data= [[0.0075441614525375931, 0.0075441071709525694, 0.0075439444612544447, 0.0075436737281766647, 0.0075432956448202425, 0.0075428111504828848, 0.0075422214476425862, 0.0075415279981176433, 0.0075407325184316523, 0.0075398369744178705, 0.0075388435751022565, 0.00753775476591042, 0.0075365732212482779, 0.007535301836510638, 0.0075339437195761846, 0.0075325021818513855, 0.007530980728929079, 0.0075293830509305998, 0.0075277130126039024, 0.0075259746432521559, 0.0075241721265708553, 0.0075223097904735551, 0.0075203920969902803, 0.0075184236323251634, 0.0075164090971646539, 0.0075143532973323121, 0.0075122611348921947, 0.0075101375998111869, 0.0075079877623001265, 0.0075058167659666506, 0.0075036298219294589, 0.0075014322040642045, 0.0074992292455792128, 0.0074970263371539189, 0.0074948289269180174, 0.0074926425226072898, 0.0074904726963073336, 0.0074883250922930852, 0.0074862054385978604, 0.0074841195631101453, 0.0074820734152109642, 0.0074800730942479769, 0.0074781248865176727, 0.0074762353129273163, 0.0074744111901808774, 0.0074726597092435168, 0.0074709885360830352, 0.0074694059414007544, 0.0074679209684504009, 0.0074665436514002636, 0.0074652853014698876, 0.0074641588849512653, 0.0074631795272633254, 0.0074623651920485649, 0.0074617376066577618, 0.0074613235395118343, 0.0074611565879757532, 0.0074612797197680216, 0.0074617489478889347, 0.0074626387467599071, 0.0074640502061273347, 0.0074661236034914424, 0.0074690583208048972, 0.0074731453843663899, 0.0074788225521376095, 0.0074867715143730985, 0.0074980979930567753, 0.0075146855862862107, 0.007539942638978633, 0.0075805269033838874, 0.0076508193647802101, 0.0077865072794633412, 0.0080963399330472655, 0.0090460233987967945, 0.014633388175199489, 0.056353934577718055, 0.012238338030824683, 0.0090022578498358732, 0.0082393824340589623, 0.0079456425726599673, 0.0078021425108515431, 0.0077216601484996266, 0.0076724120588316817, 0.0076405276688037774, 0.0076191496460973713, 0.0076045624231631014, 0.0075946062435373503, 0.0075879540484148382, 0.0075837530023016879, 0.0075814343963995379, 0.0075806070754011034, 0.0075809948178582184, 0.0075823980198896157, 0.0075846693897509646, 0.007587698008381067, 0.0075913985319126989, 0.0075957036260190514, 0.007600558460814838, 0.0076059165233994825, 0.0076117362600626216, 0.0076179782153582808, 0.0076246024318150901, 0.0076315659358911292, 0.0076388201776398752, 0.0076463083233417233, 0.0076539623297373974, 0.0076616997624726936, 0.0076694203673404503, 0.0076770024694437031, 0.0076842993725315216, 0.0076911360696473663, 0.0076973067676993565, 0.0077025739795646411, 0.0077066702442558418, 0.0077093038731278294, 0.0077101704246681085, 0.0077089717606397025, 0.0077054443355628133, 0.0076993975483384035, 0.0076907612374115314, 0.0076796385182949078, 0.0076663562445603104, 0.0076515011193541852, 0.0076359264096019543, 0.0076207145343984671, 0.0076070866833489554, 0.0075962627886866198, 0.0075892913903892389, 0.0075868836036247214, 0.007587763646582207, 0.00759035396728575, 0.0075945099111591682, 0.0076000055576221671, 0.0076065540857864497, 0.0076138320436798723, 0.0076215043685452875, 0.0076292473077443322, 0.0076367671165713403, 0.0076438133417609773, 0.0076501864195463185, 0.0076557400623057199, 0.0076603793954598863, 0.0076640560288460651, 0.0076667612494235133, 0.007668518374863713, 0.0076693750819571494, 0.0076693962784114174, 0.0076686578612415804, 0.0076672415209267921, 0.0076652306147720738, 0.0076627070429380649, 0.0076597490088280828, 0.0076564295226664771, 0.0076528155042339605, 0.0076489673503212195, 0.0076449388487663597, 0.0076407773398927889, 0.0076365240451337635, 0.0076322145000818787, 0.0076278790443770911, 0.0076235433335043491, 0.0076192288477822372, 0.0076149533818243723, 0.0076107315038651275, 0.0076065749788846119, 0.0076024931527574821, 0.007598493296958349, 0.007594580914912775, 0.0075907600120778546, 0.0075870333324182691, 0.0075834025642312905, 0.0075798685183558756, 0.0075764312817449466, 0.0075730903492352026, 0.007569844736151749, 0.0075666930741607975, 0.0075636336925503636, 0.0075606646868882641, 0.0075577839767860802, 0.0075549893542919272, 0.0075522785242460545, 0.0075496491377625543, 0.0075470988198474021, 0.0075446251920272519, 0.0075422258907437544, 0.0075398985821629946, 0.0075376409739579976, 0.0075354508245426164, 0.0075333259501658301, 0.007531264230215811, 0.007529263611031704, 0.0075273221084765467, 0.0075254378094868207, 0.0075236088727812494, 0.007521833528883878, 0.0075201100795918817, 0.0075184368969988501, 0.0075168124221662042, 0.007515235163520882, 0.007513703695044581, 0.0075122166543091723, 0.0075107727404036644, 0.0075093707117901923, 0.0075080093841202889, 0.0075066876280365426, 0.0075054043669806137, 0.0075041585750240817, 0.0075029492747356067, 0.0075017755350947762, 0.0075006364694609248, 0.0074995312336029046, 0.0074984590237944741, 0.0074974190749782276, 0.0074964106590002374, 0.0074954330829162964, 0.0074944856873701716, 0.0074935678450434072, 0.0074926789591758516, 0.0074918184621558448, 0.0074909858141781992, 0.0074901805019685257, 0.0074894020375716385, 0.0074886499572022307, 0.0074879238201553972, 0.0074872232077749998, 0.0074865477224774213, 0.0074858969868287295, 0.0074852706426727185, 0.0074846683503080012, 0.0074840897877116938, 0.0074835346498078681, 0.0074830026477787307, 0.0074824935084163964, 0.0074820069735137724, 0.0074815427992924507, 0.0074811007558661007, 0.0074806806267377225, 0.0074802822083292492, 0.0074799053095419834, 0.0074795497513466796, 0.0074792153664017761, 0.007478901998698783, 0.0074786095032335917, 0.0074783377457026878, 0.0074780866022233165, 0.0074778559590767107, 0.0074776457124734602, 0.0074774557683404928, 0.0074772860421286717, 0.0074771364586406954, 0.0074770069518784532, 0.0074768974649095784, 0.0074768079497526492, 0.0074767383672806427, 0.0074766886871424007, 0.0074766588877018059, 0.0074766489559944813, 0.0074766588877018111, 0.007476688687142405, 0.0074767383672806418, 0.0074768079497526526, 0.0074768974649095845, 0.0074770069518784593, 0.007477136458640705, 0.00747728604212867, 0.0074774557683404859, 0.0074776457124734628, 0.0074778559590767081, 0.0074780866022233269, 0.0074783377457026895, 0.0074786095032335909, 0.0074789019986987795, 0.0074792153664017735, 0.0074795497513466813, 0.0074799053095419878, 0.0074802822083292449, 0.0074806806267377207, 0.0074811007558661068, 0.0074815427992924585, 0.0074820069735137742, 0.0074824935084163921, 0.0074830026477787272, 0.0074835346498078725, 0.0074840897877116903, 0.0074846683503079995, 0.0074852706426727228, 0.0074858969868287209, 0.0074865477224774274, 0.0074872232077749989, 0.0074879238201553998, 0.0074886499572022255, 0.0074894020375716446, 0.0074901805019685292, 0.0074909858141781974, 0.0074918184621558448, 0.007492678959175849, 0.0074935678450434038, 0.0074944856873701733, 0.0074954330829162998, 0.0074964106590002322, 0.0074974190749782276, 0.0074984590237944801, 0.007499531233602909, 0.0075006364694609239, 0.0075017755350947788, 0.0075029492747356076, 0.0075041585750240782, 0.0075054043669806093, 0.0075066876280365435, 0.0075080093841202889, 0.0075093707117901949, 0.0075107727404036644, 0.0075122166543091793, 0.0075137036950445766, 0.0075152351635208812, 0.0075168124221662129, 0.0075184368969988553, 0.0075201100795918834, 0.007521833528883878, 0.007523608872781252, 0.0075254378094868155, 0.0075273221084765449, 0.0075292636110317014, 0.0075312642302158119, 0.0075333259501658319, 0.007535450824542619, 0.0075376409739579915, 0.0075398985821629938, 0.0075422258907437596, 0.0075446251920272519, 0.0075470988198474013, 0.0075496491377625499, 0.0075522785242460519, 0.0075549893542919289, 0.0075577839767860784, 0.0075606646868882641, 0.007563633692550361, 0.0075666930741607949, 0.0075698447361517481, 0.0075730903492352017, 0.0075764312817449423, 0.0075798685183558756, 0.0075834025642312923, 0.0075870333324182682, 0.0075907600120778572, 0.0075945809149127767, 0.0075984932969583464, 0.0076024931527574804, 0.0076065749788846041, 0.0076107315038651284, 0.0076149533818243628, 0.0076192288477822251, 0.0076235433335043326, 0.0076278790443770747, 0.0076322145000818778, 0.0076365240451337496, 0.0076407773398927811, 0.0076449388487663493, 0.0076489673503212117, 0.0076528155042339483, 0.0076564295226664867, 0.0076597490088280758, 0.0076627070429380649, 0.0076652306147720816, 0.0076672415209267973, 0.0076686578612415908, 0.0076693962784114235, 0.0076693750819571702, 0.0076685183748637122, 0.0076667612494235116, 0.0076640560288460686, 0.0076603793954598725, 0.0076557400623057182, 0.007650186419546302, 0.0076438133417609973, 0.007636767116571336, 0.0076292473077443313, 0.0076215043685452719, 0.0076138320436798784, 0.007606554085786448, 0.0076000055576221637, 0.0075945099111591622, 0.0075903539672857482, 0.0075877636465822053, 0.0075868836036247292, 0.0075873246768623052, 0.0075886353698567822, 0.0075907787125918851, 0.0075936950742526597, 0.0075973049798918803, 0.0076015127485654331, 0.0076062106892468197, 0.0076112835675293394, 0.0076166130607550715, 0.0076220819484178835, 0.0076275778324428759, 0.0076329962407808679, 0.0076382430300458029, 0.0076432360619637339, 0.0076479061791227421, 0.0076521975448151603, 0.0076560674384449296, 0.0076594856124526005, 0.0076624333205445923, 0.0076649021224307039, 0.0076668925597320635, 0.007668412783569379, 0.0076694771986036891, 0.0076701051725672686, 0.0076703198457102953, 0.0076701470618041785, 0.0076696144317173771, 0.0076687505321909244, 0.0076675842361656251, 0.0076661441666135491, 0.0076644582630146828, 0.007662553448081655, 0.007660455381780909, 0.0076581882898639573, 0.0076557748547819559, 0.0076532361578355449, 0.007650591662560418, 0.0076478592305698886, 0.0076450551622866637, 0.0076421942561507531, 0.0076392898809535242, 0.0076363540569053569, 0.0076333975418866398, 0.00763042992006145, 0.0076274596906551386, 0.0076244943552198014, 0.0076215405021447299, 0.0076186038875247237, 0.007615689511785372, 0.0076128016916938521, 0.0076099441275635235, 0.00760711996559947, 0.0076043318554376719, 0.0076015820030080183, 0.0075988722189070717, 0.0075962039625043897, 0.0075935783820296043, 0.0075909963509009784, 0.0075884585005601421, 0.0075859652500761274, 0.0075835168327756716, 0.0075811133201465382, 0.0075787546432492144, 0.0075764406118585068, 0.007574170931542743, 0.0075719452188735816, 0.0075697630149452423, 0.0075676237973676917, 0.007565526990885087, 0.0075634719767574505, 0.0075614581010318574, 0.0075594846818176796, 0.0075575510156699784, 0.0075556563831753023, 0.007553800053825133, 0.0075519812902539131, 0.0075501993519108681, 0.0075484534982282175, 0.0075467429913417088, 0.0075450670984139757, 0.0075434250936058196, 0.0075418162597359912, 0.0075402398896657341, 0.0075386952874404514, 0.0075371817692176536, 0.0075356986640069011, 0.0075342453142450633, 0.0075328210762272653, 0.0075314253204121382, 0.007530057431617514, 0.0075287168091212418, 0.0075274028666799655, 0.0075261150324773592, 0.0075248527490120679, 0.0075236154729341849, 0.0075224026748385419, 0.0075212138390215143, 0.0075200484632078381, 0.0075189060582528649, 0.0075177861478249869, 0.0075166882680725812, 0.0075156119672791797, 0.0075145568055100731, 0.0075135223542532265, 0.0075125081960569755, 0.0075115139241666842, 0.0075105391421620782, 0.0075095834635970369, 0.0075086465116431158, 0.007507727918737923, 0.0075068273262393851, 0.0075059443840867733, 0.007505078750469042, 0.0075042300915011883, 0.0075033980809089485, 0.0075025823997223193, 0.0075017827359780366, 0.0075009987844313723, 0.0075002302462772018, 0.0074994768288805663, 0.0074987382455167046, 0.0074980142151205281, 0.0074973044620455353, 0.0074966087158320196, 0.007495926710984588, 0.0074952581867586843, 0.0074946028869561391, 0.0074939605597295197, 0.0074921089564228835, 0.0074903654198161989, 0.0074887237528295193, 0.0074871780086117517, 0.0074857224617305759, 0.007484351584052089, 0.0074830600248890471, 0.0074818425950224391, 0.0074806942542313629, 0.0074796101019978809, 0.0074785853710852288, 0.0074776154237189661, 0.0074766957501303122, 0.0074758219692494573, 0.0074749898313636303, 0.0074741952225810347, 0.0074734341709673706, 0.0074727028542478325, 0.0074719976089946275, 0.0074713149412495919, 0.0074706515385647935, 0.0074700042834829998, 0.0074693702685266535, 0.0074687468128218351, 0.007468131480556495, 0.0074675221015651667, 0.007466916794452552, 0.0074663139928255297, 0.0074657124754102357, 0.0074651114011061509, 0.0074645103503984244, 0.0074639093750488413, 0.0074633090586668904, 0.0074627105917004751, 0.0074621158656905696, 0.0074615275934688807, 0.0074609494645874177, 0.007460386349026793, 0.0074598445677145353, 0.0074593322565026238, 0.0074588598624585421, 0.0074584408299812697, 0.0074580925633014536, 0.0074578377980555376, 0.0074577065895038352, 0.0074577392494712749, 0.0074579907767241826, 0.0074585376996185657, 0.0074594889305263923, 0.0074610035178107855, 0.0074633207194017967, 0.0074668130879115193, 0.0074720848394103931, 0.0074801650816752382, 0.0074929154659690257, 0.0075139707984346587, 0.0075511765935461789, 0.0076239827876581207, 0.0077916208959989035, 0.0083086593094584479, 0.011472976996425807, 0.094748315307895292, 0.010551601955689405, 0.0083761618850895728, 0.0079038189478376434, 0.0077255219674286398, 0.0076385553099867264, 0.0075893272200861939, 0.0075586324842700035, 0.0075381699630089668, 0.0075238600707526922, 0.0075135004776254021, 0.0075058136553866513, 0.0075000151238211387, 0.007495600330106946, 0.0074922320084474421, 0.0074896772091577347, 0.0074877704019284562, 0.0074863909763002176, 0.0074854490419823108, 0.007484876195530156, 0.0074846193569876405, 0.0074846365594408455, 0.0074848940129627201, 0.0074853640193810692, 0.0074860234669044921, 0.0074868527273985932, 0.0074878348380821441, 0.0074889548873148934, 0.0074901995489851676, 0.0074915567265737022, 0.0074930152792049131, 0.0074945648097309078, 0.0074961955002923776, 0.0074978979846177978, 0.0074996632490539252, 0.0075014825562964797, 0.0075033473872340491, 0.0075052493973828951, 0.0075071803851826466, 0.0075091322700161995, 0.0075110970782645194, 0.0075130669360467901, 0.0075150340675549194, 0.0075169907980887352, 0.007518929561050585, 0.0075208429082735881, 0.0075227235231476973, 0.0075245642360761231, 0.0075263580418475674, 0.0075280981185498596, 0.0075297778476823042, 0.0075313908351479662, 0.0075329309328263129, 0.0075343922604422303, 0.0075357692274605568, 0.0075370565547467671, 0.0075382492957460686, 0.0075393428569433627, 0.0075403330173792506, 0.0075412159470090211, 0.0075419882237058944, 0.0075426468487249237, 0.0075431892604605312, 0.0075436133463495899, 0.0075439174527911056, 0.0075441003929753222, 0.0075441614525375931, 0.0075441207425789858, 0.0075439987287515527, 0.0075437957588239861, 0.0075435124111589685, 0.0075431494928437813, 0.0075427080370902393, 0.007542189299920515, 0.007541594756160213, 0.0075409260947642449, 0.0075401852135050665, 0.0075393742130568792, 0.0075384953905126527, 0.0075375512323742422, 0.0075365444070585588, 0.0075354777569652531, 0.0075343542901539365, 0.007533177171679872, 0.0075319497146396248, 0.0075306753709782912, 0.0075293577221112748, 0.0075280004694139062, 0.007526607424632176, 0.0075251825002684031, 0.0075237296999946341, 0.0075222531091468457, 0.0075207568853523123, 0.0075192452493418674, 0.0075177224759983199, 0.0075161928856920298, 0.0075146608359540467, 0.007513130713537426, 0.007511606926917499, 0.00751009389928227, 0.0075085960620658873, 0.0075071178490793119, 0.0075056636912950378, 0.0075042380123464779, 0.0075028452248066552, 0.0075014897273168804, 0.0075001759026433459, 0.0074989081167484289, 0.0074976907189746754, 0.0074965280434527246, 0.0074954244118609443, 0.0074943841376841772, 0.0074934115321425897, 0.0074925109119904389, 0.0074916866094186293, 0.0074909429843362189, 0.0074902844393557053, 0.0074897154378663804, 0.0074892405256524047, 0.0074888643565990329, 0.0074885917231363557, 0.007488427592198193, 0.0074883771476309492, 0.0074884458401791674, 0.0074886394464111451, 0.0074889641382401544, 0.007489426565059203, 0.0074900339509595204, 0.0074907942100697848, 0.0074917160837669802, 0.0074928093044150761, 0.0074940847914409976, 0.0074955548870372785, 0.0074972336406907503, 0.0074991371542197805, 0.0075012840022536274, 0.0075036957473765464, 0.0075063975748633043, 0.0075094190795838107, 0.0075127952480091758, 0.0075165676924002422, 0.0075207862137901347, 0.0075255107976252861, 0.0075308141844018127, 0.0075367852126227482, 0.0075435332110520385, 0.0075511938342835072, 0.0075599369103207864, 0.0075699771339843803, 0.0075815888497876207, 0.0075951268142346179, 0.0076110558693557638, 0.0076299941798778602, 0.0076527776049584969, 0.0076805578757469318, 0.007714956465966971, 0.007758313334942194, 0.0078141035900137715, 0.0078876647920861128, 0.0079875293936860631, 0.0081280102511816499, 0.00833457850459054, 0.0086560474646194506, 0.0091953012354367859, 0.010198186938795295, 0.012359833090022703, 0.018100012518319438, 0.035418399635064039, 0.040731886468406288, 0.020420496273398807, 0.013108944105244619, 0.010497588919145354, 0.0093367515582625377, 0.0087313255832839193, 0.0083785682666041271, 0.008156005530184942, 0.0080069971164747587, 0.0079025695152200332, 0.0078266996574493982, 0.0077699612986038662, 0.0077265245479782828, 0.0076926322611696914, 0.0076657786758994586, 0.0076442438738196757, 0.0076268184626751461, 0.0076126347148684796, 0.0076010596967495351, 0.0075916257772074974, 0.0075839843890064288, 0.0075778746735472883, 0.0075731019132074823, 0.0075695225768662514, 0.0075670339666878209, 0.0075655671795109777, 0.0075650825649306004], [0.0075339382618167389, 0.0075338846776346006, 0.007533724058369262, 0.0075334568034325609, 0.0075330835770760357, 0.0075326053062497421, 0.0075320231776271054, 0.0075313386338175369, 0.0075305533687949526, 0.0075296693225761916, 0.0075286886751881549, 0.0075276138399682953, 0.0075264474562476476, 0.0075251923814698973, 0.0075238516828042799, 0.0075224286283139246, 0.0075209266777446267, 0.0075193494730019543, 0.0075177008283881727, 0.0075159847206724478, 0.0075142052790713116, 0.0075123667752182372, 0.0075104736132052662, 0.0075085303197817681, 0.0075065415348002529, 0.0075045120020035879, 0.0075024465602537499, 0.0075003501353103777, 0.0074982277322764119, 0.0074960844288408778, 0.0074939253694649528, 0.0074917557606771299, 0.0074895808676704546, 0.0074874060124279392, 0.0074852365736457404, 0.0074830779887792446, 0.0074809357586094246, 0.0074788154548192211, 0.0074767227311901665, 0.0074746633391862532, 0.0074726431488965905, 0.0074706681765776906, 0.0074687446203922361, 0.0074668789064147824, 0.0074650777476100482, 0.007463348219347004, 0.00746169785618049, 0.0074601347762377089, 0.0074586678417749783, 0.0074573068675940638, 0.0074560628934357952, 0.0074549485428221538, 0.0074539785000507508, 0.0074531701506498679, 0.0074525444509496719, 0.0074521271233578381, 0.0074519503217900136, 0.0074520549872073762, 0.0074524942348675235, 0.0074533383155403277, 0.0074546820325357074, 0.0074566560879530093, 0.007459444895856226, 0.007463315385989054, 0.0074686651843755905, 0.0074761064380500508, 0.0074866185490252181, 0.0075018422284736722, 0.0075246848107684006, 0.0075606743262223147, 0.0076213284921134222, 0.007733811661226022, 0.0079747221578918229, 0.0086307206127913989, 0.011524877965541556, 0.052464107504806415, 0.016366541136167499, 0.0096357831756424817, 0.0084460421657870394, 0.00803875259725427, 0.0078517972316933995, 0.0077508068446604447, 0.0076904735835866805, 0.0076520062940899471, 0.007626444807883449, 0.0076090638121276378, 0.0075971739658746628, 0.0075891506923623994, 0.0075839646648090684, 0.0075809378636072346, 0.0075796091259274882, 0.0075796562875368369, 0.0075808491472101145, 0.0075830199751161466, 0.0075860443847836816, 0.0075898285180607782, 0.0075943001692272806, 0.007599402406395366, 0.0076050887827469734, 0.007611319544520042, 0.0076180584312110621, 0.0076252697780921251, 0.0076329157015134277, 0.0076409531914668058, 0.0076493309652361395, 0.0076579859595180596, 0.0076668393642964437, 0.0076757921390145454, 0.0076847200114760674, 0.0076934680570954024, 0.0077018451094272499, 0.0077096184850156619, 0.007716509840498981, 0.0077221934360133379, 0.0077262986548236115, 0.0077284192782318267, 0.0077281326067018159, 0.0077250317893386737, 0.0077187742354618187, 0.0077091471260606432, 0.007696147172279233, 0.0076800655412681716, 0.0076615608494049617, 0.007641695473177587, 0.0076219072078638865, 0.0076038945481837908, 0.0075894128767729132, 0.007580008395967547, 0.0075767467071682568, 0.0075779335171290915, 0.007581418322658919, 0.0075869824927440616, 0.0075942876829346992, 0.007602910243949019, 0.0076123812706567397, 0.0076222265222183729, 0.0076320012985890279, 0.0076413169745846018, 0.0076498577652150549, 0.0076573879758659313, 0.0076637511949574442, 0.0076688635236271674, 0.0076727030679022371, 0.0076752976888408899, 0.0076767125791474137, 0.0076770387498093749, 0.0076763830622011151, 0.0076748600800061705, 0.0076725857564222798, 0.0076696728083236951, 0.0076662275422278627, 0.007662347865911889, 0.0076581222249316634, 0.007653629229549627, 0.0076489377734092678, 0.0076441074832816636, 0.007639189374945789, 0.007634226621516714, 0.0076292553664958698, 0.0076243055345375328, 0.0076194016089202159, 0.0076145633566911388, 0.0076098064911595915, 0.0076051432675518019, 0.0076005830118044439, 0.007596132585169545, 0.0075917967889291916, 0.0075875787143825672, 0.0075834800436090418, 0.0075795013065016632, 0.0075756420993347189, 0.0075719012697666758, 0.0075682770727501947, 0.0075647673013660294, 0.0075613693961463354, 0.0075580805360225059, 0.0075548977136331557, 0.0075518177973646393, 0.0075488375821707483, 0.0075459538309297159, 0.0075431633078432564, 0.0075404628051615064, 0.007537849164326235, 0.007535319292459511, 0.0075328701749832593, 0.0075304988850334988, 0.0075282025902294325, 0.0075259785572691215, 0.0075238241547483757, 0.0075217368545356352, 0.0075197142319817813, 0.0075177539651979245, 0.007515853833595665, 0.0075140117158516255, 0.0075122255874308175, 0.0075104935177797549, 0.0075088136672813678, 0.0075071842840468313, 0.0075056037006060762, 0.0075040703305470201, 0.0075025826651439866, 0.0075011392700078134, 0.0074997387817831475, 0.0074983799049132887, 0.007497061408487782, 0.0074957821231845887, 0.0074945409383151062, 0.0074933367989780068, 0.0074921687033254339, 0.0074910356999436985, 0.0074899368853488255, 0.0074888714015965861, 0.0074878384340052988, 0.0074868372089894842, 0.0074858669920014088, 0.0074849270855776584, 0.0074840168274870663, 0.0074831355889765135, 0.0074822827731109171, 0.0074814578132033696, 0.0074806601713318221, 0.0074798893369382845, 0.0074791448255069389, 0.0074784261773173516, 0.0074777329562692868, 0.0074770647487754664, 0.0074764211627191841, 0.0074758018264731978, 0.0074752063879771312, 0.0074746345138701356, 0.0074740858886761588, 0.0074735602140391681, 0.0074730572080055164, 0.0074725766043513796, 0.0074721181519527688, 0.0074716816141959684, 0.007471266768426515, 0.0074708734054346627, 0.0074705013289756194, 0.0074701503553229491, 0.0074698203128533919, 0.0074695110416618665, 0.0074692223932051787, 0.0074689542299732001, 0.0074687064251863829, 0.0074684788625185398, 0.0074682714358438734, 0.0074680840490074785, 0.0074679166156183079, 0.007467769058864141, 0.0074676413113475698, 0.0074675333149427465, 0.0074674450206722118, 0.0074673763886033565, 0.007467327387764228, 0.0074672979960783772, 0.0074672882003184492, 0.0074672979960783798, 0.0074673273877642297, 0.0074673763886033539, 0.0074674450206722136, 0.0074675333149427535, 0.0074676413113475724, 0.0074677690588641488, 0.0074679166156183105, 0.0074680840490074733, 0.0074682714358438734, 0.0074684788625185364, 0.0074687064251863907, 0.0074689542299732035, 0.0074692223932051769, 0.0074695110416618622, 0.0074698203128533919, 0.0074701503553229534, 0.0074705013289756246, 0.0074708734054346549, 0.0074712667684265141, 0.0074716816141959744, 0.007472118151952774, 0.007472576604351383, 0.0074730572080055121, 0.0074735602140391672, 0.0074740858886761631, 0.0074746345138701313, 0.0074752063879771286, 0.0074758018264732022, 0.0074764211627191745, 0.007477064748775469, 0.0074777329562692877, 0.0074784261773173551, 0.0074791448255069337, 0.0074798893369382898, 0.007480660171331829, 0.0074814578132033722, 0.0074822827731109215, 0.0074831355889765144, 0.0074840168274870637, 0.0074849270855776619, 0.007485866992001414, 0.0074868372089894782, 0.0074878384340052988, 0.0074888714015965904, 0.007489936885348829, 0.0074910356999436942, 0.0074921687033254365, 0.0074933367989780094, 0.0074945409383151036, 0.0074957821231845835, 0.0074970614084877863, 0.0074983799049132931, 0.007499738781783151, 0.0075011392700078117, 0.0075025826651439935, 0.0075040703305470158, 0.0075056037006060762, 0.0075071842840468356, 0.0075088136672813747, 0.0075104935177797566, 0.0075122255874308166, 0.0075140117158516255, 0.0075158538335956589, 0.0075177539651979227, 0.0075197142319817804, 0.0075217368545356369, 0.0075238241547483766, 0.007525978557269125, 0.0075282025902294264, 0.0075304988850334979, 0.0075328701749832628, 0.007535319292459511, 0.0075378491643262324, 0.0075404628051615012, 0.0075431633078432564, 0.007545953830929715, 0.0075488375821707475, 0.0075518177973646367, 0.0075548977136331531, 0.0075580805360225016, 0.0075613693961463337, 0.0075647673013660294, 0.0075682770727501921, 0.0075719012697666715, 0.0075756420993347215, 0.0075795013065016606, 0.0075834800436090453, 0.0075875787143825707, 0.007591796788929189, 0.0075961325851695424, 0.0076005830118044369, 0.0076051432675518045, 0.0076098064911595776, 0.0076145633566911258, 0.0076194016089201995, 0.0076243055345375146, 0.0076292553664958672, 0.0076342266215166984, 0.0076391893749457795, 0.0076441074832816515, 0.0076489377734092643, 0.0076536292295496158, 0.0076581222249316756, 0.0076623478659118838, 0.0076662275422278627, 0.0076696728083237046, 0.0076725857564222798, 0.0076748600800061835, 0.0076763830622011229, 0.0076770387498093975, 0.0076767125791474119, 0.0076752976888408873, 0.0076727030679022458, 0.0076688635236271518, 0.0076637511949574416, 0.0076573879758659062, 0.0076498577652150852, 0.0076413169745845992, 0.0076320012985890287, 0.0076222265222183538, 0.0076123812706567449, 0.0076029102439490147, 0.007594287682934694, 0.0075869824927440556, 0.0075814183226589164, 0.0075779335171290872, 0.007576746707168262, 0.0075773417112199098, 0.0075791076774567555, 0.0075819885248174339, 0.0075858942126744797, 0.0075907055642402141, 0.0075962804252805759, 0.0076024606556396625, 0.0076090794202184758, 0.0076159682725783062, 0.0076229635984578197, 0.0076299120930298728, 0.0076366750674061431, 0.0076431315004329287, 0.0076491798582185482, 0.0076547387876083235, 0.0076597468472160615, 0.0076641614709159721, 0.0076679573671605697, 0.0076711245480776454, 0.0076736661605611529, 0.0076755962627718076, 0.0076769376580361048, 0.0076777198674324084, 0.0076779772946286313, 0.0076777476130475385, 0.0076770703866714893, 0.0076759859216659031, 0.0076745343360677502, 0.0076727548284140929, 0.0076706851226770447, 0.0076683610655517761, 0.007665816352399559, 0.0076630823594695547, 0.0076601880619989798, 0.0076571600201046763, 0.0076540224168067028, 0.0076507971348998638, 0.0076475038616180338, 0.0076441602120535272, 0.0076407818640759351, 0.0076373826990327361, 0.0076339749438194635, 0.0076305693109946565, 0.0076271751345085188, 0.0076238004993372764, 0.0076204523638919233, 0.0076171366745224171, 0.0076138584717884636, 0.0076106219884322351, 0.0076074307391842608, 0.0076042876026744428, 0.0076011948958164223, 0.0075981544410962535, 0.0075951676272319156, 0.0075922354636863507, 0.0075893586295174452, 0.0075865375170381961, 0.0075837722707431318, 0.0075810628219338131, 0.0075784089194504177, 0.0075758101568890249, 0.0075732659966553009, 0.0075707757911777701, 0.0075683388015760442, 0.0075659542140534466, 0.0075636211542584866, 0.0075613386998366686, 0.0075591058913722226, 0.0075569217418998275, 0.0075547852451476926, 0.007552695382657135, 0.0075506511299081955, 0.0075486514615672922, 0.0075466953559603792, 0.0075447817988639147, 0.007542909786695709, 0.0075410783291787126, 0.0075392864515427364, 0.0075375331963216472, 0.0075358176247972367, 0.0075341388181349531, 0.0075324958782516825, 0.0075308879284510686, 0.0075293141138575723, 0.0075277736016772087, 0.0075262655813091014, 0.0075247892643296741, 0.0075233438843681517, 0.0075219286968903169, 0.007520542978904937, 0.0075191860286058934, 0.0075178571649611751, 0.0075165557272586061, 0.0075152810746169771, 0.0075140325854699697, 0.0075128096570295632, 0.0075116117047344094, 0.0075104381616882109, 0.0075092884780923255, 0.0075081621206761606, 0.0075070585721285655, 0.0075059773305328282, 0.0075049179088075638, 0.0075038798341553505, 0.0075028626475207626, 0.00750186590305913, 0.007500889167616904, 0.0074999320202248183, 0.0074989940516042809, 0.007498074863687614, 0.0074971740691524551, 0.0074962912909707852, 0.0074954261619724558, 0.0074945783244235531, 0.0074937474296194306, 0.0074929331374924213, 0.0074921351162340792, 0.0074913530419318114, 0.0074905865982196115, 0.0074898354759427863, 0.0074890993728362627, 0.0074883779932163027, 0.0074876710476852529, 0.0074869782528490256, 0.0074862993310470275, 0.007485634010094072, 0.0074849820230341044, 0.0074843431079052725, 0.0074825022447733355, 0.0074807700328825243, 0.007479140086734083, 0.0074776063039644503, 0.0074761628313779593, 0.0074748040365197671, 0.0074735244842155562, 0.0074723189175585659, 0.0074711822428777689, 0.0074701095182712913, 0.0074690959453359148, 0.0074681368637670902, 0.0074672277485435092, 0.0074663642094471268, 0.0074655419927032287, 0.007464756984557069, 0.0074640052166339054, 0.0074632828729592551, 0.0074625862985467787, 0.007461912009493591, 0.0074612567045587545, 0.0074606172782420632, 0.0074599908354295108, 0.0074593747077320053, 0.0074587664717195596, 0.007458163969349286, 0.0074575653310097372, 0.0074569690017663188, 0.0074563737716065257, 0.0074557788107681182, 0.0074551837116156403, 0.0074545885390475946, 0.0074539938921235321, 0.0074534009805751365, 0.0074528117212242524, 0.0074522288612451758, 0.0074516561379375963, 0.0074510984886152123, 0.0074505623299773536, 0.0074500559348825487, 0.0074495899473366626, 0.0074491780962782153, 0.0074488381996260806, 0.0074485935992762379, 0.0074484752479482422, 0.0074485248027408926, 0.0074487993101349237, 0.0074493784738232744, 0.007450376241072137, 0.0074519598595366226, 0.0074543823732118146, 0.0074580404232069018, 0.0074635823287014565, 0.0074721227251497409, 0.0074857015329627503, 0.0075083612859393259, 0.0075490029339222529, 0.0076303265600636541, 0.0078245845385790744, 0.0084686244011272314, 0.013361461398166529, 0.042958291237074057, 0.0098106059546471409, 0.0082405383491576702, 0.0078514842054087756, 0.0076964046376784175, 0.0076184522572783023, 0.0075734745787939947, 0.0075450573494489966, 0.0075259304090658802, 0.0075124576613684272, 0.0075026500126602787, 0.0074953415752200235, 0.0074898103913058978, 0.0074855888904986744, 0.0074823626963220324, 0.0074799135777083164, 0.007478085783765312, 0.0074767653890076427, 0.0074758671885439484, 0.0074753261369191427, 0.0074750916098538242, 0.0074751234698025738, 0.0074753893133481224, 0.0074758625104879321, 0.0074765207853917078, 0.0074773451742832057, 0.0074783192504464377, 0.0074794285414017739, 0.0074806600863334015, 0.0074820020972608771, 0.0074834436979255951, 0.0074849747215934709, 0.0074865855540340986, 0.0074882670115211311, 0.0074900102462685586, 0.0074918066735799489, 0.0074936479163512544, 0.0074955257635745216, 0.0074974321402401034, 0.0074993590865976272, 0.0075012987451606892, 0.0075032433541630823, 0.0075051852464202966, 0.0075071168527379066, 0.0075090307091534971, 0.0075109194674089601, 0.0075127759081355201, 0.007514592956299148, 0.0075163636985043384, 0.0075180814017924156, 0.0075197395336007939, 0.0075213317825723221, 0.007522852079922069, 0.0075242946210837989, 0.0075256538873709018, 0.0075269246673975122, 0.0075281020780167442, 0.0075291815845428102, 0.0075301590200361644, 0.0075310306034422365, 0.0075317929563883893, 0.0075324431184584347, 0.0075329785607804569, 0.0075333971977821976, 0.0075336973969870619, 0.0075338779867452511, 0.0075339382618167389, 0.007533898074898562, 0.0075337776287197891, 0.0075335772666365215, 0.0075332975596745511, 0.0075329393046860661, 0.0075325035217858214, 0.007531991451083085, 0.0075314045487304979, 0.0075307444823148745, 0.0075300131256191847, 0.0075292125527886842, 0.0075283450319376327, 0.0075274130182360881, 0.007526419146519212, 0.0075253662234637834, 0.0075242572193791541, 0.0075230952596608896, 0.0075218836159576868, 0.0075206256971023979, 0.0075193250398592213, 0.0075179852995394605, 0.0075166102405382637, 0.0075152037268450978, 0.0075137697125799187, 0.007512312232606966, 0.0075108353932776296, 0.0075093433633529232, 0.0075078403651557659, 0.0075063306660028322, 0.0075048185699650785, 0.0075033084100062219, 0.0075018045405483638, 0.0075003113305143155, 0.0074988331568976909, 0.0074973743989127832, 0.0074959394327787148, 0.0074945326271957241, 0.0074931583395750493, 0.0074918209130894475, 0.0074905246746179224, 0.0074892739336663589, 0.0074880729823560092, 0.0074869260965839211, 0.0074858375384745206, 0.0074848115602593997, 0.0074838524097440504, 0.0074829643375463597, 0.0074821516063227206, 0.0074814185022350757, 0.0074807693489568729, 0.007480208524569907, 0.0074797404817684736, 0.0074793697718654652, 0.0074791010731890773, 0.007478939224572911, 0.0074788892647812567, 0.0074789564788802915, 0.0074791464527733283, 0.0074794651373732111, 0.0074799189241994083, 0.0074805147345778991, 0.0074812601251087402, 0.0074821634126756974, 0.0074832338230408357, 0.0074844816680397384, 0.0074859185576334475, 0.0074875576546628861, 0.0074894139822040354, 0.0074915047960887327, 0.0074938500386469162, 0.0074964728943296881, 0.0074994004739942048, 0.0075026646628389886, 0.0075063031780839128, 0.0075103608976592488, 0.0075148915421020812, 0.0075199598210612074, 0.0075256441970227269, 0.0075320404777516736, 0.0075392665342063712, 0.0075474685659204987, 0.0075568295226816759, 0.0075675805747774973, 0.0075800169620149184, 0.0075945202419860228, 0.0076115900701024209, 0.0076318904791644717, 0.0076563187368380208, 0.0076861102905131252, 0.0077230031122260713, 0.0077695031271292903, 0.007829328333244668, 0.0079081829854463059, 0.0080151734895842694, 0.0081655496969654552, 0.0083863893192157295, 0.0087294192728128335, 0.0093031309351824035, 0.01036460804145123, 0.012628853978767104, 0.01848644674419465, 0.034821522897254951, 0.039091687053209971, 0.020545019023107892, 0.013292931616363433, 0.010614212960797195, 0.0094075596585595847, 0.0087743662923391065, 0.0084042626719676491, 0.0081703579532305757, 0.0080136170673863437, 0.0079037309877581976, 0.0078238992672029876, 0.0077642238704610147, 0.0077185778145853739, 0.0076830109375252168, 0.0076548888506970158, 0.0076324042567624175, 0.0076142876846052648, 0.0075996299890023601, 0.0075877700155715724, 0.0075782216114937814, 0.0075706251537687097, 0.0075647148113382849, 0.0075602962005530509, 0.0075572311202851536, 0.0075554272858761769, 0.0075548317590601885], [0.0075589072737511191, 0.007558854138369939, 0.007558694864326765, 0.0075584298474951741, 0.007558059746242538, 0.0075575854793081768, 0.0075570082228551133, 0.0075563294067169358, 0.0075555507098678133, 0.0075546740551492757, 0.0075537016032923609, 0.0075526357462793363, 0.0075514791000939061, 0.007550234496912861, 0.0075489049767965321, 0.0075474937789392123, 0.007546004332543885, 0.0075444402473886533, 0.0075428053041556664, 0.0075411034445953627, 0.0075393387616022175, 0.0075375154892800998, 0.0075356379930792122, 0.0075337107600887843, 0.0075317383895742362, 0.0075297255838519669, 0.0075276771396003746, 0.0075255979397136265, 0.0075234929458134342, 0.007521367191546344, 0.0075192257768095976, 0.0075170738630676529, 0.0075149166699474716, 0.0075127594733327089, 0.0075106076052187448, 0.0075084664556438205, 0.007506341477080832, 0.0075042381917630532, 0.0075021622025320447, 0.0075001192079460653, 0.0074981150225821675, 0.0074961556037215415, 0.0074942470859458666, 0.0074923958256211294, 0.0074906084578459974, 0.007488891969250463, 0.007487253791129374, 0.0074857019189009015, 0.0074842450659625371, 0.0074828928629271148, 0.0074816561173315296, 0.0074805471547842728, 0.0074795802710173574, 0.0074787723367741778, 0.0074781436160172732, 0.0074777188859909451, 0.007477528990820167, 0.0074776130279489358, 0.0074780214748995716, 0.0074788207408455964, 0.007480099924453888, 0.0074819810716723525, 0.0074846351385063044, 0.0074883075430826618, 0.0074933604107898536, 0.0075003450761635159, 0.0075101320688543589, 0.0075241565574972078, 0.0075449117120638832, 0.0075770198379960232, 0.0076297961195031828, 0.0077242219736468548, 0.0079155669217133174, 0.0083887177190612727, 0.010082463135995623, 0.025019455724339713, 0.027869937718973503, 0.010787576130585301, 0.0087876038955932382, 0.0082012258843520962, 0.0079519985968609288, 0.0078232888821308435, 0.0077485505526988518, 0.0077017674426336953, 0.007671033021575499, 0.0076502552970978679, 0.0076360469698894835, 0.0076263995469458175, 0.0076200598374470251, 0.0076162131444728167, 0.0076143118471685501, 0.007613977678329548, 0.0076149434910904234, 0.0076170171967274948, 0.0076200586500424416, 0.0076239643479365507, 0.0076286569675494357, 0.0076340779567919004, 0.0076401820628334907, 0.0076469330753347184, 0.007654300292592126, 0.0076622553562912159, 0.0076707691812705845, 0.0076798087522858419, 0.0076893335838139742, 0.0076992916511918249, 0.0077096146104872129, 0.0077202121402663408, 0.0077309652740318877, 0.0077417186665588496, 0.0077522718781434709, 0.0077623700064055612, 0.0077716943962796766, 0.0077798547744843422, 0.0077863850401344104, 0.0077907461177620253, 0.0077923406651521452, 0.0077905457490872396, 0.0077847702426950913, 0.0077745425794438277, 0.0077596300941249101, 0.0077401819223489651, 0.0077168727959264702, 0.0076910074089407889, 0.0076645313620729407, 0.0076398965221502529, 0.007619757167418216, 0.007606529768609648, 0.0076019158918697672, 0.0076035887604665557, 0.0076084845899344212, 0.007616250590592461, 0.0076263474483249973, 0.0076381122898251603, 0.0076508296861011686, 0.0076637992378782976, 0.0076763907781600121, 0.007688082112972343, 0.0076984782323829626, 0.0077073140913410413, 0.0077144449273101505, 0.0077198286712589961, 0.0077235046423601373, 0.0077255718141299723, 0.0077261688703686316, 0.0077254572844603344, 0.0077236078827821204, 0.0077207908242799914, 0.0077171686183584391, 0.0077128916615911373, 0.0077080957463104395, 0.0077029010345683099, 0.0076974120647617791, 0.0076917184423958545, 0.0076858959473895009, 0.0076800078611226107, 0.0076741063745530205, 0.0076682339842580726, 0.007662424817537811, 0.0076567058526349572, 0.0076510980176153244, 0.0076456171632649202, 0.0076402749129667732, 0.0076350793971090439, 0.0076300358820510141, 0.0076251473047212141, 0.007620414724039605, 0.0076158376998961405, 0.0076114146096307473, 0.0076071429110094466, 0.0076030193596891898, 0.0075990401881779754, 0.00759520125236868, 0.0075914981508759033, 0.0075879263216445383, 0.0075844811196280736, 0.0075811578787496033, 0.0075779519608537146, 0.0075748587939240344, 0.0075718739014720513, 0.007568992924689608, 0.0075662116386925552, 0.0075635259639601363, 0.0075609319738870299, 0.0075584258992081252, 0.0075560041299244677, 0.007553663215249095, 0.0075513998619999839, 0.0075492109317909185, 0.0075470934373078171, 0.0075450445379052654, 0.0075430615347143572, 0.0075411418654166397, 0.0075392830988089436, 0.0075374829292593603, 0.0075357391711336147, 0.0075340497532549906, 0.0075324127134463788, 0.0075308261931922357, 0.0075292884324485634, 0.0075277977646216474, 0.0075263526117301362, 0.0075249514797598874, 0.0075235929542172824, 0.0075222756958832253, 0.0075209984367678086, 0.0075197599762633046, 0.007518559177491925, 0.0075173949638433785, 0.0075162663156965823, 0.0075151722673190355, 0.0075141119039372354, 0.0075130843589708857, 0.0075120888114239099, 0.0075111244834248792, 0.0075101906379098533, 0.0075092865764404184, 0.0075084116371501013, 0.0075075651928125549, 0.007506746649024839, 0.0075059554424998067, 0.0075051910394613938, 0.0075044529341373352, 0.0075037406473436995, 0.0075030537251561842, 0.0075023917376631621, 0.0075017542777960121, 0.007501140960232089, 0.0075005514203664988, 0.0074999853133484781, 0.0074994423131788997, 0.0074989221118654803, 0.0074984244186321498, 0.0074979489591800097, 0.0074974954749966113, 0.0074970637227111166, 0.0074966534734928264, 0.0074962645124907129, 0.0074958966383117977, 0.0074955496625364396, 0.0074952234092685397, 0.0074949177147190446, 0.0074946324268211073, 0.0074943674048754093, 0.007494122519224297, 0.0074938976509535222, 0.0074936926916203258, 0.0074935075430070525, 0.0074933421168990634, 0.0074931963348864108, 0.0074930701281881963, 0.0074929634374992417, 0.0074928762128583523, 0.0074928084135376027, 0.0074927600079523829, 0.0074927309735917848, 0.0074927212969690292, 0.0074927309735917866, 0.0074927600079523881, 0.0074928084135376018, 0.0074928762128583541, 0.0074929634374992478, 0.007493070128188198, 0.0074931963348864195, 0.007493342116899066, 0.0074935075430070481, 0.0074936926916203284, 0.0074938976509535188, 0.0074941225192243083, 0.0074943674048754093, 0.0074946324268211038, 0.0074949177147190368, 0.007495223409268538, 0.0074955496625364448, 0.0074958966383118029, 0.0074962645124907103, 0.0074966534734928246, 0.0074970637227111218, 0.0074974954749966174, 0.0074979489591800123, 0.0074984244186321464, 0.0074989221118654768, 0.0074994423131789032, 0.0074999853133484755, 0.007500551420366498, 0.0075011409602320925, 0.0075017542777960034, 0.0075023917376631664, 0.0075030537251561851, 0.0075037406473437004, 0.0075044529341373317, 0.0075051910394613999, 0.0075059554424998128, 0.007506746649024839, 0.0075075651928125584, 0.0075084116371501022, 0.0075092865764404167, 0.0075101906379098533, 0.0075111244834248836, 0.0075120888114239065, 0.0075130843589708857, 0.0075141119039372397, 0.0075151722673190398, 0.0075162663156965797, 0.0075173949638433794, 0.0075185591774919259, 0.0075197599762633002, 0.0075209984367678069, 0.0075222756958832279, 0.0075235929542172807, 0.0075249514797598909, 0.0075263526117301371, 0.0075277977646216535, 0.0075292884324485625, 0.0075308261931922348, 0.0075324127134463841, 0.0075340497532549958, 0.0075357391711336199, 0.0075374829292593612, 0.0075392830988089436, 0.0075411418654166311, 0.0075430615347143563, 0.0075450445379052654, 0.0075470934373078188, 0.0075492109317909202, 0.0075513998619999865, 0.0075536632152490906, 0.007556004129924466, 0.0075584258992081287, 0.0075609319738870299, 0.0075635259639601354, 0.00756621163869255, 0.0075689929246896071, 0.0075718739014720548, 0.0075748587939240336, 0.0075779519608537137, 0.0075811578787495981, 0.0075844811196280693, 0.0075879263216445348, 0.0075914981508758989, 0.0075952012523686756, 0.0075990401881779702, 0.0076030193596891915, 0.007607142911009444, 0.007611414609630749, 0.0076158376998961422, 0.0076204147240396033, 0.0076251473047212123, 0.0076300358820510054, 0.0076350793971090456, 0.0076402749129667576, 0.0076456171632649063, 0.0076510980176153062, 0.0076567058526349338, 0.0076624248175378093, 0.0076682339842580535, 0.0076741063745530119, 0.0076800078611225986, 0.007685895947389494, 0.0076917184423958389, 0.0076974120647617895, 0.0077029010345682995, 0.0077080957463104395, 0.0077128916615911503, 0.0077171686183584417, 0.0077207908242800131, 0.0077236078827821308, 0.0077254572844603639, 0.0077261688703686307, 0.0077255718141299706, 0.0077235046423601563, 0.0077198286712589666, 0.0077144449273101523, 0.0077073140913410049, 0.0076984782323830016, 0.0076880821129723395, 0.0076763907781600086, 0.0076637992378782681, 0.0076508296861011781, 0.0076381122898251516, 0.0076263474483249886, 0.0076162505905924558, 0.0076084845899344186, 0.0076035887604665522, 0.0076019158918697741, 0.0076027549271858851, 0.00760524105688284, 0.0076092833508582813, 0.0076147367135969831, 0.0076214108714725594, 0.0076290816728585877, 0.0076375036467499768, 0.007646422738185465, 0.00765558824102838, 0.0076647631495501299, 0.0076737324076180911, 0.0076823088045275155, 0.0076903365126494575, 0.007697692458684114, 0.0077042858550388895, 0.0077100562900399659, 0.0077149707932256178, 0.0077190202676487478, 0.0077222156292012598, 0.0077245839267334991, 0.0077261646469440146, 0.0077270063423391638, 0.0077271636637019454, 0.0077266948326508321, 0.0077256595553295794, 0.0077241173541700396, 0.007722126279442086, 0.0077197419541582529, 0.0077170169030537812, 0.0077140001172336103, 0.0077107368093621061, 0.0077072683189362313, 0.0077036321324752549, 0.0076998619888495245, 0.0076959880451082435, 0.0076920370828548988, 0.0076880327393472701, 0.0076839957510455173, 0.0076799442003046619, 0.0076758937583552107, 0.0076718579196910514, 0.0076678482245541111, 0.0076638744674291546, 0.0076599448904006344, 0.0076560663609276589, 0.0076522445341093035, 0.0076484839998787243, 0.007644788415814981, 0.0076411606264208095, 0.0076376027698064255, 0.007634116372760371, 0.0076307024351919108, 0.0076273615049072697, 0.0076240937436413509, 0.0076208989852149982, 0.007617776786628957, 0.0076147264728437516, 0.007611747175932616, 0.0076088378692327624, 0.0076059973970616247, 0.0076032245005092022, 0.0076005178397651196, 0.007597876013391504, 0.0075952975749081896, 0.007592781047016931, 0.00759032493375457, 0.0075879277308325494, 0.0075855879343902678, 0.0075833040483637348, 0.0075810745906468545, 0.007578898098202151, 0.0075767731312585606, 0.0075746982767175806, 0.0075726721508742236, 0.0075706934015462597, 0.0075687607096936978, 0.0075668727906001909, 0.0075650283946793089, 0.0075632263079605157, 0.0075614653523028699, 0.00755974438537822, 0.0075580623004604646, 0.007556418026052605, 0.0075548105253790982, 0.007553238795767663, 0.0075517018679410733, 0.00755019880523718, 0.007548728702772396, 0.0075472906865622939, 0.0075458839126106032, 0.0075445075659766108, 0.00754316085982928, 0.0075418430344953331, 0.0075405533565073733, 0.0075392911176570664, 0.0075380556340579044, 0.0075368462452208487, 0.007535662313145999, 0.0075345032214326826, 0.0075333683744097883, 0.0075322571962879803, 0.0075311691303349458, 0.0075301036380745288, 0.0075290601985103867, 0.0075280383073745875, 0.0075270374764013666, 0.0075260572326259264, 0.0075250971177085076, 0.0075241566872832301, 0.007523235510331564, 0.0075223331685799711, 0.0075214492559214138, 0.0075205833778600115, 0.0075197351509785739, 0.0075189042024282025, 0.0075180901694395612, 0.0075172926988550442, 0.0075165114466813959, 0.007515746077661963, 0.0075149962648681104, 0.0075142616893090746, 0.0075135420395596939, 0.0075128370114053338, 0.0075121463075034593, 0.0075114696370612603, 0.0075108067155286225, 0.00751015726430609, 0.0075095210104670499, 0.0075076887836255579, 0.0075059659995657738, 0.0075043460654362756, 0.0075028227057054534, 0.0075013899226812212, 0.00750004196350962, 0.0074987732929065604, 0.0074975785709638348, 0.0074964526354503137, 0.0074953904881006252, 0.0074943872844476164, 0.0074934383268122082, 0.0074925390601152265, 0.0074916850702215609, 0.0074908720845683193, 0.0074900959748665534, 0.0074893527617014583, 0.0074886386208901446, 0.0074879498914901515, 0.0074872830853872623, 0.0074866348984298009, 0.0074860022231203376, 0.0074853821629273093, 0.0074847720483416811, 0.0074841694548819331, 0.007483572223349744, 0.0074829784827667488, 0.0074823866765896139, 0.0074817955930210813, 0.0074812044005276917, 0.0074806126900694462, 0.0074800205260807271, 0.0074794285089736, 0.0074788378529455713, 0.0074782504842857266, 0.0074776691673665652, 0.0074770976683570002, 0.0074765409708122364, 0.0074760055633399172, 0.007475499828535786, 0.0074750345759825275, 0.0074746237830256024, 0.0074742856398317264, 0.0074740440476960303, 0.0074739308054069488, 0.0074739888624836427, 0.0074742772664549671, 0.0074748788731211057, 0.0074759127024270761, 0.0074775543817767178, 0.0074800712449999904, 0.0074838852622580738, 0.0074896918278068228, 0.0074986983663278264, 0.007513141803297649, 0.0075375252749602193, 0.0075819758225797321, 0.0076731173308661436, 0.0078998859292879042, 0.0087170989322106051, 0.016955344846364302, 0.024235705182076388, 0.0093362637407374167, 0.0081646033892229866, 0.0078402789834495154, 0.0077045149502590806, 0.0076343400593351244, 0.0075931109413389982, 0.0075667306912182543, 0.0075488094191220505, 0.0075360971657501292, 0.0075267931719819551, 0.0075198312191961745, 0.0075145456283093812, 0.007510502329296561, 0.0075074077808458609, 0.0075050571988965371, 0.0075033037910213251, 0.0075020397665515447, 0.0075011842246406569, 0.0075006752050980818, 0.0075004643384612253, 0.0075005131643867406, 0.0075007905474787926, 0.0075012708311188274, 0.0075019324975779886, 0.0075027571818078193, 0.007503728936442888, 0.0075048336779901786, 0.0075060587655707651, 0.0075073926779309214, 0.0075088247642230909, 0.0075103450508250125, 0.0075119440912111944, 0.0075136128492607002, 0.0075153426088060919, 0.007517124903985848, 0.0075189514662515524, 0.0075208141848342458, 0.0075227050781858477, 0.007524616274445505, 0.0075265399993846207, 0.0075284685705913398, 0.0075303943968895821, 0.0075323099821665703, 0.0075342079329212743, 0.0075360809689510623, 0.0075379219366755821, 0.0075397238246589435, 0.007541479780939447, 0.0075431831318122739, 0.0075448274017394104, 0.0075464063340827028, 0.0075479139123731682, 0.0075493443818439318, 0.0075506922709660243, 0.0075519524127367768, 0.0075531199654813742, 0.0075541904329375518, 0.0075551596834055098, 0.0075560239677563311, 0.0075567799361057923, 0.0075574246529752226, 0.007557955610776889, 0.0075583707414799053, 0.0075586684263311103, 0.0075588475035265282, 0.0075589072737511191, 0.0075588674234282095, 0.0075587479860843585, 0.0075585493022264812, 0.0075582719381432888, 0.0075579166840792199, 0.0075574845516945821, 0.0075569767708280325, 0.0075563947855822695, 0.0075557402497578082, 0.0075550150216636379, 0.0075542211583375036, 0.0075533609092118086, 0.0075524367092642108, 0.0075514511716948734, 0.0075504070801746346, 0.0075493073807107545, 0.0075481551731779563, 0.0075469537025647749, 0.00754570634998544, 0.0075444166235087273, 0.0075430881488555259, 0.0075417246600168256, 0.0075403299898442336, 0.0075389080606641243, 0.0075374628749667015, 0.0075359985062204609, 0.007534519089861828, 0.0075330288145091379, 0.0075315319134497353, 0.0075300326564482489, 0.007528535341923966, 0.0075270442895453132, 0.0075255638332893541, 0.0075240983150157408, 0.0075226520786051817, 0.0075212294647146304, 0.0075198348062045809, 0.0075184724242968928, 0.007517146625526625, 0.0075158616995575009, 0.0075146219179377093, 0.0075134315338823629, 0.0075122947831798648, 0.0075112158863332021, 0.0075101990520636428, 0.0075092484823237778, 0.0075083683789907499, 0.0075075629524385956, 0.0075068364322223927, 0.0075061930801474819, 0.0075056372060451348, 0.0075051731866343039, 0.0075048054879184433, 0.0075045386916504347, 0.0075043775264994313, 0.0075043269046762891, 0.0075043919649223668, 0.0075045781229479847, 0.0075048911306283541, 0.0075053371455369028, 0.0075059228127320266, 0.0075066553611297061, 0.0075075427173129936, 0.0075085936402789506, 0.0075098178814409517, 0.0075112263752391117, 0.0075128314670290025, 0.0075146471866070408, 0.0075166895779077772, 0.0075189770982350438, 0.0075215311040853165, 0.0075243764454933134, 0.0075275421973004198, 0.0075310625644150961, 0.0075349780098516806, 0.0075393366703227441, 0.0075441961462005, 0.0075496257833727815, 0.0075557096078044308, 0.0075625501353819014, 0.0075702733689296791, 0.0075790354252790208, 0.0075890314303676161, 0.0076005076158107594, 0.0076137780060132575, 0.0076292478015353576, 0.0076474467162857222, 0.0076690774221417164, 0.0076950874589163751, 0.0077267785439901343, 0.0077659772437553192, 0.007815309679661684, 0.0078786593457160024, 0.0079619614166048791, 0.0080746471948292334, 0.0082324210446521624, 0.0084629672399545667, 0.0088186700718250952, 0.0094079555680657481, 0.010482751254726747, 0.012721673392928788, 0.018265947992497387, 0.032713578042354877, 0.038406100741549078, 0.021439807532867765, 0.013796284637957682, 0.010891002718874443, 0.0095767970170919821, 0.0088879545050993478, 0.0084862873382975396, 0.0082330975352796383, 0.0080638696357962728, 0.0079455262518728607, 0.0078597652434936535, 0.0077958247707046952, 0.0077470565161437731, 0.0077091831309844721, 0.0076793583870302939, 0.0076556345744087191, 0.0076366477517613067, 0.0076214249643775621, 0.0076092625175027424, 0.0075996471364950724, 0.0075922038671075989, 0.0075866611782186445, 0.0075828274966952885, 0.0075805756288211115, 0.0075798328880370231], [0.0076389172069997223, 0.0076388641560572908, 0.0076387051350205485, 0.0076384405388344448, 0.0076380710243214743, 0.0076375975080640191, 0.007637021163462006, 0.0076363434169873469, 0.0076355659436631914, 0.0076346906618016182, 0.0076337197270382982, 0.0076326555257084164, 0.0076315006676125948, 0.0076302579782258576, 0.0076289304904068834, 0.0076275214356686443, 0.0076260342350746805, 0.0076244724898283109, 0.0076228399716254044, 0.0076211406128433579, 0.0076193784966422087, 0.0076175578470557385, 0.0076156830191541217, 0.0076137584893618453, 0.0076117888460190131, 0.0076097787802784801, 0.0076077330774364212, 0.007605656608801757, 0.0076035543242181057, 0.0076014312453639241, 0.0075992924599714426, 0.007597143117123336, 0.007594988423811292, 0.0075928336429714194, 0.0075906840932517495, 0.0075885451508183764, 0.0075864222535735023, 0.0075843209082436264, 0.0075822467009064917, 0.0075802053116689559, 0.0075782025343940126, 0.0075762443026197272, 0.0075743367231343875, 0.0075724861190982267, 0.0075706990851705522, 0.0075689825578648265, 0.0075673439053889607, 0.0075657910426414655, 0.0075643325789829952, 0.0075629780091167383, 0.0075617379612300997, 0.0075606245219862079, 0.0075596516657864968, 0.0075588358271609256, 0.0075581966720759839, 0.00755775814941509, 0.0075575499428228617, 0.0075576095037337447, 0.0075579849427090482, 0.007558739212551251, 0.0075599562766770949, 0.0075617504003699871, 0.0075642804841693449, 0.0075677727811686206, 0.0075725580290493203, 0.0075791343363051716, 0.0075882781802332653, 0.0076012501199314618, 0.0076201990111495086, 0.0076490151489774158, 0.0076952997232775308, 0.0077754700248869697, 0.0079302375243355313, 0.0082834167931999988, 0.0093623858343991756, 0.015597671099992093, 0.059295505355795884, 0.01309112948111605, 0.0093555037065916717, 0.0084698883433926304, 0.0081283275372187602, 0.0079612922889192323, 0.007867530950262755, 0.0078101174531320849, 0.0077729291924473762, 0.0077479936184727139, 0.0077309912590418509, 0.0077194127829981127, 0.0077117184619350633, 0.0077069214022095836, 0.0077043665268459122, 0.0077036066941238669, 0.0077043299550840555, 0.00770631510176075, 0.0077094035348897506, 0.0077134808821402384, 0.0077184646110869315, 0.0077242954062195519, 0.0077309309342138846, 0.0077383411134795852, 0.00774650429124853, 0.0077554038989104341, 0.0077650252505105585, 0.0077753521966282529, 0.0077863633616808772, 0.007798027686913591, 0.0078102989816793015, 0.0078231091605274923, 0.0078363598253292106, 0.0078499118601475012, 0.0078635727750565251, 0.0078770817175468702, 0.0078900924501689156, 0.0079021552924619255, 0.0079127002054527208, 0.0079210250395478597, 0.0079262956046029925, 0.0079275675787608343, 0.0079238437629608853, 0.0079141822523111829, 0.0078978687235441783, 0.0078746547426626779, 0.0078450392169022894, 0.0078105312122817988, 0.007773789142040524, 0.0077385091490161408, 0.0077089697917157082, 0.0076892522688465324, 0.0076823180889902211, 0.0076848255363364867, 0.0076921294912933886, 0.0077036077447404502, 0.0077183252558489755, 0.0077351622839433448, 0.0077529525946628524, 0.007770606517944343, 0.0077872015537248391, 0.0078020335578635296, 0.0078146307679820455, 0.0078247389197292141, 0.0078322880179191728, 0.0078373507359556522, 0.0078401001743647059, 0.0078407719669970066, 0.0078396332495108533, 0.0078369591566522789, 0.0078330163476573612, 0.0078280524625555913, 0.0078222902194812222, 0.0078159249158618258, 0.0078091242722474778, 0.0078020297749918678, 0.0077947588855990582, 0.0077874076673096568, 0.0077800535257865084, 0.0077727578714709032, 0.0077655685911744545, 0.007758522271865494, 0.007751646156312836, 0.0077449598333372898, 0.0077384766789459439, 0.007732205071664432, 0.007726149408183885, 0.0077203109456022087, 0.0077146884951518439, 0.0077092789901038808, 0.0077040779479919178, 0.0076990798446992664, 0.0076942784154736292, 0.007689666895662626, 0.007685238211942844, 0.0076809851330512545, 0.0076769003875118104, 0.0076729767545601997, 0.0076692071333828941, 0.0076655845948762191, 0.0076621024193729848, 0.0076587541231556439, 0.0076555334760553219, 0.0076524345120079929, 0.0076494515340872976, 0.0076465791152449079, 0.0076438120957529844, 0.0076411455781501426, 0.0076385749203346145, 0.0076360957273199047, 0.0076337038420634089, 0.0076313953356936257, 0.0076291664973924351, 0.0076270138241330597, 0.0076249340104291418, 0.0076229239382138349, 0.0076209806669385099, 0.0076191014239569647, 0.0076172835952425504, 0.007615524716470071, 0.0076138224644830849, 0.0076121746491573895, 0.0076105792056644275, 0.0076090341871327257, 0.0076075377577010401, 0.0076060881859538899, 0.0076046838387275112, 0.0076033231752729935, 0.0076020047417618098, 0.0076007271661186811, 0.0075994891531660667, 0.0075982894800647287, 0.0075971269920347704, 0.0075960005983419978, 0.0075949092685347452, 0.0075938520289169061, 0.0075928279592432663, 0.0075918361896241109, 0.0075908758976264068, 0.0075899463055597253, 0.0075890466779354277, 0.007588176319088486, 0.0075873345709518963, 0.0075865208109739376, 0.0075857344501695642, 0.0075849749312972576, 0.0075842417271536518, 0.0075835343389783535, 0.0075828522949621365, 0.00758219514885187, 0.0075815624786463188, 0.007580953885376867, 0.0075803689919681661, 0.0075798074421734654, 0.0075792688995802316, 0.0075787530466817597, 0.0075782595840104801, 0.0075777882293296978, 0.0075773387168799186, 0.00757691079667669, 0.0075765042338570175, 0.0075761188080714793, 0.0075757543129195025, 0.0075754105554255028, 0.0075750873555535392, 0.0075747845457585601, 0.0075745019705723872, 0.0075742394862226038, 0.0075739969602829039, 0.007573774271353354, 0.0075735713087692778, 0.0075733879723376765, 0.0075732241720998933, 0.0075730798281198226, 0.0075729548702964814, 0.0075728492382005266, 0.0075727628809338088, 0.0075726957570114682, 0.0075726478342661354, 0.0075726190897738108, 0.0075726095098011415, 0.0075726190897738143, 0.0075726478342661389, 0.0075726957570114665, 0.0075727628809338105, 0.0075728492382005318, 0.0075729548702964866, 0.0075730798281198278, 0.0075732241720998942, 0.0075733879723376687, 0.0075735713087692804, 0.0075737742713533522, 0.0075739969602829135, 0.0075742394862226056, 0.0075745019705723846, 0.0075747845457585557, 0.0075750873555535374, 0.007575410555425508, 0.0075757543129195068, 0.0075761188080714741, 0.0075765042338570183, 0.0075769107966766952, 0.0075773387168799238, 0.0075777882293297013, 0.0075782595840104758, 0.0075787530466817589, 0.0075792688995802377, 0.0075798074421734619, 0.0075803689919681635, 0.0075809538853768748, 0.0075815624786463101, 0.0075821951488518734, 0.0075828522949621365, 0.007583534338978357, 0.0075842417271536466, 0.0075849749312972637, 0.0075857344501695694, 0.0075865208109739384, 0.007587334570951898, 0.007588176319088486, 0.0075890466779354251, 0.0075899463055597253, 0.0075908758976264102, 0.0075918361896241057, 0.0075928279592432637, 0.007593852028916913, 0.0075949092685347495, 0.0075960005983419961, 0.007597126992034773, 0.0075982894800647321, 0.0075994891531660615, 0.0076007271661186768, 0.0076020047417618107, 0.007603323175272997, 0.0076046838387275103, 0.0076060881859538881, 0.0076075377577010462, 0.0076090341871327249, 0.0076105792056644275, 0.0076121746491573921, 0.0076138224644830927, 0.0076155247164700719, 0.0076172835952425522, 0.0076191014239569647, 0.0076209806669385047, 0.0076229239382138341, 0.0076249340104291409, 0.0076270138241330623, 0.0076291664973924377, 0.0076313953356936283, 0.0076337038420634055, 0.0076360957273199064, 0.0076385749203346197, 0.0076411455781501426, 0.0076438120957529844, 0.0076465791152449001, 0.0076494515340872942, 0.0076524345120079955, 0.0076555334760553227, 0.0076587541231556439, 0.0076621024193729813, 0.0076655845948762173, 0.0076692071333828923, 0.0076729767545601988, 0.0076769003875118069, 0.0076809851330512545, 0.0076852382119428457, 0.0076896668956626252, 0.0076942784154736292, 0.0076990798446992673, 0.0077040779479919151, 0.0077092789901038799, 0.0077146884951518353, 0.0077203109456022104, 0.0077261494081838702, 0.007732205071664419, 0.0077384766789459231, 0.007744959833337263, 0.0077516461563128351, 0.0077585222718654714, 0.0077655685911744406, 0.0077727578714708902, 0.0077800535257865015, 0.0077874076673096343, 0.0077947588855990721, 0.0078020297749918574, 0.0078091242722474787, 0.0078159249158618466, 0.0078222902194812274, 0.0078280524625556208, 0.0078330163476573768, 0.0078369591566523292, 0.0078396332495108464, 0.0078407719669970049, 0.0078401001743647336, 0.0078373507359556071, 0.0078322880179191798, 0.0078247389197291569, 0.007814630767982108, 0.0078020335578635244, 0.0077872015537248339, 0.007770606517944297, 0.007752952594662868, 0.0077351622839433309, 0.0077183252558489625, 0.0077036077447404433, 0.0076921294912933869, 0.0076848255363364841, 0.0076823180889902254, 0.0076835764518574257, 0.0076872963098549765, 0.0076933162289371483, 0.007701380818971218, 0.0077111594876293349, 0.0077222695217476992, 0.0077343009860612556, 0.0077468409848112391, 0.0077594952170768434, 0.0077719053601379229, 0.0077837615038731742, 0.0077948095114063068, 0.0078048537088118118, 0.0078137556643798727, 0.0078214300002978094, 0.0078278382105542062, 0.0078329813782192035, 0.007836892536707293, 0.0078396292421225051, 0.0078412667469757863, 0.0078418920086372572, 0.0078415986386349678, 0.0078404828039687728, 0.0078386400268707634, 0.0078361627902279497, 0.0078331388365742369, 0.0078296500436264693, 0.007825771763998941, 0.0078215725271246761, 0.007817114014664223, 0.0078124512347962152, 0.0078076328344491713, 0.0078027015009988696, 0.0077976944158460754, 0.0077926437314889095, 0.0077875770512749812, 0.0077825178970920292, 0.0077774861550335399, 0.0077724984927489971, 0.0077675687449566579, 0.0077627082656309323, 0.007757926246833767, 0.0077532300051644364, 0.0077486252374644286, 0.0077441162478176289, 0.0077397061480999054, 0.0077353970344084923, 0.0077311901416836368, 0.0077270859787507227, 0.0077230844458871187, 0.0077191849368693274, 0.0077153864272956202, 0.0077116875508166554, 0.0077080866647462679, 0.0077045819063721963, 0.00770117124114293, 0.0076978525037742721, 0.0076946234331985207, 0.0076914817021689758, 0.0076884249422338891, 0.0076854507647061065, 0.0076825567781754651, 0.0076797406030421206, 0.007676999883487013, 0.0076743322972420104, 0.0076717355634744119, 0.0076692074490592784, 0.0076667457734762336, 0.0076643484125360111, 0.0076620133011139381, 0.007659738435043674, 0.007657521872303453, 0.0076553617336086663, 0.0076532562025090553, 0.0076512035250747732, 0.0076492020092438938, 0.007647250023893261, 0.0076453459976860991, 0.0076434884177416316, 0.0076416758281655497, 0.0076399068284742321, 0.0076381800719406553, 0.0076364942638857914, 0.0076348481599351906, 0.007633240564257765, 0.00763167032780049, 0.0076301363465309108, 0.007628637559696767, 0.0076271729481108431, 0.0076257415324671816, 0.007624342371693878, 0.0076229745613463689, 0.0076216372320443001, 0.0076203295479542847, 0.0076190507053200381, 0.0076177999310411545, 0.0076165764813008411, 0.00761537964024295, 0.0076142087186981799, 0.007613063052958894, 0.0076119420036019928, 0.0076108449543590417, 0.0076097713110326003, 0.0076087205004577163, 0.0076076919695074133, 0.0076066851841409639, 0.0076056996284934895, 0.0076047348040058377, 0.0076037902285931852, 0.007602865435851122, 0.0076019599742978006, 0.0076010734066509428, 0.0076002053091382632, 0.0075993552708400964, 0.0075985228930629117, 0.0075977077887425413, 0.0075969095818758381, 0.0075961279069796965, 0.0075953624085761734, 0.0075946127407027341, 0.0075938785664464714, 0.0075931595575013536, 0.0075924553937474232, 0.0075917657628510838, 0.007591090359885532, 0.0075904288869703832, 0.007589781052929811, 0.0075891465729682108, 0.0075873204989602211, 0.007585604910030545, 0.0075839929845545294, 0.0075824782531985465, 0.0075810545535969637, 0.0075797159925388782, 0.0075784569147248106, 0.0075772718772786785, 0.0075761556293103436, 0.0075751030959195758, 0.007574109366115642, 0.0075731696841995636, 0.0075722794442193968, 0.0075714341871648324, 0.0075706296006166976, 0.0075698615206115268, 0.0075691259355219519, 0.007568418991792317, 0.0075677370014065066, 0.0075670764510034974, 0.0075664340125972196, 0.0075658065559034843, 0.0075651911623302219, 0.007564585140752215, 0.007563986045271592, 0.0075633916952671711, 0.0075628001981666894, 0.0075622099755469265, 0.0075616197933924163, 0.0075610287976442701, 0.0075604365565755532, 0.0075598431120794925, 0.0075592490427108276, 0.0075586555423649716, 0.0075580645199408627, 0.007557478727401654, 0.0075569019266091145, 0.0075563391096039722, 0.0075557967933229707, 0.0075552834191744515, 0.0075548099021998947, 0.0075543903966282912, 0.0075540433793641814, 0.007553793208737127, 0.0075536724075181867, 0.0075537250737288735, 0.0075540120906434968, 0.0075546192866475358, 0.0075556705841050998, 0.0075573498914969913, 0.0075599389611896673, 0.0075638858363895334, 0.0075699353400183935, 0.0075793943422334028, 0.0075947156493329391, 0.0076209201944057387, 0.0076695576051044479, 0.0077720040084629559, 0.0080387930020578112, 0.0090987053225548963, 0.024812163385615701, 0.016993779590941314, 0.0090603307144720233, 0.008162164527744032, 0.0078888920554145356, 0.0077693013793729343, 0.0077058509423555584, 0.0076679242059099042, 0.0076433588337650573, 0.0076265190233275838, 0.0076144916047759205, 0.007605642228915065, 0.0075989935850346016, 0.0075939305487000225, 0.0075900492960675548, 0.0075870751638054713, 0.0075848155792824423, 0.0075831318946387311, 0.007581921897147537, 0.0075811085955897282, 0.0075806328265768108, 0.0075804482579932215, 0.0075805179379029967, 0.0075808118641647274, 0.0075813052429495797, 0.0075819772214294305, 0.0075828099527202441, 0.0075837878974856984, 0.007584897296679197, 0.0075861257697936169, 0.007587462006372587, 0.0075888955276853217, 0.0075904165018113043, 0.0075920155998403594, 0.0075936838840665686, 0.0075954127213385975, 0.0075971937163902582, 0.0075990186611955834, 0.0076008794972966887, 0.0076027682887283739, 0.0076046772036713261, 0.0076065985033502244, 0.0076085245369857477, 0.0076104477418329581, 0.0076123606475091967, 0.0076142558839468666, 0.0076161261924065932, 0.0076179644390642542, 0.0076197636307446196, 0.0076215169324201403, 0.0076232176861280448, 0.0076248594309861247, 0.0076264359240083212, 0.0076279411614373965, 0.0076293694003256151, 0.0076307151801056012, 0.0076319733439035474, 0.007633139059357438, 0.0076342078387119806, 0.0076351755579738374, 0.0076360384749216579, 0.007636793245778881, 0.0076374369403718282, 0.0076379670556113322, 0.0076383815271544872, 0.0076386787391214657, 0.0076388575317634742, 0.0076389172069997223, 0.0076388774200097601, 0.007638758172479037, 0.007638559804358222, 0.0076382828810118951, 0.0076379281913969083, 0.0076374967455286298, 0.0076369897712512342, 0.0076364087103327543, 0.0076357552139097859, 0.0076350311373104586, 0.0076342385342883842, 0.0076333796507033792, 0.0076324569176879605, 0.0076314729443414013, 0.0076304305099953798, 0.007629332556097811, 0.0076281821777622024, 0.0076269826150325015, 0.0076257372439132252, 0.0076244495672161848, 0.0076231232052751041, 0.0076217618865796061, 0.0076203694383802376, 0.0076189497773152363, 0.0076175069001098213, 0.0076160448743980346, 0.0076145678297162333, 0.0076130799487168013, 0.0076115854586500586, 0.0076100886231615632, 0.0076085937344517775, 0.007607105105844887, 0.0076056270648134864, 0.0076041639465069116, 0.0076027200878316572, 0.0076012998221339119, 0.0075999074745372753, 0.0075985473579911747, 0.0075972237700902773, 0.0075959409907304454, 0.0075947032806735022, 0.007593514881101467, 0.0075923800142511724, 0.0075913028852324623, 0.0075902876851481494, 0.0075893385956516879, 0.0075884597951000428, 0.0075876554664846552, 0.0075869298073539676, 0.0075862870419772244, 0.0075857314360427246, 0.0075852673142354516, 0.0075848990811009489, 0.0075846312456767937, 0.0075844684504619495, 0.0075844155054023907, 0.0075844774277009416, 0.0075846594884172724, 0.0075849672670160176, 0.0075854067152553431, 0.0075859842320961952, 0.0075867067516674361, 0.0075875818467606888, 0.0075886178508755234, 0.007589824002518398, 0.0075912106163177114, 0.0075927892866027172, 0.00759457313047468, 0.0075965770791645891, 0.0075988182287464569, 0.0076013162642236658, 0.0076040939748567831, 0.0076071778836671339, 0.0076105990207690584, 0.0076143938791684226, 0.0076186056037874424, 0.0076232854809864352, 0.0076284948185663722, 0.0076343073378158724, 0.0076408122435770408, 0.0076481182015216117, 0.0076563585430004669, 0.0076656981511723649, 0.0076763426801184555, 0.0076885510575174709, 0.0077026526806863076, 0.0077190714352599688, 0.0077383598171769756, 0.0077612483247986828, 0.0077887184585652587, 0.007822113150033675, 0.007863308237278599, 0.0079149867371771029, 0.007981092626959202, 0.0080676114482051316, 0.0081839754047979794, 0.0083457312142527652, 0.008579938166962094, 0.0089369616080877349, 0.0095187652345649406, 0.010554961850138022, 0.012635786675528218, 0.017495407149854019, 0.029459592300696308, 0.037851074268059483, 0.023240810014335974, 0.014747213708731166, 0.011399726952606763, 0.009890226401001059, 0.0091059074667206065, 0.008652494453260275, 0.0083688520434230494, 0.0081805237733934052, 0.0080495978328192705, 0.0079552317128686548, 0.0078852413771524198, 0.0078321400779939286, 0.0077911350226381919, 0.0077590523829939853, 0.0077337310180075371, 0.0077136658233859729, 0.0076977902948000363, 0.0076853399339542883, 0.0076757643459229707, 0.0076686696888576943, 0.007663780714554461, 0.0076609159587872561, 0.0076599722062975746], [0.0077108866603306098, 0.0077108337426260009, 0.0077106751208786701, 0.0077104111887626725, 0.0077100426009864519, 0.007709570271181381, 0.0077089953689680243, 0.0077083193162216243, 0.0077075437825647845, 0.0077066706801209219, 0.0077057021575669907, 0.0077046405935297007, 0.007703488589373874, 0.0077022489614359266, 0.0077009247327595636, 0.0076995191243947542, 0.0076980355463239728, 0.0076964775880829341, 0.0076948490091461761, 0.0076931537291499274, 0.0076913958180279077, 0.0076895794861374942, 0.0076877090744574767, 0.0076857890449405263, 0.0076838239711079391, 0.0076818185289781998, 0.0076797774884261498, 0.0076777057050768094, 0.007675608112846153, 0.0076734897172525077, 0.0076713555896367651, 0.007669210862447335, 0.0076670607257699995, 0.0076649104253126302, 0.0076627652620934661, 0.0076606305941310949, 0.0076585118404983721, 0.007656414488184095, 0.0076543441023121418, 0.0076523063404050099, 0.0076503069715566328, 0.0076483519016123025, 0.0076464472057596738, 0.0076445991703390738, 0.0076428143462198847, 0.007641099616810954, 0.0076394622847478057, 0.0076379101826266147, 0.0076364518149795915, 0.0076350965412182682, 0.0076338548128213482, 0.0076327384830773256, 0.0076317612149138219, 0.0076309390228414811, 0.0076302910005053648, 0.0076298403084688483, 0.0076296155320187201, 0.0076296525731848691, 0.0076299973269793719, 0.0076307095300964618, 0.0076318683982475408, 0.0076335810539434291, 0.0076359954179866206, 0.0076393204452386582, 0.0076438588362981097, 0.0076500617311311345, 0.0076586238051584224, 0.0076706563874185231, 0.0076880203544515092, 0.007714010250939215, 0.0077548811047806875, 0.007823634737882142, 0.0079508204350613818, 0.0082220357926266162, 0.0089537874075202167, 0.012099964074937254, 0.05200902249782513, 0.018392699475325441, 0.010241891274829093, 0.0088150613894644562, 0.0083298148463300751, 0.0081078584662380229, 0.0079882059658248142, 0.0079168194312840331, 0.0078713554325695306, 0.0078411842654961227, 0.0078207111566850635, 0.0078067584364274632, 0.007797411488270233, 0.0077914617143781334, 0.0077881175329361282, 0.0077868453345989411, 0.0077872775596110246, 0.0077891573195153939, 0.0077923038235908973, 0.007796590105806577, 0.0078019282576653731, 0.0078082593566802415, 0.0078155463799823074, 0.0078237690189565459, 0.0078329196732369322, 0.007843000111053499, 0.007854018397113794, 0.0078659857411607532, 0.0078789129273275724, 0.0078928059552478662, 0.0079076604629026836, 0.0079234544111846106, 0.0079401383956844533, 0.0079576228233669329, 0.0079757610762304417, 0.0079943277342362767, 0.0080129910486380958, 0.0080312793290884914, 0.0080485420432785653, 0.0080639087048448004, 0.008076252699246788, 0.0080841737833081857, 0.00808602244188702, 0.0080800005629374019, 0.0080643817279497775, 0.0080378909026177017, 0.0080002509986118377, 0.0079528251944882833, 0.0078991590164169019, 0.0078451022853738804, 0.0077981778697901599, 0.0077660828835102065, 0.0077546558976159721, 0.0077587819189331615, 0.0077707162007268479, 0.0077892099840183747, 0.0078124332566103568, 0.0078382774233941108, 0.0078646609505567313, 0.0078897744885393535, 0.0079122309930510348, 0.0079311177116809829, 0.0079459695867021025, 0.007956693548137701, 0.0079634722429132582, 0.0079666686581980253, 0.0079667443709708647, 0.0079641966728875007, 0.0079595147127333177, 0.0079531520178934591, 0.0079455117146612752, 0.0079369407915736764, 0.0079277302976262735, 0.0079181190811702367, 0.0079082993589060079, 0.0078984229720078809, 0.0078886076175869423, 0.0078789426503078647, 0.0078694942550512816, 0.00786030992252491, 0.0078514222377956654, 0.0078428520341972847, 0.0078346109846872368, 0.0078267037083726374, 0.0078191294675604619, 0.0078118835241647207, 0.0078049582160057453, 0.0077983438048851196, 0.0077920291400870416, 0.0077860021735316962, 0.0077802503563338243, 0.0077747609410055846, 0.0077695212089265303, 0.0077645186388835899, 0.0077597410293542947, 0.0077551765846593443, 0.0077508139730501652, 0.007746642363136904, 0.0077426514437298173, 0.0077388314311003879, 0.0077351730668167975, 0.0077316676086298594, 0.0077283068163455136, 0.0077250829341916584, 0.0077219886708471425, 0.0077190171780321783, 0.007716162028346938, 0.0077134171928778771, 0.0077107770189599146, 0.0077082362083792976, 0.007705789796221614, 0.0077034331305067521, 0.0077011618527040217, 0.0076989718791834636, 0.0076968593836309928, 0.0076948207804334329, 0.0076928527090236818, 0.0076909520191643177, 0.0076891157571400805, 0.007687341152823257, 0.0076856256075731183, 0.0076839666829276341, 0.0076823620900453408, 0.0076808096798546832, 0.0076793074338690637, 0.00767785345562675, 0.007676445962716081, 0.0076750832793483752, 0.007673763829442258, 0.0076724861301854571, 0.0076712487860415889, 0.0076700504831716445, 0.0076688899842415415, 0.0076677661235890291, 0.0076666778027248859, 0.0076656239861450769, 0.0076646036974319974, 0.007663616015624629, 0.0076626600718385758, 0.0076617350461185832, 0.0076608401645070455, 0.0076599746963134374, 0.0076591379515706668, 0.0076583292786651189, 0.0076575480621284839, 0.0076567937205799502, 0.0076560657048085293, 0.0076553634959857127, 0.007654686603999648, 0.0076540345659024244, 0.0076534069444629173, 0.0076528033268179595, 0.0076522233232153543, 0.0076516665658425513, 0.0076511327077353813, 0.0076506214217616862, 0.0076501323996747634, 0.00764966535123251, 0.0076492200033778232, 0.0076487960994765505, 0.0076483933986094864, 0.0076480116749150836, 0.0076476507169798702, 0.0076473103272738817, 0.0076469903216284255, 0.0076466905287538873, 0.0076464107897954783, 0.0076461509579248193, 0.0076459108979656451, 0.0076456904860519696, 0.0076454896093171056, 0.0076453081656124022, 0.0076451460632542025, 0.0076450032207981819, 0.0076448795668398418, 0.0076447750398405219, 0.0076446895879780903, 0.0076446231690216046, 0.0076445757502295198, 0.0076445473082709789, 0.0076445378291698125, 0.0076445473082709823, 0.0076445757502295207, 0.0076446231690216011, 0.0076446895879780938, 0.0076447750398405279, 0.0076448795668398462, 0.0076450032207981905, 0.0076451460632542042, 0.0076453081656123979, 0.0076454896093171064, 0.0076456904860519679, 0.0076459108979656555, 0.0076461509579248219, 0.0076464107897954775, 0.0076466905287538821, 0.007646990321628422, 0.007647310327273886, 0.0076476507169798737, 0.0076480116749150775, 0.0076483933986094864, 0.0076487960994765574, 0.0076492200033778258, 0.0076496653512325126, 0.0076501323996747564, 0.0076506214217616844, 0.0076511327077353856, 0.0076516665658425496, 0.0076522233232153508, 0.007652803326817963, 0.0076534069444629104, 0.0076540345659024253, 0.0076546866039996471, 0.0076553634959857135, 0.0076560657048085259, 0.0076567937205799571, 0.0076575480621284874, 0.0076583292786651189, 0.0076591379515706702, 0.0076599746963134383, 0.0076608401645070446, 0.0076617350461185832, 0.0076626600718385802, 0.0076636160156246238, 0.0076646036974319983, 0.0076656239861450813, 0.0076666778027248894, 0.0076677661235890282, 0.0076688899842415415, 0.0076700504831716454, 0.0076712487860415828, 0.0076724861301854545, 0.0076737638294422589, 0.0076750832793483761, 0.0076764459627160818, 0.0076778534556267508, 0.0076793074338690724, 0.0076808096798546789, 0.0076823620900453391, 0.0076839666829276402, 0.0076856256075731209, 0.0076873411528232613, 0.0076891157571400796, 0.0076909520191643186, 0.0076928527090236749, 0.0076948207804334329, 0.0076968593836309919, 0.0076989718791834662, 0.0077011618527040243, 0.0077034331305067556, 0.0077057897962216088, 0.0077082362083792976, 0.0077107770189599198, 0.0077134171928778779, 0.0077161620283469354, 0.007719017178032174, 0.0077219886708471399, 0.0077250829341916584, 0.0077283068163455136, 0.0077316676086298568, 0.0077351730668167966, 0.0077388314311003844, 0.0077426514437298147, 0.0077466423631369031, 0.00775081397305016, 0.0077551765846593408, 0.0077597410293542991, 0.0077645186388835882, 0.0077695212089265338, 0.0077747609410055863, 0.0077802503563338191, 0.0077860021735316953, 0.0077920291400870312, 0.0077983438048851196, 0.0078049582160057262, 0.0078118835241647059, 0.0078191294675604376, 0.0078267037083726079, 0.0078346109846872351, 0.0078428520341972535, 0.0078514222377956515, 0.0078603099225248944, 0.0078694942550512764, 0.0078789426503078352, 0.0078886076175869579, 0.0078984229720078635, 0.0079082993589060079, 0.007918119081170261, 0.0079277302976262821, 0.0079369407915737215, 0.007945511714661296, 0.0079531520178935302, 0.0079595147127333107, 0.0079641966728875024, 0.0079667443709709081, 0.0079666686581979576, 0.0079634722429132686, 0.0079566935481376038, 0.0079459695867021996, 0.0079311177116809847, 0.0079122309930510139, 0.0078897744885392685, 0.0078646609505567538, 0.0078382774233940813, 0.0078124332566103395, 0.0077892099840183669, 0.0077707162007268418, 0.0077587819189331581, 0.0077546558976159799, 0.0077567283744183054, 0.0077628331916017972, 0.0077726432526745064, 0.0077856475811326539, 0.0078011972597100653, 0.0078185602441083, 0.0078369779453459423, 0.0078557171128252872, 0.0078741121607063102, 0.0078915951836972167, 0.0079077130119115952, 0.0079221323778226813, 0.007934635407486415, 0.007945108173192595, 0.0079535250528674807, 0.0079599312943750347, 0.0079644256496333946, 0.0079671443645907038, 0.0079682472821612921, 0.0079679063872972241, 0.007966296812296764, 0.0079635901189480419, 0.0079599495628787324, 0.0079555270014064761, 0.0079504611073979749, 0.0079448765801027905, 0.0079388840860678753, 0.007932580709796095, 0.0079260507389618644, 0.0079193666495319896, 0.0079125901906605192, 0.0079057734974531078, 0.0078989601820353365, 0.0078921863705329453, 0.0078854816664151433, 0.0078788700300061638, 0.0078723705705678396, 0.0078659982518543437, 0.0078597645149559199, 0.0078536778240107137, 0.00784774414129631, 0.0078419673385716013, 0.0078363495515080383, 0.0078308914837694303, 0.0078255926668684035, 0.0078204516814175309, 0.0078154663448502058, 0.0078106338701463803, 0.0078059509995776766, 0.0078014141170013171, 0.0077970193417871217, 0.0077927626070592917, 0.0077886397245758247, 0.0077846464382500102, 0.0077807784680390592, 0.0077770315456806068, 0.0077734014435449049, 0.0077698839976870797, 0.0077664751260241643, 0.0077631708424248831, 0.0077599672673829573, 0.0077568606358429781, 0.0077538473026624206, 0.0077509237461188775, 0.0077480865698089998, 0.0077453325032316696, 0.0077426584013023112, 0.0077400612430060991, 0.0077375381293649827, 0.0077350862808649046, 0.007732703034466137, 0.0077303858402990363, 0.0077281322581305156, 0.0077259399536719455, 0.0077238066947869109, 0.0077217303476468536, 0.0077197088728737104, 0.0077177403217016027, 0.0077158228321829708, 0.0077139546254596895, 0.0077121340021150493, 0.0077103593386189809, 0.0077086290838758011, 0.0077069417558810627, 0.0077052959384922917, 0.0077036902783162459, 0.0077021234817143246, 0.0077005943119261488, 0.0076991015863108227, 0.0076976441737042186, 0.0076962209918903816, 0.0076948310051843426, 0.007693473222123548, 0.0076921466932647299, 0.0076908505090826735, 0.0076895837979676597, 0.0076883457243176884, 0.0076871354867220467, 0.0076859523162325968, 0.0076847954747190691, 0.0076836642533048933, 0.0076825579708801146, 0.0076814759726878722, 0.007680417628981283, 0.0076793823337473824, 0.0076783695034951987, 0.0076773785761046756, 0.0076764090097339345, 0.0076754602817818117, 0.0076745318879031799, 0.0076736233410743685, 0.0076727341707064833, 0.0076718639218040134, 0.0076710121541667536, 0.0076701784416327362, 0.0076693623713603269, 0.0076685635431473671, 0.0076677815687857549, 0.0076670160714495074, 0.0076662666851147832, 0.0076655330540102585, 0.0076648148320963283, 0.0076641116825717703, 0.0076634232774064172, 0.0076627492968987252, 0.0076620894292567694, 0.007661443370201795, 0.0076608108225929856, 0.0076589913767854088, 0.007657283451304845, 0.0076556799889993931, 0.0076541743221177358, 0.0076527601206871614, 0.0076514313495327467, 0.0076501822327804669, 0.0076490072248559422, 0.0076479009871349138, 0.0076468583695246516, 0.0076458743963604518, 0.0076449442560915402, 0.0076440632943080124, 0.0076432270097272648, 0.0076424310528167699, 0.0076416712267817098, 0.0076409434906924961, 0.0076402439645705438, 0.0076395689362922592, 0.0076389148702128967, 0.0076382784174558946, 0.0076376564278618645, 0.0076370459636472465, 0.0076364443148896092, 0.0076358490170393058, 0.0076352578707614598, 0.0076346689645466074, 0.0076340807007035253, 0.0076334918255792864, 0.0076329014651603496, 0.0076323091676247998, 0.0076317149549821215, 0.0076311193867147683, 0.0076305236394154626, 0.0076299296079280887, 0.0076293400356476455, 0.0076287586847179588, 0.0076281905613496534, 0.0076276422180936842, 0.007627122164804768, 0.0076266414350922599, 0.007626214378383251, 0.0076258597845543811, 0.0076256025074804366, 0.0076254758518738367, 0.0076255251537984646, 0.0076258132745570103, 0.0076264292483255213, 0.0076275022955751472, 0.0076292253041179078, 0.0076318957339959574, 0.0076359902107541316, 0.0076423081881211927, 0.0076522676278914428, 0.0076685659227661053, 0.0076968219484895364, 0.0077502728738135197, 0.0078661653370603966, 0.0081836080338067076, 0.0095981632917927807, 0.045473631169955321, 0.013622219283670668, 0.0088704511061890121, 0.0081661029526908444, 0.0079336148232544389, 0.007827697901799012, 0.0077701261677542224, 0.0077351516159323078, 0.0077122349352565988, 0.0076963895938847041, 0.0076849979717866189, 0.0076765739091384779, 0.0076702201997242703, 0.0076653677070747678, 0.0076616403438124168, 0.0076587808779029149, 0.0076566080802348635, 0.0076549909089596753, 0.0076538323854035521, 0.0076530592030010659, 0.0076526148449652257, 0.0076524549145658444, 0.0076525438981572338, 0.0076528528781996848, 0.0076533578897477654, 0.0076540387212795484, 0.007654878027812285, 0.0076558606670708452, 0.0076569731973699443, 0.0076582034943782629, 0.0076595404564213463, 0.0076609737765384036, 0.0076624937654580271, 0.0076640912138491888, 0.0076657572851926417, 0.0076674834327735463, 0.0076692613358669316, 0.0076710828513435201, 0.0076729399777810308, 0.0076748248298078928, 0.0076767296208894616, 0.0076786466531330059, 0.0076805683129665091, 0.0076824870717597865, 0.0076843954906190871, 0.0076862862287127081, 0.0076881520545807377, 0.0076899858599564696, 0.0076917806756835322, 0.0076935296893565538, 0.007695226264345865, 0.0076968639598930053, 0.0076984365519830612, 0.0076999380547155436, 0.0077013627419081961, 0.0077027051686790176, 0.007703960192761203, 0.0077051229953158558, 0.0077061891010160814, 0.007707154397187662, 0.0077080151518021684, 0.0077087680301317464, 0.0077094101098890604, 0.0077099388946915304, 0.007710352325707194, 0.0077106487913577298, 0.0077108271349751699, 0.0077108866603306098, 0.0077108469732716303, 0.007710728025247306, 0.0077105301553498495, 0.0077102539275171692, 0.0077099001287173046, 0.007709469766423116, 0.0077089640653933257, 0.0077083844637805569, 0.0077077326085911039, 0.0077070103505250016, 0.0077062197382289227, 0.0077053630119975373, 0.0077044425969622025, 0.0077034610958085087, 0.0077024212810666015, 0.0077013260870205059, 0.0077001786012836993, 0.007698982056090483, 0.0076977398193527466, 0.0076964553855330582, 0.0076951323663850876, 0.0076937744816124136, 0.0076923855494969631, 0.0076909694775474085, 0.0076895302532177107, 0.0076880719347453517, 0.0076865986421577361, 0.0076851145484946141, 0.0076836238712937625, 0.0076821308643862515, 0.007680639810047297, 0.0076791550115483248, 0.0076776807861557075, 0.0076762214586224972, 0.0076747813552197792, 0.0076733647983558591, 0.0076719761018338517, 0.0076706195668006429, 0.0076692994784442487, 0.0076680201035014637, 0.0076667856886435768, 0.0076656004598157895, 0.0076644686226148909, 0.0076633943638012196, 0.007662381854054298, 0.0076614352520977215, 0.0076605587103382314, 0.0076597563821869923, 0.0076590324312583785, 0.007658391042674329, 0.0076578364367409493, 0.0076573728853103927, 0.0076570047311958914, 0.0076567364110736967, 0.0076565724823840029, 0.0076565176548376128, 0.0076565768272481328, 0.0076567551305464082, 0.0076570579779997967, 0.0076574911238597053, 0.0076580607319066719, 0.0076587734556628588, 0.0076596365324116721, 0.0076606578936214316, 0.0076618462949376853, 0.007663211469617244, 0.0076647643101659581, 0.007666517084063882, 0.0076684836908847299, 0.0076706799699340078, 0.0076731240698651327, 0.0076758368947541528, 0.0076788426450490801, 0.0076821694769756135, 0.0076858503108142252, 0.007689923827577546, 0.0076944357058799122, 0.0076994401674440474, 0.0077050019225277768, 0.0077111986382036885, 0.0077181240967769934, 0.007725892274526823, 0.0077346426613046021, 0.0077445472730949955, 0.0077558200041035232, 0.0077687292569750517, 0.0077836152360152601, 0.0078009139832371684, 0.0078211913418396693, 0.0078451918282727035, 0.0078739103893401604, 0.0079087001546811163, 0.0079514383693285035, 0.0080047892926134526, 0.0080726344244409186, 0.0081608031758035361, 0.0082783682645899935, 0.0084400605982355246, 0.0086710463188254452, 0.0090170697675164054, 0.0095678985667948663, 0.010517268711304449, 0.012334217491192316, 0.016289026924323685, 0.025484192132394869, 0.036005365078348492, 0.025983884484881089, 0.016304865423009195, 0.012187237811868246, 0.010339435969060213, 0.0093946215716225884, 0.0088568597213551266, 0.0085249315433143791, 0.0083070457267140005, 0.008157063224976684, 0.0080499142394889374, 0.0079710954660702545, 0.0079117774848142166, 0.0078663555760586923, 0.0078311477554583158, 0.0078036667827880738, 0.0077821953658944324, 0.0077655292487442311, 0.0077528172264645914, 0.0077434593172729937, 0.007737041177121276, 0.0077332920567513624, 0.0077320588632021695], [0.0077754857486252342, 0.007775433006252463, 0.007775274909978246, 0.0077750118519110088, 0.0077746444841550666, 0.0077741737167070172, 0.0077736007145329722, 0.0077729268938480549, 0.0077721539176260858, 0.0077712836903729944, 0.0077703183522023446, 0.0077692602722570676, 0.0077681120415260367, 0.0077668764651081992, 0.0077655565539813563, 0.0077641555163363279, 0.0077626767485404558, 0.0077611238257973133, 0.0077595004925728184, 0.007757810652859843, 0.0077560583603566262, 0.0077542478086360641, 0.0077523833213865925, 0.0077504693428072187, 0.007748510428243616, 0.0077465112351560242, 0.007744476514514668, 0.0077424111027256035, 0.007740319914197733, 0.007738207934672706, 0.007736080215453604, 0.0077339418686852204, 0.0077317980638623171, 0.0077296540257708159, 0.0077275150341043815, 0.007725386425046275, 0.0077232735951681016, 0.0077211820080753685, 0.0077191172043312682, 0.007717084815321509, 0.007715090581892986, 0.0077131403788212689, 0.0077112402464532435, 0.0077093964312550198, 0.007707615437505427, 0.007705904093056784, 0.0077042696330030976, 0.007702719806342663, 0.0077012630124309147, 0.0076999084763822914, 0.0076986664758815927, 0.0076975486365278827, 0.0076965683194960841, 0.0076957411349397233, 0.0076950856286906637, 0.0076946242108383153, 0.0076943844265494436, 0.0076944007183473639, 0.0076947169055995041, 0.0076953897293098716, 0.007696494010350996, 0.0076981303045505272, 0.0077004365157205797, 0.0077036059541961983, 0.0077079162168701724, 0.0077137768785224894, 0.0077218112192719429, 0.0077330024752518675, 0.0077489693310118027, 0.0077725179649230291, 0.0078088357078738169, 0.0078683323690852281, 0.007974309279117589, 0.0081875548604235671, 0.008708066122122899, 0.010516989936607895, 0.024901607933702094, 0.033735596299906592, 0.011805844537483609, 0.0092951030746287813, 0.0085737969026152515, 0.0082703496057019831, 0.0081145652177322374, 0.0080244526848963094, 0.0079682077605626664, 0.0079313550650998016, 0.0079065199986072393, 0.007889617674492623, 0.0078782355719974936, 0.0078708757687109727, 0.0078665711223131797, 0.0078646782180509661, 0.0078647597253174613, 0.007866514599624487, 0.0078697351389368474, 0.0078742797412756221, 0.0078800551709084527, 0.0078870047570708847, 0.0078951003830006038, 0.0079043369330092754, 0.0079147283318538684, 0.0079263045793177035, 0.007939109330634516, 0.0079531976406418646, 0.0079686334960168189, 0.0079854867124668338, 0.008003828670183788, 0.0080237261920304524, 0.0080452326199598675, 0.0080683747977516214, 0.008093134205887741, 0.0081194199155976317, 0.0081470303749009796, 0.0081756004513894396, 0.0082045299865148007, 0.0082328911213600114, 0.008259315301774945, 0.0082818697216806205, 0.0082979508787331679, 0.0083042542881780687, 0.0082969255418794859, 0.0082720476469777694, 0.0082266327502059488, 0.0081601799315058239, 0.008076534636540518, 0.0079852446704658693, 0.0079011628950342722, 0.0078413308745016678, 0.0078196001414757126, 0.0078274472572540874, 0.0078498883131994171, 0.0078838851534395547, 0.0079251544186604, 0.0079690513683209774, 0.0080113755781124167, 0.0080489086867380401, 0.0080796248254083863, 0.0081026266825484118, 0.0081179157018476233, 0.0081261048243857475, 0.0081281504613076837, 0.0081251422595228408, 0.0081181596285177481, 0.0081081870297341676, 0.008096073491906431, 0.0080825216446454295, 0.0080680942747984284, 0.0080532298128435636, 0.0080382611805499826, 0.0080234347223361174, 0.0080089275089969547, 0.0079948622889355978, 0.0079813199356907737, 0.0079683495429993291, 0.0079559764544111997, 0.0079442085544429806, 0.0079330411375019751, 0.0079224606365087321, 0.0079124474507550387, 0.0079029780702581966, 0.0078940266556056758, 0.0078855661994899212, 0.0078775693689715296, 0.0078700091055339122, 0.0078628590424920652, 0.0078560937855461019, 0.0078496890915252804, 0.0078436219720359017, 0.0078378707423007853, 0.0078324150305380882, 0.0078272357594441223, 0.0078223151084532913, 0.0078176364632447527, 0.0078131843572891106, 0.0078089444089566992, 0.0078049032567465305, 0.0078010484944684849, 0.007797368607665495, 0.0077938529121533168, 0.0077904914952513478, 0.0077872751600527972, 0.0077841953729177417, 0.0077812442142531539, 0.007778414332559061, 0.0077756989016607384, 0.0077730915810069355, 0.0077705864788885897, 0.0077681781184175194, 0.0077658614060973612, 0.0077636316028172683, 0.0077614842971014224, 0.0077594153804521719, 0.0077574210246316262, 0.0077554976607342912, 0.0077536419599123123, 0.0077518508156230823, 0.0077501213272785892, 0.0077484507851838542, 0.007746836656660692, 0.0077452765732605768, 0.0077437683189782612, 0.0077423098193846835, 0.0077408991316041936, 0.0077395344350676479, 0.0077382140229780103, 0.0077369362944309881, 0.0077356997471374348, 0.007734502970699198, 0.0077333446403937637, 0.0077322235114271141, 0.007731138413617362, 0.0077300882464750621, 0.0077290719746487702, 0.0077280886237072587, 0.0077271372762319742, 0.0077262170681957161, 0.0077253271856052895, 0.0077244668613879021, 0.0077236353725027695, 0.0077228320372606145, 0.0077220562128356048, 0.0077213072929551091, 0.0077205847057541929, 0.0077198879117825426, 0.0077192164021527418, 0.007718569696819476, 0.0077179473429803847, 0.0077173489135895822, 0.0077167740059761814, 0.0077162222405600658, 0.0077156932596583868, 0.0077151867263765437, 0.0077147023235775488, 0.0077142397529249918, 0.0077137987339942959, 0.0077133790034479869, 0.0077129803142708033, 0.0077126024350608535, 0.0077122451493732772, 0.0077119082551133098, 0.0077115915639756755, 0.0077112949009277209, 0.0077110181037337603, 0.0077107610225183986, 0.0077105235193667531, 0.0077103054679597237, 0.0077101067532425547, 0.0077099272711252925, 0.0077097669282135475, 0.0077096256415685686, 0.0077095033384952539, 0.0077093999563574156, 0.0077093154424193108, 0.0077092497537126544, 0.0077092028569287173, 0.0077091747283348482, 0.0077091653537151366, 0.0077091747283348517, 0.0077092028569287182, 0.0077092497537126509, 0.0077093154424193126, 0.0077093999563574251, 0.0077095033384952565, 0.0077096256415685764, 0.0077097669282135501, 0.0077099272711252873, 0.0077101067532425573, 0.007710305467959722, 0.0077105235193667618, 0.0077107610225184012, 0.007711018103733756, 0.0077112949009277157, 0.0077115915639756729, 0.0077119082551133141, 0.0077122451493732806, 0.0077126024350608509, 0.0077129803142708033, 0.0077133790034479904, 0.0077137987339943037, 0.0077142397529249944, 0.0077147023235775445, 0.007715186726376542, 0.007715693259658392, 0.0077162222405600589, 0.0077167740059761805, 0.0077173489135895883, 0.0077179473429803752, 0.0077185696968194821, 0.0077192164021527418, 0.0077198879117825426, 0.0077205847057541894, 0.0077213072929551161, 0.00772205621283561, 0.0077228320372606163, 0.0077236353725027703, 0.0077244668613879021, 0.0077253271856052852, 0.0077262170681957178, 0.0077271372762319794, 0.0077280886237072544, 0.0077290719746487702, 0.0077300882464750665, 0.0077311384136173654, 0.0077322235114271123, 0.0077333446403937646, 0.0077345029706991997, 0.0077356997471374313, 0.007736936294430982, 0.0077382140229780121, 0.0077395344350676479, 0.0077408991316041988, 0.0077423098193846835, 0.0077437683189782707, 0.0077452765732605733, 0.0077468366566606894, 0.0077484507851838602, 0.0077501213272785944, 0.0077518508156230884, 0.0077536419599123132, 0.0077554976607342912, 0.0077574210246316201, 0.0077594153804521728, 0.0077614842971014198, 0.0077636316028172683, 0.0077658614060973621, 0.007768178118417522, 0.0077705864788885836, 0.0077730915810069355, 0.0077756989016607428, 0.0077784143325590601, 0.0077812442142531539, 0.0077841953729177365, 0.0077872751600527972, 0.0077904914952513461, 0.0077938529121533151, 0.0077973686076654941, 0.0078010484944684797, 0.007804903256746527, 0.0078089444089566957, 0.0078131843572891071, 0.0078176364632447492, 0.0078223151084532878, 0.0078272357594441257, 0.0078324150305380882, 0.0078378707423007888, 0.0078436219720359017, 0.0078496890915252734, 0.0078560937855461001, 0.0078628590424920548, 0.0078700091055339174, 0.0078775693689715088, 0.0078855661994899039, 0.0078940266556056481, 0.0079029780702581619, 0.0079124474507550335, 0.0079224606365086991, 0.0079330411375019595, 0.007944208554442958, 0.007955976454411191, 0.0079683495429992944, 0.0079813199356907928, 0.0079948622889355805, 0.0080089275089969478, 0.0080234347223361591, 0.0080382611805499826, 0.0080532298128436312, 0.0080680942747984648, 0.008082521644645525, 0.0080960734919064224, 0.0081081870297341641, 0.0081181596285178174, 0.0081251422595227211, 0.0081281504613076976, 0.0081261048243855827, 0.0081179157018478366, 0.0081026266825483997, 0.0080796248254083446, 0.0080489086867378701, 0.0080113755781124601, 0.0079690513683209133, 0.0079251544186603566, 0.0078838851534395408, 0.0078498883131994102, 0.0078274472572540752, 0.0078196001414757195, 0.0078235473192368628, 0.0078351082521550229, 0.0078534756445610629, 0.0078774124628204819, 0.0079053934056459909, 0.0079357661902970788, 0.0079669071706373034, 0.0079973504743315847, 0.0080258779841562156, 0.00805156649181594, 0.008073795949494934, 0.0080922276081975154, 0.0081067627141493646, 0.0081174918980555545, 0.0081246433745075248, 0.0081285354933785352, 0.0081295367312524004, 0.0081280342531391703, 0.0081244108298209397, 0.0081190291153226818, 0.0081122219454681579, 0.0081042872700008133, 0.0080954864539965702, 0.0080860448876431019, 0.0080761540668901673, 0.008065974516601418, 0.008055639106323325, 0.0080452564518429612, 0.0080349142049156389, 0.0080246821135437924, 0.008014614791584905, 0.008004754174647263, 0.0079951316639023141, 0.0079857699744121623, 0.0079766847127870112, 0.0079678857126783582, 0.0079593781573614117, 0.0079511635176185477, 0.0079432403310691034, 0.007935604846529094, 0.0079282515542585738, 0.0079211736202776852, 0.007914363240419324, 0.0079078119275038817, 0.0079015107429906313, 0.007895450482683827, 0.0078896218245345876, 0.0078840154452650794, 0.0078786221114219273, 0.0078734327495208825, 0.0078684384991496246, 0.0078636307522284739, 0.0078590011810727202, 0.0078545417574355497, 0.0078502447643254078, 0.0078461028020709329, 0.0078421087898413819, 0.0078382559636110509, 0.0078345378713743433, 0.0078309483662683203, 0.0078274815981364231, 0.0078241320039644149, 0.0078208942975366309, 0.0078177634585911253, 0.0078147347216962343, 0.0078118035650243398, 0.0078089656991612065, 0.0078062170560577156, 0.0078035537782062412, 0.0078009722081028264, 0.0077984688780402024, 0.0077960405002630564, 0.0077936839575061395, 0.0077913962939274804, 0.0077891747064418766, 0.0077870165364546879, 0.0077849192619915842, 0.007782880490216873, 0.0077808979503305618, 0.007778969486832453, 0.0077770930531404128, 0.0077752667055490691, 0.0077734885975147671, 0.0077717569742521125, 0.0077700701676278374, 0.0077684265913373109, 0.0077668247363498538, 0.0077652631666087386, 0.0077637405149728117, 0.0077622554793865981, 0.0077608068192665984, 0.0077593933520918694, 0.0077580139501875261, 0.0077566675376903897, 0.0077553530876864236, 0.0077540696195103464, 0.0077528161961979815, 0.0077515919220827387, 0.0077503959405279457, 0.0077492274317871295, 0.0077480856109849606, 0.0077469697262118678, 0.0077458790567257923, 0.0077448129112548617, 0.0077437706263952634, 0.0077427515650987872, 0.0077417551152448002, 0.0077407806882920293, 0.0077398277180054046, 0.0077388956592537774, 0.0077379839868743621, 0.0077370921946003429, 0.0077362197940477936, 0.0077353663137587885, 0.0077345312982974295, 0.0077337143073958692, 0.0077329149151475129, 0.0077321327092448062, 0.0077313672902591182, 0.0077306182709603946, 0.0077298852756744205, 0.0077291679396755894, 0.0077284659086133091, 0.0077277788379701302, 0.0077271063925499978, 0.0077264482459948576, 0.0077258040803282451, 0.0077251735855243288, 0.0077233611369051988, 0.0077216612472867791, 0.007720066616056705, 0.0077185703714282459, 0.0077171660120200916, 0.0077158473583201978, 0.007714608512632809, 0.0077134438263267643, 0.0077123478733871799, 0.0077113154294263598, 0.0077103414554394838, 0.007709421085699982, 0.00770854961928221, 0.0077077225147782818, 0.0077069353878439911, 0.0077061840112684016, 0.0077054643173145856, 0.0077047724021274723, 0.0077041045320506889, 0.0077034571517394035, 0.0077028268940033222, 0.0077022105913649944, 0.00770160528937702, 0.0077010082618110516, 0.0077004170279166969, 0.0076998293720556155, 0.0076992433661539532, 0.0076986573955959807, 0.0076980701894194901, 0.0076974808559906738, 0.007696888925764739, 0.0076962944033219672, 0.0076956978316723825, 0.0076951003729391855, 0.0076945039111010714, 0.0076939111847057389, 0.0076933259606792826, 0.0076927532650402364, 0.0076921996932542416, 0.0076916738333658984, 0.0076911868509209778, 0.007690753309363519, 0.007690392338690271, 0.0076901293284451153, 0.0076899984260729399, 0.0076900463002270714, 0.0076903379415097905, 0.0076909658395945702, 0.0076920649399483858, 0.0076938378691825899, 0.0076965992098566019, 0.0077008569521826529, 0.0077074710185583767, 0.0077179837233591784, 0.0077353703356559328, 0.0077659428883587638, 0.0078249516336886815, 0.0079569595547357031, 0.0083395058904828685, 0.010295448996591978, 0.099398229367632721, 0.011823510628900961, 0.0087369440858073785, 0.0081739358062849956, 0.00797443013081282, 0.0078801536923696347, 0.0078277443467243812, 0.0077954172472288127, 0.0077740017760241443, 0.0077590725216310609, 0.0077482719663280724, 0.0077402462124974859, 0.0077341703586701598, 0.0077295171650120864, 0.0077259360108091965, 0.0077231857761641785, 0.0077210957782981645, 0.0077195420834225217, 0.00771843262699844, 0.0077176975765957841, 0.0077172829206721165, 0.0077171461013655933, 0.0077172529765401048, 0.0077175756666053065, 0.007718091002729615, 0.007718779391670612, 0.007719623974269724, 0.007720609994269885, 0.007721724320004451, 0.0077229550787342675, 0.0077242913750686596, 0.0077257230729161647, 0.0077272406259931746, 0.0077288349458597173, 0.007730497299267983, 0.0077322192286442687, 0.0077339924910108061, 0.0077358090117489418, 0.0077376608504189769, 0.0077395401764617164, 0.0077414392530665609, 0.0077433504278395602, 0.0077452661291709142, 0.0077471788674046676, 0.0077490812400689574, 0.0077509659405456581, 0.0077528257696495434, 0.0077546536496581201, 0.0077564426403873253, 0.0077581859569497294, 0.0077598769888632957, 0.0077615093202034226, 0.0077630767505095068, 0.0077645733161719171, 0.0077659933120375188, 0.0077673313129820046, 0.0077685821952064929, 0.0077697411570254926, 0.0077708037389218904, 0.0077717658426558166, 0.0077726237492248646, 0.0077733741354861071, 0.0077740140892646071, 0.0077745411227885175, 0.0077749531843088922, 0.0077752486677805221, 0.007775426420500769, 0.0077754857486252342, 0.0077754461930666539, 0.0077753276391699646, 0.0077751304249082257, 0.0077748551123591469, 0.0077745024858969928, 0.007774073549677748, 0.0077735695244334265, 0.0077729918435961651, 0.0077723421487766444, 0.0077716222846253256, 0.0077708342931088279, 0.0077699804072369058, 0.0077690630442786932, 0.007768084798509549, 0.007767048433532096, 0.0077659568742175231, 0.0077648131983140299, 0.0077636206277716807, 0.0077623825198329718, 0.0077611023579396204, 0.0077597837425062823, 0.0077584303816117493, 0.0077570460816585463, 0.0077556347380506423, 0.0077542003259391049, 0.0077527468910844879, 0.0077512785408839699, 0.0077497994356102943, 0.0077483137799090294, 0.0077468258145996028, 0.0077453398088251002, 0.0077438600525954106, 0.007742390849767875, 0.0077409365115103188, 0.0077395013502915043, 0.0077380896744451717, 0.0077367057833561594, 0.0077353539633188617, 0.0077340384841221048, 0.0077327635964187166, 0.0077315335299434794, 0.0077303524926500312, 0.0077292246708456271, 0.0077281542304126899, 0.0077271453192184637, 0.0077262020708284591, 0.0077253286096569821, 0.0077245290577086763, 0.007723807543089576, 0.0077231682104954465, 0.0077226152339196046, 0.0077221528318635931, 0.0077217852853826274, 0.0077215169593557965, 0.0077213523274396387, 0.0077212960012464464, 0.007721352764386652, 0.0077215276121331182, 0.0077218257976074314, 0.0077222528855598249, 0.007722814815022956, 0.0077235179723731664, 0.0077243692766424798, 0.0077253762793048309, 0.0077265472812285208, 0.007727891470067437, 0.0077294190820859296, 0.0077311415933165716, 0.0077330719460875332, 0.0077352248183961284, 0.0077376169454375868, 0.007740267504946414, 0.0077431985810354357, 0.0077464357251496412, 0.0077500086378953417, 0.0077539520022841786, 0.0077583065079404158, 0.007763120117893276, 0.0077684496459040275, 0.0077743627345719622, 0.007780940355216006, 0.0077882799934112703, 0.007796499744552805, 0.00780574363021909, 0.0078161885711630092, 0.0078280536363699964, 0.0078416124614100538, 0.0078572101444421821, 0.0078752865692194134, 0.0078964091139702066, 0.0079213193298274479, 0.0079510008505698521, 0.0079867803272239725, 0.008030481076534186, 0.0080846633425152026, 0.008153011594717369, 0.0082409808721118551, 0.008356919287199744, 0.0085141096298236071, 0.0087346885645936297, 0.0090576634036426632, 0.0095565835975704259, 0.010382015377296815, 0.011873467773688171, 0.014871308810997321, 0.021370592820491485, 0.031627716846417089, 0.029077095401295504, 0.018820496641486696, 0.013462543214832375, 0.011027745277699679, 0.0098078678854506482, 0.0091293246240333331, 0.0087189559995652748, 0.0084542318991559472, 0.0082747197499410154, 0.0081481608660012011, 0.0080561869532471443, 0.0079877725839397496, 0.0079360079684285736, 0.0078964077866121984, 0.0078659779667206459, 0.0078426778592182948, 0.007825098976025617, 0.0078122676816746017, 0.0078035218772557376, 0.0077984338656605775, 0.007796763650210938], [0.0078333212457704707, 0.0078332687149707658, 0.0078331112528088349, 0.0078328492495742131, 0.0078324833543459583, 0.0078320144728983351, 0.0078314437647910053, 0.0078307726396650845, 0.0078300027527729299, 0.0078291359997750588, 0.0078281745108425144, 0.0078271206441086674, 0.0078259769785188546, 0.0078247463061304999, 0.0078234316239205667, 0.0078220361251608653, 0.0078205631904249961, 0.0078190163782934467, 0.0078173994158267923, 0.0078157161888787827, 0.0078139707323241631, 0.0078121672202779496, 0.0078103099563862849, 0.0078084033642709209, 0.0078064519782134459, 0.0078044604341692284, 0.0078024334612057204, 0.0078003758734668405, 0.0077982925627725934, 0.0077961884919737993, 0.0077940686891954415, 0.0077919382431184802, 0.0077898022994727333, 0.0077876660589409974, 0.0077855347767106916, 0.0077834137639549612, 0.0077813083915845892, 0.0077792240966871994, 0.0077771663921675704, 0.007775140880228717, 0.0077731532704957869, 0.0077712094037967784, 0.0077693152828913672, 0.0077674771118036948, 0.0077657013458983116, 0.007763994755482429, 0.0077623645065832952, 0.0077608182637212038, 0.0077593643210994191, 0.007758011770838698, 0.007756770719955574, 0.0077556525721046606, 0.0077546703962537225, 0.0077538394133155886, 0.0077531776446827351, 0.0077527067857347132, 0.0077524533961274844, 0.0077524505425828182, 0.007752740098205816, 0.0077533760107459365, 0.0077544290279629152, 0.0077559936601181469, 0.0077581986573170914, 0.0077612231536325514, 0.0077653222172943837, 0.0077708685388626249, 0.0077784228785104381, 0.0077888580704229557, 0.0078035880554633962, 0.0078250159702810042, 0.0078574746204904729, 0.0079093815839093567, 0.0079987697099767972, 0.0081698142520005568, 0.0085542353881205811, 0.0096927502910118986, 0.015724997808236999, 0.067513323382084753, 0.015037655223844305, 0.010026407861142577, 0.0088894050620670836, 0.0084598150364414045, 0.008252098023205973, 0.008136321647105229, 0.0080657768233031932, 0.0080202671745014196, 0.0079898775211158929, 0.0079692676725806426, 0.0079553526468260343, 0.0079462512510435467, 0.0079407674467026068, 0.0079381166018253208, 0.0079377728080142658, 0.0079393797738485199, 0.0079426968578717692, 0.0079475654040210061, 0.0079538872779389997, 0.0079616110039038516, 0.0079707227996607712, 0.007981240872067457, 0.0079932119521179054, 0.0080067094095915767, 0.0080218324981739496, 0.0080387063951638596, 0.0080574827414413193, 0.0080783403644773336, 0.0081014857721295134, 0.0081271528143592939, 0.0081556005803298474, 0.0081871080578236229, 0.0082219632180926278, 0.0082604428328864332, 0.0083027772400901013, 0.0083490911375927353, 0.0083993069800503417, 0.0084529915865207746, 0.0085091199482597336, 0.0085657263274719116, 0.0086194210690464981, 0.0086647941679165504, 0.008693845733427099, 0.0086958371587669697, 0.0086583610891060141, 0.0085707730858536543, 0.0084306962233302273, 0.0082520385534689007, 0.0080691153254277195, 0.0079299598321908391, 0.0078777583240422049, 0.0078966479999858785, 0.0079496911761547349, 0.0080271103624519786, 0.0081158217596736647, 0.0082028745954755254, 0.0082782052002349955, 0.0083359312754983754, 0.0083741932952263835, 0.0083941039046082494, 0.0083984652587609475, 0.0083906952652973484, 0.0083741228488389743, 0.0083516244511469707, 0.0083255005843511087, 0.0082974905069958631, 0.0082688504384011777, 0.0082404502043635849, 0.0082128652357553924, 0.0081864544949793554, 0.0081614222527251375, 0.0081378650337465032, 0.0081158062629860511, 0.0080952212827210598, 0.0080760550999248153, 0.0080582347774717997, 0.0080416779473336704, 0.0080262985530102429, 0.0080120106338348023, 0.0079987307391677556, 0.0079863793935813568, 0.0079748819122095402, 0.0079641687773985628, 0.0079541757247485571, 0.0079448436417502068, 0.0079361183504204017, 0.0079279503228918431, 0.0079202943631264261, 0.0079131092768665971, 0.007906357544228958, 0.0079000050040020087, 0.0078940205550338729, 0.0078883758775939485, 0.0078830451759129873, 0.0078780049420022237, 0.007873233740148056, 0.0078687120110509483, 0.0078644218943385736, 0.0078603470680719198, 0.0078564726038368258, 0.0078527848360415119, 0.0078492712441026093, 0.0078459203462837197, 0.0078427216040417597, 0.0078396653358306593, 0.0078367426394054911, 0.0078339453217599279, 0.0078312658359142393, 0.0078286972238497017, 0.0078262330649572134, 0.0078238674294334801, 0.0078215948361176693, 0.0078194102143150108, 0.0078173088692018444, 0.0078152864504498765, 0.00781333892374576, 0.0078114625449168954, 0.0078096538364044246, 0.0078079095658525124, 0.0078062267266066424, 0.0078046025199358729, 0.0078030343388129763, 0.0078015197531037363, 0.0078000564960320675, 0.0077986424518009384, 0.0077972756442617717, 0.0077959542265352627, 0.0077946764714967925, 0.0077934407630478163, 0.0077922455881026167, 0.0077910895292265829, 0.0077899712578685075, 0.0077888895281347219, 0.0077878431710580983, 0.0077868310893191789, 0.0077858522523809532, 0.0077849056920020719, 0.007783990498096964, 0.0077831058149137149, 0.0077822508375036334, 0.0077814248084586892, 0.0077806270148948649, 0.0077798567856619087, 0.0077791134887611763, 0.0077783965289553343, 0.0077777053455547265, 0.0077770394103667956, 0.0077763982257958962, 0.0077757813230822309, 0.0077751882606691049, 0.0077746186226892973, 0.0077740720175613499, 0.0077735480766879901, 0.0077730464532493196, 0.007772566821083674, 0.0077721088736504521, 0.007771672323068809, 0.0077712568992271882, 0.0077708623489589415, 0.0077704884352795727, 0.0077701349366816087, 0.007769801646483521, 0.0077694883722291847, 0.0077691949351349167, 0.0077689211695813037, 0.0077686669226471146, 0.007768432053683186, 0.0077682164339239659, 0.0077680199461349318, 0.0077678424842941487, 0.0077676839533063211, 0.0077675442687481552, 0.0077674233566434924, 0.0077673211532675087, 0.0077672376049787873, 0.0077671726680785232, 0.0077671263086962553, 0.0077670985027015462, 0.0077670892356411806, 0.0077670985027015506, 0.0077671263086962587, 0.0077671726680785189, 0.0077672376049787873, 0.0077673211532675148, 0.0077674233566434958, 0.0077675442687481621, 0.0077676839533063246, 0.0077678424842941417, 0.0077680199461349336, 0.0077682164339239659, 0.0077684320536831929, 0.0077686669226471172, 0.0077689211695813011, 0.007769194935134914, 0.0077694883722291821, 0.0077698016464835254, 0.0077701349366816139, 0.0077704884352795709, 0.0077708623489589432, 0.0077712568992271951, 0.0077716723230688151, 0.0077721088736504565, 0.0077725668210836705, 0.0077730464532493162, 0.0077735480766879953, 0.0077740720175613455, 0.0077746186226892956, 0.007775188260669111, 0.0077757813230822214, 0.0077763982257959014, 0.0077770394103667938, 0.0077777053455547274, 0.0077783965289553282, 0.0077791134887611833, 0.0077798567856619131, 0.0077806270148948666, 0.0077814248084586918, 0.0077822508375036343, 0.0077831058149137131, 0.0077839904980969666, 0.0077849056920020789, 0.007785852252380948, 0.0077868310893191798, 0.0077878431710581035, 0.0077888895281347254, 0.0077899712578685058, 0.0077910895292265811, 0.0077922455881026158, 0.0077934407630478129, 0.0077946764714967899, 0.0077959542265352609, 0.0077972756442617717, 0.007798642451800941, 0.0078000564960320684, 0.0078015197531037441, 0.0078030343388129728, 0.0078046025199358746, 0.0078062267266066476, 0.0078079095658525176, 0.0078096538364044281, 0.0078114625449168962, 0.00781333892374576, 0.0078152864504498661, 0.0078173088692018427, 0.007819410214315009, 0.007821594836117671, 0.0078238674294334818, 0.0078262330649572168, 0.0078286972238496965, 0.0078312658359142376, 0.0078339453217599313, 0.0078367426394054928, 0.0078396653358306558, 0.0078427216040417563, 0.0078459203462837197, 0.0078492712441026076, 0.0078527848360415119, 0.0078564726038368258, 0.0078603470680719163, 0.0078644218943385701, 0.0078687120110509448, 0.0078732337401480525, 0.0078780049420022202, 0.0078830451759129821, 0.0078883758775939519, 0.0078940205550338677, 0.0079000050040020121, 0.0079063575442289598, 0.0079131092768665937, 0.0079202943631264209, 0.0079279503228918309, 0.0079361183504204017, 0.0079448436417501826, 0.0079541757247485381, 0.0079641687773985299, 0.0079748819122094968, 0.0079863793935813516, 0.007998730739167707, 0.0080120106338347815, 0.0080262985530102134, 0.0080416779473336565, 0.0080582347774717511, 0.0080760550999248414, 0.0080952212827210338, 0.0081158062629860389, 0.008137865033746557, 0.0081614222527251479, 0.0081864544949794473, 0.008212865235755434, 0.0082404502043637445, 0.0082688504384011725, 0.0082974905069958613, 0.008325500584351225, 0.0083516244511467209, 0.0083741228488390142, 0.0083906952652969529, 0.0083984652587613985, 0.0083941039046082321, 0.0083741932952262899, 0.0083359312754979261, 0.0082782052002351326, 0.008202874595475312, 0.0081158217596735607, 0.0080271103624519405, 0.0079496911761547176, 0.0078966479999858525, 0.0078777583240422135, 0.0078872816046667293, 0.0079149212617655087, 0.0079580320236270763, 0.0080126585539980477, 0.0080741146650534831, 0.0081376169531969366, 0.0081988498762386001, 0.0082543686885470247, 0.0083017978663920446, 0.0083398364699498826, 0.00836812040767183, 0.0083870065094538253, 0.0083973374191812292, 0.0084002287053805535, 0.0083968997116626344, 0.0083885536206882161, 0.0083763021394510206, 0.0083611255855965596, 0.008343858291660006, 0.0083251904351794685, 0.0083056793808817149, 0.0082857656350747433, 0.008265790211489453, 0.0082460114912831801, 0.0082266205547247926, 0.0082077545446525776, 0.0081895079756067919, 0.008171942099807393, 0.0081550925372032984, 0.0081389754110710762, 0.0081235922296130289, 0.0081089337346668278, 0.008094982911400159, 0.0080817173237456609, 0.008069110912562823, 0.0080571353686576305, 0.0080457611713650803, 0.0080349583654258806, 0.0080246971340692131, 0.0080149482141633893, 0.0080056831895886655, 0.0079968746912292138, 0.0079884965258115673, 0.0079805237509365332, 0.0079729327098010706, 0.0079657010360798339, 0.0079588076370591936, 0.0079522326612579478, 0.0079459574553135751, 0.0079399645137794572, 0.007934237424594778, 0.0079287608123019826, 0.0079235202805547182, 0.0079185023550466457, 0.0079136944276747868, 0.007909084702506548, 0.0079046621439334726, 0.0079004164272533182, 0.0078963378918150678, 0.0078924174967816077, 0.0078886467795067656, 0.0078850178164799525, 0.0078815231867623015, 0.0078781559378171499, 0.0078749095536249005, 0.0078717779249640445, 0.0078687553217371368, 0.0078658363672192404, 0.007863016014108765, 0.0078602895222631888, 0.0078576524380070852, 0.0078551005749046294, 0.0078526299958942801, 0.0078502369966892676, 0.0078479180903531336, 0.0078456699929654334, 0.0078434896102981492, 0.0078413740254290477, 0.0078393204872230799, 0.0078373263996180838, 0.0078353893116554964, 0.0078335069082012508, 0.0078316770013061605, 0.0078298975221586017, 0.007828166513586381, 0.0078264821230673125, 0.0078248425962117556, 0.007823246270682517, 0.0078216915705208289, 0.0078201770008488169, 0.007818701142921795, 0.0078172626495051703, 0.0078158602405531095, 0.0078144926991675703, 0.0078131588678180142, 0.0078118576448037253, 0.0078105879809416854, 0.0078093488764646437, 0.0078081393781148922, 0.0078069585764203647, 0.007805805603140788, 0.0078046796288723779, 0.0078035798608005157, 0.0078025055405905345, 0.0078014559424075189, 0.0078004303710567059, 0.0077994281602363907, 0.0077984486708964351, 0.0077974912896952176, 0.0077965554275489426, 0.0077956405182673305, 0.0077947460172703353, 0.0077938714003806982, 0.0077930161626876999, 0.0077921798174776279, 0.0077913618952269361, 0.0077905619426541627, 0.0077897795218271459, 0.0077890142093220921, 0.0077882655954314671, 0.0077875332834177391, 0.0077868168888103268, 0.0077861160387431164, 0.0077854303713302498, 0.0077847595350779598, 0.0077841031883302556, 0.0077834609987466911, 0.0077828326428102277, 0.0077810274645138712, 0.0077793358971955037, 0.0077777503876500483, 0.007776263853433424, 0.007774869617097062, 0.0077735613516731958, 0.0077723330357367974, 0.007771178916646573, 0.0077700934807961933, 0.007769071429895808, 0.007768107662460908, 0.0077671972598168009, 0.0077663354760366329, 0.007765517731323837, 0.0077647396084287151, 0.0077639968517572424, 0.0077632853688900409, 0.0077626012342835509, 0.0077619406949760647, 0.0077613001781702239, 0.007760676300613863, 0.0077600658797551654, 0.0077594659467089041, 0.0077588737611425868, 0.0077582868282790882, 0.0077577029183227642, 0.0077571200887574078, 0.0077565367101491804, 0.0077559514963316707, 0.0077553635401765211, 0.0077547723565942672, 0.0077541779350121139, 0.0077535808044054541, 0.0077529821151170143, 0.0077523837433266692, 0.0077517884263572367, 0.0077511999403515764, 0.0077506233367539371, 0.0077500652612920032, 0.0077495343900939005, 0.0077490420343250847, 0.007748602990849297, 0.0077482367579655492, 0.0077479693028133746, 0.0077478356795044178, 0.007747883989365904, 0.007748181513501996, 0.0077488244650454514, 0.0077499539759726946, 0.0077517832394388333, 0.0077546455165656185, 0.0077590832541661828, 0.0077660234108879352, 0.0077771477977320695, 0.0077957483086322438, 0.0078289438033615419, 0.0078944004093453105, 0.0080458877827610676, 0.0085135978985686443, 0.011343257173122397, 0.096114736452722754, 0.01076732280333424, 0.0086413563215491165, 0.0081839326038171262, 0.0080113936864572091, 0.0079270900240828064, 0.0078792330945391866, 0.0078492872643238735, 0.0078292417509793818, 0.0078151578104519205, 0.0078049074585983752, 0.0077972551015590948, 0.0077914412177207725, 0.0077869767922278659, 0.0077835346153883487, 0.0077808884752434979, 0.0077788775024990988, 0.0077773844107393453, 0.0077763217518330039, 0.0077756229704705453, 0.0077752364273416894, 0.0077751213121340472, 0.0077752447906738725, 0.0077755799766479252, 0.0077761044657334308, 0.0077767992605644832, 0.0077776479719879246, 0.0077786362187286032, 0.0077797511716263283, 0.0077809812046545123, 0.0077823156258195001, 0.0077837444685403606, 0.0077852583293483938, 0.0077868482414529582, 0.0077885055763749333, 0.0077902219677711037, 0.0077919892529784499, 0.0077937994288450546, 0.0077956446191866533, 0.0077975170517874809, 0.0077994090433015292, 0.0078013129907423462, 0.0078032213685032999, 0.0078051267300441223, 0.0078070217135280968, 0.0078088990508092815, 0.0078107515792563836, 0.0078125722559676727, 0.0078143541739827908, 0.0078160905801369415, 0.0078177748942327412, 0.0078194007292284248, 0.0078209619121587855, 0.0078224525055189866, 0.0078238668288530093, 0.0078251994802981829, 0.0078264453578460024, 0.0078275996800886566, 0.0078286580062290438, 0.0078296162551429859, 0.0078304707232926523, 0.00783121810130313, 0.007831855489028039, 0.0078323804089453133, 0.0078327908177422759, 0.0078330851159669843, 0.0078332621556435177, 0.0078333212457704707, 0.0078332818488922439, 0.0078331637705881564, 0.0078329673474876217, 0.0078326931394347901, 0.0078323419276891855, 0.007831914712423017, 0.007831412709530923, 0.0078308373467727392, 0.0078301902592736328, 0.0078294732844099713, 0.0078286884561130539, 0.0078278379986259534, 0.0078269243197519323, 0.0078259500036354738, 0.0078249178031192957, 0.0078238306317231082, 0.0078226915552906499, 0.0078215037833539985, 0.0078202706602640455, 0.0078189956561372995, 0.007817682357669279, 0.0078163344588646749, 0.0078149557517346729, 0.0078135501170106935, 0.0078121215149238093, 0.0078106739760980997, 0.0078092115926052339, 0.0078077385092267335, 0.0078062589149695775, 0.0078047770348798019, 0.0078032971221980701, 0.0078018234509007727, 0.0078003603086694946, 0.0077989119903324571, 0.0077974827918212159, 0.0077960770046870747, 0.0077946989112234475, 0.0077933527802420454, 0.0077920428635540042, 0.007790773393210871, 0.0077895485795651661, 0.0077883726102164251, 0.0077872496499160442, 0.0077861838415134374, 0.0077851793080369958, 0.0077842401560163114, 0.0077833704801680524, 0.007782574369586198, 0.0077818559155994806, 0.007781219221484865, 0.0077806684142565511, 0.0077802076587864151, 0.0077798411745546026, 0.0077795732553799747, 0.0077794082925399582, 0.0077793508017614055, 0.0077794054546486309, 0.0077795771152165804, 0.0077798708823187505, 0.007780292138904861, 0.0077808466092193192, 0.0077815404252636047, 0.0077823802041031304, 0.0077833731379129221, 0.007784527099040003, 0.0077858507628319308, 0.0077873537515626458, 0.0077890468035088185, 0.0077909419721299087, 0.0077930528614334671, 0.0077953949050293819, 0.0077979856981806265, 0.0078008453944589436, 0.0078039971815687661, 0.0078074678547229038, 0.0078112885109268716, 0.0078154953940533789, 0.0078201309292138289, 0.0078252449964326086, 0.0078308965090932471, 0.0078371553836139932, 0.0078441050155797359, 0.007851845417404503, 0.007860497228409544, 0.0078702068873036587, 0.0078811533706023805, 0.0078935570657650556, 0.0079076915918611969, 0.007923899746740808, 0.0079426153186420937, 0.0079643933695481423, 0.0079899529776825233, 0.0080202386667868348, 0.0080565104767901519, 0.0081004790010400507, 0.0081545129365094421, 0.0082219671305437253, 0.0083077177472525472, 0.0084190673608915533, 0.0085673402588369117, 0.0087708315204603135, 0.0090605676118522254, 0.0094922966809382857, 0.010173293387505679, 0.011326827742955696, 0.013454175991519371, 0.017681205077642394, 0.025342243792648281, 0.029853545348796463, 0.022494097459756262, 0.015618038414130826, 0.012169400836808472, 0.01045677641766715, 0.0095302077856693201, 0.0089853216499704326, 0.0086424426998587579, 0.0084148954822163922, 0.008257491228462711, 0.0081450606715132556, 0.0080627953920207069, 0.0080015823860368797, 0.0079556066956716319, 0.0079210527537713731, 0.0078953691379470489, 0.007876837320798788, 0.0078643124266670333, 0.0078570661542433674, 0.0078546939766285795], [0.007884943435028437, 0.0078848911469279574, 0.0078847344121843344, 0.0078844736190511709, 0.0078841094132213324, 0.0078836426957431729, 0.0078830746201253802, 0.0078824065886517903, 0.0078816402479338528, 0.007880777483734152, 0.0078798204150990637, 0.0078787713878444333, 0.0078776329674425018, 0.0078764079313625012, 0.0078750992609215916, 0.0078737101327063762, 0.0078722439096285263, 0.0078707041316807471, 0.0078690945064626844, 0.0078674188995481748, 0.0078656813247683054, 0.0078638859344864892, 0.0078620370099451928, 0.007860138951765655, 0.0078581962706860894, 0.0078562135786273725, 0.0078541955801799384, 0.0078521470646122291, 0.0078500728985084305, 0.0078479780191534655, 0.007845867428796385, 0.007843746189939136, 0.0078416194218195734, 0.0078394922982842619, 0.0078373700472812863, 0.0078352579522474129, 0.0078331613557209023, 0.0078310856655835516, 0.0078290363644288926, 0.0078270190226738517, 0.0078250393161865481, 0.0078231030494049624, 0.0078212161851853469, 0.0078193848829653922, 0.0078176155472854565, 0.0078159148893196372, 0.0078142900048848406, 0.0078127484734971855, 0.007811298484545399, 0.0078099489987114822, 0.0078087099556275541, 0.0078075925427640233, 0.0078066095462211082, 0.0078057758122358281, 0.0078051088600374283, 0.0078046297040886749, 0.0078043639697568156, 0.0078043434259478604, 0.0078046081192587385, 0.0078052093903077813, 0.0078062142074646224, 0.0078077115075575864, 0.0078098216625219954, 0.0078127109366479888, 0.0078166141358728038, 0.0078218711343607059, 0.0078289877704797155, 0.0078387413524794031, 0.0078523718869254709, 0.0078719477862408769, 0.0079011122028520217, 0.0079467336799267461, 0.0080229502663965637, 0.0081625119711228791, 0.008455180680777356, 0.0092203914146727333, 0.01227367816653431, 0.044402245210715598, 0.023288213626153114, 0.011268548131140744, 0.00932918644415392, 0.0086938001273758423, 0.0084087600359885311, 0.0082568799066649115, 0.0081669704570985057, 0.0081100493487431501, 0.0080724803952773767, 0.0080471484276890323, 0.0080300430101226915, 0.0080187666637900942, 0.0080118203466376207, 0.0080082352454970869, 0.0080073715143822461, 0.0080088028931117501, 0.0080122480057481238, 0.0080175282864937848, 0.0080245417832288668, 0.0080332468505041124, 0.0080436522974063392, 0.008055811986407993, 0.0080698227173026018, 0.0080858247464905848, 0.0081040046303817777, 0.008124600322314237, 0.0081479086405982191, 0.0081742953867426135, 0.008204208539378418, 0.0082381950784368805, 0.008276922081936474, 0.0083212027204931059, 0.0083720275086499579, 0.0084306003505013275, 0.0084983768988409862, 0.0085770982068362669, 0.0086688028707791031, 0.0087757803376477313, 0.0089003859312881111, 0.0090445543006588917, 0.0092086902603128219, 0.0093893545834526446, 0.0095748650351582393, 0.0097381253350797975, 0.0098285161478840338, 0.0097728675561934136, 0.009506556719149177, 0.0090406163467207524, 0.0085040026519993261, 0.008085648600027872, 0.007929681469929669, 0.0079859925875355921, 0.0081451261139339343, 0.00837735900867141, 0.0086357528067012822, 0.0088678416756773331, 0.0090338358371181548, 0.0091189158673097414, 0.0091312585331860506, 0.0090907734823551991, 0.0090184279354892753, 0.0089307887764995732, 0.0088389337579921085, 0.0087494047798754547, 0.0086656085568630054, 0.0085890013247598672, 0.0085199167678255052, 0.0084580904181453427, 0.008402971907752483, 0.0083539021745894729, 0.0083102091803437337, 0.0082712561952530891, 0.0082364632908062761, 0.0082053141887595393, 0.0081773554670803786, 0.0081521920803022136, 0.008129481381563719, 0.00810892681656427, 0.0080902718825392027, 0.0080732946230179844, 0.0080578027532928562, 0.0080436294192618579, 0.0080306295471837541, 0.0080186767228843589, 0.0080076605340168687, 0.0079974843112548752, 0.0079880632099185826, 0.0079793225803918774, 0.0079711965826574985, 0.0079636270068004118, 0.0079565622671720054, 0.0079499565429969592, 0.0079437690425663478, 0.0079379633718546748, 0.0079325069915067454, 0.0079273707487419621, 0.0079225284728961769, 0.007917956625132009, 0.0079136339943573358, 0.0079095414326489834, 0.0079056616245266539, 0.0079019788852973186, 0.0078984789844214164, 0.0078951489904645431, 0.0078919771347115246, 0.0078889526909511169, 0.0078860658693026171, 0.007883307722261812, 0.0078806700614026011, 0.0078781453833896356, 0.0078757268041435378, 0.0078734080001582451, 0.0078711831561050598, 0.0078690469179729973, 0.0078669943510935557, 0.0078650209024825526, 0.0078631223670044166, 0.0078612948569262986, 0.0078595347744841153, 0.007857838787128292, 0.0078562038051581233, 0.0078546269614879986, 0.0078531055933196651, 0.0078516372255208709, 0.0078502195555337998, 0.0078488504396571901, 0.0078475278805632334, 0.0078462500159262386, 0.0078450151080533149, 0.0078438215344194834, 0.0078426677790199798, 0.0078415524244619794, 0.0078404741447259674, 0.0078394316985344395, 0.007838423923271793, 0.0078374497294053155, 0.0078365080953618632, 0.0078355980628196809, 0.0078347187323785476, 0.0078338692595751706, 0.0078330488512140493, 0.0078322567619865564, 0.0078314922913539815, 0.007830754780672201, 0.0078300436105379727, 0.0078293581983385971, 0.0078286979959883499, 0.0078280624878366029, 0.007827451188734038, 0.0078268636422442923, 0.0078262994189898846, 0.0078257581151218707, 0.0078252393509038714, 0.0078247427694019579, 0.0078242680352721868, 0.0078238148336390381, 0.0078233828690578346, 0.0078229718645553298, 0.007822581560742916, 0.0078222117149974995, 0.0078218621007053891, 0.0078215325065651205, 0.007821222735945323, 0.007820932606294205, 0.0078206619485974918, 0.0078204106068819144, 0.0078201784377616556, 0.007819965310025408, 0.0078197711042618089, 0.0078195957125215161, 0.0078194390380139558, 0.0078193009948374706, 0.0078191815077412203, 0.0078190805119179082, 0.0078189979528261351, 0.0078189337860415323, 0.0078188879771359677, 0.0078188605015842086, 0.007818851344697576, 0.0078188605015842121, 0.0078188879771359694, 0.0078189337860415289, 0.0078189979528261351, 0.0078190805119179151, 0.007819181507741229, 0.0078193009948374793, 0.0078194390380139558, 0.0078195957125215109, 0.0078197711042618124, 0.007819965310025408, 0.0078201784377616643, 0.0078204106068819144, 0.0078206619485974901, 0.0078209326062942015, 0.0078212227359453212, 0.0078215325065651223, 0.0078218621007053925, 0.007822211714997496, 0.007822581560742916, 0.0078229718645553351, 0.0078233828690578416, 0.0078238148336390381, 0.0078242680352721816, 0.0078247427694019562, 0.0078252393509038749, 0.0078257581151218655, 0.0078262994189898846, 0.0078268636422442958, 0.0078274511887340293, 0.0078280624878366047, 0.0078286979959883516, 0.0078293581983385954, 0.0078300436105379692, 0.0078307547806722062, 0.0078314922913539885, 0.0078322567619865564, 0.0078330488512140511, 0.0078338692595751706, 0.0078347187323785459, 0.0078355980628196827, 0.0078365080953618649, 0.007837449729405312, 0.007838423923271793, 0.007839431698534443, 0.0078404741447259726, 0.0078415524244619776, 0.0078426677790199815, 0.0078438215344194852, 0.0078450151080533097, 0.0078462500159262351, 0.0078475278805632352, 0.0078488504396571936, 0.0078502195555337998, 0.0078516372255208692, 0.007853105593319672, 0.0078546269614879951, 0.0078562038051581233, 0.007857838787128299, 0.0078595347744841188, 0.0078612948569263038, 0.0078631223670044166, 0.007865020902482556, 0.0078669943510935487, 0.0078690469179729973, 0.0078711831561050615, 0.0078734080001582468, 0.0078757268041435395, 0.0078781453833896391, 0.0078806700614025942, 0.0078833077222618137, 0.0078860658693026206, 0.0078889526909511169, 0.0078919771347115229, 0.0078951489904645379, 0.0078984789844214164, 0.0079019788852973186, 0.0079056616245266539, 0.0079095414326489817, 0.0079136339943573341, 0.0079179566251320055, 0.0079225284728961769, 0.0079273707487419603, 0.0079325069915067402, 0.0079379633718546713, 0.0079437690425663496, 0.0079499565429969558, 0.0079565622671720071, 0.0079636270068004136, 0.0079711965826574915, 0.0079793225803918774, 0.0079880632099185722, 0.0079974843112548769, 0.0080076605340168409, 0.0080186767228843381, 0.0080306295471837177, 0.0080436294192618042, 0.0080578027532928493, 0.0080732946230179306, 0.0080902718825391733, 0.008108926816564237, 0.0081294813815637051, 0.008152192080302146, 0.0081773554670804167, 0.0082053141887595011, 0.0082364632908062708, 0.0082712561952531707, 0.0083102091803437476, 0.0083539021745896256, 0.0084029719077525662, 0.0084580904181455942, 0.008519916767825467, 0.0085890013247598689, 0.0086656085568632777, 0.0087494047798749516, 0.0088389337579921935, 0.0089307887764985775, 0.0090184279354905764, 0.0090907734823550222, 0.0091312585331856429, 0.0091189158673081489, 0.0090338358371185347, 0.0088678416756765664, 0.0086357528067009214, 0.0083773590086713701, 0.0081451261139339082, 0.0079859925875355297, 0.007929681469929676, 0.0079580388465579216, 0.0080406826735033923, 0.0081702169804041772, 0.0083342318670731348, 0.0085160105144273905, 0.0086965781874056881, 0.0088579587963346623, 0.0089865664868479141, 0.0090753168216351973, 0.0091236970842215655, 0.009136146063471658, 0.0091197646020185173, 0.0090822913123166024, 0.0090307845473087643, 0.0089710084359337101, 0.0089073131380727911, 0.0088427808956467908, 0.0087794725286520336, 0.0087186806157668433, 0.0086611476098756995, 0.0086072371776219261, 0.0085570613641094626, 0.0085105714002595128, 0.0084676207127416404, 0.0084280076176057664, 0.008391503603524187, 0.0083578716103953447, 0.0083268774772505376, 0.0082982967940140543, 0.0082719187052711588, 0.0082475477258898561, 0.0082250042869526346, 0.0082041244946303819, 0.0081847594231197422, 0.0081667741528707732, 0.0081500466910098355, 0.0081344668608575258, 0.0081199352140366374, 0.0081063619965126531, 0.0080936661853850556, 0.0080817746038599828, 0.0080706211159046002, 0.0080601458984531308, 0.0080502947869346905, 0.0080410186887911374, 0.0080322730591977885, 0.0080240174331481524, 0.0080162150082615704, 0.0080088322730080281, 0.0080018386754534491, 0.0079952063280643425, 0.007988909744544536, 0.007982925605094492, 0.0079772325468728915, 0.007971810976799068, 0.0079666429041596147, 0.007961711790774862, 0.0079570024167425445, 0.0079525007600076067, 0.0079481938882129139, 0.007944069861467621, 0.0079401176448293566, 0.0079363270294380509, 0.0079326885613627083, 0.0079291934773318105, 0.0079258336466135268, 0.0079226015183965284, 0.0079194900740957985, 0.0079164927840734822, 0.007913603568321631, 0.0079108167607046288, 0.0079081270764032839, 0.0079055295822419054, 0.0079030196696142918, 0.0079005930297552165, 0.0078982456311310189, 0.007895973698746693, 0.0078937736951884274, 0.007891642303239077, 0.0078895764099208669, 0.0078875730918344517, 0.0078856296016767257, 0.007883743355831533, 0.007881911922937683, 0.0078801330133485802, 0.0078784044694054384, 0.0078767242564542015, 0.0078750904545424084, 0.0078735012507387611, 0.0078719549320230477, 0.0078704498786993215, 0.0078689845582892836, 0.0078675575198669002, 0.00786616738879874, 0.0078648128618576032, 0.0078634927026801568, 0.0078622057375414521, 0.0078609508514219054, 0.007859726984344324, 0.0078585331279603394, 0.0078573683223675233, 0.0078562316531399796, 0.0078551222485565824, 0.0078540392770123646, 0.0078529819445998031, 0.0078519494928477804, 0.0078509411966067692, 0.0078499563620702123, 0.0078489943249222902, 0.0078480544486033872, 0.0078471361226850698, 0.0078462387613472458, 0.0078453618019503329, 0.0078445047036962649, 0.0078436669463722679, 0.0078428480291719959, 0.0078420474695888899, 0.0078412648023771479, 0.0078404995785758113, 0.0078397513645919979, 0.0078390197413395271, 0.007838304303429371, 0.0078376046584087596, 0.0078369204260458226, 0.0078362512376570943, 0.0078355967354750405, 0.0078349565720534243, 0.0078343304097079937, 0.0078325326878886988, 0.0078308496517486628, 0.0078292734851268565, 0.0078277968872829916, 0.0078264129991869481, 0.0078251153425630861, 0.0078238977697089908, 0.0078227544224504907, 0.0078216796988745795, 0.0078206682267103582, 0.0078197148424160035, 0.0078188145751851273, 0.007817962635214705, 0.0078171544056846089, 0.0078163854379896865, 0.0078156514498430897, 0.0078149483259371266, 0.0078142721209081886, 0.0078136190644077768, 0.007812985568135004, 0.0078123682347395265, 0.007811763868561067, 0.007811169488235398, 0.0078105823412713202, 0.0078099999207938541, 0.0078094199847624857, 0.0078088405781188055, 0.0078082600585074871, 0.0078076771264657232, 0.0078070908613118994, 0.007806500764419127, 0.0078059068121808109, 0.0078053095218340333, 0.0078047100345058308, 0.0078041102215397583, 0.0078035128225779427, 0.0078029216273705513, 0.0078023417184101664, 0.0078017797991113578, 0.0078012446437696831, 0.00780074772322402, 0.0078003040878261154, 0.0077999336335184341, 0.007799662948964621, 0.0077995280623508467, 0.0077995786138695218, 0.0077998843472836376, 0.0078005454873252052, 0.0078017098524141709, 0.0078036021061858472, 0.0078065759031556176, 0.007811211590318435, 0.0078185105696695519, 0.0078303114955629791, 0.0078502681612354856, 0.007886442654330042, 0.007959419090863333, 0.0081346756619440578, 0.008716091903743315, 0.013062410946199586, 0.044135293517592308, 0.010102387661418173, 0.0085717897723511672, 0.0081948816512051499, 0.0080446097691287809, 0.0079689005143976453, 0.0079250739478792364, 0.0078972760356300336, 0.007878483358649456, 0.0078651806993877676, 0.007855443163063424, 0.007848141196042378, 0.0078425744960237478, 0.0078382889726774027, 0.007834978963144142, 0.0078324320629558162, 0.0078304965420280363, 0.0078290613348375743, 0.0078280433324709915, 0.0078273790723286888, 0.0078270191621804056, 0.0078269244528929166, 0.0078270633578264841, 0.007827409941217155, 0.0078279425328213609, 0.0078286427094092243, 0.0078294945363283231, 0.0078304839963221091, 0.0078315985551275086, 0.007832826828331375, 0.0078341583241409024, 0.0078355832437499509, 0.0078370923259030272, 0.0078386767257475256, 0.0078403279205680101, 0.0078420376368121547, 0.0078437977941482016, 0.0078456004632776032, 0.0078474378349594909, 0.0078493021982549357, 0.007851185926414983, 0.007853081469153117, 0.0078549813502845241, 0.0078568781698998714, 0.0078587646103827919, 0.0078606334456904868, 0.0078624775533997996, 0.0078642899290860512, 0.0078660637026508953, 0.0078677921562532345, 0.0078694687435255529, 0.0078710871097803919, 0.0078726411129281838, 0.007874124844841018, 0.0078755326529076734, 0.0078768591615345964, 0.0078780992933557299, 0.0078792482899232019, 0.0078803017316586565, 0.0078812555568559071, 0.00788210607953568, 0.0078828500059657334, 0.0078834844496737128, 0.0078840069447948889, 0.0078844154576149621, 0.007884708396185703, 0.007884884617911753, 0.007884943435028437, 0.0078849042201743491, 0.0078847866874298331, 0.0078845911718877868, 0.0078843182308380288, 0.0078839686419777209, 0.0078835434009222622, 0.0078830437180323187, 0.0078824710145774819, 0.0078818269182607224, 0.0078811132581318531, 0.007880332058921892, 0.0078794855348334192, 0.0078785760828250367, 0.0078776062754308141, 0.0078765788531577202, 0.0078754967165064992, 0.0078743629176622216, 0.0078731806519031049, 0.0078719532487761378, 0.0078706841630892706, 0.0078693769657699891, 0.0078680353346400229, 0.0078666630451560606, 0.0078652639611652454, 0.0078638420257241479, 0.0078624012520288698, 0.0078609457145029423, 0.0078594795400887575, 0.0078580068997874293, 0.0078565320004908429, 0.0078550590771490122, 0.0078535923853151317, 0.007852136194110038, 0.0078506947796482714, 0.0078492724189675282, 0.0078478733845040935, 0.0078465019391585466, 0.0078451623319970958, 0.0078438587946370493, 0.0078425955383679448, 0.0078413767520644339, 0.007840206600952266, 0.0078390892262955505, 0.0078380287460816031, 0.0078370292567895277, 0.0078360948363404345, 0.0078352295483412604, 0.0078344374477506713, 0.0078337225881151933, 0.0078330890305468356, 0.0078325408546405222, 0.0078320821715618851, 0.0078317171395734606, 0.0078314499823118437, 0.0078312850101805182, 0.0078312266452851883, 0.0078312794504111979, 0.0078314481626296107, 0.0078317377322215873, 0.0078321533677334215, 0.007832700588121768, 0.0078333852831247476, 0.0078342137832069138, 0.0078351929406823284, 0.0078363302239311105, 0.0078376338270036445, 0.0078391127973698165, 0.0078407771851401482, 0.0078426382177886993, 0.007844708505279914, 0.0078470022815894346, 0.0078495356899738328, 0.0078523271210649663, 0.0078553976150485937, 0.0078587713419752507, 0.007862476177834336, 0.0078665443986591539, 0.0078710135209732867, 0.0078759273248238098, 0.0078813371061497682, 0.0078873032192533186, 0.0078938969890185937, 0.0079012030981828497, 0.0079093225901895187, 0.0079183766770223544, 0.0079285116099829436, 0.0079399049687291362, 0.0079527738639132879, 0.0079673857529400805, 0.0079840728705490548, 0.0080032517303684023, 0.0080254498489443736, 0.0080513429279250887, 0.0080818074554737072, 0.0081179964959573903, 0.0081614511202677473, 0.0082142679538402714, 0.0082793574850910222, 0.0083608536202313712, 0.0084647838705583216, 0.0086002059046280579, 0.0087812146816251199, 0.0090306535898780037, 0.0093873394401175238, 0.0099209403746122801, 0.010764347769090949, 0.012186428182494453, 0.014741948310943432, 0.019356126826317072, 0.025411289353845352, 0.025447091733722633, 0.019070434844787893, 0.014195115145907601, 0.011586240199399701, 0.010192770052176043, 0.0093984507623812181, 0.0089144965753486828, 0.008602679462186319, 0.0083926222808503748, 0.0082461646607569043, 0.0081414346508898432, 0.0080653005264542561, 0.0080095794767244179, 0.0079690315362262888, 0.007940250622332749, 0.0079210308513204281, 0.0079099983524462368, 0.0079064007228529347], [0.0079308521238569008, 0.0079308001051065016, 0.0079306441776719055, 0.0079303847275853569, 0.0079300223968452217, 0.00792955808134377, 0.0079289929279881405, 0.0079283283310357406, 0.007927565927671661, 0.0079267075928613501, 0.0079257554335165174, 0.0079247117820179583, 0.007923579189143307, 0.0079223604164519699, 0.0079210584281835823, 0.0079196763827300651, 0.007918217623744379, 0.0079166856709520089, 0.0079150842107343355, 0.0079134170865549028, 0.007911688289302627, 0.0079099019476276591, 0.0079080623183489154, 0.0079061737770140302, 0.0079042408086964291, 0.0079022679991176837, 0.0079002600261877647, 0.0078982216520623576, 0.0078961577158234309, 0.0078940731268991333, 0.0078919728593519322, 0.0078898619471790485, 0.0078877454807904784, 0.0078856286048555949, 0.0078835165177427082, 0.0078814144728184838, 0.0078793277819289072, 0.0078772618214528849, 0.0078752220414090614, 0.0078732139782118696, 0.0078712432718211576, 0.0078693156882226906, 0.0078674371484282711, 0.0078656137655131846, 0.007863851891642952, 0.007862158177616976, 0.0078605396482262103, 0.0078590037977577226, 0.0078575587113851927, 0.0078562132201098148, 0.0078549770995774981, 0.0078538613268139424, 0.0078528784141630101, 0.0078520428471997167, 0.007851371664208566, 0.0078508852306656777, 0.0078506082857113142, 0.0078505713731384409, 0.0078508128239736154, 0.0078513815430141538, 0.0078523409877445018, 0.0078537749499704972, 0.0078557961214224398, 0.0078585590615954416, 0.007862280313835875, 0.0078672704814907561, 0.0078739870093943887, 0.007883124244501917, 0.0078957737480293312, 0.0079137243013840362, 0.0079400581360538243, 0.0079804265720346181, 0.008046044507657106, 0.0081616205222283245, 0.0083901000215831252, 0.0089306523107619291, 0.010689362529777559, 0.022243269171193993, 0.048380511827183247, 0.013691622689162719, 0.0099962844414613478, 0.0090019156015619141, 0.008596700240341577, 0.0083924349356677957, 0.0082756640690061084, 0.0082034004185943445, 0.0081563940077915113, 0.0081249571933080088, 0.0081037785661513661, 0.0080897519927944812, 0.0080809704561632736, 0.0080762211393089461, 0.0080747154841947326, 0.0080759374090860533, 0.0080795545843519948, 0.008085365184878214, 0.0080932656296357937, 0.0081032314124094874, 0.0081153066296175656, 0.0081295997782534577, 0.008146284582203971, 0.0081656053960226828, 0.0081878873486762004, 0.0082135519659099574, 0.0082431396619503678, 0.0082773413394286038, 0.0083170425392471905, 0.0083633853771314052, 0.0084178562696993597, 0.0084824118131048114, 0.008559662170134508, 0.0086531426758631961, 0.0087677228951620612, 0.0089102322655492134, 0.0090904275229620572, 0.0093224879023554082, 0.0096272591344841729, 0.010035257395108077, 0.010589034423643106, 0.011337196478953796, 0.012289840440837052, 0.013258314775854454, 0.013603927753529726, 0.012657228987892562, 0.010937260765212177, 0.0094706418871350895, 0.0085671772362202799, 0.0081122782483721411, 0.0079758701324853278, 0.0080239690064807679, 0.0081775751825189525, 0.0084647382518168533, 0.008928412215119334, 0.0096018168366438176, 0.010433790286612937, 0.011191883485109789, 0.011550160630010421, 0.011413734443955091, 0.010981704749908023, 0.010482577694662083, 0.01003283206525773, 0.0096635551607068999, 0.0093701188071099121, 0.0091384777113346534, 0.0089547115904273986, 0.0088074914860283033, 0.0086881851903145187, 0.008590358445800781, 0.0085092322634745948, 0.0084412395423279791, 0.0083836940346852275, 0.0083345513402831931, 0.0082922381546381881, 0.0082555302489776949, 0.0082234647792077242, 0.0081952767348808103, 0.0081703524339678708, 0.0081481951419097153, 0.0081283993912497111, 0.0081106316053106108, 0.0080946153348159765, 0.00808011990336387, 0.0080669515963083128, 0.0080549467650788339, 0.0080439663869772398, 0.0080338917404487575, 0.0080246209422586232, 0.0080160661558407904, 0.0080081513261721603, 0.0080008103306105898, 0.0079939854605536563, 0.0079876261678781986, 0.0079816880245874092, 0.0079761318551261791, 0.0079709230093005113, 0.0079660307502888075, 0.0079614277373310487, 0.0079570895866725496, 0.0079529944974811254, 0.0079491229319441706, 0.007945457340732362, 0.0079419819266009668, 0.007938682440173303, 0.0079355460029796841, 0.0079325609536601352, 0.0079297167139191806, 0.0079270036713778649, 0.0079244130769255093, 0.0079219369545508404, 0.0079195680219444255, 0.0079172996204238833, 0.0079151256529495072, 0.0079130405291788376, 0.0079110391166605041, 0.0079091166973956333, 0.0079072689291025088, 0.0079054918106120746, 0.0079037816508989341, 0.0079021350413187898, 0.0079005488306794318, 0.0078990201028207602, 0.0078975461564206439, 0.0078961244867787536, 0.0078947527693616869, 0.0078934288449185441, 0.0078921507059996135, 0.0078909164847303162, 0.0078897244417100824, 0.0078885729559207279, 0.0078874605155423161, 0.0078863857095855926, 0.0078853472202605815, 0.0078843438160094165, 0.0078833743451395509, 0.0078824377300000716, 0.0078815329616501971, 0.0078806590949739817, 0.0078798152442003666, 0.0078790005787917616, 0.0078782143196678457, 0.0078774557357350842, 0.0078767241406947873, 0.0078760188901057862, 0.0078753393786796366, 0.0078746850377887142, 0.0078740553331692088, 0.0078734497628029313, 0.0078728678549630886, 0.0078723091664109311, 0.0078717732807308885, 0.0078712598067934552, 0.0078707683773357826, 0.0078702986476506705, 0.0078698502943760594, 0.0078694230143771873, 0.0078690165237146857, 0.007868630556692369, 0.0078682648649790049, 0.007867919216798875, 0.007867593396186463, 0.0078672872023008867, 0.0078670004487962492, 0.0078667329632443432, 0.0078664845866064353, 0.007866255172751295, 0.0078660445880167629, 0.0078658527108124553, 0.0078656794312616362, 0.0078655246508800673, 0.0078653882822904368, 0.0078652702489705323, 0.0078651704850341703, 0.0078650889350435245, 0.0078650255538518857, 0.0078649803064761697, 0.0078649531679984008, 0.0078649441234957037, 0.0078649531679984043, 0.0078649803064761714, 0.0078650255538518857, 0.0078650889350435262, 0.0078651704850341772, 0.0078652702489705358, 0.0078653882822904437, 0.0078655246508800691, 0.007865679431261631, 0.0078658527108124553, 0.0078660445880167594, 0.0078662551727513054, 0.007866484586606437, 0.0078667329632443397, 0.007867000448796244, 0.0078672872023008832, 0.0078675933961864682, 0.0078679192167988785, 0.0078682648649790032, 0.0078686305566923673, 0.0078690165237146909, 0.007869423014377196, 0.0078698502943760629, 0.007870298647650667, 0.0078707683773357809, 0.0078712598067934604, 0.0078717732807308816, 0.0078723091664109276, 0.0078728678549630955, 0.0078734497628029209, 0.0078740553331692123, 0.0078746850377887159, 0.0078753393786796366, 0.0078760188901057793, 0.0078767241406947925, 0.0078774557357350894, 0.0078782143196678475, 0.0078790005787917651, 0.0078798152442003666, 0.0078806590949739783, 0.0078815329616501971, 0.0078824377300000786, 0.0078833743451395457, 0.0078843438160094165, 0.0078853472202605884, 0.0078863857095855996, 0.0078874605155423161, 0.0078885729559207279, 0.0078897244417100824, 0.0078909164847303145, 0.00789215070599961, 0.0078934288449185441, 0.0078947527693616886, 0.0078961244867787571, 0.0078975461564206456, 0.0078990201028207672, 0.0079005488306794248, 0.0079021350413187898, 0.0079037816508989427, 0.0079054918106120781, 0.0079072689291025105, 0.0079091166973956333, 0.0079110391166605058, 0.0079130405291788341, 0.0079151256529495072, 0.0079172996204238816, 0.0079195680219444255, 0.0079219369545508456, 0.0079244130769255162, 0.0079270036713778597, 0.0079297167139191788, 0.0079325609536601387, 0.0079355460029796841, 0.0079386824401733013, 0.0079419819266009616, 0.0079454573407323585, 0.0079491229319441706, 0.0079529944974811237, 0.0079570895866725496, 0.0079614277373310435, 0.0079660307502888057, 0.0079709230093005078, 0.0079761318551261756, 0.0079816880245874022, 0.0079876261678781934, 0.007993985460553658, 0.0080008103306105881, 0.008008151326172162, 0.0080160661558407904, 0.0080246209422586146, 0.008033891740448754, 0.0080439663869772242, 0.0080549467650788374, 0.0080669515963082798, 0.0080801199033638457, 0.0080946153348159331, 0.0081106316053105448, 0.008128399391249699, 0.0081481951419096442, 0.0081703524339678361, 0.0081952767348807739, 0.0082234647792077068, 0.0082555302489776047, 0.0082922381546382453, 0.0083345513402831289, 0.0083836940346852153, 0.0084412395423281023, 0.008509232263474607, 0.0085903584458010135, 0.0086881851903146696, 0.0088074914860287734, 0.0089547115904273049, 0.0091384777113346326, 0.0093701188071106997, 0.00966355516070533, 0.010032832065258091, 0.010482577694658747, 0.010981704749912238, 0.011413734443954965, 0.011550160630009389, 0.011191883485107985, 0.010433790286612888, 0.0096018168366444022, 0.0089284122151196948, 0.0084647382518169105, 0.0081775751825189959, 0.0080239690064808199, 0.0079758701324853364, 0.0079997272589602108, 0.0080736152758405615, 0.0082045517971814329, 0.0084042494290533197, 0.0086882480975069495, 0.0090723733824355033, 0.0095633876164799292, 0.010141149876138504, 0.010737645862567461, 0.011236685240354607, 0.011521562733668665, 0.011546422986670682, 0.011357295870135642, 0.011045431866615229, 0.01069271294869229, 0.010350021945491941, 0.010040996739182899, 0.0097726184484047338, 0.0095436807539393039, 0.0093497460759326793, 0.0091855987173120497, 0.0090463008421331117, 0.0089275612222374894, 0.0088257969587663496, 0.0087380735132878955, 0.0086620074291304718, 0.008595667324923539, 0.0085374862816672333, 0.0084861889276599128, 0.0084407325689282147, 0.0084002603770972403, 0.0083640644230355762, 0.0083315565475875746, 0.00830224538955961, 0.0082757182220550788, 0.0082516265368933542, 0.0082296745529027143, 0.008209610010685665, 0.0081912167616536597, 0.0081743087709463466, 0.0081587252395807792, 0.0081443266168379942, 0.0081309913242195459, 0.0081186130509722336, 0.0081070985109742907, 0.0080963655738250859, 0.0080863417008797955, 0.008076962630936978, 0.0080681712712272514, 0.0080599167579655049, 0.0080521536575395864, 0.0080448412848176318, 0.0080379431193732809, 0.0080314263038860027, 0.0080252612117581654, 0.0080194210732397984, 0.0080138816511775585, 0.0080086209589922096, 0.0080036190147049179, 0.0079988576258314178, 0.0079943202007863867, 0.0079899915831198771, 0.0079858579054731139, 0.0079819064606100349, 0.0079781255872740601, 0.0079745045689478232, 0.0079710335438704163, 0.0079677034248989351, 0.0079645058279985137, 0.0079614330083113138, 0.0079584778028969922, 0.0079556335793578275, 0.0079528941896647373, 0.0079502539285889497, 0.007947707496219699, 0.0079452499641137139, 0.0079428767446782563, 0.0079405835634384012, 0.0079383664338809647, 0.0079362216346043016, 0.0079341456885347293, 0.0079321353439981007, 0.007930187557459242, 0.0079282994777628152, 0.0079264684317281436, 0.0079246919109661404, 0.0079229675598014287, 0.0079212931641946521, 0.0079196666415716228, 0.0079180860314752941, 0.0079165494869655531, 0.0079150552666992276, 0.0079136017276297162, 0.007912187318271615, 0.0079108105724810269, 0.0079094701037073032, 0.0079081645996758321, 0.0079068928174657258, 0.0079056535789495206, 0.0079044457665649118, 0.0079032683193916049, 0.0079021202295086208, 0.00790100053860965, 0.0078999083348561105, 0.0078988427499493228, 0.007897802956404916, 0.0078967881650137441, 0.007895797622475529, 0.007894830609191968, 0.0078938864372075888, 0.0078929644482873852, 0.0078920640121214088, 0.0078911845246469551, 0.0078903254064800806, 0.007889486101448592, 0.0078886660752194651, 0.0078878648140140294, 0.0078870818234049525, 0.0078863166271893256, 0.0078855687663327984, 0.0078848377979798788, 0.0078841232945260787, 0.0078834248427477605, 0.0078827420429859029, 0.0078820745083803666, 0.0078814218641512206, 0.0078807837469243355, 0.007880159804098277, 0.0078783696453724184, 0.0078766952788356069, 0.0078751286137326033, 0.0078736621223483606, 0.0078722887576939248, 0.0078710018856041706, 0.0078697952289230964, 0.0078686628218702769, 0.007867598973019729, 0.0078665982355957485, 0.0078656553840128329, 0.0078647653957692586, 0.0078639234379538001, 0.0078631248577497211, 0.0078623651764240556, 0.007861640086378574, 0.0078609454509146384, 0.0078602773064311085, 0.0078596318668355744, 0.0078590055300067352, 0.0078583948862034278, 0.0078577967283760524, 0.0078572080644030706, 0.0078566261313526391, 0.0078560484119633671, 0.007855472653655186, 0.0078548968905309668, 0.007854319469024703, 0.0078537390781103396, 0.0078531547853312768, 0.0078525660803796665, 0.0078519729285967173, 0.0078513758376543823, 0.0078507759419224436, 0.0078501751107846896, 0.00784957608968718, 0.0078489826863545747, 0.007848400019979225, 0.0078478348591950152, 0.0078472960867792593, 0.0078467953477251509, 0.0078463479666904586, 0.0078459742678918219, 0.0078457015076577943, 0.0078455667594829383, 0.0078456213153372915, 0.0078459375658692394, 0.007846620057844176, 0.00784782383869931, 0.0078497860315734653, 0.0078528825779881264, 0.0078577355688164135, 0.0078654292246704439, 0.0078779789747521495, 0.00789945362183226, 0.0079390230497163247, 0.0080208203326211196, 0.008225388271849713, 0.0089623049490345046, 0.016215370596521912, 0.024701390650431608, 0.0096611288449822801, 0.0085203398714963074, 0.008205934318278903, 0.0080742140983330896, 0.0080059519298899262, 0.0079657067907103665, 0.0079398515256321189, 0.0079222069039609471, 0.0079096274786856682, 0.0079003684993573017, 0.0078933956523073584, 0.0078880623633031961, 0.0078839464950134237, 0.0078807622386187909, 0.0078783099904267892, 0.0078764465386501701, 0.0078750666435891611, 0.007874091277364291, 0.0078734598974317862, 0.007873125240883452, 0.0078730497380949151, 0.0078732029925289819, 0.0078735599781404667, 0.0078740997295087579, 0.0078748043764872312, 0.0078756584237755414, 0.0078766482072978941, 0.0078777614800410612, 0.0078789870939503532, 0.0078803147539949232, 0.0078817348270996488, 0.0078832381932623374, 0.0078848161294595587, 0.0078864602193055439, 0.0078881622831446611, 0.0078899143245172807, 0.0078917084898716579, 0.0078935370390905823, 0.0078953923249255702, 0.0078972667798276608, 0.0078991529089654493, 0.0079010432884516601, 0.0079029305679763923, 0.0079048074771803385, 0.0079066668352063812, 0.0079085015629474092, 0.0079103046975699046, 0.0079120694089397908, 0.0079137890176129225, 0.0079154570140794259, 0.0079170670789725315, 0.007918613103968089, 0.0079200892131134418, 0.0079214897843348318, 0.0079228094708810714, 0.0079240432224693229, 0.0079251863059073644, 0.0079262343249744283, 0.0079271832393532343, 0.0079280293824156856, 0.0079287694776771882, 0.0079294006537481976, 0.007929920457626442, 0.007930326866191004, 0.0079306182957768773, 0.0079307936097291164, 0.0079308521238569008, 0.0079308131110143662, 0.007930696183736546, 0.007930501675414578, 0.0079302301405091511, 0.0079298823527715959, 0.0079294593027695315, 0.0079289621947328179, 0.0079283924427399205, 0.0079277516662689396, 0.0079270416851411306, 0.0079262645138887412, 0.0079254223555818917, 0.0079245175951524558, 0.0079235527922554543, 0.0079225306737106763, 0.0079214541255696672, 0.0079203261848539395, 0.0079191500310126263, 0.0079179289771477267, 0.007916666461056222, 0.0079153660361385731, 0.0079140313622226982, 0.0079126661963529465, 0.0079112743835922719, 0.0079098598478856905, 0.0079084265830321448, 0.007906978643810755, 0.0079055201373064866, 0.0079040552144793545, 0.007902588062020148, 0.0079011228945347206, 0.0078996639470983385, 0.007898215468220551, 0.0078967817132614519, 0.0078953669383396291, 0.0078939753947727086, 0.0078926113240927361, 0.0078912789536795501, 0.0078899824930579211, 0.0078887261309070287, 0.0078875140328346187, 0.0078863503399731229, 0.0078852391684608655, 0.0078841846098788894, 0.007883190732722669, 0.0078822615849984123, 0.007881401198046303, 0.0078806135917076341, 0.0078799027809702635, 0.007879272784247271, 0.0078787276334675461, 0.0078782713861853017, 0.0078779081399482261, 0.0078776420492028092, 0.007877477345060193, 0.0078774183582995087, 0.00787746954604766, 0.0078776355226482069, 0.0078779210953189172, 0.0078783313052999959, 0.0078788714753170019, 0.0078795472643275084, 0.007880364730693314, 0.0078813304051273906, 0.0078824513750136126, 0.0078837353819976273, 0.0078851909351107877, 0.0078868274421312751, 0.0078886553624265346, 0.007890686385183707, 0.007892933637751386, 0.0078954119298281344, 0.0078981380404933126, 0.0079011310566541332, 0.0079044127734706569, 0.0079080081698386651, 0.00791194597522131, 0.0079162593482406448, 0.0079209866927634383, 0.0079261726441434664, 0.0079318692673648345, 0.0079381375208340352, 0.0079450490555617159, 0.0079526884409741559, 0.0079611559377618882, 0.0079705709781330621, 0.0079810765691581582, 0.0079928449123228239, 0.0080060846420695869, 0.0080210502433912118, 0.0080380544371734166, 0.008057484659191802, 0.008079825263797245, 0.0081056878528357485, 0.0081358533240927511, 0.0081713311222731642, 0.0082134442284500786, 0.0082639534749816331, 0.0083252433447479554, 0.0084006063685706529, 0.008494690123999107, 0.008614220788611706, 0.0087692132822879496, 0.0089750696823424677, 0.0092563636365031298, 0.0096539503703322368, 0.010238837839384262, 0.011139780249184876, 0.012595387489619031, 0.015018227482524283, 0.018803192670712322, 0.022634324681930079, 0.021981737735753518, 0.017478710437302938, 0.013683869390566669, 0.011424899952177353, 0.010135174402415813, 0.0093712733655343782, 0.0088958646894115086, 0.0085864147791009336, 0.0083775794084606763, 0.0082328834253149689, 0.0081310602943366929, 0.0080592583354989946, 0.0080095212192008696, 0.0079768951021321737, 0.0079583852752120529, 0.0079523842578602452], [0.0079715019364634924, 0.007971450209794631, 0.0079712951578107816, 0.0079710371641651262, 0.0079706768668992463, 0.007970215156383376, 0.0079696531724547312, 0.0079689923007750241, 0.0079682341684347378, 0.007967380638837139, 0.0079664338058999268, 0.0079653959876179459, 0.0079642697190347809, 0.0079630577446752789, 0.0079617630104949644, 0.0079603886554062541, 0.0079589380024441547, 0.0079574145496371512, 0.0079558219606520736, 0.0079541640552834737, 0.0079524447998611733, 0.0079506682976510524, 0.0079488387793276022, 0.0079469605935983227, 0.0079450381980638047, 0.0079430761504008882, 0.007941079099960377, 0.0079390517798772712, 0.0079369989997981633, 0.0079349256393400867, 0.0079328366424074315, 0.0079307370125081544, 0.0079286318092311615, 0.0079265261460712416, 0.0079244251898204759, 0.0079223341617856383, 0.0079202583411440708, 0.0079182030708170557, 0.0079161737663255554, 0.0079141759282038288, 0.007912215158688167, 0.0079102971835822416, 0.0079084278804398868, 0.0079066133145189801, 0.0079048597843716477, 0.0079031738794805659, 0.0079015625530769185, 0.0079000332142498356, 0.0078985938447755939, 0.007897253147894568, 0.0078960207387424718, 0.0078949073895901185, 0.0078939253478915467, 0.007893088752027896, 0.007892414179541677, 0.0078919213770940379, 0.0078916342427120274, 0.0078915821628965654, 0.0078918018559626189, 0.0078923399487299522, 0.0078932566335620565, 0.0078946309465606559, 0.0078965685285032564, 0.0078992132750399201, 0.0079027652356006058, 0.0079075088419780105, 0.0079138587739287832, 0.0079224370744230468, 0.007934208057856669, 0.007950725602496423, 0.0079746124222127152, 0.0080105540291097836, 0.0080675413114195387, 0.0081645068396910565, 0.0083466817124954618, 0.008743731276167779, 0.0098519058608257243, 0.014913126541498428, 0.067074065167062977, 0.019391888635941015, 0.011115810141386408, 0.0094377373678620827, 0.0088355194510506066, 0.0085523721290630267, 0.0083972741165400742, 0.0083039060722806986, 0.0082442514196237361, 0.00820478702730712, 0.0081783278441974108, 0.0081607741492858432, 0.0081496590133520851, 0.0081434406421997431, 0.008141133181342658, 0.0081421034797951146, 0.0081459546509357085, 0.0081524577359626989, 0.0081615115943805775, 0.0081731204620578424, 0.008187383523915048, 0.0082044936303081809, 0.0082247440427930894, 0.0082485434069153665, 0.0082764403780626224, 0.0083091607672995602, 0.0083476620653954343, 0.0083932132398392666, 0.0084475126102552932, 0.0085128648793237009, 0.0085924528177974465, 0.0086907650974752809, 0.0088142902573746292, 0.0089726805274902947, 0.0091807770858875534, 0.0094622773251112659, 0.0098566461812366161, 0.010432565948242713, 0.011314053724198395, 0.012724214522268429, 0.014993055683314636, 0.018050426848524311, 0.019382766553152186, 0.016321324876942829, 0.012552249705574994, 0.01030031628953383, 0.00913749121202697, 0.0085340690432730796, 0.0082176714346541141, 0.0080632233471332158, 0.008016779680541446, 0.0080331795751150334, 0.0080853488517801629, 0.0081831369690831979, 0.0083465175118022823, 0.0086125655439119528, 0.0090488406174204245, 0.009775076288865571, 0.010975884519041948, 0.012780030425676433, 0.014688489368292928, 0.015249112695839501, 0.014128077954734595, 0.012581702427784149, 0.01134608404483378, 0.010485513808233669, 0.0098969543821905825, 0.0094867294256051251, 0.0091925049416587135, 0.008975254108957503, 0.0088105066996176373, 0.008682594898545096, 0.008581217332151423, 0.0084994156404393471, 0.0084323678188127065, 0.0083766527637869903, 0.0083297908675787659, 0.0082899498925153199, 0.0082557521726809302, 0.0082261454161863604, 0.0082003143397181774, 0.0081776190810037893, 0.0081575515238372868, 0.0081397038278538218, 0.0081237454169773328, 0.0081094059235476256, 0.008096462387572027, 0.0080847295376413331, 0.0080740523319667076, 0.0080643001765575862, 0.0080553624016098981, 0.0080471446914948258, 0.0080395662444112757, 0.008032557495363855, 0.0080260582777095472, 0.008020016328846644, 0.0080143860679606424, 0.0080091275903504677, 0.0080042058353129303, 0.0079995898939805212, 0.0079952524306832074, 0.0079911691969133721, 0.0079873186212312871, 0.0079836814617623795, 0.0079802405105325411, 0.0079769803409325945, 0.0079738870912231079, 0.0079709482782818579, 0.0079681526368300653, 0.0079654899802060562, 0.0079629510794280208, 0.0079605275578346953, 0.0079582117990392581, 0.0079559968662975059, 0.0079538764316925813, 0.0079518447137871488, 0.0079498964226004231, 0.0079480267109386243, 0.0079462311312513724, 0.0079445055973060719, 0.0079428463500737304, 0.0079412499273044286, 0.0079397131363429085, 0.0079382330297957365, 0.0079368068837132304, 0.0079354321779940944, 0.0079341065787580187, 0.0079328279224644919, 0.0079315942015836319, 0.0079304035516490397, 0.00792925423954342, 0.0079281446528856915, 0.0079270732904038171, 0.0079260387531913095, 0.0079250397367568656, 0.0079240750237872647, 0.0079231434775523038, 0.007922244035888747, 0.0079213757057068727, 0.0079205375579695838, 0.0079197287230993139, 0.007918948386772498, 0.0079181957860659808, 0.00791747020592291, 0.0079167709759095269, 0.0079160974672366196, 0.0079154490900225014, 0.0079148252907762316, 0.0079142255500823325, 0.0079136493804695899, 0.0079130963244487037, 0.0079125659527045488, 0.0079120578624304605, 0.007911571675793155, 0.007911107038517497, 0.0079106636185821717, 0.0079102411050172242, 0.0079098392067959294, 0.007909457651813839, 0.0079090961859485699, 0.0079087545721944919, 0.0079084325898670822, 0.0079081300338719671, 0.0079078467140344527, 0.0079075824544855011, 0.0079073370931005155, 0.0079071104809878175, 0.0079069024820237321, 0.0079067129724317356, 0.0079065418404033177, 0.0079063889857583364, 0.0079062543196431433, 0.0079061377642645966, 0.0079060392526587552, 0.0079059587284928297, 0.0079058961458993646, 0.0079058514693417584, 0.0079058246735104424, 0.0079058157432490891, 0.0079058246735104459, 0.0079058514693417618, 0.0079058961458993611, 0.0079059587284928314, 0.0079060392526587604, 0.0079061377642645984, 0.0079062543196431502, 0.0079063889857583381, 0.0079065418404033142, 0.0079067129724317391, 0.0079069024820237338, 0.0079071104809878296, 0.0079073370931005173, 0.0079075824544854942, 0.0079078467140344492, 0.0079081300338719653, 0.0079084325898670857, 0.0079087545721944954, 0.007909096185948563, 0.0079094576518138372, 0.0079098392067959381, 0.0079102411050172312, 0.0079106636185821734, 0.0079111070385174936, 0.0079115716757931515, 0.0079120578624304674, 0.0079125659527045436, 0.0079130963244487002, 0.0079136493804695934, 0.0079142255500823256, 0.0079148252907762333, 0.0079154490900225014, 0.0079160974672366179, 0.0079167709759095199, 0.0079174702059229152, 0.007918195786065986, 0.0079189483867725015, 0.0079197287230993174, 0.0079205375579695855, 0.0079213757057068693, 0.0079222440358887487, 0.0079231434775523107, 0.0079240750237872613, 0.0079250397367568656, 0.0079260387531913147, 0.007927073290403824, 0.0079281446528856898, 0.00792925423954342, 0.0079304035516490415, 0.0079315942015836284, 0.0079328279224644901, 0.0079341065787580187, 0.0079354321779940944, 0.0079368068837132322, 0.0079382330297957347, 0.0079397131363429171, 0.0079412499273044251, 0.0079428463500737286, 0.0079445055973060754, 0.0079462311312513741, 0.0079480267109386261, 0.0079498964226004231, 0.0079518447137871505, 0.0079538764316925744, 0.0079559968662975059, 0.0079582117990392581, 0.0079605275578346953, 0.0079629510794280225, 0.0079654899802060614, 0.0079681526368300618, 0.0079709482782818562, 0.0079738870912231113, 0.0079769803409325945, 0.0079802405105325429, 0.0079836814617623725, 0.0079873186212312871, 0.0079911691969133704, 0.0079952524306832039, 0.0079995898939805212, 0.0080042058353129268, 0.0080091275903504643, 0.0080143860679606372, 0.008020016328846637, 0.0080260582777095402, 0.0080325574953638498, 0.0080395662444112809, 0.0080471446914948206, 0.0080553624016098981, 0.0080643001765575879, 0.0080740523319667024, 0.0080847295376413279, 0.0080964623875720062, 0.0081094059235476239, 0.0081237454169772964, 0.0081397038278537923, 0.0081575515238372313, 0.008177619081003713, 0.008200314339718167, 0.0082261454161862684, 0.0082557521726808834, 0.0082899498925152557, 0.0083297908675787451, 0.0083766527637868567, 0.0084323678188127759, 0.0084994156404392552, 0.0085812173321513883, 0.0086825948985453337, 0.0088105066996176599, 0.0089752541089579817, 0.0091925049416590396, 0.0094867294256063047, 0.0098969543821903778, 0.010485513808233853, 0.011346084044836077, 0.012581702427778832, 0.014128077954735783, 0.015249112695833306, 0.014688489368292274, 0.012780030425676136, 0.010975884519042963, 0.0097750762888680672, 0.0090488406174199839, 0.008612565543912416, 0.0083465175118024506, 0.0081831369690832378, 0.0080853488517801751, 0.0080331795751150473, 0.008016779680541453, 0.0080249199449658921, 0.0080500651489467667, 0.0080944998178772709, 0.00816242688845965, 0.0082606518150438631, 0.0083997415401501907, 0.008595896489820164, 0.0088738467351353965, 0.0092709496381181162, 0.0098415818544875036, 0.010656484196977572, 0.011778368339235569, 0.013171929294376597, 0.014535336379737531, 0.015288313499841107, 0.015069893435918495, 0.014151510446789401, 0.013043167093279646, 0.012048740740510828, 0.011252102572724822, 0.010638791896341641, 0.010170064168312641, 0.0098093672815079865, 0.0095282696492326718, 0.0093059986761089477, 0.0091276548796543153, 0.0089825512869393821, 0.0088629588638664408, 0.008763220954076615, 0.0086791422953803026, 0.0086075691011717678, 0.0085460989995858189, 0.0084928787891954197, 0.008446461810692479, 0.0084057061277719777, 0.0083697009384979381, 0.0083377127414259525, 0.0083091454896613431, 0.0082835107663820004, 0.0082604052227190604, 0.0082394933368867482, 0.0082204941136591984, 0.008203170731142068, 0.0081873224132336785, 0.0081727779981578333, 0.0081593908106383593, 0.0081470345442800299, 0.0081355999328401735, 0.0081249920420856832, 0.0081151280532397747, 0.0081059354384106566, 0.0080973504505391144, 0.0080893168672167299, 0.0080817849405834009, 0.0080747105154139638, 0.0080680542851764014, 0.0080617811618285545, 0.0080558597398161253, 0.0080502618384393071, 0.0080449621096952816, 0.008039937701049174, 0.00803516796446491, 0.0080306342045424108, 0.0080263194598322544, 0.0080222083123954405, 0.008018286721488594, 0.0080145418779220146, 0.0080109620761857243, 0.0080075366018927518, 0.0080042556324636267, 0.0080011101492894442, 0.0079980918598714385, 0.0079951931286536895, 0.0079924069154494685, 0.0079897267205163939, 0.0079871465354666334, 0.0079846607993092032, 0.0079822643590160159, 0.0079799524340835436, 0.0079777205846308808, 0.007975564682633756, 0.0079734808859447583, 0.0079714656147936089, 0.007969515530498697, 0.0079676275161539561, 0.0079657986590829545, 0.0079640262348769208, 0.0079623076928543417, 0.0079606406427987064, 0.0079590228428469169, 0.0079574521884153062, 0.0079559267020624432, 0.0079544445241990867, 0.0079530039045651053, 0.0079516031944016907, 0.0079502408392548886, 0.0079489153723526929, 0.0079476254085042962, 0.007946369638474976, 0.007945146823794812, 0.0079439557919635945, 0.0079427954320179031, 0.0079416646904296399, 0.0079405625673081778, 0.0079394881128809682, 0.0079384404242298229, 0.0079374186422619085, 0.0079364219488968924, 0.0079354495644529295, 0.0079345007452158271, 0.0079335747811772259, 0.0079326709939287945, 0.007931788734700464, 0.0079309273825319479, 0.0079300863425675189, 0.0079292650444649868, 0.0079284629409104353, 0.0079276795062311837, 0.0079269142350997558, 0.0079261666413225143, 0.0079254362567069327, 0.0079247226300020006, 0.0079240253259067576, 0.0079233439241422014, 0.0079226780185823985, 0.0079220272164405789, 0.0079213911375068148, 0.0079207694134336686, 0.00791898685107356, 0.0079173212280805663, 0.0079157641661359215, 0.0079143079007988129, 0.0079129451898654456, 0.0079116692379667709, 0.0079104736346947077, 0.0079093523040511364, 0.0079082994634173173, 0.0079073095905653965, 0.0079063773974951297, 0.0079054978100917099, 0.0079046659527740558, 0.007903877137445935, 0.0079031268561807859, 0.0079024107771709148, 0.0079017247435565745, 0.0079010647748249362, 0.0079004270705356951, 0.0078998080161927376, 0.0078992041911428862, 0.0078986123784466275, 0.0078980295767358266, 0.0078974530141539476, 0.0078968801645715389, 0.0078963087663903309, 0.0078957368444034573, 0.0078951627353801984, 0.0078945851183096789, 0.0078940030505944368, 0.0078934160119691794, 0.007892823958583952, 0.0078922273906120687, 0.0078916274380343363, 0.007891025971081848, 0.0078904257444471076, 0.0078898305881925871, 0.0078892456639140483, 0.0078886778131345078, 0.0078881360376982061, 0.0078876321717188148, 0.0078871818358151932, 0.0078868058145354792, 0.007886532080449685, 0.0078863988277988462, 0.0078864591206292394, 0.0078867881939894049, 0.0078874952517412975, 0.0078887431602547176, 0.00789078258630177, 0.0078940138535980899, 0.0078991050967339299, 0.0079072328496050323, 0.0079206122911366292, 0.0079437897952536248, 0.0079872427374887804, 0.0080794529253376095, 0.008320597284489804, 0.0092763289941435595, 0.022928100791711731, 0.017276479262441882, 0.0093559095120177814, 0.0084816235087730157, 0.0082164992010159369, 0.0081003617180243192, 0.0080385853358679298, 0.008001533833578699, 0.0079774400581306519, 0.0079608495206349907, 0.0079489406089106214, 0.0079401287505245152, 0.007933465338202772, 0.0079283526218828122, 0.0079243977376835389, 0.0079213331916903659, 0.0079189712590460176, 0.0079171766739990542, 0.0079158496564597121, 0.0079149150189873115, 0.0079143149774009245, 0.0079140042873047777, 0.0079139468813684069, 0.0079141134985964579, 0.0079144799836739395, 0.0079150260479080112, 0.00791573435388453, 0.0079165898308935275, 0.0079175791573689973, 0.0079186903659107123, 0.0079199125394645419, 0.0079212355761361496, 0.0079226500062880897, 0.0079241468499136446, 0.0079257175053739082, 0.0079273536628127628, 0.0079290472371865983, 0.0079307903170381926, 0.0079325751260289172, 0.007934393994904523, 0.0079362393420683505, 0.0079381036613129022, 0.0079399795155483746, 0.0079418595355866383, 0.0079437364232080795, 0.007945602957867599, 0.0079474520064967344, 0.0079492765359343957, 0.0079510696275779408, 0.007952824493890745, 0.0079545344964368839, 0.0079561931651389185, 0.0079577942184750998, 0.007959331584347069, 0.0079607994213609853, 0.0079621921402748645, 0.0079635044253730664, 0.0079647312555366206, 0.0079658679247862976, 0.007966910062082758, 0.0079678536501783838, 0.0079686950433251434, 0.0079694309836549817, 0.007970058616062781, 0.0079705755014366636, 0.0079709796280978181, 0.007971269421329398, 0.007971443750894423, 0.0079715019364634924, 0.0079714631426804697, 0.0079713468719661562, 0.0079711534558689016, 0.0079708834457857137, 0.00797053761119473, 0.0079701169371967223, 0.0079696226213811887, 0.007969056070037105, 0.0079684188937323101, 0.0079677129022892659, 0.007966940099188663, 0.0079661026754354672, 0.007965203002924982, 0.0079642436273492188, 0.0079632272606859032, 0.0079621567733149223, 0.0079610351858077286, 0.0079598656604374686, 0.0079586514924576118, 0.0079573961011979374, 0.0079561030210268616, 0.0079547758922287951, 0.0079534184518454919, 0.0079520345245290627, 0.0079506280134541904, 0.0079492028913360369, 0.0079477631915991585, 0.0079463129997417881, 0.0079448564449388429, 0.0079433976919257455, 0.0079419409332042792, 0.0079404903816108641, 0.0079390502632866178, 0.0079376248110887854, 0.0079362182584823745, 0.0079348348339512327, 0.0079334787559689288, 0.0079321542285704112, 0.0079308654375676562, 0.0079296165474549915, 0.0079284116990529542, 0.0079272550079440597, 0.0079261505637588207, 0.0079251024303771019, 0.0079241146471175916, 0.0079231912309973805, 0.0079223361801549711, 0.0079215534785428542, 0.0079208471020113386, 0.0079202210259231905, 0.0079196792344596537, 0.0079192257318030177, 0.0079188645554093776, 0.0079185997916186111, 0.0079184355938872585, 0.0079183762039755686, 0.0079184259764724547, 0.0079185894071041631, 0.0079188711653448395, 0.0079192761319318763, 0.007919809441988987, 0.0079204765345777493, 0.0079212832096371422, 0.0079222356934359559, 0.007923340713858671, 0.0079246055870795841, 0.0079260383174596903, 0.0079276477128373754, 0.0079294435177895799, 0.0079314365679315282, 0.0079336389689204489, 0.0079360643045590599, 0.0079387278792905826, 0.0079416470014825186, 0.0079448413152673307, 0.0079483331904166427, 0.0079521481818679504, 0.0079563155732239391, 0.0079608690219712935, 0.0079658473285415341, 0.0079712953569598052, 0.0079772651421062112, 0.0079838172281023953, 0.007991022294800483, 0.0079989631458552493, 0.0080077371538972326, 0.008017459288009697, 0.0080282658890735333, 0.008040319413963307, 0.0080538144464676279, 0.0080689853806689762, 0.0080861163356191375, 0.0081055540801840097, 0.0081277250674321004, 0.0081531581514579336, 0.008182515269891678, 0.0082166334585436103, 0.008256583245532835, 0.0083037511299467303, 0.0083599581371246665, 0.0084276335065872135, 0.008510074471870006, 0.0086118436207544159, 0.0087393915655850102, 0.0089020580424924636, 0.0091137245479981383, 0.0093956126951591241, 0.0097811178371464066, 0.010324184244845661, 0.011113151401868557, 0.012288841179317035, 0.014040504144365034, 0.016437064931845019, 0.018742062647776139, 0.018942640539973198, 0.016536196428267282, 0.01366418629807014, 0.011576267306599988, 0.010257684653453855, 0.0094393594646067953, 0.0089208675782997543, 0.008583140694847835, 0.0083581280514880632, 0.0082065554395126493, 0.0081053174085484805, 0.0080406858044716843, 0.0080046716694455108, 0.0079930997342226428], [0.0080073069805106367, 0.0080072555652191749, 0.0080071014465291322, 0.00800684500558114, 0.0080064868762380389, 0.0080060279430383356, 0.0080054693383529024, 0.0080048124387659784, 0.0080040588607078345, 0.0080032104553720059, 0.0080022693029547613, 0.0080012377062600292, 0.0080001181837173821, 0.0079989134618648223, 0.0079976264673521109, 0.007996260318524134, 0.0079948183166467512, 0.0079933039368403746, 0.0079917208187896861, 0.0079900727572995867, 0.0079883636927705476, 0.0079865977016678504, 0.0079847789870627003, 0.0079829118693245417, 0.0079810007770477094, 0.0079790502382988196, 0.0079770648722754297, 0.0079750493814726015, 0.0079730085444605515, 0.0079709472093858862, 0.0079688702883207608, 0.0079667827525985273, 0.0079646896292941954, 0.0079625959990318844, 0.0079605069953326436, 0.0079584278057551368, 0.0079563636751327875, 0.0079543199112746422, 0.0079523018935798943, 0.0079503150851216904, 0.0079483650488916188, 0.0079464574690719953, 0.0079445981784311715, 0.0079427931932343418, 0.0079410487574527733, 0.0079393713985694125, 0.0079377679979637013, 0.0079362458797749957, 0.0079348129233806509, 0.0079334777063075328, 0.0079322496867046538, 0.0079311394377049541, 0.0079301589504835231, 0.0079293220291591551, 0.00792864480976232, 0.0079281464486527179, 0.007927850045108575, 0.007927783891647177, 0.0079279831893216152, 0.0079284924325619816, 0.007929368773840267, 0.0079306868478629233, 0.007932545812722562, 0.0079350798321885727, 0.0079384740297579956, 0.0079429893822793272, 0.0079490026731644271, 0.007957072717335683, 0.0079680543006898173, 0.0079833029406804513, 0.0080050623668641123, 0.0080372448909087728, 0.0080871282760318491, 0.0081694209323941933, 0.0083173174869131741, 0.0086182808496893231, 0.0093637021032863463, 0.012004621495674791, 0.03261347572197397, 0.036210764737627944, 0.013252215034460731, 0.010106685118130463, 0.0091588269003957442, 0.0087513891487221059, 0.0085397367331188495, 0.0084165534335021407, 0.0083395646529822662, 0.0082893373271381073, 0.008255911993194618, 0.0082337617000994689, 0.0082196342603708672, 0.0082115354682201821, 0.0082082128554011695, 0.0082088780590652399, 0.0082130512156518218, 0.008220471873090841, 0.0082310486143850493, 0.0082448330513625531, 0.0082620108929359701, 0.0082829068613750733, 0.0083080029826590844, 0.0083379721395209234, 0.0083737314275950884, 0.0084165235241774623, 0.0084680400348318141, 0.0085306104894919028, 0.0086074978545458529, 0.0087033731979508505, 0.0088251033682790105, 0.0089831089708590304, 0.0091938113292731501, 0.0094842713668961149, 0.0099015047787245174, 0.010532396359908641, 0.011548861001820974, 0.013312104568095928, 0.016562691310058563, 0.022049887063540038, 0.025469226920304806, 0.019879384514186419, 0.013989333730693778, 0.011020260859341709, 0.0096067133800598562, 0.0088859990345394515, 0.0084922192771910085, 0.0082676267810061072, 0.0081396233444023178, 0.0080733585237541573, 0.0080528249604869505, 0.0080601071212671183, 0.0080828823052300006, 0.0081241611742234893, 0.0081897995216385095, 0.0082901211649575347, 0.0084431519919964167, 0.0086811488949838349, 0.0090642243638605225, 0.0097094160252175175, 0.010849496412834603, 0.012905963615734125, 0.01620778096640928, 0.0190588811531732, 0.018024837950946643, 0.014991442184720984, 0.012639366921392803, 0.01118458886403203, 0.010292695335599794, 0.0097226409620352061, 0.0093403354380458322, 0.0090724881060226144, 0.0088776787032385247, 0.0087314507360396736, 0.0086187301470951518, 0.0085298559306004728, 0.0084584183544083938, 0.0084000334241961655, 0.008351621401283503, 0.0083109671797375415, 0.0082764439546083521, 0.0082468346071618553, 0.0082212133137778594, 0.0081988652752075491, 0.0081792311664025952, 0.0081618679736936654, 0.0081464209148794219, 0.0081326029930799681, 0.008120179897406472, 0.008108958706665002, 0.008098779336638523, 0.008089507992701063, 0.0080810321060352276, 0.0080732563798792695, 0.0080660996750372884, 0.0080594925361598818, 0.0080533752117337952, 0.008047696057736824, 0.0080424102418439232, 0.0080374786848582437, 0.0080328671907186674, 0.0080285457274198013, 0.008024487829470071, 0.0080206700988194393, 0.0080170717860207907, 0.0080136744371194172, 0.0080104615946637522, 0.0080074185434976086, 0.0080045320937780079, 0.0080017903950748426, 0.0079991827765320631, 0.0079966996089692547, 0.0079943321855255375, 0.007992072618031771, 0.0079899137467713908, 0.0079878490616768025, 0.0079858726333252028, 0.0079839790523575493, 0.0079821633761600081, 0.0079804210818246978, 0.0079787480245550099, 0.0079771404008043053, 0.0079755947155401054, 0.0079741077531132222, 0.0079726765512840147, 0.0079712983780204361, 0.0079699707107345544, 0.0079686912176692836, 0.0079674577411847289, 0.0079662682827263825, 0.0079651209892850697, 0.007964014141182656, 0.0079629461410379576, 0.0079619155037852947, 0.0079609208476333418, 0.0079599608858654525, 0.0079590344193940666, 0.0079581403299921281, 0.0079572775741329621, 0.0079564451773780197, 0.007955642229258663, 0.0079548678786037375, 0.007954121329270418, 0.0079534018362398574, 0.0079527087020437141, 0.0079520412734908064, 0.0079513989386665804, 0.0079507811241806975, 0.0079501872926407788, 0.0079496169403321919, 0.0079490695950862455, 0.0079485448143203647, 0.0079480421832358629, 0.0079475613131601702, 0.0079471018400213769, 0.0079466634229446893, 0.0079462457429607704, 0.0079458485018172997, 0.0079454714208857229, 0.0079451142401559868, 0.0079447767173126058, 0.0079444586268862961, 0.0079441597594755876, 0.0079438799210336773, 0.007943618932216092, 0.0079433766277851228, 0.0079431528560674706, 0.0079429474784618558, 0.0079427603689936205, 0.0079425914139138794, 0.0079424405113405882, 0.007942307570939857, 0.0079421925136452277, 0.0079420952714137419, 0.0079420157870171808, 0.0079419540138673077, 0.0079419099158742328, 0.007941883467337079, 0.0079418746528662713, 0.0079418834673370808, 0.0079419099158742346, 0.0079419540138673042, 0.0079420157870171825, 0.0079420952714137488, 0.0079421925136452312, 0.0079423075709398657, 0.0079424405113405899, 0.0079425914139138725, 0.0079427603689936239, 0.0079429474784618505, 0.0079431528560674793, 0.0079433766277851262, 0.0079436189322160903, 0.0079438799210336739, 0.0079441597594755858, 0.007944458626886303, 0.007944776717312611, 0.0079451142401559798, 0.0079454714208857229, 0.0079458485018173049, 0.0079462457429607773, 0.0079466634229446928, 0.0079471018400213735, 0.0079475613131601702, 0.0079480421832358664, 0.0079485448143203595, 0.0079490695950862438, 0.0079496169403321972, 0.0079501872926407684, 0.007950781124180701, 0.0079513989386665786, 0.0079520412734908064, 0.0079527087020437089, 0.0079534018362398609, 0.0079541213292704232, 0.007954867878603741, 0.0079556422292586648, 0.007956445177378018, 0.0079572775741329604, 0.0079581403299921315, 0.0079590344193940718, 0.0079599608858654473, 0.0079609208476333383, 0.0079619155037852982, 0.0079629461410379611, 0.007964014141182656, 0.0079651209892850714, 0.007966268282726386, 0.0079674577411847254, 0.0079686912176692801, 0.0079699707107345544, 0.0079712983780204326, 0.0079726765512840164, 0.0079741077531132222, 0.0079755947155401141, 0.0079771404008043018, 0.0079787480245550099, 0.0079804210818246978, 0.007982163376160015, 0.0079839790523575527, 0.0079858726333252045, 0.0079878490616768043, 0.0079899137467713856, 0.0079920726180317692, 0.0079943321855255375, 0.0079966996089692564, 0.0079991827765320666, 0.008001790395074846, 0.008004532093778001, 0.0080074185434976086, 0.0080104615946637574, 0.0080136744371194155, 0.008017071786020789, 0.0080206700988194341, 0.0080244878294700693, 0.0080285457274198013, 0.0080328671907186656, 0.008037478684858242, 0.0080424102418439197, 0.0080476960577368223, 0.00805337521173379, 0.0080594925361598801, 0.0080660996750372832, 0.0080732563798792643, 0.0080810321060352311, 0.008089507992701056, 0.0080987793366385265, 0.0081089587066650003, 0.0081201798974064598, 0.0081326029930799664, 0.0081464209148794011, 0.0081618679736936688, 0.0081792311664025449, 0.0081988652752075161, 0.0082212133137777883, 0.0082468346071617512, 0.0082764439546083365, 0.008310967179737408, 0.0083516214012834492, 0.0084000334241960926, 0.0084584183544083626, 0.0085298559306002872, 0.0086187301470952334, 0.0087314507360395401, 0.0088776787032385108, 0.0090724881060230429, 0.0093403354380459085, 0.0097226409620362522, 0.01029269533560077, 0.011184588864035064, 0.012639366921392704, 0.014991442184721022, 0.018024837950954182, 0.019058881153172079, 0.016207780966407754, 0.012905963615740406, 0.01084949641283073, 0.0097094160252175245, 0.0090642243638608799, 0.0086811488949845167, 0.0084431519919963213, 0.0082901211649576683, 0.0081897995216385529, 0.0081241611742234945, 0.0080828823052300006, 0.0080601071212671235, 0.0080528249604869574, 0.0080564472275848533, 0.0080675419831086372, 0.0080868198351213109, 0.0081155593665293117, 0.0081557676903540443, 0.0082104491960056526, 0.0082840415438727132, 0.0083831226904080812, 0.0085175720921203315, 0.0087025120528538176, 0.0089616089672000937, 0.009332733470149953, 0.0098774942247588614, 0.010695843741841227, 0.011940632789473235, 0.013793388042776024, 0.016254946403568227, 0.018574037806029887, 0.019203391345780575, 0.017766062363180291, 0.01558687445530247, 0.013688344432479595, 0.012290987424258805, 0.011305580581319453, 0.010608169116689332, 0.010104804777335528, 0.0097327170901495355, 0.009451081351804844, 0.0092331923375210817, 0.0090612710392980814, 0.008923224722698379, 0.0088106456146311938, 0.0087175632302555241, 0.0086396533491792521, 0.008573726606342421, 0.0085173911496698625, 0.00846882571285619, 0.0084266240887167134, 0.0083896866528944472, 0.0083571434566640859, 0.0083282988659992719, 0.0083025911437678672, 0.0082795625521224093, 0.0082588369657735985, 0.0082401029182696591, 0.0082231006265713006, 0.0082076119621827173, 0.0081934526281281731, 0.008180466003882057, 0.0081685182634292745, 0.008157494473704785, 0.0081472954542702557, 0.0081378352327109403, 0.0081290389696749427, 0.0081208412567495177, 0.0081131847122794896, 0.0081060188167683175, 0.0080992989420773601, 0.0080929855382711711, 0.0080870434493872795, 0.0080814413351794571, 0.0080761511803909836, 0.0080711478766595287, 0.0080664088649568203, 0.0080619138286941155, 0.0080576444294042371, 0.008053584078341048, 0.0080497177384902981, 0.008046031752421837, 0.0080425136921739963, 0.0080391522279844446, 0.0080359370131927697, 0.0080328585830616531, 0.0080299082656123365, 0.0080270781028596288, 0.0080243607810730685, 0.0080217495688925267, 0.0080192382622960353, 0.0080168211355597825, 0.0080144928974706479, 0.0080122486521532251, 0.0080100838639598024, 0.0080079943259452977, 0.0080059761315116468, 0.0080040256488603211, 0.0080021394979371187, 0.0080003145295935527, 0.0079985478067227909, 0.0079968365871579978, 0.0079951783081461062, 0.007993570572232522, 0.0079920111344111647, 0.0079904978904113706, 0.0079890288660075578, 0.0079876022072504181, 0.0079862161715297999, 0.0079848691193889227, 0.0079835595070185846, 0.0079822858793674751, 0.0079810468638113752, 0.0079798411643300961, 0.007978667556146242, 0.007977524880784426, 0.0079764120415139004, 0.0079753279991410485, 0.0079742717681216893, 0.0079732424129656896, 0.0079722390449095317, 0.0079712608188342981, 0.0079703069304089148, 0.0079693766134402676, 0.0079684691374135828, 0.0079675838052077775, 0.0079667199509720985, 0.0079658769381513277, 0.007965054157648201, 0.0079642510261124302, 0.0079634669843468269, 0.007962701495821704, 0.0079619540452895154, 0.0079612241374924283, 0.0079605112959559594, 0.0079598150618625952, 0.0079591349929995555, 0.0079584706627756109, 0.007957821659301912, 0.0079571875845326125, 0.0079565680534609846, 0.0079547930524930203, 0.0079531361874758868, 0.0079515887781585939, 0.0079501428125084272, 0.0079487908449480029, 0.0079475259128466615, 0.0079463414681230325, 0.0079452313214186786, 0.0079441895967811756, 0.0079432106951759195, 0.0079422892654514403, 0.0079414201816294799, 0.0079405985255907707, 0.0079398195743909383, 0.0079390787915753994, 0.0079383718219745054, 0.007937694489555119, 0.0079370427979870845, 0.0079364129336564424, 0.0079358012709250265, 0.0079352043795020873, 0.0079346190338614626, 0.0079340422247110524, 0.007933471172605587, 0.0079329033438940381, 0.0079323364693177009, 0.0079317685657338474, 0.007931197961646725, 0.0079306233275018654, 0.0079300437120675658, 0.0079294585867275957, 0.007928867900196486, 0.0079282721471235808, 0.0079276724553935841, 0.0079270706988376557, 0.0079264696448115481, 0.007925873150093769, 0.0079252864244621669, 0.0079247163901658407, 0.0079241721790130944, 0.0079236658297493611, 0.0079232132815379736, 0.0079228358128871357, 0.0079225621638588702, 0.0079224317294899274, 0.0079224994743100248, 0.0079228436899063809, 0.0079235785995125201, 0.0079248755309402705, 0.007926999885144009, 0.0079303786908467774, 0.0079357309472804435, 0.0079443362940285669, 0.0079586362307109675, 0.0079837287189183509, 0.0080316424279554266, 0.00813623115109385, 0.0084236318295774649, 0.009698096926487031, 0.040283656915260861, 0.013848365321718781, 0.0091374939564869539, 0.0084518987931606927, 0.0082261689666687839, 0.008123218422618048, 0.0080671174443924746, 0.0080329231892943033, 0.008010430531359608, 0.0079948096034102162, 0.0079835232360039813, 0.0079751296122886357, 0.0079687573971755181, 0.0079638532773885131, 0.0079600512425742759, 0.007957100712533036, 0.0079548249960571301, 0.007953096245560556, 0.0079518198008703897, 0.0079509240906683841, 0.0079503539376598025, 0.0079500660116754353, 0.0079500256746809182, 0.00795020474940486, 0.0079505799140548537, 0.0079511315297116358, 0.0079518427720503826, 0.0079526989805985791, 0.0079536871658282809, 0.0079547956323650741, 0.007956013688738545, 0.0079573314224260817, 0.0079587395247346943, 0.007960229154148896, 0.0079617918296868775, 0.0079634193479104082, 0.0079651037187681208, 0.0079668371165812733, 0.0079686118433206533, 0.0079704203019513344, 0.0079722549780961716, 0.0079741084286282984, 0.0079759732760768601, 0.0079778422079402941, 0.0079797079801624173, 0.0079815634241500125, 0.007983401456806467, 0.0079852150931283283, 0.0079869974609680702, 0.0079887418176088042, 0.0079904415678294597, 0.0079920902831629882, 0.0079936817220696236, 0.0079952098507609891, 0.0079966688644221955, 0.0079980532085882992, 0.0079993576004393288, 0.0080005770497853304, 0.0080017068795209222, 0.0080027427453359962, 0.0080036806544791905, 0.0080045169833803127, 0.0080052484939498857, 0.0080058723483873457, 0.0080063861223439222, 0.0080067878163034619, 0.008007075865061844, 0.0080072491452055066, 0.0080073069805106367, 0.0080072684202584735, 0.008007152849481735, 0.008006960597766153, 0.0080066922132457571, 0.0080063484608473411, 0.0080059303198486923, 0.0080054389807659235, 0.0080048758415899295, 0.0080042425033957313, 0.0080035407653521705, 0.0080027726191633352, 0.0080019402429758815, 0.008001045994789676, 0.0080000924054116386, 0.0079990821709948114, 0.0079980181452071301, 0.0079969033310749189, 0.0079957408725486161, 0.0079945340458379699, 0.0079932862505651542, 0.0079920010007842913, 0.007990681915915638, 0.0079893327116427951, 0.0079879571908201413, 0.0079865592344374008, 0.0079851427926872533, 0.007983711876180629, 0.007982270547353388, 0.0079808229121069215, 0.0079793731117240082, 0.0079779253151001824, 0.0079764837113300464, 0.0079750525026867653, 0.0079736358980330713, 0.0079722381067012186, 0.0079708633328795259, 0.00796951577054404, 0.0079681995989742075, 0.0079669189788933465, 0.0079656780492767688, 0.0079644809248732573, 0.0079633316944893433, 0.0079622344200904176, 0.0079611931367784567, 0.0079602118537130898, 0.0079592945560507476, 0.0079584452079867144, 0.0079576677569961566, 0.0079569661393838007, 0.0079563442872676894, 0.007955806137140602, 0.0079553556401741974, 0.0079549967744553477, 0.0079547335593728469, 0.0079545700724055288, 0.0079545104686013675, 0.0079545590030810943, 0.0079547200569515426, 0.0079549981670734796, 0.0079553980601978769, 0.0079559246920653734, 0.0079565832921578254, 0.0079573794149005173, 0.0079583189982426836, 0.0079594084306948767, 0.0079606546280799086, 0.0079620651214639196, 0.0079636481579831199, 0.0079654128165769743, 0.007967369140991238, 0.0079695282928351693, 0.007971902727983881, 0.0079745064002267625, 0.0079773549968021173, 0.0079804662113572167, 0.0079838600609714525, 0.0079875592552295198, 0.0079915896269966719, 0.0079959806366141396, 0.0080007659638104949, 0.008005984204858969, 0.0080116796965930565, 0.008017903494076991, 0.0080247145353537826, 0.0080321810352185531, 0.0080403821610087432, 0.0080494100578126018, 0.0080593723094393652, 0.008070394946588481, 0.0080826261471697355, 0.0080962408188654609, 0.0081114463153682866, 0.0081284896218561005, 0.0081476664617831946, 0.0081693329400752378, 0.0081939205683213712, 0.0082219558471257909, 0.0082540860574739864, 0.0082911136106933424, 0.0083340423403340629, 0.0083841406696556105, 0.0084430289411937167, 0.0085128018043178384, 0.0085962021420721048, 0.0086968716996084147, 0.0088197170145875234, 0.0089714496119423243, 0.0091613884387978448, 0.0094026470018958568, 0.0097138426273942931, 0.010121354896510563, 0.010661544187766934, 0.011379987344245421, 0.012317338991697332, 0.013453849054560024, 0.014574199683747761, 0.015144284700874023, 0.014638685492483644, 0.013252086401591289, 0.011701641746705222, 0.010443525883162053, 0.0095525416357233276, 0.0089534688404475978, 0.0085583726898568815, 0.0083022626329633548, 0.008143286661153883, 0.0080565323169571271, 0.0080289617570877964], [0.0081410478576990717, 0.0081409961681760106, 0.0081408412273442504, 0.0081405834180014805, 0.008140223376764965, 0.0081397619920140826, 0.0081392004010319152, 0.0081385399863670698, 0.0081377823714433445, 0.0081369294154503904, 0.0081359832075532223, 0.008134946060464247, 0.0081338205034256553, 0.0081326092746542775, 0.0081313153133050816, 0.0081299417510131249, 0.0081284919030768371, 0.0081269692593482282, 0.0081253774748988369, 0.0081237203605318449, 0.0081220018732138105, 0.0081202261065008545, 0.0081183972810374237, 0.008116519735207153, 0.0081145979160189927, 0.0081126363703149292, 0.008110639736389624, 0.0081086127361182248, 0.0081065601676948741, 0.0081044868990935125, 0.0081023978623740011, 0.0081002980489703977, 0.0080981925061172789, 0.0080960863345931472, 0.0080939846879900679, 0.0080918927737565309, 0.0080898158563097559, 0.0080877592625751022, 0.0080857283903897643, 0.0080837287203094684, 0.0080817658314871997, 0.0080798454224610457, 0.0080779733379063613, 0.0080761556026905414, 0.0080743984649402686, 0.0080727084503191583, 0.0080710924303619199, 0.0080695577085750925, 0.0080681121291772736, 0.0080667642149279961, 0.0080655233426502066, 0.0080643999680271861, 0.008063405915403438, 0.0080625547541642549, 0.0080618622915975789, 0.0080613472241561242, 0.0080610320065948315, 0.0080609440244812213, 0.0080611171947385877, 0.0080615941788015136, 0.0080624294863097939, 0.0080636938955796645, 0.0080654808578862688, 0.0080679159529713461, 0.0080711711467524646, 0.0080754868041708946, 0.0080812065947567305, 0.008088834550749744, 0.0080991316556421888, 0.0081132861351654144, 0.0081332284200873045, 0.0081622480462031199, 0.0082062893868546285, 0.0082769212613719497, 0.0083989514428194686, 0.0086331240020246346, 0.0091599313527864802, 0.010711532099649385, 0.018612272574600127, 0.071619289562892971, 0.018197251623019391, 0.011334915672426569, 0.0097259571242793753, 0.0091122015451866271, 0.0088141731984799424, 0.0086478559569816323, 0.0085467170637996588, 0.008481899961113688, 0.0084392248398201183, 0.0084110697584607284, 0.008393061627189221, 0.008382575004565275, 0.0083779928625591586, 0.0083783192106705144, 0.0083829671827976189, 0.0083916410306127346, 0.008404272300137218, 0.0084209904127040339, 0.0084421182652039389, 0.0084681896519749646, 0.0084999899035449154, 0.008538625737189073, 0.0085856363730994201, 0.0086431674706353781, 0.0087142458439706215, 0.0088032230183138008, 0.008916513740836636, 0.0090638731914311123, 0.0092607081343357867, 0.0095324882654390184, 0.0099237109530221461, 0.010517498830164429, 0.011482099463808449, 0.013190218494211741, 0.016526837215518689, 0.02327315734888008, 0.03129559265101968, 0.025566151364701677, 0.016546902695700864, 0.012242785250840394, 0.010328081301786305, 0.0093889484984691022, 0.0088822810174067797, 0.0085887627980189511, 0.0084106863335758082, 0.0083006304165802805, 0.0082341565348251107, 0.0081984198021249829, 0.0081871377194617529, 0.0081911532819344841, 0.0082035811319839218, 0.0082256349084296482, 0.0082595929395213978, 0.0083092681143424503, 0.0083808827585802274, 0.0084847003906141569, 0.0086381723290999152, 0.0088723119943918578, 0.0092453851723687096, 0.0098741211485731603, 0.011007523476272115, 0.013185712629813582, 0.017304770963806129, 0.022382843720948446, 0.02176749883822969, 0.017006079733368627, 0.013567805512798171, 0.011652069363823599, 0.010565981956315626, 0.0099089899403622984, 0.0094854940437480648, 0.0091974338451175069, 0.0089926557624920109, 0.0088417132158561881, 0.0087270678732577038, 0.008637779911912509, 0.0085667491600312558, 0.0085092073324518, 0.0084618561083986306, 0.0084223544653783781, 0.0083890028903005846, 0.0083605427489426912, 0.0083360252678960009, 0.0083147238518996268, 0.0082960740986800351, 0.0082796319413309481, 0.0082650439119606196, 0.008252025669673476, 0.0082403462640085363, 0.0082298164438579686, 0.0082202798626280094, 0.0082116063854828173, 0.0082036869417007607, 0.0081964295261358708, 0.0081897560646240278, 0.0081835999355530931, 0.0081779039945224161, 0.0081726189881536349, 0.0081677022714241477, 0.0081631167635860622, 0.0081588300930046341, 0.0081548138926250645, 0.0081510432163224792, 0.0081474960528631745, 0.0081441529191465696, 0.0081409965181967088, 0.0081380114503139412, 0.0081351839680903152, 0.008132501767790231, 0.0081299538110167092, 0.0081275301717091686, 0.008125221904416665, 0.0081230209305105418, 0.0081209199395806935, 0.008118912303729714, 0.0081169920028608799, 0.0081151535593687197, 0.0081133919808964068, 0.0081117027100355808, 0.0081100815800182764, 0.0081085247755955363, 0.0081070287984178063, 0.0081055904363326464, 0.0081042067361002789, 0.0081028749790978787, 0.0081015926596440645, 0.0081003574656252526, 0.0080991672611489887, 0.0080980200709856592, 0.0080969140665916334, 0.0080958475535332312, 0.008094818960154234, 0.0080938268273490436, 0.0080928697993209679, 0.0080919466152194457, 0.0080910561015630888, 0.0080901971653661222, 0.0080893687878956771, 0.0080885700189957683, 0.0080877999719207345, 0.0080870578186278373, 0.0080863427854838688, 0.0080856541493458736, 0.008084991233980144, 0.0080843534067877483, 0.0080837400758078867, 0.0080831506869737703, 0.0080825847215978928, 0.0080820416940663598, 0.0080815211497236097, 0.0080810226629310956, 0.0080805458352849104, 0.0080800902939787249, 0.0080796556903001936, 0.0080792416982495893, 0.008078848013270825, 0.0080784743510860166, 0.0080781204466253611, 0.0080777860530450614, 0.008077470940826734, 0.0080771748969522064, 0.0080768977241484075, 0.0080766392401974245, 0.0080763992773073001, 0.0080761776815396411, 0.0080759743122904536, 0.0080757890418209424, 0.0080756217548355793, 0.0080754723481046183, 0.0080753407301291085, 0.0080752268208460574, 0.0080751305513723365, 0.0080750518637856244, 0.0080749907109411226, 0.0080749470563230633, 0.0080749208739300717, 0.0080749121481937716, 0.0080749208739300752, 0.0080749470563230633, 0.0080749907109411191, 0.0080750518637856244, 0.0080751305513723434, 0.0080752268208460626, 0.0080753407301291154, 0.00807547234810462, 0.0080756217548355706, 0.0080757890418209442, 0.0080759743122904501, 0.0080761776815396515, 0.0080763992773073036, 0.0080766392401974228, 0.008076897724148404, 0.0080771748969522047, 0.0080774709408267375, 0.0080777860530450649, 0.0080781204466253576, 0.0080784743510860166, 0.0080788480132708319, 0.0080792416982495945, 0.0080796556903001988, 0.0080800902939787197, 0.0080805458352849087, 0.0080810226629310991, 0.0080815211497236097, 0.0080820416940663546, 0.0080825847215978981, 0.0080831506869737633, 0.0080837400758078885, 0.00808435340678775, 0.008084991233980144, 0.0080856541493458684, 0.0080863427854838757, 0.0080870578186278425, 0.0080877999719207345, 0.0080885700189957735, 0.0080893687878956788, 0.008090197165366117, 0.0080910561015630905, 0.0080919466152194509, 0.0080928697993209626, 0.0080938268273490401, 0.0080948189601542393, 0.0080958475535332364, 0.00809691406659163, 0.0080980200709856592, 0.0080991672611489887, 0.0081003574656252492, 0.0081015926596440593, 0.0081028749790978787, 0.0081042067361002789, 0.0081055904363326482, 0.0081070287984178063, 0.008108524775595545, 0.0081100815800182711, 0.0081117027100355808, 0.0081133919808964138, 0.0081151535593687266, 0.0081169920028608851, 0.008118912303729714, 0.0081209199395806952, 0.0081230209305105348, 0.0081252219044166633, 0.0081275301717091651, 0.0081299538110167109, 0.0081325017677902345, 0.0081351839680903169, 0.008138011450313936, 0.0081409965181967071, 0.0081441529191465731, 0.0081474960528631728, 0.0081510432163224792, 0.0081548138926250575, 0.0081588300930046306, 0.0081631167635860622, 0.008167702271424146, 0.0081726189881536331, 0.0081779039945224126, 0.0081835999355530896, 0.0081897560646240226, 0.0081964295261358674, 0.0082036869417007538, 0.0082116063854828121, 0.0082202798626280129, 0.0082298164438579652, 0.0082403462640085381, 0.0082520256696734743, 0.0082650439119606092, 0.0082796319413309446, 0.0082960740986800108, 0.0083147238518996251, 0.0083360252678959419, 0.0083605427489426495, 0.0083890028903005065, 0.0084223544653782446, 0.0084618561083986011, 0.0085092073324516213, 0.0085667491600311847, 0.0086377799119123962, 0.0087270678732576587, 0.0088417132158558794, 0.0089926557624921584, 0.0091974338451172432, 0.0094854940437479659, 0.0099089899403631346, 0.010565981956315798, 0.011652069363826772, 0.013567805512800665, 0.01700607973338035, 0.02176749883822857, 0.022382843720948443, 0.017304770963800249, 0.013185712629819775, 0.011007523476271479, 0.0098741211485749766, 0.009245385172367563, 0.00887231199439187, 0.0086381723291000124, 0.0084847003906144049, 0.0083808827585801875, 0.0083092681143424954, 0.0082595929395214152, 0.0082256349084296465, 0.0082035811319839235, 0.0081911532819344841, 0.0081871377194617581, 0.0081891377335508875, 0.0081952317891522616, 0.0082057103620032483, 0.0082210869531455129, 0.0082421468264660767, 0.008270025688791538, 0.0083063316763723125, 0.0083533330664742542, 0.008414249490477959, 0.0084937114162893807, 0.0085985016062346438, 0.0087387836078662122, 0.0089301974347921927, 0.0091975449759065121, 0.0095814587806623535, 0.010150702582686933, 0.011024610720797183, 0.012409663217294833, 0.014629013831965578, 0.017967702664391211, 0.021742739607971864, 0.023176591568912119, 0.020891467421142326, 0.017448277924778603, 0.014716177028556411, 0.012875919326250802, 0.011663962702282728, 0.010848566632725192, 0.010281872316489537, 0.0098748806109534917, 0.0095737011234536991, 0.009344868893852552, 0.0091669666272026079, 0.0090258700608834251, 0.0089119996321967605, 0.0088186898962774492, 0.0087411947971281437, 0.0086760640985816765, 0.0086207423310675126, 0.0085733046471449664, 0.0085322790044149478, 0.0084965240395966524, 0.0084651436375781097, 0.0084374261553233389, 0.0084128005119147968, 0.0083908040097919433, 0.0083710584417658884, 0.0083532521339954452, 0.0083371262978528329, 0.0083224645480714822, 0.008309084774182636, 0.0082968327796514689, 0.0082855772620690042, 0.008275205820211521, 0.0082656217542604569, 0.0082567414836929483, 0.0082484924498947947, 0.0082408114019312164, 0.0082336429872710247, 0.0082269385867965936, 0.0082206553467041969, 0.0082147553700176474, 0.0082092050382117331, 0.0082039744394519255, 0.0081990368846357117, 0.0081943684960850867, 0.0081899478566271819, 0.0081857557090867766, 0.0081817746980374813, 0.0081779891471165742, 0.0081743848663832028, 0.0081709489851483751, 0.0081676698064761695, 0.0081645366801843377, 0.0081615398916874502, 0.0081586705644492354, 0.0081559205741601453, 0.0081532824730463083, 0.008150749422956384, 0.008148315136074176, 0.0081459738222728999, 0.0081437201422684072, 0.0081415491658477831, 0.0081394563345499639, 0.008137437428260846, 0.008135488535257104, 0.0081336060252953021, 0.0081317865253949882, 0.0081300268980101491, 0.0081283242213217571, 0.0081266757714177646, 0.0081250790061554983, 0.0081235315505263708, 0.0081220311833644331, 0.0081205758252587395, 0.0081191635275462224, 0.0081177924622754319, 0.0081164609130443145, 0.0081151672666258702, 0.0081139100053049928, 0.0081126876998582516, 0.0081114990031156547, 0.0081103426440499466, 0.0081092174223446022, 0.0081081222033969388, 0.008107055913717031, 0.0081060175366870907, 0.0081050061086497417, 0.0081040207152964731, 0.0081030604883304425, 0.0081021246023802972, 0.0081012122721440469, 0.0081003227497436527, 0.0080994553222731962, 0.0080986093095247944, 0.0080977840618779943, 0.0080969789583396224, 0.0080961934047222885, 0.0080954268319506709, 0.0080946786944858014, 0.0080939484688582961, 0.0080932356523023222, 0.008092539761482765, 0.0080918603313086795, 0.0080911969138267505, 0.0080905490771888237, 0.0080899164046883531, 0.0080892984938607179, 0.0080875295031348632, 0.0080858800798984526, 0.0080843412219703346, 0.0080829046494704897, 0.0080815626925168499, 0.0080803081993511255, 0.0080791344612723033, 0.0080780351514709667, 0.0080770042754198627, 0.0080760361309206493, 0.0080751252762606748, 0.0080742665052171078, 0.0080734548278741658, 0.0080726854564044364, 0.008071953795117142, 0.0080712554342017503, 0.0080705861467007412, 0.0080699418883358968, 0.0080693187998921723, 0.0080687132119363607, 0.0080681216517177468, 0.0080675408521692932, 0.0080669677630040883, 0.0080663995639885366, 0.0080658336805767578, 0.0080652678022181384, 0.008064699903811973, 0.0080641282709944841, 0.0080635515302234489, 0.0080629686850019183, 0.0080623791600952423, 0.0080617828563011411, 0.008061180219315324, 0.0080605723276190883, 0.0080599610062870898, 0.0080593489764574939, 0.0080587400543634911, 0.0080581394199856632, 0.0080575539846556681, 0.0080569929011225921, 0.0080564682816772343, 0.0080559962249941563, 0.0080555983092320555, 0.0080553038033975045, 0.0080551530100086786, 0.0080552024347027122, 0.0080555329908574506, 0.0080562634113816659, 0.00805757293167347, 0.0080597412047454381, 0.0080632219041666276, 0.0080687862684047859, 0.0080778228511127082, 0.008093019228362858, 0.0081200924426350057, 0.0081728798586295174, 0.0082918281135627332, 0.0086376434339603438, 0.010393663918935543, 0.087697842030907899, 0.012122770643539853, 0.009079051403808578, 0.0085308897854917409, 0.0083368763419989257, 0.0082450324719975064, 0.0081938219261573284, 0.0081621174386893019, 0.0081410259540293864, 0.0081262535170837698, 0.0081155105032079712, 0.0081074805306367865, 0.0081013605890870727, 0.0080966368058762363, 0.0080929670481755568, 0.0080901157775536067, 0.0080879161026820804, 0.0080862467472214011, 0.0080850175681892508, 0.0080841601672126638, 0.008083621638044958, 0.0080833603029187261, 0.0080833427433588609, 0.0080835416933520143, 0.0080839345191797661, 0.0080845021060194453, 0.0080852280315152139, 0.0080860979450551197, 0.008087099096689707, 0.0080882199764106995, 0.0080894500358716075, 0.0080907794724462152, 0.0080921990609697479, 0.0080937000223577117, 0.0080952739210509491, 0.0080969125852267242, 0.0080986080451708794, 0.0081003524862794992, 0.0081021382139573588, 0.0081039576282791771, 0.0081058032067322389, 0.0081076674937022464, 0.0081095430956264047, 0.0081114226809386718, 0.0081132989840864127, 0.0081151648130157062, 0.0081170130596144915, 0.0081188367126719622, 0.0081206288729664608, 0.0081223827701347139, 0.0081240917810064348, 0.0081257494491112619, 0.0081273495050831791, 0.0081288858877008631, 0.0081303527653128396, 0.0081317445574050854, 0.0081330559560761368, 0.0081342819471916863, 0.0081354178309982431, 0.0081364592419824969, 0.0081374021677728166, 0.008138242966888639, 0.0081389783851555722, 0.0081396055706170999, 0.0081401220867885603, 0.008140525924116045, 0.0081408155095204163, 0.008140989713926565, 0.0081410478576990717, 0.0081410090917863106, 0.0081408929045997894, 0.0081406996274396119, 0.0081404298112914327, 0.0081400842250625473, 0.0081396638531283632, 0.008139169892204836, 0.0081386037475668725, 0.0081379670286365734, 0.0081372615439690155, 0.0081364892956669165, 0.0081356524732586703, 0.008134753447077217, 0.008133794761179803, 0.0081327791258508867, 0.0081317094097327122, 0.0081305886316288076, 0.008129419952028023, 0.0081282066643964344, 0.0081269521862857123, 0.008125660050306488, 0.0081243338950150144, 0.0081229774557614841, 0.0081215945555471718, 0.0081201890959372112, 0.0081187650480747751, 0.0081173264438410622, 0.0081158773672045399, 0.0081144219458015605, 0.0081129643427892296, 0.008111508749010201, 0.008110059375508117, 0.0081086204464310627, 0.0081071961923603539, 0.0081057908441008845, 0.0081044086269692357, 0.0081030537556164, 0.0081017304294220462, 0.0081004428284987429, 0.0080991951103464004, 0.0080979914071992905, 0.0080968358241115448, 0.0080957324378306706, 0.0080946852965138507, 0.0080936984203476801, 0.0080927758031391246, 0.0080919214149541337, 0.0080911392058902552, 0.0080904331110814055, 0.0080898070570465212, 0.0080892649695095513, 0.0080888107828366394, 0.0080884484512571617, 0.0080881819620596332, 0.0080880153509810659, 0.00808795272004054, 0.0080879982581041274, 0.0080881562645104613, 0.0080884311761346677, 0.0080888275983236023, 0.0080893503401994055, 0.008090004454901838, 0.0080907952854243764, 0.0080917285167969241, 0.0080928102354808334, 0.0080940469969727671, 0.0080954459027653917, 0.0080970146879892572, 0.0080987618212653052, 0.0081006966185371981, 0.0081028293729327044, 0.0081051715030327626, 0.0081077357223137067, 0.0081105362329853305, 0.0081135889479887896, 0.0081169117455613705, 0.0081205247615423956, 0.0081244507255127715, 0.0081287153479641574, 0.0081333477670256123, 0.0081383810648891722, 0.0081438528660400227, 0.0081498060317979886, 0.0081562894686257291, 0.0081633590712971785, 0.0081710788265286927, 0.0081795221082906697, 0.0081887732030421143, 0.0081989291119596557, 0.0082101016883790994, 0.0082224201827998979, 0.0082360342857985339, 0.0082511177821911873, 0.0082678729592760777, 0.0082865359498945808, 0.0083073832398783687, 0.0083307396323521934, 0.0083569880422791915, 0.008386581598228051, 0.0084200586597408845, 0.0084580615225229479, 0.0085013597817434998, 0.0085508795496851107, 0.0086077399516547894, 0.0086732984830260994, 0.0087492067343538441, 0.008837477312268421, 0.0089405607113249696, 0.0090614257678022711, 0.0092036257318572935, 0.0093713070402469227, 0.0095690662021175651, 0.0098014578555596019, 0.010071768192111244, 0.01037936640649211, 0.010714627763349513, 0.011050658613732745, 0.011333559987842174, 0.011480213617076325, 0.011401247377364306, 0.011055744917798928, 0.010497616445441079, 0.0098541591860853376, 0.0092523023962679737, 0.0087681034891783013, 0.008427151065142361, 0.0082280629298177935, 0.0081629241888530775], [0.0082931617347025352, 0.0082931096721226005, 0.0082929536129091649, 0.0082926939422236882, 0.0082923313006129842, 0.0082918665819367351, 0.0082913009304882851, 0.0082906357373300574, 0.0082898726358715223, 0.0082890134967230893, 0.0082880604218642708, 0.0082870157381700459, 0.0082858819903438019, 0.0082846619333093834, 0.008283358524118916, 0.0082819749134367699, 0.0082805144366629481, 0.0082789806047621674, 0.0082773770948677914, 0.0082757077407316654, 0.0082739765230936783, 0.008272187560046362, 0.0082703450974729656, 0.0082684534996388791, 0.0082665172400197308, 0.0082645408924525918, 0.0082625291227005921, 0.0082604866805269066, 0.008258418392380288, 0.0082563291548028959, 0.0082542239286824779, 0.0082521077344841001, 0.0082499856486152653, 0.0082478628011005677, 0.0082457443747711787, 0.0082436356062110423, 0.008241541788749248, 0.0082394682778472381, 0.0082374204993061161, 0.0082354039608170462, 0.0082334242675026446, 0.0082314871422584975, 0.0082295984519122779, 0.0082277642404881175, 0.0082259907712173563, 0.0082242845794001738, 0.0082226525388359364, 0.008221101945355613, 0.0082196406220833747, 0.0082182770525324102, 0.0082170205496539511, 0.0082158814717278334, 0.0082148714998277819, 0.0082140039969878838, 0.0082132944768449068, 0.0082127612205070387, 0.0082124260963504225, 0.0082123156609439033, 0.008212462654436474, 0.0082129080571141776, 0.0082137039563309477, 0.0082149176029690865, 0.008216637245571071, 0.0082189806741265609, 0.0082221079856677586, 0.008226241090606724, 0.0082316942815680288, 0.0082389235310629874, 0.0082486086439467823, 0.008261795455603644, 0.0082801531446182828, 0.008306465074864414, 0.0083456267431712364, 0.0084068408229935054, 0.008508951792921637, 0.0086952264514055938, 0.0090824267902070016, 0.010073922967499861, 0.013806057400082235, 0.044801749665004428, 0.032141317005416954, 0.013623164337013658, 0.010583010378885548, 0.0095996880782943349, 0.0091623099465064761, 0.0089307849748402647, 0.0087946897568808267, 0.0087093867029839917, 0.0086540043645913431, 0.0086177308913649164, 0.0085945386885307312, 0.008580893372237405, 0.0085746640340558806, 0.0085745685134136981, 0.0085798779727062451, 0.008590257425486799, 0.0086056840138866754, 0.0086264152526621396, 0.0086529953055454797, 0.0086862972322562775, 0.0087276073779053165, 0.0087787677282598134, 0.0088424066242999613, 0.0089223135280107509, 0.0090240610933008201, 0.0091560726564302655, 0.0093315334637303071, 0.0095719932002286331, 0.0099145879887161167, 0.010427623947773499, 0.011247270070492168, 0.012672981411751428, 0.01543926092099311, 0.021441721984188002, 0.033071913133897686, 0.034627737332998454, 0.021425067235617913, 0.014341801082348182, 0.011409940032302991, 0.010060533866205642, 0.0093615404376144254, 0.0089650098100671292, 0.0087247976936264786, 0.0085726202528462608, 0.008473766002746505, 0.0084094604987545347, 0.0083691669898994792, 0.0083469834706639649, 0.008339897653083992, 0.0083424284720578223, 0.0083502096486851255, 0.0083638349516040236, 0.0083843928800986303, 0.0084136415944508439, 0.0084543178857073471, 0.008510675965034761, 0.0085894460440110107, 0.0087016042945688727, 0.0088658051002545174, 0.0091154440708466084, 0.009514234508104652, 0.010193282207738357, 0.011445621020085525, 0.013964742221704057, 0.019144538252048621, 0.026087518565468291, 0.02439899645221982, 0.017807675228027675, 0.013794865080979856, 0.011746547617128721, 0.010636078925883904, 0.0099810953025544231, 0.0095655482151235077, 0.0092859672112565062, 0.009088814165921253, 0.0089444026393561762, 0.0088352752816913127, 0.0087506455003764499, 0.0086835639916703657, 0.0086293914744003837, 0.0085849347147841371, 0.008547936840633253, 0.0085167654616617565, 0.0084902156060932179, 0.0084673816273312646, 0.0084475718203848565, 0.0084302502135457195, 0.0084149960766938484, 0.0084014752356463621, 0.0083894194114469568, 0.0083786111137283854, 0.0083688724418668602, 0.0083600566774165736, 0.0083520418981683116, 0.0083447260752583137, 0.0083380232711941695, 0.0083318606641588477, 0.0083261761988396438, 0.0083209167168713429, 0.0083160364577188582, 0.0083114958480756777, 0.0083072605177407464, 0.008303300494591534, 0.0082995895421714358, 0.0082961046115882127, 0.0082928253856069355, 0.0082897338975375778, 0.0082868142111400932, 0.0082840521505709013, 0.008281435071576089, 0.008278951666845006, 0.008276591799784648, 0.0082743463620424795, 0.0082722071509560516, 0.0082701667637892669, 0.0082682185061635025, 0.0082663563125360377, 0.0082645746769384257, 0.0082628685924821758, 0.0082612334983800835, 0.0082596652334302398, 0.0082581599950737935, 0.0082567143032732521, 0.0082553249685717606, 0.0082539890637877075, 0.0082527038988788014, 0.0082514669985757211, 0.008250276082442054, 0.0082491290470642891, 0.0082480239501162081, 0.0082469589960759548, 0.0082459325234035107, 0.0082449429930109997, 0.0082439889778799479, 0.0082430691536976731, 0.0082421822904012003, 0.0082413272445303228, 0.0082405029523036858, 0.0082397084233418738, 0.0082389427349702088, 0.0082382050270421517, 0.0082374944972305169, 0.0082368103967401032, 0.0082361520264000957, 0.0082355187330995575, 0.0082349099065329636, 0.0082343249762266632, 0.0082337634088198303, 0.0082332247055767003, 0.0082327084001088818, 0.0082322140562889612, 0.0082317412663386776, 0.0082312896490760509, 0.0082308588483082697, 0.0082304485313576831, 0.0082300583877099199, 0.0082296881277742224, 0.0082293374817468522, 0.0082290061985694895, 0.0082286940449753446, 0.0082284008046162507, 0.0082281262772648679, 0.0082278702780865867, 0.0082276326369762533, 0.0082274131979554049, 0.0082272118186260765, 0.0082270283696776175, 0.0082268627344435595, 0.0082267148085054705, 0.0082265844993416326, 0.0082264717260180503, 0.0082263764189201942, 0.0082262985195236584, 0.0082262379802023333, 0.00822619476407308, 0.0082261688448758245, 0.0082261602068884384, 0.0082261688448758263, 0.0082261947640730835, 0.0082262379802023333, 0.0082262985195236601, 0.0082263764189202011, 0.0082264717260180538, 0.0082265844993416378, 0.0082267148085054722, 0.0082268627344435543, 0.0082270283696776209, 0.0082272118186260731, 0.0082274131979554153, 0.0082276326369762533, 0.008227870278086585, 0.0082281262772648661, 0.0082284008046162489, 0.0082286940449753498, 0.008229006198569493, 0.0082293374817468505, 0.0082296881277742224, 0.0082300583877099268, 0.0082304485313576849, 0.0082308588483082715, 0.0082312896490760439, 0.0082317412663386741, 0.0082322140562889647, 0.0082327084001088784, 0.008233224705576702, 0.0082337634088198337, 0.0082343249762266563, 0.0082349099065329671, 0.0082355187330995592, 0.0082361520264000974, 0.0082368103967400963, 0.0082374944972305221, 0.0082382050270421569, 0.0082389427349702105, 0.0082397084233418773, 0.0082405029523036875, 0.0082413272445303193, 0.0082421822904012038, 0.00824306915369768, 0.0082439889778799427, 0.0082449429930109997, 0.0082459325234035159, 0.0082469589960759582, 0.0082480239501162081, 0.0082491290470642908, 0.0082502760824420558, 0.0082514669985757193, 0.0082527038988787979, 0.0082539890637877127, 0.0082553249685717606, 0.0082567143032732555, 0.0082581599950737918, 0.0082596652334302485, 0.0082612334983800818, 0.0082628685924821758, 0.0082645746769384309, 0.0082663563125360395, 0.008268218506163506, 0.0082701667637892669, 0.0082722071509560499, 0.0082743463620424743, 0.0082765917997846446, 0.008278951666845006, 0.008281435071576089, 0.0082840521505709031, 0.008286814211140095, 0.008289733897537576, 0.0082928253856069337, 0.0082961046115882179, 0.0082995895421714341, 0.0083033004945915322, 0.008307260517740743, 0.0083114958480756743, 0.0083160364577188582, 0.0083209167168713394, 0.0083261761988396403, 0.0083318606641588407, 0.0083380232711941678, 0.0083447260752583102, 0.0083520418981683098, 0.0083600566774165632, 0.008368872441866855, 0.0083786111137283906, 0.0083894194114469481, 0.0084014752356463621, 0.0084149960766938467, 0.0084302502135457074, 0.008447571820384853, 0.0084673816273312368, 0.0084902156060932144, 0.0085167654616616871, 0.0085479368406331992, 0.008584934714784033, 0.008629391474400205, 0.0086835639916703327, 0.008750645500376214, 0.0088352752816912138, 0.0089444026393560062, 0.0090888141659211732, 0.009285967211255965, 0.0095655482151237956, 0.0099810953025538992, 0.010636078925883575, 0.011746547617130839, 0.013794865080979889, 0.01780767522803833, 0.024398996452227213, 0.026087518565462944, 0.019144538252049439, 0.013964742221703972, 0.011445621020083195, 0.010193282207739884, 0.0095142345081044247, 0.0091154440708472537, 0.0088658051002541184, 0.0087016042945688692, 0.0085894460440110645, 0.0085106759650348685, 0.0084543178857073315, 0.0084136415944508682, 0.008384392880098639, 0.0083638349516040218, 0.0083502096486851255, 0.0083424284720578189, 0.0083398976530839972, 0.0083411592025234241, 0.0083449905557182128, 0.0083515351696422848, 0.0083610436807027427, 0.0083738926905433959, 0.0083906142932660653, 0.0084119402987282953, 0.008438867494354298, 0.0084727540871601271, 0.008515463726372647, 0.0085695841340417481, 0.0086387659544829801, 0.0087282609315966608, 0.0088458008679477129, 0.0090030788134790266, 0.0092183329310260333, 0.0095210251339000185, 0.009960641890703982, 0.010623813969188368, 0.011668057255630247, 0.013384287370039364, 0.016271482768549752, 0.020832389696852034, 0.025853808059322733, 0.026569082660559715, 0.022326644861372376, 0.017808098154308557, 0.014743014000818837, 0.012835911251105649, 0.011630922838375215, 0.010838571721484041, 0.010295266851400484, 0.0099083532980335561, 0.009623633508148894, 0.009408158010413812, 0.0092411274773518768, 0.0091089524860219137, 0.0090024765010823116, 0.0089153587605689359, 0.008843100534042591, 0.0087824404155208563, 0.0087309680956357532, 0.0086868713170553755, 0.0086487662210129618, 0.0086155812005257529, 0.0085864758599608001, 0.0085607834824812379, 0.0085379695351301289, 0.0085176013039193338, 0.0084993253754947085, 0.0084828507313557695, 0.0084679359108032325, 0.0084543791602769511, 0.0084420108000699892, 0.008430687255187426, 0.0084202863477086179, 0.0084107035544184489, 0.0084018490095375993, 0.0083936450873496101, 0.0083860244396535121, 0.008378928392554259, 0.0083723056291058265, 0.0083661111008315938, 0.0083603051236312217, 0.0083548526230990648, 0.0083497225015835771, 0.0083448871049640848, 0.0083403217715134828, 0.0083360044486558271, 0.0083319153661355269, 0.0083280367562608964, 0.0083243526135928538, 0.0083208484878168967, 0.0083175113046367495, 0.008314329210416728, 0.0083112914370217124, 0.0083083881838920803, 0.0083056105148728541, 0.0083029502677123366, 0.0083003999744725391, 0.0082979527913643446, 0.0082956024367455781, 0.0082933431362079042, 0.0082911695738353986, 0.0082890768488500244, 0.0082870604369697544, 0.0082851161558995887, 0.0082832401344545871, 0.0082814287848821944, 0.0082796787780080525, 0.0082779870208792624, 0.0082763506366205167, 0.0082747669462551153, 0.0082732334522736747, 0.0082717478237601255, 0.0082703078829079978, 0.0082689115927796104, 0.00826755704617862, 0.0082662424555212752, 0.0082649661436049147, 0.0082637265351838754, 0.0082625221492729738, 0.0082613515921075593, 0.0082602135506968915, 0.0082591067869144576, 0.0082580301320748627, 0.0082569824819519414, 0.0082559627921980176, 0.008254970074127798, 0.0082540033908343139, 0.0082530618536076367, 0.00825214461862998, 0.0082512508839231689, 0.0082503798865271403, 0.0082495308998898551, 0.0082487032314510628, 0.008247896220403856, 0.0082471092356196166, 0.0082463416737230521, 0.0082455929573053994, 0.0082448625332648857, 0.0082441498712644591, 0.0082434544622977512, 0.0082427758173549276, 0.0082421134661809729, 0.0082414669561192751, 0.0082408358510343682, 0.0082402197303078871, 0.0082384572816295316, 0.0082368158548030094, 0.0082352861148604142, 0.0082338595055982157, 0.0082325281260068554, 0.0082312846295026082, 0.0082301221418087586, 0.0082290341941735744, 0.0082280146692693835, 0.0082270577576327702, 0.0082261579229135698, 0.0082253098745250046, 0.0082245085465468999, 0.0082237490819436435, 0.0082230268213287303, 0.0082223372956479693, 0.0082216762222699375, 0.0082210395040716745, 0.0082204232311941742, 0.0082198236852206799, 0.0082192373456053056, 0.0082186608982540918, 0.0082180912462398725, 0.0082175255227215447, 0.0082169611062438055, 0.0082163956387233828, 0.0082158270465929276, 0.0082152535657889405, 0.0082146737715555508, 0.0082140866144202046, 0.0082134914642217841, 0.0082128881647951339, 0.0082122771029258766, 0.0082116592966153916, 0.0082110365097327036, 0.0082104114030766631, 0.0082097877361907261, 0.0082091706406943969, 0.0082085669955906052, 0.0082079859498913471, 0.0082074396611677529, 0.0082069443557186636, 0.0082065218764769653, 0.0082062019855995011, 0.0082060258614551143, 0.0082060515346635693, 0.0082063625642701619, 0.0082070823094771463, 0.0082083982380258373, 0.0082106050484323859, 0.0082141849371524939, 0.0082199658930148037, 0.0082294567480019117, 0.0082456221525067808, 0.0082748934124413052, 0.008333264610668344, 0.0084694402328052906, 0.0088913083365499516, 0.011419366091487873, 0.097125025076593055, 0.011171374358560741, 0.0090824352362990791, 0.0086367830122409638, 0.0084686640485120441, 0.0083863108232661594, 0.00833939373451951, 0.0083099136466578318, 0.0082900889312919959, 0.0082760899809907577, 0.0082658452370978006, 0.0082581502109662711, 0.0082522634388501343, 0.0082477068515929147, 0.008244160126443776, 0.0082414015327379464, 0.0082392732108589953, 0.0082376599595915638, 0.0082364758220372977, 0.0082356553451192992, 0.0082351477327577503, 0.0082349128429048263, 0.0082349183898814682, 0.0082351379528212056, 0.0082355495344678554, 0.0082361345028130282, 0.0082368768036374124, 0.0082377623677847896, 0.008238778660465202, 0.0082399143355613314, 0.0082411589685574983, 0.008242502849050086, 0.0082439368189292147, 0.008245452145954877, 0.0082470404250553041, 0.0082486935015623625, 0.0082504034119804323, 0.0082521623389062264, 0.0082539625774780499, 0.0082557965113040522, 0.0082576565962515763, 0.0082595353508077389, 0.0082614253519725685, 0.0082633192358383383, 0.0082652097021566236, 0.0082670895223078203, 0.0082689515501758338, 0.0082707887354970099, 0.0082725941393037728, 0.0082743609511223906, 0.0082760825076136843, 0.0082777523123675253, 0.0082793640565790132, 0.0082809116403467602, 0.0082823891943435684, 0.0082837911016179194, 0.0082851120192917391, 0.0082863468999264406, 0.0082874910123366154, 0.0082885399616374894, 0.0082894897083220145, 0.0082903365861725382, 0.0082910773188241225, 0.0082917090348095402, 0.0082922292809307352, 0.0082926360338187073, 0.0082929277095611948, 0.008293103171297703, 0.0082931617347025352, 0.0082931226890128832, 0.0082930056632765925, 0.0082928109911340336, 0.0082925392274634038, 0.0082921911466049252, 0.008291767739890878, 0.0082912702124970337, 0.0082906999796356351, 0.0082900586621140644, 0.0082893480812869236, 0.0082885702534331897, 0.0082877273835930913, 0.0082868218589024455, 0.0082858562414646827, 0.0082848332608031275, 0.0082837558059382626, 0.0082826269171354886, 0.0082814497773712054, 0.0082802277035647544, 0.0082789641376250674, 0.0082776626373606034, 0.0082763268673011359, 0.0082749605894797615, 0.0082735676542223576, 0.0082721519909913135, 0.0082707175993292359, 0.0082692685399468873, 0.0082678089259985467, 0.00826634291458672, 0.0082648746985365586, 0.0082634084984791988, 0.0082619485552820945, 0.0082604991228628737, 0.008259064461423167, 0.0082576488311373649, 0.0082562564863312652, 0.0082548916701857527, 0.0082535586100005703, 0.00825226151305441, 0.0082510045630988724, 0.0082497919175257197, 0.0082486277052496032, 0.0082475160253517293, 0.008246460946534289, 0.0082454665074405322, 0.0082445367179015804, 0.0082436755611784984, 0.0082428869972767209, 0.0082421749674199962, 0.008241543399782789, 0.0082409962165933721, 0.0082405373427354798, 0.008240170715993967, 0.0082399002991101946, 0.0082397300938358287, 0.0082396641572000037, 0.0082397066202345298, 0.0082398617094354733, 0.0082401337712780451, 0.0082405273001446844, 0.0082410469700756744, 0.0082416976708072805, 0.0082424845486250876, 0.0082434130526318223, 0.0082444889871093208, 0.0082457185707456807, 0.0082471085036016911, 0.0082486660428074243, 0.0082503990881117647, 0.0082523162785570273, 0.008254427101719173, 0.0082567420171451873, 0.0082592725958342064, 0.0082620316778524525, 0.0082650335504463289, 0.0082682941493276273, 0.0082718312861531518, 0.0082756649056133034, 0.0082798173759833851, 0.008284313817484134, 0.0082891824733457922, 0.008294455129079073, 0.0083001675861257163, 0.0083063601967924283, 0.0083130784681579896, 0.0083203737434722428, 0.0083283039704142581, 0.0083369345664038273, 0.0083463393918994395, 0.008356601843160642, 0.0083678160761361461, 0.0083800883727100459, 0.0083935386591027505, 0.0084083021832011672, 0.0084245313520903784, 0.0084423977217564679, 0.0084620941158270613, 0.0084838368263480141, 0.0085078678125075358, 0.0085344567563103366, 0.008563902747657769, 0.0085965352405878992, 0.0086327137262968388, 0.0086728252760594395, 0.0087172786741192033, 0.0087664932255496503, 0.008820879405108277, 0.0088808072094018614, 0.0089465562812925323, 0.009018239530315381, 0.009095689174094897, 0.00917829139015181, 0.0092647545428304456, 0.0093527995174693575, 0.0094387754750266464, 0.0095172410453536783, 0.0095806233660083538, 0.009619183159767326, 0.0096216496247977894, 0.0095769472184289058, 0.0094772257767461714, 0.0093217444105438696, 0.009120188924445537, 0.008893454654171613, 0.008670697234130555, 0.0084834127225029473, 0.008358900020149598, 0.008315294523419928], [0.0084320733661941445, 0.008432021015651622, 0.0084318640931384768, 0.008431602985578034, 0.0084312383364457746, 0.008430771043685328, 0.008430202256813249, 0.008429533373234193, 0.0084287660337945373, 0.008427902117608169, 0.008426943736192986, 0.0084258932269624751, 0.0084247531461209973, 0.0084235262610157773, 0.0084222155420026115, 0.0084208241538860761, 0.0084193554469979819, 0.0084178129479806681, 0.0084162003503448143, 0.0084145215048730768, 0.0084127804099438375, 0.008410981201850621, 0.0084091281451958936, 0.0084072256234393322, 0.0084052781296839497, 0.008403290257786555, 0.0084012666938826346, 0.0083992122084214083, 0.0083971316488125648, 0.0083950299327947703, 0.008392912042646734, 0.0083907830203745135, 0.0083886479640266996, 0.0083865120253107765, 0.0083843804087120766, 0.0083822583723522238, 0.0083801512308697215, 0.0083780643606627039, 0.0083760032079073336, 0.008373973299859552, 0.0083719802600676664, 0.0083700298282776957, 0.0083681278860127228, 0.0083662804890650352, 0.0083644939084763781, 0.0083627746820213681, 0.0083611296787896947, 0.0083595661802324354, 0.008358091982066846, 0.0083567155228197725, 0.008355446046671669, 0.0083542938108406573, 0.0083532703513102199, 0.0083523888256815202, 0.0083516644589562358, 0.008351115128086296, 0.0083507621356230001, 0.0083506312440269365, 0.0083507540737339635, 0.0083511700156372829, 0.0083519288815982751, 0.0083530946305390083, 0.0083547506891932105, 0.0083570076821584786, 0.0083600148788608337, 0.0083639775094794238, 0.0083691835920694131, 0.008376046632298139, 0.0083851757103337952, 0.0083974946664548428, 0.0084144533063646703, 0.0084384203057404489, 0.0084734579340527642, 0.0085269621659221483, 0.0086134576214517387, 0.0087644453385660286, 0.0090582188569875207, 0.0097323641792151951, 0.011782286428137409, 0.022780937943643227, 0.068474384990826351, 0.018691663026585845, 0.011977126476668477, 0.010264126817109176, 0.0095868823606141268, 0.0092518829349058241, 0.0090631609578462145, 0.0089481033823557536, 0.0088747243242793938, 0.0088271582019515318, 0.0087968479265171946, 0.0087789076544367451, 0.0087704600844631265, 0.0087698172857081317, 0.0087760572907439396, 0.0087888034228502734, 0.0088081184954218409, 0.0088344740504727216, 0.0088687799446382515, 0.0089124762875870314, 0.0089677057035252253, 0.0090376056647915454, 0.0091267976161569231, 0.0092422199540001266, 0.0093945959282982997, 0.0096011419551379883, 0.0098908570262066162, 0.010315592366372764, 0.010975241049785051, 0.012081126633706332, 0.014134918896467846, 0.018482482970803425, 0.028630796016362106, 0.042504445085155967, 0.030984342414655114, 0.018261515672771705, 0.013158495060706703, 0.011009228203622027, 0.0099672130040897294, 0.0094015569492117614, 0.0090679386850375139, 0.0088589758783647506, 0.0087223940445016468, 0.0086306381504848255, 0.0085682793425317354, 0.0085263070077833125, 0.0084993531560879805, 0.0084842750511290761, 0.0084794208081205476, 0.0084811610361381993, 0.0084864877654896309, 0.008495731919039776, 0.0085094902821688263, 0.0085287033874437302, 0.0085547879457876803, 0.0085898566943762612, 0.0086370867263947954, 0.0087013528231832671, 0.0087903575087031911, 0.0089167430006469196, 0.0091022647024745409, 0.0093866046414456186, 0.0098474970002303576, 0.010650965648260426, 0.012188210026344253, 0.015453227564810077, 0.022520815854225777, 0.030403059409041009, 0.024781857689335121, 0.017185150944232074, 0.013381351937628499, 0.011531318597404546, 0.010538078939217871, 0.0099520245468477046, 0.0095791448204878837, 0.0093274786231922653, 0.0091495092904298903, 0.0090188425507043077, 0.0089199133507895812, 0.0088430753165299261, 0.0087820958634626974, 0.0087328033375513783, 0.0086923197657079107, 0.0086586070235781486, 0.0086301884066139947, 0.0086059722680460089, 0.0085851371195249659, 0.0085670548822648195, 0.0085512384661705701, 0.0085373052418773934, 0.0085249511235310268, 0.0085139318764871439, 0.0085040494332661223, 0.0084951417383157535, 0.0084870751166257145, 0.0084797384724261335, 0.0084730388318489079, 0.0084668978842112087, 0.0084612492734454665, 0.0084560364587661051, 0.0084512110113959815, 0.008446731248299276, 0.0084425611285341619, 0.0084386693558556325, 0.0084350286444876063, 0.0084316151148750192, 0.0084284077936535289, 0.0084253881976965733, 0.0084225399863879294, 0.0084198486695634886, 0.008417301361115891, 0.0084148865702415743, 0.008412594023866295, 0.0084104145150123537, 0.0084083397728439355, 0.0084063623509021673, 0.0084044755306637905, 0.0084026732380571324, 0.0084009499709746787, 0.0083993007361502052, 0.0083977209940375094, 0.0083962066105479106, 0.0083947538146847672, 0.0083933591612634726, 0.0083920194980290751, 0.0083907319365875161, 0.0083894938266523399, 0.0083883027331814585, 0.0083871564160389826, 0.0083860528118687005, 0.008384990017908843, 0.0083839662775148024, 0.0083829799671874556, 0.0083820295849316856, 0.0083811137397922161, 0.008380231142433768, 0.0083793805966488263, 0.008378560991691297, 0.0083777712953465918, 0.008377010547659278, 0.0083762778552492895, 0.0083755723861553104, 0.0083748933651514815, 0.0083742400694894314, 0.0083736118250233357, 0.0083730080026800952, 0.0083724280152413753, 0.0083718713144073434, 0.0083713373881157023, 0.0083708257580920129, 0.0083703359776101365, 0.0083698676294437797, 0.0083694203239917976, 0.0083689936975623203, 0.0083685874108016048, 0.008368201147255382, 0.0083678346120516188, 0.0083674875306945784, 0.0083671596479612358, 0.0083668507268919758, 0.0083665605478681401, 0.0083662889077699906, 0.0083660356192091154, 0.0083658005098299244, 0.0083655834216755254, 0.0083653842106136671, 0.0083652027458188498, 0.0083650389093073759, 0.0083648925955220298, 0.0083647637109639968, 0.0083646521738693271, 0.0083645579139282247, 0.008364480872045145, 0.0083644210001382821, 0.0083643782609771761, 0.0083643526280574657, 0.0083643440855119648, 0.0083643526280574709, 0.0083643782609771795, 0.0083644210001382786, 0.0083644808720451467, 0.0083645579139282281, 0.0083646521738693323, 0.0083647637109640037, 0.0083648925955220332, 0.0083650389093073707, 0.0083652027458188498, 0.0083653842106136637, 0.0083655834216755341, 0.0083658005098299244, 0.0083660356192091154, 0.0083662889077699889, 0.0083665605478681383, 0.0083668507268919792, 0.008367159647961241, 0.0083674875306945732, 0.0083678346120516171, 0.0083682011472553906, 0.00836858741080161, 0.0083689936975623238, 0.0083694203239917924, 0.0083698676294437797, 0.0083703359776101435, 0.0083708257580920112, 0.0083713373881156988, 0.0083718713144073486, 0.0083724280152413649, 0.008373008002680097, 0.0083736118250233374, 0.0083742400694894348, 0.0083748933651514729, 0.0083755723861553156, 0.0083762778552492947, 0.0083770105476592797, 0.0083777712953465953, 0.0083785609916912987, 0.0083793805966488246, 0.0083802311424337698, 0.0083811137397922231, 0.0083820295849316787, 0.0083829799671874573, 0.0083839662775148094, 0.0083849900179088464, 0.008386052811868697, 0.0083871564160389843, 0.008388302733181462, 0.0083894938266523347, 0.0083907319365875109, 0.0083920194980290751, 0.0083933591612634726, 0.0083947538146847689, 0.0083962066105479106, 0.0083977209940375164, 0.0083993007361502, 0.0084009499709746787, 0.0084026732380571394, 0.0084044755306637922, 0.008406362350902169, 0.0084083397728439337, 0.0084104145150123572, 0.0084125940238662898, 0.0084148865702415726, 0.0084173013611158927, 0.0084198486695634886, 0.0084225399863879311, 0.0084253881976965751, 0.0084284077936535237, 0.0084316151148750192, 0.0084350286444876098, 0.008438669355855629, 0.0084425611285341602, 0.0084467312482992725, 0.0084512110113959798, 0.0084560364587661033, 0.0084612492734454647, 0.008466897884211207, 0.0084730388318489027, 0.0084797384724261352, 0.008487075116625711, 0.0084951417383157465, 0.0085040494332661136, 0.0085139318764871387, 0.008524951123531032, 0.0085373052418773847, 0.0085512384661705718, 0.0085670548822648126, 0.0085851371195249521, 0.0086059722680460003, 0.0086301884066139548, 0.008658607023578152, 0.0086923197657078222, 0.0087328033375513089, 0.0087820958634625568, 0.0088430753165296798, 0.0089199133507895257, 0.0090188425507039469, 0.0091495092904297342, 0.0093274786231920086, 0.0095791448204877883, 0.009952024546846629, 0.01053807893921856, 0.011531318597403379, 0.013381351937627593, 0.017185150944240349, 0.024781857689335447, 0.030403059409041314, 0.022520815854218758, 0.015453227564800753, 0.012188210026344688, 0.010650965648260324, 0.0098474970002296602, 0.0093866046414461772, 0.009102264702474501, 0.0089167430006472006, 0.0087903575087030124, 0.0087013528231832653, 0.008637086726394818, 0.0085898566943763115, 0.0085547879457876733, 0.0085287033874437493, 0.008509490282168828, 0.0084957319190397708, 0.0084864877654896292, 0.0084811610361381958, 0.0084794208081205545, 0.008480288747860781, 0.0084829188768156018, 0.008487391679259642, 0.0084938466337917563, 0.0085024907848710671, 0.0085136119606372511, 0.0085275980821837294, 0.0085449648041503613, 0.0085663949255407046, 0.0085927948790345526, 0.0086253766027976891, 0.008665778025548708, 0.0087162437141240379, 0.0087799016742904443, 0.0088611981315646175, 0.0089665998745590975, 0.0091057652088654094, 0.0092935665930286172, 0.0095537251885102897, 0.0099256310205901796, 0.010477736497386212, 0.011334987303230419, 0.012736141645322168, 0.015145252420120133, 0.019364810430287697, 0.025836508308212335, 0.030693903543311633, 0.027592811763194242, 0.021271489045026605, 0.016705511629119631, 0.013980968308302491, 0.012350764895598587, 0.011328900672222484, 0.010655091937687752, 0.010190196397633881, 0.0098568264204080182, 0.0096098781492550567, 0.0094218632419188347, 0.0092753435380309498, 0.0091588588500122747, 0.0090646409013719603, 0.0089872790351034314, 0.0089229135031637947, 0.0088687320501210209, 0.008822646725187757, 0.0087830810498266826, 0.008748826611801935, 0.0087189444199148817, 0.0086926957653789515, 0.0086694929314065569, 0.0086488635025899242, 0.0086304241513381862, 0.0086138611315582005, 0.0085989155874972266, 0.008585372365257922, 0.0085730514035183645, 0.0085618010450885258, 0.0085514927941456945, 0.0085420171722790025, 0.0085332804174090698, 0.0085252018348512901, 0.0085177116570430839, 0.0085107493030494152, 0.00850426195452526, 0.008498203383876992, 0.0084925329846989982, 0.0084872149654278313, 0.0084822176754533289, 0.0084775130393099796, 0.0084730760795137493, 0.0084688845124631824, 0.0084649184048444723, 0.0084611598803637274, 0.0084575928685203215, 0.0084542028886428564, 0.0084509768636176711, 0.0084479029587131854, 0.0084449704416912196, 0.0084421695610363071, 0.0084394914396570056, 0.0084369279818413273, 0.0084344717916011221, 0.0084321161008314941, 0.0084298547059525001, 0.0084276819119018017, 0.0084255924825139931, 0.008423581596463529, 0.0084216448080654954, 0.008419778012328601, 0.0084179774137383336, 0.0084162394983198843, 0.0084145610085907922, 0.0084129389210650662, 0.0084113704260146051, 0.0084098529092314894, 0.0084083839355673946, 0.0084069612340539803, 0.0084055826844325592, 0.0084042463049420375, 0.0084029502412321187, 0.008401692756284572, 0.0084004722212390141, 0.0083992871070313769, 0.0083981359767638774, 0.0083970174787341926, 0.0083959303400596881, 0.0083948733608392428, 0.0083938454088019112, 0.0083928454143965114, 0.0083918723662813888, 0.0083909253071776657, 0.0083900033300532625, 0.0083891055746079211, 0.0083882312240328525, 0.0083873795020208749, 0.0083865496700056101, 0.0083857410246100141, 0.0083849528952867451, 0.0083841846421342583, 0.0083834356538742098, 0.0083827053459769544, 0.0083819931589232122, 0.0083812985565910152, 0.008380621024758032, 0.0083799600697102936, 0.0083793152169489502, 0.0083786860099877361, 0.008378072009234093, 0.0083763170803258166, 0.0083746845985016478, 0.0083731648856050604, 0.0083717491025888553, 0.0083704291137359898, 0.0083691973762923446, 0.0083680468507639719, 0.0083669709281153932, 0.0083659633708691745, 0.0083650182657025816, 0.0083641299856051701, 0.008363293160031364, 0.0083625026517765641, 0.0083617535395416297, 0.0083610411053412787, 0.0083603608260679283, 0.0083597083686514934, 0.0083590795883642568, 0.0083584705299143136, 0.0083578774310552762, 0.0083572967285189918, 0.008356725066156671, 0.0083561593052560064, 0.0083555965370939664, 0.008355034097893118, 0.0083544695864819687, 0.0083539008851284246, 0.0083533261842348421, 0.0083527440118745591, 0.0083521532695425942, 0.0083515532760304358, 0.0083509438220772721, 0.0083503252394893021, 0.0083496984898895482, 0.0083490652803674698, 0.0083484282163537697, 0.008347791006539226, 0.0083471587413576978, 0.0083465382767056381, 0.0083459387702091142, 0.0083453724418881374, 0.0083448556703471215, 0.0083444105998978346, 0.0083440675417896688, 0.0083438686383553971, 0.0083438735884241444, 0.0083441688375635679, 0.008344882791792874, 0.0083462119171991631, 0.0083484674228712936, 0.0083521629955147329, 0.0083581898124964575, 0.008368192188374023, 0.0083854518372734332, 0.008417235602191285, 0.0084821428562593931, 0.0086393749696857328, 0.0091627406036865269, 0.013021571899010712, 0.045754867255712588, 0.010604512572977369, 0.0091038867373702467, 0.0087363245491113937, 0.0085895966591159594, 0.0085154339586489894, 0.0084723268207165942, 0.0084448597302144348, 0.0084261984653591134, 0.0084129182646793151, 0.0084031409647943745, 0.0083957626577636398, 0.0083900978159426719, 0.0083857012113373614, 0.0083822726854552755, 0.0083796033619551579, 0.008377543841162096, 0.0083759846441937603, 0.0083748437774747546, 0.0083740585900197503, 0.0083735803026857448, 0.0083733702480537076, 0.0083733972332646848, 0.0083736356567714783, 0.0083740641416111088, 0.0083746645291340009, 0.0083754211285527371, 0.00837632015088563, 0.0083773492777345689, 0.0083784973299872376, 0.0083797540115100114, 0.0083811097097935463, 0.0083825553403458208, 0.0083840822250571875, 0.0083856819972258304, 0.008387346527720602, 0.0083890678680702668, 0.0083908382072393466, 0.0083926498395756957, 0.008394495141959982, 0.0083963665586001077, 0.0083982565922277094, 0.0084001578006939522, 0.0084020627981462349, 0.0084039642601091442, 0.0084058549319012826, 0.0084077276399041993, 0.0084095753052628019, 0.0084113909596461364, 0.0084131677627342499, 0.008414899021125171, 0.0084165782083765375, 0.0084181989859129086, 0.0084197552245413223, 0.0084212410263269123, 0.0084226507465881926, 0.0084239790157780627, 0.0084252207610228773, 0.0084263712270989995, 0.0084274259966328081, 0.008428381009319667, 0.0084292325799663788, 0.0084299774151736385, 0.0084306126284879757, 0.0084311357538673377, 0.0084315447573217756, 0.0084318380466079541, 0.0084320144788767697, 0.0084320733661941445, 0.0084320341045461648, 0.0084319164315392707, 0.0084317206826252274, 0.008431447415695249, 0.0084310974092953548, 0.0084306716601440478, 0.0084301713799679861, 0.008429597991675971, 0.0084289531248953817, 0.0084282386108990269, 0.0084274564769541583, 0.008426608940128491, 0.0084256984005910834, 0.0084247274344485569, 0.0084236987861593185, 0.0084226153605707153, 0.0084214802146248251, 0.0084202965487808028, 0.0084190676982015041, 0.0084177971237533282, 0.0084164884028679731, 0.0084151452203146682, 0.0084137713589313642, 0.0084123706903620164, 0.0084109471658467602, 0.0084095048071104982, 0.0084080476973940645, 0.0084065799726707972, 0.008405105813090152, 0.008403629434688243, 0.0084021550814040655, 0.0084006870174386499, 0.0083992295199930705, 0.0083977868724206262, 0.0083963633578271364, 0.0083949632531529258, 0.0083935908237700568, 0.0083922503186281035, 0.0083909459659824229, 0.0083896819697401002, 0.0083884625064599531, 0.0083872917230454445, 0.0083861737351719114, 0.0083851126264933296, 0.0083841124486780695, 0.0083831772223283384, 0.0083823109388444315, 0.0083815175633021582, 0.0083808010384204112, 0.0083801652897057231, 0.0083796142318720099, 0.0083791517766466043, 0.0083787818420884251, 0.0083785083635607438, 0.0083783353065196176, 0.0083782666813004836, 0.0083783065601086351, 0.0083784590964459862, 0.0083787285472360605, 0.00837911929794166, 0.0083796358910063519, 0.0083802830579911419, 0.0083810657558219398, 0.0083819892076126192, 0.0083830589485816513, 0.0083842808776390162, 0.008385661315283113, 0.0083872070685159384, 0.0083889255035577946, 0.008390824627220456, 0.0083929131778788611, 0.0083952007270657481, 0.0083976977927984441, 0.0084004159658310935, 0.0084033680501050968, 0.0084065682187404751, 0.0084100321869665044, 0.0084137774034212937, 0.0084178232612470705, 0.0084221913303556585, 0.0084269056121170274, 0.0084319928175077326, 0.0084374826694104416, 0.0084434082292368182, 0.0084498062472939742, 0.008456717535252711, 0.0084641873576023104, 0.0084722658369588456, 0.0084810083653580649, 0.0084904760099822479, 0.0085007358968448438, 0.0085118615494026995, 0.0085239331503746043, 0.0085370376835727999, 0.0085512688974566011, 0.0085667270123366435, 0.0085835180673478131, 0.0086017527698267048, 0.0086215446665836356, 0.0086430074014845377, 0.0086662507543301525, 0.008691375070005173, 0.0087184635829714481, 0.0087475720213270672, 0.0087787147424409871, 0.0088118465228791808, 0.0088468390284957444, 0.0088834509810994267, 0.0089212912109938591, 0.0089597742941897526, 0.0089980695537457082, 0.0090350461849024594, 0.0090692205490091587, 0.0090987166642035808, 0.0091212577440368987, 0.0091342147216857111, 0.00913474500591787, 0.0091200568829689528, 0.0090878249796053669, 0.009036751792233344, 0.0089672147677322071, 0.0088818648067618671, 0.0087859764691197786, 0.0086873351877253327, 0.0085955208150239829, 0.008520611570236529, 0.0084715348215565114, 0.0084544440615574798], [0.0085588932667631443, 0.0085588407029466521, 0.0085586831410234057, 0.0085584209691503838, 0.0085580548328534709, 0.0085575856329348828, 0.0085570145225662159, 0.0085563429035886845, 0.0085555724220489106, 0.0085547049630041085, 0.0085537426446355008, 0.0085526878117145391, 0.0085515430284709287, 0.0085503110709156723, 0.0085489949186765279, 0.008547597746406975, 0.0085461229148327215, 0.0085445739615027487, 0.0085429545913147994, 0.00854126866688696, 0.0085395201988498481, 0.0085377133361352209, 0.0085358523563398448, 0.0085339416562448256, 0.0085319857425738329, 0.0085299892230765485, 0.0085279567980272395, 0.0085258932522338324, 0.0085238034476583322, 0.0085216923167578916, 0.0085195648566660318, 0.0085174261243461512, 0.0085152812328667012, 0.0085131353489684893, 0.008510993692121693, 0.0085088615353044843, 0.0085067442077793789, 0.0085046471001986347, 0.0085025756724409051, 0.0085005354646718791, 0.0084985321122365738, 0.0084965713651389899, 0.008494659113055289, 0.0084928014170724698, 0.0084910045496646002, 0.0084892750448362485, 0.00848761976091221, 0.0084860459591791539, 0.0084845614025531174, 0.0084831744797463412, 0.0084818943621653761, 0.0084807312031720157, 0.0084796963926428975, 0.0084788028843581827, 0.0084780656202039853, 0.0084775020843419219, 0.0084771330336774892, 0.0084769834701437907, 0.008477083948630889, 0.0084774723567996729, 0.0084781963675645469, 0.0084793168649919363, 0.0084809128021433016, 0.0084830882036716834, 0.0084859824452716056, 0.0084897856512049143, 0.008494762284708501, 0.0085012882208193689, 0.0085099107114245398, 0.0085214486340997996, 0.0085371666131440899, 0.0085590912870197045, 0.0085906171310834445, 0.0086377439658935455, 0.0087118136198613364, 0.0088362031130543254, 0.0090650121496903026, 0.0095457062541360015, 0.010794500450325907, 0.015588016562435379, 0.053052740986823596, 0.033037914467174731, 0.014633146023262891, 0.011276243154168593, 0.01015073091726491, 0.0096417034810276098, 0.0093701123986414236, 0.0092102128133213224, 0.0091105225397605238, 0.0090467968208408269, 0.0090064560437487264, 0.0089825330602217087, 0.008971030991839879, 0.0089696691403733739, 0.0089772561950475366, 0.008993376342935084, 0.009018250960937715, 0.0090527175108552661, 0.0090983090761990078, 0.0091574482428403922, 0.0092338027105192851, 0.0093329029484702387, 0.0094632220893075339, 0.0096381263384248891, 0.0098795715396211448, 0.010225554071576541, 0.010746314655498175, 0.01158301782617412, 0.013051123405427072, 0.015954148089474859, 0.022609804043768934, 0.038236624725990404, 0.04572843430945793, 0.026380485583411155, 0.016351297849415778, 0.012512263325689136, 0.010817614216051864, 0.009956982288214242, 0.0094720105338974171, 0.0091772297734855693, 0.0089878177275000918, 0.0088610786684301772, 0.0087738552133564355, 0.0087128388403818202, 0.0086700429390250411, 0.0086405381461956369, 0.0086212584203086695, 0.0086103503938948413, 0.0086068189776875928, 0.0086080901714535654, 0.0086119689079787107, 0.0086186573080519156, 0.0086285155826280081, 0.0086421014159497843, 0.0086602350799010672, 0.0086841036582326857, 0.0087154280245028502, 0.0087567350821246524, 0.0088118141482377444, 0.0088865099922521701, 0.0089901622569836838, 0.0091383576591962338, 0.0093585289700451445, 0.0097022219864115796, 0.010274456350607737, 0.01131157670831584, 0.013409610964872391, 0.018186765564689657, 0.02841301003099703, 0.032989913811601136, 0.022464935664432077, 0.015672994511419094, 0.012641748437714571, 0.011165123982122768, 0.010356882622553982, 0.0098708380837706222, 0.0095566635611042984, 0.0093419097153628929, 0.0091884919405270573, 0.0090749248735850687, 0.0089883672671160347, 0.0089207689949957706, 0.0088668775973934598, 0.0088231478170517439, 0.0087871161108816903, 0.0087570269396143961, 0.0087316014498781073, 0.0087098897956867198, 0.0086911742510426652, 0.0086749040876384007, 0.0086606508463833408, 0.0086480770133488261, 0.0086369136945542088, 0.0086269444488275907, 0.0086179934088211514, 0.0086099164359691362, 0.008602594453563938, 0.0085959283646765416, 0.0085898351376258279, 0.0085842447615063228, 0.0085790978570320243, 0.0085743437858783675, 0.0085699391427595997, 0.0085658465439193664, 0.0085620336470538516, 0.0085584723533165055, 0.0085551381536096566, 0.0085520095899906026, 0.0085490678095069828, 0.0085462961926974449, 0.0085436800427543553, 0.0085412063242403004, 0.0085388634424940178, 0.0085366410566115759, 0.0085345299202627279, 0.0085325217456864114, 0.0085306090870711886, 0.008528785240213034, 0.0085270441558948085, 0.008525380364875804, 0.0085237889127400979, 0.0085222653031452322, 0.0085208054482518291, 0.0085194056253115637, 0.008518062438552073, 0.0085167727856315899, 0.0085155338280466491, 0.0085143429649689132, 0.0085131978100641756, 0.0085120961709114953, 0.0085110360306947033, 0.0085100155318846397, 0.0085090329616690739, 0.0085080867389205912, 0.0085071754025203578, 0.0085062976008801264, 0.0085054520825247424, 0.0085046376876154375, 0.0085038533403091459, 0.0085030980418618965, 0.0085023708643959094, 0.0085016709452593875, 0.00850099748191681, 0.0085003497273144456, 0.0084997269856726208, 0.0084991286086614406, 0.0084985539919219862, 0.0084980025718987239, 0.0084974738229533081, 0.0084969672547325122, 0.0084964824097665589, 0.0084960188612764297, 0.0084955762111707089, 0.0084951540882152905, 0.0084947521463602273, 0.0084943700632100858, 0.0084940075386255309, 0.008493664293444959, 0.0084933400683162383, 0.0084930346226296787, 0.008492747733544111, 0.0084924791950988752, 0.0084922288174052729, 0.0084919964259116201, 0.0084917818607366646, 0.0084915849760667621, 0.0084914056396125058, 0.0084912437321212897, 0.0084910991469422607, 0.0084909717896409897, 0.0084908615776610099, 0.0084907684400302979, 0.0084906923171105854, 0.0084906331603878549, 0.0084905909323027967, 0.008490565606120045, 0.0084905571658353361, 0.0084905656061200468, 0.0084905909323028019, 0.0084906331603878532, 0.0084906923171105871, 0.0084907684400303031, 0.0084908615776610116, 0.0084909717896409966, 0.0084910991469422624, 0.0084912437321212828, 0.0084914056396125093, 0.0084915849760667603, 0.0084917818607366732, 0.0084919964259116184, 0.0084922288174052712, 0.00849247919509887, 0.008492747733544111, 0.0084930346226296822, 0.0084933400683162383, 0.0084936642934449521, 0.0084940075386255309, 0.008494370063210091, 0.0084947521463602307, 0.008495154088215294, 0.0084955762111707037, 0.0084960188612764279, 0.0084964824097665658, 0.0084969672547325088, 0.0084974738229533081, 0.0084980025718987256, 0.0084985539919219776, 0.0084991286086614458, 0.0084997269856726208, 0.0085003497273144456, 0.0085009974819168083, 0.0085016709452593927, 0.0085023708643959129, 0.0085030980418618982, 0.0085038533403091511, 0.0085046376876154392, 0.0085054520825247424, 0.0085062976008801264, 0.0085071754025203596, 0.008508086738920586, 0.0085090329616690791, 0.0085100155318846449, 0.0085110360306947068, 0.0085120961709114935, 0.0085131978100641773, 0.0085143429649689167, 0.0085155338280466439, 0.0085167727856315864, 0.008518062438552073, 0.0085194056253115637, 0.0085208054482518291, 0.008522265303145234, 0.0085237889127401066, 0.0085253803648757988, 0.0085270441558948085, 0.008528785240213041, 0.008530609087071192, 0.0085325217456864132, 0.0085345299202627279, 0.0085366410566115759, 0.0085388634424940092, 0.0085412063242402986, 0.0085436800427543536, 0.0085462961926974466, 0.0085490678095069828, 0.0085520095899906043, 0.0085551381536096514, 0.0085584723533165003, 0.0085620336470538533, 0.0085658465439193681, 0.0085699391427595997, 0.0085743437858783605, 0.0085790978570320225, 0.0085842447615063211, 0.0085898351376258279, 0.0085959283646765399, 0.0086025944535639311, 0.0086099164359691345, 0.0086179934088211445, 0.0086269444488275872, 0.0086369136945542019, 0.0086480770133488191, 0.008660650846383346, 0.0086749040876383937, 0.0086911742510426687, 0.0087098897956867163, 0.0087316014498780882, 0.0087570269396143856, 0.0087871161108816435, 0.0088231478170517508, 0.008866877597393347, 0.0089207689949956717, 0.0089883672671158439, 0.0090749248735847339, 0.0091884919405269827, 0.0093419097153623239, 0.0095566635611040278, 0.0098708380837702371, 0.010356882622553814, 0.011165123982120544, 0.012641748437716456, 0.01567299451141518, 0.022464935664430457, 0.032989913811611718, 0.028413010030996274, 0.018186765564679356, 0.01340961096486973, 0.01131157670831346, 0.010274456350607718, 0.0097022219864116334, 0.0093585289700448826, 0.009138357659196494, 0.0089901622569836422, 0.0088865099922522985, 0.008811814148237649, 0.0087567350821246576, 0.0087154280245028658, 0.0086841036582327117, 0.008660235079901062, 0.0086421014159497964, 0.0086285155826280081, 0.0086186573080519122, 0.0086119689079787089, 0.0086080901714535637, 0.0086068189776875963, 0.0086074532365697527, 0.0086093722098381266, 0.0086126252993364277, 0.0086172976167482613, 0.0086235143957511719, 0.0086314477009605105, 0.0086413260499799468, 0.0086534478794219206, 0.008668200240465454, 0.0086860847876353772, 0.0087077541617364088, 0.0087340634913408485, 0.0087661443364600699, 0.0088055126585757718, 0.0088542295628391034, 0.0089151459297933631, 0.0089922840749830577, 0.0090914500845048016, 0.0092212477524109358, 0.0093948184732913446, 0.009632949621772675, 0.0099698851361602579, 0.010464744995186178, 0.011225179540862634, 0.012458702345863173, 0.014585120346400839, 0.018443480744533124, 0.025218054542535, 0.03309137668373649, 0.032429927840199706, 0.024642570235250492, 0.018500962069020178, 0.014957892968605275, 0.012933780315904602, 0.011713757253439823, 0.010933772864252336, 0.010408569745306691, 0.010039223834057996, 0.0097699417605055187, 0.0095676138863082048, 0.0094116904552572073, 0.0092889104286513983, 0.0091904223779472397, 0.0091101421266043744, 0.0090437788718855418, 0.0089882374800031584, 0.0089412402609806516, 0.0089010810167509131, 0.008866461156375096, 0.0088363780766725596, 0.0088100476227538776, 0.0087868492500320621, 0.0087662866045577267, 0.0087479587621321388, 0.0087315389562590013, 0.0087167586466234213, 0.0087033954486422614, 0.0086912638900635275, 0.0086802082619515265, 0.0086700970382862751, 0.0086608184823888396, 0.0086522771598616204, 0.0086443911501082049, 0.0086370898006882298, 0.0086303119067930416, 0.008624004226110444, 0.0086181202601271333, 0.0086126192484816053, 0.0086074653347359403, 0.0086026268708800351, 0.008598075834740853, 0.0085937873397637227, 0.008589739220747088, 0.0085859116823299129, 0.0085822869995619156, 0.0085788492618893777, 0.0085755841534822311, 0.0085724787641021129, 0.0085695214257343524, 0.0085667015710336782, 0.0085640096103034614, 0.0085614368242746871, 0.0085589752703974942, 0.0085566177007248972, 0.0085543574897712672, 0.0085521885709780449, 0.0085501053806276445, 0.0085481028082193908, 0.008546176152466679, 0.0085443210821958705, 0.0085425336015298517, 0.0085408100188256869, 0.0085391469189086758, 0.0085375411382073909, 0.0085359897424468895, 0.0085344900066027119, 0.0085330393968563387, 0.0085316355543263132, 0.0085302762803775144, 0.0085289595233354349, 0.0085276833664536447, 0.0085264460170009007, 0.0085252457963502139, 0.0085240811309659614, 0.0085229505441972737, 0.0085218526487963152, 0.0085207861400891753, 0.0085197497897353779, 0.0085187424400188141, 0.0085177629986191612, 0.0085168104338183455, 0.0085158837701015035, 0.0085149820841158071, 0.0085141045009547722, 0.0085132501907385222, 0.0085124183654637937, 0.0085116082760998413, 0.0085108192099089298, 0.0085100504879720377, 0.0085093014629023696, 0.0085085715167308278, 0.0085078600589491953, 0.0085071665246980212, 0.0085064903730874188, 0.0085058310856401635, 0.0085051881648471345, 0.0085045611328265474, 0.0085039495300785715, 0.0085022029544646847, 0.0085005802372246069, 0.0084990713446911979, 0.0084976671468793667, 0.0084963592684611025, 0.0084951399680257694, 0.0084940020402128752, 0.0084929387364521981, 0.008491943700930352, 0.0084910109190886769, 0.0084901346764926118, 0.0084893095263338485, 0.0084885302641596102, 0.0084877919086890404, 0.0084870896877899792, 0.0084864190288627354, 0.0084857755530196571, 0.0084851550725686536, 0.0084845535914109694, 0.0084839673080543028, 0.0084833926210264327, 0.0084828261365572245, 0.0084822646784825529, 0.0084817053004188295, 0.0084811453003677279, 0.0084805822380466626, 0.0084800139554124347, 0.0084794386010697761, 0.0084788546595541605, 0.0084782609868802629, 0.0084776568542983561, 0.0084770420029638225, 0.0084764167132955065, 0.0084757818943174013, 0.0084751392004598306, 0.0084744911864697205, 0.0084738415157596531, 0.0084731952445270178, 0.0084725592146175192, 0.0084719426045604378, 0.0084713577141184715, 0.008470821099348309, 0.00847035524363411, 0.0084699910655036265, 0.0084697717637814158, 0.0084697588573130599, 0.0084700419358346105, 0.0084707549062428243, 0.0084721040681513364, 0.008474418755423048, 0.0084782474528866669, 0.0084845518015917182, 0.0084951290649352956, 0.0085136249321929279, 0.008548288108151305, 0.0086208868752677172, 0.0088041210650207993, 0.0094661730776327956, 0.015849880980983017, 0.025514171724344996, 0.010253396363310307, 0.0091363203560283907, 0.0088293374323897902, 0.0087004422345081569, 0.0086333872911530923, 0.0085936736269149137, 0.008568032997863748, 0.0085504422943001174, 0.0085378308581137152, 0.0085284924629865783, 0.0085214137862764435, 0.0085159602140869942, 0.0085117166778982661, 0.0085084016787692878, 0.0085058183150825556, 0.00850382511512425, 0.0085023179913944185, 0.0085012187029388734, 0.0085004672642408543, 0.0085000168233091995, 0.0084998301278797813, 0.0084998770384741608, 0.0085001327469272567, 0.0085005764799012534, 0.0085011905419139378, 0.0085019596000233798, 0.0085028701431682559, 0.0085039100695428159, 0.0085050683690820975, 0.0085063348774850975, 0.0085077000846847817, 0.0085091549852265736, 0.008510690961255514, 0.008512299691143357, 0.0085139730784824837, 0.0085157031974196114, 0.0085174822512260398, 0.00851930254169205, 0.0085211564474528476, 0.0085230364097481116, 0.0085249349244173721, 0.0085268445391633689, 0.0085287578552920556, 0.0085306675332737884, 0.0085325663015739274, 0.0085344469682821274, 0.0085363024351300908, 0.008538125713534829, 0.0085399099423395224, 0.0085416484069512355, 0.0085433345595939247, 0.0085449620404108705, 0.0085465246991615323, 0.0085480166172663529, 0.0085494321299604669, 0.0085507658483232434, 0.0085520126809565319, 0.0085531678550914408, 0.0085542269369096278, 0.0085551858508745339, 0.0085560408978769473, 0.0085567887720110914, 0.0085574265758103542, 0.0085579518337865184, 0.0085583625041334883, 0.0085586569884739776, 0.0085588341395479994, 0.0085588932667631443, 0.0085588538451713981, 0.0085587356927825965, 0.0085585391463953928, 0.0085582647661416131, 0.0085579133336953269, 0.0085574858497817728, 0.0085569835310019236, 0.0085564078059929671, 0.0085557603109490486, 0.0085550428845302187, 0.0085542575621915477, 0.00855340656996725, 0.0085524923177478455, 0.0085515173920909602, 0.0085504845486084995, 0.0085493967039752539, 0.008548256927604754, 0.0085470684330403151, 0.0085458345691091838, 0.0085445588108886365, 0.0085432447505328513, 0.0085418960880090898, 0.0085405166217915902, 0.008539110239560296, 0.0085376809089510262, 0.0085362326684025169, 0.0085347696181441533, 0.0085332959113670441, 0.0085318157456195712, 0.008530333354466962, 0.008528852999452918, 0.0085273789624000697, 0.0085259155380841712, 0.00852446702731657, 0.008523037730467687, 0.0085216319414637628, 0.0085202539422890421, 0.0085189079980246586, 0.0085175983524564194, 0.0085163292242839729, 0.0085151048039651366, 0.0085139292512308676, 0.0085128066933085715, 0.0085117412238945034, 0.0085107369029195756, 0.008509797757157319, 0.0085089277817280706, 0.0085081309425596198, 0.0085074111798716118, 0.0085067724127594804, 0.0085062185449628104, 0.0085057534719138825, 0.008505381089173961, 0.0085051053023784563, 0.0085049300388267308, 0.0085048592608692446, 0.0085048969812624858, 0.0085050472806824182, 0.0085053143276088601, 0.0085057024008166927, 0.0085062159147352382, 0.0085068594479644644, 0.0085076377752649375, 0.0085085559033688564, 0.0085096191109901471, 0.0085108329934430842, 0.0085122035123094825, 0.0085137370506241008, 0.0085154404740739962, 0.0085173211987292115, 0.0085193872658359034, 0.008521647424206415, 0.0085241112207290089, 0.0085267890994875674, 0.0085296925099222522, 0.0085328340243659047, 0.0085362274651479119, 0.0085398880412525437, 0.0085438324942348123, 0.0085480792527120771, 0.0085526485942358406, 0.008557562812671643, 0.0085628463883332361, 0.0085685261569778109, 0.0085746314723083254, 0.0085811943547680312, 0.0085882496170561866, 0.0085958349538278796, 0.0086039909793281071, 0.0086127611920888865, 0.0086221918401007819, 0.0086323316528466639, 0.0086432313980192715, 0.008654943210400173, 0.0086675196280204606, 0.0086810122561829448, 0.0086954699631331244, 0.0087109364922896369, 0.0087274473555139041, 0.008745025851089756, 0.0087636780310527632, 0.0087833864289167413, 0.0088041023566024466, 0.0088257365975535993, 0.0088481483750928597, 0.0088711325801940702, 0.0088944054271185499, 0.0089175890023222397, 0.0089401956213611793, 0.0089616135510000947, 0.0089810965195869282, 0.008997760525569715, 0.0090105926901328792, 0.0090184780923840187, 0.0090202512981614469, 0.0090147790378406999, 0.0090010783736766756, 0.0089784698122780324, 0.0089467565279525412, 0.0089064094043473253, 0.0088587247905236345, 0.0088059115404972247, 0.0087510615153406773, 0.0086979686078983466, 0.0086507878260326035, 0.0086135645431887203, 0.0085897045955819172, 0.0085814844319649971], [0.0086746236056585331, 0.0086745708941581463, 0.0086744128894402344, 0.0086741499804317002, 0.0086737828139376479, 0.0086733122925430114, 0.0086727395716974832, 0.0086720660560055778, 0.0086712933947502187, 0.0086704234766839267, 0.0086694584241266328, 0.0086684005864148626, 0.0086672525327515133, 0.008666017044509762, 0.0086646971070486346, 0.0086632959011016426, 0.0086618167938027971, 0.008660263329417172, 0.0086586392198461804, 0.0086569483349794602, 0.0086551946929680108, 0.0086533824504944901, 0.0086515158931197694, 0.008649599425785727, 0.0086476375635578563, 0.0086456349226937401, 0.0086435962121270624, 0.0086415262254619686, 0.0086394298335781498, 0.0086373119779548316, 0.0086351776648320618, 0.0086330319603397376, 0.0086308799867415072, 0.0086287269199612129, 0.0086265779885856108, 0.0086244384745703569, 0.0086223137159189365, 0.0086202091116573988, 0.008618130129496103, 0.0086160823166565835, 0.0086140713144520938, 0.0086121028773521457, 0.0086101828974434295, 0.0086083174354340351, 0.0086065127596524817, 0.0086047753948894704, 0.0086031121834504176, 0.0086015303614727454, 0.0086000376544728297, 0.0085986423973067761, 0.0085973536853723061, 0.0085961815661134214, 0.0085951372829535019, 0.0085942335880246426, 0.008593485145991937, 0.0085929090596548411, 0.0085925255599911023, 0.0085923589206518217, 0.0085924386823475179, 0.0085928013103914232, 0.0085934924657994453, 0.0085945701580920596, 0.0085961091851725208, 0.0085982074845757355, 0.00860099537731592, 0.0086046492816753348, 0.0086094124967485974, 0.0086156274622895268, 0.0086237872024382996, 0.0086346199246232422, 0.0086492331548801635, 0.0086693696336122266, 0.0086978842326427344, 0.0087396860072269465, 0.0088037358882332752, 0.0089076758753753784, 0.0090898550869177204, 0.0094457525425182456, 0.010265171135169613, 0.012756054741242058, 0.025760710476013568, 0.07036172085072577, 0.020848622670050623, 0.013040375827461504, 0.010979377320053147, 0.010154974360266033, 0.009745383357124434, 0.0095147872207628249, 0.0093751275931194013, 0.009287480455251039, 0.0092325608582959299, 0.0092000598635567851, 0.0091842362193561983, 0.0091819123220976042, 0.0091915100684719434, 0.0092125896408975713, 0.0092456676140584178, 0.0092922268545331758, 0.0093549043435981871, 0.0094379026063090531, 0.0095477482781566782, 0.009694660869473317, 0.0098950865065589918, 0.010176621396383017, 0.010588224647283203, 0.011223217558811944, 0.012276632470103702, 0.014207096697956655, 0.018259987392319012, 0.028194242148176417, 0.048895996484033262, 0.042722263855010816, 0.02296887491878024, 0.015198679200795241, 0.01214715382962351, 0.010734706949925316, 0.0099891162275082008, 0.0095561877745737461, 0.0092866694809076913, 0.0091099683459718809, 0.0089895609914421269, 0.0089051758112898022, 0.0088449219183738999, 0.0088015184860436874, 0.0087703657503715726, 0.0087485049563772992, 0.0087340352028674843, 0.0087257794572844355, 0.0087230955782183033, 0.0087240660885605451, 0.0087270203793094001, 0.0087320905073887504, 0.0087395097304120654, 0.0087496343791556176, 0.0087629792575580588, 0.0087802727496802176, 0.0088025421398520345, 0.0088312471802651539, 0.0088684936164349099, 0.0089173842924722812, 0.0089826168060004371, 0.0090715436765207921, 0.0091961471084893338, 0.0093769373200970011, 0.0096512028123701896, 0.010092001787101335, 0.010856543580192826, 0.012324830203798641, 0.01554119366226415, 0.023418962027999871, 0.036357234559945051, 0.029911354716408777, 0.018869097884580362, 0.014015450905073919, 0.011866732446126883, 0.010777461474506884, 0.010158351137996988, 0.0097746927520579469, 0.0095208285929234849, 0.0093440848799371378, 0.0092159637065077279, 0.0091199974995518213, 0.0090461450908533563, 0.0089880051400915498, 0.0089413412363873613, 0.0089032590881512174, 0.0088717264585854126, 0.0088452820586972774, 0.0088228530044259998, 0.0088036369368469786, 0.0087870238975349887, 0.0087725433419806979, 0.0087598274517721991, 0.0087485852548101605, 0.0087385840595031027, 0.0087296359304011618, 0.0087215876975864619, 0.0087143134812996299, 0.0087077090322307971, 0.0087016873995900967, 0.008696175581883514, 0.0086911119131296583, 0.0086864440051849373, 0.008682127114642689, 0.0086781228368124682, 0.0086743980538045561, 0.0086709240815926823, 0.0086676759740497121, 0.0086646319516884163, 0.0086617729301288349, 0.0086590821288165844, 0.0086565447447023523, 0.0086541476788013043, 0.0086518793060274581, 0.0086497292806222877, 0.0086476883710008036, 0.0086457483190224334, 0.0086439017196298321, 0.0086421419175437796, 0.0086404629182979392, 0.0086388593113758943, 0.008637326203599506, 0.0086358591612310086, 0.0086344541595071277, 0.0086331075385321383, 0.0086318159646289454, 0.0086305763963886103, 0.0086293860547762245, 0.0086282423967483177, 0.0086271430919184437, 0.0086260860018751787, 0.0086250691618142642, 0.0086240907641941308, 0.0086231491441650515, 0.0086222427665561315, 0.0086213702142337971, 0.0086205301776699633, 0.0086197214455795389, 0.0086189428965050031, 0.0086181934912411377, 0.0086174722660068408, 0.0086167783262819115, 0.0086161108412373781, 0.0086154690386958301, 0.0086148522005664498, 0.0086142596587053116, 0.008613690791157794, 0.0086131450187443819, 0.0086126218019559782, 0.0086121206381282421, 0.0086116410588680681, 0.0086111826277083491, 0.0086107449379692093, 0.0086103276108071714, 0.0086099302934346776, 0.0086095526574949434, 0.0086091943975784672, 0.0086088552298688465, 0.0086085348909069812, 0.0086082331364638609, 0.0086079497405129757, 0.0086076844942945489, 0.0086074372054644813, 0.0086072076973215551, 0.0086069958081073077, 0.0086068013903733889, 0.0086066243104119169, 0.0086064644477448233, 0.0086063216946684583, 0.0086061959558505156, 0.0086060871479761904, 0.0086059951994415379, 0.008605920050091637, 0.0086058616510019201, 0.0086058199643012645, 0.0086057949630355419, 0.0086057866310708334, 0.0086057949630355471, 0.0086058199643012697, 0.0086058616510019219, 0.0086059200500916352, 0.0086059951994415431, 0.0086060871479761974, 0.0086061959558505208, 0.0086063216946684618, 0.0086064644477448164, 0.0086066243104119169, 0.0086068013903733871, 0.0086069958081073147, 0.0086072076973215585, 0.0086074372054644795, 0.0086076844942945437, 0.0086079497405129705, 0.0086082331364638661, 0.0086085348909069881, 0.0086088552298688413, 0.0086091943975784638, 0.0086095526574949486, 0.0086099302934346811, 0.0086103276108071766, 0.0086107449379692041, 0.0086111826277083456, 0.0086116410588680768, 0.0086121206381282386, 0.0086126218019559747, 0.0086131450187443854, 0.0086136907911577871, 0.0086142596587053151, 0.0086148522005664516, 0.0086154690386958301, 0.0086161108412373712, 0.0086167783262819202, 0.0086174722660068426, 0.0086181934912411395, 0.0086189428965050049, 0.0086197214455795406, 0.0086205301776699599, 0.0086213702142337971, 0.008622242766556135, 0.0086231491441650446, 0.008624090764194129, 0.0086250691618142711, 0.0086260860018751839, 0.0086271430919184402, 0.0086282423967483177, 0.0086293860547762228, 0.0086305763963886051, 0.008631815964628942, 0.0086331075385321383, 0.0086344541595071312, 0.0086358591612310121, 0.008637326203599506, 0.0086388593113758995, 0.0086404629182979358, 0.0086421419175437796, 0.0086439017196298373, 0.0086457483190224369, 0.0086476883710008071, 0.0086497292806222911, 0.0086518793060274598, 0.0086541476788012973, 0.008656544744702354, 0.0086590821288165844, 0.0086617729301288332, 0.0086646319516884181, 0.0086676759740497156, 0.0086709240815926736, 0.0086743980538045561, 0.0086781228368124717, 0.0086821271146426925, 0.0086864440051849425, 0.0086911119131296531, 0.0086961755818835158, 0.0087016873995900985, 0.0087077090322307919, 0.0087143134812996265, 0.0087215876975864567, 0.0087296359304011618, 0.0087385840595030958, 0.0087485852548101553, 0.0087598274517721869, 0.0087725433419806858, 0.0087870238975349887, 0.0088036369368469682, 0.0088228530044259998, 0.0088452820586972722, 0.0088717264585853935, 0.008903259088151207, 0.0089413412363872971, 0.008988005140091548, 0.0090461450908532019, 0.0091199974995516998, 0.0092159637065074348, 0.0093440848799366399, 0.0095208285929234034, 0.0097746927520570674, 0.010158351137996543, 0.010777461474505983, 0.011866732446126455, 0.014015450905067665, 0.018869097884584855, 0.029911354716397803, 0.036357234559946681, 0.023418962027986198, 0.015541193662263598, 0.012324830203795956, 0.010856543580192017, 0.010092001787100428, 0.0096512028123702347, 0.0093769373200969786, 0.0091961471084892003, 0.0090715436765209274, 0.008982616806000418, 0.008917384292472354, 0.0088684936164348631, 0.0088312471802651539, 0.0088025421398520449, 0.0087802727496802332, 0.0087629792575580571, 0.0087496343791556245, 0.0087395097304120636, 0.0087320905073887452, 0.0087270203793094001, 0.0087240660885605434, 0.0087230955782183119, 0.0087235799543913545, 0.0087250437297037124, 0.0087275193065408322, 0.0087310622628188651, 0.0087357538354141395, 0.0087417046562696006, 0.0087490600361173187, 0.0087580072324780853, 0.0087687853364491492, 0.0087816986973781441, 0.0087971352237145323, 0.0088155915288108781, 0.0088377078578204728, 0.0088643172464496437, 0.008896515784761418, 0.0089357648231945756, 0.0089840426077415301, 0.0090440742948722005, 0.0091196896620572201, 0.0092163952326264065, 0.0093423188118620815, 0.0095098259528847047, 0.0097384019214591111, 0.010060034886054395, 0.010529814634923789, 0.011248045667151861, 0.012409174603052084, 0.014414579053927805, 0.01811820818244304, 0.025057758303307556, 0.034884797478756335, 0.0364851211124122, 0.027409959674866938, 0.019846474622600706, 0.015636691685327418, 0.013322051624734172, 0.011967484309650032, 0.011120348193676468, 0.010559404429547774, 0.010170060193672342, 0.0098891733072049865, 0.0096799502467103567, 0.0095198861576229234, 0.0093946311175269678, 0.0092947020741439984, 0.0092136356878993637, 0.0091469068745807774, 0.0090912721858718085, 0.0090443581230981035, 0.0090043955633781324, 0.0089700440397316988, 0.0089402728034248518, 0.0089142786583200906, 0.0088914281406700883, 0.0088712161432549976, 0.0088532358513277662, 0.0088371565904451586, 0.0088227072932981019, 0.0088096640135841269, 0.0087978403927554804, 0.0087870803072980942, 0.0087772521442314021, 0.0087682443050734575, 0.0087599616456584591, 0.0087523226353595149, 0.0087452570740277936, 0.0087387042447465389, 0.0087326114096946128, 0.0087269325780422388, 0.008721627490961616, 0.0087166607810133488, 0.0087120012724169211, 0.0087076213957891363, 0.0087034966963863529, 0.0086996054191148166, 0.0086959281568748225, 0.0086924475513963668, 0.0086891480377724595, 0.0086860156255221203, 0.0086830377103140708, 0.0086802029115239446, 0.0086775009316382903, 0.0086749224341991261, 0.0086724589375364383, 0.0086701027219887646, 0.0086678467486827424, 0.0086656845882486667, 0.0086636103581012747, 0.0086616186671252503, 0.0086597045667788277, 0.0086578635077753409, 0.0086560913016242701, 0.0086543840864163561, 0.0086527382963239238, 0.0086511506343607339, 0.008649618048007993, 0.0086481377073657738, 0.008646706985534278, 0.0086453234409679947, 0.0086439848015784932, 0.0086426889503902378, 0.0086414339125781142, 0.0086402178437363312, 0.0086390390192467477, 0.0086378958246303237, 0.0086367867467792188, 0.0086357103659787451, 0.008634665348639289, 0.0086336504406667562, 0.0086326644614086439, 0.0086317062981193116, 0.0086307749008946739, 0.0086298692780313307, 0.0086289884917705208, 0.0086281316543909223, 0.0086272979246184659, 0.0086264865043242916, 0.008625696635485151, 0.0086249275973829132, 0.0086241787040222777, 0.0086234493017478663, 0.008622738767043522, 0.0086220465044985171, 0.0086213719449265633, 0.008620714543625169, 0.0086200737787635665, 0.0086194491498891093, 0.0086188401765423701, 0.0086171026586338607, 0.0086154904107807063, 0.008613993029510613, 0.008612601084216763, 0.0086113059537437538, 0.0086100996944262521, 0.0086089749334225547, 0.0086079247825189345, 0.0086069427686017389, 0.0086060227777809695, 0.0086051590107600589, 0.0086043459475243032, 0.0086035783197961416, 0.0086028510900036798, 0.0086021594357468568, 0.0086014987389379932, 0.0086008645789503319, 0.0086002527292388074, 0.0085996591570082839, 0.0085990800256022307, 0.0085985116993743064, 0.0085979507508925513, 0.0085973939704152309, 0.0085968383776757543, 0.0085962812361282497, 0.0085957200699444732, 0.008595152684228646, 0.0085945771891459723, 0.0085939920289651358, 0.0085933960174270525, 0.0085927883814174467, 0.008592168815705778, 0.0085915375526168288, 0.0085908954520714474, 0.0085902441196943798, 0.008589586063986146, 0.0085889249084358538, 0.0085882656817756337, 0.0085876152207477359, 0.0085869827370859218, 0.0085863806278155003, 0.0085858256522030763, 0.0085853406717095494, 0.0085849572729277731, 0.0085847198087225744, 0.0085846917794267386, 0.0085849661954261365, 0.0085856829561784635, 0.008587059107872743, 0.0085894438922899299, 0.0085934242896796957, 0.0086000406496714605, 0.0086112633178731298, 0.0086311572267774774, 0.0086691305234422762, 0.0087508347339656494, 0.0089665520742731666, 0.0098234959336875299, 0.02168437289305708, 0.017961463321147567, 0.010030736365543743, 0.0091750613762765134, 0.0089158259321166101, 0.0088019208397786784, 0.0087410658569553046, 0.0087043853055580947, 0.0086804060195547431, 0.0086638021790359666, 0.0086518137968229769, 0.0086428878673024314, 0.008636092802345301, 0.008630840398498825, 0.0086267433161919902, 0.0086235373392491363, 0.008621036728984021, 0.0086191074467008525, 0.0086176504859758751, 0.0086165911593897495, 0.0086158720167738879, 0.0086154480470440539, 0.0086152833554077393, 0.0086153488170683003, 0.0086156203914083754, 0.0086160778917571887, 0.0086167040750737521, 0.0086174839599858881, 0.0086184043103094271, 0.0086194532401762773, 0.0086206199097100325, 0.0086218942889581159, 0.0086232669738826647, 0.0086247290425028687, 0.0086262719423399071, 0.0086278874025217701, 0.0086295673655129648, 0.008631303934617595, 0.0086330893342833857, 0.0086349158808923365, 0.0086367759622197407, 0.008638662024120369, 0.0086405665632875266, 0.0086424821251509607, 0.0086444013061484429, 0.0086463167597362021, 0.0086482212056026141, 0.0086501074416271972, 0.0086519683581848562, 0.0086537969544405145, 0.008655586356312665, 0.0086573298358101312, 0.0086590208314646748, 0.0086606529695966682, 0.0086622200861613836, 0.0086637162489314121, 0.0086651357797775646, 0.0086664732768163451, 0.0086677236361976124, 0.0086688820733128204, 0.0086699441432100382, 0.0086709057600114856, 0.008671763215137844, 0.0086725131941555525, 0.0086731527920760471, 0.0086736795269505857, 0.0086740913516214872, 0.0086743866635080359, 0.00867456431232572, 0.0086746236056585331, 0.0086745840733139009, 0.0086744655889795901, 0.0086742684903929508, 0.0086739933392475984, 0.0086736409193984877, 0.0086732122343652473, 0.0086727085041496156, 0.0086721311613873371, 0.008671481846858833, 0.008670762404386724, 0.0086699748751521925, 0.0086691214914650858, 0.0086682046700258791, 0.0086672270047201284, 0.0086661912589882303, 0.0086651003578156263, 0.0086639573793891832, 0.0086627655464679206, 0.0086615282175158455, 0.0086602488776457778, 0.0086589311294230243, 0.0086575786835772859, 0.0086561953496711499, 0.0086547850267722163, 0.0086533516941751706, 0.0086518994022191514, 0.0086504322632438482, 0.0086489544427267254, 0.0086474701506420379, 0.0086459836330807401, 0.0086444991641687393, 0.0086430210383195184, 0.0086415535628553489, 0.0086401010510305607, 0.0086386678154886445, 0.0086372581621840423, 0.0086358763847993701, 0.0086345267596877034, 0.0086332135413699097, 0.0086319409586174678, 0.0086307132111516846, 0.0086295344669917486, 0.0086284088604857354, 0.0086273404910610745, 0.0086263334227340074, 0.0086253916844210351, 0.0086245192710999383, 0.0086237201458727805, 0.0086229982429894391, 0.0086223574718967601, 0.008621801722386099, 0.0086213348709206581, 0.0086209607882333818, 0.0086206833482967739, 0.0086205064387773391, 0.0086204339731000296, 0.0086204699042612184, 0.0086206182405430421, 0.0086208830632972279, 0.0086212685469816593, 0.0086217789816491665, 0.0086224187981039108, 0.008623192595955842, 0.0086241051748181669, 0.0086251615689047784, 0.0086263670852938755, 0.0086277273461283117, 0.0086292483350217785, 0.0086309364479292428, 0.0086327985487184497, 0.0086348420296420078, 0.0086370748768530535, 0.0086395057410253492, 0.0086421440130244939, 0.0086449999044218816, 0.0086480845324367842, 0.008651410008621685, 0.0086549895302567952, 0.0086588374729717876, 0.0086629694825459506, 0.0086674025631236652, 0.0086721551581912595, 0.0086772472195561067, 0.0086827002582089592, 0.0086885373692876192, 0.0086947832213422147, 0.0087014639976724078, 0.0087086072746057133, 0.0087162418181561153, 0.0087243972764922042, 0.0087331037410195208, 0.0087423911436402667, 0.008752288451936853, 0.0087628226177659495, 0.0087740172282856094, 0.0087858908022004356, 0.0087984546686680903, 0.0088117103629025348, 0.0088256464725367228, 0.008840234874421855, 0.0088554263156986786, 0.0088711453196246171, 0.0088872844408921688, 0.0089036979633255915, 0.0089201952322563571, 0.0089365339524158059, 0.0089524139670075168, 0.0089674722690028449, 0.0089812802793989843, 0.0089933447450858562, 0.0090031139278809701, 0.0090099910154824003, 0.0090133567883405492, 0.0090126033887259274, 0.0090071803927939623, 0.0089966531111491544, 0.0089807710146612412, 0.0089595414084363244, 0.0089333002017755077, 0.0089027684143015377, 0.0088690808302591892, 0.0088337730982751151, 0.0087987166230796797, 0.0087659973171113053, 0.0087377441706666253, 0.0087159249021483993, 0.0087021358663289198, 0.0086974188308608542], [0.0087801703688422834, 0.0087801175672782266, 0.0087799592924903986, 0.0087796959337682438, 0.0087793281385187463, 0.008778856810164503, 0.008778283105223831, 0.0087776084295947202, 0.0087768344340712207, 0.0087759630091264265, 0.0087749962790012077, 0.0087739365951436301, 0.0087727865290484625, 0.0087715488645504387, 0.0087702265896290686, 0.0087688228877865204, 0.0087673411290631106, 0.0087657848607577155, 0.0087641577979234719, 0.0087624638137107219, 0.0087607069296320346, 0.0087588913058252414, 0.0087570212313935313, 0.0087551011149027066, 0.0087531354751188423, 0.0087511289320723398, 0.0087490861985375697, 0.0087470120720225392, 0.0087449114273680691, 0.008742789210063889, 0.0087406504303986568, 0.0087385001585726426, 0.0087363435209181477, 0.0087341856973922882, 0.0087320319205322489, 0.0087298874760951238, 0.0087277577056456921, 0.0087256480114067322, 0.0087235638637523476, 0.008721510811808263, 0.0087194944977291196, 0.0087175206753585081, 0.0087155952341516976, 0.0087137242294645697, 0.0087119139206023252, 0.0087101708183977226, 0.0087085017445811142, 0.0087069139058520272, 0.0087054149864194755, 0.0087040132639215756, 0.0087027177551712749, 0.0087015384002553653, 0.0087004862963558135, 0.0086995739965796421, 0.0086988158945350089, 0.0086982287230576768, 0.0086978322063920172, 0.0086976499208123639, 0.0086977104415201581, 0.0086980488874026981, 0.0086987090258309717, 0.0086997461767302862, 0.0087012312745727849, 0.0087032566355328984, 0.0087059442811186355, 0.0087094581711503975, 0.0087140225473703332, 0.0087199500648609176, 0.0087276860376691249, 0.0087378800513334375, 0.0087515057307372291, 0.0087700687791115069, 0.0087959847241573432, 0.0088333018562591105, 0.0088891755106758185, 0.0089771193433879348, 0.0091249220700760619, 0.0093965946671306488, 0.0099650664904980674, 0.011424719168426448, 0.016829913015347194, 0.053669032727479644, 0.039362172565718979, 0.016690079721910844, 0.012354091169755152, 0.010898758455538272, 0.010242337167866924, 0.0098938430848679246, 0.0096905475571469075, 0.0095660032377731085, 0.0094890886021767856, 0.0094438526683600071, 0.0094217099249804398, 0.0094180675238415834, 0.0094307721763796874, 0.0094594056278523766, 0.0095050462259001593, 0.0095703624859026608, 0.0096600437717566223, 0.0097817023596363101, 0.0099475801587970807, 0.010177797925317235, 0.010506826118056506, 0.010997273764362641, 0.011771962828708462, 0.013097196505324333, 0.01562978774228942, 0.021256434621998003, 0.035660809845992958, 0.057209975851782932, 0.037651981435454167, 0.020656507419025628, 0.014474889730081087, 0.011937378451885246, 0.01071178467739819, 0.010043529388316852, 0.0096457979028458721, 0.0093932888578706249, 0.0092250031796331997, 0.0091086391798032851, 0.0090259194431777569, 0.0089659414465118638, 0.0089219232151269978, 0.0088895071807107394, 0.0088658295546344759, 0.0088489884294841586, 0.0088377307930727501, 0.0088312661402559049, 0.0088291578094170566, 0.0088299240448260954, 0.0088322522664671718, 0.0088362333130455606, 0.0088420265286775612, 0.0088498728112587546, 0.0088601153811331979, 0.0088732314129717459, 0.0088898797129425885, 0.0089109730152446553, 0.0089377893431970782, 0.0089721474270121927, 0.0090166908625045183, 0.0090753640521859524, 0.0091542413383866299, 0.0092630398615129814, 0.0094180355788552501, 0.0096480652156113438, 0.010007902059240983, 0.010611106512704183, 0.011720825005989139, 0.014036631154103828, 0.019670892933476083, 0.033269915003731151, 0.038073942884499765, 0.02320463083985665, 0.015692647676075186, 0.012640626551166783, 0.011207898886789034, 0.010437668522376051, 0.0099793764353130338, 0.0096852983084260713, 0.0094854089051273453, 0.009343275652462615, 0.0092384898230489648, 0.0091589172349935567, 0.009096982330694196, 0.0090477592176556928, 0.009007932937729982, 0.0089752061112458262, 0.0089479456137742976, 0.0089249644938118097, 0.0089053830837468855, 0.0088885380760891815, 0.0088739215293295402, 0.0088611390505018151, 0.0088498805592359415, 0.0088398994840866545, 0.0088309977202612015, 0.0088230145934124742, 0.0088158186538547963, 0.0088093015000834871, 0.0088033730769631821, 0.0087979580589468715, 0.0087929930408797204, 0.0087884243363429843, 0.0087842062376143112, 0.0087802996296404215, 0.0087766708778680719, 0.008773290929658362, 0.0087701345835537615, 0.0087671798914109745, 0.0087644076664210868, 0.0087618010760586017, 0.0087593453035631624, 0.0087570272650415656, 0.0087548353719569798, 0.0087527593308467638, 0.0087507899737278971, 0.008748919113916542, 0.0087471394229891048, 0.0087454443254053448, 0.0087438279079470622, 0.0087422848416331706, 0.0087408103141803258, 0.008739399971409342, 0.0087380498662659213, 0.0087367564143441129, 0.0087355163549804535, 0.0087343267171350047, 0.0087331847893976529, 0.0087320880935596468, 0.0087310343612744673, 0.0087300215134029253, 0.0087290476416959587, 0.0087281109925188283, 0.0087272099523614515, 0.0087263430349157622, 0.008725508869530281, 0.0087247061908779303, 0.0087239338296949496, 0.0087231907044668152, 0.0087224758139536809, 0.0087217882304608547, 0.0087211270937721415, 0.0087204916056736401, 0.0087198810250046326, 0.0087192946631795849, 0.0087187318801322071, 0.0087181920806378623, 0.0087176747109761199, 0.008717179255899132, 0.0087167052358758136, 0.0087162522045849573, 0.0087158197466331681, 0.0087154074754767809, 0.0087150150315283646, 0.0087146420804311755, 0.0087142883114863373, 0.0087139534362192586, 0.0087136371870731553, 0.0087133393162189751, 0.0087130595944718663, 0.008712797810305685, 0.0087125537689576905, 0.0087123272916165093, 0.0087121182146871635, 0.0087119263891276191, 0.0087117516798518885, 0.0087115939651954289, 0.0087114531364387258, 0.0087113290973859087, 0.0087112217639951205, 0.0087111310640582661, 0.0087110569369278114, 0.0087109993332886229, 0.0087109582149735021, 0.0087109335548209189, 0.0087109253365741483, 0.0087109335548209224, 0.0087109582149735038, 0.0087109993332886246, 0.0087110569369278114, 0.0087111310640582765, 0.008711221763995124, 0.0087113290973859173, 0.0087114531364387276, 0.0087115939651954254, 0.0087117516798518937, 0.0087119263891276191, 0.0087121182146871722, 0.0087123272916165093, 0.0087125537689576888, 0.0087127978103056815, 0.0087130595944718645, 0.0087133393162189803, 0.0087136371870731606, 0.0087139534362192534, 0.0087142883114863356, 0.0087146420804311807, 0.0087150150315283715, 0.0087154074754767878, 0.0087158197466331664, 0.0087162522045849521, 0.0087167052358758171, 0.0087171792558991285, 0.0087176747109761147, 0.0087181920806378675, 0.0087187318801322002, 0.0087192946631795883, 0.008719881025004636, 0.0087204916056736435, 0.0087211270937721363, 0.0087217882304608599, 0.0087224758139536861, 0.0087231907044668169, 0.0087239338296949531, 0.0087247061908779303, 0.0087255088695302775, 0.0087263430349157674, 0.008727209952361455, 0.0087281109925188248, 0.0087290476416959605, 0.0087300215134029253, 0.0087310343612744725, 0.0087320880935596451, 0.0087331847893976546, 0.0087343267171350047, 0.00873551635498045, 0.0087367564143441111, 0.0087380498662659213, 0.0087393999714093437, 0.0087408103141803292, 0.0087422848416331706, 0.0087438279079470691, 0.0087454443254053379, 0.0087471394229891048, 0.0087489191139165472, 0.0087507899737279023, 0.0087527593308467655, 0.0087548353719569781, 0.0087570272650415674, 0.008759345303563159, 0.0087618010760586, 0.0087644076664210851, 0.0087671798914109728, 0.0087701345835537632, 0.0087732909296583672, 0.0087766708778680667, 0.008780299629640418, 0.0087842062376143129, 0.008788424336342986, 0.0087929930408797222, 0.0087979580589468646, 0.0088033730769631804, 0.0088093015000834836, 0.0088158186538547911, 0.0088230145934124708, 0.0088309977202611981, 0.0088398994840866545, 0.0088498805592359328, 0.0088611390505018081, 0.0088739215293295245, 0.0088885380760891711, 0.0089053830837468907, 0.0089249644938117975, 0.0089479456137742976, 0.0089752061112458193, 0.0090079329377299577, 0.0090477592176556876, 0.0090969823306941266, 0.0091589172349935636, 0.0092384898230487567, 0.0093432756524624554, 0.0094854089051269394, 0.0096852983084252716, 0.0099793764353128464, 0.010437668522374467, 0.011207898886788059, 0.012640626551164416, 0.01569264767607351, 0.023204630839834536, 0.038073942884510256, 0.033269915003740838, 0.019670892933479029, 0.014036631154099978, 0.011720825005989251, 0.010611106512703189, 0.010007902059240716, 0.0096480652156109032, 0.0094180355788552831, 0.0092630398615129693, 0.0091542413383865501, 0.0090753640521860374, 0.0090166908625045044, 0.008972147427012243, 0.0089377893431970435, 0.0089109730152446536, 0.0088898797129425972, 0.0088732314129717528, 0.0088601153811331945, 0.0088498728112587615, 0.0088420265286775646, 0.0088362333130455554, 0.0088322522664671683, 0.0088299240448260936, 0.0088291578094170636, 0.0088295403199950117, 0.0088306952113026381, 0.0088326448429154551, 0.0088354274351525857, 0.0088390985660401749, 0.0088437334046211451, 0.0088494298348106588, 0.008856312694512404, 0.0088645394503504282, 0.0088743077618784628, 0.0088858655797603783, 0.0088995246999242113, 0.0089156791069980295, 0.0089348300608837455, 0.0089576208339306879, 0.0089848855003974142, 0.0090177185708390419, 0.0090575761780748512, 0.0091064260906401923, 0.0091669751626097598, 0.0092430229833480836, 0.0093400275652108684, 0.0094660397225399349, 0.0096333038726191533, 0.0098611175793067822, 0.010181190344468941, 0.010648252236160057, 0.01136239584028292, 0.012519348563505985, 0.01453028017658705, 0.018304610281000173, 0.025664804460738766, 0.037072307872015646, 0.039762398125958887, 0.02914176236152444, 0.02053061884948542, 0.015941023646605323, 0.013490829949832604, 0.012083968112180233, 0.011215403499438722, 0.010645576191977387, 0.010252830552158258, 0.0099710559895658385, 0.0097621217881045819, 0.0096028881608011159, 0.0094786924167246083, 0.0093798942568401912, 0.0092999512169246474, 0.0092342994992133144, 0.0091796782439141598, 0.0091337078495606541, 0.0090946190439864568, 0.0090610742449229696, 0.009032047015628264, 0.0090067390150219938, 0.0089845216971928439, 0.0089648946833977873, 0.0089474555752398783, 0.0089318777527878229, 0.0089178938323094606, 0.0089052831928656435, 0.0088938624666998947, 0.0088834782148030401, 0.0088740012317904474, 0.0088653220783912155, 0.0088573475479406614, 0.008849997849988472, 0.0088432043492109921, 0.0088369077377816949, 0.0088310565486421425, 0.0088256059387861203, 0.0088205166878433574, 0.0088157543694234123, 0.0088112886619164891, 0.0088070927725071007, 0.008803142953590944, 0.0087994180949965313, 0.0087958993786981538, 0.0087925699852838702, 0.0087894148434768445, 0.0087864204156226818, 0.0087835745133436303, 0.0087808661385934995, 0.0087782853461790909, 0.0087758231244881284, 0.008773471291710886, 0.0087712224052905186, 0.0087690696827032316, 0.008767006931971813, 0.0087650284905649543, 0.0087631291715418638, 0.0087613042159735231, 0.0087595492508157641, 0.0087578602515295308, 0.0087562335088448053, 0.0087546655991500768, 0.008753153358060867, 0.0087516938567822871, 0.0087502843809322845, 0.0087489224115364275, 0.0087476056079429237, 0.0087463317924390532, 0.0087450989363776939, 0.0087439051476468164, 0.0087427486593352945, 0.0087416278194663109, 0.0087405410816848508, 0.008739486996799611, 0.0087384642050909317, 0.0087374714293066372, 0.0087365074682765904, 0.0087355711910846925, 0.0087346615317433728, 0.0087337774843222228, 0.008732918098487169, 0.0087320824754115525, 0.0087312697640242899, 0.0087304791575642318, 0.0087297098904126642, 0.0087289612351790294, 0.0087282325000173269, 0.0087275230261528794, 0.0087268321856012205, 0.0087261593790625095, 0.0087255040339767366, 0.0087248656027258831, 0.0087242435609711892, 0.0087236374061140879, 0.0087219095338389625, 0.0087203083573922507, 0.0087188230871540744, 0.0087174439805881992, 0.008716162163176994, 0.0087149694843050469, 0.0087138584010986782, 0.0087128218847738852, 0.0087118533452213622, 0.0087109465704578951, 0.0087100956782690791, 0.008709295077909086, 0.008708539440146516, 0.0087078236742793892, 0.0087071429110076384, 0.00870649249026457, 0.0087058679532817235, 0.0087052650383044536, 0.0087046796794962595, 0.008704108008674924, 0.0087035463596192731, 0.008702991274777104, 0.0087024395142984001, 0.0087018880674197656, 0.0087013341663435915, 0.0087007753028980842, 0.0087002092484444737, 0.0086996340777320477, 0.0086990481977137959, 0.0086984503827577525, 0.0086978398182701398, 0.0086972161555546393, 0.0086965795818714983, 0.0086959309112852202, 0.0086952717042361339, 0.0086946044272046136, 0.0086939326689302529, 0.008693261437318054, 0.0086925975729005029, 0.0086919503330007593, 0.00869133222975213, 0.0086907602521459713, 0.0086902576802627279, 0.008689856832521093, 0.008689603319038881, 0.0086895627939390738, 0.0086898319858119116, 0.0086905573205167987, 0.0086919675915111631, 0.0086944339231819663, 0.0086985859345903912, 0.008705552055210241, 0.0087174990017468285, 0.0087389763545050961, 0.0087807685459320474, 0.0088733242003194504, 0.0091301569947878566, 0.010270424940485908, 0.036367319106749438, 0.014565980937609864, 0.0098880077256880122, 0.0092169838712070993, 0.0089959128340319043, 0.0088947043283396435, 0.0088392834614514897, 0.0088053228907514335, 0.0087828583455603158, 0.0087671657901636536, 0.0087557586021261812, 0.0087472206276915706, 0.0087406941596236999, 0.0087356333605156013, 0.0087316764142185387, 0.0087285751265455125, 0.0087261541721881664, 0.0087242864849499807, 0.0087228778486326281, 0.0087218569413932551, 0.0087211687246552157, 0.0087207699455704307, 0.0087206260110418727, 0.0087207087731501921, 0.0087209949332605636, 0.0087214648742894915, 0.0087221017945413627, 0.0087228910574083801, 0.0087238196979053002, 0.0087248760447405753, 0.0087260494286110178, 0.0087273299556346554, 0.0087287083305672281, 0.0087301757184917693, 0.0087317236365602596, 0.008733343869454388, 0.0087350284037571533, 0.0087367693775515804, 0.0087385590423989055, 0.0087403897354761968, 0.0087422538601263505, 0.008744143873433894, 0.0087460522797142767, 0.0087479716290151961, 0.0087498945198902431, 0.0087518136058299858, 0.0087537216048305978, 0.0087556113116547107, 0.0087574756123943148, 0.0087593075009887878, 0.0087611000973830677, 0.008762846667035272, 0.0087645406415005622, 0.0087661756398317962, 0.0087677454905470357, 0.0087692442539216309, 0.0087706662443687335, 0.0087720060526777065, 0.0087732585678849621, 0.0087744189985582716, 0.0087754828932813805, 0.0087764461601348605, 0.0087773050849778364, 0.0087780563483467466, 0.0087786970408002193, 0.0087792246765536989, 0.008779637205264524, 0.0087799330218457008, 0.0087801109742068721, 0.0087801703688422834, 0.0087801307689584444, 0.0087800120821999155, 0.008779814646883816, 0.0087795390256687061, 0.0087791860037575963, 0.0087787565863984875, 0.0087782519956981896, 0.0087776736667698509, 0.0087770232432385509, 0.0087763025721330368, 0.0087755136981955799, 0.0087746588576449701, 0.0087737404714307056, 0.0087727611380190636, 0.0087717236257538935, 0.0087706308648371999, 0.0087694859389753944, 0.0087682920767391623, 0.0087670526426848246, 0.0087657711282859759, 0.0087644511427241462, 0.0087630964035867887, 0.0087617107275208463, 0.0087602980208886811, 0.0087588622704726001, 0.0087574075342729159, 0.0087559379324428557, 0.0087544576384021213, 0.0087529708701696071, 0.0087514818819536128, 0.0087499949560365716, 0.0087485143949896024, 0.0087470445142502403, 0.0087455896350959912, 0.0087441540780442712, 0.0087427421567085207, 0.0087413581721396214, 0.0087400064076806963, 0.0087386911243633684, 0.0087374165568736232, 0.0087361869101156616, 0.0087350063564032906, 0.0087338790333094263, 0.0087328090422063038, 0.0087318004475313571, 0.0087308572768163596, 0.0087299835215212188, 0.0087291831387177419, 0.0087284600536733179, 0.0087278181633900498, 0.008727261341160605, 0.008726793442208905, 0.0087264183104909521, 0.0087261397867390116, 0.0087259617178405552, 0.008725887967652661, 0.0087259224293611392, 0.0087260690395033133, 0.0087263317937824447, 0.0087267147648102724, 0.0087272221219221111, 0.008727858153215343, 0.0087286272899660001, 0.0087295341335795248, 0.0087305834852284062, 0.0087317803783206697, 0.0087331301139266359, 0.0087346382992653411, 0.0087363108893132937, 0.0087381542315436832, 0.0087401751137292857, 0.0087423808146427414, 0.0087447791573566462, 0.008747378564676488, 0.0087501881160227581, 0.0087532176048042646, 0.0087564775949809746, 0.0087599794750873577, 0.0087637355074600028, 0.0087677588697680064, 0.0087720636851610148, 0.0087766650364050208, 0.0087815789582469227, 0.0087868224009110783, 0.0087924131560615688, 0.0087983697347433498, 0.0088047111847307374, 0.0088114568323626567, 0.0088186259313477802, 0.0088262371982264724, 0.0088343082112656065, 0.0088428546466850326, 0.0088518893234902207, 0.0088614210261507773, 0.0088714530733825063, 0.0088819816020150721, 0.008892993538219273, 0.0089044642353648413, 0.0089163547699043673, 0.0089286089056854756, 0.0089411497650302915, 0.0089538762840492697, 0.0089666595822840214, 0.0089793394448804062, 0.0089917212002012178, 0.0090035733765027395, 0.0090146266345286306, 0.0090245745907152775, 0.0090330772540542399, 0.0090397678764756566, 0.0090442640306592978, 0.0090461836402040315, 0.009045166448534989, 0.0090409009787951015, 0.0090331563736890542, 0.0090218176083377236, 0.0090069214887398882, 0.0089886897034020617, 0.0089675541893767426, 0.0089441694833354689, 0.0089194068638256945, 0.0088943262208119409, 0.0088701238378452209, 0.0088480575215110126, 0.0088293543396084067, 0.0088151099316474656, 0.0088061910800786656, 0.0088031541931215453], [0.008876353979432915, 0.0088763011384324474, 0.0088761427453370387, 0.008875879189440803, 0.0088755111181574864, 0.0088750394349170671, 0.0088744652962438365, 0.0088737901080378941, 0.0088730155210886667, 0.0088721434258547515, 0.0088711759465492975, 0.0088701154345760588, 0.0088689644613655551, 0.0088677258106652033, 0.0088664024703413065, 0.0088649976237545822, 0.0088635146407738553, 0.0088619570684953797, 0.0088603286217382171, 0.0088586331733877272, 0.008856874744662015, 0.0088550574953772838, 0.0088531857142911362, 0.0088512638096037363, 0.008849296299699945, 0.0088472878042181458, 0.0088452430355344877, 0.0088431667907564893, 0.0088410639443247223, 0.0088389394413289375, 0.0088367982916544401, 0.0088346455650856678, 0.0088324863875098719, 0.0088303259383827031, 0.0088281694496421294, 0.0088260222062879652, 0.0088238895488842312, 0.0088217768782909399, 0.0088196896629951643, 0.0088176334494918206, 0.0088156138762660787, 0.0088136366920595621, 0.0088117077792689326, 0.0088098331835387844, 0.0088080191508867825, 0.0088062721740561831, 0.0088045990502572339, 0.0088030069530700104, 0.0088015035220885968, 0.0088000969749589143, 0.0087987962478986957, 0.008797611172725605, 0.0087965527010554871, 0.0087956331899506496, 0.0087948667683092809, 0.0087942698102997756, 0.0087938615520597313, 0.0087936649020624001, 0.0087937075160881093, 0.0087940232378601255, 0.0087946540512175604, 0.0087956527573908629, 0.008797086694902749, 0.0087990429821623722, 0.0088016360220119425, 0.0088050184297888759, 0.0088093972510725534, 0.0088150585422672421, 0.0088224055163033943, 0.0088320193373108962, 0.0088447589930055574, 0.0088619311747232549, 0.0088855911598776822, 0.0089191016779873299, 0.0089682316482007397, 0.0090434709339410335, 0.0091653452030632, 0.0093780420930919522, 0.0097898702195131342, 0.010720852807048336, 0.013436795184247455, 0.026098195354005465, 0.077009024350092548, 0.02615745540292919, 0.015007156771772031, 0.012106473162570554, 0.010965038337167866, 0.010405310163527505, 0.010094570571079256, 0.0099101538966414777, 0.0097985051516592137, 0.0097335426762752524, 0.0097017795556548873, 0.00969627318465369, 0.0097139780092813221, 0.0097546172040749984, 0.0098203786109806023, 0.0099162263931800651, 0.010050907163251957, 0.010239043598842729, 0.010505279854745612, 0.010892761409190311, 0.011481689012178272, 0.012433828200228371, 0.014112511763058902, 0.017454883823635314, 0.025277043444900307, 0.045302439000836359, 0.05988748254514667, 0.032949850333309397, 0.019068242217419772, 0.013999190058893749, 0.011817426284268637, 0.01072301973717796, 0.010109404026101517, 0.0097364046730595011, 0.0094956218139603255, 0.0093329190132507289, 0.0092190379109538464, 0.0091371431073423454, 0.0090770469054552837, 0.009032328405575385, 0.0089988073404968071, 0.0089736943344630154, 0.0089550980678974046, 0.0089417301459004256, 0.0089327245586025613, 0.0089275267326134767, 0.0089258272732967107, 0.0089264483430402074, 0.008928332753837984, 0.0089315455769645065, 0.0089362003270437723, 0.0089424671963102206, 0.0089505859863325248, 0.0089608854609508383, 0.0089738118928227289, 0.0089899712558872916, 0.0090101923093437782, 0.009035622621936773, 0.009067878129424143, 0.0091092825806890539, 0.0091632635093457353, 0.0092350322699690564, 0.0093328047780734478, 0.0094701104663749147, 0.0096704409091214315, 0.009977343733732609, 0.010478470454648732, 0.011369834246806196, 0.0131531406460518, 0.017332280343452876, 0.028526042566925033, 0.043427461225372922, 0.02875931034061464, 0.017691692255826251, 0.013475057174821985, 0.011638898560319579, 0.010703643125183864, 0.010168196261133564, 0.0098342839996762004, 0.0096122549432249311, 0.0094571158243244042, 0.0093443637817948594, 0.0092597571142877359, 0.0091945686410847358, 0.0091432114838532925, 0.009101975442603584, 0.0090683185044991583, 0.0090404516293240839, 0.009017085974606532, 0.0089972738416070116, 0.0089803056533756635, 0.0089656414970424522, 0.0089528645869679842, 0.0089416489783496443, 0.0089317367527812861, 0.0089229216269890287, 0.008915036997146077, 0.0089079470973381786, 0.0089015403777877936, 0.0088957244874755294, 0.0088904224313456261, 0.0088855695976783715, 0.0088811114372301814, 0.0088770016355706888, 0.0088732006621967882, 0.0088696746100584839, 0.0088663942608015502, 0.0088633343268223301, 0.0088604728328485743, 0.0088577906083889598, 0.0088552708688581453, 0.0088528988680666582, 0.0088506616084816324, 0.0088485475985138687, 0.0088465466482878438, 0.0088446496970610924, 0.008842848666797647, 0.0088411363374527041, 0.0088395062403587282, 0.0088379525667661423, 0.0088364700891215703, 0.0088350540930930716, 0.0088337003186954883, 0.0088324049091485727, 0.0088311643663276113, 0.0088299755118528382, 0.0088288354530163572, 0.0088277415528717658, 0.008826691403915829, 0.0088256828048783979, 0.0088247137402088643, 0.0088237823619081793, 0.0088228869734059499, 0.0088220260152249673, 0.0088211980522114458, 0.0088204017621399209, 0.0088196359255276521, 0.0088188994165151555, 0.0088181911946888809, 0.0088175102977374811, 0.0088168558348476235, 0.0088162269807566078, 0.008815622970389762, 0.0088150430940190459, 0.0088144866928873706, 0.0088139531552493388, 0.0088134419127854097, 0.0088129524373509842, 0.0088124842380267829, 0.0088120368584405761, 0.0088116098743333798, 0.0088112028913469066, 0.0088108155430109119, 0.008810447488911903, 0.00881009841302644, 0.0088097680222042514, 0.0088094560447877068, 0.0088091622293560001, 0.0088088863435832037, 0.008808628173200897, 0.0088083875210568374, 0.0088081642062620927, 0.0088079580634198799, 0.0088077689419301872, 0.0088075967053646235, 0.0088074412309070409, 0.0088073024088554039, 0.0088071801421815126, 0.0088070743461450152, 0.0088069849479592288, 0.0088069118865061313, 0.0088068551120985168, 0.0088068145862876847, 0.0088067902817152554, 0.0088067821820080414, 0.0088067902817152571, 0.0088068145862876882, 0.0088068551120985151, 0.0088069118865061313, 0.0088069849479592392, 0.0088070743461450204, 0.0088071801421815196, 0.0088073024088554056, 0.008807441230907034, 0.0088075967053646252, 0.0088077689419301872, 0.0088079580634198903, 0.0088081642062620927, 0.0088083875210568374, 0.00880862817320089, 0.008808886343583202, 0.008809162229356007, 0.0088094560447877085, 0.0088097680222042462, 0.00881009841302644, 0.0088104474889119083, 0.0088108155430109223, 0.0088112028913469101, 0.0088116098743333763, 0.0088120368584405744, 0.0088124842380267847, 0.008812952437350979, 0.0088134419127854063, 0.0088139531552493475, 0.0088144866928873619, 0.0088150430940190511, 0.0088156229703897637, 0.0088162269807566078, 0.00881685583484762, 0.0088175102977374881, 0.0088181911946888861, 0.0088188994165151573, 0.0088196359255276538, 0.0088204017621399244, 0.0088211980522114441, 0.0088220260152249673, 0.0088228869734059585, 0.0088237823619081758, 0.0088247137402088574, 0.0088256828048784031, 0.0088266914039158342, 0.0088277415528717623, 0.008828835453016359, 0.0088299755118528434, 0.0088311643663276061, 0.0088324049091485675, 0.0088337003186954918, 0.0088350540930930699, 0.0088364700891215703, 0.008837952566766144, 0.0088395062403587368, 0.0088411363374527024, 0.0088428486667976487, 0.0088446496970610976, 0.008846546648287849, 0.0088485475985138704, 0.0088506616084816341, 0.0088528988680666582, 0.0088552708688581401, 0.0088577906083889546, 0.0088604728328485725, 0.0088633343268223301, 0.0088663942608015502, 0.0088696746100584839, 0.0088732006621967865, 0.008877001635570687, 0.0088811114372301866, 0.0088855695976783697, 0.0088904224313456296, 0.0088957244874755224, 0.0089015403777877918, 0.0089079470973381734, 0.0089150369971460718, 0.0089229216269890253, 0.0089317367527812774, 0.0089416489783496408, 0.0089528645869679773, 0.0089656414970424436, 0.0089803056533756496, 0.0089972738416070012, 0.0090170859746065354, 0.00904045162932407, 0.0090683185044991566, 0.009101975442603577, 0.0091432114838532561, 0.0091945686410847202, 0.0092597571142876353, 0.0093443637817948524, 0.0094571158243241197, 0.0096122549432246622, 0.0098342839996755482, 0.010168196261132276, 0.010703643125183463, 0.011638898560316187, 0.013475057174819425, 0.017691692255819663, 0.02875931034060793, 0.043427461225368169, 0.028526042566913223, 0.017332280343457004, 0.013153140646052221, 0.011369834246804982, 0.010478470454648734, 0.0099773437337321372, 0.0096704409091212685, 0.0094701104663747065, 0.0093328047780734547, 0.009235032269969053, 0.0091632635093456746, 0.0091092825806891077, 0.0090678781294241291, 0.0090356226219368042, 0.0090101923093437557, 0.0089899712558872899, 0.0089738118928227341, 0.0089608854609508452, 0.0089505859863325248, 0.0089424671963102224, 0.0089362003270437723, 0.0089315455769644995, 0.0089283327538379822, 0.0089264483430402039, 0.0089258272732967193, 0.0089261373719036283, 0.0089270729611333789, 0.0089286501011270579, 0.0089308961688965745, 0.0089338508107956027, 0.008937567354007369, 0.0089421147634923329, 0.0089475802687700515, 0.008954072835117623, 0.008961727722106648, 0.00897071246746221, 0.0089812347688896146, 0.0089935529304495665, 0.0090079898238540814, 0.0090249517371201009, 0.0090449541214285365, 0.0090686572302440937, 0.0090969161886369047, 0.0091308525066821928, 0.0091719581140195083, 0.0092222498316094862, 0.0092845040338504024, 0.00936262238718342, 0.0094622186055538706, 0.0095915911786077293, 0.0097633975052357803, 0.0099976618048333177, 0.010327454312493196, 0.010810246377850892, 0.011552152289475093, 0.012763552555410045, 0.014895679917876214, 0.018980012597820912, 0.027198020103861815, 0.040212494586753245, 0.042114495699440688, 0.029552886437105991, 0.020484385677092223, 0.015870842298385576, 0.013453129294366178, 0.012076243324556993, 0.01122966414718311, 0.010675554409032416, 0.010294217652159618, 0.010020930175301163, 0.0098184707649215438, 0.0096642933222936683, 0.009544128955892928, 0.0094486044408493841, 0.0093713627122520259, 0.0093079716017910961, 0.0092552656858292046, 0.0092109359051177255, 0.0091732660553016602, 0.0091409591213052303, 0.0091130201334298673, 0.0090886754855608251, 0.0090673163123279419, 0.0090484580687036371, 0.0090317112253438334, 0.009016759720007525, 0.0090033449052740414, 0.0089912534469819682, 0.0089803080999150634, 0.0089703606045007517, 0.0089612861647257076, 0.0089529791172368988, 0.0089453495065872843, 0.0089383203560969588, 0.0089318254772828981, 0.0089258076996143812, 0.008920217430786052, 0.008915011478735425, 0.0089101520823309469, 0.0089056061094713399, 0.0089013443902997112, 0.0088973411600852571, 0.0088935735915979044, 0.0088900214008861434, 0.0088866665135546134, 0.0088834927811373646, 0.0088804857391357357, 0.0088776323998550708, 0.0088749210744230814, 0.0088723412193743474, 0.0088698833039915388, 0.008867538695247288, 0.0088652995577209286, 0.0088631587662980696, 0.0088611098298158088, 0.0088591468241089252, 0.0088572643331537755, 0.0088554573972068878, 0.0088537214670017812, 0.0088520523632064207, 0.0088504462404606181, 0.0088488995554098886, 0.0088474090382352176, 0.0088459716672476957, 0.0088445846461759035, 0.0088432453838242567, 0.0088419514758232981, 0.0088407006882292617, 0.0088394909427617248, 0.0088383203034949013, 0.0088371869648413235, 0.0088360892406863321, 0.0088350255545494652, 0.0088339944306633552, 0.0088329944858738327, 0.0088320244222762218, 0.0088310830205126558, 0.0088301691336636606, 0.008829281681674921, 0.008828419646266579, 0.0088275820662783132, 0.008826768033408294, 0.008825976688308923, 0.0088252072170057917, 0.0088244588476101213, 0.0088237308472978466, 0.0088230225195312807, 0.0088223332015017163, 0.008821662261773458, 0.008821009098111841, 0.0088203731354791343, 0.008819753824184309, 0.0088191506381734269, 0.0088174328934889287, 0.0088158432977595499, 0.0088143706567291574, 0.0088130049029478789, 0.008811736899661745, 0.008810558283514295, 0.0088094613381304709, 0.0088084388924398981, 0.0088074842389479491, 0.008806591068192442, 0.0088057534164139445, 0.0088049656240791422, 0.0088042223033726139, 0.0088035183131460713, 0.008802848740109448, 0.0088022088852842215, 0.0088015942549297971, 0.0088010005553101449, 0.008800423690798944, 0.008799859764934817, 0.0087993050841403148, 0.0087987561639152577, 0.0087982097374129636, 0.008797662766413597, 0.0087971124548299352, 0.0087965562650274658, 0.0087959919374252463, 0.0087954175140841691, 0.0087948313673091097, 0.0087942322347251984, 0.0087936192628857643, 0.0087929920623029574, 0.0087923507779691691, 0.0087916961811207381, 0.0087910297904332906, 0.0087903540344146623, 0.0087896724720840525, 0.0087889900970663393, 0.0087883137625767056, 0.0087876527840660794, 0.0087870198070454653, 0.0087864320776516076, 0.0087859133369012354, 0.008785496702166511, 0.0087852291503834855, 0.0087851786738686755, 0.0087854460405057139, 0.0087861847836063333, 0.0087876365432690041, 0.0087901965185844359, 0.008794541622771164, 0.0088018990481583716, 0.0088146589183940218, 0.0088379332235785073, 0.0088841492037871322, 0.0089897335863170936, 0.0092993917378665185, 0.010869139010725573, 0.077330383967869912, 0.012806004721387144, 0.0097966565086181363, 0.0092599811737890652, 0.0090697968344723729, 0.0089794174572014034, 0.0089287808613191869, 0.008897267086078596, 0.0088761867443448595, 0.0088613370882841217, 0.0088504727084086666, 0.0088422999499211587, 0.0088360280035616502, 0.0088311497599919547, 0.0088273269227434944, 0.0088243261641016268, 0.0088219818796985774, 0.0088201735472777949, 0.0088188114683067469, 0.0088178275091763455, 0.0088171689253287583, 0.0088167941430427887, 0.0088166698171196264, 0.008816768739718853, 0.0088170683290216597, 0.0088175495204654911, 0.0088181959423696207, 0.0088189932956880095, 0.0088199288824501107, 0.0088209912439990903, 0.0088221698813556876, 0.0088234550377574873, 0.0088248375288144144, 0.0088263086095347488, 0.0088278598702061228, 0.008829483155092922, 0.0088311704993578946, 0.0088329140806840227, 0.0088347061828687786, 0.0088365391692605422, 0.0088384054643589303, 0.0088402975422446455, 0.0088422079207671651, 0.0088441291606201847, 0.0088460538685897622, 0.0088479747043795458, 0.0088498843905086538, 0.008851775724848944, 0.0088536415954213622, 0.0088554749971122386, 0.0088572690500008707, 0.0088590170190128506, 0.008860712334629945, 0.0088623486144005816, 0.0088639196850036107, 0.0088654196046252364, 0.0088668426854148635, 0.0088681835157905387, 0.0088694369823697928, 0.0088705982913077231, 0.0088716629888298364, 0.0088726269807561028, 0.0088734865508212132, 0.0088742383776074813, 0.0088748795499197057, 0.0088754075804456083, 0.0088758204175627877, 0.0088761164551703561, 0.0088762945404438059, 0.008876353979432915, 0.0088763143499789986, 0.0088761955745982942, 0.0088759979918720273, 0.0088757221648987378, 0.0088753688794969872, 0.0088749391417054929, 0.0088744341745964246, 0.0088738554144222794, 0.0088732045061207451, 0.008872483298205551, 0.0088716938370753499, 0.0088708383607755889, 0.0088699192922514648, 0.0088689392321325798, 0.0088679009510921076, 0.0088668073818255807, 0.0088656616106950054, 0.0088644668690862991, 0.0088632265245277633, 0.008861944071618345, 0.0088606231228142325, 0.0088592673991220328, 0.0088578807207465582, 0.0088564669977397592, 0.008855030220696886, 0.0088535744515444836, 0.0088521038144631411, 0.0088506224869865768, 0.0088491346913168803, 0.0088476446858939631, 0.0088461567572554814, 0.0088446752122219099, 0.0088432043704393237, 0.0088417485573115875, 0.0088403120973515378, 0.0088388993079796009, 0.0088375144937977435, 0.008836161941365106, 0.0088348459145016229, 0.0088335706501455839, 0.0088323403547912061, 0.00883115920153274, 0.0088300313277426407, 0.0088289608334124556, 0.008827951780187162, 0.0088270081911254288, 0.0088261340512214397, 0.0088253333087267224, 0.0088246098773142063, 0.0088239676391308336, 0.0088234104487894729, 0.0088229421383559086, 0.0088225665233918806, 0.0088222874101207376, 0.008822108603787706, 0.0088220339182927942, 0.0088220671871792177, 0.0088222122760656073, 0.0088224730966139902, 0.0088228536221283561, 0.0088233579048794045, 0.0088239900952495724, 0.0088247544627869171, 0.0088256554192470225, 0.0088266975436861652, 0.0088278856096459333, 0.0088292246144364914, 0.0088307198104807683, 0.0088323767386218732, 0.0088342012632175171, 0.0088361996087434388, 0.0088383783974987102, 0.0088407446878424473, 0.0088433060121874511, 0.0088460704137238253, 0.0088490464805352602, 0.0088522433753924698, 0.0088556708590513868, 0.0088593393043351776, 0.008863259697627383, 0.0088674436236353387, 0.0088719032283869192, 0.0088766511543900365, 0.0088817004407078619, 0.0088870643793841873, 0.0088927563182033473, 0.0088987893982138428, 0.008905176212828941, 0.0089119283737158789, 0.0089190559672083052, 0.0089265668837833437, 0.0089344660024590471, 0.0089427542120839205, 0.0089514272528029865, 0.0089604743639856502, 0.0089698767302088481, 0.008979605725233715, 0.0089896209661463264, 0.0089998682068664088, 0.0090102771229977185, 0.0090207590693236507, 0.0090312049276757515, 0.0090414832064265108, 0.0090514386025783607, 0.009060891291113234, 0.0090696372598569573, 0.0090774500551456128, 0.0090840843347835248, 0.0090892816278629329, 0.009092778660979392, 0.0090943185106071665, 0.0090936646658927589, 0.0090906178229942722, 0.0090850348785554546, 0.0090768491580325988, 0.0090660904371755134, 0.0090529028494933696, 0.0090375584009405527, 0.0090204636351598477, 0.0090021571109986515, 0.0089832958510785779, 0.0089646298302423922, 0.008946964855698885, 0.0089311157166913034, 0.0089178530347125591, 0.0089078485529918566, 0.0089016243890666352, 0.0088995118206486711], [0.0089639185937290047, 0.0089638657577737115, 0.008963707379710556, 0.0089634438485238863, 0.0089630758111113561, 0.0089626041701808493, 0.0089620300813290001, 0.0089613549493234076, 0.008960580423617092, 0.0089597083931296159, 0.0089587409803342025, 0.0089576805346959273, 0.008956529625510681, 0.0089552910341986879, 0.008953967746110663, 0.0089525629419083125, 0.0089510799885838994, 0.0089495224301863706, 0.0089478939783245465, 0.008946198502519407, 0.0089444400204803185, 0.0089426226883811636, 0.0089407507912151567, 0.008938828733308278, 0.0089368610290740842, 0.0089348522940953159, 0.0089328072366206077, 0.0089307306495695956, 0.0089286274031443891, 0.0089265024381527565, 0.0089243607601574987, 0.0089222074345772489, 0.0089200475828794482, 0.0089178863800244527, 0.0089157290533435282, 0.0089135808830634513, 0.0089114472047287282, 0.008909333413820289, 0.008907244972930297, 0.0089051874219302132, 0.0089031663916666216, 0.0089011876218442008, 0.0088992569839141545, 0.008897380509990227, 0.0088955644290768313, 0.0088938152122331818, 0.0088921396287387697, 0.0088905448159025749, 0.0088890383659182629, 0.0088876284341737853, 0.0088863238747665472, 0.0088851344107799164, 0.0088840708493222072, 0.0088831453546710862, 0.0088823717974738092, 0.008881766204368733, 0.0088813473414163496, 0.0088811374775574665, 0.0088811633927742654, 0.0088814577225191111, 0.0088820607696798066, 0.0088830229748333451, 0.0088844083260683528, 0.0088862991298029031, 0.0088888027850566164, 0.008892061559400791, 0.0088962669503808607, 0.0089016812041212146, 0.0089086702758724261, 0.00891775558013202, 0.0089296975463821916, 0.0089456349052299683, 0.0089673255839313945, 0.0089975816193904011, 0.0090410952638794503, 0.0091061069447215225, 0.0092080347610422521, 0.0093781512994781744, 0.0096870179248790596, 0.010319122105943452, 0.011873767599664506, 0.017102234040505249, 0.046337950982311985, 0.055541979759454491, 0.021262676416645077, 0.014363854084462375, 0.012139285497486774, 0.01116365051912256, 0.010657302796527492, 0.010369313486306035, 0.010199597805254585, 0.010102425801836443, 0.010055264263461938, 0.010047015939326567, 0.010073177032402294, 0.01013392068562481, 0.010233747007470689, 0.010382377924123956, 0.010597237967294264, 0.010908739691053625, 0.011371477109960124, 0.012089411085964626, 0.013278149500781818, 0.015438986920109567, 0.019919723767862576, 0.030875171095846515, 0.056689125900964935, 0.056836901555408534, 0.029155767911512455, 0.017928876015081984, 0.013670710997685805, 0.011750477701468, 0.010753535188901842, 0.010180433782172049, 0.0098254693359528522, 0.0095929362222592126, 0.0094338984254709983, 0.0093214093827813059, 0.0092397257432556557, 0.0091791971042631641, 0.0091336711768953589, 0.0090990984024203816, 0.0090727447449131648, 0.0090527294535544343, 0.0090377445968716167, 0.0090268805666289913, 0.0090195158718786323, 0.0090152476375515798, 0.0090138492693420547, 0.009014363409592073, 0.0090159215584993905, 0.0090185718797418206, 0.0090223980148427425, 0.0090275245199856902, 0.0090341253111841015, 0.0090424361221508424, 0.0090527725574235367, 0.0090655562203728196, 0.0090813528375467585, 0.0091009286909379174, 0.009125335753978437, 0.0091560431328013732, 0.0091951455800054864, 0.0092457048632715345, 0.0093123294566264617, 0.0094022018587774647, 0.0095269930310426278, 0.0097066502572598964, 0.0099774546402736849, 0.010410755189617177, 0.011161629159240216, 0.012613994152786936, 0.015888474941629541, 0.024738979213649138, 0.044013951863384283, 0.035253172920470942, 0.019991662206660189, 0.014346750039239619, 0.012057960660770627, 0.010950363367613935, 0.010338543804254441, 0.0099668177263702099, 0.0097244904048809054, 0.0095577889431725203, 0.0094381579434926581, 0.0093493296974921682, 0.0092814971131585083, 0.0092284668095173744, 0.0091861729302761489, 0.0091518572479575445, 0.0091235952306534494, 0.009100010923887453, 0.0090800993918865158, 0.00906311275313622, 0.0090484850622157328, 0.0090357816142996577, 0.0090246640029494739, 0.0090148655752252931, 0.009006173892537531, 0.0089984180012169391, 0.0089914590618844041, 0.0089851833611856897, 0.0089794970376117309, 0.0089743220568988258, 0.0089695931095044763, 0.0089652551961841402, 0.0089612617324567601, 0.0089575730481840036, 0.0089541551907591967, 0.0089509789635855291, 0.0089480191483572013, 0.0089452538720036293, 0.0089426640882979188, 0.0089402331509586697, 0.0089379464602172189, 0.0089357911687265312, 0.008933755935674843, 0.0089318307202669936, 0.0089300066075208139, 0.008928275660717808, 0.0089266307959408389, 0.0089250656749946845, 0.0089235746136908569, 0.0089221525030256498, 0.0089207947412190125, 0.0089194971749363347, 0.0089182560483014144, 0.0089170679585425672, 0.0089159298173039376, 0.0089148388168107176, 0.0089137924002053691, 0.0089127882354785842, 0.0089118241925066344, 0.0089108983227807071, 0.008910008841474604, 0.0089091541115491786, 0.0089083326296346167, 0.0089075430134684247, 0.0089067839906978412, 0.008906054388881179, 0.0089053531265452825, 0.0089046792051748619, 0.0089040317020259701, 0.0089034097636695175, 0.0089028126001828491, 0.0089022394799175252, 0.0089016897247804882, 0.0089011627059732076, 0.0089006578401404097, 0.0089001745858853318, 0.0088997124406138915, 0.0088992709376743539, 0.008898849643762672, 0.0088984481565677117, 0.0088980661026327231, 0.00889770313541253, 0.0088973589335081312, 0.0088970331990621924, 0.0088967256563008881, 0.0088964360502092471, 0.008896164145328107, 0.0088959097246625873, 0.0088956725886927754, 0.0088954525544783225, 0.0088952494548497178, 0.008895063137679661, 0.0088948934652287003, 0.0088947403135601396, 0.0088946035720194432, 0.0088944831427744155, 0.0088943789404123518, 0.0088942908915914318, 0.0088942189347435887, 0.0088941630198266352, 0.0088941231081239146, 0.0088940991720899767, 0.008894091195241113, 0.0088940991720899802, 0.0088941231081239129, 0.0088941630198266317, 0.0088942189347435904, 0.008894290891591437, 0.0088943789404123588, 0.0088944831427744259, 0.0088946035720194466, 0.0088947403135601344, 0.008894893465228702, 0.0088950631376796593, 0.0088952494548497248, 0.008895452554478326, 0.0088956725886927736, 0.0088959097246625821, 0.0088961641453281035, 0.0088964360502092523, 0.0088967256563008915, 0.0088970331990621838, 0.0088973589335081364, 0.0088977031354125369, 0.0088980661026327283, 0.0088984481565677152, 0.0088988496437626685, 0.0088992709376743521, 0.0088997124406138967, 0.0089001745858853301, 0.0089006578401404062, 0.0089011627059732111, 0.0089016897247804812, 0.0089022394799175269, 0.0089028126001828491, 0.0089034097636695193, 0.0089040317020259666, 0.0089046792051748671, 0.0089053531265452859, 0.008906054388881179, 0.0089067839906978481, 0.0089075430134684247, 0.0089083326296346167, 0.0089091541115491821, 0.0089100088414746093, 0.0089108983227807019, 0.0089118241925066344, 0.0089127882354785876, 0.008913792400205376, 0.0089148388168107193, 0.0089159298173039376, 0.0089170679585425707, 0.0089182560483014092, 0.0089194971749363295, 0.0089207947412190125, 0.0089221525030256481, 0.0089235746136908586, 0.0089250656749946845, 0.0089266307959408476, 0.0089282756607178045, 0.0089300066075208122, 0.008931830720267004, 0.0089337559356748482, 0.0089357911687265347, 0.0089379464602172155, 0.0089402331509586697, 0.0089426640882979101, 0.0089452538720036275, 0.0089480191483572013, 0.0089509789635855309, 0.0089541551907591967, 0.0089575730481840036, 0.0089612617324567548, 0.0089652551961841402, 0.0089695931095044815, 0.0089743220568988293, 0.0089794970376117292, 0.0089851833611856845, 0.0089914590618844041, 0.0089984180012169339, 0.0090061738925375241, 0.0090148655752252897, 0.0090246640029494583, 0.0090357816142996542, 0.0090484850622157189, 0.0090631127531362113, 0.0090800993918864967, 0.0091000109238874392, 0.0091235952306534564, 0.0091518572479575254, 0.0091861729302761506, 0.0092284668095173605, 0.0092814971131584597, 0.0093493296974921578, 0.0094381579434925349, 0.0095577889431724926, 0.0097244904048804735, 0.00996681772636979, 0.010338543804253366, 0.010950363367611573, 0.012057960660770022, 0.01434675003923082, 0.019991662206652199, 0.035253172920446711, 0.044013951863388079, 0.024738979213673778, 0.01588847494162654, 0.012613994152788221, 0.011161629159240509, 0.010410755189616637, 0.0099774546402736451, 0.0097066502572596188, 0.0095269930310425393, 0.0094022018587773416, 0.0093123294566264739, 0.0092457048632715276, 0.0091951455800054448, 0.0091560431328014062, 0.0091253357539784266, 0.0091009286909379417, 0.0090813528375467429, 0.0090655562203728196, 0.0090527725574235402, 0.0090424361221508476, 0.0090341253111841015, 0.0090275245199856937, 0.0090223980148427408, 0.0090185718797418189, 0.0090159215584993888, 0.0090143634095920695, 0.0090138492693420634, 0.0090141060157884669, 0.009014880186774028, 0.0090161836974882951, 0.0090180368136831401, 0.0090204687847627862, 0.0090235187768350072, 0.0090272371569892762, 0.009031687201789998, 0.0090369473311349285, 0.009043114006139925, 0.0090503054807371981, 0.0090586666673003208, 0.0090683754758812164, 0.0090796511282331283, 0.0090927651526941915, 0.0091080560669949892, 0.0091259492052103187, 0.0091469838266969288, 0.00917185069816253, 0.0092014449999733381, 0.0092369420805020891, 0.0092799079879170542, 0.0093324641612071591, 0.0093975386345758801, 0.0094792594203022881, 0.0095835891401160091, 0.0097193840848356031, 0.0099002313672599592, 0.010147781427098686, 0.010498114479798924, 0.011014658398832441, 0.011816289848668487, 0.013143408303920691, 0.015525457600191063, 0.020213549873488893, 0.029902533703032346, 0.044462876231202118, 0.042950521976830393, 0.028592826285961249, 0.019799702488398022, 0.015494634123490615, 0.013251166794808079, 0.011970629507168495, 0.011180292873420622, 0.010661079096592831, 0.010302613296927074, 0.010045033548761545, 0.0098537967960026004, 0.0097079097157889028, 0.0095940457274788938, 0.0095034268277417056, 0.0094300853588075596, 0.0093698518827769472, 0.0093197431201250975, 0.0092775793639268134, 0.0092417382618719766, 0.0092109922126958049, 0.0091843984791666645, 0.0091612233762029, 0.0091408889840303362, 0.0091229350561959251, 0.0091069913680875518, 0.0090927573606452098, 0.0090799869604468106, 0.0090684771249685305, 0.0090580591037845454, 0.0090485917038728384, 0.0090399560503582749, 0.009032051474773645, 0.0090247922617008695, 0.00901810505483246, 0.0090119267739150865, 0.0090062029306525841, 0.0090008862585009754, 0.0089959355911695474, 0.0089913149394914779, 0.0089869927275105718, 0.0089829411571198999, 0.0089791356770793935, 0.0089755545372390087, 0.0089721784126700586, 0.0089689900854316527, 0.0089659741740730874, 0.0089631169028471722, 0.0089604059040978151, 0.0089578300484720302, 0.0089553792985594804, 0.0089530445823296795, 0.008950817683358819, 0.0089486911453431645, 0.0089466581888088727, 0.0089447126382662997, 0.0089428488583354632, 0.0089410616975995217, 0.0089393464391337284, 0.0089376987568166033, 0.0089361146766619992, 0.0089345905425224099, 0.0089331229856068669, 0.008931708897335397, 0.008930345405118674, 0.0089290298507076361, 0.0089277597708059663, 0.0089265328796788342, 0.008925347053526449, 0.0089242003164207596, 0.0089230908276290155, 0.0089220168701704215, 0.008920976840470822, 0.0089199692389967788, 0.0089189926617648241, 0.0089180457926340551, 0.0089171273963006333, 0.0089162363119226935, 0.0089153714473117519, 0.0089145317736343543, 0.0089137163205736357, 0.0089129241719061812, 0.0089121544614542622, 0.0089114063693779173, 0.0089106791187750188, 0.0089099719725608695, 0.0089092842306016419, 0.0089086152270789042, 0.0089079643280644411, 0.008907330929286774, 0.008906714454072805, 0.0089061143514492375, 0.0089044071190131635, 0.0089028295290179138, 0.0089013699618142577, 0.0089000180103068587, 0.0088987642652562943, 0.0088976001436674272, 0.0088965177512822652, 0.0088955097722574188, 0.0088945693806566275, 0.0088936901695628977, 0.0088928660945115177, 0.0088920914286350922, 0.0088913607274463905, 0.0088906688016022663, 0.0088900106963204512, 0.0088893816763820268, 0.0088887772158620579, 0.0088881929919017583, 0.0088876248819782597, 0.0088870689642499071, 0.0088865215206642267, 0.0088859790426182878, 0.0088854382390637227, 0.0088848960470584576, 0.0088843496448923146, 0.008883796468064236, 0.0088832342285782954, 0.0088826609382718705, 0.0088820749372178157, 0.008881474928687837, 0.0088808600227797078, 0.0088802297916705294, 0.0088795843406759677, 0.0088789244010410197, 0.0088782514529226787, 0.0088775678907548825, 0.0088768772487539376, 0.0088761845127601855, 0.0088754965576133132, 0.0088748227696525232, 0.0088741759465600922, 0.0088735736200969764, 0.0088730400365528411, 0.0088726091831643726, 0.0088723295203445608, 0.0088722715764902819, 0.0088725405061204285, 0.0088732975839090344, 0.0088747985071433323, 0.0088774649888160011, 0.0088820264803933183, 0.0088898211520445324, 0.0089034940366236257, 0.008928812441241267, 0.0089801762839241787, 0.0091015335670637434, 0.0094802360503246138, 0.011736364506894126, 0.097171260891405264, 0.011799117835834419, 0.0097391000440125129, 0.0093026309529973799, 0.0091377233975003264, 0.0090566398119332776, 0.0090102330760186231, 0.0089809268577885851, 0.0089611141675035796, 0.0089470454101829022, 0.0089366885906135753, 0.0089288599363056848, 0.0089228293150372916, 0.0089181250680997765, 0.0089144305961338325, 0.008911526377943511, 0.0089092558900761721, 0.0089075047553021699, 0.0089061875373590508, 0.0089052391236210098, 0.0089046089519482854, 0.0089042570521509091, 0.0089041512751462815, 0.0089042653174596208, 0.0089045772894194714, 0.0089050686620390559, 0.0089057234821975848, 0.0089065277809207213, 0.0089074691226704861, 0.0089085362590082245, 0.0089097188604997189, 0.0089110073079804852, 0.008912392529373054, 0.0089138658718446607, 0.0089154190016742987, 0.0089170438260704164, 0.0089187324325526052, 0.0089204770425260378, 0.008922269976434874, 0.0089241036284509346, 0.0089259704490848839, 0.0089278629344360788, 0.0089297736210483276, 0.0089316950855318471, 0.0089336199482600801, 0.0089355408805646304, 0.0089374506149386395, 0.0089393419578273643, 0.0089412078046351151, 0.0089430411566171035, 0.0089448351393538808, 0.0089465830225277567, 0.0089482782407363393, 0.0089499144150903785, 0.0089514853753516442, 0.0089529851823728027, 0.0089544081506069701, 0.0089557488704591747, 0.0089570022302567463, 0.0089581634376214459, 0.0089592280400317709, 0.0089601919443724337, 0.0089610514352765989, 0.0089618031920776428, 0.0089624443042001772, 0.0089629722848341177, 0.0089633850827529025, 0.0089636810921542593, 0.0089638591604220275, 0.0089639185937290047, 0.0089638789680650376, 0.008963760204049577, 0.008963562640250269, 0.00896328683974385, 0.0089629335883200639, 0.0089625038919834976, 0.0089619989737690364, 0.0089614202698913674, 0.0089607694252528663, 0.0089600482883379108, 0.0089592589055255568, 0.0089584035148556132, 0.0089574845392859873, 0.0089565045794820636, 0.0089554664061807059, 0.0089543729521740102, 0.0089532273039583856, 0.0089520326930968685, 0.0089507924873422472, 0.0089495101815696785, 0.0089481893885670783, 0.0089468338297314549, 0.0089454473257189193, 0.0089440337870947441, 0.0089425972050292592, 0.0089411416420838025, 0.0089396712231294157, 0.0089381901264393594, 0.0089367025749948724, 0.0089352128280416367, 0.0089337251729326422, 0.0089322439172914263, 0.0089307733815275087, 0.0089293178917346956, 0.0089278817730009449, 0.00892646934315699, 0.008925084906990257, 0.0089237327509489213, 0.0089224171383605853, 0.0089211423051895871, 0.0089199124563564998, 0.0089187317626438656, 0.0089176043582123946, 0.0089165343387528993, 0.0089155257603003996, 0.0089145826387382714, 0.0089137089500224802, 0.0089129086311580813, 0.0089121855819627969, 0.0089115436676555776, 0.0089109867223109464, 0.0089105185532236675, 0.0089101429462313531, 0.0089098636720462924, 0.0089096844936507776, 0.0089096091748133207, 0.0089096414897847417, 0.008909785234234649, 0.0089100442374882953, 0.0089104223761212291, 0.0089109235889644409, 0.0089115518935642436, 0.0089123114041278345, 0.0089132063509675154, 0.0089142411014303969, 0.0089154201822661556, 0.0089167483033397218, 0.0089182303825367966, 0.0089198715716345654, 0.0089216772828144796, 0.0089236532153743765, 0.0089258053820491443, 0.0089281401341666563, 0.0089306641846436247, 0.0089333846275570124, 0.0089363089527038676, 0.0089394450531784103, 0.0089428012235422683, 0.0089463861456342154, 0.0089502088584539809, 0.008954278707855836, 0.0089586052710006105, 0.0089631982496432179, 0.0089680673253877425, 0.008973221969044317, 0.0089786711952061522, 0.0089844232521843429, 0.0089904852365687345, 0.0089968626210320795, 0.0090035586837054985, 0.0090105738277126268, 0.0090179047804986867, 0.0090255436647208309, 0.0090334769360357267, 0.0090416841885342537, 0.0090501368362892968, 0.0090587966899676204, 0.00906761446116508, 0.0090765282444071615, 0.0090854620477933551, 0.0090943244679143852, 0.0091030076323181126, 0.0091113865621711924, 0.0091193191367004277, 0.0091266468662827074, 0.009133196698259587, 0.0091387840830289765, 0.0091432175110252988, 0.0091463046865959286, 0.0091478604255903519, 0.0091477162443916685, 0.0091457314471999236, 0.0091418053190355109, 0.0091358898049900654, 0.0091280018213854321, 0.009118234130679732, 0.009106763556083558, 0.0090938552549483208, 0.0090798618511626593, 0.0090652164748726959, 0.009050419182450949, 0.0090360168133032659, 0.0090225770339621321, 0.0090106580451410883, 0.0090007760836708743, 0.0089933733317071034, 0.0089887890565711025, 0.008987236685321906], [0.0091483415025094411, 0.0091482881786549824, 0.0091481283379509105, 0.0091478623725472774, 0.0091474909346045685, 0.0091470149341707323, 0.0091464355362321469, 0.0091457541569608478, 0.0091449724591868876, 0.0091440923471307386, 0.0091431159604353981, 0.0091420456675439417, 0.0091408840584726245, 0.0091396339370340696, 0.0091382983125691819, 0.0091368803912501625, 0.009135383567020091, 0.0091338114122371892, 0.0091321676680949839, 0.0091304562348911364, 0.009128681162220393, 0.0091268466391681777, 0.009124956984584421, 0.0091230166375177776, 0.0091210301478937168, 0.0091190021675220303, 0.0091169374415225393, 0.0091148408002621369, 0.0091127171519012739, 0.0091105714756547964, 0.0091084088158810556, 0.0091062342771236343, 0.0091040530202450357, 0.0091018702598092936, 0.0090996912628937329, 0.0090975213495387806, 0.0090953658950822212, 0.0090932303346701396, 0.0090911201702957595, 0.009089040980791949, 0.0090869984352969224, 0.0090849983108325944, 0.0090830465147873768, 0.0090811491132901136, 0.0090793123667122499, 0.0090775427738582042, 0.0090758471268228141, 0.0090742325790408203, 0.0090727067297697635, 0.0090712777291937757, 0.0090699544095929688, 0.0090687464497071092, 0.0090676645816941213, 0.0090667208531755306, 0.0090659289611025352, 0.0090653046800530657, 0.0090648664157889428, 0.0090646359265207851, 0.0090646392709357298, 0.0090649080660687442, 0.0090654811733048412, 0.0090664069831088729, 0.009067746547968783, 0.0090695779339517255, 0.0090720023498792324, 0.0090751529130178657, 0.0090792073971270315, 0.0090844071178593326, 0.0090910854898747801, 0.0090997122092527621, 0.0091109633950259925, 0.0091258362444225118, 0.00914584282782222, 0.0091733505756980624, 0.0092122082355521849, 0.0092689603150729778, 0.0093553617429016911, 0.0094940203915080696, 0.0097324146116737897, 0.010182683146720179, 0.011157171453335238, 0.013769301736331258, 0.023857952369846159, 0.073003077889462573, 0.040131951418197365, 0.019538227815682031, 0.01442507287691192, 0.012519787608529287, 0.011620812210892706, 0.01113866801472272, 0.01086486394814485, 0.010711663167798084, 0.010638349661469889, 0.010625889689636247, 0.010667241221587697, 0.010763847865327882, 0.010925393195174202, 0.011172364253425075, 0.011542737132199627, 0.012106994109360046, 0.013003065823585068, 0.014525488266880876, 0.017383128141778451, 0.023552117375697117, 0.039025053892150136, 0.067525484327987634, 0.050593734751544037, 0.026241766928199853, 0.017163409899643704, 0.013532522053388844, 0.011818305484673769, 0.010898819070574023, 0.010357692490383258, 0.010016600927213317, 0.0097900801024580399, 0.0096334204758567396, 0.0095215545329386132, 0.0094396208959724413, 0.0093783976980064652, 0.0093319429615154742, 0.009296307008805401, 0.0092687968569738922, 0.0092475393456308078, 0.0092312130982902165, 0.0092188796613789422, 0.0092098750303798004, 0.0092037392806867662, 0.0092001712139138173, 0.0091990002692630031, 0.0091994338647560098, 0.0092007466369061607, 0.0092029752198800469, 0.0092061829936433866, 0.0092104638088140161, 0.0092159477197401047, 0.0092228093403281339, 0.0092312797743973624, 0.0092416635812519847, 0.0092543630315704839, 0.0092699131850857291, 0.0092890334296825191, 0.0093127047042024999, 0.0093422879058184752, 0.0093797103661357097, 0.0094277687201460292, 0.0094906386573547913, 0.0095747691813198137, 0.0096905297140080747, 0.0098554248017384913, 0.010100822919074095, 0.010487303434413989, 0.011143621578861021, 0.012379984828799999, 0.015077013669797813, 0.022230129011326729, 0.041588210582907473, 0.042031053807363328, 0.0226071645380924, 0.015316268134228124, 0.012548734470883545, 0.011271741922570388, 0.010588994996246487, 0.0101837651850688, 0.0099242033668246188, 0.0097480886844469872, 0.0096231029371203047, 0.009531153548870885, 0.0094614865986747728, 0.0094073899837108753, 0.0093645007763604494, 0.0093298842987574234, 0.0093015080127496902, 0.009277928194915689, 0.0092580965204860227, 0.0092412368776926043, 0.0092267647274134907, 0.0092142330145741965, 0.0092032950934824633, 0.0091936788158839267, 0.0091851680999720121, 0.0091775896101139176, 0.0091708029894684382, 0.0091646936021504526, 0.0091591670740299429, 0.009154145140049608, 0.0091495624524105743, 0.0091453641035628072, 0.0091415036866361269, 0.0091379417639771855, 0.0091346446484586383, 0.0091315834265770484, 0.0091287331699862057, 0.0091260722950070577, 0.0091235820391775656, 0.0091212460310008681, 0.0091190499343811113, 0.009116981153275458, 0.0091150285851725136, 0.0091131824143773875, 0.0091114339379170135, 0.0091097754183083537, 0.0091081999585515289, 0.0091067013955925345, 0.0091052742092004035, 0.0091039134437608422, 0.0091026146409356971, 0.009101373781496825, 0.0091001872349340124, 0.0090990517156727957, 0.009097964244930817, 0.0090969221173991498, 0.0090959228720650688, 0.0090949642665996405, 0.0090940442548227644, 0.0090931609668316662, 0.009092312691440986, 0.0090914978606335926, 0.0090907150357650828, 0.0090899628953013279, 0.0090892402238987105, 0.0090885459026637232, 0.009087878900449849, 0.0090872382660692665, 0.0090866231213125662, 0.0090860326546838115, 0.009085466115769809, 0.0090849228101731079, 0.0090844020949464536, 0.00908390337447465, 0.0090834260967558051, 0.0090829697500401079, 0.0090825338597890267, 0.0090821179859219801, 0.0090817217203219142, 0.0090813446845737847, 0.0090809865279134188, 0.0090806469253665208, 0.0090803255760599413, 0.0090800222016891672, 0.0090797365451280154, 0.0090794683691677227, 0.0090792174553743343, 0.0090789836030543136, 0.00907876662831948, 0.009078566363243298, 0.0090783826551015627, 0.0090782153656910995, 0.0090780643707211155, 0.0090779295592720976, 0.0090778108333182308, 0.0090777081073092711, 0.0090776213078089408, 0.0090775503731868636, 0.0090774952533616993, 0.0090774559095936208, 0.0090774323143244743, 0.0090774244510644694, 0.009077432314324476, 0.0090774559095936243, 0.0090774952533616941, 0.0090775503731868618, 0.0090776213078089477, 0.0090777081073092746, 0.0090778108333182412, 0.0090779295592721011, 0.0090780643707211103, 0.0090782153656911013, 0.0090783826551015627, 0.0090785663632433067, 0.0090787666283194818, 0.0090789836030543154, 0.0090792174553743273, 0.0090794683691677192, 0.0090797365451280206, 0.0090800222016891689, 0.0090803255760599361, 0.009080646925366519, 0.0090809865279134223, 0.0090813446845737916, 0.0090817217203219194, 0.0090821179859219784, 0.0090825338597890232, 0.0090829697500401114, 0.0090834260967557999, 0.0090839033744746448, 0.0090844020949464588, 0.0090849228101730992, 0.009085466115769809, 0.0090860326546838097, 0.0090866231213125679, 0.0090872382660692613, 0.0090878789004498559, 0.0090885459026637267, 0.0090892402238987122, 0.0090899628953013296, 0.0090907150357650846, 0.0090914978606335874, 0.0090923126914409895, 0.0090931609668316715, 0.0090940442548227574, 0.0090949642665996387, 0.0090959228720650775, 0.0090969221173991584, 0.0090979642449308135, 0.0090990517156727974, 0.0091001872349340159, 0.0091013737814968233, 0.0091026146409356936, 0.0091039134437608405, 0.0091052742092004053, 0.0091067013955925379, 0.0091081999585515272, 0.0091097754183083607, 0.0091114339379170066, 0.009113182414377384, 0.0091150285851725205, 0.009116981153275458, 0.0091190499343811165, 0.0091212460310008663, 0.0091235820391775673, 0.0091260722950070525, 0.0091287331699862074, 0.0091315834265770467, 0.0091346446484586365, 0.0091379417639771889, 0.0091415036866361269, 0.0091453641035628055, 0.0091495624524105743, 0.0091541451400496097, 0.0091591670740299447, 0.009164693602150456, 0.009170802989468433, 0.0091775896101139176, 0.0091851680999720034, 0.0091936788158839215, 0.0092032950934824581, 0.0092142330145741896, 0.0092267647274134872, 0.0092412368776925921, 0.0092580965204860123, 0.0092779281949156699, 0.0093015080127496728, 0.0093298842987574303, 0.0093645007763604286, 0.0094073899837108753, 0.0094614865986747572, 0.0095311535488708174, 0.0096231029371202821, 0.0097480886844467842, 0.0099242033668246136, 0.010183765185068123, 0.010588994996245773, 0.011271741922568447, 0.012548734470878236, 0.015316268134226227, 0.022607164538061175, 0.042031053807340304, 0.041588210582930572, 0.022230129011329453, 0.015077013669804525, 0.012379984828799045, 0.011143621578861607, 0.01048730343441415, 0.010100822919073818, 0.0098554248017384879, 0.009690529714007922, 0.0095747691813197477, 0.0094906386573547011, 0.0094277687201460379, 0.0093797103661356993, 0.0093422879058184475, 0.0093127047042025259, 0.0092890334296825087, 0.0092699131850857482, 0.0092543630315704735, 0.009241663581251983, 0.0092312797743973676, 0.0092228093403281357, 0.009215947719740103, 0.0092104638088140196, 0.0092061829936433831, 0.0092029752198800416, 0.009200746636906159, 0.009199433864756008, 0.00919900026926301, 0.0091992168203684672, 0.009199869473384947, 0.0092009673106377959, 0.0092025257506976252, 0.0092045669845159939, 0.0092071206152604911, 0.0092102245336769615, 0.009213926073894289, 0.0092182835112512435, 0.00922336798550763, 0.0092292659618639396, 0.0092360823816402381, 0.0092439447087372603, 0.0092530081537292863, 0.00926346246450949, 0.0092755408258451515, 0.0092895316331777396, 0.0093057942348640284, 0.0093247802298073602, 0.0093470626584311132, 0.0093733765908536673, 0.0094046764628854286, 0.009442218500641161, 0.0094876815343351972, 0.0095433479505816626, 0.009612381355860504, 0.0096992644013597761, 0.009810510783213891, 0.009955864587289507, 0.010150403940893366, 0.010418407748126701, 0.010800862043251548, 0.011370993326310645, 0.012268894806931805, 0.013785452338611658, 0.016582904687666735, 0.022280460952470389, 0.03425887830997347, 0.049318512397500874, 0.041574514113674049, 0.026613884134495433, 0.018777032439786363, 0.015014359138872301, 0.013038474141456348, 0.011897879797473584, 0.011186684010966697, 0.010715488023652324, 0.010387929805281425, 0.010151244313809307, 0.0099747216050616368, 0.0098395581295146403, 0.0097337402280411479, 0.0096493105779555527, 0.0095808333676892649, 0.00952449484482208, 0.00947755626657985, 0.0094380102014323623, 0.0094043583272393171, 0.0093754640883042355, 0.0093504527562408325, 0.0093286422535964111, 0.0093094943860958321, 0.0092925798870744022, 0.0092775529806436736, 0.0092641326140573167, 0.0092520884340514479, 0.0092412301849773733, 0.0092313996069186867, 0.0092224641821243413, 0.009214312263088744, 0.0092068492440702098, 0.0091999945281907008, 0.0091936791065751356, 0.009187843612286431, 0.0091824367454902966, 0.0091774139910253578, 0.0091727365678985571, 0.0091683705639471515, 0.0091642862192554894, 0.0091604573297795616, 0.0091568607486528335, 0.0091534759672895726, 0.0091502847620045791, 0.0091472708946819612, 0.0091444198582370222, 0.0091417186593619019, 0.0091391556324341393, 0.0091367202795756292, 0.0091344031327396501, 0.0091321956344209369, 0.0091300900341654695, 0.0091280792985295369, 0.0091261570325243437, 0.009124317410899559, 0.0091225551178803401, 0.0091208652941884693, 0.0091192434903571706, 0.009117685625498537, 0.0091161879508069674, 0.0091147470171863542, 0.0091133596464766722, 0.009112022905829428, 0.0091107340848441097, 0.0091094906751307304, 0.0091082903520086841, 0.0091071309580906899, 0.0091060104885330416, 0.0091049270777621462, 0.0091038789875109855, 0.0091028645960200827, 0.0091018823882756013, 0.0091009309471726547, 0.0091000089455052433, 0.0090991151386960751, 0.0090982483581895611, 0.0090974075054401134, 0.0090965915464357085, 0.0090957995067033112, 0.0090950304667487148, 0.0090942835578886588, 0.009093557958437427, 0.0090928528902144371, 0.0090921676153426275, 0.0090915014333107936, 0.0090908536782757145, 0.0090902237165822342, 0.009089610944482053, 0.0090890147860334218, 0.0090873206106843948, 0.0090857575154652034, 0.0090843134560065486, 0.0090829776853811779, 0.0090817405201443855, 0.009080593154032434, 0.0090795275091855466, 0.0090785361171315717, 0.0090776120235369507, 0.0090767487120652166, 0.009075940043696178, 0.0090751802086339976, 0.0090744636885303973, 0.0090737852272134226, 0.0090731398084759381, 0.0090725226397654624, 0.0090719291408464936, 0.0090713549366925415, 0.0090707958540191466, 0.0090702479209998146, 0.0090697073698226514, 0.0090691706418532282, 0.009068634395275648, 0.0090680955151969493, 0.0090675511263278059, 0.0090669986085056831, 0.0090664356155192392, 0.0090658600979427514, 0.0090652703310231866, 0.00906466494911661, 0.0090640429887986589, 0.0090634039436540744, 0.0090627478350004537, 0.0090620753045991577, 0.0090613877380247721, 0.0090606874312308648, 0.0090599778186402028, 0.0090592637898953519, 0.00905855213602807, 0.0090578521872615864, 0.0090571767391323631, 0.0090565434202269802, 0.009055976750064372, 0.0090555113002242504, 0.0090551966648703009, 0.0090551054865606034, 0.0090553468161712215, 0.0090560891511415557, 0.0090576018409377484, 0.0090603332474970162, 0.0090650672847404218, 0.009073260605077212, 0.0090878387046092208, 0.0091153144119792886, 0.0091724261014705568, 0.0093125682824399796, 0.0097822332610176723, 0.013209690848713204, 0.047646840640744433, 0.011286165563714068, 0.0098091045691852188, 0.0094487751424064768, 0.0093045977439936839, 0.0092314216690311517, 0.0091886813022554331, 0.009161305836657585, 0.0091426051120181671, 0.0091292206880816927, 0.0091193071677388039, 0.0091117776975208446, 0.0091059559738363004, 0.0091014018980463251, 0.0090978182196679719, 0.0090949977320579911, 0.0090927920019586335, 0.0090910921134005444, 0.009089816403973586, 0.0090889024220903916, 0.0090883015149657385, 0.0090879751030277876, 0.0090878920628591712, 0.0090880268553502029, 0.0090883581650800949, 0.0090888678969259801, 0.0090895404265267776, 0.0090903620339579452, 0.0090913204715423711, 0.0090924046311894064, 0.0090936042865165552, 0.0090949098918317785, 0.009096312424841867, 0.0090978032633540953, 0.0090993740886839616, 0.0091010168102602321, 0.009102723507223796, 0.0091044863837847906, 0.0091062977358256133, 0.0091081499267823343, 0.0091100353712497573, 0.0091119465250705158, 0.0091138758809094708, 0.0091158159685000469, 0.0091177593588915983, 0.0091196986721369822, 0.0091216265879431203, 0.0091235358588729488, 0.0091254193257354621, 0.0091272699348381968, 0.0091290807568041848, 0.0091308450066761131, 0.0091325560650450492, 0.0091342074999526124, 0.0091357930893231493, 0.0091373068436882889, 0.009138743028971618, 0.009140096189105126, 0.0091413611682539132, 0.0091425331324309807, 0.0091436075902893519, 0.0091445804128874805, 0.0091454478522320238, 0.0091462065584136006, 0.0091468535951637706, 0.0091473864536759444, 0.0091478030645499898, 0.0091481018077379482, 0.009148281520388513, 0.0091483415025094411, 0.0091483015109402824, 0.0091481816502318371, 0.0091479822620163277, 0.0091477039144675261, 0.0091473474004888228, 0.0091469137351930865, 0.009146404152690045, 0.009145820102201923, 0.0091451632435318054, 0.009144435441913016, 0.0091436387622718749, 0.0091427754629389204, 0.00914184798884707, 0.00914085896425758, 0.0091398111850569848, 0.009138707610670262, 0.0091375513556363475, 0.0091363456808941246, 0.0091350939848269183, 0.0091337997941143469, 0.0091324667544402695, 0.0091310986211051159, 0.0091296992495906223, 0.0091282725861235869, 0.0091268226582843261, 0.0091253535657044513, 0.0091238694708963581, 0.0091223745902555761, 0.009120873185275203, 0.0091193695540096389, 0.0091178680228229583, 0.0091163729384554221, 0.0091148886604392899, 0.0091134195538940428, 0.0091119699827285367, 0.0091105443032764959, 0.0091091468583903868, 0.009107781972017134, 0.0091064539442783903, 0.0091051670470773376, 0.0091039255202532317, 0.0091027335683049743, 0.0091015953577049096, 0.0091005150148243657, 0.0090994966244933393, 0.0090985442292173275, 0.0090976618290758825, 0.0090968533823287089, 0.009096122806756821, 0.0090954739817683209, 0.0090949107512998777, 0.0090944369275473402, 0.0090940562955603103, 0.0090937726187372506, 0.0090935896452583338, 0.0090935111154939758, 0.0090935407704255122, 0.0090936823611126941, 0.0090939396592382166, 0.0090943164687526806, 0.009094816638633452, 0.0090954440767569266, 0.0090962027648640101, 0.0090970967745734235, 0.009098130284363435, 0.0090993075973996845, 0.0091006331600313479, 0.0091021115807089353, 0.0091037476489906014, 0.0091055463541973754, 0.0091075129031472166, 0.0091096527362396207, 0.0091119715409715019, 0.0091144752617372139, 0.0091171701044953386, 0.009120062534567392, 0.0091231592654644859, 0.009126467236213142, 0.0091299935741682107, 0.0091337455397595378, 0.0091377304490222033, 0.009141955569116407, 0.0091464279813665908, 0.0091511544056645591, 0.009156140979423303, 0.0091613929836881873, 0.0091669145085791388, 0.0091727080500446107, 0.0091787740300740533, 0.0091851102331905066, 0.0091917111534105655, 0.0091985672481331212, 0.0092056640988432675, 0.0092129814833661668, 0.0092204923709457397, 0.0092281618599142062, 0.0092359460883522804, 0.0092437911610087561, 0.0092516321507539519, 0.0092593922496341102, 0.0092669821624603403, 0.009274299853629854, 0.0092812307738289797, 0.0092876487050761684, 0.0092934173673069262, 0.0092983929239504725, 0.0093024275039908198, 0.0093053738202560719, 0.0093070909052362684, 0.0093074509051271764, 0.0093063467708438471, 0.0093037005653963667, 0.0092994719780154778, 0.0092936665086323263, 0.0092863426773769318, 0.0092776175409369707, 0.0092676697798153729, 0.0092567396743677335, 0.0092451254240995522, 0.0092331754862635465, 0.0092212769070968391, 0.0092098399702673188, 0.0091992798587694699, 0.0091899963766138605, 0.0091823530599134499, 0.0091766571814403571, 0.0091731421867260188, 0.0091719539777687601], [0.0093678824367529091, 0.0093678284649690823, 0.0093676666819100946, 0.0093673974840201776, 0.0093670215305990505, 0.0093665397416524774, 0.0093659532949065399, 0.0093652636220082543, 0.009364472403941889, 0.0093635815656963241, 0.0093625932702237607, 0.0093615099117361541, 0.0093603341083902426, 0.0093590686944164548, 0.0093577167117511514, 0.0093562814012354712, 0.009354766193447132, 0.0093531746992341729, 0.0093515107000228369, 0.0093497781379731793, 0.0093479811060587798, 0.0093461238381480193, 0.0093442106991671395, 0.0093422461754262068, 0.0093402348651919903, 0.009338181469593974, 0.0093360907839527239, 0.0093339676896241168, 0.0093318171464576681, 0.0093296441859738229, 0.0093274539053738639, 0.0093252514625060661, 0.0093230420719264216, 0.0093208310022093229, 0.0093186235746860226, 0.0093164251638168036, 0.0093142411994387286, 0.0093120771711755826, 0.0093099386353533101, 0.0093078312248364107, 0.0093057606622909839, 0.0093037327774954069, 0.0093017535294659167, 0.0092998290343507626, 0.0092979656002859772, 0.009296169770713035, 0.0092944483780568743, 0.0092928086101795974, 0.0092912580927016312, 0.0092898049911719141, 0.0092884581382472846, 0.0092872271926132174, 0.0092861228384905382, 0.0092851570374340945, 0.0092843433480369261, 0.009283697334538871, 0.0092832370928294539, 0.0092829839328604242, 0.0092829632714320921, 0.0092832058107918131, 0.0092837491097111959, 0.009284639699721698, 0.0092859359679514468, 0.0092877121323482296, 0.009290063796045047, 0.0092931158204675283, 0.0092970336618074627, 0.0093020399784163703, 0.009308439427786603, 0.0093166564836869581, 0.0093272944916027983, 0.009341230383290244, 0.0093597712576250144, 0.0093849223985917607, 0.0094198649219045614, 0.0094698483119188097, 0.0095439551550868511, 0.0096588380207255908, 0.0098473348288154582, 0.010180604925151089, 0.010833737950570261, 0.012322400526100117, 0.016633160572548492, 0.03486929796998902, 0.07981322300117015, 0.034211442958325379, 0.019447552015532433, 0.01505372847815652, 0.013250001259757244, 0.012360378974605117, 0.011880741169218117, 0.011620929389424091, 0.011499234888674537, 0.011479793185686378, 0.0115507413190901, 0.011717141591060801, 0.012001551342362785, 0.01245192207004446, 0.013162168236625166, 0.014322488718340895, 0.016352231565139687, 0.020295508170119585, 0.029129748202642611, 0.050820263788098119, 0.072895506021501646, 0.043590189182851818, 0.023954446469387231, 0.016608595800400687, 0.01348721857795108, 0.011944663227122404, 0.011090410206475533, 0.010576037968266028, 0.010246239555440436, 0.010024310849342631, 0.0098691879089057456, 0.0097574251631574235, 0.0096749177137763712, 0.0096128063311254289, 0.0095653232117401347, 0.0095285987582392189, 0.0094999711612638697, 0.0094775717574251978, 0.009460067984039219, 0.0094464997319288237, 0.0094361729141562226, 0.0094285892099977547, 0.0094233994353526557, 0.0094203729272457227, 0.0094193783129217275, 0.0094197495794465791, 0.0094208727220106859, 0.0094227762519805188, 0.0094255093392568226, 0.0094291444449829311, 0.0094337813422826836, 0.0094395529168156706, 0.0094466333451217084, 0.0094552495523894664, 0.0094656973133785023, 0.0094783640828500128, 0.0094937618010600758, 0.009512574827966757, 0.0095357313878795241, 0.0095645125333916666, 0.0096007227780404748, 0.0096469655168363415, 0.0097071033756883293, 0.009787059477500068, 0.0098962799800500698, 0.0100505586600146, 0.010277876212724864, 0.01063152304558385, 0.011222834934870633, 0.01231444145666446, 0.014634440235593391, 0.020644033619934513, 0.03849964581349858, 0.048123309404037612, 0.025344923945773132, 0.016279520468583861, 0.01303573991430286, 0.011601888336085844, 0.010857062777563063, 0.010423904038563777, 0.010150637112412412, 0.0099674071277512984, 0.0098386103236170041, 0.0097446077716842674, 0.0096738650152329454, 0.0096192534877036634, 0.009576177969936461, 0.009541569534610583, 0.0095133158413405541, 0.0094899246886772509, 0.009470317835845116, 0.0094537005294453563, 0.0094394765779575694, 0.0094271916790184505, 0.0094164947520880629, 0.0094071110263272261, 0.0093988229713805448, 0.0093914565643286804, 0.0093848712523887795, 0.0093789525170550891, 0.0093736062967670532, 0.0093687547555787402, 0.009364333038975858, 0.009360286762128741, 0.0093565700474880584, 0.0093531439785562893, 0.0093499753719151982, 0.0093470357947682773, 0.0093443007734426518, 0.0093417491515659784, 0.0093393625664124451, 0.0093371250191827126, 0.0093350225204363018, 0.0093330427960174947, 0.0093311750419572265, 0.0093294097192438818, 0.0093277383812186785, 0.0093261535277999602, 0.009324648481874245, 0.0093232172840847956, 0.0093218546029544096, 0.0093205556578420615, 0.0093193161526824476, 0.0093181322188194381, 0.0093170003655363882, 0.0093159174371234884, 0.0093148805755152025, 0.0093138871876891991, 0.0093129349171476392, 0.0093120216189091724, 0.0093111453375282014, 0.0093103042877319478, 0.0093094968373268593, 0.0093087214920774576, 0.0093079768823037864, 0.0093072617509795137, 0.0093065749431437226, 0.0093059153964650115, 0.0093052821328185997, 0.0093046742507558317, 0.0093040909187613752, 0.0093035313692070055, 0.0093029948929228348, 0.0093024808343164043, 0.0093019885869793546, 0.0093015175897282459, 0.0093010673230330791, 0.0093006373057924804, 0.0093002270924191707, 0.0092998362702041981, 0.0092994644569314514, 0.0092991112987176865, 0.0092987764680559481, 0.0092984596620428392, 0.0092981606007722234, 0.0092978790258800223, 0.0092976146992262941, 0.0092973674017024794, 0.0092971369321530103, 0.0092969231064015667, 0.0092967257563735042, 0.0092965447293068409, 0.0092963798870450282, 0.009296231105405714, 0.0092960982736200442, 0.0092959812938381223, 0.0092958800806963969, 0.0092957945609436991, 0.009295724673122889, 0.0092956703673054905, 0.0092956316048773864, 0.0092956083583738535, 0.0092956006113625866, 0.009295608358373857, 0.0092956316048773899, 0.0092956703673054853, 0.009295724673122889, 0.0092957945609437077, 0.0092958800806963986, 0.0092959812938381327, 0.0092960982736200459, 0.0092962311054057088, 0.0092963798870450299, 0.0092965447293068409, 0.0092967257563735129, 0.0092969231064015719, 0.0092971369321530103, 0.0092973674017024742, 0.0092976146992262924, 0.0092978790258800275, 0.0092981606007722269, 0.009298459662042834, 0.0092987764680559463, 0.0092991112987176917, 0.0092994644569314583, 0.0092998362702041999, 0.0093002270924191673, 0.0093006373057924804, 0.0093010673230330843, 0.0093015175897282424, 0.0093019885869793512, 0.0093024808343164095, 0.0093029948929228279, 0.009303531369207009, 0.0093040909187613735, 0.0093046742507558317, 0.0093052821328185927, 0.0093059153964650167, 0.0093065749431437278, 0.0093072617509795119, 0.0093079768823037933, 0.0093087214920774541, 0.0093094968373268559, 0.0093103042877319461, 0.0093111453375282066, 0.0093120216189091654, 0.0093129349171476392, 0.0093138871876892043, 0.0093148805755152043, 0.0093159174371234849, 0.0093170003655363882, 0.0093181322188194398, 0.0093193161526824442, 0.0093205556578420598, 0.0093218546029544113, 0.0093232172840847973, 0.0093246484818742467, 0.0093261535277999602, 0.0093277383812186872, 0.0093294097192438783, 0.0093311750419572247, 0.0093330427960175034, 0.009335022520436307, 0.0093371250191827144, 0.0093393625664124468, 0.0093417491515659784, 0.0093443007734426466, 0.0093470357947682773, 0.0093499753719151982, 0.0093531439785562876, 0.0093565700474880602, 0.009360286762128741, 0.0093643330389758511, 0.0093687547555787402, 0.0093736062967670567, 0.0093789525170550891, 0.0093848712523887795, 0.0093914565643286717, 0.0093988229713805431, 0.0094071110263272226, 0.009416494752088056, 0.0094271916790184471, 0.009439476577957559, 0.0094537005294453545, 0.0094703178358451056, 0.0094899246886772388, 0.0095133158413405298, 0.0095415695346105639, 0.0095761779699364731, 0.0096192534877036374, 0.0096738650152329454, 0.009744607771684238, 0.0098386103236169139, 0.0099674071277512759, 0.010150637112412136, 0.010423904038563756, 0.010857062777561936, 0.011601888336084536, 0.013035739914298464, 0.01627952046856903, 0.025344923945766103, 0.048123309403981317, 0.038499645813518751, 0.020644033619943977, 0.014634440235594508, 0.012314441456666837, 0.011222834934870181, 0.010631523045584167, 0.01027787621272493, 0.010050558660014461, 0.0098962799800500663, 0.0097870594774999726, 0.0097071033756882877, 0.0096469655168362773, 0.0096007227780404748, 0.0095645125333916683, 0.0095357313878794998, 0.0095125748279667778, 0.0094937618010600688, 0.0094783640828500285, 0.0094656973133784902, 0.0094552495523894664, 0.0094466333451217136, 0.0094395529168156724, 0.0094337813422826853, 0.0094291444449829346, 0.0094255093392568174, 0.0094227762519805153, 0.0094208727220106859, 0.0094197495794465774, 0.0094193783129217345, 0.0094195637539720382, 0.0094201224182176736, 0.0094210613882698604, 0.0094223926688129685, 0.0094241334962883831, 0.0094263067914546611, 0.0094289417753632525, 0.0094320747775175767, 0.009435750275297132, 0.0094400222169886867, 0.0094449556981604076, 0.009450629084300612, 0.0094571367039839038, 0.0094645922797326407, 0.0094731333232032401, 0.0094829268047453962, 0.009494176525895473, 0.0095071327939703597, 0.0095221052469816412, 0.0095394800461494587, 0.009559743209061446, 0.0095835127081735638, 0.0096115832893645531, 0.0096449900857201593, 0.0096851005598940099, 0.0097337500905979885, 0.0097934464573043705, 0.0098676860915325529, 0.0099614572692784953, 0.010082066996544976, 0.010240550926915597, 0.010454182055626642, 0.010751161352109177, 0.011179912782888707, 0.011828806457909973, 0.012871497727652934, 0.014680978656944475, 0.018141547247544802, 0.025483315476188761, 0.040730774825356864, 0.052796788191490231, 0.03782945448734127, 0.024077841315564938, 0.017601833272089782, 0.014481915392159513, 0.012811566735522526, 0.011829418116685754, 0.011207678076210918, 0.010790734428101335, 0.010498069544116891, 0.010284937315790691, 0.010124964055395572, 0.010001827236935955, 0.0099050027107296067, 0.0098274650502546551, 0.0097643826181057162, 0.0097123457019659791, 0.0096688932110857214, 0.0096322131544942739, 0.009600947753438737, 0.0095740634694419444, 0.009550762394836057, 0.0095304206355177491, 0.0095125446912966288, 0.0094967400724613182, 0.0094826883841177771, 0.0094701303659382782, 0.009458853182887101, 0.0094486807919338216, 0.0094394665627055077, 0.0094310875690592037, 0.0094234401328218073, 0.0094164363153745132, 0.0094100011334854773, 0.0094040703334183143, 0.0093985885989331195, 0.009393508099123633, 0.0093887873043645154, 0.0093843900152347434, 0.0093802845617187783, 0.0093764431393823042, 0.0093728412563731361, 0.0093694572705839002, 0.0093662720005493628, 0.0093632683969445425, 0.0093604312641245874, 0.0093577470231743648, 0.0093552035095380397, 0.0093527897995750158, 0.0093504960614076253, 0.0093483134262457839, 0.009346233877034921, 0.0093442501518100959, 0.0093423556595760293, 0.0093405444068899984, 0.0093388109336181267, 0.0093371502565770866, 0.0093355578199736389, 0.0093340294517203232, 0.0093325613248440228, 0.0093311499233197492, 0.0093297920117591335, 0.0093284846084644001, 0.0093272249614276583, 0.0093260105269133715, 0.0093248389503114409, 0.0093237080489899666, 0.009322615796913165, 0.0093215603108199162, 0.0093205398377850853, 0.0093195527440080896, 0.0093185975046928479, 0.0093176726948995953, 0.0093167769812639925, 0.0093159091144911828, 0.0093150679225435361, 0.0093142523044501928, 0.0093134612246749422, 0.0093126937079859931, 0.0093119488347777127, 0.0093112257367998705, 0.0093105235932547208, 0.0093098416272267195, 0.0093091791024131985, 0.0093085353201280349, 0.0093079096165526523, 0.0093073013602121349, 0.0093067099496558035, 0.0093050311849262636, 0.0093034848459851438, 0.0093020584598378, 0.0093007409383356263, 0.0092995223237802276, 0.0092983935871468488, 0.0092973464675202046, 0.0092963733440511055, 0.0092954671337592346, 0.0092946212100181863, 0.0092938293376998958, 0.0092930856218246972, 0.009292384467229714, 0.0092917205472837217, 0.0092910887800781335, 0.0092904843108394843, 0.0092899024995595544, 0.0092893389130413537, 0.0092887893207251118, 0.0092882496937983089, 0.009287716207216145, 0.0092871852443719132, 0.0092866534042669469, 0.0092861175111458114, 0.0092855746266927285, 0.0092850220650405567, 0.009284457411038366, 0.0092838785424768505, 0.0092832836573087663, 0.009282671307362652, 0.0092820404406871483, 0.0092813904555617815, 0.0092807212704898029, 0.0092800334163353464, 0.0092793281594655275, 0.0092786076687565687, 0.0092778752453332655, 0.0092771356430877659, 0.0092763955222741144, 0.0092756641010142225, 0.0092749541059283826, 0.0092742831831279376, 0.0092736760323150081, 0.0092731677031355781, 0.0092728088089966323, 0.0092726739996907732, 0.0092728761644945857, 0.0092735911171562928, 0.0092751023575826375, 0.009277886442630584, 0.0092827860632268017, 0.0092913884149405934, 0.0093069353064499268, 0.0093368047739666865, 0.0094005555424098546, 0.0095636623455989146, 0.010156927436416097, 0.015783941270387992, 0.026561096659832278, 0.011035113369881272, 0.0099367493855177097, 0.0096353796462168278, 0.009508424497571985, 0.0094420665580209912, 0.0094025581360775035, 0.0093769083915187859, 0.009359210318232775, 0.009346446337730456, 0.0093369360504451538, 0.0093296792489687801, 0.00932404815877662, 0.0093196313189434412, 0.0093161491237906922, 0.0093134056389949215, 0.0093112598570637591, 0.0093096078838994217, 0.0093083715306359026, 0.0093074907951740306, 0.0093069187807834804, 0.009306618184382361, 0.0093065588209928097, 0.0093067158474570179, 0.0093070684675479153, 0.0093075989745500555, 0.009308292034372884, 0.0093091341427429825, 0.0093101132101786818, 0.0093112182420110445, 0.0093124390899861353, 0.0093137662584147768, 0.0093151907523591326, 0.0093167039585670651, 0.0093182975521861108, 0.0093199634239800339, 0.0093216936240146462, 0.0093234803187031926, 0.0093253157587931089, 0.0093271922563974586, 0.0093291021695700218, 0.0093310378932255043, 0.0093329918554376484, 0.0093349565183261582, 0.0093369243828804478, 0.0093388879971739343, 0.0093408399675030465, 0.0093427729720479899, 0.0093446797766987347, 0.0093465532527255927, 0.0093483863960000246, 0.0093501723474911404, 0.0093519044147767696, 0.0093535760943190792, 0.0093551810942613979, 0.0093567133575085601, 0.0093581670848576857, 0.0093595367579500845, 0.0093608171618193743, 0.0093620034068161162, 0.0093630909496944387, 0.0093640756136547567, 0.0093649536071448141, 0.0093657215412327015, 0.0093663764453782751, 0.0093669157814438905, 0.0093673374558026577, 0.009367639829420113, 0.0093678217258058097, 0.0093678824367529091, 0.0093678419592602927, 0.0093677206421391296, 0.0093675188310903042, 0.009367237101054398, 0.0093668762543784728, 0.0093664373182662207, 0.0093659215415276206, 0.0093653303906488759, 0.0093646655452075522, 0.00936392889266148, 0.0093631225225441501, 0.009362248720102195, 0.0093613099594137463, 0.0093603088960291479, 0.0093592483591775529, 0.0093581313435852215, 0.009356961000952178, 0.0093557406311357318, 0.0093544736730894959, 0.0093531636956071321, 0.0093518143879200676, 0.0093504295501978061, 0.0093490130839993038, 0.0093475689827221941, 0.0093461013220959878, 0.009344614250763883, 0.0093431119809957788, 0.0093415987795736673, 0.0093400789588885431, 0.0093385568682858855, 0.0093370368856948056, 0.0093355234095739374, 0.0093340208512047145, 0.009332533627361415, 0.0093310661533848073, 0.0093296228366844935, 0.0093282080706940662, 0.0093268262293008906, 0.0093254816617715734, 0.0093241786881930709, 0.0093229215954483968, 0.0093217146337454954, 0.0093205620137173772, 0.0093194679041115527, 0.0093184364300870227, 0.0093174716721372078, 0.0093165776656580039, 0.0093157584011806533, 0.0093150178252899268, 0.0093143598422490322, 0.0093137883163532404, 0.0093133070750348913, 0.0093129199127426621, 0.0093126305956176721, 0.0093124428669878346, 0.0093123604537001126, 0.0093123870733065727, 0.0093125264421149954, 0.0093127822841073578, 0.009313158340718778, 0.009313658381455427, 0.0093142862153112009, 0.0093150457029183426, 0.0093159407693360462, 0.0093169754173411945, 0.0093181537410358291, 0.0093194799395239034, 0.0093209583303337663, 0.0093225933621699161, 0.0093243896264647887, 0.0093263518670657526, 0.0093284849872310484, 0.0093307940529170907, 0.0093332842911153513, 0.0093359610817367877, 0.0093388299412421188, 0.0093418964958763839, 0.009345166441985157, 0.0093486454904695114, 0.0093523392919830622, 0.0093562533389960865, 0.0093603928403647608, 0.0093647625635706645, 0.0093693666393703471, 0.0093742083232613085, 0.0093792897079892322, 0.0093846113813680857, 0.0093901720240557353, 0.0093959679427398461, 0.0094019925355793253, 0.0094082356888715735, 0.0094146831069479072, 0.0094213155814101106, 0.0094281082111801282, 0.0094350295915692235, 0.0094420409987574592, 0.0094490956056716181, 0.0094561377760832496, 0.0094631024954270147, 0.00946991500872282, 0.0094764907471176739, 0.0094827356336433678, 0.0094885468641757106, 0.0094938142593286104, 0.0094984222749904257, 0.0095022527412786714, 0.0095051883700061901, 0.0095071170281256102, 0.0095079367189310655, 0.0095075611454439029, 0.0095059256546623418, 0.0095029932825835568, 0.0094987605455026259, 0.0094932625621152664, 0.0094865770532884183, 0.0094788267616000028, 0.0094701798687407152, 0.0094608480701660544, 0.0094510820929632131, 0.0094411646091931978, 0.0094314006917352675, 0.0094221061665832849, 0.0094135944147626435, 0.0094061623473395053, 0.0094000763984394015, 0.0093955594377220144, 0.0093927794854701298, 0.0093918410180981269], [0.0095680752320467764, 0.0095680207271030496, 0.0095678573457274388, 0.009567585487849117, 0.0095672058185613529, 0.0095667192659503308, 0.0095661270180791794, 0.0095654305191502469, 0.0095646314648752794, 0.0095637317970893362, 0.0095627336976492096, 0.0095616395816633167, 0.0095604520901045424, 0.0095591740818619739, 0.0095578086252916996, 0.0095563589893306791, 0.0095548286342407654, 0.0095532212020526339, 0.0095515405067826444, 0.0095497905244968529, 0.0095479753832994532, 0.0095460993533236713, 0.0095441668368060773, 0.0095421823583260613, 0.009540150555294934, 0.0095380761687814657, 0.0095359640347632401, 0.0095338190758977124, 0.0095316462939111259, 0.0095294507627100549, 0.0095272376223286947, 0.0095250120738349237, 0.0095227793753321164, 0.009520544839210528, 0.0095183138308236881, 0.0095160917687924125, 0.0095138841271740875, 0.0095116964397778756, 0.0095095343069615638, 0.009507403405315102, 0.0095053095007229943, 0.0095032584654084172, 0.0095012562997023355, 0.0094993091594591742, 0.0094974233902693061, 0.0094956055699110462, 0.0094938625608630388, 0.0094922015751872594, 0.0094906302547312516, 0.0094891567704350928, 0.0094877899456330805, 0.0094865394097075808, 0.0094854157904161931, 0.009484430955861543, 0.0094835983206720854, 0.00948293323589703, 0.009482453488944817, 0.0094821799494287113, 0.0094821374102367732, 0.0094823556923341549, 0.0094828711095008358, 0.0094837284296759063, 0.0094849835295061826, 0.0094867070287236958, 0.00948898932833875, 0.0094919476897787503, 0.0094957363289456618, 0.0095005610422498384, 0.0095067007767036266, 0.0095145400673074948, 0.0095246188856861549, 0.0095377111268439528, 0.0095549516141859425, 0.0095780481111143855, 0.0096096481129716027, 0.009654000311239367, 0.0097182071586101038, 0.00981473921150482, 0.0099668532992124425, 0.010221344088126682, 0.01068212763044445, 0.011612817740619227, 0.013820153658459754, 0.02054103524688846, 0.048508550640994769, 0.074381512830467983, 0.033453678069687791, 0.020694478890164569, 0.016367010261767366, 0.01447926521082623, 0.013535198291635835, 0.013046962577488858, 0.012825193370422131, 0.012793046064804083, 0.012928385532809117, 0.0132474708961649, 0.013809682217673027, 0.014745456638931115, 0.016332584694189443, 0.019206131328034053, 0.024993465350511838, 0.038245343947699253, 0.066276234268898448, 0.06891697129010417, 0.037109738773978336, 0.02207376144381069, 0.016145183983190391, 0.013456442801092696, 0.012064675677763353, 0.011268704432337101, 0.010778245952962647, 0.010458351581414494, 0.010240235187184721, 0.010086169413995712, 0.0099742004877058296, 0.009890918020424834, 0.0098277928904847069, 0.0097792133218509384, 0.0097413795972445972, 0.0097116558558737777, 0.0096881762577677062, 0.0096695982901410602, 0.00965494415663125, 0.0096434965508151119, 0.0096347289879992314, 0.0096282587243834879, 0.0096238148865369303, 0.0096212172087485962, 0.0096203625132388702, 0.0096206843300207286, 0.0096216572042766395, 0.0096233037602373138, 0.0096256629088905029, 0.0096287917588322725, 0.0096327685152073992, 0.009637696625424727, 0.0096437105615230657, 0.0096509838181713502, 0.0096597399866733061, 0.0096702681950757031, 0.0096829448765409498, 0.0096982649043131919, 0.0097168868980218159, 0.0097397004839407109, 0.0097679284617466482, 0.0098032861044811195, 0.0098482370786487569, 0.0099064189640091487, 0.009983379525891567, 0.010087911548570075, 0.010234610623260552, 0.010449114393155221, 0.010779748778537435, 0.011326204021868871, 0.012319986202356007, 0.014391360013079259, 0.01964841987571345, 0.035894504551038514, 0.052909783957217328, 0.027973671564189732, 0.017135856051887974, 0.013452363770981796, 0.011883647444961887, 0.011088460559760021, 0.010633837226207898, 0.010350630937330471, 0.010162594043355781, 0.010031464453961414, 0.0099363908230590912, 0.0098652451030644042, 0.0098105917339937933, 0.0097676698852315717, 0.0097333184164946664, 0.0097053724937479057, 0.0096823096516718016, 0.0096630341670566246, 0.0096467413085950041, 0.0096328293805846097, 0.0096208412682731274, 0.0096104247024910647, 0.0096013046974762102, 0.009593264081420385, 0.0095861295151422297, 0.0095797613003146577, 0.0095740458477426016, 0.0095688900411308002, 0.009564216970313389, 0.0095599626665699017, 0.0095560735798833497, 0.0095525046115572318, 0.0095492175667692691, 0.0095461799276798966, 0.0095433638734061833, 0.0095407454916921468, 0.0095383041405974062, 0.0095360219284482996, 0.0095338832876626298, 0.0095318746235742227, 0.0095299840235478599, 0.0095282010148426289, 0.009526516362109546, 0.0095249218972825195, 0.0095234103760765635, 0.0095219753564449623, 0.0095206110952406817, 0.0095193124600350051, 0.0095180748536080016, 0.0095168941490750992, 0.0095157666339744842, 0.0095146889619313509, 0.0095136581107508767, 0.009512671345983971, 0.0095117261891666752, 0.0095108203900632765, 0.009509951902349021, 0.0095091188622565062, 0.0095083195697822868, 0.0095075524721112345, 0.0095068161489669269, 0.0095061092996383857, 0.0095054307314699545, 0.0095047793496304597, 0.0095041541480039779, 0.0095035542010656528, 0.0095029786566247013, 0.0095024267293321689, 0.009501897694864779, 0.0095013908847071393, 0.0095009056814650827, 0.0095004415146508689, 0.0094999978568885944, 0.0094995742204946193, 0.0094991701543926839, 0.0094987852413292197, 0.0094984190953574296, 0.0094980713595630446, 0.0094977417040076305, 0.0094974298238680362, 0.0094971354377530876, 0.0094968582861808086, 0.0094965981302012059, 0.0094963547501515262, 0.0094961279445322493, 0.0094959175289933816, 0.0094957233354219239, 0.0094955452111222562, 0.0094953830180822298, 0.0094952366323187379, 0.0094951059432968922, 0.0094949908534181435, 0.0094948912775728138, 0.0094948071427535564, 0.0094947383877264438, 0.0094946849627569503, 0.009494646829388791, 0.0094946239602736356, 0.0094946163390504899, 0.0094946239602736373, 0.0094946468293887944, 0.0094946849627569486, 0.0094947383877264438, 0.0094948071427535651, 0.0094948912775728207, 0.0094949908534181521, 0.0094951059432968922, 0.0094952366323187327, 0.0094953830180822315, 0.0094955452111222527, 0.0094957233354219343, 0.0094959175289933834, 0.0094961279445322424, 0.0094963547501515193, 0.0094965981302012059, 0.0094968582861808138, 0.0094971354377530945, 0.0094974298238680293, 0.0094977417040076253, 0.0094980713595630515, 0.0094984190953574365, 0.0094987852413292214, 0.0094991701543926787, 0.0094995742204946141, 0.0094999978568886013, 0.009500441514650862, 0.0095009056814650793, 0.0095013908847071428, 0.0095018976948647704, 0.0095024267293321741, 0.0095029786566246995, 0.0095035542010656511, 0.0095041541480039727, 0.0095047793496304666, 0.0095054307314699615, 0.0095061092996383875, 0.0095068161489669286, 0.0095075524721112345, 0.0095083195697822816, 0.0095091188622565045, 0.0095099519023490245, 0.0095108203900632713, 0.0095117261891666752, 0.0095126713459839762, 0.0095136581107508819, 0.0095146889619313491, 0.0095157666339744859, 0.0095168941490751027, 0.0095180748536079947, 0.0095193124600349999, 0.0095206110952406851, 0.0095219753564449623, 0.0095234103760765687, 0.0095249218972825213, 0.0095265163621095546, 0.0095282010148426237, 0.0095299840235478581, 0.0095318746235742279, 0.009533883287662635, 0.009536021928448303, 0.0095383041405974079, 0.0095407454916921451, 0.0095433638734061747, 0.0095461799276799, 0.0095492175667692674, 0.0095525046115572318, 0.0095560735798833531, 0.0095599626665699017, 0.0095642169703133856, 0.0095688900411307967, 0.0095740458477426033, 0.0095797613003146577, 0.009586129515142228, 0.0095932640814203746, 0.009601304697476205, 0.0096104247024910595, 0.0096208412682731188, 0.0096328293805846045, 0.0096467413085949884, 0.0096630341670566246, 0.0096823096516717912, 0.0097053724937478953, 0.0097333184164946369, 0.0097676698852315492, 0.0098105917339938072, 0.0098652451030643712, 0.009936390823059086, 0.010031464453961376, 0.010162594043355672, 0.010350630937330409, 0.010633837226207447, 0.011088460559759962, 0.011883647444959686, 0.013452363770979019, 0.017135856051875425, 0.027973671564134658, 0.052909783957208759, 0.035894504551098244, 0.019648419875719858, 0.014391360013081767, 0.012319986202356402, 0.011326204021869997, 0.010779748778537204, 0.010449114393155386, 0.010234610623260584, 0.010087911548569972, 0.009983379525891567, 0.0099064189640090811, 0.0098482370786487257, 0.0098032861044810796, 0.0097679284617466534, 0.0097397004839407057, 0.0097168868980217968, 0.0096982649043132162, 0.0096829448765409411, 0.0096702681950757135, 0.0096597399866733026, 0.0096509838181713502, 0.0096437105615230709, 0.0096376966254247323, 0.0096327685152073975, 0.0096287917588322742, 0.0096256629088905012, 0.0096233037602373069, 0.0096216572042766412, 0.0096206843300207252, 0.0096203625132388806, 0.0096205232689590449, 0.0096210073985753229, 0.0096218205328290722, 0.0096229722026043418, 0.009624476064579857, 0.009626350229892295, 0.0096286177095112509, 0.0096313069953914143, 0.0096344528030996683, 0.0096380970100176343, 0.0096422898340775814, 0.0096470913122394791, 0.0096525731568724432, 0.0096588210937240439, 0.0096659378199149028, 0.009674046768261375, 0.0096832969309124679, 0.0096938690892996761, 0.0097059839316107899, 0.0097199127331709743, 0.0097359915600615052, 0.0097546403809302892, 0.0097763891152774715, 0.0098019136388590635, 0.0098320863278630218, 0.0098680482321546539, 0.0099113140953605277, 0.0099639284089233955, 0.010028702798552211, 0.010109586773694808, 0.01021226429204351, 0.010345146879530301, 0.010521092799419289, 0.010760520995845655, 0.011097358298037494, 0.011591129809572848, 0.012353424502696752, 0.013611083716032821, 0.015872401268085992, 0.020401099204809908, 0.030425566844035596, 0.049322949638935396, 0.051817315272694814, 0.032650668446925386, 0.021464542751122757, 0.016420334261335323, 0.013932128496166658, 0.012562065296942716, 0.011737370691417061, 0.011205524579335008, 0.010843595992398619, 0.010586556524862173, 0.010397587866710294, 0.010254647142063811, 0.01014391142515892, 0.010056368197023663, 0.0099859434542131763, 0.0099284254091631923, 0.0098808205003231373, 0.0098409544991997604, 0.009807217823894843, 0.0097783985128251979, 0.0097535700483408951, 0.0097320143968054936, 0.0097131681884123598, 0.0096965844218486995, 0.0096819047835460977, 0.009668839350204822, 0.0096571515083432521, 0.0096466466137573714, 0.0096371633678392944, 0.0096285671919177276, 0.0096207450877689258, 0.009613601615305032, 0.0096070557183600934, 0.0096010382002420357, 0.0095954897013947396, 0.0095903590682072729, 0.0095856020288445677, 0.0095811801117908803, 0.009577059757561136, 0.0095732115851281264, 0.0095696097830143979, 0.0095662316014076959, 0.0095630569265858813, 0.009560067922748371, 0.009557248729320211, 0.0095545852041199319, 0.0095520647046157744, 0.0095496759009469183, 0.0095474086155437378, 0.0095452536851075992, 0.0095432028414561658, 0.0095412486083429459, 0.0095393842118489582, 0.0095376035023436185, 0.0095359008863383169, 0.0095342712668249705, 0.0095327099909132719, 0.0095312128037637958, 0.0095297758079666492, 0.0095283954276424998, 0.0095270683766491317, 0.0095257916303658988, 0.009524562400603705, 0.0095233781132513951, 0.0095222363883230993, 0.0095211350221170079, 0.0095200719712343271, 0.0095190453382406962, 0.0095180533587803356, 0.0095170943899779148, 0.0095161668999833998, 0.009515269458533775, 0.0095144007284205193, 0.009513559457765523, 0.0095127444730195611, 0.0095119546726076757, 0.00951118902115459, 0.0095104465442309265, 0.0095097263235678509, 0.0095090274926934309, 0.0095083492329493379, 0.0095076907698509582, 0.0095070513697580756, 0.0095064303368264727, 0.0095058270102144418, 0.0095052407615204264, 0.0095035786374547699, 0.0095020502479692265, 0.0095006426743721485, 0.0094993444769957362, 0.0094981454185112529, 0.0094970362453475343, 0.009496008514377579, 0.0094950544551469368, 0.0094941668602134942, 0.0094933389978780636, 0.0094925645428699593, 0.0094918375215252183, 0.0094911522687377535, 0.009490503394535622, 0.0094898857585776208, 0.0094892944512121741, 0.009488724780014484, 0.009488172260937339, 0.0094876326133899354, 0.0094871017587088539, 0.0094865758216149624, 0.0094860511343687875, 0.0094855242434511624, 0.0094849919187153849, 0.0094844511650899292, 0.0094838992370686586, 0.0094833336564227981, 0.0094827522338253572, 0.0094821530954218181, 0.0094815347158492252, 0.0094808959598575073, 0.0094802361356049452, 0.0094795550640120758, 0.0094788531704574734, 0.0094781316078840702, 0.0094773924245257091, 0.0094766387957113066, 0.0094758753487796197, 0.0094751086250676516, 0.0094743477466501837, 0.0094736053939559993, 0.0094728992641357826, 0.0094722542884293198, 0.0094717060761887201, 0.0094713063947155455, 0.0094711321317843926, 0.0094713004271158967, 0.0094719951809111632, 0.0094735155598157112, 0.0094763694882119276, 0.0094814655758981934, 0.0094905391639299279, 0.0095071971112445398, 0.0095398404173965383, 0.0096114861334161295, 0.0098033427688324175, 0.010570201780945785, 0.020905820616084578, 0.018864921011072542, 0.010902976982012976, 0.01006191975450991, 0.0098070172647687238, 0.0096945567130887703, 0.0096341594624917877, 0.009597549247801148, 0.0095734761143859062, 0.0095567075060081046, 0.0095445255929962544, 0.0095353974353813986, 0.0095284012753317094, 0.0095229537538033416, 0.0095186698626638991, 0.0095152864263441609, 0.0095126180822103449, 0.0095105308323527975, 0.0095089255516417753, 0.0095077273685695955, 0.0095068786332102376, 0.0095063341442734994, 0.0095060578379258989, 0.0095060204455674705, 0.0095061978079739925, 0.009506569642861281, 0.009507118631317436, 0.0095078297321746705, 0.0095086896617962314, 0.0095096864955958316, 0.0095108093603212748, 0.009512048194850237, 0.0095133935633083706, 0.009514836508594025, 0.0095163684374445379, 0.0095179810303818342, 0.0095196661714831207, 0.0095214158941072363, 0.0095232223395887699, 0.0095250777265728104, 0.0095269743291624409, 0.0095289044624303695, 0.0095308604741361214, 0.0095328347417125703, 0.0095348196737564776, 0.0095368077153898043, 0.0095387913569598502, 0.0095407631456237429, 0.0095427156994231394, 0.0095446417234992826, 0.0095465340281330746, 0.009548385548319667, 0.0095501893646058079, 0.0095519387249309116, 0.009553627067222922, 0.0095552480425063775, 0.009556795538285031, 0.0095582637019656479, 0.0095596469640931159, 0.0095609400611708726, 0.0095621380578459272, 0.0095632363682426023, 0.0095642307762375967, 0.0095651174544772004, 0.0095658929819487336, 0.0095665543599311939, 0.0095670990261645366, 0.0095675248670945724, 0.0095678302280681089, 0.0095680139213739253, 0.0095680752320467764, 0.0095680343547048761, 0.0095679118391559046, 0.0095677080344573982, 0.0095674235211327431, 0.0095670591093206213, 0.0095666158362010673, 0.0095660949627144002, 0.0095654979695940535, 0.0095648265527384178, 0.0095640826179506106, 0.0095632682750791086, 0.0095623858315952801, 0.0095614377856469025, 0.0095604268186295568, 0.009559355787319767, 0.0095582277156162233, 0.0095570457859359206, 0.0095558133303144093, 0.0095545338212588808, 0.0095532108624038648, 0.0095518481790190547, 0.0095504496084181795, 0.009549019090317688, 0.0095475606571921844, 0.009546078424673022, 0.0095445765820346383, 0.0095430593828114332, 0.0095415311355861593, 0.0095399961949889592, 0.0095384589529438728, 0.0095369238301975072, 0.0095353952681626383, 0.0095338777211066879, 0.0095323756487139359, 0.0095308935090472405, 0.0095294357519335668, 0.0095280068127960409, 0.0095266111069530462, 0.0095252530244036987, 0.0095239369251177812, 0.009522667134846844, 0.0095214479414724926, 0.0095202835919070208, 0.0095191782895610814, 0.0095181361923927441, 0.0095171614115519918, 0.0095162580106347028, 0.0095154300055601045, 0.0095146813650855873, 0.0095140160119728135, 0.0095134378248184007, 0.0095129506405622431, 0.0095125582576849506, 0.0095122644401044714, 0.0095120729217785943, 0.0095119874120166547, 0.0095120116014974828, 0.009512149168983082, 0.0095124037887073746, 0.0095127791384052498, 0.0095132789079298424, 0.0095139068083834981, 0.00951466658165908, 0.0095155620102529044, 0.0095165969271663806, 0.009517775225658923, 0.0095191008685486522, 0.0095205778966767941, 0.009522210436055608, 0.0095240027031043509, 0.0095259590072418882, 0.0095280837499449548, 0.0095303814191956271, 0.0095328565780280084, 0.0095355138456413979, 0.0095383578692741049, 0.0095413932847301808, 0.009544624663123228, 0.0095480564410529035, 0.0095516928310705445, 0.0095555377089351495, 0.0095595944738303823, 0.0095638658774363765, 0.0095683538175654354, 0.0095730590920273112, 0.009577981108550326, 0.0095831175470251131, 0.009588463971148627, 0.0095940133878310435, 0.0095997557546015373, 0.0096056774378303691, 0.0096117606279915932, 0.0096179827225214651, 0.0096243156921515492, 0.0096307254529179459, 0.0096371712732957367, 0.0096436052538806903, 0.0096499719253935658, 0.0096562080189735965, 0.0096622424700142217, 0.0096679967222040725, 0.0096733854007959256, 0.0096783174221138409, 0.0096826975985415328, 0.0096864287834281231, 0.0096894145775069298, 0.0096915625870815803, 0.009692788184708619, 0.0096930186767260687, 0.0096921977312564075, 0.0096902898689800263, 0.0096872847718666062, 0.0096832011277534942, 0.0096780897070034237, 0.0096720353667918806, 0.0096651577029272535, 0.0096576101205180908, 0.0096495771726067305, 0.0096412701164772588, 0.0096329207541742488, 0.0096247737478763612, 0.0096170777216081308, 0.0096100755673386024, 0.009603994455542721, 0.0095990360994193981, 0.0095953678325840994, 0.0095931150299733425, 0.0095923553322558308], [0.0097506463860344093, 0.0097505914484002539, 0.0097504267698800204, 0.0097501527531792479, 0.0097497700680066086, 0.0097492796488849766, 0.0097486826921109136, 0.0097479806518857813, 0.0097471752356485079, 0.0097462683986461272, 0.0097452623377833961, 0.0097441594847988734, 0.0097429624988194519, 0.009741674258349875, 0.0097402978527580258, 0.0097388365733205584, 0.0097372939038966114, 0.0097356735113000598, 0.0097339792354438192, 0.0097322150793312644, 0.0097303851989724317, 0.0097284938933037725, 0.0097265455941929098, 0.0097245448566105688, 0.0097224963490546643, 0.0097204048443136001, 0.0097182752106584041, 0.0097161124035577227, 0.009713921458013643, 0.0097117074816229741, 0.0097094756484764622, 0.0097072311940181281, 0.0097049794110005312, 0.0097027256466879156, 0.00970047530148028, 0.0096982338291577257, 0.0096960067389783508, 0.0096937995999045283, 0.0096916180472856207, 0.0096894677923920498, 0.0096873546352795135, 0.009685284481568527, 0.0096832633638590775, 0.0096812974686709026, 0.0096793931700180167, 0.0096775570710047158, 0.0096757960551892737, 0.0096741173499247136, 0.0096725286044884607, 0.0096710379865997381, 0.0096696543019582984, 0.0096683871428077921, 0.0096672470733522656, 0.0096662458623046812, 0.0096653967761606181, 0.0096647149513115795, 0.0096642178693315192, 0.0096639259684049694, 0.0096638634359703449, 0.0096640592447984359, 0.0096645485192812589, 0.0096653743542880217, 0.0096665902611543526, 0.0096682634930204403, 0.0096704796189062293, 0.0096733488955180157, 0.00967701526580147, 0.0096816692579681941, 0.009687566779374086, 0.0096950569935500743, 0.0097046244954984394, 0.0097169545353019571, 0.0097330363937667436, 0.0097543318262774611, 0.0097830583071545213, 0.0098226828378281134, 0.0098788197207413091, 0.0099609452421628546, 0.010085870964772786, 0.010285299930694648, 0.010623785578397792, 0.011246483951777372, 0.012526088748775276, 0.015611101020859683, 0.025006831217188576, 0.059081054176927092, 0.073373701575211933, 0.037029427013584221, 0.023865241195789321, 0.018955890275686439, 0.016754318954405052, 0.015690095885211634, 0.015227321887859652, 0.015168992271722664, 0.015467401168654018, 0.016178995095302219, 0.017490956764892672, 0.019841835471286477, 0.024275901790414365, 0.033474553132136174, 0.053693012709703052, 0.079204515470594025, 0.057799883234165343, 0.03159292084090564, 0.020478920212909896, 0.015731266239052504, 0.013424600837649724, 0.012172004285911668, 0.011431299821615681, 0.010963818773161866, 0.010653438804559727, 0.01043890841164944, 0.010285737661663345, 0.01017343842942686, 0.0100892874248894, 0.010025082897532411, 0.0099753676208458805, 0.0099364109041470052, 0.0099056026404217533, 0.0098810804394051169, 0.0098614934659400962, 0.0098458490667565606, 0.0098334110003646755, 0.009823630696175898, 0.0098161001948714726, 0.0098105196869547311, 0.0098066751562841652, 0.0098044232548225637, 0.0098036815824423564, 0.0098039634586718789, 0.0098048150844403537, 0.0098062547142634161, 0.0098083136699503512, 0.0098110377594865586, 0.0098144894172461569, 0.0098187507415330427, 0.0098239276918138732, 0.0098301558301383488, 0.0098376081693784673, 0.0098465059573171424, 0.0098571336330361484, 0.0098698598289153373, 0.0098851673097968135, 0.0099036964085996767, 0.0099263093219331029, 0.0099541874834740279, 0.0099889829121698696, 0.01003306052652723, 0.010089899519240454, 0.010164784906995199, 0.010266055244017542, 0.01040748022418388, 0.010613099428230334, 0.010927896687800838, 0.011443847673354917, 0.012372239044874656, 0.014281098206208308, 0.019054086953375966, 0.034067927450288117, 0.056397916605903507, 0.030289877024401297, 0.017838068203865205, 0.013787848191225728, 0.012115261615341358, 0.011284005601310333, 0.010815188764809214, 0.010526061462685702, 0.010335590332142656, 0.010203604910635553, 0.010108419563319147, 0.010037516052298292, 0.00998326732131752, 0.0099408155703039954, 0.0099069498529832396, 0.0098794799260905411, 0.0098568708632960945, 0.0098380214580275453, 0.0098221252683689877, 0.0098085809023786413, 0.0097969325841576454, 0.0097868298690704132, 0.009777999773907314, 0.009770227137674151, 0.0097633405498873151, 0.0097572021142532123, 0.0097516998987364472, 0.0097467422960228027, 0.0097422537616060553, 0.0097381715581439862, 0.0097344432436064169, 0.0097310247152842758, 0.0097278786734824145, 0.0097249734051146862, 0.0097222818133244002, 0.0097197806378984779, 0.0097174498248048091, 0.0097152720131446473, 0.0097132321151962939, 0.0097113169707499503, 0.0097095150610976323, 0.0097078162712068046, 0.0097062116910286798, 0.0097046934487592593, 0.0097032545703204347, 0.0097018888604592599, 0.0097005908017528345, 0.0096993554685075329, 0.0096981784530996568, 0.0096970558027492399, 0.009695983965076373, 0.009694959741077102, 0.009693980244389588, 0.0096930428659104395, 0.0096921452429767022, 0.0096912852324555297, 0.0096904608871886677, 0.0096896704353249662, 0.0096889122621460939, 0.0096881848940503432, 0.009687486984408902, 0.0096868173010511774, 0.0096861747151704009, 0.0096855581914706244, 0.0096849667794009688, 0.0096843996053443369, 0.0096838558656455968, 0.0096833348203798665, 0.0096828357877742494, 0.0096823581392080429, 0.0096819012947255995, 0.0096814647190047072, 0.0096810479177303951, 0.0096806504343298991, 0.0096802718470306356, 0.009679911766206882, 0.0096795698319853771, 0.0096792457120835722, 0.0096789390998571045, 0.0096786497125359583, 0.0096783772896312324, 0.0096781215914961537, 0.009677882398027313, 0.0096776595074933199, 0.0096774527354797513, 0.0096772619139403812, 0.0096770868903460795, 0.0096769275269233575, 0.0096767836999760905, 0.0096766552992840083, 0.0096765422275730505, 0.0096764444000526396, 0.0096763617440162996, 0.0096762941985019304, 0.0096762417140089842, 0.0096762042522702298, 0.009676181786076158, 0.0096761742991505351, 0.0096761817860761615, 0.0096762042522702332, 0.009676241714008979, 0.0096762941985019321, 0.0096763617440163065, 0.0096764444000526448, 0.0096765422275730609, 0.0096766552992840135, 0.0096767836999760853, 0.0096769275269233575, 0.0096770868903460778, 0.0096772619139403934, 0.0096774527354797513, 0.0096776595074933199, 0.0096778823980273061, 0.009678121591496152, 0.0096783772896312376, 0.0096786497125359652, 0.0096789390998570993, 0.0096792457120835704, 0.0096795698319853823, 0.009679911766206889, 0.0096802718470306425, 0.0096806504343298974, 0.0096810479177303916, 0.0096814647190047141, 0.0096819012947255943, 0.0096823581392080429, 0.0096828357877742563, 0.0096833348203798596, 0.0096838558656456037, 0.0096843996053443369, 0.0096849667794009706, 0.009685558191470621, 0.0096861747151704078, 0.0096868173010511843, 0.0096874869844089002, 0.0096881848940503466, 0.0096889122621460905, 0.0096896704353249628, 0.0096904608871886695, 0.0096912852324555331, 0.0096921452429766988, 0.0096930428659104395, 0.009693980244389595, 0.0096949597410771089, 0.0096959839650763695, 0.0096970558027492382, 0.0096981784530996568, 0.009699355468507526, 0.0097005908017528293, 0.0097018888604592651, 0.0097032545703204312, 0.0097046934487592627, 0.009706211691028678, 0.0097078162712068098, 0.0097095150610976306, 0.0097113169707499503, 0.0097132321151962991, 0.0097152720131446525, 0.0097174498248048125, 0.0097197806378984779, 0.0097222818133244019, 0.009724973405114681, 0.0097278786734824128, 0.0097310247152842758, 0.0097344432436064152, 0.009738171558143988, 0.0097422537616060605, 0.009746742296022801, 0.0097516998987364455, 0.009757202114253221, 0.0097633405498873168, 0.009770227137674151, 0.0097779997739073088, 0.0097868298690704097, 0.0097969325841576384, 0.0098085809023786292, 0.0098221252683689808, 0.0098380214580275314, 0.0098568708632960945, 0.0098794799260905238, 0.0099069498529832274, 0.0099408155703039573, 0.0099832673213174957, 0.010037516052298306, 0.010108419563319111, 0.010203604910635548, 0.010335590332142585, 0.010526061462685508, 0.010815188764809143, 0.011284005601309589, 0.012115261615341245, 0.013787848191221004, 0.017838068203856691, 0.030289877024355098, 0.056397916605872345, 0.034067927450298754, 0.019054086953393459, 0.014281098206210227, 0.012372239044875683, 0.01144384767335513, 0.01092789668780144, 0.010613099428230207, 0.010407480224183979, 0.010266055244017564, 0.010164784906995124, 0.010089899519240454, 0.010033060526527174, 0.0099889829121698505, 0.0099541874834740002, 0.0099263093219331081, 0.0099036964085996767, 0.0098851673097967978, 0.0098698598289153547, 0.0098571336330361362, 0.0098465059573171511, 0.0098376081693784638, 0.0098301558301383471, 0.0098239276918138767, 0.0098187507415330427, 0.0098144894172461587, 0.0098110377594865638, 0.0098083136699503477, 0.0098062547142634109, 0.009804815084440352, 0.0098039634586718789, 0.0098036815824423616, 0.009803822397293941, 0.0098042463481846521, 0.0098049579865310387, 0.0098059650072571218, 0.0098072784169109858, 0.0098089127778232289, 0.0098108865377091563, 0.0098132224577256316, 0.0098159481563996655, 0.0098190967923559493, 0.0098227079157951185, 0.0098268285277671712, 0.0098315143982082732, 0.0098368317095267055, 0.0098428591137339726, 0.0098496903198594284, 0.0098574373677482747, 0.0098662347988367188, 0.0098762450108009683, 0.0098876651911068286, 0.0099007363796802406, 0.0099157554367238464, 0.0099330910250923794, 0.0099532052167186583, 0.0099766830956605004, 0.010004273916620628, 0.010036949259886017, 0.010075986676946407, 0.010123092397454053, 0.010180585340253439, 0.010251679939298002, 0.010340933097754896, 0.010454973165781796, 0.01060373264118487, 0.010802621467822475, 0.011076549521292896, 0.011467809857299852, 0.0120526125158261, 0.012978676847343242, 0.014559203092569186, 0.01753320793759635, 0.023833967183481224, 0.038145586942849731, 0.057524739668887465, 0.045399613572528523, 0.027423553156312265, 0.019126977199113611, 0.015352843799729631, 0.013420143318178628, 0.012319803794649909, 0.011639751284678286, 0.011192059299388865, 0.010882412715512711, 0.010659628479540478, 0.010494106127222401, 0.010367808201276058, 0.010269254440840959, 0.010190864955870899, 0.010127475955192342, 0.010075473366466643, 0.010032267607307164, 0.0099959644947720024, 0.00996515298702794, 0.0099387647251616175, 0.0099159789407971682, 0.0098961567461850666, 0.0098787948829429807, 0.0098634926190048176, 0.0098499276933704093, 0.0098378385913998612, 0.0098270113173746631, 0.0098172694069285672, 0.0098084663037787158, 0.009800479482489334, 0.0097932058750037961, 0.0097865582807591493, 0.0097804625259709042, 0.009774855198672619, 0.0097696818299603753, 0.0097648954237731216, 0.0097604552609393807, 0.0097563259205558014, 0.0097524764747181462, 0.0097488798223865445, 0.0097455121355805845, 0.0097423523967702808, 0.0097393820106988372, 0.0097365844772606801, 0.0097339451147032095, 0.0097314508244964563, 0.0097290898908543293, 0.0097268518091927405, 0.0097247271388486121, 0.0097227073762170078, 0.0097207848451348437, 0.0097189526018837038, 0.0097172043526256961, 0.009715534381447689, 0.009713937487485046, 0.0097124089298392877, 0.0097109443792056938, 0.0097095398752932889, 0.0097081917892586685, 0.009706896790490813, 0.0097056518171811188, 0.0097044540501943308, 0.0097033008898244847, 0.0097021899350785128, 0.0097011189651786539, 0.0097000859230170367, 0.0096990889003310873, 0.0096981261243990913, 0.0096971959460808062, 0.0096962968290508541, 0.0096954273400912949, 0.0096945861403268333, 0.0096937719772999149, 0.0096929836777958356, 0.0096922201413382168, 0.0096914803342850325, 0.009690763284463123, 0.0096900680762863831, 0.0096893938463090516, 0.0096887397791708667, 0.0096881051038957069, 0.0096874890905093245, 0.0096868910469459172, 0.0096863103162158695, 0.0096846659042589423, 0.009683156518410705, 0.0096817687742318803, 0.0096804908679174427, 0.0096793122752665151, 0.0096782235148265786, 0.0096772159607728114, 0.0096762816946408033, 0.0096754133876424901, 0.0096746042072295407, 0.0096738477430139604, 0.0096731379482455412, 0.0096724690938732281, 0.0096718357328513926, 0.009671232672840915, 0.0096706549558357811, 0.0096700978435452882, 0.0096695568076001909, 0.0096690275238444992, 0.00966850587013484, 0.0096679879272073346, 0.00966746998229631, 0.0096669485353084676, 0.0096664203074788586, 0.0096658822525710116, 0.0096653315708440293, 0.0096647657262098879, 0.0096641824672642849, 0.009663579853222996, 0.0096629562862725164, 0.0096623105525086919, 0.0096616418745769355, 0.0096609499804748335, 0.0096602351949344606, 0.0096594985626799728, 0.0096587420171514917, 0.0096579686147897446, 0.0096571828649829033, 0.0096563912014417212, 0.0096556026657582256, 0.0096548299146017157, 0.0096540907298185222, 0.0096534103265920566, 0.0096528249585391256, 0.0096523876882559888, 0.009652177886960555, 0.0096523173885780383, 0.0096529990193312421, 0.0096545392863095839, 0.0096574810305859737, 0.0096628068925894775, 0.0096724207189372476, 0.0096903521127575977, 0.0097262177491828396, 0.0098073093616502967, 0.010035621007961779, 0.011054544670052043, 0.033419685135915235, 0.015499992734217715, 0.010842116057673146, 0.010182422658901001, 0.0099646678857518243, 0.0098645003458400441, 0.0098093391837288553, 0.009775336196277816, 0.009752706532518092, 0.0097368007157114644, 0.0097251652576938134, 0.0097163992832893023, 0.0097096521753868969, 0.0097043812723450126, 0.0097002260198873983, 0.0096969385486369193, 0.0096943434122566414, 0.0096923132288017112, 0.0096907534001395654, 0.0096895922207751312, 0.0096887742972538663, 0.0096882560630152815, 0.0096880026552446184, 0.0096879856982204846, 0.0096881817029862167, 0.009688570894219482, 0.0096891363384605817, 0.0096898632883827083, 0.0096907386842622241, 0.0096917507714254347, 0.0096928888043717291, 0.0096941428164696759, 0.0096955034398377958, 0.0096969617640607336, 0.0096985092252809338, 0.0097001375192963951, 0.0097018385338242183, 0.009703604296218294, 0.0097054269337706525, 0.0097072986443574923, 0.0097092116756687802, 0.0097111583116235214, 0.009713130864851361, 0.0097151216743342622, 0.0097171231074665576, 0.0097191275659182334, 0.0097211274947839078, 0.0097231153945742319, 0.0097250838356642867, 0.0097270254748560662, 0.0097289330737449133, 0.0097307995186035369, 0.0097326178415148411, 0.0097343812424967487, 0.0097360831123715734, 0.0097377170561383005, 0.0097392769166104835, 0.009740756798086541, 0.0097421510898221073, 0.0097434544890780753, 0.0097446620235226294, 0.0097457690727705184, 0.0097467713888511973, 0.0097476651154052695, 0.0097484468054204014, 0.0097491134373303354, 0.0097496624293153759, 0.009750091651660275, 0.0097503994370432244, 0.0097505845886506279, 0.0097506463860344093, 0.0097506051841927642, 0.0097504816960564556, 0.009750276273415898, 0.00974998950134001, 0.0097496221963117753, 0.0097491754036350686, 0.0097486503941290169, 0.0097480486601311776, 0.0097473719108347959, 0.0097466220669892873, 0.0097458012549971572, 0.0097449118004435797, 0.0097439562210981604, 0.0097429372194309007, 0.009741857674686669, 0.0097407206345647458, 0.0097395293065506757, 0.0097382870489498077, 0.0097369973616716447, 0.0097356638768149664, 0.0097342903491035582, 0.0097328806462216068, 0.0097314387390977815, 0.009729968692185044, 0.009728474653782633, 0.0097269608464449625, 0.0097254315575200419, 0.0097238911298584904, 0.0097223439527318791, 0.0097207944529971377, 0.0097192470865413074, 0.009717706330038876, 0.0097161766730512154, 0.0097146626104960832, 0.0097131686355122829, 0.0097116992327426939, 0.0097102588720571828, 0.0097088520027345891, 0.0097074830481215166, 0.0097061564007840991, 0.0097048764181673752, 0.0097036474187758674, 0.0097024736788876732, 0.0097013594298135594, 0.0097003088557118707, 0.0096993260919689701, 0.0096984152241546325, 0.0096975802875609307, 0.0096968252673323551, 0.0096961540991940109, 0.0096955706707833305, 0.0096950788235892101, 0.0096946823554997612, 0.0096943850239570861, 0.0096941905497125776, 0.0096941026211710343, 0.0096941248993037289, 0.009694261023100989, 0.0096945146155220444, 0.0096948892898835667, 0.0096953886566080241, 0.0096960163302276352, 0.0096967759365077667, 0.0096976711195152533, 0.0096987055484094951, 0.0096998829236772093, 0.0097012069824625562, 0.0097026815025624564, 0.0097043103045596959, 0.0097060972514520141, 0.0097080462450024711, 0.0097101612178828144, 0.0097124461205065089, 0.0097149049012499565, 0.0097175414785407709, 0.0097203597030505393, 0.009723363307971104, 0.0097265558450827586, 0.0097299406040490879, 0.0097335205121098084, 0.0097372980111076445, 0.0097412749086031661, 0.0097454521997340122, 0.0097498298565030367, 0.0097544065813843714, 0.009759179522576357, 0.0097641439489770492, 0.0097692928840900951, 0.0097746166996707951, 0.009780102672080522, 0.0097857345071106477, 0.0097914918425296357, 0.0097973497418271036, 0.0098032781975629958, 0.0098092416682877062, 0.0098151986790037116, 0.00982110152129133, 0.0098268960950936377, 0.009832521939162793, 0.0098379125005902193, 0.0098429956948225539, 0.0098476948051703754, 0.0098519297641217491, 0.0098556188469516599, 0.0098586807906035391, 0.0098610373274484048, 0.0098626160947053541, 0.009863353847142908, 0.0098631998650579016, 0.0098621194141001664, 0.0098600970815655338, 0.0098571397889981958, 0.0098532792670110222, 0.0098485737784080006, 0.0098431088922952149, 0.0098369971458592727, 0.0098303764811805364, 0.00982340740933332, 0.0098162689289695571, 0.0098091533061246006, 0.0098022598999063081, 0.0097957882886965247, 0.0097899310077285834, 0.0097848662467475405, 0.0097807508727990339, 0.0097777141366511607, 0.0097758523923128695, 0.0097752251095321232], [0.009917143121446266, 0.0099170878391718065, 0.0099169221274500452, 0.009916646391141799, 0.0099162613035383845, 0.009915767804158487, 0.009915167095688085, 0.0099144606400866676, 0.0099136501538902057, 0.0099127376027471851, 0.0099117251952294278, 0.0099106153759654699, 0.0099094108181489605, 0.009908114415479034, 0.0099067292735939925, 0.0099052587010633568, 0.0099037062000065616, 0.0099020754564093094, 0.0099003703302115807, 0.0098985948452428862, 0.009896753179083036, 0.0098948496529274645, 0.0098928887215391677, 0.0098908749633697113, 0.0098888130709345896, 0.0098867078415302654, 0.0098845641683825997, 0.0098823870323206491, 0.0098801814940737125, 0.0098779526872957886, 0.0098757058124293948, 0.0098734461315299407, 0.0098711789641851445, 0.0098689096846796484, 0.0098666437205753698, 0.0098643865529036614, 0.0098621437181981575, 0.0098599208126373995, 0.0098577234986176876, 0.0098555575141411143, 0.0098534286854844652, 0.0098513429437168173, 0.009849306345762884, 0.0098473251008723301, 0.0098454056035634889, 0.0098435544743752171, 0.0098417786101011942, 0.0098400852456195561, 0.0098384820299989191, 0.009836977120301944, 0.0098355792974769221, 0.0098342981100060789, 0.0098331440526753106, 0.0098321287900972037, 0.0098312654376706155, 0.0098305689168014399, 0.009830056406874222, 0.0098297479242822026, 0.0098296670697124965, 0.0098298420001977499, 0.0098303067042093614, 0.0098311026893395121, 0.0098322812375845822, 0.0098339064501813435, 0.009836059403839045, 0.0098388438914560339, 0.0098423944530201934, 0.009846887766249604, 0.009852559046249737, 0.0098597260458201802, 0.0098688248138963652, 0.0098804640351306868, 0.0098955094340076755, 0.0099152181210465894, 0.009941458389777006, 0.0099770806938828185, 0.010026566507696882, 0.010097210960442356, 0.010201384794092442, 0.010361115177851939, 0.010618023505564889, 0.011056780569796707, 0.01186659309175672, 0.01352517265915032, 0.017446265999752877, 0.028625447582960435, 0.062140178288630311, 0.079463916911353669, 0.047119821017848673, 0.031149440529038935, 0.024643500246936505, 0.02176446725569376, 0.020584764679093381, 0.020462462310853701, 0.021271643131129631, 0.023245712077652997, 0.027129449007666024, 0.034761403471582158, 0.050243793058851377, 0.075527598877495092, 0.07577622229220736, 0.045271184378696143, 0.027078691880408574, 0.019094579583345012, 0.01534153310447293, 0.013381347279796294, 0.012262023513476925, 0.011576305424099332, 0.011132326323376565, 0.010831897150950447, 0.010621209861993847, 0.010469061326891176, 0.010356482987317745, 0.010271476053770297, 0.010206189171554076, 0.010155333255311561, 0.010115254648257794, 0.010083373922056932, 0.01005783551976289, 0.010037283074204564, 0.010020711881599991, 0.010007370020652549, 0.0099966908991815269, 0.0099882465745531473, 0.0099817151155587695, 0.009976857676736518, 0.0099735024666672417, 0.0099715337669707502, 0.0099708848088639456, 0.0099711339218292675, 0.009971886175120695, 0.0099731565123365711, 0.0099749705217119736, 0.0099773655107215208, 0.0099803921188502311, 0.0099841165914184102, 0.0099886238958973531, 0.0099940219435377588, 0.010000447295730571, 0.010008072905651368, 0.010017118702313834, 0.010027866216773961, 0.010040679063638732, 0.01005603207069897, 0.010074553451712865, 0.010097087106812218, 0.010124786781494635, 0.010159262105296885, 0.010202811867630272, 0.010258809449650382, 0.010332365055254597, 0.010431516792215909, 0.010569492309096134, 0.010769292833063429, 0.011073758199836001, 0.011569994721626975, 0.012456787741887326, 0.01426466620451263, 0.018745533286564017, 0.032997867364824088, 0.058991639634868337, 0.032101789618297655, 0.018347988385068553, 0.014035632714188926, 0.012296723638753292, 0.011445233911913138, 0.010969848064487827, 0.010678857604611345, 0.010488282664418782, 0.010356861033083446, 0.010262469967824933, 0.010192408903198898, 0.010138974775135073, 0.010097280238969773, 0.010064105579422699, 0.010037261019779123, 0.010015215991937774, 0.0099968750301520914, 0.0099814376465463869, 0.0099683080938237634, 0.0099570357237475735, 0.0099472746470603574, 0.009938755879531587, 0.0099312677491631262, 0.0099246418811930609, 0.0099187430189738145, 0.0099134615272811893, 0.0099087078003435546, 0.0099044080414643996, 0.0099005010431734378, 0.0098969357059907666, 0.0098936691085165888, 0.0098906649933014016, 0.0098878925692934879, 0.0098853255574969691, 0.0098829414250475121, 0.009880720766409553, 0.0098786468003012329, 0.0098767049582884018, 0.0098748825464684414, 0.0098731684657933534, 0.009871552979715429, 0.0098700275202359584, 0.0098685845252838838, 0.0098672173017825323, 0.0098659199098795943, 0.0098646870646919311, 0.009863514052609006, 0.0098623966597478196, 0.0098613311105906192, 0.0098603140151878946, 0.0098593423235924654, 0.009858413286419291, 0.0098575244206123187, 0.009856673479651256, 0.0098558584275562321, 0.0098550774161503714, 0.0098543287651253787, 0.0098536109445252918, 0.0098529225593216724, 0.0098522623358027004, 0.0098516291095389098, 0.0098510218147229815, 0.0098504394747094548, 0.0098498811936049754, 0.0098493461487799295, 0.0098488335841902877, 0.0098483428044129576, 0.0098478731693111294, 0.0098474240892566182, 0.0098469950208458848, 0.0098465854630544192, 0.0098461949537807254, 0.009845823066737933, 0.0098454694086554453, 0.0098451336167580065, 0.0098448153564934891, 0.009844514319483905, 0.009844230221677271, 0.0098439628016807109, 0.0098437118192570994, 0.0098434770539699897, 0.0098432583039631608, 0.0098430553848625601, 0.0098428681287901637, 0.0098426963834801588, 0.0098425400114892075, 0.0098423988894934828, 0.0098422729076659294, 0.0098421619691283439, 0.0098420659894730145, 0.0098419848963501207, 0.0098419186291170153, 0.0098418671385463122, 0.0098418303865904933, 0.0098418083462008081, 0.0098418010011990121, 0.0098418083462008116, 0.0098418303865904951, 0.0098418671385463088, 0.0098419186291170153, 0.0098419848963501276, 0.0098420659894730179, 0.0098421619691283508, 0.0098422729076659363, 0.0098423988894934741, 0.0098425400114892075, 0.0098426963834801588, 0.0098428681287901706, 0.0098430553848625601, 0.0098432583039631573, 0.0098434770539699845, 0.0098437118192570942, 0.0098439628016807178, 0.0098442302216772762, 0.0098445143194838981, 0.0098448153564934873, 0.0098451336167580134, 0.0098454694086554523, 0.0098458230667379382, 0.0098461949537807184, 0.0098465854630544157, 0.00984699502084589, 0.009847424089256613, 0.0098478731693111277, 0.0098483428044129646, 0.0098488335841902773, 0.009849346148779933, 0.0098498811936049771, 0.0098504394747094583, 0.0098510218147229763, 0.0098516291095389168, 0.0098522623358027021, 0.0098529225593216724, 0.0098536109445252953, 0.0098543287651253787, 0.0098550774161503697, 0.0098558584275562373, 0.0098566734796512612, 0.0098575244206123153, 0.009858413286419291, 0.0098593423235924706, 0.009860314015187898, 0.0098613311105906175, 0.0098623966597478213, 0.0098635140526090095, 0.0098646870646919259, 0.0098659199098795891, 0.009867217301782534, 0.0098685845252838838, 0.0098700275202359602, 0.0098715529797154308, 0.0098731684657933569, 0.009874882546468438, 0.0098767049582884018, 0.0098786468003012416, 0.009880720766409553, 0.0098829414250475155, 0.0098853255574969708, 0.0098878925692934879, 0.0098906649933013947, 0.0098936691085165923, 0.0098969357059907632, 0.0099005010431734413, 0.0099044080414644013, 0.0099087078003435546, 0.0099134615272811859, 0.0099187430189738145, 0.0099246418811930644, 0.0099312677491631279, 0.009938755879531587, 0.009947274647060354, 0.0099570357237475718, 0.0099683080938237564, 0.0099814376465463747, 0.0099968750301520828, 0.010015215991937759, 0.010037261019779123, 0.010064105579422675, 0.010097280238969752, 0.010138974775135021, 0.010192408903198866, 0.010262469967824959, 0.010356861033083397, 0.010488282664418777, 0.010678857604611253, 0.010969848064487562, 0.01144523391191303, 0.012296723638751981, 0.01403563271418856, 0.018347988385055559, 0.032101789618267373, 0.058991639634859129, 0.032997867364888203, 0.018745533286565891, 0.014264666204518462, 0.01245678774188824, 0.011569994721627491, 0.011073758199836076, 0.0107692928330638, 0.010569492309096056, 0.010431516792215979, 0.010332365055254618, 0.010258809449650335, 0.010202811867630271, 0.010159262105296846, 0.010124786781494619, 0.010097087106812196, 0.01007455345171287, 0.010056032070698972, 0.010040679063638718, 0.010027866216773974, 0.010017118702313825, 0.010008072905651373, 0.010000447295730568, 0.0099940219435377554, 0.0099886238958973566, 0.009984116591418412, 0.0099803921188502329, 0.0099773655107215226, 0.0099749705217119702, 0.0099731565123365711, 0.0099718861751206932, 0.0099711339218292658, 0.0099708848088639543, 0.0099710092644026763, 0.00997138386695017, 0.009972012348978751, 0.0099729010143879224, 0.0099740588661972312, 0.0099754977915305389, 0.00997723281050511, 0.0099792823981325503, 0.0099816688913497327, 0.0099844189970195747, 0.0099875644214285214, 0.0099911426478001501, 0.0099951978961019729, 0.0099997823095785785, 0.010004957425876558, 0.010010796008568483, 0.010017384339084551, 0.010024825102033529, 0.010033241042286015, 0.01004277963536428, 0.010053619101613544, 0.010065976221369313, 0.010080116591337313, 0.01009636823038983, 0.010115139841420338, 0.010136945638082789, 0.010162439571729558, 0.010192463247228903, 0.010228114145146574, 0.010270844587383067, 0.010322608311411257, 0.010386082649235497, 0.010465014204880184, 0.010564772785000159, 0.010693269427482827, 0.010862537895233752, 0.011091584322707564, 0.011411799578125804, 0.011877900364474375, 0.01259175560787921, 0.013759100029486914, 0.015839286798308184, 0.019984513905638525, 0.029333967883152394, 0.049517466960285118, 0.058564453517923977, 0.036592422254443029, 0.023034620075758391, 0.01721080516974504, 0.014451270838457873, 0.012973664059611398, 0.012101785591423614, 0.011547833839414309, 0.011175232021059675, 0.010913103392966072, 0.010721910998542895, 0.010578264747921475, 0.010467639853526766, 0.010380643770932065, 0.01031099077299124, 0.010254348841552602, 0.010207655512104848, 0.010168697177417457, 0.010135842186126939, 0.010107866789414742, 0.010083838831970017, 0.010063038317625709, 0.010044902086719158, 0.010028984599342497, 0.010014929686339479, 0.01000244990120901, 0.0099913112246261884, 0.0099813215940372964, 0.0099723222038671303, 0.0099641808377183665, 0.0099567867081393011, 0.00995004642692136, 0.0099438808316763046, 0.0099382224670317831, 0.0099330135706495338, 0.0099282044517349025, 0.0099237521770480491, 0.009919619499572976, 0.0099157739799794909, 0.0099121872622462207, 0.0099088344733035249, 0.0099056937230240436, 0.0099027456858499941, 0.0098999732491808577, 0.0098973612166248365, 0.0098948960565498623, 0.0098925656882045375, 0.0098903592991317988, 0.0098882671887533923, 0.0098862806339268701, 0.009884391773019861, 0.0098825935056450036, 0.0098808794056856695, 0.0098792436456382471, 0.0098776809306205613, 0.0098761864406618511, 0.0098747557801090336, 0.0098733849331649956, 0.0098720702247252611, 0.0098708082858048295, 0.0098695960229515725, 0.0098684305911303158, 0.0098673093696360556, 0.0098662299406564128, 0.0098651900701565622, 0.0098641876908043789, 0.0098632208866916513, 0.0098622878796393882, 0.0098613870169032541, 0.0098605167601186171, 0.0098596756753452554, 0.0098588624240891765, 0.0098580757551942882, 0.009857314497509569, 0.0098565775532488652, 0.0098558638919702072, 0.0098551725451101694, 0.0098545026010161112, 0.0098538532004258089, 0.0098532235323497384, 0.009852612830315818, 0.0098520203689415921, 0.009851445460801812, 0.0098498196924029346, 0.0098483302429476088, 0.0098469632390886276, 0.0098457064978918398, 0.0098445491991752208, 0.0098434816287534654, 0.0098424949763450259, 0.0098415811759678378, 0.009840732779619615, 0.0098399428572257495, 0.0098392049174643691, 0.0098385128452972721, 0.0098378608529574203, 0.0098372434418460761, 0.0098366553733322797, 0.0098360916468654396, 0.0098355474841388055, 0.0098350183183007634, 0.0098344997874195358, 0.0098339877315788485, 0.0098334781931287019, 0.0098329674197465602, 0.0098324518700884708, 0.0098319282219363636, 0.0098313933828870336, 0.0098308445037919197, 0.0098302789953604152, 0.0098296945486038186, 0.0098290891601517053, 0.0098284611639583731, 0.0098278092715968542, 0.0098271326243008703, 0.0098264308613005558, 0.00982570421101551, 0.0098249536146478873, 0.0098241808961793877, 0.0098233889995557131, 0.009822582324314209, 0.0098217672073699237, 0.009820952625045884, 0.0098201512325790316, 0.0098193809305787867, 0.0098186672720421836, 0.0098180472430033847, 0.0098175753506851201, 0.0098173337121423617, 0.0098174493354453839, 0.009818124891487142, 0.0098196960814965345, 0.0098227446466212023, 0.0098283365027100819, 0.0098385676433944847, 0.0098579590434281477, 0.0098975800343734342, 0.0099900523109455828, 0.010265270555673155, 0.011665534004519973, 0.068632221844218008, 0.013806379655305822, 0.010824901122017311, 0.010296964911847915, 0.010109285793817094, 0.01001961775696511, 0.0099690767702425506, 0.0099374263222235578, 0.0099161209446700285, 0.0099010170987084804, 0.0098898950457863739, 0.0098814724301896223, 0.00987496324743776, 0.00986986216925923, 0.0098658312656971416, 0.0098626369338843355, 0.0098601130312913864, 0.0098581384203392797, 0.0098566227990528037, 0.00985549748192633, 0.0098547092384519679, 0.0098542160765504247, 0.0098539842957258462, 0.0098539863886671283, 0.0098541995217920515, 0.0098546044184067323, 0.009855184526746559, 0.0098559253928218547, 0.0098568141826777013, 0.0098578393151570621, 0.00985899017744085, 0.0098602569033487217, 0.0098616301997728906, 0.0098631012104351025, 0.0098646614088931557, 0.0098663025147080231, 0.0098680164281362559, 0.009869795179787786, 0.009871630892491828, 0.009873515753216976, 0.0098754419933490007, 0.0098774018759778207, 0.0098793876891121821, 0.0098813917439453669, 0.0098834063774529569, 0.0098854239587255616, 0.0098874368985330478, 0.0098894376616880178, 0.0098914187818319229, 0.00989337287830774, 0.0098952926748144682, 0.0098971710195612499, 0.009899000906655523, 0.0099007754984708138, 0.0099024881487483896, 0.0099041324261923188, 0.0099057021383213758, 0.0099071913553448014, 0.0099085944338317047, 0.0099099060399472881, 0.0099111211720339237, 0.0099122351823195502, 0.0099132437975442429, 0.0099141431383037142, 0.0099149297369197989, 0.009915600553660869, 0.0099161529911495298, 0.0099165849068128063, 0.0099168946232476886, 0.0099170809363962296, 0.009917143121446266, 0.0099171016611402096, 0.0099169773983399639, 0.0099167706870216879, 0.0099164821158899269, 0.0099161125065024332, 0.009915662910661871, 0.0099151346070910674, 0.0099145290974130395, 0.0099138481014612451, 0.0099130935519494302, 0.009912267588534418, 0.0099113725513083235, 0.0099104109737598711, 0.0099093855752471604, 0.0099082992530263175, 0.0099071550738829423, 0.0099059562654137037, 0.0099047062070077765, 0.0099034084205774277, 0.0099020665610878786, 0.0099006844069364792, 0.0098992658502303887, 0.0098978148870118576, 0.0098963356074782838, 0.0098948321862434522, 0.0098933088726846693, 0.0098917699814184152, 0.0098902198829452226, 0.0098886629945025804, 0.0098871037711620226, 0.0098855466972044871, 0.0098839962778056005, 0.0098824570310598551, 0.0098809334803708973, 0.0098794301472322123, 0.0098779515444204005, 0.009876502169621373, 0.0098750864995074128, 0.0098737089842811411, 0.0098723740427009102, 0.009871086057600155, 0.0098698493719119578, 0.0098686682852084772, 0.0098675470507637759, 0.0098664898731472515, 0.0098655009063535574, 0.0098645842524740096, 0.0098637439609128054, 0.0098629840281501437, 0.0098623083980525147, 0.0098617209627282557, 0.009861225563923744, 0.0098608259949522058, 0.0098605260031425709, 0.0098603292927900554, 0.0098602395285830782, 0.0098602603394715264, 0.0098603953229298522, 0.0098606480495538832, 0.0098610220679117098, 0.0098615209095465513, 0.0098621480940019532, 0.0098629071337054744, 0.009863801538506389, 0.0098648348196135934, 0.009866010492621027, 0.0098673320792382578, 0.0098688031072616256, 0.0098704271082256084, 0.0098722076120630765, 0.009874148137975514, 0.0098762521805703923, 0.0098785231901606374, 0.0098809645459426512, 0.0098835795205754872, 0.0098863712344774979, 0.0098893425979441479, 0.009892496238979016, 0.0098958344145307197, 0.0098993589026574597, 0.0099030708730183346, 0.0099069707330433198, 0.0099110579471947714, 0.0099153308269432413, 0.0099197862894870713, 0.0099244195839037729, 0.0099292239843922717, 0.0099341904516128589, 0.0099393072649193396, 0.0099445596305613275, 0.0099499292737539984, 0.0099553940258833538, 0.0099609274220081711, 0.0099664983281571255, 0.0099720706225427322, 0.009977602959484945, 0.0099830486492089587, 0.0099883556903096783, 0.0099934669940025048, 0.0099983208396779624, 0.010002851599069369, 0.010006990760867829, 0.010010668278325826, 0.010013814248919522, 0.010016360917450007, 0.010018244972428168, 0.010019410081080392, 0.010019809582245399, 0.010019409230730169, 0.010018189863688104, 0.01001614984182264, 0.010013307108212606, 0.010009700707445671, 0.010005391619017858, 0.010000462782138814, 0.0099950182235865447, 0.0099891812443381467, 0.0099830916715502715, 0.009976902236488585, 0.0099707741921855435, 0.0099648723329320912, 0.0099593596175892394, 0.0099543916273178573, 0.0099501111038284885, 0.0099466428158814721, 0.0099440889897592418, 0.0099425255148899716, 0.0099419991004621126], [0.010068954762322502, 0.010068899212648849, 0.010068732699267009, 0.010068455628648072, 0.01006806867675971, 0.010067572786852054, 0.010066969166382301, 0.010066259283101626, 0.01006544486033497, 0.010064527871490333, 0.010063510533839578, 0.010062395301618871, 0.010061184858501524, 0.010059882109500743, 0.010058490172363831, 0.010057012368523513, 0.010055452213674959, 0.010053813408050078, 0.010052099826463393, 0.010050315508205645, 0.010048464646863627, 0.010046551580145812, 0.01004458077979609, 0.010042556841678301, 0.010040484476117197, 0.010038368498583104, 0.010036213820810179, 0.010034025442442052, 0.010031808443302518, 0.010029567976394968, 0.01002730926174185, 0.010025037581184311, 0.010022758274275203, 0.010020476735413621, 0.010018198412389131, 0.010015928806528334, 0.010013673474668411, 0.010011438033220891, 0.010009228164638709, 0.010007049626661655, 0.0100049082647931, 0.010002810028558915, 0.010000760992223467, 0.0099987673807935482, 0.0099968356023399357, 0.0099949722879185392, 0.0099931843406965565, 0.009991478996303968, 0.0099898638969666206, 0.0099883471826729495, 0.0099869376035343002, 0.0099856446586912995, 0.0099844787686946823, 0.0099834514903858109, 0.0099825757861110795, 0.009981866362896781, 0.009981340102369703, 0.0099810166092849494, 0.0099809189163139363, 0.0099810743964185173, 0.0099815159534176797, 0.0099822835888227403, 0.0099834264825846945, 0.0099850057830610361, 0.0099870983865977883, 0.0099898021143628897, 0.0099932428870808335, 0.0099975847956413188, 0.010003044431223731, 0.010009911581137683, 0.010018579604025003, 0.010029590803741341, 0.010043705531567368, 0.010062009696176188, 0.010086086040580514, 0.010118294332127704, 0.010162243594146712, 0.010223615389463229, 0.010311655790081121, 0.010442002882001662, 0.010642332671351659, 0.010964349224118621, 0.01151118507818685, 0.012505740099004761, 0.014479464393704511, 0.01885239652430799, 0.029778647230392939, 0.056872455125237607, 0.08520103996036904, 0.068878544157558258, 0.049520824885308845, 0.039976454850597865, 0.036159749228067098, 0.035856100053319864, 0.038670480120106043, 0.045568701593452124, 0.058809744265940586, 0.078068971690676836, 0.082432877694435455, 0.057286104631653845, 0.034906797478886795, 0.023463476176591853, 0.017876948370963156, 0.014962236475715289, 0.013320272889571121, 0.012331418204154641, 0.011702189572447338, 0.011283341642790158, 0.010993991281666194, 0.010787838544434269, 0.010637113145035031, 0.010524479808285974, 0.010438738468013296, 0.010372433862116864, 0.010320472628456047, 0.010279294781913638, 0.01024636176975258, 0.010219831366606914, 0.010198346136369472, 0.010180892778230428, 0.010166706793491152, 0.010155206776173684, 0.010145948470885222, 0.010138592284692299, 0.010132880139343305, 0.010128618946105842, 0.010125668891423153, 0.010123935324220327, 0.010123363448966019, 0.010123585320670755, 0.010124255013883825, 0.010125384918027122, 0.010126996209497523, 0.010129119679725384, 0.010131796972432515, 0.010135082317856431, 0.010139044892429165, 0.010143771988127822, 0.010149373254272712, 0.010155986387919718, 0.010163784815969442, 0.010172988162818291, 0.010183876681132503, 0.010196811422728529, 0.010212262883263164, 0.010230852417862655, 0.010253413346750057, 0.010281083195138796, 0.010315446576454656, 0.010358763129627394, 0.010414343607730196, 0.010487195091773619, 0.010585179586269739, 0.010721210084680426, 0.010917693103010592, 0.011216262574500238, 0.011701352148638478, 0.012565114211330745, 0.014319161781329467, 0.018654759463840882, 0.032604463113900667, 0.061157080201015138, 0.033259400302610556, 0.018642973288898121, 0.014194329455007029, 0.012429881658625814, 0.011574376820770976, 0.011099941632295758, 0.010810984930700058, 0.010622499468702371, 0.010492956233600536, 0.010400187051110409, 0.010331510194551098, 0.010279256673170416, 0.010238573055722081, 0.010206269063867851, 0.010180179250826054, 0.010158792787496585, 0.010141030135000038, 0.010126103666477133, 0.010113428060726102, 0.010102561168158931, 0.010093164070226078, 0.010084973537343512, 0.010077782679160648, 0.010071427119367914, 0.010065774965384824, 0.010060719428940769, 0.010056173327053979, 0.010052064935771444, 0.01004833482978257, 0.010044933449178737, 0.010041819208513736, 0.010038957014500263, 0.010036317094595137, 0.010033874064238588, 0.010031606178842169, 0.01002949472992634, 0.010027523554566809, 0.010025678634530182, 0.010023947766871818, 0.010022320291827947, 0.010020786866913919, 0.010019339278495154, 0.010017970283908686, 0.010016673478618149, 0.010015443183979213, 0.010014274352051907, 0.01001316248457358, 0.010012103563744034, 0.01001109399290288, 0.010010130545522853, 0.010009210321219235, 0.010008330707699683, 0.010007489347760103, 0.010006684110581043, 0.010005913066700138, 0.010005174466136402, 0.010004466719224607, 0.010003788379786077, 0.010003138130319443, 0.010002514768941853, 0.010001917197851198, 0.010001344413112822, 0.010000795495602503, 0.01000026960296089, 0.0099997659624349224, 0.0099992838644983525, 0.0099988226571584831, 0.0099983817408680377, 0.0099979605639721573, 0.0099975586186293042, 0.0099971754371525681, 0.0099968105887250289, 0.0099964636764480735, 0.0099961343346870266, 0.009995822226682622, 0.0099955270424006582, 0.0099952484965954939, 0.0099949863270660366, 0.0099947402930851224, 0.0099945101739858048, 0.0099942957678896757, 0.009994096890564276, 0.0099939133743980457, 0.0099937450674827764, 0.0099935918327945048, 0.0099934535474651819, 0.0099933301021380098, 0.0099932214004006953, 0.0099931273582910523, 0.0099930479038708563, 0.0099929829768637558, 0.009992932528354188, 0.0099928965205445391, 0.0099928749265684978, 0.0099928677303588315, 0.0099928749265684996, 0.0099928965205445443, 0.0099929325283541863, 0.0099929829768637592, 0.0099930479038708615, 0.009993127358291061, 0.0099932214004007005, 0.0099933301021380132, 0.009993453547465175, 0.0099935918327945083, 0.0099937450674827746, 0.0099939133743980543, 0.009994096890564276, 0.009994295767889674, 0.0099945101739857996, 0.0099947402930851189, 0.0099949863270660418, 0.0099952484965954991, 0.0099955270424006513, 0.009995822226682622, 0.0099961343346870336, 0.0099964636764480821, 0.0099968105887250306, 0.0099971754371525647, 0.0099975586186293024, 0.0099979605639721591, 0.0099983817408680342, 0.0099988226571584796, 0.0099992838644983595, 0.0099997659624349138, 0.010000269602960896, 0.010000795495602503, 0.010001344413112824, 0.010001917197851193, 0.010002514768941859, 0.010003138130319448, 0.010003788379786079, 0.01000446671922461, 0.010005174466136402, 0.010005913066700135, 0.010006684110581043, 0.010007489347760107, 0.010008330707699679, 0.010009210321219235, 0.01001013054552286, 0.010011093992902889, 0.01001210356374403, 0.010013162484573578, 0.010014274352051907, 0.010015443183979207, 0.010016673478618145, 0.010017970283908686, 0.010019339278495153, 0.010020786866913923, 0.010022320291827945, 0.010023947766871828, 0.010025678634530178, 0.010027523554566806, 0.010029494729926348, 0.01003160617884217, 0.01003387406423859, 0.010036317094595137, 0.010038957014500265, 0.010041819208513729, 0.010044933449178738, 0.010048334829782568, 0.010052064935771444, 0.010056173327053986, 0.010060719428940773, 0.010065774965384817, 0.010071427119367911, 0.010077782679160655, 0.010084973537343514, 0.010093164070226078, 0.010102561168158926, 0.010113428060726098, 0.010126103666477124, 0.010141030135000027, 0.010158792787496578, 0.010180179250826035, 0.010206269063867849, 0.010238573055722055, 0.01027925667317039, 0.010331510194551039, 0.010400187051110369, 0.010492956233600567, 0.010622499468702284, 0.010810984930700044, 0.011099941632295642, 0.011574376820770527, 0.012429881658625519, 0.014194329455004179, 0.018642973288897576, 0.033259400302560659, 0.061157080201015179, 0.03260446311394892, 0.018654759463858195, 0.014319161781330447, 0.012565114211333215, 0.011701352148638929, 0.011216262574500549, 0.010917693103010681, 0.010721210084680657, 0.010585179586269679, 0.010487195091773663, 0.010414343607730211, 0.010358763129627354, 0.010315446576454656, 0.010281083195138766, 0.010253413346750046, 0.010230852417862635, 0.010212262883263167, 0.010196811422728528, 0.010183876681132489, 0.010172988162818303, 0.010163784815969436, 0.010155986387919728, 0.010149373254272707, 0.010143771988127822, 0.010139044892429167, 0.010135082317856432, 0.010131796972432517, 0.010129119679725389, 0.010126996209497521, 0.010125384918027116, 0.010124255013883822, 0.010123585320670753, 0.010123363448966024, 0.010123474301116837, 0.010123807884501023, 0.010124367299020672, 0.010125157775484632, 0.010126186774252815, 0.010127464127822436, 0.010129002232109855, 0.010130816292945315, 0.010132924636407234, 0.010135349094201622, 0.010138115478504961, 0.010141254164750368, 0.010144800806034035, 0.010148797209542428, 0.010153292414183428, 0.010158344020185818, 0.010164019836843105, 0.010170399935278558, 0.010177579221179312, 0.01018567068089557, 0.010194809507513699, 0.010205158387985235, 0.010216914337856276, 0.010230317621391708, 0.010245663514765045, 0.010263317994325123, 0.010283738918000492, 0.010307505008841549, 0.010335356100412939, 0.010368249927532552, 0.010407443701498325, 0.010454613617836296, 0.010512033821828677, 0.010582851091236758, 0.010671518300513202, 0.010784500383975347, 0.01093146644706686, 0.011127388759380796, 0.011396423453093789, 0.011779510827717478, 0.012350318905548887, 0.01325156607072721, 0.014786362258651407, 0.017675313961834076, 0.023851915008990816, 0.03848420188785992, 0.06153339751834036, 0.049421649966384901, 0.028800754485607538, 0.019709585779999827, 0.015720185043974148, 0.013722171363708397, 0.012601148725754477, 0.011915480089460639, 0.011467646896866844, 0.011159860394953544, 0.010939584096882459, 0.010776670788447242, 0.010652864565579777, 0.01055660624196985, 0.010480297339907555, 0.010418781114563454, 0.01036846054713764, 0.010326766025575107, 0.010291823101038928, 0.010262238924876644, 0.010236961355219343, 0.01021518383010055, 0.010196279796626516, 0.010179756662441954, 0.010165222906893987, 0.010152364228037098, 0.01014092599899713, 0.0101307001981015, 0.010121515556268888, 0.010113230048312305, 0.010105725112513821, 0.010098901158795259, 0.010092674047655658, 0.010086972307524254, 0.010081734918872178, 0.010076909537014846, 0.010072451057172967, 0.01006832044855091, 0.010064483801351016, 0.010060911543450703, 0.010057577793110527, 0.010054459821394265, 0.010051537603571744, 0.010048793443076295, 0.010046211654921686, 0.010043778298081694, 0.010041480948373888, 0.010039308504997192, 0.010037251025148266, 0.010035299582159303, 0.010033446143414386, 0.010031683464958627, 0.010030005000244927, 0.010028404820894676, 0.010026877547700923, 0.010025418290390723, 0.010024022594900778, 0.010022686397116013, 0.010021405982183247, 0.010020177948646857, 0.010018999176765495, 0.01001786680046382, 0.010016778182451388, 0.010015730892107945, 0.010014722685790203, 0.010013751489263124, 0.010012815381998634, 0.010011912583119537, 0.010011041438795464, 0.010010200410922907, 0.010009388066942874, 0.010008603070668318, 0.010007844174009213, 0.010007110209497232, 0.010006400083523584, 0.010005712770214196, 0.010005047305875064, 0.010004402783948768, 0.01000377835042972, 0.010003173199691628, 0.010002586570686214, 0.010002017743476303, 0.01000041142533277, 0.0099989427381451234, 0.0099975972932151505, 0.0099963625110270384, 0.009995227264412555, 0.0099941816000957504, 0.009993216520343207, 0.0099923238110993448, 0.0099914959063623476, 0.0099907257810292437, 0.0099900068662674354, 0.0099893329828346349, 0.0099886982887954397, 0.009988097238861569, 0.0099875245531778033, 0.0099869751938350751, 0.0099864443477492883, 0.009985927414826342, 0.0099854200005592732, 0.0099849179123879788, 0.0099844171593082773, 0.0099839139543550521, 0.0099834047197142756, 0.0099828860943495142, 0.0099823549441715211, 0.0099818083749465096, 0.0099812437483458687, 0.0099806587018092877, 0.0099800511732542913, 0.0099794194321614002, 0.0099787621192593424, 0.0099780782980234545, 0.0099773675226261221, 0.009976629929062359, 0.0099758663592610358, 0.0099750785326317253, 0.0099742692865747613, 0.0099734429184556387, 0.0099726056788644619, 0.0099717664938487292, 0.0099709380396149749, 0.0099701383702790816, 0.0099693934324020499, 0.0099687410368813761, 0.0099682372940842322, 0.0099679673486338313, 0.0099680639037987018, 0.0099687404837316956, 0.0099703540433303227, 0.0099735297085761978, 0.0099794272423785052, 0.0099903623455579686, 0.010011429409260763, 0.010055443897658023, 0.010161736735088885, 0.010498335421102787, 0.01250617294207892, 0.095890703256833382, 0.012869480845283408, 0.010834597325539541, 0.010404836420729971, 0.010241784400119627, 0.010161142325780232, 0.010114695132076652, 0.010085173481856812, 0.010065085443313086, 0.010050728012159772, 0.010040088686309198, 0.010031991684280612, 0.010025709773992329, 0.010020771913628938, 0.010016861122213613, 0.010013757101691154, 0.010011302441342136, 0.010009381897641518, 0.010007909245060953, 0.010006818677683481, 0.010006059037006283, 0.010005589846070152, 0.010005378527935571, 0.010005398418640439, 0.010005627324198749, 0.01000604645716964, 0.010006639642603522, 0.010007392718181856, 0.010008293076394659, 0.010009329312019241, 0.010010490948658624, 0.01001176822535162, 0.010013151929348787, 0.010014633264757117, 0.010016203749348725, 0.010017855133712214, 0.010019579338308262, 0.010021368405015085, 0.010023214460515415, 0.010025109689453306, 0.010027046315726613, 0.010029016590614523, 0.010031012786695465, 0.010033027196707388, 0.010035052136653833, 0.010037079952576194, 0.010039103030502573, 0.010041113809151913, 0.010043104795025485, 0.010045068579556497, 0.010046997858018504, 0.010048885449914721, 0.010050724320585942, 0.010052507603785189, 0.01005422862497525, 0.010055880925110004, 0.010057458284663931, 0.010058954747677297, 0.010060364645587093, 0.010061682620616989, 0.010062903648503927, 0.010064023060343666, 0.010065036563345505, 0.010065940260294413, 0.010066730667529993, 0.010067404731264535, 0.010067959842076927, 0.010068393847436952, 0.010068705062132331, 0.010068892276492169, 0.010068954762322502, 0.010068913101480871, 0.010068788237642864, 0.010068580526489889, 0.010068290559563133, 0.010067919162380161, 0.010067467391815363, 0.010066936532760687, 0.010066328094088245, 0.010065643803940235, 0.010064885604375632, 0.010064055645407315, 0.010063156278466084, 0.010062190049331513, 0.010061159690572162, 0.010060068113539695, 0.010058918399964025, 0.01005771379319704, 0.010056457689154657, 0.010055153627006737, 0.01005380527966516, 0.010052416444119984, 0.010050991031673251, 0.010049533058119335, 0.010048046633919136, 0.010046535954414465, 0.01004500529012727, 0.010043458977186098, 0.010041901407920484, 0.010040337021661599, 0.01003877029578519, 0.01003720573703026, 0.01003564787312488, 0.010034101244747266, 0.010032570397848833, 0.010031059876362505, 0.010029574215317538, 0.010028117934380203, 0.010026695531836697, 0.010025311479033093, 0.010023970215284953, 0.010022676143267295, 0.010021433624893862, 0.010020246977692862, 0.010019120471684802, 0.010018058326766352, 0.01001706471060247, 0.010016143737027449, 0.010015299464953617, 0.010014535897784265, 0.010013856983325058, 0.010013266614185128, 0.010012768628655534, 0.010012366812048253, 0.010012064898473522, 0.010011866573026081, 0.0100117754743428, 0.010011795197483055, 0.01001192929707009, 0.010012181290615763, 0.010012554661930391, 0.010013052864495855, 0.010013679324650446, 0.010014437444398547, 0.010015330603616103, 0.010016362161372637, 0.010017535456031275, 0.010018853803718895, 0.010020320494677904, 0.010021938786918443, 0.010023711896483774, 0.010025642983522098, 0.010027735133225208, 0.010029991330547862, 0.010032414427464692, 0.010035007101355345, 0.010037771802939006, 0.010040710692012825, 0.010043825559095308, 0.01004711773094758, 0.010050587957860921, 0.010054236280578738, 0.010058061874793358, 0.010062062871354228, 0.010066236150683926, 0.010070577110463989, 0.010075079406472903, 0.010079734667581481, 0.010084532187385559, 0.010089458596822254, 0.010094497524402623, 0.010099629253404964, 0.010104830388484231, 0.010110073547590517, 0.010115327098729386, 0.010120554964740184, 0.010125716522648067, 0.010130766626907067, 0.01013565578757592, 0.010140330534669209, 0.01014473399810226, 0.010148806728312049, 0.01015248777538514, 0.010155716034117451, 0.010158431848859043, 0.010160578855567108, 0.010162106019873694, 0.010162969810231723, 0.010163136425759936, 0.010162583980970594, 0.010161304535984173, 0.010159305852910798, 0.010156612758343937, 0.010153267999403115, 0.010149332496849432, 0.010144884923045074, 0.010140020563689966, 0.010134849458377533, 0.010129493853545215, 0.010124085039573048, 0.010118759678838962, 0.010113655761028843, 0.010108908344025285, 0.010104645252064871, 0.010100982907099506, 0.010098022464652062, 0.010095846412695883, 0.0100945157723683, 0.010094068013997634], [0.01020733123932536, 0.010207275490067077, 0.010207108378309107, 0.010206830311654124, 0.010206441967950196, 0.010205944293068344, 0.010205338497815696, 0.010204626054007924, 0.010203808689731649, 0.010202888383833816, 0.010201867359680154, 0.010200748078231209, 0.010199533230488989, 0.010198225729372064, 0.010196828701080999, 0.010195345476020126, 0.010193779579344701, 0.010192134721205112, 0.01019041478676316, 0.010188623826056536, 0.010186766043790573, 0.010184845789137005, 0.010182867545622211, 0.010180835921188054, 0.01017875563851081, 0.010176631525665687, 0.01017446850722669, 0.010172271595895501, 0.010170045884756668, 0.010167796540262305, 0.010165528796056813, 0.010163247947760813, 0.010160959348845875, 0.010158668407746511, 0.010156380586374901, 0.010154101400227801, 0.010151836420305822, 0.010149591277102861, 0.010147371666971163, 0.010145183361227718, 0.01014303221844213, 0.010140924200440606, 0.010138865392679225, 0.010136862029789084, 0.010134920527285365, 0.010133047520672634, 0.01013124991348552, 0.010129534936196402, 0.010127910218427433, 0.010126383877557866, 0.010124964627668164, 0.010123661913874591, 0.010122486078571968, 0.010121448568041237, 0.010120562190463521, 0.010119841439854038, 0.010119302905125346, 0.010118965789891674, 0.010118852577426578, 0.010118989887387207, 0.010119409587988508, 0.010120150251423257, 0.010121259074730559, 0.010122794437941998, 0.010124829343732605, 0.010127456089710067, 0.010130792684388126, 0.010134991760411495, 0.010140253111871056, 0.010146841566230887, 0.010155112829777739, 0.010165551449573505, 0.010178827520596049, 0.010195882964470814, 0.010218065463830204, 0.010247341011137976, 0.01028663952284951, 0.010340432182523179, 0.010415725272998083, 0.010523829338815733, 0.010683629366150145, 0.010927890461978602, 0.011316005062571256, 0.011961136920886078, 0.013091259930880299, 0.015193307114776382, 0.019359062375388637, 0.028016474727025641, 0.045340570402901258, 0.070745746981767096, 0.086162922081996482, 0.084576610482635872, 0.08005140387515973, 0.079749686328354469, 0.083747623723999257, 0.086996651164020042, 0.079047180577688794, 0.058805739104671642, 0.039572521214362423, 0.027413053937674004, 0.020609030692427817, 0.016802281578953027, 0.014587940201410087, 0.013238210510817836, 0.012378045002892137, 0.011807753051797629, 0.01141643644523335, 0.011139856855735993, 0.010939319960216676, 0.010790680744919482, 0.010678390285615087, 0.01059215010849981, 0.010524966299969771, 0.010471981761875733, 0.010429755265415846, 0.010395804762149715, 0.010368311276659905, 0.010345922824665732, 0.010327622065511691, 0.010312635421924043, 0.010300369707118591, 0.010290367333611473, 0.010282274294321244, 0.010275817074344365, 0.010270785918313508, 0.010267022708969748, 0.010264412268364888, 0.010262876273497694, 0.010262369246175901, 0.010262568197143353, 0.010263168471961168, 0.010264180458232207, 0.010265621882392094, 0.010267518457599583, 0.010269904847992756, 0.010272826013257429, 0.010276339026418726, 0.010280515496848346, 0.010285444784766784, 0.01029123827067248, 0.010298035054949875, 0.010306009627956265, 0.010315382298945221, 0.010326433552037523, 0.010339524090805522, 0.010355123280015397, 0.010373850240332935, 0.010396534446117222, 0.010424307153123001, 0.010458742959865401, 0.010502085543643049, 0.010557619979615972, 0.010630311283015358, 0.010727950734949556, 0.010863328361540369, 0.011058627791431453, 0.011355058362462075, 0.011836198665741624, 0.012692395545220624, 0.014431618343909229, 0.018744461317478013, 0.032834159730262484, 0.063204531812213832, 0.033675753650004733, 0.018719568861284733, 0.01426786559308209, 0.012518295343841527, 0.011674255056377347, 0.011207774324010477, 0.010924417373083495, 0.010740000763699584, 0.010613508587213294, 0.010523091958739095, 0.010456273072662911, 0.010405517289903885, 0.010366062411281326, 0.010334781848945759, 0.010309555737966394, 0.010288906601895057, 0.010271779792808166, 0.010257406590153463, 0.010245216261784026, 0.010234778076641256, 0.010225762168375197, 0.0102179125673732, 0.010211028267578331, 0.010204949708056082, 0.010199548971688002, 0.010194722578868488, 0.010190386120871977, 0.01018647021592318, 0.010182917428695251, 0.010179679900008499, 0.010176717505906405, 0.010173996415417512, 0.010171487951476281, 0.010169167684444057, 0.010167014705598942, 0.010165011040974666, 0.010163141175464588, 0.010161391664161943, 0.010159750813172837, 0.010158208416100484, 0.010156755535404632, 0.010155384320135623, 0.010154087853309743, 0.010152860023560209, 0.010151695416765272, 0.010150589224190789, 0.010149537164344637, 0.010148535416262965, 0.010147580562365584, 0.010146669539351498, 0.01014579959587469, 0.010144968255957393, 0.010144173287274993, 0.010143412673590271, 0.010142684590733029, 0.01014198738561788, 0.010141319557872869, 0.010140679743718161, 0.010140066701788625, 0.010139479300640507, 0.010138916507720405, 0.01013837737960714, 0.010137861053364176, 0.010137366738863238, 0.01013689371195883, 0.010136441308410255, 0.010136008918461269, 0.010135595981999732, 0.01013520198422985, 0.010134826451797894, 0.010134468949320644, 0.010134129076271391, 0.010133806464184533, 0.01013350077414445, 0.010133211694528497, 0.010132938938977685, 0.010132682244571834, 0.010132441370188622, 0.010132216095028573, 0.010132006217290065, 0.010131811552980315, 0.010131631934850005, 0.010131467211440688, 0.010131317246235332, 0.010131181916903724, 0.010131061114635208, 0.010130954743552537, 0.010130862720200973, 0.010130784973108185, 0.010130721442410551, 0.010130672079542567, 0.010130636846986495, 0.010130615718079921, 0.010130608676879548, 0.010130615718079923, 0.010130636846986497, 0.010130672079542567, 0.010130721442410553, 0.010130784973108192, 0.01013086272020098, 0.010130954743552543, 0.010131061114635211, 0.010131181916903716, 0.010131317246235333, 0.01013146721144069, 0.010131631934850017, 0.010131811552980317, 0.010132006217290067, 0.010132216095028571, 0.01013244137018862, 0.010132682244571839, 0.01013293893897769, 0.010133211694528492, 0.01013350077414445, 0.01013380646418454, 0.010134129076271398, 0.010134468949320645, 0.010134826451797887, 0.010135201984229845, 0.010135595981999734, 0.010136008918461266, 0.010136441308410253, 0.010136893711958835, 0.010137366738863233, 0.010137861053364177, 0.010138377379607138, 0.010138916507720403, 0.010139479300640504, 0.010140066701788632, 0.010140679743718165, 0.01014131955787287, 0.010141987385617883, 0.010142684590733029, 0.01014341267359027, 0.010144173287274993, 0.010144968255957398, 0.010145799595874687, 0.0101466695393515, 0.010147580562365591, 0.01014853541626297, 0.010149537164344637, 0.010150589224190789, 0.010151695416765272, 0.010152860023560204, 0.01015408785330974, 0.010155384320135626, 0.01015675553540463, 0.010158208416100486, 0.010159750813172833, 0.01016139166416195, 0.010163141175464584, 0.010165011040974664, 0.010167014705598946, 0.010169167684444062, 0.010171487951476283, 0.010173996415417514, 0.010176717505906404, 0.010179679900008492, 0.010182917428695253, 0.010186470215923182, 0.010190386120871975, 0.010194722578868489, 0.010199548971688002, 0.010204949708056079, 0.01021102826757833, 0.010217912567373203, 0.010225762168375195, 0.010234778076641258, 0.01024521626178402, 0.010257406590153458, 0.010271779792808152, 0.010288906601895039, 0.010309555737966389, 0.010334781848945736, 0.010366062411281331, 0.010405517289903857, 0.010456273072662881, 0.010523091958739022, 0.010613508587213234, 0.01074000076369964, 0.010924417373083374, 0.011207774324010454, 0.01167425505637705, 0.012518295343840575, 0.014267865593081557, 0.018719568861276452, 0.03367575365000082, 0.06320453181221343, 0.032834159730294542, 0.018744461317491391, 0.014431618343915684, 0.012692395545221009, 0.011836198665742859, 0.011355058362462291, 0.01105862779143163, 0.010863328361540404, 0.010727950734949719, 0.010630311283015316, 0.010557619979615998, 0.010502085543643059, 0.01045874295986537, 0.010424307153122996, 0.010396534446117196, 0.010373850240332928, 0.010355123280015383, 0.010339524090805527, 0.010326433552037518, 0.010315382298945209, 0.010306009627956275, 0.01029803505494987, 0.010291238270672484, 0.010285444784766779, 0.010280515496848346, 0.010276339026418731, 0.010272826013257425, 0.010269904847992756, 0.010267518457599586, 0.010265621882392093, 0.010264180458232205, 0.010263168471961166, 0.01026256819714335, 0.01026236924617591, 0.010262468651487984, 0.010262767730270217, 0.010263269086072842, 0.010263977108640946, 0.010264898051266215, 0.010266040142376216, 0.010267413734843656, 0.010269031497772059, 0.01027090865702363, 0.010273063292583543, 0.010275516703109193, 0.010278293850834353, 0.010281423903570347, 0.010284940895117731, 0.010288884531307262, 0.010293301176585317, 0.010298245066177379, 0.010303779802281726, 0.01030998021069825, 0.010316934658539693, 0.010324747966721632, 0.01033354509644451, 0.010343475852243062, 0.010354720933400381, 0.010367499792703088, 0.010382080945190924, 0.010398795638599294, 0.010418056197322237, 0.010440380956694568, 0.010466428635592547, 0.010497046456943817, 0.010533338669352006, 0.010576765970218449, 0.010629292811966088, 0.010693610810430373, 0.010773486594304826, 0.010874319780094769, 0.011004068959604159, 0.011174849810527347, 0.011405821762239848, 0.011728689099279701, 0.012198873701368344, 0.012920010880375274, 0.014102854621136562, 0.016223405678392467, 0.020500687024913925, 0.030399676316776453, 0.052838122884137535, 0.062400461209553761, 0.037272773397366336, 0.023150609441731529, 0.017315802769301662, 0.01459447555133451, 0.013148772066120718, 0.012299785425335257, 0.011762202562180029, 0.011401584368632795, 0.011148474695091989, 0.01096424891676985, 0.010826109647043907, 0.010719926346982168, 0.010636575623281616, 0.010569960185863288, 0.010515883060526315, 0.010471380639834084, 0.01043431308538029, 0.010403104753899276, 0.010376575088927642, 0.010353825717513677, 0.01033416340593641, 0.010317046443600045, 0.010302046664263518, 0.010288822108330271, 0.010277097054659776, 0.010266647238705729, 0.010257288774594694, 0.010248869758463881, 0.010241263837108444, 0.010234365233889311, 0.010228084866830927, 0.010222347293500968, 0.010217088287612251, 0.010212252902526343, 0.010207793913111917, 0.010203670553871188, 0.010199847490735006, 0.010196293978411096, 0.010192983166025606, 0.010189891522001747, 0.010186998355364896, 0.010184285415453843, 0.010181736555716353, 0.010179337450141979, 0.010177075353133076, 0.010174938895383021, 0.010172917909729948, 0.010171003282066115, 0.010169186823272799, 0.010167461158864634, 0.010165819633603721, 0.010164256228811312, 0.010162765490485162, 0.01016134246664175, 0.01015998265255774, 0.010158681942795513, 0.010157436589071395, 0.010156243163169341, 0.010155098524223513, 0.010153999789792976, 0.010152944310236172, 0.010151929645963519, 0.010150953547206059, 0.010150013935988409, 0.010149108890037114, 0.010148236628391758, 0.010147395498517207, 0.010146583964741603, 0.010145800597867793, 0.010145044065824815, 0.010144313125243212, 0.010143606613852165, 0.010142923443608939, 0.01014226259448201, 0.010141623108818438, 0.010141004086234553, 0.01014040467897552, 0.010139824087696321, 0.010139261557621388, 0.010137675384046221, 0.010136228190095849, 0.010134905041777964, 0.01013369294296227, 0.010132580446538218, 0.010131557352263475, 0.010130614470739293, 0.010129743438270365, 0.01012893657120476, 0.010128186751144972, 0.010127487334477924, 0.010126832081198417, 0.010126215099143441, 0.010125630800617774, 0.010125073869047947, 0.010124539233806002, 0.010124022051735009, 0.010123517694214799, 0.010123021738850243, 0.01012252996506263, 0.010122038353031304, 0.010121543085578616, 0.010121040552727013, 0.01012052735879298, 0.010120000332029123, 0.010119456536996689, 0.010118893290061824, 0.010118308178683319, 0.010117699085527544, 0.010117064218953718, 0.010116402152124629, 0.010115711874014043, 0.010114992857051492, 0.0101142451483006, 0.010113469494270808, 0.010112667514293922, 0.010111841944794671, 0.010110996988299755, 0.010110138819278441, 0.010109276328399287, 0.01010842223548985, 0.010107594783855605, 0.010106820371677903, 0.010106137732189586, 0.010105604747950298, 0.010105309894847706, 0.010105392138999832, 0.010106076968629165, 0.010107744887357627, 0.010111069470650944, 0.01011731645818563, 0.010129053516425728, 0.010152047055319326, 0.010201224846237899, 0.010324451639683353, 0.01074295717437267, 0.013786148995357801, 0.049697976928417424, 0.012317664262660464, 0.010860721081569168, 0.0105057079716004, 0.010363027933870578, 0.010290191653082108, 0.010247386091948935, 0.010219796000115217, 0.01020082911014202, 0.010187167278938978, 0.010176982194464165, 0.010169194092020363, 0.010163129278670057, 0.010158348236382186, 0.010154553398130874, 0.010151536881045021, 0.010149149472287835, 0.010147281492508951, 0.010145850583896573, 0.010144793685503658, 0.010144061622757191, 0.010143615375664479, 0.010143423452335416, 0.010143460006803126, 0.010143703468292119, 0.010144135528451979, 0.010144740383379449, 0.010145504159815915, 0.010146414476395617, 0.010147460105252701, 0.010148630709145776, 0.010149916636084508, 0.010151308758237075, 0.010152798345308984, 0.010154376965039853, 0.010156036405252965, 0.010157768613207257, 0.010159565648977248, 0.010161419650317435, 0.010163322807018453, 0.010165267343181288, 0.010167245506155094, 0.010169249561129799, 0.010171271790563256, 0.010173304497768185, 0.01017534001409643, 0.010177370709244528, 0.010179389004270054, 0.010181387386959326, 0.010183358429224186, 0.010185294806233832, 0.010187189317008282, 0.010189034906214438, 0.010190824686915683, 0.010192551964033092, 0.01019421025828079, 0.010195793330340904, 0.010197295205046416, 0.010198710195342483, 0.010200032925799581, 0.010201258355456305, 0.010202381799773876, 0.010203398951492373, 0.01020430590018658, 0.010205099150330434, 0.010205775637691901, 0.010206332743894653, 0.010206768309000485, 0.010207080641984626, 0.010207268528997055, 0.01020733123932536, 0.010207289428807314, 0.010207164116368095, 0.010206955658972014, 0.010206664650294515, 0.010206291918832962, 0.010205838525278944, 0.010205305759168722, 0.010204695134833346, 0.010204008386674015, 0.010203247463792336, 0.010202414524009024, 0.010201511927307836, 0.010200542228744714, 0.010199508170864681, 0.010198412675671375, 0.010197258836196219, 0.010196049907715048, 0.010194789298662018, 0.010193480561290321, 0.010192127382130141, 0.010190733572293855, 0.010189303057677979, 0.010187839869110758, 0.010186348132492726, 0.010184832058976419, 0.010183295935229784, 0.010181744113825551, 0.010180181003796949, 0.010178611061397858, 0.010177038781103057, 0.010175468686881618, 0.010173905323774182, 0.010172353249801874, 0.010170817028232592, 0.010169301220227314, 0.010167810377886645, 0.01016634903771581, 0.010164921714523292, 0.010163532895766367, 0.010162187036354636, 0.010160888553920243, 0.010159641824561699, 0.010158451179066042, 0.010157320899612167, 0.010156255216956239, 0.010155258308097886, 0.01015433429442386, 0.010153487240323467, 0.010152721152267319, 0.010152039978337954, 0.010151447608197216, 0.010150947873470883, 0.01015054454852579, 0.010150241351608278, 0.01015004194630458, 0.010149949943274641, 0.010149968902198447, 0.010150102333859819, 0.010150353702275201, 0.010150726426753399, 0.010151223883747194, 0.010151849408327047, 0.010152606295070848, 0.010153497798120944, 0.010154527130109186, 0.010155697459592328, 0.010157011906571782, 0.010158473535594424, 0.010160085345842115, 0.010161850257518881, 0.010163771093733833, 0.010165850556958161, 0.010168091199005231, 0.010170495383347786, 0.010173065238449417, 0.010175802600654016, 0.010178708945055896, 0.010181785302675005, 0.010185032162200281, 0.010188449354558317, 0.010192035918635158, 0.010195789946653782, 0.010199708408018864, 0.010203786950918519, 0.010208019681658371, 0.010212398922634165, 0.010216914951063315, 0.010221555722123946, 0.010226306582012857, 0.010231149978633339, 0.010236065180136242, 0.010241028014305549, 0.010246010644698053, 0.010250981402362757, 0.010255904694662109, 0.010260741014922616, 0.01026544707802265, 0.010269976107212515, 0.010274278296060469, 0.01027830146606074, 0.010281991934817625, 0.010285295601646744, 0.010288159246909515, 0.010290532028648719, 0.010292367145630383, 0.010293623620520729, 0.010294268141708033, 0.010294276888502782, 0.010293637253504833, 0.010292349369172839, 0.010290427344227158, 0.010287900120269021, 0.010284811870204798, 0.010281221877452208, 0.010277203857587427, 0.010272844710646042, 0.010268242720893574, 0.010263505249485565, 0.01025874599201948, 0.010254081895732958, 0.010249629848626785, 0.010245503264200739, 0.010241808690458383, 0.010238642570546058, 0.01023608827544446, 0.010234213517399515, 0.010233068237264454, 0.01023268304061422], [0.010337247426388666, 0.010337191518945566, 0.010337023932913145, 0.01033674507673272, 0.010336355629645634, 0.010335856539464167, 0.010335249019475509, 0.010334534544502652, 0.010333714846152968, 0.010332791907291757, 0.010331767955783035, 0.010330645457546288, 0.010329427108982638, 0.010328115828828267, 0.010326714749497635, 0.01032522720798248, 0.010323656736376126, 0.010322007052095079, 0.010320282047873124, 0.010318485781604428, 0.010316622466114955, 0.010314696458942068, 0.010312712252205229, 0.010310674462650719, 0.010308587821956204, 0.010306457167382573, 0.010304287432862666, 0.010302083640620392, 0.010299850893417152, 0.010297594367528248, 0.010295319306559003, 0.010293031016218642, 0.010290734860182249, 0.010288436257185179, 0.010286140679513023, 0.010283853653073256, 0.010281580759264532, 0.010279327638895792, 0.010277099998453634, 0.010274903619074061, 0.01027274436864677, 0.010270628217570519, 0.010268561258791966, 0.010266549732903122, 0.010264600059253401, 0.010262718874260736, 0.010260913078397518, 0.010259189893698369, 0.010257556934113544, 0.010256022291646287, 0.010254594642008532, 0.010253283374566989, 0.010252098752711056, 0.010251052112566852, 0.010250156110359713, 0.010249425031905011, 0.010248875181980263, 0.010248525377121748, 0.010248397573294618, 0.010248517670766384, 0.010248916553616068, 0.010249631442459235, 0.010250707668858225, 0.010252201022545905, 0.010254180884104944, 0.010256734445416169, 0.010259972452414168, 0.010264037102039509, 0.010269113023635782, 0.010275442732279885, 0.01028334865244398, 0.010293264932744708, 0.010305784073498409, 0.010321726328929351, 0.01034224473426556, 0.010368986894205727, 0.010404349003808957, 0.010451882902870772, 0.010516962713944741, 0.010607902076168119, 0.010737872225329608, 0.010928276821362288, 0.011214832476298831, 0.011658748652353477, 0.012367517135460058, 0.013533187164317721, 0.01549858308145277, 0.018849471060118715, 0.024447221866906465, 0.033060595737072485, 0.044115620176054707, 0.054582149437131432, 0.060761249028295494, 0.061002780049790893, 0.055608213261651024, 0.04640944710067154, 0.036454377525402412, 0.028178405924937099, 0.022283918600365712, 0.01838415709122939, 0.015862013185502868, 0.014222959448850967, 0.013138683880453439, 0.012404819761659545, 0.011896071768866229, 0.011535108366528306, 0.011273409664425114, 0.011079903984154512, 0.010934258483636749, 0.010822880151328533, 0.010736493901113479, 0.010668648054639922, 0.010614773849790642, 0.010571581970552175, 0.01053666798509416, 0.010508249724312253, 0.010484989518253125, 0.010465871968793694, 0.010450118677911367, 0.010437127959964444, 0.010426431702438481, 0.010417664170731122, 0.010410539253058694, 0.010404833757730627, 0.010400375118991704, 0.010397032371423382, 0.010394709600045998, 0.010393341317514685, 0.010392889396426335, 0.01039306887396131, 0.010393610206578287, 0.010394522191304836, 0.010395819818836057, 0.010397524787395725, 0.010399666264834238, 0.010402281946386972, 0.010405419476531758, 0.010409138331375715, 0.010413512296363007, 0.010418632727858368, 0.010424612863951008, 0.010431593561427472, 0.010439751000850764, 0.01044930714988071, 0.010460544155273499, 0.010473824428326688, 0.010489619137470568, 0.010508549372832713, 0.010531446849673236, 0.010559445510223274, 0.01059412339426646, 0.01063772896086247, 0.010693554583795084, 0.010766577595199583, 0.010864612257693609, 0.011000495866827222, 0.01119651915228316, 0.011494160424218598, 0.01197775981538364, 0.012840175256178452, 0.014599575236242637, 0.019002386886411003, 0.033685712860623537, 0.065197478639967194, 0.033343014919227192, 0.018597021095767639, 0.014268461235962491, 0.012570584837033901, 0.011751838404984354, 0.011299494806498054, 0.011024858758039421, 0.010846231742355524, 0.010723804124285663, 0.010636368181229381, 0.010571812455225284, 0.010522824252901835, 0.010484782473498945, 0.010454653912027019, 0.010430382646214282, 0.010410536277185479, 0.010394092745333797, 0.010380307412365952, 0.010368627689309528, 0.010358636749381447, 0.010350015545364426, 0.010342516641735416, 0.010335945847235182, 0.010330149103567389, 0.010325002981781777, 0.010320407696819234, 0.010316281906909232, 0.010312558795988512, 0.010309183090434746, 0.010306108764375311, 0.010303297258124957, 0.010300716082969787, 0.010298337719647093, 0.010296138742099491, 0.010294099115478721, 0.010292201629996483, 0.010290431441470035, 0.01028877569625207, 0.010287223223339697, 0.010285764280298825, 0.010284390342552196, 0.010283093927805088, 0.010281868449093361, 0.01028070809126456, 0.010279607706735087, 0.01027856272717673, 0.010277569088423614, 0.010276623166397377, 0.010275721722251295, 0.010274861855257394, 0.010274040962220362, 0.010273256702412435, 0.01027250696719376, 0.010271789853622147, 0.010271103641470047, 0.010270446773159752, 0.010269817836205668, 0.010269215547815918, 0.010268638741358917, 0.010268086354444705, 0.010267557418407958, 0.010267051049010364, 0.010266566438206693, 0.010266102846840227, 0.010265659598152618, 0.010265236072008395, 0.010264831699748286, 0.01026444595959689, 0.01026407837255966, 0.010263728498753373, 0.01026339593412068, 0.010263080307486057, 0.010262781277915708, 0.01026249853234866, 0.010262231783470216, 0.010261980767802693, 0.010261745243991078, 0.01026152499126428, 0.010261319808054758, 0.010261129510761422, 0.010260953932642525, 0.010260792922826931, 0.010260646345433352, 0.010260514078788795, 0.010260396014738072, 0.010260292058037763, 0.010260202125828458, 0.010260126147180353, 0.010260064062707769, 0.010260015824248833, 0.01025998139460744, 0.010259960747355011, 0.010259953866690166, 0.010259960747355015, 0.010259981394607442, 0.010260015824248831, 0.010260064062707771, 0.01026012614718036, 0.01026020212582846, 0.010260292058037771, 0.010260396014738073, 0.010260514078788792, 0.010260646345433354, 0.010260792922826929, 0.010260953932642536, 0.010261129510761422, 0.01026131980805476, 0.010261524991264273, 0.010261745243991078, 0.010261980767802699, 0.010262231783470223, 0.010262498532348655, 0.010262781277915708, 0.010263080307486063, 0.010263395934120687, 0.010263728498753375, 0.010264078372559656, 0.010264445959596889, 0.010264831699748293, 0.010265236072008391, 0.010265659598152618, 0.010266102846840233, 0.010266566438206682, 0.010267051049010364, 0.010267557418407954, 0.010268086354444705, 0.010268638741358907, 0.010269215547815925, 0.010269817836205673, 0.010270446773159751, 0.010271103641470051, 0.010271789853622149, 0.010272506967193755, 0.010273256702412437, 0.010274040962220368, 0.010274861855257389, 0.010275721722251292, 0.010276623166397381, 0.010277569088423618, 0.01027856272717673, 0.010279607706735085, 0.010280708091264558, 0.010281868449093358, 0.010283093927805083, 0.010284390342552198, 0.010285764280298825, 0.010287223223339706, 0.010288775696252065, 0.010290431441470044, 0.010292201629996481, 0.010294099115478721, 0.010296138742099496, 0.010298337719647097, 0.01030071608296979, 0.010303297258124957, 0.010306108764375316, 0.010309183090434741, 0.010312558795988514, 0.010316281906909228, 0.010320407696819238, 0.010325002981781782, 0.010330149103567389, 0.01033594584723518, 0.010342516641735413, 0.010350015545364435, 0.010358636749381448, 0.010368627689309528, 0.010380307412365944, 0.010394092745333794, 0.01041053627718546, 0.010430382646214265, 0.010454653912027009, 0.010484782473498912, 0.010522824252901835, 0.010571812455225246, 0.010636368181229341, 0.010723804124285564, 0.010846231742355435, 0.011024858758039491, 0.011299494806497837, 0.011751838404984274, 0.012570584837033532, 0.014268461235960988, 0.018597021095766598, 0.033343014919196896, 0.06519747863996736, 0.033685712860670507, 0.019002386886419774, 0.014599575236247532, 0.012840175256181328, 0.011977759815383808, 0.011494160424219343, 0.011196519152283313, 0.011000495866827338, 0.010864612257693631, 0.010766577595199701, 0.010693554583795062, 0.010637728960862493, 0.010594123394266469, 0.010559445510223243, 0.010531446849673238, 0.010508549372832696, 0.010489619137470561, 0.010473824428326679, 0.010460544155273498, 0.010449307149880705, 0.010439751000850758, 0.01043159356142748, 0.010424612863951001, 0.01041863272785837, 0.010413512296363007, 0.010409138331375719, 0.010405419476531759, 0.010402281946386972, 0.010399666264834241, 0.010397524787395727, 0.010395819818836059, 0.010394522191304829, 0.010393610206578283, 0.010393068873961303, 0.010392889396426344, 0.010392979075783739, 0.010393248846120966, 0.010393700916184015, 0.010394339007392601, 0.010395168415309646, 0.010396196098162993, 0.010397430795014359, 0.010398883177107519, 0.010400566037029255, 0.010402494521638356, 0.010404686416333893, 0.010407162490236361, 0.010409946914367019, 0.010413067768092921, 0.010416557653174206, 0.010420454439997926, 0.010424802177405603, 0.010429652206467225, 0.010435064530377375, 0.010441109508412719, 0.010447869963091444, 0.01045544381845967, 0.01046394742689419, 0.010473519796486129, 0.010484328007665546, 0.010496574216309177, 0.010510504796475358, 0.0105264224028271, 0.010544702067991388, 0.010565812953167565, 0.010590348138480877, 0.010619066034878676, 0.010652948897901002, 0.010693287007957403, 0.010741802218572932, 0.010800833368233013, 0.010873621575914195, 0.010964761803963791, 0.011080940940276092, 0.011232189561040232, 0.011434097671654859, 0.011711938311289402, 0.012108811121718108, 0.012702910736518603, 0.013647437421683496, 0.015272977865342253, 0.018384088598124095, 0.025216878867468984, 0.041995080535625277, 0.066859862611413357, 0.048948459223574214, 0.027970081670894497, 0.019364447140917635, 0.015631059157696702, 0.0137609446749524, 0.012709481612665826, 0.012065062573255233, 0.011643522575431284, 0.011353503099112199, 0.011145812827691674, 0.010992165708632521, 0.010875402121148989, 0.010784640623261415, 0.010712719367822587, 0.010654773043775269, 0.010607405207088305, 0.010568188027989044, 0.010535349661752695, 0.010507573069091662, 0.010483863163822221, 0.010463457040069214, 0.010445762047624266, 0.010430312277466113, 0.01041673746677739, 0.010404740437258845, 0.010394080495371716, 0.010384561062131391, 0.010376020345861528, 0.010368324232701591, 0.010361360812876709, 0.010355036126907195, 0.010349270831058665, 0.010343997562132267, 0.010339158839091023, 0.010334705380253672, 0.010330594744725086, 0.01032679022868545, 0.010323259963406951, 0.010319976173998055, 0.010316914567006997, 0.01031405382194501, 0.010311375167085529, 0.010308862023971851, 0.010306499708224207, 0.010304275176699703, 0.010302176812990865, 0.01030019424477218, 0.010298318187713471, 0.010296540311642828, 0.010294853125414451, 0.010293249877558863, 0.010291724470296387, 0.010290271384903193, 0.010288885616753297, 0.01028756261863273, 0.010286298251147094, 0.010285088739228785, 0.010283930633904422, 0.010282820778610067, 0.010281756279448774, 0.010280734478873834, 0.01027975293235628, 0.010278809387657581, 0.010277901766382207, 0.010277028147529324, 0.010276186752801345, 0.01027537593345935, 0.010274594158543402, 0.010273840004299211, 0.01027311214467322, 0.010272409342755535, 0.010271730443065149, 0.010271074364585041, 0.010270440094465889, 0.010269826682326916, 0.01026923323509075, 0.01026865891229684, 0.010268102921844028, 0.010266537669997237, 0.010265112787099068, 0.010263812762118374, 0.010262624161070372, 0.010261535203073813, 0.010260535432342141, 0.010259615462962422, 0.010258766779400935, 0.010257981580037221, 0.010257252654188635, 0.010256573285400162, 0.010255937175482323, 0.01025533838505255, 0.010254771287291966, 0.0102542305323538, 0.01025371102041372, 0.010253207881779323, 0.010252716462809282, 0.010252232316656739, 0.010251751198064448, 0.010251269061616993, 0.010250782063009833, 0.01025028656303687, 0.0102497791341395, 0.010249256569510742, 0.010248715894923089, 0.010248154383664079, 0.010247569575243302, 0.010246959298910379, 0.010246321703542149, 0.010245655296187742, 0.010244958992604804, 0.010244232184636624, 0.010243474831510804, 0.010242687585467872, 0.010241871967164964, 0.010241030614040341, 0.010240167636921114, 0.010239289139406089, 0.010238403985801793, 0.010237524955234091, 0.010236670507687151, 0.010235867541638834, 0.010235155800033967, 0.010234595097443521, 0.010234277540695886, 0.010234348938910598, 0.010235047913747287, 0.010236780997150186, 0.010240275819465247, 0.010246917849222143, 0.010259564266164376, 0.010284771964734004, 0.010340040117386278, 0.010484209481457188, 0.011014511836407876, 0.015988724655799105, 0.027765866605247061, 0.011983002928613052, 0.010900399184974097, 0.01060335276862945, 0.010477673107225482, 0.010411619864463359, 0.010372062112619295, 0.010346226504237268, 0.010328292055784382, 0.010315277729267554, 0.010305519196519133, 0.010298023282120166, 0.010292165083019979, 0.010287534060171589, 0.010283850626164843, 0.010280918470138288, 0.010278596063644814, 0.010276778969308169, 0.010275388489688533, 0.01027436417251423, 0.010273658735970031, 0.010273234555193337, 0.010273061180986007, 0.010273113556204633, 0.010273370713199058, 0.010273814808991838, 0.010274430401543539, 0.010275203900753673, 0.010276123147909511, 0.010277177090810016, 0.010278355531041531, 0.010279648926307837, 0.01028104823524096, 0.010282544795345877, 0.010284130227059766, 0.010285796358604321, 0.010287535167560612, 0.010289338736025755, 0.010291199216908192, 0.010293108809444994, 0.010295059742425431, 0.010297044263910912, 0.010299054636477095, 0.010301083137184724, 0.010303122061625652, 0.010305163731498221, 0.010307200505249123, 0.010309224791381834, 0.01031122906408052, 0.010313205880833879, 0.010315147901770325, 0.010317047910435296, 0.01031889883575518, 0.010320693774941403, 0.010322426017094991, 0.010324089067275628, 0.010325676670801972, 0.010327182837552401, 0.010328601866037235, 0.010329928367016326, 0.010331157286439876, 0.010332283927494537, 0.010333303971544808, 0.010334213497767222, 0.01033500900128622, 0.010335687409633133, 0.010336246097364197, 0.010336682898691472, 0.010336996117998196, 0.01033718453813165, 0.010337247426388666, 0.010337205497242997, 0.01033707982926281, 0.01033687078043722, 0.010336578946146716, 0.01033620515726952, 0.010335750477547754, 0.010335216200230047, 0.010334603844012216, 0.010333915148301601, 0.010333152067834863, 0.010332316766682753, 0.010331411611678871, 0.010330439165312316, 0.010329402178127044, 0.010328303580672705, 0.010327146475054259, 0.010325934126128002, 0.01032466995239415, 0.010323357516635368, 0.010322000516351812, 0.010320602774042632, 0.010319168227383454, 0.010317700919348707, 0.010316204988326038, 0.010314684658268817, 0.010313144228931263, 0.010311588066228145, 0.010310020592759185, 0.010308446278536039, 0.010306869631947043, 0.010305295190992407, 0.010303727514819993, 0.01030217117558889, 0.010300630750685803, 0.010299110815316018, 0.010297615935488334, 0.01029615066141097, 0.010294719521312501, 0.010293327015699689, 0.010291977612061631, 0.010290675740027214, 0.010289425786980682, 0.010288232094137777, 0.01028709895308271, 0.010286030602763821, 0.010285031226943459, 0.010284104952094947, 0.010283255845736751, 0.010282487915190678, 0.010281805106747439, 0.010281211305218451, 0.01028071033384788, 0.010280305954552713, 0.010280001868451561, 0.010279801716633841, 0.010279709081110771, 0.01027972748587642, 0.010279860397991799, 0.010280111228586773, 0.010280483333651891, 0.010280980014466428, 0.010281604517477741, 0.010282360033410102, 0.010283249695338765, 0.010284276575414929, 0.010285443679870171, 0.010286753941863173, 0.010288210211657546, 0.010289815243536423, 0.010291571678767873, 0.01029348202383513, 0.010295548623039325, 0.010297773624471146, 0.010300158938235814, 0.010302706185707519, 0.010305416638491761, 0.010308291145696397, 0.01031133004806567, 0.010314533077531295, 0.01031789924079873, 0.010321426685736528, 0.010325112549597356, 0.010328952788498932, 0.010332941988161917, 0.010337073156671416, 0.010341337501027836, 0.010345724190507105, 0.010350220111375097, 0.010354809619298385, 0.010359474297843401, 0.010364192733712477, 0.010368940321746371, 0.010373689115104282, 0.010378407738246692, 0.01038306138217451, 0.010387611902561881, 0.010392018041663056, 0.010396235793871899, 0.010400218932265712, 0.0104039197091325, 0.010407289737206921, 0.010410281050109592, 0.01041284733046453, 0.010414945282736196, 0.010416536115585472, 0.010417587086309122, 0.010418073048684013, 0.010417977936361634, 0.010417296107911003, 0.010416033477614078, 0.010414208358837919, 0.010411851954536323, 0.010409008442016716, 0.010405734615938212, 0.010402099073544415, 0.010398180948017938, 0.010394068218030007, 0.010389855642478865, 0.01038564238765731, 0.010381529428541354, 0.01037761681582256, 0.010374000905417255, 0.010370771647593244, 0.010368010029011082, 0.01036578575357627, 0.010364155237841302, 0.010363159984586126, 0.01036282538484536], [0.010657405939104995, 0.010657348988763363, 0.010657178276391035, 0.010656894217487752, 0.010656497503030118, 0.010655989097199626, 0.010655370234227119, 0.010654642414378031, 0.010653807399109996, 0.010652867205440694, 0.010651824099569293, 0.010650680589801191, 0.010649439418830639, 0.010648103555440372, 0.010646676185681977, 0.01064516070360455, 0.010643560701602363, 0.010641879960455165, 0.010640122439137714, 0.010638292264476535, 0.010636393720734711, 0.010634431239206071, 0.010632409387903012, 0.010630332861422325, 0.010628206471076186, 0.01062603513537686, 0.01062382387096595, 0.010621577784082672, 0.010619302062668978, 0.010617001969214807, 0.010614682834453788, 0.010612350052027632, 0.010610009074249442, 0.010607665409109889, 0.010605324618688381, 0.010602992319153735, 0.010600674182567979, 0.010598375940741993, 0.010596103391436578, 0.010593862407258584, 0.010591658947671148, 0.01058949907462463, 0.010587388972424231, 0.010585334972587684, 0.010583343584619561, 0.010581421533847274, 0.010579575807741408, 0.010577813712495639, 0.010576142942093031, 0.010574571662665075, 0.010573108615697923, 0.010571763244611197, 0.010570545850501246, 0.0105694677845028, 0.010568541686416702, 0.010567781782165926, 0.010567204256538881, 0.010566827722924945, 0.01056667381885997, 0.010566767965915482, 0.010567140345838749, 0.010567827163409902, 0.010568872292452571, 0.010570329438097296, 0.010572265000629969, 0.010574761901386084, 0.010577924740293586, 0.010581886814872935, 0.010586819768215312, 0.010592946990148105, 0.010600562437250912, 0.010610057369189463, 0.010621958792398628, 0.010636985438837825, 0.010656130354011886, 0.010680784405432698, 0.010712923564405999, 0.010755396875969476, 0.010812375324093832, 0.010890060400995315, 0.010997814547879545, 0.011149976629149731, 0.011368775458001188, 0.011688938364684268, 0.012164684015457864, 0.012879301304165786, 0.013955000879684711, 0.01555291807391331, 0.017836262630545427, 0.020852424591999038, 0.024326065320706067, 0.027518464260876924, 0.029447228457932437, 0.029464025388507592, 0.027678730886839781, 0.024824845816908952, 0.021753052215295537, 0.019029822741605962, 0.016866509419632324, 0.015248002536811198, 0.014071279483256842, 0.013223703452316136, 0.012611955562514347, 0.012166693261109706, 0.011838806918567034, 0.01159418263486396, 0.011409224813186838, 0.011267548803880974, 0.011157680842529532, 0.011071498812080414, 0.011003184161210666, 0.010948516974021338, 0.010904399134722699, 0.010868529023158342, 0.010839177349899613, 0.010815031018313071, 0.010795083173892729, 0.010778554938302671, 0.010764839115462195, 0.010753459303359842, 0.01074403992884501, 0.010736284115262049, 0.010729957233002706, 0.01072487462465695, 0.010720892439333435, 0.010717900820360234, 0.010715818910314444, 0.010714591296242857, 0.010714185635855447, 0.010714349187188502, 0.010714842328641852, 0.010715672600841364, 0.010716852836698139, 0.010718401574714539, 0.010720343669997129, 0.010722711138747312, 0.010725544287535454, 0.010728893199109723, 0.01073281967416392, 0.010737399766774874, 0.010742727105172618, 0.010748917266817114, 0.010756113589337458, 0.010764494965538048, 0.010774286421614659, 0.010785773662532904, 0.01079932337036855, 0.010815412003129798, 0.010834667415032379, 0.01085793026142262, 0.01088634671890255, 0.010921512206474608, 0.01096570089708394, 0.011022244966606391, 0.011096186561726768, 0.011195451773881395, 0.011333084216231496, 0.011531786633422511, 0.011833942992545636, 0.01232613791550099, 0.01320773024637581, 0.015020153819148801, 0.01962154225826461, 0.035368016111477565, 0.067008280504433748, 0.032506305100920618, 0.018490512595146138, 0.014395664704982658, 0.012782424408541371, 0.012001902322633247, 0.011569804416294105, 0.011307174491896659, 0.011136280055940037, 0.011019152350196786, 0.010935528318715517, 0.010873821012767295, 0.010827027980905159, 0.010790721378012853, 0.0107619936802017, 0.010738873724985947, 0.010719988077355119, 0.010704356809479409, 0.010691266097778519, 0.010680186356731219, 0.010670718245266343, 0.010662556223255513, 0.010655463440206339, 0.010649254108054982, 0.010643780918069567, 0.010638925920469691, 0.010634593821268674, 0.010630706992512024, 0.010627201714179007, 0.010624025312967994, 0.010621133962023417, 0.01061849097314667, 0.010616065459759476, 0.010613831281662076, 0.010611766205896822, 0.010609851234733307, 0.010608070063913013, 0.010606408643174024, 0.01060485481764618, 0.010603398033609407, 0.010602029095795287, 0.010600739966208486, 0.010599523596579789, 0.010598373788205408, 0.010597285074198831, 0.010596252620172487, 0.010595272140143108, 0.010594339825067127, 0.01059345228189742, 0.010592606481439906, 0.010591799713597506, 0.010591029548838664, 0.010590293804928406, 0.010589590518123731, 0.010588917918168237, 0.010588274406529676, 0.010587658537414142, 0.010587069001163985, 0.010586504609708126, 0.010585964283783831, 0.010585447041691677, 0.010584951989380397, 0.010584478311688459, 0.010584025264593582, 0.010583592168343064, 0.01058317840135497, 0.010582783394795842, 0.010582406627753267, 0.010582047622932206, 0.010581705942814148, 0.010581381186225369, 0.010581072985267934, 0.010580781002572906, 0.010580504928840315, 0.01058024448063484, 0.010579999398410193, 0.01057976944473819, 0.010579554402721781, 0.010579354074573683, 0.010579168280344355, 0.010578996856785315, 0.0105788396563353, 0.010578696546218309, 0.010578567407644155, 0.01057845213510294, 0.01057835063574647, 0.010578262828850011, 0.010578188645349299, 0.010578128027448, 0.010578080928291766, 0.0105780473117058, 0.010578027151993285, 0.010578020433792809, 0.010578027151993288, 0.0105780473117058, 0.010578080928291766, 0.010578128027448005, 0.010578188645349306, 0.010578262828850016, 0.01057835063574648, 0.010578452135102941, 0.01057856740764415, 0.010578696546218312, 0.010578839656335298, 0.010578996856785325, 0.010579168280344357, 0.010579354074573683, 0.010579554402721779, 0.010579769444738187, 0.0105799993984102, 0.010580244480634847, 0.010580504928840306, 0.010580781002572905, 0.010581072985267937, 0.010581381186225376, 0.01058170594281415, 0.0105820476229322, 0.010582406627753265, 0.010582783394795845, 0.010583178401354965, 0.010583592168343066, 0.010584025264593587, 0.010584478311688447, 0.010584951989380399, 0.010585447041691679, 0.010585964283783833, 0.010586504609708121, 0.010587069001163994, 0.010587658537414144, 0.010588274406529676, 0.010588917918168241, 0.010589590518123733, 0.010590293804928408, 0.010591029548838666, 0.010591799713597512, 0.010592606481439901, 0.010593452281897422, 0.010594339825067129, 0.010595272140143115, 0.010596252620172483, 0.010597285074198829, 0.010598373788205408, 0.010599523596579783, 0.010600739966208483, 0.010602029095795291, 0.01060339803360941, 0.010604854817646184, 0.010606408643174026, 0.01060807006391302, 0.010609851234733304, 0.01061176620589682, 0.010613831281662081, 0.010616065459759481, 0.010618490973146672, 0.010621133962023414, 0.010624025312967994, 0.010627201714179005, 0.010630706992512022, 0.010634593821268671, 0.010638925920469689, 0.010643780918069569, 0.010649254108054982, 0.010655463440206332, 0.010662556223255508, 0.010670718245266346, 0.010680186356731217, 0.010691266097778523, 0.010704356809479397, 0.010719988077355113, 0.010738873724985928, 0.010761993680201677, 0.010790721378012841, 0.010827027980905129, 0.010873821012767293, 0.010935528318715465, 0.011019152350196739, 0.011136280055939911, 0.011307174491896542, 0.011569804416294184, 0.012001902322632995, 0.012782424408541344, 0.014395664704981881, 0.018490512595141079, 0.032506305100914595, 0.067008280504422993, 0.035368016111483283, 0.019621542258276864, 0.015020153819152064, 0.013207730246377999, 0.012326137915502515, 0.01183394299254577, 0.011531786633422973, 0.011333084216231588, 0.011195451773881477, 0.011096186561726791, 0.011022244966606472, 0.010965700897083923, 0.01092151220647463, 0.010886346718902561, 0.010857930261422601, 0.010834667415032383, 0.010815412003129779, 0.010799323370368541, 0.010785773662532893, 0.010774286421614661, 0.010764494965538052, 0.010756113589337445, 0.010748917266817124, 0.010742727105172609, 0.010737399766774874, 0.010732819674163924, 0.010728893199109718, 0.010725544287535456, 0.010722711138747312, 0.010720343669997126, 0.010718401574714546, 0.010716852836698139, 0.010715672600841357, 0.01071484232864185, 0.010714349187188495, 0.010714185635855456, 0.01071426736062615, 0.010714513164023963, 0.010714924942950739, 0.010715505891317274, 0.010716260549571305, 0.010717194875908735, 0.010718316341133764, 0.010719634049834934, 0.010721158891362331, 0.010722903725065479, 0.01072488360543165, 0.010727116054215212, 0.010729621388451162, 0.01073242311551012, 0.010735548409218854, 0.010739028684732884, 0.010742900294561045, 0.010747205374256816, 0.010751992874284718, 0.010757319825104618, 0.010763252896512969, 0.01076987033103865, 0.010777264356558949, 0.010785544217939026, 0.010794840015275734, 0.010805307602942953, 0.010817134897601574, 0.010830550077525401, 0.010845832349785981, 0.010863326246911192, 0.010883460839625988, 0.010906775896568785, 0.010933958016534127, 0.010965891325143987, 0.011003729848730158, 0.011049002833555997, 0.011103771311749562, 0.011170866474915032, 0.011254262500276667, 0.011359677754067541, 0.011495578760489837, 0.011674925851690561, 0.011918354876606032, 0.012260308046517206, 0.012761659240596855, 0.013537888546149596, 0.014828421263668934, 0.017188625254816205, 0.022094184458566282, 0.03391485985734273, 0.06028511671063165, 0.06229752770379815, 0.034907706914924785, 0.022216843603820553, 0.017063513744338378, 0.014639352505836664, 0.013338592830847568, 0.012568518808535437, 0.012077904098449652, 0.011747286859544702, 0.011514451537017094, 0.011344566151284791, 0.011216956670104427, 0.011118749259421499, 0.011041599958459462, 0.010979914557455041, 0.010929832116857899, 0.010888620262076062, 0.01085430246632397, 0.010825421103553154, 0.01080088265557193, 0.010779854116811037, 0.010761692152012982, 0.010745893704351431, 0.010732060951549313, 0.010719876044364961, 0.010709082631489987, 0.010699472167709962, 0.010690873642820467, 0.01068314578983905, 0.010676171112482907, 0.010669851262939683, 0.010664103432544517, 0.010658857509820957, 0.010654053825252332, 0.010649641348556256, 0.010645576237776289, 0.010641820663993403, 0.010638341853512562, 0.010635111302805811, 0.010632104131565323, 0.010629298546834687, 0.010626675396988784, 0.010624217798784244, 0.01062191082414188, 0.010619741235996691, 0.010617697264643081, 0.010615768417649378, 0.010613945317718483, 0.010612219563907628, 0.010610583612449159, 0.010609030674079794, 0.010607554625323297, 0.010606149931607224, 0.010604811580449252, 0.010603535023238587, 0.010602316124376017, 0.010601151116732684, 0.010600036562549464, 0.010598969319033726, 0.010597946508022333, 0.010596965489173419, 0.010596023836227774, 0.010595119315946927, 0.010594249869390412, 0.010593413595241801, 0.010592608734932932, 0.010591833659349743, 0.010591086856931714, 0.010590366923001995, 0.010589672550186054, 0.010589002519794994, 0.010588355694065315, 0.010587731009160158, 0.010587127468849033, 0.010586544138792564, 0.010585980141368188, 0.010585434650979711, 0.010583901659759018, 0.010582509682875926, 0.010581242711182388, 0.010580086938860646, 0.010579030304833497, 0.010578062139679614, 0.0105771728921474, 0.010576353916282805, 0.010575597305119009, 0.010574895760427845, 0.010574242490617964, 0.010573631130763832, 0.010573055680157541, 0.010572510453828066, 0.010571990045266339, 0.010571489298198069, 0.010571003285709386, 0.010570527295389841, 0.010570056819439906, 0.010569587548916903, 0.01056911537148034, 0.010568636372158704, 0.010568146836806075, 0.010567643258060332, 0.010567122343766866, 0.010566581028006682, 0.010566016485082791, 0.010565426147097842, 0.01056480772613193, 0.010564159242549586, 0.010563479061700709, 0.010562765942336532, 0.010562019101601528, 0.010561238303738278, 0.010560423983051801, 0.010559577416864668, 0.010558700972199409, 0.010557798462495058, 0.010556875670768247, 0.010555941128431978, 0.0105550072937118, 0.010554092367172269, 0.010553223146317564, 0.010552439619278995, 0.010551802556921498, 0.010551406454773466, 0.010551402407923427, 0.010552040310980837, 0.010553750804829435, 0.010557314650347772, 0.010564241003919455, 0.0105777000053485, 0.010605143043836187, 0.010667136204238797, 0.010836589990245752, 0.011521565160777477, 0.020571720774302901, 0.019975726175295281, 0.011977341692762451, 0.011147678860185157, 0.010895729079919862, 0.010783990627612847, 0.010723617891854871, 0.01068679317982516, 0.010662426289552267, 0.01064534569293989, 0.010632857810048234, 0.010623439109073119, 0.010616170965231604, 0.010610470466237204, 0.010605951941453227, 0.010602351155076632, 0.010599481608048467, 0.01059720822998224, 0.010595430941561238, 0.010594074049207475, 0.010593079208293048, 0.010592400637620352, 0.010592001793094384, 0.010591853010279073, 0.010591929804365579, 0.010592211625032436, 0.010592680931724718, 0.0105933224983454, 0.010594122884689293, 0.010595070030772409, 0.010596152942928228, 0.010597361449271784, 0.010598686008213168, 0.010600117557993796, 0.010601647398286573, 0.010603267097119538, 0.010604968418003621, 0.010606743263341897, 0.010608583631089236, 0.010610481582300426, 0.010612429217711696, 0.010614418661885967, 0.010616442053747458, 0.010618491542558275, 0.010620559288564379, 0.010622637467673319, 0.010624718279630156, 0.010626793959238087, 0.010628856790230866, 0.01063089912145117, 0.010632913385023084, 0.010634892116232489, 0.010636827974847551, 0.01063871376762434, 0.01064054247175077, 0.01064230725898822, 0.010644001520273417, 0.010645618890545267, 0.010647153273563352, 0.010648598866486449, 0.010649950183981835, 0.01065120208163999, 0.010652349778473453, 0.010653388878286202, 0.010654315389707854, 0.010655125744697975, 0.010655816815338807, 0.010656385928749325, 0.010656830879971638, 0.010657149942698925, 0.010657341877735855, 0.010657405939104995, 0.010657363227820382, 0.010657235215609547, 0.010657022267013131, 0.010656724988307453, 0.010656344225575981, 0.010655881062027002, 0.010655336814574387, 0.010654713029703607, 0.010654011478649007, 0.010653234151912657, 0.010652383253159136, 0.010651461192523684, 0.01065047057937466, 0.010649414214573672, 0.010648295082279158, 0.010647116341341432, 0.010645881316337865, 0.010644593488298935, 0.010643256485175719, 0.010641874072099959, 0.010640450141487606, 0.010638988703036091, 0.01063749387366488, 0.010635969867447201, 0.010634420985579643, 0.010632851606434466, 0.010631266175737151, 0.010629669196909605, 0.010628065221617017, 0.010626458840553753, 0.010624854674500804, 0.010623257365684953, 0.010621671569466303, 0.010620101946378866, 0.010618553154545305, 0.010617029842484329, 0.010615536642326744, 0.010614078163453049, 0.010612658986562785, 0.010611283658183578, 0.010609956685624648, 0.010608682532377491, 0.010607465613963474, 0.010606310294225645, 0.010605220882059403, 0.010604201628573609, 0.010603256724670936, 0.010602390299032798, 0.010601606416490423, 0.010600909076759493, 0.010600302213510819, 0.010599789693743679, 0.010599375317421857, 0.010599062817324112, 0.01059885585905132, 0.010598758041121164, 0.010598772895067343, 0.01059890388544419, 0.01059915440961836, 0.010599527797206149, 0.01060002730898848, 0.010600656135104074, 0.010601417392284618, 0.010602314119853639, 0.010603349274162059, 0.010604525721078326, 0.010605846226088459, 0.010607313441491987, 0.010608929890103161, 0.010610697944783946, 0.010612619803046914, 0.010614697455874861, 0.010616932649811808, 0.010619326841291988, 0.010621881142094622, 0.010624596254750363, 0.01062747239668998, 0.010630509211929491, 0.010633705669142681, 0.010637059945100162, 0.010640569292673742, 0.010644229892938995, 0.010648036691381991, 0.010651983218853581, 0.010656061398740259, 0.01066026134285482, 0.010664571139805346, 0.010668976641079722, 0.010673461251769784, 0.010678005734717074, 0.010682588038827096, 0.01068718316427337, 0.010691763079161344, 0.010696296703775261, 0.010700749979578388, 0.010705086040447278, 0.010709265502942921, 0.010713246890520455, 0.010716987203247291, 0.010720442639706973, 0.010723569471284137, 0.010726325061063866, 0.01072866901041721, 0.010730564406435713, 0.010731979133349076, 0.010732887201676995, 0.010733270040976196, 0.010733117696499615, 0.010732429867644652, 0.010731216727304487, 0.010729499466440511, 0.010727310517322085, 0.01072469342151766, 0.010721702324120676, 0.010718401092823742, 0.010714862078116115, 0.010711164547835463, 0.010707392844400003, 0.010703634325344538, 0.010699977156636403, 0.010696508033352099, 0.010693309903682419, 0.01069045977023071, 0.010688026637712846, 0.010686069669121508, 0.010684636603861451, 0.010683762481917752, 0.010683468708277584], [0.010949130258170695, 0.010949072421235573, 0.010948899051071744, 0.010948610569138465, 0.010948207676320345, 0.010947691350618814, 0.010947062843945881, 0.010946323678044989, 0.010945475639571094, 0.010944520774368619, 0.010943461380991367, 0.010942300003515069, 0.010941039423698076, 0.010939682652550459, 0.010938232921376356, 0.010936693672358284, 0.010935068548755452, 0.010933361384790855, 0.010931576195305114, 0.010929717165256328, 0.010927788639147959, 0.010925795110467467, 0.010923741211221038, 0.010921631701650078, 0.010919471460217609, 0.010917265473954213, 0.010915018829255335, 0.010912736703225123, 0.010910424355665395, 0.010908087121813537, 0.010905730405939885, 0.010903359675922984, 0.0109009804589326, 0.010898598338363843, 0.010896218952183441, 0.010893847992870827, 0.01089149120916514, 0.010889154409863308, 0.01088684346995775, 0.010884564339456658, 0.010882323055296884, 0.010880125756843764, 0.010877978705577827, 0.010875888309699908, 0.010873861154552421, 0.010871904039963068, 0.010870024025881723, 0.01086822848801605, 0.010866525185598563, 0.010864922343964271, 0.01086342875532066, 0.01086205390199955, 0.010860808107659553, 0.010859702723447807, 0.010858750358151471, 0.010857965164041099, 0.010857363193658116, 0.010856962847546912, 0.010856785439324858, 0.010856855913148111, 0.010857203760458088, 0.010857864199154018, 0.010858879700861607, 0.010860301983410359, 0.010862194629873548, 0.010864636558283805, 0.010867726655907708, 0.01087159002146299, 0.010876386447077677, 0.01088232204827814, 0.010889665359450143, 0.010898769822628092, 0.010910105514999718, 0.010924304348720999, 0.010942225087340942, 0.01096504773996114, 0.010994411788317591, 0.011032620084692942, 0.011082941173039726, 0.011150058257692764, 0.011240733103309008, 0.011364773884305835, 0.011536401769615507, 0.011776055959049115, 0.012112446795360813, 0.012584020273326637, 0.013237548829452142, 0.014119091289327958, 0.015250355039116674, 0.016587043979975492, 0.017974412415766024, 0.019145726294358015, 0.019809554963638072, 0.01979696979389654, 0.019153850191379149, 0.018098234057161738, 0.016892049483489095, 0.015735339090152775, 0.014733632486379338, 0.013917407390528047, 0.01327513343411944, 0.012778760466084086, 0.012397860860065623, 0.01210563180831856, 0.011880528778850569, 0.011706006211759431, 0.0115696425598885, 0.011462204026717248, 0.011376842422237757, 0.011308467421851766, 0.011253276346655249, 0.011208409523338896, 0.011171700175607561, 0.011141493463019318, 0.011116515397540629, 0.011095777536590854, 0.01107850732347578, 0.011064096862010554, 0.011052065003026535, 0.011042029102527698, 0.01103368385698026, 0.011026785358906808, 0.011021139037792347, 0.011016590522301717, 0.01101301872540498, 0.011010330645905978, 0.011008457520215892, 0.011007352062586327, 0.011006986611502468, 0.011007136311966783, 0.011007587564096619, 0.011008346883930778, 0.011009425347631541, 0.011010838927581734, 0.011012608987826572, 0.011014762966230078, 0.011017335282384738, 0.011020368525501444, 0.011023914996829138, 0.011028038708937708, 0.011032817982869394, 0.011038348838862821, 0.011044749454921223, 0.011052166082099428, 0.01106078097525145, 0.011070823154060119, 0.011082583202318044, 0.011096433929045888, 0.011112859700040396, 0.011132498862318636, 0.011156206398457219, 0.011185148648911418, 0.011220950352403154, 0.01126592987215907, 0.011323488713427147, 0.011398782868378922, 0.011499935495344046, 0.011640353176915554, 0.011843458986978635, 0.012153204066729043, 0.012660004708824099, 0.013574143286862343, 0.015475483595063507, 0.020403192424252446, 0.037812155795612194, 0.067988458852554806, 0.031108473738536219, 0.018237131026444548, 0.014455140438887173, 0.012949313669076383, 0.012215577409866682, 0.011807541086010486, 0.011558826285725349, 0.011396701059400775, 0.01128547095721222, 0.011206019111440074, 0.011147384633902684, 0.011102929867862396, 0.011068451088743273, 0.011041184678842004, 0.011019255387643803, 0.011001355776249005, 0.010986552597279622, 0.010974165848498221, 0.01096369097212881, 0.010954747497149985, 0.010947044349683801, 0.010940355936032417, 0.010934505345852203, 0.010929352357318225, 0.010924784740628262, 0.010920711865051645, 0.010917059939420324, 0.010913768427172111, 0.010910787316899762, 0.010908075023466191, 0.010905596759033598, 0.010903323257884186, 0.010901229770156264, 0.010899295261809303, 0.010897501774067722, 0.010895833907158864, 0.010894278401637531, 0.010892823796860497, 0.010891460150853403, 0.010890178809333484, 0.010888972214320699, 0.010887833744809068, 0.010886757583538102, 0.010885738605118708, 0.010884772281713724, 0.01088385460321499, 0.010882982009443133, 0.010882151332359761, 0.010881359746650436, 0.010880604727332734, 0.010879884013280893, 0.010879195575750934, 0.010878537591146086, 0.010877908417388952, 0.010877306573371407, 0.010876730721038078, 0.010876179649730061, 0.010875652262473542, 0.010875147563946544, 0.010874664649897033, 0.010874202697819798, 0.010873760958727104, 0.010873338749872506, 0.010872935448306685, 0.010872550485161482, 0.010872183340572564, 0.010871833539163057, 0.010871500646021548, 0.010871184263116038, 0.010870884026093479, 0.010870599601421029, 0.010870330683830651, 0.010870076994033591, 0.010869838276675677, 0.010869614298507635, 0.010869404846748219, 0.010869209727620437, 0.010869028765043656, 0.010868861799466494, 0.010868708686827294, 0.010868569297630561, 0.010868443516129284, 0.01086833123960417, 0.010868232377732368, 0.010868146852038687, 0.010868074595423913, 0.01086801555176526, 0.010867969675584751, 0.010867936931782429, 0.010867917295431483, 0.01086791075163338, 0.010867917295431484, 0.010867936931782434, 0.010867969675584749, 0.010868015551765257, 0.010868074595423919, 0.010868146852038688, 0.010868232377732373, 0.01086833123960417, 0.010868443516129278, 0.010868569297630566, 0.010868708686827292, 0.010868861799466502, 0.010869028765043658, 0.010869209727620436, 0.010869404846748212, 0.010869614298507631, 0.010869838276675682, 0.010870076994033594, 0.010870330683830648, 0.010870599601421027, 0.010870884026093484, 0.010871184263116045, 0.010871500646021555, 0.01087183353916305, 0.010872183340572562, 0.010872550485161489, 0.010872935448306685, 0.010873338749872502, 0.010873760958727108, 0.010874202697819789, 0.010874664649897038, 0.010875147563946544, 0.010875652262473546, 0.010876179649730052, 0.010876730721038086, 0.010877306573371413, 0.010877908417388952, 0.010878537591146089, 0.010879195575750934, 0.01087988401328089, 0.010880604727332739, 0.010881359746650441, 0.010882151332359757, 0.010882982009443133, 0.010883854603214997, 0.01088477228171373, 0.010885738605118711, 0.010886757583538102, 0.010887833744809072, 0.010888972214320697, 0.010890178809333477, 0.010891460150853407, 0.010892823796860502, 0.010894278401637533, 0.010895833907158864, 0.01089750177406773, 0.010899295261809301, 0.010901229770156265, 0.010903323257884193, 0.010905596759033603, 0.010908075023466192, 0.010910787316899765, 0.010913768427172109, 0.010917059939420316, 0.01092071186505165, 0.010924784740628258, 0.010929352357318225, 0.010934505345852205, 0.010940355936032417, 0.010947044349683797, 0.010954747497149983, 0.010963690972128817, 0.010974165848498221, 0.010986552597279627, 0.011001355776248998, 0.011019255387643796, 0.01104118467884198, 0.011068451088743247, 0.01110292986786238, 0.011147384633902638, 0.01120601911144008, 0.011285470957212156, 0.011396701059400717, 0.011558826285725174, 0.011807541086010318, 0.01221557740986684, 0.01294931366907588, 0.014455140438886901, 0.018237131026441644, 0.031108473738517748, 0.067988458852550282, 0.037812155795648804, 0.020403192424253362, 0.015475483595068144, 0.013574143286863724, 0.012660004708825305, 0.012153204066729883, 0.011843458986978705, 0.011640353176915865, 0.011499935495344119, 0.01139878286837899, 0.011323488713427161, 0.011265929872159136, 0.011220950352403138, 0.011185148648911443, 0.011156206398457226, 0.011132498862318617, 0.0111128597000404, 0.011096433929045873, 0.011082583202318041, 0.011070823154060109, 0.011060780975251452, 0.011052166082099434, 0.011044749454921215, 0.01103834883886283, 0.011032817982869385, 0.011028038708937711, 0.011023914996829136, 0.011020368525501444, 0.011017335282384742, 0.011014762966230078, 0.011012608987826572, 0.011010838927581736, 0.011009425347631534, 0.011008346883930773, 0.011007587564096616, 0.011007136311966779, 0.011006986611502479, 0.011007061417787675, 0.011007286381472909, 0.011007663144913724, 0.011008194471791079, 0.0110088842874503, 0.011009737736817012, 0.011010761261399642, 0.011011962697420843, 0.011013351397737665, 0.011014938380939747, 0.011016736511891691, 0.0110187607190552, 0.011021028255244078, 0.011023559010106418, 0.011026375884688001, 0.011029505241039789, 0.011032977443157543, 0.011036827509815666, 0.011041095905387155, 0.011045829501953911, 0.011051082755487145, 0.011056919151431163, 0.011063412991789838, 0.011070651618411765, 0.011078738197906498, 0.011087795235850684, 0.011097969046571118, 0.011109435487110922, 0.011122407380973231, 0.011137144225655055, 0.011153965023838286, 0.011173265442426188, 0.011195541052326135, 0.011221419243012563, 0.011251703720328902, 0.011287437593665154, 0.011329994484592319, 0.011381212828867955, 0.011443598436318293, 0.01152063796992, 0.011617298435896073, 0.011740849988728947, 0.011902274270365288, 0.012118784815687214, 0.012418580339852783, 0.012850386238504973, 0.013504104528507319, 0.014559799646732893, 0.016417681684925932, 0.020091393015609995, 0.028536930434494394, 0.049815777712082183, 0.071386542355321062, 0.044293684938269344, 0.025897432604131052, 0.01874406046624422, 0.015591609876287759, 0.013981863298636146, 0.013062865937482139, 0.01249314313589605, 0.012117263761555339, 0.011856994222621271, 0.011669705681418905, 0.01153064619862719, 0.01142467983726504, 0.011342144938329963, 0.011276647488041913, 0.011223823789634825, 0.011180615774759359, 0.011144830344061038, 0.011114862534701302, 0.011089516560426385, 0.011067887158103714, 0.011049279126504359, 0.011033151651748304, 0.01101907907683365, 0.011006722799342082, 0.010995810836808827, 0.010986122762837978, 0.010977478462079809, 0.010969729638360372, 0.010962753333082756, 0.010956446928851038, 0.01095072426244704, 0.010945512574869636, 0.010940750098986936, 0.010936384137192204, 0.010932369518759281, 0.010928667353721973, 0.010925244020021534, 0.010922070335429879, 0.010919120876791765, 0.010916373417446727, 0.010913808460008657, 0.010911408846514037, 0.010909159431673367, 0.010907046807847416, 0.010905059072623499, 0.010903185631635448, 0.010901417030667222, 0.010899744812188574, 0.010898161392355389, 0.010896659955216105, 0.010895234361437101, 0.010893879069321833, 0.010892589066274367, 0.010891359809164251, 0.010890187172301349, 0.010889067401935399, 0.010887997076366047, 0.010886973070890165, 0.010885992526931183, 0.010885052824792641, 0.010884151559560854, 0.010883286519749793, 0.010882455668339851, 0.010881657125910597, 0.0108808891556095, 0.010880150149733396, 0.010879438617729761, 0.01087875317545013, 0.010878092535510055, 0.010877455498628587, 0.010876840945836432, 0.010876247831455974, 0.010875675176767777, 0.010875122064289401, 0.010874587632600446, 0.01087308855359991, 0.010871731069016474, 0.010870498647189922, 0.010869377097143132, 0.010868354071923849, 0.010867418688099859, 0.010866561232388097, 0.010865772934277252, 0.010865045789082291, 0.010864372419864203, 0.010863745969539004, 0.010863160016612689, 0.010862608509537023, 0.010862085715840271, 0.010861586183056977, 0.010861104709139048, 0.010860636320533249, 0.010860176256497749, 0.010859719958533942, 0.010859263064050981, 0.010858801403578059, 0.010858331001007762, 0.010857848076504684, 0.010857349051860062, 0.010856830558226728, 0.010856289446343944, 0.010855722799576991, 0.010855127950375045, 0.010854502501127487, 0.010853844350921401, 0.01085315173044505, 0.010852423248352196, 0.010851657953968665, 0.010850855423548347, 0.010850015880786089, 0.010849140367641426, 0.010848230989821636, 0.010847291274359704, 0.010846326697758304, 0.010845345477674314, 0.01084435977900053, 0.010843387584753799, 0.010842455658244123, 0.010841604344292172, 0.01084089556474872, 0.010840426559630986, 0.010840354392512824, 0.010840941612777707, 0.010842645947669481, 0.010846308200944578, 0.010853578822677963, 0.010867991460862014, 0.010898062714077214, 0.010968154664015817, 0.011169775619621737, 0.01207934959795424, 0.031382420075157583, 0.016677286382565128, 0.012030591855499725, 0.011378970702171101, 0.011163114223465836, 0.011063229665583721, 0.011007866112229361, 0.010973512978873518, 0.010950500026289479, 0.010934218969035812, 0.010922230710073491, 0.010913138395357957, 0.010906091369023927, 0.010900545433518673, 0.010896138070763551, 0.010892619461806117, 0.0108898123949537, 0.010887587957692664, 0.010885850255214692, 0.010884526497737475, 0.010883560391829325, 0.01088290762684919, 0.010882532725630414, 0.010882406804776142, 0.010882505954484688, 0.010882810048538789, 0.01088330185826159, 0.01088396638474747, 0.010884790350176751, 0.01088576180668307, 0.010886869833211401, 0.010888104299042628, 0.010889455678414156, 0.010890914904736367, 0.010892473255821492, 0.010894122263654679, 0.01089585364378445, 0.010897659240554787, 0.010899530985254457, 0.010901460864902134, 0.010903440899872363, 0.010905463128938699, 0.010907519600594528, 0.010909602369731234, 0.010911703498921801, 0.010913815063688279, 0.010915929161232038, 0.010918037922182778, 0.010920133524980781, 0.010922208212552032, 0.010924254310968344, 0.010926264249809118, 0.010928230583958712, 0.010930146016585261, 0.010932003423054431, 0.010933795875536884, 0.010935516668071099, 0.01093715934184469, 0.010938717710459064, 0.010940185884943641, 0.010941558298287789, 0.010942829729262566, 0.010943995325308039, 0.010945050624269903, 0.01094599157477652, 0.010946814555059083, 0.01094751639003033, 0.0109480943664522, 0.01094854624604109, 0.010948870276377892, 0.010949065199511884, 0.010949130258170695, 0.010949086881971921, 0.010948956876881756, 0.010948740613024342, 0.010948438705962097, 0.010948052014737728, 0.010947581639150871, 0.010947028916286704, 0.010946395416318849, 0.010945682937613091, 0.010944893501162763, 0.010944029344390522, 0.010943092914354779, 0.010942086860402128, 0.010941014026309991, 0.010939877441965801, 0.010938680314631617, 0.010937426019843389, 0.010936118091996488, 0.01093476021466868, 0.010933356210732392, 0.010931910032307902, 0.01093042575060822, 0.010928907545725933, 0.010927359696410278, 0.010925786569881737, 0.010924192611729291, 0.010922582335933234, 0.0109209603150541, 0.010919331170625908, 0.010917699563789011, 0.010916070186195118, 0.01091444775121421, 0.010912836985469822, 0.010911242620726758, 0.010909669386151696, 0.010908122000964329, 0.010906605167494088, 0.010905123564654002, 0.010903681841840575, 0.010902284613265929, 0.010900936452725031, 0.010899641888798611, 0.010898405400488947, 0.010897231413283049, 0.010896124295634755, 0.010895088355853719, 0.010894127839386186, 0.010893246926468383, 0.010892449730129308, 0.01089174029451476, 0.010891122593499074, 0.010890600529544677, 0.010890177932761974, 0.010889858560113571, 0.010889646094696255, 0.010889544145022282, 0.010889556244206953, 0.010889685848952614, 0.010889936338199516, 0.01089031101129048, 0.010890813085469516, 0.0108914456925031, 0.010892211874176631, 0.010893114576377422, 0.010894156641428737, 0.0108953407982866, 0.010896669650152775, 0.010898145658992881, 0.010899771126379324, 0.010901548170005085, 0.010903478695138137, 0.010905564360210219, 0.010907806535660619, 0.010910206255090952, 0.010912764157736456, 0.010915480421230944, 0.010918354683646917, 0.010921385953840686, 0.010924572509239824, 0.01092791178039353, 0.010931400221883821, 0.010935033169588033, 0.010938804684810373, 0.010942707386483359, 0.010946732273494963, 0.010950868540235472, 0.010955103389682082, 0.010959421849737807, 0.010963806600086499, 0.010968237818466816, 0.010972693056928318, 0.010977147160206504, 0.010981572239702263, 0.010985937717510731, 0.010990210455323035, 0.010994354982622459, 0.010998333837213671, 0.011002108028590174, 0.011005637630836592, 0.011008882506641898, 0.01101180315763315, 0.01101436168882397, 0.011016522866851656, 0.011018255243329779, 0.011019532306671943, 0.01102033361882428, 0.011020645888175709, 0.011020463927136348, 0.011019791442990742, 0.011018641613943407, 0.011017037408812812, 0.011015011618343947, 0.01101260657805724, 0.011009873576160286, 0.011006871954376177, 0.011003667923584905, 0.011000333128975881, 0.010996943010147869, 0.01099357500967592, 0.010990306688763798, 0.010987213810667798, 0.010984368451818896, 0.010981837197393297, 0.010979679473019218, 0.010977946057947233, 0.010976677817906625, 0.010975904688492352, 0.010975644932615171], [0.011215076281189715, 0.011215017694254214, 0.011214842075757571, 0.011214549852157802, 0.011214141732649958, 0.011213618706826557, 0.011212982041428374, 0.011212233276210669, 0.011211374218957558, 0.011210406939683816, 0.011209333764068827, 0.01120815726617423, 0.01120688026050156, 0.011205505793451122, 0.011204037134247929, 0.011202477765404451, 0.011200831372793256, 0.011199101835405503, 0.01119729321487423, 0.011195409744842934, 0.011193455820262523, 0.01119143598670037, 0.011189354929747972, 0.01118721746461376, 0.011185028525990232, 0.011182793158285843, 0.011180516506314219, 0.011178203806536627, 0.011175860378956685, 0.011173491619771507, 0.011171102994890054, 0.011168700034436855, 0.011166288328370721, 0.011163873523360894, 0.01116146132108045, 0.011159057478097737, 0.011156667807574211, 0.011154298183010152, 0.011151954544321708, 0.011149642906585469, 0.01114736937185141, 0.011145140144506575, 0.011142961550773147, 0.011140840063051213, 0.011138782329975404, 0.011136795213253833, 0.011134885832609452, 0.011133061620461683, 0.011131330388390117, 0.01112970040793694, 0.011128180508964148, 0.011126780199629956, 0.01112550981314595, 0.011124380687902204, 0.011123405389409645, 0.011122597984955664, 0.01112197438510026, 0.01112155277043337, 0.011121354127752453, 0.011121402927536281, 0.011121727985033124, 0.011122363561502771, 0.011123350781645643, 0.011124739470149796, 0.011126590547646533, 0.011128979178601589, 0.011131998937183127, 0.011135767361266327, 0.011140433413087489, 0.011146187577604452, 0.011153275635557255, 0.011162017590113654, 0.011172833865280823, 0.01118628181809647, 0.011203106934444056, 0.011224314963807802, 0.011251273863503091, 0.011285857893657292, 0.011330650422754383, 0.011389226158440929, 0.011466535011248153, 0.011569401941080608, 0.011707124724926354, 0.011892063804321749, 0.012139921839481479, 0.012469038109311749, 0.012897465520075377, 0.013436130343566787, 0.014076954489830066, 0.014778149693601536, 0.015455567955355388, 0.015994020463474937, 0.016284780037308245, 0.016272605538145423, 0.015979670280617499, 0.015489188491751538, 0.014904450420054742, 0.014312659792565508, 0.013769272726304854, 0.013299873123047435, 0.012909544009751889, 0.012592283550410886, 0.012337610624139527, 0.012134307155840801, 0.011972164885082048, 0.011842588888389755, 0.011738638086677093, 0.011654833748221041, 0.011586902725522192, 0.011531529499975764, 0.011486144009395412, 0.011448750478192417, 0.011417793627321074, 0.011392055897419179, 0.011370579205480737, 0.011352605612292357, 0.011337532362173584, 0.011324877769003231, 0.011314255266818684, 0.011305353609492627, 0.011297921714178712, 0.011291757027506883, 0.011286696580516301, 0.011282610111988499, 0.011279394799067938, 0.011276971253254772, 0.011275280529864989, 0.011274281967978365, 0.011273951731811102, 0.011274089293227501, 0.011274503850581753, 0.011275201075748451, 0.011276190599657168, 0.011277486288325426, 0.011279106648698937, 0.011281075385513222, 0.011283422139282151, 0.011286183446975101, 0.011289403982109867, 0.011293138151495789, 0.011297452154079884, 0.011302426646788662, 0.011308160218197482, 0.011314773951367792, 0.011322417474821369, 0.011331277075222206, 0.011341586708935286, 0.01135364315491863, 0.01136782718705052, 0.011384633662833805, 0.011404715098008221, 0.011428946116114152, 0.011458521057195413, 0.01149510581420758, 0.011541081328650098, 0.011599947979233565, 0.011677024998422573, 0.011780719226064428, 0.011924961147855321, 0.012134215387886204, 0.012454702221771089, 0.012982395622677827, 0.01394347635565577, 0.015974140336669034, 0.021382222744464777, 0.041206656792930813, 0.067397267119870541, 0.029332726000637271, 0.01788245470917137, 0.014462742876459192, 0.013079220426020775, 0.0123980745786837, 0.012016745607919693, 0.011783285398866538, 0.011630659588610828, 0.011525746924646228, 0.011450718020194643, 0.011395310084558222, 0.011353289259990617, 0.011320698117595989, 0.011294930070006816, 0.011274213810057067, 0.011257312949209041, 0.011243344176759887, 0.011231663451243906, 0.011221792671361848, 0.011213371202977197, 0.011206123099552398, 0.011199834479642838, 0.011194337625866481, 0.011189499621796552, 0.011185214108670908, 0.011181395222692306, 0.011177973079639707, 0.011174890372749307, 0.011172099781869418, 0.01116956198083221, 0.011167244090788314, 0.011165118469397885, 0.011163161755363705, 0.01116135410881915, 0.011159678603192471, 0.011158120735138629, 0.01115666802717355, 0.011155309703597441, 0.011154036424737017, 0.011152840067879605, 0.011151713545808191, 0.011150650655783335, 0.011149645953308399, 0.011148694646168179, 0.011147792505130469, 0.011146935788404495, 0.01114612117750621, 0.011145345722620293, 0.011144606795899917, 0.011143902051425755, 0.011143229390772022, 0.011142586933309729, 0.011141972990525235, 0.011141386043753415, 0.011140824724823015, 0.011140287799193252, 0.011139774151227426, 0.01113928277130476, 0.011138812744517395, 0.011138363240738124, 0.011137933505875891, 0.011137522854163492, 0.011137130661343767, 0.011136756358640174, 0.011136399427413452, 0.0111360593944193, 0.011135735827594542, 0.01113542833230801, 0.011135136548021573, 0.011134860145313671, 0.011134598823223917, 0.01113435230688271, 0.011134120345394443, 0.011133902709946731, 0.011133699192121753, 0.011133509602388694, 0.011133333768758764, 0.011133171535586881, 0.011133022762505825, 0.011132887323480519, 0.01113276510597185, 0.011132656010200439, 0.011132559948502476, 0.011132476844770303, 0.011132406633972049, 0.011132349261744976, 0.011132304684058261, 0.011132272866941781, 0.011132253786278004, 0.011132247427654863, 0.011132253786278006, 0.011132272866941781, 0.011132304684058255, 0.011132349261744976, 0.011132406633972056, 0.011132476844770306, 0.011132559948502485, 0.011132656010200442, 0.011132765105971845, 0.011132887323480518, 0.011133022762505827, 0.011133171535586892, 0.011133333768758765, 0.011133509602388691, 0.011133699192121751, 0.011133902709946727, 0.011134120345394447, 0.011134352306882717, 0.01113459882322391, 0.011134860145313669, 0.01113513654802158, 0.011135428332308017, 0.011135735827594547, 0.011136059394419294, 0.01113639942741345, 0.011136756358640181, 0.011137130661343761, 0.011137522854163487, 0.011137933505875896, 0.011138363240738112, 0.011138812744517399, 0.01113928277130476, 0.011139774151227426, 0.011140287799193245, 0.01114082472482302, 0.011141386043753421, 0.011141972990525233, 0.011142586933309735, 0.011143229390772023, 0.01114390205142575, 0.011144606795899917, 0.011145345722620298, 0.011146121177506201, 0.011146935788404493, 0.011147792505130476, 0.011148694646168184, 0.011149645953308395, 0.011150650655783335, 0.011151713545808191, 0.011152840067879604, 0.011154036424737012, 0.011155309703597445, 0.011156668027173553, 0.011158120735138635, 0.011159678603192471, 0.011161354108819157, 0.011163161755363702, 0.011165118469397885, 0.011167244090788318, 0.011169561980832216, 0.011172099781869423, 0.011174890372749307, 0.011177973079639705, 0.011181395222692297, 0.011185214108670908, 0.011189499621796557, 0.011194337625866482, 0.01119983447964284, 0.011206123099552396, 0.011213371202977197, 0.011221792671361848, 0.011231663451243913, 0.011243344176759887, 0.011257312949209043, 0.011274213810057061, 0.011294930070006811, 0.011320698117595954, 0.011353289259990584, 0.011395310084558201, 0.011450718020194584, 0.011525746924646238, 0.011630659588610748, 0.011783285398866443, 0.012016745607919417, 0.012398074578683475, 0.013079220426021042, 0.014462742876458172, 0.017882454709171054, 0.029332726000628511, 0.067397267119845061, 0.041206656792937932, 0.021382222744475179, 0.015974140336669513, 0.013943476355657949, 0.012982395622678567, 0.012454702221771811, 0.012134215387886779, 0.011924961147855379, 0.011780719226064641, 0.01167702499842262, 0.011599947979233608, 0.011541081328650105, 0.011495105814207637, 0.011458521057195402, 0.011428946116114164, 0.011404715098008229, 0.011384633662833793, 0.011367827187050521, 0.011353643154918613, 0.011341586708935283, 0.011331277075222199, 0.011322417474821368, 0.011314773951367795, 0.011308160218197473, 0.011302426646788669, 0.011297452154079879, 0.011293138151495793, 0.011289403982109869, 0.011286183446975098, 0.011283422139282157, 0.01128107538551322, 0.011279106648698941, 0.011277486288325426, 0.011276190599657166, 0.011275201075748446, 0.011274503850581753, 0.011274089293227502, 0.011273951731811106, 0.011274020474301457, 0.011274227177094906, 0.011274573272636928, 0.011275061170086758, 0.011275694288493794, 0.011276477104367848, 0.011277415214817385, 0.01127851541783961, 0.01127978581181892, 0.011281235916844429, 0.011282876821118578, 0.011284721356529531, 0.011286784308438989, 0.011289082665946694, 0.011291635920399399, 0.01129446642180388, 0.011297599805195057, 0.011301065502056418, 0.011304897355795521, 0.011309134365321837, 0.011313821587335392, 0.011319011236534681, 0.011324764034310613, 0.011331150871620501, 0.01133825487205626, 0.01134617396866662, 0.011355024145800233, 0.011364943549384252, 0.011376097741974048, 0.011388686482082851, 0.011402952555130002, 0.01141919339805407, 0.011437776576069727, 0.011459160643829239, 0.011483923644899589, 0.011512802623362977, 0.011546749295094224, 0.0115870098991837, 0.011635242019427288, 0.011693689303111302, 0.0117654493166112, 0.011854895823600045, 0.01196836603067725, 0.012115320666307664, 0.012310386909736928, 0.012577139108495125, 0.012955519906998929, 0.013517475739140927, 0.014402865236644039, 0.015911134536345132, 0.018767352763064196, 0.025006146200964818, 0.040839503052263026, 0.070844044261875044, 0.056029279176091823, 0.030704237555729531, 0.020750198138166667, 0.016639339129150037, 0.014647016135498802, 0.013552036777797231, 0.012892083858744045, 0.012465977751200095, 0.012175924727418535, 0.01197007892289415, 0.011818992880533001, 0.011704981932921063, 0.01161692660709503, 0.011547561708218541, 0.011491983240390118, 0.011446787226224131, 0.011409552943342942, 0.011378522017116149, 0.011352393074105504, 0.011330186822734361, 0.011311155301502201, 0.011294719541552258, 0.01128042593150992, 0.01126791514820029, 0.011256899689203273, 0.011247147394496807, 0.011238469203226865, 0.011230709948228234, 0.011223741358182108, 0.011217456683671335, 0.011211766531214131, 0.011206595605292703, 0.011201880139545374, 0.011197565855790769, 0.011193606330763294, 0.011189961680289854, 0.011186597492478667, 0.011183483957621285, 0.011180595154528006, 0.011177908462047199, 0.011175404071357704, 0.011173064579841126, 0.011170874651349518, 0.011168820730785055, 0.011166890803322383, 0.011165074190494405, 0.01116336137685202, 0.011161743862087424, 0.011160214034449901, 0.011158765062034498, 0.011157390799128277, 0.011156085705286917, 0.011154844775210285, 0.011153663477808671, 0.011152537703114871, 0.011151463715914306, 0.011150438115144027, 0.011149457798259408, 0.011148519929889704, 0.011147621914206454, 0.011146761370513524, 0.011145936111639736, 0.011145144124774882, 0.011144383554440916, 0.011143652687332932, 0.011142949938801008, 0.011142273840774935, 0.011141623030960246, 0.011140996243156474, 0.01114039229856782, 0.011139810097993275, 0.011139248614796904, 0.011138706888572077, 0.011138184019423377, 0.011136720358031586, 0.011135398828676167, 0.011134202348507694, 0.011133116324943423, 0.011132128117112818, 0.011131226625324031, 0.011130401976015915, 0.011129645278634213, 0.011128948437185524, 0.011128304003717775, 0.01112770506421067, 0.011127145149711059, 0.011126618167273557, 0.011126118346544221, 0.011125640198779147, 0.011125178485808067, 0.011124728196999164, 0.0111242845326999, 0.011123842892954861, 0.011123398870558491, 0.011122948247710073, 0.011122486995713991, 0.011122011277324925, 0.011121517451487132, 0.011121002080372538, 0.011120461938798561, 0.011119894026321931, 0.011119295582583951, 0.011118664106860243, 0.011117997383294106, 0.011117293514042033, 0.011116550963645789, 0.011115768619541886, 0.011114945875999926, 0.011114082752380865, 0.011113180062129581, 0.011112239657525556, 0.011111264788865762, 0.011110260638804841, 0.011109235128937758, 0.011108200157046772, 0.011107173529553675, 0.011106182042595883, 0.011105266512210568, 0.011104490215339172, 0.011103953516310888, 0.011103820187919408, 0.011104366957619176, 0.01110608197316661, 0.01110987395372896, 0.011117555092389438, 0.011133082721392028, 0.011166248784741871, 0.01124615461735309, 0.011489285018817259, 0.012738407113583308, 0.061698712350584578, 0.015079641454104429, 0.012116576058537241, 0.011594206428396514, 0.011407611067593906, 0.011317877077555334, 0.01126694998386117, 0.011234838101628106, 0.011213075242848413, 0.01119754332289298, 0.0111860290986498, 0.011177249890401433, 0.011170417082108763, 0.01116502219370517, 0.011160724266413208, 0.011157287017117091, 0.011154542019310073, 0.011152366225737271, 0.011150667753283681, 0.011149376613550237, 0.01114843850424437, 0.011147810551224116, 0.011147458326437616, 0.011147353720026941, 0.011147473396348124, 0.01114779765679893, 0.011148309591004881, 0.011148994435669347, 0.011149839085181041, 0.011150831714642984, 0.011151961487251214, 0.011153218325725623, 0.011154592732938831, 0.011156075650749116, 0.011157658348815888, 0.011159332337188878, 0.011161089297939257, 0.011162921032195385, 0.011164819419763532, 0.011166776389130524, 0.011168783896112573, 0.0111708339097719, 0.01117291840449617, 0.011175029357347108, 0.011177158749947099, 0.011179298574298191, 0.011181440842024938, 0.011183577596606827, 0.011185700928222101, 0.011187802990868507, 0.011189876021457148, 0.01119191236059938, 0.011193904474822618, 0.01119584497996229, 0.011197726665483833, 0.011199542519493604, 0.01120128575419959, 0.011202949831584152, 0.011204528489052214, 0.011206015764819312, 0.011207406022805838, 0.011208693976807231, 0.011209874713713743, 0.011210943715560936, 0.011211896880199846, 0.011212730540386934, 0.011213441481107011, 0.011214026954957518, 0.011214484695440596, 0.011214812928028573, 0.011215010378890349, 0.011215076281189715, 0.011215032342518106, 0.01121490065159003, 0.011214681583266455, 0.011214375760987936, 0.011213984054791844, 0.011213507578554643, 0.011212947686476628, 0.011212305968831875, 0.011211584247010218, 0.011210784567882515, 0.011209909197524423, 0.011208960614337375, 0.011207941501608708, 0.011206854739555683, 0.011205703396900298, 0.011204490722024422, 0.011203220133755012, 0.011201895211831703, 0.011200519687108446, 0.011199097431541696, 0.011197632448017331, 0.011196128860067446, 0.011194590901527929, 0.011193022906185422, 0.011191429297461279, 0.011189814578177989, 0.011188183320451194, 0.011186540155747949, 0.011184889765149491, 0.011183236869853711, 0.011181586221949782, 0.011179942595494367, 0.011178310777915415, 0.011176695561767173, 0.011175101736856093, 0.011173534082754519, 0.011171997361716139, 0.011170496312003534, 0.011169035641635433, 0.011167620022558179, 0.01116625408524251, 0.011164942413704068, 0.011163689540942526, 0.011162499944791184, 0.011161378044165513, 0.011160328195695377, 0.011159354690721964, 0.011158461752636325, 0.01115765353453144, 0.011156934117134859, 0.011156307506982641, 0.011155777634788625, 0.011155348353954958, 0.011155023439160517, 0.011154806584952931, 0.011154701404257394, 0.011154711426700282, 0.011154840096628451, 0.011155090770684955, 0.011155466714778389, 0.011155971100256089, 0.011156606999060735, 0.011157377377614216, 0.011158285089133134, 0.01115933286403533, 0.011160523298047507, 0.011161858837569543, 0.011163341761792709, 0.011164974161007059, 0.011166757910469387, 0.011168694639139059, 0.011170785692528197, 0.011173032088858479, 0.011175434467674369, 0.011177993030039331, 0.011180707469444195, 0.011183576892597271, 0.011186599729354251, 0.01118977363119741, 0.011193095357902978, 0.011196560652360084, 0.011200164103940839, 0.011203899001386804, 0.011207757176885408, 0.011211728843871947, 0.011215802432111167, 0.011219964424779377, 0.011224199203563608, 0.011228488909178042, 0.011232813326111035, 0.011237149801773092, 0.011241473211409225, 0.011245755981032061, 0.011249968181073405, 0.011254077703272213, 0.011258050532352504, 0.011261851122143514, 0.011265442882848118, 0.01126878878211929, 0.011271852057495301, 0.011274597031706933, 0.011276990015655826, 0.011279000276844005, 0.011280601044180435, 0.011281770513949721, 0.011282492816875749, 0.01128275890319645, 0.0112825673019404, 0.011281924712462112, 0.011280846390850136, 0.011279356300932512, 0.011277487008898331, 0.011275279311447438, 0.011272781599138722, 0.011270048968411495, 0.011267142106792262, 0.011264125985352558, 0.011261068399988706, 0.011258038408204312, 0.011255104710670432, 0.011252334027018231, 0.011249789513372173, 0.011247529265480217, 0.011245604946429469, 0.01124406057235074, 0.011242931483655075, 0.011242243523562829, 0.011242012440211528], [0.011457610854340061, 0.01145755163696679, 0.011457374128544369, 0.011457078759688086, 0.011456666246504245, 0.011456137588224381, 0.011455494063919793, 0.0114547372283217, 0.011453868906780264, 0.011452891189402226, 0.011451806424412545, 0.011450617210792222, 0.011449326390249374, 0.011447937038585706, 0.011446452456524852, 0.011444876160073496, 0.011443211870489084, 0.011441463503931104, 0.011439635160875882, 0.01143773111537625, 0.011435755804250195, 0.011433713816283074, 0.011431609881530847, 0.011429448860811656, 0.011427235735475716, 0.011424975597544695, 0.011422673640313736, 0.011420335149512531, 0.011417965495124874, 0.011415570123971033, 0.011413154553163777, 0.011410724364555978, 0.011408285200308834, 0.011405842759722309, 0.011403402797486192, 0.01140097112353048, 0.011398553604680794, 0.011396156168356295, 0.011393784808588632, 0.011391445594691121, 0.011389144682969971, 0.011386888331947859, 0.011384682921667643, 0.011382534977765328, 0.011380451201153694, 0.011378438504347867, 0.011376504055703828, 0.011374655333142025, 0.01137290018931012, 0.011371246930623779, 0.011369704413242768, 0.011368282159832092, 0.011366990501977859, 0.011365840754446462, 0.011364845429189308, 0.011364018499233786, 0.011363375725539459, 0.01136293506377558, 0.011362717173120577, 0.011362746056045789, 0.011363049867249075, 0.011363661942314775, 0.011364622113505172, 0.011365978403028424, 0.011367789215562467, 0.011370126195099759, 0.011373077971052283, 0.01137675510170106, 0.011381296638886824, 0.011386878899443082, 0.011393727254380696, 0.011402132060694424, 0.011412470294666905, 0.011425235038218464, 0.01144107576135329, 0.011460853359818115, 0.011485715118375294, 0.01151719599936521, 0.011557353380686775, 0.011608941323240314, 0.011675624897222334, 0.011762219615082706, 0.011874905909904466, 0.012021299077375451, 0.012210135362395702, 0.012450167251719404, 0.012747716795259994, 0.013102440473400095, 0.013501629504664655, 0.013915132903727657, 0.014295105874125583, 0.014584822093245946, 0.014736089774279156, 0.014727182977959387, 0.014570260505621765, 0.014303940442871865, 0.013977066807550858, 0.013633692730974586, 0.013305185798285518, 0.013009309542804461, 0.012753147925309488, 0.012536946854111582, 0.012357323042686601, 0.012209422658034565, 0.012088166223852276, 0.011988864922642077, 0.011907461624951859, 0.011840572240716248, 0.011785433797842141, 0.011739817793597548, 0.011701938221903001, 0.011670367374241342, 0.011643964016474427, 0.011621814453963767, 0.0116031852506202, 0.011587485796624091, 0.011574238896293805, 0.011563057748792871, 0.011553627962321388, 0.01154569350580055, 0.01153904573291128, 0.011533514804490828, 0.01152896298865352, 0.01152527943889993, 0.01152237614494718, 0.011520184824664988, 0.011518654583136365, 0.011517750210421741, 0.011517451026275988, 0.0115175778749419, 0.01151796006300956, 0.011518602560349304, 0.011519513797672621, 0.011520705895281213, 0.011522194998589504, 0.011524001737056774, 0.011526151830029549, 0.011528676871754932, 0.011531615339308144, 0.011535013882546592, 0.011538928976127899, 0.011543429042554048, 0.011548597195755038, 0.011554534812371575, 0.011561366221020527, 0.011569244921478811, 0.011578361926599818, 0.011588957093314063, 0.011601334730409158, 0.011615885432927391, 0.011633117156676762, 0.011653700296815981, 0.011678534493429871, 0.011708850040353998, 0.01174636605425761, 0.011793544919505565, 0.011854016422080874, 0.011933314548881921, 0.012040221165699033, 0.012189362747709929, 0.012406594966968446, 0.012741188102814648, 0.013296650197139472, 0.014320982432689328, 0.016529195294064773, 0.022615905275882323, 0.045818138699130789, 0.064585985723528166, 0.027371893204043714, 0.017469107699851265, 0.014433135884979874, 0.013179448706392644, 0.01255412530769727, 0.012201059278067155, 0.011983664197964389, 0.011840984645245287, 0.011742645584366426, 0.011672190120813589, 0.011620098074938962, 0.011580563931227507, 0.011549890674329221, 0.011525637157364521, 0.01150614117381344, 0.011490240624608695, 0.011477104210169313, 0.011466125199153255, 0.011456852834829787, 0.011448946909144607, 0.011442146995343509, 0.011436251185435335, 0.011431101127698812, 0.011426571323612446, 0.011422561356767837, 0.011418990173319184, 0.011415791819557927, 0.011412912228744845, 0.011410306773126627, 0.011407938380541454, 0.011405776072150018, 0.011403793817467412, 0.01140196963072701, 0.011400284852415942, 0.011398723574064113, 0.011397272174717478, 0.011395918945116743, 0.011394653781224324, 0.011393467932938713, 0.011392353796996183, 0.011391304745456609, 0.011390314983002718, 0.011389379427691464, 0.01138849361088845, 0.011387653592967003, 0.011386855892020951, 0.011386097423365875, 0.011385375448020801, 0.011384687528694128, 0.011384031492063853, 0.011383405396356143, 0.011382807503398694, 0.011382236254466318, 0.01138169024934986, 0.011381168228173652, 0.011380669055563073, 0.011380191706827525, 0.011379735255876015, 0.011379298864626734, 0.011378881773707392, 0.011378483294274096, 0.011378102800801392, 0.011377739724717624, 0.01137739354877787, 0.011377063802081335, 0.011376750055653893, 0.011376451918526423, 0.011376169034249595, 0.01137590107779346, 0.011375647752787075, 0.011375408789059136, 0.011375183940445965, 0.011374972982837073, 0.011374775712432707, 0.011374591944190909, 0.011374421510444297, 0.011374264259669585, 0.011374120055394689, 0.011373988775230395, 0.011373870310015305, 0.011373764563063828, 0.011373671449509045, 0.011373590895732515, 0.011373522838875163, 0.0113734672264235, 0.011373424015866824, 0.011373393174421577, 0.011373374678820013, 0.011373368515160812, 0.011373374678820016, 0.011373393174421575, 0.011373424015866824, 0.011373467226423505, 0.011373522838875171, 0.011373590895732524, 0.011373671449509055, 0.011373764563063831, 0.011373870310015296, 0.011373988775230397, 0.011374120055394689, 0.011374264259669597, 0.011374421510444299, 0.011374591944190902, 0.011374775712432703, 0.011374972982837069, 0.011375183940445972, 0.011375408789059143, 0.011375647752787071, 0.011375901077793463, 0.011376169034249598, 0.011376451918526429, 0.011376750055653896, 0.01137706380208133, 0.011377393548777868, 0.011377739724717633, 0.011378102800801392, 0.011378483294274089, 0.011378881773707395, 0.011379298864626724, 0.011379735255876018, 0.011380191706827523, 0.011380669055563078, 0.011381168228173645, 0.01138169024934987, 0.011382236254466323, 0.011382807503398698, 0.011383405396356147, 0.011384031492063853, 0.011384687528694126, 0.011385375448020806, 0.011386097423365884, 0.011386855892020946, 0.011387653592967003, 0.011388493610888457, 0.011389379427691469, 0.011390314983002716, 0.011391304745456608, 0.011392353796996185, 0.011393467932938706, 0.011394653781224322, 0.011395918945116745, 0.011397272174717477, 0.011398723574064119, 0.011400284852415942, 0.011401969630727021, 0.011403793817467405, 0.011405776072150016, 0.011407938380541461, 0.011410306773126632, 0.011412912228744848, 0.011415791819557925, 0.011418990173319186, 0.011422561356767828, 0.011426571323612446, 0.011431101127698811, 0.011436251185435332, 0.011442146995343511, 0.011448946909144607, 0.011456852834829785, 0.01146612519915325, 0.011477104210169323, 0.011490240624608695, 0.011506141173813444, 0.011525637157364509, 0.011549890674329211, 0.011580563931227465, 0.011620098074938917, 0.011672190120813561, 0.011742645584366355, 0.011840984645245294, 0.011983664197964256, 0.012201059278067012, 0.012554125307696838, 0.013179448706392136, 0.014433135884980342, 0.017469107699849468, 0.02737189320404303, 0.064585985723510694, 0.045818138699160557, 0.022615905275884366, 0.016529195294068301, 0.014320982432689573, 0.01329665019714061, 0.012741188102815123, 0.012406594966968901, 0.012189362747710304, 0.012040221165699071, 0.011933314548882074, 0.011854016422080916, 0.011793544919505603, 0.011746366054257619, 0.011708850040354039, 0.011678534493429866, 0.011653700296815988, 0.011633117156676771, 0.011615885432927377, 0.011601334730409158, 0.01158895709331405, 0.011578361926599813, 0.011569244921478808, 0.011561366221020527, 0.011554534812371571, 0.011548597195755029, 0.011543429042554055, 0.011538928976127889, 0.011535013882546597, 0.011531615339308141, 0.01152867687175493, 0.011526151830029552, 0.011524001737056771, 0.011522194998589507, 0.011520705895281215, 0.011519513797672616, 0.011518602560349299, 0.011517960063009558, 0.011517577874941896, 0.011517451026275997, 0.011517514417158141, 0.011517705007255933, 0.011518024054305074, 0.011518473672593696, 0.011519056860490047, 0.011519777539866698, 0.011520640608344459, 0.011521652005598841, 0.011522818795337977, 0.011524149264987462, 0.011525653045623328, 0.011527341255302286, 0.011529226669676446, 0.011531323924685106, 0.011533649757235453, 0.011536223291178711, 0.011539066377637608, 0.011542204000951135, 0.011545664764312073, 0.011549481472769759, 0.011553691835905681, 0.01155833931850643, 0.011563474175423642, 0.011569154717174028, 0.01157544886659485, 0.011582436085302508, 0.011590209773612338, 0.011598880281561455, 0.01160857871551201, 0.011619461790057286, 0.011631718066896319, 0.011645576053517497, 0.011661314824174004, 0.01167927810374329, 0.011699893169250693, 0.011723696551072624, 0.011751369483131626, 0.011783787572993042, 0.011822091608905405, 0.01186779044845316, 0.011922913742900767, 0.011990244107528449, 0.012073679682344874, 0.012178817864858398, 0.012313928576641179, 0.012491643938998789, 0.012732033557587832, 0.013068523152480579, 0.013560073788139894, 0.014318366776998022, 0.015574859998115666, 0.017867800981536366, 0.022643262952715217, 0.034366120026354724, 0.062874966980010841, 0.068200261499512999, 0.036982003387601797, 0.023178390367041567, 0.017807019893374174, 0.015341800523625998, 0.014039579087987374, 0.013277174005101068, 0.012795613605594445, 0.012473397769666118, 0.012247870168746367, 0.012084219484348038, 0.011961911887149478, 0.011868227455787988, 0.01179495915380965, 0.011736626545078687, 0.011689460848394645, 0.011650803727245754, 0.011618738119429092, 0.0115918543322338, 0.011569097700967654, 0.011549666917730361, 0.011532944683530456, 0.011518449474276569, 0.011505801395562804, 0.011494697621478702, 0.011484894468181061, 0.011476194134504295, 0.011468434773878385, 0.011461482976341083, 0.011455228015967753, 0.011449577406437889, 0.011444453436301447, 0.011439790445291809, 0.011435532666386005, 0.011431632503539421, 0.011428049147663768, 0.011424747457216177, 0.01142169704728717, 0.01141887154408937, 0.011416247971497932, 0.011413806243656819, 0.011411528743267164, 0.011409399969468121, 0.011407406242534127, 0.011405535455185731, 0.011403776862322374, 0.011402120902566325, 0.011400559046256392, 0.011399083665523099, 0.0113976879228702, 0.011396365675323874, 0.011395111391724111, 0.01139392008114914, 0.011392787230801248, 0.011391708751959039, 0.011390680932827614, 0.011389700397304641, 0.011388764068834201, 0.011387869138648239, 0.011387013037801484, 0.011386193412494583, 0.011385408102254144, 0.011384655120601113, 0.011383932637891064, 0.011383238966054476, 0.011382572545002754, 0.011381931930497411, 0.011381315783307182, 0.011380722859500869, 0.011380152001743818, 0.011379602131482425, 0.011379072241916366, 0.011378561391670292, 0.011377134528468629, 0.011375850314129453, 0.011374691081383529, 0.011373641816356554, 0.011372689573829246, 0.011371823033768033, 0.011371032162612878, 0.011370307953038323, 0.011369642223057677, 0.011369027460401656, 0.011368456701724972, 0.011367923438813441, 0.011367421545875698, 0.011366945223412471, 0.011366488955203133, 0.01136604747573362, 0.011365615745983359, 0.011365188935941597, 0.011364762412573863, 0.011364331732234077, 0.011363892636739347, 0.011363441052509098, 0.011362973092332473, 0.011362485059481254, 0.011361973454043418, 0.011361434981529656, 0.011360866564021254, 0.011360265354407621, 0.011359628754641009, 0.011358954439466157, 0.011358240387840926, 0.011357484925367325, 0.011356686782681971, 0.011355845177195931, 0.011354959929281821, 0.011354031629721845, 0.011353061884182355, 0.011352053674743267, 0.011351011901667499, 0.011349944206982075, 0.011348862246559739, 0.01134778369072365, 0.011346735436415414, 0.011345758889633122, 0.011344918898102139, 0.011344319358650587, 0.011344131561646351, 0.011344648099702875, 0.011346391290253412, 0.01135034677022022, 0.011358512331522373, 0.011375341007816203, 0.011412160611775137, 0.011504045688340979, 0.011801631710340422, 0.013590824809045115, 0.093691761669401019, 0.014238492513133224, 0.012219822028516077, 0.01179374101759393, 0.011631141637108471, 0.011550156260631262, 0.011503174408337752, 0.011473100209516265, 0.011452493353264908, 0.011437663822816904, 0.011426599304612976, 0.011418120200799018, 0.011411494589528712, 0.01140624696633072, 0.011402056454044254, 0.01139869947708227, 0.011396015915255553, 0.01139388830318505, 0.011392228599065437, 0.011390969512660177, 0.011390058670480702, 0.01138945459796244, 0.01138912389533903, 0.011389039215828387, 0.011389177794270938, 0.011389520360530989, 0.011390050326461816, 0.011390753170437078, 0.011391615966640284, 0.011392627021855331, 0.011393775593102637, 0.011395051666802243, 0.01139644578529494, 0.011397948910213472, 0.011399552314830561, 0.011401247499427419, 0.011403026125135685, 0.011404879962752119, 0.011406800853808232, 0.011408780681768316, 0.011410811351678228, 0.011412884776930856, 0.011414992872077333, 0.011417127550816744, 0.011419280728453583, 0.011421444328233448, 0.011423610291060813, 0.011425770588174398, 0.011427917236409631, 0.011430042315719459, 0.011432137988654325, 0.011434196521524385, 0.011436210306982289, 0.011438171887775309, 0.011440073981421496, 0.011441909505569118, 0.01144367160379996, 0.011445353671638132, 0.01144694938252681, 0.011448452713536009, 0.011449857970566097, 0.011451159812815255, 0.01145235327628248, 0.011453433796085426, 0.01145439722737996, 0.011455239864679639, 0.011455958459386417, 0.011456550235358973, 0.011457012902363704, 0.011457344667272286, 0.01145754424289218, 0.011457610854340061, 0.011457566442864494, 0.011457433334857573, 0.011457211909175211, 0.011456902795902375, 0.011456506874349714, 0.011456025270267125, 0.011455459352291988, 0.011454810727654986, 0.011454081237170616, 0.011453272949544077, 0.011452388155030052, 0.011451429358482543, 0.011450399271838097, 0.011449300806077735, 0.011448137062714856, 0.011446911324859215, 0.011445627047907171, 0.011444287849911071, 0.011442897501679853, 0.011441459916663881, 0.011439979140676564, 0.011438459341504418, 0.011436904798456726, 0.011435319891903797, 0.011433709092851624, 0.011432076952598753, 0.011430428092518414, 0.011428767194006791, 0.011427098988635597, 0.01142542824854406, 0.011423759777102522, 0.011422098399876783, 0.011420448955918759, 0.01141881628940649, 0.011417205241652578, 0.011415620643496908, 0.011414067308096883, 0.011412550024124165, 0.011411073549374255, 0.011409642604791799, 0.01140826186891114, 0.011406935972708259, 0.011405669494856985, 0.01140446695737872, 0.011403332821671225, 0.011402271484898203, 0.011401287276717168, 0.011400384456318502, 0.011399567209743545, 0.011398839647443891, 0.011398205802037568, 0.011397669626210472, 0.011397234990702882, 0.011396905682311241, 0.011396685401823717, 0.011396577761795397, 0.011396586284053311, 0.011396714396804022, 0.011396965431196379, 0.01139734261716834, 0.011397849078380397, 0.011398487826007919, 0.011399261751130256, 0.011400173615416667, 0.011401226039766739, 0.011402421490516949, 0.011403762262775268, 0.011405250460393304, 0.011406887972031378, 0.011408676442717777, 0.011410617240251655, 0.011412711415753125, 0.011414959657627895, 0.011417362238192987, 0.011419918952211642, 0.01142262904661712, 0.01142549114077767, 0.011428503136778808, 0.01143166211938795, 0.011434964245633941, 0.011438404624295061, 0.011441977186057205, 0.01144567454569256, 0.011449487858326658, 0.011453406672712489, 0.011457418785409727, 0.011461510100859464, 0.011465664503521203, 0.011469863749451721, 0.011474087385888556, 0.011478312708466724, 0.011482514766538022, 0.01148666642755038, 0.011490738511443544, 0.011494700005383985, 0.011498518367767344, 0.011502159928154836, 0.011505590386626081, 0.011508775411926603, 0.011511681332857114, 0.011514275911773937, 0.011516529183126416, 0.011518414334021333, 0.011519908598316477, 0.011520994131185016, 0.011521658827930742, 0.011521897049482324, 0.01152171021775378, 0.011521107247071047, 0.011520104783088276, 0.011518727227808483, 0.011517006538057626, 0.011514981794461678, 0.011512698547979967, 0.011510207960665229, 0.011507565765910902, 0.011504831080484971, 0.011502065105767279, 0.011499329758628525, 0.011496686273324227, 0.011494193814810698, 0.011491908141337093, 0.011489880350430909, 0.011488155737902682, 0.011486772794665142, 0.011485762361340279, 0.011485146956077495, 0.011484940286879965], [0.011678847779064415, 0.011678788036066977, 0.011678608951913243, 0.011678310960637622, 0.011677894784030205, 0.0116773614292491, 0.011676712185504508, 0.01167594861984036, 0.011675072572047029, 0.011674086148745287, 0.011672991716687601, 0.011671791895329313, 0.011670489548727672, 0.011669087776831344, 0.01166758990622779, 0.011665999480420087, 0.011664320249707889, 0.011662556160750263, 0.011660711345891205, 0.011658790112330005, 0.011656796931221351, 0.011654736426790619, 0.011652613365552419, 0.01165043264572058, 0.011648199286900049, 0.01164591842015256, 0.011643595278529657, 0.011641235188169842, 0.011638843560059607, 0.011636425882562714, 0.011633987714828455, 0.011631534681196499, 0.011629072466726722, 0.011626606813994616, 0.011624143521309107, 0.011621688442529494, 0.011619247488684223, 0.011616826631625252, 0.011614431909991145, 0.011612069437801419, 0.01160974541606488, 0.011607466147860198, 0.011605238057441007, 0.011603067714033764, 0.011600961861142562, 0.011598927452356095, 0.011596971694879882, 0.011595102102302484, 0.011593326558465074, 0.01159165339476007, 0.01159009148376423, 0.011588650352851252, 0.011587340322376391, 0.011586172674245037, 0.011585159858252415, 0.011584315745627925, 0.011583655941885969, 0.011583198174582247, 0.011582962776179115, 0.01158297328831439, 0.011583257221862096, 0.011583847017978129, 0.011584781269807894, 0.011586106284027755, 0.011587878087724181, 0.011590165021788532, 0.011593051110439415, 0.01159664046230908, 0.011601063047935952, 0.011606482319587203, 0.011613105302299838, 0.011621196001912758, 0.011631093259054001, 0.0116432345360712, 0.011658187551471954, 0.011676692133020531, 0.011699715026805495, 0.011728520393074803, 0.011764757742468119, 0.011810565947640347, 0.011868684581443011, 0.011942548687791333, 0.012036315269187605, 0.012154724475701685, 0.01230263680896799, 0.012484030680054423, 0.012700256842476384, 0.012947551764167918, 0.013214346702855746, 0.01347972260830977, 0.013714912923027045, 0.013889051886978416, 0.013977936944281512, 0.013971838266743924, 0.013878089143883063, 0.013717268064996714, 0.013515657185950134, 0.013298050552431362, 0.013083479873883433, 0.012884098451067874, 0.012706103845792894, 0.012551431436583195, 0.012419397931981319, 0.012307955707715063, 0.012214518335575873, 0.012136442776523017, 0.012071277116569008, 0.01201686448565248, 0.011971366493608204, 0.011933246054968014, 0.011901232834370992, 0.011874283911025104, 0.011851545927370595, 0.011832321425674834, 0.011816040187097485, 0.01180223545858978, 0.011790524550939437, 0.011780593164710687, 0.011772182808777449, 0.011765080742442504, 0.011759111957396904, 0.0117541328008998, 0.011750025918299083, 0.011746696258689042, 0.011744067942137257, 0.011742081831713273, 0.011740693690122083, 0.011739872830724567, 0.011739601197630477, 0.011739718532857261, 0.011740071986729659, 0.011740665940382519, 0.011741507819212337, 0.011742608283999447, 0.011743981510632521, 0.01174564557162166, 0.011747622937948459, 0.0117499411265843, 0.011752633527817139, 0.011755740458205871, 0.011759310500725576, 0.011763402215208944, 0.011768086332065662, 0.011773448584253055, 0.011779593392292505, 0.011786648703546121, 0.011794772413681856, 0.011804160987011621, 0.011815061178415404, 0.011827786201102579, 0.011842738379998672, 0.011860441450798398, 0.011881587513761111, 0.011907106787249638, 0.011938273787994514, 0.01197687347970596, 0.01202546956639515, 0.012087853702645233, 0.012169829990386023, 0.012280654778060698, 0.012435840914478994, 0.012663029485239424, 0.013015444027433544, 0.013606486911505466, 0.014713356588561211, 0.017159530234919642, 0.024193706505856661, 0.051953741093783964, 0.059455991786703598, 0.025395641671533405, 0.017032974333197802, 0.014379009047820515, 0.013256427584311711, 0.012687926323932149, 0.012363721454696702, 0.01216273452240591, 0.012030196848696975, 0.011938542346064181, 0.01187272194540745, 0.011823978182858935, 0.011786945567212293, 0.011758194437881186, 0.011735453297656847, 0.011717171637211685, 0.011702263270034539, 0.011689949931230017, 0.011679662847433811, 0.011670979015409427, 0.011663578908354707, 0.011657217774639024, 0.011651705769877369, 0.011646893955509073, 0.011642664270578152, 0.011638922242670765, 0.011635591618065322, 0.011632610356657816, 0.011629927610687775, 0.011627501421585378, 0.011625296947120837, 0.011623285084392483, 0.011621441391253783, 0.011619745234852853, 0.011618179114516925, 0.011616728119571179, 0.011615379492392348, 0.011614122274128129, 0.011612947015795221, 0.011611845541416215, 0.011610810752828656, 0.011609836468056441, 0.011608917286859043, 0.011608048478402376, 0.011607225887023918, 0.011606445852867412, 0.011605705144791043, 0.011605000903449731, 0.011604330592844894, 0.011603691958948899, 0.011603082994262482, 0.011602501907364747, 0.011601947096679433, 0.011601417127812633, 0.011600910713925983, 0.011600426698696806, 0.011599964041490017, 0.011599521804425595, 0.011599099141075675, 0.011598695286565546, 0.011598309548887891, 0.011597941301267265, 0.011597589975436522, 0.011597255055706614, 0.011596936073727948, 0.011596632603856485, 0.011596344259049185, 0.01159607068722412, 0.011595811568029369, 0.01159556660997218, 0.011595335547866315, 0.011595118140561271, 0.011594914168921439, 0.0115947234340277, 0.011594545755577376, 0.011594380970461511, 0.01159422893150113, 0.011594089506326656, 0.011593962576386379, 0.011593848036072076, 0.011593745791951052, 0.01159365576209574, 0.011593577875502704, 0.011593512071594659, 0.011593458299799627, 0.011593416519202412, 0.011593386698264693, 0.011593368814610374, 0.011593362854873999, 0.011593368814610375, 0.011593386698264695, 0.011593416519202412, 0.011593458299799625, 0.011593512071594668, 0.011593577875502711, 0.011593655762095749, 0.011593745791951054, 0.011593848036072068, 0.011593962576386381, 0.011594089506326658, 0.011594228931501138, 0.011594380970461513, 0.011594545755577376, 0.011594723434027692, 0.011594914168921432, 0.011595118140561276, 0.011595335547866318, 0.011595566609972175, 0.011595811568029369, 0.011596070687224123, 0.011596344259049193, 0.011596632603856492, 0.011596936073727943, 0.011597255055706614, 0.011597589975436527, 0.01159794130126726, 0.011598309548887886, 0.011598695286565553, 0.011599099141075663, 0.011599521804425601, 0.011599964041490015, 0.011600426698696811, 0.01160091071392598, 0.011601417127812643, 0.011601947096679438, 0.011602501907364754, 0.011603082994262486, 0.011603691958948902, 0.011604330592844891, 0.011605000903449734, 0.011605705144791048, 0.011606445852867403, 0.011607225887023918, 0.011608048478402383, 0.01160891728685905, 0.011609836468056437, 0.011610810752828655, 0.011611845541416222, 0.011612947015795218, 0.011614122274128127, 0.011615379492392351, 0.011616728119571179, 0.01161817911451693, 0.01161974523485285, 0.011621441391253793, 0.011623285084392478, 0.011625296947120837, 0.011627501421585385, 0.01162992761068778, 0.011632610356657818, 0.01163559161806532, 0.011638922242670763, 0.011642664270578147, 0.011646893955509073, 0.011651705769877363, 0.011657217774639028, 0.011663578908354707, 0.011670979015409425, 0.011679662847433808, 0.011689949931230015, 0.011702263270034549, 0.011717171637211681, 0.011735453297656852, 0.011758194437881175, 0.011786945567212281, 0.011823978182858888, 0.011872721945407401, 0.011938542346064143, 0.01203019684869688, 0.012162734522405924, 0.012363721454696538, 0.012687926323931974, 0.013256427584311028, 0.014379009047819555, 0.01703297433319885, 0.025395641671525207, 0.059455991786699781, 0.051953741093804268, 0.024193706505864918, 0.017159530234920371, 0.014713356588562949, 0.013606486911505589, 0.013015444027434238, 0.012663029485239721, 0.012435840914479294, 0.012280654778060968, 0.012169829990386046, 0.012087853702645356, 0.012025469566395174, 0.011976873479705987, 0.011938273787994518, 0.011907106787249672, 0.011881587513761106, 0.011860441450798407, 0.011842738379998673, 0.011827786201102562, 0.011815061178415404, 0.011804160987011611, 0.011794772413681849, 0.011786648703546114, 0.011779593392292507, 0.011773448584253058, 0.011768086332065653, 0.011763402215208951, 0.011759310500725572, 0.011755740458205873, 0.011752633527817141, 0.011749941126584298, 0.011747622937948465, 0.011745645571621659, 0.011743981510632521, 0.011742608283999449, 0.011741507819212335, 0.011740665940382516, 0.011740071986729654, 0.011739718532857261, 0.011739601197630485, 0.011739659835792875, 0.01173983611914301, 0.011740131158776144, 0.011740546821637013, 0.011741085753545204, 0.011741751412135661, 0.01174254811044792, 0.01174348107214945, 0.011744556499665571, 0.011745781656820487, 0.011747164967985713, 0.011748716136199554, 0.011750446283285344, 0.011752368115683287, 0.011754496120554006, 0.011756846797755858, 0.011759438934597286, 0.01176229393189498, 0.011765436191923499, 0.011768893581451887, 0.011772697986396611, 0.011776885978910188, 0.011781499623279517, 0.011786587454255301, 0.011792205670958743, 0.011798419602128589, 0.011805305515325673, 0.011812952865422294, 0.01182146710859455, 0.011830973250469914, 0.011841620355994509, 0.011853587331299913, 0.011867090405399251, 0.011882392908774827, 0.011899818192987324, 0.011919766901609912, 0.011942740354421503, 0.011969372652669751, 0.01200047543560759, 0.012037101330062815, 0.012080635585807581, 0.012132931176392543, 0.012196512629774987, 0.012274891638044043, 0.012373070329135297, 0.012498371204956371, 0.012661859839424035, 0.012880896289680432, 0.013183960723657432, 0.013620379203664181, 0.014281494106768058, 0.015351316160293033, 0.01724274631691361, 0.021019315921276642, 0.029886198682350127, 0.053225846648425237, 0.076619442190023562, 0.045027163198286396, 0.026146309297762405, 0.019122246585208884, 0.016073936677165945, 0.0145286347847932, 0.013650478034516944, 0.01310802545227566, 0.012751273313799062, 0.012504989688477675, 0.012328286139040032, 0.012197469521560651, 0.012098076693606423, 0.012020890151866167, 0.0119598190003868, 0.011910712473112872, 0.011870665902484376, 0.011837599179493683, 0.011809992210791743, 0.011786714074153272, 0.011766909854950488, 0.011749923980232703, 0.011735247219772277, 0.011722479375546298, 0.011711302579520452, 0.0117014618950982, 0.011692751030328293, 0.011685001682966281, 0.011678075501809883, 0.011671857956855285, 0.011666253618605909, 0.011661182489077328, 0.011656577125723834, 0.01165238036886756, 0.011648543532540427, 0.011645024954126842, 0.011641788823978013, 0.011638804235090155, 0.011636044406952713, 0.011633486048142743, 0.011631108830126769, 0.011628894950717625, 0.011626828770210172, 0.011624896506743164, 0.01162308598016566, 0.011621386395815645, 0.011619788161289227, 0.011618282730596832, 0.011616862471148182, 0.011615520549841676, 0.011614250835201245, 0.011613047813042097, 0.011611906513581138, 0.011610822448261126, 0.011609791554845848, 0.011608810149579438, 0.011607874885396623, 0.01160698271533106, 0.011606130860400986, 0.011605316781361794, 0.011604538153806545, 0.011603792846172502, 0.011603078900275763, 0.011602394514050492, 0.011601738026214718, 0.011601107902623411, 0.01160050272410235, 0.011599921175584033, 0.011599362036390932, 0.011598824171531246, 0.011598306523890324, 0.011597808107215351, 0.011596419315159978, 0.011595173688973368, 0.011594052938834837, 0.01159304160647827, 0.011592126429452799, 0.011591295861472523, 0.011590539707833433, 0.011589848846547304, 0.011589215013952808, 0.011588630639268127, 0.011588088716608188, 0.011587582705908624, 0.011587106456318295, 0.01158665414717658, 0.011586220242840881, 0.011585799458487589, 0.011585386734654653, 0.011584977218784409, 0.01158456625240204, 0.011584149362859225, 0.011583722258807133, 0.01158328082875747, 0.011582821142258762, 0.011582339453372621, 0.011581832206295129, 0.011581296043147411, 0.011580727814176187, 0.011580124590886386, 0.011579483683009184, 0.011578802660743993, 0.011578079384481434, 0.011577312045337162, 0.011576499221492398, 0.011575639957844119, 0.011574733880293328, 0.011573781361924778, 0.011572783767655555, 0.011571743818857699, 0.011570666143820929, 0.011569558120518525, 0.011568431187395532, 0.011567302919161079, 0.011566200383201001, 0.011565165699662001, 0.01156426551664448, 0.011563607704754756, 0.011563371958431842, 0.01156386861185313, 0.011565658384348388, 0.011569814165164886, 0.01157854729680367, 0.011596893174323504, 0.011638040938401805, 0.011744672235009013, 0.012115084227485055, 0.014821727051244364, 0.051996274020876365, 0.013775525084537799, 0.012330931018784583, 0.011978175637966427, 0.011835458407117099, 0.011762058599671265, 0.011718598569323261, 0.011690381575448239, 0.011670845337278033, 0.011656674849250027, 0.011646036970113167, 0.011637845325925314, 0.011631419865004102, 0.011626315549962393, 0.011622230215894635, 0.011618952217476698, 0.011616329285694511, 0.011614249263997756, 0.011612627785184387, 0.011611400154330456, 0.011610515863184314, 0.011609934797876659, 0.011609624563855701, 0.011609558564653054, 0.011609714599669248, 0.01161007382592694, 0.011610619979375132, 0.011611338784158534, 0.011612217499965535, 0.011613244572164883, 0.011614409359420548, 0.011615701920398373, 0.011617112846050714, 0.011618633127436618, 0.011620254051539103, 0.01162196711936659, 0.011623763981969988, 0.011625636391007112, 0.011627576161235479, 0.011629575142881652, 0.011631625202266078, 0.011633718209392704, 0.011635846031465991, 0.011638000531493949, 0.011640173571286692, 0.01164235701827685, 0.011644542755678127, 0.01164672269556729, 0.011648888794526765, 0.011651033071525058, 0.011653147627740444, 0.011655224668054491, 0.011657256523956333, 0.011659235677608173, 0.011661154786828, 0.011663006710749168, 0.011664784535917639, 0.011666481602588236, 0.011668091530981585, 0.011669608247264023, 0.011671026009013971, 0.011672339429941649, 0.011673543503632155, 0.0116746336260898, 0.011675605616868761, 0.011676455738586817, 0.011677180714631717, 0.01167777774488523, 0.011678244519308425, 0.011678579229250908, 0.01167878057636936, 0.011678847779064415, 0.011678802973392377, 0.0116786686839118, 0.011678445292822392, 0.011678133435770734, 0.011677733999829855, 0.01167724812068916, 0.011676677179072529, 0.0116760227964077, 0.011675286829774398, 0.011674471366163026, 0.011673578716079875, 0.011672611406538285, 0.011671572173478547, 0.011670463953662077, 0.011669289876087782, 0.01166805325298083, 0.011666757570404722, 0.0116654064785497, 0.01166400378175006, 0.011662553428283758, 0.011661059500007209, 0.011659526201877157, 0.011657957851411252, 0.011656358868136282, 0.011654733763072349, 0.011653087128298665, 0.011651423626644251, 0.011649747981544358, 0.011648064967100634, 0.011646379398380114, 0.011644696121984779, 0.011643020006920699, 0.011641355935791641, 0.011639708796339777, 0.01163808347335173, 0.011636484840945135, 0.011634917755247762, 0.011633387047477274, 0.011631897517426474, 0.011630453927355537, 0.011629060996288972, 0.011627723394711674, 0.011626445739654665, 0.011625232590157363, 0.011624088443089507, 0.011623017729311059, 0.011622024810144762, 0.011621113974130234, 0.011620289434023712, 0.011619555324001163, 0.011618915697015663, 0.011618374522252303, 0.011617935682614934, 0.011617602972168897, 0.011617380093452085, 0.011617270654553487, 0.01161727816584263, 0.011617406036215677, 0.011617657568703891, 0.011618035955266653, 0.011618544270565532, 0.011619185464486387, 0.011619962353143649, 0.011620877608064982, 0.011621933743214938, 0.011623133099473978, 0.011624477826144241, 0.011625969859007381, 0.011627610894413557, 0.011629402358836272, 0.011631345373288082, 0.011633440711960753, 0.011635688754434607, 0.01163808943080095, 0.011640642159066581, 0.011643345774266844, 0.011646198448814999, 0.011649197603770325, 0.01165233981092745, 0.011655620685927634, 0.011659034772980855, 0.011662575422276918, 0.011666234661762694, 0.011670003065675841, 0.011673869623050115, 0.011677821610333932, 0.011681844473268737, 0.011685921724222155, 0.011690034862209597, 0.01169416332379746, 0.011698284473873497, 0.011702373645792062, 0.011706404240537331, 0.011710347894177107, 0.011714174721886919, 0.011717853645114011, 0.011721352805957683, 0.011724640069557058, 0.011727683611246395, 0.011730452580594611, 0.011732917829398263, 0.011735052685536096, 0.011736833749677107, 0.011738241687559346, 0.011739261987330924, 0.01173988564963975, 0.011740109778067635, 0.011739938039304856, 0.011739380966176509, 0.011738456082125126, 0.011737187832721249, 0.011735607317777329, 0.011733751826139447, 0.011731664183647482, 0.011729391932519175, 0.01172698636703381, 0.011724501455495752, 0.01172199268181992, 0.011719515841642348, 0.011717125827709859, 0.0117148754376682, 0.011712814234560489, 0.011710987486735611, 0.011709435209817229, 0.011708191329240175, 0.011707282977894416, 0.01170672993982047, 0.011706544247773282], [0.011880678785131479, 0.011880618608521061, 0.011880438224453133, 0.011880138069732702, 0.011879718870755283, 0.011879181641101013, 0.011878527678193519, 0.011877758559049557, 0.011876876135153336, 0.011875882526496089, 0.011874780114827385, 0.011873571536171348, 0.011872259672666259, 0.011870847643790731, 0.011869338797044635, 0.011867736698156873, 0.011866045120895461, 0.011864268036558366, 0.011862409603226593, 0.011860474154862398, 0.011858466190338162, 0.011856390362482127, 0.011854251467229621, 0.011852054432968539, 0.011849804310170103, 0.011847506261397283, 0.01184516555178463, 0.011842787540086872, 0.011840377670395863, 0.011837941464630426, 0.011835484515909605, 0.011833012482926389, 0.011830531085449689, 0.011828046101093989, 0.011825563363511893, 0.01182308876218428, 0.011820628244007578, 0.011818187816908209, 0.011815773555752085, 0.011813391610864822, 0.011811048219536432, 0.011808749720957022, 0.011806502575120219, 0.011804313386342399, 0.011802188932185121, 0.011800136198740941, 0.011798162423459237, 0.011796275146959467, 0.011794482275619616, 0.011792792157156935, 0.011791213671961155, 0.01178975634363006, 0.011788430473037133, 0.011787247301387008, 0.011786219209161616, 0.011785359959727959, 0.011784684998799215, 0.011784211824090016, 0.011783960443621429, 0.011783953946526628, 0.011784219217309483, 0.011784787833887167, 0.011785697202170136, 0.011786991996428485, 0.011788725996633668, 0.011790964443168454, 0.011793787068142375, 0.011797292014084507, 0.011801600918791606, 0.011806865534020329, 0.011813276360184755, 0.011821073922961669, 0.011830563490801239, 0.011842134225656652, 0.011856283943420073, 0.011873650765244253, 0.011895052817567689, 0.011921536497130148, 0.011954432126675549, 0.011995412180684875, 0.012046540244938612, 0.012110286593147685, 0.012189466916597266, 0.01228703456587968, 0.012405630447811903, 0.012546789443283055, 0.012709760156511318, 0.012890071953992603, 0.013078300710120085, 0.013259828663143833, 0.013416443382848718, 0.013530004372096076, 0.013587174438754276, 0.013583180877031415, 0.013522774779661031, 0.013418073386892264, 0.013284620785722475, 0.013137555630967728, 0.012989134479207454, 0.012847838266417271, 0.012718619457714497, 0.012603691810191558, 0.012503415045431163, 0.012417043595764092, 0.012343269932565773, 0.01228057773717374, 0.012227450022695777, 0.012182478598824414, 0.012144411853825679, 0.012112166785878922, 0.01208482203509441, 0.012061602072793229, 0.012041858353758607, 0.012025050531106161, 0.012010729229191677, 0.011998520962304355, 0.011988115301096357, 0.011979254149166438, 0.011971722891149649, 0.011965343146973565, 0.011959966877613554, 0.011955471614999562, 0.01195175662155507, 0.011948739817541633, 0.011946355344370801, 0.011944551658431743, 0.01194329007273125, 0.011942543683136351, 0.011942296632808398, 0.011942405471463273, 0.011942733271673257, 0.011943283917010581, 0.011944063984205696, 0.011945082904030539, 0.011946353196297313, 0.011947890789527115, 0.011949715440076562, 0.01195185127082277, 0.011954327456346298, 0.011957179090538575, 0.011960448284564905, 0.011964185559382225, 0.011968451619349459, 0.011973319624534656, 0.011978878123089167, 0.011985234867532807, 0.011992521829231027, 0.012000901858213798, 0.012010577633839606, 0.012021803853069278, 0.01203490406933853, 0.012050294331474379, 0.012068516961894907, 0.012090289783870332, 0.012116579462445034, 0.012148713513692209, 0.012188556242247742, 0.012238794101684623, 0.012303415970450005, 0.012388557095239113, 0.012504059547319018, 0.012666539246688244, 0.012905881281068494, 0.013280341220603188, 0.013916132449384918, 0.015129184924908031, 0.01789215811828376, 0.02625449420303887, 0.05977691853513567, 0.052685355008386683, 0.023529720551688747, 0.016601461482371273, 0.014310701198980173, 0.013315611407564168, 0.012803120926491159, 0.012507579651018343, 0.012322949335192079, 0.012200535144487521, 0.012115551748403295, 0.012054351654213308, 0.012008939564642884, 0.011974390727091676, 0.01194754362264578, 0.011926296996277124, 0.011909212421925559, 0.011895279851390203, 0.011883774168515103, 0.011874164598457741, 0.011866055885655681, 0.01185914915079102, 0.011853215267802567, 0.011848076398444431, 0.011843592956935755, 0.011839654259689298, 0.011836171720125282, 0.011833073829564451, 0.011830302410026959, 0.011827809785044585, 0.011825556621327034, 0.011823510266321202, 0.011821643456253783, 0.011819933303716439, 0.011818360498131281, 0.011816908669736352, 0.011815563880194842, 0.011814314212004273, 0.011813149435547331, 0.011812060737569166, 0.011811040498561491, 0.011810082109320089, 0.011809179819057802, 0.01180832860907406, 0.011807524087228077, 0.011806762399429637, 0.011806040155114456, 0.011805354364262818, 0.011804702383985963, 0.011804081873075033, 0.011803490753202032, 0.011802927175698065, 0.011802389493024619, 0.011801876234206726, 0.011801386083621919, 0.011800917862640056, 0.011800470513692683, 0.011800043086418299, 0.011799634725586891, 0.011799244660552875, 0.011798872196024948, 0.011798516703972941, 0.011798177616519068, 0.011797854419683377, 0.011797546647871769, 0.011797253879011768, 0.01179697573025364, 0.011796711854166749, 0.011796461935370386, 0.011796225687546499, 0.011796002850789026, 0.011795793189250597, 0.011795596489052266, 0.011795412556426809, 0.011795241216069778, 0.011795082309675749, 0.011794935694640392, 0.011794801242911294, 0.01179467883997262, 0.011794568383951065, 0.011794469784831549, 0.011794382963773435, 0.011794307852518561, 0.011794244392884351, 0.011794192536335832, 0.011794152243631483, 0.011794123484538918, 0.011794106237617077, 0.01179410049006238, 0.011794106237617081, 0.01179412348453892, 0.011794152243631482, 0.011794192536335834, 0.011794244392884359, 0.011794307852518567, 0.011794382963773446, 0.011794469784831549, 0.01179456838395106, 0.011794678839972624, 0.011794801242911289, 0.011794935694640402, 0.011795082309675745, 0.011795241216069776, 0.011795412556426806, 0.011795596489052261, 0.011795793189250602, 0.011796002850789029, 0.011796225687546496, 0.011796461935370388, 0.011796711854166758, 0.011796975730253643, 0.011797253879011768, 0.011797546647871762, 0.011797854419683371, 0.011798177616519074, 0.011798516703972941, 0.011798872196024945, 0.011799244660552878, 0.011799634725586882, 0.011800043086418304, 0.011800470513692684, 0.011800917862640059, 0.011801386083621909, 0.011801876234206731, 0.011802389493024623, 0.011802927175698065, 0.011803490753202035, 0.011804081873075033, 0.01180470238398596, 0.011805354364262822, 0.01180604015511446, 0.011806762399429627, 0.011807524087228077, 0.011808328609074065, 0.011809179819057811, 0.011810082109320087, 0.011811040498561493, 0.011812060737569166, 0.011813149435547326, 0.011814314212004269, 0.011815563880194844, 0.011816908669736354, 0.011818360498131286, 0.011819933303716435, 0.011821643456253788, 0.011823510266321198, 0.011825556621327032, 0.011827809785044593, 0.011830302410026966, 0.011833073829564453, 0.011836171720125278, 0.011839654259689299, 0.011843592956935749, 0.011848076398444429, 0.011853215267802567, 0.011859149150791014, 0.011866055885655683, 0.011874164598457736, 0.011883774168515099, 0.0118952798513902, 0.011909212421925568, 0.011926296996277124, 0.011947543622645785, 0.011974390727091664, 0.01200893956464287, 0.012054351654213244, 0.012115551748403227, 0.012200535144487473, 0.012322949335191945, 0.012507579651018355, 0.012803120926490889, 0.01331561140756387, 0.014310701198978999, 0.016601461482369524, 0.023529720551691367, 0.052685355008359053, 0.059776918535139431, 0.026254494203044355, 0.017892158118286351, 0.015129184924908199, 0.013916132449385792, 0.013280341220603249, 0.01290588128106893, 0.012666539246688445, 0.012504059547319226, 0.012388557095239313, 0.012303415970450031, 0.012238794101684722, 0.012188556242247765, 0.012148713513692228, 0.012116579462445041, 0.012090289783870369, 0.012068516961894904, 0.012050294331474389, 0.012034904069338534, 0.012021803853069269, 0.012010577633839607, 0.012000901858213784, 0.011992521829231023, 0.011985234867532802, 0.011978878123089171, 0.011973319624534655, 0.011968451619349446, 0.01196418555938223, 0.011960448284564894, 0.01195717909053858, 0.011954327456346297, 0.01195185127082277, 0.011949715440076569, 0.011947890789527115, 0.011946353196297315, 0.011945082904030541, 0.011944063984205694, 0.011943283917010574, 0.011942733271673254, 0.011942405471463271, 0.011942296632808403, 0.011942351026066585, 0.011942514533596108, 0.011942788142462883, 0.01194317351052547, 0.011943672985836828, 0.011944289634373172, 0.011945027276678632, 0.011945890534214385, 0.011946884886428642, 0.011948016739825248, 0.011949293510615293, 0.011950723722900012, 0.011952317124769398, 0.011954084825228918, 0.011956039455510766, 0.011958195359117702, 0.011960568815926286, 0.011963178306895278, 0.011966044827450653, 0.011969192259542398, 0.011972647814805457, 0.01197644256436854, 0.011980612074847439, 0.011985197175223039, 0.01199024488602507, 0.011995809551056693, 0.012001954223544286, 0.012008752374117948, 0.012016290008890146, 0.012024668314196029, 0.012034006983316024, 0.012044448434139375, 0.012056163201788234, 0.012069356896511891, 0.012084279269604543, 0.012101236151743192, 0.012120605355195253, 0.0121428581217, 0.012168588445878127, 0.012198553766941313, 0.01223373236705097, 0.012275405810792483, 0.012325279747305103, 0.012385664931005964, 0.012459755380361013, 0.012552068120156946, 0.012669161262086406, 0.01282085112106859, 0.013022366466722087, 0.013298360556276239, 0.013690849883040248, 0.01427611588380135, 0.015204067077062842, 0.016800694909334352, 0.019873838487216411, 0.026772641982837166, 0.045004094946616176, 0.077733973445123367, 0.054840793684451647, 0.029791991193032785, 0.020615803812572785, 0.016851009742007081, 0.015021904542549322, 0.014013684741456417, 0.013404761271365128, 0.013011146798633541, 0.012743105568261125, 0.012552922389909148, 0.012413429998149556, 0.012308281837106846, 0.012227184769567802, 0.012163406284710252, 0.012112398553774271, 0.012071003340144425, 0.01203697415266625, 0.012008679122327597, 0.011984910673214822, 0.011964760362729213, 0.011947534636971088, 0.011932696932563177, 0.011919827133066722, 0.011908592693205319, 0.011898727754267022, 0.01189001782567012, 0.011882288403795927, 0.011875396415541228, 0.011869223714975166, 0.01186367209032259, 0.011858659394443326, 0.011854116519753599, 0.011849985014000881, 0.011846215186789098, 0.011842764595091626, 0.011839596823766368, 0.01183668049741236, 0.011833988474919706, 0.011831497189250074, 0.011829186103389842, 0.011827037259781986, 0.011825034905397807, 0.01182316517833982, 0.011821415844751793, 0.01181977607705726, 0.011818236266305879, 0.011816787862791606, 0.011815423240203011, 0.01181413557943858, 0.011812918768918379, 0.011811767318784154, 0.011810676286833433, 0.011809641214400512, 0.01180865807069675, 0.011807723204367073, 0.011806833301220903, 0.011805985347260951, 0.011805176596270565, 0.011804404541333698, 0.011803666889756386, 0.011802961540937429, 0.011802286566802409, 0.011801640194470714, 0.011801020790872042, 0.011800426849068735, 0.01179985697607364, 0.011799309881982, 0.011798784370259781, 0.011798279329052223, 0.011797793723393497, 0.011796444181414206, 0.011795238343220207, 0.011794157252978674, 0.011793184981286453, 0.011792307933019186, 0.011791514327871674, 0.011790793807449296, 0.011790137136101411, 0.011789535971890672, 0.011788982690526357, 0.011788470249641509, 0.011787992084049672, 0.011787542024969054, 0.011787114237918351, 0.011786703175251368, 0.011786303540235613, 0.011785910260282164, 0.011785518467465499, 0.011785123484877648, 0.011784720817676148, 0.011784306147934683, 0.011783875332610116, 0.01178342440411503, 0.011782949573147577, 0.011782447233593242, 0.011781913969494269, 0.011781346564300464, 0.011780742012897683, 0.011780097537294641, 0.011779410607389311, 0.011778678969016201, 0.011777900682620159, 0.011777074177608303, 0.011776198330010465, 0.01177527257503184, 0.011774297072233379, 0.011773272950802657, 0.011772202678028329, 0.011771090619761974, 0.011769943904660331, 0.011768773777788715, 0.011767597759148849, 0.011766443158589173, 0.011765352941315612, 0.011764395801775246, 0.011763684063939114, 0.011763406802820401, 0.011763894189239383, 0.011765750139514621, 0.01177014670467638, 0.011779541674101966, 0.011799657678400043, 0.011845955078288326, 0.011970914957743257, 0.012440945300874378, 0.016849753344275353, 0.029518751138587214, 0.013517895088981196, 0.012444096462193471, 0.012148246425668967, 0.012022156950903006, 0.011955370813876364, 0.011915065917781168, 0.011888545645379809, 0.011870002423692495, 0.011856450785848561, 0.011846217721124824, 0.011838301303408688, 0.011832068993563132, 0.011827103925723607, 0.011823121378957363, 0.011819920909903867, 0.011817357669251766, 0.011815324547251076, 0.011813740689168831, 0.011812543893809842, 0.011811685454178229, 0.011811126576977398, 0.011810835848182502, 0.011810787407118609, 0.011810959610041654, 0.011811334038077883, 0.011811894751449394, 0.011812627722542509, 0.011813520400686036, 0.011814561375209819, 0.011815740112749279, 0.011817046751296868, 0.011818471938111925, 0.011820006701892222, 0.011821642351990191, 0.011823370399195085, 0.011825182493884959, 0.011827070378308057, 0.011829025850470746, 0.011831040737652527, 0.011833106877982332, 0.011835216108827904, 0.01183736026099338, 0.011839531157909408, 0.011841720619145128, 0.011843920467683971, 0.011846122540491968, 0.011848318701973585, 0.011850500859959952, 0.011852660983912747, 0.011854791125053882, 0.011856883438151299, 0.011858930204704349, 0.011860923857281451, 0.011862857004767205, 0.011864722458279497, 0.011866513257517836, 0.011868222697304146, 0.011869844354077431, 0.01187137211210396, 0.011872800189165648, 0.011874123161492434, 0.011875335987707599, 0.01187643403156261, 0.011877413083245325, 0.011878269379056873, 0.01187899961926564, 0.01187960098396205, 0.011880071146756585, 0.011880408286182776, 0.011880611094689556, 0.011880678785131479, 0.011880633654268972, 0.011880498390141716, 0.011880273377720857, 0.011879959257262734, 0.011879556922274614, 0.011879067516685342, 0.011878492431238896, 0.011877833299134138, 0.011877091990938414, 0.011876270608807039, 0.011875371480044901, 0.011874397150049936, 0.011873350374681449, 0.011872234112099282, 0.01187105151412193, 0.01186980591715427, 0.01186850083273599, 0.011867139937764202, 0.011865727064443025, 0.011864266190013868, 0.011862761426319521, 0.011861217009254257, 0.01185963728815163, 0.011858026715159299, 0.011856389834649022, 0.011854731272707787, 0.011853055726753209, 0.011851367955314026, 0.011849672768013563, 0.011847975015791035, 0.011846279581392172, 0.01184459137015768, 0.011842915301134153, 0.011841256298529255, 0.011839619283528852, 0.011838009166490384, 0.011836430839523585, 0.011834889169465504, 0.011833388991253387, 0.01183193510169556, 0.011830532253636306, 0.011829185150507404, 0.011827898441254736, 0.011826676715624733, 0.011825524499790949, 0.01182444625229667, 0.01182344636028475, 0.011822529135980487, 0.011821698813387732, 0.011820959545151994, 0.011820315399537044, 0.011819770357453584, 0.011819328309469197, 0.011818993052718356, 0.01181876828761933, 0.011818657614291217, 0.011818664528548569, 0.011818792417333574, 0.011819044553425598, 0.011819424089245131, 0.011819934049543951, 0.011820577322745079, 0.01182135665066472, 0.011822274616314915, 0.011823333629448646, 0.011824535909471207, 0.011825883465301458, 0.011827378071726836, 0.011829021241757869, 0.011830814194453101, 0.01183275781765736, 0.011834852625078988, 0.011837098707128849, 0.011839495674962347, 0.011842042597211562, 0.011844737928976012, 0.011847579432766714, 0.011850564091279108, 0.011853688012116269, 0.011856946324905523, 0.011860333071659018, 0.011863841091729405, 0.011867461903311069, 0.01187118558413427, 0.011875000654787972, 0.011878893968969821, 0.011882850615871715, 0.011886853840825743, 0.011890884991202328, 0.011894923495298753, 0.011898946882497504, 0.011902930853213086, 0.011906849406979371, 0.01191067503635776, 0.011914378993077162, 0.011917931630887569, 0.011921302826988847, 0.011924462480613018, 0.011927381083472773, 0.011930030352500214, 0.011932383910811023, 0.011934417998425435, 0.011936112190292059, 0.011937450095940326, 0.011938420012968475, 0.011939015505838858, 0.011939235882295849, 0.011939086542223153, 0.011938579177855128, 0.01193773180975379, 0.011936568649528589, 0.011935119787483418, 0.01193342071073588, 0.011931511664372651, 0.011929436874424377, 0.011927243656491043, 0.01192498143747197, 0.011922700719930509, 0.011920452019171093, 0.011918284802264046, 0.011916246456257527, 0.011914381309963749, 0.011912729730324211, 0.011911327310757867, 0.011910204165356699, 0.011909384339525131, 0.011908885344805832, 0.0119087178232547], [0.012064800247626841, 0.012064739718277488, 0.01206455827672712, 0.012064256361980781, 0.012063834704090679, 0.012063294321735347, 0.012062636518857823, 0.012061862880389067, 0.012060975267090861, 0.012059975809559087, 0.012058866901434248, 0.012057651191872899, 0.012056331577338902, 0.012054911192778288, 0.012053393402246376, 0.012051781789059907, 0.012050080145550196, 0.012048292462496384, 0.012046422918320842, 0.012044475868130273, 0.01204245583268857, 0.012040367487408188, 0.012038215651449207, 0.012036005277015351, 0.012033741438938346, 0.01203142932464339, 0.012029074224589825, 0.012026681523284366, 0.01202425669096675, 0.012021805276072052, 0.012019332898579971, 0.012016845244367667, 0.012014348060693019, 0.01201184715294662, 0.012009348382826111, 0.012006857668105182, 0.012004380984194034, 0.012001924367717173, 0.011999493922371336, 0.011997095827372422, 0.011994736348856288, 0.011992421854668346, 0.011990158833063445, 0.011987953915944352, 0.011985813907400155, 0.011983745818470636, 0.01198175690926832, 0.011979854739846304, 0.011978047231521152, 0.011976342740763798, 0.011974750148279669, 0.011973278966542367, 0.011971939469860981, 0.011970742852100601, 0.011969701418502982, 0.011968828819758286, 0.011968140338671182, 0.011967653242596261, 0.011967387218487077, 0.011967364912171572, 0.01196761259967947, 0.011968161026560604, 0.011969046461742905, 0.011970312026363637, 0.011972009376168885, 0.011974200839782918, 0.011976962145962854, 0.011980385912714039, 0.011984586121839539, 0.011989703865937723, 0.011995914731888309, 0.012003438273768242, 0.012012550121569689, 0.012023597351352918, 0.012037017767326508, 0.012053363637660568, 0.012073330037487378, 0.012097787029656738, 0.012127813039008388, 0.012164723321250475, 0.012210081570197493, 0.012265673651678841, 0.012333410141216966, 0.012415111072871176, 0.012512119534472439, 0.012624706249632247, 0.012751288829223321, 0.012887616419096656, 0.013026245690939391, 0.01315676167689343, 0.013267106488818393, 0.013345949381818783, 0.013385398835047637, 0.013382960033216198, 0.013341885080433677, 0.013269861599673265, 0.013176764184728891, 0.013072437636616922, 0.012965174989753338, 0.012861056515984898, 0.012763961455771676, 0.012675949466746318, 0.012597757533093246, 0.012529260680797832, 0.012469833745061965, 0.012418606019648011, 0.012374625546984638, 0.012336956501593162, 0.012304731140331345, 0.012277172936841454, 0.012253602581465821, 0.012233434533714583, 0.012216168926166844, 0.012201381670474118, 0.012188714365706312, 0.012177864838740053, 0.012168578689698674, 0.012160641956489219, 0.012153874874233892, 0.012148126638633227, 0.012143271056444029, 0.012139202962771463, 0.012135835292809337, 0.012133096708727488, 0.012130929697131219, 0.012129289067109267, 0.012128140792514966, 0.012127461154515122, 0.012127236151615499, 0.012127337362440874, 0.012127642139550442, 0.012128153943028751, 0.012128878628038273, 0.012129824581180153, 0.012131002919309219, 0.012132427759326655, 0.012134116570850489, 0.012136090627867498, 0.012138375580838747, 0.012141002177726677, 0.01214400717167563, 0.012147434465520817, 0.012151336560227764, 0.012155776397675455, 0.012160829720697276, 0.012166588119177691, 0.012173162996643082, 0.012180690787005715, 0.012189339891335303, 0.01219932001435339, 0.012210894899855997, 0.012224399960145701, 0.012240267080308509, 0.012259060152036969, 0.012281527009680559, 0.012308677062773197, 0.012341900309024852, 0.012383155090289741, 0.012435274170201989, 0.012502482954438052, 0.012591316571643373, 0.012712330064273639, 0.012883494968108122, 0.013137487102191304, 0.013538917037845072, 0.014230517545993257, 0.015579664504850304, 0.018766121285269236, 0.029015920740069041, 0.068746051084621049, 0.045409361671826444, 0.021850700823807807, 0.016193465344449858, 0.014236161645554858, 0.013361473579585018, 0.01290281124955563, 0.012635110193917023, 0.01246646710293926, 0.012353982833574114, 0.012275554204876723, 0.012218896068824096, 0.012176758075929293, 0.01214464795974097, 0.012119668049631067, 0.01209988491796416, 0.012083970759939578, 0.012070990718433936, 0.012060272174364157, 0.012051321879624601, 0.01204377197018347, 0.012037343936227313, 0.012031824054516412, 0.012027046310743758, 0.01202288032044513, 0.01201922264986276, 0.012015990489737619, 0.012013116983318323, 0.012010547734276778, 0.012008238167466607, 0.012006151513716335, 0.012004257256440247, 0.012002529923631282, 0.01200094814069679, 0.011999493882097685, 0.011998151875805659, 0.011996909126173742, 0.011995754529252604, 0.011994678560791441, 0.011993673021768013, 0.011992730829739683, 0.011991845846907295, 0.01199101273776043, 0.011990226850684998, 0.011989484119080301, 0.011988780978436458, 0.011988114296528955, 0.011987481314440423, 0.011986879596556862, 0.011986306988032453, 0.01198576157849273, 0.011985241670968342, 0.011984745755228817, 0.01198427248483077, 0.011983820657311225, 0.011983389197052583, 0.011982977140423434, 0.011982583622863889, 0.011982207867636503, 0.011981849176008036, 0.011981506918663192, 0.011981180528181911, 0.01198086949243719, 0.011980573348790859, 0.011980291678983658, 0.011980024104629748, 0.011979770283239301, 0.011979529904703176, 0.011979302688182859, 0.011979088379356592, 0.011978886747979428, 0.011978697585720352, 0.01197852070424469, 0.011978355933514262, 0.011978203120281148, 0.011978062126754327, 0.011977932829421034, 0.011977815118007027, 0.011977708894562329, 0.011977614072660327, 0.011977530576700358, 0.011977458341304644, 0.01197739731080243, 0.011977347438794821, 0.011977308687794985, 0.011977281028939496, 0.011977264441767298, 0.011977258914063671, 0.011977264441767298, 0.011977281028939496, 0.011977308687794983, 0.011977347438794823, 0.011977397310802438, 0.011977458341304648, 0.011977530576700368, 0.011977614072660328, 0.01197770889456232, 0.011977815118007031, 0.011977932829421035, 0.011978062126754336, 0.011978203120281149, 0.011978355933514255, 0.011978520704244683, 0.011978697585720349, 0.011978886747979433, 0.011979088379356597, 0.011979302688182855, 0.011979529904703178, 0.011979770283239303, 0.011980024104629753, 0.011980291678983662, 0.011980573348790855, 0.011980869492437188, 0.011981180528181919, 0.011981506918663185, 0.011981849176008036, 0.011982207867636509, 0.011982583622863882, 0.011982977140423434, 0.011983389197052583, 0.011983820657311225, 0.011984272484830761, 0.01198474575522882, 0.011985241670968349, 0.011985761578492732, 0.011986306988032457, 0.011986879596556867, 0.011987481314440421, 0.011988114296528962, 0.011988780978436461, 0.011989484119080298, 0.011990226850684998, 0.011991012737760438, 0.011991845846907302, 0.011992730829739678, 0.011993673021768011, 0.011994678560791441, 0.011995754529252597, 0.01199690912617374, 0.011998151875805659, 0.011999493882097687, 0.012000948140696792, 0.01200252992363128, 0.012004257256440252, 0.01200615151371633, 0.012008238167466607, 0.012010547734276787, 0.01201311698331833, 0.012015990489737623, 0.01201922264986276, 0.01202288032044513, 0.012027046310743753, 0.012031824054516414, 0.012037343936227313, 0.012043771970183472, 0.012051321879624606, 0.012060272174364155, 0.012070990718433931, 0.012083970759939573, 0.01209988491796417, 0.012119668049631063, 0.012144647959740974, 0.012176758075929278, 0.012218896068824071, 0.012275554204876641, 0.012353982833574025, 0.012466467102939204, 0.012635110193916848, 0.012902811249555661, 0.013361473579584612, 0.014236161645554324, 0.016193465344447308, 0.021850700823802124, 0.045409361671838233, 0.068746051084643198, 0.029015920740069017, 0.018766121285271272, 0.015579664504851525, 0.014230517545993363, 0.01353891703784561, 0.013137487102191354, 0.012883494968108413, 0.012712330064273787, 0.012591316571643531, 0.012502482954438199, 0.012435274170202008, 0.012383155090289814, 0.012341900309024866, 0.012308677062773219, 0.012281527009680559, 0.012259060152036993, 0.012240267080308509, 0.012224399960145713, 0.012210894899856002, 0.012199320014353379, 0.012189339891335305, 0.012180690787005703, 0.012173162996643077, 0.012166588119177688, 0.012160829720697276, 0.012155776397675457, 0.012151336560227759, 0.012147434465520822, 0.012144007171675625, 0.012141002177726677, 0.012138375580838745, 0.012136090627867495, 0.012134116570850494, 0.01213242775932665, 0.012131002919309221, 0.012129824581180157, 0.012128878628038273, 0.01212815394302875, 0.01212764213955044, 0.012127337362440874, 0.012127236151615508, 0.012127286733838167, 0.012127438773237282, 0.012127693151233677, 0.01212805134768411, 0.012128515457340299, 0.012129088213350753, 0.012129773018281614, 0.012130573983293641, 0.012131495976294331, 0.012132544680092288, 0.012133726661823349, 0.012135049455204312, 0.012136521657511109, 0.012138153043588874, 0.012139954699698625, 0.012141939180613541, 0.012144120694124251, 0.012146515318036731, 0.012149141255894808, 0.01215201913909743, 0.012155172384889517, 0.012158627621996324, 0.012162415198588674, 0.012166569791006865, 0.012171131136497855, 0.012176144919491236, 0.012181663849148011, 0.012187748976739667, 0.0121944713158064, 0.012201913847337639, 0.012210174018323324, 0.012219366877684271, 0.012229629042800791, 0.012241123758513705, 0.012254047407378572, 0.012268637968452923, 0.012285186122520572, 0.012304049996506158, 0.012325674979997949, 0.012350620715143468, 0.012379598394920577, 0.012413523136271143, 0.012453588827096169, 0.012501377198730908, 0.012559020269251309, 0.012629448246119095, 0.012716778411027922, 0.012826944583029349, 0.012968753304777949, 0.013155731486288359, 0.013409520489543395, 0.013766483505899471, 0.014291499461844192, 0.015109329166576991, 0.016483911546629267, 0.019047039261288853, 0.02456757742951457, 0.038779024142368522, 0.072354078613854206, 0.065698114696764717, 0.0342659231941881, 0.022321431747048797, 0.017680303848665712, 0.015521599224323572, 0.014368111030134387, 0.013687084585303261, 0.013254376145393385, 0.012963671891090897, 0.012759655312818297, 0.012611371581057629, 0.012500456121360498, 0.01241547994657256, 0.012349041385983722, 0.012296182948306754, 0.0122534872575991, 0.012218539223505199, 0.012189594578720373, 0.01216536920700218, 0.012144901564235101, 0.012127460647726587, 0.0121124830996564, 0.012099529385990678, 0.012088252730230216, 0.012078376739394226, 0.012069679056901865, 0.012061979260753749, 0.012055129795630186, 0.012049009102224104, 0.012043516357524039, 0.012038567409703337, 0.012034091608274552, 0.012030029311801535, 0.012026329913127298, 0.012022950263283681, 0.012019853405015787, 0.012017007548575234, 0.01201438523843717, 0.012011962671489884, 0.01200971913616055, 0.012007636548676408, 0.01200569906778861, 0.012003892773217282, 0.012002205396111101, 0.012000626092172201, 0.011999145249940179, 0.011997754328177578, 0.011996445717444446, 0.011995212621860237, 0.011994048957777899, 0.011992949266678836, 0.011991908640068036, 0.011990922654529721, 0.011989987315413779, 0.011989099007876751, 0.011988254454208395, 0.011987450676545957, 0.011986684964219249, 0.011985954845086799, 0.01198525806032039, 0.011984592542176728, 0.011983956394362789, 0.011983347874658429, 0.011982765379508025, 0.011982207430333194, 0.011981672661353426, 0.011981159808729954, 0.011980667700873774, 0.011980195249779229, 0.011978886053293329, 0.01197772114033268, 0.011976680839747423, 0.011975748720317463, 0.011974910836095459, 0.011974155163073907, 0.011973471175216544, 0.011972849523136106, 0.011972281789154769, 0.011971760299747534, 0.011971277981477985, 0.011970828250170751, 0.011970404925676973, 0.011970002166485883, 0.011969614419824331, 0.011969236383912887, 0.011968862979812252, 0.011968489330869496, 0.011968110748211521, 0.011967722721070651, 0.011967320910993035, 0.011966901149196409, 0.01196645943652716, 0.011965991945634207, 0.011965495025143791, 0.011964965205802177, 0.01196439920877306, 0.01196379395656102, 0.011963146587419794, 0.011962454474651515, 0.011961715252995424, 0.011960926855473016, 0.011960087565805711, 0.011959196094177931, 0.011958251688210237, 0.011957254297404709, 0.011956204819488845, 0.011955105473519093, 0.011953960371700798, 0.011952776407523142, 0.011951564656559895, 0.011950342625864536, 0.011949137942878586, 0.011947994556854658, 0.01194698347363723, 0.011946221994254854, 0.011945909654262052, 0.011946398808803991, 0.01194834202319107, 0.011953024286819599, 0.011963188727093288, 0.011985372883896724, 0.01203782907169859, 0.012185822851970068, 0.012795827935896167, 0.020772697451155727, 0.021413859063263964, 0.013378404098144146, 0.012555708554288995, 0.012304754174042452, 0.012192688892537853, 0.012131698765512429, 0.012094230050363617, 0.012069263391519642, 0.012051642550774792, 0.01203867249083343, 0.012028823624464112, 0.012021170646964509, 0.012015124591354384, 0.01201029466181623, 0.012006412407105429, 0.012003287904163896, 0.012000783315185387, 0.011998796326573448, 0.011997249439124072, 0.011996082845723838, 0.011995249576872993, 0.011994712119056559, 0.011994440012975992, 0.01199440811791249, 0.011994595337879124, 0.011994983673646228, 0.011995557508501202, 0.011996303064188609, 0.011997207982491999, 0.011998261000786482, 0.01199945169873785, 0.012000770299493299, 0.012002207513071567, 0.012003754412782215, 0.012005402337765222, 0.012007142816397332, 0.012008967506535137, 0.012010868149478184, 0.012012836535222072, 0.012014864477092466, 0.012016943794248034, 0.012019066300845239, 0.012021223800892312, 0.012023408088001531, 0.012025610949388832, 0.012027824173578023, 0.012030039561350597, 0.01203224893954577, 0.012034444177363296, 0.012036617204858475, 0.012038760033344274, 0.01204086477743454, 0.012042923678474839, 0.012044929129115601, 0.012046873698786383, 0.012048750159832908, 0.012050551514078561, 0.012052271019571965, 0.012053902217281878, 0.01205543895750082, 0.012056875425719401, 0.012058206167736604, 0.012059426113773968, 0.012060530601369357, 0.012061515396833086, 0.012062376715060724, 0.012063111237509963, 0.012063716128164129, 0.012064189047324057, 0.012064528163089023, 0.012064732160410534, 0.012064800247626841, 0.012064754852227286, 0.012064618795245488, 0.012064392463920175, 0.012064076502279525, 0.012063671809095856, 0.012063179535040819, 0.012062601079059352, 0.0120619380839857, 0.012061192431429422, 0.012060366235963531, 0.012059461838651269, 0.012058481799951431, 0.012057428892045554, 0.012056306090633143, 0.012055116566243267, 0.012053863675113588, 0.01205255094968799, 0.012051182088786673, 0.012049760947501697, 0.012048291526871844, 0.012046777963390223, 0.012045224518396909, 0.012043635567408487, 0.012042015589433819, 0.01204036915632441, 0.012038700922205143, 0.012037015613028657, 0.012035318016293886, 0.012033612970966718, 0.012031905357637032, 0.012030200088943722, 0.012028502100295413, 0.012026816340911224, 0.012025147765202719, 0.012023501324514041, 0.012021881959233677, 0.012020294591288078, 0.01201874411702287, 0.012017235400474184, 0.012015773267028669, 0.012014362497466744, 0.012013007822379934, 0.012011713916948819, 0.012010485396064112, 0.012009326809768852, 0.012008242638994918, 0.012007237291562145, 0.012006315098402777, 0.012005480309967851, 0.01200473709276563, 0.012004089525974539, 0.012003541598064851, 0.012003097203353651, 0.012002760138407297, 0.012002534098192902, 0.012002422671867231, 0.01200242933807521, 0.012002557459613082, 0.012002810277291389, 0.012003190902810717, 0.012003702310438806, 0.012004347327250694, 0.012005128621663993, 0.012006048689970163, 0.012007109840529084, 0.012008314175260071, 0.012009663568027518, 0.012011159639486124, 0.0120128037279201, 0.012014596855585633, 0.012016539690049106, 0.012018632500009539, 0.012020875105106415, 0.012023266819249551, 0.012025806387073297, 0.012028491913219164, 0.012031320784299322, 0.012034289583595982, 0.012037393998818041, 0.012040628723575671, 0.012043987353652549, 0.012047462279659634, 0.01205104457824482, 0.012054723904705194, 0.012058488390591343, 0.012062324550685869, 0.012066217204548441, 0.012070149418604424, 0.012074102475455116, 0.012078055877635482, 0.012081987393358969, 0.012085873151781185, 0.0120896877948941, 0.012093404692249905, 0.012096996223240538, 0.012100434129589751, 0.012103689938050092, 0.012106735450091825, 0.012109543291732463, 0.012112087512757271, 0.012114344220649744, 0.012116292230857592, 0.012117913711865495, 0.012119194801226819, 0.012120126167491342, 0.012120703493060336, 0.012120927854517991, 0.012120805979933718, 0.01212035036688352, 0.012119579250268176, 0.012118516415075324, 0.012117190855642898, 0.012115636289299511, 0.012113890538069607, 0.012111994797073741, 0.012109992812053102, 0.012107929990940453, 0.012105852475537611, 0.012103806199212645, 0.012101835955258929, 0.012099984498398648, 0.012098291699137039, 0.012096793767566649, 0.012095522560044373, 0.012094504979145637, 0.012093762474602197, 0.01209331065065623, 0.012093158983446817], [0.012275889766228138, 0.012275828938258583, 0.012275646601432308, 0.012275343196505901, 0.012274919456442277, 0.012274376403977173, 0.012273715348239754, 0.012272937880453838, 0.012272045868754128, 0.012271041452158791, 0.012269927033745428, 0.012268705273084666, 0.012267379077990569, 0.012265951595652197, 0.012264426203215415, 0.012262806497888171, 0.012261096286645864, 0.012259299575616249, 0.012257420559226588, 0.012255463609196967, 0.012253433263466465, 0.01225133421513926, 0.012249171301540315, 0.012246949493470355, 0.012244673884751733, 0.012242349682158284, 0.012239982195823401, 0.012237576830223739, 0.012235139075838343, 0.012232674501587288, 0.012230188748159598, 0.012227687522346497, 0.01222517659250583, 0.012222661785294672, 0.012220148983821949, 0.012217644127390962, 0.012215153213025508, 0.012212682299001271, 0.012210237510640008, 0.012207825048668288, 0.012205451200496643, 0.012203122354842258, 0.012200845020201365, 0.012198625847779684, 0.012196471659616282, 0.012194389482792936, 0.012192386590816208, 0.012190470553501958, 0.01218864929699464, 0.01218693117593261, 0.012185325060245793, 0.012183840439670449, 0.012182487549821246, 0.012181277524617957, 0.012180222581079883, 0.012179336244051269, 0.012178633620401964, 0.01217813173478631, 0.012177849942305514, 0.012177810437617294, 0.012178038885449563, 0.01217856520445827, 0.012179424545377017, 0.0121806585160079, 0.012182316720499228, 0.012184458699375924, 0.01218715638085849, 0.012190497184047123, 0.012194587951237649, 0.012199559929930166, 0.012205575073288687, 0.012212833975843612, 0.01222158579763697, 0.012232140531752948, 0.012244883894140943, 0.012260294884414782, 0.012278965553217232, 0.012301621511225855, 0.012329139926044948, 0.012362558784953888, 0.012403066660315617, 0.012451955981311054, 0.012510515673660834, 0.01257983378354849, 0.012660483624749131, 0.012752088472785611, 0.012852811457044219, 0.012958901362952354, 0.013064516206005895, 0.013162078557308615, 0.013243305090746171, 0.013300772229606017, 0.013329548344678546, 0.013328274696904714, 0.013299273086787791, 0.013247702788932799, 0.01318018731485447, 0.013103448352415592, 0.013023324132676817, 0.012944287309515457, 0.012869378307279696, 0.012800391388682235, 0.012738163249984127, 0.012682864414751839, 0.012634244050397347, 0.012591813716138473, 0.012554974235023218, 0.012523097153993244, 0.012495573196858151, 0.012471838302027796, 0.012451385280790024, 0.012433766756894827, 0.012418593166332176, 0.012405528230100318, 0.012394283376136865, 0.012384611970881717, 0.012376303830116862, 0.01236918023877696, 0.012363089567446504, 0.012357903493196305, 0.012353513790489372, 0.012349829638823468, 0.012346775387968656, 0.012344288723190164, 0.01234231917816401, 0.012340826950323364, 0.012339781980960295, 0.012339163269952859, 0.012338958402229306, 0.012339052656684129, 0.012339336444065579, 0.012339812858772711, 0.012340487133509232, 0.012341366755468928, 0.012342461635448583, 0.012343784336820847, 0.012345350374013988, 0.01234717859349977, 0.01234929165454242, 0.012351716632458324, 0.012354485774356374, 0.012357637446945683, 0.012361217328965919, 0.012365279918491939, 0.012369890449800041, 0.012375127348627151, 0.012381085402968233, 0.012387879895823857, 0.012395652047026633, 0.012404576259944906, 0.012414869891925627, 0.012426806607993753, 0.012440734907689545, 0.012457104258265751, 0.012476502639987069, 0.012499711601144419, 0.012527788858322468, 0.01256219546345211, 0.012604997407172001, 0.012659196143996151, 0.012729291953306465, 0.012822288848087247, 0.012949586572878372, 0.013130782688655427, 0.013401951638555249, 0.013835594922553065, 0.01459549634881298, 0.01611703196593274, 0.019868840103944269, 0.032821154861181527, 0.076473604695298902, 0.038676957529130446, 0.020432634523475317, 0.015861226189163545, 0.014202617498105191, 0.013439490615613741, 0.013031807371440291, 0.012790856205402948, 0.012637723982629535, 0.012534937308229389, 0.01246293850357365, 0.012410748773129966, 0.012371837778304856, 0.012342133837102472, 0.012318997098843959, 0.01230065874394125, 0.012285899783695924, 0.012273859491842407, 0.012263917094938974, 0.01225561645318279, 0.012248616813314746, 0.012242659838517137, 0.012237547065228793, 0.012233124194921466, 0.012229269960013733, 0.012225888108781861, 0.012222901553543263, 0.012220248042728305, 0.012217876921824959, 0.012215746682615592, 0.01221382309003754, 0.01221207773706072, 0.012210486920034964, 0.012209030756314292, 0.012207692486703229, 0.012206457920090591, 0.012205314988338984, 0.01220425338730703, 0.012203264285630868, 0.012202340087163102, 0.012201474236167147, 0.012200661056780974, 0.012199895620101623, 0.012199173633649904, 0.012198491349059782, 0.012197845484679603, 0.012197233160429814, 0.012196651842778298, 0.012196099298102295, 0.01219557355302907, 0.012195072860606199, 0.012194595671358492, 0.01219414060845578, 0.012193706446349924, 0.012193292092349199, 0.012192896570686862, 0.012192519008714361, 0.012192158624908838, 0.012191814718434694, 0.012191486660039334, 0.012191173884097576, 0.012190875881647276, 0.012190592194282134, 0.012190322408788132, 0.012190066152425724, 0.012189823088774766, 0.01218959291407052, 0.012189375353969304, 0.012189170160690804, 0.012188977110491495, 0.012188796001429497, 0.012188626651386991, 0.012188468896320413, 0.012188322588712934, 0.012188187596206908, 0.012188063800397067, 0.012187951095767716, 0.012187849388759511, 0.012187758596953164, 0.012187678648359544, 0.012187609480806542, 0.012187551041415182, 0.012187503286158113, 0.012187466179494864, 0.012187439694079419, 0.012187423810536453, 0.012187418517303402, 0.012187423810536455, 0.012187439694079422, 0.012187466179494861, 0.012187503286158115, 0.012187551041415189, 0.012187609480806544, 0.012187678648359554, 0.012187758596953169, 0.012187849388759504, 0.012187951095767721, 0.012188063800397071, 0.012188187596206919, 0.012188322588712937, 0.012188468896320413, 0.012188626651386984, 0.012188796001429492, 0.0121889771104915, 0.012189170160690812, 0.012189375353969299, 0.01218959291407052, 0.012189823088774775, 0.012190066152425733, 0.012190322408788135, 0.01219059219428213, 0.012190875881647269, 0.012191173884097581, 0.012191486660039332, 0.012191814718434689, 0.012192158624908845, 0.012192519008714351, 0.012192896570686867, 0.012193292092349203, 0.012193706446349926, 0.012194140608455773, 0.012194595671358503, 0.012195072860606204, 0.012195573553029072, 0.012196099298102296, 0.0121966518427783, 0.01219723316042981, 0.012197845484679604, 0.012198491349059789, 0.012199173633649902, 0.01219989562010162, 0.012200661056780981, 0.012201474236167156, 0.012202340087163099, 0.012203264285630868, 0.012204253387307032, 0.012205314988338977, 0.012206457920090586, 0.012207692486703232, 0.012209030756314288, 0.012210486920034966, 0.012212077737060721, 0.012213823090037551, 0.012215746682615587, 0.012217876921824957, 0.01222024804272831, 0.012222901553543268, 0.012225888108781868, 0.012229269960013734, 0.012233124194921466, 0.012237547065228786, 0.012242659838517141, 0.012248616813314748, 0.01225561645318279, 0.012263917094938978, 0.012273859491842402, 0.012285899783695925, 0.012300658743941246, 0.012318997098843968, 0.012342133837102474, 0.012371837778304862, 0.01241074877312995, 0.012462938503573629, 0.012534937308229284, 0.012637723982629408, 0.012790856205402878, 0.013031807371440024, 0.0134394906156138, 0.014202617498104463, 0.015861226189162473, 0.020432634523468364, 0.038676957529110663, 0.076473604695293976, 0.032821154861192955, 0.019868840103944144, 0.016117031965933573, 0.014595496348813578, 0.01383559492255311, 0.013401951638555598, 0.01313078268865546, 0.012949586572878575, 0.012822288848087358, 0.01272929195330658, 0.012659196143996267, 0.012604997407172011, 0.012562195463452178, 0.012527788858322479, 0.012499711601144435, 0.012476502639987067, 0.012457104258265773, 0.012440734907689543, 0.01242680660799376, 0.012414869891925633, 0.012404576259944896, 0.012395652047026633, 0.012387879895823847, 0.01238108540296823, 0.012375127348627151, 0.012369890449800039, 0.012365279918491942, 0.012361217328965914, 0.012357637446945686, 0.012354485774356367, 0.012351716632458324, 0.012349291654542419, 0.012347178593499767, 0.01234535037401399, 0.012343784336820846, 0.012342461635448585, 0.012341366755468928, 0.012340487133509225, 0.012339812858772708, 0.012339336444065577, 0.012339052656684129, 0.012338958402229316, 0.012339005508753944, 0.012339147090788587, 0.012339383938469851, 0.012339717377925665, 0.012340149285310121, 0.012340682106826994, 0.012341318885129907, 0.012342063292617389, 0.012342919672287596, 0.012343893086984411, 0.012344989378059815, 0.012346215234704888, 0.012347578275470616, 0.012349087143822032, 0.012350751619957056, 0.012352582751593361, 0.012354593007001875, 0.012356796454273801, 0.012359208971682337, 0.012361848495088236, 0.012364735309696706, 0.012367892395182547, 0.012371345835359896, 0.012375125306321203, 0.01237926466048694, 0.012383802628538193, 0.0123887836670813, 0.012394258987570095, 0.012400287812116106, 0.01240693891522175, 0.012414292528405722, 0.012422442708897237, 0.012431500306561215, 0.012441596708616956, 0.012452888604876089, 0.012465564105111947, 0.012479850666807651, 0.012496025474339083, 0.012514429178331562, 0.012535484301957252, 0.012559720222721046, 0.012587807564740795, 0.012620606291308038, 0.012659234121910293, 0.012705165734145563, 0.01276037968376962, 0.012827581222638705, 0.012910549387068386, 0.013014694349757829, 0.013147984120731778, 0.013322548673789666, 0.013557590587436306, 0.013884969156370185, 0.014360655519333491, 0.015090231106646566, 0.016291686514137881, 0.018470908514530839, 0.022993207131015922, 0.034214842084162943, 0.064073155017194863, 0.075798738209614844, 0.039754356967274994, 0.02431606570234756, 0.018609002998120443, 0.016070175180393401, 0.014755925752876983, 0.013997568987453787, 0.013523952843067767, 0.013210008598352181, 0.012992049708662454, 0.01283504111646616, 0.012718483484166255, 0.012629764691891948, 0.012560795337619959, 0.012506201861915037, 0.012462306492671164, 0.012426526370205816, 0.012397006393758325, 0.012372387616709186, 0.012351657004074042, 0.012334047528341583, 0.012318970257260227, 0.012305967267481252, 0.012294678410728373, 0.012284817475369461, 0.012276154834077823, 0.012268504641956217, 0.012261715274641276, 0.012255662104838812, 0.012250241987863649, 0.012245369010727244, 0.012240971185517886, 0.01223698785557349, 0.012233367644740553, 0.012230066824040349, 0.012227048001778236, 0.012224279066213222, 0.012221732326866791, 0.012219383813127104, 0.012217212698211483, 0.012215200823642466, 0.012213332304780807, 0.012211593202082113, 0.012209971245920579, 0.012208455605287208, 0.012207036692592176, 0.012205705998309949, 0.012204455950397193, 0.012203279794358252, 0.012202171490587214, 0.012201125626219601, 0.012200137339213732, 0.012199202252774852, 0.012198316418555457, 0.012197476267325662, 0.012196678566021404, 0.012195920380253517, 0.012195199041506058, 0.012194512118371791, 0.012193857391272765, 0.012193232830196774, 0.012192636575050125, 0.012192066918285231, 0.012191522289510759, 0.012191001241833336, 0.012190502439714559, 0.012190024648157247, 0.012189566723059549, 0.012188301894210154, 0.012187181758006911, 0.012186185904929326, 0.012185297393934539, 0.012184501929633045, 0.012183787251450674, 0.012183142676262648, 0.01218255875341159, 0.012182027002894724, 0.012181539715703998, 0.012181089801036446, 0.012180670669147515, 0.012180276141520088, 0.012179900382116422, 0.012179537845006791, 0.012179183234791847, 0.012178831477068721, 0.012178477696814818, 0.012178117203035221, 0.012177745478381519, 0.012177358172732442, 0.012176951099954817, 0.012176520237254641, 0.012176061726701255, 0.012175571878677571, 0.012175047177194389, 0.0121744842872284, 0.012173880064529694, 0.012173231568735387, 0.01217253608117987, 0.012171791129597622, 0.012170994523107074, 0.01217014440265857, 0.012169239314867068, 0.012168278321387119, 0.012167261162643451, 0.012166188505356378, 0.012165062320568859, 0.012163886467498244, 0.012162667607002518, 0.012161416652559919, 0.012160151116659549, 0.012158898986372117, 0.01215770528728809, 0.012156643536547546, 0.012155836447881024, 0.01215549498868256, 0.012155995950073549, 0.012158046071763471, 0.012163057955952159, 0.012174103534146002, 0.01219868540821044, 0.01225849897391687, 0.012435670135159794, 0.013248348641577836, 0.030076927439258428, 0.017984751806309568, 0.013351408961332413, 0.012706117774055753, 0.012491334204564405, 0.012391291489381107, 0.012335460401439485, 0.012300583060302907, 0.012277064592730844, 0.012260317778401296, 0.012247906713202255, 0.012238431919341328, 0.012231038550725527, 0.012225178169536088, 0.012220484470911544, 0.012216704422371719, 0.012213658149943334, 0.012211214561844944, 0.012209275990140687, 0.012207768206539297, 0.012206633751862411, 0.012205827370737221, 0.012205312819663552, 0.012205060592449329, 0.012205046271574347, 0.012205249314919489, 0.012205652150662997, 0.012206239493835758, 0.012206997824688096, 0.012207914986812052, 0.012208979875037931, 0.012210182191447701, 0.012211512253667256, 0.012212960843724491, 0.012214519088718265, 0.01221617836669092, 0.0122179302326714, 0.012219766361022469, 0.012221678501097236, 0.012223658443867011, 0.012225697997681107, 0.012227788971700172, 0.012229923165837158, 0.012232092366265414, 0.012234288345727984, 0.012236502868016882, 0.012238727696095283, 0.012240954603415953, 0.012243175388050439, 0.012245381889289454, 0.012247566006410211, 0.012249719719330487, 0.012251835110887573, 0.012253904390491517, 0.012255919918909858, 0.012257874233944352, 0.012259760076762636, 0.012261570418647352, 0.01226329848792479, 0.012264937796834432, 0.012266482168100685, 0.012267925760968542, 0.012269263096467723, 0.012270489081672775, 0.012271599032733947, 0.012272588696460879, 0.012273454270252473, 0.01227419242017954, 0.012274800297041989, 0.012275275550241381, 0.012275616339328979, 0.01227582134311238, 0.012275889766228138, 0.01227584414687884, 0.012275707418671278, 0.012275479970712702, 0.01227516245013933, 0.012274755760061828, 0.012274261056707729, 0.012273679745779094, 0.012273013478048883, 0.012272264144224092, 0.012271433869107935, 0.012270525005097788, 0.012269540125058988, 0.012268482014617986, 0.012267353663921251, 0.012266158258908548, 0.012264899172151688, 0.012263579953310347, 0.012262204319258861, 0.012260776143937203, 0.012259299447980258, 0.012257778388178899, 0.012256217246825281, 0.012254620420994304, 0.012252992411810749, 0.012251337813750242, 0.012249661304020025, 0.012247967632062538, 0.012246261609222365, 0.012244548098614111, 0.01224283200522543, 0.012241118266286207, 0.012239411841931459, 0.01223771770618161, 0.012236040838260746, 0.012234386214269191, 0.012232758799222969, 0.012231163539469491, 0.012229605355484197, 0.012228089135049388, 0.012226619726812556, 0.012225201934217242, 0.012223840509795537, 0.012222540149807041, 0.012221305489204541, 0.012220141096902302, 0.012219051471317532, 0.012218041036150691, 0.012217114136364338, 0.012216275034313905, 0.012215527905977056, 0.012214876837220352, 0.012214325820033513, 0.012213878748651753, 0.01221353941547591, 0.012213311506687724, 0.012213198597443978, 0.012213204146517609, 0.012213331490236515, 0.01221358383555181, 0.012213964252045404, 0.012214475662663695, 0.012215120832938539, 0.012215902358429211, 0.012216822650090105, 0.012217883917238976, 0.012219088147770297, 0.012220437085228698, 0.012221932202330527, 0.012223574670498762, 0.012225365324960779, 0.01222730462495239, 0.012229392608580284, 0.012231628841921994, 0.01223401236199404, 0.01223654161330183, 0.012239214377805152, 0.012242027698299972, 0.012244977795437678, 0.012248059978884953, 0.012251268553478337, 0.012254596721651934, 0.012258036483916969, 0.012261578539746085, 0.012265212191855255, 0.012268925257566878, 0.012272703991654834, 0.012276533025780724, 0.012280395330285229, 0.012284272204641653, 0.012288143303242891, 0.012291986703303566, 0.012295779021438099, 0.012299495584846543, 0.012303110661941102, 0.012306597755631175, 0.012309929960342889, 0.012313080381205172, 0.01231602261076519, 0.012318731255226293, 0.01232118249871046, 0.012323354690657186, 0.012325228938432345, 0.012326789684799272, 0.012328025248346884, 0.012328928304483852, 0.012329496285333136, 0.012329731678846996, 0.012329642210658459, 0.012329240896432999, 0.012328545957535497, 0.012327580598356406, 0.012326372649283346, 0.01232495408468472, 0.012323360430048638, 0.012321630076310843, 0.012319803522213152, 0.012317922567165476, 0.012316029477542885, 0.012314166148733924, 0.012312373283739098, 0.012310689606921806, 0.012309151128883644, 0.012307790475618396, 0.012306636292312934, 0.012305712729592102, 0.012305039017774078, 0.012304629132886302, 0.012304491556805058], [0.012473845174553289, 0.012473784142338988, 0.012473601193139058, 0.012473296768790023, 0.012472871604048724, 0.012472326724149939, 0.012471663441414753, 0.012470883350936296, 0.012469988325377471, 0.012468980508922228, 0.012467862310427744, 0.012466636395832014, 0.012465305679876347, 0.012463873317207578, 0.012462342692929271, 0.012460717412675772, 0.01245900129228586, 0.012457198347156074, 0.012455312781356618, 0.012453348976594307, 0.012451311481109468, 0.012449204998594239, 0.012447034377222339, 0.012444804598880008, 0.012442520768690193, 0.012440188104922999, 0.01243781192938676, 0.012435397658397136, 0.012432950794423681, 0.012430476918517858, 0.012427981683631514, 0.012425470808941264, 0.012422950075303483, 0.012420425321975534, 0.012417902444753128, 0.012415387395691237, 0.012412886184599009, 0.01241040488252616, 0.012407949627492924, 0.012405526632758313, 0.012403142197973458, 0.012400802723631478, 0.012398514729304783, 0.01239628487625866, 0.01239411999515088, 0.012392027119676206, 0.012390013527199796, 0.012388086787652401, 0.012386254822245384, 0.0123845259739188, 0.012382909091879443, 0.012381413633141989, 0.012380049784684988, 0.012378828610713882, 0.012377762230634675, 0.012376864034749843, 0.01237614894647443, 0.012375633742141047, 0.012375337442354386, 0.012375281792540629, 0.012375491855033605, 0.012375996741020349, 0.012376830518267774, 0.012378033340168928, 0.012379652853737983, 0.012381745959230833, 0.012384381012509261, 0.012387640583336423, 0.012391624908227246, 0.012396456203972813, 0.01240228403419893, 0.012409291939334098, 0.012417705536793437, 0.012427802248936717, 0.012439922680024631, 0.012454483372039219, 0.012471990117121953, 0.012493050038088024, 0.012518379068246599, 0.012548799056914032, 0.012585215389029606, 0.012628561988912207, 0.012679696969725951, 0.012739231596025007, 0.012807282318143706, 0.012883156624645975, 0.012965022803602826, 0.013049666753790339, 0.013132482890513197, 0.013207839021641405, 0.013269857584419375, 0.013313475682303517, 0.013335469495249989, 0.013335080597738134, 0.013314024874602622, 0.013275924987002327, 0.013225424490732772, 0.013167301148415292, 0.013105806792518798, 0.013044313153299474, 0.012985225137823204, 0.012930069651954314, 0.012879667839484892, 0.012834324185106459, 0.012793995284365861, 0.01275842358016234, 0.012727234878371007, 0.012700004823231964, 0.01267630142838878, 0.012655710406091729, 0.012637848800982182, 0.012622371051166034, 0.012608970387637536, 0.012597377538039174, 0.012587358012839974, 0.012578708774402501, 0.012571254769489667, 0.012564845597876862, 0.01255935245851811, 0.012554665434493732, 0.012550691130872527, 0.012547350653580869, 0.012544577904416463, 0.012542318162317833, 0.012540526920623872, 0.012539168952291936, 0.012538217578648722, 0.012537654121498334, 0.012537467522904759, 0.012537555447053596, 0.012537820139278316, 0.01253826437809053, 0.012538892858989186, 0.012539712294002943, 0.01254073155635177, 0.012541961875907934, 0.01254341709333591, 0.012545113983490523, 0.012547072662050096, 0.012549317093721084, 0.01255187572603394, 0.012554782280260012, 0.012558076741024136, 0.012561806599777191, 0.012566028425889114, 0.012570809864859428, 0.012576232199191031, 0.012582393658594959, 0.012589413739663576, 0.012597438902242844, 0.012606650168242965, 0.012617273387146313, 0.012629593297887766, 0.012643973087688032, 0.012660882059728632, 0.012680935511046879, 0.012704953421114338, 0.012734048868583914, 0.012769764798708351, 0.012814292032280936, 0.012870828961488966, 0.01294419921757281, 0.013041963268577426, 0.013176533844030147, 0.013369483479181954, 0.013661081415952434, 0.01413377534722199, 0.014978656087293348, 0.016723031825773761, 0.021250863867464321, 0.03817790310664787, 0.078660443043790884, 0.032994714846396045, 0.019240611715920061, 0.01557152673508474, 0.014174386154372585, 0.013512329587799934, 0.013151853782093751, 0.012936030214454042, 0.012797607400890107, 0.012704075838180798, 0.01263823927332906, 0.012590343505390858, 0.012554538529558281, 0.012527152506186932, 0.012505791847739318, 0.012488845536733012, 0.012475199192479873, 0.012464063503232106, 0.012454867719488177, 0.012447191545857831, 0.01244072043614675, 0.01243521556286129, 0.012430493223050681, 0.012426410450730513, 0.012422854795410321, 0.012419736949005956, 0.012416985353066255, 0.012414542204000302, 0.012412360459150205, 0.012410401568683144, 0.012408633740158185, 0.012407030598355958, 0.01240557014142751, 0.012404233921315557, 0.012403006395437552, 0.012401874410243695, 0.012400826787117885, 0.012399853988287558, 0.012398947845715992, 0.012398101339897495, 0.012397308418436146, 0.012396563846525408, 0.012395863083149255, 0.012395202178130626, 0.012394577686161021, 0.012393986594726871, 0.012393426263460051, 0.012392894372919919, 0.012392388881193398, 0.012391907987001313, 0.012391450098238922, 0.012391013805071929, 0.012390597856863918, 0.012390201142337095, 0.012389822672469799, 0.012389461565717946, 0.012389117035214919, 0.012388788377661187, 0.012388474963660221, 0.012388176229296209, 0.012387891668780234, 0.01238762082801804, 0.012387363298974994, 0.012387118714731657, 0.012386886745139446, 0.012386667092998679, 0.012386459490692493, 0.012386263697219369, 0.01238607949557515, 0.01238590669044193, 0.012385745106147414, 0.012385594584862944, 0.012385454985012777, 0.012385326179871021, 0.012385208056325639, 0.012385100513791682, 0.012385003463258604, 0.012384916826458134, 0.012384840535141588, 0.012384774530456477, 0.012384718762414482, 0.012384673189443489, 0.012384637778017876, 0.012384612502362323, 0.012384597344225277, 0.012384592292719165, 0.012384597344225277, 0.012384612502362327, 0.012384637778017876, 0.012384673189443489, 0.01238471876241449, 0.012384774530456482, 0.012384840535141595, 0.012384916826458137, 0.012385003463258598, 0.012385100513791684, 0.012385208056325637, 0.012385326179871033, 0.012385454985012775, 0.012385594584862943, 0.01238574510614741, 0.012385906690441924, 0.012386079495575155, 0.012386263697219376, 0.012386459490692489, 0.012386667092998675, 0.012386886745139453, 0.012387118714731669, 0.012387363298974996, 0.012387620828018035, 0.012387891668780231, 0.012388176229296215, 0.012388474963660218, 0.012388788377661178, 0.012389117035214923, 0.012389461565717933, 0.012389822672469806, 0.012390201142337095, 0.012390597856863922, 0.012391013805071923, 0.012391450098238927, 0.012391907987001318, 0.012392388881193398, 0.012392894372919919, 0.01239342626346005, 0.012393986594726871, 0.012394577686161026, 0.012395202178130629, 0.01239586308314925, 0.012396563846525412, 0.012397308418436153, 0.012398101339897499, 0.012398947845715989, 0.012399853988287555, 0.012400826787117885, 0.012401874410243688, 0.012403006395437543, 0.012404233921315559, 0.012405570141427512, 0.012407030598355961, 0.012408633740158182, 0.012410401568683154, 0.0124123604591502, 0.012414542204000302, 0.012416985353066262, 0.012419736949005961, 0.012422854795410325, 0.012426410450730509, 0.012430493223050681, 0.012435215562861281, 0.012440720436146744, 0.012447191545857827, 0.012454867719488177, 0.01246406350323211, 0.01247519919247987, 0.012488845536733012, 0.012505791847739315, 0.012527152506186943, 0.012554538529558281, 0.012590343505390868, 0.012638239273329039, 0.012704075838180768, 0.012797607400889961, 0.012936030214453876, 0.013151853782093636, 0.013512329587799507, 0.014174386154372689, 0.015571526735083316, 0.019240611715917826, 0.032994714846373854, 0.078660443043781211, 0.038177903106640584, 0.021250863867467901, 0.016723031825773879, 0.014978656087293809, 0.014133775347222306, 0.013661081415952505, 0.013369483479182178, 0.013176533844030166, 0.013041963268577584, 0.012944199217572887, 0.012870828961489061, 0.012814292032281032, 0.012769764798708363, 0.012734048868583966, 0.012704953421114348, 0.012680935511046891, 0.01266088205972863, 0.012643973087688049, 0.012629593297887761, 0.012617273387146322, 0.012606650168242972, 0.012597438902242835, 0.012589413739663581, 0.012582393658594947, 0.012576232199191031, 0.012570809864859428, 0.012566028425889117, 0.012561806599777191, 0.012558076741024131, 0.012554782280260017, 0.012551875726033937, 0.012549317093721087, 0.012547072662050096, 0.012545113983490523, 0.012543417093335911, 0.012541961875907929, 0.012540731556351766, 0.012539712294002948, 0.012538892858989186, 0.012538264378090526, 0.012537820139278314, 0.012537555447053594, 0.012537467522904765, 0.012537511466425217, 0.012537643533271445, 0.0125378644346614, 0.01253817536387896, 0.01253857800830668, 0.012539074566579439, 0.012539667771177578, 0.012540360916883925, 0.012541157895648533, 0.012542063238539463, 0.01254308216561373, 0.01254422064472442, 0.012545485460494025, 0.012546884294939489, 0.012548425821539885, 0.012550119814907496, 0.012551977278671108, 0.012554010594729277, 0.012556233697704042, 0.012558662279258387, 0.012561314027973541, 0.012564208911773268, 0.012567369511502068, 0.012570821416310975, 0.012574593694103665, 0.012578719453617875, 0.012583236518990492, 0.012588188243188024, 0.012593624493900885, 0.012599602854980654, 0.012606190099053536, 0.01261346400370476, 0.012621515606205086, 0.012630452022443249, 0.012640399997872734, 0.012651510416762414, 0.012663964078116045, 0.01267797916321493, 0.012693820987520893, 0.012711814874533905, 0.012732363351973374, 0.012755969416993657, 0.01278326845470011, 0.012815072703357452, 0.012852434249797554, 0.012896735954378158, 0.012949825433224883, 0.013014217111310889, 0.013093404975795345, 0.013192361200741116, 0.013318358432892308, 0.013482379773727488, 0.013701649074466972, 0.014004422481097727, 0.014439665464509598, 0.015098188812368069, 0.016163505781497674, 0.018049967076900732, 0.021838603839291985, 0.030885587975659625, 0.055886588222296675, 0.082596374935458142, 0.046308465432530942, 0.026599235584832175, 0.019604468578546655, 0.016629438879355158, 0.015138022127181371, 0.014296968198576097, 0.013780599507066532, 0.013442806874499197, 0.01321075511607871, 0.013045041162310438, 0.012922918874225423, 0.012830548488487213, 0.012759135609182369, 0.012702884644191805, 0.012657856147594706, 0.012621300076526069, 0.012591251726813538, 0.012566278674950174, 0.012545317662085746, 0.012527566744530731, 0.012512412354014756, 0.01249937895857193, 0.01248809368185924, 0.012478261022141102, 0.012469644514757733, 0.012462053247465818, 0.012455331818979384, 0.012449352774550112, 0.012444010846390343, 0.012439218524744384, 0.012434902620777979, 0.012431001576281957, 0.012427463341057862, 0.012424243685655046, 0.012421304850753132, 0.01241861445889488, 0.012416144632170752, 0.012413871272697529, 0.012411773472616003, 0.012409833027768746, 0.012408034034857499, 0.012406362556186845, 0.012404806339413696, 0.012403354582286811, 0.012401997734358685, 0.012400727329218621, 0.012399535842029569, 0.012398416568129653, 0.012397363519238574, 0.012396371334432506, 0.012395435203552666, 0.01239455080111832, 0.01239371422914329, 0.012392921967523332, 0.01239217083088081, 0.012391457930932989, 0.012390780643598671, 0.012390136580180658, 0.012389523562063248, 0.012388939598448898, 0.012388382866728937, 0.01238785169514261, 0.012387344547428784, 0.012386860009216226, 0.012386396775934649, 0.012385953642058087, 0.012384734073027339, 0.012383659682790388, 0.01238270926320926, 0.01238186532587059, 0.01238111320353503, 0.012380440386814039, 0.012379836030091892, 0.012379290580657993, 0.012378795498513978, 0.01237834304358398, 0.012377926113495518, 0.012377538119628736, 0.012377172892353214, 0.012376824608686875, 0.012376487737290935, 0.012376156996944519, 0.012375827325550249, 0.012375493857399075, 0.012375151906931692, 0.012374796957622303, 0.012374424654911842, 0.012374030802358677, 0.012373611360375389, 0.012373162447099191, 0.012372680341117624, 0.012372161485958995, 0.012371602496480401, 0.012371000167575067, 0.012370351486015414, 0.01236965364680984, 0.012368904076271123, 0.012368100465214296, 0.01236724081754555, 0.012366323522330249, 0.012365347461822719, 0.012364312174877165, 0.01236321810628732, 0.012362066990776181, 0.01236086245063257, 0.012359610937546943, 0.012358323239189707, 0.012357016932563945, 0.012355720465186015, 0.012354480118913455, 0.012353372258099887, 0.012352525667051445, 0.012352164104135536, 0.012352691784987786, 0.012354876710818048, 0.012360277577334962, 0.01237234968042762, 0.012399751659607036, 0.012468480015271302, 0.012683311180164086, 0.013802014419603888, 0.056240559885985718, 0.016308306833921021, 0.013369596916216702, 0.012853072581422235, 0.012667651402568463, 0.012577922045726374, 0.012526668776464992, 0.012494145478451322, 0.012471966084655513, 0.012456039001947593, 0.012444158482830134, 0.012435042392812186, 0.012427900228315284, 0.012422220951491562, 0.012417661061319692, 0.012413981995324001, 0.012411013376701516, 0.012408630529913365, 0.012406740231582048, 0.012405271399987084, 0.012404168846503642, 0.012403388981874115, 0.012402896803332626, 0.012402663740673952, 0.012402666090485751, 0.012402883860815565, 0.01240329990722948, 0.012403899279044468, 0.012404668719382452, 0.012405596279340332, 0.012406671017899665, 0.012407882767030696, 0.012409221946933694, 0.012410679420259873, 0.01241224637695666, 0.012413914243420292, 0.012415674611136539, 0.012417519181101287, 0.012419439721144895, 0.01242142803391182, 0.012423475933724455, 0.012425575230924968, 0.012427717722569899, 0.012429895188568425, 0.012432099392523132, 0.012434322086661677, 0.012436555020347578, 0.012438789951736024, 0.012441018662198947, 0.012443232973187902, 0.012445424765236704, 0.012447585998828985, 0.012449708736872697, 0.012451785168534485, 0.012453807634193523, 0.012455768651277503, 0.012457660940745076, 0.012459477453978534, 0.012461211399849416, 0.012462856271719039, 0.01246440587413529, 0.01246585434898753, 0.012467196200884009, 0.012468426321518842, 0.012469540012803086, 0.012470533008541377, 0.012471401494447016, 0.012472142126301444, 0.012472752046079434, 0.012473228895880218, 0.012473570829524126, 0.012473776521697576, 0.012473845174553289, 0.012473799402033262, 0.012473662214737943, 0.012473434003046629, 0.012473115416211645, 0.0124727073602978, 0.012472210995316523, 0.012471627731572966, 0.012470959225249651, 0.012470207373254752, 0.012469374307367543, 0.012468462387717668, 0.012467474195638586, 0.01246641252593882, 0.012465280378637462, 0.012464080950212753, 0.012462817624415016, 0.012461493962695563, 0.012460113694305658, 0.012458680706118922, 0.012457199032231242, 0.012455672843391833, 0.012454106436317938, 0.012452504222945094, 0.012450870719662424, 0.012449210536581146, 0.01244752836688209, 0.012445828976285118, 0.012444117192680829, 0.012442397895961849, 0.012440676008087658, 0.012438956483413473, 0.012437244299310486, 0.012435544447100409, 0.012433861923324477, 0.012432201721362458, 0.012430568823413446, 0.012428968192846971, 0.012427404766927965, 0.012425883449915829, 0.012424409106533557, 0.012422986555798477, 0.012421620565202273, 0.012420315845223136, 0.012419077044148579, 0.012417908743182547, 0.012416815451805105, 0.012415801603347851, 0.012414871550741934, 0.012414029562389191, 0.012413279818099856, 0.012412626405032153, 0.01241207331356056, 0.012411624432989536, 0.012411283547018606, 0.012411054328852325, 0.012410940335835148, 0.012410945003475605, 0.012411071638707487, 0.012411323412216905, 0.012411703349643409, 0.012412214321441184, 0.01241285903116238, 0.012413640001899135, 0.012414559560594727, 0.012415619819907443, 0.012416822657285007, 0.012418169690882698, 0.012419662251938034, 0.012421301353199139, 0.012423087652997541, 0.012425021414560023, 0.012427102460174925, 0.012429330119868333, 0.012431703174311675, 0.012434219791780599, 0.012436877459120992, 0.012439672906860638, 0.012442602028839088, 0.012445659797022182, 0.012448840172524548, 0.012452136014287961, 0.01245553898735371, 0.012459039473219245, 0.012462626485371569, 0.012466287593724314, 0.012470008862325098, 0.01247377480530718, 0.012477568366589647, 0.012481370929225924, 0.012485162360498452, 0.012488921098789567, 0.012492624287857556, 0.012496247963350081, 0.012499767295149398, 0.012503156887439278, 0.012506391136221189, 0.012509444641432492, 0.012512292667924687, 0.012514911646478659, 0.012517279702947913, 0.012519377200739064, 0.012521187279390486, 0.012522696370223043, 0.012523894669112074, 0.012524776546521926, 0.012525340876137134, 0.012525591265718285, 0.012525536177114886, 0.012525188926501896, 0.012524567560619404, 0.012523694609779071, 0.012522596723330622, 0.012521304197835582, 0.01251985041209637, 0.012518271186219914, 0.012516604083922205, 0.012514887678260169, 0.012513160800948275, 0.012511461794496633, 0.012509827784765264, 0.012508293989373946, 0.012506893074955467, 0.012505654573705068, 0.012504604367241221, 0.012503764243601745, 0.012503151531350161, 0.012502778813312328, 0.012502653721404787], [0.012649195144080421, 0.012649133995318803, 0.012648950696634537, 0.012648645690335913, 0.012648219711962474, 0.01264767378783724, 0.012647009231667772, 0.012646227640222605, 0.012645330888118037, 0.012644321121756808, 0.012643200752466404, 0.012641972448891587, 0.012640639128701047, 0.012639203949673059, 0.01263767030022993, 0.012636041789495126, 0.012634322236950378, 0.01263251566177287, 0.012630626271935919, 0.012628658453157767, 0.012626616757785536, 0.012624505893702297, 0.012622330713347172, 0.012620096202938566, 0.012617807471992547, 0.012615469743229487, 0.012613088342963173, 0.012610668692069775, 0.012608216297635689, 0.012605736745387845, 0.012603235693014962, 0.012600718864494221, 0.012598192045547024, 0.012595661080357885, 0.012593131869704458, 0.012590610370663592, 0.012588102598080502, 0.012585614628014444, 0.012583152603407467, 0.012580722742264053, 0.012578331348679528, 0.012575984827117033, 0.012573689700409264, 0.012571452632054527, 0.012569280453491982, 0.012567180197182873, 0.012565159136499696, 0.012563224833641534, 0.012561385197062142, 0.012559648550230083, 0.012558023713954277, 0.012556520105024834, 0.012555147854564415, 0.012553917950294258, 0.012552842407933633, 0.012551934478228192, 0.012551208897710234, 0.012550682193320058, 0.012550373053573861, 0.012550302782185418, 0.012550495854105762, 0.012550980599037692, 0.012551790043846059, 0.012552962953179338, 0.012554545117304352, 0.012556590947846164, 0.012559165455883328, 0.012562346702409037, 0.01256622882761136, 0.012570925780623417, 0.012576575881090367, 0.012583347340218189, 0.012591444838102138, 0.012601117172900451, 0.012612665828539888, 0.012626453993953632, 0.012642915026053438, 0.012662558472846348, 0.012685970443118692, 0.01271380324228436, 0.012746746856168322, 0.012785472482221389, 0.012830536992809911, 0.012882239111694314, 0.012940426407475031, 0.013004270287324069, 0.013072054660355853, 0.013141056158423529, 0.013207611997818077, 0.013267450434466133, 0.013316282095167577, 0.013350535205933559, 0.013368022054882703, 0.013368316279037357, 0.013352722670847795, 0.013323880281959173, 0.013285164727625235, 0.013240087410049835, 0.013191835422332175, 0.013143007617107398, 0.013095529231035258, 0.013050690896389161, 0.013009253560063584, 0.012971574033384189, 0.012937723482257147, 0.012907585896133188, 0.012880933256294535, 0.012857479296550334, 0.012836915826395789, 0.012818935899918974, 0.012803247602644134, 0.012789581447886656, 0.012777693603225828, 0.012767366519347425, 0.012758408033559449, 0.01275064965553158, 0.012743944486975828, 0.012738165052990091, 0.012733201207555273, 0.012728958201305705, 0.01272535495303688, 0.012722322538173791, 0.012719802891192494, 0.012717747710445943, 0.012716117550128051, 0.012714881083351396, 0.012714014521318382, 0.012713501175582512, 0.012713331152969163, 0.012713413311932339, 0.012713660618227892, 0.012714075576615963, 0.012714662417436351, 0.012715427182348865, 0.012716377848756526, 0.012717524497598323, 0.012718879530994601, 0.012720457948418728, 0.012722277692806675, 0.012724360081505466, 0.012726730341476925, 0.012729418274096134, 0.012732459082745225, 0.012735894406952847, 0.012739773621144979, 0.012744155475707605, 0.012749110185304429, 0.012754722107637057, 0.012761093210205047, 0.012768347600957377, 0.01277663751322191, 0.012786151305261357, 0.012797124291370761, 0.012809853615869745, 0.012824718999949452, 0.012842212182966755, 0.012862979508177913, 0.012887884849400169, 0.01291810484749951, 0.012955277000263551, 0.013001737148887176, 0.013060914072939776, 0.013138012712489204, 0.013241255924083414, 0.013384275991675503, 0.01359105669723586, 0.013907081074748282, 0.014427455210130478, 0.015379181223094309, 0.017416385254567863, 0.023038102058712408, 0.04587050910745568, 0.072349479664001001, 0.028473508618122374, 0.018249305488891119, 0.015315525746663316, 0.014143514616642322, 0.013571601525229716, 0.013254192992286666, 0.013061639824073518, 0.012936978518647963, 0.012852166180596656, 0.012792162748905891, 0.012748344647744955, 0.012715495378115334, 0.012690317897048727, 0.012670650654435744, 0.0126550319247698, 0.012642446609078229, 0.012632173341571368, 0.012623689057373124, 0.012616607678046843, 0.012610639700585633, 0.012605564953795794, 0.012601213856320822, 0.012597454286589765, 0.012594182231774904, 0.012591315027862579, 0.012588786405785996, 0.012586542815476312, 0.012584540666682987, 0.012582744235879456, 0.012581124062826091, 0.01257965571102674, 0.012578318801360237, 0.012577096252722795, 0.012575973680926032, 0.012574938919577075, 0.012573981635708786, 0.012573093019542739, 0.012572265532650537, 0.012571492702415463, 0.012570768953426036, 0.012570089468498576, 0.012569450073599303, 0.012568847142144329, 0.012568277515088259, 0.012567738433937116, 0.01256722748438804, 0.01256674254874315, 0.012566281765597716, 0.01256584349558188, 0.012565426292158994, 0.012565028876662297, 0.012564650116896421, 0.012564289008746432, 0.012563944660332747, 0.012563616278326773, 0.01256330315610636, 0.012563004663481531, 0.012562720237764443, 0.012562449375992834, 0.012562191628145569, 0.01256194659121404, 0.012561713904013066, 0.012561493242632595, 0.012561284316445851, 0.012561086864601756, 0.012560900652939692, 0.012560725471273704, 0.012560561131000188, 0.012560407462989906, 0.012560264315730395, 0.012560131553689324, 0.012560009055873657, 0.012559896714562625, 0.012559794434195646, 0.012559702130398984, 0.012559619729136915, 0.012559547165975491, 0.012559484385448424, 0.01255943134051639, 0.012559387992112351, 0.012559354308766608, 0.012559330266306646, 0.012559315847627707, 0.012559311042531052, 0.012559315847627707, 0.012559330266306647, 0.012559354308766603, 0.012559387992112349, 0.012559431340516396, 0.012559484385448428, 0.012559547165975501, 0.012559619729136915, 0.012559702130398981, 0.012559794434195647, 0.012559896714562622, 0.012560009055873667, 0.012560131553689326, 0.012560264315730391, 0.012560407462989899, 0.012560561131000186, 0.012560725471273713, 0.0125609006529397, 0.012561086864601749, 0.012561284316445853, 0.012561493242632603, 0.012561713904013075, 0.012561946591214046, 0.012562191628145567, 0.012562449375992832, 0.012562720237764448, 0.012563004663481529, 0.012563303156106357, 0.01256361627832678, 0.012563944660332737, 0.012564289008746433, 0.012564650116896418, 0.012565028876662301, 0.012565426292158987, 0.012565843495581888, 0.012566281765597723, 0.012566742548743149, 0.012567227484388044, 0.012567738433937117, 0.012568277515088258, 0.012568847142144336, 0.012569450073599312, 0.012570089468498571, 0.012570768953426032, 0.012571492702415468, 0.012572265532650541, 0.012573093019542732, 0.012573981635708786, 0.01257493891957708, 0.012575973680926026, 0.012577096252722793, 0.01257831880136024, 0.012579655711026741, 0.012581124062826092, 0.012582744235879455, 0.012584540666682993, 0.012586542815476307, 0.012588786405786, 0.012591315027862583, 0.012594182231774911, 0.012597454286589767, 0.01260121385632082, 0.012605564953795799, 0.012610639700585628, 0.012616607678046839, 0.012623689057373115, 0.012632173341571367, 0.012642446609078232, 0.012655031924769791, 0.012670650654435749, 0.012690317897048714, 0.012715495378115345, 0.012748344647744957, 0.012792162748905904, 0.012852166180596628, 0.012936978518647909, 0.013061639824073323, 0.013254192992286437, 0.013571601525229522, 0.014143514616641688, 0.015315525746663455, 0.018249305488888028, 0.028473508618114207, 0.072349479663957425, 0.045870509107474158, 0.023038102058710565, 0.017416385254569389, 0.015379181223094415, 0.014427455210130752, 0.013907081074748492, 0.013591056697235902, 0.013384275991675663, 0.013241255924083432, 0.01313801271248932, 0.013060914072939845, 0.013001737148887253, 0.012955277000263627, 0.012918104847499518, 0.012887884849400209, 0.012862979508177925, 0.012842212182966765, 0.012824718999949454, 0.012809853615869761, 0.012797124291370757, 0.012786151305261357, 0.012776637513221915, 0.012768347600957368, 0.012761093210205049, 0.01275472210763705, 0.012749110185304429, 0.012744155475707605, 0.01273977362114498, 0.012735894406952842, 0.012732459082745215, 0.012729418274096137, 0.012726730341476917, 0.012724360081505466, 0.012722277692806677, 0.01272045794841873, 0.012718879530994605, 0.012717524497598318, 0.012716377848756528, 0.012715427182348868, 0.012714662417436349, 0.01271407557661596, 0.012713660618227887, 0.012713413311932343, 0.01271333115296917, 0.012713372215758998, 0.012713495617704998, 0.012713702001574949, 0.01271399244547845, 0.012714368473237363, 0.012714832069159229, 0.012715385697476773, 0.012716032326803685, 0.012716775460054442, 0.012717619170385854, 0.012718568143843968, 0.012719627729547061, 0.012720803998407195, 0.012722103811597161, 0.012723534900212271, 0.012725105957869173, 0.012726826748336436, 0.012728708230720941, 0.012730762705258003, 0.012733003983397152, 0.012735447586669935, 0.012738110979812754, 0.012741013844847836, 0.012744178404369087, 0.012747629804226246, 0.012751396568270677, 0.012755511140978825, 0.012760010537818419, 0.012764937128458732, 0.012770339584743272, 0.012776274034285209, 0.012782805472365032, 0.012790009500561493, 0.012797974481720728, 0.012806804229596064, 0.012816621390848468, 0.012827571731585826, 0.01283982961689894, 0.012853605079920888, 0.012869153032015912, 0.012886785391330615, 0.012906887240125143, 0.012929938621303781, 0.012956544348130861, 0.012987475389613777, 0.013023727282892382, 0.013066604095466573, 0.013117841582576282, 0.013179791971223606, 0.013255708352042851, 0.013350195165626241, 0.013469945647900095, 0.013624995652218681, 0.013830951596055399, 0.014113160648352578, 0.014515016595799903, 0.015115797928140554, 0.01607271087965222, 0.01773221509590376, 0.020970999952450449, 0.028428255334159179, 0.049000319309307434, 0.084441754874007069, 0.053879055139145995, 0.029197347352564337, 0.0206617170373402, 0.017189746635588133, 0.015504439287300793, 0.014575524837408515, 0.014014738226729308, 0.013652598525895145, 0.013406363341124307, 0.013231993650770647, 0.013104397305970527, 0.013008469948973143, 0.012934699266945326, 0.012876864144553623, 0.012830763590825233, 0.01279348176039408, 0.012762946017644407, 0.012737652053381992, 0.012716487771136764, 0.0126986174704765, 0.012683403897285978, 0.012670354681799254, 0.012659084842089739, 0.012649290088364636, 0.012640727523804829, 0.012633201496409193, 0.012626553093493774, 0.012620652248700957, 0.012615391747144971, 0.01261068262627515, 0.012606450614474749, 0.012602633349227274, 0.012599178186561521, 0.012596040463004842, 0.012593182106762735, 0.012590570520547243, 0.012588177677279129, 0.01258597938377237, 0.012583954677850472, 0.012582085332110424, 0.012580355443429139, 0.012578751091789853, 0.012577260055448413, 0.012575871572120079, 0.012574576137938134, 0.01257336533755485, 0.012572231700031022, 0.012571168576168966, 0.012570170033747153, 0.01256923076775566, 0.01256834602324816, 0.012567511528841262, 0.012566723439230015, 0.012565978285362232, 0.012565272931139083, 0.012564604535692959, 0.012563970520445469, 0.012563368540273383, 0.012562796458214341, 0.012562252323230301, 0.01256173435061903, 0.01256124090472416, 0.012560770483644889, 0.012560321705689511, 0.0125598932973524, 0.012558718961371814, 0.012557690460486428, 0.012556785710259415, 0.012555986624329716, 0.012555278131220126, 0.012554647452650808, 0.012554083568828967, 0.012553576819053409, 0.012553118601344683, 0.012552701145292658, 0.012552317339556125, 0.012551960600514892, 0.012551624772158968, 0.012551304049861718, 0.012550992922533555, 0.012550686129000723, 0.012550378625444352, 0.012550065561469731, 0.012549742262926416, 0.0125494042200168, 0.012549047079553071, 0.012548666640477268, 0.012548258851970156, 0.012547819813660009, 0.012547345777621314, 0.012546833152044228, 0.012546278506681883, 0.012545678580474333, 0.012545030292147805, 0.012544330755158206, 0.012543577299184639, 0.012542767501628752, 0.012541899234474395, 0.012540970734786041, 0.012539980711691944, 0.012538928509941942, 0.012537814361807141, 0.012536639778254192, 0.012535408162420075, 0.012534125783363608, 0.012532803344544803, 0.012531458555695046, 0.012530120441530184, 0.012528836748679339, 0.012527687077920725, 0.012526807046631068, 0.012526434782295356, 0.012527005409946942, 0.01252935652043613, 0.012535214894475264, 0.012548485402643821, 0.012579221678509618, 0.012658849979156797, 0.012923145076828409, 0.014527852184416813, 0.090364907050821161, 0.015400370763280841, 0.013405952042723513, 0.012985227667183682, 0.012823871306070083, 0.01274302506857816, 0.01269583848644512, 0.012665451843880184, 0.01264450763943187, 0.012629346421147471, 0.01261796682446149, 0.01260919242649302, 0.012602291369500217, 0.012596787038756808, 0.012592357097847045, 0.012588776512095386, 0.012585883840826748, 0.012583560480800244, 0.012581717437287797, 0.012580286637052702, 0.012579215072504838, 0.012578460762014949, 0.012577989905318405, 0.012577774843445808, 0.012577792571485736, 0.012578023638362232, 0.012578451322185016, 0.012579061004903365, 0.012579839693194613, 0.012580775648095696, 0.012581858096518562, 0.012583077005158452, 0.012584422902480619, 0.012585886738157272, 0.012587459771981316, 0.012589133486218486, 0.012590899516783553, 0.012592749599685078, 0.012594675529976859, 0.012596669131054323, 0.012598722232590835, 0.012600826655758639, 0.012602974204648454, 0.012605156663009544, 0.012607365795593217, 0.012609593353507198, 0.012611831083084557, 0.01261407073784495, 0.012616304093182583, 0.012618522963457028, 0.01262071922119554, 0.012622884818137045, 0.012625011807864175, 0.012627092369779599, 0.012629118834189103, 0.01263108370825625, 0.012632979702594662, 0.012634799758263145, 0.012636537073927243, 0.012638185132950097, 0.012639737730174339, 0.012641188998157287, 0.012642533432623825, 0.012643765916904241, 0.01264488174513124, 0.012645876643977523, 0.012646746792726517, 0.012647488841481987, 0.012648099927337415, 0.012648577688345181, 0.012648920275144793, 0.012649126360132691, 0.012649195144080421, 0.012649149284160407, 0.012649011834909317, 0.012648783187438485, 0.012648463992218268, 0.012648055157014506, 0.012647557844018525, 0.012646973466188953, 0.012646303682828978, 0.012645550394427333, 0.012644715736795344, 0.012643802074537035, 0.012642811993892512, 0.012641748294998454, 0.012640613983612143, 0.012639412262348019, 0.012638146521477964, 0.012636820329347157, 0.012635437422459506, 0.012634001695286038, 0.012632517189850517, 0.012630988085145695, 0.012629418686432829, 0.012627813414476214, 0.012626176794762183, 0.012624513446750652, 0.012622828073204757, 0.012621125449641377, 0.012619410413942664, 0.012617687856165537, 0.012615962708582782, 0.012614239935985936, 0.012612524526276691, 0.012610821481369241, 0.012609135808423213, 0.012607472511421912, 0.012605836583106956, 0.012604232997276876, 0.012602666701452337, 0.012601142609907008, 0.012599665597058858, 0.01259824049121212, 0.012596872068635976, 0.012595565047961277, 0.012594324084871891, 0.012593153767062432, 0.012592058609428379, 0.012591043049449488, 0.012590111442720745, 0.012589268058578747, 0.012588517075763965, 0.012587862578051306, 0.012587308549772417, 0.012586858871143334, 0.0125865173133001, 0.012586287532932474, 0.012586173066392667, 0.012586177323140687, 0.012586303578371413, 0.012586554964650533, 0.012586934462366632, 0.012587444888785729, 0.012588088885472384, 0.012588868903817968, 0.012589787188393372, 0.012590845757820018, 0.012592046382831314, 0.01259339056117734, 0.012594879489011132, 0.012596514028386777, 0.012598294670501215, 0.012600221494325683, 0.012602294120304107, 0.012604511658847966, 0.012606872653436414, 0.01260937501824198, 0.012612015970351893, 0.012614791956850295, 0.012617698577271352, 0.012620730502234384, 0.012623881389431617, 0.01262714379855835, 0.012630509107251445, 0.012633967430627405, 0.012637507547572098, 0.012641116837510171, 0.012644781231943826, 0.012648485185560469, 0.012652211672120649, 0.012655942210598238, 0.012659656927093954, 0.012663334657821546, 0.012666953097915299, 0.012670488999879083, 0.012673918424161665, 0.012677217042590984, 0.012680360493258862, 0.012683324782976102, 0.012686086730721158, 0.012688624442720125, 0.01269091780709948, 0.012692948993640089, 0.012694702942235434, 0.012696167822411942, 0.012697335445863683, 0.012698201614495658, 0.012698766387999726, 0.012699034257466506, 0.012699014214848054, 0.012698719712038311, 0.012698168507685483, 0.012697382404308927, 0.012696386882575681, 0.012695210643426982, 0.012693885071910247, 0.012692443638905006, 0.012690921258345884, 0.012689353618035786, 0.012687776501768808, 0.012686225119370923, 0.012684733459581415, 0.012683333678629609, 0.0126820555351009, 0.012680925879415312, 0.01267996820411136, 0.012679202259257651, 0.012678643735777633, 0.01267830401830454, 0.012678190008377676], [0.012804288376800603, 0.012804227185871856, 0.012804043760671643, 0.012803738543464093, 0.012803312269713527, 0.012802765965634356, 0.0128021009447889, 0.012801318803759875, 0.012800421416932509, 0.012799410930428134, 0.012798289755236912, 0.012797060559604697, 0.01279572626073389, 0.012794290015863565, 0.012792755212798693, 0.012791125459962629, 0.012789404576050325, 0.012787596579362639, 0.012785705676905228, 0.01278373625333681, 0.012781692859854222, 0.01277958020310198, 0.01277740313419666, 0.012775166637956074, 0.012772875822425315, 0.012770535908792659, 0.012768152221789527, 0.012765730180671394, 0.012763275290878603, 0.012760793136479917, 0.012758289373506732, 0.012755769724291516, 0.012753239972932848, 0.01275070596201968, 0.012748173590760699, 0.012745648814681244, 0.012743137647071509, 0.012740646162395196, 0.012738180501899886, 0.012735746881710044, 0.012733351603731667, 0.012731001069757119, 0.012728701799231846, 0.012726460451233683, 0.012724283851325726, 0.012722179024078033, 0.012720153232219802, 0.012718214023587571, 0.012716369287287265, 0.012714627320799553, 0.012712996910144013, 0.012711487425696732, 0.01271010893685153, 0.012708872349457136, 0.012707789570887499, 0.012706873708757886, 0.012706139310742839, 0.012705602654755042, 0.012705282100995953, 0.012705198520194567, 0.012705375815836062, 0.012705841562488948, 0.012706627787621215, 0.012707771930697513, 0.012709318020978118, 0.012711318124297636, 0.012713834118974126, 0.012716939871263063, 0.012720723890066546, 0.012725292546312128, 0.012730773939804822, 0.012737322477325456, 0.012745124176949531, 0.012754402613835572, 0.012765425239998088, 0.012778509498816034, 0.012794027653362653, 0.012812408485955926, 0.012834132945960135, 0.012859719426640735, 0.012889692802001085, 0.012924530131586629, 0.012964576043029896, 0.013009923870150012, 0.013060266723911052, 0.013114737292681139, 0.013171775115604738, 0.013229078802957516, 0.013283705338917094, 0.013332354530888721, 0.013371818924971933, 0.013399505291470867, 0.013413881741507136, 0.013414712204851688, 0.01340301270697611, 0.013380764827920732, 0.013350497194722527, 0.013314863587337739, 0.013276312308918308, 0.013236886272926223, 0.013198146142470793, 0.01316118341563894, 0.013126685182270125, 0.013095019125371732, 0.013066318133157019, 0.013040553695775501, 0.013017594210340487, 0.012997248391010335, 0.012979295903526616, 0.01296350792853493, 0.012949660238549736, 0.01293754095839089, 0.01292695469638931, 0.012917724292153253, 0.012909691065680512, 0.012902714176469522, 0.012896669499353518, 0.012891448280934921, 0.012886955742105409, 0.012883109725946645, 0.01287983944680228, 0.0128770843684517, 0.012874793222049973, 0.012872923164296293, 0.012871439070725152, 0.012870312956442786, 0.012869523515961103, 0.012869055774295545, 0.012868900842728081, 0.012868977734111732, 0.012869209158930316, 0.012869597383525475, 0.012870146233428652, 0.012870861167580469, 0.012871749385890066, 0.012872819974027202, 0.012874084090817136, 0.012875555205399458, 0.012877249393536074, 0.012879185705269447, 0.012881386619751226, 0.01288387860777533, 0.012886692828760846, 0.012889865997202469, 0.01289344146474264, 0.012897470579166601, 0.012902014402452037, 0.012907145898972221, 0.012912952745719738, 0.012919540974522881, 0.012927039740171684, 0.012935607631427417, 0.012945441125139043, 0.012956786061275694, 0.012969953445052265, 0.012985341556947264, 0.013003467437824965, 0.013025012609557454, 0.013050890933288808, 0.01308235182697174, 0.013121141691135606, 0.01316976450531461, 0.013231918182736771, 0.013313257016228482, 0.013422792601754061, 0.013575627836239999, 0.013798700196138911, 0.014144009821293943, 0.014722918138719116, 0.015810315422381, 0.018239098327219035, 0.025448686560793635, 0.05677256340212665, 0.060243712319524217, 0.024999680528893564, 0.01743532268334996, 0.015092840422846678, 0.0141123624964496, 0.013619930895596103, 0.013341391102095392, 0.013170173596489667, 0.013058268623134511, 0.012981601315541741, 0.012927076818068296, 0.012887103640303887, 0.012857048912567693, 0.012833963391937974, 0.012815902096952048, 0.012801543285057506, 0.012789965292395617, 0.012780510886724545, 0.012772702117952062, 0.012766185340492413, 0.012760694822903458, 0.012756028122354164, 0.012752029087496024, 0.012748575915867063, 0.012745572626428741, 0.012742942880777602, 0.012740625445859985, 0.012738570820992565, 0.012736738701978074, 0.012735096054621458, 0.012733615637033981, 0.012732274855997034, 0.012731054874471529, 0.012729939909675582, 0.012728916677021938, 0.012727973946603671, 0.012727102187187225, 0.012726293278730864, 0.012725540278926466, 0.012724837232602513, 0.012724179015337019, 0.012723561204530286, 0.012722979972638177, 0.012722431998380272, 0.012721914392598715, 0.012721424636113454, 0.012720960527443009, 0.012720520138673015, 0.012720101778079949, 0.012719703958377321, 0.012719325369658217, 0.012718964856274365, 0.012718621397025731, 0.012718294088143291, 0.012717982128635225, 0.012717684807639379, 0.012717401493483039, 0.012717131624199929, 0.012716874699294257, 0.012716630272574213, 0.01271639794590561, 0.012716177363758401, 0.012715968208438426, 0.012715770195912621, 0.012715583072149325, 0.012715406609906766, 0.012715240605912387, 0.012715084878383704, 0.012714939264848448, 0.01271480362022763, 0.012714677815150016, 0.012714561734471119, 0.012714455275973275, 0.012714358349226684, 0.012714270874594254, 0.012714192782365057, 0.012714124012003909, 0.012714064511505788, 0.012714014236846179, 0.012713973151519273, 0.012713941226157514, 0.012713918438227308, 0.012713904771796599, 0.01271390021737104, 0.0127139047717966, 0.01271391843822731, 0.012713941226157511, 0.012713973151519276, 0.012714014236846189, 0.012714064511505793, 0.012714124012003919, 0.012714192782365063, 0.012714270874594247, 0.012714358349226681, 0.012714455275973275, 0.012714561734471131, 0.012714677815150019, 0.012714803620227625, 0.012714939264848442, 0.012715084878383699, 0.012715240605912394, 0.012715406609906768, 0.01271558307214932, 0.012715770195912622, 0.012715968208438433, 0.012716177363758404, 0.012716397945905612, 0.012716630272574202, 0.012716874699294256, 0.012717131624199934, 0.012717401493483035, 0.012717684807639375, 0.012717982128635227, 0.012718294088143281, 0.012718621397025736, 0.012718964856274363, 0.012719325369658223, 0.012719703958377317, 0.012720101778079956, 0.01272052013867302, 0.012720960527443008, 0.012721424636113456, 0.012721914392598715, 0.012722431998380267, 0.012722979972638181, 0.01272356120453029, 0.012724179015337012, 0.012724837232602511, 0.012725540278926474, 0.01272629327873087, 0.012727102187187225, 0.012727973946603672, 0.012728916677021942, 0.012729939909675575, 0.012731054874471527, 0.012732274855997034, 0.012733615637033981, 0.01273509605462146, 0.012736738701978072, 0.012738570820992574, 0.012740625445859978, 0.0127429428807776, 0.012745572626428751, 0.01274857591586707, 0.012752029087496028, 0.012756028122354159, 0.012760694822903455, 0.012766185340492406, 0.012772702117952062, 0.012780510886724545, 0.012789965292395615, 0.012801543285057506, 0.012815902096952037, 0.012833963391937974, 0.012857048912567684, 0.012887103640303899, 0.012927076818068296, 0.01298160131554176, 0.013058268623134478, 0.013170173596489615, 0.01334139110209513, 0.013619930895595763, 0.014112362496449321, 0.015092840422845387, 0.017435322683350386, 0.024999680528884367, 0.06024371231949556, 0.056772563402174216, 0.025448686560799981, 0.01823909832721806, 0.015810315422381527, 0.014722918138719059, 0.01414400982129412, 0.01379870019613906, 0.013575627836240027, 0.013422792601754184, 0.013313257016228498, 0.013231918182736866, 0.013169764505314659, 0.013121141691135667, 0.013082351826971803, 0.01305089093328882, 0.013025012609557489, 0.013003467437824972, 0.012985341556947272, 0.012969953445052265, 0.012956786061275708, 0.012945441125139043, 0.012935607631427419, 0.012927039740171684, 0.012919540974522874, 0.012912952745719738, 0.012907145898972211, 0.012902014402452037, 0.0128974705791666, 0.012893441464742644, 0.012889865997202465, 0.012886692828760836, 0.012883878607775331, 0.012881386619751219, 0.012879185705269448, 0.012877249393536074, 0.012875555205399456, 0.012874084090817139, 0.0128728199740272, 0.012871749385890066, 0.012870861167580471, 0.012870146233428649, 0.012869597383525468, 0.012869209158930315, 0.01286897773411173, 0.012868900842728088, 0.01286893927334996, 0.012869054758994275, 0.012869247882763609, 0.012869519622413537, 0.012869871359334128, 0.012870304891336195, 0.012870822449461057, 0.012871426719104632, 0.012872120865827117, 0.012872908566309675, 0.012873794045022424, 0.012874782117287797, 0.012875878239562294, 0.012877088567924475, 0.012878420025951378, 0.01287988038339951, 0.01288147834738612, 0.012883223668106047, 0.012885127261530575, 0.012887201352038634, 0.012889459638547523, 0.012891917488473169, 0.01289459216479418, 0.012897503092672194, 0.012900672173556959, 0.012904124156563985, 0.012907887079269816, 0.012911992793073684, 0.012916477592129019, 0.012921382969824171, 0.012926756533262362, 0.012932653114664116, 0.012939136129798252, 0.012946279248424467, 0.012954168461694596, 0.012962904658492515, 0.012972606859655881, 0.01298341631008566, 0.012995501700072212, 0.013009065887967949, 0.013024354640611748, 0.013041668117233918, 0.013061376130758095, 0.01308393868141022, 0.013109933959086465, 0.013140097098736869, 0.013175374694701297, 0.013217002866866999, 0.013266621296217954, 0.01332644353585039, 0.013399517778619899, 0.01349013752266125, 0.013604509387986161, 0.01375187993769748, 0.013946520317187237, 0.01421140258900889, 0.014585431772969133, 0.015138746603626118, 0.016008125131811695, 0.017488629777579104, 0.02030676559133477, 0.02658355099331557, 0.043561173804351677, 0.081712346920193787, 0.062207445994793296, 0.032143052591873472, 0.0217853041336676, 0.017751995271598497, 0.01585626918609306, 0.014834780767169441, 0.014228220174484666, 0.01384142154900452, 0.013581023231335473, 0.013398113854501629, 0.013265174541618747, 0.013165809956765704, 0.01308978303013208, 0.013030447196450653, 0.01298334217951343, 0.012945389012696745, 0.012914409609978524, 0.012888829879851666, 0.012867490603791328, 0.012849523698721884, 0.012834269316446953, 0.012821219114541833, 0.012809976691326712, 0.012800229513803855, 0.012791728687214647, 0.012784274167134463, 0.01277770380842078, 0.012771885158029999, 0.012766709236078177, 0.012762085775229781, 0.012757939541842926, 0.012754207467971177, 0.012750836397107368, 0.012747781298712471, 0.012745003843866015, 0.012742471261326696, 0.012740155412967427, 0.012738032042048143, 0.0127360801585692, 0.012734281534030344, 0.012732620284027146, 0.012731082521766517, 0.012729656069147536, 0.01272833021480612, 0.012727095510659092, 0.01272594360015431, 0.01272486707274644, 0.012723859340156431, 0.012722914530796901, 0.012722027399404923, 0.012721193249451635, 0.012720407866324652, 0.012719667459623654, 0.012718968613190534, 0.012718308241723935, 0.012717683553016109, 0.012717092015004096, 0.012716531326954796, 0.012715999394209148, 0.012715494305998283, 0.012715014315917858, 0.012714557824707769, 0.012714123365036243, 0.012713709588030052, 0.012712580399476408, 0.012711597902054748, 0.012710739047857723, 0.012709985095760302, 0.012709320533478823, 0.012708732290897404, 0.012708209160332724, 0.012707741365667095, 0.012707320239809998, 0.012706937981824366, 0.012706587473210938, 0.012706262138517053, 0.012705955839428441, 0.012705662794341781, 0.012705377517455782, 0.01270509477289777, 0.012704809540485112, 0.012704516990520026, 0.012704212465611818, 0.012703891467970047, 0.012703549650956398, 0.012703182813954161, 0.012702786899835674, 0.012702357994501503, 0.012701892328148905, 0.012701386278121927, 0.0127008363734249, 0.012700239301276487, 0.012699591916487221, 0.012698891255024035, 0.012698134553980656, 0.012697319281456692, 0.012696443181807088, 0.012695504344754197, 0.012694501311611534, 0.012693433239447306, 0.012692300156292391, 0.012691103360747205, 0.012689846053425911, 0.012688534346356133, 0.012687178900077182, 0.012685797626486256, 0.012684420248974681, 0.012683096200039544, 0.012681908736590076, 0.012681001144089436, 0.012680627673413814, 0.012681258293312202, 0.012683809750363425, 0.012690202700149396, 0.012704871342481921, 0.012739563132249167, 0.012832629797133354, 0.013163139719510018, 0.015591213362280249, 0.053505137572434407, 0.014874363842142286, 0.013451251579813871, 0.013103399161671612, 0.012961970090073079, 0.012888820526604214, 0.012845260098317091, 0.012816817489230244, 0.01279701435122718, 0.012782569224189726, 0.012771662660413534, 0.012763213630880874, 0.012756543795623739, 0.01275120824857226, 0.01274690430557671, 0.012743419580890933, 0.012740601041029831, 0.012738335827306994, 0.012736538965618821, 0.012735145256582025, 0.01273410378520216, 0.012733374118798225, 0.012732923620509718, 0.012732725516647588, 0.012732757483829805, 0.01273300060113876, 0.012733438562941261, 0.012734057080731581, 0.012734843424009573, 0.012735786064787803, 0.012736874400301471, 0.01273809853542905, 0.012739449111214671, 0.012740917169368378, 0.012742494045135444, 0.012744171282762881, 0.012745940569145657, 0.012747793682243514, 0.012749722451617033, 0.01275171872900464, 0.012753774367299554, 0.012755881206620665, 0.012758031066429629, 0.01276021574284592, 0.012762427010466419, 0.012764656628115668, 0.012766896348045363, 0.012769137928172927, 0.01277137314700316, 0.012773593820916996, 0.012775791823542427, 0.012777959106943015, 0.012780087724374578, 0.012782169854369977, 0.012784197825917189, 0.012786164144497939, 0.012788061518754893, 0.012789882887554106, 0.012791621447207597, 0.012793270678619887, 0.012794824374121046, 0.012796276663748923, 0.012797622040745542, 0.012798855386035025, 0.012799971991457477, 0.012800967581540356, 0.012801838333599748, 0.012802580895977364, 0.012803192404233985, 0.012803670495139261, 0.012804013318317055, 0.012804219545428649, 0.012804288376800603, 0.012804242485263745, 0.012804104941253308, 0.012803876136154045, 0.012803556720891705, 0.012803147603868987, 0.012802649948094933, 0.012802065167525882, 0.01280139492264182, 0.012800641115286254, 0.012799805882802126, 0.012798891591500629, 0.012797900829503328, 0.012796836399001277, 0.012795701307977707, 0.0127944987614432, 0.012793232152234579, 0.012791905051429343, 0.012790521198429647, 0.012789084490769166, 0.012787598973697011, 0.012786068829592134, 0.012784498367260637, 0.012782892011167779, 0.012781254290653823, 0.012779589829181707, 0.012777903333661909, 0.012776199583897021, 0.012774483422185848, 0.012772759743123724, 0.012771033483632257, 0.012769309613248297, 0.012767593124698329, 0.012765889024780245, 0.012764202325571445, 0.012762538035977294, 0.012760901153630374, 0.012759296657147029, 0.012757729498743129, 0.012756204597206812, 0.012754726831221955, 0.012753301033031239, 0.012751931982423487, 0.01275062440102491, 0.012749382946869343, 0.012748212209217132, 0.012747116703586865, 0.012746100866958491, 0.0127451690530999, 0.012744325527962239, 0.012743574465081842, 0.012742919940918453, 0.012742365930050291, 0.012741916300136734, 0.012741574806548264, 0.012741345086551132, 0.012741230652921017, 0.012741234886844949, 0.012741361029954944, 0.012741612175319416, 0.012741991257199509, 0.012742501039358037, 0.012743144101688, 0.012743922824906426, 0.012744839373038792, 0.012745895673399019, 0.012747093393752757, 0.01274843391633709, 0.012749918308401409, 0.012751547288933022, 0.012753321191240743, 0.012755239921092773, 0.012757302910146767, 0.012759509064473148, 0.012761856708063353, 0.012764343521338234, 0.012766966474832796, 0.012769721758438329, 0.012772604706836046, 0.012775609722060779, 0.012778730194491592, 0.012781958423976466, 0.01278528554325619, 0.012788701446347625, 0.012792194725064021, 0.012795752617365843, 0.012799360971721139, 0.012803004232069988, 0.01280666544828994, 0.012810326317196197, 0.012813967259028535, 0.012817567534023416, 0.012821105402997034, 0.012824558334837003, 0.012827903262400983, 0.012831116886556046, 0.01283417602600311, 0.012837058008187073, 0.012839741094107049, 0.012842204927348496, 0.012844430995330617, 0.012846403088775216, 0.012848107743935883, 0.012849534651339907, 0.012850677014809964, 0.012851531845419421, 0.012852100176797531, 0.012852387190773048, 0.012852402245592361, 0.012852158802676945, 0.012851674251860182, 0.012850969639007819, 0.012850069303629539, 0.012849000437303391, 0.012847792576284987, 0.012846477043440508, 0.012845086355578295, 0.012843653612377083, 0.012842211882496702, 0.012840793601235719, 0.012839429992425801, 0.012838150525296403, 0.012836982414973571, 0.012835950173248102, 0.012835075214385833, 0.012834375519153746, 0.012833865358954064, 0.012833555081018778, 0.012833450955006454], [0.012941197531236494, 0.012941136361217903, 0.012940952998587529, 0.012940647885127625, 0.012940221755499481, 0.012939675634793488, 0.01293901083512726, 0.012938228951318615, 0.012937331855668475, 0.012936321691895522, 0.012935200868270578, 0.012933972050005554, 0.012932638150957229, 0.012931202324710999, 0.012929667955114731, 0.012928038646336957, 0.012926318212526988, 0.012924510667157402, 0.01292262021213258, 0.012920651226748117, 0.01291860825658854, 0.012916496002451207, 0.012914319309386595, 0.012912083155944994, 0.012909792643721552, 0.012907452987292518, 0.012905069504636713, 0.012902647608138713, 0.012900192796272325, 0.012897710646066662, 0.012895206806461909, 0.012892686992667407, 0.012890156981643221, 0.012887622608836195, 0.01288508976631436, 0.012882564402459558, 0.012880052523398732, 0.012877560196378928, 0.012875093555321843, 0.012872658808832175, 0.012870262250980044, 0.012867910275235041, 0.012865609391999272, 0.012863366250272111, 0.012861187664083926, 0.012859080644464081, 0.012857052437865578, 0.012855110572161273, 0.012853262911563509, 0.012851517722110793, 0.012849883749724469, 0.012848370313282533, 0.012846987415706695, 0.012845745876738543, 0.012844657491922351, 0.012843735223355657, 0.0128429934290614, 0.012842448139434814, 0.012842117391194213, 0.01284202163169549, 0.012842184209445573, 0.012842631970261986, 0.01284339598285927, 0.012844512422752525, 0.012846023649238187, 0.012847979516684514, 0.012850438968023157, 0.012853471964307646, 0.012857161807860208, 0.012861607914982875, 0.012866929082604193, 0.012873267263680505, 0.012880791806317985, 0.012889704002836429, 0.0129002416107366, 0.012912682712197299, 0.012927347829863944, 0.012944598573984294, 0.012964830244104124, 0.012988454803657347, 0.013015869694513444, 0.013047407528212417, 0.013083262613959559, 0.013123393750758621, 0.013167409946820946, 0.013214457112313244, 0.013263137372318918, 0.013311502848235178, 0.013357163638496665, 0.013397527185828446, 0.01343014353655435, 0.013453082855213294, 0.013465243439373784, 0.013466501112729075, 0.013457663046953623, 0.013440255238283728, 0.013416220183869055, 0.013387611500180755, 0.013356349982398151, 0.013324069690808581, 0.013292051226089818, 0.013261221323213222, 0.013232193022832833, 0.013205324176028314, 0.01318077880217145, 0.013158582462790912, 0.013138667837133423, 0.013120909853329348, 0.013105151396741024, 0.013091221280043542, 0.013078946244701545, 0.013068158568826656, 0.013058700562323527, 0.01305042693228959, 0.013043205742266398, 0.013036918481001983, 0.013031459598204453, 0.01302673574880763, 0.013022664904627319, 0.013019175434750001, 0.013016205216778253, 0.0130137008148938, 0.013011616743664852, 0.01300991482577739, 0.013008563645392532, 0.013007538095217864, 0.013006819013661217, 0.013006392907951751, 0.013006251759422417, 0.013006323823313508, 0.013006540696736301, 0.013006904437424485, 0.013007418516970348, 0.01300808788536823, 0.013008919064434379, 0.013009920273356131, 0.013011101590846733, 0.013012475159856691, 0.013014055442612487, 0.013015859536043691, 0.013017907560583167, 0.013020223139108965, 0.013022833987747326, 0.013025772646803376, 0.013029077388834333, 0.013032793352685038, 0.013036973968406152, 0.0130416827601674, 0.013046995645218698, 0.013053003890607519, 0.013059817951752234, 0.01306757250737354, 0.013076433138224798, 0.013086605295709087, 0.01309834650850333, 0.013111983243314213, 0.013127934576261832, 0.013146746029633199, 0.013169138917501932, 0.01319608393815121, 0.013228913729040708, 0.013269500004601441, 0.013320541599683742, 0.01338605088500237, 0.013472212230411767, 0.013588978374740374, 0.01375323171602783, 0.013995547163334728, 0.014376135316036175, 0.015027473915717203, 0.01628941475135684, 0.0192534975871573, 0.028848471861491136, 0.070566926577745534, 0.047734882690847344, 0.022376966919978983, 0.0167723284649385, 0.014901290056181076, 0.01408232115379076, 0.013659339335072946, 0.0134155718865781, 0.013263753530931966, 0.013163581022644675, 0.013094467259713546, 0.013045054523125418, 0.013008684407944634, 0.012981256822584436, 0.012960142481848159, 0.012943596878879235, 0.012930428506134743, 0.01291980298544344, 0.012911123197498035, 0.012903953593637538, 0.012897971077605899, 0.012892932348633783, 0.012888651715787293, 0.012884985731986464, 0.012881822364459014, 0.012879073241030664, 0.012876668018400381, 0.012874550237676112, 0.012872674237499424, 0.012871002829287395, 0.012869505528444845, 0.012868157195786106, 0.012866936984820998, 0.012865827519343623, 0.012864814246018699, 0.012863884921079096, 0.012863029200625048, 0.012862238311557372, 0.012861504785712848, 0.012860822243867486, 0.012860185219333851, 0.012859589013181426, 0.012859029574855413, 0.012858503403302603, 0.012858007464738726, 0.01285753912398477, 0.012857096086917111, 0.012856676352060328, 0.012856278169731689, 0.012855900007448092, 0.012855540520545496, 0.012855198527152693, 0.012854872986814739, 0.012854562982185848, 0.012854267703311351, 0.01285398643410072, 0.012853718540659614, 0.01285346346120405, 0.012853220697324533, 0.012852989806404794, 0.012852770395031079, 0.01285256211325269, 0.012852364649576304, 0.012852177726594015, 0.012852001097160063, 0.012851834541043645, 0.012851677861995864, 0.012851530885177606, 0.012851393454902903, 0.012851265432658684, 0.012851146695367176, 0.012851037133862179, 0.01285093665155421, 0.012850845163263071, 0.012850762594199575, 0.012850688879080288, 0.012850623961362162, 0.012850567792584901, 0.012850520331811825, 0.012850481545160625, 0.012850451405417143, 0.012850429891726779, 0.012850416989358843, 0.012850412689540647, 0.012850416989358843, 0.012850429891726784, 0.012850451405417143, 0.012850481545160624, 0.012850520331811832, 0.012850567792584902, 0.012850623961362171, 0.01285068887908029, 0.012850762594199559, 0.012850845163263076, 0.012850936651554208, 0.012851037133862191, 0.01285114669536718, 0.012851265432658682, 0.012851393454902897, 0.012851530885177603, 0.012851677861995869, 0.012851834541043652, 0.01285200109716006, 0.012852177726594015, 0.012852364649576309, 0.012852562113252699, 0.012852770395031084, 0.012852989806404789, 0.012853220697324527, 0.012853463461204055, 0.012853718540659611, 0.012853986434100717, 0.012854267703311354, 0.012854562982185838, 0.012854872986814748, 0.012855198527152691, 0.012855540520545498, 0.012855900007448082, 0.012856278169731698, 0.012856676352060333, 0.012857096086917113, 0.01285753912398477, 0.012858007464738723, 0.012858503403302598, 0.012859029574855414, 0.012859589013181431, 0.012860185219333842, 0.012860822243867486, 0.012861504785712859, 0.012862238311557375, 0.012863029200625044, 0.012863884921079097, 0.012864814246018702, 0.01286582751934362, 0.012866936984820998, 0.012868157195786108, 0.012869505528444848, 0.012871002829287397, 0.01287267423749942, 0.012874550237676124, 0.012876668018400374, 0.01287907324103066, 0.012881822364459021, 0.01288498573198647, 0.012888651715787293, 0.012892932348633783, 0.0128979710776059, 0.012903953593637532, 0.012911123197498037, 0.012919802985443438, 0.012930428506134743, 0.012943596878879235, 0.012960142481848151, 0.012981256822584442, 0.013008684407944622, 0.013045054523125432, 0.013094467259713537, 0.013163581022644703, 0.013263753530931921, 0.01341557188657802, 0.013659339335072573, 0.014082321153790215, 0.014901290056180634, 0.016772328464935912, 0.022376966919980756, 0.04773488269081224, 0.070566926577772526, 0.028848471861504729, 0.019253497587159541, 0.016289414751356444, 0.015027473915717484, 0.014376135316036164, 0.013995547163334844, 0.013753231716027936, 0.013588978374740383, 0.013472212230411864, 0.013386050885002389, 0.013320541599683813, 0.013269500004601481, 0.013228913729040762, 0.013196083938151262, 0.013169138917501941, 0.013146746029633227, 0.013127934576261838, 0.013111983243314224, 0.013098346508503327, 0.013086605295709102, 0.013076433138224798, 0.013067572507373545, 0.013059817951752237, 0.01305300389060751, 0.0130469956452187, 0.01304168276016739, 0.013036973968406149, 0.013032793352685038, 0.013029077388834335, 0.013025772646803373, 0.013022833987747317, 0.013020223139108974, 0.01301790756058316, 0.013015859536043691, 0.01301405544261249, 0.013012475159856689, 0.013011101590846737, 0.013009920273356124, 0.013008919064434379, 0.013008087885368237, 0.013007418516970345, 0.01300690443742448, 0.013006540696736299, 0.013006323823313504, 0.013006251759422428, 0.013006287777716936, 0.013006396009039441, 0.013006576984244671, 0.013006831593241302, 0.013007161092805858, 0.013007567117699754, 0.013008051695272615, 0.013008617263794804, 0.013009266694828828, 0.013010003320023862, 0.013010830962802207, 0.013011753975504664, 0.013012777282675261, 0.013013906431299346, 0.013015147648966581, 0.013016507911118249, 0.013017995018762376, 0.01301961768831072, 0.013021385655517775, 0.013023309795899364, 0.013025402264492484, 0.013027676658413471, 0.013030148206404225, 0.013032833990465193, 0.013035753205805339, 0.013038927466755876, 0.013042381168078217, 0.013046141913353352, 0.013050241025015103, 0.013054714154272411, 0.013059602013915809, 0.013064951263170484, 0.013070815581824271, 0.013077256981487161, 0.013084347415957829, 0.013092170771586765, 0.013100825344093982, 0.013110426943194774, 0.013121112814499949, 0.013133046635220604, 0.013146424934779598, 0.013161485426471019, 0.013178517931739252, 0.013197878865594665, 0.013220010679648828, 0.013245468308459629, 0.013274955668071542, 0.013309376837432167, 0.013349909103346484, 0.013398109261981263, 0.013456071719150791, 0.013526669436440599, 0.013613931393973577, 0.0137236527621398, 0.013864417436687353, 0.014049384774006874, 0.014299568677113536, 0.014650217197874314, 0.015164130780203344, 0.015961980412400281, 0.017299211839776236, 0.019789684518663832, 0.025174427587388207, 0.039353878411354133, 0.076207107300665933, 0.070743902149882326, 0.035459083527484968, 0.022977491949162838, 0.018316100181347751, 0.016194089170551328, 0.015075924765847532, 0.014422599832244351, 0.014011036959398884, 0.013736613174138804, 0.013545348297968055, 0.013407237598320375, 0.013304580114901101, 0.013226413701783587, 0.01316567013429757, 0.01311763428466581, 0.013079068048107814, 0.013047691165802571, 0.013021862364075171, 0.01300037733291641, 0.012982337183338213, 0.012967060696757559, 0.012954024509984674, 0.012942821544900044, 0.012933131608446674, 0.012924700267727138, 0.012917323450314551, 0.012910836068918873, 0.01290510351623976, 0.012900015234377409, 0.012895479802321077, 0.012891421147050596, 0.012887775595138456, 0.01288448955930145, 0.012881517709050308, 0.012878821513612323, 0.012876368073449274, 0.012874129177200851, 0.012872080535969116, 0.012870201158055303, 0.012868472835640689, 0.012866879721225749, 0.01286540797644811, 0.012864045479580173, 0.012862781580843478, 0.012861606896877924, 0.012860513137421488, 0.012859492958605055, 0.012858539838331422, 0.012857647970052913, 0.012856812171935924, 0.012856027808941239, 0.012855290725784035, 0.01285459718908951, 0.012853943837345854, 0.012853327637489673, 0.012852745847149814, 0.012852195981732418, 0.012851675785659751, 0.012851183207182142, 0.012850716376271894, 0.01285027358518159, 0.012849853271311829, 0.012849454002084933, 0.01284836981631112, 0.012847433409080455, 0.012846620671201058, 0.012845912143046104, 0.01284529183038215, 0.012844746345230012, 0.012844264276173883, 0.012843835722736424, 0.01284345194846007, 0.012843105120811054, 0.012842788115222237, 0.012842494366952419, 0.012842217758891971, 0.012841952536595022, 0.012841693244070565, 0.012841434675490586, 0.012841171839157041, 0.01284089993093974, 0.012840614315042707, 0.012840310510440845, 0.012839984181697994, 0.012839631133165767, 0.012839247305796183, 0.012838828776002923, 0.012838371756195694, 0.012837872596811267, 0.012837327789898014, 0.012836733974610574, 0.01283608794538376, 0.01283538666414704, 0.012834627278817066, 0.012833807151626894, 0.01283292390287522, 0.012831975478826314, 0.012830960257453906, 0.012829877213666678, 0.012828726178583289, 0.012827508248858459, 0.012826226438326286, 0.012824886727003444, 0.012823499774006963, 0.012822083764871635, 0.012820669249246899, 0.012819307581763478, 0.012818086130899938, 0.012817156769362048, 0.012816791830065288, 0.012817500585069228, 0.012820289969276089, 0.01282730489547841, 0.012843605515389659, 0.012883009853343268, 0.012992803663760356, 0.013413956507301272, 0.017362827113719847, 0.030612039634336043, 0.014555232202923802, 0.013499842678279864, 0.013208488739996525, 0.013083714972452434, 0.01301727073997567, 0.012976955048736159, 0.012950285317640069, 0.012931537852102841, 0.012917762830726006, 0.012907303090099274, 0.012899163827422523, 0.01289271559992417, 0.012887542734368988, 0.012883360804255992, 0.012879969253988412, 0.012877222959651713, 0.012875014495784204, 0.012873262709349758, 0.012871905144329192, 0.012870892891636376, 0.012870187009281728, 0.012869755984397758, 0.012869573901901634, 0.012869619102033785, 0.012869873182269974, 0.012870320245847501, 0.012870946329595446, 0.012871738963972684, 0.012872686831870359, 0.012873779502106055, 0.01287500722006318, 0.012876360742536404, 0.012877831207139196, 0.012879410029012644, 0.012881088819318433, 0.01288285932128715, 0.012884713360553482, 0.012886642807233161, 0.012888639547743875, 0.01289069546479104, 0.012892802424259947, 0.01289495226800386, 0.012897136811708749, 0.01289934784716427, 0.012901577148385355, 0.012903816481117596, 0.012906057615327989, 0.012908292340334594, 0.012910512482266968, 0.012912709923578684, 0.012914876624352648, 0.012917004645154219, 0.012919086171195471, 0.012921113537578978, 0.012923079255390716, 0.01292497603841224, 0.012926796830220508, 0.012928534831441687, 0.012930183526923881, 0.012931736712592342, 0.012933188521750558, 0.012934533450592865, 0.012935766382696359, 0.012936882612267008, 0.012937877865921606, 0.012938748322798399, 0.012939490632802111, 0.01294010193280435, 0.012940579860639246, 0.012940922566753594, 0.012941128723393827, 0.012941197531236494, 0.012941151655389055, 0.012941014158408077, 0.012940785431562234, 0.01294046612558491, 0.012940057148611833, 0.012939559663312717, 0.012938975083235256, 0.012938305068385031, 0.012937551520069672, 0.012936716575039597, 0.012935802598962376, 0.012934812179270913, 0.012933748117429169, 0.012932613420662068, 0.012931411293198285, 0.012930145127077283, 0.012928818492572167, 0.012927435128282415, 0.012925998930949778, 0.012924513945051192, 0.012922984352222267, 0.012921414460563468, 0.01291980869388067, 0.012918171580909018, 0.012916507744567896, 0.012914821891292075, 0.012913118800481354, 0.012911403314108063, 0.012909680326518909, 0.012907954774463926, 0.01290623162738181, 0.012904515877967442, 0.012902812533042977, 0.012901126604750721, 0.012899463102081361, 0.012897827022746989, 0.012896223345404734, 0.012894657022231916, 0.01289313297184953, 0.012891656072586615, 0.012890231156073163, 0.012888863001144881, 0.012887556328038032, 0.0128863157928477, 0.012885145982217482, 0.01288405140822293, 0.012883036503405207, 0.012882105615904901, 0.012881263004638988, 0.012880512834456492, 0.012879859171199892, 0.012879305976590446, 0.012878857102845609, 0.012878516286925655, 0.012878287144294722, 0.012878173162068343, 0.012878177691405162, 0.012878303938984986, 0.012878554957399027, 0.012878933634260072, 0.012879442679822301, 0.012880084612881594, 0.01288086174470811, 0.012881776160745028, 0.012882829699790812, 0.012884023930368768, 0.012885360123978193, 0.012886839224918721, 0.012888461816384819, 0.012890228082544719, 0.012892137766349596, 0.012894190122869572, 0.012896383868026228, 0.012898717122692194, 0.012901187352261721, 0.012903791301966665, 0.012906524928424659, 0.012909383328164254, 0.012912360664177201, 0.012915450091901728, 0.012918643686438944, 0.012921932373241161, 0.012925305864973787, 0.012928752607724449, 0.012932259740189484, 0.01293581306987907, 0.012939397070708803, 0.012942994906546344, 0.012946588485307487, 0.012950158547999762, 0.012953684796646926, 0.012957146064257932, 0.012960520528903391, 0.012963785972528102, 0.012966920083378417, 0.012969900798908685, 0.012972706683831391, 0.012975317335703826, 0.012977713808235919, 0.012979879040516578, 0.012981798278751632, 0.012983459476036935, 0.012984853655287473, 0.012985975220795143, 0.012986822205032222, 0.012987396439230983, 0.012987703638866475, 0.012987753398304576, 0.012987559092360493, 0.012987137686124032, 0.012986509457915799, 0.012985697643427619, 0.012984728011781715, 0.012983628386280461, 0.01298242812392854, 0.012981157568371215, 0.012979847490744397, 0.012978528532158874, 0.012977230660266835, 0.012975982650728798, 0.012974811602567462, 0.012973742494508139, 0.012972797787596, 0.012971997077750878, 0.012971356800550119, 0.012970889989459075, 0.012970606087971747, 0.012970510815665581], [0.013061755911461817, 0.013061694815816751, 0.013061511676022441, 0.013061206933008072, 0.013060781320014673, 0.013060235860147505, 0.013059571862977463, 0.013058790920218319, 0.013057894900514943, 0.01305688594338442, 0.013055766452357988, 0.013054539087378841, 0.013053206756515999, 0.013051772607059569, 0.013050240016067548, 0.013048612580438409, 0.013046894106587254, 0.013045088599805891, 0.013043200253390621, 0.013041233437622573, 0.013039192688688001, 0.013037082697626377, 0.013034908299396469, 0.013032674462150262, 0.013030386276806584, 0.013028048947016995, 0.013025667779617703, 0.01302324817566374, 0.013020795622143288, 0.013018315684473973, 0.013015813999887443, 0.013013296271813728, 0.013010768265385419, 0.013008235804190922, 0.013005704768418723, 0.01300318109454985, 0.01300067077677582, 0.01299817987034285, 0.012995714497053062, 0.012993280853190176, 0.012990885220181459, 0.012988533978362759, 0.012986233624280115, 0.012983990792042871, 0.012981812279342995, 0.012979705078876523, 0.012977676416051867, 0.012975733794051123, 0.012973885047533064, 0.012972138406539165, 0.012970502572498547, 0.012968986808638831, 0.012967601047615181, 0.012966356019791653, 0.012965263406373348, 0.012964336022528168, 0.012963588036791361, 0.012963035234459842, 0.012962695334408823, 0.012962588370857481, 0.012962737154130115, 0.012963167827457307, 0.012963910540365263, 0.012965000263193917, 0.012966477771653643, 0.012968390834800728, 0.012970795643822442, 0.01297375852154333, 0.012977357951808427, 0.01298168696089662, 0.01298685586510253, 0.012992995362202577, 0.013000259878624113, 0.013008830972920363, 0.013018920418253865, 0.013030772315724404, 0.013044663199255541, 0.013060898563686401, 0.013079803594989009, 0.013101705191359577, 0.013126901854540291, 0.013155618122261939, 0.01318794156640527, 0.013223743818131899, 0.013262593241619972, 0.013303675516603131, 0.013345747421039377, 0.01338715402026153, 0.013425934261860364, 0.013460020476536463, 0.013487505968660407, 0.013506923418630993, 0.013517462013211374, 0.013519064490944088, 0.013512383160446539, 0.01349861858841256, 0.013479295328608048, 0.013456035073002614, 0.013430372499367824, 0.013403634914096331, 0.013376885198814388, 0.013350914550397542, 0.013326267278281024, 0.013303281621327361, 0.01328213486121487, 0.013262885582373702, 0.01324550959251633, 0.013229928474309108, 0.013216031141124726, 0.013203689419369119, 0.013192768864755074, 0.01318313595658193, 0.013174662642931361, 0.01316722901124929, 0.013160724673423833, 0.013155049298467539, 0.013150112602569529, 0.013145834012784132, 0.01314214215189858, 0.013138974242721785, 0.013136275495396194, 0.013133998517463158, 0.013132102770290531, 0.013130554084838297, 0.013129324242938469, 0.013128390626112761, 0.013127735931604496, 0.013127347954170624, 0.013127219431856142, 0.013127287059056131, 0.013127490561824148, 0.013127831814581329, 0.013128313978106447, 0.013128941555906701, 0.013129720475713256, 0.013130658198835403, 0.01313176386112656, 0.013133048450537387, 0.013134525027730775, 0.013136208998109338, 0.013138118445986079, 0.013140274544689665, 0.013142702060374795, 0.013145429972534399, 0.013148492241144824, 0.013151928759662939, 0.013155786545663635, 0.013160121238087104, 0.013164998993809903, 0.013170498909441605, 0.01317671614120499, 0.013183765963061546, 0.013191789101068026, 0.013200958826291357, 0.013211490505087773, 0.013223654636018725, 0.013237794916999997, 0.013254353703878142, 0.01327390855198388, 0.013297225753452054, 0.01332534059978341, 0.013359680871331308, 0.013402262515148105, 0.013456010360402866, 0.013525304734519671, 0.013616956788522868, 0.013742046195413152, 0.01391961941202375, 0.014184762319354031, 0.014608131454390135, 0.015350020808215551, 0.016840217539872079, 0.020556100531172496, 0.033868796988201347, 0.082020322214359662, 0.037778613388934845, 0.020409344522652306, 0.016234754068640264, 0.014737744700685061, 0.014054097777354699, 0.013691373634851858, 0.013478492539412055, 0.013344190470479208, 0.013254737512366768, 0.013192585192799889, 0.013147913903010622, 0.01311490191620043, 0.013089931688647529, 0.013070666077692228, 0.013055544829366066, 0.013043496778633741, 0.013033768560745574, 0.013025819053838627, 0.013019252327063593, 0.013013773899010917, 0.013009161522155652, 0.013005245254997362, 0.013001893610601147, 0.012999003763556659, 0.012996494518649713, 0.012994301191013091, 0.012992371829924805, 0.012990664400598416, 0.012989144657970055, 0.012987784526394305, 0.01298656085334568, 0.012985454442485446, 0.012984449297418686, 0.012983532025780271, 0.012982691366354182, 0.012981917811350576, 0.012981203302825969, 0.012980540987274384, 0.012979925016157568, 0.012979350382938432, 0.012978812789289603, 0.01297830853474872, 0.01297783442531561, 0.012977387697428028, 0.012976965954481503, 0.012976567113627531, 0.012976189361029088, 0.01297583111410373, 0.012975490989561939, 0.012975167776269961, 0.012974860412142811, 0.012974567964415607, 0.012974289612755709, 0.012974024634771245, 0.012973772393546983, 0.012973532326900388, 0.012973303938101238, 0.012973086787839443, 0.012972880487260785, 0.012972684691917856, 0.012972499096507738, 0.012972323430287407, 0.0129721574530743, 0.012972000951753302, 0.012971853737223121, 0.012971715641724573, 0.012971586516501816, 0.012971466229754505, 0.012971354664844722, 0.01297125171872777, 0.012971157300580191, 0.012971071330602173, 0.012970993738974756, 0.012970924464954901, 0.012970863456094169, 0.01297081066756855, 0.012970766061609303, 0.012970729607025886, 0.01297070127881373, 0.01297068105784107, 0.012970668930610028, 0.012970664889088475, 0.012970668930610031, 0.012970681057841073, 0.012970701278813725, 0.012970729607025888, 0.012970766061609308, 0.012970810667568552, 0.012970863456094175, 0.012970924464954903, 0.012970993738974751, 0.012971071330602171, 0.012971157300580186, 0.012971251718727778, 0.012971354664844729, 0.012971466229754503, 0.012971586516501809, 0.012971715641724571, 0.012971853737223128, 0.012972000951753309, 0.012972157453074297, 0.012972323430287404, 0.012972499096507748, 0.012972684691917861, 0.012972880487260788, 0.012973086787839438, 0.012973303938101231, 0.012973532326900395, 0.012973772393546981, 0.012974024634771243, 0.012974289612755714, 0.012974567964415599, 0.012974860412142812, 0.012975167776269964, 0.01297549098956194, 0.012975831114103725, 0.012976189361029096, 0.012976567113627532, 0.012976965954481501, 0.012977387697428028, 0.012977834425315608, 0.012978308534748717, 0.012978812789289607, 0.01297935038293844, 0.012979925016157565, 0.012980540987274383, 0.012981203302825975, 0.012981917811350581, 0.012982691366354181, 0.012983532025780269, 0.012984449297418686, 0.012985454442485439, 0.012986560853345677, 0.012987784526394309, 0.012989144657970056, 0.012990664400598418, 0.012992371829924805, 0.012994301191013103, 0.012996494518649707, 0.012999003763556657, 0.013001893610601153, 0.013005245254997366, 0.013009161522155657, 0.013013773899010917, 0.013019252327063595, 0.013025819053838619, 0.013033768560745574, 0.013043496778633734, 0.013055544829366062, 0.013070666077692224, 0.013089931688647513, 0.013114901916200435, 0.01314791390301061, 0.013192585192799909, 0.013254737512366764, 0.013344190470479238, 0.013478492539412008, 0.013691373634851768, 0.014054097777354113, 0.014737744700684136, 0.016234754068639248, 0.020409344522645728, 0.037778613388937662, 0.082020322214372068, 0.033868796988213774, 0.020556100531177221, 0.01684021753987305, 0.015350020808215395, 0.014608131454390341, 0.014184762319354036, 0.013919619412023845, 0.013742046195413235, 0.013616956788522882, 0.01352530473451974, 0.013456010360402882, 0.013402262515148157, 0.013359680871331341, 0.013325340599783452, 0.013297225753452095, 0.013273908551983888, 0.013254353703878166, 0.013237794916999997, 0.013223654636018729, 0.01321149050508777, 0.013200958826291371, 0.013191789101068026, 0.013183765963061556, 0.013176716141204994, 0.013170498909441599, 0.013164998993809903, 0.013160121238087095, 0.013155786545663635, 0.013151928759662935, 0.013148492241144826, 0.013145429972534399, 0.013142702060374779, 0.013140274544689669, 0.013138118445986073, 0.01313620899810934, 0.013134525027730774, 0.013133048450537385, 0.013131763861126564, 0.013130658198835401, 0.013129720475713254, 0.013128941555906702, 0.013128313978106444, 0.013127831814581324, 0.013127490561824147, 0.013127287059056126, 0.013127219431856147, 0.01312725323305183, 0.013127354797825903, 0.013127524611083753, 0.013127763485502902, 0.013128072568359805, 0.013128453351236797, 0.013128907682763468, 0.013129437784596347, 0.013130046270896974, 0.013130736171629936, 0.013131510960072919, 0.013132374585011538, 0.013133331508184989, 0.013134386747657966, 0.013135545927922253, 0.013136815337684099, 0.013138201996474117, 0.013139713731433925, 0.013141359265894475, 0.013143148321677333, 0.013145091737433367, 0.01314720160580253, 0.013149491432752139, 0.013151976323159672, 0.013154673197582432, 0.013157601046247152, 0.013160781227657776, 0.013164237820934772, 0.01316799804317044, 0.013172092745844726, 0.013176557007879543, 0.013181430847460984, 0.013186760080661265, 0.013192597362601647, 0.013199003457043315, 0.013206048793750922, 0.013213815390975794, 0.013222399244702757, 0.013231913319409478, 0.013242491320650557, 0.01325429249316847, 0.013267507777444527, 0.013282367784715584, 0.013299153234014247, 0.01331820876360449, 0.013339961429035062, 0.013364945804850757, 0.01339383853867504, 0.013427506670410537, 0.013467076380647806, 0.013514032700706438, 0.013570367252409236, 0.013638802459951544, 0.013723141139040235, 0.013828828585408372, 0.013963888759849588, 0.014140548548097471, 0.014378193952671772, 0.014709064959621803, 0.015190003726428744, 0.015928812361994719, 0.017149917905235415, 0.019381141499656716, 0.024080226866590799, 0.036105458414457794, 0.069763449105666397, 0.078680002972918522, 0.039152369244861998, 0.024237749112282689, 0.018880972456778115, 0.016518005249058321, 0.015299840040967251, 0.014599178946580631, 0.014162969635542515, 0.013874779982249263, 0.013675412500117739, 0.013532341836304534, 0.013426559459405829, 0.013346384666350252, 0.013284335166021032, 0.013235447590831714, 0.013196329962168536, 0.013164603897482958, 0.013138564015120278, 0.013116963240556889, 0.013098873643686665, 0.013083593980003876, 0.013070586895735599, 0.013059435430729439, 0.013049812348487335, 0.01304145815971401, 0.013034165142732517, 0.013027765567695478, 0.01302212291138681, 0.013017125228536765, 0.013012680097733551, 0.01300871073039498, 0.013005152948076608, 0.013001952814571073, 0.012999064766380016, 0.012996450125816413, 0.012994075910275932, 0.012991913872511829, 0.01298993972238564, 0.012988132492153691, 0.012986474016009266, 0.012984948501124029, 0.012983542172385907, 0.012982242976816459, 0.012981040336567017, 0.012979924941651129, 0.012978888575332878, 0.01297792396647101, 0.01297702466420873, 0.012976184931262314, 0.012975399652749964, 0.012974664258053513, 0.012973974653648855, 0.012973327165199363, 0.012972718487497347, 0.012972145641075555, 0.012971605934504579, 0.01297109693155132, 0.012970616422504857, 0.01297016239908472, 0.012969733032436327, 0.012969326653794019, 0.012968941737453995, 0.01296790234767029, 0.01296701208957878, 0.012966245682901825, 0.012965582878048708, 0.012965007152645492, 0.012964504771471493, 0.012964064101267516, 0.012963675106677151, 0.012963328976487054, 0.012963017844647115, 0.01296273458094147, 0.012962472633324458, 0.01296222590890752, 0.012961988684082767, 0.012961755536758695, 0.01296152129547213, 0.012961281001436866, 0.012961029880538252, 0.012960763322983224, 0.012960476868838436, 0.012960166198085236, 0.012959827124127649, 0.012959455589936698, 0.012959047666225087, 0.012958599551242893, 0.01295810757198866, 0.012957568186867954, 0.012956977990136499, 0.012956333718884919, 0.012955632263927479, 0.012954870686856322, 0.012954046246884508, 0.012953156443197835, 0.012952199081810009, 0.012951172381101786, 0.012950075138567305, 0.01294890699493282, 0.012947668854539837, 0.012946363559536732, 0.012944996982701528, 0.012943579823935621, 0.012942130616730028, 0.012940680872117999, 0.012939284121059514, 0.012938032340540057, 0.01293708700691109, 0.012936740730700844, 0.012937547161411923, 0.012940616196616291, 0.012948352964448843, 0.012966561330053234, 0.013011609022068439, 0.01314245273046004, 0.013691031246594147, 0.020805103111471379, 0.02233475583257135, 0.014355266946097629, 0.013548239879355065, 0.013301422039836383, 0.013190686792766523, 0.013130114013323986, 0.013092711410935622, 0.013067662067735292, 0.013049892692566166, 0.01303674528578402, 0.013026707769531673, 0.013018863407742175, 0.01301262748728328, 0.013007611308700413, 0.01300354741737386, 0.013000246325733459, 0.012997570352034287, 0.012995417209023341, 0.012993709373952646, 0.012992387008273893, 0.012991403124356435, 0.01299072021353013, 0.012990307847617632, 0.012990140943129135, 0.012990198485424827, 0.012990462577866943, 0.012990917724352308, 0.01299155028196409, 0.012992348039359414, 0.012993299889297269, 0.012994395572510982, 0.012995625476273949, 0.012996980475355014, 0.012998451806176016, 0.01300003096724239, 0.013001709640573221, 0.01300347963008233, 0.013005332813777236, 0.013007261107332621, 0.013009256437118321, 0.013011310721162224, 0.013013415856835736, 0.013015563714287377, 0.013017746134833254, 0.013019954933656552, 0.013022181906277951, 0.013024418838344579, 0.01302665751835054, 0.013028889752951897, 0.013031107384575627, 0.013033302311050224, 0.013035466507003841, 0.013037592046789339, 0.013039671128703207, 0.013041696100269798, 0.013043659484363101, 0.013045554005938292, 0.013047372619143387, 0.013049108534578803, 0.013050755246471186, 0.013052306559526093, 0.013053756615223967, 0.013055099917325716, 0.013056331356356506, 0.013057446232843035, 0.013058440279086503, 0.013059309679264471, 0.013060051087667529, 0.013060661644892165, 0.013061138991829663, 0.013061481281310655, 0.013061687187287545, 0.013061755911461817, 0.013061710091399871, 0.013061572761626191, 0.013061344312962634, 0.013061025395400177, 0.013060616916040033, 0.013060120036230104, 0.013059536167915085, 0.013058866969223907, 0.013058114339322593, 0.013057280412565027, 0.013056367551978452, 0.013055378342124002, 0.013054315581375805, 0.013053182273665266, 0.013051981619739157, 0.013050717007982746, 0.013049392004859484, 0.013048010345021165, 0.013046575921141607, 0.013045092773527809, 0.013043565079561659, 0.013041997143024406, 0.013040393383355121, 0.01303875832489208, 0.01303709658614444, 0.013035412869139128, 0.013033711948884761, 0.013031998662991925, 0.013030277901485577, 0.013028554596842167, 0.013026833714280192, 0.013025120242329434, 0.01302341918369984, 0.013021735546467553, 0.013020074335590937, 0.013018440544765425, 0.013016839148622098, 0.013015275095269988, 0.013013753299177987, 0.013012278634387822, 0.013010855928044537, 0.013009489954226567, 0.013008185428052143, 0.013006947000033946, 0.013005779250648358, 0.013004686685079833, 0.013003673728094989, 0.013002744718994458, 0.013001903906583304, 0.01300115544409338, 0.013000503383982533, 0.012999951672526523, 0.012999504144109565, 0.01299916451510862, 0.012998936377254543, 0.012998823190340701, 0.012998828274135378, 0.01299895479933969, 0.012999205777416992, 0.012999584049102916, 0.013000092271388541, 0.013000732902751959, 0.013001508186396926, 0.013002420131241964, 0.013003470490390063, 0.013004660736799685, 0.013005992035872896, 0.013007465214679256, 0.013009080727545813, 0.01301083861776783, 0.013012738475234445, 0.013014779389822439, 0.013016959900493428, 0.013019277940139394, 0.013021730776363547, 0.013024314948561074, 0.013027026201882544, 0.013029859418923014, 0.013032808550283756, 0.013035866545499824, 0.013039025286210301, 0.013042275523861403, 0.013045606824661353, 0.013049007524932106, 0.01305246470040115, 0.013055964153315947, 0.013059490421507169, 0.013063026813634139, 0.013066555474772958, 0.013070057486212159, 0.013073513002764032, 0.013076901430054374, 0.013080201643103849, 0.013083392246068238, 0.013086451871290976, 0.013089359513898825, 0.013092094896124611, 0.013094638853483279, 0.013096973732989086, 0.013099083791928572, 0.013100955584439786, 0.01310257832242147, 0.013103944197211878, 0.013105048649094488, 0.013105890573019729, 0.01310647245093261, 0.013106800403666142, 0.013106884158352171, 0.013106736930529734, 0.013106375223394372, 0.013105818549723633, 0.013105089084750049, 0.013104211260478569, 0.013103211313555812, 0.013102116799740052, 0.013100956088292266, 0.013099757849262022, 0.013098550545764844, 0.013097361942060355, 0.013096218636676035, 0.013095145628118206, 0.013094165918996949, 0.01309330016277791, 0.013092566355947183, 0.013091979577198244, 0.013091551774352934, 0.013091291599118524, 0.013091204289442883], [0.013167588716038589, 0.013167527740036754, 0.013167344958782662, 0.013167040812037902, 0.013166616031100243, 0.013166071636360164, 0.013165408933908017, 0.01316462951121878, 0.013163735231949443, 0.013162728229891053, 0.013161610902123285, 0.01316038590142677, 0.013159056128013165, 0.013157624720638569, 0.01315609504717021, 0.013154470694680931, 0.013152755459148933, 0.013150953334843445, 0.013149068503479891, 0.013147105323229333, 0.013145068317669734, 0.013142962164766549, 0.013140791685972883, 0.013138561835538852, 0.013136277690121757, 0.013133944438789503, 0.013131567373510511, 0.013129151880226057, 0.013126703430602406, 0.013124227574563782, 0.013121729933711778, 0.013119216195741608, 0.013116692109973939, 0.013114163484129943, 0.013111636182489436, 0.013109116125586745, 0.013106609291618318, 0.013104121719758825, 0.013101659515611203, 0.013099228859051737, 0.013096836014773544, 0.013094487345884706, 0.013092189330981188, 0.013089948585192163, 0.013087771885790493, 0.013085666203076034, 0.013083638737380077, 0.013081696963210376, 0.013079848681764612, 0.013078102083295337, 0.013076465821120003, 0.013074949099450082, 0.013073561777677574, 0.01307231449432507, 0.01307121881455818, 0.013070287406004227, 0.013069534248648625, 0.013068974885824527, 0.013068626724810796, 0.013068509397343898, 0.013068645192463844, 0.013069059576569102, 0.013069781818334352, 0.013070845739172533, 0.013072290613014698, 0.013074162241975933, 0.013076514236314601, 0.013079409526852409, 0.013082922133856052, 0.01308713920535081, 0.01309216331541881, 0.013098114972487036, 0.013105135219276462, 0.013113388096825336, 0.013123062578253939, 0.013134373335345959, 0.013147559367368106, 0.013162879095692184, 0.013180600043013583, 0.013200980772590173, 0.01322424257122797, 0.01325052877886969, 0.013279851202180008, 0.013312026234000421, 0.013346608387687581, 0.013382835382205308, 0.013419604720901398, 0.013455503416932708, 0.013488906194311296, 0.013518141276043791, 0.013541699930118977, 0.013558445255426588, 0.013567768358811585, 0.013569652307926519, 0.013564632092247338, 0.013553669704608627, 0.013537983923910904, 0.013518877983829029, 0.013497597737010184, 0.013475236162071715, 0.013452684834398692, 0.013430623413643553, 0.013409534660687835, 0.013389733220946998, 0.013371399203292569, 0.013354610779938721, 0.013339372732817309, 0.013325639779665345, 0.013313334674576877, 0.013302361674236823, 0.013292616187392942, 0.013283991438519535, 0.013276382885403113, 0.013269691000884326, 0.013263822897433811, 0.013258693156595131, 0.013254224129439759, 0.013250345899100919, 0.01324699603965419, 0.01324411926374979, 0.013241667021194689, 0.013239597089291073, 0.013237873180860261, 0.013236464585734917, 0.013235345854741804, 0.013234496530832252, 0.013233900929327106, 0.013233547967708884, 0.013233431044646325, 0.013233494583502248, 0.013233685767771329, 0.013234006310141058, 0.013234459097335286, 0.013235048239545173, 0.013235779141813831, 0.013236658599684648, 0.013237694922277509, 0.013238898086976199, 0.01324027993115362, 0.013241854387908201, 0.013243637774735988, 0.01324564914655699, 0.013247910727736624, 0.01325044844194867, 0.013253292564268623, 0.013256478527258692, 0.013260047922708943, 0.013264049754131146, 0.0132685420135117, 0.013273593681336364, 0.013279287284647801, 0.013285722198622433, 0.013293018950083266, 0.01330132488772242, 0.013310821741306496, 0.013321735829279074, 0.0133343520377446, 0.013349033262332914, 0.013366247912900624, 0.01338660956775798, 0.01341093536243293, 0.013440334021749214, 0.013476342178465321, 0.013521141983756667, 0.013577920842564359, 0.013651490730044867, 0.013749406511487657, 0.013884103645770883, 0.014077277073150306, 0.014369655097356961, 0.014845340851517569, 0.015701876458296574, 0.017496568119384538, 0.022303266829164427, 0.041590502164039145, 0.080645964363253206, 0.030695751059223474, 0.018932339900580453, 0.015799630987584364, 0.014598703022851593, 0.014027937411774822, 0.013717212969646389, 0.013531609020343907, 0.013413032220661633, 0.013333318628885203, 0.013277547794775484, 0.013237252231388977, 0.013207355213200649, 0.013184673306101947, 0.013167134384097239, 0.013153346483681182, 0.013142348978594212, 0.013133463267208512, 0.013126200106998798, 0.013120200391238162, 0.01311519630804665, 0.013110985276453751, 0.013107412094795042, 0.013104356487029314, 0.01310172426932006, 0.01309944098935161, 0.013097447282844052, 0.013095695440791687, 0.013094146842275623, 0.013092770014058147, 0.013091539149433956, 0.013090432967287281, 0.013089433825736284, 0.01308852702810214, 0.013087700275454328, 0.013086943231790774, 0.013086247176442635, 0.013085604724517778, 0.013085009600780866, 0.013084456455772241, 0.013083940715517876, 0.01308345845810643, 0.01308300631187256, 0.013082581371045338, 0.013082181125583065, 0.013081803402585229, 0.013081446317193464, 0.013081108231303181, 0.01308078771872956, 0.013080483535728002, 0.01308019459597224, 0.013079919949256844, 0.013079658763321438, 0.013079410308300165, 0.013079173943385258, 0.013078949105363738, 0.013078735298743132, 0.013078532087228549, 0.013078339086352671, 0.013078155957091078, 0.013077982400322312, 0.01307781815201365, 0.013077662979031764, 0.013077516675492848, 0.01307737905957948, 0.013077249970762095, 0.013077129267372346, 0.013077016824483043, 0.013076912532055856, 0.0130768162933237, 0.013076728023379348, 0.013076647647945716, 0.013076575102307203, 0.013076510330383814, 0.013076453283933186, 0.013076403921867055, 0.01307636220967162, 0.013076328118922247, 0.013076301626884917, 0.013076282716198335, 0.013076271374631547, 0.013076267594913465, 0.013076271374631547, 0.013076282716198338, 0.013076301626884911, 0.013076328118922247, 0.013076362209671632, 0.013076403921867059, 0.013076453283933193, 0.013076510330383814, 0.013076575102307196, 0.013076647647945722, 0.013076728023379348, 0.013076816293323712, 0.013076912532055856, 0.013077016824483038, 0.013077129267372338, 0.013077249970762086, 0.013077379059579486, 0.01307751667549286, 0.013077662979031759, 0.013077818152013648, 0.013077982400322321, 0.013078155957091083, 0.013078339086352671, 0.013078532087228542, 0.013078735298743132, 0.013078949105363748, 0.013079173943385253, 0.013079410308300161, 0.013079658763321445, 0.013079919949256837, 0.013080194595972247, 0.013080483535728006, 0.013080787718729558, 0.013081108231303174, 0.013081446317193475, 0.013081803402585232, 0.013082181125583065, 0.013082581371045341, 0.013083006311872564, 0.013083458458106429, 0.013083940715517876, 0.013084456455772246, 0.013085009600780862, 0.013085604724517778, 0.013086247176442641, 0.013086943231790778, 0.013087700275454327, 0.01308852702810214, 0.013089433825736286, 0.013090432967287277, 0.013091539149433947, 0.013092770014058144, 0.013094146842275625, 0.013095695440791691, 0.013097447282844052, 0.013099440989351618, 0.013101724269320054, 0.01310435648702931, 0.013107412094795051, 0.013110985276453756, 0.013115196308046652, 0.01312020039123816, 0.013126200106998796, 0.013133463267208509, 0.013142348978594212, 0.01315334648368118, 0.013167134384097234, 0.01318467330610195, 0.013207355213200628, 0.013237252231388982, 0.013277547794775468, 0.013333318628885231, 0.013413032220661626, 0.013531609020343949, 0.013717212969646321, 0.014027937411774672, 0.014598703022850625, 0.015799630987582601, 0.01893233990057834, 0.030695751059202435, 0.080645964363257827, 0.041590502164061488, 0.022303266829167855, 0.017496568119386512, 0.015701876458297188, 0.014845340851517492, 0.014369655097357114, 0.014077277073150315, 0.013884103645770968, 0.01374940651148771, 0.013651490730044877, 0.013577920842564414, 0.013521141983756675, 0.01347634217846537, 0.013440334021749245, 0.013410935362432963, 0.013386609567758015, 0.01336624791290063, 0.013349033262332936, 0.013334352037744602, 0.013321735829279074, 0.013310821741306489, 0.013301324887722432, 0.013293018950083259, 0.013285722198622436, 0.013279287284647803, 0.013273593681336359, 0.0132685420135117, 0.013264049754131138, 0.013260047922708941, 0.013256478527258687, 0.013253292564268623, 0.013250448441948672, 0.013247910727736617, 0.013245649146556992, 0.013243637774735985, 0.013241854387908199, 0.013240279931153618, 0.013238898086976198, 0.013237694922277513, 0.013236658599684646, 0.013235779141813835, 0.013235048239545178, 0.013234459097335284, 0.013234006310141051, 0.013233685767771329, 0.013233494583502247, 0.013233431044646334, 0.013233462802769784, 0.013233558224857896, 0.013233717755243674, 0.013233942138432285, 0.013234232425088794, 0.013234589980547678, 0.013235016495974319, 0.013235514002350899, 0.013236084887505935, 0.013236731916458419, 0.013237458255406013, 0.01323826749975392, 0.013239163706658119, 0.01324015143264669, 0.013241235776988018, 0.013242422431599236, 0.013243717738435232, 0.013245128755474561, 0.013246663332628776, 0.013248330199155412, 0.013250139064460769, 0.013252100734551698, 0.013254227246848781, 0.013256532026630921, 0.013259030069066452, 0.013261738151634471, 0.013264675082795286, 0.013267861994086914, 0.013271322684482178, 0.013275084027933719, 0.013279176457695208, 0.013283634544408509, 0.013288497689324056, 0.013293810959691775, 0.013299626100758166, 0.013306002768528225, 0.013313010040332541, 0.013320728277447329, 0.013329251437206239, 0.013338689963593027, 0.01334917442865741, 0.0133608601573076, 0.013373933152617298, 0.013388617759067337, 0.013405186674452625, 0.013423974174455263, 0.013445393789708568, 0.01346996224216299, 0.013498332318496762, 0.013531338722678242, 0.013570063133682763, 0.013615928273941527, 0.013670836817233283, 0.0137373813995358, 0.013819170674101142, 0.013921351036739594, 0.014051470803334104, 0.014220970015399355, 0.014447871808460751, 0.014761921609317764, 0.015215077278629217, 0.015904741945308418, 0.0170307245337145, 0.019054070953777157, 0.023217865793743499, 0.033581052173846146, 0.063542242409509328, 0.085141282022088871, 0.043207759813150531, 0.025562267818482132, 0.019444515368035788, 0.016827699761220817, 0.015507149634249788, 0.014759046075650111, 0.014298543994058423, 0.013996972378535626, 0.013789823261265101, 0.013642042591844494, 0.013533325732786494, 0.013451286963977264, 0.013388041336353145, 0.013338385997509753, 0.013298781598384084, 0.013266756416113025, 0.013240544479778142, 0.013218858551232407, 0.013200743595321198, 0.013185479794412074, 0.013172516903427411, 0.013161428918881083, 0.013151882205879269, 0.013143612718652626, 0.013136409476546857, 0.0131301024139149, 0.013124553334283922, 0.013119649098115358, 0.013115296438114796, 0.013111417974420137, 0.013107949124009307, 0.01310483568327837, 0.013102031922164355, 0.013099499070418295, 0.013097204106980698, 0.013095118785445642, 0.013093218844753982, 0.013091483366208446, 0.013089894246822852, 0.013088435765728804, 0.013087094225450556, 0.013085857653744228, 0.013084715554685055, 0.013083658699998876, 0.013082678953434464, 0.013081769122384505, 0.013080922832074151, 0.013080134418516727, 0.013079398837136626, 0.013078711584520637, 0.013078068631209284, 0.013077466363803908, 0.013076901534960224, 0.013076371220079453, 0.013075872779704498, 0.013075403826789856, 0.013074962198146899, 0.013074545929475469, 0.013074153233484331, 0.013073782480678229, 0.013072787612104599, 0.013071943531894212, 0.013071223665330782, 0.013070606892736002, 0.013070076111799264, 0.013069617207003933, 0.013069218302687426, 0.013068869216429893, 0.013068561055710451, 0.013068285918200534, 0.013068036667815501, 0.01306780676667736, 0.013067590148700865, 0.013067381124408278, 0.013067174309333672, 0.013066964570347839, 0.013066746985656694, 0.013066516815261112, 0.013066269479427576, 0.01306600054328407, 0.013065705706081964, 0.013065380793992682, 0.013065021755569754, 0.013064624659228035, 0.013064185692295388, 0.013063701161401811, 0.013063167494213336, 0.01306258124282904, 0.013061939089587872, 0.01306123785665197, 0.013060474521657187, 0.013059646243128057, 0.013058750401529455, 0.013057784665239462, 0.013056747096157957, 0.013055636318439794, 0.013054451788259615, 0.013053194226653552, 0.013051866318749798, 0.013050473854928751, 0.013049027619283116, 0.013047546571254636, 0.013046063327443083, 0.013044633870258213, 0.013043355330041665, 0.01304239991532901, 0.013042082984478171, 0.013043008358656282, 0.013046403747278015, 0.013054977252376115, 0.013075420882732678, 0.013127267142305169, 0.013284934031443974, 0.014018481103647057, 0.02890227035052776, 0.018802192132511004, 0.014227002295524222, 0.013594308304308099, 0.013383111528412752, 0.013284300521904402, 0.013228893407275412, 0.013194114356249148, 0.013170549189791561, 0.013153687320797152, 0.01314112825526966, 0.013131489898147776, 0.01312392630570049, 0.01311789373144919, 0.013113028387394433, 0.013109078605424712, 0.013105865257037604, 0.013103257664174485, 0.013101158398766294, 0.01309949338645747, 0.0130982052851535, 0.013097248946797679, 0.013096588239892345, 0.013096193782077195, 0.013096041294398286, 0.013096110388505196, 0.013096383660641329, 0.013096846006550115, 0.013097484097822241, 0.013098285977845979, 0.013099240747503555, 0.013100338319023113, 0.013101569222181947, 0.013102924451160026, 0.013104395343290486, 0.013105973483093983, 0.013107650626555818, 0.013109418641770086, 0.013111269462947297, 0.013113195055439904, 0.013115187389940625, 0.013117238424391209, 0.013119340092434017, 0.013121484297466511, 0.013123662911534972, 0.013125867778441033, 0.013128090720540369, 0.013130323548795019, 0.013132558075703573, 0.013134786130781326, 0.013136999578297524, 0.013139190337003401, 0.013141350401602333, 0.013143471865725606, 0.013145546946184587, 0.013147568008273765, 0.013149527591899522, 0.013151418438309226, 0.013153233517192806, 0.013154966053926435, 0.01315660955672599, 0.013158157843476237, 0.013159605068001234, 0.013160945745543232, 0.013162174777219399, 0.013163287473232504, 0.013164279574618246, 0.013165147273322918, 0.013165887230417932, 0.013166496592272698, 0.013166973004526242, 0.013167314623717244, 0.013167520126455034, 0.013167588716038589, 0.013167542985713166, 0.013167405924906228, 0.013167177923712131, 0.013166859630912686, 0.013166451951923225, 0.013165956045935994, 0.013165373322279112, 0.013164705436014716, 0.013163954282804367, 0.013163121993074114, 0.013162210925516001, 0.013161223659966142, 0.013160162989702932, 0.013159031913211782, 0.013157833625464962, 0.0131565715087676, 0.013155249123221255, 0.013153870196858769, 0.01315243861550333, 0.013150958412405446, 0.013149433757710769, 0.013147868947810695, 0.013146268394626792, 0.01314463661487765, 0.013142978219375269, 0.013141297902395641, 0.01313960043116497, 0.013137890635500426, 0.013136173397640963, 0.013134453642300179, 0.013132736326969595, 0.013131026432497077, 0.013129328953960684, 0.013127648891854984, 0.013125991243601925, 0.013124360995394388, 0.01312276311437654, 0.013121202541160042, 0.013119684182671208, 0.013118212905319287, 0.013116793528471447, 0.013115430818215089, 0.013114129481383132, 0.013112894159812588, 0.013111729424801245, 0.013110639771721508, 0.013109629614744088, 0.013108703281617801, 0.013107865008444408, 0.013107118934379887, 0.013106469096185002, 0.013105919422539093, 0.01310547372802107, 0.013105135706650945, 0.013104908924873433, 0.013104796813852963, 0.013104802660935848, 0.013104929600121039, 0.013105180601366305, 0.013105558458541017, 0.013106065775821185, 0.013106704952307428, 0.013107478164631713, 0.013108387347306611, 0.013109434170560421, 0.013110620015396287, 0.013111945945612935, 0.013113412676532692, 0.013115020540200245, 0.013116769446846359, 0.013118658842457652, 0.013120687662360162, 0.013122854280814295, 0.013125156456736243, 0.013127591275809862, 0.013130155089436397, 0.013132843451191187, 0.013135651051717157, 0.013138571653284949, 0.013141598025586178, 0.013144721884693421, 0.013147933837508577, 0.013151223334415185, 0.013154578633230742, 0.013157986777896027, 0.013161433595610233, 0.013164903716286359, 0.013168380618224233, 0.013171846703737947, 0.013175283408093978, 0.013178671344484749, 0.01318199048686014, 0.013185220391260941, 0.013188340454859719, 0.013191330210253163, 0.013194169650730884, 0.013196839580355273, 0.013199321980838466, 0.013201600385516935, 0.013203660249337248, 0.013205489302801889, 0.013207077877390861, 0.013208419190151918, 0.013209509575976991, 0.01321034865754433, 0.013210939444944964, 0.013211288359519704, 0.013211405179261932, 0.013211302906116442, 0.013210997558440725, 0.013210507894611532, 0.013209855076098346, 0.01320906228016233, 0.013208154273595934, 0.013207156959562665, 0.01320609690964427, 0.013205000892712565, 0.013203895411304761, 0.013202806254907364, 0.013201758078067411, 0.013200774009673091, 0.01319987529818961, 0.013199080996197347, 0.013198407686327334, 0.013197869249676062, 0.013197476677028372, 0.013197237922726219, 0.013197157800773657], [0.01334664926000877, 0.013346588254326502, 0.013346405383983927, 0.013346101088600624, 0.013345676099236261, 0.013345131435945016, 0.013344468404379868, 0.013343688591473862, 0.013342793860233421, 0.013341786343685868, 0.013340668438029281, 0.013339442795039909, 0.01333811231379747, 0.013336680131794018, 0.013335149615496554, 0.013333524350438056, 0.013331808130914682, 0.013330004949369874, 0.013328118985549187, 0.013326154595510863, 0.013324116300579636, 0.013322008776331645, 0.013319836841700598, 0.013317605448294932, 0.01331531967001766, 0.013312984693081089, 0.013310605806509786, 0.01330818839322725, 0.013305737921823515, 0.013303259939104169, 0.013300760063525806, 0.013298243979627498, 0.013295717433575868, 0.013293186229950111, 0.013290656229904945, 0.013288133350863865, 0.013285623567913752, 0.013283132917093828, 0.013280667500799708, 0.013278233495557351, 0.013275837162462768, 0.013273484860633584, 0.013271183064080028, 0.013268938382476721, 0.013266757586407217, 0.013264647637762134, 0.013262615726105006, 0.013260669311980659, 0.013258816178336847, 0.01325706449146774, 0.013255422873176466, 0.013253900486205065, 0.013252507135406348, 0.01325125338764948, 0.01325015071407714, 0.013249211659089028, 0.01324845004133704, 0.013247881193106386, 0.013247522245750218, 0.013247392470361925, 0.013247513684619973, 0.013247910738712787, 0.013248612095393396, 0.013249650521403478, 0.013251063909507536, 0.01325289625176509, 0.013255198784725147, 0.013258031324784583, 0.013261463805168763, 0.013265578012047629, 0.013270469492006233, 0.013276249560438741, 0.013283047272202126, 0.013291011111460535, 0.013300310004761503, 0.0133111330482459, 0.013323687060661957, 0.013338190739052812, 0.013354863848109778, 0.013373909621022259, 0.013395488580831828, 0.013419682602508995, 0.013446449597840303, 0.013475572038489829, 0.013506606642649398, 0.013538847243288655, 0.013571316416283888, 0.01360280126665858, 0.013631942349021934, 0.013657371495199536, 0.013677877508142705, 0.013692565036595116, 0.013700968828439847, 0.01370309622662827, 0.013699391506763359, 0.013690637481255118, 0.013677823789089107, 0.013662013470631482, 0.013644231833164343, 0.013625389697138907, 0.013606242133178575, 0.013587376654849539, 0.013569221912009608, 0.013552068125997225, 0.013536092333051496, 0.013521383765124934, 0.013507966706244575, 0.013495819649240013, 0.013484890532559557, 0.013475108366406788, 0.013466391793420423, 0.013458655185776727, 0.013451812841163998, 0.013445781758479176, 0.013440483381770896, 0.013435844614162971, 0.0134317983291866, 0.013428283546863859, 0.013425245395149877, 0.013422634942013244, 0.013420408957320247, 0.01341852964474627, 0.013416964370430873, 0.013415685405628016, 0.01341466969409434, 0.013413898650587315, 0.01341335799399985, 0.013413037616887979, 0.013412931492124315, 0.013412991294558394, 0.013413171222469433, 0.013413472846127652, 0.013413898811051206, 0.013414452881513592, 0.013415140003309388, 0.013415966387739425, 0.013416939619496228, 0.013418068791984476, 0.013419364674648599, 0.013420839918161906, 0.013422509304941339, 0.013424390054496761, 0.013426502195750954, 0.013428869021873577, 0.013431517647635022, 0.013434479695182024, 0.013437792142002152, 0.013441498375433326, 0.013445649512475148, 0.013450306063444765, 0.013455540045506368, 0.013461437690737502, 0.013468102948378143, 0.013475662060219492, 0.013484269604155802, 0.01349411657345553, 0.013505441320164617, 0.01351854459280072, 0.013533810529851351, 0.013551736485025832, 0.013572976230564986, 0.013598403910987166, 0.013629211048223918, 0.013667057792054469, 0.013714316286521679, 0.013774476704008512, 0.013852853878569276, 0.013957879872390154, 0.014103613703395882, 0.014314982660843887, 0.014639771466190324, 0.015179454323663539, 0.016181913212180953, 0.018388586434102929, 0.024824749856372563, 0.053578087380750213, 0.065939321994843966, 0.025930226428234587, 0.017900766068156205, 0.015530413269157009, 0.014564521989566473, 0.014088157976899964, 0.013822481969347067, 0.013661116283885484, 0.013556783331293197, 0.013486025305997464, 0.013436194196578559, 0.013400012678029708, 0.013373069354095357, 0.013352573170692879, 0.013336693994933767, 0.01332419488275559, 0.013314217806868485, 0.013306154024080183, 0.013299563056320322, 0.013294120594484364, 0.013289584149708352, 0.013285769896184192, 0.013282536745114787, 0.013279775193868975, 0.013277399391105341, 0.0132753414066828, 0.013273547037822971, 0.013271972701686337, 0.013270583106764319, 0.01326934948961728, 0.013268248266775636, 0.013267259994803323, 0.013266368561390077, 0.01326556055126003, 0.013264824745511985, 0.013264151723632527, 0.013263533545115821, 0.013262963493248259, 0.013262435867764053, 0.013261945816165096, 0.013261489195812586, 0.013261062460648074, 0.013260662567733094, 0.013260286899816728, 0.013259933200928442, 0.013259599522603865, 0.013259284178828587, 0.013258985708159322, 0.013258702841777289, 0.013258434476463075, 0.013258179651669161, 0.013257937530015584, 0.013257707380654999, 0.013257488565050038, 0.013257280524785104, 0.013257082771098844, 0.013256894875875454, 0.013256716463877057, 0.013256547206033573, 0.013256386813636625, 0.013256235033307914, 0.013256091642632565, 0.013255956446364892, 0.013255829273128057, 0.013255709972540707, 0.013255598412713824, 0.013255494478069207, 0.01325539806743814, 0.013255309092404844, 0.01325522747586433, 0.013255153150768724, 0.013255086059039977, 0.013255026150629779, 0.013254973382710785, 0.013254927718985029, 0.01325488912909842, 0.013254857588151181, 0.013254833076296334, 0.013254815578419739, 0.013254805083896364, 0.013254801586418971, 0.013254805083896365, 0.013254815578419742, 0.013254833076296333, 0.013254857588151181, 0.013254889129098424, 0.013254927718985036, 0.013254973382710792, 0.013255026150629786, 0.013255086059039968, 0.013255153150768723, 0.013255227475864328, 0.013255309092404853, 0.013255398067438143, 0.013255494478069205, 0.013255598412713817, 0.013255709972540702, 0.013255829273128066, 0.013255956446364897, 0.013256091642632559, 0.013256235033307912, 0.013256386813636634, 0.01325654720603358, 0.013256716463877062, 0.013256894875875452, 0.013257082771098841, 0.013257280524785114, 0.013257488565050034, 0.013257707380654996, 0.013257937530015588, 0.013258179651669149, 0.013258434476463079, 0.013258702841777289, 0.01325898570815932, 0.013259284178828587, 0.01325959952260387, 0.013259933200928449, 0.013260286899816726, 0.013260662567733096, 0.013261062460648071, 0.013261489195812579, 0.013261945816165098, 0.013262435867764061, 0.013262963493248252, 0.013263533545115825, 0.013264151723632538, 0.013264824745511992, 0.013265560551260023, 0.013266368561390074, 0.013267259994803327, 0.013268248266775629, 0.013269349489617275, 0.013270583106764322, 0.013271972701686337, 0.013273547037822971, 0.0132753414066828, 0.013277399391105353, 0.013279775193868968, 0.013282536745114785, 0.013285769896184199, 0.013289584149708352, 0.013294120594484362, 0.013299563056320324, 0.013306154024080183, 0.013314217806868476, 0.013324194882755592, 0.013336693994933764, 0.013352573170692874, 0.01337306935409536, 0.013400012678029682, 0.013436194196578566, 0.01348602530599744, 0.013556783331293228, 0.013661116283885479, 0.013822481969347138, 0.014088157976899843, 0.014564521989566198, 0.015530413269155304, 0.017900766068152649, 0.025930226428228721, 0.065939321994788233, 0.053578087380746382, 0.024824749856379794, 0.018388586434104341, 0.016181913212181962, 0.015179454323663879, 0.014639771466190271, 0.014314982660843979, 0.014103613703395889, 0.013957879872390206, 0.013852853878569323, 0.013774476704008514, 0.013714316286521725, 0.013667057792054481, 0.013629211048223957, 0.013598403910987185, 0.013572976230565012, 0.013551736485025865, 0.013533810529851359, 0.013518544592800739, 0.013505441320164617, 0.013494116573455537, 0.013484269604155797, 0.013475662060219502, 0.013468102948378143, 0.013461437690737498, 0.013455540045506368, 0.013450306063444757, 0.013445649512475153, 0.013441498375433316, 0.01343779214200215, 0.013434479695182017, 0.013431517647635022, 0.013428869021873575, 0.013426502195750945, 0.013424390054496764, 0.013422509304941332, 0.013420839918161908, 0.013419364674648595, 0.013418068791984473, 0.01341693961949623, 0.013415966387739424, 0.013415140003309386, 0.013414452881513595, 0.013413898811051204, 0.013413472846127646, 0.013413171222469433, 0.013412991294558391, 0.013412931492124325, 0.013412961383006308, 0.013413051191514121, 0.0134132013262723, 0.013413412471800251, 0.013413685593783187, 0.013414021946559154, 0.013414423082932812, 0.013414890866462269, 0.013415427486404827, 0.013416035475550973, 0.013416717731224902, 0.013417477539785958, 0.013418318605029502, 0.013419245080960259, 0.01342026160949782, 0.013421373363776483, 0.013422586097821685, 0.013423906203528931, 0.013425340776041402, 0.013426897688827695, 0.013428585680006891, 0.013430414451766891, 0.013432394785083053, 0.013434538672385966, 0.013436859471367742, 0.013439372083781582, 0.013442093163912571, 0.013445041362419769, 0.013448237612527334, 0.013451705467145324, 0.013455471497525386, 0.013459565766626653, 0.013464022393650372, 0.01346888023042225, 0.013474183675763557, 0.013479983661109605, 0.013486338849979148, 0.01349331710626293, 0.013500997302796093, 0.013509471563882042, 0.013518848065598412, 0.013529254559100127, 0.013540842839521009, 0.01355379446355197, 0.013568328133010971, 0.013584709325997389, 0.013603262996798208, 0.013624390520415868, 0.013648592591421989, 0.013676500604703167, 0.013708920323253332, 0.013746893676819451, 0.013791787865342305, 0.013845426523532621, 0.013910287333944994, 0.013989807634957495, 0.014088871268502333, 0.014214610924494751, 0.014377783320216919, 0.014595236688218402, 0.014894584836187023, 0.01532365653918619, 0.015971179575313799, 0.017016762326747422, 0.018867773428959712, 0.022598675674122652, 0.031641640972756853, 0.058002049440107943, 0.089471809911178868, 0.047683658270077305, 0.027030045327109852, 0.02008657366453831, 0.017205150332536036, 0.015781297540133604, 0.014986583882022822, 0.014502767789770258, 0.014188636440702368, 0.01397434838005295, 0.013822352785041372, 0.013711084311139021, 0.013627480790619713, 0.01356327588241258, 0.013513042718715524, 0.013473105807875779, 0.013440908288248767, 0.013414629651285773, 0.013392947012362887, 0.013374881643475731, 0.013359697761901334, 0.01334683424737875, 0.013335857628537742, 0.013326429115794751, 0.013318281098182356, 0.013311200133293356, 0.013305014466278197, 0.01329958475600654, 0.013294797104028937, 0.013290557758242491, 0.013286789048940274, 0.013283426241725725, 0.01328041507952572, 0.013277709847448568, 0.013275271837871326, 0.013273068124445545, 0.013271070576403978, 0.013269255061163082, 0.013267600795489623, 0.013266089814647291, 0.013264706535811273, 0.01326343739724333, 0.013262270558689032, 0.013261195651507978, 0.013260203569404348, 0.013259286292459409, 0.013258436738602414, 0.013257648637785814, 0.013256916425024646, 0.013256235149170899, 0.013255600394861594, 0.013255008215536263, 0.013254455075787156, 0.013253937801604162, 0.01325345353731904, 0.013252999708251795, 0.013252573988224743, 0.013252174271243304, 0.013251798646753597, 0.013251445377977946, 0.013250504561384348, 0.013249715528844009, 0.01324905042140029, 0.013248487279452031, 0.013248008459935972, 0.013247599508967709, 0.013247248349637352, 0.013246944690964069, 0.013246679594053148, 0.013246445151313332, 0.013246234247863756, 0.01324604038327604, 0.013245857538001811, 0.013245680073157459, 0.013245502655381011, 0.013245320200641154, 0.01324512783243275, 0.013244920850920562, 0.013244694710416663, 0.013244445003186485, 0.013244167448034421, 0.013243857882469271, 0.013243512257524992, 0.013243126634543179, 0.013242697183432853, 0.013242220182136609, 0.013241692017277297, 0.01324110918627323, 0.013240468301643238, 0.013239766098852379, 0.013238999449992392, 0.013238165387034114, 0.013237261140632759, 0.013236284204004968, 0.013235232437056193, 0.013234104235129662, 0.013232898801932666, 0.013231616591754524, 0.013230260030030836, 0.013228834698671412, 0.013227351312507801, 0.013225829074224048, 0.013224301499321819, 0.013222826816652575, 0.013221507186874931, 0.013220525737822311, 0.013220221715747981, 0.013221253088172602, 0.01322497812635271, 0.013234450483236142, 0.013257411010366713, 0.013317312228150078, 0.013509251563885154, 0.014520925132482411, 0.051831927956635229, 0.017118148819168535, 0.014229266041044443, 0.013723129466972631, 0.013540821141744252, 0.013452199810095447, 0.013401340640790594, 0.013368914905794036, 0.013346697391733308, 0.013330666289044068, 0.013318648758165803, 0.013309379145470547, 0.013302075571351057, 0.013296231658220487, 0.013291506485355306, 0.013287662948767444, 0.013284531515332812, 0.013281988015031242, 0.01327993954627771, 0.013278315252925063, 0.013277060125599229, 0.013276130736290607, 0.013275492241225005, 0.013275116235273658, 0.013274979190142691, 0.013275061300405577, 0.013275345619409887, 0.013275817404488039, 0.013276463615511633, 0.013277272527318472, 0.01327823342777534, 0.013279336381010677, 0.013280572040804442, 0.01328193150299813, 0.013283406188578237, 0.013284987751116344, 0.013286668003742943, 0.013288438861941521, 0.013290292299280897, 0.013292220313832551, 0.013294214903497973, 0.013296268048837876, 0.013298371702277496, 0.013300517782780861, 0.013302698175256136, 0.013304904734085965, 0.013307129290278585, 0.013309363661814096, 0.013311599666820785, 0.013313829139262165, 0.013316043946848795, 0.013318236010914433, 0.013320397328012479, 0.013322519993000069, 0.013324596223383955, 0.013326618384705115, 0.013328579016739263, 0.013330470860289566, 0.013332286884345132, 0.013334020313376164, 0.013335664654534229, 0.013337213724524384, 0.013338661675915105, 0.01334000302265375, 0.013341232664557022, 0.013342345910552788, 0.013343338500455959, 0.013344206625072092, 0.013344946944435197, 0.013345556604001113, 0.013346033248636799, 0.013346375034265005, 0.01334658063704678, 0.01334664926000877, 0.013346603507431231, 0.013346466379931058, 0.013346238267791933, 0.013345919820111135, 0.013345511942745447, 0.013345015795454418, 0.013344432788259124, 0.013343764577040134, 0.013343013058402731, 0.013342180363841865, 0.013341268853243564, 0.013340281107763016, 0.013339219922122867, 0.01333808829637816, 0.013336889427196493, 0.013335626698704419, 0.01333430367295156, 0.013332924080046037, 0.013331491808014182, 0.013330010892438116, 0.01332848550592413, 0.013326919947453619, 0.013325318631667591, 0.013323686078133142, 0.013322026900638922, 0.01332034579656388, 0.013318647536360724, 0.013316936953192565, 0.01331521893275797, 0.01331349840333613, 0.013311780326080016, 0.013310069685581849, 0.013308371480730628, 0.013306690715878155, 0.013305032392325066, 0.013303401500134197, 0.013301803010274629, 0.013300241867094659, 0.013298722981117674, 0.013297251222150221, 0.013295831412686499, 0.013294468321588874, 0.01329316665801834, 0.013291931065584153, 0.013290766116675595, 0.013289676306933288, 0.013288666049811004, 0.013287739671172263, 0.013286901403858745, 0.013286155382159822, 0.013285505636104094, 0.013284956085484847, 0.013284510533521388, 0.013284172660047933, 0.013283946014109968, 0.013283834005836407, 0.013283839897442407, 0.01328396679320464, 0.013284217628236701, 0.01328459515587801, 0.013285101933495573, 0.013285740306484863, 0.013286512390243494, 0.013287420049881942, 0.013288464877428774, 0.013289648166286168, 0.013290970882695713, 0.013292433633987704, 0.013294036633410621, 0.013295779661374775, 0.013297662022997666, 0.013299682501912637, 0.013301839310399282, 0.013304130036018547, 0.013306551585090262, 0.013309100123538826, 0.013311771015856491, 0.013314558763193384, 0.013317456941877548, 0.013320458143993803, 0.013323553921998969, 0.013326734739712544, 0.013329989932380146, 0.013333307678841978, 0.013336674989123758, 0.013340077710974237, 0.013343500558966454, 0.013346927169725064, 0.013350340186603218, 0.013353721376678892, 0.013357051782247576, 0.013360311908044422, 0.013363481944236623, 0.013366542023810291, 0.013369472511378709, 0.013372254318730389, 0.013374869240702665, 0.013377300303319408, 0.013379532114683165, 0.013381551207984538, 0.013383346365292766, 0.013384908910608905, 0.013386232961056137, 0.01338731562606545, 0.013388157145964511, 0.013388760963418532, 0.013389133723593783, 0.013389285201571084, 0.013389228158264913, 0.013388978128736647, 0.01338855314916792, 0.013387973430751775, 0.01338726099026363, 0.01338643924803571, 0.013385532604463282, 0.013384566006045441, 0.013383564511371461, 0.013382552866493496, 0.013381555097884064, 0.013380594129773774, 0.013379691431209352, 0.013378866696761622, 0.013378137563528458, 0.013377519365978309, 0.013377024929305779, 0.013376664401337428, 0.013376445122631904, 0.013376371534243993], [0.013504164366646186, 0.013504103402027252, 0.013503920654664939, 0.013503616563549791, 0.013503191858693539, 0.013502647558684277, 0.013501984967291875, 0.013501205669150725, 0.013500311524555038, 0.013499304663408977, 0.013498187478379704, 0.013496962617308783, 0.01349563297494237, 0.013494201684045923, 0.013492672105973807, 0.013491047820768513, 0.013489332616867402, 0.01348753048049778, 0.01348564558484424, 0.013483682279073374, 0.013481645077303338, 0.013479538647606261, 0.013477367801133558, 0.01347513748145397, 0.013472852754195751, 0.013470518797085253, 0.013468140890474909, 0.013465724408455865, 0.01346327481065202, 0.013460797634795546, 0.013458298490188004, 0.013455783052155959, 0.013453257057617489, 0.013450726301884316, 0.013448196636835989, 0.013445673970615885, 0.0134431642690173, 0.013440673558748818, 0.013438207932794892, 0.013435773558120563, 0.013433376686008351, 0.013431023665363792, 0.013428720959384719, 0.013426475166059847, 0.013424293043048364, 0.01342218153759546, 0.013420147822264569, 0.013418199337418389, 0.013416343841564341, 0.013414589470901624, 0.013412944809675115, 0.013411418973264764, 0.013410021706329567, 0.01340876349879544, 0.013407655723040368, 0.013406710796305892, 0.013405942373166866, 0.013405365573839111, 0.013404997255210695, 0.013404856332753356, 0.013404964162896845, 0.013405344996996681, 0.013406026519612585, 0.013407040485285163, 0.013408423469075614, 0.013410217746353618, 0.013412472315932665, 0.013415244076487125, 0.01341859915745249, 0.013422614389660893, 0.013427378873998587, 0.013432995563146304, 0.01343958270512324, 0.013447274899623236, 0.013456223380340322, 0.013466594952197446, 0.013478568782801086, 0.013492329990844529, 0.013508058740592188, 0.013525913441506218, 0.013546006833584161, 0.013568374448206079, 0.013592936432666512, 0.013619456180838076, 0.013647502479608093, 0.013676425244071795, 0.013705356935108317, 0.01373325051533157, 0.013758958775664779, 0.013781349237108421, 0.013799436474366739, 0.013812504698626382, 0.013820192666975015, 0.0138225220404235, 0.01381986595371955, 0.013812870299266835, 0.013802350012433209, 0.013789183967636981, 0.01377422651516712, 0.013758245022565887, 0.013741884701352385, 0.01372565658025948, 0.013709942090062405, 0.013695007642136806, 0.013681023784817363, 0.01366808514407588, 0.0136562288651435, 0.01364545043669296, 0.013635716562433689, 0.013626975206382919, 0.013619163166813339, 0.013612211613074686, 0.013606050013076403, 0.013600608830705496, 0.013595821308632298, 0.013591624587719521, 0.013587960356807222, 0.013584775178651256, 0.013582020599434268, 0.013579653119566779, 0.013577634081045094, 0.013575929509990706, 0.013574509940867662, 0.013573350240177477, 0.013572429441296491, 0.013571730597874719, 0.013571240660342298, 0.013570950378182293, 0.013570854229435195, 0.01357091055872821, 0.013571080025282851, 0.013571364072590584, 0.013571765131571071, 0.013572286658997526, 0.013572933192877555, 0.013573710426462306, 0.013574625303165885, 0.01357568613539703, 0.013576902751174456, 0.013578286673467568, 0.013579851338539376, 0.013581612361256457, 0.013583587857486555, 0.013585798836484213, 0.013588269679784175, 0.013591028727873303, 0.013594109002208745, 0.013597549098568069, 0.013601394299081752, 0.013605697965790642, 0.013610523299914785, 0.013615945580754171, 0.013622055040057495, 0.013628960587542057, 0.013636794689870139, 0.013645719832627089, 0.013655937184755348, 0.013667698373295812, 0.013681321722603071, 0.013697215017333824, 0.013715907988173143, 0.013738099608101129, 0.013764728506129371, 0.013797080465691832, 0.013836957283307597, 0.013886950800273794, 0.013950904676976577, 0.014034727531471586, 0.014147901380189332, 0.014306461062280729, 0.014539350239684947, 0.014903360621908297, 0.015522954603714348, 0.016716110567550208, 0.019500885535647904, 0.028500698400529451, 0.070410731869373536, 0.049397577616812342, 0.022693631872125485, 0.017128220567535522, 0.015318770160714706, 0.014539092050331485, 0.014141077730294828, 0.013913962071884759, 0.013773795098979618, 0.013682115039348425, 0.013619404531083672, 0.013574957505552519, 0.013542530018749726, 0.013518295719290668, 0.013499812133842017, 0.013485465917563324, 0.013474159963047058, 0.013465129326949165, 0.013457828951140911, 0.013451862992200411, 0.013446939099660962, 0.013442838107902384, 0.013439393506421746, 0.013436477261835819, 0.013433989854235755, 0.013431853163813281, 0.013430005318978694, 0.013428396915873379, 0.013426988210695698, 0.013425747011345321, 0.013424647077982469, 0.013423666898161737, 0.01342278874057464, 0.013421997918056061, 0.013421282209206267, 0.013420631401265454, 0.013420036926418986, 0.013419491570634844, 0.01341898923920499, 0.013418524766910342, 0.01341809376352111, 0.013417692487442635, 0.013417317741904515, 0.013416966789300468, 0.013416637280215846, 0.013416327194395932, 0.013416034791466025, 0.013415758569649256, 0.013415497231070378, 0.013415249652503755, 0.013415014860638636, 0.013414792011105252, 0.013414580370643149, 0.01341437930190259, 0.013414188250459704, 0.013414006733698179, 0.013413834331268746, 0.013413670676886881, 0.013413515451267472, 0.013413368376028727, 0.013413229208423881, 0.013413097736781829, 0.013412973776556125, 0.013412857166897527, 0.013412747767677822, 0.01341264545690376, 0.013412550128469092, 0.013412461690200109, 0.013412380062156934, 0.01341230517515817, 0.013412236969501209, 0.013412175393854827, 0.013412120404303594, 0.013412071963527441, 0.013412030040101315, 0.013411994607903226, 0.013411965645620052, 0.013411943136342742, 0.013411927067244075, 0.013411917429333446, 0.01341191421728462, 0.013411917429333446, 0.013411927067244077, 0.01341194313634274, 0.013411965645620054, 0.013411994607903233, 0.01341203004010132, 0.01341207196352745, 0.013412120404303595, 0.013412175393854815, 0.013412236969501213, 0.013412305175158165, 0.013412380062156944, 0.013412461690200113, 0.013412550128469088, 0.013412645456903753, 0.013412747767677816, 0.013412857166897534, 0.013412973776556127, 0.013413097736781825, 0.013413229208423881, 0.013413368376028734, 0.013413515451267477, 0.013413670676886886, 0.013413834331268743, 0.013414006733698173, 0.013414188250459709, 0.013414379301902587, 0.01341458037064315, 0.013414792011105256, 0.013415014860638626, 0.013415249652503765, 0.013415497231070382, 0.013415758569649258, 0.01341603479146602, 0.013416327194395941, 0.013416637280215853, 0.013416966789300468, 0.013417317741904519, 0.013417692487442637, 0.013418093763521106, 0.013418524766910347, 0.013418989239204995, 0.013419491570634838, 0.013420036926418986, 0.013420631401265457, 0.013421282209206275, 0.013421997918056061, 0.013422788740574638, 0.013423666898161737, 0.013424647077982469, 0.013425747011345315, 0.0134269882106957, 0.013428396915873383, 0.013430005318978694, 0.013431853163813279, 0.013433989854235761, 0.013436477261835816, 0.013439393506421747, 0.013442838107902392, 0.013446939099660967, 0.013451862992200409, 0.013457828951140907, 0.013465129326949167, 0.013474159963047051, 0.013485465917563329, 0.013499812133842019, 0.013518295719290663, 0.013542530018749731, 0.013574957505552486, 0.013619404531083682, 0.013682115039348393, 0.013773795098979661, 0.013913962071884754, 0.014141077730294927, 0.014539092050331343, 0.015318770160714279, 0.017128220567531931, 0.022693631872116014, 0.049397577616789284, 0.070410731869431517, 0.028500698400528032, 0.019500885535650405, 0.016716110567550877, 0.015522954603714972, 0.014903360621908487, 0.014539350239684891, 0.014306461062280802, 0.014147901380189332, 0.014034727531471624, 0.013950904676976614, 0.013886950800273802, 0.013836957283307635, 0.013797080465691837, 0.013764728506129408, 0.013738099608101148, 0.013715907988173173, 0.01369721501733385, 0.01368132172260308, 0.013667698373295831, 0.01365593718475535, 0.013645719832627093, 0.013636794689870136, 0.013628960587542064, 0.013622055040057495, 0.013615945580754178, 0.013610523299914792, 0.013605697965790631, 0.013601394299081753, 0.013597549098568062, 0.013594109002208742, 0.013591028727873303, 0.013588269679784173, 0.01358579883648421, 0.013583587857486548, 0.01358161236125646, 0.013579851338539367, 0.013578286673467568, 0.01357690275117446, 0.013575686135397027, 0.013574625303165888, 0.013573710426462306, 0.013572933192877555, 0.013572286658997526, 0.013571765131571071, 0.013571364072590578, 0.013571080025282851, 0.013570910558728206, 0.0135708542294352, 0.013570882384609325, 0.013570966975427794, 0.013571108378696987, 0.013571307225500833, 0.013571564405856306, 0.01357188107532303, 0.013572258663661577, 0.01357269888566519, 0.013573203754323165, 0.013573775596510965, 0.013574417071443317, 0.013575131192173647, 0.013575921350476793, 0.013576791345514087, 0.013577745416751802, 0.013578788281688674, 0.013579925179047082, 0.013581161918200479, 0.013582504935748422, 0.013583961360317941, 0.013585539086868778, 0.013587246862021087, 0.013589094382214019, 0.013591092406856657, 0.013593252889062686, 0.013595589127086315, 0.013598115940225249, 0.013600849873756003, 0.013603809438461768, 0.013607015391552455, 0.013610491067333572, 0.013614262767943258, 0.013618360226967706, 0.013622817161923664, 0.013627671935679613, 0.013632968352165592, 0.013638756618593321, 0.013645094515421296, 0.013652048827211159, 0.013659697103396436, 0.013668129839324115, 0.013677453196881975, 0.013687792423695408, 0.013699296184805598, 0.013712142097655087, 0.013726543870203872, 0.013742760598471454, 0.013761109007558187, 0.013781979756730669, 0.013805859434534488, 0.013833360642341235, 0.013865263768284109, 0.013902575968671465, 0.013946615992755818, 0.013999138697198042, 0.01406252205230884, 0.014140055331611643, 0.014236396392175499, 0.014358321889824053, 0.014516006436002897, 0.014725303927766121, 0.01501203820883901, 0.015420603497748053, 0.016032595321459512, 0.017011256010488335, 0.018721258918375783, 0.022105816322453214, 0.030114370749744764, 0.053347019308937503, 0.091415852215609425, 0.05240343817716437, 0.028536938580961832, 0.020711744530966976, 0.017557659294640822, 0.016030274134837999, 0.01518981352695194, 0.014683493568207393, 0.014357410725326253, 0.014136418281323806, 0.013980515916930151, 0.01386691564573493, 0.013781905783225643, 0.013716857016296319, 0.013666131008451968, 0.013625924732241192, 0.013593602159496156, 0.013567292442442796, 0.01354564004065892, 0.013527644691126547, 0.013512556221941061, 0.01349980380167138, 0.013488947359894385, 0.013479643607131159, 0.013471621865092402, 0.013464666611260877, 0.013458604696299737, 0.013453295863542412, 0.013448625634841456, 0.01344449991423103, 0.013440840853552693, 0.013437583655455455, 0.013434674079848195, 0.013432066483327159, 0.01342972226603545, 0.013427608632595454, 0.013425697597051426, 0.013423965178789424, 0.013422390748967552, 0.013420956496341755, 0.013419646988391291, 0.013418448808956549, 0.013417350257646633, 0.01341634109937692, 0.013415412354794097, 0.013414556124208395, 0.013413765439109574, 0.013413034136488153, 0.013412356752089119, 0.013411728429444519, 0.01341114484210653, 0.013410602126963402, 0.013410096826892558, 0.013409625841306245, 0.013409186383389587, 0.013408775943030995, 0.013408392254608003, 0.013408033268926992, 0.013407697128725572, 0.013406809655371414, 0.013406075331988813, 0.013405464866614184, 0.013404955364275464, 0.013404528580179839, 0.013404169683627998, 0.013403866372871578, 0.013403608234640154, 0.013403386276514131, 0.013403192582883732, 0.013403020060249625, 0.013402862247758215, 0.01340271317580128, 0.013402567260314097, 0.013402419223772279, 0.01340226403626988, 0.013402096871764345, 0.013401913075802029, 0.013401708141932298, 0.013401477694675389, 0.013401217477399139, 0.013400923343831089, 0.013400591252224129, 0.013400217261434311, 0.013399797528385856, 0.013399328306616182, 0.013398805945842319, 0.013398226892807402, 0.013397587694105503, 0.013396885002323486, 0.013396115587803665, 0.013395276359815109, 0.013394364403240523, 0.013393377040562286, 0.013392311934842168, 0.013391167259039554, 0.013389941973037094, 0.013388636276858911, 0.013387252355446031, 0.013385795613381239, 0.013384276749094631, 0.013382715301925526, 0.013381145857880932, 0.01337962922042312, 0.01337827323658145, 0.013377273334166639, 0.013376995737851827, 0.013378160028373349, 0.013382274927415052, 0.013392799917292968, 0.013418743271156197, 0.013488512548934267, 0.013725532590811201, 0.01517864818133746, 0.08625166313225581, 0.016204951721097011, 0.014250178532399295, 0.013838098543661498, 0.013679461947994079, 0.013599617034596617, 0.013552797673205505, 0.013522507339937116, 0.013501532236217058, 0.013486276610891695, 0.01347476972241652, 0.013465850773963846, 0.01345879624724289, 0.013453134135902852, 0.013448544724650784, 0.013444804511030892, 0.013441752979009958, 0.01343927210841981, 0.01343727329656774, 0.013435688757824742, 0.01343446571806815, 0.013433562404198844, 0.013432945216301057, 0.013432586696889267, 0.013432464048504849, 0.013432558035619315, 0.013432852160478553, 0.013433332037277961, 0.013433984912003948, 0.013434799290698608, 0.01343576464943955, 0.013436871206633855, 0.013438109743364712, 0.013439471461190506, 0.013440947869437543, 0.013442530695952946, 0.013444211816704006, 0.013445983200666234, 0.013447836867235344, 0.013449764853998673, 0.013451759193159017, 0.013453811895255102, 0.013455914939093564, 0.013458060267017159, 0.013460239784796416, 0.013462445365558516, 0.013464668857265214, 0.013466902093326866, 0.013469136905997971, 0.013471365142243329, 0.013473578681795766, 0.013475769457150812, 0.013477929475258926, 0.013480050840686725, 0.013482125780024537, 0.013484146667320025, 0.013486106050317418, 0.013487996677280494, 0.013489811524174685, 0.013491543821980322, 0.013493187083906838, 0.013494735132275381, 0.013496182124836791, 0.013497522580292983, 0.013498751402792013, 0.013499863905173288, 0.013500855830746096, 0.013501723373395268, 0.013502463195820592, 0.013503072445731533, 0.013503548769837533, 0.013503890325493517, 0.013504095789883078, 0.013504164366646186, 0.013504118644872436, 0.013503981609701921, 0.013503753651173608, 0.013503435417978426, 0.013503027815407478, 0.013502532002498412, 0.013501949388398281, 0.013501281627966429, 0.013500530616645525, 0.013499698484633171, 0.013498787590390816, 0.013497800513530082, 0.013496740047120146, 0.013495609189462436, 0.013494411135381209, 0.013493149267081055, 0.013491827144622531, 0.013490448496069675, 0.013489017207362104, 0.013487537311965237, 0.013486012980351403, 0.01348444850936349, 0.013482848311511956, 0.013481216904253374, 0.013479558899297349, 0.013477878991985848, 0.013476181950786099, 0.013474472606935177, 0.013472755844271196, 0.013471036589282455, 0.013469319801401871, 0.013467610463570692, 0.013465913573090568, 0.013464234132779952, 0.013462577142445621, 0.013460947590675943, 0.01345935044695854, 0.013457790654119603, 0.013456273121078029, 0.013454802715902617, 0.013453384259155404, 0.013452022517499568, 0.013450722197544642, 0.013449487939896639, 0.013448324313374834, 0.013447235809350857, 0.013446226836159451, 0.013445301713523528, 0.013444464666928628, 0.01344371982187445, 0.013443071197922398, 0.013442522702449351, 0.013442078124008078, 0.013441741125184351, 0.013441515234829712, 0.0134414038395373, 0.01344141017421557, 0.013441537311602074, 0.013441788150546679, 0.013442165402880065, 0.013442671578671378, 0.01344330896966707, 0.013444079630693214, 0.013444985358796551, 0.013446027669895937, 0.013447207772718151, 0.013448526539800406, 0.013449984475359974, 0.013451581679860349, 0.013453317811146552, 0.013455192042081928, 0.013457203014699277, 0.013459348790982314, 0.013461626800523593, 0.013464033785464636, 0.013466565743314889, 0.013469217868470404, 0.013471984493509892, 0.01347485903163273, 0.013477833921915833, 0.013480900579395837, 0.013484049352316984, 0.013487269489207926, 0.013490549118740808, 0.013493875245558118, 0.013497233765398452, 0.013500609502878878, 0.013503986275167077, 0.013507346984470148, 0.013510673741752178, 0.013513948023352471, 0.013517150861205404, 0.013520263066171028, 0.013523265482603512, 0.013526139270760566, 0.013528866212063177, 0.013531429030637743, 0.013533811723116945, 0.013535999887445586, 0.013537981040543235, 0.013539744914207372, 0.013541283718669441, 0.013542592363782118, 0.013543668628918171, 0.013544513274260046, 0.013545130088174954, 0.013545525867687607, 0.013545710331544076, 0.013545695967852271, 0.013545497820637685, 0.013545133221728961, 0.0135446214760764, 0.013543983509828744, 0.013543241491211413, 0.013542418434462127, 0.013541537796822932, 0.013540623077926852, 0.013539697429938328, 0.013538783285607528, 0.013537902010081156, 0.013537073580972248, 0.013536316299912914, 0.013535646537666892, 0.013535078513910717, 0.013534624112037119, 0.013534292728800627, 0.013534091158310191, 0.013534023509756512], [0.013639476335973013, 0.013639415477329515, 0.013639233047534572, 0.013638929484502628, 0.013638505516454114, 0.013637962159474007, 0.013637300714121992, 0.013636522761121312, 0.013635630156161677, 0.013634625023858402, 0.013633509750916062, 0.013632286978552016, 0.01363095959424037, 0.01362953072284207, 0.013628003717191691, 0.013626382148215479, 0.013624669794658782, 0.013622870632503578, 0.0136209888241601, 0.013619028707517584, 0.013616994784941721, 0.013614891712306594, 0.013612724288151218, 0.013610497443050255, 0.013608216229290268, 0.013605885810943489, 0.013603511454431786, 0.013601098519675753, 0.013598652451925226, 0.013596178774370601, 0.013593683081638467, 0.013591171034279374, 0.013588648354362963, 0.013586120822303833, 0.013583594275052482, 0.013581074605798913, 0.013578567765354129, 0.013576079765394935, 0.013573616683783426, 0.013571184672203919, 0.013568789966397977, 0.013566438899324414, 0.013564137917627214, 0.013561893601861488, 0.013559712691009489, 0.013557602111916513, 0.013555569014395219, 0.01355362081288925, 0.013551765235758748, 0.01355001038345675, 0.013548364797113636, 0.013546837539344506, 0.013545438289451116, 0.013544177455616483, 0.013543066307196708, 0.013542117130815205, 0.013541343414668812, 0.013540760066273805, 0.013540383669817043, 0.013540232790326699, 0.013540328333015566, 0.013540693967322721, 0.013541356626283464, 0.013542347092710415, 0.013543700683967824, 0.013545458046379268, 0.013547666067768391, 0.013550378911141518, 0.013553659162379826, 0.013557579067573013, 0.013562221807908786, 0.013567682717338761, 0.013574070284994142, 0.01358150669428926, 0.01359012752822107, 0.013600080113323495, 0.013611519789350011, 0.013624603201132474, 0.013639477564794264, 0.013656264855821566, 0.013675040144602727, 0.013695804049321171, 0.01371845066174511, 0.01374273438770734, 0.0137682417065243, 0.013794376212096251, 0.013820366278766483, 0.013845302915783085, 0.013868209958222683, 0.013888140237489702, 0.013904282260641021, 0.013916055995206521, 0.013923176861559255, 0.013925674622953398, 0.013923865810277044, 0.013918289875209534, 0.013909626245436364, 0.013898610250998054, 0.013885961707629547, 0.013872333511112797, 0.013858281535089294, 0.01384425295391797, 0.013830588146387933, 0.01381753111212883, 0.013805244126892722, 0.013793823539612336, 0.013783314760488666, 0.013773725408024521, 0.013765036225675752, 0.013757209776739332, 0.013750197139306478, 0.01374394291224685, 0.013738388857396904, 0.013733476477386011, 0.013729148785425131, 0.013725351476187661, 0.013722033662631776, 0.013719148305336678, 0.013716652429493225, 0.013714507199777917, 0.013712677904106806, 0.013711133882722418, 0.013709848428257032, 0.013708798674507016, 0.013707965485952567, 0.013707333356014434, 0.01370689031922182, 0.01370662788054138, 0.013706540963831386, 0.013706594058434853, 0.013706753783461081, 0.013707021469177507, 0.013707399354950838, 0.013707890623293603, 0.013708499448889945, 0.013709231064033652, 0.013710091842429967, 0.013711089403922386, 0.013712232743438664, 0.013713532388347997, 0.013715000589535621, 0.013716651552902503, 0.013718501719777914, 0.01372057010701546, 0.013722878720498639, 0.013725453059637637, 0.013728322735518614, 0.013731522232111288, 0.013735091848983715, 0.013739078876209967, 0.013743539068882713, 0.013748538511751361, 0.013754155996791789, 0.013760486082171378, 0.013767643066481783, 0.013775766207129803, 0.013785026651902123, 0.013795636762758908, 0.013807862831379329, 0.013822042684481957, 0.013838610468997297, 0.013858132195356523, 0.013881357767078408, 0.013909298917567751, 0.01394334902524582, 0.01398547282662458, 0.014038517143332548, 0.014106740163150874, 0.014196755405478056, 0.014319309867132904, 0.014492862532285192, 0.014751399310341674, 0.015163363605986685, 0.015884192314401212, 0.017331980837051463, 0.020956295467035729, 0.034189813868701284, 0.084989316362212908, 0.037291310120310714, 0.020470345699884249, 0.016543069929691512, 0.015149435145313826, 0.014517597301554623, 0.014184556088886215, 0.013990369815627639, 0.013868684955495439, 0.013788204516053802, 0.013732698274085645, 0.013693112825171654, 0.013664097570302394, 0.013642338310624039, 0.013625700851293249, 0.013612765185325794, 0.013602559786222646, 0.013594403792165789, 0.013587809952126922, 0.01358242310437905, 0.013577980127822523, 0.013574283250699981, 0.013571181884586156, 0.013568560025903264, 0.01356632736916419, 0.01356441294130663, 0.013562760477659211, 0.013561325019802725, 0.013560070382906304, 0.013558967249863024, 0.01355799172273498, 0.013557124211571438, 0.013556348574694508, 0.013555651448223736, 0.013555021719287245, 0.013554450109245506, 0.013553928841806047, 0.013553451377125172, 0.013553012197557099, 0.013552606634089127, 0.013552230725024728, 0.013551881100373996, 0.013551554886849244, 0.013551249629462032, 0.013550963226560818, 0.013550693875801314, 0.013550440029048297, 0.013550200354604996, 0.0135499737054777, 0.013549759092630504, 0.013549555662380459, 0.013549362677240506, 0.013549179499642308, 0.013549005578072659, 0.013548840435238579, 0.013548683657942144, 0.013548534888401043, 0.013548393816793954, 0.013548260174846852, 0.013548133730305953, 0.013548014282167722, 0.013547901656556742, 0.013547795703159548, 0.013547696292136207, 0.013547603311443949, 0.013547516664516627, 0.013547436268252297, 0.013547362051268514, 0.013547293952390613, 0.013547231919343587, 0.01354717590762255, 0.013547125879520179, 0.013547081803293327, 0.013547043652453006, 0.013547011405165229, 0.013546985043751632, 0.01354696455428094, 0.013546949926244152, 0.013546941152307599, 0.013546938228139606, 0.013546941152307597, 0.013546949926244153, 0.013546964554280939, 0.013546985043751633, 0.013547011405165238, 0.01354704365245301, 0.013547081803293334, 0.013547125879520186, 0.013547175907622545, 0.013547231919343589, 0.013547293952390611, 0.013547362051268526, 0.013547436268252302, 0.013547516664516623, 0.013547603311443945, 0.013547696292136204, 0.013547795703159553, 0.013547901656556748, 0.013548014282167715, 0.01354813373030595, 0.01354826017484686, 0.013548393816793961, 0.013548534888401043, 0.013548683657942139, 0.013548840435238577, 0.013549005578072669, 0.013549179499642303, 0.013549362677240502, 0.013549555662380464, 0.013549759092630497, 0.013549973705477706, 0.013550200354604998, 0.013550440029048295, 0.013550693875801309, 0.013550963226560825, 0.013551249629462034, 0.013551554886849244, 0.013551881100373999, 0.01355223072502473, 0.013552606634089128, 0.013553012197557099, 0.013553451377125181, 0.013553928841806038, 0.013554450109245504, 0.013555021719287252, 0.013555651448223738, 0.013556348574694505, 0.013557124211571434, 0.013557991722734978, 0.013558967249863017, 0.013560070382906297, 0.01356132501980273, 0.013562760477659209, 0.013564412941306636, 0.01356632736916419, 0.013568560025903269, 0.013571181884586151, 0.013574283250699978, 0.01357798012782253, 0.013582423104379052, 0.013587809952126925, 0.013594403792165789, 0.013602559786222639, 0.013612765185325785, 0.013625700851293249, 0.013642338310624041, 0.013664097570302389, 0.013693112825171657, 0.013732698274085608, 0.013788204516053813, 0.013868684955495408, 0.013990369815627691, 0.01418455608888621, 0.014517597301554773, 0.015149435145313566, 0.016543069929690627, 0.02047034569987595, 0.037291310120277817, 0.08498931636222079, 0.034189813868722198, 0.020956295467035348, 0.017331980837052639, 0.015884192314401621, 0.015163363605987093, 0.014751399310341798, 0.014492862532285166, 0.014319309867132953, 0.014196755405478059, 0.014106740163150909, 0.014038517143332581, 0.013985472826624587, 0.013943349025245855, 0.013909298917567764, 0.013881357767078439, 0.013858132195356539, 0.013838610468997318, 0.013822042684481985, 0.013807862831379334, 0.013795636762758924, 0.013785026651902118, 0.013775766207129806, 0.013767643066481778, 0.013760486082171387, 0.013754155996791787, 0.013748538511751365, 0.013743539068882716, 0.013739078876209962, 0.013735091848983716, 0.013731522232111276, 0.013728322735518612, 0.013725453059637637, 0.013722878720498637, 0.013720570107015462, 0.013718501719777901, 0.013716651552902508, 0.013715000589535615, 0.013713532388347997, 0.013712232743438664, 0.013711089403922386, 0.01371009184242997, 0.013709231064033652, 0.01370849944888995, 0.013707890623293608, 0.013707399354950838, 0.0137070214691775, 0.013706753783461078, 0.013706594058434851, 0.013706540963831389, 0.013706567502430838, 0.013706647234078571, 0.013706780507136584, 0.013706967904931981, 0.013707210249881674, 0.013707508609345928, 0.013707864303291708, 0.013708278913872678, 0.013708754297061271, 0.013709292596499469, 0.013709896259769717, 0.013710568057327364, 0.013711311104380812, 0.013712128886057839, 0.01371302528625639, 0.013714004620648812, 0.013715071674390176, 0.013716231745178937, 0.013717490692432201, 0.013718854993474954, 0.013720331807804553, 0.013721929050688048, 0.013723655477583686, 0.013725520781162624, 0.013727535703051113, 0.013729712162833257, 0.013732063407368666, 0.013734604184110799, 0.013737350942892601, 0.013740322071614502, 0.013743538172477846, 0.013747022386921579, 0.013750800779329412, 0.0137549027919949, 0.013759361786919132, 0.013764215693977138, 0.013769507790106165, 0.013775287640825839, 0.013781612244121047, 0.013788547428235166, 0.013796169570251413, 0.01380456772292582, 0.013813846265133494, 0.013824128229466917, 0.013835559513318949, 0.013848314253602849, 0.013862601749723133, 0.013878675469130387, 0.013896844887358433, 0.013917491235323851, 0.01394108870760472, 0.013968233418941305, 0.013999683536481284, 0.014036415825203326, 0.014079706783282828, 0.014131251439965336, 0.014193341275251325, 0.014269137545178986, 0.014363103440378775, 0.014481710230048253, 0.014634635702899104, 0.014836890052184382, 0.015112788887874347, 0.015503856815261697, 0.016085791973948826, 0.017008479291323906, 0.018602312843871548, 0.021707187410809334, 0.028897813181409535, 0.049520519273694559, 0.091264732646011787, 0.057260355031770467, 0.030065962331342372, 0.021313558571651462, 0.017882305581902295, 0.016252476747359912, 0.015367663934416825, 0.014839881058686137, 0.01450256087513125, 0.014275348868961842, 0.014115871927073092, 0.014000170829143808, 0.013913917683528218, 0.01384814180601176, 0.013797007576527182, 0.013756593902016034, 0.013724192020901119, 0.013697885190782508, 0.013676288335571853, 0.013658381880225423, 0.013643402869129828, 0.01363077193367053, 0.013620043272607876, 0.013610869745321328, 0.013602978095498288, 0.013596151092676114, 0.013590214478267255, 0.013585027300183692, 0.013580474671483923, 0.01357646228575653, 0.013572912221042484, 0.01356975969946189, 0.013566950563052009, 0.013564439291532681, 0.013562187433829025, 0.013560162358163045, 0.013558336249366336, 0.013556685299472872, 0.013555189050477144, 0.013553829857679339, 0.013552592449187948, 0.013551463562551071, 0.013550431643598263, 0.013549486595726086, 0.013548619570291466, 0.013547822790665076, 0.013547089403971552, 0.01354641335570236, 0.013545789283301975, 0.013545212425555456, 0.013544678545185134, 0.013544183862529462, 0.013543724998551812, 0.013543298925729901, 0.013542902925623223, 0.013542534552116139, 0.013542191599499593, 0.013541872074688816, 0.013541036837542018, 0.01354035657201515, 0.013539800380056897, 0.013539344319736859, 0.013538969472592541, 0.013538660585041041, 0.013538405101480105, 0.013538192468667287, 0.013538013630553701, 0.013537860658494348, 0.013537726478775306, 0.013537604670817625, 0.013537489317184848, 0.013537374891872506, 0.013537256177086298, 0.013537128201342249, 0.013536986193590221, 0.013536825549403053, 0.01353664180624551, 0.01353643062554773, 0.013536187779834473, 0.013535909143558528, 0.01353559068659509, 0.013535228469606191, 0.013534818640708485, 0.013534357433100547, 0.013533841163558574, 0.013533266232031591, 0.013532629123013548, 0.013531926410023562, 0.013531154765514978, 0.013530310980063694, 0.013529391997089033, 0.013528394973189375, 0.013527317380361635, 0.013526157176526311, 0.013524913087724752, 0.013523585074183872, 0.013522175102561292, 0.013520688435974539, 0.013519135816993768, 0.013517537228114209, 0.013515928520926996, 0.013514373446278601, 0.013512986284022001, 0.013511976339739806, 0.013511740374862805, 0.013513068278555885, 0.013517642766671552, 0.01352940221896682, 0.013558896806196803, 0.013640864326356021, 0.013938335605890181, 0.016138394908593416, 0.05411818288411703, 0.015669676197984587, 0.014277649940424108, 0.013937051053281125, 0.013798012350265586, 0.013725771654788114, 0.013682554534141841, 0.013654206973748678, 0.013634379380564226, 0.013619848562921911, 0.013608823606275687, 0.0136002383027372, 0.013593422369766812, 0.01358793544588298, 0.013583477494009918, 0.013579837720331455, 0.013576864084867694, 0.013574444379467662, 0.013572494083989233, 0.013570948341843862, 0.013569756520055374, 0.013568878437025398, 0.013568281693607041, 0.013567939750588582, 0.013567830521414741, 0.013567935327131691, 0.013568238110270046, 0.01356872483669112, 0.01356938303582313, 0.013570201444139729, 0.013571169726615904, 0.013572278257767726, 0.013573517948727505, 0.013574880110264635, 0.013576356344163279, 0.013577938457194287, 0.01357961839326789, 0.013581388180358943, 0.013583239889552757, 0.013585165604132457, 0.013587157397066516, 0.013589207315591363, 0.013591307371843282, 0.013593449538695249, 0.013595625750110325, 0.013597827905444846, 0.01360004787722869, 0.013602277522022324, 0.013604508694006251, 0.013606733261000236, 0.013608943122640226, 0.013611130230464012, 0.013613286609671024, 0.013615404382331735, 0.013617475791827283, 0.013619493228302096, 0.013621449254911313, 0.013623336634643447, 0.013625148357495216, 0.013626877667772357, 0.013628518091287366, 0.013630063462222898, 0.013631507949428637, 0.013632846081920611, 0.013634072773353935, 0.013635183345245987, 0.013636173548733765, 0.013637039584659645, 0.013637778121792529, 0.013638386313006177, 0.013638861809255344, 0.013639202771209419, 0.013639407878426223, 0.013639476335973013, 0.013639430693685362, 0.013639293896758277, 0.013639066334587021, 0.013638748654792676, 0.013638341761174774, 0.013637846810863941, 0.013637265210692645, 0.013636598612807742, 0.01363584890955279, 0.013635018227652526, 0.013634108921736171, 0.013633123567239664, 0.013632064952730246, 0.013630936071699722, 0.01362974011387473, 0.013628480456095035, 0.013627160652810883, 0.013625784426253056, 0.013624355656328094, 0.013622878370292206, 0.013621356732256267, 0.013619795032573509, 0.01361819767716038, 0.013616569176798595, 0.013614914136464854, 0.013613237244732131, 0.013611543263283144, 0.01360983701657402, 0.013608123381682531, 0.013606407278371875, 0.013604693659396974, 0.013602987501076608, 0.013601293794150144, 0.013599617534934079, 0.013597963716788624, 0.013596337321900253, 0.01359474331338208, 0.013593186627688582, 0.013591672167336819, 0.013590204793921493, 0.013588789321405937, 0.01358743050966618, 0.013586133058259771, 0.013584901600385587, 0.013583740696995021, 0.013582654831008747, 0.013581648401586972, 0.013580725718394063, 0.01357989099579129, 0.013579148346883559, 0.013578501777337604, 0.013577955178880347, 0.013577512322376402, 0.013577176850373822, 0.013576952268996035, 0.013576841939047134, 0.013576849066185471, 0.013576976690008827, 0.013577227671882255, 0.013577604681327909, 0.013578110180785134, 0.013578746408539618, 0.013579515359612602, 0.01358041876439673, 0.013581458064825037, 0.013582634387864905, 0.013583948516141784, 0.013585400855519965, 0.013586991399501687, 0.013588719690354618, 0.013590584776943049, 0.013592585169324293, 0.013594718790280349, 0.013596982924089783, 0.013599374163007603, 0.013601888352113874, 0.013604520533414811, 0.013607264890332644, 0.013610114693998632, 0.01361306225306195, 0.013616098869035887, 0.013619214799509612, 0.013622399231840828, 0.013625640270191886, 0.013628924938953714, 0.013632239205690705, 0.013635568026705697, 0.013638895418138355, 0.013642204555145584, 0.013645477901148236, 0.013648697368352966, 0.013651844509772512, 0.013654900741788122, 0.013657847594959799, 0.013660666989345991, 0.01366334152911643, 0.013665854809815759, 0.013668191730359235, 0.013670338800811935, 0.013672284436315196, 0.013674019227255708, 0.013675536175977656, 0.01367683089104052, 0.013677901731211169, 0.013678749892998306, 0.01367937943750526, 0.013679797254580439, 0.013680012964550898, 0.013680038760093442, 0.013679889192895664, 0.0136795809115665, 0.013679132358681753, 0.013678563435832727, 0.013677895146062687, 0.013677149223136158, 0.013676347756730304, 0.013675512821933404, 0.013674666120463291, 0.013673828639870734, 0.013673020335759914, 0.013672259840825745, 0.01367156420334914, 0.013670948656765089, 0.013670426421065258, 0.013670008536142432, 0.013669703726734133, 0.013669518298371928, 0.013669456063671058], [0.013755160389868936, 0.013755099690424205, 0.013754917737744241, 0.013754614968300525, 0.013754192107912266, 0.013753650169310426, 0.013752990448755609, 0.013752214521736833, 0.013751324237786597, 0.013750321714454374, 0.013749209330486853, 0.013747989718270306, 0.013746665755595529, 0.013745240556811245, 0.013743717463436275, 0.013742100034305239, 0.013740392035325717, 0.013738597428927635, 0.013736720363288768, 0.013734765161421317, 0.013732736310207055, 0.013730638449468693, 0.013728476361167422, 0.013726254958815985, 0.013723979277198511, 0.013721654462488651, 0.013719285762858472, 0.013716878519672565, 0.013714438159363079, 0.013711970186084528, 0.013709480175250978, 0.013706973768062463, 0.013704456667134705, 0.013701934633353915, 0.013699413484089106, 0.013696899092907243, 0.013694397390953385, 0.013691914370177621, 0.013689456088615439, 0.013687028677958506, 0.013684638353689046, 0.013682291428095378, 0.013679994326539682, 0.013677753607413155, 0.013675575986291339, 0.013673468364895244, 0.013671437865575634, 0.013669491872171704, 0.013667638078255764, 0.013665884543967711, 0.013664239762872349, 0.013662712740546196, 0.013661313086925794, 0.013660051124834855, 0.013658938017560941, 0.013657985918883586, 0.013657208149569599, 0.01365661940505225, 0.013656235999795128, 0.013656076154692599, 0.013656160334740578, 0.013656511645055455, 0.013657156294003481, 0.01365812413252877, 0.013659449278414195, 0.013661170832680754, 0.013663333691876061, 0.013665989453513747, 0.013669197400811819, 0.013673025534918365, 0.013677551595035644, 0.013682863965477533, 0.013689062309302832, 0.013696257686293574, 0.013704571805605376, 0.013714134931428095, 0.013725081813286027, 0.013737544876851641, 0.013751643836869125, 0.013767470964869823, 0.013785071579923517, 0.013804420069092133, 0.013825392994401237, 0.013847742591665569, 0.013871075951539021, 0.013894846779974431, 0.01391836692454668, 0.013940842846972857, 0.013961437471376107, 0.013979351049535986, 0.013993907939806963, 0.014004632321611166, 0.014011297030056108, 0.014013936019030504, 0.014012820194899449, 0.014008404987967822, 0.014001263097715374, 0.013992016315563172, 0.013981277135814098, 0.013969606004710535, 0.013957485435656662, 0.013945308965571352, 0.013933381310258015, 0.013921925789025057, 0.013911095613045791, 0.013900986494185029, 0.013891648909403208, 0.013883099085038382, 0.013875328293886052, 0.01386831039935028, 0.013862007775203179, 0.013856375821020327, 0.013851366319993872, 0.013846929875660538, 0.013843017636018118, 0.013839582479195991, 0.013836579800840855, 0.01383396801290198, 0.013831708837774945, 0.013829767460900358, 0.013828112588478022, 0.013826716444291936, 0.013825554730056758, 0.01382460656655571, 0.013823854427595697, 0.013823284075008491, 0.013822884500217038, 0.013822647875979732, 0.013822569520601022, 0.013822619598289808, 0.013822770239014537, 0.013823022671638768, 0.013823378964058415, 0.013823842053460237, 0.013824415789856189, 0.013825104994126458, 0.013825915532247197, 0.013826854407897911, 0.013827929876264208, 0.013829151582608879, 0.013830530730119006, 0.013832080282706938, 0.013833815209921604, 0.013835752783012703, 0.013837912933619075, 0.013840318689702898, 0.013842996707477033, 0.013845977923516885, 0.013849298358499513, 0.013853000113756481, 0.013857132615048113, 0.013861754176088748, 0.01386693397945995, 0.013872754607737174, 0.013879315307582796, 0.013886736241338416, 0.013895164085326876, 0.01390477948908885, 0.01391580714319763, 0.013928529561206195, 0.013943306241073235, 0.01396060076621356, 0.013981019871337021, 0.014005370961474698, 0.014034748838778841, 0.014070670030335608, 0.014115287311254054, 0.014171744574532146, 0.014244788378977424, 0.014341873811519378, 0.014475282608945194, 0.014666474145685547, 0.014955835907796675, 0.01542710834981896, 0.01627831375164163, 0.018074748542910697, 0.022968998822089214, 0.04347685505193212, 0.080598331680801688, 0.029543871204745123, 0.018917580556458233, 0.016095726597343062, 0.015012961299425325, 0.014498850150666452, 0.014219699535105206, 0.014053598679486648, 0.013947995144854407, 0.013877404391900766, 0.01382833117382758, 0.013793124250098392, 0.013767202754551063, 0.013747699300249763, 0.013732751391181314, 0.01372111085715772, 0.013711918573260625, 0.013704569380371467, 0.013698628333919806, 0.013693777238511399, 0.013689779628342679, 0.013686457301004781, 0.013683674270018072, 0.013681325588423422, 0.013679329435437487, 0.013677621429028572, 0.013676150482183222, 0.013674875745987589, 0.013673764328509036, 0.013672789574549728, 0.013671929755671615, 0.013671167063606524, 0.013670486830283914, 0.013669876918728854, 0.013669327243928244, 0.013668829393365929, 0.013668376324578294, 0.013667962122657924, 0.01366758180473306, 0.013667231161492677, 0.013666906628101761, 0.013666605178565387, 0.013666324238902074, 0.013666061615480979, 0.013665815435643075, 0.013665584098318672, 0.013665366232814875, 0.013665160664307547, 0.013664966384857168, 0.013664782528992106, 0.013664608353082574, 0.013664443217870598, 0.013664286573636476, 0.01366413794757446, 0.013663996933024629, 0.013663863180269601, 0.013663736388653083, 0.013663616299818517, 0.013663502691899091, 0.013663395374517702, 0.01366329418447805, 0.013663198982047226, 0.01366310964774509, 0.0136630260795694, 0.013662948190596319, 0.013662875906904889, 0.013662809165782169, 0.013662747914171955, 0.013662692107335589, 0.013662641707698282, 0.013662596683857959, 0.013662557009737715, 0.013662522663865107, 0.013662493628765081, 0.013662469890454819, 0.013662451438031057, 0.013662438263342364, 0.013662430360740281, 0.013662427726904691, 0.013662430360740286, 0.013662438263342371, 0.013662451438031055, 0.013662469890454821, 0.013662493628765088, 0.013662522663865109, 0.013662557009737725, 0.013662596683857964, 0.013662641707698269, 0.013662692107335592, 0.013662747914171956, 0.013662809165782183, 0.013662875906904889, 0.013662948190596321, 0.013663026079569393, 0.013663109647745085, 0.013663198982047235, 0.013663294184478054, 0.013663395374517693, 0.013663502691899091, 0.013663616299818521, 0.013663736388653088, 0.013663863180269603, 0.013663996933024624, 0.013664137947574454, 0.013664286573636483, 0.013664443217870591, 0.013664608353082574, 0.013664782528992109, 0.013664966384857155, 0.013665160664307554, 0.013665366232814875, 0.013665584098318676, 0.013665815435643072, 0.013666061615480986, 0.013666324238902081, 0.013666605178565385, 0.013666906628101763, 0.013667231161492679, 0.013667581804733063, 0.013667962122657924, 0.013668376324578298, 0.013668829393365925, 0.013669327243928242, 0.01366987691872886, 0.013670486830283921, 0.013671167063606524, 0.013671929755671613, 0.013672789574549728, 0.01367376432850903, 0.013674875745987585, 0.013676150482183225, 0.013677621429028572, 0.013679329435437489, 0.013681325588423419, 0.013683674270018077, 0.013686457301004779, 0.013689779628342676, 0.013693777238511399, 0.013698628333919809, 0.013704569380371467, 0.013711918573260626, 0.013721110857157716, 0.013732751391181311, 0.01374769930024977, 0.013767202754551065, 0.013793124250098387, 0.013828331173827578, 0.013877404391900721, 0.013947995144854433, 0.014053598679486601, 0.014219699535105273, 0.01449885015066643, 0.015012961299425538, 0.016095726597342597, 0.018917580556456363, 0.029543871204719137, 0.080598331680746732, 0.04347685505194919, 0.022968998822096576, 0.018074748542910496, 0.016278313751642383, 0.015427108349819233, 0.014955835907796939, 0.014666474145685653, 0.014475282608945166, 0.014341873811519421, 0.014244788378977432, 0.014171744574532177, 0.01411528731125408, 0.014070670030335615, 0.014034748838778867, 0.014005370961474702, 0.013981019871337047, 0.01396060076621357, 0.013943306241073251, 0.013928529561206217, 0.013915807143197633, 0.013904779489088866, 0.013895164085326879, 0.01388673624133842, 0.013879315307582792, 0.013872754607737181, 0.01386693397945995, 0.013861754176088755, 0.013857132615048114, 0.013853000113756474, 0.013849298358499514, 0.013845977923516878, 0.013842996707477032, 0.0138403186897029, 0.013837912933619079, 0.013835752783012701, 0.013833815209921595, 0.013832080282706941, 0.013830530730118997, 0.013829151582608879, 0.01382792987626421, 0.013826854407897913, 0.013825915532247202, 0.013825104994126451, 0.013824415789856189, 0.013823842053460241, 0.013823378964058414, 0.013823022671638763, 0.013822770239014539, 0.013822619598289808, 0.013822569520601029, 0.013822594551432522, 0.013822669751306789, 0.013822795443086662, 0.013822972167297918, 0.013823200685794462, 0.013823481986957624, 0.01382381729249932, 0.013824208065960819, 0.013824656023023633, 0.013825163143775373, 0.013825731687103217, 0.013826364207421451, 0.013827063573977207, 0.013827832993023051, 0.013828676033194664, 0.013829596654491337, 0.013830599241325162, 0.013831688640185361, 0.013832870202559059, 0.01383414983386233, 0.013835534049268563, 0.013837030037481508, 0.013838645733690686, 0.013840389903177779, 0.01384227223732035, 0.013844303464076614, 0.013846495475446436, 0.013848861474905818, 0.013851416148431156, 0.013854175863491516, 0.013857158901334144, 0.013860385729067668, 0.013863879319525709, 0.013867665528755513, 0.013871773543335061, 0.013876236412728692, 0.013881091685746092, 0.013886382175145904, 0.013892156880892344, 0.013898472111040439, 0.013905392850394986, 0.013912994441944075, 0.013921364665996546, 0.013930606328930888, 0.013940840510342507, 0.013952210668313219, 0.013964887873664436, 0.013979077544584332, 0.013995028196901965, 0.014013042934044444, 0.014033494708113731, 0.014056846843441745, 0.014083681014125226, 0.014114735953189439, 0.014150961891150334, 0.014193598508402567, 0.01424428881483864, 0.014305249276101446, 0.014379530434204552, 0.014471427678486647, 0.014587150036897372, 0.014735950557131399, 0.014932121900690872, 0.015198704967969139, 0.015574817285289255, 0.016131255812001921, 0.017006932293151495, 0.018504488730101278, 0.021381656071461207, 0.027919617416264208, 0.046403866078173581, 0.089591770581975677, 0.062128366082845075, 0.031599477213804586, 0.02188803469296734, 0.018179188760642704, 0.016449424452906806, 0.0155222089022218, 0.0149742432668375, 0.014626511501232861, 0.014393620158879534, 0.014230929714709699, 0.014113374413327356, 0.014026049794552756, 0.013959668574428145, 0.013908213690544688, 0.013867656349920454, 0.013835221988805248, 0.013808952698272429, 0.013787437150972644, 0.01376963877928301, 0.013754783506479943, 0.013742284634700916, 0.013731691520251114, 0.013722653831932722, 0.013714896231495965, 0.013708200156451375, 0.013702390526130329, 0.01369732591399408, 0.013692891195445967, 0.013688991986940961, 0.013685550397094487, 0.013682501749579154, 0.013679792033354168, 0.013677375902570215, 0.013675215095663301, 0.013673277176844618, 0.013671534527519236, 0.013669963532904365, 0.013668543922175785, 0.0136672582301678, 0.013666091355914371, 0.013665030198799355, 0.013664063357252561, 0.013663180878119376, 0.013662374047292999, 0.013661635214106968, 0.013660957643476234, 0.01366033539094455, 0.013659763196719726, 0.013659236395510818, 0.01365875083956582, 0.013658302832776723, 0.013657889074095569, 0.013657506608810233, 0.013657152786475607, 0.013656825224498187, 0.01365652177653656, 0.013655737644102188, 0.01365511081330578, 0.013654608585613936, 0.013654205847430871, 0.013653882926526315, 0.013653624095244118, 0.013653416511864261, 0.013653249463399564, 0.013653113818692634, 0.013653001630109924, 0.013652905841454297, 0.013652820072602663, 0.013652738460088191, 0.01365265553881552, 0.013652566154235039, 0.013652465397201793, 0.01365234855579729, 0.013652211079858928, 0.013652048555019459, 0.013651856683828678, 0.013651631272096593, 0.013651368219022565, 0.013651063510002212, 0.013650713211269257, 0.013650313465762332, 0.013649860489835595, 0.013649350570690146, 0.013648780064730312, 0.013648145397504183, 0.013647443066556006, 0.013646669649535408, 0.0136458218214883, 0.01364489638774978, 0.013643890342854815, 0.013642800972371963, 0.013641626025267518, 0.013640364002362175, 0.013639014637150875, 0.013637579698941841, 0.013636064344485319, 0.013634479421654168, 0.013632845466552313, 0.013631199803126628, 0.013629609532121577, 0.013628196185667041, 0.013627184706691237, 0.013627006426324693, 0.013628531575981158, 0.013633644629082712, 0.013646851492133528, 0.013680590728424976, 0.013777779305436562, 0.014158133746927773, 0.017734482873906689, 0.03125596058278951, 0.015337541566040424, 0.014306623883345346, 0.014021406191273027, 0.01389874477773013, 0.013833128669487263, 0.013793134730422119, 0.013766558632531942, 0.013747792351269798, 0.013733939461242507, 0.013723369411885339, 0.013715101459672287, 0.013708513938515937, 0.013703195644473185, 0.013698864809944795, 0.013695322517679631, 0.013692424694639693, 0.013690064623752635, 0.013688161659930208, 0.013686653738582365, 0.013685492275758266, 0.013684638618559347, 0.013684061525354476, 0.013683735345241983, 0.013683638681806932, 0.013683753398389117, 0.013684063868167277, 0.013684556402416394, 0.013685218810262603, 0.013686040056759026, 0.013687009995378504, 0.013688119157482611, 0.01368935858589453, 0.013690719702971433, 0.013692194205939858, 0.013693773983990104, 0.013695451052907837, 0.013697217503978145, 0.013699065464618052, 0.013700987068741143, 0.01370297443527593, 0.013705019653581889, 0.013707114774755383, 0.013709251808011294, 0.013711422721475405, 0.013713619446839864, 0.013715833887424044, 0.013718057929252896, 0.013720283454818273, 0.01372250235922892, 0.013724706568483836, 0.013726888059625648, 0.013729038882544231, 0.013731151183210015, 0.013733217228121066, 0.013735229429749654, 0.013737180372772625, 0.013739062840868255, 0.013740869843858458, 0.013742594644971795, 0.013744230787999755, 0.013745772124116389, 0.013747212838130103, 0.013748547473937875, 0.013749770958953467, 0.013750878627287662, 0.013751866241464863, 0.013752730012470899, 0.013753466617939518, 0.013754073218299863, 0.013754547470725863, 0.013754887540747614, 0.013755092111407588, 0.013755160389868936, 0.013755114866983423, 0.013754978427938479, 0.013754751461157819, 0.013754434612647443, 0.013754028783954562, 0.013753535129328878, 0.013752955052104497, 0.013752290200325933, 0.013751542461646176, 0.01375071395752912, 0.013749807036792946, 0.013748824268534406, 0.013747768434477396, 0.013746642520791852, 0.013745449709431385, 0.013744193369040257, 0.013742877045480807, 0.013741504452034555, 0.013740079459329436, 0.013738606085046325, 0.013737088483457153, 0.013735530934845861, 0.013733937834862424, 0.013732313683857786, 0.013730663076245717, 0.013728990689935296, 0.013727301275874244, 0.013725599647740708, 0.013723890671817542, 0.013722179257079572, 0.013720470345520378, 0.013718768902741409, 0.013717079908821643, 0.013715408349482426, 0.013713759207557104, 0.013712137454770687, 0.013710548043830643, 0.01370899590082455, 0.013707485917915997, 0.013706022946324959, 0.013704611789573912, 0.013703257196975745, 0.013701963857333889, 0.013700736392819865, 0.013699579352987216, 0.013698497208874779, 0.013697494347145768, 0.013696575064202195, 0.013695743560206849, 0.013695003932937351, 0.013694360171388384, 0.013693816149029467, 0.013693375616616285, 0.013693042194443658, 0.013692819363917709, 0.013692710458314293, 0.013692718652579204, 0.013692846952014757, 0.013693098179686265, 0.013693474962371157, 0.01369397971486425, 0.013694614622444782, 0.013695381621305392, 0.013696282376741311, 0.01369731825890097, 0.013698490315908054, 0.01369979924418188, 0.013701245355809747, 0.01370282854286369, 0.013704548238607703, 0.013706403375611919, 0.013708392340881335, 0.013710512928219809, 0.013712762288188622, 0.013715136876184281, 0.013717632399353462, 0.013720243763284047, 0.013722965019657989, 0.013725789316320012, 0.013728708851499242, 0.013731714834208798, 0.013734797453127131, 0.013737945856517837, 0.013741148145950201, 0.013744391386717014, 0.013747661637882814, 0.013750944004806769, 0.013754222716744618, 0.013757481231719946, 0.01376070237025117, 0.01376386847872051, 0.013766961622181524, 0.013769963805243902, 0.013772857218387646, 0.013775624505697892, 0.013778249048649788, 0.013780715259290886, 0.013783008875060367, 0.013785117246635566, 0.013787029609692225, 0.01378873733136805, 0.013790234122569477, 0.013791516208070259, 0.013792582447591821, 0.013793434402672781, 0.013794076346040653, 0.013794515212281391, 0.013794760490738354, 0.013794824063632243, 0.013794719994259876, 0.013794464271698729, 0.013794074519641979, 0.013793569677769018, 0.013792969664407049, 0.013792295029178636, 0.013791566603902126, 0.013790805159282445, 0.013790031073976637, 0.013789264021525621, 0.013788522679492817, 0.013787824464018428, 0.013787185291946884, 0.013786619371766316, 0.013786139023845135, 0.013785754529882847, 0.013785474011112426, 0.013785303334593362, 0.013785246046898247], [0.013853460309753783, 0.013853399813017853, 0.013853218467882771, 0.013852916709076889, 0.013852495259519079, 0.013851955127889974, 0.013851297605260039, 0.013850524260801364, 0.013849636936618606, 0.0138486377417412, 0.013847529045325106, 0.013846313469119419, 0.013844993879258327, 0.013843573377444109, 0.013842055291591536, 0.013840443166008333, 0.013838740751189476, 0.013836951993306101, 0.013835081023472702, 0.013833132146877491, 0.013831109831863248, 0.013829018699046115, 0.013826863510562089, 0.013824649159530368, 0.013822380659824364, 0.013820063136241761, 0.013817701815165517, 0.013815302015809853, 0.013812869142146437, 0.013810408675608742, 0.01380792616867651, 0.013805427239446128, 0.013802917567299608, 0.013800402889792614, 0.013797889000891871, 0.013795381750705063, 0.013792887046862349, 0.013790410857727706, 0.013787959217642063, 0.013785538234429505, 0.013783154099432498, 0.013780813100384481, 0.013778521637479427, 0.013776286243058902, 0.013774113605410863, 0.013772010597262265, 0.013769984309652933, 0.013768042092003616, 0.01376619159934111, 0.013764440847821639, 0.013762798279905454, 0.013761272840786442, 0.013759874067976227, 0.013758612196289715, 0.013757498280882794, 0.013756544341460085, 0.01375576353130175, 0.01375517033535195, 0.01375478080225744, 0.013754612815917984, 0.013754686412764554, 0.013755024151536496, 0.013755651542650302, 0.013756597544129053, 0.013757895130163728, 0.013759581936210139, 0.013761700980358173, 0.013764301453492469, 0.013767439559026517, 0.013771179364746795, 0.013775593601979689, 0.01378076430777633, 0.013786783150712486, 0.013793751207267212, 0.013801777862522511, 0.013810978399576485, 0.013821469728729741, 0.013833363616823118, 0.013846756756836895, 0.013861717141720365, 0.013878266571388319, 0.013896359828924346, 0.013915862170219015, 0.013936528220327588, 0.013957986888351396, 0.013979737962216141, 0.014001165885451045, 0.014021574172537816, 0.014040239814510851, 0.01405648161143736, 0.014069731361760885, 0.014079594348251075, 0.014085887024220773, 0.014088645066352287, 0.014088102177165171, 0.014084646553149277, 0.014078765675194298, 0.01407099033992109, 0.014061846373898217, 0.014051818739287484, 0.014041329161954648, 0.014030725844296738, 0.014020282489124304, 0.014010203552556763, 0.01400063298724407, 0.013991664374765381, 0.013983351025051501, 0.013975715203310764, 0.01396875608107659, 0.013962456300095174, 0.013956787212348481, 0.013951712949030073, 0.013947193504953988, 0.013943187025251033, 0.013939651464054879, 0.013936545760324583, 0.01393383064997308, 0.013931469209253642, 0.013929427203322667, 0.013927673296443833, 0.013926179166273089, 0.013924919553661342, 0.013923872270942678, 0.013923018185261808, 0.013922341188703282, 0.013921828163453998, 0.013921468947659372, 0.013921256305781374, 0.013921185905941807, 0.0139212331657955, 0.013921375322873132, 0.013921613514976859, 0.013921949656091838, 0.013922386463355117, 0.013922927495826232, 0.013923577206124495, 0.013924341006378151, 0.013925225350374236, 0.01392623783432648, 0.01392738731931998, 0.013928684079279854, 0.013930139979293075, 0.013931768690347878, 0.01393358594812218, 0.013935609865460587, 0.013937861310769592, 0.013940364367933743, 0.013943146897780043, 0.013946241226974462, 0.013949684998052407, 0.01395352222481893, 0.013957804611686353, 0.013962593215216781, 0.01396796055351442, 0.013973993307606954, 0.013980795813763415, 0.013988494624790369, 0.013997244534160855, 0.014007236629094645, 0.014018709199349243, 0.014031962730243793, 0.014047380840455133, 0.01406546004183851, 0.01408685287495981, 0.014112431815047883, 0.014143386307309155, 0.014181374268387859, 0.014228766272704464, 0.014289053833885301, 0.014367561895465645, 0.014472756674688225, 0.014618796553526717, 0.014830891109385515, 0.015157658081659107, 0.015703258132772509, 0.01672562585416363, 0.019013891970540462, 0.025924637877040902, 0.058713217611486013, 0.060818757871117637, 0.024691627530671178, 0.017812851059319804, 0.015750166333834727, 0.014901859473577925, 0.014481826022971838, 0.014247409522197317, 0.014105246857336034, 0.014013615327522084, 0.013951741057857497, 0.013908400107786918, 0.013877128031546105, 0.013854005407715985, 0.013836553547014173, 0.013823148713281014, 0.013812695014303888, 0.013804433637132053, 0.013797827386083076, 0.013792488513363076, 0.013788132322576863, 0.013784546591941031, 0.013781570974126434, 0.013779082841303598, 0.013776987384929867, 0.013775210579518265, 0.013773694108563935, 0.013772391656552963, 0.013771266166131738, 0.013770287786432869, 0.013769432322522311, 0.013768680052372124, 0.013768014816256039, 0.013767423310075484, 0.013766894532751893, 0.013766419351015462, 0.013765990154367417, 0.013765600579827987, 0.013765245291072984, 0.013764919800241141, 0.013764620323428272, 0.013764343662932178, 0.013764087110859382, 0.013763848369879221, 0.013763625487811602, 0.013763416803427082, 0.013763220901375774, 0.013763036574579831, 0.013762862792753027, 0.013762698675969081, 0.013762543472405837, 0.013762396539554739, 0.013762257328315895, 0.013762125369503478, 0.013762000262370152, 0.013761881664828288, 0.013761769285100495, 0.013761662874577552, 0.01376156222169902, 0.013761467146701919, 0.013761377497108152, 0.013761293143842153, 0.01376121397788722, 0.013761139907403491, 0.013761070855242502, 0.013761006756803076, 0.01376094755818193, 0.013760893214579351, 0.013760843688926213, 0.013760798950704037, 0.013760758974933564, 0.013760723741311719, 0.013760693233479258, 0.013760667438405001, 0.013760646345874334, 0.013760629948071926, 0.013760618239250828, 0.013760611215481413, 0.013760608874475369, 0.013760611215481418, 0.013760618239250835, 0.013760629948071925, 0.013760646345874337, 0.013760667438405011, 0.013760693233479259, 0.01376072374131173, 0.013760758974933571, 0.013760798950704029, 0.013760843688926216, 0.013760893214579347, 0.013760947558181941, 0.013761006756803078, 0.013761070855242497, 0.013761139907403488, 0.013761213977887219, 0.013761293143842161, 0.013761377497108157, 0.013761467146701917, 0.013761562221699022, 0.013761662874577557, 0.013761769285100497, 0.013761881664828293, 0.013762000262370148, 0.013762125369503476, 0.013762257328315899, 0.013762396539554732, 0.013762543472405834, 0.013762698675969087, 0.013762862792753018, 0.013763036574579838, 0.013763220901375772, 0.013763416803427081, 0.013763625487811598, 0.013763848369879232, 0.013764087110859384, 0.013764343662932178, 0.013764620323428272, 0.013764919800241145, 0.013765245291072979, 0.013765600579827987, 0.013765990154367426, 0.013766419351015457, 0.013766894532751893, 0.013767423310075487, 0.013768014816256044, 0.013768680052372122, 0.013769432322522313, 0.013770287786432876, 0.013771266166131731, 0.013772391656552955, 0.013773694108563939, 0.013775210579518263, 0.01377698738492987, 0.013779082841303601, 0.013781570974126443, 0.013784546591941027, 0.013788132322576861, 0.013792488513363083, 0.013797827386083081, 0.013804433637132055, 0.013812695014303891, 0.013823148713281011, 0.013836553547014166, 0.01385400540771599, 0.013877128031546105, 0.013908400107786906, 0.013951741057857495, 0.01401361532752202, 0.014105246857336063, 0.014247409522197253, 0.014481826022971935, 0.014901859473577941, 0.015750166333835115, 0.017812851059318971, 0.024691627530666248, 0.06081875787103045, 0.05871321761154677, 0.025924637877045822, 0.01901389197054347, 0.016725625854163508, 0.015703258132772912, 0.015157658081659253, 0.014830891109385701, 0.014618796553526795, 0.014472756674688206, 0.014367561895465675, 0.014289053833885304, 0.014228766272704493, 0.014181374268387874, 0.014143386307309162, 0.014112431815047908, 0.014086852874959815, 0.014065460041838529, 0.014047380840455141, 0.014031962730243808, 0.014018709199349257, 0.014007236629094651, 0.013997244534160874, 0.013988494624790369, 0.013980795813763415, 0.013973993307606951, 0.013967960553514428, 0.013962593215216782, 0.013957804611686355, 0.013953522224818934, 0.013949684998052402, 0.013946241226974462, 0.013943146897780036, 0.013940364367933743, 0.013937861310769592, 0.01393560986546059, 0.013933585948122178, 0.01393176869034787, 0.013930139979293082, 0.013928684079279849, 0.013927387319319981, 0.01392623783432648, 0.013925225350374233, 0.013924341006378156, 0.013923577206124494, 0.013922927495826234, 0.013922386463355118, 0.013921949656091838, 0.013921613514976852, 0.013921375322873132, 0.013921233165795495, 0.013921185905941814, 0.013921209528474556, 0.013921280495838965, 0.013921399107978485, 0.013921565866956694, 0.01392178148022318, 0.013922046865244564, 0.013922363155560979, 0.013922731708347319, 0.013923154113579556, 0.013923632204929414, 0.01392416807253581, 0.013924764077830363, 0.013925422870626388, 0.01392614740871828, 0.013926940980280137, 0.013927807229402477, 0.013928750185162887, 0.013929774294693888, 0.013930884460790008, 0.013932086084689439, 0.013933385114775699, 0.013934788102076413, 0.013936302263592487, 0.013937935554679287, 0.013939696751927164, 0.013941595548261744, 0.013943642662315717, 0.013945849964526713, 0.013948230622909572, 0.013950799272056632, 0.013953572209667437, 0.013956567625835893, 0.013959805871477708, 0.013963309773726586, 0.013967105007948361, 0.013971220538327252, 0.013975689141913919, 0.013980548034787186, 0.013985839623833931, 0.013991612413953945, 0.01399792210874116, 0.014004832953560127, 0.014012419384378619, 0.014020768065072849, 0.014029980422101062, 0.01404017582119153, 0.014051495580018719, 0.014064108079652332, 0.014078215334692203, 0.014094061520839623, 0.014111944159827326, 0.0141322289574223, 0.014155369732075977, 0.014181935543310022, 0.014212648168749203, 0.014248434722190268, 0.014290502861779889, 0.01434045043987937, 0.014400428945483823, 0.014473393263021474, 0.014563494222534785, 0.014676715696863631, 0.014821947499691332, 0.01501287152435689, 0.015271449652317411, 0.015634775522063361, 0.016169559038224722, 0.017005655297234232, 0.01842309721503356, 0.021113744780410285, 0.027127009298009357, 0.04387344379796787, 0.087016058503602181, 0.066870863805469638, 0.033116119087539926, 0.02243044111755052, 0.018448088026012388, 0.01662236050923821, 0.015655236768645286, 0.01508859488538954, 0.014731379520170488, 0.014493398270282797, 0.014327880245644705, 0.014208730364872564, 0.014120513059921989, 0.014053652072771372, 0.014001966199506449, 0.013961330085006513, 0.01392891071403567, 0.01390271397171732, 0.013881305694451469, 0.013863634715346296, 0.013848917540878768, 0.013836561375143368, 0.013826111632967248, 0.013817215459594169, 0.013809595933838339, 0.013803033538019045, 0.013797352656384664, 0.013792411608190811, 0.013788095201357448, 0.013784309107486977, 0.013780975569147869, 0.013778030092734735, 0.013775418878117044, 0.01377309680449044, 0.013771025839945925, 0.013769173776589538, 0.013767513217791886, 0.013766020762173956, 0.013764676342191548, 0.013763462685015701, 0.013762364870764442, 0.013761369968689999, 0.01376046673614165, 0.013759645368349874, 0.013758897289562587, 0.013758214977990676, 0.013757591818522468, 0.013757021978345801, 0.013756500301545882, 0.013756022219484682, 0.013755583674355141, 0.013755181053773944, 0.013754811134655457, 0.013754471034914815, 0.013754158171796982, 0.013753870225830207, 0.013753136016984399, 0.013752562008503302, 0.013752113482466039, 0.013751764013900809, 0.013751493087436423, 0.013751284444372581, 0.013751124920975979, 0.013751003622439787, 0.013750911329539388, 0.013750840068726735, 0.013750782798388496, 0.013750733178557651, 0.013750685401157937, 0.013750634064529726, 0.013750574080584024, 0.013750500606137857, 0.013750408992242863, 0.013750294746925096, 0.013750153507907287, 0.013749981022719713, 0.013749773134218013, 0.013749525769982214, 0.013749234934419681, 0.013748896702674556, 0.013748507215688554, 0.013748062675994181, 0.013747559344085048, 0.013746993535541565, 0.013746361619555326, 0.013745660020180324, 0.013744885222687037, 0.013744033789031176, 0.013743102389044987, 0.013742087858137582, 0.013740987299109931, 0.013739798256993809, 0.013738519014884295, 0.013737149091507835, 0.013735690078882718, 0.013734147062301199, 0.013732531057609694, 0.013730863270417313, 0.013729182718241797, 0.01372756028955539, 0.013726125673644465, 0.013725121422656819, 0.013725018028221422, 0.013726777692661726, 0.013732519545157447, 0.013747425184125941, 0.013786262832271148, 0.013902651154950766, 0.014399688543411355, 0.020828324998659241, 0.022969454762878198, 0.015121665930039194, 0.014334098023354707, 0.014092511774906674, 0.013983652616994836, 0.013923836948342521, 0.013886736457947706, 0.0138617791022264, 0.013843995761110008, 0.013830777445242151, 0.013820636919164738, 0.013812670782871144, 0.013806301820416316, 0.013801145715916343, 0.013796937672559653, 0.013793489875287862, 0.013790665739954338, 0.013788363736602079, 0.013786506896994162, 0.013785035816498157, 0.013783903870622824, 0.013783073873510772, 0.013782515698111682, 0.013782204551704893, 0.013782119706803396, 0.013782243554142808, 0.013782560887197835, 0.013783058355630096, 0.0137837240437081, 0.013784547142375857, 0.013785517692349014, 0.013786626381699047, 0.013787864385693384, 0.01378922323974831, 0.013790694738593684, 0.013792270856392071, 0.013793943683773752, 0.013795705378660185, 0.013797548128435817, 0.013799464121550937, 0.013801445527038287, 0.013803484480734344, 0.013805573077234491, 0.013807703366796726, 0.013809867356552015, 0.013812057015491951, 0.013814264282790752, 0.013816481079085672, 0.013818699320391141, 0.013820910934360253, 0.013823107878635129, 0.013825282161048348, 0.013827425861450339, 0.013829531154946338, 0.013831590336330317, 0.0138335958455047, 0.013835540293672732, 0.013837416490088473, 0.013839217469145376, 0.013840936517580622, 0.013842567201569336, 0.013844103393480193, 0.013845539298062547, 0.013846869477836456, 0.013848088877458259, 0.013849192846840658, 0.013850177162812507, 0.013851038049113815, 0.01385177219453421, 0.013852376769017639, 0.013852849437574746, 0.013853188371863442, 0.013853392259320793, 0.013853460309753783, 0.013853414938901711, 0.013853278955543157, 0.013853052746861525, 0.013852736956800827, 0.013852332484032248, 0.013851840479126232, 0.013851262340948059, 0.013850599712300418, 0.013849854474840946, 0.013849028743306685, 0.013848124859082185, 0.013847145383150898, 0.013846093088473161, 0.013844970951836635, 0.013843782145227412, 0.013842530026772243, 0.013841218131302721, 0.013839850160594476, 0.013838429973333594, 0.013836961574863135, 0.013835449106761792, 0.01383389683630571, 0.013832309145863298, 0.013830690522270647, 0.01382904554623323, 0.01382737888179714, 0.013825695265929822, 0.01382399949824749, 0.013822296430922814, 0.013820590958802923, 0.013818888009763813, 0.013817192535323498, 0.013815509501531438, 0.013813843880148498, 0.013812200640126256, 0.01381058473939031, 0.013809001116927991, 0.013807454685175382, 0.013805950322694188, 0.013804492867123975, 0.013803087108389825, 0.013801737782140661, 0.01380044956338757, 0.013799227060306077, 0.01379807480816031, 0.013796997263300649, 0.013795998797180126, 0.013795083690327807, 0.013794256126210068, 0.013793520184903041, 0.013792879836491115, 0.013792338934097894, 0.013791901206446628, 0.013791570249837634, 0.013791349519420138, 0.013791242319625616, 0.013791251793619263, 0.013791380911615726, 0.013791632457895279, 0.013792009016347246, 0.013792512954359386, 0.013793146404866336, 0.013793911246366412, 0.013794809080717159, 0.013795841208525459, 0.013797008601960484, 0.013798311874838057, 0.013799751249855921, 0.013801326522902621, 0.013803037024420643, 0.013804881577879673, 0.013806858455510987, 0.013808965331571164, 0.013811199233544539, 0.013813556491860803, 0.013816032688896623, 0.013818622608248166, 0.013821320185501433, 0.01382411846198465, 0.013827009543254432, 0.01382998456433388, 0.013833033663972143, 0.013836145970414222, 0.013839309601336029, 0.013842511680689088, 0.013845738375188193, 0.013848974953036943, 0.013852205867199131, 0.013855414865068649, 0.013858585125755742, 0.01386169942539189, 0.013864740329870669, 0.01386769041331303, 0.013870532499315609, 0.013873249920765194, 0.013875826792753846, 0.013878248291984979, 0.013880500935107575, 0.013882572847731018, 0.013884454015530411, 0.013886136508901671, 0.013887614673095502, 0.013888885276648081, 0.013889947612200818, 0.013890803545399481, 0.013891457509395508, 0.013891916444432632, 0.013892189683973816, 0.013892288790689664, 0.01389222734728616, 0.013892020708507957, 0.013891685721654157, 0.013891240423551948, 0.013890703722148226, 0.013890095070723141, 0.013889434142249635, 0.013888740510683194, 0.013888033345039432, 0.01388733112108094, 0.013886651354363011, 0.0138860103573479, 0.013885423022343109, 0.013884902631195899, 0.013884460692008316, 0.013884106802643853, 0.013883848540475661, 0.013883691377671446, 0.013883638621301821], [0.013936336223621143, 0.013936275965016657, 0.013936095333612709, 0.013935794762149832, 0.01393537497023966, 0.013934836961944867, 0.013934182022419365, 0.013933411713635661, 0.013932527869234703, 0.013931532588540338, 0.013930428229786579, 0.013929217402612885, 0.013927902959887922, 0.013926487988927407, 0.013924975802176208, 0.013923369927429357, 0.013921674097669508, 0.013919892240601551, 0.013918028467967854, 0.013916087064728844, 0.013914072478196034, 0.01391198930720472, 0.013909842291415866, 0.013907636300836025, 0.013905376325645782, 0.013903067466427683, 0.013900714924885196, 0.013898323995146126, 0.01389590005574512, 0.013893448562382565, 0.013890975041560911, 0.01388848508520312, 0.013885984346364812, 0.013883478536158816, 0.013880973422020796, 0.013878474827456423, 0.013875988633426609, 0.013873520781545124, 0.013871077279286314, 0.013868664207428296, 0.013866287729990654, 0.01386395410696601, 0.013861669710193905, 0.013859441042783163, 0.013857274762559268, 0.013855177710095859, 0.013853156941989065, 0.013851219770150733, 0.013849373808036684, 0.013847627024891359, 0.013845987809285492, 0.013844465043452632, 0.013843068190198786, 0.013841807394471009, 0.013840693602029028, 0.013839738698071887, 0.013838955669126877, 0.013838358792003956, 0.013837963854139754, 0.013837788410169131, 0.013837852080014843, 0.013838176894087825, 0.013838787691198815, 0.013839712574277175, 0.0138409834276443, 0.013842636496909512, 0.013844713027845928, 0.013847259952877949, 0.01385033060173139, 0.013853985394602131, 0.013858292449703619, 0.013863327999747727, 0.013869176461316331, 0.013875929935504355, 0.013883686838219783, 0.013892549269342894, 0.01390261864509325, 0.013913989063874256, 0.01392673789656986, 0.01394091325128299, 0.013956518337155274, 0.013973493412859908, 0.013991696974848448, 0.014010889029875098, 0.014030720441772074, 0.014050732982506149, 0.014070374277036595, 0.01408902985402782, 0.014106071000781718, 0.014120912798463255, 0.014133072988000725, 0.014142220762170379, 0.014148206141460656, 0.014151064975434771, 0.014151000310796583, 0.014148345882841192, 0.014143520287781824, 0.014136980525570671, 0.014129181654197208, 0.014120546386575332, 0.014111445654005086, 0.014102189108495165, 0.014093023426942549, 0.014084135974431235, 0.014075661605045824, 0.014067690853721958, 0.014060278301851347, 0.014053450367931999, 0.014047212135754588, 0.014041553082445622, 0.014036451724254773, 0.014031879283044522, 0.01402780251359245, 0.01402418583919968, 0.014020992933836119, 0.0140181878718799, 0.014015735946807335, 0.014013604240996992, 0.014011762011632775, 0.014010180943099953, 0.014008835304311469, 0.01400770203985806, 0.014006760816410963, 0.014005994040064864, 0.014005386855953979, 0.014004927138213422, 0.014004605475942233, 0.014004415159049804, 0.014004352166567952, 0.014004396790767752, 0.014004531013741195, 0.014004755891307929, 0.014005073198947582, 0.014005485455901343, 0.014005995959794838, 0.014006608832705505, 0.014007329079925497, 0.014008162663052062, 0.014009116589488967, 0.014010199020988774, 0.014011419404533661, 0.014012788629681038, 0.014014319217537066, 0.014016025547830623, 0.014017924132229668, 0.014020033944184147, 0.014022376818354417, 0.014024977936303301, 0.014027866419892119, 0.014031076060138502, 0.014034646217749495, 0.014038622942967646, 0.014043060377953507, 0.014048022526416315, 0.014053585505162461, 0.014059840434497284, 0.014066897184815115, 0.014074889284220755, 0.014083980420708398, 0.014094373164722916, 0.014106320830366781, 0.014120143846800944, 0.014136252728833457, 0.014155180897648632, 0.014177632532985211, 0.014204553936937038, 0.014237242708338626, 0.014277519662859641, 0.014328008679260215, 0.014392610019358428, 0.01447733760569796, 0.014591881102353238, 0.014752713618125543, 0.01498978355520466, 0.015362439989557192, 0.01600262062399517, 0.017254804145910477, 0.020262114513503363, 0.030559448867736129, 0.079119547921165323, 0.043322030045923263, 0.021597728064024851, 0.017012010478972044, 0.015480149626427967, 0.014810234604168073, 0.01446567199760437, 0.014268435895462056, 0.014146672986764803, 0.014067168687487586, 0.014012965587614532, 0.01397472365183006, 0.013946981132989495, 0.013926385782034969, 0.013910796256556971, 0.013898798116669466, 0.013889430074919946, 0.013882022613872615, 0.013876099399382466, 0.013871315164110111, 0.013867415494713204, 0.013864210168015942, 0.013861555090185499, 0.013859339827391837, 0.013857478847569342, 0.013855905272295851, 0.013854566355859544, 0.013853420171523982, 0.013852433153715336, 0.013851578255101981, 0.013850833550795237, 0.01385018117133621, 0.013849606479974953, 0.013849097433220367, 0.013848644080123269, 0.013848238167462059, 0.01384787282640698, 0.01384754232233389, 0.013847241853920925, 0.013846967390956874, 0.013846715542743589, 0.013846483450817265, 0.013846268701105531, 0.013846069251698227, 0.013845883373222293, 0.013845709599438543, 0.01384554668616436, 0.013845393577006548, 0.013845249374686066, 0.013845113316971976, 0.013844984756427665, 0.01384486314332131, 0.013844748011170986, 0.013844638964490008, 0.013844535668375684, 0.013844437839646154, 0.013844345239281325, 0.01384425766596494, 0.013844174950558829, 0.013844096951368014, 0.013844023550078716, 0.013843954648269704, 0.013843890164413779, 0.013843830031298894, 0.013843774193809482, 0.013843722607017888, 0.013843675234543256, 0.01384363204714188, 0.01384359302149871, 0.013843558139193907, 0.01384352738582296, 0.013843500750251628, 0.013843478223990723, 0.013843459800677606, 0.013843445475653953, 0.013843435245631284, 0.013843429108437505, 0.013843427062839414, 0.013843429108437508, 0.01384343524563128, 0.013843445475653951, 0.013843459800677613, 0.013843478223990732, 0.013843500750251632, 0.013843527385822965, 0.013843558139193909, 0.013843593021498702, 0.013843632047141882, 0.013843675234543254, 0.013843722607017902, 0.013843774193809484, 0.013843830031298889, 0.013843890164413775, 0.0138439546482697, 0.013844023550078719, 0.013844096951368019, 0.013844174950558825, 0.013844257665964942, 0.013844345239281328, 0.013844437839646158, 0.013844535668375684, 0.013844638964490005, 0.013844748011170983, 0.013844863143321316, 0.013844984756427663, 0.013845113316971974, 0.013845249374686071, 0.013845393577006537, 0.013845546686164363, 0.013845709599438545, 0.013845883373222295, 0.01384606925169822, 0.013846268701105538, 0.013846483450817269, 0.013846715542743587, 0.013846967390956873, 0.013847241853920923, 0.013847542322333886, 0.013847872826406985, 0.013848238167462069, 0.013848644080123268, 0.013849097433220365, 0.013849606479974956, 0.013850181171336217, 0.013850833550795236, 0.013851578255101986, 0.01385243315371534, 0.013853420171523981, 0.01385456635585954, 0.013855905272295852, 0.013857478847569344, 0.013859339827391844, 0.013861555090185499, 0.01386421016801595, 0.013867415494713197, 0.013871315164110108, 0.013876099399382471, 0.013882022613872618, 0.013889430074919943, 0.01389879811666947, 0.013910796256556964, 0.013926385782034961, 0.013946981132989504, 0.013974723651830055, 0.014012965587614518, 0.014067168687487587, 0.014146672986764711, 0.014268435895462107, 0.014465671997604276, 0.014810234604168243, 0.015480149626428004, 0.017012010478972942, 0.021597728064022957, 0.043322030045903639, 0.079119547921245273, 0.030559448867754108, 0.020262114513505021, 0.017254804145911962, 0.016002620623995028, 0.015362439989557457, 0.014989783555204758, 0.014752713618125685, 0.014591881102353292, 0.014477337605697941, 0.014392610019358456, 0.014328008679260219, 0.01427751966285966, 0.01423724270833864, 0.014204553936937044, 0.01417763253298523, 0.014155180897648638, 0.014136252728833476, 0.014120143846800952, 0.014106320830366793, 0.014094373164722934, 0.014083980420708402, 0.014074889284220769, 0.014066897184815109, 0.014059840434497286, 0.014053585505162463, 0.014048022526416322, 0.014043060377953508, 0.014038622942967649, 0.014034646217749499, 0.014031076060138495, 0.014027866419892116, 0.014024977936303296, 0.014022376818354419, 0.014020033944184147, 0.014017924132229671, 0.014016025547830621, 0.014014319217537057, 0.014012788629681042, 0.014011419404533654, 0.014010199020988778, 0.014009116589488967, 0.014008162663052057, 0.014007329079925499, 0.014006608832705499, 0.014005995959794836, 0.014005485455901344, 0.01400507319894758, 0.014004755891307926, 0.014004531013741189, 0.014004396790767749, 0.014004352166567962, 0.014004374471830613, 0.014004441480523468, 0.014004553471937511, 0.014004710913485929, 0.014004914463621633, 0.014005164975972907, 0.014005463504749448, 0.014005811311487447, 0.014006209873220739, 0.014006660892184547, 0.014007166307179995, 0.014007728306752312, 0.014008349344363076, 0.014009032155768618, 0.014009779778852238, 0.014010595576200336, 0.014011483260760299, 0.014012446924974673, 0.014013491073852032, 0.014014620662512757, 0.014015841138839103, 0.014017158491968395, 0.014018579307496323, 0.014020110830412488, 0.014021761036974521, 0.014023538716949986, 0.014025453567923625, 0.014027516303693035, 0.014029738779172811, 0.014032134134711237, 0.014034716963319274, 0.01403750350504533, 0.014040511873639076, 0.0140437623217803, 0.014047277552566623, 0.014051083086738395, 0.01405520769737658, 0.014059683926683849, 0.014064548703139746, 0.01406984408206606, 0.014075618138797055, 0.014081926051699955, 0.01408883142289661, 0.014096407898618823, 0.014104741169989263, 0.014113931460505096, 0.014124096641275233, 0.014135376162995317, 0.014147936060446561, 0.014161975379495838, 0.014177734511063751, 0.014195506111164689, 0.014215649571937546, 0.014238610434952489, 0.014264946785075385, 0.014295365663410477, 0.014330774115966618, 0.014372352040825466, 0.014421658206976433, 0.014480787973289814, 0.014552613772267289, 0.01464116215060705, 0.014752223985614189, 0.014894378832031723, 0.015080789056575835, 0.015332503261090202, 0.015684912319363663, 0.016201312774428333, 0.017004064982397787, 0.018354707158038139, 0.02089198533715473, 0.026481140271508729, 0.041820535203375669, 0.0840522820391367, 0.071356653926317654, 0.034591577234873896, 0.022935546606456018, 0.018688575977669618, 0.016772322457570214, 0.015768305831252893, 0.015184702419643521, 0.014819022259341357, 0.014576582735683567, 0.014408643551483269, 0.01428816895266243, 0.014199242923107118, 0.014132030345546838, 0.014080204417280672, 0.014039554998333975, 0.014007198309555158, 0.013981109170636536, 0.013959834093226191, 0.013942309755750781, 0.013927744978687267, 0.013915542112127265, 0.013905243535746573, 0.013896494539568158, 0.013889017117704653, 0.013882591172361437, 0.013877040837560329, 0.013872224396402367, 0.013868026757419858, 0.013864353777765527, 0.013861127935687733, 0.013858285000047994, 0.013855771444402967, 0.013853542422588745, 0.013851560171647525, 0.013849792742785652, 0.013848212986158384, 0.013846797733546358, 0.013845527136411332, 0.013844384126767926, 0.013843353975745985, 0.013842423930321875, 0.013841582912951839, 0.013840821272093231, 0.01384013057410362, 0.013839503428947426, 0.013838933343652044, 0.013838414598640564, 0.013837942143002701, 0.013837511505506238, 0.013837118718740823, 0.013836760254258396, 0.013836432966953499, 0.013836134047233937, 0.013835860979780137, 0.013835175435837876, 0.013834653629054217, 0.013834258574985141, 0.013833962380386613, 0.013833743586806122, 0.013833585340980227, 0.013833474117184403, 0.013833398814157542, 0.013833350110032333, 0.013833319997386124, 0.013833301445579203, 0.013833288154038293, 0.013833274371161166, 0.013833254760981312, 0.01383322430485002, 0.013833178228943923, 0.013833111950895451, 0.013833021040605372, 0.013832901191555667, 0.01383274819984825, 0.013832557948856948, 0.013832326397870021, 0.013832049573472267, 0.013831723562711474, 0.013831344507347194, 0.013830908598723936, 0.01383041207308093, 0.013829851207451938, 0.013829222316783884, 0.013828521753607298, 0.013827745912672535, 0.013826891244662824, 0.013825954285801696, 0.013824931714549845, 0.013823820453766516, 0.013822617848670551, 0.013821321971206675, 0.013819932136461318, 0.013818449778715249, 0.013816879947066731, 0.013815233890386065, 0.01381353360665257, 0.013811820045532865, 0.013810168362485621, 0.013808717408263997, 0.013807729563645219, 0.013807719727748774, 0.013809755607470085, 0.013816230161564413, 0.013833133534348008, 0.013878130887892621, 0.014019040541577012, 0.014685666327005586, 0.028070005534143606, 0.019451161204186558, 0.014975366070876333, 0.014358328163029836, 0.014151624444711759, 0.014054487431296846, 0.013999774576937485, 0.013965279588138374, 0.013941804505001701, 0.013924932771278289, 0.01391230894409555, 0.013902574134575197, 0.013894895047540587, 0.013888735156082842, 0.01388373496106609, 0.01387964543959736, 0.013876289158804435, 0.01387353657525923, 0.013871291058901291, 0.013869479129615633, 0.013868043916026978, 0.013866940666478481, 0.013866133602017919, 0.013865593667913878, 0.013865296899655769, 0.013865223217314971, 0.01386535552377296, 0.013865679021973691, 0.013866180692385252, 0.013866848889257623, 0.013867673026094936, 0.013868643328930699, 0.01386975064171765, 0.0138709862722072, 0.013872341869612977, 0.013873809327476621, 0.013875380706713871, 0.013877048174977265, 0.013878803959339528, 0.0138806403099571, 0.013882549472872577, 0.013884523670497287, 0.013886555088610425, 0.01388863586893953, 0.013890758106564862, 0.013892913851528171, 0.013895095114134157, 0.013897293873516091, 0.01389950208910134, 0.013901711714661511, 0.013903914714668918, 0.013906103082707275, 0.013908268861704454, 0.013910404165766844, 0.013912501203402901, 0.0139145523019268, 0.013916549932833982, 0.013918486737938173, 0.013920355556057157, 0.013922149450030343, 0.013923861733847286, 0.013925485999662906, 0.013927016144472448, 0.013928446396217832, 0.0139297713390979, 0.01393098593785648, 0.013932085560828294, 0.013933066001528709, 0.013933923498583901, 0.013934654753810279, 0.01393525694826671, 0.013935727756121476, 0.013936065356195045, 0.013936268441062183, 0.013936336223621143, 0.0139362910313685, 0.013936155583321003, 0.013935930265202229, 0.013935615718529047, 0.013935212838587148, 0.01393472277161544, 0.013934146911217455, 0.013933486894023083, 0.013932744594628406, 0.013931922119845659, 0.013931021802299734, 0.013930046193410803, 0.013928998055806127, 0.013927880355206819, 0.013926696251837374, 0.013925449091408484, 0.013924142395723423, 0.013922779852961035, 0.013921365307687176, 0.013919902750647181, 0.013918396308391184, 0.013916850232782885, 0.013915268890441439, 0.013913656752163531, 0.013912018382371124, 0.013910358428627706, 0.013908681611262573, 0.013906992713139993, 0.013905296569606302, 0.01390359805864467, 0.013901902091262998, 0.013900213602136826, 0.013898537540524359, 0.013896878861467052, 0.013895242517284186, 0.013893633449365318, 0.013892056580260336, 0.013890516806061282, 0.013889018989065692, 0.013887567950706099, 0.013886168464724947, 0.013884825250569043, 0.013883542966972055, 0.013882326205687799, 0.013881179485331244, 0.013880107245277653, 0.013879113839564007, 0.013878203530729662, 0.013877380483526118, 0.01387664875841803, 0.013876012304789314, 0.013875474953759855, 0.013875040410509226, 0.013874712245994568, 0.013874493887939881, 0.013874388610964615, 0.013874399525709038, 0.013874529566804683, 0.013874781479528926, 0.013875157804974721, 0.013875660863559965, 0.013876292736696929, 0.013877055246440805, 0.013877949932939591, 0.013878978029516086, 0.013880140435228106, 0.013881437684776971, 0.013882869915669001, 0.013884436832581922, 0.013886137668950161, 0.013887971145862196, 0.013889935428462159, 0.013892028080167899, 0.013894246015161199, 0.013896585449773301, 0.013899041853579991, 0.013901609901234119, 0.01390428342629616, 0.01390705537856904, 0.013909917786694693, 0.01391286172801476, 0.013915877307922335, 0.01391895365111835, 0.013922078907314835, 0.013925240273975447, 0.013928424038628193, 0.013931615643103403, 0.013934799771721972, 0.013937960464969682, 0.013941081259535505, 0.013944145354768728, 0.013947135804636619, 0.013950035733170576, 0.013952828570218706, 0.013955498303133517, 0.013958029738884411, 0.013960408770070253, 0.013962622637497306, 0.013964660181450343, 0.013966512073583702, 0.01396817102153289, 0.013969631938913173, 0.013970892074319447, 0.013971951094230991, 0.013972811116289695, 0.01397347669117332, 0.013973954733123784, 0.013974254401005994, 0.013974386933460601, 0.013974365443181116, 0.013974204676518673, 0.013973920745447576, 0.013973530839388576, 0.013973052924489584, 0.013972505437733301, 0.013971906982725334, 0.013971276033276938, 0.013970630650001349, 0.013969988214163927, 0.013969365182028468, 0.013968776861987085, 0.013968237215894181, 0.013967758685285509, 0.013967352042571279, 0.013967026266862416, 0.013966788443818139, 0.013966643688783241, 0.013966595092497636], [0.013994433016825876, 0.013994373231556358, 0.01399419401893659, 0.013993895808048624, 0.013993479312418839, 0.013992945527616218, 0.013992295727917957, 0.013991531462069324, 0.013990654548172823, 0.013989667067748596, 0.013988571359013987, 0.013987370009437202, 0.013986065847625188, 0.013984661934610941, 0.013983161554610121, 0.013981568205321067, 0.013979885587845488, 0.013978117596309892, 0.013976268307270808, 0.013974341968988026, 0.013972342990652319, 0.013970275931654418, 0.013968145490984022, 0.01396595649684718, 0.013963713896591731, 0.013961422747031191, 0.013959088205257665, 0.01395671552003654, 0.013954310023876502, 0.013951877125871204, 0.013949422305412358, 0.013946951106877641, 0.013944469135403275, 0.01394198205385818, 0.013939495581145971, 0.013937015491972751, 0.013934547618233666, 0.013932097852188702, 0.013929672151620347, 0.013927276547192512, 0.013924917152262014, 0.013922600175432731, 0.013920331936188943, 0.013918118883999488, 0.013915967621350691, 0.013913884931244049, 0.013911877809788071, 0.013909953504623573, 0.01390811956005162, 0.01390638386988651, 0.01390475473923509, 0.013903240956612722, 0.013901851878048455, 0.013900597525110029, 0.013899488699094898, 0.013898537113986552, 0.013897755551160918, 0.013897158039234556, 0.013896760062854637, 0.013896578804602251, 0.013896633424455693, 0.013896945381342512, 0.013897538801050309, 0.01389844089394425, 0.01389968242422655, 0.013901298229398836, 0.013903327783488321, 0.013905815789563835, 0.013908812774890065, 0.013912375644214327, 0.013916568121322404, 0.013921460974176299, 0.013927131872959988, 0.013933664672567023, 0.013941147843274366, 0.013949671702006668, 0.013959324035849128, 0.013970183684749346, 0.013982311701348117, 0.013995739886346559, 0.014010456867963331, 0.014026392500246621, 0.014043402193203479, 0.014061253754160334, 0.014079620168054904, 0.014098082085948815, 0.014116143184915581, 0.01413325971363078, 0.014148882552407909, 0.014162506667172796, 0.014173720064486684, 0.014182243434580563, 0.014187953214128095, 0.014190884456186775, 0.014191214432940242, 0.014189231788518499, 0.014185298180282652, 0.014179809396707236, 0.014173161389039905, 0.01416572435928562, 0.014157825820584214, 0.014149741892855538, 0.014141695172097946, 0.014133857221479551, 0.014126353870332915, 0.01411927186317353, 0.014112665815842416, 0.014106564814495685, 0.014100978293028081, 0.014095901037975984, 0.014091317307613272, 0.014087204131179011, 0.014083533892428881, 0.01408027631357776, 0.014077399952100701, 0.014074873311278775, 0.014072665650603288, 0.014070747567015356, 0.014069091403966148, 0.014067671533111951, 0.014066464543287737, 0.014065449363146987, 0.014064607337298174, 0.014063922270651905, 0.014063380451756697, 0.014062970662911373, 0.014062684182593503, 0.014062514784063179, 0.014062458732747479, 0.014062500790271271, 0.014062627287921502, 0.014062839205137834, 0.014063138188435971, 0.014063526572957417, 0.014064007413404791, 0.014064584525164608, 0.01406526253670215, 0.014066046954641014, 0.01406694424332657, 0.014067961921139082, 0.014069108676389266, 0.014070394506330313, 0.014071830883693293, 0.014073430956250587, 0.014075209786304747, 0.014077184638778268, 0.014079375328871789, 0.014081804643230712, 0.014084498852450613, 0.014087488337881045, 0.01409080836251049, 0.014094500024872253, 0.014098611447315775, 0.014103199266962798, 0.01410833052114361, 0.01411408505194681, 0.014120558601012113, 0.014127866832396344, 0.014136150618384099, 0.014145583066459329, 0.014156378980920297, 0.01416880778173964, 0.01418321141642068, 0.014200029618059877, 0.01421983619626253, 0.014243392280467568, 0.014271726285220875, 0.014306257226166023, 0.014348990696736093, 0.014402841269428564, 0.01447218458271763, 0.014563848370188075, 0.014688994260676063, 0.014866943276949889, 0.015133639547825553, 0.015562510343759568, 0.016323763417533603, 0.017889786074930573, 0.021985977292502366, 0.038268518045049778, 0.087257083495601864, 0.032399859520092632, 0.0195569930576046, 0.016410772152133615, 0.015256380110134891, 0.014723293775510312, 0.014439464616251141, 0.014273131291060415, 0.014168712888016542, 0.014099689514538969, 0.014052195852824946, 0.014018452829444318, 0.013993844288403962, 0.013975503078404792, 0.013961579701559628, 0.01395084248143162, 0.013942448575582252, 0.013935807538949713, 0.013930497211090565, 0.013926210297661272, 0.013922719548220592, 0.013919854525761294, 0.013917485786589478, 0.01391551390567744, 0.013913861735379739, 0.013912468861747886, 0.013911287579600719, 0.013910279933304247, 0.013909415515859001, 0.01390866981452348, 0.013908022955027093, 0.013907458739671155, 0.013906963904327881, 0.013906527540027197, 0.013906140639387898, 0.013905795738527611, 0.013905486632555704, 0.013905208148184791, 0.013904955960981307, 0.013904726447724143, 0.013904516566542038, 0.013904323759154173, 0.013904145870792693, 0.013903981084341287, 0.0139038278659582, 0.013903684920018637, 0.013903551151652553, 0.013903425635497312, 0.013903307589555911, 0.013903196353264168, 0.013903091369040374, 0.013902992166725612, 0.013902898350430811, 0.013902809587394298, 0.013902725598522899, 0.013902646150347239, 0.013902571048167806, 0.013902500130206212, 0.013902433262607128, 0.013902370335161758, 0.013902311257644746, 0.013902255956673808, 0.013902204373015811, 0.013902156459274994, 0.013902112177909241, 0.013902071499528473, 0.013902034401436546, 0.013902000866383983, 0.0139019708815038, 0.013901944437407337, 0.013901921527420117, 0.013901902146941786, 0.013901886292916193, 0.013901873963400466, 0.013901865157224112, 0.013901859873730944, 0.013901858112598463, 0.013901859873730944, 0.013901865157224112, 0.013901873963400462, 0.013901886292916197, 0.013901902146941796, 0.013901921527420123, 0.013901944437407346, 0.013901970881503805, 0.013902000866383971, 0.01390203440143655, 0.01390207149952848, 0.013902112177909253, 0.013902156459274997, 0.013902204373015807, 0.013902255956673808, 0.013902311257644745, 0.013902370335161758, 0.013902433262607129, 0.013902500130206205, 0.0139025710481678, 0.013902646150347246, 0.013902725598522904, 0.0139028095873943, 0.013902898350430811, 0.013902992166725607, 0.013903091369040379, 0.013903196353264159, 0.013903307589555908, 0.013903425635497322, 0.013903551151652543, 0.013903684920018644, 0.0139038278659582, 0.013903981084341287, 0.013904145870792681, 0.013904323759154177, 0.013904516566542043, 0.013904726447724147, 0.013904955960981307, 0.013905208148184793, 0.0139054866325557, 0.01390579573852762, 0.013906140639387905, 0.013906527540027197, 0.01390696390432788, 0.013907458739671159, 0.013908022955027096, 0.013908669814523478, 0.013909415515858999, 0.013910279933304251, 0.013911287579600714, 0.013912468861747884, 0.013913861735379745, 0.01391551390567744, 0.013917485786589485, 0.013919854525761291, 0.013922719548220601, 0.013926210297661272, 0.013930497211090565, 0.01393580753894972, 0.013942448575582253, 0.013950842481431618, 0.013961579701559632, 0.013975503078404785, 0.013993844288403955, 0.014018452829444319, 0.014052195852824946, 0.014099689514538946, 0.01416871288801654, 0.014273131291060292, 0.014439464616251198, 0.014723293775510174, 0.015256380110135132, 0.016410772152133501, 0.019556993057606577, 0.032399859520086678, 0.087257083495592747, 0.038268518045090426, 0.021985977292508802, 0.017889786074931496, 0.016323763417534401, 0.015562510343759517, 0.015133639547825723, 0.014866943276949984, 0.014688994260676155, 0.014563848370188115, 0.014472184582717623, 0.014402841269428587, 0.014348990696736098, 0.014306257226166042, 0.014271726285220889, 0.014243392280467565, 0.014219836196262549, 0.014200029618059884, 0.014183211416420691, 0.014168807781739649, 0.014156378980920311, 0.014145583066459343, 0.014136150618384106, 0.014127866832396351, 0.014120558601012112, 0.014114085051946815, 0.01410833052114361, 0.014103199266962803, 0.014098611447315775, 0.014094500024872256, 0.014090808362510494, 0.014087488337881038, 0.014084498852450613, 0.014081804643230705, 0.014079375328871782, 0.014077184638778268, 0.014075209786304747, 0.014073430956250584, 0.014071830883693282, 0.014070394506330316, 0.014069108676389257, 0.01406796192113908, 0.014066944243326574, 0.014066046954641013, 0.014065262536702159, 0.014064584525164601, 0.014064007413404789, 0.014063526572957419, 0.014063138188435974, 0.014062839205137827, 0.014062627287921504, 0.014062500790271267, 0.014062458732747488, 0.014062479755189384, 0.014062542909004078, 0.014062648454173729, 0.014062796825725527, 0.01406298863633903, 0.014063224680040799, 0.01406350593703189, 0.014063833579707669, 0.014064208979945481, 0.014064633717752477, 0.0140651095913845, 0.014065638629068129, 0.014066223102481458, 0.014066865542176264, 0.014067568755154433, 0.014068335844847388, 0.014069170233787624, 0.014070075689309283, 0.014071056352669651, 0.014072116772048966, 0.014073261939961421, 0.0140744973357015, 0.014075828973555669, 0.014077263457637264, 0.014078808044354008, 0.014080470713699417, 0.014082260250778659, 0.014084186339242907, 0.01408625966862744, 0.014088492057977785, 0.014090896598625157, 0.014093487819556884, 0.014096281879548827, 0.014099296791119615, 0.014102552682478583, 0.014106072105030072, 0.014109880395746455, 0.014114006105935179, 0.014118481510740445, 0.014123343217324429, 0.014128632894316014, 0.014134398151138181, 0.014140693603694614, 0.01414758217325458, 0.0141551366791219, 0.014163441804069626, 0.014172596536364582, 0.014182717226074129, 0.014193941439996145, 0.014206432864505921, 0.01422038759711359, 0.014236042298041304, 0.014253684861815056, 0.014273668545625371, 0.014296430903561943, 0.014322519500727311, 0.014352627345925583, 0.014387642501286537, 0.014428718774816395, 0.014477378441793701, 0.014535664792359801, 0.014606374278920548, 0.014693419693681842, 0.014802416498445995, 0.014941664297732566, 0.015123860277214577, 0.015369242016571687, 0.015711701853501688, 0.01621156244048836, 0.016984728987543905, 0.018277023047889425, 0.020682760896812945, 0.025915599934362606, 0.040080868671841699, 0.080909677012073244, 0.075491119494055556, 0.036003661146169333, 0.023391597631170154, 0.018891349657649551, 0.016890694248615602, 0.015853004460816968, 0.015254204671595715, 0.014881074329196572, 0.014634783792711312, 0.014464798535923274, 0.014343236212685104, 0.014253753310962318, 0.014186286911192406, 0.014134383487784981, 0.014093759945589583, 0.014061489353289143, 0.014035520475032301, 0.014014383859737278, 0.013997006325015278, 0.013982590592517736, 0.013970535269442357, 0.013960380485564642, 0.013951770234733943, 0.013944425826426575, 0.013938126869845158, 0.013932697454886237, 0.013927995976028625, 0.01392390754731895, 0.013920338285164723, 0.013917210954274475, 0.013914461619867428, 0.013912037050620935, 0.01390989268726381, 0.01390799104129356, 0.01390630042358874, 0.013904793928088501, 0.013903448614180521, 0.013902244844995313, 0.013901165748846804, 0.01390019677855917, 0.013899325349067668, 0.013898540537965524, 0.013897832836942613, 0.013897193944579824, 0.013896616592912914, 0.013896094401698327, 0.013895621755503443, 0.013895193699681306, 0.013894805852032382, 0.013894454327547273, 0.013894135674096569, 0.013893846817314915, 0.013893585013232103, 0.01389293861422977, 0.013892461048696056, 0.013892112666440672, 0.013891863832378882, 0.013891691954181698, 0.013891579449028146, 0.013891512332661527, 0.013891479227887575, 0.013891470660150831, 0.0138914785523373, 0.013891495859578199, 0.013891516303552204, 0.01389153417821774, 0.013891544207281472, 0.01389154143942257, 0.013891521171236158, 0.013891478890611196, 0.013891410235196716, 0.013891310961989953, 0.013891176925069675, 0.013891004059216727, 0.013890788367693035, 0.013890525912849732, 0.013890212808549924, 0.013889845213659196, 0.01388941932611203, 0.013888931377342664, 0.013888377627222108, 0.013887754360134825, 0.013887057883559572, 0.01388628453164464, 0.013885430678042458, 0.013884492765110836, 0.013883467361203968, 0.013882351265380625, 0.013881141691579143, 0.013879836585971422, 0.013878435168836627, 0.013876938859166521, 0.013875352862192413, 0.013873688929269559, 0.013871970245444098, 0.013870240302397139, 0.013868579526923597, 0.013867137714367372, 0.013866200530134581, 0.013866334698889437, 0.013868731387427464, 0.013876107682335239, 0.013895432284067619, 0.01394801407764332, 0.014120828245524778, 0.015043987240427756, 0.048461556231376636, 0.017674798075407911, 0.014859420350321709, 0.014366603600344528, 0.014188481614601171, 0.014101543870217529, 0.014051446241129665, 0.014019376152577751, 0.0139973127651146, 0.01398132650925854, 0.013969290327108221, 0.013959962998377774, 0.013952576461079745, 0.013946632539336026, 0.013941795392535842, 0.013937831190854731, 0.013934572596021178, 0.01393189697062637, 0.013929712530724584, 0.013927949273499902, 0.013926552872539879, 0.013925480472129293, 0.013924697728657688, 0.01392417669020176, 0.013923894251289568, 0.013923831009884122, 0.01392397041050758, 0.01392429809415628, 0.013924801399845827, 0.013925468978845329, 0.013926290493719214, 0.013927256381950835, 0.013928357669297913, 0.013929585821855222, 0.013930932628553687, 0.01393239010783265, 0.013933950433698855, 0.013935605877484528, 0.013937348762441248, 0.013939171428929946, 0.013941066208443095, 0.013943025405060188, 0.013945041283219278, 0.013947106060906092, 0.013949211907532002, 0.013951350945904373, 0.013953515257796197, 0.013955696892701286, 0.013957887879423111, 0.013960080240192066, 0.013962266007041349, 0.01396443724019634, 0.013966586048251477, 0.013968704609919403, 0.013970785197144514, 0.013972820199375924, 0.013974802148795358, 0.013976723746292805, 0.013978577887980329, 0.013980357692030007, 0.013982056525617683, 0.013983668031750976, 0.013985186155756918, 0.013986605171203063, 0.013987919705026932, 0.013989124761649485, 0.0139902157458548, 0.013991188484223637, 0.013992039244919098, 0.013992764755634855, 0.013993362219530693, 0.013993829328998751, 0.013994164277122323, 0.013994365766711743, 0.013994433016825876, 0.013994388179568232, 0.013994253795515523, 0.013994030247424089, 0.013993718171876737, 0.013993318457275037, 0.01399283224104726, 0.013992260906089658, 0.013991606076464378, 0.013990869612381555, 0.013990053604497361, 0.013989160367564051, 0.013988192433471366, 0.013987152543722008, 0.013986043641386467, 0.013984868862584814, 0.013983631527545316, 0.013982335131289918, 0.013980983333999079, 0.013979579951107326, 0.013978128943181664, 0.013976634405634122, 0.01397510055831858, 0.013973531735060956, 0.013971932373169431, 0.013970307002969503, 0.013968660237406319, 0.013966996761753225, 0.013965321323462782, 0.013963638722192908, 0.013961953800037155, 0.013960271431984176, 0.01395859651662759, 0.013956933967142812, 0.013955288702543736, 0.013953665639227009, 0.013952069682807213, 0.013950505720242057, 0.013948978612240977, 0.013947493185946343, 0.013946054227871003, 0.01394466647707086, 0.013943334618525665, 0.013942063276695865, 0.013940857009217272, 0.013939720300689802, 0.01393865755650972, 0.013937673096688726, 0.013936771149596072, 0.013935955845552782, 0.013935231210199404, 0.013934601157550547, 0.013934069482641488, 0.013933639853662935, 0.013933315803471288, 0.013933100720352377, 0.013932997837907447, 0.013933010223920846, 0.013933140768060124, 0.013933392168251313, 0.013933766915565108, 0.013934267277444706, 0.013934895279103696, 0.013935652682922829, 0.013936540965680352, 0.013937561293461107, 0.013938714494108469, 0.013940001027109747, 0.013941420950844004, 0.013942973887171735, 0.013944658983411471, 0.013946474871830752, 0.013948419626880834, 0.013950490720526464, 0.013952684976166687, 0.013954998521809354, 0.013957426743350348, 0.013959964239016949, 0.013962604776258589, 0.013965341252601498, 0.013968165662218189, 0.013971069070185757, 0.013974041596605372, 0.013977072412910603, 0.013980149752785791, 0.013983260940125737, 0.013986392436373393, 0.013989529909352266, 0.013992658325348699, 0.013995762065684023, 0.013998825068344477, 0.014001830994414781, 0.014004763418108246, 0.014007606038134172, 0.014010342907037817, 0.014012958674046028, 0.014015438835919878, 0.014017769989424327, 0.014019940078346029, 0.014021938627585589, 0.014023756956771405, 0.0140253883661197, 0.014026828287905451, 0.014028074397895088, 0.014029126682377827, 0.014029987457951559, 0.014030661342884531, 0.014031155180589673, 0.014031477917413248, 0.014031640438460105, 0.014031655366472894, 0.014031536829789745, 0.014031300206086686, 0.014030961848952554, 0.014030538804356254, 0.014030048523779886, 0.014029508580253697, 0.014028936392799316, 0.014028348963930161, 0.014027762633936436, 0.014027192854757127, 0.014026653985365107, 0.01402615910980509, 0.014025719878360248, 0.014025346371798121, 0.014025046988272312, 0.014024828352227854, 0.01402469524456776, 0.014024650553369326], [0.014022424326942458, 0.014022365258985149, 0.014022188196505768, 0.014021893563203363, 0.014021482063651574, 0.014020954680925117, 0.014020312673304692, 0.014019557570086905, 0.014018691166533891, 0.014017715518004273, 0.014016632933312815, 0.014015445967373235, 0.014014157413183721, 0.014012770293219654, 0.014011287850302853, 0.014009713538020593, 0.014008051010770925, 0.014006304113513602, 0.014004476871308805, 0.014002573478726963, 0.014000598289215335, 0.013998555804507032, 0.013996450664160585, 0.01399428763531697, 0.01399207160276324, 0.013989807559391641, 0.013987500597143928, 0.013985155898532333, 0.013982778728829443, 0.013980374429021902, 0.013977948409626177, 0.01397550614546807, 0.013973053171533776, 0.013970595080007206, 0.013968137518617222, 0.013965686190429516, 0.013963246855232515, 0.013960825332683306, 0.013958427507400761, 0.013956059336218778, 0.013953726857842887, 0.013951436205190331, 0.013949193620738033, 0.013947005475254834, 0.013944878290357047, 0.013942818765399736, 0.013940833809303754, 0.013938930578020637, 0.013937116518458375, 0.013935399419831703, 0.013933787473564661, 0.013932289343062541, 0.013930914244887961, 0.013929672043122624, 0.013928573358972013, 0.013927629697972942, 0.013926853597485491, 0.013926258797477276, 0.013925860437915067, 0.013925675286324726, 0.013925721999200008, 0.013926021420834517, 0.013926596922667404, 0.013927474785151644, 0.0139286846221542, 0.013930259844529551, 0.013932238154150952, 0.013934662051504907, 0.01393757932787929, 0.01394104349588496, 0.013945114088049257, 0.013949856721030204, 0.013955342781594755, 0.0139616485400856, 0.013968853440411547, 0.013977037259847889, 0.013986275791338675, 0.013996634699430488, 0.014008161273599919, 0.014020873994262288, 0.014034750182799335, 0.01404971255485905, 0.014065616213698014, 0.014082238397772508, 0.014099273910456796, 0.01411633928706124, 0.01413298806180641, 0.014148737806535283, 0.014163107089026962, 0.014175657746018899, 0.014186035805595574, 0.014194003902645563, 0.014199459496025968, 0.0142024362496382, 0.014203089580178191, 0.014201670422867159, 0.01419849288910237, 0.014193901487977181, 0.01418824233650509, 0.014181840954965007, 0.014174987460783687, 0.014167928631671812, 0.014160865535376618, 0.014153955154904802, 0.014147314519412976, 0.014141026118888265, 0.014135143707974184, 0.014129697911596633, 0.014124701294616265, 0.014120152740068163, 0.014116041101796092, 0.01411234817005259, 0.014109051026439841, 0.014106123879149349, 0.014103539469865206, 0.014101270136332059, 0.014099288603676999, 0.014097568565708395, 0.014096085106054477, 0.014094814998873615, 0.014093736920235127, 0.014092831594144218, 0.014092081891441198, 0.014091472895261935, 0.014090991943205386, 0.014090628653628649, 0.014090374941412126, 0.014090225026962363, 0.014090175441025185, 0.014090214998973182, 0.014090333974242322, 0.014090533274869487, 0.014090814426879773, 0.01409117959355888, 0.01409163160310112, 0.014092173985330247, 0.014092811018434924, 0.014093547786943173, 0.014094390252492253, 0.014095345339349022, 0.014096421037119129, 0.014097626523677576, 0.014098972312090617, 0.014100470426221397, 0.014102134610877573, 0.014103980583839661, 0.014106026339008799, 0.014108292512363438, 0.014110802825605161, 0.014113584626556852, 0.014116669550907842, 0.014120094337277433, 0.014123901837494752, 0.014128142277480438, 0.014132874842627924, 0.014138169687268576, 0.014144110503860987, 0.014150797838789798, 0.01415835341547101, 0.014166925833317533, 0.014176698171200937, 0.014187898265688963, 0.014200812805881239, 0.014215806969558546, 0.014233352260283383, 0.014254066741708036, 0.014278774460240246, 0.014308595363737889, 0.014345085156721336, 0.014390459751442437, 0.014447968731863624, 0.014522543458241872, 0.014621979022680139, 0.01475922194621563, 0.014957131858134536, 0.015259335544099667, 0.015758041696234636, 0.016677424195804137, 0.0186854688820349, 0.024516553693014115, 0.051661096813191663, 0.069129573394006452, 0.025989986320481051, 0.018154959787327288, 0.01593963358330432, 0.015058045781155105, 0.01463073931804868, 0.014395947175425371, 0.014255314989901595, 0.014165626571743997, 0.014105639555768702, 0.014063994363900321, 0.014034204150596329, 0.014012364669267663, 0.013996022735670454, 0.013983580650210775, 0.013973965841558557, 0.013966439340656979, 0.013960480466251354, 0.013955715090079973, 0.013951869720474073, 0.013948741363954761, 0.013946177296983449, 0.013944061216006975, 0.013942303583345056, 0.013940834788108498, 0.013939600229714126, 0.01393855673595094, 0.013937669921233882, 0.013936912216274135, 0.013936261383257018, 0.01393569938616771, 0.013935211523694731, 0.013934785758203385, 0.013934412192472236, 0.013934082658749181, 0.013933790393873428, 0.013933529780844113, 0.013933296142051788, 0.013933085572944655, 0.013932894807540072, 0.013932721109163488, 0.01393256218128364, 0.013932416094440013, 0.013932281226120375, 0.013932156211108208, 0.013932039900332897, 0.013931931326653439, 0.013931829676319321, 0.013931734265096732, 0.013931644518242772, 0.013931559953664364, 0.013931480167720896, 0.013931404823229137, 0.013931333639307196, 0.013931266382759088, 0.01393120286075313, 0.013931142914589629, 0.013931086414388127, 0.013931033254552565, 0.013930983349896181, 0.013930936632327163, 0.013930893048012052, 0.013930852554947087, 0.013930815120878693, 0.013930780721523709, 0.013930749339047421, 0.013930720960764385, 0.013930695578032093, 0.013930673185312686, 0.013930653779381475, 0.013930637358664903, 0.013930623922693366, 0.013930613471656727, 0.013930606006053158, 0.013930601526423461, 0.013930600033165338, 0.013930601526423463, 0.01393060600605316, 0.013930613471656734, 0.013930623922693368, 0.013930637358664909, 0.013930653779381477, 0.013930673185312695, 0.013930695578032093, 0.013930720960764378, 0.013930749339047427, 0.013930780721523709, 0.013930815120878704, 0.013930852554947089, 0.013930893048012049, 0.013930936632327154, 0.013930983349896179, 0.013931033254552567, 0.013931086414388132, 0.013931142914589623, 0.013931202860753129, 0.013931266382759096, 0.0139313336393072, 0.013931404823229137, 0.013931480167720891, 0.013931559953664361, 0.01393164451824278, 0.013931734265096727, 0.013931829676319318, 0.013931931326653444, 0.013932039900332887, 0.013932156211108215, 0.013932281226120377, 0.013932416094440016, 0.013932562181283629, 0.013932721109163491, 0.013932894807540076, 0.013933085572944657, 0.013933296142051788, 0.013933529780844113, 0.013933790393873427, 0.013934082658749184, 0.013934412192472245, 0.013934785758203385, 0.013935211523694731, 0.013935699386167713, 0.013936261383257023, 0.01393691221627413, 0.013937669921233882, 0.01393855673595094, 0.013939600229714121, 0.013940834788108496, 0.013942303583345063, 0.013944061216006973, 0.013946177296983451, 0.013948741363954763, 0.013951869720474084, 0.013955715090079968, 0.013960480466251353, 0.013966439340656982, 0.013973965841558555, 0.013983580650210771, 0.013996022735670454, 0.014012364669267661, 0.01403420415059632, 0.01406399436390033, 0.014105639555768698, 0.014165626571743958, 0.014255314989901589, 0.014395947175425215, 0.014630739318048789, 0.015058045781154879, 0.015939633583304798, 0.018154959787327299, 0.025989986320486373, 0.069129573393986635, 0.051661096813216852, 0.024516553693026966, 0.018685468882037846, 0.016677424195804608, 0.01575804169623516, 0.01525933554409962, 0.014957131858134664, 0.01475922194621569, 0.014621979022680216, 0.014522543458241907, 0.014447968731863613, 0.014390459751442453, 0.014345085156721341, 0.014308595363737903, 0.014278774460240264, 0.014254066741708038, 0.0142333522602834, 0.014215806969558547, 0.014200812805881253, 0.014187898265688972, 0.014176698171200946, 0.014166925833317547, 0.014158353415471019, 0.014150797838789808, 0.014144110503860987, 0.014138169687268581, 0.014132874842627924, 0.014128142277480441, 0.014123901837494757, 0.01412009433727744, 0.014116669550907847, 0.014113584626556848, 0.014110802825605159, 0.014108292512363434, 0.014106026339008796, 0.014103980583839659, 0.014102134610877573, 0.014100470426221395, 0.014098972312090608, 0.014097626523677584, 0.014096421037119123, 0.014095345339349023, 0.014094390252492256, 0.014093547786943177, 0.014092811018434927, 0.014092173985330239, 0.014091631603101118, 0.014091179593558881, 0.014090814426879773, 0.014090533274869484, 0.014090333974242317, 0.014090214998973184, 0.014090175441025194, 0.014090195214161017, 0.014090254614034599, 0.01409035388250481, 0.014090493424210643, 0.014090673808901487, 0.014090895774738285, 0.014091160232604993, 0.014091468271482159, 0.014091821164948178, 0.014092220378888271, 0.014092667580507371, 0.014093164648761073, 0.014093713686339321, 0.014094317033360023, 0.014094977282956256, 0.014095697298970438, 0.014096480236003626, 0.014097329562108095, 0.014098249084457675, 0.014099242978385254, 0.014100315820240045, 0.014101472624593058, 0.014102718886407243, 0.014104060628894546, 0.014105504457906943, 0.014107057623857992, 0.014108728092350796, 0.014110524624902971, 0.01411245687141992, 0.014114535476382089, 0.014116772201095593, 0.014119180064823681, 0.014121773508191356, 0.014124568582963478, 0.014127583173174045, 0.014130837253675524, 0.014134353193542131, 0.014138156113477063, 0.014142274308543425, 0.014146739750298029, 0.01415158868593756, 0.014156862356613066, 0.014162607862963554, 0.014168879213615915, 0.014175738602526014, 0.014183257974465284, 0.014191520955920607, 0.014200625252915334, 0.014210685650285722, 0.014221837792402325, 0.014234242988568402, 0.014248094375345615, 0.014263624894922031, 0.014281117731874217, 0.014300920119172719, 0.014323461823892171, 0.014349280227976539, 0.014379054852034853, 0.014413655637279981, 0.014454211660218838, 0.014502210842754552, 0.014559647802282827, 0.014629248468378618, 0.01471482080898257, 0.014821819835487866, 0.014958291045522995, 0.015136512772602402, 0.015375998564067678, 0.015709315242472037, 0.016194181510164385, 0.016940914637547832, 0.018181908718641532, 0.020474097056985836, 0.025405633769966851, 0.038589148463233261, 0.077808807791005519, 0.079181089292205367, 0.037323639155216713, 0.023787901292813864, 0.019049779585478779, 0.016971925712082236, 0.015904103111077147, 0.015291967476158661, 0.014912422798183118, 0.014662884292258265, 0.014491215539740348, 0.014368788036616592, 0.01427888608269927, 0.014211250814268385, 0.014159321043604201, 0.014118752496183556, 0.014086582563729045, 0.014060738810086203, 0.014039739036374118, 0.014022502362626522, 0.014008226886462071, 0.013996308488071334, 0.013986285752442273, 0.013977801868995283, 0.013970577806078122, 0.013964393119368958, 0.013959072020496791, 0.013954473128723804, 0.013950481839457626, 0.013947004577224909, 0.013943964422650116, 0.013941297752818627, 0.013938951637052607, 0.013936881801402068, 0.013935051025267303, 0.01393342786921694, 0.013931985658702326, 0.013930701666994049, 0.013929556454328864, 0.013928533330367043, 0.013927617914608639, 0.013926797775096787, 0.013926062130042598, 0.013925401600294384, 0.013924808003102418, 0.01392427417958656, 0.013923793849837329, 0.013923361490773778, 0.013922972232820647, 0.013922621772211301, 0.013922306296313844, 0.013922022419851797, 0.013921767130269937, 0.013921147307079986, 0.013920703405217822, 0.013920392617372043, 0.013920183226870143, 0.013920051267860481, 0.013919978256038731, 0.013919949623575562, 0.013919953625483324, 0.013919980566634281, 0.013920022250011191, 0.013920071579578298, 0.013920122272479388, 0.013920168649343459, 0.013920205480904939, 0.013920227875542944, 0.01392023119673862, 0.013920211002501895, 0.01392016300096051, 0.013920083017821223, 0.013919966972497781, 0.013919810860484411, 0.013919610740128839, 0.01391936272239056, 0.013919062962508883, 0.013918707652790685, 0.013918293015998021, 0.013917815299110918, 0.013917270767610812, 0.013916655700945833, 0.013915966390606068, 0.013915199143421392, 0.013914350294566958, 0.013913416237769514, 0.013912393485109762, 0.013911278776920182, 0.013910069275888328, 0.013908762902745545, 0.013907358911522644, 0.013905858874860087, 0.013904268382831137, 0.013902600010147139, 0.013900878598933315, 0.013899150908299348, 0.013897503828836257, 0.013896100214109601, 0.013895253110190603, 0.013895589886300994, 0.013898446695335723, 0.013906926049090169, 0.013929188389558696, 0.013991169762818534, 0.014206153342306153, 0.015536819186086175, 0.081819417373338116, 0.016648137013015173, 0.014751725497838828, 0.014351837251664661, 0.014197414694466354, 0.01411941423822477, 0.014073511236685652, 0.014043706082554874, 0.014022990732171689, 0.01400786610789365, 0.013996411319926034, 0.013987493197109837, 0.013980404445242971, 0.013974683062109514, 0.013970015769954712, 0.013966183373166701, 0.013963028345583581, 0.013960434819400897, 0.013958315798861849, 0.013956604742948171, 0.013955249877487407, 0.013954210261921295, 0.013953453013128539, 0.013952951309769519, 0.013952682934040271, 0.013952629190374955, 0.013952774093057322, 0.013953103748667633, 0.013953605881731395, 0.013954269467027783, 0.013955084442332875, 0.013956041482532896, 0.013957131821082091, 0.013958347108373322, 0.013959679299181856, 0.013961120563236139, 0.013962663214364445, 0.013964299654706434, 0.013966022331259849, 0.013967823702624517, 0.013969696214258243, 0.013971632280906287, 0.013973624275134856, 0.01397566452110733, 0.01397774529290427, 0.013979858816814411, 0.01398199727712259, 0.013984152824996574, 0.013986317590133523, 0.013988483694871618, 0.013990643270505808, 0.013992788475570417, 0.013994911515869016, 0.013997004666042173, 0.013999060292470372, 0.014001070877311944, 0.014003029043475607, 0.014004927580324665, 0.014006759469907063, 0.014008517913500766, 0.01401019635825989, 0.01401178852374315, 0.014013288428103437, 0.01401469041371553, 0.014015989172019702, 0.014017179767360126, 0.014018257659602773, 0.014019218725323392, 0.014020059277366142, 0.014020776082585664, 0.014021366377599516, 0.014021827882396155, 0.014022158811661944, 0.014022357883713159, 0.014022424326942458, 0.014022380027655362, 0.014022247256003888, 0.014022026390218281, 0.014021718059354605, 0.014021323141312212, 0.014020842760076559, 0.014020278282205022, 0.014019631312578646, 0.014018903689447096, 0.014018097478798128, 0.014017214968087239, 0.014016258659366407, 0.01401523126185397, 0.01401413568399054, 0.014012975025027829, 0.014011752566199681, 0.014010471761524755, 0.014009136228292503, 0.014007749737283325, 0.014006316202774219, 0.014004839672380559, 0.014003324316783375, 0.0140017744193906, 0.014000194365978137, 0.013998588634355019, 0.013996961784094191, 0.013995318446367384, 0.013993663313919515, 0.013992001131214736, 0.013990336684782343, 0.013988674793787117, 0.013987020300844605, 0.013985378063097261, 0.013983752943563825, 0.013982149802768991, 0.013980573490656132, 0.01397902883878153, 0.013977520652783052, 0.013976053705111667, 0.013974632728009202, 0.013973262406710133, 0.013971947372840335, 0.013970692197979709, 0.013969501387350133, 0.013968379373584243, 0.013967330510523982, 0.013966359066991793, 0.013965469220470136, 0.013964665050618023, 0.013963950532545783, 0.013963329529761251, 0.013962805786692669, 0.013962382920684796, 0.013962064413356415, 0.013961853601198143, 0.013961753665281192, 0.013961767619938835, 0.013961898300274375, 0.013962148348342711, 0.013962520197846348, 0.013963016057183425, 0.013963637890684392, 0.013964387397876359, 0.013965265990621967, 0.013966274767992637, 0.013967414488757371, 0.013968685541397676, 0.013970087911600319, 0.013971621147233111, 0.013973284320877181, 0.013975075990074352, 0.013976994155551682, 0.013979036217808835, 0.013981198932598049, 0.013983478365991592, 0.013985869849916231, 0.01398836793923596, 0.013990966371678581, 0.013993658032121888, 0.013996434922971973, 0.013999288142568522, 0.014002207873723738, 0.014005183384628254, 0.014008203044417643, 0.014011254355669028, 0.014014324005968444, 0.01401739794043722, 0.014020461456717682, 0.014023499323384755, 0.014026495922071695, 0.014029435412785068, 0.014032301920957989, 0.014035079743785418, 0.014037753572347185, 0.014040308725009427, 0.014042731386666656, 0.014045008847610518, 0.014047129735252815, 0.014049084231641943, 0.014050864269738035, 0.014052463701773288, 0.014053878433719268, 0.01405510652088956, 0.014056148220974281, 0.014057006002265209, 0.014057684506403659, 0.014058190466575866, 0.014058532583602283, 0.014058721363731807, 0.014058768923091139, 0.014058688764599739, 0.014058495533714594, 0.014058204759607673, 0.014057832588318447, 0.014057395514096589, 0.014056910114602049, 0.01405639279491825, 0.014055859544516989, 0.014055325710450572, 0.01405480578919068, 0.014054313238731363, 0.014053860311860504, 0.014053457910908517, 0.014053115463817326, 0.014052840821047, 0.01405264017264489, 0.014052517984736262, 0.014052476954738819], [0.014032895837668157, 0.014032837500817892, 0.014032662629835484, 0.014032371642953267, 0.01403196523565298, 0.014031444378321066, 0.014030810312993598, 0.014030064549217259, 0.014029208859060602, 0.014028245271316943, 0.014027176064945614, 0.014026003761805688, 0.014024731118740934, 0.014023361119080001, 0.014021896963620347, 0.014020342061168475, 0.014018700018712194, 0.014016974631303365, 0.014015169871732531, 0.014013289880077724, 0.014011338953212313, 0.01400932153435658, 0.014007242202760079, 0.014005105663600838, 0.014002916738189325, 0.014000680354565117, 0.013998401538574779, 0.013996085405521158, 0.013993737152475143, 0.013991362051343357, 0.01398896544278847, 0.013986552731102062, 0.013984129380136006, 0.013981700910404779, 0.013979272897479692, 0.013976850971806926, 0.013974440820094899, 0.013972048188432845, 0.013969678887322378, 0.013967338798828726, 0.013965033886086976, 0.01396277020543399, 0.013960553921478523, 0.013958391325471336, 0.013956288857396217, 0.013954253132271801, 0.013952290971235765, 0.013950409438078591, 0.01394861588200539, 0.013946917987534058, 0.013945323832587673, 0.013943841956010332, 0.013942481435930326, 0.013941251980612395, 0.013940164033679963, 0.013939228895844532, 0.013938458865543171, 0.013937867401138558, 0.013937469307552882, 0.013937280950341116, 0.013937320500193182, 0.01393760821058552, 0.013938166730629104, 0.013939021453865549, 0.01394020090153681, 0.013941737135270395, 0.013943666188604587, 0.013946028498571759, 0.013948869306716568, 0.01395223898233065, 0.013956193198139885, 0.01396079285913311, 0.013966103648204758, 0.013972195008675499, 0.013979138336973555, 0.013987004116442114, 0.013995857699280415, 0.01400575346006044, 0.014016727131805915, 0.014028786330868024, 0.014041899613257769, 0.014055984895406892, 0.014070898682232259, 0.014086428165268445, 0.014102288684258137, 0.014118129021798351, 0.014133546273848226, 0.014148110513215226, 0.014161397333404485, 0.01417302415903561, 0.014182684679107334, 0.014190175555903229, 0.014195410918891295, 0.014198422713608773, 0.014199347921219773, 0.014198406077582125, 0.014195871775680978, 0.014192046801760512, 0.014187235541904665, 0.014181725822692545, 0.014175775906689687, 0.014169607263057851, 0.014163402082902527, 0.014157304264005412, 0.014151422632425189, 0.014145835371039282, 0.014140594884870973, 0.014135732583936675, 0.014131263272978712, 0.014127188993539942, 0.014123502270488317, 0.014120188781418403, 0.01411722950382624, 0.014114602411035048, 0.014112283791055219, 0.014110249258359584, 0.014108474520654283, 0.014106935953480058, 0.014105611026274181, 0.014104478615096288, 0.014103519229894775, 0.014102715178042543, 0.014102050680843423, 0.014101511955681156, 0.014101087273302754, 0.014100766997250869, 0.014100543610547769, 0.014100411733264968, 0.014100368133483221, 0.014100405356822126, 0.014100517306872336, 0.014100704827108131, 0.014100969334646442, 0.014101312837522318, 0.014101737959456847, 0.01410224797272577, 0.014102846839949232, 0.014103539265867642, 0.014104330760454651, 0.014105227715060452, 0.014106237493692029, 0.014107368542042757, 0.014108630517509439, 0.014110034444213651, 0.014111592898024654, 0.014113320227820379, 0.014115232820805767, 0.014117349421739703, 0.014119691518553468, 0.014122283810275287, 0.014125154777687851, 0.014128337383127286, 0.014131869933830513, 0.014135797154032508, 0.01414017152572567, 0.014145054978249319, 0.014150521035079647, 0.014156657565922777, 0.014163570348907417, 0.014171387729678882, 0.01418026678458169, 0.014190401574684923, 0.014202034349941901, 0.014215470984317328, 0.014231102588382043, 0.014249436321288392, 0.01427114020574618, 0.014297109785350166, 0.014328569800571673, 0.014367233779291385, 0.014415562862070914, 0.014477201746901987, 0.014557746161975412, 0.014666166717368943, 0.014817622818964465, 0.015039473153774657, 0.015385436306002779, 0.015973498451050252, 0.01710664166605063, 0.019766438191080031, 0.028554648682079884, 0.072921633610727718, 0.047411678944474255, 0.022139111467253315, 0.017161870865578625, 0.01556619446891312, 0.014884853939617504, 0.014540026895102722, 0.014345033617999643, 0.014225856491280229, 0.01414872086342535, 0.014096555481789244, 0.014060033813564731, 0.014033739246856341, 0.014014366945122227, 0.013999816996610275, 0.013988708989830526, 0.013980108939388178, 0.013973369069433415, 0.01396803035833157, 0.013963761374521473, 0.013960318822554475, 0.013957521470013751, 0.013955232542435889, 0.013953347604914589, 0.013951786074653765, 0.013950485182666532, 0.013949395616292439, 0.013948478333554899, 0.013947702206362241, 0.013947042257753612, 0.013946478330122363, 0.013945994069648686, 0.013945576145166181, 0.013945213642524748, 0.013944897591518535, 0.013944620593794419, 0.013944376528288834, 0.01394416031662672, 0.013943967735217409, 0.013943795263953916, 0.013943639963778827, 0.013943499377146942, 0.013943371446747755, 0.013943254448865015, 0.01394314693852566, 0.013943047704188777, 0.013942955730187027, 0.013942870165494526, 0.013942790297677123, 0.013942715531103853, 0.013942645368674263, 0.013942579396456182, 0.01394251727074078, 0.013942458707110892, 0.013942403471191165, 0.013942351370807019, 0.01394230224932665, 0.013942255979999034, 0.013942212461132652, 0.013942171611985198, 0.01394213336925623, 0.013942097684092285, 0.013942064519528317, 0.013942033848301855, 0.013942005650986196, 0.013941979914397305, 0.013941956630236703, 0.013941935793937994, 0.013941917403690414, 0.013941901459616548, 0.013941887963085708, 0.013941876916147134, 0.013941868321070302, 0.013941862179982022, 0.013941858494592254, 0.013941857266002458, 0.013941858494592257, 0.013941862179982029, 0.013941868321070302, 0.013941876916147136, 0.013941887963085715, 0.013941901459616553, 0.013941917403690421, 0.013941935793937994, 0.013941956630236695, 0.013941979914397306, 0.013942005650986196, 0.013942033848301869, 0.013942064519528317, 0.013942097684092287, 0.013942133369256229, 0.013942171611985195, 0.013942212461132659, 0.013942255979999037, 0.013942302249326639, 0.013942351370807019, 0.01394240347119117, 0.013942458707110897, 0.013942517270740782, 0.013942579396456179, 0.013942645368674263, 0.013942715531103858, 0.013942790297677123, 0.013942870165494524, 0.013942955730187031, 0.01394304770418877, 0.013943146938525662, 0.013943254448865015, 0.013943371446747762, 0.013943499377146933, 0.013943639963778839, 0.013943795263953923, 0.013943967735217411, 0.013944160316626725, 0.013944376528288838, 0.013944620593794413, 0.013944897591518537, 0.013945213642524757, 0.013945576145166175, 0.013945994069648684, 0.013946478330122372, 0.01394704225775362, 0.013947702206362239, 0.013948478333554899, 0.013949395616292437, 0.013950485182666526, 0.01395178607465376, 0.013953347604914585, 0.013955232542435886, 0.013957521470013756, 0.013960318822554474, 0.013963761374521481, 0.013968030358331569, 0.013973369069433412, 0.013980108939388183, 0.01398870898983052, 0.013999816996610265, 0.014014366945122231, 0.014033739246856337, 0.014060033813564727, 0.014096555481789248, 0.014148720863425349, 0.014225856491280192, 0.014345033617999634, 0.014540026895102502, 0.014884853939617654, 0.015566194468912739, 0.017161870865579458, 0.022139111467252955, 0.047411678944494218, 0.072921633610745717, 0.028554648682087538, 0.019766438191085128, 0.01710664166605215, 0.015973498451050526, 0.015385436306003154, 0.015039473153774638, 0.014817622818964558, 0.014666166717368987, 0.014557746161975468, 0.014477201746902013, 0.014415562862070911, 0.014367233779291399, 0.014328569800571674, 0.014297109785350183, 0.014271140205746193, 0.014249436321288392, 0.014231102588382054, 0.014215470984317332, 0.014202034349941918, 0.014190401574684926, 0.0141802667845817, 0.014171387729678894, 0.014163570348907421, 0.014156657565922787, 0.014150521035079645, 0.014145054978249326, 0.014140171525725668, 0.014135797154032516, 0.014131869933830515, 0.01412833738312729, 0.014125154777687849, 0.014122283810275282, 0.014119691518553469, 0.014117349421739698, 0.014115232820805764, 0.014113320227820378, 0.014111592898024659, 0.014110034444213652, 0.01410863051750943, 0.014107368542042765, 0.014106237493692018, 0.014105227715060453, 0.014104330760454649, 0.014103539265867646, 0.014102846839949234, 0.01410224797272577, 0.014101737959456849, 0.014101312837522317, 0.014100969334646437, 0.014100704827108129, 0.014100517306872336, 0.014100405356822122, 0.01410036813348323, 0.014100386739749751, 0.014100442633561817, 0.014100536040369621, 0.014100667337303922, 0.01410083705526336, 0.014101045881870491, 0.014101294665330992, 0.014101584419241248, 0.014101916328401423, 0.014102291755703699, 0.014102712250179309, 0.014103179556303552, 0.014103695624675422, 0.014104262624208143, 0.014104882955989074, 0.014105559268993303, 0.014106294477864323, 0.014107091783009444, 0.014107954693296608, 0.014108887051685491, 0.014109893064178924, 0.014110977332544267, 0.014112144891327467, 0.014113401249771012, 0.014114752439349926, 0.014116205067763817, 0.014117766380370272, 0.014119444330221107, 0.014121247658075717, 0.014123185984021442, 0.01412526991264176, 0.014127511154050214, 0.014129922663569714, 0.014132518803402274, 0.014135315530331385, 0.014138330614362831, 0.014141583894282569, 0.01414509757745324, 0.014148896592857434, 0.014153009008528455, 0.014157466527219538, 0.014162305077629176, 0.014167565522963063, 0.014173294514395626, 0.014179545524542939, 0.014186380105984352, 0.014193869433028252, 0.014202096202505718, 0.014211156993098608, 0.014221165215009794, 0.014232254826213412, 0.014244585053298278, 0.014258346441809127, 0.014273768684731881, 0.014291130856351022, 0.014310774940160668, 0.014333123928277767, 0.0143587063576954, 0.014388190054149187, 0.014422429277069453, 0.014462531744189405, 0.014509955774565396, 0.014566654144379219, 0.014635292318126179, 0.014719588649366408, 0.014824861420716434, 0.014958940369157269, 0.015133749627984687, 0.015368193315737721, 0.015693728565791827, 0.016165907984834894, 0.016890436060305717, 0.018088726439514657, 0.020287494545905064, 0.024974772212684758, 0.037370520242006426, 0.075044442061534919, 0.08236054925216732, 0.038520902706803715, 0.024125700787716847, 0.019172287465100732, 0.017026390454049248, 0.015932629135446526, 0.015309283869782628, 0.014924491690370181, 0.014672386295251215, 0.014499451273065123, 0.014376424111742819, 0.014286277254741292, 0.01421859007689945, 0.01416671395672775, 0.014126255860665234, 0.014094225374148978, 0.014068533985938396, 0.014047690166616025, 0.014030607664634407, 0.01401648156571849, 0.014004706158360946, 0.013994819293581918, 0.013986463942662329, 0.013979361161405555, 0.013973290768277672, 0.013968077332047742, 0.01396357987322366, 0.01395968420166184, 0.013956297150891393, 0.013953342194230218, 0.013950756079232416, 0.013948486220673887, 0.01394648866420564, 0.01394472648333195, 0.013943168508286885, 0.013941788311192959, 0.013940563390625273, 0.013939474512441116, 0.013938505173896165, 0.013937641165648704, 0.013936870211954337, 0.013936181673673017, 0.013935566302007783, 0.01393501603342784, 0.013934523818188159, 0.013934083476382995, 0.013933689576663901, 0.013933337333692824, 0.013933022521143812, 0.013932741397658835, 0.013932490643635135, 0.013931892644410524, 0.013931478955381871, 0.013931203186054883, 0.013931031261305654, 0.013930937658981943, 0.013930902870960124, 0.013930911662980851, 0.013930951865578464, 0.013931013523953779, 0.013931088294046611, 0.013931169009737242, 0.013931249370427367, 0.013931323714210249, 0.01393138685246862, 0.013931433948914924, 0.013931460430993635, 0.013931461924956685, 0.013931434208292079, 0.01393137317485729, 0.013931274809259394, 0.013931135167881067, 0.013930950364577943, 0.013930716559540743, 0.013930429950180515, 0.013930086763201059, 0.01392968324730947, 0.01392921566632741, 0.013928680292854942, 0.013928073403180861, 0.01392739127494017, 0.013926630190268395, 0.013925786449182265, 0.013924856401106155, 0.013923836507679598, 0.013922723458633704, 0.013921514377111191, 0.013920207175845054, 0.013918801169495541, 0.013917298127198319, 0.013915704094588508, 0.013914032590790599, 0.013912310330499321, 0.013910587740741101, 0.013908958957418987, 0.013907601506307972, 0.013906859380604937, 0.013907429157483386, 0.013910814821589056, 0.01392057434498984, 0.013946320354097524, 0.014019910007005917, 0.014291461502231104, 0.016311359877256876, 0.053467932556784052, 0.016000489618982549, 0.014655308153960935, 0.014325885756559794, 0.014191039036079999, 0.014120759931527883, 0.014078583352535461, 0.014050829104608949, 0.014031351533790756, 0.014017026522603412, 0.014006115815482898, 0.01399758322238987, 0.013990776569446934, 0.013985266951105971, 0.01398076188309084, 0.013977055739606538, 0.013974000141321434, 0.013971485560331962, 0.013969429503511982, 0.013967768697098192, 0.013966453783696998, 0.013965445641752445, 0.013964712779210057, 0.013964229454436716, 0.013963974299518896, 0.013963929296991362, 0.013964079009387748, 0.013964409992432357, 0.013964910343520855, 0.013965569351185465, 0.013966377220869349, 0.013967324859034099, 0.013968403702349684, 0.01396960558209326, 0.013970922616324372, 0.01397234712418979, 0.013973871558030173, 0.013975488449944885, 0.013977190370212157, 0.01397896989552375, 0.01398081958542334, 0.013982731965668399, 0.013984699517491306, 0.013986714671934162, 0.013988769808586781, 0.013990857258177836, 0.013992969308563367, 0.0139950982137297, 0.013997236205483795, 0.013999375507546725, 0.014001508351798097, 0.014003626996441268, 0.014005723745876397, 0.014007790972077504, 0.014009821137275972, 0.014011806817754741, 0.014013740728557371, 0.014015615748912733, 0.01401742494817346, 0.014019161612061298, 0.01402081926900809, 0.0140223917163776, 0.014023873046350081, 0.014025257671249881, 0.014026540348096903, 0.014027716202163807, 0.014028780749326519, 0.014029729917001261, 0.014030560063471333, 0.014031267995418586, 0.014031850983488914, 0.014032306775738577, 0.014032633608826678, 0.014032830216841055, 0.014032895837668157, 0.014032852086697276, 0.014032720958457619, 0.01403250282657407, 0.014032198312444158, 0.014031808283281093, 0.014031333849392076, 0.014030776360709356, 0.014030137402596805, 0.014029418790958693, 0.014028622566681853, 0.014027750989446275, 0.014026806530942577, 0.014025791867537982, 0.014024709872434911, 0.014023563607368712, 0.014022356313892974, 0.014021091404301304, 0.014019772452236557, 0.014018403183037651, 0.014016987463874583, 0.014015529293721588, 0.014014032793217121, 0.01401250219445835, 0.014010941830775342, 0.014009356126528554, 0.01400774958697034, 0.014006126788208407, 0.014004492367305901, 0.014002851012549571, 0.01400120745391365, 0.013999566453743357, 0.01399793279767785, 0.013996311285828143, 0.013994706724221437, 0.013993123916518711, 0.013991567656007483, 0.013990042717867735, 0.013988553851703367, 0.013987105774327038, 0.013985703162781127, 0.013984350647572233, 0.013983052806091413, 0.013981814156186644, 0.01398063914984842, 0.013979532166963413, 0.013978497509084817, 0.013977539393161617, 0.013976661945162283, 0.01397586919352127, 0.01397516506232931, 0.013974553364180867, 0.013974037792584142, 0.013973621913830728, 0.013973309158213961, 0.013973102810476114, 0.013973005999357076, 0.013973021686108568, 0.013973152651831237, 0.013973401483485869, 0.01397377055842498, 0.013974262027289215, 0.01397487779511343, 0.013975619500491546, 0.013976488492659103, 0.013977485806367766, 0.013978612134449432, 0.013979867797999875, 0.013981252714155514, 0.01398276636149281, 0.013984407743150814, 0.013986175347864185, 0.013988067109199491, 0.013990080363411142, 0.013992211806477245, 0.013994457451038375, 0.013996812584142341, 0.013999271726893029, 0.014001828597305714, 0.014004476077878044, 0.014007206189585781, 0.014010010074193497, 0.014012877986918212, 0.014015799301582069, 0.014018762530420927, 0.014021755360659707, 0.014024764709806129, 0.014027776801334508, 0.014030777262021378, 0.014033751241647876, 0.01403668355510428, 0.014039558846132153, 0.014042361771043999, 0.014045077199803375, 0.01404769043087754, 0.014050187415343321, 0.01405255498489601, 0.014054781077741049, 0.014056854955898078, 0.014058767407261624, 0.014060510925878532, 0.014062079864331818, 0.014063470552857216, 0.014064681380833251, 0.01406571283752771, 0.014066567510384924, 0.014067250040619921, 0.014067767037361886, 0.014068126952977229, 0.014068339923426352, 0.014068417578507877, 0.014068372827575884, 0.014068219626759724, 0.014067972733868558, 0.014067647457044372, 0.014067259402869535, 0.014066824229085267, 0.01406635740638649, 0.01406587399298323, 0.01406538842481036, 0.014064914323475843, 0.014064464323302561, 0.014064049918171732, 0.014063681328340452, 0.014063367386992584, 0.014063115445997776, 0.014062931300192169, 0.014062819129447852, 0.014062781457851718], [0.014028554393797365, 0.014028496793876091, 0.01402832413184639, 0.014028036820443651, 0.014027635546007482, 0.014027121266166048, 0.014026495206621376, 0.014025758857061752, 0.014024913966235182, 0.014023962536224711, 0.014022906815972021, 0.014021749294102692, 0.01402049269111141, 0.014019139950970403, 0.01401769423222895, 0.014016158898675697, 0.014014537509638776, 0.014012833810001344, 0.014011051720012987, 0.014009195324978524, 0.014007268864908023, 0.014005276724211858, 0.014003223421526746, 0.014001113599758013, 0.013998952016424728, 0.013996743534394764, 0.013994493113096969, 0.013992205800299629, 0.013989886724544815, 0.013987541088330774, 0.013985174162137581, 0.013982791279394129, 0.013980397832490703, 0.013977999269947155, 0.013975601094855379, 0.013973208864724735, 0.013970828192872653, 0.013968464751517926, 0.013966124276753516, 0.013963812575599255, 0.013961535535362356, 0.013959299135567163, 0.013957109462755239, 0.013954972728503575, 0.013952895291064442, 0.013950883681095049, 0.013948944632021823, 0.013947085115672539, 0.013945312383913054, 0.013943634017144007, 0.013942057980649387, 0.013940592689943137, 0.013939247086433518, 0.013938030724915796, 0.013936953874609442, 0.013936027635670003, 0.013935264073316659, 0.013934676371904705, 0.013934279011407825, 0.013934087968811097, 0.013934120946780582, 0.013934397631567334, 0.013934939981270258, 0.013935772544113455, 0.013936922803992032, 0.013938421546806173, 0.013940303235504145, 0.013942606373613968, 0.013945373825534247, 0.013948653046044741, 0.013952496150457482, 0.013956959729876119, 0.013962104283163393, 0.013967993099837445, 0.013974690390113601, 0.013982258427478116, 0.013990753458836769, 0.01400022016746591, 0.014010684571210331, 0.014022145432076461, 0.014034564567039354, 0.014047856885179674, 0.014061881491458225, 0.01407643568685764, 0.014091253983265601, 0.014106014123350386, 0.01412035136857763, 0.01413388095441386, 0.014146226815990001, 0.014157052923920593, 0.014166092437057144, 0.014173169866110422, 0.014178212679985302, 0.014181250943048626, 0.014182405974305349, 0.01418187094815063, 0.01417988733689253, 0.014176721043212055, 0.014172641238861056, 0.014167903726937731, 0.014162739466176426, 0.01415734798608646, 0.014151894871222905, 0.014146512271245044, 0.014141301410138592, 0.014136336221706921, 0.014131667445931927, 0.014127326726798393, 0.014123330427345418, 0.014119683011674383, 0.014116379937438046, 0.014113410062477662, 0.014110757603899278, 0.014108403704628084, 0.014106327667599582, 0.014104507915904722, 0.014102922731652284, 0.014101550819168711, 0.014100371730718727, 0.014099366185926573, 0.014098516309861017, 0.014097805809443951, 0.014097220103442634, 0.014096746417734549, 0.014096373854682369, 0.014096093443209078, 0.014095898174409802, 0.014095783026173564, 0.014095744979227142, 0.014095780020156946, 0.014095885403597885, 0.014096061914537087, 0.014096310871465725, 0.014096634141898337, 0.01409703416461008, 0.014097513979124093, 0.014098077263166179, 0.014098728379015796, 0.014099472429930295, 0.014100315328113891, 0.014101263876057717, 0.014102325863509972, 0.014103510182867974, 0.01410482696644446, 0.014106287749888676, 0.014107905667084879, 0.014109695683176198, 0.014111674874054887, 0.014113862762842365, 0.014116281726713784, 0.01411895749112394, 0.014121919733372292, 0.014125202823931045, 0.014128846742658904, 0.014132898218797279, 0.01413741215974083, 0.014142453455811542, 0.014148099279336628, 0.014154442040273539, 0.014161593223584248, 0.014169688425038393, 0.014178894037060094, 0.014189416238564409, 0.014201513251574063, 0.014215512308106809, 0.01423183353515314, 0.014251024209794669, 0.014273808915410255, 0.014301164705607038, 0.014334436735884925, 0.014375521533810916, 0.014427167584986803, 0.01449348829376124, 0.014580879135066881, 0.01469975111978224, 0.014868035347045403, 0.015118884706111233, 0.015519496867982794, 0.016224041955323981, 0.017654336822270876, 0.021319803922613251, 0.03550169547669263, 0.088626222668639218, 0.033858831461159318, 0.019721288408645361, 0.016435346248941777, 0.015262804338693621, 0.014730483342547996, 0.014450459158055099, 0.014287906034370045, 0.014186682057208038, 0.014120256922694557, 0.014074865178677197, 0.014042832230939186, 0.014019628382045991, 0.014002453500623308, 0.013989509044754243, 0.0139796019950827, 0.013971918983946679, 0.013965892224441083, 0.013961117139338416, 0.013957300213350217, 0.013954225098769505, 0.013951730066103115, 0.013949692687777146, 0.013948019239450262, 0.013946637241847719, 0.013945490132238603, 0.013944533404497835, 0.013943731777507743, 0.013943057093786248, 0.013942486743368262, 0.013942002470010839, 0.013941589458755323, 0.01394123563265909, 0.01394093110650692, 0.013940667759375001, 0.013940438897923065, 0.013940238989479473, 0.013940063449202122, 0.013939908469421848, 0.013939770882099675, 0.013939648047435051, 0.013939537763242455, 0.013939438190909531, 0.013939347794660353, 0.013939265291545603, 0.01393918961011963, 0.013939119856182427, 0.013939055284290191, 0.0139389952739943, 0.013938939309969851, 0.013938886965354435, 0.013938837887745853, 0.013938791787408001, 0.01393874842731658, 0.013938707614741835, 0.013938669194118711, 0.013938633040998176, 0.013938599056908727, 0.013938567164985968, 0.013938537306251698, 0.01393850943644386, 0.013938483523314279, 0.013938459544325122, 0.013938437484685607, 0.01393841733568015, 0.013938399093246881, 0.013938382756771835, 0.013938368328070033, 0.013938355810528914, 0.013938345208394222, 0.013938336526181341, 0.013938329768198485, 0.013938324938170743, 0.013938322038956244, 0.013938321072347902, 0.013938322038956247, 0.013938324938170743, 0.01393832976819848, 0.013938336526181341, 0.013938345208394227, 0.013938355810528923, 0.013938368328070036, 0.013938382756771835, 0.013938399093246876, 0.013938417335680157, 0.013938437484685613, 0.013938459544325132, 0.013938483523314277, 0.013938509436443857, 0.0139385373062517, 0.013938567164985965, 0.013938599056908736, 0.013938633040998176, 0.013938669194118705, 0.013938707614741834, 0.013938748427316589, 0.013938791787408006, 0.013938837887745855, 0.013938886965354429, 0.013938939309969849, 0.013938995273994311, 0.013939055284290182, 0.013939119856182418, 0.013939189610119638, 0.013939265291545591, 0.013939347794660354, 0.013939438190909535, 0.013939537763242454, 0.01393964804743505, 0.013939770882099686, 0.013939908469421853, 0.013940063449202124, 0.013940238989479473, 0.013940438897923067, 0.013940667759375002, 0.013940931106506925, 0.013941235632659093, 0.013941589458755317, 0.013942002470010838, 0.013942486743368265, 0.013943057093786248, 0.01394373177750774, 0.013944533404497837, 0.013945490132238602, 0.013946637241847717, 0.013948019239450261, 0.013949692687777149, 0.013951730066103122, 0.013954225098769509, 0.013957300213350218, 0.013961117139338428, 0.013965892224441076, 0.013971918983946677, 0.013979601995082705, 0.013989509044754239, 0.0140024535006233, 0.014019628382045997, 0.014042832230939183, 0.014074865178677195, 0.014120256922694566, 0.014186682057208045, 0.014287906034369994, 0.014450459158055077, 0.014730483342547651, 0.015262804338693857, 0.016435346248941086, 0.01972128840864678, 0.033858831461157979, 0.088626222668637608, 0.035501695476700686, 0.021319803922615881, 0.017654336822273388, 0.016224041955324876, 0.015519496867982943, 0.015118884706111479, 0.014868035347045378, 0.014699751119782308, 0.014580879135066923, 0.014493488293761287, 0.014427167584986821, 0.014375521533810909, 0.014334436735884935, 0.014301164705607041, 0.014273808915410271, 0.014251024209794676, 0.014231833535153142, 0.014215512308106817, 0.014201513251574066, 0.014189416238564418, 0.014178894037060097, 0.0141696884250384, 0.014161593223584261, 0.014154442040273543, 0.01414809927933664, 0.014142453455811542, 0.014137412159740832, 0.01413289821879728, 0.014128846742658905, 0.014125202823931043, 0.014121919733372297, 0.014118957491123943, 0.014116281726713779, 0.014113862762842367, 0.014111674874054875, 0.014109695683176193, 0.014107905667084879, 0.014106287749888678, 0.014104826966444458, 0.01410351018286797, 0.014102325863509978, 0.01410126387605771, 0.014100315328113889, 0.014099472429930295, 0.014098728379015798, 0.014098077263166184, 0.01409751397912409, 0.014097034164610075, 0.014096634141898337, 0.014096310871465725, 0.014096061914537081, 0.01409588540359788, 0.014095780020156944, 0.014095744979227149, 0.01409576249468303, 0.014095815111116182, 0.014095903039093589, 0.014096026630799523, 0.014096186381909048, 0.014096382934240512, 0.014096617079217258, 0.014096889762178044, 0.014097202087586058, 0.014097555325197499, 0.014097950917262569, 0.014098390486845363, 0.014098875847364072, 0.014099409013470014, 0.014099992213402747, 0.014100627902981019, 0.014101318781413835, 0.014102067809145183, 0.014102878227979145, 0.014103753583771127, 0.014104697752015824, 0.014105714966716029, 0.014106809852977718, 0.014107987463850715, 0.014109253322020104, 0.014110613467056242, 0.014112074509053272, 0.01411364368963108, 0.01411532895145054, 0.014117139017600911, 0.014119083482471689, 0.01412117291602715, 0.014123418983774862, 0.014125834585174217, 0.014128434013789271, 0.014131233143177917, 0.014134249643359995, 0.014137503233765548, 0.014141015979886803, 0.014144812642519735, 0.014148921090580475, 0.014153372791150752, 0.014158203393818063, 0.014163453430766493, 0.014169169159761789, 0.014175403584594182, 0.014182217697296962, 0.014189681999382763, 0.014197878376607994, 0.014206902425056183, 0.014216866358013695, 0.014227902666667656, 0.014240168768182642, 0.014253852959797132, 0.014269182118671985, 0.014286431761862759, 0.014305939336282684, 0.014328121988136516, 0.01435350063486911, 0.014382733045247379, 0.014416660018601484, 0.014456370977071501, 0.014503298938104378, 0.014559361001576334, 0.014627171210512531, 0.014710371926294034, 0.014814165855156849, 0.014946200998583103, 0.015118104336342841, 0.015348271031292922, 0.015667236322419079, 0.016128764308298977, 0.016834778561624859, 0.017997772204475158, 0.020120178250740212, 0.024610584975983354, 0.036378889047768953, 0.072675138400724759, 0.085021658453379959, 0.0395714602323715, 0.024401743165267414, 0.019259974070291449, 0.017056261956955285, 0.015941074974957111, 0.015308755095571863, 0.014919923071187557, 0.014665948232615314, 0.014492171067352786, 0.014368812837695628, 0.014278596713845721, 0.014210975428528231, 0.014159233551625971, 0.014118941877450532, 0.014087090122141911, 0.014061578847180844, 0.014040910613919846, 0.014023996122036931, 0.014010029052109223, 0.013998403230790386, 0.013988656581265446, 0.013980432439265894, 0.013973452373890829, 0.013967496780790579, 0.013962390820042966, 0.013957994089159445, 0.013954192945239299, 0.013950894731712161, 0.013948023391609384, 0.013945516101961521, 0.013943320668325826, 0.013941393490828017, 0.013939697963917922, 0.013938203208135195, 0.013936883058105804, 0.013935715249800702, 0.0139346807638698, 0.013933763292052835, 0.013932948801266202, 0.013932225175675023, 0.013931581921385175, 0.013931009921689597, 0.013930501233337389, 0.01393004891625408, 0.013929646890665125, 0.013929289816767715, 0.013928972993033743, 0.013928692269969732, 0.01392844397674897, 0.0139278628948465, 0.013927475946836319, 0.013927232678099258, 0.013927096345146429, 0.01392703966656241, 0.013927041975607129, 0.013927087280980327, 0.013927162927204339, 0.013927258657667467, 0.013927365952215246, 0.013927477554522472, 0.013927587132277207, 0.013927689031336482, 0.013927778097019177, 0.013927849543763537, 0.013927898859860901, 0.013927921737750927, 0.013927914022988475, 0.013927871676836776, 0.013927790748749905, 0.013927667355946164, 0.013927497667956916, 0.013927277894543635, 0.013927004275769952, 0.013926673073343429, 0.013926280562647438, 0.013925823025213247, 0.013925296741792909, 0.013924697986764434, 0.013924023025451315, 0.01392326811725841, 0.013922429529622634, 0.013921503571166607, 0.013920486658001757, 0.01391937543638109, 0.013918167000559692, 0.013916859271709747, 0.013915451651245848, 0.013913946147594409, 0.013912349334286714, 0.013910675801277916, 0.013908954365027069, 0.013907239553551148, 0.013905633606411498, 0.013904330521678365, 0.013903709282042691, 0.013904545556423866, 0.013908538113362458, 0.013919785393737671, 0.013949681281327045, 0.014037745516040444, 0.014386887443697208, 0.017675544924182926, 0.031020403420609355, 0.015557892996649154, 0.014565208031277074, 0.014290263537081056, 0.014171738048023694, 0.014108166184299066, 0.014069311627735163, 0.014043418788357151, 0.014025079508614388, 0.014011497281862821, 0.014001096015809209, 0.013992926721078817, 0.0139863872888637, 0.013981079125860876, 0.013976728925037436, 0.013973143650058752, 0.013970183451089387, 0.013967744738662219, 0.01396574925378959, 0.013964136805942447, 0.013962860325623343, 0.013961882418265785, 0.01396117291606129, 0.013960707107813291, 0.013960464438673239, 0.013960427541417589, 0.013960581505527021, 0.013960913319425911, 0.013961411440582355, 0.01396206546125207, 0.013962865846640148, 0.013963803728525232, 0.013964870741823508, 0.013966058894744671, 0.013967360465491034, 0.01396876792013664, 0.01397027384756939, 0.013971870908311481, 0.013973551794735814, 0.013975309200729785, 0.013977135799266818, 0.013979024226660697, 0.013980967072521716, 0.013982956874623394, 0.013984986118036363, 0.013987047238001156, 0.01398913262610189, 0.013991234639372029, 0.013993345612017358, 0.013995457869481602, 0.0139975637446109, 0.01399965559569416, 0.014001725826172574, 0.014003766905819861, 0.014005771393200795, 0.0140077319592167, 0.014009641411546115, 0.014011492719785686, 0.014013279041092829, 0.014014993746127056, 0.014016630445082159, 0.014018183013597828, 0.014019645618335852, 0.014021012742004436, 0.014022279207614528, 0.014023440201752989, 0.01402449129666305, 0.014025428470928013, 0.01402624812856389, 0.014026947116338406, 0.014027522739147674, 0.014027972773299409, 0.01402829547756961, 0.014028489601921355, 0.014028554393797365, 0.014028511195508912, 0.014028381723769233, 0.014028166347566408, 0.01402786568058717, 0.014027480579285634, 0.014027012140197283, 0.014026461696515655, 0.014025830813953956, 0.014025121285918164, 0.014024335128022238, 0.014023474571980226, 0.014022542058913009, 0.014021540232110869, 0.014020471929295545, 0.014019340174427412, 0.014018148169105802, 0.014016899283610646, 0.014015597047635673, 0.014014245140762669, 0.014012847382726666, 0.014011407723521337, 0.014009930233392462, 0.014008419092766546, 0.014006878582159038, 0.014005313072104944, 0.01400372701315207, 0.014002124925953941, 0.014000511391496521, 0.013998891041489464, 0.013997268548949053, 0.013995648618995811, 0.013994035979886398, 0.013992435374294289, 0.013990851550850515, 0.013989289255950395, 0.013987753225827864, 0.013986248178894715, 0.01398477880833658, 0.013983349774953052, 0.013981965700224089, 0.013980631159579622, 0.013979350675844073, 0.013978128712821752, 0.013976969668983629, 0.013975877871209878, 0.013974857568536468, 0.013973912925847702, 0.013973048017449911, 0.013972266820454427, 0.013971573207890995, 0.013970970941464831, 0.013970463663863383, 0.013970054890510248, 0.013969748000656482, 0.013969546227690819, 0.013969452648543363, 0.0139694701720496, 0.013969601526135314, 0.013969849243678171, 0.013970215646897663, 0.013970702830124675, 0.01397131264080375, 0.013972046658587227, 0.013972906172392018, 0.013973892155307151, 0.013975005237266053, 0.013976245675431941, 0.013977613322290895, 0.013979107591505306, 0.013980727421653514, 0.013982471238070102, 0.013984336913107392, 0.013986321725263044, 0.013988422317760769, 0.01399063465733151, 0.013992953994117589, 0.013995374823809954, 0.013997890853322993, 0.014000494971504671, 0.014003179226562979, 0.014005934812050546, 0.014008752063373577, 0.014011620466863431, 0.014014528683451502, 0.014017464588904245, 0.014020415332388309, 0.014023367414832674, 0.014026306788127036, 0.014029218975640512, 0.01403208921386797, 0.014034902614228482, 0.014037644343177525, 0.014040299817887028, 0.014042854913842447, 0.014045296179854632, 0.014047611055244876, 0.014049788083388914, 0.014051817115452784, 0.014053689498058797, 0.014055398238811821, 0.014056938144101088, 0.014058305924358069, 0.014059500262964606, 0.014060521846214466, 0.01406137335307025, 0.014062059404849586, 0.014062586476340684, 0.01406296277111195, 0.014063198064876074, 0.014063303521644721, 0.01406329148802935, 0.014063175271393306, 0.014062968907641684, 0.014062686924270141, 0.014062344103916068, 0.014061955253108093, 0.014061534980243621, 0.014061097486088836, 0.01406065636933999, 0.014060224449051657, 0.014059813605064097, 0.014059434636973362, 0.014059097141706162, 0.014058809409393276, 0.014058578336987404, 0.014058409358936043, 0.014058306394189677, 0.014058271808886705], [0.014011682024976409, 0.014011625161698869, 0.014011454707769627, 0.014011171070437728, 0.014010774926918292, 0.014010267222105894, 0.014009649165400243, 0.014008922226669962, 0.014008088131388234, 0.014007148854980507, 0.014006106616430392, 0.0140049638711964, 0.014003723303497351, 0.014002387818029, 0.014000960531178965, 0.013999444761811072, 0.013997844021693188, 0.013996162005645388, 0.013994402581487968, 0.01399256977987009, 0.013990667784061715, 0.013988700919791909, 0.013986673645218372, 0.013984590541112429, 0.013982456301345149, 0.013980275723760437, 0.013978053701521342, 0.013975795215017321, 0.013973505324421008, 0.013971189162985181, 0.013968851931173512, 0.013966498891721827, 0.013964135365731885, 0.013961766729905832, 0.013959398415037379, 0.013957035905885543, 0.013954684742569785, 0.013952350523639837, 0.013950038910992236, 0.013947755636827961, 0.013945506512871783, 0.013943297442105854, 0.01394113443330776, 0.01393902361872725, 0.013936971275288463, 0.01393498384976515, 0.013933067988447883, 0.013931230571904478, 0.013929478755530231, 0.013927820016693499, 0.013926262209405774, 0.013924813627584281, 0.013923483078128615, 0.013922279965199182, 0.01392121438725962, 0.013920297248620945, 0.013919540387387856, 0.013918956721836819, 0.013918560417319136, 0.01391836707573094, 0.013918393949354119, 0.013918660180344534, 0.013919187066177903, 0.013919998349755219, 0.013921120530336612, 0.013922583187641203, 0.013924419305834884, 0.013926665576123841, 0.013929362645567865, 0.01393255526475958, 0.013936292267493365, 0.013940626291101828, 0.013945613117149865, 0.013951310480450157, 0.01395777616408427, 0.013965065177042584, 0.013973225811786826, 0.013982294419505959, 0.013992288843675826, 0.014003200641007942, 0.014014986508338908, 0.014027559717965781, 0.014040782796573212, 0.014054463064841979, 0.014068352834029015, 0.014082155857776328, 0.014095540931483413, 0.014108162319552716, 0.014119685176628382, 0.014129812713358234, 0.014138311022486964, 0.014145027592510599, 0.01414990065541347, 0.014152958338904809, 0.014154308568341857, 0.014154122218853399, 0.014152612791383776, 0.01415001582427132, 0.014146570563098858, 0.014142505426595744, 0.01413802783454707, 0.014133318205899598, 0.014128527466832189, 0.014123777209042853, 0.0141191616376438, 0.014114750564972932, 0.014110592873314131, 0.01410672003955619, 0.014103149462528719, 0.014099887449049223, 0.014096931797246711, 0.014094273970094433, 0.014091900884599584, 0.014089796358946435, 0.014087942266275924, 0.01408631944369438, 0.014084908401377978, 0.014083689871184215, 0.014082645228195495, 0.014081756812806831, 0.014081008175696569, 0.014080384263443976, 0.014079871558708218, 0.014079458185719859, 0.014079133989281055, 0.014078890593435962, 0.014078721444367389, 0.014078621840815733, 0.01407858895432358, 0.014078621953163128, 0.01407872119273995, 0.014078887404960008, 0.014079121818833636, 0.014079426174446269, 0.014079802742965778, 0.0140802543531535, 0.0140807844250077, 0.014081397011352697, 0.014082096848401893, 0.014082889416577897, 0.014083781013178493, 0.014084778838848804, 0.014085891100275364, 0.014087127132080674, 0.014088497541599193, 0.014090014381096114, 0.014091691353105168, 0.014093544055979186, 0.014095590278566456, 0.014097850355273837, 0.014100347595832365, 0.014103108808086715, 0.014106164937422018, 0.014109551853496599, 0.014113311324436311, 0.014117492231527275, 0.014122152095110432, 0.014127359006873837, 0.01413319409808987, 0.014139754722119507, 0.014147158599692736, 0.014155549277926666, 0.014165103405935771, 0.014176040558901558, 0.014188636694146686, 0.014203242873742441, 0.014220311770634965, 0.01424043592337979, 0.01426440414580727, 0.014293286739048176, 0.014328567774472658, 0.014372356944747249, 0.014427741230430958, 0.01449939354530067, 0.014594679321475838, 0.01472579065826223, 0.014914169512201064, 0.01520053808070459, 0.015670436989839349, 0.016530147218717095, 0.018387504396116725, 0.023693158860532981, 0.048215848705974007, 0.072988065093288673, 0.026339385439361991, 0.018131168687595282, 0.015887197386782053, 0.015010314342525977, 0.014590300972362115, 0.014361561916458765, 0.01422556333113908, 0.014139399210475417, 0.014082125057468958, 0.014042603197878452, 0.014014503602177352, 0.013994032203649774, 0.013978813955892542, 0.013967307380224973, 0.013958481003109969, 0.013951626374447445, 0.013946245818240102, 0.013941982792168631, 0.01393857742329821, 0.013935837391566081, 0.013933618431201401, 0.013931811009079085, 0.013930331058186231, 0.013929113426412209, 0.013928107176368673, 0.013927272167755845, 0.013926576541685488, 0.013925994848006679, 0.013925506636803668, 0.013925095388865541, 0.013924747696357547, 0.013924452630012, 0.013924201246652938, 0.01392398620321657, 0.013923801452240162, 0.013923642000142584, 0.013923503714243874, 0.013923383167866043, 0.013923277515373761, 0.013923184390891493, 0.013923101825847521, 0.013923028181566467, 0.01392296209394933, 0.013922902427907556, 0.013922848239702934, 0.013922798745721592, 0.013922753296505127, 0.013922711355093115, 0.01392267247891369, 0.013922636304604125, 0.013922602535258235, 0.013922570929690233, 0.013922541293378688, 0.01392251347081426, 0.013922487339023078, 0.013922462802077772, 0.013922439786439471, 0.013922418237001168, 0.013922398113724237, 0.013922379388777635, 0.013922362044104278, 0.013922346069351369, 0.013922331460111452, 0.013922318216429835, 0.013922306341540881, 0.013922295840802111, 0.013922286720799586, 0.013922278988603303, 0.013922272651154321, 0.013922267714768862, 0.013922264184747825, 0.013922262065082206, 0.013922261358247491, 0.013922262065082208, 0.013922264184747828, 0.013922267714768861, 0.013922272651154321, 0.013922278988603314, 0.013922286720799589, 0.013922295840802118, 0.013922306341540885, 0.013922318216429825, 0.013922331460111452, 0.013922346069351372, 0.013922362044104287, 0.013922379388777637, 0.013922398113724239, 0.013922418237001161, 0.013922439786439469, 0.013922462802077781, 0.013922487339023081, 0.013922513470814253, 0.013922541293378693, 0.013922570929690235, 0.013922602535258238, 0.01392263630460413, 0.013922672478913687, 0.01392271135509311, 0.013922753296505129, 0.013922798745721592, 0.013922848239702929, 0.013922902427907557, 0.013922962093949318, 0.013923028181566472, 0.013923101825847519, 0.013923184390891491, 0.013923277515373759, 0.013923383167866047, 0.013923503714243878, 0.013923642000142584, 0.013923801452240163, 0.01392398620321657, 0.01392420124665293, 0.013924452630012006, 0.013924747696357551, 0.013925095388865534, 0.01392550663680367, 0.013925994848006686, 0.013926576541685495, 0.013927272167755845, 0.013928107176368675, 0.013929113426412208, 0.013930331058186229, 0.01393181100907908, 0.013933618431201403, 0.013935837391566086, 0.013938577423298215, 0.013941982792168626, 0.013946245818240112, 0.01395162637444744, 0.013958481003109962, 0.013967307380224978, 0.013978813955892535, 0.01399403220364976, 0.014014503602177356, 0.01404260319787844, 0.014082125057468958, 0.014139399210475433, 0.014225563331139088, 0.014361561916458694, 0.014590300972362087, 0.015010314342525427, 0.01588719738678249, 0.018131168687593922, 0.026339385439367615, 0.072988065093286064, 0.04821584870595462, 0.023693158860535694, 0.018387504396117881, 0.016530147218718434, 0.015670436989839914, 0.01520053808070471, 0.014914169512201252, 0.014725790658262211, 0.014594679321475894, 0.014499393545300698, 0.014427741230430991, 0.014372356944747266, 0.01432856777447265, 0.014293286739048186, 0.01426440414580727, 0.014240435923379802, 0.014220311770634974, 0.014203242873742443, 0.014188636694146696, 0.014176040558901563, 0.014165103405935776, 0.014155549277926669, 0.014147158599692745, 0.01413975472211952, 0.014133194098089875, 0.014127359006873848, 0.014122152095110434, 0.014117492231527279, 0.014113311324436308, 0.014109551853496603, 0.014106164937422018, 0.014103108808086715, 0.014100347595832369, 0.01409785035527383, 0.014095590278566461, 0.014093544055979179, 0.014091691353105165, 0.014090014381096113, 0.014088497541599191, 0.014087127132080671, 0.014085891100275354, 0.014084778838848809, 0.01408378101317849, 0.014082889416577897, 0.014082096848401894, 0.014081397011352697, 0.014080784425007705, 0.0140802543531535, 0.014079802742965776, 0.014079426174446269, 0.014079121818833635, 0.014078887404960005, 0.014078721192739944, 0.014078621953163128, 0.014078588954323587, 0.01407860544909152, 0.014078654998965361, 0.014078737800988469, 0.014078854184681138, 0.014079004613725511, 0.014079189688350367, 0.014079410148442439, 0.014079666877418861, 0.014079960906904519, 0.014080293422267683, 0.014080665769077735, 0.014081079460560473, 0.014081536186139698, 0.014082037821168181, 0.014082586437967641, 0.014083184318316386, 0.014083833967544427, 0.014084538130421058, 0.014085299809047691, 0.014086122283002458, 0.014087009132020697, 0.014087964261540863, 0.014088991931496965, 0.014090096788800658, 0.014091283904028104, 0.014092558812912234, 0.014093927563342644, 0.014095396768695517, 0.014096973668460433, 0.014098666197302824, 0.014100483063908596, 0.014102433841207143, 0.014104529069872355, 0.014106780377369224, 0.014109200615263651, 0.014111804018064727, 0.014114606387547824, 0.014117625307347661, 0.014120880393655366, 0.014124393589159751, 0.014128189509013409, 0.014132295849676298, 0.01413674387412257, 0.014141568990260919, 0.014146811443748054, 0.014152517151980491, 0.014158738713362179, 0.014165536635553437, 0.014172980839133242, 0.014181152510104756, 0.01419014639758035, 0.014200073684143718, 0.014211065599206801, 0.014223278005155812, 0.014236897269647417, 0.014252147856285384, 0.01426930223724664, 0.014288693981942713, 0.014310735247779269, 0.014335940460718025, 0.014364958836924818, 0.014398619751290911, 0.01443799712993319, 0.01448450260910298, 0.014540023215026824, 0.014607129761976794, 0.014689400916687547, 0.014791942830754178, 0.014922252235512131, 0.01509170978438293, 0.015318290696648019, 0.015631773587953448, 0.016084463731891152, 0.016775223196405002, 0.017909385230270261, 0.019970101654279773, 0.024303679013217793, 0.035578988038720748, 0.070717405826352955, 0.087184986051803831, 0.040453920998263275, 0.02461331856106452, 0.019313887416935287, 0.017063453301129867, 0.015931591751303559, 0.015292605683256192, 0.014900965164448072, 0.014645825660223639, 0.014471632248930333, 0.014348211500559118, 0.014258101238007644, 0.014190663141210876, 0.014139135740524417, 0.014099066268089318, 0.014067432489131908, 0.014042129156110601, 0.01402165631338775, 0.014004923909797113, 0.013991125807505202, 0.013979656485618648, 0.013970054733754905, 0.013961964825772576, 0.013955109263291942, 0.013949269328695316, 0.013944271004034723, 0.013939974637099027, 0.01393626726330903, 0.013933056835755873, 0.013930267843499385, 0.01392783795167166, 0.013925715401794511, 0.01392385698337243, 0.01392222643879905, 0.013920793199806429, 0.013919531379665107, 0.01391841896418341, 0.013917437158351559, 0.013916569855671461, 0.013915803204811721, 0.013915125253936832, 0.013914525657382184, 0.013913995432642493, 0.013913526758172571, 0.013913112804455029, 0.013912747592310742, 0.013912425873617006, 0.013912143030534818, 0.013911894990085829, 0.013911325675154889, 0.013910961910454685, 0.013910748632247607, 0.013910646080358547, 0.013910624987754239, 0.013910663379858086, 0.013910744408743009, 0.013910854865765532, 0.013910984146828786, 0.013911123524410467, 0.013911265630460339, 0.013911404086101288, 0.013911533234697236, 0.013911647948433402, 0.013911743487627266, 0.013911815398128247, 0.013911859436370431, 0.013911871514554742, 0.013911847660475655, 0.013911783987947205, 0.013911676674812733, 0.013911521946268284, 0.013911316061782739, 0.013911055304323594, 0.013910735970950187, 0.013910354364162382, 0.013909906783742244, 0.01390938951926033, 0.01390879884402039, 0.013908131012115193, 0.013907382261662538, 0.013906548829515754, 0.013905626986348885, 0.013904613106950441, 0.01390350380047033, 0.013902296142197393, 0.013900988077576197, 0.013899579120682244, 0.013898071562729751, 0.013896472580225264, 0.013894797967564067, 0.013893078889104408, 0.01389137444579046, 0.013889795929457839, 0.013888555828564252, 0.013888072718268852, 0.013889212818631359, 0.013893901637264276, 0.013906881909598021, 0.013941748251396572, 0.014048061415537442, 0.014506485038368627, 0.020420139066394439, 0.022802845618458689, 0.015234268738749763, 0.014478442891105, 0.014246329128492071, 0.014141526880704115, 0.014083810880099027, 0.014047927628446151, 0.014023728012174483, 0.014006437151311913, 0.013993545637692765, 0.013983621692033286, 0.013975794868497388, 0.013969508593562281, 0.013964392065371223, 0.013960189677923002, 0.01395672008195009, 0.013953851384926476, 0.01395148556137339, 0.01394954833456382, 0.013947982423630104, 0.013946742924774373, 0.013945794082738255, 0.013945106989961873, 0.013944657918251561, 0.013944427090175342, 0.013944397761619995, 0.013944555528125378, 0.013944887794564651, 0.013945383365711725, 0.013946032127426729, 0.01394682479658964, 0.013947752723783157, 0.013948807736886504, 0.013949982016727095, 0.013951267998103433, 0.013952658291083666, 0.013954145618662664, 0.013955722767743563, 0.013957382551075688, 0.013959117778288128, 0.013960921234546873, 0.013962785665663396, 0.013964703768715055, 0.013966668187418643, 0.013968671511639759, 0.013970706280530619, 0.01397276498887514, 0.01397484009628645, 0.013976924038953105, 0.013979009243669287, 0.013981088143912971, 0.013983153197756271, 0.013985196907406981, 0.01398721184018859, 0.01398919065077079, 0.01399112610446379, 0.013993011101388715, 0.013994838701332907, 0.013996602149095493, 0.013998294900123526, 0.013999910646234501, 0.014001443341216927, 0.014002887226097601, 0.01400423685386212, 0.014005487113415586, 0.01400663325257148, 0.014007670899861768, 0.014008596084967016, 0.014009405257574738, 0.014010095304485715, 0.014010663564801806, 0.01401110784304589, 0.014011426420082728, 0.014011618061730576, 0.014011682024976409, 0.014011639379156367, 0.014011511563276312, 0.014011298941692623, 0.014011002120389764, 0.014010621945074556, 0.014010159498525899, 0.014009616097216905, 0.014008993287231498, 0.014008292839501715, 0.014007516744395883, 0.014006667205691992, 0.014005746633973637, 0.01400475763948902, 0.014003703024516187, 0.014002585775279535, 0.014001409053464932, 0.014000176187381018, 0.013998890662816139, 0.013997556113639838, 0.013996176312198039, 0.013994755159550402, 0.013993296675597133, 0.013991804989141531, 0.013990284327932017, 0.013988739008725772, 0.01398717342741357, 0.013985592049242039, 0.013983999399166997, 0.013982400052367805, 0.01398079862494934, 0.013979199764853923, 0.013977608143002276, 0.013976028444677329, 0.013974465361161707, 0.013972923581634168, 0.013971407785326153, 0.01396992263393514, 0.013968472764286203, 0.013967062781228626, 0.013965697250749205, 0.013964380693278742, 0.013963117577162881, 0.013961912312262868, 0.013960769243646323, 0.013959692645321937, 0.013958686713966132, 0.013957755562583229, 0.013956903214034158, 0.013956133594361729, 0.013955450525833633, 0.013954857719616741, 0.013954358767988922, 0.013953957135986983, 0.013953656152381654, 0.013953458999863, 0.013953368704312711, 0.013953388123032952, 0.013953519931795904, 0.013953766610574047, 0.013954130427808725, 0.013954613423074684, 0.013955217388002166, 0.013955943845325492, 0.013956794025940501, 0.013957768843872669, 0.013958868869085501, 0.013960094298095513, 0.0139614449224082, 0.013962920094849915, 0.013964518693945219, 0.013966239086579199, 0.01396807908929134, 0.013970035928671118, 0.013972106201466402, 0.013974285835172727, 0.013976570050041446, 0.013978953323624964, 0.013981429359161201, 0.013983991059279433, 0.013986630506676652, 0.013989338953554861, 0.013992106821711712, 0.013994923715224549, 0.013997778447644705, 0.014000659085509095, 0.014003553009765688, 0.014006446996386408, 0.014009327316999989, 0.014012179859817227, 0.014014990270451196, 0.014017744111471759, 0.01402042703870543, 0.014023024991434057, 0.014025524392804389, 0.014027912355986209, 0.01403017689096198, 0.014032307106347827, 0.014034293400380173, 0.014036127635186548, 0.014037803288715768, 0.014039315579231527, 0.014040661558057535, 0.014041840167267373, 0.014042852260183546, 0.014043700583825315, 0.014044389723749912, 0.01404492601299424, 0.014045317407975247, 0.014045573335187043, 0.014045704513298009, 0.014045722755772514, 0.014045640759410512, 0.014045471884220255, 0.014045229929837449, 0.014044928913312745, 0.014044582852549265, 0.014044205559031419, 0.014043810442790048, 0.014043410331842775, 0.014043017307669594, 0.014042642557665514, 0.014042296244976623, 0.014041987395691409, 0.014041723803031241, 0.014041511947967268, 0.014041356935577681, 0.014041262446442736, 0.014041230702441015], [0.013984208629754413, 0.013984152498183772, 0.013983984237558374, 0.01398370424968247, 0.013983313202715857, 0.013982812028916063, 0.013982201921504107, 0.01398148433067938, 0.013980660958816962, 0.013979733754887312, 0.013978704908143779, 0.013977576841130306, 0.013976352202066243, 0.013975033856670416, 0.013973624879490689, 0.013972128544809429, 0.013970548317198118, 0.013968887841797178, 0.013967150934399621, 0.013965341571418396, 0.013963463879819246, 0.013961522127101122, 0.013959520711408085, 0.01395746415185594, 0.013955357079158168, 0.013953204226636024, 0.013951010421697819, 0.013948780577874071, 0.013946519687495669, 0.013944232815104532, 0.0139419250916888, 0.013939601709837627, 0.013937267919915855, 0.013934929027364493, 0.013932590391240746, 0.013930257424120625, 0.013927935593499511, 0.013925630424840145, 0.013923347506435245, 0.013921092496273359, 0.013918871131121533, 0.013916689238068859, 0.013914552748810415, 0.013912467716992994, 0.013910440338993357, 0.013908476978556704, 0.013906584195789688, 0.013904768781078717, 0.013903037794591944, 0.013901398612123131, 0.013899858978147257, 0.013898427067082008, 0.013897111553884423, 0.013895921695255102, 0.013894867422868608, 0.013893959450188531, 0.013893209394545096, 0.013892629916229107, 0.013892234876355169, 0.013892039515119201, 0.013892060651747837, 0.013892316906808127, 0.013892828946470374, 0.01389361974659847, 0.013894714871914642, 0.013896142761602092, 0.013897935007128631, 0.013900126600263253, 0.013902756118610736, 0.013905865801895238, 0.013909501454202148, 0.013913712085335974, 0.01391854917906241, 0.01392406544937295, 0.013930312922389446, 0.013937340168691515, 0.013945188520387909, 0.013953887155187479, 0.013963447035093848, 0.013973853868102779, 0.013985060526255599, 0.013996979690215749, 0.014009477851753705, 0.014022372099321681, 0.014035431207332204, 0.014048382307015987, 0.014060923744953421, 0.014072743663043809, 0.01408354255625485, 0.014093056926353221, 0.014101080539775962, 0.014107479987909812, 0.014112202254307926, 0.014115273542881359, 0.014116790255697743, 0.014116904273714138, 0.014115805308730814, 0.014113703028095009, 0.014110811078493183, 0.014107334319029299, 0.014103459766054521, 0.014099351116293634, 0.014095146314136666, 0.014090957449841384, 0.014086872262858773, 0.014082956613488865, 0.014079257420674346, 0.014075805704809175, 0.014072619499515607, 0.014069706495856964, 0.014067066355149465, 0.014064692675588466, 0.014062574628208428, 0.014060698294267048, 0.014059047743324742, 0.014057605892487083, 0.014056355184973066, 0.014055278122071543, 0.014054357677754269, 0.01405357762039708, 0.014052922761589877, 0.014052379148069952, 0.014051934209445083, 0.014051576871571856, 0.014051297643166982, 0.014051088681388973, 0.014050943840661603, 0.014050858707848196, 0.014050830625961568, 0.01405086171203972, 0.014050955197333815, 0.014051111765487812, 0.014051332564179899, 0.01405161921772393, 0.014051973845106508, 0.014052399083870841, 0.014052898120400144, 0.014053474727314606, 0.014054133308883067, 0.014054878955571851, 0.014055717509117372, 0.014056655639829399, 0.014057700938222551, 0.014058862023555078, 0.014060148672452224, 0.014061571971538334, 0.014063144498943823, 0.014064880540745799, 0.014066796349924303, 0.014068910457373787, 0.014071244047042819, 0.014073821410580461, 0.014076670501210843, 0.014079823612313714, 0.014083318213882265, 0.014087197990407488, 0.014091514137873499, 0.014096326997000535, 0.014101708126939406, 0.014107742961729237, 0.01411453424616935, 0.01412220652629966, 0.014130912084898166, 0.01414083888412257, 0.014152221337824769, 0.014165355138477134, 0.014180617998494521, 0.014198499190301819, 0.014219642465088481, 0.014244909815752748, 0.014275478615925961, 0.014312993880703916, 0.01435981483296685, 0.014419429506877831, 0.014497183282756954, 0.014601627622786651, 0.014747178991575282, 0.01495978190353963, 0.015290204852873444, 0.015849482178397704, 0.016921188574763272, 0.019417460971262068, 0.027583692920893639, 0.070166786788836338, 0.048557267149509489, 0.022056950159397917, 0.017038829410483014, 0.015461289217871771, 0.014795281334430553, 0.014460897795600497, 0.014273026198601888, 0.014158855030547616, 0.014085355458079945, 0.0140359112306069, 0.014001479987432891, 0.013976828163701592, 0.013958772502220199, 0.01394529616178846, 0.013935076954909838, 0.013927222644984657, 0.013921116005897715, 0.013916320780385159, 0.01391252277830793, 0.01390949195531112, 0.01390705739889595, 0.013905090468714855, 0.013903493211500995, 0.013902190261059056, 0.01390112308536675, 0.01390024584204131, 0.01389952235347411, 0.013898923872752364, 0.013898427415530806, 0.013898014501907776, 0.013897670198690745, 0.013897382384046982, 0.013897141178390287, 0.013896938500654954, 0.013896767719942577, 0.013896623380282387, 0.013896500981854095, 0.013896396806114746, 0.013896307775285737, 0.013896231338894364, 0.013896165381739559, 0.013896108148914833, 0.013896058184480616, 0.013896014281111433, 0.013895975438607659, 0.013895940829597605, 0.013895909771096119, 0.013895881700851145, 0.013895856157618887, 0.013895832764673972, 0.013895811215991486, 0.013895791264643171, 0.013895772713033477, 0.01389575540466893, 0.013895739217208564, 0.013895724056587604, 0.013895709852042212, 0.013895696551892789, 0.013895684119967285, 0.013895672532565604, 0.013895661775882816, 0.013895651843822134, 0.013895642736140086, 0.013895634456875576, 0.013895627013022341, 0.013895620413411192, 0.013895614667773471, 0.013895609785962767, 0.013895605777315176, 0.01389560265013243, 0.013895600411275234, 0.013895599065856808, 0.01389559861702915, 0.013895599065856811, 0.013895600411275239, 0.013895602650132427, 0.013895605777315178, 0.013895609785962776, 0.013895614667773478, 0.013895620413411199, 0.013895627013022348, 0.013895634456875569, 0.013895642736140088, 0.013895651843822137, 0.013895661775882823, 0.013895672532565606, 0.013895684119967279, 0.013895696551892784, 0.01389570985204221, 0.013895724056587611, 0.013895739217208568, 0.013895755404668923, 0.013895772713033473, 0.013895791264643177, 0.013895811215991493, 0.013895832764673972, 0.013895856157618885, 0.013895881700851142, 0.013895909771096124, 0.013895940829597598, 0.013895975438607652, 0.013896014281111441, 0.013896058184480604, 0.013896108148914836, 0.013896165381739562, 0.013896231338894361, 0.013896307775285732, 0.013896396806114751, 0.013896500981854099, 0.013896623380282387, 0.013896767719942582, 0.013896938500654956, 0.013897141178390287, 0.013897382384046988, 0.013897670198690754, 0.013898014501907771, 0.013898427415530809, 0.013898923872752369, 0.013899522353474119, 0.013900245842041312, 0.013901123085366748, 0.013902190261059056, 0.013903493211500997, 0.013905090468714855, 0.01390705739889595, 0.013909491955311121, 0.01391252277830793, 0.013916320780385153, 0.013921116005897724, 0.013927222644984655, 0.013935076954909833, 0.01394529616178846, 0.013958772502220192, 0.013976828163701577, 0.014001479987432897, 0.014035911230606884, 0.014085355458079955, 0.014158855030547628, 0.0142730261986019, 0.014460897795600395, 0.014795281334430537, 0.015461289217870905, 0.017038829410483829, 0.022056950159394784, 0.048557267149525067, 0.070166786788834409, 0.027583692920888452, 0.019417460971262821, 0.016921188574763924, 0.015849482178398561, 0.015290204852873829, 0.014959781903539715, 0.014747178991575419, 0.014601627622786639, 0.01449718328275699, 0.014419429506877851, 0.01435981483296688, 0.014312993880703931, 0.014275478615925957, 0.014244909815752762, 0.014219642465088479, 0.014198499190301833, 0.014180617998494528, 0.014165355138477127, 0.014152221337824782, 0.014140838884122573, 0.014130912084898176, 0.014122206526299665, 0.014114534246169357, 0.014107742961729246, 0.014101708126939411, 0.014096326997000546, 0.014091514137873499, 0.014087197990407488, 0.014083318213882262, 0.014079823612313722, 0.014076670501210843, 0.014073821410580461, 0.014071244047042825, 0.014068910457373789, 0.014066796349924303, 0.014064880540745794, 0.014063144498943823, 0.014061571971538333, 0.014060148672452224, 0.014058862023555078, 0.014057700938222541, 0.014056655639829401, 0.014055717509117365, 0.014054878955571849, 0.014054133308883063, 0.014053474727314601, 0.014052898120400148, 0.014052399083870841, 0.014051973845106506, 0.01405161921772393, 0.014051332564179895, 0.014051111765487805, 0.014050955197333809, 0.014050861712039717, 0.014050830625961578, 0.014050846164673289, 0.014050892842286153, 0.014050970843533721, 0.014051080477309717, 0.014051222178186058, 0.014051396508560944, 0.014051604161460497, 0.0140518459640243, 0.014052122881713461, 0.014052436023288059, 0.014052786646609911, 0.014053176165337009, 0.014053606156587116, 0.014054078369660817, 0.014054594735928412, 0.014055157380001486, 0.014055768632328295, 0.014056431043373504, 0.014057147399566887, 0.014057920741234022, 0.01405875438275435, 0.014059651935230297, 0.014060617331994778, 0.01406165485733693, 0.014062769178886131, 0.01406396538416638, 0.014065249021917792, 0.014066626148882084, 0.014068103382868978, 0.014069687963062414, 0.014071387818696829, 0.014073211647438761, 0.014075169005056995, 0.014077270408264434, 0.014079527452979515, 0.014081952950700732, 0.014084561086233485, 0.014087367600681012, 0.0140903900044429, 0.014093647825998892, 0.014097162903547313, 0.014100959728190116, 0.014105065849405483, 0.014109512356151509, 0.014114334450270436, 0.014119572133140142, 0.014125271032057763, 0.014131483400061514, 0.0141382693323833, 0.01414569825528641, 0.014153850759815075, 0.014162820875578581, 0.014172718910420625, 0.014183675024035114, 0.014195843762197038, 0.014209409860590386, 0.014224595744251774, 0.014241671317271267, 0.014260966883818688, 0.014282890407283429, 0.014307950866202391, 0.014336790313735342, 0.014370228576790531, 0.014409326660413268, 0.014455478417070396, 0.014510545927420212, 0.014577064255187863, 0.014658559563788968, 0.014760058703271715, 0.014888934664531214, 0.015056367509858757, 0.015279992219793051, 0.015588977934514605, 0.0160344626478288, 0.016712877906333256, 0.017823925841869259, 0.019835766604297957, 0.024046951879353341, 0.03494397803952063, 0.06916606045325023, 0.088888499418506572, 0.041150557814049679, 0.024758513735418559, 0.019335123040701292, 0.017049691435784935, 0.015906059045038758, 0.015262752780248034, 0.014869541981240261, 0.014613941254315092, 0.014439754441395201, 0.014316536813578839, 0.014226705220303087, 0.014159565895744746, 0.01410833200210233, 0.014068539706809798, 0.014037162644648833, 0.014012094799565597, 0.013991837031796404, 0.013975300792719348, 0.013961681679683943, 0.013950375913963739, 0.013940923927670552, 0.013932971492985575, 0.01392624245329697, 0.013920519279888155, 0.013915629002007802, 0.013911432886997109, 0.013907818776759557, 0.013904695331701659, 0.013901987661728996, 0.013899633977660565, 0.013897583001470913, 0.013895791946511077, 0.013894224929874471, 0.013892851715274757, 0.013891646710777654, 0.013890588164558328, 0.0138896575156398, 0.013888838866748979, 0.013888118554012861, 0.013887484793914934, 0.013886927392243578, 0.013886437503051982, 0.013886007428171686, 0.013885630449771801, 0.01388530068997054, 0.013885012992691443, 0.013884762823887542, 0.013884199789430784, 0.013883855499311005, 0.013883669660924573, 0.013883599104497817, 0.01388361232396924, 0.013883685871063195, 0.013883801931294753, 0.013883946669221946, 0.013884109083514267, 0.013884280205439982, 0.013884452532087631, 0.013884619622148771, 0.013884775805602326, 0.013884915974032654, 0.013885035428538044, 0.013885129769071644, 0.013885194813750635, 0.013885226539905801, 0.013885221040899034, 0.013885174494323556, 0.013885083138331832, 0.01388494325365198, 0.013884751149455563, 0.013884503151701269, 0.013884195592959159, 0.013883824803068885, 0.013883387100356824, 0.013882878783596619, 0.013882296125534418, 0.013881635369750872, 0.013880892734112677, 0.013880064426430328, 0.013879146681781654, 0.013878135837302791, 0.013877028470878003, 0.013875821648280122, 0.013874513354801133, 0.013873103243341223, 0.013871593932793967, 0.013869993281546707, 0.01386831843106383, 0.013866603160040233, 0.013864911659918178, 0.013863365328670413, 0.013862197417823057, 0.013861871358252498, 0.013863357264559392, 0.013868845458920181, 0.013883850599453747, 0.013924707827805501, 0.014054320683844167, 0.014671657419474939, 0.026970265826524162, 0.019275904984262293, 0.014983492156222902, 0.014393229082253961, 0.014195287930453026, 0.014102113676506949, 0.014049534390953647, 0.01401631710173914, 0.013993661080211795, 0.013977337350801642, 0.013965088825465872, 0.013955612435265583, 0.0139481086019532, 0.013942062223737098, 0.0139371280066232, 0.013933066697091078, 0.013929707802534715, 0.013926926857770486, 0.013924631052457552, 0.013922749856213964, 0.013921228734452531, 0.013920024833513468, 0.013919103954151071, 0.013918438387986521, 0.013918005344362352, 0.01391778578893162, 0.013917763574429712, 0.013917924782123354, 0.013918257217414057, 0.013918750019781354, 0.01391939335861459, 0.013920178194331626, 0.013921096089682953, 0.01392213906004554, 0.013923299454319379, 0.013924569860081587, 0.013925943028155436, 0.01392741181286628, 0.01392896912509302, 0.013930607895855627, 0.013932321048661286, 0.013934101479201733, 0.013935942041279582, 0.013937835538063758, 0.013939774717946404, 0.013941752274408836, 0.013943760849409246, 0.013945793039887074, 0.013947841407042534, 0.013949898488098536, 0.013951956810289455, 0.013954008906848486, 0.013956047334784486, 0.01395806469425325, 0.013960053649335547, 0.013962006950038712, 0.013963917455339396, 0.013965778157083724, 0.01396758220455754, 0.013969322929535559, 0.01397099387161344, 0.013972588803621767, 0.013974101756917007, 0.013975527046341271, 0.013976859294640554, 0.013978093456131432, 0.013979224839407091, 0.013980249128878672, 0.013981162404953191, 0.013981961162658998, 0.013982642328540662, 0.013983203275658978, 0.013983641836548728, 0.013983956314004408, 0.013984145489585429, 0.013984208629754413, 0.013984166532700206, 0.01398404036158301, 0.013983830476160419, 0.013983537474769254, 0.013983162192445293, 0.013982705698308418, 0.013982169292229795, 0.013981554500803118, 0.013980863072645497, 0.013980096973058126, 0.013979258378080256, 0.013978349667973606, 0.013977373420177096, 0.01397633240177446, 0.013975229561519201, 0.013974068021463691, 0.013972851068239088, 0.013971582144035181, 0.013970264837328107, 0.013968902873404502, 0.01396750010472989, 0.013966060501207798, 0.013964588140375243, 0.013963087197577639, 0.013961561936164539, 0.013960016697745046, 0.013958455892538659, 0.013956883989854342, 0.013955305508727252, 0.013953725008739015, 0.013952147081043488, 0.013950576339616142, 0.013949017412740712, 0.013947474934743104, 0.013945953537977483, 0.013944457845064998, 0.013942992461381557, 0.013941561967785364, 0.013940170913570646, 0.013938823809628815, 0.013937525121792988, 0.013936279264336684, 0.013935090593591846, 0.013933963401645809, 0.013932901910070928, 0.013931910263634474, 0.013930992523930241, 0.01393015266286661, 0.013929394555939202, 0.013928721975209344, 0.013928138581902132, 0.013927647918531089, 0.013927253400448538, 0.013926958306714088, 0.01392676577016605, 0.013926678766574541, 0.013926700102748673, 0.013926832403465665, 0.013927078097086352, 0.013927439399720147, 0.013927918297804091, 0.013928516528965543, 0.013929235561047238, 0.0139300765691885, 0.013931040410877615, 0.013932127598920253, 0.013933338272307237, 0.013934672165015384, 0.013936128572837037, 0.013937706318410332, 0.013939403714713075, 0.013941218527390472, 0.013943147936409907, 0.013945188497675008, 0.013947336105384484, 0.013949585956085959, 0.013951932515547188, 0.01395436948974082, 0.013956889801405786, 0.013959485573799299, 0.013962148123376077, 0.013964867963212394, 0.013967634819017074, 0.013970437659524913, 0.013973264742935016, 0.01397610368082533, 0.013978941520635071, 0.013981764847355631, 0.013984559904509414, 0.013987312733835388, 0.013990009332359344, 0.013992635824734118, 0.013995178647926662, 0.013997624744549799, 0.013999961760434002, 0.014002178241459511, 0.014004263824266939, 0.014006209415277244, 0.014008007352505234, 0.014009651544961138, 0.014011137584997984, 0.014012462829757414, 0.014013626448856073, 0.014014629436586143, 0.014015474588114201, 0.014016166440384618, 0.014016711179598827, 0.014017116518188542, 0.014017391545076148, 0.014017546553682652, 0.014017592852578756, 0.014017542563874445, 0.014017408414414866, 0.014017203524620218, 0.014016941199407509, 0.014016634725103014, 0.01401629717563945, 0.014015941230674284, 0.014015579007605162, 0.014015221908829804, 0.014014880485029579, 0.014014564314768068, 0.014014281900303563, 0.014014040579221553, 0.014013846451303966, 0.014013704319957375, 0.014013617647517003, 0.014013588523813188], [0.013988574081442599, 0.013988518631976858, 0.013988352415964697, 0.013988075830111369, 0.013987689534096195, 0.013987194448341437, 0.013986591750915135, 0.013985882873593279, 0.013985069497114224, 0.013984153545664981, 0.013983137180644404, 0.013982022793755006, 0.013980812999479996, 0.01397951062700686, 0.013978118711663226, 0.013976640485934663, 0.01397507937013691, 0.01397343896281791, 0.013971723030967441, 0.013969935500113322, 0.013968080444385257, 0.013966162076627427, 0.013964184738642898, 0.013962152891652094, 0.013960071107049048, 0.013957944057539133, 0.013955776508742451, 0.013953573311348222, 0.013951339393906387, 0.013949079756344358, 0.013946799464299841, 0.013944503644362978, 0.013942197480326506, 0.013939886210547864, 0.01393757512653456, 0.013935269572873239, 0.013932974948634606, 0.013930696710399868, 0.013928440377071282, 0.013926211536649923, 0.013924015855187547, 0.013921859088148266, 0.013919747094449569, 0.013917685853491582, 0.013915681485530008, 0.013913740275801414, 0.013911868702871734, 0.013910073471749556, 0.013908361552386304, 0.013906740224276393, 0.01390521712797111, 0.013903800324430466, 0.013902498363255038, 0.013901320360962161, 0.013900276090589999, 0.013899376084021083, 0.013898631748496093, 0.013898055498816777, 0.013897660906678235, 0.013897462868375151, 0.013897477791721284, 0.013897723802306135, 0.013898220968047048, 0.013898991539191325, 0.013900060198231751, 0.013901454310299851, 0.013903204159097333, 0.013905343145850423, 0.013907907918617141, 0.013910938386071638, 0.013914477553334177, 0.013918571097635663, 0.01392326657953802, 0.013928612163383742, 0.013934654703025188, 0.013941437042973655, 0.013948994401671178, 0.013957349756736896, 0.013966508257608007, 0.01397645086241823, 0.013987127636882507, 0.01399845144691916, 0.014010293076390427, 0.014022479022982908, 0.014034793256979027, 0.014046983958497719, 0.014058775618392678, 0.014069885942179375, 0.014080045918119649, 0.014089020494682023, 0.014096626872579131, 0.014102747654184861, 0.014107336994513007, 0.014110419219737758, 0.014112080740850005, 0.014112457125990475, 0.014111717687765037, 0.014110049873896368, 0.014107645265785784, 0.014104688308138815, 0.014101348216555853, 0.014097773972836066, 0.014094091973351968, 0.01409040573526537, 0.014086797045238568, 0.014083328002941434, 0.014080043520814737, 0.014076973959103232, 0.014074137681475925, 0.014071543402671428, 0.014069192263711106, 0.014067079614425717, 0.014065196511131577, 0.014063530953338906, 0.014062068891008294, 0.014060795036002849, 0.01405969351018326, 0.01405874835958316, 0.014057943960290947, 0.014057265337683467, 0.014056698416870747, 0.014056230218808237, 0.014055849013587583, 0.014055544439937317, 0.014055307597918225, 0.014055131120135813, 0.014055009225455679, 0.014054937758138637, 0.014054914214454914, 0.014054943504864435, 0.014055031588591331, 0.014055179105358832, 0.014055387128848056, 0.014055657178083106, 0.014055991233719254, 0.014056391759596889, 0.014056861730048584, 0.014057404663587751, 0.014058024663770798, 0.014058726468217275, 0.014059515507001774, 0.014060397971907931, 0.014061380898371625, 0.014062472262353283, 0.014063681094890926, 0.014065017617721325, 0.014066493404155734, 0.014068121570403665, 0.014069917003819703, 0.01407189663618658, 0.01407407977225918, 0.01407648848653434, 0.014079148104793526, 0.014082087791686767, 0.014085341271899782, 0.014088947720856561, 0.014092952872289051, 0.014097410405556371, 0.014102383697072092, 0.014107948050192512, 0.014114193560321793, 0.014121228832713741, 0.014129185858637728, 0.014138226485596124, 0.01414855111213909, 0.014160410535102657, 0.014174122339534486, 0.014190093956433569, 0.014208855708950063, 0.014231109163899048, 0.014257799536537635, 0.014290226988537841, 0.014330222879274063, 0.014380438576138188, 0.014444837834431724, 0.014529576209419814, 0.014644661241646408, 0.014807304503777119, 0.015049277489426582, 0.015434860265940592, 0.016111219774191908, 0.01748006361370321, 0.020975888115015957, 0.034503686149989936, 0.088904373000407058, 0.033673671476788007, 0.019516321720121584, 0.016297687346295806, 0.01516092465691145, 0.014648262463949046, 0.01437999167165022, 0.014224989053479541, 0.014128900019136453, 0.014066128988565067, 0.014023434619143484, 0.013993453770764006, 0.013971850999065635, 0.013955952344637215, 0.013944044085296679, 0.013934991927497526, 0.013928024212811418, 0.013922603444219757, 0.013918347476240671, 0.013914979696420367, 0.013912296692198498, 0.01391014677112108, 0.01390841539183438, 0.013907015096843767, 0.013905878438416544, 0.013904952931714041, 0.013904197404188058, 0.013903579321490262, 0.013903072805962065, 0.013902657152688564, 0.01390231570727384, 0.013902035009478612, 0.01390180413425726, 0.013901614180749738, 0.013901457873146391, 0.013901329246837872, 0.013901223400081193, 0.013901136296356675, 0.013901064606210016, 0.013901005580045049, 0.013900956945322078, 0.013900916823108046, 0.013900883660052661, 0.013900856172721679, 0.013900833301875885, 0.01390081417478998, 0.013900798074098263, 0.013900784411959582, 0.013900772708573435, 0.013900762574268453, 0.013900753694532968, 0.013900745817476808, 0.013900738743308041, 0.013900732315484268, 0.013900726413259519, 0.013900720945397358, 0.013900715844860561, 0.013900711064321027, 0.013900706572359863, 0.013900702350249658, 0.013900698389229141, 0.013900694688195148, 0.013900691251749218, 0.013900688088546708, 0.013900685209904357, 0.013900682628630128, 0.013900680358044608, 0.013900678411168998, 0.013900676800058779, 0.013900675535266046, 0.013900674625416954, 0.013900674076893669, 0.013900673893612608, 0.013900674076893667, 0.013900674625416958, 0.013900675535266041, 0.01390067680005878, 0.013900678411169005, 0.013900680358044617, 0.013900682628630139, 0.013900685209904361, 0.013900688088546703, 0.013900691251749222, 0.013900694688195145, 0.013900698389229154, 0.013900702350249662, 0.013900706572359861, 0.013900711064321026, 0.013900715844860556, 0.013900720945397365, 0.013900726413259531, 0.013900732315484261, 0.013900738743308043, 0.013900745817476813, 0.013900753694532969, 0.013900762574268458, 0.013900772708573431, 0.013900784411959577, 0.013900798074098272, 0.013900814174789979, 0.01390083330187588, 0.013900856172721684, 0.013900883660052649, 0.013900916823108048, 0.01390095694532208, 0.013901005580045055, 0.01390106460621001, 0.013901136296356684, 0.013901223400081195, 0.013901329246837875, 0.013901457873146396, 0.013901614180749739, 0.013901804134257262, 0.013902035009478619, 0.01390231570727384, 0.01390265715268856, 0.013903072805962067, 0.013903579321490266, 0.013904197404188067, 0.013904952931714039, 0.01390587843841655, 0.013907015096843769, 0.013908415391834374, 0.013910146771121075, 0.013912296692198499, 0.013914979696420367, 0.013918347476240675, 0.013922603444219759, 0.013928024212811429, 0.013934991927497524, 0.013944044085296675, 0.013955952344637215, 0.013971850999065626, 0.013993453770763989, 0.014023434619143493, 0.014066128988565052, 0.014128900019136458, 0.014224989053479558, 0.014379991671650225, 0.014648262463948904, 0.015160924656911372, 0.016297687346294231, 0.019516321720123436, 0.033673671476775989, 0.088904373000405559, 0.034503686149989617, 0.020975888115013736, 0.017480063613703703, 0.016111219774192314, 0.015434860265941144, 0.015049277489426856, 0.014807304503777175, 0.014644661241646508, 0.014529576209419805, 0.014444837834431753, 0.014380438576138209, 0.014330222879274093, 0.014290226988537852, 0.014257799536537635, 0.01423110916389906, 0.014208855708950068, 0.014190093956433581, 0.014174122339534495, 0.014160410535102658, 0.014148551112139097, 0.014138226485596126, 0.014129185858637738, 0.014121228832713745, 0.014114193560321796, 0.014107948050192517, 0.014102383697072096, 0.01409741040555638, 0.014092952872289045, 0.014088947720856559, 0.014085341271899783, 0.014082087791686774, 0.014079148104793528, 0.014076488486534339, 0.014074079772259183, 0.014071896636186574, 0.014069917003819703, 0.014068121570403659, 0.014066493404155733, 0.014065017617721326, 0.014063681094890925, 0.014062472262353284, 0.014061380898371624, 0.014060397971907935, 0.014059515507001765, 0.014058726468217273, 0.014058024663770798, 0.014057404663587751, 0.014056861730048586, 0.014056391759596889, 0.014055991233719254, 0.014055657178083105, 0.014055387128848055, 0.01405517910535883, 0.014055031588591326, 0.01405494350486443, 0.014054914214454923, 0.014054928855627594, 0.01405497283689785, 0.014055046331793476, 0.014055149630433882, 0.01405528314089979, 0.014055447391170975, 0.014055643031652769, 0.014055870838318165, 0.014056131716499573, 0.014056426705371463, 0.014056756983173149, 0.014057123873230109, 0.014057528850841763, 0.014057973551115023, 0.014058459777834873, 0.014058989513477772, 0.014059564930489188, 0.014060188403965133, 0.014060862525898277, 0.014061590121173457, 0.014062374265524971, 0.014063218305700946, 0.014064125882116757, 0.014065100954324186, 0.014066147829673843, 0.014067271195608818, 0.014068476156098816, 0.014069768272807604, 0.014071153611686761, 0.014072638795806705, 0.014074231065377859, 0.0140759383460838, 0.014077769327052457, 0.014079733550036359, 0.014081841511671012, 0.014084104781041912, 0.014086536135232015, 0.014089149716062836, 0.014091961211908451, 0.014094988069286067, 0.014098249739950832, 0.014101767970502334, 0.014105567143116973, 0.014109674678048812, 0.014114121511118446, 0.014118942662700348, 0.014124177918952588, 0.014129872651510902, 0.014136078809012192, 0.014142856123193158, 0.014150273584728782, 0.014158411260553262, 0.01416736254673313, 0.014177236981317598, 0.01418816378327643, 0.014200296341496841, 0.014213817959049475, 0.014228949273403005, 0.014245957939569953, 0.014265171406111726, 0.0142869939743308, 0.014311929874600884, 0.014340614928770751, 0.014373860675718518, 0.014412716931513492, 0.014458562189948339, 0.014513237051721188, 0.014579245898058106, 0.014660069996966566, 0.014760668664757193, 0.014888309995059759, 0.01505400487653193, 0.015275103001153739, 0.015580265828664957, 0.01601966636861581, 0.016687744446589447, 0.017779635146289437, 0.01975148858551461, 0.023864152135541356, 0.03446208948526417, 0.06794111059452998, 0.090205640170520532, 0.041705097916549951, 0.024880147684388371, 0.019365628203761715, 0.017056637966303519, 0.015906096203841331, 0.015260855024306125, 0.014867373927048554, 0.01461207893090369, 0.014438379984303282, 0.014315682717367474, 0.01422634748113386, 0.014159661372430889, 0.014108833686583319, 0.01406940280950879, 0.014038346753368529, 0.014013564355241561, 0.013993561108055072, 0.013977252619789406, 0.01396383810798062, 0.013952716900396943, 0.013943432076015595, 0.013935631656141808, 0.0139290413950433, 0.013923445389802246, 0.013918672056182226, 0.013914583847439989, 0.013911069623126091, 0.013908038919901075, 0.013905417604822487, 0.013903144545244215, 0.013901169034404049, 0.013899448784409204, 0.013897948349246366, 0.013896637876561362, 0.013895492112858576, 0.013894489605543271, 0.013893612058966713, 0.013892843811778095, 0.013892171410442015, 0.013891583259453362, 0.013891069333073302, 0.013890620936681098, 0.013890230508346691, 0.013889891453167102, 0.013889598004416968, 0.013889345106740596, 0.013888787869302579, 0.013888463858299414, 0.013888306972667786, 0.013888270286937308, 0.013888319848519619, 0.01388843061146898, 0.0138885837216692, 0.013888764675027518, 0.013888962050308321, 0.013889166626624467, 0.01388937076232526, 0.013889567953933618, 0.013889752520602577, 0.013889919377010474, 0.013890063869141014, 0.013890181655116452, 0.013890268618491091, 0.013890320805007876, 0.013890334376315996, 0.013890305575896413, 0.013890230703682484, 0.013890106096754519, 0.013889928114142112, 0.013889693124268174, 0.013889397493976597, 0.013889037578458384, 0.013888609711784621, 0.013888110198240005, 0.013887535305322381, 0.013886881260277623, 0.013886144253605995, 0.013885320455484077, 0.013884406055136422, 0.013883397339962928, 0.01388229084261949, 0.01388108360374429, 0.013879773632042788, 0.013878360704155926, 0.013876847757893312, 0.013875243342019776, 0.013873565994702342, 0.013871852252503054, 0.013870171754691745, 0.013868656860829066, 0.013867563653393516, 0.013867405635163171, 0.013869270971675295, 0.013875657650497288, 0.013893004392620633, 0.013941074330204899, 0.014100738099500375, 0.014958024513918781, 0.045626251905582817, 0.017510213005672459, 0.014819729813727834, 0.014349191610154209, 0.01417892429319237, 0.01409568997756752, 0.014047643116798427, 0.014016827424899679, 0.013995582245180872, 0.01398015191784749, 0.013968502168443281, 0.013959445183142802, 0.013952245542383035, 0.013946426023024809, 0.013941664798453341, 0.013937737750732166, 0.013934484487425179, 0.013931787483322003, 0.013929558819320382, 0.0139277314901465, 0.013926253552640074, 0.01392508409246636, 0.013924190385466063, 0.013923545862206484, 0.013923128623911478, 0.013922920344098352, 0.013922905444698833, 0.013923070470608329, 0.013923403609774246, 0.013923894321473514, 0.013924533046026723, 0.013925310976535, 0.013926219878380174, 0.013927251945896843, 0.013928399688268183, 0.013929655838622573, 0.013931013281727325, 0.013932464996730488, 0.013934004012194518, 0.013935623371265372, 0.013937316105278885, 0.013939075214457999, 0.013940893654626875, 0.01394276432907929, 0.013944680084903606, 0.013946633713195647, 0.013948617952691268, 0.013950625496429087, 0.013952649001114592, 0.013954681098903318, 0.013956714411356444, 0.013958741565347892, 0.013960755210720403, 0.013962748039501019, 0.013964712806493283, 0.013966642351067524, 0.013968529619970808, 0.013970367690976763, 0.013972149797191332, 0.013973869351827007, 0.013975519973252588, 0.013977095510120654, 0.01397859006637114, 0.013979998025905554, 0.013981314076724568, 0.013982533234321866, 0.013983650864127652, 0.01398466270280054, 0.013985564878171628, 0.013986353927653832, 0.01398702681494072, 0.013987580944832399, 0.013988014176042857, 0.013988324831860528, 0.013988511708554687, 0.013988574081442599, 0.013988532495953958, 0.013988407858100098, 0.013988200523343354, 0.013987911082877605, 0.013987540361771711, 0.013987089416387545, 0.01398655953108921, 0.013985952214265043, 0.013985269193687795, 0.013984512411242685, 0.013983684017056474, 0.013982786363064277, 0.013981821996053436, 0.013980793650226498, 0.01397970423932731, 0.013978556848376225, 0.013977354725060745, 0.013976101270829879, 0.013974800031739627, 0.013973454689097504, 0.013972069049953151, 0.013970647037481009, 0.013969192681299963, 0.013967710107772296, 0.01396620353032286, 0.01396467723981658, 0.013963135595029376, 0.013961583013244808, 0.013960023961005217, 0.013958462945042589, 0.013956904503410637, 0.013955353196835602, 0.013953813600298908, 0.013952290294861096, 0.013950787859731447, 0.013949310864583314, 0.01394786386211095, 0.013946451380818207, 0.013945077918024927, 0.013943747933071916, 0.013942465840699915, 0.013941236004572961, 0.013940062730910922, 0.013938950262190363, 0.013937902770867226, 0.013936924353068586, 0.013936019022194608, 0.013935190702365534, 0.013934443221641588, 0.013933780304937294, 0.013933205566544279, 0.013932722502170021, 0.013932334480392643, 0.013932044733425296, 0.013931856347076572, 0.013931772249787956, 0.013931795200623577, 0.013931927776083529, 0.013932172355610051, 0.013932531105654785, 0.013933005962178809, 0.013933598611462832, 0.01393431046911605, 0.013935142657188525, 0.013936095979315161, 0.013937170893850864, 0.013938367484997076, 0.013939685431971594, 0.013941123976337462, 0.013942681887684358, 0.013944357427947338, 0.013946148314755318, 0.01394805168432375, 0.013950064054542565, 0.013952181289060041, 0.013954398563322343, 0.013956710333692503, 0.013959110310936402, 0.013961591439516861, 0.013964145884272706, 0.013966765026164016, 0.013969439468825569, 0.013972159057673935, 0.013974912913244705, 0.013977689480282759, 0.013980476593859035, 0.013983261563433722, 0.013986031275327755, 0.013988772313504714, 0.013991471097916527, 0.013994114038949287, 0.013996687705749172, 0.013999179005448753, 0.014001575369594704, 0.014003864943444123, 0.014006036773295085, 0.014008080986689649, 0.014009988960209815, 0.014011753469700688, 0.014013368818110579, 0.014014830936727228, 0.014016137456387944, 0.014017287746211736, 0.014018282918490135, 0.014019125799521049, 0.014019820867312113, 0.014020374158154464, 0.014020793145018326, 0.014021086591502356, 0.014021264385648238, 0.014021337358291848, 0.014021317090762942, 0.014021215716676605, 0.014021045722307812, 0.014020819749637089, 0.01402055040563889, 0.014020250080796198, 0.014019930779203469, 0.01401960396200299, 0.014019280405316695, 0.014018970073313427, 0.014018682006606087, 0.014018424225818451, 0.014018203649899712, 0.014018026028598923, 0.01401789588843359, 0.014017816491490025, 0.014017789806465515], [0.014051305009118121, 0.014051250184202686, 0.014051085840274443, 0.014050812369342424, 0.014050430423275088, 0.014049940911593225, 0.014049344998406347, 0.014048644098517497, 0.014047839872729334, 0.014046934222390598, 0.014045929283227693, 0.014044827418512679, 0.014043631211623714, 0.014042343458058801, 0.014040967156967985, 0.014039505502272993, 0.01403796187344626, 0.014036339826023937, 0.014034643081930016, 0.014032875519689795, 0.014031041164613022, 0.014029144179026972, 0.014027188852641754, 0.014025179593129255, 0.014023120916998498, 0.014021017440850317, 0.014018873873094393, 0.014016695006213151, 0.014014485709657482, 0.014012250923461117, 0.014009995652663211, 0.014007724962630964, 0.014005443975379304, 0.014003157866989625, 0.014000871866236754, 0.013998591254541948, 0.013996321367381045, 0.013994067597289772, 0.013991835398624431, 0.013989630294255642, 0.013987457884395715, 0.01398532385778725, 0.013983234005512973, 0.013981194237723598, 0.013979210603624521, 0.013977289315111779, 0.013975436774505592, 0.013973659606895119, 0.013971964697681903, 0.013970359235992054, 0.013968850764717398, 0.013967447238043473, 0.013966157087423853, 0.013964989297062778, 0.013963953490062894, 0.013963060026472809, 0.013962320114512268, 0.013961745936237037, 0.013961350788795283, 0.013961149242171607, 0.013961157313841885, 0.013961392659973822, 0.013961874781569166, 0.013962625242076109, 0.013963667890271153, 0.013965029078325591, 0.013966737859578049, 0.013968826143226481, 0.013971328773515828, 0.013974283488680716, 0.013977730699770667, 0.013981713011849471, 0.013986274391051753, 0.01399145886304096, 0.013997308615923118, 0.014003861380550894, 0.014011146983215065, 0.014019183022273295, 0.014027969724284587, 0.014037484196320902, 0.014047674508897323, 0.014058454299236616, 0.014069698831299871, 0.014081243611715095, 0.014092886644476091, 0.014104395124904497, 0.014115516787884809, 0.014125995293132758, 0.014135588119810531, 0.014144084705686209, 0.014151322255084378, 0.014157196903579014, 0.014161668732939888, 0.014164760261581453, 0.014166549176334663, 0.014167156925412363, 0.014166735189829926, 0.014165452183569554, 0.014163480323256407, 0.014160986235354438, 0.014158123499078159, 0.014155028066882546, 0.014151816007108822, 0.014148583069495964, 0.014145405549423638, 0.014142341977968802, 0.014139435253690101, 0.014136714930377083, 0.014134199465640804, 0.014131898309924612, 0.014129813772102567, 0.014127942637633489, 0.0141262775411696, 0.014124808110884342, 0.014123521909620068, 0.014122405200754839, 0.014121443566342857, 0.014120622402951833, 0.014119927317621269, 0.014119344443088698, 0.014118860688230204, 0.014118463936730013, 0.014118143204419738, 0.014117888763534182, 0.014117692240301537, 0.014117546690786041, 0.014117446658685244, 0.014117388217803376, 0.014117369001130073, 0.014117396595646823, 0.014117479578393708, 0.014117618548977088, 0.01411781451350533, 0.014118068894887379, 0.014118383547559597, 0.014118760776961798, 0.014119203364192805, 0.01411971459640003, 0.014120298303600431, 0.014120958902798519, 0.014121701450466101, 0.014122531704688432, 0.014123456198572162, 0.014124482326865605, 0.014125618448180822, 0.014126874005749693, 0.014128259670326463, 0.014129787509702309, 0.014131471190379085, 0.014133326218326097, 0.014135370227509462, 0.014137623327165257, 0.014140108521754048, 0.01414285222142493, 0.014145884865956672, 0.014149241691993428, 0.014152963682602446, 0.014157098750682464, 0.014161703224894455, 0.014166843730545445, 0.014172599591171632, 0.0141790659238592, 0.014186357669375638, 0.014194614897470528, 0.014204009874863198, 0.014214756605252321, 0.014227123891221256, 0.014241453501307908, 0.014258185879575195, 0.014277897236187918, 0.01430135421904301, 0.014329596468217114, 0.014364064724068428, 0.014406805915260595, 0.014460813475932427, 0.014530616148655095, 0.014623348169913356, 0.014750812711890257, 0.014933757871314422, 0.015211573274016696, 0.015666985402883953, 0.01649953496524104, 0.01829791881753931, 0.023445958803778984, 0.047591952620726019, 0.072589403887656265, 0.025907311989876402, 0.01797298289293783, 0.015822851355539541, 0.014986458847784368, 0.014587296109019016, 0.014370665800674384, 0.014242324470338413, 0.014161318178627464, 0.014107691248000553, 0.01407084977350756, 0.014044782739098326, 0.014025893263978104, 0.014011933538134501, 0.014001447192696245, 0.013993461452465732, 0.013987309428432326, 0.013982523551348722, 0.013978769529024262, 0.01397580422562306, 0.013973448110755264, 0.013971566830481428, 0.013970058631189207, 0.013968845622176183, 0.013967867606157012, 0.013967077658587575, 0.013966438917489886, 0.013965922223687506, 0.013965504366654799, 0.013965166767072976, 0.013964894477945305, 0.013964675420577565, 0.013964499795438524, 0.013964359624437516, 0.013964248392806161, 0.013964160767078265, 0.013964092371644381, 0.013964039610709481, 0.013963999525675275, 0.013963969680332677, 0.013963948068013089, 0.013963933036173545, 0.013963923224893754, 0.013963917516529128, 0.013963914994350082, 0.013963914908451697, 0.013963916647569146, 0.013963919715708749, 0.01396392371272061, 0.01396392831810778, 0.013963933277502182, 0.013963938391344431, 0.01396394350539026, 0.013963948502735097, 0.013963953297103794, 0.013963957827197265, 0.013963962051924161, 0.013963965946375601, 0.013963969498424938, 0.013963972705854803, 0.013963975573929798, 0.013963978113347007, 0.01396398033850773, 0.013963982266063083, 0.013963983913694286, 0.013963985299094664, 0.013963986439126552, 0.013963987349130626, 0.01396398804236941, 0.013963988529590615, 0.013963988818698687, 0.013963988914526161, 0.013963988818698692, 0.013963988529590616, 0.013963988042369407, 0.013963987349130623, 0.013963986439126563, 0.013963985299094666, 0.013963983913694295, 0.013963982266063085, 0.013963980338507723, 0.013963978113347006, 0.013963975573929796, 0.013963972705854815, 0.01396396949842494, 0.013963965946375596, 0.013963962051924156, 0.013963957827197259, 0.013963953297103801, 0.0139639485027351, 0.013963943505390257, 0.013963938391344431, 0.013963933277502186, 0.013963928318107784, 0.013963923712720617, 0.013963919715708746, 0.013963916647569141, 0.013963914908451704, 0.013963914994350079, 0.013963917516529124, 0.013963923224893763, 0.013963933036173532, 0.013963948068013095, 0.013963969680332675, 0.013963999525675282, 0.013964039610709477, 0.013964092371644388, 0.013964160767078272, 0.013964248392806165, 0.013964359624437518, 0.013964499795438524, 0.01396467542057756, 0.013964894477945305, 0.013965166767072977, 0.013965504366654797, 0.013965922223687505, 0.013966438917489891, 0.013967077658587583, 0.013967867606157012, 0.013968845622176183, 0.013970058631189212, 0.013971566830481426, 0.013973448110755259, 0.013975804225623062, 0.013978769529024264, 0.013982523551348722, 0.013987309428432326, 0.013993461452465746, 0.014001447192696243, 0.014011933538134498, 0.014025893263978106, 0.014044782739098313, 0.014070849773507534, 0.01410769124800056, 0.014161318178627444, 0.014242324470338416, 0.014370665800674403, 0.014587296109019036, 0.014986458847784104, 0.015822851355539444, 0.0179729828929346, 0.025907311989881759, 0.072589403887625831, 0.047591952620710636, 0.023445958803779164, 0.018297918817538211, 0.016499534965241307, 0.015666985402884186, 0.015211573274017098, 0.014933757871314613, 0.014750812711890307, 0.014623348169913444, 0.014530616148655091, 0.014460813475932453, 0.014406805915260609, 0.01436406472406845, 0.014329596468217128, 0.014301354219043008, 0.014277897236187925, 0.014258185879575199, 0.014241453501307916, 0.014227123891221258, 0.014214756605252322, 0.014204009874863203, 0.014194614897470528, 0.014186357669375644, 0.014179065923859195, 0.014172599591171635, 0.014166843730545451, 0.014161703224894457, 0.014157098750682471, 0.014152963682602444, 0.014149241691993431, 0.01414588486595666, 0.014142852221424931, 0.014140108521754046, 0.014137623327165259, 0.014135370227509467, 0.014133326218326086, 0.014131471190379084, 0.014129787509702302, 0.014128259670326463, 0.014126874005749692, 0.01412561844818082, 0.014124482326865605, 0.01412345619857215, 0.014122531704688428, 0.014121701450466092, 0.014120958902798516, 0.014120298303600431, 0.014119714596400029, 0.014119203364192808, 0.014118760776961791, 0.014118383547559595, 0.014118068894887379, 0.014117814513505328, 0.014117618548977078, 0.014117479578393705, 0.014117396595646824, 0.014117369001130083, 0.014117382794626106, 0.014117424229462917, 0.014117493468931611, 0.014117590786002778, 0.014117716564563468, 0.014117871301166898, 0.01411805560731311, 0.014118270212284352, 0.014118515966565253, 0.01411879384588427, 0.01411910495591976, 0.014119450537722209, 0.014119831973912304, 0.01412025079572474, 0.014120708690977599, 0.01412120751306028, 0.014121749291045862, 0.014122336241050314, 0.014122970778978294, 0.014123655534816478, 0.014124393368658842, 0.014125187388676276, 0.014126040971274506, 0.014126957783721866, 0.01412794180957188, 0.014128997377256397, 0.01413012919228538, 0.014131342373559085, 0.014132642494382827, 0.014134035628872462, 0.014135528404556813, 0.014137128062123472, 0.014138842523422552, 0.014140680469044957, 0.014142651427035321, 0.014144765874595297, 0.014147035354990877, 0.014149472612315847, 0.014152091747299691, 0.014154908398008936, 0.014157939950108145, 0.014161205782361583, 0.014164727554325343, 0.014168529544771078, 0.014172639051393132, 0.014177086864902211, 0.01418190783386967, 0.014187141540876913, 0.014192833115949431, 0.014199034220324628, 0.014205804242887022, 0.014213211763892133, 0.0142213363570002, 0.014230270822723235, 0.014240123976403795, 0.014251024155052453, 0.014263123664554719, 0.014276604469024784, 0.014291685538137221, 0.014308632432484817, 0.014327769946827442, 0.014349498986738259, 0.01437431939039973, 0.014402861230635354, 0.014435928421609939, 0.014474560517984777, 0.014520121976079976, 0.014574433837611771, 0.014639972659621678, 0.014720179180468267, 0.014819952053175208, 0.01494646566526156, 0.015110580708253061, 0.015329395327733301, 0.015631126813810504, 0.016065111328128406, 0.016724078813410315, 0.017799289082691239, 0.019736838727176593, 0.023766495882971309, 0.034117187822898423, 0.066963743342633733, 0.091187137183793496, 0.04215165821889473, 0.025007064049022473, 0.019432372068911852, 0.017110670173263516, 0.015957902538262552, 0.015313072931877475, 0.014920630861956167, 0.01466643361167712, 0.014493732482441136, 0.01437190060044637, 0.014283304740991414, 0.014217248807987448, 0.014166959833560479, 0.014127991972603096, 0.014097336428293607, 0.014072902805624843, 0.014053205309080155, 0.014037166584039945, 0.014023991546306836, 0.01401308415766021, 0.014003991285864506, 0.013996364068092562, 0.013989930836493778, 0.013984477833714475, 0.013979835271729496, 0.013975867116057871, 0.013972463506377136, 0.013969535068607231, 0.013967008601249317, 0.013964823771905412, 0.013962930564426611, 0.013961287289456659, 0.013959859021817157, 0.013958616364117183, 0.013957534461736984, 0.013956592213001252, 0.013955771632012844, 0.013955057331697465, 0.01395443610211548, 0.01395389656473095, 0.013953428887589294, 0.013953024549601935, 0.013952676144626846, 0.013952377217957479, 0.01395212212932642, 0.013951573409011932, 0.01395127335942355, 0.013951149505846718, 0.013951150848671254, 0.013951240812314889, 0.013951392659198994, 0.013951586449708918, 0.013951806993118708, 0.013952042446185758, 0.013952283342467446, 0.013952521912574253, 0.013952751603694977, 0.013952966737313235, 0.013953162263810492, 0.013953333585640349, 0.013953476429413707, 0.013953586753076831, 0.013953660678355545, 0.013953694441395763, 0.013953684356455031, 0.013953626788858768, 0.013953518134407256, 0.013953354803130834, 0.013953133205830024, 0.01395284974227475, 0.013952500790332672, 0.013952082695712185, 0.013951591762515071, 0.01395102424549919, 0.013950376346006836, 0.013949644215165457, 0.013948823970620073, 0.013947911737395889, 0.013946903730702969, 0.01394579641067506, 0.013944586759968822, 0.013943272771848297, 0.013941854302196311, 0.013940334560060441, 0.013938722741216899, 0.013937038760775929, 0.013935321964278257, 0.013933647676224556, 0.01393215993052975, 0.013931139588291164, 0.01393115554852308, 0.013933429386038969, 0.01394081578616534, 0.013960861365256169, 0.014017645347665461, 0.014216626994531589, 0.015454361227084641, 0.077221003424481946, 0.016560237503584652, 0.014752295025674262, 0.014370812280708507, 0.014223259883608484, 0.01414859644627358, 0.014104574847512964, 0.014075934063494493, 0.014055984207676148, 0.014041382422432766, 0.014030292214112193, 0.014021629465161179, 0.014014717098320872, 0.014009112632657528, 0.014004515918496227, 0.014000716901412115, 0.013997564620557791, 0.01399494805884223, 0.013992783900754717, 0.013991008469248681, 0.013989572274498693, 0.013988436242450853, 0.013987569051505397, 0.013986945217011734, 0.013986543690846689, 0.013986346822412975, 0.013986339577558814, 0.013986508944432895, 0.013986843476775441, 0.01398733293960106, 0.013987968032113529, 0.013988740169554981, 0.013989641310522688, 0.0139906638197323, 0.013991800358694101, 0.013993043798584237, 0.013994387150933804, 0.013995823512756592, 0.013997346023487761, 0.01399894783167519, 0.014000622069800668, 0.014002361835943108, 0.014004160181255413, 0.01400601010242844, 0.014007904538472804, 0.014009836371272731, 0.014011798429462012, 0.014013783495247518, 0.014015784313863619, 0.014017793605385487, 0.014019804078662877, 0.014021808447160932, 0.014023799446511397, 0.014025769853590261, 0.014027712506943787, 0.014029620328388627, 0.0140314863456115, 0.014033303715592254, 0.01403506574866981, 0.014036765933066674, 0.014038397959682149, 0.014039955746959551, 0.014041433465628389, 0.014042825563119114, 0.014044126787445654, 0.014045332210351258, 0.01404643724951358, 0.01404743768961002, 0.014048329702049433, 0.014049109863185324, 0.014049775170836814, 0.014050323058956522, 0.014050751410301513, 0.014051058566980336, 0.014051243338769916, 0.014051305009118121, 0.014051263892030538, 0.014051140658064648, 0.014050935658741456, 0.014050649478700458, 0.014050282933864636, 0.014049837068888569, 0.01404931315390597, 0.014048712680598048, 0.014048037357607819, 0.014047289105329683, 0.014046470050107172, 0.014045582517874971, 0.014044629027284298, 0.014043612282353096, 0.014042535164684549, 0.014041400725299469, 0.014040212176128192, 0.01403897288120985, 0.014037686347645692, 0.0140363562163539, 0.014034986252672275, 0.014033580336854222, 0.014032142454502256, 0.014030676686980881, 0.014029187201849027, 0.014027678243349689, 0.014026154122991184, 0.014024619210251797, 0.014023077923436015, 0.014021534720707021, 0.014019994091316414, 0.014018460547048098, 0.014016938613888981, 0.014015432823935341, 0.01401394770753886, 0.014012487785691755, 0.014011057562646327, 0.014009661518758862, 0.014008304103543196, 0.014006989728914366, 0.014005722762597315, 0.014004507521670645, 0.014003348266209676, 0.01400224919298774, 0.014001214429188655, 0.014000248026077482, 0.013999353952570397, 0.013998536088638295, 0.013997798218472171, 0.013997144023331623, 0.013996577073991092, 0.013996100822691733, 0.013995718594499903, 0.013995433577966938, 0.013995248814978434, 0.013995167189676246, 0.013995191416331139, 0.013995324026041235, 0.013995567352129768, 0.013995923514116205, 0.013996394400138792, 0.013996981647714355, 0.013997686622732958, 0.013998510396603639, 0.01399945372149209, 0.01400051700362424, 0.014001700274672395, 0.014003003161293737, 0.014004424852956377, 0.01400596406826686, 0.014007619020105014, 0.014009387379979411, 0.014011266242137435, 0.014013252088098276, 0.014015340752422599, 0.014017527390685715, 0.014019806450777368, 0.014022171648804309, 0.014024615951012934, 0.014027131563269438, 0.014029709929722113, 0.014032341742311948, 0.014035016962780795, 0.014037724858737272, 0.014040454055168147, 0.014043192602517246, 0.014045928062089316, 0.014048647609073654, 0.014051338152926102, 0.014053986474213466, 0.014056579376332467, 0.01405910384979546, 0.014061547246063894, 0.014063897457248524, 0.0140661430974267, 0.014068273680894359, 0.014070279792410628, 0.014072153244438551, 0.014073887216551197, 0.014075476372565893, 0.014076916951577987, 0.014078206829862581, 0.014079345551559893, 0.014080334327104498, 0.014081175999444509, 0.014081874979162601, 0.01408243715060007, 0.014082869751947386, 0.014083181232958873, 0.014083381094450679, 0.014083479714034711, 0.014083488162630758, 0.014083418016196586, 0.014083281166847107, 0.014083089637130548, 0.014082855400727491, 0.014082590212276879, 0.014082305448446818, 0.014082011961790869, 0.014081719948390307, 0.014081438829802092, 0.014081177149425431, 0.014080942483078941, 0.014080741363345898, 0.014080579217100353, 0.014080460315562723, 0.014080387736244152, 0.014080363336213394], [0.01408586894781398, 0.01408581477813298, 0.014085652398274454, 0.014085382195351801, 0.014085004813091082, 0.014084521149649361, 0.014083932354586352, 0.01408323982501427, 0.014082445200958291, 0.014081550359966473, 0.014080557411013359, 0.014079468687748186, 0.014078286741143146, 0.014077014331602035, 0.014075654420593761, 0.014074210161879156, 0.014072684892402191, 0.014071082122919663, 0.014069405528445518, 0.014067658938587489, 0.014065846327855337, 0.014063971806020347, 0.014062039608607364, 0.01406005408759994, 0.014058019702440479, 0.01405594101140731, 0.014053822663450722, 0.014051669390571416, 0.014049486000825227, 0.014047277372039754, 0.014045048446331016, 0.014042804225510658, 0.01404054976747891, 0.014038290183703497, 0.014036030637891475, 0.014033776345969234, 0.014031532577496774, 0.014029304658654703, 0.014027097976957822, 0.014024917987867891, 0.014022770223499707, 0.014020660303640563, 0.014018593949333535, 0.014016576999310011, 0.014014615429597931, 0.014012715376678775, 0.014010883164619911, 0.014009125336669322, 0.014007448691867012, 0.014005860327302238, 0.014004367686726088, 0.014002978616314402, 0.014001701428462869, 0.014000544974580129, 0.013999518727917087, 0.013998632877521443, 0.013997898434416404, 0.013997327351047939, 0.013996932654888784, 0.01399672859677953, 0.013996730814056616, 0.01399695650766818, 0.013997424631183076, 0.01399815608768608, 0.01399917392780867, 0.01400050353830168, 0.014002172805299378, 0.014004212229408501, 0.014006654960647718, 0.014009536709822678, 0.014012895479151109, 0.014016771039317859, 0.014021204063916255, 0.014026234817939565, 0.014031901288912798, 0.014038236653905701, 0.014045266001917918, 0.014053002289611993, 0.014061441609552881, 0.014070558000437536, 0.014080298224722057, 0.014090577159810991, 0.014101274650574621, 0.014112234785951841, 0.014123268510694852, 0.014134160197272334, 0.014144678263157287, 0.014154589187232348, 0.014163673509372181, 0.014171741803732305, 0.014178648402898526, 0.014184300925139798, 0.014188664376349783, 0.014191759571374817, 0.014193656580546467, 0.014194464616119945, 0.01419432009598643, 0.014193374557367515, 0.014191783744240164, 0.014189698707472153, 0.014187259273316153, 0.014184589845892451, 0.014181797251459748, 0.014178970203326962, 0.014176179938703726, 0.014173481617367379, 0.014170916144600599, 0.014168512163448197, 0.014166288038917377, 0.014164253721734639, 0.014162412429314139, 0.014160762117431809, 0.014159296739973069, 0.014158007308715477, 0.014156882772964697, 0.014155910742117852, 0.014155078074537888, 0.014154371354693976, 0.014153777278190789, 0.014153282961622427, 0.014152876191484443, 0.01415254562385297, 0.014152280944289993, 0.014152072995493901, 0.014151913878579841, 0.014151797032522791, 0.01415171729519096, 0.014151670948499858, 0.014151655749486451, 0.014151681743898083, 0.014151759914130965, 0.014151890823006663, 0.014152075414691188, 0.014152315024024855, 0.014152611389858268, 0.014152966672678718, 0.014153383476908152, 0.01415386487836316, 0.014154414457492694, 0.014155036339156647, 0.014155735239882037, 0.014156516523742032, 0.014157386268255056, 0.014158351342007857, 0.014159419496084015, 0.014160599471844665, 0.014161901128189259, 0.014163335592149901, 0.014164915437589427, 0.014166654897935022, 0.014168570120362827, 0.014170679470756946, 0.014173003901235713, 0.014175567395259447, 0.014178397509567715, 0.014181526037804459, 0.014184989828187756, 0.01418883179769459, 0.014193102199005801, 0.014197860215409714, 0.014203175985234944, 0.014209133194508753, 0.01421583242947194, 0.01422339555709152, 0.014231971513938397, 0.014241744051059029, 0.014252942236112762, 0.014265854906022014, 0.014280850881799827, 0.014298407755365544, 0.014319153710254917, 0.014343929650202402, 0.014373883848190489, 0.01441062031294052, 0.014456439081377453, 0.014514740366902324, 0.014590734980876312, 0.014692760245212388, 0.014834876241003825, 0.015042401667684805, 0.015364932887497563, 0.015911135687885013, 0.016959408540015285, 0.019410599188454829, 0.02751413338822423, 0.07087807841453031, 0.046945611317551317, 0.021675404651665162, 0.016947481383686621, 0.015461945526600865, 0.014835291337050862, 0.014521151702786022, 0.01434503727289688, 0.014238302056801582, 0.014169811464859218, 0.014123909015896599, 0.014092080336664453, 0.014069401712864228, 0.014052881451310902, 0.014040626335949099, 0.014031396878552527, 0.014024357878664887, 0.014018932492821925, 0.014014713714786237, 0.014011408970070322, 0.01400880447229438, 0.014006741730918355, 0.014005101731117608, 0.014003794073314708, 0.014002749387422528, 0.014001913950921143, 0.014001245815945735, 0.014000711986013808, 0.01400028633343791, 0.013999948046348852, 0.013999680459030628, 0.013999470162807595, 0.013999306324413542, 0.013999180159287621, 0.013999084521593722, 0.013999013582917637, 0.013998962578861131, 0.01399892760800223, 0.013998905471519728, 0.013998893544597824, 0.013998889672817125, 0.013998892088302378, 0.013998899341574503, 0.013998910245949046, 0.013998923832004944, 0.013998939310172759, 0.0139989560398967, 0.013998973504139964, 0.013998991288250159, 0.013999009062394187, 0.013999026566925869, 0.013999043600170303, 0.013999060008205918, 0.013999075676302312, 0.013999090521734432, 0.013999104487743413, 0.013999117538455341, 0.013999129654602115, 0.013999140829915324, 0.01399915106808642, 0.013999160380204384, 0.013999168782597025, 0.01399917629501461, 0.0139991829391046, 0.013999188737135092, 0.013999193710931413, 0.013999197880997055, 0.013999201265794677, 0.013999203881167715, 0.013999205739887055, 0.01399920685131046, 0.013999207221145622, 0.013999206851310463, 0.013999205739887057, 0.013999203881167713, 0.013999201265794677, 0.013999197880997063, 0.013999193710931418, 0.013999188737135099, 0.013999182939104607, 0.0139991762950146, 0.013999168782597025, 0.013999160380204384, 0.013999151068086428, 0.013999140829915326, 0.013999129654602115, 0.013999117538455338, 0.013999104487743413, 0.013999090521734443, 0.013999075676302316, 0.013999060008205912, 0.013999043600170303, 0.013999026566925874, 0.013999009062394195, 0.013998991288250164, 0.013998973504139959, 0.013998956039896693, 0.013998939310172766, 0.013998923832004944, 0.013998910245949042, 0.013998899341574512, 0.01399889208830237, 0.013998889672817132, 0.01399889354459782, 0.013998905471519732, 0.013998927608002226, 0.01399896257886114, 0.013999013582917642, 0.013999084521593725, 0.01399918015928762, 0.013999306324413542, 0.01399947016280759, 0.013999680459030632, 0.013999948046348857, 0.014000286333437905, 0.014000711986013808, 0.01400124581594574, 0.014001913950921147, 0.014002749387422528, 0.01400379407331471, 0.014005101731117608, 0.014006741730918348, 0.01400880447229438, 0.014011408970070324, 0.01401471371478624, 0.014018932492821927, 0.014024357878664889, 0.014031396878552538, 0.014040626335949095, 0.014052881451310893, 0.014069401712864232, 0.014092080336664434, 0.014123909015896571, 0.014169811464859228, 0.014238302056801549, 0.014345037272896906, 0.014521151702786048, 0.014835291337050888, 0.015461945526600501, 0.016947481383686298, 0.021675404651657033, 0.046945611317569282, 0.07087807841455436, 0.027514133388220018, 0.019410599188454971, 0.016959408540014726, 0.015911135687885165, 0.01536493288749774, 0.015042401667685093, 0.014834876241003974, 0.014692760245212424, 0.014590734980876385, 0.014514740366902324, 0.014456439081377472, 0.014410620312940532, 0.01437388384819051, 0.014343929650202413, 0.014319153710254919, 0.014298407755365549, 0.014280850881799832, 0.014265854906022024, 0.014252942236112769, 0.014241744051059029, 0.014231971513938405, 0.014223395557091524, 0.014215832429471942, 0.014209133194508755, 0.014203175985234949, 0.014197860215409721, 0.014193102199005802, 0.014188831797694593, 0.014184989828187755, 0.014181526037804461, 0.01417839750956771, 0.014175567395259452, 0.014173003901235715, 0.014170679470756951, 0.014168570120362831, 0.014166654897935014, 0.014164915437589423, 0.014163335592149892, 0.014161901128189259, 0.014160599471844665, 0.014159419496084012, 0.014158351342007856, 0.014157386268255048, 0.014156516523742037, 0.014155735239882034, 0.014155036339156647, 0.014154414457492692, 0.01415386487836316, 0.014153383476908157, 0.014152966672678711, 0.014152611389858273, 0.014152315024024857, 0.014152075414691186, 0.01415189082300666, 0.014151759914130962, 0.014151681743898081, 0.014151655749486463, 0.014151668743176801, 0.014151707775469227, 0.014151773000249435, 0.014151864674734104, 0.014151983160589599, 0.014152128925513921, 0.014152302545298345, 0.014152504706389589, 0.014152736208979286, 0.014152997970652949, 0.014153291030636924, 0.014153616554688679, 0.014153975840683227, 0.014154370324957284, 0.014154801589481302, 0.014155271369941295, 0.014155781564823179, 0.014156334245606993, 0.014156931668193089, 0.014157576285700886, 0.014158270762800679, 0.014159017991763289, 0.014159821110439031, 0.014160683522409781, 0.014161608919594667, 0.014162601307633081, 0.014163665034419629, 0.014164804822224588, 0.014166025803904048, 0.0141673335637864, 0.01416873418392017, 0.014170234296485052, 0.01417184114330744, 0.014173562643588763, 0.014175407471155586, 0.014177385142782696, 0.014179506119433367, 0.014181781922617284, 0.014184225268501471, 0.014186850222942464, 0.014189672381263901, 0.0141927090774148, 0.01419597962815221, 0.014199505619150104, 0.01420331124151745, 0.014207423689202428, 0.014211873630293175, 0.014216695768459589, 0.014221929514939504, 0.0142276197968531, 0.014233818034642331, 0.014240583330639434, 0.014247983922953011, 0.014256098975119955, 0.014265020793861201, 0.0142748575970288, 0.014285736994667472, 0.014297810402772641, 0.014311258688839493, 0.014326299461262147, 0.014343196577253971, 0.01436227268138752, 0.014383925938869982, 0.014408652658328268, 0.014437078313431443, 0.014470000747936512, 0.014508451388973264, 0.014553783636242002, 0.014607803218487694, 0.014672965051540766, 0.014752678576571168, 0.014851795972442714, 0.014977420468213945, 0.015140299818293505, 0.01535734512040518, 0.015656447564467865, 0.01608633792275823, 0.016738530567293006, 0.017801587938700399, 0.019714792448631422, 0.023687585170858151, 0.033877389435652598, 0.066351312041322816, 0.091806245671788536, 0.042365512398929911, 0.02504663646547357, 0.019449370696710523, 0.017127097425093243, 0.015976915827610825, 0.015334702972130538, 0.014944420150358951, 0.014691933897200454, 0.01452058533491276, 0.014399832576118675, 0.014312108705986851, 0.014246766857767953, 0.014197070241763834, 0.014158599709181863, 0.014128366355131131, 0.014104294782563635, 0.014084910644396955, 0.0140691454317523, 0.014056210975061536, 0.014045516700760669, 0.01403661383987477, 0.01402915704689966, 0.014022877514725106, 0.01401756383206553, 0.014013048149769912, 0.01400919604725627, 0.01400589901661981, 0.014003068824190524, 0.014000633235747399, 0.013998532743829624, 0.013996718039456882, 0.013995148042421102, 0.013993788354649166, 0.013992610036821597, 0.013991588634011296, 0.013990703394633807, 0.013989936640549584, 0.013989273256158829, 0.013988700271773616, 0.013988206522138944, 0.013987782365198783, 0.013987419449421624, 0.013987110520468495, 0.013986849259891524, 0.013986299652061527, 0.013986016874763979, 0.013985921137024227, 0.013985956776101155, 0.013986084217319207, 0.013986274786670607, 0.01398650729699371, 0.013986765762049094, 0.013987037842473658, 0.013987313775255698, 0.01398758562782814, 0.013987846773251435, 0.013988091517913196, 0.013988314835632579, 0.013988512176725159, 0.01398867933030417, 0.013988812324622752, 0.013988907354700554, 0.013988960729530844, 0.013988968833286052, 0.013988928096431649, 0.013988834973721796, 0.013988685926823882, 0.013988477409902951, 0.013988205856967259, 0.013987867670197909, 0.013987459208925995, 0.01398697677945741, 0.013986416626688598, 0.013985774929568935, 0.013985047804210947, 0.013984231321261172, 0.013983321548760565, 0.013982314639422932, 0.013981206994312838, 0.013979995557430368, 0.013978678335378716, 0.013977255307786342, 0.013975730026499392, 0.013974112454185743, 0.013972424092664096, 0.013970707481229264, 0.013969044373338985, 0.013967592003185146, 0.013966659368468793, 0.013966878809238404, 0.013969626753716803, 0.013978180331918524, 0.014001438720755498, 0.014069013799299481, 0.014320853354250939, 0.016203256324402785, 0.051500071398904758, 0.015964614334184689, 0.014684400340085127, 0.014370365309735797, 0.014241566432603152, 0.014174307633559558, 0.014133863291625453, 0.014107193298628265, 0.014088434066622055, 0.014074602239686675, 0.014064036539380405, 0.014055745945463695, 0.014049106323403343, 0.014043706998052255, 0.014039267811792076, 0.014035591762628034, 0.014032536691073821, 0.014029997682325367, 0.01402789575566807, 0.014026170379835688, 0.014024774391822953, 0.014023670468473907, 0.014022828626567072, 0.014022224419503911, 0.01402183761539273, 0.014021651213930543, 0.014021650705727815, 0.014021823507795557, 0.014022158528851714, 0.014022645831555479, 0.014023276368000883, 0.014024041771219943, 0.014024934189974603, 0.014025946157353881, 0.014027070486034602, 0.014028300184776616, 0.014029628391990012, 0.014031048323156792, 0.014032553229601346, 0.01403413636664513, 0.014035790969594678, 0.014037510236331031, 0.014039287315516043, 0.014041115299623293, 0.014042987222151974, 0.014044896058499672, 0.014046834730061793, 0.014048796111197538, 0.0140507730387575, 0.014052758323910654, 0.014054744766040619, 0.014056725168504624, 0.014058692356064712, 0.014060639193812334, 0.014062558607413117, 0.014064443604501615, 0.014066287297055537, 0.014068082924576768, 0.014069823877902168, 0.014071503723463059, 0.014073116227806722, 0.014074655382188083, 0.014076115427035709, 0.014077490876092317, 0.014078776540028063, 0.01407996754932455, 0.014081059376228276, 0.01408204785557696, 0.014082929204307142, 0.014083700039460446, 0.014084357394516835, 0.01408489873389584, 0.014085321965483569, 0.014085625451059925, 0.014085808014521103, 0.01408586894781398, 0.014085828322139671, 0.014085706561037928, 0.014085504011907272, 0.014085221252531543, 0.014084859089267565, 0.014084418554524752, 0.0140839009035528, 0.014083307610558659, 0.014082640364177597, 0.014081901062327219, 0.014081091806477148, 0.014080214895369881, 0.014079272818231559, 0.01407826824751345, 0.014077204031207321, 0.014076083184779487, 0.014074908882768796, 0.014073684450095656, 0.01407241335312822, 0.014071099190552614, 0.014069745684092918, 0.014068356669125631, 0.014066936085232334, 0.014065487966731701, 0.014064016433230492, 0.014062525680230423, 0.014061019969824964, 0.014059503621516997, 0.014057981003185099, 0.014056456522222652, 0.014054934616869894, 0.014053419747755659, 0.014051916389660692, 0.014050429023511049, 0.01404896212860496, 0.014047520175072143, 0.014046107616560517, 0.014044728883139616, 0.014043388374405738, 0.01404209045276871, 0.014040839436894862, 0.014039639595275835, 0.014038495139887086, 0.014037410219894689, 0.014036388915363122, 0.014035435230910821, 0.014034553089254309, 0.014033746324575389, 0.014033018675639424, 0.01403237377858645, 0.014031815159310007, 0.014031346225332288, 0.01403097025707755, 0.01403069039843983, 0.014030509646534902, 0.014030430840521985, 0.014030456649376176, 0.014030589558490392, 0.01403083185498483, 0.014031185611603679, 0.014031652669083785, 0.014032234616888972, 0.014032932772217097, 0.014033748157206751, 0.014034681474296925, 0.014035733079727651, 0.014036902955213719, 0.014038190677878339, 0.01403959538860019, 0.014041115759006623, 0.014042749957438391, 0.014044495614317757, 0.014046349787471334, 0.014048308928090388, 0.014050368848152573, 0.014052524690275899, 0.014054770901124199, 0.014057101209625762, 0.014059508611395785, 0.014061985360858474, 0.014064522972635437, 0.014067112233790443, 0.014069743228485102, 0.01407240537649267, 0.014075087486828012, 0.014077777827472666, 0.014080464211800722, 0.014083134101846582, 0.014085774728005622, 0.014088373224140215, 0.014090916776397544, 0.014093392783363027, 0.014095789024508141, 0.014098093833285223, 0.014100296270713554, 0.014102386294931919, 0.014104354921994629, 0.01410619437318901, 0.014107898204363013, 0.014109461413175541, 0.014110880520803394, 0.014112153625429651, 0.01411328042575888, 0.014114262213804872, 0.014115101837221698, 0.014115803632442714, 0.014116373330801998, 0.014116817940594035, 0.014117145608644213, 0.014117365465394325, 0.014117487457743416, 0.01411752217393031, 0.014117480664614029, 0.014117374264028083, 0.014117214414683938, 0.014117012498613118, 0.014116779677601249, 0.014116526744314481, 0.014116263985679127, 0.014116001059374227, 0.014115746883853678, 0.014115509541942801, 0.014115296197763071, 0.014115113026528917, 0.014114965156633694, 0.014114856623389864, 0.014114790333805121, 0.014114768041851503], [0.014097276918430351, 0.01409722342101446, 0.014097063056281665, 0.014096796206341921, 0.014096423506599688, 0.014095945843598448, 0.014095364352028697, 0.014094680410924119, 0.014093895639078046, 0.014093011889718626, 0.014092031244486585, 0.014090956006765944, 0.014089788694422605, 0.014088532032010577, 0.014087188942509708, 0.014085762538662529, 0.014084256113980918, 0.014082673133495476, 0.014081017224323441, 0.01407929216613165, 0.014077501881573268, 0.014075650426776953, 0.014073741981968832, 0.014071780842307098, 0.014069771409010071, 0.014067718180858647, 0.014065625746154296, 0.014063498775214891, 0.014061342013491114, 0.014059160275387854, 0.014056958438877439, 0.014054741440993659, 0.01405251427430023, 0.014050281984432002, 0.014048049668813695, 0.014045822476668966, 0.014043605610442907, 0.014041404328772987, 0.014039223951158048, 0.014037069864492968, 0.014034947531656981, 0.014032862502368262, 0.014030820426546214, 0.014028827070455689, 0.014026888335945994, 0.014025010283140849, 0.014023199156985354, 0.014021461418111275, 0.014019803778543541, 0.014018233242838126, 0.014016757155312738, 0.014015383254105977, 0.014014119732873555, 0.014012975310997159, 0.014011959313233581, 0.014011081759757181, 0.014010353467529565, 0.014009786163840314, 0.014009392612666411, 0.014009186754144479, 0.014009183856870949, 0.014009400681847025, 0.014009855655546228, 0.014010569047642479, 0.01401156314619733, 0.014012862419324095, 0.014014493647247541, 0.014016486001969433, 0.014018871043174345, 0.014021682588423892, 0.014024956403209389, 0.014028729642655002, 0.014033039962964641, 0.014037924209635559, 0.014043416585166894, 0.014049546207537112, 0.014056334000074836, 0.014063788912609182, 0.014071903571232837, 0.01408064959346564, 0.014089972981176669, 0.014099790193759097, 0.014109985667333229, 0.014120411622289632, 0.014130890924108614, 0.014141223479359743, 0.01415119615378364, 0.014160595556767117, 0.01416922238503312, 0.014176905540454969, 0.014183514097279328, 0.014188965470653261, 0.014193228780703821, 0.014196323246601391, 0.014198312259517386, 0.01419929437553798, 0.014199392733255505, 0.014198744339180737, 0.014197490364925019, 0.014195768187148947, 0.014193705488734552, 0.014191416404402002, 0.014188999469367743, 0.014186537013954066, 0.014184095618184549, 0.014181727269222035, 0.014179470924012423, 0.014177354249162114, 0.014175395376715253, 0.014173604571199736, 0.014171985747647914, 0.014170537812585825, 0.0141692558219255, 0.014168131963473028, 0.014167156379514809, 0.014166317848498429, 0.014165604345629997, 0.014165003501342208, 0.014164502974803147, 0.01416409075744394, 0.014163755419205289, 0.014163486308030493, 0.014163273711166428, 0.014163108985118134, 0.014162984659642922, 0.014162894519952049, 0.014162833670284921, 0.01416279858120033, 0.014162787122257346, 0.014162811607487145, 0.014162885238982282, 0.01416300854581878, 0.014163182415353276, 0.014163408101687815, 0.014163687237764476, 0.014164021851342296, 0.014164414385195032, 0.014164867721964484, 0.014165385214214454, 0.014165970720359956, 0.014166628647297837, 0.014167364000747109, 0.014168182444526164, 0.014169090370259653, 0.014170094979333882, 0.014171204379319815, 0.01417242769758083, 0.014173775215402185, 0.014175258526758947, 0.014176890726823266, 0.014178686636563924, 0.014180663071393753, 0.014182839163885567, 0.014185236753257828, 0.01418788085783671, 0.01419080025132094, 0.014194028169815454, 0.014197603184830298, 0.014201570288579561, 0.014205982253135284, 0.014210901346014411, 0.014216401514140695, 0.014222571189639136, 0.014229516930383797, 0.014237368194589779, 0.01424628367610734, 0.014256459818004904, 0.014268142413397331, 0.014281642655876026, 0.01429735972268883, 0.014315813147010839, 0.014337690195683709, 0.014363916839991515, 0.014395766897434168, 0.014435034966041614, 0.014484320003484034, 0.014547509232906486, 0.01463064343881222, 0.014743552996163183, 0.014903167764202464, 0.015140799998660344, 0.01551998099067897, 0.016186793902278802, 0.017542796562656757, 0.021040211007933577, 0.034892958777878694, 0.088951744826870974, 0.032227221309532081, 0.019208247969435596, 0.016232372638218109, 0.015176596046184499, 0.014699613242047448, 0.014450001598316411, 0.014305940789706215, 0.014216812705153742, 0.014158747829664935, 0.014119388758902653, 0.014091862263971751, 0.014072121943155361, 0.014057673230817649, 0.014046918506419471, 0.014038801306784461, 0.014032603735492701, 0.014027826403784527, 0.014024114792786598, 0.014021212717345223, 0.014018932135189904, 0.014017133100477086, 0.014015710175190545, 0.014014583045914015, 0.01401368993555371, 0.014012982907148898, 0.014012424470151712, 0.014011985097061159, 0.014011641385276755, 0.014011374682147772, 0.014011170046489276, 0.014011015457185892, 0.014010901205087177, 0.014010819422149696, 0.014010763714247896, 0.014010728872929784, 0.014010710647747988, 0.014010705565402331, 0.014010710785299061, 0.014010723983617331, 0.014010743259822921, 0.014010767060954624, 0.014010794120055835, 0.014010823405919009, 0.014010854081919533, 0.014010885472184615, 0.014010917033704936, 0.014010948333280681, 0.014010979028413521, 0.014011008851431318, 0.014011037596269316, 0.014011065107441203, 0.014011091270820461, 0.014011116005922563, 0.014011139259434322, 0.01401116099978258, 0.014011181212570912, 0.014011199896742916, 0.014011217061355321, 0.014011232722864021, 0.01401124690284262, 0.014011259626066837, 0.014011270918909215, 0.014011280807998234, 0.014011289319103445, 0.014011296476215402, 0.014011302300794431, 0.014011306811167088, 0.014011310022053794, 0.014011311944214264, 0.014011312584201033, 0.014011311944214266, 0.014011310022053799, 0.014011306811167091, 0.014011302300794431, 0.014011296476215414, 0.014011289319103448, 0.01401128080799824, 0.014011270918909219, 0.014011259626066832, 0.014011246902842622, 0.014011232722864026, 0.01401121706135533, 0.014011199896742918, 0.014011181212570912, 0.014011160999782573, 0.014011139259434317, 0.014011116005922569, 0.01401109127082047, 0.014011065107441198, 0.014011037596269317, 0.014011008851431328, 0.014010979028413527, 0.014010948333280685, 0.014010917033704934, 0.014010885472184608, 0.014010854081919542, 0.014010823405919002, 0.014010794120055833, 0.014010767060954624, 0.014010743259822912, 0.014010723983617338, 0.014010710785299058, 0.014010705565402333, 0.014010710647747985, 0.014010728872929793, 0.014010763714247903, 0.014010819422149696, 0.014010901205087184, 0.01401101545718589, 0.014011170046489278, 0.014011374682147776, 0.014011641385276758, 0.014011985097061157, 0.014012424470151707, 0.014012982907148905, 0.014013689935553715, 0.014014583045914013, 0.014015710175190547, 0.014017133100477088, 0.014018932135189897, 0.01402121271734522, 0.014024114792786596, 0.014027826403784523, 0.014032603735492703, 0.014038801306784456, 0.014046918506419478, 0.014057673230817644, 0.014072121943155354, 0.014091862263971751, 0.01411938875890263, 0.014158747829664902, 0.014216812705153755, 0.014305940789706175, 0.01445000159831643, 0.014699613242047478, 0.015176596046184548, 0.016232372638217283, 0.019208247969435356, 0.032227221309505893, 0.088951744826871473, 0.034892958777889317, 0.021040211007931946, 0.017542796562656858, 0.016186793902278517, 0.015519980990679066, 0.015140799998660465, 0.014903167764202689, 0.014743552996163296, 0.014630643438812249, 0.014547509232906548, 0.014484320003484027, 0.01443503496604163, 0.014395766897434176, 0.014363916839991525, 0.014337690195683716, 0.014315813147010834, 0.014297359722688831, 0.014281642655876028, 0.014268142413397345, 0.014256459818004908, 0.01424628367610734, 0.014237368194589782, 0.014229516930383799, 0.014222571189639138, 0.014216401514140692, 0.014210901346014415, 0.014205982253135291, 0.014201570288579567, 0.014197603184830309, 0.014194028169815454, 0.014190800251320941, 0.014187880857836704, 0.014185236753257835, 0.014182839163885566, 0.014180663071393753, 0.014178686636563921, 0.014176890726823261, 0.014175258526758949, 0.014173775215402184, 0.01417242769758083, 0.014171204379319815, 0.014170094979333882, 0.014169090370259652, 0.014168182444526159, 0.014167364000747111, 0.014166628647297834, 0.014165970720359959, 0.014165385214214454, 0.014164867721964479, 0.014164414385195037, 0.014164021851342292, 0.014163687237764478, 0.01416340810168782, 0.014163182415353267, 0.014163008545818777, 0.014162885238982282, 0.01416281160748714, 0.01416278712225735, 0.014162799361582894, 0.014162836127906683, 0.014162897566470723, 0.014162983920015694, 0.014163095529793862, 0.014163232837001336, 0.014163396384644108, 0.014163586819856418, 0.014163804896695322, 0.014164051479439986, 0.01416432754642972, 0.014164634194481123, 0.014164972643930943, 0.014165344244359055, 0.014165750481053598, 0.014166192982290311, 0.014166673527507782, 0.014167194056472876, 0.014167756679543448, 0.014168363689151408, 0.014169017572646356, 0.014169721026661038, 0.014170476973182484, 0.014171288577540728, 0.014172159268558013, 0.01417309276113838, 0.014174093081620655, 0.014175164596267791, 0.014176312043325135, 0.014177540569149563, 0.014178855768993987, 0.014180263733129408, 0.014181771099102961, 0.014183385111069211, 0.014185113687297756, 0.014186965497160524, 0.014188950049142264, 0.014191077791709847, 0.014193360229230055, 0.014195810055558165, 0.01419844130844963, 0.01420126954859934, 0.014204312067920012, 0.014207588132673237, 0.014211119268318737, 0.014214929594518234, 0.014219046220713964, 0.01422349971521931, 0.014228324663974714, 0.014233560339255141, 0.014239251503963416, 0.014245449384113193, 0.014252212851254649, 0.014259609868703624, 0.014267719271589424, 0.014276632972484379, 0.014286458713930528, 0.014297323529742091, 0.014309378133235785, 0.014322802529508303, 0.014337813261055554, 0.014354672857491479, 0.014373702295848119, 0.014395297627393555, 0.014419952453643732, 0.014448288742689747, 0.014481099742509856, 0.014519410772390405, 0.014564566990168623, 0.014618362811795739, 0.014683237323543616, 0.014762577327509555, 0.014861201804076676, 0.01498616387027425, 0.015148133038208403, 0.015363893263324994, 0.015661119001006647, 0.016088149403448469, 0.016735738335401852, 0.017790831348724667, 0.019688856570807003, 0.023628719874018586, 0.033736593062257535, 0.066088453399249944, 0.092094084529412742, 0.042351265899809178, 0.025004765357167235, 0.019422126624473332, 0.017111146453466747, 0.01596822292633188, 0.01533076143339727, 0.014943721560366666, 0.014693540347254059, 0.014523889071248301, 0.014404424186954866, 0.014317702777881412, 0.014253158415149136, 0.014204108236085687, 0.014166170310040537, 0.014136382082808071, 0.014112687238808938, 0.014093625527043293, 0.014078139038497009, 0.01406544770209698, 0.014054967220709093, 0.014046253752825826, 0.014038965866899364, 0.014032837898027773, 0.01402766098224092, 0.014023269353962389, 0.014019530310931356, 0.014016336773129716, 0.014013601701789098, 0.014011253869157426, 0.014009234620680567, 0.014007495374250624, 0.014005995672404393, 0.014004701653250866, 0.014003584841272511, 0.014002621184492133, 0.01400179028285181, 0.014001074766072184, 0.014000459789164518, 0.01399993262113965, 0.01399948230798927, 0.013999099395197192, 0.013998775698224043, 0.013998504111851037, 0.013997943990859553, 0.013997671860006014, 0.013997599539626107, 0.013997666041379917, 0.013997828373201012, 0.013998055655418578, 0.013998325277104413, 0.01399862033946715, 0.013998927928300377, 0.013999237930498313, 0.013999542213597485, 0.013999834051164631, 0.014000107716885464, 0.014000358195771116, 0.014000580977492858, 0.014000771907793426, 0.014000927081231466, 0.014001042763461671, 0.01400111533463904, 0.014001141247879498, 0.014001116998350271, 0.014001039099728389, 0.014000904065609499, 0.014000708394082606, 0.014000448554192772, 0.014000120973465563, 0.013999722026133954, 0.013999248022276823, 0.013998695198862304, 0.013998059714865519, 0.013997337654479363, 0.013996525045424113, 0.013995617904281891, 0.013994612329016992, 0.0139935046728573, 0.013992291857995625, 0.01399097193052647, 0.013989545035840028, 0.013988015138516852, 0.013986393088925301, 0.01398470219277001, 0.013982988591087063, 0.013981341271966289, 0.013979932356209264, 0.013979102762581779, 0.013979557528207804, 0.013982853199509667, 0.013992769147372623, 0.014019866481749682, 0.014100929294038956, 0.014425427744342939, 0.017497123909674877, 0.030210518402092962, 0.015557184951090271, 0.014613657124882409, 0.014351713204072386, 0.014238542276310329, 0.014177714641052138, 0.014140459735106244, 0.014115579088429045, 0.0140979154254448, 0.014084799407363797, 0.014074725311581236, 0.014066785826815495, 0.014060404911844068, 0.014055201028510728, 0.014050912463722569, 0.014047354330359708, 0.014044392680725961, 0.014041928319488344, 0.01403988634515246, 0.014038209197406209, 0.014036851917893041, 0.014035778847357365, 0.014034961277969269, 0.01403437575491049, 0.01403400282809442, 0.014033826121619235, 0.014033831631205643, 0.014034007187704665, 0.014034342043269882, 0.01403482654931223, 0.014035451903964108, 0.014036209952786099, 0.014037093030696796, 0.014038093836148719, 0.014039205330778709, 0.014040420659376765, 0.014041733086214484, 0.014043135944668564, 0.014044622597750304, 0.014046186407665213, 0.014047820712920619, 0.014049518811802789, 0.014051273951280739, 0.014053079320577543, 0.014054928048793639, 0.014056813206079107, 0.014058727807939701, 0.014060664822330204, 0.014062617179241675, 0.014064577782529794, 0.014066539523762064, 0.014068495297884148, 0.014070438020520664, 0.014072360646736771, 0.014074256191091985, 0.014076117748820003, 0.014077938517968109, 0.014079711822326844, 0.014081431134976511, 0.014083090102272528, 0.014084682568086147, 0.01408620259811187, 0.014087644504048397, 0.014089002867456507, 0.014090272563094735, 0.014091448781533638, 0.014092527050849976, 0.014093503257206756, 0.014094373664130005, 0.014095134930301921, 0.014095784125700698, 0.014096318745930156, 0.014096736724598439, 0.014097036443621855, 0.014097216741350081, 0.014097276918430351, 0.014097236796941812, 0.014097116546988565, 0.014096916511747392, 0.014096637261981447, 0.014096279594251146, 0.01409584452842607, 0.014095333304513916, 0.014094747378827228, 0.014094088419512664, 0.014093358301471164, 0.014092559100701313, 0.014091693088101081, 0.014090762722766017, 0.014089770644824442, 0.014088719667852008, 0.014087612770909972, 0.014086453090251864, 0.014085243910744946, 0.014083988657052128, 0.014082690884620339, 0.01408135427052069, 0.014079982604184273, 0.014078579778076937, 0.014077149778353285, 0.014075696675529064, 0.014074224615208223, 0.014072737808898006, 0.014071240524942477, 0.01406973707960167, 0.014068231828299914, 0.014066729157063071, 0.014065233474160711, 0.014063749201964801, 0.014062280769032652, 0.014060832602417325, 0.014059409120203811, 0.01405801472426552, 0.014056653793230008, 0.01405533067563851, 0.014054049683278733, 0.014052815084665228, 0.014051631098636481, 0.01405050188803237, 0.014049431553410248, 0.01404842412675212, 0.014047483565109523, 0.014046613744126905, 0.014045818451377753, 0.014045101379442005, 0.014044466118646484, 0.014043916149383851, 0.014043454833919465, 0.014043085407589096, 0.014042810969284933, 0.014042634471121768, 0.014042558707171202, 0.01404258630114784, 0.014042719692930092, 0.014042961123798105, 0.014043312620274149, 0.014043775976456738, 0.014044352734750092, 0.01404504416490511, 0.014045851241309379, 0.014046774618491383, 0.014047814604840534, 0.014048971134589888, 0.014050243738164535, 0.014051631511066191, 0.014053133081544421, 0.014054746577397465, 0.014056469592351514, 0.014058299152584764, 0.014060231684091113, 0.014062262981715005, 0.014064388180829697, 0.014066601732771319, 0.014068897385273641, 0.014071268169265105, 0.014073706393480819, 0.014076203648397331, 0.014078750821004482, 0.01408133812187618, 0.014083955125877902, 0.014086590827645009, 0.014089233712675838, 0.014091871844503823, 0.014094492967948629, 0.014097084627904419, 0.014099634302521986, 0.014102129549002492, 0.014104558159574289, 0.014106908324604933, 0.014109168799246348, 0.014111329069560148, 0.014113379513758907, 0.014115311554056643, 0.01411711779467153, 0.01411879214177277, 0.014120329901611391, 0.014121727853703712, 0.014122984296716518, 0.014124099065595303, 0.014125073519432424, 0.01412591050053863, 0.014126614266107175, 0.014127190394695812, 0.01412764567045933, 0.01412798794861213, 0.014128226005970253, 0.014128369380608029, 0.014128428204673698, 0.014128413034256132, 0.014128334679906202, 0.014128204041021311, 0.014128031946831937, 0.014127829006218388, 0.014127605468064599, 0.014127371093351226, 0.014127135039724771, 0.014126905758871279, 0.014126690906682296, 0.014126497265937012, 0.01412633068103584, 0.014126196004210164, 0.014126097052590941, 0.014126036575540468, 0.0141260162317272], [0.014089627601616524, 0.014089574783392228, 0.014089416454551232, 0.014089152992159848, 0.014088785023234209, 0.014088313422611243, 0.014087739309993508, 0.014087064046192267, 0.014086289228600645, 0.01408541668593488, 0.014084448472287164, 0.014083386860539863, 0.01408223433519556, 0.014080993584682049, 0.014079667493195438, 0.014078259132148468, 0.014076771751293772, 0.014075208769594463, 0.014073573765916884, 0.014071870469621387, 0.014070102751128815, 0.014068274612540742, 0.014066390178392733, 0.014064453686619672, 0.014062469479812949, 0.014060441996849587, 0.0140583757649733, 0.01405627539240884, 0.014054145561591127, 0.014051991023092516, 0.014049816590333521, 0.014047627135164742, 0.014045427584411786, 0.014043222917479841, 0.014041018165120463, 0.014038818409470978, 0.01403662878548673, 0.014034454483897738, 0.014032300755835378, 0.01403017291929174, 0.014028076367593765, 0.014026016580097623, 0.014023999135335937, 0.01402202972688146, 0.014020114182226848, 0.014018258485020722, 0.014016468801046074, 0.014014751508378099, 0.014013113232214294, 0.014011560884929882, 0.014010101711974591, 0.014008743344290205, 0.014007493857988575, 0.01400636184208116, 0.014005356475084036, 0.014004487611325412, 0.014003765877736518, 0.014003202781785401, 0.014002810830981618, 0.014002603663986932, 0.014002596192747088, 0.014002804754122277, 0.014003247268122975, 0.014003943397904504, 0.014004914703954692, 0.014006184781206842, 0.014007779362884167, 0.014009726368490294, 0.014012055865312983, 0.014014799903046627, 0.014017992169880877, 0.014021667406339124, 0.014025860501731904, 0.014030605189855333, 0.014035932259487346, 0.014041867206925083, 0.014048427289362694, 0.014055617997051573, 0.014063429055291803, 0.01407183019605711, 0.014080767095838765, 0.01409015803939126, 0.014099891999887501, 0.014109828871677364, 0.014119802496368673, 0.014129626847471934, 0.014139105286694834, 0.014148042240533731, 0.014156256093644777, 0.014163591710902482, 0.01416993091609128, 0.014175199526823487, 0.014179370119216193, 0.014182460424189179, 0.014184527951151518, 0.01418566193245894, 0.014185973898746321, 0.014185588137137269, 0.014184633026325161, 0.014183233888613275, 0.014181507644821446, 0.014179559268273476, 0.014177479837537376, 0.01417534588365655, 0.014173219698367273, 0.014171150291059163, 0.014169174731179552, 0.014167319671767657, 0.014165602907248279, 0.014164034868230559, 0.014162619995418154, 0.014161357963847911, 0.014160244748817193, 0.014159273537811476, 0.014158435500298359, 0.014157720430986204, 0.014157117283322321, 0.014156614609584686, 0.014156200922587125, 0.014155864992241519, 0.014155596088304511, 0.014155384178768103, 0.014155220091635678, 0.014155095646307965, 0.014155003759499959, 0.014154938529513255, 0.014154895301778792, 0.014154870717835987, 0.014154862749297788, 0.014154885811054348, 0.014154955161853906, 0.014155071299793775, 0.014155235060092098, 0.014155447622778681, 0.014155710523679555, 0.014156025668920252, 0.014156395353248879, 0.014156822282565432, 0.014157309601141168, 0.014157860924125564, 0.014158480376071921, 0.014159172636371268, 0.014159942992675655, 0.0141607974036223, 0.014161742572452743, 0.014162786033466516, 0.014163936253677237, 0.0141652027525704, 0.014166596243527833, 0.014168128801321121, 0.0141698140611368, 0.014171667455948403, 0.01417370650078467, 0.01417595113468449, 0.014178424134045294, 0.014181151614895205, 0.014184163646673256, 0.014187495006837593, 0.014191186114681609, 0.014195284195037209, 0.014199844739414835, 0.014204933355518796, 0.014210628128880992, 0.014217022666941, 0.014224230062941502, 0.014232388114888266, 0.01424166627996862, 0.0142522750637262, 0.014264478879566028, 0.014278613941257845, 0.014295113595770646, 0.014314544890801832, 0.014337662511575091, 0.014365490291158245, 0.014399447820533861, 0.014441553375080123, 0.014494761123075489, 0.014563545566757572, 0.01465496609784993, 0.014780725181550628, 0.014961448403503802, 0.01523643518829023, 0.015688649110791895, 0.016519749935815141, 0.018332123832015882, 0.023620414874176678, 0.049393242164514177, 0.068111021490064649, 0.024801950888156905, 0.017671167230554809, 0.015710885994469421, 0.014942417813262941, 0.014574304910847784, 0.01437424896123996, 0.014255743477254829, 0.014181039206951112, 0.014131691134543855, 0.014097889716009959, 0.014074062862109764, 0.014056874432390256, 0.014044239241587486, 0.014034806542391394, 0.014027674543827863, 0.014022225477291934, 0.014018026634024523, 0.014014769013711055, 0.014012228189779454, 0.014010238711898697, 0.014008676986314314, 0.01400744959658495, 0.014006485192572528, 0.014005728766220218, 0.014005137552478909, 0.014004678054814725, 0.014004323860474434, 0.014004054017918663, 0.014003851819419943, 0.014003703879034253, 0.014003599428198081, 0.01400352977324892, 0.014003487874528349, 0.014003468017554973, 0.014003465554473026, 0.014003476699539507, 0.01400349836645302, 0.014003528038291317, 0.014003563663017053, 0.014003603569146175, 0.014003646397402118, 0.014003691045108117, 0.014003736620778404, 0.014003782406911918, 0.014003827829410415, 0.014003872432368458, 0.014003915857235269, 0.014003957825547631, 0.014003998124589179, 0.014004036595455521, 0.014004073123102838, 0.01400410762803669, 0.014004140059360395, 0.014004170388953505, 0.014004198606591836, 0.014004224715853768, 0.014004248730684775, 0.014004270672514264, 0.014004290567837063, 0.014004308446186924, 0.014004324338441653, 0.014004338275410132, 0.014004350286659636, 0.014004360399549737, 0.014004368638444646, 0.014004375024081367, 0.014004379573075739, 0.01400438229755205, 0.014004383204885777, 0.014004382297552057, 0.014004379573075744, 0.014004375024081367, 0.014004368638444648, 0.014004360399549748, 0.014004350286659643, 0.014004338275410136, 0.014004324338441653, 0.014004308446186917, 0.014004290567837068, 0.014004270672514266, 0.014004248730684786, 0.014004224715853771, 0.014004198606591833, 0.014004170388953501, 0.014004140059360393, 0.014004107628036699, 0.014004073123102843, 0.014004036595455517, 0.014003998124589178, 0.014003957825547638, 0.014003915857235278, 0.014003872432368461, 0.014003827829410412, 0.014003782406911915, 0.014003736620778407, 0.01400369104510811, 0.014003646397402118, 0.01400360356914618, 0.014003563663017044, 0.014003528038291321, 0.01400349836645302, 0.014003476699539507, 0.014003465554473023, 0.014003468017554973, 0.014003487874528353, 0.014003529773248926, 0.014003599428198087, 0.014003703879034256, 0.014003851819419941, 0.014004054017918668, 0.014004323860474444, 0.014004678054814725, 0.014005137552478907, 0.014005728766220223, 0.014006485192572533, 0.014007449596584945, 0.014008676986314307, 0.014010238711898697, 0.014012228189779447, 0.014014769013711049, 0.014018026634024518, 0.014022225477291934, 0.014027674543827867, 0.014034806542391394, 0.0140442392415875, 0.014056874432390258, 0.01407406286210975, 0.014097889716009953, 0.014131691134543822, 0.014181039206951062, 0.01425574347725485, 0.014374248961239912, 0.014574304910847822, 0.014942417813262996, 0.015710885994469501, 0.017671167230553425, 0.024801950888155965, 0.068111021489990181, 0.049393242164494255, 0.023620414874179985, 0.018332123832015126, 0.016519749935815179, 0.01568864911079166, 0.015236435188290291, 0.014961448403503889, 0.014780725181550797, 0.014654966097850023, 0.0145635455667576, 0.014494761123075538, 0.014441553375080119, 0.014399447820533874, 0.014365490291158255, 0.014337662511575104, 0.014314544890801842, 0.014295113595770643, 0.014278613941257847, 0.014264478879566023, 0.014252275063726208, 0.014241666279968623, 0.014232388114888262, 0.014224230062941505, 0.014217022666941005, 0.014210628128880996, 0.014204933355518794, 0.01419984473941484, 0.014195284195037215, 0.014191186114681613, 0.014187495006837598, 0.014184163646673256, 0.014181151614895207, 0.014178424134045286, 0.014175951134684495, 0.014173706500784665, 0.014171667455948405, 0.014169814061136805, 0.014168128801321114, 0.014166596243527833, 0.014165202752570398, 0.014163936253677241, 0.014162786033466513, 0.014161742572452745, 0.014160797403622295, 0.014159942992675647, 0.014159172636371269, 0.014158480376071918, 0.014157860924125567, 0.014157309601141168, 0.014156822282565436, 0.01415639535324888, 0.014156025668920248, 0.014155710523679555, 0.014155447622778683, 0.014155235060092095, 0.014155071299793768, 0.014154955161853904, 0.014154885811054346, 0.014154862749297793, 0.014154874277094007, 0.014154908906186873, 0.014154966773870912, 0.014155048109578397, 0.014155153235797675, 0.014155282569371418, 0.014155436623187693, 0.014155616008280445, 0.01415582143636054, 0.014156053722802773, 0.014156313790119189, 0.014156602671954394, 0.014156921517644354, 0.014157271597386722, 0.014157654308077847, 0.014158071179879828, 0.014158523883589956, 0.014159014238895493, 0.014159544223607993, 0.014160115983985276, 0.014160731846263928, 0.014161394329543303, 0.014162106160181749, 0.014162870287889423, 0.014163689903729028, 0.014164568460267184, 0.014165509694156045, 0.014166517651466886, 0.014167596716148527, 0.014168751642041389, 0.014169987588948033, 0.014171310163342807, 0.014172725464400838, 0.014174240136142095, 0.014175861426624525, 0.014177597255286127, 0.01417945628973411, 0.014181448033519738, 0.014183582926727492, 0.014185872461560499, 0.014188329315534633, 0.014190967505421759, 0.014193802565732333, 0.014196851756330897, 0.014200134304776487, 0.014203671690226237, 0.014207487977305502, 0.014211610210322518, 0.014216068880713015, 0.014220898483801972, 0.014226138185085441, 0.01423183262156057, 0.014238032870571073, 0.014244797627745588, 0.01425219464766077, 0.014260302516945248, 0.014269212851192325, 0.014279033036471404, 0.014289889676611049, 0.014301932963450392, 0.014315342265869377, 0.014330333345083181, 0.014347167764426252, 0.014366165296519904, 0.01438772047861012, 0.014412324991251125, 0.014440598340361174, 0.014473330582632348, 0.014511542849848274, 0.014556574729858714, 0.014610213116857229, 0.014674886766791646, 0.014753968022985571, 0.014852255191920511, 0.014976771105809576, 0.015138139673640629, 0.015353073987744346, 0.015649134377095118, 0.016074468676301159, 0.016719496123816464, 0.017770555539566898, 0.019661986522718642, 0.023591318821936338, 0.033691415918783045, 0.066165005262469934, 0.092064451899054489, 0.042118005099630249, 0.024887744551459302, 0.019355617056285791, 0.01706728829854361, 0.015936080592247662, 0.015305404934831686, 0.014922641303765303, 0.014675332485097593, 0.014507708671549893, 0.0143897324398575, 0.014304139695916707, 0.014240474106880677, 0.014192123610542427, 0.014154753504668485, 0.014125433737209779, 0.014102130968940885, 0.014083401574915229, 0.014068199925891785, 0.014055755186114313, 0.014045490116882206, 0.014036966349721581, 0.014029846752277862, 0.01402386907667439, 0.014018827203971499, 0.014014557595381645, 0.014010929371234051, 0.014007836955567626, 0.014005194560242108, 0.014002932004716754, 0.014000991517035323, 0.013999325263460384, 0.013997893424672189, 0.013996662685805529, 0.013995605042580957, 0.013994696850856322, 0.013993918065077389, 0.013993251624378894, 0.013992682954880514, 0.013992199564010785, 0.013991790708159951, 0.013991447119097642, 0.013991160777738964, 0.013990580053352535, 0.013990311826551019, 0.013990258301670135, 0.013990352414842347, 0.013990547288018365, 0.013990809537341518, 0.013991114934725315, 0.013991445541718533, 0.01399178778469125, 0.013992131143575353, 0.013992467247450645, 0.01399278924407322, 0.013993091356386782, 0.01399336856820306, 0.013993616400045402, 0.01399383074847791, 0.01399400777043782, 0.013994143799608685, 0.013994235285633806, 0.013994278749562354, 0.013994270750728802, 0.013994207861544816, 0.013994086647604514, 0.013993903651192588, 0.013993655376831766, 0.013993338277990338, 0.01399294874456806, 0.013992483091380752, 0.013991937548694391, 0.013991308257105279, 0.013990591271025761, 0.013989782578214741, 0.013988878148045267, 0.01398787403002503, 0.01398676653915603, 0.013985552590941601, 0.013984230295442907, 0.013982800004602716, 0.013981266165803162, 0.013979640641450079, 0.013977948769892466, 0.013976240732478077, 0.013974613634147377, 0.013973256361754194, 0.013972546049656972, 0.013973271145887549, 0.013977198257807844, 0.013988706503963827, 0.014020413730008631, 0.014118519139524487, 0.014545587224726628, 0.020084376945981194, 0.022412554546367373, 0.015256784506962582, 0.01453909061329821, 0.014318064545553956, 0.014218027471405334, 0.014162813309191112, 0.014128410974463532, 0.014105158181153384, 0.014088503847873194, 0.014076053719501432, 0.014066440470279072, 0.014058832174969253, 0.014052696530762035, 0.014047678713319266, 0.014043534035374972, 0.014040088857752831, 0.014037216895097814, 0.014034824312184082, 0.014032840045171836, 0.014031209338373591, 0.014029889321100584, 0.014028845914160929, 0.014028051624017992, 0.014027483942436213, 0.014027124167250505, 0.014026956521255464, 0.014026967485576251, 0.014027145289657423, 0.014027479517198058, 0.014027960799026094, 0.014028580571944376, 0.014029330888203288, 0.014030204264239676, 0.014031193560182044, 0.014032291883699451, 0.014033492513296242, 0.014034788837286559, 0.014036174305529345, 0.014037642391645152, 0.014039186563923608, 0.014040800263504735, 0.014042476888706589, 0.014044209784596281, 0.01404599223707672, 0.014047817470898727, 0.014049678651115545, 0.014051568887580839, 0.014053481242157096, 0.014055408738351777, 0.014057344373137685, 0.014059281130742875, 0.01406121199821697, 0.014063129982594902, 0.014065028129489421, 0.014066899542948149, 0.014068737406413279, 0.014070535004621017, 0.014072285746275091, 0.014073983187324326, 0.014075621054669344, 0.01407719327011819, 0.014078693974405178, 0.014080117551082768, 0.014081458650092832, 0.014082712210820855, 0.014083873484436862, 0.014084938055326793, 0.014085901861423026, 0.01408676121324722, 0.014087512811487532, 0.014088153762942496, 0.014088681594676741, 0.014089094266249422, 0.014089390179893078, 0.014089568188540244, 0.014089627601616524, 0.014089587989508382, 0.014089469266274588, 0.014089271770831406, 0.014088996066856856, 0.01408864294102505, 0.014088213400550746, 0.014087708670059877, 0.014087130187806702, 0.014086479601261737, 0.014085758762098777, 0.014084969720612697, 0.014084114719602824, 0.01408319618775951, 0.014082216732593883, 0.014081179132952554, 0.014080086331161187, 0.014078941424840865, 0.014077747658443085, 0.014076508414548437, 0.014075227204974358, 0.014073907661736478, 0.014072553527907056, 0.014071168648412874, 0.014069756960812441, 0.014068322486090953, 0.014066869319508653, 0.014065401621535386, 0.014063923608901132, 0.014062439545789167, 0.014060953735194797, 0.014059470510468894, 0.014057994227061757, 0.014056529254478265, 0.014055079968451761, 0.014053650743339204, 0.014052245944735586, 0.014050869922301623, 0.014049527002793391, 0.014048221483277822, 0.014046957624513415, 0.014045739644469956, 0.0140445717119561, 0.014043457940318253, 0.01404240238116866, 0.014041409018095068, 0.014040481760298434, 0.014039624436099289, 0.014038840786247446, 0.01403813445696331, 0.014037508992633242, 0.014036967828074953, 0.014036514280283064, 0.014036151539558946, 0.014035882659923849, 0.014035710548709014, 0.014035637955213093, 0.014035667458314024, 0.014035801452921534, 0.014036042135157668, 0.014036391486155871, 0.01403685125437676, 0.014037422936349705, 0.014038107755765359, 0.014038906640866987, 0.014039820200117242, 0.014040848696155031, 0.014041992018103449, 0.014043249652346953, 0.014044620651964487, 0.014046103605085227, 0.014047696602526175, 0.014049397205175531, 0.014051202411701347, 0.014053108627290306, 0.014055111634253294, 0.0140572065654692, 0.014059387881770096, 0.014061649354493827, 0.014063984054534691, 0.014066384349300647, 0.014068841909025544, 0.014071347723876075, 0.014073892133224349, 0.014076464868318648, 0.0140790551093684, 0.014081651557759801, 0.014084242523735215, 0.014086816029406748, 0.014089359926442866, 0.014091862027183424, 0.014094310247327151, 0.014096692757725071, 0.014098998142237829, 0.014101215558110485, 0.0141033348949204, 0.014105346927895905, 0.014107243461311082, 0.014109017457754405, 0.014110663149350024, 0.014112176127477293, 0.014113553408165731, 0.014114793471109411, 0.014115896271107443, 0.014116863221648171, 0.01411769715126519, 0.014118402234154741, 0.014118983897312089, 0.014119448707084068, 0.014119804238518906, 0.014120058931209527, 0.014120221935468542, 0.014120302952651015, 0.014120312073271274, 0.01412025961626636, 0.014120155972370759, 0.014120011454114326, 0.014119836154469207, 0.014119639815679859, 0.014119431709338374, 0.014119220528334517, 0.014119014290933235, 0.014118820256919924, 0.014118644855513753, 0.014118493624580392, 0.014118371160578394, 0.014118281078640483, 0.014118225982216624, 0.014118207441780765], [0.014066287851090226, 0.014066235711541402, 0.014066079417047007, 0.014065819339639237, 0.014065456097961794, 0.014064990555167366, 0.014064423815999302, 0.014063757223081666, 0.014062992352449127, 0.014062131008354389, 0.014061175217396121, 0.01406012722201678, 0.014058989473424162, 0.014057764623995167, 0.014056455519224431, 0.014055065189284024, 0.014053596840263452, 0.014052053845161365, 0.014050439734703194, 0.014048758188059651, 0.014047013023543027, 0.014045208189358305, 0.014043347754487725, 0.014041435899786653, 0.014039476909369845, 0.014037475162367035, 0.014035435125126981, 0.014033361343950158, 0.014031258438430531, 0.014029131095488522, 0.014026984064179297, 0.014024822151362481, 0.014022650218323806, 0.014020473178443231, 0.014018295996010292, 0.014016123686294527, 0.014013961316988507, 0.014011814011151712, 0.014009686951796866, 0.014007585388276751, 0.014005514644647752, 0.014003480130208825, 0.014001487352439904, 0.013999541932593163, 0.013997649624224163, 0.013995816334987529, 0.01399404815206449, 0.013992351371635825, 0.013990732532864642, 0.013989198456906889, 0.013987756291522286, 0.013986413561912341, 0.013985178228460075, 0.013984058752083126, 0.013983064167927538, 0.013982204168111956, 0.013981489194161381, 0.013980930539620885, 0.013980540463076487, 0.013980332311384106, 0.013980320652253211, 0.01398052141436347, 0.013980952031800326, 0.013981631587640377, 0.01398258094883173, 0.013983822880904479, 0.013985382126303632, 0.013987285424066926, 0.013989561441041184, 0.01399224057586046, 0.013995354586796353, 0.013998935984104149, 0.014003017118121365, 0.014007628888626516, 0.014012799002611414, 0.014018549721816591, 0.014024895074408307, 0.014031837563511583, 0.014039364493706529, 0.014047444154993287, 0.01405602224330022, 0.014065019035918043, 0.014074327943650232, 0.014083816082539858, 0.014093327400312125, 0.014102688627740504, 0.014111717913298214, 0.014120235503550784, 0.014128075363170522, 0.0141350963194114, 0.014141191273809585, 0.014146293286423292, 0.014150377851252092, 0.014153461315305458, 0.014155595987970112, 0.014156862907865733, 0.014157363413505228, 0.014157210609602195, 0.014156521597173477, 0.014155411030559327, 0.014153986258732768, 0.014152344056666259, 0.014150568779839339, 0.014148731681442699, 0.014146891102867997, 0.014145093263460414, 0.014143373415877404, 0.014141757183520677, 0.014140261946193432, 0.014138898183671549, 0.014137670721892093, 0.01413657985273486, 0.014135622316854824, 0.014134792151159509, 0.014134081409825179, 0.014133480771565869, 0.014132980047319242, 0.014132568602446216, 0.014132235706577522, 0.014131970822812225, 0.014131763846366937, 0.014131605301169135, 0.01413148650138818, 0.014131399683556357, 0.014131338113768854, 0.01413129617346481, 0.014131269426467707, 0.014131254669280833, 0.01413124996606863, 0.014131271684758195, 0.014131336996914426, 0.014131446372172181, 0.014131600597857214, 0.014131800785983291, 0.0141320483832423, 0.014132345184188303, 0.01413269334788398, 0.014133095418353789, 0.014133554349274154, 0.014134073533431664, 0.01413465683759714, 0.014135308643603336, 0.014136033896580658, 0.014136838161506559, 0.014137727689469764, 0.014138709495349408, 0.014139791448979208, 0.01414098238232336, 0.014142292215761911, 0.014143732107297659, 0.014145314629399094, 0.014147053979338979, 0.014148966230351152, 0.014151069632809999, 0.014153384977074319, 0.01415593603281743, 0.014158750083846391, 0.014161858582955499, 0.014165297958769744, 0.014169110616532046, 0.014173346188411063, 0.014178063107660201, 0.014183330607062736, 0.014189231278868565, 0.014195864385884018, 0.014203350189243315, 0.014211835669750282, 0.014221502185778985, 0.01423257586282081, 0.014245341899733276, 0.014260164592665672, 0.01427751587297074, 0.014298016805146653, 0.014322499303352772, 0.01435210027337425, 0.014388409407807331, 0.01443370898451838, 0.014491378056228667, 0.014566604809769264, 0.0146677103323595, 0.014808770931054899, 0.015015238596417605, 0.015337249550162056, 0.015885524353549254, 0.016947119265471419, 0.019469202191936461, 0.028082071889474678, 0.075106136086501907, 0.042832514852317066, 0.020844901801744677, 0.016654849778784838, 0.015314399927325936, 0.014743567797697529, 0.014455997668423586, 0.014294410118260915, 0.014196425521224324, 0.014133595896288915, 0.014091561477660587, 0.01406249254623957, 0.014041853222046506, 0.014026884296886971, 0.014015838547822864, 0.014007571798164318, 0.014001313156167702, 0.013996530413823812, 0.013992848315222718, 0.013989997361144415, 0.013987780856629809, 0.013986053185477843, 0.013984705177779461, 0.013983654064905373, 0.013982836464416696, 0.013982203404443437, 0.013981716744614219, 0.01398134656835128, 0.013981069260511634, 0.013980866074947839, 0.013980722056533765, 0.013980625222519803, 0.013980565935577624, 0.01398053641989622, 0.013980530384983109, 0.013980542731231612, 0.013980569318042358, 0.01398060678014759, 0.013980652381330725, 0.013980703897340973, 0.01398075952173632, 0.013980817789834262, 0.013980877517037858, 0.013980937748630682, 0.013980997718764241, 0.01398105681684516, 0.01398111455990424, 0.013981170569818995, 0.013981224554489233, 0.013981276292242965, 0.013981325618890622, 0.013981372416957098, 0.013981416606709858, 0.013981458138672263, 0.013981496987368208, 0.013981533146090292, 0.013981566622520548, 0.013981597435063258, 0.01398162560977388, 0.013981651177788153, 0.013981674173172282, 0.013981694631128432, 0.013981712586501443, 0.013981728072541725, 0.01398174111988772, 0.013981751755737657, 0.013981760003185986, 0.013981765880705221, 0.013981769401757884, 0.013981770574527064, 0.013981769401757882, 0.013981765880705226, 0.013981760003185982, 0.013981751755737662, 0.013981741119887729, 0.013981728072541727, 0.013981712586501454, 0.013981694631128434, 0.013981674173172276, 0.013981651177788152, 0.013981625609773878, 0.013981597435063269, 0.01398156662252055, 0.013981533146090292, 0.013981496987368204, 0.01398145813867226, 0.013981416606709868, 0.013981372416957103, 0.013981325618890619, 0.013981276292242963, 0.01398122455448924, 0.013981170569819002, 0.013981114559904244, 0.013981056816845158, 0.013980997718764229, 0.013980937748630688, 0.013980877517037853, 0.013980817789834258, 0.013980759521736325, 0.013980703897340963, 0.013980652381330725, 0.013980606780147588, 0.013980569318042358, 0.013980542731231602, 0.013980530384983111, 0.01398053641989622, 0.013980565935577626, 0.013980625222519799, 0.013980722056533765, 0.013980866074947839, 0.013981069260511639, 0.013981346568351283, 0.013981716744614217, 0.013982203404443437, 0.013982836464416705, 0.013983654064905376, 0.013984705177779458, 0.013986053185477838, 0.013987780856629809, 0.013989997361144407, 0.013992848315222711, 0.013996530413823805, 0.0140013131561677, 0.014007571798164318, 0.014015838547822861, 0.014026884296886989, 0.014041853222046506, 0.014062492546239563, 0.014091561477660582, 0.014133595896288875, 0.014196425521224264, 0.014294410118260945, 0.014455997668423497, 0.014743567797697582, 0.015314399927326019, 0.016654849778784984, 0.020844901801741235, 0.042832514852311633, 0.075106136086569117, 0.028082071889470549, 0.019469202191937658, 0.016947119265471055, 0.015885524353549275, 0.015337249550161898, 0.015015238596417659, 0.014808770931054966, 0.014667710332359632, 0.014566604809769337, 0.014491378056228681, 0.014433708984518423, 0.014388409407807324, 0.014352100273374264, 0.014322499303352785, 0.014298016805146663, 0.014277515872970749, 0.014260164592665671, 0.014245341899733279, 0.014232575862820814, 0.014221502185778993, 0.014211835669750286, 0.014203350189243317, 0.014195864385884025, 0.014189231278868571, 0.014183330607062736, 0.014178063107660198, 0.014173346188411064, 0.014169110616532046, 0.014165297958769746, 0.014161858582955503, 0.014158750083846391, 0.014155936032817437, 0.014153384977074317, 0.014151069632810005, 0.014148966230351157, 0.014147053979338981, 0.014145314629399094, 0.014143732107297659, 0.014142292215761913, 0.014140982382323357, 0.014139791448979205, 0.014138709495349412, 0.014137727689469764, 0.014136838161506555, 0.014136033896580649, 0.014135308643603336, 0.014134656837597131, 0.01413407353343166, 0.014133554349274158, 0.014133095418353787, 0.014132693347883985, 0.014132345184188298, 0.014132048383242302, 0.014131800785983294, 0.014131600597857214, 0.014131446372172176, 0.014131336996914422, 0.014131271684758188, 0.014131249966068637, 0.014131260822521568, 0.014131293435152764, 0.01413134793394452, 0.014131424536085945, 0.014131523546806435, 0.014131645360553788, 0.014131790462528515, 0.014131959430589109, 0.014132152937547177, 0.014132371753875132, 0.01413261675085338, 0.014132888904188862, 0.014133189298141849, 0.014133519130203595, 0.014133879716373867, 0.014134272497094463, 0.014134699043902686, 0.014135161066878163, 0.014135660422965971, 0.014136199125271391, 0.014136779353434208, 0.014137403465206325, 0.014138074009373355, 0.014138793740181373, 0.014139565633453177, 0.014140392904605094, 0.014141279028807383, 0.014142227763566703, 0.014143243174052977, 0.014144329661542015, 0.014145491995404465, 0.014146735349140819, 0.014148065341043969, 0.014149488080168063, 0.014151010218397613, 0.014152639009548936, 0.01415438237660087, 0.014156248988350282, 0.014158248347026784, 0.014160390888691327, 0.014162688098594847, 0.014165152644102973, 0.014167798528319606, 0.01417064126818968, 0.01417369810166332, 0.014176988229498954, 0.01418053309852643, 0.014184356734751855, 0.014188486136655756, 0.014192951741536976, 0.014197787980948446, 0.014203033945376498, 0.014208734183626715, 0.014214939669301945, 0.014221708975845227, 0.014229109713646129, 0.014237220298754176, 0.014246132144344677, 0.014255952395435539, 0.014266807367646588, 0.0142788469066927, 0.01429224996374912, 0.014307231793272561, 0.014324053340285036, 0.01434303361835685, 0.014364566226804447, 0.01438914167914692, 0.014417378018511324, 0.014450063453942476, 0.014488216764816379, 0.014533174519620525, 0.014586719706334792, 0.014651275990704028, 0.014730209046122811, 0.014828308422496194, 0.014952585522945117, 0.015113649681176136, 0.015328196616171125, 0.015623770056338183, 0.016048516968783531, 0.016692927237726078, 0.017743695752301395, 0.019636717328256129, 0.023576949063945887, 0.03374085080191578, 0.066576108842626325, 0.091714385181694807, 0.041679049709670166, 0.02470228545826067, 0.019254417845078448, 0.016999392476869112, 0.015884080571960935, 0.015262100247994589, 0.014884584255469846, 0.01464068239584085, 0.014475398043754147, 0.01435910089095109, 0.014274757069088373, 0.01421204817102184, 0.014164448783275453, 0.014127680844671451, 0.01409885259706724, 0.014075957350221723, 0.014057570494958347, 0.014042660271725516, 0.014030466158444575, 0.01402041871856442, 0.014012085577048685, 0.01400513426946832, 0.013999306229060482, 0.013994398272789411, 0.013990249227660517, 0.013986730138438366, 0.013983737008179052, 0.013981185354706533, 0.013979006085592443, 0.013977142341689154, 0.013975547059877672, 0.013974181075269532, 0.013973011631834746, 0.013972011204966397, 0.01397115656424374, 0.013970428022577462, 0.01396980883102392, 0.013969284688223511, 0.013968843340612602, 0.013968474254957286, 0.013968168348837311, 0.013967556223872572, 0.013967284871679631, 0.013967245468914129, 0.013967364022624235, 0.013967589240701595, 0.013967884901890239, 0.013968224947106204, 0.013968590259017265, 0.013968966512824012, 0.013969342720428723, 0.013969710231483383, 0.013970062040283235, 0.013970392300299957, 0.013970695981440984, 0.013970968626475691, 0.013971206176987525, 0.013971404848416554, 0.013971561039926162, 0.013971671269013788, 0.013971732123658384, 0.013971740226792756, 0.013971692209293847, 0.013971584688692801, 0.013971414251556305, 0.013971177438082833, 0.013970870727977626, 0.013970490527201149, 0.013970033155825595, 0.013969494838114266, 0.013968871697261229, 0.013968159759315488, 0.013967354974204035, 0.013966453267385904, 0.013965450645136832, 0.013964343392695545, 0.013963128432859767, 0.013961803963235857, 0.013960370582947669, 0.013958833293909578, 0.013957205100800745, 0.013955513618954135, 0.013953813546647187, 0.013952211079990829, 0.013950913980918063, 0.01395034050090419, 0.01395137496652739, 0.013956029733149588, 0.013969403635304658, 0.014006680009380988, 0.014126592658930527, 0.014703189442347593, 0.026261947361412324, 0.019072339780359396, 0.015020550782542989, 0.014460492687273207, 0.014272087550417896, 0.014183173650368763, 0.014132882075932062, 0.014101038726082303, 0.014079269833575561, 0.014063546595109484, 0.014051716411983006, 0.01404253534917296, 0.014035239481021753, 0.014029336331061138, 0.014024495589504301, 0.014020488295773549, 0.014017151258480595, 0.014014365343872981, 0.014012041740611875, 0.014010112995137675, 0.014008526998935995, 0.014007242857641392, 0.014006227991898473, 0.014005456063678543, 0.014004905467597258, 0.014004558216428768, 0.014004399106475966, 0.014004415084811348, 0.01400459476428418, 0.014004928048166351, 0.01400540583717971, 0.014006019799158657, 0.014006762186867068, 0.014007625693228535, 0.01400860333591903, 0.014009688365228718, 0.014010874190538902, 0.014012154321830476, 0.014013522323442395, 0.014014971777906133, 0.014016496258145619, 0.01401808930668794, 0.014019744420805851, 0.014021455042727261, 0.014023214554214103, 0.014025016274944234, 0.014026853464232747, 0.014028719325709288, 0.014030607014631071, 0.014032509647559468, 0.01403442031416538, 0.014036332090956075, 0.014038238056736761, 0.014040131309633361, 0.01404200498551263, 0.014043852277639879, 0.014045666457416263, 0.014047440896036403, 0.014049169086904293, 0.014050844668640516, 0.014052461448509298, 0.014054013426088103, 0.014055494816997057, 0.014056900076501139, 0.014058223922794162, 0.014059461359771052, 0.01406060769909484, 0.01406165858136489, 0.014062609996197493, 0.014063458301034438, 0.014064200238503955, 0.014064832952168418, 0.014065354000505853, 0.014065761368987944, 0.014066053480133692, 0.014066229201437349, 0.014066287851090226, 0.01406624874797535, 0.014066131550301501, 0.01406593659273013, 0.014065664431863602, 0.014065315844502952, 0.014064891825225091, 0.014064393583294924, 0.014063822538932756, 0.014063180318960995, 0.014062468751857859, 0.014061689862249612, 0.014060845864875495, 0.014059939158062586, 0.014058972316750009, 0.014057948085103751, 0.014056869368765391, 0.014055739226778021, 0.014054560863234727, 0.014053337618693902, 0.014052072961406183, 0.014050770478396965, 0.014049433866447251, 0.014048066923014555, 0.014046673537133254, 0.014045257680331892, 0.01404382339760284, 0.014042374798456133, 0.014040916048087, 0.014039451358682968, 0.014037984980893011, 0.014036521195477394, 0.014035064305153298, 0.014033618626646642, 0.014032188482957049, 0.014030778195838051, 0.014029392078490171, 0.014028034428460389, 0.014026709520736166, 0.014025421601017904, 0.014024174879148425, 0.014022973522673263, 0.014021821650500187, 0.014020723326621132, 0.014019682553854284, 0.014018703267558537, 0.014017789329266653, 0.014016944520177828, 0.014016172534444361, 0.014015476972181059, 0.01401486133212013, 0.014014329003828256, 0.014013883259396769, 0.014013527244510368, 0.014013263968794732, 0.014013096295338855, 0.014013026929284914, 0.014013058405375796, 0.014013193074350391, 0.014013433088078443, 0.014013780383331217, 0.014014236664092322, 0.014014803382325504, 0.014015481717133326, 0.014016272552264349, 0.014017176451956874, 0.014018193635146161, 0.014019323948109598, 0.014020566835682539, 0.014021921311246443, 0.014023385925771247, 0.014024958736285993, 0.014026637274255111, 0.014028418514451434, 0.014030298845038506, 0.014032274039702438, 0.014034339232801379, 0.01403648889862491, 0.014038716835968582, 0.014041016159321991, 0.014043379298033839, 0.014045798004843409, 0.014048263375144164, 0.014050765878262549, 0.01405329540188292, 0.014055841310522291, 0.014058392518651817, 0.014060937578675889, 0.014063464783521098, 0.014065962283066741, 0.014068418213084303, 0.014070820834769154, 0.014073158682372695, 0.014075420715909391, 0.01407759647545581, 0.014079676233210228, 0.014081651139272199, 0.014083513357054, 0.014085256184365669, 0.014086874156523547, 0.014088363128312711, 0.014089720332264737, 0.014090944411462978, 0.01409203542591944, 0.014092994832434712, 0.014093825438709337, 0.014094531333275895, 0.014095117793526082, 0.014095591174685132, 0.014095958783012837, 0.014096228736777091, 0.014096409818649683, 0.014096511323125805, 0.014096542902384445, 0.014096514413711408, 0.014096435771226525, 0.014096316804221262, 0.01409616712395018, 0.014095996000256352, 0.014095812248968794, 0.01409562413060771, 0.014095439260585015, 0.014095264530801031, 0.01409510604231972, 0.014094969048652952, 0.014094857909099407, 0.014094776051558429, 0.014094725944267654, 0.014094709075987814], [0.014120501019357058, 0.014120449435249907, 0.014120294805686946, 0.01412003749852384, 0.014119678125457559, 0.014119217539944936, 0.014118656834313747, 0.014117997336090161, 0.014117240603573908, 0.01411638842069851, 0.014115442791219256, 0.014114405932277854, 0.014113280267397237, 0.014112068418964617, 0.014110773200264718, 0.014109397607129174, 0.01410794480927045, 0.014106418141371412, 0.014104821094003867, 0.014103157304450572, 0.014101430547506927, 0.014099644726338623, 0.014097803863473308, 0.014095912092003211, 0.014093973647077259, 0.014091992857760621, 0.014089974139340143, 0.014087921986154838, 0.014085840965031036, 0.014083735709403175, 0.014081610914203272, 0.014079471331603956, 0.014077321767704067, 0.014075167080249773, 0.014073012177490163, 0.014070862018272828, 0.014068721613494513, 0.014066596029031927, 0.014064490390290649, 0.014062409888525767, 0.014060359789105097, 0.014058345441907118, 0.014056372294069768, 0.014054445905333685, 0.0140525719662551, 0.014050756319598349, 0.014049004985257418, 0.014047324189098081, 0.014045720396157851, 0.01404420034868851, 0.014042771109573042, 0.014041440111693521, 0.014040215213863462, 0.014039104763961533, 0.01403811766990315, 0.014037263479049818, 0.014036552466563464, 0.014035995733038785, 0.014035605311455842, 0.014035394283038903, 0.01403537690092457, 0.014035568719548931, 0.014035986726257214, 0.014036649469690615, 0.014037577176861561, 0.014038791847317995, 0.014040317308243247, 0.014042179208586972, 0.014044404923298148, 0.014047023330513754, 0.014050064415515496, 0.014053558646228852, 0.014057536057518407, 0.01406202497796741, 0.014067050336782162, 0.014072631504643895, 0.014078779656264395, 0.014085494699445681, 0.014092761898952992, 0.014100548432039468, 0.014108800236353839, 0.014117439629383789, 0.014126364258841246, 0.014135447944871664, 0.014144543859401341, 0.014153490235309891, 0.014162118423667422, 0.014170262681344269, 0.014177770673202569, 0.014184513425366087, 0.014190393455452765, 0.014195350056682821, 0.014199361172551748, 0.014202441852463813, 0.014204639789969692, 0.014206028802560952, 0.014206701260800241, 0.014206760423727986, 0.014206313442568997, 0.014205465530469884, 0.01420431553068204, 0.014202952896021345, 0.014201455940085927, 0.014199891136366339, 0.014198313213091795, 0.014196765802449897, 0.014195282436170104, 0.014193887722190506, 0.014192598580237609, 0.014191425452456524, 0.014190373436445919, 0.014189443311794983, 0.014188632448180902, 0.014187935594436017, 0.0141873455550066, 0.014186853764069335, 0.014186450769220066, 0.01418612663686398, 0.014185871290776848, 0.014185674794172719, 0.014185527584271454, 0.014185420666982402, 0.014185345778011442, 0.014185295515512975, 0.014185263448370719, 0.014185244203303578, 0.014185233533247613, 0.014185228368844359, 0.01418522685434984, 0.014185247312575549, 0.014185308834793908, 0.014185411864879283, 0.014185557146815225, 0.014185745731069545, 0.014185978983693361, 0.014186258598323816, 0.014186586611330708, 0.014186965420414289, 0.014187397807038326, 0.014187886963171067, 0.014188436522910327, 0.014189050599691571, 0.014189733829924308, 0.014190491424077847, 0.014191329226451539, 0.014192253785124233, 0.014193272433898129, 0.014194393388446119, 0.014195625859362791, 0.014196980185431415, 0.014198467991189179, 0.014200102373847102, 0.01420189812585923, 0.014203872001022858, 0.01420604303403695, 0.01420843292610241, 0.014211066512623096, 0.014213972333648532, 0.014217183333791747, 0.014220737726526468, 0.014224680068830842, 0.014229062607271444, 0.014233946977525495, 0.014239406368557469, 0.014245528304003607, 0.014252418252571578, 0.01426020436540088, 0.014269043765472944, 0.014279131004950056, 0.014290709597813716, 0.014304087989342873, 0.014319662047018865, 0.014337947336201669, 0.01435962641683431, 0.014385619797776326, 0.014417195241843549, 0.014456141310440679, 0.014505052628165618, 0.014567818067199843, 0.014650496743472713, 0.01476298140274691, 0.014922381841124842, 0.015160521371875112, 0.015542466295932878, 0.016219486556773501, 0.017614478121506162, 0.021301061552813395, 0.036640758520307411, 0.087290143769116979, 0.029723509193040818, 0.018650752008533517, 0.016035493622270535, 0.015090210374935487, 0.014658877111202093, 0.014431943903767921, 0.014300631108366799, 0.014219329406846011, 0.01416639699954203, 0.01413058048765815, 0.014105601147638319, 0.01408775447754374, 0.01407475331030885, 0.014065131509275334, 0.014057919117069219, 0.014052456978294187, 0.014048286693143191, 0.01404508303074538, 0.014042611173492835, 0.014040698957963364, 0.014039218433518692, 0.014038073357714316, 0.014037190560410461, 0.014036513880376057, 0.014035999843992489, 0.014035614543427742, 0.014035331353241488, 0.014035129241211244, 0.014034991505680368, 0.014034904822655681, 0.014034858520293972, 0.014034844021993252, 0.014034854415666658, 0.0140348841182693, 0.014034928612810249, 0.014034984240939642, 0.014035048038445791, 0.014035117604102035, 0.014035190994592741, 0.014035266639951634, 0.014035343275220919, 0.014035419885003699, 0.014035495658313595, 0.014035569951685213, 0.014035642258940398, 0.014035712186337866, 0.014035779432093842, 0.014035843769463987, 0.014035905032736608, 0.01403596310561317, 0.014036017911552231, 0.014036069405732583, 0.014036117568355313, 0.014036162399055814, 0.014036203912237998, 0.014036242133176809, 0.014036277094762068, 0.014036308834779165, 0.014036337393640408, 0.014036362812495606, 0.01403638513166325, 0.014036404389333526, 0.014036420620503641, 0.014036433856112744, 0.014036444122350035, 0.014036451440115248, 0.014036455824615003, 0.014036457285082939, 0.014036455824615005, 0.014036451440115248, 0.014036444122350035, 0.014036433856112744, 0.014036420620503651, 0.01403640438933353, 0.014036385131663259, 0.014036362812495606, 0.014036337393640399, 0.014036308834779163, 0.01403627709476207, 0.014036242133176821, 0.014036203912238001, 0.014036162399055809, 0.014036117568355313, 0.014036069405732583, 0.014036017911552238, 0.014035963105613173, 0.014035905032736601, 0.014035843769463983, 0.014035779432093847, 0.014035712186337873, 0.014035642258940403, 0.014035569951685209, 0.014035495658313597, 0.014035419885003706, 0.014035343275220918, 0.014035266639951633, 0.014035190994592744, 0.014035117604102025, 0.014035048038445797, 0.014034984240939638, 0.014034928612810247, 0.014034884118269295, 0.01403485441566666, 0.014034844021993257, 0.014034858520293972, 0.014034904822655684, 0.014034991505680371, 0.014035129241211244, 0.014035331353241486, 0.014035614543427746, 0.014035999843992484, 0.014036513880376056, 0.014037190560410463, 0.014038073357714322, 0.014039218433518689, 0.014040698957963366, 0.014042611173492838, 0.014045083030745373, 0.014048286693143184, 0.014052456978294187, 0.014057919117069221, 0.014065131509275335, 0.01407475331030885, 0.014087754477543755, 0.014105601147638324, 0.014130580487658143, 0.014166396999542016, 0.014219329406845961, 0.014300631108366713, 0.014431943903767969, 0.014658877111201986, 0.015090210374935549, 0.016035493622270719, 0.018650752008533961, 0.029723509193030278, 0.087290143769113315, 0.036640758520336311, 0.021301061552811369, 0.017614478121506901, 0.016219486556773265, 0.015542466295932906, 0.015160521371875006, 0.014922381841124863, 0.014762981402746969, 0.01465049674347282, 0.014567818067199905, 0.014505052628165635, 0.014456141310440714, 0.014417195241843549, 0.014385619797776335, 0.014359626416834316, 0.014337947336201678, 0.01431966204701887, 0.014304087989342877, 0.014290709597813719, 0.014279131004950058, 0.014269043765472949, 0.01426020436540088, 0.014252418252571581, 0.014245528304003613, 0.014239406368557474, 0.014233946977525494, 0.014229062607271447, 0.014224680068830844, 0.014220737726526475, 0.014217183333791749, 0.014213972333648536, 0.014211066512623098, 0.014208432926102417, 0.014206043034036954, 0.01420387200102286, 0.014201898125859227, 0.014200102373847102, 0.014198467991189179, 0.014196980185431404, 0.014195625859362791, 0.014194393388446113, 0.014193272433898131, 0.014192253785124237, 0.014191329226451537, 0.014190491424077847, 0.014189733829924306, 0.014189050599691574, 0.014188436522910318, 0.014187886963171067, 0.014187397807038328, 0.014186965420414289, 0.014186586611330709, 0.014186258598323814, 0.014185978983693363, 0.014185745731069547, 0.014185557146815228, 0.014185411864879281, 0.014185308834793905, 0.014185247312575543, 0.01418522685434985, 0.014185237080743511, 0.014185267801001746, 0.014185319138506316, 0.014185391299394993, 0.014185484573318814, 0.014185599334512345, 0.014185736043187229, 0.014185895247262336, 0.014186077584447348, 0.014186283784700143, 0.01418651467308199, 0.014186771173039098, 0.014187054310143197, 0.014187365216329482, 0.014187705134675101, 0.014188075424768387, 0.014188477568725481, 0.014188913177919244, 0.014189384000494099, 0.014189891929750818, 0.01419043901349638, 0.014191027464467987, 0.014191659671954638, 0.014192338214757667, 0.01419306587565145, 0.014193845657528648, 0.014194680801441571, 0.014195574806781845, 0.014196531453877831, 0.014197554829330954, 0.014198649354462713, 0.014199819817302155, 0.014201071408613229, 0.014202409762542853, 0.014203841002567323, 0.014205371793530453, 0.014207009400703871, 0.014208761756965147, 0.01421063753938712, 0.014212646256771058, 0.01421479834994514, 0.014217105307001399, 0.014219579796073367, 0.014222235818782016, 0.014225088888125089, 0.014228156235384575, 0.014231457051621698, 0.01423501277056999, 0.014238847401295517, 0.01424298792096031, 0.014247464740522383, 0.014252312259394939, 0.014257569529187195, 0.014263281051953828, 0.014269497745293513, 0.014276278115713355, 0.014283689693687037, 0.014291810799862784, 0.014300732733454924, 0.014310562503179186, 0.014321426261347851, 0.014333473657597132, 0.014346883407112545, 0.014361870479599335, 0.014378695475599031, 0.014397676990914418, 0.014419208117139742, 0.014443778749852558, 0.014472006179879709, 0.014504677701941807, 0.014542810989751491, 0.014587741289196314, 0.014641250039974806, 0.014705759172325125, 0.014784632591520255, 0.01488265847498455, 0.015006848318259422, 0.015167815609270569, 0.015382270650336222, 0.015677798349450552, 0.016102656929411339, 0.016747644505664669, 0.01780037520270775, 0.019699844343151328, 0.023663575372402622, 0.033932843148015882, 0.067249766634972299, 0.091106721249596456, 0.041175305572617414, 0.024553401707569339, 0.019214345165488561, 0.017000697466224339, 0.015904649902520364, 0.015293022325408908, 0.014921671948217958, 0.014681732491522614, 0.014519147447400028, 0.014404775480734334, 0.014321856447895905, 0.014260234536058914, 0.014213485742335975, 0.014177397887859218, 0.014149123520251225, 0.014126686640930678, 0.014108684454503128, 0.014094101057316323, 0.014082187682845582, 0.014072383764498859, 0.014064263725719386, 0.014057500386781017, 0.014051839341497865, 0.014047080720412984, 0.014043066017422955, 0.014039668444432645, 0.014036785781136164, 0.01403433501373404, 0.014032248272534308, 0.014030469723674591, 0.014028953169318049, 0.014027660179222976, 0.014026558624598114, 0.014025621519184357, 0.014024826096890161, 0.014024153072965102, 0.014023586048606434, 0.014023111028418311, 0.014022716027232521, 0.014022390748116984, 0.014021750346176228, 0.014021481233542949, 0.014021462312543925, 0.01402161197824699, 0.014021874153081742, 0.014022209581825748, 0.014022590276780334, 0.01402299590007974, 0.014023411365346653, 0.014023825222926615, 0.014024228558013014, 0.01402461423001985, 0.014024976342320266, 0.014025309869499672, 0.014025610393512676, 0.014025873915840635, 0.014026096723079058, 0.014026275290273929, 0.014026406210978528, 0.014026486146181155, 0.014026511786452331, 0.01402647982320054, 0.014026386926027064, 0.01402622972398334, 0.014026004789173057, 0.014025708621696439, 0.014025337635497872, 0.014024888145352707, 0.014024356356157329, 0.014023738357082111, 0.01402303012535556, 0.014022227548047494, 0.014021326476205687, 0.014020322835829374, 0.014019212837600804, 0.01401799335789853, 0.014016662618508662, 0.014015221393418154, 0.014013675162263459, 0.01401203800439888, 0.014010339789866412, 0.014008639848169718, 0.014007053949336896, 0.014005810192336416, 0.014005372098015176, 0.014006731955988581, 0.014012186070655552, 0.014027692407744185, 0.014071640861809599, 0.014219659572323819, 0.015022544597298595, 0.043932663879600799, 0.017451517311052937, 0.014914718898515368, 0.014468460103848581, 0.01430640975620754, 0.014226970798998387, 0.014181001142027392, 0.014151447784481934, 0.014131023802349024, 0.014116151870185834, 0.014104892005188038, 0.014096110278879949, 0.014089104009975303, 0.01408341688086428, 0.014078740982246695, 0.014074861799006707, 0.014071625777330489, 0.014068920403628398, 0.014066661530582412, 0.014064785064279601, 0.014063241364367273, 0.014061991381974339, 0.014061003939898899, 0.014060253781184549, 0.014059720145439981, 0.014059385714508169, 0.014059235821098718, 0.014059257847601985, 0.014059440764449904, 0.014059774772249118, 0.014060251022050607, 0.014060861395143301, 0.014061598328694171, 0.014062454677070351, 0.014063423601211105, 0.014064498480263485, 0.014065672841055692, 0.014066940301994922, 0.014068294528737244, 0.01406972919955355, 0.014071237978756548, 0.014072814496892551, 0.014074452336664565, 0.014076145023757689, 0.014077886021897669, 0.014079668731598749, 0.014081486492155439, 0.014083332586509489, 0.014085200248683857, 0.014087082673521448, 0.014088973028501981, 0.014090864467436924, 0.01409275014586142, 0.014094623237954993, 0.014096476954831672, 0.014098304564043746, 0.014100099410144836, 0.014101854936156382, 0.014103564705778499, 0.01410522242618128, 0.014106821971207805, 0.014108357404814153, 0.014109823004566412, 0.014111213285009975, 0.014112523020722583, 0.014113747268860024, 0.01411488139100305, 0.014115921074114234, 0.014116862350417918, 0.014117701616020903, 0.014118435648099966, 0.014119061620492328, 0.014119577117537687, 0.014119980146035799, 0.014120269145199968, 0.01412044299450599, 0.014120501019357058, 0.014120462332813367, 0.014120346383687178, 0.014120153503146056, 0.014119884241981955, 0.014119539368888078, 0.014119119868062541, 0.014118626936154326, 0.014118061978571591, 0.014117426605176122, 0.014116722625391402, 0.014115952042755394, 0.014115117048951966, 0.01411422001735774, 0.014113263496143374, 0.014112250200970126, 0.014111183007324498, 0.01411006494253381, 0.014108899177507539, 0.014107689018248182, 0.014106437897175958, 0.01410514936431073, 0.014103827078353408, 0.014102474797708006, 0.014101096371483234, 0.01409969573051058, 0.014098276878413772, 0.014096843882760991, 0.014095400866328701, 0.014093951998502642, 0.014092501486837839, 0.014091053568795925, 0.014089612503674215, 0.014088182564736672, 0.014086768031553155, 0.014085373182548652, 0.014084002287759623, 0.014082659601790674, 0.014081349356959195, 0.014080075756611491, 0.014078842968588696, 0.014077655118815691, 0.014076516284981296, 0.01407543049027252, 0.014074401697120337, 0.014073433800908947, 0.014072530623594776, 0.014071695907175746, 0.014070933306945567, 0.014070246384461782, 0.014069638600150737, 0.014069113305466518, 0.01406867373451566, 0.014068322995054023, 0.014068064058757697, 0.014067899750665516, 0.014067832737688387, 0.014067865516078535, 0.014068000397752373, 0.014068239495363241, 0.014068584706025606, 0.014069037693601363, 0.014069599869472479, 0.014070272371742418, 0.014071056042833822, 0.014071951405481432, 0.014072958637159386, 0.014074077543030703, 0.014075307527565811, 0.014076647565046452, 0.014078096169251863, 0.014079651362715577, 0.014081310646043541, 0.014083070967895395, 0.014084928696349213, 0.014086879592492723, 0.014088918787205739, 0.014091040762214841, 0.014093239336604824, 0.014095507660053491, 0.014097838214109072, 0.014100222822841797, 0.014102652674164131, 0.014105118353017332, 0.014107609887458187, 0.014110116808442354, 0.014112628223787829, 0.014115132906414678, 0.014117619396503198, 0.014120076116703659, 0.014122491498985749, 0.014124854121158636, 0.014127152850551314, 0.014129376991849477, 0.014131516435671964, 0.014133561804167222, 0.014135504589746283, 0.014137337283061619, 0.014139053486504377, 0.014140648009824005, 0.01414211694496505, 0.01414345771784414, 0.014144669115523771, 0.014145751288040813, 0.014146705724973325, 0.014147535207635282, 0.01414824373853346, 0.014148836450368024, 0.014149319497379515, 0.014149699932221418, 0.014149985571760421, 0.01415018485527705, 0.014150306698468621, 0.014150360346460849, 0.014150355228738518, 0.01415030081853413, 0.014150206498794711, 0.014150081436406607, 0.014149934465920767, 0.014149773983606595, 0.01414960785228798, 0.014149443317092669, 0.014149286931982433, 0.014149144496732664, 0.014149021003893052, 0.014148920595187051, 0.014148846526788859, 0.014148801142948029, 0.014148785857505139], [0.014231223455971248, 0.014231172353180849, 0.014231019166350412, 0.014230764259685929, 0.014230408238813488, 0.014229951948715626, 0.014229396470867101, 0.014228743119593946, 0.01422799343768678, 0.014227149191305664, 0.014226212364218734, 0.01422518515142346, 0.01422406995220352, 0.014222869362678983, 0.014221586167911545, 0.014220223333630136, 0.014218783997645, 0.014217271461020703, 0.014215689179081122, 0.014214040752320183, 0.014212329917294117, 0.01421056053757098, 0.014208736594814718, 0.014206862180080413, 0.014204941485398241, 0.014202978795723671, 0.014200978481331521, 0.01419894499073222, 0.014196882844189166, 0.014194796627917108, 0.014192690989043666, 0.014190570631417664, 0.014188440312351981, 0.014186304840392502, 0.014184169074210056, 0.014182037922719283, 0.014179916346536627, 0.014177809360899924, 0.014175722040184021, 0.014173659524161674, 0.014171627026175748, 0.014169629843408428, 0.014167673369456107, 0.014165763109444269, 0.014163904697946223, 0.014162103920001692, 0.014160366735567618, 0.014158699307771739, 0.014157108035380391, 0.014155599589933641, 0.014154180958040889, 0.014152859489365909, 0.014151642950857087, 0.014150539587789029, 0.014149558192166799, 0.014148708178989458, 0.014147999670756974, 0.01414744359040747, 0.01414705176255588, 0.014146837022423569, 0.014146813331140703, 0.014146995895091292, 0.014147401285556761, 0.01414804755297927, 0.014148954327571905, 0.01415014289459871, 0.014151636228285174, 0.01415345896288474, 0.014155637272890327, 0.014158198626878836, 0.014161171371436293, 0.014164584093902218, 0.014168464706810817, 0.014172839195251296, 0.014177729974263467, 0.01418315382110797, 0.014189119381620447, 0.01419562430524174, 0.014202652141878365, 0.014210169232938099, 0.014218121938543552, 0.014226434643034207, 0.014235009041601373, 0.014243725196894494, 0.014252444734412197, 0.014261016306177439, 0.014269283112217547, 0.014277091885939969, 0.01428430241096432, 0.014290796439187067, 0.01429648489271805, 0.014301312470483446, 0.01430525919274055, 0.014308338902202709, 0.014310595182339897, 0.014312095458507586, 0.014312924171788827, 0.01431317586812921, 0.014312948874705873, 0.014312340005343694, 0.014311440505453389, 0.014310333254469324, 0.014309091108841541, 0.014307776192414129, 0.014306439913672126, 0.01430512349653959, 0.01430385883900662, 0.014302669550395873, 0.014301572055593289, 0.014300576688362165, 0.014299688723747124, 0.014298909321060097, 0.014298236364509135, 0.014297665199131544, 0.014297189266398169, 0.014296800647674706, 0.014296490525513855, 0.014296249573187902, 0.014296068282462269, 0.014295937238723336, 0.014295847351458169, 0.014295790046904688, 0.014295757428548772, 0.014295742410097975, 0.014295738824635482, 0.01429574151286118, 0.014295746392653155, 0.014295750511619876, 0.01429575208384367, 0.014295771349684809, 0.014295829286960021, 0.014295926316065707, 0.014296063141487616, 0.014296240757615399, 0.014296460457039062, 0.014296723841488675, 0.014297032835632334, 0.014297389704007783, 0.014297797071430758, 0.014298257947302209, 0.014298775754327839, 0.014299354362271664, 0.014299998127494086, 0.014300711939178977, 0.014301501273341335, 0.01430237225593331, 0.014303331736644486, 0.014304387375333544, 0.014305547743451639, 0.014306822443344282, 0.014308222248977829, 0.014309759272467682, 0.014311447161837711, 0.014313301336783352, 0.014315339270934396, 0.014317580831341664, 0.014320048688812393, 0.014322768816524525, 0.014325771099382432, 0.014329090083287069, 0.014332765902524559, 0.014336845435745522, 0.014341383757845263, 0.014346445978416831, 0.014352109590240011, 0.014358467497875723, 0.014365631963569919, 0.014373739805788944, 0.014382959331371211, 0.014393499702241724, 0.014405623776010418, 0.014419665990982631, 0.014436057718853201, 0.014455363911395677, 0.014478337239924779, 0.014506000062479383, 0.01453977201674698, 0.014581675037436044, 0.014634675058011724, 0.014703276363417478, 0.014794608920960382, 0.014920541934118122, 0.015102108966852905, 0.015379678284423895, 0.01583932868916503, 0.016693374585063481, 0.018590792272874121, 0.024329088502068455, 0.05397768422657314, 0.060226816931870472, 0.023412690524725364, 0.017386328303229996, 0.015672868677413028, 0.014989136081659596, 0.014658442663877808, 0.014477784694913285, 0.014370506201283884, 0.014302841866751273, 0.014258185000871259, 0.014227662413869014, 0.014206217011878072, 0.014190813830291986, 0.014179552876655307, 0.014171202134826857, 0.014164938669529269, 0.014160198690711601, 0.014156587417812845, 0.014153823116399684, 0.014151701358962645, 0.014150071628118453, 0.014148821659214154, 0.014147866754507583, 0.014147142360697465, 0.014146598830599986, 0.014146197672628501, 0.014145908830089243, 0.014145708683775193, 0.01414557856941666, 0.014145503666151436, 0.014145472155409546, 0.014145474578964159, 0.014145503345103647, 0.014145552345960297, 0.01414561665895862, 0.014145692312422586, 0.014145776100475809, 0.014145865436073294, 0.014145958233719036, 0.014146052815433867, 0.014146147835035166, 0.014146242216915461, 0.01414633510635791, 0.014146425829074079, 0.014146513858146782, 0.014146598786942518, 0.014146680306855371, 0.014146758188975206, 0.014146832268954196, 0.014146902434488252, 0.01414696861494303, 0.014147030772743352, 0.014147088896216862, 0.014147142993639804, 0.014147193088278862, 0.014147239214260515, 0.01414728141312923, 0.014147319730980708, 0.01414735421607631, 0.014147384916861298, 0.014147411880323405, 0.014147435150638942, 0.014147454768063958, 0.014147470768035067, 0.014147483180451654, 0.014147492029117088, 0.014147497331321209, 0.014147499097551124, 0.014147497331321209, 0.014147492029117092, 0.014147483180451653, 0.01414747076803507, 0.014147454768063969, 0.014147435150638946, 0.014147411880323412, 0.014147384916861305, 0.0141473542160763, 0.01414731973098071, 0.014147281413129233, 0.014147239214260523, 0.014147193088278867, 0.014147142993639804, 0.014147088896216862, 0.014147030772743346, 0.014146968614943035, 0.014146902434488259, 0.014146832268954194, 0.014146758188975206, 0.014146680306855374, 0.014146598786942521, 0.014146513858146782, 0.014146425829074076, 0.014146335106357906, 0.01414624221691547, 0.014146147835035162, 0.014146052815433866, 0.014145958233719039, 0.014145865436073289, 0.014145776100475816, 0.014145692312422587, 0.014145616658958627, 0.01414555234596029, 0.014145503345103654, 0.014145474578964165, 0.014145472155409549, 0.014145503666151438, 0.014145578569416659, 0.014145708683775191, 0.014145908830089246, 0.014146197672628502, 0.014146598830599983, 0.014147142360697465, 0.014147866754507585, 0.014148821659214163, 0.014150071628118453, 0.014151701358962645, 0.014153823116399688, 0.014156587417812838, 0.014160198690711596, 0.014164938669529262, 0.014171202134826861, 0.014179552876655311, 0.014190813830291983, 0.014206217011878092, 0.014227662413869017, 0.014258185000871245, 0.014302841866751263, 0.014370506201283809, 0.014477784694913169, 0.014658442663877872, 0.014989136081659409, 0.015672868677413156, 0.017386328303230378, 0.023412690524726543, 0.060226816931832433, 0.053977684226582306, 0.024329088502077777, 0.018590792272873025, 0.016693374585063835, 0.015839328689164895, 0.015379678284423919, 0.015102108966852828, 0.01492054193411815, 0.014794608920960422, 0.014703276363417568, 0.014634675058011776, 0.014581675037436058, 0.014539772016747009, 0.014506000062479377, 0.014478337239924789, 0.01445536391139568, 0.014436057718853205, 0.014419665990982633, 0.014405623776010417, 0.014393499702241724, 0.014382959331371212, 0.014373739805788956, 0.014365631963569919, 0.014358467497875725, 0.014352109590240015, 0.014346445978416836, 0.014341383757845265, 0.01433684543574552, 0.014332765902524561, 0.014329090083287069, 0.014325771099382436, 0.014322768816524533, 0.014320048688812391, 0.014317580831341666, 0.014315339270934396, 0.014313301336783355, 0.014311447161837715, 0.014309759272467682, 0.01430822224897783, 0.014306822443344278, 0.014305547743451641, 0.01430438737533354, 0.014303331736644484, 0.014302372255933306, 0.014301501273341339, 0.014300711939178973, 0.014299998127494079, 0.014299354362271664, 0.014298775754327833, 0.014298257947302207, 0.014297797071430756, 0.014297389704007783, 0.014297032835632339, 0.014296723841488671, 0.014296460457039063, 0.014296240757615396, 0.014296063141487616, 0.014295926316065702, 0.014295829286960019, 0.014295771349684808, 0.014295752083843675, 0.014295761714202642, 0.014295790644358599, 0.014295838991685083, 0.014295906952260649, 0.014295994801557264, 0.014296102895413228, 0.014296231671299727, 0.014296381649893044, 0.014296553436967523, 0.014296747725627482, 0.014296965298899681, 0.01429720703271178, 0.014297473899286105, 0.014297766970982907, 0.01429808742463161, 0.014298436546394826, 0.014298815737215469, 0.014299226518904702, 0.014299670540935975, 0.014300149588019541, 0.014300665588541607, 0.014301220623964394, 0.014301816939295678, 0.014302456954752336, 0.014303143278759147, 0.014303878722444447, 0.014304666315817373, 0.014305509325837977, 0.014306411276623144, 0.014307375972067188, 0.014308407521198756, 0.014309510366645389, 0.01431068931663579, 0.014311949581038583, 0.014313296812018338, 0.01431473714998624, 0.014316277275637957, 0.01431792446900885, 0.014319686676641179, 0.014321572588156025, 0.014323591723761209, 0.014325754534515378, 0.014328072517519996, 0.014330558348639198, 0.014333226035873121, 0.014336091097156662, 0.014339170767155462, 0.014342484238624331, 0.014346052945133966, 0.014349900893529525, 0.014354055056450441, 0.014358545837736996, 0.014363407626737089, 0.014368679461624704, 0.014374405827144828, 0.014380637619110896, 0.014387433317055734, 0.01439486041844709, 0.014402997203906224, 0.014411934924448828, 0.014421780531098606, 0.014432660107493453, 0.014444723221985527, 0.014458148494176416, 0.014473150782295056, 0.014489990558330413, 0.014508986272257858, 0.014530530854405284, 0.014555114029402669, 0.014583352920525698, 0.014616034684886235, 0.014654176939793625, 0.014699115052817825, 0.014752630945527546, 0.014817147734452646, 0.014896031875714737, 0.014994076756470187, 0.015118304355728083, 0.015279349407320821, 0.015493966307960736, 0.015789835153970578, 0.016215431548970143, 0.016862089712047574, 0.017918891044276186, 0.019829460679279813, 0.023829082313509109, 0.034245891085995836, 0.068167135345091445, 0.090220264279518528, 0.040600571458891219, 0.024424500821067053, 0.01921626079164257, 0.017051258114106942, 0.015977505794073695, 0.015377715591945392, 0.015013346825775169, 0.014777858564248226, 0.014618285769031503, 0.014506050232498496, 0.014424704853603882, 0.014364278636599923, 0.014318462230247898, 0.014283117584937782, 0.014255446888122834, 0.014233508397056905, 0.014215923580177012, 0.014201694116425426, 0.014190084238907476, 0.014180543165172024, 0.014172652800888325, 0.014166091770650646, 0.014160610229487579, 0.014156011934514821, 0.014152141294003127, 0.014148873884852415, 0.01414610942318755, 0.014143766493852964, 0.014141778557014904, 0.014140090892895748, 0.014138658243103737, 0.014137442974415182, 0.014136413638073336, 0.014135543831129267, 0.014134811290329685, 0.014134197166421083, 0.014133685439434803, 0.014133262444885369, 0.014132916487784843, 0.014132247178330306, 0.014131982685368857, 0.014131988121721908, 0.014132173432025538, 0.014132477287672654, 0.014132857143464102, 0.014133282946450386, 0.014133733070035195, 0.014134191637219042, 0.014134646729829512, 0.014135089173683666, 0.014135511704511591, 0.014135908389406851, 0.01413627422203567, 0.014136604837361497, 0.014136896309370284, 0.014137145006878293, 0.014137347490196361, 0.014137500436593519, 0.014137600586017519, 0.014137644700948939, 0.014137629535953397, 0.014137551813696143, 0.014137408205064227, 0.014137195311727184, 0.014136909650059147, 0.014136547635939909, 0.014136105570661493, 0.014135579629140613, 0.014134965853104411, 0.014134260154246155, 0.014133458336158124, 0.01413255615021298, 0.014131549411378697, 0.014130434218654038, 0.014129207357791973, 0.014127867023445147, 0.014126414107874831, 0.014124854512983884, 0.01412320335581187, 0.014121492786053551, 0.014119786958858807, 0.014118211853511135, 0.014117017698929838, 0.014116718262880934, 0.014118428273578095, 0.014124774407660291, 0.014142748270524233, 0.014194790855314325, 0.014379731790547783, 0.015543021641679167, 0.073125865596883013, 0.016606457544285802, 0.014901945506557716, 0.014540061350690109, 0.01439955982294615, 0.014328252748860848, 0.014286100104718185, 0.01425860710862812, 0.014239408669888301, 0.014225319520133742, 0.014214587509049579, 0.014206177167985003, 0.014199441193258515, 0.014193956229666578, 0.014189434923704789, 0.014185676088512567, 0.014182535102864494, 0.014179905612429107, 0.014177707823114552, 0.014175880785271797, 0.014174377173745341, 0.014173159674073336, 0.014172198428851871, 0.014171469199937135, 0.014170952023968357, 0.014170630214216773, 0.014170489609703612, 0.014170518003615169, 0.014170704703594602, 0.014171040190321595, 0.014171515850253287, 0.014172123764971161, 0.014172856544207057, 0.014173707192923286, 0.014174669005206976, 0.014175735479480856, 0.014176900250818391, 0.014178157037110777, 0.014179499596554374, 0.014180921694475421, 0.01418241707792813, 0.014183979456824973, 0.014185602490608901, 0.014187279779672367, 0.014189004860880759, 0.014190771206678039, 0.014192572227346292, 0.014194401276064597, 0.01419625165647042, 0.014198116632470727, 0.014199989440084224, 0.014201863301120997, 0.014203731438524509, 0.014205587093212353, 0.014207423542260792, 0.014209234118281098, 0.014211012229836773, 0.014212751382748799, 0.014214445202132876, 0.014216087455007263, 0.014217672073305074, 0.01421919317711872, 0.014220645097998759, 0.014222022402124631, 0.014223319913160877, 0.014224532734609737, 0.014225656271470623, 0.014226686251017053, 0.014227618742505934, 0.0142284501756385, 0.014229177357600497, 0.014229797488519149, 0.01423030817518684, 0.014230707442916529, 0.014230993745410328, 0.014231165972541527, 0.014231223455971248, 0.014231185130407062, 0.014231070263209338, 0.014230879182518835, 0.014230612434093811, 0.014230270779603196, 0.014229855194253099, 0.014229366863761821, 0.014228807180703337, 0.014228177740242837, 0.014227480335291587, 0.014226716951111839, 0.014225889759405572, 0.014225001111923388, 0.014224053533632278, 0.014223049715482739, 0.014221992506817674, 0.014220884907465422, 0.014219730059561432, 0.014218531239141892, 0.014217291847553073, 0.014216015402719497, 0.014214705530312564, 0.014213365954860464, 0.014212000490837689, 0.014210613033770794, 0.014209207551394628, 0.014207788074890109, 0.014206358690231909, 0.014204923529671048, 0.01420348676337398, 0.014202052591235824, 0.014200625234881878, 0.014199208929867048, 0.014197807918079199, 0.014196426440347572, 0.014195068729253184, 0.014193739002133762, 0.014192441454270626, 0.014191180252240513, 0.014189959527410267, 0.014188783369547238, 0.014187655820513326, 0.014186580868004946, 0.014185562439296267, 0.014184604394937298, 0.014183710522352875, 0.01418288452928293, 0.014182130036998798, 0.014181450573224385, 0.014180849564685514, 0.014180330329205059, 0.01417989606725633, 0.014179549852882008, 0.014179294623881939, 0.014179133171169134, 0.014179068127191403, 0.014179101953314645, 0.014179236926065094, 0.014179475122131129, 0.014179818402031379, 0.014180268392366135, 0.014180826466583561, 0.014181493724211455, 0.014182270968531941, 0.014183158682708585, 0.014184157004417334, 0.014185265699081928, 0.014186484131874575, 0.014187811238712492, 0.014189245496561746, 0.014190784893450506, 0.014192426898694967, 0.014194168433950058, 0.014196005845812116, 0.014197934880818509, 0.014199950663804984, 0.014202047680689875, 0.014204219766848483, 0.014206460102312439, 0.014208761215069261, 0.014211114993737008, 0.014213512710838675, 0.014215945057791441, 0.014218402192551043, 0.014220873800605197, 0.014223349169692184, 0.014225817278232796, 0.014228266897015767, 0.014230686703179538, 0.014233065405008107, 0.014235391875527243, 0.014237655292379945, 0.014239845281004098, 0.014241952057764443, 0.014243966569431197, 0.014245880625274852, 0.01424768701807662, 0.014249379630546398, 0.014250953523990865, 0.014252405006573234, 0.014253731679128823, 0.014254932457216086, 0.01425600756885408, 0.014256958528182226, 0.014257788086036333, 0.014258500159127049, 0.014259099740100182, 0.014259592791228747, 0.014259986124816068, 0.014260287273574443, 0.014260504354284506, 0.014260645927951024, 0.014260720859466352, 0.014260738179497382, 0.014260706950950148, 0.014260636141963153, 0.01426053450696173, 0.014260410476892428, 0.014260272059367918, 0.014260126749103463, 0.014259981448727329, 0.014259842399804767, 0.014259715123733537, 0.014259604372045692, 0.014259514085585855, 0.014259447362023061, 0.014259406431186101, 0.014259392637785383], [0.014297860246967616, 0.014297809677671417, 0.014297658089989375, 0.014297405844128934, 0.014297053539065343, 0.01429660201049813, 0.014296052328014775, 0.014295405791485364, 0.014294663926718999, 0.014293828480418866, 0.014292901414478065, 0.014291884899664516, 0.014290781308747617, 0.014289593209124008, 0.014288323355003558, 0.014286974679220502, 0.01428555028473727, 0.01428405343591101, 0.014282487549595092, 0.014280856186148933, 0.014279163040431286, 0.014277411932851912, 0.014275606800558569, 0.014273751688834919, 0.01427185074278643, 0.014269908199390977, 0.01426792837999083, 0.014265915683303845, 0.014263874579031506, 0.014261809602143101, 0.01425972534791679, 0.014257626467820313, 0.014255517666317526, 0.014253403698690889, 0.01425128936997516, 0.014249179535103889, 0.014247079100378856, 0.014244993026381785, 0.014242926332459434, 0.014240884102927271, 0.014238871495152544, 0.014236893749696628, 0.014234956202717825, 0.014233064300859936, 0.01423122361887947, 0.014229439880294138, 0.014227718981368364, 0.014226067018786356, 0.014224490321399401, 0.014222995486470356, 0.014221589420871525, 0.014220279387719973, 0.014219073058951153, 0.014217978574330905, 0.014217004607376828, 0.014216160438589998, 0.014215456036266874, 0.014214902144944154, 0.014214510381191994, 0.014214293335967824, 0.014214264682016281, 0.014214439283775854, 0.014214833305838863, 0.014215464314098012, 0.014216351361176835, 0.014217515044449902, 0.01421897752079194, 0.014220762457072321, 0.014222894889346735, 0.014225400956875987, 0.014228307469993144, 0.014231641264343826, 0.014235428289643876, 0.014239692381098587, 0.014244453669126429, 0.014249726601895633, 0.014255517589583756, 0.014261822332697899, 0.014268622970411531, 0.014275885275275407, 0.014283556217435689, 0.014291562305596682, 0.01429980915633064, 0.014308182717286665, 0.014316552448036139, 0.014324776536813008, 0.01433270892306599, 0.014340207558278101, 0.014347143049390037, 0.01435340667204095, 0.01435891677096756, 0.014363622789514873, 0.014367506540786419, 0.014370580760027707, 0.014372885361361446, 0.014374482083707389, 0.014375448314871076, 0.014375870838842727, 0.014375840101293041, 0.014375445386934709, 0.014374771099792922, 0.014373894167971727, 0.014372882474598822, 0.014371794147629218, 0.014370677514963881, 0.014369571535748417, 0.014368506541580887, 0.014367505152685681, 0.014366583266849231, 0.014365751048800307, 0.014365013872678419, 0.01436437318969867, 0.014363827307414381, 0.014363372076864004, 0.014363001490273758, 0.014362708195741918, 0.01436248393720896, 0.014362319928624252, 0.014362207171015202, 0.014362136720484704, 0.014362099914240764, 0.014362088560754747, 0.014362095099149742, 0.014362112731996621, 0.01436213553487006, 0.014362158545302095, 0.01436217783316285, 0.014362190553988336, 0.014362194986348477, 0.01436221311595922, 0.014362267637302615, 0.014362358948953992, 0.014362487718697838, 0.014362654888835393, 0.014362861683755682, 0.014363109619914908, 0.014363400518417278, 0.014363736520444271, 0.014364120105839651, 0.014364554115227848, 0.014365041776124264, 0.014365586733591699, 0.014366193086110769, 0.014366865427467266, 0.014367608895623583, 0.014368429229738789, 0.014369332836744146, 0.014370326869176995, 0.014371419316342246, 0.014372619111324439, 0.01437393625693998, 0.014375381974430458, 0.014376968879595468, 0.014378711192204113, 0.014380624985982289, 0.014382728488349067, 0.014385042441507564, 0.014387590539669365, 0.014390399961368634, 0.01439350202136019, 0.014396932974007084, 0.014400735010068798, 0.014404957502443772, 0.014409658575216389, 0.014414907096544175, 0.014420785232840785, 0.014427391754432972, 0.014434846359208114, 0.014443295392958225, 0.01445291951269077, 0.014463944093880011, 0.014476653577284195, 0.014491411575430633, 0.014508689570128231, 0.014529108712411205, 0.0145535021080607, 0.014583010039613011, 0.014619229846245998, 0.014664459849104061, 0.014722111992106065, 0.014797442276485842, 0.014898915360909227, 0.015040925704852359, 0.015249679063262071, 0.015577273190337495, 0.016140254448479396, 0.017246646788990034, 0.019945008611370399, 0.029652334438415189, 0.081701333200598622, 0.037796455453548865, 0.020101419431450367, 0.016565272140111231, 0.015398258824148203, 0.014893037160813978, 0.014636193919791192, 0.01449116152860804, 0.014403020609734011, 0.014346486915464538, 0.014308711683681138, 0.014282655111942698, 0.014264224669592266, 0.014250924655167694, 0.014241172027469808, 0.014233929028182938, 0.014228496097493217, 0.014224390240636632, 0.014221271016504179, 0.014218894101704739, 0.014217081363385059, 0.014215701109251277, 0.014214654776475469, 0.014213867789701766, 0.014213283175123895, 0.01421285703096643, 0.014212555269790608, 0.014212351245698982, 0.014212224005984852, 0.014212156989177242, 0.014212137046024852, 0.014212153696689224, 0.014212198562475509, 0.01421226492775326, 0.014212347399841981, 0.014212441643216719, 0.014212544170525943, 0.014212652177348128, 0.014212763410845925, 0.014212876064855174, 0.014212988695708976, 0.014213100154415355, 0.01421320953179895, 0.014213316113969046, 0.014213419346050485, 0.014213518802553927, 0.014213614163102368, 0.014213705192494937, 0.01421379172429495, 0.014213873647291115, 0.014213950894308242, 0.01421402343294474, 0.014214091257894558, 0.014214154384575508, 0.014214212843837041, 0.014214266677562523, 0.014214315935014075, 0.014214360669795582, 0.014214400937331693, 0.014214436792778491, 0.0142144682892969, 0.014214495476631842, 0.014214518399950834, 0.014214537098904105, 0.014214551606875663, 0.014214561950401038, 0.014214568148732915, 0.014214570213540506, 0.014214568148732919, 0.014214561950401038, 0.014214551606875661, 0.014214537098904106, 0.014214518399950835, 0.014214495476631846, 0.014214468289296912, 0.014214436792778493, 0.014214400937331688, 0.014214360669795582, 0.014214315935014071, 0.014214266677562532, 0.014214212843837044, 0.014214154384575505, 0.01421409125789456, 0.014214023432944735, 0.014213950894308248, 0.014213873647291122, 0.014213791724294945, 0.014213705192494937, 0.014213614163102377, 0.014213518802553931, 0.01421341934605049, 0.014213316113969041, 0.01421320953179895, 0.014213100154415358, 0.014212988695708976, 0.014212876064855169, 0.014212763410845932, 0.01421265217734812, 0.014212544170525946, 0.014212441643216719, 0.014212347399841983, 0.014212264927753255, 0.01421219856247552, 0.014212153696689227, 0.014212137046024854, 0.014212156989177247, 0.014212224005984851, 0.014212351245698975, 0.014212555269790612, 0.014212857030966437, 0.014213283175123891, 0.014213867789701767, 0.014214654776475474, 0.014215701109251281, 0.014217081363385058, 0.014218894101704732, 0.014221271016504186, 0.014224390240636622, 0.014228496097493212, 0.014233929028182933, 0.014241172027469808, 0.014250924655167694, 0.014264224669592264, 0.014282655111942717, 0.014308711683681145, 0.014346486915464515, 0.014403020609733993, 0.014491161528607945, 0.014636193919791042, 0.014893037160814068, 0.015398258824147934, 0.016565272140111512, 0.020101419431451065, 0.03779645545355257, 0.081701333200627071, 0.029652334438417024, 0.01994500861137425, 0.017246646788989427, 0.016140254448479652, 0.015577273190337405, 0.01524967906326208, 0.0150409257048523, 0.014898915360909242, 0.014797442276485875, 0.01472211199210614, 0.014664459849104101, 0.01461922984624601, 0.014583010039613035, 0.014553502108060699, 0.014529108712411211, 0.014508689570128235, 0.014491411575430638, 0.014476653577284199, 0.014463944093880014, 0.014452919512690773, 0.014443295392958227, 0.014434846359208119, 0.014427391754432976, 0.014420785232840783, 0.014414907096544175, 0.014409658575216391, 0.014404957502443775, 0.014400735010068793, 0.014396932974007084, 0.014393502021360194, 0.014390399961368637, 0.01438759053966937, 0.014385042441507562, 0.014382728488349069, 0.014380624985982284, 0.01437871119220412, 0.014376968879595466, 0.01437538197443046, 0.014373936256939987, 0.014372619111324434, 0.014371419316342246, 0.014370326869176992, 0.014369332836744141, 0.014368429229738792, 0.014367608895623579, 0.014366865427467264, 0.014366193086110765, 0.014365586733591701, 0.014365041776124255, 0.01436455411522785, 0.014364120105839647, 0.014363736520444269, 0.014363400518417281, 0.014363109619914907, 0.014362861683755683, 0.014362654888835393, 0.014362487718697838, 0.014362358948953989, 0.014362267637302615, 0.014362213115959215, 0.014362194986348482, 0.014362204048738229, 0.014362231273122918, 0.014362276771272912, 0.014362340729886956, 0.014362423411218305, 0.01436252515395961, 0.014362646374394637, 0.014362787567827809, 0.014362949310304938, 0.014363132260641657, 0.014363337162778869, 0.014363564848487982, 0.014363816240452328, 0.014364092355755236, 0.014364394309809202, 0.014364723320766217, 0.014365080714453991, 0.014365467929889639, 0.014365886525428711, 0.014366338185615659, 0.014366824728810375, 0.014367348115675829, 0.014367910458622913, 0.014368514032321981, 0.014369161285405635, 0.014369854853504414, 0.01437059757377746, 0.014371392501122709, 0.014372242926278714, 0.014373152396060705, 0.014374124736010359, 0.014375164075780846, 0.014376274877628811, 0.014377461968443325, 0.01437873057581085, 0.014380086368697137, 0.01438153550342338, 0.014383084675729524, 0.014384741179854764, 0.014386512975730282, 0.014388408765576961, 0.014390438081439546, 0.014392611385478028, 0.014394940185187976, 0.014397437166150833, 0.014400116345440183, 0.014402993249457402, 0.014406085120769917, 0.014409411159519438, 0.014412992806209201, 0.014416854074237897, 0.014421021942515693, 0.014425526820995949, 0.014430403105147694, 0.014435689839496399, 0.014441431515670552, 0.014447679037311876, 0.014454490893296038, 0.014461934592739157, 0.014470088431322253, 0.014479043680087164, 0.014488907317250582, 0.014499805463944693, 0.014511887740813368, 0.014525332841046706, 0.014540355727234121, 0.014557217020439588, 0.014576235385159782, 0.014597804062874213, 0.014622413233509778, 0.014650680693229969, 0.014683394604992048, 0.014721574109418996, 0.014766556915994232, 0.01482012860963104, 0.014884718153315293, 0.014963701553662391, 0.015061888229550834, 0.015186327947077338, 0.015347705468427722, 0.015562869467334485, 0.015859687844556814, 0.016287036917187577, 0.01693718334501345, 0.018001635809009358, 0.019931352900942178, 0.02398870449320846, 0.034629713709837348, 0.069409304211260611, 0.088943815246225147, 0.039835482227257878, 0.024211583402034813, 0.019159961322649799, 0.017051807813471861, 0.016003565922614586, 0.015417065210042996, 0.015060401076542839, 0.014829749204789168, 0.014673403498510902, 0.014563427619189225, 0.014483727350073068, 0.014424537886096111, 0.014379676549583092, 0.014345086448799017, 0.014318023652980488, 0.014296583302978763, 0.014279412793766993, 0.01426553245685158, 0.014254220222393579, 0.014244935550707195, 0.014237268132663754, 0.014230902597275113, 0.014225593792097976, 0.014221149185731474, 0.014217416154222727, 0.014214272671392201, 0.014211620407070268, 0.014209379552054192, 0.01420748489694916, 0.014205882832163974, 0.014204529031942638, 0.014203386651453612, 0.014202424912295845, 0.014201617984629033, 0.014200944097679769, 0.014200384827425009, 0.014199924522722025, 0.014199549840352712, 0.014198833227776222, 0.014198560863688262, 0.014198581838103515, 0.014198796323712751, 0.01419913693623567, 0.014199557338143199, 0.014200025090592632, 0.014200517069552445, 0.014201016469184761, 0.014201510809863293, 0.014201990594714435, 0.014202448392176397, 0.014202878202772662, 0.014203275018094179, 0.014203634511312319, 0.014203952818600521, 0.014204226383886897, 0.014204451847967875, 0.014204625968768012, 0.014204745563426407, 0.014204807465559155, 0.014204808492900624, 0.014204745421837571, 0.014204614966307079, 0.014204413759269004, 0.014204138335596677, 0.014203785115860115, 0.014203350391224119, 0.014202830310709487, 0.014202220873613253, 0.014201517932348404, 0.01420071721501002, 0.014199814383758615, 0.014198805156687174, 0.014197685540945961, 0.014196452260527334, 0.014195103526685772, 0.014193640419100163, 0.01419206937624305, 0.014190406750921656, 0.014188687333523364, 0.014186980800235623, 0.014185424764609392, 0.014184294723165401, 0.014184162221357677, 0.01418628455444941, 0.014193680686107291, 0.014214607096038319, 0.014276710095070222, 0.014511454050646964, 0.016288283043445321, 0.048802669117288457, 0.016078502796109992, 0.014871354900121337, 0.014573363158512317, 0.014450658782778151, 0.014386382872141237, 0.014347626724164543, 0.014322003923296975, 0.014303934398855885, 0.014290574574252379, 0.014280338868888116, 0.014272280321094689, 0.014265801954620834, 0.014260510642723725, 0.014256138026923413, 0.014252495317220771, 0.014249446247936977, 0.01424689025484824, 0.014244751654316413, 0.014242972477432043, 0.01424150760178856, 0.014240321368620879, 0.014239385184392503, 0.014238675789542073, 0.014238173988535427, 0.014237863704750612, 0.014237731267931028, 0.01423776487070719, 0.014237954149766353, 0.014238289860126558, 0.014238763619804883, 0.014239367708319706, 0.014240094906808054, 0.014240938370643389, 0.014241891527685542, 0.014242947996938884, 0.014244101523610435, 0.014245345927468164, 0.014246675062084132, 0.014248082783067828, 0.014249562923793814, 0.014251109277435699, 0.014252715584357367, 0.014254375524098972, 0.014256082711341321, 0.014257830695346863, 0.014259612962465975, 0.014261422941367247, 0.014263254010706159, 0.014265099508988535, 0.014266952746417771, 0.014268807018538738, 0.01427065562150865, 0.014272491868836272, 0.014274309109438704, 0.014276100746867509, 0.014277860259556624, 0.014279581221942513, 0.014281257326303321, 0.01428288240515849, 0.01428445045406522, 0.014285955654642173, 0.014287392397644894, 0.01428875530591295, 0.014290039257004608, 0.014291239405332137, 0.014292351203610392, 0.014293370423431271, 0.014294293174780946, 0.014295115924320935, 0.014295835512262359, 0.014296449167672585, 0.014296954522065492, 0.014297349621141797, 0.014297632934561804, 0.014297803363652077, 0.014297860246967616, 0.01429782232151461, 0.014297708653536339, 0.014297519567834895, 0.014297255604616272, 0.014296917517801839, 0.014296506272680132, 0.014296023042914238, 0.014295469206924453, 0.014294846343669499, 0.014294156227853374, 0.014293400824588284, 0.014292582283547, 0.014291702932640652, 0.014290765271260325, 0.01428977196312247, 0.014288725828760033, 0.014287629837701443, 0.014286487100381199, 0.014285300859825073, 0.014284074483153188, 0.014282811452943429, 0.014281515358496526, 0.014280189887042943, 0.014278838814929515, 0.014277465998821872, 0.014276075366956489, 0.014274670910472782, 0.014273256674853321, 0.014271836751496526, 0.014270415269442996, 0.014268996387272727, 0.014267584285186836, 0.014266183157282963, 0.014264797204029987, 0.014263430624942772, 0.014262087611453332, 0.014260772339970702, 0.014259488965116503, 0.01425824161311868, 0.014257034375341173, 0.014255871301921902, 0.014254756395486614, 0.014253693604900794, 0.014252686819016504, 0.01425173986036566, 0.014250856478745607, 0.014250040344637404, 0.014249295042391499, 0.014248624063109941, 0.014248030797148656, 0.014247518526158135, 0.014247090414575583, 0.014246749500477161, 0.014246498685694872, 0.014246340725099511, 0.014246278214949363, 0.014246313580203755, 0.014246449060702318, 0.014246686696114988, 0.014247028309574777, 0.01424747548991645, 0.014248029572459731, 0.014248691618296293, 0.014249462392066868, 0.014250342338248841, 0.014251331556016806, 0.014252429772789269, 0.014253636316635229, 0.014254950087784529, 0.014256369529566507, 0.014257892599191541, 0.014259516738889552, 0.014261238848025931, 0.014263055256926968, 0.014264961703259624, 0.01426695331192024, 0.01426902457948735, 0.014271169364379017, 0.014273380883916099, 0.014275651719521885, 0.014277973831276386, 0.014280338582980823, 0.014282736778767412, 0.014285158712104543, 0.014287594227794105, 0.01429003279723624, 0.014292463606850412, 0.01429487565909991, 0.01429725788508362, 0.014299599267152723, 0.014301888969505754, 0.014304116474239383, 0.014306271719913669, 0.014308345239358635, 0.014310328293229303, 0.014312212995731042, 0.014313992428999672, 0.01431566074283855, 0.014317213236881097, 0.014318646422750405, 0.014319958064402543, 0.014321147195536062, 0.014322214113690966, 0.014323160351405878, 0.014323988625514403, 0.014324702766304325, 0.014325307628807155, 0.014325808988908558, 0.014326213427258486, 0.014326528204110265, 0.014326761128233681, 0.014326920422941425, 0.014327014592057484, 0.01432705228836312, 0.014327042186704178, 0.014326992863556608, 0.014326912684448436, 0.014326809700246331, 0.014326691552950136, 0.014326565391312881, 0.014326437796326544, 0.0143263147163904, 0.014326201411812586, 0.014326102408184703, 0.014326021458112927, 0.014325961510780848, 0.014325924688853971, 0.014325912272307005], [0.014329396747840987, 0.014329346742641483, 0.014329196845847195, 0.014328947413462899, 0.014328599037473808, 0.01432815254382345, 0.014327608989607273, 0.014326969659505355, 0.014326236061484837, 0.01432540992180872, 0.014324493179392755, 0.014323487979558295, 0.014322396667233533, 0.014321221779659811, 0.014319966038663716, 0.014318632342559414, 0.014317223757748063, 0.014315743510083774, 0.014314194976077856, 0.014312581674013924, 0.014310907255048411, 0.014309175494370765, 0.014307390282499419, 0.01430555561678858, 0.014303675593222001, 0.01430175439856975, 0.014299796302983867, 0.014297805653109709, 0.014295786865789918, 0.014293744422439129, 0.014291682864169184, 0.014289606787746392, 0.014287520842465687, 0.014285429728030232, 0.014283338193530063, 0.014281251037619309, 0.014279173109999729, 0.014277109314327078, 0.014275064612668115, 0.014273044031649296, 0.014271052670453258, 0.014269095710836972, 0.014267178429365594, 0.014265306212078712, 0.014263484571831178, 0.014261719168578178, 0.0142600158329046, 0.014258380593129684, 0.014256819706350248, 0.014255339693816541, 0.014253947381061833, 0.014252649943227244, 0.014251454956030907, 0.014250370452819345, 0.01424940498809699, 0.014248567707845657, 0.01424786842679822, 0.014247317712596011, 0.014246926976403465, 0.014246708569032795, 0.01424667588088988, 0.014246843443020307, 0.014247227025126027, 0.014247843724538186, 0.014248712037659133, 0.014249851902213334, 0.014251284694676328, 0.014253033162434536, 0.014255121264617856, 0.014257573889365919, 0.014260416409044302, 0.014263674029533702, 0.014267370886651334, 0.014271528844190829, 0.014276165956879668, 0.014281294581226544, 0.014286919151345168, 0.014293033688113752, 0.014299619178789243, 0.014306641046383729, 0.014314047013271125, 0.014321765733644232, 0.014329706600121828, 0.014337761094508208, 0.014345805931100289, 0.014353708029369413, 0.014361331073382003, 0.01436854311809202, 0.014375224457241275, 0.014381274843637902, 0.014386619195211878, 0.01439121113119117, 0.014395034016262458, 0.014398099567534134, 0.014400444413364353, 0.014402125218627283, 0.014403213078665718, 0.014403787843399253, 0.014403932900542388, 0.014403730769989411, 0.014403259683179209, 0.014402591171483391, 0.014401788580743976, 0.014400906366502406, 0.014399989999463705, 0.014399076312981478, 0.014398194143311794, 0.014397365140323656, 0.014396604655005576, 0.014395922636603234, 0.014395324494608112, 0.01439481189847402, 0.014394383501064445, 0.01439403558104415, 0.014393762605487736, 0.014393557717641215, 0.014393413156701885, 0.014393320617219093, 0.014393271555679394, 0.014393257451333456, 0.014393270027565679, 0.014393301439249339, 0.014393344430664404, 0.01439339246774044, 0.014393439847652583, 0.014393481788157551, 0.014393514498509546, 0.014393535233334609, 0.014393542330455837, 0.014393559379290384, 0.014393610651586538, 0.014393696525673827, 0.014393817635292476, 0.014393974874442252, 0.014394169404297309, 0.014394402662317575, 0.014394676373730292, 0.014394992565603669, 0.014395353583788529, 0.014395762113066393, 0.014396221200914347, 0.014396734285381926, 0.014397305227675464, 0.01439793835016453, 0.01439863848066935, 0.014399411004060713, 0.014400261922415848, 0.014401197925231184, 0.014402226471510821, 0.014403355885942109, 0.014404595471857955, 0.014405955644296493, 0.014407448087236895, 0.014409085940062289, 0.014410884019538779, 0.014412859085185914, 0.014415030157960735, 0.014417418904836736, 0.014420050105341281, 0.014422952220707622, 0.014426158092410492, 0.014429705805057445, 0.014433639759724235, 0.014438012019035561, 0.014442884006335944, 0.014448328670738874, 0.014454433271545176, 0.014461302995372573, 0.014469065706461285, 0.014477878259407832, 0.014487934997148833, 0.014499479353284946, 0.014512819940366588, 0.014528353243751246, 0.014546596246740366, 0.014568234337003287, 0.014594193344206405, 0.014625750814971725, 0.014664713243985562, 0.014713708482465709, 0.0147766883636347, 0.014859835425453429, 0.014973295898790989, 0.01513473350686138, 0.015377285923764781, 0.015769504386841732, 0.016473443254611111, 0.017953842993592581, 0.022015666721728566, 0.040182632802350383, 0.080760345428803657, 0.027065619260987498, 0.018205250508233722, 0.015998418226771512, 0.01517795031087946, 0.01479777523990777, 0.014596009041252175, 0.01447870164480556, 0.01440591584017659, 0.014358518207286003, 0.01432649056351964, 0.014304215005860802, 0.01428836461377142, 0.014276879829227249, 0.014268437948224341, 0.014262162844700667, 0.014257458737413006, 0.014253911225955122, 0.014251226370269848, 0.014249192080765728, 0.014247653014251856, 0.014246493877536589, 0.014245628096581323, 0.014244989986670467, 0.014244529253034781, 0.014244207070972178, 0.014243993254166209, 0.014243864183994337, 0.014243801278323287, 0.01424378984758713, 0.014243818232114057, 0.014243877145887544, 0.014243959173331988, 0.01424405838057452, 0.014244170013077475, 0.014244290258954699, 0.014244416062610486, 0.014244544977199085, 0.014244675047226044, 0.01424480471469431, 0.014244932743746474, 0.014245058159914387, 0.014245180200962016, 0.014245298276973122, 0.014245411937842369, 0.014245520846720415, 0.014245624758265135, 0.014245723500786697, 0.014245816961557765, 0.014245905074704881, 0.014245987811210692, 0.014246065170647427, 0.014246137174333985, 0.01424620385966632, 0.01424626527541753, 0.014246321477840924, 0.014246372527439785, 0.014246418486292114, 0.014246459415838525, 0.014246495375058165, 0.014246526418970781, 0.014246552597414764, 0.014246573954060114, 0.014246590525623101, 0.014246602341256825, 0.01424660942209691, 0.014246611780947518, 0.014246609422096915, 0.014246602341256825, 0.014246590525623102, 0.014246573954060114, 0.01424655259741478, 0.014246526418970784, 0.014246495375058177, 0.01424645941583853, 0.014246418486292113, 0.014246372527439785, 0.014246321477840924, 0.014246265275417537, 0.014246203859666321, 0.014246137174333984, 0.014246065170647427, 0.014245987811210685, 0.014245905074704886, 0.014245816961557767, 0.014245723500786695, 0.014245624758265135, 0.014245520846720417, 0.014245411937842376, 0.014245298276973125, 0.014245180200962018, 0.014245058159914378, 0.014244932743746483, 0.014244804714694304, 0.014244675047226039, 0.014244544977199087, 0.01424441606261048, 0.014244290258954701, 0.014244170013077477, 0.014244058380574522, 0.014243959173331983, 0.014243877145887549, 0.014243818232114062, 0.014243789847587134, 0.014243801278323292, 0.014243864183994334, 0.014243993254166204, 0.014244207070972181, 0.01424452925303479, 0.014244989986670462, 0.014245628096581323, 0.014246493877536598, 0.014247653014251861, 0.014249192080765721, 0.014251226370269852, 0.014253911225955124, 0.014257458737413001, 0.01426216284470066, 0.014268437948224334, 0.014276879829227254, 0.014288364613771426, 0.014304215005860797, 0.014326490563519661, 0.014358518207286012, 0.014405915840176569, 0.014478701644805532, 0.01459600904125204, 0.014797775239907541, 0.015177950310879601, 0.015998418226771054, 0.018205250508234315, 0.027065619260989889, 0.08076034542881172, 0.040182632802368688, 0.022015666721729336, 0.017953842993594541, 0.016473443254610795, 0.015769504386841868, 0.015377285923764729, 0.015134733506861384, 0.014973295898790945, 0.014859835425453445, 0.014776688363634723, 0.014713708482465773, 0.014664713243985602, 0.014625750814971727, 0.014594193344206429, 0.014568234337003279, 0.014546596246740371, 0.014528353243751247, 0.014512819940366593, 0.014499479353284946, 0.014487934997148833, 0.014477878259407835, 0.014469065706461288, 0.014461302995372578, 0.014454433271545183, 0.014448328670738871, 0.014442884006335944, 0.014438012019035565, 0.014433639759724238, 0.014429705805057442, 0.014426158092410494, 0.014422952220707627, 0.014420050105341285, 0.01441741890483674, 0.01441503015796073, 0.014412859085185917, 0.014410884019538777, 0.014409085940062296, 0.014407448087236895, 0.014405955644296491, 0.014404595471857956, 0.014403355885942108, 0.014402226471510821, 0.014401197925231181, 0.014400261922415844, 0.014399411004060711, 0.014398638480669355, 0.014397938350164532, 0.014397305227675457, 0.014396734285381928, 0.014396221200914336, 0.014395762113066391, 0.014395353583788526, 0.014394992565603667, 0.014394676373730294, 0.014394402662317573, 0.014394169404297309, 0.01439397487444225, 0.014393817635292473, 0.014393696525673821, 0.014393610651586538, 0.014393559379290386, 0.014393542330455844, 0.014393550852592585, 0.014393576454484462, 0.014393619242689349, 0.014393679395181177, 0.014393757161919761, 0.014393852865655943, 0.014393966902979539, 0.014394099745619759, 0.014394251942010333, 0.0143944241191341, 0.014394616984664441, 0.014394831329424108, 0.014395068030184994, 0.014395328052836318, 0.014395612455952018, 0.014395922394793186, 0.01439625912578559, 0.014396624011518205, 0.014397018526314446, 0.014397444262434871, 0.014397902936977621, 0.014398396399552045, 0.014398926640810647, 0.014399495801936031, 0.014400106185192803, 0.014400760265669072, 0.014401460704350052, 0.014402210362685481, 0.014403012318836589, 0.014403869885814267, 0.014404786631752034, 0.014405766402593159, 0.01440681334751422, 0.014407931947456962, 0.01440912704719894, 0.014410403891462718, 0.014411768165644713, 0.014413226041842059, 0.014414784230970815, 0.014416450041906755, 0.014418231448744706, 0.014420137167470457, 0.014422176743578725, 0.014424360652459363, 0.014426700414726872, 0.014429208729096622, 0.014431899625938507, 0.014434788645286212, 0.014437893043881992, 0.014441232036832782, 0.014444827080697642, 0.014448702206388319, 0.014452884412236989, 0.014457404130089203, 0.014462295780479353, 0.014467598437059531, 0.014473356625776798, 0.014479621291235431, 0.014486450971796919, 0.014493913237039991, 0.014502086457315192, 0.014511061996830988, 0.014520946951218429, 0.014531867591053025, 0.014543973729086064, 0.014557444307968804, 0.014572494617623942, 0.014589385713326623, 0.014608436842196513, 0.014630042037052891, 0.014654692566765876, 0.014683007747227026, 0.014715777895074451, 0.014754025254688828, 0.014799092092167778, 0.014852770821301672, 0.014917500878714894, 0.014996674760561365, 0.01509512863442632, 0.015219957181573972, 0.015381923690486432, 0.015598020853795205, 0.015896396378271387, 0.016326510051966878, 0.016981958176154246, 0.01805764636961172, 0.02001462894228211, 0.024152048143025663, 0.035097234647217208, 0.070985927212149733, 0.08725380351864169, 0.038911034640146704, 0.023929267513536533, 0.019056115493387663, 0.017011892847935237, 0.015991982873454009, 0.015420064477289731, 0.015071757717153394, 0.014846295198180582, 0.014693376882174761, 0.014585778066966969, 0.01450779299715302, 0.014449882286040626, 0.01440600082419285, 0.014372179295708425, 0.014345731556325795, 0.01432479207075813, 0.014308035719921642, 0.014294502502827884, 0.014283484717099513, 0.014274452513738121, 0.014267003670538344, 0.014260829025127028, 0.01425568825590035, 0.014251392636265408, 0.014247792572389379, 0.014244768475882071, 0.0142422239961973, 0.014240080945573151, 0.014238275453270702, 0.014236755023053695, 0.014235476261494269, 0.014234403109486394, 0.014233505454754419, 0.014232758035339946, 0.014232139567129749, 0.01423163204520521, 0.014231220181018599, 0.014230437394589878, 0.014230144870209705, 0.014230173101132105, 0.014230410987746434, 0.014230784190049962, 0.01423124202467667, 0.014231749319084374, 0.014232281229128856, 0.014232819875241847, 0.014233352120748796, 0.014233868082278528, 0.014234360117988332, 0.014234822132669255, 0.014235249095975977, 0.014235636705757832, 0.014235981151202184, 0.014236278945204397, 0.014236526805029407, 0.014236721566750585, 0.014236860123277042, 0.014236939378730922, 0.014236956213975999, 0.014236907459534889, 0.014236789873174652, 0.01423660012024074, 0.014236334755498329, 0.014235990205911441, 0.014235562754581783, 0.014235048527153526, 0.014234443483627825, 0.014233743421145275, 0.014232943997601876, 0.01423204079321231, 0.014231029439552165, 0.014229905867275116, 0.014228666762267889, 0.014227310390265192, 0.014225838081400969, 0.014224256919844287, 0.014222584691089011, 0.014220859197933276, 0.014219156375645409, 0.014217627025628333, 0.014216575418521647, 0.014216639501650875, 0.014219242803514168, 0.014227871702547726, 0.014252340246045471, 0.014327058765614102, 0.014630497155421369, 0.017545756007620813, 0.029255309657090466, 0.015714861091013513, 0.014824917621715275, 0.014576265672111347, 0.014468395702381232, 0.014410229880500919, 0.014374504516770087, 0.01435058161175031, 0.014333552311387485, 0.014320871641860288, 0.014311101999851368, 0.014303376070682846, 0.014297142640518869, 0.014292036305983781, 0.014287806255640979, 0.014284275222165068, 0.01428131474777075, 0.014278829704179806, 0.014276748282782373, 0.014275015335110323, 0.014273587830045134, 0.014272431685579871, 0.014271519515240244, 0.014270828996605809, 0.014270341671387436, 0.014270042050295473, 0.014269916936722818, 0.014269954909898944, 0.014270145925889727, 0.014270481006811478, 0.01427095199687674, 0.014271551369646258, 0.014272272074935408, 0.014273107416741707, 0.014274050955676883, 0.014275096430939136, 0.014276237698010459, 0.014277468679124973, 0.014278783324203178, 0.014280175580441961, 0.014281639369129672, 0.014283168568548846, 0.014284757002057238, 0.014286398430615858, 0.014288086549172515, 0.014289814986419012, 0.01429157730752666, 0.014293367019531862, 0.014295177579096919, 0.014297002402411243, 0.014298834877029439, 0.014300668375465403, 0.014302496270378202, 0.014304311951195711, 0.014306108842029487, 0.014307880420736319, 0.01430962023898235, 0.014311321943163318, 0.014312979296030655, 0.014314586198867722, 0.014316136714055237, 0.014317625087858846, 0.01431904577326585, 0.014320393452693635, 0.01432166306038778, 0.014322849804325469, 0.014323949187438989, 0.014324957027974098, 0.014325869478802208, 0.014326683045509455, 0.014327394603093797, 0.014328001411111096, 0.014328501127122865, 0.014328891818313609, 0.014329171971161321, 0.014329340499063458, 0.014329396747840987, 0.014329359245450226, 0.014329246845483661, 0.014329059869222236, 0.01432879885101632, 0.014328464536616469, 0.014328057880852202, 0.014327580044673641, 0.014327032391575715, 0.014326416483427818, 0.014325734075735818, 0.014324987112366426, 0.014324177719766986, 0.01432330820071631, 0.014322381027644408, 0.0143213988355608, 0.01432036441463275, 0.014319280702455108, 0.014318150776055019, 0.014316977843673934, 0.01431576523636973, 0.014314516399480844, 0.014313234883993145, 0.014311924337849325, 0.014310588497237988, 0.014309231177898174, 0.014307856266472444, 0.014306467711938612, 0.014305069517147507, 0.014303665730490795, 0.014302260437719472, 0.014300857753929745, 0.014299461815729579, 0.014298076773594601, 0.014296706784418476, 0.014295356004258204, 0.014294028581270176, 0.014292728648829014, 0.01429146031881569, 0.014290227675057133, 0.014289034766894734, 0.014287885602853764, 0.014286784144380999, 0.014285734299612572, 0.014284739917128583, 0.014283804779645953, 0.014282932597595206, 0.014282127002521707, 0.014281391540246073, 0.014280729663713153, 0.014280144725453723, 0.014279639969577564, 0.014279218523212156, 0.014278883387296598, 0.014278637426637035, 0.01427848335912677, 0.014278423744033368, 0.014278460969254838, 0.014278597237449385, 0.014278834550948217, 0.01427917469536861, 0.01427961922185657, 0.014280169427904655, 0.014280826336712375, 0.01428159067508448, 0.014282462849897645, 0.014283442923208909, 0.014284530586130766, 0.014285725131658815, 0.014287025426708268, 0.014288429883695787, 0.01428993643209241, 0.014291542490470951, 0.014293244939675254, 0.014295040097846193, 0.014296923698147805, 0.014298890870139809, 0.014300936125836409, 0.014303053351567299, 0.014305235806808061, 0.014307476131165273, 0.014309766360678246, 0.014312097954525415, 0.014314461833092795, 0.014316848428168237, 0.014319247745766171, 0.014321649441763954, 0.014324042910146731, 0.014326417383224295, 0.014328762042713647, 0.01433106614009518, 0.014333319124171974, 0.014335510773316741, 0.014337631329507506, 0.014339671630957966, 0.014341623239965616, 0.014343478562549666, 0.014345230956542474, 0.014346874825037246, 0.01434840569247362, 0.014349820261147013, 0.014351116446533403, 0.014352293390495888, 0.014353351452150347, 0.014354292176874464, 0.01435511824461295, 0.014355833399228511, 0.014356442361145598, 0.014356950725914495, 0.014357364851573601, 0.01435769173780836, 0.014357938899898634, 0.014358114240327827, 0.014358225920711785, 0.014358282236416147, 0.014358291495889118, 0.014358261906365702, 0.014358201467220132, 0.014358117871874829, 0.014358018418831647, 0.014357909932087043, 0.014357798690935401, 0.014357690368958504, 0.014357589981847517, 0.014357501843603456, 0.014357429530613608, 0.014357375853097088, 0.014357342833448588, 0.014357331691079224], [0.014332939904879282, 0.014332890479053921, 0.01433274231894589, 0.014332495776255966, 0.01433215143581092, 0.014331710113563602, 0.014331172853817499, 0.01433054092569881, 0.014329815818906555, 0.014328999238776941, 0.014328093100703361, 0.014327099523959618, 0.014326020824978169, 0.014324859510139716, 0.014323618268134298, 0.014322299961957771, 0.014320907620609906, 0.014319444430563039, 0.014317913727072196, 0.014316318985398849, 0.014314663812021891, 0.01431295193590962, 0.014311187199927973, 0.014309373552459292, 0.014307515039307144, 0.014305615795962229, 0.01430368004030454, 0.014301712065817734, 0.014299716235391575, 0.014297696975789687, 0.01429565877286129, 0.01429360616757722, 0.014291543752973732, 0.014289476172091291, 0.014287408116999996, 0.014285344329009355, 0.014283289600167726, 0.014281248776165286, 0.014279226760764889, 0.01427722852189814, 0.014275259099577933, 0.014273323615795608, 0.014271427286589988, 0.014269575436496453, 0.014267773515608049, 0.01426602711950585, 0.014264342012343462, 0.014262724153398111, 0.014261179727429105, 0.014259715179210241, 0.014258337252624051, 0.014257053034718905, 0.014255870005129496, 0.014254796091239721, 0.014253839729414183, 0.014253009932526713, 0.014252316363852683, 0.014251769417141388, 0.014251380302312947, 0.014251161135688948, 0.014251125032913703, 0.014251286201687708, 0.014251660030037239, 0.014252263163992281, 0.014253113566140977, 0.01425423054347604, 0.014255634729173381, 0.014257347998425252, 0.014259393293273139, 0.014261794325807677, 0.014264575123656921, 0.014267759377292287, 0.014271369546785337, 0.014275425688300359, 0.014279943970482555, 0.014284934871104773, 0.014290401077912103, 0.014296335166597104, 0.014302717192881675, 0.014309512410239259, 0.014316669399509338, 0.01432411895466801, 0.014331774088293411, 0.014339531477989874, 0.014347274555111743, 0.014354878239236771, 0.014362215068631962, 0.014369162214932278, 0.014375608661117584, 0.01438146172497495, 0.014386652161712218, 0.014391137276900475, 0.014394901781640636, 0.014397956455649336, 0.014400334976398678, 0.014402089467589575, 0.014403285394328866, 0.014403996394556771, 0.014404299518773683, 0.014404271194018988, 0.014403984070613753, 0.014403504777302113, 0.014402892514777551, 0.01440219836070462, 0.01440146513561703, 0.014400727679636519, 0.01440001340569011, 0.014399343018130903, 0.014398731310809538, 0.014398187982189073, 0.014397718425209736, 0.01439732446564887, 0.01439700503478299, 0.014396756770735528, 0.014396574548630768, 0.014396451943226907, 0.014396381629652285, 0.014396355728703526, 0.014396366103259901, 0.014396404612007474, 0.014396463326052201, 0.014396534713272518, 0.014396611794510404, 0.014396688274982205, 0.014396758653637624, 0.014396818312621466, 0.014396863588500789, 0.014396891826503978, 0.014396901418669207, 0.014396917440398607, 0.014396965625151222, 0.014397046332490943, 0.01439716016460894, 0.014397307970756978, 0.014397490853568243, 0.0143977101773833, 0.014397967578737752, 0.014398264979211451, 0.014398604600887247, 0.014398988984723417, 0.014399421012207628, 0.0143999039307359, 0.014400441383248754, 0.014401037442761859, 0.014401696652555786, 0.01440242407294077, 0.01440322533569828, 0.014404106707525604, 0.014405075164086657, 0.01440613847661238, 0.014407305313416517, 0.014408585359218894, 0.014409989455827769, 0.014411529768564687, 0.014413219983869879, 0.014415075544872815, 0.014417113933441859, 0.014419355009464329, 0.014421821421023483, 0.014424539102965536, 0.014427537886414949, 0.014430852248556692, 0.014434522241109375, 0.014438594648296197, 0.014443124442132867, 0.014448176626482579, 0.014453828594538688, 0.014460173171661071, 0.014467322583676032, 0.014475413690561212, 0.014484614973873801, 0.014495135990864027, 0.014507240354437435, 0.014521263842939688, 0.01453764012061665, 0.014556937996599524, 0.01457991660515472, 0.014607609185833771, 0.014641453926528518, 0.014683505007533683, 0.014736785932651883, 0.014805907409648279, 0.014898205061106611, 0.015025968570330955, 0.01521115570845504, 0.015496367504946623, 0.015973808408370607, 0.016875886259476235, 0.018937631394176244, 0.025520497644599481, 0.061915296231968432, 0.050377317668211956, 0.021877361078891856, 0.017030692337037075, 0.015584096451307565, 0.014991898814646612, 0.014701307471703432, 0.01454121307940048, 0.014445694886506294, 0.01438531598798861, 0.014345456494074448, 0.014318248702606626, 0.014299184655113135, 0.01428554818447365, 0.01427563388055085, 0.014268333563358902, 0.014262905950356442, 0.014258842750470858, 0.014255787911982233, 0.014253487356421153, 0.014251756810528397, 0.014250460711735117, 0.014249498072515451, 0.014248792823094016, 0.014248287098227463, 0.014247936496916604, 0.014247706687414886, 0.01424757094416541, 0.014247508339687819, 0.014247502402875841, 0.014247540113497038, 0.014247611141762623, 0.01424770726839434, 0.014247821938908705, 0.014247949918596013, 0.014248087023671354, 0.014248229910492549, 0.014248375909361986, 0.014248522892790983, 0.014248669170570067, 0.014248813405812881, 0.014248954547500522, 0.014249091776073943, 0.014249224459394838, 0.014249352116982215, 0.014249474390882894, 0.01424959102188062, 0.014249701830017419, 0.014249806698610196, 0.014249905561109636, 0.014249998390277303, 0.014250085189258915, 0.014250165984212842, 0.014250240818217162, 0.014250309746230564, 0.014250372830923905, 0.014250430139232731, 0.014250481739508457, 0.014250527699167768, 0.014250568082758526, 0.014250602950374574, 0.014250632356365122, 0.01425065634829401, 0.01425067496611309, 0.014250688241521502, 0.014250696197488717, 0.014250698847925125, 0.01425069619748872, 0.0142506882415215, 0.01425067496611309, 0.014250656348294012, 0.014250632356365129, 0.014250602950374579, 0.014250568082758534, 0.014250527699167769, 0.014250481739508452, 0.014250430139232734, 0.014250372830923902, 0.01425030974623057, 0.014250240818217167, 0.014250165984212842, 0.01425008518925891, 0.014249998390277295, 0.014249905561109645, 0.014249806698610201, 0.014249701830017412, 0.014249591021880621, 0.014249474390882899, 0.014249352116982221, 0.014249224459394843, 0.014249091776073941, 0.014248954547500518, 0.014248813405812888, 0.014248669170570064, 0.014248522892790978, 0.014248375909361994, 0.014248229910492535, 0.014248087023671361, 0.014247949918596011, 0.014247821938908707, 0.014247707268394335, 0.014247611141762628, 0.014247540113497041, 0.014247502402875839, 0.01424750833968782, 0.014247570944165412, 0.014247706687414883, 0.014247936496916608, 0.01424828709822747, 0.014248792823094013, 0.014249498072515451, 0.014250460711735125, 0.014251756810528402, 0.014253487356421153, 0.014255787911982239, 0.01425884275047086, 0.014262905950356437, 0.014268333563358895, 0.014275633880550842, 0.01428554818447365, 0.014299184655113133, 0.014318248702606621, 0.014345456494074477, 0.014385315987988628, 0.014445694886506261, 0.014541213079400444, 0.014701307471703248, 0.014991898814646267, 0.015584096451307781, 0.017030692337036132, 0.021877361078893008, 0.050377317668220768, 0.061915296231958176, 0.02552049764460524, 0.018937631394176535, 0.016875886259477342, 0.015973808408370382, 0.015496367504946731, 0.015211155708455002, 0.01502596857033096, 0.014898205061106567, 0.014805907409648289, 0.014736785932651909, 0.014683505007533734, 0.014641453926528545, 0.014607609185833776, 0.014579916605154735, 0.014556937996599521, 0.014537640120616655, 0.014521263842939688, 0.014507240354437441, 0.014495135990864029, 0.014484614973873797, 0.014475413690561214, 0.014467322583676036, 0.014460173171661072, 0.014453828594538694, 0.014448176626482574, 0.01444312444213287, 0.0144385946482962, 0.014434522241109381, 0.014430852248556695, 0.014427537886414953, 0.014424539102965541, 0.01442182142102349, 0.014419355009464334, 0.014417113933441859, 0.014415075544872818, 0.014413219983869876, 0.014411529768564692, 0.014409989455827773, 0.014408585359218894, 0.014407305313416519, 0.014406138476612375, 0.014405075164086657, 0.014404106707525602, 0.014403225335698279, 0.01440242407294077, 0.014401696652555787, 0.01440103744276186, 0.014400441383248745, 0.014399903930735907, 0.014399421012207623, 0.014398988984723417, 0.014398604600887249, 0.014398264979211445, 0.014397967578737757, 0.0143977101773833, 0.014397490853568243, 0.014397307970756978, 0.014397160164608938, 0.014397046332490943, 0.01439696562515122, 0.014396917440398603, 0.014396901418669214, 0.014396909427378342, 0.014396933487376909, 0.014396973700381295, 0.014397030236262435, 0.014397103333564669, 0.014397193300238607, 0.014397300514595123, 0.014397425426488883, 0.01439756855874267, 0.014397730508825706, 0.014397911950801708, 0.014398113637565085, 0.01439833640338656, 0.01439858116679288, 0.014398848933808253, 0.014399140801589631, 0.014399457962491747, 0.014399801708603013, 0.014400173436798329, 0.014400574654361391, 0.014401006985235351, 0.014401472176969096, 0.014401972108434509, 0.014402508798400552, 0.014403084415061327, 0.014403701286628214, 0.014404361913111577, 0.014405068979434308, 0.014405825370040126, 0.014406634185182097, 0.014407498759103975, 0.014408422680358159, 0.014409409814540346, 0.014410464329763707, 0.014411590725244918, 0.014412793863433759, 0.014414079006186346, 0.01441545185556465, 0.014416918599941396, 0.014418485966205532, 0.014420161279000986, 0.014421952528096648, 0.014423868445184587, 0.014425918591642366, 0.014428113459086301, 0.014430464584894552, 0.014432984685310034, 0.014435687809260746, 0.014438589516685073, 0.014441707085953482, 0.014445059755977313, 0.01444866900984336, 0.014452558908380351, 0.014456756484042587, 0.014461292208009345, 0.014466200546610814, 0.014471520627321073, 0.014477297039906582, 0.014483580805290473, 0.01449043055385324, 0.014497913967019238, 0.014506109552175166, 0.014515108842788756, 0.014525019145276605, 0.014535966994950472, 0.014548102540008316, 0.014561605152107882, 0.014576690675246289, 0.014593620887820116, 0.014612715991312456, 0.014634371293355056, 0.014659079788006481, 0.014687463159143835, 0.014720315024419808, 0.014758662308916808, 0.014803854041985169, 0.014857692616992661, 0.014922632546801515, 0.015002089718185122, 0.015100937709844942, 0.015226333176337158, 0.015389146364251904, 0.015606563745665759, 0.015907105226440409, 0.016340998593960539, 0.017003573839270598, 0.018094130110988822, 0.020086697518727655, 0.024327492062306104, 0.035662295956983683, 0.072905679223538133, 0.085131892805688378, 0.037857766002993731, 0.023590562026600738, 0.018913641675437212, 0.01693926917674227, 0.015950101336901289, 0.015393888701549636, 0.015054514972971065, 0.014834557508879938, 0.014685248413040239, 0.014580135061328145, 0.014503931266450134, 0.014447340010383223, 0.014404463429716715, 0.014371425527618741, 0.014345601466384016, 0.014325167251275679, 0.01430882667721764, 0.014295640348453919, 0.014284915555644552, 0.014276133563219762, 0.014268900524464168, 0.014262913684043534, 0.01425793768823844, 0.014253787710032384, 0.014250317251077926, 0.014247409205526276, 0.014244969232665048, 0.014242920786079191, 0.014241201346271409, 0.014239759537743608, 0.014238552903090109, 0.014237546170022198, 0.014236709891663847, 0.014236019371962606, 0.014235453810651173, 0.014234995618560965, 0.014234126660956192, 0.014233801418440417, 0.014233828797065154, 0.014234084706032093, 0.014234486832280057, 0.014234979529276104, 0.014235524508113467, 0.014236094962996632, 0.014236671785823425, 0.014237241082397911, 0.014237792516982886, 0.014238318193951167, 0.014238811893496997, 0.014239268544162624, 0.014239683855770957, 0.014240054062175853, 0.014240375739844116, 0.014240645679122482, 0.014240860792218495, 0.014241018046735655, 0.01424111441687023, 0.014241146846626029, 0.014241112220979086, 0.014241007342062156, 0.014240828908306621, 0.014240573495209843, 0.014240237537112531, 0.014239817310210937, 0.014239308918177217, 0.014238708283498052, 0.014238011150421106, 0.014237213109993006, 0.014236309665431728, 0.01423529636942218, 0.014234169088307167, 0.014232924489968605, 0.01423156092877711, 0.014230080045095852, 0.014228489676701619, 0.014226809243405197, 0.014225079952303344, 0.014223384795585438, 0.014221889480128026, 0.014220931011567696, 0.014221223699963476, 0.014224385341938641, 0.014234461598733403, 0.01426319820522598, 0.014353907036075083, 0.01475467992853054, 0.020049414404093243, 0.022079065380980097, 0.015442142228357639, 0.01476493059436707, 0.014555032425171895, 0.014459631230359577, 0.014406800482228281, 0.014373787233067635, 0.014351411891368711, 0.014335341765003302, 0.014323293538159261, 0.01431396131749927, 0.014306549554918837, 0.014300548682010649, 0.014295618732077299, 0.014291525104621389, 0.014288101240326692, 0.014285225974203912, 0.014282809277878819, 0.014280782992491787, 0.01427909463534772, 0.014277703158172219, 0.01427657597825834, 0.014275686859952903, 0.014275014376545717, 0.014274540776083335, 0.014274251133294754, 0.014274132707474709, 0.014274174450839772, 0.014274366628336036, 0.014274700521052746, 0.0142751681931027, 0.01427576230722144, 0.014276475978160893, 0.014277302655698224, 0.014278236031075392, 0.014279269962150726, 0.014280398413630714, 0.014281615409566014, 0.014282914995911659, 0.014284291211421664, 0.014285738065509581, 0.014287249521985781, 0.014288819487800185, 0.01429044180608896, 0.014292110252957528, 0.014293818537537117, 0.014295560304934885, 0.014297329141761973, 0.014299118583974868, 0.014300922126803867, 0.014302733236572222, 0.014304545364231248, 0.014306351960452346, 0.014308146492126564, 0.014309922460129149, 0.014311673418208238, 0.014313392992856909, 0.014315074904025329, 0.014316712986525518, 0.014318301211975932, 0.014319833711127581, 0.014321304796407232, 0.014322708984507276, 0.014324041018847211, 0.014325295891727274, 0.01432646886599212, 0.014327555496021643, 0.014328551647865959, 0.014329453518345657, 0.014330257652942333, 0.014330960962312532, 0.014331560737267764, 0.014332054662074893, 0.014332440825946311, 0.01433271773260456, 0.014332884307824914, 0.014332939904879282, 0.014332902837008436, 0.014332791739396313, 0.014332606929711946, 0.014332348936299208, 0.014332018496527463, 0.014331616554498078, 0.014331144258121393, 0.014330602955583659, 0.014329994191226656, 0.014329319700866391, 0.014328581406580779, 0.014327781410998854, 0.014326921991126685, 0.014326005591747614, 0.014325034818435748, 0.014324012430223867, 0.014322941331966633, 0.014321824566442118, 0.014320665306233289, 0.01431946684543195, 0.014318232591206296, 0.014316966055272461, 0.01431567084530906, 0.0143143506563516, 0.01431300926220176, 0.014311650506884254, 0.014310278296180794, 0.014308896589268068, 0.014307509390483177, 0.014306120741236765, 0.014304734712090037, 0.014303355395008483, 0.01430198689580053, 0.014300633326745938, 0.01429929879941377, 0.014297987417665605, 0.014296703270835476, 0.014295450427072745, 0.014294232926829801, 0.014293054776471591, 0.014291919941978823, 0.014290832342711826, 0.014289795845196842, 0.014288814256891165, 0.014287891319878494, 0.014287030704440193, 0.014286236002442894, 0.014285510720477576, 0.014284858272679618, 0.014284281973154556, 0.014283785027928934, 0.014283370526341363, 0.014283041431784655, 0.014282800571706944, 0.014282650626776991, 0.01428259411911845, 0.014282633399518203, 0.014282770633517022, 0.014283007786296412, 0.014283346606283958, 0.014283788607412591, 0.014284335049986227, 0.014284986920127076, 0.014285744907808708, 0.014286609383515048, 0.014287580373609136, 0.014288657534547671, 0.014289840126138714, 0.014291126984110314, 0.014292516492337553, 0.014294006555163741, 0.014295594570347249, 0.014297277403266632, 0.014299051363120804, 0.014300912181964011, 0.014302854997512762, 0.014304874340747542, 0.014306964129400079, 0.014309117668458368, 0.014311327658829745, 0.014313586215268116, 0.014315884894587728, 0.014318214735045543, 0.014320566307573706, 0.014322929779279524, 0.014325294989306056, 0.014327651536765736, 0.014329988880034627, 0.014332296446239715, 0.014334563749305824, 0.01433678051447586, 0.014338936806803258, 0.014341023160764979, 0.014343030707883186, 0.014344951299094749, 0.014346777618587648, 0.014348503285940555, 0.014350122943659595, 0.014351632327594096, 0.014353028318216814, 0.014354308971348467, 0.01435547352756017, 0.014356522400168138, 0.014357457142405283, 0.014358280394981514, 0.014358995815797996, 0.014359607994035736, 0.014360122351180104, 0.014360545031759576, 0.014360882786670394, 0.014361142851933519, 0.014361332825600839, 0.014361460545309566, 0.014361533968698879, 0.014361561058571778, 0.014361549674329351, 0.014361507470844095, 0.014361441805590619, 0.014361359654530453, 0.01436126753696333, 0.014361171449318233, 0.014361076807667059, 0.014360988398604987, 0.014360910338050936, 0.014360846037479801, 0.014360798177097123, 0.014360768685503863, 0.014360758725467031], [0.014314142388713652, 0.014314093546699626, 0.014313947136579876, 0.014313703505722468, 0.014313363231748069, 0.0143129271205526, 0.014312396203563036, 0.014311771734249495, 0.014311055183923563, 0.014310248236858952, 0.014309352784775482, 0.014308370920733495, 0.014307304932490106, 0.014306157295373108, 0.01430493066473212, 0.014303627868030348, 0.014302251896642502, 0.014300805897427278, 0.014299293164144628, 0.014297717128789234, 0.014296081352913197, 0.014294389519010922, 0.014292645422040687, 0.014290852961156586, 0.014289016131725295, 0.014287139017702247, 0.01428522578444117, 0.014283280672012413, 0.014281307989104711, 0.014279312107586829, 0.01427729745780662, 0.014275268524706525, 0.014273229844837922, 0.014271186004359789, 0.014269141638111885, 0.014267101429858013, 0.014265070113802609, 0.014263052477491584, 0.014261053366218909, 0.014259077689072149, 0.014257130426763836, 0.014255216641411285, 0.014253341488445346, 0.014251510230848207, 0.014249728255942482, 0.014248001094976736, 0.014246334445777773, 0.014244734198764594, 0.014243206466643069, 0.014241757618122016, 0.014240394316006769, 0.014239123560033208, 0.014237952734796642, 0.014236889663099677, 0.014235942664979606, 0.014235120622566433, 0.014234433050748079, 0.014233890173354889, 0.014233503004190656, 0.014233283431690315, 0.014233244305224635, 0.014233399520038189, 0.014233764096423657, 0.014234354246921693, 0.014235187423002891, 0.01423628232975797, 0.01423765889353989, 0.014239338163272683, 0.014241342121378113, 0.014243693375258683, 0.014246414695566461, 0.01424952836400158, 0.014253055292520318, 0.01425701387953031, 0.014261418579369863, 0.014266278181870982, 0.014271593831651431, 0.014277356863428375, 0.014283546589154997, 0.014290128240280066, 0.014297051333783487, 0.014304248778107074, 0.014311637044904423, 0.014319117685119571, 0.014326580350734698, 0.014333907298874154, 0.014340979125546247, 0.01434768124510814, 0.014353910453231635, 0.01435958083636529, 0.014364628348220963, 0.014369013558358006, 0.014372722349590842, 0.014375764637461362, 0.01437817144184261, 0.014379990810298443, 0.014381283155663119, 0.014382116535225996, 0.014382562294325298, 0.014382691358860779, 0.014382571321624134, 0.0143822643490247, 0.014381825848950053, 0.014381303788708766, 0.014380738529544572, 0.014380163043478892, 0.014379603391291079, 0.014379079360521676, 0.014378605184503316, 0.014378190284396755, 0.014377839994317403, 0.014377556244227265, 0.014377338186358798, 0.014377182758921046, 0.014377085186261126, 0.014377039418082101, 0.014377038512268871, 0.014377074966779337, 0.014377141006261859, 0.014377228828821413, 0.014377330817863684, 0.0143774397233308, 0.014377548815991041, 0.014377652017813998, 0.014377744010882928, 0.014377820326783409, 0.014377877417965751, 0.014377912712204332, 0.01437792465096242, 0.014377939696856797, 0.014377984948333741, 0.014378060747571475, 0.014378167667537429, 0.014378306516044791, 0.014378478341534809, 0.014378684440691311, 0.014378926368028662, 0.014379205947633533, 0.014379525287283841, 0.014379886795218687, 0.014380293199889737, 0.014380747573092064, 0.014381253356950932, 0.014381814395334506, 0.01438243497037423, 0.014383119844908594, 0.014383874311828528, 0.01438470425149945, 0.014385616198676567, 0.01438661742062617, 0.014387716008531538, 0.014388920984717524, 0.014390242428795465, 0.01439169162654419, 0.014393281246244744, 0.014395025548333157, 0.014396940635702639, 0.014399044753876107, 0.014401358652721106, 0.014403906024580769, 0.014406714037911425, 0.014409813991115119, 0.014413242118751824, 0.014417040592449599, 0.014421258772662442, 0.014425954786506361, 0.014431197533521567, 0.014437069258791039, 0.014443668886598617, 0.014451116385773132, 0.01445955855265546, 0.014469176769424528, 0.014480197557245033, 0.014492907150237724, 0.014507671961322563, 0.014524967858751304, 0.014545422918794819, 0.014569881317137892, 0.014599501333569151, 0.014635910210301514, 0.014681457321033493, 0.014739644738270453, 0.014815894270631045, 0.01491899156320526, 0.015063993430247821, 0.015278588320484041, 0.015618566434879232, 0.016211102822225154, 0.017401855081105352, 0.020422358101063506, 0.032160966110998931, 0.087257671074458726, 0.032419652091025188, 0.019116022244304663, 0.016251254276609919, 0.015264887855738013, 0.014827924719332818, 0.014602777347662625, 0.014474620239391599, 0.01439637978938608, 0.014346090561231097, 0.014312480891380085, 0.014289330088692818, 0.014273001969256306, 0.014261269927113528, 0.014252717218245928, 0.014246412981665593, 0.014241728715454647, 0.014238230043737929, 0.014235610638178775, 0.014233650644300259, 0.014232189826712469, 0.014231109813564412, 0.014230322111551003, 0.014229759864803572, 0.014229372092953637, 0.014229119601461353, 0.014228972038959963, 0.014228905753422526, 0.01422890221245721, 0.01422894682711108, 0.014229028067704846, 0.014229136793322454, 0.014229265739188535, 0.01422940912181178, 0.01422956233272895, 0.014229721699444422, 0.014229884297713753, 0.014230047803334114, 0.014230210374531789, 0.014230370558191395, 0.014230527214769056, 0.014230679457925489, 0.014230826605814602, 0.014230968141643742, 0.014231103681641951, 0.014231232948971342, 0.014231355752424563, 0.014231471968990387, 0.014231581529556048, 0.014231684407160897, 0.014231780607331594, 0.014231870160119935, 0.014231953113537046, 0.014232029528135612, 0.014232099472538222, 0.014232163019747241, 0.014232220244101999, 0.014232271218773452, 0.014232316013706846, 0.014232354693938807, 0.014232387318229713, 0.014232413937962655, 0.014232434596270327, 0.014232449327359122, 0.014232458156006643, 0.014232461097214833, 0.014232458156006642, 0.014232449327359127, 0.01423243459627032, 0.014232413937962658, 0.014232387318229721, 0.014232354693938812, 0.014232316013706852, 0.014232271218773457, 0.014232220244101991, 0.014232163019747243, 0.014232099472538222, 0.014232029528135621, 0.014231953113537048, 0.014231870160119937, 0.014231780607331592, 0.014231684407160898, 0.014231581529556054, 0.014231471968990396, 0.014231355752424554, 0.014231232948971342, 0.01423110368164196, 0.014230968141643749, 0.014230826605814604, 0.014230679457925484, 0.014230527214769053, 0.0142303705581914, 0.014230210374531786, 0.01423004780333411, 0.014229884297713753, 0.014229721699444409, 0.014229562332728951, 0.01422940912181178, 0.014229265739188536, 0.014229136793322453, 0.014229028067704857, 0.014228946827111084, 0.014228902212457211, 0.014228905753422528, 0.014228972038959963, 0.014229119601461351, 0.01422937209295364, 0.014229759864803579, 0.014230322111550996, 0.014231109813564409, 0.01423218982671247, 0.014233650644300261, 0.014235610638178775, 0.014238230043737926, 0.014241728715454649, 0.014246412981665582, 0.014252717218245919, 0.01426126992711352, 0.014273001969256306, 0.014289330088692818, 0.014312480891380083, 0.014346090561231128, 0.014396379789386092, 0.014474620239391556, 0.014602777347662571, 0.014827924719332542, 0.015264887855737479, 0.01625125427661028, 0.019116022244302745, 0.032419652091029857, 0.087257671074456797, 0.032160966110997349, 0.02042235810106616, 0.017401855081105467, 0.016211102822225848, 0.01561856643487909, 0.015278588320484121, 0.015063993430247787, 0.014918991563205258, 0.014815894270631014, 0.014739644738270458, 0.014681457321033516, 0.014635910210301561, 0.014599501333569185, 0.014569881317137901, 0.014545422918794838, 0.014524967858751297, 0.014507671961322565, 0.014492907150237726, 0.014480197557245037, 0.014469176769424528, 0.014459558552655462, 0.014451116385773132, 0.014443668886598622, 0.014437069258791048, 0.014431197533521572, 0.01442595478650636, 0.01442125877266244, 0.014417040592449602, 0.014413242118751824, 0.014409813991115118, 0.014406714037911423, 0.014403906024580766, 0.014401358652721108, 0.014399044753876109, 0.01439694063570264, 0.014395025548333161, 0.014393281246244742, 0.01439169162654419, 0.014390242428795464, 0.014388920984717526, 0.014387716008531538, 0.014386617420626161, 0.01438561619867657, 0.014384704251499444, 0.014383874311828528, 0.014383119844908593, 0.014382434970374228, 0.014381814395334503, 0.014381253356950926, 0.014380747573092064, 0.01438029319988973, 0.014379886795218689, 0.014379525287283843, 0.014379205947633526, 0.014378926368028665, 0.014378684440691309, 0.014378478341534809, 0.014378306516044792, 0.014378167667537427, 0.014378060747571468, 0.014377984948333741, 0.014377939696856797, 0.014377924650962421, 0.014377932171869631, 0.014377954766967913, 0.014377992533480871, 0.014378045633760852, 0.014378114295761387, 0.014378198813704704, 0.014378299548950363, 0.014378416931072923, 0.014378551459158678, 0.014378703703333435, 0.014378874306535502, 0.014379063986550589, 0.014379273538327731, 0.014379503836598457, 0.014379755838824095, 0.014380030588500155, 0.014380329218849845, 0.014380652956943777, 0.014381003128286945, 0.014381381161920085, 0.014381788596087932, 0.01438222708453429, 0.014382698403491059, 0.014383204459437403, 0.014383747297715261, 0.014384329112098618, 0.014384952255427467, 0.014385619251431824, 0.014386332807889269, 0.014387095831278746, 0.014387911443117078, 0.014388782998191237, 0.014389714104930781, 0.01439070864820137, 0.014391770814842763, 0.014392905122325043, 0.014394116450955268, 0.014395410080136426, 0.014396791729262393, 0.014398267603930162, 0.014399844448266384, 0.014401529604303409, 0.014403331079506256, 0.014405257623750656, 0.014407318817293152, 0.01440952517156519, 0.014411888244977326, 0.014414420776351865, 0.014417136839132193, 0.01442005202016953, 0.014423183627695336, 0.014426550934090987, 0.014430175460320199, 0.014434081310464591, 0.014438295566791376, 0.014442848758308861, 0.014447775418994111, 0.01445311475603063, 0.014458911453771799, 0.014465216646160977, 0.014472089099556213, 0.014479596660117009, 0.014487818036219234, 0.014496845008343752, 0.014506785188790935, 0.014517765494678498, 0.014529936554791151, 0.01454347835112541, 0.014558607510210089, 0.014575586824038034, 0.014594737821494523, 0.014616457569369749, 0.014641241423388955, 0.014669714282979959, 0.014702674212167959, 0.014741154390006863, 0.014786512809979568, 0.014840564987779869, 0.014905785105795495, 0.014985619335290454, 0.015084989333767647, 0.015211130833344104, 0.015375049633594658, 0.015594176233773412, 0.015897496532677372, 0.016336194954479889, 0.017007752053993914, 0.018116901503349297, 0.020153708308998684, 0.024522650851006012, 0.036340272148747188, 0.075172648860651267, 0.082572740804081529, 0.036705206177071383, 0.023207061531260065, 0.018740056050034003, 0.016840288560110779, 0.015883857192984654, 0.015344300063640307, 0.015014354301209983, 0.014800177307264439, 0.014654638263259284, 0.014552107636845781, 0.014477745364719866, 0.014422511408513481, 0.01438066356416969, 0.0143484241855773, 0.014323232848115786, 0.014303309067857699, 0.014287386832168845, 0.014274548196254042, 0.014264116012489472, 0.014255583046358268, 0.014248564093799564, 0.014242762992269394, 0.014237949485900304, 0.014233942738537618, 0.014230599411503666, 0.014227804926521141, 0.014225466984105272, 0.014223510700817591, 0.014221874923010934, 0.014220509405472075, 0.014219372632711971, 0.014218430122522331, 0.014217653094801037, 0.014217017419430444, 0.01421650277907046, 0.014215525891926905, 0.014215154674794256, 0.014215172949013342, 0.014215441648976122, 0.014215869329171607, 0.014216394684833485, 0.014216975884992589, 0.01421758389678968, 0.01421819821567254, 0.014218804082450458, 0.014219390639637815, 0.014219949692783854, 0.014220474868188364, 0.014220961034260314, 0.014221403900534096, 0.014221799737735231, 0.014222145181066541, 0.014222437091079863, 0.014222672454530025, 0.014222848312968189, 0.014222961710454948, 0.014223009654256435, 0.01422298908411904, 0.01422289684696211, 0.01422272967477096, 0.014222484164260021, 0.014222156757642383, 0.014221743724735668, 0.014221241147853607, 0.014220644912777778, 0.014219950712064422, 0.014219154071849394, 0.014218250421634266, 0.014217235240902478, 0.014216104341694125, 0.014214854391693349, 0.014213483865995954, 0.014211994773972414, 0.014210395816983452, 0.014208708260615502, 0.014206977137116794, 0.014205293370248366, 0.01420383949165778, 0.014202989753487877, 0.014203546413999298, 0.014207354969880376, 0.014219133549040664, 0.014253042658290265, 0.014364277066370494, 0.014907545265627648, 0.026063913009254921, 0.018990651268830903, 0.01522238398249608, 0.014693656593055941, 0.014514652748983298, 0.014429812448620401, 0.014381661185434274, 0.014351081731866458, 0.014330117716504217, 0.014314932888144687, 0.014303473835199207, 0.01429455212556485, 0.014287436968988439, 0.014281656733931954, 0.014276894807843853, 0.014272931572550359, 0.014269610421091729, 0.014266816999680498, 0.014264466063332861, 0.014262492889266867, 0.014260847512873548, 0.014259490764492429, 0.014258391485778092, 0.014257524537119129, 0.014256869346872847, 0.014256408838862023, 0.014256128628579372, 0.014256016413333673, 0.01425606150443617, 0.014256254464831008, 0.014256586825991778, 0.014257050865108667, 0.014257639428641864, 0.014258345791906674, 0.014259163546938975, 0.01426008651277005, 0.014261108663624287, 0.014262224071581599, 0.014263426861019668, 0.014264711172735681, 0.014266071136094249, 0.01426750084789234, 0.01426899435689806, 0.014270545653228191, 0.014272148661891637, 0.014273797239953886, 0.014275485176878058, 0.014277206197677189, 0.014278953968574367, 0.014280722104915744, 0.014282504181118717, 0.01428429374246553, 0.014286084318573615, 0.014287869438388614, 0.014289642646555162, 0.014291397521026868, 0.014293127691778132, 0.014294826860480425, 0.014296488821002609, 0.014298107480591014, 0.014299676881578946, 0.014301191223470195, 0.014302644885234615, 0.014304032447647937, 0.014305348715503227, 0.014306588739516945, 0.014307747837749889, 0.014308821616362528, 0.014309805989523777, 0.014310697198296665, 0.014311491828327911, 0.014312186826176363, 0.014312779514124869, 0.01431326760333149, 0.014313649205190793, 0.014313922840791323, 0.014314087448373716, 0.014314142388713652, 0.014314105758690496, 0.014313995973407474, 0.014313813346895734, 0.014313558401449451, 0.014313231865996673, 0.014312834673833727, 0.014312367959737983, 0.01431183305647791, 0.014311231490743112, 0.014310564978520368, 0.014309835419945207, 0.01430904489366115, 0.014308195650721584, 0.014307290108071122, 0.014306330841645209, 0.014305320579128427, 0.014304262192412055, 0.014303158689793156, 0.014302013207956562, 0.014300829003781433, 0.014299609446013221, 0.014298358006840694, 0.014297078253416634, 0.014295773839358331, 0.01429444849626259, 0.014293106025267168, 0.014291750288687831, 0.014290385201757324, 0.014289014724489318, 0.014287642853686888, 0.014286273615111523, 0.014284911055824721, 0.014283559236710281, 0.014282222225181414, 0.014280904088072265, 0.014279608884709118, 0.014278340660152281, 0.014277103438594698, 0.014275901216898724, 0.014274737958247826, 0.014273617585884753, 0.014272543976903014, 0.01427152095605313, 0.014270552289519994, 0.014269641678622731, 0.014268792753382485, 0.014268009065899034, 0.014267294083471192, 0.014266651181391242, 0.014266083635338283, 0.014265594613290911, 0.014265187166875153, 0.014264864222059958, 0.014264628569109624, 0.014264482851700518, 0.014264429555109372, 0.014264470993381337, 0.014264609295389613, 0.014264846389705037, 0.014265183988202972, 0.014265623568348767, 0.014266166354121222, 0.014266813295556699, 0.014267565046926807, 0.014268421943598886, 0.014269383977673284, 0.014270450772544015, 0.01427162155659091, 0.014272895136281719, 0.014274269869041858, 0.014275743636336373, 0.014277313817502578, 0.014278977264970242, 0.014280730281606343, 0.014282568601019712, 0.014284487371751926, 0.014286481146359728, 0.014288543876453477, 0.01429066891478876, 0.014292849025506548, 0.014295076403573364, 0.014297342704379634, 0.014299639084306082, 0.014301956252860841, 0.014304284536722492, 0.0143066139556999, 0.014308934310243436, 0.014311235279726921, 0.014313506530278854, 0.014315737830495986, 0.014317919172944091, 0.014320040898964817, 0.014322093823988575, 0.014324069360325471, 0.014325959634288607, 0.014327757594512153, 0.014329457108466356, 0.014331053044444901, 0.014332541336694558, 0.014333919031857999, 0.014335184315482691, 0.014336336517980993, 0.014337376100077851, 0.014338304618417686, 0.014339124672590003, 0.014339839835346316, 0.014340454568197086, 0.01434097412488273, 0.014341404445399022, 0.014341752043326821, 0.0143420238891745, 0.014342227292302999, 0.014342369783784316, 0.014342459002264336, 0.014342502584580499, 0.01434250806254387, 0.014342482766952113, 0.014342433739570806, 0.014342367653518089, 0.014342290742221639, 0.014342208736894861, 0.014342126812302866, 0.014342049540461867, 0.014341980851833719, 0.014341924003541331, 0.014341881554132879, 0.014341855344460135, 0.014341846484302945], [0.014493993983541616, 0.014493945520348519, 0.014493800245723007, 0.014493558504130243, 0.014493220868361346, 0.014492788137569082, 0.014492261334541687, 0.014491641702238047, 0.014490930699613946, 0.014490129996775437, 0.014489241469500046, 0.014488267193172815, 0.014487209436188316, 0.01448607065287422, 0.014484853475995815, 0.014483560708904376, 0.014482195317394916, 0.014480760421341079, 0.014479259286177281, 0.014477695314299075, 0.014476072036454332, 0.014474393103197846, 0.014472662276483444, 0.014470883421466733, 0.014469060498592619, 0.014467197556041382, 0.014465298722607109, 0.014463368201082799, 0.014461410262226606, 0.014459429239384567, 0.014457429523846649, 0.014455415561014259, 0.014453391847460417, 0.014451362928966913, 0.01444933339962712, 0.01444730790210841, 0.014445291129175218, 0.014443287826581479, 0.014441302797450793, 0.014439340908274192, 0.014437407096668013, 0.014435506381049486, 0.014433643872404055, 0.014431824788337252, 0.014430054469623727, 0.01442833839948757, 0.014426682225870329, 0.014425091786964866, 0.014423573140313813, 0.014422132595788324, 0.014420776752773394, 0.014419512541886252, 0.014418347271538796, 0.014417288679615763, 0.014416344990467289, 0.014415524977293849, 0.014414838029814931, 0.014414294226836068, 0.014413904412931687, 0.014413680277904121, 0.014413634436913974, 0.014413780508145332, 0.014414133183503203, 0.014414708286065094, 0.014415522805748222, 0.014416594901843188, 0.014417943857669663, 0.014419589968657592, 0.014421554340784695, 0.014423858571817601, 0.014426524283774726, 0.014429572472366835, 0.014433022639225626, 0.014436891677328518, 0.014441192491423635, 0.014445932355893901, 0.014451111044496439, 0.014456718810721296, 0.014462734352722073, 0.014469122957780606, 0.014475835078240759, 0.014482805629148127, 0.014489954299762114, 0.014497187119970672, 0.014504399408896964, 0.014511480060914865, 0.014518316916345683, 0.014524802759873544, 0.014530841337647758, 0.014536352727360051, 0.0145412774570804, 0.014545578940881758, 0.014549244045218923, 0.0145522818642885, 0.014554721009016449, 0.014556605862271005, 0.014557992306417297, 0.01455894339681537, 0.014559525361449251, 0.014559804183877758, 0.014559842902413359, 0.014559699652675812, 0.014559426403363218, 0.014559068287789247, 0.014558663412494257, 0.014558243022488601, 0.014557831913489791, 0.01455744899889838, 0.014557107958762441, 0.014556817916704878, 0.014556584107124805, 0.014556408508279432, 0.014556290427065717, 0.014556227028758389, 0.014556213810082866, 0.014556245017301473, 0.014556314012925214, 0.014556413595620279, 0.014556536278169156, 0.01455667452820944, 0.014556820976083722, 0.014556968593616278, 0.014557110847068486, 0.014557241826971233, 0.014557356357018242, 0.014557450083747769, 0.014557519548344947, 0.014557562241562672, 0.014557576642477874, 0.014557590764059374, 0.014557633237449592, 0.014557704389315394, 0.014557804766546951, 0.014557935139971988, 0.014558096509649355, 0.014558290111838151, 0.014558517427770545, 0.014558780194391125, 0.014559080417264921, 0.014559420385900905, 0.014559802691788982, 0.014560230249508355, 0.014560706321335361, 0.014561234545861491, 0.014561818971231769, 0.014562464093731237, 0.014563174902591102, 0.014563956932058149, 0.01456481632198295, 0.014565759888440319, 0.014566795206213993, 0.014567930705372115, 0.014569175784650595, 0.014570540944976127, 0.014572037947234388, 0.014573679999368823, 0.014575481979144145, 0.014577460700510294, 0.014579635233571146, 0.014582027290851523, 0.014584661696080883, 0.014587566956366947, 0.014590775964831807, 0.0145943268691145, 0.014598264152445081, 0.01460263998948203, 0.014607515960555588, 0.014612965238017764, 0.014619075401040089, 0.014625952096504035, 0.014633723853034698, 0.014642548487661869, 0.014652621744095151, 0.014664189107707622, 0.014677562221531108, 0.014693142094500075, 0.014711452550854754, 0.014733189488541971, 0.014759295193761034, 0.01479107356789322, 0.01483037445956523, 0.014879899354492007, 0.014943730036548118, 0.015028289270379164, 0.015144193372990425, 0.015310093716698109, 0.015561400546967698, 0.015972561394900699, 0.01672368238608523, 0.018349897967935715, 0.02305777580874329, 0.046241894341667519, 0.06823245879869333, 0.024476188839854945, 0.017719568350331432, 0.015916738908510294, 0.015221982231950076, 0.01489352453945178, 0.014717120732180034, 0.014613835655249593, 0.014549506250990843, 0.014507555367754476, 0.014479221712079694, 0.014459557692685091, 0.014445617804766485, 0.014435571307900968, 0.014428238942114271, 0.014422837908907539, 0.01441883510910668, 0.014415859415757605, 0.014413647489620813, 0.014412009343176118, 0.014410805899339109, 0.014409934038273942, 0.014409316434386506, 0.014408894525248779, 0.014408623568855944, 0.01440846911829612, 0.014408404474093204, 0.014408408820893269, 0.014408465849658925, 0.014408562728586951, 0.014408689327366027, 0.014408837627422531, 0.014409001270041268, 0.014409175207618821, 0.014409355432710309, 0.014409538766214336, 0.014409722690842251, 0.014409905219498479, 0.014410084790745629, 0.014410260185407054, 0.014410430459756438, 0.014410594891791539, 0.014410752937878125, 0.014410904197650887, 0.014411048385516007, 0.01441118530745303, 0.014411314842085948, 0.014411436925205703, 0.014411551537091628, 0.01441165869210943, 0.014411758430166306, 0.014411850809684389, 0.014411935901819205, 0.014412013785701068, 0.014412084544519008, 0.01441214826230058, 0.014412205021267624, 0.014412254899670565, 0.014412297970021512, 0.014412334297661731, 0.014412363939611145, 0.014412386943657826, 0.014412403347654486, 0.014412413178996204, 0.014412416454260463, 0.014412413178996206, 0.014412403347654488, 0.014412386943657826, 0.014412363939611147, 0.014412334297661738, 0.014412297970021515, 0.014412254899670575, 0.014412205021267627, 0.014412148262300573, 0.014412084544519005, 0.01441201378570107, 0.014411935901819214, 0.014411850809684384, 0.014411758430166302, 0.014411658692109428, 0.014411551537091619, 0.014411436925205714, 0.014411314842085951, 0.014411185307453025, 0.014411048385516005, 0.014410904197650889, 0.01441075293787813, 0.01441059489179154, 0.014410430459756436, 0.014410260185407047, 0.014410084790745632, 0.014409905219498477, 0.014409722690842244, 0.014409538766214343, 0.014409355432710307, 0.014409175207618828, 0.014409001270041267, 0.014408837627422533, 0.014408689327366019, 0.014408562728586961, 0.014408465849658927, 0.014408408820893268, 0.014408404474093205, 0.014408469118296121, 0.014408623568855947, 0.014408894525248784, 0.014409316434386511, 0.014409934038273937, 0.014410805899339109, 0.014412009343176126, 0.014413647489620816, 0.014415859415757605, 0.014418835109106682, 0.014422837908907544, 0.014428238942114259, 0.014435571307900956, 0.014445617804766475, 0.014459557692685098, 0.014479221712079694, 0.014507555367754471, 0.014549506250990883, 0.014613835655249614, 0.014717120732179968, 0.014893524539451706, 0.015221982231949651, 0.015916738908509424, 0.017719568350332074, 0.024476188839849779, 0.068232458798706333, 0.046241894341664008, 0.023057775808742496, 0.01834989796793695, 0.016723682386085285, 0.015972561394901164, 0.015561400546967597, 0.015310093716698168, 0.015144193372990406, 0.015028289270379167, 0.014943730036548098, 0.014879899354492009, 0.014830374459565251, 0.014791073567893264, 0.014759295193761061, 0.014733189488541978, 0.014711452550854771, 0.01469314209450007, 0.014677562221531111, 0.014664189107707623, 0.014652621744095155, 0.014642548487661874, 0.014633723853034701, 0.014625952096504033, 0.014619075401040092, 0.014612965238017767, 0.014607515960555593, 0.014602639989482026, 0.014598264152445086, 0.014594326869114502, 0.014590775964831814, 0.014587566956366949, 0.014584661696080884, 0.014582027290851528, 0.014579635233571154, 0.014577460700510298, 0.014575481979144147, 0.014573679999368825, 0.014572037947234388, 0.014570540944976127, 0.014569175784650593, 0.014567930705372115, 0.014566795206213989, 0.014565759888440315, 0.014564816321982955, 0.014563956932058145, 0.014563174902591101, 0.01456246409373124, 0.014561818971231769, 0.014561234545861496, 0.014560706321335354, 0.014560230249508357, 0.014559802691788975, 0.014559420385900903, 0.014559080417264923, 0.014558780194391127, 0.014558517427770548, 0.014558290111838148, 0.01455809650964935, 0.01455793513997199, 0.01455780476654695, 0.01455770438931539, 0.014557633237449592, 0.014557590764059368, 0.014557576642477877, 0.014557583701332828, 0.014557604908953779, 0.014557640358594316, 0.014557690205962034, 0.014557754669648685, 0.014557834031737842, 0.014557928638595738, 0.014558038901852265, 0.014558165299581389, 0.014558308377691788, 0.014558468751540552, 0.014558647107785041, 0.014558844206490213, 0.014559060883511547, 0.014559298053175932, 0.014559556711286685, 0.014559837938481571, 0.014560142903977105, 0.0145604728697361, 0.01456082919510064, 0.014561213341937534, 0.01456162688034986, 0.014562071495014437, 0.014562548992213207, 0.014563061307635102, 0.014563610515034988, 0.014564198835847893, 0.014564828649869457, 0.014565502507129176, 0.014566223141099864, 0.014566993483407172, 0.014567816680225998, 0.014568696110577734, 0.014569635406773558, 0.014570638477285533, 0.014571709532370226, 0.014572853112819504, 0.014574074122272391, 0.0145753778635913, 0.014576770079888489, 0.014578257000886125, 0.014579845395409623, 0.014581542630953072, 0.01458335674142151, 0.0145852965043553, 0.014587371529182977, 0.014589592358341485, 0.014591970583458328, 0.014594518979224253, 0.014597251658117453, 0.014600184249795915, 0.014603334109785867, 0.014606720563102608, 0.014610365189700618, 0.014614292160232661, 0.014618528632597792, 0.014623105222298547, 0.014628056562875903, 0.014633421976868897, 0.014639246283158359, 0.01464558077361496, 0.01465248440125206, 0.014660025234380574, 0.014668282247691806, 0.014677347543344764, 0.014687329125282148, 0.014698354391451963, 0.014710574566229298, 0.01472417037635277, 0.014739359389043607, 0.014756405597423408, 0.014775632082008789, 0.014797437939365537, 0.014822321216911277, 0.0148509104368598, 0.014884008618867278, 0.014922655842599717, 0.014968219901355318, 0.015022530535537312, 0.015088083086761826, 0.01516835608234368, 0.015268322239740215, 0.015395300840249522, 0.015560440291028538, 0.015781426959669092, 0.016087734194927258, 0.016531545822547386, 0.017212588981851032, 0.018341282483860057, 0.020424517991013712, 0.024928191502164711, 0.037253891735359576, 0.077588540006091417, 0.079914605140624637, 0.035767404208342124, 0.023024571129418334, 0.018763820132004807, 0.016938014636580984, 0.016014323700838742, 0.015491561167079256, 0.015171196489079195, 0.014962938314155851, 0.01482128811002752, 0.01472144092822766, 0.014649005636956909, 0.014595201901251199, 0.014554445478483159, 0.014523058932413818, 0.014498547730963313, 0.014479176075895491, 0.014463709083483017, 0.014451251011085454, 0.014441140879924024, 0.014432883451129348, 0.014426102569413046, 0.014420509001062785, 0.014415877868172309, 0.014412032560570042, 0.014408833097910181, 0.014406167598386029, 0.014403945948173119, 0.014402095050995897, 0.014400555226383768, 0.014399277452610788, 0.014398221237407999, 0.014397352959872439, 0.01439664456932141, 0.01439607255687857, 0.014394991746969963, 0.014394584294195193, 0.014394605631463882, 0.014394900027395198, 0.014395366042375735, 0.014395936287805137, 0.014396565197164448, 0.014397221440638949, 0.014397883112068169, 0.014398534614515526, 0.014399164610566255, 0.014399764653544407, 0.014400328261960962, 0.014400850286986216, 0.014401326476271303, 0.014401753170853114, 0.014402127093101491, 0.014402445197370694, 0.014402704563994489, 0.014402902323224781, 0.01440303559972329, 0.014403101470949854, 0.014403096934687746, 0.014403018882301078, 0.014402864075337101, 0.014402629123929367, 0.01440231046626974, 0.01440190434935858, 0.014401406812524766, 0.01440081367715098, 0.014400120549169244, 0.01439932284610268, 0.014398415869301885, 0.014397394957417289, 0.014396255784370666, 0.01439499491426509, 0.014393610816712192, 0.014392105719447965, 0.014390489016442062, 0.014388783648047427, 0.014387038364585677, 0.014385352160283943, 0.014383925289558765, 0.014383172410642162, 0.014383993895592648, 0.014388496929529549, 0.014402200473915581, 0.014442283354049627, 0.014579992699217044, 0.015339968744782292, 0.043465368796292918, 0.017613378501499476, 0.0152508607139309, 0.01482945606593708, 0.014675428746463645, 0.01459958449364232, 0.014555538271103249, 0.014527132801308179, 0.014507444187880206, 0.014493065506211414, 0.014482145641144657, 0.014473600851983978, 0.014466758633044568, 0.014461181757406657, 0.014456574918987134, 0.0144527322332924, 0.014449506250958036, 0.014446788904561443, 0.014444499374640981, 0.014442576123474599, 0.014440971523936433, 0.014439648151970559, 0.014438576173458516, 0.01443773146782544, 0.014437094258013754, 0.014436648095088059, 0.014436379095488972, 0.014436275361122573, 0.014436326533684724, 0.014436523448862187, 0.014436857865773818, 0.014437322253753862, 0.014437909623315946, 0.014438613391510731, 0.014439427274322986, 0.014440345200528599, 0.01444136124274098, 0.014442469562350348, 0.014443664365793127, 0.014444939870143964, 0.014446290276448682, 0.014447709749544116, 0.014449192403364888, 0.014450732290935886, 0.014452323398404521, 0.014453959642589234, 0.014455634871617017, 0.014457342868298651, 0.014459077355949508, 0.014460832006410488, 0.014462600450059043, 0.014464376287627098, 0.014466153103662787, 0.014467924481486616, 0.014469684019501243, 0.014471425348719919, 0.01447314215137945, 0.014474828180503056, 0.01447647728027545, 0.014478083407088047, 0.014479640651106334, 0.014481143258205906, 0.014482585652117201, 0.014483962456612903, 0.014485268517567079, 0.014486498924710749, 0.014487649032905588, 0.01448871448275665, 0.014489691220384789, 0.014490575516183244, 0.014491363982386632, 0.01449205358928855, 0.014492641679953155, 0.014493125983277644, 0.014493504625277076, 0.014493776138478399, 0.014493939469328596, 0.014493993983541616, 0.014493957637628386, 0.014493848703879606, 0.014493667493942354, 0.014493414526145675, 0.014493090523883855, 0.014492696413368134, 0.014492233320761548, 0.014491702568715773, 0.014491105672332433, 0.014490444334574786, 0.014489720441159079, 0.014488936054957631, 0.014488093409948144, 0.01448719490474604, 0.014486243095758305, 0.014485240689998865, 0.014484190537605926, 0.014483095624103128, 0.014481959062445622, 0.014480784084892345, 0.014479574034745125, 0.014478332357993749, 0.014477062594905367, 0.014475768371594014, 0.014474453391604457, 0.014473121427542163, 0.014471776312777958, 0.014470421933253465, 0.014469062219409939, 0.014467701138259761, 0.014466342685616047, 0.014464990878492288, 0.014463649747679549, 0.014462323330505074, 0.014461015663771476, 0.014459730776871446, 0.014458472685068533, 0.014457245382929754, 0.014456052837890978, 0.014454898983931645, 0.014453787715329841, 0.0144527228804644, 0.014451708275625015, 0.014450747638786595, 0.014449844643298888, 0.014449002891436743, 0.014448225907751674, 0.01444751713215995, 0.014446879912697216, 0.014446317497865251, 0.014445833028491431, 0.014445429529017733, 0.014445109898132545, 0.014444876898655987, 0.014444733146587962, 0.014444681099228331, 0.014444723042280207, 0.014444861075851712, 0.014445097099278352, 0.014445432794698565, 0.014445869609329136, 0.014446408736406544, 0.014447051094784391, 0.014447797307208146, 0.014448647677325701, 0.014449602165537773, 0.014450660363845215, 0.014451821469912394, 0.014453084260635992, 0.014454447065587326, 0.014455907740782087, 0.014457463643323572, 0.014459111607561116, 0.014460847923501979, 0.014462668318308522, 0.014464567941797768, 0.014466541356932214, 0.014468582536342289, 0.014470684865944366, 0.014472841156707231, 0.014475043665566626, 0.014477284126384859, 0.014479553791696501, 0.014481843485767747, 0.014484143669226403, 0.014486444515195014, 0.014488735996487976, 0.01449100798302707, 0.014493250348203462, 0.014495453082487729, 0.01449760641218485, 0.014499700920872639, 0.014501727670772577, 0.014503678321104704, 0.014505545240389339, 0.014507321609692593, 0.014509001513973085, 0.01451058001897412, 0.014512053231505931, 0.014513418341460225, 0.014514673644468878, 0.014515818544730488, 0.014516853538152037, 0.014517780176554836, 0.014518601014246025, 0.014519319538732291, 0.014519940087733139, 0.014520467754923428, 0.014520908286994049, 0.014521267974667658, 0.014521553540250368, 0.014521772024154693, 0.014521930672608822, 0.014522036828492842, 0.014522097826931956, 0.01452212089694993, 0.014522113070158814, 0.014522081097149826, 0.014522031371965, 0.014521969864780328, 0.014521902062724006, 0.014521832918590043, 0.014521766807091134, 0.014521707488220669, 0.014521658077262828, 0.014521621020994711, 0.014521598079662173, 0.014521590314376236], [0.01461829320975876, 0.014618245198585018, 0.014618101278885562, 0.014617861791732696, 0.014617527304273674, 0.014617098607782529, 0.014616576714956553, 0.014615962856480171, 0.014615258476886134, 0.014614465229749515, 0.014613584972255282, 0.014612619759186008, 0.014611571836380639, 0.014610443633719517, 0.014609237757694739, 0.014607956983628417, 0.014606604247603796, 0.014605182638176808, 0.014603695387937531, 0.014602145864992091, 0.014600537564437204, 0.014598874099899357, 0.014597159195212189, 0.01459539667630471, 0.014593590463373829, 0.014591744563414451, 0.014589863063180155, 0.014587950122648302, 0.014586009969063018, 0.014584046891630811, 0.014582065236944632, 0.014580069405213577, 0.014578063847378281, 0.014576053063195026, 0.01457404160037575, 0.014572034054876176, 0.014570035072431075, 0.014568049351442847, 0.014566081647339042, 0.01456413677852509, 0.014562219634070641, 0.014560335183281939, 0.014558488487328337, 0.014556684713108088, 0.014554929149557147, 0.014553227226624115, 0.014551584537154367, 0.014550006861945351, 0.01454850019825216, 0.014547070792035327, 0.014545725174248474, 0.014544470201457764, 0.014543313101062721, 0.014542261521341086, 0.014541323586457966, 0.014540507956449372, 0.014539823891992562, 0.01453928132348856, 0.01453889092357478, 0.014538664181621318, 0.014538613477996624, 0.014538752154862888, 0.014539094578915579, 0.014539656189748399, 0.014540453525339177, 0.014541504213462403, 0.01454282691462316, 0.01454444119842292, 0.014546367331267936, 0.014548625949342614, 0.014551237587368196, 0.014554222031748078, 0.01455759746756311, 0.014561379394235361, 0.014565579296584752, 0.014570203078603362, 0.014575249298298079, 0.014580707283912524, 0.014586555262944475, 0.014592758690397242, 0.014599269012163778, 0.014606023129793009, 0.014612943828330878, 0.014619941375287859, 0.014626916389031977, 0.014633763914829503, 0.014640378458268846, 0.014646659545276141, 0.01465251724829531, 0.014657877076355259, 0.014662683690566048, 0.014666903067171987, 0.014670522953314962, 0.014673551696801517, 0.014676015731405982, 0.014677956128770915, 0.014679424673664745, 0.014680479889194955, 0.014681183354856851, 0.014681596550532357, 0.014681778348548485, 0.014681783181087432, 0.014681659840444257, 0.014681450826375059, 0.014681192134733501, 0.014680913379075998, 0.014680638145844045, 0.014680384498813426, 0.014680165565737405, 0.014679990156860173, 0.014679863379739222, 0.014679787226944279, 0.014679761122608943, 0.014679782420736868, 0.014679846852995188, 0.01467994892689293, 0.014680082277144606, 0.014680239974009348, 0.014680414792754637, 0.014680599448342034, 0.01468078679913095, 0.014680970022963981, 0.014681142768511457, 0.014681299284267653, 0.014681434527136581, 0.014681544252139167, 0.014681625084421761, 0.01468167457444782, 0.014681691237004768, 0.014681704470031816, 0.014681744272913305, 0.01468181095771859, 0.014681905046802769, 0.014682027276207828, 0.014682178600509245, 0.014682360199195405, 0.014682573484695812, 0.014682820112205876, 0.014683101991490885, 0.014683421300892421, 0.014683780503806036, 0.014684182367952771, 0.014684629987829505, 0.014685126810796848, 0.014685676667351259, 0.014686283806232322, 0.014686952935142647, 0.01468768926800961, 0.014688498579903548, 0.014689387270952937, 0.014690362440874584, 0.014691431976079672, 0.014692604651741666, 0.014693890251742493, 0.014695299710079124, 0.014696845278152567, 0.014698540723427553, 0.014700401566313071, 0.014702445363865741, 0.014704692051185169, 0.014707164354328112, 0.014709888292454776, 0.01471289379206942, 0.014716215443098542, 0.014719893435828192, 0.014723974730356595, 0.014728514527600623, 0.014733578135075654, 0.014739243354706603, 0.014745603568456708, 0.014752771767700776, 0.014760885875156827, 0.014770115861551426, 0.014780673391805551, 0.014792825095113154, 0.014806911120846505, 0.01482337155881126, 0.014842784820616933, 0.014865924665628989, 0.01489384710326145, 0.014928026690176862, 0.014970577461413887, 0.015024624970490784, 0.015094961401689708, 0.015189261951899152, 0.015320492714297786, 0.015512068850866072, 0.015810066156323278, 0.016316175808205102, 0.017294136978278311, 0.019616689409597324, 0.02760187960168722, 0.073400531602114308, 0.041035202374513538, 0.020635710289466161, 0.016871249348619565, 0.015681170465799633, 0.015178926657580517, 0.014928122463135457, 0.014788496548166488, 0.014704683280924677, 0.014651541618313779, 0.014616433772199101, 0.014592497724213992, 0.014575775233832241, 0.014563869185237152, 0.014555268705562391, 0.014548989231119408, 0.014544370832786696, 0.014540960397490227, 0.014538440290804151, 0.014536583802944595, 0.014535226557537188, 0.014534247720116035, 0.014533557382532959, 0.014533087931441592, 0.014532788041259646, 0.014532618428903682, 0.014532548811548831, 0.014532555698733554, 0.014532620771381106, 0.0145327296790843, 0.014532871139044333, 0.014533036254971295, 0.014533217998016551, 0.014533410808192341, 0.014533610286171708, 0.014533812953437246, 0.014534016064509428, 0.014534217459138072, 0.014534415445361349, 0.014534608706553476, 0.014534796227221869, 0.014534977233537754, 0.014535151145501897, 0.014535317538341853, 0.014535476111265565, 0.014535626662100778, 0.014535769066661489, 0.014535903261924353, 0.014536029232285586, 0.0145361469983165, 0.014536256607551232, 0.014536358126931685, 0.014536451636607405, 0.014536537224845705, 0.014536614983853873, 0.014536685006352372, 0.014536747382768037, 0.01453680219894082, 0.014536849534257209, 0.014536889460140322, 0.014536922038839778, 0.014536947322475839, 0.01453696535230214, 0.014536976158159137, 0.014536979758097758, 0.014536976158159135, 0.014536965352302145, 0.014536947322475839, 0.014536922038839781, 0.014536889460140331, 0.014536849534257211, 0.014536802198940825, 0.01453674738276804, 0.014536685006352364, 0.014536614983853875, 0.014536537224845707, 0.014536451636607411, 0.01453635812693169, 0.014536256607551229, 0.014536146998316495, 0.014536029232285584, 0.014535903261924355, 0.014535769066661491, 0.014535626662100771, 0.014535476111265565, 0.014535317538341856, 0.014535151145501904, 0.01453497723353776, 0.014534796227221865, 0.014534608706553471, 0.014534415445361354, 0.01453421745913807, 0.014534016064509422, 0.014533812953437246, 0.014533610286171702, 0.014533410808192346, 0.014533217998016554, 0.014533036254971293, 0.014532871139044331, 0.014532729679084307, 0.014532620771381108, 0.014532555698733553, 0.014532548811548833, 0.014532618428903684, 0.014532788041259643, 0.014533087931441594, 0.014533557382532966, 0.014534247720116033, 0.014535226557537188, 0.014536583802944598, 0.014538440290804158, 0.01454096039749023, 0.014544370832786691, 0.014548989231119412, 0.014555268705562377, 0.014563869185237135, 0.014575775233832231, 0.014592497724213992, 0.0146164337721991, 0.014651541618313767, 0.014704683280924715, 0.014788496548166516, 0.014928122463135374, 0.015178926657580409, 0.015681170465798939, 0.016871249348618007, 0.020635710289468437, 0.041035202374495108, 0.073400531602101429, 0.027601879601685333, 0.01961668940959703, 0.017294136978278914, 0.016316175808205147, 0.015810066156323584, 0.015512068850865982, 0.015320492714297841, 0.015189261951899131, 0.015094961401689717, 0.015024624970490756, 0.014970577461413887, 0.014928026690176881, 0.014893847103261481, 0.014865924665629011, 0.014842784820616938, 0.014823371558811277, 0.014806911120846505, 0.014792825095113158, 0.014780673391805554, 0.014770115861551429, 0.01476088587515683, 0.014752771767700772, 0.014745603568456708, 0.014739243354706605, 0.01473357813507566, 0.014728514527600626, 0.014723974730356595, 0.014719893435828196, 0.014716215443098545, 0.014712893792069418, 0.014709888292454773, 0.014707164354328114, 0.014704692051185169, 0.014702445363865743, 0.014700401566313073, 0.014698540723427553, 0.014696845278152567, 0.014695299710079121, 0.014693890251742498, 0.014692604651741667, 0.014691431976079672, 0.014690362440874584, 0.014689387270952932, 0.014688498579903543, 0.014687689268009604, 0.014686952935142649, 0.014686283806232324, 0.014685676667351259, 0.014685126810796846, 0.014684629987829496, 0.014684182367952775, 0.014683780503806036, 0.014683421300892421, 0.014683101991490886, 0.014682820112205874, 0.014682573484695816, 0.014682360199195405, 0.014682178600509247, 0.014682027276207828, 0.014681905046802767, 0.014681810957718588, 0.014681744272913301, 0.014681704470031812, 0.014681691237004777, 0.014681697851679946, 0.014681717725511301, 0.014681750947993979, 0.014681797668545857, 0.014681858096898998, 0.014681932503652625, 0.014682021220992764, 0.01468212464358499, 0.01468224322964855, 0.014682377502221778, 0.014682528050630408, 0.014682695532172484, 0.014682880674035578, 0.014683084275464452, 0.014683307210199519, 0.014683550429209583, 0.014683814963745037, 0.014684101928741417, 0.014684412526606601, 0.01468474805142957, 0.014685109893652905, 0.014685499545257065, 0.014685918605509945, 0.014686368787342436, 0.014686851924418235, 0.014687369978974877, 0.014687925050523269, 0.014688519385504084, 0.014689155388012857, 0.014689835631720561, 0.014690562873133875, 0.014691340066359498, 0.014692170379560141, 0.014693057213316906, 0.014694004221143997, 0.014695015332438811, 0.014696094778192982, 0.014697247119840592, 0.014698477281678725, 0.014699790587365875, 0.014701192801085814, 0.014702690174063011, 0.014704289497232473, 0.01470599816100608, 0.014707824223244979, 0.014709776486748231, 0.014711864587810767, 0.014714099097697384, 0.014716491639236931, 0.014719055021177145, 0.01472180339347603, 0.014724752427364596, 0.014727919524831797, 0.014731324063196881, 0.014734987681702267, 0.014738934618653145, 0.014743192109642493, 0.014747790859958256, 0.014752765607539346, 0.014758155797056083, 0.014764006391142981, 0.014770368851927061, 0.014777302335350163, 0.014784875153182237, 0.014793166574195266, 0.014802269058318855, 0.014812291048031856, 0.014823360483109093, 0.014835629263058082, 0.014849278963483543, 0.014864528229291404, 0.014881642436095778, 0.01490094645794691, 0.014922841746654349, 0.01494782948365125, 0.014976542422025931, 0.015009789384087775, 0.015048618547735581, 0.015094409228558368, 0.01514900791781627, 0.015214934905063019, 0.015295706904810767, 0.015396356943054475, 0.015524303045775447, 0.01569086226025548, 0.015914023717622211, 0.016223838029425824, 0.016673674028882247, 0.017365927926296872, 0.018517794399494716, 0.020656323757629463, 0.025321578815218133, 0.038261747288142925, 0.08027036431113628, 0.076868861121717813, 0.034733276794322275, 0.022773104485233578, 0.018726643948677773, 0.01697790149579468, 0.016088313570630054, 0.015583001737365791, 0.01527255465672428, 0.015070394787856311, 0.014932730704687855, 0.014835619079477927, 0.0147651371513396, 0.014712774986177327, 0.01467311241927899, 0.014642575830863678, 0.014618738760441684, 0.01459991143664353, 0.014584890940859676, 0.014572804257676437, 0.014563006906986836, 0.0145550158510623, 0.014548464108810066, 0.014543069448809738, 0.014538612410724985, 0.014534920627938252, 0.01453185748175157, 0.014529313781056178, 0.014527201586273478, 0.014525449573539954, 0.01452399951901465, 0.014522803607140174, 0.014521822351450917, 0.014521022975270243, 0.014520378140866005, 0.014519159389886072, 0.014518693806594615, 0.014518703453186781, 0.014519013150677587, 0.014519509855081374, 0.014520119132233306, 0.014520791089713563, 0.014521491729495184, 0.014522197505271258, 0.014522891826147867, 0.014523562770748569, 0.014524201569869638, 0.014524801586136837, 0.0145253576202579, 0.014525865434901846, 0.014526321425321101, 0.01452672238987692, 0.01452706536906306, 0.014527347531679715, 0.01452756609345383, 0.014527718257849235, 0.014527801171828445, 0.014527811891411347, 0.014527747353355012, 0.014527604350382563, 0.014527379508294745, 0.014527069264162444, 0.014526669845794361, 0.014526177254027812, 0.014525587251445924, 0.014524895364444077, 0.01452409691111717, 0.014523187076927624, 0.014522161076650409, 0.014521014470476852, 0.014519743755522667, 0.014518347453340869, 0.014516828104467385, 0.014515195958542672, 0.014513475927105404, 0.014511721048023243, 0.01451003954906596, 0.014508651955201009, 0.014508019396384467, 0.014509156367165703, 0.014514480027357784, 0.014530485012653539, 0.014578197250645257, 0.014751056045452144, 0.015858998595044617, 0.069525795499089854, 0.01684873899962858, 0.015258420734693624, 0.014916515358334884, 0.014782922788999009, 0.014714821013010727, 0.014674419725558949, 0.014647986357732319, 0.014629473115996119, 0.014615846483039711, 0.014605434559494531, 0.014597247691063528, 0.014590666360772574, 0.014585284919866406, 0.01458082777605486, 0.014577101839647961, 0.014573968243956644, 0.014571324844273047, 0.014569095010148015, 0.014567220231365582, 0.014565655111142557, 0.01456436389688592, 0.014563318026655548, 0.014562494361967358, 0.014561873893931938, 0.014561440781918039, 0.014561181629788204, 0.014561084934508039, 0.014561140661614635, 0.014561339915285272, 0.014561674679820003, 0.014562137615656447, 0.014562721897477376, 0.014563421085142985, 0.014564229020471319, 0.014565139744564932, 0.014566147431619334, 0.01456724633607151, 0.014568430750642495, 0.01456969497335592, 0.01457103328201945, 0.014572439914968288, 0.014573909057112391, 0.014575434830518961, 0.014577011288910091, 0.014578632415572937, 0.014580292124271673, 0.014581984262823642, 0.014583702619058427, 0.014585440928923664, 0.014587192886535021, 0.014588952155993708, 0.014590712384813635, 0.01459246721881368, 0.01459421031833829, 0.014595935375674987, 0.014597636133537938, 0.014599306404485849, 0.014600940091139212, 0.014602531207057257, 0.014604073898129082, 0.014605562464327577, 0.014606991381668391, 0.01460835532420985, 0.014609649185924955, 0.0146108681022719, 0.014612007471286759, 0.014613062974020831, 0.014614030594145082, 0.014614906636547569, 0.014615687744753759, 0.014616370917007125, 0.014616953520856742, 0.01461743330610989, 0.01461780841602222, 0.014618077396613033, 0.014618239204011467, 0.01461829320975876, 0.014618257202852387, 0.01461814928518331, 0.014617969765579004, 0.014617719157679274, 0.014617398178334544, 0.014617007745378625, 0.014616548974790247, 0.014616023177262323, 0.014615431854201088, 0.014614776693180878, 0.014614059562883549, 0.014613282507554368, 0.014612447741008547, 0.014611557640224971, 0.014610614738565158, 0.014609621718657191, 0.014608581404984741, 0.014607496756222497, 0.014606370857358822, 0.014605206911646589, 0.014604008232422135, 0.014602778234831399, 0.014601520427500956, 0.014600238404189374, 0.01459893583545278, 0.014597616460355782, 0.014596284078256177, 0.014594942540688905, 0.014593595743371568, 0.014592247618350301, 0.014590902126301129, 0.014589563248998275, 0.014588234981956542, 0.014586921327251258, 0.01458562628651466, 0.014584353854103104, 0.01458310801042547, 0.014581892715418031, 0.014580711902146538, 0.014579569470511569, 0.014578469281028085, 0.01457741514864532, 0.01457641083656803, 0.014575460050034931, 0.014574566430005221, 0.014573733546698582, 0.014572964892929276, 0.014572263877169566, 0.014571633816272953, 0.014571077927783021, 0.014570599321749207, 0.01457020099196713, 0.014569885806557938, 0.014569656497798813, 0.014569515651115781, 0.014569465693150539, 0.014569508878815215, 0.014569647277253815, 0.01456988275663674, 0.014570216967725702, 0.014570651326161409, 0.014571186993446655, 0.014571824856622074, 0.014572565506664085, 0.014573409215672292, 0.01457435591295995, 0.01457540516021453, 0.014576556125957617, 0.014577807559603568, 0.014579157765494297, 0.014580604577372114, 0.014582145333842883, 0.014583776855474349, 0.014585495424267512, 0.014587296766327697, 0.014589176038641221, 0.014591127820928862, 0.014593146113590708, 0.014595224342772427, 0.014597355373562796, 0.014599531532270517, 0.014601744638617352, 0.014603986048521733, 0.014606246707928566, 0.014608517217868154, 0.014610787910603763, 0.014613048936361197, 0.014615290359737115, 0.014617502264471052, 0.014619674864858705, 0.014621798621702941, 0.014623864360366565, 0.014625863388229904, 0.014627787608687078, 0.014629629628753188, 0.014631382857411631, 0.014633041592009711, 0.014634601090308619, 0.014636057626197402, 0.014637408527573564, 0.014638652195448659, 0.014639788103928526, 0.014640816781313761, 0.014641739773136144, 0.01464255958846411, 0.014643279631251093, 0.014643904118847504, 0.014644437990040034, 0.014644886805116036, 0.014645256640480001, 0.014645553980280812, 0.014645785607356816, 0.014645958495586298, 0.014646079705461765, 0.014646156284406542, 0.014646195173038386, 0.014646203118273747, 0.014646186593871163, 0.014646151728744075, 0.014646104243139706, 0.014646049392587665, 0.014645991919370799, 0.014645936011163593, 0.014645885266417007, 0.014645842666041997, 0.01464581055095133, 0.014645790605057416, 0.014645783843387166], [0.014680272385054878, 0.014680224884090359, 0.014680082493754631, 0.014679845551331991, 0.014679514617669021, 0.014679090475245345, 0.014678574125496464, 0.014677966785411223, 0.014677269883433581, 0.014676485054704126, 0.014675614135681485, 0.014674659158190214, 0.014673622342945373, 0.01467250609260899, 0.01467131298443663, 0.014670045762576512, 0.014668707330085474, 0.01466730074072888, 0.014665829190633445, 0.014664296009862913, 0.014662704653988204, 0.014661058695723511, 0.01465936181670119, 0.014657617799457467, 0.014655830519701877, 0.014654003938942837, 0.014652142097541804, 0.014650249108268997, 0.014648329150433381, 0.014646386464660776, 0.014644425348395006, 0.014642450152198127, 0.014640465276928765, 0.014638475171880126, 0.014636484333963518, 0.014634497308027671, 0.014632518688410888, 0.014630553121829957, 0.014628605311718303, 0.014626680024136425, 0.014624782095388854, 0.014622916441495076, 0.014621088069676613, 0.014619302092038077, 0.014617563741637283, 0.014615878391156856, 0.014614251574407497, 0.014612689010909456, 0.01461119663381227, 0.014609780621422243, 0.014608447432607752, 0.014607203846341687, 0.01460605700561151, 0.014605014465873216, 0.014604084248135075, 0.014603274896617856, 0.014602595540731339, 0.014602055960810592, 0.014601666656640113, 0.014601438917224405, 0.014601384889495696, 0.014601517642633236, 0.014601851223345966, 0.014602400695782187, 0.014603182157620275, 0.014604212721325404, 0.014605510446526578, 0.014607094206041938, 0.014608983464433872, 0.014611197944450295, 0.014613757153881624, 0.014616679744113504, 0.014619982673223704, 0.014623680152457739, 0.014627782367191304, 0.014632293983917318, 0.01463721248476311, 0.014642526410679205, 0.0146482136416584, 0.014654239891861067, 0.014660557640266527, 0.014667105740940574, 0.014673809947146182, 0.014680584528357738, 0.014687335053835751, 0.014693962267685474, 0.014700366809440747, 0.014706454374532541, 0.014712140798557937, 0.014717356519551653, 0.014722049937355614, 0.014726189338799919, 0.014729763260013797, 0.014732779368754074, 0.014735262127270455, 0.014737249609999612, 0.01473878988949907, 0.014739937376026654, 0.014740749420899674, 0.014741283395483256, 0.014741594358194325, 0.014741733336646391, 0.014741746188882935, 0.014741672968024668, 0.014741547695768267, 0.014741398447085047, 0.0147412476558297, 0.014741112564078734, 0.01474100575328457, 0.014740935710342991, 0.01474090739503303, 0.014740922786366507, 0.014740981394057674, 0.014741080727772223, 0.014741216721366529, 0.01474138411235466, 0.01474157677870162, 0.014741788036049478, 0.014742010898895107, 0.014742238309256767, 0.014742463336141421, 0.014742679348766311, 0.014742880166071448, 0.014743060184636121, 0.014743214486711672, 0.014743338929722934, 0.01474343021827838, 0.014743485959464356, 0.014743504701977507, 0.014743517083913565, 0.01474355432897115, 0.014743616735510648, 0.014743704802850683, 0.014743819234383169, 0.014743960942011644, 0.014744131051992199, 0.014744330912282434, 0.014744562101532237, 0.014744826439882132, 0.014745126001771053, 0.014745463130996657, 0.01474584045831925, 0.014746260921956323, 0.014746727791380202, 0.014747244694909799, 0.014747815651679467, 0.014748445108680265, 0.014749137983702285, 0.014749899715169974, 0.014750736320060307, 0.014751654461335929, 0.014752661526624609, 0.014753765720244942, 0.014754976171137881, 0.014756303059837725, 0.014757757768338422, 0.01475935305762412, 0.014761103278795026, 0.014763024625208208, 0.014765135434971054, 0.014767456555616761, 0.014770011786048734, 0.014772828415135851, 0.014775937882048801, 0.014779376591081807, 0.014783186924063621, 0.014787418507622725, 0.014792129812135525, 0.014797390186523393, 0.01480328247173043, 0.014809906391124278, 0.014817382996595584, 0.014825860567980041, 0.014835522541740928, 0.014846598317250305, 0.014859378213406077, 0.014874234523972907, 0.014891651721610439, 0.014912270704584498, 0.014936955159247712, 0.014966893776071681, 0.015003762534592733, 0.01504999149479576, 0.015109221522182184, 0.015187124338948654, 0.015292961233223219, 0.015442758434358238, 0.015666359011326094, 0.016024915466467938, 0.016661167032919984, 0.017977125830783699, 0.021491562610836679, 0.036582934098977421, 0.084219574360552385, 0.028151952645764502, 0.018560766573787423, 0.016300225371273829, 0.015484138602562548, 0.015113099866975259, 0.014918977797185994, 0.014807466498929212, 0.014739035776626472, 0.014694949843552105, 0.014665484219005234, 0.014645226225408751, 0.014630991550444301, 0.014620820738244411, 0.014613462431508442, 0.014608092206144159, 0.014604152365128421, 0.014601256999999876, 0.014599133796757419, 0.014597587301159844, 0.014596475124602907, 0.014595692176719141, 0.014595160002909563, 0.01459481944194036, 0.014594625486572158, 0.014594543632749445, 0.014594547251261783, 0.014594615672322085, 0.014594732774075218, 0.014594885931813236, 0.014595065228377823, 0.014595262855713062, 0.014595472657695733, 0.014595689778339509, 0.014595910389261457, 0.014596131477240872, 0.014596350677671382, 0.014596566143302432, 0.014596776440289439, 0.014596980465502295, 0.014597177380474873, 0.014597366558447775, 0.014597547541763487, 0.014597720007483153, 0.014597883739560547, 0.014598038606265811, 0.014598184541828015, 0.014598321531478733, 0.014598449599246636, 0.014598568797983378, 0.01459867920120415, 0.014598780896408032, 0.014598873979607727, 0.014598958550850237, 0.014599034710551321, 0.014599102556500047, 0.014599162181416787, 0.014599213670969929, 0.014599257102174763, 0.014599292542112719, 0.014599320046921544, 0.014599339661017488, 0.014599351416519546, 0.014599355332853371, 0.01459935141651955, 0.014599339661017492, 0.014599320046921542, 0.014599292542112726, 0.014599257102174771, 0.014599213670969932, 0.014599162181416794, 0.01459910255650005, 0.014599034710551314, 0.014598958550850236, 0.014598873979607721, 0.014598780896408033, 0.014598679201204149, 0.014598568797983377, 0.014598449599246634, 0.014598321531478725, 0.014598184541828018, 0.014598038606265818, 0.014597883739560535, 0.014597720007483158, 0.014597547541763487, 0.01459736655844778, 0.014597177380474875, 0.014596980465502294, 0.014596776440289436, 0.014596566143302443, 0.014596350677671378, 0.014596131477240863, 0.014595910389261463, 0.014595689778339499, 0.014595472657695733, 0.014595262855713062, 0.01459506522837783, 0.014594885931813231, 0.014594732774075223, 0.014594615672322089, 0.014594547251261783, 0.014594543632749441, 0.014594625486572156, 0.014594819441940358, 0.01459516000290957, 0.014595692176719145, 0.014596475124602899, 0.014597587301159841, 0.014599133796757419, 0.014601256999999881, 0.014604152365128419, 0.014608092206144159, 0.014613462431508441, 0.014620820738244401, 0.014630991550444283, 0.014645226225408741, 0.01466548421900524, 0.0146949498435521, 0.01473903577662646, 0.014807466498929276, 0.014918977797186038, 0.01511309986697516, 0.015484138602562392, 0.016300225371272674, 0.018560766573784061, 0.028151952645769571, 0.084219574360531541, 0.036582934098972612, 0.021491562610836398, 0.017977125830783598, 0.016661167032920424, 0.016024915466467983, 0.015666359011326323, 0.015442758434358163, 0.015292961233223254, 0.015187124338948638, 0.015109221522182187, 0.015049991494795738, 0.015003762534592728, 0.014966893776071691, 0.014936955159247745, 0.014912270704584521, 0.014891651721610449, 0.014874234523972917, 0.01485937821340607, 0.01484659831725031, 0.01483552254174093, 0.014825860567980041, 0.014817382996595586, 0.014809906391124273, 0.01480328247173043, 0.014797390186523388, 0.014792129812135535, 0.014787418507622725, 0.014783186924063621, 0.014779376591081805, 0.014775937882048803, 0.014772828415135849, 0.014770011786048729, 0.014767456555616763, 0.014765135434971063, 0.014763024625208208, 0.01476110327879503, 0.014759353057624118, 0.014757757768338424, 0.014756303059837727, 0.014754976171137886, 0.014753765720244944, 0.014752661526624609, 0.014751654461335931, 0.014750736320060305, 0.014749899715169977, 0.014749137983702278, 0.014748445108680262, 0.014747815651679465, 0.014747244694909794, 0.014746727791380204, 0.014746260921956316, 0.014745840458319257, 0.014745463130996646, 0.014745126001771051, 0.014744826439882128, 0.014744562101532235, 0.014744330912282439, 0.014744131051992201, 0.014743960942011648, 0.014743819234383173, 0.014743704802850683, 0.014743616735510645, 0.014743554328971148, 0.014743517083913563, 0.014743504701977517, 0.014743510891198224, 0.014743529487485941, 0.014743560576788012, 0.014743604302585924, 0.014743660866251361, 0.014743730527549292, 0.014743813605292613, 0.014743910478154319, 0.014744021585644662, 0.014744147429262368, 0.014744288573830418, 0.014744445649028839, 0.014744619351138792, 0.014744810445014404, 0.014745019766300653, 0.014745248223918799, 0.014745496802842761, 0.014745766567193584, 0.014746058663681946, 0.014746374325432878, 0.014746714876230523, 0.014747081735226174, 0.014747476422157433, 0.014747900563132896, 0.014748355897043229, 0.014748844282667362, 0.014749367706551447, 0.01474992829174788, 0.014750528307513716, 0.014751170180080495, 0.014751856504622973, 0.014752590058571508, 0.014753373816433251, 0.014754210966310426, 0.014755104928331124, 0.01475605937523999, 0.014757078255432364, 0.014758165818759194, 0.014759326645480166, 0.014760565678802209, 0.014761888261510685, 0.014763300177283533, 0.014764807697377397, 0.014766417633491825, 0.01476813739775832, 0.014769975070968248, 0.014771939480356605, 0.014774040288501742, 0.01477628809519717, 0.014778694554510766, 0.014781272509685906, 0.014784036149077447, 0.014787001186979027, 0.01479018507401926, 0.014793607242825973, 0.014797289395934233, 0.014801255844518696, 0.014805533908558731, 0.014810154391622189, 0.014815152146750714, 0.014820566754173335, 0.014826443337074611, 0.014832833548823811, 0.014839796774513537, 0.014847401602177165, 0.014855727635794565, 0.014864867744784327, 0.014874930875451347, 0.014886045592207072, 0.014898364575300754, 0.014912070384742331, 0.014927382918324605, 0.014944569162462841, 0.01496395608495972, 0.014985947891668086, 0.015011049433822216, 0.015039898424392783, 0.015073310494448055, 0.015112343331005033, 0.015158389786451051, 0.015213316038697716, 0.015279671704621604, 0.015361018396209323, 0.015462460054018742, 0.015591530832307505, 0.01575974616196979, 0.015985451521015635, 0.016299377573036948, 0.016756291339806686, 0.017461746299683546, 0.01864098521942369, 0.020845157748265262, 0.025703865545329087, 0.039387144293430619, 0.083205625256483701, 0.073454925819793265, 0.033609597192229397, 0.022448965760885918, 0.018622629318584116, 0.016953444663822512, 0.016099116281394897, 0.015611830774066372, 0.015311603703409733, 0.015115706793500302, 0.014982119979798654, 0.014887794049887935, 0.014819291947166824, 0.014768383801496206, 0.01472981911232665, 0.014700131403014807, 0.014676964313615058, 0.014658675360359728, 0.014644094383883133, 0.014632371600483427, 0.014622879350121064, 0.014615147000130568, 0.014608816871271997, 0.0146036138121331, 0.01459932382478717, 0.01459577880933443, 0.014592845517640854, 0.014590417448931043, 0.014588408831568693, 0.01458675010411615, 0.014585384487218651, 0.014584265358215312, 0.014583354222733226, 0.014582619134629399, 0.014581224630139734, 0.014580677178015285, 0.014580659560573051, 0.014580973897232587, 0.014581493679361276, 0.014582136328871464, 0.014582846960503106, 0.014583588492974114, 0.014584335475902181, 0.014585070153372993, 0.014585779907304766, 0.014586455570572919, 0.014587090298880162, 0.014587678807581914, 0.014588216850350659, 0.014588700860074345, 0.014589127699682647, 0.014589494488016049, 0.014589798477143855, 0.014590036964958615, 0.01459020723181864, 0.014590306493349751, 0.014590331863811755, 0.014590280326054467, 0.014590148705288851, 0.014589933644875399, 0.014589631583256716, 0.014589238732218774, 0.014588751058100542, 0.014588164269752303, 0.014587473820575148, 0.014586674937900012, 0.014585762703138721, 0.014584732223949209, 0.014583578971455154, 0.014582299413602555, 0.014580892184416692, 0.014579360238537592, 0.014577714858922277, 0.01457598325568618, 0.014574223391219736, 0.01457255404401504, 0.014571218933234037, 0.014570732727933029, 0.014572243056146661, 0.014578535874454413, 0.014597302432144375, 0.014654525362700354, 0.014874977911114804, 0.016579748399195671, 0.045554616138584816, 0.016356428711672776, 0.015228435055436564, 0.014946755087398454, 0.014830045439656287, 0.014768640858018888, 0.014731484481284831, 0.014706842141059766, 0.014689412215899797, 0.014676486694609532, 0.014666552650465476, 0.014658705033096596, 0.014652372500211433, 0.014647178374117827, 0.014642865287533325, 0.014639252056928564, 0.014636207847615332, 0.01463363608523585, 0.014631464096554688, 0.014629636242672633, 0.014628109249694543, 0.014626848961228629, 0.014625828033995512, 0.014625024273074159, 0.014624419409747865, 0.014623998191229125, 0.014623747693827311, 0.01462365679865398, 0.014623715787232426, 0.014623916026718031, 0.014624249722904836, 0.014624709725093643, 0.014625289371063541, 0.014625982363369929, 0.014626782670350429, 0.014627684446800565, 0.014628681970451148, 0.014629769591252936, 0.014630941691134451, 0.014632192652400199, 0.014633516833322098, 0.014634908549774183, 0.014636362061992484, 0.014637871565722799, 0.014639431187161506, 0.01464103498120654, 0.014642676932624037, 0.014644350959805966, 0.014646050920848305, 0.01464777062172227, 0.01464950382634349, 0.014651244268368599, 0.014652985664566739, 0.014654721729625947, 0.014656446192261764, 0.014658152812500018, 0.014659835400006383, 0.014661487833333809, 0.014663104079955566, 0.014664678216946954, 0.014666204452172513, 0.014667677145829745, 0.014669090832193882, 0.014670440241401808, 0.014671720321108389, 0.014672926257843865, 0.01467405349789771, 0.014675097767553824, 0.01467605509250096, 0.014676921816246385, 0.01467769461736426, 0.014678370525417747, 0.014678946935403045, 0.014679421620574739, 0.014679792743526158, 0.014680058865413365, 0.01468021895322945, 0.014680272385054878, 0.014680236760796318, 0.014680129990013561, 0.014679952378366185, 0.014679704434225734, 0.014679386867091216, 0.014679000585385888, 0.014678546693649425, 0.014678026489144198, 0.014677441457897681, 0.014676793270206451, 0.014676083775630511, 0.0146753149975094, 0.01467448912703403, 0.014673608516910297, 0.014672675674652191, 0.014671693255543732, 0.014670664055309351, 0.014669591002533695, 0.014668477150871153, 0.014667325671085526, 0.014666139842959492, 0.014664923047112283, 0.014663678756762891, 0.014662410529473775, 0.014661121998908372, 0.014659816866633309, 0.014658498893993042, 0.014657171894082105, 0.014655839723836741, 0.014654506276264379, 0.014653175472825544, 0.014651851255979363, 0.014650537581899291, 0.014649238413362247, 0.014647957712809634, 0.01464669943557418, 0.014645467523262829, 0.014644265897280349, 0.01464309845247435, 0.014641969050877317, 0.01464088151551636, 0.014639839624256681, 0.014638847103639411, 0.014637907622669699, 0.014637024786505739, 0.01463620212999415, 0.014635443110992494, 0.014634751103414233, 0.014634129389927097, 0.014633581154231048, 0.014633109472837984, 0.014632717306271728, 0.014632407489603972, 0.01463218272224005, 0.014632045556867482, 0.014631998387481642, 0.014632043436405276, 0.014632182740224216, 0.014632418134569891, 0.014632751237690695, 0.014633183432770399, 0.014633715848972328, 0.014634349341213953, 0.014635084468709128, 0.01463592147235384, 0.014636860251078038, 0.014637900337340061, 0.014639040872002273, 0.014640280578896412, 0.014641617739464303, 0.014643050167942829, 0.014644575187650078, 0.014646189609019481, 0.014647889710117849, 0.014649671220467165, 0.014651529309063681, 0.014653458577546279, 0.014655453059502032, 0.014657506226904465, 0.014659611004651187, 0.014661759794097923, 0.014663944506367373, 0.014666156606042481, 0.014668387165631265, 0.014670626930916177, 0.014672866396979916, 0.014675095894339419, 0.014677305684233619, 0.014679486061713737, 0.014681627464796473, 0.014683720587582111, 0.014685756494932478, 0.014687726736069554, 0.01468962345431271, 0.01469143949013574, 0.014693168474802641, 0.014694804912035685, 0.014696344245476185, 0.014697782910103561, 0.014699118366264377, 0.014700349115505086, 0.014701474697971867, 0.014702495671710393, 0.014703413574737602, 0.014704230871242207, 0.014704950883678573, 0.01470557771283473, 0.014706116148170894, 0.014706571570836522, 0.014706949851786472, 0.014707257247338035, 0.014707500294354636, 0.014707685707023535, 0.014707820276932231, 0.014707910777858296, 0.01470796387638683, 0.014707986049173418, 0.014707983507391113, 0.014707962128647219, 0.014707927396436589, 0.014707884347018087, 0.014707837523460809, 0.014707790936508302, 0.014707748031848735, 0.014707711663356817, 0.014707684071882346, 0.014707666869198555, 0.014707661026784875], [0.014695020912128629, 0.014694973950812269, 0.014694833178089589, 0.014694598927254679, 0.014694271752517462, 0.014693852427094867, 0.014693341940562059, 0.014692741495486128, 0.014692052503371664, 0.014691276579953321, 0.014690415539875362, 0.014689471390804155, 0.01468844632702378, 0.014687342722569037, 0.014686163123954101, 0.014684910242558353, 0.014683586946733412, 0.014682196253697766, 0.014680741321287447, 0.014679225439632087, 0.014677652022827311, 0.014676024600674339, 0.014674346810558958, 0.01467262238954126, 0.014670855166728237, 0.014669049056001072, 0.014667208049168729, 0.014665336209619996, 0.014663437666545957, 0.014661516609805808, 0.014659577285509888, 0.014657623992395086, 0.014655661079070296, 0.01465369294221232, 0.014651724025796429, 0.014649758821450197, 0.014647801870025704, 0.014645857764491451, 0.014643931154253905, 0.014642026751028204, 0.014640149336388363, 0.014638303771139524, 0.014636495006668734, 0.01463472809844501, 0.014633008221855365, 0.01463134069057891, 0.014629730977717003, 0.014628184739910838, 0.0146267078446887, 0.014625306401290597, 0.014623986795214343, 0.014622755726711366, 0.014621620253425838, 0.014620587837309773, 0.0146196663958491, 0.014618864357488387, 0.014618190720927083, 0.014617655117655611, 0.014617267876678375, 0.014617040089797613, 0.014616983675066584, 0.014617111435015519, 0.014617437104956896, 0.014617975385034778, 0.014618741947650849, 0.014619753409449463, 0.014621027254189053, 0.014622581689647918, 0.01462443541839986, 0.014626607299201337, 0.014629115873432137, 0.014631978730383143, 0.01463521168736882, 0.014638827767149103, 0.014642835967665567, 0.014647239839248836, 0.014652035913306518, 0.014657212063863159, 0.014662745926877066, 0.014668603546731315, 0.014674738456048013, 0.014681091412504163, 0.014687591002156112, 0.014694155262863436, 0.014700694380551846, 0.014707114372974815, 0.014713321520652148, 0.014719227163311348, 0.01472475238614547, 0.014729832100406712, 0.014734418087882886, 0.014738480718167801, 0.014742009232029141, 0.01474501067423185, 0.014747507717232976, 0.014749535717421138, 0.014751139379142672, 0.014752369375728804, 0.014753279208848346, 0.0147539224992215, 0.014754350812327462, 0.014754612045845676, 0.01475474934823732, 0.014754800501512979, 0.014754797683450524, 0.014754767521019934, 0.014754731352821107, 0.014754705629757317, 0.014754702396715684, 0.014754729811507585, 0.014754792669435052, 0.014754892911980894, 0.014755030106122117, 0.014755201886772033, 0.014755404359141617, 0.014755632460699594, 0.014755880284221536, 0.01475614136443365, 0.014756408931209674, 0.014756676132355746, 0.014756936228858044, 0.014757182765174315, 0.014757409716794885, 0.014757611616930382, 0.014757783663831322, 0.014757921809927129, 0.014758022833695827, 0.014758084394941999, 0.014758105073965579, 0.014758116642776169, 0.01475815144420387, 0.01475820976379736, 0.014758292079350442, 0.014758399063755815, 0.014758531589070567, 0.014758690731865753, 0.014758877779955602, 0.014759094240628316, 0.014759341850528426, 0.014759622587374068, 0.014759938683729089, 0.014760292643093254, 0.014760687258623735, 0.01476112563485976, 0.014761611212891868, 0.014762147799499399, 0.014762739600879014, 0.01476339126170494, 0.014764107910405602, 0.014764895211715028, 0.014765759427769864, 0.014766707489283895, 0.01476774707865321, 0.014768886727244036, 0.014770135929611784, 0.014771505278022819, 0.014773006621434756, 0.014774653254085867, 0.01477646014011345, 0.014778444182249648, 0.014780624544749533, 0.014783023043448196, 0.014785664619440241, 0.014788577917631791, 0.014791795997757833, 0.014795357213993542, 0.014799306310883999, 0.014803695799232016, 0.014808587697666411, 0.014814055756612491, 0.014820188325451048, 0.01482709208713826, 0.014834896977366787, 0.014843762743172215, 0.014853887804094652, 0.014865521399453293, 0.01487898050865683, 0.014894673840109299, 0.014913136515909762, 0.014935081333663253, 0.014961476421578794, 0.0149936662138198, 0.015033566037788115, 0.015083986878459818, 0.015149201290386872, 0.015235981155259329, 0.015355621217090581, 0.015528193634761583, 0.015792383075245688, 0.016231203733196378, 0.017051484051098461, 0.01889644343539958, 0.02463360693179736, 0.056071362281577511, 0.053424255500864638, 0.022318900863993293, 0.017324258675020427, 0.015885175769603181, 0.015307967476834562, 0.015028780587657225, 0.014876754505518798, 0.014786993401698572, 0.014730821242252376, 0.014694114706376254, 0.014669326585344663, 0.014652159151640243, 0.014640037375896996, 0.014631352904556664, 0.014625065842795042, 0.014620483971827608, 0.014617134933975422, 0.014614689453791524, 0.014612913720220413, 0.014611639019687827, 0.014610741889693859, 0.014610130863112416, 0.014609737441216845, 0.014609509838623717, 0.014609408580556144, 0.014609403359661819, 0.014609470762975869, 0.014609592608749821, 0.014609754716406831, 0.014609945987856268, 0.014610157715146748, 0.014610383054357211, 0.014610616622754003, 0.014610854188160856, 0.014611092427879847, 0.014611328740472202, 0.014611561097999413, 0.01461178792943941, 0.014612008028271395, 0.014612220478906222, 0.014612424597889875, 0.014612619886746132, 0.014612805994031754, 0.01461298268471535, 0.014613149815401722, 0.014613307314239312, 0.014613455164592655, 0.014613593391751337, 0.014613722052095367, 0.014613841224253089, 0.014613951001879571, 0.014614051487756206, 0.014614142788969949, 0.014614225012977183, 0.014614298264393913, 0.014614362642384643, 0.014614418238545802, 0.014614465135200407, 0.014614503404036317, 0.014614533105034249, 0.014614554285643339, 0.014614566980171547, 0.014614571209366694, 0.014614566980171551, 0.014614554285643341, 0.014614533105034244, 0.014614503404036319, 0.014614465135200417, 0.014614418238545807, 0.014614362642384651, 0.014614298264393918, 0.014614225012977173, 0.01461414278896995, 0.014614051487756206, 0.01461395100187958, 0.014613841224253091, 0.014613722052095369, 0.014613593391751332, 0.014613455164592653, 0.014613307314239319, 0.014613149815401722, 0.014612982684715349, 0.014612805994031749, 0.014612619886746137, 0.014612424597889886, 0.014612220478906222, 0.014612008028271391, 0.014611787929439408, 0.014611561097999423, 0.014611328740472194, 0.014611092427879842, 0.014610854188160856, 0.014610616622753999, 0.014610383054357211, 0.014610157715146749, 0.014609945987856273, 0.014609754716406827, 0.014609592608749826, 0.014609470762975876, 0.014609403359661819, 0.014609408580556149, 0.014609509838623719, 0.014609737441216847, 0.014610130863112417, 0.014610741889693853, 0.014611639019687822, 0.014612913720220411, 0.014614689453791524, 0.014617134933975427, 0.014620483971827608, 0.014625065842795043, 0.014631352904556668, 0.014640037375896982, 0.014652159151640228, 0.014669326585344642, 0.014694114706376257, 0.014730821242252366, 0.014786993401698556, 0.014876754505518876, 0.015028780587657291, 0.015307967476834402, 0.015885175769602914, 0.017324258675018221, 0.022318900863984938, 0.053424255500885677, 0.056071362281608708, 0.024633606931795959, 0.018896443435399275, 0.017051484051098395, 0.016231203733196677, 0.015792383075245723, 0.015528193634761746, 0.015355621217090531, 0.015235981155259355, 0.015149201290386854, 0.015083986878459816, 0.015033566037788097, 0.014993666213819801, 0.014961476421578804, 0.014935081333663279, 0.014913136515909781, 0.014894673840109307, 0.014878980508656842, 0.014865521399453286, 0.014853887804094659, 0.014843762743172211, 0.014834896977366787, 0.014827092087138264, 0.01482018832545105, 0.014814055756612496, 0.014808587697666414, 0.014803695799232021, 0.014799306310884004, 0.014795357213993547, 0.014791795997757831, 0.014788577917631794, 0.014785664619440246, 0.014783023043448196, 0.014780624544749533, 0.014778444182249651, 0.01477646014011345, 0.014774653254085866, 0.014773006621434756, 0.014771505278022819, 0.01477013592961178, 0.014768886727244036, 0.014767747078653214, 0.014766707489283893, 0.014765759427769868, 0.014764895211715028, 0.014764107910405604, 0.014763391261704933, 0.014762739600879015, 0.0147621477994994, 0.014761611212891865, 0.014761125634859758, 0.014760687258623732, 0.01476029264309325, 0.014759938683729081, 0.014759622587374068, 0.014759341850528429, 0.014759094240628316, 0.014758877779955607, 0.014758690731865746, 0.014758531589070568, 0.014758399063755812, 0.014758292079350442, 0.014758209763797358, 0.014758151444203874, 0.014758116642776162, 0.014758105073965581, 0.014758110856708341, 0.014758128232455373, 0.014758157283827157, 0.014758198148739016, 0.014758251020724873, 0.014758316149394754, 0.014758393841030143, 0.01475848445932256, 0.014758588426262308, 0.014758706223185522, 0.014758838391989108, 0.014758985536524976, 0.014759148324186476, 0.014759327487701935, 0.014759523827152078, 0.01475973821223059, 0.014759971584769214, 0.014760224961551768, 0.014760499437444279, 0.014760796188871907, 0.01476111647767688, 0.014761461655396236, 0.014761833168002367, 0.014762232561155136, 0.014762661486020099, 0.01476312170571418, 0.014763615102448105, 0.014764143685443345, 0.014764709599711809, 0.014765315135797685, 0.014765962740594326, 0.014766655029364032, 0.014767394799106362, 0.014768185043440737, 0.014769028969192331, 0.014769930014898047, 0.014770891871480502, 0.014771918505375313, 0.014773014184440112, 0.014774183507024728, 0.01477543143464153, 0.014776763328745664, 0.014778184992218385, 0.014779702716245681, 0.014781323333402726, 0.014783054277895221, 0.014784903654078229, 0.0147868803145761, 0.014788993949572645, 0.014791255189138194, 0.014793675720822094, 0.014796268425181228, 0.014799047532457728, 0.01480202880428714, 0.014805229745146054, 0.0148086698492776, 0.014812370890120266, 0.014816357260884001, 0.014820656376962565, 0.0148252991534724, 0.014830320574535604, 0.014835760375209131, 0.014841663862517803, 0.014848082909301993, 0.014855077164136267, 0.014862715533234977, 0.014871078007197244, 0.014880257928306533, 0.014890364825260795, 0.014901527985118061, 0.014913900991979062, 0.014927667546072089, 0.014943048996929276, 0.014960314197877973, 0.014979792543663694, 0.015001891432477946, 0.015027119969007316, 0.015056121613919695, 0.015089719886580342, 0.015128983487511023, 0.015175320942309353, 0.015230621214920716, 0.015297467856336813, 0.015379474416316753, 0.015481826860512795, 0.015612193675687308, 0.0157823198556441, 0.016010963541969746, 0.016329643972623039, 0.016794752986473659, 0.017515525502346092, 0.018726637504963638, 0.021007711516935711, 0.026095376997668705, 0.04066813335067701, 0.086324387069480604, 0.06974648899245435, 0.032431315699321131, 0.022072216574532153, 0.018468395827655797, 0.016880229060072055, 0.016061939768519488, 0.015593100694250524, 0.015303327198739353, 0.01511382680904394, 0.014984395060807395, 0.014892900380470532, 0.014826404439491422, 0.01477696491240163, 0.014739505399971365, 0.014710669273985783, 0.014688171963133856, 0.014670419345031167, 0.014656274713213267, 0.014644911969108497, 0.014635720571533549, 0.014628242490579783, 0.014622129479582049, 0.014617113553009061, 0.014612986230925733, 0.014609583715148833, 0.014606776149070966, 0.014604459733636306, 0.01460255087002298, 0.01460098175969452, 0.014599697065331518, 0.014598651352818199, 0.01459780711433745, 0.014596196951979171, 0.014595543760634015, 0.014595484085132681, 0.014595793582564024, 0.014596330168341692, 0.014597001896572502, 0.014597748160131353, 0.014598528350057654, 0.014599314835593815, 0.014600088521168548, 0.014600835980102709, 0.014601547574882771, 0.014602216206982722, 0.014602836475381039, 0.014603404104389119, 0.01460391555121696, 0.014604367734753097, 0.014604757846735431, 0.014605083219188155, 0.014605341230304054, 0.014605529236457507, 0.014605644521734826, 0.014605684258899933, 0.014605645477490048, 0.014605525036045367, 0.014605319596533039, 0.014605025600016912, 0.014604639243751985, 0.014604156461407173, 0.014603572910439858, 0.014602883974412891, 0.01460208479438678, 0.014601170354451928, 0.014600135665684423, 0.014598976127284084, 0.014597688206905747, 0.01459627070130488, 0.014594727069611887, 0.014593069796463637, 0.014591328716736121, 0.01458956737875562, 0.014587916527814765, 0.014586646317327721, 0.014586333012810702, 0.014588279688621846, 0.014595712481611752, 0.01461779933910314, 0.014686982193438815, 0.014973358484858788, 0.017796380391744599, 0.028181180154721062, 0.01600208391802569, 0.015169395076288301, 0.01493423689742306, 0.014831601242418438, 0.014776016755088519, 0.014741755796263261, 0.014718741194285347, 0.014702309256243688, 0.014690036400777418, 0.014680550915246632, 0.014673023875405769, 0.014666927738018918, 0.014661912391176563, 0.014657737299889831, 0.014654232344447416, 0.014651274193456392, 0.014648771500311013, 0.014646655320759677, 0.014644872731458694, 0.014643382472819072, 0.014642151907534481, 0.014641154855317993, 0.014640370024053941, 0.014639779854996293, 0.014639369660598792, 0.01463912697257303, 0.014639041043257906, 0.014639102460351194, 0.014639302846546753, 0.014639634623528623, 0.014640090825296301, 0.014640664949704514, 0.014641350839903974, 0.014642142589402999, 0.014643034465961654, 0.014644020850636704, 0.014645096189123085, 0.014646254953164118, 0.01464749161027927, 0.014648800600424824, 0.014650176318486675, 0.014651613101725112, 0.014653105221464654, 0.014654646878457916, 0.01465623220145984, 0.014657855248633266, 0.014659510011473672, 0.014661190420992936, 0.014662890355943165, 0.014664603652892506, 0.014666324117988468, 0.014668045540261408, 0.014669761706332534, 0.014671466416397673, 0.014673153501362401, 0.014674816841004138, 0.014676450383035351, 0.014678048162938316, 0.014679604324437177, 0.01468111314046645, 0.014682569034489635, 0.01468396660201462, 0.014685300632146452, 0.014686566129012838, 0.014687758332893297, 0.014688872740879549, 0.014689905126894037, 0.014690851560892528, 0.01469170842708074, 0.014692472440978339, 0.01469314066517096, 0.014693710523600197, 0.014694179814252277, 0.014694546720120466, 0.014694809818331022, 0.014694968087340145, 0.014695020912128629, 0.014694985692596408, 0.014694880134876662, 0.014694704541284782, 0.014694459414630925, 0.014694145456654028, 0.014693763565844148, 0.014693314834667329, 0.014692800546211434, 0.014692222170274707, 0.014691581358922247, 0.014690879941538899, 0.014690119919409604, 0.014689303459860735, 0.014688432889998198, 0.014687510690079479, 0.014686539486558568, 0.014685522044842898, 0.014684461261802836, 0.014683360158073429, 0.014682221870188517, 0.014681049642586154, 0.014679846819523393, 0.014678616836937155, 0.014677363214285763, 0.014676089546403865, 0.014674799495401092, 0.014673496782631888, 0.014672185180761065, 0.014670868505946434, 0.014669550610156561, 0.014668235373637815, 0.014666926697541341, 0.014665628496716357, 0.014664344692672453, 0.01466307920670897, 0.014661835953205211, 0.014660618833061148, 0.014659431727273187, 0.014658278490625263, 0.014657162945470622, 0.014656088875574859, 0.014655060019985835, 0.014654080066891145, 0.014653152647418864, 0.014652281329332075, 0.014651469610563, 0.014650720912527183, 0.014650038573153746, 0.014649425839562764, 0.014648885860316712, 0.014648421677168828, 0.014648036216227994, 0.014647732278457122, 0.014647512529420592, 0.014647379488195696, 0.014647335515365009, 0.014647382800009261, 0.014647523345626782, 0.014647758954914204, 0.01464809121335528, 0.014648521471581605, 0.01464905082649017, 0.014649680101129365, 0.014650409823398233, 0.014651240203643088, 0.014652171111282716, 0.014653202050647445, 0.014654332136279632, 0.014655560068012276, 0.01465688410621899, 0.014658302047710042, 0.014659811202835169, 0.01466140837444074, 0.014663089839414046, 0.014664851333626753, 0.014666688041157592, 0.014668594588726165, 0.014670565046298777, 0.014672592934826739, 0.014674671242041304, 0.014676792447151912, 0.014678948555169425, 0.014681131141401698, 0.014683331406443284, 0.014685540241706489, 0.01468774830522282, 0.01468994610709042, 0.014692124103567661, 0.014694272798431421, 0.014696382849848791, 0.014698445180674749, 0.014700451089805465, 0.014702392362008198, 0.014704261373530385, 0.014706051190776578, 0.014707755659438153, 0.014709369481669003, 0.014710888279214223, 0.014712308640803856, 0.014713628152602229, 0.014714845411030852, 0.01471596001783123, 0.014716972557777614, 0.01471788455995935, 0.014718698444006209, 0.014719417453007467, 0.014720045575162917, 0.014720587456394917, 0.014721048306241756, 0.014721433799350698, 0.014721749974801234, 0.014722003135329729, 0.014722199748310566, 0.014722346350092112, 0.014722449455006611, 0.014722515470084529, 0.014722550616222347, 0.014722560856287641, 0.014722551830407479, 0.014722528798480369, 0.014722496589783972, 0.014722459559420947, 0.014722421551254805, 0.014722385866933332, 0.014722355240578499, 0.014722331818732778, 0.014722317145189496, 0.014722312150395381], [0.014673955622347875, 0.014673909211104671, 0.014673770087245148, 0.014673538579998749, 0.014673215236815087, 0.014672800821476224, 0.014672296311477187, 0.014671702894697082, 0.014671021965389813, 0.014670255119529388, 0.014669404149549349, 0.014668471038522013, 0.014667457953827127, 0.014666367240363952, 0.014665201413364363, 0.014663963150868027, 0.014662655285923188, 0.014661280798578761, 0.014659842807735655, 0.014658344562926027, 0.014656789436090769, 0.014655180913425379, 0.014653522587365856, 0.014651818148785129, 0.014650071379471526, 0.014648286144960351, 0.014646466387789346, 0.014644616121249534, 0.014642739423702434, 0.014640840433535727, 0.014638923344830329, 0.014636992403812896, 0.014635051906170368, 0.014633106195305542, 0.014631159661616506, 0.014629216742886815, 0.014627281925879511, 0.014625359749234073, 0.014623454807773424, 0.014621571758337342, 0.014619715327268676, 0.014617890319690345, 0.014616101630723879, 0.014614354258813633, 0.014612653321335113, 0.014611004072679795, 0.014609411925022417, 0.014607882471987922, 0.014606421515443078, 0.014605035095639733, 0.014603729524929136, 0.014602511425246177, 0.0146013877695222, 0.01460036592711815, 0.01459945371326539, 0.01459865944234693, 0.01459799198462999, 0.014597460825749715, 0.014597076127817493, 0.014596848790452723, 0.014596790509275499, 0.014596913828405739, 0.014597232182244688, 0.014597759920220813, 0.014598512306226885, 0.014599505482141962, 0.014600756382146644, 0.014602282581596487, 0.014604102061220982, 0.014606232864722013, 0.014608692626028701, 0.014611497942355056, 0.014614663571926017, 0.01461820144216849, 0.0146221194668301, 0.014626420190277722, 0.014631099304932362, 0.014636144122953601, 0.014641532123402233, 0.014647229735971096, 0.014653191553787408, 0.014659360180200908, 0.014665666896832852, 0.014672033284108554, 0.014678373829280687, 0.014684599428828431, 0.014690621551481649, 0.014696356702893609, 0.014701730753055069, 0.014706682675842093, 0.014711167314553051, 0.014715156917109369, 0.014718641352726804, 0.014721627093036293, 0.014724135181695009, 0.014726198505156177, 0.014727858706141262, 0.014729163057143392, 0.014730161549875134, 0.014730904377014957, 0.014731439902001065, 0.014731813143075475, 0.014732064745620187, 0.014732230383398362, 0.014732340512579161, 0.014732420398619123, 0.014732490341020765, 0.01473256603094735, 0.014732658988722126, 0.01473277704037095, 0.014732924803367251, 0.014733104161016645, 0.014733314712307693, 0.014733554189650461, 0.014733818840957027, 0.014734103775271061, 0.014734403272909103, 0.014734711062089526, 0.014735020564508391, 0.014735325112445907, 0.014735618139882337, 0.014735893349865912, 0.014736144860073829, 0.014736367328188815, 0.014736556058406115, 0.014736707090106677, 0.014736817269489179, 0.014736884304748513, 0.014736906805217609, 0.01473691759804735, 0.014736950067569386, 0.014737004487396154, 0.014737081315270611, 0.01473718119568119, 0.014737304963586842, 0.014737453649317899, 0.01473762848473997, 0.014737830910791533, 0.014738062586531892, 0.014738325399865729, 0.014738621480143821, 0.014738953212878337, 0.01473932325685613, 0.014739734563985453, 0.014740190402274417, 0.01474069438241188, 0.014741250488510124, 0.014741863113672746, 0.014742537101178408, 0.014743277792224205, 0.014744091081358806, 0.014744983480964237, 0.014745962196425641, 0.014747035213975327, 0.014748211403628635, 0.014749500640167222, 0.014750913945801887, 0.014752463659000729, 0.014754163635054532, 0.014756029485338686, 0.014758078864018439, 0.014760331813260332, 0.014762811181036976, 0.014765543129592593, 0.014768557757915924, 0.014771889868633169, 0.014775579919275569, 0.01477967521089147, 0.014784231384909604, 0.014789314324160615, 0.014795002589226927, 0.014801390571676599, 0.014808592618735841, 0.014816748491314655, 0.014826030677783077, 0.014836654330070032, 0.014848890967410712, 0.014863087693153807, 0.014879694643231838, 0.01489930500446774, 0.014922714714773367, 0.014951013863761081, 0.014985730812284222, 0.015029067255752041, 0.015084296953306804, 0.015156473937562292, 0.015253761296724332, 0.015390095594601302, 0.01559098778673227, 0.015907548293084311, 0.016455427409122144, 0.017545798493803499, 0.02027109571797835, 0.03062268500613689, 0.084391076734445014, 0.033182082849755858, 0.019370006251040711, 0.016521233373940677, 0.015562110403055239, 0.015143313188934335, 0.014929924410818881, 0.014809641939878052, 0.014736888699534679, 0.014690563110000306, 0.014659906662838985, 0.014639015260303468, 0.014624455370287138, 0.014614134504863877, 0.014606727345561113, 0.014601367000943832, 0.014597470770028412, 0.014594637744714714, 0.014592586499702832, 0.014591116013232033, 0.014590080500613164, 0.014589372824617424, 0.01458891333050393, 0.014588642191296474, 0.014588514071565464, 0.014588494351146106, 0.014588556416140994, 0.014588679691354986, 0.014588848195014447, 0.01458904946611839, 0.014589273760783584, 0.014589513444877683, 0.01458976253132172, 0.014590016325006179, 0.014590271148444358, 0.014590524128482158, 0.014590773029523364, 0.014591016122436991, 0.014591252081011811, 0.014591479899805656, 0.014591698828703106, 0.014591908320589889, 0.014592107989373925, 0.014592297576204756, 0.014592476922216087, 0.01459264594647889, 0.014592804628131196, 0.014592952991867317, 0.014593091096137227, 0.014593219023538594, 0.01459333687298763, 0.014593444753336434, 0.014593542778169582, 0.014593631061564522, 0.014593709714641466, 0.014593778842762271, 0.014593838543264294, 0.014593888903637768, 0.014593930000072875, 0.014593961896317738, 0.014593984642801348, 0.014593998275985686, 0.014594002817920958, 0.014593998275985686, 0.014593984642801346, 0.014593961896317736, 0.014593930000072875, 0.014593888903637778, 0.014593838543264298, 0.014593778842762282, 0.014593709714641471, 0.014593631061564515, 0.014593542778169584, 0.014593444753336434, 0.014593336872987642, 0.014593219023538596, 0.014593091096137222, 0.014592952991867318, 0.01459280462813119, 0.01459264594647889, 0.014592476922216088, 0.014592297576204749, 0.014592107989373927, 0.014591908320589899, 0.014591698828703112, 0.01459147989980566, 0.014591252081011809, 0.014591016122436989, 0.014590773029523369, 0.014590524128482156, 0.014590271148444358, 0.014590016325006188, 0.014589762531321715, 0.014589513444877683, 0.014589273760783587, 0.014589049466118387, 0.014588848195014444, 0.014588679691354993, 0.014588556416141001, 0.014588494351146104, 0.014588514071565469, 0.014588642191296478, 0.014588913330503927, 0.01458937282461743, 0.014590080500613173, 0.014591116013232028, 0.014592586499702838, 0.014594637744714721, 0.014597470770028417, 0.014601367000943832, 0.014606727345561116, 0.014614134504863874, 0.014624455370287118, 0.014639015260303449, 0.014659906662838961, 0.014690563110000311, 0.014736888699534672, 0.01480964193987804, 0.014929924410818991, 0.015143313188934433, 0.015562110403055015, 0.016521233373940226, 0.019370006251035965, 0.033182082849729434, 0.084391076734432482, 0.030622685006145817, 0.02027109571797768, 0.017545798493803375, 0.016455427409122078, 0.015907548293084512, 0.015590987786732296, 0.015390095594601434, 0.01525376129672428, 0.015156473937562313, 0.015084296953306793, 0.015029067255752041, 0.01498573081228421, 0.014951013863761079, 0.014922714714773379, 0.014899305004467763, 0.014879694643231852, 0.014863087693153813, 0.014848890967410723, 0.014836654330070032, 0.01482603067778308, 0.014816748491314658, 0.014808592618735841, 0.014801390571676596, 0.014795002589226924, 0.014789314324160615, 0.014784231384909604, 0.014779675210891475, 0.014775579919275573, 0.014771889868633167, 0.014768557757915926, 0.014765543129592593, 0.014762811181036978, 0.014760331813260329, 0.014758078864018441, 0.014756029485338688, 0.014754163635054534, 0.014752463659000735, 0.014750913945801886, 0.014749500640167224, 0.014748211403628631, 0.014747035213975326, 0.014745962196425643, 0.014744983480964244, 0.014744091081358809, 0.014743277792224202, 0.014742537101178404, 0.014741863113672741, 0.014741250488510126, 0.014740694382411879, 0.014740190402274417, 0.014739734563985455, 0.014739323256856124, 0.014738953212878341, 0.014738621480143812, 0.014738325399865734, 0.014738062586531892, 0.014737830910791533, 0.014737628484739973, 0.014737453649317903, 0.014737304963586842, 0.014737181195681187, 0.014737081315270611, 0.014737004487396153, 0.014736950067569381, 0.014736917598047345, 0.014736906805217612, 0.014736912200048758, 0.014736928411027502, 0.014736955517668118, 0.014736993652689327, 0.01473704300230865, 0.01473710380665815, 0.014737176360325687, 0.014737261013026288, 0.014737358170410152, 0.014737468295014646, 0.014737591907369049, 0.014737729587262428, 0.014737881975186377, 0.014738049773966259, 0.014738233750596123, 0.014738434738294809, 0.014738653638802675, 0.014738891424941033, 0.014739149143458873, 0.01473942791819469, 0.014739728953584169, 0.014740053538548887, 0.014740403050804523, 0.014740778961632596, 0.014741182841164501, 0.014741616364232924, 0.014742081316852521, 0.014742579603399286, 0.014743113254567258, 0.014743684436190911, 0.014744295459033465, 0.014744948789654374, 0.014745647062484742, 0.014746393093256843, 0.014747189893954264, 0.014748040689472993, 0.014748948936210817, 0.014749918342834574, 0.014750952893511728, 0.014752056873936558, 0.014753234900532286, 0.014754491953270332, 0.014755833412619422, 0.014757265101220754, 0.014758793330985556, 0.014760424956429964, 0.014762167435204192, 0.014764028896943244, 0.014766018221771026, 0.014768145130037101, 0.014770420285165028, 0.014772855411855957, 0.014775463432336695, 0.014778258623888462, 0.01478125680156644, 0.014784475530855054, 0.014787934376042507, 0.014791655191397367, 0.014795662463863534, 0.014799983718055573, 0.014804649996963994, 0.014809696435142423, 0.014815162945480513, 0.014821095046283797, 0.014827544862721424, 0.014834572346363395, 0.014842246769349237, 0.014850648566889699, 0.014859871624978618, 0.014870026141798047, 0.014881242234848008, 0.01489367452649812, 0.014907508026172557, 0.014922965749449794, 0.014940318690998895, 0.014959899027653439, 0.014982117814893496, 0.01500748902736251, 0.015036662702464185, 0.015070471380232991, 0.015109996348523055, 0.015156664036585757, 0.015212389425673919, 0.015279794800454475, 0.01536255298422488, 0.015465943556434738, 0.015597788363436563, 0.015770094658396995, 0.016002092586474542, 0.016326205065063427, 0.016800691271744723, 0.01753903519089484, 0.018786869882472093, 0.021157204498056859, 0.026513868722928349, 0.042144483851984667, 0.089503365317521483, 0.065831383851968836, 0.03122726968987782, 0.021658775697516692, 0.01827684038385036, 0.016770214180637434, 0.015988390897478007, 0.015538267325427632, 0.01525911057331009, 0.01507610582581994, 0.014950889867433169, 0.014862263813243079, 0.014797796938833615, 0.014749839796920221, 0.014713493365143436, 0.014685512918798001, 0.014663686989995064, 0.014646470673508901, 0.014632761281060577, 0.014621756777197339, 0.014612863994788262, 0.014605637680173356, 0.014599739137680205, 0.014594907628535006, 0.014590940245837902, 0.014587677530251709, 0.014584993041328804, 0.01458278569761351, 0.014580974082836946, 0.014579492166794083, 0.014578286056620112, 0.014577311507073988, 0.014575441934437699, 0.014574657816732598, 0.014574541190070806, 0.01457483685504119, 0.014575384723897558, 0.014576082098040519, 0.014576861836664332, 0.014577679316490878, 0.014578504429303637, 0.01457931655587413, 0.014580101345734864, 0.014580848618369091, 0.014581550975122537, 0.014582202869648947, 0.014582799978799049, 0.014583338772985857, 0.014583816220438589, 0.014584229582069626, 0.014584576267981843, 0.014584853735949577, 0.014585059418346515, 0.014585190668102752, 0.014585244717069377, 0.014585218642122264, 0.014585109335766339, 0.014584913479146533, 0.014584627516436887, 0.014584247630782678, 0.014583769723594502, 0.014583189401465196, 0.014582501979005555, 0.014581702512693761, 0.014580785892599198, 0.014579747039614059, 0.014578581293263988, 0.014577285144212145, 0.014575857596333106, 0.014574302698679882, 0.014572634305113416, 0.014570885213100727, 0.014569125264259413, 0.01456749872667005, 0.014566305836506428, 0.014566193751932259, 0.014568647434141631, 0.014577420609416452, 0.014603516738042244, 0.014687904475358955, 0.015068141310290906, 0.02025918443446565, 0.021750922168184712, 0.015722580720878492, 0.015088185218354923, 0.014889575384277194, 0.014798769087649107, 0.014748265596865489, 0.014716594802508079, 0.01469506137461934, 0.014679549078133359, 0.014667883505481871, 0.014658818597282004, 0.014651594000068813, 0.01464572201361956, 0.014640876889506486, 0.014636833635226993, 0.014633432406544616, 0.014630556875646591, 0.014628120596810113, 0.014626058135028746, 0.014624319131204986, 0.014622864233633751, 0.014621662247821682, 0.014620688100887314, 0.014619921362399958, 0.014619345152759049, 0.014618945326278195, 0.01461870985215151, 0.014618628340087168, 0.014618691673158348, 0.014618891721129262, 0.014619221114902018, 0.014619673067901559, 0.01462024123388531, 0.014620919593300349, 0.014621702362227557, 0.014622583919360657, 0.014623558747514764, 0.014624621386943242, 0.014625766398336019, 0.014626988333825641, 0.014628281714676413, 0.014629641014602164, 0.014631060647869195, 0.014632534961506183, 0.014634058231072937, 0.0146356246595428, 0.014637228378934303, 0.014638863454392066, 0.014640523890466658, 0.014642203639382512, 0.014643896611112862, 0.014645596685102796, 0.01464729772349813, 0.014648993585748817, 0.014650678144461854, 0.014652345302382743, 0.014653989010384233, 0.014655603286339313, 0.014657182234751778, 0.014658720067012413, 0.014660211122142788, 0.014661649887882457, 0.014663031021968741, 0.014664349373451967, 0.014665600003883925, 0.014666778208212383, 0.014667879535211939, 0.01466889980727968, 0.014669835139424206, 0.014670681957279597, 0.014671437013979639, 0.01467209740573497, 0.014672660585964399, 0.014673124377842963, 0.01467348698514283, 0.014673747001258316, 0.014673903416323172, 0.014673955622347875, 0.014673920815360531, 0.014673816494138495, 0.014673642957590122, 0.014673400702859872, 0.014673090423781225, 0.014672713008725292, 0.014672269537859273, 0.014671761279832855, 0.014671189687914171, 0.014670556395600134, 0.01466986321172941, 0.014669112115128622, 0.014668305248825056, 0.014667444913861072, 0.014666533562747084, 0.01466557379259156, 0.014664568337946585, 0.014663520063409234, 0.014662431956017779, 0.014661307117482369, 0.014660148756288703, 0.014658960179712067, 0.014657744785778143, 0.014656506055204434, 0.014655247543354687, 0.01465397287223616, 0.014652685722566519, 0.014651389825934648, 0.014650088957076132, 0.014648786926281071, 0.014647487571947868, 0.014646194753293386, 0.014644912343225258, 0.014643644221378824, 0.014642394267316268, 0.014641166353881484, 0.014639964340699883, 0.014638792067807584, 0.014637653349389735, 0.014636551967603273, 0.014635491666454432, 0.014634476145696391, 0.014633509054707668, 0.014632593986306789, 0.014631734470454011, 0.014630933967785619, 0.014630195862921764, 0.014629523457483891, 0.014628919962753482, 0.01462838849189951, 0.014627932051698333, 0.014627553533666729, 0.014627255704526396, 0.014627041195917121, 0.014626912493275693, 0.014626871923799979, 0.014626921643420752, 0.014627063622710835, 0.014627299631670476, 0.014627631223340511, 0.014628059716212553, 0.014628586175427335, 0.014629211392779421, 0.014629935865580682, 0.014630759774474375, 0.014631682960339395, 0.014632704900478353, 0.014633824684345275, 0.014635040989137415, 0.014636352055651034, 0.014637755664881097, 0.014639249115928324, 0.014640829205861204, 0.014642492212261583, 0.014644233879257285, 0.014646049407907608, 0.014647933451853036, 0.014649880119162583, 0.014651882981304529, 0.014653935090122583, 0.014656029003615177, 0.014658156821184282, 0.014660310228841724, 0.014662480554632373, 0.014664658834259766, 0.014666835886584666, 0.01466900239832104, 0.014671149016889443, 0.014673266450021111, 0.014675345570354647, 0.014677377522952298, 0.014679353833403316, 0.014681266513996484, 0.014683108165349184, 0.014684872070886599, 0.014686552281677877, 0.014688143689356063, 0.01468964208516749, 0.014691044203600321, 0.014692347749511584, 0.014693551408184704, 0.014694654838277137, 0.014695658648136142, 0.014696564356442454, 0.014697374338566046, 0.014698091760366983, 0.014698720501435791, 0.014699265069935252, 0.014699730511279374, 0.014700122312869619, 0.014700446307013653, 0.014700708573990105, 0.014700915347008937, 0.014701072920567613, 0.01470118756343301, 0.014701265437203284, 0.014701312521135204, 0.0147013345436717, 0.014701336920879595, 0.014701324701814619, 0.014701302520673691, 0.014701274555473803, 0.014701244492913955, 0.014701215499027157, 0.014701190195214472, 0.014701170639265295, 0.014701158311005637, 0.014701154102274948], [0.014855584195616384, 0.014855538137587831, 0.014855400072475907, 0.014855170326823373, 0.014854849443609852, 0.014854438180375757, 0.014853937506619078, 0.014853348600487253, 0.014852672844793052, 0.014851911822389319, 0.014851067310942014, 0.014850141277146962, 0.014849135870439853, 0.01484805341625324, 0.014846896408877817, 0.014845667503988998, 0.014844369510901827, 0.014843005384619759, 0.014841578217744953, 0.014840091232318348, 0.014838547771659598, 0.014836951292276563, 0.01483530535591566, 0.014833613621823165, 0.014831879839288537, 0.014830107840540363, 0.0148283015340652, 0.014826464898420245, 0.014824601976610289, 0.014822716871100259, 0.014820813739535732, 0.014818896791244403, 0.014816970284594376, 0.014815038525286988, 0.014813105865665881, 0.014811176705127599, 0.014809255491725081, 0.014807346725061078, 0.014805454960576099, 0.014803584815344249, 0.014801740975499706, 0.014799928205427543, 0.014798151358864437, 0.014796415392066867, 0.014794725379217812, 0.014793086530254865, 0.014791504211314591, 0.014789983967996757, 0.014788531551657175, 0.014787152948936429, 0.01478585441472063, 0.014784642508705011, 0.014783524135686029, 0.014782506589634956, 0.014781597601495189, 0.014780805390484228, 0.014780138718453002, 0.014779606946537851, 0.014779220092910234, 0.014778988889853486, 0.01477892483763916, 0.01477904025169741, 0.014779348298333045, 0.014779863012692183, 0.014780599290803689, 0.014781572845298798, 0.01478280011188861, 0.014784298090958121, 0.014786084105932079, 0.014788175457745311, 0.014790588953373185, 0.014793340286750742, 0.014796443253595191, 0.01479990878892579, 0.014803743828815247, 0.014807950017285588, 0.014812522305826832, 0.014817447526075613, 0.014822703053120214, 0.014828255712578188, 0.014834061111274697, 0.014840063579363315, 0.014846196891313565, 0.01485238587743758, 0.014858548945979115, 0.014864601416851857, 0.014870459440321804, 0.01487604416281731, 0.014881285734140982, 0.014886126745225997, 0.014890524748986906, 0.014894453637841362, 0.014897903805168413, 0.014900881172635503, 0.014903405291687717, 0.014905506806164859, 0.014907224587956867, 0.014908602835076792, 0.014909688365801445, 0.014910528270591389, 0.014911168010569882, 0.014911649988218166, 0.014912012568327519, 0.014912289496422086, 0.014912509646092002, 0.014912697022649022, 0.01491287095452804, 0.014913046412554375, 0.014913234407935219, 0.014913442430773458, 0.014913674900913653, 0.014913933611443955, 0.014914218152013128, 0.014914526304341346, 0.014914854406100558, 0.014915197681962528, 0.014915550542310776, 0.014915906851117235, 0.014916260164989323, 0.014916603945555766, 0.014916931747301536, 0.014917237382774031, 0.014917515066828755, 0.014917759541307958, 0.01491796618127781, 0.014918131083706238, 0.014918251139251751, 0.014918324087655904, 0.014918348557086064, 0.014918358611926382, 0.014918388863980926, 0.014918439576321647, 0.01491851118898023, 0.014918604321344701, 0.014918719775573339, 0.0149188585410858, 0.014919021800211306, 0.01491921093509487, 0.014919427535986039, 0.014919673411061752, 0.014919950597964818, 0.01492026137727467, 0.01492060828816745, 0.014920994146569394, 0.0149214220661635, 0.014921895482674362, 0.014922418181934752, 0.014922994332330252, 0.014923628522330675, 0.014924325803952358, 0.014925091743159665, 0.014925932478414707, 0.014926854788830223, 0.014927866173683182, 0.014928974945422195, 0.014930190338768645, 0.014931522639096433, 0.014932983334010679, 0.014934585292978537, 0.014936342981051356, 0.014938272714240523, 0.014940392966073314, 0.014942724737408972, 0.014945292004939964, 0.014948122268217614, 0.014951247220918092, 0.014954703579955661, 0.014958534116748723, 0.014962788949593504, 0.014967527176377931, 0.014972818955259756, 0.014978748181178775, 0.01498541596388522, 0.014992945197408, 0.015001486635556487, 0.015011227075677711, 0.015022400540486551, 0.015035303797532611, 0.015050318274823678, 0.015067941608682245, 0.015088834041246673, 0.015113888320534497, 0.015144337917594024, 0.01518192985702862, 0.015229210808126632, 0.015290020842775013, 0.015370388628559353, 0.015480253165334806, 0.015637023020728343, 0.015873629487404565, 0.016258999539664223, 0.016958925871051713, 0.018462166716698414, 0.022761952840695723, 0.043717182499105618, 0.069442272565625532, 0.02464575004153623, 0.01793522937922476, 0.0161884670076307, 0.015524765314090253, 0.015214205336546603, 0.01504887548334741, 0.014952876574873626, 0.014893585846519796, 0.014855262694217563, 0.014829628642770008, 0.014812029534537925, 0.014799706146558792, 0.014790950451832846, 0.014784666625687901, 0.014780130168484246, 0.0147768496953405, 0.01477448455524496, 0.014772794087880698, 0.014771605460892149, 0.014770792765307563, 0.014770263122849042, 0.014769947268542574, 0.014769793052784239, 0.01476976088569988, 0.014769820496842181, 0.014769948600109876, 0.014770127190856294, 0.014770342290470554, 0.014770583011608763, 0.014770840855812109, 0.014771109181311904, 0.014771382796677368, 0.014771657648351637, 0.014771930578817488, 0.014772199138306531, 0.014772461437390206, 0.014772716030993024, 0.014772961826707823, 0.014773198012014327, 0.014773423996281057, 0.014773639364386172, 0.01477384383951282, 0.014774037253219819, 0.014774219521304994, 0.01477439062429744, 0.014774550591661542, 0.014774699488986822, 0.01477483740758629, 0.014774964456043323, 0.014775080753338584, 0.014775186423261463, 0.014775281589868409, 0.014775366373796426, 0.014775440889277456, 0.01477550524172877, 0.0147755595258195, 0.014775603823932617, 0.014775638204958521, 0.014775662723370105, 0.014775677418540582, 0.014775682314275701, 0.014775677418540589, 0.014775662723370104, 0.01477563820495852, 0.014775603823932615, 0.014775559525819505, 0.014775505241728774, 0.014775440889277463, 0.014775366373796429, 0.014775281589868402, 0.014775186423261462, 0.014775080753338585, 0.014774964456043333, 0.014774837407586294, 0.014774699488986822, 0.014774550591661538, 0.014774390624297435, 0.014774219521305003, 0.01477403725321982, 0.014773843839512812, 0.014773639364386174, 0.014773423996281065, 0.01477319801201434, 0.014772961826707832, 0.014772716030993022, 0.014772461437390203, 0.014772199138306534, 0.014771930578817483, 0.014771657648351635, 0.014771382796677369, 0.014771109181311888, 0.014770840855812113, 0.014770583011608768, 0.01477034229047056, 0.01477012719085629, 0.014769948600109883, 0.014769820496842185, 0.014769760885699881, 0.014769793052784244, 0.014769947268542574, 0.014770263122849039, 0.014770792765307569, 0.014771605460892153, 0.014772794087880693, 0.014774484555244959, 0.014776849695340502, 0.014780130168484245, 0.014784666625687903, 0.014790950451832846, 0.014799706146558803, 0.014812029534537904, 0.014829628642769982, 0.014855262694217532, 0.01489358584651981, 0.014952876574873614, 0.015048875483347391, 0.015214205336546757, 0.01552476531409039, 0.016188467007630245, 0.017935229379223833, 0.024645750041522658, 0.069442272565554408, 0.043717182499093184, 0.022761952840698804, 0.018462166716698102, 0.016958925871051651, 0.016258999539664188, 0.015873629487404714, 0.015637023020728367, 0.015480253165334917, 0.015370388628559314, 0.015290020842775023, 0.015229210808126625, 0.015181929857028622, 0.01514433791759401, 0.015113888320534499, 0.015088834041246687, 0.015067941608682264, 0.015050318274823695, 0.015035303797532614, 0.015022400540486558, 0.015011227075677709, 0.015001486635556491, 0.014992945197408, 0.014985415963885224, 0.014978748181178777, 0.014972818955259754, 0.014967527176377929, 0.014962788949593504, 0.014958534116748728, 0.014954703579955667, 0.01495124722091809, 0.014948122268217616, 0.014945292004939964, 0.014942724737408973, 0.014940392966073312, 0.014938272714240525, 0.014936342981051356, 0.014934585292978536, 0.014932983334010688, 0.014931522639096428, 0.014930190338768648, 0.014928974945422184, 0.014927866173683184, 0.014926854788830223, 0.01492593247841471, 0.014925091743159665, 0.01492432580395236, 0.014923628522330673, 0.014922994332330252, 0.014922418181934755, 0.014921895482674363, 0.014921422066163502, 0.014920994146569395, 0.014920608288167447, 0.01492026137727467, 0.014919950597964811, 0.014919673411061752, 0.014919427535986039, 0.014919210935094868, 0.014919021800211306, 0.014918858541085794, 0.01491871977557334, 0.014918604321344705, 0.014918511188980219, 0.01491843957632164, 0.014918388863980924, 0.014918358611926374, 0.014918348557086073, 0.014918353582993144, 0.01491836868629994, 0.014918393943816102, 0.014918429483734627, 0.014918475485898903, 0.014918532182180101, 0.014918599856968407, 0.014918678847782536, 0.01491876954600338, 0.014918872397738576, 0.014918987904826018, 0.014919116625985763, 0.014919259178131156, 0.014919416237851526, 0.014919588543080339, 0.014919776894964817, 0.014919982159954652, 0.014920205272129984, 0.014920447235790875, 0.014920709128333615, 0.014920992103441685, 0.014921297394623105, 0.014921626319129098, 0.014921980282293672, 0.01492236078233798, 0.014922769415689078, 0.014923207882868571, 0.014923677995013252, 0.014924181681098207, 0.014924720995941028, 0.014925298129076553, 0.014925915414602718, 0.014926575342111777, 0.01492728056883625, 0.014928033933156721, 0.014928838469639275, 0.014929697425793675, 0.014930614280771443, 0.014931592766254425, 0.014932636889822701, 0.014933750961133793, 0.014934939621296954, 0.014936207875887064, 0.01493756113211361, 0.014939005240745592, 0.014940546543493046, 0.014942191926666123, 0.014943948882075474, 0.014945825576309435, 0.014947830929729894, 0.01494997470677824, 0.014952267619485001, 0.014954721446444975, 0.014957349169969162, 0.014960165134677017, 0.014963185231473115, 0.014966427111695081, 0.014969910437269465, 0.014973657174024338, 0.014977691936959263, 0.014982042398361635, 0.0149867397723157, 0.014991819392553318, 0.014997321404978987, 0.015003291601890819, 0.015009782432352747, 0.015016854232964363, 0.015024576736272686, 0.015033030931476784, 0.015042311375597615, 0.015052529085381832, 0.015063815184458387, 0.015076325541952606, 0.015090246725773757, 0.015105803718096902, 0.015123270020581133, 0.015142981041449715, 0.015165352051678202, 0.015190902597908756, 0.015220290189350444, 0.015254357545483743, 0.015294200067820967, 0.015341264139574462, 0.015397493576004931, 0.015465553366438787, 0.015549181376839459, 0.01565375948256351, 0.015787276512005333, 0.015962024445491475, 0.016197744797104039, 0.016527838446527356, 0.01701258566681748, 0.017770077406618196, 0.019057873458484809, 0.021525574117717203, 0.027177766387430802, 0.043972756271175154, 0.092439884849654902, 0.062160575364606292, 0.030297256220429909, 0.021466297569671489, 0.018293599064278666, 0.016864724984183926, 0.016117969497279953, 0.015685965901244988, 0.015417147813665943, 0.015240502102758164, 0.015119434146899787, 0.015033644615267003, 0.014971194061120977, 0.014924717367170498, 0.01488948819322786, 0.014862371041795474, 0.014841225978870614, 0.014824556377131544, 0.01481129299753328, 0.014800657521966597, 0.014792073948854106, 0.01478510967805737, 0.014779435496350701, 0.014774797877602903, 0.014770999475719148, 0.014767885171789862, 0.014765331951673998, 0.014763241466795743, 0.014761534501598322, 0.01476014681376896, 0.014759025974895576, 0.014756870320793078, 0.014755947479091411, 0.014755775522259287, 0.014756063605333514, 0.014756631141120437, 0.014757363354856891, 0.01475818586768016, 0.014759049672112022, 0.014759921996091694, 0.014760780611626684, 0.014761610214943263, 0.01476240008282121, 0.014763142531926557, 0.014763831892815243, 0.014764463819134356, 0.014765034818139506, 0.014765541928997305, 0.014765982500629587, 0.014766354036973212, 0.014766654087958681, 0.014766880171356966, 0.014767029715202386, 0.014767100013585511, 0.01476708819075334, 0.014766991170011415, 0.014766805645158712, 0.014766528053325118, 0.014766154549358592, 0.014765680983628496, 0.014765102887732336, 0.01476441547687442, 0.014763613684947337, 0.014762692260971752, 0.014761645977949005, 0.014760470045758877, 0.014759160894993541, 0.014757717642033662, 0.014756144827768334, 0.014754457598217646, 0.014752691723293666, 0.014750923607377509, 0.014749312031713556, 0.014748190322663736, 0.014748285502926662, 0.014751292850486167, 0.014761595886465789, 0.014792487209889875, 0.014896337297577415, 0.015414657753762799, 0.026548796510478569, 0.019158346176590263, 0.015715794971866218, 0.015220036563636598, 0.015050534162465655, 0.014969711245477826, 0.014923635328685094, 0.014894266234797416, 0.014874065775403386, 0.014859388084279199, 0.014848276772291386, 0.014839597209865028, 0.014832650477125389, 0.014826984854458944, 0.014822296733572523, 0.014818375317137132, 0.014815070183763891, 0.014812271449276533, 0.014809897189119375, 0.014807885212684231, 0.014806187535697353, 0.014804766575730393, 0.014803592477497053, 0.014802641196482743, 0.014801893102420945, 0.014801331945987572, 0.014800944083714658, 0.014800717889412557, 0.014800643302283483, 0.014800711476574737, 0.014800914507609099, 0.014801245215939788, 0.014801696976226332, 0.014802263580875663, 0.014802939130975593, 0.014803717948856036, 0.014804594507945091, 0.014805563376578339, 0.014806619173163692, 0.014807756530668958, 0.014808970068830477, 0.014810254372813908, 0.014811603977316271, 0.014813013355299812, 0.014814476910706555, 0.014815988974626944, 0.014817543804494564, 0.014819135585956635, 0.014820758437131633, 0.01482240641501306, 0.014824073523816334, 0.014825753725094131, 0.014827440949466921, 0.014829129109830988, 0.014830812115916617, 0.014832483890075169, 0.014834138384176946, 0.014835769597501509, 0.014837371595499905, 0.014838938529304303, 0.014840464655855343, 0.014841944358510981, 0.014843372167994506, 0.014844742783532676, 0.014846051094028354, 0.014847292199106901, 0.014848461429870846, 0.014849554369194088, 0.014850566871385751, 0.014851495081053222, 0.014852335450997109, 0.014853084758974644, 0.014853740123174836, 0.014854299016257866, 0.014854759277821693, 0.014855119125173063, 0.014855377162294296, 0.014855532386915005, 0.014855584195616384, 0.014855549653534689, 0.014855446126293253, 0.014855273910593809, 0.01485503349991061, 0.014854725582954743, 0.014854351041538521, 0.014853910947854064, 0.014853406561184095, 0.014852839324066471, 0.014852210857937047, 0.014851522958278972, 0.014850777589308958, 0.014849976878233358, 0.014849123109109255, 0.014848218716347035, 0.014847266277892752, 0.014846268508128506, 0.014845228250530777, 0.014844148470125546, 0.014843032245779451, 0.014841882762365258, 0.014840703302838687, 0.014839497240262629, 0.014838268029812422, 0.014837019200794018, 0.014835754348704811, 0.014834477127363353, 0.014833191241132082, 0.014831900437253343, 0.014830608498316118, 0.014829319234866748, 0.014828036478173646, 0.014826764073151527, 0.01482550587144724, 0.01482426572468443, 0.01482304747786024, 0.014821854962882967, 0.014820691992234651, 0.014819562352738194, 0.014818469799403966, 0.014817418049325723, 0.014816410775591281, 0.014815451601168032, 0.01481454409271879, 0.014813691754298516, 0.014812898020877381, 0.014812166251631131, 0.014811499722934926, 0.014810901620992542, 0.014810375034028798, 0.014809922943969437, 0.014809548217530095, 0.014809253596633576, 0.014809041688074212, 0.014808914952348139, 0.014808875691570911, 0.014808926036408071, 0.014809067931951166, 0.014809303122482072, 0.0148096331350817, 0.014810059262057411, 0.014810582542185995, 0.014811203740797283, 0.014811923328757567, 0.01481274146045272, 0.014813657950918642, 0.014814672252321043, 0.014815783430048831, 0.014816990138753386, 0.014818290598740781, 0.014819682573202347, 0.014821163346850783, 0.014822729706609869, 0.014824377925083763, 0.014826103747601809, 0.014827902383692103, 0.014829768503876547, 0.014831696242695477, 0.014833679208855323, 0.014835710503342059, 0.014837782746251945, 0.014839888112954416, 0.0148420183800183, 0.014844164981102605, 0.01484631907273846, 0.014848471609617714, 0.01485061342866404, 0.014852735340808585, 0.014854828229039082, 0.014856883150958034, 0.014858891443789797, 0.014860844829539123, 0.014862735517840443, 0.014864556303963664, 0.014866300659467636, 0.014867962813121317, 0.014869537819942691, 0.014871021616529697, 0.014872411061259016, 0.01487370395839094, 0.014874899065616202, 0.014875996085089604, 0.01487699563848985, 0.014877899227100968, 0.014878709178308528, 0.014879428580226121, 0.014880061206405292, 0.014880611432728952, 0.014881084148645467, 0.014881484664873859, 0.014881818619608684, 0.014882091885089686, 0.014882310476190324, 0.014882480462435533, 0.014882607884598418, 0.014882698676760724, 0.014882758594465709, 0.014882793149353722, 0.01488280755045838, 0.014882806652159838, 0.014882794908644392, 0.01488277633460749, 0.014882754471860852, 0.014882732361459748, 0.014882712520954321, 0.014882696926382204, 0.014882686998657305, 0.0148826835940665], [0.015069090144874136, 0.015069044442674833, 0.015068907444157778, 0.015068679473189342, 0.015068361068296166, 0.015067952980800549, 0.015067456172233217, 0.015066871811045563, 0.015066201268650306, 0.015065446114825156, 0.015064608112518899, 0.015063689212105092, 0.015062691545132751, 0.015061617417627564, 0.015060469303000716, 0.015059249834626112, 0.015057961798148674, 0.01505660812358919, 0.015055191877312787, 0.015053716253929227, 0.015052184568194613, 0.015050600246983922, 0.015048966821405265, 0.015047287919125577, 0.015045567256978375, 0.015043808633923704, 0.015042015924430129, 0.015040193072349026, 0.01503834408535122, 0.01503647302999645, 0.015034584027507422, 0.015032681250320619, 0.015030768919488674, 0.015028851303011136, 0.015026932715173916, 0.015025017516981286, 0.015023110117770194, 0.015021214978101636, 0.015019336614031448, 0.015017479602870915, 0.015015648590556341, 0.015013848300757207, 0.015012083545863183, 0.015010359240001611, 0.015008680414248908, 0.015007052234209839, 0.015005480020148686, 0.015003969269862874, 0.015002525684492044, 0.015001155197451106, 0.014999864006660981, 0.014998658610221092, 0.01499754584561804, 0.014996532932486534, 0.014995627518822323, 0.014994837730379722, 0.01499417222275181, 0.014993640235309599, 0.014993251645742642, 0.014993017023368469, 0.014992947678627268, 0.014993055705215334, 0.014993354010096039, 0.014993856325128204, 0.014994577192244883, 0.014995531912005153, 0.014996736442973453, 0.014998207236872885, 0.014999960992032855, 0.015002014305673288, 0.015004383204594124, 0.015007082534644021, 0.01501012519293185, 0.015013521194299445, 0.015017276576315793, 0.015021392165967651, 0.015025862256642358, 0.015030673275038276, 0.015035802551585743, 0.015041217339818631, 0.015046874252600867, 0.01505271928734065, 0.015058688589718384, 0.015064710050377709, 0.015070705741897613, 0.015076595092980788, 0.015082298580612658, 0.01508774162230637, 0.015092858292992532, 0.015097594491332432, 0.015101910242216202, 0.015105780935078163, 0.015109197438391906, 0.015112165170783362, 0.015114702322691546, 0.015116837492533996, 0.015118607022924571, 0.01512005230150182, 0.015121217240222687, 0.015122146081750026, 0.015122881615396318, 0.015123463827649231, 0.015123928968739354, 0.015124308988235871, 0.015124631277788186, 0.015124918654958427, 0.015125189525311063, 0.015125458167527986, 0.015125735095904175, 0.015126027464460991, 0.015126339486039447, 0.015126672847557809, 0.015127027108945541, 0.015127400078136587, 0.015127788158079331, 0.015128186664214831, 0.015128590112513001, 0.015128992479146021, 0.015129387433396979, 0.015129768545595322, 0.015130129471851507, 0.015130464117217425, 0.015130766778686678, 0.015131032269213678, 0.015131256023698768, 0.015131434187675596, 0.015131563689254513, 0.015131642294723829, 0.015131668648088048, 0.015131677989911062, 0.015131706099659628, 0.015131753230603799, 0.015131819806305992, 0.015131906422816015, 0.015132013851797712, 0.015132143044642304, 0.015132295137641215, 0.015132471458310795, 0.015132673532982682, 0.015132903095797998, 0.015133162099270925, 0.015133452726618739, 0.015133777406092055, 0.01513413882758094, 0.015134539961823139, 0.015134984082598373, 0.015135474792363185, 0.015136016051863084, 0.01513661221435874, 0.015137268065222538, 0.015137988867806911, 0.015138780416662568, 0.015139649099400222, 0.015140601968754639, 0.015141646826737177, 0.015142792323168959, 0.01514404807139403, 0.015145424784607175, 0.015146934437033913, 0.015148590455217758, 0.015150407945970753, 0.015152403969214518, 0.015154597866102369, 0.015157011655633826, 0.015159670516677161, 0.015162603377222122, 0.0151658436392376, 0.015169430076341342, 0.015173407953508241, 0.015177830434572178, 0.015182760366254973, 0.015188272559783351, 0.015194456737215457, 0.015201421376128652, 0.015209298783847178, 0.015218251877658502, 0.015228483367645896, 0.015240248378872716, 0.015253872086042411, 0.015269774799276279, 0.015288508372019709, 0.015310810240174048, 0.015337685684197263, 0.01537053670026305, 0.015411370635469631, 0.01546315104994732, 0.015530414628171256, 0.015620414763203716, 0.015745381187953315, 0.015927350432304685, 0.016209573630579049, 0.016687212296805785, 0.017606119442570612, 0.019775827576074476, 0.027180444429146015, 0.07056880529810769, 0.041014258983175456, 0.020808508074988772, 0.017180669296726448, 0.016049219110152384, 0.015576062119233035, 0.015341589332923729, 0.015212004039154046, 0.015134795391451083, 0.015086229550418148, 0.01505442457530372, 0.015032952995029068, 0.01501812048859982, 0.015007697626812838, 0.015000284172666222, 0.014994970926767532, 0.014991150723510776, 0.01498840827795119, 0.014986453645278675, 0.01498508075870836, 0.014984140883807987, 0.014983525212003352, 0.014983153202351347, 0.014982964624212997, 0.0149829140330401, 0.01498296687620939, 0.014983096709675498, 0.014983283183429412, 0.014983510566628146, 0.014983766656486383, 0.014984041963323664, 0.014984329096518614, 0.014984622298107797, 0.014984917085904307, 0.014985209978560347, 0.01498549828243474, 0.014985779925423878, 0.014986053326725778, 0.014986317294275651, 0.014986570943617734, 0.014986813633476481, 0.014987044914403856, 0.014987264487715091, 0.014987472172555484, 0.014987667879419988, 0.014987851588812905, 0.014988023334016784, 0.01498818318715695, 0.014988331247916797, 0.014988467634391527, 0.014988592475671038, 0.014988705905824719, 0.014988808059025534, 0.014988899065602182, 0.014988979048849707, 0.014989048122461622, 0.014989106388474045, 0.014989153935634002, 0.01498919083812196, 0.014989217154574172, 0.014989232927362716, 0.01498923818210232, 0.014989232927362716, 0.014989217154574174, 0.014989190838121957, 0.014989153935634004, 0.014989106388474054, 0.014989048122461627, 0.014988979048849717, 0.014988899065602183, 0.014988808059025527, 0.014988705905824719, 0.014988592475671038, 0.014988467634391536, 0.014988331247916801, 0.014988183187156948, 0.014988023334016783, 0.014987851588812898, 0.014987667879419991, 0.014987472172555492, 0.014987264487715082, 0.014987044914403853, 0.014986813633476485, 0.014986570943617741, 0.014986317294275653, 0.014986053326725776, 0.014985779925423871, 0.014985498282434749, 0.014985209978560343, 0.014984917085904301, 0.014984622298107805, 0.01498432909651861, 0.014984041963323666, 0.014983766656486382, 0.014983510566628144, 0.014983283183429405, 0.014983096709675509, 0.014982966876209395, 0.014982914033040102, 0.014982964624213, 0.014983153202351347, 0.014983525212003348, 0.014984140883807992, 0.014985080758708365, 0.014986453645278673, 0.01498840827795119, 0.014991150723510779, 0.014994970926767536, 0.015000284172666221, 0.015007697626812831, 0.015018120488599827, 0.015032952995029051, 0.01505442457530369, 0.015086229550418108, 0.015134795391451092, 0.015212004039154025, 0.015341589332923703, 0.015576062119233238, 0.016049219110152606, 0.017180669296725615, 0.020808508074986888, 0.041014258983130464, 0.070568805298174775, 0.027180444429142425, 0.019775827576075961, 0.017606119442570411, 0.016687212296805712, 0.016209573630579021, 0.015927350432304799, 0.015745381187953333, 0.015620414763203794, 0.015530414628171219, 0.015463151049947327, 0.015411370635469625, 0.015370536700263053, 0.015337685684197248, 0.01531081024017405, 0.015288508372019718, 0.015269774799276298, 0.01525387208604243, 0.015240248378872718, 0.015228483367645906, 0.015218251877658495, 0.015209298783847183, 0.015201421376128657, 0.015194456737215459, 0.015188272559783351, 0.015182760366254974, 0.015177830434572177, 0.015173407953508243, 0.015169430076341349, 0.015165843639237604, 0.015162603377222118, 0.015159670516677163, 0.015157011655633826, 0.015154597866102369, 0.015152403969214516, 0.015150407945970753, 0.015148590455217759, 0.015146934437033915, 0.015145424784607184, 0.015144048071394028, 0.015142792323168961, 0.015141646826737175, 0.015140601968754643, 0.015139649099400221, 0.015138780416662565, 0.015137988867806915, 0.015137268065222533, 0.01513661221435874, 0.01513601605186308, 0.015135474792363178, 0.015134984082598373, 0.015134539961823137, 0.01513413882758094, 0.01513377740609205, 0.015133452726618746, 0.01513316209927092, 0.015132903095797999, 0.01513267353298268, 0.015132471458310794, 0.015132295137641217, 0.015132143044642301, 0.01513201385179771, 0.015131906422816017, 0.015131819806305994, 0.015131753230603794, 0.015131706099659628, 0.015131677989911057, 0.015131668648088053, 0.015131673317552, 0.015131687350690565, 0.015131710821791891, 0.015131743854829714, 0.015131786623705259, 0.015131839352589004, 0.015131902316365738, 0.015131975841186801, 0.015132060305135024, 0.015132156139008535, 0.01513226382723076, 0.015132383908895397, 0.015132516978956113, 0.015132663689572426, 0.01513282475162438, 0.015133000936410656, 0.015133193077546245, 0.01513340207307799, 0.015133628887838303, 0.015133874556060092, 0.015134140184278085, 0.015134426954545435, 0.015134736127997124, 0.015135069048795923, 0.015135427148500719, 0.015135811950901565, 0.015136225077371617, 0.015136668252791577, 0.015137143312109774, 0.015137652207608267, 0.015138197016954786, 0.015138779952129998, 0.015139403369331767, 0.015140069779971231, 0.015140781862890753, 0.015141542477952212, 0.015142354681164021, 0.015143221741539538, 0.015144147159907135, 0.015145134689924501, 0.015146188361587475, 0.015147312507567789, 0.015148511792766205, 0.015149791247528122, 0.015151156305041321, 0.015152612843520296, 0.015154167233883393, 0.015155826393749496, 0.015157597848725257, 0.015159489802127106, 0.015161511214490535, 0.015163671894470647, 0.015165982603043415, 0.015168455173288329, 0.01517110264848715, 0.015173939441831437, 0.015176981521718393, 0.015180246627467068, 0.015183754521346911, 0.015187527284138488, 0.015191589663115845, 0.015195969483453076, 0.015200698136747301, 0.015205811163794394, 0.015211348953194271, 0.015217357583126126, 0.015223889841169538, 0.015231006466976291, 0.015238777675786304, 0.015247285038450581, 0.015256623817516326, 0.015266905891548927, 0.015278263444868496, 0.015290853662654834, 0.015304864759992647, 0.01532052380012894, 0.015338106940866406, 0.015357953018190989, 0.015380481780118737, 0.015406218698131951, 0.015435829236091601, 0.015470166964284273, 0.015510342348167878, 0.015557823097335971, 0.015614583888788711, 0.015683335491276779, 0.015767885617067656, 0.015873726206067744, 0.016009026151499843, 0.016186385275133549, 0.016426099718423102, 0.016762635176855566, 0.017258483336032499, 0.018036808191697805, 0.019368415621286363, 0.021944022465760629, 0.027928773334483147, 0.046045456434024863, 0.094939160582478005, 0.058589868191290091, 0.02944945779483904, 0.021317219887075856, 0.018345757084105806, 0.016992545799712867, 0.016280173429271089, 0.015866020097979452, 0.015607416333576455, 0.01543706367389045, 0.015320104017029278, 0.015237124417950117, 0.015176670784388752, 0.015131659440668485, 0.015097535212019512, 0.015071270974356709, 0.015050797814394499, 0.015034667054837792, 0.015021842684403984, 0.015011569945202769, 0.01500328988495468, 0.014996582467960677, 0.014991127893199927, 0.014986679790501613, 0.014983046327976512, 0.014980076688252773, 0.014977651250641653, 0.014975674371411739, 0.014974069011594428, 0.014972772695863534, 0.01497027206152148, 0.014969177885959833, 0.014968932097362976, 0.01496920194068245, 0.014969782966435332, 0.014970546453897181, 0.014971409716090034, 0.014972318734439509, 0.014973237698874969, 0.014974142546147685, 0.014975016880748284, 0.014975849351727088, 0.01497663193886355, 0.014977358817776249, 0.014978025599783167, 0.014978628817802646, 0.014979165575697839, 0.014979633307183125, 0.014980029608604893, 0.014980352121618136, 0.014980598449426563, 0.014980766095319223, 0.014980852415648649, 0.014980854581750918, 0.01498076954700768, 0.014980594016587166, 0.014980324418620421, 0.014979956876926317, 0.014979487187220589, 0.014978910801524328, 0.014978222830043984, 0.01497741807755764, 0.014976491144899379, 0.01497543665030511, 0.01497424966940767, 0.014972926574787011, 0.014971466613461154, 0.014969874872644102, 0.014968167925939281, 0.014966384833264602, 0.014964609301887382, 0.014963016395283123, 0.01496197698026256, 0.014962310051698199, 0.014965958074238768, 0.014978066425673647, 0.015014820624672281, 0.015144121519961674, 0.01587461215641112, 0.04424380489632506, 0.017957027665001461, 0.015787412494150138, 0.015391811697583854, 0.0152458624842355, 0.015173572421863317, 0.015131405491313345, 0.015104112610448779, 0.015085133009664395, 0.015071228458154283, 0.015060635094834835, 0.015052318120819325, 0.015045634287344211, 0.015040164784491687, 0.015035626410890292, 0.015031821538233379, 0.015028608535338236, 0.015025883557844729, 0.015023568936718058, 0.015021605546323997, 0.015019947653165281, 0.015018559356529465, 0.01501741207737005, 0.015016482753492023, 0.015015752520603708, 0.015015205733919592, 0.015014829232569296, 0.015014611779849307, 0.015014543632666183, 0.015014616207167009, 0.015014821816874671, 0.015015153466110166, 0.01501560468603157, 0.015016169403860328, 0.015016841838203995, 0.015017616415091242, 0.015018487700594104, 0.015019450346851556, 0.015020499049014199, 0.015021628511166953, 0.015022833419696912, 0.015024108422890769, 0.01502544811579256, 0.015026847029545, 0.015028299624589231, 0.015029800287217081, 0.015031343329064452, 0.015032922989209097, 0.015034533438595, 0.015036168786551635, 0.015037823089212471, 0.015039490359664474, 0.015041164579680601, 0.015042839712902186, 0.015044509719347919, 0.015046168571131415, 0.015047810269272582, 0.015049428861486856, 0.015051018460834547, 0.015052573265107791, 0.015054087576827547, 0.015055555823716465, 0.01505697257950687, 0.015058332584936669, 0.015059630768779057, 0.0150608622687468, 0.01506202245210699, 0.015063106935838948, 0.015064111606166566, 0.015065032637295767, 0.015065866509191094, 0.015066610024228724, 0.015067260322570325, 0.015067814896111035, 0.015068271600865286, 0.015068628667668265, 0.015068884711085103, 0.015069038736437248, 0.015069090144874136, 0.015069055869658808, 0.015068953142280038, 0.015068782257232441, 0.015068543704319292, 0.015068238167127986, 0.015067866520910068, 0.015067429829879759, 0.015066929343948906, 0.015066366494919773, 0.015065742892160106, 0.015065060317788488, 0.015064320721400163, 0.01506352621436622, 0.015062679063740864, 0.015061781685813225, 0.015060836639341615, 0.015059846618508302, 0.015058814445634412, 0.015057743063693525, 0.015056635528662947, 0.015055495001750567, 0.015054324741534158, 0.015053128096048699, 0.015051908494855153, 0.015050669441122277, 0.015049414503750691, 0.015048147309565387, 0.015046871535600175, 0.015045590901494347, 0.015044309162018273, 0.015043030099741195, 0.015041757517850725, 0.015040495233129211, 0.015039247069088806, 0.015038016849262136, 0.015036808390641332, 0.015035625497254162, 0.015034471953860802, 0.015033351519750592, 0.015032267922613422, 0.015031224852455279, 0.015030225955523108, 0.015029274828198949, 0.015028375010818518, 0.015027529981364716, 0.015026743148981439, 0.015026017847248685, 0.0150253573271552, 0.015024764749700836, 0.015024243178056902, 0.015023795569209276, 0.015023424765006798, 0.015023133482535218, 0.01502292430373693, 0.015022799664197006, 0.015022761841019349, 0.015022812939720969, 0.015022954880080364, 0.015023189380886485, 0.015023517943548774, 0.015023941834547642, 0.015024462066728127, 0.015025079379467891, 0.015025794217785944, 0.015026606710499338, 0.015027516647583412, 0.01502852345694553, 0.015029626180884579, 0.015030823452575864, 0.015032113472995011, 0.015033493988771218, 0.015034962271539956, 0.01503651509944324, 0.015038148741499884, 0.015039858945633644, 0.015041640931199453, 0.015043489386881388, 0.015045398474845173, 0.015047361842006507, 0.015049372639219278, 0.015051423549090278, 0.015053506822984772, 0.015055614327600251, 0.015057737601253389, 0.015059867919751561, 0.015061996371412957, 0.015064113940466405, 0.015066211597719061, 0.01506828039704093, 0.015070311575898335, 0.015072296657892744, 0.015074227555044041, 0.015076096667415557, 0.015077896977624457, 0.015079622137823925, 0.015081266546886411, 0.01508282541575637, 0.015084294819268335, 0.015085671733125422, 0.015086954055186745, 0.01508814061069604, 0.015089231141573387, 0.015090226280364069, 0.015091127509870026, 0.015091937109861512, 0.015092658092564859, 0.015093294128837108, 0.015093849467066867, 0.015094328846882499, 0.015094737409712096, 0.015095080608132048, 0.015095364115776616, 0.015095593739372585, 0.015095775334225802, 0.015095914724234598, 0.015096017627250796, 0.015096089586364554, 0.015096135907462791, 0.015096161603210175, 0.015096171343430661, 0.015096169411729681, 0.015096159668092777, 0.015096145517125899, 0.015096129881562422, 0.015096115180652327, 0.015096103313063425, 0.015096095643961761, 0.015096092995993789], [0.015166423233070596, 0.015166377989443397, 0.015166242365513736, 0.015166016681764564, 0.01516570147109444, 0.015165297476969377, 0.015164805650858468, 0.01516422714897522, 0.015163563328353554, 0.015162815742292656, 0.015161986135209931, 0.01516107643694704, 0.015160088756577999, 0.015159025375772571, 0.015157888741771774, 0.015156681460035676, 0.015155406286626099, 0.015154066120388885, 0.015152663995002622, 0.015151203070961503, 0.015149686627561294, 0.015148118054957502, 0.01514650084636596, 0.01514483859047509, 0.015143134964139857, 0.015141393725426982, 0.015139618707080593, 0.015137813810478001, 0.015135983000144836, 0.015134130298899394, 0.015132259783696997, 0.015130375582245727, 0.015128481870467364, 0.015126582870879051, 0.015124682851974805, 0.015122786128689268, 0.01512089706403149, 0.015119020071981707, 0.015117159621750835, 0.015115320243510101, 0.015113506535706799, 0.015111723174091202, 0.015109974922590185, 0.015108266646173053, 0.015106603325865664, 0.015104990076078214, 0.01510343216442004, 0.015101935034179462, 0.015100504329646507, 0.015099145924448963, 0.015097865953054013, 0.015096670845554203, 0.015095567365802288, 0.015094562652876491, 0.015093664265736067, 0.015092880230754687, 0.015092219091579741, 0.015091689960440071, 0.015091302569588736, 0.015091067320994486, 0.015090995331652068, 0.01509109847093517, 0.01509138938523118, 0.015091881503646161, 0.015092589016836156, 0.015093526819018623, 0.015094710401001082, 0.015096155679759481, 0.015097878747934453, 0.015099895524956252, 0.015102221290903679, 0.015104870085392555, 0.015107853957723294, 0.015111182062279467, 0.015114859605845887, 0.01511888667191718, 0.015123256971339266, 0.015127956597719977, 0.015132962897196265, 0.015138243590503123, 0.015143756303990747, 0.01514944866721662, 0.015155259110447626, 0.01516111844131479, 0.015166952197182875, 0.015172683667396703, 0.015178237373920454, 0.015183542711311207, 0.015188537398359044, 0.015193170398297651, 0.015197404024777487, 0.015201215056086357, 0.015204594809151518, 0.015207548251962841, 0.015210092335207172, 0.015212253786370127, 0.015214066628258501, 0.015215569664309446, 0.015216804126805738, 0.015217811624829661, 0.015218632468621294, 0.01521930439463446, 0.01521986167565571, 0.015220334574022581, 0.015220749081973189, 0.01522112688890981, 0.015221485517917225, 0.015221838580530464, 0.01522219610731825, 0.015222564920788349, 0.015222949025447872, 0.015223349997044047, 0.015223767358871517, 0.015224198937577314, 0.015224641194257538, 0.015225089529008685, 0.015225538558672393, 0.015225982368482145, 0.015226414738847407, 0.015226829348728895, 0.015227219957073303, 0.015227580563667079, 0.015227905550594219, 0.015228189805283884, 0.01522842882593517, 0.015228618809925532, 0.01522875672565357, 0.015228840368138541, 0.015228868398597223, 0.015228877052708388, 0.015228903096205745, 0.015228946772975833, 0.015229008490819509, 0.015229088823461129, 0.01522918851341061, 0.015229308475728608, 0.015229449802761599, 0.015229613769931295, 0.015229801842682345, 0.015230015684714533, 0.015230257167650491, 0.015230528382318441, 0.015230831651862621, 0.01523116954693191, 0.015231544903242378, 0.015231960841861486, 0.015232420792624449, 0.015232928521166795, 0.015233488160145822, 0.015234104245330022, 0.015234781757363314, 0.01523552617016723, 0.015236343507133317, 0.01523724040649067, 0.015238224197519603, 0.015239302989636404, 0.015240485776814415, 0.015241782560357242, 0.015243204493732425, 0.015244764054048987, 0.015246475245876643, 0.015248353844530669, 0.01525041768778451, 0.0152526870273587, 0.015255184954654057, 0.015257937919308616, 0.015260976364619993, 0.015264335511196801, 0.015268056330108267, 0.015272186760336658, 0.015276783244029155, 0.015281912679153097, 0.015287654926069965, 0.015294106057415354, 0.015301382617482212, 0.015309627270604921, 0.015319016387951901, 0.015329770381571028, 0.015342167998531548, 0.015356566430854623, 0.015373430144467584, 0.015393373083057656, 0.015417221922558405, 0.015446113429896486, 0.015481648920886125, 0.015526147987565743, 0.015583082508970647, 0.015657855265432206, 0.015759278594010148, 0.015902583940590777, 0.016116099205967131, 0.016457796385901106, 0.017062809070576078, 0.018311247098812607, 0.021638290771200702, 0.035949649317970948, 0.08290709322379157, 0.027948952404478825, 0.018793328797052453, 0.016661076580469267, 0.015896670612734965, 0.01555119121346106, 0.015371504314830144, 0.015268928825091645, 0.015206412827283623, 0.015166446901237952, 0.015139968838866695, 0.015121948799546007, 0.015109436172693723, 0.015100620675376328, 0.015094349777305626, 0.015089866621768373, 0.015086660971095945, 0.015084381041283946, 0.015082779561874479, 0.015081679792398, 0.015080953553942587, 0.015080506701355856, 0.015080269319831649, 0.015080188988890119, 0.015080226078212574, 0.015080350413933409, 0.015080538884556186, 0.015080773700781071, 0.015081041116649003, 0.015081330480219295, 0.015081633522358957, 0.015081943819411919, 0.015082256384087877, 0.015082567351757059, 0.015082873738330725, 0.015083173252272247, 0.015083464147835115, 0.015083745109911206, 0.015084015163266297, 0.015084273600699593, 0.0150845199259666, 0.015084753808276893, 0.015084975045908951, 0.015085183537036704, 0.015085379256283274, 0.015085562235839314, 0.015085732550231891, 0.01508589030402142, 0.015086035621854205, 0.015086168640414895, 0.015086289501915092, 0.01508639834882728, 0.015086495319630515, 0.015086580545380828, 0.015086654146955652, 0.01508671623285212, 0.015086766897442733, 0.015086806219612107, 0.015086834261715205, 0.015086851068811118, 0.015086856668138733, 0.015086851068811124, 0.015086834261715209, 0.015086806219612102, 0.015086766897442731, 0.015086716232852125, 0.015086654146955659, 0.015086580545380833, 0.01508649531963052, 0.015086398348827275, 0.015086289501915092, 0.015086168640414895, 0.015086035621854215, 0.015085890304021419, 0.015085732550231892, 0.015085562235839312, 0.015085379256283265, 0.015085183537036712, 0.015084975045908949, 0.015084753808276889, 0.015084519925966596, 0.0150842736006996, 0.015084015163266302, 0.015083745109911211, 0.015083464147835115, 0.015083173252272243, 0.015082873738330728, 0.015082567351757054, 0.015082256384087873, 0.015081943819411922, 0.01508163352235895, 0.015081330480219301, 0.015081041116649006, 0.015080773700781071, 0.015080538884556179, 0.015080350413933416, 0.015080226078212576, 0.015080188988890117, 0.015080269319831648, 0.015080506701355858, 0.01508095355394258, 0.015081679792398007, 0.015082779561874487, 0.015084381041283937, 0.015086660971095947, 0.01508986662176838, 0.015094349777305626, 0.015100620675376325, 0.015109436172693717, 0.015121948799546012, 0.015139968838866664, 0.015166446901237913, 0.015206412827283571, 0.015268928825091661, 0.015371504314830109, 0.015551191213461013, 0.015896670612735288, 0.016661076580469676, 0.018793328797050948, 0.027948952404472045, 0.082907093223747397, 0.035949649317998593, 0.021638290771198981, 0.018311247098813412, 0.01706280907057596, 0.016457796385901089, 0.01611609920596711, 0.015902583940590867, 0.015759278594010162, 0.015657855265432275, 0.015583082508970624, 0.015526147987565748, 0.015481648920886116, 0.015446113429896491, 0.015417221922558396, 0.015393373083057662, 0.015373430144467595, 0.015356566430854639, 0.015342167998531556, 0.015329770381571031, 0.015319016387951908, 0.015309627270604914, 0.015301382617482217, 0.015294106057415354, 0.01528765492606997, 0.015281912679153098, 0.015276783244029155, 0.015272186760336658, 0.015268056330108266, 0.015264335511196804, 0.015260976364619993, 0.015257937919308618, 0.015255184954654055, 0.0152526870273587, 0.01525041768778451, 0.015248353844530667, 0.015246475245876643, 0.015244764054048987, 0.015243204493732428, 0.015241782560357246, 0.015240485776814415, 0.015239302989636409, 0.015238224197519605, 0.01523724040649067, 0.015236343507133314, 0.015235526170167234, 0.015234781757363314, 0.015234104245330017, 0.015233488160145824, 0.015232928521166787, 0.01523242079262445, 0.015231960841861483, 0.015231544903242376, 0.015231169546931907, 0.015230831651862613, 0.015230528382318443, 0.015230257167650489, 0.015230015684714535, 0.015229801842682345, 0.015229613769931297, 0.015229449802761603, 0.015229308475728605, 0.015229188513410612, 0.015229088823461133, 0.015229008490819505, 0.015228946772975835, 0.015228903096205745, 0.015228877052708388, 0.015228868398597231, 0.015228872724267246, 0.015228885725211978, 0.015228907473278789, 0.015228938088358153, 0.015228977738602325, 0.015229026640734484, 0.015229085060451298, 0.015229153312922631, 0.015229231763393337, 0.015229320827892913, 0.01522942097405966, 0.015229532722087448, 0.015229656645803953, 0.015229793373891028, 0.015229943591258515, 0.015230108040585126, 0.015230287524040893, 0.015230482905208099, 0.015230695111219085, 0.015230925135131905, 0.015231174038566764, 0.015231442954629427, 0.015231733091150232, 0.015232045734270984, 0.015232382252415732, 0.015232744100685544, 0.015233132825722289, 0.015233550071091582, 0.015233997583241442, 0.015234477218099826, 0.015234990948382224, 0.015235540871689402, 0.01523612921948563, 0.015236758367059603, 0.01523743084458334, 0.015238149349400553, 0.01523891675969315, 0.015239736149695843, 0.015240610806652385, 0.015241544249735355, 0.015242540251183507, 0.015243602859948812, 0.015244736428190062, 0.015245945641001698, 0.015247235549828406, 0.015248611610088506, 0.015250079723615058, 0.015251646286626041, 0.015253318244056537, 0.015255103151231417, 0.015257009244031805, 0.015259045518918584, 0.015261221824430656, 0.015263548966083057, 0.015266038826966028, 0.01526870450680415, 0.015271560482798435, 0.015274622796268938, 0.015277909269976738, 0.015281439762076665, 0.015285236463995173, 0.015289324251217351, 0.015293731098106873, 0.015298488570605773, 0.015303632414151461, 0.015309203258648586, 0.015315247468178268, 0.015321818170772619, 0.015328976513661077, 0.01533679320278946, 0.015345350403369585, 0.01535474410251118, 0.015365087068180124, 0.015376512584550278, 0.015389179207787557, 0.015403276876682472, 0.015419034841878867, 0.015436732065091831, 0.015456711016044858, 0.015479396208422974, 0.015505319446028586, 0.015535154728205422, 0.015569767313828788, 0.01561028395798382, 0.015658195520198686, 0.015715510306359131, 0.015784989161970207, 0.015870516503165344, 0.015977705633914607, 0.01611492485305252, 0.016295116472730155, 0.016539196864591751, 0.01688282950179848, 0.017391010993483929, 0.018192701302162644, 0.019574008696523152, 0.022273860680514776, 0.028649337793896997, 0.048339625066899844, 0.096817520299843973, 0.054945197327605055, 0.028511058281827484, 0.021054987996736444, 0.018281821266696249, 0.017004104053842315, 0.016326289538285011, 0.01593014704388335, 0.01568186595376134, 0.01551787304018995, 0.01540506031285384, 0.015324911207231494, 0.015266463580447037, 0.015222919429008422, 0.015189897447201556, 0.015164480619870043, 0.015144672175754726, 0.015129072116173521, 0.015116678132512766, 0.015106759336427994, 0.015098774025153453, 0.015092314855167561, 0.015087071516957585, 0.015082804843132564, 0.015079328541029047, 0.015076496105250184, 0.015074191309320886, 0.015072321208794079, 0.015070810931707672, 0.015067885405750736, 0.015066572623127808, 0.015066223426833119, 0.015066455516544895, 0.015067036482691963, 0.015067821365880035, 0.015068717841454244, 0.015069666084242324, 0.015070626756908762, 0.015071573652594483, 0.015072489085432803, 0.015073360946303325, 0.015074180790963329, 0.015074942581032841, 0.015075641844994245, 0.01507627511341412, 0.015076839535401997, 0.015077332615994322, 0.015077752034731804, 0.01507809551887021, 0.015078360753222114, 0.015078545314268294, 0.015078646619958093, 0.015078661889214123, 0.015078588107017557, 0.015078421992401649, 0.015078159967992621, 0.015077798131185871, 0.015077332228984015, 0.015076757641484461, 0.015076069383871467, 0.015075262145092137, 0.015074330395997019, 0.015073268625884434, 0.015072071814274937, 0.015070736334573504, 0.015069261659627535, 0.015067653584985279, 0.015065930402850928, 0.015064135017197148, 0.015062359562705106, 0.01506079783938191, 0.015059864089146394, 0.015060484685272647, 0.015064895847763861, 0.015079174075547744, 0.015123204916083292, 0.015286457401034351, 0.016360595127027557, 0.065980992991409179, 0.017241632566903059, 0.015775203047770556, 0.015453873289052565, 0.015327208368574425, 0.015262268505327279, 0.015223576311344014, 0.015198169488349015, 0.015180316909689778, 0.015167135053121254, 0.015157030728138151, 0.015149058925769236, 0.01514262705854171, 0.015137346556161009, 0.01513295312242033, 0.01512926141476691, 0.015126138052782713, 0.015123484891728111, 0.015121228297562054, 0.015119312063251919, 0.015117692606945283, 0.015116335641367148, 0.015115213816047444, 0.0151143050175181, 0.015113591123671217, 0.015113057077434067, 0.015112690188757766, 0.015112479602385435, 0.01511241588771259, 0.015112490719752911, 0.015112696628921465, 0.015113026803395458, 0.015113474932077181, 0.0151140350792296, 0.01511470158405764, 0.015115468980118557, 0.015116331930635258, 0.015117285176675804, 0.015118323495831764, 0.015119441669538521, 0.015120634457570998, 0.015121896578550596, 0.015123222695534334, 0.015124607405941019, 0.015126045235214448, 0.015127530633737644, 0.015129057976602942, 0.015130621565914146, 0.015132215635353779, 0.015133834356792296, 0.015135471848751164, 0.01513712218655741, 0.015138779414047149, 0.015140437556689245, 0.015142090636009808, 0.015143732685202943, 0.015145357765815992, 0.015146959985396301, 0.015148533515984023, 0.015150072613331176, 0.015151571636721501, 0.015153025069258978, 0.015154427538486615, 0.015155773837189997, 0.015157058944233618, 0.015158278045272512, 0.01515942655317701, 0.015160500128004933, 0.01516149469635431, 0.015162406469928901, 0.015163231963152042, 0.015163968009667616, 0.015164611777573994, 0.015165160783245306, 0.015165612903605101, 0.015165966386731115, 0.015166219860684102, 0.015166372340470909, 0.015166423233070596, 0.015166389301776396, 0.015166287605219049, 0.0151661184350703, 0.015165882276438829, 0.015165579806360874, 0.01516521189170145, 0.015164779586479799, 0.015164284128637058, 0.01516372693626711, 0.015163109603335171, 0.015162433894911516, 0.015161701741950532, 0.015160915235647564, 0.015160076621407972, 0.015159188292464557, 0.01515825278318083, 0.015157272762077918, 0.015156251024624232, 0.015155190485826144, 0.015154094172658221, 0.015152965216370494, 0.015151806844709239, 0.015150622374086421, 0.015149415201730809, 0.015148188797851909, 0.015146946697845623, 0.015145692494567188, 0.015144429830694847, 0.01514316239120367, 0.015141893895966351, 0.01514062809249348, 0.015139368748822511, 0.015138119646560491, 0.015136884574081627, 0.015135667319876502, 0.015134471666045392, 0.015133301381923907, 0.015132160217824434, 0.015131051898872261, 0.015129980118910921, 0.015128948534445893, 0.015127960758591838, 0.015127020354982906, 0.015126130831601451, 0.015125295634475393, 0.015124518141189782, 0.01512380165415355, 0.015123149393558102, 0.015122564489960161, 0.015122049976417761, 0.015121608780104986, 0.015121243713328765, 0.015120957463869504, 0.015120752584567115, 0.015120631482075177, 0.015120596404709115, 0.015120649429319498, 0.015120792447129595, 0.015121027148487573, 0.015121355006498425, 0.015121777259519917, 0.015122294892531059, 0.015122908617410528, 0.015123618852198135, 0.015124425699453947, 0.015125328923877787, 0.015126327929406899, 0.015127421736070908, 0.015128608956950576, 0.015129887775659176, 0.015131255924840895, 0.015132710666257741, 0.015134248773111796, 0.015135866515320107, 0.015137559648520571, 0.015139323407634454, 0.015141152505838777, 0.015143041139804816, 0.015144983002031185, 0.015146971301036451, 0.015148998790073111, 0.015151057804878045, 0.01515314031078417, 0.015155237959284846, 0.015157342153870455, 0.015159444124653542, 0.015161535010973849, 0.015163605950842528, 0.01516564817575961, 0.015167653109139133, 0.015169612466319066, 0.015171518353936096, 0.015173363366323338, 0.015175140676553865, 0.015176844119811871, 0.015178468266928211, 0.015180008486163681, 0.015181460991652759, 0.015182822877315826, 0.015184092135491975, 0.015185267660013241, 0.015186349233911975, 0.015187337502402963, 0.015188233932189366, 0.015189040758489749, 0.015189760921458397, 0.015190397993865632, 0.015190956102015587, 0.015191439841907729, 0.015191854192602368, 0.015192204428638532, 0.01519249603318773, 0.01519273461342196, 0.015192925819344021, 0.01519307526708469, 0.015193188467427836, 0.015193270760091082, 0.01519332725407461, 0.015193362774200895, 0.015193381813806918, 0.015193388493421587, 0.015193386525163707, 0.015193379182530914, 0.01519336927521386, 0.015193359128562615, 0.015193350567347452, 0.015193344903493262, 0.015193342927520658], [0.015181709718380544, 0.015181664980828354, 0.015181530873882845, 0.015181307714308168, 0.015180996028817593, 0.015180596552244269, 0.015180110225003193, 0.015179538189866221, 0.015178881788078658, 0.015178142554851568, 0.0151773222142687, 0.015176422673652623, 0.015175446017438761, 0.015174394500610122, 0.015173270541749127, 0.015172076715766231, 0.01517081574636747, 0.015169490498325115, 0.015168103969617815, 0.015166659283507205, 0.015165159680619614, 0.015163608511101202, 0.015162009226916205, 0.015160365374356961, 0.015158680586835045, 0.015156958578022461, 0.015155203135411377, 0.01515341811436135, 0.015151607432702609, 0.015149775065964377, 0.015147925043298177, 0.015146061444166661, 0.015144188395870523, 0.015142310071988156, 0.015140430691805647, 0.015138554520818097, 0.01513668587238824, 0.015134829110653419, 0.015132988654778051, 0.015131168984656338, 0.015129374648177676, 0.015127610270175795, 0.015125880563192284, 0.015124190340194178, 0.015122544529394606, 0.015120948191333484, 0.015119406538381456, 0.015117924956832876, 0.015116509031751312, 0.015115164574720636, 0.015113897654633494, 0.015112714631611858, 0.01511162219409589, 0.015110627399050204, 0.015109737715109848, 0.015108961068311862, 0.015108305889814141, 0.015107781164675066, 0.015107396480330635, 0.015107162072835498, 0.015107088868199985, 0.015107188515226265, 0.01510747340509291, 0.015107956671535078, 0.015108652163808696, 0.015109574382729926, 0.01511073836801057, 0.015112159522998927, 0.015113853361017317, 0.015115835156127631, 0.015118119480885499, 0.015120719615176633, 0.015123646814454014, 0.015126909433607961, 0.015130511915259404, 0.015134453669125083, 0.015138727892237884, 0.0151433204070396, 0.015148208622906568, 0.015153360751833969, 0.015158735424359764, 0.01516428185001226, 0.015169940641010508, 0.015175645365063726, 0.015181324814763256, 0.015186905886071392, 0.015192316862299503, 0.015197490822192591, 0.015202368849852748, 0.015206902732320039, 0.015211056889045406, 0.015214809375768095, 0.015218151923841154, 0.015221089091626578, 0.015223636696739602, 0.015225819753774947, 0.015227670158353189, 0.015229224340019777, 0.015230521064240396, 0.015231599509711971, 0.01523249769236356, 0.015233251259558682, 0.015233892641345292, 0.015234450521219292, 0.015234949575677696, 0.015235410427561968, 0.015235849760192237, 0.015236280545122653, 0.015236712344025219, 0.015237151653309376, 0.01523760226769352, 0.015238065645564651, 0.015238541264394587, 0.015239026958723216, 0.015239519236382306, 0.01524001357088149, 0.015240504669390408, 0.015240986716697956, 0.015241453596059851, 0.015241899088083816, 0.015242317048845112, 0.015242701568349811, 0.015243047110322401, 0.015243348634128373, 0.01524360169947463, 0.015243802554377617, 0.015243948206757977, 0.015244036479913917, 0.015244066052042399, 0.015244074046002731, 0.015244098106109116, 0.015244138467399047, 0.015244195522812453, 0.01524426982502999, 0.01524436208909179, 0.015244473195842712, 0.015244604196265162, 0.015244756316776836, 0.015244930965588472, 0.015245129740237029, 0.015245354436432075, 0.015245607058379308, 0.015245889830774821, 0.015246205212698129, 0.015246555913672537, 0.015246944912208103, 0.015247375477198857, 0.015247851192611298, 0.015248375985980552, 0.015248954161324577, 0.015249590437200502, 0.015250289990764849, 0.015251058508866275, 0.015251902247403731, 0.015252828100433586, 0.015253843680818464, 0.015254957414593961, 0.01525617865170713, 0.015257517796380158, 0.015258986461106766, 0.015260597649246612, 0.015262365972403271, 0.015264307910338398, 0.015266442123200412, 0.015268789828481942, 0.015271375258578647, 0.015274226219392849, 0.015277374776520924, 0.015280858103762058, 0.015284719539823285, 0.015289009914375816, 0.015293789225814314, 0.015299128782818543, 0.015305113964090509, 0.015311847811530896, 0.015319455761109234, 0.015328091947803714, 0.015337947720530296, 0.015349263310023516, 0.015362344074833617, 0.015377583525080212, 0.015395496598745301, 0.015416768823411062, 0.015442330763108414, 0.015473473956265993, 0.015512037342510698, 0.015560718323304112, 0.015623614679303942, 0.015707218194736396, 0.015822352101983475, 0.015988245248549759, 0.016241954126974899, 0.016663020752006097, 0.01744980774432784, 0.019220655836361792, 0.024749162722526773, 0.055523630448087009, 0.051631402728534198, 0.022251199299056394, 0.017600366080769005, 0.016264338608022125, 0.015730175150036295, 0.01547282532895305, 0.015333353050124156, 0.015251463722226124, 0.015200552636880056, 0.015167538407822131, 0.015145443752420711, 0.015130303784537117, 0.015119748356418078, 0.01511230079667884, 0.015107008956816246, 0.015103240905803545, 0.015100566811543162, 0.015098688087701444, 0.01509739351763951, 0.015096531318802585, 0.015095990916477512, 0.015095690792220935, 0.015095570224589978, 0.015095583577601225, 0.015095696289126142, 0.015095882013392608, 0.015096120559458984, 0.015096396386596928, 0.015096697494467435, 0.015097014596556314, 0.01509734049910688, 0.015097669630665278, 0.015097997683057252, 0.015098321335530582, 0.015098638041470595, 0.015098945862548896, 0.015099243339080165, 0.015099529388196593, 0.015099803223522954, 0.015100064291562142, 0.015100312221135618, 0.015100546783071647, 0.015100767857973549, 0.015100975410384689, 0.015101169468036704, 0.015101350105151424, 0.015101517428985127, 0.015101671568974587, 0.015101812667975861, 0.015101940875191113, 0.015102056340460329, 0.015102159209659292, 0.015102249620997051, 0.015102327702046791, 0.015102393567377711, 0.015102447316682076, 0.01510248903331367, 0.015102518783172423, 0.015102536613885048, 0.015102542554244775, 0.015102536613885048, 0.015102518783172427, 0.015102489033313666, 0.015102447316682078, 0.015102393567377718, 0.015102327702046793, 0.015102249620997057, 0.015102159209659294, 0.015102056340460322, 0.015101940875191115, 0.015101812667975858, 0.015101671568974594, 0.015101517428985129, 0.01510135010515142, 0.015101169468036706, 0.01510097541038468, 0.015100767857973556, 0.015100546783071649, 0.015100312221135608, 0.015100064291562141, 0.015099803223522959, 0.015099529388196599, 0.015099243339080168, 0.015098945862548898, 0.015098638041470594, 0.015098321335530589, 0.015097997683057248, 0.015097669630665275, 0.01509734049910689, 0.015097014596556303, 0.015096697494467442, 0.015096396386596926, 0.015096120559458987, 0.015095882013392601, 0.015095696289126149, 0.01509558357760123, 0.015095570224589981, 0.015095690792220933, 0.015095990916477516, 0.015096531318802585, 0.015097393517639512, 0.015098688087701448, 0.015100566811543162, 0.015103240905803545, 0.015107008956816249, 0.01511230079667884, 0.015119748356418074, 0.015130303784537114, 0.015145443752420717, 0.015167538407822107, 0.015200552636880006, 0.015251463722226058, 0.015333353050124177, 0.015472825328953015, 0.015730175150036232, 0.01626433860802266, 0.017600366080769744, 0.022251199299052529, 0.051631402728512701, 0.05552363044814803, 0.024749162722535405, 0.019220655836361122, 0.017449807744328295, 0.01666302075200601, 0.016241954126974892, 0.015988245248549745, 0.015822352101983544, 0.01570721819473641, 0.015623614679303996, 0.015560718323304095, 0.015512037342510707, 0.01547347395626599, 0.015442330763108412, 0.015416768823411057, 0.015395496598745308, 0.015377583525080219, 0.015362344074833634, 0.01534926331002353, 0.015337947720530298, 0.015328091947803721, 0.015319455761109234, 0.015311847811530898, 0.015305113964090507, 0.015299128782818546, 0.015293789225814314, 0.015289009914375816, 0.015284719539823291, 0.015280858103762058, 0.015277374776520929, 0.015274226219392853, 0.015271375258578643, 0.015268789828481944, 0.015266442123200413, 0.015264307910338401, 0.015262365972403269, 0.015260597649246609, 0.015258986461106766, 0.01525751779638016, 0.015256178651707133, 0.015254957414593958, 0.015253843680818465, 0.015252828100433578, 0.015251902247403731, 0.015251058508866273, 0.015250289990764849, 0.015249590437200504, 0.01524895416132457, 0.015248375985980552, 0.015247851192611296, 0.015247375477198854, 0.015246944912208106, 0.015246555913672537, 0.015246205212698129, 0.015245889830774816, 0.015245607058379313, 0.01524535443643207, 0.015245129740237031, 0.015244930965588469, 0.015244756316776834, 0.015244604196265164, 0.015244473195842715, 0.015244362089091787, 0.01524426982502999, 0.01524419552281245, 0.01524413846739904, 0.015244098106109109, 0.015244074046002733, 0.015244066052042409, 0.015244070047695114, 0.015244082057817614, 0.015244102151942177, 0.015244130446086666, 0.015244167102951997, 0.015244212332201263, 0.015244266390823349, 0.015244329583584407, 0.015244402263571721, 0.01524448483283531, 0.01524457774313337, 0.015244681496788934, 0.015244796647665995, 0.015244923802274742, 0.015245063621016392, 0.01524521681957999, 0.015245384170504545, 0.015245566504921862, 0.015245764714496948, 0.01524597975358505, 0.015246212641626223, 0.015246464465801338, 0.015246736383975326, 0.015247029627957209, 0.01524734550710927, 0.015247685412341696, 0.015248050820533467, 0.015248443299424401, 0.015248864513029444, 0.015249316227631772, 0.015249800318418555, 0.015250318776830944, 0.015250873718708991, 0.015251467393322424, 0.015252102193389938, 0.015252780666203501, 0.015253505525989397, 0.015254279667656138, 0.01525510618209993, 0.015255988373262823, 0.015256929777166554, 0.015257934183177967, 0.015259005657800329, 0.015260148571329256, 0.015261367627765159, 0.015262667898435691, 0.015264054859855183, 0.015265534436434715, 0.015267113048759572, 0.015268797668273661, 0.015270595879357488, 0.015272515949962536, 0.01527456691217719, 0.015276758654355894, 0.015279102026754556, 0.015281608962994436, 0.015284292620140083, 0.015287167540747207, 0.015290249840938408, 0.0152935574294368, 0.015297110263572812, 0.015300930649639059, 0.015305043596680314, 0.015309477234972743, 0.015314263313208306, 0.015319437791939047, 0.015325041555402857, 0.015331121269785163, 0.015337730423736705, 0.015344930597209054, 0.015352793018290239, 0.01536140048599257, 0.01537084976168058, 0.015381254565645253, 0.015392749362056124, 0.015405494180805496, 0.015419680817072873, 0.015435540881665672, 0.015453356367239535, 0.015473473678639464, 0.01549632249986789, 0.015522441517233971, 0.015552514024230442, 0.015587418031063595, 0.015628298097700132, 0.015676670437607617, 0.015734580264849616, 0.015804843508839483, 0.015891429166301981, 0.016000084732562578, 0.016139399667521648, 0.016322697495798504, 0.016571587865629022, 0.016923079998163448, 0.017445003079331958, 0.018272926084106654, 0.019710602360753959, 0.022553412424792418, 0.029387728339510571, 0.050942366339058923, 0.097759812731254836, 0.051324305245583624, 0.027526899758550074, 0.020716996213974229, 0.018136982908942442, 0.01693380470944764, 0.01629040436133769, 0.015912293563958332, 0.015674380108890679, 0.015516785633672727, 0.015408147845108118, 0.0153308480206212, 0.015274418278071694, 0.015232348270714829, 0.015200432050434799, 0.015175863776185057, 0.015156719567744874, 0.015141648628857231, 0.015129682719757589, 0.015120115078007855, 0.015112421430117397, 0.015106207250867022, 0.015101171810633354, 0.015097083206490006, 0.015093760727712038, 0.015091062210054332, 0.015088874840747096, 0.015087108387178569, 0.015083673337503035, 0.015082095029294846, 0.015081615292327899, 0.01508179334287111, 0.015082364129424795, 0.015083163899365794, 0.015084089248331663, 0.01508507370711867, 0.015086073913195519, 0.015087061214236197, 0.015088016448169699, 0.015088926631937867, 0.01508978282460331, 0.015090578728018165, 0.015091309759066644, 0.015091972428060015, 0.015092563918435577, 0.015093081800146409, 0.015093523832441124, 0.015093887826571454, 0.015094171548555824, 0.015094372648418029, 0.015094488606515646, 0.015094516690438417, 0.015094453917997923, 0.015094297023409245, 0.015094042425179329, 0.015093686195767397, 0.015093224035150914, 0.015092651253591438, 0.015091962774105438, 0.015091153174089295, 0.015090216801304733, 0.015089148027791155, 0.015087941757457285, 0.015086594401553809, 0.015085105727410697, 0.015083482369904864, 0.015081744598191761, 0.015079939690557879, 0.015078169352177685, 0.015076648739463598, 0.015075841960291908, 0.01507680056092706, 0.015082110403975692, 0.015098991653538629, 0.015152109934002711, 0.015361529016781086, 0.017031489647352946, 0.041911287299497502, 0.016747595243025583, 0.01570410801816436, 0.015439097924785204, 0.015328369143964883, 0.015269785926321739, 0.015234185313686156, 0.015210489674897857, 0.015193674372198214, 0.015181165000186989, 0.015171519696200033, 0.015163874144763431, 0.015157681782637721, 0.015152581756848953, 0.0151483272291581, 0.015144744274500336, 0.015141707222165507, 0.015139123278717723, 0.015136922614454712, 0.015135051784399309, 0.015133469249782455, 0.015132142260051067, 0.015131044638207639, 0.015130155179375222, 0.015129456474057505, 0.015128934030910115, 0.015128575614263298, 0.015128370737977924, 0.015128310274710904, 0.015128386151489592, 0.015128591110614788, 0.015128918520571601, 0.015129362225627807, 0.015129916425662129, 0.015130575579839864, 0.015131334329272984, 0.015132187434927499, 0.015133129727883159, 0.015134156069685871, 0.015135261321018069, 0.015136440317283874, 0.01513768784999411, 0.015138998653060497, 0.015140367393284389, 0.015141788664463762, 0.015143256984652033, 0.01514476679618869, 0.015146312468190678, 0.015147888301247697, 0.015149488534106755, 0.01515110735216495, 0.015152738897613975, 0.015154377281098808, 0.015156016594766224, 0.015157650926587508, 0.015159274375844242, 0.015160881069668338, 0.015162465180526235, 0.015164020944534361, 0.015165542680488414, 0.01516702480948341, 0.015168461874994672, 0.015169848563283413, 0.015171179723983659, 0.01517245039072055, 0.015173655801604643, 0.015174791419442037, 0.015175852951496611, 0.015176836368639375, 0.015177737923719094, 0.015178554168991411, 0.015179281972447157, 0.015179918532886994, 0.015180461393598538, 0.015180908454502129, 0.015181257982645307, 0.015181508620939919, 0.015181659395052961, 0.015181709718380544, 0.015181676166633701, 0.015181575607681101, 0.015181408330085959, 0.015181174813787581, 0.015180875728609197, 0.015180511932183085, 0.015180084467306534, 0.015179594558746413, 0.015179043609513183, 0.015178433196628432, 0.015177765066413329, 0.015177041129327632, 0.015176263454391485, 0.015175434263224071, 0.015174555923734741, 0.015173630943503854, 0.015172661962890561, 0.015171651747906285, 0.01517060318289163, 0.015169519263034859, 0.015168403086768921, 0.01516725784808301, 0.015166086828783397, 0.015164893390736041, 0.015163680968121634, 0.015162453059731547, 0.015161213221329902, 0.015159965058104508, 0.015158712217226002, 0.015157458380531268, 0.015156207257343459, 0.015154962577437451, 0.015153728084155162, 0.015152507527671819, 0.015151304658409415, 0.015150123220589447, 0.015148966945913063, 0.01514783954735162, 0.015146744713026338, 0.015145686100151327, 0.015144667329009114, 0.015143691976923279, 0.015142763572188101, 0.015141885587910166, 0.015141061435712307, 0.015140294459245487, 0.015139587927449899, 0.015138945027502133, 0.015138368857381332, 0.015137862417983879, 0.015137428604713083, 0.015137070198468073, 0.015136789855955299, 0.01513659009924569, 0.015136473304502168, 0.015136441689806133, 0.015136497302016593, 0.015136642002604683, 0.015136877452417779, 0.015137205095342865, 0.015137626140858403, 0.015138141545488887, 0.015138751993205682, 0.015139457874853839, 0.015140259266726339, 0.015141155908455784, 0.015142147180448255, 0.015143232081145227, 0.015144409204465949, 0.015145676717853933, 0.015147032341424964, 0.015148473328788742, 0.015149996450188781, 0.01515159797867164, 0.015153273680053595, 0.015155018807494789, 0.015156828101513038, 0.015158695796266601, 0.015160615632901331, 0.015162580880688397, 0.015164584366570351, 0.015166618513582707, 0.015168675388425094, 0.01517074675822264, 0.015172824156248071, 0.015174898956076948, 0.015176962453331571, 0.015179005953847979, 0.015181020866789546, 0.015182998800947343, 0.015184931662228542, 0.015186811750156013, 0.015188631851099093, 0.015190385325937623, 0.015192066189934617, 0.015193669182758961, 0.015195189826851757, 0.015196624472660448, 0.015197970329655267, 0.015199225482476432, 0.015200388892014692, 0.015201460381679778, 0.015202440609539816, 0.015203331027399436, 0.015204133828209456, 0.01520485188345469, 0.01520548867234129, 0.015206048204700133, 0.015206534939539466, 0.015206953701126163, 0.015207309594359264, 0.015207607921034998, 0.015207854098401139, 0.015208053581174304, 0.015208211787959527, 0.015208334032777653, 0.015208425462183282, 0.015208490998252115, 0.015208535287536509, 0.015208562655936737, 0.015208577069314142, 0.015208582099582202, 0.015208580895951378, 0.015208576160971241, 0.015208570131008065, 0.015208564560812109, 0.015208560711865418, 0.015208559344253077], [0.015139184760448779, 0.015139140543222693, 0.01513900799597764, 0.01513878743164818, 0.015138479370578297, 0.015138084538712175, 0.015137603865083908, 0.015137038478627953, 0.015136389704338555, 0.015135659058812057, 0.015134848245210605, 0.015133959147691584, 0.015132993825351021, 0.01513195450573333, 0.015130843577963337, 0.015129663585559854, 0.015128417218992255, 0.015127107308043923, 0.015125736814048166, 0.015124308822063139, 0.015122826533053762, 0.015121293256148338, 0.015119712401038946, 0.015118087470593657, 0.015116422053749148, 0.015114719818752138, 0.015112984506817282, 0.015111219926269929, 0.015109429947241277, 0.015107618496984434, 0.015105789555880263, 0.015103947154202586, 0.015102095369714512, 0.015100238326169175, 0.015098380192791305, 0.01509652518481913, 0.015094677565190919, 0.015092841647465135, 0.015091021800069129, 0.015089222451978307, 0.015087448099934878, 0.015085703317323416, 0.015083992764829097, 0.015082321203012637, 0.015080693506944253, 0.015079114683045385, 0.015077589888291748, 0.015076124451931858, 0.015074723899870541, 0.015073393981854115, 0.015072140701569484, 0.015070970349728936, 0.015069889540150223, 0.015068905248750229, 0.015068024855239599, 0.015067256187124957, 0.015066607565377929, 0.015066087850799388, 0.015065706489670719, 0.015065473556717321, 0.015065399792684857, 0.015065496632918328, 0.015065776222210977, 0.015066251409836678, 0.015066935717092262, 0.015067843267881607, 0.015068988670942264, 0.015070386840387869, 0.01507205273955216, 0.01507400103203508, 0.0150762456238859, 0.015078799082693894, 0.01508167192382812, 0.015084871762082853, 0.015088402339383919, 0.015092262456505367, 0.015096444858766876, 0.015100935151148678, 0.015105710844379798, 0.015110740655815724, 0.015115984201306595, 0.015121392210095235, 0.015126907368317207, 0.015132465845162708, 0.015137999481577197, 0.015143438533248047, 0.015148714772128145, 0.015153764681649619, 0.01515853244656053, 0.015162972449222522, 0.015167051040641269, 0.015170747446301414, 0.015174053775935784, 0.015176974211683793, 0.01517952353243706, 0.01518172518223534, 0.015183609104636628, 0.015185209547852973, 0.015186563006679069, 0.015187706417886261, 0.015188675675637281, 0.015189504489634853, 0.015190223574977801, 0.015190860140086736, 0.015191437626634359, 0.015191975651150071, 0.015192490099498432, 0.015192993330542619, 0.015193494452190906, 0.015193999640374716, 0.015194512478469454, 0.015195034300769669, 0.015195564528669174, 0.015196100992158157, 0.01519664023222413, 0.01519717778187565, 0.015197708424956902, 0.015198226432843014, 0.015198725779635758, 0.015199200336733143, 0.015199644047714721, 0.015200051084438448, 0.015200415985135491, 0.015200733775153321, 0.01520100007085871, 0.015201211167084717, 0.01520136410839815, 0.015201456744377062, 0.015201487769022108, 0.015201495130438806, 0.015201517290167874, 0.015201554474976686, 0.015201607063918158, 0.015201675590012054, 0.015201760742640184, 0.015201863370697687, 0.015201984486556498, 0.015202125270911752, 0.015202287078598303, 0.015202471445482927, 0.015202680096558226, 0.015202914955388022, 0.015203178155080944, 0.015203472050999849, 0.015203799235451688, 0.01520416255464406, 0.015204565128245529, 0.015205010371945184, 0.015205502023477811, 0.015206044172664661, 0.015206641296120812, 0.015207298297401939, 0.015208020553510603, 0.01520881396886219, 0.015209685038030555, 0.015210640918864147, 0.015211689517898148, 0.015212839590403903, 0.015214100857936882, 0.015215484146896526, 0.015217001552436544, 0.015218666633111541, 0.015220494642986224, 0.015222502809658324, 0.015224710668881912, 0.015227140469396987, 0.015229817665411559, 0.015232771519277008, 0.01523603584371349, 0.015239649922147441, 0.015243659658275469, 0.015248119023267063, 0.015253091893124997, 0.015258654402720968, 0.015264897991598629, 0.015271933387006071, 0.015279895873106308, 0.015288952350003521, 0.015299310921577866, 0.015311234116206074, 0.015325057422905713, 0.015341215763662109, 0.015360282084315339, 0.015383024921603202, 0.015410496537325659, 0.015444171896510655, 0.015486175380900313, 0.015539665461860376, 0.015609518243188476, 0.015703610799803074, 0.015835396927663302, 0.016029522766126819, 0.016335431481978635, 0.016865252789558721, 0.017921879399868109, 0.020576682277762329, 0.030802628977043469, 0.083527216277709398, 0.032033087773783754, 0.019424471187055477, 0.016815738777841847, 0.015936114812773957, 0.015552430142993569, 0.015357465674571, 0.015248012901615168, 0.015182157011206716, 0.015140494463488346, 0.015113139451870332, 0.015094673058793022, 0.015081948720965127, 0.015073052399496103, 0.015066774425502725, 0.015062325503876029, 0.015059176558197815, 0.015056964693522728, 0.015055436034240267, 0.015054409916668531, 0.015053755860595024, 0.015053378411461682, 0.015053206955427102, 0.015053188748719673, 0.015053284067412995, 0.015053462781975429, 0.015053701905242644, 0.015053983815591308, 0.015054294954972052, 0.015054624865155779, 0.015054965467681857, 0.015055310521294479, 0.01505565520992385, 0.015055995827563479, 0.015056329535676632, 0.015056654175318077, 0.015056968120832856, 0.015057270165360936, 0.015057559430825545, 0.015057835296877632, 0.015058097344595792, 0.01505834531172894, 0.015058579057010075, 0.01505879853162893, 0.015059003756376432, 0.015059194803299081, 0.015059371780950936, 0.015059534822524355, 0.015059684076290693, 0.015059819697899234, 0.015059941844175178, 0.015060050668129552, 0.015060146314952234, 0.015060228918804553, 0.015060298600265674, 0.015060355464316097, 0.015060399598766532, 0.01506043107306039, 0.01506044993739504, 0.015060456222121512, 0.01506044993739504, 0.015060431073060392, 0.015060399598766532, 0.015060355464316097, 0.015060298600265682, 0.015060228918804559, 0.01506014631495224, 0.015060050668129555, 0.015059941844175175, 0.015059819697899237, 0.015059684076290691, 0.015059534822524362, 0.015059371780950938, 0.015059194803299083, 0.015059003756376432, 0.015058798531628928, 0.015058579057010081, 0.015058345311728947, 0.015058097344595787, 0.01505783529687763, 0.015057559430825549, 0.015057270165360936, 0.015056968120832856, 0.015056654175318075, 0.015056329535676627, 0.015055995827563486, 0.015055655209923854, 0.015055310521294477, 0.01505496546768186, 0.015054624865155771, 0.015054294954972054, 0.015053983815591308, 0.015053701905242646, 0.015053462781975422, 0.015053284067413002, 0.015053188748719677, 0.0150532069554271, 0.015053378411461682, 0.01505375586059503, 0.015054409916668529, 0.015055436034240269, 0.015056964693522731, 0.01505917655819781, 0.015062325503876031, 0.015066774425502725, 0.015073052399496105, 0.015081948720965124, 0.015094673058793015, 0.015113139451870341, 0.015140494463488308, 0.015182157011206655, 0.015248012901615083, 0.015357465674571028, 0.015552430142993526, 0.015936114812773849, 0.016815738777842721, 0.01942447118705707, 0.032033087773771798, 0.083527216277718488, 0.030802628977063387, 0.020576682277766094, 0.017921879399867748, 0.016865252789559016, 0.016335431481978576, 0.016029522766126805, 0.015835396927663295, 0.015703610799803137, 0.015609518243188479, 0.015539665461860421, 0.015486175380900292, 0.015444171896510664, 0.015410496537325655, 0.015383024921603206, 0.01536028208431533, 0.015341215763662108, 0.015325057422905724, 0.01531123411620609, 0.015299310921577875, 0.015288952350003522, 0.015279895873106316, 0.015271933387006068, 0.015264897991598633, 0.015258654402720968, 0.015253091893124996, 0.015248119023267063, 0.015243659658275465, 0.015239649922147441, 0.015236035843713488, 0.015232771519277015, 0.015229817665411561, 0.015227140469396983, 0.015224710668881912, 0.015222502809658327, 0.015220494642986226, 0.015218666633111541, 0.015217001552436545, 0.015215484146896529, 0.015214100857936882, 0.015212839590403909, 0.015211689517898145, 0.015210640918864142, 0.015209685038030555, 0.015208813968862193, 0.015208020553510601, 0.015207298297401941, 0.015206641296120812, 0.01520604417266465, 0.015205502023477809, 0.015205010371945177, 0.015204565128245529, 0.01520416255464406, 0.015203799235451685, 0.015203472050999849, 0.015203178155080935, 0.015202914955388025, 0.015202680096558214, 0.015202471445482929, 0.015202287078598307, 0.01520212527091175, 0.015201984486556503, 0.015201863370697691, 0.015201760742640185, 0.015201675590012056, 0.015201607063918154, 0.01520155447497668, 0.015201517290167877, 0.015201495130438804, 0.015201487769022115, 0.015201491448457168, 0.015201502509204962, 0.01520152101862869, 0.015201547089118099, 0.015201580878267515, 0.015201622589127346, 0.015201672470531955, 0.015201730817506847, 0.015201797971759318, 0.01520187432225766, 0.015201960305904278, 0.015202056408309763, 0.015202163164675269, 0.015202281160792266, 0.015202411034169097, 0.015202553475295843, 0.015202709229059634, 0.015202879096324576, 0.015203063935691589, 0.015203264665455728, 0.015203482265779953, 0.015203717781107117, 0.01520397232283381, 0.015204247072272671, 0.015204543283932774, 0.015204862289150807, 0.015205205500110041, 0.015205574414287585, 0.01520597061937602, 0.015206395798730246, 0.015206851737396944, 0.01520734032879072, 0.015207863582089254, 0.01520842363042854, 0.015209022739989678, 0.015209663320080993, 0.015210347934332147, 0.015211079313133466, 0.015211860367471106, 0.015212694204330333, 0.015213584143863085, 0.015214533738544525, 0.015215546794576387, 0.0152166273958333, 0.015217779930693691, 0.015219009122149818, 0.015220320061654203, 0.015221718247233531, 0.015223209626488703, 0.015224800645203819, 0.015226498302410874, 0.015228310212905506, 0.01523024467838708, 0.015232310768611135, 0.01523451841420129, 0.015236878513082962, 0.015239403052883932, 0.015242105252116918, 0.015244999723534909, 0.015248102663762184, 0.015251432074186241, 0.015255008019195613, 0.015258852929226864, 0.015262991957819071, 0.01526745340407356, 0.015272269214718064, 0.015277475583567979, 0.015283113670816069, 0.015289230470611728, 0.01529587986328723, 0.015303123899009629, 0.015311034373503739, 0.015319694775105754, 0.015329202707625526, 0.015339672928001969, 0.015351241185449669, 0.015364069115518854, 0.015378350536931495, 0.015394319634470313, 0.015412261708090175, 0.0154325274590538, 0.015455552219959359, 0.015481882201528113, 0.015512210866107261, 0.01554743018744814, 0.015588704242272058, 0.015637577067079085, 0.015696134431354737, 0.01576725288422693, 0.015854994671053578, 0.015965255549460964, 0.01610686996697144, 0.016293585077323498, 0.016547784002935405, 0.016907984939860187, 0.017445213900503822, 0.018302563269445616, 0.019804110318429824, 0.022811332231734486, 0.030184763580291207, 0.053936584726112499, 0.09745114069241656, 0.047806705927068642, 0.026529311615701667, 0.02033022653512687, 0.017936513977572437, 0.016806268897601419, 0.016196860107127262, 0.015836671311659015, 0.015609105661168431, 0.015457915193814981, 0.015353463481411691, 0.015279023598864575, 0.015224620357918585, 0.015184030951061403, 0.015153225092504465, 0.015129508493476227, 0.015111030505956146, 0.015096489813992205, 0.015084952463327497, 0.015075735982920951, 0.015068333653740695, 0.015062363863162159, 0.015057535532372119, 0.015053624076245376, 0.015050454406121735, 0.01504788872910273, 0.015045817668838042, 0.01504177844344185, 0.015039884554877248, 0.015039247012750428, 0.015039355917080183, 0.015039908118893434, 0.015040718155167507, 0.015041669928900398, 0.015042689410808536, 0.015043728681909294, 0.015044756331552613, 0.015045751535434079, 0.015046700325569581, 0.015047593198395636, 0.015048423557407304, 0.015049186685996729, 0.015049879062528798, 0.015050497899273851, 0.015051040829307088, 0.015051505691924023, 0.015051890383856124, 0.015052192754329494, 0.015052410529032072, 0.015052541252714829, 0.015052582243318999, 0.015052530552762464, 0.015052382931239077, 0.01505213579341173, 0.015051785186541662, 0.015051326762805918, 0.015050755761433905, 0.015050067011878884, 0.015049254978863998, 0.015048313887168274, 0.015047237994808166, 0.015046022140220102, 0.015044662797104261, 0.015043160081770392, 0.015041521585164913, 0.015039769802684743, 0.015037956928707149, 0.015036195458458794, 0.0150347247993705, 0.015034066321573964, 0.015035417649365976, 0.015041782240454018, 0.015061794115397079, 0.015126367263991265, 0.015400060504965001, 0.018202596294919157, 0.027012745801112875, 0.016364603458652611, 0.015592220813413134, 0.015370746892807825, 0.015273302484578281, 0.015220240578206418, 0.015187395904167664, 0.015165253216909202, 0.015149391662941838, 0.015137506804997848, 0.015128291110928293, 0.015120952809577086, 0.015114987137195607, 0.015110058624878136, 0.015105936534598846, 0.01510245753321871, 0.015099503138634963, 0.015096985569020116, 0.015094838571273495, 0.015093011305994747, 0.015091464167623511, 0.015090165863679601, 0.01508909133336909, 0.015088220238064911, 0.015087535849150327, 0.015087024216940421, 0.015086673541693801, 0.015086473692114272, 0.015086415832989329, 0.015086492134624853, 0.01508669554431848, 0.015087019605412864, 0.015087458313223313, 0.015088005999827139, 0.015088657241656511, 0.015089406785271899, 0.015090249487757643, 0.01509118026897914, 0.015092194073544299, 0.015093285840772444, 0.015094450481328035, 0.015095682859450853, 0.015096977779928933, 0.015098329979128211, 0.015099734119525919, 0.015101184787299245, 0.015102676492604406, 0.015104203672246828, 0.015105760694495372, 0.015107341865834293, 0.015108941439478295, 0.015110553625500131, 0.015112172602437914, 0.015113792530261941, 0.015115407564589185, 0.015117011872037451, 0.015118599646613464, 0.015120165127027446, 0.015121702614823826, 0.015123206493213189, 0.015124671246484559, 0.015126091479870566, 0.015127461939731355, 0.015128777533916107, 0.015130033352154411, 0.015131224686324246, 0.015132347050438354, 0.015133396200187554, 0.01513436815187782, 0.015135259200597348, 0.015136065937452724, 0.015136785265716515, 0.015137414415735406, 0.015137950958456292, 0.015138392817438165, 0.015138738279230988, 0.015138986002016673, 0.015139135022424175, 0.015139184760448779, 0.015139151598937502, 0.015139052209625121, 0.015138886877879017, 0.015138656078324144, 0.015138360473368837, 0.01513800091115494, 0.015137578422945689, 0.015137094219968844, 0.015136549689735714, 0.015135946391859939, 0.015135286053402985, 0.015134570563775807, 0.015133801969228368, 0.015132982466960869, 0.015132114398891693, 0.01513120024511908, 0.015130242617113104, 0.015129244250676317, 0.015128207998710364, 0.01512713682382613, 0.015126033790833947, 0.015124902059149388, 0.015123744875148767, 0.015122565564506515, 0.015121367524544575, 0.015120154216621655, 0.015118929158587344, 0.015117695917323176, 0.01511645810138961, 0.015115219353794639, 0.01511398334489583, 0.015112753765444305, 0.015111534319774706, 0.015110328719141785, 0.015109140675199719, 0.015107973893615638, 0.015106832067805498, 0.015105718872774676, 0.015104637959042169, 0.015103592946621967, 0.015102587419030882, 0.015101624917287247, 0.015100708933860141, 0.015099842906524174, 0.015099030212070291, 0.015098274159818235, 0.015097577984872096, 0.015096944841056397, 0.015096377793465881, 0.015095879810559328, 0.015095453755724695, 0.015095102378241035, 0.015094828303561713, 0.015094634022843955, 0.015094521881651383, 0.015094494067760558, 0.015094552598008211, 0.015094699304125323, 0.015094935817516074, 0.015095263552955908, 0.015095683691202906, 0.015096197160542198, 0.01509680461731305, 0.015097506425504779, 0.015098302635549701, 0.015099192962489918, 0.015100176763749494, 0.015101253016804083, 0.015102420297106043, 0.015103676756692897, 0.01510502010397886, 0.015106447585301871, 0.015107955968867508, 0.015109541531794446, 0.015111200051018469, 0.015112926798849069, 0.015114716543989682, 0.015116563558823697, 0.015118461633728883, 0.015120404099108387, 0.015122383855713057, 0.01512439341367572, 0.015126424940483061, 0.015128470317877127, 0.01513052120741106, 0.015132569124090783, 0.015134605517225647, 0.015136621857301294, 0.015138609727390772, 0.015140560917352641, 0.015142467518843589, 0.015144322019013111, 0.015146117390661998, 0.015147847176644887, 0.015149505566383297, 0.015151087462531243, 0.015152588536092635, 0.015154005268619949, 0.015155334980508729, 0.015156575844826119, 0.015157726886550942, 0.015158787967536535, 0.015159759757915664, 0.015160643695029539, 0.015161441931266747, 0.015162157272431226, 0.015162793108415614, 0.015163353338036978, 0.015163842289897322, 0.01516426464107116, 0.015164625335303335, 0.015164929502236786, 0.015165182378992229, 0.015165389235204352, 0.015165555302392723, 0.015165685708321773, 0.01516578541679147, 0.015165859173106448, 0.015165911455301152, 0.015165946431055666, 0.015165967920123556, 0.015165979362008527, 0.015165983788571733, 0.015165983801222187, 0.015165981552339416, 0.015165978730594104, 0.015165976549868582, 0.015165975741529636], [0.015391598958059083, 0.01539155503488763, 0.015391423369062268, 0.015391204271286645, 0.01539089825819224, 0.015390506050537605, 0.015390028570709936, 0.015389466939550664, 0.01538882247253328, 0.015388096675327203, 0.015387291238786176, 0.015386408033405357, 0.015385449103295295, 0.015384416659724965, 0.015383313074289763, 0.015382140871763419, 0.015380902722695338, 0.015379601435816783, 0.015378239950321492, 0.01537682132808697, 0.015375348745904169, 0.015373825487783108, 0.015372254937403075, 0.015370640570775231, 0.01536898594918591, 0.01536729471248852, 0.015365570572811427, 0.015363817308749661, 0.015362038760107593, 0.015360238823260406, 0.015358421447202729, 0.015356590630353252, 0.015354750418186196, 0.01535290490176212, 0.015351058217233243, 0.015349214546401577, 0.015347378118412627, 0.015345553212671822, 0.015343744163076435, 0.015341955363662398, 0.015340191275772037, 0.015338456436856194, 0.015336755471032304, 0.015335093101527001, 0.015333474165139211, 0.015331903628864827, 0.015330386608827271, 0.015328928391657073, 0.015327534458456863, 0.015326210511472909, 0.015324962503566861, 0.015323796670538096, 0.015322719566280969, 0.015321738100666296, 0.015320859579901758, 0.015320091748941131, 0.015319442835261911, 0.01531892159299815, 0.015318537345979049, 0.01531830002766146, 0.015318220215229347, 0.015318309154241138, 0.015318578769113005, 0.015319041653419347, 0.015319711032473388, 0.015320600688953051, 0.015321724840537844, 0.015323097956766195, 0.015324734500848638, 0.015326648581338411, 0.01532885349886969, 0.015331361175275981, 0.015334181457077449, 0.015337321293404422, 0.015340783800636734, 0.015344567242769188, 0.015348663977468384, 0.015353059441601485, 0.015357731273915685, 0.015362648692197285, 0.015367772252018463, 0.015373054108029848, 0.015378438871671195, 0.015383865109121273, 0.01538926745307234, 0.015394579220051991, 0.015399735345218454, 0.015404675385056627, 0.015409346309861934, 0.015413704821002945, 0.015417718982346281, 0.015421369041089053, 0.015424647413835785, 0.015427557910039545, 0.015430114340574345, 0.015432338704274127, 0.015434259157542639, 0.015435907956110497, 0.015437319522396804, 0.015438528746712961, 0.015439569584605285, 0.015440473972343351, 0.01544127105141312, 0.015441986671837129, 0.015442643132404631, 0.015443259111651748, 0.015443849744554521, 0.015444426804379519, 0.01544499895532416, 0.015445572048263051, 0.015446149438300354, 0.015446732308460975, 0.015447319988535761, 0.015447910261800119, 0.015448499655126012, 0.015449083710029099, 0.015449657233580142, 0.015450214529003269, 0.015450749606308751, 0.015451256373571811, 0.015451728809556311, 0.015452161118360227, 0.015452547866676096, 0.015452884104150508, 0.015453165467212931, 0.015453388266641499, 0.015453549559047474, 0.015453647202394184, 0.015453679895618836, 0.015453686651427587, 0.015453706991953746, 0.015453741136798906, 0.015453789452977325, 0.015453852456452102, 0.015453930814323868, 0.015454025347710872, 0.015454137035372087, 0.015454267018138358, 0.015454416604231764, 0.015454587275570189, 0.01545478069517277, 0.015454998715803549, 0.015455243390015173, 0.015455516981782665, 0.015455821979950501, 0.015456161113754124, 0.015456537370722504, 0.01545695401732111, 0.015457414622757655, 0.015457923086448288, 0.015458483669731175, 0.015459101032523069, 0.015459780275744822, 0.015460526990500561, 0.015461347315189361, 0.015462248001965743, 0.01546323649425861, 0.015464321017421366, 0.01546551068503855, 0.015466815623980138, 0.015468247122008418, 0.015469817802644857, 0.01547154183315509, 0.015473435172985207, 0.01547551587188653, 0.015477804429440967, 0.015480324230940444, 0.015483102078851989, 0.015486168844794836, 0.015489560274603088, 0.015493317989414758, 0.015497490739923951, 0.015502135990583601, 0.015507321938060238, 0.015513130107246718, 0.015519658724173033, 0.015527027146814292, 0.015535381755663019, 0.015544903887871142, 0.015555820677711251, 0.015568420102448195, 0.015583072230492594, 0.01560025981207764, 0.015620623277524564, 0.015645028547802295, 0.01567467205635106, 0.015711248561446334, 0.015757229117114614, 0.015816341240375908, 0.015894440476064389, 0.016001189267400778, 0.016153534728838959, 0.016383599637984549, 0.01675882264533814, 0.017442188725936468, 0.018918019658171234, 0.023191082443618938, 0.044587184161500988, 0.065182182523591661, 0.024188628424921144, 0.018170033782903338, 0.016587843122311176, 0.015984452569947696, 0.015702059330993581, 0.015552022652660709, 0.015465219022015548, 0.015411878934662846, 0.015377626395220303, 0.015354900327371973, 0.015339452319174579, 0.015328766371953725, 0.015321287334817116, 0.015316019328028537, 0.015312305397396574, 0.015309701120491067, 0.015307899308366568, 0.015306683658920087, 0.015305899407883121, 0.015305434273966792, 0.015305205811426786, 0.015305152848970903, 0.015305229591980753, 0.015305401494800301, 0.01530564233035597, 0.015305932082747765, 0.015306255413795955, 0.015306600535235972, 0.015306958371124751, 0.015307321930210942, 0.015307685831785404, 0.015308045944796678, 0.015308399111291558, 0.015308742933148323, 0.015309075606675797, 0.01530939579366509, 0.015309702520382861, 0.015309995098111014, 0.015310273060394172, 0.015310536113309545, 0.015310784095935424, 0.015311016948841509, 0.01531123468891476, 0.015311437389207374, 0.015311625162779195, 0.015311798149727348, 0.015311956506766061, 0.015312100398852634, 0.015312229992459332, 0.015312345450172699, 0.015312446926366496, 0.015312534563745667, 0.015312608490600425, 0.015312668818642171, 0.015312715641320297, 0.015312749032541376, 0.015312769045730498, 0.015312775713190724, 0.015312769045730496, 0.015312749032541382, 0.015312715641320297, 0.015312668818642169, 0.015312608490600437, 0.015312534563745671, 0.015312446926366505, 0.015312345450172703, 0.015312229992459327, 0.01531210039885263, 0.01531195650676606, 0.015311798149727355, 0.015311625162779195, 0.015311437389207374, 0.01531123468891476, 0.015311016948841506, 0.015310784095935432, 0.015310536113309549, 0.015310273060394168, 0.015309995098111017, 0.015309702520382865, 0.015309395793665099, 0.015309075606675802, 0.015308742933148324, 0.015308399111291556, 0.015308045944796679, 0.015307685831785402, 0.01530732193021094, 0.015306958371124757, 0.015306600535235958, 0.015306255413795959, 0.015305932082747765, 0.015305642330355973, 0.015305401494800292, 0.015305229591980756, 0.015305152848970908, 0.015305205811426782, 0.015305434273966788, 0.015305899407883123, 0.015306683658920087, 0.01530789930836657, 0.01530970112049107, 0.015312305397396569, 0.015316019328028537, 0.015321287334817116, 0.015328766371953725, 0.015339452319174569, 0.015354900327371966, 0.015377626395220315, 0.015411878934662801, 0.01546521902201547, 0.015552022652660589, 0.015702059330993612, 0.015984452569947606, 0.016587843122311024, 0.018170033782904934, 0.024188628424925852, 0.065182182523557883, 0.044587184161516011, 0.023191082443626162, 0.018918019658173142, 0.01744218872593617, 0.016758822645338345, 0.016383599637984497, 0.016153534728838952, 0.01600118926740076, 0.015894440476064437, 0.015816341240375911, 0.015757229117114656, 0.015711248561446317, 0.015674672056351067, 0.015645028547802298, 0.015620623277524564, 0.015600259812077638, 0.015583072230492594, 0.015568420102448207, 0.015555820677711267, 0.015544903887871147, 0.015535381755663019, 0.015527027146814304, 0.015519658724173029, 0.015513130107246722, 0.01550732193806024, 0.015502135990583603, 0.015497490739923949, 0.015493317989414758, 0.015489560274603088, 0.01548616884479484, 0.015483102078851995, 0.015480324230940446, 0.015477804429440972, 0.015475515871886527, 0.01547343517298521, 0.015471541833155088, 0.015469817802644855, 0.015468247122008411, 0.015466815623980137, 0.015465510685038552, 0.015464321017421371, 0.01546323649425861, 0.015462248001965745, 0.015461347315189361, 0.015460526990500561, 0.015459780275744819, 0.015459101032523074, 0.015458483669731174, 0.015457923086448284, 0.015457414622757655, 0.015456954017321107, 0.015456537370722509, 0.015456161113754118, 0.015455821979950501, 0.015455516981782663, 0.01545524339001517, 0.015454998715803553, 0.015454780695172764, 0.015454587275570192, 0.015454416604231764, 0.015454267018138356, 0.015454137035372092, 0.01545402534771087, 0.015453930814323866, 0.015453852456452104, 0.015453789452977321, 0.015453741136798897, 0.015453706991953741, 0.015453686651427583, 0.015453679895618839, 0.015453683272298077, 0.01545369342416825, 0.015453710416758318, 0.01545373435938885, 0.015453765405331591, 0.015453803752035145, 0.015453849641419215, 0.015453903360240202, 0.01545396524053207, 0.015454035660127013, 0.015454115043261132, 0.015454203861271328, 0.015454302633390534, 0.015454411927649306, 0.015454532361892764, 0.015454664604923365, 0.015454809377780635, 0.015454967455170986, 0.015455139667061676, 0.015455326900454933, 0.015455530101359763, 0.0154557502769813, 0.015455988498149279, 0.015456245902010043, 0.015456523695008873, 0.015456823156192647, 0.015457145640866145, 0.015457492584639026, 0.015457865507904922, 0.015458266020798691, 0.015458695828683594, 0.015459156738225992, 0.015459650664122509, 0.015460179636552376, 0.015460745809436779, 0.015461351469597706, 0.015461999046920477, 0.015462691125638117, 0.015463430456871411, 0.015464219972576992, 0.01546506280107688, 0.015465962284367411, 0.015466921997434425, 0.015467945769834422, 0.015469037709840932, 0.015470202231500542, 0.015471444084997005, 0.015472768390784991, 0.015474180678029741, 0.015475686927977413, 0.015477293622986284, 0.015479007802074405, 0.015480837123989488, 0.015482789938987081, 0.015484875370720338, 0.01548710340990735, 0.015489485021760599, 0.015492032269552043, 0.015494758457162345, 0.015497678294047693, 0.015500808086778981, 0.01550416596220361, 0.015507772128396392, 0.015511649180964903, 0.015515822464037697, 0.015520320497497749, 0.015525175484871976, 0.015530423919942209, 0.015536107314863065, 0.015542273078710997, 0.015548975583432711, 0.015556277464782773, 0.01556425121998364, 0.015572981182838581, 0.015582565982784947, 0.015593121629644886, 0.015604785414640564, 0.015617720886558353, 0.01563212425873443, 0.015648232741457612, 0.015666335496605729, 0.015686788210189557, 0.015710032727477136, 0.015736623882112548, 0.015767266721715689, 0.015802869039079362, 0.015844616902233308, 0.015894085538637692, 0.015953405964987486, 0.016025522064181182, 0.016114599243687688, 0.016226696709935148, 0.016370918203478635, 0.016561475511286932, 0.016821598994986291, 0.017191459507769648, 0.017745589212797317, 0.018635360985361279, 0.020207366726283205, 0.023397069303874519, 0.031375552781299318, 0.057529477696647895, 0.095824749321048078, 0.044904596426005985, 0.025918188594686406, 0.020266449232650776, 0.01804213821343912, 0.016978914237051203, 0.016400957913841618, 0.016057430567203105, 0.01583951819453279, 0.015694318532896764, 0.015593792418288179, 0.015522040816582832, 0.015469546974176844, 0.015430356094819806, 0.015400601848152378, 0.015377694178174549, 0.015359850927564294, 0.015345817094990782, 0.015334690842515222, 0.015325812470288774, 0.015318691727221154, 0.015312959123221948, 0.01530833264698611, 0.015304594594687764, 0.015301575169139579, 0.015299140695713458, 0.015294386950668492, 0.015292124452776439, 0.015291304700472604, 0.015291334893442183, 0.015291866807783329, 0.015292689590077176, 0.015293672447240909, 0.015294732673338647, 0.015295817160905558, 0.015296891380610609, 0.015297932640949072, 0.015298925874175246, 0.015299860951937017, 0.015300730947981339, 0.015301530998593861, 0.015302257546560213, 0.015302907834622325, 0.015303479563030395, 0.015303970655859141, 0.015304379099677327, 0.015304702830257373, 0.015304939650867329, 0.015305087170873711, 0.01530514275688754, 0.015305103491149661, 0.01530496613372676, 0.01530472708673705, 0.015304382360602825, 0.015303927544683023, 0.015303357788243946, 0.015302667803704541, 0.015301851914436214, 0.015300904187783413, 0.015299818727390124, 0.01529859026107269, 0.015297215279125524, 0.015295694211391722, 0.015294035607410574, 0.015292264296120671, 0.01529043776406553, 0.015288680359313836, 0.01528725862060094, 0.015286759206959839, 0.015288549991249045, 0.015296134931781729, 0.015319910650383172, 0.015399085544402408, 0.015765050760644297, 0.02102082294735971, 0.021728828752828028, 0.016377770894633707, 0.015787943990368848, 0.015600632423957794, 0.015514309264224837, 0.015466034867178751, 0.015435631726255086, 0.01541488428319397, 0.015399887882505131, 0.015388573385768317, 0.01537975201779611, 0.015372696840467756, 0.015366940764095574, 0.01536217135343651, 0.015358172559920221, 0.015354790757650385, 0.015351914077265619, 0.015349459361448967, 0.015347363666075722, 0.015345578567614957, 0.015344066256156801, 0.015342796795421339, 0.015341746163828926, 0.015340894829637283, 0.015340226698383998, 0.015339728324468081, 0.015339388313163456, 0.015339196861964657, 0.015339145405274403, 0.015339226336712397, 0.015339432790415742, 0.015339758467667986, 0.015340197498720454, 0.015340744332204458, 0.015341393646377556, 0.015342140277803149, 0.015342979164071225, 0.015343905297924763, 0.015344913690729611, 0.015345999343663895, 0.015347157225340569, 0.015348382254838807, 0.015349669289324793, 0.015351013115603173, 0.015352408445067835, 0.015353849911621104, 0.015355332072210383, 0.015356849409694501, 0.015358396337802225, 0.015359967207984283, 0.015361556317990865, 0.015363157922029585, 0.015364766242375646, 0.015366375482318201, 0.015367979840334304, 0.015369573525385734, 0.015371150773235514, 0.015372705863679139, 0.015374233138582312, 0.015375727020612176, 0.015377182032543079, 0.015378592817010947, 0.015379954156583624, 0.015381260994007551, 0.015382508452484182, 0.015383691855824232, 0.01538480674832261, 0.015385848914193499, 0.015386814396403596, 0.015387699514740413, 0.015388500882955614, 0.015389215424826507, 0.015389840388985348, 0.015390373362374534, 0.015390812282196046, 0.0153911554462367, 0.015391401521464771, 0.015391549550810237, 0.015391598958059083, 0.015391566017084425, 0.015391467288771502, 0.015391303056658295, 0.015391073792326598, 0.015390780153936584, 0.01539042298418909, 0.015390003307729131, 0.015389522328007887, 0.015388981423623901, 0.015388382144167111, 0.015387726205592684, 0.015387015485153869, 0.01538625201592549, 0.015385437980951756, 0.015384575707053288, 0.015383667658330021, 0.015382716429396611, 0.015381724738388374, 0.015380695419774831, 0.015379631417018265, 0.015378535775113611, 0.01537741163304486, 0.015376262216192043, 0.015375090828720486, 0.015373900845982369, 0.015372695706958232, 0.015371478906762898, 0.015370253989237956, 0.015369024539649209, 0.015367794177504737, 0.015366566549504943, 0.015365345322632798, 0.015364134177388203, 0.015362936801166637, 0.015361756881777853, 0.015360598101096112, 0.015359464128829357, 0.015358358616389838, 0.015357285190844422, 0.015356247448918161, 0.01535524895101995, 0.015354293215254538, 0.015353383711380319, 0.015352523854667836, 0.015351716999609142, 0.015350966433423799, 0.015350275369302958, 0.015349646939328903, 0.015349084187003684, 0.015348590059317517, 0.015348167398284705, 0.015347818931873473, 0.015347547264255242, 0.015347354865299666, 0.015347244059243814, 0.015347217012468559, 0.015347275720321357, 0.015347421992934485, 0.015347657440000313, 0.015347983454481684, 0.015348401195256376, 0.015348911568720262, 0.015349515209404488, 0.01535021245969897, 0.01535100334881666, 0.015351887571182162, 0.015352864464482665, 0.015353932987679722, 0.015355091699345442, 0.015356338736755456, 0.015357671796241586, 0.015359088115377291, 0.015360584457635515, 0.015362157100218316, 0.015363801825805904, 0.015365513919005465, 0.015367288168291639, 0.015369118874216678, 0.015370999864623244, 0.015372924517513042, 0.015374885792106774, 0.015376876268473082, 0.015378888195907273, 0.015380913550006764, 0.01538294409812508, 0.015384971472597986, 0.015386987250834334, 0.01538898304106436, 0.01539095057225422, 0.015392881786442473, 0.015394768931549658, 0.015396604652568546, 0.015398382078973361, 0.015400094906198994, 0.015401737469140309, 0.015403304805805072, 0.015404792709516276, 0.015406197768389297, 0.015407517391189555, 0.015408749819090352, 0.015409894123276337, 0.015410950188755157, 0.015411918685128784, 0.015412801025419365, 0.015413599314328237, 0.015414316287521927, 0.015414955243680153, 0.015415519971108108, 0.01541601467071145, 0.015416443877065724, 0.015416812379190658, 0.015417125142476848, 0.015417387233018442, 0.015417603745393709, 0.01541777973471699, 0.015417920153570085, 0.015418029794217896, 0.015418113236328173, 0.015418174800254029, 0.015418218505802618, 0.015418248036306904, 0.015418266707738507, 0.015418277442548794, 0.015418282747899026, 0.015418284697938586, 0.015418284919807675, 0.015418284583076144, 0.015418284392379881], [0.015716642990675246, 0.015716599382483192, 0.015716468660821114, 0.015716251134069631, 0.015715947314994264, 0.015715557918953287, 0.015715083861411318, 0.015714526254780266, 0.015713886404615816, 0.015713165805203214, 0.015712366134570697, 0.01571148924897468, 0.015710537176904727, 0.015709512112660452, 0.015708416409555996, 0.015707252572810929, 0.015706023252188922, 0.015704731234447385, 0.015703379435663467, 0.015701970893502414, 0.015700508759495763, 0.015698996291396594, 0.015697436845680295, 0.015695833870258226, 0.015694190897472284, 0.015692511537437837, 0.015690799471802078, 0.015689058447985019, 0.015687292273969974, 0.015685504813710512, 0.015683699983221805, 0.015681881747424378, 0.015680054117810257, 0.01567822115100307, 0.015676386948286131, 0.015674555656175516, 0.015672731468119282, 0.015670918627408208, 0.015669121431388686, 0.015667344237074568, 0.015665591468260829, 0.015663867624249095, 0.015662177290301952, 0.015660525149949499, 0.015658915999277864, 0.015657354763333079, 0.015655846514775841, 0.015654396494919499, 0.015653010137274936, 0.015651693093708535, 0.015650451263289209, 0.015649290823854273, 0.015648218266254663, 0.015647240431141549, 0.015646364548018356, 0.015645598276094241, 0.015644949746222322, 0.01564442760287196, 0.01564404104464976, 0.015643799861326208, 0.015643714464621001, 0.015643795909126804, 0.015644055898689415, 0.015644506772302141, 0.015645161462122015, 0.015646033414611939, 0.015647136464140204, 0.015648484646775301, 0.015650091940740379, 0.01565197191938952, 0.015654137303125221, 0.015656599399011858, 0.015659367421682134, 0.01566244769723513, 0.01566584276381661, 0.015669550398724752, 0.015673562621795614, 0.015677864747064927, 0.015682434576532178, 0.015687241847123022, 0.015692248049414173, 0.015697406728859442, 0.015702664352805783, 0.015707961778096385, 0.015713236287620926, 0.015718424088135442, 0.015723463088876337, 0.015728295725762655, 0.015732871572360287, 0.015737149493610148, 0.015741099150633237, 0.015744701745271931, 0.015747949985928898, 0.01575084734442872, 0.015753406742419554, 0.015755648846483485, 0.01575760016183711, 0.015759291099494199, 0.015760754158971796, 0.01576202232710891, 0.015763127751374565, 0.015764100708951186, 0.01576496886407985, 0.015765756786559899, 0.015766485693204633, 0.015767173369860148, 0.015767834232373337, 0.015768479488824278, 0.015769117370903911, 0.01576975340840233, 0.015770390726632125, 0.015771030351815738, 0.015771671513818423, 0.015772311939072799, 0.015772948129175617, 0.015773575622552976, 0.015774189237915067, 0.01577478329908498, 0.015775351841302594, 0.015775888799374724, 0.015776388178145317, 0.015776844205757697, 0.015777251470120643, 0.015777605038904245, 0.015777900563301785, 0.015778134365713289, 0.015778303511441976, 0.015778405864448029, 0.015778440127174886, 0.015778446293459002, 0.015778464863163491, 0.01577849604912002, 0.015778540206970438, 0.015778597836567688, 0.015778669583972092, 0.01577875624407888, 0.015778858763924403, 0.015778978246730965, 0.015779115956763984, 0.015779273325090683, 0.015779451956346627, 0.015779653636636137, 0.015779880342715089, 0.015780134252630015, 0.015780417758017872, 0.015780733478304686, 0.015781084277082736, 0.015781473280992983, 0.015781903901496339, 0.015782379859984295, 0.015782905216759346, 0.01578348440451223, 0.015784122267038479, 0.015784824104077499, 0.015785595723328237, 0.015786443500904964, 0.015787374451753617, 0.015788396311866945, 0.015789517634531566, 0.015790747903331868, 0.015792097665254332, 0.015793578688015422, 0.015795204146726298, 0.015796988846272477, 0.015798949487412121, 0.015801104986701262, 0.015803476863098027, 0.015806089707702156, 0.015808971757859946, 0.01581215560324092, 0.015815679060087625, 0.015819586261538374, 0.015823929028011254, 0.015828768604008871, 0.015834177879181798, 0.015840244256350056, 0.015847073393996988, 0.015854794145792564, 0.015863565161323298, 0.015873583826944555, 0.015885098557536906, 0.015898425973638487, 0.015913975344013592, 0.015932284074188958, 0.015954070407440665, 0.015980313700233728, 0.016012380279465353, 0.016052227396973127, 0.016102746638315936, 0.016168368655729928, 0.016256186363689796, 0.016378179863564039, 0.016555988420905571, 0.016832230410321607, 0.01730115297396384, 0.018208177004065278, 0.020372268998089759, 0.027926830256410341, 0.072589175476193701, 0.038460660739807931, 0.020830633904885057, 0.017605439657667935, 0.016587795200553576, 0.016160278192416101, 0.015948247232098055, 0.015831247352865709, 0.015761772329167697, 0.015718288854929038, 0.015690000088039738, 0.015671062033462229, 0.01565811610360401, 0.015649136856152678, 0.015642853656741708, 0.015638442780596444, 0.015635355246244442, 0.015633216466294828, 0.01563176564089348, 0.015630818009788185, 0.015630240700617064, 0.015629936905868221, 0.015629835296356521, 0.015629882804302893, 0.015630039620190824, 0.015630275671492642, 0.015630568110259854, 0.015630899498187769, 0.01563125648067876, 0.015631628808162518, 0.015632008606932153, 0.015632389831213154, 0.015632767848185944, 0.015633139121444348, 0.015633500967955231, 0.015633851370334295, 0.015634188831055763, 0.015634512258666532, 0.015634820878579401, 0.015635114162852147, 0.015635391774710711, 0.015635653524579084, 0.015635899335130224, 0.015636129213438984, 0.015636343228747889, 0.015636541494684318, 0.015636724155019467, 0.015636891372253801, 0.015637043318464289, 0.01563718016796645, 0.01563730209143634, 0.015637409251210429, 0.015637501797538821, 0.015637579865613621, 0.015637643573230945, 0.015637693018975211, 0.015637728280839376, 0.01563774941521489, 0.015637756456203106, 0.01563774941521489, 0.015637728280839373, 0.015637693018975211, 0.015637643573230949, 0.015637579865613635, 0.015637501797538825, 0.015637409251210429, 0.01563730209143634, 0.015637180167966447, 0.015637043318464289, 0.015636891372253797, 0.015636724155019474, 0.015636541494684322, 0.015636343228747889, 0.015636129213438977, 0.015635899335130217, 0.015635653524579091, 0.015635391774710714, 0.015635114162852144, 0.015634820878579401, 0.015634512258666532, 0.015634188831055763, 0.015633851370334295, 0.015633500967955228, 0.015633139121444348, 0.015632767848185947, 0.01563238983121315, 0.015632008606932153, 0.015631628808162525, 0.01563125648067875, 0.015630899498187772, 0.015630568110259858, 0.015630275671492642, 0.015630039620190817, 0.0156298828043029, 0.015629835296356524, 0.015629936905868221, 0.015630240700617068, 0.015630818009788189, 0.01563176564089348, 0.015633216466294824, 0.015635355246244449, 0.015638442780596444, 0.015642853656741708, 0.015649136856152681, 0.015658116103604007, 0.015671062033462222, 0.015690000088039731, 0.015718288854929045, 0.015761772329167634, 0.015831247352865611, 0.015948247232097892, 0.016160278192416146, 0.016587795200553451, 0.017605439657667619, 0.02083063390488939, 0.038460660739821857, 0.072589175476224163, 0.027926830256414389, 0.020372268998093027, 0.018208177004066323, 0.01730115297396366, 0.016832230410321752, 0.01655598842090554, 0.016378179863564039, 0.016256186363689789, 0.016168368655729966, 0.016102746638315946, 0.016052227396973161, 0.016012380279465336, 0.015980313700233735, 0.015954070407440669, 0.015932284074188965, 0.015913975344013582, 0.01589842597363848, 0.015885098557536913, 0.015873583826944565, 0.015863565161323308, 0.015854794145792564, 0.015847073393996991, 0.015840244256350052, 0.015834177879181795, 0.015828768604008871, 0.01582392902801125, 0.015819586261538374, 0.015815679060087632, 0.015812155603240917, 0.015808971757859946, 0.01580608970770216, 0.015803476863098027, 0.015801104986701262, 0.015798949487412121, 0.015796988846272474, 0.015795204146726294, 0.015793578688015422, 0.015792097665254332, 0.015790747903331872, 0.015789517634531569, 0.015788396311866952, 0.015787374451753614, 0.015786443500904968, 0.015785595723328234, 0.015784824104077503, 0.015784122267038483, 0.01578348440451223, 0.015782905216759343, 0.015782379859984291, 0.015781903901496339, 0.01578147328099298, 0.015781084277082736, 0.015780733478304689, 0.015780417758017879, 0.015780134252630019, 0.015779880342715078, 0.015779653636636141, 0.015779451956346616, 0.015779273325090687, 0.01577911595676398, 0.015778978246730961, 0.015778858763924403, 0.015778756244078873, 0.015778669583972092, 0.015778597836567688, 0.015778540206970438, 0.015778496049120017, 0.015778464863163491, 0.015778446293459002, 0.01577844012717489, 0.015778443209136954, 0.015778452476274709, 0.015778467992371065, 0.015778489863825108, 0.015778518239794509, 0.015778553312397043, 0.015778595316973384, 0.01577864453241393, 0.01577870128155312, 0.01577876593163555, 0.015778838894858632, 0.015778920628997668, 0.015779011638119692, 0.015779112473393794, 0.015779223734005997, 0.015779346068188423, 0.015779480174373101, 0.015779626802482443, 0.01577978675536924, 0.015779960890421114, 0.015780150121345371, 0.015780355420152457, 0.015780577819357915, 0.015780818414424979, 0.015781078366472464, 0.015781358905275076, 0.015781661332586766, 0.015781987025820374, 0.015782337442121468, 0.015782714122877881, 0.015783118698711712, 0.015783552895005746, 0.0157840185380227, 0.015784517561682601, 0.015785052015071559, 0.015785624070764781, 0.015786236034056607, 0.015786890353203013, 0.015787589630795344, 0.015788336636400564, 0.015789134320621376, 0.015789985830751072, 0.015790894528222979, 0.015791864008082978, 0.015792898120747394, 0.015794000996347958, 0.015795177072011491, 0.015796431122476567, 0.01579776829451289, 0.015799194145684987, 0.015800714688091261, 0.015802336437815867, 0.01580406647095799, 0.015805912487254947, 0.015807882882498105, 0.015809986831160555, 0.015812234380921334, 0.015814636561094213, 0.015817205507362504, 0.015819954605703568, 0.01582289865897946, 0.015826054080401698, 0.01582943911898738, 0.01583307412325629, 0.015836981850839819, 0.015841187833463267, 0.015845720809033889, 0.015850613235463495, 0.015855901904572492, 0.015861628679226393, 0.015867841383108452, 0.015874594880728482, 0.015881952396098908, 0.015889987132939602, 0.015898784278670336, 0.015908443500768019, 0.015919082080133064, 0.015930838876065688, 0.015943879387438405, 0.015958402273900461, 0.015974647843557281, 0.015992909221389351, 0.016013547220192964, 0.016037010398462784, 0.016063862498284467, 0.016094820563343805, 0.01613080880425204, 0.016173036166887471, 0.016223110406826169, 0.016283209849294263, 0.016356348971217009, 0.016446801656787073, 0.016560799539511534, 0.016707731478677549, 0.016902303250318277, 0.017168650394024931, 0.017548719870618335, 0.018120839593272282, 0.019045431566199898, 0.020694000671812662, 0.024085251030093457, 0.032746061673076365, 0.061532680276384387, 0.092902034450866838, 0.042367307200770546, 0.025451400238740811, 0.020296502741340997, 0.018228987737342866, 0.017228602052018142, 0.016680368458946621, 0.016352659030889748, 0.01614393338671068, 0.016004439976904022, 0.015907652051035802, 0.015838457564592866, 0.01578777676338455, 0.015749910820257586, 0.015721150187119094, 0.015699004549598317, 0.015681757306385539, 0.015668197781101362, 0.015657454859317483, 0.015648890609831306, 0.015642030510046007, 0.01563651663520085, 0.01563207561361326, 0.015628496288632818, 0.015625613889726817, 0.015619977939480324, 0.015617254038648921, 0.015616197534319818, 0.015616115199061861, 0.0156166048112007, 0.015617425341977038, 0.015618428620339474, 0.015619521702014003, 0.015620645350668448, 0.015621761334884458, 0.015622844724162255, 0.015623879108191413, 0.015624853571668844, 0.015625760748023951, 0.015626595549589964, 0.015627354329218548, 0.015628034321058748, 0.015628633264060703, 0.015629149146072462, 0.015629580027860836, 0.01562992392003593, 0.015630178694676523, 0.015630342019245198, 0.015630411304274481, 0.015630383659024541, 0.015630255851366067, 0.015630024269927857, 0.015629684888459915, 0.015629233234884098, 0.015628664371363506, 0.015627972898139064, 0.015627153005028226, 0.015626198614384579, 0.015625103695673787, 0.015623862899812066, 0.01562247279198389, 0.015620934220306838, 0.015619256889132389, 0.015617468345786542, 0.015615632163894843, 0.015613886288643245, 0.015612528507703288, 0.015612221420340994, 0.015614534179084361, 0.015623577524854451, 0.015651970840760643, 0.015750112876286311, 0.016253427758745696, 0.027827512502754302, 0.019617180893817709, 0.016527593020691792, 0.016065867297318008, 0.015905901929624509, 0.01582904252049587, 0.015784990896180389, 0.015756793284154358, 0.015737328070443084, 0.015723137221047873, 0.015712359331901741, 0.015703912112212687, 0.015697127479911092, 0.015691572894008597, 0.015686957221649239, 0.015683078097841533, 0.015679790995627624, 0.015676990277757891, 0.015674597166168654, 0.015672551863606186, 0.015670808252855481, 0.015669330244162644, 0.015668089204530104, 0.01566706211394785, 0.015666230220441113, 0.015665578043967746, 0.015665092628540794, 0.015664762973792431, 0.015664579598155735, 0.015664534199891604, 0.01566461939176585, 0.015664828491811798, 0.015665155357269013, 0.015665594252101803, 0.015666139740887756, 0.015666786603606431, 0.015667529767140306, 0.015668364250254675, 0.015669285119541267, 0.015670287454354649, 0.015671366319187936, 0.015672516742255584, 0.015673733699301647, 0.015675012101847123, 0.015676346789244445, 0.01567773252402864, 0.015679163990151342, 0.015680635793760438, 0.015682142466248838, 0.015683678469344191, 0.015685238202048365, 0.015686816009265366, 0.015688406191977946, 0.015690003018849364, 0.015691600739138223, 0.015693193596821326, 0.015694775845822899, 0.01569634176624957, 0.015697885681528689, 0.015699401976343848, 0.015700885115256663, 0.015702329661897548, 0.015703730298601282, 0.01570508184635622, 0.015706379284928979, 0.015707617773019225, 0.015708792668293895, 0.015709899547144929, 0.015710934224010775, 0.015711892770100908, 0.015712771531360862, 0.015713567145518841, 0.015714276558057412, 0.015714897036960922, 0.015715426186096993, 0.015715861957101174, 0.015716202659646607, 0.015716446969994701, 0.015716593937739338, 0.015716642990675246, 0.015716610285929581, 0.015716512265655912, 0.015716349211450754, 0.015716121591666112, 0.015715830059952928, 0.015715475453235827, 0.015715058789132461, 0.015714581262834825, 0.015714044243472995, 0.015713449269985004, 0.015712798046519549, 0.015712092437400741, 0.015711334461686356, 0.015710526287353026, 0.01570967022514326, 0.015708768722110664, 0.015707824354899834, 0.015706839822798777, 0.01570581794060073, 0.015704761631312503, 0.015703673918745543, 0.01570255792002459, 0.01570141683804778, 0.015700253953929676, 0.015699072619456925, 0.015697876249583971, 0.015696668314993098, 0.015695452334740498, 0.015694231869006765, 0.015693010511966862, 0.015691791884790928, 0.01569057962878375, 0.015689377398666465, 0.015688188856000533, 0.015687017662749297, 0.015685867474968494, 0.015684741936612685, 0.015683644673439981, 0.015682579286992928, 0.015681549348628972, 0.015680558393569025, 0.015679609914928228, 0.015678707357688171, 0.015677854112565295, 0.015677053509725716, 0.015676308812292008, 0.01567562320958359, 0.015674999810028303, 0.015674441633678978, 0.015673951604266181, 0.015673532540715473, 0.015673187148056485, 0.01567291800765027, 0.015672727566662693, 0.015672618126713941, 0.015672591831639129, 0.01567265065430181, 0.015672796382412171, 0.015673030603314961, 0.015673354687729062, 0.01567376977244201, 0.015674276741988992, 0.015674876209376982, 0.015675568495951895, 0.015676353610549441, 0.015677231228119166, 0.015678200668065804, 0.015679260872612122, 0.01568041038555169, 0.015681647331827895, 0.015682969398444234, 0.015684373817279031, 0.0156858573504416, 0.015687416278863109, 0.015689046394860025, 0.015690742999435892, 0.015692500905094383, 0.015694314444917201, 0.015696177488610404, 0.01569808346613839, 0.015700025399442662, 0.015701995942581894, 0.015703987430431294, 0.015705991935845844, 0.015708001334929354, 0.015710007379768291, 0.015712001777695817, 0.015713976275862171, 0.015715922749615734, 0.015717833292960965, 0.015719700309169801, 0.015721516599495923, 0.015723275447886848, 0.015724970699615544, 0.01572659683186271, 0.015728149014472545, 0.015729623159369852, 0.015731015957455283, 0.015732324902170077, 0.015733548299325821, 0.015734685263207027, 0.015735735699355068, 0.015736700274812821, 0.015737580376933579, 0.015738378062123349, 0.015739095996083325, 0.015739737387245861, 0.01574030591515229, 0.015740805655508543, 0.015741241003582269, 0.015741616597482175, 0.015741937242698303, 0.015742207839092033, 0.015742433311318721, 0.015742618543454882, 0.015742768318394957, 0.015742887262388105, 0.015742979794909469, 0.015743050083907077, 0.015743102006337981, 0.015743139113806891, 0.015743164603047019, 0.015743181290935642, 0.015743191593713672, 0.015743197510077727, 0.015743200607831413, 0.01574320201381706, 0.015743202406897711], [0.015819342469939327, 0.015819299340272042, 0.015819170053027052, 0.015818954913116776, 0.015818654427537764, 0.015818269303595481, 0.015817800446441547, 0.015817248955944753, 0.015816616122924027, 0.015815903424776734, 0.015815112520540495, 0.01581424524543237, 0.015813303604913054, 0.015812289768327912, 0.015811206062180051, 0.015810054963094105, 0.015808839090531289, 0.015807561199318802, 0.015806224172058306, 0.015804831011479028, 0.015803384832802532, 0.01580188885618573, 0.015800346399310158, 0.015798760870184236, 0.015797135760226028, 0.015795474637693336, 0.015793781141527491, 0.015792058975677516, 0.01579031190397067, 0.015788543745595823, 0.015786758371266519, 0.015784959700131086, 0.015783151697498759, 0.015781338373452185, 0.015779523782419341, 0.015777712023780255, 0.015775907243588256, 0.015774113637489165, 0.015772335454926917, 0.015770577004729728, 0.01576884266217685, 0.015767136877652008, 0.015765464186996345, 0.015763829223679075, 0.015762236732909333, 0.015760691587815449, 0.015759198807818186, 0.01575776357932002, 0.015756391278821849, 0.01575508749855865, 0.015753858074713415, 0.015752709118218997, 0.015751647048086067, 0.015750678627093222, 0.015749810999534521, 0.015749051730529033, 0.015748408846142356, 0.015747890873235713, 0.015747506877525807, 0.01574726649778678, 0.015747179973433622, 0.015747258161873157, 0.015747512540978469, 0.015747955190829846, 0.015748598747482204, 0.015749456320008334, 0.015750541360517113, 0.015751867475408333, 0.015753448165041338, 0.015755296478608273, 0.015757424571785878, 0.015759843157279713, 0.015762560843349774, 0.015765583363496559, 0.015768912712229594, 0.015772546217403104, 0.015776475598490814, 0.015780686080909184, 0.015785155656388626, 0.015789854594478694, 0.015794745315676921, 0.015799782727428872, 0.015804915096636559, 0.015810085485447774, 0.015815233714316805, 0.015820298745728906, 0.015825221315584989, 0.015829946590591393, 0.015834426610683825, 0.015838622291702346, 0.015842504813768518, 0.0158460562960334, 0.015849269744346674, 0.015852148339218032, 0.0158547041940699, 0.015856956750475569, 0.015858930986404316, 0.015860655599403896, 0.015862161296402999, 0.015863479283639743, 0.015864640011413505, 0.015865672194169275, 0.015866602099771983, 0.015867453083572666, 0.015868245332400856, 0.015868995779499497, 0.0158697181519129, 0.015870423115285241, 0.01587111848603906, 0.015871809486447289, 0.015872499023493296, 0.015873187977223827, 0.015873875488346269, 0.015874559238059905, 0.015875235715588347, 0.015875900470692639, 0.015876548349708378, 0.015877173714482481, 0.01587777064409238, 0.015878333119505317, 0.015878855191452251, 0.015879331131808748, 0.01587975556873716, 0.015880123605781952, 0.015880430925043012, 0.015880673874492612, 0.015880849539456478, 0.015880955798250097, 0.015880991361946539, 0.015880996957739733, 0.015881013813751937, 0.015881042136131684, 0.015881082269299959, 0.015881134697226205, 0.015881200045246992, 0.015881279082460141, 0.015881372724738115, 0.015881482038415596, 0.015881608244719108, 0.015881752725020532, 0.015881917027012263, 0.015882102871919622, 0.015882312162886682, 0.015882546994694897, 0.01588280966500143, 0.015883102687314903, 0.015883428805963478, 0.015883791013352803, 0.015884192569862218, 0.015884637026787659, 0.015885128252810948, 0.015885670464561272, 0.015886268261936998, 0.015886926668980766, 0.015887651181251582, 0.015888447820822195, 0.015889323200255608, 0.015890284597193077, 0.015891340041530783, 0.01589249841759055, 0.015893769584227137, 0.015895164516488959, 0.015896695473302795, 0.015898376196739793, 0.015900222149810714, 0.01590225080153268, 0.015904481970337479, 0.015906938239936753, 0.015909645465772299, 0.015912633395513045, 0.015915936434210069, 0.015919594594396142, 0.015923654684640201, 0.01592817180833345, 0.015933211270005125, 0.015938851022560988, 0.01594518484056098, 0.015952326479828433, 0.015960415194628604, 0.015969623150132388, 0.015980165522242795, 0.015992314473260348, 0.016006418823159105, 0.016022932265978479, 0.01604245470563535, 0.016065794261238019, 0.01609406279944384, 0.01612882767989705, 0.016172361397385683, 0.016228069383689873, 0.016301259219054738, 0.01640060558445158, 0.016541142772019752, 0.016750935869304824, 0.017087719700910543, 0.017687113945728902, 0.018935242174413162, 0.022321000202069747, 0.037439018252342839, 0.078241732052814317, 0.026927306210795261, 0.019030684384944374, 0.017145513000020048, 0.016461837314241678, 0.016151358908516204, 0.01598970115143088, 0.01589754433819076, 0.015841563177549773, 0.015805955053673767, 0.015782524512350404, 0.015766718151702237, 0.015755864190500717, 0.015748324034748701, 0.015743055409792112, 0.015739374809506282, 0.015736822286113766, 0.015735081441217009, 0.015733930471560045, 0.015733211332551265, 0.01573280981293939, 0.015732642366832833, 0.015732647235616473, 0.015732778354238735, 0.015733001100954172, 0.015733289289632718, 0.015733623013319709, 0.015733987079642794, 0.015734369863294725, 0.015734762456081033, 0.015735158031685237, 0.015735551366994255, 0.015735938478680937, 0.015736316345393041, 0.01573668269404976, 0.015737035834511255, 0.01573737453100614, 0.01573769790167278, 0.015738005339732939, 0.015738296451403209, 0.015738571006824058, 0.015738828901160937, 0.015739070123688775, 0.015739294733167243, 0.015739502838190974, 0.015739694581487707, 0.015739870127358759, 0.015740029651628008, 0.015740173333598815, 0.01574030134962259, 0.015740413867964785, 0.015740511044718668, 0.015740593020569165, 0.015740659918250223, 0.015740711840572585, 0.015740748868926593, 0.01574077106218718, 0.015740778455967858, 0.015740771062187183, 0.015740748868926593, 0.015740711840572588, 0.015740659918250223, 0.015740593020569172, 0.015740511044718672, 0.015740413867964792, 0.015740301349622593, 0.015740173333598811, 0.015740029651628008, 0.015739870127358759, 0.015739694581487718, 0.015739502838190974, 0.01573929473316724, 0.015739070123688768, 0.01573882890116093, 0.015738571006824058, 0.015738296451403212, 0.015738005339732939, 0.01573769790167278, 0.015737374531006144, 0.015737035834511262, 0.01573668269404976, 0.015736316345393041, 0.015735938478680933, 0.015735551366994258, 0.015735158031685237, 0.015734762456081033, 0.015734369863294729, 0.015733987079642787, 0.015733623013319712, 0.015733289289632718, 0.015733001100954176, 0.015732778354238731, 0.015732647235616477, 0.01573264236683284, 0.015732809812939393, 0.015733211332551268, 0.015733930471560041, 0.015735081441217005, 0.015736822286113773, 0.015739374809506282, 0.015743055409792112, 0.015748324034748701, 0.015755864190500721, 0.015766718151702233, 0.015782524512350397, 0.015805955053673749, 0.015841563177549787, 0.015897544338190683, 0.015989701151430741, 0.016151358908515961, 0.016461837314241765, 0.017145513000019846, 0.019030684384943819, 0.026927306210806606, 0.078241732052838103, 0.03743901825235571, 0.022321000202071693, 0.018935242174414883, 0.017687113945729575, 0.017087719700910421, 0.016750935869304939, 0.016541142772019721, 0.016400605584451576, 0.016301259219054731, 0.016228069383689904, 0.01617236139738569, 0.016128827679897081, 0.01609406279944383, 0.016065794261238026, 0.01604245470563535, 0.016022932265978482, 0.016006418823159101, 0.015992314473260345, 0.015980165522242795, 0.015969623150132395, 0.015960415194628621, 0.015952326479828437, 0.015945184840560987, 0.015938851022560985, 0.015933211270005125, 0.015928171808333457, 0.015923654684640201, 0.015919594594396146, 0.015915936434210066, 0.015912633395513041, 0.015909645465772306, 0.01590693823993676, 0.015904481970337479, 0.01590225080153268, 0.015900222149810714, 0.015898376196739793, 0.015896695473302799, 0.015895164516488952, 0.015893769584227141, 0.015892498417590554, 0.015891340041530783, 0.015890284597193084, 0.015889323200255604, 0.015888447820822195, 0.015887651181251579, 0.015886926668980762, 0.015886268261937002, 0.015885670464561276, 0.015885128252810951, 0.015884637026787655, 0.015884192569862222, 0.015883791013352796, 0.015883428805963475, 0.015883102687314899, 0.015882809665001434, 0.015882546994694893, 0.015882312162886679, 0.015882102871919629, 0.015881917027012259, 0.015881752725020529, 0.015881608244719108, 0.015881482038415592, 0.015881372724738115, 0.015881279082460138, 0.015881200045246988, 0.015881134697226212, 0.015881082269299955, 0.01588104213613168, 0.015881013813751933, 0.015880996957739729, 0.015880991361946543, 0.015880994158706616, 0.015881002569651567, 0.015881016656800633, 0.0158810365236031, 0.015881062315065024, 0.015881094217928684, 0.015881132460906701, 0.015881177314973419, 0.015881229093716667, 0.015881288153753975, 0.015881354895217588, 0.015881429762313645, 0.015881513243961497, 0.015881605874520196, 0.01588170823460968, 0.015881820952035528, 0.015881944702826965, 0.015882080212399067, 0.015882228256851098, 0.015882389664414645, 0.015882565317066194, 0.015882756152320949, 0.015882963165225954, 0.015883187410572961, 0.015883430005353409, 0.015883692131480383, 0.015883975038805367, 0.015884280048460004, 0.015884608556557388, 0.01588496203829028, 0.015885342052468738, 0.01588575024654388, 0.015886188362170494, 0.015886658241367133, 0.01588716183333945, 0.015887701202040905, 0.01588827853455382, 0.015888896150384677, 0.015889556511779486, 0.015890262235179191, 0.015891016103951137, 0.01589182108255113, 0.015892680332292533, 0.015893597228923396, 0.015894575382242284, 0.015895618658016961, 0.015896731202510263, 0.015897917469963788, 0.015899182253445054, 0.015900530719528072, 0.015901968447353979, 0.015903501472708567, 0.015905136337861447, 0.015906880148039825, 0.015908740635563721, 0.015910726232854229, 0.015912846155748651, 0.015915110498826192, 0.015917530344774455, 0.01592011789022638, 0.015922886590985483, 0.015925851330158138, 0.015929028613454362, 0.015932436796839894, 0.01593609635287295, 0.015940030183501416, 0.015944263988915863, 0.015948826704361711, 0.015953751019759391, 0.015959074000764042, 0.015964837834787582, 0.015971090731874409, 0.015977888018676691, 0.015985293474822301, 0.015993380975696622, 0.016002236525473227, 0.016011960791131721, 0.016022672285103207, 0.016034511395342465, 0.016047645533367166, 0.016062275772651877, 0.01607864549627187, 0.016097051786462164, 0.016117860605503277, 0.016141527294563026, 0.016168624649275723, 0.01619988197660327, 0.016236240369963847, 0.016278932441343711, 0.016329599798489264, 0.016390470303967869, 0.01646463282178065, 0.016556476289883906, 0.016672416478362487, 0.016822148948733961, 0.017020915054088846, 0.017293840275952405, 0.017684833227455288, 0.01827646272384504, 0.019239403943847308, 0.020973896438089872, 0.024596917264137378, 0.0340668218716461, 0.065889891948298321, 0.088626554971552807, 0.039790383289073854, 0.024794001228653814, 0.020109306025664294, 0.018194085766578025, 0.017255824828878039, 0.016737329276457005, 0.016425575221946497, 0.016226167298728382, 0.016092482218349875, 0.015999507265164716, 0.015932923325960507, 0.01588409320736309, 0.015847578373420611, 0.015819829229325382, 0.015798457485522367, 0.015781813734820967, 0.015768732804709928, 0.015758375157819055, 0.015750125253980021, 0.015743524756250658, 0.015738227643358763, 0.015733969434989805, 0.015730545710147717, 0.015723846636469516, 0.015720564535374751, 0.015719215818224993, 0.015718987089699734, 0.015719412414339672, 0.015720215544889053, 0.015721228195311257, 0.015722345640096332, 0.01572350161534676, 0.015724653648946416, 0.015725774240427953, 0.015726845429026595, 0.015727855379393498, 0.015728796198037697, 0.015729662516248133, 0.015730450558956395, 0.015731157526338978, 0.015731781179141705, 0.015732319557890229, 0.015732770790517082, 0.015733132958347683, 0.015733404000293369, 0.015733581641574106, 0.015733663337622619, 0.015733646226828001, 0.015733527088029595, 0.015733302300614017, 0.015732967807129059, 0.015732519081036303, 0.015731951106368512, 0.015731258382966705, 0.015730434983015705, 0.01572947470619588, 0.015728371420412241, 0.015727119749596927, 0.015725716414077974, 0.01572416281618666, 0.015722470058367792, 0.015720668867955232, 0.015718829839097271, 0.015717106541174055, 0.01571583279445184, 0.015715759629348024, 0.015718694593582227, 0.015729486540039944, 0.015763576633240965, 0.015886680384605067, 0.016602950931511134, 0.046337312308631279, 0.018461425796265297, 0.016498100432344263, 0.016129114468925131, 0.015991328402674119, 0.015922587782637363, 0.015882284810092049, 0.015856091485996645, 0.015837811813072328, 0.015824375809732182, 0.015814106159301879, 0.01580601639458103, 0.015799492056588142, 0.015794132404896473, 0.015789666084420801, 0.015785903528621938, 0.015782708775632752, 0.015779982087730494, 0.015777648853084931, 0.015775652281606493, 0.015773948468923233, 0.01577250298187358, 0.015771288446990359, 0.015770282815504518, 0.015769468094179648, 0.015768829402954786, 0.015768354265799211, 0.015768032070602317, 0.015767853653351784, 0.015767810974917532, 0.015767896867689101, 0.015768104835511752, 0.015768428894728841, 0.015768863447249128, 0.015769403178803661, 0.015770042977197644, 0.015770777866573479, 0.015771602954604936, 0.015772513390222939, 0.01577350432999032, 0.015774570911640022, 0.015775708233597193, 0.015776911339544553, 0.015778175207277114, 0.015779494741239831, 0.01578086476825815, 0.01578228003606412, 0.015783735214294034, 0.015785224897692105, 0.015786743611300624, 0.015788285817453188, 0.015789845924415586, 0.015791418296539895, 0.015792997265812878, 0.01579457714469034, 0.015796152240115977, 0.015797716868625893, 0.015799265372441289, 0.015800792136449093, 0.015802291605967037, 0.015803758305184344, 0.015805186856162935, 0.015806571998276963, 0.015807908607961666, 0.015809191718635065, 0.015810416540649287, 0.015811578481122541, 0.015812673163497597, 0.015813696446669061, 0.01581464444351998, 0.015815513538707339, 0.01581630040553874, 0.015817002021785563, 0.015817615684284372, 0.015818139022186439, 0.015818570008725451, 0.015818906971386475, 0.015819148600372861, 0.015819293955284638, 0.015819342469939327, 0.015819310124078313, 0.015819213179483663, 0.015819051914830268, 0.015818826793611192, 0.015818538462696721, 0.015818187750330844, 0.015817775663578296, 0.01581730338523939, 0.015816772270252986, 0.015816183841610872, 0.015815539785810271, 0.015814841947873196, 0.015814092325963907, 0.015813293065637533, 0.015812446453754441, 0.015811554912096328, 0.015810620990720125, 0.015809647361087198, 0.015808636809004292, 0.015807592227412931, 0.015806516609063063, 0.015805413039105418, 0.015804284687635957, 0.015803134802223531, 0.015801966700450032, 0.015800783762490011, 0.015799589423753667, 0.015798387167614503, 0.015797180518239657, 0.015795973033537573, 0.01579476829823407, 0.015793569917084162, 0.015792381508223034, 0.015791206696655662, 0.015790049107880389, 0.015788912361637143, 0.015787800065767434, 0.015786715810167863, 0.015785663160815089, 0.015784645653835222, 0.015783666789586284, 0.015782730026717418, 0.015781838776164285, 0.015780996395035229, 0.015780206180338471, 0.015779471362496168, 0.015778795098587088, 0.015778180465255802, 0.015777630451222862, 0.01577714794932765, 0.015776735748033167, 0.015776396522321087, 0.015776132823904939, 0.01577594707069075, 0.015775841535417175, 0.015775818333412524, 0.015775879409413031, 0.015776026523397487, 0.015776261235406826, 0.01577658488933463, 0.015776998595696447, 0.015777503213412414, 0.01577809933066928, 0.015778787244965248, 0.015779566942484315, 0.0157804380769953, 0.015781399948525329, 0.015782451482116981, 0.015783591207041685, 0.015784817236908472, 0.015786127251174131, 0.015787518478626573, 0.015788987683474195, 0.015790531154726634, 0.015792144699593259, 0.015793823641648771, 0.01579556282451796, 0.015797356621807167, 0.015799198953955443, 0.015801083312589358, 0.015803002792840023, 0.015804950133917643, 0.01580691776803967, 0.01580889787757625, 0.015810882460017404, 0.01581286340008926, 0.015814832548061323, 0.015816781803008471, 0.0158187031995322, 0.015820588996222008, 0.015822431763963783, 0.015824224472089827, 0.01582596057032571, 0.015827634064528192, 0.015829239584327873, 0.015830772440988225, 0.015832228674059961, 0.015833605085736242, 0.015834899262182602, 0.015836109581508721, 0.015837235208447733, 0.015838276076192842, 0.015839232856193836, 0.015840106917021736, 0.015840900273657362, 0.01584161552874112, 0.015842255807433408, 0.015842824687579308, 0.015843326126850632, 0.015843764388461863, 0.015844143966932026, 0.015844469515204313, 0.015844745774249401, 0.01584497750607862, 0.015845169430889691, 0.01584532616886912, 0.015845452186989489, 0.015845551750972194, 0.015845628882441048, 0.015845687321171493, 0.015845730492246159, 0.015845761477858475, 0.015845782993463016, 0.01584579736795003, 0.015845806527522613, 0.015845811982973242, 0.015845814820090461, 0.015845815692973726], [0.015779404864435104, 0.015779362271934987, 0.015779234594888936, 0.015779022134305785, 0.015778725390689852, 0.015778345062286276, 0.015777882042646792, 0.01577733741753716, 0.015776712461214183, 0.015776008632105296, 0.015775227567928825, 0.015774371080298111, 0.015773441148856981, 0.015772439914997799, 0.015771369675216886, 0.015770232874165437, 0.015769032097455993, 0.015767770064286972, 0.015766449619949365, 0.015765073728280659, 0.015763645464132271, 0.015762168005916552, 0.015760644628300659, 0.015759078695113487, 0.0157574736525323, 0.015755833022615445, 0.015754160397246631, 0.015752459432556862, 0.015750733843889152, 0.015748987401371782, 0.01574722392616611, 0.015745447287455302, 0.015743661400242109, 0.015741870224024863, 0.015740077762423574, 0.01573828806383008, 0.015736505223160523, 0.015734733384791581, 0.015732976746766943, 0.015731239566365594, 0.015729526167128905, 0.015727840947449268, 0.01572618839082876, 0.015724573077921137, 0.015722999700474676, 0.01572147307729492, 0.015719998172345588, 0.01571858011509962, 0.015717224223239911, 0.015715936027787487, 0.015714721300699976, 0.015713586084931504, 0.015712536726870337, 0.015711579910966025, 0.01571072269621417, 0.015709972553973817, 0.015709337406336604, 0.015708825663932356, 0.015708446261626093, 0.015708208690016066, 0.015708123019962637, 0.015708199916544735, 0.015708450637842233, 0.015708887012775737, 0.015709521390918448, 0.015710366555773039, 0.015711435591574376, 0.015712741692388902, 0.015714297901374772, 0.015716116767880053, 0.015718209911044508, 0.015720587481289759, 0.015723257516162912, 0.015726225195051076, 0.01572949200876116, 0.015733054874934097, 0.015736905248160779, 0.015741028292980339, 0.015745402206030497, 0.015749997786715191, 0.015754778359326184, 0.015759700139124078, 0.015764713107275317, 0.01576976241432556, 0.015774790272583217, 0.015779738232223301, 0.015784549675345209, 0.015789172318992035, 0.015793560502566945, 0.015797677052317109, 0.015801494563749439, 0.01580499601332087, 0.015808174690251982, 0.015811033513526883, 0.015813583856258355, 0.015815844032774293, 0.015817837611890814, 0.015819591706583907, 0.015821135362307188, 0.015822498131021562, 0.015823708882235495, 0.015824794870786009, 0.015825781056388485, 0.015826689652956367, 0.015827539875810665, 0.015828347850873486, 0.015829126650196073, 0.015829886421196482, 0.015830634581501205, 0.01583137605634298, 0.015832113540413993, 0.015832847770523444, 0.015833577799172004, 0.015834301262183621, 0.015835014635864078, 0.015835713480869748, 0.015836392671174208, 0.015837046607321763, 0.015837669413653582, 0.01583825511947088, 0.015838797824229228, 0.01583929184689465, 0.015839731859575618, 0.015840113005505255, 0.015840431001402963, 0.0158406822242061, 0.015840863782135426, 0.015840973570044097, 0.015841010308998101, 0.01584101535603364, 0.015841030563667882, 0.01584105613171179, 0.015841092393947962, 0.015841139819291743, 0.0158411990134463, 0.015841270721081959, 0.015841355828579845, 0.015841455367390424, 0.015841570518069212, 0.015841702615064939, 0.015841853152349886, 0.01584202378999857, 0.015842216361839842, 0.015842432884328437, 0.015842675566807282, 0.015842946823359579, 0.015843249286483771, 0.015843585822862338, 0.015843959551541668, 0.015844373864893836, 0.015844832452794857, 0.015845339330530762, 0.015845898871034061, 0.015846515842163462, 0.01584719544987356, 0.015847943388283617, 0.015848765897853407, 0.015849669833118189, 0.01585066274173684, 0.01585175295698071, 0.015852949706257946, 0.015854263238852941, 0.015855704976798151, 0.015857287693731566, 0.01585902572778633, 0.015860935236092343, 0.015863034500451206, 0.015865344296326259, 0.015867888340674395, 0.015870693838622892, 0.015873792154964355, 0.015877219644476474, 0.015881018685988773, 0.015885238980100889, 0.015889939191248561, 0.015895189044006341, 0.01590107202502267, 0.015907688901803378, 0.015915162357040876, 0.015923643167162695, 0.015933318550233003, 0.015944423610915623, 0.015957257285879496, 0.015972204957904922, 0.015989771167955077, 0.016010627991900762, 0.016035688385703378, 0.016066220569180355, 0.016104032264822335, 0.016151778735003258, 0.016213500766724571, 0.016295614113868137, 0.016408846218499775, 0.01657232895033214, 0.016823125051423048, 0.017241380351840981, 0.018029182340240226, 0.019827830790832213, 0.02560781779579116, 0.059013017988650489, 0.046531988379354294, 0.021910550395099274, 0.017908581210983123, 0.016731965352093373, 0.016256458738796685, 0.016026309987615402, 0.015901448438878463, 0.01582824150835151, 0.015782883868076487, 0.015753626064577489, 0.01573418645167976, 0.015720990775604245, 0.015711901344129392, 0.015705586533767378, 0.015701188350283626, 0.015698138056432373, 0.015696049464527368, 0.015694654886334432, 0.015693765457571417, 0.015693245876554428, 0.015692997926996639, 0.015692949498034507, 0.015693047126691666, 0.015693250845596113, 0.015693530568312113, 0.015693863518035134, 0.015694232375392587, 0.01569462392895277, 0.015695028081753371, 0.015695437112979927, 0.015695845124511734, 0.015696247622766207, 0.015696641200486017, 0.015697023292987444, 0.015697391990325722, 0.015697745891760307, 0.015698083992436346, 0.015698405594756625, 0.015698710238786176, 0.015698997647406926, 0.015699267682959598, 0.015699520312872733, 0.015699755582352103, 0.015699973592637816, 0.015700174483667735, 0.015700358420239011, 0.015700525580955159, 0.01570067614939772, 0.015700810307079153, 0.015700928227826677, 0.015701030073319178, 0.015701115989557632, 0.015701186104095544, 0.015701240523893229, 0.01570127933369056, 0.015701302594817879, 0.015701310344386394, 0.015701302594817879, 0.015701279333690563, 0.015701240523893229, 0.015701186104095547, 0.015701115989557639, 0.015701030073319182, 0.015700928227826684, 0.015700810307079153, 0.015700676149397713, 0.015700525580955159, 0.015700358420239008, 0.015700174483667746, 0.01569997359263782, 0.015699755582352103, 0.015699520312872736, 0.015699267682959595, 0.01569899764740694, 0.015698710238786179, 0.015698405594756621, 0.015698083992436346, 0.01569774589176031, 0.015697391990325722, 0.015697023292987444, 0.015696641200486017, 0.015696247622766207, 0.015695845124511734, 0.015695437112979924, 0.015695028081753368, 0.015694623928952774, 0.015694232375392584, 0.015693863518035134, 0.015693530568312113, 0.015693250845596116, 0.015693047126691666, 0.015692949498034518, 0.015692997926996636, 0.015693245876554428, 0.01569376545757142, 0.015694654886334435, 0.015696049464527365, 0.015698138056432377, 0.01570118835028363, 0.015705586533767375, 0.015711901344129395, 0.015720990775604241, 0.015734186451679753, 0.015753626064577489, 0.015782883868076469, 0.015828241508351527, 0.015901448438878356, 0.016026309987615214, 0.016256458738796335, 0.016731965352093495, 0.017908581210982724, 0.021910550395097733, 0.046531988379395824, 0.059013017988628819, 0.02560781779579558, 0.019827830790833112, 0.018029182340241243, 0.017241380351841445, 0.016823125051422951, 0.016572328950332223, 0.016408846218499751, 0.016295614113868137, 0.016213500766724565, 0.016151778735003293, 0.016104032264822342, 0.016066220569180376, 0.016035688385703364, 0.016010627991900766, 0.015989771167955073, 0.015972204957904922, 0.015957257285879489, 0.015944423610915616, 0.015933318550233014, 0.015923643167162705, 0.015915162357040883, 0.015907688901803378, 0.015901072025022677, 0.01589518904400633, 0.015889939191248561, 0.015885238980100889, 0.015881018685988773, 0.015877219644476477, 0.015873792154964355, 0.015870693838622892, 0.015867888340674395, 0.015865344296326266, 0.015863034500451206, 0.01586093523609234, 0.015859025727786327, 0.01585728769373157, 0.015855704976798151, 0.015854263238852938, 0.015852949706257946, 0.015851752956980714, 0.01585066274173684, 0.015849669833118193, 0.015848765897853407, 0.015847943388283624, 0.015847195449873556, 0.015846515842163462, 0.015845898871034061, 0.015845339330530762, 0.01584483245279485, 0.015844373864893832, 0.015843959551541668, 0.015843585822862327, 0.015843249286483771, 0.015842946823359579, 0.015842675566807279, 0.01584243288432844, 0.015842216361839835, 0.01584202378999857, 0.015841853152349879, 0.015841702615064939, 0.015841570518069208, 0.015841455367390421, 0.015841355828579849, 0.015841270721081956, 0.0158411990134463, 0.015841139819291743, 0.015841092393947962, 0.015841056131711787, 0.015841030563667882, 0.015841015356033637, 0.015841010308998104, 0.015841012831420205, 0.015841020418790118, 0.015841033131440911, 0.015841051070002055, 0.015841074375511875, 0.015841103229576738, 0.015841137854579031, 0.015841178513935929, 0.015841225512412321, 0.01584127919649124, 0.015841339954806005, 0.015841408218638997, 0.015841484462492627, 0.015841569204738844, 0.015841663008354292, 0.015841766481749259, 0.015841880279699263, 0.015842005104389427, 0.015842141706582758, 0.015842290886924636, 0.015842453497397258, 0.015842630442939303, 0.015842822683247472, 0.015843031234778569, 0.015843257172972722, 0.015843501634720293, 0.015843765821098043, 0.015844051000401871, 0.015844358511507745, 0.015844689767594591, 0.015845046260267628, 0.015845429564124575, 0.015845841341812068, 0.015846283349625248, 0.015846757443709593, 0.01584726558693144, 0.015847809856491511, 0.015848392452365384, 0.015849015706665116, 0.015849682094028927, 0.015850394243159545, 0.015851154949648245, 0.015851967190240599, 0.015852834138721083, 0.015853759183619861, 0.015854745947973585, 0.015855798311406995, 0.015856920434842017, 0.015858116788188017, 0.015859392181422446, 0.015860751799536249, 0.015862201241895572, 0.015863746566662951, 0.015865394341029845, 0.015867151698142488, 0.015869026401758659, 0.015871026919859515, 0.015873162508666709, 0.015875443308786995, 0.01587788045553868, 0.015880486205918191, 0.015883274085160416, 0.015886259056456086, 0.015889457718142621, 0.015892888533620798, 0.015896572100417446, 0.015900531466280402, 0.015904792502041232, 0.015909384343328808, 0.015914339916213792, 0.015919696565715794, 0.015925496811087497, 0.015931789258282356, 0.015938629708534789, 0.015946082513258103, 0.015954222240512041, 0.015963135738547695, 0.015972924709467665, 0.015983708943832907, 0.015995630419495456, 0.016008858541561539, 0.016023596905029875, 0.016040092112358944, 0.016058645398407928, 0.016079628141923305, 0.016103502835766378, 0.016130851845769619, 0.01616241747605885, 0.016199158762509651, 0.016242333541803041, 0.016293619615005212, 0.016355297984082112, 0.016430537597105613, 0.016523851748241777, 0.016641856110279084, 0.016794580868375947, 0.016997855065776519, 0.017277897782095059, 0.017680802305232286, 0.018293908111037569, 0.019299573377724207, 0.02113134162986376, 0.025022736832276782, 0.035456987273190077, 0.070690499956977945, 0.08321574065413663, 0.037268810885263036, 0.024031687776633229, 0.019787156885034518, 0.018018114070343042, 0.017140532622462696, 0.016651441519883632, 0.016355605318862442, 0.016165555784827364, 0.016037734561919603, 0.01594862456172854, 0.015884695139174287, 0.015837751549388747, 0.0158026166515608, 0.015775902091585171, 0.015755322758391945, 0.015739297387745817, 0.015726707064794211, 0.015716744419749209, 0.015708816764157162, 0.015702482306411948, 0.015697407210540266, 0.015693336109486224, 0.015685377204797561, 0.015681440173133082, 0.0156797496117578, 0.015679348328661614, 0.015679695403864036, 0.015680473710100826, 0.015681491883134085, 0.015682631814374466, 0.015683819324925779, 0.015685007201807367, 0.015686165089988314, 0.015687273316218189, 0.015688319033883989, 0.015689293772711773, 0.015690191857351838, 0.01569100937342241, 0.015691743483931347, 0.015692391972808063, 0.015692952937039983, 0.015693424576576992, 0.015693805048571062, 0.01569409236364552, 0.015694284309125724, 0.01569437838897628, 0.015694371773513457, 0.015694261254432931, 0.015694043202805062, 0.015693713529913358, 0.01569326765372123, 0.015692700478205895, 0.015692006400240936, 0.015691179371733182, 0.0156902130681776, 0.01568910125806177, 0.015687838549344614, 0.015686421848219865, 0.015684853184640957, 0.015683145225334608, 0.015681332250208287, 0.015679492723947155, 0.015677797857833291, 0.015676622599224803, 0.015676820454803442, 0.015680481165880236, 0.015693354640538313, 0.015734495844069048, 0.015890982834290666, 0.016955913832941323, 0.061746069339518601, 0.017691022866248619, 0.016355986217931912, 0.016055869680210617, 0.01593623327534242, 0.015874472854263473, 0.015837491302890069, 0.015813110263613078, 0.015795918338673155, 0.015783182560052601, 0.015773388385921832, 0.015765635263103647, 0.015759357344790267, 0.015754182980597244, 0.015749859043545276, 0.015746207837556092, 0.0157431013878425, 0.015740445483805807, 0.015738169432772411, 0.015736219283633512, 0.01573455322777615, 0.015733138405497352, 0.015731948642807397, 0.015730962818148508, 0.015730163664333736, 0.01572953687676687, 0.015729070440847308, 0.015728754118658341, 0.015728579053056507, 0.015728537459431136, 0.015728622383732172, 0.015728827511159695, 0.015729147013996823, 0.015729575429990279, 0.015730107564797022, 0.015730738413562449, 0.015731463097840351, 0.0157322768149195, 0.015733174797267605, 0.015734152280294119, 0.015735204477010829, 0.015736326558461033, 0.015737513639015755, 0.015738760765814059, 0.015740062911765287, 0.015741414971642859, 0.015742811760887793, 0.015744248016810704, 0.015745718401936989, 0.015747217509284241, 0.015748739869395425, 0.015750279958978326, 0.015751832211021857, 0.015753391026274537, 0.015754950785980604, 0.015756505865775539, 0.015758050650645221, 0.015759579550853851, 0.015761087018743087, 0.015762567566301164, 0.015764015783395532, 0.015765426356556152, 0.015766794088189481, 0.015768113916096213, 0.01576938093315854, 0.015770590407055817, 0.015771737799861765, 0.015772818787371159, 0.015773829278000379, 0.015774765431104398, 0.01577562367455174, 0.015776400721401598, 0.015777093585530286, 0.015777699596060471, 0.015778216410454703, 0.015778642026144769, 0.015778974790581216, 0.015779213409600989, 0.015779356954027522, 0.015779404864435104, 0.015779372921439782, 0.015779277184349141, 0.015779117928562549, 0.015778895612126229, 0.015778610874310685, 0.015778264533632819, 0.015777857585335665, 0.015777391198342719, 0.015776866711707024, 0.015776285630578018, 0.015775649621712493, 0.015774960508558044, 0.01577422026593989, 0.01577343101438379, 0.015772595014109051, 0.015771714658727305, 0.015770792468682578, 0.015769831084469683, 0.015768833259666909, 0.015767801853819197, 0.015766739825207092, 0.015765650223535415, 0.015764536182574625, 0.015763400912785323, 0.015762247693954897, 0.015761079867872646, 0.015759900831066865, 0.015758714027624837, 0.015757522942113085, 0.015756331092612409, 0.01575514202387808, 0.015753959300632385, 0.015752786500992402, 0.015751627210032346, 0.015750485013475174, 0.015749363491504197, 0.015748266212681262, 0.015747196727953192, 0.015746158564724083, 0.015745155220966409, 0.0157441901593392, 0.015743266801277161, 0.015742388521009971, 0.015741558639466299, 0.015740780418013172, 0.015740057051976432, 0.015739391663884494, 0.015738787296373728, 0.015738246904690476, 0.015737773348722051, 0.015737369384487158, 0.015737037655014999, 0.01573678068054251, 0.015736600847960764, 0.01573650039944471, 0.015736481420205919, 0.01573654582531581, 0.015736695345557595, 0.015736931512279204, 0.015737255641237562, 0.015737668815446547, 0.015738171867068298, 0.015738765358419247, 0.015739449562200161, 0.015740224441102322, 0.015741089626991028, 0.015742044399921436, 0.015743087667300634, 0.015744217943572399, 0.015745433330866056, 0.015746731501115867, 0.015748109680220862, 0.015749564634872773, 0.015751092662729282, 0.015752689586646069, 0.015754350753700411, 0.015756071039736586, 0.01575784486013437, 0.015759666187442588, 0.015761528576426598, 0.015763425196950044, 0.015765348874945788, 0.015767292141531393, 0.015769247290093602, 0.015771206440910856, 0.015773161612611712, 0.015775104799490548, 0.015777028053434256, 0.015778923568967273, 0.015780783769713029, 0.0157826013944104, 0.015784369580526748, 0.015786081943482948, 0.015787732649556893, 0.015789316480660211, 0.015790828889386273, 0.015792266042996248, 0.015793624855333904, 0.015794903006020773, 0.015796098946666226, 0.015797211894211544, 0.015798241811894709, 0.015799189378658388, 0.015800055948111159, 0.015800843498382604, 0.015801554574378995, 0.015802192224045317, 0.015802759930273389, 0.015803261540068111, 0.015803701192503447, 0.015804083246874531, 0.015804412212293725, 0.015804692679797065, 0.015804929257833691, 0.015805126511814607, 0.015805288908206715, 0.015805420763480352, 0.015805526198058955, 0.015805609095281906, 0.015805673065277612, 0.015805721413555494, 0.015805757114061257, 0.015805782786400074, 0.015805800676913409, 0.015805812643297508, 0.015805820142470065, 0.015805824221424951, 0.015805825510861002], [0.015649745329751809, 0.015649703277711789, 0.015649577220724312, 0.01564936745583739, 0.015649074476968353, 0.015648698973170661, 0.015648241826229523, 0.015647704107607401, 0.015647087074766995, 0.015646392166904527, 0.015645621000130935, 0.015644775362143874, 0.015643857206437527, 0.015642868646101, 0.015641811947259669, 0.015640689522216845, 0.015639503922355538, 0.015638257830862017, 0.015636954055334797, 0.015635595520343389, 0.015634185260002535, 0.015632726410627351, 0.015631222203535931, 0.015629675958064956, 0.015628091074864431, 0.0156264710295369, 0.015624819366686341, 0.015623139694441714, 0.015621435679519867, 0.015619711042892528, 0.01561796955612278, 0.015616215038436345, 0.01561445135459498, 0.015612682413640038, 0.015610912168576921, 0.01560914461707315, 0.015607383803246623, 0.01560563382062401, 0.015603898816353472, 0.015602182996761067, 0.015600490634344953, 0.015598826076306683, 0.015597193754724195, 0.015595598198474957, 0.015594044047021055, 0.015592536066168601, 0.015591079165911528, 0.015589678420462267, 0.015588339090557497, 0.01558706664810351, 0.015585866803188408, 0.015584745533434505, 0.015583709115586509, 0.015582764159124293, 0.01558191764154246, 0.015581176944744188, 0.01558054989173939, 0.015580044782503535, 0.015579670427426449, 0.015579436176241763, 0.015579351939660341, 0.01557942820011805, 0.015579676007080561, 0.015580106951226854, 0.015580733110579096, 0.015581566960311466, 0.01558262123664968, 0.015583908744123231, 0.015585442094691036, 0.015587233367259284, 0.015589293677283596, 0.015591632649024318, 0.015594257788185085, 0.015597173760659212, 0.015600381594309019, 0.015603877835099464, 0.015607653705857327, 0.015611694333901863, 0.015615978130214866, 0.015620476414106811, 0.015625153379285172, 0.015629966485810977, 0.01563486733495132, 0.015639803040362516, 0.01564471805301396, 0.01564955633634179, 0.015654263732816594, 0.015658790324714754, 0.015663092579555875, 0.015667135088687098, 0.015670891753703762, 0.015674346341506835, 0.015677492402524352, 0.015680332614903651, 0.015682877669678595, 0.015685144841972663, 0.015687156400345473, 0.015688937993904438, 0.015690517130893537, 0.015691921829977126, 0.015693179492402783, 0.015694316014017887, 0.015695355133178379, 0.015696317994682671, 0.015697222900529315, 0.015698085214371698, 0.015698917386599218, 0.015699729069628122, 0.015700527297065087, 0.015701316705027148, 0.015702099778454909, 0.015702877109376161, 0.015703647657579926, 0.015704409006993238, 0.015705157613242451, 0.015705889039501569, 0.015706598178876506, 0.015707279462344848, 0.01570792705175628, 0.015708535017680131, 0.015709097502027831, 0.015709608865432562, 0.015710063819372382, 0.015710457543005485, 0.015710785784662597, 0.015711044947922938, 0.015711232162190582, 0.015711345337688781, 0.015711383204799097, 0.015711387724546385, 0.015711401348361364, 0.015711424270170669, 0.015711456813879997, 0.015711499434429451, 0.015711552719298097, 0.015711617390485547, 0.015711694307007296, 0.01571178446795032, 0.015711889016146136, 0.01571200924253054, 0.015712146591272479, 0.015712302665769704, 0.015712479235626152, 0.015712678244745048, 0.01571290182069511, 0.015713152285532127, 0.015713432168289229, 0.01571374421938353, 0.015714091427228273, 0.015714477037388069, 0.015714904574671715, 0.01571537786862582, 0.015715901082973639, 0.015716478749641705, 0.015717115808135264, 0.015717817651167247, 0.015718590177620832, 0.01571943985414016, 0.015720373786908767, 0.015721399805501812, 0.015722526561105551, 0.015723763641905992, 0.015725121709087769, 0.015726612657692492, 0.015728249807612591, 0.015730048131311153, 0.015732024526549912, 0.015734198144601572, 0.015736590787287737, 0.015739227389954723, 0.015742136612503673, 0.015745351567289099, 0.015748910721748933, 0.015752859025974484, 0.015757249332449614, 0.015762144198921909, 0.015767618198861598, 0.015773760911848848, 0.015780680835651553, 0.015788510563934488, 0.015797413726414695, 0.015807594421114565, 0.015819310229960092, 0.01583289048265428, 0.015848762365600049, 0.015867489026243832, 0.015889826489766258, 0.015916810933401811, 0.015949896562310134, 0.015991181018661829, 0.016043788851342781, 0.016112555111171722, 0.016205313884114062, 0.016335497386376931, 0.016527838946448655, 0.016832307463185949, 0.0173633754065417, 0.018435073117547562, 0.021187294238009673, 0.032279308864130787, 0.082923185314207601, 0.029776200021327012, 0.019361234474849304, 0.017116702702868278, 0.01634438862941839, 0.016004249808867742, 0.015830692820357109, 0.015733182401884916, 0.015674610664322658, 0.015637695473331593, 0.015613596802174402, 0.015597456662057144, 0.015586450037501984, 0.015578857384635748, 0.015573592005806257, 0.015569945296459581, 0.015567442825082206, 0.015565759721614236, 0.015564669201814799, 0.015564010306798479, 0.015563667152525074, 0.015563555273173671, 0.015563612448468395, 0.015563792429780248, 0.01556406057843774, 0.015564390788605406, 0.01556476328742868, 0.015565163043322805, 0.015565578601637948, 0.015566001224438668, 0.015566424249179795, 0.01556684260660759, 0.015567252455609961, 0.015567650904736377, 0.015568035798480071, 0.015568405552323687, 0.015568759024761836, 0.015569095417546315, 0.015569414197602544, 0.015569715035679504, 0.015569997757986653, 0.01557026230795806, 0.015570508715947694, 0.015570737075160922, 0.015570947522507305, 0.015571140223349902, 0.015571315359349578, 0.015571473118774611, 0.015571613688779932, 0.015571737249264783, 0.015571843967999478, 0.015571933996777403, 0.015572007468399774, 0.015572064494342548, 0.015572105162989017, 0.015572129538339492, 0.015572137659133378, 0.01557212953833949, 0.015572105162989016, 0.015572064494342546, 0.01557200746839978, 0.015571933996777412, 0.015571843967999478, 0.015571737249264788, 0.015571613688779937, 0.015571473118774607, 0.01557131535934958, 0.015571140223349902, 0.015570947522507308, 0.015570737075160924, 0.015570508715947689, 0.015570262307958056, 0.015569997757986651, 0.015569715035679506, 0.015569414197602547, 0.015569095417546308, 0.015568759024761836, 0.015568405552323692, 0.015568035798480075, 0.015567650904736382, 0.015567252455609954, 0.015566842606607586, 0.015566424249179799, 0.015566001224438665, 0.015565578601637946, 0.015565163043322817, 0.01556476328742867, 0.015564390788605408, 0.015564060578437736, 0.015563792429780246, 0.015563612448468392, 0.015563555273173676, 0.015563667152525077, 0.015564010306798473, 0.015564669201814799, 0.015565759721614241, 0.015567442825082201, 0.015569945296459584, 0.015573592005806255, 0.015578857384635745, 0.015586450037501986, 0.015597456662057139, 0.015613596802174399, 0.015637695473331582, 0.015674610664322641, 0.015733182401884933, 0.01583069282035697, 0.016004249808867478, 0.016344388629417859, 0.017116702702868494, 0.019361234474848499, 0.029776200021322929, 0.082923185314207684, 0.032279308864123744, 0.0211872942380117, 0.018435073117548072, 0.01736337540654238, 0.016832307463186261, 0.016527838946448593, 0.016335497386377001, 0.016205313884114041, 0.016112555111171725, 0.01604378885134277, 0.015991181018661853, 0.015949896562310138, 0.015916810933401832, 0.015889826489766244, 0.015867489026243835, 0.015848762365600049, 0.015832890482654283, 0.015819310229960089, 0.015807594421114561, 0.015797413726414702, 0.015788510563934495, 0.015780680835651564, 0.015773760911848848, 0.015767618198861601, 0.015762144198921905, 0.015757249332449614, 0.015752859025974481, 0.015748910721748933, 0.015745351567289092, 0.015742136612503673, 0.015739227389954719, 0.01573659078728774, 0.015734198144601579, 0.015732024526549912, 0.015730048131311153, 0.015728249807612591, 0.015726612657692495, 0.015725121709087769, 0.015723763641905992, 0.015722526561105555, 0.015721399805501815, 0.01572037378690877, 0.01571943985414016, 0.015718590177620829, 0.015717817651167251, 0.015717115808135264, 0.015716478749641709, 0.015715901082973639, 0.01571537786862582, 0.015714904574671711, 0.015714477037388066, 0.01571409142722827, 0.01571374421938352, 0.015713432168289229, 0.015713152285532127, 0.015712901820695114, 0.015712678244745048, 0.015712479235626145, 0.015712302665769708, 0.015712146591272472, 0.015712009242530543, 0.015711889016146136, 0.01571178446795032, 0.0157116943070073, 0.015711617390485547, 0.015711552719298097, 0.015711499434429451, 0.015711456813879997, 0.015711424270170665, 0.01571140134836136, 0.015711387724546381, 0.0157113832047991, 0.015711385463614988, 0.015711392259644984, 0.015711403651655714, 0.015711419737657207, 0.015711440655002164, 0.015711466580526599, 0.015711497730733683, 0.015711534362022724, 0.015711576770966205, 0.01571162529463822, 0.015711680310997969, 0.015711742239333006, 0.01571181154076725, 0.015711888718839769, 0.015711974320160756, 0.015712068935152299, 0.015712173198882101, 0.015712287791999565, 0.015712413441784343, 0.015712550923318937, 0.015712701060797807, 0.015712864728987194, 0.015713042854850822, 0.015713236419358827, 0.015713446459498594, 0.015713674070508336, 0.015713920408356695, 0.015714186692493377, 0.015714474208899529, 0.015714784313468774, 0.01571511843575368, 0.015715478083116165, 0.015715864845324737, 0.015716280399646287, 0.015716726516485681, 0.015717205065632966, 0.0157177180231848, 0.015718267479215224, 0.01571885564628013, 0.015719484868850584, 0.015720157633782459, 0.015720876581944019, 0.015721644521139652, 0.015722464440486635, 0.015723339526424032, 0.015724273180558197, 0.015725269039579083, 0.01572633099751624, 0.015727463230643998, 0.015728670225392701, 0.015729956809679202, 0.01573132818813535, 0.015732789981791728, 0.015734348272866155, 0.015736009655416799, 0.015737781292751434, 0.0157396709826415, 0.015741687231579645, 0.015743839339546973, 0.01574613749703356, 0.015748592896391325, 0.015751217860008562, 0.015754025988298323, 0.015757032331111046, 0.015760253586947312, 0.015763708335297014, 0.01576741730861865, 0.015771403711962815, 0.015775693600126008, 0.015780316324610133, 0.015785305065715977, 0.015790697469024069, 0.015796536410597733, 0.015802870921867794, 0.015809757313861538, 0.015817260551961792, 0.015825455947770725, 0.015834431255387148, 0.015844289287610652, 0.01585515120634394, 0.015867160695305228, 0.015880489298827363, 0.015895343318187229, 0.015911972812176916, 0.015930683475795779, 0.015951852508531778, 0.015975950093956054, 0.016003568897941783, 0.016035465226942686, 0.016072617469916062, 0.016116310709735283, 0.016168261906361191, 0.016230809668147366, 0.016307209960765012, 0.016402111573320215, 0.016522348703125592, 0.016678318779142012, 0.016886498934586252, 0.017174321425301634, 0.017590321258168309, 0.018227221320971508, 0.019280731763594322, 0.021223120750594338, 0.025426670337031811, 0.037014876386909805, 0.075917525493463908, 0.077012548222772273, 0.034864267247959144, 0.023221473504912282, 0.019385145375152821, 0.01775502678123473, 0.016936113898145505, 0.016475803385042294, 0.016195690292019647, 0.016014950486209961, 0.015892996035335682, 0.015807771246483533, 0.015746520991541203, 0.015701488082264677, 0.015667755071060621, 0.015642094425313297, 0.015622324296369847, 0.015606931823967779, 0.015594844652853157, 0.015585287869133397, 0.015577691891612788, 0.015571631692800911, 0.015566785806178939, 0.015557337130218441, 0.015552637705492032, 0.015550553765784585, 0.015549955407623262, 0.015550213275224899, 0.015550962763286203, 0.015551986058468895, 0.015553149894170556, 0.015554371222764998, 0.015555597572846106, 0.015556795454701636, 0.015557943334058721, 0.015559027278196792, 0.015560038206574676, 0.015560970126715553, 0.015561818986876509, 0.015562581921178646, 0.015563256747801147, 0.01556384163199466, 0.015564334857090974, 0.015564734666336703, 0.015565039150874843, 0.015565246167284105, 0.015565353273434442, 0.015565357675088652, 0.015565256178388926, 0.015565045145662346, 0.015564720454375555, 0.015564277462192988, 0.015563710985876609, 0.015563015309781797, 0.015562184253788285, 0.01556121135598861, 0.015560090272700427, 0.015558815588181616, 0.015557384402104557, 0.015555799418145118, 0.015554075004531416, 0.015552249345413533, 0.015550409644639739, 0.015548746930798269, 0.015547683000111988, 0.015548190184343271, 0.015552693303013199, 0.015568048984305955, 0.015617991424384164, 0.015820065043778579, 0.017498404177451715, 0.037991083986010393, 0.01710014782833515, 0.01614569099795023, 0.015897847472665563, 0.015793197208112626, 0.015737460833866724, 0.015703424692000766, 0.015680680424738792, 0.015664483789099199, 0.015652394930453832, 0.015643043270424858, 0.015635605229079651, 0.015629558961711008, 0.015624559369239562, 0.015620370076722841, 0.015616824360320273, 0.015613801664123909, 0.015611212933024718, 0.015608991143280453, 0.015607085009943617, 0.015605454698090191, 0.015604068833512457, 0.015602902377167879, 0.015601935086600321, 0.015601150384274742, 0.015600534513149973, 0.015600075898385742, 0.015599764659236426, 0.015599592231905862, 0.015599551075447053, 0.015599634440563887, 0.015599836186593653, 0.015600150635783431, 0.015600572456719849, 0.01560109657076288, 0.015601718076794136, 0.015602432190672179, 0.015603234196596951, 0.015604119408197836, 0.015605083137626352, 0.015606120671293598, 0.015607227251170766, 0.015608398060788304, 0.015609628215239977, 0.015610912754632812, 0.015612246640531142, 0.015613624755027582, 0.015615041902141837, 0.015616492811301723, 0.0156179721427036, 0.015619474494382272, 0.015620994410846618, 0.015622526393156085, 0.015624064910327659, 0.015625604411972097, 0.015627139342064507, 0.015628664153756348, 0.015630173325136561, 0.015631661375846671, 0.015633122884451203, 0.015634552506458916, 0.015635944992884503, 0.015637295209232724, 0.015638598154780407, 0.015639848982024186, 0.015641043016154984, 0.015642175774414627, 0.015643242985184731, 0.015644240606654262, 0.015645164844910575, 0.015646012171297494, 0.015646779338886713, 0.015647463397911451, 0.015648061710017844, 0.01564857196119717, 0.015648992173272008, 0.015649320713822138, 0.01564955630444927, 0.01564969802729603, 0.015649745329751809, 0.015649713792092405, 0.015649619269908401, 0.015649462035299731, 0.015649242540826318, 0.015648961418104665, 0.015648619475856513, 0.015648217697422483, 0.015647757237757375, 0.015647239419927069, 0.015646665731129716, 0.015646037818267206, 0.01564535748309499, 0.015644626676980713, 0.015643847495303818, 0.015643022171529897, 0.015642153070994771, 0.015641242684433468, 0.015640293621290515, 0.015639308602847093, 0.01563829045520064, 0.015637242102131722, 0.01563616655789157, 0.015635066919942646, 0.015633946361682402, 0.015632808125178373, 0.015631655513940797, 0.015630491885755552, 0.01562932064559789, 0.015628145238644007, 0.01562696914339436, 0.015625795864918812, 0.015624628928230428, 0.015623471871790258, 0.015622328241142288, 0.015621201582672795, 0.015620095437484625, 0.015619013335372616, 0.015617958788881647, 0.015616935287424727, 0.015615946291433761, 0.015614995226511349, 0.015614085477547142, 0.015613220382758102, 0.015612403227607314, 0.015611637238551843, 0.015610925576565803, 0.015610271330381091, 0.015609677509384464, 0.015609147036106656, 0.015608682738236661, 0.015608287340092458, 0.015607963453478767, 0.015607713567862742, 0.01560754003980035, 0.015607445081549733, 0.015607430748813834, 0.015607498927562467, 0.015607651319895513, 0.015607889428923303, 0.015608214542658674, 0.015608627716937794, 0.015609129757414452, 0.015609721200704601, 0.015610402294796023, 0.015611172978881102, 0.015612032862819394, 0.015612981206490297, 0.015614016899354363, 0.015615138440603341, 0.01561634392034234, 0.015617631002310887, 0.015618996908710461, 0.01562043840776108, 0.01562195180465516, 0.015623532936609742, 0.015625177172732648, 0.015626879419411217, 0.01562863413189872, 0.015630435332709802, 0.015632276637339359, 0.015634151287687737, 0.015636052193408016, 0.015637971981191361, 0.015639903051777426, 0.015641837644225189, 0.015643767906714734, 0.01564568597288276, 0.015647584042437192, 0.015649454464562972, 0.015651289822435081, 0.015653083017009996, 0.015654827348183631, 0.015656516591390619, 0.01565814506778173, 0.015659707706252631, 0.015661200095805069, 0.015662618526991114, 0.015663960021511637, 0.015665222349394187, 0.015666404033547399, 0.015667504341860181, 0.015668523267366011, 0.015669461497311448, 0.01567032037223904, 0.015671101836408862, 0.015671808381035143, 0.015672442981900809, 0.015673009032937845, 0.015673510277326868, 0.015673950737585901, 0.01567433464599232, 0.015674666376525662, 0.015674950379341735, 0.015675191118600371, 0.015675393014280236, 0.015675560388431001, 0.01567569741614349, 0.015675808081366371, 0.015675896137567397, 0.015675965073129527, 0.015676018081289073, 0.015676058034363113, 0.015676087461976667, 0.015676108532983461, 0.015676123040777427, 0.015676132391710708, 0.015676137596366987, 0.015676139263483411], [0.01619805131467934, 0.01619800934937243, 0.016197883552348708, 0.01619767421994886, 0.016197381844909573, 0.016197007114627692, 0.016196550908752286, 0.016196014296125653, 0.01619539853110108, 0.01619470504927023, 0.016193935462637945, 0.016193091554287498, 0.016192175272583483, 0.016191188724963244, 0.016190134171371426, 0.016189014017395167, 0.016187830807159864, 0.016186587216047429, 0.016185286043300641, 0.01618393020457834, 0.01618252272452695, 0.016181066729434101, 0.016179565440030796, 0.016178022164507758, 0.016176440291812023, 0.016174823285289016, 0.016173174676735333, 0.016171498060926843, 0.016169797090686739, 0.016168075472557886, 0.016166336963144491, 0.016164585366187988, 0.016162824530443726, 0.016161058348426058, 0.016159290756091387, 0.016157525733531117, 0.016155767306749721, 0.016154019550606406, 0.016152286593002781, 0.016150572620403758, 0.016148881884783188, 0.016147218712090509, 0.016145587512339285, 0.01614399279142158, 0.016142439164754881, 0.016140931372867453, 0.01613947429902474, 0.016138072988990396, 0.016136732672999653, 0.016135458789997087, 0.016134257014151693, 0.01613313328360581, 0.016132093831334432, 0.016131145217882135, 0.016130294365595883, 0.016129548593775463, 0.016128915653904789, 0.016128403763793927, 0.016128021639037524, 0.016127778519663034, 0.016127684189186097, 0.016127748982496408, 0.016127983778058467, 0.016128399968832294, 0.016129009405123886, 0.016129824301318613, 0.016130857097232346, 0.016132120263791742, 0.016133626042163115, 0.016135386105611431, 0.016137411134706854, 0.016139710299505311, 0.016142290647551568, 0.016145156404476793, 0.016148308204892659, 0.016151742285136567, 0.016155449685500891, 0.016159415526342216, 0.016163618437405245, 0.016168030229404103, 0.016172615897474905, 0.016177334033911882, 0.016182137700359332, 0.016186975767638279, 0.016191794678363829, 0.016196540530730674, 0.016201161331154165, 0.01620560922920105, 0.016209842538597908, 0.016213827366616449, 0.016217538718427387, 0.016220961005178152, 0.016224087953169729, 0.016226921974617996, 0.016229473108453876, 0.016231757667043215, 0.016233796730921415, 0.016235614621901952, 0.016237237460858561, 0.016238691886366678, 0.016240003979757067, 0.016241198414988219, 0.016242297830345098, 0.016243322404038234, 0.016244289606910992, 0.016245214101616688, 0.016246107757499895, 0.016246979752738019, 0.016247836738988601, 0.016248683048019266, 0.016249520924000782, 0.016250350768969996, 0.016251171392238979, 0.016251980257182611, 0.01625277372089828, 0.016253547263764569, 0.01625429570701515, 0.016255013417181146, 0.016255694496724291, 0.016256332960459845, 0.016256922897513779, 0.016257458618622978, 0.016257934788605249, 0.016258346543824621, 0.016258689594471683, 0.016258960311478603, 0.01625915579789735, 0.016259273944587996, 0.016259313470090818, 0.016259317480905186, 0.016259329576450241, 0.016259349946219373, 0.016259378906663437, 0.016259416902145961, 0.016259464506305464, 0.01625952242385062, 0.016259591492822287, 0.016259672687365435, 0.016259767121064, 0.016259876050902785, 0.016260000881932746, 0.016260143172730234, 0.016260304641756471, 0.016260487174741319, 0.016260692833236712, 0.016260923864507934, 0.01626118271295934, 0.016261472033322115, 0.016261794705869578, 0.016262153853968911, 0.016262552864329764, 0.01626299541037167, 0.016263485479205031, 0.01626402740280803, 0.016264625894087274, 0.016265286088637795, 0.016266013593173159, 0.016266814541786273, 0.016267695661434906, 0.016268664348332983, 0.016269728757285957, 0.01627089790645295, 0.01627218180057502, 0.016273591576411141, 0.016275139675011936, 0.016276840046594548, 0.0162787083952355, 0.016280762472475049, 0.016283022431366919, 0.016285511255705081, 0.016288255283381094, 0.016291284848448054, 0.016294635074021402, 0.016298346858392626, 0.016302468110770407, 0.016307055312507826, 0.016312175506918002, 0.016317908859431692, 0.016324351985421308, 0.016331622324077161, 0.016339863956824165, 0.016349255449761037, 0.016360020577447731, 0.016372443220600927, 0.016386888427368889, 0.016403832772165155, 0.016423909076339557, 0.016447973911807266, 0.016477212349803708, 0.016513305718859617, 0.016558710240189126, 0.016617139914927716, 0.016694446515860085, 0.016800323051995362, 0.016951854499101242, 0.017181639582331338, 0.017558745825699506, 0.018252340665574653, 0.019775786538239325, 0.024333118585838451, 0.048468739746932936, 0.057337638829872722, 0.023612009770444774, 0.018605132236684623, 0.017239971220009292, 0.016710194895199461, 0.01646014402360494, 0.016326816793122527, 0.016249652802452799, 0.016202335337338065, 0.016172079248182036, 0.016152133017420002, 0.016138693148385071, 0.016129503615642388, 0.01612316896215955, 0.016118795562585143, 0.016115794272127192, 0.016113767002351103, 0.016112439053810431, 0.01611161742584331, 0.016111164400657338, 0.016110980388358464, 0.016110992540986042, 0.016111147047702945, 0.01611140382989646, 0.016111732831378737, 0.016112111387405176, 0.01611252233495155, 0.016112952639688267, 0.016113392387879236, 0.016113834039130387, 0.016114271867663045, 0.016114701541229799, 0.016115119801467501, 0.016115524219652469, 0.016115913008953212, 0.016116284879328053, 0.016116638924830895, 0.016116974535700577, 0.01611729132951311, 0.016117589097074725, 0.016117867759769783, 0.016118127335850121, 0.016118367913732695, 0.016118589630811149, 0.01611879265662064, 0.016118977179450579, 0.016119143395696627, 0.016119291501395211, 0.016119421685502677, 0.016119534124573585, 0.01611962897856636, 0.01611970638756231, 0.01611976646923096, 0.016119809316912523, 0.01611983499821967, 0.016119843554087018, 0.016119834998219666, 0.016119809316912519, 0.016119766469230953, 0.016119706387562313, 0.016119628978566367, 0.016119534124573592, 0.016119421685502684, 0.016119291501395211, 0.016119143395696617, 0.016118977179450576, 0.016118792656620636, 0.016118589630811159, 0.016118367913732695, 0.016118127335850121, 0.016117867759769776, 0.016117589097074725, 0.016117291329513114, 0.01611697453570058, 0.016116638924830892, 0.016116284879328053, 0.016115913008953219, 0.016115524219652469, 0.016115119801467501, 0.016114701541229796, 0.016114271867663042, 0.016113834039130394, 0.016113392387879236, 0.016112952639688261, 0.01611252233495155, 0.016112111387405165, 0.016111732831378744, 0.016111403829896457, 0.016111147047702949, 0.016110992540986038, 0.016110980388358467, 0.016111164400657338, 0.01611161742584331, 0.016112439053810438, 0.016113767002351106, 0.016115794272127185, 0.01611879556258514, 0.01612316896215955, 0.016129503615642384, 0.016138693148385071, 0.016152133017419999, 0.016172079248182029, 0.016202335337338055, 0.016249652802452771, 0.016326816793122551, 0.016460144023604753, 0.016710194895199072, 0.017239971220008424, 0.018605132236684946, 0.023612009770442297, 0.057337638829858442, 0.048468739746895723, 0.024333118585835655, 0.019775786538240234, 0.01825234066557492, 0.01755874582569996, 0.017181639582331567, 0.01695185449910119, 0.016800323051995421, 0.016694446515860068, 0.016617139914927713, 0.016558710240189123, 0.016513305718859641, 0.016477212349803712, 0.01644797391180728, 0.016423909076339546, 0.016403832772165158, 0.016386888427368893, 0.01637244322060093, 0.016360020577447728, 0.016349255449761034, 0.016339863956824172, 0.016331622324077172, 0.016324351985421318, 0.016317908859431688, 0.016312175506918009, 0.016307055312507823, 0.016302468110770404, 0.016298346858392626, 0.016294635074021402, 0.016291284848448051, 0.016288255283381094, 0.016285511255705081, 0.016283022431366919, 0.016280762472475053, 0.016278708395235503, 0.016276840046594545, 0.01627513967501194, 0.016273591576411145, 0.016272181800575023, 0.016270897906452943, 0.016269728757285953, 0.016268664348332986, 0.016267695661434912, 0.016266814541786273, 0.016266013593173152, 0.016265286088637795, 0.016264625894087274, 0.01626402740280803, 0.016263485479205034, 0.01626299541037167, 0.016262552864329764, 0.016262153853968911, 0.016261794705869581, 0.016261472033322108, 0.016261182712959343, 0.016260923864507934, 0.016260692833236709, 0.016260487174741316, 0.016260304641756464, 0.016260143172730238, 0.016260000881932739, 0.016259876050902781, 0.016259767121064004, 0.016259672687365431, 0.01625959149282229, 0.016259522423850623, 0.016259464506305461, 0.016259416902145961, 0.01625937890666343, 0.016259349946219366, 0.016259329576450238, 0.016259317480905186, 0.016259313470090821, 0.016259315474471247, 0.016259321506832281, 0.016259331624850125, 0.016259345924708742, 0.016259364541185907, 0.016259387647775399, 0.016259415456846751, 0.016259448219844617, 0.016259486227530384, 0.01625952981026909, 0.016259579338365207, 0.016259635222451538, 0.016259697913935989, 0.016259767905511865, 0.016259845731737541, 0.016259931969692814, 0.016260027239719355, 0.016260132206254156, 0.016260247578765381, 0.016260374112801377, 0.016260512611164409, 0.016260663925222393, 0.016260828956372694, 0.016261008657673916, 0.016261204035663213, 0.016261416152378125, 0.016261646127604491, 0.016261895141373533, 0.016262164436734332, 0.016262455322830029, 0.016262769178309707, 0.016263107455110878, 0.016263471682651815, 0.016263863472476926, 0.016264284523403581, 0.016264736627224431, 0.016265221675025334, 0.016265741664186682, 0.016266298706143763, 0.016266895034991756, 0.016267533017031315, 0.016268215161363654, 0.016268944131658126, 0.016269722759231983, 0.016270554057601312, 0.016271441238684223, 0.016272387730863327, 0.016273397199144789, 0.016274473567686087, 0.016275621045006121, 0.016276844152239432, 0.016278147754852982, 0.016279537098311418, 0.016281017848255343, 0.016282596135851958, 0.016284278609088928, 0.016286072490916133, 0.016287985645300453, 0.016290026652450992, 0.016292204894704745, 0.016294530654844219, 0.016297015228960425, 0.01629967105639285, 0.016302511869789642, 0.016305552868962347, 0.016308810922989418, 0.016312304805992855, 0.016316055473223946, 0.016320086385616401, 0.016324423892887605, 0.016329097687711458, 0.016334141346608561, 0.01633959297721652, 0.016345495996806653, 0.016351900073701832, 0.016358862272174351, 0.016366448453227777, 0.016374734999470793, 0.01638381095360238, 0.016393780689043562, 0.016404767271161944, 0.016416916723033623, 0.016430403487768128, 0.016445437490658035, 0.016462273365034415, 0.016481222641031169, 0.016502670046693452, 0.01652709560109239, 0.016555104996901947, 0.016587472057127739, 0.016625199122592423, 0.016669604644929739, 0.016722453055264895, 0.016786152109239932, 0.01686406123458668, 0.016960988867982703, 0.017084024500782537, 0.01724399124422436, 0.017458112196525988, 0.01775520771374366, 0.01818659386885246, 0.018851108683015795, 0.019959627374860314, 0.022028548886362059, 0.026589351425259394, 0.039495698890817846, 0.081591257262348379, 0.07125306343547283, 0.033465901918288098, 0.023184265288730434, 0.019697613001986639, 0.018187361681066053, 0.017419191706823843, 0.016983755411788627, 0.016717198412549306, 0.016544459596244662, 0.01642753004829612, 0.016345622175254322, 0.016286652709732174, 0.016243242669808387, 0.016210698464586934, 0.016185930774987874, 0.016166846219345402, 0.016151990352844096, 0.016140330454224507, 0.016131119151379977, 0.016123806412457101, 0.016117981351898673, 0.016106666330721491, 0.016101020893566555, 0.016098450775492837, 0.016097608320965164, 0.016097754254522367, 0.016098465583478657, 0.016099492217847119, 0.016100682488395003, 0.016101942609625067, 0.016103213744217849, 0.016104458596123309, 0.016105653354740204, 0.016106782740202476, 0.016107836895239751, 0.016108809402607751, 0.016109696002515484, 0.016110493752841879, 0.016111200473368816, 0.0161118143741306, 0.016112333803915389, 0.016112757077295262, 0.016113082352691807, 0.016113307543078166, 0.016113430246901175, 0.016113447690887076, 0.016113356679380107, 0.016113153547366092, 0.016112834116921604, 0.016112393660185822, 0.016111826877091884, 0.016111127904732118, 0.016110290390472209, 0.016109307688640166, 0.016108173292269691, 0.016106881710161083, 0.016105430194033557, 0.016103822116874528, 0.01610207364451214, 0.016100227214700447, 0.016098379754081911, 0.016096744733454203, 0.016095797952022955, 0.01609665150649164, 0.016102134573584368, 0.016120488228620878, 0.01618164269144462, 0.016448115383074183, 0.019323619390364758, 0.026368794465840974, 0.017339150152623429, 0.016629257563623646, 0.016421565056232084, 0.016329253189712907, 0.016278654951265185, 0.016247182170780881, 0.016225879637241487, 0.016210566127962789, 0.016199053843772966, 0.016190097674977599, 0.016182941790379955, 0.016177103361553591, 0.016172260965418715, 0.016168193230292754, 0.016164743292824309, 0.016161797282363721, 0.016159270799538203, 0.016157100139579852, 0.016155236432597215, 0.016153641633154404, 0.01615228571459296, 0.016151144667414307, 0.016150199046076525, 0.016149432897241953, 0.016148832958107963, 0.01614838804910175, 0.016148088608550253, 0.016147926332493911, 0.016147893893365468, 0.016147984718527648, 0.016148192814748941, 0.016148512628300988, 0.016148938932949244, 0.016149466739988003, 0.016150091225852297, 0.016150807673864162, 0.016151611427439962, 0.016152497852667522, 0.016153462308606335, 0.016154500124006842, 0.016155606579410585, 0.01615677689380084, 0.016158006215137133, 0.016159289614236211, 0.016160622081564817, 0.016161998526591496, 0.016163413779409587, 0.016164862594395441, 0.016166339655706817, 0.01616783958445828, 0.01616935694743523, 0.016170886267226719, 0.016172422033670305, 0.016173958716511661, 0.016175490779186681, 0.016177012693635848, 0.01617851895606081, 0.016180004103529988, 0.016181462731335975, 0.016182889511001976, 0.016184279208827711, 0.016185626704858094, 0.0161869270121505, 0.016188175296209487, 0.016189366894450073, 0.016190497335545388, 0.016191562358508948, 0.016192557931357963, 0.0161934802692024, 0.016194325851603134, 0.016195091439045194, 0.016195774088374821, 0.016196371167055249, 0.016196880366104126, 0.016197299711585112, 0.016197627574539169, 0.016197862679254264, 0.016198004109788527, 0.01619805131467934, 0.016198019842069283, 0.016197925514850949, 0.016197768604576984, 0.016197549562895087, 0.016197269020144379, 0.016196927783403908, 0.0161965268340061, 0.016196067324531979, 0.016195550575308117, 0.01619497807042812, 0.016194351453324634, 0.01619367252192017, 0.016192943223387095, 0.016192165648549289, 0.016191342025959083, 0.016190474715684723, 0.016189566202843515, 0.016188619090917178, 0.016187636094884973, 0.016186620034210349, 0.016185573825715765, 0.016184500476379354, 0.016183403076085595, 0.01618228479036023, 0.01618114885311759, 0.01617999855944632, 0.016178837258456407, 0.016177668346207711, 0.016176495258737131, 0.016175321465197956, 0.016174150461121549, 0.016172985761807812, 0.016171830895846746, 0.01617068939876988, 0.016169564806825795, 0.016168460650869805, 0.016167380450353833, 0.016166327707397756, 0.016165305900919153, 0.01616431848079404, 0.01616336886201639, 0.016162460418819947, 0.016161596478721185, 0.016160780316437855, 0.016160015147633513, 0.016159304122433868, 0.01615865031865734, 0.016158056734698518, 0.016157526282000199, 0.016157061777047361, 0.016156665932814653, 0.016156341349598594, 0.016156090505165945, 0.016155915744152146, 0.016155819266647289, 0.016155803115913508, 0.016155869165185934, 0.016156019103521227, 0.016156254420672544, 0.016156576390988643, 0.016156986056357913, 0.016157484208246208, 0.016158071368909763, 0.016158747771903043, 0.016159513342044664, 0.016160367675053366, 0.016161310017119592, 0.016162339244736108, 0.016163453845171934, 0.016164651898036425, 0.01616593105844202, 0.016167288542333253, 0.016168721114602217, 0.016170225080653577, 0.016171796282111454, 0.016173430097371589, 0.016175121447690934, 0.016176864809469397, 0.016178654233310302, 0.016180483370345757, 0.016182345506178347, 0.016184233602621442, 0.016186140347219869, 0.016188058210304539, 0.016189979509085763, 0.016191896478030095, 0.016193801344504235, 0.016195686408421603, 0.016197544124403628, 0.016199367184784159, 0.016201148601652525, 0.016202881786060039, 0.016204560622513076, 0.016206179536947484, 0.01620773355652317, 0.016209218359789963, 0.016210630316046977, 0.016211966513035563, 0.016213224772454706, 0.016214403653150664, 0.016215502442192397, 0.016216521134383481, 0.016217460401065434, 0.016218321549324028, 0.016219106472910774, 0.016219817596330836, 0.016220457813625043, 0.016221030423390129, 0.016221539061541366, 0.016221987633235124, 0.016222380245242418, 0.016222721139909742, 0.016223014631669756, 0.016223265046881197, 0.016223476667594498, 0.016223653679662681, 0.016223800125454487, 0.016223919861280817, 0.016224016519521111, 0.01622409347533409, 0.016224153817758619, 0.016224200324953992, 0.016224235443295272, 0.016224261270024215, 0.016224279539160617, 0.016224291610397887, 0.01622429846073898, 0.016224300678672383], [0.016649528326092754, 0.016649486622366979, 0.016649361609467457, 0.016649153581878347, 0.01664886302924545, 0.016648490634645432, 0.01664803727218488, 0.016647504003950406, 0.016646892076337419, 0.016646202915790612, 0.016645438123993783, 0.016644599472552143, 0.016643688897214206, 0.01664270849168412, 0.016641660501079025, 0.016640547315088915, 0.016639371460898836, 0.016638135595935157, 0.016636842500499748, 0.01663549507035619, 0.016634096309333931, 0.016632649322015448, 0.016631157306573101, 0.016629623547820827, 0.016628051410546588, 0.016626444333190618, 0.016624805821934031, 0.016623139445262513, 0.016621448829068866, 0.01661973765235851, 0.016618009643622318, 0.01661626857794108, 0.016614518274887389, 0.016612762597291754, 0.016611005450941425, 0.016609250785282813, 0.016607502595201239, 0.016605764923954922, 0.016604041867343797, 0.016602337579198025, 0.016600656278275061, 0.01659900225665847, 0.016597379889755438, 0.016595793647992685, 0.016594248110311922, 0.016592747979564601, 0.016591298099901064, 0.016589903476238902, 0.016588569295877841, 0.016587300952301227, 0.016586104071163118, 0.016584984538401331, 0.016583948530334992, 0.016583002545493362, 0.016582153437772196, 0.016581408450315683, 0.016580775249263373, 0.016580261956169122, 0.016579877177478691, 0.016579630028927535, 0.016579530152077093, 0.016579587719433519, 0.016579813423683722, 0.016580218445546697, 0.016580814393601196, 0.016581613208272259, 0.016582627021039416, 0.01658386795902797, 0.016585347884693433, 0.016587078060622849, 0.016589068730958532, 0.01659132861407029, 0.016593864306359916, 0.01659667960491135, 0.016599774767339388, 0.01660314574049325, 0.016606783404894052, 0.016610672897385874, 0.016614793088023029, 0.016619116295470252, 0.016623608324536857, 0.016628228896633214, 0.01663293251704161, 0.016637669782496724, 0.016642389082439861, 0.016647038594429741, 0.016651568427768323, 0.016655932738906386, 0.016660091634910255, 0.016664012700111114, 0.016667672023476049, 0.01667105466269915, 0.016674154544903619, 0.016676973862206387, 0.016679522064496684, 0.016681814576805752, 0.01668387137409779, 0.016685715535257873, 0.016687371875678564, 0.016688865729907111, 0.01669022192738457, 0.016691463979064326, 0.016692613472727831, 0.016693689660798615, 0.016694709216045364, 0.016695686126815497, 0.016696631703164256, 0.016697554667275499, 0.016698461304908374, 0.016699355658481938, 0.016700239746290691, 0.016701113795897112, 0.01670197648279774, 0.016702825167947064, 0.016703656129662754, 0.016704464786883221, 0.016705245911781838, 0.016705993830445454, 0.016706702610776957, 0.016707366237053347, 0.016707978770720281, 0.016708534497078122, 0.016709028057546663, 0.016709454567210829, 0.016709809717361704, 0.016710089862765024, 0.016710292093415249, 0.016710414290568024, 0.016710455166884727, 0.016710458679763882, 0.016710469279989856, 0.016710487152497493, 0.016710512606078712, 0.016710546074244791, 0.016710588116456562, 0.016710639419746234, 0.016710700800762233, 0.016710773208276821, 0.016710857726205421, 0.016710955577196845, 0.016711068126865271, 0.016711196888747438, 0.016711343530083543, 0.016711509878536542, 0.016711697929983987, 0.016711909857537753, 0.01671214802197268, 0.016712414983773533, 0.016712713517044019, 0.016713046625560737, 0.016713417561301531, 0.016713829845832803, 0.016714287295005664, 0.016714794047489, 0.016715354597761523, 0.016715973834298244, 0.016716657083824731, 0.01671741016267982, 0.016718239436533795, 0.016719151889961138, 0.016720155207680693, 0.016721257869664382, 0.016722469262801493, 0.016723799812415674, 0.016725261137701865, 0.016726866236128752, 0.016728629703102703, 0.016730567994797167, 0.016732699744133824, 0.016735046142618341, 0.016737631404303427, 0.01674048333288267, 0.016743634019240904, 0.016747120705314041, 0.016750986861725235, 0.016755283542647118, 0.016760071103581357, 0.016765421399069464, 0.01677142062202781, 0.016778173011018097, 0.016785805746622137, 0.016794475499609073, 0.016804377308459382, 0.016815756796390424, 0.016828927263730951, 0.016844294041931471, 0.016862389906999901, 0.016883927760682631, 0.016909881038077137, 0.016941610070018646, 0.016981067426250572, 0.017031144807625284, 0.017096286350022246, 0.017183633291912102, 0.017305305186512427, 0.017483330388003589, 0.017761460475871807, 0.018237601126408119, 0.01917124606030169, 0.021453574530754728, 0.02981764514014364, 0.077515889492391465, 0.034963614587472824, 0.020991556226294211, 0.018284879188323454, 0.017404498578689781, 0.017029062498589612, 0.016841468872023018, 0.016737637096780271, 0.016675979635705475, 0.016637481225899434, 0.016612550660420139, 0.01659597531618455, 0.016584751323086361, 0.016577064132796707, 0.016571774470925532, 0.01656814368242663, 0.01656567972861063, 0.016564047234824106, 0.016563013077517511, 0.016562412455785172, 0.016562127167411074, 0.016562071370732723, 0.016562182057635027, 0.016562412560122572, 0.01656272805074353, 0.01656310237791921, 0.016563515810059576, 0.01656395340782317, 0.016564403836585605, 0.016564858491331449, 0.016565310845859292, 0.016565755964759881, 0.016566190134672101, 0.016566610583734792, 0.016567015266796922, 0.016567402700034092, 0.016567771832949791, 0.016568121948850247, 0.016568452587137211, 0.016568763482411705, 0.016569054516597292, 0.016569325681194035, 0.016569577047448953, 0.016569808742737602, 0.016570020931836082, 0.016570213802056814, 0.016570387551446478, 0.016570542379418397, 0.016570678479326622, 0.016570796032594082, 0.016570895204090427, 0.016570976138520498, 0.016571038957637022, 0.016571083758133768, 0.016571110610110358, 0.016571119556029159, 0.016571110610110358, 0.016571083758133768, 0.016571038957637018, 0.016570976138520498, 0.016570895204090434, 0.016570796032594086, 0.016570678479326629, 0.016570542379418397, 0.016570387551446471, 0.016570213802056817, 0.016570020931836082, 0.016569808742737613, 0.016569577047448956, 0.016569325681194035, 0.016569054516597292, 0.016568763482411694, 0.016568452587137215, 0.016568121948850253, 0.016567771832949784, 0.016567402700034088, 0.016567015266796922, 0.016566610583734799, 0.016566190134672101, 0.016565755964759881, 0.016565310845859292, 0.016564858491331456, 0.016564403836585598, 0.016563953407823163, 0.016563515810059579, 0.016563102377919199, 0.016562728050743537, 0.016562412560122572, 0.01656218205763503, 0.016562071370732716, 0.016562127167411084, 0.016562412455785176, 0.016563013077517515, 0.01656404723482411, 0.01656567972861063, 0.016568143682426623, 0.016571774470925529, 0.01657706413279671, 0.016584751323086361, 0.01659597531618455, 0.016612550660420135, 0.01663748122589942, 0.016675979635705461, 0.016737637096780236, 0.016841468872023046, 0.017029062498589344, 0.017404498578689174, 0.018284879188321931, 0.02099155622629513, 0.034963614587465053, 0.077515889492397363, 0.029817645140131924, 0.02145357453075358, 0.0191712460603022, 0.018237601126408289, 0.017761460475872123, 0.017483330388003766, 0.017305305186512385, 0.017183633291912147, 0.017096286350022232, 0.017031144807625281, 0.016981067426250565, 0.016941610070018671, 0.01690988103807714, 0.016883927760682652, 0.016862389906999894, 0.016844294041931475, 0.016828927263730958, 0.016815756796390424, 0.016804377308459382, 0.016794475499609069, 0.01678580574662214, 0.016778173011018103, 0.016771420622027817, 0.016765421399069468, 0.01676007110358136, 0.016755283542647114, 0.016750986861725239, 0.016747120705314041, 0.016743634019240904, 0.016740483332882673, 0.016737631404303423, 0.016735046142618341, 0.016732699744133824, 0.01673056799479717, 0.016728629703102703, 0.016726866236128755, 0.016725261137701869, 0.016723799812415677, 0.016722469262801486, 0.016721257869664382, 0.016720155207680689, 0.016719151889961138, 0.016718239436533795, 0.016717410162679826, 0.016716657083824728, 0.016715973834298244, 0.016715354597761519, 0.016714794047489004, 0.01671428729500566, 0.016713829845832803, 0.016713417561301531, 0.016713046625560737, 0.016712713517044016, 0.016712414983773526, 0.016712148021972677, 0.016711909857537753, 0.016711697929983987, 0.016711509878536542, 0.016711343530083533, 0.016711196888747438, 0.016711068126865271, 0.016710955577196849, 0.016710857726205421, 0.016710773208276825, 0.016710700800762233, 0.01671063941974623, 0.016710588116456558, 0.016710546074244791, 0.016710512606078708, 0.016710487152497486, 0.01671046927998986, 0.016710458679763878, 0.016710455166884734, 0.016710456922327914, 0.016710462207485739, 0.016710471078857623, 0.016710483630658222, 0.016710499994891471, 0.016710520341455766, 0.016710544878281785, 0.016710573851504613, 0.016710607545672843, 0.016710646283997391, 0.016710690428643284, 0.016710740381068526, 0.016710796582414398, 0.016710859513952358, 0.016710929697593219, 0.016711007696465167, 0.016711094115567732, 0.016711189602509884, 0.016711294848341027, 0.016711410588484969, 0.016711537603787505, 0.016711676721690084, 0.016711828817542452, 0.016711994816069206, 0.01671217569300628, 0.01671237247692511, 0.016712586251264254, 0.016712818156589659, 0.016713069393107818, 0.016713341223457703, 0.016713634975810698, 0.016713952047310462, 0.01671429390788845, 0.016714662104494384, 0.016715058265785582, 0.016715484107323993, 0.016715941437335406, 0.016716432163091741, 0.016716958297984606, 0.016717521969366805, 0.016718125427247928, 0.016718771053941123, 0.016719461374771011, 0.016720199069966846, 0.016720986987882318, 0.016721828159702377, 0.016722725815820332, 0.016723683404094473, 0.01672470461022408, 0.016725793380520354, 0.016726953947389319, 0.016728190857893066, 0.016729509005812947, 0.016730913667706619, 0.016732410543531088, 0.016734005802499625, 0.01673570613495386, 0.016737518811168528, 0.016739451748168696, 0.016741513585835414, 0.016743713773811786, 0.016746062671007613, 0.016748571659849155, 0.016751253277845247, 0.016754121369562822, 0.016757191262746947, 0.016760479973115496, 0.016764006443347339, 0.016767791823018786, 0.016771859797796135, 0.016776236978155105, 0.016780953360392856, 0.016786042875889615, 0.016791544048685235, 0.016797500786760761, 0.016803963339367324, 0.016810989461889678, 0.016818645841859884, 0.016827009855958166, 0.016836171749731638, 0.016846237361598435, 0.016857331553784636, 0.016869602570027151, 0.016883227620421326, 0.016898420108680687, 0.016915439083188807, 0.016934601736942306, 0.016956300144776157, 0.016981023977192356, 0.017009391781408582, 0.017042194762929643, 0.017080459166944433, 0.017125536941071967, 0.017179240451340092, 0.017244047702224836, 0.01732342389665124, 0.017422341769385258, 0.017548155387805599, 0.017712132358112656, 0.017932281171609579, 0.018238897258010558, 0.018686283754151448, 0.019379930919302329, 0.0205474727841676, 0.022755070218087831, 0.027718347936739031, 0.042148345697156163, 0.086859005243791143, 0.065635848752387288, 0.032189192044410037, 0.023100000736422911, 0.019929251633378706, 0.018529907087818744, 0.017809408894768283, 0.017397564915500815, 0.017143937802872825, 0.016978851651529004, 0.01686673113728401, 0.016787993993051503, 0.016731199034700193, 0.016689330182898147, 0.016657909270944984, 0.016633980251957278, 0.016615535152402806, 0.016601175954291499, 0.016589908219871701, 0.016581011165619528, 0.016573953613059807, 0.016560300324640939, 0.016553466380541469, 0.016550273377284208, 0.01654910329970332, 0.016549082505426253, 0.016549717404116631, 0.0165507191495066, 0.016551914046971504, 0.016553195452722182, 0.016554496870715023, 0.016555776380807852, 0.01655700736127555, 0.016558172824629683, 0.016559261887180293, 0.016560267529713218, 0.016561185155937526, 0.016562011652696662, 0.016562744770418414, 0.016563382710271943, 0.016563923845740493, 0.016564366531810322, 0.016564708971013455, 0.016564949115831385, 0.016565084593688637, 0.016565112645322486, 0.016565030070625469, 0.016564833178806727, 0.016564517742533983, 0.016564078959349752, 0.016563511429210632, 0.016562809166355118, 0.016561965680273454, 0.016560974190813118, 0.01655982809914372, 0.016558521945343258, 0.016557053299459727, 0.016555426476458288, 0.016553659914588244, 0.016551801190835401, 0.016549958739963674, 0.016548372407776606, 0.016547581608548932, 0.016548864878112381, 0.016555542983886305, 0.016577599933710743, 0.01665325614246041, 0.017013240100680851, 0.022557035887032541, 0.022214103638080154, 0.017571435518821454, 0.017027512800218358, 0.016851625848998603, 0.016769789033748411, 0.016723733662311092, 0.016694590252302993, 0.016674624622999741, 0.016660143104469352, 0.016649181061876864, 0.016640606401116149, 0.016633725168250995, 0.01662809058255647, 0.016623403310343426, 0.016619456096305784, 0.01661610142336209, 0.016613231798906163, 0.01661076729122014, 0.016608647397097609, 0.016606825587324354, 0.016605265558397649, 0.016603938600734874, 0.016602821715013046, 0.016601896240610432, 0.016601146841404776, 0.016600560745348814, 0.016600127167174846, 0.016599836865204897, 0.01659968179770838, 0.016599654854088867, 0.016599749642981051, 0.016599960324104823, 0.01660028147410967, 0.016600707979078474, 0.016601234948133238, 0.016601857643890494, 0.01660257142648499, 0.016603371708609489, 0.016604253919572036, 0.016605213476794615, 0.016606245763504269, 0.016607346111620999, 0.016608509789045996, 0.016609731990709996, 0.016611007832865857, 0.0166123323502077, 0.016613700495477737, 0.016615107141284478, 0.016616547083905499, 0.016618015048887696, 0.016619505698288253, 0.016621013639423584, 0.01662253343501096, 0.016624059614600263, 0.016625586687202001, 0.016627109155022361, 0.016628621528217813, 0.016630118340581573, 0.016631594166070837, 0.01663304363607946, 0.016634461457354994, 0.016635842430452095, 0.016637181468606869, 0.016638473616909389, 0.016639714071644066, 0.01664089819966021, 0.016642021557629401, 0.016643079911040602, 0.016644069252780176, 0.016644985821142114, 0.016645826117112288, 0.016646586920773147, 0.016647265306677976, 0.016647858658049824, 0.016648364679668418, 0.016648781409317585, 0.016649107227679056, 0.016649340866571268, 0.016649481415448517, 0.016649528326092754, 0.016649497049663446, 0.016649403310461722, 0.016649247378464665, 0.016649029702698017, 0.016648750909838642, 0.01664841180227147, 0.016648013355613733, 0.016647556715723436, 0.016647043195211732, 0.016646474269482205, 0.016645851572322942, 0.016645176891079486, 0.016644452161439217, 0.016643679461859386, 0.016642861007672365, 0.016641999144903444, 0.016641096343835957, 0.01664015519236044, 0.016639178389143049, 0.01663816873664899, 0.016637129134055472, 0.016636062570087592, 0.016634972115809363, 0.016633860917399747, 0.016632732188941839, 0.01663158920525094, 0.016630435294764205, 0.016629273832511983, 0.0166281082331876, 0.016626941944329093, 0.016625778439622655, 0.01662462121233417, 0.016623473768870769, 0.016622339622471061, 0.016621222287017966, 0.016620125270963914, 0.016619052071354373, 0.016618006167930563, 0.016616991017288155, 0.016616010047064325, 0.016615066650120712, 0.016614164178685664, 0.016613305938414372, 0.016612495182321448, 0.016611735104535948, 0.016611028833825002, 0.016610379426828283, 0.016609789860942321, 0.016609263026790548, 0.01660880172021283, 0.016608408633706776, 0.016608086347252572, 0.016607837318453934, 0.016607663871930311, 0.016607568187899175, 0.016607552289894266, 0.016607618031573977, 0.016607767082586513, 0.016608000913473538, 0.01660832077961338, 0.01660872770422827, 0.016609222460508569, 0.016609805552939696, 0.016610477197956261, 0.01661123730409118, 0.016612085451836716, 0.016613020873487261, 0.01661404243329145, 0.016615148608300941, 0.016616337470364808, 0.01661760666977833, 0.01661895342115231, 0.016620374492118804, 0.016621866195529401, 0.016623424385827822, 0.016625044460286148, 0.016626721365778648, 0.016628449611725913, 0.016630223289770138, 0.016632036100638528, 0.016633881388514658, 0.016635752183066982, 0.016637641249083037, 0.016639541143431389, 0.016641444278827931, 0.016643342993628747, 0.016645229626617943, 0.016647096595520029, 0.016648936477753871, 0.016650742091773217, 0.016652506577218097, 0.016654223472042727, 0.016655886784794502, 0.016657491060299547, 0.016659031437160732, 0.016660503695690075, 0.016661904295168565, 0.016663230399641394, 0.01666447989179862, 0.016665651374844749, 0.016666744162608903, 0.016667758258472627, 0.016668694323982578, 0.016669553638257558, 0.016670338049486481, 0.016671049919940999, 0.016671692065992824, 0.016672267694634625, 0.016672780337958368, 0.016673233786955781, 0.016673632025879039, 0.016673979168247016, 0.016674279395412508, 0.016674536898427777, 0.016674755823768744, 0.016674940223308187, 0.016675094008771735, 0.01667522091077149, 0.016675324442393388, 0.016675407867217308, 0.016675474171574948, 0.016675526040797417, 0.016675565839173432, 0.016675595593325543, 0.016675616978717309, 0.016675631309023012, 0.016675639528123565, 0.01667564220453481], [0.016702059869793784, 0.016702018660557306, 0.016701895129947037, 0.016701689568914845, 0.016701402461231318, 0.016701034481772844, 0.016700586494145561, 0.016700059547667092, 0.016699454873733706, 0.016698773881605542, 0.016698018153647392, 0.016697189440067761, 0.016696289653203016, 0.01669532086139721, 0.016694285282531588, 0.016693185277260957, 0.016692023342016235, 0.016690802101834559, 0.016689524303080065, 0.016688192806119256, 0.016686810578016027, 0.016685380685311182, 0.01668390628695228, 0.01668239062743861, 0.016680837030246507, 0.016679248891599496, 0.016677629674647174, 0.016675982904116933, 0.016674312161501625, 0.016672621080846561, 0.016670913345199427, 0.016669192683786659, 0.016667462869981144, 0.016665727720127064, 0.01666399109328931, 0.016662256891997029, 0.016660529064053742, 0.016658811605489137, 0.016657108564731328, 0.016655424048082134, 0.016653762226581638, 0.016652127344352039, 0.016650523728514041, 0.016648955800771113, 0.016647428090757491, 0.016645945251243532, 0.016644512075286173, 0.016643133515400709, 0.016641814704811117, 0.016640560980807281, 0.016639377910194375, 0.016638271316759368, 0.016637247310595491, 0.016636312319011918, 0.016635473118603663, 0.016634736867857419, 0.016634111139410185, 0.016633603950746971, 0.016633223791707091, 0.016632979646651853, 0.016632881008515656, 0.016632937881208943, 0.01663316076596217, 0.016633560626205485, 0.016634148824500133, 0.0166349370239352, 0.016635937045380637, 0.016637160671203261, 0.016638619385735721, 0.016640324043244701, 0.016642284455760284, 0.016644508896345896, 0.016647003518666645, 0.016649771701433599, 0.016652813336642727, 0.016656124093283028, 0.016659694702577232, 0.016663510325304061, 0.016667550073974913, 0.016671786769543513, 0.016676187010563819, 0.016680711619357448, 0.016685316503265178, 0.016689953930240517, 0.016694574170681271, 0.016699127408178024, 0.016703565779390785, 0.016707845376209753, 0.01671192803818522, 0.016715782782273543, 0.016719386757564729, 0.016722725667655643, 0.016725793662851995, 0.016728592758367196, 0.016731131875228528, 0.016733425623413557, 0.016735492951479077, 0.016737355776494947, 0.016739037687248697, 0.016740562787730305, 0.016741954721495728, 0.016743235894021345, 0.016744426891524316, 0.016745546081574112, 0.016746609372856217, 0.016747630107812175, 0.016748619061486336, 0.016749584521686785, 0.016750532428591237, 0.016751466555483464, 0.016752388715889747, 0.016753298985683139, 0.016754195931567156, 0.016755076839679358, 0.016755937939877053, 0.016756774622632687, 0.016757581646446015, 0.016758353334351928, 0.016759083758539729, 0.016759766912369387, 0.016760396869226118, 0.016760967927741999, 0.016761474742962402, 0.01676191244306911, 0.01676227673130376, 0.016762563972770959, 0.016762771265843076, 0.016762896497936164, 0.016762938385477377, 0.016762941415573083, 0.016762950565885726, 0.016762966016644378, 0.016762988068742213, 0.016763017144513927, 0.016763053788845222, 0.016763098670635985, 0.01676315258464587, 0.016763216453758875, 0.016763291331711686, 0.01676337840634054, 0.016763479003411606, 0.016763594591112096, 0.016763726785292907, 0.016763877355568588, 0.016764048232398583, 0.016764241515292828, 0.016764459482308532, 0.016764704601030727, 0.016764979541260338, 0.016765287189668972, 0.016765630666721574, 0.016766013346217721, 0.016766438877860588, 0.016766911213332809, 0.016767434636441796, 0.016768013797998263, 0.016768653756213482, 0.016769360023549052, 0.016770138621134845, 0.016770996142092546, 0.016771939825377401, 0.016772977642090809, 0.016774118396640059, 0.016775371845652372, 0.016776748838218072, 0.016778261481883449, 0.016779923339890077, 0.016781749666537261, 0.016783757689323203, 0.016785966948831697, 0.01678839971035492, 0.01679108146523043, 0.01679404154517309, 0.016797313879995709, 0.016800937938744598, 0.016804959907451497, 0.016809434174917502, 0.016814425223416293, 0.016820010057263083, 0.016826281353925009, 0.016833351597619568, 0.016841358566580016, 0.016850472712311833, 0.016860907224951944, 0.016872931978164273, 0.016886893184205057, 0.016903241631444278, 0.016922574125716124, 0.016945695783027202, 0.01697371623574416, 0.017008202878173562, 0.01705143381285985, 0.017106833028792737, 0.017179756614532461, 0.017278998873803523, 0.017419891531642931, 0.017631278031194523, 0.017973126880978477, 0.018588462357408013, 0.019894116260244909, 0.023562290446785056, 0.041069632309244493, 0.069533038026924385, 0.025780745019017833, 0.019440784674855792, 0.01784730214621192, 0.017254821918734214, 0.016982309088103463, 0.016839514008484859, 0.016757915032459211, 0.016708370977907141, 0.016676948128328133, 0.01665637842320666, 0.016642607507205583, 0.016633249993126431, 0.016626840471329857, 0.016622446033907983, 0.016619454808551759, 0.016617455251185773, 0.016616164561101553, 0.016615384807878986, 0.01661497526191193, 0.016614834500723732, 0.016614888577956739, 0.016615083045348356, 0.016615377477428916, 0.016615741654047056, 0.016616152860643638, 0.016616593954306442, 0.016617051962165359, 0.016617517054798931, 0.016617981787051296, 0.016618440531669429, 0.016618889053408158, 0.016619324186433783, 0.01661974358835552, 0.016620145551557535, 0.016620528857697076, 0.016620892664943317, 0.016621236420206478, 0.016621559790551944, 0.016621862609421736, 0.016622144834340685, 0.016622406513570134, 0.016622647759761581, 0.016622868729107256, 0.016623069604822502, 0.016623250584053291, 0.016623411867500541, 0.016623553651206862, 0.016623676120070496, 0.016623779442745665, 0.016623863767662034, 0.016623929219955341, 0.016623975899149199, 0.016624003877466799, 0.01662401319868444, 0.016624003877466799, 0.016623975899149199, 0.016623929219955341, 0.016623863767662034, 0.016623779442745675, 0.016623676120070499, 0.016623553651206862, 0.016623411867500541, 0.016623250584053284, 0.016623069604822505, 0.016622868729107256, 0.016622647759761588, 0.016622406513570134, 0.016622144834340685, 0.016621862609421729, 0.016621559790551941, 0.016621236420206482, 0.016620892664943321, 0.016620528857697072, 0.016620145551557539, 0.016619743588355527, 0.016619324186433786, 0.016618889053408161, 0.016618440531669429, 0.016617981787051293, 0.016617517054798931, 0.016617051962165359, 0.016616593954306442, 0.016616152860643638, 0.016615741654047056, 0.016615377477428916, 0.016615083045348356, 0.016614888577956739, 0.016614834500723732, 0.016614975261911937, 0.016615384807878993, 0.016616164561101553, 0.01661745525118578, 0.016619454808551763, 0.016622446033907983, 0.016626840471329857, 0.016633249993126441, 0.01664260750720558, 0.016656378423206664, 0.016676948128328119, 0.01670837097790712, 0.016757915032459193, 0.016839514008484813, 0.016982309088103501, 0.017254821918733797, 0.017847302146210949, 0.01944078467485276, 0.02578074501901979, 0.069533038026906843, 0.041069632309250488, 0.023562290446780688, 0.019894116260244326, 0.018588462357408336, 0.017973126880978602, 0.017631278031194762, 0.017419891531643059, 0.017278998873803492, 0.017179756614532499, 0.017106833028792724, 0.017051433812859847, 0.017008202878173558, 0.016973716235744174, 0.016945695783027202, 0.016922574125716142, 0.016903241631444264, 0.016886893184205061, 0.016872931978164279, 0.016860907224951944, 0.016850472712311829, 0.016841358566580013, 0.016833351597619575, 0.016826281353925016, 0.01682001005726309, 0.01681442522341629, 0.016809434174917506, 0.016804959907451494, 0.016800937938744598, 0.016797313879995713, 0.016794041545173086, 0.01679108146523043, 0.016788399710354923, 0.016785966948831697, 0.016783757689323206, 0.016781749666537258, 0.016779923339890073, 0.016778261481883452, 0.016776748838218069, 0.016775371845652365, 0.016774118396640062, 0.016772977642090806, 0.016771939825377395, 0.016770996142092549, 0.016770138621134852, 0.016769360023549052, 0.016768653756213475, 0.016768013797998266, 0.016767434636441793, 0.016766911213332809, 0.016766438877860588, 0.016766013346217717, 0.016765630666721574, 0.016765287189668965, 0.016764979541260338, 0.016764704601030724, 0.016764459482308532, 0.016764241515292832, 0.016764048232398583, 0.016763877355568588, 0.0167637267852929, 0.016763594591112096, 0.016763479003411595, 0.016763378406340537, 0.016763291331711686, 0.016763216453758875, 0.016763152584645873, 0.016763098670635978, 0.016763053788845225, 0.01676301714451393, 0.016762988068742216, 0.016762966016644378, 0.016762950565885719, 0.016762941415573079, 0.016762938385477381, 0.016762939899558741, 0.016762944460209199, 0.016762952122660359, 0.016762962979006799, 0.016762977158269486, 0.016762994826485932, 0.016763016186828496, 0.016763041479752418, 0.016763070983175896, 0.016763105012694884, 0.016763143921835547, 0.016763188102348184, 0.016763237984546622, 0.016763294037697933, 0.016763356770467634, 0.016763426731426584, 0.016763504509626031, 0.016763590735248541, 0.016763686080342864, 0.016763791259652088, 0.016763907031545032, 0.016764034199062357, 0.016764173611089374, 0.016764326163669449, 0.016764492801472654, 0.016764674519436279, 0.016764872364595156, 0.016765087438121676, 0.016765320897597379, 0.016765573959540155, 0.016765847902213665, 0.016766144068748184, 0.01676646387060542, 0.016766808791423064, 0.016767180391278867, 0.016767580311418603, 0.016768010279496925, 0.016768472115386259, 0.016768967737614878, 0.016769499170503174, 0.0167700685520751, 0.016770678142831768, 0.016771330335485165, 0.016772027665762527, 0.016772772824406975, 0.016773568670516589, 0.01677441824638402, 0.01677532479402144, 0.016776291773582089, 0.016777322883920583, 0.016778422085570208, 0.016779593626457673, 0.016780842070725291, 0.016782172331089043, 0.016783589705229644, 0.016785099916795554, 0.016786709161693336, 0.016788424160456384, 0.016790252217620462, 0.016792201289199858, 0.016794280059556528, 0.016796498029194262, 0.01679886561530089, 0.016801394267214862, 0.016804096599424757, 0.016806986545240352, 0.016810079534927261, 0.016813392702905949, 0.016816945129622809, 0.01682075812495961, 0.01682485556163069, 0.016829264269018727, 0.016834014500445613, 0.016839140490132968, 0.016844681120303913, 0.016850680724321162, 0.01685719005886863, 0.016864267487546779, 0.016871980430678918, 0.016880407152760922, 0.016889638981460904, 0.016899783082731202, 0.016910965958848754, 0.016923337895084732, 0.01693707866374361, 0.016952404912910758, 0.016969579838966926, 0.016988925994253504, 0.017010842458016026, 0.017035828171107808, 0.017064514121077075, 0.017097708464921552, 0.017136460941707489, 0.01718215668294857, 0.017236655932757815, 0.017302507456003393, 0.017383283940232648, 0.017484126616492238, 0.017612663545134046, 0.017780627483363037, 0.018006858225727465, 0.018323232388295228, 0.01878730157176723, 0.019511914126326878, 0.020743628839952732, 0.023106297933542522, 0.02853633829295044, 0.044797086719672453, 0.091281460312694226, 0.059912840171420366, 0.030647488074864667, 0.022636581540305508, 0.019763469032619538, 0.018472021874632951, 0.017799003095444344, 0.017411081944992812, 0.017170754973316552, 0.017013633811705946, 0.016906568200612995, 0.016831191851841766, 0.016776718183060549, 0.01673650449725728, 0.016706296077921116, 0.016683276124814989, 0.016665526491117116, 0.016651708862837379, 0.016640869533484703, 0.016632316152632543, 0.016615868238783145, 0.016607640476141539, 0.01660372548134224, 0.016602177180588311, 0.016601962517526124, 0.016602505685770118, 0.016603473407982534, 0.016604667079613267, 0.016605965687917532, 0.016607294270611236, 0.016608605847194834, 0.016609870749424147, 0.01661107015747168, 0.016612192098216818, 0.016613228922021699, 0.01661417568690117, 0.01661502911000429, 0.016615786879267597, 0.016616447196490445, 0.016617008470318738, 0.016617469106647857, 0.016617827362115374, 0.016618081237922602, 0.016618228398757116, 0.016618266106666241, 0.016618191163394268, 0.016617999857710342, 0.01661768791731507, 0.016617250468841143, 0.016616682015468232, 0.016615976451809216, 0.016615127153741895, 0.016614127213915569, 0.016612969955908375, 0.016611649980432627, 0.016610165237210855, 0.016608521112953748, 0.01660673859820045, 0.016604871031498727, 0.016603039802239296, 0.016601514704909479, 0.016600908358034103, 0.016602694531937516, 0.016610786813250893, 0.016637361123443606, 0.016731827484873146, 0.017231799069671934, 0.029859314994818847, 0.020187649447472665, 0.017462872219587221, 0.017035940742345518, 0.016885602046150056, 0.016812715710198895, 0.016770687406695729, 0.016743660670603473, 0.01672493194354064, 0.016711230827168716, 0.016700790492940567, 0.016692580642445064, 0.016685963777333765, 0.016680526355335172, 0.016675989591684745, 0.016672159462144412, 0.016668897266600636, 0.01666610156317749, 0.016663696679443257, 0.016661625177745994, 0.016659842778865532, 0.016658314859705557, 0.016657013985466922, 0.01665591813771377, 0.016655009420467895, 0.016654273100953479, 0.016653696888691762, 0.016653270387055732, 0.016652984671431743, 0.016652831961578657, 0.016652805364946375, 0.016652898674068932, 0.016653106205611837, 0.016653422671832566, 0.016653843077504626, 0.016654362637027739, 0.016654976707679424, 0.016655680735881737, 0.016656470214048529, 0.016657340646103729, 0.016658287520163344, 0.016659306287185219, 0.016660392344632534, 0.016661541024386804, 0.016662747584296207, 0.016664007202863651, 0.016665314976673361, 0.016666665920230611, 0.016668054967948695, 0.016669476978065641, 0.016670926738310551, 0.016672398973169158, 0.016673888352620878, 0.016675389502236553, 0.016676897014538155, 0.016678405461529738, 0.016679909408313733, 0.016681403427707433, 0.016682882115774587, 0.016684340108183406, 0.016685772097297671, 0.016687172849902013, 0.016688537225455422, 0.016689860194759452, 0.016691136858920368, 0.016692362468476756, 0.016693532442556891, 0.016694642387924282, 0.016695688117764205, 0.016696665670060208, 0.016697571325407563, 0.016698401624109325, 0.016699153382402986, 0.016699823707668326, 0.016700410012473299, 0.016700910027322286, 0.016701321811980835, 0.016701643765263563, 0.016701874633185069, 0.01670201351538976, 0.016702059869793784, 0.016702028964222352, 0.01670193633660124, 0.016701782253931714, 0.016701567160290764, 0.016701291675449807, 0.01670095659295431, 0.016700562877676937, 0.016700111662860978, 0.016699604246673584, 0.016699042088291514, 0.016698426803544972, 0.016697760160147505, 0.016697044072541918, 0.016696280596394258, 0.016695471922769101, 0.016694620372020817, 0.016693728387435578, 0.016692798528660006, 0.016691833464951549, 0.016690835968285741, 0.016689808906354478, 0.016688755235488278, 0.016687677993534288, 0.016686580292719431, 0.016685465312526467, 0.016684336292608244, 0.016683196525762445, 0.016682049350986432, 0.016680898146628736, 0.016679746323650151, 0.016678597319003896, 0.016677454589140883, 0.0166763216036417, 0.016675201838973568, 0.016674098772365989, 0.016673015875794606, 0.016671956610058828, 0.01667092441893402, 0.016669922723374812, 0.01666895491574168, 0.01666802435401829, 0.016667134355982879, 0.016666288193292304, 0.016665489085433229, 0.016664740193490696, 0.016664044613680377, 0.016663405370587022, 0.016662825410048591, 0.016662307591622381, 0.016661854680567915, 0.016661469339279388, 0.016661154118100908, 0.016660911445458417, 0.016660743617244855, 0.016660652785399754, 0.016660640945631106, 0.016660709924236565, 0.016660861363993522, 0.016661096709103297, 0.016661417189194342, 0.01666182380241308, 0.016662317297659848, 0.016662898156060518, 0.016663566571803089, 0.016664322432512115, 0.016665165299382497, 0.01666609438734689, 0.01666710854560784, 0.016668206238924656, 0.016669385530104872, 0.016670644064208529, 0.016671979055028121, 0.016673387274454329, 0.01667486504537443, 0.016676408238772551, 0.016678012275704306, 0.016679672134799386, 0.016681382365900055, 0.016683137110368285, 0.016684930128487339, 0.016686754834244168, 0.016688604337607577, 0.016690471494217003, 0.016692348962172514, 0.016694229265375705, 0.016696104862622751, 0.01669796822140563, 0.016699811895148457, 0.016701628602404851, 0.016703411306382039, 0.016705153293049564, 0.0167068482460432, 0.016708490316594268, 0.016710074186803994, 0.016711595124738743, 0.016713049030040655, 0.016714432469018652, 0.016715742698495663, 0.016716977678022236, 0.016718136070410432, 0.016719217230877194, 0.016720221185398142, 0.016721148599148392, 0.016722000736134841, 0.016722779411298124, 0.016723486936478016, 0.016724126061692463, 0.016724699913182359, 0.016725211929624378, 0.016725665797823076, 0.016726065389067023, 0.016726414697183535, 0.01672671777916054, 0.01672697869903159, 0.016727201475548875, 0.016727390034006119, 0.016727548162422896, 0.016727679472169688, 0.016727787362999871, 0.01672787499236306, 0.016727945248804357, 0.016728000729204634, 0.016728043719588255, 0.016728076179212906, 0.01672809972766243, 0.016728115634682388, 0.016728124812529492, 0.016728127810647433], [0.016510992501492829, 0.01651095184390591, 0.016510829966905304, 0.016510627157430315, 0.016510343892578945, 0.016509980837917389, 0.016509538845135101, 0.016509018949066322, 0.016508422364105203, 0.016507750480047042, 0.016507004857392683, 0.016506187222158426, 0.016505299460237745, 0.016504343611365005, 0.016503321862734597, 0.016502236542332106, 0.016501090112036293, 0.016499885160552633, 0.016498624396240936, 0.016497310639900255, 0.016495946817575567, 0.016494535953450375, 0.016493081162890409, 0.016491585645702581, 0.0164900526796736, 0.016488485614452229, 0.016486887865838337, 0.016485262910542045, 0.016483614281475528, 0.016481945563639962, 0.016480260390670527, 0.01647856244210218, 0.016476855441420149, 0.016475143154960004, 0.016473429391723807, 0.016471718004180486, 0.016470012890121781, 0.016468317995647082, 0.016466637319354348, 0.016464974917817368, 0.016463334912433247, 0.016461721497727094, 0.016460138951203684, 0.016458591644837182, 0.016457084058289901, 0.016455620793947679, 0.016454206593852723, 0.01645284635860177, 0.016451545168257104, 0.0164503083052874, 0.016449141279510509, 0.016448049854948077, 0.016447040078415714, 0.016446118309557105, 0.016445291251876291, 0.016444565984122261, 0.016443949991120824, 0.0164434511928198, 0.016443077969900789, 0.016442839183801617, 0.016442744188375616, 0.016442802829680119, 0.01644302542953625, 0.016443422747549105, 0.016444005915254464, 0.016444786335029382, 0.016445775535474029, 0.016446984974299608, 0.01644842577956751, 0.016450108420714673, 0.016452042302538595, 0.016454235278618803, 0.016456693085939413, 0.016459418710082326, 0.016462411700405209, 0.016465667466844795, 0.016469176603579501, 0.01647292429822066, 0.016476889896199522, 0.016481046695687337, 0.016485362045633986, 0.016489797805731229, 0.016494311201067327, 0.016498856066950594, 0.016503384434618726, 0.016507848362724509, 0.016512201880634705, 0.016516402885621909, 0.016520414832716088, 0.01652420807516896, 0.016527760752397484, 0.016531059174080005, 0.0165340977046038, 0.01653687820207575, 0.016539409103431175, 0.016541704267991203, 0.016543781695915177, 0.01654566222809134, 0.016547368314542572, 0.016548922914261403, 0.016550348564809858, 0.016551666638132966, 0.016552896781617091, 0.016554056531075792, 0.01655516107480071, 0.016556223144294138, 0.01655725300681004, 0.016558258536383819, 0.016559245342771905, 0.016560216940984394, 0.016561174947405759, 0.016562119291561941, 0.016563048435244292, 0.016563959592880231, 0.016564848948751515, 0.016565711867948273, 0.016566543098875119, 0.016567336965767107, 0.016568087550096949, 0.01656878886002314, 0.016569434987193089, 0.016570020250317386, 0.016570539324999255, 0.01657098735935842, 0.016571360075041074, 0.016571653853262647, 0.016571865805588785, 0.016571993829218975, 0.016572036646595994, 0.016572039209419454, 0.016572046956450918, 0.016572060063510963, 0.016572078824094033, 0.016572103650068132, 0.016572135072673522, 0.016572173743840096, 0.016572220437849665, 0.016572276053376519, 0.016572341615947461, 0.016572418280871349, 0.016572507336698253, 0.016572610209279116, 0.016572728466509958, 0.016572863823858176, 0.016573018150785504, 0.016573193478199653, 0.016573392007088683, 0.016573616118515416, 0.016573868385177749, 0.016574151584772941, 0.0165744687154415, 0.016574823013611364, 0.016575217974615142, 0.016575657376515781, 0.016576145307650815, 0.016576686198494874, 0.016577284858548473, 0.016577946519092397, 0.016578676882807269, 0.016579482181453671, 0.01658036924304971, 0.016581345570281004, 0.016582419432248332, 0.016583599972120954, 0.016584897333843319, 0.016586322811775602, 0.016587889028077105, 0.016589610143828031, 0.016591502111408838, 0.01659358297762795, 0.016595873249656723, 0.016598396339201873, 0.016601179104806473, 0.016604252518124366, 0.016607652488030023, 0.016611420887328102, 0.016615606841803927, 0.016620268362160129, 0.016625474428624238, 0.016631307679632855, 0.016637867916055277, 0.016645276720366826, 0.016653683621043483, 0.01666327443057113, 0.016674282691149556, 0.016687005643701486, 0.016701826911834246, 0.016719249375026585, 0.01673994388555777, 0.016764823307967764, 0.016795158309466988, 0.016832764476952925, 0.016880316381458395, 0.016941898639099014, 0.017024025123252028, 0.017137647875993259, 0.017302439837803048, 0.017556877868535839, 0.01798527724331803, 0.018804425846807069, 0.020724005156540798, 0.027215945351271767, 0.065986149333823033, 0.040383662520371295, 0.021592274633380589, 0.018329003133789105, 0.017329301754343763, 0.016916954238870394, 0.016715238549995504, 0.016605236728881229, 0.016540643337817112, 0.016500672605511961, 0.016474985047434696, 0.016458022435932248, 0.016446610027802729, 0.016438844186681761, 0.016433537219330822, 0.016429923293132909, 0.016427494740723671, 0.016425907048155421, 0.016424921698222735, 0.016424370705316459, 0.016424134006973064, 0.01642412470474312, 0.016424279224316704, 0.016424550631208994, 0.016424904013252202, 0.016425313242392325, 0.016425758672697396, 0.016426225483661263, 0.016426702474549942, 0.016427181178065697, 0.016427655202732871, 0.016428119740880969, 0.016428571197710563, 0.01642900690970156, 0.016429424929497671, 0.016429823860636537, 0.016430202729922263, 0.016430560888411896, 0.016430897934284532, 0.016431213652538638, 0.016431507967696837, 0.016431780906612035, 0.016432032569151982, 0.016432263105052792, 0.016432472695620582, 0.016432661539256408, 0.016432829840006411, 0.016432977798513989, 0.016433105604886311, 0.016433213433093931, 0.016433301436605274, 0.016433369745024476, 0.016433418461554737, 0.016433447661152418, 0.016433457389274462, 0.016433447661152421, 0.016433418461554737, 0.016433369745024476, 0.01643330143660527, 0.016433213433093945, 0.016433105604886315, 0.016432977798513989, 0.016432829840006411, 0.016432661539256405, 0.016432472695620585, 0.016432263105052788, 0.016432032569151989, 0.016431780906612035, 0.016431507967696837, 0.016431213652538641, 0.016430897934284528, 0.0164305608884119, 0.01643020272992227, 0.016429823860636534, 0.016429424929497668, 0.01642900690970156, 0.01642857119771057, 0.016428119740880973, 0.016427655202732868, 0.016427181178065697, 0.016426702474549942, 0.01642622548366126, 0.016425758672697393, 0.016425313242392329, 0.016424904013252192, 0.016424550631208998, 0.016424279224316704, 0.016424124704743116, 0.016424134006973058, 0.016424370705316462, 0.016424921698222739, 0.016425907048155421, 0.016427494740723674, 0.016429923293132913, 0.016433537219330819, 0.016438844186681761, 0.016446610027802733, 0.016458022435932244, 0.0164749850474347, 0.016500672605511947, 0.016540643337817088, 0.016605236728881208, 0.016715238549995435, 0.016916954238870439, 0.017329301754343097, 0.018329003133787332, 0.021592274633373862, 0.040383662520379081, 0.065986149333839783, 0.027215945351273692, 0.020724005156538678, 0.018804425846806683, 0.017985277243318241, 0.017556877868535936, 0.017302439837803229, 0.017137647875993367, 0.017024025123251997, 0.016941898639099045, 0.016880316381458382, 0.016832764476952925, 0.016795158309466984, 0.016764823307967781, 0.016739943885557773, 0.016719249375026602, 0.01670182691183424, 0.016687005643701486, 0.01667428269114956, 0.016663274430571133, 0.016653683621043476, 0.016645276720366826, 0.016637867916055281, 0.016631307679632862, 0.016625474428624248, 0.016620268362160132, 0.01661560684180393, 0.016611420887328095, 0.016607652488030023, 0.01660425251812437, 0.016601179104806477, 0.016598396339201873, 0.01659587324965673, 0.01659358297762795, 0.016591502111408845, 0.016589610143828041, 0.016587889028077108, 0.016586322811775599, 0.016584897333843319, 0.016583599972120954, 0.016582419432248328, 0.016581345570280993, 0.016580369243049706, 0.016579482181453671, 0.016578676882807272, 0.016577946519092401, 0.01657728485854847, 0.016576686198494874, 0.016576145307650815, 0.016575657376515784, 0.016575217974615142, 0.016574823013611364, 0.016574468715441496, 0.016574151584772937, 0.016573868385177756, 0.016573616118515409, 0.016573392007088687, 0.016573193478199657, 0.016573018150785507, 0.01657286382385818, 0.016572728466509951, 0.016572610209279116, 0.016572507336698246, 0.016572418280871349, 0.016572341615947454, 0.016572276053376515, 0.016572220437849665, 0.016572173743840093, 0.016572135072673525, 0.016572103650068136, 0.01657207882409403, 0.01657206006351096, 0.016572046956450922, 0.016572039209419451, 0.016572036646596001, 0.016572037927069027, 0.016572041786496471, 0.016572048278914092, 0.016572057494416939, 0.016572069559213205, 0.016572084635700778, 0.01657210292256784, 0.016572124654918995, 0.016572150104429008, 0.016572179579526596, 0.016572213425611045, 0.016572252025305097, 0.016572295798747753, 0.016572345203931603, 0.01657240073708938, 0.016572462933135398, 0.016572532366168125, 0.016572609650040732, 0.016572695439007339, 0.016572790428453589, 0.016572895355720679, 0.016573011001033696, 0.016573138188545229, 0.016573277787507158, 0.016573430713584372, 0.016573597930325458, 0.016573780450807384, 0.016573979339472061, 0.016574195714175333, 0.016574430748470235, 0.016574685674149041, 0.016574961784070856, 0.016575260435304377, 0.016575583052618588, 0.016575931132357412, 0.016576306246738642, 0.016576710048621629, 0.016577144276793285, 0.016577610761827788, 0.016578111432581862, 0.016578648323394861, 0.016579223582071385, 0.016579839478734083, 0.016580498415645257, 0.016581202938108882, 0.016581955746579388, 0.01658275971012094, 0.016583617881380443, 0.016584533513260918, 0.016585510077508282, 0.016586551285456282, 0.016587661111210284, 0.016588843817593821, 0.016590103985231672, 0.016591446545202504, 0.016592876815763803, 0.016594400543734462, 0.016596023951218505, 0.016597753788470161, 0.016599597393840464, 0.016601562761912898, 0.016603658621136913, 0.016605894522512373, 0.016608280941172154, 0.01661082939307031, 0.016613552569421722, 0.016616464492078455, 0.016619580693692553, 0.016622918427338332, 0.016626496911292137, 0.016630337615950126, 0.016634464601477925, 0.016638904916827565, 0.016643689073354687, 0.016648851609596334, 0.016654431768057948, 0.016660474310424892, 0.016667030504891635, 0.016674159328891214, 0.016681928943245147, 0.01669041851082155, 0.016699720455867744, 0.016709943291698358, 0.016721215187903527, 0.0167336885089127, 0.016747545641415607, 0.016763006550660025, 0.016780338683299856, 0.016799870095930869, 0.016822007079515897, 0.016847258145138492, 0.016876267160000302, 0.016909859885582707, 0.016949110541570545, 0.016995438962867766, 0.017050755662772157, 0.017117684024195608, 0.01719991062534313, 0.017302756195935767, 0.017434142450447679, 0.017606304129187653, 0.017838985368845098, 0.018165799262288094, 0.018647906040968509, 0.019406445527953016, 0.020709698008720634, 0.023249376146570001, 0.029230067306695778, 0.047709833118938227, 0.094341489824264949, 0.054321347745547241, 0.028993742602038339, 0.021953146875388269, 0.01935782312913369, 0.018170008172270165, 0.017543571535311313, 0.017179513415536175, 0.01695263529027384, 0.016803662793338229, 0.016701822459607111, 0.016629953014847473, 0.016577922747897891, 0.016539465616405784, 0.01651055399730517, 0.016488513570449219, 0.016471518679121895, 0.016458292844458568, 0.016447924778807955, 0.016428155842560663, 0.01641832014399331, 0.01641359448963953, 0.01641163336119978, 0.016411214497578427, 0.016411666616414394, 0.016412605833658958, 0.016413805677554287, 0.016415129337822774, 0.01641649270745113, 0.016417843442824022, 0.016419148716034618, 0.016420387856496747, 0.016421547828754598, 0.016422620399634377, 0.016423600334734476, 0.016424484234326273, 0.016425269772864456, 0.016425955196501335, 0.016426538986976567, 0.016427019633212615, 0.016427395472447176, 0.016427664575721694, 0.016427824660955343, 0.01642787302246803, 0.016427806469849336, 0.016427621272359229, 0.016427313108357513, 0.016426877023488363, 0.016426307407814818, 0.016425598013050394, 0.016424742050587065, 0.016423732447068386, 0.016422562402522087, 0.016421226528949173, 0.016419723114195321, 0.016418058612327275, 0.016416256673606789, 0.016414376809065007, 0.016412554588372645, 0.016411093248342008, 0.016410688899766421, 0.016413043635777159, 0.01642278739785577, 0.016454873712380882, 0.016574072766166896, 0.017293270473970362, 0.049528349242928767, 0.018901518908914065, 0.017150116732134794, 0.016808052804991324, 0.016678394420640837, 0.016613149021762717, 0.016574667805264155, 0.016549543809692837, 0.016531942738273749, 0.016518960311566949, 0.016509003972358709, 0.016501134367948107, 0.016494764993163227, 0.016489512592578352, 0.016485117239965191, 0.016481397125769442, 0.016478221729914744, 0.016475495247669392, 0.016473145988918157, 0.016471119391019098, 0.016469373290522532, 0.016467874648200088, 0.016466597233316893, 0.016465519955676199, 0.016464625644190781, 0.016463900139044921, 0.016463331607856246, 0.016462910024347913, 0.016462626766618259, 0.016462474304596769, 0.016462445954827643, 0.016462535686662297, 0.016462737968126358, 0.016463047642712652, 0.016463459830509043, 0.016463969848646769, 0.016464573147219899, 0.016465265257696128, 0.016466041751494735, 0.016466898206906708, 0.016467830182914256, 0.01646883319876416, 0.01646990271837967, 0.01647103413887769, 0.016472222782601114, 0.016473463892189941, 0.016474752628305611, 0.016476084069695283, 0.016477453215340533, 0.016478854988480951, 0.016480284242339611, 0.016481735767405321, 0.016483204300149035, 0.016484684533067451, 0.016486171125958727, 0.016487658718342665, 0.016489141942942178, 0.016490615440143599, 0.016492073873352987, 0.016493511945161986, 0.016494924414232288, 0.01649630611280169, 0.0164976519647081, 0.016498957003820022, 0.016500216392754865, 0.016501425441758918, 0.01650257962761531, 0.016503674612440625, 0.016504706262225277, 0.016505670664968705, 0.016506564148258733, 0.01650738329614268, 0.016508124965140532, 0.016508786299252714, 0.016509364743821125, 0.016509858058109776, 0.016510264326480634, 0.016510581968052853, 0.016510809744746637, 0.016510946767628619, 0.016510992501492829, 0.016510962009649719, 0.016510870622103199, 0.016510718602527428, 0.016510506389467494, 0.016510234594978003, 0.016509904002730308, 0.016509515565600867, 0.016509070402757193, 0.016508569796260742, 0.016508015187209044, 0.016507408171442344, 0.016506750494842227, 0.016506044048251959, 0.016505290862049906, 0.016504493100408926, 0.016503653055275888, 0.016502773140105433, 0.016501855883383515, 0.01650090392197516, 0.016499919994331026, 0.016498906933586393, 0.01649786766058501, 0.016496805176858888, 0.01649572255759307, 0.016494622944602508, 0.016493509539345797, 0.016492385595997583, 0.016491254414598883, 0.016490119334301129, 0.016488983726716724, 0.016487850989385013, 0.016486724539359263, 0.016485607806915967, 0.01648450422938437, 0.016483417245089553, 0.016482350287398244, 0.016481306778852848, 0.01648029012537397, 0.016479303710507966, 0.016478350889691459, 0.016477434984500189, 0.016476559276845316, 0.016475727003075934, 0.016474941347942178, 0.016474205438369451, 0.0164735223369901, 0.016472895035375641, 0.016472326446909238, 0.016471819399235664, 0.016471376626223957, 0.016471000759376998, 0.01647069431862214, 0.016470459702418477, 0.016470299177119167, 0.016470214865531969, 0.016470208734628556, 0.016470282582362432, 0.016470438023568325, 0.016470676474932108, 0.016470999139040078, 0.016471406987540984, 0.01647190074348287, 0.016472480862920601, 0.016473147515928467, 0.016473900567196092, 0.016474739556433991, 0.016475663678867797, 0.016476671766155838, 0.016477762268122777, 0.016478933235760228, 0.016480182306001734, 0.016481506688831506, 0.016482903157330892, 0.016484368041299862, 0.016485897225109382, 0.016487486150440038, 0.016489129824539157, 0.016490822834579262, 0.016492559368621741, 0.016494333243579896, 0.016496137940433957, 0.016497966646778637, 0.016499812306584424, 0.016501667676832164, 0.016503525390444192, 0.016505378024693138, 0.016507218174032962, 0.01650903852607764, 0.016510831939263039, 0.016512591520579847, 0.016514310701669022, 0.016515983311536107, 0.016517603644169942, 0.016519166519449076, 0.016520667335880493, 0.016522102113936326, 0.016523467529023624, 0.016524760933428265, 0.01652598036690155, 0.016527124555890792, 0.01652819290173875, 0.016529185458474708, 0.016530102901081607, 0.016530946485337605, 0.016531718000491712, 0.016532419716137114, 0.016533054324693635, 0.016533624880905647, 0.016534134739708058, 0.016534587493719895, 0.016534986911499246, 0.016535336877545548, 0.016535641334873126, 0.016535904230812637, 0.016536129466532004, 0.016536320850611515, 0.01653648205686414, 0.016536616586465665, 0.016536727734351882, 0.016536818559752992, 0.016536891860669915, 0.01653695015205052, 0.016536995647397794, 0.016537030243531682, 0.016537055508233093, 0.016537072670517652, 0.016537082613317527, 0.016537085868389947], [0.016197065070664762, 0.0161970249296262, 0.016196904600986595, 0.01619670436783744, 0.016196424700878623, 0.016196066256750106, 0.01619562987571789, 0.016195116578734917, 0.016194527563903754, 0.016193864202373332, 0.016193128033706379, 0.016192320760759486, 0.016191444244121715, 0.0161905004961614, 0.016189491674733991, 0.016188420076607209, 0.016187288130661441, 0.016186098390925805, 0.016184853529511507, 0.016183556329505397, 0.016182209677887291, 0.016180816558534778, 0.016179380045379898, 0.01617790329578133, 0.016176389544175773, 0.016174842096071892, 0.016173264322449331, 0.016171659654625446, 0.016170031579651627, 0.016168383636301093, 0.016166719411710297, 0.016165042538735915, 0.016163356694090688, 0.016161665597321906, 0.016159973010698332, 0.016158282740072458, 0.016156598636788234, 0.016154924600706343, 0.016153264584422306, 0.016151622598755938, 0.016150002719593611, 0.016148409096167597, 0.016146845960858955, 0.016145317640611126, 0.016143828570040469, 0.016142383306325805, 0.016140986545951048, 0.016139643143360902, 0.016138358131567925, 0.016137136744716857, 0.016135984442565841, 0.016134906936779686, 0.016133910218842577, 0.016133000589279967, 0.016132184687724094, 0.016131469523155889, 0.016130862503397042, 0.016130371462598252, 0.016130004685060952, 0.016129770923227475, 0.016129679407069379, 0.016129739841388473, 0.01612996238672286, 0.016130357618636584, 0.016130936459202154, 0.016131710073526238, 0.016132689723326918, 0.016133886569003657, 0.01613531141157102, 0.016136974366540813, 0.016138884463688569, 0.016141049170018622, 0.016143473838531819, 0.016146161092886514, 0.0161491101677993, 0.01615231623675158, 0.016155769771410738, 0.016159455989629461, 0.016163354458753755, 0.016167438925517707, 0.016171677440175596, 0.01617603282840294, 0.016180463538931954, 0.016184924859057287, 0.016189370447813385, 0.016193754093911529, 0.016198031569948378, 0.016202162433210345, 0.016206111621701519, 0.016209850713245953, 0.016213358752818575, 0.016216622602135789, 0.016219636817435469, 0.016222403107804654, 0.016224929460847481, 0.016227229041516605, 0.01622931897346257, 0.016231219102853724, 0.016232950826400666, 0.016234536042776835, 0.016235996263702705, 0.016237351900521897, 0.016238621725787761, 0.01623982249776203, 0.016240968728569484, 0.016242072573344608, 0.016243143817135347, 0.016244189937684898, 0.016245216224698742, 0.016246225939201529, 0.016247220499651459, 0.016248199684327197, 0.016249161841976778, 0.016250104104758009, 0.016251022599106383, 0.016251912651379416, 0.016252768986005018, 0.016253585914473883, 0.016254357513925989, 0.016255077794349135, 0.016255740853580454, 0.016256341019419716, 0.016256872978251003, 0.016257331889647099, 0.016257713486505142, 0.016258014160337651, 0.01625823103141778, 0.016258362003548899, 0.016258405803293036, 0.016258407912565331, 0.016258414297639971, 0.016258425130413402, 0.016258440697792625, 0.016258461402323066, 0.016258487763084917, 0.016258520416875696, 0.016258560119702913, 0.016258607748617253, 0.016258664303923857, 0.016258730911817836, 0.01625880882749902, 0.016258899438831617, 0.016259004270626213, 0.01625912498963451, 0.016259263410362719, 0.016259421501825942, 0.0162596013953859, 0.016259805393835994, 0.016260035981923594, 0.016260295838528595, 0.016260587850751837, 0.016260915130206853, 0.01626128103185594, 0.016261689175787263, 0.016262143472396486, 0.016262648151516547, 0.016263207796135055, 0.016263827381455567, 0.016264512320200729, 0.016265268515227849, 0.016266102420740534, 0.016267021113641436, 0.016268032376895784, 0.016269144797179454, 0.016270367879590467, 0.016271712182838665, 0.016273189479132227, 0.016274812944002664, 0.016276597382619006, 0.016278559500829123, 0.016280718231354505, 0.016283095128425008, 0.016285714847907015, 0.016288605734980508, 0.016291800548120905, 0.016295337357201282, 0.016299260665901608, 0.016303622825684989, 0.016308485832431677, 0.016313923630492055, 0.016320025097116966, 0.016326897950196363, 0.0163346739253807, 0.016343515723234836, 0.016353626462933545, 0.016365262746043264, 0.016378753017566638, 0.016394523861828776, 0.016413138459830078, 0.016435354170850913, 0.016462211070614022, 0.016495172274188091, 0.016536354213421652, 0.016588920148476721, 0.0166577854551581, 0.016750955827392746, 0.016882248782082825, 0.017077328048721561, 0.017388652476369719, 0.01793840958306708, 0.019070329616642363, 0.022085462138107942, 0.035151421653362908, 0.078199498557547278, 0.02734272165135232, 0.019299725273080971, 0.017447227601625263, 0.016788756188275411, 0.016493881006344736, 0.016342112256818697, 0.016256516259296819, 0.01620507920023528, 0.016172736618569078, 0.016151726902407005, 0.016137762897834834, 0.016128342717136517, 0.016121939952242058, 0.016117588655602248, 0.016114658625398827, 0.016112728002952412, 0.01611150816268889, 0.016110797918321616, 0.0161104547765317, 0.016110376425157103, 0.016110488540534935, 0.016110736594735546, 0.016111080251406749, 0.016111489470531811, 0.016111941761753311, 0.016112420222272623, 0.016112912118641846, 0.016113407850696645, 0.016113900187298923, 0.016114383697599995, 0.016114854324406524, 0.016115309061811241, 0.016115745709996947, 0.016116162687623531, 0.016116558887500295, 0.016116933565019437, 0.016117286251541407, 0.016117616686894827, 0.016117924766597371, 0.016118210500468848, 0.016118473980100495, 0.016118715353236807, 0.016118934803573712, 0.0161191325348157, 0.016119308758093462, 0.016119463682042576, 0.0161195975049972, 0.016119710408873177, 0.01611980255440831, 0.016119874077502518, 0.016119925086460304, 0.016119955659986654, 0.016119965845828293, 0.016119955659986657, 0.016119925086460301, 0.016119874077502521, 0.016119802554408313, 0.016119710408873181, 0.016119597504997207, 0.016119463682042583, 0.016119308758093465, 0.01611913253481569, 0.016118934803573712, 0.016118715353236814, 0.016118473980100505, 0.016118210500468848, 0.016117924766597368, 0.016117616686894824, 0.0161172862515414, 0.016116933565019451, 0.016116558887500295, 0.016116162687623527, 0.016115745709996947, 0.016115309061811241, 0.016114854324406534, 0.016114383697599998, 0.016113900187298916, 0.016113407850696645, 0.016112912118641853, 0.016112420222272619, 0.016111941761753311, 0.016111489470531811, 0.016111080251406739, 0.016110736594735546, 0.016110488540534932, 0.01611037642515711, 0.016110454776531693, 0.01611079791832162, 0.016111508162688894, 0.016112728002952409, 0.016114658625398823, 0.016117588655602252, 0.016121939952242051, 0.016128342717136517, 0.016137762897834838, 0.016151726902406998, 0.016172736618569078, 0.01620507920023526, 0.016256516259296784, 0.016342112256818676, 0.016493881006344642, 0.01678875618827548, 0.017447227601624149, 0.019299725273077366, 0.027342721651332898, 0.078199498557556243, 0.035151421653369382, 0.022085462138108743, 0.019070329616641242, 0.017938409583066819, 0.017388652476369854, 0.017077328048721627, 0.016882248782082963, 0.016750955827392836, 0.016657785455158072, 0.016588920148476745, 0.016536354213421638, 0.016495172274188095, 0.016462211070614019, 0.01643535417085093, 0.016413138459830084, 0.016394523861828783, 0.016378753017566628, 0.016365262746043264, 0.016353626462933542, 0.016343515723234833, 0.016334673925380697, 0.016326897950196359, 0.016320025097116973, 0.016313923630492055, 0.016308485832431687, 0.016303622825684989, 0.016299260665901615, 0.016295337357201279, 0.016291800548120905, 0.016288605734980512, 0.016285714847907015, 0.016283095128425008, 0.016280718231354508, 0.016278559500829119, 0.01627659738261901, 0.016274812944002667, 0.01627318947913222, 0.016271712182838665, 0.016270367879590467, 0.016269144797179454, 0.016268032376895784, 0.016267021113641436, 0.016266102420740534, 0.016265268515227853, 0.016264512320200732, 0.01626382738145557, 0.016263207796135055, 0.01626264815151655, 0.01626214347239649, 0.016261689175787263, 0.016261281031855944, 0.016260915130206853, 0.01626058785075184, 0.016260295838528595, 0.016260035981923594, 0.016259805393835987, 0.016259601395385896, 0.016259421501825942, 0.016259263410362719, 0.016259124989634513, 0.016259004270626203, 0.016258899438831614, 0.016258808827499013, 0.016258730911817839, 0.016258664303923857, 0.016258607748617249, 0.016258560119702913, 0.016258520416875689, 0.016258487763084913, 0.016258461402323069, 0.016258440697792625, 0.016258425130413399, 0.016258414297639974, 0.016258407912565331, 0.016258405803293043, 0.016258406857015548, 0.0162584100358413, 0.016258415392753779, 0.016258423016088402, 0.01625843302957743, 0.016258445592413906, 0.016258460899335959, 0.016258479180732574, 0.01625850070277295, 0.016258525767561569, 0.016258554713321542, 0.016258587914609341, 0.016258625782564422, 0.016258668765197815, 0.016258717347724102, 0.016258772052942117, 0.016258833441669951, 0.016258902113240839, 0.016258978706066997, 0.016259063898279413, 0.016259158408452243, 0.016259262996421695, 0.016259378464209835, 0.016259505657065174, 0.016259645464632853, 0.016259798822268471, 0.016259966712511224, 0.016260150166733017, 0.016260350266982498, 0.016260568148044195, 0.016260804999735243, 0.016261062069464458, 0.016261340665080698, 0.016261642158040653, 0.016261967986928822, 0.016262319661366445, 0.016262698766349688, 0.016263106967062131, 0.01626354601421142, 0.016264017749946073, 0.016264524114414571, 0.016265067153036643, 0.016265649024565194, 0.01626627201002704, 0.016266938522642035, 0.016267651118833087, 0.016268412510454681, 0.016269225578384693, 0.016270093387644565, 0.016271019204235963, 0.016272006513909462, 0.016273059043112131, 0.016274180782398062, 0.01627537601262892, 0.016276649334342821, 0.016278005700729292, 0.0162794504547191, 0.01628098937078145, 0.016282628702120355, 0.016284375234080887, 0.01628623634471757, 0.016288220073647205, 0.016290335200513505, 0.016292591334637646, 0.016294999017729569, 0.01629756984189961, 0.016300316585657046, 0.01630325337113047, 0.016306395846421785, 0.016309761397843927, 0.016313369397837348, 0.016317241495667691, 0.016321401959653516, 0.016325878081756534, 0.016330700658020829, 0.016335904561748042, 0.016341529430682251, 0.016347620495176417, 0.016354229581767816, 0.01636141633642163, 0.016369249724773129, 0.016377809884229121, 0.016387190426518341, 0.016397501321716759, 0.016408872539581263, 0.016421458686618654, 0.016435444965815716, 0.016451054912704089, 0.016468560545504565, 0.016488295838455198, 0.016510674834030757, 0.016536216329873444, 0.016565578040417705, 0.016599604664302502, 0.016639396777311102, 0.016686411620975932, 0.016742613979542589, 0.016810707958527373, 0.016894503661289625, 0.016999517124987373, 0.017133990851333519, 0.01731071065182669, 0.017550419552132632, 0.017888663561152544, 0.018390659751043335, 0.019186990855228965, 0.020571109907499666, 0.02331528120019858, 0.029952594108275082, 0.051124259159078173, 0.095350955746075564, 0.049066779347392606, 0.027349445494432148, 0.021174901243077818, 0.018835986950863529, 0.01774633891741537, 0.017164875628242409, 0.016824198148462685, 0.016610656546423803, 0.016469848350291243, 0.016373291477089571, 0.016304997813109439, 0.016255478535150036, 0.016218840050026804, 0.016191280742288549, 0.016170268919186409, 0.016154072007202484, 0.016141476070785442, 0.016117720686384878, 0.016106016910880944, 0.016100377889073095, 0.016097967190057152, 0.016097336212847153, 0.016097702047950638, 0.01609862283776815, 0.016099840787998122, 0.01610120166028111, 0.016102611452381406, 0.016104012140067368, 0.016105367632291971, 0.016106655408253071, 0.016107861418564354, 0.016108976913952754, 0.01610999643938776, 0.016110916547138705, 0.016111734960782959, 0.016112450025835799, 0.016113060344253485, 0.016113564527413155, 0.016113961025263083, 0.016114248003878312, 0.016114423253016194, 0.016114484111494593, 0.016114427402637858, 0.016114249375606886, 0.016113945651993106, 0.016113511181590181, 0.016112940218197837, 0.016112226338111154, 0.016111362545115852, 0.016110341545057926, 0.016109156347827051, 0.016107801501106495, 0.016106275556722338, 0.016104585993561835, 0.016102759191207048, 0.016100861228670049, 0.016099043162965655, 0.016097645598514735, 0.016097460138808382, 0.016100457180728854, 0.01611213861419648, 0.016151018037498872, 0.016303396221979204, 0.017386784936065207, 0.056016817466323664, 0.017943335959657108, 0.016742058572358526, 0.016463093229816511, 0.01635032239915947, 0.016291616870722447, 0.016256257108574011, 0.016232837800673659, 0.016216259354711424, 0.016203934214479229, 0.016194423156492756, 0.016186867879161137, 0.016180727777877713, 0.016175647076101134, 0.016171383067494157, 0.016167765154373175, 0.016164670357741773, 0.016162008088559294, 0.016159710352585906, 0.016157725262349917, 0.016156012627500257, 0.016154540888707009, 0.016153284942119654, 0.01615222456750931, 0.016151343273984355, 0.016150627439886475, 0.016150065663428012, 0.016149648266627264, 0.016149366912338741, 0.016149214305813422, 0.016149183960207151, 0.016149270011014499, 0.016149467068330554, 0.016149770098650536, 0.016150174329949626, 0.016150675175273996, 0.016151268171176028, 0.0161519489281505, 0.016152713090850878, 0.016153556306339537, 0.016154474198989729, 0.016155462350940408, 0.01615651628722534, 0.016157631464871775, 0.01615880326540111, 0.016160026990273333, 0.016161297858903894, 0.016162611008951312, 0.016163961498629521, 0.016165344310842985, 0.016166754358977766, 0.016168186494209039, 0.016169635514206464, 0.016171096173134503, 0.016172563192855718, 0.016174031275252399, 0.016175495115585768, 0.0161769494168129, 0.016178388904780561, 0.016179808344211784, 0.016181202555396207, 0.016182566431489239, 0.016183894956318511, 0.016185183222588058, 0.016186426450363851, 0.016187620005716413, 0.016188759419389159, 0.016189840405355305, 0.016190858879120425, 0.016191810975624242, 0.016192693066592906, 0.016193501777191689, 0.016194234001830395, 0.016194886918976182, 0.016195458004834302, 0.016195945045764947, 0.01619634614931352, 0.016196659753744017, 0.016196884635977984, 0.016197019917857172, 0.016197065070664762, 0.016197034966226188, 0.016196944739849454, 0.016196794652081205, 0.016196585136267167, 0.016196316797210359, 0.016195990409305597, 0.016195606914162712, 0.016195167417734444, 0.016194673186968416, 0.016194125646004878, 0.016193526371945283, 0.016192877090218775, 0.016192179669575757, 0.016191436116739587, 0.016190648570748672, 0.016189819297022689, 0.016188950681186507, 0.016188045222686728, 0.016187105528234845, 0.01618613430511092, 0.016185134354360961, 0.01618410856391974, 0.016183059901689716, 0.016181991408604473, 0.016180906191703252, 0.016179807417240795, 0.016178698303853937, 0.01617758211580347, 0.016176462156306817, 0.01617534176097371, 0.016174224291353387, 0.016173113128598534, 0.016172011667246747, 0.01617092330911719, 0.016169851457315344, 0.016168799510334727, 0.016167770856240719, 0.01616676886691655, 0.016165796892347761, 0.016164858254916748, 0.016163956243674747, 0.016163094108554137, 0.016162275054479848, 0.016161502235334222, 0.016160778747725875, 0.016160107624509222, 0.016159491827997939, 0.01615893424281252, 0.016158437668299757, 0.016158004810460157, 0.016157638273318412, 0.016157340549672428, 0.016157114011157856, 0.016156960897568455, 0.016156883305377661, 0.016156883175414308, 0.016156962279655494, 0.016157122207112705, 0.016157364348804173, 0.016157689881826472, 0.01615809975256351, 0.01615859465909996, 0.016159175032940325, 0.016159841020173562, 0.016160592462266882, 0.0161614288767205, 0.016162349437867068, 0.016163352958154568, 0.016164437870308475, 0.016165602210825206, 0.016166843605303939, 0.016168159256173036, 0.016169545933409152, 0.016170999968877043, 0.016172517254932912, 0.016174093247929955, 0.016175722977237239, 0.016177401060329964, 0.016179121724426818, 0.016180878835037008, 0.016182665931636739, 0.016184476270521584, 0.016186302874682951, 0.016188138590337957, 0.01618997614950967, 0.016191808237819724, 0.016193627566426224, 0.016195426946831092, 0.0161971993671019, 0.016198938067917081, 0.016200636616759176, 0.016202288978555839, 0.016203889581108105, 0.0162054333737498, 0.016206915877848938, 0.016208333227984619, 0.016209682202900966, 0.016210960245641795, 0.016212165472588951, 0.016213296671450904, 0.016214353288559531, 0.016215335406118161, 0.01621624371029215, 0.016217079451234365, 0.016217844396286877, 0.016218540777694072, 0.016219171236201587, 0.016219738761904197, 0.016220246633648384, 0.016220698358200582, 0.016221097610267032, 0.016221448174305694, 0.016221753888912553, 0.016222018594402306, 0.016222246084044045, 0.016222440059261451, 0.016222604088969597, 0.016222741573099386, 0.016222855710258794, 0.016222949469397261, 0.016223025565278059, 0.016223086437519678, 0.01622313423294354, 0.016223170790956296, 0.016223197631702567, 0.016223215946742951, 0.01622322659204237, 0.016223230083093183], [0.016842513638649768, 0.016842473498395526, 0.016842353172090943, 0.016842152942772227, 0.016841873281042117, 0.016841514843394145, 0.016841078469888356, 0.016840565181199241, 0.016839976175063005, 0.01683931282215656, 0.016838576661445094, 0.016837769395040558, 0.016836892882617128, 0.016835949135433594, 0.016834940310015943, 0.016833868701556582, 0.016832736737088527, 0.016831546968495165, 0.01683030206541777, 0.016829004808123545, 0.016827658080398385, 0.016826264862528036, 0.016824828224432438, 0.016823351319016782, 0.016821837375803349, 0.016820289694907339, 0.01681871164141931, 0.01681710664025686, 0.016815478171547164, 0.016813829766602201, 0.016812165004548532, 0.016810487509673101, 0.016808800949548067, 0.016807109033997767, 0.016805415514972905, 0.016803724187397975, 0.016802038891061116, 0.016800363513617047, 0.016798701994776975, 0.016797058331762052, 0.016795436586099832, 0.016793840891845161, 0.016792275465309068, 0.016790744616379014, 0.016789252761512351, 0.016787804438479915, 0.016786404322927623, 0.01678505724680892, 0.016783768218717826, 0.016782542446118886, 0.016781385359422148, 0.016780302637785693, 0.016779300236438605, 0.016778384415198282, 0.016777561767699484, 0.016776839250650259, 0.01677622421217111, 0.016775724417948047, 0.01677534807352523, 0.016775103840568299, 0.016775000844335659, 0.016775048668898083, 0.016775257335850662, 0.016775637261383515, 0.016776199185656825, 0.016776954067529447, 0.016777912936926064, 0.01677908669665262, 0.016780485865501661, 0.016782120255306437, 0.016783998576543481, 0.016786127970514434, 0.016788513471410138, 0.016791157408920416, 0.016794058771528671, 0.016797212561880069, 0.016800609187775945, 0.016804233943935206, 0.016808066648552531, 0.016812081502288488, 0.016816247233003897, 0.01682052757523271, 0.016824882108347938, 0.01682926744292872, 0.016833638704697059, 0.016837951225420672, 0.016842162317417451, 0.016846232989416041, 0.016850129461085123, 0.016853824352629592, 0.016857297461604703, 0.01686053608532331, 0.016863534895934462, 0.016866295418581319, 0.016868825195031398, 0.016871136732739548, 0.016873246342435016, 0.016875172958437646, 0.016876937018835008, 0.016878559461555684, 0.016880060870908025, 0.016881460789976977, 0.016882777198920368, 0.016884026148215027, 0.016885221529070384, 0.016886374959905592, 0.016887495767134757, 0.016888591039679397, 0.016889665738885864, 0.016890722848286032, 0.016891763550481855, 0.016892787421089392, 0.0168937926319929, 0.016894776158073384, 0.016895733983085356, 0.01689666130149697, 0.016897552713936084, 0.016898402414462797, 0.016899204368278242, 0.016899952478736768, 0.016900640742700212, 0.016901263393395979, 0.016901815030039718, 0.016902290733575211, 0.016902686167976192, 0.01690299766664841, 0.016903222303563212, 0.016903357948841791, 0.016903403308588725, 0.016903404984374749, 0.016903410068081149, 0.016903418728862727, 0.016903431249012311, 0.016903448024520703, 0.01690346956587627, 0.016903496499120554, 0.016903529567181542, 0.016903569631512679, 0.016903617674072228, 0.01690367479968562, 0.016903742238841887, 0.016903821350985258, 0.016903913628374061, 0.016904020700591264, 0.016904144339805662, 0.016904286466897747, 0.016904449158583225, 0.016904634655686871, 0.016904845372743327, 0.016905083909128382, 0.016905353061955109, 0.01690565584100635, 0.016905995486017164, 0.016906375486671576, 0.016906799605738036, 0.016907271905839384, 0.016907796780439431, 0.016908378989732169, 0.016909023702245757, 0.016909736543127159, 0.016910523650261727, 0.016911391739613618, 0.01691234818145913, 0.016913401089540619, 0.016914559425611892, 0.016915833122402291, 0.016917233228727652, 0.016918772081365375, 0.016920463509444494, 0.016922323078557289, 0.016924368383679216, 0.016926619402430874, 0.016929098923424417, 0.016931833068676037, 0.016934851934716957, 0.016938190384633518, 0.016941889033582843, 0.016945995484479351, 0.016950565890165799, 0.016955666945904873, 0.016961378455124188, 0.016967796667641415, 0.016975038671841133, 0.016983248244341768, 0.016992603744996004, 0.017003328928587202, 0.017015707989745738, 0.017030106872463778, 0.017047004052422831, 0.017067035991978119, 0.01709106594390437, 0.017120291062216825, 0.017156414588153771, 0.0172019331058571, 0.017260636992560884, 0.017338528221894849, 0.017445610923919837, 0.017599660336078012, 0.017834953134023994, 0.018225175571530371, 0.018954652487227577, 0.020601516408605816, 0.025793737443919051, 0.055327691139477886, 0.047997164842180265, 0.022831415729298022, 0.018870243654345253, 0.017730582805733142, 0.017276369080297678, 0.017058915930802318, 0.016942102012196487, 0.016874281910330118, 0.016832695809787874, 0.016806177761681675, 0.016788789986047561, 0.016777170645761664, 0.016769318654503408, 0.016763993320361562, 0.016760399000539977, 0.016758010826614031, 0.016756474177769969, 0.016755544534273002, 0.016755050336671913, 0.016754869411381695, 0.016754913641222158, 0.016755118781955437, 0.016755437567492339, 0.016755834961695193, 0.01675628483818839, 0.016756767626572321, 0.016757268622897607, 0.016757776763223337, 0.016758283724203613, 0.016758783257363387, 0.016759270692181749, 0.016759742562333323, 0.016760196322608122, 0.016760630133160072, 0.016761042694135878, 0.016761433118272356, 0.016761800832296572, 0.016762145500308193, 0.016762466964032111, 0.016762765196084033, 0.016763040263320917, 0.01676329229804055, 0.016763521475314586, 0.016763727995132337, 0.01676391206833143, 0.016764073905520396, 0.016764213708374519, 0.016764331662823394, 0.016764427933755651, 0.016764502660950906, 0.016764555956017085, 0.016764587900165842, 0.016764598542705032, 0.016764587900165842, 0.016764555956017089, 0.016764502660950906, 0.016764427933755648, 0.016764331662823401, 0.016764213708374519, 0.016764073905520403, 0.016763912068331433, 0.01676372799513233, 0.016763521475314583, 0.01676329229804055, 0.016763040263320927, 0.016762765196084037, 0.016762466964032111, 0.016762145500308186, 0.016761800832296572, 0.016761433118272363, 0.016761042694135884, 0.016760630133160068, 0.016760196322608122, 0.01675974256233333, 0.016759270692181749, 0.016758783257363387, 0.016758283724203613, 0.016757776763223334, 0.016757268622897614, 0.016756767626572317, 0.016756284838188387, 0.016755834961695196, 0.016755437567492332, 0.016755118781955444, 0.016754913641222155, 0.016754869411381691, 0.016755050336671906, 0.016755544534273008, 0.016756474177769969, 0.016758010826614027, 0.016760399000539973, 0.016763993320361565, 0.016769318654503398, 0.016777170645761657, 0.016788789986047568, 0.016806177761681671, 0.016832695809787877, 0.01687428191033009, 0.016942102012196446, 0.017058915930802294, 0.017276369080297536, 0.01773058280573328, 0.018870243654343245, 0.022831415729289296, 0.047997164842115511, 0.055327691139469913, 0.02579373744392122, 0.020601516408606156, 0.018954652487226921, 0.018225175571530208, 0.017834953134024101, 0.017599660336078064, 0.017445610923919955, 0.017338528221894921, 0.017260636992560859, 0.017201933105857117, 0.017156414588153757, 0.017120291062216828, 0.017091065943904363, 0.017067035991978133, 0.017047004052422834, 0.017030106872463792, 0.017015707989745728, 0.017003328928587202, 0.016992603744996001, 0.016983248244341765, 0.016975038671841122, 0.016967796667641415, 0.016961378455124191, 0.016955666945904876, 0.016950565890165803, 0.016945995484479351, 0.016941889033582846, 0.016938190384633515, 0.016934851934716957, 0.016931833068676037, 0.01692909892342441, 0.016926619402430877, 0.016924368383679219, 0.016922323078557292, 0.016920463509444494, 0.016918772081365378, 0.016917233228727655, 0.016915833122402288, 0.016914559425611892, 0.016913401089540619, 0.01691234818145913, 0.016911391739613618, 0.016910523650261723, 0.016909736543127159, 0.016909023702245757, 0.016908378989732173, 0.016907796780439428, 0.016907271905839381, 0.016906799605738036, 0.016906375486671576, 0.016905995486017161, 0.016905655841006353, 0.016905353061955109, 0.016905083909128378, 0.016904845372743331, 0.016904634655686861, 0.016904449158583225, 0.016904286466897747, 0.016904144339805662, 0.016904020700591268, 0.016903913628374054, 0.016903821350985265, 0.01690374223884188, 0.016903674799685617, 0.016903617674072228, 0.016903569631512679, 0.016903529567181545, 0.016903496499120551, 0.01690346956587627, 0.016903448024520703, 0.016903431249012307, 0.016903418728862724, 0.016903410068081146, 0.016903404984374745, 0.016903403308588732, 0.01690340414558832, 0.016903406674033877, 0.016903410946272703, 0.016903417049573755, 0.016903425106163231, 0.016903435273275459, 0.016903447743220137, 0.016903462743467171, 0.016903480536750882, 0.016903501421195649, 0.016903525730465361, 0.016903553833939593, 0.016903586136919734, 0.016903623080868905, 0.016903665143689878, 0.016903712840045906, 0.016903766721729756, 0.016903827378087197, 0.016903895436501507, 0.016903971562946655, 0.01690405646261715, 0.016904150880644089, 0.016904255602907065, 0.016904371456953133, 0.01690449931303498, 0.016904640085281267, 0.016904794733014143, 0.01690496426222915, 0.016905149727255531, 0.016905352232615516, 0.01690557293510362, 0.016905813046108744, 0.016906073834204213, 0.016906356628033345, 0.016906662819520725, 0.016906993867443102, 0.016907351301396516, 0.016907736726201033, 0.01690815182678837, 0.016908598373623355, 0.016909078228715541, 0.016909593352284223, 0.0169101458101477, 0.016910737781916166, 0.016911371570077823, 0.016912049610079066, 0.016912774481513067, 0.016913548920546095, 0.01691437583372879, 0.016915258313359813, 0.016916199654593338, 0.016917203374509103, 0.016918273233396373, 0.016919413258540492, 0.016920627770844986, 0.016921921414674208, 0.016923299191362182, 0.0169247664969061, 0.016926329164447834, 0.016927993512248916, 0.016929766397985411, 0.016931655280333944, 0.016933668288994244, 0.016935814304502594, 0.016938103049444153, 0.016940545192978697, 0.016943152470968958, 0.016945937824457764, 0.016948915559803015, 0.01695210153447298, 0.016955513373365125, 0.016959170721583865, 0.016963095540956007, 0.016967312459254397, 0.016971849183243556, 0.016976736989391963, 0.016982011309597776, 0.016987712433795765, 0.016993886357190031, 0.017000585807553079, 0.017007871498189296, 0.017015813665677584, 0.017024493969653685, 0.01703400785648013, 0.017044467522299302, 0.017056005657500525, 0.017068780219723918, 0.017082980574678601, 0.017098835476234184, 0.017116623549509758, 0.017136687224615324, 0.01715945149493402, 0.017185449525215234, 0.017215358149788057, 0.017250047917067208, 0.017290654970042677, 0.017338686457651943, 0.017396178757146784, 0.01746594127853679, 0.01755194350997127, 0.017659950821490501, 0.017798611062517032, 0.017981399677181098, 0.018230298693201145, 0.01858323311504937, 0.019110382201964343, 0.019953833110435953, 0.021437682570300272, 0.024432569730275983, 0.031874033221126745, 0.056182431404020829, 0.094200695217984132, 0.045429802467693743, 0.026886081360712976, 0.02143609394486742, 0.019311751366799572, 0.018303791742781388, 0.017759331409603889, 0.01743760584713798, 0.017234690842455144, 0.017100268978993662, 0.017007766386811396, 0.016942163578804344, 0.016894497334679896, 0.016859175301484629, 0.016832576579288942, 0.016812282163804964, 0.016796632123123566, 0.016767438276298563, 0.016753173086987708, 0.016746252103474094, 0.0167431793712138, 0.016742205976980395, 0.016742401690103423, 0.016743248079854556, 0.016744445702398789, 0.016745816843275661, 0.016747253898098183, 0.016748690798928902, 0.016750086632606815, 0.016751415968098107, 0.01675266300176538, 0.016753817938693953, 0.016754874716280128, 0.016755829550620147, 0.01675667999617779, 0.016757424330158043, 0.016758061144378042, 0.016758589070442885, 0.016759006590474305, 0.016759311902203478, 0.016759502817845023, 0.016759576683187394, 0.016759530308283026, 0.016759359905081147, 0.01675906103125932, 0.016758628544457015, 0.016758056578677571, 0.01675733856750641, 0.016756467361986799, 0.016755435534195819, 0.016754236040303561, 0.01675286358001361, 0.016751317321654823, 0.016749606366380419, 0.016747760887820658, 0.016745855551202941, 0.016744061024795462, 0.016742764521683752, 0.0167428763949167, 0.016746703442391264, 0.016760865003840424, 0.016808640776532678, 0.017007890442906987, 0.01875359425697325, 0.034911843738274759, 0.018180674070437171, 0.017313469746182922, 0.017081865650548735, 0.016982793253557407, 0.016929604699110191, 0.016896939350957971, 0.0168750132918675, 0.016859339687585285, 0.016847600459546627, 0.01683848873645816, 0.016831216936284484, 0.016825284839824404, 0.016820361008692327, 0.016816218071023743, 0.016812695458646755, 0.016809676964512795, 0.016807076699119562, 0.016804830008280636, 0.016802887428522876, 0.016801210561456142, 0.016799769194372014, 0.016798539250302988, 0.016797501302438417, 0.016796639480224689, 0.016795940652253354, 0.01679539380798872, 0.01679498958451003, 0.01679471990049369, 0.016794577670527323, 0.016794556580321494, 0.01679465090860267, 0.01679485538516386, 0.016795165077196094, 0.016795575297944631, 0.016796081533142642, 0.016796679381720463, 0.016797364508071261, 0.016798132603746317, 0.016798979356905584, 0.016799900428196988, 0.016800891432008653, 0.016801947922249559, 0.016803065381980568, 0.016804239216349919, 0.016805464748391986, 0.016806737217332193, 0.016808051779107755, 0.016809403508867747, 0.016810787405258459, 0.016812198396333872, 0.016813631346957302, 0.016815081067580444, 0.01681654232430101, 0.016818009850110439, 0.016819478357250141, 0.016820942550598073, 0.016822397142008019, 0.016823836865522766, 0.016825256493378456, 0.016826650852712607, 0.016828014842881968, 0.016829343453289326, 0.016830631781610594, 0.016831875052305968, 0.016833068635291246, 0.016834208064637913, 0.016835289057164665, 0.016836307530777191, 0.016837259622409353, 0.016838141705416334, 0.016838950406269166, 0.01683968262040211, 0.016840335527066756, 0.016840906603052624, 0.016841393635141526, 0.016841794731172244, 0.016842108329604477, 0.016842333207483816, 0.016842468486725271, 0.016842513638649768, 0.016842483534800268, 0.016842393310187411, 0.016842243225346956, 0.016842033713603773, 0.016841765379725992, 0.016841438998053942, 0.016841055510116325, 0.016840616021749799, 0.016840121799741377, 0.016839574268015575, 0.016838975003391557, 0.016838325730937347, 0.016837628318950797, 0.016836884773598192, 0.016836097233243238, 0.016835267962500216, 0.016834399346045109, 0.016833493882219865, 0.016832554176463829, 0.016831582934606619, 0.01683058295605561, 0.016829557126909978, 0.016828508413032121, 0.016827439853104854, 0.016826354551701127, 0.01682525567239054, 0.016824146430903991, 0.016823030088375126, 0.016821909944674002, 0.016820789331845099, 0.01681967160765822, 0.016818560149277163, 0.016817458347047065, 0.016816369598397749, 0.016815297301855783, 0.016814244851154018, 0.016813215629423436, 0.016812213003447096, 0.016811240317952239, 0.016810300889911922, 0.016809398002823168, 0.016808534900924342, 0.016807714783310126, 0.016806940797898271, 0.016806216035198406, 0.016805543521829384, 0.01680492621372822, 0.016804366988990769, 0.016803868640281907, 0.016803433866751379, 0.016803065265390622, 0.016802765321766396, 0.016802536400068884, 0.016802380732415176, 0.016802300407354597, 0.016802297357530228, 0.016802373346460932, 0.016802529954422201, 0.016802768563420861, 0.01680309034127949, 0.016803496224871432, 0.016803986902577121, 0.016804562796066343, 0.016805224041550437, 0.016805970470692076, 0.016806801591408564, 0.016807716568856275, 0.016808714206938739, 0.016809792930736978, 0.016810950770316375, 0.01681218534641769, 0.01681349385858763, 0.016814873076344133, 0.016816319333998846, 0.016817828529771706, 0.01681939612982478, 0.016821017177812335, 0.016822686310487681, 0.016824397779821674, 0.016826145481972601, 0.016827922993302012, 0.016829723613456946, 0.016831540415340938, 0.016833366301578521, 0.016835194066849302, 0.016837016465236446, 0.016838826281512412, 0.016840616405082703, 0.016842379905138503, 0.016844110105441724, 0.016845800657091365, 0.016847445607604088, 0.016849039464689557, 0.016850577253212047, 0.016852054564000948, 0.016853467593397661, 0.016854813172693574, 0.016856088786912797, 0.016857292582707031, 0.01685842336544572, 0.016859480585886565, 0.01686046431708639, 0.016861375222449598, 0.016862214516001898, 0.016862983916116268, 0.016863685594003218, 0.016864322118309856, 0.016864896397155653, 0.016865411618872287, 0.016865871192619016, 0.016866278689919991, 0.016866637788026932, 0.016866952215854981, 0.016867225703081828, 0.016867461932844958, 0.016867664498326048, 0.016867836863378827, 0.016867982327240429, 0.01686810399326857, 0.016868204741568121, 0.016868287205311708, 0.016868353750518365, 0.016868406459031635, 0.016868447114431154, 0.016868477190619562, 0.016868497842845737, 0.016868509900955047, 0.01686851386469582], [0.017139129215367328, 0.017139089330136258, 0.017138969768285505, 0.017138770811005413, 0.017138492925826167, 0.01713813676494786, 0.017137703162924345, 0.017137193133721616, 0.01713660786717781, 0.017135948724897116, 0.017135217235614574, 0.017134415090073983, 0.017133544135464841, 0.017132606369468381, 0.017131603933965775, 0.017130539108464935, 0.017129414303304086, 0.017128232052692736, 0.017126995007651861, 0.017125705928916247, 0.017124367679862761, 0.017122983219528175, 0.017121555595781095, 0.017120087938711295, 0.017118583454300344, 0.017117045418436252, 0.017115477171334766, 0.017113882112429219, 0.017112263695790469, 0.017110625426138143, 0.017108970855504585, 0.017107303580612462, 0.017105627241028303, 0.017103945518154386, 0.017102262135123152, 0.017100580857659302, 0.01709890549597734, 0.017097239907784129, 0.017095588002458542, 0.017093953746483027, 0.017092341170204146, 0.01709075437600106, 0.017089197547942227, 0.017087674963009981, 0.017086191003970613, 0.017084750173961424, 0.017083357112856745, 0.017082016615458561, 0.017080733651533217, 0.017079513387680791, 0.017078361210974485, 0.017077282754239909, 0.017076283922753375, 0.017075370922018038, 0.01707455028611906, 0.017073828905956698, 0.017073214056397997, 0.017072713421064322, 0.017072335113071799, 0.017072087689554948, 0.017071980157222586, 0.017072021965516746, 0.01707222298317582, 0.01707259345316204, 0.017073143920041094, 0.017073885123067688, 0.017074827847542599, 0.017075982726621166, 0.017077359985882157, 0.017078969123880627, 0.017080818523929973, 0.017082914995830922, 0.01708526325150847, 0.017087865325739669, 0.017090719962343428, 0.017093821996982315, 0.017097161779222884, 0.017100724687250823, 0.017104490796594315, 0.017108434766934019, 0.017112526006129607, 0.017116729156137017, 0.017121004921010711, 0.017125311224107986, 0.017129604643594143, 0.017133842037986104, 0.017137982243360401, 0.017141987707113789, 0.017145825923858937, 0.017149470557949239, 0.017152902171387305, 0.017156108519585773, 0.017159084423145277, 0.017161831264237221, 0.017164356185863459, 0.0171666710884502, 0.017168791520970634, 0.017170735555364591, 0.017172522717001829, 0.01717417302417884, 0.017175706169533317, 0.01717714085827219, 0.017178494303668312, 0.017179781869894904, 0.017181016845758582, 0.017182210329669833, 0.017183371205478283, 0.017184506189816588, 0.017185619933648737, 0.017186715163260927, 0.017187792848568612, 0.017188852389086004, 0.017189891810067044, 0.017190907963118451, 0.017191896727000822, 0.01719285320540519, 0.017193771919270882, 0.017194646991756195, 0.017195472324344648, 0.017196241762820287, 0.017196949252020168, 0.017197588978405252, 0.017198155499605738, 0.017198643860208238, 0.017199049693164731, 0.017199369306316898, 0.017199599753640514, 0.017199738890916152, 0.01719978541562181, 0.017199786671177476, 0.017199790493158409, 0.017199797047604447, 0.017199806611577367, 0.017199819573660808, 0.017199836434674147, 0.017199857808614879, 0.017199884423849121, 0.017199917124575564, 0.017199956872594444, 0.017200004749420527, 0.017200061958787215, 0.017200129829598072, 0.017200209819392825, 0.017200303518406155, 0.017200412654311437, 0.017200539097755749, 0.017200684868810035, 0.017200852144476569, 0.017201043267417927, 0.017201260756096452, 0.017201507316541235, 0.017201785855993263, 0.017202099498717711, 0.017202451604317874, 0.017202845788939158, 0.017203285949815787, 0.017203776293689677, 0.01720432136972367, 0.017204926107643789, 0.017205595861981227, 0.017206336463452057, 0.017207154278717225, 0.017208056280017609, 0.017209050126492018, 0.017210144259374532, 0.017211348013754287, 0.017212671750192178, 0.017214127010261739, 0.017215726701063378, 0.01721748531501768, 0.017219419192859801, 0.017221546839852379, 0.017223889307969351, 0.017226470660400655, 0.017229318539498766, 0.017232464865670677, 0.017235946703335409, 0.017239807341815967, 0.017244097655221498, 0.017248877827929956, 0.017254219564088027, 0.017260208944982862, 0.017266950163962413, 0.017274570465379172, 0.017283226758728436, 0.017293114599325372, 0.017304480568454059, 0.017317639627285754, 0.017332999897208774, 0.017351098781817974, 0.017372656852852782, 0.017398660361436512, 0.017430491389404779, 0.017470140269715925, 0.017520566277322049, 0.017586339245348036, 0.017674846006731929, 0.017798716918619756, 0.017981131838206033, 0.018268729127171399, 0.018767782296850798, 0.019767672268078764, 0.022306929192411059, 0.032341052133028673, 0.080731668388646607, 0.031070567754467999, 0.020705482439336582, 0.018521784891639193, 0.017780691982875303, 0.017457606891883512, 0.01729421018082028, 0.0172032000752604, 0.01714902679426401, 0.01711522314114769, 0.017093406043376152, 0.017078988922971862, 0.017069315860247136, 0.017062776966312185, 0.017058359106503596, 0.017055404481659719, 0.017053474641198416, 0.01705227076171079, 0.017051585280737431, 0.017051271668199003, 0.017051225036245315, 0.017051369413321908, 0.017051649220725194, 0.017052023459603466, 0.017052461681711723, 0.017052941155576217, 0.017053444847048523, 0.017053959963009117, 0.017054476889812785, 0.017054988411884086, 0.017055489131407458, 0.017055975033877221, 0.017056443160461645, 0.017056891359279486, 0.017057318095450066, 0.017057722305245535, 0.017058103283564063, 0.017058460596738066, 0.017058794014717722, 0.017059103458150971, 0.017059388956973051, 0.017059650617928784, 0.01705988859905672, 0.017060103089620617, 0.017060294294319246, 0.017060462420869532, 0.017060607670260377, 0.017060730229131786, 0.017060830263855669, 0.017060907915991474, 0.017060963298866555, 0.017060996495093385, 0.017061007554887413, 0.017060996495093378, 0.017060963298866558, 0.017060907915991474, 0.017060830263855672, 0.017060730229131793, 0.017060607670260384, 0.017060462420869536, 0.01706029429431925, 0.017060103089620613, 0.01705988859905672, 0.017059650617928784, 0.017059388956973062, 0.017059103458150971, 0.017058794014717722, 0.017058460596738059, 0.017058103283564056, 0.017057722305245545, 0.01705731809545007, 0.017056891359279479, 0.017056443160461648, 0.017055975033877228, 0.017055489131407465, 0.017054988411884086, 0.017054476889812785, 0.017053959963009117, 0.017053444847048523, 0.017052941155576214, 0.017052461681711723, 0.017052023459603459, 0.017051649220725183, 0.017051369413321915, 0.017051225036245312, 0.017051271668199006, 0.017051585280737427, 0.01705227076171079, 0.01705347464119842, 0.017055404481659722, 0.017058359106503596, 0.017062776966312188, 0.017069315860247129, 0.017078988922971858, 0.017093406043376152, 0.017115223141147683, 0.017149026794264017, 0.017203200075260359, 0.01729421018082021, 0.01745760689188347, 0.017780691982875078, 0.01852178489163938, 0.020705482439332443, 0.031070567754441322, 0.080731668388659361, 0.032341052133026363, 0.022306929192412072, 0.019767672268078997, 0.018767782296850354, 0.018268729127171267, 0.017981131838206113, 0.017798716918619794, 0.017674846006732026, 0.017586339245348102, 0.017520566277322031, 0.017470140269715946, 0.017430491389404772, 0.017398660361436516, 0.017372656852852775, 0.017351098781817988, 0.017332999897208781, 0.017317639627285764, 0.017304480568454052, 0.017293114599325369, 0.01728322675872844, 0.017274570465379169, 0.017266950163962409, 0.017260208944982858, 0.017254219564088034, 0.017248877827929963, 0.017244097655221502, 0.017239807341815967, 0.017235946703335409, 0.01723246486567067, 0.017229318539498759, 0.017226470660400655, 0.017223889307969351, 0.017221546839852379, 0.017219419192859801, 0.01721748531501768, 0.017215726701063382, 0.017214127010261742, 0.017212671750192178, 0.017211348013754287, 0.017210144259374532, 0.017209050126492022, 0.017208056280017606, 0.017207154278717222, 0.017206336463452061, 0.017205595861981227, 0.017204926107643792, 0.017204321369723673, 0.017203776293689681, 0.017203285949815787, 0.017202845788939155, 0.017202451604317874, 0.017202099498717715, 0.017201785855993263, 0.017201507316541232, 0.017201260756096445, 0.017201043267417927, 0.017200852144476565, 0.017200684868810042, 0.017200539097755749, 0.01720041265431144, 0.017200303518406155, 0.017200209819392819, 0.017200129829598076, 0.017200061958787208, 0.017200004749420527, 0.017199956872594437, 0.01719991712457556, 0.017199884423849125, 0.017199857808614879, 0.017199836434674147, 0.017199819573660811, 0.01719980661157736, 0.017199797047604444, 0.017199790493158409, 0.017199786671177476, 0.017199785415621813, 0.017199786042527164, 0.017199787940424566, 0.017199791160863516, 0.017199795789778049, 0.017199801947514526, 0.017199809788871371, 0.0171998195031519, 0.017199831314231216, 0.017199845480638829, 0.017199862295659018, 0.017199882087450793, 0.017199905219190497, 0.017199932089239704, 0.017199963131342259, 0.017199998814854043, 0.017200039645010334, 0.017200086163235553, 0.017200138947501168, 0.01720019861273811, 0.017200265811310716, 0.017200341233559752, 0.017200425608423525, 0.017200519704146044, 0.017200624329082932, 0.017200740332616274, 0.017200868606190734, 0.017201010084484915, 0.017201165746732233, 0.017201336618208059, 0.017201523771900488, 0.017201728330384254, 0.01720195146791894, 0.017202194412794736, 0.017202458449951139, 0.0172027449238965, 0.017203055241959336, 0.017203390877905192, 0.017203753375956511, 0.017204144355257113, 0.017204565514827224, 0.017205018639060411, 0.017205505603819362, 0.017206028383194693, 0.017206589056997984, 0.017207189819069796, 0.017207832986492914, 0.017208521009813231, 0.017209256484383657, 0.017210042162962423, 0.017210880969714477, 0.01721177601578612, 0.017212730616646583, 0.017213748311418656, 0.017214832884453232, 0.017215988389440755, 0.01721721917639777, 0.017218529921919305, 0.017219925663150271, 0.017221411836002339, 0.01722299431823018, 0.017224679478084252, 0.017226474229381113, 0.017228386093979746, 0.017230423272830045, 0.017232594726973104, 0.017234910270131538, 0.017237380674841755, 0.017240017794462256, 0.017242834703860142, 0.017245845862152956, 0.017249067301593327, 0.017252516847564865, 0.017256214375756456, 0.017260182113959285, 0.017264444997666318, 0.017269031090853957, 0.017273972086130678, 0.017279303902037416, 0.017285067399935135, 0.017291309248965187, 0.01729808297549832, 0.017305450243963322, 0.017313482429900086, 0.017322262564832637, 0.017331887757992437, 0.017342472234769615, 0.01735415118002423, 0.017367085641973982, 0.017381468848195566, 0.017397534422924479, 0.017415567195386457, 0.017435917585582932, 0.017459021000206555, 0.017485424354780323, 0.017515822905544605, 0.017551112278211087, 0.017592463365022435, 0.017641432433582047, 0.017700126863653749, 0.017771461342607878, 0.017859566059951936, 0.017970460064707681, 0.018113207670419768, 0.018302000489757386, 0.018560122659095398, 0.018928033511696869, 0.01948128303436647, 0.020374650844919795, 0.021966863294664157, 0.025243221218133043, 0.033625490640102014, 0.061552904113582232, 0.090456165271155034, 0.042013959854404988, 0.026185473652714297, 0.02137266389995264, 0.019445084261181182, 0.018514325150407882, 0.0180056126368092, 0.017702505463532556, 0.01751016848549462, 0.017382171222098747, 0.017293782062504912, 0.017230928053256097, 0.017185164909832254, 0.017151200367680433, 0.017125594970406267, 0.017106043647503903, 0.017070046998387128, 0.01705265530687056, 0.01704419006490597, 0.017040321819069986, 0.017038932403729831, 0.017038914258861677, 0.01703965831390394, 0.017040816473817479, 0.017042183885776493, 0.017043637346072279, 0.017045101614453474, 0.017046530297960764, 0.017047894661698711, 0.017049176906663473, 0.017050366041647082, 0.017051455300798511, 0.017052440502545462, 0.017053318992460632, 0.017054088953766179, 0.017054748951841336, 0.017055297628612975, 0.017055733492967802, 0.017056054772179564, 0.017056259301355705, 0.017056344435813223, 0.017056306976830828, 0.017056143105619224, 0.017055848324656134, 0.01705541741094348, 0.017054844394005779, 0.017054122585543396, 0.017053244713122102, 0.017052203257925468, 0.017050991188324982, 0.017049603462946813, 0.017048040050197232, 0.017046312008484756, 0.017044453957715314, 0.017042550512086928, 0.017040795034067163, 0.017039629003869624, 0.017040102882009595, 0.017044929158278679, 0.017062122373271149, 0.017121267813977541, 0.017386983877007593, 0.02045598098957636, 0.025692637743273513, 0.01819890605607611, 0.017549947075644428, 0.017355421355798494, 0.017267928178108585, 0.01721961193396741, 0.017189396523618061, 0.017168857429622968, 0.017154038259235619, 0.017142859722010344, 0.017134134356679136, 0.017127139313230767, 0.017121411781765499, 0.017116643096312466, 0.017112620357217605, 0.017109192532989512, 0.017106249898162795, 0.017103711087421224, 0.017101514678641072, 0.017099613564873464, 0.01709797109717319, 0.017096558382660478, 0.017095352354588429, 0.017094334369589285, 0.0170934891720112, 0.017092804118445486, 0.0170922685896867, 0.017091873539736697, 0.01709161114639321, 0.017091474538100289, 0.017091457578728639, 0.017091554696846645, 0.017091760749513175, 0.0170920709131165, 0.017092480595596066, 0.017092985365716407, 0.017093580896052639, 0.017094262917089913, 0.01709502718040232, 0.017095869429307655, 0.017096785375726072, 0.017097770682229483, 0.017098820948470393, 0.017099931701338708, 0.017101098388321429, 0.017102316373641204, 0.017103580936829964, 0.017104887273458717, 0.017106230497796072, 0.017107605647208979, 0.017109007688151948, 0.017110431523616167, 0.017111872001929131, 0.01711332392681009, 0.017114782068595999, 0.017116241176559455, 0.01711769599224304, 0.017119141263734622, 0.017120571760806984, 0.017121982290840883, 0.017123367715445693, 0.017124722967685222, 0.017126043069809457, 0.017127323151384516, 0.017128558467706057, 0.017129744418372998, 0.017130876565891451, 0.017131950654172032, 0.017132962626778547, 0.017133908644781575, 0.017134785104068434, 0.017135588651959282, 0.017136316202981478, 0.017136964953656481, 0.017137532396159373, 0.017138016330718667, 0.017138414876633201, 0.017138726481795322, 0.017138949930622222, 0.017139084350313201, 0.017139129215367328, 0.017139099302780916, 0.0171390096514441, 0.017138860520354352, 0.017138652340277054, 0.017138385712406237, 0.017138061406502651, 0.017137680358521576, 0.017137243667746691, 0.017136752593449094, 0.017136208551093577, 0.017135613108117224, 0.0171349679793074, 0.01713427502180858, 0.017133536229789088, 0.017132753728800104, 0.017131929769860794, 0.017131066723303161, 0.017130167072411731, 0.017129233406891878, 0.01712826841620101, 0.017127274882775521, 0.017126255675185414, 0.017125213741247154, 0.017124152101123023, 0.017123073840433434, 0.017121982103406486, 0.017120880086085671, 0.017119771029614317, 0.017118658213611963, 0.017117544949654562, 0.017116434574866758, 0.017115330445631051, 0.017114235931414354, 0.017113154408709155, 0.017112089255081703, 0.017111043843315771, 0.017110021535636576, 0.017109025677994483, 0.017108059594384276, 0.017107126581171188, 0.017106229901390525, 0.017105372778983385, 0.017104558392926777, 0.01710378987121219, 0.017103070284622907, 0.017102402640256482, 0.017101789874735651, 0.017101234847047973, 0.017100740330952244, 0.017100309006888324, 0.0170999434533263, 0.017099646137491528, 0.017099419405404236, 0.017099265471175878, 0.017099186405510013, 0.017099184123363954, 0.017099260370737567, 0.017099416710569831, 0.017099654507741046, 0.017099974913199482, 0.017100378847256955, 0.017100866982127431, 0.017101439723817457, 0.017102097193516266, 0.017102839208677344, 0.017103665264031204, 0.017104574512820648, 0.017105565748603887, 0.017106637388026067, 0.017107787455014623, 0.017109013566904918, 0.017110312923049271, 0.017111682296499165, 0.01711311802937563, 0.017114616032551919, 0.017116171790261904, 0.017117780370214029, 0.017119436439731187, 0.017121134288348536, 0.017122867857183685, 0.017124630775247115, 0.017126416402686303, 0.017128217880759609, 0.017130028188120969, 0.017131840202771208, 0.017133646768806712, 0.017135440766880467, 0.017137215187097238, 0.017138963202903555, 0.017140678244415675, 0.017142354069563583, 0.017143984831422029, 0.017145565140154983, 0.017147090118116635, 0.017148555446827071, 0.017149957404766502, 0.017151292895197755, 0.017152559463521559, 0.017153755303976014, 0.017154879255799105, 0.017155930789264862, 0.017156909982267467, 0.01715781748835405, 0.017158654497286228, 0.017159422689339784, 0.017160124184628842, 0.017160761488766125, 0.017161337436149712, 0.017161855132103335, 0.017162317895000143, 0.017162729199375993, 0.0171630926208972, 0.017163411783895903, 0.017163690312032531, 0.017163931782494684, 0.017164139684000861, 0.017164317378749842, 0.017164468068345127, 0.017164594763630282, 0.017164700258296289, 0.017164787106066025, 0.017164857601222855, 0.017164913762229658, 0.01716495731817802, 0.017164989697815967, 0.017165012020921418, 0.017165025091818203, 0.017165029394868428], [0.017116821301011213, 0.017116781817116587, 0.017116663458295656, 0.017116466502803164, 0.01711619141328638, 0.017115838835129803, 0.017115409594159355, 0.017114904693726653, 0.017114325311200454, 0.017113672793897215, 0.017112948654487706, 0.017112154565921384, 0.017111292355914604, 0.017110364001051981, 0.017109371620554061, 0.017108317469767084, 0.017107203933432909, 0.01710603351879909, 0.017104808848630856, 0.017103532654187195, 0.017102207768224634, 0.017100837118091832, 0.017099423718979035, 0.017097970667385387, 0.017096481134867263, 0.017094958362130271, 0.017093405653526524, 0.017091826372019107, 0.01709022393467435, 0.017088601808742734, 0.017086963508389098, 0.017085312592132664, 0.017083652661058098, 0.017081987357859568, 0.017080320366780845, 0.017078655414515673, 0.017076996272135051, 0.017075346758109542, 0.017073710742497226, 0.01707209215237019, 0.01707049497855451, 0.017068923283760046, 0.017067381212177334, 0.017065873000617716, 0.017064402991269777, 0.017062975646138907, 0.017061595563225722, 0.017060267494482226, 0.017058996365558965, 0.017057787297320427, 0.017056645629055296, 0.017055576943239253, 0.017054587091615888, 0.017053682222239804, 0.017052868806967415, 0.017052153668678433, 0.017051544007253592, 0.017051047423013166, 0.017050671935925053, 0.017050425998412926, 0.017050318499025566, 0.017050358753569431, 0.017050556479562617, 0.017050921749063946, 0.017051464914105832, 0.0170521964981863, 0.017053127046661599, 0.017054266928580798, 0.017055626082726542, 0.01705721370163215, 0.01705903784944109, 0.017061105012982556, 0.017063419590644495, 0.017065983330705914, 0.01706879473969317, 0.017071848491644011, 0.017075134880016697, 0.017078639363930607, 0.017082342267503978, 0.017086218692961643, 0.017090238702673809, 0.017094367810738122, 0.017098567800806187, 0.017102797855102211, 0.017107015943579256, 0.017111180387248147, 0.017115251482066756, 0.017119193055009446, 0.017122973825652296, 0.017126568465322921, 0.017129958278711381, 0.017133131474207655, 0.017136083032136002, 0.017138814217785937, 0.017141331813694177, 0.017143647160532811, 0.017145775098321419, 0.017147732891667038, 0.017149539207673269, 0.017151213196633368, 0.017152773706772054, 0.017154238647415034, 0.017155624501376501, 0.017156945977540999, 0.01715821578842187, 0.017159444534361391, 0.017160640675281235, 0.017161810571769069, 0.017162958579152524, 0.017164087180552873, 0.017165197147354157, 0.017166287717824615, 0.017167356786645594, 0.01716840109977761, 0.017169416450418168, 0.01717039787280969, 0.01717133983138739, 0.017172236403272464, 0.017173081452471834, 0.017173868794393463, 0.017174592349467947, 0.017175246284815201, 0.01717582514303102, 0.017176323957303345, 0.017176738352205522, 0.017177064629650161, 0.01717729983961656, 0.017177441835378782, 0.017177489313056002, 0.017177490160036425, 0.017177492755241993, 0.017177497261553334, 0.017177503950732202, 0.017177513203868428, 0.017177525512017847, 0.017177541477043881, 0.017177561812680198, 0.017177587345836912, 0.017177619018178818, 0.017177657888010886, 0.017177705132514185, 0.017177762050383797, 0.01717783006493076, 0.017177910727720614, 0.017178005722834289, 0.017178116871850252, 0.017178246139663501, 0.01717839564127379, 0.017178567649696018, 0.017178764605168376, 0.017178989125859519, 0.017179244020306753, 0.017179532301851569, 0.017179857205380268, 0.017180222206725684, 0.017180631045143405, 0.017181087749344879, 0.017181596667652042, 0.017182162502938539, 0.017182790353142983, 0.017183485758288253, 0.017184254755121448, 0.017185103940711703, 0.017186040546618417, 0.017187072525583692, 0.017188208653128614, 0.01718945864696669, 0.017190833307819998, 0.0171923446860754, 0.017194006279803498, 0.017195833271055047, 0.017197842809145714, 0.017200054351975892, 0.017202490079490072, 0.017205175397416804, 0.017208139554803055, 0.017211416406071069, 0.01721504535810657, 0.017219072556280846, 0.017223552381849732, 0.01722854935913657, 0.017234140607718954, 0.017240419027736233, 0.01724749748354518, 0.017255514365126522, 0.017264641078585181, 0.017275092280841585, 0.017287140086456175, 0.01730113413523917, 0.017317530492909985, 0.017336934183280139, 0.017360163323078655, 0.017388348533897521, 0.017423091963242727, 0.017466731063204146, 0.017522795068418324, 0.017596835508879943, 0.017698030914613277, 0.017842524471770191, 0.018061038736530543, 0.01841845965324438, 0.019073057773344029, 0.020502358195194487, 0.024738344915957979, 0.04690224399584015, 0.057437361814718736, 0.024250295084243565, 0.019393514394711344, 0.018086709547452364, 0.017584131117622945, 0.017348714196237097, 0.017224106162419938, 0.017152538357268866, 0.017109020477233353, 0.017081459962206308, 0.017063494563906188, 0.017051552823205737, 0.017043523821075969, 0.017038106527754813, 0.0170344708616227, 0.017032071680660441, 0.01703054212954612, 0.01702963016016382, 0.017029159512536442, 0.017029005049383341, 0.01702907677611952, 0.017029309260607792, 0.01702965449155467, 0.017030076974167915, 0.01703055030973687, 0.017031054776715411, 0.017031575598443507, 0.017032101688417671, 0.017032624732052543, 0.017033138508385653, 0.017033638384759686, 0.017034120937462791, 0.017034583664937764, 0.017035024769600903, 0.017035442990910945, 0.017035837476996447, 0.017036207685485329, 0.017036553306585163, 0.017036874203212458, 0.01703717036425257, 0.017037441867980039, 0.017037688853376011, 0.017037911497608534, 0.017038109998341773, 0.017038284559844213, 0.01703843538209841, 0.017038562652294691, 0.017038666538230558, 0.017038747183247074, 0.017038804702420987, 0.017038839179801531, 0.017038850666538975, 0.017038839179801531, 0.017038804702420987, 0.01703874718324707, 0.017038666538230558, 0.017038562652294698, 0.017038435382098413, 0.01703828455984422, 0.017038109998341773, 0.01703791149760853, 0.017037688853376011, 0.017037441867980035, 0.017037170364252577, 0.017036874203212465, 0.017036553306585159, 0.017036207685485329, 0.017035837476996444, 0.017035442990910948, 0.017035024769600907, 0.017034583664937764, 0.017034120937462788, 0.01703363838475969, 0.017033138508385656, 0.017032624732052543, 0.017032101688417668, 0.017031575598443503, 0.017031054776715418, 0.01703055030973687, 0.017030076974167911, 0.017029654491554674, 0.017029309260607781, 0.017029076776119523, 0.017029005049383341, 0.017029159512536446, 0.017029630160163817, 0.017030542129546123, 0.017032071680660444, 0.0170344708616227, 0.017038106527754813, 0.017043523821075969, 0.01705155282320573, 0.017063494563906177, 0.017081459962206318, 0.017109020477233349, 0.017152538357268873, 0.017224106162419883, 0.017348714196237004, 0.017584131117622886, 0.01808670954745201, 0.019393514394711757, 0.024250295084232557, 0.057437361814634651, 0.046902243995896396, 0.024738344915957063, 0.020502358195194987, 0.01907305777334416, 0.018418459653244075, 0.018061038736530449, 0.017842524471770243, 0.017698030914613305, 0.017596835508880023, 0.017522795068418372, 0.017466731063204132, 0.017423091963242748, 0.017388348533897514, 0.017360163323078659, 0.017336934183280132, 0.017317530492909995, 0.01730113413523917, 0.017287140086456185, 0.017275092280841581, 0.017264641078585177, 0.017255514365126526, 0.017247497483545177, 0.017240419027736233, 0.01723414060771895, 0.01722854935913657, 0.017223552381849735, 0.017219072556280853, 0.01721504535810657, 0.017211416406071069, 0.017208139554803055, 0.017205175397416804, 0.017202490079490075, 0.017200054351975892, 0.017197842809145714, 0.017195833271055047, 0.017194006279803498, 0.017192344686075403, 0.017190833307820001, 0.01718945864696669, 0.017188208653128617, 0.017187072525583692, 0.01718604054661842, 0.017185103940711703, 0.017184254755121448, 0.017183485758288247, 0.017182790353142987, 0.017182162502938542, 0.017181596667652045, 0.017181087749344872, 0.017180631045143405, 0.017180222206725687, 0.017179857205380272, 0.017179532301851562, 0.017179244020306756, 0.017178989125859523, 0.017178764605168373, 0.017178567649696018, 0.01717839564127379, 0.017178246139663501, 0.017178116871850248, 0.017178005722834285, 0.017177910727720614, 0.017177830064930746, 0.017177762050383797, 0.017177705132514182, 0.017177657888010889, 0.017177619018178814, 0.017177587345836916, 0.017177561812680198, 0.017177541477043881, 0.017177525512017844, 0.017177513203868431, 0.017177503950732198, 0.017177497261553328, 0.017177492755241986, 0.017177490160036422, 0.017177489313056005, 0.017177489735694114, 0.017177491020510076, 0.017177493218212929, 0.017177496413331533, 0.017177500724235663, 0.017177506303166355, 0.017177513336276297, 0.01717752204368142, 0.017177532679524866, 0.01717754553205535, 0.017177560923721465, 0.017177579211284745, 0.017177600785953834, 0.017177626073543339, 0.017177655534660611, 0.017177689664924972, 0.017177728995223771, 0.017177774092010809, 0.017177825557652762, 0.017177884030830471, 0.017177950187002005, 0.017178024738935923, 0.017178108437323338, 0.01717820207147857, 0.017178306470139123, 0.017178422502376528, 0.017178551078630946, 0.017178693151883216, 0.017178849718979775, 0.017179021822126727, 0.017179210550571297, 0.017179417042490239, 0.017179642487106669, 0.017179888127059069, 0.017180155261047846, 0.017180445246788075, 0.017180759504299366, 0.017181099519567058, 0.017181466848612673, 0.017181863122015476, 0.017182290049931666, 0.017182749427662767, 0.01718324314183111, 0.017183773177226705, 0.017184341624397876, 0.017184950688066802, 0.017185602696461463, 0.017186300111667278, 0.017187045541115355, 0.017187841750339775, 0.017188691677154991, 0.017189598447424945, 0.017190565392620486, 0.017191596069389886, 0.017192694281400685, 0.017193864103750081, 0.017195109910286478, 0.017196436404238964, 0.017197848652614235, 0.01719935212489565, 0.017200952736667652, 0.017202656898894279, 0.017204471573706137, 0.017206404337700976, 0.017208463453943577, 0.017210657954068696, 0.0172129977321543, 0.017215493652352396, 0.0172181576726551, 0.017221002987651338, 0.017224044193717286, 0.01722729748080961, 0.017230780855931972, 0.017234514404469523, 0.017238520596996407, 0.017242824650939861, 0.017247454958739909, 0.017252443597022427, 0.017257826934999748, 0.017263646365092363, 0.017269949184988066, 0.017276789668518089, 0.017284230373523304, 0.017292343749274654, 0.017301214125371358, 0.017310940190329166, 0.017321638104132321, 0.017333445439019737, 0.017346526212898169, 0.017361077379337949, 0.017377337281357132, 0.017395596785264533, 0.017416214120695505, 0.017439634919976337, 0.017466419666718976, 0.017497281885757089, 0.017533142202297382, 0.017575206341718375, 0.017625080096760479, 0.017684942882284126, 0.017757816904974588, 0.017847997657632245, 0.017961767178963549, 0.018108625271051598, 0.018303519699896194, 0.018571124641116262, 0.018954639874945861, 0.019535512940030884, 0.020482728641731722, 0.02219472760365887, 0.025792592746516844, 0.035295318384319839, 0.067348326628601823, 0.084576869679906075, 0.038754035088880839, 0.025256984497352981, 0.021009372193003892, 0.019263509651399339, 0.018406200200781681, 0.017932275284052338, 0.017647617050227868, 0.017465921920904438, 0.017344473590605793, 0.017260326858836016, 0.017200338130909945, 0.017156578213457757, 0.017124055605937154, 0.017099514306817245, 0.017055048778023621, 0.017033900156371396, 0.017023628150316397, 0.017018848819053474, 0.017016991484398603, 0.017016736751266449, 0.017017369553168044, 0.017018485938407171, 0.017019850404961002, 0.017021322398649622, 0.017022816626605299, 0.017024280779155333, 0.017025682610634574, 0.017027002240032185, 0.017028227455723383, 0.01702935079611189, 0.017030367704406302, 0.017031275345669703, 0.017032071838625894, 0.017032755750276681, 0.017033325758243612, 0.01703378042028315, 0.017034118011822662, 0.017034336405922026, 0.017034432978938314, 0.017034404531344416, 0.017034247218011077, 0.017033956486982488, 0.017033527031676893, 0.017032952770449836, 0.017032226882858308, 0.017031341959898878, 0.017030290378002341, 0.017029065108217559, 0.017027661374891298, 0.017026079997444866, 0.017024334151943446, 0.01702246333258698, 0.017020563199851353, 0.017018852667374108, 0.017017835335188611, 0.017018725440674239, 0.017024723242880655, 0.017045590621339739, 0.017119350715668568, 0.017482066579950585, 0.023605267462379551, 0.021950431802544412, 0.01797815825474687, 0.01747829037759344, 0.01731316569718655, 0.017235485042907717, 0.01719145772023083, 0.017163452924595562, 0.017144187274692736, 0.017130162751385087, 0.017119510792187327, 0.017111151012540095, 0.01710441934447228, 0.017098887296620662, 0.017094267270197271, 0.017090359848573978, 0.017087022938234143, 0.017084152919463996, 0.017081672707612943, 0.017079523950395487, 0.017077661786661598, 0.017076051239719121, 0.017074664681718029, 0.017073480016642405, 0.017072479355781042, 0.017071648037244612, 0.01707097389006686, 0.017070446674978441, 0.017070057654683508, 0.01706979926035538, 0.017069664830523013, 0.017069648405058244, 0.017069744561560695, 0.017069948284698492, 0.017070254861410634, 0.017070659796587256, 0.017071158745103617, 0.01707174745702186, 0.01707242173347907, 0.017073177391315763, 0.017074010234908999, 0.017074916033990507, 0.017075890506477495, 0.01707692930553685, 0.017078028010256447, 0.01707918211941864, 0.017080387047967872, 0.017081638125841746, 0.017082930598897001, 0.017084259631711639, 0.017085620312083865, 0.017087007657079895, 0.017088416620507044, 0.017089842101706977, 0.017091278955577972, 0.017092722003744062, 0.01709416604679528, 0.017095605877525906, 0.017097036295097571, 0.017098452120052548, 0.017099848210098353, 0.01710121947657962, 0.017102560901546594, 0.017103867555322616, 0.017105134614464758, 0.017106357380004152, 0.017107531295844802, 0.017108651967192082, 0.01710971517887587, 0.017110716913427599, 0.017111653368766501, 0.017112520975347739, 0.017113316412623824, 0.017114036624672563, 0.01711467883484729, 0.01711524055931056, 0.017115719619320152, 0.017116114152145142, 0.017116422620502159, 0.01711664382041456, 0.017116776887412824, 0.017116821301011213, 0.017116791689420936, 0.017116702940263646, 0.017116555310112802, 0.017116349225702873, 0.017116085282603558, 0.01711576424337671, 0.01711538703522817, 0.017114954747170709, 0.017114468626716971, 0.017113930076124426, 0.017113340648217033, 0.017112702041810535, 0.017112016096770554, 0.017111284788734207, 0.017110510223527366, 0.017109694631311054, 0.01710884036049027, 0.017107949871419923, 0.017107025729941466, 0.017106070600783948, 0.017105087240862099, 0.017104078492502985, 0.017103047276631367, 0.017101996585941668, 0.017100929478082779, 0.017099849068879343, 0.017098758525610377, 0.017097661060363201, 0.017096559923477771, 0.017095458397092679, 0.017094359788801066, 0.017093267425420659, 0.017092184646878374, 0.017091114800206156, 0.017090061233640416, 0.017089027290813276, 0.017088016305019871, 0.017087031593541229, 0.017086076451998278, 0.017085154148707964, 0.017084267919008144, 0.017083420959513814, 0.017082616422262678, 0.017081857408704281, 0.017081146963483059, 0.017080488067961766, 0.017079883633428855, 0.017079336493930484, 0.017078849398665635, 0.017078425003881646, 0.017078065864206887, 0.017077774423358168, 0.017077553004162815, 0.017077403797839074, 0.017077328852484558, 0.017077330060730932, 0.01707740914653378, 0.017077567651081083, 0.017077806917821237, 0.017078128076633045, 0.017078532027185837, 0.017079019421568073, 0.017079590646297316, 0.017080245803863938, 0.01708098469400458, 0.017081806794949174, 0.01708271124493644, 0.017083696824346049, 0.017084761938849884, 0.017085904604038013, 0.017087122432024808, 0.017088412620584408, 0.017089771945399523, 0.017091196756029541, 0.017092682976209896, 0.017094226109080908, 0.017095821247907209, 0.017097463092786199, 0.01709914597375321, 0.017100863880570964, 0.017102610499343425, 0.017104379255919438, 0.017106163365855694, 0.0171079558904959, 0.017109749798502695, 0.017111538031959281, 0.017113313575949845, 0.017115069530342968, 0.017116799182350748, 0.017118496078328705, 0.017120154093226026, 0.017121767496097475, 0.017123331010151198, 0.017124839865929029, 0.017126289846393947, 0.017127677322925854, 0.017128999281490812, 0.017130253338538459, 0.017131437746482871, 0.017132551388920093, 0.017133593766017093, 0.01713456497075987, 0.017135465656962834, 0.017136297000111034, 0.017137060652225762, 0.017137758692013026, 0.017138393571573037, 0.017138968060923278, 0.017139485191521454, 0.017139948199877075, 0.017140360472217495, 0.017140725491035309, 0.017141046784196284, 0.017141327877137156, 0.017141572248537729, 0.017141783289715724, 0.017141964267870267, 0.017142118293193093, 0.017142248289777458, 0.017142356970183403, 0.017142446813465426, 0.017142520046432616, 0.017142578627892278, 0.017142624235622898, 0.017142658255831059, 0.017142681774865848, 0.017142695572993243, 0.017142700120069375], [0.016844687156626528, 0.016844648118306146, 0.016844531095091653, 0.016844336361892739, 0.016844064375794179, 0.016843715774419257, 0.016843291373660113, 0.016842792164795305, 0.016842219311021457, 0.016841574143430831, 0.016840858156471249, 0.016840073002929959, 0.01683922048848693, 0.016838302565886767, 0.016837321328781654, 0.016836279005300894, 0.01683517795140458, 0.016834020644080849, 0.016832809674447991, 0.016831547740823096, 0.016830237641820352, 0.016828882269541424, 0.016827484602921657, 0.016826047701294328, 0.016824574698235738, 0.016823068795753102, 0.016821533258876441, 0.016819971410715711, 0.016818386628043261, 0.016816782337461887, 0.016815162012218526, 0.016813529169723368, 0.016811887369835115, 0.016810240213973413, 0.016808591345120714, 0.016806944448776933, 0.016805303254932371, 0.016803671541125834, 0.016802053136657075, 0.016800451928024852, 0.016798871865663343, 0.016797316972051068, 0.016795791351266579, 0.01679429920006368, 0.016792844820535301, 0.016791432634427873, 0.016790067199156364, 0.016788753225552056, 0.01678749559734849, 0.016786299392373714, 0.016785169905364831, 0.016784112672250679, 0.016783133495654808, 0.016782238471248059, 0.016781434014420775, 0.016780726886541503, 0.016780124219812467, 0.016779633539413013, 0.016779262781231097, 0.016779020303011809, 0.016778914886194967, 0.016778955725072122, 0.01677915239917507, 0.016779514824038139, 0.016780053174697364, 0.016780777775574879, 0.016781698949853811, 0.016782826821231746, 0.016784171061252233, 0.01678574057650687, 0.016787543132165864, 0.016789584911833102, 0.01679187001889252, 0.016794399931453784, 0.01679717293163208, 0.016800183539775981, 0.01680342199449962, 0.016806873828570497, 0.016810519596962944, 0.016814334814540796, 0.01681829015481388, 0.016822351946605047, 0.016826482982113148, 0.01683064361936271, 0.016834793127917122, 0.016838891194096799, 0.016842899476561854, 0.016846783090144094, 0.016850511898437243, 0.016854061514153546, 0.016857413937778121, 0.016860557804255299, 0.016863488247780636, 0.016866206430035259, 0.016868718802806548, 0.016871036189665553, 0.016873172773388907, 0.016875145068171983, 0.016876970941489332, 0.0168786687330542, 0.016880256500626856, 0.016881751406548219, 0.016883169246072447, 0.016884524109290394, 0.016885828162537819, 0.016887091532169229, 0.0168883222727866, 0.016889526402766177, 0.01689070799162232, 0.016891869285904554, 0.016893010862588625, 0.01689413180106376, 0.016895229866699592, 0.016896301700539764, 0.016897343010906646, 0.016898348763640176, 0.016899313368379684, 0.016900230858784338, 0.016901095064930378, 0.016901899776370452, 0.016902638894532352, 0.016903306573302291, 0.016903897346798657, 0.016904406243506517, 0.016904828886109211, 0.016905161576515663, 0.016905401365731241, 0.016905546108346107, 0.016905594501512265, 0.016905594948134144, 0.016905596341293398, 0.016905598840949453, 0.01690560271396456, 0.016905608334503545, 0.016905616184603799, 0.016905626854926178, 0.016905641045702077, 0.016905659567896206, 0.016905683344610369, 0.016905713412759982, 0.01690575092506218, 0.016905797152382995, 0.016905853486500543, 0.016905921443351429, 0.016906002666840284, 0.016906098933304445, 0.016906212156741873, 0.016906344394925912, 0.016906497856549626, 0.0169066749095634, 0.016906878090893029, 0.016907110117753463, 0.016907373900804587, 0.016907672559432742, 0.016908009439485013, 0.016908388133834901, 0.016908812506219568, 0.016909286718862118, 0.016909815264481862, 0.016910403003402488, 0.016911055206599534, 0.016911777605688606, 0.016912576451052132, 0.016913458579545213, 0.016914431493520704, 0.016915503453287389, 0.016916683585581131, 0.016917982011215214, 0.016919409995815711, 0.016920980128487587, 0.016922706534458092, 0.016924605129287475, 0.016926693924236184, 0.016928993394983455, 0.016931526929316296, 0.016934321373942983, 0.01693740770664378, 0.016940821868139947, 0.016944605799182291, 0.016948808743657763, 0.016953488899790776, 0.016958715531468518, 0.016964571694425671, 0.016971157793759104, 0.016978596279826893, 0.016987037924660862, 0.016996670326010415, 0.017007729603243125, 0.017020516750298149, 0.017035420920853916, 0.017052953264390675, 0.017073797224814218, 0.017098885253723758, 0.017129519271076487, 0.017167566252274877, 0.017215788340265669, 0.017278425913406552, 0.017362284666415709, 0.017478899527028902, 0.017649205511690181, 0.017914713303009179, 0.018368132631633005, 0.019254601857418192, 0.021413449706296522, 0.029286533302028749, 0.074701635748009074, 0.034387049728474658, 0.020941342436619916, 0.018367856364212558, 0.017537005705539246, 0.017184901958191071, 0.017010052005602846, 0.016913912982513931, 0.016857245800592429, 0.016822164941671099, 0.016799675996333779, 0.016784905211354628, 0.01677505249880501, 0.016768431717514295, 0.016763987702909575, 0.016761038723652286, 0.016759132355763141, 0.016757961465646714, 0.016757313489634294, 0.016757038873092902, 0.016757030905355127, 0.016757212532421031, 0.016757527553331555, 0.016757934634164862, 0.016758403170496296, 0.016758910385040193, 0.016759439264505911, 0.016759977075303002, 0.016760514284027982, 0.016761043764577991, 0.016761560210566056, 0.01676205969634029, 0.016762539346610379, 0.016762997086156025, 0.01676343144906807, 0.016763841432578419, 0.016764226384517689, 0.016764585916295011, 0.016764919835361377, 0.016765228092626646, 0.016765510741410229, 0.016765767905328452, 0.01676599975313629, 0.016766206479003128, 0.01676638828705268, 0.016766545379263618, 0.016766677946033298, 0.016766786158865479, 0.016766870164767522, 0.016766930082041349, 0.016766965997231632, 0.016766977963060301, 0.016766965997231636, 0.016766930082041349, 0.016766870164767522, 0.016766786158865479, 0.016766677946033301, 0.016766545379263621, 0.016766388287052684, 0.016766206479003128, 0.016765999753136283, 0.016765767905328455, 0.016765510741410226, 0.016765228092626656, 0.01676491983536138, 0.016764585916295011, 0.016764226384517685, 0.016763841432578416, 0.016763431449068077, 0.016762997086156032, 0.016762539346610376, 0.016762059696340294, 0.016761560210566056, 0.016761043764577998, 0.016760514284027982, 0.016759977075303002, 0.016759439264505908, 0.016758910385040196, 0.016758403170496289, 0.016757934634164865, 0.016757527553331559, 0.016757212532421021, 0.01675703090535513, 0.016757038873092909, 0.016757313489634291, 0.01675796146564671, 0.016759132355763151, 0.016761038723652286, 0.016763987702909572, 0.016768431717514298, 0.016775052498805017, 0.016784905211354614, 0.016799675996333766, 0.016822164941671096, 0.016857245800592419, 0.016913912982513948, 0.017010052005602766, 0.017184901958190935, 0.017537005705539135, 0.01836785636421194, 0.020941342436620755, 0.034387049728439222, 0.074701635748072967, 0.029286533302046353, 0.021413449706296207, 0.019254601857418511, 0.018368132631633081, 0.01791471330300896, 0.017649205511690122, 0.017478899527028951, 0.017362284666415734, 0.017278425913406621, 0.017215788340265711, 0.017167566252274863, 0.017129519271076508, 0.017098885253723752, 0.017073797224814221, 0.017052953264390672, 0.01703542092085393, 0.017020516750298153, 0.017007729603243139, 0.016996670326010412, 0.016987037924660858, 0.016978596279826893, 0.016971157793759101, 0.016964571694425664, 0.016958715531468507, 0.016953488899790779, 0.01694880874365777, 0.016944605799182295, 0.016940821868139944, 0.01693740770664378, 0.016934321373942986, 0.016931526929316293, 0.016928993394983452, 0.01692669392423618, 0.016924605129287472, 0.016922706534458095, 0.016920980128487591, 0.016919409995815711, 0.016917982011215225, 0.016916683585581127, 0.016915503453287385, 0.016914431493520704, 0.01691345857954521, 0.016912576451052132, 0.016911777605688599, 0.016911055206599534, 0.016910403003402491, 0.016909815264481869, 0.016909286718862122, 0.016908812506219565, 0.016908388133834901, 0.016908009439485009, 0.016907672559432745, 0.016907373900804584, 0.016907110117753459, 0.016906878090893029, 0.016906674909563393, 0.016906497856549629, 0.016906344394925905, 0.016906212156741873, 0.016906098933304439, 0.016906002666840284, 0.016905921443351433, 0.016905853486500533, 0.016905797152382999, 0.016905750925062173, 0.016905713412759982, 0.016905683344610369, 0.016905659567896199, 0.016905641045702077, 0.016905626854926182, 0.016905616184603799, 0.016905608334503545, 0.016905602713964553, 0.01690559884094945, 0.016905596341293398, 0.016905594948134144, 0.016905594501512269, 0.016905594723989895, 0.016905595408065008, 0.016905596603667278, 0.016905598394022781, 0.016905600895669302, 0.016905604258478354, 0.016905608665684826, 0.016905614333924904, 0.016905621513283699, 0.016905630487353888, 0.016905641573307217, 0.016905655121980893, 0.016905671517981346, 0.016905691179808377, 0.016905714560002706, 0.016905742145321086, 0.016905774456942996, 0.016905812050713991, 0.01690585551743112, 0.016905905483176588, 0.016905962609706331, 0.016906027594901361, 0.016906101173289872, 0.016906184116649504, 0.016906277234699708, 0.016906381375895143, 0.0169064974283323, 0.016906626320782079, 0.01690676902386291, 0.016906926551369605, 0.016907099961775019, 0.016907290359922632, 0.016907498898930309, 0.01690772678232684, 0.016907975266445135, 0.016908245663098193, 0.01690853934256635, 0.016908857736927255, 0.016909202343763089, 0.016909574730283292, 0.016909976537905002, 0.016910409487338029, 0.016910875384226687, 0.016911376125406469, 0.016911913705840782, 0.016912490226310639, 0.016913107901939211, 0.016913769071643762, 0.016914476208619238, 0.016915231931971593, 0.016916039019635079, 0.01691690042272587, 0.016917819281506097, 0.01691879894315701, 0.016919842981589033, 0.016920955219550414, 0.016922139753335414, 0.016923400980439793, 0.016924743630565595, 0.016926172800441605, 0.016927693993002261, 0.016929313161557442, 0.016931036759693544, 0.016932871797773575, 0.016934825907058065, 0.016936907412652153, 0.016939125416706648, 0.016941489893569424, 0.016944011798910193, 0.016946703195239624, 0.016949577396732182, 0.016952649136861855, 0.016955934763102289, 0.016959452463864461, 0.016963222533995549, 0.016967267686606485, 0.01697161342081786, 0.016976288457326148, 0.016981325256645724, 0.016986760638677101, 0.016992636527162853, 0.016999000848992252, 0.017005908626717848, 0.01701342331376764, 0.017021618436678442, 0.017030579628662217, 0.017040407165990298, 0.017051219155997058, 0.017063155577313117, 0.017076383445699582, 0.017091103482324274, 0.017107558810430266, 0.017126046424350654, 0.017146932498548727, 0.01717067309327535, 0.017197842565536782, 0.017229173174537801, 0.017265611264963791, 0.017308398525838826, 0.017359192083375788, 0.017420246343940404, 0.017494695992629129, 0.017587010399636893, 0.017703749959018449, 0.017854878702703587, 0.018056157158255075, 0.01833376829138629, 0.018733921725399422, 0.019344637384800044, 0.020351027418287392, 0.022197737856394419, 0.026169098115414319, 0.037028280616975009, 0.073617344176923893, 0.077243261212762024, 0.035650271897494722, 0.024157745594900446, 0.020413297525919558, 0.018835460473579545, 0.018048012239694284, 0.017607904824318416, 0.017341503668874571, 0.017170502138118972, 0.017055725023224919, 0.016975954415458832, 0.016918956193981163, 0.016877310586189385, 0.016846326378025092, 0.016791269077539157, 0.016765620802221552, 0.016753260635049984, 0.01674746297972772, 0.016745101505625162, 0.016744604093941847, 0.016745132299656292, 0.016746218574195441, 0.016747593236815447, 0.016749096778738523, 0.016750633158582114, 0.016752143889183231, 0.016753593160959774, 0.016754959053449456, 0.016756228217141896, 0.016757392589502599, 0.016758447332124282, 0.016759389515753675, 0.016760217270898246, 0.016760929231895847, 0.016761524167413965, 0.016762000729618282, 0.016762357278436474, 0.016762591752574909, 0.016762701568852539, 0.016762683538257887, 0.016762533792473687, 0.016762247719755284, 0.016761819915450154, 0.016761244162216443, 0.016760513471763577, 0.016759620250488501, 0.016758556709119073, 0.016757315748923484, 0.016755892782998261, 0.016754289421754685, 0.016752520974372024, 0.016750632055991935, 0.016748730273572879, 0.01674706285188475, 0.016746203869052817, 0.016747558331294123, 0.016754913622605797, 0.01678023391149713, 0.016873001629322721, 0.017382726775456322, 0.031935318144703941, 0.019940555333901513, 0.017559639241028838, 0.017165282069300753, 0.017023724408783501, 0.016954377658986778, 0.016914115664237703, 0.016888093017613313, 0.016869985647735716, 0.016856691184460162, 0.016846526452859403, 0.01683850662822222, 0.016832020688632276, 0.016826671386949224, 0.016822190441546342, 0.01681839087119389, 0.016815138865829474, 0.016812336487299056, 0.016809910647831397, 0.016807805869793298, 0.016805979400285501, 0.0168043978358422, 0.01680303474098856, 0.016801868936233255, 0.016800883246472564, 0.016800063572079863, 0.016799398190072354, 0.016798877221924208, 0.016798492223840375, 0.01679823586822957, 0.016798101693940387, 0.016798083908942871, 0.016798177233440889, 0.016798376774467036, 0.016798677925223767, 0.016799076284049409, 0.016799567589079193, 0.016800147665560487, 0.016800812383450384, 0.01680155762343306, 0.016802379249884924, 0.016803273089617255, 0.016804234915462408, 0.016805260433954281, 0.016806345276500476, 0.016807484993560058, 0.016808675051433776, 0.01680991083134822, 0.016811187630575174, 0.016812500665375252, 0.016813845075593088, 0.016815215930761643, 0.016816608237596339, 0.016818016948778089, 0.016819436972936995, 0.016820863185757793, 0.016822290442133552, 0.016823713589297015, 0.01682512748085838, 0.016826526991676992, 0.01682790703348986, 0.016829262571214754, 0.016830588639839189, 0.016831880361799348, 0.016833132964744833, 0.016834341799577802, 0.016835502358646944, 0.016836610293969389, 0.016837661435347411, 0.01683865180824105, 0.016839577651253775, 0.016840435433085783, 0.016841221868808175, 0.016841933935312962, 0.016842568885796418, 0.016843124263138668, 0.016843597912049656, 0.01684398798986099, 0.016844292975854672, 0.016844511679032823, 0.016844643244247524, 0.016844687156626528, 0.016844657879211539, 0.016844570131678182, 0.016844424167897606, 0.016844220410111653, 0.016843959447623943, 0.016843642034980136, 0.016843269089649615, 0.016842841689224425, 0.016842361068154229, 0.016841828614039014, 0.01684124586350386, 0.016840614497682489, 0.01683993633733822, 0.016839213337652856, 0.016838447582715063, 0.016837641279741335, 0.016836796753062423, 0.016835916437909423, 0.016835002874032636, 0.016834058699186426, 0.016833086642512315, 0.016832089517851138, 0.016831070217014247, 0.016830031703040874, 0.016828977003467634, 0.016827909203633289, 0.016826831440039068, 0.016825746893782422, 0.016824658784078312, 0.016823570361879623, 0.016822484903603864, 0.016821405704970444, 0.016820336074948424, 0.016819279329811136, 0.016818238787289636, 0.016817217760812971, 0.016816219553819199, 0.016815247454116441, 0.016814304728269207, 0.016813394615980946, 0.016812520324439115, 0.016811685022585364, 0.016810891835268717, 0.016810143837235988, 0.016809444046909774, 0.016808795419900758, 0.016808200842198102, 0.016807663122978989, 0.016807184986976337, 0.016806769066342684, 0.016806417891947912, 0.016806133884049522, 0.016805919342276737, 0.016805776434873857, 0.016805707187154503, 0.016805713469127341, 0.016805796982264962, 0.01680595924540234, 0.016806201579769416, 0.016806525093184026, 0.016806930663457547, 0.016807418921096169, 0.016807990231415309, 0.016808644676224439, 0.016809382035283059, 0.01681020176777611, 0.016811102994107756, 0.016812084478364922, 0.016813144611855128, 0.016814281398174809, 0.016815492440312278, 0.016816774930330979, 0.016818125642210864, 0.016819540928444454, 0.016821016720987399, 0.016822548537145446, 0.016824131490939979, 0.016825760310427915, 0.016827429361358344, 0.016829132677426233, 0.016830863997234609, 0.016832616807902163, 0.016834384395058515, 0.016836159898759921, 0.016837936374642069, 0.01683970685941354, 0.0168414644395928, 0.016843202322215738, 0.016844913906098765, 0.01684659285214446, 0.01684823315113098, 0.016849829187436972, 0.016851375797223643, 0.016852868319723616, 0.016854302640467198, 0.016855675225503578, 0.016856983145936207, 0.016858224092376594, 0.016859396379213978, 0.016860498938887664, 0.016861531306619978, 0.016862493596309869, 0.016863386468490921, 0.016864211091416031, 0.016864969096441206, 0.016865662528941436, 0.016866293796004395, 0.016866865612117751, 0.016867380943997087, 0.016867842955603569, 0.016868254954278367, 0.016868620338784498, 0.016868942549902434, 0.016869225024080347, 0.016869471150499495, 0.016869684231784358, 0.016869867448469116, 0.016870023827230015, 0.016870156212807897, 0.016870267243477569, 0.016870359329870781, 0.016870434636925977, 0.016870495068720567, 0.016870542255937121, 0.016870577545724286, 0.016870601993732002, 0.016870616358128955, 0.0168706210954459], [0.016808907381987676, 0.016808869533335241, 0.016808756076370723, 0.016808567277751377, 0.016808303580838575, 0.01680796560410705, 0.016807554138938665, 0.016807070146820778, 0.016806514755975135, 0.016805889257448501, 0.016805195100700349, 0.016804433888728314, 0.016803607372775579, 0.016802717446668159, 0.016801766140833146, 0.016800755616052047, 0.016799688157005156, 0.016798566165664965, 0.016797392154598155, 0.016796168740236268, 0.016794898636176479, 0.016793584646573174, 0.016792229659682301, 0.016790836641619161, 0.016789408630390464, 0.016787948730261019, 0.016786460106514488, 0.016784945980667522, 0.016783409626195837, 0.016781854364830467, 0.016780283563482479, 0.016778700631854094, 0.016777109020794819, 0.016775512221461796, 0.016773913765344248, 0.016772317225213277, 0.016770726217059981, 0.016769144403086206, 0.016767575495814202, 0.016766023263383365, 0.016764491536103491, 0.01676298421433486, 0.016761505277765439, 0.016760058796153401, 0.016758648941599379, 0.01675728000240486, 0.016755956398561415, 0.016754682698896722, 0.016753463639876776, 0.0167523041460261, 0.016751209351876042, 0.01675018462528155, 0.016749235591854525, 0.016748368160140869, 0.016747588547012263, 0.016746903302545253, 0.016746319333410031, 0.016745843923481919, 0.016745484750009774, 0.016745249893221632, 0.016745147836713353, 0.016745187455352976, 0.016745377986751863, 0.016745728981628284, 0.016746250227663632, 0.016746951640797945, 0.016747843117435744, 0.016748934340884026, 0.016750234535716932, 0.016751752164895328, 0.016753494566638005, 0.016755467531520012, 0.016757674825294919, 0.016760117669609553, 0.016762794200991516, 0.016765698937798303, 0.016768822294346408, 0.016772150189835126, 0.016775663805156295, 0.016779339541222509, 0.016783149226174229, 0.016787060604512082, 0.016791038118827258, 0.016795043965994044, 0.016799039377833037, 0.016802986046140722, 0.016806847588945129, 0.016810590943564116, 0.016814187575310668, 0.016817614408595947, 0.016820854416951615, 0.016823896845113703, 0.016826737073733895, 0.016829376169823693, 0.01683182018954392, 0.016834079312448177, 0.01683616688798651, 0.01683809846789102, 0.016839890884869584, 0.016841561421892901, 0.01684312709995053, 0.016844604097425865, 0.016846007302340128, 0.016847349990060847, 0.016848643613538484, 0.016849897690273227, 0.016851119769413711, 0.016852315463029718, 0.016853488527124198, 0.016854640979911389, 0.01685577324695799, 0.016856884324747207, 0.016857971955953198, 0.016859032811150542, 0.016860062672822414, 0.016861056618397846, 0.016862009199686195, 0.016862914616537963, 0.016863766882896414, 0.016864559983661157, 0.016865288020999899, 0.016865945348944825, 0.016866526695310028, 0.016867027270170622, 0.016867442860346929, 0.016867769909528943, 0.016868005583842036, 0.016868147822784146, 0.01686819537554857, 0.01686819556653139, 0.016868196190258825, 0.016868197399145846, 0.016868199447478607, 0.016868202691809511, 0.01686820759151747, 0.016868214709541036, 0.016868224713295576, 0.016868238375789754, 0.016868256576961106, 0.01686828030525693, 0.016868310659492961, 0.01686834885103056, 0.016868396206322207, 0.016868454169884868, 0.016868524307772834, 0.016868608311633344, 0.016868708003443457, 0.016868825341041171, 0.016868962424581795, 0.016869121504069884, 0.016869304988138697, 0.016869515454274567, 0.016869755660711881, 0.016870028560257797, 0.016870337316344731, 0.016870685321654429, 0.016871076219712202, 0.016871513929914685, 0.016872002676533521, 0.016872547022331576, 0.01687315190754396, 0.016873822695116541, 0.01687456522326666, 0.016875385866643011, 0.016876291607622891, 0.01687729011961038, 0.016878389864603421, 0.016879600207805344, 0.016880931552694992, 0.016882395500778077, 0.016884005041272201, 0.016885774777297271, 0.016887721196844403, 0.016889862999006123, 0.016892221488841255, 0.016894821058059402, 0.016897689773777026, 0.016900860104393824, 0.016904369820839822, 0.016908263124028274, 0.016912592066743892, 0.016917418362517374, 0.016922815708462807, 0.016928872798431714, 0.016935697274675279, 0.016943420972346947, 0.016952206970647015, 0.016962259208410706, 0.016973835802798855, 0.016987267817385361, 0.017002986219092679, 0.017021561430803651, 0.017043762770785918, 0.017070650230005015, 0.017103720627330989, 0.017145148793345666, 0.017198202410385326, 0.017267991300882884, 0.017362902472548399, 0.017497552436076886, 0.017699429698067953, 0.01802566790993898, 0.018612498218915918, 0.019856938752977817, 0.023352602868652799, 0.040074220864015152, 0.067263471235721781, 0.025393710860244664, 0.019386417075284022, 0.017880806759249294, 0.017322250242609707, 0.017065946540431618, 0.01693200303841897, 0.016855698926323475, 0.016809538434766139, 0.016780388738073238, 0.016761407252193394, 0.016748781525672305, 0.016740271356971963, 0.016734502411432609, 0.016730601050590488, 0.016727995187671905, 0.016726300701728522, 0.016725254130703842, 0.01672467145520885, 0.016724422127777746, 0.01672441229344793, 0.016724573706402172, 0.016724856263863053, 0.01672522288772732, 0.016725645960079125, 0.016726104805458695, 0.016726583889621411, 0.016727071515897189, 0.016727558871735874, 0.016728039324696631, 0.016728507898102117, 0.016728960877422528, 0.016729395512677624, 0.016729809791972312, 0.016730202268150637, 0.016730571925407212, 0.016730918076159913, 0.016731240280983873, 0.016731538286222064, 0.016731811975217906, 0.016732061330098323, 0.016732286401767816, 0.01673248728632248, 0.016732664106507988, 0.016732816997160595, 0.01673294609381255, 0.016733051523830225, 0.016733133399599424, 0.016733191813388448, 0.016733226833612135, 0.016733238502296965, 0.016733226833612131, 0.016733191813388452, 0.01673313339959942, 0.016733051523830221, 0.01673294609381256, 0.016732816997160605, 0.016732664106507998, 0.01673248728632248, 0.016732286401767809, 0.016732061330098323, 0.016731811975217906, 0.016731538286222078, 0.016731240280983876, 0.016730918076159916, 0.016730571925407216, 0.01673020226815063, 0.016729809791972319, 0.016729395512677627, 0.016728960877422528, 0.016728507898102114, 0.016728039324696634, 0.016727558871735881, 0.016727071515897196, 0.016726583889621408, 0.016726104805458691, 0.016725645960079125, 0.01672522288772732, 0.016724856263863053, 0.016724573706402179, 0.016724412293447923, 0.016724422127777749, 0.01672467145520885, 0.016725254130703845, 0.016726300701728515, 0.016727995187671912, 0.016730601050590488, 0.016734502411432605, 0.016740271356971963, 0.016748781525672309, 0.016761407252193383, 0.016780388738073228, 0.016809538434766146, 0.016855698926323465, 0.016932003038418991, 0.017065946540431507, 0.017322250242609513, 0.017880806759249121, 0.019386417075282807, 0.025393710860247339, 0.067263471235640956, 0.04007422086405775, 0.023352602868659745, 0.019856938752977622, 0.01861249821891613, 0.018025667909939046, 0.01769942969806779, 0.01749755243607683, 0.01736290247254843, 0.017267991300882905, 0.017198202410385388, 0.017145148793345708, 0.017103720627330971, 0.017070650230005029, 0.017043762770785911, 0.017021561430803651, 0.017002986219092676, 0.016987267817385375, 0.016973835802798855, 0.016962259208410716, 0.016952206970647008, 0.01694342097234695, 0.016935697274675282, 0.016928872798431714, 0.01692281570846281, 0.016917418362517367, 0.016912592066743899, 0.016908263124028274, 0.016904369820839829, 0.016900860104393827, 0.016897689773777029, 0.016894821058059391, 0.016892221488841251, 0.016889862999006126, 0.0168877211968444, 0.016885774777297274, 0.016884005041272201, 0.016882395500778077, 0.016880931552694996, 0.016879600207805347, 0.016878389864603417, 0.016877290119610384, 0.016876291607622891, 0.016875385866643007, 0.01687456522326666, 0.016873822695116537, 0.016873151907543963, 0.016872547022331579, 0.016872002676533528, 0.016871513929914692, 0.016871076219712199, 0.016870685321654429, 0.016870337316344727, 0.016870028560257797, 0.016869755660711881, 0.016869515454274561, 0.016869304988138697, 0.016869121504069877, 0.016868962424581791, 0.016868825341041165, 0.016868708003443457, 0.016868608311633341, 0.016868524307772834, 0.016868454169884872, 0.016868396206322196, 0.01686834885103056, 0.016868310659492958, 0.016868280305256934, 0.016868256576961106, 0.016868238375789747, 0.01686822471329558, 0.016868214709541033, 0.016868207591517474, 0.016868202691809515, 0.016868199447478603, 0.016868197399145839, 0.016868196190258821, 0.01686819556653139, 0.016868195375548574, 0.016868195470249942, 0.016868195770258273, 0.016868196323289432, 0.016868197208880616, 0.016868198538406643, 0.016868200455103278, 0.016868203134098054, 0.016868206782449185, 0.01686821163919348, 0.016868217975404401, 0.016868226094261494, 0.016868236331132894, 0.016868249053672842, 0.016868264661936715, 0.016868283588515998, 0.016868306298696796, 0.016868333290645302, 0.016868365095624682, 0.01686840227824804, 0.016868445436773141, 0.016868495203444706, 0.016868552244891526, 0.016868617262585567, 0.016868690993371762, 0.016868774210077573, 0.016868867722212383, 0.016868972376768029, 0.016869089059132175, 0.016869218694128059, 0.01686936224719467, 0.016869520725723022, 0.01686969518056541, 0.016869886707736117, 0.016870096450323568, 0.016870325600635713, 0.016870575402602658, 0.016870847154462413, 0.016871142211758471, 0.016871461990680497, 0.016871807971782768, 0.016872181704118479, 0.01687258480983201, 0.016873018989256205, 0.016873486026566586, 0.016873987796050812, 0.016874526269058276, 0.016875103521702951, 0.016875721743401406, 0.016876383246338562, 0.016877090475965535, 0.016877846022648118, 0.016878652634600127, 0.016879513232254718, 0.016880430924248038, 0.016881409025214882, 0.016882451075625002, 0.016883560863922866, 0.016884742451273589, 0.016886000199264426, 0.016887338800966368, 0.016888763315825301, 0.016890279208928889, 0.016891892395286667, 0.016893609289868945, 0.01689543686427996, 0.016897382711095442, 0.016899455117081331, 0.016901663146735083, 0.016904016737863369, 0.016906526811240618, 0.01690920539679713, 0.016912065779280099, 0.016915122666940792, 0.016918392387554788, 0.016921893117019339, 0.016925645146942513, 0.016929671199108823, 0.016933996796562694, 0.016938650703409327, 0.016943665448446693, 0.016949077951619561, 0.016954930277307774, 0.016961270545010957, 0.016968154036600895, 0.016975644550718622, 0.016983816070133988, 0.016992754828434511, 0.017002561890382944, 0.017013356398752788, 0.017025279693936468, 0.017038500587857188, 0.017053222180880668, 0.017069690765139117, 0.017088207584314584, 0.017109144557176433, 0.017132965582654435, 0.017160255831449693, 0.017191762668105057, 0.017228453841301339, 0.017271601869024301, 0.017322909120735409, 0.017384697843488655, 0.01746020700486443, 0.017554070967477742, 0.017673120146565961, 0.017827778519518611, 0.018034628539487455, 0.018321410135860597, 0.018737503126657555, 0.01937800043964228, 0.02044578620187093, 0.022437849811194909, 0.026829679413772727, 0.039278882890121651, 0.080128031894981119, 0.069762181850566859, 0.033277472315652118, 0.023443025259290071, 0.020119417341718397, 0.018683014133304341, 0.017953878074677333, 0.017541411485234918, 0.017289461836504601, 0.017126571159651736, 0.017016590009117444, 0.01693976629762067, 0.016884629424152371, 0.016844181208475213, 0.016773534631263153, 0.016741041063650212, 0.016725266944682841, 0.016717599532605168, 0.016714136826439529, 0.016712951530668981, 0.0167130284118614, 0.01671380586410896, 0.0167149613613366, 0.016716304322275014, 0.016717719717528334, 0.016719137067331896, 0.016720512769152159, 0.016721819712616277, 0.016723041018134072, 0.016724166178832364, 0.016725188638923652, 0.016726104249194011, 0.016726910267705918, 0.016727604704240156, 0.016728185883665841, 0.016728652149508944, 0.016729001657289737, 0.01672923222499902, 0.016729341219663418, 0.016729325466967829, 0.016729181177179208, 0.016728903886665789, 0.016728488421804893, 0.016727928903439365, 0.016727218829427695, 0.016726351308014895, 0.016725319581118947, 0.016724118105892312, 0.016722744723142419, 0.016721204985120402, 0.016719520903527851, 0.016717749115572462, 0.016716020184293062, 0.016714628576551878, 0.016714254985850094, 0.016716575200439558, 0.016726183109258282, 0.016758068981061507, 0.01687823598753484, 0.017628624000050726, 0.053140716959071833, 0.018952826647671488, 0.0174069801420106, 0.017091927320267326, 0.016970647019705149, 0.016909114265720983, 0.016872631896890859, 0.016848722252999652, 0.016831920586723968, 0.016819494199184052, 0.016809939524156617, 0.016802367371067863, 0.016796221408965809, 0.016791137508368394, 0.016786868401926801, 0.016783240971274347, 0.016780130856089155, 0.016777446742225859, 0.016775120298363491, 0.016773099534742191, 0.016771344303848797, 0.016769823180800638, 0.016768511255345293, 0.016767388540062829, 0.016766438803710763, 0.016765648703389438, 0.016765007130324441, 0.016764504710741954, 0.016764133420964385, 0.016763886287740146, 0.016763757152958966, 0.016763740487558989, 0.016763831243417224, 0.01676402473486106, 0.016764316543495025, 0.016764702441541574, 0.016765178330006271, 0.016765740188808567, 0.016766384036645654, 0.016767105898834081, 0.016767901781740608, 0.016768767652697296, 0.01676969942451826, 0.016770692943909597, 0.016771743983202424, 0.016772848234948966, 0.016774001309009454, 0.016775198731828447, 0.016776435947655533, 0.016777708321510876, 0.01677901114373222, 0.016780339635968599, 0.016781688958508071, 0.016783054218843997, 0.016784430481396533, 0.016785812778314445, 0.016787196121287817, 0.016788575514304297, 0.016789945967281214, 0.016791302510504105, 0.016792640209797805, 0.016793954182351134, 0.016795239613109705, 0.016796491771644214, 0.016797706029393754, 0.016798877877176249, 0.016800002942850185, 0.016801077009004687, 0.016802096030548722, 0.016803056152064687, 0.016803953724787549, 0.016804785323068328, 0.016805547760179184, 0.01680623810331925, 0.016806853687682425, 0.016807392129453914, 0.016807851337609172, 0.016808229524397783, 0.016808525214406556, 0.016808737252108141, 0.016808864807816647, 0.016808907381987676, 0.016808878996785979, 0.016808793923375177, 0.016808652408082003, 0.016808454860599575, 0.016808201852716219, 0.016807894116548316, 0.016807532542288901, 0.016807118175487579, 0.016806652213879978, 0.016806136003787771, 0.016805571036113066, 0.016804958941953062, 0.016804301487862879, 0.016803600570796121, 0.016802858212753999, 0.016802076555175134, 0.016801257853097971, 0.016800404469129095, 0.016799518867249525, 0.016798603606491474, 0.016797661334516531, 0.016796694781125641, 0.016795706751729488, 0.0167947001208061, 0.016793677825370362, 0.016792642858478202, 0.016791598262784948, 0.016790547124175041, 0.016789492565476946, 0.016788437740274085, 0.016787385826818917, 0.016786340022054019, 0.016785303535739905, 0.016784279584686042, 0.016783271387076908, 0.016782282156881413, 0.016781315098329704, 0.016780373400437122, 0.016779460231551083, 0.01677857873389229, 0.016777732018057538, 0.016776923157447395, 0.016776155182577749, 0.016775431075230475, 0.016774753762395019, 0.016774126109948814, 0.016773550916021947, 0.016773030903988791, 0.01677256871502732, 0.016772166900186136, 0.016771827911898712, 0.016771554094885791, 0.016771347676389305, 0.01677121075568545, 0.016771145292830813, 0.01677115309660426, 0.016771235811618414, 0.016771394904589055, 0.016771631649768724, 0.016771947113572071, 0.016772342138446358, 0.016772817326070225, 0.016773373019998056, 0.016774009287905775, 0.016774725903636527, 0.016775522329290967, 0.016776397697655775, 0.016777350795315147, 0.016778380046840818, 0.016779483500506186, 0.016780658816015266, 0.016781903254776933, 0.016783213673284132, 0.016784586520174786, 0.01678601783755158, 0.016787503267118906, 0.016789038061653699, 0.016790617102260364, 0.016792234921766847, 0.016793885734498314, 0.016795563472518843, 0.016797261828260832, 0.016798974303272943, 0.0168006942626144, 0.01680241499421577, 0.016804129772322079, 0.016805831923943491, 0.016807514897072946, 0.016809172329297874, 0.016810798115344566, 0.016812386472055334, 0.01681393199931535, 0.016815429735519197, 0.016816875206296177, 0.016818264465392262, 0.016819594126828475, 0.01682086138770961, 0.016822064041332015, 0.016823200480520575, 0.016824269691401064, 0.016825271238071614, 0.016826205238865365, 0.01682707233508754, 0.016827873653257278, 0.016828610761985281, 0.016829285624671574, 0.016829900549215848, 0.016830458135900006, 0.016830961224534129, 0.016831412841860578, 0.016831816150092736, 0.016832174397333616, 0.016832490870480912, 0.016832768851086439, 0.016833011574504234, 0.016833222192537373, 0.016833403739681861, 0.01683355910296978, 0.016833690995333453, 0.016833801932349179, 0.016833894212172424, 0.016833969898445149, 0.016834030805940408, 0.016834078488705519, 0.016834114230474921, 0.016834139037141819, 0.016834153631105405, 0.01683415844734424], [0.016624726156409229, 0.016624690281630831, 0.016624582741783769, 0.016624403790027054, 0.016624153847277369, 0.016623833500696329, 0.016623443501592571, 0.016622984762757722, 0.016622458355260994, 0.016621865504732176, 0.016621207587166672, 0.016620486124291352, 0.016619702778533384, 0.016618859347637661, 0.016617957758981613, 0.016617000063638795, 0.016615988430244748, 0.016614925138720232, 0.016613812573908586, 0.016612653219184498, 0.01661144965009256, 0.01661020452807347, 0.016608920594336895, 0.016607600663938505, 0.016606247620119332, 0.01660486440896464, 0.016603454034438851, 0.016602019553852973, 0.016600564073820018, 0.016599090746753833, 0.016597602767966506, 0.016596103373419425, 0.016594595838183422, 0.016593083475664086, 0.016591569637648917, 0.016590057715234141, 0.016588551140690629, 0.016587053390329492, 0.016585567988429716, 0.016584098512291874, 0.016582648598482724, 0.016581221950336567, 0.016579822346778444, 0.016578453652532361, 0.016577119829773359, 0.016575824951274472, 0.016574573215087669, 0.016573368960779589, 0.016572216687216583, 0.01657112107185716, 0.016570086991459568, 0.016569119544044851, 0.016568224071866589, 0.016567406185022272, 0.016566671785191337, 0.016566027088794986, 0.016565478648634075, 0.016565033372766543, 0.016564698539026299, 0.016564481803155652, 0.016564391198018915, 0.016564435120788843, 0.016564622304360399, 0.016564961768572403, 0.016565462746151262, 0.016566134577699877, 0.016566986569642877, 0.016568027808946215, 0.016569266928840705, 0.016570711820917905, 0.016572369291086922, 0.016574244660232801, 0.016576341315205034, 0.016578660222071662, 0.016581199421272216, 0.016583953532948458, 0.016586913309483343, 0.016590065279852743, 0.016593391535127733, 0.016596869704508639, 0.0166004731649372, 0.016604171513570208, 0.016607931311295985, 0.016611717078643607, 0.016615492496078257, 0.016619221733235746, 0.016622870810992445, 0.016626408890587637, 0.016629809387739072, 0.016633050826754085, 0.016636117377382867, 0.016638999050942498, 0.016641691566534868, 0.016644195927841422, 0.016646517772287091, 0.016648666565587285, 0.01665065471606823, 0.016652496676456661, 0.016654208088691398, 0.016655805012505531, 0.016657303263492275, 0.016658717872871768, 0.01666006267025635, 0.016661349982750793, 0.016662590438612603, 0.016663792861026202, 0.016664964236761344, 0.016666109745025484, 0.016667232833173458, 0.016668335327698691, 0.016669417570796641, 0.016670478574564124, 0.01667151618646083, 0.016672527260961009, 0.016673507833357692, 0.016674453292475262, 0.016675358549639155, 0.016676218201694945, 0.016677026686210822, 0.016677778427280944, 0.016678467970605682, 0.016679090106779593, 0.016679639981977978, 0.016680113195495783, 0.016680505883846349, 0.016680814791354477, 0.016681037327360218, 0.016681171610269951, 0.016681216498741533, 0.01668121657879202, 0.016681216865793512, 0.016681217500383316, 0.016681218717247905, 0.016681220845560386, 0.016681224309595469, 0.016681229629525278, 0.016681237422401671, 0.016681248403333706, 0.016681263386872869, 0.016681283288624137, 0.016681309127106643, 0.016681342025895742, 0.016681383216086334, 0.016681434039127342, 0.016681495950088266, 0.016681570521430565, 0.016681659447370555, 0.016681764548934896, 0.016681887779826418, 0.016682031233236076, 0.016682197149756987, 0.016682387926579598, 0.016682606128172673, 0.016682854498684934, 0.016683135976336635, 0.016683453710111065, 0.01668381107910423, 0.016684211714947741, 0.016684659527789327, 0.016685158736397469, 0.016685713903057689, 0.016686329974050028, 0.01668701232664669, 0.01668776682375285, 0.016688599877539612, 0.016689518523698852, 0.016690530508298239, 0.016691644389650689, 0.016692869658159502, 0.016694216877791743, 0.016695697853709005, 0.016697325831705054, 0.016699115736539084, 0.016701084458115561, 0.016703251196888098, 0.016705637883050739, 0.016708269688295894, 0.016711175654546512, 0.016714389471649986, 0.016717950446331363, 0.016721904718869675, 0.016726306803643641, 0.016731221557363035, 0.016736726718197988, 0.016742916215880872, 0.016749904536146654, 0.016757832546846603, 0.016766875380813687, 0.016777253260322623, 0.016789246604589671, 0.016803217497877002, 0.016819640812871302, 0.016839150353698297, 0.016862609014837267, 0.016891218555283038, 0.016926697085197874, 0.01697157713471379, 0.017029728974735311, 0.017107329197408074, 0.017214771346904491, 0.017370742903721658, 0.017611834634089687, 0.018018341387355415, 0.018797099902086757, 0.020627096541179214, 0.026846558063208108, 0.064267233776675162, 0.039189054088516334, 0.021453979457770441, 0.018364159765577086, 0.017414128863412117, 0.017021031183874696, 0.016828148120633352, 0.016722632685501532, 0.01666046320022101, 0.016621846397300417, 0.016596921034850734, 0.016580377782095489, 0.0165691793287868, 0.016561501522736433, 0.016556204354623825, 0.016552551437823505, 0.016550053702930338, 0.016548378582505918, 0.016547295322571223, 0.016546641013250714, 0.016546298910507982, 0.016546184268508478, 0.016546234883197185, 0.016546404660749539, 0.016546659169091191, 0.016546972514117606, 0.016547325115957974, 0.016547702106247161, 0.016548092159929601, 0.016548486635036677, 0.016548878933318405, 0.016549264020972749, 0.016549638066588549, 0.016549998165694892, 0.016550342129845869, 0.016550668324172759, 0.01655097554160153, 0.016551262904995503, 0.016551529790700997, 0.016551775768594616, 0.016552000554924989, 0.016552203975128708, 0.016552385934463894, 0.016552546394805259, 0.016552685356324752, 0.016552802843073242, 0.016552898891703652, 0.0165529735427518, 0.016553026834030354, 0.016553058795803134, 0.016553069447499062, 0.016553058795803131, 0.016553026834030357, 0.016552973542751794, 0.016552898891703652, 0.016552802843073249, 0.016552685356324759, 0.016552546394805263, 0.016552385934463891, 0.016552203975128705, 0.016552000554924989, 0.01655177576859462, 0.016551529790701004, 0.016551262904995506, 0.016550975541601533, 0.016550668324172752, 0.016550342129845862, 0.016549998165694895, 0.016549638066588553, 0.016549264020972742, 0.016548878933318401, 0.016548486635036684, 0.016548092159929608, 0.016547702106247161, 0.016547325115957971, 0.016546972514117603, 0.016546659169091191, 0.016546404660749539, 0.016546234883197182, 0.016546184268508481, 0.016546298910507976, 0.016546641013250717, 0.016547295322571223, 0.016548378582505914, 0.016550053702930334, 0.016552551437823509, 0.016556204354623828, 0.016561501522736426, 0.0165691793287868, 0.016580377782095493, 0.01659692103485072, 0.016621846397300397, 0.016660463200221014, 0.016722632685501525, 0.016828148120633372, 0.017021031183874512, 0.017414128863411777, 0.018364159765576787, 0.021453979457767766, 0.039189054088525382, 0.064267233776754459, 0.026846558063221466, 0.020627096541182548, 0.018797099902086681, 0.018018341387355547, 0.017611834634089732, 0.01737074290372153, 0.017214771346904453, 0.017107329197408098, 0.017029728974735332, 0.016971577134713846, 0.016926697085197905, 0.016891218555283027, 0.016862609014837281, 0.01683915035369829, 0.016819640812871309, 0.016803217497877002, 0.016789246604589681, 0.016777253260322623, 0.016766875380813694, 0.016757832546846603, 0.016749904536146654, 0.016742916215880876, 0.016736726718197988, 0.016731221557363039, 0.016726306803643638, 0.016721904718869682, 0.016717950446331366, 0.01671438947164999, 0.016711175654546512, 0.016708269688295904, 0.016705637883050736, 0.016703251196888098, 0.016701084458115557, 0.016699115736539084, 0.016697325831705054, 0.016695697853709005, 0.016694216877791743, 0.016692869658159502, 0.016691644389650692, 0.016690530508298246, 0.016689518523698849, 0.016688599877539616, 0.016687766823752854, 0.016687012326646693, 0.016686329974050028, 0.016685713903057692, 0.016685158736397469, 0.016684659527789331, 0.016684211714947748, 0.016683811079104226, 0.016683453710111065, 0.016683135976336635, 0.016682854498684941, 0.016682606128172673, 0.016682387926579598, 0.016682197149756987, 0.016682031233236069, 0.016681887779826415, 0.016681764548934892, 0.016681659447370555, 0.016681570521430565, 0.01668149595008827, 0.016681434039127342, 0.01668138321608633, 0.016681342025895742, 0.016681309127106636, 0.016681283288624133, 0.016681263386872876, 0.016681248403333706, 0.016681237422401678, 0.016681229629525274, 0.016681224309595465, 0.016681220845560389, 0.016681218717247905, 0.016681217500383309, 0.016681216865793509, 0.01668121657879202, 0.016681216498741536, 0.016681216538041495, 0.016681216670657872, 0.016681216940745144, 0.01668121742191082, 0.01668121821724057, 0.016681219459333461, 0.016681221310347678, 0.016681223962056752, 0.01668122763591677, 0.016681232583145161, 0.016681239084811648, 0.016681247451942414, 0.016681258025638666, 0.016681271177211267, 0.016681287308333178, 0.016681306851212309, 0.016681330268787445, 0.016681358054950704, 0.016681390734800398, 0.016681428864928918, 0.01668147303375064, 0.016681523861876029, 0.01668158200253831, 0.016681648142080219, 0.016681723000509029, 0.016681807332128921, 0.016681901926260765, 0.016682007608060073, 0.016682125239445327, 0.016682255720149516, 0.016682399988909247, 0.016682559024806694, 0.016682733848781439, 0.016682925525330187, 0.016683135164414407, 0.0166833639235975, 0.016683613010435149, 0.016683883685144601, 0.016684177263581196, 0.016684495120553297, 0.016684838693509698, 0.016685209486637251, 0.01668560907541064, 0.016686039111640408, 0.016686501329071117, 0.016686997549586954, 0.016687529690089388, 0.016688099770119123, 0.016688709920303583, 0.016689362391721689, 0.016690059566289574, 0.016690803968284689, 0.016691598277141756, 0.016692445341672527, 0.016693348195882727, 0.016694310076584694, 0.016695334443033137, 0.016696424998845723, 0.016697585716509727, 0.016698820864823032, 0.016700135039672694, 0.016701533198619105, 0.016703020699831067, 0.016704603346007773, 0.016706287434032893, 0.016708079811235368, 0.016709987939287272, 0.016712019966956031, 0.016714184813154214, 0.016716492262003502, 0.016718953071962462, 0.016721579101473923, 0.016724383454086451, 0.016727380646618595, 0.016730586804694851, 0.016734019890928205, 0.016737699972206227, 0.016741649534024256, 0.016745893851687451, 0.01675046143059206, 0.016755384530851777, 0.016760699795469094, 0.016766449006352682, 0.016772679999142181, 0.016779447776566515, 0.016786815871687674, 0.016794858027936708, 0.016803660283848394, 0.016813323579028452, 0.016823967037315313, 0.016835732138004732, 0.016848788063368588, 0.016863338621094518, 0.016879631299957086, 0.016897969251427634, 0.016918727339502081, 0.01694237393143758, 0.016969500922167514, 0.017000865779450296, 0.017037451486220781, 0.017080553714888917, 0.017131910453119695, 0.017193899629253506, 0.017269849055479743, 0.017364538487975961, 0.017485043761714957, 0.017642219079998512, 0.01785343688635049, 0.018147973419432698, 0.018578419599362885, 0.019247229587787247, 0.020376338575496825, 0.022520796664636401, 0.02737697275700126, 0.041669317530585392, 0.085934237111613632, 0.062621680152107145, 0.03116641700322435, 0.02269311229340985, 0.019724770768978817, 0.018409770785070251, 0.017730744866339011, 0.017341738926293836, 0.017101745247709074, 0.016945298826438592, 0.016838909225587576, 0.01676411192587117, 0.016710103937107534, 0.016617506138368571, 0.016575430320892749, 0.01655479377220577, 0.016544370699191204, 0.016539207210332564, 0.016536898336284127, 0.01653619080805677, 0.016536395262485373, 0.016537116299320288, 0.01653811959582261, 0.016539262706531839, 0.016540457318589327, 0.016541647853100142, 0.016542798932277166, 0.016543887833685631, 0.01654489983880714, 0.016545825307096428, 0.016546657802723571, 0.016547392876269371, 0.016548027260639836, 0.01654855833241016, 0.01654898374494361, 0.01654930117346206, 0.016549508133548729, 0.016549601848479704, 0.016549579150488946, 0.016549436408742704, 0.016549169484239089, 0.01654877372103775, 0.016548243997016883, 0.0165475748806241, 0.016546760981959521, 0.016545797665054505, 0.016544682440636418, 0.016543417665183052, 0.016542015813414176, 0.016540509997049629, 0.016538975658282204, 0.016537577424301998, 0.016536676740510532, 0.016537100166061303, 0.016540885706020702, 0.01655370067846898, 0.016594647627952101, 0.016753774227391598, 0.017918527009272767, 0.049104557629319902, 0.018187579359408498, 0.017127569073270111, 0.016873640902616924, 0.016769899768849131, 0.016715631868020841, 0.01668285936130575, 0.016661118136116145, 0.016645708666425053, 0.016634239566402604, 0.016625378168628972, 0.016618328674004798, 0.016612589398583143, 0.016607829989563207, 0.016603825012059953, 0.016600415993541399, 0.016597488710054297, 0.016594959051615846, 0.016592763925425483, 0.016590855227493029, 0.016589195743743016, 0.016587756298992617, 0.016586513733390776, 0.016585449439950873, 0.016584548290303015, 0.016583797834011125, 0.016583187693904142, 0.016582709104018593, 0.016582354552770167, 0.016582117504787851, 0.016581992182265023, 0.016581973391850191, 0.01658205638674928, 0.016582236756321905, 0.016582510337344147, 0.016582873142494577, 0.016583321302644977, 0.016583851020303964, 0.016584458532140477, 0.016585140078955649, 0.016585891881811313, 0.016586710123286538, 0.01658759093303987, 0.016588530377016984, 0.016589524449772061, 0.01659056906947368, 0.016591660075248101, 0.016592793226578438, 0.016593964204531263, 0.016595168614624428, 0.016596401991183601, 0.016597659803062093, 0.016598937460618683, 0.016600230323864585, 0.016601533711701758, 0.01660284291218285, 0.016604153193727638, 0.016605459817233222, 0.016606758049014313, 0.016608043174508522, 0.016609310512676993, 0.016610555431025967, 0.016611773361168539, 0.016612959814838964, 0.016614110400264379, 0.016615220838791609, 0.016616286981659293, 0.01661730482679849, 0.016618270535539117, 0.016619180449094138, 0.016620031104689518, 0.016620819251205697, 0.016621541864194758, 0.016622196160139303, 0.016622779609820899, 0.016623289950671374, 0.016623725197986567, 0.01662408365489082, 0.016624363920951388, 0.01662456489935369, 0.016624685802562444, 0.016624726156409229, 0.016624699251546422, 0.016624618614974253, 0.016624484480498022, 0.01662429723698396, 0.016624057427151062, 0.016623765745891406, 0.016623423038130435, 0.016623030296241667, 0.016622588657033421, 0.016622099398327483, 0.016621563935152364, 0.016620983815575835, 0.016620360716203202, 0.016619696437369602, 0.016618992898055508, 0.016618252130556076, 0.016617476274934668, 0.016616667573292228, 0.016615828363883069, 0.016614961075107806, 0.016614068219413077, 0.016613152387126698, 0.016612216240255641, 0.016611262506272085, 0.016610293971911209, 0.01660931347700214, 0.016608323908350636, 0.016607328193689822, 0.016606329295711986, 0.016605330206191718, 0.016604333940207102, 0.016603343530462521, 0.016602362021712763, 0.016601392465284928, 0.016600437913690463, 0.01659950141531584, 0.016598586009176894, 0.016597694719717348, 0.016596830551628382, 0.016595996484662107, 0.016595195468407608, 0.016594430416994668, 0.0165937042036861, 0.016593019655316094, 0.016592379546528736, 0.016591786593767165, 0.016591243448961509, 0.016590752692861095, 0.016590316827954848, 0.016589938270922724, 0.016589619344561046, 0.016589362269125746, 0.016589169153039866, 0.016589041982916185, 0.01658898261285122, 0.016588992752956156, 0.016589073957100148, 0.016589227609855973, 0.016589454912654927, 0.016589756869178244, 0.016590134270037166, 0.016590587676822182, 0.016591117405634605, 0.016591723510250442, 0.016592405765107197, 0.016593163648348262, 0.016593996325206035, 0.016594902632053567, 0.016595881061502622, 0.016596929748973057, 0.01659804646120137, 0.016599228587192812, 0.016600473132148911, 0.016601776714916978, 0.016603135569507627, 0.016604545551206801, 0.016606002147767661, 0.016607500496102965, 0.016609035404808101, 0.016610601382729049, 0.0166121926736491, 0.01661380329700524, 0.016615427094364938, 0.016617057781201469, 0.016618689003309307, 0.016620314397008801, 0.016621927652110808, 0.01662352257645722, 0.016625093160732265, 0.016626633642158852, 0.016628138565663107, 0.016629602841110123, 0.01663102179528805, 0.016632391217443757, 0.01663370739734572, 0.016634967155062699, 0.016636167861888183, 0.016637307452101242, 0.016638384425519563, 0.016639397841059694, 0.016640347301760301, 0.016641232931936745, 0.016642055347311783, 0.01664281561910257, 0.0166435152331346, 0.016644156045100493, 0.016644740233085042, 0.016645270248444682, 0.016645748766062448, 0.016646178634906937, 0.016646562829711314, 0.016646904404464043, 0.01664720644827266, 0.01664747204403148, 0.01664770423019906, 0.016647905965875211, 0.016648080099263281, 0.016648229339513914, 0.016648356231872205, 0.016648463135991338, 0.016648552207233148, 0.016648625380747521, 0.016648684358108345, 0.016648730596281015, 0.016648765298705789, 0.016648789408298881, 0.01664880360219894, 0.016648808288118811], [0.015839008379293643, 0.015838974531089102, 0.015838873066259838, 0.015838704223870941, 0.015838468401407017, 0.015838166153345545, 0.01583779818917852, 0.015837365370900251, 0.01583686870998486, 0.015836309363881577, 0.015835688632059634, 0.015835007951639543, 0.01583426889265056, 0.015833473152957529, 0.015832622552903249, 0.015831719029715061, 0.015830764631726158, 0.015829761512463861, 0.015828711924658519, 0.015827618214227304, 0.01582648281428805, 0.015825308239258009, 0.015824097079093366, 0.015822851993723928, 0.015821575707738102, 0.015820271005372338, 0.015818940725858457, 0.015817587759182627, 0.015816215042308207, 0.015814825555915256, 0.015813422321708851, 0.015812008400348455, 0.015810586890050798, 0.015809160925919476, 0.015807733680054829, 0.015806308362498956, 0.015804888223071887, 0.015803476554156294, 0.01580207669448944, 0.015800692034022592, 0.015799326019908955, 0.015797982163681466, 0.015796664049681351, 0.015795375344795727, 0.015794119809558312, 0.015792901310659226, 0.015791723834898019, 0.015790591504595785, 0.01578950859445654, 0.015788479549832313, 0.015787509006297201, 0.015786601810370435, 0.015785763041141966, 0.015784998032442044, 0.015784312395051858, 0.015783712038269983, 0.015783203189920714, 0.015782792413608891, 0.015782486621683474, 0.015782293081964271, 0.015782219415809519, 0.015782273584559778, 0.015782463860797451, 0.015782798780235429, 0.01578328706943611, 0.015783937544030038, 0.015784758971750745, 0.015785759894562861, 0.015786948404609352, 0.015788331869849681, 0.015789916607338694, 0.015791707505332438, 0.015793707599982689, 0.015795917618352712, 0.015798335506711253, 0.015800955971096486, 0.015803770065175193, 0.015806764867238417, 0.015809923292224484, 0.015813224084245802, 0.015816642028705852, 0.015820148409837535, 0.015823711719560259, 0.015827298598532064, 0.01583087496320058, 0.01583440724765222, 0.015837863670566391, 0.015841215429358083, 0.015844437727728637, 0.015847510559139182, 0.015850419194631104, 0.015853154354631666, 0.015855712075845557, 0.01585809331138523, 0.01586030332160587, 0.015862350923165784, 0.015864247664902503, 0.015866006992845304, 0.01586764345547818, 0.015869171986761785, 0.015870607290625598, 0.015871963338258889, 0.015873252979501779, 0.015874487662311795, 0.015875677249559086, 0.015876829919912006, 0.015877952138812098, 0.015879048685988384, 0.015880122727161244, 0.01588117591916291, 0.015882208539379418, 0.015883219632014254, 0.015884207165081231, 0.01588516819320723, 0.015886099022261742, 0.015886995372554821, 0.015887852537899681, 0.015888665538269293, 0.015889429264133774, 0.015890138610887963, 0.015890788602094485, 0.015891374500593723, 0.015891891906868922, 0.01589233684439316, 0.015892705832003147, 0.015892995943618149, 0.015893204855823986, 0.015893330883951652, 0.015893373007286715, 0.015893373002815781, 0.015893373032404869, 0.015893373225159355, 0.015893373796586729, 0.015893375049092873, 0.015893377372674308, 0.015893381245805045, 0.015893387236517439, 0.015893396003678919, 0.015893408298469199, 0.015893424966067445, 0.015893446947564161, 0.015893475282119957, 0.015893511109401359, 0.015893555672333356, 0.015893610320219461, 0.015893676512291399, 0.015893755821764322, 0.015893849940487204, 0.015893960684294141, 0.015894089999179298, 0.015894239968437106, 0.015894412820930497, 0.015894610940673608, 0.015894836877942131, 0.015895093362155738, 0.015895383316812856, 0.015895709876800519, 0.015896076408452271, 0.015896486532787444, 0.015896944152436938, 0.015897453482848576, 0.015898019088471251, 0.015898645924746664, 0.015899339386896957, 0.01590010536669199, 0.015900950318622275, 0.015901881337203848, 0.01590290624751595, 0.015904033711541223, 0.015905273353468981, 0.015906635907869202, 0.01590813339559654, 0.015909779333502128, 0.015911588985601705, 0.015913579665387388, 0.01591577110163634, 0.015918185883581671, 0.015920850005977837, 0.015923793540846904, 0.015927051471152649, 0.015930664733209577, 0.015934681530596243, 0.015939159004636598, 0.015944165378030641, 0.015949782733361582, 0.015956110653790819, 0.015963271049994291, 0.015971414642477526, 0.015980729789946746, 0.015991454699430193, 0.016003894602901286, 0.016018446380006466, 0.016035634603981622, 0.016056165568735126, 0.016081010452798417, 0.016111537278547739, 0.01614972773456284, 0.016198548192400748, 0.016262615649585595, 0.01634946331907277, 0.016472119120148766, 0.016654834856945234, 0.016947314117433554, 0.017465701187940441, 0.018538121624283664, 0.02141453968443997, 0.034034173191026765, 0.074960574135302618, 0.026400506962323218, 0.018825154113296265, 0.017064343195989345, 0.016433415579373632, 0.016148680579027404, 0.016000945239291076, 0.015916889415473444, 0.015865878209896659, 0.015833439477741452, 0.015812087725517857, 0.015797671922708895, 0.015787759685668295, 0.015780860636568146, 0.015776027344022593, 0.015772638692748142, 0.015770276744835346, 0.015768653951154885, 0.015767568652425238, 0.015766877067602231, 0.015766475202969359, 0.015766286900847627, 0.015766255783811717, 0.015766339726141967, 0.015766506997896258, 0.015766733536100648, 0.015767000987960803, 0.015767295290777507, 0.01576760563006693, 0.015767923667522461, 0.015768242963710405, 0.015768558542779851, 0.015768866561747818, 0.015769164057483732, 0.015769448751906053, 0.015769718901129475, 0.015769973178035062, 0.015770210580429822, 0.015770430358923494, 0.015770631960091042, 0.015770814981555702, 0.015770979136423492, 0.015771124225099201, 0.015771250112967282, 0.015771356712769056, 0.015771443970774641, 0.015771511856057612, 0.015771560352345174, 0.015771589452049529, 0.015771599152195188, 0.015771589452049529, 0.015771560352345178, 0.015771511856057612, 0.015771443970774637, 0.015771356712769059, 0.015771250112967289, 0.015771124225099201, 0.015770979136423495, 0.015770814981555692, 0.015770631960091042, 0.015770430358923494, 0.015770210580429829, 0.015769973178035062, 0.015769718901129475, 0.015769448751906053, 0.015769164057483728, 0.015768866561747821, 0.015768558542779851, 0.015768242963710401, 0.015767923667522457, 0.01576760563006693, 0.01576729529077751, 0.015767000987960803, 0.015766733536100648, 0.015766506997896258, 0.015766339726141974, 0.015766255783811717, 0.015766286900847623, 0.015766475202969369, 0.015766877067602221, 0.015767568652425238, 0.015768653951154888, 0.015770276744835349, 0.015772638692748135, 0.0157760273440226, 0.015780860636568143, 0.015787759685668291, 0.015797671922708898, 0.015812087725517864, 0.015833439477741438, 0.015865878209896631, 0.015916889415473447, 0.016000945239291062, 0.016148680579027436, 0.016433415579373375, 0.017064343195988839, 0.018825154113295672, 0.026400506962315849, 0.074960574135311667, 0.034034173191057823, 0.021414539684445302, 0.01853812162428551, 0.017465701187940406, 0.016947314117433641, 0.016654834856945272, 0.016472119120148676, 0.016349463319072735, 0.016262615649585619, 0.016198548192400762, 0.016149727734562878, 0.01611153727854777, 0.016081010452798399, 0.01605616556873514, 0.016035634603981615, 0.016018446380006469, 0.016003894602901282, 0.015991454699430203, 0.015980729789946749, 0.015971414642477526, 0.015963271049994288, 0.015956110653790819, 0.015949782733361586, 0.015944165378030641, 0.015939159004636595, 0.015934681530596243, 0.015930664733209577, 0.015927051471152653, 0.015923793540846908, 0.01592085000597784, 0.015918185883581671, 0.015915771101636344, 0.015913579665387385, 0.015911588985601702, 0.015909779333502128, 0.01590813339559654, 0.015906635907869199, 0.015905273353468977, 0.015904033711541227, 0.015902906247515954, 0.015901881337203848, 0.015900950318622271, 0.01590010536669199, 0.015899339386896957, 0.015898645924746664, 0.015898019088471247, 0.015897453482848576, 0.015896944152436934, 0.015896486532787444, 0.015896076408452274, 0.015895709876800515, 0.01589538331681286, 0.015895093362155742, 0.015894836877942128, 0.015894610940673608, 0.015894412820930501, 0.015894239968437106, 0.015894089999179295, 0.015893960684294137, 0.015893849940487197, 0.015893755821764322, 0.015893676512291396, 0.015893610320219461, 0.015893555672333359, 0.015893511109401352, 0.01589347528211996, 0.015893446947564158, 0.015893424966067441, 0.015893408298469199, 0.015893396003678915, 0.015893387236517439, 0.015893381245805041, 0.015893377372674312, 0.015893375049092873, 0.015893373796586729, 0.015893373225159355, 0.015893373032404866, 0.015893373002815781, 0.015893373007286722, 0.01589337300438912, 0.015893373009246016, 0.015893373062513826, 0.015893373231977655, 0.01589337361258775, 0.015893374326510341, 0.015893375523192678, 0.015893377379441988, 0.015893380099518236, 0.015893383915240682, 0.015893389086108128, 0.015893395899433074, 0.015893404670490371, 0.015893415742680887, 0.015893429487711358, 0.015893446305791856, 0.015893466625852767, 0.015893490905783746, 0.015893519632697514, 0.015893553323222277, 0.015893592523826723, 0.015893637811182852, 0.015893689792572017, 0.015893749106340851, 0.015893816422414192, 0.015893892442873082, 0.015893977902607114, 0.015894073570050543, 0.015894180248013631, 0.015894298774620653, 0.01589443002436787, 0.015894574909315447, 0.015894734380428856, 0.015894909429086276, 0.015895101088770344, 0.015895310436963878, 0.01589553859727115, 0.015895786741788098, 0.015896056093747009, 0.015896347930463857, 0.01589666358661888, 0.015897004457904297, 0.015897372005076526, 0.015897767758454133, 0.015898193322907483, 0.015898650383390965, 0.015899140711074854, 0.01589966617014052, 0.015900228725310484, 0.015900830450193838, 0.015901473536537824, 0.015902160304488239, 0.01590289321397512, 0.015903674877356021, 0.015904508073467553, 0.015905395763257443, 0.015906341107193946, 0.015907347484678789, 0.015908418515723523, 0.015909558085188961, 0.015910770369934119, 0.015912059869275862, 0.015913431439225623, 0.015914890331045914, 0.015916442234761175, 0.015918093328365662, 0.015919850333601267, 0.015921720579333824, 0.015923712073743903, 0.015925833586774383, 0.015928094744551674, 0.015930506137831354, 0.015933079446927279, 0.015935827586084271, 0.01593876487087242, 0.015941907212946235, 0.015945272347464543, 0.015948880099659467, 0.015952752698541836, 0.015956915147627974, 0.015961395664986784, 0.01596622620799739, 0.015971443102192187, 0.015977087798731242, 0.015983207791813923, 0.015989857736238677, 0.015997100817149602, 0.016005010439850798, 0.016013672328989342, 0.016023187155646035, 0.016033673851206322, 0.016045273823136912, 0.016058156367193197, 0.016072525684087138, 0.016088630073149344, 0.016106774117497166, 0.016127335036916036, 0.016150784934815109, 0.016177721518483922, 0.016208911221827008, 0.016245350845976468, 0.016288357464426268, 0.016339702542564359, 0.01640181715646357, 0.01647811516510634, 0.016573519148490368, 0.01669534945929314, 0.016854895218816595, 0.017070339830835016, 0.017372563221425691, 0.017817572020453632, 0.01851582547129358, 0.019710543927048078, 0.022023941406429944, 0.027419874079576433, 0.043967102057111046, 0.09037793181374866, 0.055449794627061511, 0.028663435551571553, 0.021368392281697079, 0.018725233541727174, 0.017526866699433371, 0.016898035882394635, 0.016533481542508211, 0.016306473206714935, 0.01615735715096981, 0.016055286473026838, 0.015983106675276415, 0.015862520301245468, 0.015809005349977874, 0.015782849757635786, 0.015769425829238515, 0.015762474404643251, 0.015759019813211837, 0.015757533200966792, 0.015757181254515036, 0.015757488416313966, 0.015758173288027554, 0.015759064502896849, 0.015760055281252634, 0.015761077854319815, 0.015762088563840457, 0.015763058922591666, 0.015763970114582842, 0.015764809537234241, 0.015765568585880897, 0.015766241210239691, 0.015766822959310062, 0.01576731034007282, 0.015767700380410535, 0.015767990326498376, 0.015768177429970425, 0.015768258796553664, 0.01576823127933507, 0.01576809140894218, 0.015767835361786633, 0.015767458978454937, 0.015766957860647534, 0.015766327602423053, 0.015765564260494865, 0.015764665259933152, 0.01576363110927001, 0.015762468656530717, 0.015761197367826201, 0.015759861761950128, 0.015758556986677712, 0.015757484149066001, 0.015757078192374069, 0.015758330269027485, 0.015763700970635116, 0.01578016481788734, 0.015832151839674145, 0.01604442542941632, 0.017968816367327559, 0.029895282143421447, 0.017026060667330162, 0.016266706588113706, 0.016059341980698284, 0.015970049198294166, 0.015922008594677732, 0.015892490458182518, 0.01587267912335456, 0.015858520456895189, 0.015847916839952684, 0.015839684846844424, 0.015833111113086221, 0.015827742581904555, 0.015823279143213246, 0.015819515004431402, 0.01581630491915649, 0.015813543844218979, 0.015811154209803308, 0.015809077687557765, 0.01580726971281254, 0.015805695746592734, 0.015804328667366439, 0.015803146914585998, 0.015802133143630555, 0.015801273235592252, 0.015800555557749507, 0.015799970404079638, 0.015799509567037743, 0.015799166006381357, 0.015798933590669452, 0.015798806893838283, 0.015798781033983311, 0.015798851544821191, 0.015799014272702357, 0.015799265293782967, 0.015799600847240036, 0.015800017281358755, 0.015800511010029293, 0.01580107847772565, 0.015801716131448228, 0.015802420398426557, 0.015803187668623004, 0.015804014281270172, 0.015804896514824973, 0.015805830579842677, 0.015806812614369357, 0.01580783868152787, 0.015808904769033849, 0.015810006790427652, 0.015811140587847747, 0.015812301936202634, 0.015813486548623502, 0.015814690083099103, 0.015815908150209234, 0.015817136321883911, 0.015818370141122751, 0.015819605132613372, 0.015820836814189828, 0.015822060709071266, 0.015823272358819491, 0.015824467336949994, 0.015825641263126331, 0.015826789817861807, 0.015827908757646031, 0.015828993930406567, 0.015830041291209462, 0.015831046918095067, 0.015832007027939122, 0.015832917992223541, 0.015833776352596172, 0.015834578836095112, 0.015835322369911073, 0.015836004095559821, 0.015836621382338271, 0.015837171839939879, 0.015837653330109655, 0.01583806397722556, 0.015838402177700762, 0.015838666608111833, 0.015838856231968929, 0.01583897030505723, 0.015839008379293643, 0.015838982994298399, 0.015838906913047238, 0.015838780356514405, 0.015838603692227393, 0.01583837743312801, 0.015838102235988975, 0.015837778899396675, 0.015837408361314035, 0.015836991696239693, 0.015836530111982522, 0.015836024946072707, 0.015835477661832562, 0.015834889844132182, 0.015834263194856334, 0.015833599528110247, 0.015832900765192979, 0.015832168929367063, 0.015831406140454089, 0.015830614609285074, 0.015829796632034421, 0.015828954584465506, 0.015828090916114614, 0.015827208144439098, 0.015826308848953412, 0.01582539566537524, 0.015824471279801754, 0.015823538422933478, 0.015822599864360853, 0.015821658406925766, 0.015820716881167499, 0.015819778139859197, 0.015818845052638142, 0.015817920500729138, 0.015817007371757723, 0.015816108554645446, 0.015815226934576366, 0.015814365388020224, 0.015813526777793626, 0.015812713948137214, 0.015811929719782781, 0.015811176884980536, 0.015810458202453203, 0.015809776392239877, 0.015809134130389001, 0.015808534043456966, 0.015807978702765346, 0.015807470618367472, 0.01580701223267289, 0.015806605913676358, 0.015806253947737669, 0.015805958531858219, 0.015805721765401699, 0.015805545641208615, 0.015805432036058598, 0.015805382700440171, 0.015805399247596066, 0.015805483141822386, 0.01580563568601355, 0.015805858008461442, 0.015806151048936713, 0.015806515544104196, 0.015806952012351459, 0.015807460738140822, 0.015808041756030417, 0.015808694834548498, 0.01580941946014721, 0.015810214821506234, 0.015811079794502532, 0.015812012928208094, 0.01581301243232161, 0.015814076166480062, 0.015815201631930093, 0.015816385966063828, 0.015817625940336383, 0.015818917962080264, 0.015820258080711108, 0.015821641998778578, 0.01582306508825226, 0.015824522412344836, 0.015826008753062587, 0.015827518644538643, 0.015829046412048419, 0.015830586216435145, 0.015832132103490965, 0.015833678057653178, 0.015835218059195022, 0.01583674614392324, 0.015838256464252083, 0.015839743350412192, 0.015841201370481728, 0.015842625387902199, 0.015844010615165442, 0.015845352662433421, 0.01584664757997549, 0.01584789189347521, 0.015849082631462053, 0.015850217344353466, 0.015851294114839268, 0.01585231155959009, 0.015853268822514553, 0.015854165560014621, 0.015855001918885472, 0.015855778507669213, 0.01585649636239515, 0.015857156907720712, 0.01585776191452774, 0.015858313455028791, 0.015858813856403853, 0.015859265653922157, 0.015859671544414998, 0.015860034340858489, 0.015860356928707218, 0.01586064222449746, 0.015860893137115632, 0.015861112532011196, 0.015861303198524437, 0.015861467820403003, 0.015861608949497834, 0.015861728982560178, 0.015861830141007408, 0.015861914453485903, 0.015861983741033359, 0.015862039604630195, 0.015862083414927695, 0.015862116303949896, 0.015862139158582544, 0.015862152615687509, 0.015862157058710882], [0.014586693756297456, 0.014586661776264678, 0.014586565911510536, 0.014586406387796768, 0.0145861835804925, 0.014585898013232365, 0.014585550356055649, 0.014585141423043457, 0.014584672169476029, 0.014584143688536753, 0.014583557207592999, 0.014582914084088277, 0.014582215801083516, 0.014581463962488141, 0.014580660288024516, 0.01457980660797183, 0.014578904857737007, 0.014577957072302191, 0.014576965380599348, 0.014575931999863385, 0.014574859230015948, 0.014573749448131817, 0.014572605103040681, 0.014571428710115976, 0.014570222846302855, 0.014568990145436667, 0.014567733293902825, 0.014566455026688685, 0.01456515812387749, 0.014563845407634154, 0.014562519739732787, 0.014561184019675349, 0.014559841183451673, 0.014558494202991192, 0.014557146086357655, 0.014555799878738744, 0.014554458664284151, 0.014553125568846401, 0.014551803763680352, 0.014550496470158304, 0.014549206965558423, 0.014547938589984344, 0.014546694754472981, 0.014545478950344887, 0.014544294759846987, 0.014543145868129348, 0.014542036076585626, 0.014540969317568828, 0.014539949670468356, 0.014538981379099293, 0.014538068870306616, 0.01453721677362323, 0.014536429941736595, 0.014535713471409799, 0.014535072724363258, 0.014534513347446978, 0.014534041291213514, 0.014533662825731142, 0.014533384552149659, 0.014533213408142003, 0.014533156664892393, 0.014533221912789362, 0.014533417032422051, 0.014533750146895306, 0.014534229550916071, 0.014534863611625103, 0.014535660635850638, 0.014536628698471428, 0.014537775427062694, 0.014539107739155137, 0.014540631530482385, 0.014542351315731311, 0.014544269827699137, 0.014546387586435958, 0.014548702456753751, 0.014551209219970881, 0.014553899193148419, 0.014556759935207376, 0.014559775082745767, 0.014562924357542932, 0.014566183781291932, 0.014569526120293609, 0.01457292156395241, 0.014576338617507295, 0.014579745164394826, 0.014583109630807016, 0.01458640216843936, 0.014589595764493372, 0.014592667192498776, 0.014595597733133145, 0.01459837361849896, 0.014600986182256817, 0.014603431726969731, 0.014605711144758334, 0.014607829344913328, 0.014609794551133507, 0.014611617531852274, 0.014613310821219335, 0.014614887977922323, 0.014616362916486497, 0.014617749332988169, 0.014619060235721775, 0.014620307582124846, 0.014621502016504636, 0.0146226526987347, 0.014623767211759049, 0.01462485153499694, 0.01462591007111262, 0.014626945714674336, 0.014627959952636311, 0.014628952988080377, 0.014629923880084782, 0.014630870693848774, 0.014631790656253396, 0.0146326803128809, 0.014633535683175134, 0.014634352410944136, 0.014635125907832738, 0.014635851487771969, 0.014636524490781266, 0.014637140394883986, 0.014637694915306513, 0.014638184090560117, 0.014638604355433819, 0.014638952601323743, 0.014639226224655211, 0.014639423164382711, 0.014639541929652699, 0.01463958161867298, 0.014639581537937636, 0.014639581335184448, 0.01463958112888643, 0.014639581116878908, 0.014639581576925758, 0.014639582867504271, 0.014639585428802069, 0.014639589783919167, 0.014639596540269674, 0.014639606391179505, 0.014639620117680725, 0.014639638590508052, 0.014639662772309959, 0.014639693720094889, 0.01463973258794252, 0.014639780630020822, 0.01463983920396141, 0.014639909774658925, 0.014639993918574014, 0.014640093328634954, 0.014640209819849368, 0.01464034533575523, 0.014640501955860273, 0.014640681904240395, 0.014640887559492225, 0.014641121466262758, 0.014641386348611118, 0.014641685125494954, 0.014642020928717987, 0.014642397123728343, 0.014642817333719891, 0.014643285467565373, 0.014643805752202685, 0.014644382770208061, 0.014645021503428382, 0.014645727383714027, 0.014646506352003241, 0.014647364927267984, 0.014648310287153781, 0.014649350362548792, 0.014650493948823479, 0.014651750837120335, 0.014653131969883621, 0.014654649625853096, 0.014656317641074239, 0.014658151674195218, 0.014660169526557694, 0.014662391530523443, 0.01466484102336015, 0.014667544929186318, 0.014670534478442288, 0.014673846103820394, 0.014677522564581883, 0.014681614369222145, 0.014686181591767541, 0.014691296212992516, 0.014697045169737917, 0.014703534371401671, 0.014710894055426279, 0.014719286024032895, 0.014728913566916217, 0.014740035287198741, 0.014752984711299178, 0.014768198656832076, 0.014786259185703346, 0.01480795720860012, 0.014834391669562125, 0.014867129278255601, 0.014908471506817532, 0.014961920725627229, 0.015033037053547907, 0.015131114320075042, 0.01527271818825472, 0.015489910168509907, 0.015851918894753885, 0.016532898752194814, 0.018083493301194867, 0.023041814350980166, 0.052101509413220545, 0.043790944539604741, 0.02026757398991821, 0.016555572071933707, 0.01547542835213017, 0.01504015757691035, 0.01482940281008671, 0.014714802751430381, 0.014647365428759983, 0.014605377452112302, 0.014578126383929049, 0.014559883235351779, 0.014547385412106878, 0.014538679061427693, 0.014532545000957596, 0.014528196055075894, 0.014525109159975597, 0.014522928147236257, 0.01452140535081353, 0.014520365404282167, 0.014519682166507616, 0.014519263652821289, 0.01451904197987812, 0.014518966525918078, 0.014518999197431243, 0.014519111102358439, 0.01451928017887287, 0.014519489483641838, 0.014519725941778939, 0.014519979424276358, 0.01452024206052788, 0.014520507721494103, 0.014520771627999213, 0.0145210300516563, 0.014521280084963752, 0.014521519463478188, 0.014521746427493482, 0.014521959613904864, 0.014522157971292875, 0.014522340692985438, 0.014522507164128029, 0.014522656919737646, 0.014522789611426234, 0.014522904981015146, 0.014523002839672059, 0.014523083051516339, 0.014523145520884049, 0.014523190182637731, 0.014523216995060791, 0.014523225935004182, 0.014523216995060791, 0.014523190182637733, 0.014523145520884049, 0.014523083051516341, 0.014523002839672065, 0.014522904981015146, 0.014522789611426241, 0.014522656919737649, 0.014522507164128021, 0.014522340692985438, 0.014522157971292872, 0.014521959613904872, 0.01452174642749348, 0.014521519463478186, 0.014521280084963749, 0.014521030051656296, 0.014520771627999217, 0.014520507721494106, 0.014520242060527879, 0.014519979424276358, 0.014519725941778942, 0.014519489483641844, 0.014519280178872874, 0.014519111102358435, 0.014518999197431239, 0.014518966525918081, 0.014519041979878123, 0.014519263652821289, 0.014519682166507619, 0.01452036540428216, 0.014521405350813532, 0.014522928147236255, 0.014525109159975595, 0.014528196055075894, 0.014532545000957598, 0.014538679061427688, 0.014547385412106878, 0.014559883235351779, 0.014578126383929045, 0.014605377452112281, 0.014647365428759943, 0.014714802751430382, 0.014829402810086689, 0.015040157576910407, 0.015475428352129726, 0.016555572071932732, 0.020267573989916653, 0.043790944539577471, 0.052101509413209124, 0.023041814350990623, 0.018083493301197573, 0.016532898752195858, 0.015851918894753861, 0.015489910168509985, 0.015272718188254741, 0.015131114320074964, 0.015033037053547875, 0.014961920725627246, 0.014908471506817546, 0.014867129278255632, 0.014834391669562148, 0.014807957208600115, 0.014786259185703357, 0.014768198656832069, 0.01475298471129918, 0.014740035287198739, 0.014728913566916222, 0.014719286024032899, 0.014710894055426285, 0.014703534371401662, 0.014697045169737919, 0.014691296212992519, 0.014686181591767541, 0.01468161436922214, 0.014677522564581881, 0.014673846103820396, 0.014670534478442293, 0.014667544929186319, 0.014664841023360147, 0.014662391530523447, 0.014660169526557692, 0.014658151674195213, 0.014656317641074237, 0.014654649625853094, 0.014653131969883623, 0.014651750837120333, 0.014650493948823477, 0.014649350362548792, 0.014648310287153783, 0.014647364927267988, 0.014646506352003244, 0.014645727383714027, 0.014645021503428383, 0.014644382770208061, 0.014643805752202681, 0.014643285467565374, 0.014642817333719894, 0.014642397123728347, 0.014642020928717988, 0.014641685125494953, 0.014641386348611122, 0.014641121466262756, 0.014640887559492227, 0.014640681904240394, 0.014640501955860273, 0.01464034533575523, 0.014640209819849358, 0.014640093328634952, 0.014639993918574011, 0.014639909774658925, 0.01463983920396141, 0.014639780630020825, 0.014639732587942517, 0.014639693720094885, 0.01463966277230996, 0.01463963859050805, 0.014639620117680725, 0.014639606391179505, 0.014639596540269674, 0.014639589783919167, 0.014639585428802067, 0.014639582867504271, 0.014639581576925754, 0.014639581116878908, 0.014639581128886423, 0.014639581335184447, 0.014639581537937632, 0.014639581618672985, 0.014639581577702293, 0.014639581467274145, 0.014639581324850237, 0.014639581212899806, 0.01463958121894891, 0.014639581455648762, 0.014639582060862662, 0.01463958319777069, 0.01463958505499148, 0.014639587846720403, 0.014639591812883325, 0.014639597219305432, 0.014639604357894687, 0.014639613546839771, 0.014639625130822601, 0.01463963948124597, 0.014639656996477273, 0.014639678102109817, 0.014639703251243634, 0.014639732924788672, 0.0146397676317933, 0.014639807909802618, 0.014639854325250971, 0.014639907473894383, 0.014639967981289368, 0.014640036503325116, 0.014640113726817516, 0.014640200370173663, 0.014640297184137145, 0.014640404952624919, 0.014640524493667713, 0.014640656660467164, 0.014640802342583791, 0.014640962467271274, 0.014641138000973695, 0.014641329951004027, 0.014641539367423446, 0.014641767345142925, 0.014642015026270428, 0.014642283602729124, 0.014642574319174467, 0.014642888476240503, 0.014643227434149132, 0.014643592616719096, 0.014643985515815798, 0.01464440769628712, 0.014644860801435924, 0.014645346559085563, 0.014645866788301468, 0.014646423406839684, 0.014647018439402122, 0.014647654026788444, 0.014648332436046489, 0.014649056071736612, 0.014649827488441293, 0.014650649404669678, 0.014651524718327882, 0.014652456523950976, 0.014653448131921203, 0.01465450308993098, 0.014655625206988982, 0.014656818580313893, 0.014658087625515667, 0.014659437110528643, 0.014660872193837899, 0.01466239846763126, 0.014664022006618406, 0.014665749423388186, 0.014667587931331671, 0.014669545416345936, 0.014671630518760881, 0.014673852727206504, 0.0146762224864736, 0.014678751321830759, 0.014681451982764555, 0.014684338609731057, 0.014687426928277372, 0.014690734475851851, 0.014694280867823187, 0.014698088110742103, 0.014702180972795027, 0.014706587423839521, 0.014711339160538919, 0.014716472236148786, 0.014722027819750348, 0.014728053116586067, 0.014734602490201037, 0.014741738839124212, 0.014749535296960728, 0.014758077346611069, 0.014767465469196489, 0.014777818489525221, 0.014789277837568759, 0.014802013026904991, 0.014816228767791042, 0.014832174302008668, 0.014850155796455079, 0.014870553006750862, 0.014893841992890074, 0.014920626556184226, 0.014951682475301079, 0.014988020907855558, 0.015030981139268904, 0.01508236940468095, 0.015144672098026855, 0.015221392953591286, 0.015317604454990537, 0.015440885202267716, 0.015602987254820556, 0.015822965579479379, 0.016133444261007986, 0.016594200424145333, 0.017324698728098938, 0.018592707188488208, 0.021100565350743523, 0.027146409660624531, 0.046535178471538569, 0.092619304261647023, 0.048358941476876811, 0.02585144980330328, 0.019594249675190214, 0.0172525497719003, 0.016167239598338018, 0.015588989102789361, 0.01524999296751409, 0.015037072224091865, 0.014896234095193655, 0.014799266615617746, 0.014642671048248127, 0.014575555580828773, 0.014543237091817457, 0.014526640503415544, 0.01451789105153138, 0.014513336869838857, 0.014511134485870179, 0.01451029160007522, 0.014510246789395082, 0.014510669664188056, 0.014511359584600063, 0.014512191577691824, 0.014513086178327512, 0.014513991985997845, 0.014514875258510817, 0.014515713536694249, 0.014516491648084421, 0.014517199151341118, 0.014517828672930371, 0.014518374807231737, 0.014518833378466968, 0.014519200938490767, 0.014519474420607118, 0.014519650898512385, 0.014519727418367483, 0.014519700885239673, 0.014519567995691603, 0.014519325218563913, 0.01451896883865024, 0.014518495096797058, 0.01451790049145555, 0.014517182363026709, 0.014516339987620346, 0.014515376611264164, 0.014514303268147132, 0.014513146095852348, 0.01451196078692429, 0.014510862346540105, 0.01451008977302423, 0.014510156863238078, 0.014512237697968021, 0.01451928181238625, 0.014539853461255128, 0.01460533578341845, 0.014891887706641932, 0.018377064793262645, 0.02145156024482122, 0.015517861717932954, 0.014954586348198054, 0.014783084794694163, 0.014705674428387393, 0.014662925877096819, 0.014636223831347415, 0.014618099918598472, 0.014605041462137574, 0.014595201641643397, 0.014587525994241476, 0.014581373001184563, 0.014576332247164292, 0.014572130259267926, 0.014568578600303663, 0.014565543736512192, 0.014562928767877008, 0.01456066193196163, 0.014558689134194468, 0.014556968956565117, 0.014555469239171922, 0.014554164687242471, 0.014553035163020089, 0.014552064445022196, 0.014551239312529322, 0.014550548860441374, 0.014549983979973941, 0.014549536960531659, 0.014549201181347794, 0.014548970870471368, 0.01454884091488161, 0.014548806709844517, 0.014548864038699639, 0.014549008976471477, 0.014549237812302706, 0.014549546986884222, 0.014549933041931256, 0.014550392579410982, 0.014550922228723505, 0.014551518620418103, 0.014552178365319397, 0.014552898038165571, 0.014553674165039622, 0.014554503214014995, 0.014555381588549157, 0.014556305623247764, 0.014557271581693877, 0.014558275656094011, 0.014559313968539399, 0.014560382573717806, 0.01456147746294102, 0.014562594569376681, 0.014563729774391267, 0.014564878914925175, 0.01456603779183081, 0.014567202179111644, 0.014568367834004394, 0.014569530507848351, 0.014570685957685424, 0.01457182995853276, 0.014572958316266361, 0.014574066881049319, 0.014575151561233108, 0.01457620833765421, 0.014577233278241517, 0.014578222552843967, 0.01457917244818098, 0.014580079382812184, 0.014580939922017819, 0.014581750792476304, 0.014582508896622135, 0.014583211326565246, 0.014583855377451608, 0.01458443856014642, 0.014584958613123065, 0.014585413513445585, 0.014585801486738258, 0.014586121016043375, 0.014586370849478062, 0.01458655000661138, 0.014586657783495365, 0.014586693756297456, 0.014586669772377839, 0.014586597890385231, 0.014586478319402543, 0.014586311407183956, 0.014586097639083865, 0.014585837636567898, 0.014585532155315949, 0.014585182082930132, 0.014584788436263089, 0.014584352358384265, 0.014583875115204144, 0.014583358091778166, 0.01458280278831376, 0.014582210815905362, 0.014581583892023185, 0.014580923835782699, 0.014580232563021695, 0.014579512081212656, 0.014578764484237493, 0.014577991947051613, 0.014577196720263447, 0.014576381124654637, 0.014575547545664772, 0.014574698427863063, 0.014573836269427421, 0.014572963616649819, 0.014572083058483967, 0.014571197221149475, 0.01457030876280368, 0.014569420368289839, 0.014568534743967129, 0.014567654612625252, 0.014566782708482742, 0.014565921772265376, 0.014565074546357226, 0.01456424377001353, 0.01456343217462144, 0.014562642478990534, 0.014561877384651888, 0.014561139571140684, 0.014560431691233822, 0.014559756366110652, 0.01455911618040113, 0.014558513677083017, 0.014557951352186188, 0.014557431649259557, 0.014556956953553664, 0.014556529585869926, 0.014556151796026224, 0.014555825755887784, 0.014555553551912447, 0.014555337177160904, 0.014555178522724723, 0.01455507936852956, 0.014555041373476244, 0.014555066064891162, 0.014555154827267004, 0.014555308890288551, 0.014555529316153922, 0.014555816986221146, 0.014556172587032505, 0.014556596595795885, 0.014557089265431986, 0.01455765060933047, 0.014558280385994878, 0.014558978083796343, 0.014559742906098261, 0.014560573757057315, 0.014561469228449593, 0.014562427587911595, 0.014563446769023273, 0.014564524363691364, 0.01456565761731324, 0.014566843427211878, 0.014568078344828362, 0.014569358582136467, 0.014570680022702648, 0.014572038237751434, 0.014573428507510497, 0.014574845848000579, 0.014576285043305616, 0.01457774068320862, 0.014579207205915112, 0.014580678945412581, 0.01458215018283879, 0.014583615201062437, 0.01458506834152392, 0.014586504062252247, 0.014587916995873159, 0.014589302006361269, 0.01459065424327049, 0.014591969192205805, 0.014593242720375255, 0.014594471116182933, 0.014595651121985668, 0.014596779959331879, 0.014597855346220504, 0.014598875506151713, 0.014599839168976947, 0.01460074556378373, 0.014601594404260709, 0.014602385867171139, 0.014603120564713192, 0.014603799511657849, 0.014604424088228384, 0.014604995999719209, 0.014605517233849129, 0.014605990016807988, 0.014606416768891833, 0.01460680006053581, 0.01460714256945196, 0.014607447039467349, 0.014607716241542099, 0.014607952937331616, 0.014608159845547588, 0.014608339611271035, 0.014608494778280232, 0.01460862776437908, 0.014608740839647572, 0.0146088361074858, 0.014608915488287097, 0.014608980705551835, 0.014609033274242423, 0.014609074491178528, 0.0146091054272806, 0.01460912692148595, 0.014609139576184753, 0.01460914375405213], [0.013589656994439602, 0.013589626686409235, 0.013589535833683834, 0.013589384650104695, 0.013589173491223669, 0.013588902853035901, 0.013588573370222626, 0.013588185813919896, 0.013587741089034435, 0.013587240231131502, 0.013586684402923471, 0.013586074890391816, 0.013585413098578135, 0.013584700547082896, 0.013583938865313176, 0.013583129787522918, 0.013582275147691001, 0.013581376874283879, 0.013580436984950896, 0.013579457581200832, 0.013578440843109347, 0.013577389024106417, 0.013576304445893941, 0.013575189493542583, 0.013574046610817264, 0.013572878295780164, 0.013571687096719534, 0.013570475608452544, 0.013569246469049686, 0.013568002357028177, 0.013566745989061825, 0.013565480118254401, 0.013564207533024375, 0.013562931056648953, 0.013561653547516258, 0.013560377900135043, 0.013559107046952911, 0.013557843961034689, 0.013556591659653883, 0.013555353208851345, 0.013554131729015527, 0.013552930401538923, 0.013551752476604135, 0.013550601282150158, 0.013549480234064893, 0.013548392847641477, 0.013547342750324289, 0.013546333695752182, 0.013545369579081737, 0.013544454453538472, 0.013543592548097085, 0.013542788286129512, 0.013542046304777802, 0.013541371474703433, 0.013540768919729503, 0.0135402440357226, 0.013539802507849572, 0.013539450325085274, 0.013539193790534518, 0.01353903952576082, 0.013538994466885241, 0.013539065849734681, 0.013539261180793372, 0.013539588190168704, 0.013540054762264594, 0.013540668839426295, 0.013541438293571722, 0.013542370760878518, 0.013543473435110694, 0.013544752816327773, 0.013546214413723051, 0.013547862404374236, 0.013549699253892199, 0.013551725310339593, 0.013553938389190496, 0.013556333374076669, 0.013558901864857816, 0.013561631910068065, 0.013564507863677645, 0.013567510404936835, 0.013570616753627064, 0.013573801100711984, 0.01357703525650308, 0.013580289496573068, 0.013583533562498851, 0.013586737753654056, 0.013589874031417839, 0.013592917051345096, 0.013595845043592278, 0.013598640476803377, 0.013601290463396157, 0.013603786891017263, 0.013606126291599036, 0.01360830948210795, 0.013610341027041527, 0.013612228580845261, 0.013613982168998057, 0.013615613460983046, 0.01361713507874826, 0.013618559972689268, 0.01361990088548686, 0.013621169913637852, 0.013622378168003907, 0.013623535528458219, 0.013624650483650393, 0.013625730044725752, 0.013626779721106871, 0.013627803546741812, 0.013628804146154291, 0.013629782830883215, 0.013630739718238524, 0.013631673865575048, 0.013632583414407299, 0.013633465739622055, 0.013634317599795363, 0.013635135285215004, 0.013635914760692248, 0.013636651800665674, 0.013637342114500395, 0.013637981460303894, 0.013638565746036222, 0.013639091117192264, 0.01363955403086272, 0.013639951316509483, 0.013640280224277178, 0.013640538462059537, 0.013640724222801307, 0.013640836203610136, 0.013640873618161535, 0.013640873489188389, 0.013640873138239949, 0.013640872673361646, 0.013640872275068291, 0.013640872196995477, 0.013640872766797991, 0.01364087438728275, 0.013640877537762894, 0.013640882775619183, 0.013640890738056639, 0.013640902144047387, 0.01364091779645569, 0.013640938584347504, 0.013640965485495237, 0.013640999569097615, 0.013641041998745957, 0.013641094035679594, 0.013641157042386942, 0.013641232486622372, 0.013641321945924344, 0.01364142711273628, 0.013641549800248672, 0.013641691949099663, 0.013641855635091273, 0.013642043078100977, 0.013642256652393226, 0.013642498898564372, 0.013642772537387418, 0.013643080485862007, 0.013643425875821296, 0.013643812075502306, 0.013644242714553004, 0.013644721713029863, 0.01364525331503757, 0.013645842127782609, 0.013646493166959272, 0.013647211909568068, 0.013648004355490434, 0.013648877099421775, 0.013649837415111735, 0.013650893354294888, 0.013652053863241902, 0.013653328920552689, 0.01365472970069361, 0.01365626876890739, 0.013657960314576013, 0.013659820432000286, 0.013661867460019704, 0.01366412239513648, 0.01366660939710782, 0.013669356411729989, 0.013672395943321, 0.013675766020033375, 0.013679511409782706, 0.013683685165021425, 0.013688350603451284, 0.013693583873054957, 0.013699477309713494, 0.013706143883863927, 0.013713723164660369, 0.013722389431261322, 0.013732362873427556, 0.013743925319757443, 0.013757442738193987, 0.013773398098424559, 0.01379244049547176, 0.013815460531378648, 0.013843709493916608, 0.013878994347196956, 0.013924009706043109, 0.013982930080818698, 0.014062527054874971, 0.014174424388317695, 0.014340049745840282, 0.014602742103326505, 0.015061896236534518, 0.015990507592034593, 0.018381383012224486, 0.028080128690837345, 0.075776215633182528, 0.026566861297657618, 0.016998049108233687, 0.014955980973362067, 0.014252847370559714, 0.013941863258060665, 0.013782192494549135, 0.013691781789362976, 0.013636965534317242, 0.013602034732699157, 0.013578933634140103, 0.013563221802848266, 0.013552308066530429, 0.013544609081722569, 0.013539119915226704, 0.013535182172491682, 0.013532352745600686, 0.013530326482027698, 0.013528889027585787, 0.013527887197737122, 0.013527209868311388, 0.013526775362730045, 0.013526522954428643, 0.013526407035735504, 0.013526393049950708, 0.013526454610909754, 0.013526571435690181, 0.013526727842606202, 0.013526911647647803, 0.013527113345340484, 0.013527325495007899, 0.013527542256972409, 0.013527759039296981, 0.013527972226777124, 0.013528178971658995, 0.013528377031053463, 0.013528564639943199, 0.013528740411513971, 0.013528903258606744, 0.013529052331604965, 0.013529186969196912, 0.013529306659294337, 0.013529411008022777, 0.013529499715181669, 0.013529572554942741, 0.013529629360842944, 0.013529670014354848, 0.013529694436498783, 0.0135297025821099, 0.013529694436498783, 0.013529670014354846, 0.013529629360842942, 0.013529572554942739, 0.013529499715181669, 0.01352941100802278, 0.013529306659294343, 0.013529186969196916, 0.013529052331604962, 0.013528903258606749, 0.013528740411513973, 0.013528564639943204, 0.013528377031053463, 0.013528178971658998, 0.013527972226777124, 0.013527759039296976, 0.013527542256972416, 0.013527325495007899, 0.013527113345340479, 0.013526911647647801, 0.013526727842606208, 0.013526571435690185, 0.013526454610909755, 0.013526393049950706, 0.013526407035735502, 0.013526522954428648, 0.013526775362730042, 0.013527209868311385, 0.013527887197737126, 0.013528889027585783, 0.013530326482027703, 0.013532352745600679, 0.013535182172491684, 0.013539119915226702, 0.013544609081722571, 0.013552308066530421, 0.013563221802848264, 0.013578933634140106, 0.013602034732699159, 0.013636965534317211, 0.013691781789362924, 0.013782192494549129, 0.013941863258060645, 0.014252847370559808, 0.014955980973361373, 0.016998049108231422, 0.026566861297653146, 0.07577621563318522, 0.028080128690833837, 0.018381383012228966, 0.015990507592036081, 0.015061896236535201, 0.014602742103326485, 0.014340049745840331, 0.014174424388317714, 0.014062527054874917, 0.013982930080818669, 0.013924009706043124, 0.013878994347196973, 0.013843709493916638, 0.013815460531378667, 0.013792440495471747, 0.013773398098424566, 0.013757442738193982, 0.013743925319757449, 0.013732362873427554, 0.01372238943126133, 0.013713723164660369, 0.013706143883863932, 0.013699477309713489, 0.013693583873054957, 0.013688350603451284, 0.013683685165021425, 0.013679511409782703, 0.01367576602003337, 0.013672395943321007, 0.013669356411729989, 0.013666609397107825, 0.013664122395136478, 0.013661867460019706, 0.013659820432000286, 0.013657960314576013, 0.013656268768907387, 0.01365472970069361, 0.013653328920552691, 0.013652053863241902, 0.013650893354294886, 0.013649837415111735, 0.01364887709942178, 0.013648004355490434, 0.01364721190956807, 0.013646493166959268, 0.013645842127782611, 0.013645253315037567, 0.013644721713029859, 0.013644242714553003, 0.013643812075502307, 0.013643425875821298, 0.013643080485862009, 0.013642772537387417, 0.013642498898564372, 0.013642256652393225, 0.013642043078100977, 0.013641855635091274, 0.013641691949099661, 0.013641549800248672, 0.013641427112736276, 0.013641321945924342, 0.013641232486622369, 0.013641157042386942, 0.013641094035679592, 0.013641041998745959, 0.013640999569097614, 0.013640965485495229, 0.013640938584347504, 0.013640917796455685, 0.013640902144047388, 0.013640890738056639, 0.013640882775619182, 0.013640877537762892, 0.01364087438728275, 0.013640872766797991, 0.013640872196995479, 0.013640872275068288, 0.013640872673361646, 0.013640873138239947, 0.013640873489188384, 0.013640873618161541, 0.013640873553130962, 0.01364087336948956, 0.013640873101601303, 0.013640872806782414, 0.013640872565365246, 0.01364087248078669, 0.013640872679700062, 0.013640873312109341, 0.013640874551524259, 0.013640876595135009, 0.013640879664004844, 0.01364088400327927, 0.013640889882410492, 0.013640897595396041, 0.013640907461030629, 0.013640919823170955, 0.013640935051013282, 0.013640953539384422, 0.013640975709047059, 0.013641002007021289, 0.013641032906924529, 0.013641068909333266, 0.013641110542170222, 0.013641158361121952, 0.013641212950092288, 0.013641274921698067, 0.01364134491781468, 0.01364142361017936, 0.013641511701061744, 0.013641609924011604, 0.013641719044695017, 0.013641839861831024, 0.013641973208242144, 0.013642119952032902, 0.01364228099791206, 0.013642457288675297, 0.013642649806866514, 0.01364285957663753, 0.013643087665827442, 0.01364333518828501, 0.013643603306459289, 0.013643893234286043, 0.01364420624040044, 0.013644543651709019, 0.013644906857357792, 0.013645297313136844, 0.013645716546366484, 0.013646166161314983, 0.013646647845203716, 0.013647163374862265, 0.013647714624103724, 0.013648303571899259, 0.013648932311441221, 0.013649603060195836, 0.013650318171060157, 0.013651080144753741, 0.01365189164359369, 0.013652755506823204, 0.013653674767688239, 0.013654652672486049, 0.013655692701843008, 0.01365679859451883, 0.013657974374080895, 0.013659224378847168, 0.013660553295561312, 0.013661966197340163, 0.013663468586525529, 0.013665066443180815, 0.013666766280103822, 0.013668575205383199, 0.013670500993714826, 0.013672552167922354, 0.013674738092402794, 0.013677069080555358, 0.013679556518664458, 0.013682213009215032, 0.013685052537244622, 0.01368809066411367, 0.013691344754044108, 0.013694834239990258, 0.013698580936935816, 0.013702609412648899, 0.013706947428398661, 0.013711626465307313, 0.013716682356105884, 0.013722156047386927, 0.013728094524424004, 0.01373455193983897, 0.01374159099966199, 0.013749284676799462, 0.013757718344252684, 0.013766992450997773, 0.013777225905732441, 0.013788560392880371, 0.013801165929073135, 0.01381524808861922, 0.013831057501511507, 0.013848902486126536, 0.0138691660671368, 0.0138923292229075, 0.013919003132242206, 0.01394997466437232, 0.013986271759332453, 0.014029259367324128, 0.014080783542519076, 0.014143393610907114, 0.014220695074533291, 0.014317929662437548, 0.014442967196023088, 0.014608082089343659, 0.014833315251023757, 0.015153273482719939, 0.015632053852819325, 0.016399561577192356, 0.017752528818243289, 0.020490331408978199, 0.027330849476890753, 0.050243164076263634, 0.091615992587598546, 0.042197858925488399, 0.023497823088338331, 0.018129672167085099, 0.016053942749996601, 0.015070656427194965, 0.014538764716384184, 0.01422345135505119, 0.01402368909346207, 0.013890629621144472, 0.013684435862626503, 0.013599792892871554, 0.013559867377488365, 0.013539473267454848, 0.013528621759318047, 0.013522806408998327, 0.013519796328694871, 0.013518407349891414, 0.013517976074068532, 0.013518114683644595, 0.013518588593677498, 0.013519251924618005, 0.01352001187301168, 0.013520808266137697, 0.013521601439983148, 0.013522364848149164, 0.013523080445150146, 0.013523735741434494, 0.013524321889782826, 0.013524832421304738, 0.013525262398122255, 0.013525607837860644, 0.013525865318511613, 0.013526031705654827, 0.013526103965807078, 0.013526079044914227, 0.013525953803140043, 0.013525725008938819, 0.013525389409962837, 0.013524943919991223, 0.013524385997185889, 0.013523714353516245, 0.013522930255914632, 0.013522039914574097, 0.013521058929379435, 0.013520020772665137, 0.013518993533541695, 0.013518114481312219, 0.013517665637556421, 0.01351825174270669, 0.013521262155767027, 0.013530237900024536, 0.013555745956722137, 0.013638535651576604, 0.01403419539667322, 0.021296783166471021, 0.017543981417770728, 0.014337838941112116, 0.01390845540756076, 0.01376517947022033, 0.013697732926971934, 0.013659584087334063, 0.01363538677549375, 0.01361878799292225, 0.013606735785969812, 0.013597600975940821, 0.013590442679263525, 0.013584683384270152, 0.013579951015216064, 0.013575996229194955, 0.013572646409007162, 0.013569778753499923, 0.013567303857955352, 0.013565155326028734, 0.013563282988461543, 0.013561648353341805, 0.013560221478936135, 0.013558978777699605, 0.013557901444370158, 0.013556974311299475, 0.013556185001929707, 0.013555523295996054, 0.013554980647506659, 0.013554549814594405, 0.013554224572405462, 0.013553999488400241, 0.01355386974511538, 0.013553830999411274, 0.013553879270053647, 0.013554010847509183, 0.013554222221312992, 0.013554510021453636, 0.013554870971030265, 0.013555301848043972, 0.013555799454646366, 0.013556360592520834, 0.013556982043344693, 0.013557660553491804, 0.01355839282230227, 0.01355917549337657, 0.013560005148456414, 0.013560878303537967, 0.013561791406930134, 0.013562740839024456, 0.01356372291358689, 0.013564733880416124, 0.013565769929241477, 0.013566827194755304, 0.013567901762691799, 0.013568989676877703, 0.013570086947189447, 0.013571189558358183, 0.013572293479567909, 0.013573394674793788, 0.013574489113827182, 0.013575572783932628, 0.013576641702078191, 0.013577691927676782, 0.013578719575770622, 0.01357972083058542, 0.013580691959374547, 0.013581629326467533, 0.013582529407431002, 0.013583388803244388, 0.013584204254387775, 0.013584972654734982, 0.013585691065141441, 0.013586356726614969, 0.013586967072955839, 0.013587519742754432, 0.013588012590636229, 0.013588443697648285, 0.013588811380686966, 0.013589114200873571, 0.013589350970793964, 0.013589520760527812, 0.013589622902404983, 0.013589656994439602, 0.013589634264472206, 0.013589566140757414, 0.013589452821653679, 0.013589294637081145, 0.013589092047510441, 0.013588845642556868, 0.013588556139189294, 0.013588224379566024, 0.013587851328512052, 0.013587438070654375, 0.013586985807234138, 0.013586495852616081, 0.013585969630517381, 0.013585408669979213, 0.013584814601105378, 0.013584189150593385, 0.013583534137083115, 0.013582851466349409, 0.013582143126363796, 0.013581411182250907, 0.013580657771164042, 0.013579885097103537, 0.013579095425700594, 0.01357829107898725, 0.013577474430172005, 0.013576647898438578, 0.01357581394378286, 0.013574975061901305, 0.013574133779141032, 0.013573292647519794, 0.013572454239820647, 0.013571621144763747, 0.013570795962254186, 0.013569981298702218, 0.01356917976240846, 0.013568393959003659, 0.013567626486929333, 0.013566879932942076, 0.013566156867620789, 0.013565459840853162, 0.013564791377273726, 0.013564153971623095, 0.013563550083994295, 0.01356298213492925, 0.013562452500325669, 0.013561963506111689, 0.013561517422643655, 0.013561116458780356, 0.013560762755585983, 0.013560458379613361, 0.013560205315719377, 0.013560005459365948, 0.013559860608362322, 0.013559772454008859, 0.013559742571607934, 0.013559772410315831, 0.013559863282319349, 0.013560016351333666, 0.013560232620433691, 0.013560512919249664, 0.013560857890579838, 0.013561267976498681, 0.013561743404067864, 0.013562284170789696, 0.013562890029978394, 0.01356356047626258, 0.013564294731472682, 0.013565091731208033, 0.013565950112419173, 0.013566868202379765, 0.013567844009457116, 0.013568875216118938, 0.013569959174633812, 0.013571092905930919, 0.013572273102079022, 0.013573496132821874, 0.013574758056565732, 0.013576054636152336, 0.013577381359666945, 0.013578733466425191, 0.013580105978157311, 0.013581493735264759, 0.013582891437867549, 0.01358429369119607, 0.013585695054715114, 0.013587090094208269, 0.013588473435905751, 0.013589839821616694, 0.013591184163735172, 0.013592501598934364, 0.013593787539350874, 0.013595037720092818, 0.013596248241982151, 0.013597415608561222, 0.013598536756550459, 0.013599609079132033, 0.013600630441643793, 0.013601599189489546, 0.01360251414829438, 0.013603374616548014, 0.013604180351175273, 0.01360493154664285, 0.013605628808350036, 0.013606273121153773, 0.013606865813943908, 0.013607408521213334, 0.013607903142561618, 0.013608351801034528, 0.01360875680113908, 0.013609120587291345, 0.013609445703356645, 0.013609734753836094, 0.013609990367143528, 0.013610215161308909, 0.013610411712340807, 0.013610582525385984, 0.013610730008739618, 0.013610856450687589, 0.013610963999103037, 0.013611054643672857, 0.013611130200596627, 0.013611192299578691, 0.01361124237292413, 0.013611281646548469, 0.013611311132719919, 0.013611331624368169, 0.013611343690816145, 0.013611347674817826], [0.013641108815191347, 0.013641080308778041, 0.013640994856841398, 0.013640852661049476, 0.013640654056712026, 0.013640399511582843, 0.013640089624198973, 0.013639725121772044, 0.013639306857651613, 0.013638835808384259, 0.013638313070395418, 0.013637739856325092, 0.013637117491051048, 0.013636447407436225, 0.01363573114183929, 0.013634970329429686, 0.013634166699349916, 0.013633322069769346, 0.013632438342875027, 0.013631517499845482, 0.013630561595854317, 0.013629572755150202, 0.0136285531662605, 0.013627505077364981, 0.013626430791886187, 0.013625332664342677, 0.013624213096510584, 0.013623074533939038, 0.013621919462864189, 0.013620750407566521, 0.013619569928216075, 0.013618380619249909, 0.013617185108326605, 0.013615986055902914, 0.013614786155478301, 0.013613588134553602, 0.013612394756351513, 0.013611208822347018, 0.013610033175657239, 0.013608870705340906, 0.01360772435165798, 0.013606597112339826, 0.013605492049919192, 0.013604412300166239, 0.013603361081672259, 0.013602341706614528, 0.013601357592724203, 0.01360041227646149, 0.013599509427378484, 0.013598652863616554, 0.013597846568440279, 0.013597094707650505, 0.013596401647641249, 0.013595771973764778, 0.013595210508541133, 0.013594722329087696, 0.013594312782944389, 0.013593987501225795, 0.013593752407737031, 0.013593613722342662, 0.01359357795647591, 0.013593651898224682, 0.013593842583943083, 0.013594157252837092, 0.013594603280500647, 0.01359518808699486, 0.01359591901485524, 0.013596803172495252, 0.013597847238996645, 0.013599057227407847, 0.013600438205596055, 0.013601993976584775, 0.013603726724272514, 0.013605636635472625, 0.013607721515164893, 0.013609976418281995, 0.013612393327548593, 0.013614960911824606, 0.01361766440182801, 0.013620485618723919, 0.013623403184785826, 0.013626392933649005, 0.013629428520968684, 0.013632482216052325, 0.013635525833810459, 0.013638531747441934, 0.013641473909014001, 0.013644328800215311, 0.013647076240368719, 0.013649699992827526, 0.01365218813194379, 0.013654533157452419, 0.013656731867482258, 0.013658785022013974, 0.013660696843053202, 0.013662474405059924, 0.013664126969587116, 0.013665665312951292, 0.013667101086932981, 0.013668446241913273, 0.013669712531155571, 0.01367091110534409, 0.01367205219869832, 0.0136731449022536, 0.013674197016158865, 0.013675214970810826, 0.013676203805939013, 0.013677167196985108, 0.013678107518927757, 0.013679025938803817, 0.013679922529356382, 0.013680796397360126, 0.013681645821156585, 0.013682468392747595, 0.013683261160451652, 0.013684020768656324, 0.013684743591645655, 0.013685425858893664, 0.013686063769638886, 0.013686653595024571, 0.013687191766623062, 0.013687674950759315, 0.01368810010868517, 0.013688464543292913, 0.013688765933638575, 0.013689002359013679, 0.013689172314601714, 0.013689274720840836, 0.01368930892846705, 0.013689308851044883, 0.013689308650545637, 0.013689308422428902, 0.01368930832631671, 0.013689308586766912, 0.013689309494335222, 0.013689311406907085, 0.013689314751277513, 0.013689320024955787, 0.01368932779817251, 0.013689338716068948, 0.013689353501053101, 0.013689372955313431, 0.01368939796348927, 0.013689429495506746, 0.013689468609600533, 0.013689516455553837, 0.013689574278202951, 0.013689643421266731, 0.013689725331576813, 0.013689821563800091, 0.013689933785761785, 0.013690063784495108, 0.013690213473162535, 0.013690384899014021, 0.013690580252570552, 0.013690801878246773, 0.013691052286655991, 0.01369133416887474, 0.013691650412984809, 0.013692004123258132, 0.013692398642408087, 0.01369283757740041, 0.01369332482940174, 0.013693864628547769, 0.013694461574339937, 0.013695120682636116, 0.013695847440393981, 0.01369664786956527, 0.013697528601836902, 0.013698496966287705, 0.013699561092496804, 0.013700730032229939, 0.013702013903578494, 0.013703424062381444, 0.013704973306986714, 0.013706676123993941, 0.013708548984683469, 0.013710610704542193, 0.013712882881872016, 0.013715390436232379, 0.013718162273876833, 0.013721232116043518, 0.013724639537891754, 0.013728431282418975, 0.013732662936894475, 0.013737401092296653, 0.013742726153666403, 0.0137487360385433, 0.013755551103375748, 0.013763320792777175, 0.013772232744691719, 0.013782525458102938, 0.013794506229004253, 0.01380857704500619, 0.013825272792133848, 0.013845319023633958, 0.013869721760200807, 0.01389991157061949, 0.013937983338383624, 0.013987112623040992, 0.014052316033040475, 0.014141926486600549, 0.014270675878243211, 0.014466765650544833, 0.014790167771846625, 0.015388416163314295, 0.016711817058166944, 0.020712646539985859, 0.04250000723946696, 0.051265726137389868, 0.020390927072006435, 0.015880121108994942, 0.014643006288866653, 0.014158225446639408, 0.013926726571962181, 0.013801627176718052, 0.013728111225242435, 0.013682236834409488, 0.013652307910762924, 0.01363211106529531, 0.013618123498995655, 0.013608241322440744, 0.013601153596931525, 0.013596014182415392, 0.013592260493145134, 0.013589508897052786, 0.013587492040976834, 0.013586020060835763, 0.013584955886553994, 0.013584199124777485, 0.013583675305818825, 0.013583328567310074, 0.013583116587818994, 0.013583007022445489, 0.013582974958886577, 0.013583001078001866, 0.013583070307892142, 0.01358317082833951, 0.013583293327051547, 0.013583430438934721, 0.013583576319805002, 0.013583726319807157, 0.013583876731456697, 0.013584024594004315, 0.013584167540650369, 0.013584303678607025, 0.013584431494524186, 0.013584549779640234, 0.013584657570381752, 0.013584754101153045, 0.013584838766820137, 0.013584911092974526, 0.013584970712505993, 0.013585017347358626, 0.013585050794615205, 0.013585070916271544, 0.013585077632240074, 0.013585070916271542, 0.013585050794615205, 0.013585017347358626, 0.013584970712505992, 0.013584911092974531, 0.013584838766820144, 0.013584754101153049, 0.013584657570381756, 0.013584549779640229, 0.013584431494524192, 0.013584303678607029, 0.013584167540650376, 0.013584024594004313, 0.013583876731456694, 0.013583726319807156, 0.013583576319805, 0.013583430438934721, 0.013583293327051549, 0.013583170828339505, 0.013583070307892142, 0.01358300107800187, 0.013582974958886582, 0.013583007022445493, 0.013583116587818994, 0.013583328567310076, 0.013583675305818825, 0.013584199124777483, 0.013584955886553994, 0.013586020060835764, 0.013587492040976827, 0.013589508897052788, 0.013592260493145134, 0.013596014182415392, 0.013601153596931518, 0.013608241322440748, 0.013618123498995648, 0.013632111065295306, 0.013652307910762928, 0.01368223683440949, 0.013728111225242395, 0.013801627176717979, 0.013926726571962179, 0.01415822544663937, 0.014643006288866793, 0.015880121108993575, 0.0203909270720013, 0.051265726137377281, 0.04250000723949153, 0.020712646539984367, 0.016711817058169202, 0.015388416163315205, 0.014790167771847091, 0.014466765650544819, 0.014270675878243254, 0.014141926486600566, 0.014052316033040434, 0.013987112623040966, 0.013937983338383636, 0.013899911570619499, 0.013869721760200831, 0.013845319023633977, 0.013825272792133842, 0.013808577045006201, 0.013794506229004246, 0.013782525458102943, 0.013772232744691717, 0.013763320792777183, 0.01375555110337575, 0.013748736038543303, 0.013742726153666396, 0.013737401092296653, 0.013732662936894475, 0.013728431282418973, 0.013724639537891754, 0.013721232116043517, 0.013718162273876839, 0.013715390436232384, 0.013712882881872016, 0.013710610704542195, 0.013708548984683471, 0.013706676123993941, 0.013704973306986716, 0.013703424062381441, 0.013702013903578491, 0.013700730032229939, 0.013699561092496811, 0.013698496966287702, 0.013697528601836904, 0.013696647869565275, 0.013695847440393986, 0.013695120682636112, 0.013694461574339938, 0.013693864628547766, 0.013693324829401738, 0.013692837577400406, 0.013692398642408087, 0.013692004123258134, 0.013691650412984811, 0.013691334168874743, 0.013691052286655986, 0.013690801878246773, 0.013690580252570552, 0.013690384899014023, 0.013690213473162533, 0.01369006378449511, 0.013689933785761783, 0.01368982156380009, 0.013689725331576811, 0.013689643421266728, 0.013689574278202951, 0.013689516455553833, 0.013689468609600536, 0.013689429495506746, 0.013689397963489265, 0.013689372955313434, 0.013689353501053093, 0.013689338716068944, 0.013689327798172512, 0.013689320024955785, 0.013689314751277515, 0.013689311406907085, 0.013689309494335222, 0.01368930858676691, 0.013689308326316709, 0.0136893084224289, 0.013689308650545635, 0.013689308851044878, 0.013689308928467057, 0.013689308889281993, 0.013689308781914409, 0.013689308636944125, 0.013689308505393898, 0.01368930845881316, 0.013689308589393786, 0.013689309010116269, 0.013689309854924558, 0.013689311278927417, 0.01368931345862406, 0.013689316592151567, 0.013689320899551717, 0.013689326623054809, 0.013689334027378335, 0.013689343400038433, 0.013689355051672654, 0.013689369316372773, 0.013689386552027071, 0.013689407140672048, 0.013689431488854193, 0.013689460028003111, 0.013689493214818292, 0.013689531531672369, 0.013689575487034726, 0.013689625615920194, 0.013689682480368351, 0.013689746669960151, 0.013689818802379083, 0.01368989952402549, 0.013689989510693293, 0.013690089468319467, 0.013690200133817559, 0.013690322276007609, 0.013690456696655836, 0.013690604231638412, 0.013690765752245187, 0.013690942166640005, 0.013691134421495853, 0.013691343503824546, 0.013691570443022192, 0.013691816313153428, 0.013692082235499626, 0.01369236938139836, 0.013692678975404023, 0.013693012298802557, 0.013693370693516387, 0.01369375556643967, 0.013694168394248165, 0.013694610728733224, 0.013695084202714959, 0.013695590536596471, 0.013696131545628504, 0.013696709147962701, 0.013697325373581776, 0.013697982374206689, 0.013698682434294304, 0.013699427983254801, 0.013700221609036403, 0.013701066073245907, 0.013701964327998443, 0.013702919534718609, 0.013703935085148713, 0.013705014624859731, 0.013706162079606616, 0.013707381684925036, 0.013708678019430843, 0.013710056042361016, 0.013711521135985873, 0.013713079153631749, 0.013714736474183729, 0.013716500064095144, 0.013718377548119571, 0.013720377290209964, 0.013722508486307509, 0.013724781271081832, 0.013727206841099477, 0.013729797597407946, 0.013732567311154149, 0.013735531316639073, 0.01373870673718864, 0.013742112750446735, 0.013745770901243244, 0.013749705472151917, 0.013753943924356558, 0.01375851742465988, 0.013763461478626301, 0.013768816695263458, 0.013774629715746899, 0.01378095434807982, 0.013787852962093188, 0.013795398216021902, 0.013803675208741073, 0.013812784183076972, 0.013822843949028612, 0.013833996256604544, 0.013846411434353998, 0.013860295733860535, 0.013875901001569459, 0.01389353756748854, 0.013913591644033279, 0.013936549147173103, 0.013963028819611553, 0.013993829081497232, 0.014029995563103574, 0.014072920521885246, 0.014124492694338173, 0.014187329268486421, 0.014265146031744551, 0.014363368908578984, 0.014490185902740307, 0.014658444336844791, 0.014889270981407176, 0.015219467102186449, 0.015717941645870859, 0.016526331768517661, 0.017974328828213378, 0.020973748970246217, 0.028738873951218279, 0.055578256855566131, 0.087373300468210235, 0.038098948718265906, 0.022501356482817723, 0.01783098460097135, 0.015964070706524794, 0.015059916785105109, 0.014563090228789604, 0.014265029276170522, 0.014074375038477877, 0.013792845004748288, 0.01368271227554904, 0.013631815805435168, 0.013605879493081761, 0.013591884648073481, 0.013584122421925332, 0.013579820200205596, 0.013577524845773384, 0.013576428702652667, 0.013576061552680076, 0.013576139208575158, 0.013576484579054625, 0.013576984464784628, 0.013577564926696158, 0.013578176748405179, 0.013578786597971439, 0.013579371515213446, 0.013579915395777423, 0.013580406704525306, 0.013580836962718251, 0.013581199732095796, 0.013581489924134748, 0.013581703326429925, 0.013581836277869901, 0.013581885450161315, 0.013581847711378721, 0.013581720061659858, 0.0135814996452312, 0.013581183860194032, 0.01358077061298857, 0.013580258806812545, 0.013579649228735786, 0.013578946141242139, 0.013578160158329881, 0.013577313543139072, 0.013576450247951493, 0.013575655674191748, 0.01357509748690151, 0.013575115252825565, 0.013576433421431175, 0.013580722282999325, 0.01359229687311168, 0.013624401209270214, 0.013731026940649167, 0.014297985991113572, 0.032459469350213078, 0.016182568924201671, 0.014250869452514784, 0.013917426061848844, 0.013797241362658716, 0.013738546027678083, 0.013704635702756689, 0.013682832112313675, 0.013667734527942422, 0.013656697679364048, 0.01364828964767123, 0.013641674776684955, 0.013636335979996934, 0.013631937974967461, 0.013628254914309431, 0.013625129786006451, 0.013622450499727908, 0.013620135209617431, 0.013618122982285197, 0.013616367678855467, 0.013614833835076804, 0.013613493820452247, 0.013612325837632357, 0.013611312486773152, 0.013610439717765519, 0.013609696053832882, 0.013609072008282853, 0.013608559640925165, 0.013608152216954304, 0.013607843942017408, 0.013607629754634977, 0.013607505162297959, 0.013607466111185528, 0.01360750888202397, 0.013607630006463327, 0.013607826199700935, 0.01360809430607814, 0.013608431255118417, 0.013608834026033752, 0.01360929961914983, 0.01360982503302538, 0.013610407246292386, 0.013611043203439064, 0.013611729803911614, 0.013612463894031925, 0.013613242261325308, 0.013614061630929654, 0.013614918663819461, 0.013615809956628375, 0.013616732042893966, 0.013617681395581081, 0.013618654430765832, 0.013619647512382873, 0.013620656957954525, 0.013621679045232517, 0.013622710019691902, 0.013623746102822706, 0.013624783501168554, 0.013625818416063095, 0.013626847054014318, 0.013627865637685723, 0.013628870417419496, 0.013629857683243277, 0.013630823777296644, 0.013631765106608573, 0.013632678156150555, 0.01363355950208479, 0.013634405825120776, 0.013635213923888062, 0.013635980728228319, 0.013636703312305617, 0.013637378907430634, 0.013638004914492834, 0.013638578915893269, 0.013639098686872235, 0.01363956220612738, 0.013639967665622211, 0.013640313479489864, 0.013640598291943945, 0.01364082098411677, 0.013640980679754696, 0.013641076749711272, 0.013641108815191347, 0.013641087436371628, 0.013641023362271585, 0.013640916779776134, 0.013640767999719999, 0.013640577455932138, 0.013640345703907141, 0.013640073419112615, 0.013639761394944055, 0.013639410540340929, 0.013639021877079703, 0.013638596536761619, 0.013638135757514562, 0.013637640880430058, 0.013637113345757273, 0.013636554688877246, 0.013635966536081338, 0.013635350600177584, 0.013634708675950017, 0.013634042635494725, 0.013633354423456858, 0.013632646052191685, 0.013631919596872155, 0.013631177190564298, 0.013630421019290054, 0.013629653317096049, 0.013628876361144737, 0.013628092466842236, 0.013627303983015322, 0.013626513287147344, 0.013625722780680742, 0.013624934884390741, 0.013624152033832592, 0.013623376674861279, 0.013622611259220249, 0.013621858240192346, 0.013621120068302931, 0.013620399187062518, 0.013619698028732528, 0.013619019010094831, 0.013618364528202642, 0.0136177369560868, 0.013617138638388808, 0.013616571886888534, 0.013616038975891894, 0.01361554213744097, 0.013615083556306614, 0.013614665364721376, 0.013614289636809045, 0.013613958382665672, 0.013613673542046737, 0.013613436977615032, 0.01361325046770551, 0.01361311569856553, 0.013613034256032967, 0.013613007616619922, 0.013613037137977645, 0.013613124048727205, 0.013613269437653041, 0.013613474242270896, 0.01361373923679938, 0.013614065019585123, 0.013614452000055819, 0.013614900385302314, 0.013615410166422051, 0.01361598110478927, 0.013616612718453741, 0.013617304268907535, 0.01361805474849819, 0.013618862868805001, 0.013619727050331659, 0.013620645413901062, 0.013621615774164767, 0.01362263563565796, 0.013623702191838066, 0.013624812327539195, 0.013625962625252629, 0.01362714937560342, 0.013628368592333986, 0.013629616032025253, 0.013630887218685894, 0.013632177473220987, 0.013633481947655828, 0.013634795663842647, 0.013636113556222882, 0.013637430518061662, 0.013638741450421684, 0.013640041313008382, 0.013641325175905021, 0.013642588271132093, 0.013643826042916456, 0.01364503419554614, 0.013646208737719677, 0.013647346022373321, 0.013648442781084371, 0.013649496152298107, 0.013650503702804028, 0.013651463442084278, 0.013652373829365934, 0.013653233773416991, 0.013654042625325942, 0.013654800164687413, 0.013655506579773453, 0.013656162442397885, 0.013656768678274912, 0.013657326533732089, 0.013657837539662531, 0.013658303473593369, 0.01365872632071205, 0.013659108234631586, 0.01365945149859797, 0.013659758487750865, 0.013660031632949429, 0.013660273386572445, 0.013660486190600974, 0.013660672447195628, 0.01366083449189239, 0.013660974569462917, 0.013661094812418173, 0.013661197222079769, 0.013661283652100569, 0.013661355794285469, 0.013661415166543709, 0.013661463102794976, 0.013661500744651108, 0.013661529034703919, 0.013661548711263983, 0.0136615603044162, 0.013661564133283214], [0.013297112896612966, 0.013297086298280653, 0.013297006566251724, 0.013296873889204112, 0.013296688580849477, 0.013296451078813233, 0.013296161943081518, 0.013295821854029504, 0.013295431610049506, 0.013294992124801354, 0.01329450442411031, 0.013293969642541585, 0.013293389019683207, 0.01329276389617149, 0.013292095709495749, 0.013291385989620964, 0.013290636354468522, 0.013289848505296539, 0.013289024222022435, 0.013288165358530861, 0.013287273838010889, 0.013286351648366126, 0.013285400837742092, 0.013284423510214319, 0.013283421821680977, 0.01328239797600317, 0.013281354221435657, 0.01328029284739056, 0.013279216181576082, 0.013278126587552019, 0.013277026462743945, 0.013275918236957457, 0.013274804371434591, 0.013273687358494437, 0.013272569721800844, 0.013271454017300321, 0.013270342834874735, 0.013269238800753608, 0.01326814458073209, 0.013267062884241175, 0.013265996469317099, 0.013264948148516325, 0.013263920795821452, 0.013262917354580321, 0.013261940846515698, 0.013260994381835393, 0.013260081170460814, 0.013259204534375367, 0.013258367921070775, 0.01325757491803735, 0.013256829268201381, 0.013256134886155782, 0.01325549587495628, 0.013254916543159747, 0.013254401421660015, 0.013253955279724131, 0.013253583139443425, 0.01325329028758304, 0.013253082283537155, 0.013252964961770728, 0.0132529444267532, 0.0132530270379695, 0.013253219382142068, 0.013253528229337338, 0.013253960469200797, 0.013254523023223851, 0.013255222728775972, 0.013256066190746114, 0.013257059597164989, 0.013258208496282948, 0.013259517534425539, 0.013260990156691537, 0.013262628276295456, 0.013264431923077909, 0.013266398887235643, 0.013268524380247601, 0.013270800740611497, 0.013273217216400878, 0.013275759858652444, 0.01327841155801384, 0.013281152250964864, 0.01328395931085305, 0.013286808123376362, 0.013289672827428175, 0.013292527182780633, 0.013295345508936983, 0.013298103627695058, 0.013300779737936842, 0.013303355156013236, 0.013305814868318656, 0.013308147862175386, 0.01331034722380459, 0.013312410014418772, 0.01331433695419585, 0.013316131956944505, 0.013317801564759767, 0.013319354332216465, 0.013320800204871973, 0.013322149928736713, 0.013323414517670858, 0.013324604795884364, 0.013325731023945183, 0.013326802609573824, 0.013327827899254116, 0.013328814043251853, 0.013329766924747691, 0.01333069114311148, 0.01333159004151423, 0.013332465769767352, 0.013333319374235026, 0.013334150907691611, 0.013334959552966485, 0.013335743755064156, 0.013336501357146036, 0.013337229736324204, 0.013337925935681023, 0.013338586789340835, 0.013339209037831699, 0.013339789431433028, 0.013340324819742268, 0.013340812226325239, 0.013341248908032561, 0.013341632399335822, 0.013341960542809421, 0.01334223150758646, 0.013342443798175299, 0.013342596256366544, 0.013342688059035764, 0.013342718714430988, 0.013342718728137535, 0.013342718796656584, 0.013342719002375412, 0.013342719483231855, 0.013342720433638084, 0.013342722105745129, 0.0133427248110217, 0.013342728922115871, 0.013342734874965997, 0.013342743171126253, 0.013342754380274371, 0.013342769142873245, 0.013342788172964262, 0.013342812261079105, 0.013342842277266547, 0.013342879174243195, 0.013342923990689723, 0.013342977854728887, 0.013343041987636091, 0.013343117707849185, 0.013343206435360125, 0.013343309696587653, 0.013343429129847493, 0.013343566491554453, 0.013343723663309888, 0.013343902660048864, 0.013344105639444194, 0.013344334912790615, 0.013344592957622112, 0.013344882432350824, 0.013345206193257134, 0.013345567314210912, 0.013345969109563987, 0.013346415160727151, 0.013346909347034778, 0.01334745588160959, 0.013348059353074935, 0.013348724774128429, 0.013349457638196663, 0.013350263985646305, 0.013351150481346252, 0.013352124505775014, 0.013353194262370567, 0.013354368904456567, 0.013355658685888391, 0.013357075140598756, 0.013358631297557325, 0.013360341939389033, 0.013362223915156041, 0.013364296520782155, 0.013366581964544707, 0.013369105940339339, 0.013371898338555054, 0.013374994134123921, 0.013378434504714976, 0.013382268250724295, 0.01338655361506272, 0.013391360638387714, 0.013396774239956723, 0.013402898294462208, 0.013409861095035822, 0.013417822774867406, 0.013426985542486726, 0.013437608033289149, 0.013450025805263471, 0.013464681213217306, 0.013482167960236427, 0.013503299273159826, 0.013529215332718071, 0.013561558349494971, 0.013602769217765411, 0.013656613685668716, 0.013729167798709401, 0.013830789223809425, 0.013980395928036963, 0.014215768416458677, 0.014621994645695248, 0.015426415887187819, 0.017418818957667882, 0.024886509648550461, 0.069737202408557311, 0.029717487345063423, 0.017284597511906977, 0.014858249507611722, 0.014057264057147034, 0.013710010722891335, 0.013533336738375524, 0.013433572479967688, 0.013372986997246428, 0.013334184713279407, 0.013308315717365144, 0.013290526990604271, 0.013277995469184697, 0.013268998814652631, 0.013262444206576511, 0.013257615124796989, 0.013254028525072794, 0.013251350906763604, 0.013249347221074287, 0.013247848805194643, 0.013246732711564851, 0.013245908064340122, 0.013245306863029993, 0.013244877666247311, 0.013244581179720525, 0.013244387127102037, 0.013244271999682974, 0.013244217417645943, 0.013244208922862086, 0.013244235080180083, 0.013244286801884393, 0.013244356835384871, 0.013244439371522825, 0.013244529742855286, 0.01324462418966145, 0.013244719677349441, 0.013244813753186944, 0.013244904433347898, 0.013244990113506543, 0.013245069497859131, 0.013245141542678895, 0.013245205411428724, 0.013245260439151545, 0.013245306104390014, 0.013245342007298384, 0.013245367852932392, 0.013245383438960371, 0.013245388647249721, 0.013245383438960366, 0.013245367852932392, 0.013245342007298383, 0.013245306104390012, 0.013245260439151554, 0.013245205411428724, 0.0132451415426789, 0.013245069497859132, 0.013244990113506539, 0.013244904433347898, 0.013244813753186944, 0.013244719677349444, 0.013244624189661448, 0.013244529742855284, 0.013244439371522827, 0.013244356835384864, 0.0132442868018844, 0.013244235080180087, 0.013244208922862084, 0.013244217417645948, 0.013244271999682982, 0.013244387127102042, 0.013244581179720528, 0.013244877666247313, 0.013245306863029991, 0.013245908064340126, 0.013246732711564851, 0.01324784880519464, 0.013249347221074292, 0.0132513509067636, 0.013254028525072794, 0.013257615124796989, 0.013262444206576513, 0.013268998814652624, 0.013277995469184702, 0.013290526990604261, 0.013308315717365139, 0.01333418471327941, 0.013372986997246431, 0.013433572479967642, 0.013533336738375425, 0.013710010722891334, 0.014057264057146988, 0.014858249507611946, 0.017284597511904094, 0.029717487345045788, 0.069737202408570134, 0.024886509648557754, 0.017418818957667271, 0.015426415887189066, 0.014621994645695836, 0.01421576841645901, 0.013980395928036958, 0.01383078922380946, 0.013729167798709412, 0.013656613685668681, 0.013602769217765395, 0.013561558349494983, 0.013529215332718078, 0.013503299273159845, 0.01348216796023644, 0.013464681213217297, 0.01345002580526348, 0.013437608033289142, 0.013426985542486732, 0.013417822774867406, 0.013409861095035827, 0.013402898294462211, 0.013396774239956728, 0.013391360638387712, 0.013386553615062718, 0.013382268250724298, 0.013378434504714974, 0.01337499413412392, 0.013371898338555054, 0.013369105940339344, 0.013366581964544709, 0.013364296520782155, 0.013362223915156039, 0.013360341939389037, 0.013358631297557325, 0.013357075140598758, 0.013355658685888389, 0.013354368904456564, 0.013353194262370567, 0.013352124505775016, 0.013351150481346254, 0.013350263985646304, 0.013349457638196666, 0.013348724774128429, 0.013348059353074935, 0.013347455881609592, 0.013346909347034776, 0.013346415160727149, 0.013345969109563989, 0.013345567314210908, 0.013345206193257133, 0.013344882432350824, 0.013344592957622112, 0.013344334912790615, 0.013344105639444194, 0.013343902660048864, 0.013343723663309888, 0.013343566491554453, 0.013343429129847493, 0.013343309696587652, 0.013343206435360125, 0.013343117707849184, 0.013343041987636087, 0.013342977854728882, 0.013342923990689724, 0.013342879174243198, 0.013342842277266545, 0.013342812261079098, 0.013342788172964264, 0.013342769142873238, 0.013342754380274371, 0.013342743171126253, 0.013342734874965999, 0.01334272892211587, 0.013342724811021696, 0.013342722105745129, 0.013342720433638081, 0.013342719483231853, 0.013342719002375412, 0.013342718796656584, 0.013342718728137533, 0.013342718714430992, 0.013342718720882522, 0.013342718749106249, 0.013342718825731469, 0.013342718995213153, 0.013342719319939999, 0.013342719880383595, 0.013342720775286645, 0.013342722121887585, 0.013342724056178723, 0.01334272673319465, 0.013342730327327348, 0.013342735032664439, 0.013342741063346972, 0.013342748653943316, 0.013342758059835806, 0.013342769557617384, 0.013342783445495639, 0.013342800043702491, 0.013342819694908123, 0.013342842764638742, 0.013342869641698256, 0.013342900738595133, 0.013342936491976244, 0.013342977363070694, 0.013343023838147403, 0.013343076428991241, 0.013343135673403594, 0.013343202135733853, 0.013343276407449797, 0.013343359107755332, 0.013343450884265364, 0.013343552413748259, 0.013343664402947604, 0.013343787589495722, 0.013343922742932533, 0.013344070665844431, 0.013344232195138847, 0.013344408203471459, 0.013344599600844231, 0.013344807336393866, 0.013345032400391891, 0.013345275826479146, 0.01334553869415967, 0.013345822131580826, 0.013346127318629438, 0.013346455490376124, 0.013346807940903687, 0.013347186027558919, 0.01334759117567148, 0.013348024883788652, 0.01334848872948023, 0.013348984375774465, 0.013349513578293538, 0.01335007819316558, 0.013350680185800552, 0.013351321640628621, 0.01335200477191332, 0.013352731935767258, 0.013353505643516205, 0.013354328576578523, 0.013355203603051388, 0.013356133796223798, 0.013357122455270249, 0.013358173128417855, 0.013359289638926464, 0.013360476114275705, 0.01336173701901772, 0.013363077191830865, 0.013364501887401205, 0.013366016823867417, 0.013367628236695316, 0.013369342940005267, 0.013371168396564794, 0.013373112797888097, 0.013375185156162586, 0.013377395410062614, 0.01337975454692718, 0.01338227474429121, 0.013384969534394515, 0.013387853996080369, 0.013390944979480334, 0.013394261370117367, 0.013397824400619658, 0.013401658020218192, 0.013405789334731582, 0.013410249132994739, 0.013415072519898583, 0.013420299681696347, 0.013425976816439956, 0.013432157271951217, 0.01343890294646905, 0.013446286024267191, 0.0134543911418585, 0.013463318112430886, 0.013473185380622456, 0.013484134442180612, 0.013496335551815571, 0.013509995170439977, 0.013525365789870769, 0.013542759050433714, 0.013562563485517758, 0.013585268870531887, 0.013611500162552203, 0.013642065633740989, 0.013678026455988167, 0.013720799470024685, 0.013772312647447806, 0.013835246719514941, 0.013913422494941652, 0.014012444107791126, 0.014140812193329313, 0.014311945796159652, 0.014548072976516887, 0.014888259998779199, 0.015406481746157819, 0.016257020352810549, 0.017806149449742084, 0.021095370406731304, 0.029939027791599283, 0.06125824101712668, 0.080640762757793166, 0.034348237955711437, 0.021254011158812623, 0.017170092713673951, 0.015487127071248701, 0.014655191520794256, 0.014191288614162124, 0.013909837822480812, 0.013518911026795559, 0.01337517460492506, 0.013310661160857207, 0.013278129190445496, 0.013260509055524472, 0.013250555530788331, 0.013244826885078243, 0.013241546471311547, 0.01323973681852645, 0.013238832429480041, 0.013238492624910898, 0.013238505226324209, 0.013238734363325139, 0.013239090944648025, 0.013239515329831248, 0.013239966837370056, 0.013240417218202816, 0.013240846499362531, 0.013241240282229958, 0.013241587954720873, 0.013241881490146929, 0.013242114630537592, 0.013242282327595641, 0.013242380361373639, 0.013242405087262705, 0.013242353283227076, 0.013242222086214638, 0.013242009023198538, 0.01324171216250233, 0.013241330440802307, 0.013240864270492087, 0.013240316619783784, 0.013239694921752811, 0.013239014487871169, 0.013238304751587347, 0.013237621056087254, 0.013237067837606063, 0.013236846631010123, 0.013237362149558172, 0.013239477010995147, 0.01324519384529411, 0.013259774430837116, 0.013299903598503329, 0.013438107237341096, 0.014282188395780888, 0.05209519569393406, 0.015057735191081495, 0.01380158171629204, 0.013538142504041607, 0.013436639058201746, 0.013385391257893701, 0.013355196815125928, 0.013335532600935134, 0.013321794655125497, 0.013311686239257443, 0.01330394744654096, 0.013297835586626753, 0.013292887500643251, 0.013288801006790316, 0.013285371532163576, 0.013282456268816394, 0.013279952917482855, 0.013277786566554824, 0.013275901308883897, 0.013274254722858427, 0.013272814142425477, 0.013271554076935222, 0.0132704543890723, 0.013269498984111585, 0.013268674851206936, 0.013267971351594783, 0.013267379682944714, 0.013266892471340087, 0.013266503457067442, 0.013266207250273684, 0.013265999139302018, 0.013265874939202053, 0.013265830871205144, 0.013265863466305379, 0.013265969487781784, 0.013266145868734635, 0.01326638966162173, 0.013266697997461625, 0.013267068052883173, 0.01326749702359069, 0.013267982103112766, 0.013268520465934432, 0.013269109254292399, 0.013269745568055293, 0.013270426457222848, 0.01327114891666756, 0.013271909882813793, 0.013272706232007049, 0.013273534780372303, 0.013274392284997744, 0.013275275446310374, 0.013276180911533837, 0.013277105279138036, 0.013278045104204756, 0.013278996904644909, 0.013279957168211258, 0.013280922360255888, 0.013281888932185213, 0.01328285333056674, 0.013283812006841067, 0.013284761427591598, 0.013285698085320773, 0.013286618509678251, 0.013287519279081655, 0.013288397032665345, 0.01328924848248718, 0.01329007042591779, 0.013290859758131365, 0.013291613484611857, 0.013292328733583863, 0.01329300276827382, 0.013293632998903874, 0.01329421699431931, 0.013294752493149223, 0.013295237414401327, 0.013295669867393379, 0.013296048160927467, 0.013296370811618224, 0.013296636551292372, 0.013296844333385105, 0.013296993338267414, 0.013297082977449037, 0.013297112896612966, 0.013297092948788903, 0.013297033163643555, 0.013296933715977323, 0.01329679489652558, 0.013296617111064883, 0.013296400879170434, 0.01329614683263297, 0.013295855713546079, 0.013295528372076534, 0.013295165763932535, 0.013294768947546415, 0.013294339080989953, 0.013293877418641806, 0.013293385307627767, 0.013292864184055337, 0.013292315569065079, 0.013291741064720964, 0.013291142349763061, 0.013290521175244771, 0.013289879360077233, 0.013289218786502544, 0.013288541395516603, 0.013287849182261641, 0.013287144191406688, 0.013286428512533123, 0.013285704275540808, 0.013284973646088029, 0.013284238821076832, 0.01328350202419294, 0.013282765501507218, 0.013282031517143059, 0.013281302349011688, 0.013280580284614443, 0.013279867616908664, 0.013279166640230704, 0.013278479646266779, 0.013277808920059553, 0.013277156736035179, 0.013276525354032596, 0.013275917015314057, 0.013275333938532552, 0.013274778315629275, 0.013274252307631105, 0.013273758040315553, 0.01327329759970822, 0.013272873027375095, 0.01327248631547057, 0.013272139401500085, 0.013271834162755403, 0.013271572410379988, 0.013271355883022334, 0.013271186240036283, 0.013271065054189695, 0.013270993803846606, 0.013270973864593029, 0.013271006500283894, 0.01327109285349719, 0.013271233935393114, 0.013271430614989768, 0.013271683607883446, 0.01327199346446134, 0.013272360557677075, 0.01327278507048524, 0.013273266983059862, 0.013273806059953406, 0.01327440183738666, 0.013275053610895638, 0.013275760423597762, 0.013276521055375846, 0.013277334013312218, 0.013278197523735871, 0.013279109526270086, 0.013280067670284805, 0.013281069314164293, 0.013282111527794255, 0.01328319109865099, 0.013284304541836848, 0.013285448114349226, 0.013286617833794312, 0.013287809501661535, 0.013289018731162212, 0.013290240979507669, 0.013291471584363019, 0.013292705804067138, 0.013293938861063222, 0.013295165987845383, 0.01329638247460063, 0.013297583717621724, 0.013298765267489248, 0.013299922875978098, 0.013301052540637556, 0.013302150546027566, 0.0133032135006666, 0.013304238368856452, 0.013305222496691136, 0.013306163631725402, 0.013307059935963933, 0.013307909992027765, 0.013308712802548779, 0.013309467783029315, 0.013310174748572866, 0.013310833895036882, 0.013311445775275828, 0.013312011271227879, 0.013312531562651261, 0.013313008093337035, 0.013313442535615937, 0.013313836753941707, 0.013314192768275834, 0.013314512717924613, 0.013314798826392953, 0.013315053367726266, 0.013315278634716153, 0.013315476909251204, 0.013315650435005485, 0.01331580139257519, 0.013315931877101887, 0.013316043878359054, 0.013316139263228312, 0.013316219760452408, 0.013316286947524236, 0.013316342239553225, 0.013316386879942389, 0.013316421932709559, 0.013316448276294158, 0.013316466598705015, 0.013316477393883884, 0.013316480959183323], [0.012203840784814051, 0.012203816045245008, 0.012203741885151649, 0.012203618480166028, 0.012203446122312592, 0.0122032252189715, 0.012202956291441299, 0.012202639973114006, 0.012202277007280103, 0.012201868244584111, 0.012201414640154267, 0.012200917250433362, 0.012200377229740255, 0.012199795826593869, 0.012199174379833767, 0.012198514314573387, 0.012197817138023117, 0.012197084435222025, 0.012196317864717834, 0.012195519154235359, 0.012194690096374312, 0.012193832544377172, 0.01219294840800848, 0.012192039649586135, 0.01219110828020559, 0.012190156356197275, 0.012189185975857221, 0.012188199276490775, 0.012187198431808674, 0.0121861856497148, 0.012185163170524739, 0.012184133265654163, 0.012183098236816459, 0.012182060415769249, 0.012181022164649995, 0.01217998587694131, 0.012178953979107843, 0.012177928932946853, 0.012176913238695663, 0.012175909438939678, 0.012174920123364725, 0.012173947934397052, 0.012172995573772929, 0.012172065810076725, 0.012171161487281583, 0.012170285534318996, 0.012169440975692291, 0.012168630943132619, 0.012167858688273346, 0.01216712759628783, 0.012166441200393962, 0.01216580319707415, 0.012165217461788266, 0.012164688064865597, 0.012164219287145644, 0.012163815634792571, 0.012163481852528314, 0.012163222934310726, 0.012163044130221149, 0.012162950948018197, 0.01216294914746139, 0.012163044725115433, 0.01216324388692561, 0.012163553005430629, 0.01216397855808838, 0.012164527042889107, 0.012165204867297292, 0.012166018206701905, 0.012166972829092852, 0.012168073883766438, 0.012169325653649522, 0.012170731273455698, 0.012172292419430294, 0.012174008980882074, 0.012175878728855848, 0.01217789700277234, 0.012180056440998245, 0.012182346785213386, 0.012184754790045868, 0.012187264267673458, 0.012189856291092425, 0.012192509569205479, 0.01219520099223087, 0.012197906328563339, 0.012200601036365914, 0.012203261137621718, 0.012205864091910049, 0.01220838960393094, 0.012210820303726371, 0.012213142251080675, 0.012215345233764174, 0.012217422850183242, 0.012219372387391245, 0.012221194522465555, 0.012222892887052503, 0.012224473540660728, 0.012225944398369036, 0.012227314654137185, 0.012228594233413216, 0.012229793299814443, 0.012230921831686829, 0.012231989276307979, 0.012233004282965846, 0.012233974511327768, 0.012234906508347198, 0.012235805645202586, 0.012236676105106765, 0.012237520912938931, 0.012238341998237546, 0.012239140283913555, 0.012239915793922437, 0.012240667773958455, 0.012241394819944785, 0.012242095009674193, 0.01224276603342405, 0.012243405319767047, 0.012244010153177663, 0.012244577780449826, 0.012245105503441843, 0.012245590756284482, 0.012246031165938771, 0.012246424595856346, 0.012246769173432948, 0.012247063302886482, 0.012247305666045339, 0.01224749521420653, 0.012247631154627819, 0.012247712935286627, 0.012247740231242163, 0.01224774033943, 0.012247740687183902, 0.012247741344299623, 0.012247742427846323, 0.012247744103261524, 0.012247746585846219, 0.012247750142625091, 0.012247755094529954, 0.012247761818860723, 0.012247770751976304, 0.012247782392169297, 0.012247797302682195, 0.012247816114829259, 0.012247839531197482, 0.012247868328910644, 0.012247903362953717, 0.012247945569568619, 0.012247995969747792, 0.012248055672867707, 0.012248125880520853, 0.012248207890621268, 0.012248303101875292, 0.012248413018726374, 0.012248539256899987, 0.012248683549692531, 0.012248847755167443, 0.012249033864442085, 0.012249244011272229, 0.012249480483166795, 0.012249745734296455, 0.012250042400495053, 0.012250373316696334, 0.012250741537200141, 0.012251150359225379, 0.012251603350284235, 0.012252104380006347, 0.012252657657157953, 0.012253267772743883, 0.012253939750257547, 0.012254679104363252, 0.012255491909568934, 0.01225638488078896, 0.012257365468125787, 0.01225844196874086, 0.012259623659371981, 0.012260920953930349, 0.012262345591735346, 0.012263910863397549, 0.01226563188325056, 0.01226752591970862, 0.012269612798198328, 0.012271915395669526, 0.012274460251544959, 0.012277278327909862, 0.012280405962624277, 0.012283886074112127, 0.012287769697696129, 0.012292117963298269, 0.01229700466737505, 0.012302519654727223, 0.012308773318775994, 0.012315902668876789, 0.012324079627932635, 0.012333522559503471, 0.012344512560937583, 0.01235741693961414, 0.012372723771786462, 0.012391094015172159, 0.012413442260816657, 0.012441065811842816, 0.012475858527739477, 0.012520680176602015, 0.012580026540158431, 0.012661318992768648, 0.01277757158137119, 0.012953427353667913, 0.013240505780067363, 0.013763032866943527, 0.014887381903303853, 0.018111031752331964, 0.034154318772577151, 0.060148986936039796, 0.020373169990135619, 0.014769103293163008, 0.01333603262548066, 0.012792479388529425, 0.012537088332634592, 0.01240013021595622, 0.012319838630915247, 0.01226967170606817, 0.012236804273434342, 0.012214473664856292, 0.012198864765473197, 0.012187706355120686, 0.0121795857491884, 0.01217359172397816, 0.01216911823270065, 0.012165751534730417, 0.012163202748849912, 0.01216126619197512, 0.012159792891387716, 0.012158673311151717, 0.012157825831285208, 0.012157188908223534, 0.012156715643520668, 0.012156369959536638, 0.012156123866851967, 0.012155955485545818, 0.012155847594832975, 0.012155786558089004, 0.012155761517942855, 0.012155763787924734, 0.012155786388707781, 0.012155823691784381, 0.012155871143715032, 0.012155925051336995, 0.012155982413479741, 0.012156040788446324, 0.012156098189216539, 0.012156153000305646, 0.01215620391167698, 0.012156249866200994, 0.012156290017978865, 0.012156323699478219, 0.012156350395913833, 0.012156369725686327, 0.012156381425994284, 0.012156385342982183, 0.012156381425994284, 0.012156369725686329, 0.012156350395913828, 0.012156323699478222, 0.012156290017978874, 0.012156249866200999, 0.012156203911676988, 0.012156153000305647, 0.012156098189216537, 0.012156040788446324, 0.012155982413479736, 0.012155925051337002, 0.012155871143715033, 0.012155823691784381, 0.01215578638870778, 0.012155763787924729, 0.01215576151794286, 0.012155786558089004, 0.012155847594832972, 0.012155955485545815, 0.012156123866851968, 0.012156369959536641, 0.012156715643520669, 0.012157188908223532, 0.012157825831285206, 0.012158673311151722, 0.012159792891387711, 0.012161266191975124, 0.012163202748849912, 0.012165751534730412, 0.012169118232700652, 0.01217359172397816, 0.012179585749188402, 0.012187706355120682, 0.012198864765473204, 0.012214473664856278, 0.012236804273434338, 0.012269671706068174, 0.012319838630915252, 0.012400130215956156, 0.012537088332634446, 0.012792479388529423, 0.013336032625480587, 0.014769103293163508, 0.020373169990128098, 0.06014898693599699, 0.034154318772585894, 0.018111031752334548, 0.014887381903303494, 0.013763032866944334, 0.01324050578006776, 0.012953427353668161, 0.012777571581371185, 0.012661318992768674, 0.012580026540158435, 0.012520680176601986, 0.012475858527739461, 0.012441065811842823, 0.012413442260816662, 0.012391094015172178, 0.012372723771786474, 0.012357416939614136, 0.012344512560937588, 0.012333522559503469, 0.012324079627932636, 0.012315902668876793, 0.012308773318776001, 0.012302519654727229, 0.012297004667375051, 0.012292117963298264, 0.012287769697696127, 0.012283886074112129, 0.012280405962624275, 0.01227727832790986, 0.012274460251544961, 0.012271915395669533, 0.012269612798198331, 0.012267525919708623, 0.012265631883250562, 0.012263910863397554, 0.012262345591735346, 0.012260920953930351, 0.012259623659371981, 0.012258441968740858, 0.012257365468125787, 0.01225638488078896, 0.012255491909568933, 0.012254679104363252, 0.012253939750257549, 0.012253267772743883, 0.012252657657157951, 0.012252104380006346, 0.012251603350284235, 0.012251150359225381, 0.012250741537200138, 0.012250373316696331, 0.012250042400495055, 0.012249745734296455, 0.012249480483166797, 0.012249244011272226, 0.012249033864442089, 0.012248847755167437, 0.012248683549692529, 0.012248539256899985, 0.012248413018726374, 0.012248303101875292, 0.012248207890621268, 0.012248125880520854, 0.012248055672867705, 0.012247995969747797, 0.012247945569568621, 0.01224790336295372, 0.012247868328910639, 0.012247839531197477, 0.012247816114829259, 0.012247797302682186, 0.012247782392169297, 0.012247770751976302, 0.012247761818860725, 0.012247755094529958, 0.012247750142625089, 0.012247746585846223, 0.012247744103261526, 0.012247742427846322, 0.012247741344299618, 0.012247740687183904, 0.012247740339429996, 0.012247740231242168, 0.012247740285004657, 0.012247740453898839, 0.012247740760772353, 0.012247741243795893, 0.01224774195659868, 0.012247742968455325, 0.012247744364521387, 0.012247746246114129, 0.012247748731034671, 0.012247751953927119, 0.012247756066669949, 0.012247761238794775, 0.012247767657927532, 0.012247775530247218, 0.01224778508095751, 0.012247796554766923, 0.012247810216373688, 0.012247826350952111, 0.012247845264637763, 0.01224786728500989, 0.012247892761569824, 0.012247922066215796, 0.012247955593714759, 0.012247993762173445, 0.012248037013511553, 0.012248085813941153, 0.012248140654457423, 0.012248202051346729, 0.012248270546719339, 0.012248346709074744, 0.012248431133908775, 0.012248524444372544, 0.012248627291994283, 0.012248740357475944, 0.012248864351577522, 0.012249000016103002, 0.012249148125002739, 0.012249309485608227, 0.012249484940016257, 0.012249675366640773, 0.012249881681951923, 0.012250104842423384, 0.012250345846710774, 0.01225060573808546, 0.012250885607150836, 0.012251186594869887, 0.012251509895936177, 0.012251856762523284, 0.012252228508451517, 0.012252626513814886, 0.012253052230116265, 0.012253507185964171, 0.01225399299339114, 0.012254511354861065, 0.012255064071041429, 0.012255653049426501, 0.012256280313908668, 0.012256948015408902, 0.012257658443692266, 0.012258414040512729, 0.012259217414252259, 0.012260071356243445, 0.012260978858993556, 0.012261943136561081, 0.012262967647375111, 0.012264056119833801, 0.012265212581072731, 0.012266441389358161, 0.012267747270636684, 0.012269135359863672, 0.01227061124784154, 0.012272181034429173, 0.012273851389140267, 0.012275629620337505, 0.012277523754458329, 0.012279542626986672, 0.01228169598722496, 0.012283994619338002, 0.01228645048265397, 0.012289076874843796, 0.012291888622390897, 0.012294902303751585, 0.012298136511848511, 0.012301612164108479, 0.012305352870250232, 0.012309385370577493, 0.012313740060814246, 0.012318451623770238, 0.012323559793672903, 0.012329110286295865, 0.012335155937681296, 0.01234175810717405, 0.012348988417910094, 0.012356930931625756, 0.012365684887284265, 0.01237536817838567, 0.012386121807643995, 0.012398115648609272, 0.01241155597501163, 0.01242669541073827, 0.012443846239147642, 0.012463398442800408, 0.012485844511004403, 0.012511814100330851, 0.012542123317721128, 0.012577846170843277, 0.012620420427597541, 0.012671808321445899, 0.012734747329020401, 0.012813153982524033, 0.012912798020195862, 0.013042476143177592, 0.013216159278790949, 0.013457160041748304, 0.01380682419454886, 0.014344351385868991, 0.015237448314119603, 0.016892655073361643, 0.020501180156523115, 0.030613159354497321, 0.067023492035281809, 0.072213815565280406, 0.030378262252234209, 0.019339171971993373, 0.01576580436993719, 0.014252691902867728, 0.013490847800289222, 0.013060398777730646, 0.0125080758313927, 0.012320761354192441, 0.012240033839800712, 0.012200148331901518, 0.012178703350780782, 0.012166546846550139, 0.012159444353658275, 0.012155250641531869, 0.012152801294430238, 0.012151429135450776, 0.012150734905916501, 0.012150471009497822, 0.012150479264737044, 0.01215065602292013, 0.012150931854238227, 0.012151259322513033, 0.012151605416235028, 0.012151946745725966, 0.012152266429607227, 0.012152552038714699, 0.012152794217084666, 0.012152985746093786, 0.012153120905670145, 0.012153195040916418, 0.012153204277746523, 0.012153145355737045, 0.012153015565941746, 0.012152812800383947, 0.012152535743084093, 0.012152184266519754, 0.012151760153818011, 0.012151268367404822, 0.012150719272833335, 0.012150132594132022, 0.012149544628753004, 0.012149021866084374, 0.012148687834103767, 0.012148778980357884, 0.01214976922251405, 0.012152672947798253, 0.012159872123019009, 0.012177760955846176, 0.01222741051333353, 0.012407572481044871, 0.013729431690889606, 0.035980938539735628, 0.013490626954872792, 0.012627289804627951, 0.01241587306842193, 0.012329472183337868, 0.012284488701384133, 0.012257486292038263, 0.012239681510171499, 0.01222713301184084, 0.01221783959261165, 0.012210689136064153, 0.012205019559614443, 0.012200414762988982, 0.012196601578333069, 0.012193394138066466, 0.012190662149111466, 0.012188311950543897, 0.012186274753618767, 0.012184499091218479, 0.012182945825985709, 0.012181584764082423, 0.01218039230520653, 0.012179349778308065, 0.012178442241299645, 0.012177657601136887, 0.012176985959189132, 0.012176419117707738, 0.012175950203269639, 0.012175573376366161, 0.012175283605267038, 0.012175076488426641, 0.012174948113966463, 0.012174894947775759, 0.012174913743920178, 0.012175001472600758, 0.012175155262040507, 0.012175372351514604, 0.012175650053366445, 0.012175985722323932, 0.012176376730789761, 0.012176820449055324, 0.012177314229601912, 0.01217785539481935, 0.012178441227604047, 0.012179068964402063, 0.012179735790346051, 0.012180438836201287, 0.012181175176889495, 0.012181941831402325, 0.012182735763951144, 0.012183553886227758, 0.012184393060673131, 0.012185250104669086, 0.012186121795581459, 0.012187004876594239, 0.012187896063281609, 0.012188792050870064, 0.012189689522146248, 0.012190585155967291, 0.012191475636330114, 0.012192357661955019, 0.012193227956335852, 0.012194083278205708, 0.01219492043236289, 0.012195736280797082, 0.012196527754050687, 0.012197291862745227, 0.012198025709197804, 0.012198726499047682, 0.012199391552809176, 0.012200018317263335, 0.012200604376598187, 0.012201147463205941, 0.012201645468044298, 0.01220209645047045, 0.012202498647457568, 0.012202850482107192, 0.01220315057137554, 0.012203397732937315, 0.012203590991118342, 0.012203729581836253, 0.012203812956498057, 0.012203840784814051, 0.012203822231006224, 0.012203766623969374, 0.012203674126696665, 0.012203545010289113, 0.012203379653128019, 0.012203178539724465, 0.012202942259253434, 0.012202671503782554, 0.012202367066207271, 0.012202029837905975, 0.012201660806130462, 0.012201261051148389, 0.012200831743155697, 0.01220037413897811, 0.01219988957858143, 0.012199379481411417, 0.01219884534258367, 0.012198288728944916, 0.012197711275026335, 0.012197114678909561, 0.012196500698025366, 0.012195871144904152, 0.012195227882896663, 0.012194572821881701, 0.012193907913976544, 0.012193235149264276, 0.01219255655155011, 0.01219187417415726, 0.012191190095770679, 0.012190506416334899, 0.012189825253009845, 0.012189148736186215, 0.0121884790055593, 0.012187818206257913, 0.012187168485022094, 0.012186531986420654, 0.012185910849097162, 0.012185307202029684, 0.012184723160787258, 0.01218416082376308, 0.012183622268361591, 0.012183109547114076, 0.012182624683694651, 0.012182169668805993, 0.012181746455902006, 0.012181356956712262, 0.012181003036531428, 0.012180686509235442, 0.012180409131985129, 0.012180172599577833, 0.012179978538407809, 0.012179828499997457, 0.012179723954063967, 0.012179666281089286, 0.012179656764366538, 0.012179696581502848, 0.012179786795366942, 0.012179928344481094, 0.012180122032869995, 0.012180368519395062, 0.01218066830662138, 0.012181021729285986, 0.012181428942460524, 0.012181889909528688, 0.012182404390128489, 0.012182971928241488, 0.012183591840644359, 0.012184263205972413, 0.012184984854678079, 0.012185755360199078, 0.012186573031678888, 0.012187435908604629, 0.012188341757742088, 0.012189288072752566, 0.012190272076868701, 0.012191290728984776, 0.012192340733479249, 0.012193418554032127, 0.012194520431626645, 0.01219564240683369, 0.012196780346370586, 0.012197929973804349, 0.012199086904138439, 0.012200246681885208, 0.012201404822089854, 0.012202556853642216, 0.012203698364096627, 0.012204825045124802, 0.012205932737657606, 0.012207017475734378, 0.012208075528076422, 0.012209103436436421, 0.012210098049847101, 0.012211056553998656, 0.012211976495110011, 0.012212855797818473, 0.012213692776787308, 0.012214486141914126, 0.012215234997204449, 0.012215938833547858, 0.012216597515790392, 0.012217211264630483, 0.012217780633972476, 0.01221830648444887, 0.012218789953869012, 0.012219232425368619, 0.012219635494023832, 0.012220000932658431, 0.012220330657517663, 0.012220626694411662, 0.012220891145849889, 0.012221126159600665, 0.012221333899020323, 0.012221516515408634, 0.012221676122564518, 0.012221814773640014, 0.012221934440323746, 0.01222203699432815, 0.012222124191108488, 0.012222197655705475, 0.012222258870578125, 0.012222309165277077, 0.012222349707801691, 0.01222238149748465, 0.012222405359255615, 0.012222421939148603, 0.01222243170093614, 0.012222434923795357], [0.010466083355779587, 0.010466060022548962, 0.010465990077955208, 0.010465873687097971, 0.010465711124496188, 0.010465502773123747, 0.010465249123072362, 0.01046495076985415, 0.010464608412359955, 0.010464222850492892, 0.010463794982499035, 0.01046332580202056, 0.010462816394898856, 0.010462267935757464, 0.010461681684396675, 0.010461058982033507, 0.010460401247422044, 0.010459709972890318, 0.01045898672033105, 0.01045823311718385, 0.01045745085244745, 0.010456641672760095, 0.010455807378587196, 0.010454949820554373, 0.010454070895964561, 0.01045317254553731, 0.010452256750408102, 0.010451325529425527, 0.010450380936783677, 0.010449425060027072, 0.010448460018465545, 0.010447487962036244, 0.010446511070650531, 0.010445531554063669, 0.010444551652305853, 0.010443573636713586, 0.01044259981160147, 0.010441632516614941, 0.0104406741298052, 0.010439727071468254, 0.010438793808789839, 0.010437876861337398, 0.010436978807438985, 0.010436102291485451, 0.010435250032187747, 0.010434424831812965, 0.01043362958641166, 0.010432867297032414, 0.010432141081897217, 0.010431454189480664, 0.010430810012394921, 0.010430212101928802, 0.010429664183019511, 0.010429170169346403, 0.010428734178122932, 0.010428360544022065, 0.010428053831496463, 0.010427818844543678, 0.01042766063271453, 0.010427584491868218, 0.010427595957840756, 0.010427700790820763, 0.010427904947830833, 0.010428214540317495, 0.010428635773494746, 0.010429174863820796, 0.01042983793089005, 0.010430630860192419, 0.010431559133751099, 0.010432627626736406, 0.010433840369909733, 0.010435200280299338, 0.010436708865916593, 0.010438365914551669, 0.010440169181552586, 0.010442114096596018, 0.010444193514173694, 0.010446397535993249, 0.010448713434730689, 0.01045112570658664, 0.010453616274140312, 0.010456164850816567, 0.01045874946437278, 0.010461347120520003, 0.010463934571243123, 0.010466489138167759, 0.01046898953198558, 0.010471416606408247, 0.01047375399015363, 0.010475988552478182, 0.010478110674877141, 0.010480114321043853, 0.010481996916039399, 0.01048375906129252, 0.010485404122807782, 0.010486937735145892, 0.010488367263686696, 0.01048970126345148, 0.010490948965776894, 0.010492119815863782, 0.010493223075921891, 0.010494267501197543, 0.010495261090128816, 0.010496210905409574, 0.010497122959797262, 0.01049800215885164, 0.010498852292148544, 0.010499676064572673, 0.010500475159781711, 0.010501250328630982, 0.010502001496091044, 0.010502727880877994, 0.010503428122595753, 0.010504100411652933, 0.010504742617587319, 0.01050535241175578, 0.010505927380684415, 0.01050646512678545, 0.010506963353686094, 0.010507419934117331, 0.010507832959186404, 0.010508200768885116, 0.010508521964809829, 0.010508795407202828, 0.01050902019945792, 0.010509195664048251, 0.010509321314320842, 0.01050939682667792, 0.010509422017290257, 0.010509422150074841, 0.010509422568236433, 0.010509423331458021, 0.010509424540069099, 0.010509426336308154, 0.010509428906043035, 0.010509432480905008, 0.010509437340784068, 0.010509443816627323, 0.010509452293479762, 0.010509463213707446, 0.010509477080347052, 0.010509494460532622, 0.010509515988960064, 0.010509542371361875, 0.010509574387978777, 0.010509612897029957, 0.010509658838200377, 0.010509713236180414, 0.010509777204310284, 0.010509851948399103, 0.01050993877080523, 0.010510039074881706, 0.010510154369907238, 0.01051028627664023, 0.010510436533650932, 0.010510607004605401, 0.010510799686695275, 0.010511016720430135, 0.010511260401035855, 0.010511533191732939, 0.010511837739206204, 0.010512176891621785, 0.010512553719601633, 0.010512971540632443, 0.010513433947467253, 0.010513944841178199, 0.01051450846964264, 0.010515129472397529, 0.010515812932986091, 0.010516564440156447, 0.010517390159565203, 0.010518296918007018, 0.010519292302654002, 0.010520384778374255, 0.010521583826943244, 0.010522900112913992, 0.010524345682137408, 0.010525934200512215, 0.010527681242616115, 0.010529604642594996, 0.010531724923299205, 0.010534065824485508, 0.01053665495741996, 0.010539524622094509, 0.010542712835491328, 0.010546264636339123, 0.010550233755764124, 0.010554684777416, 0.010559695960076202, 0.010565362968303935, 0.010571803864878302, 0.010579165883014417, 0.010587634750349175, 0.010597447737879651, 0.010608912255349885, 0.010622432889135185, 0.010638551610629061, 0.010658009106452256, 0.010681841058502615, 0.010711534357944764, 0.010749290419996666, 0.010798489309509452, 0.010864552404938945, 0.010956651975034332, 0.01109137794631597, 0.011301431450340313, 0.011659132200461272, 0.012352584230145262, 0.014007736975027597, 0.019779282694890044, 0.056844511784460115, 0.031588625483525909, 0.015088205828303032, 0.012205578687724237, 0.011303814943747239, 0.010923342644484493, 0.010732637049293706, 0.010625836833432279, 0.01056124465085284, 0.010519925795661555, 0.010492349964450812, 0.010473331290415468, 0.010459870012762395, 0.010450143411329332, 0.01044299827006924, 0.010437679894623523, 0.01043368005716753, 0.01043064801071493, 0.01042833650224918, 0.010426567980440338, 0.010425212858052904, 0.010424175187736473, 0.010423383018692483, 0.010422781779156509, 0.010422329656481469, 0.010421994321307365, 0.010421750571808422, 0.01042157861771973, 0.010421462815659652, 0.010421390727009013, 0.010421352409144836, 0.01042133987739925, 0.010421346693231743, 0.010421367646620664, 0.010421398509436599, 0.010421435842757015, 0.01042147684551486, 0.010421519235078327, 0.01042156115269805, 0.010421601088482342, 0.010421637821843488, 0.010421670374322619, 0.010421697972432207, 0.01042172001871816, 0.010421736069682126, 0.010421745819552894, 0.010421749089179089, 0.010421745819552892, 0.010421736069682122, 0.010421720018718158, 0.010421697972432207, 0.010421670374322626, 0.010421637821843494, 0.010421601088482346, 0.010421561152698053, 0.010421519235078324, 0.010421476845514862, 0.010421435842757013, 0.010421398509436604, 0.010421367646620668, 0.010421346693231743, 0.010421339877399249, 0.010421352409144834, 0.010421390727009015, 0.010421462815659652, 0.01042157861771973, 0.010421750571808424, 0.010421994321307368, 0.010422329656481473, 0.010422781779156511, 0.010423383018692481, 0.010424175187736468, 0.01042521285805291, 0.010426567980440339, 0.010428336502249178, 0.010430648010714933, 0.010433680057167523, 0.010437679894623525, 0.010442998270069236, 0.010450143411329334, 0.010459870012762388, 0.010473331290415472, 0.010492349964450793, 0.010519925795661548, 0.010561244650852845, 0.010625836833432281, 0.010732637049293618, 0.010923342644484286, 0.011303814943747196, 0.012205578687724086, 0.015088205828304054, 0.031588625483499159, 0.056844511784502325, 0.019779282694892413, 0.01400773697502904, 0.01235258423014508, 0.01165913220046178, 0.011301431450340602, 0.011091377946316162, 0.010956651975034331, 0.010864552404938967, 0.010798489309509459, 0.010749290419996643, 0.010711534357944755, 0.010681841058502617, 0.010658009106452261, 0.010638551610629078, 0.010622432889135192, 0.01060891225534988, 0.010597447737879656, 0.010587634750349168, 0.01057916588301442, 0.0105718038648783, 0.010565362968303946, 0.010559695960076207, 0.010554684777416003, 0.010550233755764121, 0.010546264636339123, 0.01054271283549133, 0.010539524622094506, 0.010536654957419957, 0.010534065824485508, 0.010531724923299209, 0.010529604642594999, 0.010527681242616115, 0.010525934200512215, 0.01052434568213741, 0.010522900112913991, 0.010521583826943244, 0.010520384778374251, 0.010519292302654, 0.010518296918007019, 0.010517390159565203, 0.010516564440156449, 0.010515812932986094, 0.010515129472397529, 0.010514508469642638, 0.010513944841178197, 0.010513433947467253, 0.010512971540632448, 0.010512553719601633, 0.010512176891621783, 0.010511837739206203, 0.010511533191732935, 0.010511260401035857, 0.010511016720430139, 0.010510799686695271, 0.010510607004605405, 0.01051043653365093, 0.010510286276640232, 0.010510154369907241, 0.010510039074881707, 0.010509938770805227, 0.010509851948399099, 0.010509777204310282, 0.010509713236180409, 0.010509658838200379, 0.010509612897029955, 0.01050957438797878, 0.010509542371361872, 0.010509515988960057, 0.010509494460532624, 0.010509477080347048, 0.010509463213707448, 0.010509452293479759, 0.010509443816627325, 0.010509437340784066, 0.010509432480905006, 0.010509428906043039, 0.010509426336308157, 0.010509424540069095, 0.010509423331458016, 0.010509422568236431, 0.010509422150074839, 0.010509422017290262, 0.010509422083410425, 0.010509422288396375, 0.010509422652157298, 0.010509423207984172, 0.010509424002711465, 0.010509425096939959, 0.010509426565317413, 0.01050942849687269, 0.010509430995398483, 0.010509434179877238, 0.010509438184944127, 0.010509443161381086, 0.01050944927663541, 0.010509456715356759, 0.010509465679946395, 0.010509476391113033, 0.010509489088430012, 0.01050950403088932, 0.010509521497448628, 0.010509541787568424, 0.010509565221737283, 0.010509592141984363, 0.010509622912379214, 0.010509657919520183, 0.010509697573013801, 0.010509742305948569, 0.010509792575367945, 0.010509848862747985, 0.010509911674486703, 0.010509981542412774, 0.010510059024322501, 0.010510144704554771, 0.010510239194614778, 0.010510343133858117, 0.010510457190247692, 0.010510582061196974, 0.010510718474513753, 0.010510867189459745, 0.010511028997942071, 0.010511204725854007, 0.010511395234583202, 0.010511601422707023, 0.010511824227896049, 0.010512064629048176, 0.010512323648677834, 0.010512602355586638, 0.0105129018678443, 0.010513223356111337, 0.010513568047338152, 0.010513937228878818, 0.010514332253061929, 0.010514754542265742, 0.010515205594550487, 0.010515686989906839, 0.010516200397187285, 0.01051674758179545, 0.010517330414218243, 0.01051795087949747, 0.010518611087750309, 0.010519313285863842, 0.010520059870506443, 0.010520853402619688, 0.01052169662357874, 0.010522592473237436, 0.010523544110107572, 0.010524554933960893, 0.010525628611188236, 0.010526769103304417, 0.010527980699051835, 0.010529268050631818, 0.01053063621468371, 0.010532090698740134, 0.010533637514017055, 0.010535283235553741, 0.010537035070906905, 0.010538900938832375, 0.010540889559666495, 0.010543010559460348, 0.010545274590337888, 0.010547693470064571, 0.010550280344451343, 0.010553049877013086, 0.010556018471294136, 0.010559204532522513, 0.010562628776834261, 0.010566314598317857, 0.010570288506700064, 0.010574580651805566, 0.01057922545521741, 0.010584262375174482, 0.01058973683812495, 0.010595701380149831, 0.01060221705457778, 0.010609355179810129, 0.010617199525502774, 0.010625849068483406, 0.010635421496057715, 0.010646057699555261, 0.010657927593982623, 0.010671237734166237, 0.010686241395149792, 0.010703252078851538, 0.01072266185519281, 0.010744966635316303, 0.010770801561650837, 0.010800991452796465, 0.010836624139496829, 0.01087915945270604, 0.010930595253503733, 0.010993727543512409, 0.011072571204606394, 0.011173066102419325, 0.011304314065909352, 0.011480858451992289, 0.011727147824506817, 0.012086947971607314, 0.012645107160292757, 0.013584204658721951, 0.015356913205674387, 0.019334325424972435, 0.031007867783635096, 0.073118368170529843, 0.062593947141441786, 0.026084231173891158, 0.01681038501662999, 0.013701982025749774, 0.012352942509834323, 0.011662428566424023, 0.010864050253808823, 0.010620463740324208, 0.010521066147013926, 0.010473501673934286, 0.010448419220079866, 0.010434356724302044, 0.010426176084264448, 0.010421334302502767, 0.010418475434439495, 0.010416833329802812, 0.010415954580857765, 0.010415560539253403, 0.010415474502635297, 0.010415581403234063, 0.010415804570843642, 0.010416091869343756, 0.010416407177252519, 0.010416725016519274, 0.01041702709011158, 0.010417300006974037, 0.010417533763167447, 0.010417720715711719, 0.010417854885535427, 0.010417931487429146, 0.01041794662450612, 0.010417897112155851, 0.010417780418214192, 0.010417594727111771, 0.010417339161431444, 0.010417014232135997, 0.010416622651603478, 0.010416170755986543, 0.010415670994760482, 0.010415146360914932, 0.010414638490848404, 0.010414223017390188, 0.010414040026081433, 0.010414358007640772, 0.010415718113217705, 0.010419290862144116, 0.010427872228611237, 0.010449175485516814, 0.010509813036573407, 0.010746171692185101, 0.012969338224183941, 0.020576993204863635, 0.011447239734023573, 0.01082718558435081, 0.010654660779272575, 0.010580295322927268, 0.010540431241124229, 0.010516059093319168, 0.010499786073648903, 0.010488212695265118, 0.010479582584896131, 0.010472906921300734, 0.010467591080726771, 0.010463258367427019, 0.010459659880259414, 0.010456625360542857, 0.010454034926937571, 0.010451802080548986, 0.010449863090700154, 0.010448170144756653, 0.010446686798882568, 0.010445384879825069, 0.01044424232726728, 0.010443241660975495, 0.010442368872195278, 0.010441612608891419, 0.010440963568211059, 0.010440414037509595, 0.010439957543507098, 0.01043958858125184, 0.010439302402751933, 0.01043909485075608, 0.010438962227080821, 0.01043890118764852, 0.010438908658379707, 0.010438981767516869, 0.010439117791006571, 0.010439314108343556, 0.010439568166861587, 0.010439877452894519, 0.010440239468565281, 0.01044065171321755, 0.010441111668704546, 0.010441616787904834, 0.010442164485958248, 0.010442752133812194, 0.010443377053746494, 0.010444036516607207, 0.010444727740530254, 0.010445447890976076, 0.010446194081929412, 0.010446963378144717, 0.01044775279833879, 0.010448559319249181, 0.010449379880489858, 0.010450211390145899, 0.010451050731056174, 0.010451894767738099, 0.010452740353911708, 0.010453584340581719, 0.010454423584635952, 0.010455254957917572, 0.010456075356725918, 0.010456881711697688, 0.010457670998016375, 0.010458440245893701, 0.010459186551261865, 0.010459907086611334, 0.01046059911190402, 0.010461259985487451, 0.010461887174931902, 0.010462478267709224, 0.010463030981629554, 0.010463543174951028, 0.010464012856076323, 0.010464438192751521, 0.010464817520683687, 0.010465149351497215, 0.010465432379952976, 0.010465665490359825, 0.010465847762114898, 0.010465978474316646, 0.010466057109403328, 0.010466083355779587, 0.010466065856691766, 0.010466013410772558, 0.010465926171899601, 0.010465804396019931, 0.010465648440380013, 0.010465458762455176, 0.010465235918585484, 0.010464980562327265, 0.010464693442531146, 0.010464375401159059, 0.010464027370854414, 0.010463650372280775, 0.010463245511245632, 0.010462813975626794, 0.01046235703211976, 0.010461876022824961, 0.01046137236169392, 0.010460847530853929, 0.010460303076830275, 0.010459740606684975, 0.010459161784090483, 0.010458568325355929, 0.010457961995422777, 0.010457344603845285, 0.010456718000770226, 0.010456084072928697, 0.010455444739651114, 0.010454801948914861, 0.010454157673432048, 0.010453513906782855, 0.010452872659597717, 0.010452235955789386, 0.010451605828833499, 0.010450984318093971, 0.010450373465186891, 0.010449775310374047, 0.010449191888974842, 0.010448625227782345, 0.010448077341466896, 0.010447550228947942, 0.010447045869712073, 0.010446566220052892, 0.010446113209205568, 0.010445688735346953, 0.010445294661429612, 0.010444932810816437, 0.01044460496268073, 0.010444312847135458, 0.01044405814005458, 0.010443842457549177, 0.010443667350061654, 0.010443534296042759, 0.010443444695178505, 0.01044339986113804, 0.01044340101381825, 0.010443449271068179, 0.010443545639884489, 0.010443691007080355, 0.010443886129443027, 0.010444131623410895, 0.010444427954319139, 0.010444775425283945, 0.010445174165818895, 0.010445624120303395, 0.010446125036451651, 0.010446676453961176, 0.01044727769355156, 0.010447927846636436, 0.010448625765903094, 0.010449370057103401, 0.010450159072385364, 0.010450990905514688, 0.010451863389348004, 0.010452774095922011, 0.01045372033951374, 0.010454699183003756, 0.010455707447836006, 0.010456741727812753, 0.01045779840689111, 0.010458873681059026, 0.010459963584264979, 0.010461064018259005, 0.010462170786077475, 0.010463279628774209, 0.010464386264871907, 0.010465486431886994, 0.010466575929173372, 0.010467650661243741, 0.010468706680665865, 0.010469740229600304, 0.01047074777904922, 0.010471726064923834, 0.01047267212011059, 0.010473583301820502, 0.010474457313638099, 0.010475292221839419, 0.010476086465715909, 0.01047683886181474, 0.010477548602177355, 0.010478215246820237, 0.010478838710847614, 0.010479419246709238, 0.01047995742221451, 0.01048045409498375, 0.010480910384058127, 0.010481327639402811, 0.010481707410024743, 0.010482051411391337, 0.010482361492782276, 0.010482639605138658, 0.01048288776989586, 0.010483108049203486, 0.010483302517851014, 0.010483473237135112, 0.010483622230826715, 0.010483751463324986, 0.010483862820022756, 0.010483958089855127, 0.010484038949959725, 0.010484106952343981, 0.010484163512431279, 0.01048420989934308, 0.01048424722776807, 0.010484276451270098, 0.01048429835689421, 0.010484313560943077, 0.010484322505813073, 0.010484325457800654], [0.010407302959500564, 0.010407280680183185, 0.010407213894930503, 0.01040710276165459, 0.010406947542922929, 0.010406748605035567, 0.010406506416745641, 0.010406221547635061, 0.010405894666161028, 0.010405526537391829, 0.010405118020453125, 0.010404670065708943, 0.010404183711703803, 0.010403660081894646, 0.01040310038120309, 0.01040250589242041, 0.010401877972498776, 0.010401218048763473, 0.010400527615081912, 0.010399808228025536, 0.010399061503061482, 0.010398289110810803, 0.010397492773410478, 0.010396674261016004, 0.01039583538848146, 0.010394978012253711, 0.010394104027516915, 0.010393215365623657, 0.010392313991848375, 0.01039140190349892, 0.010390481128421985, 0.010389553723937925, 0.010388621776241098, 0.010387687400301909, 0.010386752740307306, 0.01038581997067687, 0.010384891297692676, 0.010383968961781318, 0.010383055240487268, 0.010382152452177114, 0.010381262960514039, 0.010380389179741144, 0.010379533580810674, 0.010378698698392769, 0.010377887138792556, 0.010377101588796263, 0.010376344825455941, 0.010375619726806045, 0.0103749292834831, 0.01037427661118955, 0.010373664963903099, 0.010373097747680337, 0.010372578534835896, 0.01037211107819193, 0.010371699324983307, 0.010371347429868262, 0.010371059766326988, 0.010370840935528314, 0.010370695771503912, 0.010370629341188787, 0.010370646937567174, 0.010370754063811589, 0.010370956405931341, 0.0103712597910799, 0.010371670128343174, 0.010372193328596891, 0.010372835199953157, 0.010373601315508799, 0.010374496850676328, 0.010375526388451409, 0.010376693692680255, 0.010378001451845316, 0.010379450999143312, 0.010381042018641184, 0.010382772251871696, 0.010384637223984914, 0.01038663001290345, 0.010388741088032826, 0.010390958246025666, 0.010393266668984729, 0.010395649124648831, 0.01039808631835281, 0.010400557393398622, 0.01040304056121936, 0.010405513827369555, 0.010407955766342663, 0.010410346289836342, 0.010412667351079529, 0.010414903532857444, 0.010417042478303894, 0.01041907513958999, 0.010420995837774411, 0.010422802144552098, 0.010424494611084776, 0.01042607637896205, 0.010427552713044888, 0.010428930495812861, 0.010430217718861099, 0.010431423000694454, 0.010432555152295065, 0.010433622804245292, 0.010434634102298359, 0.010435596472683968, 0.010436516454287118, 0.010437399592087407, 0.010438250384690758, 0.010439072278154339, 0.010439867698318277, 0.010440638114259838, 0.010441384126072798, 0.010442105570796563, 0.010442801640882245, 0.010443471010041363, 0.010444111961674081, 0.010444722515347036, 0.010445300547038468, 0.010445843899155696, 0.010446350476725392, 0.010446818326719117, 0.010447245698245934, 0.010447631082329574, 0.010447973231164422, 0.010448271158045246, 0.010448524120487232, 0.010448731590265548, 0.010448893215064295, 0.010449008777002096, 0.010449078153393881, 0.010449101284667365, 0.010449101445335621, 0.010449101943891819, 0.010449102830287042, 0.010449104188753841, 0.010449106139247925, 0.010449108839409285, 0.010449112486989048, 0.010449117322678107, 0.010449123633266269, 0.010449131755057269, 0.010449142077465367, 0.01044915504672298, 0.010449171169636539, 0.010449191017338268, 0.010449215228994699, 0.01044924451544847, 0.010449279662786319, 0.010449321535844679, 0.010449371081681983, 0.010449429333065698, 0.010449497412039823, 0.010449576533656236, 0.010449668009970372, 0.010449773254418137, 0.010449893786707153, 0.010450031238371717, 0.010450187359157778, 0.010450364024422088, 0.010450563243749609, 0.010450787171016232, 0.010451038116150165, 0.010451318558877522, 0.010451631164775972, 0.010451978804007143, 0.010452364573156177, 0.010452791820677218, 0.010453264176530728, 0.010453785586705721, 0.010454360353452704, 0.010454993182217131, 0.010455689236467289, 0.01045645420186435, 0.010457294361539896, 0.010458216684644828, 0.010459228930836334, 0.010460339774006745, 0.010461558949370918, 0.01046289742907057, 0.010464367632799499, 0.010465983681701971, 0.010467761706086291, 0.010469720220516796, 0.01047188058386779, 0.010474267567319572, 0.010476910060589022, 0.010479841956694741, 0.010483103269399687, 0.01048674155684147, 0.010490813752290436, 0.010495388542337981, 0.010500549490108877, 0.010506399185764596, 0.010513064833802523, 0.010520705881344371, 0.010529524595446867, 0.010539780982053442, 0.010551814230761656, 0.010566074197309162, 0.010583168729585141, 0.010603936739855161, 0.010629564522658333, 0.010661777520444523, 0.010703169632484712, 0.010757796538271054, 0.010832307886843669, 0.01093826431978679, 0.011097311464928915, 0.01135410354255708, 0.011813798250277376, 0.012776451454618878, 0.015402364002821564, 0.027303636432570322, 0.067380969375246361, 0.020340878578315964, 0.013310406503066868, 0.011654619420820191, 0.011050984166848809, 0.010773394622613742, 0.010626386573340715, 0.010540837643791847, 0.010487602768047678, 0.010452784649133249, 0.01042912561825575, 0.010412560523583391, 0.010400682264303247, 0.010391999666131736, 0.01038555374946365, 0.010380708077095359, 0.010377028795231013, 0.010374213243388497, 0.010372046005362668, 0.010370371044082029, 0.010369073570903097, 0.010368067975335628, 0.010367289623710136, 0.010366689183765401, 0.010366228631922221, 0.010365878402124112, 0.010365615322066112, 0.010365421100783385, 0.01036528120770306, 0.010365184033193616, 0.010365120253930785, 0.01036508234892187, 0.010365064227484115, 0.01036506094121439, 0.010365068459543702, 0.010365083493846241, 0.010365103358939172, 0.010365125863617944, 0.010365149223933149, 0.010365171994441849, 0.010365193013809677, 0.010365211362004462, 0.010365226326984551, 0.010365237379299876, 0.010365244153430774, 0.010365246435020164, 0.010365244153430771, 0.010365237379299877, 0.010365226326984551, 0.01036521136200446, 0.010365193013809684, 0.010365171994441849, 0.01036514922393315, 0.010365125863617947, 0.010365103358939169, 0.010365083493846242, 0.010365068459543703, 0.0103650609412144, 0.010365064227484115, 0.010365082348921872, 0.010365120253930785, 0.010365184033193612, 0.010365281207703064, 0.010365421100783383, 0.010365615322066108, 0.010365878402124109, 0.010366228631922223, 0.010366689183765406, 0.010367289623710137, 0.010368067975335628, 0.010369073570903097, 0.010370371044082036, 0.010372046005362668, 0.010374213243388497, 0.010377028795231018, 0.010380708077095355, 0.010385553749463653, 0.01039199966613173, 0.010400682264303251, 0.010412560523583386, 0.010429125618255753, 0.010452784649133228, 0.010487602768047671, 0.010540837643791852, 0.010626386573340715, 0.010773394622613628, 0.011050984166848486, 0.011654619420820161, 0.013310406503066486, 0.02034087857831993, 0.067380969375212846, 0.027303636432585505, 0.015402364002822497, 0.012776451454619565, 0.011813798250277259, 0.011354103542557442, 0.011097311464929129, 0.010938264319786934, 0.010832307886843669, 0.010757796538271072, 0.010703169632484718, 0.010661777520444506, 0.01062956452265832, 0.010603936739855166, 0.010583168729585139, 0.010566074197309176, 0.010551814230761666, 0.010539780982053439, 0.010529524595446871, 0.010520705881344366, 0.010513064833802526, 0.010506399185764591, 0.01050054949010888, 0.01049538854233798, 0.010490813752290438, 0.010486741556841468, 0.010483103269399689, 0.010479841956694741, 0.010476910060589017, 0.010474267567319576, 0.010471880583867789, 0.010469720220516799, 0.010467761706086293, 0.010465983681701973, 0.010464367632799501, 0.010462897429070573, 0.01046155894937092, 0.010460339774006747, 0.010459228930836331, 0.010458216684644828, 0.010457294361539898, 0.010456454201864354, 0.010455689236467291, 0.010454993182217133, 0.010454360353452706, 0.010453785586705721, 0.01045326417653073, 0.010452791820677222, 0.010452364573156176, 0.010451978804007141, 0.01045163116477597, 0.01045131855887752, 0.010451038116150163, 0.010450787171016235, 0.010450563243749612, 0.010450364024422088, 0.01045018735915778, 0.010450031238371715, 0.010449893786707153, 0.01044977325441814, 0.010449668009970371, 0.010449576533656236, 0.010449497412039821, 0.0104494293330657, 0.010449371081681983, 0.010449321535844679, 0.010449279662786321, 0.01044924451544847, 0.010449215228994699, 0.010449191017338259, 0.010449171169636539, 0.010449155046722973, 0.010449142077465367, 0.010449131755057267, 0.010449123633266269, 0.010449117322678111, 0.010449112486989048, 0.010449108839409284, 0.010449106139247929, 0.010449104188753841, 0.010449102830287037, 0.010449101943891818, 0.010449101445335621, 0.01044910128466737, 0.01044910136478589, 0.01044910161081513, 0.01044910203981453, 0.010449102680343825, 0.01044910357265191, 0.010449104768936958, 0.010449106333673762, 0.010449108344003056, 0.010449110890176945, 0.010449114076053744, 0.010449118019634909, 0.010449122853636647, 0.01044912872608824, 0.010449135800949631, 0.010449144258740408, 0.010449154297173417, 0.010449166131786113, 0.010449179996564086, 0.010449196144551495, 0.010449214848444598, 0.010449236401165234, 0.010449261116412608, 0.010449289329192582, 0.01044932139632517, 0.010449357696932051, 0.010449398632907102, 0.01044944462937434, 0.010449496135138566, 0.010449553623135427, 0.010449617590888497, 0.010449688560982048, 0.010449767081559159, 0.010449853726855862, 0.010449949097782588, 0.010450053822565326, 0.010450168557459656, 0.010450293987551347, 0.010450430827658522, 0.010450579823350646, 0.010450741752101018, 0.010450917424589952, 0.010451107686177189, 0.010451313418563049, 0.01045153554165928, 0.010451775015692008, 0.010452032843560949, 0.010452310073481037, 0.010452607801934985, 0.010452927176967868, 0.010453269401858091, 0.010453635739202457, 0.010454027515457463, 0.010454446125983514, 0.010454893040644406, 0.010455369810020827, 0.010455878072303986, 0.010456419560943961, 0.010456996113137502, 0.010457609679251093, 0.010458262333288724, 0.010458956284528954, 0.010459693890473907, 0.010460477671273725, 0.01046131032581412, 0.010462194749683443, 0.010463134055268787, 0.01046413159426997, 0.010465190982966331, 0.010466316130625859, 0.010467511271510693, 0.010468781001009772, 0.010470130316520904, 0.010471564663813715, 0.010473089989736213, 0.01047471280228543, 0.010476440239253561, 0.010478280146892052, 0.010480241170318127, 0.010482332857732538, 0.010484565780940204, 0.010486951675187402, 0.010489503601975423, 0.01049223613931622, 0.010495165604903088, 0.010498310318938348, 0.010501690914964827, 0.010505330709092136, 0.01050925614062599, 0.01051349730048459, 0.010518088568167274, 0.010523069383770806, 0.01052848518909818, 0.010534388581934409, 0.010540840741001062, 0.010547913197270543, 0.01055569005212679, 0.010564270777077649, 0.010573773777451292, 0.010584340969869087, 0.010596143719570364, 0.010609390623180727, 0.010624337827680273, 0.010641302882880959, 0.010660683590773828, 0.010682984037155006, 0.010708851132963042, 0.010739126840559644, 0.010774924325930123, 0.010817741508055582, 0.010869634682057734, 0.010933491671908862, 0.011013475791957269, 0.011115775056490985, 0.011249923178816828, 0.011431252660737481, 0.011685742708032989, 0.012060357865790045, 0.012647299789411275, 0.013648308577253489, 0.015575242057599473, 0.020030597790199056, 0.033703169439326434, 0.080203952282703758, 0.054372389210944339, 0.023941448636934672, 0.016125632805204085, 0.013394867641399041, 0.01217727137023851, 0.010946025904927839, 0.010616085878929479, 0.010489451683887593, 0.010430818497977782, 0.010400438123956706, 0.010383527996076614, 0.010373676799717572, 0.010367785058842428, 0.010364228311583231, 0.010362100359722357, 0.010360870005512066, 0.010360213080262446, 0.010359925049403725, 0.01035987317904502, 0.0103599692193187, 0.010360153231015154, 0.010360383708535306, 0.010360631384349086, 0.010360875251622345, 0.010361099959534242, 0.010361294079144793, 0.010361448934655482, 0.010361557811469788, 0.01036161542381024, 0.010361617570344652, 0.010361560937793769, 0.010361443037262635, 0.010361262281859759, 0.010361018243112821, 0.010360712166297845, 0.010360347895697661, 0.010359933487872631, 0.010359484030947646, 0.010359026662137024, 0.010358609758393866, 0.010358320422106413, 0.010358319373830836, 0.010358914850616007, 0.010360731303770434, 0.010365133555379808, 0.010375439531034113, 0.010401070745381777, 0.010476205095454714, 0.010794951416585598, 0.014991123213669107, 0.015554771498929613, 0.011179556415065458, 0.01071815057689438, 0.010575468111381013, 0.010511013779308413, 0.010475539500025341, 0.010453483694477995, 0.010438585647519242, 0.010427900328589002, 0.010419881223685975, 0.010413646988794541, 0.010408662607644632, 0.010404586598160301, 0.010401191954904722, 0.010398322621445818, 0.010395868260122428, 0.010393748980291106, 0.010391905745853495, 0.010390294154048511, 0.01038888028622547, 0.010387637871441627, 0.01038654630458688, 0.010385589234246309, 0.010384753538705403, 0.010384028571590369, 0.010383405598170886, 0.010382877368687609, 0.010382437791635599, 0.010382081680973378, 0.010381804558707545, 0.0103816024994521, 0.010381472007157576, 0.010381409916750938, 0.010381413315251838, 0.01038147947825474, 0.010381605818637332, 0.01038178984507541, 0.010382029128483624, 0.010382321274909005, 0.01038266390371528, 0.010383054630135391, 0.010383491051455954, 0.010383970736242544, 0.01038449121612994, 0.010385049979792373, 0.010385644468781825, 0.010386272074981039, 0.010386930139464731, 0.010387615952601129, 0.010388326755256338, 0.010389059740989061, 0.010389812059143211, 0.010390580818761624, 0.010391363093256556, 0.01039215592578208, 0.010392956335260394, 0.010393761323018792, 0.010394567879997043, 0.010395372994486077, 0.010396173660358715, 0.010396966885752075, 0.01039774970215882, 0.010398519173881333, 0.010399272407799334, 0.010400006563397261, 0.010400718862993198, 0.010401406602106944, 0.010402067159900325, 0.010402698009618596, 0.010403296728958469, 0.010403861010284902, 0.010404388670616624, 0.010404877661299071, 0.010405326077282362, 0.010405732165923326, 0.010406094335231634, 0.010406411161483366, 0.010406681396129405, 0.010406903971931029, 0.010407078008262001, 0.010407202815523245, 0.010407277898625002, 0.010407302959500564, 0.010407286250811925, 0.0104072361738623, 0.010407152875852178, 0.01040703660162238, 0.010406887692917446, 0.010406706587361479, 0.010406493817153199, 0.01040625000748889, 0.010405975874723838, 0.010405672224283975, 0.010405339948341497, 0.010404980023268961, 0.010404593506887891, 0.010404181535528566, 0.010403745320918511, 0.010403286146917929, 0.010402805366120094, 0.010402304396335557, 0.010401784716978318, 0.010401247865372104, 0.010400695432994402, 0.01040012906167492, 0.010399550439764746, 0.010398961298290791, 0.010398363407109295, 0.010397758571070654, 0.010397148626206111, 0.010396535435945318, 0.010395920887371773, 0.010395306887521414, 0.010394695359727259, 0.010394088240011111, 0.010393487473520846, 0.010392895011009717, 0.010392312805351514, 0.010391742808082976, 0.010391186965962553, 0.010390647217531891, 0.010390125489663957, 0.01038962369407927, 0.010389143723809061, 0.010388687449581904, 0.010388256716107911, 0.010387853338232318, 0.010387479096928427, 0.010387135735097728, 0.010386824953143785, 0.010386548404285142, 0.010386307689571776, 0.010386104352569675, 0.010385939873678529, 0.010385815664049032, 0.010385733059068723, 0.010385693311389018, 0.010385697583470846, 0.010385746939633303, 0.010385842337597789, 0.010385984619530688, 0.010386174502600393, 0.010386412569079288, 0.010386699256039049, 0.010387034844707755, 0.010387419449580038, 0.010387853007396789, 0.010388335266138348, 0.010388865774204373, 0.01038944386998397, 0.010390068672050367, 0.010390739070244204, 0.010391453717937548, 0.010392211025794408, 0.010393009157362472, 0.010393846026841506, 0.010394719299375858, 0.010395626394208287, 0.010396564491009385, 0.010397530539658742, 0.010398521273700128, 0.010399533227622939, 0.0104005627580362, 0.010401606068701537, 0.010402659239279379, 0.010403718257522784, 0.010404779054529347, 0.010405837542539586, 0.010406889654655787, 0.010407931385754422, 0.010408958833784477, 0.010409968240588145, 0.010410956031353676, 0.010411918851816386, 0.010412853602362595, 0.010413757468263537, 0.010414627945368071, 0.010415462860710534, 0.010416260387637535, 0.010417019055217271, 0.01041773775186043, 0.010418415723244102, 0.010419052564783279, 0.010419648209031126, 0.010420202908505009, 0.01042071721452568, 0.010421191952721195, 0.010421628195883272, 0.010422027234873925, 0.010422390548266139, 0.010422719771366967, 0.010423016665219003, 0.010423283086110822, 0.010423520956052311, 0.010423732234591915, 0.010423918892272331, 0.010424082885943049, 0.010424226136074705, 0.010424350506153261, 0.01042445778417344, 0.010424549666201311, 0.010424627741935387, 0.010424693482165029, 0.010424748228002836, 0.010424793181754618, 0.010424829399284716, 0.010424857783735739, 0.010424879080469159, 0.010424893873105414, 0.01042490258055874, 0.010424905454981943], [0.010191361339932299, 0.010191340126138138, 0.010191276535015198, 0.010191170717164546, 0.010191022922997908, 0.010190833501858397, 0.010190602900801515, 0.010190331663047702, 0.010190020426121372, 0.010189669919694139, 0.010189280963152469, 0.010188854462912952, 0.010188391409510422, 0.01018789287448638, 0.010187360007106912, 0.010186794030940997, 0.010186196240331402, 0.010185567996791284, 0.010184910725360749, 0.010184225910957884, 0.010183515094759579, 0.010182779870647224, 0.010182021881752984, 0.010181242817141755, 0.010180444408664136, 0.010179628428015439, 0.010178796684035339, 0.010177951020282901, 0.010177093312921071, 0.01017622546894487, 0.010175349424787492, 0.010174467145338231, 0.010173580623406684, 0.010172691879667871, 0.010171802963123188, 0.010170915952112707, 0.010170032955915049, 0.01016915611697132, 0.010168287613770286, 0.01016742966443213, 0.010166584531027841, 0.010165754524670494, 0.010164942011412856, 0.010164149418982393, 0.010163379244379593, 0.010162634062357727, 0.010161916534790715, 0.010161229420920036, 0.01016057558844948, 0.010159958025427459, 0.010159379852817294, 0.010158844337605095, 0.010158354906228918, 0.010157915158029262, 0.010157528878315239, 0.010157200050509862, 0.01015693286667704, 0.010156731735539029, 0.01015660128686279, 0.01015654637082628, 0.010156572050672738, 0.010156683586628966, 0.010156886408715803, 0.010157186075738112, 0.010157588217443142, 0.010158098456631719, 0.010158722307965606, 0.010159465050427639, 0.010160331570966803, 0.01016132617791984, 0.010162452384464867, 0.010163712664728545, 0.010165108188280597, 0.010166638542554568, 0.010168301457038512, 0.010170092547507588, 0.010172005102545558, 0.010174029937364194, 0.01017615534061269, 0.010178367137645462, 0.010180648887995115, 0.010182982225450523, 0.010185347336693155, 0.01018772356015424, 0.010190090072516521, 0.010192426618339039, 0.010194714230774289, 0.010196935889820288, 0.010199077069549322, 0.010201126136648602, 0.010203074577699235, 0.010204917049530112, 0.010206651263182287, 0.010208277725347666, 0.010209799370194009, 0.010211221118749404, 0.010212549402817166, 0.010213791686650946, 0.010214956013565053, 0.010216050597529528, 0.010217083472662975, 0.010218062207146928, 0.010218993682884474, 0.010219883938368689, 0.010220738069658376, 0.010221560182891366, 0.010222353391147141, 0.010223119848439757, 0.010223860813942645, 0.010224576740027476, 0.010225267378201317, 0.010225931897463434, 0.010226569009936713, 0.010227177098862122, 0.010227754344212718, 0.010228298841347117, 0.010228808708353927, 0.010229282178115272, 0.010229717671706216, 0.01023011385059306, 0.01023046964620773, 0.010230784266827926, 0.010231057183203517, 0.010231288095918289, 0.010231476888904894, 0.01023162357467102, 0.010231728237484564, 0.010231790980882472, 0.010231811885350122, 0.010231812101366065, 0.010231812762526434, 0.010231813908510133, 0.010231815606575722, 0.010231817953216631, 0.010231821076409247, 0.010231825138389191, 0.010231830338878234, 0.010231836918675505, 0.010231845163522213, 0.010231855408148843, 0.010231868040418061, 0.01023188350548483, 0.010231902309907073, 0.01023192502565491, 0.010231952293984022, 0.010231984829157, 0.010232023422016767, 0.010232068943435856, 0.01023212234768538, 0.010232184675786753, 0.010232257058927397, 0.01023234072203927, 0.010232436987655262, 0.010232547280174097, 0.010232673130679635, 0.010232816182475634, 0.010232978197512798, 0.010233161063902152, 0.010233366804728364, 0.010233597588399033, 0.010233855740793286, 0.010234143759505846, 0.010234464330522695, 0.010234820347714259, 0.010235214935592742, 0.010235651475855584, 0.010236133638330053, 0.010236665417048976, 0.010237251172329976, 0.010237895679907483, 0.01023860418838648, 0.010239382486561314, 0.010240236982486632, 0.010241174796619684, 0.010242203871899619, 0.010243333104324143, 0.010244572498471056, 0.010245933353554398, 0.010247428487082752, 0.010249072505115095, 0.010250882130642054, 0.010252876604974736, 0.010255078181503605, 0.010257512737228849, 0.010260210535682109, 0.010263207186159274, 0.010266544859892082, 0.010270273845879894, 0.01027445456057218, 0.010279160171027852, 0.010284480057745337, 0.010290524442443461, 0.010297430656125772, 0.010305371754299946, 0.010314568550923584, 0.01032530673021871, 0.01033796166609008, 0.010353035227302954, 0.010371211734455679, 0.010393445473998161, 0.010421102064095586, 0.010456195502065519, 0.0105018033936797, 0.010562832921003492, 0.010647524693211332, 0.010770640511522848, 0.010960906621299296, 0.011280729818781848, 0.011888235193071696, 0.013288062737834524, 0.017841546564913456, 0.045600644506121224, 0.037753972067459229, 0.015643571389107467, 0.012151323266461995, 0.011120293768070699, 0.010697823838207257, 0.010489487056030635, 0.010373898527047908, 0.010304347917310866, 0.010259956626810951, 0.010230332935392519, 0.010209868121359867, 0.01019533725292022, 0.010184789454928657, 0.010176994403050654, 0.01017114876605725, 0.010166712367283498, 0.010163312720516649, 0.01016068731779558, 0.010158647609177443, 0.010157055885747404, 0.010155810074647881, 0.010154833517630255, 0.010154067964523157, 0.010153468685597418, 0.010153001007697077, 0.010152637823941634, 0.010152357779847, 0.010152143936304522, 0.010151982773259353, 0.010151863439827958, 0.010151777184721602, 0.010151716920000499, 0.010151676884409745, 0.010151652381794499, 0.010151639576632551, 0.010151635333400707, 0.010151637089873339, 0.010151642756921219, 0.010151650639200552, 0.010151659372480614, 0.010151667874381395, 0.010151675306073749, 0.010151681043099199, 0.010151684653943362, 0.010151685885382377, 0.010151684653943359, 0.0101516810430992, 0.010151675306073749, 0.010151667874381395, 0.010151659372480618, 0.010151650639200554, 0.010151642756921226, 0.010151637089873341, 0.010151635333400705, 0.010151639576632555, 0.010151652381794499, 0.010151676884409747, 0.010151716920000499, 0.010151777184721602, 0.010151863439827958, 0.010151982773259349, 0.010152143936304526, 0.010152357779847002, 0.010152637823941633, 0.010153001007697077, 0.010153468685597425, 0.010154067964523155, 0.010154833517630257, 0.010155810074647874, 0.010157055885747402, 0.010158647609177451, 0.010160687317795583, 0.010163312720516651, 0.0101667123672835, 0.010171148766057247, 0.010176994403050655, 0.010184789454928652, 0.010195337252920223, 0.010209868121359862, 0.01023033293539252, 0.010259956626810918, 0.010304347917310856, 0.010373898527047922, 0.010489487056030639, 0.010697823838207081, 0.011120293768070187, 0.012151323266461938, 0.015643571389106721, 0.03775397206747013, 0.045600644506163891, 0.017841546564918726, 0.013288062737834987, 0.011888235193072097, 0.011280729818781764, 0.010960906621299555, 0.010770640511523006, 0.01064752469321145, 0.01056283292100349, 0.010501803393679718, 0.010456195502065521, 0.010421102064095571, 0.010393445473998149, 0.010371211734455682, 0.010353035227302961, 0.010337961666090098, 0.010325306730218718, 0.010314568550923581, 0.010305371754299951, 0.010297430656125766, 0.010290524442443468, 0.010284480057745331, 0.010279160171027858, 0.010274454560572181, 0.010270273845879897, 0.010266544859892078, 0.01026320718615927, 0.010260210535682109, 0.010257512737228847, 0.010255078181503603, 0.010252876604974735, 0.010250882130642054, 0.010249072505115097, 0.010247428487082755, 0.010245933353554398, 0.010244572498471058, 0.01024333310432414, 0.01024220387189962, 0.010241174796619682, 0.010240236982486632, 0.010239382486561314, 0.010238604188386484, 0.010237895679907485, 0.010237251172329976, 0.010236665417048978, 0.010236133638330053, 0.010235651475855582, 0.010235214935592742, 0.010234820347714257, 0.010234464330522695, 0.010234143759505845, 0.010233855740793284, 0.01023359758839903, 0.010233366804728366, 0.010233161063902152, 0.010232978197512798, 0.010232816182475636, 0.010232673130679635, 0.010232547280174096, 0.010232436987655262, 0.010232340722039272, 0.010232257058927392, 0.01023218467578675, 0.010232122347685378, 0.010232068943435854, 0.010232023422016767, 0.010231984829157, 0.010231952293984022, 0.010231925025654906, 0.01023190230990707, 0.01023188350548483, 0.010231868040418054, 0.010231855408148841, 0.010231845163522215, 0.010231836918675503, 0.010231830338878235, 0.010231825138389194, 0.010231821076409244, 0.01023181795321663, 0.01023181560657572, 0.010231813908510129, 0.010231812762526434, 0.010231812101366063, 0.010231811885350125, 0.010231811993202352, 0.010231812321429537, 0.01023181288408815, 0.010231813704754705, 0.01023181481674678, 0.010231816263427279, 0.010231818098587076, 0.010231820386899739, 0.01023182320444122, 0.010231826639266445, 0.010231830792034028, 0.010231835776669956, 0.01023184172106081, 0.01023184876776724, 0.010231857074748283, 0.01023186681608804, 0.010231878182716344, 0.010231891383116266, 0.01023190664401202, 0.010231924211032035, 0.010231944349343056, 0.010231967344252697, 0.01023199350177875, 0.010232023149185391, 0.010232056635487484, 0.010232094331925659, 0.010232136632416254, 0.010232183953981183, 0.010232236737164425, 0.010232295446442623, 0.010232360570638531, 0.010232432623346962, 0.010232512143383886, 0.010232599695270113, 0.010232695869761756, 0.01023280128444058, 0.010232916584377872, 0.010233042442886238, 0.010233179562374493, 0.01023332867532146, 0.010233490545385309, 0.0102336659686659, 0.010233855775138615, 0.010234060830279092, 0.010234282036899738, 0.010234520337220165, 0.010234776715195419, 0.010235052199127863, 0.010235347864590853, 0.010235664837694841, 0.010236004298729876, 0.010236367486221733, 0.010236755701443324, 0.010237170313427574, 0.010237612764533634, 0.010238084576624699, 0.010238587357922964, 0.01023912281061606, 0.01023969273929887, 0.01024029906034649, 0.010240943812327104, 0.010241629167579092, 0.010242357445094729, 0.010243131124873569, 0.010243952863933209, 0.010244825514193583, 0.010245752142484429, 0.010246736052964956, 0.010247780812291085, 0.010248890277920426, 0.010250068630010078, 0.010251320407439524, 0.010252650548582879, 0.010254064437564788, 0.01025556795686642, 0.010257167547307077, 0.010258870276619278, 0.010260683918068688, 0.010262617040854648, 0.010264679114375071, 0.010266880628867213, 0.010269233235463492, 0.010271749909356457, 0.010274445140582643, 0.010277335157957449, 0.010280438192980253, 0.010283774792160026, 0.010287368188289219, 0.010291244743857939, 0.010295434483238755, 0.010299971734740768, 0.010304895909480687, 0.010310252451735455, 0.010316094005703439, 0.010322481857369762, 0.010329487728812838, 0.010337196027776543, 0.010345706690545435, 0.010355138805354545, 0.010365635273116371, 0.010377368861848223, 0.010390550155795448, 0.01040543811336248, 0.010422354267139406, 0.010441702085779547, 0.010463993773231152, 0.010489887979745103, 0.01052024384533593, 0.010556200037240745, 0.010599292994351833, 0.010651638406425998, 0.010716217937268107, 0.010797347502321019, 0.010901471941440151, 0.011038575368390448, 0.011224820590034594, 0.011487814401013432, 0.011877967025358685, 0.012495531837507842, 0.013563684655747575, 0.015662462412295373, 0.020671873687552963, 0.03676190167690898, 0.085471408617063371, 0.047189222827466647, 0.022011562092216119, 0.015369648222234527, 0.012957549388449145, 0.010927716367717862, 0.010469104476598073, 0.010305839316567894, 0.010233204251908528, 0.010196394724698042, 0.010176133103693594, 0.010164362238483575, 0.010157287269817997, 0.010152956835708543, 0.010150297758613437, 0.010148687668831344, 0.010147749811077088, 0.010147247893328756, 0.010147029239652751, 0.010146992651556944, 0.010147069536736707, 0.010147212462868472, 0.010147388018051031, 0.010147572248547515, 0.010147747682442265, 0.010147901354372013, 0.010148023477973977, 0.010148106548749753, 0.010148144742810804, 0.010148133529661051, 0.010148069453287013, 0.01014795006401281, 0.010147774010511108, 0.010147541333955866, 0.010147254054244804, 0.010146917218123001, 0.010146540722698653, 0.010146142500285109, 0.010145754192011346, 0.010145431567548985, 0.010145274438279438, 0.010145466660107733, 0.010146361653405741, 0.010148680175688738, 0.010154016578142574, 0.0101663235964113, 0.010197191028774973, 0.010291103854857675, 0.010733301057159434, 0.020085670600012633, 0.0132486872181711, 0.010813920448008964, 0.010461317308621753, 0.010342085147857364, 0.010285912147066721, 0.010254235012006714, 0.010234227248506257, 0.010220563183864434, 0.010210683387046539, 0.010203222858378769, 0.010197394554907422, 0.010192716339859822, 0.010188878242803595, 0.010185672989217524, 0.010182957393608891, 0.010180629807856455, 0.010178616381503556, 0.010176862383393269, 0.010175326546165814, 0.010173977278473108, 0.010172790066090936, 0.01017174565006369, 0.010170828724805615, 0.010170026991584664, 0.010169330459608413, 0.010168730922658159, 0.0101682215621912, 0.010167796642902986, 0.010167451276810483, 0.010167181238759563, 0.01016698282097977, 0.010166852717614111, 0.010166787932494811, 0.010166785705119629, 0.01016684345100612, 0.010166958713500086, 0.010167129124781729, 0.010167352374313252, 0.010167626183350952, 0.010167948284433983, 0.010168316404985537, 0.010168728254335698, 0.010169181513611156, 0.010169673828044578, 0.010170202801341705, 0.010170765991812587, 0.010171360910028406, 0.010171985017809467, 0.010172635728386, 0.010173310407602205, 0.010174006376057561, 0.010174720912098026, 0.010175451255584885, 0.010176194612380401, 0.010176948159498591, 0.010177709050875807, 0.010178474423720291, 0.01017924140540262, 0.01018000712085017, 0.010180768700408346, 0.010181523288130401, 0.010182268050455181, 0.010183000185229239, 0.010183716931026369, 0.010184415576713467, 0.010185093471207451, 0.010185748033363865, 0.010186376761933453, 0.010186977245519108, 0.010187547172462225, 0.01018808434058429, 0.010188586666707663, 0.010189052195877882, 0.01018947911020922, 0.010189865737276243, 0.010190210557975228, 0.010190512213782432, 0.010190769513339958, 0.010190981438304917, 0.010191147148403829, 0.010191265985641157, 0.010191337477618783, 0.010191361339932299, 0.010191345430351332, 0.010191297748477894, 0.010191218434779034, 0.010191107722896539, 0.010190965938945281, 0.010190793500537615, 0.010190590915540242, 0.010190358780571968, 0.010190097779252191, 0.010189808680211491, 0.010189492334877261, 0.010189149675048328, 0.010188781710273645, 0.010188389525051073, 0.01018797427586283, 0.010187537188064965, 0.010187079552647998, 0.010186602722886679, 0.010186108110896054, 0.010185597184111146, 0.010185071461706949, 0.010184532510974629, 0.010183981943669315, 0.010183421412343348, 0.010182852606678025, 0.010182277249825455, 0.010181697094770452, 0.010181113920721001, 0.01018052952953385, 0.010179945742180119, 0.010179364395253632, 0.010178787337522765, 0.010178216426524308, 0.010177653525195771, 0.010177100498540141, 0.010176559210314734, 0.010176031519733637, 0.010175519278170531, 0.010175024325846445, 0.010174548488484633, 0.010174093573912206, 0.010173661368586035, 0.010173253634018038, 0.010172872103072972, 0.010172518476109867, 0.010172194416936446, 0.010171901548544587, 0.01017164144859368, 0.010171415644608144, 0.010171225608855401, 0.010171072752871114, 0.010170958421600007, 0.010170883887123019, 0.010170850341945151, 0.010170858891823143, 0.010170910548118809, 0.010171006219671812, 0.010171146704195907, 0.010171332679214986, 0.010171564692569631, 0.01017184315254201, 0.010172168317666392, 0.010172540286314334, 0.010172958986168015, 0.010173424163721419, 0.010173935373977122, 0.010174491970535368, 0.010175093096301428, 0.010175737675065525, 0.010176424404235876, 0.010177151749027771, 0.010177917938428883, 0.010178720963270618, 0.010179558576736114, 0.010180428297624798, 0.01018132741667018, 0.010182253006169838, 0.010183201933133912, 0.010184170876090082, 0.010185156345599897, 0.010186154708444948, 0.010187162215333719, 0.010188175031865128, 0.010189189272366842, 0.010190201036110527, 0.010191206445298287, 0.010192201684120142, 0.01019318303810746, 0.010194146932956661, 0.010195089971974972, 0.010196008971308785, 0.010196900992155339, 0.010197763369229779, 0.010198593734859082, 0.01019939003819779, 0.010200150559201919, 0.010200873917150277, 0.010201559073659867, 0.010202205330295739, 0.010202812321020051, 0.01020337999985349, 0.010203908624229836, 0.010204398734608586, 0.010204851130968773, 0.01020526684683941, 0.010205647121529516, 0.010205993371205171, 0.010206307159426251, 0.01020659016770427, 0.010206844166579868, 0.010207070987647195, 0.010207272496877164, 0.01020745056951536, 0.01020760706675646, 0.010207743814327618, 0.010207862583050493, 0.010207965071396574, 0.010208052890003811, 0.010208127548085149, 0.010208190441630771, 0.010208242843285626, 0.010208285893771697, 0.010208320594719428, 0.01020834780277418, 0.010208368224850854, 0.010208382414421511, 0.01020839076873665, 0.01020839352689985], [0.00968391719614747, 0.0096838969831722892, 0.0096838363921548532, 0.0096837355666508189, 0.0096835947453591097, 0.0096834142612867401, 0.0096831945405909236, 0.0096829361011093323, 0.0096826395505926737, 0.0096823055846565042, 0.0096819349844715786, 0.0096815286142148457, 0.009681087418305161, 0.0096806124184499447, 0.0096801047105305425, 0.0096795654613559285, 0.0096789959053153116, 0.0096783973409613651, 0.0096777711275567481, 0.0096771186816169003, 0.0096764414734828112, 0.0096757410239573065, 0.0096750189010389575, 0.0096742767167872206, 0.0096735161243525283, 0.0096727388152048899, 0.0096719465165941206, 0.0096711409892748876, 0.009670324025529314, 0.0096694974475199126, 0.0096686631060055421, 0.0096678228794530308, 0.0096669786735773967, 0.0096661324213438721, 0.0096652860834651969, 0.0096644416494281703, 0.0096636011390840697, 0.0096627666048378583, 0.0096619401344715423, 0.0096611238546371932, 0.0096603199350547841, 0.0096595305934489683, 0.0096587581012570999, 0.0096580047901371653, 0.0096572730592993285, 0.0096565653836765287, 0.0096558843229385717, 0.0096552325313381572, 0.0096546127683556221, 0.0096540279100804718, 0.0096534809612290676, 0.0096529750676482961, 0.0096525135290905367, 0.0096520998119638875, 0.0096517375616589039, 0.0096514306139263532, 0.0096511830046251221, 0.0096509989769726807, 0.0096508829852095038, 0.0096508396933330937, 0.0096508739672686774, 0.0096509908585293326, 0.0096511955770912233, 0.0096514934508928219, 0.0096518898690948346, 0.0096523902060603288, 0.0096529997229993884, 0.0096537234444558622, 0.0096545660073985035, 0.0096555314817280951, 0.0096566231626379808, 0.0096578433375540083, 0.0096591930333652706, 0.0096606717532777206, 0.0096622772166834771, 0.0096640051195717412, 0.0096658489366584933, 0.0096677997888619926, 0.0096698464001911833, 0.0096719751657852911, 0.0096741703472233639, 0.0096764144022365647, 0.0096786884441426996, 0.0096809728128977191, 0.0096832477264179144, 0.0096854939698593646, 0.0096876935738168298, 0.0096898304313109869, 0.0096918908084156711, 0.009693863713789776, 0.0096957411066054874, 0.0096975179381795003, 0.0096991920376755039, 0.0097007638645732509, 0.0097022361589163813, 0.0097036135242144286, 0.0097049019776057777, 0.0097061084983551954, 0.0097072406000994708, 0.0097083059456187174, 0.0097093120162737197, 0.0097102658423113882, 0.0097111737954037412, 0.0097120414411937112, 0.0097128734472195551, 0.0097136735402036743, 0.0097144445060845606, 0.0097151882260994894, 0.0097159057424680076, 0.0097165973476041976, 0.0097172626911686787, 0.0097179008995809963, 0.0097185107028166032, 0.0097190905634196544, 0.0097196388027154992, 0.0097201537192743697, 0.0097206336948434391, 0.009721077283316332, 0.0097214832789241576, 0.0097218507607640531, 0.0097221791120430997, 0.0097224680139731991, 0.0097227174160131168, 0.0097229274859739236, 0.0097230985451966841, 0.0097232309953712692, 0.0097233252443978697, 0.0097233816388462603, 0.0097234004099645936, 0.0097234006900439041, 0.0097234015399077604, 0.0097234029888265804, 0.0097234050868807813, 0.0097234079068628104, 0.0097234115468571199, 0.009723416133420296, 0.0097234218252682091, 0.0097234288173665244, 0.0097234373453149951, 0.0097234476899157578, 0.0097234601818202565, 0.0097234752061588336, 0.0097234932070704456, 0.0097235146920667381, 0.0097235402361842919, 0.0097235704858997674, 0.009723606162805043, 0.0097236480670613596, 0.0097236970806734383, 0.0097237541706450756, 0.0097238203920972221, 0.0097238968914474325, 0.009723984909765955, 0.0097240857864389334, 0.0097242009632832697, 0.0097243319892714349, 0.0097244805260382691, 0.009724648354356373, 0.009724837381783218, 0.009725049651701758, 0.009725287353999237, 0.0097255528376566681, 0.009725848625555214, 0.0097261774318485386, 0.0097265421823020688, 0.009726946038065537, 0.0097273924234253725, 0.0097278850581835555, 0.0097284279954329249, 0.0097290256656525076, 0.0097296829282368866, 0.00973040513181107, 0.0097311981849792697, 0.009732068639528248, 0.0097330237885756409, 0.0097340717827483266, 0.0097352217682338607, 0.0097364840515192022, 0.0097378702968836488, 0.0097393937643400364, 0.0097410695978466313, 0.0097429151764184367, 0.0097449505444970556, 0.0097471989429403164, 0.0097496874687634776, 0.0097524479010183927, 0.0097555177429820127, 0.0097589415486876892, 0.0097627726270921294, 0.0097670752533584142, 0.0097719275693107059, 0.0097774254326648442, 0.0097836875909170767, 0.0097908627332638342, 0.0097991392501903789, 0.0098087589696698192, 0.0098200368541413712, 0.0098333898376952115, 0.0098493800393192107, 0.0098687812434205373, 0.0098926842801790489, 0.0099226699037706523, 0.0099611039359531247, 0.010011665314167573, 0.010080345137929027, 0.010177469591908529, 0.010322156444976379, 0.01055325002198876, 0.010960279991058667, 0.011790534614552655, 0.013949836189189766, 0.02284528712461064, 0.069148565209825472, 0.022137921650516656, 0.013032313389357878, 0.011077057457286252, 0.010395315375377351, 0.01008919803829182, 0.0099293083584574109, 0.0098370205794981857, 0.0097798550988598028, 0.0097425439804946865, 0.0097171956063704934, 0.0096994233811680871, 0.0096866446976938657, 0.0096772665184082732, 0.009670267621226844, 0.0096649718259935007, 0.0096609189180144051, 0.0096577881614288118, 0.0096553513787322777, 0.0096534432879301444, 0.0096519422480112107, 0.0096507574652735535, 0.0096498203139445751, 0.009649078337273435, 0.0096484910311362762, 0.0096480268351776585, 0.0096476609558573557, 0.0096473737714840892, 0.0096471496501636562, 0.0096469760645229476, 0.0096468429223052991, 0.0096467420557447333, 0.0096466668289476917, 0.0096466118338449734, 0.0096465726532444993, 0.0096465456751820798, 0.0096465279468414822, 0.0096465170592756524, 0.0096465110563344961, 0.0096465083628177808, 0.0096465077280819024, 0.009646508182249082, 0.0096465090028769671, 0.0096465096905040161, 0.0096465099519349659, 0.0096465096905040161, 0.0096465090028769688, 0.009646508182249082, 0.0096465077280819059, 0.0096465083628177861, 0.0096465110563344995, 0.0096465170592756559, 0.0096465279468414839, 0.0096465456751820781, 0.0096465726532444993, 0.0096466118338449734, 0.0096466668289476934, 0.0096467420557447298, 0.0096468429223053025, 0.0096469760645229476, 0.009647149650163658, 0.0096473737714840926, 0.0096476609558573592, 0.0096480268351776532, 0.0096484910311362797, 0.0096490783372734385, 0.0096498203139445769, 0.0096507574652735535, 0.0096519422480112107, 0.0096534432879301444, 0.0096553513787322794, 0.0096577881614288152, 0.0096609189180144016, 0.0096649718259935059, 0.0096702676212268388, 0.009677266518408275, 0.0096866446976938587, 0.0096994233811680906, 0.0097171956063704847, 0.0097425439804946865, 0.0097798550988597664, 0.0098370205794981753, 0.0099293083584574213, 0.010089198038291822, 0.010395315375377094, 0.011077057457285409, 0.013032313389357664, 0.022137921650513429, 0.069148565209823667, 0.022845287124624022, 0.013949836189191883, 0.011790534614552935, 0.010960279991058945, 0.010553250021988711, 0.010322156444976575, 0.010177469591908645, 0.010080345137929119, 0.010011665314167573, 0.0099611039359531368, 0.0099226699037706576, 0.009892684280179035, 0.0098687812434205269, 0.0098493800393192124, 0.0098333898376952167, 0.0098200368541413834, 0.0098087589696698278, 0.0097991392501903755, 0.0097908627332638429, 0.0097836875909170715, 0.0097774254326648494, 0.0097719275693107059, 0.0097670752533584176, 0.0097627726270921311, 0.0097589415486876909, 0.0097555177429820075, 0.009752447901018391, 0.0097496874687634811, 0.009747198942940313, 0.0097449505444970538, 0.0097429151764184367, 0.0097410695978466313, 0.0097393937643400381, 0.0097378702968836505, 0.0097364840515192005, 0.0097352217682338659, 0.0097340717827483266, 0.0097330237885756392, 0.0097320686395282446, 0.0097311981849792662, 0.0097304051318110717, 0.0097296829282368866, 0.0097290256656525076, 0.0097284279954329249, 0.0097278850581835573, 0.0097273924234253725, 0.009726946038065537, 0.0097265421823020688, 0.0097261774318485386, 0.009725848625555214, 0.0097255528376566681, 0.009725287353999237, 0.0097250496517017563, 0.0097248373817832197, 0.0097246483543563748, 0.0097244805260382691, 0.0097243319892714349, 0.0097242009632832679, 0.00972408578643893, 0.0097239849097659533, 0.0097238968914474342, 0.0097238203920972238, 0.0097237541706450721, 0.0097236970806734348, 0.0097236480670613561, 0.009723606162805043, 0.0097235704858997692, 0.0097235402361842953, 0.0097235146920667363, 0.0097234932070704404, 0.0097234752061588353, 0.009723460181820253, 0.0097234476899157561, 0.0097234373453149933, 0.0097234288173665227, 0.0097234218252682109, 0.0097234161334202943, 0.0097234115468571181, 0.009723407906862807, 0.0097234050868807778, 0.0097234029888265752, 0.0097234015399077622, 0.0097234006900439006, 0.0097234004099645954, 0.0097234005499101314, 0.0097234009734109526, 0.0097234016915121995, 0.0097234027227964363, 0.0097234040936415474, 0.0097234058385756543, 0.0097234080007231275, 0.0097234106323342718, 0.0097234137953900387, 0.0097234175622722269, 0.0097234220164884727, 0.0097234272534412539, 0.0097234333812293936, 0.009723440521470986, 0.0097234488101363738, 0.0097234583983808985, 0.0097234694533672728, 0.0097234821590688348, 0.0097234967170456866, 0.0097235133471872508, 0.0097235322884158502, 0.0097235537993477436, 0.0097235781589092296, 0.009723605666907182, 0.0097236366445548408, 0.0097236714349551792, 0.0097237104035457784, 0.0097237539385102226, 0.0097238024511627583, 0.0097238563763138094, 0.0097239161726252969, 0.0097239823229656082, 0.0097240553347750971, 0.0097241357404537192, 0.0097242240977831948, 0.0097243209903968928, 0.0097244270283110522, 0.0097245428485317181, 0.0097246691157522481, 0.0097248065231569474, 0.0097249557933468556, 0.009725117679404446, 0.0097252929661148495, 0.0097254824713618199, 0.0097256870477179791, 0.0097259075842497378, 0.0097261450085589125, 0.0097264002890845216, 0.0097266744376902428, 0.0097269685125651352, 0.0097272836214680383, 0.0097276209253488542, 0.0097279816423836898, 0.0097283670524648449, 0.0097287785021914226, 0.0097292174104119406, 0.0097296852743766014, 0.0097301836765644918, 0.0097307142922593674, 0.0097312788979576938, 0.0097318793807042205, 0.0097325177484634574, 0.009733196141651199, 0.0097339168459680443, 0.0097346823066979532, 0.0097354951446593299, 0.0097363581740249044, 0.0097372744222600279, 0.0097382471524689439, 0.0097392798884847302, 0.0097403764430939437, 0.0097415409498522731, 0.009742777899024984, 0.009744092178278525, 0.0097454891188606743, 0.0097469745481394039, 0.0097485548495310388, 0.0097502370310423945, 0.0097520288038869096, 0.009753938672921984, 0.0097559760410063125, 0.0097581513298081006, 0.0097604761201291329, 0.0097629633154720213, 0.0097656273334045928, 0.0097684843303111491, 0.0097715524664265894, 0.0097748522197047012, 0.0097784067591834001, 0.0097822423912192601, 0.0097863890954639817, 0.0097908811720087783, 0.0097957580270899014, 0.009801065132628772, 0.0098068552053736952, 0.009813189665505229, 0.0098201404536759317, 0.0098277923116186303, 0.0098362456676571331, 0.0098456203191065132, 0.0098560601752857354, 0.0098677394277804763, 0.0098808706643112656, 0.0098957156636655594, 0.009912599941046811, 0.0099319326202966501, 0.0099542339993820561, 0.0099801744323987605, 0.010010630198298254, 0.010046765447377334, 0.010090155199767045, 0.010142974818287324, 0.010208300616824118, 0.010290603177377226, 0.010396589185797438, 0.010536705275941832, 0.010727974422869763, 0.010999707914910985, 0.011405973864131509, 0.012055724056822597, 0.013195836324745648, 0.015484192483945619, 0.021132063377277865, 0.040128216827666645, 0.08771752219654888, 0.040933763724844689, 0.020078433606718637, 0.014387580839782491, 0.010706895992065302, 0.010048990141962866, 0.0098358713474535342, 0.0097456027129330814, 0.0097011313548709156, 0.0096770476209546239, 0.0096631689634407054, 0.0096548386581624419, 0.0096497132501100306, 0.0096465247146834895, 0.009644546815426305, 0.0096433441672553119, 0.0096426457686588137, 0.0096422775513740951, 0.0096421246713039345, 0.0096421095714355146, 0.0096421787792944462, 0.009642294725600787, 0.0096424305450850175, 0.0096425667004651147, 0.0096426887509022709, 0.0096427858574985228, 0.0096428497766538508, 0.0096428741877152904, 0.0096428542618156986, 0.0096427864199558431, 0.009642668260269183, 0.0096424986646785876, 0.0096422781316564069, 0.0096420094354888464, 0.0096416988021496442, 0.0096413579538088007, 0.0096410076826496261, 0.0096406842319943925, 0.0096404510607032111, 0.0096404214538426593, 0.0096408043020485799, 0.0096420030147073565, 0.0096448475644065751, 0.0096512002354805018, 0.0096657822538183374, 0.0097029450001090926, 0.009821431945506191, 0.010457229674944606, 0.034803539632757438, 0.011696954990650902, 0.010196083687052699, 0.0099204946762683367, 0.0098198406013027279, 0.0097705752032364746, 0.0097421553788551805, 0.0097239338046635169, 0.0097113569226188051, 0.0097021912823918224, 0.0096952278544778035, 0.0096897615782821842, 0.0096853566839707767, 0.0096817310080817374, 0.0096786947704681648, 0.0096761162385955758, 0.0096739015174719441, 0.0096719821569002089, 0.0096703072804894732, 0.0096688384316643734, 0.0096675461072691041, 0.0096664073703851897, 0.0096654041713834671, 0.0096645221446250602, 0.0096637497313258394, 0.0096630775303374813, 0.0096624978109540599, 0.0096620041427314483, 0.009661591111046872, 0.0096612540963320424, 0.0096609891011845018, 0.0096607926138993008, 0.0096606615000057704, 0.0096605929155567545, 0.0096605842374738737, 0.0096606330073852158, 0.0096607368862254694, 0.0096608936174886074, 0.0096611009974888109, 0.0096613568513385286, 0.0096616590136226893, 0.0096620053129567087, 0.0096623935597784372, 0.0096628215368514559, 0.00966328699205804, 0.0096637876331402452, 0.0096643211241117868, 0.0096648850831150979, 0.0096654770815397337, 0.0096660946442519886, 0.0096667352508131594, 0.0096673963375857406, 0.0096680753006447902, 0.0096687694994258295, 0.0096694762610514493, 0.0096701928852875648, 0.0096709166500861532, 0.009671644817675705, 0.0096723746411631357, 0.0096731033716120525, 0.0096738282655620088, 0.0096745465929523808, 0.0096752556454122, 0.0096759527448746427, 0.0096766352524713713, 0.0096773005776583949, 0.009677946187520766, 0.0096785696161998513, 0.0096791684743826323, 0.0096797404587888637, 0.0096802833615886787, 0.009680795079680421, 0.0096812736237562695, 0.0096817171270822348, 0.009682123853918102, 0.0096824922075040877, 0.0096828207375420378, 0.0096831081471018265, 0.0096833532988873823, 0.0096835552208012834, 0.0096837131107529763, 0.0096838263406620224, 0.0096838944596155455, 0.00968391719614747, 0.009683902037150997, 0.0096838566049106661, 0.0096837810335394705, 0.0096836755461127411, 0.0096835404540017017, 0.0096833761559468687, 0.0096831831368772905, 0.0096829619664836452, 0.0096827132975544246, 0.0096824378640861415, 0.009682136479179617, 0.0096818100327356361, 0.0096814594889642943, 0.0096810858837230746, 0.0096806903216994436, 0.0096802739734543342, 0.0096798380723427582, 0.009679383911328469, 0.0096789128397090293, 0.0096784262597675239, 0.0096779256233667441, 0.009677412428500903, 0.0096768882158192755, 0.0096763545651349387, 0.0096758130919308016, 0.0096752654438739226, 0.0096747132973473444, 0.0096741583540074279, 0.0096736023373727876, 0.0096730469894493395, 0.0096724940673936985, 0.0096719453402157804, 0.0096714025855186431, 0.0096708675862722509, 0.0096703421276150506, 0.0096698279936752781, 0.0096693269644016876, 0.0096688408123909372, 0.009668371299696648, 0.0096679201746028894, 0.009667489168342501, 0.0096670799917385388, 0.0096666943317449197, 0.0096663338478604182, 0.0096660001683883078, 0.0096656948865123417, 0.0096654195561583622, 0.009665175687610033, 0.0096649647428464578, 0.0096647881305696563, 0.009664647200890459, 0.0096645432396429351, 0.0096644774622999131, 0.0096644510074657929, 0.0096644649299275319, 0.0096645201932513917, 0.0096646176619206922, 0.0096647580930200316, 0.0096649421274833079, 0.0096651702809369289, 0.009665442934186249, 0.0096657603234120894, 0.0096661225301652685, 0.0096665294712705921, 0.0096669808887770957, 0.0096674763401180079, 0.0096680151886718718, 0.0096685965949438631, 0.009669219508613363, 0.0096698826617183826, 0.0096705845632683949, 0.0096713234955926562, 0.0096720975127395723, 0.0096729044412419644, 0.009673741883551832, 0.0096746072244242188, 0.0096754976404923865, 0.0096764101132244436, 0.0096773414453847524, 0.0096782882810425956, 0.0096792471290773723, 0.0096802143900257907, 0.0096811863860066759, 0.0096821593933461899, 0.0096831296774165781, 0.0096840935290996352, 0.0096850473021978523, 0.0096859874510472239, 0.0096869105675399646, 0.0096878134167474074, 0.0096886929703445951, 0.0096895464370798899, 0.0096903712896038163, 0.0096911652870689223, 0.0096919264930319694, 0.0096926532883263011, 0.0096933443787184572, 0.0096939987973131449, 0.0096946159018166007, 0.0096951953669044289, 0.0096957371720606464, 0.009696241585355099, 0.0096967091437040326, 0.0096971406302116779, 0.0096975370492192493, 0.0096978995996925017, 0.0096982296475625323, 0.0096985286975997485, 0.0096987983653509004, 0.009699040349608494, 0.0096992564058134313, 0.0096994483207199778, 0.0096996178885797486, 0.0096997668890312205, 0.0096998970668159216, 0.0097000101133830653, 0.0097001076503927617, 0.009700191215084213, 0.0097002622474403593, 0.0097003220790534295, 0.0097003719235774916, 0.0097004128686425679, 0.0097004458691009286, 0.0097004717414774129, 0.0097004911595030691, 0.009700504650622558, 0.0097005125933808355, 0.0097005152156129631], [0.0089783839773313855, 0.0089783644181350604, 0.0089783057868063863, 0.0089782082219642036, 0.0089780719541012379, 0.0089778973047814608, 0.0089776846855274071, 0.0089774345964078097, 0.0089771476243393211, 0.0089768244411185978, 0.0089764658012033791, 0.0089760725392638661, 0.0089756455675277236, 0.0089751858729438562, 0.0089746945141919617, 0.0089741726185663014, 0.0089736213787633082, 0.0089730420496036949, 0.0089724359447205405, 0.0089718044332453527, 0.0089711489365246356, 0.0089704709248994586, 0.0089697719145810546, 0.0089690534646549528, 0.0089683171742464003, 0.0089675646798796065, 0.0089667976530628801, 0.0089660177981320394, 0.008965226850383751, 0.0089644265745307677, 0.008963618763510867, 0.0089628052376812036, 0.0089619878444302022, 0.0089611684582392541, 0.0089603489812268879, 0.0089595313442083612, 0.0089587175083044469, 0.0089579094671332002, 0.0089571092496190524, 0.0089563189234535111, 0.0089555405992413298, 0.0089547764353648598, 0.0089540286435972338, 0.0089532994954914496, 0.0089525913295669286, 0.0089519065593071431, 0.0089512476819702935, 0.0089506172881991791, 0.0089500180723945302, 0.008949452843787304, 0.0089489245381070559, 0.0089484362296939103, 0.0089479911438381816, 0.0089475926690509335, 0.008947244368867761, 0.0089469499926636276, 0.0089467134848042786, 0.0089465389912777062, 0.0089464308627340838, 0.0089463936526150076, 0.0089464321087748579, 0.0089465511566961618, 0.0089467558720902202, 0.0089470514403774959, 0.0089474431002929192, 0.0089479360687092935, 0.0089485354437827402, 0.008949246083780742, 0.0089500724595548854, 0.0089510184796732471, 0.0089520872888354634, 0.0089532810424335762, 0.0089546006630174119, 0.0089560455879046149, 0.0089576135210437113, 0.0089593002061295578, 0.0089610992413472132, 0.0089630019582948618, 0.0089649973878479956, 0.0089670723332754779, 0.0089692115653429213, 0.008971398145411676, 0.0089736138712189998, 0.0089758398272948361, 0.0089780570095468904, 0.0089802469833945332, 0.0089823925287761276, 0.0089844782246469076, 0.0089864909305839846, 0.008988420133160006, 0.0089902581382835228, 0.0089920001056323674, 0.0089936439354399503, 0.0089951900294022134, 0.0089966409551895665, 0.0089980010475860465, 0.0089992759789562365, 0.0090004723283806203, 0.009001597173467905, 0.0090026577226213263, 0.0090036609993124125, 0.009004613584349376, 0.0090055214175918091, 0.0090063896571891625, 0.0090072225921563661, 0.0090080236027794969, 0.0090087951627450449, 0.009009538876778184, 0.0090102555477476025, 0.0090109452674779784, 0.0090116075257823062, 0.0090122413324118921, 0.0090128453466939516, 0.0090134180096003574, 0.0090139576729166282, 0.0090144627201355892, 0.0090149316737818241, 0.0090153632841820774, 0.0090157565953241266, 0.0090161109844569005, 0.0090164261734973217, 0.0090167022120867142, 0.0090169394341768922, 0.009017138392154617, 0.0090172997745117875, 0.0090174243146919977, 0.0090175126997554516, 0.0090175654877171461, 0.0090175830417297473, 0.0090175833200249467, 0.0090175841616124894, 0.0090175855870442863, 0.0090175876320456837, 0.0090175903496733933, 0.0090175938132384947, 0.0090175981199025843, 0.0090176033948368914, 0.0090176097958217412, 0.0090176175181567887, 0.0090176267997520848, 0.0090176379262750361, 0.0090176512362393334, 0.009017667125937108, 0.009017686054134999, 0.0090177085464770539, 0.0090177351995609778, 0.0090177666846794919, 0.0090178037512428626, 0.0090178472299226788, 0.0090178980355794074, 0.0090179571700566511, 0.0090180257249437568, 0.0090181048844248726, 0.0090181959283471055, 0.0090183002356538176, 0.0090184192883409654, 0.0090185546761065178, 0.0090187081018746843, 0.0090188813883905726, 0.009019076486095878, 0.0090192954825152639, 0.0090195406134061032, 0.0090198142759528536, 0.0090201190443236819, 0.0090204576879517155, 0.0090208331929596888, 0.009021248787216626, 0.0090217079696021784, 0.0090222145441619991, 0.0090227726599713537, 0.0090233868576904824, 0.0090240621240015705, 0.0090248039553756324, 0.009025618432939999, 0.0090265123106232185, 0.0090274931192668682, 0.0090285692900445181, 0.0090297503013595411, 0.0090310468544614348, 0.0090324710844021747, 0.0090340368147536938, 0.0090357598668701425, 0.0090376584376034418, 0.0090397535635503394, 0.0090420696955220634, 0.0090446354145563186, 0.0090474843312656414, 0.00905065622485428, 0.0090541984985505475, 0.0090581680572286421, 0.0090626337548229841, 0.0090676796202947482, 0.0090734091617360787, 0.0090799511853986957, 0.0090874677775669467, 0.00909616542875194, 0.0091063108120812211, 0.0091182536039482003, 0.0091324602169004943, 0.0091495648987819523, 0.0091704493152515981, 0.0091963704814854823, 0.009229174069182975, 0.0092716655496705141, 0.0093282893379054918, 0.0094064491057899713, 0.0095192722763839752, 0.0096919638328757784, 0.0099782865182384307, 0.010510912716206716, 0.011696166128360327, 0.015304348290226401, 0.035344979901559256, 0.045676450822854868, 0.015525704062237364, 0.011193229950994983, 0.010002006328344077, 0.0095312186669867325, 0.0093038415864078964, 0.0091793160392546133, 0.0091050133683533395, 0.0090578449230661814, 0.0090264725730387647, 0.0090048380043073178, 0.0089894845102871761, 0.0089783335261421765, 0.0089700803835105203, 0.008963876388206846, 0.0089591525423296393, 0.008955517390270968, 0.0089526955440194806, 0.0089504894626624351, 0.0089487550037234409, 0.0089473853872196387, 0.0089463004412931209, 0.0089454392453654982, 0.0089447550070144623, 0.0089442114365482894, 0.0089437801437954618, 0.0089434387439633507, 0.0089431694626797946, 0.00894295809726596, 0.0089427932354332277, 0.0089426656621786789, 0.0089425679057710886, 0.0089424938875883823, 0.0089424386502517973, 0.0089423981453458055, 0.0089423690669044528, 0.0089423487203794654, 0.0089423349193871772, 0.0089423259044376022, 0.0089423202792724144, 0.0089423169615154129, 0.0089423151451658786, 0.0089423142731121282, 0.0089423140183614146, 0.00894231427311213, 0.0089423151451658786, 0.0089423169615154112, 0.0089423202792724178, 0.0089423259044376074, 0.0089423349193871807, 0.0089423487203794689, 0.0089423690669044528, 0.0089423981453458003, 0.0089424386502517939, 0.0089424938875883805, 0.0089425679057710903, 0.0089426656621786806, 0.0089427932354332277, 0.0089429580972659583, 0.0089431694626797911, 0.0089434387439633559, 0.0089437801437954653, 0.0089442114365482876, 0.0089447550070144606, 0.0089454392453655, 0.0089463004412931244, 0.0089473853872196422, 0.0089487550037234409, 0.0089504894626624334, 0.0089526955440194858, 0.008955517390270968, 0.008959152542329641, 0.0089638763882068512, 0.0089700803835105185, 0.0089783335261421782, 0.0089894845102871709, 0.009004838004307323, 0.009026472573038756, 0.0090578449230661814, 0.0091050133683532892, 0.0091793160392545994, 0.0093038415864079155, 0.0095312186669867221, 0.010002006328343629, 0.011193229950993337, 0.015525704062236941, 0.045676450822845938, 0.035344979901548071, 0.015304348290230998, 0.011696166128361357, 0.010510912716206879, 0.0099782865182386094, 0.0096919638328757402, 0.0095192722763841262, 0.0094064491057900667, 0.0093282893379055681, 0.0092716655496705123, 0.0092291740691829854, 0.0091963704814854875, 0.0091704493152515859, 0.0091495648987819471, 0.0091324602169004978, 0.0091182536039482055, 0.009106310812081235, 0.0090961654287519487, 0.0090874677775669432, 0.0090799511853987009, 0.0090734091617360769, 0.00906767962029475, 0.0090626337548229824, 0.0090581680572286508, 0.0090541984985505509, 0.00905065622485428, 0.0090474843312656379, 0.0090446354145563186, 0.0090420696955220651, 0.0090397535635503394, 0.0090376584376034418, 0.0090357598668701408, 0.009034036814753699, 0.0090324710844021765, 0.00903104685446144, 0.0090297503013595359, 0.0090285692900445181, 0.0090274931192668648, 0.0090265123106232168, 0.0090256184329399972, 0.0090248039553756324, 0.0090240621240015723, 0.0090233868576904842, 0.0090227726599713606, 0.0090222145441620008, 0.0090217079696021801, 0.0090212487872166243, 0.0090208331929596871, 0.0090204576879517138, 0.0090201190443236819, 0.0090198142759528536, 0.0090195406134061015, 0.0090192954825152639, 0.009019076486095878, 0.0090188813883905761, 0.0090187081018746861, 0.0090185546761065161, 0.0090184192883409654, 0.0090183002356538141, 0.0090181959283471072, 0.0090181048844248726, 0.0090180257249437602, 0.0090179571700566528, 0.0090178980355794056, 0.0090178472299226771, 0.0090178037512428609, 0.0090177666846794936, 0.0090177351995609778, 0.0090177085464770521, 0.0090176860541349973, 0.0090176671259371028, 0.0090176512362393352, 0.0090176379262750361, 0.0090176267997520848, 0.0090176175181567887, 0.0090176097958217377, 0.0090176033948368949, 0.0090175981199025826, 0.0090175938132384965, 0.0090175903496733951, 0.0090175876320456819, 0.0090175855870442828, 0.0090175841616124894, 0.0090175833200249449, 0.0090175830417297525, 0.0090175831808373599, 0.0090175836010094254, 0.0090175843108538187, 0.0090175853249164079, 0.0090175866639765033, 0.0090175883554532293, 0.0090175904339158449, 0.0090175929416892418, 0.0090175959295444169, 0.0090175994574626227, 0.0090176035954607024, 0.009017608424464708, 0.0090176140372184577, 0.0090176205392136968, 0.0090176280496287523, 0.0090176367022632535, 0.0090176466464571906, 0.0090176580479837502, 0.0090176710899065489, 0.0090176859733934901, 0.0090177029184807522, 0.009017722164782473, 0.009017743972143076, 0.009017768621231069, 0.0090177964140749668, 0.0090178276745434341, 0.009017862748773706, 0.0090179020055534253, 0.0090179458366629675, 0.0090179946571861784, 0.0090180489057988863, 0.009018109045045573, 0.0090181755616154068, 0.0090182489666298105, 0.009018329795954242, 0.0090184186105477619, 0.0090185159968642018, 0.0090186225673194592, 0.0090187389608397429, 0.0090188658435061322, 0.0090190039093112663, 0.0090191538810442725, 0.0090193165113209815, 0.0090194925837766646, 0.0090196829144396883, 0.0090198883533051631, 0.0090201097861288392, 0.0090203481364629096, 0.0090206043679568037, 0.0090208794869480555, 0.0090211745453705194, 0.0090214906440098264, 0.0090218289361389363, 0.0090221906315703891, 0.0090225770011658438, 0.0090229893818483745, 0.0090234291821685852, 0.0090238978884820912, 0.0090243970718032578, 0.0090249283954089415, 0.0090254936232758484, 0.0090260946294467327, 0.0090267334084342052, 0.0090274120867863891, 0.0090281329359569642, 0.0090288983866431641, 0.009029711044780106, 0.0090305737094086222, 0.0090314893926677822, 0.0090324613422029937, 0.0090334930663277056, 0.0090345883623322264, 0.0090357513483990005, 0.0090369864996622477, 0.0090382986890430363, 0.0090396932336032562, 0.0090411759472959798, 0.0090427532011522968, 0.0090444319921406096, 0.0090462200221730158, 0.0090481257890240498, 0.0090501586912834289, 0.0090523291499026003, 0.0090546487494365911, 0.0090571304027553326, 0.009059788543838012, 0.0090626393543173436, 0.0090657010307690598, 0.0090689941014272853, 0.0090725418031577208, 0.0090763705322833722, 0.0090805103864298291, 0.0090849958192085953, 0.0090898664356582597, 0.0090951679644294559, 0.0091009534534520591, 0.0091072847502826019, 0.0091142343479576546, 0.009121887704087301, 0.0091303461782068236, 0.0091397307846526072, 0.0091501870323428599, 0.0091618912293558764, 0.0091750587854394668, 0.0091899552753130602, 0.0092069113712226341, 0.0092263432825233083, 0.009248781166768319, 0.009274909295950564, 0.009305623916842724, 0.0093421183590589006, 0.0093860111856885718, 0.0094395443147606093, 0.0095058986440784109, 0.0095897144723950146, 0.00969798450959862, 0.0098416595856112218, 0.010038700975400421, 0.010320286305852246, 0.010744519211524398, 0.011430068036797334, 0.012650802404414508, 0.015155897755550325, 0.021562155968419455, 0.044111290892234797, 0.086281047097901645, 0.035422689667760139, 0.018141796127705355, 0.010435616754010809, 0.0094534508866299452, 0.00917159593229077, 0.0090593344174111721, 0.009006013446697398, 0.0089778076856832662, 0.0089618042661477951, 0.0089522945257103359, 0.0089464766077104203, 0.0089428633155607239, 0.0089406157523786219, 0.0089392371613799156, 0.0089384214832205749, 0.0089379738180291515, 0.008937766527121388, 0.0089377139727150126, 0.0089377574571399519, 0.0089378559654191905, 0.008937980323781753, 0.0089381094301107487, 0.0089382277759480003, 0.0089383237950304562, 0.00893838875577623, 0.0089384160244945984, 0.0089384005947030654, 0.0089383388242441145, 0.0089382283574591988, 0.0089380682431942499, 0.0089378592997005086, 0.0089376048368305025, 0.008937311945466252, 0.0089369937447747062, 0.0089366733245006477, 0.008936390818061005, 0.0089362165241026938, 0.0089362763254054872, 0.0089368036704117002, 0.0089382533265379826, 0.0089415726891316615, 0.008948925872455795, 0.0089659458799117124, 0.0090104818776889344, 0.0091612485595917881, 0.010118196161110118, 0.043667052971013989, 0.010404267099576469, 0.0094082489588702464, 0.0091881098854949619, 0.0091020555133276178, 0.0090584148157680077, 0.0090326844854905896, 0.0090159419298430181, 0.0090042621672513524, 0.0089956815924214818, 0.0089891215508789996, 0.0089839458710412878, 0.0089797578307647518, 0.0089762986867266154, 0.0089733933736781922, 0.0089709197702803906, 0.0089687904688811083, 0.0089669415230617215, 0.0089653252602000192, 0.0089639055517086921, 0.0089626546180586585, 0.0089615508199809742, 0.0089605770995977527, 0.0089597198597062503, 0.0089589681445474342, 0.0089583130319039767, 0.0089577471758612113, 0.0089572644586608935, 0.0089568597226862678, 0.0089565285620899007, 0.008956267159363606, 0.0089560721561628767, 0.0089559405505201025, 0.0089558696145907116, 0.0089558568285256959, 0.0089558998271209531, 0.0089559963566731363, 0.0089561442400522932, 0.0089563413484381755, 0.008956585578499026, 0.0089568748340455809, 0.0089572070113897347, 0.0089575799877906308, 0.008957991612491039, 0.0089584396999426944, 0.0089589220248947419, 0.0089594363190808896, 0.0089599802692895136, 0.0089605515166410535, 0.008961147656928967, 0.0089617662419068204, 0.0089624047814249545, 0.008963060746337348, 0.0089637315721127174, 0.0089644146630943299, 0.0089651073973613053, 0.0089658071321499465, 0.0089665112097976774, 0.0089672169641747696, 0.0089679217275700131, 0.0089686228379962478, 0.0089693176468807773, 0.0089700035271034571, 0.0089706778813426809, 0.0089713381506862314, 0.0089719818234604461, 0.0089726064442272116, 0.0089732096228945808, 0.0089737890438830112, 0.0089743424752855207, 0.0089748677779571545, 0.0089753629144663401, 0.0089758259578386831, 0.008976255100022805, 0.0089766486600068862, 0.0089770050915156819, 0.0089773229902188993, 0.0089776011003845253, 0.0089778383209141929, 0.0089780337107022452, 0.0089781864932657208, 0.0089782960605989098, 0.0089783619762132064, 0.0089783839773313855, 0.0089783693086544214, 0.0089783253459612584, 0.0089782522191361042, 0.0089781501442239599, 0.0089780194227905164, 0.008977860441032123, 0.0089776736686416128, 0.0089774596574375715, 0.0089772190397660098, 0.0089769525266846714, 0.0089766609059417704, 0.0089763450397616212, 0.0089760058624510052, 0.0089756443778405692, 0.0089752616565763801, 0.0089748588332772498, 0.0089744371035733427, 0.0089739977210422858, 0.0089735419940582747, 0.0089730712825697948, 0.0089725869948209767, 0.0089720905840309437, 0.008971583545044879, 0.0089710674109693047, 0.0089705437498031892, 0.0089700141610752175, 0.0089694802724959756, 0.0089689437366325363, 0.0089684062276111347, 0.0089678694378518969, 0.0089673350748378164, 0.00896680485791824, 0.0089662805151449303, 0.0089657637801370919, 0.0089652563889691672, 0.0089647600770733447, 0.0089642765761464623, 0.0089638076110486117, 0.008963354896678653, 0.0089629201348096488, 0.0089625050108648411, 0.0089621111906129508, 0.0089617403167592379, 0.0089613940054070525, 0.0089610738423628704, 0.0089607813792560338, 0.008960518129443585, 0.0089602855636693717, 0.0089600851054463353, 0.0089599181261311393, 0.0089597859396608887, 0.0089596897969234906, 0.0089596308797357423, 0.0089596102944069275, 0.0089596290648706074, 0.0089596881253738887, 0.008959788312721496, 0.0089599303580818381, 0.0089601148783744113, 0.0089603423672717387, 0.0089606131858656433, 0.0089609275530660414, 0.0089612855358214907, 0.00896168703927353, 0.008962131796981649, 0.0089626193613818669, 0.0089631490946686567, 0.0089637201603166936, 0.0089643315154846262, 0.0089649819045662677, 0.0089656698541739546, 0.0089663936698529227, 0.0089671514348322705, 0.0089679410111159277, 0.0089687600432042328, 0.0089696059647117292, 0.0089704760081083888, 0.008971367217759138, 0.0089722764663699422, 0.008973200474868848, 0.0089741358356587152, 0.0089750790390772089, 0.0089760265027929668, 0.0089769746037581914, 0.0089779197122327892, 0.0089788582272985525, 0.0089797866131989708, 0.0089807014357766064, 0.0089815993982393476, 0.0089824773754732228, 0.0089833324461341627, 0.008984161921795299, 0.0089849633724981282, 0.0089857346481530386, 0.0089864738953522802, 0.0089871795692915736, 0.0089878504406383005, 0.0089884855973288384, 0.0089890844414171143, 0.0089896466812263362, 0.0089901723191698514, 0.0089906616357013566, 0.0089911151699269727, 0.0089915336974599799, 0.008991918206123951, 0.0089922698701122208, 0.0089925900231937542, 0.0089928801315201645, 0.0089931417665394687, 0.0089933765784626571, 0.0089935862706629361, 0.0089937725753182363, 0.0089939372305379711, 0.00899408195914779, 0.0089942084492437985, 0.0089943183365710673, 0.0089944131887322587, 0.0089944944911908749, 0.0089945636350005562, 0.0089946219061665979, 0.0089946704765286409, 0.0089947103960428872, 0.0089947425863388369, 0.0089947678354268534, 0.0089947867934405297, 0.0089947999693082842, 0.008994807728263679, 0.0089948102901212159], [0.0091014858583184331, 0.0091014665796606328, 0.009101408789303855, 0.009101312623937808, 0.0091011783108462061, 0.0091010061671134082, 0.0091007965985246478, 0.0091005500981701324, 0.009100267244766664, 0.0090999487007129929, 0.0090995952098972942, 0.0090992075952780194, 0.0090987867562611624, 0.0090983336658990114, 0.0090978493679370054, 0.0090973349737371017, 0.0090967916591068419, 0.0090962206610646652, 0.0090956232745725615, 0.0090950008492678581, 0.0090943547862263278, 0.0090936865347888141, 0.0090929975894840954, 0.0090922894870801487, 0.0090915638037962695, 0.0090908221527081414, 0.0090900661813777053, 0.0090892975697396666, 0.0090885180282760727, 0.0090877292965103693, 0.0090869331418523755, 0.0090861313588254423, 0.0090853257687073651, 0.0090845182196167811, 0.0090837105870771231, 0.009082904775090413, 0.0090821027177538961, 0.0090813063814524989, 0.0090805177676604263, 0.0090797389163851695, 0.0090789719102864867, 0.009078218879501606, 0.0090774820072057789, 0.0090767635359332091, 0.0090760657746779532, 0.0090753911067857785, 0.0090747419986363705, 0.0090741210090988164, 0.009073530799721289, 0.0090729741455867138, 0.0090724539467275066, 0.0090719732399429306, 0.0090715352107989325, 0.0090711432055100537, 0.0090708007423027752, 0.0090705115217362461, 0.0090702794353064737, 0.0090701085714809324, 0.0090700032181001942, 0.0090699678598420517, 0.0090700071691742021, 0.0090701259889319954, 0.0090703293043617773, 0.0090706222021912971, 0.0090710098140607161, 0.0090714972415197846, 0.0090720894598331023, 0.0090727911981166535, 0.009073606793950412, 0.0090745400216743453, 0.0090755938951754787, 0.0090767704481797395, 0.0090780704978884758, 0.0090794934011679436, 0.0090810368162072153, 0.0090826964862452259, 0.0090844660651071413, 0.0090863370062227635, 0.0090882985368057351, 0.0090903377363019781, 0.0090924397326611235, 0.0090945880214594581, 0.0090967649019784574, 0.0090989520121839002, 0.0091011309328040326, 0.0091032838212315934, 0.009105394030474839, 0.0091074466679972321, 0.009109429054302013, 0.0091113310508617873, 0.0091131452399659252, 0.0091148669532630112, 0.0091164941591558198, 0.009118027230052941, 0.0091194686177186474, 0.0091208224682471466, 0.0091220942078339227, 0.0091232901273083384, 0.0091244169883332726, 0.0091254816682796967, 0.0091264908548985349, 0.0091274507966482218, 0.0091283671102446711, 0.0091292446438027905, 0.0091300873917858107, 0.0091308984567125308, 0.0091316800519810823, 0.009132433540031043, 0.0091331595001813027, 0.0091338578206858582, 0.009134527809724147, 0.0091351683201158981, 0.0091357778824982163, 0.0091363548415438235, 0.0091368974895906282, 0.0091374041918828048, 0.0091378734976007951, 0.0091383042310996566, 0.0091386955583887264, 0.0091390470249504783, 0.0091393585625410903, 0.009139630464603421, 0.0091398633322384848, 0.0091400579951320376, 0.0091402154141611864, 0.0091403365743218043, 0.0091404223778382681, 0.0091404735476157458, 0.0091404905504484813, 0.0091404907432203458, 0.0091404913259635952, 0.0091404923124601758, 0.0091404937273261849, 0.0091404956084224307, 0.0091404980101149318, 0.0091405010072782341, 0.0091405046999133814, 0.0091405092182379136, 0.009140514728097569, 0.0091405214365488079, 0.0091405295974675786, 0.0091405395170522426, 0.0091405515591064888, 0.0091405661500101563, 0.0091405837833112621, 0.0091406050238994549, 0.0091406305117491295, 0.0091406609652475712, 0.0091406971841498756, 0.0091407400522263826, 0.009140790539690245, 0.0091408497055117874, 0.0091409186997429941, 0.00914099876598937, 0.0091410912441785598, 0.0091411975737858177, 0.0091413192976859022, 0.0091414580668108172, 0.0091416156458034494, 0.0091417939198691033, 0.00914199490304223, 0.0091422207481045917, 0.0091424737584149783, 0.0091427564019415184, 0.0091430713278261716, 0.0091434213858599487, 0.0091438096493085454, 0.0091442394416042204, 0.0091447143675147391, 0.0091452383495177134, 0.0091458156702549816, 0.0091464510221230897, 0.0091471495652821373, 0.0091479169956476553, 0.0091487596247841248, 0.0091496844740647249, 0.0091506993860259161, 0.009151813156563696, 0.0091530356925372675, 0.009154378200530321, 0.0091558534140562618, 0.009157475868501231, 0.0091592622357421528, 0.009161231733886414, 0.0091634066322796824, 0.0091658128782802269, 0.0091684808809682425, 0.0091714464989165433, 0.0091747522958275027, 0.0091784491513835446, 0.009182598348320286, 0.0091872743055328859, 0.009192568198843348, 0.0091985928184712858, 0.0092054891757652763, 0.0092134356255010406, 0.0092226606722273282, 0.0092334612815341086, 0.0092462296029648724, 0.0092614928710332573, 0.0092799745397141829, 0.009302690736281179, 0.009331107642045762, 0.0093674084851714922, 0.0094149676608135703, 0.0094792397028506514, 0.0095695395326486719, 0.0097029102108838628, 0.0099134436504564778, 0.010278032605981181, 0.011002365619782519, 0.012801652288619916, 0.019568181913031311, 0.062198899317324932, 0.025070640185086472, 0.01298307085399, 0.010646745408791278, 0.0098740637574729721, 0.0095371034024189002, 0.0093642763810470354, 0.0092657333834888934, 0.009205217974993931, 0.0091659680182007812, 0.009139426382717291, 0.009120881898772951, 0.0091075818635858192, 0.0090978387309541588, 0.00909057615159704, 0.0090850844385923432, 0.0090808822784339202, 0.0090776352341601276, 0.0090751059865869458, 0.0090731230054314684, 0.0090715602858205749, 0.0090703239264125681, 0.0090693430490841626, 0.0090685635383863927, 0.0090679436509533366, 0.0090674508885388062, 0.0090670597396618514, 0.0090667500276991712, 0.0090665056884729825, 0.0090663138560373065, 0.0090661641723271714, 0.0090660482612645431, 0.0090659593249695254, 0.0090658918315498147, 0.0090658412722417862, 0.0090658039715725384, 0.009065776938447798, 0.0090657577491468008, 0.0090657444554648903, 0.0090657355129232734, 0.0090657297252290121, 0.0090657262021341858, 0.0090657243285951292, 0.0090657237437333331, 0.0090657243285951292, 0.0090657262021341875, 0.0090657297252290121, 0.0090657355129232751, 0.0090657444554648955, 0.0090657577491468026, 0.0090657769384478015, 0.0090658039715725384, 0.0090658412722417828, 0.0090658918315498164, 0.0090659593249695237, 0.0090660482612645466, 0.0090661641723271732, 0.009066313856037303, 0.009066505688472979, 0.0090667500276991695, 0.0090670597396618584, 0.0090674508885388062, 0.0090679436509533366, 0.009068563538386391, 0.0090693430490841644, 0.0090703239264125716, 0.0090715602858205766, 0.0090731230054314632, 0.0090751059865869458, 0.0090776352341601311, 0.0090808822784339237, 0.009085084438592338, 0.0090905761515970417, 0.0090978387309541553, 0.0091075818635858209, 0.0091208818987729423, 0.0091394263827172962, 0.0091659680182007725, 0.0092052179749939327, 0.0092657333834888275, 0.0093642763810470112, 0.0095371034024189279, 0.0098740637574729756, 0.010646745408790513, 0.0129830708539864, 0.025070640185084536, 0.062198899317330525, 0.019568181913027567, 0.012801652288621873, 0.011002365619783112, 0.010278032605981289, 0.0099134436504566097, 0.0097029102108838437, 0.0095695395326487968, 0.0094792397028507346, 0.0094149676608136328, 0.0093674084851714939, 0.0093311076420457707, 0.009302690736281179, 0.0092799745397141725, 0.0092614928710332538, 0.0092462296029648741, 0.0092334612815341121, 0.0092226606722273386, 0.0092134356255010458, 0.0092054891757652729, 0.0091985928184712892, 0.0091925681988433445, 0.0091872743055328877, 0.0091825983483202877, 0.0091784491513835463, 0.0091747522958275061, 0.0091714464989165467, 0.0091684808809682373, 0.0091658128782802252, 0.0091634066322796859, 0.0091612317338864106, 0.0091592622357421476, 0.0091574758685012275, 0.0091558534140562652, 0.0091543782005303245, 0.0091530356925372727, 0.009151813156563696, 0.0091506993860259143, 0.0091496844740647214, 0.0091487596247841266, 0.0091479169956476553, 0.0091471495652821373, 0.0091464510221230914, 0.0091458156702549816, 0.0091452383495177134, 0.0091447143675147426, 0.0091442394416042239, 0.0091438096493085454, 0.0091434213858599522, 0.0091430713278261699, 0.0091427564019415184, 0.0091424737584149766, 0.0091422207481045882, 0.0091419949030422266, 0.0091417939198691015, 0.0091416156458034529, 0.0091414580668108189, 0.0091413192976859004, 0.0091411975737858177, 0.0091410912441785581, 0.0091409987659893666, 0.0091409186997429975, 0.0091408497055117874, 0.0091407905396902432, 0.0091407400522263826, 0.0091406971841498756, 0.0091406609652475712, 0.0091406305117491295, 0.0091406050238994584, 0.0091405837833112621, 0.0091405661500101546, 0.0091405515591064836, 0.0091405395170522444, 0.0091405295974675733, 0.0091405214365488079, 0.0091405147280975707, 0.0091405092182379119, 0.0091405046999133849, 0.0091405010072782376, 0.0091404980101149301, 0.0091404956084224307, 0.0091404937273261849, 0.0091404923124601741, 0.0091404913259635952, 0.0091404907432203458, 0.0091404905504484848, 0.0091404906468373071, 0.0091404909382278542, 0.0091404914313600021, 0.0091404921376909663, 0.0091404930737272148, 0.0091404942614806643, 0.0091404957290411072, 0.0091404975112546454, 0.0091404996504963545, 0.0091405021975239607, 0.0091405052123981721, 0.0091405087654546496, 0.0091405129383121883, 0.0091405178249017588, 0.0091405235325012092, 0.0091405301827613503, 0.0091405379127099187, 0.0091405468757212206, 0.0091405572424407989, 0.0091405692016560385, 0.0091405829611053632, 0.0091405987482208982, 0.0091406168108009219, 0.0091406374176108609, 0.0091406608589132531, 0.0091406874469289918, 0.0091407175162341644, 0.0091407514240980006, 0.0091407895507696259, 0.0091408322997219849, 0.0091408800978631695, 0.0091409333957259316, 0.0091409926676474986, 0.0091410584119523321, 0.0091411311511511509, 0.0091412114321702022, 0.0091412998266251298, 0.0091413969311540215, 0.0091415033678247937, 0.009141619784632132, 0.0091417468560996643, 0.0091418852840031133, 0.0091420357982308943, 0.0091421991577987534, 0.0091423761520357284, 0.0091425676019594344, 0.0091427743618594827, 0.0091429973211090074, 0.00914323740622538, 0.0091434955832030308, 0.0091437728601429444, 0.0091440702902058444, 0.0091443889749185485, 0.0091447300678662337, 0.009145094778806831, 0.0091454843782482094, 0.009145900202533452, 0.0091463436594854588, 0.0091468162346685141, 0.0091473194983321248, 0.0091478551131113726, 0.0091484248425678753, 0.0091490305606677109, 0.0091496742623058229, 0.009150358075002727, 0.009151084271917527, 0.0091518552863428717, 0.0091526737278724742, 0.00915354240046138, 0.0091544643226333568, 0.0091554427501305789, 0.0091564812013483366, 0.0091575834859541974, 0.0091587537371579965, 0.0091599964481787893, 0.009161316513550271, 0.009162719276020052, 0.0091642105799354112, 0.0091657968321734798, 0.0091674850718740288, 0.009169283050476441, 0.0091711993238595222, 0.0091732433587468163, 0.0091754256559883774, 0.009177757893884201, 0.0091802530954032107, 0.0091829258240121621, 0.0091857924139085063, 0.0091888712418149634, 0.0091921830492242597, 0.0091957513261939558, 0.0091996027706336397, 0.0092037678407058381, 0.009208281422756398, 0.0092131836434863681, 0.0092185208634098688, 0.0092243468997630276, 0.0092307245420026156, 0.0092377274433845507, 0.0092454425000533611, 0.0092539728678454804, 0.0092634418214310767, 0.0092739977377495845, 0.0092858205970354265, 0.0092991305573368564, 0.009314199399579429, 0.0093313660038660262, 0.0093510575760846672, 0.0093738192184542254, 0.0094003558374939223, 0.0094315926778652682, 0.0094687646340807265, 0.0095135511913534594, 0.0095682858544803608, 0.0096362912662007541, 0.0097224345983215922, 0.0098340862589647981, 0.0099828558994253403, 0.010187920395864969, 0.010482860371842, 0.010930958929577824, 0.011663366084587271, 0.012988851756245669, 0.015776357947432536, 0.023186021346978149, 0.050248449039850741, 0.080855138863578369, 0.031321565060784567, 0.011288658441523648, 0.0097311524503881624, 0.0093476819742774747, 0.0092056255628568708, 0.0091409095455086704, 0.0091075704228676946, 0.0090889840853168712, 0.0090780677681711261, 0.0090714375664975849, 0.0090673338009018035, 0.0090647797588943209, 0.0090632045569433196, 0.0090622602194507344, 0.0090617271423392692, 0.009061462612561199, 0.0090613715193417124, 0.0090613890604811179, 0.0090614702013533145, 0.0090615830718788187, 0.0090617047325978872, 0.0090618184067667012, 0.0090619116443870773, 0.009061975095698574, 0.0090620016974552811, 0.0090619861535604744, 0.0090619246439487284, 0.0090618147353521555, 0.0090616555046726215, 0.0090614479300196015, 0.0090611956697920493, 0.0090609064601979029, 0.0090605945624748462, 0.0090602850792457779, 0.009060021748283166, 0.0090598815116577809, 0.0090600030001256725, 0.0090606454449065534, 0.0090623194272899752, 0.0090661044122991585, 0.0090745168140606049, 0.0090943024056284703, 0.0091478519392746843, 0.009342710144369033, 0.010878477454499276, 0.024710266870050106, 0.010168525891501032, 0.0094687558049101322, 0.0092893067336818382, 0.0092148197771495886, 0.0091757876907285589, 0.0091522929129270077, 0.00913678442620172, 0.0091258510805750544, 0.009117753700681722, 0.0091115232626052915, 0.0091065819209267193, 0.0091025661471563143, 0.0090992371474917667, 0.0090964323988789106, 0.009094037969125909, 0.009091971972350012, 0.0090901742898734216, 0.0090885999671022257, 0.0090872148465979408, 0.0090859926051896998, 0.0090849126975859791, 0.0090839588999648731, 0.0090831182596030988, 0.0090823803248684526, 0.0090817365723627683, 0.0090811799750299699, 0.0090807046726101015, 0.0090803057174565962, 0.0090799788765777954, 0.0090797204761365012, 0.0090795272783763606, 0.0090793963835764015, 0.0090793251515144651, 0.0090793111382781143, 0.0090793520452540754, 0.0090794456778602387, 0.00907958991213134, 0.0090797826676816233, 0.0090800218858816551, 0.0090803055123270335, 0.0090806314828633002, 0.0090809977125770776, 0.0090814020872778626, 0.0090818424570860787, 0.0090823166318152373, 0.00908282237789464, 0.0090833574166258053, 0.0090839194236040852, 0.0090845060291677385, 0.0090851148197617793, 0.0090857433401242832, 0.009086389096219033, 0.0090870495588514979, 0.0090877221679150858, 0.0090884043372225966, 0.009089093459883197, 0.0090897869141892771, 0.0090904820699797273, 0.0090911762954472477, 0.00909186696435672, 0.0090925514636410049, 0.0090932272013378949, 0.0090938916148296106, 0.0090945421793427791, 0.009095176416663386, 0.0090957919040171899, 0.0090963862830623007, 0.0090969572689370073, 0.0090975026593019953, 0.0090980203433132824, 0.0090985083104594706, 0.0090989646591946305, 0.0090993876052974359, 0.009099775489885914, 0.0091001267870185459, 0.0091004401108132835, 0.009100714222018776, 0.0091009480339756949, 0.009101140617910234, 0.0091012912075077602, 0.0091013992027205309, 0.0091014641727707752, 0.0091014858583184331, 0.0091014714000389636, 0.0091014280679787719, 0.0091013559903452331, 0.009101255380394236, 0.0091011265357984379, 0.0091009698377688946, 0.0091007857499357542, 0.0091005748169955009, 0.0091003376631336765, 0.0091000749902331261, 0.0090997875758794151, 0.0090994762711758461, 0.0090991419983815821, 0.0090987857483871993, 0.0090984085780424183, 0.0090980116073515731, 0.0090975960165520699, 0.0090971630430918497, 0.0090967139785211367, 0.0090962501653139172, 0.0090957729936338872, 0.009095283898059036, 0.0090947843542784311, 0.0090942758757733607, 0.0090937600104943495, 0.0090932383375441402, 0.0090927124638751876, 0.0090921840210089651, 0.0090916546617825188, 0.0090911260571262635, 0.0090905998928747806, 0.0090900778666109256, 0.0090895616845410934, 0.0090890530583979182, 0.0090885537023641279, 0.0090880653300093421, 0.009087589651229527, 0.0090871283691762676, 0.0090866831771610878, 0.0090862557555178598, 0.0090858477684038971, 0.0090854608605186217, 0.0090850966537163458, 0.009084756743488076, 0.0090844426952854419, 0.009084156040658424, 0.0090838982731773297, 0.0090836708441088664, 0.0090834751578154956, 0.0090833125668479172, 0.0090831843667009936, 0.0090830917902055743, 0.0090830360015310228, 0.0090830180897773418, 0.0090830390621406461, 0.0090830998366425511, 0.0090832012344220295, 0.0090833439715985471, 0.0090835286507272035, 0.0090837557518807753, 0.009084025623409939, 0.0090843384724515856, 0.0090846943552757471, 0.0090850931675845702, 0.0090855346349011518, 0.0090860183032117417, 0.0090865435300512137, 0.0090871094762476241, 0.0090877150985667274, 0.0090883591435193915, 0.0090890401426133444, 0.0090897564093432998, 0.0090905060382192107, 0.0090912869061286899, 0.009092096676315586, 0.0090929328052305729, 0.0090937925524700331, 0.0090946729939665096, 0.0090955710385271105, 0.0090964834477363019, 0.0090974068591487458, 0.0090983378125979522, 0.0090992727793417424, 0.0091002081936596285, 0.0091011404864152351, 0.0091020661200040057, 0.0091029816240276139, 0.0091038836309769808, 0.0091047689111694325, 0.0091056344061755581, 0.009106477259989313, 0.0091072948472416485, 0.0091080847978309825, 0.0091088450174415889, 0.0091095737035376771, 0.0091102693565522936, 0.0091109307861290557, 0.0091115571124155501, 0.0091121477625425336, 0.0091127024625480679, 0.0091132212251149314, 0.0091137043335792253, 0.0091141523227358367, 0.0091145659570111733, 0.0091149462065950575, 0.0091152942221239004, 0.0091156113084875871, 0.0091158988982968005, 0.0091161585254981112, 0.009116391799565627, 0.0091166003806328975, 0.0091167859558612119, 0.0091169502172727956, 0.0091170948412122761, 0.009117221469539652, 0.0091173316926035346, 0.009117427033996298, 0.0091175089370532959, 0.0091175787530267862, 0.0091176377308411598, 0.0091176870083198545, 0.0091177276047646767, 0.0091177604147649888, 0.0091177862031162817, 0.0091178056007348157, 0.0091178191014658662, 0.0091178270596973879, 0.0091178296887080724], [0.0091882793815768905, 0.0091882604388719424, 0.0091882036556115293, 0.0091881091662011499, 0.0091879771941254552, 0.0091878080511667258, 0.0091876021363215665, 0.0091873599344260287, 0.0091870820145025789, 0.0091867690278450136, 0.0091864217058595515, 0.0091860408576830126, 0.0091856273676009861, 0.0091851821922907129, 0.0091847063579150699, 0.0091842009570956718, 0.0091836671457940257, 0.0091831061401308461, 0.0091825192131744036, 0.0091819076917291527, 0.0091812729531565579, 0.0091806164222599049, 0.0091799395682653964, 0.0091792439019312659, 0.0091785309728169562, 0.0091778023667440992, 0.0091770597034805702, 0.0091763046346791544, 0.0091755388421016441, 0.0091747640361594784, 0.0091739819548016938, 0.0091731943627810404, 0.0091724030513291761, 0.0091716098382722197, 0.009170816568617908, 0.0091700251156460553, 0.0091692373825344713, 0.0091684553045524465, 0.009167680851854168, 0.0091669160329041592, 0.0091661628985660916, 0.0091654235468848037, 0.009164700128588929, 0.0091639948533373851, 0.0091633099967272178, 0.0091626479080713624, 0.0091620110189431034, 0.0091614018524671919, 0.0091608230333153785, 0.0091602772983346032, 0.0091597675076974024, 0.0091592966564142866, 0.0091588678859845837, 0.0091584844958821528, 0.0091581499544731871, 0.0091578679088413339, 0.0091576421928477644, 0.0091574768325780546, 0.009157376048122232, 0.0091573442503996363, 0.0091573860314797147, 0.0091575061465716343, 0.0091577094855738467, 0.0091580010318131847, 0.009158385805395736, 0.0091588687884864208, 0.009159454829894699, 0.0091601485266476039, 0.0091609540808699902, 0.0091618751313614355, 0.0091629145608483412, 0.0091640742820591706, 0.0091653550085256351, 0.0091667560192681286, 0.0091682749300730643, 0.0091699074875558652, 0.0091716474051165061, 0.0091734862616000851, 0.0091754134832925625, 0.009177416427209574, 0.0091794805781155765, 0.0091815898633917717, 0.0091837270793384135, 0.0091858744108890989, 0.0091880140156128769, 0.0091901286340450496, 0.0091922021834046543, 0.0091942202916635643, 0.0091961707339505167, 0.0091980437427221853, 0.0091998321755648489, 0.0092015315380079669, 0.0092031398713993892, 0.0092046575261160793, 0.0092060868471715469, 0.0092074318023275484, 0.0092086975824348088, 0.0092098902006607572, 0.009211016112461912, 0.0092120818725753423, 0.0092130938397382324, 0.0092140579348688675, 0.0092149794543846929, 0.0092158629373073116, 0.0092167120827620422, 0.0092175297132699573, 0.0092183177786506754, 0.0092190773951928481, 0.009219808914811568, 0.0092205120190388939, 0.0092211858327690879, 0.0092218290526353604, 0.0092224400847077601, 0.009223017185895549, 0.0092235586030766335, 0.0092240627036604406, 0.0092245280911439926, 0.009224953699379812, 0.0092253388598663218, 0.0092256833374947285, 0.0092259873318827207, 0.0092262514436609599, 0.0092264766077253552, 0.0092266639983065776, 0.0092268149134375494, 0.0092269306486751461, 0.0092270123714132176, 0.0092270610075333905, 0.0092270771513213671, 0.0092270772922777126, 0.0092270777169010023, 0.0092270784310175807, 0.0092270794461967749, 0.0092270807824701376, 0.0092270824720044921, 0.0092270845636032318, 0.0092270871278861098, 0.0092270902629807625, 0.0092270941005506233, 0.0092270988119835945, 0.0092271046145732411, 0.009227111777539241, 0.0092271206277547632, 0.0092271315550739516, 0.0092271450171821923, 0.0092271615439223163, 0.0092271817410818253, 0.0092272062936565834, 0.0092272359686354638, 0.0092272716173768619, 0.0092273141776709512, 0.0092273646756017586, 0.0092274242273396399, 0.0092274940410082031, 0.0092275754187807445, 0.0092276697593701874, 0.0092277785610840948, 0.0092279034256234297, 0.0092280460628115721, 0.0092282082964488289, 0.0092283920714993726, 0.0092285994628323841, 0.0092288326857587928, 0.0092290941086307608, 0.0092293862678039032, 0.0092297118853045205, 0.0092300738895972987, 0.0092304754399157689, 0.0092309199547009526, 0.0092314111447975005, 0.0092319530521849224, 0.0092325500951813341, 0.0092332071212556533, 0.0092339294688314824, 0.0092347230397752389, 0.0092355943846496088, 0.0092365508033031389, 0.0092376004639883429, 0.0092387525449930188, 0.0092400174037868855, 0.0092414067799996523, 0.0092429340402566083, 0.0092446144751393722, 0.0092464656615009362, 0.0092485079073103584, 0.0092507648015073204, 0.0092532638985463166, 0.0092560375771796339, 0.0092591241267044686, 0.0092625691330698885, 0.0092664272644446492, 0.0092707645949706707, 0.0092756616625010342, 0.0092812175406798963, 0.0092875553331215003, 0.0092948296929332933, 0.0093032372768531296, 0.0093130315329686356, 0.0093245440238159602, 0.0093382158386964877, 0.009354644995341688, 0.0093746599422641526, 0.0093994371254066955, 0.0094306958759404237, 0.0094710351962484021, 0.0095245450393026086, 0.0095979830191328004, 0.0097032082958364661, 0.0098626891547061203, 0.01012349794911924, 0.010598869777559564, 0.011622271173287076, 0.014552153073247667, 0.029093763582792885, 0.056098067454522976, 0.017172137810740801, 0.011704832284081691, 0.010314340526123655, 0.0097863910584689868, 0.0095373587327106917, 0.0094030555921200999, 0.0093237719940562451, 0.0092738319919662502, 0.0092408095960845853, 0.00921813852845863, 0.0092021047756965235, 0.0091904906622693253, 0.0091819121877884432, 0.0091754733542369887, 0.0091705758699886075, 0.0091668095387067786, 0.0091638866386060391, 0.0091616013071151529, 0.0091598036620083589, 0.0091583828858729909, 0.009157255916490822, 0.0091563597312216867, 0.009155645987162073, 0.0091550772365615266, 0.0091546242147690395, 0.0091542638705121113, 0.009153977917738379, 0.0091537517589941903, 0.0091535736768597765, 0.0091534342210829161, 0.0091533257401754508, 0.0091532420207729726, 0.0091531780081918236, 0.0091531295887692654, 0.0091530934196793912, 0.0091530667956049184, 0.0091530475443392951, 0.0091530339453843711, 0.0091530246671004348, 0.0091530187190995323, 0.0091530154174521289, 0.0091530143609762239, 0.0091530154174521254, 0.0091530187190995288, 0.0091530246671004383, 0.0091530339453843729, 0.0091530475443392986, 0.0091530667956049201, 0.009153093419679393, 0.0091531295887692689, 0.0091531780081918184, 0.0091532420207729726, 0.0091533257401754508, 0.0091534342210829196, 0.0091535736768597765, 0.0091537517589941903, 0.0091539779177383773, 0.0091542638705121113, 0.0091546242147690429, 0.0091550772365615249, 0.0091556459871620713, 0.0091563597312216867, 0.009157255916490822, 0.0091583828858729961, 0.0091598036620083607, 0.0091616013071151511, 0.0091638866386060426, 0.009166809538706782, 0.0091705758699886092, 0.0091754733542369887, 0.0091819121877884467, 0.0091904906622693235, 0.0092021047756965253, 0.0092181385284586231, 0.0092408095960845905, 0.0092738319919662363, 0.0093237719940562468, 0.009403055592120008, 0.0095373587327106622, 0.0097863910584690336, 0.010314340526123669, 0.011704832284080218, 0.017172137810731385, 0.056098067454519229, 0.029093763582797531, 0.014552153073246707, 0.011622271173288104, 0.010598869777559923, 0.01012349794911932, 0.0098626891547062192, 0.0097032082958364435, 0.0095979830191328906, 0.0095245450393026745, 0.0094710351962484524, 0.0094306958759404289, 0.0093994371254067059, 0.0093746599422641526, 0.0093546449953416794, 0.0093382158386964825, 0.0093245440238159619, 0.0093130315329686391, 0.0093032372768531383, 0.0092948296929332985, 0.0092875553331215003, 0.0092812175406799032, 0.0092756616625010325, 0.0092707645949706725, 0.0092664272644446457, 0.0092625691330698919, 0.0092591241267044704, 0.0092560375771796374, 0.0092532638985463149, 0.009250764801507317, 0.0092485079073103584, 0.0092464656615009362, 0.0092446144751393705, 0.0092429340402566049, 0.0092414067799996558, 0.0092400174037868908, 0.0092387525449930171, 0.0092376004639883411, 0.0092365508033031424, 0.0092355943846496053, 0.0092347230397752389, 0.0092339294688314824, 0.0092332071212556516, 0.0092325500951813341, 0.0092319530521849224, 0.0092314111447975005, 0.0092309199547009543, 0.0092304754399157689, 0.0092300738895973004, 0.0092297118853045205, 0.0092293862678039032, 0.0092290941086307608, 0.0092288326857587911, 0.0092285994628323788, 0.0092283920714993709, 0.0092282082964488289, 0.0092280460628115703, 0.0092279034256234314, 0.0092277785610840948, 0.0092276697593701874, 0.0092275754187807445, 0.0092274940410082065, 0.0092274242273396416, 0.0092273646756017586, 0.0092273141776709477, 0.0092272716173768619, 0.0092272359686354603, 0.0092272062936565764, 0.0092271817410818253, 0.0092271615439223145, 0.0092271450171821957, 0.0092271315550739516, 0.0092271206277547597, 0.0092271117775392427, 0.0092271046145732342, 0.0092270988119835962, 0.0092270941005506216, 0.0092270902629807625, 0.0092270871278861116, 0.0092270845636032318, 0.0092270824720044903, 0.0092270807824701394, 0.0092270794461967749, 0.0092270784310175807, 0.0092270777169010023, 0.0092270772922777109, 0.0092270771513213688, 0.0092270772218524567, 0.0092270774349303263, 0.0092270777950854768, 0.0092270783101230467, 0.0092270789914992227, 0.0092270798548384023, 0.0092270809205815506, 0.009227082214753872, 0.0092270837698380636, 0.0092270856257376591, 0.009227087830813805, 0.0092270904429779515, 0.0092270935308225287, 0.0092270971747717805, 0.009227101468235157, 0.0092271065187467076, 0.0092271124490748858, 0.0092271193982887603, 0.0092271275227682036, 0.0092271369971477918, 0.0092271480151859056, 0.0092271607905530552, 0.0092271755575354022, 0.0092271925716518235, 0.0092272121101850124, 0.0092272344726291727, 0.0092272599810589023, 0.0092272889804255812, 0.009227321838789368, 0.0092273589474962357, 0.009227400721310933, 0.0092274475985176605, 0.0092275000410013495, 0.0092275585343230861, 0.0092276235878037561, 0.0092276957346305605, 0.0092277755320013064, 0.0092278635613215892, 0.0092279604284701885, 0.009228066764148158, 0.0092281832243271533, 0.0092283104908126284, 0.009228449271937892, 0.0092286003034049591, 0.0092287643492888448, 0.0092289422032220594, 0.0092291346897769577, 0.0092293426660643597, 0.0092295670235677842, 0.0092298086902340894, 0.0092300686328428277, 0.0092303478596784897, 0.0092306474235322282, 0.0092309684250621964, 0.0092313120165448612, 0.0092316794060534803, 0.0092320718621039782, 0.0092324907188137597, 0.009232937381624581, 0.0092334133336473886, 0.0092339201426948, 0.009234459469075796, 0.0092350330742376543, 0.0092356428303520047, 0.009236290730955948, 0.0092369789027751288, 0.009237709618874556, 0.0092384853133047409, 0.0092393085974361907, 0.0092401822782052206, 0.0092411093785290301, 0.0092420931601891361, 0.0092431371495309729, 0.0092442451663848103, 0.0092454213566814832, 0.0092466702293176155, 0.0092479966979218554, 0.0092494061282901267, 0.0092509043923973532, 0.0092524979300619391, 0.0092541938195435467, 0.0092559998586030923, 0.0092579246578574619, 0.009259977748633335, 0.0092621697079831693, 0.0092645123040931039, 0.0092670186660185269, 0.0092697034825639877, 0.0092725832362319724, 0.0092756764795641784, 0.0092790041629769743, 0.0092825900254656958, 0.0092864610624775155, 0.0092906480890411706, 0.0092951864211850144, 0.009300116705172539, 0.0093054859326932911, 0.0093113486916505256, 0.0093177687176946838, 0.0093248208327582124, 0.0093325933858652583, 0.0093411913518180907, 0.0093507403000603444, 0.0093613915267231774, 0.0093733287592816551, 0.0093867770136167698, 0.0094020144364963202, 0.0094193883492370151, 0.0094393372975633758, 0.0094624218382237824, 0.0094893682790327932, 0.0095211320338143921, 0.009558991385362009, 0.0096046896444927383, 0.0096606566517731546, 0.0097303648127621788, 0.0098189222278629931, 0.0099341027728293094, 0.01008822478287625, 0.01030178376055171, 0.01061099418688155, 0.011084891696815872, 0.011868731688201965, 0.013311668915306541, 0.016425903693657259, 0.025048920215134232, 0.057314300820718228, 0.072899739682415574, 0.01272865521092746, 0.010044676116778534, 0.0095051307063104603, 0.0093219553704156407, 0.0092424077035812308, 0.0092026176041846135, 0.0091808542452800138, 0.0091682289295663619, 0.0091606170582738834, 0.0091559202520062732, 0.0091529934561852318, 0.0091511764139404275, 0.0091500710963645353, 0.0091494286021380766, 0.0091490884234981529, 0.0091489442968025574, 0.0091489242395136981, 0.0091489784862369295, 0.0091490719875855046, 0.0091491796312382512, 0.0091492831350780419, 0.0091493689961487466, 0.0091494271257866414, 0.0091494499466540698, 0.0091494318170647904, 0.0091493687073713505, 0.0091492580978172512, 0.0091490991084813324, 0.0091488929209531337, 0.009148643623591194, 0.0091483597343280133, 0.0091480568792707672, 0.0091477625419056734, 0.0091475246923920627, 0.0091474280418013809, 0.0091476261182279733, 0.0091484083762160863, 0.0091503513220323098, 0.0091546925072654526, 0.0091643791561226325, 0.0091875650223193529, 0.0092527291192404607, 0.0095107478757217329, 0.012221031537507431, 0.016222097386309232, 0.010017730868325391, 0.0095057314693222789, 0.0093574109201351313, 0.0092924924208408286, 0.0092574427736787784, 0.009235935507414297, 0.009221546695812783, 0.0092113011627151051, 0.0092036545972950749, 0.0091977348482184858, 0.0091930163291380537, 0.0091891655910215087, 0.0091859620895338185, 0.0091832548674413237, 0.0091809375965698197, 0.0091789335491985289, 0.0091771862012533286, 0.0091756531625393888, 0.0091743021430578595, 0.0091731082044712534, 0.009172051845191688, 0.009171117639521411, 0.0091702932531635001, 0.0091695687194975634, 0.0091689358997955814, 0.0091683880753331802, 0.0091679196355145005, 0.0091675258368702894, 0.0091672026150506711, 0.0091669464369221829, 0.0091667541833546796, 0.0091666230557398316, 0.0091665505010399325, 0.0091665341514379928, 0.0091665717755917628, 0.0091666612391835718, 0.009166800472973434, 0.0091669874469517583, 0.009167220149484883, 0.0091674965705742691, 0.0091678146885273027, 0.0091681724594759768, 0.0091685678092886871, 0.0091689986275070735, 0.009169462763009107, 0.0091699580211551633, 0.0091704821622191242, 0.0091710329009426356, 0.0091716079070807248, 0.009172204806830675, 0.0091728211850558329, 0.0091734545882314021, 0.0091741025280521193, 0.0091747624856510276, 0.0091754319163863188, 0.0091761082551584591, 0.0091767889222233931, 0.0091774713294699439, 0.0091781528871302497, 0.0091788310108916124, 0.0091795031293771118, 0.0091801666919600535, 0.0091808191768746172, 0.0091814580995817786, 0.0091820810213460967, 0.0091826855579749071, 0.0091832693886678297, 0.0091838302649206206, 0.0091843660194238005, 0.0091848745748933994, 0.0091853539527685414, 0.0091858022817083943, 0.0091862178058200739, 0.0091865988925480396, 0.0091869440401567207, 0.0091872518847389319, 0.0091875212066853881, 0.0091877509365539609, 0.009187940160281724, 0.0091880881236883188, 0.009188194236225326, 0.0091882580739334092, 0.0091882793815768905, 0.0091882651752539131, 0.0091882225983937992, 0.0091881517771978255, 0.0091880529215852824, 0.0091879263245720592, 0.0091877723614066237, 0.0091875914884690345, 0.0091873842419403374, 0.0091871512362511135, 0.0091868931623191735, 0.0091866107855877142, 0.0091863049438763167, 0.009185976545057992, 0.0091856265645764053, 0.0091852560428178007, 0.0091848660823529004, 0.0091844578450638037, 0.0091840325491716213, 0.0091835914661798964, 0.009183135917748898, 0.0091826672725153439, 0.0091821869428714356, 0.0091816963817164254, 0.009181197079192736, 0.009180690559417802, 0.0091801783772215047, 0.0091796621148975428, 0.0091791433789757664, 0.0091786237970207969, 0.0091781050144605636, 0.0091775886914465619, 0.0091770764997457874, 0.009176570119662197, 0.0091760712369837322, 0.0091755815399486886, 0.009175102716222976, 0.0091746364498780549, 0.0091741844183566741, 0.0091737482894116464, 0.0091733297180007049, 0.0091729303431182328, 0.0091725517845427946, 0.0091721956394772135, 0.0091718634790563351, 0.0091715568446958436, 0.009171277244254171, 0.0091710261479783541, 0.0091708049842041187, 0.0091706151347800517, 0.0091704579301862404, 0.0091703346443185486, 0.0091702464889117149, 0.0091701946075771739, 0.009170180069435414, 0.0091702038623278585, 0.0091702668856001018, 0.0091703699424563467, 0.0091705137318953429, 0.0091706988402500012, 0.0091709257323670298, 0.0091711947424794275, 0.009171506064842995, 0.0091718597442287178, 0.0091722556663853712, 0.0091726935486108226, 0.0091731729305957171, 0.009173693165729066, 0.0091742534130804521, 0.0091748526302977539, 0.0091754895676805035, 0.0091761627637060861, 0.0091768705422978266, 0.0091776110121280681, 0.0091783820682445148, 0.0091791813962929861, 0.0091800064795821684, 0.009180854609195788, 0.0091817228973039497, 0.0091826082937582418, 0.0091835076059757666, 0.0091844175220272117, 0.0091853346367458, 0.009186255480571337, 0.009187176550740455, 0.0091880943443354395, 0.0091890053926151002, 0.0091899062959760903, 0.009190793758838009, 0.0091916646237129671, 0.0091925159037140394, 0.0091933448127780627, 0.0091941487929269629, 0.0091949255379662441, 0.0091956730131168909, 0.009196389470192903, 0.0091970734580656896, 0.0091977238282925922, 0.0091983397359236586, 0.0091989206356316699, 0.0091994662734308265, 0.0091999766743535993, 0.009200452126540493, 0.009200893162260762, 0.0092013005364232486, 0.0092016752031551189, 0.0092020182910242682, 0.0092023310774601279, 0.0092026149628914537, 0.0092028714450703743, 0.0092031020939942268, 0.0092033085277731293, 0.009203492389725166, 0.0092036553269155257, 0.0092037989702930222, 0.0092039249165191874, 0.0092040347115329799, 0.009204129835848807, 0.0092042116915479304, 0.009204281590893159, 0.0092043407464741083, 0.0092043902627749839, 0.0092044311290477663, 0.0092044642133711895, 0.0092044902577778261, 0.0092045098743391042, 0.0092045235421084962, 0.0092045316048373366, 0.0092045342693942416], [0.009216413675412892, 0.0092163951129756658, 0.0092163394696569822, 0.0092162468772808946, 0.0092161175550391598, 0.0092159518087239628, 0.0092157500296643925, 0.0092155126933767244, 0.0092152403579418285, 0.0092149336621255122, 0.0092145933232597593, 0.009214220134905627, 0.0092138149643202286, 0.0092133787497522546, 0.0092129124975921083, 0.0092124172794041531, 0.0092118942288697426, 0.0092113445386706079, 0.0092107694573430546, 0.009210170286133813, 0.0092095483758889863, 0.0092089051240073199, 0.0092082419714897279, 0.0092075604001163047, 0.0092068619297823329, 0.0092061481160245501, 0.0092054205477685013, 0.0092046808453279359, 0.0092039306586866078, 0.0092031716660930345, 0.009202405572998465, 0.0092016341113683175, 0.0092008590393974684, 0.0092000821416599442, 0.0091993052297236963, 0.0091985301432613697, 0.0091977587516883889, 0.0091969929563596852, 0.0091962346933563213, 0.0091954859368930907, 0.0091947487033771369, 0.0091940250561460511, 0.009193317110911205, 0.0091926270419278172, 0.0091919570889071843, 0.0091913095646773482, 0.0091906868635864558, 0.0091900914706259662, 0.0091895259712283933, 0.0091889930616646607, 0.0091884955599271512, 0.0091880364169350387, 0.0091876187278350716, 0.0091872457430918365, 0.0091869208789629331, 0.0091866477268342604, 0.009186430060745366, 0.009186271842262379, 0.0091861772216554304, 0.0091861505341093493, 0.0091861962894443754, 0.0091863191535567733, 0.0091865239195212302, 0.0091868154660524788, 0.0091871987008355881, 0.0091876784861511605, 0.0091882595443042985, 0.009188946340690821, 0.0091897429429880478, 0.009190652856031347, 0.0091916788335139627, 0.0091928226697786542, 0.0091940849776532205, 0.0091954649614265655, 0.0091969601974580158, 0.0091985664382077479, 0.0092002774581744912, 0.0092020849617196407, 0.0092039785724016086, 0.0092059459206843743, 0.0092079728414060005, 0.0092100436842809021, 0.0092121417305563915, 0.0092142496978632454, 0.0092163503048084561, 0.0092184268586225013, 0.0092204638246701429, 0.0092224473368060778, 0.0092243656125670388, 0.0092262092463543093, 0.0092279713656782288, 0.0092296476484061557, 0.0092312362109553507, 0.0092327373870129802, 0.009234153422731553, 0.0092354881171716856, 0.0092367464363534973, 0.0092379341263439385, 0.0092390573462487347, 0.0092401223366902416, 0.0092411351340894819, 0.0092421013363684183, 0.009243025921855318, 0.0092439131203169243, 0.0092447663331087053, 0.0092455880982835956, 0.0092463800959357301, 0.0092471431888741136, 0.009247877493733285, 0.0092485824776778122, 0.0092492570758309096, 0.0092498998243867522, 0.0092505090040309618, 0.00925108278782193, 0.0092516193871494731, 0.0092521171888994922, 0.0092525748766570225, 0.0092529915288344783, 0.0092533666871702069, 0.0092537003902270262, 0.0092539931683902621, 0.0092542459993918587, 0.0092544602264312339, 0.0092546374442723615, 0.0092547793619174243, 0.0092548876531779335, 0.0092549638082720844, 0.0092550090001308725, 0.0092550239781955656, 0.0092550241027706467, 0.0092550244751203117, 0.0092550250917603459, 0.0092550259490017921, 0.0092550270460468858, 0.0092550283891654362, 0.0092550299968039203, 0.0092550319054510184, 0.0092550341760638914, 0.0092550369008495212, 0.0092550402101957158, 0.009255044279555362, 0.0092550493361055804, 0.0092550556650279406, 0.0092550636152862152, 0.0092550736048119982, 0.0092550861250440802, 0.0092551017448037325, 0.0092551211135224239, 0.0092551449638710037, 0.0092551741138682374, 0.0092552094685715083, 0.0092552520214735316, 0.0092553028557455317, 0.0092553631454804133, 0.0092554341570990576, 0.0092555172510900355, 0.0092556138842584158, 0.009255725612663716, 0.0092558540954318438, 0.0092560010996313412, 0.0092561685064123621, 0.0092563583186176298, 0.0092565726700901321, 0.0092568138369232018, 0.0092570842509262768, 0.0092573865156156919, 0.0092577234250861215, 0.0092580979861764928, 0.0092585134444173531, 0.0092589733143380142, 0.0092594814148247977, 0.0092600419103625788, 0.0092606593591661283, 0.0092613387694250489, 0.0092620856651565997, 0.0092629061635000481, 0.0092638070657121447, 0.0092647959646624291, 0.0092658813723116937, 0.0092670728715327326, 0.0092683812977592192, 0.0092698189574085942, 0.0092713998919304735, 0.0092731401988379245, 0.0092750584244020006, 0.0092771760471334775, 0.0092795180771735111, 0.0092821138048883763, 0.0092849977432190641, 0.0092882108240076033, 0.0092918019306022503, 0.0092958298805512936, 0.0093003660177758338, 0.0093054976405323436, 0.0093113325913139339, 0.0093180054863982054, 0.0093256862972352552, 0.0093345923662721229, 0.0093450055384537659, 0.0093572970819480877, 0.0093719647634043779, 0.0093896894195107765, 0.0094114237923861033, 0.0094385366935428022, 0.0094730560274007471, 0.0095180971204776848, 0.0095786586290389601, 0.0096631989313726956, 0.0097870139580441603, 0.009980233154297807, 0.010309386655146045, 0.010947001531458158, 0.012463837451404279, 0.017701592086794615, 0.05114975415528341, 0.030325144321210688, 0.013814423151045925, 0.010956446427261696, 0.010065689718449844, 0.0096895521217561179, 0.009500408980998817, 0.0093939729614479859, 0.0093292106387808504, 0.0092874857641709625, 0.0092594090477756859, 0.009239863293911018, 0.0092258824097448556, 0.009215659741586061, 0.0092080490606325002, 0.0092022979231674244, 0.0091978978970180397, 0.0091944968011863776, 0.0091918453855773016, 0.0091897639022310226, 0.0091881205636832261, 0.0091868173208857328, 0.0091857802691807638, 0.0091849530504572278, 0.0091842922365588005, 0.0091837640481007184, 0.0091833419891294513, 0.0091830051198920088, 0.0091827367806949899, 0.0091825236389313347, 0.0091823549705116105, 0.0091822221132923341, 0.0091821180480907982, 0.009182037075333091, 0.0091819745641139681, 0.0091819267566436505, 0.0091818906155044268, 0.0091818637043714589, 0.0091818440952273726, 0.009181830296870315, 0.0091818212008547683, 0.0091818160420374488, 0.0091818143717185483, 0.0091818160420374488, 0.00918182120085477, 0.0091818302968703133, 0.0091818440952273744, 0.0091818637043714641, 0.0091818906155044268, 0.009181926756643654, 0.0091819745641139698, 0.0091820370753330893, 0.0091821180480907982, 0.0091822221132923324, 0.0091823549705116209, 0.0091825236389313347, 0.0091827367806949934, 0.0091830051198920053, 0.0091833419891294513, 0.0091837640481007201, 0.0091842922365588005, 0.0091849530504572278, 0.009185780269180762, 0.009186817320885738, 0.0091881205636832296, 0.0091897639022310261, 0.0091918453855772964, 0.0091944968011863758, 0.0091978978970180415, 0.0092022979231674244, 0.0092080490606324984, 0.0092156597415860627, 0.0092258824097448539, 0.0092398632939110197, 0.0092594090477756789, 0.0092874857641709677, 0.0093292106387808348, 0.0093939729614479807, 0.0095004089809986904, 0.0096895521217560728, 0.010065689718449917, 0.010956446427261735, 0.013814423151042345, 0.030325144321177246, 0.051149754155287316, 0.017701592086795621, 0.012463837451403732, 0.010947001531458738, 0.010309386655146297, 0.0099802331542978608, 0.0097870139580442383, 0.0096631989313726834, 0.009578658629039033, 0.0095180971204777351, 0.009473056027400794, 0.0094385366935428022, 0.0094114237923861171, 0.0093896894195107765, 0.0093719647634043692, 0.0093572970819480825, 0.0093450055384537642, 0.0093345923662721247, 0.0093256862972352639, 0.0093180054863982124, 0.0093113325913139339, 0.0093054976405323505, 0.0093003660177758303, 0.0092958298805512971, 0.0092918019306022503, 0.009288210824007612, 0.0092849977432190693, 0.009282113804888378, 0.0092795180771735094, 0.0092771760471334792, 0.0092750584244020006, 0.0092731401988379227, 0.0092713998919304718, 0.0092698189574085908, 0.0092683812977592209, 0.0092670728715327343, 0.009265881372311692, 0.0092647959646624273, 0.0092638070657121464, 0.0092629061635000464, 0.0092620856651565962, 0.0092613387694250454, 0.0092606593591661283, 0.0092600419103625754, 0.0092594814148247995, 0.0092589733143380142, 0.0092585134444173583, 0.009258097986176491, 0.0092577234250861198, 0.0092573865156156902, 0.0092570842509262768, 0.0092568138369232035, 0.0092565726700901303, 0.0092563583186176298, 0.0092561685064123621, 0.0092560010996313412, 0.0092558540954318404, 0.0092557256126637143, 0.0092556138842584158, 0.0092555172510900389, 0.0092554341570990576, 0.009255363145480415, 0.00925530285574553, 0.0092552520214735298, 0.0092552094685715066, 0.0092551741138682374, 0.009255144963871002, 0.0092551211135224205, 0.0092551017448037325, 0.0092550861250440802, 0.0092550736048119999, 0.0092550636152862152, 0.0092550556650279354, 0.0092550493361055804, 0.0092550442795553602, 0.0092550402101957176, 0.0092550369008495247, 0.0092550341760638914, 0.0092550319054510201, 0.0092550299968039186, 0.0092550283891654362, 0.0092550270460468858, 0.0092550259490017887, 0.0092550250917603424, 0.0092550244751203135, 0.0092550241027706467, 0.0092550239781955673, 0.0092550240405944381, 0.0092550242284078748, 0.0092550245435742192, 0.0092550249896151317, 0.0092550255720663666, 0.0092550262990692602, 0.0092550271821117153, 0.0092550282369047755, 0.00925502948437853, 0.0092550309517793489, 0.0092550326738487527, 0.0092550346940635068, 0.0092550370659160025, 0.0092550398542140238, 0.0092550431363795111, 0.0092550470037270245, 0.0092550515627038196, 0.0092550569360753399, 0.0092550632640418257, 0.0092550707052741661, 0.0092550794378592639, 0.0092550896601481022, 0.0092551015915019064, 0.0092551154729345365, 0.0092551315676516997, 0.0092551501614898685, 0.0092551715632601273, 0.0092551961050039329, 0.0092552241421699211, 0.0092552560537221776, 0.0092552922421919349, 0.0092553331336856226, 0.0092553791778633553, 0.0092554308479023614, 0.0092554886404604964, 0.0092555530756554434, 0.0092556246970751932, 0.0092557040718356295, 0.0092557917907010109, 0.0092558884682831192, 0.009255994743334767, 0.0092561112791532101, 0.0092562387641091839, 0.0092563779123170514, 0.009256529464461977, 0.009256694188800008, 0.0092568728823475936, 0.0092570663722775139, 0.0092572755175390365, 0.0092575012107211745, 0.0092577443801791261, 0.0092580059924457711, 0.00925828705495183, 0.0092585886190807692, 0.0092589117835872817, 0.009259257698411353, 0.0092596275689237721, 0.0092600226606433592, 0.0092604443044712256, 0.0092608939024934056, 0.0092613729344099525, 0.0092618829646564493, 0.009262425650293225, 0.0092630027497477441, 0.0092636161325081699, 0.0092642677898800464, 0.0092649598469344459, 0.0092656945757950346, 0.0092664744104336595, 0.0092673019631699573, 0.00926818004310089, 0.0092691116767216145, 0.0092701001310410164, 0.0092711489395446711, 0.0092722619314163732, 0.0092734432644989932, 0.0092746974625578134, 0.0092760294575085483, 0.0092774446373903533, 0.0092789489010068598, 0.0092805487203300469, 0.0092822512119702782, 0.0092840642192695416, 0.0092859964068848378, 0.0092880573701089909, 0.0092902577616448909, 0.009292609439129804, 0.0092951256374285661, 0.009297821170618047, 0.009300712669721007, 0.0093038188636838087, 0.0093071609129186939, 0.0093107628070686135, 0.0093146518416622782, 0.0093188591922297916, 0.0093234206095459508, 0.0093283772663747804, 0.0093337767949849583, 0.0093396745666063409, 0.0093461352800617379, 0.0093532349487007206, 0.0093610634049039621, 0.0093697274833809685, 0.0093793551035639203, 0.0093901005556453563, 0.0094021514165610852, 0.0094157377007561705, 0.0094311441165141601, 0.0094487267015756441, 0.0094689357337410952, 0.0094923477918781897, 0.0095197114208102184, 0.0095520134586640805, 0.0095905775048201556, 0.0096372137362670234, 0.0096944532695328132, 0.0097659265831429309, 0.0098569972632647357, 0.0099758694016456786, 0.010135622049724301, 0.010358177782174498, 0.010682631015359901, 0.011184391400151431, 0.012024622296033198, 0.013599148210185206, 0.017091509949426202, 0.02718274055557128, 0.065048652991204853, 0.015640202041176988, 0.010420960522105373, 0.0096292791019051919, 0.0093879007350224676, 0.0092887712577152774, 0.0092408118532454238, 0.0092151299765703305, 0.0092004318279802332, 0.0091916411653721799, 0.00918623567135151, 0.0091828636645895981, 0.0091807568078427423, 0.0091794572249117717, 0.0091786812845366401, 0.0091782475186486835, 0.0091780365861563427, 0.0091779681101194933, 0.0091779868035527963, 0.009178053908207924, 0.0091781417760159415, 0.0091782303663152445, 0.00917830494458108, 0.0091783545571131088, 0.0091783710248909758, 0.0091783483030007766, 0.0091782821197341664, 0.0091781698598046441, 0.0091780107021514606, 0.0091778060772062745, 0.0091775605886606267, 0.0091772836808633497, 0.0091769925844411519, 0.0091767175657840611, 0.009176511525178413, 0.0091764682152821637, 0.009176758536123349, 0.0091777073768377244, 0.0091799692875028528, 0.0091849718751579965, 0.0091961927962520458, 0.0092235860607780239, 0.0093039356547689502, 0.0096556956915931288, 0.015153366641371437, 0.01305330807622912, 0.0098805016430622214, 0.0094936339801574669, 0.0093695307660577268, 0.0093125856084762364, 0.0092809875208077139, 0.009261247704990214, 0.0092478730141359843, 0.009238259140356718, 0.0092310311305917048, 0.0092254024109947041, 0.0092208941594798446, 0.0092172001266131037, 0.009214116413981498, 0.0092115026913248427, 0.009209259661027815, 0.0092073153903243967, 0.009205616712359397, 0.009204123641859312, 0.0092028056464926577, 0.0092016390955518886, 0.0092006054758074496, 0.0091996901193341935, 0.0091988812804045302, 0.0091981694550381937, 0.0091975468722408533, 0.009197007108698493, 0.0091965447935740303, 0.0091961553799731893, 0.0091958349663730475, 0.0091955801559389285, 0.0091953879448922297, 0.0091952556333832463, 0.0091951807539666554, 0.0091951610139693954, 0.0091951942489153695, 0.0091952783848198855, 0.0091954114076524245, 0.0091955913386335148, 0.009195816214312022, 0.0091960840705848854, 0.0091963929299891996, 0.00919674079172806, 0.0091971256239951026, 0.0091975453582455145, 0.0091979978851271481, 0.0091984810518387292, 0.0091989926607251808, 0.0091995304689549955, 0.0092000921891531827, 0.0092006754908862069, 0.0092012780029142177, 0.0092018973161409022, 0.0092025309872032154, 0.0092031765426526541, 0.0092038314836868449, 0.0092044932913953516, 0.009205159432487087, 0.0092058273654687141, 0.0092064945472441935, 0.0092071584401050757, 0.0092078165190800088, 0.0092084662796097002, 0.0092091052455107857, 0.0092097309771889315, 0.0092103410800577854, 0.0092109332131165914, 0.0092115050976355854, 0.0092120545258944191, 0.0092125793699153122, 0.0092130775901296345, 0.009213547243913817, 0.0092139864939285738, 0.0092143936161942271, 0.0092147670078340568, 0.0092151051944185849, 0.0092154068368446428, 0.0092156707376856595, 0.0092158958469529331, 0.0092160812672118873, 0.0092162262580028041, 0.0092163302395214617, 0.0092163927955220895, 0.009216413675412892, 0.0092163997542814066, 0.0092163580322381436, 0.0092162886332139132, 0.0092161917633520104, 0.0092160677103989095, 0.0092159168428570665, 0.0092157396089054093, 0.0092155365350946629, 0.0092153082248261943, 0.0092150553566240651, 0.0092147786822115337, 0.0092144790244039782, 0.009214157274831403, 0.0092138143915041406, 0.0092134513962361751, 0.009213069371940965, 0.0092126694598145039, 0.0092122528564210215, 0.0092118208106960475, 0.0092113746208816599, 0.0092109156314080492, 0.009210445229735055, 0.009209964843166496, 0.0092094759356491449, 0.009208980004567012, 0.0092084785775407539, 0.0092079732092401004, 0.0092074654782162303, 0.0092069569837590053, 0.0092064493427827139, 0.0092059441867416939, 0.0092054431585758198, 0.0092049479096834204, 0.0092044600969176833, 0.0092039813796000632, 0.0092035134165423891, 0.0092030578630672606, 0.0092026163680139252, 0.0092021905707149534, 0.0092017820979268077, 0.0092013925606951891, 0.0092010235511343179, 0.0092006766390971134, 0.0092003533687116321, 0.0092000552547575835, 0.0091997837788551987, 0.0091995403854379845, 0.0091993264774800389, 0.0091991434119484908, 0.0091989924949521708, 0.0091988749765584965, 0.0091987920452526618, 0.009198744822016075, 0.0091987343540049522, 0.0091987616078152857, 0.0091988274623273168, 0.0091989327011307385, 0.0091990780045423451, 0.0091992639412397988, 0.009199490959549278, 0.0091997593784412576, 0.0092000693783068216, 0.0092004209916075191, 0.0092008140935137799, 0.0092012483926709535, 0.0092017234222564262, 0.0092022385315167366, 0.0092027928779979413, 0.0092033854207058206, 0.0092040149144526334, 0.0092046799056633814, 0.00920537872992481, 0.0092061095115634622, 0.0092068701655329925, 0.0092076584018745654, 0.0092084717329856802, 0.0092093074838918241, 0.0092101628056611776, 0.0092110346920354878, 0.0092119199992711908, 0.0092128154690959939, 0.0092137177545893404, 0.0092146234486949995, 0.0092155291149736886, 0.0092164313201083918, 0.0092173266675897782, 0.0092182118319382653, 0.0092190835927680737, 0.0092199388679699203, 0.0092207747452861429, 0.0092215885115759424, 0.0092223776791189056, 0.0092231400083806394, 0.0092238735267616973, 0.0092245765429657695, 0.009225247656749919, 0.0092258857639524981, 0.0092264900568272967, 0.0092270600198390285, 0.009227595421190735, 0.0092280963004533461, 0.0092285629527480394, 0.0092289959099914158, 0.0092293959197511672, 0.0092297639222755114, 0.0092301010262558405, 0.009230408483859821, 0.0092306876655353833, 0.0092309400350371693, 0.0092311671250702651, 0.0092313705138833864, 0.0092315518030799439, 0.009231712596851337, 0.0092318544827763374, 0.0092319790142741404, 0.009232087694748578, 0.0092321819634175913, 0.0092322631827859662, 0.0092323326276909073, 0.0092323914758282305, 0.0092324407996528315, 0.0092324815595386679, 0.0092325145980812866, 0.0092325406354282352, 0.0092325602655300518, 0.0092325739532150061, 0.0092325820320043588, 0.0092325847026013211], [0.0092452609188586835, 0.0092452427333940407, 0.0092451882201393751, 0.0092450975083603806, 0.0092449708129943697, 0.009244808433897099, 0.0092446107547988834, 0.0092443782419799007, 0.0092441114426777653, 0.0092438109832430563, 0.0092434775670604437, 0.0092431119722559182, 0.0092427150492122179, 0.0092422877179166411, 0.0092418309651668192, 0.0092413458416616828, 0.009240833459005858, 0.0092402949866565668, 0.0092397316488431469, 0.009239144721489536, 0.0092385355291706769, 0.0092379054421336693, 0.0092372558734150605, 0.0092365882760850546, 0.0092359041406496842, 0.0092352049926416636, 0.00923449239043031, 0.0092337679232809486, 0.0092330332096937189, 0.0092322898960516854, 0.009231539655608148, 0.009230784187842643, 0.0092300252182156636, 0.0092292644983517965, 0.0092285038066814758, 0.0092277449495714401, 0.0092269897629744663, 0.0092262401146288101, 0.0092254979068376632, 0.0092247650798586087, 0.0092240436159318918, 0.0092233355439745694, 0.0092226429449647866, 0.0092219679580359051, 0.009221312787293854, 0.0092206797093619414, 0.0092200710816447411, 0.009219489351285675, 0.0092189370647699723, 0.0092184168780950516, 0.0092179315673912646, 0.0092174840398264301, 0.0092170773445645424, 0.0092167146834703454, 0.0092163994211540007, 0.0092161350938313093, 0.0092159254163321682, 0.0092157742864209767, 0.009215685785396794, 0.0092156641737195042, 0.0092157138801647245, 0.0092158394827541144, 0.0092160456794535446, 0.0092163372464031824, 0.0092167189812747026, 0.0092171956292880497, 0.0092177717895240586, 0.0092184517995127727, 0.009219239596744493, 0.009220138556827023, 0.0092211513095740404, 0.0092222795364015862, 0.0092235237550217907, 0.0092248831004587591, 0.0092263551146592633, 0.0092279355600828721, 0.009229618275150819, 0.0092313950907273214, 0.0092332558262936282, 0.0092351883816411302, 0.0092371789344827798, 0.0092392122464770958, 0.0092412720703745083, 0.0092433416404191452, 0.0092454042182247322, 0.009247443658667847, 0.0092494449562812477, 0.0092513947330396858, 0.0092532816334202402, 0.0092550966015012524, 0.009256833026290618, 0.0092584867537316724, 0.0092600559752069912, 0.0092615410114557685, 0.0092629440167946442, 0.0092642686311499821, 0.0092655196069761116, 0.0092667024353270209, 0.0092678229910195236, 0.0092688872118184204, 0.0092699008215976989, 0.0092708691029903447, 0.0092717967214213798, 0.0092726875997220862, 0.0092735448407001778, 0.0092743706939519346, 0.0092751665626588237, 0.0092759330459154955, 0.0092766700121026564, 0.0092773766987940369, 0.0092780518345568583, 0.0092786937777025579, 0.0092793006665489713, 0.0092798705750982806, 0.0092804016672975703, 0.0092808923423580141, 0.009281341363129289, 0.0092817479594447215, 0.0092821118988545784, 0.0092824335184028186, 0.0092827137131597705, 0.0092829538800808485, 0.0092831558192685727, 0.0092833215985830015, 0.0092834533913591834, 0.009283553300256462, 0.0092836231824807158, 0.0092836644923648456, 0.0092836781563103536, 0.009283678284901245, 0.0092836786657958664, 0.0092836792850959342, 0.009283680122062557, 0.0092836811526575951, 0.009283682354314815, 0.0092836837117664349, 0.0092836852237172182, 0.0092836869101357283, 0.0092836888199213426, 0.0092836910387062675, 0.0092836936965634085, 0.0092836969754123925, 0.009283701115945623, 0.0092837064239317951, 0.0092837132757941226, 0.0092837221234017917, 0.0092837334980547196, 0.0092837480136809675, 0.0092837663693024937, 0.0092837893508568425, 0.009283817832489303, 0.0092838527774521257, 0.0092838952387641442, 0.0092839463597964023, 0.009284007374957718, 0.0092840796106590465, 0.0092841644867385307, 0.0092842635185303984, 0.0092843783197626862, 0.0092845106064706213, 0.0092846622021168571, 0.0092848350441171214, 0.009285031191980599, 0.0092852528372913499, 0.0092855023157793221, 0.0092857821217604136, 0.009286094925264575, 0.0092864435922218828, 0.0092868312081405505, 0.0092872611057913668, 0.0092877368975126558, 0.0092882625128739797, 0.0092888422425904688, 0.0092894807897704965, 0.0092901833298167629, 0.0092909555805974122, 0.0092918038848753132, 0.0092927353074517983, 0.0092937577500740373, 0.0092948800879104881, 0.0092961123323670094, 0.0092974658262654653, 0.0092989534790302482, 0.0093005900516536094, 0.0093023925040156379, 0.0093043804208669499, 0.0093065765377926268, 0.0093090073952657101, 0.0093117041581914813, 0.0093147036511997822, 0.0093180496779303231, 0.0093217947180338212, 0.0093260021321743183, 0.0093307490585351396, 0.0093361302629814437, 0.0093422633232127222, 0.0093492957080501104, 0.0093574145951421089, 0.0093668607202493266, 0.009377948285916789, 0.0093910941891475908, 0.0094068619548464058, 0.0094260295585591111, 0.0094496973569304157, 0.0094794659465063675, 0.0095177413946770234, 0.0095682846840720003, 0.0096372588578625112, 0.0097353682885329904, 0.0098826242027315464, 0.010120207122762154, 0.010544708923404505, 0.011429900602130592, 0.013821468149866492, 0.02441690183638575, 0.064478619862613024, 0.019316322845905218, 0.012164619576446701, 0.010504044528619779, 0.0099019042218578286, 0.0096252784636672254, 0.009478578318814157, 0.0093929578956835347, 0.0093394592737036531, 0.0093042893847735987, 0.0092802463221128718, 0.0092632942859956838, 0.0092510412444361759, 0.0092420033221229294, 0.0092352245922526673, 0.0092300693585979157, 0.0092261032737213887, 0.0092230225552049766, 0.0092206103795332908, 0.0092187092102111109, 0.0092172027742579033, 0.0092160040492768984, 0.0092150470905415695, 0.0092142813673342615, 0.0092136677725505618, 0.0092131757687630086, 0.0092127813191390379, 0.0092124653687196516, 0.0092122127170725931, 0.0092120111728909559, 0.0092118509141704708, 0.0092117239999931905, 0.0092116239953295327, 0.0092115456809794723, 0.0092114848283227999, 0.0092114380239341279, 0.0092114025330080809, 0.0092113761933838838, 0.0092113573340659588, 0.0092113447137241664, 0.0092113374758749957, 0.0092113351184044939, 0.0092113374758749974, 0.0092113447137241664, 0.0092113573340659588, 0.0092113761933838804, 0.0092114025330080843, 0.0092114380239341279, 0.0092114848283228069, 0.0092115456809794705, 0.0092116239953295292, 0.0092117239999931922, 0.0092118509141704673, 0.0092120111728909576, 0.0092122127170725914, 0.0092124653687196516, 0.0092127813191390361, 0.0092131757687630069, 0.0092136677725505652, 0.0092142813673342615, 0.0092150470905415661, 0.0092160040492768984, 0.0092172027742579033, 0.0092187092102111144, 0.0092206103795332891, 0.0092230225552049749, 0.0092261032737213887, 0.0092300693585979192, 0.009235224592252669, 0.0092420033221229294, 0.0092510412444361811, 0.0092632942859956838, 0.0092802463221128787, 0.0093042893847735831, 0.0093394592737036652, 0.0093929578956835225, 0.0094785783188141501, 0.0096252784636670502, 0.0099019042218577609, 0.01050404452861989, 0.012164619576446682, 0.019316322845895569, 0.064478619862582964, 0.024416901836386128, 0.013821468149866985, 0.011429900602130269, 0.010544708923404872, 0.010120207122762317, 0.0098826242027315932, 0.0097353682885330459, 0.009637258857862499, 0.0095682846840720627, 0.0095177413946770702, 0.0094794659465064057, 0.0094496973569304123, 0.0094260295585591181, 0.0094068619548464058, 0.0093910941891475856, 0.0093779482859167821, 0.0093668607202493318, 0.0093574145951421123, 0.0093492957080501225, 0.0093422633232127308, 0.0093361302629814402, 0.0093307490585351413, 0.0093260021321743165, 0.0093217947180338229, 0.0093180496779303214, 0.0093147036511997874, 0.0093117041581914865, 0.0093090073952657084, 0.0093065765377926234, 0.0093043804208669482, 0.0093023925040156413, 0.0093005900516536094, 0.0092989534790302482, 0.0092974658262654653, 0.0092961123323670129, 0.0092948800879104898, 0.0092937577500740373, 0.0092927353074517965, 0.0092918038848753149, 0.0092909555805974105, 0.0092901833298167612, 0.0092894807897705, 0.0092888422425904688, 0.0092882625128739797, 0.0092877368975126558, 0.0092872611057913668, 0.0092868312081405523, 0.0092864435922218828, 0.0092860949252645784, 0.0092857821217604136, 0.0092855023157793221, 0.0092852528372913499, 0.009285031191980599, 0.0092848350441171196, 0.0092846622021168571, 0.0092845106064706213, 0.0092843783197626897, 0.0092842635185303966, 0.0092841644867385307, 0.0092840796106590483, 0.009284007374957718, 0.0092839463597964057, 0.0092838952387641407, 0.0092838527774521257, 0.0092838178324893012, 0.009283789350856839, 0.0092837663693024937, 0.0092837480136809675, 0.0092837334980547213, 0.00928372212340179, 0.0092837132757941244, 0.0092837064239317969, 0.0092837011159456213, 0.0092836969754123925, 0.009283693696563405, 0.0092836910387062658, 0.0092836888199213426, 0.0092836869101357283, 0.0092836852237172182, 0.0092836837117664349, 0.0092836823543148133, 0.0092836811526575969, 0.009283680122062557, 0.0092836792850959308, 0.0092836786657958647, 0.0092836782849012433, 0.0092836781563103536, 0.0092836782207828313, 0.0092836784138497462, 0.0092836787345605271, 0.009283679181665408, 0.0092836797541102235, 0.0092836804517155112, 0.0092836812760265768, 0.0092836822313181883, 0.0092836833257347474, 0.0092836845725447568, 0.0092836859914864206, 0.0092836876101805368, 0.0092836894655859738, 0.0092836916054735794, 0.0092836940898944932, 0.0092836969926206152, 0.0092837004025361353, 0.0092837044249615003, 0.0092837091828933301, 0.0092837148181466305, 0.0092837214923883003, 0.0092837293880542199, 0.009283738709144701, 0.0092837496818964933, 0.0092837625553320174, 0.0092837776016892783, 0.0092837951167385486, 0.0092838154199937871, 0.0092838388548291285, 0.0092838657885121658, 0.0092838966121674155, 0.0092839317406842904, 0.0092839716125850368, 0.0092840166898685243, 0.0092840674578462627, 0.0092841244249874093, 0.0092841881227893035, 0.0092842591056902218, 0.0092843379510408088, 0.0092844252591503494, 0.0092845216534238901, 0.009284627780605733, 0.0092847443111449598, 0.009284871939697974, 0.0092850113857834392, 0.0092851633946046952, 0.0092853287380550466, 0.0092855082159217471, 0.0092857026573048857, 0.0092859129222683402, 0.0092861399037408726, 0.0092863845296869314, 0.0092866477655681977, 0.0092869306171190751, 0.0092872341334615891, 0.0092875594105881615, 0.0092879075952438835, 0.0092882798892439302, 0.0092886775542662565, 0.0092891019171648485, 0.0092895543758549776, 0.009290036405828813, 0.009290549567367792, 0.0092910955135273761, 0.0092916759989807498, 0.0092922928898200776, 0.0092929481744286335, 0.0092936439755535432, 0.0092943825637283005, 0.0092951663722167857, 0.0092959980136767973, 0.0092968802987719607, 0.0092978162569970265, 0.0092988091600241431, 0.0092998625479278688, 0.0093009802587063744, 0.0093021664615865821, 0.0093034256946854799, 0.0093047629077001974, 0.0093061835104201341, 0.009307693427999645, 0.009309299164105108, 0.0093110078732630275, 0.0093128274439947083, 0.0093147665946396764, 0.0093168349841588356, 0.0093190433406877791, 0.0093214036112048409, 0.0093239291364183262, 0.0093266348559032045, 0.0093295375496829161, 0.0093326561239258452, 0.0093360119503028728, 0.0093396292709553748, 0.0093435356841209197, 0.0093477627294845239, 0.0093523465975794435, 0.0093573289944851711, 0.0093627582022650802, 0.0093686903879007868, 0.0093751912301249588, 0.0093823379562687978, 0.0093902219125597732, 0.0093989518349652332, 0.0094086580492634322, 0.009419497916996521, 0.0094316629713479469, 0.0094453883741717915, 0.0094609656048529923, 0.0094787597161280161, 0.0094992331489031981, 0.009522979135893261, 0.0095507694008512278, 0.0095836236383647529, 0.0096229129910805587, 0.0096705180537890942, 0.0097290770533031493, 0.0098023884584821537, 0.0098960888871045191, 0.010018845193074027, 0.010184561035212633, 0.010416720439029749, 0.010757605612049923, 0.011289786267508636, 0.012192645192255902, 0.013916890091951174, 0.017855082222187488, 0.029757120524205091, 0.023166261689734867, 0.011012275729927362, 0.0097900807409743718, 0.0094647181019727276, 0.0093396484505761015, 0.0092814133965547635, 0.0092509705983140813, 0.0092338154520588342, 0.0092236529487831342, 0.0092174342046324846, 0.0092135568573945576, 0.0092111238663794351, 0.0092096071563815864, 0.0092086828631173755, 0.0092081454884399214, 0.0092078608297805238, 0.0092077390417310313, 0.0092077186489178797, 0.0092077567590181271, 0.0092078229106543705, 0.009207895119806242, 0.0092079572953729094, 0.0092079975332480402, 0.0092080069945095922, 0.0092079791922816644, 0.0092079095891219286, 0.009207795463645984, 0.009207636056544552, 0.0092074330665959069, 0.0092071916563469247, 0.0092069222789683929, 0.0092066439200811142, 0.0092063899060275851, 0.0092062185930362195, 0.0092062338195193511, 0.0092066260565928423, 0.009207760616869105, 0.0092103825337769944, 0.0092161445627715333, 0.0092291719101204733, 0.0092617174586347266, 0.0093620050828941339, 0.0098579223689770207, 0.023307257382148418, 0.011640171228165335, 0.0097892212177845897, 0.0094893540716910058, 0.0093844485176571499, 0.0093342282160916792, 0.0093056491959622577, 0.0092874930028775358, 0.0092750426369827919, 0.0092660119116782375, 0.0092591741753125911, 0.0092538189844223705, 0.0092495096416939527, 0.0092459646484864492, 0.0092429953813993344, 0.0092404713311363979, 0.0092382997367303557, 0.0092364131467956821, 0.0092347615464202278, 0.0092333072172295205, 0.0092320212895474884, 0.0092308813735148387, 0.0092298698964409474, 0.0092289729133570551, 0.0092281792413727824, 0.0092274798198692335, 0.0092268672309617546, 0.0092263353355264439, 0.009225878993785042, 0.0092254938486056627, 0.0092251761559075437, 0.0092249226508603378, 0.0092247304415818358, 0.0092245969241768287, 0.0092245197144964191, 0.0092244965931143185, 0.0092245254608379675, 0.0092246043026819637, 0.0092247311586891589, 0.0092249041003311955, 0.0092251212114854587, 0.0092253805731897908, 0.0092256802515353585, 0.0092260182881831777, 0.009226392693088184, 0.0092268014390936709, 0.009227242458121853, 0.0092277136387371728, 0.0092282128249003108, 0.0092287378157641809, 0.0092292863663906693, 0.00922985618928885, 0.0092304449566936141, 0.0092310503035178942, 0.0092316698309234651, 0.0092323011104639557, 0.0092329416887608241, 0.0092335890926778207, 0.0092342408349627633, 0.0092348944203273168, 0.009235547351936298, 0.0092361971382770892, 0.0092368413003789621, 0.0092374773793495145, 0.009238102944192899, 0.0092387155998712063, 0.0092393129955668299, 0.0092398928330997936, 0.009240452875450304, 0.0092409909553330793, 0.0092415049837663264, 0.0092419929585754613, 0.0092424529727686625, 0.0092428832227195844, 0.0092432820160913282, 0.0092436477794348645, 0.0092439790653960907, 0.009244274559466541, 0.009244533086215383, 0.0092447536149435419, 0.0092449352647049048, 0.0092450773086450652, 0.0092451791776137198, 0.0092452404630138912, 0.0092452609188586835, 0.009245247280447377, 0.0092452064058132829, 0.0092451384166355437, 0.0092450435153126915, 0.0092449219843653684, 0.0092447741856058058, 0.009244600559079566, 0.0092444016217866371, 0.009244177966190226, 0.009243930258522914, 0.0092436592369011181, 0.0092433657092596318, 0.0092430505511190888, 0.0092427147031997597, 0.0092423591688957918, 0.0092419850116244578, 0.0092415933520648523, 0.0092411853653011009, 0.0092407622778845535, 0.0092403253648293601, 0.0092398759465553062, 0.009239415385791247, 0.0092389450844516212, 0.0092384664804975938, 0.009237981044793243, 0.009237490277966269, 0.0092369957072809383, 0.009236498883529792, 0.0092360013779490321, 0.0092355047791607692, 0.0092350106901435414, 0.0092345207252307465, 0.0092340365071345663, 0.009233559663991182, 0.0092330918264208577, 0.0092326346245943762, 0.0092321896852955582, 0.0092317586289669511, 0.0092313430667240928, 0.009230944597321513, 0.0092305648040515685, 0.0092302052515553113, 0.0092298674825227259, 0.0092295530142578498, 0.0092292633350830461, 0.0092289999005550436, 0.0092287641294648316, 0.0092285573995924911, 0.0092283810431884276, 0.0092282363421525189, 0.0092281245228842696, 0.009228046750778823, 0.0092280041243467826, 0.0092279976689399711, 0.0092280283300704424, 0.0092280969663171963, 0.0092282043418232367, 0.0092283511183960006, 0.0092285378472363004, 0.0092287649603349994, 0.0092290327615929101, 0.0092293414177376347, 0.0092296909491312445, 0.0092300812205847009, 0.0092305119323181951, 0.0092309826112309083, 0.0092314926026681506, 0.0092320410628976592, 0.0092326269525292177, 0.0092332490311308919, 0.0092339058533102911, 0.0092345957665384837, 0.0092353169109959093, 0.0092360672217124649, 0.0092368444332563849, 0.00923764608719717, 0.0092384695425260319, 0.0092393119891629755, 0.0092401704646123753, 0.0092410418737505686, 0.0092419230116411125, 0.0092428105891783664, 0.009243701261262045, 0.0092445916571081768, 0.009245478412209648, 0.0092463582013783737, 0.0092472277722338569, 0.0092480839784558518, 0.0092489238120936935, 0.0092497444342253925, 0.0092505432032859609, 0.0092513177004367557, 0.0092520657514241576, 0.0092527854444729076, 0.0092534751438729402, 0.0092541334990432003, 0.0092547594489853571, 0.0092553522221697025, 0.0092559113320174434, 0.0092564365682546584, 0.0092569279845081988, 0.0092573858825898293, 0.0092578107939705404, 0.0092582034589808616, 0.0092585648042866429, 0.0092588959191833662, 0.0092591980312293209, 0.0092594724817004464, 0.0092597207013014118, 0.0092599441865113524, 0.0092601444768817143, 0.009260323133541323, 0.0092604817191018884, 0.0092606217790985306, 0.0092607448250457778, 0.0092608523191412707, 0.0092609456606079412, 0.0092610261736308739, 0.00926109509681791, 0.0092611535740927311, 0.009261202646915585, 0.0092612432477191409, 0.0092612761944452938, 0.0092613021860710118, 0.0092613217990189459, 0.0092613354843584985, 0.0092613435657167009, 0.0092613462378339315], [0.0093512647812519969, 0.0093512469864399268, 0.0093511936442769276, 0.0093511048814333576, 0.0093509809085302459, 0.0093508220194000197, 0.0093506285900619053, 0.0093504010774217577, 0.0093501400177093529, 0.0093498460246684047, 0.0093495197875169116, 0.0093491620686979009, 0.0093487737014425025, 0.0093483555871690261, 0.0093479086927434323, 0.0093474340476279432, 0.0093469327409456023, 0.009346405918489533, 0.0093458547797064979, 0.009345280574684622, 0.0093446846011758494, 0.0093440682016834326, 0.0093434327606453718, 0.0093427797017440854, 0.0093421104853728485, 0.0093414266062892427, 0.0093407295914854412, 0.0093400209983052658, 0.0093393024128373414, 0.0093385754486137642, 0.009337841745643503, 0.0093371029698096127, 0.0093363608126594017, 0.0093356169916168439, 0.0093348732506465526, 0.0093341313613986652, 0.0093333931248644596, 0.0093326603735720774, 0.0093319349743517434, 0.0093312188316992551, 0.0093305138917653477, 0.0093298221469965571, 0.0093291456414502025, 0.0093284864768015015, 0.0093278468190541759, 0.0093272289059566239, 0.0093266350551128689, 0.00932606767276036, 0.009325529263163556, 0.0093250224385424876, 0.0093245499294164879, 0.0093241145951937845, 0.0093237194347752309, 0.0093233675968622601, 0.0093230623895630589, 0.0093228072887739932, 0.0093226059446731534, 0.0093224621854976451, 0.009322380017585577, 0.0093223636204486666, 0.0093224173354069118, 0.0093225456460715398, 0.0093227531487218625, 0.0093230445104094881, 0.0093234244124724263, 0.0093238974770988043, 0.0093244681747030461, 0.0093251407102376681, 0.0093259188872414044, 0.0093268059494996496, 0.0093278044017360076, 0.0093289158128024019, 0.00933014060737275, 0.0093314778550702832, 0.0093329250690583412, 0.0093344780290576506, 0.0093361306460524388, 0.0093378748870562508, 0.0093397007776531184, 0.0093415964971391933, 0.0093435485757301061, 0.0093455421956114889, 0.0093475615881960308, 0.0093495905098677709, 0.009351612769136446, 0.0093536127709803723, 0.0093555760405067221, 0.0093574896886767771, 0.0093593427877942271, 0.0093611266330509927, 0.0093628348773696114, 0.0093644635384464471, 0.0093660108876701502, 0.0093674772391663125, 0.0093688646628233355, 0.0093701766475810643, 0.0093714177408128676, 0.0093725931869494006, 0.0093737085843846515, 0.0093747695749673999, 0.0093757815756817346, 0.0093767495579317808, 0.0093776778764390299, 0.0093785701472250925, 0.0093794291724418645, 0.0093802569087888706, 0.0093810544757419838, 0.0093818221996147689, 0.0093825596894018676, 0.0093832659402592663, 0.0093839394602437017, 0.0093845784154932624, 0.009385180788362488, 0.0093857445421624674, 0.0093862677851882237, 0.0093867489257854365, 0.0093871868095054493, 0.0093875808291413124, 0.0093879309988515354, 0.009388237984854126, 0.0093885030874270615, 0.009388728172179105, 0.0093889155525977291, 0.0093890678304090064, 0.0093891877048105747, 0.0093892777655715191, 0.0093893402877188101, 0.0093893770465248699, 0.0093893891704488197, 0.009389389329162284, 0.0093893897964564856, 0.0093893905466391741, 0.0093893915396776485, 0.0093893927252664319, 0.009389394048300654, 0.0093893954555485555, 0.0093893969032775616, 0.0093893983655622092, 0.0093893998429899171, 0.0093894013714823192, 0.0093894030309644994, 0.0093894049536404831, 0.0093894073316690731, 0.009389410424076202, 0.009389414562786972, 0.0093894201577086923, 0.0093894277008442582, 0.0093894377694599546, 0.0093894510283728961, 0.0093894682314584286, 0.0093894902225071866, 0.0093895179355844294, 0.0093895523950612309, 0.009389594715498259, 0.0093896461015695043, 0.0093897078482159651, 0.0093897813412191812, 0.0093898680583829261, 0.0093899695715093049, 0.0093900875493539877, 0.0093902237617458743, 0.0093903800850595603, 0.0093905585092363374, 0.0093907611465614271, 0.0093909902424233731, 0.0093912481883069061, 0.0093915375373045794, 0.009391861022476574, 0.0093922215784442552, 0.0093926223666737918, 0.0093930668049942746, 0.0093935586020039968, 0.0093941017971543653, 0.0093947008074685874, 0.0093953604820609105, 0.0093960861658816449, 0.0093968837744376008, 0.0093977598816448547, 0.00939872182348463, 0.0093997778207856181, 0.0094009371252889405, 0.0094022101942227154, 0.0094036088999988228, 0.0094051467834504118, 0.0094068393614012182, 0.0094087045024989803, 0.0094107628894408244, 0.0094130385913726976, 0.0094155597779387225, 0.0094183596170342651, 0.009421477413018119, 0.009424960062814805, 0.0094288639367817763, 0.0094332573337180172, 0.0094382237216441098, 0.0094438660686191386, 0.0094503127080926355, 0.0094577253995830612, 0.0094663105859878367, 0.0094763353971099966, 0.0094881508540438659, 0.0095022262649227859, 0.0095192014906219785, 0.0095399686302019369, 0.0095658038582708688, 0.0095985882550550083, 0.0096411940970154222, 0.0096981961931458093, 0.0097772653161161977, 0.0098921131322451464, 0.010069340973722442, 0.010366480363437411, 0.010928296367035194, 0.012211474046627532, 0.016306856481871055, 0.040487927961214212, 0.037890140180598407, 0.014911359717976797, 0.011334583289979215, 0.010293180225011675, 0.0098690404291561888, 0.0096603494891985015, 0.0095445746480787765, 0.0094748193905289657, 0.0094301913634945566, 0.009400312687478608, 0.0093795882067560996, 0.0093648021908772916, 0.0093540092082990758, 0.0093459818015866874, 0.0093399178762593339, 0.0093352775063443149, 0.0093316878838417463, 0.0093288858652589395, 0.009326682110776436, 0.0093249380641183491, 0.0093235508053999758, 0.0093224428632505268, 0.0093215552268853131, 0.0093208424679321802, 0.0093202692805466805, 0.0093198079919351393, 0.0093194367475993127, 0.0093191381726759424, 0.009318898373812879, 0.0093187061877141614, 0.0093185526104871737, 0.0093184303610095807, 0.0093183335447220728, 0.0093182573934863979, 0.0093181980636938919, 0.0093181524795085558, 0.0093181182115443031, 0.0093180933837934393, 0.0093180766035089041, 0.0093180669101823634, 0.0093180637408886765, 0.0093180669101823616, 0.0093180766035089058, 0.0093180933837934393, 0.0093181182115443031, 0.0093181524795085593, 0.0093181980636938937, 0.0093182573934864031, 0.0093183335447220746, 0.0093184303610095772, 0.0093185526104871772, 0.009318706187714158, 0.0093188983738128825, 0.0093191381726759441, 0.0093194367475993127, 0.0093198079919351428, 0.009320269280546677, 0.0093208424679321854, 0.0093215552268853148, 0.0093224428632505268, 0.0093235508053999723, 0.0093249380641183526, 0.0093266821107764412, 0.0093288858652589412, 0.0093316878838417428, 0.0093352775063443149, 0.0093399178762593391, 0.0093459818015866891, 0.0093540092082990724, 0.0093648021908772951, 0.0093795882067560944, 0.0094003126874786114, 0.0094301913634945393, 0.0094748193905289779, 0.009544574648078754, 0.0096603494891985015, 0.0098690404291559199, 0.01029318022501156, 0.011334583289979328, 0.014911359717976871, 0.037890140180565163, 0.040487927961258878, 0.016306856481871308, 0.01221147404662775, 0.010928296367034991, 0.010366480363437659, 0.010069340973722566, 0.0098921131322451793, 0.0097772653161162446, 0.0096981961931458006, 0.0096411940970154743, 0.0095985882550550447, 0.0095658038582709017, 0.0095399686302019369, 0.009519201490621982, 0.0095022262649227807, 0.009488150854043859, 0.0094763353971099949, 0.0094663105859878367, 0.0094577253995830682, 0.0094503127080926407, 0.0094438660686191438, 0.0094382237216441064, 0.0094332573337180207, 0.0094288639367817728, 0.0094249600628148085, 0.0094214774130181173, 0.0094183596170342703, 0.0094155597779387225, 0.0094130385913726994, 0.0094107628894408244, 0.0094087045024989751, 0.0094068393614012182, 0.0094051467834504118, 0.0094036088999988211, 0.009402210194222712, 0.0094009371252889405, 0.0093997778207856215, 0.0093987218234846317, 0.0093977598816448529, 0.0093968837744376026, 0.0093960861658816449, 0.0093953604820609105, 0.0093947008074685857, 0.0093941017971543635, 0.0093935586020039985, 0.0093930668049942764, 0.0093926223666737953, 0.0093922215784442552, 0.0093918610224765775, 0.0093915375373045777, 0.0093912481883069061, 0.0093909902424233731, 0.0093907611465614289, 0.0093905585092363391, 0.0093903800850595603, 0.0093902237617458709, 0.0093900875493539895, 0.0093899695715093049, 0.0093898680583829261, 0.0093897813412191812, 0.0093897078482159651, 0.0093896461015695043, 0.0093895947154982572, 0.0093895523950612327, 0.0093895179355844328, 0.0093894902225071849, 0.0093894682314584251, 0.0093894510283728926, 0.0093894377694599528, 0.0093894277008442582, 0.0093894201577086923, 0.0093894145627869702, 0.009389410424076202, 0.0093894073316690748, 0.0093894049536404831, 0.0093894030309644976, 0.0093894013714823244, 0.0093893998429899154, 0.0093893983655622109, 0.0093893969032775651, 0.0093893954555485555, 0.0093893940483006592, 0.0093893927252664319, 0.0093893915396776467, 0.0093893905466391706, 0.0093893897964564838, 0.0093893893291622753, 0.0093893891704488197, 0.0093893892500571449, 0.009389389487436936, 0.0093893898783690838, 0.0093893904162074063, 0.0093893910924489499, 0.0093893918975161486, 0.0093893928217353376, 0.0093893938564920763, 0.0093893949955407875, 0.0093893962364437183, 0.0093893975821119566, 0.0093893990424204644, 0.0093894006358682409, 0.0093894023912551913, 0.0093894043493479191, 0.0093894065645082746, 0.0093894091062604913, 0.0093894120607752145, 0.0093894155322516056, 0.0093894196441818654, 0.0093894245404858457, 0.0093894303865069643, 0.0093894373698639247, 0.0093894457011562855, 0.0093894556145250867, 0.009389467368072708, 0.0093894812441491539, 0.0093894975495140282, 0.0093895166153861332, 0.0093895387973939922, 0.0093895644754424055, 0.0093895940535111879, 0.0093896279594031327, 0.0093896666444588245, 0.0093897105832561386, 0.0093897602733125588, 0.0093898162348080971, 0.0093898790103465087, 0.0093899491647719928, 0.0093900272850582778, 0.0093901139802862917, 0.009390209881726239, 0.0093903156430395276, 0.0093904319406152952, 0.0093905594740563373, 0.0093906989668287484, 0.0093908511670897157, 0.0093910168487080226, 0.0093911968124920798, 0.0093913918876409198, 0.0093916029334344502, 0.0093918308411801571, 0.0093920765364350935, 0.0093923409815234952, 0.0093926251783724886, 0.0093929301716909868, 0.0093932570525195325, 0.0093936069621826067, 0.0093939810966786087, 0.0093943807115475456, 0.0093948071272618103, 0.0093952617351914323, 0.0093957460042025341, 0.0093962614879556875, 0.0093968098329805291, 0.0093973927876136853, 0.00939801221189983, 0.009398670088570163, 0.0093993685352295464, 0.0094001098179031725, 0.0094008963661165821, 0.0094017307897094442, 0.009402615897614968, 0.0094035547188734223, 0.0094045505261915567, 0.0094056068624107786, 0.0094067275703073484, 0.0094079168262197945, 0.0094091791780842923, 0.0094105195885612041, 0.0094119434840587921, 0.0094134568106080674, 0.0094150660977216465, 0.0094167785315864387, 0.0094186020392043514, 0.0094205453854185259, 0.0094226182851602207, 0.009424831533741438, 0.0094271971586268131, 0.009429728596875752, 0.0094324409033950587, 0.0094353509963371988, 0.0094384779474930187, 0.0094418433274557068, 0.0094454716178043168, 0.009449390705744019, 0.0094536324807833454, 0.0094582335584503744, 0.0094632361632001737, 0.0094686892121720011, 0.0094746496542034032, 0.0094811841357619643, 0.0094883710890346553, 0.0094963033699753396, 0.0095050916195754138, 0.0095148685858632998, 0.0095257947360759768, 0.0095380656218397378, 0.0095519216566311103, 0.0095676612587353126, 0.0095856587605213234, 0.0096063891795150728, 0.0096304630475232307, 0.0096586762787474675, 0.0096920830254929712, 0.0097321045455220634, 0.0097806960624531487, 0.0098406099779185293, 0.0099158249633375922, 0.010012272566104197, 0.010139123461615149, 0.010311187237928357, 0.010553681747098871, 0.010912474934288034, 0.011478321712004027, 0.012451875171411463, 0.014349761279059941, 0.018825468747440344, 0.047992571805569921, 0.012100548412670276, 0.010083373208087802, 0.0096328732685407974, 0.0094728287436431184, 0.0094015073645217911, 0.0093652153583919269, 0.0093451120880944354, 0.0093333289732792802, 0.0093261588463874941, 0.0093216934179244648, 0.0093188814527961402, 0.0093171119726044756, 0.0093160141301113514, 0.0093153546107405151, 0.0093149821247470888, 0.0093147959954080345, 0.0093147276939950611, 0.009314729627610846, 0.0093147681403373383, 0.0093148190423924197, 0.0093148647024057663, 0.009314892136107103, 0.0093148917533605793, 0.0093148565628544712, 0.0093147817221665864, 0.0093146643852524396, 0.0093145038569880604, 0.0093143021316406099, 0.0093140649912145188, 0.0093138040092013777, 0.0093135401225397218, 0.0093133100662280317, 0.0093131782942268392, 0.0093132599766698743, 0.0093137677460673664, 0.0093151131993100562, 0.0093181465879643259, 0.0093247882334263968, 0.009339957505372698, 0.0093788671666924315, 0.0095057772653638489, 0.010235035584327916, 0.041710779091339925, 0.01098569324501442, 0.009804769741458998, 0.0095675475025452927, 0.0094781355632237493, 0.0094336668778961814, 0.0094077646780914674, 0.0093910481719898676, 0.0093794540112743345, 0.0093709715024688882, 0.00936450513861504, 0.009359412913820286, 0.0093552965068341432, 0.009351897218680268, 0.009349040629950376, 0.0093466054381638394, 0.0093445050538189956, 0.0093426762830495363, 0.0093410721220715566, 0.0093396570288665805, 0.0093384037370929894, 0.0093372910582477271, 0.0093363023335307684, 0.0093354243227483404, 0.0093346463933380568, 0.0093339599193911996, 0.0093333578301448492, 0.0093328342665438824, 0.0093323843170771501, 0.0093320038125477341, 0.0093316891652032701, 0.0093314372416442876, 0.0093312452617312271, 0.0093311107177045331, 0.0093310313091676984, 0.0093310048906288696, 0.0093310294290667832, 0.0093311029695595672, 0.0093312236074459751, 0.0093313894658148613, 0.0093315986773695736, 0.0093318493699068045, 0.0093321396548004358, 0.0093324676179993935, 0.009332831313142196, 0.0093332287564658837, 0.0093336579232470573, 0.0093341167455613695, 0.0093346031111871605, 0.0093351148635110251, 0.0093356498023192472, 0.0093362056853802406, 0.0093367802307405059, 0.0093373711196703766, 0.0093379760002070197, 0.0093385924912506267, 0.0093392181871764131, 0.0093398506629295795, 0.0093404874795736809, 0.0093411261902643823, 0.0093417643466213608, 0.0093423995054703057, 0.0093430292359257747, 0.0093436511267834099, 0.0093442627941872566, 0.0093448618895346693, 0.0093454461075778549, 0.009346013194677141, 0.0093465609571574369, 0.0093470872697156981, 0.0093475900838234805, 0.0093480674360658846, 0.0093485174563553673, 0.0093489383759568865, 0.00934932853525983, 0.0093496863912310921, 0.0093500105244847635, 0.009350299645904548, 0.0093505526027576856, 0.0093507683842422341, 0.0093509461264136649, 0.0093510851164419519, 0.0093511847961562141, 0.0093512447648404929, 0.0093512647812519969, 0.0093512514358195294, 0.0093512114393454158, 0.0093511449111815144, 0.0093510520498554742, 0.0093509331324851779, 0.0093507885139646474, 0.0093506186259266662, 0.0093504239754891132, 0.0093502051437932641, 0.0093499627843434564, 0.0093496976211589027, 0.0093494104467491644, 0.0093491021199259613, 0.0093487735634643684, 0.0093484257616273068, 0.0093480597575675683, 0.0093476766506215316, 0.0093472775935093573, 0.0093468637894557668, 0.0093464364892455222, 0.0093459969882272592, 0.0093455466232785361, 0.0093450867697444633, 0.0093446188383610393, 0.0093441442721734665, 0.0093436645434584777, 0.0093431811506583216, 0.0093426956153326371, 0.0093422094791328313, 0.0093417243008021376, 0.0093412416532023829, 0.0093407631203671713, 0.0093402902945787895, 0.0093398247734645945, 0.0093393681571064518, 0.0093389220451546295, 0.0093384880339358496, 0.0093380677135427442, 0.0093376626648901014, 0.0093372744567212472, 0.0093369046425457822, 0.0093365547574881507, 0.0093362263150246188, 0.0093359208035844847, 0.0093356396829902405, 0.0093353843807096916, 0.0093351562878926549, 0.0093349567551639801, 0.0093347870881449121, 0.0093346485426752095, 0.0093345423197097755, 0.0093344695598657473, 0.0093344313375988575, 0.0093344286549923508, 0.0093344624351468907, 0.0093345335151671215, 0.0093346426387487316, 0.0093347904483803493, 0.0093349774771866664, 0.0093352041404530847, 0.0093354707268885288, 0.0093357773897010353, 0.009336124137580613, 0.0093365108257055726, 0.009336937146911431, 0.0093374026231851995, 0.0093379065976716569, 0.0093384482274014198, 0.0093390264769718893, 0.0093396401134305494, 0.0093402877026240068, 0.0093409676072842632, 0.0093416779871244599, 0.0093424168012078979, 0.0093431818128357751, 0.0093439705971688145, 0.009344780551755718, 0.0093456089100868635, 0.0093464527582245854, 0.009347309054483827, 0.0093481746520503849, 0.0093490463243307738, 0.0093499207927322647, 0.0093507947564772272, 0.0093516649239671883, 0.0093525280451343951, 0.0093533809441553682, 0.0093542205518574433, 0.009355043937127841, 0.0093558483366380785, 0.0093566311822254385, 0.0093573901253269347, 0.0093581230579380895, 0.0093588281296655591, 0.0093595037605544561, 0.0093601486494934057, 0.0093607617781265758, 0.0093613424103271437, 0.0093618900874045223, 0.0093624046193239042, 0.0093628860723073744, 0.0093633347532575805, 0.0093637511914967646, 0.0093641361183449626, 0.0093644904450719199, 0.0093648152397497395, 0.0093651117035090849, 0.0093653811466645406, 0.0093656249651264799, 0.0093658446174620016, 0.0093660416029077275, 0.0093662174405767934, 0.009366373650042328, 0.0093665117334231773, 0.0093666331590454687, 0.009366739346707351, 0.0093668316545345645, 0.0093669113673814901, 0.0093669796867065641, 0.0093670377218316656, 0.0093670864824823737, 0.0093671268724990781, 0.0093671596846072666, 0.0093671855961382812, 0.0093672051655989009, 0.0093672188299983826, 0.0093672269028545509, 0.0093672295728160718], [0.0094297775222883257, 0.009429760169870403, 0.0094297081539175751, 0.0094296215981865897, 0.0094295007084533658, 0.009429345771789905, 0.0094291571555622407, 0.0094289353061589917, 0.0094286807474632441, 0.0094283940790829187, 0.0094280759743567942, 0.0094277271781560319, 0.0094273485045026448, 0.0094269408340282961, 0.0094265051112982865, 0.0094260423420270984, 0.0094255535902127204, 0.0094250399752181177, 0.0094245026688288026, 0.0094239428923159167, 0.0094233619135348588, 0.0094227610440890779, 0.0094221416365895261, 0.0094215050820393945, 0.0094208528073741141, 0.009420186273186297, 0.0094195069716648157, 0.0094188164247774025, 0.0094181161827254656, 0.0094174078226999264, 0.0094166929479666903, 0.0094159731873101112, 0.0094152501948630146, 0.0094145256503517238, 0.009413801259784773, 0.0094130787566137838, 0.009412359903395397, 0.0094116464939827688, 0.0094109403562749293, 0.0094102433555515713, 0.0094095573984196868, 0.0094088844373961169, 0.0094082264761471881, 0.0094075855754015975, 0.0094069638595460237, 0.0094063635239034198, 0.0094057868426809226, 0.0094052361775569821, 0.0094047139868541751, 0.0094042228352142869, 0.0094037654036533691, 0.0094033444998253557, 0.0094029630682606561, 0.0094026242002692058, 0.0094023311431023406, 0.0094020873078531561, 0.0094018962754375546, 0.0094017617998368996, 0.0094016878075976681, 0.0094016783923755558, 0.0094017378030855341, 0.0094018704239853326, 0.0094020807447925351, 0.0094023733187387076, 0.0094027527063307945, 0.009403223402565563, 0.0094037897454839047, 0.009404455804326849, 0.009405225246240663, 0.0094061011815498898, 0.0094070859891386641, 0.0094081811254838124, 0.0094093869233451231, 0.0094107023889330003, 0.0094121250093291333, 0.0094136505846959539, 0.0094152731019248141, 0.0094169846673073619, 0.0094187755150318582, 0.0094206341053717207, 0.0094225473211500908, 0.0094245007635958, 0.0094264791396548274, 0.009428466723215654, 0.0094304478638791607, 0.0094324075102604193, 0.0094343317115418088, 0.0094362080618031387, 0.0094380260565568586, 0.0094397773392324962, 0.0094414558258360155, 0.0094430577071104773, 0.0094445813377240315, 0.0094460270300971583, 0.0094473967757360035, 0.0094486939191849063, 0.0094499228092437739, 0.009451088449532196, 0.0094521961665844246, 0.0094532513091792024, 0.0094542589881736958, 0.0094552238621663873, 0.0094561499711127584, 0.0094570406176426539, 0.0094578982942316418, 0.0094587246534292083, 0.0094595205178651057, 0.0094602859265526858, 0.0094610202139027866, 0.0094617221176993196, 0.0094623899119492903, 0.0094630215599316395, 0.00946361488190825, 0.0094641677308620921, 0.009464678168389121, 0.0094651446316533269, 0.0094655660813358043, 0.0094659421200289692, 0.0094662730708165027, 0.0094665600070806821, 0.0094668047270496207, 0.0094670096702584392, 0.0094671777777853416, 0.0094673123034593083, 0.0094674165886473316, 0.0094674938179994221, 0.0094675467769070858, 0.0094675776327579238, 0.0094675877609265071, 0.0094675880022766241, 0.0094675887127326289, 0.0094675898524936176, 0.009467591358458833, 0.0094675931489426515, 0.0094675951300110875, 0.0094675972031936072, 0.0094675992742778072, 0.0094676012628644654, 0.0094676031123465173, 0.0094676047999791221, 0.0094676063467261529, 0.0094676078266009347, 0.0094676093752619692, 0.0094676111976752398, 0.0094676135747103485, 0.0094676168685943231, 0.0094676215272031343, 0.00946762808722219, 0.0094676371762538788, 0.0094676495139892694, 0.0094676659125931401, 0.0094676872764754474, 0.0094677146016393168, 0.0094677489748054879, 0.0094677915725176302, 0.0094678436604328405, 0.0094679065929981366, 0.0094679818137084325, 0.0094680708561357338, 0.0094681753459135484, 0.0094682970038572709, 0.0094684376504002837, 0.0094685992115286569, 0.0094687837264053817, 0.0094689933568886907, 0.0094692303991697757, 0.0094694972977839523, 0.0094697966622874687, 0.0094701312869411632, 0.0094705041738046471, 0.0094709185597224091, 0.0094713779477799184, 0.0094718861439276533, 0.0094724472996191109, 0.0094730659614920953, 0.009473747129350658, 0.0094744963239884253, 0.0094753196667494068, 0.0094762239731686609, 0.0094772168636001811, 0.009478306894457415, 0.0094795037146118439, 0.0094808182526801791, 0.0094822629424692381, 0.0094838519958594068, 0.0094856017350587723, 0.009487530999683403, 0.0094896616488425525, 0.0094920191847985211, 0.0094946335335049595, 0.0094975400293890871, 0.0095007806685898713, 0.0095044057186791497, 0.0095084758069970896, 0.0095130646592608316, 0.0095182627331207061, 0.0095241821007591952, 0.0095309631015434836, 0.0095387835453593049, 0.0095478716597450376, 0.009558524644886178, 0.0095711358205730554, 0.0095862352738546042, 0.0096045523322997612, 0.0096271144774969404, 0.0096554093865958094, 0.0096916611015417653, 0.0097393230869036399, 0.0098040086158143382, 0.0098953683476140711, 0.010031208580398755, 0.01024753707725359, 0.010626771076265633, 0.011394101250132014, 0.013359096747705652, 0.021178950220618241, 0.064365765823984247, 0.022502049112086885, 0.012870121927533368, 0.010851642435486926, 0.010156789080125385, 0.0098467314154007425, 0.0096852573780731969, 0.0095921455239409148, 0.0095344502666993153, 0.0094967442755929873, 0.0094710740333610634, 0.0094530259680328382, 0.0094400042689974095, 0.009430408609866733, 0.0094232132392589856, 0.0094177388528389437, 0.0094135228979352944, 0.0094102427857168606, 0.009407668813910074, 0.0094056344160796321, 0.0094040168538800321, 0.0094027243886044276, 0.0094016875775089128, 0.0094008532570162336, 0.0094001803126633234, 0.009399636659598757, 0.0093991970572856621, 0.0093988415080544924, 0.0093985540701584207, 0.0093983219690195012, 0.0093981349256587517, 0.0093979846451695947, 0.0093978644244619852, 0.0093977688498827639, 0.0093976935633309985, 0.0093976350812032226, 0.0093975906546340544, 0.0093975581625250094, 0.0093975360311090422, 0.0093975231755111469, 0.0093975189601009038, 0.0093975231755111417, 0.0093975360311090422, 0.0093975581625250076, 0.0093975906546340544, 0.0093976350812032261, 0.009397693563331002, 0.0093977688498827691, 0.0093978644244619852, 0.0093979846451695912, 0.00939813492565875, 0.0093983219690195012, 0.0093985540701584224, 0.0093988415080544924, 0.0093991970572856621, 0.0093996366595987604, 0.0094001803126633216, 0.0094008532570162388, 0.0094016875775089128, 0.0094027243886044276, 0.0094040168538800321, 0.0094056344160796373, 0.0094076688139100792, 0.0094102427857168588, 0.0094135228979352944, 0.0094177388528389454, 0.0094232132392589908, 0.0094304086098667365, 0.0094400042689974078, 0.0094530259680328417, 0.0094710740333610599, 0.0094967442755929908, 0.0095344502666992997, 0.0095921455239409321, 0.0096852573780731657, 0.009846731415400739, 0.010156789080124989, 0.010851642435486773, 0.012870121927533739, 0.022502049112086111, 0.064365765824001664, 0.021178950220632226, 0.013359096747705903, 0.011394101250132141, 0.010626771076265515, 0.010247537077253774, 0.010031208580398849, 0.0098953683476140971, 0.0098040086158143712, 0.0097393230869036312, 0.0096916611015418069, 0.0096554093865958424, 0.0096271144774969682, 0.0096045523322997629, 0.0095862352738546146, 0.0095711358205730554, 0.0095585246448861745, 0.0095478716597450289, 0.0095387835453593084, 0.0095309631015434888, 0.0095241821007592022, 0.0095182627331207095, 0.0095130646592608316, 0.0095084758069970913, 0.0095044057186791427, 0.009500780668589873, 0.0094975400293890837, 0.009494633533504963, 0.0094920191847985228, 0.009489661648842556, 0.009487530999683403, 0.0094856017350587706, 0.0094838519958594103, 0.0094822629424692381, 0.0094808182526801826, 0.0094795037146118456, 0.0094783068944574184, 0.0094772168636001811, 0.0094762239731686626, 0.0094753196667494034, 0.0094744963239884288, 0.0094737471293506563, 0.0094730659614920935, 0.0094724472996191092, 0.0094718861439276533, 0.0094713779477799201, 0.0094709185597224108, 0.0094705041738046454, 0.009470131286941165, 0.0094697966622874722, 0.0094694972977839523, 0.0094692303991697705, 0.0094689933568886924, 0.0094687837264053835, 0.0094685992115286569, 0.0094684376504002854, 0.0094682970038572727, 0.0094681753459135518, 0.0094680708561357338, 0.0094679818137084325, 0.0094679065929981349, 0.0094678436604328405, 0.0094677915725176268, 0.0094677489748054879, 0.0094677146016393151, 0.0094676872764754474, 0.0094676659125931401, 0.0094676495139892677, 0.0094676371762538805, 0.00946762808722219, 0.0094676215272031343, 0.0094676168685943196, 0.0094676135747103485, 0.0094676111976752433, 0.0094676093752619657, 0.0094676078266009364, 0.0094676063467261512, 0.0094676047999791239, 0.0094676031123465173, 0.0094676012628644637, 0.009467599274277809, 0.009467597203193602, 0.0094675951300110892, 0.0094675931489426515, 0.009467591358458833, 0.0094675898524936141, 0.0094675887127326289, 0.0094675880022766241, 0.0094675877609265071, 0.0094675878819422826, 0.0094675882422331874, 0.0094675888336654308, 0.0094675896431312741, 0.0094675906532120709, 0.0094675918430872173, 0.0094675931896703609, 0.0094675946689497473, 0.0094675962575059263, 0.0094675979341770199, 0.0094675996818394097, 0.0094676014892705069, 0.0094676033530596056, 0.0094676052795333362, 0.0094676072866630347, 0.0094676094059235466, 0.0094676116840752191, 0.0094676141848439501, 0.0094676169904776251, 0.0094676202031610188, 0.0094676239462752471, 0.0094676283654918942, 0.0094676336296960449, 0.0094676399317362558, 0.0094676474890034116, 0.0094676565438437006, 0.0094676673638142902, 0.0094676802417927482, 0.0094676954959540174, 0.009467713469630417, 0.0094677345310718464, 0.0094677590731245525, 0.009467787512847629, 0.0094678202910868578, 0.009467857872025651, 0.00946790074273288, 0.009467949412726908, 0.0094680044135747893, 0.0094680662985447851, 0.0094681356423299886, 0.0094682130408597093, 0.009468299111214688, 0.0094683944916616938, 0.0094684998418219472, 0.0094686158429877609, 0.0094687431986009585, 0.0094688826349066373, 0.0094690349017956723, 0.0094692007738493601, 0.0094693810516001693, 0.0094695765630228891, 0.0094697881652715567, 0.0094700167466785275, 0.0094702632290335487, 0.0094705285701625203, 0.0094708137668278024, 0.0094711198579744537, 0.0094714479283499048, 0.0094717991125280523, 0.0094721745993728984, 0.009472575636981645, 0.0094730035381525649, 0.0094734596864293127, 0.0094739455427806096, 0.0094744626529825043, 0.0094750126557801816, 0.009475597291917123, 0.0094762184141325111, 0.0094768779982422995, 0.0094775781554367697, 0.0094783211459471359, 0.0094791093942571836, 0.0094799455060629225, 0.0094808322872150623, 0.0094817727649164664, 0.0094827702114906529, 0.0094838281710892154, 0.0094849504897677964, 0.009486141349432993, 0.0094874053062499308, 0.0094887473342045118, 0.0094901728746392862, 0.0094916878927330216, 0.0094932989420760932, 0.0094950132387156411, 0.0094968387463138567, 0.0094987842743937748, 0.0095008595920525393, 0.0095030755600243322, 0.0095054442845971913, 0.0095079792976645802, 0.009510695768165392, 0.0095136107513924591, 0.0095167434842039871, 0.0095201157361540726, 0.0095237522291011338, 0.0095276811411372161, 0.0095319347149518258, 0.0095365499963393375, 0.0095415697359460643, 0.0095470434971863943, 0.0095530290264612527, 0.009559593959705728, 0.009566817963782108, 0.0095747954451035344, 0.0095836390052417321, 0.0095934838903210511, 0.0096044937771368345, 0.0096168683787033055, 0.0096308535582052355, 0.0096467549497208337, 0.0096649565564182194, 0.009685946532032242, 0.0097103535198667639, 0.0097389988243832201, 0.0097729728630564002, 0.0098137497948112846, 0.0098633638823317164, 0.0099246889026910531, 0.010001895919431155, 0.010101232943053293, 0.010232414488576114, 0.010411235124204632, 0.01066481478010776, 0.011043000115961536, 0.011645764489320977, 0.012698203607290374, 0.014794857193835676, 0.084310332141600802, 0.014121743520360781, 0.010442780344678142, 0.0097951211819964617, 0.0095861020187033817, 0.0094975705138181949, 0.0094538659862058068, 0.0094301100636627107, 0.0094163454897434589, 0.0094080198221617208, 0.0094028412049548312, 0.0093995684339062656, 0.0093974897048655689, 0.0093961775675503456, 0.0093953654189069345, 0.0093948816115942829, 0.0093946125980589375, 0.0093944814769000174, 0.0093944350741294157, 0.0093944359361809449, 0.0093944572459973858, 0.0093944795334895814, 0.0093944885223352283, 0.0093944737229175231, 0.0093944275407033782, 0.0093943447710314858, 0.009394222424452519, 0.0093940598915669988, 0.0093938595314892372, 0.0093936278788140475, 0.0093933778542929641, 0.0093931327227718738, 0.0093929332608919409, 0.0093928511239577371, 0.0093930148464400065, 0.0093936632452597309, 0.0093952629221995612, 0.0093987905529301398, 0.0094064938636327609, 0.0094242929798950582, 0.0094713184652824994, 0.0096351145207697279, 0.010773252647910615, 0.033022285015999894, 0.010617400953674876, 0.0098138484827294988, 0.0096227478825306242, 0.0095458983908258219, 0.0095063356716568684, 0.0094827905457497003, 0.009467370232306269, 0.009456559885235756, 0.0094485858800528125, 0.0094424677130541534, 0.0094376242855560045, 0.0094336918399446721, 0.0094304324159797549, 0.0094276846225959336, 0.0094253356626535535, 0.0094233046832729907, 0.0094215324695225457, 0.0094199748450616051, 0.0094185983200003008, 0.0094173771453965553, 0.0094162912734472616, 0.0094153249156544334, 0.0094144655047776332, 0.0094137029350347123, 0.0094130289976085656, 0.0094124369555681417, 0.0094119212198565342, 0.0094114770995984472, 0.0094111006077842764, 0.0094107883087250349, 0.0094105371973768805, 0.009410344603240953, 0.0094102081134027349, 0.0094101255106161571, 0.0094100947233164492, 0.0094101137851677185, 0.0094101808022896052, 0.0094102939267124031, 0.0094104513349181768, 0.0094106512105616054, 0.0094108917306470405, 0.0094111710545811307, 0.0094114873156327331, 0.00941183861442077, 0.0094122230141222146, 0.0094126385371493867, 0.0094130831630922489, 0.0094135548277589718, 0.0094140514231787036, 0.0094145707984555575, 0.009415110761383098, 0.0094156690807453217, 0.0094162434892433467, 0.0094168316869976294, 0.0094174313455838796, 0.0094180401125669583, 0.0094186556165016758, 0.009419275472372212, 0.0094198972874435984, 0.0094205186674992166, 0.0094211372234373637, 0.0094217505781989778, 0.0094223563739960527, 0.0094229522798076649, 0.0094235359991074064, 0.009424105277782327, 0.0094246579121998724, 0.0094251917573755888, 0.0094257047351906272, 0.009426194842604747, 0.0094266601598072767, 0.0094270988582461739, 0.0094275092084729947, 0.0094278895877407103, 0.0094282384872901703, 0.009428554519262099, 0.0094288364231721166, 0.0094290830718888625, 0.0094292934770582766, 0.0094294667939211364, 0.0094296023254760927, 0.0094296995259460486, 0.009429758003512298, 0.0094297775222883257, 0.0094297645086390894, 0.0094297255066368192, 0.0094296606330026237, 0.0094295700818885705, 0.0094294541243056685, 0.0094293131073285522, 0.0094291474530820291, 0.0094289576575163642, 0.0094287442889793294, 0.0094285079865942117, 0.009428249458454354, 0.0094279694796454323, 0.0094276688901078591, 0.0094273485923521104, 0.0094270095490404555, 0.0094266527804491348, 0.0094262793618246563, 0.0094258904206487321, 0.0094254871338255788, 0.0094250707248053501, 0.0094246424606569627, 0.0094242036491029007, 0.0094237556355279486, 0.0094232997999727265, 0.009422837554121875, 0.0094223703382958109, 0.009421899618453208, 0.0094214268832103609, 0.0094209536408816977, 0.0094204814165444861, 0.0094200117491285654, 0.0094195461885306468, 0.0094190862927504039, 0.0094186336250440643, 0.0094181897510889259, 0.00941775623615034, 0.0094173346422408155, 0.009416926525258584, 0.0094165334320911818, 0.0094161568976675256, 0.0094157984419399599, 0.0094154595667760577, 0.009415141752738004, 0.0094148464557259632, 0.0094145751034603875, 0.0094143290917770607, 0.0094141097807078893, 0.0094139184903200245, 0.0094137564962860163, 0.0094136250251582627, 0.0094135252493224887, 0.0094134582816070619, 0.0094134251695281758, 0.0094134268891552016, 0.009413464338585819, 0.0094135383310278587, 0.0094136495874929064, 0.0094137987291171062, 0.0094139862691368127, 0.0094142126045603462, 0.0094144780075934298, 0.0094147826168934495, 0.0094151264287475125, 0.0094155092882903559, 0.0094159308809006782, 0.0094163907239376218, 0.0094168881590021413, 0.009417422344930414, 0.0094179922517469636, 0.0094185966558222988, 0.0094192341364930307, 0.0094199030744092707, 0.0094206016518738871, 0.0094213278554287506, 0.0094220794809239082, 0.0094228541412746548, 0.0094236492770690388, 0.0094244621701335615, 0.0094252899600985145, 0.0094261296639275328, 0.0094269781982910337, 0.0094278324045719512, 0.0094286890761993494, 0.0094295449879140281, 0.0094303969264850733, 0.0094312417223222887, 0.0094320762813697966, 0.0094328976166264279, 0.0094337028786201857, 0.0094344893841702519, 0.0094352546428007368, 0.0094359963802256586, 0.009436712558401273, 0.0094374013917381643, 0.0094380613591753919, 0.0094386912119384624, 0.0094392899769257035, 0.0094398569557887831, 0.0094403917198866132, 0.0094408941013934839, 0.0094413641809287224, 0.0094418022721426062, 0.0094422089037416151, 0.0094425847994640422, 0.0094429308565254014, 0.0094432481230441283, 0.0094435377749330311, 0.0094438010927046078, 0.009444039438590757, 0.0094442542343236412, 0.0094444469398661298, 0.0094446190333216471, 0.0094447719921952021, 0.0094449072761226636, 0.0094450263111354547, 0.0094451304754833623, 0.0094452210870001104, 0.0094452993919651035, 0.0094453665553901351, 0.0094454236526417303, 0.0094454716622977865, 0.0094455114601310272, 0.0094455438141103024, 0.0094455693803139808, 0.0094455886996567314, 0.0094456021953409717, 0.009445610170957075, 0.0094456128091713696], [0.0094676763701853454, 0.0094676595017102547, 0.0094676089365267144, 0.0094675247952176016, 0.0094674072782812806, 0.0094672566654268875, 0.0094670733145976894, 0.0094668576607320216, 0.0094666102142742393, 0.0094663315594505481, 0.0094660223523265388, 0.0094656833186658532, 0.0094653152516110655, 0.0094649190092096526, 0.0094644955118093916, 0.0094640457393490463, 0.0094635707285710725, 0.0094630715701839833, 0.0094625494060028952, 0.0094620054260969588, 0.0094614408659730899, 0.0094608570038250805, 0.0094602551578777793, 0.0094596366838555664, 0.0094590029726042048, 0.0094583554478952937, 0.0094576955644417975, 0.009457024806153359, 0.0094563446846595029, 0.0094556567381288356, 0.0094549625304121334, 0.009454263650537113, 0.0094535617125825512, 0.0094528583559596539, 0.0094521552461283784, 0.0094514540757764595, 0.0094507565664891414, 0.0094500644709370526, 0.0094493795756095331, 0.0094487037041198416, 0.00944803872110727, 0.009447386536758931, 0.0094467491119707894, 0.0094461284641623473, 0.0094455266737526796, 0.0094449458912956342, 0.0094443883452590797, 0.0094438563504153986, 0.0094433523167874282, 0.0094428787590640564, 0.0094424383063609757, 0.009442033712153422, 0.0094416678641459778, 0.0094413437937686945, 0.0094410646848950269, 0.0094408338812645449, 0.00944065489195876, 0.0094405313941211769, 0.0094404672319324638, 0.0094404664106504717, 0.0094405330843077527, 0.0094406715354359051, 0.0094408861449717524, 0.0094411813503186715, 0.0094415615894199254, 0.0094420312286935901, 0.0094425944728363832, 0.0094432552548915326, 0.009444017105667472, 0.0094448830026596861, 0.009445855200126559, 0.0094469350439265101, 0.0094481227771101017, 0.0094494173449673705, 0.0094508162110458656, 0.0094523151982496001, 0.0094539083710675383, 0.0094555879757532695, 0.0094573444543794381, 0.009459166545723029, 0.009461041480736461, 0.0094629552731089854, 0.0094648930967238323, 0.0094668397326674539, 0.0094687800601222054, 0.0094706995593007524, 0.0094725847916664122, 0.0094744238236580767, 0.0094762065649862583, 0.0094779250006109209, 0.0094795733055512612, 0.009481147842243744, 0.0094826470498258087, 0.0094840712423471633, 0.0094854223378372498, 0.0094867035422346348, 0.00948791901170171, 0.0094890735143960021, 0.009490172109070643, 0.0094912198536404053, 0.0094922215526680211, 0.0094931815490160998, 0.0094941035619101229, 0.0094949905714427473, 0.0094958447480713443, 0.0094966674247896708, 0.0094974591092160717, 0.0094982195326466772, 0.0094989477329904069, 0.0094996421682757189, 0.0095003008569714935, 0.0095009215406165817, 0.0095015018631760817, 0.0095020395601729483, 0.0095025326490860117, 0.0095029796109408794, 0.0095033795516996644, 0.0095037323312867246, 0.0095040386482017139, 0.0095043000689738668, 0.0095045189944191755, 0.009504698558831657, 0.0095048424637034865, 0.0095049547538998518, 0.0095050395507310162, 0.0095051007621977761, 0.0095051417949040505, 0.0095051652939028217, 0.0095051729355233022, 0.0095051733178579262, 0.0095051744455814848, 0.009505176262002946, 0.009505178676422605, 0.0095051815696460106, 0.009505184801385156, 0.0095051882192509155, 0.0095051916689862168, 0.0095051950055539298, 0.0095051981046787165, 0.0095052008744473011, 0.009505203266595541, 0.009505205287150726, 0.0095052070061503787, 0.0095052085662201205, 0.0095052101898601624, 0.0095052121853570551, 0.0095052149513031262, 0.0095052189797657175, 0.0095052248582015077, 0.0095052332702551777, 0.0095052449956163892, 0.0095052609091345035, 0.0095052819794067406, 0.0095053092670639109, 0.0095053439229796574, 0.0095053871866253581, 0.0095054403847856864, 0.0095055049308400402, 0.0095055823248048812, 0.0095056741543220642, 0.0095057820967703478, 0.0095059079226724394, 0.0095060535005684118, 0.0095062208035307759, 0.0095064119175055015, 0.009506629051679906, 0.0095068745511022353, 0.0095071509118104906, 0.0095074607987710152, 0.0095078070669823728, 0.0095081927861688266, 0.0095086212695735198, 0.0095090961074675885, 0.0095096212061224275, 0.0095102008331541289, 0.009510839670349552, 0.0095115428753322108, 0.009512316153736506, 0.0095131658439477178, 0.0095140990169551316, 0.0095151235944867379, 0.0095162484893858545, 0.0095174837732066777, 0.0095188408773196273, 0.0095203328355281253, 0.0095219745784425134, 0.0095237832928246578, 0.0095257788630749955, 0.0095279844173606579, 0.0095304270081207534, 0.0095331384666186413, 0.0095361564849938546, 0.0095395259986127863, 0.0095433009690123662, 0.0095475467073327172, 0.0095523429360013443, 0.0095577878723160856, 0.009564003747216188, 0.0095711443718675699, 0.0095794056774278352, 0.0095890406550044015, 0.009600380947402341, 0.0096138687369517039, 0.0096301049982770101, 0.0096499245521016047, 0.0096745165320164216, 0.0097056248719732362, 0.009745896352250356, 0.0097995156894983317, 0.0098734358463526441, 0.0099799424141709565, 0.010142512376082829, 0.010410886731259764, 0.010906584100961479, 0.011995742297096535, 0.015226257337103848, 0.032183598670854421, 0.048325920579534998, 0.016412073583073918, 0.011777084159208188, 0.010530940185752883, 0.010043918153256315, 0.009810003368689639, 0.0096822164858112805, 0.009606012918370049, 0.0095576023114915375, 0.0095253474379703267, 0.0095030464343644934, 0.0094871667357110407, 0.0094755863561250264, 0.0094669740491844217, 0.0094604639059511879, 0.0094554752342761623, 0.009451608309839328, 0.0094485816986153281, 0.0094461933135539071, 0.0094442955137131988, 0.0094427787751756222, 0.0094415607406113204, 0.0094405787276611967, 0.0094397845109740995, 0.0094391406287187337, 0.0094386177297615219, 0.0094381926429651982, 0.0094378469551481964, 0.0094375659523477321, 0.0094373378239429821, 0.0094371530592969669, 0.0094370039870561289, 0.0094368844213791932, 0.0094367893892511705, 0.0094367149200436477, 0.0094366578835136383, 0.0094366158660990438, 0.0094365870780837528, 0.0094365702862565012, 0.0094365647682789159, 0.0094365702862565029, 0.0094365870780837476, 0.0094366158660990438, 0.0094366578835136383, 0.0094367149200436512, 0.0094367893892511705, 0.0094368844213791984, 0.0094370039870561324, 0.0094371530592969616, 0.0094373378239429821, 0.0094375659523477321, 0.0094378469551482033, 0.0094381926429651999, 0.0094386177297615219, 0.0094391406287187354, 0.0094397845109740995, 0.0094405787276611967, 0.0094415607406113222, 0.0094427787751756222, 0.0094442955137131988, 0.0094461933135539088, 0.0094485816986153316, 0.0094516083098393298, 0.0094554752342761571, 0.0094604639059511879, 0.0094669740491844269, 0.0094755863561250334, 0.0094871667357110372, 0.0095030464343644951, 0.0095253474379703301, 0.0095576023114915445, 0.0096060129183700212, 0.0096822164858113031, 0.0098100033686895991, 0.010043918153256304, 0.010530940185752211, 0.011777084159207819, 0.016412073583074741, 0.048325920579538141, 0.032183598670879388, 0.015226257337108641, 0.01199574229709662, 0.010906584100961569, 0.010410886731259677, 0.010142512376082958, 0.0099799424141710242, 0.0098734358463526684, 0.0097995156894983611, 0.0097458963522503491, 0.0097056248719732761, 0.0096745165320164493, 0.009649924552101629, 0.0096301049982770101, 0.0096138687369517108, 0.0096003809474023392, 0.009589040655004398, 0.0095794056774278318, 0.0095711443718675734, 0.0095640037472161914, 0.0095577878723160908, 0.0095523429360013477, 0.0095475467073327155, 0.0095433009690123714, 0.009539525998612788, 0.0095361564849938563, 0.0095331384666186465, 0.0095304270081207568, 0.0095279844173606562, 0.0095257788630749973, 0.0095237832928246544, 0.0095219745784425134, 0.0095203328355281253, 0.0095188408773196238, 0.0095174837732066794, 0.0095162484893858545, 0.0095151235944867397, 0.0095140990169551333, 0.0095131658439477195, 0.0095123161537365025, 0.0095115428753322108, 0.0095108396703495503, 0.0095102008331541272, 0.009509621206122424, 0.0095090961074675868, 0.0095086212695735198, 0.0095081927861688283, 0.0095078070669823711, 0.0095074607987710186, 0.0095071509118104924, 0.0095068745511022353, 0.0095066290516799042, 0.0095064119175054997, 0.0095062208035307794, 0.0095060535005684118, 0.0095059079226724359, 0.0095057820967703495, 0.0095056741543220608, 0.0095055823248048829, 0.0095055049308400402, 0.0095054403847856864, 0.0095053871866253581, 0.0095053439229796574, 0.0095053092670639126, 0.0095052819794067388, 0.0095052609091345053, 0.0095052449956163909, 0.0095052332702551742, 0.009505224858201506, 0.0095052189797657158, 0.0095052149513031297, 0.0095052121853570551, 0.0095052101898601606, 0.0095052085662201205, 0.009505207006150377, 0.0095052052871507278, 0.0095052032665955393, 0.0095052008744473029, 0.0095051981046787165, 0.0095051950055539298, 0.009505191668986215, 0.0095051882192509155, 0.0095051848013851525, 0.0095051815696460124, 0.0095051786764226015, 0.0095051762620029442, 0.0095051744455814883, 0.0095051733178579279, 0.0095051729355233039, 0.0095051731271381997, 0.0095051736976577809, 0.0095051746342656191, 0.009505175916127177, 0.0095051775151672752, 0.0095051793971352664, 0.0095051815229356459, 0.0095051838501962228, 0.009505186335041842, 0.0095051889340379472, 0.0095051916062656883, 0.0095051943154886888, 0.0095051970323712601, 0.0095051997367081552, 0.0095052024196274759, 0.0095052050857307099, 0.0095052077551368696, 0.0095052104654015385, 0.0095052132732856027, 0.0095052162563533434, 0.0095052195143839023, 0.0095052231705854383, 0.0095052273726056423, 0.0095052322933371607, 0.0095052381315207414, 0.0095052451121528034, 0.0095052534867079222, 0.0095052635331895237, 0.0095052755560250547, 0.0095052898858237114, 0.0095053068790166961, 0.0095053269174009691, 0.0095053504076083317, 0.0095053777805219584, 0.0095054094906624233, 0.0095054460155650968, 0.0095054878551701083, 0.0095055355312452898, 0.0095055895868617311, 0.0095056505859404741, 0.0095057191128878719, 0.0095057957723360797, 0.0095058811890042019, 0.0095059760076945995, 0.0095060808934381708, 0.0095061965318016094, 0.0095063236293693315, 0.0095064629144122528, 0.0095066151377556293, 0.0095067810738582101, 0.0095069615221154771, 0.0095071573084001357, 0.0095073692868542104, 0.0095075983419481633, 0.0095078453908239748, 0.0095081113859412335, 0.0095083973180472917, 0.0095087042194954511, 0.0095090331679382398, 0.0095093852904263986, 0.0095097617679486754, 0.0095101638404521405, 0.0095105928123885609, 0.0095110500588386146, 0.0095115370322733563, 0.0095120552700206171, 0.0095126064025139786, 0.0095131921624130623, 0.0095138143946970812, 0.0095144750678483967, 0.0095151762862604686, 0.0095159203040246741, 0.0095167095402741986, 0.0095175465962906228, 0.00951843427461126, 0.0095193756004130596, 0.0095203738454936199, 0.0095214325552227183, 0.0095225555789000878, 0.0095237471040297787, 0.0095250116951100233, 0.0095263543376437193, 0.0095277804882022924, 0.0095292961315293721, 0.0095309078458569538, 0.0095326228778324865, 0.0095344492287315324, 0.0095363957539677472, 0.0095384722783280751, 0.0095406897298738694, 0.0095430602960868884, 0.0095455976066342006, 0.0095483169481246858, 0.0095512355174885225, 0.0095543727222081563, 0.0095577505376674959, 0.0095613939345032799, 0.009565331392226574, 0.009569595519787321, 0.0095742238095324513, 0.0095792595586443978, 0.0095847530023243227, 0.0095907627166676689, 0.009597357367748487, 0.0096046179088789142, 0.0096126403632616642, 0.0096215393786368252, 0.0096314528105476208, 0.009642547691440231, 0.0096550280893541399, 0.0096691455766994405, 0.0096852133554894936, 0.0097036255841747975, 0.0097248842296697915, 0.0097496370093197431, 0.0097787320135421761, 0.0098132979941727757, 0.009854865157379716, 0.0099055517283588405, 0.0099683608247193925, 0.010047669294058072, 0.010150065165154428, 0.010285850497135856, 0.010471891296133516, 0.010737394514287924, 0.011136621570105582, 0.011779928083774765, 0.012920507052017166, 0.041539451367717646, 0.018717571989576267, 0.010925072969265461, 0.0099484350370266858, 0.0096688669981184472, 0.009557327466041864, 0.0095041363282593657, 0.0094758308318898758, 0.009459639995307861, 0.0094499138789521479, 0.0094438755824899061, 0.0094400482998061204, 0.0094375969850068742, 0.0094360257492170797, 0.009435028063834075, 0.0094344080071425297, 0.0094340367461480269, 0.0094338274613560459, 0.0094337203764245162, 0.0094336735470148762, 0.0094336570484181877, 0.009433649234236759, 0.0094336342979470418, 0.0094336006846467268, 0.0094335400864808908, 0.0094334468727924926, 0.0094333178897258053, 0.0094331526373234182, 0.0094329539166467299, 0.0094327291638604538, 0.0094324929028914793, 0.009432271155012991, 0.0094321094661905611, 0.0094320879762628766, 0.0094323509771352607, 0.0094331682734123418, 0.0094350720549364313, 0.0094391916814250548, 0.0094481784072420194, 0.0094692264367417858, 0.0095267346669993293, 0.0097430801833564493, 0.011670708703466778, 0.019308045527151291, 0.010371138329438073, 0.0097973569346818321, 0.0096409746889827199, 0.0095744076336823254, 0.0095390472291369301, 0.0095175802946190803, 0.0095033261574574458, 0.0094932317404574484, 0.0094857277301446923, 0.0094799344949577057, 0.0094753251002056768, 0.0094715668685029335, 0.0094684406599212113, 0.0094657969979203161, 0.0094635309147135752, 0.0094615668679687709, 0.0094598493442124947, 0.0094583368086073125, 0.0094569976956116915, 0.0094558076838847475, 0.0094547478019480491, 0.0094538030846322181, 0.0094529616028357841, 0.0094522137514030189, 0.0094515517187360766, 0.0094509690864991083, 0.0094504605238758411, 0.0094500215515234513, 0.0094496483575740586, 0.009449337652977478, 0.0094490865569179898, 0.0094488925054639419, 0.0094487531783418559, 0.0094486664399799671, 0.0094486302918822974, 0.009448642834071673, 0.0094487022338456145, 0.0094488067004706005, 0.0094489544647301926, 0.0094491437624658631, 0.0094493728214220807, 0.0094496398508423299, 0.0094499430333695959, 0.0094502805188891141, 0.0094506504200193193, 0.0094510508090112234, 0.0094514797158607826, 0.0094519351274747615, 0.0094524149877598749, 0.0094529171985290542, 0.0094534396211380638, 0.0094539800787817613, 0.0094545363593918734, 0.0094551062190885542, 0.0094556873861457117, 0.0094562775654362073, 0.0094568744433272539, 0.0094574756929991996, 0.009458078980162269, 0.0094586819691465079, 0.0094592823293390867, 0.0094598777419421815, 0.0094604659070221756, 0.0094610445508182539, 0.009461611433275393, 0.009462164355763223, 0.0094627011689384904, 0.00946321978070532, 0.0094637181642238562, 0.0094641943659143513, 0.0094646465134008758, 0.0094650728233362687, 0.0094654716090478864, 0.009465841287942563, 0.0094661803886084209, 0.0094664875575518198, 0.0094667615655086249, 0.0094670013132712727, 0.0094672058369761822, 0.0094673743127998092, 0.0094675060610168102, 0.0094676005493791598, 0.0094676573957815108, 0.0094676763701853454, 0.0094676637194795136, 0.0094676258053485573, 0.009467562741639849, 0.0094674747177259828, 0.0094673619979477475, 0.0094672249208396907, 0.0094670638981432815, 0.0094668794136143434, 0.0094666720216325852, 0.0094664423456221926, 0.00946619107629376, 0.0094659189697184551, 0.0094656268452465026, 0.0094653155832823965, 0.0094649861229300393, 0.0094646394595212912, 0.0094642766420414519, 0.0094638987704655838, 0.0094635069930190836, 0.0094631025033759201, 0.0094626865378072949, 0.0094622603722929865, 0.0094618253196069729, 0.0094613827263877424, 0.0094609339702029296, 0.0094604804566167464, 0.0094600236162671672, 0.0094595649019586295, 0.0094591057857744461, 0.0094586477562115488, 0.0094581923153383984, 0.0094577409759753379, 0.0094572952588945474, 0.0094568566900352629, 0.0094564267977276378, 0.009456007109916769, 0.0094555991513766979, 0.0094552044409017683, 0.0094548244884610708, 0.0094544607922997202, 0.0094541148359686689, 0.0094537880852632161, 0.0094534819850484227, 0.0094531979559482841, 0.0094529373908742338, 0.0094527016513672561, 0.0094524920637274312, 0.0094523099149041809, 0.0094521564481207382, 0.0094520328582071156, 0.009451940286617137, 0.0094518798161075616, 0.0094518524650603168, 0.0094518591814333596, 0.0094519008363310106, 0.009451978217191858, 0.0094520920206004628, 0.0094522428447395626, 0.009452431181511357, 0.009452657408370202, 0.0094529217799248413, 0.009453224419385977, 0.009453565309954063, 0.0094539442862632134, 0.0094543610260188413, 0.0094548150419892854, 0.009455305674533938, 0.009455832084872046, 0.0094563932493157213, 0.0094569879547072178, 0.0094576147953122722, 0.0094582721714274124, 0.009458958289957695, 0.009459671167211128, 0.0094604086341360076, 0.0094611683441959346, 0.009461947784034655, 0.0094627442870281585, 0.0094635550497559652, 0.0094643771513474775, 0.0094652075755763052, 0.0094660432354861379, 0.0094668810002417371, 0.0094677177238102084, 0.0094685502749959904, 0.0094693755682826591, 0.0094701905948786098, 0.0094709924533275952, 0.0094717783790297903, 0.0094725457720278294, 0.0094732922224449213, 0.0094740155330181163, 0.0094747137382467789, 0.0094753851197713259, 0.0094760282177052766, 0.0094766418377603846, 0.0094772250541238709, 0.0094777772081637846, 0.0094782979031477182, 0.0094787869952572424, 0.0094792445812625116, 0.0094796709832850479, 0.0094800667311214244, 0.0094804325426257972, 0.0094807693026555916, 0.0094810780410740786, 0.0094813599102781705, 0.009481616162682234, 0.0094818481285419386, 0.0094820571944493701, 0.0094822447827739142, 0.0094824123322666022, 0.0094825612799894193, 0.0094826930446785321, 0.0094828090116022713, 0.0094829105189322641, 0.0094829988456096269, 0.0094830752006585303, 0.0094831407138759333, 0.009483196427809289, 0.0094832432909228645, 0.0094832821518474972, 0.0094833137546077705, 0.0094833387347236196, 0.009483357616090652, 0.0094833708085531182, 0.0094833786060959917, 0.0094833811855971027], [0.0099390226844304087, 0.0099390057759597538, 0.0099389550909751937, 0.0099388707506151471, 0.0099387529562992901, 0.0099386019890169049, 0.0099384182083408074, 0.0099382020511763897, 0.0099379540302584717, 0.0099376747324110611, 0.009937364816587085, 0.0099370250117079371, 0.0099366561143241217, 0.0099362589861203155, 0.0099358345512895428, 0.009935383793802724, 0.0099349077546006491, 0.0099344075287365139, 0.0099338842624978677, 0.0099333391505370787, 0.0099327734330400819, 0.0099321883929629137, 0.0099315853533660375, 0.0099309656748758982, 0.0099303307533033427, 0.0099296820174481232, 0.0099290209271183892, 0.0099283489713940486, 0.0099276676671622623, 0.0099269785579533445, 0.0099262832131051439, 0.0099255832272836103, 0.0099248802203874449, 0.0099241758378645229, 0.0099234717514678234, 0.00992276966047838, 0.0099220712934230161, 0.009921378410313958, 0.0099206928054370713, 0.0099200163107145776, 0.0099193507996663266, 0.0099186981919913379, 0.0099180604587878491, 0.0099174396284244359, 0.0099168377930678921, 0.0099162571158629264, 0.0099156998387454412, 0.0099151682908527154, 0.0099146648974699839, 0.0099141921894221816, 0.0099137528127799662, 0.009913349538699219, 0.0099129852731508136, 0.0099126630662202068, 0.0099123861205620539, 0.0099121577984816901, 0.0099119816269805164, 0.0099118612999456041, 0.0099118006764849619, 0.0099118037742115233, 0.0099118747560665073, 0.0099120179090562994, 0.0099122376130725345, 0.0099125382977964163, 0.0099129243855885091, 0.0099134002182785837, 0.0099139699659508331, 0.0099146375162333118, 0.0099154063433162468, 0.0099162793570099807, 0.0099172587336627017, 0.0099183457327101793, 0.0099195405049889909, 0.0099208419015961533, 0.0099222472948048354, 0.0099237524250201416, 0.0099253512895514737, 0.0099270360895948023, 0.0099287972507772632, 0.0099306235295491142, 0.0099325022124806903, 0.0099344194083432532, 0.0099363604243333948, 0.0099383102089278252, 0.0099402538358688841, 0.0099421769979546309, 0.0099440664766858988, 0.0099459105549794917, 0.0099476993450403617, 0.0099494250114135901, 0.0099510818790327724, 0.0099526664263257601, 0.0099541771727603232, 0.0099556144775357781, 0.0099569802708331708, 0.0099582777409944565, 0.0099595110005002516, 0.0099606847512293852, 0.0099618039659092987, 0.0099628735985868872, 0.0099638983329328121, 0.0099648823736400508, 0.0099658292833162878, 0.0099667418651715779, 0.0099676220904187651, 0.0099684710685068803, 0.0099692890579226139, 0.0099700755151324559, 0.0099708291791116808, 0.0099715481886498772, 0.0099722302291005687, 0.0099728727043623226, 0.0099734729286021766, 0.0099740283305881187, 0.0099745366615942976, 0.0099749961958776681, 0.0099754059109829173, 0.0099757656339748285, 0.009976076139523905, 0.0099763391869685612, 0.0099765574863384856, 0.0099767345879613108, 0.0099768746965352723, 0.009976982417962417, 0.0099770624550046209, 0.0099771192749046351, 0.0099771567773589767, 0.0099771779935979247, 0.0099771848461134988, 0.0099771851243280318, 0.0099771859355837506, 0.0099771872110352086, 0.0099771888402771011, 0.009977190677654707, 0.0099771925507200765, 0.009977194270483122, 0.0099771956430428823, 0.0099771964821442714, 0.0099771966221900311, 0.0099771959312465082, 0.0099771943236127286, 0.0099771917715721376, 0.009977188316010837, 0.00997718407566019, 0.0099771792548012262, 0.0099771741493472257, 0.0099771691512973854, 0.0099771647516225127, 0.0099771615417035605, 0.0099771602134920787, 0.0099771615585984141, 0.0099771664665392317, 0.0099771759223907311, 0.0099771910040994255, 0.0099772128797004297, 0.0099772428046848837, 0.0099772821197460747, 0.0099773322491190589, 0.0099773946997135151, 0.0099774710612248029, 0.0099775630073959468, 0.0099776722985942465, 0.0099778007858609772, 0.0099779504165931985, 0.0099781232420225394, 0.0099783214266687386, 0.0099785472599658552, 0.0099788031702879049, 0.0099790917416387806, 0.0099794157333207359, 0.0099797781029576822, 0.0099801820333267691, 0.0099806309635472757, 0.0099811286252932015, 0.0099816790848408429, 0.0099822867919411307, 0.0099829566367274497, 0.0099836940161442331, 0.0099845049117242429, 0.0099853959809727208, 0.0099863746651596159, 0.009987449317010802, 0.0099886293526710822, 0.0099899254334465531, 0.0099913496843049149, 0.0099929159580331352, 0.0099946401564797571, 0.0099965406236635496, 0.009998638630019787, 0.010000958973121019, 0.010003530728482955, 0.01000638819547209, 0.010009572099230112, 0.010013131131956824, 0.010017123948937013, 0.010021621781114256, 0.010026711894265029, 0.010032502226805094, 0.01003912769333202, 0.010046758881363348, 0.010055614249159848, 0.010065977548703711, 0.010078223221709103, 0.010092854266598322, 0.010110560162401406, 0.010132308083142638, 0.010159491394213419, 0.01019418089470121, 0.010239569514827105, 0.010300802785510174, 0.010386633611650979, 0.010512994385246392, 0.010711532397759746, 0.011052917035501278, 0.011723340432280875, 0.01335390424096454, 0.019212861813196626, 0.055611201591369439, 0.027616148421243561, 0.014093242581684312, 0.011567430086349504, 0.010749915704866516, 0.01039744954603255, 0.010217806242838379, 0.010115725588857658, 0.010053135914344084, 0.010012551676565366, 0.0099850880515241838, 0.0099658698499782671, 0.0099520553992365913, 0.0099419055794510124, 0.0099343124294479571, 0.0099285459435880519, 0.009924111205566891, 0.0099206643466693816, 0.009917961307272273, 0.0099158256131119202, 0.0099141275515594925, 0.0099127703880817521, 0.0099116810460404686, 0.0099108036831992187, 0.009910095188147441, 0.0099095219736443311, 0.0099090576613069456, 0.0099086813886547428, 0.0099083765570662924, 0.0099081298963538435, 0.0099079307596059516, 0.009907770587540601, 0.0099076424991281463, 0.0099075409774016451, 0.0099074616279275288, 0.0099074009935118425, 0.0099073564131347911, 0.009907325916357056, 0.0099073081468824143, 0.0099073023108435833, 0.0099073081468824108, 0.0099073259163570578, 0.0099073564131347911, 0.0099074009935118425, 0.009907461627927534, 0.0099075409774016451, 0.009907642499128148, 0.0099077705875406062, 0.0099079307596059499, 0.0099081298963538435, 0.0099083765570662907, 0.0099086813886547463, 0.0099090576613069456, 0.0099095219736443311, 0.009910095188147441, 0.009910803683199217, 0.0099116810460404721, 0.0099127703880817538, 0.0099141275515594925, 0.0099158256131119202, 0.009917961307272273, 0.0099206643466693851, 0.009924111205566891, 0.0099285459435880536, 0.0099343124294479588, 0.0099419055794510228, 0.0099520553992366, 0.0099658698499782671, 0.0099850880515241908, 0.010012551676565366, 0.01005313591434409, 0.010115725588857623, 0.010217806242838414, 0.010397449546032493, 0.010749915704866509, 0.011567430086348326, 0.014093242581683561, 0.027616148421246663, 0.055611201591368724, 0.019212861813203804, 0.013353904240966769, 0.011723340432280946, 0.011052917035501323, 0.010711532397759689, 0.010512994385246487, 0.010386633611651038, 0.010300802785510191, 0.010239569514827129, 0.010194180894701204, 0.010159491394213448, 0.010132308083142661, 0.010110560162401427, 0.010092854266598325, 0.010078223221709108, 0.010065977548703709, 0.010055614249159848, 0.010046758881363345, 0.010039127693332019, 0.010032502226805098, 0.010026711894265036, 0.010021621781114258, 0.010017123948937012, 0.010013131131956829, 0.010009572099230108, 0.010006388195472091, 0.010003530728482951, 0.010000958973121022, 0.009998638630019787, 0.0099965406236635426, 0.0099946401564797536, 0.0099929159580331335, 0.0099913496843049183, 0.0099899254334465531, 0.0099886293526710822, 0.0099874493170107985, 0.0099863746651596176, 0.0099853959809727243, 0.0099845049117242447, 0.0099836940161442331, 0.0099829566367274497, 0.0099822867919411272, 0.0099816790848408412, 0.0099811286252931997, 0.0099806309635472757, 0.0099801820333267708, 0.0099797781029576822, 0.0099794157333207342, 0.0099790917416387806, 0.0099788031702879049, 0.0099785472599658552, 0.0099783214266687386, 0.0099781232420225394, 0.0099779504165931933, 0.0099778007858609789, 0.0099776722985942465, 0.0099775630073959433, 0.0099774710612247977, 0.0099773946997135168, 0.0099773322491190572, 0.0099772821197460712, 0.0099772428046848837, 0.0099772128797004297, 0.0099771910040994255, 0.0099771759223907294, 0.0099771664665392334, 0.0099771615585984158, 0.0099771602134920805, 0.0099771615417035588, 0.0099771647516225109, 0.0099771691512973871, 0.0099771741493472291, 0.0099771792548012245, 0.0099771840756601934, 0.0099771883160108335, 0.0099771917715721394, 0.0099771943236127252, 0.0099771959312465099, 0.0099771966221900293, 0.0099771964821442696, 0.0099771956430428858, 0.0099771942704831237, 0.0099771925507200748, 0.009977190677654707, 0.0099771888402771011, 0.0099771872110352069, 0.0099771859355837506, 0.0099771851243280318, 0.0099771848461135022, 0.0099771849857482452, 0.0099771853992241151, 0.0099771860704382081, 0.0099771869731554424, 0.0099771880718992068, 0.009977189323170663, 0.0099771906769701938, 0.0099771920785881214, 0.0099771934706268297, 0.0099771947952120958, 0.0099771959963486333, 0.0099771970223731226, 0.0099771978284575544, 0.0099771983791166249, 0.0099771986506745399, 0.0099771986336498562, 0.0099771983350205335, 0.0099771977803360147, 0.0099771970156482467, 0.0099771961092389415, 0.0099771951531260478, 0.0099771942643382266, 0.0099771935859515395, 0.0099771932878879033, 0.00997719356748006, 0.0099771946498118918, 0.0099771967878474529, 0.0099772002623648593, 0.0099772053817146298, 0.0099772124814238132, 0.0099772219236691235, 0.0099772340966433094, 0.009977249413839602, 0.0099772683132791657, 0.0099772912567061642, 0.0099773187287745552, 0.0099773512362497097, 0.00997738930724687, 0.0099774334905272932, 0.0099774843548714898, 0.0099775424885476648, 0.0099776084988920238, 0.0099776830120164341, 0.0099777666726576369, 0.0099778601441811408, 0.009977964108752067, 0.0099780792676844778, 0.0099782063419802218, 0.0099783460730680056, 0.009978499223753351, 0.0099786665793904199, 0.0099788489492869913, 0.0099790471683548019, 0.0099792620990183621, 0.0099794946333969063, 0.0099797456957756853, 0.009980016245384955, 0.0099803072795074596, 0.0099806198369380896, 0.0099809550018226129, 0.0099813139079064708, 0.009981697743228754, 0.0099821077553018528, 0.0099825452568227703, 0.0099830116319690691, 0.0099835083433397268, 0.0099840369396102767, 0.0099845990639812442, 0.0099851964635108686, 0.0099858309994361565, 0.0099865046586018053, 0.0099872195661345198, 0.0099879779995208241, 0.0099887824042708059, 0.0099896354113783864, 0.0099905398568219707, 0.009991498803387908, 0.0099925155651454569, 0.0099935937349556817, 0.0099947372154613121, 0.0099959502540806749, 0.0099972374826202016, 0.0099986039622291523, 0.010000055234551291, 0.010001597380086737, 0.010003237084968527, 0.0100049817175916, 0.010006839416815877, 0.010008819193813625, 0.010010931050059802, 0.010013186114494577, 0.010015596803545706, 0.010018177008521471, 0.010020942315917434, 0.010023910267483964, 0.010027100668556605, 0.010030535955264985, 0.01003424163395303, 0.010038246809659012, 0.010042584825085145, 0.010047294037501315, 0.01005241876898603, 0.010058010476026925, 0.010064129198797667, 0.010070845369852267, 0.010078242088636391, 0.010086418005197079, 0.010095491008361778, 0.010105602987361477, 0.010116926041946923, 0.010129670670886078, 0.010144096698241603, 0.010160528042714299, 0.01017937296611433, 0.010201152267746446, 0.01022653922011358, 0.010256417217538916, 0.010291964769156786, 0.010334783806416142, 0.010387098621467668, 0.010452073832443891, 0.010534340628806163, 0.010640903688956363, 0.010782780175574151, 0.01097813415715832, 0.011258696091078633, 0.011684072965864181, 0.012377265869769042, 0.023079449192688024, 0.032596618747294484, 0.012129739525156126, 0.010573374055364218, 0.010191985332334529, 0.010050683823671944, 0.0099861589058646769, 0.0099527832174506076, 0.0099340686545322347, 0.0099229895999863437, 0.0099161868745195163, 0.009911911445038963, 0.0099091908692032285, 0.0099074555787868977, 0.009906357547727113, 0.0099056765184124523, 0.0099052688953040775, 0.0099050386422325498, 0.0099049200829163121, 0.0099048674108147394, 0.0099048481197496503, 0.009904838802430491, 0.0099048224261102016, 0.0099047865640312285, 0.0099047222771035393, 0.0099046234749303776, 0.0099044866798734203, 0.0099043111995461633, 0.0099040998064516585, 0.0099038601608438231, 0.0099036074511765302, 0.0099033691816639464, 0.0099031939658559224, 0.0099031681999873725, 0.0099034491474201888, 0.0099043345657221313, 0.0099064206320322278, 0.0099109964463213254, 0.0099211644497835382, 0.0099456468871960517, 0.010015738597028243, 0.010306452760854654, 0.013954092352620807, 0.014825137553491506, 0.010655241743094773, 0.010227787931059889, 0.010097141750615995, 0.010038553694011488, 0.010006477072048893, 0.0099866121647202537, 0.0099732328578031812, 0.0099636555822730337, 0.0099564754601696396, 0.0099508939722564877, 0.0099464274987084988, 0.009942767999695238, 0.0099397110894347586, 0.0099371165136742726, 0.0099348852820897796, 0.0099329458492619788, 0.0099312454476729491, 0.0099297444744047576, 0.0099284127520281144, 0.0099272269754436867, 0.0099261689297237415, 0.0099252242214113544, 0.0099243813592443282, 0.0099236310773753913, 0.0099229658299069771, 0.00992237940844359, 0.0099218666493160555, 0.0099214232070831427, 0.0099210453776532505, 0.0099207299590015809, 0.0099204741406910876, 0.0099202754156911994, 0.0099201315096257067, 0.0099200403237674137, 0.0099199998889665172, 0.0099200083283437334, 0.0099200638270607183, 0.0099201646078446327, 0.0099203089112210735, 0.0099204949796237001, 0.0099207210447145571, 0.0099209853173794008, 0.0099212859799649913, 0.0099216211804070593, 0.0099219890279633183, 0.0099223875903186719, 0.0099228148918728155, 0.0099232689130553803, 0.009923747590542294, 0.0099242488182704307, 0.0099247704491667935, 0.0099253102975237709, 0.0099258661419647249, 0.0099264357289539328, 0.0099270167768127117, 0.0099276069802093289, 0.0099282040150944304, 0.0099288055440563631, 0.0099294092220722444, 0.0099300127026307455, 0.0099306136442018737, 0.0099312097170275674, 0.0099317986102044637, 0.0099323780390275021, 0.0099329457525596139, 0.0099334995413893588, 0.0099340372455342593, 0.009934556762444105, 0.0099350560550547171, 0.0099355331598389614, 0.0099359861947989625, 0.0099364133673406387, 0.0099368129819696876, 0.0099371834477468782, 0.0099375232854395888, 0.0099378311343073147, 0.0099381057584595721, 0.009938346052727056, 0.0099385510479897896, 0.0099387199159100791, 0.0099388519730229923, 0.0099389466841427292, 0.0099390036650496873, 0.0099390226844304087, 0.0099390100037344536, 0.0099389719998509291, 0.0099389087872798435, 0.0099388205564788831, 0.0099387075733024903, 0.0099385701782219883, 0.0099384087853319047, 0.0099382238811491531, 0.0099380160232130591, 0.0099377858384952309, 0.0099375340216296924, 0.0099372613329743072, 0.0099369685965156433, 0.0099366566976298847, 0.009936326580713032, 0.0099359792466940672, 0.009935615750444696, 0.0099352371980996508, 0.009934844744301171, 0.0099344395893809969, 0.0099340229764928872, 0.009933596188707863, 0.0099331605460838274, 0.0099327174027200437, 0.0099322681438060324, 0.0099318141826733822, 0.0099313569578573391, 0.0099308979301739042, 0.0099304385798164394, 0.0099299804034743786, 0.0099295249114746201, 0.0099290736249447054, 0.0099286280729947943, 0.0099281897899136835, 0.0099277603123721549, 0.0099273411766247627, 0.0099269339156995654, 0.0099265400565628371, 0.0099261611172442032, 0.0099257986039054339, 0.0099254540078343792, 0.0099251288023436864, 0.0099248244395523152, 0.0099245423470262044, 0.0099242839242534506, 0.0099240505389280153, 0.0099238435230155249, 0.0099236641685744083, 0.0099235137233058147, 0.0099233933858067138, 0.0099233043005020338, 0.0099232475522342302, 0.0099232241604920429, 0.0099232350732646971, 0.009923281160513657, 0.0099233632072612526, 0.009923481906304335, 0.0099236378505715012, 0.0099238315251549275, 0.0099240632990618138, 0.00992433341674657, 0.0099246419895028751, 0.0099249889868140029, 0.0099253742277810308, 0.0099257973727703824, 0.0099262579154446567, 0.0099267551753629037, 0.0099272882913576232, 0.009927856215914797, 0.0099284577107988329, 0.0099290913441751356, 0.0099297554894879434, 0.0099304483263481722, 0.0099311678436742323, 0.0099319118453070933, 0.0099326779582875908, 0.0099334636439396308, 0.0099342662118467213, 0.0099350828367421023, 0.0099359105782560395, 0.0099367464033799473, 0.0099375872114177873, 0.0099384298611057183, 0.0099392711994937127, 0.0099401080921030175, 0.009940937453805308, 0.0099417562798164907, 0.0099425616761650189, 0.0099433508889829568, 0.0099441213319802022, 0.0099448706114982164, 0.0099455965485984055, 0.0099462971977198021, 0.0099469708615369454, 0.0099476161017581863, 0.0099482317457210267, 0.0099488168887597542, 0.0099493708924362732, 0.0099498933788320226, 0.009950384221193714, 0.0099508435313047303, 0.0099512716440149033, 0.0099516690994031938, 0.0099520366230703237, 0.0099523751050625397, 0.00995268557791513, 0.0099529691942773762, 0.009953227204542078, 0.0099534609348553415, 0.0099536717658292705, 0.009953861112223893, 0.0099540304038077398, 0.0099541810675515593, 0.0099543145112574623, 0.0099544321086788134, 0.0099545351861445794, 0.0099546250106663497, 0.0099547027794774801, 0.0099547696109311308, 0.0099548265366676547, 0.009954874494951237, 0.0099549143250703496, 0.0099549467626960861, 0.0099549724360957822, 0.0099549918631066971, 0.0099550054487842973, 0.0099550134836521691, 0.0099550161424950753], [0.010585096842315414, 0.010585079954279335, 0.010585029330720893, 0.010584945093144445, 0.010584827443575234, 0.010584676663841431, 0.010584493114579346, 0.010584277233971548, 0.010584029536230831, 0.010583750609845337, 0.010583441115602258, 0.010583101784410149, 0.010582733414941647, 0.010582336871120129, 0.010581913079475517, 0.010581463026395756, 0.010580987755301521, 0.010580488363772655, 0.010579966000655496, 0.01057942186318072, 0.010578857194121723, 0.010578273279023394, 0.010577671443531703, 0.010577053050853713, 0.010576419499377996, 0.010575772220484912, 0.010575112676575845, 0.010574442359350416, 0.010573762788360141, 0.010573075509866841, 0.010572382096033957, 0.010571684144478437, 0.010570983278211092, 0.01057028114599293, 0.01056957942313505, 0.010568879812769346, 0.010568184047617319, 0.010567493892283682, 0.010566811146100863, 0.010566137646549291, 0.010565475273276732, 0.010564825952736903, 0.010564191663464088, 0.010563574441994369, 0.010562976389436691, 0.010562399678686028, 0.010561846562256737, 0.010561319380695404, 0.010560820571507579, 0.010560352678501417, 0.010559918361410472, 0.010559520405607167, 0.010559161731654857, 0.01055884540436834, 0.010558574640957483, 0.010558352817714734, 0.010558183474572463, 0.01055807031670006, 0.01055801721213351, 0.010558028184235055, 0.010558107397572987, 0.010558259135602713, 0.010558487768335924, 0.010558797708029718, 0.010559193350844959, 0.010559679002457028, 0.010560258785806778, 0.010560936529617593, 0.010561715637044765, 0.01056259893492853, 0.010563588505641312, 0.010564685505465249, 0.010565889975767122, 0.010567200655831693, 0.01056861480885234, 0.010570128074931804, 0.010571734366593911, 0.010573425822770875, 0.010575192836050932, 0.010577024164807974, 0.010578907136583802, 0.010580827941986783, 0.010582772010027164, 0.010584724447204446, 0.010586670515002427, 0.010588596114954529, 0.010590488248102039, 0.010592335417000436, 0.010594127943349848, 0.010595858182146034, 0.01059752062281611, 0.010599111877745017, 0.010600630567599682, 0.010602077119895971, 0.010603453501748766, 0.010604762909586337, 0.010606009438086048, 0.010607197748258492, 0.010608332751145717, 0.010609419319664696, 0.010610462037265806, 0.010611464988674626, 0.010612431595261089, 0.010613364495601097, 0.01061426547051378, 0.010615135411144802, 0.010615974328348854, 0.010616781401509824, 0.010617555064832394, 0.010618293128867265, 0.010618992934444566, 0.010619651535177485, 0.010620265903207764, 0.010620833150914439, 0.010621350759005888, 0.010621816798975175, 0.010622230135642513, 0.01062259059385828, 0.010622899072881532, 0.010623157592968556, 0.010623369261698472, 0.010623538152718671, 0.010623669096788739, 0.010623767393720082, 0.010623838463122301, 0.010623887460514684, 0.010623918891923304, 0.010623936263243674, 0.010623941799484346, 0.010623941994756898, 0.01062394255227838, 0.010623943388683424, 0.010623944370038637, 0.010623945319121876, 0.010623946025159961, 0.01062394625560565, 0.01062394576945986, 0.010623944331599652, 0.010623941727556638, 0.010623937778204279, 0.010623932353852722, 0.010623925387312411, 0.010623916885566857, 0.010623906939785068, 0.010623895733499132, 0.010623883548866283, 0.010623870771023534, 0.010623857890621593, 0.010623845504691788, 0.010623834316052847, 0.010623825131503005, 0.010623818859068452, 0.010623816504591556, 0.010623819167943941, 0.010623828039142717, 0.010623844394634199, 0.01062386959399148, 0.010623905077251628, 0.010623952363097459, 0.010624013048068773, 0.010624088806970983, 0.010624181394635446, 0.010624292649176845, 0.010624424496889995, 0.010624578958930792, 0.010624758159935976, 0.010624964338753224, 0.010625199861478252, 0.010625467237029965, 0.010625769135539091, 0.010626108409882111, 0.010626488120761992, 0.010626911565823873, 0.010627382313399499, 0.010627904241604298, 0.010628481583670782, 0.010629118980598776, 0.010629821542446644, 0.010630594919890617, 0.010631445388058245, 0.010632379945118044, 0.010633406428710286, 0.010634533654070652, 0.010635771578682051, 0.010637131499558602, 0.010638626290915332, 0.01064027069213797, 0.010642081658819916, 0.01064407879343221, 0.010646284877295631, 0.010648726532444999, 0.010651435051456498, 0.010654447446436167, 0.010657807786752543, 0.010661568921164098, 0.010665794717440478, 0.010670563007148505, 0.010675969504025875, 0.010682133085870359, 0.01068920301604075, 0.010697368971628743, 0.010706875210116002, 0.010718040966726914, 0.010731290452358643, 0.010747198033501616, 0.010766558133276077, 0.010790496747494169, 0.010820655738128026, 0.010859510154516066, 0.010910941660205455, 0.010981336444339442, 0.011081840824699646, 0.011233421133466398, 0.011479572252111901, 0.011923443627771226, 0.012862104586272889, 0.015458918778504522, 0.027408741118379713, 0.059714043236171521, 0.019493300823023196, 0.013301121064284502, 0.0117836508130437, 0.011218996069672853, 0.010955685705195606, 0.010814659363722726, 0.010731757375248995, 0.010679667194824778, 0.010645265634456391, 0.01062165470728047, 0.010604948333430253, 0.01059283313986858, 0.01058386875185403, 0.010577124317571379, 0.010571979091089097, 0.010568007888266546, 0.010564912671409726, 0.010562480285778037, 0.010560555573877028, 0.010559023825505148, 0.010557799057291588, 0.010556816024530164, 0.010556024676686621, 0.010555386245451492, 0.010554870443554382, 0.010554453432018525, 0.010554116327226247, 0.010553844092596394, 0.010553624707952257, 0.01055344854192449, 0.010553307874632717, 0.010553196532969553, 0.010553109611343557, 0.010553043258197682, 0.010552994513983631, 0.010552961190194408, 0.010552941781983266, 0.010552935409140748, 0.010552941781983261, 0.010552961190194408, 0.010552994513983635, 0.01055304325819768, 0.010553109611343564, 0.010553196532969553, 0.010553307874632718, 0.010553448541924491, 0.01055362470795225, 0.010553844092596394, 0.010554116327226247, 0.010554453432018534, 0.010554870443554385, 0.010555386245451496, 0.010556024676686619, 0.010556816024530163, 0.010557799057291591, 0.010559023825505148, 0.010560555573877027, 0.010562480285778039, 0.010564912671409727, 0.01056800788826655, 0.0105719790910891, 0.010577124317571377, 0.01058386875185403, 0.01059283313986859, 0.010604948333430255, 0.010621654707280473, 0.010645265634456395, 0.010679667194824778, 0.010731757375249005, 0.010814659363722678, 0.010955685705195648, 0.011218996069672761, 0.011783650813043637, 0.01330112106428211, 0.019493300823020646, 0.059714043236177017, 0.027408741118379348, 0.015458918778507344, 0.012862104586274063, 0.011923443627771263, 0.011479572252111934, 0.011233421133466346, 0.011081840824699726, 0.010981336444339485, 0.010910941660205467, 0.01085951015451609, 0.010820655738128017, 0.010790496747494195, 0.010766558133276097, 0.010747198033501633, 0.010731290452358643, 0.010718040966726921, 0.010706875210116, 0.01069736897162874, 0.010689203016040745, 0.010682133085870356, 0.010675969504025877, 0.010670563007148512, 0.010665794717440483, 0.010661568921164093, 0.01065780778675255, 0.010654447446436165, 0.010651435051456501, 0.010648726532444995, 0.010646284877295634, 0.010644078793432212, 0.010642081658819922, 0.010640270692137972, 0.01063862629091533, 0.010637131499558604, 0.010635771578682049, 0.010634533654070652, 0.010633406428710284, 0.010632379945118049, 0.010631445388058242, 0.010630594919890622, 0.010629821542446643, 0.010629118980598779, 0.010628481583670779, 0.010627904241604293, 0.010627382313399499, 0.010626911565823875, 0.010626488120761992, 0.010626108409882111, 0.010625769135539091, 0.010625467237029961, 0.010625199861478252, 0.010624964338753224, 0.010624758159935974, 0.01062457895893079, 0.010624424496889995, 0.010624292649176845, 0.010624181394635442, 0.010624088806970983, 0.010624013048068775, 0.010623952363097459, 0.01062390507725163, 0.01062386959399148, 0.010623844394634199, 0.010623828039142719, 0.010623819167943941, 0.010623816504591552, 0.01062381885906845, 0.010623825131503001, 0.010623834316052846, 0.010623845504691788, 0.010623857890621587, 0.010623870771023539, 0.010623883548866285, 0.010623895733499136, 0.010623906939785072, 0.010623916885566855, 0.010623925387312412, 0.010623932353852722, 0.010623937778204279, 0.01062394172755664, 0.010623944331599649, 0.010623945769459861, 0.01062394625560565, 0.010623946025159963, 0.010623945319121874, 0.010623944370038637, 0.010623943388683423, 0.010623942552278382, 0.010623941994756895, 0.010623941799484348, 0.010623941897742172, 0.010623942185752078, 0.010623942643433878, 0.010623943238017523, 0.010623943925071717, 0.01062394464991097, 0.010623945349349394, 0.010623945953762037, 0.010623946389408577, 0.010623946580969424, 0.010623946454240633, 0.010623945938932698, 0.010623944971517545, 0.010623943498069574, 0.010623941477048751, 0.010623938881977827, 0.010623935703970171, 0.010623931954070548, 0.010623927665377151, 0.010623922894919991, 0.010623917725277201, 0.010623912265918025, 0.010623906654267328, 0.010623901056493015, 0.010623895668023268, 0.010623890713805661, 0.010623886448324812, 0.010623883155398629, 0.010623881147776593, 0.010623880766565589, 0.010623882380510445, 0.010623886385157202, 0.010623893201927722, 0.010623903277133771, 0.010623917080958179, 0.010623935106429913, 0.010623957868418146, 0.010623985902669345, 0.010624019764909422, 0.010624060030031416, 0.010624107291387358, 0.010624162160201248, 0.010624225265118512, 0.010624297251905645, 0.010624378783312613, 0.010624470539109247, 0.010624573216306004, 0.01062468752956883, 0.010624814211837214, 0.010624954015154488, 0.010625107711719421, 0.010625276095168477, 0.010625459982098819, 0.010625660213842897, 0.010625877658506868, 0.010626113213286582, 0.010626367807076622, 0.010626642403390398, 0.010626938003611641, 0.010627255650600909, 0.010627596432684178, 0.010627961488054543, 0.010628352009622824, 0.010628769250357979, 0.010629214529164438, 0.010629689237350073, 0.01063019484574672, 0.010630732912553831, 0.010631305091986423, 0.010631913143820178, 0.010632558943940388, 0.010633244496017116, 0.01063397194444742, 0.010634743588726635, 0.010635561899435632, 0.010636429536059951, 0.010637349366890541, 0.010638324491296019, 0.010639358264703122, 0.010640454326677968, 0.010641616632566494, 0.010642849489231132, 0.010644157595514615, 0.010645546088173986, 0.010647020594163255, 0.01064858729030586, 0.010650252971595971, 0.010652025129607464, 0.010653912042783032, 0.010655922880735212, 0.010658067825134392, 0.010660358210306803, 0.010662806687347245, 0.010665427416402952, 0.010668236292855182, 0.010671251214476781, 0.010674492398361501, 0.010677982758616393, 0.010681748358633133, 0.01068581895541261, 0.010690228658189244, 0.010695016729873412, 0.010700228568138811, 0.010705916914080444, 0.010712143351329043, 0.010718980178862671, 0.010726512768734016, 0.010734842558802813, 0.01074409088519367, 0.010754403936935331, 0.010765959227328451, 0.010778974140549688, 0.010793717355574767, 0.010810524317479824, 0.010829818492351824, 0.010852141030735672, 0.010878192890422614, 0.010908895813130443, 0.010945482506707779, 0.010989633268016471, 0.011043688663838133, 0.011110991020010206, 0.011196452592210056, 0.011307540789183959, 0.011456071699674508, 0.011661670158228277, 0.011958932298806161, 0.012413606746375276, 0.01748123804071508, 0.073855860712087232, 0.014145180848094093, 0.011447893916733367, 0.010908868504606865, 0.010725994802365595, 0.010646460862657843, 0.01060656040487939, 0.010584641148876197, 0.010571847576784667, 0.010564068519994009, 0.010559210503092768, 0.010556129669775373, 0.010554165375307669, 0.010552918571046935, 0.010552139138805787, 0.01055166535365981, 0.01055138982117979, 0.010551239551207453, 0.010551163910731794, 0.010551127135874935, 0.010551103572956542, 0.010551074607928526, 0.010551026679309105, 0.010550950021687426, 0.010550837942316815, 0.010550686540983834, 0.010550494874984469, 0.010550265674700746, 0.010550006867665104, 0.010549734434692029, 0.01054947763328452, 0.010549288678514585, 0.010549261285020456, 0.01054956789348583, 0.010550539120387423, 0.01055284709666374, 0.01055797363446701, 0.01056957950544775, 0.010598355967340971, 0.010685128008159926, 0.011089263011100138, 0.019259347307831614, 0.013459456947808611, 0.011169212417726226, 0.010840845794761149, 0.010730320867176178, 0.01067839480970406, 0.010649165695878329, 0.010630724378922285, 0.010618135635331665, 0.010609031230643979, 0.01060214967628334, 0.010596764365719075, 0.010592430591838321, 0.010588862689508823, 0.010585869794389248, 0.010583320169955735, 0.010581120384033443, 0.010579202629768416, 0.010577516721550037, 0.010576024881390136, 0.01057469824849531, 0.010573514485194502, 0.01057245609908922, 0.010571509244270073, 0.010570662849847524, 0.010569907976456964, 0.010569237334354772, 0.010568644917906031, 0.010568125725156205, 0.010567675540456362, 0.010567290764412055, 0.010566968279771246, 0.01056670534490667, 0.010566499508703222, 0.010566348542208196, 0.010566250383525762, 0.010566203093262273, 0.010566204818441526, 0.010566253763268122, 0.010566348165464831, 0.010566486277175449, 0.010566666349629689, 0.01056688662092599, 0.01056714530641341, 0.010567440591252844, 0.01056777062481672, 0.010568133516650018, 0.010568527333766479, 0.010568950099095876, 0.010569399790932068, 0.010569874343259473, 0.010570371646858355, 0.010570889551108128, 0.010571425866422646, 0.010571978367264099, 0.01057254479569154, 0.010573122865407599, 0.010573710266272691, 0.01057430466925997, 0.010574903731826646, 0.010575505103678768, 0.010576106432906584, 0.010576705372466626, 0.010577299586985165, 0.010577886759855189, 0.010578464600596055, 0.010579030852441584, 0.01057958330011869, 0.010580119777774634, 0.010580638177007133, 0.010581136454947786, 0.010581612642345476, 0.010582064851593404, 0.010582491284640474, 0.010582890240725713, 0.010583260123873006, 0.010583599450082495, 0.010583906854155653, 0.010584181096091856, 0.010584421066996461, 0.010584625794443581, 0.010584794447240571, 0.010584926339546431, 0.010585020934301789, 0.0105850778459349, 0.010585096842315414, 0.010585084176949327, 0.010585046219194491, 0.010584983083967481, 0.010584894962417915, 0.010584782121364062, 0.010584644902508171, 0.010584483721436694, 0.010584299066412214, 0.010584091496965061, 0.010583861642293793, 0.010583610199484998, 0.010583337931563621, 0.010583045665386056, 0.01058273428938868, 0.010582404751205319, 0.010582058055167312, 0.010581695259699962, 0.010581317474629462, 0.010580925858413973, 0.010580521615312345, 0.010580105992503407, 0.010579680277168301, 0.010579245793547328, 0.010578803899981904, 0.010578355985951178, 0.010577903469111721, 0.010577447792347103, 0.01057699042083304, 0.010576532839121943, 0.010576076548249345, 0.010575623062862645, 0.010575173908371026, 0.010574730618113381, 0.010574294730539266, 0.010573867786395847, 0.010573451325911738, 0.010573046885966888, 0.010572655997235272, 0.010572280181285483, 0.010571920947622155, 0.010571579790649394, 0.010571258186535537, 0.010570957589956907, 0.010570679430696782, 0.010570425110074565, 0.010570195997179142, 0.010569993424879791, 0.010569818685587914, 0.010569673026743135, 0.010569557645998345, 0.010569473686079939, 0.010569422229302157, 0.010569404291717975, 0.010569420816893818, 0.010569472669301269, 0.010569560627326674, 0.010569685375908322, 0.010569847498821949, 0.010570047470647732, 0.010570285648466436, 0.010570562263348699, 0.010570877411719599, 0.010571231046700227, 0.010571622969549239, 0.010572052821349209, 0.01057252007510504, 0.010573024028443628, 0.010573563797124728, 0.010574138309591334, 0.010574746302802708, 0.010575386319603091, 0.010576056707882765, 0.010576755621783906, 0.010577481025190422, 0.010578230697717588, 0.010579002243382405, 0.010579793102089651, 0.010580600564010924, 0.010581421786865605, 0.0105822538160351, 0.010583093607357347, 0.010583938052359614, 0.010584784005598685, 0.01058562831369163, 0.010586467845542622, 0.010587299523205328, 0.010588120352770913, 0.010588927454641388, 0.010589718092540156, 0.010590489700626949, 0.010591239908123473, 0.010591966560917633, 0.010592667739695761, 0.010593341774250118, 0.010593987253718842, 0.010594603032631822, 0.010595188232753827, 0.010595742240830236, 0.010596264702445627, 0.010596755512297848, 0.010597214801266425, 0.010597642920712247, 0.010598040424484433, 0.010598408049130268, 0.010598746692805812, 0.01059905739337054, 0.010599341306120669, 0.010599599681576548, 0.010599833843691269, 0.010600045168794521, 0.010600235065529359, 0.010600404955983484, 0.010600556258161843, 0.010600690369896351, 0.010600808654242379, 0.010600912426370871, 0.010601002941930501, 0.010601081386826302, 0.010601148868339461, 0.010601206407497153, 0.010601254932591534, 0.010601295273741995, 0.010601328158394801, 0.010601354207657711, 0.010601373933374826, 0.010601387735856645, 0.010601395902192974, 0.010601398605090573], [0.011285215930482644, 0.011285199350820393, 0.011285149651936038, 0.011285066953992614, 0.011284951456782764, 0.011284803439015209, 0.011284623257326157, 0.011284411345025513, 0.011284168210590787, 0.011283894435924129, 0.011283590674389901, 0.011283257648652938, 0.01128289614833931, 0.011282507027543194, 0.011282091202205066, 0.011281649647387841, 0.011281183394478513, 0.01128069352834374, 0.01128018118446868, 0.01127964754610853, 0.011279093841482813, 0.011278521341042244, 0.011277931354838391, 0.01127732523002575, 0.011276704348526002, 0.011276070124883755, 0.011275424004342645, 0.011274767461170659, 0.011274101997262765, 0.011273429141048962, 0.011272750446735464, 0.01127206749390636, 0.011271381887513119, 0.011270695258279034, 0.011270009263545462, 0.011269325588586546, 0.011268645948418888, 0.011267972090131929, 0.011267305795764121, 0.011266648885748553, 0.011266003222949813, 0.011265370717310742, 0.01126475333112378, 0.011264153084935294, 0.011263572064083502, 0.011263012425859139, 0.011262476407263635, 0.011261966333319896, 0.011261484625865802, 0.011261033812728211, 0.011260616537134279, 0.011260235567165544, 0.011259893804996325, 0.011259594295579883, 0.011259340234350691, 0.011259134973398038, 0.011258982025432759, 0.011258885064715124, 0.011258847923938277, 0.011258874585871671, 0.011258969168368368, 0.011259135901140589, 0.011259379092525614, 0.01125970308432383, 0.011260112192725838, 0.011260610633398954, 0.011261202429028899, 0.011261891298070554, 0.011262680524217871, 0.011263572807216456, 0.011264570097156408, 0.01126567341630498, 0.011266882674820863, 0.011268196489208574, 0.011269612014901202, 0.011271124806579271, 0.011272728721330446, 0.011274415880070117, 0.011276176701341378, 0.011278000018385284, 0.011279873285140993, 0.011281782869852238, 0.01128371442684307, 0.011285653328739221, 0.011287585134117132, 0.011289496060425846, 0.011291373429971685, 0.011293206058248328, 0.011294984558821322, 0.011296701546646349, 0.011298351730993033, 0.011299931898738238, 0.011301440797431714, 0.011302878934256032, 0.011304248311263452, 0.011305552118982288, 0.011306794409934196, 0.011307979771333658, 0.011309113012902711, 0.01131019888195851, 0.011311241814242824, 0.011312245725730672, 0.011313213848087063, 0.011314148608600727, 0.011315051554261771, 0.011315923319040164, 0.011316763633188703, 0.011317571373342102, 0.011318344652112185, 0.011319080945598973, 0.011319777256581929, 0.011320430309996585, 0.011321036775565761, 0.011321593510145122, 0.011322097809565205, 0.011322547656734096, 0.011322941949872012, 0.011323280692476633, 0.011323565125557994, 0.011323797783449843, 0.011323982457628477, 0.011324124058750952, 0.011324228375486935, 0.011324301739099889, 0.011324350614041325, 0.01132438114551744, 0.011324398703291993, 0.011324407465215776, 0.011324410082904586, 0.011324410348079324, 0.011324411108253912, 0.011324412259172483, 0.011324413632968686, 0.011324415006720786, 0.011324416113877538, 0.011324416658046125, 0.011324416328544938, 0.011324414817071101, 0.011324411834817106, 0.011324407129391607, 0.011324400500951895, 0.011324391817034929, 0.011324381025672599, 0.01132436816648727, 0.011324353379579231, 0.011324336912129756, 0.011324319122748401, 0.011324300483684276, 0.011324281581097353, 0.011324263113644203, 0.011324245889673694, 0.011324230823352623, 0.011324218930050705, 0.011324211321310979, 0.011324209199718587, 0.011324213853960071, 0.011324226654340167, 0.011324249048995308, 0.011324282561015668, 0.011324328786661318, 0.011324389394835524, 0.011324466127960035, 0.011324560804383774, 0.011324675322449858, 0.011324811666344973, 0.011324971913861887, 0.011325158246219878, 0.011325372960109766, 0.01132561848216114, 0.011325897386069355, 0.011326212412671347, 0.011326566493322428, 0.011326962777004686, 0.011327404661693113, 0.011327895830622291, 0.01132844029423978, 0.011329042438807424, 0.01132970708282836, 0.011330439542745046, 0.011331245709687254, 0.011332132139466378, 0.011333106158538804, 0.011334175989328305, 0.01133535089914911, 0.011336641378066128, 0.011338059352445591, 0.011339618442796896, 0.011341334276934397, 0.011343224872704474, 0.011345311108821757, 0.011347617308155467, 0.011350171965700349, 0.011353008664327134, 0.011356167236513828, 0.011359695251521787, 0.011363649937786671, 0.011368100694083619, 0.011373132407228998, 0.011378849889723479, 0.011385383895695284, 0.011392899397364613, 0.011401607157168018, 0.01141178019979772, 0.011423777729428545, 0.011438080637229659, 0.011455345550028275, 0.011476489467078644, 0.011502826663028074, 0.011536298584597716, 0.011579877184306413, 0.011638310211531888, 0.01171958720261285, 0.011838053425142322, 0.0120216975757752, 0.01233150575756896, 0.01292253097123636, 0.014291400530325217, 0.018764225710459555, 0.045122220293551125, 0.035978333101973937, 0.016450591997542785, 0.013186816016350465, 0.012203034971715305, 0.011795187680103661, 0.011592318274564327, 0.011478925072876246, 0.011410218836975674, 0.011366063350689246, 0.011336388471511262, 0.011315736303987668, 0.011300956640831823, 0.011290136938331502, 0.01128206684744352, 0.01127595337866787, 0.011271261497799384, 0.01126762100798652, 0.011264770118890046, 0.011262520143685695, 0.011260732790875484, 0.011259305195099434, 0.01125815983243467, 0.011257237593091869, 0.01125649293932823, 0.011255890467412658, 0.011255402431780243, 0.011255006939280648, 0.011254686617089711, 0.011254427620112077, 0.011254218884925563, 0.011254051565054617, 0.01125391860130712, 0.011253814394042489, 0.011253734553475798, 0.011253675710719023, 0.01125363537705199, 0.011253611842468723, 0.011253604107252135, 0.011253611842468722, 0.011253635377051987, 0.011253675710719025, 0.011253734553475798, 0.011253814394042494, 0.011253918601307122, 0.01125405156505462, 0.011254218884925565, 0.011254427620112075, 0.011254686617089714, 0.011255006939280646, 0.011255402431780246, 0.011255890467412658, 0.011256492939328231, 0.011257237593091871, 0.011258159832434667, 0.011259305195099436, 0.011260732790875489, 0.011262520143685693, 0.011264770118890049, 0.011267621007986523, 0.011271261497799393, 0.011275953378667873, 0.011282066847443515, 0.011290136938331509, 0.011300956640831828, 0.01131573630398768, 0.01133638847151126, 0.011366063350689246, 0.011410218836975681, 0.011478925072876256, 0.011592318274564258, 0.011795187680103724, 0.012203034971715153, 0.013186816016350378, 0.016450591997536963, 0.035978333101967123, 0.04512222029354529, 0.018764225710459711, 0.014291400530326638, 0.012922530971237028, 0.012331505757568972, 0.012021697575775229, 0.011838053425142291, 0.011719587202612913, 0.011638310211531926, 0.011579877184306425, 0.011536298584597735, 0.011502826663028072, 0.01147648946707867, 0.011455345550028298, 0.011438080637229677, 0.01142377772942855, 0.011411780199797727, 0.011401607157168014, 0.011392899397364613, 0.011385383895695277, 0.011378849889723479, 0.011373132407228998, 0.011368100694083625, 0.011363649937786675, 0.011359695251521786, 0.01135616723651383, 0.011353008664327133, 0.01135017196570035, 0.011347617308155467, 0.011345311108821764, 0.011343224872704474, 0.011341334276934401, 0.011339618442796896, 0.011338059352445589, 0.011336641378066128, 0.011335350899149109, 0.011334175989328307, 0.011333106158538801, 0.011332132139466379, 0.011331245709687255, 0.011330439542745046, 0.011329707082828357, 0.011329042438807427, 0.011328440294239782, 0.011327895830622287, 0.011327404661693113, 0.011326962777004686, 0.011326566493322429, 0.011326212412671351, 0.011325897386069353, 0.011325618482161142, 0.01132537296010977, 0.011325158246219876, 0.011324971913861889, 0.011324811666344973, 0.01132467532244986, 0.011324560804383776, 0.011324466127960033, 0.011324389394835524, 0.011324328786661316, 0.011324282561015673, 0.011324249048995308, 0.011324226654340167, 0.011324213853960071, 0.011324209199718584, 0.011324211321310975, 0.0113242189300507, 0.011324230823352622, 0.011324245889673694, 0.011324263113644203, 0.011324281581097351, 0.011324300483684276, 0.011324319122748403, 0.011324336912129758, 0.01132435337957923, 0.011324368166487268, 0.011324381025672597, 0.011324391817034931, 0.011324400500951891, 0.011324407129391608, 0.011324411834817106, 0.0113244148170711, 0.011324416328544938, 0.011324416658046127, 0.011324416113877538, 0.011324415006720788, 0.011324413632968683, 0.011324412259172478, 0.011324411108253912, 0.011324410348079319, 0.011324410082904589, 0.011324410216245773, 0.011324410607553067, 0.011324411230925787, 0.011324412044017115, 0.011324412989245185, 0.011324413995448456, 0.011324414979946991, 0.011324415850961967, 0.011324416510338994, 0.011324416856514623, 0.011324416787661971, 0.011324416204949091, 0.011324415015843952, 0.011324413137401339, 0.011324410499470338, 0.011324407047765907, 0.011324402746753908, 0.011324397582306077, 0.011324391564088793, 0.011324384727657816, 0.011324377136239095, 0.011324368882184147, 0.011324360088095948, 0.011324350907628901, 0.011324341525972803, 0.011324332160036758, 0.011324323058353934, 0.011324314500732215, 0.011324306797678955, 0.011324300289630487, 0.011324295346018511, 0.011324292364206102, 0.011324291768326394, 0.011324294008056193, 0.011324299557355713, 0.011324308913204436, 0.011324322594360869, 0.011324341140172348, 0.011324365109458528, 0.011324395079490389, 0.011324431645083934, 0.011324475417825924, 0.011324527025446923, 0.011324587111354905, 0.011324656334341312, 0.011324735368469705, 0.011324824903156255, 0.011324925643450183, 0.011325038310521824, 0.011325163642365353, 0.01132530239472348, 0.011325455342241294, 0.011325623279857214, 0.011325807024439567, 0.011326007416678696, 0.01132622532324558, 0.011326461639229991, 0.011326717290873077, 0.011326993238611823, 0.011327290480455481, 0.011327610055717578, 0.011327953049130471, 0.011328320595373901, 0.011328713884053642, 0.011329134165171839, 0.011329582755136788, 0.011330061043367087, 0.01133057049955297, 0.011331112681647017, 0.011331689244666928, 0.011332301950405183, 0.011332952678154458, 0.011333643436573811, 0.011334376376839326, 0.011335153807244879, 0.011335978209443804, 0.011336852256552071, 0.011337778833368319, 0.011338761059006946, 0.011339802312288648, 0.011340906260289883, 0.011342076890520332, 0.01134331854727812, 0.011344635972828702, 0.011346034354168855, 0.011347519376275858, 0.011349097282909781, 0.011350774946239844, 0.011352559946813041, 0.011354460665685429, 0.011356486390907097, 0.011358647441008738, 0.011360955308703747, 0.011363422828723605, 0.011366064374585099, 0.011368896090194909, 0.011371936163597048, 0.011375205151948549, 0.011378726369086713, 0.011382526349984302, 0.011386635410191978, 0.011391088323333715, 0.011395925146254994, 0.011401192230090063, 0.011406943467106927, 0.01141324183883417, 0.01142016135229258, 0.011427789480501969, 0.011436230264272885, 0.011445608289791151, 0.01145607383847108, 0.011467809623983144, 0.011481039704968513, 0.011496041420458319, 0.01151316158653435, 0.011532838796818472, 0.011555634620379037, 0.011582278021517489, 0.01161372985138096, 0.011651278542472361, 0.011696685617859633, 0.011752413151429249, 0.011821990727304698, 0.011910629339497571, 0.012026292720354981, 0.012181662354125664, 0.012397962758365553, 0.012712967917727507, 0.015527876938963578, 0.06335838138035764, 0.01779035386799949, 0.012508979033576756, 0.011711177366111969, 0.011467759815895248, 0.011367501185235532, 0.01131877660775767, 0.011292524846981572, 0.011277378194066009, 0.011268220690650274, 0.011262505920692676, 0.011258866409558664, 0.011256522907953141, 0.011255009700864885, 0.011254037352862959, 0.011253419992781162, 0.011253034874274198, 0.011252798949512159, 0.011252654821828448, 0.011252562074327612, 0.011252491789978289, 0.01125242303137515, 0.011252340569058539, 0.01125223344532292, 0.011252094142368241, 0.011251918248033087, 0.011251704616711614, 0.011251456139892159, 0.011251181412154233, 0.011250897878523807, 0.011250637631155982, 0.011250458234695891, 0.011250463645406154, 0.011250846664014836, 0.011251980753111466, 0.011254635522053318, 0.011260539286577196, 0.011274075092031891, 0.011308563811417306, 0.011418471691242387, 0.012006387468803732, 0.033300993868257502, 0.013176599299482197, 0.01177143268475987, 0.011513290953780116, 0.011419011953415754, 0.011372857735376919, 0.011346219828633562, 0.011329126482167908, 0.011317313308701631, 0.011308688731937236, 0.011302120523467015, 0.011296948411503896, 0.011292764318733318, 0.011289304032577436, 0.011286389874338967, 0.011283898545807589, 0.011281742203067997, 0.011279856850420008, 0.011278194968479356, 0.011276720686506203, 0.011275406535043404, 0.011274231209185531, 0.011273177995100046, 0.011272233642012902, 0.011271387539684903, 0.011270631109384699, 0.011269957346661323, 0.011269360473769037, 0.011268835672461973, 0.011268378876495511, 0.011267986609042113, 0.011267655854289359, 0.011267383955335704, 0.011267168532522935, 0.011267007417800444, 0.011266898601775805, 0.011266840190886045, 0.011266830372703819, 0.011266867387828058, 0.011266949507139272, 0.011267075013452341, 0.011267242186795296, 0.01126744929269489, 0.011267694572969469, 0.011267976238624956, 0.011268292464525249, 0.011268641385569853, 0.011269021094160628, 0.011269429638780103, 0.011269865023536581, 0.011270325208558135, 0.011270808111139915, 0.011271311607567079, 0.011271833535550325, 0.011272371697223017, 0.011272923862658182, 0.01127348777387085, 0.011274061149276853, 0.011274641688582812, 0.011275227078084548, 0.011275814996352194, 0.011276403120280491, 0.011276989131481494, 0.011277570722995409, 0.011278145606292801, 0.011278711518538122, 0.011279266230081325, 0.011279807552140458, 0.011280333344633931, 0.011280841524117612, 0.011281330071777661, 0.011281797041426393, 0.011282240567445343, 0.011282658872616695, 0.011283050275782138, 0.011283413199266757, 0.011283746176004646, 0.011284047856303412, 0.01128431701418561, 0.011284552553247259, 0.011284753511976782, 0.011284919068481345, 0.011285048544572969, 0.011285141409172077, 0.011285197280992929, 0.011285215930482644, 0.011285203496389395, 0.011285166232027133, 0.011285104251035544, 0.011285017742439186, 0.011284906970087634, 0.011284772271877236, 0.011284614058759556, 0.011284432813543186, 0.011284229089497094, 0.011284003508764464, 0.011283756760597499, 0.011283489599424358, 0.011283202842760312, 0.011282897368975892, 0.011282574114935202, 0.01128223407351824, 0.011281878291040635, 0.011281507864585066, 0.011281123939257672, 0.011280727705382979, 0.011280320395650106, 0.011279903282222493, 0.011279477673822614, 0.011279044912801989, 0.011278606372205974, 0.011278163452841494, 0.011277717580354472, 0.011277270202322304, 0.011276822785365227, 0.011276376812278718, 0.011275933779187262, 0.011275495192718222, 0.01127506256719238, 0.011274637421826121, 0.011274221277938009, 0.011273815656150566, 0.011273422073576322, 0.01127304204097479, 0.01127267705986538, 0.011272328619579251, 0.011271998194231162, 0.011271687239590839, 0.011271397189831549, 0.011271129454132264, 0.011270885413108713, 0.011270666415047488, 0.01127047377191707, 0.011270308755129438, 0.011270172591026398, 0.011270066456065883, 0.011269991471685267, 0.011269948698821463, 0.011269939132071359, 0.011269963693480942, 0.01127002322595755, 0.011270118486307643, 0.011270250137911195, 0.011270418743055085, 0.011270624754960297, 0.011270868509552355, 0.011271150217040593, 0.011271469953390104, 0.011271827651789539, 0.011272223094239062, 0.011272655903404221, 0.011273125534903599, 0.011273631270219466, 0.011274172210440771, 0.011274747271065453, 0.011275355178102901, 0.011275994465726365, 0.011276663475727642, 0.011277360359020988, 0.011278083079428911, 0.011278829419957771, 0.01127959699173567, 0.011280383245737867, 0.011281185487367099, 0.01128200089388751, 0.011282826534633425, 0.01128365939383069, 0.011284496395780389, 0.01128533443206749, 0.01128617039037344, 0.011287001184396269, 0.011287823784319211, 0.011288635247222022, 0.011289432746802542, 0.011290213601770923, 0.011290975302297231, 0.01129171553393458, 0.0112924321985032, 0.011293123431503325, 0.011293787615723099, 0.011294423390816582, 0.011295029658742363, 0.011295605585068678, 0.011296150596262581, 0.011296664373182492, 0.011297146841082623, 0.011297598156510569, 0.011298018691534453, 0.01129840901577177, 0.011298769876709644, 0.011299102178805826, 0.011299406961843773, 0.011299685378985579, 0.011299938674926529, 0.011300168164506848, 0.011300375212083373, 0.011300561211908273, 0.011300727569706688, 0.011300875685591629, 0.011301006938404703, 0.011301122671526139, 0.011301224180158364, 0.011301312700053917, 0.011301389397631638, 0.011301455361404263, 0.011301511594625632, 0.011301559009056526, 0.011301598419743689, 0.011301630540706964, 0.011301655981433165, 0.011301675244083133, 0.01130168872132805, 0.011301696694743771, 0.011301699333705889], [0.012091763496216507, 0.012091747307019375, 0.012091698778964641, 0.012091618030519438, 0.012091505258654234, 0.012091360738135763, 0.012091184820547579, 0.012090977933047977, 0.012090740576878353, 0.012090473325637322, 0.012090176823338154, 0.012089851782269633, 0.012089498980682135, 0.012089119260322708, 0.012088713523844162, 0.012088282732114944, 0.012087827901457227, 0.012087350100841712, 0.012086850449068254, 0.012086330111961838, 0.012085790299613701, 0.012085232263697393, 0.012084657294889797, 0.012084066720426535, 0.012083461901821324, 0.012082844232778339, 0.012082215137326185, 0.012081576068201981, 0.012080928505513337, 0.012080273955705958, 0.012079613950864019, 0.01207895004837037, 0.012078283830953183, 0.012077616907145629, 0.012076950912184681, 0.012076287509375011, 0.012075628391943413, 0.012074975285408568, 0.012074329950490008, 0.012073694186578518, 0.012073069835788248, 0.012072458787607258, 0.012071862984159076, 0.012071284426081276, 0.012070725179018693, 0.012070187380717336, 0.012069673248689858, 0.012069185088403635, 0.012068725301916636, 0.012068296396853792, 0.012067900995574794, 0.012067541844332624, 0.012067221822158018, 0.012066943949126821, 0.012066711393572464, 0.012066527477693633, 0.012066395680875291, 0.012066319639890037, 0.012066303144977135, 0.012066350130611926, 0.012066464659585463, 0.012066650898824308, 0.012066913085210768, 0.012067255479538649, 0.012067682306692458, 0.012068197680211241, 0.012068805509644235, 0.012069509389582973, 0.012070312470025773, 0.012071217308850633, 0.012072225708680049, 0.012073338542317269, 0.012074555573165318, 0.012075875279477809, 0.012077294693711549, 0.012078809270336581, 0.012080412796807461, 0.012082097362569613, 0.012083853399556518, 0.012085669804345427, 0.012087534146931426, 0.012089432964220449, 0.012091352128455161, 0.0120932772728117, 0.012095194249466121, 0.012097089590636758, 0.012098950941328181, 0.012100767434149964, 0.012102529981515996, 0.012104231468058542, 0.012105866835121328, 0.01210743305845541, 0.012108929028533865, 0.012110355349314676, 0.012111714075314096, 0.012113008408433209, 0.012114242375397318, 0.012115420504449814, 0.01211654751671614, 0.01211762804402805, 0.012118666381474966, 0.012119666279883003, 0.012120630781011079, 0.012121562096557575, 0.012122461531040232, 0.012123329448120012, 0.012124165279810218, 0.012124967578045485, 0.01212573410806997, 0.012126461982836248, 0.012127147836896978, 0.012127788036966729, 0.012128378924329882, 0.012128917081554213, 0.012129399612632881, 0.012129824421960865, 0.012130190473865446, 0.012130498011336711, 0.012130748710864015, 0.012130945750659277, 0.012131093772743925, 0.012131198725848159, 0.012131267585827735, 0.012131307962742683, 0.01213132761758064, 0.012131333924951937, 0.012131333328689405, 0.012131330842968979, 0.012131329650705677, 0.012131330050464094, 0.012131331205724249, 0.012131332986572187, 0.012131335183486877, 0.012131337517492933, 0.012131339653697129, 0.012131341217585785, 0.012131341813353571, 0.012131341043473716, 0.012131338528704712, 0.012131333927759166, 0.012131326955929762, 0.012131317402068744, 0.012131305143441554, 0.012131290158112143, 0.01213127253465868, 0.012131252479153606, 0.012131230319466543, 0.012131206507054767, 0.012131181616492764, 0.012131156343056631, 0.012131131498721861, 0.012131108006955688, 0.012131086896689713, 0.012131069295848498, 0.012131056424788456, 0.012131049589971793, 0.012131050178166201, 0.012131059651424619, 0.012131079543064187, 0.012131111454830083, 0.012131157055401451, 0.012131218080372951, 0.012131296333828045, 0.012131393691609675, 0.012131512106390269, 0.012131653614646964, 0.01213182034565948, 0.012132014532667322, 0.012132238526351126, 0.012132494810839556, 0.012132786022490237, 0.012133114971751216, 0.012133484668480892, 0.012133898351191047, 0.012134359520783289, 0.012134871979477766, 0.012135439875789938, 0.012136067756603898, 0.01213676062762801, 0.012137524023813242, 0.012138364091681487, 0.012139287685972316, 0.012140302483598488, 0.012141417118640524, 0.012142641343057998, 0.012143986219015643, 0.012145464350307411, 0.012147090162434584, 0.012148880243627189, 0.012150853762732221, 0.012153032984766221, 0.01215544391152905, 0.012158117083699436, 0.012161088593302572, 0.012164401372868722, 0.012168106852256055, 0.012172267109445601, 0.012176957692969323, 0.012182271369406986, 0.012188323163045677, 0.012195257228349353, 0.012203256366117262, 0.012212555424068261, 0.012223460522671257, 0.012236377217370914, 0.012251852722509142, 0.012270640903460398, 0.012293805349749509, 0.012322888550143404, 0.012360200844410961, 0.012409337599297174, 0.012476157992278266, 0.0125707672562299, 0.012711883330340592, 0.012937546408431961, 0.013335401440605996, 0.014147117621613057, 0.016252925193959628, 0.02478411681381092, 0.06471564249848083, 0.024102968454341341, 0.01540966880712317, 0.013491363784070306, 0.012815964056190919, 0.012510832512452453, 0.012350648345798982, 0.012257747975584571, 0.012199926141503545, 0.012161997800919399, 0.012136093369502918, 0.012117827771555303, 0.012104613210960475, 0.012094849745319755, 0.012087509344755464, 0.01208190972423092, 0.012077585406490093, 0.012074211199949511, 0.012071555185390041, 0.012069448950050165, 0.012067768237692563, 0.012066420072841937, 0.012065334013322999, 0.012064456096098944, 0.012063744576740709, 0.012063166885857911, 0.012062697425391372, 0.01206231595365973, 0.01206200638917726, 0.0120617559164497, 0.012061554312420482, 0.012061393436264257, 0.012061266841747402, 0.012061169482910559, 0.012061097492008453, 0.012061048014544665, 0.012061019090587976, 0.012061009574849671, 0.012061019090587976, 0.012061048014544662, 0.012061097492008455, 0.012061169482910564, 0.012061266841747404, 0.012061393436264261, 0.012061554312420486, 0.0120617559164497, 0.012062006389177258, 0.01206231595365973, 0.012062697425391372, 0.012063166885857915, 0.012063744576740705, 0.012064456096098946, 0.012065334013322999, 0.012066420072841937, 0.012067768237692568, 0.012069448950050165, 0.012071555185390043, 0.012074211199949513, 0.012077585406490093, 0.012081909724230922, 0.012087509344755467, 0.01209484974531975, 0.012104613210960478, 0.012117827771555312, 0.012136093369502934, 0.012161997800919398, 0.012199926141503547, 0.012257747975584578, 0.012350648345798998, 0.012510832512452361, 0.012815964056191025, 0.01349136378407007, 0.015409668807123121, 0.024102968454322589, 0.064715642498481954, 0.024784116813809584, 0.016252925193959579, 0.014147117621613839, 0.013335401440606447, 0.012937546408431979, 0.012711883330340611, 0.012570767256229869, 0.012476157992278311, 0.012409337599297203, 0.01236020084441097, 0.012322888550143419, 0.012293805349749509, 0.012270640903460419, 0.012251852722509156, 0.01223637721737093, 0.012223460522671261, 0.012212555424068268, 0.012203256366117261, 0.012195257228349351, 0.012188323163045672, 0.012182271369406982, 0.012176957692969323, 0.012172267109445606, 0.012168106852256059, 0.01216440137286872, 0.012161088593302578, 0.012158117083699436, 0.012155443911529054, 0.012153032984766221, 0.012150853762732224, 0.012148880243627189, 0.012147090162434586, 0.01214546435030741, 0.012143986219015641, 0.012142641343058, 0.012141417118640523, 0.01214030248359849, 0.012139287685972317, 0.012138364091681489, 0.012137524023813247, 0.012136760627628012, 0.012136067756603896, 0.012135439875789938, 0.012134871979477766, 0.012134359520783287, 0.012133898351191046, 0.012133484668480892, 0.012133114971751218, 0.012132786022490235, 0.012132494810839556, 0.012132238526351122, 0.012132014532667325, 0.012131820345659476, 0.012131653614646968, 0.012131512106390269, 0.012131393691609673, 0.012131296333828045, 0.012131218080372947, 0.012131157055401453, 0.012131111454830083, 0.012131079543064187, 0.012131059651424619, 0.0121310501781662, 0.012131049589971797, 0.012131056424788457, 0.0121310692958485, 0.012131086896689708, 0.012131108006955681, 0.012131131498721859, 0.012131156343056627, 0.012131181616492764, 0.012131206507054768, 0.012131230319466547, 0.012131252479153606, 0.012131272534658684, 0.012131290158112144, 0.012131305143441549, 0.012131317402068744, 0.012131326955929757, 0.012131333927759164, 0.012131338528704712, 0.012131341043473718, 0.012131341813353574, 0.012131341217585785, 0.012131339653697131, 0.012131337517492933, 0.012131335183486875, 0.01213133298657218, 0.012131331205724245, 0.012131330050464094, 0.012131329650705677, 0.01213132985150076, 0.012131330442765225, 0.012131331391431879, 0.01213133264336522, 0.012131334124801118, 0.012131335744313146, 0.012131337395258271, 0.012131338958644001, 0.012131340306349967, 0.012131341304630571, 0.012131341817820506, 0.012131341712163084, 0.012131340859681473, 0.01213133914201537, 0.012131336454149945, 0.012131332707970179, 0.01213132783558131, 0.012131321792344654, 0.012131314559587866, 0.01213130614695824, 0.012131296594397937, 0.012131285973729694, 0.012131274389850861, 0.012131261981542279, 0.012131248921906241, 0.012131235418454425, 0.012131221712872496, 0.012131208080492456, 0.012131194829507324, 0.012131182299965062, 0.012131170862579985, 0.01213116091740033, 0.012131152892370314, 0.012131147241823886, 0.0121311444449457, 0.012131145004232955, 0.012131149443988999, 0.012131158308877274, 0.012131172162561125, 0.01213119158645249, 0.012131217178589504, 0.012131249552660513, 0.012131289337189648, 0.012131337174896596, 0.012131393722241566, 0.012131459649164388, 0.012131535639025508, 0.012131622388755424, 0.012131720609218282, 0.012131831025794858, 0.012131954379189982, 0.012132091426469555, 0.012132242942332741, 0.012132409720625516, 0.01213259257610301, 0.012132792346449131, 0.01213300989456376, 0.012133246111129651, 0.012133501917473534, 0.012133778268738396, 0.012134076157387104, 0.012134396617060726, 0.012134740726819096, 0.012135109615795085, 0.012135504468299547, 0.012135926529419068, 0.012136377111155332, 0.012136857599161981, 0.012137369460143307, 0.012137914249988217, 0.012138493622724206, 0.012139109340388018, 0.012139763283924306, 0.01214045746524002, 0.012141194040561357, 0.012141975325262589, 0.012142803810361711, 0.012143682180908614, 0.012144613336526746, 0.012145600414411274, 0.012146646815136185, 0.01214775623168114, 0.012148932682158484, 0.012150180546803382, 0.01215150460988919, 0.012152910107348414, 0.012154402781022847, 0.012155988940638603, 0.012157675534811233, 0.012159470232640805, 0.01216138151776839, 0.012163418797147827, 0.01216559252725876, 0.0121679143610714, 0.012170397319801955, 0.012173055994408929, 0.012175906782927799, 0.012178968171192732, 0.012182261066341972, 0.012185809194869567, 0.012189639580036733, 0.012193783117415353, 0.012198275272512439, 0.012203156931242562, 0.012208475443070705, 0.012214285908775331, 0.012220652781173038, 0.012227651869514741, 0.012235372869103306, 0.012243922580673024, 0.012253429044705168, 0.012264046902459151, 0.012275964420886855, 0.01228941280281272, 0.012304678678722506, 0.012322121094027265, 0.012342194951662777, 0.012365483890065481, 0.012392747224369253, 0.012424988307219687, 0.012463556310144988, 0.0125103015797527, 0.012567819540232696, 0.012639846118298603, 0.012731923020684446, 0.012852566409995917, 0.013015427246739023, 0.013243536354787398, 0.014984252476583027, 0.031808477891654433, 0.026249420337048121, 0.013907265055863791, 0.01266208594392869, 0.012329532099050624, 0.012201027802686858, 0.012140775791947552, 0.012108998392033939, 0.012090888599159903, 0.012080004113246508, 0.012073215514575266, 0.012068872558951213, 0.012066047874302455, 0.012064193192336554, 0.012062970655961208, 0.012062164746916734, 0.012061633890626141, 0.012061282698990832, 0.012061045463527204, 0.012060876035669759, 0.012060741467446104, 0.012060617943986787, 0.012060488165933752, 0.012060339694936065, 0.012060163989884529, 0.012059956006289974, 0.012059714350898662, 0.012059442116167916, 0.012059148713128357, 0.012058853361941232, 0.012058591565353745, 0.012058427289059689, 0.012058476709089907, 0.012058956930778551, 0.012060292802242304, 0.012063372009732849, 0.01207022665147439, 0.012086155343668217, 0.012127973580742031, 0.012269941641673074, 0.013172620191761585, 0.042162971276068183, 0.01343629781112237, 0.012504253900918368, 0.012297029414592982, 0.012215821953377193, 0.012174565040238576, 0.012150198192085059, 0.012134312376232989, 0.012123204877745791, 0.012115021892569454, 0.012108744471307694, 0.012103771366488145, 0.012099727496147879, 0.012096368168937825, 0.012093527808001164, 0.012091090916899019, 0.012088974851342759, 0.012087119181407757, 0.012085478894354979, 0.012084019920124851, 0.012082716107700521, 0.012081547133970838, 0.012080497027302682, 0.012079553105630816, 0.01207870519984783, 0.012077945077239183, 0.012077266007584773, 0.01207666243260295, 0.012076129711335313, 0.012075663922082933, 0.012075261706978261, 0.012074920149072205, 0.012074636674484326, 0.012074408974064997, 0.012074234940388758, 0.012074112616897626, 0.012074040156750043, 0.012074015789480292, 0.012074037793986286, 0.012074104476677658, 0.012074214153856863, 0.01207436513759258, 0.012074555724490069, 0.012074784186877997, 0.012075048766022414, 0.012075347667051204, 0.012075679055331443, 0.012076041054089487, 0.012076431743102634, 0.012076849158322996, 0.012077291292320262, 0.012077756095451442, 0.012078241477683287, 0.012078745311007189, 0.012079265432397937, 0.012079799647276976, 0.012080345733447347, 0.012080901445473463, 0.012081464519481874, 0.012082032678361805, 0.012082603637345172, 0.012083175109945759, 0.01208374481423603, 0.01208431047943853, 0.012084869852806006, 0.012085420706761427, 0.012085960846265502, 0.012086488116375568, 0.012087000409955405, 0.012087495675491963, 0.012087971924970594, 0.012088427241756912, 0.012088859788430018, 0.012089267814508834, 0.012089649664011258, 0.012090003782784089, 0.012090328725540942, 0.012090623162545631, 0.012090885885879433, 0.01209111581523261, 0.012091312003163797, 0.012091473639774392, 0.012091600056750492, 0.012091690730730156, 0.012091745285960505, 0.012091763496216507, 0.01209175135496143, 0.012091714968561451, 0.012091654449000781, 0.01209156998254891, 0.012091461829206892, 0.012091330321937602, 0.012091175865685042, 0.012090998936189373, 0.012090800078605765, 0.012090579905935867, 0.012090339097282474, 0.012090078395938255, 0.01208979860732075, 0.012089500596766103, 0.012089185287194716, 0.012088853656662476, 0.012088506735810887, 0.012088145605230081, 0.012087771392748067, 0.012087385270659383, 0.012086988452905872, 0.012086582192221532, 0.012086167777252816, 0.012085746529664489, 0.012085319801240193, 0.012084888970985912, 0.012084455442242641, 0.01208402063981368, 0.012083586007109928, 0.012083153003315361, 0.012082723100572729, 0.012082297781188045, 0.012081878534850344, 0.012081466855861445, 0.012081064240368495, 0.012080672183589852, 0.012080292177023432, 0.012079925705624082, 0.01207957424493503, 0.012079239258156441, 0.012078922193132276, 0.012078624479235056, 0.012078347524126481, 0.012078092710370615, 0.012077861391875151, 0.012077654890135498, 0.012077474490256002, 0.012077321436722578, 0.012077196928901669, 0.01207710211624149, 0.012077038093153624, 0.012077005893555794, 0.012077006485060394, 0.012077040762798499, 0.012077109542875162, 0.012077213555459708, 0.012077353437523806, 0.012077529725251139, 0.01207774284615515, 0.012077993110955778, 0.012078280705282274, 0.012078605681287317, 0.012078967949276672, 0.012079367269479543, 0.01207980324410584, 0.012080275309858108, 0.012080782731086797, 0.012081324593796721, 0.012081899800729589, 0.012082507067760302, 0.012083144921852742, 0.012083811700822159, 0.012084505555144964, 0.012085224452041137, 0.012085966182029157, 0.012086728368116462, 0.012087508477741385, 0.012088303837523578, 0.012089111650811732, 0.012089929017940287, 0.01209075295902411, 0.012091580439033729, 0.012092408394808277, 0.012093233763582156, 0.012094053512528537, 0.01209486466876359, 0.012095664349211218, 0.012096449789705085, 0.012097218372702138, 0.01209796765300309, 0.012098695380918668, 0.01209939952238538, 0.012100078275617657, 0.01210073008398155, 0.012101353644883303, 0.012101947914579851, 0.012102512108931544, 0.012103045700226318, 0.01210354841030311, 0.012104020200288147, 0.012104461257327417, 0.012104871978750143, 0.012105252954131299, 0.012105604945735985, 0.012105928867826209, 0.01210622576529298, 0.01210649679204614, 0.012106743189553886, 0.01210696626587557, 0.01210716737547919, 0.012107347900079762, 0.012107509230680767, 0.012107652750948439, 0.012107779821999861, 0.012107891768642581, 0.012107989867064866, 0.012108075333943924, 0.012108149316913445, 0.012108212886311958, 0.012108267028119452, 0.012108312637981214, 0.012108350516213669, 0.012108381363688102, 0.012108405778491781, 0.012108424253273976, 0.01210843717319419, 0.012108444814402312, 0.012108447342994301], [0.013078339406271677, 0.013078323139000744, 0.013078274377197623, 0.013078193240745686, 0.013078079928966384, 0.013077934719898215, 0.013077757969298026, 0.013077550109374786, 0.013077311647269111, 0.013077043163294496, 0.013076745308958238, 0.013076418804782771, 0.013076064437949855, 0.013075683059791994, 0.013075275583156914, 0.013074842979672532, 0.013074386276940563, 0.013073906555688073, 0.013073404946906802, 0.013072882629010431, 0.013072340825040499, 0.013071780799951154, 0.013071203858003672, 0.013070611340300664, 0.013070004622490078, 0.013069385112668639, 0.013068754249513793, 0.013068113500673084, 0.013067464361439114, 0.013066808353738118, 0.013066147025459584, 0.013065481950154188, 0.013064814727126695, 0.013064146981950483, 0.013063480367429846, 0.013062816565035589, 0.01306215728683938, 0.01306150427797103, 0.013060859319621887, 0.013060224232615953, 0.013059600881567525, 0.013058991179640954, 0.01305839709392294, 0.013057820651411256, 0.013057263945614357, 0.013056729143744443, 0.013056218494470351, 0.013055734336175767, 0.013055279105641618, 0.013054855347037287, 0.013054465721062515, 0.013054113014028411, 0.013053800146600235, 0.013053530181844736, 0.013053306332128431, 0.013053131964299438, 0.013053010602452576, 0.013052945927425877, 0.013052941772007352, 0.01305300211064854, 0.01305313104229221, 0.013053332764738563, 0.013053611538814193, 0.013053971640496832, 0.013054417299119637, 0.013054952619874846, 0.013055581489109442, 0.013056307461413117, 0.013057133628301291, 0.013058062469445188, 0.01305909568893027, 0.013060234040929574, 0.013061477151399667, 0.013062823344807312, 0.013064269487248252, 0.01306581085930408, 0.013067441073202847, 0.013069152048873333, 0.013070934061920567, 0.013072775873144187, 0.013074664943946939, 0.013076587735128976, 0.013078530078770322, 0.013080477605102926, 0.013082416199569163, 0.013084332460729179, 0.013086214128135034, 0.013088050451109529, 0.01308983247437933, 0.013091553224016419, 0.013093207786056479, 0.013094793279243582, 0.013096308731438964, 0.013097754875452334, 0.01309913388393469, 0.013100449064456532, 0.013101704535276537, 0.013102904900105582, 0.01310405493700437, 0.013105159313014205, 0.013106222332699957, 0.013107247725828617, 0.013108238477110538, 0.013109196699352257, 0.013110123550461013, 0.013111019194375594, 0.013111882805997692, 0.013112712620356556, 0.013113506026333044, 0.013114259705073456, 0.013114969812521039, 0.013115632204095326, 0.013116242697315872, 0.013116797365043001, 0.013117292848063181, 0.013117726671221665, 0.013118097542648914, 0.013118405611513952, 0.013118652657038151, 0.013118842181202985, 0.013118979380624909, 0.013119070980124468, 0.013119124921736646, 0.013119149917690264, 0.013119154892739798, 0.013119148357854552, 0.013119137770825974, 0.01311912894701533, 0.013119125583061797, 0.01311912588781707, 0.013119126750286059, 0.013119128017587639, 0.013119129443159358, 0.013119130698686223, 0.013119131389971627, 0.013119131075989455, 0.013119129290230944, 0.013119125563390165, 0.013119119446421459, 0.013119110533045913, 0.013119098480876463, 0.013119083030460941, 0.013119064021698832, 0.013119041407257035, 0.01311901526278169, 0.013118985793866009, 0.013118953339880036, 0.013118918374891184, 0.013118881506001082, 0.013118843469493144, 0.013118805125227622, 0.013118767449738595, 0.013118731528484483, 0.013118698547683541, 0.013118669786133472, 0.013118646607373566, 0.013118630452502385, 0.013118622833917891, 0.013118625330202298, 0.01311863958233297, 0.013118667291365762, 0.013118710217708348, 0.013118770182079726, 0.013118849068238686, 0.013118948827557923, 0.013119071485522835, 0.01311921915024403, 0.013119394023090541, 0.013119598411577026, 0.013119834744673136, 0.013120105590747298, 0.013120413678411453, 0.013120761920600011, 0.013121153442296016, 0.013121591612414621, 0.013122080080471174, 0.013122622818803244, 0.013123224171289744, 0.013123888909722941, 0.013124622299252051, 0.013125430174643299, 0.013126319029509037, 0.013127296121171476, 0.013128369594475815, 0.013129548628695155, 0.013130843612731879, 0.013132266355192768, 0.013133830337702976, 0.013135551022169218, 0.013137446225805427, 0.013139536581873354, 0.013141846109663152, 0.013144402924812618, 0.013147240131462828, 0.01315039695218212, 0.013153920171859138, 0.013157866000584852, 0.013162302502071403, 0.01316731279486889, 0.013172999323800057, 0.013179489635211079, 0.013186944299161157, 0.013195567950638106, 0.013205624949985289, 0.013217462031560297, 0.013231541778535565, 0.013248493321811146, 0.013269191278034428, 0.013294882597384422, 0.0133273979535874, 0.013369519291677671, 0.013425651746047422, 0.013503128181662169, 0.013614935632867864, 0.013785965085992339, 0.01406915769088986, 0.014594523342953011, 0.015756571783104485, 0.019237447292584656, 0.037361699636990563, 0.047761853148488714, 0.019724750407711565, 0.015350004031780898, 0.014135592423930995, 0.013654206562193105, 0.013421232145897948, 0.013293379491995319, 0.013216919136842101, 0.013168257674069997, 0.013135799881717817, 0.01311334510549979, 0.01309735238798285, 0.013085690517287802, 0.01307702042437283, 0.013070470084851715, 0.013065454175732287, 0.013061569511915562, 0.013058532087052304, 0.013056137907450676, 0.013054237923393171, 0.013052721576351636, 0.013051505758303052, 0.013050527254664568, 0.013049737479154047, 0.013049098746636432, 0.01304858159674137, 0.013048162847304298, 0.013047824162504702, 0.013047550989221677, 0.013047331760450375, 0.013047157295044928, 0.013047020343798264, 0.013046915246235486, 0.013046837672607232, 0.013046784432810689, 0.013046753339263011, 0.013046743114735079, 0.01304675333926301, 0.013046784432810691, 0.013046837672607231, 0.013046915246235486, 0.013047020343798271, 0.013047157295044928, 0.013047331760450379, 0.013047550989221682, 0.0130478241625047, 0.013048162847304298, 0.013048581596741366, 0.013049098746636437, 0.013049737479154049, 0.013050527254664566, 0.013051505758303045, 0.013052721576351636, 0.013054237923393172, 0.013056137907450678, 0.013058532087052304, 0.013061569511915566, 0.013065454175732292, 0.01307047008485172, 0.013077020424372834, 0.013085690517287793, 0.013097352387982856, 0.013113345105499802, 0.013135799881717833, 0.01316825767407, 0.013216919136842104, 0.013293379491995326, 0.013421232145897959, 0.013654206562192964, 0.014135592423931158, 0.015350004031780412, 0.019724750407711541, 0.047761853148434626, 0.037361699636996183, 0.019237447292584243, 0.015756571783104439, 0.014594523342953471, 0.014069157690890174, 0.013785965085992349, 0.013614935632867881, 0.013503128181662145, 0.013425651746047464, 0.013369519291677699, 0.01332739795358741, 0.013294882597384436, 0.013269191278034427, 0.013248493321811165, 0.013231541778535577, 0.013217462031560314, 0.013205624949985291, 0.013195567950638112, 0.013186944299161157, 0.013179489635211077, 0.013172999323800056, 0.013167312794868886, 0.013162302502071408, 0.013157866000584852, 0.013153920171859144, 0.01315039695218212, 0.013147240131462831, 0.013144402924812618, 0.013141846109663156, 0.013139536581873348, 0.013137446225805429, 0.01313555102216922, 0.013133830337702978, 0.013132266355192764, 0.013130843612731879, 0.01312954862869516, 0.013128369594475811, 0.013127296121171476, 0.013126319029509033, 0.013125430174643302, 0.013124622299252053, 0.013123888909722943, 0.013123224171289744, 0.013122622818803246, 0.013122080080471174, 0.013121591612414617, 0.013121153442296012, 0.013120761920600009, 0.013120413678411453, 0.013120105590747295, 0.013119834744673141, 0.01311959841157702, 0.013119394023090543, 0.01311921915024403, 0.013119071485522832, 0.01311894882755792, 0.013118849068238686, 0.013118770182079728, 0.013118710217708345, 0.013118667291365764, 0.013118639582332964, 0.013118625330202296, 0.013118622833917893, 0.01311863045250238, 0.013118646607373569, 0.01311866978613347, 0.013118698547683537, 0.013118731528484482, 0.013118767449738595, 0.013118805125227621, 0.013118843469493144, 0.013118881506001077, 0.013118918374891181, 0.013118953339880033, 0.013118985793866006, 0.013119015262781687, 0.013119041407257028, 0.013119064021698828, 0.013119083030460941, 0.013119098480876459, 0.013119110533045918, 0.013119119446421459, 0.013119125563390167, 0.013119129290230942, 0.013119131075989453, 0.013119131389971622, 0.013119130698686223, 0.013119129443159355, 0.013119128017587639, 0.013119126750286059, 0.013119125887817074, 0.013119125583061799, 0.013119125736504983, 0.013119126183600465, 0.013119126884993313, 0.013119127776240653, 0.013119128769503963, 0.013119129755858088, 0.013119130608159193, 0.013119131184400957, 0.013119131331477667, 0.0131191308892651, 0.013119129694924734, 0.013119127587335095, 0.013119124411554439, 0.013119120023222811, 0.013119114292817008, 0.013119107109680232, 0.01311909838575793, 0.013119088058982018, 0.01311907609625774, 0.013119062496019468, 0.013119047290333844, 0.013119030546540626, 0.01311901236843236, 0.013118992896984408, 0.013118972310655532, 0.013118950825286904, 0.013118928693633864, 0.013118906204569132, 0.013118883682000176, 0.013118861483545177, 0.013118839999013261, 0.013118819648734414, 0.013118800881783648, 0.013118784174141963, 0.013118770026834385, 0.013118758964082475, 0.013118751531505379, 0.013118748294400179, 0.013118749836128724, 0.013118756756634795, 0.013118769671111924, 0.013118789208839148, 0.013118816012199074, 0.013118850735889816, 0.013118894046340281, 0.013118946621336084, 0.013119009149861886, 0.013119082332164583, 0.013119166880040818, 0.013119263517351829, 0.013119372980768186, 0.013119496020747273, 0.013119633402746578, 0.013119785908676599, 0.013119954338598281, 0.013120139512671013, 0.013120342273358872, 0.013120563487904866, 0.01312080405108468, 0.013121064888254432, 0.013121346958709521, 0.013121651259374832, 0.013121978828850491, 0.013122330751840997, 0.013122708164000654, 0.013123112257232937, 0.013123544285487719, 0.013124005571106391, 0.013124497511772974, 0.013125021588137328, 0.01312557937218669, 0.013126172536452704, 0.013126802864154005, 0.013127472260389123, 0.01312818276451154, 0.013128936563838546, 0.013129736008868367, 0.013130583630206949, 0.013131482157437134, 0.013132434540199567, 0.013133443971798159, 0.013134513915693742, 0.013135648135310327, 0.013136850727649906, 0.01313812616129771, 0.013139479319501862, 0.013140915549134699, 0.013142440716490665, 0.013144061271054936, 0.013145784318593933, 0.013147617705183551, 0.013149570114114597, 0.01315165117801286, 0.013153871609002058, 0.013156243350346942, 0.013158779753772651, 0.013161495787606883, 0.013164408282088659, 0.013167536219703596, 0.013170901080337123, 0.013174527253513346, 0.013178442533182464, 0.013182678714671098, 0.013187272318842928, 0.013192265475682653, 0.0131977070090432, 0.01320365377707269, 0.013210172340129743, 0.013217341051627488, 0.013225252699879434, 0.013234017874585405, 0.013243769295975649, 0.013254667436763748, 0.013266907900724946, 0.013280731218532633, 0.013296436015966119, 0.013314396957945864, 0.013335089567528456, 0.013359125121098719, 0.013387300607317302, 0.013420671706672797, 0.013460661824462523, 0.013509229163430329, 0.01356913018146237, 0.013644348888683391, 0.013740823361522108, 0.013867730793003763, 0.01403988242906919, 0.015206667966036713, 0.022478603828527396, 0.051337384205521197, 0.01590596279845766, 0.01384324897019841, 0.013380435263662701, 0.013215231341692384, 0.013141186665262169, 0.013103241439839014, 0.013082035216259447, 0.013069463595078679, 0.013061698474923087, 0.01305676367315599, 0.013053567084759831, 0.013051471720766832, 0.013050089406886732, 0.01304917483529823, 0.013048568140018988, 0.013048162340151642, 0.013047884168828296, 0.013047682418492766, 0.013047520668247808, 0.013047372657914032, 0.013047219321678842, 0.013047046913610534, 0.01304684590756016, 0.013046610520426716, 0.013046338843125681, 0.013046033711672438, 0.013045704666942914, 0.013045371733590711, 0.013045072501641931, 0.013044875593747878, 0.013044907233602042, 0.013045406503122456, 0.013046848490941253, 0.013050244435041847, 0.01305796504004818, 0.013076398264343401, 0.013126857724541596, 0.013312340725158323, 0.014791803686402592, 0.026846092810083873, 0.014093121661975308, 0.013436236669716405, 0.013265954598953512, 0.013194879813048307, 0.013157484490550708, 0.013134894478971815, 0.013119930465552408, 0.013109341238537299, 0.013101465943801894, 0.013095377720469065, 0.013090523132438268, 0.013086553625319497, 0.013083240039985091, 0.013080426308466002, 0.013078002978922056, 0.01307589137553972, 0.013074033748020637, 0.013072386938258108, 0.0130709181883213, 0.01306960229391056, 0.013068419627112875, 0.013067354734907301, 0.013066395327572958, 0.013065531536498873, 0.013064755361565828, 0.013064060254170898, 0.013063440798807315, 0.013062892467273674, 0.013062411427112855, 0.013061994391038166, 0.01306163849769048, 0.013061341216598254, 0.013061100272017878, 0.013060913581636465, 0.013060779207073043, 0.01306069531381889, 0.013060660138783976, 0.013060671964013258, 0.013060729095438902, 0.013060829845766531, 0.013060972520774181, 0.013061155408443256, 0.013061376770452354, 0.01306163483565358, 0.013061927795221636, 0.013062253799223839, 0.013062610954405635, 0.01306299732302426, 0.013063410922594691, 0.013063849726437392, 0.013064311664938677, 0.013064794627451699, 0.01306529646478009, 0.013065814992197639, 0.013066347992966408, 0.013066893222322505, 0.013067448411903916, 0.013068011274598319, 0.01306857950979093, 0.013069150808993363, 0.013069722861834223, 0.013070293362390907, 0.013070860015840393, 0.013071420545403683, 0.013071972699555583, 0.013072514259467689, 0.013073043046648469, 0.013073556930739983, 0.013074053837426765, 0.013074531756408155, 0.013074988749381346, 0.013075422957979114, 0.013075832611603057, 0.013076216035090682, 0.013076571656153304, 0.013076898012520412, 0.013077193758726709, 0.013077457672478695, 0.013077688660539825, 0.013077885764076362, 0.013078048163409794, 0.013078175182127099, 0.013078266290505463, 0.01307832110821518, 0.013078339406271677, 0.013078327206469849, 0.013078290644887631, 0.013078229834881425, 0.013078144965001603, 0.013078036298429635, 0.013077904172195707, 0.01307774899618195, 0.013077571251918198, 0.013077371491178387, 0.013077150334386816, 0.013076908468844847, 0.013076646646789373, 0.013076365683295323, 0.013076066454035045, 0.013075749892908045, 0.013075416989554894, 0.013075068786768942, 0.013074706377820195, 0.013074330903704717, 0.013073943550333105, 0.013073545545670929, 0.013073138156843227, 0.013072722687214574, 0.013072300473454913, 0.013071872882600434, 0.013071441309117649, 0.013071007171976987, 0.013070571911741231, 0.013070136987672154, 0.013069703874857303, 0.013069274061356774, 0.013068849045368428, 0.013068430332407567, 0.013068019432495666, 0.013067617857350371, 0.013067227117567188, 0.013066848719781221, 0.013066484163795382, 0.013066134939659423, 0.013065802524682398, 0.013065488380359256, 0.013065193949190625, 0.013064920651373286, 0.013064669881337535, 0.013064443004106597, 0.013064241351452406, 0.013064066217821841, 0.01306391885600749, 0.013063800472537829, 0.013063712222762884, 0.013063655205613818, 0.013063630458017597, 0.013063638948952332, 0.013063681573133942, 0.013063759144331338, 0.013063872388315642, 0.013064021935458275, 0.013064208313004285, 0.013064431937060353, 0.0130646931043517, 0.013064991983818842, 0.013065328608143438, 0.013065702865312112, 0.013066114490347955, 0.013066563057360942, 0.013067047972089851, 0.013067568465129065, 0.013068123586052603, 0.013068712198663974, 0.013069332977612692, 0.013069984406625025, 0.013070664778596785, 0.013071372197788023, 0.013072104584342114, 0.013072859681324369, 0.01307363506443668, 0.013074428154515004, 0.013075236232856224, 0.013076056459350408, 0.013076885893316235, 0.013077721516853512, 0.013078560260439791, 0.013079399030413035, 0.013080234737901609, 0.013081064328692006, 0.013081884813467119, 0.013082693297807105, 0.013083487011324594, 0.013084263335307458, 0.0130850198282668, 0.013085754248835199, 0.013086464575528096, 0.013087149022967471, 0.013087806054267395, 0.013088434389390762, 0.013089033009401082, 0.0130896011566464, 0.013090138331020766, 0.013090644282545794, 0.013091119000598912, 0.013091562700182451, 0.013091975805676413, 0.013092358932548941, 0.0130927128675104, 0.013093038547592519, 0.013093337038614331, 0.013093609513464459, 0.013093857230587218, 0.013094081513010858, 0.013094283728203079, 0.013094465268983804, 0.013094627535670526, 0.013094771919579746, 0.013094899787959394, 0.013095012470384158, 0.013095111246607933, 0.013095197335836129, 0.013095271887355358, 0.013095335972438848, 0.013095390577432196, 0.013095436597916371, 0.013095474833841065, 0.013095505985522882, 0.013095530650406991, 0.013095549320499049, 0.013095562380384155, 0.013095570105762283, 0.013095572662443582], [0.014131095354285592, 0.014131079369050335, 0.014131031453116415, 0.014130951725653524, 0.01413084038479331, 0.014130697706907846, 0.014130524045610458, 0.014130319830489036, 0.014130085565585421, 0.014129821827636996, 0.014129529264098587, 0.0141292085909658, 0.014128860590422405, 0.014128486108336454, 0.014128086051631237, 0.014127661385558774, 0.014127213130904297, 0.014126742361151247, 0.014126250199636889, 0.014125737816728916, 0.014125206427053946, 0.014124657286808272, 0.014124091691181907, 0.014123510971925952, 0.014122916495093433, 0.014122309658983282, 0.014121691892316478, 0.014121064652673185, 0.014120429425218933, 0.014119787721747634, 0.014119141080068743, 0.014118491063765287, 0.014117839262349318, 0.01411718729184072, 0.01411653679579513, 0.014115889446805693, 0.014115246948503402, 0.014114611038079136, 0.014113983489349497, 0.014113366116386606, 0.014112760777729086, 0.014112169381187843, 0.014111593889254773, 0.014111036325115449, 0.014110498779257227, 0.01410998341665126, 0.014109492484470531, 0.014109028320284213, 0.014108593360641129, 0.014108190149920277, 0.014107821349282445, 0.0141074897455029, 0.014107198259398273, 0.014106949953480477, 0.014106748038373567, 0.014106595877415798, 0.014106496988736908, 0.014106455043950836, 0.014106473862437486, 0.014106557400009581, 0.014106709730577949, 0.014106935019254745, 0.014107237485186136, 0.014107621352309904, 0.014108090786222867, 0.014108649815460398, 0.014109302235786804, 0.014110051496626523, 0.014110900569590034, 0.014111851800212329, 0.014112906745555032, 0.014114066002214935, 0.014115329031466999, 0.014116693990606917, 0.014118157581818502, 0.014119714931755848, 0.014121359516110814, 0.014123083143318449, 0.014124876009866302, 0.014126726836187077, 0.014128623086827777, 0.014130551271811407, 0.014132497318479416, 0.014134446995546375, 0.014136386364685118, 0.01413830223072054, 0.014140182560212681, 0.014142016840186511, 0.014143796353816898, 0.014145514357300021, 0.014147166150874151, 0.014148749045786019, 0.014150262236820824, 0.014151706595991069, 0.014153084406672222, 0.014154399058842002, 0.014155654725420803, 0.014156856037535239, 0.014158007773436031, 0.014159114572371529, 0.014160180681426356, 0.01416120974051676, 0.014162204608579424, 0.014163167232557266, 0.014164098560025476, 0.014164998496089272, 0.014165865905342153, 0.014166698659986654, 0.014167493735451935, 0.014168247354746205, 0.014168955182106582, 0.014169612565022621, 0.014170214821222032, 0.014170757563613863, 0.014171237051517099, 0.014171650550992393, 0.014171996681228014, 0.014172275718486182, 0.014172489825149067, 0.014172643170161392, 0.014172741909901657, 0.014172794006208918, 0.014172808871314734, 0.014172796847208218, 0.014172768547772045, 0.014172734113022986, 0.014172702442353623, 0.014172680484084342, 0.014172672658953306, 0.014172673088271385, 0.014172674313060985, 0.01417267614684457, 0.01417267828872415, 0.014172680337690821, 0.014172681811623594, 0.014172682170032246, 0.014172680839446995, 0.014172677240278325, 0.014172670813965324, 0.014172661049294582, 0.014172647506895182, 0.014172629841084285, 0.014172607818436881, 0.014172581332666346, 0.014172550415614521, 0.014172515244347629, 0.014172476144528634, 0.014172433590379164, 0.014172388201652928, 0.014172340738116025, 0.01417229209206994, 0.01417224327946387, 0.014172195430129302, 0.014172149777636618, 0.01417210764922709, 0.014172070456218239, 0.014172039685221948, 0.014172016890455802, 0.014172003687372916, 0.014172001747785589, 0.014172012796615622, 0.014172038610370089, 0.014172081017415343, 0.014172141900106034, 0.014172223198817512, 0.01417232691793114, 0.014172455133830753, 0.014172610004985849, 0.014172793784222031, 0.014173008833312746, 0.014173257640068186, 0.014173542838148614, 0.014173867229891416, 0.014174233812515457, 0.014174645808155223, 0.014175106698284434, 0.014175620263217328, 0.01417619062753245, 0.014176822312454113, 0.014177520296461254, 0.014178290085682459, 0.014179137795996354, 0.014180070249207661, 0.01418109508623806, 0.014182220900993319, 0.014183457399490975, 0.014184815590021011, 0.014186308011651917, 0.014187949010406119, 0.014189755075076586, 0.014191745248171503, 0.014193941632179616, 0.014196370017708718, 0.01419906066872801, 0.014202049312112846, 0.014205378395377666, 0.014209098700032487, 0.014213271431658441, 0.014217970956579656, 0.014223288426766439, 0.014229336641877952, 0.014236256660559533, 0.014244226926218627, 0.014253476073362937, 0.014264301230286141, 0.014277094714172864, 0.014292383862758044, 0.01431089201048737, 0.014333634591991702, 0.014362075749252759, 0.014398393587368804, 0.014445950264999499, 0.014510171158119794, 0.014600299625181605, 0.014733192532754635, 0.014942411040256898, 0.015303114348781999, 0.016014030458718478, 0.017751355308842528, 0.024009898438614827, 0.059335307662784463, 0.030864248105701701, 0.018264403676312501, 0.015779399311588956, 0.014959136369151171, 0.014602049782234741, 0.014418998698803736, 0.014314577329835732, 0.014250370724670744, 0.014208646050658715, 0.014180359512812619, 0.014160534663502238, 0.014146264301509087, 0.014135765944674377, 0.014127902270472146, 0.01412192295588534, 0.014117318744723432, 0.014113735467171143, 0.014110921548546462, 0.014108694959122927, 0.014106921834669512, 0.014105502312713233, 0.014104360948262316, 0.014103440104542772, 0.014102695317456979, 0.014102091994637102, 0.014101603032755559, 0.01410120707685081, 0.014100887235310899, 0.014100630122904266, 0.014100425143312093, 0.01410026394902348, 0.014100140034593762, 0.014100048431932464, 0.01409998548529297, 0.014099948690177229, 0.01409993658525386, 0.014099948690177232, 0.014099985485292966, 0.014100048431932462, 0.014100140034593762, 0.014100263949023487, 0.014100425143312093, 0.014100630122904268, 0.014100887235310899, 0.01410120707685081, 0.014101603032755563, 0.014102091994637102, 0.014102695317456986, 0.014103440104542774, 0.014104360948262316, 0.014105502312713233, 0.014106921834669507, 0.014108694959122928, 0.014110921548546462, 0.014113735467171143, 0.014117318744723432, 0.014121922955885345, 0.014127902270472151, 0.014135765944674384, 0.01414626430150908, 0.014160534663502245, 0.014180359512812631, 0.014208646050658739, 0.014250370724670744, 0.014314577329835737, 0.014418998698803746, 0.014602049782234771, 0.014959136369150958, 0.01577939931158932, 0.018264403676311287, 0.030864248105700827, 0.059335307662831037, 0.024009898438616506, 0.017751355308842299, 0.016014030458718496, 0.015303114348782301, 0.014942411040257134, 0.014733192532754649, 0.014600299625181619, 0.014510171158119771, 0.014445950264999535, 0.014398393587368823, 0.014362075749252769, 0.014333634591991714, 0.014310892010487374, 0.01429238386275806, 0.014277094714172876, 0.014264301230286157, 0.014253476073362938, 0.014244226926218635, 0.014236256660559537, 0.014229336641877949, 0.014223288426766434, 0.014217970956579654, 0.014213271431658441, 0.01420909870003249, 0.014205378395377666, 0.014202049312112844, 0.014199060668728012, 0.014196370017708715, 0.014193941632179616, 0.014191745248171501, 0.014189755075076594, 0.014187949010406117, 0.014186308011651919, 0.014184815590021008, 0.014183457399490973, 0.014182220900993319, 0.014181095086238054, 0.014180070249207656, 0.014179137795996354, 0.014178290085682464, 0.014177520296461254, 0.014176822312454113, 0.01417619062753245, 0.014175620263217337, 0.014175106698284434, 0.014174645808155219, 0.014174233812515454, 0.014173867229891415, 0.01417354283814861, 0.014173257640068188, 0.014173008833312746, 0.014172793784222032, 0.014172610004985849, 0.014172455133830756, 0.01417232691793114, 0.014172223198817514, 0.014172141900106038, 0.014172081017415343, 0.014172038610370093, 0.014172012796615624, 0.014172001747785583, 0.014172003687372918, 0.014172016890455798, 0.014172039685221946, 0.014172070456218237, 0.01417210764922709, 0.014172149777636617, 0.014172195430129299, 0.01417224327946387, 0.01417229209206994, 0.014172340738116023, 0.014172388201652926, 0.01417243359037916, 0.014172476144528635, 0.014172515244347626, 0.014172550415614523, 0.014172581332666348, 0.014172607818436876, 0.014172629841084285, 0.014172647506895182, 0.014172661049294582, 0.014172670813965322, 0.014172677240278323, 0.014172680839446995, 0.014172682170032248, 0.014172681811623592, 0.014172680337690821, 0.014172678288724146, 0.01417267614684457, 0.014172674313060985, 0.014172673088271387, 0.014172672658953304, 0.014172672874893107, 0.014172673506352379, 0.014172674504668059, 0.014172675790115098, 0.014172677253938226, 0.014172678761121377, 0.014172680153822975, 0.014172681255389249, 0.01417268187484493, 0.014172681811751188, 0.014172680861314874, 0.014172678819631093, 0.014172675488942688, 0.014172670682805135, 0.014172664231053319, 0.014172655984477056, 0.014172645819124897, 0.014172633640169505, 0.014172619385282935, 0.014172603027485157, 0.014172584577444153, 0.014172564085220397, 0.014172541641461506, 0.01417251737806513, 0.014172491468338259, 0.014172464126689925, 0.014172435607901202, 0.014172406206021407, 0.014172376252943077, 0.014172346116709932, 0.014172316199612576, 0.014172286936125888, 0.014172258790740128, 0.014172232255734942, 0.014172207848942258, 0.01417218611153985, 0.014172167605913475, 0.014172152913620789, 0.014172142633486115, 0.014172137379850822, 0.014172137780999858, 0.014172144477781329, 0.014172158122432582, 0.014172179377622879, 0.014172208915720559, 0.014172247418289692, 0.014172295575819961, 0.014172354087691625, 0.014172423662376629, 0.014172505017876121, 0.014172598882394475, 0.014172705995249861, 0.014172827108021882, 0.014172962985937452, 0.014173114409497159, 0.014173282176345579, 0.01417346710339063, 0.014173670029178905, 0.014173891816536142, 0.014174133355484123, 0.014174395566448549, 0.014174679403774927, 0.014174985859573374, 0.014175315967916793, 0.014175670809421267, 0.014176051516242308, 0.014176459277525784, 0.014176895345358643, 0.01417736104127114, 0.014177857763350015, 0.014178386994030963, 0.014178950308648523, 0.014179549384833165, 0.014180186012858257, 0.01418086210705494, 0.014181579718430292, 0.014182341048644459, 0.014183148465526114, 0.014184004520332959, 0.014184911966996372, 0.014185873783627047, 0.014186893196602863, 0.014187973707613103, 0.014189119124095107, 0.014190333593573884, 0.014191621642503111, 0.014192988220312093, 0.014194438749489908, 0.014195979182691007, 0.01419761606803167, 0.014199356623971388, 0.014201208825447223, 0.014203181503264753, 0.014205284459161591, 0.014207528599469155, 0.014209926090930716, 0.014212490543022545, 0.014215237222113829, 0.014218183304047727, 0.014221348173305892, 0.014224753778934099, 0.014228425059992561, 0.01423239045663479, 0.014236682527263877, 0.014241338697908165, 0.014246402177475876, 0.014251923082556635, 0.014257959828878904, 0.014264580864749923, 0.014271866846740883, 0.014279913392371439, 0.014288834592792499, 0.014298767536763167, 0.014309878195152902, 0.014322369157596887, 0.014336489923097029, 0.014352550761614973, 0.014370941645002272, 0.014392158494671421, 0.014416840184001274, 0.014445821670191233, 0.014480211862456672, 0.014521510383385209, 0.014571787218324755, 0.014633967323804455, 0.014712296858287717, 0.014813137056678548, 0.014946378540069891, 0.01577044895520302, 0.019575616074388937, 0.084142736720434971, 0.018966284057045243, 0.015197253174573652, 0.014526128907792007, 0.014307972904366244, 0.014214891684068434, 0.014168554312640164, 0.014143112306404842, 0.014128185046285161, 0.014119010120895791, 0.014113181228881127, 0.014109390079826555, 0.014106883195808073, 0.014105205976607093, 0.014104073409282224, 0.014103300928638181, 0.014102765652654925, 0.014102383766681395, 0.01410209688035139, 0.014101863567995296, 0.014101654014290374, 0.014101446591969756, 0.014101225700422155, 0.014100980490224469, 0.014100704293027887, 0.014100394731819663, 0.014100054654697223, 0.01409969427992001, 0.014099335374110414, 0.014099019148423538, 0.014098821409466746, 0.01409888276004392, 0.014099472200625213, 0.01410113109358475, 0.014105031099168615, 0.014113982488129102, 0.014135813891080453, 0.014198076826883718, 0.014448229564271005, 0.017136765877875354, 0.020451817049865848, 0.014927232150410608, 0.014444828397026332, 0.014303205856767118, 0.014240766120302797, 0.014206873300369507, 0.014185978184975807, 0.014171935009627514, 0.014161887932931383, 0.014154350697540233, 0.014148482141807589, 0.014143774455229361, 0.014139904992631343, 0.014136660100871518, 0.01413389340535514, 0.014131501741030172, 0.014129410639873845, 0.014127565245669665, 0.014125924438775587, 0.014124456927463943, 0.014123138581779856, 0.014121950574131315, 0.014120878056543603, 0.014119909202792767, 0.014119034503562953, 0.014118246240240157, 0.014117538086913442, 0.014116904805791721, 0.014116342011642309, 0.014115845987890981, 0.014115413541856777, 0.014115041889964661, 0.014114728566161056, 0.014114471348462082, 0.014114268199799003, 0.014114117220230135, 0.014114016608258062, 0.014113964629492203, 0.014113959591275305, 0.014113999822181431, 0.014114083655515223, 0.014114209416115553, 0.01411437540990187, 0.014114579915709023, 0.014114821179041977, 0.014115097407450277, 0.014115406767278113, 0.014115747381590792, 0.014116117329115739, 0.014116514644066406, 0.014116937316742604, 0.014117383294821248, 0.014117850485268485, 0.014118336756817803, 0.014118839942969818, 0.014119357845478275, 0.014119888238293313, 0.014120428871938292, 0.014120977478299653, 0.014121531775811411, 0.014122089475016595, 0.014122648284487799, 0.014123205917087406, 0.014123760096546312, 0.014124308564336972, 0.01412484908681323, 0.014125379462585583, 0.014125897530096493, 0.014126401175355914, 0.014126888339792828, 0.014127357028174687, 0.014127805316542032, 0.014128231360102611, 0.014128633401025605, 0.014129009776074505, 0.014129358924015284, 0.01412967939273531, 0.014129969846008986, 0.014130229069846619, 0.014130455978365129, 0.014130649619122429, 0.014130809177860824, 0.014130933982610413, 0.01413102350710878, 0.014131077373500259, 0.014131095354285592, 0.014131083366004639, 0.014131047438736171, 0.014130987685090055, 0.014130904292373065, 0.014130797522026914, 0.014130667708847197, 0.014130515259988343, 0.014130340653761515, 0.014130144438233672, 0.014129927229636893, 0.014129689710598806, 0.014129432628205185, 0.014129156791907281, 0.014128863071286583, 0.014128552393690588, 0.014128225741753278, 0.014127884150814196, 0.014127528706250113, 0.014127160540732922, 0.014126780831427131, 0.014126390797139772, 0.014125991695434839, 0.014125584819723598, 0.014125171496340889, 0.014124753081616648, 0.014124330958950507, 0.014123906535895844, 0.014123481241258267, 0.014123056522211859, 0.014122633841434761, 0.014122214674264007, 0.014121800505867565, 0.014121392828429613, 0.01412099313834334, 0.014120602933403318, 0.014120223709987587, 0.014119856960217822, 0.014119504169083587, 0.014119166811515056, 0.014118846349386706, 0.014118544228432436, 0.014118261875051363, 0.014118000692981639, 0.014117762059818663, 0.014117547323353035, 0.014117357797702684, 0.014117194759213782, 0.014117059442104792, 0.014116953033829205, 0.014116876670133751, 0.014116831429791232, 0.014116818328990338, 0.01411683831536901, 0.014116892261683441, 0.014116980959111373, 0.01411710511019691, 0.014117265321453503, 0.014117462095653469, 0.01411769582384562, 0.014117966777157485, 0.014118275098455266, 0.014118620793953139, 0.014119003724882924, 0.014119423599355911, 0.014119879964569898, 0.014120372199535316, 0.014120899508514915, 0.014121460915389426, 0.014122055259177485, 0.014122681190949024, 0.014123337172377341, 0.014124021476173899, 0.014124732188640847, 0.014125467214557442, 0.014126224284588103, 0.01412700096535981, 0.014127794672305875, 0.014128602685312092, 0.014129422167130146, 0.014130250184444911, 0.014131083731398646, 0.014131919755289234, 0.014132755184075642, 0.014133586955245468, 0.014134412045530384, 0.014135227500900967, 0.01413603046623441, 0.014136818214031574, 0.014137588171564353, 0.014138337945861947, 0.014139065345994333, 0.014139768402181223, 0.014140445381342567, 0.014141094798807636, 0.014141715426009567, 0.014142306294105787, 0.014142866693576832, 0.014143396169961962, 0.014143894515984964, 0.01414436176040464, 0.014144798153989023, 0.014145204153058547, 0.014145580401071188, 0.014145927708732719, 0.014146247033108036, 0.014146539456188507, 0.014146806163336623, 0.014147048421986354, 0.014147267560928236, 0.014147464950454722, 0.014147641983586656, 0.014147800058547648, 0.014147940562601916, 0.014148064857323516, 0.014148174265322815, 0.01414827005841942, 0.014148353447220086, 0.014148425572035932, 0.014148487495054842, 0.014148540193671996, 0.014148584554874302, 0.014148621370571206, 0.014148651333766176, 0.014148675035467503, 0.014148692962245499, 0.014148705494353236, 0.014148712904340565, 0.014148715356105309], [0.015264037758653348, 0.015264022469375482, 0.015263976640268394, 0.015263900387368794, 0.015263793903596704, 0.015263657458048991, 0.015263491395021138, 0.015263296132767473, 0.015263072162013287, 0.015262820044234883, 0.015262540409725646, 0.015262233955468987, 0.015261901442840797, 0.015261543695165714, 0.015261161595153332, 0.015260756082241596, 0.015260328149875765, 0.015259878842752058, 0.015259409254055764, 0.015258920522723934, 0.015258413830762988, 0.015257890400651369, 0.015257351492857644, 0.015256798403503666, 0.01525623246220242, 0.015255655030099612, 0.015255067498147343, 0.01525447128563817, 0.015253867839026785, 0.015253258631066361, 0.015252645160286085, 0.015252028950835675, 0.01525141155272248, 0.01525079454246614, 0.015250179524195169, 0.015249568131209291, 0.015248962028030475, 0.015248362912964502, 0.015247772521193345, 0.015247192628416416, 0.015246625055055953, 0.01524607167103734, 0.015245534401149986, 0.015245015230986387, 0.015244516213447357, 0.0152440394757879, 0.015243587227161423, 0.015243161766597615, 0.01524276549132157, 0.015242400905286349, 0.015242070627747137, 0.015241777401650756, 0.015241524101548037, 0.015241313740656248, 0.015241149476603507, 0.015241034615274757, 0.0152409726120498, 0.015240967069577697, 0.015241021731071114, 0.015241140467933503, 0.015241327260359256, 0.015241586169384723, 0.015241921298734506, 0.015242336744728507, 0.015242836532523174, 0.015243424537098291, 0.015244104387716013, 0.015244879355127094, 0.015245752221632637, 0.015246725135273231, 0.015247799450933564, 0.015248975563004523, 0.015250252736366177, 0.015251628944700082, 0.015253100727279706, 0.015254663077111975, 0.01525630937423437, 0.015258031377716206, 0.015259819288124315, 0.015261661888688105, 0.01526354676815987, 0.015265460621736129, 0.015267389619021653, 0.015269319820779016, 0.015271237620145898, 0.015273130180094286, 0.015274985837867254, 0.015276794449244678, 0.015278547650537202, 0.015280239023487088, 0.015281864156730959, 0.015283420605991957, 0.015284907762656919, 0.01528632664607381, 0.015287679638370976, 0.015288970181831854, 0.015290202458152692, 0.015291381066768207, 0.015292510716432036, 0.015293595940942144, 0.015294640846765949, 0.015295648897668606, 0.015296622739465093, 0.015297564066757596, 0.015298473532938998, 0.015299350704716707, 0.015300194062760262, 0.015301001050580791, 0.01530176817415963, 0.01530249115488282, 0.015303165137718441, 0.015303784955008641, 0.015304345443484498, 0.015304841807976392, 0.015305270019761553, 0.015305627230767725, 0.015305912177457335, 0.015306125541045639, 0.015306270225041541, 0.015306351508525412, 0.015306377035767427, 0.015306356611158294, 0.015306301783672507, 0.015306225226733869, 0.015306139945409157, 0.015306058369774481, 0.015305991416393841, 0.015305947614155926, 0.015305932392177948, 0.015305933234479895, 0.015305935682014112, 0.015305939500368397, 0.015305944310998115, 0.01530594960875605, 0.015305954785119676, 0.015305959155919438, 0.01530596199218515, 0.015305962552635995, 0.015305960116343912, 0.015305954014192769, 0.01530594365792259, 0.015305928565771051, 0.015305908383981973, 0.01530588290372167, 0.015305852073209813, 0.015305816005114303, 0.015305774979469665, 0.015305729442545549, 0.015305680002214737, 0.015305627420447516, 0.015305572603595607, 0.015305516591129366, 0.015305460543463068, 0.015305405729452529, 0.015305353514084253, 0.015305305346801511, 0.015305262750837077, 0.015305227313848164, 0.015305200680080991, 0.015305184544231675, 0.015305180647119523, 0.015305190773248333, 0.015305216750301224, 0.015305260450595215, 0.015305323794511964, 0.015305408755921082, 0.015305517369620695, 0.015305651740836942, 0.015305814056848482, 0.015306006600834794, 0.015306231768087337, 0.015306492084771448, 0.015306790229485452, 0.015307129057932438, 0.015307511631102165, 0.015307941247458613, 0.015308421479744832, 0.015308956217158057, 0.015309549713818083, 0.015310206644660601, 0.015310932170143081, 0.015311732011468604, 0.015312612538428824, 0.015313580872464734, 0.015314645008172766, 0.015315813957284367, 0.015317097920173417, 0.015318508491270762, 0.015320058906487846, 0.015321764343009071, 0.015323642284794626, 0.015325712971107753, 0.015327999950719439, 0.015330530771686529, 0.015333337846526561, 0.015336459546361973, 0.015339941596873135, 0.015343838876226893, 0.015348217754425096, 0.015353159170779548, 0.01535876273099397, 0.015365152232951563, 0.015372483225941539, 0.01538095351397829, 0.015390818002781317, 0.015402410090372713, 0.015416173146929425, 0.015432707960259182, 0.015452846197083904, 0.015477767692140118, 0.015509194446368956, 0.01554972495972224, 0.015603438982721913, 0.015677056596720047, 0.015782322083396229, 0.015941357579172019, 0.016200124100183608, 0.016667777931828939, 0.017658965475059824, 0.020402965417689121, 0.032803731351250837, 0.060734364605797175, 0.024203047854481838, 0.018070062117609316, 0.016520110739247446, 0.01593593990482451, 0.015661454706774696, 0.015513627566586844, 0.015426327273712832, 0.015371244914734886, 0.015334722257934258, 0.015309556291761605, 0.015291677717073291, 0.015278658095783611, 0.015268982001572824, 0.015261668020838169, 0.015256060384902664, 0.015251709061774872, 0.015248298015556801, 0.015245600819512116, 0.01524345237845701, 0.015241730445160931, 0.015240343260824482, 0.015239221121738374, 0.015238310520032564, 0.015237570006520583, 0.015236967227042989, 0.01523647677211782, 0.015236078599210027, 0.015235756864225909, 0.015235499049745197, 0.015235295311610862, 0.015235137988731577, 0.015235021237051104, 0.015234940760000381, 0.015234893615942754, 0.015234878089201383, 0.015234893615942753, 0.015234940760000376, 0.015235021237051108, 0.015235137988731575, 0.015235295311610865, 0.015235499049745202, 0.015235756864225914, 0.015236078599210031, 0.01523647677211782, 0.015236967227042993, 0.015237570006520582, 0.015238310520032571, 0.015239221121738372, 0.015240343260824478, 0.015241730445160929, 0.015243452378457003, 0.015245600819512121, 0.015248298015556801, 0.015251709061774872, 0.015256060384902667, 0.015261668020838172, 0.015268982001572829, 0.015278658095783611, 0.015291677717073279, 0.015309556291761617, 0.015334722257934277, 0.015371244914734919, 0.015426327273712834, 0.015513627566586851, 0.015661454706774717, 0.015935939904824538, 0.01652011073924706, 0.018070062117610006, 0.024203047854478438, 0.060734364605796377, 0.032803731351275664, 0.020402965417689756, 0.017658965475059688, 0.016667777931828925, 0.016200124100183833, 0.015941357579172179, 0.015782322083396239, 0.015677056596720057, 0.015603438982721894, 0.015549724959722268, 0.01550919444636898, 0.015477767692140126, 0.015452846197083911, 0.015432707960259182, 0.015416173146929437, 0.015402410090372725, 0.015390818002781333, 0.015380953513978292, 0.015372483225941541, 0.015365152232951554, 0.015358762730993972, 0.015353159170779543, 0.015348217754425098, 0.015343838876226893, 0.015339941596873146, 0.015336459546361973, 0.015333337846526561, 0.015330530771686529, 0.01532799995071943, 0.015325712971107758, 0.01532364228479462, 0.015321764343009078, 0.015320058906487846, 0.015318508491270765, 0.015317097920173413, 0.015315813957284366, 0.015314645008172766, 0.015313580872464733, 0.015312612538428826, 0.015311732011468604, 0.015310932170143085, 0.015310206644660601, 0.015309549713818087, 0.015308956217158054, 0.015308421479744833, 0.015307941247458611, 0.015307511631102168, 0.015307129057932434, 0.015306790229485457, 0.015306492084771446, 0.015306231768087339, 0.015306006600834796, 0.015305814056848483, 0.015305651740836944, 0.015305517369620695, 0.015305408755921077, 0.015305323794511966, 0.015305260450595213, 0.015305216750301226, 0.015305190773248333, 0.015305180647119518, 0.015305184544231675, 0.015305200680080993, 0.015305227313848159, 0.015305262750837073, 0.015305305346801515, 0.015305353514084255, 0.015305405729452529, 0.015305460543463064, 0.015305516591129366, 0.015305572603595607, 0.015305627420447516, 0.015305680002214739, 0.015305729442545549, 0.015305774979469663, 0.015305816005114301, 0.015305852073209811, 0.015305882903721665, 0.015305908383981968, 0.015305928565771051, 0.015305943657922587, 0.015305954014192765, 0.015305960116343909, 0.015305962552635994, 0.015305961992185153, 0.015305959155919438, 0.015305954785119672, 0.015305949608756053, 0.015305944310998115, 0.015305939500368392, 0.015305935682014108, 0.015305933234479889, 0.015305932392177951, 0.015305932814914073, 0.01530593406227802, 0.015305936072248838, 0.015305938743151799, 0.015305941936150085, 0.015305945478637792, 0.015305949168443337, 0.015305952778732101, 0.015305956063481483, 0.015305958763389709, 0.015305960612073408, 0.015305961342406773, 0.015305960692858053, 0.015305958413686212, 0.015305954272871234, 0.015305948061665572, 0.015305939599670793, 0.015305928739361164, 0.015305915369995223, 0.015305899420875315, 0.015305880863933769, 0.015305859715642302, 0.015305836038256949, 0.015305809940425508, 0.015305781577196542, 0.015305751149478665, 0.015305718903007142, 0.015305685126879324, 0.01530565015172468, 0.015305614347575869, 0.015305578121507258, 0.015305541915105293, 0.015305506201832225, 0.015305471484340612, 0.015305438291791078, 0.01530540717722099, 0.01530537871500595, 0.015305353498450518, 0.015305332137539169, 0.015305315256873141, 0.015305303493814091, 0.015305297496850513, 0.015305297924199407, 0.015305305442651457, 0.015305320726665309, 0.015305344457713777, 0.015305377323882804, 0.015305420019722267, 0.015305473246346794, 0.015305537711783893, 0.015305614131566414, 0.015305703229566609, 0.015305805739069256, 0.015305922404082265, 0.015306053980884126, 0.015306201239808935, 0.015306364967271377, 0.015306545968035837, 0.015306745067735964, 0.015306963115653438, 0.015307200987767278, 0.015307459590087903, 0.015307739862293668, 0.015308042781690796, 0.015308369367521942, 0.015308720685652772, 0.015309097853671185, 0.015309502046438791, 0.01530993450214105, 0.015310396528888857, 0.015310889511932536, 0.015311414921558169, 0.015311974321746077, 0.015312569379683299, 0.015313201876234986, 0.015313873717495324, 0.015314586947556238, 0.015315343762653002, 0.015316146526869879, 0.01531699778961719, 0.015317900305124008, 0.015318857054229501, 0.015319871268801615, 0.015320946459165586, 0.015322086444988798, 0.015323295390144516, 0.015324577842167857, 0.015325938777026005, 0.015327383650055178, 0.015328918454074775, 0.015330549785879281, 0.015332284922540717, 0.015334131909237068, 0.015336099660668496, 0.015338198078549817, 0.015340438188194784, 0.015342832297862661, 0.015345394185355221, 0.015348139317378235, 0.0153510851084761, 0.01535425122799112, 0.015357659965596007, 0.01536133666864278, 0.015365310268055352, 0.015369613914031193, 0.01537428574877113, 0.015379369851328401, 0.015384917400164049, 0.015390988113111629, 0.015397652043618388, 0.015404991838404474, 0.015413105598090338, 0.015422110533364557, 0.015432147681639558, 0.015443388053149983, 0.015456040727023813, 0.015470363642124183, 0.01548667816477251, 0.015505389031932975, 0.015527012074774665, 0.015552213413566291, 0.01558186591475311, 0.015617132220147578, 0.015659589728633884, 0.015711423727011859, 0.015775734855122066, 0.015857045593618193, 0.015962168242488479, 0.016567006784247721, 0.018822821454364702, 0.047382511225148569, 0.024735710070331148, 0.016816580057567393, 0.015794404720233038, 0.015497905930377965, 0.015378195721917969, 0.015320373549201443, 0.015289147517619344, 0.01527096879239281, 0.015259808891809532, 0.015252687548276102, 0.015248010112042916, 0.015244869038461948, 0.015242721611405783, 0.01524122980682637, 0.015240175782386282, 0.015239414998471368, 0.015238849104728294, 0.015238409698540376, 0.015238048310861839, 0.015237730095302814, 0.015237429806090733, 0.015237129259962344, 0.015236815832936422, 0.01523648177359461, 0.015236124296455891, 0.015235746613210565, 0.015235360340994389, 0.015234990227883674, 0.01523468313888162, 0.015234525419012879, 0.015234677806449461, 0.015235449784762864, 0.015237470357253502, 0.01524212099436959, 0.015252788519799016, 0.015279232968174005, 0.015357831027716283, 0.015707611147315628, 0.02136560557658175, 0.018763414530663373, 0.015906688288045954, 0.015541268558378986, 0.015422409152595223, 0.015367446850292768, 0.015336773538178144, 0.015317514079154425, 0.015304399397438172, 0.01529492252252332, 0.015287756262995798, 0.015282139704626302, 0.015277608818780193, 0.015273866385823138, 0.015270714289214393, 0.015268016058017694, 0.015265675068851455, 0.015263621307618585, 0.015261803030624348, 0.015260181343007393, 0.015258726574921253, 0.015257415799421111, 0.015256231095010179, 0.015255158305577238, 0.015254186139751736, 0.015253305506408545, 0.015252509017400794, 0.015251790610645544, 0.015251145261125865, 0.015250568757004592, 0.015250057524579252, 0.015249608490309602, 0.015249218971296117, 0.015248886587816859, 0.015248609193129245, 0.015248384816903627, 0.015248211619507498, 0.015248087854990992, 0.015248011841097931, 0.015247981934985175, 0.015247996513606962, 0.015248053957932396, 0.015248152640328805, 0.015248290914572821, 0.015248467108053729, 0.015248679515815331, 0.015248926396148338, 0.015249205967498909, 0.015249516406502349, 0.015249855846986573, 0.015250222379819494, 0.015250614053498382, 0.0152510288753993, 0.015251464813620923, 0.015251919799370352, 0.015252391729849166, 0.015252878471606683, 0.015253377864333381, 0.015253887725072843, 0.015254405852833315, 0.015254930033582208, 0.015255458045607385, 0.015255987665228872, 0.015256516672843038, 0.0152570428592795, 0.015257564032447922, 0.015258078024248624, 0.01525858269771695, 0.015259075954367467, 0.015259555741699347, 0.015260020060820275, 0.015260466974141892, 0.015260894613095474, 0.015261301185813321, 0.015261684984717812, 0.015262044393957661, 0.01526237789662932, 0.015262684081719919, 0.015262961650708803, 0.015263209423764974, 0.015263426345480101, 0.01526361149007942, 0.015263764066056831, 0.015263883420185599, 0.015263969040861488, 0.015264020560742076, 0.015264037758653348, 0.015264026292317812, 0.015263991929830105, 0.015263934780636115, 0.015263855026777615, 0.015263752922342649, 0.015263628792701704, 0.015263483033534635, 0.015263316109655249, 0.015263128553641408, 0.015262920964279874, 0.015262694004836267, 0.015262448401161199, 0.015262184939644737, 0.015261904465031808, 0.015261607878111653, 0.015261296133294973, 0.015260970236092073, 0.015260631240505963, 0.015260280246353466, 0.015259918396527601, 0.015259546874213511, 0.015259166900069846, 0.015258779729386565, 0.01525838664922889, 0.015257988975576398, 0.01525758805046472, 0.015257185239135936, 0.015256781927202435, 0.015256379517827124, 0.015255979428921656, 0.015255583090361969, 0.015255191941219357, 0.015254807427002694, 0.015254430996906109, 0.015254064101054244, 0.015253708187735148, 0.015253364700609345, 0.015253035075881249, 0.015252720739417676, 0.015252423103796002, 0.015252143565263249, 0.015251883500585543, 0.015251644263766099, 0.015251427182608796, 0.015251233555103419, 0.01525106464560819, 0.015250921680804951, 0.015250805845402829, 0.015250718277566917, 0.015250660064050398, 0.015250632235010553, 0.015250635758492627, 0.015250671534569701, 0.015250740389132308, 0.015250843067328042, 0.015250980226660008, 0.015251152429762245, 0.015251360136881822, 0.015251603698110402, 0.0152518833454225, 0.015252199184594237, 0.015252551187094149, 0.015252939182056686, 0.015253362848469034, 0.015253821707722503, 0.01525431511669979, 0.015254842261588911, 0.015255402152631881, 0.015255993620030743, 0.015256615311243676, 0.015257265689908893, 0.015257943036631647, 0.015258645451860064, 0.015259370861055881, 0.015260117022337139, 0.0152608815367298, 0.015261661861114719, 0.015262455323895755, 0.015263259143344888, 0.015264070448503116, 0.015264886302434427, 0.01526570372754653, 0.015266519732610746, 0.015267331341038286, 0.015268135619904429, 0.015268929709160968, 0.01526971085044272, 0.015270476414859879, 0.015271223929175062, 0.01527195109979369, 0.015272655834047319, 0.015273336258320259, 0.015273990732657321, 0.015274617861590289, 0.015275216501029056, 0.015275785761174034, 0.015276325005515566, 0.015276833846088514, 0.015277312135241292, 0.01527775995425615, 0.015278177599218224, 0.015278565564573809, 0.015278924524843265, 0.015279255314961358, 0.015279558909709161, 0.01527983640267915, 0.015280088985180752, 0.015280317925450709, 0.015280524548483386, 0.015280710216743565, 0.015280876311970388, 0.015281024218228575, 0.0152811553063129, 0.015281270919566095, 0.015281372361129433, 0.015281460882610225, 0.01528153767412095, 0.015281603855621924, 0.015281660469481654, 0.01528170847415743, 0.015281748738891683, 0.01528178203931735, 0.015281809053867456, 0.015281830360888636, 0.015281846436367097, 0.015281857652185333, 0.01528186427484053, 0.01528186646456962], [0.016303800159672553, 0.016303785156534061, 0.016303740185611138, 0.016303665362238557, 0.016303560878166243, 0.016303427000852539, 0.016303264072485779, 0.016303072508744534, 0.016302852797310034, 0.016302605496147149, 0.016302331231572147, 0.016302030696128442, 0.016301704646293051, 0.016301353900038579, 0.016300979334276947, 0.016300581882212509, 0.016300162530633114, 0.016299722317168582, 0.016299262327546575, 0.016298783692876146, 0.016298287586989618, 0.016297775223872938, 0.016297247855215143, 0.016296706768106645, 0.016296153282915855, 0.016295588751373435, 0.016295014554892316, 0.016294432103151752, 0.016293842832972492, 0.01629324820751004, 0.016292649715791991, 0.016292048872625281, 0.016291447218898279, 0.016290846322302297, 0.016290247778496466, 0.016289653212738814, 0.016289064282005973, 0.016288482677622184, 0.016287910128416745, 0.016287348404426621, 0.016286799321157782, 0.016286264744414115, 0.016285746595697186, 0.016285246858171711, 0.016284767583181477, 0.01628431089728637, 0.016283879009773621, 0.016283474220573545, 0.016283098928481281, 0.016282755639549829, 0.016282446975474936, 0.016282175681736948, 0.016281944635197689, 0.016281756850769786, 0.016281615486679623, 0.016281523847733667, 0.016281485385868821, 0.016281503697123466, 0.016281582514007662, 0.016281725692085247, 0.016281937189413849, 0.016282221037336109, 0.016282581300993429, 0.016283022027869642, 0.016283547182698151, 0.016284160567224381, 0.01628486572365365, 0.016285665821185093, 0.016286563525885749, 0.016287560855336083, 0.016288659020997142, 0.016289858263089946, 0.016291157684863857, 0.016292555095314968, 0.016294046871467887, 0.016295627852945208, 0.016297291282351422, 0.016299028804610094, 0.016300830536491402, 0.016302685213969013, 0.016304580419797515, 0.016306502887140965, 0.01630843886785149, 0.016310374546980179, 0.016312296479305315, 0.016314192020019609, 0.016316049720900665, 0.016317859665543669, 0.016319613722318198, 0.016321305700916524, 0.016322931406674106, 0.016324488595134315, 0.016325976836579027, 0.016327397305706953, 0.016328752514936238, 0.016330046010930837, 0.016331282053200603, 0.01633246529149722, 0.016333600455790808, 0.016334692069409903, 0.016335744192907637, 0.016336760203698612, 0.016337742614673488, 0.016338692933902263, 0.01633961156713927, 0.016340497765024657, 0.016341349617460893, 0.016342164098402931, 0.016342937164971396, 0.01634366391507483, 0.016344338807273054, 0.016344955945075866, 0.016345509424910407, 0.016345993742337639, 0.016346404244636761, 0.01634673760974872, 0.016346992322298567, 0.016347169108008826, 0.016347271279808982, 0.016347304944341869, 0.016347279018595739, 0.016347205015078255, 0.016347096571518768, 0.016346968727293101, 0.016346836981370304, 0.01634671620119749, 0.01634661948248264, 0.016346557079637822, 0.016346535530069421, 0.016346536679717277, 0.016346540031441426, 0.016346545298130281, 0.016346552016164348, 0.016346559566890798, 0.016346567205008503, 0.016346574092341526, 0.016346579335250876, 0.016346582023830554, 0.016346581271055313, 0.016346576250181797, 0.016346566228932893, 0.016346550599290747, 0.016346528902059277, 0.016346500845703153, 0.01634646631930381, 0.01634642539977138, 0.016346378353703145, 0.016346325634472591, 0.016346267875268643, 0.016346205878882279, 0.016346140605063786, 0.016346073156257291, 0.016346004762468197, 0.0163459367659439, 0.016345870606258465, 0.016345807806294587, 0.016345749959519137, 0.016345698718856275, 0.01634565578737901, 0.016345622910967653, 0.016345601873024584, 0.016345594491288133, 0.016345602616754936, 0.016345628134698902, 0.016345672967764832, 0.016345739081114845, 0.016345828489615424, 0.016345943267070569, 0.016346085557532239, 0.016346257588752133, 0.016346461687879319, 0.016346700299555691, 0.016346976006617803, 0.016347291553678978, 0.016347649873942365, 0.016348054119686338, 0.016348507696970157, 0.016349014305236206, 0.016349577982638589, 0.016350203158115161, 0.016350894711448384, 0.016351658042842807, 0.016352499153896759, 0.016353424742284357, 0.016354442313015197, 0.016355560309838996, 0.016356788271255088, 0.016358137016735125, 0.016359618870253417, 0.016361247930158588, 0.016363040396969158, 0.016365014974053956, 0.016367193360674579, 0.016369600862959223, 0.016372267156676373, 0.016375227247096821, 0.016378522687124586, 0.016382203137249526, 0.016386328382774235, 0.016390970969870994, 0.016396219689641934, 0.016402184240112912, 0.016409001548843866, 0.016416844474814715, 0.016425933980371826, 0.016436556464292238, 0.016449088939847617, 0.016464036430143117, 0.016482088914935925, 0.016504210544276858, 0.016531784006610636, 0.016566853062778702, 0.016612548219042438, 0.016673873574242343, 0.016759254973278705, 0.016883828896893095, 0.017077138464149488, 0.017403557474703131, 0.018026611998484928, 0.01946830953762247, 0.024141037924666361, 0.04985374993690616, 0.040518935347045683, 0.021666866406950785, 0.018312008021164942, 0.017283524187989317, 0.016853742041553949, 0.016638846696840719, 0.01651823439620442, 0.016444884535795606, 0.0163975786731731, 0.016365674883718338, 0.016343391577016173, 0.016327384714646943, 0.016315620190874385, 0.016306808417091798, 0.016300103039685918, 0.016294932073384595, 0.01629089911820834, 0.016287723418155698, 0.016285202316696772, 0.016283187079320683, 0.01628156693892421, 0.016280258336864844, 0.01627919752636748, 0.016278335399164092, 0.016277633811113402, 0.016277062936690876, 0.016276599341461393, 0.016276224563470838, 0.01627592406086226, 0.016275686427063046, 0.016275502804623213, 0.016275366449213641, 0.016275272409594279, 0.016275217299597775, 0.016275199145710087, 0.016275217299597775, 0.016275272409594282, 0.016275366449213648, 0.016275502804623209, 0.016275686427063053, 0.01627592406086226, 0.016276224563470838, 0.0162765993414614, 0.016277062936690869, 0.016277633811113395, 0.016278335399164092, 0.016279197526367476, 0.016280258336864844, 0.01628156693892421, 0.01628318707932068, 0.016285202316696772, 0.016287723418155695, 0.016290899118208343, 0.016294932073384595, 0.016300103039685918, 0.016306808417091801, 0.016315620190874392, 0.016327384714646946, 0.016343391577016163, 0.016365674883718352, 0.016397578673173124, 0.016444884535795644, 0.01651823439620443, 0.016638846696840733, 0.016853742041553987, 0.017283524187989376, 0.018312008021164183, 0.021666866406952381, 0.04051893534703533, 0.049853749936904099, 0.024141037924674553, 0.019468309537622804, 0.018026611998484841, 0.017403557474703124, 0.017077138464149648, 0.016883828896893226, 0.016759254973278712, 0.01667387357424235, 0.016612548219042424, 0.01656685306277873, 0.016531784006610654, 0.016504210544276861, 0.016482088914935931, 0.016464036430143117, 0.016449088939847631, 0.016436556464292245, 0.016425933980371839, 0.016416844474814712, 0.016409001548843869, 0.016402184240112912, 0.016396219689641937, 0.016390970969870983, 0.016386328382774231, 0.016382203137249529, 0.016378522687124593, 0.016375227247096821, 0.016372267156676366, 0.016369600862959226, 0.016367193360674569, 0.01636501497405396, 0.016363040396969154, 0.016361247930158591, 0.016359618870253421, 0.016358137016735122, 0.016356788271255085, 0.016355560309838993, 0.016354442313015197, 0.016353424742284354, 0.016352499153896756, 0.016351658042842797, 0.016350894711448388, 0.016350203158115161, 0.016349577982638593, 0.016349014305236203, 0.01634850769697016, 0.016348054119686335, 0.016347649873942369, 0.016347291553678978, 0.016346976006617806, 0.016346700299555691, 0.016346461687879323, 0.016346257588752133, 0.016346085557532239, 0.016345943267070572, 0.016345828489615421, 0.016345739081114842, 0.016345672967764832, 0.016345628134698906, 0.016345602616754936, 0.016345594491288133, 0.016345601873024581, 0.016345622910967649, 0.016345655787379006, 0.016345698718856275, 0.016345749959519134, 0.016345807806294591, 0.016345870606258462, 0.016345936765943897, 0.016346004762468197, 0.016346073156257291, 0.016346140605063782, 0.016346205878882275, 0.016346267875268636, 0.016346325634472587, 0.016346378353703148, 0.01634642539977138, 0.016346466319303806, 0.01634650084570315, 0.016346528902059274, 0.01634655059929075, 0.01634656622893289, 0.0163465762501818, 0.016346581271055313, 0.016346582023830554, 0.016346579335250876, 0.016346574092341526, 0.016346567205008499, 0.016346559566890795, 0.016346552016164344, 0.016346545298130278, 0.016346540031441426, 0.016346536679717277, 0.016346535530069425, 0.016346536106821987, 0.016346537811391823, 0.016346540567343464, 0.016346544249360134, 0.016346548686295193, 0.016346553665322432, 0.016346558937069534, 0.016346564221593474, 0.016346569215037195, 0.016346573596792851, 0.016346577036989308, 0.016346579204120377, 0.016346579772634776, 0.016346578430319107, 0.016346574885319719, 0.016346568872668298, 0.016346560160197362, 0.016346548553755506, 0.016346533901656319, 0.016346516098319393, 0.016346495087084915, 0.01634647086220543, 0.016346443470037504, 0.016346413009473447, 0.016346379631667012, 0.016346343539118419, 0.016346304984192248, 0.016346264267146894, 0.016346221733757459, 0.016346177772613921, 0.016346132812175125, 0.016346087317655383, 0.016346041787816255, 0.016345996751729795, 0.016345952765573386, 0.016345910409509348, 0.01634587028469537, 0.016345833010464803, 0.016345799221709176, 0.016345769566488751, 0.016345744703891142, 0.016345725302152544, 0.016345712037051555, 0.016345705590581176, 0.016345706649901526, 0.016345715906572428, 0.01634573405606337, 0.016345761797536211, 0.016345799833895086, 0.016345848872097338, 0.016345909623718961, 0.016345982805768385, 0.016346069141742997, 0.016346169362923501, 0.016346284209902664, 0.016346414434346427, 0.016346560800986749, 0.016346724089848032, 0.016346905098710732, 0.016347104645818275, 0.016347323572836227, 0.016347562748075136, 0.016347823069992145, 0.016348105470989301, 0.016348410921530842, 0.016348740434605345, 0.01634909507056365, 0.016349475942368123, 0.016349884221294898, 0.016350321143136608, 0.016350788014960635, 0.016351286222485762, 0.016351817238149279, 0.016352382629947138, 0.016352984071141451, 0.01635362335094381, 0.016354302386298206, 0.016355023234906126, 0.016355788109657373, 0.016356599394655173, 0.01635745966305294, 0.016358371696954047, 0.016359338509665932, 0.016360363370646815, 0.016361449833538967, 0.016362601767748418, 0.016363823394109772, 0.016365119325268272, 0.016366494611524014, 0.0163679547930182, 0.016369505959304552, 0.016371154817546616, 0.016372908770822096, 0.016374776008308837, 0.016376765609486983, 0.016378887664935039, 0.016381153416846206, 0.016383575423073039, 0.01638616774936057, 0.016388946195498154, 0.016391928562471778, 0.01639513496941538, 0.016398588231353643, 0.016402314311550221, 0.016406342865928712, 0.016410707901796863, 0.016415448579361683, 0.01642061019280816, 0.016426245378774938, 0.016432415614959093, 0.016439193091839908, 0.016446663068332604, 0.016454926860802358, 0.016464105669092479, 0.016474345520293077, 0.016485823721974831, 0.016498757378755086, 0.016513414766572629, 0.01653013072177574, 0.016549327759164741, 0.01657154550561446, 0.016597482432385704, 0.016628056158367616, 0.016664492449291902, 0.016708459716054853, 0.016762277778271596, 0.016829251901355001, 0.016914226256206265, 0.017374943523815863, 0.018838979638388736, 0.030038791143667372, 0.038577477919735141, 0.0186386959382072, 0.017010231181253815, 0.016602547945953269, 0.016448925985054565, 0.016377554899290138, 0.016339920102801001, 0.016318336053768343, 0.016305205121674802, 0.01629686507162988, 0.016291393138689145, 0.016287710911280971, 0.016285180860585533, 0.016283409532788264, 0.016282145230528157, 0.016281221951048717, 0.016280527292359417, 0.016279983392180768, 0.016279535258367533, 0.016279143456463682, 0.016278779468405516, 0.016278422768788034, 0.016278059088004983, 0.01627767960206912, 0.016277280999043582, 0.016276866593560053, 0.016276448981061269, 0.016276055296152597, 0.016275737296240336, 0.016275591025733421, 0.016275796789926741, 0.01627670543266967, 0.016279039878351893, 0.016284417458621796, 0.016296907502853616, 0.016328704259308515, 0.016428362865421132, 0.016932776419050378, 0.031062640905262878, 0.018525695098246926, 0.016837764705177796, 0.016552368184467189, 0.016451012300985664, 0.016402055124610949, 0.016374003733641555, 0.016356073680775053, 0.016343704289743119, 0.016334675782243801, 0.016327793219361109, 0.016322362692351246, 0.016317956742279031, 0.016314299334955391, 0.016311205242560224, 0.016308546162827744, 0.016306230832545059, 0.016304192861536476, 0.016302383020636788, 0.016300764199935754, 0.016299308022397593, 0.016297992514330797, 0.016296800468423578, 0.01629571827133449, 0.016294735049509478, 0.016293842037178909, 0.016293032102194838, 0.01629229938580087, 0.016291639025856761, 0.016291046942028133, 0.016290519667567203, 0.016290054216536745, 0.016289647978290189, 0.016289298633124033, 0.016289004084530451, 0.016288762404577561, 0.016288571789753778, 0.016288430525213785, 0.016288336955815167, 0.01628828946267722, 0.016288286444255663, 0.016288326301129467, 0.016288407423854713, 0.016288528183364064, 0.016288686923489962, 0.01628888195526838, 0.016289111552743742, 0.016289373950047627, 0.016289667339565977, 0.016289989871044311, 0.016290339651509098, 0.016290714745906917, 0.016291113178382527, 0.016291532934132803, 0.016291971961786708, 0.016292428176271617, 0.01629289946213484, 0.016293383677295423, 0.01629387865720594, 0.016294382219407221, 0.016294892168460553, 0.016295406301242765, 0.016295922412588905, 0.016296438301265946, 0.016296951776258586, 0.016297460663345475, 0.016297962811940632, 0.016298456102170705, 0.01629893845215491, 0.016299407825449502, 0.016299862238614685, 0.016300299768857145, 0.016300718561697403, 0.016301116838607403, 0.01630149290456042, 0.016301845155432808, 0.016302172085195313, 0.016302472292830227, 0.016302744488911093, 0.01630298750178201, 0.016303200283275761, 0.016303381913912816, 0.016303531607527056, 0.016303648715269244, 0.016303732728944809, 0.016303783283649328, 0.016303800159672553, 0.016303788907935719, 0.016303755188998733, 0.016303699111571535, 0.016303620856469955, 0.016303520676067086, 0.016303398893530861, 0.016303255901852776, 0.016303092162674764, 0.016302908204922049, 0.01630270462325124, 0.016302482076324072, 0.016302241284917862, 0.016301983029884899, 0.016301708149973337, 0.01630141753952271, 0.016301112146047795, 0.01630079296772402, 0.016300461050788372, 0.016300117486868913, 0.016299763410255973, 0.016299399995127348, 0.01629902845273928, 0.016298650028594101, 0.016298265999594164, 0.01629787767119089, 0.016297486374536332, 0.016297093463643091, 0.016296700312557245, 0.01629630831254698, 0.016295918869308378, 0.016295533400187516, 0.016295153331416762, 0.016294780095360839, 0.016294415127766589, 0.016294059865008533, 0.016293715741319909, 0.016293384185997691, 0.016293066620567516, 0.016292764455893137, 0.016292479089212979, 0.016292211901084781, 0.016291964252217992, 0.016291737480172003, 0.016291532895897382, 0.016291351780096473, 0.016291195379379161, 0.016291064902189612, 0.016290961514480298, 0.016290886335110472, 0.01629084043094825, 0.016290824811657643, 0.016290840424155659, 0.016290888146728674, 0.016290968782803446, 0.016291083054374329, 0.016291231595097502, 0.016291414943072027, 0.016291633533339726, 0.016291887690148568, 0.0162921776190392, 0.016292503398830656, 0.016292864973599084, 0.016293262144762153, 0.016293694563401975, 0.016294161722979237, 0.016294662952611283, 0.016295197411105626, 0.016295764081957095, 0.016296361769530442, 0.01629698909665963, 0.016297644503898548, 0.016298326250654933, 0.016299032418427787, 0.016299760916348223, 0.016300509489193094, 0.016301275727999599, 0.016302057083357673, 0.016302850881395384, 0.01630365434240235, 0.016304464601959126, 0.01630527873435926, 0.016306093778028271, 0.016306906762563751, 0.01630771473694766, 0.016308514798418442, 0.016309304121442308, 0.016310079986191144, 0.016310839805923939, 0.016311581152678341, 0.016312301780711677, 0.016312999647184294, 0.016313672929650448, 0.016314320040010866, 0.016314939634681589, 0.01631553062084156, 0.016316092158731716, 0.016316623660085565, 0.016317124782872068, 0.016317595422620079, 0.016318035700668507, 0.016318445949744523, 0.016318826697311984, 0.016319178647154885, 0.016319502659665617, 0.016319799731297165, 0.016320070973614233, 0.01632031759234288, 0.016320540866774483, 0.01632074212983033, 0.016320922749040342, 0.016321084108636225, 0.01632122759290686, 0.016321354570914642, 0.016321466382626316, 0.016321564326471853, 0.01632164964831084, 0.016321723531757159, 0.016321787089790679, 0.016321841357567972, 0.016321887286332645, 0.016321925738319927, 0.01632195748254802, 0.016321983191391026, 0.016322003437833354, 0.016322018693314105, 0.01632202932608005, 0.016322035599978576, 0.016322037673635617], [0.017356145266922095, 0.017356130678535839, 0.017356086951383489, 0.017356014199342403, 0.017355912611736576, 0.017355782452634669, 0.017355624059878259, 0.01735543784385081, 0.017355224286001017, 0.017354983937136952, 0.01735471741550931, 0.017354425404705213, 0.017354108651375363, 0.017353767962819514, 0.017353404204456503, 0.017353018297206788, 0.01735261121481602, 0.017352183981149179, 0.01735173766748542, 0.017351273389843887, 0.017350792306371064, 0.017350295614820006, 0.017349784550151771, 0.017349260382288775, 0.01734872441404953, 0.017348177979293691, 0.017347622441305447, 0.017347059191443269, 0.017346489648082712, 0.017345915255878815, 0.017345337485373851, 0.017344757832975559, 0.017344177821330301, 0.017343599000115093, 0.017343022947271611, 0.017342451270704204, 0.017341885610463362, 0.017341327641434028, 0.01734077907654662, 0.017340241670526026, 0.017339717224189973, 0.017339207589303886, 0.017338714673992714, 0.017338240448701841, 0.017337786952688485, 0.017337356301010205, 0.017336950691959424, 0.017336572414868957, 0.017336223858184369, 0.017335907517662147, 0.017335626004506926, 0.017335382053205381, 0.017335178528746661, 0.0173350184328382, 0.017334904908630225, 0.017334841243350742, 0.017334830868125733, 0.017334877354117501, 0.01733498440395961, 0.017335155837306666, 0.017335395569157919, 0.017335707579470682, 0.017336095872470227, 0.0173365644240141, 0.017337117115412755, 0.017337757652286907, 0.017338489467400787, 0.017339315607000735, 0.017340238601058152, 0.017341260319000407, 0.017342381814028498, 0.01734360316093847, 0.017344923294406081, 0.017346339856809022, 0.017347849066618105, 0.017349445619882675, 0.017351122638008181, 0.017352871674509392, 0.017354682791418462, 0.017356544712372822, 0.017358445054171771, 0.017360370632122795, 0.017362307827441154, 0.017364242998189668, 0.017366162909723686, 0.017368055157231051, 0.017369908552355443, 0.017371713448274931, 0.017373461982706857, 0.017375148225424235, 0.017376768224998302, 0.017378319957534725, 0.017379803187166535, 0.01738121925329577, 0.017382570802689956, 0.017383861485547492, 0.017385095633849431, 0.017386277938200363, 0.017387413136485383, 0.01738850572456354, 0.017389559696318869, 0.017390578318010025, 0.017391563940178868, 0.017392517849460918, 0.017393440162449255, 0.017394329764188966, 0.017395184294745486, 0.017396000188371282, 0.017396772770809334, 0.017397496420883611, 0.01739816480234414, 0.017398771170523623, 0.017399308755274429, 0.0173997712164904, 0.017400153161024733, 0.017400450700026569, 0.017400662014122301, 0.017400787881567455, 0.017400832113316812, 0.017400801831429346, 0.017400707526307704, 0.017400562836864288, 0.017400384017823265, 0.017400189090216629, 0.017399996712274456, 0.017399824852913158, 0.017399689390921295, 0.017399602790657904, 0.017399573011664275, 0.017399574663207251, 0.017399579497335275, 0.017399587158210911, 0.017399597071322871, 0.017399608470175063, 0.017399620431472206, 0.017399631916837011, 0.017399641818811006, 0.017399649008775997, 0.017399652384481722, 0.017399650915061855, 0.017399643681735452, 0.017399629912788525, 0.017399609011871788, 0.01739958057909816, 0.017399544424845221, 0.017399500576537583, 0.017399449278985908, 0.017399390989083423, 0.017399326365806846, 0.017399256256541578, 0.017399181680759199, 0.017399103812032475, 0.017399023959290331, 0.017398943548106973, 0.017398864102696459, 0.017398787229156755, 0.017398714600383777, 0.017398647942961462, 0.01739858902623348, 0.017398539653676787, 0.017398501656628998, 0.017398476890369448, 0.017398467232517499, 0.01739847458368966, 0.017398500870347767, 0.01739854804977254, 0.017398618117108449, 0.017398713114446171, 0.017398835141936471, 0.01739898637096407, 0.017399169059451106, 0.01739938556940733, 0.017399638386899386, 0.017399930144674232, 0.017400263647744239, 0.017400641902325972, 0.017401068148622852, 0.017401545898058819, 0.017402078975708977, 0.017402671568841566, 0.017403328282689524, 0.017404054204820715, 0.017404854979785896, 0.017405736896109379, 0.017406706988171837, 0.017407773156145969, 0.017408944307923883, 0.017410230527970416, 0.017411643279320807, 0.017413195646608579, 0.017414902630191176, 0.017416781504319169, 0.017418852256121657, 0.017421138127315491, 0.017423666287499674, 0.017426468677405924, 0.017429583073621763, 0.017433054444676726, 0.017436936694379995, 0.017441294925562435, 0.017446208411542024, 0.017451774542566689, 0.017458114134400064, 0.017465378669335781, 0.01747376032507238, 0.017483506100488957, 0.01749493808613703, 0.017508483162255856, 0.017524717532419957, 0.01754443527931571, 0.017568757097738818, 0.017599308761191243, 0.017638525919635335, 0.017690199526004764, 0.017760507688089046, 0.017860104013853947, 0.018008712995601861, 0.018246380216700338, 0.01866518439024643, 0.019517943815323235, 0.021716066030120482, 0.030389127566658021, 0.066508268154017627, 0.029807619068236275, 0.020889995113898344, 0.018862804671497289, 0.018142714291789479, 0.017815849176982534, 0.01764365056057704, 0.01754346976748895, 0.01748092696042463, 0.0174397749463167, 0.017411578101352156, 0.017391628273511889, 0.0173771428001619, 0.017366398761490896, 0.017358287537255764, 0.017352072324078479, 0.017347249753140684, 0.017343467681663734, 0.017340474638545524, 0.017338087787679358, 0.017336172084086394, 0.017334626393149526, 0.017333374053949718, 0.017332356344786751, 0.017331527883617002, 0.017330853343120955, 0.017330305074671797, 0.017329861371064386, 0.017329505185279696, 0.017329223179985018, 0.017329005020879529, 0.017328842853151775, 0.017328730918476139, 0.017328665282868687, 0.017328643655143344, 0.01732866528286868, 0.017328730918476132, 0.017328842853151779, 0.017329005020879529, 0.017329223179985018, 0.017329505185279696, 0.01732986137106439, 0.017330305074671801, 0.017330853343120949, 0.017331527883617005, 0.017332356344786744, 0.017333374053949722, 0.017334626393149526, 0.017336172084086391, 0.017338087787679347, 0.01734047463854552, 0.017343467681663741, 0.017347249753140687, 0.017352072324078475, 0.017358287537255764, 0.017366398761490907, 0.017377142800161907, 0.017391628273511896, 0.017411578101352149, 0.017439774946316718, 0.017480926960424654, 0.017543469767488998, 0.017643650560577047, 0.017815849176982555, 0.018142714291789548, 0.018862804671497379, 0.020889995113896841, 0.029807619068241007, 0.066508268154019584, 0.030389127566657754, 0.02171606603012393, 0.019517943815323385, 0.018665184390246389, 0.018246380216700331, 0.018008712995601986, 0.017860104013854058, 0.017760507688089053, 0.017690199526004764, 0.017638525919635321, 0.017599308761191267, 0.017568757097738839, 0.017544435279315714, 0.017524717532419964, 0.017508483162255863, 0.017494938086137043, 0.01748350610048896, 0.017473760325072394, 0.017465378669335785, 0.017458114134400075, 0.017451774542566682, 0.017446208411542024, 0.017441294925562435, 0.017436936694379998, 0.017433054444676729, 0.01742958307362177, 0.01742646867740592, 0.017423666287499674, 0.017421138127315491, 0.01741885225612165, 0.017416781504319176, 0.017414902630191173, 0.017413195646608582, 0.01741164327932081, 0.017410230527970416, 0.017408944307923887, 0.017407773156145969, 0.017406706988171834, 0.017405736896109379, 0.017404854979785899, 0.017404054204820715, 0.017403328282689527, 0.017402671568841566, 0.01740207897570898, 0.017401545898058823, 0.017401068148622856, 0.017400641902325972, 0.017400263647744236, 0.017399930144674228, 0.017399638386899386, 0.017399385569407334, 0.017399169059451106, 0.01739898637096407, 0.017398835141936467, 0.017398713114446171, 0.017398618117108449, 0.017398548049772537, 0.017398500870347767, 0.01739847458368966, 0.017398467232517503, 0.017398476890369448, 0.017398501656628998, 0.017398539653676784, 0.017398589026233476, 0.017398647942961462, 0.017398714600383777, 0.017398787229156755, 0.017398864102696456, 0.017398943548106977, 0.017399023959290327, 0.017399103812032472, 0.017399181680759199, 0.017399256256541575, 0.017399326365806843, 0.01739939098908342, 0.017399449278985912, 0.017399500576537583, 0.017399544424845224, 0.017399580579098163, 0.017399609011871785, 0.017399629912788522, 0.017399643681735449, 0.017399650915061862, 0.017399652384481722, 0.017399649008775993, 0.017399641818811006, 0.017399631916837011, 0.017399620431472206, 0.017399608470175063, 0.017399597071322871, 0.017399587158210911, 0.017399579497335275, 0.017399574663207247, 0.017399573011664279, 0.017399573839814074, 0.017399576292276057, 0.017399580273869175, 0.017399585628538786, 0.017399592143146885, 0.017399599552620621, 0.017399607546309644, 0.017399615775370171, 0.01739962386096932, 0.017399631403086164, 0.017399637989677516, 0.017399643205976145, 0.017399646643696771, 0.017399647909939829, 0.017399646635603346, 0.017399642483139011, 0.017399635153516994, 0.017399624392295018, 0.017399609994718741, 0.017399591809811484, 0.017399569743440646, 0.017399543760375488, 0.017399513885374279, 0.017399480203359484, 0.017399442858755759, 0.017399402054077938, 0.017399358047865202, 0.01739931115206186, 0.017399261728947769, 0.017399210187719436, 0.017399156980820049, 0.017399102600110353, 0.017399047572965967, 0.01739899245837816, 0.017398937843126419, 0.017398884338082347, 0.017398832574694954, 0.017398783201698843, 0.017398736882078346, 0.017398694290312915, 0.017398656109922087, 0.017398623031321832, 0.0173985957499991, 0.017398574965006262, 0.01739856137777368, 0.01739855569123544, 0.017398558609260935, 0.017398570836383472, 0.017398593077815831, 0.017398626039742349, 0.01739867042987708, 0.017398726958277863, 0.017398796338407123, 0.017398879288431163, 0.017398976532751256, 0.017399088803761412, 0.017399216843829605, 0.017399361407501427, 0.017399523263927252, 0.017399703199516607, 0.017399902020826169, 0.01740012055769033, 0.017400359666606854, 0.017400620234393035, 0.017400903182131614, 0.017401209469429399, 0.017401540099016111, 0.017401896121715343, 0.017402278641824868, 0.017402688822949364, 0.017403127894334985, 0.017403597157762456, 0.017404097995063796, 0.017404631876336906, 0.017405200368942976, 0.017405805147384094, 0.017406448004172122, 0.017407130861816521, 0.017407855786077387, 0.017408625000651854, 0.017409440903487481, 0.017410306084945995, 0.017411223348075742, 0.017412195731292116, 0.017413226533813907, 0.017414319344260486, 0.017415478072883347, 0.017416706987986044, 0.017418010757183827, 0.017419394494270359, 0.017420863812598796, 0.017422424886052994, 0.017424084518889903, 0.017425850225982795, 0.017427730325299623, 0.017429734044824428, 0.017431871646590148, 0.017434154571061289, 0.017436595605814991, 0.017439209083355847, 0.017442011114015991, 0.017445019861302254, 0.017448255868845797, 0.017451742450404022, 0.0174555061573189, 0.017459577341665377, 0.017463990838322768, 0.017468786795778551, 0.017474011694192413, 0.017479719600906284, 0.01748597372931272, 0.017492848388412228, 0.017500431439856728, 0.017508827420254454, 0.01751816154416189, 0.017528584885302154, 0.017540281152076918, 0.017553475646999852, 0.017568447257798946, 0.01758554471832828, 0.017605208978791691, 0.017628004469857683, 0.017654663563472686, 0.017686151031947778, 0.017723759531344647, 0.017769254493941157, 0.017825100070444765, 0.017894822563902762, 0.018254716874138346, 0.019264680234572121, 0.02467931287088064, 0.074713577285377003, 0.021114934372087783, 0.018319206666503652, 0.017741466822780726, 0.017540967028539856, 0.017451851490220341, 0.017406079892857862, 0.017380248407596919, 0.017364681555778305, 0.01735484037268701, 0.017348389030232565, 0.017344037226471591, 0.017341031113860962, 0.017338909746164914, 0.017337380412473673, 0.017336251192852814, 0.017335392750848368, 0.017334715837817604, 0.017334157619107782, 0.017333673155076185, 0.017333230017054092, 0.017332804903216342, 0.017332381624569931, 0.017331950150316883, 0.017331506646024553, 0.017331054692435805, 0.017330608239325862, 0.017330197507716028, 0.017329880396161991, 0.017329764920163238, 0.017330055317130052, 0.017331152898421659, 0.017333895724780484, 0.017340194089289454, 0.017354986444359892, 0.017393706768412232, 0.01752252661674375, 0.01828652895365827, 0.047037379153038301, 0.018898676690642432, 0.017808449428443604, 0.017580755785879532, 0.017493579808290152, 0.017449797121963331, 0.017424098522749759, 0.017407398319120849, 0.017395735954783012, 0.017387142391043792, 0.017380540885751267, 0.017375298567361145, 0.017371021831939622, 0.01736745453614108, 0.017364423705714099, 0.017361808892706842, 0.017359524041036262, 0.017357506314214746, 0.01735570897017313, 0.017354096678413623, 0.017352642359968511, 0.017351325004530078, 0.017350128130841636, 0.017349038680333526, 0.017348046208634678, 0.017347142285756019, 0.017346320044975966, 0.017345573839368092, 0.017344898977383987, 0.01734429151727836, 0.017343748105878097, 0.017343265851156371, 0.017342842220854356, 0.017342474961372853, 0.017342162032582854, 0.017341901555243667, 0.017341691768483807, 0.017341530995370349, 0.017341417615022121, 0.017341350040048307, 0.017341326698344425, 0.017341346018471506, 0.017341406417996027, 0.017341506294287448, 0.017341644017365345, 0.017341817924464559, 0.017342026316047976, 0.017342267453047119, 0.017342539555151339, 0.017342840800000318, 0.017343169323162353, 0.017343523218803718, 0.017343900540973452, 0.017344299305443445, 0.017344717492056183, 0.017345153047543038, 0.017345603888783732, 0.017346067906484002, 0.017346542969252816, 0.017347026928063714, 0.017347517621086224, 0.017348012878874244, 0.017348510529897346, 0.017349008406399608, 0.017349504350568312, 0.01734999622099196, 0.017350481899383173, 0.017350959297538382, 0.017351426364501814, 0.017351881093896539, 0.017352321531381224, 0.017352745782186384, 0.017353152018679974, 0.017353538487908219, 0.017353903519054172, 0.017354245530753921, 0.017354563038208391, 0.017354854660027251, 0.017355119124741782, 0.017355355276923803, 0.017355562082850037, 0.017355738635653716, 0.017355884159909546, 0.017355998015602801, 0.017356079701439056, 0.017356128857458027, 0.017356145266922095, 0.01735613432623842, 0.017356101539964131, 0.01735604701531979, 0.017355970930641996, 0.017355873534839392, 0.017355755146636682, 0.017355616153611586, 0.017355457011031777, 0.017355278240499469, 0.017355080428413081, 0.01735486422425609, 0.017354630338724263, 0.01735437954170338, 0.017354112660109878, 0.017353830575607597, 0.017353534222214025, 0.017353224583809352, 0.01735290269156211, 0.017352569621284231, 0.017352226490728626, 0.017351874456841433, 0.017351514712980413, 0.017351148486110326, 0.017350777033984688, 0.017350401642322516, 0.017350023621987287, 0.017349644306173723, 0.017349265047606879, 0.017348887215755962, 0.017348512194064192, 0.0173481413771936, 0.017347776168282477, 0.017347417976210873, 0.017347068212867956, 0.017346728290413053, 0.017346399618520053, 0.017346083601593568, 0.017345781635942779, 0.017345495106897414, 0.017345225385848671, 0.017344973827196099, 0.017344741765180256, 0.017344530510579517, 0.017344341347248486, 0.017344175528474809, 0.017344034273130741, 0.017343918761595776, 0.017343830131427589, 0.017343769472759125, 0.01734373782340207, 0.017343736163639149, 0.017343765410691603, 0.017343826412852523, 0.017343919943282653, 0.017344046693472247, 0.017344207266381122, 0.017344402169278753, 0.01734463180631815, 0.017344896470890093, 0.017345196337819137, 0.017345531455479134, 0.017345901737923646, 0.017346306957145185, 0.017346746735597097, 0.017347220539131198, 0.017347727670523904, 0.017348267263781636, 0.017348838279432125, 0.017349439501021205, 0.0173500695330428, 0.017350726800532647, 0.017351409550551915, 0.017352115855774466, 0.017352843620370133, 0.017353590588344639, 0.017354354354455086, 0.017355132377767767, 0.017355921997863358, 0.017356720453624311, 0.017357524904462671, 0.017358332453766483, 0.017359140174261618, 0.017359945134907705, 0.017360744428876432, 0.017361535202098929, 0.017362314681824371, 0.017363080204602348, 0.01736382924309442, 0.017364559431132645, 0.017365268586477932, 0.01736595473078674, 0.017366616106368291, 0.017367251189404066, 0.017367858699401936, 0.017368437604764149, 0.017368987124457572, 0.017369506725879672, 0.017369996119112049, 0.017370455247839117, 0.017370884277281597, 0.017371283579549254, 0.017371653716854916, 0.017371995423051428, 0.01737230958395599, 0.017372597216914011, 0.017372859450028866, 0.01737309750144771, 0.017373312659049098, 0.017373506260828703, 0.017373679676226706, 0.01737383428858779, 0.017373971478892976, 0.017374092610854215, 0.017374199017418674, 0.017374291988690449, 0.017374372761244539, 0.017374442508780154, 0.017374502334039355, 0.017374553261900849, 0.017374596233548464, 0.017374632101608018, 0.017374661626144983, 0.01737468547141768, 0.017374704203286486, 0.017374718287187726, 0.017374728086591743, 0.017374733861876778, 0.017374735769564401], [0.018458273991153448, 0.018458260120272307, 0.018458218544561023, 0.018458149374677338, 0.018458052794590053, 0.018457929060893323, 0.018457778501857598, 0.018457601516227606, 0.018457398571781088, 0.018457170203664414, 0.018456917012523423, 0.018456639662450716, 0.01845633887877195, 0.018456015445696049, 0.018455670203855204, 0.018455304047762387, 0.018454917923214631, 0.018454512824671244, 0.018454089792636755, 0.01845364991107842, 0.018453194304908514, 0.018452724137561109, 0.018452240608693393, 0.018451744952040428, 0.018451238433452536, 0.018450722349143283, 0.018450198024175815, 0.018449666811214478, 0.018449130089567927, 0.018448589264549398, 0.018448045767179032, 0.018447501054252382, 0.018446956608798741, 0.018446413940951957, 0.01844587458925576, 0.01844534012242437, 0.018444812141578237, 0.018444292282972875, 0.018443782221236837, 0.018443283673131899, 0.018442798401845008, 0.018442328221816115, 0.018441875004099897, 0.018441440682250055, 0.018441027258704192, 0.018440636811631748, 0.018440271502189583, 0.018439933582105449, 0.018439625401479764, 0.018439349416659385, 0.018439108197990745, 0.0184389044372043, 0.01843874095411465, 0.018438620702240508, 0.018438546772854111, 0.018438522396860422, 0.018438550943782144, 0.018438635916988876, 0.018438780944160207, 0.018438989761819354, 0.018439266192624492, 0.018439614113973601, 0.018440037416383444, 0.018440539950070663, 0.018441125458225197, 0.018441797495662712, 0.018442559331919437, 0.01844341383845664, 0.018444363360518756, 0.018445409575369911, 0.018446553340129304, 0.018447794534204334, 0.018449131903299346, 0.018450562914003148, 0.01845208362980243, 0.018453688620731986, 0.01845537091941046, 0.018457122035575573, 0.018458932039144182, 0.018460789718144268, 0.018462682812685434, 0.018464598319810455, 0.018466522857241461, 0.01846844306754734, 0.018470346039051434, 0.018472219716713811, 0.018474053275841566, 0.018475837433975441, 0.018477564681386064, 0.018479229417589896, 0.018480827989190946, 0.018482358632118067, 0.01848382132802364, 0.01848521758957028, 0.018486550192239451, 0.018487822871173308, 0.018489040000711294, 0.018490206272184135, 0.018491326382721416, 0.018492404744830594, 0.018493445223741609, 0.018494450907287078, 0.018495423911584277, 0.018496365225070442, 0.018497274593490532, 0.018498150449147231, 0.01849898988892909, 0.018499788707110859, 0.018500541490374802, 0.018501241783567129, 0.018501882334925862, 0.01850245542836387, 0.018502953307277577, 0.018503368688703364, 0.018503695358013755, 0.018503928822591328, 0.018504066988428332, 0.018504110807541881, 0.018504064828613723, 0.018503937571529849, 0.018503741642465845, 0.01850349351395859, 0.018503212917253577, 0.018502921833127465, 0.018502643119853238, 0.018502398876272856, 0.018502208693518759, 0.018502087988253823, 0.018502046621975743, 0.018502049123839921, 0.018502056477291716, 0.018502068233099304, 0.018502083666069234, 0.018502101808828702, 0.018502121496240104, 0.018502141417863632, 0.018502160175529771, 0.018502176342957095, 0.018502188524445524, 0.018502195409964544, 0.01850219582439722, 0.018502188769243672, 0.018502173455677031, 0.018502149328430358, 0.018502116080533138, 0.018502073659376478, 0.018502022264950704, 0.018501962341356135, 0.018501894562841879, 0.018501819815686302, 0.018501739177212592, 0.018501653893149575, 0.018501565354421181, 0.018501475074293661, 0.018501384666643431, 0.018501295825942309, 0.018501210309400305, 0.01850112992156501, 0.018501056501555983, 0.018500991913012434, 0.018500938036755333, 0.018500896766107573, 0.018500870004778035, 0.018500859667193947, 0.01850086768115921, 0.01850089599272162, 0.018500946573147877, 0.018501021427928692, 0.018501122607768108, 0.018501252221548047, 0.018501412451302213, 0.018501605569282015, 0.018501833957251457, 0.018502100128209159, 0.018502406750804411, 0.018502756676793394, 0.018503152971972133, 0.018503598951129741, 0.018504098217691028, 0.01850465470886872, 0.018505272747327287, 0.01850595710058342, 0.018506713049641708, 0.018507546468703645, 0.018508463918212835, 0.018509472754032977, 0.018510581256231624, 0.018511798781805734, 0.018513135946792589, 0.018514604844642957, 0.018516219309599721, 0.018517995236276372, 0.018519950969872644, 0.018522107785793242, 0.018524490483264995, 0.01852712812547248, 0.018530054969617332, 0.018533311645418007, 0.018536946661792925, 0.018541018351655478, 0.018545597408255232, 0.018550770230113943, 0.018556643386084225, 0.018563349654775938, 0.018571056312192392, 0.018579976686200258, 0.018590386549919364, 0.01860264783657781, 0.018617243697332565, 0.018634831604923977, 0.018656326039773692, 0.018683031351779445, 0.018716863124620356, 0.018760732905460809, 0.018819251047034403, 0.018900089816255149, 0.019016827548138781, 0.01919545185292406, 0.019491094176628646, 0.020038502216652543, 0.021242721039611251, 0.024792418306834894, 0.042142910806282602, 0.053261986455158825, 0.025674230680748283, 0.020961888443089431, 0.019637219318110678, 0.019109455834369529, 0.018852989114814939, 0.01871165543011968, 0.018626750592350746, 0.018572447663675398, 0.018536031312373746, 0.01851068972474032, 0.018492525647936065, 0.018479188786203429, 0.01846919933452091, 0.018461591504945869, 0.018455715554417711, 0.01845112286494326, 0.018447496664307166, 0.01844460887404557, 0.018442292454095427, 0.018440423229103296, 0.018438907677834043, 0.018437674565946471, 0.01843666911118054, 0.018435848850936236, 0.018435180675540501, 0.018434638673551117, 0.018434202552123271, 0.018433856471312779, 0.018433588181430826, 0.018433388386471832, 0.018433250279975666, 0.018433169216121252, 0.018433142490764328, 0.018433169216121249, 0.018433250279975666, 0.018433388386471832, 0.018433588181430826, 0.018433856471312786, 0.018434202552123267, 0.018434638673551117, 0.018435180675540501, 0.018435848850936229, 0.01843666911118054, 0.018437674565946468, 0.018438907677834043, 0.018440423229103296, 0.018442292454095427, 0.018444608874045566, 0.018447496664307166, 0.018451122864943267, 0.018455715554417707, 0.018461591504945869, 0.018469199334520917, 0.018479188786203433, 0.018492525647936069, 0.018510689724740324, 0.018536031312373739, 0.018572447663675419, 0.01862675059235078, 0.018711655430119756, 0.01885298911481495, 0.019109455834369554, 0.019637219318110809, 0.02096188844308973, 0.025674230680743912, 0.053261986455171703, 0.04214291080629301, 0.024792418306835051, 0.021242721039613003, 0.02003850221665264, 0.019491094176628615, 0.019195451852924064, 0.019016827548138882, 0.018900089816255225, 0.018819251047034413, 0.018760732905460809, 0.018716863124620339, 0.018683031351779469, 0.018656326039773703, 0.01863483160492398, 0.018617243697332583, 0.01860264783657781, 0.018590386549919378, 0.018579976686200268, 0.018571056312192403, 0.018563349654775938, 0.018556643386084228, 0.018550770230113936, 0.018545597408255236, 0.018541018351655475, 0.018536946661792925, 0.018533311645418004, 0.018530054969617338, 0.018527128125472483, 0.018524490483264992, 0.018522107785793239, 0.018519950969872641, 0.018517995236276376, 0.018516219309599721, 0.01851460484464296, 0.018513135946792596, 0.018511798781805734, 0.018510581256231621, 0.018509472754032974, 0.018508463918212835, 0.018507546468703635, 0.018506713049641708, 0.01850595710058342, 0.018505272747327283, 0.018504654708868723, 0.018504098217691028, 0.018503598951129727, 0.01850315297197214, 0.018502756676793401, 0.018502406750804407, 0.018502100128209152, 0.018501833957251457, 0.018501605569282011, 0.018501412451302213, 0.018501252221548047, 0.018501122607768112, 0.018501021427928695, 0.018500946573147881, 0.018500895992721627, 0.01850086768115921, 0.018500859667193951, 0.018500870004778031, 0.018500896766107569, 0.018500938036755329, 0.018500991913012438, 0.018501056501555983, 0.01850112992156501, 0.018501210309400301, 0.018501295825942315, 0.018501384666643438, 0.018501475074293665, 0.018501565354421181, 0.018501653893149575, 0.018501739177212588, 0.018501819815686299, 0.018501894562841872, 0.018501962341356131, 0.018502022264950704, 0.018502073659376481, 0.018502116080533142, 0.018502149328430358, 0.018502173455677024, 0.018502188769243678, 0.018502195824397213, 0.018502195409964544, 0.018502188524445524, 0.018502176342957088, 0.018502160175529778, 0.018502141417863632, 0.018502121496240101, 0.018502101808828702, 0.018502083666069237, 0.0185020682330993, 0.018502056477291719, 0.018502049123839921, 0.018502046621975746, 0.018502047875897369, 0.018502051597114703, 0.018502057664974585, 0.018502065881655684, 0.018502075976962951, 0.018502087614831707, 0.018502100401344181, 0.018502113894019651, 0.018502127612107878, 0.018502141047594855, 0.018502153676620413, 0.018502164971008827, 0.018502174409625993, 0.018502181489297796, 0.018502185735053245, 0.018502186709491199, 0.018502184021108033, 0.018502177331465204, 0.018502166361116516, 0.018502150894255602, 0.018502130782081315, 0.018502105944912518, 0.018502076373113081, 0.018502042126911752, 0.018502003335220864, 0.018501960193570775, 0.018501912961286528, 0.018501861958035958, 0.01850180755987961, 0.018501750194948437, 0.018501690338869194, 0.018501628510048582, 0.018501565264917353, 0.018501501193223784, 0.018501436913454621, 0.018501373068449393, 0.018501310321262579, 0.018501249351316796, 0.018501190850880245, 0.018501135521891945, 0.018501084073150167, 0.01850103721787202, 0.018500995671626306, 0.018500960150636139, 0.018500931370444097, 0.018500910044929413, 0.018500896885664191, 0.018500892601594335, 0.018500897899029919, 0.018500913481929507, 0.01850094005246317, 0.018500978311839708, 0.018501028961384818, 0.018501092703858121, 0.018501170244998904, 0.018501262295292292, 0.018501369571949654, 0.018501492801099438, 0.018501632720186872, 0.018501790080583915, 0.018501965650413229, 0.018502160217592992, 0.018502374593112419, 0.018502609614551118, 0.01850286614985866, 0.018503145101414764, 0.018503447410394211, 0.018503774061465146, 0.018504126087853987, 0.018504504576815798, 0.018504910675554372, 0.018505345597643236, 0.018505810630006007, 0.01850630714052284, 0.018506836586339226, 0.018507400522964564, 0.018508000614259609, 0.018508638643427392, 0.018509316525137522, 0.018510036318933987, 0.018510800244098312, 0.018511610696166216, 0.018512470265326385, 0.01851338175696568, 0.018514348214667357, 0.018515372946018432, 0.01851645955164144, 0.018517611957935588, 0.018518834454096085, 0.018520131734079792, 0.018521508944305397, 0.018522971738020293, 0.018524526337440842, 0.018526179604983751, 0.018527939125164348, 0.018529813299051928, 0.018531811453559713, 0.01853394396832387, 0.018536222423517826, 0.018538659772685057, 0.018541270545595408, 0.018544071087291725, 0.018547079840961916, 0.018550317684142295, 0.018553808330153257, 0.01855757880975618, 0.018561660052028549, 0.0185660875886932, 0.018570902413039325, 0.018576152033735568, 0.018581891776107185, 0.018588186400029908, 0.018595112126214612, 0.01860275919383499, 0.018611235115893934, 0.018620668859968919, 0.018631216269403405, 0.018643067166506787, 0.018656454765022264, 0.018671668296048539, 0.018689070171671641, 0.018709119659717614, 0.018732406066776269, 0.01875969607752016, 0.018792002626818415, 0.018830687315322447, 0.018877616493289961, 0.018935405838291022, 0.019221744519579548, 0.019949719650980129, 0.022990637014608625, 0.071200957798795636, 0.025159470849937686, 0.019816690098451776, 0.018964570361472387, 0.01869680698008739, 0.018583609293712992, 0.018527087348315496, 0.018495702885136217, 0.018476952023186992, 0.018465135580238216, 0.01845738092959421, 0.018452125478889112, 0.018448466831612227, 0.01844585806276991, 0.018443954199262688, 0.018442530220147461, 0.018441435083598013, 0.018440564887990691, 0.018439846670691873, 0.018439228370341162, 0.018438672509454541, 0.018438152233489193, 0.018437648952200313, 0.01843715120945395, 0.0184366546946764, 0.018436163604687139, 0.018435693989183741, 0.018435280479444885, 0.018434989373862096, 0.018434944577674726, 0.018435381424021319, 0.018436765921092779, 0.018440083003407683, 0.018447618731970126, 0.018465448579125961, 0.018513430312823716, 0.01868407073540115, 0.019920202030249072, 0.036845029039985072, 0.019596193296482285, 0.018846891635107745, 0.018662326805683228, 0.01858695146685721, 0.018547759661910655, 0.018524248591678154, 0.018508737070969047, 0.018497782281089586, 0.018489638649283668, 0.018483337612614205, 0.018478303452421123, 0.018474174912134753, 0.018470715203908198, 0.01846776347853368, 0.018465207180845489, 0.018462965562443555, 0.018460979456932255, 0.018459204721780142, 0.018457607906688378, 0.018456163317758862, 0.01845485098163754, 0.018453655204633507, 0.018452563534098118, 0.018451565997333372, 0.018450654535531033, 0.018449822577092774, 0.01844906471211246, 0.018448376441335696, 0.018447753980679257, 0.018447194107708467, 0.018446694040162137, 0.018446251339214688, 0.018445863832019595, 0.018445529549417399, 0.018445246675669276, 0.018445013507799767, 0.018444828422670503, 0.018444689850313407, 0.01844459625236073, 0.018444546104646999, 0.018444537883242195, 0.018444570053320168, 0.018444641060379716, 0.018444749323427212, 0.01844489322980233, 0.018445071131387464, 0.01844528134198975, 0.018445522135723813, 0.018445791746255935, 0.018446088366797207, 0.018446410150755151, 0.018446755212971871, 0.018447121631491536, 0.018447507449812477, 0.018447910679588928, 0.018448329303755354, 0.018448761280052087, 0.018449204544935562, 0.018449657017859146, 0.018450116605912264, 0.018450581208805935, 0.018451048724192252, 0.018451517053303765, 0.018451984106896503, 0.018452447811477309, 0.018452906115792665, 0.018453356997552094, 0.018453798470355057, 0.01845422859078558, 0.01845464546563445, 0.018455047259204396, 0.018455432200649123, 0.018455798591293766, 0.018456144811880317, 0.018456469329679263, 0.01845677070540673, 0.018457047599884598, 0.018457298780381687, 0.018457523126574126, 0.018457719636065142, 0.018457887429407072, 0.018458025754572317, 0.018458133990824899, 0.018458211651949549, 0.018458258388802259, 0.018458273991153448, 0.018458263588575233, 0.018458232415531038, 0.018458180575985233, 0.018458108242856128, 0.018458015657485047, 0.018457903128898445, 0.018457771032868074, 0.018457619810775868, 0.018457449968291326, 0.018457262073870346, 0.018457056757085668, 0.018456834706799749, 0.018456596669191819, 0.018456343445651544, 0.018456075890551864, 0.018455794908914313, 0.018455501453979676, 0.018455196524697393, 0.018454881163146326, 0.018454556451899473, 0.018454223511344462, 0.018453883496970962, 0.018453537596635438, 0.018453187027812307, 0.01845283303483972, 0.018452476886166951, 0.018452119871608556, 0.018451763299609542, 0.018451408494523789, 0.018451056793906639, 0.018450709545820471, 0.018450368106150767, 0.018450033835927984, 0.01844970809864898, 0.01844939225758975, 0.018449087673099385, 0.018448795699863661, 0.018448517684124373, 0.018448254960839339, 0.018448008850766112, 0.018447780657450931, 0.018447571664103497, 0.018447383130336382, 0.018447216288747521, 0.018447072341323541, 0.018446952455641159, 0.018446857760844374, 0.018446789343375663, 0.018446748242440771, 0.018446735445188583, 0.018446751881590201, 0.01844679841900523, 0.0184468758564276, 0.018446984918409418, 0.018447126248667914, 0.018447300403389412, 0.018447507844253752, 0.018447748931213918, 0.018448023915078934, 0.018448332929961953, 0.018448675985671632, 0.01844905296014205, 0.018449463592014371, 0.018449907473502468, 0.018450384043693438, 0.018450892582452656, 0.018451432205119887, 0.018452001858198216, 0.018452600316249009, 0.018453226180213639, 0.018453877877384259, 0.018454553663240676, 0.018455251625357407, 0.018455969689562614, 0.018456705628499062, 0.018457457072695124, 0.018458221524202227, 0.018458996372794145, 0.018459778914654494, 0.018460566373403962, 0.018461355923240504, 0.018462144713887289, 0.018462929896967791, 0.01846370865335965, 0.018464478221021589, 0.018465235922745089, 0.018465979193257258, 0.018466705605096063, 0.018467412892694324, 0.018468098974145405, 0.018468761970180471, 0.018469400219960786, 0.018470012293377896, 0.018470596999653473, 0.018471153392135786, 0.018471680769295881, 0.018472178672028678, 0.018472646877459104, 0.018473085389535421, 0.018473494426760217, 0.018473874407461382, 0.018474225933039302, 0.018474549769643796, 0.018474846828734952, 0.018475118146967971, 0.018475364865815375, 0.018475588211303247, 0.018475789474193746, 0.018475969990896922, 0.018476131125343364, 0.018476274251996935, 0.01847640074013714, 0.018476511939493179, 0.01847660916726928, 0.018476693696563441, 0.01847676674614946, 0.018476829471566428, 0.018476882957439024, 0.018476928210937472, 0.018476966156276014, 0.018476997630143783, 0.018477023377961067, 0.018477044050856775, 0.01847706020326844, 0.018477072291075054, 0.018477080670183083, 0.018477085595498672, 0.018477087220232551], [0.0192792710052349, 0.019279257835115762, 0.019279218360549032, 0.019279152688771787, 0.019279060998064229, 0.019278943537082555, 0.019278800623935843, 0.019278632645017234, 0.019278440053602831, 0.019278223368234398, 0.019277983170903915, 0.01927772010506091, 0.019277434873464946, 0.019277128235907669, 0.019276801006830126, 0.019276454052862532, 0.019276088290314349, 0.019275704682643419, 0.019275304237933385, 0.019274888006408791, 0.019274457078017445, 0.019274012580109207, 0.019273555675240618, 0.01927308755913372, 0.0192726094588174, 0.019272122630978737, 0.01927162836055123, 0.019271127959566144, 0.019270622766292399, 0.019270114144689817, 0.019269603484199677, 0.019269092199895959, 0.019268581733019707, 0.019268073551918272, 0.019267569153410317, 0.019267070064595947, 0.019266577845130715, 0.01926609408997975, 0.019265620432666563, 0.019265158549027717, 0.019264710161480861, 0.019264277043808106, 0.019263861026450148, 0.019263464002297139, 0.019263087932951131, 0.019262734855419416, 0.01926240688917957, 0.019262106243532549, 0.019261835225130336, 0.019261596245527386, 0.019261391828559356, 0.019261224617296926, 0.019261097380255995, 0.019261013016465985, 0.019260974558905151, 0.019260985175704792, 0.019261048168403294, 0.019261166966397479, 0.019261345116596083, 0.019261586267134562, 0.019261894143870088, 0.019262272518255585, 0.019262725165109611, 0.019263255808781018, 0.019263868056285258, 0.019264565316201375, 0.019265350702509183, 0.01926622692315913, 0.019267196154046307, 0.019268259900230865, 0.019269418847717604, 0.019270672710841142, 0.019272020082214181, 0.019273458294131018, 0.01927498330205113, 0.019276589602027484, 0.019278270194358536, 0.01928001660500386, 0.019281818974150631, 0.019283666217638634, 0.019285546261848214, 0.01928744634649518, 0.019289353383187879, 0.01929125435140857, 0.019293136708680877, 0.019294988788875221, 0.019296800162419109, 0.019298561934757284, 0.019300266964447841, 0.019301909989092869, 0.019303487654943864, 0.019304998453481412, 0.019306442574657457, 0.019307821691179325, 0.019309138690917042, 0.019310397375266894, 0.0193116021404072, 0.019312757656303317, 0.019313868555585631, 0.019314939141536699, 0.019315973121796535, 0.01931697337232971, 0.019317941734876738, 0.019318878850612915, 0.019319784033048897, 0.019320655184244532, 0.019321488760021408, 0.019322279791832073, 0.019323021974977834, 0.019323707834563521, 0.019324328981420082, 0.019324876469567327, 0.019325341263872101, 0.019325714820574533, 0.019325989773581811, 0.01932616070544018, 0.019326224963869779, 0.019326183463829753, 0.019326041393728829, 0.019325808726553012, 0.019325500427608642, 0.019325136256133572, 0.019324740083300811, 0.019324338696547722, 0.019323960127466806, 0.019323631619442526, 0.019323377427753318, 0.019323216701448407, 0.019323161716332093, 0.019323165379964962, 0.019323176177242083, 0.019323193536563362, 0.019323216535546809, 0.019323243944423682, 0.01932327428291725, 0.019323305887149242, 0.019323336982671746, 0.019323365759590677, 0.019323390445917615, 0.019323409375718026, 0.019323421049251902, 0.019323424183053911, 0.019323417748697874, 0.019323400999765067, 0.019323373487232291, 0.019323335064073091, 0.019323285880303236, 0.019323226369992039, 0.019323157231913378, 0.019323079405540084, 0.01932299404401621, 0.01932290248559956, 0.019322806224875262, 0.019322706884824709, 0.01932260619060984, 0.019322505945717133, 0.019322408010907795, 0.019322314286248254, 0.019322226696351134, 0.019322147178842064, 0.019322077675981417, 0.019322020129309864, 0.019321976477148634, 0.019321948654767909, 0.01932193859703462, 0.019321948243362481, 0.019321979544808781, 0.019322034473192355, 0.019322115032143629, 0.019322223270039261, 0.019322361294819988, 0.019322531290740755, 0.019322735537157097, 0.019322976429511914, 0.019323256502752753, 0.019323578457484742, 0.019323945189247911, 0.019324359821405981, 0.019324825742247125, 0.019325346647033299, 0.019325926585896925, 0.019326570018681547, 0.019327281878064744, 0.019328067642600495, 0.019328933421689998, 0.019329886054956079, 0.019330933229084721, 0.019332083615944861, 0.019333347036753636, 0.019334734658286442, 0.019336259228728874, 0.019337935362856145, 0.019339779888976397, 0.019341812273726718, 0.019344055145703806, 0.019346534945524588, 0.01934928273894088, 0.01935233524208475, 0.019355736125289815, 0.019359537686447808, 0.01936380301990483, 0.019368608857695185, 0.019374049334632597, 0.019380241040484684, 0.019387329892399909, 0.019395500624283562, 0.019404990107099507, 0.019416106390200302, 0.019429256477568036, 0.019444987774302036, 0.019464051529760142, 0.01948750280602532, 0.019516863313919882, 0.019554397031655464, 0.019603598164619776, 0.0196701023843435, 0.019763501767306811, 0.019901258490194258, 0.020118036501222038, 0.020491079047497057, 0.021222831606775305, 0.022990271695920342, 0.029146496957226958, 0.060901723806180065, 0.037506223027157871, 0.023909632036121904, 0.02114475278611767, 0.020228681363163824, 0.019828835686781919, 0.019623163694519156, 0.019505332189861831, 0.019432508458798597, 0.019384905945909692, 0.019352422292507818, 0.019329490478669036, 0.019312852565228585, 0.019300506967509738, 0.019291173672020913, 0.019284006137283771, 0.019278428290624174, 0.019274038389592688, 0.019270550260461896, 0.019267756253178094, 0.019265503245797018, 0.019263676726187146, 0.01926219000659786, 0.019260976777778868, 0.019259985882675641, 0.019259177594366697, 0.019258520932086402, 0.019257991706083926, 0.019257571082940669, 0.019257244529102512, 0.019257001034590385, 0.019256832549009815, 0.019256733583035288, 0.01925670094368501, 0.019256733583035288, 0.019256832549009811, 0.019257001034590385, 0.019257244529102508, 0.019257571082940676, 0.019257991706083923, 0.019258520932086406, 0.019259177594366697, 0.019259985882675638, 0.019260976777778875, 0.019262190006597853, 0.019263676726187149, 0.019265503245797014, 0.019267756253178094, 0.019270550260461889, 0.019274038389592688, 0.019278428290624185, 0.019284006137283764, 0.019291173672020916, 0.019300506967509744, 0.019312852565228581, 0.019329490478669054, 0.019352422292507818, 0.019384905945909674, 0.019432508458798632, 0.019505332189861876, 0.019623163694519254, 0.019828835686781929, 0.020228681363163862, 0.021144752786117882, 0.023909632036122411, 0.037506223027144632, 0.060901723806167152, 0.029146496957229755, 0.022990271695920401, 0.021222831606776314, 0.020491079047497116, 0.020118036501222025, 0.019901258490194262, 0.019763501767306887, 0.019670102384343576, 0.019603598164619779, 0.019554397031655471, 0.019516863313919868, 0.019487502806025334, 0.019464051529760159, 0.01944498777430204, 0.01942925647756804, 0.019416106390200305, 0.019404990107099521, 0.019395500624283569, 0.01938732989239992, 0.019380241040484684, 0.019374049334632604, 0.019368608857695185, 0.019363803019904827, 0.019359537686447804, 0.019355736125289812, 0.01935233524208475, 0.019349282738940887, 0.019346534945524588, 0.019344055145703802, 0.019341812273726715, 0.019339779888976397, 0.019337935362856145, 0.019336259228728871, 0.019334734658286445, 0.019333347036753632, 0.019332083615944858, 0.019330933229084718, 0.019329886054956072, 0.019328933421689998, 0.019328067642600495, 0.019327281878064744, 0.019326570018681547, 0.019325926585896928, 0.019325346647033302, 0.019324825742247125, 0.019324359821405977, 0.019323945189247915, 0.019323578457484742, 0.019323256502752753, 0.019322976429511907, 0.019322735537157097, 0.019322531290740748, 0.019322361294819991, 0.019322223270039265, 0.019322115032143629, 0.019322034473192359, 0.019321979544808781, 0.019321948243362488, 0.01932193859703462, 0.019321948654767905, 0.019321976477148634, 0.01932202012930986, 0.019322077675981413, 0.019322147178842057, 0.019322226696351141, 0.019322314286248247, 0.019322408010907791, 0.01932250594571714, 0.01932260619060984, 0.019322706884824705, 0.019322806224875259, 0.019322902485599557, 0.01932299404401621, 0.019323079405540084, 0.019323157231913378, 0.019323226369992036, 0.019323285880303246, 0.019323335064073091, 0.019323373487232294, 0.019323400999765063, 0.01932341774869787, 0.019323424183053915, 0.019323421049251895, 0.019323409375718022, 0.019323390445917608, 0.019323365759590677, 0.019323336982671746, 0.019323305887149238, 0.01932327428291725, 0.019323243944423679, 0.019323216535546806, 0.019323193536563366, 0.019323176177242083, 0.019323165379964959, 0.019323161716332096, 0.019323163551948731, 0.019323169007136539, 0.019323177928180394, 0.019323190063084132, 0.019323205067720794, 0.019323222514163643, 0.019323241900933579, 0.019323262664844246, 0.01932328419408566, 0.019323305842161329, 0.019323326942284159, 0.019323346821841645, 0.019323364816560086, 0.0193233802840291, 0.019323392616288928, 0.019323401251232292, 0.01932340568262525, 0.019323405468607901, 0.019323400238590156, 0.019323389698510659, 0.019323373634474936, 0.019323351914831421, 0.019323324490779548, 0.019323291395632804, 0.019323252742881269, 0.019323208723211967, 0.019323159600653752, 0.019323105708014755, 0.019323047441777718, 0.019322985256610831, 0.01932291965964129, 0.019322851204625451, 0.019322780486135102, 0.019322708133863553, 0.019322634807139475, 0.019322561189721192, 0.019322487984928884, 0.019322415911158682, 0.019322345697809842, 0.019322278081645158, 0.019322213803594914, 0.019322153606006354, 0.019322098230333755, 0.019322048415258797, 0.019322004895226359, 0.019321968399377949, 0.019321939650862697, 0.019321919366504705, 0.019321908256805003, 0.019321907026256521, 0.019321916373951403, 0.019321936994461039, 0.01932196957897081, 0.019322014816653493, 0.019322073396267285, 0.019322146007966917, 0.019322233345318404, 0.019322336107511082, 0.019322455001762794, 0.019322590745917106, 0.019322744071234303, 0.01932291572538062, 0.019323106475623655, 0.019323317112244557, 0.019323548452181538, 0.019323801342922081, 0.019324076666665788, 0.019324375344783071, 0.019324698342600033, 0.019325046674544016, 0.019325421409690249, 0.019325823677755424, 0.019326254675591032, 0.019326715674236654, 0.019327208026601522, 0.019327733175853155, 0.019328292664601732, 0.019328888144982674, 0.019329521389753614, 0.019330194304539333, 0.019330908941377678, 0.019331667513742139, 0.019332472413243682, 0.019333326228245334, 0.019334231764659936, 0.019335192069244313, 0.019336210455754479, 0.019337290534386688, 0.019338436245001089, 0.019339651894710704, 0.019340942200520683, 0.019342312337826434, 0.019343767995727588, 0.019345315440294341, 0.019346961587141095, 0.019348714084928022, 0.019350581411736918, 0.019352572986667631, 0.019354699299495855, 0.019356972061845706, 0.019359404384095273, 0.019362010983190715, 0.019364808427751411, 0.019367815428377271, 0.019371053183017416, 0.01937454578975812, 0.019378320742611737, 0.019382409530079581, 0.019386848361746797, 0.019391679055403205, 0.01939695012680609, 0.019402718137106763, 0.019409049370430025, 0.019416021937968694, 0.019423728437920125, 0.019432279346615844, 0.019441807381215613, 0.019452473167364565, 0.019464472680135309, 0.019478047125165356, 0.019493496223878803, 0.019511196318542399, 0.01953162541348687, 0.019555398377642516, 0.019583317328651616, 0.019616445198554877, 0.019656215566281825, 0.019704600793648299, 0.019936103830755638, 0.020478980202157687, 0.022367032970144207, 0.040988484167723667, 0.033069701008282569, 0.021254487147828321, 0.019945819609287541, 0.019582954207710852, 0.019438516892714849, 0.019368789333149301, 0.019330840849758224, 0.019308434295643502, 0.019294402083726889, 0.019285213379630697, 0.019278979950300149, 0.019274625327542927, 0.019271503541840145, 0.019269210292341726, 0.019267483462454021, 0.019266147965029269, 0.019265083838184198, 0.019264207132040356, 0.019263458140124583, 0.019262794029050793, 0.019262184233666449, 0.019261607718782749, 0.019261051661035044, 0.019260511441385162, 0.019259992182248008, 0.019259512555586344, 0.019259112481546357, 0.019258868187946601, 0.019258922290176554, 0.019259546830526289, 0.019261284816355619, 0.019265298504765951, 0.019274337992764838, 0.019295933550656008, 0.019355947279650877, 0.019586946717687688, 0.021766669168280815, 0.027356814485911714, 0.020156484003115063, 0.019617170861269299, 0.019465448472985855, 0.019399889694512121, 0.019364715622757201, 0.019343186360017653, 0.019328780663007052, 0.019318498919959529, 0.019310791941198321, 0.019304788184450056, 0.019299964036992474, 0.019295988139171837, 0.019292641802251865, 0.019289775630465158, 0.019287284591080908, 0.019285093034687943, 0.019283145345934508, 0.019281399913806018, 0.01927982512981757, 0.019278396664220987, 0.019277095570083953, 0.019275906936949163, 0.0192748189174454, 0.01927382201207338, 0.019272908535976428, 0.019272072216133286, 0.019271307883454422, 0.019270611234913994, 0.019269978648043438, 0.019269407035048033, 0.019268893727244815, 0.01926843638294571, 0.01926803291364405, 0.019267681424617093, 0.019267380166975379, 0.01926712749886873, 0.019266921854066581, 0.019266761716513384, 0.019266645599752309, 0.019266572030335518, 0.019266539534513724, 0.019266546627635783, 0.01926659180579661, 0.019266673539358969, 0.019266790268044263, 0.019266940397343724, 0.019267122296047788, 0.019267334294729044, 0.019267574685045471, 0.019267841719756373, 0.019268133613364876, 0.019268448543318144, 0.019268784651711567, 0.01926914004745435, 0.01926951280886385, 0.019269900986663598, 0.019270302607365349, 0.01927071567702008, 0.019271138185325307, 0.019271568110077811, 0.019272003421961212, 0.019272442089657154, 0.019272882085267364, 0.01927332139003152, 0.019273758000323035, 0.019274189933901013, 0.019274615236393122, 0.019275031987979353, 0.019275438310242594, 0.019275832373147145, 0.01927621240210205, 0.019276576685061841, 0.019276923579613355, 0.019277251519994126, 0.019277559023984744, 0.01927784469961609, 0.019278107251630351, 0.019278345487635257, 0.019278558323890884, 0.019278744790670637, 0.019278904037140273, 0.01927903533570274, 0.019279138085761326, 0.019279211816859043, 0.019279256191158611, 0.0192792710052349, 0.019279261128205154, 0.019279231530673874, 0.019279182313210921, 0.019279113643086897, 0.019279025753756878, 0.01927891894414293, 0.019278793577720246, 0.019278650081413485, 0.01927848894431082, 0.019278310716204519, 0.019278116005967755, 0.019277905479778507, 0.019277679859201695, 0.019277439919141721, 0.019277186485677739, 0.019276920433794479, 0.019276642685021071, 0.019276354204991013, 0.019276056000935328, 0.019275749119121232, 0.019275434642247621, 0.019275113686808169, 0.019274787400432088, 0.019274456959211126, 0.019274123565020795, 0.019273788442842246, 0.019273452838089934, 0.019273118013948702, 0.019272785248722484, 0.01927245583319516, 0.019272131068002386, 0.019271812261011538, 0.019271500724705209, 0.019271197773561823, 0.019270904721425317, 0.019270622878853796, 0.019270353550435767, 0.019270098032060388, 0.019269857608126981, 0.019269633548677247, 0.019269427106432375, 0.019269239513716077, 0.019269071979243289, 0.019268925684753808, 0.019268801781469419, 0.019268701386353095, 0.019268625578148922, 0.019268575393182493, 0.019268551820902539, 0.019268555799146846, 0.01926858820911824, 0.019268649870060044, 0.01926874153362515, 0.019268863877938674, 0.019269017501360928, 0.01926920291596607, 0.019269420540761126, 0.019269670694681443, 0.019269953589411148, 0.019270269322091214, 0.019270617867993174, 0.019270999073253112, 0.019271412647777968, 0.019271858158454495, 0.019272335022809034, 0.019272842503284083, 0.019273379702313645, 0.019273945558393457, 0.019274538843352916, 0.019275158161041549, 0.019275801947644122, 0.019276468473831958, 0.019277155848944651, 0.019277862027373499, 0.019278584817286351, 0.019279321891791448, 0.019280070802587, 0.01928082899608306, 0.019281593831914769, 0.019282362603692919, 0.019283132561761986, 0.019283900937659706, 0.019284664969900178, 0.019285421930637561, 0.019286169152713393, 0.019286904056551379, 0.019287624176340737, 0.019288327184946767, 0.019289010917004561, 0.019289673389689576, 0.019290312820716287, 0.019290927643190001, 0.019291516517024727, 0.019292078336737743, 0.01929261223553403, 0.019293117585696799, 0.019293593995399535, 0.019294041302145536, 0.019294459563120089, 0.019294849042804586, 0.019295210198250489, 0.01929554366244227, 0.019295850226192998, 0.019296130819015139, 0.019296386489393486, 0.019296618384860076, 0.019296827732233401, 0.01929701581834067, 0.019297183971492694, 0.019297333543931032, 0.019297465895415571, 0.019297582378072553, 0.019297684322577106, 0.019297773025703138, 0.019297849739237642, 0.019297915660225637, 0.019297971922487011, 0.019298019589327437, 0.019298059647351509, 0.019298093001277033, 0.019298120469645359, 0.019298142781321588, 0.019298160572682223, 0.019298174385393028, 0.019298184664689015, 0.019298191758078464, 0.019298195914405385, 0.019298197283218046], [0.019849849984014116, 0.019849837410836315, 0.019849799726071503, 0.019849737033894019, 0.019849649507490977, 0.019849537388412393, 0.019849400985672033, 0.019849240674609209, 0.019849056895524752, 0.01984885015210704, 0.019848621009665973, 0.019848370093195421, 0.019848098085286363, 0.019847805723914664, 0.019847493800128957, 0.019847163155665308, 0.019846814680516134, 0.019846449310481708, 0.019846068024732978, 0.019845671843414528, 0.019845261825316846, 0.019844839065646446, 0.0198444046939227, 0.019843959872029113, 0.019843505792446814, 0.019843043676697085, 0.019842574774019114, 0.019842100360308618, 0.019841621737341917, 0.019841140232309717, 0.019840657197683628, 0.019840174011438092, 0.019839692077649209, 0.019839212827491477, 0.019838737720652058, 0.019838268247181191, 0.019837805929796178, 0.019837352326653911, 0.019836909034605221, 0.019836477692940571, 0.019836059987633017, 0.019835657656078406, 0.019835272492326219, 0.019834906352784738, 0.019834561162372717, 0.019834238921074342, 0.019833941710835072, 0.019833671702711702, 0.019833431164159778, 0.019833222466304392, 0.019833048090994506, 0.019832910637385938, 0.019832812827731812, 0.019832757511981172, 0.019832747670694838, 0.019832786415682962, 0.019832876987650794, 0.019833022750009765, 0.019833227177873995, 0.01983349384112304, 0.019833826380280521, 0.019834228473847637, 0.019834703795661102, 0.019835255960839557, 0.019835888458975014, 0.019836604573450687, 0.019837407286169222, 0.019838299167594761, 0.019839282252891305, 0.019840357906099566, 0.019841526675739102, 0.019842788146912173, 0.019844140796832877, 0.019845581862553502, 0.0198471072312905, 0.019848711364878625, 0.019850387270185812, 0.01985212652649166, 0.019853919378629039, 0.019855754901017993, 0.019857621232701017, 0.019859505877490802, 0.019861396056984434, 0.01986327909828255, 0.019865142833635968, 0.019866975986681783, 0.019868768519915411, 0.019870511920685077, 0.019872199407975782, 0.019873826048891603, 0.019875388781131764, 0.019876886344918559, 0.01987831913392726, 0.019879688979201209, 0.019880998882542793, 0.019882252716503877, 0.01988345490715604, 0.019884610113759551, 0.01988572291678161, 0.019886797522925992, 0.019887837493332793, 0.019888845499187915, 0.019889823107834478, 0.019890770602195698, 0.01989168683690731, 0.019892569135961016, 0.019893413238751427, 0.019894213304002577, 0.019894961983833313, 0.019895650582785484, 0.019896269318403364, 0.019896807700145097, 0.019897255041058451, 0.019897601110655624, 0.019897836926657499, 0.019897955666885469, 0.019897953660345098, 0.019897831389431547, 0.01989759440587506, 0.019897254036360244, 0.019896827736638766, 0.019896338953721487, 0.01989581638230923, 0.019895292558862302, 0.019894801823315381, 0.019894377784531615, 0.019894050532352006, 0.019893843921697185, 0.019893773287979578, 0.019893778430120797, 0.019893793608955306, 0.019893818093821444, 0.019893850706482943, 0.019893889877639619, 0.019893933720739325, 0.019893980118392114, 0.019894026816121676, 0.019894071518067203, 0.019894111979546644, 0.019894146092043742, 0.019894171957087717, 0.019894187946549662, 0.019894192747971814, 0.019894185394581314, 0.019894165280543389, 0.019894132162732212, 0.019894086150818193, 0.019894027687786899, 0.019893957523135622, 0.019893876680967364, 0.019893786425054138, 0.019893688222708952, 0.019893583709023329, 0.019893474652723547, 0.019893362924599364, 0.019893250469179086, 0.019893139280077989, 0.019893031379237789, 0.019892928800106634, 0.019892833574679959, 0.019892747724229949, 0.019892673253491321, 0.019892612148037614, 0.019892566374571968, 0.019892537883863342, 0.019892528616080003, 0.019892540508303119, 0.019892575504042095, 0.019892635564616835, 0.019892722682320271, 0.019892838895325279, 0.019892986304353325, 0.019893167091179404, 0.019893383539107017, 0.019893638055611989, 0.019893933197424607, 0.019894271698398174, 0.019894656500602043, 0.019895090789180742, 0.019895578031642946, 0.0198961220223891, 0.019896726933462429, 0.019897397372721351, 0.019898138450894765, 0.019898955859307562, 0.019899855960471124, 0.019900845894245827, 0.019901933702931047, 0.019903128479464686, 0.019904440543974843, 0.019905881655296064, 0.019907465265845539, 0.019909206830592104, 0.019911124183938894, 0.019913238002457003, 0.019915572376938934, 0.019918155524749487, 0.019921020683740888, 0.019924207243254249, 0.019927762187703063, 0.019931741956565271, 0.019936214865326974, 0.019941264291273072, 0.019946992915872007, 0.019953528447716647, 0.019961031452595708, 0.019969706233956389, 0.019979816212856126, 0.019991706084010678, 0.020005834414623117, 0.020022822757752246, 0.020043531653329207, 0.02006918187617298, 0.020101554764860086, 0.020143336959410389, 0.020198742747542096, 0.02027470370724482, 0.02038330660211634, 0.020547240896164113, 0.020813397139065135, 0.021292192965172606, 0.022297232774306709, 0.025018161173524144, 0.036565346010651541, 0.065003438000527852, 0.029994795746177791, 0.023054095618970278, 0.02129406588737897, 0.020631815872365886, 0.020320565643271771, 0.020152603643336691, 0.02005308220779816, 0.019990013410508222, 0.019947974826220995, 0.019918832792784717, 0.019897989446808227, 0.01988269797943916, 0.019871241810132341, 0.019862507304561825, 0.019855748856282409, 0.019850453659885893, 0.019846260763576633, 0.019842910951071432, 0.019840214786487311, 0.019838031708173446, 0.019836256036770319, 0.019834807420617467, 0.019833624194340767, 0.019832658689947359, 0.019831873881816994, 0.019831240959590466, 0.019830737558022359, 0.019830346460455173, 0.019830054650528464, 0.019829852625895889, 0.019829733914816579, 0.019829694755799248, 0.019829733914816572, 0.019829852625895882, 0.019830054650528464, 0.019830346460455176, 0.019830737558022362, 0.01983124095959047, 0.019831873881816994, 0.019832658689947363, 0.01983362419434077, 0.019834807420617467, 0.019836256036770316, 0.019838031708173446, 0.019840214786487311, 0.019842910951071432, 0.01984626076357663, 0.01985045365988589, 0.019855748856282412, 0.019862507304561825, 0.019871241810132341, 0.019882697979439156, 0.019897989446808234, 0.019918832792784721, 0.019947974826220998, 0.019990013410508194, 0.020053082207798206, 0.020152603643336757, 0.020320565643271921, 0.020631815872365927, 0.021294065887379039, 0.023054095618970708, 0.029994795746179283, 0.065003438000513419, 0.03656534601064515, 0.025018161173525257, 0.022297232774306699, 0.021292192965173231, 0.02081339713906517, 0.020547240896164103, 0.020383306602116347, 0.020274703707244872, 0.020198742747542155, 0.020143336959410393, 0.020101554764860082, 0.020069181876172973, 0.020043531653329224, 0.020022822757752256, 0.020005834414623121, 0.019991706084010678, 0.019979816212856129, 0.019969706233956396, 0.019961031452595712, 0.019953528447716657, 0.019946992915872007, 0.019941264291273082, 0.019936214865326967, 0.019931741956565278, 0.01992776218770306, 0.019924207243254246, 0.019921020683740891, 0.019918155524749494, 0.019915572376938927, 0.019913238002457, 0.019911124183938905, 0.019909206830592101, 0.019907465265845543, 0.019905881655296061, 0.01990444054397485, 0.019903128479464686, 0.019901933702931047, 0.019900845894245824, 0.01989985596047112, 0.019898955859307559, 0.019898138450894758, 0.019897397372721351, 0.019896726933462429, 0.019896122022389107, 0.019895578031642949, 0.019895090789180753, 0.019894656500602039, 0.019894271698398178, 0.019893933197424614, 0.019893638055611989, 0.019893383539107013, 0.019893167091179408, 0.019892986304353329, 0.019892838895325279, 0.019892722682320271, 0.019892635564616831, 0.019892575504042095, 0.019892540508303119, 0.019892528616080006, 0.019892537883863342, 0.019892566374571968, 0.019892612148037617, 0.019892673253491325, 0.019892747724229946, 0.019892833574679952, 0.019892928800106634, 0.019893031379237786, 0.019893139280077989, 0.019893250469179082, 0.019893362924599357, 0.019893474652723547, 0.019893583709023329, 0.019893688222708952, 0.019893786425054138, 0.019893876680967371, 0.019893957523135622, 0.019894027687786902, 0.0198940861508182, 0.019894132162732212, 0.019894165280543389, 0.01989418539458131, 0.019894192747971804, 0.019894187946549662, 0.019894171957087717, 0.019894146092043739, 0.019894111979546644, 0.0198940715180672, 0.019894026816121683, 0.019893980118392107, 0.019893933720739318, 0.019893889877639626, 0.019893850706482939, 0.019893818093821437, 0.019893793608955303, 0.019893778430120794, 0.019893773287979585, 0.019893775863916163, 0.019893783525728945, 0.019893796077082096, 0.019893813196209385, 0.01989383444390844, 0.019893859274350802, 0.019893887048347894, 0.019893917048640457, 0.01989394849672612, 0.019893980570708444, 0.019894012423641149, 0.019894043201853142, 0.019894072062770378, 0.019894098191797965, 0.019894120817885767, 0.019894139227469996, 0.01989415277655765, 0.019894160900796497, 0.01989416312344729, 0.019894159061244119, 0.019894148428190792, 0.019894131037394604, 0.019894106801082403, 0.019894075728977237, 0.019894037925237588, 0.019893993584174714, 0.019893942984969548, 0.01989388648560788, 0.019893824516244767, 0.019893757572195424, 0.019893686206733159, 0.019893611023855264, 0.019893532671157128, 0.019893451832933329, 0.019893369223603415, 0.019893285581540208, 0.019893201663359211, 0.019893118238710927, 0.019893036085602722, 0.019892955986263262, 0.019892878723551857, 0.019892805077905189, 0.019892735824807037, 0.019892671732760228, 0.019892613561736518, 0.01989256206207653, 0.019892517973810926, 0.019892482026372626, 0.01989245493867077, 0.01989243741949738, 0.019892430168239609, 0.019892433875872091, 0.019892449226206317, 0.019892476897376294, 0.019892517563542586, 0.019892571896799646, 0.019892640569273951, 0.01989272425540398, 0.019892823634395422, 0.01989293939284846, 0.019893072227556839, 0.019893222848481457, 0.019893391981904478, 0.01989358037377292, 0.019893788793244178, 0.019894018036449176, 0.019894268930492467, 0.019894542337712453, 0.019894839160228869, 0.019895160344809225, 0.019895506888090574, 0.0198958798421985, 0.019896280320811047, 0.019896709505722095, 0.019897168653966082, 0.019897659105574724, 0.019898182292045943, 0.019898739745616654, 0.019899333109443605, 0.019899964148811587, 0.019900634763505547, 0.019901347001502676, 0.019902103074164602, 0.019902905373136298, 0.019903756489190728, 0.019904659233295492, 0.019905616660222211, 0.019906632095071437, 0.019907709163148251, 0.019908851823697317, 0.019910064408094414, 0.019911351663197067, 0.019912718800683848, 0.019914171553364737, 0.019915716239630562, 0.019917359837434201, 0.019919110069471318, 0.01992097550156453, 0.019922965656669032, 0.019925091147429397, 0.019927363830852324, 0.019929796989453442, 0.019932405544230262, 0.019935206306067935, 0.019938218273775035, 0.019941462988976068, 0.019944964960692771, 0.01994875217581376, 0.01995285671603278, 0.019957315507579756, 0.019962171237654605, 0.01996747348157776, 0.019973280098243808, 0.019979658969866171, 0.019986690187194484, 0.019994468816240608, 0.020003108431309355, 0.020012745668163013, 0.020023546150143103, 0.020035712284005667, 0.02004949363463317, 0.020065200906341719, 0.020083225044689724, 0.020104063729039556, 0.020128358727602831, 0.020156949539682383, 0.020190952006049874, 0.020231876152946485, 0.020421814026209725, 0.020838075508737317, 0.022095917275606492, 0.030233042400496787, 0.053980926661633261, 0.022858537435525881, 0.02073406326772027, 0.020232889449667942, 0.020047471953312558, 0.019961506068664321, 0.019915851882015639, 0.019889306929371662, 0.019872841106506119, 0.019862118169307785, 0.01985486268210368, 0.019849796071473275, 0.019846159699035304, 0.019843482977038227, 0.01984146300448978, 0.019839898643436181, 0.019838652767159664, 0.019837629832130142, 0.019836762163991419, 0.019836001417456416, 0.019835313263877087, 0.019834674240776382, 0.019834070233954889, 0.019833496457194115, 0.019832959192912874, 0.019832480127700981, 0.019832105157960966, 0.019831921718759159, 0.019832093676703098, 0.019832935242858781, 0.019835079296776074, 0.019839899556752062, 0.019850716041034149, 0.019876923944496902, 0.019952632486822827, 0.020273423337198043, 0.024624226097974218, 0.024064986589314111, 0.02054925136601253, 0.020146851527247617, 0.02002050915241595, 0.019963119272316372, 0.019931430880068133, 0.019911667979668573, 0.019898267010891427, 0.019888605920610002, 0.019881306596507841, 0.019875583443748457, 0.019870959613212228, 0.019867130856822644, 0.019863895038223358, 0.019861113310197, 0.019858687609452787, 0.019856547034967056, 0.019854639293127214, 0.019852925150465685, 0.019851374734609746, 0.019849965006038837, 0.019848677991746722, 0.019847499526760862, 0.01984641834156748, 0.019845425389785665, 0.019844513345704407, 0.019843676223892891, 0.019842909087866633, 0.019842207824629948, 0.019841568968578496, 0.019840989562829987, 0.019840467049250864, 0.019839999180710437, 0.01983958395071566, 0.019839219536755371, 0.019838904254544643, 0.019838636520998786, 0.019838414824244786, 0.019838237699339824, 0.019838103708642731, 0.019838011425997532, 0.019837959424053895, 0.019837946264180065, 0.019837970488526532, 0.019838030613881882, 0.019838125127028646, 0.019838252481360653, 0.019838411094568239, 0.019838599347233317, 0.019838815582206761, 0.019839058104665016, 0.019839325182763604, 0.019839615048822146, 0.019839925900989489, 0.019840255905348964, 0.019840603198433015, 0.019840965890123734, 0.019841342066921414, 0.019841729795567167, 0.019842127127008394, 0.019842532100697381, 0.019842942749213496, 0.019843357103198969, 0.019843773196596512, 0.019844189072174983, 0.019844602787326113, 0.019845012420111979, 0.019845416075538906, 0.019845811892029247, 0.019846198048058053, 0.019846572768917218, 0.019846934333565255, 0.019847281081516736, 0.019847611419721394, 0.019847923829379804, 0.019848216872639581, 0.019848489199114187, 0.019848739552164756, 0.019848966774885641, 0.01984916981573439, 0.019849347733748839, 0.019849499703296341, 0.019849625018303986, 0.019849723095923068, 0.019849793479586746, 0.019849835841425682, 0.019849849984014116, 0.019849840554671282, 0.019849812299205093, 0.019849765315201235, 0.019849699764965732, 0.019849615875022195, 0.01984951393541309, 0.019849394298809935, 0.019849257379438452, 0.01984910365182653, 0.01984893364938306, 0.019848747962817607, 0.019848547238410983, 0.019848332176148103, 0.019848103527724564, 0.019847862094439131, 0.019847608724984551, 0.019847344313148857, 0.019847069795439758, 0.01984678614864397, 0.019846494387333376, 0.019846195561328755, 0.019845890753131895, 0.019845581075335298, 0.019845267668018099, 0.019844951696135579, 0.019844634346908543, 0.019844316827217226, 0.019844000361003315, 0.019843686186681812, 0.019843375554563201, 0.019843069724284526, 0.019842769962246445, 0.019842477539051495, 0.019842193726937289, 0.01984191979719643, 0.019841657017573275, 0.01984140664962623, 0.019841169946042347, 0.019840948147889597, 0.01984074248179081, 0.019840554157001849, 0.019840384362375618, 0.019840234263192327, 0.019840104997835999, 0.019839997674296624, 0.019839913366477519, 0.019839853110287513, 0.019839817899498995, 0.019839808681353575, 0.019839826351900073, 0.019839871751051664, 0.019839945657353201, 0.019840048782454309, 0.019840181765289698, 0.019840345165974729, 0.019840539459433246, 0.019840765028783264, 0.019841022158517845, 0.019841311027530562, 0.019841631702048449, 0.01984198412855075, 0.019842368126767686, 0.01984278338287019, 0.019843229442979442, 0.019843705707142063, 0.019844211423933625, 0.019844745685868571, 0.019845307425807597, 0.019845895414563469, 0.019846508259911366, 0.019847144407209954, 0.019847802141832634, 0.019848479593593763, 0.019849174743331914, 0.019849885431780033, 0.019850609370810648, 0.019851344157093886, 0.019852087288146539, 0.019852836180684633, 0.019853588191120104, 0.01985434063796896, 0.019855090825864233, 0.019855836070798088, 0.019856573726155263, 0.01985730120904906, 0.01985801602643484, 0.019858715800456044, 0.019859398292477539, 0.01986006142528034, 0.019860703302930931, 0.019861322227896057, 0.019861916715048018, 0.019862485502292006, 0.01986302755764335, 0.019863542082682342, 0.0198640285124153, 0.019864486511665534, 0.01986491596820603, 0.019865316982920465, 0.01986568985734067, 0.019866035078953841, 0.019866353304701295, 0.01986664534310302, 0.019866912135439327, 0.01986715473640422, 0.019867374294617164, 0.019867572033342575, 0.019867749231722714, 0.019867907206781787, 0.019868047296409244, 0.019868170843480928, 0.019868279181229239, 0.01986837361992919, 0.019868455434927639, 0.019868525856008044, 0.019868586058053993, 0.019868637152950775, 0.019868680182646072, 0.01986871611327768, 0.019868745830267986, 0.019868770134280647, 0.019868789737935138, 0.019868805263178007, 0.01986881723921545, 0.019868826100920851, 0.01986883218764068, 0.019868835742334678, 0.019868836910998906], [0.020434653992585157, 0.020434642152697535, 0.020434606666520253, 0.020434547634383106, 0.020434465223080782, 0.0204343596652455, 0.020434231258479339, 0.020434080364256018, 0.020433907406605313, 0.020433712870595658, 0.020433497300632354, 0.020433261298591611, 0.020433005521812202, 0.020432730680968153, 0.020432437537847403, 0.020432126903062474, 0.020431799633720178, 0.020431456631077923, 0.020431098838214628, 0.020430727237744542, 0.020430342849602254, 0.020429946728926725, 0.020429539964072412, 0.020429123674774553, 0.020428699010495339, 0.020428267148977171, 0.020427829295028174, 0.020427386679564927, 0.020426940558935881, 0.020426492214548928, 0.02042604295282523, 0.020425594105500832, 0.020425147030296652, 0.020424703111976673, 0.020424263763812889, 0.020423830429474234, 0.020423404585355676, 0.020422987743361112, 0.020422581454151396, 0.020422187310865876, 0.020421806953320853, 0.020421442072683513, 0.020421094416611985, 0.020420765794843167, 0.020420458085197726, 0.020420173239956305, 0.020419913292541621, 0.020419680364416985, 0.020419476672081091, 0.020419304534002564, 0.020419166377291884, 0.020419064743853781, 0.020419002295698322, 0.020418981819011542, 0.020419006226497595, 0.020419078557402093, 0.020419201974512167, 0.020419379757304561, 0.020419615290281724, 0.020419912045404817, 0.020420273557410065, 0.02042070339069562, 0.020421205096408514, 0.020421782158369352, 0.020422437926577899, 0.020423175537280625, 0.020423997818992293, 0.020424907184488129, 0.020425905509656787, 0.020426994001247846, 0.020428173056959507, 0.020429442122950597, 0.020430799555635509, 0.020432242496377151, 0.020433766769214441, 0.020435366812771822, 0.020437035657693187, 0.020438764960028513, 0.020440545098758891, 0.020442365342000161, 0.020444214081507196, 0.020446079129284877, 0.020447948064004563, 0.02044980860930027, 0.020451649021696071, 0.020453458463604759, 0.020455227336987684, 0.020456947555954754, 0.020458612741490426, 0.020460218327944646, 0.020461761578043941, 0.020463241510027576, 0.020464658746296313, 0.020466015297123642, 0.020467314295282778, 0.020468559697945816, 0.020469755971213269, 0.020470907770577324, 0.020472019628007918, 0.020473095653648809, 0.02047413925771931, 0.020475152896431075, 0.0204761378447487, 0.020477093998753547, 0.020478019711250444, 0.020478911666060733, 0.020479764799086381, 0.020480572277548289, 0.020481325552529083, 0.020482014503664981, 0.020482627697899037, 0.020483152785723002, 0.020483577057088115, 0.020483888173660557, 0.020484075082686917, 0.020484129098902699, 0.020484045113787864, 0.020483822856534446, 0.020483468091059661, 0.020482993594012053, 0.020482419729053701, 0.020481774424500689, 0.020481092386920165, 0.020480413451514665, 0.020479780082024068, 0.02047923417705733, 0.020478813491004784, 0.020478548100290813, 0.020478457402477401, 0.020478464533247157, 0.020478485605475348, 0.020478519675020828, 0.020478565220838098, 0.020478620219852021, 0.020478682244370987, 0.020478748575520948, 0.020478816325460988, 0.020478882561060837, 0.020478944422234229, 0.020478999229119794, 0.020479044573634947, 0.020479078392432851, 0.020479099019810217, 0.020479105220510829, 0.020479096203549721, 0.020479071619085312, 0.020479031540975655, 0.020478976437976911, 0.020478907136616861, 0.020478824778648631, 0.020478730775716047, 0.02047862676349502, 0.020478514557161685, 0.020478396109616635, 0.020478273473494939, 0.020478148767632494, 0.020478024148353088, 0.020477901785690641, 0.020477783844468543, 0.020477672470017125, 0.020477569778216794, 0.020477477849499319, 0.02047739872641742, 0.020477334414395084, 0.020477286885292545, 0.020477258083454849, 0.020477249933957262, 0.020477264352811057, 0.020477303258947636, 0.020477368587854473, 0.02047746230679403, 0.020477586431594242, 0.020477743045058696, 0.020477934317104672, 0.020478162526801021, 0.020478430086545506, 0.02047873956869501, 0.020479093735044817, 0.020479495569647333, 0.020479948315570599, 0.020480455516326483, 0.020481021062854356, 0.020481649247134675, 0.020482344823738539, 0.020483113080904784, 0.02048395992309229, 0.020484891967400755, 0.020485916656816205, 0.02048704239395157, 0.020488278699866455, 0.020489636403725236, 0.020491127870575932, 0.02049276727652025, 0.020494570943159689, 0.020496557746669853, 0.020498749621489887, 0.020501172184869368, 0.020503855517035298, 0.020506835143469158, 0.02051015328210155, 0.020513860441204044, 0.020518017486506654, 0.020522698343391713, 0.020527993569400195, 0.020534015135640064, 0.020540902912300388, 0.020548833595272237, 0.020558033191904038, 0.02056879479799489, 0.020581504412675668, 0.020596679260874075, 0.020615026110934083, 0.020637532547076117, 0.020665614476195998, 0.020701363505084686, 0.020747980119761936, 0.020810571983748655, 0.020897718284113912, 0.021024774874707632, 0.021221549774791515, 0.021552451108106798, 0.02217888869779383, 0.023603931232187347, 0.028040874999789019, 0.050346908312951598, 0.047911087699230512, 0.026727236045481856, 0.022791206948083894, 0.021593941231779813, 0.021095707378868751, 0.020846698688011252, 0.020706649502164685, 0.020621148467641057, 0.020565715528872586, 0.020528091601066858, 0.02050161941598724, 0.020482446949648611, 0.020468228678206603, 0.020457475279274558, 0.020449207401324342, 0.020442761667581095, 0.020437677185860561, 0.020433626657144998, 0.020430373198368722, 0.020427742515656315, 0.020425604525470625, 0.020423860950517656, 0.020422436786891957, 0.020421274335328442, 0.02042032896549999, 0.02041956607413457, 0.020418958880796249, 0.020418486822528059, 0.02041813438537652, 0.020417890262205439, 0.020417746761422731, 0.020417699416118245, 0.020417746761422731, 0.020417890262205432, 0.020418134385376516, 0.020418486822528059, 0.020418958880796253, 0.020419566074134563, 0.020420328965499994, 0.020421274335328442, 0.020422436786891963, 0.020423860950517663, 0.020425604525470622, 0.020427742515656315, 0.020430373198368715, 0.020433626657145001, 0.020437677185860557, 0.020442761667581088, 0.020449207401324346, 0.020457475279274554, 0.02046822867820661, 0.020482446949648615, 0.02050161941598725, 0.020528091601066872, 0.020565715528872597, 0.020621148467641032, 0.020706649502164741, 0.02084669868801135, 0.021095707378868959, 0.021593941231779851, 0.022791206948083967, 0.026727236045482751, 0.047911087699233829, 0.050346908312971166, 0.028040874999786955, 0.023603931232187958, 0.022178888697793775, 0.021552451108107204, 0.021221549774791536, 0.021024774874707615, 0.020897718284113912, 0.020810571983748707, 0.020747980119761984, 0.020701363505084686, 0.020665614476195995, 0.020637532547076114, 0.020615026110934097, 0.020596679260874079, 0.020581504412675665, 0.020568794797994897, 0.020558033191904038, 0.020548833595272244, 0.020540902912300395, 0.020534015135640071, 0.020527993569400205, 0.02052269834339172, 0.020518017486506654, 0.020513860441204044, 0.02051015328210155, 0.020506835143469158, 0.020503855517035308, 0.020501172184869375, 0.020498749621489887, 0.020496557746669856, 0.020494570943159689, 0.02049276727652025, 0.020491127870575939, 0.020489636403725232, 0.020488278699866462, 0.02048704239395157, 0.020485916656816205, 0.020484891967400755, 0.020483959923092283, 0.020483113080904787, 0.020482344823738539, 0.020481649247134675, 0.020481021062854352, 0.020480455516326487, 0.020479948315570599, 0.020479495569647333, 0.020479093735044817, 0.02047873956869501, 0.020478430086545499, 0.020478162526801017, 0.020477934317104669, 0.020477743045058699, 0.020477586431594245, 0.020477462306794023, 0.020477368587854476, 0.020477303258947633, 0.020477264352811057, 0.020477249933957258, 0.020477258083454842, 0.020477286885292538, 0.020477334414395077, 0.020477398726417424, 0.020477477849499319, 0.020477569778216791, 0.020477672470017121, 0.020477783844468543, 0.020477901785690641, 0.020478024148353081, 0.02047814876763249, 0.020478273473494939, 0.020478396109616638, 0.020478514557161681, 0.020478626763495017, 0.020478730775716044, 0.020478824778648628, 0.020478907136616854, 0.020478976437976908, 0.020479031540975658, 0.020479071619085312, 0.020479096203549714, 0.020479105220510822, 0.020479099019810199, 0.020479078392432851, 0.020479044573634943, 0.020478999229119797, 0.020478944422234233, 0.020478882561060837, 0.020478816325460988, 0.020478748575520955, 0.020478682244370983, 0.020478620219852015, 0.020478565220838098, 0.020478519675020828, 0.020478485605475341, 0.020478464533247157, 0.020478457402477404, 0.020478460974165443, 0.020478471604035139, 0.020478489038696483, 0.020478512863064388, 0.020478542510932209, 0.020478577279241517, 0.020478616345547915, 0.020478658788083925, 0.020478703607750563, 0.020478749751331019, 0.02047879613521229, 0.020478841668924219, 0.020478885277854273, 0.02047892592456841, 0.020478962628256547, 0.02047899448192126, 0.020479020667032874, 0.020479040465479881, 0.020479053268743597, 0.020479058584318352, 0.020479056039478583, 0.020479045382561789, 0.020479026481988582, 0.020478999323279318, 0.020478964004351462, 0.020478920729392603, 0.020478869801605064, 0.020478811615108103, 0.020478746646267622, 0.020478675444700448, 0.020478598624174248, 0.02047851685359537, 0.020478430848247867, 0.020478341361417341, 0.020478249176505748, 0.020478155099717149, 0.020478059953370598, 0.020477964569875648, 0.020477869786387635, 0.020477776440144573, 0.020477685364474869, 0.020477597385455081, 0.02047751331918923, 0.020477433969675406, 0.020477360127222045, 0.020477292567373694, 0.020477232050305574, 0.020477179320646563, 0.020477135107691169, 0.020477100125963352, 0.02047707507609723, 0.020477060646002746, 0.020477057512287355, 0.020477066341908268, 0.020477087794033066, 0.020477122522089941, 0.020477171175992476, 0.020477234404526975, 0.020477312857893976, 0.020477407190398707, 0.020477518063288718, 0.02047764614773976, 0.020477792127994637, 0.02047795670466248, 0.020478140598189538, 0.020478344552515421, 0.020478569338932544, 0.020478815760169831, 0.020479084654725508, 0.020479376901478039, 0.020479693424608387, 0.020480035198871892, 0.020480403255263197, 0.020480798687123599, 0.020481222656747084, 0.020481676402548794, 0.020482161246868129, 0.02048267860448896, 0.020483229991970303, 0.020483817037894245, 0.020484441494152739, 0.020485105248412433, 0.020485810337917267, 0.020486558964812048, 0.020487353513198171, 0.020488196568165216, 0.020489090937080574, 0.020490039673464626, 0.020491046103832237, 0.020492113857945565, 0.020493246902998426, 0.020494449582343203, 0.020495726659479997, 0.020497083368157729, 0.02049852546959504, 0.020500059318019043, 0.020501691935952655, 0.020503431100964108, 0.020505285445940099, 0.020507264575371675, 0.020509379200671259, 0.020511641298197537, 0.02051406429448616, 0.020516663284216793, 0.020519455287749462, 0.020522459556717564, 0.020525697938277705, 0.020529195311332949, 0.020532980111559716, 0.02053708496664854, 0.020541547469179196, 0.020546411122502644, 0.020551726505608714, 0.02055755271723006, 0.020563959178815656, 0.0205710279025926, 0.020578856367786624, 0.020587561199733047, 0.020597282919910365, 0.020608192140293351, 0.020620497729001583, 0.020634457701482669, 0.020650393933302591, 0.020668712313994336, 0.020689930778432637, 0.020714718954965097, 0.020743955295928571, 0.020778811117754866, 0.020936387889853844, 0.021262603422793909, 0.022144825614327832, 0.026382455401271987, 0.086199601872433418, 0.025391934520114096, 0.02163854305903477, 0.020923358858954015, 0.0206810724242706, 0.020573832933620056, 0.020518415018412856, 0.020486729605164768, 0.020467275623691134, 0.020454680338424184, 0.020446180657111991, 0.020440247400940345, 0.020435983793264226, 0.020432838633746831, 0.020430459709270297, 0.020428614511718065, 0.020427145303621452, 0.020425942650442997, 0.020424929350614806, 0.02042405048613171, 0.02042326726161631, 0.020422553362094555, 0.020421893199110093, 0.020421281879134851, 0.020420727192919402, 0.02042025458955217, 0.020419917320227247, 0.020419816515210659, 0.020420141933328396, 0.020421259217872263, 0.020423911519813907, 0.020429735317555812, 0.020442774923045224, 0.020474889275620585, 0.02057187994878654, 0.021033661670131078, 0.031322751856597733, 0.022990967697899295, 0.021006843475822139, 0.020698105311244865, 0.020591834162922127, 0.020541378282356353, 0.020512781971398355, 0.020494636078757428, 0.020482177728282244, 0.020473110876735388, 0.020466208785533846, 0.020460763405913032, 0.020456340768313562, 0.020452661828469821, 0.020449540022104484, 0.020446846530147503, 0.02044448997645075, 0.020442404053533352, 0.020440539704610232, 0.020438860027874484, 0.020437336863156828, 0.020435948449645028, 0.020434677783667136, 0.020433511444943559, 0.020432438743042333, 0.020431451086941495, 0.020430541512792708, 0.020429704325679903, 0.020428934824744133, 0.02042822909011523, 0.020427583816251527, 0.02042699618053739, 0.020426463738961224, 0.020425984342804366, 0.020425556071783982, 0.020425177180192461, 0.020424846053382479, 0.020424561172546908, 0.020424321086191216, 0.020424124387037716, 0.020423969693360629, 0.020423855633952756, 0.020423780836081172, 0.020423743915913135, 0.020423743470991098, 0.020423778074414482, 0.020423846270449159, 0.020423946571337073, 0.020424077455120579, 0.02042423736433097, 0.020424424705419081, 0.020424637848829991, 0.020424875129643111, 0.020425134848715779, 0.020425415274281464, 0.020425714643965177, 0.020426031167186963, 0.020426363027932069, 0.020426708387870966, 0.020427065389816972, 0.020427432161511324, 0.020427806819727078, 0.020428187474683553, 0.020428572234762368, 0.020428959211514525, 0.020429346524945755, 0.020429732309064627, 0.020430114717674169, 0.02043049193038422, 0.020430862158817231, 0.020431223652976324, 0.020431574707739448, 0.020431913669439805, 0.020432238942487965, 0.020432548995987756, 0.020432842370294472, 0.020433117683461191, 0.020433373637517169, 0.020433609024520499, 0.02043382273232756, 0.020434013750021539, 0.020434181172944457, 0.020434324207279267, 0.02043444217413215, 0.020434534513069612, 0.020434600785070305, 0.020434640674857504, 0.020434653992585157, 0.020434645113185185, 0.020434618506288069, 0.020434574265704424, 0.020434512547460076, 0.020434433569310653, 0.02043433761006699, 0.020434225008735929, 0.020434096163482705, 0.020433951530422025, 0.020433791622246119, 0.020433617006699014, 0.020433428304906971, 0.020433226189575986, 0.020433011383067304, 0.020432784655362961, 0.020432546821933007, 0.020432298741516228, 0.020432041313826605, 0.020431775477196681, 0.020431502206169298, 0.020431222509048119, 0.020430937425417052, 0.020430648023637431, 0.020430355398331213, 0.020430060667856974, 0.020429764971784812, 0.020429469468374258, 0.02042917533205868, 0.020428883750937345, 0.02042859592427583, 0.020428313060012696, 0.02042803637226985, 0.020427767078861455, 0.020427506398795349, 0.020427255549758744, 0.020427015745578585, 0.020426788193645479, 0.020426574092288322, 0.020426374628085477, 0.020426190973097058, 0.020426024282001475, 0.020425875689118675, 0.020425746305301404, 0.020425637214675267, 0.020425549471208431, 0.020425484095091311, 0.020425442068907652, 0.020425424333578943, 0.020425431784065879, 0.020425465264812787, 0.020425525564923663, 0.020425613413062392, 0.020425729472074407, 0.020425874333332709, 0.020426048510817894, 0.020426252434950352, 0.020426486446201406, 0.020426750788521485, 0.020427045602635075, 0.02042737091926548, 0.020427726652366855, 0.020428112592456599, 0.020428528400157166, 0.020428973600073126, 0.020429447575145733, 0.020429949561642957, 0.020430478644957461, 0.020431033756396776, 0.020431613671159053, 0.020432217007691832, 0.020432842228630746, 0.0204334876435073, 0.020434151413400319, 0.020434831557682269, 0.020435525962979907, 0.020436232394427517, 0.020436948509241472, 0.020437671872586802, 0.020438399975642552, 0.020439130255702927, 0.020439860118080855, 0.020440586959509378, 0.020441308192670413, 0.020442021271421796, 0.020442723716245219, 0.020443413139405158, 0.02044408726929093, 0.020444743973416619, 0.020445381279573734, 0.020445997394672219, 0.020446590720862495, 0.020447159868604903, 0.020447703666438031, 0.020448221167290878, 0.020448711651281547, 0.020449174625041828, 0.02044960981769927, 0.020450017173731981, 0.020450396842982867, 0.02045074916817765, 0.020451074670333344, 0.020451374032469209, 0.020451648082042913, 0.020451897772529645, 0.020452124164544554, 0.0204523284068804, 0.020452511717794993, 0.020452675366840062, 0.020452820657475963, 0.020452948910668584, 0.020453061449616106, 0.020453159585708182, 0.020453244605776816, 0.020453317760660301, 0.020453380255068487, 0.020453433238709361, 0.020453477798614568, 0.020453514952584302, 0.020453545643659515, 0.020453570735522141, 0.020453591008720066, 0.02045360715761434, 0.020453619787949455, 0.020453629414953167, 0.020453636461881676, 0.02045364125893535, 0.020453644042482469, 0.020453644954541036], [0.020825236167746022, 0.020825225173357838, 0.020825192222102322, 0.020825137409585616, 0.020825060894749208, 0.020824962899271889, 0.020824843706742664, 0.020824703661614333, 0.020824543167950349, 0.020824362687980158, 0.020824162740479806, 0.020823943898997634, 0.02082370678994588, 0.020823452090581153, 0.020823180526897713, 0.02082289287145897, 0.02082258994119315, 0.020822272595179884, 0.020821941732454753, 0.020821598289859123, 0.020821243239962459, 0.020820877589084054, 0.020820502375441211, 0.020820118667449618, 0.020819727562202021, 0.020819330184149921, 0.020818927684012695, 0.020818521237937714, 0.020818112046934123, 0.02081770133660241, 0.020817290357180818, 0.02081688038392893, 0.020816472717867924, 0.02081606868689586, 0.020815669647295504, 0.020815276985650371, 0.020814892121183867, 0.02081451650853347, 0.020814151640969961, 0.020813799054067897, 0.020813460329829499, 0.02081313710125789, 0.020812831057368825, 0.020812543948620008, 0.020812277592725345, 0.020812033880805821, 0.020811814783809474, 0.020811622359108769, 0.020811458757153643, 0.020811326228022047, 0.020811227127665075, 0.020811163923590295, 0.020811139199663181, 0.020811155659631524, 0.020811216128891443, 0.02081132355391482, 0.020811480998648456, 0.020811691637076614, 0.020811958741014429, 0.020812285662076824, 0.020812675806654989, 0.020813132602644394, 0.020813659456622394, 0.02081425970019448, 0.020814936524344886, 0.020815692900874868, 0.020816531490428294, 0.020817454537226707, 0.020818463751498015, 0.020819560181701061, 0.020820744080018081, 0.020822014766163698, 0.020823370496251582, 0.020824808345115971, 0.020826324111893866, 0.02082791225956929, 0.02082956589927424, 0.020831276829156503, 0.020833035635364868, 0.02083483185910915, 0.020836654228968372, 0.020838490952018368, 0.020840330051521101, 0.020842159733605238, 0.020843968761346972, 0.020845746812595968, 0.020847484798189854, 0.020849175119914742, 0.020850811852368221, 0.020852390839111442, 0.020853909700307163, 0.020855367755547551, 0.020856765871023249, 0.020858106244059767, 0.020859392140133246, 0.020860627597844749, 0.020861817116273156, 0.020862965337074546, 0.020864076731129465, 0.020865155296915981, 0.020866204275492708, 0.020867225885309787, 0.020868221079233473, 0.020869189326304119, 0.020870128421918831, 0.020871034332359741, 0.020871901082847102, 0.020872720702481522, 0.020873483244336129, 0.020874176904174337, 0.02087478826613998, 0.020875302707270213, 0.020875704993338053, 0.020875980094378084, 0.02087611423692334, 0.020876096189021212, 0.020875918741545634, 0.020875580304707913, 0.020875086484309958, 0.020874451444691425, 0.020873698816150171, 0.020872861880354015, 0.020871982786750457, 0.020871110632210973, 0.020870298380846239, 0.020869598799058933, 0.020869059798695237, 0.020868719766610675, 0.020868603554641527, 0.02086861339271226, 0.020868642487580087, 0.02086868960306423, 0.020868752750048923, 0.020868829287647644, 0.020868916054228092, 0.020869009519052281, 0.020869105944365314, 0.020869201547793086, 0.020869292655792779, 0.020869375840459659, 0.02086944803399168, 0.020869506617298729, 0.020869549481382407, 0.020869575062018017, 0.020869582349815438, 0.020869570878854653, 0.020869540697776377, 0.020869492327493491, 0.020869426709641259, 0.020869345149581595, 0.020869249257303529, 0.02086914088899304, 0.020869022091445949, 0.020868895050915603, 0.020868762047457554, 0.020868625415376936, 0.020868487510009557, 0.020868350680776204, 0.020868217250235882, 0.020868089498718698, 0.020867969654032106, 0.020867859885695124, 0.020867762303151086, 0.020867678957434205, 0.020867611845807533, 0.020867562918945287, 0.020867534090295292, 0.020867527247323304, 0.020867544264408126, 0.020867587017223053, 0.020867657398504193, 0.020867757335169424, 0.020867888806814235, 0.020868053865672337, 0.020868254658191407, 0.02086849344843968, 0.020868772643627964, 0.020869094822108285, 0.020869462764295108, 0.020869879487054342, 0.020870348282220043, 0.020870872760036914, 0.020871456898492534, 0.020872105099706349, 0.020872822254792037, 0.020873613818919983, 0.020874485898693722, 0.020875445354441514, 0.020876499920640591, 0.020877658348477303, 0.020878930575553126, 0.02088032792904633, 0.020881863370328543, 0.020883551791247037, 0.020885410375202501, 0.020887459040034202, 0.020889720984935228, 0.020892223370676529, 0.020894998172070273, 0.020898083254942468, 0.020901523748530031, 0.020905373810592581, 0.02090969892032471, 0.020914578889071878, 0.020920111859857531, 0.020926419688172111, 0.020933655281793997, 0.020942012765723248, 0.020951741796443896, 0.020963168094892942, 0.020976723511202125, 0.020992991070469171, 0.021012774237874031, 0.02103720661049328, 0.021067931600662476, 0.021107408519212764, 0.021159458459341914, 0.021230292461320251, 0.021330580239050843, 0.0214799664925635, 0.021718006503314458, 0.022134503209136836, 0.022970963313572148, 0.025065969075436748, 0.032785868831148854, 0.066295338061274578, 0.035947952446548685, 0.025088275376771538, 0.022642068975728097, 0.021784241335654042, 0.021396995721011908, 0.021193143265924079, 0.021074272397127624, 0.020999728885806087, 0.020950380427667604, 0.020916315858635692, 0.020892008318969819, 0.020874190716961533, 0.020860838223565169, 0.020850645859808829, 0.020842744494601689, 0.020836538882462546, 0.020831611466801816, 0.020827663212260237, 0.02082447609140093, 0.02082188866097516, 0.020819779785113839, 0.020818057562945278, 0.020816651659901628, 0.020815507913359569, 0.020814584488757754, 0.020813849113305926, 0.020813277073313714, 0.020812849764020997, 0.020812553648886994, 0.020812379531481722, 0.020812322075436023, 0.020812379531481719, 0.020812553648886994, 0.020812849764021001, 0.020813277073313718, 0.020813849113305933, 0.020814584488757747, 0.020815507913359569, 0.020816651659901628, 0.020818057562945278, 0.020819779785113846, 0.020821888660975153, 0.020824476091400933, 0.020827663212260226, 0.020831611466801816, 0.020836538882462542, 0.020842744494601689, 0.020850645859808826, 0.020860838223565159, 0.020874190716961536, 0.020892008318969823, 0.020916315858635705, 0.020950380427667621, 0.020999728885806111, 0.021074272397127579, 0.021193143265924166, 0.021396995721012033, 0.021784241335654368, 0.022642068975728159, 0.025088275376771631, 0.035947952446552515, 0.066295338061273065, 0.032785868831155286, 0.025065969075435839, 0.022970963313572464, 0.022134503209136812, 0.021718006503314746, 0.021479966492563517, 0.021330580239050843, 0.021230292461320258, 0.021159458459341959, 0.021107408519212806, 0.021067931600662483, 0.021037206610493277, 0.021012774237874017, 0.020992991070469189, 0.020976723511202135, 0.020963168094892945, 0.0209517417964439, 0.020942012765723252, 0.020933655281794, 0.020926419688172115, 0.020920111859857538, 0.020914578889071878, 0.020909698920324717, 0.020905373810592584, 0.020901523748530024, 0.020898083254942461, 0.020894998172070266, 0.020892223370676533, 0.020889720984935235, 0.020887459040034206, 0.020885410375202505, 0.02088355179124704, 0.020881863370328539, 0.020880327929046334, 0.020878930575553123, 0.02087765834847731, 0.020876499920640584, 0.02087544535444151, 0.020874485898693722, 0.020873613818919976, 0.020872822254792037, 0.020872105099706342, 0.020871456898492534, 0.020870872760036911, 0.020870348282220043, 0.020869879487054346, 0.020869462764295112, 0.020869094822108282, 0.020868772643627971, 0.020868493448439676, 0.02086825465819141, 0.020868053865672337, 0.020867888806814235, 0.020867757335169424, 0.020867657398504196, 0.020867587017223049, 0.020867544264408126, 0.020867527247323304, 0.020867534090295292, 0.02086756291894528, 0.020867611845807536, 0.020867678957434205, 0.020867762303151086, 0.020867859885695127, 0.020867969654032113, 0.020868089498718694, 0.020868217250235889, 0.020868350680776207, 0.02086848751000956, 0.020868625415376943, 0.020868762047457554, 0.020868895050915603, 0.020869022091445949, 0.020869140888993037, 0.020869249257303529, 0.020869345149581595, 0.020869426709641252, 0.020869492327493494, 0.020869540697776381, 0.020869570878854656, 0.020869582349815424, 0.02086957506201801, 0.0208695494813824, 0.020869506617298725, 0.020869448033991676, 0.020869375840459659, 0.020869292655792775, 0.020869201547793082, 0.020869105944365317, 0.020869009519052278, 0.020868916054228089, 0.02086882928764764, 0.02086875275004892, 0.020868689603064233, 0.020868642487580084, 0.020868613392712256, 0.020868603554641523, 0.020868608481958907, 0.020868623152545934, 0.020868647235272066, 0.020868680188021932, 0.020868721271956523, 0.020868769570716737, 0.020868824013857468, 0.020868883403663656, 0.020868946444407687, 0.020869011773060862, 0.02086907799047159, 0.020869143692065811, 0.020869207497205975, 0.020869268076455696, 0.020869324176130296, 0.020869374639659877, 0.020869418425442435, 0.020869454621012699, 0.020869482453490136, 0.020869501296393297, 0.020869510673011869, 0.020869510256611986, 0.020869499867812728, 0.020869479469513404, 0.020869449159773252, 0.020869409163050284, 0.020869359820196366, 0.020869301577583974, 0.02086923497571028, 0.020869160637587432, 0.020869079257188224, 0.020868991588174644, 0.020868898433095751, 0.020868800633201668, 0.020868699058983926, 0.020868594601518776, 0.020868488164661102, 0.020868380658110842, 0.020868272991352802, 0.020868166068453427, 0.020868060783684389, 0.020867958017932352, 0.020867858635847402, 0.020867763483677151, 0.020867673387731607, 0.020867589153422527, 0.020867511564822108, 0.0208674413846874, 0.020867379354899747, 0.020867326197271906, 0.020867282614679347, 0.020867249292476384, 0.0208672269001621, 0.020867216093265431, 0.020867217515422917, 0.020867231800627155, 0.020867259575627767, 0.020867301462471049, 0.020867358081167811, 0.020867430052482924, 0.020867518000843539, 0.020867622557366027, 0.020867744363005418, 0.020867884071833813, 0.020868042354457918, 0.020868219901588478, 0.020868417427778157, 0.020868635675347243, 0.020868875418520325, 0.020869137467800655, 0.020869422674612986, 0.020869731936249705, 0.020870066201160286, 0.020870426474628969, 0.020870813824891647, 0.02087122938974981, 0.020871674383746583, 0.020872150105979013, 0.020872657948630389, 0.020873199406317905, 0.020873776086364263, 0.020874389720116866, 0.020875042175456333, 0.020875735470656399, 0.020876471789781869, 0.020877253499838894, 0.020878083169926013, 0.020878963592672682, 0.020879897808298794, 0.020880889131683195, 0.020881941182894458, 0.020883057921714528, 0.020884243686778731, 0.02088550324006672, 0.020886841817612984, 0.020888265187466865, 0.020889779716128629, 0.020891392444926184, 0.020893111178089108, 0.020894944584634353, 0.020896902316619028, 0.020898995146862043, 0.020901235129916054, 0.020903635790920614, 0.020906212348036086, 0.020908981975507453, 0.020911964116123432, 0.020915180854031198, 0.020918657361690986, 0.020922422438414953, 0.0209265091627092, 0.020930955686914585, 0.020935806210958328, 0.020941112183137645, 0.020946933790831491, 0.020953341824408733, 0.020960420025596952, 0.020968268070460143, 0.020977005391757404, 0.020986776123136895, 0.020997755559546784, 0.021010158691816116, 0.021024251616076482, 0.021040366984872699, 0.021058925229281999, 0.021080464162506519, 0.021105680985848217, 0.021135493029887313, 0.021267209913934791, 0.021526946597983092, 0.022169060169394104, 0.024656344352867527, 0.057288964194165626, 0.029979833557025479, 0.022514470872683091, 0.021454498434956379, 0.021132428660912011, 0.020997430861293978, 0.020929816358757989, 0.020891887921812985, 0.020868872882352708, 0.020854075102013227, 0.020844125081717346, 0.020837188140448108, 0.020832201654494641, 0.020828518789595657, 0.02082572938457531, 0.020823564351439446, 0.020821842076611259, 0.02082043713072786, 0.020819261411140211, 0.020818252538320717, 0.020817366707040846, 0.020816574477817353, 0.020815858758255985, 0.020815214772208223, 0.020814652358824504, 0.020814201722483477, 0.020813925193956084, 0.020813940631912338, 0.020814469292811718, 0.020815939457357466, 0.020819229491281694, 0.020826302690587769, 0.020842127208067933, 0.020881844510395202, 0.021008150113130626, 0.021703133265171384, 0.046142144669623825, 0.022538142654469635, 0.021302131558210431, 0.021060248343788984, 0.02097023652615021, 0.020925788566006718, 0.020899993655186102, 0.02088336304801584, 0.020871812951028988, 0.020863332828731228, 0.020856831850796273, 0.020851673017087409, 0.020847462321004612, 0.020843944555955396, 0.020840948076770574, 0.020838353782269087, 0.020836076842691266, 0.020834055488321603, 0.020832243885815463, 0.020830607472111975, 0.020829119815411228, 0.020827760452962512, 0.020826513369999484, 0.020825365909325322, 0.020824307976240915, 0.020823331449883138, 0.020822429741328717, 0.020821597457719603, 0.02082083014410311, 0.02082012408301194, 0.020819476137484135, 0.020818883627145901, 0.020818344229732017, 0.020817855902372763, 0.020817416818382471, 0.020817025316307775, 0.020816679858746481, 0.020816378999007734, 0.020816121354104416, 0.020815905582888469, 0.020815730368383661, 0.020815594403559973, 0.020815496379941182, 0.020815434978553975, 0.02081540886281906, 0.020815416673059244, 0.020815457022359461, 0.020815528493562344, 0.020815629637223231, 0.020815758970381293, 0.020815914976030969, 0.020816096103200347, 0.020816300767562211, 0.020816527352518703, 0.020816774210713849, 0.020817039665938324, 0.020817322015399563, 0.020817619532337107, 0.020817930468967828, 0.020818253059749887, 0.020818585524956395, 0.020818926074551155, 0.02081927291235924, 0.020819624240524446, 0.02081997826424415, 0.02082033319677009, 0.020820687264660614, 0.02082103871326673, 0.020821385812430527, 0.020821726862370493, 0.020822060199724109, 0.020822384203713667, 0.02082269730239741, 0.020822997978963573, 0.020823284778021707, 0.020823556311842122, 0.020823811266491601, 0.020824048407811858, 0.020824266587185218, 0.020824464747032492, 0.020824641925987781, 0.020824797263696532, 0.020824930005185895, 0.020825039504759175, 0.020825125229370876, 0.020825186761443758, 0.020825223801095076, 0.020825236167746022, 0.020825227922440927, 0.020825203216289855, 0.020825162138491938, 0.020825104837402068, 0.020825031520067538, 0.020824942451584082, 0.020824837954275845, 0.020824718406704933, 0.020824584242517537, 0.020824435949134388, 0.020824274066294422, 0.02082409918446116, 0.020823911943102111, 0.020823713028851696, 0.020823503173569038, 0.02082328315230177, 0.020823053781167045, 0.020822815915161372, 0.020822570445909797, 0.020822318299365372, 0.020822060433468625, 0.020821797835776597, 0.020821531521069841, 0.020821262528944916, 0.020820991921398913, 0.020820720780411382, 0.020820450205527686, 0.02082018131144657, 0.020819915225613207, 0.020819653085817829, 0.020819396037797953, 0.020819145232841434, 0.02081890182538532, 0.02081866697060444, 0.020818441821981833, 0.020818227528851565, 0.020818025233903335, 0.02081783607063643, 0.02081766116074962, 0.020817501611452089, 0.02081735851267966, 0.020817232934199518, 0.020817125922585909, 0.020817038498048956, 0.020816971651098491, 0.020816926339025054, 0.020816903482180626, 0.020816903960043008, 0.020816928607049087, 0.020816978208184633, 0.020817053494321201, 0.020817155137294305, 0.020817283744721811, 0.020817439854567112, 0.020817623929458063, 0.020817836350780824, 0.020818077412576415, 0.020818347315278266, 0.020818646159340412, 0.020818973938818486, 0.020819330534979752, 0.020819715710032733, 0.020820129101082406, 0.020820570214432607, 0.020821038420372636, 0.020821532948599706, 0.020822052884442235, 0.020822597166059807, 0.020823164582803474, 0.020823753774923542, 0.020824363234810614, 0.020824991309947312, 0.020825636207733519, 0.020826296002324884, 0.020826968643592771, 0.020827651968274154, 0.020828343713331591, 0.020829041531487541, 0.020829743008835801, 0.020830445684365841, 0.020831147071168801, 0.020831844679026136, 0.020832536038019506, 0.020833218722745517, 0.020833890376674224, 0.020834548736160377, 0.020835191653601471, 0.020835817119240613, 0.02083642328113413, 0.020837008462843983, 0.020837571178472347, 0.020838110144727206, 0.020838624289790927, 0.020839112758854042, 0.020839574916270576, 0.02084001034438384, 0.020840418839159734, 0.02084080040284364, 0.020841155233924668, 0.020841483714744855, 0.020841786397129566, 0.020842063986438709, 0.020842317324446184, 0.020842547371449457, 0.020842755187992446, 0.020842941916556612, 0.020843108763538263, 0.020843256981788124, 0.02084338785394324, 0.020843502676734613, 0.020843602746407713, 0.020843689345348738, 0.020843763729968927, 0.020843827119862768, 0.020843880688224257, 0.02084392555347906, 0.020843962772069038, 0.020843993332309626, 0.020844018149229041, 0.020844038060291555, 0.020844053821903869, 0.020844066106604525, 0.02084407550083972, 0.020844082503234912, 0.020844087523280336, 0.020844090880358154, 0.020844092803050489, 0.020844093428680401], [0.020862519136072493, 0.020862508992504625, 0.020862478591993094, 0.020862428024999699, 0.020862357441914475, 0.02086226705249096, 0.02086215712506545, 0.020862027985569492, 0.020861880016347683, 0.02086171365479551, 0.02086152939183317, 0.020861327770234604, 0.020861109382831533, 0.020860874870614637, 0.020860624920754856, 0.020860360264569059, 0.020860081675455101, 0.02085978996682171, 0.02085948599003927, 0.020859170632437477, 0.020858844815376018, 0.020858509492413864, 0.020858165647603014, 0.020857814293931416, 0.020857456471939591, 0.020857093248534887, 0.020856725716026189, 0.020856354991401743, 0.020855982215871465, 0.020855608554694597, 0.020855235197312694, 0.020854863357807077, 0.020854494275698854, 0.020854129217108924, 0.02085376947629386, 0.020853416377572525, 0.020853071277656371, 0.020852735568394492, 0.020852410679941712, 0.020852098084354519, 0.020851799299615333, 0.0208515158940797, 0.020851249491333611, 0.02085100177543877, 0.02085077449653143, 0.020850569476725027, 0.020850388616248113, 0.020850233899724867, 0.020850107402476215, 0.020850011296683898, 0.020849947857216111, 0.020849919466861221, 0.020849928620654368, 0.020849977928909379, 0.020850070118484866, 0.020850208031719261, 0.020850394622364404, 0.020850632947735242, 0.020850926156175884, 0.020851277468827954, 0.020851690154584344, 0.020852167497033367, 0.020852712752163667, 0.020853329095631132, 0.020854019558515239, 0.020854786950744754, 0.020855633771790342, 0.020856562108835717, 0.020857573523482872, 0.020858668929132247, 0.020859848462498328, 0.020861111354229953, 0.020862455805209262, 0.020863878876657711, 0.020865376403474391, 0.020866942941020532, 0.020868571755568194, 0.02087025486759634, 0.020871983154864829, 0.020873746518683907, 0.020875534112174628, 0.020877334623951894, 0.020879136605128797, 0.020880928822547218, 0.020882700617418343, 0.020884442246722972, 0.020886145185144412, 0.020887802368012326, 0.020889408360392506, 0.02089095944343014, 0.020892453615529143, 0.02089389051209066, 0.020895271252631333, 0.020896598227678545, 0.020897874839704223, 0.020899105212586915, 0.020900293882969372, 0.020901445484823308, 0.020902564436003149, 0.020903654633006977, 0.020904719157942127, 0.020905760000111608, 0.020906777793917069, 0.02090777157507262, 0.020908738558558095, 0.020909673944391954, 0.020910570761222522, 0.020911419762910877, 0.020912209399590504, 0.020912925891823531, 0.020913553443798683, 0.020914074637929669, 0.020914471056975241, 0.020914724178408568, 0.020914816575936208, 0.02091473344100379, 0.020914464399170309, 0.020914005540140342, 0.020913361507082631, 0.020912547407360343, 0.020911590227440841, 0.02091052938242214, 0.020909416034109743, 0.02090831089866824, 0.020907280450897351, 0.020906391706981525, 0.02090570608649743, 0.020905273140775147, 0.020905125097794002, 0.020905138555922322, 0.020905178373603023, 0.020905242911023192, 0.020905329533714462, 0.020905434752106215, 0.020905554401327978, 0.020905683847820745, 0.020905818208150923, 0.020905952565690056, 0.020906082172358592, 0.020906202625119729, 0.020906310009967677, 0.020906401009385706, 0.020906472972308181, 0.020906523948240947, 0.020906552689215336, 0.020906558624608017, 0.020906541814574582, 0.02090650288799896, 0.020906442970573067, 0.020906363608019625, 0.020906266688682219, 0.02090615436883804, 0.020906029003225753, 0.0209058930824834, 0.020905749178497586, 0.020905599898092996, 0.020905447845044244, 0.020905295590063305, 0.020905145648191993, 0.020905000462893505, 0.020904862396072504, 0.02090473372324396, 0.020904616633100011, 0.020904513230782136, 0.020904425544239606, 0.020904355533138925, 0.020904305099876175, 0.02090427610233055, 0.020904270368081228, 0.020904289709888925, 0.020904335942317824, 0.02090441089944348, 0.020904516453658008, 0.020904654535647282, 0.020904827155676358, 0.020905036426382046, 0.02090528458733594, 0.020905574031711029, 0.020905907335462024, 0.020906287289517145, 0.020906716935581212, 0.020907199606270865, 0.020907738970448307, 0.020908339084797032, 0.020909004452900285, 0.020909740093352416, 0.020910551618768387, 0.020911445327977646, 0.020912428314219252, 0.020913508592829432, 0.020914695252773719, 0.020915998637483509, 0.020917430561890146, 0.020919004574418695, 0.020920736275157989, 0.020922643704672981, 0.02092474782226272, 0.020927073098308741, 0.020929648253300046, 0.020932507187026647, 0.020935690156571096, 0.020939245282982844, 0.020943230496734681, 0.020947716075584894, 0.020952787992067273, 0.020958552382212312, 0.020965141589531881, 0.020972722457202952, 0.020981507884604685, 0.02099177321442456, 0.021003879919676161, 0.021018310583069185, 0.021035721807780131, 0.021057026454512195, 0.021083525476446627, 0.021117126925319092, 0.021160725150218863, 0.02121889018975304, 0.021299196425230392, 0.021414972000519891, 0.021591515712218907, 0.021881848336737397, 0.022413154163721354, 0.023556092625193873, 0.02677019717899707, 0.041004291785304153, 0.060846370149765697, 0.029918611750637439, 0.023948206751754166, 0.022315557491568685, 0.021675267031203996, 0.021366227274580527, 0.021196170707860753, 0.021093810675929223, 0.021028059151234076, 0.020983694685837218, 0.020952589295053312, 0.020930100180229821, 0.020913428520519303, 0.020900811144268491, 0.02089109586294826, 0.020883506117680535, 0.020877504540909669, 0.020872710764423076, 0.020868850237954359, 0.020865721425849235, 0.020863174245142325, 0.020861095575220659, 0.020859399329237902, 0.020858019536292755, 0.020856905453307248, 0.020856018073215979, 0.020855327613339573, 0.020854811706742343, 0.020854454110292339, 0.020854243804173476, 0.020854174399868156, 0.020854243804173469, 0.020854454110292336, 0.02085481170674235, 0.020855327613339563, 0.020856018073215986, 0.020856905453307244, 0.020858019536292755, 0.020859399329237908, 0.020861095575220659, 0.020863174245142335, 0.020865721425849231, 0.020868850237954366, 0.020872710764423069, 0.020877504540909662, 0.020883506117680532, 0.02089109586294826, 0.020900811144268495, 0.020913428520519292, 0.020930100180229831, 0.020952589295053316, 0.020983694685837231, 0.021028059151234103, 0.021093810675929251, 0.021196170707860704, 0.021366227274580665, 0.021675267031204211, 0.022315557491569282, 0.023948206751754329, 0.029918611750637827, 0.060846370149773454, 0.041004291785301607, 0.026770197178999498, 0.023556092625193419, 0.022413154163721534, 0.021881848336737397, 0.021591515712219119, 0.021414972000519908, 0.021299196425230385, 0.021218890189753044, 0.021160725150218895, 0.021117126925319127, 0.021083525476446624, 0.021057026454512195, 0.021035721807780128, 0.021018310583069202, 0.021003879919676165, 0.020991773214424563, 0.020981507884604688, 0.020972722457202952, 0.020965141589531888, 0.020958552382212312, 0.02095278799206728, 0.020947716075584887, 0.020943230496734695, 0.020939245282982844, 0.020935690156571096, 0.020932507187026644, 0.020929648253300039, 0.020927073098308737, 0.020924747822262727, 0.020922643704672981, 0.020920736275157982, 0.020919004574418691, 0.02091743056189015, 0.020915998637483512, 0.020914695252773716, 0.020913508592829443, 0.020912428314219259, 0.020911445327977646, 0.02091055161876838, 0.020909740093352419, 0.020909004452900285, 0.020908339084797029, 0.020907738970448311, 0.020907199606270865, 0.020906716935581219, 0.020906287289517152, 0.020905907335462028, 0.020905574031711019, 0.02090528458733594, 0.020905036426382046, 0.020904827155676355, 0.020904654535647278, 0.020904516453658012, 0.020904410899443483, 0.020904335942317824, 0.020904289709888918, 0.020904270368081231, 0.020904276102330553, 0.020904305099876178, 0.020904355533138918, 0.020904425544239602, 0.020904513230782136, 0.020904616633100014, 0.020904733723243963, 0.020904862396072501, 0.020905000462893498, 0.020905145648192, 0.020905295590063305, 0.020905447845044244, 0.020905599898093003, 0.020905749178497586, 0.0209058930824834, 0.020906029003225753, 0.02090615436883804, 0.020906266688682219, 0.020906363608019618, 0.020906442970573057, 0.02090650288799896, 0.020906541814574589, 0.020906558624608024, 0.020906552689215329, 0.020906523948240951, 0.020906472972308177, 0.020906401009385709, 0.020906310009967673, 0.020906202625119732, 0.020906082172358592, 0.020905952565690066, 0.02090581820815092, 0.020905683847820745, 0.020905554401327971, 0.020905434752106218, 0.020905329533714462, 0.020905242911023195, 0.020905178373603027, 0.020905138555922319, 0.020905125097793999, 0.020905131837896537, 0.020905151910815295, 0.020905184878477225, 0.020905230024238254, 0.020905286372523247, 0.020905352715203759, 0.020905427643674129, 0.020905509585394038, 0.02090559684354153, 0.020905687638366231, 0.020905780148848502, 0.020905872553349379, 0.020905963068069803, 0.020906049982313532, 0.020906131689752059, 0.020906206715109239, 0.020906273735903938, 0.020906331599100117, 0.020906379332705664, 0.020906416152527262, 0.020906441464423938, 0.020906454862505718, 0.020906456123794319, 0.020906445199904467, 0.02090642220631762, 0.020906387409811163, 0.020906341214578111, 0.020906284147530055, 0.02090621684322494, 0.020906140028802953, 0.020906054509253952, 0.020905961153280077, 0.020905860879959763, 0.020905754646366341, 0.020905643436246398, 0.020905528249821274, 0.020905410094738994, 0.020905289978174074, 0.020905168900048805, 0.020905047847330972, 0.020904927789348653, 0.02090480967405391, 0.02090469442516053, 0.020904582940078322, 0.020904476088566142, 0.020904374712026979, 0.020904279623371873, 0.02090419160738332, 0.020904111421513868, 0.020904039797061135, 0.020903977440666091, 0.020903925036087439, 0.02090388324621063, 0.020903852715255678, 0.020903834071153534, 0.020903827928065864, 0.020903834889027827, 0.02090385554869836, 0.020903890496206359, 0.020903940318085606, 0.020904005601294622, 0.020904086936321391, 0.020904184920376281, 0.020904300160679522, 0.020904433277852699, 0.02090458490942701, 0.020904755713483623, 0.020904946372444978, 0.020905157597038686, 0.020905390130459191, 0.020905644752755911, 0.020905922285480175, 0.020906223596627881, 0.020906549605918954, 0.020906901290460349, 0.02090727969084491, 0.020907685917744993, 0.020908121159067806, 0.020908586687747411, 0.020909083870258839, 0.020909614175951108, 0.020910179187309037, 0.020910780611269636, 0.020911420291736336, 0.020912100223455632, 0.020912822567445019, 0.020913589668189937, 0.020914404072861142, 0.020915268552843886, 0.020916186127917104, 0.020917160093476914, 0.02091819405126482, 0.020919291944140387, 0.020920458095532467, 0.020921697254317296, 0.020923014646007911, 0.020924416031305688, 0.020925907773264946, 0.020927496914566607, 0.020929191266696141, 0.020930999513188258, 0.020932931329554823, 0.020934997523074008, 0.020937210196318942, 0.020939582939180273, 0.020942131055239392, 0.020944871829743975, 0.020947824848212795, 0.020951012376969502, 0.020954459819834022, 0.020958196268999797, 0.020962255173089795, 0.020966675151919443, 0.020971500996166379, 0.020976784901750679, 0.020982588004394818, 0.020988982301184254, 0.02099605307534564, 0.02100390198136886, 0.021012651005193221, 0.021022447596264853, 0.021033471386838178, 0.021045943087613341, 0.021060136407301647, 0.021076394234878466, 0.02109515092610947, 0.021116963483679696, 0.021142555943224898, 0.021253347248777824, 0.021462779178753742, 0.021943390741453041, 0.02352633621370781, 0.036453097176604485, 0.040885924605903415, 0.023326780614786449, 0.021679478356271271, 0.021243692948497137, 0.021072599771809253, 0.020990004792565777, 0.020944705790108264, 0.020917608606182105, 0.020900343654274883, 0.020888799282565394, 0.02088077636755967, 0.020875018501970526, 0.020870769021138755, 0.020867552186691122, 0.020865058044614328, 0.020863078615754243, 0.020861471001076104, 0.020860135324236511, 0.020859001250491057, 0.020858019729455161, 0.020857158160637983, 0.020856398092625197, 0.020855735213678124, 0.020855182028991368, 0.020854774533450082, 0.020854585889379277, 0.020854753781926139, 0.020855536827390372, 0.020857438079222117, 0.020861499313687245, 0.020870086757444159, 0.020889344034234408, 0.020938811388944767, 0.02110610046054593, 0.022214058276092252, 0.043173271579680282, 0.022090049242790413, 0.021265605515569271, 0.02107293341591962, 0.020996261818238937, 0.020957046823960764, 0.02093379156835044, 0.0209185768391906, 0.020907896806934039, 0.020899991167506356, 0.020893890931642456, 0.020889023964320384, 0.020885033299688355, 0.020881686111317427, 0.020878824917082688, 0.020876339930939736, 0.020874152651883537, 0.020872205730288727, 0.020870456493738254, 0.02086887268626687, 0.020867429590153416, 0.020866108036140571, 0.020864892999152607, 0.020863772588703217, 0.020862737310860094, 0.020861779520549593, 0.020860893009559265, 0.020860072692803985, 0.020859314366780058, 0.020858614521762915, 0.020857970194514342, 0.020857378851876468, 0.020856838298167247, 0.020856346601099082, 0.02085590203224363, 0.020855503019015457, 0.020855148105846006, 0.020854835922740778, 0.020854565159804193, 0.020854334546614711, 0.020854142835561199, 0.020853988788428722, 0.020853871165660107, 0.020853788717829377, 0.020853740178949531, 0.020853724261307414, 0.020853739651574933, 0.020853785007991611, 0.020853858958451751, 0.020853960099360382, 0.020854086995148118, 0.020854238178356674, 0.020854412150224263, 0.020854607381715518, 0.020854822314952122, 0.020855055365011085, 0.020855304922064891, 0.02085556935384509, 0.020855847008414911, 0.020856136217240612, 0.020856435298553626, 0.020856742560996323, 0.020857056307545262, 0.020857374839704675, 0.02085769646196154, 0.020858019486492043, 0.020858342238105919, 0.020858663059412478, 0.020858980316188314, 0.020859292402922964, 0.020859597748514681, 0.020859894822084505, 0.020860182138872696, 0.020860458266177724, 0.02086072182929468, 0.020860971517406502, 0.020861206089379088, 0.020861424379409469, 0.020861625302474446, 0.020861807859527345, 0.020861971142390617, 0.020862114338293113, 0.020862236734003677, 0.020862337719515203, 0.020862416791237855, 0.020862473554664546, 0.020862507726477731, 0.020862519136072493, 0.020862511528852268, 0.020862488735303452, 0.020862450839673218, 0.020862397982079901, 0.020862330358074565, 0.020862248218031808, 0.020862151866373805, 0.020862041660633188, 0.020861918010361233, 0.020861781375888684, 0.020861632266947597, 0.020861471241163256, 0.020861298902425576, 0.020861115899150393, 0.020860922922440701, 0.020860720704158849, 0.020860510014919901, 0.020860291662017076, 0.020860066487289337, 0.02085983536494106, 0.020859599199323092, 0.020859358922683979, 0.020859115492899157, 0.020858869891185176, 0.020858623119804739, 0.020858376199767756, 0.020858130168531653, 0.02085788607770379, 0.020857644990746559, 0.020857407980685343, 0.020857176127817158, 0.020856950517417039, 0.020856732237437444, 0.020856522376194498, 0.020856322020033669, 0.020856132250965592, 0.020855954144262133, 0.020855788766000589, 0.020855637170543471, 0.020855500397939892, 0.020855379471233431, 0.020855275393661079, 0.020855189145726788, 0.020855121682133045, 0.02085507392855384, 0.020855046778232612, 0.020855041088389505, 0.020855057676423275, 0.020855097315895035, 0.020855160732283152, 0.020855248598501467, 0.020855361530176947, 0.020855500080687026, 0.020855664735962721, 0.02085585590906975, 0.020856073934587466, 0.020856319062814072, 0.020856591453836292, 0.020856891171512529, 0.020857218177430577, 0.020857572324913767, 0.020857953353163469, 0.020858360881639774, 0.020858794404797206, 0.020859253287306315, 0.02085973675990558, 0.020860243916040473, 0.020860773709455865, 0.020861324952915393, 0.020861896318223595, 0.020862486337724848, 0.020863093407444588, 0.020863715792023486, 0.020864351631572773, 0.02086499895054823, 0.020865655668701841, 0.020866319614123822, 0.020866988538334141, 0.020867660133323675, 0.020868332050382094, 0.020869001920485158, 0.02086966737595055, 0.020870326073012913, 0.020870975714916879, 0.02087161407508592, 0.020872239019897761, 0.020872848530584433, 0.020873440723780549, 0.020874013870265922, 0.020874566411488573, 0.020875096973510331, 0.020875604378086554, 0.020876087650671435, 0.020876546025227653, 0.020876978945808373, 0.02087738606496824, 0.020877767239143148, 0.020878122521213561, 0.020878452150529275, 0.020878756540723666, 0.020879036265681071, 0.020879292044041483, 0.020879524722633304, 0.020879735259217495, 0.020879924704908129, 0.020880094186605844, 0.020880244889744878, 0.020880378041613447, 0.020880494895463071, 0.020880596715577623, 0.020880684763428293, 0.020880760284999064, 0.020880824499327991, 0.020880878588275573, 0.020880923687501267, 0.020880960878604644, 0.02088099118236738, 0.020881015553017555, 0.020881034873427282, 0.020881049951148142, 0.020881061515186691, 0.02088107021342293, 0.020881076610578767, 0.020881081186648782, 0.020881084335714652, 0.02088108636507369, 0.020881087494623259, 0.020881087856454688], [0.020889988098494489, 0.02088997882249399, 0.020889951022942478, 0.020889904785082559, 0.020889840250628493, 0.020889757617235775, 0.020889657137767866, 0.020889539119369107, 0.020889403922355346, 0.02088925195893624, 0.020889083691784847, 0.020888899632472428, 0.020888700339787854, 0.020888486417962572, 0.020888258514823007, 0.020888017319893846, 0.020887763562475854, 0.020887498009722661, 0.020887221464741309, 0.020886934764741346, 0.020886638779257435, 0.020886334408469761, 0.020886022581646867, 0.020885704255734362, 0.020885380414112899, 0.020885052065547974, 0.020884720243353198, 0.020884386004788591, 0.020884050430713844, 0.020883714625516414, 0.020883379717333134, 0.020883046858583151, 0.020882717226829314, 0.020882392025983958, 0.020882072487873833, 0.020881759874177598, 0.020881455478747698, 0.020881160630326048, 0.020880876695660546, 0.020880605083025642, 0.020880347246145965, 0.020880104688515942, 0.02087987896810117, 0.020879671702397636, 0.02087948457381299, 0.020879319335318856, 0.020879177816304398, 0.020879061928537817, 0.020878973672113697, 0.020878915141229172, 0.02087888852958919, 0.020878896135190846, 0.020878940364176656, 0.020879023733377064, 0.020879148871082078, 0.020879318515491834, 0.020879535510196147, 0.020879802795926532, 0.020880123397714809, 0.020880500406486036, 0.020880936954020206, 0.020881436180149489, 0.020882001191033235, 0.020882635007394471, 0.02088334050173524, 0.020884120323806689, 0.020884976814025891, 0.02088591190513785, 0.020886927013244763, 0.020888022920376993, 0.020889199652049276, 0.020890456354686171, 0.020891791179319913, 0.020893201179417144, 0.020894682231881283, 0.020896228990962062, 0.020897834884725529, 0.020899492162657848, 0.020901192000735747, 0.020902924666867589, 0.020904679745148654, 0.020906446412245681, 0.020908213753981504, 0.02090997110550516, 0.020911708394997407, 0.020913416469246469, 0.020915087379964913, 0.020916714612409751, 0.020918293242381428, 0.020919820013395967, 0.020921293331972412, 0.020922713184761382, 0.020924080985995214, 0.020925399367023499, 0.020926671921338773, 0.020927902918576605, 0.020929096999770511, 0.020930258864056122, 0.020931392954488481, 0.020932503148086097, 0.020933592453009523, 0.020934662714219416, 0.02093571432827325, 0.02093674596830335, 0.020937754321839114, 0.020938733847154774, 0.020939676558392947, 0.020940571855959687, 0.020941406426641867, 0.020942164247411403, 0.020942826737444607, 0.020943373113418814, 0.020943781011721809, 0.020944027444757683, 0.020944090152670673, 0.020943949390912885, 0.020943590151929387, 0.020943004750506033, 0.020942195605270025, 0.020941177928996114, 0.020939981914707608, 0.020938653904118358, 0.020937255993385591, 0.02093586361594375, 0.020934560877505528, 0.02093343380218873, 0.020932562124000097, 0.02093201071006218, 0.02093182198465882, 0.02093184017634785, 0.020931894002501766, 0.02093198125938657, 0.020932098413739639, 0.020932240799642517, 0.020932402870608054, 0.02093257848680749, 0.020932761215922715, 0.020932944626908628, 0.020933122558656366, 0.020933289349617391, 0.020933440019232925, 0.0209335703968845, 0.020933677198511431, 0.020933758054659798, 0.020933811496341142, 0.020933836906649603, 0.020933834446705685, 0.020933804964328728, 0.020933749893100682, 0.020933671148376586, 0.020933571025513062, 0.02093345210427348, 0.02093331716213831, 0.020933169098169377, 0.020933010868183496, 0.020932845431293253, 0.020932675707359853, 0.020932504544555759, 0.020932334696025224, 0.020932168804531383, 0.02093200939396251, 0.020931858866613761, 0.020931719505243654, 0.020931593479012193, 0.020931482852526367, 0.020931389597340533, 0.020931315605379017, 0.020931262703859373, 0.020931232671399801, 0.020931227255087108, 0.020931248188367307, 0.020931297209697219, 0.020931376081965058, 0.020931486612752275, 0.020931630675569482, 0.020931810232258739, 0.020932027356814101, 0.020932284260935803, 0.020932583321701698, 0.020932927111817452, 0.020933318432996447, 0.020933760353125844, 0.020934256248002731, 0.020934809848577832, 0.020935425294833634, 0.02093610719765698, 0.020936860710356931, 0.020937691611841783, 0.020938606403926811, 0.020939612425823515, 0.020940717989598432, 0.020941932541334987, 0.020943266853950218, 0.02094473325920046, 0.020946345928479122, 0.020948121214734806, 0.020950078071458544, 0.020952238569537061, 0.020954628539322756, 0.020957278374214908, 0.02096022404437857, 0.020963508386419354, 0.020967182759083561, 0.020971309189696755, 0.020975963186223336, 0.020981237463558521, 0.020987246942751503, 0.02099413554910496, 0.021002085594009338, 0.021011330934551469, 0.021022175766437903, 0.02103502200233158, 0.021050410056785734, 0.021069081145559474, 0.021092075192352337, 0.021120889777768409, 0.02115774805794126, 0.021206070597471243, 0.021271350591846538, 0.021362882015240014, 0.021497443885024434, 0.02170795059450192, 0.022066474140846087, 0.022756843291899458, 0.024366284998920597, 0.029565733196397076, 0.055181854529926889, 0.044807571084695998, 0.026847778867860835, 0.02324491217665757, 0.022090444454308588, 0.021595105858292264, 0.021342245799218399, 0.02119766435047923, 0.021108158478262199, 0.021049404537186452, 0.02100906659075499, 0.020980374979559985, 0.020959377129404832, 0.020943646987827774, 0.020931632941628638, 0.02092230790982039, 0.020914971930266337, 0.020909135954208923, 0.020904450910507986, 0.020900663020164897, 0.020897584864577941, 0.020895076198929715, 0.020893030958888406, 0.020891368300652829, 0.020890026327454222, 0.020888957643965148, 0.020888126180939499, 0.02088750492231788, 0.020887074289828975, 0.020886821021619401, 0.020886737437284801, 0.020886821021619401, 0.020887074289828965, 0.020887504922317883, 0.020888126180939499, 0.020888957643965159, 0.020890026327454216, 0.020891368300652836, 0.020893030958888413, 0.020895076198929715, 0.020897584864577951, 0.020900663020164897, 0.02090445091050799, 0.020909135954208916, 0.020914971930266341, 0.020922307909820383, 0.020931632941628631, 0.020943646987827771, 0.020959377129404821, 0.020980374979559992, 0.021009066590754997, 0.021049404537186463, 0.021108158478262241, 0.021197664350479269, 0.02134224579921833, 0.021595105858292472, 0.02209044445430898, 0.02324491217665877, 0.026847778867861233, 0.044807571084696983, 0.055181854529918528, 0.029565733196396042, 0.024366284998921624, 0.022756843291899208, 0.022066474140846216, 0.021707950594501917, 0.021497443885024593, 0.021362882015240031, 0.021271350591846535, 0.021206070597471247, 0.021157748057941288, 0.021120889777768444, 0.021092075192352344, 0.021069081145559481, 0.021050410056785727, 0.021035022002331594, 0.021022175766437907, 0.021011330934551473, 0.021002085594009345, 0.020994135549104967, 0.020987246942751503, 0.020981237463558528, 0.020975963186223339, 0.020971309189696752, 0.020967182759083568, 0.02096350838641935, 0.020960224044378566, 0.020957278374214908, 0.020954628539322749, 0.020952238569537058, 0.020950078071458551, 0.02094812121473481, 0.020946345928479118, 0.020944733259200456, 0.020943266853950211, 0.020941932541334991, 0.020940717989598436, 0.020939612425823519, 0.020938606403926818, 0.02093769161184178, 0.020936860710356931, 0.020936107197656977, 0.02093542529483363, 0.020934809848577832, 0.020934256248002728, 0.020933760353125837, 0.020933318432996444, 0.020932927111817455, 0.020932583321701694, 0.020932284260935803, 0.020932027356814105, 0.020931810232258735, 0.020931630675569479, 0.020931486612752272, 0.020931376081965058, 0.020931297209697223, 0.020931248188367311, 0.020931227255087111, 0.020931232671399808, 0.020931262703859369, 0.020931315605379013, 0.020931389597340543, 0.020931482852526363, 0.0209315934790122, 0.020931719505243661, 0.020931858866613764, 0.020932009393962506, 0.020932168804531373, 0.020932334696025227, 0.020932504544555759, 0.020932675707359856, 0.02093284543129325, 0.020933010868183496, 0.020933169098169373, 0.020933317162138317, 0.02093345210427348, 0.020933571025513062, 0.020933671148376586, 0.020933749893100675, 0.020933804964328728, 0.020933834446705681, 0.020933836906649607, 0.020933811496341138, 0.020933758054659801, 0.02093367719851142, 0.020933570396884496, 0.020933440019232915, 0.020933289349617391, 0.020933122558656363, 0.020932944626908628, 0.020932761215922722, 0.020932578486807487, 0.020932402870608057, 0.02093224079964251, 0.020932098413739629, 0.020931981259386567, 0.020931894002501762, 0.020931840176347846, 0.020931821984658826, 0.020931831095417262, 0.020931858230072192, 0.020931902801548032, 0.020931963850416749, 0.020932040072571333, 0.02093212985627892, 0.020932231327051298, 0.02093234239849466, 0.020932460827131107, 0.020932584269127839, 0.020932710336919798, 0.020932836653858984, 0.020932960905249452, 0.020933080884412231, 0.020933194532745024, 0.020933299973076632, 0.020933395535944633, 0.020933479778729606, 0.020933551497848354, 0.020933609734431355, 0.020933653774083311, 0.020933683141448362, 0.020933697590375562, 0.020933697090510617, 0.020933681811132955, 0.020933652103019285, 0.020933608479054823, 0.020933551594236086, 0.020933482225623846, 0.020933401252714146, 0.020933309638606252, 0.020933208412260613, 0.020933098652061489, 0.020932981470828178, 0.020932858002357457, 0.020932729389528486, 0.020932596773958465, 0.020932461287164042, 0.020932324043157962, 0.020932186132391707, 0.020932048616942835, 0.020931912526838639, 0.020931778857404923, 0.020931648567529243, 0.020931522578731553, 0.020931401774940024, 0.020931287002876761, 0.020931179072965649, 0.020931078760682564, 0.020930986808276403, 0.02093090392679792, 0.02093083079838098, 0.020930768078728939, 0.020930716399765702, 0.020930676372417988, 0.020930648589501773, 0.02093063362869101, 0.020930632055552761, 0.020930644426637026, 0.020930671292614236, 0.020930713201457413, 0.020930770701669255, 0.020930844345558409, 0.020930934692571613, 0.02093104231269205, 0.020931167789916508, 0.020931311725827177, 0.020931474743276404, 0.020931657490205736, 0.02093186064362337, 0.02093208491376736, 0.020932331048485218, 0.020932599837864205, 0.02093289211915075, 0.020933208782001691, 0.020933550774115576, 0.020933919107297579, 0.02093431486401845, 0.020934739204535421, 0.020935193374651658, 0.020935678714200826, 0.020936196666354913, 0.020936748787866947, 0.020937336760375822, 0.020937962402918637, 0.020938627685816964, 0.020939334746128864, 0.020940085904887048, 0.020940883686378326, 0.020941730839759851, 0.020942630363355627, 0.020943585532033581, 0.020944599928131427, 0.020945677476479713, 0.020946822484168043, 0.020948039685815847, 0.020949334295249585, 0.02095071206465772, 0.020952179352500461, 0.020953743201702391, 0.020955411429963138, 0.020957192734398972, 0.020959096813194793, 0.020961134507523984, 0.020963317967715632, 0.020965660848551768, 0.020968178539715852, 0.020970888438855917, 0.020973810276562622, 0.020976966504917923, 0.020980382764308657, 0.02098408844714697, 0.020988117382303925, 0.0209925086708719, 0.020997307712919498, 0.021002567477030106, 0.02100835008081554, 0.021014728772989783, 0.021021790438475789, 0.021029638791093656, 0.021038398479148117, 0.021048220416050662, 0.021059288773813599, 0.021071830261918147, 0.02108612658962656, 0.021102531428082955, 0.021121493835303061, 0.021143591127646386, 0.021237537238170373, 0.021408702426495885, 0.021777702426543248, 0.0228487372109853, 0.028943382820075803, 0.070694382786403401, 0.024716107180087907, 0.021972062247803095, 0.021365938477359441, 0.021146005597442168, 0.021044284690899345, 0.020989919713163226, 0.020957928737031506, 0.020937760558444575, 0.020924366028807751, 0.020915096378235878, 0.020908460420171273, 0.020903570323561604, 0.020899872934050157, 0.020897010506787099, 0.020894744468060868, 0.020892911777777308, 0.020891399059456549, 0.02089012690010357, 0.020889040291468021, 0.020888103064477512, 0.020887295260490515, 0.020886613148425694, 0.020886072345609345, 0.020885715574879015, 0.020885628606504641, 0.020885972322901139, 0.020887049411289108, 0.020889452173557449, 0.020894420699394723, 0.020904822010365913, 0.020928313906636194, 0.020990442237778351, 0.021216809100376155, 0.023132728218617213, 0.030662812822847767, 0.021814866099804379, 0.021235678047574445, 0.021079715217645515, 0.021013918199927078, 0.020979178204672308, 0.020958161166778566, 0.020944220458072788, 0.020934335340855401, 0.020926960732125591, 0.020921234370203764, 0.020916641752545855, 0.020912859200343536, 0.020909674187196529, 0.020906942177228171, 0.02090456195466427, 0.020902460873270013, 0.02090058569163649, 0.020898896686984875, 0.020897363763569845, 0.020895963813292926, 0.020894678884575857, 0.020893494885998679, 0.020892400651693264, 0.020891387256416771, 0.020890447506128357, 0.020889575554008923, 0.02088876660753234, 0.020888016702571111, 0.020887322527507895, 0.020886681285108611, 0.020886090583236032, 0.020885548347822903, 0.020885052753193224, 0.020884602166025328, 0.020884195100130613, 0.020883830179871145, 0.020883506110524211, 0.020883221654266659, 0.020882975610730305, 0.020882766801292467, 0.020882594056432086, 0.020882456205610796, 0.020882352069241526, 0.020882280452388227, 0.020882240139906572, 0.020882229892788144, 0.02088224844551459, 0.020882294504263595, 0.020882366745837974, 0.02088246381721413, 0.020882584335625707, 0.020882726889116018, 0.02088289003750618, 0.020883072313738121, 0.020883272225560745, 0.020883488257535394, 0.020883718873342998, 0.020883962518379859, 0.0208842176226323, 0.020884482603823092, 0.020884755870823401, 0.020885035827324521, 0.020885320875763145, 0.02088560942149241, 0.020885899877189459, 0.020886190667487068, 0.020886480233814685, 0.020886767039430203, 0.020887049574620495, 0.020887326362044652, 0.020887595962190343, 0.020887856978909547, 0.02088810806499623, 0.020888347927765494, 0.02088857533459032, 0.020888789118349693, 0.020888988182740247, 0.020889171507401688, 0.020889338152806757, 0.020889487264865836, 0.020889618079198313, 0.020889729925024619, 0.020889822228635599, 0.020889894516400068, 0.020889946417275745, 0.020889977664793918, 0.020889988098494489, 0.020889981141918534, 0.020889960298621044, 0.020889925647809834, 0.020889877321221353, 0.020889815502707677, 0.020889740427662645, 0.020889652382290888, 0.020889551702724961, 0.02088943877399678, 0.020889314028870069, 0.020889177946541885, 0.020889031051221408, 0.020888873910595247, 0.020888707134188521, 0.020888531371631543, 0.020888347310842114, 0.020888155676133075, 0.020887957226255298, 0.020887752752385452, 0.020887543076067772, 0.020887329047118489, 0.020887111541500993, 0.020886891459178936, 0.020886669721953712, 0.020886447271291689, 0.020886225066145653, 0.02088600408077361, 0.020885785302557119, 0.020885569729819725, 0.020885358369645238, 0.020885152235693726, 0.020884952346012228, 0.020884759720835401, 0.0208845753803703, 0.020884400342557962, 0.020884235620803077, 0.020884082221662152, 0.020883941142478865, 0.020883813368954691, 0.020883699872641673, 0.02088360160834327, 0.020883519511408981, 0.020883454494907461, 0.020883407446662963, 0.020883379226139902, 0.02088337066116076, 0.020883382544443191, 0.02088341562994361, 0.020883470628995988, 0.020883548206237192, 0.020883648975312617, 0.020883773494359992, 0.020883922261273398, 0.020884095708754612, 0.020884294199165435, 0.020884518019201659, 0.020884767374417371, 0.020885042383637767, 0.020885343073308846, 0.020885669371843416, 0.020886021104035309, 0.020886397985626234, 0.02088679961812321, 0.02088722548397794, 0.020887674942252684, 0.020888147224909566, 0.020888641433871299, 0.020889156539010113, 0.020889691377227453, 0.020890244652789079, 0.020890814939077448, 0.020891400681914724, 0.020892000204594953, 0.020892611714741948, 0.020893233313079858, 0.020893863004166447, 0.020894498709094406, 0.020895138280115359, 0.020895779517085017, 0.020896420185567859, 0.020897058036379458, 0.020897690826284333, 0.020898316339512585, 0.020898932409710344, 0.020899536941901459, 0.020900127934013375, 0.02090070349750961, 0.020901261876678474, 0.020901801466150113, 0.020902320826253984, 0.020902818695883247, 0.020903294002599916, 0.020903745869791227, 0.020904173620771554, 0.020904576779808868, 0.020904955070139373, 0.020905308409112134, 0.020905636900676282, 0.020905940825482305, 0.020906220628915412, 0.020906476907411761, 0.020906710393425839, 0.020906921939423048, 0.020907112501262277, 0.020907283121315477, 0.020907434911642396, 0.020907569037504022, 0.020907686701458809, 0.020907789128242878, 0.020907877550592549, 0.020907953196125456, 0.020908017275355843, 0.020908070970883517, 0.020908115427762969, 0.020908151745031009, 0.020908180968347911, 0.020908204083688556, 0.020908222012006029, 0.020908235604780431, 0.020908245640360101, 0.020908252821000554, 0.020908257770507119, 0.020908261032391656, 0.020908263068458787, 0.020908264257746417, 0.020908264895753155, 0.02090826519389722, 0.02090826527916214], [0.020916216998415404, 0.020916208626854508, 0.020916183538815598, 0.020916141814129811, 0.020916083585516401, 0.020916009038088129, 0.020915918408667824, 0.020915811984924589, 0.020915690104340714, 0.020915553153022532, 0.020915401564370238, 0.020915235817623608, 0.020915056436302176, 0.020914863986559774, 0.020914659075474316, 0.020914442349295091, 0.02091421449166999, 0.020913976221876074, 0.020913728293076746, 0.02091347149062938, 0.020913206630466721, 0.020912934557575306, 0.020912656144594217, 0.020912372290556119, 0.020912083919792927, 0.020911791981027102, 0.020911497446669355, 0.020911201312342486, 0.020910904596650622, 0.020910608341211973, 0.020910313610972845, 0.020910021494819405, 0.020909733106502924, 0.020909449585893247, 0.020909172100574004, 0.020908901847791494, 0.020908640056767694, 0.020908387991385564, 0.020908146953251949, 0.020907918285139968, 0.020907703374808208, 0.020907503659188243, 0.020907320628924437, 0.020907155833240744, 0.020907010885097183, 0.020906887466583726, 0.020906787334480679, 0.020906712325891925, 0.02090666436382865, 0.020906645462587612, 0.020906657732726291, 0.020906703385388477, 0.020906784735675994, 0.020906904204695074, 0.020907064319829284, 0.020907267712704757, 0.020907517114218899, 0.020907815345903798, 0.020908165306793153, 0.020908569954864013, 0.02090903228204059, 0.020909555281690095, 0.020910141907526273, 0.020910795022887552, 0.020911517339498163, 0.020912311345083527, 0.020913179219625475, 0.020914122740639984, 0.020915143178662842, 0.020916241185145401, 0.020917416676181067, 0.02091866871685364, 0.020919995412431693, 0.020921393813986951, 0.020922859847099209, 0.020924388272895517, 0.02092597269051448, 0.02092760558896779, 0.020929278454148305, 0.020930981933393957, 0.02093270605572186, 0.020934440500954169, 0.02093617490599841, 0.020937899192162532, 0.020939603894226975, 0.020941280470590032, 0.020942921574444183, 0.020944521268612112, 0.020946075171038758, 0.020947580523402447, 0.020949036181131829, 0.020950442528547417, 0.020951801327262085, 0.020953115508965184, 0.020954388925127285, 0.02095562606608118, 0.020956831760629055, 0.020958010865177294, 0.02095916794882682, 0.020960306978252203, 0.020961431003939407, 0.020962541847715246, 0.02096363979074118, 0.02096472326148266, 0.020965788524832826, 0.020966829376817694, 0.020967836854428733, 0.020968798977425606, 0.020969700548699798, 0.020970523052111535, 0.020971244701387032, 0.020971840709819604, 0.020972283866222581, 0.020972545514321046, 0.020972597034953251, 0.020972411915132771, 0.020971968445261075, 0.020971253005211781, 0.020970263774287467, 0.020969014530532799, 0.02096753800903171, 0.020965888107028555, 0.020964140121107287, 0.020962388258626879, 0.020960739952490075, 0.020959307046174713, 0.020958194637002384, 0.02095748909797927, 0.020957247299751625, 0.020957271789355823, 0.020957344233493193, 0.020957461620867937, 0.020957619135881945, 0.020957810443725432, 0.020958028052724412, 0.020958263723012509, 0.020958508888925406, 0.020958755064451738, 0.020958994205956941, 0.020959219013232583, 0.02095942315760058, 0.020959601433288014, 0.020959749834778735, 0.020959865567836758, 0.020959947005181483, 0.020959993599431345, 0.0209600057661565, 0.020959984749026647, 0.020959932477471108, 0.020959851425317099, 0.020959744476816804, 0.020959614804515775, 0.0209594657616861, 0.020959300790615504, 0.020959123346927833, 0.020958936839297438, 0.020958744583374583, 0.020958549768415637, 0.020958355434964705, 0.020958164461914737, 0.020957979561350398, 0.020957803279706731, 0.020957638003942774, 0.020957485971609312, 0.020957349283869928, 0.020957229920707095, 0.02095712975770414, 0.020957050583936855, 0.020956994120634839, 0.020956962040382915, 0.020956955986728299, 0.020956977594141939, 0.020957028508354684, 0.020957110407152826, 0.020957225021775907, 0.020957374159114837, 0.020957559724962251, 0.020957783748623116, 0.020958048409253496, 0.020958356064362853, 0.020958709280992416, 0.020959110870174016, 0.020959563925383274, 0.02096007186583464, 0.020960638485629141, 0.020961268009967997, 0.020961965159896054, 0.020962735227353185, 0.020963584162705245, 0.020964518677424684, 0.02096554636522234, 0.020966675845739351, 0.020967916935945352, 0.020969280855729862, 0.020970780475920738, 0.020972430619252778, 0.020974248427836916, 0.020976253814712756, 0.020978470022487473, 0.020980924319416703, 0.020983648873356443, 0.020986681857960897, 0.020990068865028022, 0.02099386472456851, 0.020998135873903749, 0.021002963474943629, 0.021008447564292737, 0.021014712649295091, 0.021021915359606212, 0.021030255070297588, 0.021039988900660271, 0.021051453289063871, 0.021065095677003529, 0.02108152213196432, 0.021101570826201847, 0.021126428834792339, 0.021157824240286661, 0.02119835485395747, 0.021252077443580212, 0.021325623932269628, 0.021430462243319869, 0.02158787100640322, 0.021841100626666429, 0.022289515815344583, 0.023204560020636138, 0.025549133428967755, 0.034440776298459319, 0.06687380766686106, 0.034939683267004543, 0.025145815304757433, 0.02279171593127759, 0.021936210642904637, 0.021541134472801562, 0.021329618760897805, 0.021204555777041379, 0.021125167953551405, 0.021072022695860355, 0.021034949874939649, 0.02100822863118925, 0.020988451170844594, 0.020973490814081334, 0.020961968234786285, 0.020952959399548166, 0.020945828039400868, 0.020940125622254325, 0.020935529533318543, 0.020931803709614848, 0.020928772911229021, 0.020926305519216249, 0.020924301806392386, 0.020922685806105682, 0.020921399600260147, 0.020920399270295102, 0.020919652017772902, 0.020919134129072224, 0.020918829568747271, 0.02091872906066037, 0.020918829568747271, 0.020919134129072217, 0.020919652017772905, 0.020920399270295105, 0.020921399600260154, 0.020922685806105679, 0.020924301806392393, 0.020926305519216253, 0.020928772911229025, 0.020931803709614862, 0.02093552953331853, 0.020940125622254328, 0.020945828039400857, 0.020952959399548162, 0.020961968234786271, 0.020973490814081334, 0.02098845117084459, 0.021008228631189244, 0.021034949874939663, 0.021072022695860369, 0.021125167953551426, 0.021204555777041438, 0.021329618760897853, 0.02154113447280144, 0.021936210642904984, 0.02279171593127826, 0.025145815304760077, 0.034939683267005313, 0.066873807666861462, 0.03444077629845662, 0.025549133428967401, 0.023204560020636686, 0.022289515815344423, 0.021841100626666509, 0.021587871006403216, 0.021430462243319993, 0.021325623932269635, 0.021252077443580205, 0.02119835485395747, 0.021157824240286689, 0.021126428834792366, 0.02110157082620185, 0.021081522131964323, 0.021065095677003529, 0.021051453289063878, 0.021039988900660268, 0.021030255070297595, 0.021021915359606215, 0.021014712649295098, 0.021008447564292744, 0.021002963474943636, 0.020998135873903759, 0.020993864724568507, 0.020990068865028026, 0.020986681857960897, 0.020983648873356443, 0.020980924319416696, 0.020978470022487469, 0.020976253814712766, 0.020974248427836913, 0.020972430619252781, 0.020970780475920738, 0.020969280855729862, 0.020967916935945352, 0.020966675845739361, 0.020965546365222333, 0.020964518677424684, 0.020963584162705245, 0.020962735227353188, 0.020961965159896061, 0.02096126800996799, 0.020960638485629145, 0.020960071865834637, 0.020959563925383271, 0.020959110870174012, 0.020958709280992426, 0.020958356064362856, 0.020958048409253496, 0.020957783748623109, 0.020957559724962257, 0.020957374159114837, 0.020957225021775903, 0.020957110407152819, 0.020957028508354684, 0.020956977594141935, 0.020956955986728299, 0.020956962040382911, 0.020956994120634835, 0.020957050583936855, 0.020957129757704137, 0.020957229920707095, 0.020957349283869931, 0.020957485971609312, 0.020957638003942774, 0.020957803279706727, 0.020957979561350398, 0.02095816446191473, 0.020958355434964712, 0.020958549768415633, 0.020958744583374572, 0.020958936839297448, 0.020959123346927833, 0.0209593007906155, 0.020959465761686093, 0.020959614804515771, 0.0209597444768168, 0.020959851425317099, 0.020959932477471105, 0.020959984749026651, 0.02096000576615651, 0.020959993599431351, 0.020959947005181476, 0.020959865567836758, 0.020959749834778732, 0.020959601433288018, 0.02095942315760058, 0.020959219013232583, 0.020958994205956941, 0.020958755064451735, 0.020958508888925413, 0.020958263723012509, 0.020958028052724412, 0.020957810443725432, 0.020957619135881955, 0.020957461620867947, 0.020957344233493196, 0.020957271789355823, 0.020957247299751625, 0.02095725956505361, 0.02095729609150342, 0.020957356079136666, 0.020957438222293977, 0.020957540749672959, 0.020957661477757822, 0.020957797875200534, 0.020957947135319878, 0.020958106253656694, 0.020958272107476923, 0.020958441534239862, 0.020958611406324181, 0.020958778699698026, 0.020958940554693769, 0.020959094327565535, 0.020959237632030815, 0.020959368370495429, 0.020959484755106964, 0.020959585319159677, 0.020959668919670871, 0.020959734732163688, 0.020959782238826101, 0.020959811211276096, 0.020959821689161995, 0.020959813955773291, 0.020959788511746031, 0.020959746047828687, 0.020959687417540368, 0.020959613610413874, 0.020959525726376743, 0.02095942495169267, 0.020959312536764873, 0.02095918977599719, 0.020959057989816638, 0.020958918508885791, 0.020958772660471834, 0.020958621756891869, 0.020958467085918989, 0.020958309903009686, 0.020958151425197764, 0.020957992826492879, 0.020957835234620168, 0.020957679728940901, 0.020957527339400865, 0.020957379046362648, 0.020957235781188913, 0.020957098427455596, 0.020956967822686582, 0.020956844760513498, 0.020956729993176274, 0.020956624234291652, 0.020956528161827546, 0.020956442421230778, 0.020956367628665228, 0.02095630437432516, 0.020956253225796414, 0.020956214731444135, 0.02095618942381227, 0.020956177823024655, 0.02095618044018259, 0.020956197780757815, 0.020956230347983162, 0.020956278646247096, 0.020956343184500466, 0.020956424479687534, 0.020956523060215018, 0.020956639469475971, 0.020956774269447538, 0.020956928044384013, 0.020957101404629155, 0.020957294990574565, 0.020957509476793475, 0.020957745576382615, 0.020958004045548279, 0.020958285688476443, 0.020958591362531399, 0.020958921983832032, 0.020959278533260895, 0.020959662062967458, 0.020960073703434844, 0.020960514671187355, 0.020960986277227006, 0.020961489936298174, 0.020962027177093504, 0.020962599653529757, 0.020963209157240634, 0.020963857631455442, 0.020964547186457218, 0.020965280116844065, 0.020966058920851995, 0.020966886322038913, 0.020967765293678251, 0.020968699086268677, 0.020969691258635136, 0.020970745713179303, 0.020971866735935825, 0.020973059042209849, 0.020974327828714546, 0.020975678833300652, 0.020977118403581147, 0.020978653576011447, 0.020980292167300667, 0.020982042880417679, 0.020983915427934992, 0.020985920676049159, 0.020988070813359499, 0.020990379549418792, 0.020992862349245359, 0.020995536711476057, 0.020998422499741046, 0.021001542339281722, 0.02100492209398544, 0.021008591443111697, 0.021012584582357552, 0.021016941081003521, 0.021021706936323627, 0.021026935879117775, 0.021032691001396608, 0.021039046800735976, 0.021046091768281008, 0.021053931692739489, 0.021062693916840739, 0.021072532874573828, 0.02108363737082352, 0.021096240261378855, 0.02111063148514938, 0.021127175847856356, 0.021146337650642662, 0.021226504145516297, 0.021367921114405386, 0.021657021751102144, 0.022415411010977545, 0.025750382447025967, 0.078627714280708833, 0.027426930789833326, 0.022388851368816534, 0.021516276056272036, 0.021228761767986732, 0.021102281630051522, 0.021036655970808935, 0.020998752910873195, 0.020975145430052897, 0.02095959024972327, 0.020948880169568203, 0.020941237991782668, 0.02093561848569149, 0.020931376704044595, 0.02092809878026607, 0.020925510493926314, 0.020923425488686392, 0.020921714843095011, 0.02092028873862653, 0.020919085367501658, 0.020918064510118826, 0.020917204523502861, 0.020916502390465372, 0.020915977361059952, 0.020915679985702637, 0.020915710736967335, 0.020916257696490605, 0.02091767567085193, 0.020920663825675406, 0.020926703939298262, 0.020939289236671901, 0.020968046388648888, 0.021046855560004029, 0.021361325776573684, 0.025084434688656093, 0.025723602502607138, 0.02163929286363581, 0.021216241421483602, 0.021088330015094987, 0.021031525864629853, 0.021000655781312334, 0.020981631457725837, 0.020968848643046493, 0.020959697241040104, 0.020952818738301651, 0.02094744507786343, 0.020943113356633992, 0.020939530044004416, 0.020936501175455022, 0.020933894147830184, 0.020931615698306292, 0.020929598645100984, 0.020927793600069518, 0.020926163618689052, 0.020924680647240922, 0.020923323103838581, 0.020922074194480226, 0.020920920717271342, 0.020919852198006433, 0.020918860255149642, 0.020917938126507007, 0.02091708031175846, 0.020916282299277562, 0.02091554035513532, 0.020914851358581388, 0.020914212672684365, 0.02091362204186888, 0.020913077510243759, 0.020912577356156221, 0.020912120039521951, 0.020911704159296121, 0.020911328419052778, 0.020910991599090885, 0.020910692533824306, 0.020910430093472654, 0.020910203169268615, 0.020910010661552337, 0.020909851470244562, 0.020909724487286507, 0.020909628590710602, 0.020909562640068227, 0.020909525472990496, 0.020909515902698884, 0.020909532716316383, 0.020909574673857449, 0.020909640507798283, 0.020909728923148116, 0.020909838597958294, 0.020909968184219165, 0.020910116309105966, 0.020910281576543881, 0.020910462569069692, 0.020910657849973639, 0.02091086596570909, 0.020911085448561271, 0.020911314819568563, 0.020911552591690565, 0.020911797273218163, 0.020912047371419901, 0.020912301396417907, 0.020912557865284748, 0.02091281530635046, 0.020913072263705902, 0.020913327301885498, 0.020913579010709154, 0.020913826010259231, 0.020914066955964934, 0.020914300543762913, 0.020914525515299157, 0.020914740663134323, 0.020914944835911355, 0.02091513694344245, 0.020915315961670129, 0.02091548093745603, 0.020915630993150924, 0.020915765330899349, 0.02091588323663365, 0.02091598408371409, 0.020916067336174307, 0.02091613255153528, 0.020916179383154827, 0.020916207582085046, 0.020916216998415404, 0.020916210720136243, 0.020916191909979565, 0.020916160641909744, 0.020916117038941924, 0.020916061272755471, 0.020915993563156873, 0.020915914177395575, 0.02091582342933767, 0.020915721678503051, 0.02091560932897242, 0.020915486828171667, 0.020915354665541112, 0.020915213371098341, 0.020915063513903123, 0.020914905700433608, 0.020914740572883065, 0.020914568807386021, 0.020914391112183343, 0.020914208225734678, 0.020914020914786936, 0.020913829972406674, 0.020913636215983709, 0.020913440485212605, 0.020913243640057887, 0.020913046558707567, 0.020912850135519329, 0.020912655278961748, 0.02091246290955243, 0.020912273957793499, 0.020912089362103831, 0.020911910066745795, 0.020911737019743564, 0.02091157117078828, 0.020911413469124396, 0.020911264861410268, 0.020911126289544613, 0.020910998688449874, 0.020910882983801792, 0.020910780089694068, 0.020910690906225934, 0.020910616316999697, 0.020910557186514998, 0.020910514357445904, 0.020910488647787131, 0.020910480847855743, 0.020910491717135202, 0.020910521980949337, 0.02091057232695543, 0.020910643401447049, 0.020910735805459518, 0.02091085009067423, 0.02091098675512083, 0.020911146238681247, 0.020911328918404224, 0.020911535103644869, 0.020911765031050886, 0.020912018859424418, 0.020912296664497548, 0.020912598433668737, 0.020912924060758242, 0.020913273340851586, 0.020913645965312259, 0.020914041517056784, 0.020914459466197924, 0.020914899166173635, 0.020915359850490672, 0.020915840630221491, 0.020916340492401021, 0.020916858299474515, 0.0209173927899492, 0.020917942580399064, 0.020918506168963392, 0.02091908194046543, 0.020919668173255607, 0.020920263047856016, 0.020920864657446987, 0.020921471020194395, 0.020922080093368316, 0.020922689789150205, 0.020923297991969691, 0.020923902577155009, 0.020924501430625103, 0.02092509246930039, 0.020925673661864444, 0.020926243049475154, 0.020926798766000995, 0.02092733905735069, 0.020927862299472133, 0.020928367014619614, 0.020928851885527469, 0.020929315767181312, 0.020929757695942467, 0.020930176895855225, 0.020930572782045746, 0.020930944961202447, 0.020931293229207365, 0.020931617566061638, 0.02093191812831487, 0.020932195239262385, 0.020932449377217922, 0.020932681162198451, 0.0209328913413739, 0.020933080773637473, 0.020933250413643738, 0.020933401295642185, 0.020933534517406534, 0.020933651224526142, 0.020933752595287611, 0.02093383982633373, 0.020933914119245906, 0.020933976668156017, 0.020934028648455245, 0.020934071206633216, 0.020934105451249286, 0.020934132445012115, 0.020934153197921204, 0.020934168661406967, 0.020934179723393002, 0.020934187204195459, 0.020934191853169283, 0.020934194346009637, 0.02093419528261781, 0.020934195185445308, 0.020934194498234984, 0.020934193585086677, 0.020934192729783183, 0.020934192135323073, 0.020934191923617937], [0.020953757539310728, 0.020953750143368553, 0.02095372798024939, 0.020953691123982921, 0.020953639697645382, 0.020953573872903773, 0.020953493869386386, 0.020953399953887491, 0.020953292439416855, 0.020953171684106538, 0.020953038089989089, 0.020952892101663369, 0.02095273420486541, 0.020952564924963106, 0.020952384825394663, 0.020952194506071539, 0.020951994601767304, 0.020951785780514365, 0.020951568742030437, 0.020951344216197335, 0.020951112961613918, 0.020950875764245161, 0.02095063343618897, 0.020950386814581674, 0.020950136760662808, 0.020949884159019012, 0.020949629917026303, 0.020949374964509247, 0.020949120253634636, 0.020948866759056908, 0.020948615478331212, 0.020948367432609534, 0.020948123667634298, 0.020947885255042598, 0.020947653293993337, 0.020947428913127682, 0.020947213272872047, 0.020947007568089818, 0.02094681303108608, 0.020946630934965231, 0.020946462597337519, 0.02094630938436402, 0.020946172715122748, 0.020946054066268729, 0.020945954976949538, 0.020945877053922479, 0.020945821976801914, 0.020945791503342304, 0.020945787474635172, 0.020945811820065, 0.020945866561829129, 0.020945953818779211, 0.020946075809286712, 0.020946234852770092, 0.020946433369448892, 0.020946673877807739, 0.020946958989164804, 0.020947291398645589, 0.020947673871768192, 0.020948109225757849, 0.020948600304634149, 0.020949149947067165, 0.020949760945995561, 0.020950435999059755, 0.02095117764905275, 0.020951988213856982, 0.020952869705747803, 0.020953823740529273, 0.02095485143774773, 0.020955953314207968, 0.02095712917418038, 0.020958378000986211, 0.020959697855991999, 0.020961085792296788, 0.020962537791374559, 0.020964048731421058, 0.020965612395922748, 0.02096722152981308, 0.020968867948383825, 0.02097054270087614, 0.020972236286554303, 0.020973938916414608, 0.020975640809012677, 0.02097733250481381, 0.020979005180588449, 0.020980650944173805, 0.020982263090663315, 0.020983836303730859, 0.02098536679001374, 0.020986852339689457, 0.020988292311879934, 0.020989687548595475, 0.020991040225005583, 0.020992353646517182, 0.02099363200431589, 0.0209948801007694, 0.020996103054661534, 0.020997305993980482, 0.020998493741320616, 0.020999670494250604, 0.021000839500589934, 0.021002002726706083, 0.021003160515954179, 0.021004311234483378, 0.021005450903116958, 0.021006572817234122, 0.021007667161990207, 0.021008720638357938, 0.021009716126962213, 0.021010632432078687, 0.021011444167771981, 0.021012121871632022, 0.021012632457375807, 0.021012940142130038, 0.021013008000875948, 0.021012800298712133, 0.021012285716300351, 0.021011441496873316, 0.021010258386940511, 0.021008746008471867, 0.021006938000237837, 0.021004895948430472, 0.021002710885990861, 0.021000501110484616, 0.020998405391398304, 0.020996571387232415, 0.020995140206092288, 0.020994229263727567, 0.020993916507600501, 0.020993949561016485, 0.020994047288981181, 0.020994205489164586, 0.020994417463104868, 0.020994674442017844, 0.0209949661231465, 0.020995281267221406, 0.020995608305988681, 0.020995935913164503, 0.02099625350124272, 0.020996551618435094, 0.020996822232677358, 0.020997058901366581, 0.020997256835074283, 0.020997412870258938, 0.02099752536986418, 0.020997594071933995, 0.020997619905549419, 0.02099760479113499, 0.020997551439122103, 0.02099746315761284, 0.020997343676453856, 0.020997196992259486, 0.020997027236551263, 0.020996838567347031, 0.020996635083213793, 0.020996420757931167, 0.020996199393416046, 0.020995974588349082, 0.02099574971994252, 0.0209955279364278, 0.020995312158067582, 0.020995105084767682, 0.020994909208649236, 0.020994726830221796, 0.020994560077058189, 0.020994410924107167, 0.02099428121498596, 0.020994172683771479, 0.02099408697695879, 0.02099402567538056, 0.020993990315984808, 0.020993982413454498, 0.020994003481724748, 0.020994055055513994, 0.020994138712039322, 0.020994256093134427, 0.020994408928035307, 0.020994599057146124, 0.02099482845714783, 0.02099509926786881, 0.020995413821402242, 0.020995774674032117, 0.020996184641623852, 0.020996646839249643, 0.020997164725959021, 0.020997742155779649, 0.020998383436248998, 0.020999093396048409, 0.020999877463649702, 0.021000741759312002, 0.02100169320330773, 0.021002739643945896, 0.021003890009843838, 0.021005154492035216, 0.021006544762977478, 0.021008074241446725, 0.021009758414841397, 0.021011615233773241, 0.021013665598312654, 0.021015933961309172, 0.021018449082449656, 0.021021244978051846, 0.021024362127349389, 0.021027849018185541, 0.02103176414658723, 0.021036178630221853, 0.021041179662386722, 0.021046875132266184, 0.021053399887005501, 0.021060924341858592, 0.021069666507151343, 0.02107990908301368, 0.021092024230966261, 0.021106510251295015, 0.021124047217280863, 0.021145583702946731, 0.021172476262212924, 0.021206721937082521, 0.021251362361331749, 0.021311221512522661, 0.021394334259979095, 0.021514918370200833, 0.021700136689990646, 0.022007357605814081, 0.022575508773688961, 0.023814392243528628, 0.027361077884917796, 0.043130847494850001, 0.058473921601007339, 0.029883809200092492, 0.024141395791328894, 0.022501473228236112, 0.021842358858397169, 0.02151877229485458, 0.021338283038774546, 0.021228363021410946, 0.02115699821468818, 0.021108361970164118, 0.021073934173920877, 0.021048813214951834, 0.021030025189419727, 0.021015685532333801, 0.021004555969704471, 0.020995797681268084, 0.020988827518871926, 0.020983231011172637, 0.020978707974833012, 0.020975037531309252, 0.020972055043063806, 0.020969636580222096, 0.020967688268186735, 0.020966138875330085, 0.020964934601883714, 0.02096403540027808, 0.02096341238957709, 0.020963046077081895, 0.020962925200825624, 0.020963046077081892, 0.020963412389577083, 0.020964035400278084, 0.020964934601883714, 0.020966138875330088, 0.020967688268186718, 0.020969636580222099, 0.020972055043063806, 0.020975037531309249, 0.020978707974833023, 0.020983231011172623, 0.020988827518871926, 0.020995797681268066, 0.021004555969704464, 0.021015685532333798, 0.021030025189419727, 0.021048813214951827, 0.021073934173920866, 0.021108361970164136, 0.021156998214688191, 0.021228363021410977, 0.021338283038774612, 0.021518772294854643, 0.021842358858397023, 0.022501473228236698, 0.024141395791330258, 0.029883809200099525, 0.058473921601011093, 0.043130847494849488, 0.027361077884916832, 0.023814392243528493, 0.022575508773689308, 0.022007357605813967, 0.021700136689990709, 0.021514918370200833, 0.021394334259979195, 0.021311221512522661, 0.021251362361331742, 0.021206721937082521, 0.021172476262212945, 0.021145583702946759, 0.02112404721728087, 0.021106510251295021, 0.02109202423096625, 0.021079909083013691, 0.021069666507151356, 0.021060924341858599, 0.021053399887005504, 0.021046875132266184, 0.021041179662386722, 0.02103617863022186, 0.021031764146587233, 0.021027849018185541, 0.021024362127349393, 0.021021244978051849, 0.02101844908244966, 0.021015933961309172, 0.021013665598312654, 0.021011615233773248, 0.021009758414841404, 0.021008074241446722, 0.021006544762977471, 0.021005154492035223, 0.021003890009843838, 0.021002739643945906, 0.021001693203307723, 0.021000741759312009, 0.020999877463649702, 0.020999093396048409, 0.020998383436248991, 0.020997742155779646, 0.020997164725959017, 0.020996646839249639, 0.020996184641623859, 0.020995774674032113, 0.020995413821402246, 0.02099509926786881, 0.020994828457147823, 0.020994599057146127, 0.020994408928035314, 0.020994256093134427, 0.020994138712039322, 0.020994055055513994, 0.020994003481724741, 0.020993982413454501, 0.020993990315984812, 0.020994025675380567, 0.020994086976958794, 0.020994172683771479, 0.020994281214985967, 0.020994410924107167, 0.020994560077058185, 0.020994726830221796, 0.020994909208649236, 0.020995105084767679, 0.020995312158067578, 0.020995527936427793, 0.020995749719942527, 0.020995974588349078, 0.020996199393416043, 0.020996420757931167, 0.020996635083213797, 0.020996838567347027, 0.020997027236551252, 0.020997196992259482, 0.02099734367645386, 0.020997463157612837, 0.020997551439122093, 0.02099760479113499, 0.020997619905549426, 0.020997594071933995, 0.020997525369864177, 0.020997412870258938, 0.020997256835074276, 0.020997058901366581, 0.020996822232677358, 0.02099655161843509, 0.020996253501242724, 0.020995935913164499, 0.020995608305988681, 0.020995281267221402, 0.020994966123146497, 0.02099467444201784, 0.020994417463104861, 0.020994205489164582, 0.020994047288981178, 0.020993949561016481, 0.020993916507600501, 0.020993933063102283, 0.020993982354279767, 0.020994063267761785, 0.02099417398931706, 0.020994312063696327, 0.020994474474106642, 0.020994657737398337, 0.020994858010431602, 0.020995071202784217, 0.020995293090966809, 0.020995519429601497, 0.020995746055547864, 0.020995968981666613, 0.020996184477726745, 0.02099638913681964, 0.020996579926480963, 0.020996754224488125, 0.020996909839958666, 0.020997045020902303, 0.020997158449764543, 0.020997249228746538, 0.020997316856804799, 0.020997361200242919, 0.020997382458727586, 0.020997381128413654, 0.020997357963671064, 0.020997313938688686, 0.020997250210002278, 0.020997168080770991, 0.020997068967416811, 0.020996954369051902, 0.020996825839953465, 0.020996684965206652, 0.020996533339522123, 0.020996372549145673, 0.020996204156710992, 0.020996029688838597, 0.02099585062625399, 0.02099566839618108, 0.020995484366761356, 0.02099529984325231, 0.020995116065767865, 0.020994934208337875, 0.020994755379080118, 0.020994580621297689, 0.020994410915333227, 0.020994247181031617, 0.020994090280680982, 0.020993941022320078, 0.02099380016331653, 0.020993668414135649, 0.02099354644223355, 0.020993434876020355, 0.020993334308850489, 0.020993245303006551, 0.020993168393651885, 0.020993104092734003, 0.020993052892827678, 0.020993015270911717, 0.020992991692078286, 0.020992982613177547, 0.020992988486404011, 0.020993009762833952, 0.020993046895925817, 0.02099310034499818, 0.020993170578701606, 0.020993258078503222, 0.020993363342204478, 0.020993486887514554, 0.020993629255704194, 0.020993791015366327, 0.020993972766312787, 0.020994175143638508, 0.020994398821987611, 0.020994644520059096, 0.02099491300539336, 0.020995205099485152, 0.020995521683273333, 0.020995863703063351, 0.020996232176945052, 0.020996628201775513, 0.020997052960805691, 0.020997507732039518, 0.020997993897425831, 0.020998512952997116, 0.020999066520085118, 0.020999656357761909, 0.021000284376676521, 0.021000952654483398, 0.021001663453088352, 0.021002419237973559, 0.021003222699904886, 0.021004076779374423, 0.021004984694190189, 0.02100594997069509, 0.021006976479181452, 0.021008068474167946, 0.021009230640327177, 0.02101046814499857, 0.021011786698398281, 0.021013192622854258, 0.021014692932657529, 0.021016295426444388, 0.02101800879442221, 0.02101984274324404, 0.021021808141949459, 0.021023917193153975, 0.021026183634629728, 0.02102862297763217, 0.021031252789867012, 0.021034093032957089, 0.021037166466794998, 0.021040499136435232, 0.021044120961435778, 0.021048066453144332, 0.021052375592808797, 0.021057094913236245, 0.02106227883996234, 0.021067991365857391, 0.021074308157714439, 0.021081319227455562, 0.021089132348329456, 0.021097877464118311, 0.021107712436463047, 0.021118830616702652, 0.021131470937300539, 0.02114593153114561, 0.021162588365419333, 0.021231286945702962, 0.021349082740937234, 0.021579180947043985, 0.022134924145388243, 0.02415574721796647, 0.045903768785440391, 0.033681063813811744, 0.023033619598752705, 0.021720700913975984, 0.021337117647045763, 0.021178051262863731, 0.021098270044031267, 0.021053152710757018, 0.021025432436063529, 0.021007329928982538, 0.020994938820409585, 0.020986130997159277, 0.020979671090377263, 0.020974804606029619, 0.020971051340967922, 0.020968095260870984, 0.020965722826461402, 0.020963787083159845, 0.020962186191131413, 0.020960850516651728, 0.020959735199274604, 0.020958816690465093, 0.020958092840632228, 0.020957587153129231, 0.020957359323775123, 0.020957527045407046, 0.020958310431051962, 0.020960126196268844, 0.020963802060902197, 0.02097111596142593, 0.020986349746782134, 0.021021717635587689, 0.02112288406630073, 0.021574418063577381, 0.030087587126986524, 0.023737188282330065, 0.021534972459507796, 0.021216665401578592, 0.021110677226175153, 0.021061424893812838, 0.021033946678765909, 0.021016720180482406, 0.021005004356031698, 0.020996540186847885, 0.020990132466297551, 0.020985097114501913, 0.020981017904459092, 0.020977628907936991, 0.020974753327403905, 0.020972269690663677, 0.020970092208004283, 0.020968158864753665, 0.020966423936052858, 0.020964853130873505, 0.020963420353505045, 0.020962105490353742, 0.020960892864182581, 0.02095977013326927, 0.020958727493556397, 0.020957757091178676, 0.020956852583667335, 0.02095600880794482, 0.020955221526178971, 0.020954487229194352, 0.02095380298298118, 0.020953166307862352, 0.020952575082682647, 0.020952027468367659, 0.020951521846619733, 0.020951056770546352, 0.020950630924770598, 0.020950243093130646, 0.020949892132493063, 0.020949576951519777, 0.020949296493469532, 0.020949049722299693, 0.020948835611478749, 0.020948653135032625, 0.020948501260438041, 0.020948378943047252, 0.020948285121786491, 0.020948218715917309, 0.020948178622688204, 0.020948163715735608, 0.020948172844119584, 0.020948204831900942, 0.020948258478185128, 0.020948332557572877, 0.020948425820970625, 0.020948536996723725, 0.020948664792044543, 0.020948807894714004, 0.02094896497504118, 0.020949134688069422, 0.020949315676020958, 0.020949506570973841, 0.020949705997766421, 0.020949912577124856, 0.020950124929008853, 0.020950341676169684, 0.02095056144791279, 0.020950782884055514, 0.020951004639067256, 0.020951225386376945, 0.020951443822829267, 0.020951658673267599, 0.020951868695218361, 0.020952072683648036, 0.020952269475760579, 0.020952457955800346, 0.020952637059822424, 0.0209528057803905, 0.020952963171160358, 0.020953108351305889, 0.020953240509744397, 0.020953358909117779, 0.020953462889487601, 0.020953551871703505, 0.020953625360407232, 0.020953682946637627, 0.02095372431000617, 0.020953749220416984, 0.020953757539310728, 0.020953751992709654, 0.020953735375703338, 0.020953707756610273, 0.020953669249054858, 0.020953620011609355, 0.02095356024729635, 0.020953490202954932, 0.020953410168475177, 0.020953320475905989, 0.020953221498442354, 0.020953113649298704, 0.020952997380475465, 0.0209528731814266, 0.020952741577636224, 0.020952603129112367, 0.020952458428806622, 0.020952308100967612, 0.020952152799437056, 0.02095199320589607, 0.02095183002806951, 0.020951663997895487, 0.020951495869666714, 0.020951326418149552, 0.020951156436685877, 0.020950986735282017, 0.020950818138688248, 0.020950651484470954, 0.020950487621079011, 0.020950327405904294, 0.020950171703335737, 0.020950021382804409, 0.020949877316816867, 0.020949740378971973, 0.020949611441955854, 0.020949491375508486, 0.02094938104435376, 0.020949281306084977, 0.020949193008995608, 0.02094911698984521, 0.020949054071549279, 0.0209490050607813, 0.020948970745475116, 0.020948951892215045, 0.020948949243501835, 0.020948963514882301, 0.020948995391931475, 0.020949045527076795, 0.02094911453625533, 0.02094920299539688, 0.020949311436727874, 0.020949440344894033, 0.020949590152902972, 0.020949761237892321, 0.020949953916733509, 0.020950168441486863, 0.020950404994730519, 0.020950663684792262, 0.020950944540921848, 0.020951247508450135, 0.020951572443990877, 0.020951919110751459, 0.02095228717402944, 0.020952676196983256, 0.020953085636775882, 0.020953514841201868, 0.020953963045917234, 0.0209544293724011, 0.020954912826783845, 0.020955412299681207, 0.020955926567173655, 0.020956454293067257, 0.020956994032563018, 0.020957544237447934, 0.020958103262900138, 0.020958669375973783, 0.020959240765795528, 0.020959815555464931, 0.020960391815605533, 0.020960967579463953, 0.020961540859401412, 0.020962109664569416, 0.020962672019509267, 0.020963225983367806, 0.020963769669381436, 0.020964301264248836, 0.020964819046993953, 0.02096532140691431, 0.020965806860218584, 0.020966274064980805, 0.020966721834076385, 0.020967149145816304, 0.020967555152057789, 0.020967939183639484, 0.020968300753065001, 0.020968639554434419, 0.020968955460698484, 0.020969248518379335, 0.020969518939962798, 0.020969767094218588, 0.020969993494743482, 0.020970198787049601, 0.020970383734533082, 0.020970549203660687, 0.020970696148701659, 0.020970825596313334, 0.020970938630262139, 0.020971036376528279, 0.020971119989006141, 0.020971190635973101, 0.020971249487460642, 0.020971297703623125, 0.020971336424163881, 0.020971366758845582, 0.020971389779082777, 0.020971406510589867, 0.020971417927037505, 0.020971424944654173, 0.020971428417697974, 0.020971429134715763, 0.020971427815502187, 0.020971425108670162, 0.020971421589745486, 0.020971417759702828, 0.020971414043865318, 0.020971410791098277, 0.020971408273235886, 0.020971406684689702, 0.020971406142198435], [0.020979647687146896, 0.020979641285582929, 0.020979622103635305, 0.020979590209452562, 0.020979545716335694, 0.020979488782322239, 0.020979419609612065, 0.020979338443842331, 0.020979245573221641, 0.02097914132753512, 0.020979026077033829, 0.02097890023122357, 0.02097876423756969, 0.020978618580135458, 0.020978463778172696, 0.020978300384684338, 0.020978128984978809, 0.020977950195236839, 0.020977764661111557, 0.020977573056382353, 0.020977376081683673, 0.020977174463328613, 0.020976968952247994, 0.020976760323064111, 0.020976549373318401, 0.020976336922871621, 0.020976123813494056, 0.020975910908663204, 0.020975699093585029, 0.020975489275454576, 0.020975282383970652, 0.020975079372118517, 0.020974881217233555, 0.020974688922357886, 0.020974503517900624, 0.020974326063610806, 0.020974157650870656, 0.020973999405314116, 0.020973852489772987, 0.020973718107549385, 0.020973597506008548, 0.020973491980480194, 0.020973402878449333, 0.02097333160400796, 0.020973279622527537, 0.020973248465497592, 0.020973239735457744, 0.020973255110928742, 0.020973296351220833, 0.020973365300966256, 0.02097346389418327, 0.020973594157634369, 0.020973758213187473, 0.020973958278828163, 0.020974196667901235, 0.020974475786083292, 0.0209747981255042, 0.020975166255349172, 0.020975582808185591, 0.02097605046117967, 0.020976571911302984, 0.02097714984359246, 0.020977786891533914, 0.020978485588708844, 0.020979248311000374, 0.020980077208922737, 0.020980974130047507, 0.020981940532072585, 0.020982977387835548, 0.020984085084514027, 0.020985263320364544, 0.020986511003578168, 0.020987826159087217, 0.020989205850311016, 0.020990646123704642, 0.020992141984368131, 0.020993687410672094, 0.020995275414675864, 0.02099689815294652, 0.020998547089244892, 0.021000213206596816, 0.02100188726185695, 0.021003560071487706, 0.021005222813491653, 0.02100686732781876, 0.021008486396564285, 0.021010073986105063, 0.021011625435938673, 0.021013137583057364, 0.021014608815650464, 0.02101603905511162, 0.021017429670062631, 0.021018783329849706, 0.021020103807368247, 0.021021395742009293, 0.021022664373077704, 0.021023915252453694, 0.021025153942890753, 0.021026385705529262, 0.021027615177306228, 0.021028846036265966, 0.021030080650595827, 0.021031319705776801, 0.021032561803822167, 0.021033803029517177, 0.021035036481325365, 0.021036251769822194, 0.021037434494991143, 0.021038565726524187, 0.021039621529609091, 0.02104057260372608, 0.021041384134434859, 0.021042015997559456, 0.021042423498761363, 0.021042558872370661, 0.021042373788509684, 0.021041823105903881, 0.021040870029646334, 0.021039492653501055, 0.021037691554690461, 0.02103549765938445, 0.021032979056052701, 0.02103024493014629, 0.021027444547007848, 0.021024759491350263, 0.021022388392540271, 0.021020525113024675, 0.021019333478634137, 0.021018923362335372, 0.021018968382129129, 0.021019101382242993, 0.021019316333213675, 0.021019603663729451, 0.021019950921706314, 0.021020343597774587, 0.021020766028581106, 0.021021202296759835, 0.021021637054350947, 0.021022056213946278, 0.021022447473180324, 0.021022800659697242, 0.021023107902468148, 0.02102336364947022, 0.021023564560578099, 0.02102370930831866, 0.021023798318796267, 0.021023833481803672, 0.021023817854104863, 0.021023755374164437, 0.021023650600991161, 0.021023508484778998, 0.021023334172935105, 0.021023132851963146, 0.021022909623471583, 0.021022669411177263, 0.02102241689501938, 0.021022156468227422, 0.021021892213256687, 0.021021627892793666, 0.021021366952448696, 0.021021112532223159, 0.021020867484315871, 0.021020634395286036, 0.02102041561100115, 0.021020213263157846, 0.021020029296470604, 0.02101986549587927, 0.021019723513336031, 0.021019604893901693, 0.021019511101015763, 0.021019443540911738, 0.021019403586232447, 0.021019392598966895, 0.021019411952883486, 0.02101946305567829, 0.021019547371096365, 0.021019666441319373, 0.021019821909949957, 0.02102001554596181, 0.021020249269029574, 0.021020525176705225, 0.021020845573971436, 0.02102121300578097, 0.021021630293287338, 0.021022100574592136, 0.021022627350983238, 0.02102321453982391, 0.021023866535485512, 0.021024588280007493, 0.021025385345535899, 0.021026264031055265, 0.0210272314765182, 0.021028295798229381, 0.021029466250306255, 0.021030753418287002, 0.021032169452577978, 0.021033728351557663, 0.021035446306955773, 0.021037342127853336, 0.021039437764646913, 0.021041758961084303, 0.021044336071721945, 0.021047205094915138, 0.02105040898926713, 0.021053999366625741, 0.021058038690714913, 0.021062603162693878, 0.021067786551770978, 0.021073705343899626, 0.021080505756413709, 0.02108837343755178, 0.021097547098964439, 0.021108338024276019, 0.021121158550901395, 0.021136564593233171, 0.021155320747799727, 0.021178502857859501, 0.021207664949238189, 0.02124512137079022, 0.021294445101275167, 0.021361394929480242, 0.021455752306235438, 0.021595251656842545, 0.021814845619045283, 0.022191473992793715, 0.022922549158924468, 0.024642627669036448, 0.030242986711818385, 0.056604642486646678, 0.044427988288333387, 0.027159364832092518, 0.02350076136907104, 0.022296818295437934, 0.021771652081613864, 0.021500163196754674, 0.021343244449711373, 0.021245140095751538, 0.021180141779626006, 0.021135118214177011, 0.021102818057769947, 0.021078983377503295, 0.021060986900913063, 0.021047140027900396, 0.021036319845501594, 0.021027757830749796, 0.02102091500184352, 0.021015405440915087, 0.02101094796694554, 0.02100733476329264, 0.021004410532646928, 0.021002058370732768, 0.021000190038299085, 0.020998739183426662, 0.020997656592553298, 0.020996906875097809, 0.020996466194984832, 0.020996320799999725, 0.020996466194984829, 0.020996906875097802, 0.020997656592553305, 0.020998739183426658, 0.021000190038299098, 0.021002058370732754, 0.021004410532646938, 0.021007334763292643, 0.021010947966945547, 0.021015405440915094, 0.021020915001843502, 0.021027757830749796, 0.021036319845501576, 0.021047140027900389, 0.021060986900913053, 0.021078983377503305, 0.021102818057769937, 0.02113511821417699, 0.021180141779626033, 0.021245140095751566, 0.021343244449711415, 0.021500163196754768, 0.021771652081613992, 0.022296818295437674, 0.023500761369072164, 0.027159364832096012, 0.04442798828835498, 0.05660464248664332, 0.030242986711817861, 0.024642627669036049, 0.022922549158924353, 0.022191473992793913, 0.021814845619045203, 0.021595251656842597, 0.021455752306235427, 0.021361394929480318, 0.021294445101275171, 0.02124512137079021, 0.021207664949238196, 0.021178502857859525, 0.021155320747799758, 0.021136564593233167, 0.021121158550901391, 0.021108338024276013, 0.021097547098964439, 0.02108837343755179, 0.021080505756413709, 0.021073705343899622, 0.021067786551770978, 0.021062603162693878, 0.021058038690714917, 0.021053999366625741, 0.021050408989267133, 0.021047205094915141, 0.021044336071721941, 0.021041758961084307, 0.021039437764646906, 0.02103734212785334, 0.02103544630695578, 0.021033728351557673, 0.021032169452577971, 0.021030753418286998, 0.021029466250306262, 0.021028295798229384, 0.021027231476518207, 0.021026264031055251, 0.021025385345535903, 0.021024588280007493, 0.021023866535485512, 0.021023214539823903, 0.021022627350983234, 0.02102210057459214, 0.021021630293287335, 0.021021213005780963, 0.021020845573971436, 0.021020525176705229, 0.021020249269029581, 0.02102001554596181, 0.02101982190994995, 0.021019666441319376, 0.021019547371096358, 0.02101946305567829, 0.021019411952883482, 0.021019392598966898, 0.02101940358623245, 0.021019443540911745, 0.021019511101015756, 0.02101960489390169, 0.021019723513336037, 0.02101986549587927, 0.021020029296470604, 0.021020213263157853, 0.021020415611001153, 0.021020634395286036, 0.021020867484315871, 0.021021112532223159, 0.021021366952448692, 0.02102162789279367, 0.021021892213256684, 0.021022156468227422, 0.021022416895019377, 0.021022669411177274, 0.021022909623471579, 0.021023132851963142, 0.021023334172935101, 0.021023508484778995, 0.021023650600991164, 0.021023755374164434, 0.021023817854104863, 0.021023833481803679, 0.02102379831879627, 0.021023709308318657, 0.021023564560578106, 0.021023363649470224, 0.021023107902468155, 0.021022800659697246, 0.021022447473180324, 0.021022056213946282, 0.021021637054350947, 0.021021202296759831, 0.021020766028581106, 0.021020343597774587, 0.021019950921706311, 0.021019603663729444, 0.021019316333213672, 0.021019101382242989, 0.021018968382129126, 0.021018923362335372, 0.021018945913843897, 0.021019013030655804, 0.021019123119347914, 0.021019273588814041, 0.021019460943313317, 0.021019680905365878, 0.021019928561851531, 0.021020198525716162, 0.021020485105304181, 0.021020782473500563, 0.021021084829524288, 0.021021386547263984, 0.021021682305365153, 0.021021967195733324, 0.021022236808585861, 0.021022487293559537, 0.021022715397580192, 0.021022918481172027, 0.021023094515602192, 0.021023242063721193, 0.021023360247589412, 0.021023448706008169, 0.02102350754493873, 0.021023537283538129, 0.021023538798206964, 0.021023513266667283, 0.021023462113700323, 0.021023386959795741, 0.021023289573615069, 0.021023171828862004, 0.021023035665887257, 0.021022883058137487, 0.021022715983385135, 0.021022536399545311, 0.021022346224791901, 0.021022147321623913, 0.021021941484497313, 0.021021730430623591, 0.021021515793538437, 0.021021299119057906, 0.021021081863262382, 0.021020865392176468, 0.021020650982844422, 0.021020439825533133, 0.021020233026826936, 0.021020031613409804, 0.021019836536359807, 0.02101964867580771, 0.02101946884583623, 0.021019297799518506, 0.021019136234013681, 0.021018984795654609, 0.021018844084977447, 0.021018714661655495, 0.021018597049310458, 0.021018491740183477, 0.021018399199655736, 0.021018319870615115, 0.021018254177670379, 0.021018202531218694, 0.021018165331376477, 0.021018142971785531, 0.021018135843309898, 0.021018144337640154, 0.021018168850824206, 0.021018209786744728, 0.021018267560565192, 0.02101834260216754, 0.021018435359606045, 0.021018546302603185, 0.021018675926115185, 0.021018824753996111, 0.021018993342792027, 0.021019182285698119, 0.021019392216715119, 0.021019623815043791, 0.02101987780975988, 0.021020154984816193, 0.0210204561844229, 0.021020782318862872, 0.021021134370805265, 0.021021513402187809, 0.02102192056174736, 0.021022357093287886, 0.02102282434478743, 0.021023323778458607, 0.021023856981894247, 0.021024425680447652, 0.021025031751019635, 0.021025677237450312, 0.021026364367743858, 0.021027095573390733, 0.02102787351109453, 0.021028701087260546, 0.021029581485664028, 0.021030518198786863, 0.021031515063397826, 0.021032576301053752, 0.021033706564323237, 0.021034910989683912, 0.021036195258225754, 0.021037565665514017, 0.021039029202235326, 0.021040593647582023, 0.021042267677738664, 0.02104406099234056, 0.021045984462404219, 0.02104805030401705, 0.021050272283063744, 0.021052665957517695, 0.021055248965416492, 0.021058041368673657, 0.021061066065495567, 0.021064349287562054, 0.021067921202549567, 0.021071816648385411, 0.021076076033314156, 0.021080746446129013, 0.02108588303475634, 0.021091550730190339, 0.021097826418599121, 0.021104801700255249, 0.021112586424222368, 0.02112131325913838, 0.021131143663172026, 0.021142275766115329, 0.021154954898562291, 0.021169487837300584, 0.021228666757921108, 0.021327622324019267, 0.021513453505695015, 0.021932499745691676, 0.023250220525573542, 0.03244178951534623, 0.050982489562446304, 0.024071380742773971, 0.021977079351815091, 0.021452566889188594, 0.021249893584209589, 0.021152159853636908, 0.021098207406620325, 0.021065571455601582, 0.021044477991734315, 0.02103013945590361, 0.021019995306567611, 0.021012579924313806, 0.021007007981956535, 0.021002720929872491, 0.020999353798413355, 0.020996661474557764, 0.020994476189121286, 0.020992682301489228, 0.020991201239004425, 0.020989982874204297, 0.020989001536365313, 0.020988256145247824, 0.020987775189039055, 0.020987629049111355, 0.020987955601130228, 0.020989012751982845, 0.020991291011268214, 0.02099577357181482, 0.021004604006917622, 0.021023067690415148, 0.021066830684467075, 0.021198635411242207, 0.021875746657465271, 0.042988081811402713, 0.022785769401546259, 0.0214578349360144, 0.021212270641598301, 0.021123551626456079, 0.021080624779920558, 0.021056093537762201, 0.021040467629488559, 0.02102971849069275, 0.021021885207156265, 0.021015914144668486, 0.021011195189543641, 0.021007353746389634, 0.021004148758120053, 0.02100141902588885, 0.020999053262675614, 0.020996972557317528, 0.020995119674899778, 0.020993452293535764, 0.020991938595919527, 0.020990554317167436, 0.02098928072005166, 0.020988103176370222, 0.020987010153811641, 0.020985992479840534, 0.020985042798474619, 0.020984155163730187, 0.020983324731460196, 0.02098254752308041, 0.020981820242540649, 0.020981140133235543, 0.020980504865229108, 0.020979912445740184, 0.020979361147658922, 0.020978849452171551, 0.020978376002519859, 0.02097793956661792, 0.020977539006764308, 0.020977173255075601, 0.020976841293558583, 0.020976542137962982, 0.020976274824728136, 0.020976038400471807, 0.020975831913574394, 0.020975654407495575, 0.020975504915527354, 0.020975382456741076, 0.020975286032930383, 0.020975214626387358, 0.02097516719837934, 0.020975142688217974, 0.020975140012832637, 0.020975158066777688, 0.020975195722616684, 0.020975251831639129, 0.020975325224874972, 0.020975414714380022, 0.020975519094772386, 0.020975637145005176, 0.020975767630364739, 0.020975909304686895, 0.020976060912785557, 0.020976221193089475, 0.020976388880483043, 0.020976562709347203, 0.020976741416795022, 0.020976923746095485, 0.020977108450276904, 0.020977294295898737, 0.020977480066978259, 0.020977664569055407, 0.020977846633375572, 0.020978025121167677, 0.020978198927991076, 0.020978366988121878, 0.020978528278946609, 0.020978681825328416, 0.020978826703909013, 0.020978962047307811, 0.020979087048178528, 0.020979200963083339, 0.020979303116144588, 0.020979392902435105, 0.020979469791069773, 0.020979533327963248, 0.02097958313822211, 0.020979618928142783, 0.020979640486791476, 0.020979647687146896, 0.020979642886292511, 0.020979628504610378, 0.020979604604677168, 0.020979571290567014, 0.020979528707522448, 0.020979477041497139, 0.020979416518573313, 0.020979347404258053, 0.02097927000266319, 0.020979184655574051, 0.020979091741413391, 0.020978991674106894, 0.020978884901857196, 0.020978771905833998, 0.020978653198787264, 0.020978529323591767, 0.020978400851729851, 0.020978268381720445, 0.020978132537501137, 0.020977993966770345, 0.02097785333929585, 0.020977711345195674, 0.020977568693196405, 0.020977426108873393, 0.020977284332876565, 0.020977144119144728, 0.02097700623311002, 0.02097687144989361, 0.020976740552492427, 0.020976614329955914, 0.020976493575550443, 0.020976379084908316, 0.020976271654157067, 0.020976172078023655, 0.020976081147907537, 0.020975999649915162, 0.020975928362848079, 0.020975868056135685, 0.020975819487703207, 0.020975783401764848, 0.020975760526531616, 0.020975751571823225, 0.020975757226573268, 0.020975778156216953, 0.020975814999951631, 0.020975868367860279, 0.02097593883788983, 0.02097602695267722, 0.020976133216218173, 0.020976258090375659, 0.020976401991228084, 0.02097656528526036, 0.020976748285405054, 0.020976951246945291, 0.020977174363296366, 0.020977417761688981, 0.020977681498783627, 0.020977965556252989, 0.020978269836377527, 0.020978594157707742, 0.020978938250856286, 0.020979301754492544, 0.020979684211622222, 0.020980085066244228, 0.020980503660486986, 0.020980939232334371, 0.020981390914059331, 0.020981857731488598, 0.020982338604224871, 0.020982832346952737, 0.02098333767195066, 0.020983853192922536, 0.0209843774302487, 0.020984908817736691, 0.020985445710926511, 0.020985986396973931, 0.020986529106097766, 0.020987072024535133, 0.020987613308902576, 0.020988151101811806, 0.020988683548540298, 0.020989208814509067, 0.020989725103276301, 0.020990230674719248, 0.020990723863048125, 0.020991203094279341, 0.020991666902790682, 0.020992113946590788, 0.020992543020958473, 0.020992953070143944, 0.020993343196873397, 0.020993712669456887, 0.020994060926365965, 0.020994387578218549, 0.020994692407179973, 0.020994975363859369, 0.020995236561844533, 0.02099547627007594, 0.020995694903306779, 0.020995893010931879, 0.020996071264492305, 0.02099623044417355, 0.02099637142461587, 0.020996495160345081, 0.020996602671112752, 0.020996695027408783, 0.020996773336377318, 0.020996838728331923, 0.020996892344028767, 0.020996935322819561, 0.020996968791769571, 0.020996993855792734, 0.020997011588824589, 0.020997023026027326, 0.020997029156997579, 0.020997030919929431, 0.020997029196669528, 0.020997024808591096, 0.020997018513206057, 0.020997011001430737, 0.020997002895419919, 0.020996994746885388, 0.020996987035819641, 0.020996980169550337, 0.020996974482059283, 0.020996970233507453, 0.020996967609917316, 0.02099696672297402], [0.021006104898918344, 0.021006099517509418, 0.021006083394024443, 0.021006056590612835, 0.021006019210604573, 0.021005971398135342, 0.021005913337629259, 0.021005845253146221, 0.021005767407603314, 0.021005680101881193, 0.021005583673827908, 0.021005478497174618, 0.021005364980378222, 0.021005243565407825, 0.021005114726492129, 0.02100497896884632, 0.021004836827396914, 0.021004688865523882, 0.021004535673839236, 0.021004377869021474, 0.021004216092725143, 0.021004051010584307, 0.021003883311328825, 0.021003713706031338, 0.021003542927502703, 0.021003371729852852, 0.021003200888233473, 0.021003031198778221, 0.021002863478755351, 0.021002698566947028, 0.021002537324268683, 0.021002380634641039, 0.021002229406126154, 0.021002084572338296, 0.021001947094138721, 0.021001817961622014, 0.021001698196400156, 0.02100158885418766, 0.021001491027688668, 0.021001405849782988, 0.021001334497003546, 0.02100127819329194, 0.021001238214011172, 0.021001215890185717, 0.021001212612927325, 0.021001229837990867, 0.021001269090386736, 0.021001331968955213, 0.021001420150781734, 0.021001535395301443, 0.021001679547903523, 0.021001854542802793, 0.021002062404894817, 0.021002305250252755, 0.021002585284858721, 0.021002904801089895, 0.02100326617140235, 0.021003671838575225, 0.021004124301799203, 0.021004626097822172, 0.02100517977631032, 0.021005787868556388, 0.021006452848683237, 0.021007177086569722, 0.021007962791888077, 0.021008811948913013, 0.021009726242167098, 0.021010706973526583, 0.021011754972142364, 0.021012870499432779, 0.021014053152457999, 0.021015301770140566, 0.021016614347965458, 0.021017987967848869, 0.0210194187506412, 0.021020901839033115, 0.021022431418267484, 0.021024000780857564, 0.02102560243937936, 0.021027228288368241, 0.021028869812578541, 0.021030518334693066, 0.021032165291465389, 0.021033802523782702, 0.021035422563779067, 0.021037018901310725, 0.021038586213025068, 0.021040120539840005, 0.021041619402571897, 0.02104308185016893, 0.021044508439883054, 0.021045901153117785, 0.021047263254111485, 0.021048599100731334, 0.021049913917352409, 0.021051213539160465, 0.021052504135471509, 0.021053791917113991, 0.021055082829900373, 0.021056382233033837, 0.021057694558225343, 0.021059022942571452, 0.021060368826089818, 0.02106173150348889, 0.021063107619617761, 0.021064490599631058, 0.021065870009001883, 0.021067230846266306, 0.021068552784366836, 0.021069809396733207, 0.021070967434244445, 0.021071986261472761, 0.021072817616937054, 0.021073405932131369, 0.021073689522769258, 0.021073603039448115, 0.021073081606993612, 0.021072067047670125, 0.021070516410541092, 0.021068412645726078, 0.021065776614244493, 0.021062678726393076, 0.021059247506261248, 0.021055671631552166, 0.02105219201253377, 0.021049081771227739, 0.021046614754697365, 0.021045026968412584, 0.021044478752519875, 0.02104454102846123, 0.021044724788771545, 0.021045021075613193, 0.021045415744278515, 0.021045890539016617, 0.021046424414521349, 0.02104699495748159, 0.02104757976631973, 0.021048157670124037, 0.021048709703179534, 0.021049219791618352, 0.021049675146473837, 0.021050066387779866, 0.021050387444770065, 0.021050635287470046, 0.021050809546480347, 0.021050912072850009, 0.021050946481172145, 0.021050917708634109, 0.021050831612430668, 0.021050694618795621, 0.021050513429488563, 0.021050294786038024, 0.021050045288269894, 0.021049771261369782, 0.02104947866461512, 0.021049173034646623, 0.021048859456448476, 0.021048542555847406, 0.021048226508152249, 0.021047915058418316, 0.021047611549657962, 0.021047318956083808, 0.021047039919140101, 0.021046776784646632, 0.021046531639847165, 0.021046306349532869, 0.021046102590709225, 0.021045921885506684, 0.021045765632211413, 0.021045635134424326, 0.021045531628454375, 0.021045456309122371, 0.021045410354203823, 0.021045394947776151, 0.021045411302764872, 0.021045460683006327, 0.021045544425166034, 0.021045663960874459, 0.021045820839466933, 0.021046016751746624, 0.021046253555228094, 0.021046533301369408, 0.021046858265363677, 0.021047230979141261, 0.021047654268334184, 0.021048131294081285, 0.021048665600711284, 0.021049261170540286, 0.02104992248727048, 0.021050654609791958, 0.021051463258587158, 0.021052354917441705, 0.021053336953807084, 0.021054417761981907, 0.021055606934335776, 0.021056915467168084, 0.021058356009579164, 0.021059943166073812, 0.021061693866717364, 0.021063627822799757, 0.021065768091527007, 0.021068141780815557, 0.021070780935628624, 0.021073723661657235, 0.021077015562283499, 0.02108071159333047, 0.021084878481162771, 0.02108959790955096, 0.021094970769276154, 0.021101122897671812, 0.021108212939298019, 0.021116443277460081, 0.021126075494323569, 0.02113745264697094, 0.021151032037083916, 0.021167434550453931, 0.021187520916595735, 0.021212513138665862, 0.021244194565855926, 0.021285252845991046, 0.021339895723351796, 0.021415019531569886, 0.021522579733132215, 0.021684814443949617, 0.021947027839593652, 0.022413495161931321, 0.023369271463385473, 0.025822607023510663, 0.03502994097117211, 0.066307750916737185, 0.035662570830727928, 0.025582105983995854, 0.023080077955636366, 0.022157252882422134, 0.02172657228822648, 0.021493893345394748, 0.021355149665131058, 0.021266358059376218, 0.021206444245985653, 0.021164325074331622, 0.02113373774134767, 0.021110935507381488, 0.021093570502737673, 0.021080113947830791, 0.021069537918951758, 0.02106113226799159, 0.021054395006382301, 0.021048964388280998, 0.021044575569251513, 0.021041032235699798, 0.02103818762821304, 0.021035931621579143, 0.021034181811824003, 0.021032877323815025, 0.021031974518785797, 0.021031444074086813, 0.021031269098200731, 0.021031444074086816, 0.021031974518785791, 0.021032877323815029, 0.021034181811824003, 0.021035931621579157, 0.021038187628213027, 0.021041032235699805, 0.021044575569251524, 0.021048964388281008, 0.021054395006382308, 0.021061132267991577, 0.021069537918951751, 0.02108011394783077, 0.021093570502737666, 0.021110935507381474, 0.021133737741347667, 0.021164325074331605, 0.021206444245985629, 0.02126635805937626, 0.021355149665131079, 0.021493893345394803, 0.021726572288226619, 0.022157252882422335, 0.023080077955635856, 0.025582105983998682, 0.035662570830737747, 0.066307750916733951, 0.035029940971170667, 0.025822607023510257, 0.023369271463385272, 0.022413495161931262, 0.021947027839593788, 0.021684814443949558, 0.021522579733132253, 0.021415019531569879, 0.021339895723351859, 0.021285252845991049, 0.021244194565855922, 0.021212513138665862, 0.021187520916595752, 0.021167434550453945, 0.021151032037083923, 0.021137452646970936, 0.021126075494323566, 0.021116443277460081, 0.021108212939298029, 0.021101122897671815, 0.021094970769276161, 0.02108959790955096, 0.021084878481162767, 0.021080711593330477, 0.021077015562283502, 0.021073723661657235, 0.021070780935628634, 0.02106814178081555, 0.021065768091527003, 0.021063627822799757, 0.021061693866717357, 0.021059943166073816, 0.021058356009579171, 0.021056915467168084, 0.02105560693433578, 0.02105441776198191, 0.021053336953807081, 0.021052354917441712, 0.021051463258587162, 0.021050654609791962, 0.021049922487270476, 0.021049261170540283, 0.02104866560071128, 0.021048131294081281, 0.021047654268334187, 0.021047230979141261, 0.021046858265363674, 0.021046533301369401, 0.0210462535552281, 0.021046016751746621, 0.021045820839466933, 0.021045663960874459, 0.021045544425166044, 0.021045460683006331, 0.021045411302764876, 0.021045394947776141, 0.021045410354203816, 0.021045456309122378, 0.021045531628454371, 0.021045635134424326, 0.021045765632211409, 0.021045921885506681, 0.021046102590709222, 0.021046306349532872, 0.021046531639847169, 0.021046776784646629, 0.021047039919140101, 0.021047318956083805, 0.021047611549657962, 0.021047915058418305, 0.021048226508152256, 0.021048542555847406, 0.021048859456448472, 0.021049173034646627, 0.02104947866461512, 0.021049771261369775, 0.02105004528826989, 0.021050294786038017, 0.02105051342948857, 0.021050694618795621, 0.021050831612430668, 0.021050917708634109, 0.021050946481172148, 0.021050912072850012, 0.021050809546480351, 0.021050635287470053, 0.021050387444770058, 0.021050066387779866, 0.02104967514647384, 0.021049219791618355, 0.021048709703179531, 0.021048157670124031, 0.021047579766319734, 0.02104699495748159, 0.021046424414521345, 0.021045890539016617, 0.021045415744278522, 0.021045021075613193, 0.021044724788771549, 0.021044541028461233, 0.021044478752519878, 0.02104450995281313, 0.021044602755520378, 0.021044754798535625, 0.021044962250986187, 0.021045219965142713, 0.021045521675673022, 0.021045860234297182, 0.021046227866392743, 0.021046616435688528, 0.02104701770381957, 0.021047423573039105, 0.021047826302565652, 0.021048218691622315, 0.021048594224933694, 0.021048947179047549, 0.02104927269015737, 0.021049566785990279, 0.021049826385728852, 0.021050049272845359, 0.021050234046176515, 0.0210503800546222, 0.021050487320593437, 0.021050556456850708, 0.021050588580747036, 0.021050585229192446, 0.021050548276949316, 0.021050479860193337, 0.021050382306664756, 0.02105025807320636, 0.021050109691045905, 0.021049939718831467, 0.021049750703162604, 0.021049545146170461, 0.02104932547957333, 0.021049094044561498, 0.021048853076834594, 0.021048604696115532, 0.021048350899490718, 0.021048093557966625, 0.021047834415684568, 0.021047575091291577, 0.021047317081024058, 0.021047061763118352, 0.021046810403216935, 0.021046564160490423, 0.021046324094241634, 0.021046091170799652, 0.021045866270548552, 0.021045650194967274, 0.021045443673584397, 0.021045247370775372, 0.021045061892348938, 0.021044887791886031, 0.021044725576808018, 0.021044575714162003, 0.021044438636120037, 0.021044314745195868, 0.021044204419188885, 0.021044108015868951, 0.02104402587741927, 0.021043958334657338, 0.021043905711055234, 0.021043868326582844, 0.021043846501397775, 0.021043840559407393, 0.021043850831728148, 0.021043877660068992, 0.021043921400065023, 0.021043982424589255, 0.021044061127070118, 0.021044157924843904, 0.021044273262571807, 0.021044407615753033, 0.021044561494366523, 0.021044735446676167, 0.021044930063236558, 0.021045145981139074, 0.021045383888541474, 0.021045644529528239, 0.021045928709353214, 0.021046237300121989, 0.021046571246977321, 0.021046931574858953, 0.021047319395917332, 0.021047735917671399, 0.021048182452011954, 0.021048660425166895, 0.02104917138875971, 0.021049717032112784, 0.021050299195968729, 0.021050919887829547, 0.021051581299144195, 0.021052285824612098, 0.021053036083912846, 0.02105383494622428, 0.021054685557951779, 0.021055591374164975, 0.021056556194325126, 0.021057584202991444, 0.021058680016321156, 0.021059848735330847, 0.021061096007072486, 0.021062428095103388, 0.021063851960906564, 0.021065375358257584, 0.021067006942953808, 0.021068756400841979, 0.021070634597728049, 0.021072653755564118, 0.021074827660327915, 0.021077171908301582, 0.021079704199099821, 0.021082444685901196, 0.021085416396047035, 0.021088645738688312, 0.021092163120752693, 0.021096003698547749, 0.021100208300331019, 0.021104824565897046, 0.021109908363694523, 0.021115525565683808, 0.021121754287240797, 0.021128687737083811, 0.021136437875172831, 0.021145140151935436, 0.021154959710922062, 0.021166099596063217, 0.021178811740943333, 0.021229989160688967, 0.021313678808411927, 0.021465540632605164, 0.021788742436605529, 0.022695169176806942, 0.027322826194844246, 0.084818354206743274, 0.025950936806096826, 0.022333399176999783, 0.021594286031975184, 0.021332141476898221, 0.021211393180942756, 0.021146550990002132, 0.021108017190485936, 0.02108340413021291, 0.021066806961772155, 0.021055130113985198, 0.021046628407369827, 0.021040260009056889, 0.021035373762870995, 0.02103154741637308, 0.021028499190287986, 0.021026037302255853, 0.02102403027789608, 0.021022389339559033, 0.021021058381390789, 0.02102000936235051, 0.021019242495815497, 0.021018792080427211, 0.021018740936642639, 0.021019250532213939, 0.021020623291839815, 0.021023437638576174, 0.021028864972778869, 0.021039501654131234, 0.021061918012328224, 0.021116439805450873, 0.021291171245767068, 0.022366448183384659, 0.045246703540053668, 0.022272172293915673, 0.02140691318918481, 0.021213645357420003, 0.021138762078155536, 0.021101194248555343, 0.021079246955136487, 0.021065057647102446, 0.021055191008126466, 0.021047941155825613, 0.021042378030931588, 0.021037957094386162, 0.021034341119646416, 0.021031311600974219, 0.021028721602242017, 0.021026469214860798, 0.021024481898982424, 0.021022706869215899, 0.02102110498499694, 0.021019646749913364, 0.021018309621976351, 0.021017076162445771, 0.021015932734869562, 0.021014868573476911, 0.021013875104676144, 0.02101294544527486, 0.021012074026221437, 0.021011256306915652, 0.021010488555825709, 0.021009767680306879, 0.021009091093389179, 0.021008456608667726, 0.021007862356788067, 0.021007306718692876, 0.021006788271999484, 0.02100630574775177, 0.02100585799543276, 0.021005443954600821, 0.021005062631870779, 0.021004713082231809, 0.021004394393901577, 0.02100410567607601, 0.021003846049058986, 0.021003614636354022, 0.021003410558378278, 0.021003232927521202, 0.021003080844320603, 0.021002953394570003, 0.021002849647204339, 0.021002768652839277, 0.021002709442861929, 0.021002671028990207, 0.021002652403234002, 0.021002652538204589, 0.02100267038773013, 0.02100270488774416, 0.021002754957421956, 0.021002819500545482, 0.021002897407083228, 0.02100298755497464, 0.021003088812112141, 0.021003200038515548, 0.021003320088694957, 0.021003447814198741, 0.02100358206634308, 0.021003721699118395, 0.021003865572267178, 0.021004012554525744, 0.021004161527019907, 0.021004311386802841, 0.021004461050519885, 0.021004609458182673, 0.021004755577031825, 0.021004898405464503, 0.021005036977000183, 0.021005170364255733, 0.021005297682897883, 0.021005418095539824, 0.02100553081554676, 0.021005635110714078, 0.021005730306781781, 0.021005815790748433, 0.021005891013949163, 0.021005955494863348, 0.021006008821619914, 0.021006050654170931, 0.021006080726107632, 0.021006098846096524, 0.021006104898918344, 0.021006100863141999, 0.021006088774733211, 0.021006068690392326, 0.021006040704419492, 0.021006004948415254, 0.021005961590864534, 0.021005910836606502, 0.021005852926194189, 0.021005788135147956, 0.021005716773107808, 0.02100563918288989, 0.021005555739453157, 0.02100546684878243, 0.021005372946694311, 0.021005274497572703, 0.021005171993040809, 0.021005065950576003, 0.021004956912074602, 0.021004845442372539, 0.021004732127728101, 0.021004617574272317, 0.021004502406431962, 0.021004387265329837, 0.021004272807165825, 0.021004159701581974, 0.021004048630013927, 0.021003940284029767, 0.021003835363657158, 0.021003734575698145, 0.021003638632030419, 0.021003548247892613, 0.021003464140150661, 0.021003387025540859, 0.021003317618884788, 0.021003256631270176, 0.021003204768191085, 0.02100316272764002, 0.021003131198144079, 0.021003110856736503, 0.0210031023668549, 0.021003106376156735, 0.021003123514243108, 0.021003154390281466, 0.02100319959051852, 0.021003259675675005, 0.021003335178214979, 0.021003426599483194, 0.021003534406705816, 0.021003659029851462, 0.021003800858351969, 0.021003960237684697, 0.021004137465821773, 0.021004332789555095, 0.021004546400710422, 0.021004778432268476, 0.021005028954416784, 0.02100529797056172, 0.02100558541333717, 0.021005891140653273, 0.021006214931836582, 0.021006556483921173, 0.021006915408158775, 0.021007291226824369, 0.021007683370402777, 0.021008091175249138, 0.021008513881824304, 0.021008950633611578, 0.021009400476826257, 0.021009862361031015, 0.021010335140769866, 0.021010817578328716, 0.021011308347722198, 0.02101180603999319, 0.021012309169893148, 0.021012816183987398, 0.021013325470200312, 0.021013835368781, 0.021014344184630943, 0.021014850200892714, 0.021015351693653799, 0.021015846947575405, 0.021016334272211591, 0.021016812018745539, 0.021017278596835994, 0.021017732491242145, 0.021018172277880803, 0.021018596638966568, 0.021019004376896355, 0.02101939442656197, 0.021019765865809996, 0.021020117923815126, 0.02102044998718838, 0.021020761603704342, 0.021021052483598077, 0.021021322498449232, 0.021021571677736009, 0.021021800203201092, 0.021022008401224455, 0.021022196733440406, 0.021022365785868708, 0.021022516256850473, 0.021022648944089457, 0.021022764731097897, 0.021022864573335864, 0.021022949484313661, 0.02102302052190173, 0.021023078775061474, 0.021023125351177313, 0.021023161364134738, 0.021023187923254246, 0.021023206123156887, 0.021023217034605524, 0.021023221696337226, 0.021023221107876973, 0.021023216223301396, 0.021023207945904249, 0.021023197123701168, 0.02102318454570196, 0.021023170938872043, 0.021023156965701478, 0.021023143222299465, 0.021023130236934109, 0.02102311846894141, 0.02102310830793257, 0.021023100073236468, 0.021023094013521579, 0.021023090306551164, 0.021023089059035018], [0.021048583787158619, 0.021048579468457809, 0.021048566531024319, 0.021048545030797488, 0.021048515060785932, 0.021048476750735557, 0.021048430266671723, 0.021048375810322231, 0.021048313618429779, 0.021048243961964089, 0.021048167145245364, 0.021048083504992248, 0.021047993409308571, 0.021047897256624253, 0.0210477954746064, 0.021047688519057695, 0.02104757687281918, 0.021047461044695265, 0.021047341568418695, 0.021047219001673258, 0.021047093925192099, 0.021046966941948738, 0.021046838676458287, 0.021046709774205068, 0.021046580901213009, 0.021046452743774216, 0.021046326008350519, 0.021046201421662407, 0.021046079730978634, 0.021045961704619354, 0.021045848132684675, 0.021045739828019799, 0.021045637627426794, 0.021045542393132076, 0.021045455014517388, 0.021045376410120442, 0.021045307529909702, 0.021045249357835232, 0.021045202914654785, 0.021045169261030554, 0.021045149500887421, 0.021045144785017539, 0.021045156314909122, 0.021045185346767685, 0.021045233195687088, 0.021045301239913407, 0.02104539092512768, 0.021045503768652683, 0.021045641363463669, 0.021045805381852949, 0.021045997578562646, 0.021046219793158048, 0.021046473951365888, 0.021046762065046836, 0.021047086230409798, 0.02104744862400865, 0.021047851495989842, 0.021048297159986681, 0.021048787978985073, 0.021049326346423727, 0.021049914661747233, 0.021050555299613711, 0.021051250571985852, 0.021052002682421047, 0.021052813672045142, 0.021053685356966462, 0.021054619257286449, 0.021055616518407858, 0.021056677826046526, 0.021057803317213002, 0.02105899249042735, 0.021060244119511174, 0.021061556176382456, 0.021062925769236664, 0.021064349103175607, 0.021065821470561796, 0.021067337277949211, 0.021068890115221804, 0.021070472870479719, 0.02107207789128606, 0.021073697189296397, 0.021075322681364212, 0.021076946456393124, 0.021078561053999877, 0.021080159738949961, 0.021081736754695286, 0.021083287540347811, 0.021084808897978542, 0.021086299100909207, 0.021087757938147288, 0.021089186694695408, 0.021090588071551175, 0.02109196605232742, 0.021093325725265608, 0.021094673069885231, 0.021096014716685787, 0.021097357686398761, 0.021098709112549546, 0.021100075947819989, 0.021101464651161202, 0.02110288084900885, 0.021104328960475004, 0.021105811773194216, 0.021107329953789986, 0.021108881475012879, 0.02111046094100864, 0.021112058793771794, 0.021113660389007156, 0.021115244940456149, 0.021116784351277659, 0.021118241983439874, 0.021119571466493132, 0.021120715721357559, 0.021121606477815601, 0.021122164697210066, 0.021122302465646694, 0.021121927070222542, 0.021120948053069286, 0.02111928795478556, 0.021116897066348023, 0.021113771646792387, 0.021109973634891244, 0.021105647993317937, 0.021101031958897225, 0.021096449585262224, 0.021092286276719347, 0.021088942375983379, 0.021086771830113309, 0.02108601916771756, 0.021086107385032339, 0.02108636725402474, 0.021086784855645097, 0.021087338363236008, 0.021087999899484351, 0.021088737776483204, 0.021089518844873333, 0.021090310696296723, 0.021091083518605887, 0.021091811479160037, 0.021092473590728814, 0.021093054082887436, 0.021093542350834205, 0.021093932580732763, 0.0210942231581011, 0.021094415958304157, 0.021094515601587739, 0.021094528734535399, 0.021094463379294281, 0.021094328373907834, 0.021094132912822482, 0.021093886186349404, 0.021093597111203684, 0.021093274140548287, 0.02109292514049509, 0.021092557320062995, 0.021092177202585743, 0.021091790628056602, 0.02109140277758122, 0.02109101821278004, 0.021090640924515673, 0.021090274386661018, 0.021089921611748118, 0.021089585206252443, 0.021089267423992607, 0.021088970216684259, 0.021088695281110178, 0.021088444102679169, 0.02108821799536988, 0.02108801813821114, 0.021087845608554732, 0.021087701412463456, 0.021087586512577527, 0.021087501853844174, 0.021087448387505446, 0.021087427093742991, 0.021087439003379289, 0.021087485219036264, 0.021087566936156443, 0.021087685464300846, 0.021087842249154252, 0.021088038895692881, 0.021088277193005531, 0.021088559141307441, 0.021088886981750612, 0.021089263229717443, 0.021089690712390918, 0.021090172611529616, 0.021090712512546066, 0.021091314461201084, 0.02109198302949751, 0.021092723392696782, 0.021093541419813518, 0.021094443780490729, 0.021095438071856584, 0.021096532969860474, 0.021097738410740967, 0.021099065809779587, 0.021100528326454975, 0.021102141187694132, 0.021103922084343845, 0.021105891660569222, 0.021108074122075077, 0.021110497997478196, 0.021113197098767241, 0.021116211742937836, 0.021119590319625257, 0.021123391321953365, 0.021127686004604421, 0.021132561901653177, 0.021138127538684881, 0.021144518828016955, 0.021151907873628577, 0.021160515286251184, 0.02117062770990117, 0.021182623250437113, 0.021197009170029087, 0.021214479127737506, 0.021236002502926423, 0.021262968180247442, 0.021297424419661062, 0.021342495994070849, 0.021403145971062146, 0.021487650697985493, 0.021610666580949491, 0.02180019809010561, 0.022115335494149135, 0.022698766321002845, 0.023968526230231425, 0.027567001126910084, 0.042986140830989748, 0.059588893458581649, 0.030892709667191671, 0.024624812097113178, 0.022811811387754989, 0.022078437142732499, 0.021716258409892469, 0.021513006650217058, 0.021388436949720063, 0.02130703357362855, 0.021251190894381034, 0.021211404299187608, 0.021182189800615359, 0.021160210227129737, 0.021143344510776353, 0.021130194967044689, 0.021119812287399009, 0.021111535060659901, 0.021104892509392213, 0.021099543591967855, 0.021095237794326469, 0.021091789279948838, 0.021089059510098967, 0.021086945384083212, 0.021085371075961659, 0.021084282419860882, 0.021083643114181701, 0.021083432283129901, 0.021083643114181701, 0.021084282419860868, 0.021085371075961663, 0.021086945384083209, 0.02108905951009897, 0.021091789279948828, 0.021095237794326479, 0.021099543591967869, 0.02110489250939223, 0.021111535060659915, 0.021119812287398995, 0.021130194967044685, 0.021143344510776329, 0.021160210227129723, 0.021182189800615332, 0.021211404299187615, 0.021251190894381017, 0.021307033573628519, 0.021388436949720115, 0.021513006650217104, 0.021716258409892563, 0.022078437142732728, 0.022811811387755367, 0.024624812097112023, 0.030892709667199262, 0.059588893458602493, 0.042986140830970208, 0.027567001126910035, 0.023968526230231359, 0.022698766321002727, 0.022115335494149096, 0.021800198090105711, 0.021610666580949456, 0.021487650697985521, 0.021403145971062146, 0.021342495994070905, 0.021297424419661058, 0.021262968180247428, 0.021236002502926427, 0.02121447912773752, 0.021197009170029101, 0.021182623250437113, 0.021170627709901163, 0.02116051528625118, 0.021151907873628577, 0.021144518828016965, 0.021138127538684881, 0.02113256190165318, 0.021127686004604424, 0.021123391321953355, 0.021119590319625257, 0.021116211742937843, 0.021113197098767238, 0.021110497997478203, 0.021108074122075073, 0.021105891660569226, 0.021103922084343845, 0.021102141187694136, 0.021100528326454975, 0.021099065809779587, 0.021097738410740963, 0.021096532969860474, 0.021095438071856584, 0.021094443780490729, 0.021093541419813532, 0.021092723392696779, 0.021091983029497517, 0.021091314461201084, 0.021090712512546062, 0.021090172611529616, 0.021089690712390911, 0.021089263229717436, 0.021088886981750616, 0.021088559141307445, 0.021088277193005531, 0.021088038895692891, 0.021087842249154252, 0.02108768546430085, 0.021087566936156443, 0.021087485219036271, 0.021087439003379289, 0.021087427093742984, 0.02108744838750545, 0.021087501853844174, 0.021087586512577534, 0.021087701412463456, 0.021087845608554728, 0.021088018138211144, 0.021088217995369876, 0.021088444102679162, 0.021088695281110181, 0.021088970216684263, 0.02108926742399261, 0.021089585206252443, 0.021089921611748112, 0.021090274386661025, 0.021090640924515666, 0.02109101821278005, 0.021091402777581227, 0.021091790628056595, 0.02109217720258575, 0.021092557320063002, 0.021092925140495086, 0.021093274140548283, 0.021093597111203677, 0.0210938861863494, 0.021094132912822479, 0.021094328373907827, 0.021094463379294277, 0.021094528734535406, 0.021094515601587739, 0.021094415958304157, 0.0210942231581011, 0.021093932580732763, 0.021093542350834198, 0.02109305408288744, 0.021092473590728814, 0.02109181147916003, 0.021091083518605877, 0.021090310696296719, 0.021089518844873326, 0.021088737776483204, 0.021087999899484355, 0.021087338363236004, 0.021086784855645094, 0.021086367254024737, 0.021086107385032339, 0.021086019167717556, 0.021086063374109738, 0.021086194752952578, 0.021086409639997663, 0.021086702113234473, 0.021087064256561708, 0.021087486502561498, 0.021087958031295703, 0.021088467199617288, 0.021089001975379044, 0.021089550352922301, 0.02109010072991644, 0.021090642230434331, 0.02109116496448124, 0.021091660219480036, 0.02109212058398844, 0.021092540007860917, 0.021092913805993894, 0.021093238614669392, 0.021093512310411476, 0.021093733901336172, 0.021093903400397358, 0.021094021688903352, 0.021094090377385868, 0.021094111669503719, 0.021094088233277838, 0.021094023082672744, 0.021093919471415076, 0.021093780799999542, 0.021093610536084953, 0.021093412147915019, 0.021093189049995815, 0.021092944559996839, 0.021092681865692939, 0.021092404000703585, 0.021092113827792084, 0.021091814028541472, 0.021091507098309183, 0.021091195345466114, 0.02109088089403887, 0.021090565688987758, 0.02109025150346331, 0.021089939947487622, 0.02108963247760106, 0.021089330407098608, 0.02108903491655437, 0.021088747064396295, 0.021088467797347497, 0.021088197960596421, 0.021087938307595849, 0.021087689509421862, 0.021087452163649476, 0.021087226802721265, 0.021087013901801878, 0.021086813886122997, 0.021086627137833432, 0.02108645400237541, 0.021086294794413481, 0.021086149803346124, 0.021086019298431929, 0.021085903533564047, 0.021085802751727223, 0.021085717189171203, 0.021085647079335253, 0.021085592656556726, 0.021085554159597168, 0.02108553183501799, 0.021085525940437704, 0.021085536747701812, 0.021085564545996305, 0.021085609644935503, 0.0210856723776548, 0.021085753103939484, 0.021085852213421168, 0.021085970128874153, 0.021086107309645757, 0.021086264255255716, 0.021086441509202431, 0.021086639663016042, 0.021086859360601864, 0.021087101302921268, 0.021087366253061839, 0.021087655041754087, 0.021087968573398171, 0.021088307832671838, 0.021088673891799407, 0.021089067918571749, 0.021089491185219668, 0.021089945078256553, 0.021090431109423154, 0.021090950927886265, 0.021091506333865979, 0.021092099293892625, 0.021092731957926204, 0.02109340667860797, 0.021094126032957992, 0.02109489284688456, 0.021095710222933717, 0.021096581571781282, 0.021097510648058725, 0.021098501591211342, 0.021099558972216135, 0.02110068784714287, 0.021101893818731642, 0.021103183107391656, 0.021104562633309155, 0.021106040111701162, 0.021107624163681844, 0.021109324445742737, 0.021111151801513829, 0.02111311844030709, 0.021115238147995732, 0.021117526537114007, 0.021120001344759401, 0.021122682789054513, 0.021125593997731985, 0.021128761526050834, 0.021132215986020258, 0.021135992815190373, 0.021140133221616106, 0.021144685352781589, 0.021149705751384529, 0.021155261181498776, 0.021161430937051386, 0.021168309784139402, 0.021176011744503381, 0.021184675007072457, 0.021194468369576704, 0.021205599780991301, 0.021249960510744532, 0.021321083541172469, 0.021446328435172992, 0.021700083416203227, 0.022349011466330181, 0.024994054483853181, 0.062598957450946083, 0.029866962554035092, 0.022869957761598395, 0.021788381275144698, 0.021443252889621112, 0.021292609567611774, 0.021214231650847907, 0.021168579789235628, 0.021139806353931909, 0.021120579682467257, 0.021107138795038338, 0.021097397768542168, 0.021090126995533764, 0.021084565596362164, 0.021080224130576145, 0.021076778163799159, 0.021074008164500467, 0.021071764461393326, 0.021069946604126095, 0.021068491683368423, 0.021067368996205798, 0.021066580301027402, 0.021066166651799792, 0.021066225331734318, 0.021066945371961552, 0.021068681644076166, 0.021072117412751515, 0.021078652428109336, 0.021091446110286672, 0.021118726380506669, 0.021187195818225514, 0.021423731221422746, 0.023271675070055665, 0.031889368721170763, 0.021985466319652355, 0.021389590240320888, 0.021235051582059364, 0.021171435613576393, 0.021138463470847236, 0.021118806149168463, 0.021105919531057629, 0.021096866834114027, 0.021090162187800254, 0.021084984268897069, 0.021080847140954317, 0.021077447393765471, 0.021074587140452121, 0.021072132598106943, 0.021069990570006671, 0.021068094471293423, 0.021066395697129366, 0.021064858109232951, 0.021063454409680233, 0.021062163693644199, 0.021060969759489737, 0.021059859917676838, 0.021058824135622208, 0.021057854413461224, 0.021056944321453441, 0.021056088652471723, 0.021055283157706717, 0.021054524343411693, 0.021053809313021546, 0.021053135643419464, 0.021052501287199737, 0.02105190449493359, 0.021051343752979894, 0.021050817733487281, 0.021050325254038427, 0.021049865244978896, 0.021049436722913213, 0.021049038769180854, 0.021048670512375807, 0.02104833111416499, 0.021048019757809257, 0.021047735638906061, 0.021047477957964317, 0.021047245914494032, 0.021047038702351129, 0.021046855506125041, 0.021046695498394424, 0.021046557837707865, 0.021046441667172084, 0.021046346113551877, 0.021046270286803535, 0.021046213279978847, 0.021046174169449108, 0.021046152015409082, 0.021046145862629654, 0.021046154741435109, 0.021046177668886994, 0.021046213650161138, 0.021046261680108341, 0.021046320744991909, 0.021046389824397296, 0.021046467893310272, 0.02104655392436066, 0.021046646890228629, 0.021046745766209633, 0.021046849532933423, 0.021046957179230524, 0.021047067705137982, 0.021047180125033742, 0.021047293470886706, 0.021047406795606655, 0.021047519176476005, 0.021047629718642064, 0.021047737558646279, 0.021047841867964583, 0.02104794185653017, 0.021048036776209054, 0.021048125924196654, 0.021048208646302649, 0.021048284340091459, 0.021048352457845188, 0.021048412509316716, 0.021048464064242302, 0.021048506754584192, 0.021048540276477113, 0.02104856439185478, 0.021048578929736605, 0.021048583787158619, 0.021048580548373153, 0.021048570848899696, 0.021048554739332946, 0.021048532303817542, 0.02104850365977955, 0.021048468957553156, 0.021048428379905074, 0.021048382141459741, 0.021048330488029295, 0.021048273695852392, 0.021048212070746922, 0.021048145947181497, 0.021048075687271548, 0.021048001679705462, 0.021047924338606708, 0.021047844102338033, 0.021047761432253162, 0.021047676811402159, 0.021047590743195621, 0.021047503750032913, 0.021047416371899261, 0.021047329164935822, 0.021047242699986608, 0.021047157561125154, 0.021047074344163433, 0.021046993655144765, 0.021046916108821402, 0.021046842327117187, 0.021046772937574315, 0.021046708571782886, 0.021046649863790769, 0.021046597448490644, 0.021046551959980255, 0.02104651402989122, 0.021046484285680945, 0.021046463348881467, 0.021046451833299014, 0.021046450343156567, 0.021046459471172594, 0.021046479796567829, 0.021046511882992544, 0.021046556276366538, 0.021046613502624295, 0.021046684065358503, 0.021046768443355429, 0.021046867088017007, 0.021046980420665298, 0.021047108829726997, 0.021047252667797122, 0.02104741224858353, 0.021047587843736459, 0.021047779679570392, 0.021047987933688943, 0.021048212731527724, 0.021048454142834076, 0.021048712178108248, 0.021048986785035303, 0.021049277844943381, 0.021049585169330334, 0.021049908496507133, 0.02105024748841398, 0.021050601727671991, 0.021050970714940782, 0.021051353866659281, 0.021051750513254062, 0.021052159897905244, 0.021052581175964834, 0.021053013415125967, 0.0210534555964423, 0.021053906616295692, 0.021054365289405814, 0.021054830352966503, 0.021055300471982001, 0.021055774245858219, 0.02105625021628282, 0.021056726876400825, 0.021057202681260843, 0.021057676059471748, 0.021058145425970991, 0.021058609195764723, 0.021059065798460119, 0.021059513693370141, 0.021059951384936187, 0.021060377438184372, 0.021060790493908948, 0.021061189283264833, 0.021061572641448954, 0.021061939520161502, 0.021062288998559775, 0.021062620292451616, 0.021062932761518983, 0.021063225914414972, 0.021063499411635597, 0.021063753066129738, 0.021063986841672738, 0.02106420084908894, 0.021064395340463615, 0.021064570701532486, 0.021064727442475829, 0.021064866187373122, 0.021064987662592509, 0.021065092684397033, 0.021065182146047679, 0.021065257004671767, 0.021065318268146904, 0.021065366982225931, 0.021065404218098802, 0.021065431060555917, 0.021065448596883741, 0.021065457906590788, 0.021065460052030117, 0.021065456069954931, 0.021065446964017027, 0.021065433698194809, 0.021065417191117611, 0.021065398311237278, 0.021065377872785569, 0.021065356632447057, 0.02106533528667176, 0.021065314469548933, 0.021065294751163029, 0.021065276636355584, 0.021065260563820031, 0.021065246905462357, 0.021065235965967342, 0.021065227982517701, 0.021065223124622154, 0.021065221494017898], [0.021078672457876532, 0.021078669223423212, 0.021078659536629372, 0.021078643447134972, 0.021078621037479098, 0.02107859242281199, 0.021078557750498255, 0.021078517199617428, 0.021078470980369846, 0.021078419333397311, 0.021078362529029216, 0.021078300866466268, 0.021078234672914985, 0.021078164302687066, 0.021078090136278385, 0.021078012579443282, 0.021077932062279814, 0.021077849038342308, 0.021077763983797432, 0.02107767739663995, 0.021077589795984529, 0.021077501721449055, 0.021077413732645406, 0.021077326408792278, 0.021077240348464935, 0.021077156169495698, 0.021077074509038448, 0.021076996023810027, 0.021076921390520399, 0.021076851306502845, 0.021076786490554732, 0.021076727683998438, 0.02107667565197106, 0.02107663118495056, 0.021076595100524554, 0.021076568245406421, 0.021076551497701688, 0.021076545769425047, 0.0210765520092655, 0.021076571205593506, 0.021076604389699306, 0.021076652639245637, 0.021076717081911143, 0.021076798899191205, 0.02107689933031244, 0.021077019676202693, 0.021077161303442192, 0.021077325648101056, 0.021077514219343937, 0.021077728602654059, 0.021077970462494267, 0.021078241544183633, 0.021078543674721985, 0.021078878762243288, 0.021079248793721438, 0.021079655830489364, 0.02108010200106707, 0.02108058949072791, 0.021081120527170101, 0.021081697361607511, 0.021082322244559141, 0.021082997395610342, 0.02108372496645548, 0.021084506996627297, 0.021085345361492373, 0.021086241712365495, 0.021087197408989188, 0.021088213445154519, 0.021089290368916713, 0.021090428199678407, 0.021091626345352887, 0.021092883523827519, 0.021094197693942083, 0.021095566002059293, 0.021096984750888059, 0.021098449397352809, 0.021099954585821173, 0.021101494221770146, 0.021103061588927427, 0.021104649510111061, 0.021106250548584029, 0.021107857243053557, 0.021109462365901138, 0.021111059191306736, 0.021112641758078504, 0.021114205111548778, 0.021115745509985476, 0.021117260583497048, 0.02111874943705357, 0.021120212693509732, 0.021121652476820418, 0.021123072339430213, 0.0211244771406509, 0.021125872884438228, 0.021127266525247101, 0.021128665749650433, 0.021130078739331148, 0.021131513918134608, 0.021132979682335389, 0.02113448410932392, 0.021136034635692358, 0.021137637691275357, 0.021139298271129342, 0.021141019422778937, 0.021142801621480162, 0.021144642002114925, 0.021146533413389616, 0.021148463259639653, 0.021150412100111135, 0.021152351988942733, 0.02115424456713124, 0.021156038969178628, 0.021157669693647969, 0.021159054722909527, 0.021160094377441593, 0.021160671662034454, 0.021160655192498094, 0.021159906124805575, 0.0211582907080138, 0.02115569989817058, 0.021152076534449726, 0.021147448488719328, 0.021141962771617204, 0.021135911293571185, 0.02112973546435639, 0.02112399686407385, 0.021119307690307884, 0.021116228112527564, 0.021115153887716002, 0.021115283563596338, 0.021115664652040067, 0.021116274156039713, 0.021117076348493788, 0.021118026236695876, 0.021119073641965164, 0.0211201673334864, 0.021121258722974032, 0.021122304769950671, 0.021123269922471023, 0.021124127083444993, 0.021124857719362129, 0.021125451303690354, 0.021125904313443227, 0.021126218985500465, 0.021126402003784489, 0.021126463242938411, 0.02112641464894776, 0.021126269298411545, 0.021126040648613672, 0.021125741970388304, 0.021125385943781015, 0.021124984390839863, 0.021124548118631823, 0.021124086847126761, 0.021123609199650117, 0.021123122737276186, 0.02112263402223569, 0.021122148698809632, 0.021121671583114232, 0.021121206755601227, 0.02112075765202262, 0.021120327150093508, 0.021119917650198609, 0.021119531149298487, 0.021119169307763093, 0.021118833509249649, 0.02111852491399506, 0.021118244506046366, 0.021117993135035554, 0.021117771553139535, 0.021117580447868017, 0.021117420471304611, 0.021117292266397754, 0.021117196490865135, 0.021117133839241319, 0.021117105063568731, 0.021117110993206126, 0.021117152554211083, 0.021117230788742572, 0.021117346874928798, 0.021117502147655093, 0.021117698120747902, 0.021117936511065121, 0.021118219265052928, 0.021118548588396506, 0.021118926979481048, 0.021119357267492811, 0.021119842656135996, 0.021120386774124367, 0.021120993733838456, 0.021121668199831509, 0.021122415469236652, 0.021123241566595737, 0.021124153356225722, 0.021125158675999386, 0.021126266497395171, 0.021127487117935283, 0.02112883239377638, 0.021130316022372683, 0.021131953887977603, 0.021133764486536866, 0.021135769451608846, 0.021137994209831094, 0.021140468803864148, 0.021143228933746372, 0.021146317285756198, 0.021149785243547079, 0.021153695113060988, 0.021158123046033355, 0.021163162925388616, 0.021168931593236448, 0.021175575980873777, 0.021183282977329285, 0.021192293311717497, 0.021202921435120956, 0.021215584567287633, 0.021230846086987235, 0.021249481990301015, 0.021272585605415999, 0.021301738014024536, 0.02133929596315573, 0.02138889993391254, 0.021456418138053355, 0.021551812543554053, 0.021693118294588264, 0.021915777833095611, 0.022297403857783223, 0.02303529490220424, 0.024752685420820809, 0.030187738662179112, 0.054601774903057093, 0.047271217376402386, 0.028197688044497911, 0.024002590118923514, 0.022622817364625351, 0.022020817311777865, 0.021708931762181579, 0.02152802545304126, 0.021414424747998834, 0.021338787786698295, 0.021286123131668944, 0.021248144586790987, 0.021219979860146922, 0.021198617583348612, 0.021182118802340149, 0.0211691918583784, 0.021158951437051186, 0.021150776110241028, 0.02114422102314167, 0.021138962706635695, 0.021134763270326703, 0.021131446661096211, 0.021128882655946014, 0.021126975956675651, 0.021125658753506322, 0.021124885732543335, 0.021124630885347762, 0.021124885732543328, 0.021125658753506305, 0.021126975956675658, 0.021128882655946014, 0.021131446661096211, 0.021134763270326692, 0.021138962706635706, 0.021144221023141681, 0.021150776110241038, 0.02115895143705121, 0.021169191858378376, 0.021182118802340145, 0.021198617583348591, 0.021219979860146905, 0.02124814458679097, 0.021286123131668954, 0.021338787786698267, 0.021414424747998779, 0.021528025453041329, 0.021708931762181645, 0.022020817311778011, 0.022622817364625729, 0.02400259011892409, 0.028197688044495375, 0.047271217376424132, 0.054601774903035319, 0.030187738662172524, 0.024752685420820621, 0.023035294902204177, 0.022297403857783154, 0.02191577783309559, 0.021693118294588327, 0.021551812543554025, 0.021456418138053372, 0.02138889993391254, 0.021339295963155772, 0.021301738014024539, 0.021272585605415995, 0.021249481990301022, 0.021230846086987245, 0.021215584567287643, 0.02120292143512096, 0.021192293311717486, 0.021183282977329274, 0.021175575980873787, 0.021168931593236451, 0.021163162925388616, 0.021158123046033352, 0.021153695113060991, 0.021149785243547083, 0.021146317285756198, 0.021143228933746372, 0.021140468803864151, 0.021137994209831097, 0.021135769451608846, 0.021133764486536873, 0.021131953887977607, 0.021130316022372683, 0.021128832393776383, 0.021127487117935287, 0.021126266497395168, 0.021125158675999386, 0.021124153356225722, 0.021123241566595733, 0.021122415469236652, 0.021121668199831516, 0.021120993733838467, 0.02112038677412436, 0.021119842656135993, 0.021119357267492804, 0.021118926979481048, 0.021118548588396503, 0.021118219265052914, 0.021117936511065128, 0.021117698120747905, 0.021117502147655093, 0.021117346874928798, 0.021117230788742572, 0.021117152554211076, 0.021117110993206119, 0.021117105063568738, 0.021117133839241319, 0.021117196490865128, 0.02111729226639775, 0.021117420471304604, 0.021117580447868021, 0.021117771553139531, 0.021117993135035554, 0.021118244506046362, 0.021118524913995067, 0.021118833509249643, 0.021119169307763089, 0.021119531149298484, 0.021119917650198605, 0.021120327150093512, 0.02112075765202262, 0.021121206755601224, 0.021121671583114246, 0.021122148698809629, 0.021122634022235683, 0.021123122737276179, 0.021123609199650117, 0.021124086847126761, 0.021124548118631816, 0.021124984390839863, 0.021125385943781008, 0.021125741970388308, 0.021126040648613672, 0.021126269298411549, 0.02112641464894777, 0.021126463242938411, 0.021126402003784489, 0.021126218985500475, 0.021125904313443224, 0.021125451303690358, 0.021124857719362129, 0.02112412708344499, 0.021123269922471023, 0.02112230476995066, 0.021121258722974042, 0.021120167333486393, 0.02111907364196516, 0.021118026236695869, 0.021117076348493781, 0.02111627415603971, 0.021115664652040071, 0.021115283563596338, 0.021115153887716006, 0.021115218888889113, 0.021115411840008768, 0.021115726691966007, 0.021116153714181282, 0.021116679991000427, 0.021117290059421392, 0.021117966639122628, 0.021118691401969467, 0.021119445729763209, 0.021120211415222089, 0.021120971270782746, 0.02112170962126669, 0.021122412668261425, 0.021123068724939437, 0.021123668329056738, 0.021124204248526939, 0.021124671398125617, 0.021125066687722228, 0.021125388822344514, 0.021125638072838394, 0.021125816033396048, 0.021125925379241402, 0.021125969634655791, 0.021125952958573592, 0.021125879952353196, 0.021125755492130704, 0.021125584586421341, 0.021125372258329184, 0.021125123450817806, 0.021124842952917323, 0.021124535344435903, 0.021124204956640545, 0.021123855846416951, 0.021123491781564363, 0.021123116235088592, 0.021122732386597107, 0.021122343129149942, 0.021121951080166367, 0.021121558595217638, 0.021121167783746401, 0.021120780525939221, 0.02112039849014068, 0.021120023150335541, 0.021119655803340794, 0.021119297585445763, 0.021118949488315823, 0.021118612374038354, 0.021118286989238923, 0.021117973978234283, 0.021117673895218202, 0.021117387215498273, 0.021117114345817766, 0.021116855633807795, 0.021116611376622407, 0.021116381828813851, 0.021116167209507229, 0.021115967708934535, 0.021115783494387093, 0.021115614715644139, 0.021115461509932758, 0.021115324006472511, 0.021115202330654548, 0.021115096607903162, 0.021115006967264441, 0.021114933544764507, 0.021114876486577325, 0.021114835952040126, 0.021114812116552535, 0.021114805174394027, 0.021114815341493284, 0.021114842858181705, 0.021114887991963448, 0.021114951040333563, 0.021115032333676509, 0.021115132238277511, 0.021115251159480791, 0.021115389545029496, 0.02111554788862495, 0.021115726733744775, 0.021115926677762815, 0.021116148376417714, 0.021116392548681421, 0.021116659982084333, 0.02111695153856042, 0.021117268160882986, 0.021117610879770682, 0.021117980821753906, 0.021118379217903618, 0.021118807413538967, 0.021119266879046965, 0.021119759221966659, 0.021120286200513452, 0.02112084973874637, 0.021121451943612653, 0.021122095124142138, 0.021122781813108237, 0.021123514791525785, 0.021124297116419055, 0.021125132152368924, 0.021126023607439096, 0.021126975574190143, 0.021127992576621832, 0.021129079624044134, 0.021130242273070754, 0.021131486699166344, 0.021132819779468678, 0.021134249188964196, 0.021135783512537729, 0.021137432375965295, 0.021139206599604464, 0.021141118379395966, 0.021143181500873996, 0.021145411593257415, 0.021147826432447579, 0.021150446304009175, 0.021153294440117879, 0.02115639754824011, 0.021159786454263783, 0.021163496889336914, 0.021167570458369964, 0.021172055839829871, 0.021177010282257085, 0.021182501484538596, 0.021188609976799951, 0.021195432160422089, 0.021203084224501154, 0.02121170724017445, 0.021221473856130907, 0.021260045135280424, 0.021320809857413744, 0.021425031344234395, 0.021627453995091184, 0.022107304098065515, 0.023759836717954012, 0.038444397163668056, 0.03960166348844351, 0.023687683237682163, 0.022023800567088015, 0.021559173560866018, 0.021368927867557931, 0.021273490415422407, 0.02121915724028221, 0.021185425508250089, 0.021163117756956406, 0.02114763640248259, 0.021136476254364572, 0.021128180507272703, 0.021121857284318812, 0.02111693779210275, 0.021113047660982962, 0.021109935110344896, 0.021107429451149063, 0.021105416826765339, 0.021103826567685065, 0.02110262499768337, 0.02110181576969317, 0.021101447895794379, 0.021101635667200257, 0.021102600673452213, 0.021104760262247422, 0.021108924171422495, 0.021116772616448221, 0.02113217479671502, 0.021165532011850206, 0.021252470736663663, 0.02158157112270509, 0.025144674638792983, 0.026207435477470831, 0.021801093223287792, 0.021372825928486182, 0.021247458538730037, 0.021193047220432016, 0.021164003333031749, 0.0211463610497186, 0.02113464419136675, 0.021126333428027201, 0.021120131543632018, 0.02111531213489351, 0.021111441141547359, 0.021108245425975516, 0.021105545729749202, 0.021103220244387492, 0.021101183755035821, 0.021099375162167894, 0.021097749729176673, 0.021096274106268048, 0.02109492304386433, 0.02109367716643443, 0.021092521430365611, 0.021091444033989337, 0.02109043563311544, 0.021089488767132677, 0.021088597432890255, 0.021087756764031004, 0.021086962786730064, 0.021086212231582076, 0.021085502387295053, 0.021084830985895055, 0.021084196111952221, 0.021083596130313676, 0.021083029628234939, 0.021082495368815488, 0.021081992253383211, 0.021081519291017297, 0.021081075573804193, 0.02108066025672662, 0.021080272541316586, 0.021079911662380952, 0.02107957687724521, 0.021079267457068295, 0.021078982679865289, 0.021078721824942491, 0.021078484168502495, 0.021078268980220673, 0.02107807552062993, 0.021077903039179318, 0.021077750772856757, 0.021077617945285201, 0.021077503766219256, 0.021077407431382367, 0.021077328122596967, 0.021077265008169539, 0.021077217243500892, 0.021077183971898592, 0.02107716432557433, 0.021077157426813341, 0.02107716238930674, 0.021077178319640111, 0.021077204318934145, 0.021077239484633657, 0.021077282912442628, 0.021077333698402693, 0.021077390941111773, 0.02107745374407902, 0.021077521218210899, 0.021077592484421044, 0.021077666676355251, 0.021077742943220311, 0.021077820452703174, 0.021077898393964616, 0.021077975980689105, 0.021078052454170066, 0.021078127086407824, 0.02107819918319518, 0.021078268087164169, 0.021078333180766084, 0.021078393889155646, 0.021078449682950424, 0.021078500080835786, 0.021078544651986861, 0.021078583018280046, 0.021078614856267764, 0.021078639898893102, 0.02107865793692313, 0.021078668820082986, 0.021078672457876532, 0.021078670032235292, 0.021078662770120687, 0.021078650715912341, 0.021078633943417475, 0.02107861255563374, 0.021078586684419521, 0.021078556490073685, 0.021078522160827787, 0.02107848391225374, 0.021078441986590823, 0.021078396651996165, 0.021078348201722993, 0.021078296953231698, 0.021078243247238101, 0.02107818744670447, 0.021078129935777897, 0.021078071118681079, 0.021078011418560437, 0.021077951276295952, 0.021077891149277026, 0.021077831510148332, 0.021077772845528909, 0.021077715654707677, 0.021077660448317423, 0.021077607746989229, 0.021077558079988394, 0.021077511983832176, 0.021077470000889192, 0.021077432677959286, 0.021077400564832427, 0.021077374212823925, 0.021077354173282995, 0.021077340996070906, 0.021077335228004302, 0.02107733741125872, 0.021077348081726857, 0.021077367767325998, 0.021077396986247984, 0.021077436245145829, 0.021077486037250324, 0.021077546840410376, 0.021077619115050884, 0.021077703302042606, 0.021077799820478822, 0.021077909065354568, 0.021078031405145376, 0.021078167179283552, 0.021078316695531851, 0.021078480227256256, 0.021078658010601676, 0.021078850241577185, 0.02107905707305999, 0.021079278611731037, 0.02107951491495838, 0.021079765987648696, 0.021080031779091714, 0.021080312179827056, 0.021080607018568075, 0.021080916059222795, 0.021081238998057653, 0.021081575461055671, 0.021081925001526652, 0.021082287098032951, 0.021082661152700008, 0.021083046489986233, 0.021083442355991223, 0.021083847918385194, 0.021084262267044108, 0.021084684415476104, 0.021085113303122023, 0.021085547798608769, 0.021085986704025898, 0.021086428760284288, 0.021086872653599924, 0.021087317023125968, 0.021087760469731927, 0.021088201565900373, 0.021088638866679835, 0.021089070921597911, 0.021089496287402105, 0.021089913541460073, 0.021090321295615451, 0.021090718210264627, 0.021091103008393505, 0.021091474489294246, 0.021091831541672199, 0.021092173155852895, 0.021092498434809696, 0.021092806603754208, 0.021093097018063538, 0.021093369169359659, 0.021093622689604963, 0.021093857353131993, 0.021094073076582932, 0.021094269916790927, 0.021094448066690991, 0.021094607849397824, 0.021094749710631643, 0.021094874209707855, 0.021094982009332065, 0.021095073864457879, 0.021095150610470625, 0.021095213150957318, 0.021095262445311545, 0.021095299496403704, 0.021095325338523437, 0.021095341025772766, 0.0210953476210591, 0.021095346185805018, 0.021095337770461783, 0.021095323405883177, 0.021095304095588876, 0.021095280808922312, 0.02109525447508585, 0.021095225978018443, 0.021095196152066512, 0.021095165778387152, 0.021095135582015333, 0.02109510622952188, 0.02109507832718651, 0.021095052419610613, 0.021095028988696803, 0.021095008452925876, 0.021094991166867656, 0.02109497742086831, 0.021094967440864507, 0.021094961388282891, 0.021094959359991981], [0.021189157017842318, 0.021189154820902546, 0.021189148244684024, 0.021189137332939072, 0.021189122158421839, 0.021189102822641734, 0.021189079455524076, 0.021189052214983829, 0.021189021286419491, 0.021188986882136114, 0.021188949240707113, 0.021188908626286248, 0.021188865327881674, 0.021188819658605168, 0.021188771954910035, 0.021188722575832059, 0.021188671902247908, 0.021188620336165788, 0.021188568300063323, 0.021188516236287348, 0.021188464606530347, 0.021188413891397886, 0.021188364590081072, 0.021188317220147641, 0.021188272317464705, 0.02118823043626572, 0.021188192149373598, 0.021188158048591251, 0.021188128745270061, 0.021188104871066409, 0.021188087078895027, 0.021188076044087699, 0.021188072465764388, 0.021188077068423055, 0.021188090603753002, 0.021188113852674936, 0.021188147627609205, 0.021188192774971006, 0.021188250177888678, 0.021188320759137048, 0.021188405484273649, 0.02118850536495925, 0.021188621462437399, 0.021188754891138275, 0.021188906822361464, 0.021189078487978668, 0.021189271184080892, 0.021189486274475235, 0.021189725193912552, 0.021189989450899734, 0.021190280629917277, 0.021190600392825335, 0.021190950479198025, 0.021191332705277087, 0.021191748961182352, 0.021192201205959035, 0.021192691459981591, 0.02119322179417487, 0.0211937943154583, 0.02119441114777532, 0.021195074408044301, 0.021195786176372029, 0.021196548459916028, 0.021197363149887172, 0.02119823197136356, 0.021199156425862564, 0.02120013772700665, 0.021201176730135829, 0.021202273857372882, 0.021203429020429414, 0.02120464154432811, 0.021205910096157219, 0.021207232623887455, 0.02120860631105561, 0.021210027553613193, 0.021211491965294236, 0.021212994417322214, 0.021214529117032352, 0.021216089727984215, 0.021217669531431137, 0.021219261625776909, 0.021220859157188465, 0.021222455571250999, 0.021224044872896655, 0.021225621880225632, 0.021227182457566055, 0.021228723714299371, 0.021230244158500063, 0.021231743797980748, 0.021233224185418811, 0.021234688408319768, 0.02123614102812401, 0.021237587975373336, 0.021239036409264403, 0.021240494550041858, 0.021241971491583612, 0.02124347699935885, 0.021245021295892841, 0.021246614832129408, 0.021248268038763167, 0.021249991046756629, 0.021251793360809981, 0.021253683463382012, 0.02125566831979419, 0.021257752746823878, 0.021259938597964885, 0.021262223708453067, 0.021264600533062041, 0.021267054401483802, 0.021269561313593206, 0.021272085206882559, 0.021274574662445329, 0.021276959092711299, 0.021279144601679116, 0.021281009965205253, 0.02128240359092673, 0.021283142924109412, 0.021283018564849304, 0.021281806239022521, 0.021279290379898501, 0.021275302732661063, 0.021269776997001794, 0.021262814874474328, 0.021254749623317071, 0.021246182460084417, 0.02123796092219718, 0.021231075507105894, 0.021226477401341093, 0.021224859853551162, 0.021225060606639444, 0.021225648529890388, 0.021226582365087725, 0.02122779884446812, 0.021229219849168278, 0.021230760561613129, 0.021232337334593395, 0.021233874246874777, 0.021235307725209453, 0.021236589053732744, 0.021237684956525917, 0.021238576670132132, 0.021239258013405884, 0.021239732940861806, 0.021240012975973992, 0.021240114804033202, 0.021240058190551785, 0.02123986429796965, 0.021239554406653999, 0.021239149004709426, 0.021238667190058246, 0.021238126321714925, 0.021237541859762458, 0.021236927341011336, 0.0212362944467278, 0.021235653128313201, 0.02123501176538822, 0.021234377337946489, 0.021233755600002256, 0.021233151246573372, 0.021232568069105558, 0.021232009096776791, 0.021231476722727242, 0.021230972815320215, 0.021230498815201733, 0.021230055819304827, 0.02122964465312829, 0.021229265932674865, 0.02122892011740591, 0.021228607555493797, 0.021228328522551927, 0.021228083254910254, 0.021227871978393261, 0.021227694933451724, 0.021227552397404606, 0.02122744470446437, 0.021227372264148611, 0.021227335578623961, 0.021227335259484316, 0.021227372044434069, 0.02122744681432932, 0.021227560611024255, 0.021227714656478089, 0.021227910373599758, 0.021228149409344827, 0.021228433660633192, 0.021228765303729764, 0.021229146827827276, 0.021229581073694676, 0.021230071278412192, 0.021230621127414633, 0.021231234815315334, 0.021231917117301546, 0.021232673473293013, 0.021233510087565018, 0.021234434047185641, 0.021235453463447209, 0.02123657764154151, 0.02123781728511278, 0.021239184744129148, 0.021240694316885862, 0.02124236262009414, 0.021244209045200666, 0.02124625632472418, 0.021248531240059876, 0.021251065512717441, 0.021253896935537354, 0.02125707082087042, 0.021260641871711349, 0.02126467662347286, 0.021269256664861635, 0.021274482936245169, 0.02128048153914238, 0.021287411697499186, 0.021295476834498346, 0.021304940243642299, 0.021316147673047042, 0.021329560548416504, 0.021345805983167293, 0.021365754034202693, 0.02139064061061317, 0.021422269716642753, 0.021463359475661657, 0.021518161827876702, 0.021593634232092016, 0.021701805105462196, 0.021864950896936464, 0.022128144962168698, 0.022594012457649713, 0.023538100114584813, 0.02590410095776368, 0.034317716604006496, 0.064745321631324584, 0.038703670409147496, 0.026662095656860726, 0.02366865536912114, 0.022575117427932393, 0.022067125415486853, 0.021792975653353232, 0.021629322648500898, 0.021524333833650641, 0.021453262030175634, 0.021403118696369513, 0.021366571235560027, 0.021339233766382023, 0.021318357149297154, 0.021302150439546485, 0.021289408915938186, 0.021279300271657395, 0.021271236686826483, 0.021264795628255423, 0.021259669375576128, 0.021255632070687865, 0.021252517797236983, 0.021250205816544715, 0.021248610595859693, 0.021247675165202679, 0.021247366896946757, 0.021247675165202675, 0.021248610595859682, 0.021250205816544718, 0.021252517797236983, 0.021255632070687872, 0.021259669375576117, 0.021264795628255423, 0.02127123668682649, 0.021279300271657416, 0.021289408915938206, 0.02130215043954645, 0.021318357149297154, 0.021339233766381995, 0.021366571235560013, 0.021403118696369478, 0.021453262030175647, 0.021524333833650593, 0.021629322648500836, 0.021792975653353329, 0.02206712541548695, 0.022575117427932619, 0.023668655369121803, 0.026662095656862183, 0.038703670409138753, 0.064745321631313024, 0.034317716603998384, 0.025904100957761276, 0.023538100114584761, 0.022594012457649668, 0.022128144962168649, 0.021864950896936436, 0.021701805105462237, 0.021593634232091999, 0.021518161827876723, 0.021463359475661654, 0.021422269716642784, 0.021390640610613167, 0.021365754034202693, 0.02134580598316729, 0.021329560548416514, 0.021316147673047056, 0.021304940243642299, 0.021295476834498339, 0.021287411697499183, 0.021280481539142387, 0.021274482936245166, 0.021269256664861631, 0.02126467662347286, 0.021260641871711356, 0.021257070820870416, 0.02125389693553735, 0.021251065512717441, 0.021248531240059876, 0.021246256324724187, 0.021244209045200666, 0.02124236262009414, 0.021240694316885866, 0.021239184744129148, 0.02123781728511278, 0.02123657764154151, 0.021235453463447209, 0.021234434047185644, 0.021233510087565018, 0.021232673473293013, 0.021231917117301546, 0.021231234815315338, 0.021230621127414643, 0.021230071278412192, 0.02122958107369468, 0.021229146827827287, 0.021228765303729757, 0.021228433660633192, 0.021228149409344824, 0.021227910373599758, 0.021227714656478096, 0.021227560611024265, 0.021227446814329327, 0.021227372044434072, 0.021227335259484309, 0.021227335578623965, 0.021227372264148607, 0.021227444704464367, 0.021227552397404609, 0.021227694933451717, 0.021227871978393265, 0.021228083254910251, 0.02122832852255193, 0.021228607555493807, 0.021228920117405913, 0.021229265932674869, 0.021229644653128293, 0.021230055819304827, 0.021230498815201733, 0.021230972815320211, 0.021231476722727245, 0.021232009096776788, 0.021232568069105548, 0.021233151246573382, 0.021233755600002249, 0.021234377337946492, 0.021235011765388227, 0.021235653128313194, 0.021236294446727786, 0.021236927341011326, 0.021237541859762458, 0.021238126321714922, 0.021238667190058253, 0.021239149004709426, 0.021239554406653999, 0.021239864297969657, 0.021240058190551799, 0.021240114804033209, 0.021240012975973995, 0.021239732940861809, 0.021239258013405884, 0.021238576670132132, 0.021237684956525917, 0.021236589053732751, 0.02123530772520944, 0.021233874246874784, 0.021232337334593395, 0.021230760561613139, 0.021229219849168281, 0.02122779884446812, 0.021226582365087725, 0.021225648529890395, 0.021225060606639444, 0.021224859853551159, 0.021224960526849943, 0.021225258850530462, 0.021225743966126403, 0.021226398520726546, 0.021227199707456613, 0.02122812058064422, 0.02122913152793153, 0.021230201776866374, 0.021231300822932661, 0.021232399686624093, 0.021233471934772534, 0.021234494431318744, 0.021235447810957955, 0.02123631669257995, 0.02123708966644812, 0.021237759099188461, 0.021238320804457419, 0.021238773625841794, 0.021239118973614822, 0.021239360349919675, 0.021239502889059642, 0.021239552931821386, 0.021239517645794417, 0.021239404697836629, 0.021239221980294806, 0.021238977389283518, 0.021238678651114506, 0.021238333191662032, 0.021237948042847957, 0.021237529780342386, 0.021237084486839808, 0.02123661773575224, 0.02123613459075973, 0.021235639617298123, 0.021235136902695764, 0.021234630082260973, 0.021234122369152935, 0.021233616586332032, 0.021233115199280488, 0.02123262034851317, 0.021232133881167826, 0.021231657381180543, 0.021231192197723462, 0.021230739471714302, 0.021230300160308614, 0.021229875059360845, 0.021229464823894723, 0.021229069986661846, 0.021228690974892519, 0.021228328125358509, 0.021227981697875719, 0.021227651887377023, 0.021227338834684951, 0.021227042636109049, 0.021226763351987681, 0.021226501014286438, 0.021226255633358247, 0.021226027203961984, 0.021225815710629016, 0.021225621132459464, 0.021225443447423012, 0.021225282636232183, 0.021225138685850499, 0.021225011592691821, 0.021224901365562869, 0.021224808028395919, 0.021224731622815466, 0.021224672210578954, 0.021224629875929196, 0.021224604727893569, 0.021224596902563585, 0.021224606565386953, 0.021224633913503411, 0.021224679178155272, 0.021224742627203592, 0.021224824567781561, 0.021224925349117289, 0.021225045365560323, 0.02122518505984753, 0.021225344926646964, 0.021225525516421713, 0.021225727439658976, 0.021225951371514999, 0.02122619805693178, 0.021226468316287765, 0.021226763051652924, 0.021227083253727182, 0.021227430009552253, 0.021227804511098538, 0.021228208064844167, 0.021228642102479458, 0.021229108192890152, 0.021229608055596663, 0.021230143575853164, 0.021230716821643781, 0.021231330062850818, 0.021231985792915898, 0.021232686753368903, 0.021233435961664139, 0.021234236742840317, 0.021235092765613708, 0.021236008083625184, 0.021236987182696763, 0.02123803503511627, 0.021239157162167868, 0.021240359706368957, 0.021241649515171507, 0.02124303423825373, 0.021244522440981656, 0.021246123737185336, 0.021247848945100577, 0.021249710271213071, 0.021251721527861676, 0.021253898391878561, 0.021256258713359507, 0.02125882288599026, 0.021261614293373001, 0.021264659849726805, 0.021267990658492237, 0.021271642819185775, 0.021275658421931746, 0.021280086781307269, 0.021284985977691278, 0.021290424796982274, 0.021296485190919919, 0.021303265424128508, 0.021310884136114892, 0.021319485635484962, 0.021353178551053661, 0.021405425280490272, 0.021492961397587433, 0.021656839635279083, 0.022021424536151551, 0.023123237934977284, 0.029830497853172232, 0.066503156797954863, 0.02515437549967826, 0.022419985485846908, 0.021777810356888798, 0.021534367368332839, 0.021417329705201129, 0.021352426785108597, 0.021312825157690393, 0.021286946263445246, 0.021269138747310495, 0.021256382117539281, 0.02124694567415716, 0.021239782059526913, 0.021234229487763708, 0.021229855678150746, 0.02122637176382676, 0.02122358304230694, 0.021221360408347881, 0.02121962438297988, 0.021218337901933029, 0.021217506735251867, 0.021217188907426864, 0.021217518126616194, 0.021218753532765259, 0.021221385497729613, 0.021226374189682765, 0.021235741216947525, 0.021254247586242593, 0.0212951552787639, 0.021406767883846312, 0.021880059868117519, 0.02994208774872277, 0.024072918973206271, 0.021764799906077281, 0.021446367482761578, 0.021343289594394146, 0.021296402015648926, 0.021270688067032782, 0.021254791238415966, 0.021244101296973586, 0.021236447304566544, 0.021230692677506661, 0.021226193016038383, 0.021222559565112702, 0.021219545844094988, 0.021216989102962124, 0.021214778197831345, 0.021212835050527068, 0.021211103481263274, 0.021209542231384444, 0.02120812046318752, 0.021206814775324108, 0.021205607173911411, 0.021204483662646888, 0.021203433243548789, 0.021202447196021115, 0.021201518548286415, 0.021200641684165265, 0.021199812046651178, 0.021199025911761489, 0.021198280214126244, 0.021197572411164198, 0.021196900376386493, 0.021196262314935876, 0.021195656696278292, 0.021195082200254484, 0.021194537673631629, 0.021194022094975219, 0.021193534546163677, 0.021193074189242406, 0.021192640247595648, 0.021192231990628654, 0.021191848721316863, 0.021191489766105805, 0.021191154466744945, 0.021190842173716723, 0.021190552240984636, 0.021190284021833691, 0.021190036865617462, 0.021189810115258573, 0.021189603105376601, 0.02118941516093989, 0.021189245596356272, 0.021189093714933268, 0.021188958808651445, 0.021188840158205657, 0.021188737033277835, 0.021188648693013186, 0.021188574386677553, 0.021188513354479372, 0.021188464828543994, 0.021188428034031287, 0.021188402190390386, 0.021188386512747279, 0.021188380213422165, 0.021188382503574368, 0.021188392594972578, 0.021188409701888088, 0.021188433043107698, 0.021188461844062187, 0.02118849533906431, 0.021188532773649332, 0.021188573407008141, 0.021188616514501997, 0.02118866139024498, 0.021188707349738663, 0.021188753732540668, 0.021188799904947774, 0.021188845262671282, 0.021188889233481806, 0.02118893127979871, 0.021188970901198808, 0.02118900763681851, 0.021189041067623558, 0.02118907081852071, 0.021189096560287148, 0.021189118011294483, 0.021189134939006274, 0.021189147161230389, 0.021189154547110262, 0.021189157017842318, 0.021189155370296898, 0.02118915044052368, 0.021189142267069944, 0.021189130914042006, 0.021189116470897384, 0.021189099052155845, 0.021189078797031038, 0.021189055868985115, 0.02118903045520925, 0.02118900276603302, 0.021188973034266204, 0.021188941514476929, 0.021188908482209955, 0.021188874233149264, 0.021188839082229176, 0.021188803362698128, 0.021188767425139185, 0.021188731636451248, 0.021188696378794648, 0.021188662048504524, 0.021188629054975081, 0.021188597819517312, 0.021188568774192434, 0.021188542360622651, 0.021188519028780339, 0.021188499235756327, 0.021188483444506963, 0.021188472122579603, 0.021188465740814871, 0.021188464772024122, 0.021188469689639271, 0.021188480966332256, 0.021188499072600182, 0.021188524475312335, 0.021188557636214418, 0.02118859901038515, 0.021188649044640295, 0.021188708175878621, 0.021188776829364663, 0.021188855416943087, 0.021188944335179649, 0.021189043963424151, 0.021189154661791585, 0.021189276769058001, 0.021189410600469149, 0.021189556445460559, 0.021189714565289775, 0.021189885190582562, 0.02119006851879722, 0.021190264711613314, 0.02119047389225345, 0.021190696142749602, 0.021190931501168714, 0.021191179958815334, 0.021191441457432798, 0.021191715886428576, 0.021192003080153121, 0.02119230281526616, 0.021192614808228948, 0.02119293871296541, 0.021193274118740169, 0.021193620548305873, 0.02119397745637705, 0.021194344228491927, 0.021194720180327652, 0.021195104557537429, 0.02119549653618058, 0.021195895223817464, 0.021196299661340699, 0.021196708825611688, 0.021197121632966644, 0.021197536943648142, 0.021197953567208085, 0.021198370268912862, 0.021198785777163807, 0.021199198791924105, 0.021199607994117943, 0.021200012055939139, 0.021200409651976032, 0.021200799471026561, 0.021201180228445943, 0.021201550678838155, 0.021201909628874745, 0.021202255950002396, 0.021202588590783673, 0.021202906588608177, 0.02120320908051156, 0.021203495312851511, 0.021203764649609835, 0.02120401657912058, 0.021204250719062508, 0.021204466819599622, 0.021204664764603722, 0.021204844570945555, 0.021205006385893812, 0.021205150482711554, 0.021205277254585111, 0.021205387207059938, 0.021205480949189275, 0.021205559183623796, 0.021205622695884038, 0.021205672343061758, 0.021205709042192017, 0.021205733758526541, 0.021205747493920398, 0.021205751275521423, 0.021205746144925281, 0.021205733147930204, 0.021205713324996291, 0.021205687702485113, 0.021205657284727578, 0.021205623046942623, 0.021205585929006395, 0.021205546830051537, 0.021205506603860159, 0.02120546605500033, 0.021205425935646179, 0.021205386943014663, 0.021205349717347863, 0.02120531484036791, 0.021205282834132283, 0.021205254160219358, 0.021205229219178535, 0.021205208350183753, 0.021205191830836585, 0.021205179877071281, 0.021205172643122577, 0.021205170221525189], [0.02141236844066537, 0.021412367258837779, 0.021412363726090802, 0.021412357880589639, 0.021412349785803086, 0.021412339530296455, 0.021412327227447184, 0.021412313015088266, 0.021412297055086328, 0.021412279532862524, 0.021412260656865061, 0.021412240658003911, 0.0214122197890587, 0.021412198324071704, 0.021412176557738492, 0.021412154804809201, 0.021412133399513734, 0.021412112695024438, 0.021412093062969768, 0.021412074893012403, 0.021412058592505154, 0.021412044586237581, 0.021412033316286137, 0.02141202524197984, 0.021412020839993325, 0.02141202060457844, 0.021412025047944837, 0.021412034700799686, 0.02141205011305556, 0.021412071854715338, 0.021412100516941535, 0.021412136713317258, 0.021412181081304611, 0.021412234283905287, 0.021412297011526922, 0.02141236998405693, 0.021412453953143801, 0.021412549704683145, 0.021412658061502939, 0.021412779886238558, 0.021412916084383352, 0.02141306760749484, 0.021413235456529324, 0.021413420685268546, 0.021413624403791451, 0.021413847781930624, 0.021414092052636776, 0.021414358515155836, 0.021414648537899782, 0.02141496356086587, 0.021415305097427253, 0.021415674735281803, 0.021416074136305186, 0.02141650503500802, 0.021416969235247305, 0.021417468604788867, 0.021418005067263116, 0.021418580591003756, 0.021419197174211722, 0.02141985682585151, 0.021420561541671306, 0.021421313274752111, 0.021422113900047519, 0.021422965172489022, 0.021423868678418924, 0.02142482578039161, 0.021425837555770409, 0.02142690473005366, 0.021428027606496206, 0.021429205994340395, 0.021430439138810535, 0.021431725656902788, 0.021433063483841736, 0.02143444983576559, 0.021435881194611699, 0.021437353321155646, 0.021438861301571716, 0.02144039963162598, 0.021441962340648674, 0.021443543154822386, 0.021445135696244778, 0.021446733710976152, 0.021448331316248275, 0.02144992325461335, 0.021451505141435148, 0.021453073692034676, 0.021454626916090017, 0.021456164269432233, 0.021457686756858951, 0.021459196983544863, 0.021460699156543389, 0.021462199041256954, 0.02146370388022005, 0.021465222282854968, 0.021466764094947504, 0.021468340255504922, 0.0214699626465354, 0.021471643938290527, 0.021473397428764213, 0.021475236871788816, 0.021477176282840033, 0.021479229705443411, 0.021481410913499928, 0.021483733015386676, 0.021486207913660627, 0.021488845558794687, 0.021491652915774696, 0.021494632537929242, 0.021497780613015476, 0.021501084313789845, 0.021504518253595169, 0.021508039827399031, 0.021511583231525407, 0.021515052040695246, 0.021518310447626358, 0.021521173748105592, 0.02152339954021739, 0.021524682585168466, 0.021524658473620277, 0.021522923991691305, 0.021519084486712664, 0.021512838338453362, 0.021504101874235376, 0.021493160157861228, 0.021480799221752344, 0.021468344053270739, 0.02145752054368474, 0.0214501096023633, 0.021447469352728173, 0.02144780598574398, 0.021448786679892719, 0.021450328169741035, 0.021452305164720503, 0.021454567368633586, 0.021456957950010454, 0.021459330120529474, 0.021461559470318799, 0.021463551051259144, 0.021465241434913872, 0.021466596804683682, 0.021467608490926975, 0.021468287308225854, 0.021468657766358545, 0.021468752857384966, 0.02146860977992229, 0.021468266702320587, 0.021467760500328188, 0.021467125318642116, 0.02146639177695208, 0.021465586647572286, 0.021464732856125802, 0.021463849687275386, 0.021462953107320111, 0.021462056141248263, 0.021461169262432512, 0.021460300768691515, 0.021459457129618217, 0.021458643297766464, 0.021457862981342488, 0.021457118879190065, 0.021456412880667439, 0.021455746233924392, 0.021455119686417903, 0.021454533601478112, 0.021453988054503662, 0.02145348291203026, 0.021453017896540156, 0.021452592639504848, 0.021452206724799871, 0.02145185972431099, 0.021451551227270323, 0.021451280864619181, 0.021451048329489769, 0.021450853394727531, 0.021450695928236084, 0.021450575906814113, 0.02145049342906457, 0.02145044872788917, 0.021450442183031847, 0.021450474334103055, 0.021450545894500354, 0.021450657766639215, 0.021450811058921403, 0.021451007104896856, 0.021451247485119614, 0.021451534052261408, 0.021451868960129988, 0.021452254697347357, 0.021452694126580726, 0.021453190530392456, 0.021453747664993802, 0.021454369823462015, 0.02145506191032668, 0.021455829529868287, 0.021456679091027685, 0.021457617932532223, 0.02145865447275223, 0.02145979838997138, 0.021461060840273539, 0.021462454722233897, 0.02146399500021642, 0.021465699101548271, 0.021467587407483897, 0.021469683864137851, 0.021472016748104974, 0.021474619633241262, 0.021477532621432503, 0.021480803923192359, 0.021484491906719413, 0.021488667781373264, 0.021493419150831989, 0.021498854774235309, 0.021505111029399428, 0.021512360812008954, 0.021520825981263206, 0.021530795066735855, 0.021542648944373188, 0.021556898865712607, 0.021574244138014405, 0.021595661988149752, 0.02162255190805077, 0.021656975786552939, 0.021702073986416801, 0.021762821606957958, 0.0218474837655354, 0.021970616779591771, 0.022159812357122638, 0.022472604694290764, 0.023045424099965614, 0.024266335265219173, 0.027582262547642504, 0.040703056696887674, 0.063722614353148382, 0.033783861898040529, 0.025836233988367343, 0.023581565371402546, 0.022684080250892975, 0.022244672704216817, 0.021999074418966952, 0.021848740731207818, 0.021750460069725693, 0.021682946107849998, 0.021634755567866228, 0.021599304285579744, 0.021572592875252091, 0.021552082468568552, 0.021536101700713635, 0.021523516664536124, 0.021513538762200718, 0.021505608496869784, 0.021499322891087053, 0.021494388920662025, 0.021490592996659445, 0.021487780671425486, 0.021485843077466135, 0.021484707970605421, 0.021484334076779035, 0.021484707970605428, 0.021485843077466118, 0.021487780671425497, 0.021490592996659449, 0.021494388920662032, 0.021499322891087035, 0.021505608496869791, 0.021513538762200728, 0.021523516664536151, 0.021536101700713652, 0.021552082468568507, 0.021572592875252084, 0.021599304285579705, 0.021634755567866211, 0.021682946107849946, 0.021750460069725721, 0.021848740731207739, 0.021999074418966851, 0.022244672704216976, 0.022684080250893149, 0.023581565371403029, 0.025836233988369116, 0.033783861898045622, 0.063722614353140097, 0.040703056696871229, 0.027582262547639427, 0.024266335265218025, 0.023045424099965555, 0.02247260469429075, 0.0221598123571226, 0.021970616779591754, 0.021847483765535438, 0.02176282160695794, 0.021702073986416812, 0.021656975786552939, 0.021622551908050798, 0.021595661988149748, 0.021574244138014405, 0.021556898865712618, 0.021542648944373202, 0.021530795066735865, 0.02152082598126321, 0.021512360812008954, 0.021505111029399428, 0.021498854774235316, 0.021493419150831996, 0.021488667781373261, 0.021484491906719416, 0.021480803923192359, 0.021477532621432503, 0.021474619633241265, 0.02147201674810497, 0.021469683864137851, 0.021467587407483897, 0.021465699101548271, 0.02146399500021642, 0.021462454722233893, 0.021461060840273532, 0.021459798389971387, 0.02145865447275223, 0.021457617932532223, 0.021456679091027685, 0.02145582952986828, 0.021455061910326676, 0.021454369823462018, 0.021453747664993802, 0.021453190530392463, 0.021452694126580726, 0.021452254697347357, 0.021451868960129985, 0.021451534052261408, 0.021451247485119611, 0.021451007104896849, 0.02145081105892141, 0.021450657766639215, 0.021450545894500361, 0.021450474334103051, 0.021450442183031843, 0.021450448727889166, 0.02145049342906457, 0.021450575906814109, 0.021450695928236081, 0.021450853394727527, 0.021451048329489769, 0.021451280864619178, 0.02145155122727032, 0.02145185972431099, 0.021452206724799874, 0.021452592639504844, 0.021453017896540156, 0.021453482912030267, 0.021453988054503655, 0.021454533601478108, 0.02145511968641791, 0.021455746233924392, 0.021456412880667443, 0.021457118879190058, 0.021457862981342488, 0.021458643297766457, 0.02145945712961821, 0.021460300768691515, 0.021461169262432508, 0.021462056141248249, 0.021462953107320104, 0.021463849687275376, 0.021464732856125799, 0.021465586647572296, 0.021466391776952073, 0.02146712531864213, 0.021467760500328205, 0.021468266702320597, 0.021468609779922286, 0.021468752857384976, 0.021468657766358552, 0.021468287308225857, 0.021467608490926979, 0.021466596804683682, 0.021465241434913879, 0.021463551051259126, 0.021461559470318806, 0.021459330120529474, 0.021456957950010451, 0.021454567368633586, 0.021452305164720499, 0.021450328169741035, 0.021448786679892719, 0.02144780598574398, 0.021447469352728166, 0.021447638278426814, 0.021448137539691766, 0.021448945161332746, 0.021450026357049057, 0.021451336059489557, 0.021452822045299573, 0.021454428321963145, 0.021456098446781875, 0.021457778495545841, 0.021459419475882147, 0.021460979071139041, 0.021462422688926164, 0.02146372386182599, 0.021464864099361495, 0.021465832318376187, 0.021466623986025082, 0.021467240100539822, 0.021467686115632705, 0.021467970890266183, 0.021468105720831885, 0.021468103490461823, 0.02146797795181871, 0.021467743145819639, 0.021467412949152755, 0.021467000737546437, 0.021466519148772768, 0.021465979928524729, 0.021465393842902449, 0.021464770642712856, 0.021464119066697009, 0.021463446872852798, 0.021462760889016955, 0.021462067075695878, 0.0214613705957299, 0.021460675886723568, 0.021459986733280735, 0.021459306336969915, 0.02145863738263952, 0.021457982100234408, 0.021457342321663572, 0.021456719532559156, 0.021456114918973465, 0.021455529409200456, 0.021454963710998726, 0.02145441834454653, 0.021453893671484814, 0.021453389920411323, 0.021452907209181936, 0.021452445564359868, 0.021452004938132242, 0.021451585222989608, 0.021451186264438437, 0.021450807871991644, 0.021450449828657028, 0.021450111899120983, 0.021449793836802566, 0.02144949538993356, 0.021449216306802257, 0.021448956340282155, 0.021448715251752699, 0.021448492814506403, 0.021448288816725152, 0.021448103064099128, 0.021447935382152814, 0.021447785618335397, 0.021447653643926447, 0.021447539355802413, 0.021447442678104823, 0.021447363563847445, 0.02144730199649653, 0.021447257991555703, 0.021447231598185464, 0.021447222900885767, 0.021447232021269542, 0.021447259119954435, 0.021447304398600747, 0.021447368102123703, 0.021447450521109794, 0.021447551994468267, 0.021447672912351425, 0.021447813719379837, 0.021447974918212195, 0.021448157073503633, 0.021448360816301176, 0.021448586848930827, 0.021448835950437357, 0.021449108982646247, 0.021449406896925968, 0.021449730741739958, 0.02145008167109029, 0.021450460953969564, 0.021450869984955136, 0.021451310296100038, 0.021451783570298567, 0.021452291656333024, 0.02145283658584057, 0.021453420592479146, 0.021454046133617028, 0.021454715914926589, 0.021455432918328313, 0.021456200433810173, 0.021457022095742427, 0.021457901924421659, 0.02145884437371624, 0.021459854385852691, 0.021460937454586482, 0.021462099698249904, 0.021463347944476664, 0.021464689828779696, 0.021466133909627361, 0.021467689803245392, 0.021469368342100444, 0.021471181761937446, 0.021473143923400523, 0.021475270575739738, 0.021477579671987729, 0.021480091747413346, 0.02148283037619619, 0.021485822725358126, 0.021489100230363965, 0.021492699423919868, 0.021496662958997804, 0.021501040879902976, 0.02150589221257675, 0.021511286969167848, 0.021517308694952681, 0.021524057732015652, 0.021531655439817752, 0.021561198215211515, 0.021606363966800154, 0.021680475217416739, 0.021814832187817438, 0.022098095045287369, 0.022869572872877417, 0.026455848632832877, 0.083107254188436633, 0.027984043144779869, 0.023058334443452955, 0.022140796741039939, 0.021824184428086181, 0.021679354674237029, 0.021601418625028408, 0.021554789715907238, 0.021524727287744631, 0.02150423946707283, 0.021489667007754742, 0.021478946452510691, 0.021470844543205261, 0.021464589731883126, 0.021459682092642991, 0.021455789796812751, 0.021452690498037403, 0.021450237608418236, 0.021448341559391015, 0.021446961376885801, 0.021446105184308808, 0.021445841243762937, 0.021446325524998599, 0.021447860683174814, 0.021451022891398632, 0.021456952302257696, 0.021468089021043659, 0.021490324909728773, 0.021540738179048374, 0.021686065572335825, 0.022396957522980109, 0.042386759181631671, 0.023246458568065367, 0.021883382994810813, 0.021640080447099801, 0.021554337648505319, 0.021513663158108091, 0.021490792486022637, 0.021476416361357855, 0.021466632361061194, 0.021459562193777437, 0.021454206832147524, 0.021449993100767749, 0.021446572017208725, 0.021443720695720772, 0.021441291092444865, 0.021439181612041409, 0.021437320591903921, 0.02143565628910326, 0.021434150589641841, 0.021432774931865774, 0.021431507591775496, 0.021430331831078685, 0.021429234606272191, 0.021428205651201803, 0.021427236813555389, 0.02142632156735183, 0.02142545464956425, 0.02142463178571781, 0.021423849480214783, 0.021423104854399667, 0.021422395520288434, 0.021421719481259562, 0.021421075053355693, 0.021420460802504048, 0.021419875494150472, 0.021419318052659907, 0.021418787528463296, 0.021418283071394616, 0.021417803909007469, 0.021417349328921375, 0.021416918664446231, 0.021416511282885509, 0.02141612657603691, 0.021415763952501141, 0.021415422831482494, 0.021415102637822654, 0.021414802798055535, 0.021414522737308844, 0.021414261876908477, 0.021414019632567234, 0.021413795413060262, 0.021413588619306857, 0.021413398643793123, 0.021413224870281848, 0.021413066673766596, 0.021412923420635378, 0.021412794469016887, 0.021412679169287987, 0.021412576864726501, 0.021412486892297449, 0.02141240858356392, 0.021412341265716769, 0.021412284262719024, 0.021412236896562093, 0.021412198488632045, 0.021412168361184172, 0.021412145838923972, 0.02141213025069226, 0.021412120931251041, 0.021412117223165644, 0.021412118478777182, 0.021412124062257593, 0.021412133351737805, 0.021412145741497607, 0.021412160644203877, 0.021412177493182007, 0.021412195744703245, 0.02141221488026945, 0.02141223440887494, 0.021412253869224306, 0.021412272831883794, 0.021412290901343774, 0.021412307717969713, 0.021412322959819027, 0.021412336344302611, 0.021412347629670543, 0.021412356616303516, 0.021412363147793427, 0.021412367111799006, 0.02141236844066537, 0.021412367554415886, 0.021412364906673302, 0.021412360530418884, 0.021412354480500925, 0.021412346833454683, 0.021412337687252026, 0.021412327160982195, 0.021412315394465673, 0.021412302547803581, 0.021412288800865095, 0.021412274352715879, 0.021412259420990606, 0.021412244241212949, 0.021412229066066223, 0.021412214164618217, 0.021412199821503653, 0.021412186336067191, 0.021412174021470564, 0.021412163203766332, 0.021412154220941105, 0.021412147421930237, 0.021412143165606263, 0.021412141819742124, 0.021412143759950444, 0.021412149368599278, 0.021412159033704307, 0.021412173147796955, 0.021412192106767407, 0.021412216308680787, 0.02141224615256462, 0.02141228203716472, 0.021412324359666633, 0.021412373514379118, 0.02141242989137581, 0.021412493875091136, 0.021412565842865883, 0.021412646163438364, 0.021412735195376641, 0.021412833285447439, 0.021412940766917951, 0.02141305795778671, 0.021413185158940747, 0.021413322652236482, 0.021413470698503106, 0.021413629535468284, 0.021413799375607053, 0.021413980403916788, 0.021414172775622426, 0.021414376613818488, 0.021414592007056435, 0.021414819006888356, 0.021415057625380856, 0.02141530783261544, 0.021415569554195303, 0.021415842668781097, 0.021416127005682142, 0.021416422342532604, 0.021416728403086126, 0.021417044855165872, 0.021417371308810544, 0.021417707314660812, 0.021418052362633788, 0.021418405880936679, 0.021418767235473545, 0.021419135729701926, 0.021419510604997444, 0.021419891041586234, 0.021420276160104376, 0.021420665023842711, 0.021421056641731859, 0.021421449972117628, 0.021421843927369174, 0.021422237379352341, 0.021422629165787462, 0.02142301809749448, 0.021423402966509006, 0.021423782555030177, 0.021424155645136236, 0.021424521029176663, 0.02142487752072077, 0.021425223965915539, 0.021425559255077366, 0.02142588233431942, 0.021426192216996313, 0.021426487994734532, 0.021426768847811011, 0.02142703405464395, 0.021427283000171916, 0.021427515182916392, 0.021427730220552235, 0.021427927853846524, 0.021428107948868409, 0.021428270497419098, 0.021428415615679791, 0.021428543541123325, 0.021428654627781596, 0.021428749340001888, 0.021428828244860733, 0.021428892003431975, 0.021428941361124922, 0.021428977137320279, 0.021429000214533624, 0.021429011527331635, 0.021429012051214079, 0.021429002791656819, 0.021428984773488948, 0.021428959030751711, 0.021428926597159805, 0.021428888497257787, 0.021428845738337109, 0.021428799303153487, 0.021428750143460372, 0.021428699174353357, 0.021428647269402017, 0.021428595256530337, 0.021428543914595505, 0.021428493970605009, 0.021428446097506628, 0.021428400912481761, 0.021428358975671781, 0.021428320789267499, 0.021428286796894701, 0.021428257383232632, 0.02142823287380724, 0.021428213534907616, 0.021428199573580518, 0.02142819113766568, 0.021428188315842332], [0.021629836185976813, 0.021629836097591587, 0.02162983584316892, 0.021629835454874364, 0.021629834986206072, 0.021629834511830634, 0.021629834127358267, 0.02162983394906208, 0.02162983411354746, 0.021629834777379172, 0.021629836116674014, 0.021629838326668791, 0.021629841621273228, 0.021629846232618974, 0.021629852410615654, 0.021629860422525952, 0.021629870552571432, 0.021629883101581416, 0.021629898386696829, 0.021629916741141206, 0.021629938514070524, 0.021629964070513406, 0.021629993791412984, 0.021630028073780897, 0.021630067330973897, 0.021630111993102601, 0.021630162507581527, 0.02163021933982899, 0.021630282974124535, 0.021630353914631265, 0.021630432686589152, 0.021630519837684971, 0.021630615939603325, 0.021630721589762002, 0.021630837413233895, 0.021630964064855374, 0.021631102231519921, 0.021631252634652435, 0.021631416032857162, 0.021631593224727939, 0.021631785051805116, 0.021631992401657148, 0.021632216211058, 0.021632457469222467, 0.021632717221050736, 0.021632996570320452, 0.021633296682748798, 0.021633618788828593, 0.021633964186319889, 0.021634334242253101, 0.02163473039426949, 0.021635154151090404, 0.021635607091868504, 0.021636090864131093, 0.021636607179979724, 0.021637157810162084, 0.02163774457558305, 0.021638369335776505, 0.021639033973819947, 0.02163974037714805, 0.021640490413715453, 0.021641285902983146, 0.021642128581269605, 0.021643020061129888, 0.021643961784619813, 0.021644954970583271, 0.021646000556483507, 0.021647099135793369, 0.021648250892568319, 0.021649455535538351, 0.021650712234843311, 0.021652019565349543, 0.021653375461247508, 0.021654777187236161, 0.021656221331925667, 0.021657703828999838, 0.021659220011048263, 0.021660764699715493, 0.021662332333898079, 0.021663917135219177, 0.021665513307105044, 0.021667115260765632, 0.021668717858609136, 0.02167031666349355, 0.021671908181088568, 0.021673490082727925, 0.021675061397541998, 0.021676622665243912, 0.021678176044388139, 0.021679725374790758, 0.021681276196606279, 0.021682835731844395, 0.021684412836532892, 0.021686017933082773, 0.021687662932632631, 0.021689361156302114, 0.021691127262503523, 0.021692977184891372, 0.021694928082270311, 0.021696998297829621, 0.02169920732027622, 0.021701575733451765, 0.021704125133249586, 0.021706877980184135, 0.021709857341492021, 0.021713086456307835, 0.02171658802872499, 0.021720383113050117, 0.021724489399005439, 0.021728918627020165, 0.021733672760222922, 0.021738738408001796, 0.021744078841959426, 0.021749622794936359, 0.021755249157778673, 0.021760766844531737, 0.02176588980151593, 0.021770208961027382, 0.021773166785292081, 0.021774047011578153, 0.021772002843157758, 0.021766159002546168, 0.02175582796620551, 0.021740859000329606, 0.021722065432887586, 0.021701548938872522, 0.021682629920328565, 0.021669151414372305, 0.021664252709161148, 0.021664894828725832, 0.021666749985354162, 0.021669617968940295, 0.021673205910903947, 0.021677177583791059, 0.021681203264199835, 0.021684999617336543, 0.021688353747655122, 0.021691130821922769, 0.021693268592736133, 0.021694763907348907, 0.021695656125317687, 0.021696011095834595, 0.021695907782347132, 0.021695428300526291, 0.021694651260719587, 0.021693647858391681, 0.021692480017716786, 0.021691199935143304, 0.021689850491345464, 0.021688466138968489, 0.021687073998118641, 0.021685694989872918, 0.021684344909401819, 0.021683035388675879, 0.021681774729575345, 0.021680568606605579, 0.021679420648427469, 0.02167833291207201, 0.021677306265135459, 0.021676340690851403, 0.021675435529606695, 0.021674589668754525, 0.021673801690796295, 0.021673069988325355, 0.021672392852626333, 0.021671768541534381, 0.02167119533107369, 0.021670671554498817, 0.021670195631631833, 0.021669766090798459, 0.021669381585194419, 0.021669040905137681, 0.021668742987366749, 0.021668486922312543, 0.021668271960091998, 0.021668097515833092, 0.021667963174837372, 0.021667868698009976, 0.021667814027934017, 0.02166779929593338, 0.021667824830450863, 0.021667891167068062, 0.021667999060506107, 0.021668149498974103, 0.021668343721273998, 0.021668583237128652, 0.021668869851276168, 0.021669205691970908, 0.02166959324465393, 0.021670035391709554, 0.021670535459416228, 0.021671097273439625, 0.021671725224516551, 0.021672424346355152, 0.021673200408254382, 0.021674060025549911, 0.021675010791766036, 0.021676061437343727, 0.021677222021094643, 0.021678504162195741, 0.02167992132271903, 0.02168148915356825, 0.021683225920522586, 0.021685153032223403, 0.021687295698893463, 0.021689683760083806, 0.021692352732868327, 0.021695345150231037, 0.021698712285272367, 0.021702516393876235, 0.021706833662135782, 0.021711758123748003, 0.021717406930479875, 0.021723927537959244, 0.021731507646376068, 0.021740389173794731, 0.021750888247469249, 0.02176342437012363, 0.021778563911258077, 0.021797086568931145, 0.021820089790524924, 0.021849158105457941, 0.021886647908959046, 0.021936187160262275, 0.022003597148420036, 0.022098697762682654, 0.022239111024623909, 0.022459039343472018, 0.022832037900445492, 0.023540019577110088, 0.025132485479201886, 0.029842522782893711, 0.049599891905065141, 0.054694012090435271, 0.030957550966631327, 0.025365854204193617, 0.023584668896264496, 0.022823739654529076, 0.022434246159175268, 0.022209830178018045, 0.022069393777184313, 0.021976030617931484, 0.021911050398597396, 0.021864187619530042, 0.021829433832111906, 0.0218030882047625, 0.02178277443803547, 0.021766913605091018, 0.021754426690733214, 0.021744559405365682, 0.02173677522568529, 0.021730688099810675, 0.021726019076948204, 0.021722567874984999, 0.021720194105826846, 0.021718804993690718, 0.021718347679698338, 0.021718804993690718, 0.021720194105826825, 0.021722567874984999, 0.021726019076948204, 0.021730688099810679, 0.021736775225685259, 0.021744559405365689, 0.021754426690733228, 0.021766913605091059, 0.021782774438035512, 0.021803088204762448, 0.021829433832111902, 0.021864187619530004, 0.021911050398597372, 0.021976030617931425, 0.022069393777184351, 0.022209830178017944, 0.022434246159175129, 0.022823739654529364, 0.023584668896264874, 0.02536585420419472, 0.030957550966636445, 0.054694012090447608, 0.049599891905077083, 0.029842522782888407, 0.025132485479200595, 0.023540019577109456, 0.022832037900445475, 0.022459039343472004, 0.022239111024623882, 0.022098697762682647, 0.022003597148420068, 0.021936187160262258, 0.021886647908959066, 0.021849158105457938, 0.021820089790524955, 0.021797086568931142, 0.021778563911258077, 0.021763424370123637, 0.02175088824746926, 0.021740389173794748, 0.021731507646376071, 0.021723927537959247, 0.021717406930479872, 0.021711758123748006, 0.021706833662135789, 0.021702516393876235, 0.02169871228527237, 0.021695345150231044, 0.02169235273286833, 0.021689683760083813, 0.021687295698893466, 0.021685153032223403, 0.021683225920522589, 0.021681489153568243, 0.021679921322719033, 0.021678504162195741, 0.021677222021094636, 0.021676061437343731, 0.021675010791766043, 0.021674060025549908, 0.021673200408254378, 0.021672424346355152, 0.021671725224516551, 0.021671097273439629, 0.021670535459416225, 0.021670035391709565, 0.02166959324465393, 0.021669205691970915, 0.021668869851276168, 0.021668583237128648, 0.021668343721274005, 0.021668149498974096, 0.021667999060506104, 0.021667891167068066, 0.021667824830450873, 0.02166779929593338, 0.021667814027934024, 0.021667868698009973, 0.021667963174837376, 0.021668097515833089, 0.021668271960091995, 0.021668486922312546, 0.021668742987366745, 0.021669040905137688, 0.021669381585194419, 0.021669766090798466, 0.02167019563163183, 0.021670671554498817, 0.021671195331073697, 0.021671768541534381, 0.021672392852626329, 0.021673069988325355, 0.021673801690796298, 0.021674589668754525, 0.021675435529606702, 0.021676340690851392, 0.021677306265135456, 0.021678332912072003, 0.021679420648427469, 0.021680568606605576, 0.021681774729575342, 0.021683035388675873, 0.021684344909401819, 0.021685694989872922, 0.021687073998118641, 0.021688466138968496, 0.021689850491345457, 0.021691199935143318, 0.021692480017716811, 0.021693647858391701, 0.021694651260719584, 0.021695428300526308, 0.021695907782347132, 0.021696011095834602, 0.021695656125317681, 0.021694763907348903, 0.021693268592736153, 0.021691130821922738, 0.021688353747655136, 0.021684999617336543, 0.021681203264199842, 0.021677177583791066, 0.02167320591090394, 0.021669617968940291, 0.021666749985354162, 0.021664894828725835, 0.021664252709161152, 0.021664575267542022, 0.021665524628901322, 0.021667047619089455, 0.021669061243076885, 0.021671460264343065, 0.021674126269231719, 0.02167693704211247, 0.021679775166488828, 0.02168253502267195, 0.021685127700676671, 0.021687483705922012, 0.021689553637222372, 0.021691307220957509, 0.021692731182050895, 0.021693826435590476, 0.021694605020392072, 0.021695087098410767, 0.021695298238032415, 0.021695267103142277, 0.021695023593176731, 0.021694597424956497, 0.021694017113302176, 0.021693309290286851, 0.021692498297878299, 0.021691605991415508, 0.021690651698435075, 0.021689652286332625, 0.021688622301585126, 0.021687574151818923, 0.021686518309410232, 0.021685463521401334, 0.021684417015341427, 0.021683384694357412, 0.021682371317502308, 0.021681380663402965, 0.021680415676601276, 0.021679478596899057, 0.021678571072594213, 0.021677694258830503, 0.021676848902445454, 0.021676035414747549, 0.021675253933623868, 0.021674504376302917, 0.02167378648399327, 0.021673099859503955, 0.02167244399883347, 0.021671818317599189, 0.021671222173070874, 0.021670654882471961, 0.021670115738123181, 0.021669604019922468, 0.021669119005585429, 0.021668659979008589, 0.021668226237064388, 0.02166781709509108, 0.021667431891300687, 0.021667069990294611, 0.021666730785847448, 0.021666413703094974, 0.021666118200241655, 0.021665843769885122, 0.021665589940040388, 0.021665356274934332, 0.021665142375629932, 0.021664947880531915, 0.021664772465817207, 0.021664615845828888, 0.021664477773466355, 0.021664358040601361, 0.021664256478546046, 0.021664172958597124, 0.021664107392678392, 0.021664059734102788, 0.021664029978474695, 0.021664018164752795, 0.021664024376494583, 0.021664048743303979, 0.021664091442505102, 0.021664152701066711, 0.021664232797804096, 0.021664332065888005, 0.021664450895692893, 0.021664589738021395, 0.021664749107745542, 0.021664929587911205, 0.021665131834357743, 0.021665356580912482, 0.021665604645227314, 0.021665876935334914, 0.021666174457012601, 0.021666498322055291, 0.02166684975757394, 0.021667230116453582, 0.021667640889125813, 0.021668083716834981, 0.021668560406605687, 0.021669072948153515, 0.021669623533020248, 0.021670214576262746, 0.021670848741080891, 0.021671528966837331, 0.021672258501002538, 0.021673040935655571, 0.021673880249287601, 0.02167478085479705, 0.021675747654736361, 0.0216767861050799, 0.021677902289039, 0.021679103002764256, 0.021680395855164646, 0.021681789384554555, 0.021683293195440493, 0.021684918119511492, 0.02168667640584351, 0.021688581946526481, 0.02169065054544703, 0.021692900239912549, 0.021695351687317732, 0.021698028632317193, 0.021700958474229343, 0.021704172960003182, 0.021707709035513625, 0.021711609897889877, 0.021715926304984246, 0.021720718216332244, 0.021726056865031644, 0.021732027394803073, 0.021738732245428011, 0.021764638657460898, 0.021803758638913841, 0.021866790431580865, 0.021977917668684451, 0.022201743622613755, 0.022762023674914641, 0.024899907832047839, 0.049813893139389706, 0.034048191565637799, 0.023915238080976672, 0.02254559370442805, 0.022125036859039687, 0.021943558155005951, 0.02184918281352069, 0.021793942523263214, 0.021758854132411642, 0.02173519144990612, 0.021718490306069791, 0.021706276125673635, 0.02169708943946147, 0.021690026719938589, 0.021684507471754957, 0.021680149087225403, 0.021676696754809582, 0.021673983475725248, 0.02167190798952218, 0.021670424897233941, 0.021669545273104655, 0.021669349669805764, 0.021670020719396811, 0.02167191342548027, 0.021675708114050785, 0.021682766522282352, 0.021696054977239677, 0.021722933737706281, 0.021785700484355599, 0.021978815420050864, 0.023113052685863368, 0.045894825564838808, 0.022897859083775896, 0.022023211525059351, 0.021833320343777381, 0.021761384215899938, 0.021725962162950925, 0.021705587362503335, 0.021692581938703371, 0.021683630967169375, 0.0216771061693368, 0.021672128619884518, 0.021668188406785794, 0.021664972371705345, 0.021662279129817451, 0.02165997417046709, 0.021657964758987833, 0.021656185228794554, 0.021654588008959346, 0.02165313795769128, 0.021651808673864417, 0.021650580031356954, 0.021649436491400595, 0.021648365922778679, 0.021647358761223826, 0.021646407400117904, 0.021645505741918793, 0.021644648863213108, 0.021643832761379642, 0.021643054160732565, 0.021642310362607154, 0.021641599128321743, 0.021640918587027401, 0.021640267162605961, 0.021639643515296365, 0.021639046494817907, 0.021638475102547058, 0.021637928460881122, 0.021637405788349526, 0.021636906379351714, 0.021636429587641743, 0.021635974812862408, 0.021635541489572734, 0.021635129078321401, 0.021634737058404494, 0.021634364922012692, 0.021634012169527341, 0.021633678305767162, 0.021633362837022729, 0.021633065268744256, 0.021632785103771195, 0.021632521841012279, 0.021632274974499981, 0.02163204399275763, 0.021631828378428371, 0.021631627608124888, 0.021631441152466915, 0.021631268476280503, 0.021631109038938588, 0.021630962294827218, 0.021630827693925932, 0.021630704682493718, 0.021630592703854742, 0.021630491199279851, 0.021630399608961227, 0.02163031737307855, 0.021630243932955404, 0.021630178732304595, 0.021630121218560835, 0.021630070844298532, 0.02163002706873135, 0.021629989359289149, 0.021629957193266391, 0.02162993005953456, 0.021629907460309655, 0.021629888912963878, 0.021629873951869091, 0.021629862130258231, 0.02162985302208888, 0.021629846223892482, 0.021629841356591281, 0.021629838067264189, 0.021629836030842901, 0.021629834951718552, 0.021629834565240362, 0.021629834639087755, 0.021629834974498753, 0.021629835407338607, 0.021629835808994843, 0.021629836087086296, 0.021629836185976813, 0.021629836119767314, 0.021629835930141051, 0.021629835644074457, 0.021629835306427869, 0.021629834979795377, 0.021629834744296091, 0.021629834697307788, 0.02162983495314463, 0.021629835642680742, 0.021629836912921654, 0.021629838926525948, 0.021629841861279493, 0.02162984590952478, 0.021629851277547886, 0.021629858184925643, 0.021629866863835594, 0.02162987755833087, 0.02162989052358252, 0.02162990602509102, 0.021629924337868853, 0.02162994574559542, 0.021629970539745497, 0.021629999018691917, 0.021630031486782556, 0.021630068253391695, 0.021630109631945151, 0.021630155938917924, 0.021630207492803182, 0.021630264613050416, 0.021630327618970688, 0.021630396828606079, 0.021630472557560509, 0.021630555117788556, 0.021630644816338817, 0.021630741954048214, 0.021630846824183491, 0.021630959711026507, 0.021631080888399688, 0.021631210618128616, 0.021631349148439113, 0.021631496712286605, 0.02163165352561653, 0.021631819785555291, 0.02163199566853239, 0.021632181328335776, 0.021632376894103758, 0.021632582468258492, 0.02163279812438814, 0.021633023905086375, 0.021633259819760692, 0.021633505842422792, 0.021633761909477217, 0.02163402791752668, 0.021634303721215845, 0.021634589131137166, 0.021634883911826212, 0.021635187779876018, 0.021635500402202929, 0.02163582139449936, 0.021636150319911, 0.021636486687978691, 0.021636829953887261, 0.02163717951806534, 0.021637534726181885, 0.021637894869585943, 0.021638259186236835, 0.021638626862171689, 0.021638997033555853, 0.021639368789360052, 0.021639741174703832, 0.021640113194900588, 0.021640483820231444, 0.02164085199146696, 0.021641216626143371, 0.021641576625586273, 0.021641930882657746, 0.021642278290183718, 0.021642617749996772, 0.021642948182506762, 0.021643268536686917, 0.021643577800339934, 0.02164387501048505, 0.021644159263687533, 0.021644429726135454, 0.021644685643258148, 0.02164492634867617, 0.021645151272275738, 0.021645359947211878, 0.021645552015663132, 0.021645727233187896, 0.021645885471565266, 0.021646026720042497, 0.021646151084953012, 0.021646258787713472, 0.021646350161251517, 0.021646425644957518, 0.021646485778290318, 0.021646531193198613, 0.021646562605543731, 0.021646580805726387, 0.021646586648729163, 0.021646581043787423, 0.021646564943895653, 0.021646539335344057, 0.021646505227462708, 0.021646463642729725, 0.021646415607375066, 0.021646362142586854, 0.021646304256400396, 0.021646242936325291, 0.021646179142741678, 0.0216461138030749, 0.021646047806738688, 0.02164598200081988, 0.021645917186464542, 0.02164585411591434, 0.021645793490134027, 0.021645735956965687, 0.02164568210974269, 0.021645632486295127, 0.021645587568279986, 0.021645547780771868, 0.021645513492054052, 0.021645485013554691, 0.02164546259987931, 0.021645446448896689, 0.021645436701843115, 0.021645433443416882], [0.021847290193188831, 0.021847291185608991, 0.021847294171633773, 0.021847299177531119, 0.021847306246998464, 0.021847315441041192, 0.021847326837807116, 0.021847340532380959, 0.021847356636544669, 0.021847375278509926, 0.021847396602630371, 0.021847420769101809, 0.021847447953659435, 0.021847478347281783, 0.021847512155911252, 0.021847549600201854, 0.021847590915304631, 0.021847636350701527, 0.021847686170098378, 0.021847740651387507, 0.021847800086690454, 0.021847864782490602, 0.021847935059865653, 0.021848011254829006, 0.02184809371878883, 0.02184818281913321, 0.021848278939948795, 0.021848382482880263, 0.021848493868136833, 0.021848613535651651, 0.021848741946398992, 0.021848879583873233, 0.021849026955732834, 0.021849184595611165, 0.021849353065094702, 0.021849532955867421, 0.021849724892018252, 0.021849929532505738, 0.021850147573771121, 0.021850379752486909, 0.021850626848423631, 0.021850889687411015, 0.021851169144363233, 0.021851466146328481, 0.021851781675512928, 0.021852116772215952, 0.021852472537598578, 0.021852850136188335, 0.02185325079800304, 0.021853675820150773, 0.021854126567734836, 0.021854604473860284, 0.021855111038502347, 0.021855647825957548, 0.021856216460556303, 0.021856818620271928, 0.021857456027818696, 0.021858130438792225, 0.021858843626374674, 0.021859597362110111, 0.021860393392259231, 0.021861233409277488, 0.02186211901803679, 0.021863051696542384, 0.021864032751096458, 0.021865063266143202, 0.021866144049409012, 0.021867275573432925, 0.021868457915168626, 0.021869690696015288, 0.021870973025373851, 0.021872303451574888, 0.021873679924711665, 0.021875099776436997, 0.021876559722029235, 0.021878055889876152, 0.021879583882854468, 0.021881138874820929, 0.021882715743567958, 0.021884309239210809, 0.021885914184244317, 0.021887525698715046, 0.021889139441447426, 0.021890751856410443, 0.021892360412437688, 0.021893963824830335, 0.02189556224892902, 0.021897157438401031, 0.021898752864454214, 0.021900353796044318, 0.021901967344937285, 0.021903602482811549, 0.021905270040134466, 0.021906982698156805, 0.021908754986021437, 0.021910603294774358, 0.021912545919167071, 0.021914603136734163, 0.021916797331862366, 0.021919153170489456, 0.021921697828591519, 0.021924461274439769, 0.021927476600158861, 0.021930780391410862, 0.021934413113472086, 0.021938419475028642, 0.02194284870369527, 0.021947754623259437, 0.021953195352075027, 0.021959232329443475, 0.021965928198467204, 0.02197334279405426, 0.021981526052242947, 0.02199050600433005, 0.022000269074118423, 0.022010728628475119, 0.022021676288822359, 0.022032709565550212, 0.02204313087893307, 0.022051821598918407, 0.02205711939734856, 0.022056780795180919, 0.022048197982195931, 0.022029116567726444, 0.021999014684283096, 0.021960818863112956, 0.021921797843336283, 0.021892145072128787, 0.02188102670348446, 0.021882527351994186, 0.02188680754296864, 0.021893253796588373, 0.021900999859802969, 0.021909109314666927, 0.021916747334431986, 0.021923297333427773, 0.021928404301466867, 0.021931954288578463, 0.02193401585778652, 0.021934770790031345, 0.021934453045340526, 0.021933304462691056, 0.021931547777880388, 0.021929373510629201, 0.021926936236960303, 0.021924356325029194, 0.021921724304238863, 0.021919106085060511, 0.021916548041086347, 0.021914081488772608, 0.021911726410620377, 0.021909494432298168, 0.021907391139411717, 0.021905417844330199, 0.021903572912331356, 0.021901852743726292, 0.021900252492380114, 0.02189876658503459, 0.021897389091734765, 0.021896113985963212, 0.021894935323740056, 0.021893847363657137, 0.021892844644224072, 0.021891922030666505, 0.021891074740131414, 0.021890298351876239, 0.021889588807251184, 0.021888942402975738, 0.021888355780246629, 0.021887825911505836, 0.021887350086179074, 0.021886925896318476, 0.021886551222810965, 0.021886224222619155, 0.021885943317384901, 0.021885707183632072, 0.021885514744743432, 0.021885365164850023, 0.021885257844753141, 0.021885192419996886, 0.021885168761218158, 0.021885186976922138, 0.021885247418861789, 0.021885350690240758, 0.021885497657010845, 0.021885689462598591, 0.021885927546473713, 0.021886213667066324, 0.021886549929655427, 0.021886938819991708, 0.021887383244590275, 0.021887886578841935, 0.021888452724355082, 0.021889086177269042, 0.021889792109691823, 0.0218905764669345, 0.021891446083874014, 0.021892408824617324, 0.021893473750721607, 0.021894651324624224, 0.021895953656759094, 0.021897394807228805, 0.021898991156066763, 0.021900761860345137, 0.02190272942206202, 0.021904920398451624, 0.021907366296929614, 0.021910104711527597, 0.021913180778178443, 0.021916649055283059, 0.021920575977719854, 0.02192504309319258, 0.021930151379520976, 0.0219360270761218, 0.02194282966855552, 0.021950762985058124, 0.021960090872540375, 0.021971159746304616, 0.02198443168609214, 0.02200053411425533, 0.022020336272207869, 0.022045070371040577, 0.022076529898675049, 0.022117406720557415, 0.022171889957635874, 0.022246786932560988, 0.022353757165255287, 0.022514120505773325, 0.022770253709655016, 0.023216189551291271, 0.024094695827991272, 0.02618561543334269, 0.032926048188781559, 0.05940532442430202, 0.046156153825456722, 0.029289082906813972, 0.025117007314157457, 0.023652910778500364, 0.0229896546051464, 0.022637063322793013, 0.022428490342892481, 0.022295418376314838, 0.022205637646544263, 0.022142432226885219, 0.022096443814486555, 0.022062110450708047, 0.022035963502325208, 0.022015753263602639, 0.021999973059064322, 0.021987587368295012, 0.021977870072826994, 0.021970304912971982, 0.021964522535450903, 0.021960259880479258, 0.02195733372057463, 0.021955623536536139, 0.02195506087558486, 0.021955623536536139, 0.021957333720574613, 0.021960259880479269, 0.021964522535450906, 0.021970304912971982, 0.021977870072826956, 0.021987587368295022, 0.021999973059064336, 0.02201575326360268, 0.02203596350232525, 0.022062110450707981, 0.022096443814486548, 0.02214243222688515, 0.022205637646544225, 0.022295418376314737, 0.02242849034289254, 0.022637063322792854, 0.022989654605146171, 0.02365291077850085, 0.025117007314158123, 0.029289082906816893, 0.046156153825470787, 0.059405324424290161, 0.032926048188786035, 0.026185615433340626, 0.024094695827990648, 0.02321618955129089, 0.022770253709655002, 0.022514120505773318, 0.022353757165255263, 0.022246786932560988, 0.022171889957635894, 0.022117406720557412, 0.022076529898675062, 0.022045070371040573, 0.022020336272207893, 0.022000534114255326, 0.021984431686092137, 0.021971159746304619, 0.021960090872540378, 0.021950762985058141, 0.021942829668555524, 0.0219360270761218, 0.021930151379520979, 0.02192504309319258, 0.021920575977719861, 0.021916649055283059, 0.021913180778178446, 0.0219101047115276, 0.021907366296929617, 0.021904920398451627, 0.02190272942206202, 0.021900761860345133, 0.021898991156066763, 0.021897394807228802, 0.021895953656759108, 0.021894651324624224, 0.021893473750721607, 0.021892408824617328, 0.021891446083874014, 0.0218905764669345, 0.02188979210969182, 0.021889086177269042, 0.021888452724355082, 0.021887886578841942, 0.021887383244590268, 0.021886938819991719, 0.021886549929655438, 0.021886213667066324, 0.021885927546473709, 0.021885689462598591, 0.021885497657010842, 0.021885350690240751, 0.021885247418861789, 0.021885186976922141, 0.021885168761218158, 0.021885192419996886, 0.021885257844753141, 0.021885365164850012, 0.021885514744743446, 0.021885707183632072, 0.021885943317384898, 0.021886224222619155, 0.021886551222810965, 0.021886925896318479, 0.021887350086179074, 0.021887825911505836, 0.021888355780246633, 0.021888942402975734, 0.021889588807251191, 0.021890298351876235, 0.021891074740131404, 0.021891922030666502, 0.021892844644224072, 0.021893847363657137, 0.021894935323740053, 0.021896113985963205, 0.021897389091734769, 0.021898766585034583, 0.021900252492380107, 0.021901852743726299, 0.021903572912331346, 0.021905417844330186, 0.02190739113941171, 0.021909494432298168, 0.021911726410620381, 0.021914081488772622, 0.02191654804108634, 0.021919106085060536, 0.021921724304238895, 0.021924356325029225, 0.0219269362369603, 0.021929373510629221, 0.021931547777880402, 0.021933304462691063, 0.02193445304534053, 0.021934770790031345, 0.021934015857786558, 0.021931954288578387, 0.021928404301466902, 0.021923297333427755, 0.021916747334432003, 0.021909109314666955, 0.021900999859802952, 0.02189325379658837, 0.021886807542968633, 0.021882527351994183, 0.021881026703484463, 0.02188178173720107, 0.021883989770876071, 0.021887486432711292, 0.021892019435668396, 0.021897277398984942, 0.021902923503280332, 0.021908628789966963, 0.021914100382643964, 0.02191910132289485, 0.021923460666545418, 0.021927074416188692, 0.021929899283095834, 0.021931941936287724, 0.021933246350114573, 0.021933881335197407, 0.021933929613663652, 0.021933479105700475, 0.021932616558590547, 0.021931423308087405, 0.021929972792757581, 0.021928329397111736, 0.021926548229658886, 0.021924675508178997, 0.021922749300282322, 0.021920800437871448, 0.021918853482810342, 0.021916927666334563, 0.021915037757586065, 0.02191319483929521, 0.021911406983432358, 0.02190967982875475, 0.021908017067315218, 0.021906420849505243, 0.021904892118033353, 0.021903430881060913, 0.021902036433981115, 0.021900707538324148, 0.021899442565183478, 0.021898239609492977, 0.021897096580497481, 0.021896011272879937, 0.021894981422242971, 0.021894004747988454, 0.021893078986087031, 0.021892201913769716, 0.021891371367791866, 0.02189058525760635, 0.021889841574525518, 0.021889138397741623, 0.021888473897904843, 0.02188784633881952, 0.021887254077707034, 0.021886695564393391, 0.021886169339706128, 0.021885674033306941, 0.021885208361138581, 0.021884771122627048, 0.021884361197749606, 0.021883977544054897, 0.021883619193702193, 0.021883285250571535, 0.021882974887484301, 0.021882687343564525, 0.021882421921763484, 0.021882177986565023, 0.021881954961884137, 0.021881752329168599, 0.021881569625711098, 0.02188140644317765, 0.021881262426357472, 0.021881137272138761, 0.021881030728715365, 0.021880942595029353, 0.02188087272045558, 0.02188082100473528, 0.021880787398167442, 0.021880771902067858, 0.021880774569508328, 0.021880795506350605, 0.021880834872591959, 0.021880892884042998, 0.021880969814360964, 0.021881065997466302, 0.021881181830374189, 0.021881317776478358, 0.021881474369329312, 0.021881652216956912, 0.02188185200679349, 0.021882074511263311, 0.021882320594113703, 0.021882591217574715, 0.02188288745044777, 0.02188321047723911, 0.021883561608472036, 0.02188394229233331, 0.021884354127833492, 0.021884798879690949, 0.02188527849518301, 0.021885795123249164, 0.021886351136179167, 0.02188694915427699, 0.021887592073959992, 0.021888283099835516, 0.021889025781396062, 0.021889824055093918, 0.021890682292701129, 0.021891605357036305, 0.021892598666355335, 0.021893668268965528, 0.021894820929946903, 0.0218960642322646, 0.021897406695052621, 0.02189885791246916, 0.021900428717300049, 0.021902131374466012, 0.021903979810828741, 0.021905989889271942, 0.021908179737058751, 0.021910570141080991, 0.021913185026010806, 0.021916052035804948, 0.021919203244863447, 0.021922676032914076, 0.021926514168099123, 0.021930769156797304, 0.021935501937880155, 0.021940785025499947, 0.021946705241247883, 0.021969452990792938, 0.022003429179478572, 0.022057295864600455, 0.022149965319838604, 0.022329417940320988, 0.022748363046291294, 0.024124413131893084, 0.034428435664135559, 0.049840787395433836, 0.025176564447245149, 0.023017558476426638, 0.022446166330390035, 0.022216153498499463, 0.022101164845006134, 0.022035512239123343, 0.021994502424381068, 0.021967171192910445, 0.021948047152734972, 0.021934153225048748, 0.021923758508666662, 0.021915803449585054, 0.021909613451517408, 0.021904747189557545, 0.021900912624243641, 0.021897919524021051, 0.021895653431711147, 0.02189406407581037, 0.02189316611843348, 0.021893054500262722, 0.021893943069673398, 0.021896248579022368, 0.021900775776516748, 0.021909156015965117, 0.021925012860337767, 0.021957612308567465, 0.022036452155673864, 0.022298813871312956, 0.024261815537297133, 0.032802044365574663, 0.022777269338674265, 0.022181594638308377, 0.022030739533360964, 0.021969908944365443, 0.021938932256327762, 0.02192073716030675, 0.021908954357854931, 0.02190075769455482, 0.021894732280140172, 0.021890103655712128, 0.021886417742387868, 0.021883393363453341, 0.021880848507202406, 0.021878660949457673, 0.021876746050344079, 0.021875043649523411, 0.021873510023887929, 0.02187211278279446, 0.02187082753095107, 0.021869635629384158, 0.021868522658002643, 0.021867477337812025, 0.021866490761121054, 0.021865555832364138, 0.021864666855641493, 0.021863819226211719, 0.02186300919679484, 0.021862233698494906, 0.021861490202138519, 0.021860776609893919, 0.021860091169842107, 0.021859432408134843, 0.02185879907476538, 0.021858190099975153, 0.021857604559043314, 0.021857041643736152, 0.021856500639086514, 0.021855980904466759, 0.021855481858140884, 0.02185500296465008, 0.021854543724516347, 0.021854103665848976, 0.02185368233751811, 0.021853279303621433, 0.021852894139019943, 0.021852526425758124, 0.021852175750216512, 0.021851841700870858, 0.021851523866553365, 0.021851221835130122, 0.02185093519252318, 0.021850663522018664, 0.021850406403812847, 0.021850163414756894, 0.021849934128268741, 0.02184971811438691, 0.021849514939946534, 0.021849324168862205, 0.021849145362506393, 0.021848978080174872, 0.021848821879633461, 0.021848676317742, 0.021848540951153215, 0.021848415337084769, 0.021848299034163896, 0.021848191603343534, 0.021848092608889307, 0.021848001619435932, 0.021847918209111101, 0.021847841958723746, 0.021847772457012613, 0.021847709301949864, 0.021847652102092673, 0.021847600477975009, 0.021847554063529621, 0.02184751250752949, 0.021847475475036338, 0.021847442648842755, 0.021847413730893692, 0.021847388443671963, 0.021847366531532453, 0.021847347761969099, 0.021847331926799034, 0.021847318843248947, 0.02184730835492911, 0.021847300332682028, 0.021847294675293956, 0.021847291310059132, 0.021847290193188831, 0.021847290937541751, 0.021847293177626636, 0.021847296934497582, 0.021847302243164102, 0.021847309152470636, 0.021847317724928768, 0.021847328036503112, 0.02184734017635195, 0.021847354246523999, 0.02184737036161271, 0.02184738864836985, 0.02184740924527992, 0.021847432302097292, 0.021847457979347756, 0.021847486447796147, 0.0218475178878819, 0.021847552489123623, 0.021847590449494438, 0.021847631974768984, 0.02184767727784289, 0.02184772657802541, 0.02184778010030539, 0.021847838074590575, 0.021847900734919733, 0.021847968318646774, 0.021848041065595864, 0.02184811921718581, 0.02184820301552199, 0.021848292702453462, 0.021848388518593026, 0.02184849070229716, 0.021848599488603161, 0.021848715108120226, 0.02184883778587152, 0.021848967740083804, 0.021849105180921896, 0.021849250309165118, 0.021849403314823181, 0.021849564375689579, 0.02184973365583133, 0.021849911304014195, 0.021850097452063986, 0.021850292213165305, 0.021850495680100342, 0.021850707923432085, 0.021850928989637537, 0.021851158899198544, 0.021851397644659695, 0.021851645188664743, 0.021851901461985422, 0.021852166361558491, 0.021852439748549495, 0.021852721446463868, 0.021853011239328562, 0.021853308869969546, 0.021853614038412971, 0.021853926400439552, 0.021854245566323944, 0.021854571099792421, 0.02185490251723355, 0.02185523928719767, 0.02185558083022195, 0.021855926519017882, 0.021856275679058297, 0.021856627589600556, 0.021856981485181424, 0.021857336557617787, 0.021857691958545138, 0.021858046802522527, 0.021858400170728993, 0.02185875111527108, 0.02185909866411442, 0.021859441826644475, 0.021859779599851289, 0.021860110975121177, 0.021860434945604367, 0.021860750514111706, 0.021861056701475326, 0.021861352555289953, 0.0218616371589305, 0.021861909640723071, 0.021862169183126792, 0.021862415031768126, 0.021862646504156109, 0.021862862997898629, 0.021863063998237356, 0.021863249084722581, 0.021863417936860301, 0.021863570338581693, 0.021863706181409495, 0.021863825466226706, 0.021863928303587622, 0.021864014912549776, 0.021864085618044857, 0.021864140846845497, 0.021864181122221951, 0.021864207057414913, 0.021864219348078626, 0.021864218763869108, 0.021864206139366418, 0.021864182364526964, 0.021864148374861333, 0.021864105141527, 0.021864053661512554, 0.021863994948073562, 0.021863930021559674, 0.021863859900749738, 0.021863785594787872, 0.021863708095789126, 0.021863628372159875, 0.021863547362656163, 0.021863465971182883, 0.021863385062319277, 0.021863305457541126, 0.021863227932097516, 0.021863153212491077, 0.021863081974502922, 0.021863014841699613, 0.02186295238435702, 0.021862895118735553, 0.021862843506642686, 0.021862797955221551, 0.021862758816908436, 0.021862726389506724, 0.021862700916331006, 0.021862682586381035, 0.021862671534512119, 0.021862667841575849], [0.022063190631258025, 0.022063192728526651, 0.02206319902709342, 0.022063209547224995, 0.0220632243226461, 0.022063243400461875, 0.022063266841053263, 0.022063294717949062, 0.022063327117679575, 0.02206336413961776, 0.022063405895814243, 0.022063452510833706, 0.022063504121600425, 0.022063560877261603, 0.022063622939076995, 0.022063690480344181, 0.022063763686368587, 0.022063842754487507, 0.022063927894157429, 0.022064019327113597, 0.022064117287610825, 0.022064222022753818, 0.022064333792925436, 0.022064452872320461, 0.022064579549592123, 0.022064714128618282, 0.022064856929393192, 0.022065008289050819, 0.022065168563024363, 0.022065338126346454, 0.02206551737509346, 0.022065706727976607, 0.022065906628081527, 0.022066117544756687, 0.022066339975649878, 0.022066574448889896, 0.022066821525408929, 0.022067081801398096, 0.022067355910885853, 0.022067644528424663, 0.022067948371866857, 0.022068268205204498, 0.022068604841440957, 0.022068959145453187, 0.02206933203679326, 0.022069724492364912, 0.022070137548896328, 0.022070572305112442, 0.02207102992348969, 0.022071511631452621, 0.022072018721844423, 0.022072552552473403, 0.022073114544503752, 0.022073706179422694, 0.022074328994278185, 0.022074984574842572, 0.022075674546321162, 0.022076400561192866, 0.022077164283746949, 0.022077967370872517, 0.022078811448670934, 0.022079698084506574, 0.022080628754197668, 0.022081604804188772, 0.022082627408752907, 0.022083697522555987, 0.022084815829291071, 0.02208598268755773, 0.022087198075725147, 0.022088461538156395, 0.022089772135861038, 0.022091128405329764, 0.022092528329918277, 0.022093969328593806, 0.022095448267028837, 0.022096961495808459, 0.022098504919813688, 0.022100074101589873, 0.02210166439970946, 0.022103271140877106, 0.022104889821983435, 0.022106516335762369, 0.022108147211477285, 0.022109779860498169, 0.022111412816033231, 0.022113045956830817, 0.022114680706407017, 0.022116320202144338, 0.022117969432163428, 0.022119635341812015, 0.022121326915537028, 0.022123055243453996, 0.022124833584860486, 0.022126677443163371, 0.022128604668260176, 0.022130635603523709, 0.022132793295471541, 0.022135103785303291, 0.022137596503124742, 0.02214030478821593, 0.022143266562494296, 0.022146525189708326, 0.022150130560175764, 0.022154140450288882, 0.022158622217619953, 0.022163654905953414, 0.022169331848767394, 0.022175763871554118, 0.022183083196051726, 0.022191448128298128, 0.022201048536990238, 0.022212111936770935, 0.022224909556857131, 0.022239760845224398, 0.022257032925126052, 0.022277127583539898, 0.022300440516375402, 0.022327262366743185, 0.022357563454595185, 0.022390560309905331, 0.02242391716608769, 0.022452483664951506, 0.022466919737799036, 0.022453944490106986, 0.022401798945262091, 0.02231215344527384, 0.0222084835163644, 0.022126862562460027, 0.022096216713204012, 0.022100453329693962, 0.022112561620572822, 0.022130754829129726, 0.022152220588545195, 0.022173611523971671, 0.022191854987930703, 0.02220493395287856, 0.022212215600441298, 0.022214223952153743, 0.022212115863259406, 0.022207187790495065, 0.02220057581563854, 0.022193143652182633, 0.022185485917358833, 0.022177979557133402, 0.022170843714824563, 0.022164191031657121, 0.022158066086183391, 0.022152472102422008, 0.022147388622437793, 0.022142782785169367, 0.022138616300215051, 0.022134849615419804, 0.022131444298233056, 0.02212836430297313, 0.022125576557654909, 0.022123051145895356, 0.022120761256680214, 0.022118683008933059, 0.022116795216039334, 0.022115079129167388, 0.022113518181799928, 0.022112097747729965, 0.022110804918575682, 0.022109628303159719, 0.022108557848943642, 0.022107584684518535, 0.022106700981553973, 0.022105899834363812, 0.022105175155212528, 0.02210452158356702, 0.022103934407640906, 0.022103409496746374, 0.022102943243143391, 0.022102532512245442, 0.022102174600200402, 0.022101867198011039, 0.022101608361492366, 0.022101396486483241, 0.022101230288838106, 0.022101108788824476, 0.022101031299643217, 0.022100997419875264, 0.022101007029741378, 0.022101060291143594, 0.022101157651540165, 0.022101299851793432, 0.022101487938223457, 0.022101723279205419, 0.022102007586766264, 0.022102342943774448, 0.022102731837478327, 0.022103177200343965, 0.022103682459379392, 0.022104251595422824, 0.022104889214232155, 0.022105600631662392, 0.022106391975783811, 0.022107270309511533, 0.022108243778233498, 0.022109321788104177, 0.022110515222198573, 0.022111836703716404, 0.022113300918048896, 0.022114925008999184, 0.022116729069095314, 0.022118736750206393, 0.022120976029207127, 0.022123480175172409, 0.022126288980890339, 0.022129450344396097, 0.022133022318820077, 0.022137075795800657, 0.022141698056318274, 0.022146997524565056, 0.022153110213872809, 0.022160208589137309, 0.022168513938489821, 0.02217831393554659, 0.022189988036335446, 0.022204044971001657, 0.022221179381806032, 0.022242359638031527, 0.022268968067074048, 0.022303032586894589, 0.022347624573585217, 0.022407574281202682, 0.022490829108127979, 0.022611207125418656, 0.022794448457988791, 0.023092940002456156, 0.023626616422468733, 0.024718748224323572, 0.027473104925370605, 0.037080502275267956, 0.0654129894213617, 0.040388265278191268, 0.028301089711380026, 0.025018704267958852, 0.023771011695808333, 0.023177407444532044, 0.022851481680577851, 0.022654233019720121, 0.022526242022364539, 0.022438772042808912, 0.022376583979225428, 0.02233100029604445, 0.02229679306613918, 0.022270666152972164, 0.022250463257284317, 0.022234731131359636, 0.022222467316642111, 0.02221296876954645, 0.022205738164431357, 0.02220042453481132, 0.022196785179307274, 0.022194661308607363, 0.022193963050686907, 0.022194661308607352, 0.022196785179307257, 0.02220042453481133, 0.02220573816443136, 0.02221296876954645, 0.022222467316642062, 0.022234731131359646, 0.022250463257284324, 0.022270666152972216, 0.022296793066139232, 0.022331000296044359, 0.022376583979225418, 0.022438772042808818, 0.02252624202236448, 0.022654233019719992, 0.022851481680577955, 0.023177407444531766, 0.023771011695807934, 0.02501870426795981, 0.028301089711381396, 0.040388265278199754, 0.065412989421356052, 0.037080502275262488, 0.027473104925372225, 0.02471874822432258, 0.023626616422468376, 0.023092940002455906, 0.02279444845798877, 0.022611207125418649, 0.022490829108127962, 0.022407574281202675, 0.022347624573585238, 0.022303032586894578, 0.022268968067074058, 0.022242359638031523, 0.022221179381806056, 0.022204044971001653, 0.022189988036335446, 0.022178313935546593, 0.022168513938489828, 0.022160208589137316, 0.022153110213872809, 0.02214699752456506, 0.022141698056318271, 0.022137075795800661, 0.022133022318820084, 0.0221294503443961, 0.022126288980890339, 0.022123480175172412, 0.022120976029207123, 0.022118736750206393, 0.022116729069095318, 0.022114925008999184, 0.022113300918048903, 0.02211183670371639, 0.022110515222198576, 0.022109321788104166, 0.022108243778233502, 0.022107270309511533, 0.022106391975783818, 0.022105600631662389, 0.022104889214232159, 0.022104251595422824, 0.022103682459379392, 0.022103177200343972, 0.02210273183747833, 0.022102342943774451, 0.022102007586766274, 0.022101723279205419, 0.022101487938223464, 0.022101299851793429, 0.022101157651540165, 0.022101060291143587, 0.022101007029741382, 0.022100997419875264, 0.022101031299643217, 0.022101108788824476, 0.022101230288838106, 0.022101396486483234, 0.022101608361492369, 0.022101867198011035, 0.022102174600200399, 0.022102532512245442, 0.022102943243143387, 0.022103409496746374, 0.022103934407640902, 0.022104521583567016, 0.022105175155212528, 0.022105899834363812, 0.022106700981553973, 0.022107584684518535, 0.022108557848943642, 0.022109628303159715, 0.022110804918575679, 0.022112097747729969, 0.022113518181799928, 0.022115079129167374, 0.022116795216039334, 0.022118683008933045, 0.022120761256680208, 0.022123051145895356, 0.022125576557654902, 0.022128364302973116, 0.022131444298233046, 0.022134849615419817, 0.022138616300215054, 0.022142782785169401, 0.022147388622437796, 0.02215247210242206, 0.022158066086183446, 0.022164191031657187, 0.022170843714824556, 0.022177979557133451, 0.022185485917358864, 0.022193143652182647, 0.02220057581563856, 0.022207187790495075, 0.022212115863259531, 0.022214223952153486, 0.022212215600441426, 0.022204933952878498, 0.022191854987930748, 0.022173611523971775, 0.022152220588545154, 0.022130754829129722, 0.022112561620572801, 0.022100453329693955, 0.022096216713204008, 0.022098347432892709, 0.022104587831160195, 0.022114483094760232, 0.02212728484935042, 0.022141989419237111, 0.022157423728851572, 0.022172380915697884, 0.02218578134199356, 0.022196814787280281, 0.022205021437377861, 0.022210293548064482, 0.022212810712777375, 0.022212941101207653, 0.022211141924426608, 0.022207880646725003, 0.022203584270747055, 0.022198614028280456, 0.022193258456827365, 0.02218773754346642, 0.022182212217478667, 0.022176795457227932, 0.02217156292682447, 0.022166562188765077, 0.022161820213040067, 0.02215734925444254, 0.022153151321065222, 0.022149221497340051, 0.02214555037096189, 0.022142125777077921, 0.02213893403218635, 0.022135960792168743, 0.022133191636733513, 0.022130612456777471, 0.022128209701187625, 0.022125970524445215, 0.022123882865070145, 0.022121935476574664, 0.022120117926458991, 0.022118420574310897, 0.022116834536827917, 0.022115351645238535, 0.022113964398914762, 0.022112665917760316, 0.022111449895098188, 0.022110310552170855, 0.022109242594936143, 0.022108241173542154, 0.022107301844657607, 0.022106420536694569, 0.022105593517867519, 0.022104817366974627, 0.02210408894675147, 0.022103405379629404, 0.022102764025722924, 0.022102162462871083, 0.022101598468563129, 0.022101070003586919, 0.022100575197248708, 0.022100112334024324, 0.022099679841512752, 0.022099276279574625, 0.022098900330548756, 0.02209855079045046, 0.022098226561064745, 0.02209792664285673, 0.022097650128629839, 0.02209739619787016, 0.022097164111722235, 0.022096953208548476, 0.022096762900029911, 0.022096592667772103, 0.02209644206038484, 0.022096310691009296, 0.022096198235270967, 0.022096104429640665, 0.022096029070190586, 0.022095972011735972, 0.022095933167357307, 0.022095912508301587, 0.022095910064265617, 0.022095925924067988, 0.022095960236721151, 0.022096013212919145, 0.022096085126961741, 0.022096176319140907, 0.022096287198621237, 0.022096418246852653, 0.022096570021560638, 0.022096743161367439, 0.022096938391106984, 0.022097156527906472, 0.022097398488119788, 0.022097665295211823, 0.022097958088708423, 0.022098278134345846, 0.022098626835574821, 0.022099005746600165, 0.022099416587166527, 0.022099861259336242, 0.022100341866546854, 0.022100860735285398, 0.022101420439775525, 0.022102023830143723, 0.022102674064615541, 0.022103374646393798, 0.022104129465993966, 0.022104942849959511, 0.022105819617061553, 0.022106765143306971, 0.022107785437350008, 0.022108887228235508, 0.022110078067813597, 0.022111366450678099, 0.022112761955119693, 0.022114275409387783, 0.022115919088566544, 0.022117706948655117, 0.022119654906080113, 0.022121781172971387, 0.022124106661249532, 0.022126655472106682, 0.02212945549209145, 0.022132539123116801, 0.02213594418183483, 0.022139715014720864, 0.022143903889957132, 0.022148572747354791, 0.022153795415354186, 0.022173768369191021, 0.022203318426758639, 0.022249509494402173, 0.022327288141464872, 0.022472877995072166, 0.022793498903502747, 0.023729991325757073, 0.02880336660053608, 0.083410750897080901, 0.027263350119133126, 0.023593735362763164, 0.022794443557817883, 0.022498565993602941, 0.022357254266252267, 0.022278812555688192, 0.02223072215723056, 0.022199088803705101, 0.022177164801113772, 0.022161351701152538, 0.022149589249894831, 0.022140631383729133, 0.022133692366127881, 0.022128262198781303, 0.022124005654263017, 0.022120705742262006, 0.022118232933235001, 0.022116531533931099, 0.022115620609119188, 0.022115612143421375, 0.022116756965813687, 0.022119545513715647, 0.022124932889723645, 0.022134882385118126, 0.022153848948392649, 0.022193609947064138, 0.022293811894694135, 0.022660594663692222, 0.026481985910688347, 0.027186338491419403, 0.022775623078034123, 0.022351518703094653, 0.02222990693847697, 0.022178128830132583, 0.022150951352102509, 0.02213467678446103, 0.022123994471629688, 0.022116487592733301, 0.022110924454789134, 0.022106621982714826, 0.022103175662266231, 0.022100333046016989, 0.022097929695282112, 0.022095854621172872, 0.022094030636315903, 0.022092402678621916, 0.022090930604717094, 0.022089584593624045, 0.022088342129727899, 0.022087185971395664, 0.022086102751899428, 0.022085081996043109, 0.022084115416186528, 0.022083196399843165, 0.022082319631045778, 0.022081480806686975, 0.022080676421335526, 0.022079903602129306, 0.022079159980776371, 0.022078443593394226, 0.022077752801474282, 0.022077086229049976, 0.022076442712418577, 0.022075821259679839, 0.022075221018017611, 0.022074641247137844, 0.02207408129763647, 0.022073540593341514, 0.022073018616877375, 0.022072514897855076, 0.022072029003211813, 0.022071560529316012, 0.022071109095526779, 0.022070674338953995, 0.022070255910210994, 0.022069853469988274, 0.022069466686306674, 0.022069095232332508, 0.022068738784657014, 0.022068397021959379, 0.022068069623986022, 0.022067756270790585, 0.022067456642189114, 0.022067170417392649, 0.022066897274787143, 0.022066636891836123, 0.022066388945086925, 0.022066153110265285, 0.022065929062447188, 0.022065716476299364, 0.022065515026382501, 0.022065324387513352, 0.022065144235183066, 0.022064974246030516, 0.022064814098369936, 0.022064663472772594, 0.022064522052702287, 0.022064389525204377, 0.022064265581647421, 0.022064149918515935, 0.022064042238251928, 0.022063942250141962, 0.022063849671245091, 0.022063764227356435, 0.022063685653999292, 0.022063613697438134, 0.022063548115703321, 0.022063488679617604, 0.022063435173813636, 0.022063387397730741, 0.02206334516657929, 0.022063308312260228, 0.022063276684227761, 0.022063250150283202, 0.022063228597288952, 0.022063211931791882, 0.022063200080547102, 0.022063192990933976, 0.022063190631258025, 0.022063192204204302, 0.022063196928050761, 0.022063204817802121, 0.022063215898405864, 0.022063230204661846, 0.022063247781096522, 0.022063268681802032, 0.022063292970241188, 0.022063320719018877, 0.022063352009621024, 0.02206338693212188, 0.022063425584860737, 0.022063468074089071, 0.022063514513588824, 0.022063565024262953, 0.0220636197336989, 0.022063678775705375, 0.022063742289823152, 0.022063810420809921, 0.022063883318099154, 0.022063961135232745, 0.022064044029266767, 0.022064132160149585, 0.022064225690071115, 0.022064324782781693, 0.022064429602878976, 0.022064540315060634, 0.022064657083340822, 0.022064780070227597, 0.022064909435859047, 0.022065045337094771, 0.022065187926560405, 0.022065337351641949, 0.022065493753427159, 0.022065657265591648, 0.022065828013226981, 0.022066006111609172, 0.022066191664906119, 0.022066384764822956, 0.02206658548918591, 0.022066793900465127, 0.022067010044239069, 0.022067233947603643, 0.022067465617530955, 0.022067705039184284, 0.022067952174197256, 0.022068206958927646, 0.022068469302697534, 0.022068739086034343, 0.022069016158928909, 0.022069300339129322, 0.022069591410491193, 0.022069889121407123, 0.022070193183340536, 0.022070503269490171, 0.022070819013613817, 0.022071140009040875, 0.022071465807904145, 0.022071795920622441, 0.022072129815665108, 0.022072466919629979, 0.022072806617665232, 0.022073148254264603, 0.022073491134463993, 0.022073834525465429, 0.022074177658711797, 0.022074519732433334, 0.022074859914683047, 0.022075197346874829, 0.022075531147833415, 0.022075860418360307, 0.022076184246313729, 0.022076501712193723, 0.022076811895215324, 0.022077113879842979, 0.022077406762748598, 0.02207768966014282, 0.022077961715415585, 0.022078222107006901, 0.022078470056413148, 0.022078704836219393, 0.022078925778032769, 0.022079132280180075, 0.022079323815022409, 0.022079499935733937, 0.022079660282390993, 0.022079804587221551, 0.02207993267887632, 0.022080044485598638, 0.022080140037192837, 0.022080219465718049, 0.022080283004865819, 0.022080330988013416, 0.022080363844980383, 0.02208038209754945, 0.022080386353845793, 0.022080377301696267, 0.022080355701114711, 0.022080322376076184, 0.022080278205755009, 0.022080224115406243, 0.022080161067068498, 0.022080090050259221, 0.022080012072821155, 0.022079928152062261, 0.022079839306312389, 0.022079746546998048, 0.022079650871315023, 0.022079553255555464, 0.022079454649125054, 0.022079355969265409, 0.022079258096478645, 0.022079161870635237, 0.022079068087732669, 0.022078977497261607, 0.022078890800128044, 0.022078808647073563, 0.022078731637532774, 0.02207866031886466, 0.022078595185895271, 0.0220785366807103, 0.022078485192639469, 0.022078441058378528, 0.022078404562199151, 0.022078375936203258, 0.022078355360583661, 0.022078342963859805, 0.022078338823063922], [0.022274564205668063, 0.022274567483033258, 0.022274577319757481, 0.022274593729720158, 0.02227461673603227, 0.022274646371005954, 0.022274682676115418, 0.022274725701952373, 0.022274775508180161, 0.022274832163491631, 0.022274895745576281, 0.022274966341102955, 0.022275044045724921, 0.022275128964114311, 0.022275221210033534, 0.022275320906451183, 0.022275428185710246, 0.022275543189756303, 0.022275666070433311, 0.022275796989854508, 0.022275936120855506, 0.022276083647536658, 0.022276239765900964, 0.022276404684593888, 0.022276578625750471, 0.022276761825955168, 0.022276954537318736, 0.022277157028676522, 0.022277369586911309, 0.022277592518403708, 0.022277826150611958, 0.022278070833782301, 0.022278326942790107, 0.02227859487911063, 0.022278875072917023, 0.022279167985301239, 0.022279474110611614, 0.022279793978898153, 0.022280128158453261, 0.022280477258431953, 0.022280841931530581, 0.022281222876697173, 0.022281620841839628, 0.022282036626489064, 0.022282471084365714, 0.022282925125781988, 0.022283399719803497, 0.022283895896071503, 0.022284414746170728, 0.022284957424404308, 0.022285525147812197, 0.022286119195241112, 0.022286740905243609, 0.02228739167255106, 0.022288072942831742, 0.022288786205412067, 0.022289532983608938, 0.022290314822296795, 0.022291133272318985, 0.022291989871354834, 0.022292886120878382, 0.022293823458900054, 0.022294803228279651, 0.022295826640547349, 0.022296894735381632, 0.022298008336179318, 0.022299168002521488, 0.022300373980793542, 0.022301626154754128, 0.02230292399844901, 0.022304266534502935, 0.022305652301444184, 0.022307079334255176, 0.022308545162709473, 0.022310046832152843, 0.022311580951110736, 0.022313143769374197, 0.022314731288981652, 0.022316339408790454, 0.022317964101211882, 0.022319601617347366, 0.022321248714474752, 0.022322902897905183, 0.022324562667984525, 0.022326227762722389, 0.022327899387361294, 0.022329580424175644, 0.022331275618783664, 0.022332991743006389, 0.022334737738479125, 0.022336524849469405, 0.022338366757406265, 0.022340279733335092, 0.022342282827900618, 0.022344398121737784, 0.022346651062703501, 0.02234907092077899, 0.022351691397463468, 0.022354551435035189, 0.022357696283449909, 0.022361178900611095, 0.022365061787727316, 0.022369419399046249, 0.022374341319775445, 0.022379936485655581, 0.022386338835134623, 0.02239371496035749, 0.022402274587947912, 0.022412285125697064, 0.022424092138891592, 0.022438148602452634, 0.022455057322437126, 0.022475633351260377, 0.022500996957863773, 0.022532713080651089, 0.022572999374190522, 0.022625025766854306, 0.022693296156227998, 0.022783929384735269, 0.022903956173373936, 0.023056370489714262, 0.023222112551315247, 0.023323016640636164, 0.023232837515703014, 0.022951858229556064, 0.02265260421161, 0.022447308908876858, 0.022339524314706743, 0.022306803463194302, 0.022311297852385861, 0.022325339202334309, 0.022350515408974033, 0.022388985871786872, 0.022442021667839231, 0.022506791228719441, 0.0225724529521142, 0.022621266568991286, 0.022639450835044775, 0.022627591950543237, 0.022597184635121607, 0.022560276316865111, 0.022524290968245129, 0.022492389836636661, 0.022465310233421076, 0.022442738138850411, 0.022424023141361847, 0.022408485488632474, 0.022395525086731531, 0.022384646424516957, 0.022375452093629317, 0.022367627087468103, 0.022360922427744932, 0.022355140946699121, 0.022350125799421815, 0.022345751480574782, 0.022341916902136282, 0.022338540087979569, 0.022335554108452317, 0.022332903956431029, 0.022330544135920394, 0.022328436790366366, 0.022326550241074983, 0.022324857838693937, 0.022323337054988294, 0.022321968760157941, 0.022320736644314144, 0.022319626751674034, 0.022318627103451345, 0.022317727390985205, 0.022316918724841962, 0.022316193428803182, 0.022315544870076677, 0.022314967318926276, 0.022314455832350817, 0.022314006157557763, 0.022313614651848175, 0.022313278216216415, 0.022312994240512484, 0.022312760558450658, 0.022312575411100766, 0.022312437417785991, 0.02231234555355054, 0.022312299132561969, 0.022312297796987735, 0.022312341511039707, 0.022312430560022616, 0.022312565554357119, 0.022312747438681928, 0.022312977506277025, 0.022313257419198131, 0.022313589234676103, 0.022313975438522926, 0.022314418986505727, 0.022314923354912957, 0.022315492601857008, 0.022316131441250189, 0.022316845331881996, 0.022317640584640506, 0.022318524491701963, 0.022319505482509994, 0.022320593312650915, 0.022321799293397882, 0.022323136571876432, 0.022324620474675719, 0.022326268931545136, 0.022328103000928846, 0.022330147526002462, 0.022332431959310919, 0.022334991407113133, 0.022337867962664671, 0.022341112423218814, 0.022344786521983434, 0.022348965858981402, 0.022353743792061415, 0.022359236664410295, 0.022365590919188206, 0.022372992920561437, 0.02238168272280679, 0.022391973707807714, 0.022404281127878903, 0.022419164477186764, 0.022437391896606193, 0.022460040716649751, 0.022488659251424355, 0.022525536383483827, 0.022574169260058796, 0.022640114063840953, 0.022732623440602683, 0.022868020770760528, 0.023077266233193183, 0.023424838531461847, 0.024062928993405029, 0.025419357466391103, 0.029041555909402429, 0.04242826511629838, 0.06464002145653519, 0.036818445462856231, 0.027739636310684684, 0.025029247362425736, 0.023928941658752683, 0.023383519992834036, 0.0230756706447218, 0.022885651627075048, 0.022760532273179146, 0.022674073569359882, 0.022612094497484345, 0.022566398459301654, 0.022531988163004522, 0.022505683253029863, 0.022485388669863306, 0.022469686405081086, 0.022457597543173925, 0.02244843854951005, 0.02244173209466014, 0.022437150802827582, 0.022434481786737643, 0.022433605039884546, 0.022434481786737646, 0.022437150802827547, 0.022441732094660157, 0.02244843854951006, 0.022457597543173932, 0.022469686405081023, 0.022485388669863327, 0.022505683253029877, 0.022531988163004585, 0.022566398459301716, 0.022612094497484227, 0.022674073569359885, 0.022760532273179011, 0.022885651627074961, 0.023075670644721599, 0.023383519992834192, 0.023928941658752201, 0.025029247362424921, 0.027739636310686846, 0.036818445462861595, 0.064640021456541921, 0.042428265116285849, 0.029041555909400479, 0.025419357466391818, 0.024062928993404453, 0.023424838531461645, 0.023077266233193013, 0.022868020770760517, 0.022732623440602687, 0.022640114063840939, 0.022574169260058785, 0.022525536383483844, 0.022488659251424348, 0.022460040716649754, 0.02243739189660619, 0.022419164477186782, 0.0224042811278789, 0.022391973707807707, 0.02238168272280679, 0.022372992920561441, 0.022365590919188223, 0.022359236664410295, 0.022353743792061415, 0.022348965858981402, 0.022344786521983438, 0.022341112423218821, 0.022337867962664675, 0.022334991407113137, 0.022332431959310926, 0.022330147526002458, 0.022328103000928846, 0.022326268931545143, 0.022324620474675715, 0.022323136571876435, 0.022321799293397882, 0.022320593312650919, 0.022319505482509987, 0.022318524491701956, 0.022317640584640509, 0.022316845331881996, 0.022316131441250182, 0.022315492601857001, 0.022314923354912961, 0.022314418986505723, 0.02231397543852293, 0.022313589234676107, 0.022313257419198141, 0.022312977506277028, 0.022312747438681928, 0.022312565554357122, 0.022312430560022609, 0.022312341511039707, 0.022312297796987735, 0.022312299132561966, 0.02231234555355054, 0.022312437417785998, 0.022312575411100766, 0.022312760558450658, 0.022312994240512477, 0.022313278216216422, 0.022313614651848172, 0.022314006157557756, 0.02231445583235081, 0.022314967318926279, 0.022315544870076687, 0.022316193428803185, 0.022316918724841962, 0.022317727390985205, 0.022318627103451342, 0.022319626751674041, 0.022320736644314141, 0.022321968760157941, 0.022323337054988294, 0.022324857838693937, 0.022326550241074983, 0.022328436790366373, 0.022330544135920387, 0.022332903956431036, 0.022335554108452307, 0.022338540087979569, 0.022341916902136275, 0.022345751480574775, 0.022350125799421781, 0.022355140946699107, 0.022360922427744956, 0.02236762708746811, 0.022375452093629369, 0.022384646424516947, 0.022395525086731618, 0.022408485488632578, 0.022424023141361979, 0.022442738138850383, 0.022465310233421205, 0.022492389836636751, 0.022524290968245181, 0.022560276316865191, 0.022597184635121621, 0.022627591950543712, 0.022639450835044098, 0.022621266568991511, 0.022572452952114158, 0.02250679122871943, 0.022442021667839179, 0.022388985871786907, 0.022350515408974026, 0.022325339202334329, 0.022311297852385861, 0.022306803463194302, 0.022309038767482865, 0.022315884056880366, 0.022327749276662458, 0.022345278970388526, 0.022369251257918013, 0.022400343793815898, 0.022438679362901622, 0.022483114331126805, 0.022530458228814977, 0.022575229006970225, 0.022610752351952302, 0.022631633910390775, 0.022636083571556952, 0.022626257351430815, 0.022606590746634798, 0.022581716454521679, 0.022555227871667943, 0.022529404834146918, 0.022505453508064061, 0.022483866512361141, 0.022464723077088324, 0.022447890827453128, 0.022433146063980683, 0.022420239478975777, 0.022408929093182903, 0.022398994818585437, 0.022390243292038942, 0.022382507875754548, 0.022375646483257409, 0.022369538618122457, 0.022364082313822479, 0.022359191289147328, 0.022354792439597457, 0.022350823688581635, 0.022347232177504447, 0.022343972755983866, 0.022341006729046313, 0.022338300820069022, 0.022335826312764456, 0.022333558340756524, 0.022331475298397616, 0.022329558351043936, 0.022327791026925212, 0.022326158876026007, 0.022324649184100091, 0.02232325073214805, 0.022321953593482154, 0.02232074896195552, 0.022319629006107483, 0.022318586744927742, 0.022317615941711166, 0.022316711013098706, 0.022315866950907121, 0.022315079254762046, 0.022314343873886384, 0.022313657156671052, 0.022313015806881636, 0.022312416845540542, 0.02231185757767792, 0.022311335563272021, 0.022310848591805137, 0.022310394659949558, 0.022309971951971264, 0.022309578822501012, 0.022309213781374074, 0.022308875480283697, 0.022308562701030495, 0.022308274345181112, 0.022308009424976464, 0.02230776705535293, 0.022307546446959016, 0.022307346900067731, 0.02230716779929906, 0.022307008609080105, 0.02230686886978174, 0.022306748194480652, 0.022306646266304585, 0.022306562836326836, 0.022306497721983429, 0.022306450805993239, 0.022306422035768252, 0.022306411423306721, 0.022306419045569008, 0.02230644504534136, 0.02230648963259951, 0.022306553086390058, 0.022306635757255288, 0.022306738070233131, 0.022306860528473287, 0.02230700371751836, 0.02230716831030927, 0.022307355072984879, 0.022307564871558747, 0.022307798679569852, 0.022308057586821105, 0.022308342809338265, 0.022308655700704529, 0.022308997764951766, 0.022309370671220231, 0.02230977627043447, 0.022310216614285703, 0.022310693976861574, 0.022311210879324406, 0.022311770118110821, 0.022312374797212146, 0.022313028365198686, 0.022313734657776366, 0.02231449794681693, 0.022315322996987227, 0.02231621513133053, 0.022317180307430164, 0.022318225206128472, 0.022319357335198575, 0.022320585150893725, 0.022321918200959322, 0.022323367293520795, 0.022324944697307961, 0.022326664380006161, 0.022328542293222727, 0.022330596714741385, 0.022332848661561648, 0.022335322390899453, 0.022338046011151757, 0.022341052231206374, 0.022344379284977886, 0.02234807207946805, 0.022352183630130772, 0.022356776868507601, 0.022374277649356733, 0.02239996792085127, 0.022439643508958593, 0.022505224942360066, 0.022624448732532818, 0.02287440481804788, 0.023539001857763361, 0.026391279288318099, 0.068705199923442331, 0.031287720985739453, 0.024341750042697553, 0.023180203679452446, 0.022792255649807597, 0.022616580649403736, 0.022522126239631179, 0.022465412056223998, 0.02242863891612653, 0.02240341615215375, 0.022385365466001183, 0.022372021109851925, 0.022361910785147997, 0.022354115516482136, 0.022348043747258212, 0.022343309352186373, 0.022339664019482383, 0.022336960720186507, 0.022335137632435914, 0.02233421928858324, 0.022334338174851195, 0.022335789602517541, 0.022339153258583662, 0.02234556861421795, 0.022357413671113224, 0.022380211556309031, 0.022429110110628279, 0.022558432423227904, 0.023090724158278984, 0.031840273785809246, 0.025124239679958738, 0.02283885502241206, 0.022526418284612614, 0.022427193332089378, 0.022382890902197104, 0.022358995166455054, 0.022344430679018739, 0.022334750270326109, 0.022327882241311985, 0.022322753173455553, 0.022318760450143488, 0.0223155438636638, 0.022312876971109591, 0.022310611407416692, 0.022308646551602862, 0.022306912145218693, 0.022305357896441037, 0.022303947029267294, 0.022302652150677255, 0.022301452527485822, 0.02230033224688183, 0.022299278946004926, 0.02229828291685575, 0.022297336464186357, 0.022296433437279217, 0.022295568883407221, 0.022294738787849412, 0.022293939876415016, 0.02229316946374563, 0.022292425335582518, 0.022291705656542083, 0.022291008897266477, 0.022290333776447936, 0.022289679214384732, 0.022289044295560497, 0.022288428238345218, 0.022287830370361281, 0.022287250108389094, 0.022286686941933812, 0.022286140419762408, 0.022285610138862665, 0.022285095735385892, 0.022284596877219856, 0.022284113257905649, 0.022283644591664185, 0.022283190609340562, 0.022282751055107363, 0.022282325683795824, 0.022281914258745601, 0.022281516550082144, 0.022281132333346065, 0.022280761388411171, 0.022280403498638912, 0.022280058450225477, 0.022279726031705947, 0.022279406033586024, 0.022279098248077625, 0.022278802468919313, 0.022278518491266747, 0.022278246111641548, 0.022277985127930021, 0.022277735339425717, 0.022277496546911524, 0.022277268552778742, 0.022277051161181921, 0.022276844178228977, 0.022276647412206637, 0.022276460673841859, 0.022276283776599678, 0.022276116537017856, 0.022275958775078503, 0.022275810314615927, 0.022275670983759759, 0.022275540615411347, 0.022275419047750513, 0.022275306124769089, 0.022275201696826598, 0.022275105621222445, 0.022275017762778467, 0.022274937994424759, 0.022274866197780997, 0.022274802263725305, 0.02227474609294227, 0.022274697596441597, 0.022274656696039178, 0.022274623324792478, 0.022274597427383035, 0.022274578960439106, 0.022274567892792939, 0.022274564205668063, 0.02227456666364026, 0.022274574040407065, 0.022274586344507505, 0.02227460359013448, 0.022274625797076654, 0.02227465299063737, 0.022274685201530694, 0.022274722465754959, 0.022274764824443981, 0.022274812323696238, 0.022274865014382274, 0.022274922951930506, 0.022274986196091612, 0.022275054810681517, 0.022275128863302792, 0.022275208425044574, 0.022275293570160153, 0.022275384375722084, 0.02227548092125381, 0.022275583288336918, 0.022275691560192622, 0.022275805821236321, 0.022275926156603228, 0.022276052651643296, 0.02227618539138319, 0.022276324459953194, 0.022276469939975941, 0.022276621911915075, 0.02227678045338018, 0.022276945638385955, 0.022277117536562016, 0.022277296212311185, 0.022277481723913268, 0.02227767412257203, 0.022277873451403526, 0.022278079744363945, 0.022278293025116247, 0.022278513305835204, 0.022278740585951501, 0.022278974850836478, 0.022279216070430385, 0.022279464197818129, 0.022279719167758172, 0.022279980895171712, 0.022280249273601279, 0.022280524173649334, 0.0222808054414101, 0.022281092896909261, 0.022281386332568844, 0.022281685511716443, 0.02228199016716001, 0.02228229999985162, 0.022282614677665215, 0.022282933834315094, 0.022283257068442894, 0.022283583942902228, 0.022283913984270026, 0.022284246682613983, 0.022284581491545035, 0.022284917828582367, 0.022285255075856967, 0.0222855925811778, 0.022285929659481361, 0.022286265594682671, 0.022286599641941972, 0.022286931030357397, 0.022287258966089789, 0.022287582635921285, 0.022287901211244979, 0.022288213852477909, 0.022288519713884902, 0.022288817948795538, 0.022289107715190801, 0.022289388181629857, 0.022289658533480611, 0.022289917979409664, 0.022290165758078937, 0.022290401144986451, 0.022290623459378638, 0.022290832071150232, 0.022291026407637707, 0.022291205960201232, 0.022291370290481779, 0.022291519036213233, 0.022291651916465573, 0.022291768736195896, 0.022291869389988461, 0.022291953864874973, 0.022292022242140979, 0.022292074698043694, 0.02229211150339069, 0.022292133021955728, 0.022292139707737309, 0.022292132101095673, 0.022292110823833384, 0.022292076573311687, 0.022292030115719213, 0.022291972278628804, 0.022291903942992918, 0.022291826034736395, 0.022291739516108799, 0.022291645376955702, 0.022291544626060446, 0.022291438282696273, 0.022291327368512803, 0.022291212899862703, 0.022291095880654612, 0.022290977295797938, 0.022290858105284379, 0.022290739238931895, 0.022290621591798159, 0.022290506020254734, 0.022290393338698498, 0.022290284316865579, 0.022290179677702974, 0.022290080095746553, 0.022289986195948547, 0.022289898552895229, 0.022289817690354256, 0.022289744081091495, 0.022289678146899392, 0.022289620258781589, 0.022289570737243053, 0.022289529852638705, 0.02228949782554019, 0.022289474827084849, 0.02228946097927793, 0.022289456355224987], [0.022486403485211214, 0.0224864078834494, 0.02248642108078092, 0.02248644308505917, 0.022486473909382014, 0.022486513572106542, 0.022486562096872616, 0.022486619512637984, 0.022486685853728473, 0.022486761159907442, 0.022486845476469255, 0.022486938854361892, 0.022487041350344454, 0.022487153027185468, 0.022487273953907937, 0.022487404206087813, 0.02248754386621173, 0.022487693024100665, 0.022487851777405317, 0.02248802023217928, 0.022488198503535794, 0.022488386716393, 0.022488585006313191, 0.022488793520440239, 0.022489012418539445, 0.022489241874143497, 0.022489482075807584, 0.022489733228476361, 0.022489995554964573, 0.022490269297552885, 0.022490554719699272, 0.022490852107865826, 0.022491161773459653, 0.022491484054885366, 0.022491819319705293, 0.022492167966901649, 0.022492530429232896, 0.022492907175673808, 0.022493298713925497, 0.022493705592977788, 0.022494128405701364, 0.022494567791441416, 0.022495024438577309, 0.022495499087004316, 0.022495992530483594, 0.022496505618794221, 0.022497039259607599, 0.022497594419988016, 0.022498172127404514, 0.022498773470118333, 0.022499399596786197, 0.022500051715093984, 0.022500731089207263, 0.022501439035796104, 0.022502176918362045, 0.02250294613956761, 0.022503748131244412, 0.022504584341739558, 0.022505456220254107, 0.022506365197838812, 0.02250731266474687, 0.022508299943909665, 0.022509328260408065, 0.022510398706969172, 0.022511512205736463, 0.022512669466848857, 0.022513870944728294, 0.02251511679341639, 0.022516406822813435, 0.022517740458238712, 0.022519116706319273, 0.022520534130775864, 0.02252199084214419, 0.022523484505764777, 0.022525012372405916, 0.022526571335560474, 0.022528158018709034, 0.022529768894634795, 0.022531400437236081, 0.022533049304309567, 0.022534712547655357, 0.022536387844835769, 0.022538073745305087, 0.022539769922717081, 0.0225414774252648, 0.022543198917064144, 0.022544938905882571, 0.022546703955822457, 0.022548502887672045, 0.022550346974260005, 0.022552250143035919, 0.02255422920308793, 0.022556304118907435, 0.022558498358640815, 0.022560839350814071, 0.022563359091364921, 0.022566094953420802, 0.022569090767267593, 0.022572398259711895, 0.022576078973997965, 0.022580206838791542, 0.022584871625544664, 0.022590183640624529, 0.022596280162795072, 0.022603334392739642, 0.022611568088516762, 0.022621269722485203, 0.022632821096314579, 0.022646737231645769, 0.02266372765977509, 0.022684793224425542, 0.022711383726169408, 0.022745663442343654, 0.022790974916944963, 0.022852680083113652, 0.022939738445698181, 0.023067715994137726, 0.023264228544777173, 0.023575481067489249, 0.024048184307516523, 0.024549138009327315, 0.024471540825383421, 0.023758588463702303, 0.023154617259609281, 0.022823368118394659, 0.022655246740392977, 0.022570189175811727, 0.022529850064594358, 0.022517906470412834, 0.022519585550932725, 0.022524868278624679, 0.022534550591611583, 0.022550175248187282, 0.022574419574314414, 0.02261175132550268, 0.022669327442656723, 0.02275739274799345, 0.022885565161518736, 0.023045418641690633, 0.023179895097603896, 0.023207408643112541, 0.023126106117964045, 0.02300633131024275, 0.0228979705720899, 0.022814025695989677, 0.022751896866035431, 0.022706064314935756, 0.022671818606894753, 0.022645764435978807, 0.022625564437246181, 0.022609619367610738, 0.02259682469986285, 0.022586405712844895, 0.022577809452363436, 0.022570634241986687, 0.022564583316209749, 0.022559433907267064, 0.02255501631108154, 0.022551199480039377, 0.022547880948339285, 0.022544979678162526, 0.022542430905440818, 0.022540182375128098, 0.022538191555909533, 0.022536423554717251, 0.022534849537702024, 0.022533445522185634, 0.02253219144346973, 0.022531070427483028, 0.022530068219153064, 0.022529172729729069, 0.022528373675803893, 0.022527662289650412, 0.022527031085493119, 0.022526473670018216, 0.022525984588161845, 0.022525559197266579, 0.022525193564247852, 0.022524884381595976, 0.022524628898951439, 0.022524424867701079, 0.022524270496600676, 0.022524164416874458, 0.02252410565560159, 0.022524093616495863, 0.022524128067435204, 0.022524209134313983, 0.022524337300986467, 0.022524513415252023, 0.022524738701010835, 0.022525014776901667, 0.022525343681927816, 0.022525727908793539, 0.022526170445921524, 0.022526674829414034, 0.022527245206571518, 0.022527886413013228, 0.022528604065977346, 0.022529404677048195, 0.022530295788406363, 0.022531286137782141, 0.022532385858690728, 0.022533606724343892, 0.022534962446011466, 0.022536469039746369, 0.022538145279567632, 0.022540013260809583, 0.022542099104953531, 0.022544433847666995, 0.022547054566163953, 0.022550005822104469, 0.022553341524673833, 0.02255712735916102, 0.022561443985364599, 0.022566391296987173, 0.022572094162961007, 0.022578710268917564, 0.022586440982422115, 0.022595546647999169, 0.022606368496905744, 0.022619360645237188, 0.022635137843906836, 0.022654548479034951, 0.022678789266772199, 0.02270959115286493, 0.022749531596837874, 0.022802581428080886, 0.022875110457909662, 0.022977847831494563, 0.023129984294382365, 0.02336854571765391, 0.023772347166869164, 0.024532884981867186, 0.026210184913903839, 0.030935037406438454, 0.048713205288099332, 0.05977294382865285, 0.034635444214639578, 0.02745241871541737, 0.025120349190228972, 0.024120941986432186, 0.023608222985380518, 0.023311984183739545, 0.02312603661687828, 0.023002071745050597, 0.022915624327685968, 0.022853252470823128, 0.022807085756936862, 0.022772277050225435, 0.022745718197364356, 0.022725351819552871, 0.022709783518704368, 0.022698054248139952, 0.022689502401479891, 0.022683678526080598, 0.022680292403083994, 0.02267918119328061, 0.022680292403084001, 0.022683678526080556, 0.022689502401479902, 0.022698054248139966, 0.022709783518704372, 0.022725351819552802, 0.022745718197364376, 0.022772277050225463, 0.022807085756936948, 0.022853252470823218, 0.022915624327685805, 0.023002071745050586, 0.0231260366168781, 0.023311984183739438, 0.023608222985380175, 0.024120941986432477, 0.02512034919022807, 0.027452418715415362, 0.034635444214646434, 0.059772943828662696, 0.048713205288087036, 0.030935037406434131, 0.026210184913902923, 0.024532884981867547, 0.023772347166868834, 0.023368545717653774, 0.02312998429438223, 0.02297784783149456, 0.022875110457909673, 0.022802581428080879, 0.022749531596837864, 0.022709591152864937, 0.022678789266772196, 0.022654548479034958, 0.022635137843906836, 0.022619360645237199, 0.02260636849690574, 0.022595546647999166, 0.022586440982422122, 0.022578710268917567, 0.022572094162961021, 0.022566391296987176, 0.022561443985364596, 0.022557127359161013, 0.022553341524673837, 0.022550005822104473, 0.022547054566163953, 0.022544433847667002, 0.022542099104953528, 0.022540013260809583, 0.022538145279567632, 0.022536469039746376, 0.022534962446011463, 0.022533606724343892, 0.022532385858690725, 0.022531286137782144, 0.02253029578840636, 0.022529404677048195, 0.022528604065977346, 0.022527886413013232, 0.022527245206571518, 0.022526674829414027, 0.02252617044592152, 0.022525727908793546, 0.022525343681927823, 0.022525014776901671, 0.022524738701010835, 0.022524513415252023, 0.02252433730098647, 0.02252420913431398, 0.022524128067435204, 0.022524093616495863, 0.022524105655601583, 0.022524164416874461, 0.022524270496600676, 0.022524424867701079, 0.022524628898951439, 0.022524884381595979, 0.022525193564247856, 0.022525559197266582, 0.022525984588161845, 0.022526473670018209, 0.022527031085493116, 0.022527662289650408, 0.022528373675803886, 0.022529172729729069, 0.022530068219153061, 0.022531070427483035, 0.022532191443469733, 0.022533445522185634, 0.022534849537702017, 0.022536423554717251, 0.022538191555909529, 0.022540182375128094, 0.022542430905440815, 0.022544979678162526, 0.022547880948339268, 0.022551199480039388, 0.022555016311081519, 0.02255943390726706, 0.022564583316209742, 0.022570634241986666, 0.022577809452363398, 0.022586405712844874, 0.022596824699862871, 0.022609619367610752, 0.022625564437246289, 0.022645764435978794, 0.022671818606894937, 0.022706064314935989, 0.02275189686603574, 0.022814025695989594, 0.022897970572090354, 0.023006331310243107, 0.023126106117964184, 0.023207408643112697, 0.02317989509760391, 0.02304541864169032, 0.022885565161519413, 0.022757392747993179, 0.022669327442656807, 0.022611751325502621, 0.022574419574314341, 0.022550175248187306, 0.022534550591611583, 0.022524868278624682, 0.022519585550932725, 0.022517906470412834, 0.022518740991864808, 0.022521304214509815, 0.022525782176097214, 0.022532509554214614, 0.022542010421478933, 0.022555063127593953, 0.022572796794140454, 0.022596825752264838, 0.022629415991119436, 0.022673631578675586, 0.022733273507557553, 0.02281209666744663, 0.022911239621110201, 0.023023748150959571, 0.023128350659436282, 0.023192865967987249, 0.023195478465217311, 0.023143403611355036, 0.023063102404165023, 0.022978559746245335, 0.022902449440664951, 0.022838668516069062, 0.022786837102411108, 0.022745130207634599, 0.022711543754773366, 0.022684331482656948, 0.022662094535026437, 0.022643750292276069, 0.022628471362573826, 0.022615626548417159, 0.022604732493341214, 0.022595416562113824, 0.022587389123691556, 0.022580423075026709, 0.022574338743005764, 0.022568992719936419, 0.022564269561941273, 0.022560075572758454, 0.022556334112827314, 0.022552982030645125, 0.02254996692566796, 0.022547245032009069, 0.022544779569216605, 0.022542539447228407, 0.022540498241971848, 0.022538633379341706, 0.022536925480792745, 0.022535357835167729, 0.02253391596979909, 0.022532587300193998, 0.022531360842315769, 0.02253022697502835, 0.022529177242972445, 0.022528204192210334, 0.022527301232570334, 0.022526462521856441, 0.022525682868052104, 0.022524957646402114, 0.022524282728852096, 0.02252365442379705, 0.022523069424466642, 0.022522524764575939, 0.022522017780112754, 0.022521546076328412, 0.022521107499158123, 0.022520700110426492, 0.02252032216630025, 0.022519972098537507, 0.022519648498155027, 0.022519350101195039, 0.022519075776322856, 0.022518824514028354, 0.022518595417239544, 0.022518387693186034, 0.022518200646375251, 0.022518033672566221, 0.022517886253643531, 0.022517757953310884, 0.022517648413537015, 0.022517557351699573, 0.022517484558383503, 0.022517429895800127, 0.02251739329680329, 0.022517374764486349, 0.022517374372353138, 0.022517392265063458, 0.022517428659761928, 0.022517483848007284, 0.022517558198327226, 0.022517652159433868, 0.0225177662641434, 0.022517901134055079, 0.022518057485056111, 0.022518236133732147, 0.022518438004778332, 0.022518664139522814, 0.022518915705694649, 0.022519194008590693, 0.022519500503822919, 0.022519836811859106, 0.022520204734606225, 0.022520606274330061, 0.022521043655255653, 0.022521519348255095, 0.02252203609910269, 0.022522596960865848, 0.022523205331106251, 0.022523864994694696, 0.02252458017319894, 0.022525355581993898, 0.02252619649647657, 0.022527108829053313, 0.022528099218920385, 0.022529175137095139, 0.022530345009700154, 0.022531618363183258, 0.022533005996013621, 0.022534520182477424, 0.022536174915574299, 0.022537986197778685, 0.022539972390698267, 0.02254215463760079, 0.022544557376613147, 0.022547208967432585, 0.0225501424610558, 0.022553396550926717, 0.022557016755876638, 0.022561056901488831, 0.022576402795694814, 0.022598777440870535, 0.022632966192386857, 0.022688559731802321, 0.022787071024734595, 0.022985080937147909, 0.023472560947187061, 0.025231501062205831, 0.041996992577230843, 0.040614006241435116, 0.025388858369545814, 0.023622653564677232, 0.023104216607496418, 0.022883808962708453, 0.022769577742639952, 0.022702589552470703, 0.022659852548771665, 0.022630878760393873, 0.022610324164910996, 0.022595232545185154, 0.022583863038881723, 0.022575140890902949, 0.022568380371968396, 0.022563137192347437, 0.022559127567730035, 0.022556184846985995, 0.022554240546320235, 0.022553325779688483, 0.022553596967470148, 0.022555401478745706, 0.022559424557818453, 0.022567027438127014, 0.022581099123110765, 0.022608525194166774, 0.022668983205980098, 0.022838356517180417, 0.023646779758623931, 0.044771462217278568, 0.024282006001371623, 0.022945511390549508, 0.022709006452455268, 0.022627164997297836, 0.02258904667459501, 0.02256796588117152, 0.022554902131284832, 0.022546114501395372, 0.022539821800640014, 0.022535086598677527, 0.022531376468041049, 0.022528370303941704, 0.022525864822414886, 0.022523726075889188, 0.022521862796359704, 0.022520211004867053, 0.022518724748892535, 0.022517370324872821, 0.022516122560556205, 0.022514962356363469, 0.022513875019361255, 0.022512849109509618, 0.022511875624877633, 0.02251094741595918, 0.022510058757841182, 0.022509205033062224, 0.022508382493352325, 0.022507588078428994, 0.022506819276636225, 0.022506074016665961, 0.022505350582646955, 0.022504647546998727, 0.022503963716933868, 0.022503298091549273, 0.022502649827208378, 0.022502018209470755, 0.022501402630233147, 0.022500802569048756, 0.022500217577818539, 0.02249964726821994, 0.022499091301369338, 0.02249854937931519, 0.022498021238037031, 0.0224975066416865, 0.022497005377854686, 0.022496517253688644, 0.022496042092710153, 0.022495579732215252, 0.022495130021152807, 0.022494692818397326, 0.022494267991345008, 0.022493855414773514, 0.02249345496991571, 0.022493066543705899, 0.022492690028164106, 0.0224923253198899, 0.022491972319642631, 0.022491630931989203, 0.022491301065004372, 0.022490982630012167, 0.022490675541359348, 0.022490379716214651, 0.022490095074389458, 0.022489821538177038, 0.022489559032209203, 0.022489307483329973, 0.022489066820486889, 0.022488836974640866, 0.022488617878696233, 0.022488409467452394, 0.022488211677578477, 0.02248802444761239, 0.022487847717985024, 0.022487681431070095, 0.022487525531259402, 0.022487379965062688, 0.022487244681230607, 0.022487119630898725, 0.022487004767749567, 0.022486900048189536, 0.022486805431536437, 0.022486720880213522, 0.022486646359945052, 0.022486581839948748, 0.022486527293119948, 0.022486482696202847, 0.022486448029944102, 0.022486423279224725, 0.022486408433166682, 0.022486403485211214, 0.02248640678379377, 0.022486416680350306, 0.022486433177301771, 0.022486456278664822, 0.022486485990024258, 0.022486522318494288, 0.022486565272668617, 0.022486614862558953, 0.02248667109952188, 0.02248673399617352, 0.022486803566291763, 0.022486879824705458, 0.02248696278716979, 0.022487052470227198, 0.022487148891052765, 0.022487252067283026, 0.022487362016826704, 0.022487478757656158, 0.022487602307577601, 0.022487732683978263, 0.022487869903548369, 0.022488013981975623, 0.022488164933609823, 0.02248832277109461, 0.022488487504963895, 0.022488659143199804, 0.022488837690749067, 0.022489023148994907, 0.022489215515181172, 0.022489414781785903, 0.02248962093584117, 0.022489833958196766, 0.02249005382272521, 0.022490280495466239, 0.02249051393370918, 0.022490754085012554, 0.022491000886160767, 0.022491254262058759, 0.022491514124566601, 0.022491780371277109, 0.022492052884240842, 0.022492331528644851, 0.02249261615145242, 0.022492906580013516, 0.022493202620657411, 0.022493504057280789, 0.022493810649947016, 0.02249412213351442, 0.022494438216313247, 0.022494758578893524, 0.022495082872867788, 0.022495410719874338, 0.022495741710688296, 0.022496075404509198, 0.022496411328453834, 0.022496748977284202, 0.022497087813399319, 0.022497427267119084, 0.022497766737286633, 0.022498105592213026, 0.022498443170985406, 0.022498778785155681, 0.022499111720822723, 0.022499441241116101, 0.022499766589084227, 0.022500086990984405, 0.022500401659966654, 0.022500709800137762, 0.022501010610986888, 0.022501303292148604, 0.022501587048475095, 0.02250186109538423, 0.02250212466444642, 0.022502377009168666, 0.02250261741093041, 0.022502845185020659, 0.022503059686721553, 0.022503260317377736, 0.022503446530385159, 0.022503617837026285, 0.022503773812072896, 0.022503914099070675, 0.022504038415215345, 0.02250414655572602, 0.022504238397620085, 0.022504313902795687, 0.022504373120332492, 0.022504416187931059, 0.022504443332423432, 0.022504454869304892, 0.022504451201257322, 0.022504432815657033, 0.022504400281085506, 0.022504354242886149, 0.022504295417835243, 0.02250422458801786, 0.022504142594019245, 0.022504050327558204, 0.022503948723700019, 0.022503838752792868, 0.022503721412272897, 0.022503597718479429, 0.02250346869861369, 0.022503335382962678, 0.022503198797494874, 0.022503059956917378, 0.022502919858265899, 0.022502779475080059, 0.022502639752197899, 0.022502501601185759, 0.022502365896403611, 0.022502233471691089, 0.022502105117647286, 0.02250198157946668, 0.022501863555285991, 0.022501751694990104, 0.022501646599421658, 0.022501548819936556, 0.022501458858247211, 0.022501377166496153, 0.022501304147504862, 0.022501240155145673, 0.022501185494788786, 0.02250114042378067, 0.022501105151915526, 0.02250107984186675, 0.022501064609551001, 0.022501059524403826], [0.022694845226490477, 0.022694850806375556, 0.022694867546534953, 0.022694895448493405, 0.022694934514833141, 0.022694984749256516, 0.022695046156676127, 0.022695118743334474, 0.022695202516956073, 0.022695297486935419, 0.022695403664564361, 0.022695521063303307, 0.022695649699100366, 0.02269578959076337, 0.022695940760389263, 0.022696103233855916, 0.022696277041380927, 0.022696462218152316, 0.022696658805035446, 0.022696866849360495, 0.022697086405794702, 0.022697317537302721, 0.022697560316198757, 0.02269781482529314, 0.022698081159136081, 0.022698359425360515, 0.022698649746125552, 0.022698952259661759, 0.022699267121918536, 0.022699594508313506, 0.022699934615582947, 0.022700287663731524, 0.022700653898078575, 0.022701033591396889, 0.022701427046138714, 0.022701834596741636, 0.022702256612005006, 0.022702693497524983, 0.022703145698172764, 0.022703613700596738, 0.022704098035724683, 0.022704599281235721, 0.022705118063965597, 0.022705655062199577, 0.022706211007798238, 0.022706786688089387, 0.022707382947445884, 0.022708000688454032, 0.022708640872559069, 0.022709304520055113, 0.022709992709264389, 0.022710706574727662, 0.022711447304202163, 0.022712216134238419, 0.022713014344082232, 0.022713843247626282, 0.022714704183118183, 0.022715598500323207, 0.022716527544842966, 0.022717492639312727, 0.022718495061245118, 0.022719536017365011, 0.022720616614397355, 0.022721737826435755, 0.022722900459243564, 0.022724105112127677, 0.022725352138384437, 0.02272664160574301, 0.022727973258720294, 0.022729346485329285, 0.022730760291122001, 0.02273221328404806, 0.022733703674011368, 0.022735229291231594, 0.022736787627486287, 0.022738375903943338, 0.022739991168536738, 0.022741630424671866, 0.022743290791506859, 0.022744969694253086, 0.022746665081053136, 0.022748375661276465, 0.022750101158807743, 0.022751842573374967, 0.022753602443410126, 0.022755385105499223, 0.022757196948190391, 0.022759046661703908, 0.022760945489758714, 0.022762907495110726, 0.022764949856358525, 0.022767093220129663, 0.022769362140164465, 0.022771785643631373, 0.022774397976222546, 0.022777239592729804, 0.022780358481200313, 0.022783811939889202, 0.022787668972339088, 0.022792013535251506, 0.022796948979522429, 0.022802604188459797, 0.022809142175058372, 0.022816772314856373, 0.022825768073261598, 0.022836493238674288, 0.022849441676304143, 0.022865299215148495, 0.022885042976915182, 0.022910106429936371, 0.022942664737723346, 0.02298615093061121, 0.023046239128675622, 0.023132829439137324, 0.023264311607284718, 0.023477236828343302, 0.02384818357744177, 0.024527194374659743, 0.025590602294920013, 0.025924684181131349, 0.024682875673843713, 0.023670859062157518, 0.023186676397825949, 0.022958516613802139, 0.022843141859103612, 0.022781297282735272, 0.022747626046685319, 0.022730712792108573, 0.022725549898259544, 0.022726298325452837, 0.02272862308164058, 0.022732778287942242, 0.022739244786974235, 0.022748835789666057, 0.022762893472622135, 0.022783652056395202, 0.022814917154231843, 0.022863345150476003, 0.022940758691973737, 0.023067481219595919, 0.023271659165179311, 0.023556293214378177, 0.023792808561082603, 0.023766422289235683, 0.023540206615132109, 0.02331210753200736, 0.02314737507664277, 0.023037072981515097, 0.022962882813291379, 0.022911579963149884, 0.022874948121042571, 0.022847984975326214, 0.022827594341447072, 0.022811806580847596, 0.022799331175547197, 0.022789298187866212, 0.022781105593462882, 0.022774326729990031, 0.02276865265905267, 0.02276385532929695, 0.022759763455710263, 0.022756246367307241, 0.022753202965574031, 0.022750554032568638, 0.022748236778861834, 0.022746200917196348, 0.022744405793352043, 0.022742818261251289, 0.022741411089718697, 0.022740161754233188, 0.022739051511021832, 0.022738064680678925, 0.022737188089009718, 0.022736410627095409, 0.02273572290266649, 0.022735116962077556, 0.022734586067380682, 0.022734124516793179, 0.022733727499657255, 0.022733390979075948, 0.02273311159697983, 0.022732886597572444, 0.022732713766019361, 0.022732591379958464, 0.022732518171971056, 0.022732493301603266, 0.022732516335895441, 0.022732587237685661, 0.022732706361220538, 0.022732874454846622, 0.022733092670781292, 0.022733362582183822, 0.022733686207977472, 0.022734066046120834, 0.022734505116306276, 0.022735007013386085, 0.022735575973213754, 0.022736216953056155, 0.0227369357293132, 0.022737739016007921, 0.022738634608430518, 0.022739631557497256, 0.022740740381903247, 0.022741973327124316, 0.022743344682913925, 0.022744871174368908, 0.022746572446208511, 0.02274847166606276, 0.022750596280919844, 0.022752978972338501, 0.022755658871905327, 0.022758683120654485, 0.022762108887688582, 0.022766006008483445, 0.022770460469186182, 0.022775579060392022, 0.022781495669620701, 0.022788379904038984, 0.022796449080522627, 0.022805985168252219, 0.02281735915809207, 0.022831066811117427, 0.022847782264308863, 0.022868440420809644, 0.022894367163934722, 0.022927491808069363, 0.022970706656257153, 0.023028502028660771, 0.023108145603818811, 0.023222008316363774, 0.023392499841022679, 0.023663539875922495, 0.024130505530442381, 0.025031310153578918, 0.027086571102952418, 0.033146077663977772, 0.055038603923258982, 0.054640259863550603, 0.033372259813962434, 0.02737339808659893, 0.025283254622991913, 0.024346859352215026, 0.023852539184758798, 0.023561262782894318, 0.023375833101726501, 0.023250939612494408, 0.023163212335332046, 0.023099629299107423, 0.023052482458562951, 0.023016985753505276, 0.022990053620260006, 0.022969639616380912, 0.022954360918149078, 0.022943277059301551, 0.02293575620804934, 0.02293139371113926, 0.022929963746048651, 0.022931393711139253, 0.022935756208049295, 0.022943277059301583, 0.022954360918149078, 0.022969639616380915, 0.022990053620259916, 0.0230169857535053, 0.023052482458562982, 0.023099629299107548, 0.023163212335332167, 0.023250939612494175, 0.023375833101726504, 0.023561262782894044, 0.023852539184758589, 0.024346859352214385, 0.025283254622992475, 0.027373398086596806, 0.033372259813957424, 0.054640259863567846, 0.055038603923247373, 0.033146077663973365, 0.027086571102950888, 0.025031310153578484, 0.024130505530442607, 0.023663539875922276, 0.023392499841022579, 0.023222008316363677, 0.023108145603818801, 0.023028502028660768, 0.022970706656257146, 0.022927491808069363, 0.022894367163934722, 0.022868440420809641, 0.022847782264308863, 0.022831066811117431, 0.022817359158092087, 0.022805985168252215, 0.02279644908052263, 0.022788379904038984, 0.022781495669620708, 0.022775579060392036, 0.022770460469186182, 0.022766006008483448, 0.022762108887688582, 0.022758683120654488, 0.022755658871905334, 0.022752978972338505, 0.022750596280919848, 0.022748471666062763, 0.022746572446208511, 0.022744871174368905, 0.022743344682913922, 0.022741973327124309, 0.022740740381903251, 0.022739631557497246, 0.022738634608430518, 0.022737739016007917, 0.022736935729313203, 0.022736216953056155, 0.02273557597321375, 0.022735007013386085, 0.022734505116306272, 0.022734066046120834, 0.022733686207977465, 0.022733362582183829, 0.022733092670781285, 0.022732874454846633, 0.022732706361220531, 0.022732587237685661, 0.022732516335895441, 0.022732493301603266, 0.022732518171971045, 0.02273259137995846, 0.022732713766019357, 0.022732886597572447, 0.02273311159697983, 0.022733390979075951, 0.022733727499657262, 0.022734124516793172, 0.022734586067380682, 0.022735116962077556, 0.022735722902666483, 0.022736410627095409, 0.022737188089009718, 0.022738064680678918, 0.022739051511021836, 0.022740161754233195, 0.022741411089718701, 0.022742818261251289, 0.022744405793352043, 0.022746200917196348, 0.022748236778861817, 0.022750554032568631, 0.022753202965574027, 0.022756246367307248, 0.022759763455710263, 0.02276385532929693, 0.022768652659052681, 0.02277432672999001, 0.022781105593462869, 0.022789298187866212, 0.022799331175547163, 0.022811806580847537, 0.022827594341447034, 0.022847984975326259, 0.022874948121042606, 0.022911579963150103, 0.022962882813291358, 0.023037072981515614, 0.023147375076643485, 0.023312107532008464, 0.023540206615131849, 0.023766422289236623, 0.023792808561082665, 0.023556293214378084, 0.023271659165179138, 0.023067481219595891, 0.022940758691973435, 0.022863345150476291, 0.02281491715423176, 0.022783652056395223, 0.022762893472622107, 0.022748835789666043, 0.022739244786974241, 0.022732778287942235, 0.022728623081640583, 0.022726298325452844, 0.022725549898259548, 0.022725922474203658, 0.022727059532434993, 0.022729020922384876, 0.022731912871626861, 0.02273589876049148, 0.022741216557839051, 0.022748205889058425, 0.022757349625884368, 0.022769337973017879, 0.022785168000746637, 0.022806299369804613, 0.022834898121485543, 0.022874211804147511, 0.022929111836493717, 0.023006733968281082, 0.023116672675653285, 0.023268609096952764, 0.023461806796346425, 0.023661165578777565, 0.023784046691354296, 0.023762149023225838, 0.023624253580651622, 0.023451845956416084, 0.023297549517414855, 0.023175894311403888, 0.023084073080226638, 0.023015277153625953, 0.022963307234535844, 0.022923480308253672, 0.02289246061335368, 0.022867907956686643, 0.022848176109339244, 0.022832094755165087, 0.022818820356383326, 0.022807735806949166, 0.022798382893265932, 0.022790416471089335, 0.02278357301338875, 0.022777648736455769, 0.02277248417874296, 0.02276795318094688, 0.022763954907311909, 0.022760407995940958, 0.022757246218638005, 0.022754415224297657, 0.02275187006927035, 0.022749573325734407, 0.022747493619124239, 0.022745604487262625, 0.02274388348300756, 0.022742311462891334, 0.022740872019028899, 0.022739551022276951, 0.022738336252440431, 0.022737217097081985, 0.02273618430476898, 0.022735229781799503, 0.02273434642386972, 0.022733527975987645, 0.022732768915349172, 0.022732064352982029, 0.02273140995080768, 0.022730801851432648, 0.022730236618499294, 0.022729711185836499, 0.0227292228139769, 0.022728769052867661, 0.02272834770981106, 0.02272795682183994, 0.022727594631869935, 0.022727259568081963, 0.022726950226079581, 0.022726665353441072, 0.022726403836348, 0.02272616468802343, 0.022725947038756092, 0.022725750127322645, 0.022725573293650759, 0.022725415972591381, 0.022725277688690884, 0.022725158051872679, 0.022725056753954562, 0.022724973565942747, 0.022724908336056674, 0.022724860988450567, 0.022724831522608475, 0.022724820013400596, 0.022724826611797651, 0.022724851546250951, 0.022724895124755087, 0.022724957737620472, 0.022725039860994094, 0.022725142061178105, 0.022725264999808516, 0.022725409439970395, 0.022725576253341675, 0.02272576642847552, 0.022725981080351444, 0.022726221461349498, 0.022726488973828632, 0.022726785184522955, 0.022727111841007161, 0.022727470890526891, 0.022727864501542575, 0.022728295088398656, 0.022728765339604835, 0.022729278250306649, 0.022729837159631689, 0.022730445793729192, 0.022731108315481079, 0.02273182938205771, 0.022732614211730135, 0.022733468661645266, 0.022734399318632595, 0.022735413605562103, 0.02273651990633406, 0.022737727713284913, 0.02273904780167952, 0.022740492437081084, 0.022742075622818499, 0.02274381339659963, 0.022745724187676248, 0.02274782924902434, 0.022750153182997598, 0.022752724584167383, 0.022755576830029767, 0.022758749059574524, 0.022762287392265931, 0.0227756999682725, 0.022795155101127316, 0.022824623075530102, 0.022871876014786765, 0.022953783039394087, 0.023112602644772079, 0.02347946798755365, 0.024637730851012715, 0.032141870016851593, 0.065239500168397524, 0.027015209313216795, 0.024151652868676071, 0.023439837633227836, 0.02315919459797432, 0.02301975843661375, 0.022940129484316139, 0.022890229644730815, 0.022856828045783283, 0.022833355568214694, 0.022816247795909038, 0.022803436616094956, 0.022793660041985072, 0.022786120389228962, 0.022780304832161844, 0.022775888110054397, 0.02277268083268158, 0.022770607028730502, 0.022769705943580007, 0.022770162780230852, 0.02277238761248335, 0.022777193979011245, 0.022786216750989064, 0.022802989965126835, 0.022836178910575187, 0.022911710502105685, 0.023138312505601003, 0.024447599849545414, 0.045403500653627228, 0.023926650137377319, 0.023076559462271485, 0.022893611579744875, 0.022825526284211802, 0.022792605537213219, 0.022773981629406154, 0.022762262526021131, 0.022754290545612756, 0.022748531488639465, 0.022744166093050612, 0.022740723974820267, 0.022737919074919975, 0.022735569103444417, 0.022733553307792857, 0.022731789048869556, 0.022730218180428325, 0.022728798803489231, 0.022727500098172412, 0.022726298984608397, 0.022725177907102916, 0.022724123328300018, 0.022723124683803608, 0.022722173642379995, 0.022721263573218797, 0.022720389156170574, 0.022719546092431372, 0.022718730886923551, 0.02271794068260689, 0.022717173132917264, 0.02271642630255552, 0.022715698589606693, 0.022714988663886528, 0.022714295417761807, 0.022713617926652933, 0.022712955417120862, 0.022712307240945692, 0.022711672853976423, 0.022711051798807894, 0.02271044369054788, 0.022709848205094613, 0.022709265069464208, 0.022708694053799605, 0.022708134964763777, 0.022707587640075914, 0.022707051943992706, 0.02270652776357223, 0.022706015005585275, 0.022705513593961925, 0.022705023467679213, 0.022704544579011107, 0.022704076892074172, 0.022703620381613065, 0.02270317503197871, 0.02270274083625945, 0.022702317795531987, 0.022701905918204354, 0.022701505219428174, 0.022701115720561198, 0.022700737448665281, 0.022700370436027628, 0.022700014719696321, 0.022699670341023066, 0.02269933734520873, 0.022699015780848517, 0.02269870569947537, 0.022698407155101505, 0.022698120203758838, 0.02269784490303995, 0.022697581311641908, 0.022697329488915577, 0.022697089494423471, 0.022696861387508999, 0.022696645226880353, 0.022696441070211647, 0.02269624897376411, 0.022696068992029417, 0.022695901177397067, 0.02269574557984708, 0.022695602246669014, 0.022695471222207685, 0.022695352547635435, 0.022695246260750656, 0.022695152395801523, 0.022695070983334037, 0.0226950020500628, 0.022694945618763188, 0.022694901708183328, 0.02269487033297448, 0.022694851503638355, 0.022694845226490477, 0.0226948494112609, 0.022694861964228541, 0.022694882881363596, 0.022694912155952984, 0.022694949778604995, 0.02269499573725536, 0.022695050017174128, 0.022695112600972709, 0.022695183468610346, 0.022695262597398957, 0.022695349962005177, 0.022695445534448331, 0.022695549284092779, 0.022695661177632925, 0.022695781179068963, 0.022695909249671391, 0.022696045347931692, 0.022696189429497145, 0.022696341447086547, 0.022696501350384486, 0.022696669085910687, 0.02269684459686145, 0.022697027822919852, 0.022697218700031163, 0.022697417160139937, 0.022697623130885303, 0.022697836535250832, 0.022698057291165467, 0.022698285311052124, 0.022698520501320919, 0.022698762761803801, 0.022699011985128425, 0.022699268056028895, 0.02269953085059194, 0.022699800235437821, 0.022700076066835728, 0.022700358189754959, 0.022700646436853624, 0.022700940627408472, 0.022701240566190453, 0.022701546042292332, 0.022701856827916585, 0.022702172677133294, 0.022702493324620075, 0.022702818484398101, 0.022703147848580525, 0.02270348108615159, 0.022703817841797484, 0.022704157734811464, 0.02270450035809864, 0.02270484527730687, 0.022705192030112311, 0.022705540125689275, 0.022705889044394453, 0.022706238237696075, 0.022706587128377826, 0.022706935111046239, 0.022707281552967952, 0.022707625795260707, 0.022707967154457859, 0.022708304924461669, 0.022708638378895477, 0.022708966773858537, 0.022709289351080922, 0.022709605341469135, 0.022709913969025733, 0.022710214455119847, 0.022710506023078628, 0.022710787903063693, 0.022711059337191544, 0.0227113195848525, 0.02271156792817898, 0.022711803677611574, 0.022712026177509288, 0.022712234811749187, 0.022712429009259558, 0.022712608249429809, 0.022712772067339706, 0.022712920058748802, 0.022713051884785757, 0.022713167276275294, 0.022713266037638655, 0.022713348050301844, 0.022713413275545567, 0.022713461756731085, 0.022713493620839093, 0.02271350907926362, 0.02271350842781111, 0.022713492045865535, 0.022713460394694428, 0.022713414014887332, 0.022713353522936762, 0.022713279606991627, 0.022713193021833829, 0.022713094583147939, 0.022712985161172299, 0.022712865673835191, 0.022712737079491639, 0.022712600369384949, 0.0227124565599604, 0.0227123066851584, 0.022712151788809882, 0.022711992917247931, 0.022711831112238706, 0.02271166740432019, 0.022711502806621892, 0.022711338309221736, 0.022711174874079421, 0.022711013430568874, 0.022710854871616677, 0.022710700050439167, 0.022710549777858056, 0.022710404820163749, 0.022710265897486762, 0.022710133682630817, 0.022710008800316341, 0.022709891826780043, 0.022709783289674802, 0.02270968366821418, 0.022709593393507043, 0.022709512849030278, 0.022709442371190665, 0.022709382249930916, 0.022709332729339185, 0.022709294008226584, 0.022709266240641825, 0.02270924953629792, 0.022709243960891107], [0.02289033463958625, 0.022890341377158455, 0.02289036158832183, 0.02289039526843837, 0.022890442409850852, 0.022890503001992753, 0.022890577031544089, 0.022890664482634587, 0.0228907653370965, 0.022890879574769582, 0.02289100717386082, 0.022891148111362294, 0.022891302363530069, 0.022891469906427795, 0.022891650716538172, 0.022891844771445801, 0.022892052050594604, 0.022892272536123113, 0.022892506213780348, 0.022892753073925222, 0.022893013112611691, 0.022893286332761796, 0.022893572745428362, 0.022893872371148597, 0.022894185241389614, 0.022894511400086276, 0.022894850905271456, 0.022895203830798266, 0.022895570268153111, 0.022895950328357999, 0.022896344143959742, 0.022896751871102856, 0.022897173691681826, 0.022897609815567578, 0.022898060482901099, 0.02289852596644559, 0.022899006573986431, 0.022899502650765281, 0.022900014581931669, 0.022900542794991135, 0.02290108776222459, 0.022901650003047287, 0.022902230086269335, 0.022902828632211294, 0.022903446314618846, 0.022904083862309247, 0.022904742060469711, 0.022905421751512649, 0.022906123835376553, 0.022906849269142743, 0.022907599065818282, 0.022908374292113939, 0.02290917606502435, 0.022910005546995744, 0.022910863939446507, 0.022911752474389438, 0.022912672403893927, 0.022913624987125143, 0.022914611474709631, 0.022915633090207846, 0.022916691008529888, 0.022917786331218482, 0.022918920058650587, 0.022920093059383796, 0.022921306037103451, 0.02292255949591648, 0.022923853705091805, 0.022925188664759986, 0.022926564074549509, 0.022927979307630339, 0.022929433393126929, 0.022930925010306875, 0.022932452498287844, 0.022934013885167442, 0.02293560694039485, 0.022937229253804804, 0.022938878343981502, 0.022940551797505822, 0.02294224743921577, 0.022943963531992392, 0.022945699002957506, 0.022947453691578676, 0.02294922861429733, 0.02295102624019997, 0.022952850773168988, 0.022954708438024028, 0.022956607771450553, 0.022958559922970984, 0.022960578976764737, 0.022962682311730549, 0.022964891024868445, 0.022967230452130942, 0.022969730831997048, 0.022972428171310167, 0.022975365392262873, 0.022978593866724253, 0.022982175483899969, 0.022986185456631992, 0.022990716161694746, 0.022995882448503636, 0.023001829069293492, 0.023008741234549369, 0.023016859872971512, 0.023026504144071445, 0.023038105430106526, 0.023052260038167471, 0.023069813418826655, 0.023091999489869786, 0.023120680497328051, 0.023158779504726345, 0.023211103458175657, 0.023286011910095682, 0.02339906004458777, 0.023581648473118728, 0.023903346610172117, 0.024530697151207544, 0.025812024619401807, 0.02738914258834179, 0.026229123897265713, 0.024447194350110404, 0.023632994463674461, 0.023282723806551262, 0.0231154184060921, 0.023027353124127521, 0.022977706955339901, 0.022948675953482829, 0.022931828798970932, 0.022923005425223714, 0.022920255746738984, 0.022920666501133696, 0.02292193155057606, 0.022924154259801443, 0.022927524860111518, 0.02293235231467753, 0.022939120792276623, 0.022948588407675576, 0.022961962919128286, 0.022981224506447285, 0.023009742390137134, 0.023053501243634124, 0.0231236149654514, 0.023241403880931381, 0.023446704200685904, 0.023794674913869839, 0.024242950360566798, 0.024404717481640244, 0.024094406926916414, 0.023715045883372775, 0.0234548866194958, 0.023294442562230171, 0.023193979416466042, 0.023128328893996575, 0.023083480054367004, 0.023051603284860476, 0.02302816562912044, 0.023010431929492647, 0.022996684852069772, 0.022985806526082904, 0.022977045595501292, 0.022969882559288713, 0.022963949144316931, 0.022958978452945252, 0.022954773228445448, 0.022951185116061854, 0.022948100784765526, 0.022945432438980222, 0.022943111204491915, 0.022941082435872024, 0.022939302333275811, 0.022937735467231393, 0.0229363529432813, 0.022935131024257378, 0.022934050084385437, 0.022933093807089484, 0.022932248563918133, 0.022931502929601975, 0.022930847300518864, 0.022930273592513008, 0.022929775000211837, 0.02292934580446937, 0.022928981217842315, 0.022928677260429669, 0.022928430660215826, 0.022928238773424925, 0.022928099521438261, 0.022928011341634955, 0.02292797315015118, 0.022927984315061292, 0.022928044638900406, 0.022928154349798734, 0.022928314100803506, 0.022928524977243948, 0.022928788512260913, 0.022929106710890736, 0.022929482083376383, 0.022929917688690356, 0.022930417189612671, 0.022930984921128994, 0.022931625974425728, 0.022932346299388531, 0.022933152829299017, 0.022934053632421507, 0.022935058096448344, 0.022936177153419925, 0.022937423554881705, 0.022938812209860455, 0.022940360601975945, 0.02294208930699557, 0.02294402263886685, 0.022946189461417767, 0.022948624215496989, 0.022951368228796863, 0.02295447140013436, 0.022957994384822631, 0.022962011457926475, 0.022966614305371787, 0.022971917101213754, 0.022978063392330206, 0.022985235561217263, 0.022993668026543287, 0.023003665960407489, 0.023015632309802338, 0.023030107593873812, 0.023047829839859445, 0.023069827140674789, 0.02309756470562083, 0.023133186183857651, 0.023179924774166572, 0.02324283474269211, 0.0233301617102065, 0.023456072536667937, 0.023646518132062064, 0.023953060626383603, 0.024489629907209043, 0.02554686025379015, 0.028030485035955122, 0.035600873008515575, 0.060201536976619903, 0.050779447221247269, 0.032718061408386324, 0.027446942711400878, 0.025500573942429793, 0.024596555515923043, 0.024108012108400832, 0.023815455055337043, 0.023627066268351319, 0.023499160375866697, 0.0234088587340371, 0.023343263884222611, 0.023294674770055299, 0.023258281563275314, 0.023230975652676619, 0.023210700146688131, 0.023196079494098097, 0.023186201592762575, 0.023180487903405451, 0.023178617612118604, 0.023180487903405444, 0.023186201592762506, 0.023196079494098121, 0.023210700146688152, 0.023230975652676619, 0.023258281563275172, 0.023294674770055333, 0.023343263884222649, 0.02340885873403728, 0.023499160375866877, 0.023627066268350958, 0.023815455055337019, 0.024108012108400391, 0.024596555515922661, 0.025500573942428644, 0.027446942711401884, 0.032718061408380281, 0.050779447221233412, 0.060201536976604117, 0.035600873008511461, 0.028030485035953359, 0.025546860253789348, 0.024489629907208797, 0.023953060626383742, 0.023646518132061919, 0.023456072536667871, 0.023330161710206441, 0.023242834742692096, 0.023179924774166579, 0.023133186183857648, 0.02309756470562083, 0.023069827140674799, 0.023047829839859441, 0.023030107593873812, 0.023015632309802334, 0.0230036659604075, 0.02299366802654329, 0.022985235561217263, 0.022978063392330213, 0.022971917101213758, 0.022966614305371794, 0.022962011457926472, 0.022957994384822638, 0.022954471400134364, 0.02295136822879686, 0.022948624215496996, 0.022946189461417767, 0.02294402263886685, 0.022942089306995577, 0.022940360601975938, 0.022938812209860458, 0.022937423554881708, 0.022936177153419921, 0.022935058096448351, 0.0229340536324215, 0.022933152829299024, 0.022932346299388531, 0.022931625974425718, 0.022930984921128994, 0.022930417189612671, 0.022929917688690352, 0.022929482083376376, 0.02292910671089074, 0.022928788512260913, 0.022928524977243955, 0.022928314100803503, 0.022928154349798738, 0.022928044638900403, 0.022927984315061274, 0.022927973150151184, 0.022928011341634955, 0.022928099521438251, 0.022928238773424921, 0.02292843066021583, 0.022928677260429665, 0.022928981217842315, 0.02292934580446937, 0.022929775000211844, 0.022930273592513005, 0.022930847300518864, 0.022931502929601975, 0.022932248563918126, 0.022933093807089477, 0.02293405008438543, 0.022935131024257368, 0.0229363529432813, 0.022937735467231393, 0.022939302333275818, 0.022941082435872021, 0.022943111204491922, 0.022945432438980212, 0.022948100784765512, 0.022951185116061847, 0.022954773228445451, 0.022958978452945263, 0.022963949144316941, 0.022969882559288692, 0.022977045595501303, 0.022985806526082876, 0.022996684852069755, 0.02301043192949264, 0.023028165629120387, 0.023051603284860375, 0.023083480054366928, 0.023128328893996675, 0.023193979416466115, 0.023294442562230771, 0.023454886619495633, 0.023715045883374527, 0.024094406926918492, 0.024404717481641403, 0.024242950360566957, 0.023794674913868833, 0.023446704200685585, 0.023241403880931284, 0.023123614965451341, 0.023053501243634113, 0.023009742390137044, 0.022981224506447379, 0.022961962919128255, 0.022948588407675587, 0.022939120792276613, 0.02293235231467752, 0.022927524860111528, 0.022924154259801439, 0.022921931550576063, 0.022920666501133703, 0.022920255746738984, 0.022920460442881294, 0.022921082508552404, 0.022922146469880174, 0.022923695258013816, 0.022925793559154528, 0.022928533093045461, 0.022932040541144009, 0.022936489280152371, 0.022942116764124408, 0.022949250520169648, 0.022958347598250644, 0.022970055516947738, 0.02298530830661388, 0.023005481013588569, 0.023032643137713846, 0.023069980494638445, 0.023122498641786067, 0.023198158930810047, 0.023309484668327142, 0.02347471880072026, 0.02371332281717866, 0.024018818393988426, 0.024294473338957644, 0.024359803222597579, 0.024175059170000533, 0.023897237122290773, 0.023652189671717165, 0.023470048641817082, 0.023340933434758716, 0.02324939669924217, 0.023183365158462955, 0.023134649674452005, 0.023097880292943518, 0.023069528628617726, 0.023047240511394944, 0.023029413499360715, 0.023014933667437721, 0.023003010656610264, 0.022993072762907251, 0.022984698985845348, 0.022977574163623084, 0.022971458784303258, 0.022966168299334944, 0.022961558702758792, 0.022957516315190642, 0.022953950437115265, 0.022950787991279968, 0.022947969564546682, 0.022945446448085924, 0.022943178399054787, 0.02294113193003839, 0.022939278988954329, 0.022937595930926313, 0.022936062710665252, 0.022934662242953343, 0.022933379892413546, 0.022932203063538315, 0.022931120869077944, 0.022930123860126762, 0.022929203805128411, 0.022928353507926123, 0.022927566657173458, 0.022926837701084484, 0.022926161742775585, 0.022925534452432287, 0.022924951993295452, 0.022924410959055654, 0.02292390832071103, 0.022923441381312713, 0.022923007737314781, 0.02292260524547975, 0.022922231994478182, 0.022921886280472863, 0.022921566586100735, 0.022921271562365935, 0.022921000013039514, 0.022920750881228788, 0.022920523237835437, 0.022920316271667504, 0.022920129281010119, 0.022919961666491882, 0.022919812925112058, 0.022919682645317775, 0.022919570503040495, 0.022919476258619665, 0.02291939975455717, 0.022919340914060608, 0.022919299740346941, 0.022919276316690072, 0.022919270807208306, 0.022919283458398811, 0.022919314601438274, 0.022919364655281025, 0.022919434130598187, 0.022919523634615691, 0.022919633876923223, 0.022919765676343292, 0.022919919968967934, 0.022920097817491672, 0.022920300421994208, 0.022920529132353908, 0.022920785462506733, 0.022921071106803501, 0.02292138795876408, 0.022921738132581471, 0.022922123987792961, 0.022922548157612459, 0.022923013581511262, 0.022923523542745496, 0.022924081711664133, 0.022924692195795428, 0.022925359597910394, 0.022926089083507586, 0.022926886459465806, 0.022927758265985889, 0.022928711884406393, 0.02292975566405878, 0.022930899072053909, 0.022932152870809117, 0.022933529329286717, 0.022935042475396714, 0.022936708398916161, 0.022938545616729814, 0.022940575515381947, 0.022942822890096012, 0.022945316604909047, 0.022948090405859344, 0.022951183928927102, 0.022962896303885687, 0.022979819016027327, 0.023005264368239613, 0.023045578244387171, 0.023114129554628902, 0.023242988743479534, 0.023525131589519594, 0.02432656179934381, 0.028261768010361205, 0.087085806401042465, 0.029868567304015395, 0.024806791574566535, 0.023797932424504571, 0.023435023158675756, 0.023263361936419716, 0.023168241359701896, 0.023109818267930148, 0.023071261034681729, 0.023044447125989562, 0.023025060769597309, 0.023010637678976559, 0.022999692823153638, 0.022991296872173848, 0.02298485726732117, 0.022980000943175809, 0.02297651258117429, 0.022974307989280955, 0.022973436377193519, 0.02297411723063119, 0.022976835512808737, 0.022982559701647413, 0.022993261157406061, 0.023013288431669041, 0.023053644519908004, 0.023148998693445107, 0.023459737575840328, 0.025776328705214544, 0.032888692551499489, 0.023788354912818142, 0.023213780001149566, 0.023069613284464136, 0.023012493927044665, 0.022983932400937632, 0.022967434054058183, 0.022956902542390887, 0.022949661499327294, 0.022944385795298377, 0.022940358074702089, 0.022937162222958048, 0.022934543177306359, 0.022932337380768855, 0.022930435938758386, 0.022928764011807358, 0.022927268750743475, 0.022925911951985425, 0.022924665432656293, 0.022923508030942209, 0.022922423609066395, 0.022921399692449339, 0.022920426522812506, 0.022919496386763584, 0.022918603131492646, 0.022917741809935239, 0.022916908417049534, 0.022916099691224063, 0.022915312962918048, 0.022914546038015716, 0.022913797107013884, 0.022913064673659177, 0.022912347498389614, 0.022911644553161001, 0.022910954985113367, 0.022910278087164289, 0.022909613274076274, 0.022908960062884762, 0.022908318056825566, 0.022907686932089735, 0.022907066426876743, 0.02290645633232645, 0.022905856484993398, 0.022905266760592721, 0.02290468706879684, 0.022904117348902416, 0.022903557566218473, 0.022903007709051668, 0.022902467786185196, 0.022901937824764275, 0.022901417868514864, 0.022900907976233197, 0.022900408220493513, 0.022899918686529186, 0.022899439471248995, 0.022898970682356596, 0.022898512437545895, 0.022898064863749568, 0.022897628096422117, 0.022897202278841705, 0.02289678756141875, 0.022896384101001359, 0.022895992060170439, 0.022895611606519296, 0.022895242911914464, 0.022894886151736134, 0.022894541504098073, 0.022894209149048068, 0.022893889267751072, 0.022893582041658082, 0.022893287651664623, 0.022893006277263105, 0.022892738095693917, 0.022892483281100252, 0.022892242003692019, 0.022892014428924037, 0.02289180071669376, 0.022891601020563635, 0.022891415487012859, 0.022891244254723168, 0.022891087453902757, 0.022890945205652172, 0.022890817621375598, 0.02289070480224047, 0.022890606838688089, 0.022890523809997274, 0.022890455783903082, 0.022890402816271832, 0.022890364950833918, 0.022890342218974947, 0.02289033463958625, 0.022890339692575302, 0.022890354848095085, 0.022890380095810847, 0.022890415418522464, 0.022890460792200543, 0.022890516186036301, 0.022890581562504054, 0.022890656877435335, 0.022890742080103287, 0.022890837113315653, 0.022890941913514432, 0.022891056410880271, 0.022891180529439097, 0.022891314187168336, 0.02289145729610003, 0.022891609762417751, 0.022891771486543935, 0.022891942363214332, 0.022892122281535723, 0.022892311125023296, 0.022892508771613425, 0.022892715093648028, 0.022892929957826234, 0.022893153225119027, 0.022893384750642835, 0.022893624383487694, 0.022893871966496185, 0.022894127335988865, 0.02289439032143285, 0.02289466074505014, 0.022894938421362546, 0.02289522315667112, 0.022895514748468088, 0.022895812984780235, 0.022896117643443743, 0.022896428491311016, 0.022896745283391778, 0.022897067761931521, 0.022897395655432237, 0.022897728677621632, 0.022898066526379247, 0.022898408882629406, 0.022898755409213292, 0.022899105749754511, 0.022899459527534968, 0.022899816344399859, 0.022900175779713493, 0.022900537389389373, 0.022900900705020717, 0.022901265233139199, 0.02290163045463163, 0.022901995824345555, 0.022902360770915509, 0.022902724696842305, 0.022903086978856558, 0.022903446968597092, 0.022903803993632274, 0.022904157358849236, 0.022904506348231983, 0.022904850227043888, 0.022905188244424272, 0.022905519636401708, 0.02290584362931853, 0.022906159443653627, 0.022906466298221174, 0.022906763414715016, 0.022907050022559917, 0.022907325364023564, 0.02290758869953631, 0.022907839313160386, 0.02290807651814648, 0.022908299662512566, 0.022908508134579546, 0.022908701368398104, 0.022908878849003458, 0.02290904011743684, 0.022909184775475964, 0.022909312490020404, 0.022909422997081135, 0.022909516105326381, 0.022909591699139274, 0.022909649741144466, 0.022909690274163369, 0.022909713422559617, 0.022909719392938999, 0.022909708474171751, 0.022909681036709678, 0.022909637531177956, 0.022909578486229477, 0.022909504505660757, 0.022909416264801363, 0.022909314506202698, 0.022909200034667287, 0.022909073711675387, 0.022908936449280378, 0.022908789203557916, 0.022908632967705175, 0.022908468764894774, 0.022908297640993495, 0.022908120657256958, 0.022907938883110057, 0.022907753389117082, 0.022907565240236929, 0.02290737548944816, 0.022907185171814958, 0.022906995299051137, 0.022906806854623794, 0.022906620789423369, 0.022906438018011802, 0.022906259415447109, 0.022906085814669897, 0.022905918004426692, 0.022905756727695837, 0.022905602680574271, 0.022905456511578107, 0.022905318821306309, 0.022905190162414209, 0.022905071039843159, 0.022904961911253255, 0.022904863187607385, 0.02290477523385755, 0.022904698369687788, 0.022904632870271585, 0.022904578967006206, 0.022904536848190833, 0.022904506659620238, 0.022904488505070774, 0.022904482446660577], [0.023060351991397717, 0.023060359714306842, 0.02306038287974891, 0.023060421477898028, 0.023060475492477792, 0.023060544900912007, 0.023060629674537148, 0.02306072977887751, 0.023060845173984833, 0.023060975814844075, 0.023061121651847385, 0.023061282631338345, 0.023061458696228811, 0.023061649786690577, 0.023061855840924021, 0.023062076796006095, 0.023062312588819422, 0.023062563157064588, 0.023062828440357019, 0.02306310838140992, 0.023063402927304296, 0.023063712030846683, 0.023064035652015057, 0.023064373759492877, 0.023064726332290786, 0.023065093361455277, 0.023065474851862975, 0.02306587082409884, 0.023066281316415964, 0.023066706386774202, 0.023067146114953925, 0.023067600604740619, 0.023068069986174899, 0.023068554417861355, 0.023069054089328231, 0.023069569223428042, 0.023070100078767131, 0.023070646952149474, 0.023071210181016596, 0.0230717901458618, 0.023072387272591782, 0.023073002034803197, 0.023073634955934952, 0.023074286611248711, 0.023074957629581179, 0.023075648694800388, 0.023076360546886276, 0.023077093982541451, 0.023077849855222671, 0.023078629074466242, 0.023079432604362498, 0.023080261461014839, 0.02308111670880025, 0.023081999455229409, 0.023082910844188786, 0.023083852047335859, 0.023084824253413839, 0.023085828655258385, 0.023086866434289227, 0.023087938742319784, 0.023089046680583338, 0.023090191275972293, 0.023091373454624069, 0.02309259401317065, 0.023093853588204698, 0.023095152624808143, 0.023096491345339604, 0.02309786972008087, 0.023099287441788158, 0.023100743906659692, 0.023102238204685072, 0.02310376912273996, 0.023105335164076129, 0.02310693458796979, 0.023108565473166705, 0.023110225808347644, 0.023111913612101492, 0.023113627083845727, 0.023115364785835816, 0.023117125854983468, 0.023118910241847302, 0.023120718973112502, 0.023122554433410745, 0.023124420662718935, 0.023126323667045548, 0.023128271742833394, 0.02313027581956997, 0.023132349830543797, 0.023134511128560201, 0.023136780971871031, 0.023139185115927191, 0.023141754559546181, 0.023144526510982706, 0.023147545662329069, 0.023150865893061968, 0.023154552570782118, 0.023158685687827422, 0.023163364180331329, 0.023168711944338082, 0.023174886330595477, 0.023182090333250152, 0.023190590409160619, 0.02320074309838124, 0.023213035792492911, 0.023228150971414362, 0.023247070777947208, 0.02327125379496504, 0.023302947246586693, 0.023345767401192461, 0.023405846177540872, 0.023494266874616841, 0.023632709086839013, 0.023867946245202439, 0.024313370692169441, 0.025272641372880621, 0.027368724743588872, 0.028646866787682728, 0.025960790138752795, 0.024315776962272669, 0.023677202970286391, 0.023401603875914615, 0.023265893169910973, 0.023192054016107133, 0.023148977840981404, 0.023122720454831363, 0.023106447561041348, 0.023096604587518652, 0.023091309620175832, 0.023089637645180097, 0.02308989500573063, 0.023090683334851911, 0.023092053361030054, 0.023094096659280895, 0.023096957745014468, 0.02310085462439198, 0.023106112859729619, 0.023113222481494691, 0.02312293536521217, 0.023136437561705046, 0.0231556670996662, 0.023183928558638583, 0.023227145200283381, 0.023296546327129006, 0.023414641735237867, 0.023627890127532306, 0.02402181980727016, 0.024634497174887117, 0.024985424580259569, 0.024574142875286888, 0.024036119816621751, 0.023693926162442484, 0.023497302952793744, 0.023380333475904198, 0.023306628520403147, 0.023257598428046884, 0.023223443662341841, 0.023198722704834196, 0.023180252860199698, 0.023166083312701612, 0.023154968287210635, 0.023146083422142659, 0.023138866090946581, 0.023132921809990957, 0.02312796737629708, 0.023123795199664361, 0.023120250283829583, 0.023117214988489353, 0.023114598709522288, 0.023112330745108621, 0.023110355271893673, 0.023108627747092082, 0.023107112292091281, 0.023105779763095035, 0.023104606310180575, 0.023103572288557649, 0.023102661427190977, 0.023101860187822901, 0.023101157266501485, 0.023100543202947244, 0.023100010072391566, 0.023099551241138071, 0.023099161171866139, 0.023098835268167753, 0.023098569750367785, 0.02309836155658275, 0.023098208264409767, 0.023098108029732931, 0.023098059539983534, 0.023098061979858212, 0.023098115008037295, 0.023098218743889457, 0.023098373763528326, 0.023098581104924458, 0.023098842282091137, 0.023099159308672537, 0.023099534731583223, 0.023099971675696582, 0.023100473900974604, 0.023101045873893347, 0.023101692855575475, 0.023102421009724837, 0.023103237534312104, 0.023104150822041831, 0.023105170656014539, 0.02310630844878506, 0.023107577535349595, 0.023108993533659642, 0.023110574790328471, 0.023112342934638701, 0.023114323571309856, 0.023116547152504174, 0.023119050083342946, 0.023121876134397239, 0.023125078261617762, 0.023128720972613304, 0.02313288343363178, 0.023137663592666287, 0.023143183714418744, 0.023149597904291021, 0.023157102477014149, 0.023165950461038431, 0.023176472225327125, 0.023189105351666246, 0.023204438780120462, 0.023223279537751548, 0.023246756198404599, 0.023276483976002658, 0.023314836974682184, 0.023365414505442009, 0.023433875938796367, 0.023529515571734619, 0.023668425738406666, 0.023880355579616663, 0.024225074040068899, 0.024836474821375954, 0.026062040818292647, 0.02900614692889009, 0.038135197288805128, 0.063474083475645302, 0.048334663775027147, 0.032491069640081305, 0.027635449765568757, 0.025756442957523745, 0.024858222143592557, 0.024363658254895473, 0.024063703944247623, 0.023868863662344666, 0.023735844104781589, 0.023641691069645719, 0.023573346356873352, 0.023522964619066191, 0.023485631819974335, 0.023458177685606655, 0.023438524452571507, 0.023425315814120551, 0.023417701330862059, 0.023415212979470485, 0.023417701330862056, 0.023425315814120471, 0.023438524452571542, 0.023458177685606679, 0.023485631819974321, 0.023522964619066011, 0.023573346356873404, 0.023641691069645775, 0.023735844104781849, 0.023868863662344919, 0.024063703944247068, 0.024363658254895448, 0.024858222143591815, 0.025756442957523128, 0.027635449765566093, 0.03249106964008458, 0.048334663775008682, 0.063474083475655751, 0.038135197288796274, 0.029006146928888518, 0.026062040818291807, 0.024836474821375479, 0.024225074040068757, 0.023880355579616753, 0.023668425738406565, 0.023529515571734574, 0.023433875938796318, 0.023365414505442005, 0.023314836974682181, 0.023276483976002647, 0.023246756198404599, 0.023223279537751551, 0.023204438780120452, 0.023189105351666246, 0.023176472225327125, 0.023165950461038438, 0.023157102477014146, 0.023149597904291021, 0.023143183714418744, 0.023137663592666294, 0.023132883433631783, 0.023128720972613304, 0.023125078261617762, 0.023121876134397236, 0.023119050083342946, 0.02311654715250417, 0.023114323571309856, 0.023112342934638704, 0.023110574790328475, 0.023108993533659635, 0.023107577535349588, 0.023106308448785064, 0.023105170656014539, 0.023104150822041834, 0.023103237534312107, 0.023102421009724847, 0.023101692855575475, 0.023101045873893344, 0.023100473900974607, 0.023099971675696589, 0.023099534731583223, 0.02309915930867254, 0.023098842282091133, 0.023098581104924461, 0.023098373763528333, 0.023098218743889454, 0.023098115008037299, 0.023098061979858218, 0.023098059539983534, 0.023098108029732934, 0.02309820826440976, 0.023098361556582746, 0.023098569750367778, 0.023098835268167757, 0.023099161171866143, 0.023099551241138078, 0.023100010072391569, 0.023100543202947247, 0.023101157266501478, 0.023101860187822908, 0.023102661427190977, 0.023103572288557646, 0.023104606310180572, 0.023105779763095032, 0.023107112292091277, 0.023108627747092079, 0.023110355271893673, 0.023112330745108624, 0.023114598709522281, 0.02311721498848935, 0.023120250283829573, 0.023123795199664354, 0.023127967376297083, 0.02313292180999095, 0.023138866090946588, 0.023146083422142673, 0.023154968287210604, 0.023166083312701629, 0.023180252860199639, 0.023198722704834179, 0.023223443662341831, 0.023257598428046783, 0.023306628520402949, 0.023380333475904066, 0.023497302952794029, 0.02369392616244274, 0.024036119816623784, 0.024574142875286583, 0.024985424580260693, 0.024634497174885313, 0.024021819807268408, 0.02362789012753241, 0.023414641735237517, 0.023296546327128895, 0.023227145200283367, 0.023183928558638565, 0.0231556670996662, 0.023136437561705008, 0.023122935365212205, 0.023113222481494684, 0.023106112859729622, 0.023100854624391969, 0.023096957745014468, 0.023094096659280899, 0.023092053361030054, 0.023090683334851921, 0.02308989500573062, 0.0230896376451801, 0.023089765985773988, 0.023090154957831788, 0.023090816648235788, 0.023091772012148355, 0.023093052174367683, 0.023094700436291651, 0.023096775207818492, 0.023099354203497652, 0.023102540422509511, 0.023106470711535484, 0.023111328154198946, 0.023117360254970982, 0.023124906092723583, 0.023134437679652779, 0.023146624363614452, 0.023162435562499147, 0.023183308933013808, 0.023211433099241934, 0.023250235341335197, 0.023305239947871079, 0.023385584027275887, 0.023506574408280814, 0.023693132624585021, 0.023979545132242177, 0.02438141693284181, 0.024787487431433802, 0.024897728063860401, 0.024617613404290299, 0.024221002652162333, 0.023899814813312284, 0.023677700122965665, 0.023528445577536781, 0.023426643028194312, 0.023355256626574932, 0.023303699490583227, 0.023265419742705972, 0.023236285666375953, 0.023213623447149855, 0.023195655331815734, 0.023181168290149066, 0.023169314504407918, 0.023159488285343109, 0.023151248240493721, 0.023144266872907403, 0.023138297204817818, 0.023133150211533622, 0.023128679268704346, 0.023124769242099309, 0.023121328708487019, 0.023118284325184573, 0.023115576697981349, 0.023113157309635771, 0.023110986209513695, 0.023109030256539705, 0.02310726176922008, 0.023105657478506722, 0.023104197708319268, 0.023102865728883915, 0.023101647242463445, 0.02310052997138352, 0.023099503325742898, 0.023098558133668217, 0.023097686421014764, 0.02309688123042546, 0.023096136471920967, 0.023095446798906252, 0.023094807504785087, 0.023094214436377308, 0.023093663921110338, 0.023093152705560675, 0.023092677903394952, 0.023092236951133348, 0.02309182757045404, 0.023091447735993427, 0.023091095647785633, 0.02309076970763747, 0.023090468498858003, 0.023090190768862453, 0.023089935414252444, 0.023089701468041922, 0.023089488088754353, 0.023089294551163011, 0.023089120238485639, 0.023088964635877417, 0.023088827325094465, 0.023088707980224211, 0.023088606364400167, 0.023088522327437196, 0.023088455804340106, 0.023088406814653857, 0.023088375462638033, 0.023088361938261602, 0.023088366519028285, 0.023088389572655507, 0.023088431560644822, 0.023088493042795658, 0.02308857468273106, 0.023088677254520802, 0.023088801650507446, 0.023088948890462698, 0.023089120132226554, 0.023089316684011457, 0.023089540018586933, 0.023089791789600522, 0.023090073850337359, 0.023090388275276642, 0.023090737384869039, 0.023091123774038672, 0.023091550345008153, 0.023092020345159996, 0.023092537410786811, 0.023093105617751734, 0.023093729540287194, 0.023094414319413399, 0.023095165742770339, 0.02309599033804325, 0.023096895482641842, 0.023097889532894128, 0.023098981976768601, 0.02310018361509017, 0.023101506777421978, 0.023102965580325988, 0.023104576237693856, 0.023106357435395644, 0.023108330785820225, 0.023110521382236977, 0.023112958478658314, 0.02311567632852814, 0.023125955683107997, 0.023140754747120757, 0.023162856807620306, 0.023197488349802939, 0.023255362851774427, 0.023361197893804905, 0.023582514743710124, 0.024159395881028355, 0.026471990494975499, 0.055020888458369457, 0.035738596856921594, 0.025661408529507785, 0.024176692137121637, 0.023699999675897521, 0.023487219320723729, 0.023373335624142719, 0.023304966754097749, 0.023260561747674303, 0.023230042506027435, 0.023208175912877001, 0.023192025552921838, 0.023179845757293923, 0.023170555832060312, 0.023163472775954184, 0.023158169941880791, 0.023154403348284069, 0.023152080166008331, 0.0231512616134564, 0.023152207211848672, 0.023155489753044552, 0.023162262044575412, 0.023174904807808244, 0.023198789618164746, 0.023247995211748688, 0.023369574637241396, 0.023808179344337151, 0.028453452018359388, 0.027796031912702961, 0.023746069121888261, 0.02333928855323027, 0.023223727126904209, 0.023175351744965527, 0.023150405365082297, 0.023135708002686398, 0.023126194802249842, 0.023119584515987557, 0.02311472716526659, 0.02311099195716998, 0.023108009317300678, 0.023105550940168404, 0.023103469512788147, 0.023101666454138685, 0.023100073721802672, 0.023098643088373061, 0.023097339576802246, 0.023096137307486567, 0.023095016794233276, 0.02309396313811064, 0.023092964793238878, 0.023092012705958117, 0.023091099703189837, 0.023090220050468839, 0.023089369127622494, 0.023088543187395304, 0.023087739173456599, 0.023086954581528801, 0.023086187352242667, 0.023085435787624432, 0.023084698485388969, 0.023083974286794668, 0.02308326223493342, 0.023082561541127193, 0.023081871557679705, 0.023081191755653038, 0.023080521706649353, 0.023079861067809078, 0.023079209569410047, 0.023078567004583151, 0.023077933220760089, 0.023077308112545141, 0.023076691615762614, 0.023076083702477535, 0.023075484376823371, 0.023074893671499685, 0.023074311644824892, 0.023073738378248259, 0.023073173974239941, 0.023072618554490221, 0.023072072258359177, 0.02307153524152682, 0.023071007674800491, 0.023070489743042936, 0.023069981644189549, 0.023069483588327964, 0.023068995796817492, 0.023068518501429235, 0.023068051943491156, 0.02306759637302546, 0.023067152047867901, 0.023066719232761466, 0.02306629819841876, 0.023065889220549529, 0.023065492578851571, 0.023065108555964754, 0.023064737436389579, 0.023064379505372663, 0.023064035047763071, 0.02306370434684403, 0.02306338768314568, 0.023063085333245196, 0.023062797568560955, 0.023062524654148226, 0.023062266847503919, 0.023062024397388053, 0.023061797542670084, 0.023061586511207537, 0.023061391518765, 0.023061212767980618, 0.023061050447387307, 0.023060904730495518, 0.02306077577494367, 0.023060663721722059, 0.023060568694475699, 0.023060490798890394, 0.023060430122166391, 0.023060386732583066, 0.023060360679157232, 0.023060351991397717, 0.023060357783349625, 0.023060375153980846, 0.023060404087630697, 0.023060444558240443, 0.023060496529416229, 0.023060559954516179, 0.023060634776760149, 0.023060720929360838, 0.023060818335674395, 0.02306092690936816, 0.023061046554603361, 0.023061177166229633, 0.023061318629988573, 0.023061470822722727, 0.023061633612586549, 0.02306180685925532, 0.023061990414127934, 0.023062184120519344, 0.023062387813837931, 0.023062601321743464, 0.023062824464280474, 0.023063057053982556, 0.02306329889594249, 0.023063549787843342, 0.02306380951994574, 0.023064077875026637, 0.023064354628264908, 0.023064639547069839, 0.023064932390848093, 0.023065232910706321, 0.023065540849085804, 0.02306585593932731, 0.023066177905164426, 0.023066506460144756, 0.023066841306979273, 0.023067182136821459, 0.023067528628479182, 0.023067880447563457, 0.023068237245580339, 0.023068598658973649, 0.023068964308128413, 0.023069333796346951, 0.023069706708811873, 0.023070082611552439, 0.023070461050433637, 0.023070841550189111, 0.023071223613522377, 0.023071606720302423, 0.023071990326882622, 0.023072373865573217, 0.023072756744300101, 0.023073138346482693, 0.02307351803116537, 0.023073895133435884, 0.023074268965163642, 0.023074638816088757, 0.02307500395528949, 0.023075363633052039, 0.023075717083161012, 0.023076063525622612, 0.023076402169825223, 0.023076732218133271, 0.023077052869901572, 0.023077363325886745, 0.023077662793023285, 0.023077950489520913, 0.023078225650231481, 0.023078487532224204, 0.023078735420501855, 0.023078968633783909, 0.023079186530280141, 0.023079388513375397, 0.023079574037147867, 0.023079742611644943, 0.023079893807845545, 0.023080027262243535, 0.02308014268099351, 0.023080239843568013, 0.023080318605882728, 0.023080378902853079, 0.023080420750353173, 0.023080444246553065, 0.023080449572616027, 0.023080436992741999, 0.023080406853547345, 0.023080359582775642, 0.023080295687338687, 0.023080215750692818, 0.023080120429562145, 0.023080010450028478, 0.023079886603017203, 0.023079749739218565, 0.023079600763495012, 0.023079440628836545, 0.023079270329936404, 0.023079090896469305, 0.02307890338616184, 0.023078708877750081, 0.023078508463922294, 0.023078303244343838, 0.023078094318858683, 0.023077882780955357, 0.023077669711576737, 0.023077456173342416, 0.023077243205239871, 0.023077031817827671, 0.023076822988980037, 0.023076617660188412, 0.023076416733422898, 0.023076221068543977, 0.023076031481244461, 0.023075848741492152, 0.02307567357243592, 0.023075506649732094, 0.023075348601243433, 0.023075200007060457, 0.023075061399792939, 0.023074933265079832, 0.023074816042266459, 0.02307471012520004, 0.023074615863096865, 0.023074533561438314, 0.023074463482856192, 0.023074405847972285, 0.023074360836161382, 0.023074328586211484, 0.023074309196859651, 0.023074302727186861], [0.023227467615213705, 0.023227476373119199, 0.02322750264173748, 0.023227546405812607, 0.02322760764004703, 0.023227686309295444, 0.023227782368837054, 0.02322789576472694, 0.023228026434227403, 0.02322817430632039, 0.023228339302302128, 0.023228521336461128, 0.02322872031684067, 0.023228936146087027, 0.023229168722384241, 0.023229417940476494, 0.023229683692778644, 0.023229965870575419, 0.023230264365309412, 0.023230579069957895, 0.023230909880497891, 0.023231256697458909, 0.023231619427562192, 0.023231997985445129, 0.023232392295468904, 0.02323280229360733, 0.02323322792941411, 0.023233669168065685, 0.023234125992475853, 0.023234598405478164, 0.023235086432071228, 0.023235590121721394, 0.023236109550716005, 0.023236644824559692, 0.023237196080404216, 0.023237763489500986, 0.023238347259662905, 0.023238947637719574, 0.023239564911946741, 0.023240199414446681, 0.023240851523451581, 0.023241521665516462, 0.023242210317561105, 0.023242918008713039, 0.023243645321894258, 0.023244392895083992, 0.023245161422178022, 0.023245951653351769, 0.023246764394819711, 0.023247600507868043, 0.023248460907020957, 0.023249346557183848, 0.023250258469590723, 0.023251197696368305, 0.023252165323517822, 0.023253162462109747, 0.023254190237488322, 0.023255249776296633, 0.023256342191161627, 0.023257468562928471, 0.023258629920409325, 0.023259827217720096, 0.02326106130942596, 0.023262332923908995, 0.023263642635613604, 0.023264990837121219, 0.023266377712353355, 0.02326780321259634, 0.023269267037467782, 0.0232707686233832, 0.02327230714249812, 0.023273881515454422, 0.023275490441499111, 0.023277132449611836, 0.023278805974122022, 0.023280509457874687, 0.02328224148530085, 0.02328400094678592, 0.023285787234585003, 0.023287600469342126, 0.023289441755229252, 0.023291313461076393, 0.023293219524891644, 0.02329516578014449, 0.023297160304356048, 0.023299213794106818, 0.023301339975702724, 0.02330355606759163, 0.023305883319432511, 0.023308347663914205, 0.023310980531790804, 0.023313819899533173, 0.023316911664812083, 0.023320311481498778, 0.023324087239049326, 0.023328322450792388, 0.023333120937728411, 0.023338613385622584, 0.023344966659050316, 0.02335239725688747, 0.023361191135019204, 0.023371733576270717, 0.023384555383835978, 0.023400406482136468, 0.023420377289052021, 0.023446107007304984, 0.023480158141963275, 0.023526728048709814, 0.023593092927202724, 0.023692781792511684, 0.023853268441709052, 0.024136959782074821, 0.024706591988261337, 0.026041526499322686, 0.029050892237148841, 0.029193404185131222, 0.025757018837461017, 0.024315834969535377, 0.023778304860908317, 0.023542261246193425, 0.023423301585324224, 0.023357131354184636, 0.023317678580281623, 0.023293021398759925, 0.023277189766960145, 0.023266991054705984, 0.023260649226670319, 0.02325717613081342, 0.023256069754879257, 0.023256245319378675, 0.023256781138102742, 0.023257705511147003, 0.02325906884437097, 0.023260949100724102, 0.023263460780644538, 0.023266769224092161, 0.023271113370977963, 0.023276842548032729, 0.02328447744862918, 0.023294814560334273, 0.023309112116474909, 0.023329436667708332, 0.023359343857417138, 0.023405297492676645, 0.0234798225120894, 0.023608922659960289, 0.023849594140298618, 0.024319622687847119, 0.025108936913535228, 0.025539964417706375, 0.02492140234650168, 0.024254267187429172, 0.023872423911867103, 0.02366456953246069, 0.023544428456559373, 0.023469983560211644, 0.023420986815914868, 0.023387104827537492, 0.023362713067573242, 0.023344565120996485, 0.023330689585745086, 0.023319836168452221, 0.02331118187148614, 0.023304167346660222, 0.023298401749763487, 0.023293605296290737, 0.023289573408377118, 0.023286153670694181, 0.023283230627479827, 0.023280715516069937, 0.023278539187460468, 0.023276647131636036, 0.023274995921769615, 0.023273550632958738, 0.023272282941840902, 0.023271169709436035, 0.023270191911937087, 0.023269333825425773, 0.023268582398233911, 0.023267926763616571, 0.023267357858526849, 0.023266868123495484, 0.023266451265169606, 0.023266102067778405, 0.023265816243225605, 0.023265590312036379, 0.023265421509269871, 0.023265307710930157, 0.023265247377496131, 0.023265239512036941, 0.023265283631050994, 0.023265379746712687, 0.023265528359670131, 0.023265730461937469, 0.023265987549793241, 0.023266301646949483, 0.023266675338617374, 0.023267111817481749, 0.023267614943029296, 0.023268189316180229, 0.023268840371776421, 0.023269574492219475, 0.023270399146475572, 0.023271323059832569, 0.023272356421290125, 0.023273511137398391, 0.023274801143884701, 0.023276242789732497, 0.023277855312791786, 0.023279661431917703, 0.023281688088635399, 0.023283967382252753, 0.023286537757404642, 0.023289445524001234, 0.023292746819131405, 0.023296510162659715, 0.023300819819205298, 0.023305780268476472, 0.023311522218694574, 0.023318210798461653, 0.023326056870963938, 0.023335332898075906, 0.023346395556202673, 0.023359718574050978, 0.023375941393784714, 0.023395942940952749, 0.023420956360656057, 0.023452752725982167, 0.023493945104303048, 0.023548511480141639, 0.023622735154968801, 0.023726987636181755, 0.023879329916524927, 0.024113371994255246, 0.02449716239389468, 0.025184526091013626, 0.026578746615146597, 0.029971892950879372, 0.040474348261813294, 0.065027955371228158, 0.047271887463959335, 0.032690163287811366, 0.027984478715619317, 0.02609521838668425, 0.025171945346399834, 0.024656345480929025, 0.024340693430662422, 0.024134443880458975, 0.023993232705669124, 0.023893320490137905, 0.023821117815727891, 0.023768435206433604, 0.023730150070935246, 0.023702986436505643, 0.023684846002257717, 0.023674431253326748, 0.023671034631323789, 0.023674431253326748, 0.023684846002257599, 0.023702986436505678, 0.02373015007093527, 0.023768435206433604, 0.02382111781572761, 0.023893320490137988, 0.023993232705669207, 0.024134443880459367, 0.024340693430662821, 0.024656345480928127, 0.025171945346399782, 0.0260952183866827, 0.027984478715617746, 0.032690163287803969, 0.047271887463968848, 0.065027955371237262, 0.040474348261821134, 0.029971892950876593, 0.026578746615145907, 0.025184526091013196, 0.024497162393894396, 0.024113371994255152, 0.023879329916524993, 0.023726987636181682, 0.023622735154968769, 0.023548511480141594, 0.023493945104303041, 0.023452752725982174, 0.023420956360656046, 0.023395942940952756, 0.023375941393784721, 0.023359718574050975, 0.02334639555620267, 0.023335332898075913, 0.023326056870963945, 0.023318210798461653, 0.023311522218694571, 0.023305780268476475, 0.023300819819205312, 0.023296510162659722, 0.023292746819131408, 0.02328944552400123, 0.023286537757404639, 0.023283967382252756, 0.023281688088635403, 0.023279661431917707, 0.023277855312791782, 0.023276242789732497, 0.023274801143884704, 0.023273511137398388, 0.023272356421290129, 0.023271323059832566, 0.023270399146475579, 0.023269574492219478, 0.023268840371776428, 0.023268189316180226, 0.023267614943029293, 0.023267111817481749, 0.023266675338617378, 0.023266301646949473, 0.023265987549793234, 0.023265730461937462, 0.023265528359670124, 0.023265379746712694, 0.02326528363105099, 0.023265239512036944, 0.023265247377496134, 0.023265307710930151, 0.023265421509269871, 0.023265590312036379, 0.023265816243225601, 0.023266102067778401, 0.023266451265169612, 0.023266868123495488, 0.02326735785852686, 0.023267926763616581, 0.023268582398233907, 0.023269333825425776, 0.023270191911937094, 0.023271169709436039, 0.023272282941840895, 0.023273550632958735, 0.023274995921769605, 0.023276647131636036, 0.023278539187460475, 0.023280715516069944, 0.023283230627479827, 0.023286153670694178, 0.023289573408377125, 0.02329360529629072, 0.023298401749763473, 0.023304167346660219, 0.02331118187148614, 0.023319836168452231, 0.023330689585745093, 0.02334456512099644, 0.023362713067573274, 0.023387104827537419, 0.023420986815914834, 0.023469983560211606, 0.023544428456559147, 0.023664569532460239, 0.023872423911866694, 0.024254267187430081, 0.024921402346502648, 0.02553996441770787, 0.025108936913535596, 0.024319622687844829, 0.023849594140297567, 0.023608922659959772, 0.023479822512089455, 0.02340529749267653, 0.0233593438574171, 0.023329436667708318, 0.023309112116474899, 0.023294814560334266, 0.023284477448629159, 0.023276842548032747, 0.02327111337097796, 0.023266769224092158, 0.023263460780644538, 0.023260949100724095, 0.02325906884437097, 0.023257705511146993, 0.023256781138102742, 0.023256245319378678, 0.023256069754879264, 0.023256157345355341, 0.023256422332549511, 0.023256871473558226, 0.023257516405326067, 0.023258374240393065, 0.023259468471415745, 0.023260830265836963, 0.023262500273140474, 0.023264531126061912, 0.023266990904329481, 0.023269967961715946, 0.02327357772203251, 0.023277972373854084, 0.023283354917878234, 0.02328999988757895, 0.023298284532057567, 0.023308736801603697, 0.023322111032899648, 0.023339510601280332, 0.023362592631103823, 0.023393920575995427, 0.023437591290048847, 0.023500383413992298, 0.023593896889742765, 0.023738451941523513, 0.023969112217990678, 0.024337602937550464, 0.024867529641113439, 0.025361218811402977, 0.025357511258362057, 0.024886160695251409, 0.024391964401508065, 0.024042888303896053, 0.023817500204315469, 0.023671281109446649, 0.023573395702249186, 0.023505461642991131, 0.023456687648088947, 0.023420601073460518, 0.02339319482300542, 0.023371905158162315, 0.023355039901391685, 0.023341449914760667, 0.023330334587382113, 0.023321123181133073, 0.023313400381105936, 0.023306858347281665, 0.023301265086141554, 0.023296443126367517, 0.023292254851915592, 0.023288592228456591, 0.023285369486125536, 0.023282517827532722, 0.023279981546285695, 0.023277715142940119, 0.023275681156266409, 0.023273848514243543, 0.023272191267269357, 0.023270687605643242, 0.023269319090707931, 0.023268070048161282, 0.023266927085593702, 0.023265878706009283, 0.023264914996113419, 0.023264027373286436, 0.023263208378954854, 0.023262451508896727, 0.023261751073138576, 0.02326110207970792, 0.023260500137730816, 0.023259941376305163, 0.023259422376309034, 0.023258940112870684, 0.02325849190667104, 0.02325807538260017, 0.023257688434566815, 0.023257329195481763, 0.023256996011613351, 0.023256687420656518, 0.023256402132972948, 0.023256139015554286, 0.02325589707833798, 0.023255675462569056, 0.023255473430954292, 0.023255290359399331, 0.023255125730156583, 0.023254979126243882, 0.023254850227020223, 0.023254738804829558, 0.023254644722643918, 0.023254567932656171, 0.023254508475789967, 0.023254466482110672, 0.023254442172136409, 0.023254435859064115, 0.023254447951940468, 0.023254478959824354, 0.023254529497004042, 0.023254600289351283, 0.023254692181914914, 0.02325480614787958, 0.023254943299041451, 0.023255104897983166, 0.023255292372164775, 0.023255507330188833, 0.023255751580545946, 0.023256027153203681, 0.023256336324470533, 0.023256681645647152, 0.023257065976075391, 0.023257492521313376, 0.023257964877307739, 0.023258487081608731, 0.023259063672886, 0.02325969976026487, 0.023260401104324525, 0.023261174211999011, 0.023262026448118787, 0.023262966166951369, 0.02326400286788121, 0.023265147380355181, 0.023266412084474306, 0.023267811175214578, 0.023269360980320185, 0.023271080344578331, 0.023272991096657231, 0.023275118619245479, 0.023277492549250718, 0.023286472664816982, 0.023299376751770663, 0.023318551980808316, 0.023348325757082636, 0.023397350625427134, 0.023484902114933901, 0.023660951073725952, 0.024088508914429471, 0.025558181596831001, 0.037282353417700025, 0.050452169017356552, 0.026936021466761082, 0.024628046156502163, 0.023986325693851521, 0.023718882857334624, 0.023581303783291003, 0.023500787469495799, 0.023449403924145542, 0.02341453665571612, 0.023389796190653435, 0.023371663953744851, 0.023358078325058013, 0.023347777565514677, 0.023339971650445327, 0.023334171103276884, 0.023330098677838321, 0.023327651913406369, 0.023326906838080294, 0.023328171349168744, 0.023332124812066583, 0.023340146488307852, 0.023355130149206888, 0.023383768672429257, 0.023444302824729455, 0.023601925867230693, 0.024246936772966854, 0.035211261057274075, 0.025884670359586855, 0.023769442771231206, 0.023471328346899561, 0.023377536565051499, 0.023336340051779581, 0.02331449774988735, 0.023301393816871234, 0.023292801299571887, 0.02328677078402256, 0.023282303021250783, 0.023278843123120667, 0.023276062940323874, 0.023273758276605324, 0.023271796604590798, 0.02327008881099369, 0.023268573137739359, 0.023267205656222187, 0.023265954405422881, 0.023264795667507027, 0.023263711534054234, 0.023262688275521894, 0.023261715224214805, 0.02326078399351721, 0.023259887922135986, 0.023259021671890444, 0.023258180932169935, 0.023257362199714894, 0.023256562612394928, 0.023255779822238871, 0.023255011897369723, 0.023254257245484296, 0.023253514553574214, 0.023252782740021932, 0.023252060916221472, 0.023251348355600467, 0.023250644468446154, 0.023249948781321868, 0.023249260920144232, 0.023248580596202238, 0.023247907594557044, 0.023247241764381536, 0.02324658301088935, 0.023245931288572958, 0.023245286595524377, 0.023244648968653924, 0.023244018479655196, 0.023243395231590532, 0.023242779355991571, 0.023242171010386167, 0.023241570376176329, 0.02324097765680281, 0.023240393076140974, 0.023239816877080276, 0.023239249320246198, 0.023238690682828814, 0.023238141257487459, 0.023237601351304583, 0.02323707128476634, 0.023236551390750548, 0.023236042013505546, 0.023235543507606975, 0.023235056236881425, 0.023234580573288716, 0.023234116895756721, 0.023233665588964784, 0.023233227042073468, 0.023232801647400745, 0.023232389799045631, 0.023231991891462498, 0.023231608317990329, 0.023231239469342607, 0.023230885732064555, 0.023230547486965597, 0.023230225107535831, 0.023229918958355602, 0.023229629393508699, 0.023229356755009145, 0.023229101371252749, 0.023228863555504162, 0.023228643604430409, 0.023228441796691972, 0.023228258391601721, 0.023228093627862208, 0.023227947722390979, 0.023227820869243038, 0.023227713238638984, 0.023227624976106549, 0.023227556201742151, 0.023227507009598629, 0.023227477467203769, 0.023227467615213705, 0.023227474183370636, 0.023227493880750058, 0.023227526686096379, 0.023227572564044834, 0.023227631465212732, 0.023227703326325441, 0.023227788070375975, 0.023227885606815876, 0.02322799583177533, 0.023228118628309553, 0.023228253866668411, 0.023228401404585795, 0.023228561087584729, 0.023228732749294271, 0.023228916211773476, 0.023229111285837864, 0.023229317771383175, 0.023229535457701445, 0.023229764123783796, 0.023230003538604504, 0.023230253461380686, 0.023230513641802019, 0.02323078382022473, 0.023231063727824363, 0.023231353086701781, 0.023231651609937308, 0.023231959001587699, 0.023232274956621828, 0.023232599160790405, 0.023232931290426445, 0.023233271012173429, 0.023233617982639006, 0.023233971847972937, 0.023234332243369037, 0.023234698792492306, 0.023235071106833163, 0.023235448784993149, 0.023235831411907097, 0.0232362185580096, 0.023236609778354785, 0.023237004611701247, 0.023237402579575937, 0.023237803185333389, 0.023238205913229192, 0.023238610227529412, 0.023239015571679962, 0.023239421367562976, 0.023239827014869225, 0.023240231890618281, 0.023240635348859739, 0.023241036720590663, 0.023241435313924766, 0.023241830414549868, 0.023242221286508859, 0.023242607173338065, 0.023242987299594571, 0.02324336087279948, 0.023243727085819673, 0.023244085119703703, 0.023244434146979812, 0.023244773335415327, 0.023245101852226301, 0.02324541886871578, 0.023245723565307193, 0.023246015136928588, 0.023246292798690962, 0.023246555791794556, 0.023246803389586547, 0.023247034903686594, 0.023247249690090552, 0.023247447155159896, 0.023247626761403496, 0.023247788032960862, 0.023247930560700663, 0.02324805400685586, 0.023248158109125637, 0.023248242684185499, 0.023248307630558396, 0.023248352930811782, 0.0232483786530568, 0.023248384951737273, 0.023248372067705067, 0.023248340327587252, 0.023248290142457238, 0.023248222005827723, 0.023248136490988416, 0.023248034247715404, 0.023247915998384036, 0.023247782533520885, 0.023247634706835971, 0.023247473429782051, 0.023247299665693836, 0.023247114423566931, 0.023246918751542889, 0.023246713730173171, 0.023246500465540231, 0.023246280082317751, 0.023246053716854773, 0.023245822510368042, 0.023245587602325042, 0.023245350124095614, 0.023245111192943275, 0.02324487190641876, 0.023244633337208255, 0.023244396528476974, 0.023244162489737309, 0.023243932193257991, 0.023243706571019256, 0.023243486512207132, 0.023243272861230187, 0.023243066416232628, 0.023242867928069948, 0.023242678099707169, 0.023242497585995087, 0.023242326993776274, 0.023242166882271327, 0.023242017763694379, 0.02324188010404819, 0.023241754324049867, 0.023241640800140934, 0.023241539865537949, 0.023241451811283474, 0.023241376887260842, 0.023241315303139984, 0.023241267229226158, 0.023241232797187209, 0.023241212100639706, 0.023241205195578665], [0.022972415490623697, 0.022972425228773307, 0.022972454436243732, 0.022972503092147763, 0.022972571161833051, 0.022972658597121765, 0.022972765336646335, 0.022972891306281377, 0.022973036419671956, 0.022973200578858557, 0.022973383674998515, 0.022973585589184334, 0.022973806193358402, 0.022974045351324184, 0.022974302919853275, 0.0229745787498878, 0.022974872687837097, 0.02297518457696782, 0.022975514258885773, 0.022975861575107902, 0.02297622636872242, 0.022976608486134652, 0.022977007778896053, 0.022977424105613268, 0.022977857333934142, 0.02297830734260679, 0.022978774023607783, 0.022979257284335173, 0.022979757049861098, 0.022980273265239035, 0.022980805897859172, 0.022981354939845423, 0.022981920410486249, 0.022982502358690347, 0.022983100865456938, 0.022983716046348673, 0.022984348053952813, 0.022984997080313912, 0.022985663359318058, 0.022986347169004537, 0.022987048833776728, 0.022987768726478095, 0.022988507270292974, 0.022989264940424293, 0.022990042265491936, 0.022990839828585369, 0.022991658267893594, 0.022992498276823078, 0.02299336060350116, 0.022994246049548941, 0.022995155467992856, 0.022996089760170656, 0.022997049871474544, 0.022998036785763822, 0.022999051518273295, 0.023000095106843574, 0.02300116860130828, 0.02300227305089473, 0.023003409489532219, 0.023004578919020992, 0.023005782290100391, 0.02300702048157223, 0.023008294277790622, 0.023009604345027836, 0.023010951207470889, 0.023012335223896327, 0.023013756566410287, 0.023015215203017692, 0.023016710886186838, 0.023018243149979266, 0.023019811318690395, 0.02302141453025431, 0.023023051777860189, 0.02302472197326182, 0.023026424035091596, 0.023028157005089325, 0.023029920194522421, 0.023031713362246381, 0.023033536924921806, 0.02303539219901336, 0.023037281673551027, 0.023039209312486583, 0.023041180886109312, 0.023043204332685634, 0.023045290154537258, 0.02304745185743819, 0.023049706448769747, 0.023052075018668152, 0.023054583439956672, 0.023057263237844326, 0.023060152700669558, 0.023063298330817592, 0.023066756774347018, 0.023070597425319091, 0.023074905986902032, 0.023079789403457552, 0.023085382785315266, 0.023091859281301943, 0.023099444402733097, 0.023108437229733225, 0.02311924254455432, 0.023132420840593557, 0.023148768582403074, 0.023169451677592129, 0.023196236814967294, 0.023231912393964355, 0.023281099963395661, 0.023351931219279462, 0.023459821971444639, 0.023636911816929618, 0.023958992192013927, 0.024635117951055562, 0.026333497723719526, 0.030243800896806717, 0.029047970019905049, 0.025296008902872084, 0.023976777728492625, 0.023490431784388009, 0.023274307772627342, 0.023163877502458324, 0.023101646931759021, 0.023064058669635241, 0.023040215787475646, 0.023024594813971924, 0.023014197555083452, 0.023007316209285686, 0.023002953364434451, 0.023000533800807653, 0.022999758242752719, 0.022999884813973172, 0.023000270116440607, 0.023000931398967278, 0.023001899087718068, 0.023003219564592635, 0.023004959640367681, 0.023007213468828898, 0.023010113155366937, 0.023013845179621198, 0.023018676292002258, 0.023024995390640755, 0.023033383362948721, 0.0230447338912168, 0.023060471489947724, 0.023082964982388293, 0.023116357909732994, 0.023168350052328059, 0.023254309919092751, 0.02340746626793196, 0.0237047405261075, 0.024314279689559678, 0.025325952300333073, 0.025578444327132799, 0.024652558340782765, 0.023944139255827869, 0.023577160799520346, 0.023382802889361325, 0.023271122127204287, 0.023201873865268657, 0.023156180765160336, 0.023124491374100553, 0.023101615600611507, 0.023084554597287005, 0.023071483381100034, 0.023061241614405863, 0.02305306357283099, 0.023046427574744739, 0.023040968280586681, 0.023036423632832162, 0.023032601667345009, 0.023029359136004589, 0.023026587374252668, 0.023024202738957646, 0.023022140002683426, 0.023020347704092291, 0.023018784819387808, 0.023017418342644261, 0.023016221502173285, 0.02301517242898745, 0.023014253151277975, 0.023013448827154087, 0.023012747153706457, 0.023012137908112296, 0.023011612588746986, 0.023011164132878396, 0.023010786693651329, 0.023010475463489312, 0.023010226534264478, 0.023010036786966691, 0.023009903805381818, 0.02300982580963791, 0.023009801606515664, 0.023009830554235028, 0.023009912540083974, 0.023010047969798209, 0.023010237768067703, 0.023010483389965863, 0.023010786843497388, 0.02301115072386125, 0.023011578260449455, 0.023012073378074489, 0.023012640774462377, 0.023013286016699351, 0.023014015660114965, 0.023014837394075605, 0.02301576022041605, 0.023016794671841832, 0.023017953079711995, 0.023019249903325614, 0.023020702136411088, 0.023022329811273039, 0.023024156627431364, 0.02302621074022446, 0.023028525756655226, 0.023031142002057203, 0.023034108143901035, 0.023037483291151992, 0.023041339733421012, 0.02304576655045578, 0.023050874419781743, 0.023056802095127844, 0.023063725247443181, 0.023071868697872894, 0.023081523602040674, 0.023093071994709863, 0.023107022498086344, 0.023124063343638188, 0.023145142920431572, 0.023171595324427564, 0.023205341830760961, 0.023249225139827981, 0.023307585600854809, 0.023387300096893129, 0.023499756858772328, 0.023664855289302494, 0.023919759107835101, 0.024339986536009703, 0.025096825807117116, 0.026640198667485154, 0.030404915642053415, 0.041844192852180669, 0.065236970863628729, 0.047091391700713171, 0.032908165939635595, 0.028101388896518541, 0.026118654940809699, 0.025134721099878743, 0.024580031026290451, 0.024238493170120785, 0.024014718442804801, 0.023861565398007715, 0.023753665209588781, 0.023676456210928145, 0.023621174615394737, 0.023582383526858593, 0.023556680996774295, 0.023541999039124066, 0.023537222535944469, 0.023541999039124056, 0.023556680996774132, 0.023582383526858649, 0.023621174615394772, 0.023676456210928135, 0.023753665209588368, 0.023861565398007822, 0.024014718442804912, 0.024238493170121448, 0.024580031026291121, 0.025134721099877036, 0.026118654940809609, 0.028101388896514975, 0.032908165939631633, 0.047091391700691147, 0.065236970863625732, 0.041844192852193658, 0.030404915642056395, 0.026640198667483905, 0.025096825807116724, 0.024339986536009443, 0.023919759107834934, 0.023664855289302414, 0.02349975685877238, 0.02338730009689307, 0.023307585600854785, 0.023249225139827946, 0.023205341830760954, 0.023171595324427557, 0.023145142920431568, 0.023124063343638191, 0.023107022498086348, 0.023093071994709856, 0.023081523602040677, 0.02307186869787289, 0.023063725247443177, 0.023056802095127841, 0.02305087441978174, 0.023045766550455787, 0.023041339733421012, 0.02303748329115201, 0.023034108143901038, 0.023031142002057206, 0.023028525756655222, 0.02302621074022446, 0.023024156627431364, 0.02302232981127305, 0.023020702136411088, 0.023019249903325614, 0.023017953079711995, 0.023016794671841832, 0.023015760220416053, 0.023014837394075602, 0.023014015660114961, 0.023013286016699344, 0.023012640774462374, 0.023012073378074482, 0.023011578260449448, 0.023011150723861246, 0.023010786843497392, 0.02301048338996585, 0.023010237768067703, 0.02301004796979822, 0.023009912540083974, 0.023009830554235042, 0.023009801606515657, 0.023009825809637906, 0.023009903805381822, 0.02301003678696668, 0.023010226534264485, 0.023010475463489315, 0.023010786693651326, 0.023011164132878389, 0.023011612588746986, 0.023012137908112296, 0.023012747153706468, 0.023013448827154087, 0.023014253151277978, 0.023015172428987443, 0.023016221502173285, 0.023017418342644258, 0.023018784819387801, 0.023020347704092288, 0.023022140002683426, 0.023024202738957639, 0.023026587374252672, 0.023029359136004589, 0.023032601667345023, 0.023036423632832155, 0.023040968280586677, 0.023046427574744718, 0.023053063572830965, 0.023061241614405849, 0.02307148338110003, 0.023084554597287015, 0.023101615600611511, 0.023124491374100491, 0.023156180765160388, 0.023201873865268518, 0.023271122127204211, 0.023382802889361287, 0.023577160799519773, 0.023944139255826474, 0.024652558340781415, 0.025578444327133982, 0.025325952300332355, 0.024314279689556736, 0.023704740526107663, 0.023407466267931252, 0.023254309919092435, 0.023168350052327875, 0.023116357909733019, 0.023082964982388238, 0.023060471489947703, 0.023044733891216793, 0.023033383362948714, 0.023024995390640752, 0.02301867629200224, 0.023013845179621208, 0.023010113155366933, 0.023007213468828898, 0.023004959640367681, 0.023003219564592628, 0.023001899087718065, 0.023000931398967282, 0.02300027011644061, 0.022999884813973175, 0.022999758242752716, 0.02299982141039646, 0.023000012268237807, 0.02300033493820379, 0.0230007964848888, 0.023001407222277798, 0.02300218117409775, 0.023003136722823413, 0.023004297498926733, 0.023005693584862603, 0.023007363140891586, 0.023009354607348452, 0.023011729708574468, 0.023014567590661696, 0.023017970590161266, 0.023022072390535459, 0.023027049740189778, 0.023033139590911134, 0.023040664667921873, 0.023050072472498306, 0.02306199625162975, 0.023077352937192118, 0.023097505284169675, 0.02312453933621797, 0.023161756605967632, 0.023214580455376395, 0.023292285413495099, 0.023411373092628345, 0.023602015936704506, 0.023918043772271982, 0.024434643943593085, 0.025130170777060232, 0.02553518690160601, 0.025162567989496249, 0.024502019247181948, 0.024001272169911454, 0.023686312373570551, 0.023490692070569752, 0.023364990669125448, 0.023280720745344076, 0.023221922790044071, 0.02317943434251292, 0.023147794133460485, 0.02312361881089119, 0.023104735457352043, 0.023089702515564615, 0.023077535611804111, 0.023067545126352632, 0.023059236824949612, 0.023052249258456524, 0.023046313261759984, 0.023041225111018582, 0.023036828340321988, 0.023033001177596071, 0.02302964770516407, 0.023026691537535927, 0.023024071230929175, 0.023021736903752581, 0.023019647716718425, 0.023017769971710501, 0.023016075661787035, 0.023014541354050046, 0.023013147320855219, 0.023011876858224863, 0.023010715746746659, 0.023009651821907767, 0.02300867462919623, 0.023007775145388484, 0.023006945551904971, 0.02300617904942006, 0.023005469705378822, 0.023004812327931234, 0.023004202361203568, 0.023003635797904869, 0.023003109106095886, 0.023002619167591574, 0.02300216322597002, 0.023001738842555065, 0.023001343859051001, 0.023000976365755016, 0.023000634674471051, 0.023000317295406948, 0.023000022917465467, 0.022999750391443755, 0.022999498715741081, 0.022999267024244686, 0.022999054576121499, 0.022998860747292012, 0.022998685023402961, 0.022998526994150337, 0.022998386348833621, 0.022998262873048073, 0.02299815644644489, 0.022998067041509421, 0.022997994723326677, 0.022997939650321417, 0.022997902075977069, 0.022997882351555522, 0.022997880929856645, 0.022997898370075504, 0.022997935343834545, 0.022997992642489654, 0.022998071185833146, 0.02299817203234374, 0.022998296391164713, 0.022998445636027407, 0.022998621321379236, 0.022998825201024618, 0.022999059249645799, 0.022999325687639953, 0.022999627009792144, 0.022999966018403904, 0.023000345861617644, 0.023000770077824008, 0.023001242647217222, 0.023001768051782473, 0.02300235134526692, 0.023002998235017707, 0.023003715177980524, 0.023004509493664133, 0.023005389497516612, 0.023006364658964919, 0.023007445789389284, 0.0230086452666006, 0.023009977304048978, 0.023011458275128061, 0.023013107105707739, 0.023014945751639527, 0.023016999782722179, 0.023024780416140762, 0.023035957523647198, 0.023052508877744727, 0.023078019718550721, 0.023119497238860962, 0.023192064478906496, 0.02333314741591842, 0.023656125058088496, 0.024640559937145371, 0.030280735736804665, 0.082593910696651035, 0.028614593305790689, 0.024765086464167894, 0.023878675985077692, 0.023538654300424497, 0.023371590747380013, 0.023276598011320204, 0.023217152527518631, 0.023177380014210089, 0.023149458672407398, 0.023129168225554313, 0.02311407440963785, 0.023102705759324094, 0.023094150225184708, 0.023087847872087671, 0.02308348514345326, 0.023080950531488124, 0.023080339519497037, 0.023082019364277669, 0.023086799487929448, 0.023096338224021497, 0.023114174565489261, 0.023148718076673364, 0.023223906000761494, 0.023432144474691566, 0.024431933120018151, 0.048469248524002168, 0.024649674189473253, 0.023410733542676157, 0.023186876012581906, 0.023110211454777888, 0.023075100500698754, 0.023056022939989963, 0.023044392667115075, 0.023036678895389143, 0.023031217635493151, 0.023027142780876139, 0.023023967940561843, 0.023021403017512265, 0.023019266298250903, 0.023017439223708802, 0.023015841726238134, 0.023014418110936359, 0.023013128631980399, 0.023011944284408073, 0.023010843482272302, 0.023009809881098933, 0.02300883091527204, 0.02300789679394941, 0.02300699979804979, 0.023006133779153858, 0.023005293796442585, 0.023004475849671115, 0.023003676680036545, 0.023002893619758918, 0.023002124477094328, 0.023001367447449676, 0.023000621043955179, 0.022999884042704873, 0.022999155439171443, 0.022998434413219634, 0.02299772030079985, 0.022997012570879109, 0.022996310806514809, 0.022995614689232689, 0.022994923986061875, 0.022994238538722525, 0.022993558254569793, 0.022992883098979976, 0.022992213088927311, 0.022991548287548489, 0.022990888799529163, 0.022990234767175939, 0.02298958636706059, 0.022988943807140706, 0.022988307324276216, 0.022987677182072428, 0.02298705366898985, 0.022986437096669209, 0.022985827798426332, 0.02298522612787746, 0.022984632457660366, 0.02298404717822088, 0.022983470696638315, 0.0229829034354667, 0.022982345831571903, 0.022981798334947623, 0.022981261407495918, 0.022980735521760783, 0.022980221159605171, 0.02297971881082481, 0.022979228971693862, 0.02297875214343981, 0.022978288830647065, 0.022977839539590362, 0.022977404776501086, 0.022976985045771454, 0.022976580848102807, 0.02297619267860591, 0.022975821024862571, 0.022975466364959039, 0.022975129165502723, 0.02297480987963476, 0.022974508945051663, 0.022974226782049956, 0.022973963791608029, 0.022973720353519786, 0.022973496824594663, 0.022973293536938309, 0.02297311079632821, 0.022972948880697747, 0.022972808038741604, 0.022972688488654566, 0.022972590417014733, 0.022972513977821039, 0.022972459291693718, 0.022972426445244658, 0.022972415490623697, 0.022972422793920987, 0.022972444694798512, 0.022972481166237752, 0.022972532163289146, 0.022972597623192974, 0.022972677465546855, 0.022972771592517809, 0.022972879889096468, 0.022973002223390725, 0.022973138446955182, 0.022973288395152804, 0.022973451887544381, 0.022973628728301134, 0.022973818706635417, 0.022974021597244244, 0.022974237160759751, 0.022974465144200873, 0.022974705281419996, 0.022974957293538174, 0.02297522088936273, 0.022975495765780559, 0.022975781608120676, 0.022976078090479763, 0.022976384876004265, 0.022976701617123035, 0.022977027955724864, 0.022977363523275274, 0.022977707940867932, 0.022978060819206069, 0.02297842175851051, 0.022978790348351107, 0.022979166167399961, 0.02297954878310534, 0.022979937751286775, 0.02298033261565284, 0.022980732907245019, 0.022981138143812484, 0.022981547829124621, 0.022981961452230082, 0.022982378486673487, 0.022982798389683087, 0.022983220601345486, 0.022983644543785892, 0.02298406962037524, 0.022984495214988254, 0.022984920691339405, 0.022985345392426072, 0.022985768640111148, 0.022986189734879058, 0.022986607955801489, 0.022987022560750029, 0.022987432786893663, 0.022987837851519081, 0.022988236953210457, 0.022988629273422895, 0.022989013978480816, 0.022989390222027097, 0.022989757147942814, 0.022990113893749813, 0.022990459594498729, 0.022990793387135146, 0.022991114415324497, 0.022991421834704172, 0.022991714818518, 0.022991992563575384, 0.022992254296464641, 0.022992499279938523, 0.022992726819379534, 0.022992936269244917, 0.022993127039385781, 0.022993298601132257, 0.022993450493037804, 0.022993582326179943, 0.02299369378892242, 0.022993784651054484, 0.02299385476723606, 0.022993904079692859, 0.022993932620121671, 0.022993940510782546, 0.022993927964770958, 0.022993895285477919, 0.022993842865259372, 0.022993771183347261, 0.022993680803044057, 0.022993572368248758, 0.022993446599367827, 0.022993304288667381, 0.022993146295125187, 0.022992973538842876, 0.022992786995079402, 0.022992587687968705, 0.022992376683985599, 0.022992155085225837, 0.022991924022568003, 0.022991684648786707, 0.022991438131687469, 0.022991185647334132, 0.02299092837343894, 0.022990667482983132, 0.022990404138131929, 0.022990139484502958, 0.022989874645839768, 0.022989610719134301, 0.022989348770232634, 0.022989089829948611, 0.022988834890699465, 0.022988584903667286, 0.022988340776480355, 0.0229881033713988, 0.022987873503981154, 0.022987651942200829, 0.022987439405975564, 0.022987236567068504, 0.022987044049315893, 0.022986862429134308, 0.02298669223625964, 0.022986533954669628, 0.022986388023643202, 0.022986254838911362, 0.022986134753856913, 0.022986028080723038, 0.022985935091794189, 0.022985856020516313, 0.022985791062526927, 0.022985740376569821, 0.022985704085272594, 0.02298568227576973, 0.022985675000157319], [0.022554759869000598, 0.022554770468730327, 0.022554802259228617, 0.022554855214479339, 0.022554929291310723, 0.022555024429677814, 0.022555140553057598, 0.022555277568956273, 0.022555435369528132, 0.022555613832305518, 0.022555812821038683, 0.0225560321866447, 0.022556271768264014, 0.022556531394423072, 0.022556810884301282, 0.022557110049100135, 0.022557428693512217, 0.022557766617287409, 0.022558123616893206, 0.022558499487266129, 0.022558894023650487, 0.022559307023520651, 0.022559738288582817, 0.02256018762685175, 0.02256065485479776, 0.022561139799559052, 0.022561642301213866, 0.02256216221510705, 0.022562699414224702, 0.022563253791610574, 0.022563825262816931, 0.022564413768382124, 0.022565019276326318, 0.022565641784655296, 0.022566281323861542, 0.022566937959409481, 0.022567611794190191, 0.022568302970928017, 0.022569011674518691, 0.022569738134274559, 0.022570482626048514, 0.022571245474202636, 0.022572027053381689, 0.022572827790044575, 0.022573648163698782, 0.022574488707773878, 0.022575350010060037, 0.022576232712626931, 0.022577137511126229, 0.0225780651533697, 0.022579016437062512, 0.022579992206560474, 0.022580993348511071, 0.022582020786231585, 0.02258307547267677, 0.022584158381854499, 0.02258527049856298, 0.022586412806352908, 0.022587586273662974, 0.022588791838145682, 0.022590030389293934, 0.02259130274960507, 0.022592609654681368, 0.022593951732869353, 0.022595329485286735, 0.0225967432673762, 0.022598193273455362, 0.02259967952609386, 0.022601201872527333, 0.022602759990691473, 0.022604353407799167, 0.022605981534654377, 0.02260764371905799, 0.022609339321674929, 0.022611067817567821, 0.022612828926245474, 0.022614622772539058, 0.022616450079959625, 0.022618312397510203, 0.022620212360384879, 0.022622153984800442, 0.02262414299763758, 0.022626187202917595, 0.022628296889729269, 0.022630485290388542, 0.022632769103729716, 0.02263516910693961, 0.022637710890873908, 0.022640425769290894, 0.022643351933442211, 0.022646535952493708, 0.022650034761426321, 0.022653918338099134, 0.022658273361038626, 0.022663208277486642, 0.022668860428106945, 0.022675406223815111, 0.022683075946211002, 0.022692175719716538, 0.022703120910020257, 0.022716488288048536, 0.02273310009270715, 0.02275416449679021, 0.022781520452215265, 0.022818086265520298, 0.022868731721522706, 0.022942100172502977, 0.023054768323182619, 0.023241860174879083, 0.023588229632186195, 0.024337288620487479, 0.026322073740197072, 0.031091738638781403, 0.028832022018436505, 0.024814015172927702, 0.023530201663071255, 0.023061996272184547, 0.022853275898134282, 0.022746041750079764, 0.022685250241268086, 0.022648288589286622, 0.022624652547675077, 0.022608990035364211, 0.022598375560306104, 0.022591123741797142, 0.022586228410239668, 0.022583080144703283, 0.022581317900540826, 0.022580750448034006, 0.022580845555295499, 0.0225811345284847, 0.022581628596123865, 0.022582347421503883, 0.02258332065457332, 0.022584590387126728, 0.022586214862069676, 0.022588274007477753, 0.02259087772444807, 0.022594178463736559, 0.022598390686843779, 0.022603821729381256, 0.022610922200889824, 0.022620371147428125, 0.022633225776716174, 0.022651197119199908, 0.022677185639347567, 0.022716389670366342, 0.022778774071303552, 0.022885043092497913, 0.02308231590706003, 0.02348607992749497, 0.024346831025358118, 0.025542126519166007, 0.02516672374154225, 0.024034471809805849, 0.023399613498798197, 0.023088147779291066, 0.022922706067300725, 0.022826331101541777, 0.022765727304329287, 0.022725244674379103, 0.022696879090468202, 0.022676227587871082, 0.022660716254470761, 0.022648762150209268, 0.02263934943805718, 0.022631802262578018, 0.022625656862987089, 0.022620586414371358, 0.022616355184570842, 0.022612789648271611, 0.022609759757298183, 0.022607166484096351, 0.022604933347734155, 0.022603000531060336, 0.022601320721454838, 0.02259985612126502, 0.022598576266619912, 0.022597456414304887, 0.02259647633398465, 0.022595619393796958, 0.022594871861096905, 0.022594222362957782, 0.022593661466706414, 0.022593181351681004, 0.02259277555109851, 0.022592438748419087, 0.022592166616575367, 0.022591955691348274, 0.022591803272332713, 0.022591707346561844, 0.022591666531098717, 0.022591680031869867, 0.022591747616782436, 0.022591869601796467, 0.022592046849158096, 0.02259228077747549, 0.022592573383765059, 0.022592927278037373, 0.022593345731455394, 0.022593832739608154, 0.022594393103029558, 0.022595032527789844, 0.022595757749838335, 0.02259657668783592, 0.022597498630556524, 0.022598534466652359, 0.022599696966800635, 0.022601001131153573, 0.022602464618844582, 0.02260410828140216, 0.022605956828768495, 0.022608039665895738, 0.02261039195058227, 0.022613055940744618, 0.022616082723804557, 0.022619534455447444, 0.022623487284428426, 0.022628035211654386, 0.022633295236805854, 0.022639414302276211, 0.022646578781218906, 0.022655027621767711, 0.022665070833308168, 0.022677115921151503, 0.022691706386890845, 0.022709578955679977, 0.022731750597512233, 0.022759654284169522, 0.022795357005198982, 0.022841921672534408, 0.022904031256414079, 0.022989114131849658, 0.023109482491676017, 0.023286659293443299, 0.023560828857731839, 0.024013526862558435, 0.024829014668523743, 0.026487354355533926, 0.03049034281461066, 0.042250618119728071, 0.064809212882764075, 0.048085032179589114, 0.033512001781140562, 0.028315226393477822, 0.026130843686016602, 0.025037275331714605, 0.024418015652802959, 0.024036092062046013, 0.023786134716199839, 0.023615853556878601, 0.023497066436251702, 0.023413628902242797, 0.023355903875497009, 0.023318036549375167, 0.023296543608894434, 0.023289573052449601, 0.02329654360889442, 0.023318036549374917, 0.023355903875497075, 0.023413628902242856, 0.023497066436251688, 0.02361585355687796, 0.023786134716200009, 0.024036092062046276, 0.024418015652804111, 0.025037275331715948, 0.026130843686013181, 0.028315226393477819, 0.033512001781129765, 0.048085032179576513, 0.064809212882772957, 0.042250618119719953, 0.030490342814614976, 0.026487354355535023, 0.024829014668523147, 0.024013526862558216, 0.02356082885773169, 0.023286659293443184, 0.023109482491675958, 0.022989114131849703, 0.022904031256414034, 0.022841921672534377, 0.022795357005198958, 0.022759654284169515, 0.022731750597512236, 0.022709578955679977, 0.022691706386890841, 0.022677115921151503, 0.022665070833308168, 0.022655027621767718, 0.02264657878121891, 0.022639414302276211, 0.022633295236805854, 0.022628035211654386, 0.022623487284428433, 0.022619534455447447, 0.022616082723804571, 0.022613055940744621, 0.02261039195058227, 0.022608039665895741, 0.022605956828768505, 0.022604108281402163, 0.022602464618844579, 0.022601001131153573, 0.022599696966800635, 0.022598534466652359, 0.022597498630556524, 0.022596576687835917, 0.022595757749838335, 0.022595032527789851, 0.022594393103029554, 0.022593832739608154, 0.022593345731455401, 0.022592927278037373, 0.022592573383765059, 0.022592280777475486, 0.022592046849158096, 0.022591869601796467, 0.02259174761678243, 0.022591680031869864, 0.02259166653109872, 0.022591707346561834, 0.022591803272332713, 0.022591955691348274, 0.022592166616575364, 0.022592438748419083, 0.02259277555109851, 0.022593181351681008, 0.022593661466706407, 0.022594222362957786, 0.022594871861096905, 0.022595619393796965, 0.022596476333984646, 0.022597456414304891, 0.022598576266619905, 0.02259985612126502, 0.022601320721454838, 0.022603000531060329, 0.022604933347734151, 0.022607166484096348, 0.022609759757298183, 0.022612789648271618, 0.022616355184570849, 0.022620586414371369, 0.022625656862987079, 0.022631802262578021, 0.022639349438057156, 0.02264876215020923, 0.022660716254470744, 0.022676227587871068, 0.022696879090468219, 0.02272524467437911, 0.022765727304329172, 0.022826331101541867, 0.022922706067300416, 0.023088147779290878, 0.023399613498798023, 0.024034471809803833, 0.025166723741538929, 0.025542126519166604, 0.024346831025356373, 0.023486079927494328, 0.023082315907059142, 0.022885043092497975, 0.022778774071303291, 0.02271638967036621, 0.022677185639347484, 0.022651197119199919, 0.02263322577671615, 0.022620371147428115, 0.022610922200889824, 0.022603821729381256, 0.022598390686843779, 0.022594178463736552, 0.022590877724448077, 0.022588274007477753, 0.022586214862069673, 0.022584590387126735, 0.022583320654573316, 0.022582347421503886, 0.022581628596123865, 0.022581134528484707, 0.022580845555295499, 0.022580750448034006, 0.022580797924302877, 0.022580941236825684, 0.022581183069195859, 0.02258152800422563, 0.02258198269639395, 0.022582556128403965, 0.022583259968719759, 0.022584109054522648, 0.022585122034680525, 0.022586322221329395, 0.022587738718416434, 0.022589407923925029, 0.022591375543955228, 0.022593699318411063, 0.022596452751077929, 0.022599730279936447, 0.022603654547754551, 0.022608386791548887, 0.022614141955694868, 0.022621211115046426, 0.022629995481602452, 0.022641059252122248, 0.022655213997939606, 0.022673657571316078, 0.02269821060520948, 0.022731734543427563, 0.022778901358198336, 0.022847672739111712, 0.022952257610036244, 0.023119149458890889, 0.023398797658565413, 0.023879873064730894, 0.024641709513600681, 0.025379914315821279, 0.025236781392317314, 0.024448187302953148, 0.023787892248571103, 0.023380190766939996, 0.023136344610650308, 0.022985022791316159, 0.022886439246848553, 0.022819218883261518, 0.022771539189783512, 0.02273656949151838, 0.022710185699605125, 0.022689795297408704, 0.022673709010954481, 0.02266079078620695, 0.022650255096226347, 0.022641545325559006, 0.02263425842474721, 0.022628096866296864, 0.022622837205459649, 0.022618309021324213, 0.022614380510590972, 0.022610948442453128, 0.022607931031754, 0.022605262801923938, 0.022602890828115573, 0.022600771952916526, 0.022598870697421811, 0.022597157676171053, 0.022595608381748337, 0.022594202243727428, 0.022592921893415826, 0.022591752584528606, 0.022590681733116649, 0.022589698549502393, 0.022588793741788259, 0.02258795927547453, 0.022587188177387189, 0.02258647437484082, 0.022585812563004931, 0.022585198094987172, 0.022584626890323815, 0.022584095358471796, 0.022583600334594389, 0.022583139025475943, 0.022582708963826796, 0.022582307969573744, 0.022581934116997958, 0.022581585706792834, 0.022581261242284743, 0.022580959409196071, 0.022580679058440852, 0.022580419191533838, 0.022580178948268477, 0.022579957596380131, 0.02257975452296275, 0.022579569227449792, 0.022579401316007143, 0.022579250497217034, 0.022579116578959748, 0.022578999466423881, 0.022578899161198762, 0.022578815761422365, 0.02257874946297838, 0.022578700561754535, 0.022578669456993935, 0.022578656655790799, 0.022578662778802716, 0.022578688567274845, 0.022578734891495665, 0.022578802760832944, 0.022578893335529881, 0.022579007940479099, 0.022579148081234374, 0.022579315462571567, 0.022579512009969136, 0.022579739894450314, 0.022580001561314005, 0.022580299763383768, 0.022580637599528129, 0.022581018559355261, 0.022581446575168512, 0.022581926082492734, 0.022582462090757382, 0.022583060266062552, 0.022583727028376431, 0.022584469666039938, 0.022585296471114163, 0.02258621689993821, 0.022587241764318557, 0.022588383460112445, 0.022589656241686826, 0.022591076552949403, 0.022592663428522831, 0.022594438982386812, 0.022601178617067341, 0.022610865896878007, 0.022625173638907394, 0.022647086677490491, 0.022682316835981899, 0.022742838929215657, 0.022857076728247532, 0.02310575742128973, 0.023793834368506381, 0.026894172791698697, 0.073954350920776346, 0.032031149308417758, 0.024917352005918759, 0.023648862071887544, 0.023209519895445209, 0.023004987141274243, 0.022892462155509479, 0.022823582030782399, 0.022778216301206917, 0.022746742050756611, 0.022724081857711357, 0.022707356541468625, 0.022694848818860226, 0.022685505810701116, 0.022678687417804107, 0.022674039562340226, 0.022671441696599563, 0.022671013417770655, 0.022673193364490928, 0.022678948026156769, 0.022690278132301997, 0.022711534897732904, 0.022753373957306144, 0.022847650802695033, 0.023128918094906119, 0.024794298292843731, 0.041739495831981221, 0.023704137879332551, 0.022917025122808084, 0.022745157662008186, 0.022681893892993844, 0.022651820931676711, 0.022635110834105018, 0.022624771164459163, 0.02261783965756611, 0.02261289171592443, 0.022609175051238242, 0.022606262660052882, 0.022603897792057171, 0.022601918599981338, 0.0226002189475028, 0.022598726852800878, 0.022597392062590982, 0.022596178596872941, 0.022595060118551891, 0.022594016969261395, 0.02259303422046997, 0.022592100361276717, 0.022591206395825965, 0.022590345210370476, 0.022589511121556029, 0.02258869954880878, 0.022587906773179272, 0.022587129757370251, 0.022586366009694388, 0.022585613479998469, 0.022584870479140096, 0.022584135616021239, 0.022583407747853557, 0.02258268594050029, 0.022581969436568969, 0.022581257629523222, 0.022580550042512689, 0.022579846310934636, 0.02257914616797338, 0.022578449432535896, 0.022577755999131522, 0.022577065829341169, 0.022576378944594841, 0.022575695420033411, 0.022575015379272912, 0.022574338989923535, 0.022573666459740984, 0.022572998033308117, 0.022572333989160559, 0.022571674637282636, 0.022571020316910037, 0.022570371394583667, 0.022569728262406268, 0.022569091336458593, 0.022568461055337302, 0.022567837878780434, 0.022567222286350608, 0.022566614776148977, 0.022566015863536581, 0.022565426079842247, 0.022564845971039076, 0.02256427609637451, 0.022563717026940752, 0.022563169344175665, 0.022562633638285826, 0.022562110506586384, 0.022561600551754223, 0.022561104379993306, 0.022560622599113161, 0.02256015581652358, 0.022559704637150704, 0.022559269661281297, 0.022558851482344121, 0.02255845068463893, 0.022558067841025136, 0.022557703510583567, 0.02255735823626627, 0.022557032542549964, 0.022556726933110092, 0.022556441888532737, 0.022556177864082205, 0.022555935287542538, 0.02255571455715067, 0.02255551603963931, 0.022555340068406475, 0.022555186941828297, 0.022555056921730526, 0.022554950232032942, 0.022554867057579416, 0.022554807543164867, 0.022554771792768508, 0.022554759869000598, 0.022554767818444191, 0.022554791656010719, 0.02255483134943739, 0.022554886845052777, 0.022554958067925235, 0.022555044922068675, 0.022555147290703317, 0.02255526503656851, 0.022555398002284278, 0.022555546010757769, 0.022555708865629857, 0.022555886351757124, 0.022556078235723687, 0.022556284266377111, 0.022556504175381957, 0.022556737677784874, 0.022556984472583856, 0.022557244243295211, 0.022557516658510676, 0.022557801372437705, 0.022558098025415446, 0.022558406244399386, 0.022558725643407416, 0.022559055823920544, 0.022559396375231557, 0.022559746874735481, 0.022560106888156066, 0.022560475969703109, 0.022560853662156089, 0.022561239496870517, 0.022561632993704162, 0.022562033660861423, 0.022562440994655521, 0.022562854479189196, 0.022563273585956452, 0.022563697773369314, 0.022564126486215717, 0.022564559155056393, 0.02256499519557105, 0.022565434007866463, 0.022565874975761579, 0.022566317466067659, 0.022566760827883933, 0.022567204391932359, 0.022567647469958027, 0.022568089354224316, 0.022568529317134971, 0.022568966611017458, 0.022569400468104399, 0.022569830100751379, 0.022570254701930737, 0.022570673446040964, 0.022571085490071231, 0.022571489975158319, 0.022571886028570916, 0.022572272766151404, 0.022572649295239847, 0.022573014718097414, 0.022573368135837345, 0.022573708652861346, 0.022574035381787112, 0.022574347448839689, 0.022574643999665529, 0.022574924205512978, 0.022575187269709553, 0.02257543243435128, 0.02257565898710788, 0.022575866268036086, 0.02257605367628579, 0.022576220676578312, 0.022576366805335087, 0.02257649167633707, 0.022576594985802129, 0.02257667651677794, 0.022576736142761806, 0.022576773830476144, 0.022576789641747409, 0.022576783734456901, 0.022576756362553171, 0.022576707875135514, 0.022576638714637654, 0.022576549414156766, 0.022576440593986901, 0.022576312957426604, 0.022576167285937983, 0.022576004433739076, 0.022575825321913011, 0.022575630932117889, 0.022575422299979043, 0.022575200508243225, 0.022574966679770964, 0.022574721970440217, 0.022574467562031492, 0.022574204655161613, 0.02257393446233074, 0.022573658201144296, 0.022573377087768656, 0.022573092330675795, 0.022572805124728063, 0.022572516645648962, 0.022572228044920373, 0.022571940445139396, 0.02257165493586075, 0.022571372569942356, 0.022571094360403419, 0.02257082127779559, 0.022570554248079331, 0.022570294150990076, 0.022570041818870911, 0.022569798035942612, 0.022569563537976164, 0.022569339012328674, 0.022569125098300287, 0.022568922387767788, 0.022568731426049048, 0.022568552712952945, 0.022568386703969538, 0.022568233811556909, 0.022568094406483441, 0.022567968819186272, 0.022567857341109974, 0.022567760225992606, 0.022567677691069592, 0.022567609918169335, 0.022567557054678077, 0.022567519214355077, 0.022567496477982483, 0.022567488893838115], [0.022130946738766505, 0.022130958167046442, 0.02213099244155459, 0.022131049531360997, 0.022131129385132231, 0.022131231931455601, 0.022131357079292233, 0.022131504718557803, 0.022131674720829886, 0.022131866940180243, 0.022132081214130201, 0.022132317364727074, 0.02213257519973889, 0.022132854513964885, 0.022133155090658337, 0.022133476703058444, 0.022133819116027329, 0.022134182087788098, 0.022134565371759413, 0.022134968718481911, 0.022135391877631413, 0.022135834600113525, 0.02213629664023424, 0.022136777757940557, 0.022137277721125153, 0.022137796307988778, 0.022138333309453792, 0.022138888531622089, 0.02213946179827004, 0.022140052953373068, 0.022140661863651549, 0.022141288421129432, 0.022141932545695908, 0.022142594187659657, 0.022143273330283621, 0.022143969992287019, 0.022144684230298865, 0.022145416141245336, 0.022146165864649913, 0.022146933584821917, 0.022147719532904911, 0.02214852398875132, 0.022149347282583984, 0.02215018979639885, 0.022151051965055547, 0.022151934276994252, 0.022152837274508379, 0.022153761553492905, 0.02215470776257808, 0.022155676601548428, 0.022156668818937381, 0.022157685208680049, 0.022158726605700702, 0.022159793880310266, 0.022160887931292662, 0.022162009677570666, 0.022163160048364799, 0.022164339971794754, 0.022165550361927751, 0.022166792104354155, 0.022168066040474169, 0.022169372950813709, 0.022170713537857593, 0.022172088409096735, 0.022173498061235603, 0.022174942866794202, 0.022176423064662616, 0.022177938756514162, 0.022179489911342509, 0.022181076380736079, 0.022182697927813522, 0.022184354272985908, 0.022186045159850624, 0.022187770444530429, 0.022189530211629258, 0.022191324919684643, 0.022193155578586084, 0.02219502396097044, 0.022196932849220696, 0.022198886319559994, 0.022200890065082357, 0.022202951760680819, 0.022205081475056895, 0.022207292138698959, 0.022209600082336516, 0.022212025668436868, 0.022214594049513359, 0.022217336102381819, 0.022220289608623805, 0.022223500780938488, 0.022227026276918284, 0.022230935902803624, 0.022235316301031007, 0.022240276055313788, 0.022245952866808742, 0.022252523808755052, 0.022260220251210487, 0.022269350039104262, 0.022280331241835778, 0.022293744933989879, 0.022310420378959386, 0.022331577617917844, 0.022359076543660775, 0.022395874429916265, 0.022446918489365218, 0.022521019138495094, 0.022635153917151915, 0.02282555414778932, 0.023180787457066278, 0.023960656840836033, 0.026101881276157007, 0.03167990395716782, 0.02887908384205384, 0.024445833707065916, 0.023118945101565241, 0.022643915193868821, 0.022433399214389135, 0.022325433677169212, 0.022264218815994514, 0.022226942836977962, 0.022203031435879095, 0.022187098958368023, 0.022176197550075782, 0.022168621893176366, 0.022163344062625559, 0.022159727887232087, 0.022157377086183063, 0.022156051957966685, 0.022155623778889487, 0.022155697476745735, 0.022155921075975551, 0.022156302260166655, 0.0221568544093044, 0.02215759752927212, 0.022158559702393651, 0.02215977923997893, 0.022161307823930262, 0.022163215090702022, 0.022165595380726596, 0.022168577828171439, 0.022172341745714835, 0.022177140649284728, 0.022183340835190284, 0.022191485353712882, 0.022202404125229717, 0.022217411854122716, 0.022238682166119295, 0.022269998155522757, 0.022318367485545498, 0.022397796843000067, 0.022538976741221909, 0.022816410918775017, 0.023422697509062288, 0.024699833796697213, 0.025598683297092816, 0.024359086337602406, 0.023316985688957167, 0.02282486311062637, 0.022583178180230451, 0.022451197219969878, 0.022372179338288938, 0.022321337928538094, 0.022286739063178192, 0.02226212796387475, 0.022243987850114912, 0.022230223633240821, 0.02221952579590818, 0.022211042190305286, 0.022204199016506224, 0.022198598416764029, 0.022193957446912955, 0.022190070389347286, 0.022186784744156925, 0.022183985508433052, 0.022181584628759569, 0.022179513769019485, 0.022177719253767245, 0.022176158470042753, 0.022174797265987548, 0.022173608042867565, 0.022172568337310062, 0.022171659755308205, 0.022170867162162895, 0.022170178061066272, 0.022169582112440234, 0.022169070759543552, 0.022168636935238965, 0.022168274831464045, 0.022167979717726754, 0.022167747798421705, 0.022167576101322788, 0.022167462391519281, 0.022167405106512078, 0.02216740330930515, 0.022167456657211034, 0.022167565384805916, 0.0221677303000739, 0.022167952793311189, 0.022168234858853563, 0.02216857913017398, 0.02216898892939961, 0.022169468332847438, 0.022170022254806656, 0.022170656552542068, 0.022171378156400797, 0.022172195230034785, 0.022173117367179775, 0.022174155833260822, 0.022175323862463299, 0.022176637024005651, 0.022178113675437768, 0.022179775526230565, 0.022181648342232609, 0.022183762831479228, 0.022186155765400631, 0.022188871408220675, 0.022191963353520378, 0.022195496903925031, 0.022199552182743644, 0.022204228242939869, 0.022209648551187081, 0.022215968392181609, 0.022223384991857446, 0.022232151548623909, 0.022242596974805982, 0.022255154133152922, 0.022270400964737796, 0.022289121614399596, 0.022312399345590834, 0.022341761394871717, 0.022379411356028882, 0.022428614353511758, 0.022494359905270874, 0.022584553631541476, 0.022712272812415037, 0.02290030562203382, 0.023190990676465628, 0.023669587183254695, 0.024526483252647047, 0.026248005624645389, 0.03030336446982607, 0.041670869919380599, 0.063760746724323497, 0.050626324571681106, 0.034908977521254797, 0.028924140889021146, 0.026375562554771352, 0.025096637102906365, 0.024373052135281625, 0.023928151765317537, 0.023638690051382361, 0.023443556456931577, 0.02330993595081518, 0.023219197387882463, 0.023160445116006075, 0.023127373845162048, 0.023116691432186483, 0.023127373845162037, 0.023160445116005714, 0.023219197387882581, 0.023309935950815267, 0.023443556456931556, 0.023638690051381295, 0.023928151765317884, 0.024373052135282007, 0.025096637102908582, 0.026375562554773961, 0.028924140889012632, 0.034908977521254686, 0.050626324571653565, 0.063760746724331144, 0.041670869919397585, 0.03030336446982319, 0.026248005624647103, 0.024526483252647613, 0.023669587183254397, 0.023190990676465496, 0.022900305622033712, 0.022712272812414964, 0.022584553631541441, 0.022494359905270895, 0.022428614353511723, 0.022379411356028868, 0.022341761394871693, 0.022312399345590823, 0.022289121614399599, 0.022270400964737789, 0.022255154133152918, 0.022242596974805986, 0.022232151548623902, 0.022223384991857446, 0.022215968392181609, 0.022209648551187094, 0.022204228242939869, 0.022199552182743641, 0.022195496903925034, 0.022191963353520378, 0.022188871408220682, 0.022186155765400634, 0.022183762831479225, 0.022181648342232609, 0.022179775526230561, 0.022178113675437768, 0.022176637024005647, 0.022175323862463292, 0.022174155833260822, 0.022173117367179775, 0.022172195230034785, 0.022171378156400794, 0.022170656552542068, 0.022170022254806656, 0.022169468332847438, 0.022168988929399613, 0.022168579130173977, 0.02216823485885356, 0.022167952793311189, 0.022167730300073893, 0.02216756538480591, 0.022167456657211038, 0.022167403309305146, 0.022167405106512071, 0.022167462391519281, 0.022167576101322785, 0.022167747798421705, 0.022167979717726754, 0.022168274831464035, 0.022168636935238968, 0.022169070759543552, 0.022169582112440241, 0.022170178061066272, 0.022170867162162905, 0.022171659755308198, 0.022172568337310062, 0.022173608042867568, 0.022174797265987548, 0.022176158470042742, 0.022177719253767249, 0.022179513769019492, 0.022181584628759566, 0.022183985508433052, 0.022186784744156918, 0.022190070389347286, 0.022193957446912951, 0.022198598416764029, 0.022204199016506238, 0.022211042190305265, 0.022219525795908183, 0.022230223633240776, 0.022243987850114857, 0.022262127963874726, 0.022286739063178174, 0.022321337928538125, 0.022372179338288955, 0.022451197219969667, 0.022583178180230663, 0.022824863110625617, 0.023316985688956592, 0.024359086337601747, 0.025598683297091598, 0.024699833796700408, 0.023422697509063159, 0.022816410918774462, 0.022538976741221756, 0.022397796842999751, 0.022318367485545533, 0.022269998155522639, 0.022238682166119239, 0.022217411854122675, 0.022202404125229721, 0.022191485353712868, 0.022183340835190281, 0.022177140649284721, 0.022172341745714839, 0.022168577828171446, 0.022165595380726592, 0.022163215090702026, 0.022161307823930259, 0.02215977923997893, 0.022158559702393648, 0.022157597529272113, 0.022156854409304393, 0.022156302260166658, 0.022155921075975554, 0.022155697476745728, 0.02215562377888949, 0.022155660574559196, 0.022155771566982292, 0.022155958592049899, 0.022156224776154025, 0.022156574639902425, 0.022157014251361962, 0.022157551437690083, 0.022158196067823002, 0.022158960423870042, 0.022159859685555824, 0.022160912561236784, 0.022162142111846299, 0.022163576832321546, 0.022165252081269512, 0.022167211987929404, 0.022169512022333689, 0.022172222500319583, 0.022175433426656722, 0.022179261285369151, 0.022183858714743151, 0.022189428540205822, 0.022196244533288046, 0.02220468280009627, 0.022215270413028704, 0.022228762838261158, 0.022246271029218789, 0.022269477315008529, 0.022301016486162312, 0.022345177895590276, 0.022409260735436136, 0.022506318237840012, 0.022660939495084572, 0.02292142484867396, 0.023381045378097279, 0.024170405547041456, 0.025134439567136065, 0.025230752927221638, 0.024341109618895126, 0.023530860260468838, 0.023040857914522546, 0.022757301380635302, 0.022586212202713538, 0.022477164600005983, 0.022404060574145741, 0.022352895489096216, 0.022315769386075462, 0.02228800285372445, 0.022266699453462185, 0.022249995760632753, 0.022236651869229473, 0.022225818139748249, 0.022216897166518697, 0.022209459256459126, 0.022203189072939201, 0.022197851023422668, 0.022193266251390693, 0.022189297002446533, 0.022185835788357054, 0.022182797740317728, 0.022180115123775362, 0.022177733344546906, 0.022175608000685628, 0.022173702678706237, 0.022171987286992021, 0.022170436781839713, 0.02216903018389902, 0.022167749811757963, 0.022166580679569472, 0.022165510019791099, 0.022164526902204884, 0.022163621927653376, 0.022162786980217727, 0.022162015025450017, 0.022161299945154915, 0.022160636401371669, 0.022160019723834738, 0.022159445816427217, 0.022158911079088843, 0.022158412342370565, 0.022157946812395, 0.022157512024425403, 0.022157105803594396, 0.022156726231619617, 0.022156371618553251, 0.022156040478787657, 0.022155731510681446, 0.022155443579284999, 0.022155175701737459, 0.022154927034984763, 0.022154696865531214, 0.022154484600990332, 0.022154289763245159, 0.022154111983066417, 0.02215395099606943, 0.022153806639919827, 0.022153678852723298, 0.022153567672558886, 0.022153473238136566, 0.022153395790581586, 0.02215333567636887, 0.022153293351452066, 0.022153269386654122, 0.022153264474410385, 0.022153279436981133, 0.02215331523627994, 0.022153372985497181, 0.022153453962736335, 0.022153559626924734, 0.022153691636312537, 0.022153851869934744, 0.022154042452484198, 0.022154265783130584, 0.022154524568925336, 0.022154821863559215, 0.022155161112393067, 0.02215554620487032, 0.022155981535649384, 0.022156472076077863, 0.022157023457980016, 0.02215764207216445, 0.022158335184601335, 0.022159111073900332, 0.022159979194578589, 0.022160950371697741, 0.022162037033837203, 0.022163253493151618, 0.022164616283559285, 0.022166144571092943, 0.022171964890101811, 0.022180348594562454, 0.022192715894379364, 0.022211563950387054, 0.022241579081954094, 0.022292328818862971, 0.022385685051919318, 0.022580341187711683, 0.023077892197152606, 0.024951505165201358, 0.043883400754412563, 0.040613456190291324, 0.025380981623471216, 0.023475311553502728, 0.022894724404433287, 0.022641126570135502, 0.02250677393746103, 0.022426541262874355, 0.022374608305330744, 0.022339038679245596, 0.022313685914172481, 0.022295128252505517, 0.022281353852608661, 0.022271143419220773, 0.022263763222114118, 0.022258812471232747, 0.022256160915517856, 0.022255957621129686, 0.022258727450589363, 0.022265628271438572, 0.022279085588851409, 0.022304486641182484, 0.022355474551457966, 0.022475170034368313, 0.022866154226647648, 0.025942139086051544, 0.030310312884541019, 0.022966501042025519, 0.022436070056707374, 0.022301644654921134, 0.022248994120228759, 0.022223117445398326, 0.022208440703860726, 0.022199232215528726, 0.02219299616842792, 0.022188509386496105, 0.022185117112490365, 0.022182443934763946, 0.02218026237913787, 0.022178428183504843, 0.022176846279353065, 0.022175451925705705, 0.022174199761844739, 0.022173057204162266, 0.022172000327334521, 0.022171011218444253, 0.022170076232490486, 0.022169184815177507, 0.022168328691742411, 0.022167501297324921, 0.022166697369986943, 0.022165912655289003, 0.022165143688674636, 0.022164387632963939, 0.022163642155435582, 0.022162905333722616, 0.022162175582936653, 0.022161451598611867, 0.022160732311565873, 0.022160016851830545, 0.022159304519554657, 0.02215859476131778, 0.022157887150683953, 0.022157181372108804, 0.022156477207523353, 0.022155774525074199, 0.02215507326961598, 0.022154373454640136, 0.022153675155389997, 0.022152978502962623, 0.022152283679236457, 0.022151590912492924, 0.022150900473622989, 0.022150212672827161, 0.022149527856731018, 0.022148846405849344, 0.022148168732340164, 0.022147495277997253, 0.022146826512435321, 0.022146162931426582, 0.022145505055351969, 0.022144853427733639, 0.022144208613818581, 0.022143571199186432, 0.02214294178835715, 0.022142321003377027, 0.022141709482364137, 0.022141107877996703, 0.02214051685593062, 0.022139937093134464, 0.022139369276133299, 0.022138814099154462, 0.02213827226217133, 0.022137744468843409, 0.022137231424353216, 0.022136733833143067, 0.022136252396557143, 0.022135787810396188, 0.022135340762394505, 0.022134911929631088, 0.022134501975888374, 0.022134111548973941, 0.022133741278022253, 0.022133391770794566, 0.022133063610996758, 0.022132757355635243, 0.022132473532432171, 0.02213221263732142, 0.02213197513204674, 0.02213176144188345, 0.022131571953504434, 0.022131407013010425, 0.022131266924143179, 0.022131151946699047, 0.022131062295158495, 0.022130998137545391, 0.022130959594527336, 0.022130946738766505, 0.022130955309585098, 0.022130981009594097, 0.022131023801488538, 0.022131083623211187, 0.022131160388127676, 0.022131253985269266, 0.022131364279640492, 0.022131491112588553, 0.022131634302230575, 0.022131793643934076, 0.022131968910845682, 0.022132159854462253, 0.022132366205238369, 0.022132587673223458, 0.022132823948721538, 0.022133074702966295, 0.022133339588803678, 0.022133618241374331, 0.022133910278787836, 0.022134215302780692, 0.022134532899349864, 0.022134862639354297, 0.022135204079076324, 0.022135556760735607, 0.022135920212948426, 0.022136293951125825, 0.022136677477804196, 0.022137070282903251, 0.022137471843906364, 0.022137881625960008, 0.022138299081889204, 0.022138723652127927, 0.022139154764564038, 0.022139591834300473, 0.022140034263335519, 0.022140481440167292, 0.022140932739329398, 0.022141387520866956, 0.02214184512976455, 0.022142304895340439, 0.022142766130623701, 0.022143228131734291, 0.02214369017728865, 0.022144151527856471, 0.022144611425497597, 0.022145069093410633, 0.022145523735727743, 0.02214597453749264, 0.022146420664860906, 0.022146861265563349, 0.022147295469673978, 0.022147722390724198, 0.022148141127204007, 0.022148550764488639, 0.0221489503772253, 0.022149339032210318, 0.022149715791779143, 0.0221500797177243, 0.022150429875745482, 0.022150765340424379, 0.02215108520070351, 0.022151388565833648, 0.022151674571738809, 0.022151942387732132, 0.022152191223499863, 0.022152420336255797, 0.022152629037955011, 0.022152816702444685, 0.022152982772421326, 0.022153126766059197, 0.022153248283174585, 0.022153347010794199, 0.022153422728005093, 0.022153475309976679, 0.022153504731062583, 0.022153511066911265, 0.022153494495537423, 0.022153455297331381, 0.022153393854008947, 0.022153310646528392, 0.022153206252024386, 0.02215308133982781, 0.022152936666656825, 0.022152773071076826, 0.022152591467334632, 0.022152392838676729, 0.02215217823026128, 0.022151948741771996, 0.022151705519835977, 0.022151449750342306, 0.022151182650750098, 0.02215090546246723, 0.022150619443373137, 0.022150325860552027, 0.02215002598329548, 0.022149721076427244, 0.022149412393996818, 0.022149101173382136, 0.022148788629836238, 0.022148475951506069, 0.022148164294945646, 0.022147854781139096, 0.022147548492042087, 0.022147246467643461, 0.022146949703541467, 0.02214665914902271, 0.022146375705624756, 0.022146100226158018, 0.022145833514156516, 0.022145576323723215, 0.02214532935973141, 0.022145093278341244, 0.022144868687788272, 0.022144656149400394, 0.022144456178798913, 0.02214426924724067, 0.022144095783058901, 0.022143936173162702, 0.022143790764557417, 0.022143659865850231, 0.022143543748709069, 0.022143442649245296, 0.0221433567692941, 0.022143286277569656, 0.022143231310675453, 0.022143191973953168, 0.022143168342156593, 0.022143160459940452], [0.021717705453378287, 0.021717717821408442, 0.021717754913331753, 0.021717816692721142, 0.021717903099112687, 0.02171801404837647, 0.021718149433234465, 0.021718309123923394, 0.021718492969000882, 0.021718700796292272, 0.021718932413975135, 0.021719187611798214, 0.021719466162430805, 0.021719767822938538, 0.021720092336380708, 0.021720439433524225, 0.021720808834668721, 0.021721200251577026, 0.021721613389504825, 0.021722047949323288, 0.02172250362972768, 0.021722980129525341, 0.021723477149995566, 0.021723994397314258, 0.021724531585035716, 0.021725088436623751, 0.021725664688024223, 0.021726260090270982, 0.021726874412116449, 0.021727507442678446, 0.021728158994093662, 0.021728828904168287, 0.021729517039015, 0.02173022329566502, 0.021730947604642326, 0.021731689932485913, 0.021732450284203862, 0.021733228705640786, 0.021734025285737351, 0.021734840158657183, 0.021735673505752631, 0.021736525557335972, 0.021737396594217626, 0.021738286948966561, 0.02173919700684173, 0.021740127206335377, 0.021741078039261893, 0.021742050050316906, 0.02174304383602349, 0.021744060042974554, 0.02174509936527342, 0.021746162541070348, 0.02174725034809083, 0.021748363598054616, 0.021749503129894161, 0.021750669801699315, 0.021751864481345341, 0.021753088035806244, 0.021754341319218932, 0.02175562515985004, 0.021756940346230318, 0.021758287612865447, 0.021759667626110746, 0.02176108097101211, 0.021762528140168078, 0.021764009525954926, 0.021765525417773584, 0.021767076006311802, 0.021768661397154915, 0.021770281636400862, 0.02177193675121759, 0.021773626808495834, 0.021775351994872887, 0.021777112721413961, 0.021778909756132711, 0.021780744387328136, 0.021782618620461824, 0.021784535411088914, 0.021786498936331299, 0.021788514907742668, 0.021790590929420976, 0.021792736907198226, 0.021794965518063945, 0.021797292754122982, 0.021799738562924761, 0.0218023276166859, 0.021805090257836713, 0.021808063689069356, 0.021811293505187793, 0.021814835705626038, 0.021818759387121182, 0.021823150406569649, 0.021828116442663009, 0.021833794102203284, 0.021840359066296462, 0.021848040847753745, 0.021857144708018857, 0.021868084990109983, 0.021881437214593225, 0.021898022098010169, 0.021919046079189278, 0.021946346575546234, 0.021982842081998844, 0.022033409414149538, 0.022106723297186642, 0.022219480852647799, 0.02240728876888504, 0.02275725322626437, 0.023526498270375437, 0.02567217141289329, 0.031901358878711226, 0.029321703083563591, 0.024205101092845981, 0.022754256916393552, 0.022250010867033349, 0.022029876463726936, 0.021917936343136924, 0.021854792209845542, 0.021816453380775341, 0.021791886203398385, 0.021775500261758837, 0.021764245102383634, 0.021756357461175824, 0.021750771674927838, 0.021746822319268666, 0.021744085768895915, 0.021742292247357069, 0.021741275877070334, 0.021740946604279294, 0.021741004872975457, 0.02174118146242305, 0.021741481829131742, 0.021741915432744657, 0.02174249632326462, 0.021743244047488994, 0.021744184974962586, 0.021745354199341795, 0.021746798255353549, 0.021748579023723711, 0.021750779409782435, 0.021753511735290908, 0.021756930386736175, 0.021761251325182345, 0.021766782994128413, 0.021773976808893179, 0.021783512595440618, 0.021796449196523297, 0.021814502896569617, 0.021840591800040353, 0.021879973357647582, 0.021942817450108447, 0.022050599267017131, 0.02225373883688091, 0.022684463124296079, 0.023687093443661551, 0.025367498572243494, 0.024904717032485202, 0.02337841746629421, 0.022618337289712402, 0.022270949847476552, 0.022093292888391177, 0.021992061683939693, 0.021929293665254364, 0.021887768446014314, 0.021858876138113634, 0.021837953496783146, 0.021822304867204826, 0.021810286406009797, 0.021800850134858926, 0.021793302500393148, 0.021787169667669613, 0.021782118931922095, 0.021777911069744048, 0.021774370464544578, 0.021771365817191451, 0.021768797363535857, 0.021766588205919108, 0.021764678311907763, 0.021763020281746585, 0.021761576312864215, 0.021760315989684306, 0.021759214652159076, 0.021758252176481297, 0.021757412053618464, 0.021756680685952351, 0.021756046845681609, 0.021755501254661514, 0.02175503625648828, 0.021754645559479497, 0.021754324034802472, 0.021754067558050639, 0.021753872885533883, 0.021753737558750135, 0.021753659832165328, 0.02175363862070228, 0.021753673464337264, 0.021753764508008248, 0.021753912495710535, 0.021754118778241915, 0.021754385334598253, 0.021754714807544519, 0.021755110554427394, 0.021755576714883831, 0.02175611829777074, 0.021756741290433465, 0.021757452794394894, 0.02175826119274463, 0.021759176356021474, 0.021760209895320716, 0.021761375473867556, 0.021762689191580059, 0.021764170061477055, 0.021765840602553453, 0.021767727581493795, 0.021769862946097104, 0.021772285007658002, 0.021775039949409242, 0.021778183765864038, 0.021781784777053521, 0.021785926917598456, 0.021790714081496854, 0.021796275922221626, 0.021802775684393354, 0.021810420910408138, 0.021819478276240915, 0.021830294454445946, 0.021843325932010122, 0.021859182394659851, 0.021878691112019524, 0.021902994620884169, 0.021933702639927628, 0.021973135017956225, 0.022024722820068642, 0.022093695105422289, 0.022188305735183361, 0.02232213632794695, 0.022518681571529257, 0.022821148942251044, 0.023315291314684239, 0.024188566592696081, 0.025904561645988689, 0.029794343787458068, 0.040071197585598552, 0.061360491078582539, 0.054973655063487024, 0.037620907561991178, 0.030228904246532712, 0.02704099891993705, 0.025446931936076129, 0.02455116060412323, 0.024005197698059574, 0.023654318598705055, 0.023422310734435237, 0.023268693645352834, 0.023170960312897393, 0.02311655432014819, 0.023099074826435494, 0.02311655432014818, 0.023170960312896755, 0.023268693645353042, 0.023422310734435382, 0.023654318598705017, 0.02400519769805759, 0.024551160604123844, 0.025446931936077045, 0.0270409989199423, 0.030228904246540136, 0.037620907561965171, 0.054973655063486032, 0.061360491078603252, 0.040071197585606941, 0.029794343787463741, 0.02590456164598761, 0.02418856659269681, 0.023315291314684509, 0.022821148942250846, 0.022518681571529173, 0.022322136327946867, 0.022188305735183305, 0.022093695105422261, 0.022024722820068655, 0.0219731350179562, 0.021933702639927617, 0.021902994620884152, 0.021878691112019521, 0.021859182394659858, 0.021843325932010119, 0.021830294454445946, 0.021819478276240915, 0.021810420910408145, 0.021802775684393358, 0.021796275922221629, 0.021790714081496857, 0.021785926917598453, 0.021781784777053521, 0.021778183765864045, 0.021775039949409245, 0.021772285007658009, 0.021769862946097108, 0.021767727581493795, 0.021765840602553446, 0.021764170061477045, 0.021762689191580059, 0.021761375473867559, 0.021760209895320716, 0.021759176356021474, 0.021758261192744627, 0.021757452794394897, 0.021756741290433465, 0.02175611829777074, 0.021755576714883835, 0.021755110554427394, 0.021754714807544522, 0.021754385334598243, 0.021754118778241915, 0.021753912495710528, 0.021753764508008252, 0.021753673464337261, 0.021753638620702277, 0.021753659832165328, 0.021753737558750139, 0.021753872885533893, 0.021754067558050639, 0.021754324034802468, 0.021754645559479497, 0.021755036256488277, 0.021755501254661518, 0.021756046845681602, 0.021756680685952351, 0.021757412053618457, 0.021758252176481287, 0.021759214652159076, 0.021760315989684312, 0.021761576312864222, 0.021763020281746585, 0.021764678311907752, 0.021766588205919118, 0.021768797363535854, 0.02177136581719144, 0.021774370464544574, 0.021777911069744044, 0.021782118931922095, 0.02178716966766962, 0.021793302500393151, 0.02180085013485894, 0.02181028640600978, 0.021822304867204833, 0.021837953496783098, 0.021858876138113555, 0.021887768446014279, 0.021929293665254333, 0.021992061683939742, 0.022093292888391222, 0.02227094984747607, 0.02261833728971295, 0.023378417466291771, 0.024904717032484123, 0.025367498572243852, 0.023687093443664188, 0.022684463124297418, 0.022253738836881205, 0.022050599267016961, 0.021942817450108374, 0.02187997335764744, 0.021840591800040367, 0.021814502896569561, 0.021796449196523265, 0.021783512595440591, 0.021773976808893179, 0.021766782994128403, 0.021761251325182345, 0.021756930386736165, 0.021753511735290904, 0.021750779409782435, 0.021748579023723714, 0.021746798255353555, 0.021745354199341791, 0.021744184974962583, 0.021743244047488997, 0.021742496323264623, 0.02174191543274465, 0.021741481829131735, 0.02174118146242305, 0.021741004872975457, 0.021740946604279297, 0.021740975700620026, 0.021741063419905119, 0.021741211065436916, 0.021741420851712642, 0.021741695970109966, 0.021742040685408113, 0.02174246046812052, 0.021742962169680056, 0.021743554250160037, 0.021744247071688295, 0.021745053275370105, 0.021745988265891594, 0.021747070836772301, 0.021748323981579359, 0.021749775953969808, 0.021751461664732744, 0.021753424541002504, 0.021755719027729735, 0.021758413994321268, 0.021761597436448024, 0.02176538306170301, 0.021769919664760454, 0.021775404714667958, 0.021782104440748139, 0.021790384185857353, 0.021800755414603055, 0.021813950542687453, 0.021831045788895678, 0.021853670019252713, 0.021884374028301172, 0.021927313125058839, 0.021989572698171918, 0.02208388232884648, 0.02223445951166193, 0.022489911199373793, 0.022949102160585506, 0.023776086652364498, 0.024908144050883985, 0.025162875202372845, 0.024157074326591501, 0.02322206604767307, 0.022673916276529829, 0.022365594944786179, 0.02218334275862258, 0.02206886430350305, 0.021992933541941904, 0.021940215557979762, 0.021902200704503813, 0.021873910484666494, 0.021852292887629538, 0.021835399442080693, 0.021821941755984429, 0.02181104155040307, 0.021802083990125776, 0.02179462850509702, 0.021788352827366655, 0.021783016870971963, 0.021778438826318129, 0.021774478978216428, 0.021771028527631263, 0.021768001726849461, 0.021765330252854913, 0.021762959120256168, 0.021760843670895813, 0.021758947327973389, 0.021757239900675674, 0.021755696290372311, 0.021754295493259093, 0.021753019824295436, 0.021751854308053622, 0.021750786196684531, 0.021749804585572532, 0.021748900104703994, 0.021748064669188157, 0.021747291276340713, 0.02174657383968177, 0.021745907052398081, 0.021745286274474144, 0.021744707438954822, 0.02174416697376317, 0.021743661736238679, 0.021743188958135689, 0.021742746199271013, 0.021742331308362142, 0.021741942389876832, 0.021741577775936213, 0.021741236002491681, 0.021740915789138338, 0.021740616022043663, 0.021740335739564902, 0.02174007412020568, 0.021739830472626936, 0.021739604227481026, 0.021739394930882755, 0.021739202239370276, 0.021739025916242116, 0.021738865829186563, 0.021738721949146077, 0.021738594350384569, 0.021738483211748573, 0.021738388819136218, 0.021738311569211209, 0.021738251974422366, 0.021738210669414729, 0.021738188418945505, 0.021738186127448468, 0.021738204850424565, 0.021738245807875728, 0.021738310400044269, 0.021738400225773211, 0.021738517103865835, 0.021738663097897029, 0.021738840545018259, 0.021739052089405186, 0.021739300721126825, 0.021739589821372123, 0.021739923215162788, 0.021740305232916562, 0.021740740782515623, 0.021741235433894453, 0.021741795518608321, 0.021742428247402131, 0.021743141849500817, 0.02174394573822774, 0.021744850708681644, 0.021745869174637021, 0.021747015453675241, 0.021748306111933673, 0.021753253219973658, 0.021760421263064163, 0.02177101575158966, 0.021787128475139309, 0.021812616283219493, 0.021855166522464862, 0.021931770186318211, 0.0220857991410503, 0.022454622166971458, 0.023664581121169693, 0.031904056399443062, 0.064276839150077633, 0.026470377075428517, 0.023411028665762994, 0.022620989211869141, 0.022301196142988887, 0.022138939065841412, 0.022044677148832733, 0.021984810329470441, 0.021944370227404041, 0.021915850915228231, 0.021895155853195923, 0.021879912966062821, 0.021868702034926572, 0.02186067743695342, 0.021855383164282344, 0.021852678178530798, 0.02185274800179866, 0.021856223411948941, 0.021864499530463821, 0.021880538046270857, 0.021911071551250574, 0.021973798237333034, 0.022128311323737021, 0.022692683179209864, 0.029279789995959704, 0.025712461808155701, 0.022351294478849454, 0.021978339609567774, 0.02187181922701207, 0.021827817029369579, 0.021805546851061272, 0.021792682750598685, 0.021784510506874657, 0.021778925308845079, 0.021774877643036782, 0.021771798717604492, 0.021769359417470751, 0.021767358935134897, 0.021765669229799948, 0.021764205552698462, 0.021762909976311536, 0.021761741779402925, 0.021760671619834006, 0.021759677886079149, 0.021758744346583869, 0.021757858596406769, 0.021757011007188857, 0.0217561940027097, 0.021755401549716061, 0.021754628793928751, 0.021753871795730535, 0.021753127335426233, 0.021752392767794403, 0.021751665912046584, 0.021750944967547439, 0.021750228448500868, 0.021749515132756081, 0.021748804021237272, 0.021748094305448079, 0.02174738534117427, 0.021746676626991122, 0.021745967786531428, 0.021745258553726447, 0.021744548760419778, 0.021743838325894903, 0.021743127247960511, 0.021742415595316696, 0.02174170350098318, 0.021740991156615829, 0.021740278807570772, 0.021739566748601235, 0.021738855320091618, 0.02173814490474818, 0.021737435924677102, 0.021736728838789746, 0.02173602414048181, 0.021735322355538628, 0.02173462404022387, 0.021733929779511916, 0.021733240185428639, 0.021732555895467236, 0.021731877571049225, 0.02173120589600297, 0.021730541575034672, 0.021729885332169283, 0.021729237909141018, 0.02172860006371603, 0.021727972567931672, 0.021727356206239886, 0.021726751773544394, 0.02172616007312414, 0.021725581914437849, 0.021725018110807584, 0.021724469476981277, 0.021723936826577309, 0.021723420969416603, 0.021722922708750363, 0.021722442838393939, 0.021721982139779945, 0.021721541378945861, 0.021721121303473572, 0.0217207226394001, 0.021720346088120821, 0.021719992323307673, 0.021719661987865964, 0.021719355690954699, 0.021719074005095571, 0.021718817463395813, 0.021718586556910564, 0.021718381732169084, 0.021718203388888808, 0.021718051877899627, 0.021717927499299308, 0.021717830500858709, 0.021717761076693445, 0.021717719366215853, 0.021717705453378287, 0.021717714728966681, 0.021717742541393921, 0.021717788847687547, 0.021717853576364438, 0.021717936627635669, 0.021718037873690497, 0.021718157159056433, 0.021718294301031657, 0.021718449090185513, 0.021718621290921648, 0.021718810642098234, 0.021719016857698548, 0.021719239627545187, 0.021719478618050039, 0.021719733472992508, 0.021720003814317306, 0.021720289242943402, 0.021720589339575391, 0.021720903665508277, 0.021721231763416733, 0.021721573158120018, 0.021721927357313712, 0.021722293852259888, 0.021722672118427416, 0.021723061616074797, 0.021723461790768412, 0.021723872073829441, 0.02172429188270417, 0.02172472062125249, 0.021725157679951305, 0.021725602436009888, 0.021726054253396389, 0.021726512482775705, 0.021726976461360729, 0.021727445512680903, 0.021727918946274027, 0.021728396057309512, 0.021728876126153554, 0.021729358417889491, 0.021729842181809254, 0.021730326650894749, 0.021730811041311061, 0.021731294551936588, 0.021731776363958181, 0.0217322556405628, 0.021732731526760061, 0.021733203149372798, 0.021733669617235645, 0.021734130021643268, 0.021734583437091653, 0.021735028922356403, 0.02173546552195162, 0.021735892268011647, 0.021736308182635181, 0.021736712280726555, 0.021737103573363691, 0.021737481071713596, 0.021737843791507314, 0.021738190758074264, 0.021738521011922602, 0.021738833614837409, 0.021739127656452119, 0.021739402261231409, 0.021739656595786187, 0.021739889876424178, 0.02174010137682305, 0.021740290435698979, 0.021740456464331349, 0.021740598953796438, 0.021740717481758501, 0.021740811718667753, 0.021740881433220335, 0.021740926496946887, 0.021740946887812831, 0.021740942692734282, 0.021740914108939201, 0.021740861444130961, 0.021740785115441561, 0.021740685647191758, 0.021740563667504317, 0.021740419903843376, 0.021740255177575895, 0.021740070397669946, 0.021739866553658276, 0.021739644708004061, 0.021739405988009313, 0.021739151577404806, 0.021738882707755539, 0.021738600649806952, 0.021738306704886457, 0.021738002196462654, 0.021737688461951767, 0.021737366844847856, 0.021737038687241399, 0.021736705322778816, 0.021736368070105493, 0.021736028226824831, 0.021735687063997592, 0.021735345821197655, 0.021735005702133089, 0.021734667870835018, 0.021734333448409877, 0.021734003510345101, 0.021733679084352506, 0.021733361148727929, 0.021733050631201453, 0.021732748408247335, 0.021732455304819535, 0.02173217209447496, 0.021731899499844404, 0.021731638193409127, 0.021731388798539905, 0.021731151890755158, 0.021730927999154905, 0.021730717607988288, 0.021730521158314059, 0.021730339049714782, 0.021730171642028489, 0.021730019257063717, 0.021729882180266519, 0.021729760662311158, 0.021729654920589238, 0.021729565140574541, 0.021729491477044158, 0.021729434055139371, 0.021729392971251968, 0.021729368293725296, 0.021729360063360955], [0.02128809315707858, 0.021288106343898931, 0.021288145890593087, 0.021288211755943334, 0.02128830387152951, 0.021288422142141945, 0.021288566446357474, 0.021288736637276318, 0.021288932543417023, 0.021289153969766342, 0.021289400698979829, 0.021289672492728964, 0.021289969093189646, 0.021290290224666532, 0.021290635595347326, 0.021291004899180441, 0.021291397817869168, 0.021291814022975267, 0.021292253178124099, 0.021292714941303682, 0.021293198967249287, 0.021293704909905384, 0.021294232424956233, 0.021294781172416503, 0.021295350819272946, 0.021295941042168247, 0.021296551530117787, 0.021297181987250224, 0.021297832135562134, 0.021298501717677148, 0.021299190499599354, 0.021299898273450277, 0.021300624860178214, 0.021301370112227561, 0.021302133916154948, 0.02130291619517723, 0.021303716911634862, 0.021304536069351784, 0.021305373715870463, 0.02130622994453726, 0.021307104896409919, 0.021307998761954453, 0.021308911782493657, 0.021309844251364174, 0.021310796514732826, 0.021311768972016251, 0.021312762075841263, 0.021313776331476197, 0.021314812295657071, 0.021315870574726743, 0.021316951822000916, 0.021318056734273474, 0.021319186047375802, 0.021320340530712301, 0.021321520980709389, 0.02132272821313989, 0.021323963054321864, 0.021325226331244378, 0.021326518860744562, 0.021327841437956706, 0.021329194824376483, 0.021330579736037473, 0.021331996832483918, 0.021333446707446434, 0.021334929882384075, 0.021336446804344628, 0.021337997849908839, 0.021339583337310897, 0.021341203549155276, 0.021342858768456215, 0.021344549330993029, 0.021346275697177969, 0.021348038546757597, 0.021349838899705442, 0.021351678266621824, 0.021353558831872413, 0.021355483672639688, 0.021357457017146971, 0.021359484545713014, 0.021361573739236882, 0.021363734281497265, 0.021365978524654713, 0.021368322032038152, 0.021370784219273919, 0.02137338912486194, 0.021376166355516323, 0.02137915227158204, 0.021382391506103462, 0.021385938951593332, 0.021389862407598104, 0.021394246170208891, 0.021399195979097695, 0.021404845947907404, 0.021411368440908646, 0.021418988413454666, 0.021428004672022254, 0.02143882214603968, 0.021452002216605363, 0.021468343684676445, 0.021489017811642981, 0.021515803229320823, 0.02155151541136387, 0.021600839997738049, 0.021672071190008801, 0.021781079500402784, 0.021961465520301999, 0.022294730712506663, 0.023019556348938857, 0.025032842080054588, 0.03153911077669342, 0.030279574870889763, 0.02409249498948661, 0.022414453340675964, 0.021855357443427367, 0.021617032885829571, 0.02149759296729898, 0.021430855282277325, 0.021390592076586105, 0.021364897214826286, 0.021347794228624983, 0.021336043674659348, 0.021327781161097053, 0.021321881827605697, 0.021317641765965182, 0.021314608816188341, 0.021312488479644842, 0.021311089823869749, 0.021310293877934251, 0.021310035479760972, 0.021310082490141293, 0.021310224831775217, 0.021310466507110465, 0.021310814429912187, 0.021311278813283152, 0.021311873763273138, 0.021312618137081889, 0.021313536756018488, 0.02131466210933259, 0.021316036755026579, 0.02131771673326633, 0.021319776483671629, 0.021322316046739506, 0.021325471817893044, 0.021329432971906447, 0.021334467200994502, 0.02134096225061724, 0.021349495246092403, 0.021360952991327467, 0.021376750376959235, 0.021399248559115298, 0.021432607793586224, 0.021484663385691914, 0.021571445473052356, 0.02172930714393307, 0.022051395760337843, 0.022800946266422126, 0.024504999258769013, 0.025398078787942049, 0.023583507882130428, 0.022450007168449141, 0.021959973825396061, 0.021725199160738645, 0.021597863052827737, 0.021521719334588154, 0.021472695752036704, 0.021439292726266778, 0.021415499932519216, 0.021397940025849511, 0.021384600148766301, 0.0213742210882975, 0.02136598256814902, 0.021359331641010382, 0.021353884494360421, 0.021349367894668621, 0.021345582998232124, 0.021342382276088513, 0.021339654390985313, 0.021337314041733862, 0.021335294993678491, 0.021333545201745734, 0.021332023337507472, 0.021330696276663605, 0.021329537255187259, 0.021328524498592898, 0.021327640191003562, 0.021326869691676194, 0.0213262009341048, 0.02132562396151676, 0.021325130565493667, 0.021324714003498661, 0.02132436877751772, 0.021324090460645196, 0.021323875561812738, 0.021323721421350174, 0.021323626131934413, 0.021323588480907346, 0.021323607911055982, 0.021323684497838696, 0.021323818941780336, 0.021324012575399648, 0.021324267384616295, 0.021324586045149981, 0.021324971975003115, 0.021325429404745893, 0.0213259634680351, 0.021326580315638152, 0.021327287257253746, 0.021328092936687262, 0.021329007547538352, 0.021330043098605082, 0.021331213740859421, 0.021332536171312907, 0.021334030133661978, 0.021335719041685349, 0.021337630759533151, 0.021339798584112078, 0.021342262489899035, 0.021345070717403863, 0.021348281815636728, 0.021351967290021028, 0.021356215065802545, 0.021361134061658158, 0.021366860292110993, 0.021373565101325629, 0.021381466408253454, 0.021390844268434045, 0.021402062721894721, 0.021415600954383992, 0.021432098520969934, 0.021452422251454595, 0.021477767370502564, 0.021509814026603555, 0.021550976200888528, 0.021604809785373609, 0.021676705381378808, 0.021775112814425464, 0.021913809487832673, 0.022116341396773806, 0.022425310296360166, 0.022923399422838952, 0.023785767456062385, 0.025426324878206192, 0.028957113623388923, 0.03763633132046465, 0.056763195962859239, 0.060522039538814659, 0.042535402348365454, 0.032779568867030991, 0.028446852129242715, 0.026294571149830897, 0.025100740042260178, 0.024384628789060062, 0.023934223530499819, 0.023646473877551102, 0.023467853081297157, 0.023369942900125042, 0.023338720013628255, 0.023369942900125052, 0.023467853081296022, 0.023646473877551505, 0.02393422353050011, 0.024384628789059996, 0.025100740042256035, 0.026294571149832354, 0.028446852129245078, 0.032779568867047186, 0.042535402348387784, 0.060522039538777023, 0.056763195962858767, 0.03763633132048106, 0.028957113623391574, 0.025426324878208322, 0.023785767456061903, 0.022923399422839351, 0.022425310296360346, 0.022116341396773671, 0.021913809487832628, 0.021775112814425401, 0.021676705381378759, 0.021604809785373588, 0.021550976200888548, 0.021509814026603537, 0.021477767370502554, 0.021452422251454585, 0.021432098520969931, 0.021415600954383995, 0.021402062721894714, 0.021390844268434048, 0.021381466408253447, 0.021373565101325633, 0.021366860292111, 0.021361134061658151, 0.021356215065802542, 0.021351967290021031, 0.021348281815636725, 0.021345070717403873, 0.021342262489899042, 0.021339798584112085, 0.021337630759533155, 0.021335719041685353, 0.021334030133661978, 0.021332536171312911, 0.021331213740859421, 0.021330043098605086, 0.021329007547538359, 0.021328092936687262, 0.021327287257253743, 0.021326580315638152, 0.021325963468035097, 0.021325429404745893, 0.021324971975003115, 0.021324586045149974, 0.021324267384616298, 0.021324012575399651, 0.021323818941780339, 0.0213236844978387, 0.021323607911055979, 0.021323588480907343, 0.021323626131934413, 0.021323721421350167, 0.021323875561812727, 0.021324090460645206, 0.021324368777517724, 0.021324714003498661, 0.02132513056549367, 0.021325623961516757, 0.021326200934104804, 0.021326869691676197, 0.021327640191003569, 0.021328524498592901, 0.021329537255187256, 0.021330696276663601, 0.021332023337507472, 0.021333545201745737, 0.021335294993678502, 0.021337314041733856, 0.021339654390985317, 0.021342382276088524, 0.02134558299823212, 0.021349367894668618, 0.021353884494360414, 0.021359331641010379, 0.021365982568149033, 0.02137422108829751, 0.021384600148766326, 0.021397940025849483, 0.021415499932519219, 0.021439292726266698, 0.021472695752036558, 0.021521719334588095, 0.021597863052827664, 0.021725199160738742, 0.021959973825396176, 0.022450007168447805, 0.023583507882132048, 0.025398078787939395, 0.0245049992587704, 0.022800946266422442, 0.022051395760338623, 0.0217293071439335, 0.021571445473052456, 0.021484663385691827, 0.021432607793586189, 0.021399248559115226, 0.021376750376959242, 0.021360952991327432, 0.021349495246092389, 0.021340962250617226, 0.021334467200994509, 0.02132943297190644, 0.021325471817893033, 0.021322316046739499, 0.021319776483671629, 0.02131771673326633, 0.021316036755026573, 0.02131466210933259, 0.021313536756018485, 0.021312618137081886, 0.021311873763273134, 0.021311278813283152, 0.02131081442991219, 0.021310466507110461, 0.021310224831775214, 0.021310082490141293, 0.021310035479760979, 0.021310058956957364, 0.021310129704305091, 0.021310248677396615, 0.021310417496978304, 0.021310638492408041, 0.021310914765226823, 0.021311250275799932, 0.021311649957173249, 0.021312119861786497, 0.021312667348613944, 0.021313301320840951, 0.021314032527577284, 0.021314873947706814, 0.021315841280286532, 0.021316953574681559, 0.021318234045966087, 0.021319711138704442, 0.021321419927610628, 0.021323403980742648, 0.021325717866101265, 0.021328430565871085, 0.021331630190626345, 0.021335430586346252, 0.021339980747506353, 0.021345478473112394, 0.021352190579393745, 0.021360483491458665, 0.021370870710111706, 0.02138408854821474, 0.021401220837856002, 0.021423911725540472, 0.021454743785301506, 0.021497941520057771, 0.021560749976564035, 0.021656294733538483, 0.021809865522611594, 0.022073276661107612, 0.022555851007778432, 0.023453988443775969, 0.024739167156796926, 0.02501197424869522, 0.023839642128940804, 0.022820850880647184, 0.022248305303922515, 0.021933443990396349, 0.021749611220618796, 0.021634977238466011, 0.02155929260222644, 0.021506907952585329, 0.021469216063731519, 0.021441211333918016, 0.021419838032049034, 0.021403151331067558, 0.02138986825904915, 0.021379115829182706, 0.021370283803131856, 0.021362935426018165, 0.021356751537478461, 0.021351494566248502, 0.021346984736801442, 0.021343083983886572, 0.02133968485291235, 0.021336702697650808, 0.021334070102812429, 0.021331732835544761, 0.021329646865293372, 0.021327776141717495, 0.021326090918111079, 0.021324566472512137, 0.021323182122247271, 0.021321920457419562, 0.021320766739466198, 0.021319708425381684, 0.021318734788481467, 0.021317836613965361, 0.021317005952902444, 0.021316235922191271, 0.021315520540960642, 0.02131485459605011, 0.02131423353084691, 0.021313653352999066, 0.021313110557474896, 0.021312602062171754, 0.021312125153844664, 0.021311677442569121, 0.021311256823300734, 0.021310861443370185, 0.021310489674970762, 0.02131014009187155, 0.021309811449730584, 0.021309502669496758, 0.021309212823482793, 0.021308941123768962, 0.021308686912660274, 0.021308449654974315, 0.021308228931981421, 0.021308024436858593, 0.021307835971552211, 0.021307663444975165, 0.021307506872491985, 0.021307366376671057, 0.021307242189308545, 0.021307134654753174, 0.021307044234586382, 0.021306971513738913, 0.021306917208153843, 0.021306882174137075, 0.021306867419572259, 0.021306874117217163, 0.021306903620345211, 0.021306957481050642, 0.021307037471599764, 0.021307145609287377, 0.021307284185348746, 0.021307455798587435, 0.021307663394512261, 0.021307910310938181, 0.021308200331203661, 0.021308537746398827, 0.021308927428297739, 0.021309374915058063, 0.021309886512211426, 0.021310469412044172, 0.021311131835191621, 0.021311883199183861, 0.021312734319843204, 0.021313697652919069, 0.021314787585254794, 0.021318997767555376, 0.021325142158044659, 0.021334249838793746, 0.021348084261911263, 0.021369843458341701, 0.021405761232585981, 0.021469197509923901, 0.021592762038987585, 0.021872729895110264, 0.022695963411214354, 0.02690347439508663, 0.089185453450954119, 0.028852147973110469, 0.023480939877116865, 0.022368912793481081, 0.021958798611169329, 0.021760974322690599, 0.021649610271709273, 0.021580373998763017, 0.021534318168836938, 0.021502215916551836, 0.021479139440800869, 0.021462282203126719, 0.021449985702452129, 0.021441273467432648, 0.021435625927957246, 0.021432890809160089, 0.021433298393838701, 0.021437608178720834, 0.021447506924736577, 0.021466630274709145, 0.021503460741934585, 0.021581255083124903, 0.021784269417978033, 0.022638562085575038, 0.038920775748558678, 0.023579291911372095, 0.021786014042842063, 0.021514277983187169, 0.021428604086621613, 0.021391510126989841, 0.021372224657960869, 0.021360891357423792, 0.021353604836599878, 0.021348580061561685, 0.021344912271055186, 0.021342105267799501, 0.021339869387481312, 0.021338026688771907, 0.02133646309982927, 0.021335102783746986, 0.021333893707109395, 0.02133279916578399, 0.021331792625021308, 0.021330854476779071, 0.021329969944450307, 0.021329127695141618, 0.021328318900011911, 0.021327536585167717, 0.021326775175045724, 0.021326030165800182, 0.021325297888046858, 0.021324575332013811, 0.02132386001691839, 0.021323149892109594, 0.021322443261310619, 0.021321738723854643, 0.021321035128558138, 0.021320331537089763, 0.021319627194546095, 0.021318921505551272, 0.021318214014632794, 0.021317504389941344, 0.021316792409612827, 0.021316077950240462, 0.021315360977050824, 0.02131464153547068, 0.021313919743841621, 0.021313195787091531, 0.021312469911211222, 0.021311742418413701, 0.021311013662876001, 0.021310284046979579, 0.021309554017978394, 0.021308824065032653, 0.021308094716553962, 0.021307366537812903, 0.021306640128764626, 0.021305916122051675, 0.021305195181146191, 0.021304477998596347, 0.021303765294344402, 0.021303057814085799, 0.021302356327641114, 0.021301661627314995, 0.021300974526218291, 0.021300295856531801, 0.021299626467692907, 0.021298967224488322, 0.021298319005038931, 0.021297682698665454, 0.021297059203626196, 0.021296449424720927, 0.02129585427075795, 0.021295274651884126, 0.021294711476780654, 0.021294165649730086, 0.021293638067563365, 0.021293129616498072, 0.021292641168882062, 0.021292173579859346, 0.021291727683977239, 0.021291304291756557, 0.021290904186248211, 0.021290528119601644, 0.021290176809671792, 0.021289850936692625, 0.021289551140045614, 0.021289278015152322, 0.02128903211051968, 0.021288813924966427, 0.021288623905057789, 0.021288462442774287, 0.02128832987343874, 0.021288226473922912, 0.02128815246115303, 0.021288107990930217, 0.02128809315707858, 0.02128810304672173, 0.021288132699658617, 0.021288182067958319, 0.021288251071891195, 0.021288339600160109, 0.021288447510220854, 0.021288574628688526, 0.021288720751825758, 0.021288885646107848, 0.021289069048858935, 0.021289270668953017, 0.021289490187572268, 0.02128972725901529, 0.021289981511546624, 0.021290252548279057, 0.021290539948079459, 0.021290843266488658, 0.021291162036645852, 0.02129149577020778, 0.021291843958252826, 0.021292206072160483, 0.021292581564456712, 0.021292969869615964, 0.021293370404811149, 0.021293782570603326, 0.021294205751563496, 0.021294639316819675, 0.021295082620523407, 0.021295535002230595, 0.021295995787193288, 0.021296464286559711, 0.021296939797481804, 0.021297421603131125, 0.021297908972625488, 0.021298401160871266, 0.021298897408327817, 0.021299396940703767, 0.021299898968596482, 0.021300402687089638, 0.02130090727532637, 0.021301411896078593, 0.021301915695336467, 0.021302417801945046, 0.021302917327318732, 0.021303413365267261, 0.021303904991970116, 0.02130439126613921, 0.021304871229412284, 0.02130534390702116, 0.021305808308780736, 0.021306263430444828, 0.021306708255474295, 0.021307141757261203, 0.021307562901849278, 0.021307970651185892, 0.021308363966934189, 0.021308741814864706, 0.021309103169835624, 0.021309447021357394, 0.021309772379723136, 0.021310078282669467, 0.021310363802514699, 0.021310628053702811, 0.021310870200661913, 0.021311089465868231, 0.021311285137988158, 0.021311456579956679, 0.021311603236837263, 0.021311724643300917, 0.021311820430557959, 0.021311890332578173, 0.021311934191442873, 0.021311951961685727, 0.02131194371349902, 0.021311909634706583, 0.021311850031433734, 0.021311765327437008, 0.021311656062090664, 0.021311522887061247, 0.021311366561734782, 0.021311187947491362, 0.021310988000947967, 0.021310767766311307, 0.021310528366997303, 0.021310270996682722, 0.021309996909956871, 0.021309707412738566, 0.021309403852615146, 0.021309087609248923, 0.021308760084981112, 0.021308422695747026, 0.021308076862398707, 0.021307724002513379, 0.021307365522749994, 0.021307002811799969, 0.021306637233964271, 0.021306270123376794, 0.021305902778882571, 0.021305536459570326, 0.021305172380950543, 0.021304811711763318, 0.021304455571394369, 0.021304105027872135, 0.021303761096414974, 0.021303424738493084, 0.021303096861367242, 0.021302778318063317, 0.021302469907740113, 0.021302172376406244, 0.021301886417941344, 0.021301612675376596, 0.02130135174238991, 0.021301104164972141, 0.021300870443222028, 0.021300651033229312, 0.021300446349007997, 0.021300256764443547, 0.021300082615221035, 0.021299924200703851, 0.021299781785735265, 0.021299655602338159, 0.021299545851291107, 0.021299452703561601, 0.021299376301579933, 0.021299316760339779, 0.02129927416831388, 0.021299248588175664, 0.021299240057319656], [0.020875433707956369, 0.020875447789313432, 0.020875490017890675, 0.020875560347298316, 0.020875658700526607, 0.020875784970404133, 0.020875939020236857, 0.020876120684624872, 0.020876329770453499, 0.020876566058054498, 0.02087682930253228, 0.02087711923524975, 0.020877435565467124, 0.020877777982127199, 0.020878146155779334, 0.020878539740634364, 0.020878958376741839, 0.020879401692281002, 0.020879869305956013, 0.020880360829486116, 0.020880875870181049, 0.020881414033591582, 0.020881974926225278, 0.02088255815831724, 0.020883163346645521, 0.020883790117380917, 0.020884438108960662, 0.020885106974975629, 0.020885796387060264, 0.02088650603777456, 0.020887235643466708, 0.02088798494710517, 0.020888753721067667, 0.020889541769874394, 0.020890348932851233, 0.020891175086707705, 0.020892020148012634, 0.020892884075548197, 0.020893766872521081, 0.020894668588605704, 0.020895589321791815, 0.020896529220004144, 0.020897488482457632, 0.020898467360706593, 0.020899466159341018, 0.020900485236277209, 0.020901525002584562, 0.020902585921784837, 0.020903668508555271, 0.020904773326763836, 0.020905900986763357, 0.020907052141873283, 0.020908227483984181, 0.020909427738232685, 0.020910653656715517, 0.020911906011242702, 0.0209131855851751, 0.020914493164453631, 0.020915829528009338, 0.020917195437850013, 0.020918591629252383, 0.020920018801653666, 0.020921477611032857, 0.020922968664803379, 0.020924492520501162, 0.020926049689843396, 0.020927640650045015, 0.020929265864600956, 0.020930925816059192, 0.020932621053603762, 0.02093435225852236, 0.020936120330832871, 0.020937926500480115, 0.020939772466592455, 0.020941660568333936, 0.020943593990956695, 0.02094557701084615, 0.020947615283800996, 0.020949716181706809, 0.020951889184416959, 0.020954146336403596, 0.020956502782040295, 0.020958977399815795, 0.020961593565141094, 0.020964380084790391, 0.020967372364993849, 0.020970613902182834, 0.020974158224136442, 0.020978071465821813, 0.020982435848400052, 0.020987354458018199, 0.020992957920759069, 0.020999413889240648, 0.021006940779528079, 0.02101582807880031, 0.021026467076098263, 0.021039398620963573, 0.021055389651921066, 0.02107556024881551, 0.021101603473523411, 0.021136184791698813, 0.021183711384431175, 0.021251922842730673, 0.021355482877888521, 0.021525049846202134, 0.021833796944710059, 0.022491784317542059, 0.024278125477936834, 0.030489048690520666, 0.031913986097656562, 0.024190253637031468, 0.022139332569563755, 0.021493783101735543, 0.021227712858616198, 0.021097136890741417, 0.021025199161810643, 0.020982229676954418, 0.020955004000206459, 0.020936972262262373, 0.020924619705015027, 0.020915938505543703, 0.02090972335800928, 0.020905221674947592, 0.020901949077305707, 0.020899587176166953, 0.020897924703340429, 0.020896822667712922, 0.02089619351550313, 0.020895988944123412, 0.020896027290234483, 0.020896143314149056, 0.020896340021519032, 0.020896622588859704, 0.020896998628950132, 0.020897478593855198, 0.020898076351937508, 0.02089880999365237, 0.020899702947448438, 0.02090078552650269, 0.020902097087060471, 0.020903689072771601, 0.020905629368758432, 0.020908008633130231, 0.020910949682570335, 0.020914621713465014, 0.020919262393354759, 0.020925213164925675, 0.020932977522764355, 0.020943320867423974, 0.020957449173154227, 0.020977345337794124, 0.02100644171432077, 0.021051065717234051, 0.021123831810661041, 0.021252491937520959, 0.021506055972744818, 0.022080454778649318, 0.02351864610330557, 0.025489164850643727, 0.023961603827166729, 0.022358787718707241, 0.021683235282635809, 0.021379291666932247, 0.021222213686451382, 0.021131502364242095, 0.021074577722259284, 0.021036536815999676, 0.021009846660743917, 0.020990383825931085, 0.02097574183025399, 0.020964440774547649, 0.020955530224421221, 0.020948377112162408, 0.020942546470561867, 0.020937731358187835, 0.020933710100390503, 0.020930319325921615, 0.020927436466655659, 0.02092496810612527, 0.020922842044362063, 0.020921001783102577, 0.020919402622719137, 0.020918008854158489, 0.02091679170853529, 0.020915727839789563, 0.020914798188207781, 0.020913987119977679, 0.020913281769497534, 0.020912671532518714, 0.020912147672881562, 0.020911703015840735, 0.020911331708211245, 0.02091102903074888, 0.02091079125193978, 0.020910615515141982, 0.020910499753089236, 0.020910442625339525, 0.020910443475470789, 0.020910502305799987, 0.020910619768204526, 0.020910797170317273, 0.020911036496993923, 0.020911340447555285, 0.020911712489922619, 0.020912156933428662, 0.020912679022839217, 0.02091328505700521, 0.020913982536638183, 0.020914780347033136, 0.020915688983241691, 0.020916720827346257, 0.020917890490264195, 0.020919215234139844, 0.02092071549616659, 0.02092241554104133, 0.020924344277785237, 0.020926536288206215, 0.020929033130036957, 0.020931884999502673, 0.020935152868309565, 0.020938911252589069, 0.020943251831868688, 0.020948288223320895, 0.020954162343724242, 0.020961052979695007, 0.020969187469203517, 0.020978857828372624, 0.020990443326786217, 0.021004442573699836, 0.02102151988911078, 0.021042573563346916, 0.021068838406345648, 0.021102043351320415, 0.021144659916708507, 0.021200305328021331, 0.021274418298176983, 0.021375435119719836, 0.021516927047251992, 0.021721685927502985, 0.022030012125773289, 0.022517752691231727, 0.023338964733025293, 0.02483692641618037, 0.027861597163565101, 0.034684511832836204, 0.049921628647073835, 0.063790878228784362, 0.050941451117094166, 0.037897043357723419, 0.031452318294004793, 0.028236198401809187, 0.026481235523154508, 0.025453863269276369, 0.024830576579601339, 0.024457169500652222, 0.02425698331179833, 0.024193823702354716, 0.024256983311798382, 0.02445716950064989, 0.024830576579602089, 0.025453863269277174, 0.02648123552315412, 0.028236198401798616, 0.031452318294008151, 0.037897043357730843, 0.050941451117136431, 0.063790878228786041, 0.049921628647119694, 0.034684511832835593, 0.027861597163570513, 0.02483692641618138, 0.023338964733026355, 0.022517752691231449, 0.022030012125773536, 0.0217216859275031, 0.021516927047251892, 0.021375435119719802, 0.021274418298176934, 0.0212003053280213, 0.02114465991670849, 0.021102043351320432, 0.021068838406345627, 0.021042573563346909, 0.021021519889110767, 0.021004442573699829, 0.020990443326786217, 0.020978857828372624, 0.020969187469203513, 0.020961052979695013, 0.020954162343724238, 0.020948288223320892, 0.020943251831868681, 0.020938911252589072, 0.020935152868309555, 0.020931884999502669, 0.020929033130036964, 0.020926536288206211, 0.020924344277785244, 0.020922415541041333, 0.020920715496166593, 0.020919215234139848, 0.020917890490264199, 0.020916720827346264, 0.020915688983241691, 0.020914780347033143, 0.020913982536638183, 0.02091328505700521, 0.02091267902283921, 0.020912156933428655, 0.020911712489922626, 0.020911340447555285, 0.020911036496993916, 0.020910797170317279, 0.020910619768204526, 0.020910502305799977, 0.020910443475470785, 0.020910442625339521, 0.020910499753089239, 0.020910615515141975, 0.020910791251939776, 0.02091102903074888, 0.020911331708211252, 0.020911703015840739, 0.020912147672881565, 0.02091267153251871, 0.020913281769497527, 0.020913987119977676, 0.020914798188207781, 0.020915727839789563, 0.020916791708535287, 0.020918008854158489, 0.020919402622719144, 0.020921001783102584, 0.020922842044362063, 0.020924968106125277, 0.020927436466655656, 0.020930319325921619, 0.020933710100390513, 0.020937731358187814, 0.020942546470561867, 0.020948377112162405, 0.020955530224421228, 0.020964440774547663, 0.020975741830253997, 0.02099038382593111, 0.021009846660743871, 0.021036536815999679, 0.021074577722259152, 0.021131502364241862, 0.021222213686451254, 0.021379291666932098, 0.021683235282636045, 0.022358787718707612, 0.023961603827162239, 0.025489164850643613, 0.023518646103309455, 0.022080454778649838, 0.021506055972744933, 0.021252491937521253, 0.021123831810661211, 0.021051065717234099, 0.021006441714320721, 0.020977345337794107, 0.020957449173154181, 0.020943320867423985, 0.020932977522764334, 0.020925213164925661, 0.020919262393354753, 0.020914621713465021, 0.020910949682570332, 0.020908008633130231, 0.020905629368758429, 0.020903689072771601, 0.020902097087060468, 0.02090078552650269, 0.020899702947448435, 0.020898809993652366, 0.020898076351937512, 0.020897478593855198, 0.020896998628950135, 0.020896622588859708, 0.020896340021519032, 0.02089614331414906, 0.02089602729023448, 0.020895988944123409, 0.020896008096088207, 0.020896065789223227, 0.020896162740962874, 0.020896300166304959, 0.020896479807548208, 0.020896703977631274, 0.020896975618907947, 0.020897298379913359, 0.02089767671356689, 0.020898116001388373, 0.020898622709766015, 0.020899204586235624, 0.020899870906288476, 0.020900632784671302, 0.020901503569837811, 0.020902499346682705, 0.020903639581708103, 0.020904947957491, 0.020906453461479527, 0.020908191820414635, 0.020910207410210456, 0.02091255582851961, 0.020915307404083188, 0.020918552050795836, 0.020922406084562344, 0.02092702195794334, 0.020932602420215829, 0.020939421539875516, 0.020947856633372595, 0.020958438007743767, 0.020971928705221413, 0.020989456548274249, 0.021012740973601392, 0.021044499396416314, 0.021089210967309747, 0.021154632585283023, 0.021254996829751665, 0.021418197175453992, 0.021702728563957135, 0.022235923136865558, 0.023253537847561581, 0.02468584587916298, 0.024777409541249192, 0.023401405270657059, 0.022359569274551079, 0.021800096065126343, 0.021496694194596183, 0.021320188693355845, 0.021210132633846999, 0.021137388888177115, 0.021086964884386761, 0.021050627996810959, 0.02102359036144651, 0.021002926956272476, 0.020986774152971718, 0.020973901094359485, 0.020963469257528459, 0.020954891819968437, 0.020947748327690932, 0.020941731218767527, 0.020936611338303667, 0.020932215127378834, 0.020928409186835438, 0.020925089615799228, 0.020922174510734241, 0.020919598598933931, 0.020917309340026228, 0.020915264054107499, 0.020913427778881392, 0.020911771651783442, 0.020910271675102076, 0.020908907763881476, 0.020907663004952184, 0.020906523075234079, 0.020905475781360823, 0.02090451069255821, 0.020903618845813515, 0.020902792507535298, 0.020902024979690636, 0.020901310441212278, 0.020900643817564905, 0.020900020672938939, 0.020899437120740497, 0.020898889748963829, 0.020898375557740378, 0.020897891906907266, 0.020897436471867717, 0.020897007206352184, 0.020896602310956608, 0.020896220206546117, 0.020895859511782973, 0.020895519024174448, 0.020895197704148164, 0.020894894661753278, 0.020894609145660954, 0.020894340534200362, 0.020894088328219186, 0.02089385214560207, 0.020893631717319838, 0.020893426884916529, 0.020893237599372012, 0.02089306392130718, 0.02089290602252537, 0.020892764188910808, 0.020892638824731892, 0.02089253045842477, 0.020892439749963122, 0.020892367499952581, 0.020892314660624821, 0.020892282348948011, 0.020892271862118339, 0.020892284695752911, 0.02089232256517061, 0.02089238743022544, 0.020892481524250345, 0.020892607387782234, 0.020892767907875028, 0.020892966363972993, 0.02089320648151928, 0.020893492494722946, 0.020893829220214558, 0.020894222143700514, 0.020894677522200089, 0.020895202505041826, 0.020895805277542513, 0.020896495232234986, 0.020897283173712516, 0.020898181564692437, 0.020901695623854352, 0.020906888281915847, 0.020914637876166556, 0.020926432739947761, 0.020944931787058897, 0.020975214315210277, 0.021027867318651028, 0.021127721537734991, 0.021343739140362878, 0.021925426921115751, 0.024336541855694671, 0.055225348687143849, 0.034551059997346603, 0.023829124328535286, 0.022192393285072515, 0.021654634066342084, 0.021410158056958471, 0.02127735152234576, 0.021196710965490733, 0.021143958583094234, 0.021107646265790703, 0.021081801950860461, 0.021063084263534836, 0.021049545869249679, 0.021040053628533395, 0.021034012858685048, 0.021031259142879396, 0.021032078417223619, 0.02103738931975397, 0.021049243495762295, 0.021072138907656666, 0.021116877427530427, 0.021214509785905014, 0.021487511324806401, 0.022867244960836874, 0.048122403233704217, 0.022342041067373457, 0.021277016464283718, 0.021073884657622981, 0.021004354591968262, 0.020972994454483709, 0.020956296866213905, 0.020946332182301235, 0.020939856008525663, 0.020935353330449595, 0.020932044662658345, 0.020929497865139798, 0.020927458637655414, 0.020925769805871412, 0.020924330124270189, 0.020923072014655753, 0.02092194894815632, 0.020920927996380685, 0.020919985277056487, 0.020919103082788399, 0.020918268021358138, 0.02091746978189768, 0.020916700298455985, 0.020915953171794878, 0.020915223262514875, 0.020914506400014524, 0.020913799171110723, 0.02091309876430127, 0.020912402853447087, 0.020911709509746808, 0.020911017134261689, 0.02091032440553469, 0.020909630238412885, 0.020908933751269586, 0.02090823423958614, 0.020907531154396895, 0.020906824084490475, 0.020906112741543786, 0.020905396947570754, 0.020904676624220395, 0.020903951783570168, 0.020903222520143934, 0.020902489003945326, 0.020901751474343179, 0.020901010234679662, 0.020900265647496887, 0.020899518130296495, 0.020898768151760345, 0.020898016228370717, 0.020897262921375715, 0.020896508834051319, 0.020895754609215573, 0.020895000926953667, 0.020894248502515249, 0.020893498084347564, 0.020892750452229766, 0.020892006415475867, 0.02089126681117532, 0.020890532502442261, 0.02088980437664642, 0.020889083343600512, 0.02088837033368145, 0.020887666295864745, 0.020886972195654132, 0.020886289012890868, 0.020885617739430113, 0.020884959376674429, 0.020884314932957584, 0.020883685420774824, 0.020883071853859007, 0.020882475244104984, 0.020881896598348212, 0.020881336915006484, 0.020880797180597013, 0.020880278366144197, 0.020879781423496387, 0.020879307281572963, 0.020878856842565321, 0.020878430978118152, 0.02087803052551929, 0.020877656283928007, 0.020877309010673233, 0.020876989417653941, 0.020876698167874283, 0.020876435872146271, 0.020876203085991953, 0.020876000306776204, 0.020875827971099409, 0.02087568645247756, 0.020875576059334371, 0.020875497033327285, 0.02087544954802574, 0.020875433707956369, 0.02087544426846041, 0.020875475932184792, 0.020875528645818694, 0.020875602320685076, 0.020875696833000102, 0.020875812024233012, 0.020875947701562324, 0.020876103638424216, 0.020876279575147306, 0.020876475219667661, 0.0208766902483167, 0.020876924306674208, 0.020877177010477845, 0.020877447946579961, 0.020877736673942066, 0.020878042724657053, 0.020878365604988579, 0.020878704796417343, 0.020879059756683391, 0.020879429920814013, 0.020879814702126572, 0.020880213493196239, 0.020880625666778483, 0.020881050576677201, 0.020881487558549378, 0.020881935930638581, 0.020882394994429697, 0.020882864035219197, 0.020883342322595304, 0.020883829110825203, 0.020884323639146076, 0.020884825131960241, 0.020885332798935088, 0.020885845835011276, 0.020886363420324575, 0.020886884720049154, 0.02088740888417279, 0.020887935047217171, 0.02088846232791941, 0.020888989828894207, 0.020889516636299121, 0.020890041819529151, 0.020890564430970003, 0.02089108350584299, 0.020891598062178184, 0.02089210710095522, 0.020892609606454549, 0.020893104546864199, 0.020893590875189137, 0.020894067530511606, 0.020894533439650829, 0.020894987519269652, 0.02089542867847333, 0.020895855821941714, 0.020896267853630079, 0.020896663681066626, 0.020897042220264023, 0.020897402401251028, 0.020897743174215527, 0.020898063516234196, 0.020898362438545988, 0.020898638994306919, 0.020898892286743496, 0.020899121477601177, 0.020899325795764392, 0.020899504545905768, 0.020899657117006316, 0.020899782990575402, 0.020899881748391108, 0.020899953079578957, 0.020899996786849853, 0.020900012791727863, 0.020900001138614951, 0.020899961997562437, 0.020899895665647584, 0.020899802566887293, 0.020899683250657861, 0.020899538388628614, 0.02089936877025679, 0.020899175296927773, 0.02089895897486, 0.020898720906921939, 0.020898462283532652, 0.02089818437283299, 0.020897888510323495, 0.020897576088167079, 0.020897248544348775, 0.020896907351874685, 0.020896554008175947, 0.020896190024864359, 0.020895816917965205, 0.020895436198729772, 0.020895049365107846, 0.020894657893939166, 0.020894263233902352, 0.020893866799242641, 0.020893469964283734, 0.020893074058715898, 0.020892680363641562, 0.020892290108350593, 0.020891904467790306, 0.020891524560689739, 0.020891151448293635, 0.020890786133658416, 0.020890429561460401, 0.020890082618265464, 0.020889746133208376, 0.020889420879030809, 0.020889107573426838, 0.020888806880646704, 0.020888519413310522, 0.020888245734386017, 0.020887986359286344, 0.020887741758046811, 0.020887512357541896, 0.020887298543707095, 0.020887100663732748, 0.020886919028200401, 0.02088675391313501, 0.020886605561949299, 0.020886474187259332, 0.020886359972553281, 0.020886263073697536, 0.020886183620266823, 0.020886121716687595, 0.020886077443185019, 0.020886050856526936, 0.020886041990558935], [0.020454050773392934, 0.020454065666676208, 0.020454110329469644, 0.020454184710704759, 0.020454288725602329, 0.020454422256173003, 0.020454585151914954, 0.02045477723070507, 0.020454998279879486, 0.020455248057498526, 0.020455526293789834, 0.020455832692763264, 0.020456166933989797, 0.020456528674536477, 0.020456917551048462, 0.020457333181968962, 0.020457775169886921, 0.020458243104002544, 0.020458736562699559, 0.020459255116213604, 0.020459798329385423, 0.020460365764487426, 0.020460956984112419, 0.020461571554112639, 0.020462209046577917, 0.020462869042841097, 0.020463551136499319, 0.020464254936439642, 0.020464980069857155, 0.020465726185254083, 0.0204664929554076, 0.020467280080294335, 0.020468087289958456, 0.020468914347309873, 0.020469761050838052, 0.020470627237225602, 0.020471512783844379, 0.020472417611114742, 0.020473341684706482, 0.020474285017556937, 0.020475247671678888, 0.020476229759726884, 0.020477231446286825, 0.020478252948849127, 0.020479294538421088, 0.020480356539729391, 0.020481439330959254, 0.020482543342972514, 0.020483669057944347, 0.020484817007356878, 0.020485987769289792, 0.020487181964952909, 0.020488400254416613, 0.02048964333151336, 0.02049091191791003, 0.020492206756389564, 0.020493528603432853, 0.020494878221262804, 0.020496256369604369, 0.020497663797530978, 0.020499101235912635, 0.020500569391156229, 0.020502068941136684, 0.020503600534457784, 0.02050516479445225, 0.020506762329627087, 0.020508393752574596, 0.020510059709689679, 0.020511760924349153, 0.020513498256500215, 0.020515272781863072, 0.02051708589416603, 0.020518939434002355, 0.02052083584804678, 0.020522778382537861, 0.020524771315200703, 0.020526820230275692, 0.020528932342211044, 0.020531116875118691, 0.020533385507611353, 0.020535752896567772, 0.020538237299281913, 0.020540861322104531, 0.020543652836142432, 0.020546646118369, 0.020549883301908566, 0.020553416255831417, 0.020557309068166555, 0.020561641385142108, 0.020566512980004833, 0.020572050111614931, 0.020578414530230009, 0.020585816472953759, 0.020594533804986902, 0.020604940869164031, 0.020617553119088788, 0.020633098271870445, 0.020652633736041873, 0.020677748398881313, 0.020710926278481746, 0.020756240192840624, 0.020820769367239061, 0.020917754596997306, 0.021074423908362516, 0.021354354510936698, 0.021934815711901225, 0.023452526866111136, 0.028843618829258216, 0.034155741936899214, 0.024582496529129621, 0.021923533163313517, 0.02114553456180527, 0.020838771807267648, 0.020692308664399101, 0.020613092839801304, 0.020566392895734364, 0.020537088502040907, 0.020517818975045756, 0.020504685862127437, 0.020495484467697046, 0.020488901300335417, 0.020484120430640851, 0.020480617857282793, 0.020478048390484959, 0.020476180746814846, 0.020474859053282127, 0.020473979498991265, 0.020473476092010369, 0.020473312203824985, 0.020473343880363117, 0.020473439667376248, 0.020473601871770008, 0.020473834456746567, 0.020474143228967904, 0.020474536121000201, 0.02047502359237903, 0.020475619184040901, 0.020476340276947939, 0.020477209129102471, 0.020478254299949056, 0.020479512624112434, 0.020481031978695576, 0.020482875218978274, 0.020485125869506477, 0.020487896510792102, 0.020491341406215433, 0.020495675979538587, 0.020501207697637018, 0.020508386597183976, 0.020517890983529113, 0.020530778984478984, 0.020548769998193064, 0.020574798546124248, 0.020614182663441158, 0.020677305958220146, 0.020786445138626958, 0.020995461609875053, 0.021454671582958208, 0.022624366264326606, 0.025039114462511065, 0.024430898599239366, 0.022320695041194907, 0.021413418204178924, 0.021028424891748825, 0.020838509337174432, 0.020732400537055412, 0.020667384523237874, 0.020624703349377382, 0.020595164549533564, 0.020573855487182796, 0.020557962994027765, 0.020545783425080826, 0.020536236395956482, 0.02052860985350308, 0.02052241892945485, 0.020517324090238653, 0.020513081750332479, 0.020509513430749773, 0.020506485910925479, 0.020503898112528122, 0.02050167222579927, 0.020499747578904354, 0.020498076321966988, 0.02049662033676633, 0.02049534898997964, 0.020494237477041773, 0.020493265586113259, 0.020492416765279756, 0.020491677411637561, 0.020491036324861166, 0.020490484284230389, 0.020490013719470769, 0.020489618453770019, 0.020489293503049323, 0.020489034919702442, 0.020488839672047211, 0.020488705552991635, 0.020488631113126585, 0.020488615614780332, 0.020488659004621126, 0.020488761903257942, 0.020488925611030471, 0.020489152129848601, 0.020489444201582493, 0.020489805364155102, 0.020490240027189559, 0.020490753569854164, 0.0204913524644766, 0.020492044430622726, 0.020492838625727344, 0.020493745880118992, 0.020494778986521696, 0.020495953057012302, 0.020497285964189798, 0.020498798888284299, 0.020500516998534134, 0.020502470305993493, 0.020504694736861437, 0.02050723349166915, 0.020510138777993278, 0.020513474035357287, 0.020517316814439648, 0.020521762534303257, 0.020526929429679423, 0.020532965128545601, 0.020540055488820902, 0.020548436604369849, 0.020558411316779431, 0.020570372225969, 0.020584834222377547, 0.02060248121012289, 0.020624234380639487, 0.020651353895219285, 0.020685593555297373, 0.020729441671134462, 0.020786506183352364, 0.020862148997775849, 0.020964566632216759, 0.021106703510464758, 0.021309792930845298, 0.02161025476294073, 0.022073952358897402, 0.022827731973124443, 0.024134609338544839, 0.026585919710378138, 0.031595768707122225, 0.042211451663985142, 0.058852501246477368, 0.061202418999296189, 0.047986548244657035, 0.038102350808318801, 0.032747962736188262, 0.029827222600850887, 0.028167692234535607, 0.027220710747932614, 0.026728683614457481, 0.026575793901807358, 0.026728683614457297, 0.027220710747926917, 0.028167692234537505, 0.029827222600853007, 0.032747962736187519, 0.03810235080828505, 0.047986548244669823, 0.06120241899930394, 0.058852501246441806, 0.042211451663961466, 0.031595768707139309, 0.026585919710377971, 0.024134609338547035, 0.022827731973124914, 0.022073952358897982, 0.021610254762940574, 0.021309792930845443, 0.021106703510464835, 0.020964566632216689, 0.020862148997775824, 0.020786506183352323, 0.020729441671134434, 0.020685593555297359, 0.020651353895219299, 0.020624234380639466, 0.020602481210122887, 0.020584834222377536, 0.02057037222596899, 0.020558411316779435, 0.020548436604369842, 0.020540055488820912, 0.020532965128545601, 0.020526929429679427, 0.020521762534303253, 0.020517316814439652, 0.020513474035357297, 0.020510138777993278, 0.020507233491669156, 0.02050469473686144, 0.020502470305993493, 0.020500516998534141, 0.020498798888284299, 0.020497285964189794, 0.020495953057012309, 0.020494778986521692, 0.020493745880118996, 0.020492838625727348, 0.020492044430622729, 0.020491352464476607, 0.020490753569854157, 0.020490240027189553, 0.020489805364155102, 0.020489444201582489, 0.020489152129848601, 0.020488925611030471, 0.020488761903257942, 0.020488659004621119, 0.020488615614780319, 0.020488631113126581, 0.020488705552991628, 0.020488839672047211, 0.020489034919702439, 0.020489293503049316, 0.020489618453770016, 0.020490013719470769, 0.020490484284230386, 0.020491036324861163, 0.020491677411637561, 0.020492416765279752, 0.020493265586113266, 0.020494237477041769, 0.020495348989979643, 0.020496620336766327, 0.020498076321966995, 0.020499747578904354, 0.02050167222579927, 0.020503898112528122, 0.020506485910925472, 0.020509513430749769, 0.020513081750332479, 0.02051732409023866, 0.020522418929454837, 0.02052860985350307, 0.020536236395956468, 0.020545783425080833, 0.020557962994027786, 0.02057385548718281, 0.020595164549533609, 0.020624703349377313, 0.020667384523237881, 0.020732400537055173, 0.020838509337173971, 0.021028424891748533, 0.021413418204178532, 0.02232069504119576, 0.024430898599240369, 0.025039114462514316, 0.02262436626432484, 0.021454671582959536, 0.020995461609875227, 0.020786445138627006, 0.020677305958220267, 0.020614182663441248, 0.020574798546124269, 0.020548769998193033, 0.020530778984478967, 0.020517890983529082, 0.020508386597183972, 0.020501207697637001, 0.020495675979538577, 0.020491341406215429, 0.020487896510792105, 0.020485125869506467, 0.020482875218978267, 0.020481031978695576, 0.020479512624112434, 0.02047825429994906, 0.020477209129102461, 0.020476340276947939, 0.020475619184040908, 0.020475023592379023, 0.020474536121000201, 0.0204741432289679, 0.020473834456746574, 0.020473601871770011, 0.020473439667376244, 0.020473343880363117, 0.020473312203824982, 0.020473328025863449, 0.020473375674160528, 0.02047345569930175, 0.020473569032549242, 0.020473717006808712, 0.020473901387090158, 0.020474124411645749, 0.020474388845422541, 0.020474698048022325, 0.020475056059054749, 0.020475467704653468, 0.020475938730069095, 0.020476475964751922, 0.02047708752832441, 0.020477783088506431, 0.020478574185660074, 0.020479474643550665, 0.020480501092734762, 0.020481673642510814, 0.020483016750836996, 0.020484560360906227, 0.02048634140104879, 0.020488405785811056, 0.020490811117592628, 0.02049363038171163, 0.020496957072368843, 0.020500912415052107, 0.020505655718386313, 0.020511399494474083, 0.02051843201228408, 0.020527151733901419, 0.02053812129064601, 0.020552154623159968, 0.020570462454753139, 0.020594904606191431, 0.020628447214500727, 0.020676034043907818, 0.020746345567161852, 0.020855588565861616, 0.021036236757481237, 0.021358293276856226, 0.021978541949266822, 0.023181732228237464, 0.024714307436248684, 0.0243686023324085, 0.022821070094079899, 0.02182726833117624, 0.021313034407768786, 0.021035078399728905, 0.020872585663697551, 0.02077062360510664, 0.020702822140931269, 0.020655572776306991, 0.020621366048683365, 0.020595811666961734, 0.020576214014917341, 0.02056084771598609, 0.020548568490737256, 0.020538593895300616, 0.020530374527098043, 0.020523515566029472, 0.020517727424662856, 0.020512793816924387, 0.020508550570881696, 0.020504871250682198, 0.020501657200034305, 0.020498830520455542, 0.020496329036510486, 0.020494102630860999, 0.020492110539356984, 0.020490319329227406, 0.020488701370126997, 0.020487233665371144, 0.020485896949549713, 0.020484674985328299, 0.020483554010731469, 0.020482522301207742, 0.020481569820034976, 0.02048068793729144, 0.020479869202468165, 0.020479107159362343, 0.020478396194534731, 0.020477731412592012, 0.020477108533046583, 0.020476523804641111, 0.020475973933893839, 0.020475456025291602, 0.020474967531077998, 0.020474506208991619, 0.020474070086630311, 0.020473657431370588, 0.020473266724974706, 0.020472896642179744, 0.020472546032694373, 0.020472213906136228, 0.020471899419529618, 0.020471601867056561, 0.020471320671814289, 0.02047105537938378, 0.020470805653058283, 0.020470571270618944, 0.020470352122579687, 0.020470148211854462, 0.020469959654830342, 0.020469786683858272, 0.020469629651202251, 0.02046948903451732, 0.020469365443958332, 0.020469259631055212, 0.020469172499528687, 0.020469105118263289, 0.020469058736703686, 0.02046903480299787, 0.02046903498527838, 0.020469061196552982, 0.02046911562377185, 0.020469200761754121, 0.020469319452796102, 0.020469474932953445, 0.020469670886197656, 0.020469911507902595, 0.020470201579432138, 0.020470546555991776, 0.020470952670394657, 0.020471427056004497, 0.020471977892887513, 0.020472614582181598, 0.020473347954931966, 0.020476263584898256, 0.020480641173042487, 0.020487233680431052, 0.020497303640983625, 0.020513075159580077, 0.020538717962841718, 0.020582703793329701, 0.020664197882720864, 0.02083363067437136, 0.021257937241281138, 0.022758880939367024, 0.035074708301716356, 0.04998249542098325, 0.024643998518682916, 0.02209145354869798, 0.021367988101971991, 0.021061580353070802, 0.020901840949194589, 0.020807399377011655, 0.020746757518354326, 0.020705584837753185, 0.020676596066536573, 0.020655793085466594, 0.020640880389247176, 0.020630538802271677, 0.020624085905571583, 0.020621344796087075, 0.020622670545891838, 0.020629178244765536, 0.020643376377215694, 0.020670871198769578, 0.020725569738227492, 0.020849661020935897, 0.02122714071772951, 0.023666256227607207, 0.034052469262831772, 0.021468689144792424, 0.020785758426077144, 0.020630361406999927, 0.020573314641986171, 0.020546628528432469, 0.020532104862809975, 0.020523311148299212, 0.02051753646817784, 0.020513489298660117, 0.020510495671170133, 0.020508178073960999, 0.020506312636273158, 0.020504760168690329, 0.020503430585130926, 0.020502263516016223, 0.020501217247375966, 0.02050026215765861, 0.020499376688879651, 0.020498544798951031, 0.020497754307827267, 0.020496995798489015, 0.020496261871119248, 0.020495546627234941, 0.020494845306604462, 0.020494154027554428, 0.020493469598410075, 0.02049278937861921, 0.02049211117505664, 0.020491433163553611, 0.020490753828723365, 0.020490071917199464, 0.020489386400807046, 0.020488696447161728, 0.020488001395876542, 0.020487300739045585, 0.020486594105022751, 0.020485881244768158, 0.02048516202021973, 0.020484436394283431, 0.020483704422135197, 0.020482966243601703, 0.020482222076441292, 0.020481472210386275, 0.020480717001837512, 0.020479956869123236, 0.020479192288249813, 0.020478423789083197, 0.020477651951907934, 0.020476877404315953, 0.020476100818381693, 0.020475322908082776, 0.020474544426927713, 0.02047376616575363, 0.020472988950658601, 0.020472213641034305, 0.020471441127666135, 0.020470672330869313, 0.020469908198630923, 0.020469149704729791, 0.020468397846807596, 0.020467653644367104, 0.02046691813667537, 0.020466192380552427, 0.020465477448028544, 0.020464774423855945, 0.020464084402864041, 0.020463408487150184, 0.020462747783101497, 0.020462103398246348, 0.020461476437938032, 0.020460868001876291, 0.020460279180476174, 0.020459711051097146, 0.020459164674148812, 0.020458641089093076, 0.020458141310365666, 0.020457666323242949, 0.020457217079682694, 0.020456794494169796, 0.020456399439599919, 0.020456032743235705, 0.020455695182771079, 0.020455387482539982, 0.020455110309905516, 0.020454864271865478, 0.020454649911908429, 0.020454467707153371, 0.020454318065803292, 0.020454201324940424, 0.020454117748687408, 0.020454067526755045, 0.020454050773392934, 0.020454061942803279, 0.020454095431614392, 0.020454151181624185, 0.020454229096020866, 0.020454329039668467, 0.020454450839502612, 0.020454594285032528, 0.020454759128944421, 0.020454945087800123, 0.020455151842824065, 0.020455379040770889, 0.020455626294864835, 0.020455893185801901, 0.020456179262804439, 0.020456484044718146, 0.020456807021140194, 0.02045714765356749, 0.020457505376553685, 0.020457879598863426, 0.02045826970461238, 0.020458675054381859, 0.020459094986297045, 0.020459528817058283, 0.020459975842915347, 0.020460435340575508, 0.020460906568036879, 0.020461388765339338, 0.020461881155226964, 0.020462382943716551, 0.020462893320568644, 0.020463411459659079, 0.02046393651925053, 0.020464467642165991, 0.020465003955867807, 0.020465544572448657, 0.020466088588542999, 0.020466635085170833, 0.020467183127528051, 0.020467731764741069, 0.020468280029606881, 0.020468826938342812, 0.020469371490374273, 0.020469912668192029, 0.020470449437314468, 0.020470980746393769, 0.020471505527508194, 0.020472022696685851, 0.020472531154707665, 0.020473029788239332, 0.020473517471343031, 0.020473993067419604, 0.020474455431630709, 0.020474903413847508, 0.020475335862168185, 0.020475751627039594, 0.020476149566010259, 0.020476528549130447, 0.020476887465002321, 0.020477225227467123, 0.020477540782898786, 0.020477833118054109, 0.02047810126840759, 0.020478344326878083, 0.020478561452831438, 0.020478751881222224, 0.020478914931717614, 0.020479050017629806, 0.020479156654469914, 0.020479234467928386, 0.020479283201084664, 0.020479302720653455, 0.020479293022086269, 0.020479254233366238, 0.020479186617360125, 0.020479090572623579, 0.020478966632593878, 0.020478815463145273, 0.02047863785852605, 0.020478434735739796, 0.02047820712747471, 0.020477956173723205, 0.020477683112265069, 0.020477389268213665, 0.020477076042840908, 0.020476744901906003, 0.020476397363713515, 0.02047603498711888, 0.020475659359685743, 0.020475272086180097, 0.020474874777562341, 0.020474469040612814, 0.020474056468298561, 0.02047363863096233, 0.020473217068388738, 0.020472793282778828, 0.020472368732642819, 0.020471944827602777, 0.020471522924081279, 0.020471104321840305, 0.020470690261324326, 0.020470281921755054, 0.020469880419919911, 0.02046948680959321, 0.020469102081527489, 0.020468727163951955, 0.020468362923515459, 0.020468010166613086, 0.020467669641037169, 0.02046734203789612, 0.020467027993747531, 0.020466728092894824, 0.020466442869800379, 0.020466172811571419, 0.020465918360478636, 0.020465679916470855, 0.020465457839653037, 0.020465252452697789, 0.020465064043164453, 0.020464892865702612, 0.020464739144120041, 0.020464603073297713, 0.02046448482093725, 0.020464384529128368, 0.020464302315725786, 0.020464238275527524, 0.02046419248124734, 0.020464164984276383, 0.020464155815229916], [0.020033714956782064, 0.02003373063209421, 0.02003377763947798, 0.020033855923384438, 0.020033965391594643, 0.020034105915761647, 0.020034277332165451, 0.020034479442676875, 0.020034712015925635, 0.020034974788666563, 0.020035267467337105, 0.020035589729798322, 0.020035941227250748, 0.020036321586315686, 0.020036730411271773, 0.020037167286436241, 0.020037631778679368, 0.02003812344006059, 0.020038641810574149, 0.02003918642099177, 0.020039756795789974, 0.020040352456149144, 0.020040972923011706, 0.020041617720186505, 0.020042286377486725, 0.020042978433888543, 0.020043693440697962, 0.020044430964713245, 0.020045190591370259, 0.020045971927858314, 0.02004677460619354, 0.020047598286236895, 0.020048442658643348, 0.020049307447728117, 0.020050192414235061, 0.020051097357991172, 0.020052022120429641, 0.020052966586962255, 0.020053930689179683, 0.020054914406855768, 0.020055917769728891, 0.020056940859030398, 0.020057983808726181, 0.020059046806434163, 0.020060130093975954, 0.02006123396751772, 0.020062358777251654, 0.020063504926567038, 0.020064672870658991, 0.020065863114524209, 0.020067076210297109, 0.020068312753888897, 0.020069573380906706, 0.020070858761852391, 0.020072169596633386, 0.020073506608463212, 0.020074870537290124, 0.020076262132972315, 0.02007768214851997, 0.020079131333852324, 0.020080610430674099, 0.020082120169263345, 0.020083661268182319, 0.020085234438174702, 0.020086840391793113, 0.020088479860605676, 0.02009015362215091, 0.020091862539135863, 0.020093607613691437, 0.020095390059798292, 0.020097211397269284, 0.020099073570917756, 0.020100979098769747, 0.020102931253425511, 0.020104934281007219, 0.020106993662650296, 0.020109116424362826, 0.020111311502512386, 0.020113590174505373, 0.02011596656780433, 0.020118458265824108, 0.020121087037187214, 0.020123879726312993, 0.020126869359813521, 0.020130096546821005, 0.020133611285474754, 0.020137475337542562, 0.020141765406913901, 0.020146577469245579, 0.020152032772470865, 0.020158286300824616, 0.020165538938132579, 0.020174055305196267, 0.020184190515799172, 0.020196431349407809, 0.020211461487366928, 0.020230268420665245, 0.020254325659684332, 0.020285917952977659, 0.020328754556218277, 0.020389205215371162, 0.0204790042669949, 0.020621813817843247, 0.020871460731550849, 0.021372754958073181, 0.022622243673367744, 0.026935776710449544, 0.036193528357919703, 0.025476568705853856, 0.021808098554531048, 0.02082729813641649, 0.020461984487151873, 0.020293550962236229, 0.020204541261493725, 0.020152924219370445, 0.020120928011718022, 0.020100083752460557, 0.020085978139208538, 0.020076146591385586, 0.020069135201392002, 0.020064047556840957, 0.020060310874109644, 0.020057548587661456, 0.020055507754861094, 0.020054016148611787, 0.020052956165212622, 0.020052248666473038, 0.020051842955514897, 0.020051710748685194, 0.020051737144389126, 0.020051816923701952, 0.020051951888463496, 0.020052145127657191, 0.02005240115276135, 0.020052726100918888, 0.020053128021415002, 0.020053617268285855, 0.020054207032031431, 0.020054914057875871, 0.020055759619136099, 0.020056770845713962, 0.020057982555499232, 0.020059439810462196, 0.020061201536205567, 0.020063345732870871, 0.020065977118513843, 0.02006923857879752, 0.020073328730115123, 0.020078529593076419, 0.020085251548854759, 0.020094108975467657, 0.020106052764740784, 0.020122613763711831, 0.020146375785785611, 0.020181958605309119, 0.020238234827583992, 0.020333858687024996, 0.02051287288311578, 0.020895577509429032, 0.02186066637085753, 0.024275457343511931, 0.024885843887567972, 0.022338968193711364, 0.021156418534746542, 0.020680218218128234, 0.020455395987826558, 0.020333578403241608, 0.020260543343595432, 0.020213357814299983, 0.020181095108993487, 0.020158039941111181, 0.020140974159566526, 0.020127974993484198, 0.02011783648104137, 0.020109771064095304, 0.020103246593107853, 0.020097892877695742, 0.020093445846050252, 0.020089712963581193, 0.020086551139506525, 0.02008385221993482, 0.020081533228631553, 0.020079529658370836, 0.020077790769268036, 0.020076276235902267, 0.020074953718543169, 0.020073797078748502, 0.020072785051591317, 0.020071900246344775, 0.020071128386749293, 0.020070457728354613, 0.020069878608406637, 0.020069383096187957, 0.02006896472045188, 0.020068618256800452, 0.020068339562336682, 0.020068125448197166, 0.02006797358300336, 0.020067882422107591, 0.020067851158927338, 0.020067879695784316, 0.020067968632584768, 0.020068119272463724, 0.020068333644223876, 0.020068614542074904, 0.020068965583863157, 0.020069391289715122, 0.020069897183844894, 0.020070489923244048, 0.02007117745814295, 0.020071969230579766, 0.020072876419233759, 0.020073912241001975, 0.0200750923227925, 0.02007643516090608, 0.020077962690497844, 0.020079700994389271, 0.020081681189550678, 0.020083940541752977, 0.020086523875417695, 0.020089485368327453, 0.020092890852131871, 0.020096820783218724, 0.020101374110024276, 0.0201066733504985, 0.02011287131978045, 0.020120160132523924, 0.020128783376993857, 0.02013905276706885, 0.020151371201228136, 0.020166265122103476, 0.02018443059032482, 0.020206799928991746, 0.020234639803226269, 0.02026969832877995, 0.02031443038938413, 0.020372350845750807, 0.020448602719957, 0.020550897979915352, 0.020691126579279621, 0.020888210622300101, 0.021173379091047186, 0.021600372823512647, 0.022266200930277431, 0.023355577243872161, 0.025240101765977112, 0.028698288213114671, 0.035301999537299428, 0.047096830385782454, 0.060492693099702843, 0.061469755717808432, 0.052263936864824931, 0.04397521819606065, 0.038784999932634706, 0.035826911996309392, 0.034317895856161289, 0.03385473678206638, 0.034317895856161379, 0.03582691199629174, 0.038784999932641985, 0.043975218196065494, 0.052263936864822731, 0.061469755717778816, 0.060492693099694829, 0.047096830385770408, 0.035301999537278299, 0.028698288213107458, 0.02524010176598308, 0.023355577243872078, 0.022266200930278521, 0.021600372823512914, 0.02117337909104753, 0.020888210622299997, 0.020691126579279729, 0.020550897979915404, 0.020448602719956955, 0.020372350845750779, 0.020314430389384099, 0.02026969832877993, 0.020234639803226259, 0.02020679992899176, 0.02018443059032481, 0.020166265122103472, 0.020151371201228126, 0.020139052767068844, 0.020128783376993864, 0.020120160132523924, 0.020112871319780457, 0.0201066733504985, 0.020101374110024283, 0.020096820783218724, 0.02009289085213186, 0.020089485368327453, 0.020086523875417699, 0.020083940541752967, 0.020081681189550685, 0.020079700994389271, 0.020077962690497848, 0.020076435160906087, 0.020075092322792493, 0.020073912241001975, 0.020072876419233766, 0.020071969230579769, 0.020071177458142957, 0.020070489923244048, 0.020069897183844897, 0.020069391289715122, 0.020068965583863153, 0.020068614542074904, 0.020068333644223876, 0.020068119272463728, 0.020067968632584768, 0.020067879695784316, 0.020067851158927334, 0.020067882422107591, 0.020067973583003364, 0.020068125448197163, 0.020068339562336685, 0.020068618256800449, 0.020068964720451877, 0.020069383096187957, 0.020069878608406637, 0.02007045772835462, 0.020071128386749296, 0.020071900246344778, 0.020072785051591317, 0.020073797078748505, 0.020074953718543169, 0.020076276235902267, 0.020077790769268029, 0.020079529658370843, 0.020081533228631557, 0.020083852219934823, 0.020086551139506539, 0.020089712963581204, 0.020093445846050245, 0.020097892877695742, 0.020103246593107867, 0.020109771064095287, 0.020117836481041363, 0.020127974993484191, 0.020140974159566533, 0.020158039941111212, 0.020181095108993505, 0.020213357814300038, 0.020260543343595321, 0.020333578403241626, 0.020455395987826117, 0.020680218218127235, 0.021156418534745949, 0.022338968193710028, 0.024885843887569696, 0.024275457343510699, 0.021860666370859993, 0.020895577509428498, 0.020512872883116245, 0.020333858687025069, 0.020238234827584009, 0.020181958605309181, 0.020146375785785656, 0.020122613763711841, 0.020106052764740763, 0.020094108975467644, 0.020085251548854738, 0.020078529593076423, 0.020073328730115116, 0.02006923857879751, 0.020065977118513833, 0.020063345732870871, 0.020061201536205574, 0.020059439810462192, 0.020057982555499228, 0.020056770845713959, 0.020055759619136103, 0.020054914057875867, 0.02005420703203142, 0.020053617268285858, 0.020053128021415005, 0.020052726100918884, 0.020052401152761353, 0.020052145127657191, 0.020051951888463496, 0.020051816923701955, 0.020051737144389122, 0.020051710748685191, 0.020051723933834181, 0.020051763631670591, 0.020051830272290787, 0.020051924582383564, 0.020052047600383011, 0.02005220069842318, 0.020052385611882769, 0.020052604477604517, 0.020052859882232352, 0.020053154922551233, 0.020053493280270767, 0.020053879314403666, 0.020054318175308023, 0.02005481594566139, 0.020055379815218217, 0.020056018298311967, 0.020056741505902531, 0.020057561487827197, 0.020058492666207278, 0.020059552388305295, 0.020060761637423843, 0.020062145955048596, 0.020063736648433042, 0.020065572388402144, 0.020067701347340653, 0.020070184095162133, 0.020073097574611162, 0.020076540638281473, 0.020080641885208011, 0.020085570949177813, 0.020091555079086863, 0.020098904025546236, 0.020108048309946978, 0.020119599694440403, 0.020134449715058001, 0.020153935951213127, 0.02018013405831625, 0.02021639488838825, 0.020268386443957103, 0.02034624318401685, 0.020469318578189597, 0.020677491499819713, 0.021059571619331901, 0.021819228412982325, 0.023288861722736576, 0.024739372292618859, 0.023728035103340182, 0.022138547841512771, 0.021256194538332017, 0.020808404230983169, 0.020564387501669917, 0.020419944944163219, 0.020328239540109653, 0.020266640962578346, 0.020223348714473652, 0.020191782106987393, 0.020168056550884945, 0.020149766425134504, 0.02013536034389074, 0.020123802602052526, 0.020114380867972535, 0.020106592391319539, 0.020100074223824867, 0.020094559066837051, 0.020089846549082795, 0.020085784075933026, 0.020082253775917696, 0.020079163425097923, 0.020076440023050864, 0.020074025171204289, 0.02007187169819381, 0.0200699411621213, 0.020068201978683822, 0.020066628002159664, 0.020065197438231493, 0.020063892002829948, 0.020062696265367597, 0.020061597131578381, 0.020060583433059876, 0.020059645599095878, 0.020058775392457359, 0.020057965695341958, 0.020057210334899017, 0.020056503940228482, 0.020055841824572679, 0.020055219887803195, 0.02005463453535888, 0.020054082610599454, 0.020053561338163734, 0.020053068276408285, 0.02005260127738237, 0.020052158453095839, 0.020051738147074796, 0.020051338910389641, 0.020050959481494011, 0.020050598769336007, 0.020050255839305153, 0.020049929901661101, 0.020049620302159819, 0.020049326514651016, 0.020049048135470281, 0.020048784879492739, 0.020048536577753229, 0.020048303176572475, 0.020048084738161422, 0.020047881442706458, 0.020047693591969413, 0.020047521614467063, 0.020047366072328227, 0.020047227669961733, 0.020047107264708163, 0.020047005879692291, 0.020046924719144231, 0.020046865186516084, 0.020046828905790653, 0.020046817746460631, 0.020046833852755581, 0.02004687967781215, 0.020046958023626549, 0.020047072087802847, 0.020047225518324562, 0.020047422477839222, 0.02004766771927111, 0.020047966674979888, 0.020048325562186511, 0.020048751508018551, 0.020049252698322986, 0.020049838555402686, 0.020052221686700917, 0.020055879328520761, 0.020061458609738514, 0.020070034160475821, 0.020083474681759417, 0.02010522346969416, 0.020142114331873479, 0.020209109974822032, 0.020343740414051622, 0.020661111563762789, 0.021653366616772255, 0.02744931083070274, 0.084986495610522059, 0.026433041565474161, 0.022124710077124913, 0.021119580688871559, 0.020728901047868814, 0.020534725067723903, 0.020423333415627676, 0.020353269726744408, 0.020306410822423033, 0.020273800881484848, 0.020250627090741113, 0.020234170261587584, 0.02022288828596203, 0.020215995335661003, 0.020213301804346488, 0.020215249242487032, 0.02022319744746565, 0.020240232899185442, 0.020273404420137135, 0.020340845810841959, 0.020501065788303043, 0.02104189424616024, 0.025952442841147352, 0.02595811030762778, 0.020776005898045975, 0.020313094413708457, 0.020192009941102807, 0.020144807801267359, 0.020121996658314052, 0.020109331287580801, 0.02010155899412806, 0.020096404932671504, 0.020092764954211972, 0.020090055196498674, 0.020087945442899689, 0.02008623844471363, 0.020084810874691755, 0.020083582550680452, 0.020082499531416002, 0.020081524412097464, 0.02008063053831409, 0.020079798441108767, 0.020079013576433297, 0.020078264854770225, 0.020077543662742885, 0.020076843198643949, 0.020076158012702579, 0.020075483683542263, 0.02007481658685821, 0.020074153727551763, 0.020073492616170554, 0.02007283117669317, 0.020072167676756569, 0.020071500674129737, 0.020070828975068081, 0.020070151601440236, 0.0200694677643929, 0.020068776842934764, 0.020068078366258513, 0.020067371998934023, 0.020066657528333743, 0.020065934853816973, 0.020065203977320825, 0.020064464995094948, 0.020063718090381769, 0.020062963526892168, 0.020062201642960867, 0.020061432846290944, 0.020060657609214837, 0.020059876464411729, 0.020059090001029931, 0.02005829886116884, 0.020057503736678917, 0.020056705366240702, 0.020055904532685589, 0.020055102060521891, 0.020054298813631022, 0.020053495693098729, 0.020052693635147414, 0.020051893609136139, 0.020051096615596283, 0.020050303684271405, 0.020049515872132176, 0.020048734261338203, 0.020047959957121018, 0.020047194085564657, 0.020046437791262538, 0.020045692234832484, 0.020044958590274227, 0.020044238042157228, 0.020043531782629839, 0.020042841008244373, 0.020042166916596427, 0.020041510702780218, 0.020040873555666045, 0.020040256654009433, 0.020039661162405638, 0.020039088227106865, 0.02003853897172337, 0.020038014492833142, 0.020037515855528008, 0.020037044088927283, 0.020036600181692645, 0.020036185077579934, 0.020035799671065811, 0.020035444803088092, 0.020035121256939334, 0.020034829754353431, 0.020034570951824399, 0.020034345437195046, 0.020034153726551866, 0.020033996261459529, 0.020033873406565546, 0.020033785447601926, 0.020033732589806497, 0.020033714956782064, 0.020033726712676649, 0.020033761959369067, 0.020033820633948141, 0.02003390263177043, 0.020034007806770782, 0.020034135971893005, 0.020034286899635968, 0.020034460322710147, 0.020034655934797856, 0.020034873391409757, 0.020035112310829203, 0.020035372275135091, 0.020035652831293146, 0.020035953492304921, 0.020036273738403235, 0.020036613018282391, 0.020036970750351036, 0.020037346323995557, 0.020037739100841702, 0.0200381484160022, 0.020038573579298412, 0.020039013876444193, 0.020039468570181115, 0.020039936901353968, 0.020040418089917224, 0.020040911335863196, 0.020041415820064246, 0.020041930705022387, 0.020042455135520928, 0.020042988239174775, 0.020043529126877131, 0.020044076893142793, 0.020044630616350187, 0.020045189358886467, 0.02004575216720271, 0.020046318071788822, 0.020046886087081061, 0.020047455211317667, 0.020048024426361933, 0.020048592697515345, 0.020049158973347164, 0.020049722185570554, 0.020050281248999116, 0.020050835061621686, 0.020051382504836748, 0.020051922443891288, 0.020052453728572103, 0.020052975194200004, 0.02005348566297923, 0.020053983945755385, 0.020054468844234778, 0.020054939153716651, 0.020055393666386305, 0.020055831175212192, 0.020056250478482508, 0.02005665038500766, 0.020057029720002659, 0.02005738733164911, 0.020057722098319783, 0.020058032936429177, 0.020058318808852647, 0.020058578733833651, 0.020058811794275322, 0.020059017147288704, 0.020059194033847243, 0.02005934178837613, 0.020059459848087498, 0.020059547761858844, 0.020059605198444064, 0.020059631953805241, 0.020059627957358831, 0.020059593276943784, 0.020059528122340676, 0.020059432847200225, 0.02005930794927583, 0.020059154068896363, 0.020058971985661721, 0.020058762613391373, 0.020058526993404189, 0.02005826628625311, 0.020057981762079988, 0.020057674789789919, 0.020057346825271764, 0.020056999398909526, 0.020056634102637406, 0.020056252576791299, 0.020055856496999529, 0.020055447561338841, 0.02005502747795861, 0.020054597953347998, 0.020054160681390685, 0.020053717333319288, 0.020053269548650346, 0.020052818927150554, 0.020052367021856983, 0.020051915333149976, 0.02005146530385634, 0.020051018315343047, 0.02005057568454862, 0.020050138661888768, 0.020049708429966076, 0.020049286103009066, 0.02004887272696388, 0.020048469280161612, 0.020048076674485476, 0.02004769575696445, 0.020047327311723307, 0.020046972062222834, 0.020046630673728034, 0.020046303755947282, 0.020045991865789412, 0.02004569551019092, 0.020045415148969865, 0.020045151197667678, 0.020044904030344521, 0.020044673982297798, 0.020044461352677526, 0.020044266406975621, 0.020044089379369842, 0.02004393047490572, 0.020043789871502744, 0.020043667721773521, 0.020043564154646542, 0.020043479276785028, 0.020043413173796112, 0.020043365911225589, 0.020043337535334899, 0.020043328073657763], [0.019618247728911971, 0.019618264172245652, 0.019618313482235264, 0.019618395598963775, 0.019618510422959638, 0.019618657815779827, 0.019618837600821663, 0.019619049564358899, 0.019619293456796607, 0.019619568994138026, 0.019619875859655495, 0.019620213705756791, 0.019620582156036855, 0.019620980807504435, 0.019621409232972134, 0.019621866983597865, 0.019622353591564952, 0.019622868572887895, 0.019623411430330147, 0.019623981656420278, 0.019624578736552455, 0.019625202152157253, 0.019625851383928684, 0.019626525915093423, 0.019627225234708348, 0.019627948840972412, 0.019628696244539386, 0.019629466971817746, 0.019630260568244375, 0.019631076601518634, 0.019631914664783229, 0.019632774379738451, 0.019633655399675581, 0.019634557412415085, 0.0196354801431344, 0.019636423357068805, 0.01963738686206818, 0.019638370510990207, 0.019639374203909075, 0.019640397890116238, 0.019641441569887303, 0.019642505295986181, 0.019643589174874569, 0.019644693367591639, 0.019645818090265707, 0.019646963614216875, 0.019648130265607727, 0.019649318424598033, 0.019650528523960674, 0.019651761047119395, 0.019653016525576553, 0.019654295535711193, 0.019655598694947256, 0.019656926657319128, 0.019658280108500969, 0.019659659760418446, 0.019661066345631067, 0.019662500611762501, 0.01966396331636899, 0.019665455222775401, 0.019666977097577323, 0.019668529710708302, 0.01967011383920431, 0.019671730276062276, 0.019673379845882761, 0.019675063429302996, 0.019676781998558185, 0.019678536666844989, 0.019680328754492923, 0.019682159875266909, 0.019684032046425624, 0.019685947826453779, 0.019687910484697615, 0.019689924207515024, 0.019691994346093145, 0.019694127711924268, 0.019696332927263419, 0.01969862083999345, 0.019701005015570806, 0.019703502323621787, 0.019706133643992287, 0.019708924727573535, 0.019711907262388934, 0.019715120217226999, 0.019718611566576168, 0.01972244054649339, 0.019726680658900889, 0.019731423744043845, 0.019736785598139885, 0.019742913860898895, 0.019749999297257126, 0.019758292260086529, 0.019768127250811986, 0.019779960485649721, 0.019794429009322281, 0.019812446805603189, 0.019835367104396734, 0.019865268961472313, 0.019905490753022857, 0.019961688767869447, 0.020044109148306469, 0.020172969998846449, 0.020392952957513429, 0.020819549065810336, 0.021827336748856705, 0.025091688278617113, 0.036164302422349213, 0.027246510080364265, 0.021854666366788806, 0.02055499563258039, 0.020104736248270146, 0.019906000960426835, 0.019803933347319242, 0.01974591971004502, 0.019710489362722239, 0.01968767045443617, 0.019672366534554099, 0.019661774361841702, 0.019654260025356442, 0.019648825686176905, 0.019644838368690989, 0.019641883948882544, 0.019639684742432783, 0.019638051125129605, 0.019636852204517635, 0.01963599759881697, 0.019635425949498249, 0.01963509769044432, 0.019634990651174751, 0.019635012784201863, 0.019635079653028208, 0.019635192685618474, 0.019635354325588772, 0.019635568132193647, 0.019635838929724564, 0.019636173016896314, 0.019636578451667362, 0.019637065433569693, 0.019637646814915175, 0.019638338785565479, 0.01963916179542451, 0.019640141807799778, 0.01964131202072178, 0.019642715261188659, 0.019644407364277479, 0.019646462021347101, 0.019648977865682645, 0.019652089044911315, 0.019655981367713404, 0.019660917621174681, 0.019667278471995064, 0.019675630845531849, 0.01968684685615834, 0.019702320442186262, 0.01972438412092712, 0.019757164940041184, 0.019808488070649437, 0.019894547087718213, 0.020052850731535257, 0.020383837058396113, 0.021204379893479022, 0.023447167677612991, 0.025207105282241613, 0.022402094467431279, 0.020910199081376285, 0.020335904276263552, 0.020075502789565141, 0.019938268684709447, 0.019857564724053041, 0.019806147674804493, 0.019771357504299508, 0.019746695858349116, 0.019728556691263752, 0.019714810327069045, 0.019704133552813183, 0.01969566893603792, 0.019688840880910271, 0.019683251185524418, 0.019678617143257582, 0.019674733479216559, 0.019671448180404172, 0.019668646710069234, 0.019666241438193465, 0.019664164406184802, 0.019662362275009726, 0.019660792734625381, 0.019659421910859506, 0.019658222465447885, 0.019657172185756643, 0.019656252925743724, 0.019655449802452082, 0.019654750580910967, 0.019654145199748035, 0.019653625403219858, 0.019653184454751036, 0.019652816913730796, 0.019652518462106812, 0.019652285770812048, 0.019652116398649645, 0.019652008718214025, 0.019651961864928472, 0.019651975706467543, 0.019652050830802958, 0.019652188551939419, 0.019652390933149352, 0.019652660828222569, 0.019653001941960492, 0.019653418911908693, 0.019653917414179913, 0.01965450429722318, 0.019655187748605623, 0.019655977501366204, 0.019656885088375833, 0.019657924155522699, 0.019659110847609743, 0.019660464284833177, 0.01966200715292429, 0.01966376643691483, 0.019665774337632804, 0.019668069422290328, 0.019670698077078424, 0.019673716352223633, 0.019677192320918399, 0.019681209116435838, 0.019685868871747336, 0.019691297870743141, 0.019697653341202149, 0.019705132494419887, 0.019713984671724555, 0.019724527835856546, 0.019737171211615803, 0.019752446741810252, 0.019771053355467482, 0.019793920135137821, 0.019822297809934355, 0.019857893439958935, 0.01990307219631118, 0.019961165489885767, 0.020036951376485361, 0.020137420670333004, 0.020273028992480027, 0.020459797751775453, 0.020722940105624896, 0.021103303032295049, 0.021669138401818163, 0.022538103606789227, 0.023918636237141036, 0.02618466661179546, 0.029986362294306911, 0.036280635424734795, 0.045674948077978811, 0.056114684785265573, 0.062200556796996383, 0.061949209181466576, 0.058922312797219378, 0.056348094771849828, 0.055414576633652984, 0.056348094771850328, 0.058922312797191727, 0.061949209181470836, 0.062200556796994939, 0.056114684785267328, 0.045674948078025926, 0.036280635424728251, 0.029986362294302276, 0.026184666611788331, 0.023918636237138198, 0.022538103606791794, 0.021669138401818156, 0.021103303032295614, 0.020722940105625046, 0.020459797751775664, 0.020273028992479958, 0.02013742067033308, 0.020036951376485396, 0.019961165489885732, 0.019903072196311163, 0.019857893439958915, 0.019822297809934334, 0.019793920135137814, 0.019771053355467482, 0.019752446741810238, 0.019737171211615799, 0.019724527835856546, 0.019713984671724551, 0.019705132494419887, 0.019697653341202152, 0.019691297870743141, 0.01968586887174734, 0.019681209116435835, 0.019677192320918396, 0.01967371635222363, 0.019670698077078427, 0.019668069422290328, 0.019665774337632804, 0.019663766436914833, 0.019662007152924293, 0.019660464284833187, 0.019659110847609736, 0.019657924155522703, 0.01965688508837583, 0.019655977501366207, 0.019655187748605616, 0.019654504297223187, 0.019653917414179916, 0.019653418911908693, 0.019653001941960489, 0.019652660828222569, 0.019652390933149348, 0.019652188551939415, 0.019652050830802958, 0.019651975706467539, 0.019651961864928475, 0.019652008718214022, 0.019652116398649642, 0.019652285770812045, 0.019652518462106815, 0.019652816913730789, 0.019653184454751036, 0.019653625403219854, 0.019654145199748039, 0.019654750580910971, 0.019655449802452082, 0.019656252925743724, 0.019657172185756647, 0.019658222465447878, 0.019659421910859516, 0.019660792734625381, 0.019662362275009729, 0.019664164406184799, 0.019666241438193476, 0.019668646710069231, 0.019671448180404175, 0.019674733479216562, 0.019678617143257585, 0.019683251185524411, 0.019688840880910264, 0.019695668936037938, 0.019704133552813162, 0.019714810327069038, 0.019728556691263738, 0.019746695858349109, 0.01977135750429956, 0.019806147674804521, 0.019857564724053145, 0.01993826868470926, 0.020075502789565179, 0.020335904276262525, 0.020910199081373558, 0.022402094467429048, 0.025207105282240436, 0.0234471676776115, 0.021204379893478623, 0.02038383705839689, 0.020052850731535066, 0.019894547087718407, 0.019808488070649471, 0.019757164940041195, 0.019724384120927155, 0.01970232044218629, 0.01968684685615834, 0.019675630845531832, 0.019667278471995061, 0.019660917621174667, 0.019655981367713404, 0.019652089044911308, 0.019648977865682645, 0.019646462021347101, 0.019644407364277479, 0.019642715261188652, 0.01964131202072178, 0.019640141807799778, 0.019639161795424506, 0.019638338785565475, 0.019637646814915165, 0.019637065433569689, 0.019636578451667358, 0.019636173016896318, 0.01963583892972456, 0.019635568132193644, 0.019635354325588768, 0.019635192685618478, 0.019635079653028215, 0.01963501278420186, 0.019634990651174744, 0.019635001707606813, 0.019635034989849368, 0.01963509083890742, 0.019635169830412521, 0.019635272785805704, 0.019635400788502604, 0.01963555520558017, 0.019635737715723738, 0.019635950344411943, 0.019636195507607899, 0.01963647606558688, 0.019636795388987226, 0.019637157439754263, 0.019637566870398828, 0.019638029145972222, 0.019638550694447407, 0.019639139092905038, 0.019639803299209807, 0.019640553941951307, 0.019641403685635744, 0.01964236769391663, 0.019643464221728898, 0.019644715378561443, 0.019646148121304087, 0.019647795558488425, 0.019649698681959937, 0.019651908692844045, 0.019654490165381702, 0.01965752541003575, 0.019661120581700484, 0.01966541437356973, 0.01967059061898566, 0.019676896930983543, 0.019684672900137378, 0.019694393841740938, 0.019706740623278141, 0.019722714770739017, 0.019743835326598663, 0.019772490069716708, 0.019812593564894468, 0.019870892199056019, 0.019959728473841937, 0.020103350216575434, 0.020353473227938894, 0.020829627487380199, 0.021808515995157887, 0.023610106783065247, 0.02454637941504513, 0.022865519891863681, 0.021408446814896162, 0.020674325982652252, 0.020301215160167533, 0.020094130233342559, 0.019969250566613413, 0.019888694583700108, 0.019833867942085338, 0.019794913055846616, 0.019766249513028952, 0.019744539646545566, 0.019727692902684932, 0.019714347747239857, 0.019703587404550995, 0.019694776598313389, 0.019687463995004529, 0.019681321855489375, 0.01967610755070142, 0.01967163835084168, 0.019667774509662929, 0.01966440766853414, 0.019661452752386684, 0.019658842206306402, 0.019656521831216942, 0.019654447731128379, 0.019652584045398245, 0.019650901243505721, 0.019649374828337236, 0.019647984339837065, 0.019646712582053676, 0.019645545018116741, 0.019644469292711533, 0.019643474852256166, 0.019642552640604646, 0.019641694853612817, 0.019640894739936139, 0.019640146438405393, 0.019639444844543809, 0.019638785500456155, 0.019638164503581888, 0.019637578430768556, 0.019637024274862653, 0.019636499391588274, 0.019636001454932196, 0.019635528419604656, 0.019635078489422485, 0.019634650090682413, 0.019634241849768395, 0.019633852574379936, 0.019633481237883471, 0.019633126966384348, 0.019632789028194975, 0.019632466825440481, 0.019632159887599265, 0.019631867866823208, 0.019631590534925081, 0.019631327781958443, 0.019631079616350203, 0.019630846166579612, 0.019630627684429972, 0.01963042454987244, 0.01963023727767578, 0.019630066525873204, 0.019629913106257724, 0.019629777997123742, 0.019629662358524619, 0.019629567550376776, 0.019629495153812269, 0.019629446996266231, 0.019629425180886707, 0.019629432120975867, 0.019629470580319226, 0.019629543720438535, 0.019629655156024019, 0.019629809020071991, 0.019630010040587873, 0.019630263631130965, 0.01963057599799517, 0.019630954267472654, 0.019631406637468162, 0.019633310473090904, 0.01963632548781627, 0.019641008903591581, 0.019648277935787755, 0.01965970864641433, 0.019678159184137078, 0.019709181463947709, 0.019764576071845515, 0.019872702113510294, 0.020114966123408472, 0.020801334762414175, 0.023940229630518058, 0.072060499822784743, 0.030518122645712548, 0.022384220969565823, 0.020929451534454326, 0.020420890762286977, 0.020181885803398615, 0.020049398851778408, 0.01996796211134633, 0.019914388577074549, 0.019877572722870857, 0.019851681425533708, 0.019833475639812966, 0.019821144105192662, 0.019813778269535558, 0.019811175920443375, 0.019813887473265381, 0.019823580086646291, 0.019844078992567529, 0.019884335285075272, 0.019968341322896845, 0.020179214857393761, 0.020990719406848907, 0.032675400626574216, 0.022704333006448019, 0.020184685793746101, 0.019857509362563988, 0.019761720662664212, 0.01972238774237595, 0.019702818778753, 0.019691753854331532, 0.019684878731823549, 0.0196802775432104, 0.019677004171055015, 0.019674552118547281, 0.019672632331301287, 0.019671070975039746, 0.019669758788466263, 0.019668624428464107, 0.019667619719559076, 0.019666711136595089, 0.019665874703791969, 0.019665092841395358, 0.019664352361260202, 0.01966364316092032, 0.019662957353769148, 0.019662288678084054, 0.019661632088177294, 0.019660983466802427, 0.019660339419693702, 0.019659697126608741, 0.019659054231790672, 0.019658408762279467, 0.019657759066123614, 0.019657103764959768, 0.019656441717065567, 0.019655771988115835, 0.019655093827655495, 0.019654406649854034, 0.019653710017498688, 0.019653003628465553, 0.019652287304111133, 0.019651560979175444, 0.019650824692895273, 0.019650078581105509, 0.01964932286916303, 0.019648557865570002, 0.019647783956202196, 0.019647001599069742, 0.01964621131955175, 0.019645413706056492, 0.01964460940606472, 0.019643799122518367, 0.019642983610518298, 0.019642163674296751, 0.019641340164429866, 0.019640513975256256, 0.019639686042467255, 0.019638857340834481, 0.019638028882040685, 0.019637201712579794, 0.019636376911693156, 0.019635555589309631, 0.019634738883958426, 0.019633927960625464, 0.01963312400852555, 0.019632328238765238, 0.019631541881873524, 0.019630766185180417, 0.019630002410026534, 0.019629251828790113, 0.019628515721721411, 0.01962779537357822, 0.019627092070060102, 0.019626407094042984, 0.019625741721619971, 0.019625097217958375, 0.019624474832987213, 0.019623875796933504, 0.019623301315729869, 0.019622752566319731, 0.019622230691890143, 0.019621736797065432, 0.019621271943098099, 0.019620837143095569, 0.019620433357323677, 0.019620061488629117, 0.019619722378023719, 0.019619416800473778, 0.019619145460937053, 0.01961890899068864, 0.019618707943975081, 0.01961854279503334, 0.019618413935507947, 0.019618321672295647, 0.019618266225842316, 0.019618247728911971, 0.019618260060785528, 0.019618297033874452, 0.019618358580651234, 0.019618444588795102, 0.019618554901527255, 0.019618689318075581, 0.019618847594264209, 0.019619029443222198, 0.019619234536204219, 0.019619462503515265, 0.019619712935530321, 0.019619985383798992, 0.019620279362224165, 0.019620594348303457, 0.019620929784421141, 0.019621285079178163, 0.01962165960874734, 0.019622052718240732, 0.019622463723076116, 0.019622891910329524, 0.019623336540061161, 0.019623796846602249, 0.019624272039791075, 0.019624761306146966, 0.019625263809971934, 0.019625778694370766, 0.019626305082181213, 0.019626842076807621, 0.019627388762952617, 0.0196279442072432, 0.019628507458749552, 0.01962907754939671, 0.019629653494271891, 0.019630234291832305, 0.019630818924021364, 0.019631406356303824, 0.019631995537633781, 0.019632585400372375, 0.01963317486017627, 0.019633762815880824, 0.019634348149406514, 0.019634929725720559, 0.019635506392890158, 0.019636076982267162, 0.019636640308848378, 0.01963719517185886, 0.019637740355608845, 0.019638274630677528, 0.019638796755478551, 0.019639305478263109, 0.019639799539615765, 0.019640277675496292, 0.019640738620877233, 0.019641181114020842, 0.019641603901431232, 0.01964200574350726, 0.019642385420908189, 0.01964274174162901, 0.019643073548763684, 0.019643379728913904, 0.019643659221178483, 0.019643911026633789, 0.019644134218190681, 0.019644327950688146, 0.019644491471059573, 0.019644624128385746, 0.019644725383629914, 0.019644794818836703, 0.019644832145568811, 0.019644837212354525, 0.0196448100109268, 0.019644750681049813, 0.019644659513753843, 0.019644536952831505, 0.019644383594488734, 0.019644200185089746, 0.019643987616985836, 0.019643746922470024, 0.019643479265952349, 0.019643185934499277, 0.019642868326926164, 0.019642527941668202, 0.019642166363684418, 0.019641785250667537, 0.019641386318841055, 0.01964097132862257, 0.019640542070420649, 0.01964010035081246, 0.019639647979322168, 0.019639186755988018, 0.019638718459870801, 0.019638244838619753, 0.01963776759917573, 0.019637288399657435, 0.019636808842444765, 0.019636330468446192, 0.019635854752513348, 0.019635383099947425, 0.0196349168440271, 0.019634457244477446, 0.019634005486792065, 0.019633562682317508, 0.019633129869007535, 0.019632708012756451, 0.019632298009223198, 0.019631900686062631, 0.019631516805484927, 0.019631147067070261, 0.019630792110771726, 0.019630452520045642, 0.019630128825054688, 0.019629821505895224, 0.019629530995806034, 0.019629257684321038, 0.019629001920333733, 0.019628764015045923, 0.019628544244777328, 0.019628342853616705, 0.01962816005589858, 0.019627996038492621, 0.019627850962895283, 0.019627724967115748, 0.019627618167349863, 0.019627530659437415, 0.019627462520099493, 0.019627413807953173, 0.019627384564302301, 0.019627374813702823], [0.01917904109025487, 0.019179058205527812, 0.019179109530056134, 0.019179195000093054, 0.019179314509809305, 0.019179467911913599, 0.019179655018516369, 0.019179875602231829, 0.019180129397512052, 0.019180416102205663, 0.019180735379332348, 0.019181086859063473, 0.019181470140897786, 0.019181884796020669, 0.019182330369834126, 0.019182806384644358, 0.0191833123424929, 0.019183847728117064, 0.019184412012024789, 0.019185004653668895, 0.019185625104705718, 0.019186272812322568, 0.019186947222619145, 0.019187647784027449, 0.019188373950755504, 0.019189125186239914, 0.019189900966592784, 0.019190700784028642, 0.019191524150257204, 0.019192370599827906, 0.019193239693412169, 0.019194131021009374, 0.019195044205062198, 0.019195978903466464, 0.019196934812460324, 0.019197911669376313, 0.019198909255239125, 0.019199927397190092, 0.019200965970717923, 0.019202024901673227, 0.019203104168041954, 0.019204203801450472, 0.019205323888372528, 0.019206464571005676, 0.019207626047782575, 0.019208808573480774, 0.019210012458893901, 0.019211238070027836, 0.019212485826788472, 0.019213756201133705, 0.019215049714672673, 0.019216366935711136, 0.019217708475765802, 0.019219074985602821, 0.019220467150901369, 0.01922188568770242, 0.01922333133788089, 0.019224804864978216, 0.019226307050855703, 0.019227838693780721, 0.019229400608739462, 0.019230993630984954, 0.019232618624076294, 0.019234276493945462, 0.019235968210836122, 0.019237694841291533, 0.019239457592716544, 0.01924125787339406, 0.01924309737119189, 0.019244978154546448, 0.019246902799660411, 0.019248874548220826, 0.019250897500372868, 0.019252976848246499, 0.019255119156145046, 0.019257332694740802, 0.019259627838531149, 0.019262017538731892, 0.019264517888191109, 0.019267148801435877, 0.019269934842501415, 0.019272906246994431, 0.019276100204743782, 0.019279562498155333, 0.019283349633291612, 0.019287531662532904, 0.019292195990477747, 0.019297452596810594, 0.019303441332246825, 0.019310342300274688, 0.01931839092438924, 0.019327900294465395, 0.01933929512233749, 0.019353164777411686, 0.019370348781107685, 0.019392079760661273, 0.019420232935836029, 0.019457784178078624, 0.01950970385775589, 0.019584836155731467, 0.0197002371039116, 0.019892468554635907, 0.020252126948333123, 0.02105582537657251, 0.023454163281990736, 0.033203703407934285, 0.030470200411339968, 0.022146755756737437, 0.020321845275158006, 0.019744926222174362, 0.019503682963190706, 0.01938398890389954, 0.019317559110278874, 0.019277690336410955, 0.019252352601751947, 0.019235536347471903, 0.019223994129540279, 0.019215859582294107, 0.019210005719988536, 0.019205724052864016, 0.019202554211939719, 0.019200188873433076, 0.019198418447262364, 0.019197097759898966, 0.01919612540862985, 0.019195430693276661, 0.019194965247679576, 0.019194697704922759, 0.019194610421920975, 0.019194629127499953, 0.01919468562209482, 0.019194781053446183, 0.019194917382559039, 0.019195097459025961, 0.019195325133123664, 0.019195605412091955, 0.019195944671331181, 0.019196350935717973, 0.019196834252399722, 0.019197407185120662, 0.019198085472629255, 0.019198888911993735, 0.019199842554839322, 0.019200978345666211, 0.019202337394827212, 0.019203973178435526, 0.019205956117559431, 0.019208380252207988, 0.01921137316946302, 0.019215111115477551, 0.019219842601533307, 0.019225926378580949, 0.019233894615511862, 0.019244562170187191, 0.019259224338527704, 0.01928003438673213, 0.019310771986283618, 0.019358533973027225, 0.019437830312845444, 0.019581777394966811, 0.019877617763706182, 0.020599006663340604, 0.022650472041131759, 0.025307022793999389, 0.022459020385332717, 0.020638715890356162, 0.019964021611776402, 0.019668992941732431, 0.019517262989615584, 0.019429511182587685, 0.019374264709144915, 0.019337211025910208, 0.019311120785940751, 0.019292031503547857, 0.019277625645297451, 0.019266474525207335, 0.019257658309335016, 0.019250562821750337, 0.019244765096950427, 0.019239966011331412, 0.019235949096096373, 0.019232554515025615, 0.019229662143264652, 0.019227180281008834, 0.019225037953793489, 0.019223179552657579, 0.019221561035023683, 0.019220147187655579, 0.019218909625661893, 0.019217825310188008, 0.019216875437303365, 0.019216044596375454, 0.019215320126758903, 0.019214691622330776, 0.019214150547656374, 0.019213689939524062, 0.019213304174638953, 0.019212988789328766, 0.019212740340802874, 0.019212556302234028, 0.019212434985984395, 0.01921237549087558, 0.019212377670646798, 0.019212442121760553, 0.019212570189579475, 0.019212763992712, 0.019213026466058887, 0.019213361423833869, 0.019213773644621523, 0.019214268981421832, 0.019214854500664184, 0.019215538655416583, 0.019216331499544471, 0.019217244951487519, 0.019218293118748869, 0.019219492697301784, 0.01922086346413927, 0.019222428886434099, 0.019224216877658566, 0.019226260740115037, 0.019228600345452554, 0.019231283621010401, 0.019234368431815703, 0.019237924978007831, 0.019242038868574961, 0.019246815089201889, 0.019252383161499985, 0.019258903902869089, 0.019266578355522181, 0.019275659682019244, 0.019286469156775819, 0.019299417870299256, 0.01931503648593344, 0.019334016474292479, 0.019357267899699035, 0.019386001369749006, 0.019421845710544217, 0.019467019162096998, 0.019524581835752175, 0.019598813227603887, 0.019695784714293427, 0.019824239707615057, 0.019996963912716065, 0.02023294017396134, 0.020560754481572043, 0.021023955593316372, 0.021689294188015316, 0.022658606788274881, 0.02408330048896222, 0.026173546392246807, 0.029176301625798977, 0.033267900312666583, 0.038317951309714084, 0.043656816405386524, 0.04822704947093439, 0.051170721789268486, 0.052163342879362619, 0.051170721789267522, 0.048227049470967551, 0.04365681640537767, 0.038317951309710295, 0.033267900312667888, 0.029176301625814867, 0.026173546392244465, 0.024083300488960766, 0.022658606788272046, 0.021689294188013995, 0.021023955593317701, 0.020560754481572029, 0.020232940173961666, 0.019996963912716173, 0.019824239707615206, 0.019695784714293372, 0.019598813227603942, 0.019524581835752196, 0.019467019162096973, 0.019421845710544207, 0.019386001369748985, 0.019357267899699025, 0.019334016474292472, 0.019315036485933443, 0.019299417870299249, 0.019286469156775815, 0.019275659682019237, 0.019266578355522181, 0.019258903902869089, 0.019252383161499981, 0.019246815089201896, 0.019242038868574965, 0.019237924978007831, 0.019234368431815699, 0.019231283621010398, 0.01922860034545255, 0.019226260740115034, 0.019224216877658566, 0.019222428886434106, 0.019220863464139273, 0.019219492697301794, 0.019218293118748873, 0.019217244951487515, 0.019216331499544475, 0.019215538655416579, 0.019214854500664187, 0.019214268981421829, 0.019213773644621523, 0.019213361423833866, 0.019213026466058884, 0.019212763992712, 0.019212570189579472, 0.019212442121760542, 0.019212377670646801, 0.019212375490875577, 0.019212434985984395, 0.019212556302234021, 0.019212740340802864, 0.019212988789328755, 0.019213304174638953, 0.019213689939524058, 0.019214150547656378, 0.019214691622330769, 0.0192153201267589, 0.019216044596375458, 0.019216875437303358, 0.019217825310188022, 0.0192189096256619, 0.019220147187655572, 0.019221561035023683, 0.019223179552657576, 0.019225037953793489, 0.019227180281008831, 0.019229662143264655, 0.019232554515025622, 0.019235949096096373, 0.019239966011331423, 0.019244765096950431, 0.019250562821750326, 0.019257658309335016, 0.019266474525207342, 0.019277625645297419, 0.01929203150354784, 0.019311120785940727, 0.019337211025910205, 0.019374264709144981, 0.019429511182587702, 0.019517262989615747, 0.019668992941732088, 0.019964021611776493, 0.020638715890353394, 0.022459020385323727, 0.025307022793998896, 0.022650472041134073, 0.020599006663340129, 0.019877617763706053, 0.01958177739496712, 0.01943783031284535, 0.019358533973027326, 0.019310771986283636, 0.019280034386732141, 0.019259224338527729, 0.019244562170187211, 0.019233894615511869, 0.019225926378580945, 0.019219842601533303, 0.019215111115477541, 0.019211373169463024, 0.019208380252207974, 0.019205956117559438, 0.019203973178435526, 0.019202337394827212, 0.019200978345666208, 0.019199842554839322, 0.019198888911993735, 0.019198085472629255, 0.019197407185120665, 0.019196834252399719, 0.019196350935717976, 0.019195944671331174, 0.019195605412091955, 0.019195325133123668, 0.019195097459025964, 0.019194917382559042, 0.019194781053446186, 0.019194685622094823, 0.019194629127499953, 0.019194610421920975, 0.019194619766599228, 0.019194647891509656, 0.019194695070912187, 0.019194761767399211, 0.019194848640309341, 0.019194956557864892, 0.019195086613411409, 0.019195240146275199, 0.019195418767918391, 0.019195624394267818, 0.019195859285336968, 0.019196126093562846, 0.019196427922661984, 0.019196768399297827, 0.019197151760479678, 0.019197582960429289, 0.019198067801719731, 0.019198613096901931, 0.019199226868713778, 0.019199918599491335, 0.019200699543825483, 0.019201583123194137, 0.0192025854277823, 0.019203725859764511, 0.019205027965140488, 0.019206520519564264, 0.019208238960229652, 0.019210227295050578, 0.01921254067891701, 0.019215248935750846, 0.019218441442676582, 0.019222234009685864, 0.01922677873804458, 0.019232278418065057, 0.019239008004749363, 0.019247347414347971, 0.019257832952655957, 0.019271240408319835, 0.019288723956812071, 0.019312057602586891, 0.019344074201318159, 0.019389506695487564, 0.019456701731726367, 0.019561367695663093, 0.019735459420809742, 0.020050013627530155, 0.020675780366246239, 0.02199525819087007, 0.024048883202101957, 0.023857356765803292, 0.021853315967768659, 0.020652848279472349, 0.020072415060248511, 0.019771545794632205, 0.019600151597834944, 0.019494405568191372, 0.019424900794440068, 0.019376867365648542, 0.019342307934893888, 0.019316611384020327, 0.019296976156620606, 0.019281623755538609, 0.019269382409445854, 0.019259455169287745, 0.019251284937611253, 0.019244472864989537, 0.019238727343316209, 0.019233831176770372, 0.019229619897284771, 0.019225967106377046, 0.019222774359163336, 0.019219964051454142, 0.019217474333121924, 0.019215255414120603, 0.019213266843912218, 0.019211475481825131, 0.019209853964828858, 0.019208379538111924, 0.019207033153490136, 0.019205798767759706, 0.019204662791878505, 0.019203613655035118, 0.01920264145702906, 0.01920173768911481, 0.019200895008351496, 0.019200107054086264, 0.019199368297856401, 0.019198673919979974, 0.019198019707600825, 0.019197401970089727, 0.019196817468573109, 0.019196263357031049, 0.019195737132926917, 0.019195236595737273, 0.019194759812071509, 0.019194305086323367, 0.019193870935999491, 0.019193456071032022, 0.019193059376513909, 0.019192679898402815, 0.019192316831827674, 0.019191969511705695, 0.019191637405439482, 0.019191320107517073, 0.019191017335884256, 0.019190728929999703, 0.019190454850521548, 0.019190195180609878, 0.019189950128863955, 0.019189720033948594, 0.019189505370999789, 0.019189306759938497, 0.019189124975863968, 0.019188960961745025, 0.019188815843682233, 0.019188690949075875, 0.019188587828108648, 0.019188508279038542, 0.01918845437790153, 0.019188428513348718, 0.019188433427494319, 0.019188472263835278, 0.019188548623530147, 0.01918866663160294, 0.019188831014983102, 0.01918904719472117, 0.01918932139525616, 0.01918966077428421, 0.019191159030640254, 0.019193630554747008, 0.019197557300081197, 0.019203726018391494, 0.019213473453742209, 0.019229187721530476, 0.019255415819991316, 0.019301562224491559, 0.019389370742002355, 0.019577726660095, 0.020070033689921343, 0.021947025960827305, 0.040606902332019405, 0.041009051774255512, 0.023013567073455209, 0.020793115892649372, 0.020114573112237969, 0.01981626663338882, 0.019657313648274544, 0.019562112277515559, 0.019500621385330107, 0.019458944300496141, 0.019429962927150494, 0.019409798435705398, 0.019396314320938909, 0.01938845662826702, 0.019386011645453272, 0.019389667531985018, 0.019401479755024355, 0.019426225579045719, 0.019475395638091104, 0.019581260155050795, 0.019865305995583418, 0.021160574898131175, 0.046708000770613232, 0.021030383005450425, 0.019626422022361194, 0.019387232895696417, 0.019310349312518571, 0.019277299477108083, 0.019260413806396818, 0.019250701429321768, 0.019244594141907767, 0.01924046984999191, 0.019237514323231793, 0.019235286509646343, 0.019233532502084837, 0.019232098587496485, 0.019230887643399062, 0.019229835974496599, 0.019228900400675208, 0.019228050759072371, 0.019227265394121357, 0.019226528360440268, 0.019225827640665858, 0.019225153982486583, 0.019224500123336225, 0.019223860263455697, 0.019223229701404089, 0.019222604577812337, 0.019221981692472662, 0.019221358371862306, 0.019220732371818542, 0.019220101805008098, 0.019219465086073455, 0.019218820889503663, 0.019218168116745798, 0.019217505870083706, 0.019216833431513879, 0.01921615024534443, 0.019215455903595951, 0.019214750133536192, 0.019214032786863545, 0.019213303830186882, 0.019212563336545623, 0.019211811477783846, 0.019211048517642413, 0.019210274805469316, 0.019209490770473316, 0.019208696916463937, 0.019207893817031807, 0.01920708211113123, 0.019206262499030825, 0.019205435738600431, 0.019204602641903212, 0.019203764072061636, 0.019202920940365704, 0.019202074203590422, 0.01920122486148939, 0.019200373954430021, 0.019199522561136068, 0.019198671796502746, 0.01919782280945017, 0.019196976780781461, 0.019196134921013169, 0.019195298468146715, 0.019194468685351847, 0.019193646858535165, 0.019192834293769154, 0.01919203231456032, 0.019191242258938115, 0.019190465476349627, 0.019189703324349099, 0.01918895716507496, 0.019188228361511375, 0.019187518273535611, 0.019186828253756866, 0.01918615964315689, 0.019185513766547025, 0.019184891927860971, 0.019184295405306771, 0.01918372544640596, 0.019183183262951556, 0.019182670025920209, 0.019182186860377357, 0.019181734840416444, 0.019181314984176093, 0.019180928248980201, 0.019180575526647044, 0.019180257639013886, 0.019179975333722482, 0.019179729280310191, 0.019179520066648848, 0.019179348195770836, 0.019179214083118293, 0.019179118054247032, 0.01917906034301187, 0.01917904109025487, 0.01917905392604952, 0.019179092409542024, 0.019179156469130182, 0.019179245985716867, 0.019179360793067264, 0.019179500678304148, 0.019179665382536241, 0.019179854601613359, 0.019180067987001212, 0.019180305146766916, 0.019180565646665846, 0.019180849011319043, 0.019181154725469857, 0.019181482235307426, 0.019181830949844381, 0.019182200242335457, 0.019182589451723242, 0.019182997884097615, 0.019183424814154717, 0.019183869486641969, 0.019184331117775642, 0.019184808896617996, 0.019185301986401476, 0.019185809525788525, 0.019186330630055932, 0.019186864392194393, 0.019187409883914479, 0.019187966156552404, 0.0191885322418698, 0.019189107152744276, 0.019189689883748813, 0.01919027941162087, 0.019190874695624052, 0.01919147467780799, 0.019192078283174905, 0.019192684419764482, 0.019193291978671742, 0.019193899834016408, 0.01919450684288572, 0.019195111845276724, 0.019195713664067922, 0.019196311105054539, 0.019196902957085551, 0.019197487992344778, 0.019198064966822612, 0.019198632621028021, 0.019199189680994187, 0.019199734859633361, 0.019200266858498467, 0.019200784370009404, 0.01920128608020159, 0.019201770672051643, 0.019202236829431271, 0.019202683241733933, 0.019203108609210005, 0.019203511649035353, 0.019203891102123401, 0.019204245740674822, 0.019204574376438553, 0.01920487586963656, 0.019205149138479802, 0.019205393169177624, 0.019205607026315595, 0.019205789863450666, 0.019205940933746623, 0.019206059600450142, 0.019206145346988526, 0.019206197786455926, 0.019206216670247706, 0.019206201895602338, 0.019206153511819282, 0.019206071724938788, 0.01920595690069675, 0.01920580956560362, 0.019205630406039953, 0.019205420265311551, 0.019205180138661251, 0.01920491116629185, 0.019204614624510067, 0.019204291915155072, 0.019203944553522513, 0.019203574155034445, 0.019203182420935418, 0.019202771123314508, 0.019202342089759968, 0.019201897187950283, 0.019201438310470772, 0.01920096736012171, 0.019200486235953176, 0.019199996820225364, 0.019199500966453825, 0.01919900048865791, 0.019198497151890467, 0.01919799266408893, 0.019197488669253061, 0.0191969867419244, 0.019196488382917109, 0.019195995016229383, 0.01919550798704938, 0.019195028560758658, 0.019194557922829699, 0.019194097179511364, 0.019193647359195841, 0.019193209414363886, 0.019192784224009052, 0.019192372596448064, 0.01919197527243089, 0.01919159292847188, 0.019191226180330569, 0.019190875586578907, 0.019190541652198776, 0.019190224832161051, 0.019189925534944193, 0.019189644125956622, 0.019189380930832726, 0.019189136238577924, 0.019188910304542294, 0.019188703353206757, 0.019188515580769186, 0.019188347157520817, 0.019188198230005789, 0.019188068922958955, 0.019187959341018485, 0.019187869570211184, 0.019187799679209579, 0.019187749720360029, 0.019187719730482191, 0.019187709731439632], [0.018688020041576939, 0.018688037844892997, 0.018688091232224327, 0.018688180135853185, 0.018688304443358311, 0.018688463998274455, 0.018688658601010485, 0.018688888010020156, 0.018689151943218973, 0.018689450079638702, 0.018689782061309876, 0.018690147495361572, 0.01869054595632632, 0.01869097698863743, 0.018691440109304576, 0.018691934810753402, 0.018692460563813528, 0.018693016820839573, 0.018693603018948891, 0.018694218583359679, 0.018694862930813107, 0.018695535473062838, 0.018696235620415554, 0.018696962785306297, 0.018697716385892467, 0.018698495849650811, 0.018699300616961838, 0.018700130144666646, 0.018700983909581009, 0.01870186141195233, 0.018702762178844642, 0.018703685767437365, 0.018704631768222995, 0.018705599808088912, 0.018706589553267795, 0.01870760071214057, 0.018708633037874709, 0.018709686330879587, 0.018710760441059137, 0.018711855269840229, 0.018712970771953448, 0.018714106956940948, 0.018715263890363935, 0.018716441694680768, 0.018717640549765064, 0.018718860693032857, 0.018720102419148409, 0.018721366079280766, 0.018722652079888338, 0.018723960881017625, 0.018725292994115645, 0.01872664897937577, 0.018728029442664936, 0.018729435032118862, 0.01873086643454373, 0.018732324371830266, 0.018733809597673238, 0.018735322894998425, 0.018736865074634509, 0.018738436975931735, 0.018740039470225397, 0.018741673468272182, 0.018743339933051401, 0.01874503989962004, 0.018746774504037243, 0.018748545023724934, 0.018750352932000745, 0.018752199969899366, 0.018754088238786687, 0.018756020317665933, 0.018757999409492479, 0.018760029521283146, 0.01876211568338667, 0.018764264214073127, 0.018766483036751616, 0.018768782058858412, 0.018771173624081611, 0.018773673053532579, 0.018776299297328543, 0.018779075726632493, 0.018782031108660585, 0.018785200825186789, 0.018788628421146543, 0.018792367607895627, 0.018796484901552956, 0.018801063160373888, 0.018806206412300592, 0.018812046561737905, 0.018818752879814538, 0.018826545697406716, 0.018835716585313491, 0.01884665880401647, 0.01885991448855516, 0.01887625002557683, 0.01889678077542991, 0.018923186085415336, 0.018958098354534866, 0.019005849071453407, 0.019074004045643845, 0.019176812993433778, 0.019343883176293663, 0.019645490920108932, 0.020283320296526169, 0.0220266491280382, 0.029035145130387026, 0.035390166949521004, 0.022872853498466416, 0.020133540775403611, 0.019362085711380404, 0.019060549780591594, 0.018917102872966461, 0.01883972901095568, 0.018794240670275672, 0.018765781370098281, 0.018747125307301025, 0.018734447445952498, 0.018725585109155556, 0.018719249519858976, 0.018714639128798602, 0.018711237562691996, 0.018708702355664446, 0.018706800920720211, 0.018705372314842945, 0.018704303687733553, 0.01870351540576054, 0.0187029514810255, 0.01870257335813583, 0.018702355909239115, 0.018702284954173361, 0.018702300763920234, 0.018702348499823905, 0.018702429092742778, 0.01870254413097543, 0.018702695917847605, 0.018702887557114606, 0.018703123071476258, 0.018703407561828356, 0.018703747417954313, 0.018704150595554022, 0.018704626980339104, 0.018705188868184529, 0.018705851602218881, 0.018706634425130885, 0.018707561630824359, 0.018708664138635415, 0.018709981673466783, 0.018711565829554636, 0.018713484446785045, 0.018715827976428095, 0.018718718930266779, 0.01872232622890789, 0.018726887554258973, 0.018732745196980771, 0.018740405486176084, 0.018750641159974921, 0.018764675752804341, 0.018784533671159301, 0.018813748089384619, 0.018858906434604836, 0.018933360138244634, 0.019067256830909977, 0.0193390626596971, 0.019993292191516923, 0.021888228627604887, 0.025174776491946882, 0.022451736593318745, 0.020304540142546151, 0.019533403937405863, 0.019206630787042742, 0.01904199838946008, 0.01894808300820288, 0.018889520824203924, 0.018850516759292352, 0.018823197066145176, 0.018803288928373373, 0.018788312699340365, 0.018776749240234789, 0.018767625429028954, 0.018760294232827421, 0.01875431162668572, 0.01874936453176276, 0.018745226959972404, 0.018741732414702644, 0.018738756005269815, 0.018736202552980148, 0.018733998498220383, 0.018732086280044531, 0.018730420360633836, 0.018728964366485482, 0.018727689001892176, 0.018726570505613709, 0.018725589495606071, 0.018724730095033719, 0.018723979264977528, 0.018723326291032318, 0.01872276238595505, 0.018722280380962988, 0.018721874485662308, 0.018721540101881245, 0.018721273680532658, 0.018721072613474922, 0.018720935154477977, 0.018720860365042467, 0.018720848082112648, 0.018720898905777005, 0.018721014205945571, 0.018721196147793117, 0.018721447736514987, 0.018721772882704921, 0.018722176490474664, 0.0187226645713418, 0.018723244387965805, 0.018723924633075019, 0.018724715650474781, 0.018725629706956001, 0.018726681326359167, 0.018727887700154867, 0.018729269192897916, 0.018730849966089601, 0.018732658750737149, 0.018734729807769072, 0.018737104127184386, 0.018739830932397037, 0.018742969577090238, 0.018746591949979127, 0.018750785540952136, 0.018755657374017177, 0.018761339083863928, 0.018767993511609862, 0.018775823332866311, 0.018785082424221087, 0.01879609094673004, 0.018809255512350086, 0.018825096353200777, 0.018844284210064628, 0.018867690806746523, 0.018896458442077695, 0.018932096641659086, 0.018976617285118593, 0.019032724574986334, 0.019104083108067032, 0.019195696492514621, 0.019314440104770673, 0.019469802323235474, 0.019674891152150563, 0.019947737118084813, 0.020312821125156411, 0.020802479475672788, 0.021457217974420899, 0.022322808062307929, 0.023440426913240726, 0.024825289189764857, 0.026432798504810937, 0.028123721021989304, 0.029657342465796595, 0.03074181723269219, 0.031134722360094291, 0.030741817232692446, 0.029657342465808385, 0.028123721021986552, 0.026432798504809285, 0.024825289189765329, 0.023440426913246538, 0.022322808062306954, 0.02145721797442024, 0.020802479475671352, 0.020312821125155756, 0.019947737118085531, 0.019674891152150542, 0.019469802323235703, 0.019314440104770746, 0.019195696492514729, 0.019104083108067001, 0.019032724574986372, 0.018976617285118607, 0.018932096641659058, 0.018896458442077685, 0.018867690806746509, 0.018844284210064621, 0.018825096353200767, 0.01880925551235009, 0.018796090946730033, 0.018785082424221083, 0.018775823332866315, 0.018767993511609862, 0.018761339083863928, 0.018755657374017177, 0.018750785540952136, 0.018746591949979123, 0.018742969577090235, 0.018739830932397041, 0.018737104127184389, 0.018734729807769072, 0.018732658750737138, 0.018730849966089598, 0.018729269192897916, 0.018727887700154867, 0.018726681326359171, 0.018725629706956008, 0.018724715650474778, 0.018723924633075019, 0.018723244387965812, 0.018722664571341804, 0.018722176490474664, 0.018721772882704921, 0.018721447736514983, 0.018721196147793117, 0.018721014205945578, 0.018720898905777002, 0.018720848082112648, 0.018720860365042464, 0.018720935154477973, 0.018721072613474929, 0.018721273680532658, 0.018721540101881234, 0.018721874485662305, 0.018722280380962991, 0.018722762385955043, 0.018723326291032318, 0.018723979264977528, 0.018724730095033719, 0.018725589495606081, 0.018726570505613705, 0.018727689001892183, 0.018728964366485485, 0.018730420360633836, 0.018732086280044535, 0.018733998498220383, 0.018736202552980148, 0.018738756005269815, 0.018741732414702651, 0.018745226959972404, 0.018749364531762763, 0.01875431162668573, 0.018760294232827424, 0.018767625429028947, 0.018776749240234786, 0.018788312699340382, 0.018803288928373341, 0.018823197066145162, 0.018850516759292318, 0.018889520824203924, 0.018948083008202998, 0.019041998389460125, 0.019206630787043065, 0.019533403937405061, 0.020304540142546457, 0.02245173659330978, 0.025174776491948304, 0.021888228627607302, 0.01999329219151761, 0.019339062659696916, 0.019067256830909943, 0.01893336013824477, 0.018858906434604788, 0.018813748089384675, 0.018784533671159315, 0.018764675752804352, 0.018750641159974935, 0.018740405486176094, 0.018732745196980771, 0.01872688755425897, 0.018722326228907883, 0.018718718930266769, 0.018715827976428092, 0.018713484446785039, 0.01871156582955464, 0.018709981673466786, 0.018708664138635419, 0.018707561630824359, 0.018706634425130889, 0.018705851602218878, 0.018705188868184525, 0.0187046269803391, 0.018704150595554015, 0.018703747417954313, 0.018703407561828356, 0.018703123071476258, 0.018702887557114606, 0.018702695917847602, 0.018702544130975426, 0.018702429092742782, 0.018702348499823898, 0.018702300763920238, 0.018702284954173361, 0.018702292852465809, 0.018702316621150582, 0.018702356482898936, 0.018702412813027963, 0.018702486145923986, 0.018702577184292187, 0.018702686811503139, 0.018702816107403878, 0.018702966368075689, 0.018703139130157101, 0.018703336200517697, 0.018703559692273875, 0.018703812068395675, 0.018704096194478697, 0.01870441540266982, 0.018704773569267592, 0.018705175209207812, 0.018705625591544248, 0.018706130881217989, 0.018706698313978091, 0.0187073364134148, 0.01870805526189747, 0.018708866841064258, 0.018709785462810866, 0.018710828319090211, 0.018712016189181061, 0.018713374357792315, 0.01871493381854708, 0.018716732868300431, 0.018718819243526644, 0.018721253018907476, 0.018724110593729776, 0.018727490256233489, 0.018731520077998599, 0.018736369316937278, 0.018742265219110227, 0.018749518329852697, 0.018758561581244775, 0.018770012364840903, 0.018784774281529689, 0.018804210084626599, 0.018830448155758212, 0.018866952571956867, 0.01891964523571402, 0.018999266369101573, 0.019126739588672729, 0.019346470144620084, 0.019762073811813548, 0.020630978361279168, 0.0224431822111913, 0.024207108632561855, 0.022634320195373495, 0.020788898074070077, 0.019876756547622814, 0.01943383371419561, 0.019196643950601729, 0.019057269910937369, 0.018969056503810408, 0.018909871034526054, 0.018868281360899939, 0.01883794503779191, 0.018815128855186495, 0.018797524593558844, 0.018783644903106397, 0.018772497183260607, 0.018763398794254836, 0.018755867885638135, 0.018749556516195285, 0.018744208360709246, 0.018739631205802954, 0.018735678613644662, 0.018732237423490603, 0.018729219061060291, 0.01872655338600512, 0.018724184264611539, 0.018722066336289579, 0.018720162619654014, 0.018718442717962119, 0.018716881458319554, 0.018715457848812397, 0.018714154271406887, 0.01871295585160293, 0.018711849961949186, 0.018710825827900381, 0.018709874212616787, 0.018708987163165509, 0.018708157804858086, 0.018707380173606188, 0.018706649078517462, 0.018705959988707915, 0.018705308939633306, 0.018704692455252643, 0.018704107483112839, 0.018703551340042694, 0.018703021666612224, 0.018702516388878397, 0.018702033686228088, 0.018701571964357934, 0.018701129832614849, 0.018700706085068849, 0.018700299684810018, 0.018699909751060607, 0.01869953554877446, 0.018699176480465072, 0.018698832080062004, 0.018698502008645819, 0.01869818605195726, 0.018697884119616648, 0.018697596246028458, 0.01869732259298219, 0.018697063453998269, 0.018696819260505034, 0.018696590589973413, 0.018696378176179768, 0.018696182921816122, 0.018696005913723009, 0.018695848441084087, 0.018695712016997809, 0.018695598403929991, 0.018695509643658625, 0.018695448092450218, 0.018695416462363078, 0.018695417869762837, 0.018695455892368085, 0.018695534636431029, 0.018695658816013219, 0.01869583384675845, 0.018696065957118032, 0.018697182206472224, 0.018699147973729346, 0.01870237971904128, 0.01870755234284583, 0.018715800955850764, 0.018729125944620818, 0.018751267078858283, 0.018789769623772788, 0.018861482420498999, 0.019009749393006797, 0.019372382203403309, 0.020575199349048966, 0.028628410500992921, 0.069933566112838297, 0.024367751372829264, 0.020726629210981087, 0.019792961597975115, 0.019414216785496326, 0.01922140902896562, 0.019109254649311926, 0.019038264743575419, 0.018990865943187451, 0.018958301535580344, 0.018935896201781141, 0.018921116049035736, 0.018912733039780295, 0.018910524052909793, 0.018915353499875272, 0.018929773710716143, 0.018959806550288755, 0.01902039224161451, 0.019155779093194401, 0.019549735392547014, 0.02180242728558212, 0.038412407700206812, 0.019909298891519149, 0.01905047130805847, 0.018871203583493715, 0.018808909832840632, 0.018781041890978352, 0.018766464421172524, 0.018757950701832875, 0.018752539550012354, 0.01874885567003725, 0.018746198306793742, 0.018744183774250984, 0.018742589437249255, 0.018741279705592882, 0.018740168501093599, 0.018739199145197262, 0.018738333072586807, 0.018737543243796933, 0.018736810167882187, 0.018736119428935844, 0.018735460107290346, 0.018734823748231398, 0.018734203674276851, 0.018733594517918777, 0.018732991898695494, 0.01873239219646013, 0.018731792389800554, 0.018731189939219059, 0.018730582701454241, 0.018729968865713681, 0.018729346905475147, 0.018728715541446287, 0.018728073712585315, 0.018727420552988563, 0.018726755373080179, 0.018726077643983277, 0.018725386984267411, 0.018724683148493872, 0.018723966017143569, 0.018723235587630081, 0.018722491966185899, 0.01872173536047117, 0.018720966072797812, 0.01872018449389256, 0.018719391097143451, 0.018718586433288248, 0.018717771125511588, 0.01871694586492301, 0.018716111406389641, 0.018715268564698333, 0.018714418211020687, 0.018713561269653459, 0.018712698715004895, 0.018711831568795596, 0.018710960897441418, 0.018710087809584126, 0.018709213453734757, 0.018708339015994297, 0.018707465717816067, 0.018706594813774673, 0.018705727589307542, 0.01870486535839596, 0.018704009461154743, 0.018703161261301785, 0.018702322143481144, 0.018701493510416528, 0.018700676779875261, 0.018699873381426393, 0.018699084752980634, 0.018698312337103999, 0.018697557577101273, 0.01869682191287015, 0.018696106776531697, 0.018695413587847366, 0.018694743749437911, 0.018694098641824173, 0.018693479618314569, 0.018692887999768495, 0.018692325069269464, 0.018691792066745188, 0.018691290183576015, 0.018690820557235536, 0.018690384266010041, 0.018689982323844986, 0.018689615675367831, 0.018689285191136835, 0.018688991663164838, 0.018688735800765681, 0.018688518226768706, 0.018688339474143792, 0.018688199983075346, 0.018688100098519463, 0.018688040068272901, 0.018688020041576939, 0.018688033393368962, 0.018688073423439065, 0.01868814005594625, 0.018688233164744085, 0.018688352573760916, 0.018688498057526905, 0.018688669341842705, 0.018688866104583157, 0.018689087976628199, 0.018689334542911745, 0.018689605343578407, 0.018689899875236705, 0.018690217592296651, 0.01869055790837874, 0.018690920197780785, 0.018691303796988645, 0.018691708006216244, 0.018692132090960649, 0.018692575283557271, 0.018693036784721104, 0.018693515765059586, 0.018694011366543629, 0.018694522703923716, 0.018695048866078878, 0.018695588917287356, 0.018696141898408916, 0.018696706827970044, 0.018697282703144993, 0.018697868500626956, 0.018698463177386236, 0.018699065671313554, 0.018699674901749737, 0.01870028976990511, 0.018700909159174932, 0.018701531935360019, 0.018702156946805101, 0.01870278302447103, 0.018703408981960164, 0.018704033615518798, 0.018704655704044084, 0.018705274009127283, 0.018705887275169569, 0.018706494229610768, 0.018707093583315734, 0.018707684031167147, 0.018708264252917273, 0.018708832914354392, 0.018709388668842204, 0.018709930159292138, 0.018710456020629127, 0.018710964882810249, 0.018711455374453099, 0.018711926127126199, 0.018712375780346603, 0.018712802987320542, 0.018713206421450794, 0.018713584783618929, 0.018713936810233141, 0.018714261282010911, 0.018714557033442485, 0.018714822962855225, 0.018715058042971564, 0.01871526133182495, 0.018715431983870209, 0.018715569261097902, 0.018715672543938335, 0.018715741341721187, 0.018715775302442211, 0.018715774221581567, 0.01871573804971929, 0.018715666898703697, 0.018715561046148573, 0.018715420938065001, 0.018715247189472792, 0.018715040582884462, 0.018714802064608689, 0.018714532738879592, 0.018714233859878918, 0.018713906821778988, 0.018713553146990473, 0.018713174472850397, 0.018712772537026804, 0.018712349161948263, 0.01871190623858553, 0.01871144570991945, 0.018710969554423987, 0.018710479769876179, 0.018709978357778257, 0.018709467308642133, 0.018708948588345729, 0.018708424125726705, 0.01870789580153338, 0.01870736543880808, 0.018706834794736383, 0.018706305553957296, 0.018705779323296735, 0.018705257627858712, 0.018704741908387414, 0.018704233519796724, 0.01870373373075316, 0.018703243724192121, 0.018702764598645331, 0.01870229737025875, 0.018701842975384658, 0.01870140227363749, 0.018700976051311213, 0.018700565025064324, 0.018700169845787994, 0.018699791102582092, 0.018699429326773206, 0.018699084995917509, 0.01869875853773988, 0.01869845033396807, 0.018698160724028443, 0.018697890008575451, 0.018697638452833277, 0.01869740628973262, 0.018697193722830005, 0.018697000929000653, 0.018696828060898726, 0.018696675249181397, 0.018696542604494947, 0.018696430219222501, 0.018696338168994117, 0.018696266513960561, 0.018696215299832314, 0.018696184558685498, 0.018696174309536379], [0.018181400984748488, 0.018181419313780051, 0.018181474277235939, 0.018181565804338971, 0.018181693777590678, 0.018181858033463446, 0.018182058363363646, 0.018182294514859691, 0.018182566193167698, 0.018182873062885591, 0.018183214749965468, 0.018183590843912318, 0.018184000900196364, 0.018184444442864958, 0.018184920967339247, 0.018185429943379888, 0.018185970818205402, 0.01818654301974662, 0.018187145960019618, 0.018187779038600138, 0.018188441646181702, 0.018189133168200051, 0.018189852988506516, 0.018190600493073188, 0.018191375073713035, 0.018192176131798483, 0.018193003081962263, 0.01819385535576494, 0.018194732405313517, 0.018195633706816348, 0.018196558764059241, 0.018197507111788268, 0.018198478318984499, 0.018199471992015867, 0.018200487777650855, 0.018201525365918375, 0.018202584492797182, 0.018203664942717371, 0.018204766550855209, 0.018205889205201147, 0.018207032848379486, 0.018208197479196501, 0.018209383153892641, 0.018210589987073166, 0.018211818152291351, 0.018213067882258748, 0.018214339468659278, 0.018215633261548077, 0.018216949668323143, 0.018218289152269536, 0.018219652230692347, 0.018221039472678512, 0.018222451496560748, 0.018223888967200501, 0.018225352593265572, 0.018226843124753096, 0.018228361351104116, 0.018229908100375891, 0.018231484240084552, 0.018233090680508723, 0.018234728381455529, 0.018236398363736674, 0.018238101726884601, 0.018239839674955498, 0.018241613552614885, 0.018243424894078097, 0.018245275487877691, 0.018247167460847112, 0.018249103385147229, 0.018251086412624885, 0.01825312044130559, 0.018255210319430552, 0.018257362093231928, 0.018259583305726121, 0.018261883355385172, 0.018264273925894456, 0.018266769501710276, 0.018269387989329467, 0.018272151471825357, 0.018275087135343707, 0.018278228422407429, 0.018281616490293865, 0.018285302086833162, 0.018289348006053082, 0.018293832360677092, 0.018298853021494844, 0.01830453374837171, 0.01831103281405224, 0.018318555370025368, 0.018327371550134034, 0.018337843588222262, 0.018350467496376123, 0.018365939025446476, 0.018385261633976795, 0.018409930287441013, 0.018442259119025698, 0.018485998583931053, 0.018547578014094779, 0.018638822383685659, 0.018783547879774536, 0.019035931553809934, 0.019542248819741887, 0.020812356949963338, 0.025430134443188718, 0.039114124646707632, 0.024547320777136832, 0.020096781002051433, 0.019009671938140866, 0.018619177482902087, 0.018442629853138263, 0.018350543940060832, 0.018297675239696477, 0.01826517745843274, 0.018244163285368147, 0.018230037672888721, 0.018220250266524862, 0.018213303748340206, 0.018208278116012534, 0.018204586535758297, 0.018201842885521079, 0.018199786478026687, 0.018198237569197001, 0.018197070174153677, 0.018196194989460009, 0.018195548421413806, 0.018195085423964349, 0.018194774792272547, 0.018194596098834746, 0.018194537781955407, 0.018194551273964382, 0.018194592002094383, 0.018194660731130251, 0.018194758764434608, 0.018194887988711661, 0.018195050940186284, 0.018195250896065662, 0.018195491996815531, 0.018195779406960395, 0.018196119525044428, 0.018196520257409435, 0.018196991376062489, 0.018197544988877865, 0.018198196161863273, 0.018198963750018469, 0.018199871518268042, 0.01820094967163452, 0.018202236971745486, 0.018203783707534251, 0.018205655933220904, 0.018207941624418952, 0.018210759802437616, 0.018214274366295993, 0.018218715600542612, 0.018224414594801303, 0.018231860167535151, 0.018241796645579251, 0.018255399410155731, 0.018274606921940249, 0.018302789120279588, 0.01834619899902858, 0.018417435462578551, 0.018544742927653839, 0.018801044031755264, 0.01941255016663922, 0.021201639966247767, 0.024924254446518516, 0.022389581796224856, 0.019935166258299206, 0.019077568633210182, 0.018723591802621009, 0.018548195235191443, 0.018449218375972121, 0.01838795864550638, 0.018347376281409936, 0.018319064463828805, 0.01829849628837444, 0.018283060336313627, 0.018271164321505502, 0.018261792183155687, 0.018254270477101559, 0.01824813827681987, 0.018243071313704173, 0.018238835970016763, 0.018235260411247831, 0.018232215926560092, 0.018229604547884064, 0.018227350642230605, 0.018225395082831667, 0.018223691132547834, 0.018222201487734783, 0.018220896123387988, 0.018219750701073685, 0.018218745378403425, 0.018217863909231021, 0.018217092957258433, 0.01821642156837909, 0.018215840762626785, 0.018215343217421597, 0.018214923021450322, 0.018214575483996596, 0.018214296988516492, 0.0182140848821934, 0.018213937395412386, 0.018213853586786514, 0.018213833310699461, 0.0182138772054138, 0.018213986700713627, 0.018214164044872687, 0.018214412351515177, 0.018214735667715511, 0.018215139065509669, 0.018215628759910819, 0.018216212257587093, 0.018216898541630548, 0.018217698299396061, 0.018218624202311014, 0.018219691248968606, 0.018220917185874919, 0.018222323024124201, 0.018223933675296622, 0.018225778736365165, 0.018227893461839978, 0.01823031997241276, 0.01823310876385727, 0.018236320599070408, 0.018240028891501631, 0.018244322721996969, 0.018249310676258793, 0.018255125750770044, 0.018261931656722508, 0.018269930961816245, 0.018279375659045138, 0.018290580953538169, 0.018303943331326605, 0.018319964340703303, 0.018339282005595255, 0.018362712431393768, 0.018391304981848194, 0.018426415400991124, 0.018469802358563041, 0.018523753883923438, 0.018591250454093267, 0.018676169862204824, 0.018783532855515178, 0.018919773034901548, 0.019092981138337958, 0.019313009429891906, 0.019591210612580821, 0.019939420537516607, 0.020367611119241347, 0.020879586854807276, 0.021466509805639127, 0.022099369144714644, 0.022723835147926155, 0.023262970416391249, 0.023632104735052336, 0.023763778825529169, 0.023632104735052558, 0.023262970416395315, 0.022723835147925229, 0.022099369144714161, 0.021466509805639255, 0.02087958685480984, 0.020367611119240906, 0.019939420537516243, 0.01959121061258004, 0.019313009429891521, 0.019092981138338416, 0.018919773034901527, 0.018783532855515327, 0.01867616986220488, 0.018591250454093343, 0.018523753883923407, 0.018469802358563069, 0.018426415400991141, 0.018391304981848173, 0.018362712431393761, 0.018339282005595245, 0.018319964340703293, 0.018303943331326594, 0.018290580953538176, 0.018279375659045131, 0.018269930961816248, 0.018261931656722508, 0.01825512575077004, 0.018249310676258797, 0.018244322721996969, 0.018240028891501635, 0.018236320599070412, 0.018233108763857274, 0.018230319972412767, 0.018227893461839985, 0.018225778736365165, 0.018223933675296622, 0.018222323024124198, 0.018220917185874916, 0.018219691248968606, 0.018218624202311021, 0.018217698299396061, 0.018216898541630552, 0.018216212257587093, 0.018215628759910816, 0.018215139065509665, 0.018214735667715507, 0.018214412351515174, 0.018214164044872683, 0.018213986700713631, 0.018213877205413797, 0.018213833310699461, 0.018213853586786507, 0.018213937395412386, 0.01821408488219339, 0.018214296988516499, 0.0182145754839966, 0.018214923021450318, 0.0182153432174216, 0.018215840762626785, 0.018216421568379083, 0.018217092957258433, 0.018217863909231018, 0.018218745378403421, 0.018219750701073685, 0.018220896123387988, 0.018222201487734783, 0.018223691132547837, 0.018225395082831664, 0.018227350642230609, 0.018229604547884068, 0.018232215926560089, 0.018235260411247827, 0.018238835970016774, 0.018243071313704177, 0.018248138276819877, 0.018254270477101573, 0.018261792183155691, 0.018271164321505492, 0.018283060336313623, 0.018298496288374461, 0.018319064463828753, 0.018347376281409929, 0.018387958645506325, 0.018449218375972121, 0.01854819523519164, 0.018723591802621089, 0.019077568633210917, 0.019935166258296954, 0.022389581796225612, 0.024924254446522489, 0.021201639966255945, 0.019412550166640018, 0.018801044031755549, 0.018544742927653773, 0.018417435462578527, 0.018346198999028653, 0.018302789120279557, 0.01827460692194028, 0.018255399410155741, 0.018241796645579254, 0.018231860167535162, 0.018224414594801307, 0.018218715600542609, 0.018214274366295986, 0.018210759802437606, 0.018207941624418945, 0.018205655933220898, 0.018203783707534248, 0.018202236971745493, 0.01820094967163452, 0.018199871518268039, 0.018198963750018466, 0.018198196161863273, 0.018197544988877868, 0.018196991376062482, 0.018196520257409431, 0.018196119525044425, 0.018195779406960395, 0.018195491996815531, 0.018195250896065662, 0.018195050940186287, 0.018194887988711661, 0.018194758764434597, 0.018194660731130248, 0.018194592002094383, 0.018194551273964386, 0.018194537781955414, 0.018194544522551804, 0.018194564805064196, 0.018194598812632874, 0.018194646853753094, 0.018194709367259383, 0.018194786929491575, 0.018194880263840016, 0.018194990252937342, 0.0181951179538461, 0.018195264616688387, 0.018195431707280975, 0.018195620934483032, 0.018195834283141473, 0.018196074053741691, 0.018196342910152485, 0.018196643937211349, 0.018196980710354648, 0.018197357380088538, 0.018197778774866304, 0.01819825052694593, 0.018198779227133983, 0.018199372616095444, 0.018200039822291045, 0.018200791659831163, 0.018201641003950018, 0.018202603267904044, 0.018203697013617532, 0.018204944740433104, 0.018206373913534628, 0.018208018318545675, 0.018209919865450813, 0.018212131019663381, 0.018214718121004416, 0.018217765979445341, 0.01822138433818038, 0.018225717119102199, 0.018230955900194485, 0.018237359977589129, 0.018245286935914439, 0.018255240471155502, 0.018267947458965598, 0.01828448642938434, 0.018306510225056236, 0.018336649646308559, 0.018379284651818442, 0.018442111621730241, 0.01853956868277732, 0.018700983324726899, 0.018991829852049363, 0.019573250270717199, 0.020845885216335732, 0.02318012921218739, 0.023525631100206969, 0.021212334394364509, 0.019791365654397167, 0.019131268102666056, 0.018800003327893791, 0.01861544685173409, 0.018503330775954323, 0.018430457808864115, 0.018380514255626854, 0.018344808900054441, 0.018318392367562494, 0.018298286800713208, 0.018282616569499768, 0.018270153837294335, 0.018260067991465831, 0.018251781027231264, 0.018244880725809955, 0.018239066709954874, 0.018234115902450058, 0.018229859812281916, 0.018226169240759003, 0.018222943763269175, 0.018220104356252008, 0.018217588139031658, 0.018215344564700968, 0.018213332621017254, 0.018211518746407834, 0.018209875259621006, 0.018208379163235082, 0.018207011222631644, 0.018205755250251691, 0.018204597544456323, 0.018203526445976448, 0.018202531984625167, 0.018201605595898226, 0.018200739892128521, 0.018199928476553502, 0.018199165791385516, 0.018198446993012585, 0.018197767848990996, 0.018197124652654832, 0.018196514152056371, 0.018195933490637455, 0.018195380157562106, 0.01819485194605688, 0.018194346918430929, 0.018193863376706823, 0.018193399837998985, 0.018192955013942191, 0.018192527793606916, 0.018192117229447489, 0.018191722525919805, 0.018191343030480749, 0.018190978226745692, 0.018190627729635554, 0.018190291282393894, 0.018189968755398342, 0.018189660146731592, 0.018189365584516667, 0.018189085331059597, 0.018188819788882902, 0.018188569508774847, 0.018188335200025406, 0.018188117743070276, 0.018187918204822025, 0.018187737857034005, 0.018187578198120204, 0.0181874409789466, 0.01818732823321938, 0.01818724231322813, 0.018187185931862224, 0.018187162212015214, 0.018187174744731516, 0.018187227657746108, 0.01818732569643524, 0.018187474319652435, 0.018188291532870625, 0.018189857771080759, 0.018192535549621369, 0.018196908128502026, 0.018203946794467765, 0.018215340824329802, 0.0182341939209534, 0.018266624113184651, 0.018325862915267405, 0.01844441263079873, 0.018718441353904908, 0.019532148272456161, 0.023629959260048315, 0.088120931158473345, 0.027447668807569679, 0.020840733640789713, 0.01950527457310558, 0.019014792295114876, 0.01877818369399736, 0.018645084989721561, 0.018562736395445326, 0.018508661748054767, 0.018471998862729988, 0.018447076804095866, 0.018430875462135156, 0.018421958552601217, 0.01842009732041551, 0.018426381953634382, 0.018444003228490907, 0.01848062387103731, 0.01855593941745225, 0.018731975305366185, 0.0192986891580628, 0.023731777463542859, 0.026361115074778927, 0.019045363652529332, 0.018482528929774197, 0.018344902248269946, 0.018293757340385366, 0.018270031644926688, 0.018257340715517614, 0.018249816533014489, 0.018244981868643428, 0.018241662472631728, 0.01823925126819682, 0.018237412297361456, 0.018235949044655402, 0.018234741073512719, 0.018233711531849807, 0.018232809588372909, 0.01823200050970665, 0.018231259838486343, 0.018230569864166633, 0.018229917421759705, 0.018229292483897378, 0.018228687239974794, 0.018228095481704197, 0.018227512185646003, 0.018226933224843818, 0.018226355166553018, 0.018225775128271008, 0.018225190673788912, 0.018224599737045464, 0.018224000565495186, 0.018223391677296516, 0.018222771828362936, 0.018222139986501389, 0.018221495310676173, 0.018220837134004644, 0.018220164949490959, 0.018219478397789649, 0.018218777256494616, 0.018218061430596309, 0.018217330943855692, 0.018216585930919408, 0.018215826630055217, 0.018215053376424366, 0.018214266595833965, 0.01821346679892984, 0.018212654575800909, 0.01821183059097263, 0.018210995578769471, 0.018210150339026995, 0.018209295733132957, 0.018208432680374757, 0.018207562154568108, 0.018206685180939122, 0.018205802833229326, 0.018204916230991214, 0.018204026537039696, 0.018203134955023806, 0.018202242727081999, 0.018201351131544141, 0.018200461480643595, 0.018199575118203519, 0.018198693417262869, 0.018197817777609208, 0.018196949623187957, 0.018196090399359998, 0.018195241569982888, 0.018194404614294349, 0.018193581023580239, 0.018192772297613711, 0.018191979940856213, 0.018191205458416033, 0.018190450351764479, 0.018189716114215188, 0.01818900422617695, 0.018188316150195508, 0.018187653325805044, 0.018187017164215048, 0.018186409042863023, 0.018185830299868179, 0.018185282228425258, 0.01818476607118176, 0.018184283014644694, 0.018183834183665842, 0.018183420636056383, 0.018183043357382866, 0.018182703255996871, 0.018182401158350125, 0.018182137804645535, 0.018181913844872111, 0.018181729835268737, 0.018181586235257598, 0.018181483404883309, 0.018181421602788239, 0.018181400984748488, 0.018181414730799157, 0.018181455942542758, 0.018181524540834597, 0.01818162039403444, 0.018181743318405077, 0.018181893078664822, 0.018182069388688486, 0.018182271912349848, 0.018182500264497446, 0.018182754012054023, 0.01818303267522894, 0.018183335728831719, 0.018183662603673975, 0.018184012688046203, 0.018184385329255131, 0.01818477983520719, 0.018185195476022712, 0.018185631485666046, 0.018186087063576054, 0.018186561376282186, 0.018187053558991306, 0.018187562717131067, 0.018188087927836469, 0.018188628241366842, 0.018189182682441688, 0.018189750251485164, 0.018190329925770046, 0.018190920660454146, 0.018191521389503484, 0.018192131026498842, 0.018192748465324426, 0.018193372580739817, 0.018194002228839216, 0.018194636247404639, 0.018195273456163036, 0.018195912656960724, 0.018196552633872019, 0.018197192153262837, 0.018197829963834105, 0.018198464796674099, 0.018199095365353041, 0.018199720366097974, 0.018200338478090189, 0.01820094836393189, 0.018201548670333221, 0.018202138029074135, 0.018202715058299294, 0.018203278364206522, 0.018203826543191044, 0.018204358184507885, 0.018204871873514064, 0.018205366195548803, 0.018205839740505134, 0.018206291108138904, 0.01820671891415071, 0.018207121797063654, 0.018207498425903357, 0.018207847508667746, 0.018208167801552044, 0.018208458118869324, 0.018208717343580042, 0.018208944438315004, 0.018209138456746751, 0.018209298555134871, 0.018209424003843126, 0.018209514198601274, 0.018209568671264248, 0.018209587099807099, 0.018209569317287146, 0.018209515319507003, 0.018209425271123767, 0.01820929950997182, 0.018209138549399331, 0.018208943078460924, 0.01820871395986003, 0.018208452225592815, 0.018208159070308334, 0.018207835842464461, 0.018207484033423062, 0.018207105264687707, 0.018206701273540522, 0.01820627389737774, 0.018205825057076193, 0.018205356739741777, 0.018204870981197163, 0.018204369848558593, 0.018203855423232197, 0.018203329784630365, 0.018202794994870111, 0.018202253084670758, 0.018201706040620078, 0.018201155793928777, 0.018200604210744632, 0.018200053084052804, 0.018199504127147579, 0.018198958968625993, 0.018198419148824325, 0.018197886117595964, 0.018197361233312656, 0.018196845762960136, 0.018196340883193995, 0.018195847682220524, 0.018195367162369788, 0.018194900243234106, 0.018194447765252725, 0.018194010493632947, 0.018193589122508173, 0.018193184279244084, 0.018192796528814996, 0.018192426378182872, 0.018192074280621497, 0.018191740639937753, 0.018191425814550306, 0.018191130121393943, 0.018190853839624477, 0.018190597214105386, 0.018190360458662125, 0.018190143759094838, 0.018189947275943481, 0.018189771147002501, 0.018189615489584244, 0.018189480402532387, 0.018189365967987411, 0.018189272252907177, 0.018189199310346064, 0.018189147180495895, 0.018189115891491896, 0.018189105459986341], [0.01765697154606595, 0.017656990477251781, 0.017657047246004635, 0.017657141778057352, 0.017657273950119227, 0.017657443590604702, 0.017657650480646984, 0.017657894355390266, 0.017658174905552357, 0.017658491779248071, 0.017658844584062049, 0.017659232889358445, 0.017659656228813381, 0.017660114103155281, 0.017660605983096912, 0.017661131312442305, 0.017661689511350991, 0.017662279979741551, 0.017662902100815933, 0.017663555244686074, 0.017664238772084024, 0.017664952038137026, 0.017665694396189119, 0.017666465201651108, 0.017667263815861096, 0.017668089609938369, 0.017668941968613548, 0.017669820294018888, 0.0176707240094225, 0.017671652562891275, 0.01767260543086711, 0.017673582121641749, 0.017674582178715263, 0.017675605184023609, 0.01767665076102002, 0.017677718577595126, 0.017678808348819658, 0.017679919839493251, 0.017681052866481625, 0.01768220730082366, 0.017683383069588627, 0.017684580157463069, 0.017685798608045981, 0.017687038524830716, 0.017688300071852792, 0.017689583473984444, 0.017690889016860604, 0.017692217046426956, 0.017693567968110634, 0.017694942245628256, 0.017696340399466336, 0.017697763005097244, 0.017699210691032013, 0.017700684136861464, 0.017702184071502782, 0.017703711271952562, 0.017705266562952772, 0.017706850818107463, 0.017708464963147933, 0.017710109982236738, 0.01771178692842864, 0.017713496939671686, 0.017715241262034571, 0.017717021282186482, 0.01771883857153099, 0.017720694944802391, 0.017722592536369056, 0.017724533897951946, 0.017726522121964197, 0.017728560995224227, 0.01773065518842689, 0.017732810487537925, 0.017735034074311359, 0.017737334864581511, 0.017739723915090176, 0.01774221491272162, 0.017744824764616904, 0.017747574314405747, 0.017750489219683873, 0.017753601040248337, 0.017756948607488384, 0.017760579775737459, 0.017764553700990015, 0.017768943858577208, 0.017773842111189573, 0.017779364291981237, 0.017785658008288359, 0.017792913758795752, 0.017801381096482157, 0.017811392656367084, 0.017823400773211626, 0.017838034878348348, 0.017856194416985105, 0.01787920500051992, 0.017909092589827137, 0.017949090649873226, 0.018004638996662433, 0.018085508822188505, 0.018210784941653946, 0.018422118354862203, 0.018825536459279979, 0.019759502167756387, 0.022753805402554613, 0.036044185439019133, 0.028147089816897498, 0.020335994190737047, 0.018707544433479249, 0.018182306131901527, 0.017959313647744255, 0.017847610617390392, 0.017785256800218564, 0.017747714814337599, 0.017723823798885617, 0.017707968094050029, 0.017697096430844397, 0.017689447690248172, 0.017683954758732606, 0.01767994475364916, 0.01767697911121981, 0.017674763984677936, 0.017673097913105069, 0.017671840161453491, 0.017670890984003245, 0.017670179008221674, 0.017669653007162656, 0.017669276459410233, 0.017669023935544266, 0.017668878725090632, 0.017668831346085545, 0.017668842804596279, 0.017668877388451673, 0.01766893572929705, 0.017669018902477643, 0.017669128462198834, 0.017669266493364821, 0.017669435682962017, 0.017669639415065219, 0.017669881895112032, 0.017670168311174978, 0.017670505042788304, 0.017670899931789823, 0.017671362635107549, 0.017671905087194906, 0.017672542111025081, 0.017673292232945975, 0.017674178781039832, 0.017675231383376691, 0.017676488038999037, 0.017677998022860939, 0.017679826027246145, 0.01768205817330586, 0.017684810914025063, 0.01768824451863505, 0.017692584018563391, 0.01769815268856699, 0.017705427343691672, 0.017715133175487754, 0.017728413702921324, 0.0177471515290266, 0.017774612443486097, 0.017816840164547747, 0.017885972566804083, 0.018009116115844666, 0.018255977070952431, 0.018842579397399386, 0.020573834419560257, 0.024621668195756213, 0.02224102770088271, 0.019519564018167842, 0.018592145513225255, 0.018217131863323948, 0.018033568262300098, 0.017930771740937858, 0.017867470447169319, 0.017825683727165618, 0.017796605814933034, 0.017775520590026916, 0.017759718646719862, 0.017747553245134887, 0.017737976261373065, 0.017730294439337772, 0.017724034100894195, 0.017718862478292616, 0.01771454011514283, 0.017710891058731755, 0.01770778362535607, 0.017705117656420945, 0.01770281587522067, 0.017700817901444513, 0.017699076028097994, 0.017697552191531202, 0.017696215764467445, 0.017695041926561808, 0.017694010446695982, 0.017693104763164557, 0.017692311282395248, 0.017691618840128841, 0.017691018284951003, 0.017690502155180123, 0.01769006442796044, 0.017689700325025988, 0.017689406163680269, 0.017689179244545827, 0.017689017769896419, 0.017688920788116042, 0.017688888161191251, 0.017688920553251074, 0.017689019439107726, 0.017689187132588522, 0.017689426835238012, 0.017689742706758296, 0.017690139959388684, 0.017690624979348833, 0.017691205479532766, 0.017691890688901857, 0.017692691585552221, 0.017693621182312842, 0.017694694876072774, 0.017695930874979303, 0.017697350721372646, 0.017698979933060448, 0.017700848791590867, 0.017702993313953745, 0.017705456454145105, 0.017708289593951192, 0.017711554399033227, 0.017715325138079628, 0.017719691590936237, 0.017724762708144767, 0.01773067123163544, 0.017737579547411481, 0.017745687119451986, 0.017755239953626222, 0.01776654266483875, 0.017779973872126799, 0.01779600582310821, 0.017815229339813807, 0.017838385352239066, 0.017866404376802321, 0.01790045516924783, 0.017942003180028362, 0.017992877905935876, 0.018055344981484308, 0.018132172633107312, 0.018226671100792541, 0.018342665569053698, 0.018484336300462451, 0.018655825460640756, 0.018860478916736721, 0.019099591627211351, 0.019370612163211696, 0.01966500777099367, 0.019966428442271159, 0.020250306462325309, 0.020486185448146167, 0.020643352618597691, 0.020698630193575616, 0.020643352618597687, 0.020486185448147957, 0.020250306462324827, 0.019966428442270936, 0.019665007770993708, 0.019370612163213029, 0.019099591627211112, 0.018860478916736537, 0.018655825460640273, 0.018484336300462194, 0.018342665569053989, 0.01822667110079253, 0.018132172633107416, 0.018055344981484339, 0.017992877905935935, 0.017942003180028348, 0.017900455169247851, 0.017866404376802324, 0.017838385352239056, 0.0178152293398138, 0.017796005823108196, 0.017779973872126788, 0.017766542664838746, 0.017755239953626226, 0.017745687119451979, 0.017737579547411481, 0.017730671231635436, 0.01772476270814476, 0.017719691590936237, 0.017715325138079625, 0.017711554399033231, 0.017708289593951196, 0.017705456454145101, 0.017702993313953742, 0.017700848791590871, 0.017698979933060448, 0.017697350721372646, 0.017695930874979303, 0.017694694876072774, 0.017693621182312845, 0.017692691585552221, 0.017691890688901847, 0.017691205479532766, 0.017690624979348826, 0.01769013995938868, 0.017689742706758289, 0.017689426835238012, 0.017689187132588526, 0.017689019439107723, 0.01768892055325107, 0.017688888161191255, 0.017688920788116038, 0.017689017769896422, 0.017689179244545824, 0.017689406163680272, 0.017689700325025981, 0.01769006442796044, 0.017690502155180123, 0.017691018284951003, 0.017691618840128841, 0.017692311282395245, 0.01769310476316456, 0.017694010446695978, 0.017695041926561812, 0.017696215764467452, 0.017697552191531199, 0.017699076028097994, 0.017700817901444513, 0.017702815875220674, 0.017705117656420948, 0.01770778362535607, 0.017710891058731752, 0.017714540115142827, 0.017718862478292623, 0.017724034100894199, 0.017730294439337775, 0.017737976261373078, 0.017747553245134894, 0.017759718646719859, 0.017775520590026905, 0.017796605814933062, 0.017825683727165541, 0.017867470447169298, 0.017930771740937785, 0.018033568262300098, 0.018217131863324298, 0.018592145513225505, 0.019519564018169899, 0.022241027700875531, 0.024621668195755769, 0.020573834419567328, 0.018842579397401912, 0.018255977070952681, 0.01800911611584478, 0.017885972566804048, 0.017816840164547727, 0.017774612443486132, 0.017747151529026582, 0.017728413702921351, 0.017715133175487757, 0.017705427343691675, 0.017698152688566997, 0.017692584018563395, 0.01768824451863505, 0.017684810914025059, 0.01768205817330586, 0.017679826027246139, 0.017677998022860936, 0.01767648803899903, 0.017675231383376691, 0.017674178781039829, 0.017673292232945972, 0.017672542111025077, 0.017671905087194902, 0.017671362635107553, 0.017670899931789823, 0.017670505042788307, 0.017670168311174978, 0.017669881895112028, 0.017669639415065219, 0.017669435682962014, 0.017669266493364817, 0.017669128462198831, 0.017669018902477636, 0.017668935729297053, 0.017668877388451673, 0.017668842804596272, 0.017668831346085545, 0.017668837070876835, 0.017668854295503213, 0.01766888317148441, 0.017668923953913052, 0.017668977005362841, 0.017669042801499443, 0.017669121938540328, 0.017669215142760979, 0.017669323282304285, 0.017669447381620129, 0.017669588638946101, 0.017669748447342048, 0.017669928419917123, 0.017670130420043166, 0.017670356597542965, 0.017670609432087661, 0.01767089178534885, 0.017671206963849818, 0.017671558794973286, 0.017671951719248877, 0.017672390902912706, 0.017672882375875967, 0.017673433201757013, 0.017674051688661766, 0.017674747652135663, 0.01767553274543945, 0.017676420877428184, 0.017677428745434799, 0.017678576520564412, 0.017679888737026129, 0.017681395457599589, 0.017683133817206213, 0.017685150090792658, 0.017687502498292224, 0.01769026506131095, 0.017693532985082149, 0.017697430292174448, 0.01770212084621348, 0.017707824590971734, 0.01771484200839827, 0.017723591881764766, 0.017734671258197224, 0.017748953738411368, 0.017767756566449334, 0.017793136868564558, 0.017828443201389283, 0.017879403173778126, 0.017956418914242649, 0.018079816744573547, 0.01829301987506592, 0.018698910630238944, 0.019563610423704365, 0.021473623216565232, 0.023652285771549431, 0.021960200407688899, 0.019871411448361048, 0.018881457047369168, 0.018414789514155653, 0.018169251705979359, 0.018026544505175521, 0.017936871388499274, 0.01787700631622283, 0.01783508940615857, 0.017804594641645993, 0.017781704110107807, 0.017764068244487417, 0.017750178623424474, 0.017739031564570688, 0.017729938479589636, 0.017722414296943288, 0.017716109341463414, 0.017710766379973111, 0.017706192754936581, 0.017702241845324141, 0.01769880045261963, 0.017695780043614769, 0.017693110559280866, 0.017690735965121846, 0.017688611004856723, 0.017686698799344681, 0.017684969048222594, 0.017683396667298516, 0.017681960745037792, 0.017680643735486702, 0.017679430828319687, 0.017678309452937122, 0.017677268884987118, 0.017676299931848084, 0.017675394679497285, 0.017674546287481451, 0.01767374882186382, 0.017672997118368124, 0.017672286669698074, 0.017671613532339068, 0.017670974249161083, 0.017670365784917024, 0.017669785472332045, 0.017669230966945344, 0.01766870020923272, 0.017668191392826989, 0.017667702937882852, 0.017667233468817125, 0.017666781795803301, 0.017666346899520621, 0.017665927918757141, 0.017665524140548984, 0.017665134992607974, 0.017664760037849711, 0.01766439897088672, 0.017664051616398613, 0.017663717929334813, 0.017663397996946578, 0.017663092042686609, 0.01766280043205538, 0.017662523680517787, 0.017662262463660303, 0.017662017629811851, 0.017661790215410519, 0.017661581463467104, 0.017661392845556127, 0.017661226087860079, 0.017661083201905448, 0.017660966520765573, 0.017660878741670428, 0.017660822976165041, 0.017660802809205518, 0.017660822368886914, 0.017660886408875077, 0.017661404514728602, 0.017662578748378784, 0.017664723727391266, 0.017668342652128442, 0.017674266245253322, 0.017683922344587072, 0.017699893302712998, 0.017727163135964258, 0.01777620373462227, 0.017871700939895603, 0.01808226349467346, 0.018654335429982832, 0.020995648160603491, 0.048816288646275907, 0.035168803038360716, 0.021288676000869759, 0.019277556869386366, 0.018625724782692074, 0.018330672964348295, 0.018170923494950867, 0.01807456245290091, 0.018012426722466439, 0.017970891924413729, 0.017943016802210533, 0.017925173644317505, 0.017915671337828606, 0.017914280587955161, 0.017922385364982453, 0.017944012215945573, 0.017989031931989731, 0.018083855744329864, 0.018317792084230622, 0.019173479445255156, 0.029491874751694909, 0.02159890254287046, 0.018298567300589329, 0.017911445440835467, 0.017804113490764436, 0.017761883521538326, 0.017741663648094333, 0.017730633767281928, 0.017724007543633565, 0.017719708999141392, 0.017716735670720105, 0.017714562441565218, 0.01771289592583351, 0.017711563287050563, 0.017710458017818911, 0.017709511848239819, 0.017708679442069185, 0.017707929698460245, 0.017707240625497004, 0.017706596222421812, 0.017705984530707552, 0.017705396385930095, 0.017704824601075739, 0.017704263421768059, 0.01770370815650333, 0.017703154921643583, 0.017702600462917391, 0.01770204202867906, 0.017701477278632881, 0.017700904217126293, 0.017700321143622338, 0.017699726615277151, 0.017699119418101344, 0.017698498544241034, 0.017697863173642966, 0.017697212658876988, 0.017696546512247849, 0.017695864394583542, 0.017695166105270249, 0.017694451573234762, 0.017693720848669409, 0.017692974095361559, 0.017692211583536697, 0.01769143368315669, 0.017690640857636719, 0.017689833657957572, 0.017689012717158229, 0.017688178745196861, 0.017687332524169191, 0.017686474903871489, 0.01768560679769305, 0.017684729178819112, 0.017683843076722064, 0.017682949573914659, 0.017682049802935786, 0.017681144943536471, 0.017680236220031197, 0.017679324898777944, 0.017678412285749106, 0.017677499724154909, 0.017676588592080971, 0.01767568030010231, 0.017674776288837273, 0.017673878026406655, 0.017672987005765559, 0.017672104741878109, 0.017671232768708526, 0.017670372636005346, 0.017669525905859896, 0.017668694149024007, 0.017667878940976926, 0.017667081857736015, 0.017666304471410991, 0.017665548345506831, 0.017664815029985761, 0.017664106056104221, 0.017663422931046127, 0.017662767132379211, 0.017662140102366129, 0.017661543242167243, 0.017660977905976157, 0.017660445395133405, 0.017659946952267063, 0.017659483755511848, 0.017659056912860516, 0.017658667456702443, 0.017658316338604936, 0.017658004424392016, 0.017657732489574283, 0.017657501215180602, 0.017657311184039629, 0.01765716287755419, 0.017657056673007099, 0.017656992841430654, 0.01765697154606595, 0.017656985743700216, 0.017657028308934949, 0.017657099158850657, 0.017657198155529678, 0.01765732510647549, 0.017657479765193943, 0.01765766183193063, 0.017657870954557162, 0.017658106729597622, 0.01765836870338508, 0.017658656373336981, 0.0176589691893368, 0.017659306555208778, 0.017659667830271304, 0.017660052330954232, 0.017660459332464618, 0.017660888070485058, 0.01766133774288892, 0.017661807511456382, 0.017662296503575599, 0.017662803813913722, 0.017663328506042918, 0.01766386961400734, 0.017664426143818066, 0.017664997074863797, 0.01766558136122693, 0.01766617793289553, 0.01766678569686406, 0.017667403538117087, 0.017668030320492804, 0.017668664887425099, 0.017669306062565927, 0.017669952650292191, 0.0176706034361046, 0.017671257186929263, 0.017671912651336098, 0.017672568559692365, 0.017673223624273076, 0.017673876539354774, 0.017674525981323269, 0.017675170608830532, 0.017675809063040698, 0.01767643996800955, 0.017677061931246539, 0.017677673544512631, 0.017678273384911108, 0.017678860016331992, 0.017679431991313048, 0.017679987853381963, 0.017680526139944655, 0.017681045385782912, 0.017681544127221612, 0.017682020907019973, 0.017682474280033326, 0.017682902819680924, 0.017683305125241369, 0.017683679829980196, 0.017684025610093527, 0.01768434119442867, 0.017684625374915823, 0.017684877017616629, 0.017685095074264957, 0.017685278594144017, 0.017685426736113452, 0.017685538780570942, 0.017685614141107069, 0.017685652375591523, 0.017685653196414144, 0.017685616479598182, 0.017685542272506082, 0.017685430799871685, 0.017685282467917188, 0.017685097866348629, 0.017684877768069776, 0.017684623126509171, 0.017684335070517639, 0.017684014896860587, 0.017683664060398698, 0.017683284162118378, 0.017682876935236385, 0.017682444229659273, 0.017681987995123161, 0.01768151026337255, 0.017681013129756038, 0.01768049873462163, 0.017679969244884849, 0.017679426836120591, 0.017678873675496254, 0.017678311905820754, 0.017677743630935234, 0.017677170902618639, 0.017676595709127458, 0.017676019965436843, 0.017675445505201295, 0.017674874074409434, 0.017674307326669775, 0.01767374682003341, 0.017673194015236104, 0.017672650275225053, 0.017672116865825246, 0.017671594957395381, 0.017671085627323641, 0.017670589863217286, 0.017670108566647767, 0.017669642557322181, 0.0176691925775634, 0.017668759296992877, 0.017668343317322959, 0.017667945177177409, 0.017667565356871237, 0.017667204283091802, 0.017666862333433741, 0.017666539840749729, 0.017666237097287239, 0.017665954358589302, 0.017665691847143256, 0.017665449755766987, 0.017665228250726681, 0.017665027474583761, 0.017664847548771487, 0.017664688575903656, 0.017664550641819796, 0.017664433817371736, 0.017664338159957133, 0.017664263714805679, 0.017664210516023141, 0.017664178587398108, 0.017664167942975251], [0.017117041594304147, 0.017117060959183996, 0.017117119028165293, 0.017117215724425948, 0.017117350920436938, 0.017117524438720531, 0.017117736052904942, 0.017117985489068448, 0.017118272427364543, 0.017118596503917602, 0.017118957312977127, 0.017119354409317264, 0.017119787310866517, 0.017120255501552009, 0.017120758434341066, 0.017121295534462396, 0.017121866202788261, 0.017122469819358669, 0.017123105747028147, 0.017123773335215576, 0.017124471923737523, 0.017125200846705466, 0.017125959436467983, 0.017126747027578632, 0.017127562960771506, 0.017128406586926274, 0.017129277271005428, 0.01713017439594711, 0.017131097366496966, 0.017132045612963786, 0.017133018594883278, 0.017134015804575495, 0.017135036770581095, 0.017136081060962136, 0.01713714828645287, 0.017138238103445919, 0.017139350216798792, 0.017140484382445316, 0.017141640409795916, 0.017142818163909931, 0.017144017567422832, 0.017145238602210483, 0.017146481310772798, 0.017147745797319681, 0.017149032228543793, 0.017150340834067749, 0.017151671906558738, 0.017153025801511426, 0.017154402936712273, 0.017155803791415257, 0.017157228905283015, 0.017158678877179551, 0.017160154363943837, 0.017161656079329769, 0.017163184793370867, 0.017164741332520161, 0.017166326581031264, 0.01716794148418932, 0.017169587054173902, 0.017171264379543815, 0.017172974639579418, 0.017174719125003214, 0.017176499266925875, 0.017178316676232173, 0.017180173196028461, 0.017182070970219007, 0.017184012531762757, 0.017186000914687707, 0.017188039794520223, 0.017190133662446497, 0.017192288039313514, 0.017194509736581827, 0.017196807172697906, 0.017199190755264444, 0.017201673342154278, 0.017204270798766443, 0.017207002674571124, 0.017209893030793108, 0.01721297146377097, 0.017216274386990436, 0.017219846661691268, 0.017223743705368152, 0.017228034265829015, 0.01723280413604214, 0.01723816121875928, 0.017244242558441349, 0.01725122429072902, 0.017259336004184438, 0.017268881925238396, 0.017280272927058631, 0.017294076217460593, 0.017311094886837325, 0.017332499878767366, 0.017360058229181116, 0.01739654769442453, 0.017446555747709272, 0.017518134279156043, 0.017626549167476718, 0.017803819373750664, 0.018127039583606855, 0.018822793894599645, 0.020796140435999321, 0.02947037841322498, 0.034991931087337801, 0.0211459860541931, 0.018507729331483279, 0.017766424764889748, 0.017475314441341299, 0.017336367293931648, 0.017261293990770945, 0.017217141106678824, 0.017189534955778456, 0.017171464688183428, 0.017159211205810529, 0.01715066842814101, 0.017144579796997673, 0.017140162999559564, 0.017136913501711735, 0.017134496177560462, 0.017132682848889878, 0.017131314916278992, 0.017130280277412934, 0.0171294986773355, 0.017128912196711872, 0.017128478964382073, 0.017128168951639437, 0.01712796115119258, 0.017127841709798735, 0.017127802748303642, 0.017127812572648216, 0.017127842219789437, 0.017127892217380463, 0.017127963462878371, 0.017128057251549866, 0.017128175317659394, 0.017128319891000828, 0.017128493771832648, 0.017128700428427131, 0.017128944122958446, 0.017129230073486806, 0.017129564662570106, 0.01712995570687707, 0.017130412807569342, 0.017130947808895465, 0.017131575403507446, 0.017132313939203093, 0.017133186505844358, 0.017134222417496407, 0.017135459260578058, 0.017136945766078524, 0.01713874590336156, 0.017140944821115646, 0.017143657643365152, 0.017147042787719339, 0.017151322645736603, 0.017156816625668956, 0.017163995698829333, 0.017173575895850439, 0.017186685747875272, 0.01720518207392429, 0.017232283585747191, 0.017273941707254967, 0.017342097280484105, 0.01746339191949034, 0.017706317406421222, 0.018283766665600845, 0.020005720171188346, 0.024339114870344517, 0.021989061317733847, 0.019054058245684062, 0.018077872802905355, 0.017688928782911766, 0.017500060571054375, 0.017394791266591794, 0.017330161561444617, 0.017287583616447107, 0.017257996343249721, 0.017236562845431538, 0.017220511108933519, 0.017208159479448058, 0.017198439168357938, 0.017190644069796642, 0.017184292176403881, 0.017179045126962778, 0.017174659592730099, 0.017170956868496696, 0.0171678032685319, 0.017165097148447044, 0.017162760109233441, 0.017160730909665519, 0.017158961173447118, 0.017157412310610298, 0.01715605327605561, 0.017154858915272568, 0.017153808728508368, 0.017152885937579267, 0.017152076774638023, 0.017151369935907605, 0.017150756159634718, 0.017150227898817288, 0.017149779067235211, 0.017149404843021528, 0.017149101518156358, 0.017148866385322353, 0.01714869765585466, 0.017148594404276442, 0.017148556536293522, 0.01714858477824557, 0.017148680686962771, 0.017148846679822836, 0.017149086085599081, 0.01714940321748188, 0.017149803470487994, 0.017150293446388468, 0.017150881110333381, 0.017151575984584295, 0.017152389386245682, 0.017153334717692429, 0.017154427820616276, 0.017155687407378519, 0.017157135586809914, 0.017158798505928576, 0.017160707134491606, 0.017162898226153522, 0.017165415498645569, 0.017168311086274455, 0.017171647331720073, 0.017175499001247794, 0.017179956028782403, 0.017185126920599026, 0.01719114298437394, 0.017198163584395888, 0.017206382668497024, 0.017216036859776802, 0.017227415452502715, 0.017240872686246089, 0.017256842675320818, 0.01727585730565772, 0.017298567215396923, 0.01732576554359018, 0.017358413295007778, 0.017397663671484043, 0.017444880197460887, 0.017501639460524129, 0.017569703346433617, 0.017650937638283695, 0.017747144642981327, 0.01785977024088832, 0.017989447595000856, 0.018135363274462961, 0.018294492961315873, 0.018460863376280903, 0.018625137275197649, 0.01877491888255349, 0.01889611509879989, 0.018975358978090582, 0.019002957862384873, 0.018975358978090617, 0.01889611509880075, 0.018774918882553258, 0.018625137275197528, 0.018460863376280924, 0.018294492961316633, 0.018135363274462808, 0.017989447595000745, 0.017859770240888018, 0.017747144642981154, 0.0176509376382839, 0.01756970334643361, 0.017501639460524201, 0.017444880197460919, 0.017397663671484098, 0.017358413295007761, 0.017325765543590194, 0.017298567215396934, 0.01727585730565771, 0.017256842675320818, 0.017240872686246071, 0.017227415452502715, 0.017216036859776806, 0.017206382668497035, 0.017198163584395878, 0.017191142984373943, 0.017185126920599019, 0.017179956028782396, 0.017175499001247787, 0.01717164733172007, 0.017168311086274458, 0.017165415498645569, 0.017162898226153522, 0.017160707134491606, 0.017158798505928569, 0.017157135586809914, 0.017155687407378519, 0.017154427820616273, 0.017153334717692429, 0.017152389386245678, 0.017151575984584298, 0.017150881110333381, 0.017150293446388465, 0.017149803470487994, 0.01714940321748188, 0.017149086085599077, 0.017148846679822839, 0.017148680686962767, 0.017148584778245574, 0.017148556536293515, 0.017148594404276442, 0.01714869765585466, 0.017148866385322356, 0.017149101518156361, 0.017149404843021524, 0.017149779067235211, 0.017150227898817288, 0.017150756159634715, 0.017151369935907601, 0.017152076774638019, 0.017152885937579267, 0.017153808728508368, 0.017154858915272561, 0.01715605327605561, 0.017157412310610302, 0.017158961173447122, 0.017160730909665523, 0.017162760109233444, 0.01716509714844704, 0.017167803268531907, 0.017170956868496696, 0.017174659592730103, 0.017179045126962774, 0.017184292176403895, 0.017190644069796639, 0.017198439168357938, 0.017208159479448079, 0.017220511108933523, 0.017236562845431527, 0.017257996343249711, 0.017287583616447142, 0.017330161561444509, 0.017394791266591766, 0.017500060571054243, 0.017688928782911756, 0.018077872802906188, 0.019054058245684697, 0.021989061317740231, 0.024339114870349308, 0.020005720171187576, 0.018283766665602944, 0.017706317406422166, 0.017463391919490465, 0.017342097280484175, 0.017273941707254947, 0.017232283585747184, 0.017205182073924314, 0.017186685747875262, 0.017173575895850456, 0.017163995698829336, 0.017156816625668963, 0.017151322645736603, 0.017147042787719342, 0.017143657643365146, 0.017140944821115642, 0.017138745903361556, 0.017136945766078521, 0.017135459260578051, 0.0171342224174964, 0.017133186505844361, 0.01713231393920309, 0.017131575403507449, 0.017130947808895469, 0.017130412807569339, 0.017129955706877066, 0.017129564662570113, 0.017129230073486806, 0.017128944122958449, 0.017128700428427131, 0.017128493771832641, 0.017128319891000828, 0.017128175317659394, 0.017128057251549866, 0.017127963462878371, 0.017127892217380467, 0.017127842219789441, 0.017127812572648213, 0.017127802748303646, 0.017127807656748876, 0.017127822424141771, 0.017127847177260454, 0.017127882129438297, 0.017127927583670381, 0.017127983937067708, 0.017128051686769299, 0.017128131437460233, 0.017128223910687926, 0.017128329956220368, 0.017128450565751383, 0.017128586889331956, 0.017128740254996767, 0.017128912192166335, 0.017129104459542847, 0.017129319078390139, 0.017129558372305474, 0.01712982501486552, 0.017130122086880459, 0.017130453145440584, 0.017130822307523122, 0.017131234351686467, 0.01713169484237503, 0.017132210282674983, 0.017132788303115907, 0.017133437896471197, 0.017134169711707406, 0.017134996424608393, 0.017135933208650703, 0.017136998338161742, 0.01713821396774547, 0.017139607149066316, 0.017141211170888414, 0.017143067344752915, 0.017145227413171774, 0.017147756839971467, 0.017150739370377137, 0.017154283450206198, 0.017158531418648069, 0.017163672925460841, 0.017169964931679792, 0.017177762236177119, 0.017187565320833841, 0.01720009762816168, 0.017216434732857128, 0.017238228947535045, 0.017268118181774747, 0.017310511254351575, 0.017373195095525276, 0.017470881709050333, 0.017633766106929172, 0.017930363095139189, 0.018534080782403029, 0.019900152860708325, 0.022527258957192795, 0.022802820402879457, 0.020190469071341494, 0.018715095090793752, 0.018052328046384999, 0.017723967591733371, 0.017542011141878432, 0.017431737059350187, 0.017360133862784989, 0.017311076540145687, 0.01727600300850738, 0.017250046833620213, 0.017230283387451358, 0.017214871788776905, 0.017202607392277879, 0.017192675419108024, 0.017184508912567065, 0.017177703519898349, 0.017171964568862236, 0.017167073190253193, 0.017162864044831559, 0.017159210327712629, 0.017156013455636731, 0.017153195837932365, 0.017150695720810349, 0.017148463452211663, 0.017146458736810734, 0.017144648592094611, 0.01714300580803731, 0.017141507773344982, 0.01714013557182089, 0.017138873280051405, 0.01713770741673069, 0.017136626507332848, 0.017135620737338961, 0.017134681674039986, 0.017133802041878643, 0.017132975539913869, 0.01713219669266923, 0.017131460727624736, 0.017130763474116208, 0.01713010127954713, 0.017129470939691121, 0.017128869640535126, 0.017128294909635317, 0.017127744575365304, 0.017127216732757012, 0.017126709714888864, 0.017126222068978698, 0.017125752536502573, 0.017125300036792673, 0.017124863653676714, 0.017124442624811054, 0.017124036333435691, 0.017123644302343949, 0.017123266189916445, 0.017122901788119239, 0.01712255102241236, 0.017122213953559173, 0.017121890781369796, 0.017121581850455508, 0.017121287658116546, 0.017121008864535072, 0.017120746305499122, 0.017120501007945106, 0.017120274208676765, 0.017120067376701593, 0.017119882239723057, 0.017119720815443936, 0.01711958544847654, 0.017119478853826121, 0.01711940416812182, 0.017119365010025023, 0.017119365551560149, 0.017119657279834534, 0.017120530834563108, 0.017122261436733649, 0.017125286650288722, 0.017130322636535054, 0.017138586184690736, 0.017152244812352238, 0.017175399024492118, 0.017216435465332358, 0.01729439512073715, 0.017459337391235633, 0.017875539290422217, 0.019330829854167592, 0.030415685324557493, 0.05722538701946598, 0.022391207261572912, 0.019149247709222831, 0.018256306989039853, 0.01788212382398743, 0.017688368258526106, 0.017574826031657807, 0.017503087423309562, 0.017455877938890571, 0.017424631649359423, 0.017404962711660418, 0.017394869962359911, 0.01739413279223603, 0.017404518716155074, 0.017431154575229962, 0.017486914800218151, 0.017607879602117685, 0.017926729656986499, 0.01930433661693778, 0.04390821399648525, 0.019357059233671783, 0.017613617869955384, 0.017336335426015429, 0.01725108348902573, 0.017215800671160356, 0.017198402195586344, 0.017188728699788575, 0.017182839126999357, 0.017178979927130134, 0.017176289057755759, 0.017174309067372103, 0.017172781891884023, 0.017171554367364519, 0.017170531543289146, 0.017169652246505938, 0.017168875662636734, 0.017168173662002423, 0.017167526255197067, 0.017166918819407719, 0.017166340360142394, 0.017165782396153496, 0.01716523822916978, 0.017164702456700126, 0.017164170641515694, 0.017163639083954497, 0.017163104662784319, 0.0171625647224165, 0.017162016991832271, 0.017161459525424971, 0.017160890659111732, 0.017160308977152639, 0.017159713286514777, 0.017159102596572547, 0.017158476102594182, 0.017157833171924125, 0.017157173332096005, 0.017156496260341485, 0.017155801774125751, 0.017155089822458086, 0.017154360477810684, 0.017153613928538057, 0.017152850471731158, 0.017152070506467831, 0.017151274527439458, 0.017150463118944151, 0.017149636949242, 0.017148796765269304, 0.017147943387707552, 0.017147077706399606, 0.017146200676101852, 0.017145313312556167, 0.017144416688861037, 0.017143511932116846, 0.017142600220315954, 0.01714168277944492, 0.017140760880763391, 0.017139835838221817, 0.017138909005978753, 0.017137981775977917, 0.017137055575544718, 0.017136131864962833, 0.017135212134992531, 0.017134297904293883, 0.017133390716720896, 0.017132492138454646, 0.017131603754947416, 0.017130727167653081, 0.017129863990523388, 0.017129015846253978, 0.017128184362269032, 0.017127371166438414, 0.017126577882526337, 0.017125806125376567, 0.017125057495844212, 0.017124333575490445, 0.017123635921061864, 0.017122966058781833, 0.017122325478486838, 0.017121715627645657, 0.017121137905304305, 0.017120593656003706, 0.017120084163720857, 0.017119610645887361, 0.01711917424754129, 0.017118776035669844, 0.017118416993800688, 0.017118098016899459, 0.017117819906629271, 0.01711758336702561, 0.017117389000636786, 0.017117237305175066, 0.017117128670718899, 0.017117063377500259, 0.017117041594304147, 0.017117056117184143, 0.017117099657218134, 0.017117172128676132, 0.0171172733889671, 0.017117403239074229, 0.017117561424158406, 0.017117747634323676, 0.017117961505537311, 0.01711820262069522, 0.017118470510822454, 0.017118764656396807, 0.017119084488782747, 0.017119429391761781, 0.01711979870314426, 0.017120191716447391, 0.017120607682623391, 0.017121045811821282, 0.017121505275166135, 0.017121985206538976, 0.017122484704341415, 0.017123002833228734, 0.01712353862579663, 0.017124091084206792, 0.017124659181738, 0.017125241864250344, 0.017125838051551771, 0.017126446638657453, 0.017127066496934608, 0.017127696475126995, 0.017128335400256191, 0.017128982078398268, 0.017129635295338133, 0.017130293817106085, 0.017130956390404635, 0.017131621742936792, 0.017132288583651113, 0.0171329556029222, 0.017133621472690017, 0.01713428484658536, 0.017134944360073626, 0.017135598630653573, 0.017136246258152639, 0.017136885825165132, 0.017137515897684072, 0.017138135025982243, 0.017138741745801513, 0.017139334579913339, 0.017139912040115484, 0.017140472629731819, 0.017141014846681769, 0.017141537187184787, 0.017142038150161153, 0.017142516242384786, 0.017142969984435045, 0.017143397917482716, 0.017143798610930967, 0.017144170670913814, 0.017144512749633113, 0.017144823555490803, 0.017145101863945262, 0.017145346528990805, 0.017145556495127647, 0.017145730809657304, 0.017145868635106493, 0.017145969261552686, 0.017146032118597901, 0.017146056786716199, 0.017146043007685973, 0.017145990693812205, 0.017145899935648155, 0.01714577100794093, 0.017145604373551965, 0.017145400685141733, 0.017145160784456936, 0.017144885699117072, 0.017144576636863241, 0.017144234977302962, 0.01714386226125748, 0.017143460177889126, 0.017143030549852233, 0.017142575316769076, 0.017142096517378844, 0.017141596270741251, 0.017141076756895052, 0.017140540197375091, 0.017139988835980498, 0.017139424920161024, 0.017138850683352077, 0.017138268328542469, 0.017137680013306181, 0.017137087836472848, 0.017136493826554543, 0.017135899931990536, 0.017135308013220236, 0.017134719836548188, 0.01713413706972582, 0.017133561279142402, 0.01713299392849351, 0.017132436378778253, 0.017131889889466262, 0.017131355620671564, 0.017130834636171519, 0.017130327907114485, 0.017129836316268528, 0.017129360662674627, 0.017128901666580529, 0.017128459974544881, 0.017128036164615123, 0.017127630751496287, 0.017127244191640831, 0.017126876888201935, 0.017126529195803868, 0.017126201425093052, 0.017125893847042661, 0.017125606696990887, 0.017125340178400256, 0.017125094466330194, 0.0171248697106203, 0.017124666038784715, 0.017124483558621263, 0.017124322360540647, 0.01712418251962252, 0.017124064097405901, 0.017123967143421587, 0.017123891696474196, 0.017123837785680589, 0.017123805431270806, 0.017123794645156572], [0.016585127676685466, 0.016585147522437151, 0.016585207033102709, 0.016585306129072726, 0.016585444678194082, 0.016585622496560069, 0.016585839349609256, 0.016586094953525709, 0.016586388976931533, 0.01658672104286054, 0.016587090731000474, 0.016587497580189403, 0.016587941091150589, 0.016588420729448949, 0.016588935928651027, 0.01658948609366968, 0.016590070604273768, 0.016590688818742916, 0.016591340077646764, 0.016592023707728307, 0.0165927390258706, 0.016593485343126581, 0.016594261968791889, 0.016595068214500977, 0.016595903398327515, 0.0165967668488704, 0.016597657909307638, 0.01659857594140084, 0.016599520329433778, 0.016600490484069259, 0.016601485846108807, 0.016602505890140618, 0.016603550128061285, 0.016604618112457274, 0.016605709439832191, 0.016606823753666053, 0.016607960747292445, 0.016609120166579498, 0.016610301812400152, 0.016611505542877134, 0.016612731275387798, 0.016613978988314335, 0.016615248722525486, 0.016616540582577548, 0.016617854737625063, 0.016619191422036297, 0.01662055093571534, 0.016621933644143119, 0.01662333997816386, 0.016624770433564123, 0.016626225570518849, 0.016627706013015917, 0.016629212448419167, 0.01663074562739288, 0.016632306364491162, 0.016633895539817319, 0.016635514102284789, 0.016637163075166744, 0.016638843564809741, 0.016640556773612425, 0.016642304018635586, 0.016644086757518894, 0.016645906623732755, 0.016647765473593267, 0.016649665447913388, 0.01665160905165575, 0.016653599255495581, 0.016655639623803568, 0.016657734474240793, 0.016659889074956795, 0.016662109886367404, 0.016664404855770223, 0.016666783774805526, 0.016669258712246039, 0.016671844538176338, 0.016674559560839308, 0.016677426305049581, 0.016680472472197796, 0.016683732138082413, 0.016687247268454674, 0.016691069666801204, 0.016695263520040193, 0.016699908784267921, 0.01670510576881978, 0.016710981456696122, 0.016717698383921835, 0.016725467361820678, 0.016734566094896715, 0.016745367066259311, 0.016758380402362012, 0.016774321734811113, 0.016794223339899945, 0.016819623472102571, 0.016852904219880425, 0.016897928706867488, 0.016961326377218509, 0.017055310638626291, 0.017204546513940155, 0.017465399356034458, 0.017991349220496642, 0.019327360072295456, 0.024391833169378284, 0.041171543079661997, 0.023218524444177501, 0.018519578038968032, 0.017412334466804093, 0.017018545805246987, 0.016841389471783017, 0.01674932381470625, 0.016696644273167933, 0.016664373561594833, 0.016643582254050694, 0.016629661564221795, 0.016620057355992698, 0.016613272106966087, 0.016608386777481204, 0.016604815701070103, 0.016602173729333557, 0.01660020078299259, 0.016598717275811459, 0.016597596872492983, 0.016596749349543145, 0.016596109541777249, 0.016595630064877041, 0.016595276446359213, 0.016595023834649718, 0.016594854772274414, 0.016594757711331683, 0.016594726070345817, 0.016594734457038542, 0.016594759763294085, 0.016594802431937433, 0.016594863215524707, 0.016594943198846704, 0.016595043831951716, 0.016595166975337718, 0.01659531495963958, 0.016595490662994837, 0.016595697610388704, 0.016595940100764647, 0.016596223369693477, 0.016596553798143759, 0.016596939181713351, 0.016597389080049024, 0.016597915273823247, 0.016598532367666428, 0.016599258593594329, 0.016600116893449628, 0.016601136395079995, 0.016602354452594625, 0.016603819508129475, 0.016605595171772118, 0.016607766143992699, 0.016610446986817119, 0.016613795408639151, 0.016618032899597152, 0.016623477714431789, 0.016630599341835976, 0.016640111911085921, 0.016653141561560041, 0.016671542299241913, 0.016698530265448732, 0.016740057536704371, 0.01680808126563333, 0.016929331156485844, 0.01717276202476907, 0.017754294989408934, 0.019512899612387245, 0.024132512870694626, 0.021636577226765315, 0.018558138186681932, 0.01755780516548857, 0.017162634957389809, 0.016971423226731848, 0.01686502432543838, 0.016799753544806027, 0.016756768782484201, 0.016726902082561827, 0.016705265192927029, 0.016689058774336032, 0.016676585432209651, 0.016666766719794578, 0.016658890294034744, 0.016652469946625462, 0.016647164386035727, 0.016642728178346746, 0.016638981067587613, 0.016635788200912858, 0.016633047039218495, 0.016630678486642861, 0.016628620751786907, 0.016626825018950318, 0.016625252343857227, 0.01662387139354005, 0.016622656778313157, 0.016621587805695358, 0.016620647539517742, 0.016619822082866848, 0.016619100027408323, 0.016618472028014756, 0.016617930473015546, 0.016617469228428165, 0.016617083440285882, 0.016616769383356458, 0.01661652434762893, 0.016616346556259053, 0.016616235110436504, 0.01661618995803071, 0.016616211884004129, 0.016616302521538159, 0.016616464383665912, 0.016616700916000135, 0.016617016571931095, 0.016617416912489313, 0.016617908733963987, 0.016618500227381625, 0.016619201175130612, 0.016620023191418913, 0.016620980014940428, 0.016622087864176533, 0.0166233658682674, 0.01662483658946393, 0.016626526656949834, 0.016628467536462792, 0.016630696465824258, 0.016633257593413005, 0.016636203364995623, 0.016639596214352695, 0.016643510624935985, 0.016648035643331584, 0.016653277940243981, 0.016659365530141634, 0.016666452274691743, 0.016674723304028818, 0.016684401487295962, 0.01669575505879833, 0.016709106440463931, 0.01672484216636911, 0.016743423566553499, 0.016765397439664972, 0.016791405245250801, 0.016822188258136483, 0.016858584517266545, 0.016901511168451323, 0.016951922978770788, 0.01701073476317895, 0.017078693258936531, 0.017156184767944352, 0.017242972243645183, 0.017337874057257695, 0.017438430033681077, 0.017540646326487018, 0.017638954683622119, 0.017726532878671916, 0.017796073494505384, 0.017840940752897036, 0.017856459545993415, 0.017840940752897015, 0.017796073494505904, 0.017726532878671816, 0.017638954683622043, 0.017540646326487028, 0.017438430033681548, 0.017337874057257615, 0.017242972243645092, 0.017156184767944137, 0.017078693258936416, 0.017010734763179092, 0.016951922978770781, 0.016901511168451382, 0.016858584517266576, 0.016822188258136524, 0.01679140524525078, 0.016765397439664986, 0.016743423566553499, 0.016724842166369103, 0.016709106440463927, 0.01669575505879832, 0.016684401487295955, 0.016674723304028811, 0.016666452274691743, 0.016659365530141624, 0.016653277940243984, 0.016648035643331578, 0.016643510624935985, 0.016639596214352695, 0.016636203364995619, 0.016633257593413005, 0.016630696465824265, 0.016628467536462792, 0.016626526656949827, 0.01662483658946393, 0.0166233658682674, 0.016622087864176526, 0.016620980014940421, 0.01662002319141891, 0.016619201175130615, 0.016618500227381629, 0.016617908733963987, 0.016617416912489313, 0.016617016571931088, 0.016616700916000138, 0.016616464383665912, 0.016616302521538159, 0.016616211884004126, 0.01661618995803071, 0.0166162351104365, 0.016616346556259053, 0.016616524347628926, 0.016616769383356458, 0.016617083440285885, 0.016617469228428161, 0.016617930473015546, 0.016618472028014756, 0.01661910002740832, 0.016619822082866845, 0.016620647539517742, 0.016621587805695351, 0.016622656778313157, 0.01662387139354005, 0.016625252343857231, 0.016626825018950329, 0.016628620751786907, 0.016630678486642861, 0.016633047039218501, 0.016635788200912847, 0.016638981067587624, 0.01664272817834675, 0.016647164386035727, 0.016652469946625465, 0.016658890294034751, 0.016666766719794578, 0.016676585432209654, 0.016689058774336057, 0.016705265192927036, 0.016726902082561817, 0.016756768782484197, 0.016799753544806086, 0.016865024325438221, 0.016971423226731806, 0.017162634957389553, 0.017557805165488553, 0.018558138186684215, 0.021636577226767168, 0.024132512870690428, 0.019512899612391783, 0.017754294989408729, 0.017172762024769868, 0.016929331156486302, 0.016808081265633403, 0.016740057536704413, 0.016698530265448722, 0.01667154229924191, 0.016653141561560059, 0.016640111911085914, 0.016630599341835983, 0.016623477714431796, 0.016618032899597159, 0.016613795408639158, 0.016610446986817115, 0.016607766143992699, 0.016605595171772111, 0.016603819508129471, 0.016602354452594625, 0.016601136395079992, 0.016600116893449625, 0.016599258593594322, 0.016598532367666424, 0.01659791527382325, 0.016597389080049024, 0.016596939181713351, 0.016596553798143759, 0.016596223369693477, 0.016595940100764647, 0.016595697610388704, 0.016595490662994834, 0.01659531495963958, 0.016595166975337711, 0.01659504383195172, 0.0165949431988467, 0.016594863215524704, 0.016594802431937436, 0.016594759763294085, 0.016594734457038539, 0.016594726070345813, 0.01659473026056835, 0.016594742866619362, 0.016594763995136035, 0.016594793825481378, 0.016594832612235284, 0.016594880688762262, 0.016594938471939776, 0.016595006468159625, 0.016595085280748129, 0.016595175618989228, 0.016595278308979899, 0.016595394306601931, 0.016595524712959959, 0.016595670792716066, 0.016595833995850878, 0.016596015983503975, 0.016596218658700628, 0.016596444202965327, 0.016596695120067593, 0.01659697428845756, 0.016597285024348395, 0.016597631157918593, 0.016598017125776604, 0.016598448083706547, 0.016598930044867902, 0.016599470050155166, 0.016600076379476338, 0.01660075881548146, 0.016601528975052664, 0.01660240072907064, 0.016603390738211554, 0.016604519142711823, 0.016605810458535895, 0.016607294753286608, 0.016609009205759837, 0.016611000198393299, 0.016613326160236388, 0.016616061482981403, 0.016619301996649394, 0.016623172753427881, 0.016627839295893197, 0.016633524302146974, 0.016640532733682552, 0.016649290801825201, 0.016660408094395469, 0.016674779898549884, 0.016693762125287073, 0.016719483528912414, 0.016755431787685182, 0.016807621070502834, 0.01688708858648668, 0.017015703344772766, 0.017241090622769725, 0.017679249578561474, 0.018642316493306072, 0.02083982819763357, 0.023070195002140796, 0.020814331441774598, 0.018693748137519867, 0.017748182906639109, 0.017307005136482596, 0.017074639118135362, 0.016939123676631349, 0.016853655541796974, 0.016796402581439704, 0.016756192095482472, 0.016726859189617898, 0.016704787142345918, 0.016687744333388595, 0.016674294591186922, 0.016663480199566243, 0.016654642790311446, 0.016647317736752855, 0.016641169547145371, 0.016635951048630093, 0.016631476861490475, 0.01662760572311657, 0.016624228443079269, 0.016621259529265166, 0.016618631260041605, 0.016616289418670452, 0.0166141901777517, 0.016612297792426005, 0.016610582870914364, 0.016609021062903909, 0.016607592054212673, 0.016606278788609107, 0.016605066859951792, 0.016603944033339445, 0.01660289986491344, 0.016601925397773082, 0.016601012917107305, 0.016600155751763209, 0.016599348112503399, 0.016598584959458557, 0.016597861892971699, 0.01659717506330901, 0.016596521095686111, 0.016595897027806748, 0.016595300257689776, 0.016594728500010918, 0.016594179749539969, 0.0165936522505334, 0.016593144471165194, 0.016592655082257282, 0.016592182939715528, 0.016591727070195551, 0.016591286659620161, 0.016590861044252142, 0.016590449704095803, 0.016590052258461326, 0.016589668463579583, 0.016589298212204534, 0.016588941535186516, 0.016588598605045031, 0.016588269741615116, 0.016587955419888872, 0.016587656280224815, 0.01658737314115372, 0.016587107015073387, 0.016586859127197474, 0.01658663093820888, 0.016586424171168967, 0.016586240843353917, 0.01658608330383482, 0.016585954277793313, 0.016585856918779781, 0.016585794870384113, 0.016585866002412422, 0.01658645142469049, 0.016587791563133097, 0.016590266810006912, 0.016594495052522241, 0.016601515193589642, 0.016613152376543937, 0.016632796685127502, 0.016667213488111645, 0.016731250338670196, 0.0168620658857687, 0.017172509042122096, 0.018132812805264513, 0.02341148815005388, 0.093654072735957161, 0.024974202930854329, 0.01922210587264753, 0.017949232116229251, 0.01746402027473138, 0.017225536687288812, 0.017090291023854464, 0.017006746698332159, 0.016952694769157877, 0.016917446494307261, 0.016895649636059301, 0.016884917096185826, 0.016885049736969096, 0.016898323689630852, 0.016931342471098378, 0.017001159784187505, 0.017158189153432368, 0.017607300341539938, 0.020033784079025799, 0.040358597900112606, 0.018009078799212028, 0.016981257091233933, 0.016776699056585992, 0.016708184743818841, 0.016678554535691111, 0.016663555841156325, 0.016655072374548455, 0.016649844371626803, 0.016646387122052138, 0.016643958661639244, 0.016642160551811412, 0.016640766024996402, 0.016639639575894712, 0.016638696740224172, 0.016637882842068154, 0.016637161237487905, 0.01663650655321872, 0.016635900665907706, 0.016635330240652189, 0.01663478518534748, 0.016634257658133526, 0.016633741417237596, 0.016633231387477888, 0.016632723366562515, 0.016632213823155051, 0.01663169975609477, 0.01663117859490458, 0.016630648128479829, 0.016630106453182754, 0.016629551934390235, 0.016628983177412716, 0.01662839900495941, 0.01662779843918296, 0.016627180686929317, 0.016626545127233442, 0.016625891300393571, 0.016625218898165237, 0.016624527754764456, 0.016623817838475351, 0.016623089243732628, 0.016622342183601601, 0.016621576982614527, 0.016620794069945075, 0.016619993972917493, 0.016619177310854102, 0.016618344789267877, 0.016617497194405619, 0.016616635388144514, 0.016615760303239899, 0.016614872938916773, 0.016613974356791864, 0.016613065677107297, 0.016612148075251684, 0.01661122277853963, 0.016610291063216539, 0.016609354251652358, 0.01660841370968532, 0.016607470844074806, 0.016606527100021737, 0.016605583958714486, 0.016604642934858773, 0.016603705574151216, 0.016602773450657832, 0.016601848164061267, 0.016600931336743327, 0.016600024610672604, 0.016599129644071217, 0.016598248107838467, 0.016597381681714207, 0.01659653205016965, 0.016595700898018536, 0.016594889905747305, 0.016594100744568605, 0.01659333507120845, 0.016592594522443428, 0.01659188070941002, 0.016591195211714566, 0.016590539571377537, 0.01658991528665173, 0.016589323805758588, 0.01658876652059189, 0.016588244760441396, 0.016587759785792848, 0.016587312782262723, 0.016586904854727802, 0.016586537021710177, 0.016586210210077793, 0.01658592525011918, 0.016585682871048276, 0.016585483696991817, 0.016585328243506926, 0.016585216914671193, 0.016585150000780809, 0.016585127676685466, 0.016585142560192015, 0.016585187181079215, 0.016585261450541205, 0.016585365220872096, 0.01658549828591863, 0.016585660381707626, 0.016585851187241877, 0.016586070325456687, 0.016586317364327592, 0.01658659181811829, 0.016586893148756599, 0.016587220767324915, 0.016587574035650785, 0.016587952267982049, 0.016588354732730657, 0.016588780654268422, 0.01658922921475766, 0.016589699555999912, 0.016590190781285218, 0.016590701957225541, 0.016591232115555538, 0.016591780254885259, 0.016592345342389514, 0.016592926315420295, 0.016593522083029374, 0.016594131527390053, 0.01659475350510841, 0.01659538684841649, 0.016596030366241809, 0.016596682845150069, 0.016597343050160279, 0.01659800972543455, 0.016598681594847762, 0.016599357362445562, 0.016600035712802826, 0.016600715311298361, 0.016601394804326111, 0.016602072819466799, 0.016602747965649044, 0.016603418833333508, 0.016604083994758333, 0.016604742004289366, 0.016605391398923246, 0.016606030698996486, 0.016606658409158016, 0.016607273019666774, 0.016607873008079355, 0.01660845684139535, 0.016609022978729081, 0.016609569874576863, 0.016610095982746615, 0.016610599761012989, 0.016611079676554594, 0.016611534212220818, 0.016611961873663303, 0.016612361197351766, 0.016612730759474559, 0.016613069185701896, 0.016613375161763897, 0.016613647444766642, 0.016613884875137788, 0.016614086389060725, 0.016614251031221942, 0.016614377967663581, 0.016614466498501866, 0.016614516070244924, 0.016614526287421952, 0.01661449692322127, 0.01661442792882965, 0.016614319441170394, 0.016614171788754743, 0.016613985495389838, 0.016613761281527684, 0.016613500063091965, 0.016613202947681809, 0.016612871228121582, 0.016612506373400664, 0.016612110017123656, 0.016611683943666265, 0.01661123007230041, 0.016610750439613145, 0.016610247180591096, 0.016609722508776664, 0.016609178695920296, 0.01660861805155505, 0.016608042902906375, 0.016607455575521447, 0.016606858374962497, 0.016606253569857923, 0.016605643376548136, 0.016605029945502787, 0.016604415349624414, 0.016603801574494585, 0.016603190510563904, 0.016602583947238465, 0.016601983568774188, 0.016601390951857291, 0.016600807564724044, 0.016600234767655989, 0.016599673814677082, 0.01659912585627598, 0.016598591942979201, 0.016598073029607408, 0.016597569980057757, 0.016597083572467548, 0.016596614504629105, 0.016596163399540703, 0.016595730810993761, 0.016595317229111443, 0.016594923085768178, 0.016594548759832684, 0.016594194582189345, 0.016593860840503471, 0.01659354778370549, 0.01659325562617724, 0.016592984551630535, 0.016592734716673673, 0.016592506254066296, 0.016592299275666449, 0.01659211387507652, 0.016591950129996237, 0.016591808104292376, 0.016591687849795197, 0.016591589407831314, 0.016591512810502862, 0.016591458081721147, 0.016591425238002583, 0.016591414289032661], [0.016045881950428928, 0.016045902158214997, 0.016045962754273602, 0.016046063656870533, 0.01604620473032951, 0.016046385785849399, 0.016046606582640566, 0.01604686682937272, 0.016047166185924538, 0.016047504265423583, 0.016047880636563004, 0.016048294826180119, 0.016048746322080337, 0.01604923457608871, 0.016049759007310194, 0.016050319005578923, 0.016050913935075989, 0.016051543138094808, 0.016052205938932761, 0.016052901647887734, 0.016053629565338266, 0.016054388985886136, 0.016055179202540723, 0.016055999510924852, 0.016056849213482497, 0.01605772762366945, 0.016058634070108685, 0.016059567900693059, 0.016060528486618715, 0.016061515226333332, 0.016062527549383969, 0.01606356492015024, 0.016064626841448642, 0.016065712857994744, 0.016066822559710044, 0.016067955584860644, 0.01606911162301506, 0.01607029041780849, 0.016071491769501168, 0.016072715537318333, 0.01607396164156014, 0.016075230065470382, 0.016076520856854484, 0.016077834129439868, 0.016079170063975516, 0.016080528909073518, 0.016081910981804351, 0.016083316668069454, 0.016084746422792361, 0.016086200769992683, 0.016087680302838778, 0.016089185683816495, 0.016090717645205459, 0.016092276990123989, 0.016093864594492323, 0.016095481410375014, 0.016097128471300924, 0.016098806900328482, 0.016100517921827692, 0.016102262878194662, 0.016104043253001753, 0.016105860702421024, 0.016107717097143339, 0.016109614577451557, 0.016111555624597533, 0.016113543152181935, 0.016115580621851883, 0.016117672188329102, 0.016119822879592047, 0.016122038819011274, 0.016124327497468331, 0.016126698105115415, 0.016129161934672752, 0.016131732871334733, 0.016134427988931825, 0.016137268278646671, 0.016140279546277028, 0.016143493528174908, 0.016146949296628361, 0.016150695055679509, 0.016154790472938656, 0.016159309759351013, 0.01616434580920189, 0.016170015866948217, 0.016176469429727131, 0.016183899483753927, 0.016192558815038949, 0.016202784224888626, 0.016215033390366562, 0.016229942576262476, 0.016248419953733793, 0.016271802230515053, 0.016302129293935722, 0.016342651438713048, 0.016398826666283124, 0.01648043848667393, 0.016606551492657464, 0.016818668191783917, 0.017222190236520652, 0.018153456286150827, 0.021152867531285771, 0.035969158715704809, 0.028170581042133252, 0.018921975634036945, 0.017142001563802838, 0.016584968972884129, 0.016352029012167462, 0.016236452482514794, 0.016172389572734411, 0.016134042091627103, 0.016109765028274988, 0.016093732437450419, 0.016082793018590339, 0.016075134631349641, 0.016069662644478688, 0.016065688606269612, 0.016062764727602853, 0.016060591399728406, 0.016058963304129953, 0.016057736863945914, 0.016056809969590538, 0.016056109009981178, 0.0160555803865398, 0.016055184854926047, 0.016054893697355424, 0.016054686110832647, 0.016054547425690579, 0.016054467910202399, 0.016054442007347226, 0.016054449214652444, 0.016054470960406707, 0.016054507619621506, 0.016054559829127648, 0.01605462850586236, 0.01605471487365049, 0.016054820499757316, 0.016054947343006016, 0.01605509781590226, 0.016055274864046745, 0.01605548206722085, 0.01605572376800837, 0.016056005235821694, 0.016056332876955483, 0.016056714505122499, 0.016057159692319013, 0.016057680227554268, 0.016058290722079944, 0.016059009416012807, 0.016059859265411269, 0.01606086942537498, 0.016062077300861104, 0.016063531424847986, 0.016065295564154515, 0.016067454683480024, 0.01607012378474339, 0.016073461306062159, 0.016077689953301229, 0.016083130030246407, 0.016090254544854507, 0.016099783833351811, 0.016112855375085264, 0.016131344862175847, 0.01615851242047318, 0.016200406401679919, 0.016269216915972544, 0.016392318936454101, 0.01664082394148738, 0.017240061918295104, 0.019085906195220565, 0.024014197713696197, 0.021157981643064223, 0.018016282331598986, 0.01701680358627479, 0.016622939540878311, 0.016432252532674899, 0.016326030796727842, 0.016260796565729544, 0.016217791767360473, 0.016187883286622524, 0.016166197786672741, 0.016149942392029795, 0.016137422433451221, 0.016127560488294789, 0.016119644456471113, 0.016113188021230036, 0.016107849636251396, 0.016103383564992163, 0.016099609247668852, 0.016096391547430575, 0.016093627669229973, 0.016091238291329059, 0.016089161425580745, 0.016087348086473316, 0.016085759184269546, 0.016084363262333694, 0.016083134826775397, 0.016082053098350646, 0.016081101069877538, 0.016080264787810092, 0.0160795328004971, 0.016078895732027809, 0.016078345951962135, 0.01607787731928759, 0.016077484984704921, 0.016077165239528065, 0.016076915402570498, 0.016076733738706734, 0.01607661940457291, 0.016076572418265725, 0.016076593651030507, 0.016076684839884291, 0.016076848620963289, 0.016077088584169716, 0.016077409350464564, 0.016077816673949957, 0.016078317571745319, 0.016078920485623458, 0.016079635480476272, 0.01608047448596971, 0.016081451589272638, 0.016082583388561226, 0.016083889419170414, 0.016085392666855547, 0.016087120185711314, 0.016089103841938384, 0.016091381208905756, 0.016093996643844991, 0.016097002581983814, 0.016100461089802901, 0.016104445724992277, 0.01610904375583961, 0.016114358795871694, 0.016120513908338453, 0.016127655225901528, 0.016135956107837843, 0.016145621811197202, 0.016156894570157228, 0.016170058839675663, 0.016185446238095241, 0.016203439382653579, 0.016224473308850556, 0.016249032456306121, 0.016277640265380259, 0.016310837291952821, 0.016349142568166646, 0.016392992099505194, 0.016442648637379362, 0.016498079400942708, 0.016558804812644178, 0.016623732979649888, 0.016691011629704579, 0.016757948191456373, 0.016821061282195751, 0.016876320098581674, 0.016919590298575385, 0.016947236075459567, 0.016956750082628719, 0.016947236075459549, 0.016919590298575697, 0.016876320098581584, 0.01682106128219571, 0.016757948191456384, 0.016691011629704888, 0.016623732979649832, 0.016558804812644115, 0.01649807940094257, 0.016442648637379279, 0.016392992099505305, 0.016349142568166643, 0.016310837291952863, 0.016277640265380276, 0.016249032456306153, 0.016224473308850542, 0.016203439382653589, 0.016185446238095241, 0.01617005883967566, 0.016156894570157222, 0.016145621811197192, 0.016135956107837839, 0.016127655225901524, 0.016120513908338456, 0.01611435879587169, 0.016109043755839613, 0.016104445724992273, 0.016100461089802905, 0.016097002581983818, 0.016093996643844997, 0.016091381208905752, 0.016089103841938384, 0.016087120185711311, 0.01608539266685555, 0.016083889419170411, 0.016082583388561222, 0.016081451589272631, 0.016080474485969713, 0.016079635480476275, 0.016078920485623455, 0.016078317571745323, 0.016077816673949957, 0.016077409350464561, 0.016077088584169716, 0.016076848620963285, 0.016076684839884291, 0.016076593651030507, 0.016076572418265728, 0.01607661940457291, 0.016076733738706727, 0.016076915402570498, 0.016077165239528065, 0.016077484984704918, 0.01607787731928759, 0.016078345951962131, 0.016078895732027813, 0.0160795328004971, 0.016080264787810085, 0.016081101069877535, 0.016082053098350646, 0.01608313482677539, 0.016084363262333687, 0.016085759184269539, 0.016087348086473312, 0.016089161425580752, 0.016091238291329062, 0.016093627669229976, 0.016096391547430585, 0.016099609247668845, 0.01610338356499217, 0.016107849636251406, 0.016113188021230039, 0.016119644456471106, 0.0161275604882948, 0.016137422433451221, 0.016149942392029798, 0.016166197786672772, 0.016187883286622528, 0.016217791767360455, 0.016260796565729523, 0.016326030796727935, 0.016432252532674621, 0.016622939540878238, 0.017016803586274221, 0.018016282331598778, 0.02115798164307146, 0.024014197713695236, 0.019085906195216485, 0.017240061918296364, 0.016640823941487314, 0.016392318936454459, 0.01626921691597278, 0.016200406401679957, 0.016158512420473208, 0.016131344862175843, 0.01611285537508526, 0.016099783833351825, 0.016090254544854504, 0.016083130030246407, 0.016077689953301225, 0.016073461306062159, 0.016070123784743397, 0.016067454683480024, 0.016065295564154512, 0.016063531424847982, 0.016062077300861104, 0.01606086942537498, 0.016059859265411269, 0.016059009416012803, 0.016058290722079947, 0.016057680227554265, 0.016057159692319013, 0.016056714505122499, 0.016056332876955483, 0.016056005235821694, 0.01605572376800837, 0.016055482067220846, 0.016055274864046749, 0.016055097815902256, 0.016054947343006012, 0.016054820499757313, 0.016054714873650486, 0.01605462850586236, 0.016054559829127648, 0.016054507619621506, 0.016054470960406714, 0.01605444921465244, 0.016054442007347226, 0.01605444560835784, 0.016054456441426196, 0.016054474597057066, 0.016054500227417761, 0.016054533548357716, 0.016054574842298053, 0.016054624462055696, 0.016054682835688922, 0.016054750472476023, 0.016054827970168346, 0.016054916023692644, 0.016055015435518783, 0.01605512712795756, 0.01605525215771297, 0.01605539173308608, 0.016055547234317166, 0.016055720237664283, 0.016055912543955057, 0.016056126212523204, 0.01605636360166119, 0.016056627417000688, 0.016056920769590585, 0.016057247245902705, 0.016057610992592716, 0.016058016819622142, 0.016058470326370391, 0.016058978056720734, 0.016059547690911564, 0.01606018828437843, 0.016060910567117729, 0.016061727321636039, 0.01606265386382906, 0.016063708659929569, 0.01606491412512516, 0.016066297667324998, 0.016067893065548233, 0.016069742310749303, 0.016071898094340127, 0.016074427217198449, 0.01607741532779066, 0.016080973613114759, 0.016085248414260549, 0.016090435315521547, 0.016096800238771705, 0.016104711798721683, 0.016114692300458169, 0.016127500643461072, 0.016144271944402652, 0.01616676247556716, 0.016197800278115477, 0.016242161866992427, 0.016308395266601945, 0.016412925270665343, 0.016590221023528067, 0.01692088018627514, 0.017617129241903697, 0.019254664630528846, 0.022231815403066076, 0.021626830136856009, 0.018849971546675566, 0.017503103821137549, 0.016907747645786887, 0.016610506566689224, 0.016444089276462806, 0.016342296600933334, 0.016275685527010045, 0.016229751820504151, 0.01619673175054203, 0.016172180941479524, 0.016153411670230374, 0.01613872294250706, 0.016126996348415159, 0.016117472269185567, 0.016109620174715199, 0.016103060445670638, 0.016097515618533141, 0.016092779058515881, 0.016088694292939989, 0.016085141054059893, 0.016082025653380072, 0.016079274216799787, 0.016076827848521328, 0.016074639119799047, 0.016072669483284851, 0.016070887344156473, 0.016069266603972867, 0.01606778554927682, 0.016066425994681631, 0.016065172615937855, 0.016064012426318629, 0.016062934362183763, 0.016061928952479751, 0.0160609880533258, 0.016060104633479629, 0.016059272599883996, 0.016058486655017974, 0.016057742179663336, 0.016057035136116955, 0.01605636198796051, 0.016055719633325253, 0.016055105349227342, 0.016054516745044909, 0.016053951723595798, 0.016053408448580362, 0.016052885317396907, 0.016052380938531213, 0.01605189411287869, 0.016051423818485497, 0.016050969198300197, 0.016050529550615717, 0.016050104321955909, 0.016049693102225673, 0.016049295622000963, 0.016048911751886812, 0.016048541503920696, 0.016048185035045803, 0.01604784265272638, 0.016047514822826934, 0.016047202179929908, 0.016046905540324757, 0.016046625917967121, 0.016046364543782145, 0.016046122888774102, 0.01604590269150856, 0.016045705990657425, 0.01604553516344695, 0.016045392971030487, 0.016045282612029171, 0.016045182494488677, 0.016045541856020092, 0.016046572044765114, 0.016048605877677282, 0.016052179972946775, 0.016058187477763643, 0.016068176688525032, 0.016084973842938003, 0.016114090806423762, 0.016167251920869694, 0.016272525397723281, 0.016509578062734721, 0.017173999242008912, 0.020061785002577912, 0.059223240740368818, 0.031336932824370202, 0.019620422868749141, 0.017712083575926997, 0.017066549864898636, 0.016768395401991067, 0.016605589822068209, 0.016507550566755184, 0.016445303510605858, 0.016405361420075457, 0.016381133852695958, 0.016369752688702485, 0.016371061199604766, 0.016388016164768558, 0.01642922705842555, 0.016517668919348409, 0.016725629653931331, 0.017384801966563918, 0.022247279973381197, 0.02585212503074006, 0.017026394185466431, 0.01637077009209302, 0.016215792011161918, 0.016159953260930067, 0.016134828186460594, 0.016121792919237123, 0.016114295384540879, 0.016109617911104497, 0.016106495009813804, 0.016104284175041929, 0.016102636315720037, 0.016101350969202437, 0.016100307499101289, 0.016099430263951005, 0.016098670039052711, 0.016097993663807625, 0.01609737805362366, 0.016096806623380599, 0.016096267090843348, 0.016095750094252435, 0.016095248303407195, 0.016094755837090084, 0.016094267874724146, 0.016093780393513123, 0.016093289987995807, 0.016092793744507602, 0.01609228915266897, 0.016091774042090716, 0.016091246536384104, 0.016090705019108146, 0.01609014810797554, 0.016089574634775474, 0.016088983629248883, 0.016088374305689247, 0.016087746051418429, 0.016087098416552863, 0.01608643110466438, 0.016085743964074407, 0.016085036979616222, 0.016084310264766893, 0.016083564054097225, 0.016082798696019265, 0.016082014645830242, 0.016081212459063309, 0.01608039278516012, 0.016079556361481073, 0.016078704007665801, 0.016077836620352465, 0.01607695516825763, 0.016076060687612439, 0.016075154277943701, 0.016074237098182034, 0.016073310363073325, 0.016072375339864158, 0.016071433345227433, 0.016070485742390651, 0.016069533938426465, 0.016068579381663037, 0.016067623559170827, 0.016066667994281691, 0.016065714244097057, 0.016064763896942669, 0.016063818569729337, 0.016062879905181598, 0.016061949568898917, 0.016061029246217769, 0.016060120638846796, 0.016059225461251617, 0.016058345436770798, 0.016057482293449599, 0.016056637759583669, 0.016055813558970618, 0.016055011405873468, 0.016054232999706111, 0.016053480019457219, 0.016052754117875129, 0.016052056915442696, 0.016051389994176803, 0.016050754891293102, 0.016050153092781655, 0.016049586026944205, 0.016049055057947546, 0.01604856147945128, 0.016048106508370467, 0.016047691278835447, 0.016047316836411828, 0.01604698413264289, 0.016046694019975435, 0.016046447247127227, 0.016046244454950537, 0.016046086172841374, 0.016045972815738361, 0.016045904681748401, 0.016045881950428928, 0.016045897105439046, 0.016045942540037651, 0.016046018163023763, 0.01604612382270906, 0.016046259307384549, 0.016046424345967328, 0.0160466186088211, 0.01604684170874212, 0.01604709320210088, 0.016047372590128284, 0.016047679320333488, 0.016048012788039724, 0.016048372338022858, 0.016048757266237095, 0.016049166821610939, 0.016049600207896475, 0.016050056585554296, 0.016050535073656624, 0.01605103475179076, 0.016051554661945869, 0.01605209381036583, 0.016052651169352325, 0.016053225679002546, 0.016053816248867488, 0.01605442175951776, 0.016055041064005602, 0.016055672989213319, 0.016056316337080535, 0.016056969885704608, 0.016057632390311147, 0.016058302584094169, 0.016058979178928283, 0.016059660865958583, 0.01606034631607723, 0.01606103418029942, 0.01606172309005546, 0.016062411657419725, 0.016063098475301962, 0.016063782117630782, 0.01606446113956438, 0.016065134077768096, 0.016065799450804101, 0.016066455759682845, 0.016067101488631351, 0.016067735106137709, 0.016068355066335551, 0.016068959810795386, 0.016069547770792624, 0.01607011737012308, 0.016070667028536739, 0.016071195165858594, 0.016071700206860832, 0.016072180586944061, 0.01607263475867551, 0.016073061199219078, 0.016073458418675815, 0.016073824969333506, 0.016074159455800277, 0.016074460545970348, 0.016074726982739672, 0.016074957596356833, 0.016075151317259843, 0.016075307189214828, 0.016075424382538187, 0.016075502207151829, 0.016075540125193327, 0.016075537762880725, 0.016075494921317705, 0.016075411585919994, 0.016075287934150372, 0.016075124341268201, 0.016074921383830258, 0.016074679840723766, 0.01607440069156783, 0.016074085112385152, 0.016073734468519684, 0.016073350304854017, 0.016072934333460499, 0.016072488418897444, 0.016072014561433236, 0.016071514878543195, 0.016070991585072879, 0.016070446972495708, 0.016069883387710357, 0.016069303211823746, 0.016068708839349702, 0.01606810265822212, 0.01606748703097791, 0.016066864277410921, 0.01606623665893752, 0.016065606364850289, 0.016064975500571562, 0.016064346077956402, 0.016063720007637419, 0.016063099093353024, 0.016062485028158102, 0.016061879392382152, 0.016061283653174396, 0.016060699165458707, 0.016060127174111885, 0.016059568817176753, 0.016059025129924954, 0.016058497049592505, 0.016057985420623092, 0.016057491000268029, 0.016057014464407819, 0.016056556413476759, 0.016056117378388426, 0.016055697826376284, 0.016055298166678673, 0.016054918756011803, 0.016054559903786764, 0.016054221877038404, 0.016053904905043454, 0.016053609183613714, 0.016053334879057534, 0.016053082131808095, 0.016052851059722022, 0.016052641761054968, 0.016052454317123665, 0.016052288794665314, 0.016052145247906293, 0.016052023720352429, 0.016051924246312594, 0.016051846852166991, 0.016051791557390078, 0.01605175837533674, 0.016051747313798794], [0.015510112493273389, 0.0155101330605794, 0.015510194734498344, 0.015510297431203066, 0.015510441011547329, 0.01551062528191033, 0.015510849995370814, 0.015511114853202806, 0.015511419506682868, 0.015511763559196565, 0.0155121465686303, 0.015512568050032646, 0.015513027478527966, 0.015513524292463788, 0.01551405789677213, 0.015514627666524247, 0.015515232950657319, 0.015515873075851488, 0.015516547350534846, 0.015517255068994403, 0.015517995515570825, 0.015518767968915178, 0.015519571706286272, 0.01552040600786782, 0.01552127016108531, 0.015522163464903233, 0.015523085234084213, 0.015524034803392435, 0.015525011531724678, 0.015526014806153199, 0.015527044045865419, 0.015528098705986409, 0.015529178281270678, 0.015530282309650516, 0.015531410375628661, 0.015532562113503666, 0.015533737210416542, 0.015534935409207926, 0.015536156511075391, 0.015537400378021225, 0.015538666935081939, 0.015539956172332409, 0.015541268146659867, 0.015542602983306291, 0.015543960877183249, 0.01554534209397046, 0.015546746971019956, 0.015548175918102401, 0.01554962941805196, 0.015551108027393026, 0.015552612377067556, 0.01555414317342821, 0.015555701199722863, 0.015557287318372651, 0.015558902474443106, 0.015560547700829529, 0.015562224125827603, 0.015563932983944278, 0.015565675631025304, 0.015567453565040777, 0.015569268454182111, 0.015571122174288361, 0.015573016858039589, 0.015574954958835274, 0.01557693933282076, 0.015578973343142528, 0.015581060991217409, 0.015583207080615351, 0.015585417420123478, 0.015587699073750979, 0.015590060666966133, 0.015592512760506922, 0.015595068305946584, 0.015597743201225932, 0.015600556970168803, 0.015603533598420601, 0.015606702570518155, 0.015610100170707571, 0.015613771136352752, 0.01561777079139918, 0.015622167844738152, 0.015627048124634828, 0.015632519652319959, 0.015638719663422347, 0.01564582451340539, 0.015654063937973514, 0.015663742037149948, 0.015675268905348601, 0.015689209611357266, 0.015706362406258573, 0.015727888089184617, 0.015755532990044892, 0.015792032471981614, 0.015841884936734107, 0.015912946060782123, 0.016020017667370132, 0.016193904618907566, 0.016508038502639009, 0.017175460415414501, 0.019035551554475689, 0.027339537856874742, 0.038043120855364432, 0.020175379493098805, 0.017031913270335583, 0.016200596350954936, 0.015883647140090801, 0.015735005031387639, 0.015655656981207515, 0.015609416554432669, 0.015580723278569499, 0.015562066132272326, 0.015549492623037446, 0.015540778927934616, 0.015534605308481837, 0.015530153789200547, 0.015526898808337887, 0.015524492327338799, 0.015522697895433415, 0.0155213513414267, 0.015520336560533995, 0.015519570172004366, 0.015518991557422824, 0.015518556256421049, 0.015518231512252675, 0.015517993228171188, 0.015517823872662938, 0.015517711040190845, 0.015517646479699602, 0.015517625471526509, 0.015517631650375676, 0.015517650292339813, 0.015517681716537425, 0.015517726464520411, 0.015517785315253517, 0.015517859307011533, 0.015517949767193881, 0.015518058351454693, 0.015518187094044178, 0.015518338471894577, 0.015518515485816595, 0.01551872176327661, 0.015518961688710036, 0.015519240569347189, 0.015519564847310487, 0.015519942372617234, 0.015520382757183888, 0.015520897837720517, 0.01552150228666864, 0.015522214426847581, 0.015523057330041954, 0.015524060316912358, 0.01552526103277882, 0.015526708363495269, 0.015528466599251382, 0.015530621489510128, 0.01553328922795133, 0.015536630090422981, 0.015540869669687376, 0.015546332907766422, 0.015553500470628864, 0.015563105763608694, 0.015576309487130046, 0.015595030686782686, 0.015622615568893921, 0.015665297238863864, 0.01573570430901379, 0.015862401286056239, 0.016120374103818107, 0.016751207220978354, 0.018740673729887986, 0.023989423160252151, 0.020556737472295878, 0.017441576957683256, 0.016466784045899078, 0.016081221392689127, 0.015893701499591441, 0.015788852804780117, 0.015724269779038097, 0.015681591587503336, 0.015651851028343912, 0.015630250906112423, 0.015614035966634405, 0.015601531244972532, 0.01559167012662864, 0.015583746660325696, 0.015577278128116266, 0.015571925135209785, 0.015567443250164067, 0.015563652710988345, 0.015560418868582943, 0.015557639223376038, 0.015555234628723972, 0.015553143195939902, 0.015551315991660337, 0.015549713949177776, 0.015548305617612744, 0.015547065499371016, 0.015545972807271139, 0.015545010525516796, 0.01554416469374845, 0.015543423857087428, 0.015542778641331178, 0.015542221423770378, 0.015541746078088937, 0.015541347777531623, 0.015541022844684388, 0.0155407686392819, 0.015540583477762368, 0.015540466580055855, 0.015540418040479382, 0.01554043882073604, 0.015540530763960119, 0.015540696629581024, 0.015540940149546491, 0.015541266107191287, 0.015541680440798431, 0.015542190374708047, 0.015542804581716318, 0.015543533381504814, 0.01554438898097963, 0.015545385763712609, 0.0155465406371931, 0.015547873448345623, 0.01554940747976449, 0.015551170041362743, 0.015553193174601009, 0.015555514489072038, 0.015558178153803273, 0.015561236067901055, 0.015564749236580619, 0.015568789378362993, 0.015573440785935424, 0.015578802454800651, 0.015584990477261739, 0.015592140669904555, 0.015600411353948825, 0.015609986130465183, 0.015621076374289155, 0.015633922996232223, 0.01564879677566933, 0.015665996229025411, 0.015685841547568028, 0.015708662627781065, 0.01573477869618236, 0.015764466650900394, 0.015797915289546407, 0.015835163519366136, 0.015876023054721137, 0.015919990608678904, 0.015966161432080392, 0.016013164515130313, 0.016059147408547976, 0.016101841011429831, 0.016138726389295199, 0.01616730327104593, 0.016185426021097384, 0.016191638961805501, 0.016185426021097373, 0.016167303271046145, 0.01613872638929514, 0.0161018410114298, 0.016059147408547976, 0.016013164515130521, 0.015966161432080354, 0.015919990608678859, 0.015876023054721029, 0.015835163519366074, 0.01579791528954648, 0.015764466650900387, 0.015734778696182391, 0.015708662627781086, 0.015685841547568052, 0.015665996229025404, 0.015648796775669337, 0.015633922996232216, 0.015621076374289144, 0.01560998613046518, 0.015600411353948811, 0.015592140669904551, 0.015584990477261735, 0.015578802454800655, 0.01557344078593542, 0.015568789378362995, 0.015564749236580617, 0.015561236067901052, 0.015558178153803278, 0.015555514489072039, 0.015553193174601009, 0.015551170041362743, 0.015549407479764486, 0.01554787344834562, 0.015546540637193101, 0.015545385763712602, 0.015544388980979628, 0.015543533381504814, 0.015542804581716321, 0.015542190374708047, 0.015541680440798435, 0.015541266107191287, 0.015540940149546489, 0.015540696629581022, 0.015540530763960119, 0.015540438820736045, 0.015540418040479381, 0.015540466580055853, 0.015540583477762368, 0.015540768639281893, 0.015541022844684392, 0.015541347777531619, 0.015541746078088932, 0.015542221423770382, 0.015542778641331172, 0.015543423857087424, 0.015544164693748447, 0.015545010525516793, 0.015545972807271137, 0.015547065499371012, 0.015548305617612734, 0.015549713949177776, 0.015551315991660333, 0.015553143195939895, 0.015555234628723977, 0.015557639223376036, 0.015560418868582945, 0.015563652710988354, 0.015567443250164058, 0.015571925135209793, 0.015577278128116274, 0.015583746660325701, 0.015591670126628635, 0.015601531244972542, 0.015614035966634396, 0.015630250906112423, 0.015651851028343947, 0.015681591587503343, 0.015724269779038073, 0.015788852804780092, 0.015893701499591562, 0.016081221392688645, 0.016466784045898946, 0.017441576957681712, 0.020556737472295299, 0.023989423160248036, 0.0187406737298868, 0.016751207220977019, 0.016120374103818638, 0.015862401286056191, 0.015735704309013988, 0.015665297238864007, 0.015622615568893944, 0.015595030686782705, 0.015576309487130041, 0.015563105763608691, 0.015553500470628867, 0.015546332907766419, 0.015540869669687379, 0.015536630090422979, 0.015533289227951332, 0.01553062148951013, 0.015528466599251382, 0.015526708363495269, 0.015525261032778816, 0.015524060316912355, 0.01552305733004195, 0.015522214426847579, 0.015521502286668635, 0.015520897837720515, 0.015520382757183884, 0.015519942372617232, 0.015519564847310487, 0.015519240569347191, 0.015518961688710033, 0.01551872176327661, 0.015518515485816597, 0.015518338471894572, 0.015518187094044174, 0.015518058351454691, 0.015517949767193881, 0.015517859307011533, 0.015517785315253517, 0.015517726464520411, 0.01551768171653742, 0.015517650292339815, 0.015517631650375679, 0.015517625471526509, 0.015517628558706961, 0.015517637845880059, 0.015517653410264308, 0.015517675381641545, 0.015517703944007307, 0.015517739337929916, 0.015517781863668598, 0.015517831885118316, 0.015517889834667993, 0.015517956219081582, 0.015518031626536994, 0.015518116734989047, 0.01551821232205936, 0.01551831927670058, 0.015518438612936504, 0.015518571486045827, 0.015518719211639036, 0.015518883288179042, 0.015519065423622481, 0.015519267567016765, 0.015519491946087725, 0.015519741112105849, 0.015520017993642244, 0.015520325961240637, 0.015520668905568082, 0.015521051332305007, 0.015521478477950367, 0.015521956451925062, 0.015522492411964788, 0.01552309478194998, 0.015523773524241074, 0.015524540482577365, 0.015525409817105491, 0.0155263985607858, 0.015527527337263241, 0.015528821295767301, 0.015530311340998049, 0.015532035768810589, 0.015534042467450788, 0.015536391918202507, 0.015539161343536639, 0.01554245053037972, 0.015546390144325357, 0.015551153824207433, 0.015556976144994787, 0.015564179922426308, 0.01557321881438916, 0.015584745780750637, 0.015599726867419455, 0.015619637799382633, 0.015646819302260903, 0.015685154188690945, 0.015741441147205364, 0.015828399772602277, 0.015971866279726164, 0.016229973295792146, 0.016750454183371347, 0.01794854455708586, 0.020678264803377529, 0.022230524216548267, 0.01923817190361431, 0.017348430278100981, 0.016542869629044457, 0.016162167112212782, 0.015957996565296215, 0.015837046525960581, 0.015759789735718861, 0.015707502293957201, 0.01567046788967277, 0.015643260797435849, 0.015622665440372786, 0.015606680455045464, 0.015594008235831241, 0.015583777877144222, 0.015575387309678093, 0.015568409528719691, 0.015562534850883717, 0.01555753422098265, 0.015553235241105209, 0.015549506121995207, 0.015546244700654674, 0.015543370775732921, 0.015540820662695642, 0.015538543263191193, 0.015536497185651961, 0.015534648607540513, 0.015532969668587958, 0.015531437249390385, 0.015530032033191497, 0.015528737778194005, 0.015527540748077644, 0.015526429262603988, 0.015525393340232695, 0.015524424411860586, 0.015523515089995233, 0.015522658981474884, 0.015521850534652281, 0.015521084914048945, 0.015520357897056365, 0.015519665788449781, 0.015519005349388021, 0.015518373738271406, 0.015517768461370976, 0.015517187331564833, 0.015516628433849754, 0.015516090096559486, 0.015515570867431081, 0.015515069493830223, 0.015514584906583844, 0.015514116206981529, 0.015513662656601422, 0.015513223669696055, 0.015512798807942166, 0.015512387777419373, 0.015511990427737486, 0.015511606753283478, 0.015511236896609234, 0.015510881154030392, 0.015510539983558513, 0.015510214015343436, 0.015509904064863316, 0.015509611149167681, 0.015509336506556812, 0.015509081620171788, 0.015508848246076887, 0.015508638446544246, 0.015508454629405564, 0.015508299594522615, 0.01550804228641527, 0.015508196170161805, 0.01550894715099814, 0.015510586866488447, 0.015513582427029184, 0.015518704050272565, 0.01552727048526463, 0.015541650339147764, 0.015566365803189521, 0.015610764861271465, 0.015696349488762459, 0.015880629305717257, 0.01635715552194171, 0.018096101527565991, 0.032819624919286729, 0.049400852803450745, 0.020662858260965138, 0.017600824582203321, 0.016713628885932523, 0.016333492470278231, 0.016134836211030474, 0.016018598946820096, 0.015946315251653843, 0.015900736391888496, 0.015873657251898828, 0.015861599841172646, 0.015864481062922674, 0.015886182750836766, 0.015938092806120449, 0.016051789566013941, 0.01633419874467941, 0.017355707845820443, 0.028936935667114583, 0.020055483479653777, 0.016225014488056945, 0.015782399760671775, 0.015662563979904905, 0.015616603862990922, 0.015595180168777844, 0.015583812189322437, 0.015577170629658927, 0.015572978641619164, 0.015570154004350658, 0.015568139058123862, 0.015566627452966492, 0.015565441774062428, 0.015564474527746563, 0.015563657922534843, 0.015562947606819765, 0.015562313543505285, 0.015561734703390191, 0.015561195882794738, 0.015560685743332863, 0.015560195575876625, 0.015559718504953444, 0.015559248967240452, 0.015558782364153756, 0.015558314827022985, 0.015557843056225538, 0.015557364209563645, 0.015556875823793956, 0.01555637575867151, 0.015555862156377271, 0.01555533341149264, 0.015554788148208961, 0.015554225202488666, 0.015553643607598547, 0.015553042581923228, 0.01555242151830882, 0.015551779974428161, 0.015551117663830652, 0.015550434447461679, 0.015549730325522929, 0.015549005429605089, 0.01554826001506536, 0.015547494453649228, 0.015546709226371561, 0.015545904916680781, 0.015545082203932, 0.015544241857193459, 0.015543384729406078, 0.015542511751909556, 0.015541623929340956, 0.015540722334904264, 0.015539808106001012, 0.015538882440205407, 0.015537946591559935, 0.015537001867162038, 0.015536049624007061, 0.015535091266048569, 0.015534128241434296, 0.015533162039873281, 0.015532194190088989, 0.015531226257312295, 0.015530259840768968, 0.015529296571117155, 0.015528338107792198, 0.015527386136218829, 0.015526442364853442, 0.015525508522023019, 0.015524586352531367, 0.015523677614007712, 0.015522784072977967, 0.015521907500644101, 0.01552104966836303, 0.0155202123428222, 0.015519397280915481, 0.015518606224329348, 0.015517840893855817, 0.015517102983455038, 0.015516394154097139, 0.01551571602741878, 0.015515070179236222, 0.015514458132961826, 0.015513881352976355, 0.015513341238013283, 0.015512839114615424, 0.015512376230726386, 0.015511953749481557, 0.01551157274326362, 0.01551123418808744, 0.01551093895837752, 0.015510687822198378, 0.015510481436994513, 0.015510320345891497, 0.015510204974603847, 0.015510135628988274, 0.015510112493273389, 0.015510127917901032, 0.015510174160558107, 0.015510251127664246, 0.015510358663574827, 0.015510496551061575, 0.015510664511978665, 0.015510862208107606, 0.015511089242172522, 0.015511345159015645, 0.015511629446921428, 0.015511941539076162, 0.01551228081514869, 0.015512646602976844, 0.015513038180343143, 0.015513454776822599, 0.015513895575685038, 0.015514359715833762, 0.015514846293762517, 0.015515354365512548, 0.015515882948611941, 0.015516431023979937, 0.015516997537779525, 0.015517581403202663, 0.015518181502173534, 0.015518796686956566, 0.015519425781657709, 0.015520067583608955, 0.015520720864628539, 0.015521384372151004, 0.015522056830224435, 0.015522736940374248, 0.015523423382336563, 0.015524114814667003, 0.015524809875234521, 0.01552550718161365, 0.015526205331392508, 0.015526902902418479, 0.015527598453007867, 0.015528290522150687, 0.015528977629746955, 0.015529658276915628, 0.015530330946422959, 0.015530994103281903, 0.015531646195579334, 0.015532285655592662, 0.015532910901261441, 0.015533520338083227, 0.015534112361505417, 0.015534685359886091, 0.015535237718096456, 0.015535767821835406, 0.01553627406272198, 0.015536754844224249, 0.015537208588473151, 0.015537633743995789, 0.015538028794385867, 0.015538392267907895, 0.015538722748007132, 0.015539018884669128, 0.015539279406541252, 0.015539503133694718, 0.015539688990869835, 0.015539836021011045, 0.015539943398862941, 0.015540010444365515, 0.015540036635558431, 0.015540021620681761, 0.015539965229146732, 0.015539867481045808, 0.015539728594879194, 0.015539548993194922, 0.015539329305873192, 0.015539070370832197, 0.01553877323199134, 0.015538439134397005, 0.015538069516493251, 0.015537665999601874, 0.015537230374759608, 0.015536764587140872, 0.015536270718368243, 0.015535750967076691, 0.015535207628147338, 0.015534643071060832, 0.015534059717837015, 0.015533460021026454, 0.015532846442201051, 0.015532221431356819, 0.015531587407594753, 0.015530946741388038, 0.015530301738679407, 0.015529654626984633, 0.01552900754360992, 0.015528362526025899, 0.015527721504381068, 0.015527086296085013, 0.015526458602347512, 0.015525840006525059, 0.015525231974100499, 0.01552463585410515, 0.015524052881784017, 0.015523484182303733, 0.015522930775307442, 0.015522393580130547, 0.015521873421504503, 0.015521371035591428, 0.015520887076209789, 0.015520422121129173, 0.015519976678330114, 0.015519551192142107, 0.015519146049189414, 0.015518761584088969, 0.015518398084858201, 0.015518055798002648, 0.01551773493326325, 0.015517435668012046, 0.015517158151292367, 0.01551690250750503, 0.015516668839747106, 0.015516457232812839, 0.015516267755868974, 0.015516100464817936, 0.015515955404363365, 0.015515832609792302, 0.015515732108487871, 0.015515653921185427, 0.015515598062983539, 0.015515564544119755, 0.015515553370518896], [0.014971115122130795, 0.014971135959762785, 0.014971198444125844, 0.014971302489796149, 0.014971447954982257, 0.014971634642393244, 0.014971862300445664, 0.014972130624800857, 0.014972439260222074, 0.014972787802738854, 0.014973175802103902, 0.014973602764526214, 0.014974068155662497, 0.014974571403847567, 0.014975111903543345, 0.014975689018985, 0.014976302088002163, 0.014976950425992779, 0.014977633330026595, 0.014978350083055602, 0.014979099958208548, 0.01497988222314731, 0.014980696144463167, 0.01498154099209179, 0.014982416043726503, 0.01498332058921027, 0.014984253934887778, 0.014985215407900061, 0.014986204360404983, 0.014987220173708181, 0.014988262262289654, 0.014989330077712679, 0.014990423112402148, 0.014991540903280512, 0.01499268303525029, 0.014993849144512747, 0.014995038921713166, 0.014996252114903869, 0.014997488532317053, 0.014998748044940747, 0.01500003058889266, 0.015001336167589094, 0.015002664853709186, 0.015004016790959409, 0.015005392195649713, 0.01500679135810179, 0.015008214643922321, 0.015009662495191204, 0.015011135431637405, 0.015012634051905539, 0.015014159035055962, 0.015015711142492784, 0.015017291220580724, 0.015018900204295986, 0.015020539122362724, 0.015022209104459075, 0.015023911391239859, 0.015025647348122692, 0.015027418484024438, 0.015029226476522691, 0.015031073205256472, 0.015032960795778068, 0.015034891676528623, 0.015036868652141447, 0.015038894996885446, 0.015040974572761606, 0.015043111977576622, 0.015045312729275055, 0.01504758349397289, 0.015049932366592326, 0.015052369214899143, 0.015054906100313121, 0.015057557792438198, 0.015060342399339961, 0.015063282142913048, 0.015066404319291829, 0.015069742499721492, 0.015073338049933943, 0.015077242079356526, 0.015081517980819109, 0.015086244795357971, 0.015091521749100049, 0.015097474483081904, 0.015104263771487329, 0.015112097967914994, 0.015121251156703423, 0.015132090247079887, 0.015145116474677011, 0.015161030854191205, 0.015180840915004056, 0.015206041641277587, 0.015238936505722906, 0.015283238852010363, 0.015345275078554464, 0.015436596073458464, 0.015580263058608041, 0.015828183986120823, 0.016318789949680668, 0.017529576251301103, 0.021958694942235599, 0.042474977061835791, 0.02347599402576209, 0.017218686824057791, 0.015888939494372038, 0.015439029952543504, 0.015242186240514436, 0.015141707060212842, 0.015084942560067668, 0.015050509036363589, 0.01502850182935276, 0.015013869061072969, 0.015003836988518895, 0.014996791543098504, 0.014991748311339063, 0.014988083219846718, 0.014985387629016895, 0.014983386547472425, 0.014981890563711096, 0.014980766596611598, 0.014979919555299764, 0.014979280536352078, 0.014978799055159215, 0.014978437833414307, 0.01497816924613234, 0.014977972871479839, 0.014977833790969043, 0.014977741413686229, 0.014977688678292545, 0.014977671539067209, 0.01497767686232925, 0.014977692922522674, 0.014977719993245266, 0.01497775853851269, 0.01497780922514369, 0.014977872940834549, 0.014977950818714218, 0.014978044269482941, 0.014978155022623998, 0.014978285178669355, 0.014978437275136446, 0.014978614369591227, 0.014978820144409179, 0.014979059039312294, 0.014979336419815418, 0.014979658792549127, 0.014980034082379563, 0.014980471991823435, 0.014980984471223943, 0.014981586339683699, 0.014982296113671311, 0.014983137125424054, 0.014984139051431609, 0.014985340030092201, 0.014986789640006774, 0.014988553158564479, 0.014990717763758966, 0.0149934017519304, 0.014996768554151364, 0.015001048604011484, 0.01500657446402197, 0.015013839163435733, 0.01502359689312734, 0.015037044819712493, 0.015056169352632433, 0.015084449295453495, 0.015128400393667691, 0.015201318655406821, 0.015333572906522118, 0.015606015339881639, 0.016284789870419446, 0.018487949073814784, 0.024024543549486795, 0.019832241574037412, 0.016832646019776021, 0.015902687392525823, 0.01553135035747666, 0.015349279449874357, 0.015246859295132625, 0.01518348236812877, 0.015141451205153738, 0.015112077348099972, 0.015090693108313685, 0.015074608337923942, 0.015062182931095252, 0.015052369917362005, 0.015044474891505658, 0.015038022163867324, 0.015032676745454087, 0.015028197036020607, 0.015024405131631334, 0.015021167624722069, 0.015018382858290866, 0.015015972265391113, 0.015013874361218588, 0.015012040497300285, 0.015010431810599632, 0.015009016998228781, 0.015007770672457796, 0.015006672130100115, 0.015005704422190836, 0.01500485364433664, 0.015004108391414939, 0.015003459336298671, 0.015002898903433452, 0.01500242101597586, 0.0150020209008528, 0.015001694940211101, 0.015001440560761359, 0.015001256154798876, 0.01500114102843072, 0.015001095373907904, 0.015001120264068879, 0.01500121766782736, 0.015001390486447193, 0.015001642611086075, 0.015001979002799263, 0.015002405796903246, 0.01500293043433718, 0.015003561823448754, 0.015004310536491943, 0.015005189046073647, 0.015006212007834677, 0.015007396596801044, 0.015008762906082038, 0.015010334417887142, 0.015012138558116103, 0.0150142073469186, 0.015016578158414886, 0.015019294602880253, 0.015022407543604729, 0.015025976257554205, 0.015030069742707187, 0.015034768163814535, 0.015040164409897609, 0.015046365707694683, 0.015053495190964026, 0.015061693260246265, 0.015071118474390945, 0.015081947586321743, 0.015094374164711915, 0.015108605028541671, 0.015124853471720054, 0.015143327999737659, 0.015164215104824347, 0.015187654588785409, 0.015213706290588684, 0.015242308043267981, 0.015273226551205077, 0.015306005832160529, 0.015339921789297351, 0.015373955650755519, 0.015406801892212111, 0.015436925560103608, 0.015462677366303258, 0.015482461736029081, 0.015494935492000213, 0.015499199034845276, 0.015494935492000208, 0.015482461736029237, 0.015462677366303221, 0.015436925560103594, 0.015406801892212116, 0.01537395565075567, 0.015339921789297314, 0.015306005832160498, 0.015273226551204997, 0.015242308043267925, 0.015213706290588744, 0.015187654588785402, 0.015164215104824373, 0.015143327999737671, 0.015124853471720073, 0.015108605028541661, 0.015094374164711924, 0.015081947586321741, 0.015071118474390938, 0.015061693260246261, 0.015053495190964021, 0.015046365707694681, 0.015040164409897604, 0.015034768163814542, 0.015030069742707189, 0.015025976257554204, 0.015022407543604724, 0.015019294602880248, 0.015016578158414885, 0.015014207346918603, 0.015012138558116107, 0.015010334417887138, 0.015008762906082036, 0.015007396596801047, 0.015006212007834675, 0.015005189046073647, 0.015004310536491939, 0.01500356182344875, 0.015002930434337184, 0.015002405796903246, 0.01500197900279927, 0.015001642611086071, 0.01500139048644719, 0.015001217667827364, 0.015001120264068872, 0.015001095373907905, 0.015001141028430717, 0.015001256154798878, 0.015001440560761359, 0.015001694940211101, 0.015002020900852798, 0.015002421015975858, 0.01500289890343345, 0.015003459336298671, 0.015004108391414934, 0.01500485364433664, 0.015005704422190833, 0.015006672130100112, 0.015007770672457793, 0.015009016998228781, 0.015010431810599629, 0.015012040497300289, 0.015013874361218581, 0.015015972265391113, 0.015018382858290874, 0.015021167624722064, 0.015024405131631332, 0.01502819703602061, 0.015032676745454079, 0.015038022163867329, 0.015044474891505668, 0.015052369917362012, 0.01506218293109525, 0.015074608337923963, 0.015090693108313683, 0.015112077348099969, 0.015141451205153799, 0.015183482368128779, 0.015246859295132588, 0.015349279449874307, 0.01553135035747691, 0.015902687392524775, 0.016832646019775636, 0.019832241574032895, 0.024024543549487271, 0.01848794907380957, 0.016284789870419036, 0.015606015339881143, 0.015333572906522363, 0.015201318655406805, 0.0151284003936678, 0.015084449295453573, 0.015056169352632445, 0.015037044819712507, 0.015023596893127338, 0.015013839163435731, 0.015006574464021979, 0.015001048604011481, 0.014996768554151371, 0.014993401751930402, 0.014990717763758968, 0.014988553158564481, 0.01498678964000677, 0.014985340030092205, 0.014984139051431606, 0.014983137125424052, 0.014982296113671306, 0.014981586339683696, 0.014980984471223943, 0.014980471991823438, 0.014980034082379565, 0.014979658792549127, 0.014979336419815414, 0.014979059039312299, 0.014978820144409178, 0.01497861436959123, 0.014978437275136442, 0.014978285178669353, 0.014978155022623998, 0.014978044269482939, 0.014977950818714217, 0.014977872940834552, 0.014977809225143685, 0.01497775853851269, 0.014977719993245264, 0.014977692922522675, 0.014977676862329242, 0.014977671539067205, 0.01497767419877767, 0.014977682199944185, 0.014977695608938926, 0.014977714537276882, 0.014977739142976782, 0.014977769632504691, 0.014977806263340134, 0.014977849347217687, 0.014977899254112515, 0.014977956417055259, 0.014978021337881961, 0.014978094594048245, 0.014978176846665274, 0.014978268849948545, 0.014978371462311568, 0.014978485659386011, 0.014978612549310891, 0.014978753390708036, 0.014978909613854277, 0.014979082845676112, 0.014979274939337452, 0.014979488009373635, 0.014979724473555368, 0.014979987102960975, 0.014980279082111877, 0.014980604081512769, 0.014980966345569342, 0.014981370799681695, 0.014981823181398818, 0.014982330201962497, 0.01498289974649944, 0.014983541123726553, 0.014984265379583752, 0.014985085694090851, 0.014986017887510777, 0.014987081071437139, 0.014988298493984796, 0.014989698647793795, 0.014991316738075668, 0.014993196650191573, 0.014995393619882993, 0.014997977906757384, 0.015001039923815436, 0.015004697518334033, 0.015009106494762527, 0.015014476130999372, 0.015021092574521175, 0.015029355015829408, 0.015039833224234623, 0.015053362060474662, 0.015071202584410767, 0.015095328715731314, 0.015128963553998382, 0.015177644228274183, 0.015251491962017982, 0.015370485109751272, 0.015578040257789286, 0.01598038546777053, 0.016872296604905787, 0.01904654578186676, 0.022064427557439936, 0.019854741395231412, 0.017303329372871486, 0.016212979517266551, 0.015724880740498978, 0.015474651359977743, 0.015331292764538288, 0.015241982064120328, 0.015182681800216175, 0.01514130660551867, 0.015111275249945003, 0.015088765652287978, 0.015071438252321946, 0.015057797091964807, 0.015046849858578366, 0.01503791740997467, 0.015030522245609957, 0.015024320676158432, 0.015019060184714128, 0.015014551835709704, 0.015010651957807717, 0.015007249703119707, 0.015004258423225308, 0.015001609580025357, 0.014999248374181451, 0.014997130558774253, 0.014995220084512022, 0.01499348733728652, 0.014991907803613501, 0.014990461049160396, 0.014989129929106568, 0.014987899972076545, 0.014986758895371478, 0.014985696220479164, 0.014984702965864877, 0.014983771399825952, 0.014982894840404565, 0.01498206749244972, 0.01498128431422013, 0.014980540907641898, 0.014979833427636487, 0.014979158506925468, 0.014978513193478709, 0.014977894898360839, 0.01497730135218835, 0.014976730568769154, 0.014976180814780173, 0.01497565058456482, 0.014975138579313858, 0.014974643690040703, 0.014974164983883058, 0.014973701693362991, 0.014973253208322766, 0.014972819070326035, 0.014972398969378676, 0.014971992742880906, 0.014971600376776776, 0.014971222008918785, 0.014970857934717433, 0.014970508615198917, 0.014970174687651489, 0.014969856979103326, 0.014969556522945416, 0.014969274579093502, 0.014969012658177202, 0.014968772550355551, 0.014968556359490919, 0.014968366543572954, 0.014967986302482536, 0.014967977853958802, 0.014968505562691643, 0.01496982637669283, 0.014972349222998298, 0.014976742310271355, 0.014984136184857614, 0.01499653039546928, 0.015017666875064811, 0.015055078026585126, 0.015125469084499528, 0.015271219020487226, 0.015623531578047623, 0.016746664796930696, 0.023347711713429926, 0.090867728718961843, 0.023083186753358888, 0.017685027003959762, 0.016415300369427798, 0.015919416324617668, 0.01567333907443982, 0.015534015345183021, 0.015449364350226221, 0.015396998796116263, 0.015366581712405056, 0.01535385467385627, 0.015358857075861496, 0.0153867460454972, 0.015452830347959386, 0.015601525296166166, 0.01599700846864531, 0.017700720803553019, 0.044902789190924025, 0.017482987966773365, 0.015516394278304669, 0.015204004419385511, 0.015109556749027354, 0.015071296859014054, 0.01505287519987341, 0.015042888235956977, 0.01503696280817095, 0.015033178244387817, 0.015030603617784305, 0.015028752299278149, 0.015027354031595316, 0.015026250952988013, 0.015025346736070486, 0.015024580251436506, 0.015023911269524268, 0.015023312381522297, 0.015022764275553767, 0.015022252891917307, 0.015021767665354225, 0.015021300414302448, 0.015020844625019271, 0.015020394982114951, 0.015019947055905123, 0.015019497091301169, 0.015019041863433419, 0.015018578577686764, 0.01501810479959358, 0.015017618404948474, 0.015017117543681379, 0.015016600613104041, 0.015016066237529973, 0.015015513252203107, 0.015014940690112383, 0.015014347770714479, 0.01501373388989969, 0.015013098610756791, 0.015012441654849861, 0.015011762893831208, 0.015011062341293338, 0.015010340144816624, 0.015009596578206212, 0.015008832033934211, 0.015008047015816612, 0.015007242131959749, 0.015006418088011564, 0.015005575680749237, 0.015004715792028705, 0.015003839383113775, 0.015002947489393854, 0.015002041215490685, 0.015001121730745465, 0.015000190265069884, 0.014999248105137168, 0.014998296590882551, 0.014997337112277449, 0.014996371106336963, 0.014995400054317048, 0.014994425479055242, 0.01499344894240761, 0.014992472042733835, 0.014991496412382935, 0.014990523715133158, 0.014989555643541388, 0.014988593916160167, 0.014987640274583243, 0.014986696480284587, 0.014985764311219923, 0.014984845558164477, 0.01498394202076596, 0.014983055503297286, 0.014982187810099391, 0.014981340740710822, 0.014980516084687204, 0.014979715616120305, 0.014978941087873128, 0.014978194225554272, 0.014977476721261431, 0.01497679022713033, 0.014976136348731729, 0.01497551663836454, 0.014974932588298762, 0.014974385624026091, 0.014973877097579876, 0.014973408280989179, 0.014972980359933174, 0.014972594427663126, 0.014972251479258746, 0.014971952406284062, 0.014971697991905175, 0.014971488906528429, 0.014971325704012162, 0.014971208818499287, 0.0149711385619106, 0.014971115122130795, 0.014971130749484279, 0.01497117759969469, 0.014971255577311382, 0.014971364523580298, 0.014971504216936053, 0.014971674373683838, 0.014971874648864389, 0.014972104637293196, 0.01497236387476372, 0.014972651839402494, 0.0149729679531627, 0.014973311583441486, 0.014973682044805084, 0.014974078600804953, 0.014974500465867296, 0.01497494680723784, 0.014975416746963342, 0.014975909363891222, 0.014976423695668751, 0.014976958740723533, 0.014977513460207512, 0.014978086779887547, 0.014978677591966503, 0.014979284756819981, 0.014979907104635202, 0.014980543436940361, 0.014981192528014298, 0.014981853126168889, 0.014982523954898304, 0.014983203713892694, 0.014983891079915662, 0.014984584707548966, 0.014985283229810704, 0.014985985258656893, 0.01498668938538057, 0.014987394180926473, 0.014988098196143877, 0.01498879996200504, 0.014989497989821413, 0.014990190771495141, 0.014990876779848526, 0.014991554469079561, 0.014992222275396858, 0.014992878617892419, 0.014993521899715704, 0.014994150509616541, 0.0149947628239279, 0.014995357209062435, 0.014995932024597501, 0.014996485627023189, 0.014997016374225316, 0.01499752263077052, 0.014998002774052924, 0.014998455201351178, 0.014998878337830255, 0.014999270645504763, 0.014999630633158435, 0.01499995686718906, 0.015000247983318825, 0.015000502699077331, 0.015000719826929538, 0.015000898287883943, 0.015001037125378919, 0.015001135519208682, 0.015001192799216811, 0.015001208458455914, 0.015001182165489787, 0.015001113775500405, 0.015001003339858843, 0.015000851113827847, 0.015000657562085873, 0.015000423361797823, 0.015000149403007179, 0.014999836786185758, 0.014999486816850024, 0.014999100997233273, 0.014998681015088677, 0.014998228729784338, 0.014997746155935038, 0.014997235444891073, 0.014996698864470009, 0.014996138777367421, 0.014995557618716866, 0.014994957873284991, 0.014994342052784521, 0.014993712673767408, 0.014993072236523044, 0.014992423205356072, 0.014991767990557165, 0.014991108932312021, 0.014990448286722876, 0.01498978821404532, 0.014989130769175798, 0.014988477894362823, 0.014987831414061212, 0.014987193031803191, 0.014986564328925055, 0.014985946764962585, 0.014985341679512112, 0.014984750295346448, 0.014984173722574828, 0.014983612963641929, 0.01498306891897209, 0.014982542393079437, 0.014982034100981843, 0.014981544674775298, 0.014981074670244249, 0.014980624573402816, 0.014980194806879649, 0.014979785736076676, 0.014979397675047289, 0.014979030892053807, 0.014978685614776095, 0.014978362035154024, 0.01497806031385512, 0.014977780584366331, 0.014977522956714378, 0.014977287520823857, 0.014977074349525658, 0.01497688350123017, 0.014976715022281345, 0.014976568949008192, 0.014976445309489968, 0.014976344125050575, 0.014976265411496813, 0.014976209180112924, 0.014976175438422473, 0.014976164190726263], [0.014433073579978577, 0.014433094649389838, 0.014433157828629369, 0.014433263030893793, 0.014433410112107367, 0.01443359887181243, 0.014433829054407148, 0.014434100350721979, 0.014434412399923846, 0.014434764791734781, 0.014435157068950141, 0.014435588730239235, 0.01443605923320988, 0.014436567997716965, 0.014437114409393865, 0.014437697823384605, 0.014438317568254044, 0.014438972950052923, 0.014439663256514143, 0.014440387761357009, 0.014441145728676056, 0.014441936417391638, 0.014442759085740008, 0.014443612995781343, 0.01444449741790502, 0.01444541163531244, 0.014446354948458744, 0.014447326679435941, 0.014448326176280972, 0.014449352817193614, 0.014450406014649976, 0.014451485219398853, 0.014452589924328817, 0.014453719668195492, 0.014454874039198982, 0.014456052678402782, 0.014457255282986449, 0.014458481609325349, 0.014459731475892385, 0.014461004765978053, 0.014462301430227651, 0.014463621488997293, 0.014464965034534698, 0.01446633223299631, 0.014467723326320289, 0.014469138633985622, 0.014470578554702093, 0.014472043568095484, 0.014473534236478021, 0.014475051206828399, 0.014476595213149725, 0.014478167079431061, 0.014479767723511143, 0.01448139816223545, 0.014483059518413688, 0.014484753030229006, 0.014486480063927774, 0.014488242130835192, 0.014490040910003416, 0.014491878278111601, 0.014493756348607742, 0.014495677522517729, 0.014497644553854966, 0.014499660633153917, 0.014501729493335284, 0.014503855542907963, 0.014506044032452831, 0.014508301261462381, 0.01451063483400512, 0.014513053973462729, 0.014515569908937447, 0.014518196349128829, 0.014520950063951727, 0.014523851600533856, 0.014526926169400552, 0.014530204749966908, 0.014533725483895777, 0.014537535453426604, 0.01454169298400362, 0.014546270673590678, 0.014551359446443441, 0.014557074075715463, 0.014563560848974833, 0.014571008418683584, 0.014579663484147616, 0.014589853972539925, 0.014602024166107813, 0.014616789433889311, 0.014635024253409601, 0.014658009038814684, 0.01468768574825579, 0.014727125949587519, 0.014781441739434388, 0.014859695984077789, 0.014979302393279098, 0.01517747244664819, 0.015546320535131762, 0.01636908753012184, 0.018877755734731907, 0.031770735126904474, 0.031864679057721404, 0.018037485219126147, 0.015708689347644175, 0.015036324251209578, 0.014766827211401806, 0.014636530056968357, 0.0145655664819978, 0.01452363279320879, 0.014497351092407811, 0.014480137472137857, 0.01446847547640452, 0.014460363308605569, 0.014454601713463466, 0.014450441588424382, 0.014447398476982639, 0.014445149770258434, 0.014443475223112364, 0.014442221239333934, 0.014441278734457106, 0.014440569030001682, 0.014440034646567686, 0.014439633167899844, 0.014439333078361354, 0.014439110898026273, 0.014438949190173325, 0.014438835168803529, 0.014438759729453205, 0.014438716788074207, 0.014438702853590862, 0.014438707440316898, 0.01443872127843158, 0.014438744603726669, 0.014438777815875539, 0.014438821488749511, 0.014438876385450102, 0.014438943478689445, 0.014439023977397766, 0.014439119360740065, 0.014439231421107389, 0.014439362318140423, 0.0144395146464865, 0.014439691520842155, 0.014439896682971548, 0.014440134636931142, 0.014440410820835314, 0.014440731826404773, 0.014441105681600317, 0.014441542217381382, 0.014442053547834698, 0.014442654704809509, 0.014443364485669409, 0.014444206598839653, 0.014445211231359487, 0.014446417223666864, 0.014447875132867938, 0.01444965162009693, 0.014451835851539523, 0.014454549031483587, 0.014457958930783875, 0.014462302610829588, 0.014467923029692244, 0.014475330036663894, 0.014485306052550006, 0.014499097737294755, 0.014518782972067056, 0.01454802093162829, 0.014593713132292716, 0.014670071452915103, 0.014809961324557128, 0.015102452539582372, 0.015848680181522041, 0.018354459290870706, 0.024042570768308381, 0.019003454759558731, 0.016200021296429588, 0.015330619091601624, 0.014978258693208235, 0.014803527681534959, 0.014704432036610229, 0.014642739984860766, 0.01460163519521893, 0.014572802327138186, 0.014551748612153786, 0.014535872717650104, 0.014523582609782162, 0.014513858730314091, 0.014506022995796224, 0.014499609794126787, 0.01449429055338966, 0.01448982786916558, 0.014486046644696538, 0.014482815388741181, 0.014480033776123783, 0.014477624180664483, 0.014475525792233164, 0.014473690453353545, 0.014472079663692735, 0.014470662392644816, 0.014469413460662963, 0.014468312327232637, 0.014467342173883631, 0.014466489204262726, 0.014465742106048325, 0.014465091635136566, 0.014464530293445559, 0.014464052079410615, 0.014463652295786639, 0.014463327403409325, 0.014463074912547742, 0.014462893305720488, 0.014462781987562467, 0.014462741258672997, 0.014462772311457811, 0.014462877246878052, 0.014463059111797594, 0.014463321957321293, 0.014463670919174765, 0.014464112321818713, 0.014464653808637045, 0.014465304501203102, 0.014466075191320151, 0.014466978570250571, 0.014468029500282139, 0.0144692453345015, 0.014470646291302939, 0.014472255890668367, 0.014474101459472838, 0.014476214712786513, 0.014478632417037467, 0.014481397138500333, 0.01448455807620401, 0.014488171971048945, 0.014492304071361683, 0.014497029117501746, 0.014502432282131911, 0.014508609965445781, 0.014515670292595441, 0.014523733090202332, 0.014532929027238854, 0.014543397492031353, 0.014555282645937227, 0.014568726959035019, 0.014583861423197968, 0.014600791605754665, 0.014619578835536372, 0.014640216217533482, 0.014662599987262158, 0.014686498055976525, 0.014711519479215677, 0.014737090803603648, 0.014762447268417658, 0.014786647726135659, 0.014808620730627432, 0.014827244584246533, 0.01484145625664263, 0.014850374620069965, 0.014853415625980648, 0.014850374620069955, 0.014841456256642734, 0.0148272445842465, 0.014808620730627421, 0.014786647726135664, 0.014762447268417772, 0.014737090803603622, 0.014711519479215653, 0.014686498055976461, 0.014662599987262118, 0.014640216217533532, 0.01461957883553637, 0.014600791605754684, 0.014583861423197978, 0.014568726959035034, 0.01455528264593722, 0.014543397492031358, 0.014532929027238854, 0.014523733090202329, 0.014515670292595437, 0.014508609965445778, 0.014502432282131907, 0.014497029117501744, 0.014492304071361685, 0.01448817197104894, 0.014484558076204013, 0.014481397138500329, 0.01447863241703747, 0.014476214712786512, 0.01447410145947284, 0.014472255890668369, 0.014470646291302939, 0.014469245334501502, 0.014468029500282139, 0.014466978570250574, 0.014466075191320146, 0.014465304501203102, 0.014464653808637044, 0.014464112321818712, 0.014463670919174764, 0.014463321957321291, 0.014463059111797594, 0.014462877246878055, 0.014462772311457817, 0.014462741258672996, 0.014462781987562463, 0.01446289330572049, 0.014463074912547742, 0.014463327403409321, 0.014463652295786635, 0.014464052079410619, 0.014464530293445558, 0.014465091635136563, 0.014465742106048327, 0.014466489204262719, 0.014467342173883631, 0.014468312327232637, 0.014469413460662965, 0.014470662392644813, 0.014472079663692735, 0.014473690453353543, 0.014475525792233159, 0.014477624180664476, 0.01448003377612378, 0.01448281538874119, 0.014486046644696538, 0.014489827869165584, 0.014494290553389671, 0.014499609794126782, 0.014506022995796232, 0.014513858730314105, 0.014523582609782169, 0.014535872717650101, 0.014551748612153803, 0.014572802327138177, 0.014601635195218931, 0.014642739984860847, 0.014704432036610246, 0.0148035276815349, 0.01497825869320814, 0.015330619091602129, 0.016200021296427006, 0.019003454759557503, 0.024042570768309249, 0.018354459290871272, 0.015848680181520348, 0.015102452539582228, 0.014809961324556885, 0.014670071452915236, 0.014593713132292708, 0.01454802093162836, 0.014518782972067117, 0.014499097737294769, 0.014485306052550018, 0.014475330036663896, 0.014467923029692246, 0.01446230261082959, 0.014457958930783872, 0.014454549031483587, 0.014451835851539523, 0.014449651620096931, 0.014447875132867941, 0.014446417223666859, 0.014445211231359485, 0.014444206598839654, 0.014443364485669404, 0.01444265470480951, 0.014442053547834694, 0.014441542217381382, 0.014441105681600321, 0.014440731826404771, 0.014440410820835312, 0.014440134636931138, 0.014439896682971545, 0.014439691520842155, 0.014439514646486499, 0.014439362318140424, 0.014439231421107391, 0.014439119360740065, 0.014439023977397762, 0.014438943478689447, 0.014438876385450102, 0.014438821488749511, 0.014438777815875537, 0.014438744603726674, 0.014438721278431578, 0.014438707440316898, 0.014438702853590862, 0.014438705145302055, 0.014438712039480207, 0.014438723593480822, 0.014438739903639969, 0.014438761106404671, 0.014438787379945967, 0.014438818946286356, 0.014438856073983729, 0.014438899081426008, 0.014438948340804085, 0.014439004282846475, 0.014439067402417198, 0.014439138265100536, 0.01443921751492167, 0.014439305883383902, 0.014439404200040414, 0.014439513404864792, 0.014439634562740458, 0.014439768880458663, 0.014439917726700157, 0.014440082655582344, 0.014440265434487112, 0.014440468077052088, 0.014440692882420107, 0.014440942482111417, 0.014441219896227809, 0.014441528601142221, 0.014441872611402288, 0.014442256579327172, 0.014442685916762938, 0.014443166944767606, 0.01444370707873942, 0.014444315058847662, 0.014445001238810738, 0.014445777950434446, 0.014446659967374362, 0.014447665100059195, 0.01444881496571648, 0.014450135994660851, 0.014451660759038117, 0.014453429747137873, 0.014455493761693482, 0.014457917204847818, 0.014460782643212421, 0.014464197253444742, 0.014468302083757304, 0.014473285622164758, 0.014479404108044897, 0.0144870126827487, 0.014496614484082423, 0.014508940454972519, 0.014525083765760427, 0.014546735696276443, 0.014576619849479468, 0.014619337918677817, 0.014683132103772416, 0.014783869376795723, 0.014954983753688708, 0.015275371710755874, 0.015957612552115946, 0.017620835241559971, 0.021010704701814615, 0.020585442062796774, 0.017400018684152908, 0.015930792548503974, 0.015304943738733359, 0.01499873117689071, 0.014829292918191453, 0.014726413178255057, 0.014659419892148806, 0.01461337931394904, 0.014580362382129078, 0.014555856726253417, 0.014537145571757802, 0.01452251542903886, 0.014510842730450996, 0.014501366025159534, 0.014493554457089289, 0.014487028738264001, 0.014481511992432201, 0.014476798238945852, 0.0144727316399599, 0.014469192507340717, 0.014466087665483218, 0.014463343686488791, 0.014460902059179161, 0.014458715684804672, 0.014456746298637827, 0.014454962547921339, 0.014453338541829159, 0.014451852745389352, 0.014450487127136962, 0.014449226496067615, 0.014448057981318371, 0.014446970620524567, 0.014445955031689797, 0.014445003149790756, 0.014444108013971772, 0.01444326359458234, 0.01444246465182618, 0.014441706619669294, 0.014440985510070279, 0.014440297833671215, 0.01443964053391055, 0.014439010932154394, 0.014438406681935854, 0.014437825730778345, 0.014437266288383514, 0.014436726800206454, 0.0144362059256353, 0.014435702520149481, 0.014435215620959193, 0.014434744435735933, 0.01443428833413286, 0.014433846841871595, 0.014433419637238754, 0.014433006549897062, 0.014432607561971924, 0.014432222811428972, 0.014431852597811896, 0.014431497390465856, 0.014431157839430568, 0.014430834789252696, 0.014430529296039312, 0.014430242648158405, 0.014429976391089122, 0.014429732357039822, 0.014429512700088789, 0.014429027288233986, 0.01442888010731895, 0.014429216793879648, 0.014430264392384168, 0.014432382136026349, 0.014436152064188107, 0.014442547914795873, 0.014453267089012683, 0.014471427138882689, 0.01450315110962681, 0.014561573575733816, 0.014678475196856807, 0.014945381863698618, 0.015709604652221029, 0.019173882999522988, 0.069011583753754657, 0.029022354717188087, 0.018120632386076106, 0.016205508014022093, 0.015540192371514217, 0.015229804253947047, 0.015060607286419369, 0.014960450381454195, 0.014899778172993974, 0.014865389489562012, 0.014852011709392557, 0.014859882072729393, 0.014895946616254431, 0.014981173561755321, 0.015179750175452702, 0.015755566637256035, 0.018906649814063162, 0.038358149722267691, 0.016001915719638115, 0.014863840486772736, 0.014635636352329376, 0.014560032939116216, 0.014527895208191156, 0.014511955713593818, 0.014503137831944533, 0.014497827320430794, 0.014494395510285809, 0.014492038331609306, 0.014490329667922894, 0.014489030356086244, 0.014487999508241305, 0.014487150536728357, 0.014486428137026379, 0.014485795684718446, 0.014485228065935243, 0.014484707462997062, 0.014484220806005267, 0.014483758193383005, 0.014483311891650988, 0.014482875689959662, 0.014482444476601731, 0.014482013957074125, 0.014481580463903647, 0.014481140826807282, 0.014480692282987172, 0.01448023241436421, 0.014479759103002731, 0.014479270498853445, 0.014478764995829937, 0.014478241213494621, 0.014477697982483214, 0.014477134332383729, 0.014476549481193597, 0.014475942825765505, 0.014475313932855316, 0.014474662530529812, 0.014473988499793892, 0.014473291866368324, 0.014472572792598139, 0.014471831569503876, 0.014471068609007539, 0.014470284436375156, 0.014469479682921484, 0.014468655079020211, 0.014467811447458064, 0.014466949697163134, 0.01446607081732924, 0.014465175871947586, 0.014464265994747948, 0.014463342384541451, 0.01446240630094856, 0.014461459060487764, 0.014460502032993492, 0.014459536638326175, 0.014458564343332323, 0.014457586659009198, 0.014456605137826019, 0.014455621371152217, 0.014454636986742528, 0.014453653646229515, 0.014452673042574707, 0.014451696897431986, 0.014450726958379225, 0.014449764995977325, 0.014448812800620056, 0.014447872179141964, 0.014446944951156893, 0.014446032945104765, 0.014445137993990102, 0.014444261930801847, 0.014443406583610324, 0.014442573770344148, 0.01444176529325638, 0.014440982933096392, 0.014440228443010846, 0.014439503542203934, 0.014438809909394, 0.014438149176109723, 0.014437522919875254, 0.01443693265733895, 0.014436379837405139, 0.014435865834432191, 0.01443539194156321, 0.0144349593642575, 0.014434569214091902, 0.014434222502900681, 0.014433920137320963, 0.014433662913808043, 0.014433451514180726, 0.01443328650175154, 0.014433168318090498, 0.014433097280463523, 0.014433073579978577, 0.014433089381149355, 0.014433136752259539, 0.014433215596204262, 0.014433325751479455, 0.014433466992684291, 0.014433639031217554, 0.014433841516160763, 0.014434074035339174, 0.014434336116550069, 0.014434627228945934, 0.0144349467845588, 0.014435294139950502, 0.014435668597972776, 0.014436069409619681, 0.01443649577595456, 0.014436946850092808, 0.014437421739221525, 0.014437919506637071, 0.014438439173781473, 0.014438979722259038, 0.014439540095815082, 0.014440119202259412, 0.014440715915318224, 0.01444132907639927, 0.01444195749625663, 0.014442599956543203, 0.014443255211240631, 0.014443921987959098, 0.014444598989101149, 0.014445284892887069, 0.014445978354241652, 0.014446678005545744, 0.014447382457259395, 0.014448090298426955, 0.014448800097078754, 0.014449510400548123, 0.014450219735727254, 0.014450926609290036, 0.014451629507915309, 0.014452326898549146, 0.014453017228750087, 0.014453698927167006, 0.014454370404204374, 0.014455030052935179, 0.014455676250326597, 0.014456307358847805, 0.01445692172853306, 0.014457517699575515, 0.014458093605528575, 0.014458647777190905, 0.014459178547248614, 0.014459684255742979, 0.014460163256424116, 0.014460613924039667, 0.014461034662592766, 0.014461423914585009, 0.014461780171237348, 0.014462101983655317, 0.014462387974874818, 0.014462636852690674, 0.014462847423134112, 0.014463018604427079, 0.01446314944120298, 0.014463239118745764, 0.014463286976965141, 0.014463292523795777, 0.014463255447685845, 0.014463175628826666, 0.014463053148772515, 0.014462888298109556, 0.014462681581856717, 0.014462433722318896, 0.01446214565916493, 0.014461818546567541, 0.014461453747318113, 0.014461052823913129, 0.014460617526697658, 0.014460149779240891, 0.014459651661204304, 0.014459125389041105, 0.014458573294932046, 0.014457997804413501, 0.014457401413187578, 0.014456786663618418, 0.014456156121413929, 0.014455512352969026, 0.014454857903806281, 0.01445419527849599, 0.014453526922373101, 0.014452855205297079, 0.014452182407626113, 0.014451510708503389, 0.014450842176482421, 0.014450178762455039, 0.014449522294789635, 0.014448874476541591, 0.01444823688456209, 0.01444761097030605, 0.014446998062124289, 0.014446399368818212, 0.01444581598423633, 0.014445248892699136, 0.014444698975051178, 0.014444167015155485, 0.014443653706663666, 0.014443159659915232, 0.014442685408839971, 0.014442231417757192, 0.014441798087984913, 0.01444138576418999, 0.014440994740426394, 0.014440625265823272, 0.014440277549897263, 0.014439951767474148, 0.014439648063214119, 0.014439366555742288, 0.014439107341391736, 0.01443887049757109, 0.014438656085771575, 0.014438464154230699, 0.014438294740270833, 0.0144381478723312, 0.014438023571711584, 0.014437921854044827, 0.014437842730514142, 0.014437786208828877, 0.014437752293970919, 0.014437740988720853], [0.0138942262881541, 0.013894247512312346, 0.013894311155472355, 0.013894417129873212, 0.013894565289856168, 0.013894755432774193, 0.013894987300256303, 0.013895260579817659, 0.013895574906804072, 0.013895929866657478, 0.013896324997486701, 0.01389675979292612, 0.013897233705263015, 0.013897746148813277, 0.013898296503523576, 0.013898884118777417, 0.013899508317381782, 0.013900168399710543, 0.013900863647980705, 0.013901593330637479, 0.013902356706824617, 0.013903153030916699, 0.013903981557090881, 0.0139048415439163, 0.013905732258940425, 0.013906652983252539, 0.013907603016005909, 0.013908581678881286, 0.013909588320475666, 0.013910622320601713, 0.013911683094484215, 0.013912770096841644, 0.013913882825841856, 0.013915020826922362, 0.013916183696466872, 0.013917371085331103, 0.013918582702212214, 0.013919818316857794, 0.013921077763112254, 0.01392236094180049, 0.013923667823451944, 0.013924998450871752, 0.013926352941570953, 0.013927731490074627, 0.013929134370136197, 0.013930561936898572, 0.01393201462905962, 0.013933492971121444, 0.013934997575832215, 0.013936529146966886, 0.013938088482642582, 0.013939676479426899, 0.01394129413757777, 0.013942942567854211, 0.013944623000463762, 0.013946336796869203, 0.013948085465369743, 0.013949870681607069, 0.013951694315430856, 0.013953558465898712, 0.013955465506590809, 0.013957418143897671, 0.013959419491501521, 0.013961473164930301, 0.013963583400836012, 0.01396575520656235, 0.013967994546659535, 0.013970308574340087, 0.013972705917545687, 0.01397519703146383, 0.01397779463222667, 0.013980514230493409, 0.013983374789183729, 0.013986399537566582, 0.01398961698535584, 0.013993062197114142, 0.013996778411652018, 0.014000819127089274, 0.014005250825808993, 0.014010156594197512, 0.014015641015307218, 0.014021836904232325, 0.014028914760258838, 0.014037096304500337, 0.014046674297592468, 0.014058042252507889, 0.014071740183416833, 0.014088527194054392, 0.01410950068897013, 0.01413630015001713, 0.014171472282404712, 0.014219163252666738, 0.014286524174282056, 0.014386818832941361, 0.014547087705263065, 0.014829996045109718, 0.015410092923975023, 0.016934044903009673, 0.023233433997431403, 0.04452802406357631, 0.020381320355285708, 0.01577373362760498, 0.014699929967633536, 0.014315617880876624, 0.014141830013202397, 0.014051218018490892, 0.013999277552985473, 0.013967440002649373, 0.013946935121511902, 0.013933223072954744, 0.013923782288067846, 0.013917131773669355, 0.013912361387024336, 0.013908890463622531, 0.013906336727312981, 0.013904441716422073, 0.013903026656130841, 0.013901965448004434, 0.013901167644788661, 0.01390056744123444, 0.013900116394534898, 0.013899778516852344, 0.013899526912129038, 0.013899341440425844, 0.013899207080625297, 0.013899112778338607, 0.013899050639377542, 0.01389901537698974, 0.013899003953182654, 0.013899007924391039, 0.013899019905648348, 0.013899040101517759, 0.01389906885855852, 0.013899106673988387, 0.013899154208287809, 0.013899212302256327, 0.013899281999228212, 0.013899364573395565, 0.013899461565488731, 0.013899574827449935, 0.013899706578235778, 0.013899859473541307, 0.013900036693109926, 0.013900242050463547, 0.01390048013147276, 0.01390075647035764, 0.013901077774713447, 0.013901452215356571, 0.013901889802730482, 0.013902402880126511, 0.013903006776331746, 0.0139037206785055, 0.013904568813268146, 0.01390558206528222, 0.013906800226476536, 0.013908275169798512, 0.013910075403690669, 0.013912292731251738, 0.013915052191444814, 0.013918527250063232, 0.013922963631363838, 0.013928717839716203, 0.013936321597579066, 0.013946594000838253, 0.013960846022666255, 0.013981274593903026, 0.014011774402982506, 0.014059753379402568, 0.014140635624155939, 0.014290632109047944, 0.01461003093680968, 0.015449016477341581, 0.018376296354672424, 0.023909279391257546, 0.018096156994948147, 0.015549515427919769, 0.014751016737788732, 0.014420996716232291, 0.014255035800952245, 0.014159976639535374, 0.014100364866123628, 0.014060424664952224, 0.014032285665974668, 0.014011665687418478, 0.013996071309361233, 0.013983969442118962, 0.013974374451093763, 0.013966628644271799, 0.013960279125011897, 0.013955005503026823, 0.013950575783027665, 0.013946818530252807, 0.01394360478526261, 0.013940836006623427, 0.013938435846713932, 0.013936344426745927, 0.013934514278271182, 0.013932907418668804, 0.013931493212627545, 0.01393024678771271, 0.013929147846685131, 0.013928179768093723, 0.013927328919240136, 0.013926584127699837, 0.013925936272789348, 0.013925377968992762, 0.013924903320886818, 0.013924507734510642, 0.013924187774064893, 0.013923941055736581, 0.013923766172633304, 0.013923662646483915, 0.01392363090307073, 0.013923672269406384, 0.013923788991533357, 0.013923984272561817, 0.013924262331212092, 0.013924628481722262, 0.013925089236539383, 0.013925652433746823, 0.013926327391695649, 0.013927125093798126, 0.013928058406889984, 0.013929142336940278, 0.013930394326125889, 0.013931834595303434, 0.013933486535567849, 0.01393537715168759, 0.013937537558466223, 0.013940003528098538, 0.013942816081812821, 0.01394602211176949, 0.013949675008330914, 0.013953835252161649, 0.013958570908614867, 0.013963957931733904, 0.013970080145126653, 0.013977028715491569, 0.013984900871332331, 0.013993797546446222, 0.014003819551575951, 0.014015061811917553, 0.014027605177547343, 0.014041505357196567, 0.014056778698167946, 0.014073384904142863, 0.014091207414565458, 0.014110033099506477, 0.014129534107686102, 0.014149255956645778, 0.014168616897088916, 0.014186923664712348, 0.014203407352539884, 0.014217279927148295, 0.014227807100437162, 0.014234387931061602, 0.014236627474327282, 0.014234387931061597, 0.014227807100437247, 0.014217279927148278, 0.01420340735253987, 0.014186923664712347, 0.014168616897088997, 0.01414925595664576, 0.014129534107686088, 0.01411003309950643, 0.014091207414565427, 0.014073384904142906, 0.014056778698167943, 0.014041505357196584, 0.014027605177547352, 0.014015061811917572, 0.014003819551575942, 0.013993797546446227, 0.013984900871332329, 0.013977028715491564, 0.013970080145126651, 0.013963957931733896, 0.013958570908614869, 0.013953835252161637, 0.013949675008330914, 0.01394602211176949, 0.013942816081812817, 0.013940003528098537, 0.013937537558466224, 0.013935377151687592, 0.013933486535567849, 0.013931834595303437, 0.013930394326125884, 0.013929142336940278, 0.013928058406889989, 0.013927125093798121, 0.013926327391695647, 0.013925652433746822, 0.013925089236539382, 0.013924628481722264, 0.01392426233121209, 0.013923984272561822, 0.013923788991533355, 0.013923672269406386, 0.013923630903070732, 0.013923662646483917, 0.013923766172633304, 0.013923941055736582, 0.013924187774064888, 0.013924507734510644, 0.013924903320886816, 0.01392537796899276, 0.01392593627278934, 0.013926584127699836, 0.013927328919240135, 0.013928179768093716, 0.013929147846685131, 0.013930246787712706, 0.01393149321262754, 0.013932907418668801, 0.013934514278271181, 0.013936344426745913, 0.013938435846713931, 0.013940836006623422, 0.01394360478526261, 0.01394681853025281, 0.013950575783027665, 0.013955005503026825, 0.013960279125011908, 0.013966628644271789, 0.013974374451093776, 0.013983969442118979, 0.013996071309361233, 0.014011665687418472, 0.014032285665974694, 0.014060424664952208, 0.01410036486612363, 0.014159976639535492, 0.014255035800952276, 0.014420996716232202, 0.014751016737788539, 0.015549515427920824, 0.018096156994939633, 0.023909279391257372, 0.018376296354676764, 0.015449016477341719, 0.014610030936809092, 0.01429063210904789, 0.014140635624155809, 0.014059753379402655, 0.014011774402982503, 0.013981274593903071, 0.013960846022666295, 0.01394659400083826, 0.013936321597579075, 0.013928717839716201, 0.013922963631363836, 0.013918527250063237, 0.013915052191444812, 0.013912292731251743, 0.013910075403690672, 0.013908275169798513, 0.013906800226476538, 0.01390558206528222, 0.013904568813268143, 0.0139037206785055, 0.013903006776331743, 0.013902402880126508, 0.013901889802730476, 0.013901452215356566, 0.013901077774713451, 0.013900756470357637, 0.013900480131472758, 0.013900242050463543, 0.013900036693109926, 0.013899859473541306, 0.013899706578235773, 0.013899574827449933, 0.013899461565488729, 0.013899364573395559, 0.013899281999228212, 0.013899212302256329, 0.013899154208287811, 0.013899106673988386, 0.013899068858558523, 0.013899040101517759, 0.013899019905648347, 0.013899007924391037, 0.013899003953182658, 0.013899005937356464, 0.013899011906443647, 0.013899021910327247, 0.013899036032768382, 0.013899054392352377, 0.013899077143837922, 0.013899104479934711, 0.013899136633543276, 0.013899173880500489, 0.013899216542884674, 0.013899264992946752, 0.013899319657748219, 0.013899381024603603, 0.013899449647445361, 0.013899526154252991, 0.013899611255717311, 0.013899705755345847, 0.013899810561258018, 0.013899926699971143, 0.013900055332542698, 0.013900197773513669, 0.013900355513197172, 0.013900530243979577, 0.013900723891457073, 0.013900938651426307, 0.013901177033996466, 0.013901441916408415, 0.01390173660655422, 0.013902064919719031, 0.013902431271754646, 0.013902840792795577, 0.013903299466819515, 0.013903814303939924, 0.013904393554447277, 0.013905046976499618, 0.013905786173306185, 0.013906625021093463, 0.01390758021674437, 0.013908671984732755, 0.013909924998312232, 0.013911369592125872, 0.01391304337601558, 0.013914993408437673, 0.013917279161603881, 0.013919976624225647, 0.013923184066764752, 0.013927030281923177, 0.013931686586881027, 0.013937384674172921, 0.013944443789813172, 0.013953313216469775, 0.013964640692871167, 0.013979386427255283, 0.013999020709341472, 0.014025882470320723, 0.014063865930855759, 0.014119822839009862, 0.014206656852752575, 0.014350827167575415, 0.014612739782575943, 0.015149711989259712, 0.016424967850537531, 0.019492202263233466, 0.021129767701649538, 0.017661882510383503, 0.015704979090041253, 0.014903097035893712, 0.014529025825527224, 0.014329356225418376, 0.014211277606105566, 0.014135892626575155, 0.014084868595400604, 0.014048716423297214, 0.014022144188107171, 0.014002017621333046, 0.013986386480198421, 0.013973986356831433, 0.013963968548864449, 0.013955746234574648, 0.013948903130294892, 0.013943137251589313, 0.013938225177417685, 0.013933998703574034, 0.01393032921053494, 0.013927116964603477, 0.013924283649973552, 0.013921767062666977, 0.013919517279352778, 0.013917493850257636, 0.01391566371468825, 0.013913999634009197, 0.01391247900022319, 0.013911082920621622, 0.013909795507713891, 0.013908603323450369, 0.013907494940587376, 0.013906460593827996, 0.013905491900375168, 0.013904581634600989, 0.013903723545240469, 0.013902912206252687, 0.013902142894529733, 0.013901411489164616, 0.013900714388149684, 0.013900048439263017, 0.013899410882582255, 0.013898799302594248, 0.013898211588282087, 0.013897645899896293, 0.013897100641375192, 0.013896574437586028, 0.013896066115725176, 0.013895574690352311, 0.013895099351645828, 0.013894639456561966, 0.01389419452266049, 0.013893764224431483, 0.013893348392020898, 0.013892947012312013, 0.013892560232376523, 0.013892188365365207, 0.01389183189896597, 0.013891491506618715, 0.013891168061743557, 0.013890862655314638, 0.013890576617198025, 0.013890311541773146, 0.013890069318476006, 0.013889503890444455, 0.013889249541116234, 0.013889435892435409, 0.013890264559344631, 0.01389205277493037, 0.013895310328708506, 0.013900880887994089, 0.013910214845551949, 0.013925929238089513, 0.013953047093435705, 0.014002017376956059, 0.014097064059544025, 0.014303657704899187, 0.014845556758644815, 0.01687479603645901, 0.035122160537473253, 0.045824008255998055, 0.019230899582193126, 0.016132044255422227, 0.015207822908639649, 0.014807832852770233, 0.014599237521653759, 0.01447935518697022, 0.014408397283565048, 0.014369243058087074, 0.014355281677736999, 0.014367066788330676, 0.014414103248580832, 0.0145257415583672, 0.014797788391017131, 0.015679571052395022, 0.022442486387948938, 0.023598654604004513, 0.014961361103347951, 0.014244763168188828, 0.014073193887499055, 0.014011774791373258, 0.013984513802555219, 0.013970613039779634, 0.013962770718774452, 0.013957976621967367, 0.013954841069651565, 0.013952665764498787, 0.013951075657160493, 0.013949858014408182, 0.01394888642440361, 0.01394808260713116, 0.013947396213419404, 0.013946793669973149, 0.013946251790382764, 0.013945753999150434, 0.013945288038549839, 0.013944844542665381, 0.013944416132173872, 0.013943996829235583, 0.013943581673275576, 0.013943166465152073, 0.013942747594681535, 0.013942321923010707, 0.013941886701466212, 0.013941439514856487, 0.01394097824124111, 0.013940501022800604, 0.013940006244163611, 0.013939492515701875, 0.013938958660086802, 0.013938403700940823, 0.013937826852793088, 0.013937227511813989, 0.013936605246990726, 0.013935959791539613, 0.013935291034444946, 0.01393459901207994, 0.013933883899909565, 0.013933146004303846, 0.013932385754506681, 0.013931603694813423, 0.013930800477011045, 0.013929976853131829, 0.013929133668564152, 0.013928271855554947, 0.013927392427128465, 0.013926496471434619, 0.013925585146530049, 0.013924659675584162, 0.013923721342493534, 0.013922771487879206, 0.013921811505434091, 0.013920842838581877, 0.013919866977403439, 0.013918885455783432, 0.013917899848726859, 0.013916911769793988, 0.013915922868601513, 0.013914934828338119, 0.013913949363244003, 0.013912968216005621, 0.013911993155020204, 0.013911025971487252, 0.01391006847628877, 0.013909122496624189, 0.013908189872371057, 0.013907272452148015, 0.013906372089062513, 0.013905490636131964, 0.013904629941373509, 0.013903791842564656, 0.013902978161683819, 0.013902190699047077, 0.01390143122716456, 0.013900701484347085, 0.013900003168100313, 0.013899337928350543, 0.01389870736055223, 0.013898112998732942, 0.013897556308536353, 0.013897038680327928, 0.013896561422430972, 0.01389612575456285, 0.013895732801542052, 0.013895383587336342, 0.013895079029520811, 0.013894819934211575, 0.013894606991536919, 0.013894440771702075, 0.013894321721697654, 0.013894250162693808, 0.0138942262881541, 0.013894242205371258, 0.013894289924213824, 0.0138943693463583, 0.013894480308275156, 0.013894622581739582, 0.013894795874539281, 0.013894999831372046, 0.013895234034924042, 0.013895498007117937, 0.013895791210518189, 0.013896113049879534, 0.013896462873823158, 0.013896839976623849, 0.013897243600090694, 0.013897672935522782, 0.013898127125720984, 0.01389860526703653, 0.013899106411436987, 0.013899629568570186, 0.013900173707807252, 0.01390073776024618, 0.013901320620658403, 0.013901921149361753, 0.013902538174004365, 0.013903170491245828, 0.013903816868323378, 0.013904476044492969, 0.013905146732337493, 0.013905827618936363, 0.013906517366894201, 0.013907214615228423, 0.013907917980119649, 0.013908626055531819, 0.013909337413712964, 0.013910050605591726, 0.013910764161089009, 0.013911476589368938, 0.01391218637905821, 0.01391289199846809, 0.013913591895858869, 0.013914284499791792, 0.013914968219619491, 0.013915641446171146, 0.01391630255269408, 0.013916949896118545, 0.013917581818716853, 0.013918196650231486, 0.013918792710549691, 0.013919368313002774, 0.013919921768367909, 0.013920451389647422, 0.013920955497694983, 0.013921432427749927, 0.013921880536929188, 0.013922298212710757, 0.013922683882423671, 0.013923036023735513, 0.013923353176101591, 0.013923633953108038, 0.013923877055606751, 0.013924081285502429, 0.013924245560012866, 0.01392436892618416, 0.01392445057540425, 0.013924489857622914, 0.013924486294956328, 0.013924439594331579, 0.013924349658813104, 0.013924216597251283, 0.013924040731904272, 0.013923822603709887, 0.013923562974923916, 0.013923262828895987, 0.013922923366821549, 0.013922546001387318, 0.013922132347314551, 0.013921684208896119, 0.013921203564715478, 0.013920692549823551, 0.01392015343572933, 0.013919588608627249, 0.013919000546335578, 0.013918391794453247, 0.013917764942255613, 0.013917122598842971, 0.013916467370029511, 0.013915801836417772, 0.013915128533046141, 0.013914449930929416, 0.013913768420737639, 0.01391308629878113, 0.013912405755393011, 0.013911728865728036, 0.013911057582931218, 0.013910393733572857, 0.013909739015200288, 0.013909094995820714, 0.013908463115104581, 0.013907844687083804, 0.013907240904113478, 0.013906652841867697, 0.013906081465148705, 0.013905527634302434, 0.013904992112050639, 0.013904475570569891, 0.013903978598668647, 0.013903501708935164, 0.013903045344749971, 0.013902609887076553, 0.013902195660962549, 0.013901802941700509, 0.013901431960612011, 0.013901082910432062, 0.013900755950281471, 0.01390045121022431, 0.013900168795414563, 0.013899908789842146, 0.013899671259692688, 0.013899456256338471, 0.013899263818979969, 0.013899093976958217, 0.013898946751758481, 0.013898822158725111, 0.013898720208506184, 0.013898640908245111, 0.01389858426253403, 0.01389855027414188, 0.013898538944527019], [0.013325944129475692, 0.013325965360222314, 0.013326029023079096, 0.013326135030082663, 0.013326283235245692, 0.013326473435479604, 0.013326705371877098, 0.013326978731345293, 0.013327293148577918, 0.013327648208352676, 0.013328043448137945, 0.013328478360990909, 0.013328952398727653, 0.013329464975344369, 0.01333001547066746, 0.013330603234209632, 0.013331227589208123, 0.013331887836821149, 0.013332583260458114, 0.013333313130219484, 0.013334076707422494, 0.01333487324918921, 0.013335702013074519, 0.01333656226171215, 0.013337453267458185, 0.013338374317012503, 0.013339324715999957, 0.013340303793494462, 0.013341310906470489, 0.013342345444168012, 0.013343406832358323, 0.01334449453749971, 0.013345608070773389, 0.013346746991991598, 0.013347910913371336, 0.013349099503168808, 0.013350312489171396, 0.013351549662045919, 0.013352810878544419, 0.013354096064571337, 0.013355405218119823, 0.013356738412089496, 0.013358095797004163, 0.013359477603656212, 0.013360884145715327, 0.013362315822353294, 0.013363773120955911, 0.013365256620017529, 0.013366766992346369, 0.013368305008750471, 0.013369871542428033, 0.013371467574354845, 0.013373094200048516, 0.013374752638199096, 0.013376444241792556, 0.013378170512523685, 0.013379933119503374, 0.013381733923520489, 0.013383575008426778, 0.013385458721584325, 0.013387387725758019, 0.013389365065361728, 0.013391394250590157, 0.013393479363705295, 0.013395625192622523, 0.013397837397989922, 0.013400122721229845, 0.013402489242593848, 0.013404946700296948, 0.013407506884434603, 0.013410184122936515, 0.013412995881709735, 0.013415963508017097, 0.013419113155988463, 0.013422476947400366, 0.013426094441625229, 0.013430014519187114, 0.013434297828666779, 0.013439020014641725, 0.013444276047595113, 0.01345018613617893, 0.013456903953240477, 0.013464628311083707, 0.013473620088459166, 0.013484227344506905, 0.013496923540380507, 0.013512367395544341, 0.013531499724610848, 0.013555706100461242, 0.013587102375326432, 0.013629062723476559, 0.0136872597628151, 0.013771878842511198, 0.013902818175865054, 0.014123571950762664, 0.014545392117063767, 0.015528496424606641, 0.018789018640895362, 0.037267502100866018, 0.026883211115554209, 0.016323688728955746, 0.014450590776415272, 0.013874032453157863, 0.013634335176571611, 0.013515759250535345, 0.013450163668552343, 0.013410962362311185, 0.013386183166074931, 0.013369845727224343, 0.013358718797493103, 0.013350945819137219, 0.013345406056390601, 0.013341394973973438, 0.013338454445311619, 0.013336277938753518, 0.013334655292410409, 0.013333439366291493, 0.013332525267465999, 0.01333183705175536, 0.013331319006741369, 0.01333092981792529, 0.013330638593471625, 0.013330422113758251, 0.013330262904999703, 0.013330147878743169, 0.013330067368315839, 0.013330014450565062, 0.013329984478912945, 0.013329974779325035, 0.013329978261063845, 0.013329988765477621, 0.013330006471572266, 0.013330031682456892, 0.013330064832682176, 0.013330106498903609, 0.013330157414285712, 0.013330218487222122, 0.013330290825139693, 0.013330375764395715, 0.013330474907582627, 0.013330590169948503, 0.013330723837154411, 0.013330878637266478, 0.013331057830781088, 0.013331265323693293, 0.013331505810262883, 0.013331784954388849, 0.013332109621628247, 0.013332488178274763, 0.01333293088011764, 0.013333450382404891, 0.013334062415477889, 0.013334786689630297, 0.013335648121321667, 0.013336678516384091, 0.013337918913305777, 0.013339422896313267, 0.013341261360269771, 0.013343529494502557, 0.01334635723704536, 0.01334992529828475, 0.013354490385567231, 0.013360426136773717, 0.013368291903118182, 0.013378953099228668, 0.013393802020430438, 0.013415186556230946, 0.013447301474481206, 0.013498204763381457, 0.013584893898855189, 0.013747993846552072, 0.014102960970158507, 0.015068642463163842, 0.018577245501451237, 0.023423883549256092, 0.017113657512276594, 0.014859306450712035, 0.01413710074484441, 0.013831541993226832, 0.013675379119222271, 0.013584914798064451, 0.013527713928179096, 0.013489147990789964, 0.013461843432006546, 0.013441755849013888, 0.013426514938653624, 0.013414655525043969, 0.013405231435187213, 0.013397608923695261, 0.013391350170111987, 0.013386144580355861, 0.013381766701716357, 0.013378049575836128, 0.0133748673726158, 0.013372123781192924, 0.013369744072512152, 0.013367669562068737, 0.013365853676895457, 0.013364259116536643, 0.013362855773801767, 0.013361619192105786, 0.013360529407690395, 0.013359570071944998, 0.013358727780396169, 0.013357991556225355, 0.013357352450856862, 0.0133568032344306, 0.013356338156262375, 0.013355952760635836, 0.013355643747091693, 0.013355408867206618, 0.013355246851976619, 0.013355157365541406, 0.013355140982249002, 0.013355199185064935, 0.013355334384150094, 0.013355549955117115, 0.013355850297063508, 0.013356240910994837, 0.013356728499707033, 0.013357321090597656, 0.013358028183215102, 0.013358860923613295, 0.013359832307722502, 0.013360957415917528, 0.013362253680679257, 0.013363741188579602, 0.0133654430166014, 0.013367385600790507, 0.013369599132101562, 0.013372117969604119, 0.013374981054396988, 0.013378232297924106, 0.013381920905036355, 0.013386101574131193, 0.013390834493040283, 0.013396185019227982, 0.013402222896083177, 0.013409020814601928, 0.013416652084711456, 0.01342518713956764, 0.013434688571352514, 0.013445204407516665, 0.0134567594095263, 0.013469344347097439, 0.01348290350753213, 0.01349732117114914, 0.013512408419372384, 0.013527892382596482, 0.013543410732362128, 0.013558514625274565, 0.01357268308774001, 0.013585350683956455, 0.013595948110837919, 0.013603952354060615, 0.01360893991939925, 0.013610634465193852, 0.013608939919399245, 0.013603952354060679, 0.01359594811083791, 0.01358535068395645, 0.013572683087740015, 0.01355851462527463, 0.013543410732362114, 0.013527892382596466, 0.013512408419372341, 0.013497321171149114, 0.013482903507532161, 0.013469344347097437, 0.013456759409526314, 0.013445204407516672, 0.013434688571352525, 0.01342518713956763, 0.013416652084711461, 0.013409020814601928, 0.013402222896083173, 0.013396185019227983, 0.013390834493040278, 0.01338610157413119, 0.013381920905036353, 0.013378232297924109, 0.013374981054396983, 0.013372117969604119, 0.013369599132101562, 0.013367385600790503, 0.0133654430166014, 0.013363741188579602, 0.013362253680679257, 0.013360957415917529, 0.013359832307722502, 0.013358860923613299, 0.013358028183215097, 0.013357321090597658, 0.013356728499707034, 0.013356240910994837, 0.01335585029706351, 0.013355549955117119, 0.013355334384150095, 0.01335519918506493, 0.013355140982249006, 0.013355157365541409, 0.013355246851976615, 0.013355408867206616, 0.013355643747091689, 0.013355952760635836, 0.013356338156262375, 0.013356803234430597, 0.013357352450856862, 0.01335799155622535, 0.013358727780396169, 0.013359570071945, 0.013360529407690393, 0.013361619192105788, 0.013362855773801762, 0.013364259116536636, 0.013365853676895459, 0.013367669562068736, 0.013369744072512143, 0.013372123781192922, 0.013374867372615794, 0.013378049575836125, 0.013381766701716362, 0.01338614458035586, 0.013391350170111985, 0.013397608923695271, 0.013405231435187204, 0.013414655525043983, 0.013426514938653647, 0.013441755849013895, 0.013461843432006538, 0.013489147990789992, 0.013527713928179077, 0.01358491479806445, 0.013675379119222449, 0.013831541993226868, 0.014137100744844257, 0.014859306450711561, 0.01711365751228032, 0.023423883549248119, 0.018577245501452348, 0.015068642463165208, 0.014102960970158587, 0.01374799384655179, 0.013584893898855158, 0.01349820476338138, 0.013447301474481263, 0.013415186556230942, 0.013393802020430471, 0.013378953099228699, 0.013368291903118185, 0.013360426136773717, 0.013354490385567235, 0.01334992529828475, 0.01334635723704536, 0.013343529494502557, 0.013341261360269767, 0.01333942289631327, 0.013337918913305779, 0.013336678516384095, 0.013335648121321663, 0.013334786689630302, 0.013334062415477889, 0.013333450382404887, 0.013332930880117642, 0.013332488178274761, 0.013332109621628249, 0.013331784954388852, 0.013331505810262883, 0.013331265323693291, 0.013331057830781094, 0.013330878637266473, 0.013330723837154411, 0.0133305901699485, 0.013330474907582622, 0.013330375764395715, 0.013330290825139696, 0.013330218487222113, 0.013330157414285709, 0.013330106498903604, 0.013330064832682176, 0.013330031682456892, 0.013330006471572269, 0.013329988765477627, 0.013329978261063847, 0.013329974779325036, 0.013329976518943952, 0.01332998175232067, 0.013329990523172004, 0.013330002904885013, 0.013330019001315439, 0.013330038947925411, 0.013330062913281048, 0.013330091100937391, 0.013330123751745568, 0.013330161146625922, 0.013330203609860399, 0.013330251512968998, 0.01333030527924867, 0.013330365389068318, 0.013330432386033039, 0.013330506884152622, 0.013330589576176973, 0.013330681243293643, 0.013330782766422989, 0.013330895139395241, 0.013331019484354154, 0.013331157069806327, 0.013331309331827679, 0.013331477899053784, 0.01333166462222575, 0.013331871609245106, 0.013332101266923031, 0.013332356350903555, 0.01333264002561884, 0.013332955936623037, 0.013333308298285395, 0.013333702000654167, 0.013334142740397247, 0.013334637182180089, 0.013335193158789539, 0.013335819920944812, 0.01333652845132673, 0.01333733186230064, 0.013338245903689077, 0.013339289616634236, 0.013340486183382528, 0.013341864042722263, 0.013343458369912986, 0.013345313063162861, 0.013347483443923346, 0.013350039978411006, 0.013353073484506943, 0.013356702538690887, 0.013361084207323185, 0.013366429913670123, 0.013373029437252557, 0.01338128815147047, 0.013391786493830004, 0.013405378120811559, 0.013423358163245655, 0.013447764618455935, 0.013481946859991134, 0.013531705958142043, 0.013607757548831614, 0.013731552332754464, 0.013950628453022612, 0.014384682001389254, 0.015380494613698427, 0.017915576025967613, 0.021086638048952656, 0.018065914782389409, 0.015518448853620009, 0.014493229406649646, 0.014037272082696782, 0.01380275967120136, 0.013667775892184543, 0.013583310845438099, 0.013527011594575136, 0.01348759993736131, 0.01345891183417789, 0.013437355331038492, 0.013420724990266079, 0.013407606752045954, 0.013397060339635433, 0.013388440821871154, 0.013381293866372716, 0.013375291885107637, 0.013370193809278433, 0.013365819009331124, 0.01336202995010265, 0.013358720391083325, 0.013355807194484063, 0.013353224533112983, 0.013350919726720799, 0.013348850203593922, 0.013346981252619463, 0.013345284339100866, 0.013343735828251709, 0.013342316007301866, 0.013341008328935739, 0.013339798820596268, 0.013338675619369468, 0.013337628602863116, 0.013336649094126683, 0.013335729624165312, 0.013334863739614592, 0.013334045846098123, 0.013333271079985633, 0.013332535202916024, 0.013331834514694177, 0.013331165781119111, 0.013330526174029614, 0.013329913221417576, 0.013329324765898765, 0.013328758930176644, 0.013328214088408443, 0.013327688842601305, 0.013327182003342989, 0.013326692574315001, 0.013326219740155238, 0.013325762857336313, 0.01332532144781114, 0.01332489519525153, 0.01332448394377217, 0.013324087699094154, 0.013323706632161245, 0.013323341085280521, 0.013322991580919373, 0.013322658833354459, 0.013322343763438257, 0.013322047516826974, 0.013321771486103345, 0.013321517337332259, 0.013320907652560139, 0.013320589067798729, 0.013320677829439586, 0.013321354325569131, 0.013322900777924571, 0.013325766964573341, 0.013330689246327748, 0.013338916439823316, 0.01335266362592573, 0.013376090399982471, 0.013417605009629911, 0.013495952614279922, 0.01365901233981783, 0.014056449387548948, 0.015341958506206317, 0.023137656659723154, 0.088700090430271022, 0.021786157326223569, 0.016256003177758396, 0.01491471290324207, 0.014386000480674208, 0.014124396580929894, 0.013979071088712595, 0.013895252680233386, 0.013850353160898186, 0.013835969590350461, 0.013853162044924422, 0.01391517486644607, 0.014064140336902807, 0.014448727616700661, 0.015893203938358962, 0.03311915213064854, 0.01787485668993255, 0.014098806874357096, 0.013618616860295914, 0.013486360006487666, 0.013435724283526468, 0.01341233951509605, 0.01340009279861345, 0.013393046323713661, 0.013388671392312706, 0.013385773262291517, 0.013383741098490597, 0.013382242365640727, 0.01338108636251072, 0.013380158704496629, 0.01337938796278643, 0.013378727829008929, 0.013378147180706297, 0.013377624350565815, 0.013377143719420326, 0.013376693637078611, 0.013376265124239973, 0.013375851045784641, 0.013375445575049149, 0.013375043841361079, 0.013374641695033327, 0.013374235548792345, 0.013373822269576546, 0.013373399103859377, 0.013372963625439237, 0.013372513698336176, 0.013372047449839389, 0.013371563250336879, 0.013371059697624777, 0.013370535604119866, 0.013369989985900436, 0.013369422052851777, 0.013368831199440254, 0.013368216995815915, 0.013367579179068655, 0.013366917644551109, 0.013366232437242427, 0.013365523743168357, 0.013364791880918447, 0.013364037293315976, 0.013363260539301831, 0.013362462286093089, 0.013361643301672116, 0.013360804447653666, 0.013359946672567452, 0.013359071005582127, 0.013358178550685199, 0.013357270481321883, 0.013356348035484838, 0.013355412511237152, 0.013354465262641725, 0.013353507696062767, 0.01335254126679879, 0.013351567476001285, 0.013350587867829561, 0.013349604026789506, 0.013348617575202615, 0.013347630170751044, 0.013346643504044893, 0.013345659296159433, 0.013344679296091786, 0.013343705278089727, 0.013342739038808537, 0.01334178239425592, 0.01334083717648986, 0.013339905230039121, 0.013338988408021904, 0.013338088567944151, 0.013337207567165353, 0.013336347258026397, 0.013335509482641133, 0.013334696067360279, 0.013333908816923749, 0.013333149508324709, 0.013332419884415948, 0.013331721647296154, 0.013331056451520461, 0.013330425897185843, 0.013329831522947734, 0.013329274799029289, 0.01332875712028864, 0.013328279799413029, 0.013327844060310514, 0.013327451031771151, 0.013327101741468981, 0.013326797110374891, 0.013326537947647174, 0.013326324946062748, 0.013326158678046212, 0.013326039592347646, 0.013325968011412172, 0.013325944129475692, 0.013325960051626704, 0.013326007785130213, 0.013326087231241802, 0.013326198225733357, 0.013326340539408271, 0.013326513878815302, 0.013326717887153755, 0.01332695214536081, 0.013327216173369889, 0.013327509431527322, 0.013327831322152968, 0.013328181191229171, 0.013328558330201206, 0.013328961977871192, 0.013329391322367105, 0.013329845503167402, 0.013330323613161868, 0.013330824700728954, 0.013331347771810071, 0.013331891791961592, 0.013332455688365887, 0.013333038351783731, 0.013333638638431126, 0.013334255371765231, 0.013334887344165297, 0.013335533318496628, 0.013336192029547191, 0.01333686218532917, 0.013337542468239896, 0.013338231536079758, 0.013338928022927299, 0.013339630539875431, 0.013340337675636043, 0.0133410479970243, 0.013341760049338057, 0.013342472356652356, 0.013343183422053654, 0.013343891727843634, 0.013344595735747535, 0.013345293887167558, 0.013345984603527539, 0.013346666286760709, 0.013347337319997951, 0.013347996068519564, 0.013348640881038402, 0.013349270091386971, 0.013349882020684548, 0.013350474980062931, 0.013351047274030659, 0.013351597204554644, 0.013352123075935175, 0.013352623200544766, 0.013353095905492562, 0.013353539540264008, 0.013353952485369523, 0.013354333162016173, 0.013354680042792116, 0.013354991663325421, 0.013355266634846786, 0.013355503657549891, 0.013355701534604993, 0.013355859186641074, 0.013355975666471896, 0.01335605017380195, 0.013356082069612888, 0.013356070889900417, 0.013356016358409167, 0.013355918397999855, 0.013355777140282044, 0.013355592933158036, 0.013355366345950422, 0.013355098171827588, 0.01335478942729827, 0.013354441348616247, 0.013354055385017726, 0.013353633188803313, 0.01335317660237075, 0.01335268764239856, 0.01335216848147058, 0.013351621427511876, 0.01335104890147467, 0.013350453413763393, 0.013349837539920703, 0.013349203896107482, 0.013348555114901271, 0.01334789382190903, 0.01334722261364437, 0.01334654403705956, 0.013345860571051723, 0.013345174610185436, 0.013344488450794296, 0.013343804279545264, 0.013343124164475782, 0.013342450048447196, 0.013341783744900615, 0.013341126935754944, 0.013340481171251242, 0.013339847871523147, 0.013339228329659085, 0.013338623716017144, 0.013338035083556942, 0.013337463373962549, 0.013336909424345508, 0.013336373974335663, 0.013335857673388303, 0.013335361088158335, 0.013334884709814414, 0.013334428961187811, 0.013333994203671137, 0.013333580743801272, 0.013333188839477754, 0.013332818705783079, 0.013332470520384337, 0.013332144428506677, 0.013331840547478159, 0.013331558970852872, 0.013331299772124749, 0.013331063008048776, 0.013330848721589206, 0.013330656944515927, 0.01333048769967112, 0.013330341002928145, 0.013330216864863804, 0.013330115292163909, 0.013330036288780133, 0.013329979856853968, 0.01332994599742115, 0.013329934710907111], [0.012731017004698413, 0.012731038063259009, 0.01273110120979417, 0.012731206357051106, 0.012731353360230586, 0.012731542017915357, 0.012731772073360502, 0.012732043216136428, 0.012732355084112849, 0.012732707265769687, 0.012733099302818841, 0.012733530693118823, 0.01273400089386253, 0.012734509325017155, 0.012735055372993897, 0.01273563839452428, 0.012736257720719346, 0.012736912661287462, 0.012737602508886415, 0.012738326543585709, 0.012739084037415218, 0.012739874258976977, 0.012740696478097752, 0.012741549970500997, 0.012742434022477857, 0.012743347935538246, 0.012744291031024433, 0.012745262654670929, 0.012746262181096099, 0.012747289018212579, 0.012748342611544941, 0.012749422448445121, 0.012750528062197406, 0.012751659036006807, 0.012752815006866307, 0.012753995669300477, 0.012755200778985091, 0.012756430156244673, 0.012757683689433032, 0.012758961338204998, 0.012760263136692328, 0.012761589196601997, 0.012762939710262629, 0.012764314953654167, 0.012765715289468287, 0.012767141170263344, 0.012768593141798823, 0.012770071846661745, 0.012771578028333355, 0.012773112535890084, 0.012774676329591788, 0.012776270487684952, 0.012777896214843015, 0.012779554852784723, 0.012781247893759371, 0.012782976997771185, 0.012784744014640578, 0.012786551012275778, 0.012788400312862824, 0.012790294539085775, 0.012792236672973564, 0.012794230130549833, 0.012796278856153994, 0.012798387441129704, 0.012800561272571545, 0.012802806719029128, 0.012805131361557889, 0.012807544280381108, 0.01281005640984665, 0.012812680977561558, 0.012815434047928611, 0.012818335196328749, 0.012821408348694812, 0.012824682833403203, 0.012828194710064491, 0.012831988465633907, 0.012836119206445638, 0.012840655531791903, 0.012845683360869236, 0.012851311117192617, 0.012857676881195892, 0.012864958451232283, 0.012873387791261003, 0.012883272246081573, 0.012895026465244272, 0.012909221766647784, 0.012926664853145347, 0.01294852784847471, 0.01297657211802533, 0.013013552642553874, 0.013063992273606813, 0.013135773106155128, 0.013243710193733053, 0.013418545774881874, 0.013733317116485202, 0.014399268654857748, 0.016250396072851257, 0.024815333565197672, 0.042034040632824017, 0.018080631738815123, 0.014392553704436224, 0.013469446536005935, 0.013125185072375829, 0.012965543564556651, 0.012880879845869064, 0.012831742012578012, 0.012801330254326584, 0.01278158892951641, 0.012768299005291719, 0.012759094984683469, 0.012752576725583258, 0.012747878108060665, 0.012744443408171683, 0.012741904929026741, 0.012740012936630754, 0.012738593966229315, 0.012737525173672458, 0.012736718095411267, 0.012736108103111146, 0.012735647402811662, 0.012735300296245096, 0.012735039918967603, 0.012734845962963075, 0.012734703068656556, 0.012734599681135446, 0.012734527235031757, 0.012734479577702551, 0.012734452570398101, 0.012734443827717764, 0.012734446943523426, 0.012734456343300098, 0.012734472185337754, 0.012734494737533381, 0.012734524383667997, 0.012734561632516087, 0.012734607130130101, 0.012734661675772236, 0.012734726242122718, 0.012734802000587804, 0.012734890352775908, 0.012734992969523422, 0.012735111839257978, 0.012735249328018398, 0.012735408254153521, 0.01273559198166024, 0.012735804537384952, 0.012736050759032122, 0.012736336483284847, 0.012736668786620243, 0.012737056296001097, 0.012737509593153392, 0.012738041745521563, 0.012738669010658522, 0.012739411780997679, 0.01274029586625158, 0.012741354256914857, 0.01274262958420303, 0.01274417760568403, 0.012746072230494515, 0.01274841290458722, 0.012751335699256142, 0.012755030364803285, 0.012759767280312998, 0.012765941380230053, 0.012774146344241228, 0.012785305186053865, 0.012800911561154227, 0.012823502285856315, 0.012857650084866747, 0.012912239478508234, 0.01300629618703837, 0.013186251581467072, 0.013588126688846673, 0.0147278512557453, 0.019028537666169514, 0.022452506342313914, 0.016090355212307204, 0.014138395690960101, 0.013493537474613959, 0.013213409327104138, 0.013067671861997001, 0.012982194967142405, 0.012927658489159352, 0.012890637622935066, 0.01286428745988342, 0.012844819705247717, 0.012829998107664473, 0.012818432176364716, 0.012809219543295587, 0.012801753286716157, 0.012795612624181753, 0.01279049813095751, 0.012786191880911547, 0.012782532112441259, 0.012779396662500848, 0.012776691859437164, 0.012774344908517716, 0.012772298567347191, 0.012770507355851444, 0.012768934815245814, 0.012767551497129952, 0.012766333469274074, 0.012765261192716497, 0.012764318669565986, 0.012763492790878636, 0.012762772834376483, 0.01276215007586581, 0.012761617488088418, 0.012761169507755153, 0.012760801856562552, 0.012760511405680392, 0.01276029607592449, 0.012760154767876088, 0.012760087317768296, 0.012760094476168651, 0.012760177907439343, 0.012760340208721048, 0.012760584947809447, 0.012760916719806382, 0.01276134122284822, 0.012761865353550393, 0.012762497323052865, 0.012763246794691001, 0.012764125044316326, 0.012765145144100742, 0.012766322170201084, 0.01276767343382997, 0.012769218733927735, 0.012770980627559913, 0.012772984711115622, 0.012775259901020391, 0.012777838696587891, 0.012780757399325276, 0.012784056251920899, 0.012787779445720545, 0.012791974927275974, 0.012796693912361412, 0.012801989990146347, 0.012807917672543153, 0.012814530217471455, 0.012821876535952705, 0.012829996991306039, 0.012838917928490243, 0.012848644851597382, 0.012859154319331184, 0.012870384871964527, 0.012882227648135023, 0.012894517780986554, 0.012907028124715567, 0.012919467243826935, 0.012931483732714485, 0.012942678629559837, 0.012952626790608122, 0.012960906576534306, 0.012967135274973262, 0.012971005799441498, 0.012972318984225241, 0.012971005799441498, 0.012967135274973309, 0.012960906576534292, 0.012952626790608117, 0.012942678629559839, 0.012931483732714539, 0.012919467243826921, 0.012907028124715557, 0.012894517780986521, 0.012882227648135007, 0.012870384871964553, 0.012859154319331179, 0.012848644851597396, 0.012838917928490248, 0.012829996991306051, 0.0128218765359527, 0.012814530217471457, 0.012807917672543153, 0.012801989990146343, 0.012796693912361407, 0.012791974927275971, 0.012787779445720543, 0.012784056251920905, 0.012780757399325273, 0.012777838696587889, 0.012775259901020391, 0.012772984711115621, 0.012770980627559913, 0.012769218733927735, 0.012767673433829972, 0.012766322170201086, 0.012765145144100744, 0.012764125044316331, 0.012763246794691006, 0.012762497323052863, 0.012761865353550393, 0.01276134122284822, 0.012760916719806382, 0.012760584947809453, 0.012760340208721048, 0.012760177907439349, 0.012760094476168648, 0.012760087317768294, 0.012760154767876088, 0.01276029607592449, 0.012760511405680391, 0.012760801856562556, 0.012761169507755153, 0.012761617488088422, 0.012762150075865808, 0.012762772834376485, 0.012763492790878629, 0.012764318669565984, 0.012765261192716497, 0.012766333469274065, 0.012767551497129952, 0.012768934815245813, 0.012770507355851442, 0.012772298567347191, 0.012774344908517716, 0.01277669185943716, 0.012779396662500843, 0.012782532112441248, 0.012786191880911544, 0.012790498130957518, 0.012795612624181755, 0.012801753286716155, 0.012809219543295596, 0.012818432176364709, 0.012829998107664494, 0.012844819705247739, 0.012864287459883427, 0.012890637622935065, 0.012927658489159393, 0.012982194967142381, 0.013067671861996998, 0.013213409327104441, 0.01349353747461406, 0.014138395690959739, 0.01609035521230584, 0.022452506342321155, 0.019028537666182982, 0.014727851255745703, 0.013588126688847209, 0.013186251581467088, 0.01300629618703821, 0.012912239478508215, 0.012857650084866697, 0.012823502285856353, 0.012800911561154229, 0.012785305186053895, 0.012774146344241252, 0.012765941380230055, 0.012759767280312998, 0.012755030364803284, 0.012751335699256142, 0.012748412904587218, 0.012746072230494513, 0.012744177605684031, 0.012742629584203032, 0.012741354256914863, 0.01274029586625158, 0.012739411780997675, 0.012738669010658519, 0.01273804174552156, 0.012737509593153385, 0.012737056296001092, 0.012736668786620243, 0.012736336483284844, 0.012736050759032124, 0.012735804537384952, 0.012735591981660237, 0.01273540825415352, 0.012735249328018396, 0.012735111839257978, 0.012734992969523422, 0.012734890352775911, 0.012734802000587802, 0.012734726242122718, 0.012734661675772238, 0.0127346071301301, 0.012734561632516081, 0.012734524383667994, 0.012734494737533379, 0.012734472185337752, 0.012734456343300097, 0.012734446943523424, 0.012734443827717767, 0.012734445384514155, 0.012734450067743368, 0.012734457916059195, 0.012734468994332305, 0.012734483394329902, 0.012734501235683517, 0.012734522667161874, 0.012734547868271134, 0.01273457705121118, 0.012734610463223328, 0.012734648389373007, 0.012734691155819754, 0.012734739133637912, 0.012734792743263668, 0.012734852459659069, 0.012734918818301346, 0.012734992422127056, 0.01273507394958631, 0.012735164163993267, 0.012735263924396865, 0.012735374198241995, 0.01273549607614816, 0.012735630789202425, 0.012735779729250883, 0.012735944472780635, 0.012736126809120261, 0.012736328773857792, 0.01273655268859087, 0.01273680120840009, 0.012737077378788604, 0.012737384704286191, 0.012737727231505774, 0.012738109650211087, 0.012738537416967972, 0.01273901690729628, 0.012739555604036263, 0.01274016233206577, 0.012740847552800416, 0.012741623736436112, 0.012742505836176825, 0.012743511897507718, 0.012744663848092971, 0.012745988531879136, 0.012747519077222326, 0.012749296727663824, 0.012751373322288878, 0.012753814701738569, 0.012756705454768548, 0.012760155640922895, 0.01276431048362207, 0.012769364625704119, 0.012775583563070524, 0.012783336679220538, 0.012793149604632516, 0.012805789892055346, 0.012822412428554499, 0.012844816924393652, 0.012875927089330819, 0.012920736493455471, 0.012988312639813497, 0.013096425217265209, 0.013283424917104939, 0.013642866582316525, 0.014438701402860799, 0.016474640587161311, 0.020312801359909705, 0.018575429732155462, 0.015386672829028359, 0.014081067506264618, 0.013526731487544616, 0.013252261620576604, 0.013098584434454899, 0.013004358155789533, 0.012942514226789045, 0.012899739870187943, 0.01286890357405979, 0.012845915824673319, 0.012828298386795349, 0.012814479493239677, 0.012803423545194729, 0.012794425773968575, 0.012786993041981639, 0.012780771874203884, 0.012775503499712839, 0.012770994916434962, 0.012767099772201087, 0.01276370543331596, 0.012760724053529991, 0.012758086288893321, 0.012755736798867837, 0.012753630975977323, 0.012751732534828303, 0.012750011711637067, 0.012748443903668158, 0.012747008629832876, 0.012745688728604944, 0.012744469733277785, 0.012743339381135718, 0.012742287224737815, 0.012741304321780339, 0.012740382985950522, 0.012739516585507902, 0.012738699379504207, 0.012737926383906376, 0.012737193261647956, 0.012736496231962156, 0.012735831995359971, 0.012735197671391437, 0.012734590746926041, 0.012734009033154232, 0.012733450629877357, 0.012732913895942078, 0.012732397424906063, 0.012731900025207053, 0.012731420704258738, 0.012730958656021182, 0.012730513251698054, 0.012730084033301715, 0.012729670709904994, 0.012729273156467852, 0.012728891415191644, 0.012728525699414977, 0.01272817640012615, 0.012727844095229651, 0.012727529561770624, 0.012727233791393561, 0.012726958009393026, 0.012726703697807103, 0.012726088876540904, 0.012725752250337943, 0.012725799117220575, 0.012726392429026231, 0.012727785571123982, 0.012730378890923145, 0.012734820671596161, 0.012742195566090237, 0.012754395549148072, 0.012774899663914412, 0.012810552898358968, 0.012876073777421315, 0.013007191847238584, 0.01330727583600079, 0.014171282954437788, 0.018133580209749568, 0.074071982011991291, 0.028147584652574151, 0.016762473537136648, 0.01470052332441605, 0.01397923463764029, 0.013644290651499628, 0.013465431329158445, 0.013365239609896887, 0.013313308609359746, 0.013298784901254346, 0.013323543189790359, 0.013406437002523299, 0.013609795547184587, 0.014175694307427274, 0.016775439613228586, 0.048423487796773072, 0.015273059218061125, 0.013318793713720805, 0.012981025474127375, 0.012876734726121835, 0.012834357457949154, 0.012814044135797363, 0.012803122802031542, 0.012796710873030243, 0.012792664147412949, 0.012789946483138658, 0.012788018880131423, 0.012786583795996039, 0.012785468588930758, 0.012784568635657651, 0.012783817981845826, 0.012783173479354081, 0.01278260586958856, 0.012782094600035794, 0.012781624722174915, 0.012781184987508788, 0.012780766652906792, 0.012780362716421348, 0.012779967420161097, 0.012779575922092237, 0.012779184076531416, 0.012778788285602374, 0.012778385397586679, 0.012777972636551567, 0.012777547552966093, 0.012777107988435281, 0.012776652049912319, 0.012776178090228046, 0.012775684692773905, 0.012775170658856173, 0.012774634996712587, 0.012774076911514413, 0.012773495795912292, 0.012772891220851778, 0.012772262926503646, 0.012771610813237853, 0.012770934932628248, 0.012770235478513537, 0.012769512778163811, 0.012768767283614908, 0.01276799956323697, 0.012767210293602163, 0.012766400251710015, 0.012765570307620048, 0.012764721417529811, 0.012763854617325002, 0.01276297101661549, 0.012762071793259567, 0.012761158188367034, 0.012760231501761884, 0.012759293087875889, 0.012758344352036793, 0.01275738674710843, 0.012756421770434767, 0.012755450961036287, 0.012754475897004422, 0.01275349819303827, 0.012752519498067548, 0.012751541492906235, 0.012750565887882797, 0.012749594420395078, 0.012748628852340946, 0.012747670967379466, 0.012746722567981237, 0.012745785472231664, 0.012744861510355988, 0.012743952520940445, 0.012743060346830393, 0.012742186830692398, 0.01274133381023421, 0.012740503113083675, 0.012739696551334775, 0.012738915915776399, 0.012738162969826859, 0.012737439443204589, 0.012736747025372286, 0.012736087358799055, 0.01273546203209101, 0.012734872573046974, 0.012734320441700807, 0.01273380702341621, 0.012733333622103098, 0.012732901453626835, 0.012732511639482705, 0.012732165200807558, 0.012731863052799129, 0.012731605999610698, 0.012731394729784356, 0.012731229812280831, 0.012731111693157137, 0.012731040692935486, 0.012731017004698413, 0.012731032797710422, 0.012731080143980387, 0.012731158945314189, 0.012731269038400725, 0.012731410195326741, 0.01273158212429016, 0.012731784470504564, 0.012732016817285431, 0.012732278687307102, 0.012732569544017499, 0.012732888793196383, 0.012733235784641105, 0.012733609813963218, 0.012734010124477661, 0.012734435909165981, 0.012734886312694199, 0.012735360433465633, 0.012735857325688965, 0.012736376001441889, 0.012736915432711013, 0.012737474553389328, 0.012738052261213431, 0.01273864741962364, 0.012739258859531494, 0.012739885380980769, 0.012740525754689803, 0.012741178723464955, 0.012741843003477499, 0.012742517285398424, 0.012743200235388965, 0.012743890495947036, 0.012744586686613846, 0.012745287404548057, 0.01274599122497906, 0.012746696701555005, 0.012747402366606026, 0.012748106731347533, 0.012748808286053882, 0.01274950550023787, 0.012750196822877188, 0.012750880682734458, 0.012751555488823542, 0.012752219631080152, 0.012752871481300498, 0.012753509394416862, 0.012754131710183345, 0.012754736755348864, 0.012755322846396959, 0.012755888292932989, 0.012756431401798598, 0.012756950481990059, 0.012757443850451564, 0.012757909838805512, 0.012758346801069534, 0.012758753122393785, 0.012759127228831777, 0.012759467598133255, 0.012759772771519181, 0.012760041366365811, 0.01276027208968878, 0.012760463752279079, 0.012760615283302161, 0.01276072574513059, 0.012760794348141122, 0.012760820465171229, 0.012760803645299542, 0.0127607436265922, 0.012760640347444511, 0.012760493956147007, 0.012760304818318286, 0.012760073521875368, 0.01275980087925579, 0.012759487926664223, 0.012759135920188482, 0.012758746328713036, 0.012758320823649714, 0.012757861265600889, 0.012757369688165999, 0.012756848279192838, 0.012756299359856168, 0.012755725362013722, 0.012755128804340167, 0.012754512267770053, 0.012753878370791193, 0.012753229745118413, 0.012752569012247274, 0.012751898761338797, 0.012751221528824103, 0.012750539780044642, 0.01274985589316459, 0.012749172145510594, 0.012748490702414185, 0.012747813608557548, 0.012747142781756562, 0.012746480009057825, 0.012745826944980243, 0.012745185111697158, 0.012744555900931428, 0.012743940577323028, 0.01274334028302521, 0.012742756043289734, 0.012742188772812852, 0.012741639282629731, 0.012741108287364595, 0.012740596412665591, 0.012740104202676478, 0.012739632127419711, 0.012739180589988011, 0.012738749933462119, 0.012738340447491866, 0.012737952374494521, 0.012737585915439831, 0.012737241235203913, 0.012736918467485106, 0.012736617719283841, 0.01273633907495577, 0.012736082599852585, 0.012735848343569247, 0.012735636342818784, 0.012735446623957408, 0.012735279205183294, 0.012735134098432152, 0.012735011310991624, 0.012734910846855223, 0.012734832707834527, 0.012734776894445873, 0.012734743406585411, 0.012734732244003373], [0.012126427522815786, 0.012126448339114261, 0.012126510759217614, 0.01212661469693724, 0.012126760009249506, 0.012126946497226995, 0.012127173907332783, 0.01212744193306832, 0.012127750216963187, 0.012128098352892551, 0.012128485888706183, 0.012128912329150855, 0.012129377139066361, 0.012129879746834004, 0.012130419548055169, 0.012130995909436748, 0.012131608172859598, 0.012132255659605887, 0.01213293767472105, 0.01213365351148633, 0.012134402455978306, 0.012135183791692487, 0.012135996804208859, 0.012136840785878461, 0.012137715040511171, 0.012138618888046361, 0.012139551669189482, 0.012140512749999393, 0.012141501526412697, 0.012142517428693355, 0.012143559925797378, 0.012144628529644531, 0.012145722799290664, 0.012146842344996425, 0.012147986832190146, 0.012149155985325009, 0.012150349591633152, 0.012151567504782202, 0.012152809648443307, 0.012154076019783666, 0.012155366692902018, 0.012156681822231894, 0.012158021645945968, 0.012159386489405627, 0.012160776768713973, 0.012162192994448708, 0.012163635775674912, 0.012165105824368274, 0.012166603960418384, 0.012168131117432208, 0.012169688349621571, 0.012171276840139821, 0.012172897911335152, 0.012174553037516304, 0.012176243860986268, 0.012177972212297715, 0.01217974013592763, 0.012181549922867367, 0.012183404151987785, 0.01218530574247967, 0.012187258020201387, 0.012189264801406254, 0.012191330498093416, 0.012193460250158137, 0.01219566009065101, 0.012197937151850181, 0.012200299921594077, 0.012202758561544206, 0.012205325301946981, 0.012208014931334657, 0.012210845404894855, 0.012213838602610338, 0.012217021278722208, 0.012220426259094549, 0.01222409396491303, 0.012228074373280062, 0.01223242957301978, 0.01223723714582634, 0.012242594712430213, 0.01224862615330464, 0.012255490281917317, 0.012263393182481258, 0.01227260614352289, 0.01228349234559312, 0.012296547622483471, 0.012312464561278776, 0.0123322367128335, 0.012357334648374569, 0.012390017094777956, 0.012433911044095552, 0.012495165812154561, 0.012584940460084267, 0.012725339204061596, 0.012965600714560748, 0.013435195223213349, 0.014572337357481322, 0.018640863945080837, 0.042781017903173901, 0.023310820627924587, 0.014773815347312763, 0.013163250121189152, 0.012643905888581521, 0.012421978602781367, 0.012310175581078626, 0.012247500463028069, 0.012209652381529913, 0.012185520109332659, 0.012169487912862721, 0.012158492947981018, 0.012150761703254246, 0.012145216483165978, 0.012141175898910787, 0.012138194595787308, 0.012135973191496424, 0.012134305530000975, 0.012133046674759614, 0.012132092881201718, 0.012131368724571587, 0.012130818629790038, 0.012130401181402867, 0.012130085231119426, 0.012129847192842326, 0.012129669137910548, 0.012129537439924147, 0.012129441804254666, 0.012129374572328284, 0.012129330226819474, 0.012129305048115479, 0.012129296889187225, 0.01212929970786945, 0.012129308210550065, 0.012129322538175545, 0.012129342929175568, 0.012129369724871648, 0.012129403377316997, 0.012129444459852033, 0.012129493680766898, 0.012129551900590788, 0.012129620153685954, 0.012129699675022546, 0.012129791933262662, 0.012129898671606559, 0.012130021958276321, 0.012130164249066933, 0.012130328465129989, 0.012130518090138341, 0.012130737292307412, 0.012130991078556735, 0.012131285490583277, 0.012131627856076358, 0.01213202711316505, 0.012132494233101381, 0.012133042776136652, 0.012133689630075601, 0.0121344560025051, 0.012135368770051641, 0.012136462337527907, 0.012137781236987383, 0.012139383819423578, 0.012141347591417865, 0.012143777081646576, 0.012146815691791896, 0.012150663992063078, 0.012155608758596512, 0.012162070537858529, 0.012170684443413632, 0.012182443335637035, 0.0121989645248384, 0.012223017107291009, 0.012259643224865401, 0.012318767820384385, 0.012422016817793213, 0.012623459376452475, 0.013087197837198056, 0.014468473160312511, 0.019812617535241502, 0.02100551223592715, 0.015069817587163029, 0.013409343469394357, 0.012839399609331122, 0.012584621813291685, 0.012449516882373038, 0.01236921647526132, 0.012317484559234341, 0.012282109455488306, 0.012256786588568895, 0.012237992452992605, 0.012223630729554014, 0.012212389533630862, 0.012203412936688991, 0.012196122638938375, 0.012190116146180936, 0.012185106088679058, 0.012180882705789021, 0.01217728990161982, 0.012174209530053061, 0.012171550823713267, 0.012169243125938629, 0.012167230795219905, 0.01216546956973668, 0.012163923932602667, 0.012162565175317393, 0.012161369956420235, 0.012160319216749564, 0.012159397355190022, 0.012158591597297565, 0.012157891508629871, 0.012157288618064843, 0.01215677612583509, 0.012156348677727385, 0.012156002191741377, 0.012155733727039703, 0.012155541387638916, 0.01215542425525178, 0.012155382347180541, 0.012155416596306574, 0.012155528851112936, 0.012155721894376494, 0.01215599947971549, 0.012156366385603686, 0.012156828486774855, 0.012157392843141523, 0.012158067806426006, 0.012158863144622991, 0.012159790184136291, 0.012160861968893858, 0.012162093434854014, 0.012163501596951627, 0.012165105743536698, 0.012166927630528707, 0.012168991663598978, 0.012171325051406494, 0.012173957905921233, 0.012176923256838064, 0.012180256935731488, 0.012183997271799639, 0.012188184524991369, 0.012192859964780733, 0.012198064485571715, 0.012203836635828393, 0.012210209932645859, 0.012217209344196628, 0.012224846859591817, 0.012233116141676844, 0.012241986386025572, 0.012251395698333166, 0.012261244552091675, 0.012271390179785371, 0.012281643036923952, 0.012291766678792322, 0.012301482396327158, 0.012310479655949015, 0.012318432702104455, 0.012325022628208606, 0.01232996295939892, 0.0123330256204743, 0.012334063463119379, 0.012333025620474296, 0.012329962959398963, 0.012325022628208592, 0.012318432702104446, 0.012310479655949016, 0.012301482396327194, 0.012291766678792313, 0.012281643036923943, 0.012271390179785343, 0.012261244552091656, 0.012251395698333186, 0.012241986386025574, 0.01223311614167685, 0.012224846859591822, 0.012217209344196636, 0.012210209932645853, 0.012203836635828394, 0.012198064485571709, 0.012192859964780733, 0.012188184524991369, 0.012183997271799632, 0.012180256935731491, 0.012176923256838064, 0.012173957905921236, 0.01217132505140649, 0.012168991663598982, 0.012166927630528708, 0.012165105743536696, 0.012163501596951627, 0.012162093434854018, 0.012160861968893856, 0.012159790184136291, 0.012158863144622991, 0.012158067806426006, 0.012157392843141523, 0.012156828486774855, 0.012156366385603678, 0.01215599947971549, 0.012155721894376496, 0.012155528851112939, 0.012155416596306572, 0.012155382347180539, 0.012155424255251781, 0.012155541387638918, 0.012155733727039698, 0.012156002191741377, 0.012156348677727389, 0.012156776125835093, 0.012157288618064845, 0.012157891508629871, 0.012158591597297562, 0.012159397355190022, 0.012160319216749564, 0.012161369956420235, 0.012162565175317388, 0.012163923932602667, 0.012165469569736678, 0.012167230795219901, 0.012169243125938624, 0.012171550823713267, 0.012174209530053055, 0.012177289901619814, 0.012180882705789011, 0.012185106088679053, 0.012190116146180943, 0.012196122638938371, 0.012203412936688989, 0.012212389533630876, 0.012223630729554005, 0.012237992452992627, 0.012256786588568934, 0.012282109455488322, 0.012317484559234336, 0.012369216475261378, 0.012449516882372993, 0.012584621813291678, 0.012839399609331665, 0.013409343469394534, 0.015069817587162046, 0.021005512235924301, 0.019812617535233685, 0.014468473160316629, 0.013087197837198236, 0.012623459376452709, 0.012422016817793233, 0.012318767820384286, 0.012259643224865391, 0.01222301710729097, 0.012198964524838424, 0.012182443335637033, 0.012170684443413649, 0.012162070537858543, 0.012155608758596519, 0.01215066399206308, 0.012146815691791889, 0.012143777081646576, 0.012141347591417863, 0.012139383819423578, 0.012137781236987383, 0.012136462337527907, 0.012135368770051643, 0.0121344560025051, 0.012133689630075595, 0.012133042776136652, 0.012132494233101381, 0.012132027113165049, 0.012131627856076358, 0.012131285490583272, 0.012130991078556733, 0.012130737292307412, 0.012130518090138345, 0.012130328465129988, 0.012130164249066934, 0.012130021958276319, 0.012129898671606559, 0.012129791933262662, 0.01212969967502254, 0.012129620153685952, 0.012129551900590783, 0.012129493680766896, 0.012129444459852031, 0.012129403377316999, 0.012129369724871643, 0.012129342929175564, 0.012129322538175547, 0.012129308210550067, 0.01212929970786945, 0.012129296889187229, 0.012129298297541637, 0.012129302534027435, 0.01212930963302687, 0.012129319652227482, 0.012129332673204485, 0.012129348802249522, 0.012129368171459768, 0.012129390940105844, 0.012129417296301853, 0.012129447459006992, 0.012129481680393947, 0.012129520248627249, 0.012129563491103064, 0.012129611778211898, 0.012129665527697798, 0.012129725209701426, 0.012129791352591419, 0.012129864549708391, 0.012129945467170458, 0.012130034852918482, 0.012130133547214981, 0.012130242494854724, 0.012130362759398442, 0.012130495539807632, 0.01213064218994055, 0.012130804241471605, 0.01213098343092469, 0.012131181731671577, 0.012131401391950365, 0.012131644980217574, 0.012131915439478697, 0.012132216152667852, 0.012132551021699219, 0.012132924563532403, 0.01213334202753902, 0.012133809539708884, 0.012134334280902492, 0.012134924708601565, 0.012135590834656814, 0.012136344575707878, 0.012137200198732623, 0.012138174892273717, 0.012139289505347059, 0.012140569512458073, 0.012142046287009624, 0.01214375880054553, 0.012145755917904908, 0.012148099538482416, 0.012150868958011714, 0.01215416702178242, 0.012158128957902034, 0.012162935305449549, 0.012168831247620806, 0.012176156228960962, 0.012185390578558591, 0.012197231208396218, 0.012212718951246329, 0.012233461727712306, 0.012262044861859825, 0.012302829516779046, 0.012363615719207648, 0.012459404636045942, 0.012621819129082725, 0.0129258063355671, 0.013576674653752995, 0.015211885656369589, 0.019019337968430177, 0.019093162920741952, 0.015339207043651534, 0.013687174156414737, 0.013015190368225618, 0.012695068484503573, 0.012520786105646615, 0.012416089077637889, 0.012348421620409706, 0.012302174591590226, 0.012269150594752243, 0.012244722513558227, 0.012226122036280037, 0.012211611927059008, 0.012200057705076383, 0.012190693136014358, 0.012182985562417401, 0.012176555345552585, 0.012171125944907437, 0.012166492015345273, 0.01216249845836803, 0.012159026331473808, 0.012155983164765287, 0.012153296176773083, 0.012150907438011636, 0.012148770368198912, 0.012146847162617463, 0.012145106876108426, 0.01214352397932646, 0.012142077258691814, 0.012140748969578057, 0.012139524178227562, 0.012138390245822911, 0.012137336420702416, 0.012136353513614039, 0.01213543363729052, 0.012134569996260969, 0.012133756716208062, 0.012132988704690015, 0.012132261536920215, 0.012131571361707937, 0.0121309148237345, 0.012130288999158481, 0.012129691342175709, 0.012129119640650865, 0.012128571979322099, 0.012128046709383897, 0.012127542423495384, 0.012127057935455774, 0.012126592263946736, 0.012126144619871824, 0.012125714396931992, 0.012125301165168873, 0.01212490466728864, 0.012124524817651345, 0.012124161703877891, 0.012123815591090357, 0.012123486928864802, 0.012123176361040809, 0.012122884738600532, 0.012122613135905791, 0.012122362870665877, 0.012121757468701295, 0.012121421007225103, 0.012121449316247705, 0.012121990364018431, 0.012123272888509123, 0.012125655257876454, 0.012129711599850504, 0.012136389970290888, 0.012147317717930907, 0.012165428203477591, 0.012196348319388744, 0.012251780528276687, 0.01235885621387107, 0.012590920998071027, 0.01319869530885733, 0.015471899499591482, 0.03565386821835629, 0.046697606984107791, 0.01808392570576263, 0.014652263960605968, 0.013626855716209606, 0.013186399599492313, 0.012961860236186978, 0.012840164092631745, 0.012779346877838181, 0.012765103400315714, 0.012800633674033189, 0.012913485553629247, 0.013199355009168717, 0.014077410111337478, 0.019438818522837357, 0.030974590106631752, 0.013730524280877728, 0.012590797275928958, 0.012343999327266932, 0.012260196516157779, 0.012224292623608142, 0.012206475731444627, 0.01219665144610022, 0.012190767747405972, 0.012186993039064578, 0.012184422939236467, 0.012182578966628254, 0.012181193299466627, 0.012180108683307107, 0.012179228800795095, 0.01217849232870164, 0.012177858763715847, 0.012177300381566256, 0.012176797525661096, 0.012176335768091157, 0.012175904156532327, 0.012175494108276057, 0.012175098699306374, 0.012174712199749048, 0.012174329765905807, 0.012173947233468822, 0.012173560977045689, 0.012173167813647889, 0.012172764935581098, 0.012172349863105867, 0.012171920410412887, 0.012171474660538625, 0.012171010946233215, 0.012170527834730653, 0.012170024115016284, 0.012169498786635275, 0.012168951049402799, 0.012168380293601649, 0.012167786090413664, 0.012167168182445946, 0.012166526474293516, 0.01216586102313549, 0.012165172029398602, 0.012164459827543968, 0.012163724877044584, 0.012162967753623938, 0.012162189140823758, 0.012161389821961166, 0.012160570672526103, 0.012159732653057526, 0.012158876802524633, 0.012158004232226172, 0.012157116120208802, 0.012156213706193493, 0.012155298286988796, 0.01215437121236013, 0.012153433881316776, 0.012152487738771455, 0.012151534272522376, 0.012150575010504004, 0.012149611518250033, 0.012148645396511054, 0.012147678278968703, 0.012146711829989247, 0.012145747742360715, 0.012144787734960272, 0.012143833550301603, 0.012142886951915559, 0.012141949721522001, 0.012141023655955159, 0.012140110563810581, 0.012139212261787193, 0.012138330570704365, 0.0121374673111804, 0.012136624298965623, 0.012135803339930555, 0.012135006224716799, 0.012134234723065853, 0.01213349057784841, 0.012132775498824152, 0.012132091156169332, 0.012131439173816105, 0.012130821122654335, 0.01213023851365224, 0.012129692790957547, 0.012129185325045033, 0.012128717405979877, 0.01212829023686816, 0.01212790492756729, 0.012127562488728613, 0.012127263826243078, 0.012127009736157936, 0.012126800900128168, 0.012126637881460987, 0.012126521121804941, 0.012126450938527433, 0.012126427522815786, 0.012126443134134737, 0.01212648993563371, 0.01212656783004269, 0.012126676655589334, 0.012126816186511628, 0.01212698613376823, 0.012127186145938957, 0.012127415810306135, 0.012127674654105625, 0.012127962145934635, 0.012128277697301836, 0.012128620664304006, 0.012128990349412125, 0.012129386003348938, 0.012129806827039158, 0.012130251973612952, 0.012130720550443041, 0.01213121162119552, 0.012131724207874848, 0.012132257292843575, 0.012132809820798137, 0.012133380700682907, 0.012133968807525607, 0.012134572984178698, 0.01213519204295278, 0.012135824767129967, 0.01213646991234699, 0.012137126207840566, 0.01213779235754946, 0.01213846704107119, 0.012139148914473796, 0.012139836610966901, 0.012140528741439831, 0.012141223894878308, 0.012141920638675845, 0.012142617518860286, 0.012143313060260896, 0.012144005766646458, 0.012144694120870304, 0.012145376585063844, 0.012146051600925637, 0.012146717590159242, 0.01214737295511847, 0.012148016079724445, 0.012148645330723889, 0.012149259059362745, 0.01214985560355286, 0.012150433290612012, 0.012150990440658644, 0.01215152537074171, 0.012152036399782995, 0.012152521854403228, 0.012152980075694406, 0.012153409426988072, 0.012153808302652691, 0.012154175137932844, 0.012154508419817606, 0.012154806698896566, 0.01215506860212846, 0.01215529284641061, 0.012155478252797927, 0.012155623761178937, 0.012155728445175136, 0.012155791526990001, 0.012155812391897978, 0.012155790602033154, 0.012155725909115211, 0.012155618265737946, 0.012155467834846322, 0.012155274997042224, 0.012155040355388823, 0.012154764737428608, 0.012154449194190167, 0.012154094996033073, 0.01215370362526484, 0.012153276765557566, 0.012152816288288531, 0.012152324236025899, 0.012151802803471801, 0.012151254316256081, 0.012150681208041584, 0.012150085996450632, 0.012149471258352241, 0.012148839605057237, 0.012148193657955506, 0.012147536025096467, 0.012146869279163058, 0.012146195937225133, 0.012145518442582706, 0.012144839148928924, 0.012144160306979521, 0.012143484053635144, 0.012142812403667524, 0.012142147243853874, 0.012141490329426958, 0.012140843282662966, 0.012140207593395499, 0.012139584621221776, 0.0121389755991554, 0.012138381638477892, 0.01213780373454685, 0.012137242773331091, 0.012136699538459981, 0.012136174718594905, 0.012135668914953308, 0.012135182648839199, 0.012134716369057393, 0.012134270459111208, 0.012133845244104383, 0.012133440997287359, 0.012133057946205044, 0.01213269627841837, 0.012132356146784675, 0.012132037674292688, 0.012131740958456632, 0.012131466075280834, 0.01213121308281135, 0.012130982024294985, 0.012130772930968464, 0.012130585824501819, 0.012130420719120428, 0.012130277623429773, 0.012130156541965826, 0.01213005747649233, 0.012129980427064277, 0.0121299253928742, 0.012129892372895556, 0.012129881366334104], [0.011512150913096425, 0.011512171365487593, 0.011512232694431097, 0.011512334815424125, 0.011512477588251132, 0.011512660817912752, 0.011512884255916773, 0.011513147601921776, 0.011513450505721655, 0.011513792569556845, 0.011514173350736151, 0.01151459236455098, 0.011515049087462278, 0.011515542960539023, 0.011516073393126085, 0.011516639766718179, 0.011517241439016435, 0.011517877748143517, 0.011518548016993289, 0.011519251557691432, 0.01151998767614364, 0.011520755676649033, 0.011521554866557206, 0.011522384560948541, 0.011523244087318739, 0.011524132790250018, 0.011525050036052975, 0.011525995217364937, 0.011526967757692318, 0.011527967115886535, 0.011528992790544829, 0.011530044324329705, 0.011531121308202406, 0.011532223385568587, 0.011533350256336367, 0.011534501680889818, 0.011535677483983913, 0.011536877558570168, 0.011538101869566494, 0.011539350457589463, 0.011540623442673328, 0.011541921028007603, 0.011543243503734764, 0.011544591250861738, 0.011545964745354796, 0.011547364562507701, 0.011548791381699028, 0.011550245991688189, 0.011551729296642516, 0.011553242323142459, 0.011554786228481455, 0.011556362310664812, 0.011557972020622677, 0.011559616977290306, 0.011561298986381642, 0.011563020063895863, 0.011564782465660001, 0.011566588724534754, 0.011568441697305386, 0.011570344623761292, 0.011572301201052015, 0.011574315677116873, 0.011576392967847203, 0.011578538803692341, 0.011580759912715323, 0.01158306424871668, 0.011585461275085758, 0.011587962317671235, 0.011590581003432323, 0.011593333806305171, 0.011596240728144944, 0.011599326151606762, 0.011602619914643661, 0.011606158674794743, 0.011609987658455244, 0.011614162930250811, 0.011618754377368763, 0.011623849694254026, 0.011629559792505344, 0.01163602627938554, 0.011643431998223172, 0.011652016197469917, 0.011662096860884111, 0.011674104407572942, 0.011688633981376284, 0.011706529169792335, 0.011729020958671699, 0.011757968238536734, 0.011796295205987099, 0.011848835562669316, 0.011924084776393409, 0.012038184384874202, 0.012225115145263938, 0.01256726580462799, 0.013310466361629823, 0.015479145249995592, 0.026558597135481206, 0.0382226375780646, 0.016218330040176969, 0.013049609013486008, 0.012214433006848623, 0.011893465561756515, 0.011741724566763338, 0.011660126367985111, 0.011612249512781069, 0.011582345919514929, 0.011562776039048567, 0.011549501571639897, 0.01154024096605508, 0.01153363492808567, 0.011528837786175802, 0.011525304146819423, 0.011522671447104896, 0.011520692352825256, 0.011519194340582574, 0.011518054727943629, 0.011517184801146758, 0.011516519470440235, 0.011516010378004475, 0.011515621216174363, 0.011515324492477568, 0.011515099261186346, 0.011514929512899976, 0.011514803020392161, 0.011514710506702289, 0.0115146450453683, 0.011514601631790475, 0.011514576884453386, 0.011514568848531045, 0.011514571450846424, 0.011514579299722345, 0.011514592521857152, 0.011514611331475614, 0.011514636035029739, 0.0115146670380048, 0.011514704854068983, 0.011514750116893919, 0.011514803595079604, 0.011514866210747248, 0.011514939062525716, 0.011515023453862384, 0.011515120927851546, 0.011515233310112755, 0.01151536276169445, 0.011515511844561038, 0.01151568360299602, 0.011515881665291536, 0.011516110371497157, 0.011516374934915447, 0.011516681647670052, 0.011517038144346341, 0.011517453742878174, 0.011517939889225889, 0.011518510743027018, 0.011519183956959656, 0.011519981725652252, 0.011520932214800727, 0.011522071534590514, 0.011523446505063779, 0.011525118594397612, 0.011527169628694933, 0.011529710236127035, 0.011532892614985473, 0.011536930327446399, 0.011542129864666186, 0.011548942635496481, 0.011558053842753144, 0.011570541165007062, 0.011588172991036455, 0.011614004539596731, 0.011653662553249511, 0.011718387106158447, 0.011833159376012196, 0.012062199456666867, 0.012608584916295585, 0.014331774333307875, 0.020937759030309963, 0.019232797257764434, 0.014069522314481768, 0.012675563312631742, 0.012175833447184708, 0.011945628668151296, 0.011821097314104551, 0.011746047132152994, 0.011697205721732731, 0.011663550381892861, 0.011639314458434699, 0.011621241439607861, 0.011607377626743907, 0.011596491998829587, 0.011587776795081228, 0.011580683624726265, 0.011574829236042011, 0.011569939025466332, 0.011565811932995756, 0.01156229793583014, 0.01155928321875241, 0.011556680163721621, 0.011554420445838549, 0.011552450179495672, 0.011550726446728275, 0.011549214775567711, 0.011547887282938768, 0.011546721290008981, 0.01154569827851374, 0.011544803096668999, 0.011544023350251214, 0.011543348932855132, 0.011542771662123606, 0.011542284997734426, 0.011541883823336381, 0.011541564279250884, 0.011541323636133662, 0.011541160202288686, 0.011541073259193639, 0.011541063021206945, 0.011541130616500946, 0.011541278087087506, 0.011541508406427991, 0.011541825513584986, 0.011542234363198768, 0.01154274099076332, 0.011543352592727169, 0.011544077620833308, 0.011544925889802946, 0.011545908696907921, 0.011547038951091528, 0.011548331307991532, 0.011549802305367438, 0.011551470490885679, 0.011553356530790357, 0.011555483283483006, 0.011557875816245891, 0.011560561336089877, 0.011563568996893021, 0.011566929534697309, 0.011570674671637568, 0.011574836217390643, 0.011579444786925857, 0.01158452804746652, 0.011590108410089551, 0.011596200098055048, 0.011602805562043532, 0.011609911280087197, 0.011617483084380081, 0.011625461301757617, 0.011633756174537992, 0.011642244224905934, 0.011650766401724199, 0.011659128946240434, 0.011667107861579221, 0.011674457602778517, 0.011680924084254824, 0.011686261360148602, 0.011690250488714552, 0.011692718346397735, 0.011693553747920925, 0.011692718346397733, 0.011690250488714585, 0.011686261360148595, 0.011680924084254821, 0.011674457602778514, 0.011667107861579255, 0.011659128946240424, 0.011650766401724192, 0.011642244224905915, 0.011633756174537978, 0.011625461301757633, 0.011617483084380077, 0.011609911280087206, 0.011602805562043537, 0.011596200098055055, 0.011590108410089544, 0.011584528047466524, 0.011579444786925854, 0.011574836217390638, 0.011570674671637563, 0.011566929534697307, 0.011563568996893021, 0.011560561336089873, 0.011557875816245896, 0.011555483283483005, 0.01155335653079036, 0.011551470490885679, 0.011549802305367438, 0.011548331307991528, 0.011547038951091526, 0.011545908696907919, 0.011544925889802944, 0.011544077620833306, 0.011543352592727169, 0.01154274099076332, 0.011542234363198768, 0.011541825513584984, 0.011541508406427989, 0.011541278087087508, 0.011541130616500949, 0.011541063021206952, 0.011541073259193641, 0.011541160202288686, 0.011541323636133661, 0.011541564279250884, 0.011541883823336379, 0.011542284997734423, 0.011542771662123606, 0.011543348932855132, 0.011544023350251214, 0.011544803096668999, 0.011545698278513735, 0.011546721290008978, 0.011547887282938766, 0.011549214775567708, 0.011550726446728273, 0.011552450179495671, 0.011554420445838541, 0.011556680163721619, 0.011559283218752405, 0.01156229793583013, 0.011565811932995754, 0.01156993902546632, 0.011574829236042007, 0.011580683624726272, 0.011587776795081229, 0.011596491998829585, 0.011607377626743921, 0.011621241439607856, 0.011639314458434729, 0.011663550381892903, 0.011697205721732743, 0.011746047132152984, 0.011821097314104629, 0.011945628668151236, 0.012175833447184706, 0.012675563312632808, 0.014069522314482365, 0.019232797257760146, 0.020937759030312642, 0.014331774333304936, 0.012608584916297065, 0.012062199456666915, 0.011833159376012313, 0.011718387106158457, 0.01165366255324945, 0.011614004539596724, 0.011588172991036429, 0.011570541165007079, 0.011558053842753142, 0.011548942635496495, 0.011542129864666198, 0.011536930327446397, 0.011532892614985477, 0.011529710236127031, 0.011527169628694935, 0.01152511859439761, 0.011523446505063777, 0.011522071534590516, 0.01152093221480072, 0.011519981725652252, 0.011519183956959661, 0.011518510743027018, 0.011517939889225885, 0.011517453742878167, 0.011517038144346337, 0.01151668164767005, 0.011516374934915445, 0.011516110371497155, 0.011515881665291538, 0.011515683602996022, 0.011515511844561037, 0.01151536276169445, 0.011515233310112753, 0.011515120927851544, 0.011515023453862384, 0.011514939062525717, 0.011514866210747248, 0.011514803595079604, 0.011514750116893919, 0.011514704854068981, 0.0115146670380048, 0.011514636035029738, 0.011514611331475612, 0.011514592521857148, 0.011514579299722345, 0.011514571450846426, 0.011514568848531047, 0.011514570148798996, 0.011514574059843774, 0.011514580612487139, 0.011514589858430204, 0.01151460187075627, 0.011514616744645998, 0.011514634598316488, 0.011514655574199586, 0.011514679840378898, 0.011514707592309622, 0.011514739054850646, 0.011514774484644162, 0.011514814172885359, 0.011514858448532641, 0.011514907682018375, 0.011514962289531635, 0.011515022737957683, 0.011515089550574965, 0.011515163313629794, 0.0115152446839319, 0.011515334397642241, 0.011515433280458639, 0.011515542259446537, 0.01151566237681329, 0.011515794805987739, 0.011515940870444588, 0.01151610206581064, 0.011516280085911088, 0.011516476853566783, 0.011516694557146073, 0.01151693569411933, 0.011517203123177085, 0.01151750012687414, 0.011517830487281595, 0.011518198577805065, 0.011518609475214379, 0.011519069097101705, 0.011519584371545323, 0.011520163447851286, 0.011520815960083275, 0.011521553358971721, 0.011522389333154064, 0.011523340348181249, 0.011524426342293411, 0.011525671633073395, 0.011527106110965952, 0.011528766827791163, 0.011530700136322422, 0.011532964609705073, 0.011535635081754399, 0.011538808325950289, 0.01154261117536884, 0.011547212354361106, 0.011552840085186911, 0.011559808912347551, 0.011568561668385244, 0.011579737132974968, 0.011594282935194943, 0.011613651590445718, 0.011640157044632039, 0.011677659645066075, 0.011732971178046243, 0.011818975411672884, 0.011962269761320039, 0.012224270462197576, 0.012768368283981171, 0.014098647750370992, 0.017523725832569132, 0.019431619414493118, 0.015384985217122213, 0.013314820281227855, 0.012503037154624188, 0.012131057645474634, 0.011934206342269387, 0.011818354701383937, 0.011744616464983986, 0.01169481250270572, 0.011659580823396841, 0.011633718152236384, 0.011614150189010176, 0.011598967459195267, 0.011586933718488729, 0.01157722009886995, 0.011569254022968377, 0.011562629630369844, 0.011557052698533004, 0.011552305680857203, 0.011548224885985907, 0.011544685209339534, 0.011541589690041187, 0.011538862225739001, 0.011536442399069813, 0.011534281743915993, 0.011532341010884449, 0.011530588137532568, 0.011528996723052744, 0.01152754486899305, 0.011526214288929179, 0.011524989618064269, 0.011523857873062619, 0.011522808025919122, 0.011521830665209461, 0.011520917724893411, 0.011520062265782786, 0.01151925829839527, 0.011518500638579881, 0.011517784789284415, 0.011517106843326453, 0.011516463403159816, 0.011515851514491502, 0.011515268611268793, 0.011514712470072082, 0.011514181172352339, 0.011513673073270081, 0.011513186776145996, 0.0115127211117362, 0.011512275121710399, 0.011511848045846798, 0.01151143931257103, 0.011511048532562847, 0.011510675495238451, 0.011510320167991644, 0.011509982698146159, 0.011509663417638323, 0.011509362850514498, 0.011509081723395527, 0.011508820979131829, 0.011508581793951176, 0.011508009328696354, 0.01150770099518408, 0.011507744696500684, 0.011508275864075811, 0.011509502604798971, 0.011511748189482234, 0.011515524997204629, 0.011521668210603905, 0.011531589135738917, 0.011547783368625299, 0.011574924385723903, 0.011622434269045488, 0.011711259229640759, 0.011894714554542614, 0.012338605121915249, 0.01376022220838596, 0.022163972384165256, 0.093059204932213244, 0.021287837488978244, 0.014899095139948412, 0.013362166567412417, 0.012763791721093647, 0.012475211423428428, 0.012324611463937441, 0.012252353045663066, 0.012239130772652219, 0.012290345763702816, 0.012447520367661143, 0.012864399559468099, 0.014327029111497152, 0.027596909213036917, 0.019303712161735456, 0.012614672596245553, 0.011890993636433072, 0.011704765613361824, 0.011636189283113607, 0.011605361866573283, 0.011589552319598146, 0.01158061549077518, 0.011575154955153568, 0.011571592642581391, 0.011569132801259135, 0.011567347263634118, 0.01156599295503279, 0.011564925371755142, 0.011564055001344307, 0.01156332424428359, 0.011562694665490418, 0.011562139693329056, 0.011561640306030756, 0.011561182413019675, 0.011560755226940675, 0.011560350230238959, 0.011559960507009271, 0.011559580303981323, 0.011559204737923748, 0.011558829598133126, 0.011558451211527409, 0.011558066349421492, 0.011557672162285386, 0.011557266133381167, 0.011556846045150055, 0.01155640995417999, 0.011555956171895145, 0.01155548324900073, 0.011554989962332105, 0.011554475303188372, 0.011553938466536018, 0.011553378840685892, 0.011552795997203198, 0.011552189680921365, 0.01155155980000923, 0.011550906416095054, 0.011550229734485896, 0.011549530094542359, 0.01154880796027891, 0.011548063911262356, 0.011547298633877424, 0.011546512913020487, 0.011545707624271862, 0.011544883726584437, 0.011544042255513665, 0.011543184317000165, 0.01154231108170406, 0.011541423779877659, 0.011540523696752993, 0.011539612168411003, 0.011538690578091461, 0.011537760352896189, 0.011536822960833156, 0.011535879908145403, 0.011534932736866356, 0.01153398302254189, 0.011533032372059448, 0.011532082421525295, 0.011531134834132754, 0.011530191297966759, 0.01152925352369322, 0.011528323242085584, 0.011527402201345349, 0.011526492164178155, 0.011525594904592505, 0.011524712204394157, 0.011523845849355129, 0.011522997625043233, 0.01152216931230458, 0.011521362682399014, 0.011520579491795477, 0.011519821476641949, 0.011519090346932005, 0.011518387780397529, 0.011517715416164257, 0.011517074848213873, 0.011516467618702789, 0.011515895211193679, 0.011515359043861119, 0.011514860462736944, 0.011514400735064441, 0.011513981042832635, 0.011513602476563245, 0.011513266029422538, 0.011512972591728808, 0.011512722945923513, 0.011512517762069832, 0.011512357593936842, 0.011512242875721033, 0.011512173919449002, 0.011512150913096425, 0.011512166251493931, 0.011512212234758431, 0.011512288767208462, 0.011512395689715623, 0.011512532780211892, 0.011512699754392374, 0.011512896266606107, 0.011513121910925593, 0.01151337622238389, 0.011513658678366411, 0.011513968700142959, 0.011514305654524253, 0.011514668855625942, 0.011515057566722071, 0.011515471002169365, 0.011515908329382924, 0.011516368670843678, 0.011516851106117967, 0.011517354673869523, 0.011517878373844721, 0.01151842116881235, 0.011518981986440267, 0.011519559721092131, 0.011520153235528895, 0.011520761362501172, 0.011521382906220607, 0.011522016643700094, 0.011522661325955363, 0.011523315679062675, 0.01152397840507049, 0.011524648182765773, 0.01152532366829916, 0.011526003495676968, 0.011526686277131607, 0.011527370603386728, 0.011528055043837587, 0.011528738146672249, 0.011529418438964281, 0.011530094426772979, 0.011530764595292937, 0.011531427409100244, 0.011532081312548856, 0.011532724730375988, 0.011533356068581288, 0.011533973715649636, 0.011534576044192002, 0.011535161413082475, 0.011535728170172245, 0.011536274655662211, 0.011536799206215038, 0.011537300159884337, 0.01153777586193248, 0.011538224671599586, 0.011538644969873323, 0.011539035168292411, 0.011539393718795922, 0.011539719124605028, 0.011540009952094255, 0.011540264843575822, 0.011540482530883276, 0.011540661849600746, 0.011540801753742782, 0.011540901330648005, 0.0115409598158099, 0.011540976607331849, 0.011540951279663125, 0.011540883596250714, 0.01154077352073013, 0.011540621226279807, 0.011540427102778793, 0.011540191761438614, 0.011539916036626277, 0.011539600984657431, 0.01153924787941378, 0.011538858204725356, 0.011538433643552752, 0.011537976064102192, 0.011537487503103516, 0.011536970146572595, 0.011536426308460144, 0.011535858407655742, 0.011535268943863208, 0.011534660472891764, 0.01153403558191296, 0.01153339686521827, 0.011532746900976684, 0.011532088229439014, 0.011531423332968849, 0.011530754618203427, 0.011530084400565422, 0.011529414891263167, 0.011528748186835714, 0.011528086261224034, 0.011527430960283486, 0.011526783998596572, 0.011526146958400683, 0.011525521290413251, 0.011524908316315519, 0.011524309232646187, 0.011523725115854953, 0.01152315692827347, 0.011522605524774165, 0.011522071659905847, 0.011521555995316134, 0.011521059107293905, 0.011520581494289027, 0.011520123584290018, 0.01151968574196314, 0.011519268275477217, 0.011518871442957958, 0.011518495458532268, 0.011518140497937954, 0.011517806703686897, 0.011517494189779902, 0.011517203045980143, 0.011516933341658602, 0.011516685129229709, 0.011516458447199042, 0.011516253322847086, 0.011516069774574055, 0.011515907813931107, 0.011515767447362619, 0.01151564867768293, 0.011515551505309243, 0.011515475929270226, 0.011515421948007188, 0.01151538955998223, 0.011515378764104413], [0.010902448489097539, 0.010902468566424841, 0.010902528770757165, 0.010902629019332335, 0.010902769174834095, 0.010902949046318292, 0.010903168390500064, 0.010903426913392579, 0.01090372427228555, 0.010904060078049378, 0.010904433897748769, 0.010904845257547728, 0.010905293645886213, 0.01090577851690744, 0.010906299294113657, 0.010906855374227385, 0.010907446131234722, 0.01090807092058688, 0.010908729083536347, 0.010909419951584287, 0.010910142851016328, 0.010910897107504791, 0.010911682050756389, 0.010912497019185658, 0.010913341364595902, 0.010914214456850804, 0.010915115688521871, 0.010916044479498501, 0.010917000281549525, 0.010917982582827159, 0.010918990912306374, 0.010920024844155081, 0.010921084002032858, 0.010922168063318445, 0.010923276763269117, 0.010924409899117936, 0.010925567334118423, 0.010926749001550041, 0.010927954908702665, 0.010929185140863679, 0.010930439865338471, 0.01093171933554361, 0.010933023895222865, 0.010934353982850283, 0.010935710136301903, 0.010937092997900459, 0.010938503319966209, 0.010939941971043792, 0.010941409943021967, 0.010942908359422649, 0.010944438485211204, 0.010946001738575024, 0.010947599705237248, 0.010949234156022012, 0.010950907068574234, 0.010952620654368398, 0.010954377392426313, 0.010956180071516029, 0.010958031843034928, 0.010959936287308158, 0.010961897496678022, 0.010963920179548588, 0.010966009790515919, 0.010968172692906212, 0.010970416361526705, 0.010972749635301817, 0.010975183031858222, 0.010977729139239469, 0.010980403104078525, 0.010983223241186226, 0.010986211797305148, 0.010989395912750591, 0.010992808840351172, 0.010996491503850644, 0.011000494511334943, 0.011004880788911283, 0.011009729074693393, 0.01101513862756914, 0.011021235683186787, 0.011028182471821312, 0.011036190070464986, 0.01104553712277912, 0.011056597763654056, 0.011069884388881105, 0.011086115134537267, 0.011106324003749673, 0.01113204775929655, 0.011165657972015772, 0.011210984074381624, 0.011274562484208227, 0.011368355051457165, 0.011516317026268258, 0.011772615454709636, 0.01228284661823429, 0.013557848339046981, 0.018423196876712584, 0.047423357776332505, 0.020736239134640615, 0.013356079518111394, 0.01189386278163127, 0.01140665844959299, 0.011194201977638025, 0.011085636503463515, 0.011024099969801223, 0.010986592769483057, 0.010962478568251211, 0.010946333186820935, 0.010935176287791929, 0.010927271205864409, 0.010921556766613607, 0.010917358665798824, 0.010914234144946543, 0.01091188427482118, 0.010910102354085686, 0.010908742470769766, 0.010907699757071468, 0.010906897654326272, 0.010906279505031384, 0.010905802885884745, 0.010905435717955433, 0.010905153553567849, 0.010904937657565552, 0.010904773634680657, 0.010904650438999684, 0.010904559655600221, 0.010904494979856653, 0.010904451843606095, 0.010904427153589392, 0.010904419119025972, 0.010904421537641273, 0.010904428831377816, 0.010904441114702986, 0.010904458581073539, 0.010904481507045018, 0.010904510258214978, 0.010904545297201461, 0.010904587193932086, 0.010904636638608091, 0.010904694457815207, 0.01090476163438704, 0.010904839331794848, 0.010904928924051534, 0.010905032032392681, 0.01090515057035449, 0.010905286799335157, 0.010905443397342507, 0.010905623544450628, 0.010905831029588663, 0.01090607038477546, 0.010906347054951318, 0.010906667614371103, 0.010907040044447845, 0.010907474093473271, 0.010907981746547876, 0.010908577845487212, 0.010909280915236399, 0.010910114278275611, 0.010911107576235042, 0.010912298876016125, 0.010913737628826246, 0.010915488896481723, 0.010917639498560018, 0.010920307136196277, 0.01092365424393878, 0.010927909562737665, 0.010933402723701934, 0.010940621554874127, 0.010950310742900255, 0.010963649458506483, 0.010982588537156881, 0.01101053267334853, 0.011053832981894956, 0.01112538984995202, 0.01125452853378389, 0.011519086426124316, 0.012177186662246854, 0.014393908887445237, 0.022204936825661818, 0.017365428819061432, 0.013113699887998076, 0.011954054813065128, 0.011518419324783378, 0.011311446801234609, 0.011197164244311619, 0.011127295206989509, 0.011081344840823022, 0.011049427579043113, 0.011026299337076802, 0.011008966205276624, 0.010995616171899526, 0.010985099217798264, 0.010976656168989952, 0.010969768983313534, 0.010964074034529961, 0.010959309797637384, 0.010955284161303957, 0.010951853370783741, 0.01094890809473105, 0.010946363984764413, 0.010944155142858883, 0.010942229514956936, 0.010940545587528702, 0.010939069982375057, 0.010937775681508605, 0.010936640701125848, 0.010935647090461426, 0.010934780168973531, 0.01093402794071033, 0.010933380642108531, 0.010932830391571278, 0.010932370917695736, 0.01093199734910384, 0.01093170605322448, 0.010931494514586502, 0.010931361245553314, 0.010931305724196899, 0.010931328355334618, 0.010931430451749082, 0.010931614233355997, 0.010931882842627982, 0.010932240374955453, 0.010932691922842283, 0.010933243632895809, 0.010933902774463579, 0.010934677818466991, 0.010935578524442562, 0.01093661603296734, 0.010937802959440331, 0.010939153483522991, 0.010940683426296803, 0.010942410304249375, 0.010944353345421147, 0.010946533448315823, 0.010948973058425066, 0.010951695930464416, 0.010954726736856164, 0.010958090475101899, 0.010961811619369155, 0.010965912956386631, 0.010970414044922451, 0.010975329244990589, 0.01098066528177394, 0.010986418345109845, 0.010992570783350175, 0.010999087534228798, 0.011005912545170665, 0.011012965564713232, 0.01102013981883076, 0.011027301192047326, 0.011034289572617562, 0.011040922947211554, 0.011047004603867171, 0.011052333408607066, 0.011056716592618067, 0.011059983911422698, 0.011062001551834918, 0.011062683919143581, 0.011062001551834913, 0.011059983911422717, 0.01105671659261806, 0.011052333408607062, 0.011047004603867171, 0.01104092294721158, 0.011034289572617555, 0.011027301192047319, 0.011020139818830746, 0.011012965564713222, 0.011005912545170681, 0.010999087534228796, 0.010992570783350187, 0.010986418345109846, 0.010980665281773948, 0.010975329244990584, 0.010970414044922456, 0.010965912956386629, 0.010961811619369153, 0.010958090475101901, 0.010954726736856161, 0.01095169593046442, 0.010948973058425062, 0.010946533448315825, 0.010944353345421145, 0.010942410304249374, 0.0109406834262968, 0.010939153483522991, 0.010937802959440333, 0.01093661603296734, 0.010935578524442565, 0.010934677818466994, 0.010933902774463582, 0.010933243632895807, 0.010932691922842285, 0.010932240374955453, 0.010931882842627982, 0.010931614233355995, 0.010931430451749087, 0.010931328355334623, 0.010931305724196904, 0.010931361245553314, 0.010931494514586498, 0.010931706053224481, 0.01093199734910384, 0.010932370917695734, 0.01093283039157128, 0.010933380642108532, 0.01093402794071033, 0.010934780168973529, 0.010935647090461423, 0.010936640701125844, 0.010937775681508602, 0.010939069982375054, 0.010940545587528697, 0.010942229514956936, 0.010944155142858882, 0.010946363984764404, 0.010948908094731044, 0.010951853370783735, 0.010955284161303947, 0.010959309797637384, 0.010964074034529947, 0.010969768983313531, 0.010976656168989959, 0.010985099217798265, 0.010995616171899517, 0.011008966205276648, 0.011026299337076797, 0.011049427579043144, 0.011081344840823079, 0.011127295206989534, 0.011197164244311603, 0.011311446801234738, 0.01151841932478324, 0.011954054813065175, 0.013113699888000905, 0.017365428819063066, 0.022204936825664406, 0.014393908887446634, 0.012177186662245985, 0.01151908642612497, 0.011254528533783909, 0.011125389849952084, 0.011053832981894968, 0.011010532673348486, 0.010982588537156878, 0.010963649458506468, 0.010950310742900265, 0.010940621554874125, 0.010933402723701947, 0.010927909562737675, 0.01092365424393878, 0.010920307136196277, 0.010917639498560019, 0.010915488896481727, 0.010913737628826243, 0.010912298876016123, 0.010911107576235044, 0.010910114278275611, 0.010909280915236401, 0.010908577845487218, 0.010907981746547874, 0.010907474093473269, 0.010907040044447843, 0.010906667614371104, 0.010906347054951316, 0.010906070384775457, 0.010905831029588661, 0.010905623544450628, 0.010905443397342503, 0.010905286799335159, 0.01090515057035449, 0.010905032032392684, 0.010904928924051531, 0.010904839331794848, 0.010904761634387038, 0.010904694457815207, 0.010904636638608089, 0.010904587193932083, 0.010904545297201463, 0.010904510258214978, 0.010904481507045012, 0.010904458581073539, 0.010904441114702986, 0.010904428831377815, 0.010904421537641273, 0.01090441911902597, 0.010904420327526733, 0.010904423962250319, 0.010904430050946608, 0.010904438640153231, 0.010904449795631996, 0.010904463602989274, 0.010904480168490008, 0.010904499620078164, 0.010904522108619896, 0.010904547809389481, 0.010904576923822552, 0.010904609681565904, 0.010904646342859124, 0.010904687201289636, 0.01090473258697078, 0.010904782870201491, 0.010904838465677051, 0.010904899837333198, 0.010904967503921363, 0.01090504204543105, 0.010905124110497839, 0.010905214424962324, 0.010905313801777948, 0.010905423152505825, 0.010905543500683549, 0.010905675997415137, 0.01090582193960422, 0.010905982791344884, 0.010906160209100556, 0.010906356071446547, 0.010906572514335024, 0.010906811973073572, 0.010907077232505242, 0.010907371487258238, 0.010907698414425113, 0.010908062261670386, 0.010908467954602119, 0.010908921228346821, 0.010909428789734003, 0.010909998518463309, 0.010910639718286092, 0.010911363432861934, 0.01091218284595254, 0.010913113792581941, 0.010914175417606638, 0.010915391032132073, 0.010916789238423865, 0.010918405423565092, 0.010920283766127272, 0.010922479966644277, 0.010925065015007703, 0.010928130468381444, 0.010931795970279452, 0.010936220162843634, 0.010941616853120211, 0.010948279520658275, 0.010956619444827658, 0.010967226786730122, 0.010980971780353541, 0.010999178973232739, 0.011023941059014343, 0.011058714918641254, 0.011109527637859589, 0.011187611241600982, 0.011315727092609855, 0.011545222881059129, 0.012008986056539179, 0.013109756285348008, 0.016057828783684308, 0.019408588844042705, 0.015539350615595348, 0.012981749819514542, 0.012005166176940162, 0.011574615124891923, 0.011353162591027121, 0.011225470053067748, 0.011145415291515248, 0.0110919675714608, 0.0110545023528576, 0.01102720314476428, 0.011006674797788061, 0.01099082944152756, 0.01097832651268035, 0.010968273498907872, 0.010960057565840507, 0.010953246585081462, 0.01094752872461055, 0.010942674350053801, 0.01093851129749256, 0.01093490841269501, 0.010931764343197526, 0.010928999751198067, 0.010926551803811926, 0.010924370209912786, 0.010922414326408664, 0.010920651016278499, 0.010919053043078816, 0.010917597853619855, 0.010916266645115186, 0.010915043643288486, 0.010913915538646912, 0.010912871042561065, 0.010911900534968466, 0.010910995782781031, 0.01091014971331909, 0.010909356230918122, 0.010908610067670278, 0.010907906661356929, 0.0109072420551986, 0.010906612815237105, 0.010906015962070565, 0.01090544891435871, 0.010904909442055613, 0.010904395627748517, 0.010903905834813529, 0.010903438681362556, 0.010902993019167511, 0.010902567916919492, 0.010902162647321519, 0.010901776677631342, 0.010901409663370817, 0.010901061445005687, 0.01090073204747753, 0.010900421682541673, 0.010900130753933764, 0.010899859865455648, 0.010899609832141484, 0.010899381694739156, 0.010898842860348191, 0.010898564886150342, 0.010898628521337449, 0.010899158051030195, 0.010900343446055163, 0.010902477447185394, 0.0109060193266983, 0.010911708472739937, 0.010920775786349087, 0.010935358649974912, 0.010959370384450939, 0.011000476115235814, 0.011075074832067261, 0.011222721952366633, 0.011556806357568268, 0.012503836981660759, 0.016706401716697874, 0.070435270286589205, 0.029762466976989543, 0.015736359853701837, 0.013262738089486206, 0.012415098094846309, 0.012033004305350608, 0.011842139161574344, 0.011754629163272622, 0.011743648665818458, 0.011818354993634169, 0.012043767456632203, 0.012681418722217268, 0.015372024738466652, 0.047371189602039648, 0.014818755355461004, 0.011708450204785142, 0.011219496850702294, 0.01107528241084796, 0.011018336260915026, 0.010991599145497067, 0.010977459097865556, 0.010969274099341845, 0.010964175233352826, 0.010960794540454849, 0.010958428214924111, 0.010956691322156086, 0.010955362274592515, 0.010954307711646209, 0.010953444084428528, 0.01095271705312734, 0.010952089982655976, 0.010951537292198523, 0.010951040493315942, 0.010950585766801413, 0.010950162445982178, 0.010949762047837869, 0.010949377642839184, 0.010949003438528131, 0.010948634500432005, 0.010948266562620067, 0.010947895897562638, 0.010947519225647035, 0.010947133651422532, 0.010946736617942123, 0.010946325873363619, 0.010945899445821909, 0.010945455623828126, 0.010944992940301979, 0.010944510158933617, 0.010944006261986728, 0.010943480438949913, 0.010942932075655248, 0.01094236074363498, 0.010941766189596167, 0.010941148324969776, 0.01094050721554315, 0.010939843071219185, 0.010939156235965475, 0.010938447178026394, 0.010937716480472337, 0.010936964832156174, 0.010936193019138023, 0.010935401916628503, 0.010934592481487189, 0.01093376574529983, 0.010932922808043765, 0.010932064832338372, 0.01093119303826502, 0.010930308698730313, 0.01092941313533698, 0.01092850771471892, 0.010927593845290471, 0.010926672974355079, 0.010925746585515103, 0.010924816196322091, 0.010923883356106103, 0.010922949643922474, 0.010922016666555508, 0.010921086056520599, 0.01092015947000864, 0.010919238584720185, 0.010918325097540635, 0.010917420722012201, 0.010916527185563529, 0.01091564622646317, 0.010914779590469131, 0.010913929027152929, 0.010913096285883219, 0.010912283111460992, 0.010911491239405529, 0.010910722390897678, 0.010909978267394401, 0.010909260544936192, 0.010908570868176315, 0.010907910844168107, 0.010907282035953491, 0.010906685956002502, 0.010906124059559475, 0.010905597737956851, 0.010905108311961958, 0.01090465702522557, 0.010904245037903394, 0.010903873420522745, 0.010903543148166654, 0.010903255095045965, 0.010903010029527508, 0.010902808609681933, 0.010902651379409579, 0.01090253876519605, 0.010902471073541319, 0.010902448489097539, 0.010902463546206595, 0.010902508686154335, 0.010902583814903907, 0.010902688776064142, 0.010902823351391257, 0.010902987261483622, 0.010903180166662483, 0.010903401668029104, 0.010903651308687307, 0.010903928575118519, 0.010904232898694971, 0.010904563657315213, 0.010904920177145129, 0.010905301734446354, 0.010905707557473594, 0.010906136828421419, 0.010906588685401055, 0.010907062224427541, 0.010907556501397596, 0.010908070534039234, 0.010908603303814362, 0.010909153757756942, 0.010909720810229883, 0.010910303344585521, 0.010910900214715934, 0.010911510246481231, 0.010912132239005841, 0.010912764965835401, 0.010913407175949108, 0.010914057594625444, 0.010914714924162124, 0.010915377844454587, 0.010916045013440973, 0.010916715067425571, 0.010917386621296805, 0.010918058268660677, 0.010918728581915298, 0.010919396112297263, 0.010920059389936251, 0.010920716923959642, 0.010921367202694881, 0.010922008694023183, 0.010922639845943889, 0.010923259087414386, 0.010923864829535911, 0.010924455467159941, 0.010925029380993741, 0.010925584940286238, 0.010926120506176171, 0.010926634435783929, 0.010927125087124758, 0.010927590824915323, 0.010928030027336093, 0.010928441093799132, 0.010928822453753994, 0.010929172576543085, 0.010929489982292449, 0.010929773253793832, 0.010930021049299925, 0.010930232116117178, 0.010930405304840213, 0.010930539584030076, 0.010930634055096733, 0.010930687967106053, 0.010930700731195222, 0.010930671934250479, 0.010930601351479255, 0.010930488957498, 0.01093033493555888, 0.010930139684554922, 0.010929903823475398, 0.010929628193030826, 0.010929313854230275, 0.010928962083770453, 0.010928574366183752, 0.010928152382788102, 0.010927697997580159, 0.010927213240311167, 0.010926700287075956, 0.010926161438826076, 0.010925599098283369, 0.010925015745776805, 0.010924413914551364, 0.010923796166101752, 0.010923165066065827, 0.010922523161175363, 0.010921872957706453, 0.010921216901803496, 0.010920557361972127, 0.010919896613953237, 0.010919236828105756, 0.010918580059344511, 0.010917928239604694, 0.01091728317273858, 0.010916646531695141, 0.010916019857789963, 0.01091540456184187, 0.010914801926933027, 0.010914213112540502, 0.010913639159787865, 0.010913080997573573, 0.010912539449347591, 0.010912015240326634, 0.010911509004960473, 0.01091102129448571, 0.010910552584427434, 0.010910103281933302, 0.010909673732847134, 0.010909264228450205, 0.010908875011817533, 0.010908506283753111, 0.01090815820828276, 0.010907830917695401, 0.010907524517133749, 0.010907239088743512, 0.010906974695396509, 0.010906731384007671, 0.010906509188469103, 0.010906308132226504, 0.010906128230523855, 0.010905969492342476, 0.010905831922059742, 0.010905715520851355, 0.010905620287859142, 0.010905546221144298, 0.010905493318443069, 0.010905461577739348, 0.010905450997665459], [0.010290971683959409, 0.010290991264289029, 0.010291049978417214, 0.010291147745946933, 0.010291284433498436, 0.010291459855627386, 0.010291673776100832, 0.010291925909521613, 0.010292215923289541, 0.010292543439885277, 0.010292908039460903, 0.010293309262719267, 0.010293746614062543, 0.010294219564989259, 0.010294727557717863, 0.010295270009014198, 0.010295846314199726, 0.010296455851317284, 0.010297097985431072, 0.010297772073038105, 0.010298477466568905, 0.010299213518956176, 0.010299979588251228, 0.010300775042269301, 0.010301599263246497, 0.010302451652492613, 0.0103033316350261, 0.010304238664179377, 0.010305172226164686, 0.010306131844593178, 0.010307117084941956, 0.010308127558966557, 0.010309162929058889, 0.010310222912553445, 0.010311307285987815, 0.010312415889326869, 0.010313548630164026, 0.010314705487917242, 0.010315886518043152, 0.010317091856298748, 0.010318321723088213, 0.010319576427942147, 0.010320856374188697, 0.01032216206389165, 0.010323494103150073, 0.010324853207879023, 0.010326240210222557, 0.010327656065790574, 0.010329101861961936, 0.010330578827561356, 0.010332088344298994, 0.010333631960464879, 0.010335211407499469, 0.010336828620223391, 0.010338485761710873, 0.010340185254041984, 0.010341929816478402, 0.010343722512990422, 0.010345566811533874, 0.010347466658055235, 0.010349426568916005, 0.010351451746305529, 0.010353548222297383, 0.0103557230385573, 0.010357984470410845, 0.010360342306145147, 0.010362808195221274, 0.010365396082763193, 0.010368122752641561, 0.010371008508241934, 0.010374078029436878, 0.010377361457631143, 0.01038089577993536, 0.010384726611482369, 0.010388910516186869, 0.010393518068046141, 0.010398637948924965, 0.010404382523605822, 0.010410895560567018, 0.010418363132446023, 0.010427029331035741, 0.010437219446600846, 0.010449375028647664, 0.01046410843057472, 0.010482290409923128, 0.010505196052472614, 0.010534758417408016, 0.010574032163012812, 0.010628093794092226, 0.010705924212196826, 0.010824729751374306, 0.011021134689177165, 0.011385331887351363, 0.012193003187656652, 0.014643404715826631, 0.028240283073426766, 0.035030189682065567, 0.01465697678835118, 0.011768284203971819, 0.010979812816632666, 0.010670306396993703, 0.010521852612692915, 0.010441131782132547, 0.010393327223554736, 0.01036321866345934, 0.010343358816871569, 0.010329783077944675, 0.01032023795797944, 0.010313373710588358, 0.0103083465427149, 0.010304609832927332, 0.010301798661150299, 0.010299663067962012, 0.010298028000231954, 0.010296768479035937, 0.010295793762863759, 0.010295036993511085, 0.010294448276400853, 0.010293989965426128, 0.010293633394280223, 0.010293356576062805, 0.010293142563134025, 0.010292978265101912, 0.01029285359015835, 0.010292760818649079, 0.0102926941466475, 0.010292649356801633, 0.010292623587195491, 0.010292615178550809, 0.0102926174812802, 0.01029262442405848, 0.010292636111358198, 0.010292652719663295, 0.010292674501092851, 0.010292701788636477, 0.010292735003172692, 0.010292774662504585, 0.010292821392721314, 0.010292875942284441, 0.010292939199349342, 0.010293012212971244, 0.010293096219021768, 0.010293192671867058, 0.010293303283149483, 0.010293430069392633, 0.01029357541064542, 0.010293742123036366, 0.010293933548983071, 0.010294153669976673, 0.010294407248455116, 0.01029470000746169, 0.010295038859804668, 0.010295432202654428, 0.010295890299481443, 0.010296425779777359, 0.010297054299379835, 0.010297795422419006, 0.010298673813061631, 0.010299720866428472, 0.010300976971682882, 0.010302494700462432, 0.01030434337494085, 0.01030661573507906, 0.010309437872851537, 0.010312984380757331, 0.010317502062097196, 0.010323348158720868, 0.010331054115789202, 0.010341436212477871, 0.010355796563939633, 0.010376308887982119, 0.01040680955154338, 0.010454557605464361, 0.010534576066417417, 0.010681898893484415, 0.010992984021385738, 0.011805746155761758, 0.014752121608006414, 0.022990735795523944, 0.01557370322684512, 0.012198841258679269, 0.011239387779356519, 0.010861185079341473, 0.010675842076021628, 0.010571368479185397, 0.010506562826282762, 0.010463485379214592, 0.010433319796112936, 0.010411321864099011, 0.010394752385470317, 0.01038193837908152, 0.010371810099674899, 0.010363656941940717, 0.010356991436239131, 0.010351469865942268, 0.010346844060403556, 0.010342931101579276, 0.01033959371165241, 0.010336727218628328, 0.01033425069039825, 0.010332100778351967, 0.010330227362795289, 0.01032859042141184, 0.010327157743555164, 0.010325903239573983, 0.010324805675381101, 0.010323847715410584, 0.010323015192323991, 0.010322296545645069, 0.010321682387861193, 0.010321165167926352, 0.010320738910145948, 0.010320399012174209, 0.010320142090012812, 0.010319965860936454, 0.010319869057509706, 0.010319851367519858, 0.010319913395884483, 0.010320056645504663, 0.010320283514694802, 0.010320597309273602, 0.010321002267672911, 0.010321503597522284, 0.010322107522092559, 0.010322821334714068, 0.010323653458794428, 0.010324613510302824, 0.01032571235850659, 0.010326962179271634, 0.010328376493292435, 0.01032997017911582, 0.01033175944768755, 0.010333761761327949, 0.010335995675529836, 0.010338480576864182, 0.010341236284829063, 0.010344282480183622, 0.010347637918019599, 0.010351319381857654, 0.010355340337317527, 0.010359709252947959, 0.010364427574745986, 0.01036948737317203, 0.010374868730148664, 0.010380537000203372, 0.010386440163014966, 0.010392506577388378, 0.010398643535187926, 0.010404737075962334, 0.010410653530092186, 0.010416243179741868, 0.010421346239718495, 0.010425801061488278, 0.010429454081717955, 0.010432170637149445, 0.010433845444669673, 0.010434411399199367, 0.010433845444669675, 0.010432170637149466, 0.01042945408171795, 0.010425801061488275, 0.010421346239718493, 0.01041624317974189, 0.010410653530092181, 0.010404737075962331, 0.01039864353518791, 0.010392506577388371, 0.01038644016301498, 0.010380537000203371, 0.01037486873014867, 0.010369487373172033, 0.010364427574745995, 0.010359709252947956, 0.010355340337317524, 0.010351319381857651, 0.010347637918019601, 0.010344282480183622, 0.010341236284829056, 0.01033848057686418, 0.010335995675529836, 0.010333761761327952, 0.010331759447687551, 0.010329970179115818, 0.010328376493292433, 0.010326962179271633, 0.01032571235850659, 0.010324613510302824, 0.01032365345879443, 0.010322821334714067, 0.010322107522092559, 0.010321503597522284, 0.010321002267672913, 0.010320597309273604, 0.010320283514694798, 0.010320056645504659, 0.010319913395884485, 0.01031985136751986, 0.010319869057509709, 0.010319965860936454, 0.010320142090012814, 0.010320399012174207, 0.010320738910145946, 0.010321165167926352, 0.010321682387861193, 0.010322296545645071, 0.010323015192323988, 0.010323847715410582, 0.010324805675381103, 0.010325903239573978, 0.01032715774355516, 0.010328590421411842, 0.010330227362795283, 0.010332100778351963, 0.01033425069039825, 0.010336727218628324, 0.010339593711652401, 0.010342931101579271, 0.010346844060403548, 0.01035146986594227, 0.010356991436239114, 0.010363656941940708, 0.010371810099674902, 0.010381938379081522, 0.010394752385470316, 0.010411321864099035, 0.010433319796112924, 0.010463485379214639, 0.010506562826282841, 0.010571368479185416, 0.010675842076021623, 0.010861185079341671, 0.011239387779356316, 0.012198841258679307, 0.015573703226853851, 0.022990735795523787, 0.01475212160800861, 0.011805746155762036, 0.010992984021385353, 0.010681898893484747, 0.010534576066417431, 0.010454557605464406, 0.010406809551543383, 0.01037630888798209, 0.010355796563939628, 0.010341436212477854, 0.010331054115789211, 0.010323348158720864, 0.010317502062097207, 0.01031298438075734, 0.010309437872851539, 0.010306615735079062, 0.010304343374940848, 0.010302494700462435, 0.010300976971682883, 0.010299720866428474, 0.010298673813061628, 0.010297795422419003, 0.010297054299379833, 0.010296425779777359, 0.010295890299481442, 0.010295432202654432, 0.010295038859804664, 0.010294700007461684, 0.010294407248455116, 0.01029415366997667, 0.010293933548983067, 0.010293742123036367, 0.010293575410645423, 0.010293430069392635, 0.010293303283149483, 0.01029319267186706, 0.010293096219021768, 0.010293012212971244, 0.010292939199349344, 0.010292875942284441, 0.010292821392721313, 0.010292774662504584, 0.01029273500317269, 0.010292701788636477, 0.010292674501092853, 0.010292652719663294, 0.010292636111358198, 0.010292624424058483, 0.010292617481280198, 0.010292615178550808, 0.010292616329174843, 0.010292619789417479, 0.010292625584465535, 0.010292633756548843, 0.010292644365321889, 0.010292657488406022, 0.010292673222100427, 0.010292691682272634, 0.010292713005442185, 0.01029273735007448, 0.010292764898105196, 0.010292795856719912, 0.010292830460418265, 0.010292868973397491, 0.010292911692296356, 0.010292958949348181, 0.010293011116000374, 0.010293068607068214, 0.010293131885503157, 0.010293201467870723, 0.010293277930650773, 0.010293361917494496, 0.010293454147598285, 0.010293555425386318, 0.010293666651732022, 0.010293788836995717, 0.010293923116213745, 0.010294070766845936, 0.010294233229577295, 0.010294412132780548, 0.010294609321385425, 0.010294826891075668, 0.010295067228956805, 0.010295333062120795, 0.010295627515896117, 0.010295954184039944, 0.010296317213736363, 0.010296721409058879, 0.01029717235760161, 0.010297676586371771, 0.010298241754894178, 0.010298876895985968, 0.010299592718076064, 0.010300401987642979, 0.010301320016876829, 0.010302365290852602, 0.010303560281561572, 0.010304932514963347, 0.010306515984704202, 0.010308353046891747, 0.01031049699169781, 0.010313015581659597, 0.010315995993569006, 0.010319551835366463, 0.010323833292209771, 0.010329042096486154, 0.010335454119045087, 0.010343454336473523, 0.010353592528636272, 0.010366674945940896, 0.010383920963185843, 0.01040724276994494, 0.010439771115496632, 0.010486906111770828, 0.010558579195511779, 0.010674586175073473, 0.010878663266433563, 0.011281156149314148, 0.012209068288844018, 0.014710814764849299, 0.018925752462051228, 0.01578422662696086, 0.012684534671720829, 0.011515382568479308, 0.011019122489198981, 0.010771048658672259, 0.010630889540255272, 0.010544324231834426, 0.010487184836305553, 0.0104474895044681, 0.010418774498578552, 0.010397311045651831, 0.010380828079821137, 0.010367879048161516, 0.010357507372335819, 0.010349060026724402, 0.010342078852227359, 0.010336234685183415, 0.01033128606967967, 0.010327052605626755, 0.010323397291855444, 0.010320214555310308, 0.010317421965958652, 0.010314954395130884, 0.010312759826927973, 0.010310796308745776, 0.010309029700015909, 0.010307431988917587, 0.010305980018955196, 0.010304654515168493, 0.010303439332032972, 0.010302320867220532, 0.010301287600745185, 0.010300329729820878, 0.010299438877450341, 0.010298607858303136, 0.010297830489473201, 0.010297101436670208, 0.010296416088598879, 0.010295770453927745, 0.010295161076492922, 0.010294584965329888, 0.010294039536853603, 0.010293522567070135, 0.01029303215214193, 0.010292566675974123, 0.010292124783763429, 0.010291705360670662, 0.010291307514955949, 0.010290930565061831, 0.010290574030251338, 0.010290237624511932, 0.010289921253526334, 0.010289625014592076, 0.010289349199446232, 0.010289094300022911, 0.010288861017242088, 0.010288650273000558, 0.010288166156310388, 0.010287943328206074, 0.010288056557825099, 0.010288620831516014, 0.010289810967021092, 0.010291894175507299, 0.010295285398409801, 0.010300644475663248, 0.010309053889083946, 0.010322360476600088, 0.010343873402288256, 0.010379900578045781, 0.010443466590576791, 0.010564495627622661, 0.010822862187918088, 0.011486099029703789, 0.013876312010685808, 0.032847088633702261, 0.055857385680622471, 0.017826344779772879, 0.013435982421114422, 0.01217012097824237, 0.011645770104193098, 0.011397036958114526, 0.011288702576038812, 0.011282183490062717, 0.011393283730110431, 0.011728673664569051, 0.012766866195350515, 0.01847302147614989, 0.038189932777043925, 0.012597527311211854, 0.010909576722627929, 0.010562571733849955, 0.010448156648795183, 0.010400103204650389, 0.01037661076685757, 0.010363812766214823, 0.010356228728697531, 0.010351411667218927, 0.010348165328904041, 0.010345861952695776, 0.010344152507183572, 0.010342833191564628, 0.010341779769254251, 0.010340913477792016, 0.010340182511475152, 0.01033955156684874, 0.010338995740080428, 0.010338496859463281, 0.010338041224257266, 0.010337618178750859, 0.010337219194871619, 0.010336837271421123, 0.010336466534410022, 0.010336101967399907, 0.010335739227202344, 0.010335374516359805, 0.010335004493799607, 0.010334626211346849, 0.01033423706782978, 0.01033383477515854, 0.01033341733251986, 0.010332983006021564, 0.010332530311940031, 0.010332058002295022, 0.010331565051880888, 0.010331050646171775, 0.010330514169726919, 0.010329955194871688, 0.010329373470537858, 0.010328768911222209, 0.010328141586074539, 0.010327491708159758, 0.010326819623958322, 0.010326125803178321, 0.01032541082895321, 0.010324675388494504, 0.01032392026425933, 0.010323146325681145, 0.01032235452149842, 0.010321545872702172, 0.010320721466109316, 0.010319882448555674, 0.010319030021690207, 0.010318165437341351, 0.010317289993416934, 0.010316405030291251, 0.010315511927626942, 0.010314612101574194, 0.010313707002286831, 0.010312798111692573, 0.010311886941454147, 0.010310975031058043, 0.010310063945968997, 0.010309155275790346, 0.010308250632373096, 0.010307351647820215, 0.010306459972336491, 0.010305577271879097, 0.010304705225568915, 0.010303845522828325, 0.010302999860217014, 0.010302169937943641, 0.010301357456037958, 0.010300564110174647, 0.010299791587147604, 0.010299041560000471, 0.010298315682826891, 0.0102976155852612, 0.010296942866687996, 0.010296299090205954, 0.01029568577638848, 0.010295104396890069, 0.010294556367953468, 0.010294043043877734, 0.010293565710511937, 0.010293125578842599, 0.010292723778745357, 0.010292361352972578, 0.010292039251448479, 0.010291758325942025, 0.010291519325184946, 0.010291322890498372, 0.01029116955198584, 0.010291059725344274, 0.010290993709336354, 0.010290971683959409, 0.010290986368335321, 0.010291030390856677, 0.010291103659803963, 0.010291206022642272, 0.010291337266513994, 0.010291497118921168, 0.010291685248590187, 0.010291901266509584, 0.010292144727129901, 0.01029241512971283, 0.010292711919815361, 0.01029303449089336, 0.010293382186007666, 0.010293754299615059, 0.01029415007942542, 0.010294568728306155, 0.010295009406214327, 0.010295471232137178, 0.010295953286021568, 0.010296454610673446, 0.010296974213608966, 0.010297511068839822, 0.010298064118576289, 0.010298632274832903, 0.01029921442092332, 0.010299809412832468, 0.010300416080456376, 0.010301033228702215, 0.010301659638443679, 0.010302294067329626, 0.010302935250446909, 0.010303581900841857, 0.010304232709908309, 0.010304886347654234, 0.010305541462863037, 0.010306196683170496, 0.010306850615082793, 0.010307501843966622, 0.010308148934047454, 0.010308790428457943, 0.010309424849384047, 0.010310050698362475, 0.010310666456788735, 0.010311270586700776, 0.010311861531908464, 0.010312437719543693, 0.010312997562109743, 0.01031353946011109, 0.010314061805345769, 0.010314562984941603, 0.010315041386214224, 0.010315495402418721, 0.010315923439457331, 0.01031632392359277, 0.010316695310199363, 0.010317036093563237, 0.010317344817716718, 0.010317620088262154, 0.010317860585106094, 0.010318065075986991, 0.0103182324306392, 0.010318361635393973, 0.010318451807976303, 0.010318502212216288, 0.010318512272357611, 0.010318481586615767, 0.010318409939617449, 0.010318297313342259, 0.010318143896190513, 0.010317950089818371, 0.010317716513414633, 0.010317444005142357, 0.010317133620532879, 0.010316786627697576, 0.010316404499311503, 0.010315988901419118, 0.010315541679211577, 0.010315064840022557, 0.010314560533880496, 0.010314031032034428, 0.010313478703934785, 0.010312905993195147, 0.010312315393084985, 0.010311709422105127, 0.010311090600177736, 0.01031046142594301, 0.010309824355597704, 0.010309181783640575, 0.010308536025810241, 0.010307889304416762, 0.010307243736183929, 0.010306601322637899, 0.010305963943003859, 0.010305333349507506, 0.010304711164924641, 0.010304098882180229, 0.010303497865769116, 0.010302909354752476, 0.010302334467076903, 0.010301774204964975, 0.010301229461135757, 0.010300701025629164, 0.010300189593028111, 0.010299695769894986, 0.010299220082263135, 0.010298762983048628, 0.010298324859271365, 0.010297906038997263, 0.010297506797934034, 0.010297127365631943, 0.010296767931257174, 0.010296428648919746, 0.010296109642549794, 0.010295811010325548, 0.010295532828664392, 0.010295275155793962, 0.010295038034924811, 0.01029482149704887, 0.010294625563389795, 0.01029445024753183, 0.010294295557253657, 0.010294161496092823, 0.010294048064664836, 0.01029395526175894, 0.010293883085230528, 0.010293831532707139, 0.010293800602122491, 0.010293790292089816], [0.0097067931849127848, 0.0097068123954008288, 0.009706870000577645, 0.0097069659217658109, 0.0097071000284500112, 0.0097072721391928251, 0.0097074820229073547, 0.0097077294004773666, 0.009708013946713211, 0.009708335292629473, 0.0097086930280284121, 0.0097090867043711764, 0.0097095158379174248, 0.0097099799131125999, 0.0097104783862010605, 0.0097110106890425912, 0.0097115762331093126, 0.0097121744136400776, 0.0097128046139292514, 0.0097134662097276142, 0.0097141585737334953, 0.0097148810801534688, 0.009715633109312935, 0.0097164140522985505, 0.0097172233156158673, 0.0097180603258475891, 0.0097189245342995702, 0.0097198154216240843, 0.00972073250241191, 0.0097216753297474437, 0.0097226434997233092, 0.0097236366559140721, 0.0097246544938111561, 0.0097256967652245719, 0.0097267632826603303, 0.0097278539236864432, 0.0097289686353047144, 0.0097301074383507481, 0.0097312704319506595, 0.0097324577980702279, 0.0097336698062012502, 0.0097349068182408238, 0.0097361692936330912, 0.0097374577948602364, 0.009738772993391407, 0.0097401156762256628, 0.0097414867532001365, 0.0097428872652787039, 0.0097443183940922953, 0.009745781473072845, 0.0097472780006116599, 0.0097488096557850987, 0.0097503783173309502, 0.009751986086734412, 0.0097536353165018578, 0.0097553286449730773, 0.0097570690393607006, 0.0097588598491246091, 0.0097607048723064999, 0.0097626084380902454, 0.0097645755096456548, 0.0097666118122962577, 0.009768723993277776, 0.0097709198208947318, 0.0097732084328386679, 0.0097756006459478479, 0.0097781093429753288, 0.0097807499562997807, 0.0097835410744228531, 0.0097865052052354025, 0.009789669741438696, 0.0097930681897430132, 0.0097967417489285905, 0.0098007413562416369, 0.0098051303727036947, 0.0098099881549694908, 0.0098154148793867697, 0.0098215381678509912, 0.0098285223574526587, 0.0098365817312951673, 0.0098459998206176392, 0.0098571582489151086, 0.0098705810007747134, 0.0098870044341911028, 0.009907491861983659, 0.0099336286440359356, 0.0099678701471017355, 0.010014197668749497, 0.010079440826335998, 0.010176175518463764, 0.0103297886058139, 0.010598313104341978, 0.011140263100988318, 0.012526853368424929, 0.018090483648175067, 0.050994600228065401, 0.018861975686401293, 0.012071599312904656, 0.010683011246455936, 0.010210344189129861, 0.010001306656191849, 0.0098933579176278853, 0.0098316357632396902, 0.0097937222158186801, 0.0097691678357155545, 0.009752609338798339, 0.0097410836496503363, 0.0097328558016224146, 0.0097268610051945807, 0.0097224199012380438, 0.0097190846883693279, 0.00971655190457206, 0.009714610945680326, 0.0097131126017321982, 0.0097119492378359516, 0.0097110419754825785, 0.0097103322061439859, 0.0097097758558262904, 0.00970933943716701, 0.0097089972875035561, 0.00970872960891353, 0.0097085210602300652, 0.0097083597353967415, 0.0097082364167275226, 0.0097081440271377956, 0.009708077229111477, 0.0097080321343077404, 0.0097080060989549397, 0.0097079975882441074, 0.0097079997518755221, 0.0097080062742995379, 0.009708017250726262, 0.0097080328419274185, 0.0097080532774365576, 0.0097080788601680446, 0.00970810997260136, 0.0097081470847302995, 0.009708190764039849, 0.0097082416878490688, 0.0097083006584518499, 0.0097083686216029759, 0.0097084466890433214, 0.0097085361659433496, 0.0097086385843825583, 0.00970875574429041, 0.0097088897636760565, 0.0097090431405020376, 0.0097092188292562647, 0.0097094203362102262, 0.0097096518386092963, 0.0097099183347502342, 0.0097102258342465914, 0.0097105816010335452, 0.0097109944662176467, 0.0097114752343304012, 0.0097120372158015066, 0.0097126969319229466, 0.0097134750584116671, 0.0097143977033746498, 0.0097154981606816012, 0.0097168193498086905, 0.0097184172639682726, 0.0097203659272571893, 0.0097227646575843429, 0.0097257489350660517, 0.0097295070555786511, 0.0097343063406981536, 0.0097405356631646289, 0.0097487769000495599, 0.0097599299657216507, 0.0097754422911289982, 0.0097977546418122376, 0.0098312290676256745, 0.0098842526497876174, 0.0099745540366524051, 0.010144697860477218, 0.01051692128052119, 0.011547495910620821, 0.015583052328951425, 0.022467547190905143, 0.013974883213591157, 0.011353167755160978, 0.010561616976894813, 0.010234132815603821, 0.010068605477127197, 0.0099733426224424028, 0.0099133721077837196, 0.0098730698838140757, 0.0098446096477042885, 0.0098237176419048809, 0.0098078974403725313, 0.0097956099003407987, 0.009785863166198977, 0.0097779940572204436, 0.0097715451066831341, 0.0097661922144493072, 0.009761700408254902, 0.0097578958770110861, 0.0097546477694641816, 0.0097518560413818178, 0.0097494431551746613, 0.0097473482950106178, 0.0097455232615169442, 0.0097439295107770336, 0.0097425359873547623, 0.0097413175176258495, 0.0097402536046663109, 0.0097393275151102521, 0.0097385255812001432, 0.0097378366635100366, 0.0097372517351486925, 0.0097367635589515091, 0.0097363664367398576, 0.0097360560151444186, 0.0097358291364084224, 0.009735683725448082, 0.0097356187065503821, 0.0097356339446388763, 0.0097357302071767998, 0.0097359091436001639, 0.0097361732797449745, 0.0097365260250925484, 0.0097369716908255605, 0.0097375155166718533, 0.0097381637043046469, 0.0097389234546484214, 0.0097398030057781713, 0.0097408116671561899, 0.0097419598446763407, 0.0097432590493277162, 0.0097447218801966651, 0.0097463619699580603, 0.0097481938779539704, 0.0097502329124632831, 0.0097524948599647752, 0.0097549955953639567, 0.009757750543771336, 0.009760773962247114, 0.0097640780100811085, 0.0097676715801872215, 0.0097715588740048681, 0.0097757377201697845, 0.0097801976654142697, 0.0097849179064110458, 0.0097898651838910517, 0.0097949918230240858, 0.0098002341704641668, 0.0098055117372615637, 0.0098107273913884269, 0.0098157689335496481, 0.00982051231522711, 0.0098248266055202781, 0.0098285805854886523, 0.0098316505697567686, 0.0098339287735881957, 0.0098353313253222371, 0.0098358049359305415, 0.0098353313253222319, 0.0098339287735882113, 0.0098316505697567651, 0.0098285805854886506, 0.0098248266055202729, 0.0098205123152271291, 0.0098157689335496446, 0.0098107273913884199, 0.0098055117372615498, 0.0098002341704641598, 0.0097949918230240962, 0.0097898651838910517, 0.0097849179064110493, 0.0097801976654142732, 0.0097757377201697897, 0.0097715588740048629, 0.0097676715801872215, 0.009764078010081105, 0.0097607739622471122, 0.0097577505437713378, 0.0097549955953639533, 0.0097524948599647752, 0.0097502329124632831, 0.0097481938779539722, 0.0097463619699580586, 0.0097447218801966651, 0.0097432590493277162, 0.0097419598446763407, 0.0097408116671561899, 0.0097398030057781713, 0.0097389234546484248, 0.0097381637043046469, 0.0097375155166718585, 0.0097369716908255587, 0.0097365260250925467, 0.0097361732797449693, 0.0097359091436001605, 0.0097357302071768015, 0.009735633944638878, 0.0097356187065503839, 0.0097356837254480872, 0.0097358291364084207, 0.0097360560151444203, 0.0097363664367398576, 0.0097367635589515073, 0.0097372517351486942, 0.0097378366635100348, 0.0097385255812001432, 0.0097393275151102503, 0.0097402536046663074, 0.0097413175176258495, 0.0097425359873547588, 0.0097439295107770319, 0.0097455232615169425, 0.0097473482950106091, 0.0097494431551746613, 0.0097518560413818144, 0.0097546477694641764, 0.0097578958770110809, 0.0097617004082548968, 0.0097661922144492968, 0.0097715451066831341, 0.0097779940572204228, 0.0097858631661989701, 0.0097956099003408074, 0.009807897440372533, 0.0098237176419048739, 0.0098446096477043214, 0.009873069883814067, 0.0099133721077837821, 0.0099733426224425138, 0.010068605477127235, 0.010234132815603808, 0.010561616976895194, 0.011353167755160508, 0.013974883213591163, 0.022467547190914577, 0.015583052328949199, 0.011547495910621416, 0.010516921280521344, 0.010144697860477017, 0.0099745540366526046, 0.0098842526497876296, 0.009831229067625704, 0.009797754641812241, 0.0097754422911289791, 0.0097599299657216507, 0.0097487769000495477, 0.0097405356631646359, 0.0097343063406981553, 0.0097295070555786581, 0.0097257489350660569, 0.0097227646575843429, 0.0097203659272571928, 0.0097184172639682743, 0.0097168193498086905, 0.0097154981606815995, 0.0097143977033746481, 0.0097134750584116636, 0.0097126969319229484, 0.0097120372158015084, 0.009711475234330403, 0.0097109944662176449, 0.0097105816010335435, 0.0097102258342465896, 0.0097099183347502307, 0.0097096518386092963, 0.0097094203362102262, 0.009709218829256263, 0.0097090431405020411, 0.0097088897636760547, 0.0097087557442904083, 0.0097086385843825583, 0.0097085361659433513, 0.0097084466890433214, 0.0097083686216029794, 0.0097083006584518499, 0.0097082416878490688, 0.0097081907640398438, 0.0097081470847302995, 0.00970810997260136, 0.0097080788601680464, 0.0097080532774365541, 0.0097080328419274151, 0.0097080172507262585, 0.0097080062742995413, 0.0097079997518755221, 0.0097079975882441091, 0.0097079986693815526, 0.0097080019203872065, 0.0097080073641069471, 0.0097080150388378569, 0.0097080249986624886, 0.009708037313923527, 0.0097080520718458175, 0.0097080693773147868, 0.0097080893538228821, 0.0097081121445982514, 0.0097081379139329019, 0.0097081668487310098, 0.0097081991603020414, 0.0097082350864276749, 0.0097082748937369623, 0.0097083188804301269, 0.0097083673793987232, 0.0097084207617982206, 0.0097084794411393151, 0.009708543877976053, 0.0097086145852833833, 0.0097086921346337431, 0.0097087771633031558, 0.0097088703824622109, 0.0097089725866379047, 0.0097090846646690938, 0.0097092076124240968, 0.0097093425476043969, 0.0097094907270275817, 0.0097096535668680199, 0.0097098326664402986, 0.0097100298362440031, 0.0097102471311562577, 0.0097104868898713042, 0.0097107517819569646, 0.0097110448642444697, 0.0097113696487149768, 0.0097117301846248935, 0.0097121311583690025, 0.0097125780155747406, 0.0097130771112397939, 0.0097136358954868288, 0.009714263144883481, 0.0097149692525045558, 0.0097157665943474383, 0.0097166699958631825, 0.0097176973309952876, 0.0097188702983662684, 0.009720215436858283, 0.0097217654684872163, 0.0097235610944004305, 0.0097256534268073402, 0.0097281073267306353, 0.0097310060530584851, 0.0097344578438790484, 0.0097386054013622516, 0.0097436398350970559, 0.009749821618330384, 0.0097575128765297996, 0.009767228553064668, 0.0097797201237892952, 0.0097961176958859895, 0.0098181817273795095, 0.0098487718520686943, 0.009892773705915122, 0.00995906788345894, 0.010065098357104804, 0.010248698207198819, 0.01060314646408481, 0.011398446102745274, 0.013521760557631272, 0.018056893748308857, 0.016113314122511786, 0.012453656273567672, 0.011062830382795114, 0.010493615418140961, 0.010216979340900921, 0.010063775129282542, 0.0099705185285954064, 0.0099096340125963602, 0.0098676974761185889, 0.0098375691001534524, 0.0098151763177433855, 0.0097980613314182403, 0.0097846705098351295, 0.0097739830232551131, 0.0097653057828360774, 0.009758154812697933, 0.009752183832255408, 0.0097471397512445632, 0.0097428340870762461, 0.0097391241140591216, 0.0097359001344712991, 0.0097330767004912694, 0.0097305864450671787, 0.0097283756715681111, 0.0097264011514974248, 0.0097246277662459916, 0.0097230267478045484, 0.0097215743506323185, 0.0097202508380012168, 0.0097190397005192924, 0.0097179270480196988, 0.0097169011322683907, 0.0097159519693607501, 0.0097150710387899925, 0.0097142510420005629, 0.0097134857074759103, 0.0097127696325183567, 0.0097120981541822266, 0.0097114672435432755, 0.0097108734187860909, 0.0097103136735787535, 0.0097097854179611538, 0.0097092864295585356, 0.0097088148133876485, 0.0097083689688811248, 0.0097079475630398385, 0.0097075495088499754, 0.0097071739482860828, 0.009706820239372178, 0.0097064879468989999, 0.0097061768365027303, 0.0097058868719035185, 0.009705618215185792, 0.009705371230079033, 0.0097051464882717993, 0.0097049447788645563, 0.00970448929085908, 0.0097042938032540892, 0.0097044269903517159, 0.0097049947054155417, 0.009706157326703534, 0.0097081583532708671, 0.0097113724891879118, 0.0097163889507066864, 0.0097241613954770611, 0.0097362905647426761, 0.0097555879548471159, 0.009787280257977057, 0.0098418152061084865, 0.0099421681723127851, 0.010145940201125693, 0.010628088352438197, 0.012113612342023447, 0.020068150436524827, 0.10154825711088852, 0.023136211259762469, 0.014159629114530045, 0.012131018442382742, 0.011377330402799302, 0.011041283363832121, 0.010903153284936089, 0.010904994771632315, 0.011074910105131237, 0.011598456764730397, 0.013439243449175527, 0.028047076961879223, 0.020838792063062536, 0.011216942481548288, 0.01019860522723314, 0.0099432403339475457, 0.0098509230904078541, 0.0098100077516027027, 0.0097892653221475466, 0.0097776554698021014, 0.0097706256151623653, 0.0097660802423729515, 0.0097629709711487458, 0.009760737414173222, 0.009759063182922828, 0.0097577610603410154, 0.009756715541714157, 0.0097558525794148847, 0.0097551229506140265, 0.0097544927696470319, 0.0097539378993626615, 0.009753440565181971, 0.0097529872520945079, 0.0097525673694050311, 0.0097521723861965989, 0.0097517952617391206, 0.0097514300643432913, 0.0097510717127180461, 0.0097507157981768997, 0.00975035846088795, 0.0097499963026183769, 0.009749626324301458, 0.0097492458805520064, 0.009748852645753401, 0.0097484445880092162, 0.0097480199483880228, 0.0097475772236745827, 0.009747115151391093, 0.0097466326962434326, 0.0097461290374283357, 0.009745603556440675, 0.0097450558251665972, 0.0097444855941539489, 0.0097438927810255538, 0.0097432774590516889, 0.009742639845930828, 0.0097419802928461318, 0.009741299273873542, 0.0097405973758171449, 0.0097398752885418192, 0.0097391337958632525, 0.0097383737670430279, 0.0097375961489223287, 0.009736801958713532, 0.0097359922774545894, 0.0097351682441175948, 0.0097343310503505733, 0.0097334819358206662, 0.0097326221841173774, 0.0097317531191668943, 0.0097308761021021994, 0.0097299925285293087, 0.0097291038261265207, 0.009728211452511985, 0.0097273168933140614, 0.0097264216603795903, 0.0097255272900563829, 0.0097246353414886504, 0.0097237473948669027, 0.0097228650495776031, 0.0097219899222019176, 0.0097211236443176963, 0.0097202678600640021, 0.0097194242234329518, 0.0097185943952598861, 0.0097177800398888861, 0.0097169828214976779, 0.0097162044000725974, 0.0097154464270317164, 0.0097147105405013812, 0.0097139983602590897, 0.0097133114823629695, 0.0097126514734956568, 0.0097120198650576025, 0.0097114181470518424, 0.0097108477618087739, 0.0097103100976055901, 0.0097098064822401676, 0.0097093381766238888, 0.0097089063684611867, 0.0097085121660861872, 0.0097081565925279667, 0.0097078405798759412, 0.0097075649640155307, 0.0097073304798015111, 0.0097071377567324278, 0.0097069873151840059, 0.0097068795632530396, 0.0097068147942553258, 0.0097067931849127848, 0.0097068075919167201, 0.0097068507828625104, 0.0097069226676506568, 0.009707023096442606, 0.0097071518601479865, 0.0097073086910992902, 0.0097074932639067447, 0.0097077051964841315, 0.0097079440512345353, 0.0097082093363832153, 0.0097085005074434919, 0.0097088169687998948, 0.0097091580753919174, 0.0097095231344805962, 0.0097099114074794095, 0.009710322111830566, 0.00971075442290718, 0.0097112074759221432, 0.0097116803678242315, 0.0097121721591626881, 0.0097126818759019542, 0.0097132085111691999, 0.0097137510269182901, 0.009714308355495152, 0.0097148794010912132, 0.0097154630410731177, 0.0097160581271791696, 0.0097166634865752579, 0.009717277922765253, 0.009717900216354174, 0.0097185291256649681, 0.0097191633872134742, 0.0097198017160497092, 0.0097204428059774108, 0.009721085329668297, 0.0097217279386918268, 0.0097223692634863662, 0.0097230079133026337, 0.0097236424761558572, 0.0097242715188287313, 0.0097248935869730432, 0.0097255072053637742, 0.0097261108783653141, 0.0097267030906751078, 0.0097272823084152676, 0.0097278469806474869, 0.0097283955413901644, 0.0097289264122194467, 0.0097294380055367533, 0.0097299287285844051, 0.0097303969882877803, 0.0097308411969959166, 0.0097312597791833488, 0.0097316511791624982, 0.0097320138698387491, 0.0097323463625187852, 0.0097326472177566188, 0.0097329150571912274, 0.0097331485762952846, 0.0097333465579160089, 0.0097335078864486634, 0.0097336315624405589, 0.0097337167173814562, 0.0097337626283957295, 0.009733768732515696, 0.0097337346401854975, 0.0097336601476242894, 0.0097335452476674817, 0.0097333901387085982, 0.0097331952313824723, 0.0097329611526651497, 0.0097326887471158949, 0.0097323790750528608, 0.0097320334075330257, 0.0097316532180973872, 0.0097312401713396512, 0.0097307961084567851, 0.0097303230300378445, 0.0097298230764384427, 0.0097292985061669616, 0.0097287516727719552, 0.0097281850007632127, 0.0097276009611212428, 0.0097270020469494029, 0.0097263907498006882, 0.0097257695371691898, 0.0097251408315770244, 0.0097245069916153132, 0.0097238702952168483, 0.0097232329253523157, 0.0097225969582572618, 0.0097219643542150458, 0.0097213369508475228, 0.0097207164588007933, 0.0097201044596607125, 0.0097195024058924773, 0.0097189116225703514, 0.0097183333106473126, 0.0097177685515085401, 0.0097172183125559652, 0.0097166834535821096, 0.0097161647337079861, 0.009715662818680729, 0.0097151782883501021, 0.0097147116441676385, 0.0097142633165772097, 0.0097138336721897776, 0.0097134230206579082, 0.009713031621186299, 0.0097126596886332739, 0.0097123073991744191, 0.0097119748955133266, 0.0097116622916361452, 0.0097113696771159337, 0.009711097120980219, 0.0097108446751608853, 0.0097106123775493897, 0.0097104002546829701, 0.0097102083240891198, 0.0097100365963157485, 0.0097098850766743749, 0.009709753766722392, 0.0097096426655089909, 0.0097095517706070923, 0.009709481078951393, 0.0097094305874997969, 0.0097094002937326163, 0.0097093901960009898], [0.0091270265943507491, 0.0091270453122009113, 0.0091271014402479617, 0.0091271949021646155, 0.0091273255713471557, 0.0091274932718234149, 0.0091276977795144501, 0.0091279388238407495, 0.0091282160896612573, 0.0091285292195313686, 0.0091288778162639528, 0.0091292614457757024, 0.0091296796401995738, 0.0091301319012427988, 0.0091306177037689916, 0.0091311364995821879, 0.0091316877213902699, 0.0091322707869252017, 0.0091328851031976313, 0.0091335300708640359, 0.0091342050886852634, 0.0091349095580564865, 0.0091356428875897459, 0.0091364044977319155, 0.009137193825402519, 0.0091380103286378949, 0.0091388534912301578, 0.0091397228273518549, 0.0091406178861594498, 0.0091415382563716056, 0.0091424835708207447, 0.0091434535109796503, 0.0091444478114678131, 0.0091454662645459091, 0.009146508724610548, 0.0091475751127059104, 0.0091486654210737473, 0.0091497797177690077, 0.0091509181513753455, 0.0091520809558628072, 0.0091532684556400977, 0.0091544810708663153, 0.0091557193231021003, 0.0091569838413996865, 0.0091582753689551377, 0.0091595947704766062, 0.0091609430404607142, 0.0091623213126174313, 0.0091637308707447924, 0.0091651731614317763, 0.0091666498090642121, 0.0091681626337302181, 0.0091697136727740582, 0.009171305206937817, 0.0091729397922685162, 0.0091746202992648278, 0.0091763499611065037, 0.009178132433268359, 0.0091799718673899865, 0.0091818730029806245, 0.0091838412814199809, 0.0091858829878184931, 0.009188005427686604, 0.0091902171471205975, 0.00919252820746542, 0.0091949505283404637, 0.0091974983167710037, 0.0092001886053363641, 0.0092030419292926709, 0.0092060831823999514, 0.0092093427049609357, 0.0092128576773089343, 0.0092166739206604696, 0.0092208482495416601, 0.0092254515832887515, 0.0092305731203108348, 0.0092363260274653386, 0.0092428553310162989, 0.0092503490722350111, 0.0092590544111399234, 0.0092693014120858921, 0.0092815390777654209, 0.0092963915093626556, 0.0093147482918938332, 0.0093379154295521564, 0.0093678784608147714, 0.0094077850376103871, 0.0094628858123396095, 0.0095425118361346286, 0.0096646420463959437, 0.0098678329832051354, 0.010248045506630204, 0.011103475308851789, 0.013771342713027438, 0.029551705832677286, 0.032999071778012437, 0.013354784719775558, 0.010588403986569631, 0.0098179082186759681, 0.0095114309222151302, 0.0093629977913430914, 0.0092816444777825136, 0.0092331238408283195, 0.0092023600934690586, 0.0091819348096678181, 0.0091678796792286112, 0.0091579294874230346, 0.0091507221962568944, 0.0091454032430727875, 0.0091414171182379062, 0.009138391726008898, 0.0091360713509660331, 0.0091342763184975757, 0.0091328779216890265, 0.0091317823914357169, 0.0091309203909484861, 0.0091302399781840772, 0.0091297017987369347, 0.0091292757449351458, 0.0091289385980210837, 0.0091286723415740494, 0.0091284629410865875, 0.009128299452552717, 0.0091281733670232311, 0.0091280781272395257, 0.0091280087720932157, 0.0091279616781441628, 0.0091279343769012401, 0.0091279254334174758, 0.0091279275182816096, 0.0091279338019098141, 0.0091279443719628657, 0.0091279593764030179, 0.0091279790263440169, 0.0091280036001608559, 0.0091280334489854138, 0.0091280690037597399, 0.0091281107840722846, 0.0091281594090668969, 0.0091282156107928662, 0.0091282802504619263, 0.0091283543382000443, 0.009128439057036376, 0.0091285357920689383, 0.0091286461659999749, 0.0091287720825629776, 0.0091289157797927924, 0.0091290798956557059, 0.0091292675493068187, 0.0091294824422459633, 0.0091297289849981127, 0.0091300124567889451, 0.0091303392082224717, 0.0091307169204900389, 0.0091311549395857849, 0.0091316647110284543, 0.0091322603506929223, 0.0091329594020806808, 0.0091337838521341128, 0.0091347615104050428, 0.0091359279063480646, 0.0091373289372459754, 0.0091390246226918555, 0.0091410945218772955, 0.0091436457031245453, 0.0091468247244785115, 0.0091508360869955088, 0.0091559714495044481, 0.0091626573528354877, 0.0091715360436606663, 0.0091836082215092252, 0.0092004979342912175, 0.009224974108421503, 0.0092620540880941869, 0.0093215579946149939, 0.0094247412361510331, 0.0096243461913559231, 0.010079345213899599, 0.011427959915729806, 0.017074510735746014, 0.020424289612345249, 0.012568558479137928, 0.010550063160687101, 0.0098972396196612966, 0.0096140746288330935, 0.0094665621651885603, 0.0093799144406283702, 0.009324565236744518, 0.0092869620513591298, 0.0092601849267630737, 0.0092403986931502285, 0.009225336621186098, 0.009213587771725696, 0.0092042356923242308, 0.0091966635392210037, 0.0091904434031276801, 0.0091852706542095135, 0.009180923510917453, 0.0091772373228206448, 0.0091740877429109836, 0.0091713794383832987, 0.0091690383474438454, 0.0091670062623634904, 0.0091652369722883039, 0.0091636934727461448, 0.0091623459178948805, 0.0091611700985436886, 0.0091601462980739276, 0.0091592584238593157, 0.0091584933422346592, 0.0091578403657795304, 0.0091572908559874877, 0.0091568379144022563, 0.009156476142396671, 0.0091562014548534579, 0.0091560109366854263, 0.0091559027338140968, 0.0091558759721894617, 0.0091559306998694294, 0.0091560678482164246, 0.0091562892089987954, 0.0091565974246632081, 0.0091569959893074687, 0.0091574892579472066, 0.0091580824615391434, 0.0091587817248896444, 0.0091595940840212432, 0.0091605274987663823, 0.0091615908552750824, 0.0091627939517293575, 0.0091641474588248593, 0.0091656628444980286, 0.0091673522499643428, 0.009169228301461288, 0.0091713038393134508, 0.0091735915433316939, 0.0091761034315687214, 0.0091788502087428014, 0.009181840442138791, 0.009185079547715292, 0.0091885685789578533, 0.0091923028273182446, 0.0091962702673269673, 0.0092004499125135988, 0.0092048101896924951, 0.0092093074864111057, 0.0092138850738571806, 0.0092184726461418971, 0.0092229867340917326, 0.0092273322330674659, 0.009231405216757466, 0.009235097085325588, 0.0092382999212165043, 0.0092409127194977934, 0.0092428479580289411, 0.009244037822678507, 0.0092444393498783226, 0.0092440378226785035, 0.0092428479580289585, 0.0092409127194977934, 0.0092382999212165008, 0.0092350970853255897, 0.0092314052167574833, 0.0092273322330674624, 0.0092229867340917308, 0.0092184726461418866, 0.0092138850738571719, 0.0092093074864111179, 0.0092048101896924934, 0.0092004499125136023, 0.009196270267326969, 0.0091923028273182515, 0.0091885685789578533, 0.0091850795477152938, 0.0091818404421387893, 0.0091788502087428048, 0.0091761034315687214, 0.0091735915433316887, 0.0091713038393134508, 0.0091692283014612897, 0.0091673522499643445, 0.0091656628444980286, 0.0091641474588248593, 0.0091627939517293575, 0.0091615908552750824, 0.009160527498766384, 0.0091595940840212449, 0.0091587817248896461, 0.0091580824615391434, 0.0091574892579472083, 0.0091569959893074704, 0.0091565974246632063, 0.009156289208998792, 0.0091560678482164263, 0.0091559306998694259, 0.0091558759721894652, 0.0091559027338140985, 0.0091560109366854263, 0.0091562014548534579, 0.0091564761423966728, 0.0091568379144022563, 0.009157290855987486, 0.0091578403657795304, 0.0091584933422346557, 0.0091592584238593174, 0.0091601462980739241, 0.0091611700985436851, 0.0091623459178948787, 0.0091636934727461379, 0.0091652369722883022, 0.0091670062623634904, 0.0091690383474438419, 0.0091713794383832987, 0.0091740877429109819, 0.009177237322820643, 0.0091809235109174478, 0.0091852706542095066, 0.0091904434031276697, 0.0091966635392210054, 0.0092042356923242082, 0.0092135877717256891, 0.0092253366211861049, 0.009240398693150232, 0.0092601849267630702, 0.009286962051359168, 0.0093245652367445094, 0.0093799144406284569, 0.009466562165188732, 0.009614074628833149, 0.009897239619661255, 0.010550063160687904, 0.01256855847913642, 0.020424289612346026, 0.017074510735731425, 0.011427959915729261, 0.010079345213899806, 0.0096243461913559872, 0.0094247412361509256, 0.0093215579946151171, 0.0092620540880941939, 0.0092249741084215221, 0.0092004979342912175, 0.0091836082215092114, 0.0091715360436606663, 0.0091626573528354807, 0.0091559714495044516, 0.0091508360869955105, 0.0091468247244785184, 0.0091436457031245488, 0.0091410945218772972, 0.0091390246226918572, 0.0091373289372459737, 0.0091359279063480663, 0.0091347615104050428, 0.0091337838521341145, 0.009132959402080679, 0.0091322603506929223, 0.009131664711028456, 0.0091311549395857866, 0.0091307169204900406, 0.00913033920822247, 0.0091300124567889451, 0.009129728984998111, 0.0091294824422459581, 0.009129267549306817, 0.0091290798956557059, 0.0091289157797927959, 0.0091287720825629758, 0.0091286461659999749, 0.0091285357920689383, 0.009128439057036376, 0.0091283543382000409, 0.0091282802504619263, 0.0091282156107928662, 0.0091281594090668952, 0.0091281107840722846, 0.0091280690037597399, 0.0091280334489854155, 0.0091280036001608542, 0.0091279790263440151, 0.0091279593764030179, 0.0091279443719628657, 0.0091279338019098141, 0.0091279275182816061, 0.0091279254334174775, 0.0091279264752207757, 0.0091279296075744403, 0.0091279348513679092, 0.0091279422416116161, 0.009127951827731854, 0.0091279636739893498, 0.0091279778600273764, 0.0091279944815572077, 0.0091280136511907289, 0.0091280354994323076, 0.0091280601758445407, 0.0091280878504054249, 0.0091281187150776977, 0.0091281529856148784, 0.009128190903632984, 0.0091282327389817699, 0.0091282787924554937, 0.0091283293988899967, 0.0091283849307012988, 0.0091284458019304758, 0.0091285124728714417, 0.0091285854553720125, 0.0091286653189153518, 0.0091287526976090161, 0.0091288482982331276, 0.0091289529095285836, 0.0091290674129423047, 0.0091291927950903195, 0.0091293301622535784, 0.0091294807572879742, 0.0091296459794127371, 0.0091298274074440196, 0.0091300268271695059, 0.009130246263721534, 0.0091304880200111134, 0.0091307547225456184, 0.0091310493762859577, 0.0091313754306277944, 0.0091317368591465903, 0.0091321382564708131, 0.0091325849565988097, 0.0091330831782345662, 0.0091336402043978512, 0.0091342646058257832, 0.0091349665207533671, 0.0091357580078704204, 0.009136653495082513, 0.009137670354867209, 0.0091388296485810493, 0.0091401570986602045, 0.0091416843717723444, 0.009143450791545488, 0.0091455056527897753, 0.0091479113903368131, 0.0091507479816824201, 0.0091541191622961805, 0.0091581613558247548, 0.0091630567580174987, 0.0091690529280485239, 0.0091764928482696174, 0.0091858623343581049, 0.0091978671915796117, 0.0092135633809169205, 0.0092345859691497414, 0.0092635720147574204, 0.0093049883741261243, 0.0093668695934927791, 0.0094647925983381807, 0.0096319866900918226, 0.0099486927590639179, 0.010641875710064093, 0.012460007086914623, 0.016935374674527763, 0.016454185475958293, 0.012267786889365353, 0.010624418997250378, 0.0099747243641242489, 0.0096676639230411678, 0.009500931747460608, 0.0094008782372692282, 0.0093362527533583546, 0.0092921094593104627, 0.0092606074488484104, 0.0092373226188151702, 0.0092196084569324942, 0.0092058041932312797, 0.0091948252704496178, 0.0091859391726946214, 0.0091786366977617741, 0.0091725549500354716, 0.0091674296165216596, 0.0091630644648529967, 0.009159311312605091, 0.0091560565531433862, 0.0091532118953864035, 0.0091507078758889283, 0.0091484892335802828, 0.0091465115600126209, 0.0091447388382943588, 0.0091431416110557603, 0.0091416956001558487, 0.0091403806551648929, 0.009139179944096262, 0.0091380793246855548, 0.0091370668516708321, 0.0091361323875429057, 0.0091352672927547587, 0.009134464177491251, 0.0091337167015326359, 0.0091330194119929927, 0.0091323676111169337, 0.0091317572481113708, 0.0091311848303398235, 0.0091306473502323817, 0.0091301422250501182, 0.0091296672472487225, 0.0091292205436583115, 0.0091288005420665612, 0.0091284059440857792, 0.0091280357034191906, 0.0091276890088315341, 0.0091273652712850865, 0.0091270641148317542, 0.0091267853709624744, 0.0091265290762111879, 0.0091262954728966051, 0.0091260850129645504, 0.009125898364969685, 0.0091254914666333217, 0.0091253465997082825, 0.0091255272875199571, 0.0091261317245439604, 0.0091273081872342409, 0.0091292802867799627, 0.0091323890076577766, 0.009137164602527087, 0.0091444539619858455, 0.0091556562322393457, 0.0091731820753217508, 0.0092014077195125936, 0.0092488196873130937, 0.0093333456292265977, 0.0094974811780190026, 0.0098598775732208245, 0.010847103297286897, 0.01485907390853281, 0.055662847817306516, 0.038471002580161034, 0.015980239076858076, 0.012403334107940004, 0.011255201156916377, 0.010781155732112664, 0.010598894631516708, 0.010616689400843574, 0.010886774504517477, 0.011757070344396537, 0.01543750644411343, 0.050727710239251621, 0.014378545751009266, 0.01019467010725904, 0.0095307246820020373, 0.0093365404442522382, 0.009260599448926014, 0.0092252604704815399, 0.0092067196716941, 0.0091960651962082647, 0.0091894745673773825, 0.0091851366761123657, 0.0091821248591702383, 0.0091799346614541248, 0.0091782768222265221, 0.0091769778188889265, 0.0091759292526870373, 0.0091750608184195479, 0.0091743252641317569, 0.0091736897203137224, 0.0091731305439308047, 0.0091726301676868412, 0.0091721751274990541, 0.0091717548007043872, 0.009171360583246255, 0.0091709853438219358, 0.0091706230561374967, 0.0091702685476617724, 0.0091699173257191006, 0.0091695654555691512, 0.0091692094737798168, 0.0091688463257272278, 0.0091684733196494197, 0.0091680880920551044, 0.0091676885808865752, 0.0091672730039276187, 0.0091668398407067156, 0.0091663878166809327, 0.0091659158888686733, 0.0091654232323754841, 0.0091649092274574667, 0.0091643734469121219, 0.009163815643690898, 0.0091632357387015397, 0.0091626338088183455, 0.009162010075150797, 0.0091613648916388582, 0.0091606987340510388, 0.0091600121894605448, 0.0091593059462686914, 0.0091585807848341607, 0.0091578375687538655, 0.0091570772368267054, 0.0091563007957167503, 0.0091555093133177546, 0.0091547039128075085, 0.0091538857673676803, 0.0091530560955343475, 0.0091522161571346832, 0.0091513672497578937, 0.0091505107057023999, 0.0091496478893368371, 0.0091487801948096446, 0.0091479090440401492, 0.0091470358849239791, 0.0091461621896860579, 0.0091452894533161321, 0.0091444191920242793, 0.0091435529416567986, 0.0091426922560168718, 0.0091418387050384835, 0.0091409938727671017, 0.0091401593551056048, 0.0091393367572899162, 0.0091385276910644908, 0.0091377337715344304, 0.0091369566136775184, 0.0091361978285063716, 0.009135459018878243, 0.0091347417749571766, 0.0091340476693407158, 0.0091333782518708221, 0.0091327350441562059, 0.0091321195338402647, 0.0091315331686560308, 0.009130977350315983, 0.0091304534282905404, 0.0091299626935344661, 0.0091295063722248507, 0.009129085619577872, 0.009128701513814055, 0.0091283550503429428, 0.0091280471362381738, 0.0091277785850726132, 0.009127550112180461, 0.0091273623304094012, 0.0091272157464203207, 0.0091271107575858247, 0.0091270476495309161, 0.0091270265943507491, 0.0091270406318913148, 0.0091270827152154354, 0.0091271527565271147, 0.0091272506098210842, 0.0091273760713612047, 0.0091275288803428379, 0.0091277087197320222, 0.0091279152172721902, 0.009128147946647543, 0.0091284064287904757, 0.0091286901333187693, 0.0091289984800872817, 0.0091293308408373075, 0.009129686540926182, 0.0091300648611186436, 0.0091304650394212778, 0.0091308862729406783, 0.0091313277197462867, 0.0091317885007186645, 0.0091322677013646429, 0.0091327643735811381, 0.0091332775373505221, 0.0091338061823513245, 0.0091343492694694502, 0.009134905732196651, 0.009135474477904729, 0.0091360543889859661, 0.0091366443238526541, 0.0091372431177909209, 0.0091378495836670834, 0.0091384625124875853, 0.0091390806738170637, 0.0091397028160626909, 0.0091403276666368587, 0.0091409539320144763, 0.0091415802977058824, 0.0091422054281710061, 0.0091428279667058153, 0.0091434465353373261, 0.0091440597347692831, 0.0091446661444263104, 0.0091452643226503354, 0.0091458528071089694, 0.0091464301154810124, 0.0091469947464898841, 0.0091475451813601474, 0.0091480798857763116, 0.0091485973124255486, 0.0091490959042071149, 0.0091495740981901875, 0.0091500303303985661, 0.0091504630414943524, 0.0091508706834232765, 0.0091512517270709911, 0.0091516046709622396, 0.0091519280510131626, 0.0091522204513206033, 0.0091524805159417053, 0.0091527069615822618, 0.0091528985910738093, 0.0091530543074785295, 0.0091531731286184151, 0.0091532542017828782, 0.0091532968183286687, 0.0091533004278498524, 0.0091532646515660922, 0.0091531892945570445, 0.0091530743564615206, 0.009152920040264384, 0.0091527267588134842, 0.0091524951387445402, 0.009152226021543081, 0.0091519204615399443, 0.0091515797207168403, 0.0091512052602899588, 0.0091507987291374257, 0.0091503619492369105, 0.0091498968983776512, 0.0091494056905016118, 0.0091488905541063439, 0.0091483538092037662, 0.0091477978433707318, 0.0091472250874471053, 0.0091466379914344701, 0.0091460390011241476, 0.0091454305359389074, 0.0091448149684117148, 0.0091441946056511191, 0.0091435716730605444, 0.0091429483004928144, 0.009142326510935786, 0.0091417082117439836, 0.0091410951883578798, 0.0091404891003895768, 0.0091398914799021656, 0.009139303731671343, 0.0091387271351913036, 0.0091381628481722044, 0.0091376119112723114, 0.0091370752538126165, 0.0091365537002339146, 0.0091360479770740879, 0.0091355587202646849, 0.0091350864825703593, 0.0091346317410193195, 0.0091341949041984019, 0.0091337763193101908, 0.0091333762789123918, 0.0091329950272799644, 0.0091326327663491247, 0.0091322896612178756, 0.0091319658451913636, 0.009131661424371558, 0.0091313764817996437, 0.0091311110811665274, 0.0091308652701122921, 0.0091306390831388199, 0.0091304325441624156, 0.0091302456687342819, 0.009130078465957028, 0.009129930940124719, 0.0091298030921129515, 0.0091296949205434477, 0.009129606422745724, 0.0091295375955358343, 0.0091294884358293724, 0.0091294589411031832, 0.0091294491097170024], [0.0085094007457602247, 0.0085094187666324046, 0.0085094728048556532, 0.0085095627874297256, 0.008509688593284848, 0.0085098500541729728, 0.0085100469559063543, 0.0085102790399342234, 0.0085105460052462261, 0.0085108475105889689, 0.0085111831769800611, 0.0085115525905023592, 0.0085119553053595413, 0.0085123908471730313, 0.0085128587164993493, 0.0085133583925462754, 0.0085138893370659743, 0.0085144509984032817, 0.008515042815677441, 0.0085156642230763777, 0.0085163146542433319, 0.008516993546736842, 0.0085177003465464404, 0.0085184345126480231, 0.0085191955215847374, 0.0085199828720611895, 0.0085207960895411199, 0.0085216347308409539, 0.008522498388714413, 0.0085233866964260392, 0.0085242993323145014, 0.0085252360243498488, 0.0085261965546923075, 0.0085271807642641161, 0.0085281885573501286, 0.0085292199062478122, 0.0085302748559927637, 0.0085313535291923082, 0.0085324561310074886, 0.008533582954332852, 0.0085347343852346571, 0.0085359109087218676, 0.0085371131149412464, 0.008538341705909067, 0.0085395975029184494, 0.0085408814547945165, 0.0085421946472113933, 0.008543538313337689, 0.0085449138461431672, 0.0085463228127827789, 0.0085477669715787134, 0.0085492482922526914, 0.0085507689802254965, 0.0085523315060070781, 0.0085539386409586426, 0.0085555935010304188, 0.0085572996004807684, 0.0085590609180842409, 0.0085608819789620427, 0.0085627679559513691, 0.0085647247954114061, 0.0085667593736004546, 0.0085688796913263154, 0.0085710951165783658, 0.00857341668744405, 0.0085758574910126985, 0.0085784331384912149, 0.0085811623628653921, 0.0085840677738320652, 0.0085871768164431529, 0.0085905229965240158, 0.0085941474598760295, 0.0085981010472976384, 0.0086024469994562935, 0.0086072645640406977, 0.0086126538777816595, 0.0086187426834452036, 0.0086256957404727622, 0.008633728274209676, 0.0086431256210688055, 0.0086542726238753465, 0.0086676988129100671, 0.0086841499809768088, 0.0087047055497345392, 0.0087309788528607823, 0.0087654752884751361, 0.0088122695321663311, 0.0088783758672556397, 0.0089767647760847155, 0.0091337592186196172, 0.009409962114484428, 0.009972638412924853, 0.011435155592528067, 0.017511403460194194, 0.053909758490944988, 0.01747719756879175, 0.010868949142169203, 0.0094975005468561375, 0.0090248712004777371, 0.0088138874593688497, 0.0087040707358827674, 0.0086408251246447264, 0.0086017030385874358, 0.0085761872707862032, 0.0085588554643159544, 0.008546699696299849, 0.0085379520443360137, 0.0085315235560707581, 0.0085267170055605551, 0.0085230712156308275, 0.0085202725742381576, 0.0085181026701249378, 0.0085164062094936679, 0.0085150707572847709, 0.0085140136027100112, 0.0085131730429466364, 0.0085125024779773694, 0.008511966335610929, 0.008511537212966545, 0.0085111938419020795, 0.008510919622311576, 0.0085107015532364955, 0.0085105294470600428, 0.0085103953483101832, 0.0085102931027877179, 0.0085102180391679709, 0.0085101667366027801, 0.0085101368599050271, 0.0085101270497663518, 0.0085101291225957148, 0.0085101353681463383, 0.0085101458681036274, 0.0085101607602836304, 0.0085101802411945808, 0.0085102045697272935, 0.0085102340720839866, 0.0085102691480945271, 0.0085103102791151825, 0.008510358037759987, 0.008510413099782007, 0.0085104762585042366, 0.0085105484423030238, 0.0085106307357765369, 0.0085107244053956206, 0.0085108309306451083, 0.0085109520419354816, 0.0085110897669180771, 0.0085112464872990536, 0.0085114250088570483, 0.0085116286481796109, 0.0085118613407195263, 0.0085121277762401533, 0.0085124335697218806, 0.0085127854785609653, 0.0085131916807327755, 0.0085136621339960937, 0.0085142090439116452, 0.0085148474795465386, 0.008515596191960375, 0.0085164787146351801, 0.0085175248612824432, 0.0085187727920758207, 0.0085202719062513511, 0.0085220869575995083, 0.0085243040154445119, 0.0085270392718196537, 0.0085304523457336526, 0.0085347668886150314, 0.0085403034128569248, 0.0085475333113976936, 0.0085571711228841253, 0.0085703391244907334, 0.0085888764419038057, 0.0086159565420005184, 0.0086574176067432881, 0.0087249134583247696, 0.0088443457472603664, 0.0090824316697726629, 0.0096517603225231823, 0.011479417895673777, 0.019292079368462889, 0.017575526567218773, 0.011294733125528355, 0.0097421780167758817, 0.0092031593859963085, 0.0089585123043047464, 0.0088273039503550289, 0.0087486883288989403, 0.008697748804356668, 0.0086627709009183401, 0.0086376583189040519, 0.0086189821529437816, 0.0086046918207864018, 0.0085934986465795761, 0.0085845589265338678, 0.0085773009853696985, 0.0085713259954867324, 0.0085663486487813911, 0.0085621603588852853, 0.0085586057087450387, 0.0085555669549085764, 0.0085529535815767315, 0.0085506951050141593, 0.008548736020397317, 0.0085470321913282809, 0.0085455482297877583, 0.008544255568158422, 0.0085431310227241184, 0.0085421557114535532, 0.0085413142307588369, 0.0085405940240581169, 0.0085399848941746064, 0.0085394786248981711, 0.0085390686863608505, 0.0085387500054968646, 0.008538518787605337, 0.0085383723784682349, 0.0085383091589747526, 0.0085383284660232664, 0.0085384305347896983, 0.0085386164583864874, 0.008538888161569785, 0.0085392483855367702, 0.0085397006810210337, 0.0085402494068569611, 0.0085408997309472795, 0.0085416576301240721, 0.0085425298847297288, 0.0085435240628434286, 0.0085446484879246783, 0.0085459121822306829, 0.0085473247766960758, 0.0085488963760824953, 0.0085506373661972685, 0.0085525581480071517, 0.0085546687817966895, 0.0085569785235411911, 0.0085594952359501798, 0.0085622246589507223, 0.0085651695296739497, 0.0085683285513781966, 0.0085716952252997067, 0.0085752565800553023, 0.0085789918602243598, 0.0085828712682952269, 0.0085868548897540687, 0.0085908919649529888, 0.0085949206962425105, 0.008598868785275068, 0.0086026548731515367, 0.0086061909966274937, 0.008609386073457426, 0.0086121502943938728, 0.0086144001447994931, 0.0086160636324644387, 0.0086170851935993952, 0.0086174297177026172, 0.0086170851935993917, 0.0086160636324644525, 0.0086144001447994913, 0.0086121502943938746, 0.0086093860734574243, 0.0086061909966275076, 0.008602654873151535, 0.0085988687852750663, 0.0085949206962425018, 0.0085908919649529836, 0.0085868548897540739, 0.0085828712682952269, 0.0085789918602243633, 0.0085752565800553023, 0.0085716952252997119, 0.0085683285513781932, 0.0085651695296739515, 0.0085622246589507206, 0.0085594952359501798, 0.0085569785235411894, 0.0085546687817966878, 0.00855255814800715, 0.0085506373661972668, 0.008548896376082497, 0.008547324776696074, 0.0085459121822306829, 0.0085446484879246817, 0.0085435240628434269, 0.0085425298847297305, 0.0085416576301240738, 0.0085408997309472812, 0.0085402494068569593, 0.0085397006810210337, 0.0085392483855367702, 0.008538888161569785, 0.0085386164583864839, 0.0085384305347896983, 0.0085383284660232647, 0.0085383091589747544, 0.0085383723784682349, 0.0085385187876053387, 0.0085387500054968681, 0.0085390686863608522, 0.0085394786248981693, 0.0085399848941746046, 0.0085405940240581187, 0.0085413142307588369, 0.0085421557114535567, 0.0085431310227241149, 0.0085442555681584202, 0.0085455482297877583, 0.0085470321913282757, 0.0085487360203973153, 0.0085506951050141576, 0.0085529535815767263, 0.0085555669549085764, 0.0085586057087450335, 0.0085621603588852801, 0.0085663486487813842, 0.008571325995486722, 0.0085773009853696864, 0.0085845589265338661, 0.0085934986465795535, 0.0086046918207863931, 0.008618982152943792, 0.0086376583189040554, 0.0086627709009183314, 0.0086977488043567218, 0.0087486883288989299, 0.0088273039503551486, 0.0089585123043049997, 0.0092031593859964039, 0.0097421780167757811, 0.011294733125530691, 0.017575526567213999, 0.019292079368461702, 0.011479417895669058, 0.0096517603225229794, 0.0090824316697728016, 0.0088443457472604098, 0.0087249134583246967, 0.0086574176067433714, 0.0086159565420005253, 0.0085888764419038179, 0.0085703391244907386, 0.0085571711228841132, 0.0085475333113976936, 0.0085403034128569179, 0.0085347668886150349, 0.0085304523457336526, 0.0085270392718196589, 0.0085243040154445154, 0.0085220869575995065, 0.0085202719062513494, 0.0085187727920758224, 0.0085175248612824449, 0.0085164787146351784, 0.0085155961919603767, 0.0085148474795465369, 0.0085142090439116452, 0.0085136621339960937, 0.008513191680732772, 0.0085127854785609601, 0.0085124335697218789, 0.008512127776240155, 0.0085118613407195228, 0.0085116286481796092, 0.0085114250088570483, 0.0085112464872990554, 0.0085110897669180806, 0.0085109520419354816, 0.0085108309306451101, 0.0085107244053956223, 0.0085106307357765351, 0.0085105484423030255, 0.0085104762585042366, 0.008510413099782007, 0.0085103580377599835, 0.0085103102791151825, 0.0085102691480945306, 0.0085102340720839848, 0.0085102045697272883, 0.0085101802411945808, 0.0085101607602836304, 0.0085101458681036291, 0.0085101353681463401, 0.0085101291225957148, 0.0085101270497663483, 0.0085101280855893781, 0.0085101311994637378, 0.0085101364106569561, 0.0085101437514546602, 0.0085101532674226026, 0.0085101650177784385, 0.0085101790758783172, 0.0085101955298248835, 0.008510214483205181, 0.0085102360559687895, 0.0085102603854586671, 0.0085102876276096848, 0.0085103179583325313, 0.0085103515751038215, 0.008510388698786963, 0.0085104295757124603, 0.0085104744800513377, 0.0085105237165211504, 0.0085105776234708375, 0.0085106365763986478, 0.0085107009919670202, 0.0085107713325896263, 0.0085108481116791986, 0.0085109318996613292, 0.0085110233308787545, 0.0085111231115344264, 0.0085112320288504538, 0.0085113509616548174, 0.0085114808926506792, 0.0085116229226754863, 0.0085117782873218896, 0.008511948376372605, 0.0085121347566011803, 0.0085123391986153714, 0.0085125637085765454, 0.0085128105658267908, 0.0085130823677069603, 0.0085133820831705103, 0.0085137131172116891, 0.0085140793886615013, 0.0085144854246022722, 0.0085149364755661358, 0.0085154386568922543, 0.0085159991232288748, 0.0085166262853319536, 0.0085173300812482443, 0.008518122317989929, 0.00851901710536551, 0.0085200314113994067, 0.008521185779756673, 0.0085225052653127558, 0.0085240206668191348, 0.0085257701691849302, 0.0085278015580673994, 0.0085301752457211822, 0.0085329684650941248, 0.0085362811755452014, 0.0085402445243791657, 0.008545033205722535, 0.0085508839026723644, 0.0085581234754790007, 0.0085672132285758915, 0.0085788206005745198, 0.0085939394349127604, 0.0086141001645551538, 0.0086417551231737812, 0.0086810261079826243, 0.0087392571410889984, 0.0088305200342490269, 0.0089843911547759989, 0.009270961939280134, 0.0098841986931332108, 0.011459172681563922, 0.015666308220977202, 0.016695860557737714, 0.012083605718739714, 0.010156967991486049, 0.0094194367570618488, 0.009080334578548975, 0.0088997504638107794, 0.0087928913407607258, 0.0087245903087734399, 0.0086783155621069068, 0.0086455083620990622, 0.0086213898976185317, 0.008603125591524978, 0.0085889490600038112, 0.0085777135370222954, 0.0085686483646628189, 0.0085612201428463142, 0.0085550501676849525, 0.0085498635331416068, 0.0085454567496048, 0.0085416765653906924, 0.0085384057720955652, 0.0085355534809216527, 0.008533048330084194, 0.0085308336552721523, 0.0085288640004810828, 0.0085271025602544088, 0.0085255192795991915, 0.0085240894251584313, 0.0085227924986541886, 0.0085216114020412945, 0.0085205317899259263, 0.008519541562811709, 0.0085186304673219911, 0.0085177897784549997, 0.0085170120453073057, 0.0085162908863192343, 0.0085156208234739659, 0.0085149971473774486, 0.0085144158070063359, 0.0085138733193103801, 0.0085133666949168824, 0.0085128933769964676, 0.0085124511909752919, 0.0085120383032654991, 0.0085116531875671746, 0.0085112945975972191, 0.0085109615453418438, 0.0085106532841247758, 0.0085103692959432667, 0.0085101092826575121, 0.0085098731607325361, 0.0085096610593302768, 0.0085094733216384034, 0.0085093105094039383, 0.0085089807086386974, 0.0085089187664747247, 0.0085091840034439079, 0.0085098683794362986, 0.0085111102476772178, 0.008513116779013662, 0.0085162009363696708, 0.0085208439155164371, 0.0085278040787884982, 0.0085383147987689104, 0.0085544616650342527, 0.0085799452257329899, 0.0086217388218438797, 0.0086940341547939604, 0.0088288038285504172, 0.0091089629866676954, 0.0097994216982428689, 0.012095150494822378, 0.026620438830205886, 0.084338501695046419, 0.020471857582913051, 0.013228949457970606, 0.011337909324420992, 0.010630788457383716, 0.010379454607293073, 0.010428485838340674, 0.010881179039100294, 0.012458377516520677, 0.021203170291763433, 0.038496274923811385, 0.01147518899717989, 0.0093088165862150688, 0.0088498186928667802, 0.0086979078916138795, 0.0086342698247500876, 0.0086032912655105587, 0.0085864938336639302, 0.0085765877410386368, 0.0085703283034894353, 0.0085661346716910253, 0.0085631798725619591, 0.0085610053503959553, 0.0085593439390657441, 0.0085580330680599549, 0.0085569698424663079, 0.0085560867079423272, 0.0085553377404340818, 0.0085546906540917983, 0.0085541220008564078, 0.008553614209585763, 0.0085531537161038732, 0.0085527297569823902, 0.0085523335765708228, 0.0085519578967383908, 0.0085515965567896507, 0.0085512442654692659, 0.0085508964278819821, 0.0085505490231018721, 0.0085501985164150932, 0.0085498417953893766, 0.0085494761223958333, 0.0085490990984917938, 0.0085487086351182448, 0.0085483029311283418, 0.0085478804534066064, 0.0085474399198655557, 0.0085469802839854125, 0.0085465007203370628, 0.0085460006107287, 0.0085454795307620315, 0.0085449372366890319, 0.0085443736525341856, 0.0085437888574978419, 0.0085431830736882718, 0.0085425566542483879, 0.0085419100719502528, 0.0085412439083298198, 0.0085405588434277827, 0.0085398556461917016, 0.0085391351655814129, 0.0085383983224051434, 0.0085376461018989123, 0.008536879547047134, 0.0085360997526289124, 0.0085353078599619912, 0.0085345050523056784, 0.0085336925508750251, 0.008532871611411013, 0.0085320435212459557, 0.0085312095967991618, 0.0085303711814353009, 0.0085295296436165777, 0.0085286863752798113, 0.0085278427903703602, 0.0085270003234667602, 0.0085261604284325894, 0.0085253245770352572, 0.0085244942574755848, 0.0085236709727761796, 0.0085228562389817204, 0.0085220515831293722, 0.0085212585409534126, 0.0085204786542939677, 0.0085197134681861686, 0.0085189645276127074, 0.0085182333739094989, 0.008517521540821256, 0.0085168305502112338, 0.008516161907436379, 0.0085155170964067925, 0.0085148975743556884, 0.0085143047663529866, 0.0085137400596028163, 0.0085132047975715591, 0.0085127002739989934, 0.0085122277268504642, 0.0085117883322723929, 0.0085113831986170212, 0.0085110133606047782, 0.0085106797736938557, 0.0085103833087268321, 0.0085101247469226895, 0.0085099047752801808, 0.0085097239824545208, 0.0085095828551640523, 0.0085094817751773695, 0.0085094210169235976, 0.0085094007457602247, 0.0085094142605916922, 0.0085094547769136632, 0.008509522210302798, 0.0085096164203655004, 0.0085097372112022431, 0.0085098843320504016, 0.0085100574780984702, 0.0085102562914625961, 0.0085104803623147658, 0.0085107292301501263, 0.0085110023851796262, 0.0085112992698326752, 0.0085116192803535908, 0.008511961768474444, 0.0085123260431463899, 0.0085127113723109347, 0.0085131169846922559, 0.0085135420715918529, 0.0085139857886666476, 0.0085144472576722859, 0.0085149255681538638, 0.0085154197790672133, 0.0085159289203149031, 0.0085164519941824182, 0.0085169879766615053, 0.0085175358186494517, 0.0085180944470149775, 0.0085186627655237605, 0.0085192396556189771, 0.0085198239770551323, 0.0085204145683862777, 0.0085210102473131551, 0.0085216098108973765, 0.0085222120356544789, 0.0085228156775421157, 0.0085234194718639862, 0.0085240221331149765, 0.0085246223547981552, 0.0085252188092495226, 0.0085258101475122177, 0.0085263949993074732, 0.0085269719731557135, 0.0085275396567068024, 0.0085280966173442267, 0.0085286414031333982, 0.0085291725441886332, 0.0085296885545375605, 0.008530187934563992, 0.0085306691741115735, 0.0085311307563294414, 0.0085315711623379278, 0.0085319888767860161, 0.0085323823943628894, 0.0085327502273125789, 0.0085330909139833926, 0.008533403028422204, 0.008533685190997304, 0.0085339360800030621, 0.0085341544441648511, 0.0085343391159243848, 0.008534489025344703, 0.0085346032144317987, 0.0085346808516276358, 0.0085347212461894841, 0.0085347238621346477, 0.0085346883314007492, 0.0085346144658518374, 0.0085345022677520473, 0.0085343519383337431, 0.0085341638841071078, 0.0085339387205944604, 0.0085336772732247535, 0.0085333805751913322, 0.0085330498621569197, 0.0085326865637808721, 0.0085322922921418198, 0.0085318688272284712, 0.0085314180997684702, 0.0085309421717540534, 0.0085304432150995063, 0.0085299234889249596, 0.0085293853160001449, 0.0085288310588995195, 0.0085282630964149606, 0.0085276838007456376, 0.0085270955159386305, 0.0085265005379911198, 0.0085259010969506461, 0.0085252993412668898, 0.0085246973245629958, 0.0085240969949095125, 0.0085235001866045042, 0.0085229086143915975, 0.0085223238699868795, 0.0085217474207361643, 0.0085211806101874957, 0.0085206246603395132, 0.0085200806753133133, 0.0085195496461931888, 0.0085190324567877146, 0.0085185298900760306, 0.0085180426351228276, 0.008517571294267598, 0.0085171163904181908, 0.0085166783743037908, 0.0085162576315673481, 0.0085158544896012552, 0.0085154692240522693, 0.0085151020649415644, 0.0085147532023635703, 0.0085144227917425298, 0.0085141109586383875, 0.0085138178031044925, 0.0085135434036076891, 0.0085132878205281624, 0.0085130510992610375, 0.0085128332729449974, 0.0085126343648453118, 0.0085124543904194373, 0.0085122933590934813, 0.0085121512757769108, 0.0085120281421418222, 0.0085119239576908947, 0.0085118387206363395, 0.0085117724286093762, 0.0085117250792171271, 0.0085116966704610591, 0.0085116872010279065], [0.0078911160427817487, 0.0078911331327913576, 0.0078911843799291722, 0.0078912697156962464, 0.0078913890265066271, 0.0078915421545512586, 0.0078917288989985065, 0.00789194901752251, 0.0078922022281483206, 0.0078924882114006448, 0.0078928066127411933, 0.0078931570452779425, 0.0078935390927281322, 0.0078939523126158942, 0.0078943962396843433, 0.0078948703895015959, 0.0078953742622397925, 0.0078959073466064785, 0.0078964691239077553, 0.0078970590722236139, 0.007897676670676498, 0.0078983214037755597, 0.0078989927658204354, 0.0078996902653500518, 0.0079004134296239859, 0.0079011618091259731, 0.0079019349820815422, 0.0079027325589842885, 0.0079035541871280597, 0.0079043995551453718, 0.0079052683975554035, 0.0079061604993286398, 0.0079070757004788203, 0.0079080139006972201, 0.0079089750640488257, 0.0079099592237554736, 0.0079109664870969966, 0.0079119970404686359, 0.0079130511546415139, 0.0079141291902830244, 0.0079152316038064545, 0.0079163589536342081, 0.0079175119069776929, 0.0079186912472600981, 0.0079198978823371985, 0.0079211328537074337, 0.0079223973469479299, 0.0079236927036698684, 0.007925020435358289, 0.0079263822395510379, 0.00792778001892455, 0.0079292159039955727, 0.0079306922803258576, 0.0079322118213392984, 0.0079337775281402637, 0.0079353927780711903, 0.0079370613841850714, 0.0079387876683569437, 0.0079405765514463118, 0.0079424336647880619, 0.0079443654883821838, 0.0079463795225401066, 0.0079484845015198834, 0.0079506906599724186, 0.0079530100660098399, 0.0079554570386582129, 0.0079580486727560632, 0.007960805501576294, 0.0079637523374328431, 0.0079669193445659238, 0.0079703434186345744, 0.0079740699761928976, 0.0079781553002903193, 0.0079826696522794817, 0.0079877014570959633, 0.0079933630195754071, 0.0079997984663499125, 0.0080071949895983239, 0.0080157990988213631, 0.0080259406547601494, 0.0080380693264359496, 0.0080528114905960256, 0.0080710619515579306, 0.0080941373793871826, 0.0081240443337619352, 0.0081639719964159679, 0.0082192554641817225, 0.0082994067610561422, 0.0084228246884454159, 0.0086291587623697971, 0.0090177431131440548, 0.0099003757534591331, 0.012701926642174696, 0.030078715493922912, 0.0321128760515378, 0.012157837791668021, 0.0093855854738796249, 0.0086061212967755985, 0.008293445650285957, 0.0081408454443906656, 0.0080565890467755898, 0.0080059638887763664, 0.007973620449926647, 0.0079519744389215836, 0.0079369530143646935, 0.0079262225433125288, 0.0079183746600726967, 0.0079125224825676334, 0.0079080873582677916, 0.0079046802362446218, 0.0079020327265828267, 0.007899955509656156, 0.0078983124212433729, 0.0078970038433732251, 0.0078959557919464247, 0.0078951125879484305, 0.0078944318382414488, 0.0078938809376079104, 0.007893434592745989, 0.0078930730452827016, 0.0078927807809623315, 0.0078925455823336647, 0.0078923578278461554, 0.0078922099704213568, 0.0078920961488647325, 0.0078920118993879348, 0.0078919539442170328, 0.0078919200411879491, 0.0078919088833136926, 0.0078919110248931289, 0.0078919174752539092, 0.0078919283117165392, 0.0078919436646713859, 0.0078919637199078678, 0.0078919887219669627, 0.0078920189786132657, 0.0078920548665572278, 0.0078920968385981713, 0.0078921454324064524, 0.007892201281220753, 0.0078922651268074108, 0.0078923378351165446, 0.0078924204151798755, 0.0078925140419344401, 0.0078926200838333842, 0.0078927401363326245, 0.007892876062635671, 0.0078930300434613791, 0.0078932046381003027, 0.0078934028596875285, 0.0078936282685011933, 0.0078938850882793125, 0.0078941783521502846, 0.0078945140869633307, 0.007894899547829546, 0.0078953435189032077, 0.0078958567023845721, 0.0078964522262220255, 0.0078971463132783744, 0.0078979591727414058, 0.007898916201370898, 0.0079000496227285832, 0.0079014007549660734, 0.0079030231957071383, 0.0079049873695441943, 0.0079073871411180861, 0.007910349629895147, 0.0079140501125137316, 0.0079187352383205695, 0.0079247602650768315, 0.0079326508084739816, 0.0079432092737240691, 0.0079577067770725887, 0.0079782482774077394, 0.0080085136196471011, 0.0080553859790662326, 0.008132907846303503, 0.0082732302336757362, 0.0085627585323822183, 0.0092950458493285121, 0.011873167993012716, 0.021754476588105746, 0.014804852737552707, 0.010161760892393663, 0.0089624491687047263, 0.0085162203701070627, 0.0083047997477172317, 0.008188219443058491, 0.0081170227313145989, 0.0080702507620383553, 0.0080378020360522533, 0.0080143202573185364, 0.0079967484561016457, 0.0079832370347251713, 0.0079726125167763756, 0.0079641005378740838, 0.0079571729181009496, 0.0079514590961779971, 0.0079466927062303728, 0.0079426782028062994, 0.0079392693647885228, 0.0079363550745676151, 0.0079338496848434612, 0.0079316863542234495, 0.007929812349083883, 0.0079281856751914435, 0.0079267726258163435, 0.0079255459725142384, 0.0079244836137721819, 0.0079235675546772497, 0.0079227831291982, 0.0079221184025789135, 0.0079215637090763319, 0.0079211112925851677, 0.0079207550263443727, 0.0079204901940717869, 0.0079203133192877456, 0.0079202220327792925, 0.0079202149704708149, 0.00792029169564149, 0.007920452640627143, 0.0079206990639735537, 0.0079210330195445145, 0.0079214573343782211, 0.0079219755921584884, 0.0079225921190381188, 0.0079233119682239322, 0.0079241408992059611, 0.0079250853467813642, 0.0079261523740850725, 0.0079273496026996213, 0.0079286851115988096, 0.0079301672952358376, 0.0079318046696110461, 0.0079336056138065627, 0.0079355780334985863, 0.007937728932705744, 0.0079400638809858266, 0.0079425863660728645, 0.0079452970272941049, 0.00794819277382958, 0.0079512658047293239, 0.0079545025650827623, 0.0079578826947819988, 0.0079613780519411405, 0.0079649519198786781, 0.0079685585306118467, 0.0079721430532745819, 0.0079756421956637003, 0.0079789855439653026, 0.0079820977140704977, 0.0079849013064111421, 0.007987320550214963, 0.0079892854058090119, 0.0079907357857275912, 0.0079916254813787949, 0.0079919253641739987, 0.0079916254813787915, 0.0079907357857276016, 0.0079892854058090084, 0.0079873205502149613, 0.0079849013064111421, 0.0079820977140705116, 0.0079789855439652974, 0.0079756421956636986, 0.0079721430532745732, 0.0079685585306118398, 0.0079649519198786867, 0.007961378051941137, 0.007957882694782004, 0.007954502565082764, 0.0079512658047293273, 0.0079481927738295766, 0.0079452970272941067, 0.007942586366072861, 0.0079400638809858284, 0.0079377289327057423, 0.0079355780334985811, 0.0079336056138065627, 0.0079318046696110461, 0.0079301672952358376, 0.0079286851115988079, 0.0079273496026996196, 0.0079261523740850725, 0.0079250853467813624, 0.0079241408992059593, 0.0079233119682239322, 0.0079225921190381205, 0.0079219755921584884, 0.0079214573343782194, 0.0079210330195445162, 0.0079206990639735537, 0.0079204526406271413, 0.0079202916956414883, 0.0079202149704708132, 0.0079202220327792942, 0.0079203133192877456, 0.0079204901940717904, 0.0079207550263443727, 0.0079211112925851659, 0.0079215637090763319, 0.0079221184025789117, 0.0079227831291982, 0.007923567554677248, 0.0079244836137721802, 0.0079255459725142349, 0.0079267726258163401, 0.0079281856751914435, 0.0079298123490838777, 0.007931686354223446, 0.007933849684843456, 0.0079363550745676081, 0.0079392693647885211, 0.0079426782028062925, 0.0079466927062303641, 0.0079514590961779884, 0.0079571729181009427, 0.0079641005378740665, 0.0079726125167763739, 0.0079832370347251436, 0.0079967484561016336, 0.0080143202573185485, 0.0080378020360522568, 0.0080702507620383397, 0.0081170227313146701, 0.0081882194430584736, 0.008304799747717426, 0.0085162203701074982, 0.0089624491687049206, 0.010161760892393451, 0.014804852737560315, 0.021754476588109885, 0.011873167993012376, 0.0092950458493269144, 0.0085627585323821039, 0.0082732302336757935, 0.0081329078463035272, 0.0080553859790661805, 0.0080085136196471635, 0.0079782482774077429, 0.0079577067770726009, 0.0079432092737240709, 0.0079326508084739712, 0.007924760265076828, 0.0079187352383205643, 0.007914050112513735, 0.0079103496298951487, 0.0079073871411180895, 0.0079049873695441978, 0.0079030231957071366, 0.0079014007549660734, 0.0079000496227285815, 0.0078989162013708963, 0.0078979591727414075, 0.0078971463132783744, 0.0078964522262220255, 0.0078958567023845721, 0.0078953435189032112, 0.007894899547829546, 0.0078945140869633289, 0.0078941783521502829, 0.0078938850882793107, 0.0078936282685011933, 0.007893402859687525, 0.0078932046381003009, 0.0078930300434613791, 0.0078928760626356727, 0.0078927401363326228, 0.0078926200838333842, 0.0078925140419344383, 0.0078924204151798721, 0.0078923378351165429, 0.0078922651268074125, 0.0078922012812207547, 0.0078921454324064524, 0.0078920968385981713, 0.0078920548665572261, 0.0078920189786132657, 0.007891988721966961, 0.0078919637199078678, 0.0078919436646713859, 0.0078919283117165409, 0.0078919174752539109, 0.0078919110248931289, 0.0078919088833136909, 0.0078919099535360564, 0.007891913170182242, 0.0078919185512359609, 0.0078919261268253771, 0.007891935939458217, 0.0078919480443551873, 0.0078919625098860524, 0.0078919794181141895, 0.0078919988654568753, 0.0078920209634702407, 0.0078920458397696916, 0.0078920736390986675, 0.0078921045245609143, 0.0078921386790342211, 0.0078921763067865067, 0.007892217635318919, 0.007892262917464506, 0.0078923124337760605, 0.0078923664952423294, 0.0078924254463784236, 0.0078924896687442431, 0.0078925595849540751, 0.0078926356632516067, 0.0078927184227379887, 0.0078928084393566269, 0.0078929063527573215, 0.0078930128741860617, 0.0078931287955743626, 0.0078932550000368265, 0.0078933924740270337, 0.0078935423214535113, 0.0078937057801206217, 0.0078938842409376174, 0.0078940792704364424, 0.0078942926372604794, 0.0078945263434392881, 0.0078947826614571281, 0.0078950641783679006, 0.0078953738485215419, 0.0078957150568684711, 0.007896091695327366, 0.0078965082553768898, 0.0078969699409169765, 0.0078974828066138217, 0.0078980539284980583, 0.0078986916156727656, 0.0078994056748143519, 0.0079002077430122553, 0.0079011117098268628, 0.0079021342568874955, 0.0079032955538577074, 0.0079046201646062325, 0.0079061382391561637, 0.0079078870989026072, 0.0079099133701848161, 0.0079122758934631124, 0.0079150497467578365, 0.0079183318974205864, 0.0079222492785281425, 0.0079269705511706597, 0.0079327236004054693, 0.0079398221824462187, 0.0079487076056537209, 0.0079600159301413329, 0.0079746901300478436, 0.0079941749577452856, 0.0080207717303731538, 0.0080583211334258036, 0.008113607850018148, 0.0081994948524466739, 0.0083426593657894062, 0.0086052609952768366, 0.0091558502060292996, 0.010539330090211817, 0.014399925041454081, 0.016812278689299156, 0.011938378134380213, 0.0096979312808327302, 0.0088649740210414961, 0.0084922227336838903, 0.0082974799551107075, 0.0081838142177206689, 0.0081119057022270447, 0.0080635756150583583, 0.0080295320640002173, 0.0080046388873755026, 0.0079858742452375286, 0.00797136767193171, 0.0079599116705539978, 0.0079506986756101902, 0.0079431720712307523, 0.0079369381138783748, 0.0079317119044503923, 0.007927283166239002, 0.0079234939493290617, 0.0079202237388996313, 0.0079173792857672315, 0.0079148875223695563, 0.0079126905389209252, 0.0079107419623722468, 0.0079090043077042534, 0.0079074470142019571, 0.0079060449715030404, 0.007904777400662753, 0.0079036269958228777, 0.0079025792594306452, 0.0079016219827792965, 0.0079007448367741512, 0.0078999390471053404, 0.007899197134640424, 0.0078985127066437903, 0.007897880287931076, 0.0078972951836493999, 0.0078967533672969423, 0.0078962513890396546, 0.0078957863004770409, 0.0078953555928450141, 0.0078949571462876168, 0.0078945891883296787, 0.0078942502600743703, 0.0078939391889594947, 0.0078936550671541064, 0.0078933972348771801, 0.0078931652680841787, 0.0078929589701042663, 0.0078927783669272226, 0.0078926237059405886, 0.0078924954580086183, 0.0078922773904208151, 0.0078923372599220189, 0.0078927312118049209, 0.007893546472495766, 0.0078949137036614641, 0.0078970270637755448, 0.0079001769867604651, 0.0079048048583211031, 0.0079115969780490774, 0.0079216521779455484, 0.0079367946327539123, 0.0079601902090218734, 0.0079976438918089917, 0.0080605644647328504, 0.0081734867803615798, 0.0083959988287050941, 0.0089003383854366555, 0.010339798097225969, 0.016751131475805869, 0.082458271417187007, 0.03330670296395094, 0.015350985180644173, 0.011876588227060005, 0.010739529282888941, 0.010371715836516871, 0.010485019984483058, 0.011302048929449249, 0.014534476546423548, 0.039199520713307012, 0.019800994472890986, 0.0097892532996681873, 0.0085182801986272757, 0.0081853375658491774, 0.0080632606869137265, 0.0080088849101293512, 0.007981273353770189, 0.0079658158519094868, 0.0079564634768758257, 0.007950427481724141, 0.0079463117167572848, 0.0079433695170449299, 0.0079411790270920053, 0.0079394903814940104, 0.0079381492580813014, 0.0079370566374455213, 0.0079361466818629114, 0.0079353741101083567, 0.0079347067513624355, 0.0079341210242837301, 0.0079335991201761949, 0.0079331272067731957, 0.0079326942587298905, 0.0079322912817337485, 0.0079319107889459679, 0.007931546442215524, 0.0079311928026784446, 0.0079308451550276736, 0.0079304993820084775, 0.0079301518734902349, 0.0079297994595088298, 0.0079294393599937691, 0.007929069146117327, 0.0079286867097175771, 0.0079282902382956551, 0.0079278781938255105, 0.0079274492941408033, 0.0079270024960441283, 0.0079265369795605521, 0.0079260521329605274, 0.0079255475383248584, 0.0079250229575316619, 0.0079244783186207448, 0.0079239137025426364, 0.0079233293303324209, 0.0079227255507673157, 0.0079221028285745617, 0.0079214617332557091, 0.0079208029285868873, 0.0079201271628441521, 0.0079194352597898952, 0.0079187281104418934, 0.0079180066656319228, 0.0079172719293465043, 0.0079165249528291345, 0.0079157668294112804, 0.007914998690029186, 0.0079142216993748297, 0.0079134370526223706, 0.0079126459726664676, 0.0079118497078047648, 0.007911049529795185, 0.0079102467322172739, 0.0079094426290675316, 0.007908638553519691, 0.0079078358567831863, 0.0079070359069958567, 0.0079062400880905003, 0.0079054497985789462, 0.007904666450201818, 0.0079038914663970769, 0.0079031262805458139, 0.0079023723339592868, 0.0079016310735772078, 0.0079009039493534976, 0.0079001924113121947, 0.0078994979062628635, 0.007898821874171881, 0.0078981657441929125, 0.00789753093036712, 0.00789691882701073, 0.0078963308038149556, 0.0078957682006898788, 0.0078952323223909424, 0.0078947244329728786, 0.0078942457501217141, 0.0078937974394207369, 0.0078933806086106447, 0.0078929963019075833, 0.0078926454944453044, 0.007892329086908928, 0.0078920479004278999, 0.0078918026717946371, 0.0078915940490727667, 0.007891422587655253, 0.0078912887468274469, 0.0078911928868841304, 0.007891135266842101, 0.0078911160427817487, 0.0078911288595019287, 0.0078911672830444292, 0.007891231233644963, 0.0078913205786613483, 0.0078914351330174031, 0.0078915746598174179, 0.007891738871124189, 0.0078919274288919688, 0.0078921399460437861, 0.007892375987681121, 0.0078926350724124478, 0.0078929166737858308, 0.0078932202218097644, 0.0078935451045454626, 0.0078938906697531112, 0.0078942562265741506, 0.0078946410472312857, 0.0078950443687279947, 0.0078954653945292764, 0.0078959032962059115, 0.0078963572150250322, 0.0078968262634706056, 0.0078973095266785167, 0.0078978060637721059, 0.0078983149090856089, 0.0078988350732645506, 0.0078993655442340886, 0.0078999052880285615, 0.007900453249477718, 0.0079010083527480263, 0.0079015695017401015, 0.0079021355803466815, 0.0079027054525790726, 0.0079032779625736148, 0.0079038519344939925, 0.0079044261723494828, 0.0079049994597540849, 0.0079055705596563289, 0.0079061382140749956, 0.0079067011438814522, 0.0079072580486749429, 0.0079078076068031349, 0.0079083484755858007, 0.0079088792918052524, 0.0079093986725323768, 0.0079099052163617185, 0.0079103975051329472, 0.007910874106218645, 0.007911333575459454, 0.007911774460826795, 0.0079121953068901022, 0.0079125946601595835, 0.0079129710753660723, 0.0079133231227265979, 0.0079136493962272559, 0.0079139485229334228, 0.0079142191733117418, 0.0079144600725178163, 0.0079146700125694944, 0.0079148478652876983, 0.0079149925958463506, 0.0079151032767313771, 0.0079151791018671445, 0.0079152194006293971, 0.0079152236514289289, 0.0079151914945216895, 0.0079151227436821629, 0.0079150173963688196, 0.0079148756420164348, 0.0079146978681104742, 0.0079144846637356232, 0.0079142368203426062, 0.0079139553295452005, 0.0079136413778394255, 0.0079132963382274654, 0.0079129217588252629, 0.0079125193486310232, 0.00791209096072658, 0.0079116385732701782, 0.0079111642687126216, 0.0079106702117253923, 0.0079101586263657236, 0.0079096317730183892, 0.0079090919256466045, 0.0079085413498556894, 0.0079079822822257385, 0.007907416911306156, 0.007906847360590297, 0.0079062756737063641, 0.0079057038019763482, 0.0079051335944119918, 0.0079045667901393116, 0.0079040050131744897, 0.007903449769415604, 0.0079029024456684551, 0.0079023643104907428, 0.0079018365166172791, 0.0079013201047181923, 0.0079008160082416328, 0.0079003250591002609, 0.0078998479939750704, 0.007899385461029489, 0.0078989380268490398, 0.0078985061834462977, 0.0078980903551955101, 0.0078976909055857424, 0.0078973081437043475, 0.0078969423303839777, 0.0078965936839652667, 0.0078962623856442867, 0.007895948584388017, 0.0078956524014132078, 0.0078953739342336113, 0.0078951132602884735, 0.0078948704401707523, 0.0078946455204780223, 0.0078944385363116515, 0.0078942495134515026, 0.0078940784702340883, 0.0078939254191617691, 0.0078937903682697545, 0.0078936733222762685, 0.0078935742835392741, 0.0078934932528410273, 0.0078934302300193021, 0.007893385214461375, 0.0078933582054742345, 0.0078933492025414446], [0.0074204842438696577, 0.0074205008817020534, 0.0074205507730659252, 0.0074206338517340499, 0.0074207500079021566, 0.0074208990890461098, 0.0074210809011130661, 0.0074212952100379363, 0.0074215417435741678, 0.0074218201934258248, 0.0074221302176661081, 0.0074224714434258272, 0.0074228434698338846, 0.0074232458711908896, 0.0074236782003561617, 0.0074241399923278177, 0.0074246307679956079, 0.0074251500380462026, 0.0074256973070010151, 0.0074262720773675354, 0.007426873853885985, 0.0074275021478545583, 0.007428156481517934, 0.0074288363925056698, 0.0074295414383090813, 0.0074302712007874487, 0.0074310252906970116, 0.0074318033522388291, 0.0074326050676245276, 0.0074334301616623367, 0.0074342784063689236, 0.0074351496256167713, 0.0074360436998305839, 0.0074369605707510934, 0.0074379002462896483, 0.0074388628055029838, 0.007439848403724296, 0.0074408572778947059, 0.0074418897521487427, 0.0074429462437186249, 0.0074440272692360481, 0.0074451334515268312, 0.0074462655270144951, 0.0074474243538745783, 0.007448610921113109, 0.0074498263587827983, 0.0074510719495999838, 0.0074523491422879675, 0.0074536595670505971, 0.0074550050536782743, 0.0074563876529118965, 0.007457809661845255, 0.0074592736543408079, 0.0074607825176779283, 0.0074623394969590591, 0.007463948249183853, 0.0074656129093846509, 0.007467338171824536, 0.0074691293900255853, 0.0074709927003642849, 0.0074729351752026519, 0.0074749650130979612, 0.0074770917756622965, 0.0074793266832811189, 0.0074816829853705568, 0.0074841764254770671, 0.0074868258277727183, 0.0074896538400718773, 0.007492687880438745, 0.007495961351355029, 0.0074995152097048004, 0.0075034000162840118, 0.0075076786411011785, 0.0075124298799308827, 0.0075177533589703971, 0.0075237762939927809, 0.0075306629724635182, 0.0075386283195956333, 0.0075479577331061818, 0.0075590367895697359, 0.007572396947199184, 0.0075887880231580648, 0.0076092971781646507, 0.0076355522279207147, 0.0076700857495977694, 0.007717024711965996, 0.007783488638493926, 0.0078826745304250122, 0.0080414420698435747, 0.0083218552795030383, 0.0088960895013477891, 0.010400963083165187, 0.016772908467820785, 0.056882159788525191, 0.016621363867329216, 0.0098509963146771861, 0.0084467354423767328, 0.0079605367987812467, 0.0077423573708620859, 0.0076281730991574698, 0.0075620349541625021, 0.0075208759525367654, 0.0074938589823134935, 0.00747538137246085, 0.0074623265596987709, 0.007452857623451793, 0.0074458398758312904, 0.0074405446820755942, 0.0074364886418888934, 0.0074333420135597366, 0.0074308744179851062, 0.0074289215087332723, 0.0074273638855994299, 0.0074261133965970822, 0.0074251040292942754, 0.0074242857269004089, 0.0074236201115298163, 0.007423077477084844, 0.0074226346433648614, 0.007422273404535381, 0.0074219793944122515, 0.007421741248520481, 0.0074215499805969556, 0.007421398516369397, 0.0074212813445197331, 0.0074211942565278275, 0.007421134155380228, 0.0074210989190857581, 0.0074210873093428099, 0.0074210894163141902, 0.0074210957611890831, 0.0074211064162600935, 0.0074211215033937817, 0.0074211411961384467, 0.0074211657227555078, 0.0074211953702589192, 0.0074212304895769875, 0.0074212715019857343, 0.0074213189070042882, 0.0074213732919924018, 0.007421435343751095, 0.0074215058625024576, 0.0074215857787183707, 0.0074216761733857696, 0.0074217783024453712, 0.0074218936263315176, 0.0074220238457859255, 0.007422170945435346, 0.0074223372470369675, 0.0074225254748387648, 0.007422738836221055, 0.0074229811217448715, 0.0074232568300232078, 0.0074235713245825591, 0.0074239310322814309, 0.007424343696172387, 0.0074248187003367961, 0.0074253674907881814, 0.0074260041259419547, 0.0074267460037874215, 0.0074276148329617724, 0.0074286379448954502, 0.0074298500897087751, 0.0074312959289017334, 0.0074330335488158577, 0.0074351394975566646, 0.0074377161428484297, 0.0074409026474581367, 0.0074448917291177396, 0.0074499559396946384, 0.0074564901290414863, 0.0074650824723887267, 0.0074766381297871418, 0.0074926049032978496, 0.0075154087392927931, 0.0075493532231621094, 0.0076026401354782423, 0.0076924191235078201, 0.0078593043057841212, 0.0082179110516140148, 0.0091877672722936489, 0.012974304927777326, 0.022770514099463846, 0.012627948004775558, 0.0092935198168368326, 0.0083585855902776479, 0.0079869083439933521, 0.0078034449795234351, 0.0076995173701634679, 0.0076348400600481665, 0.0075917596156269583, 0.0075615564922707074, 0.0075395200332190057, 0.0075229220155557924, 0.0075100921248081615, 0.0074999602911905196, 0.0074918146395164071, 0.0074851662714320814, 0.0074796701683686887, 0.0074750770690472125, 0.0074712031819341275, 0.0074679105506815476, 0.0074650939903330923, 0.0074626721929304356, 0.007460581546357716, 0.007458771759198294, 0.0074572027124945872, 0.0074558421605686398, 0.0074546640294400864, 0.0074536471424370351, 0.0074527742556030835, 0.0074520313207868819, 0.0074514069181703443, 0.0074508918163814471, 0.007450478629744817, 0.0074501615502591424, 0.0074499361376115358, 0.0074497991546463053, 0.0074497484386708947, 0.0074497828011245958, 0.0074499019496748033, 0.007450106427889909, 0.0074503975683695954, 0.0074507774556604491, 0.0074512488954918167, 0.0074518153868619813, 0.0074524810933035614, 0.0074532508092694282, 0.0074541299170117741, 0.007455124328586693, 0.0074562404067205117, 0.0074574848572554128, 0.0074588645848091143, 0.0074603865022334201, 0.007462057283590633, 0.0074638830499055286, 0.0074658689772002526, 0.0074680188176836984, 0.007470334327943683, 0.0074728146031518474, 0.0074754553242235566, 0.0074782479360728281, 0.0074811787897970704, 0.0074842282995535424, 0.0074873701850047408, 0.0074905708904068084, 0.0074937892883395578, 0.0074969767851674578, 0.0075000779412414779, 0.0075030316964325074, 0.007505773247291703, 0.0075082365558395738, 0.0075103573866125714, 0.0075120766788775231, 0.0075133439806172268, 0.00751412061803239, 0.0075143822648029903, 0.00751412061803239, 0.0075133439806172346, 0.0075120766788775214, 0.0075103573866125688, 0.007508236555839572, 0.0075057732472917135, 0.0075030316964325048, 0.0075000779412414727, 0.0074969767851674491, 0.0074937892883395552, 0.0074905708904068136, 0.0074873701850047391, 0.0074842282995535433, 0.0074811787897970747, 0.0074782479360728342, 0.0074754553242235549, 0.0074728146031518483, 0.007470334327943683, 0.0074680188176836967, 0.0074658689772002535, 0.007463883049905526, 0.0074620572835906339, 0.0074603865022334183, 0.007458864584809116, 0.0074574848572554102, 0.0074562404067205117, 0.007455124328586693, 0.0074541299170117733, 0.0074532508092694273, 0.0074524810933035597, 0.0074518153868619805, 0.0074512488954918167, 0.0074507774556604491, 0.0074503975683695954, 0.0074501064278899073, 0.0074499019496748016, 0.0074497828011245949, 0.0074497484386708938, 0.0074497991546463088, 0.0074499361376115349, 0.0074501615502591424, 0.0074504786297448179, 0.0074508918163814471, 0.0074514069181703425, 0.007452031320786881, 0.0074527742556030801, 0.0074536471424370343, 0.007454664029440089, 0.0074558421605686372, 0.0074572027124945855, 0.0074587717591982966, 0.0074605815463577073, 0.007462672192930433, 0.0074650939903330897, 0.0074679105506815389, 0.0074712031819341267, 0.0074750770690472073, 0.0074796701683686817, 0.0074851662714320718, 0.0074918146395164002, 0.0074999602911905014, 0.0075100921248081641, 0.0075229220155557611, 0.0075395200332189919, 0.0075615564922707238, 0.0075917596156269609, 0.0076348400600481439, 0.0076995173701635625, 0.0078034449795234273, 0.007986908343993647, 0.0083585855902784632, 0.009293519816837183, 0.012627948004775012, 0.022770514099466514, 0.01297430492778047, 0.0091877672722934667, 0.0082179110516133295, 0.0078593043057840727, 0.0076924191235078548, 0.0076026401354782587, 0.0075493532231620747, 0.0075154087392928356, 0.0074926049032978522, 0.0074766381297871522, 0.0074650824723887267, 0.0074564901290414777, 0.0074499559396946375, 0.0074448917291177336, 0.0074409026474581367, 0.0074377161428484289, 0.0074351394975566698, 0.007433033548815862, 0.0074312959289017343, 0.007429850089708776, 0.0074286379448954502, 0.0074276148329617707, 0.0074267460037874197, 0.0074260041259419565, 0.0074253674907881805, 0.0074248187003367952, 0.0074243436961723896, 0.0074239310322814309, 0.0074235713245825565, 0.0074232568300232052, 0.0074229811217448698, 0.0074227388362210541, 0.0074225254748387631, 0.0074223372470369657, 0.0074221709454353477, 0.0074220238457859298, 0.0074218936263315185, 0.0074217783024453695, 0.0074216761733857696, 0.0074215857787183724, 0.0074215058625024576, 0.0074214353437510958, 0.0074213732919924036, 0.0074213189070042882, 0.0074212715019857352, 0.0074212304895769875, 0.007421195370258921, 0.0074211657227555086, 0.0074211411961384484, 0.0074211215033937817, 0.0074211064162600917, 0.0074210957611890831, 0.0074210894163141885, 0.0074210873093428081, 0.0074210883622935608, 0.007421091526685194, 0.0074210968191774284, 0.0074211042676754707, 0.0074211139115403849, 0.0074211258018872977, 0.0074211400019752547, 0.0074211565876936827, 0.0074211756481517956, 0.0074211972863786448, 0.0074212216201431326, 0.0074212487829050577, 0.0074212789249102603, 0.0074213122144452803, 0.0074213488392694243, 0.0074213890082452773, 0.0074214329531920994, 0.007421480930990665, 0.0074215332259727693, 0.0074215901526342928, 0.0074216520587171942, 0.0074217193287135991, 0.0074217923878543268, 0.0074218717066551459, 0.0074219578061071644, 0.0074220512636133393, 0.0074221527197920814, 0.0074222628862915451, 0.0074223825547859012, 0.0074225126073583329, 0.0074226540285165588, 0.0074228079191368274, 0.0074229755126942881, 0.0074231581942140832, 0.0074233575224726105, 0.0074235752560971209, 0.0074238133843607945, 0.0074240741636582641, 0.0074243601608849508, 0.0074246743052475582, 0.0074250199504232346, 0.0074254009494887745, 0.0074258217456964577, 0.0074262874830309045, 0.0074268041416128833, 0.0074273787045203753, 0.0074280193646138869, 0.0074287357826804358, 0.0074295394119336744, 0.0074304439090412261, 0.0074314656590033544, 0.0074326244512888948, 0.0074339443590168593, 0.0074354548937601139, 0.0074371925390185551, 0.0074392028107575963, 0.0074415430620149298, 0.007444286354247172, 0.0074475268840414931, 0.0074513877200758655, 0.0074560320425559818, 0.0074616798146210032, 0.0074686330944686444, 0.0074773154894390605, 0.0074883355134772621, 0.0075025918589255881, 0.0075214553381244649, 0.0075470981348291291, 0.0075831229375718737, 0.0076358461142946874, 0.0077171313919772149, 0.0078512954124869399, 0.0080941526832044308, 0.0085942770988245987, 0.0098248776862509546, 0.01333038220175385, 0.016898049592705407, 0.011981721802843234, 0.0093985294807721852, 0.0084617766798899506, 0.0080532911802556114, 0.0078437339378460667, 0.0077229921984421921, 0.0076473331040134785, 0.0075968541963773043, 0.0075615041724238514, 0.0075357791813497775, 0.0075164654507982095, 0.0075015860180230182, 0.0074898712379766579, 0.00748047571218966, 0.0074728189530274816, 0.0074664916840736549, 0.0074611986268217191, 0.0074567224061596786, 0.0074529001179877742, 0.0074496077274558321, 0.0074467494446213934, 0.0074442503423611086, 0.0074420511332006067, 0.0074401044125159731, 0.0074383719158143862, 0.0074368224889140482, 0.0074354305668820975, 0.0074341750210961807, 0.0074330382760884632, 0.0074320056264508827, 0.0074310647037379432, 0.0074302050569911614, 0.0074294178201634829, 0.0074286954466128013, 0.0074280314958072614, 0.007427420461012987, 0.0074268576294071707, 0.0074263389680469371, 0.0074258610306153321, 0.0074254208809942995, 0.0074250160305759033, 0.007424644386885732, 0.0074243042116069521, 0.0074239940864962318, 0.0074237128860010779, 0.0074234597556423251, 0.00742323409543094, 0.0074230355477566878, 0.0074228639893265816, 0.0074227195268504412, 0.0074226024962750683, 0.0074224228742522935, 0.0074225254853419603, 0.0074229621061775095, 0.0074238140112319433, 0.00742520298158962, 0.0074273091720117408, 0.0074304000992556742, 0.0074348784773871097, 0.0074413633064729194, 0.0074508321506866161, 0.0074648814254459602, 0.0074862270230554714, 0.0075197271993066922, 0.0075746335029046718, 0.0076700281937293405, 0.0078496494372813155, 0.0082295332640399, 0.0091922662929438161, 0.012546066687566991, 0.035157999049079333, 0.074616327092046603, 0.021089539415198838, 0.013567499312247423, 0.011526360255867148, 0.010937740033770151, 0.011194377532220797, 0.012838309662557569, 0.020767024941768773, 0.05616044049149907, 0.013096269152804294, 0.0087402827031578291, 0.0079281489785842964, 0.0076784385163196026, 0.0075788455876297086, 0.0075321006815242189, 0.0075074800095961073, 0.00749330970894449, 0.0074845441981181236, 0.007478782952490627, 0.0074747946844374901, 0.007471907899345054, 0.0074697369364717181, 0.007468050086121285, 0.0074667023984582477, 0.0074655997722779862, 0.0074646789560412043, 0.0074638960042995549, 0.007463219401006747, 0.0074626258463704638, 0.0074620976098944553, 0.0074616208293787154, 0.0074611843952944899, 0.0074607792054695848, 0.0074603976587695412, 0.0074600333058407889, 0.0074596806047510164, 0.007459334747682342, 0.0074589915363275682, 0.0074586472909859121, 0.0074582987831337934, 0.0074579431844097842, 0.0074575780270834504, 0.0074572011725370516, 0.0074568107853053133, 0.0074564053109373888, 0.0074559834564607947, 0.0074555441726014814, 0.0074550866371881179, 0.0074546102393695749, 0.0074541145644218482, 0.0074535993790269348, 0.0074530646169815801, 0.0074525103653448992, 0.0074519368510665282, 0.0074513444281549511, 0.0074507335654527655, 0.0074501048350843965, 0.0074494589016347148, 0.0074487965121057794, 0.0074481184866853527, 0.0074474257103459224, 0.0074467191252779556, 0.007445999724146478, 0.0074452685441467438, 0.0074445266618225576, 0.0074437751886007042, 0.0074430152669862377, 0.0074422480673567264, 0.0074414747852884619, 0.0074406966393443467, 0.0074399148692512272, 0.0074391307343937094, 0.0074383455125523502, 0.007437560498815313, 0.0074367770045952984, 0.0074359963566864298, 0.0074352198962996489, 0.0074344489780193129, 0.0074336849686284711, 0.0074329292457551649, 0.0074321831962976979, 0.0074314482145923606, 0.0074307257002931377, 0.0074300170559391705, 0.0074293236841922287, 0.0074286469847330934, 0.0074279883508127382, 0.0074273491654611298, 0.0074267307973636823, 0.0074261345964224366, 0.0074255618890263029, 0.0074250139730614798, 0.0074244921126999756, 0.007423997533010443, 0.0074235314144413169, 0.007423094887231539, 0.0074226890258083699, 0.007422314843235525, 0.00742197328577712, 0.0074216652276445265, 0.007421391465993128, 0.0074211527162350507, 0.0074209496077313588, 0.0074207826799236589, 0.0074206523789598295, 0.0074205590548626788, 0.0074205029592829107, 0.0074204842438696577, 0.0074204967214707984, 0.007420534128390833, 0.0074205963870677327, 0.0074206833685241461, 0.0074207948928029649, 0.0074209307295701066, 0.0074210905988776861, 0.0074212741720788315, 0.0074214810728838176, 0.0074217108785454775, 0.0074219631211605566, 0.0074222372890722921, 0.0074225328283585041, 0.0074228491443885485, 0.0074231856034317773, 0.0074235415342997074, 0.0074239162300037617, 0.0074243089494104497, 0.0074247189188759444, 0.0074251453338424573, 0.0074255873603793444, 0.0074260441366526958, 0.007426514774308255, 0.0074269983597536667, 0.0074274939553275639, 0.0074280006003447198, 0.0074285173120083314, 0.0074290430861827898, 0.0074295768980224492, 0.0074301177024548876, 0.0074306644345196755, 0.007431216009567196, 0.007431771323325332, 0.0074323292518456473, 0.0074328886513448421, 0.0074334483579615333, 0.0074340071874533266, 0.0074345639348639353, 0.0074351173741955363, 0.0074356662581271469, 0.0074362093178253633, 0.0074367452628997946, 0.0074372727815612445, 0.0074377905410463584, 0.0074382971883777882, 0.0074387913515336123, 0.0074392716411036059, 0.0074397366525127181, 0.007440184968893062, 0.0074406151646852423, 0.0074410258100462276, 0.0074414154761352708, 0.007441782741339777, 0.007442126198490078, 0.007442444463094694, 0.0074427361826062983, 0.0074430000467023191, 0.007443234798533812, 0.0074434392468614944, 0.0074436122789598306, 0.0074437528741292782, 0.0074438601176148684, 0.0074439332146875037, 0.0074439715046049695, 0.0074439744741346039, 0.0074439417702914486, 0.0074438732119268816, 0.007443768799795504, 0.0074436287247345292, 0.0074434533736115098, 0.0074432433327340343, 0.0074429993884685625, 0.0074427225248843241, 0.0074424139183198474, 0.00744207492886106, 0.0074417070888174149, 0.0074413120883810684, 0.0074408917587491649, 0.0074404480530753311, 0.0074399830256891182, 0.0074394988100774922, 0.0074389975961569252, 0.0074384816073776458, 0.0074379530781917237, 0.0074374142323858691, 0.0074368672627300103, 0.0074363143123275773, 0.0074357574579770897, 0.0074351986957713759, 0.0074346399290758343, 0.0074340829589440768, 0.0074335294769522723, 0.0074329810603654956, 0.0074324391694922456, 0.0074319051470383693, 0.0074313802192394248, 0.0074308654985302796, 0.0074303619875019065, 0.007429870583896288, 0.0074293920863994769, 0.0074289272010084261, 0.0074284765477673426, 0.007428040667692661, 0.0074276200297304024, 0.0074272150376148349, 0.0074268260365218282, 0.0074264533194332493, 0.0074260971331499394, 0.0074257576839094983, 0.007425435142581668, 0.0074251296494279818, 0.0074248413184238408, 0.0074245702411507263, 0.0074243164902733309, 0.0074240801226220093, 0.0074238611819047754, 0.0074236597010755795, 0.0074234757043869096, 0.0074233092091552265, 0.0074231602272671737, 0.0074230287664536279, 0.0074229148313569452, 0.0074228184244148837, 0.0074227395465823864, 0.0074226781979099717, 0.0074226343779947128, 0.007422608086317139, 0.0074225993224743912], [0.0070666312709239927, 0.0070666476554437163, 0.0070666967873463009, 0.0070667786018349735, 0.0070668929914904713, 0.0070670398071295713, 0.0070672188589981765, 0.0070674299182902226, 0.0070676727189814478, 0.0070679469599650513, 0.0070682523074743686, 0.0070685883977761122, 0.0070689548401163625, 0.007069351219900496, 0.0070697771020874246, 0.0070702320347780945, 0.0070707155529780488, 0.0070712271825141559, 0.0070717664440858655, 0.0070723328574324555, 0.0070729259455985932, 0.0070735452392820686, 0.0070741902812491743, 0.0070748606308051326, 0.0070755558683091493, 0.0070762755997261419, 0.0070770194612097973, 0.0070777871237145667, 0.0070785782976373769, 0.0070793927374932595, 0.0070802302466328407, 0.0070810906820138178, 0.0070819739590429458, 0.007082880056510278, 0.0070838090216429912, 0.0070847609753126855, 0.0070857361174376347, 0.0070867347326302186, 0.0070877571961503981, 0.0070888039802385694, 0.007089875660916514, 0.0070909729253637354, 0.007092096579999479, 0.0070932475594290886, 0.0070944269364485949, 0.0070956359333454516, 0.0070968759347881209, 0.0070981485026661521, 0.0070994553933283692, 0.0071007985777751708, 0.0071021802654965089, 0.0071036029328178044, 0.0071050693568303061, 0.0071065826562517398, 0.0071081463409018442, 0.007109764371903823, 0.0071114412352600723, 0.0071131820321293669, 0.0071149925899921546, 0.0071168795999835104, 0.0071188507870700241, 0.007120915121543869, 0.0071230830826383099, 0.0071253669881227001, 0.0071277814077818965, 0.0071303436841171353, 0.0071330745910000428, 0.0071359991712265196, 0.0071391478082462687, 0.007142557607755051, 0.007146274194368976, 0.0071503540720058833, 0.0071548677614310854, 0.0071599040269050571, 0.0071655756561760384, 0.0071720274982690095, 0.0071794478506579445, 0.0071880849265949934, 0.0071982712177114791, 0.0072104604635798049, 0.0072252853737801099, 0.007243650714454113, 0.0072668891095714581, 0.0072970333426657843, 0.0073373172595876494, 0.0073931556967659186, 0.0074742121345022115, 0.0075991977452469182, 0.0078084832973747366, 0.0082033638714939967, 0.0091025467241084811, 0.011970432578235993, 0.030191499761841063, 0.032874435020544227, 0.011510253410051269, 0.0086228988538573706, 0.0078136755702449805, 0.0074888238796769688, 0.0073299586465147004, 0.0072420054338209906, 0.0071889909531674366, 0.0071549998393291682, 0.0071321612713284525, 0.0071162438346661768, 0.0071048199349924282, 0.0070964224295487488, 0.0070901260107993323, 0.0070853259686946089, 0.007081615026904472, 0.007078711705799998, 0.0070764170657189891, 0.0070745877278896637, 0.007073118565461038, 0.0070719313189583086, 0.0070709669415216165, 0.007070180349909228, 0.0070695367613978384, 0.0070690090968968267, 0.0070685761138669723, 0.007068221047100416, 0.0070679306084064182, 0.0070676942436827045, 0.0070675035772318224, 0.0070673519942918402, 0.0070672343271861622, 0.0070671466205344969, 0.0070670859580742795, 0.0070670503387840981, 0.0070670385938264571, 0.0070670406428758057, 0.0070670468123981874, 0.0070670571698886455, 0.0070670718290889384, 0.0070670909518972718, 0.0070671147511128596, 0.0070671434940895684, 0.0070671775073990395, 0.0070672171826341914, 0.0070672629835196645, 0.0070673154545389059, 0.0070673752313399705, 0.0070674430532464954, 0.0070675197782804622, 0.007067606401203603, 0.0070677040752108091, 0.0070678141380696993, 0.007067938143706291, 0.0070680779005015794, 0.007068235517907669, 0.0070684134634410364, 0.0070686146327013201, 0.00706884243584739, 0.0070691009050097373, 0.007069394828529545, 0.0070697299198351493, 0.0070701130314028485, 0.0070705524279064272, 0.0070710581377880569, 0.007071642409757592, 0.0070723203111748159, 0.0070731105204745459, 0.0070740363882449281, 0.0070751273752349391, 0.0070764210269088643, 0.0070779657239127746, 0.0070798245741958777, 0.0070820810172609822, 0.0070848470508339577, 0.0070882755696630995, 0.0070925793242484934, 0.00709806085749933, 0.0071051612704086525, 0.0071145425558233107, 0.0071272325196863277, 0.0071448926956629976, 0.0071703435701144314, 0.0072086705172658824, 0.0072697692336202765, 0.007374911472666593, 0.0075764443173717243, 0.0080306551048786937, 0.0093613586154929571, 0.015115751453266027, 0.020841193354229869, 0.011017353206475405, 0.008628658013693653, 0.0078929602291738492, 0.0075817813449449651, 0.0074221259995823153, 0.0073293182723616649, 0.0072704935905140416, 0.007230775742454316, 0.0072026386174366738, 0.0071819407360250729, 0.0071662483184144971, 0.0071540536266697435, 0.007144381283422218, 0.0071365770830078504, 0.0071301886034544687, 0.0071248946609128554, 0.0071204620159485629, 0.0071167179190867041, 0.0071135321949617782, 0.0071108052523595443, 0.0071084598785253438, 0.0071064355101490284, 0.0071046841613541861, 0.0071031674825730038, 0.00710185460531666, 0.0071007205421924312, 0.0070997449852122259, 0.0070989113938407407, 0.0070982062965785804, 0.0070976187518380935, 0.0070971399289976658, 0.0070967627810776882, 0.0070964817879345336, 0.0070962927541817272, 0.0070961926498625148, 0.0070961794846477457, 0.0070962522083119414, 0.007096410631649403, 0.0070966553629696772, 0.007096987755951736, 0.0070974098650027871, 0.0070979244044040877, 0.0070985347074605451, 0.0070992446816242564, 0.007100058755149837, 0.0071009818102799466, 0.0071020190972774528, 0.0071031761228557803, 0.0071044585057735551, 0.0071058717916488478, 0.0071074212185530195, 0.0071091114248606497, 0.0071109460914243212, 0.0071129275117452987, 0.0071150560868222914, 0.0071173297462164354, 0.0071197433039905857, 0.0071222877678718691, 0.0071249496323043133, 0.007127710200624849, 0.007130544997391782, 0.0071334233470699039, 0.0071363082070578917, 0.0071391563478323634, 0.0071419189667568141, 0.0071445428011888369, 0.0071469717687138211, 0.0071491491081959188, 0.007151019929276279, 0.0071525340086214754, 0.0071536486107617609, 0.0071543310732111228, 0.0071545608912397009, 0.0071543310732111211, 0.0071536486107617696, 0.0071525340086214728, 0.0071510199292762755, 0.0071491491081959188, 0.0071469717687138289, 0.0071445428011888369, 0.0071419189667568106, 0.0071391563478323565, 0.0071363082070578874, 0.0071334233470699091, 0.0071305449973917811, 0.0071277102006248498, 0.0071249496323043142, 0.0071222877678718752, 0.0071197433039905831, 0.0071173297462164362, 0.0071150560868222914, 0.0071129275117452978, 0.0071109460914243212, 0.007109111424860648, 0.0071074212185530186, 0.0071058717916488486, 0.0071044585057735551, 0.0071031761228557803, 0.0071020190972774545, 0.0071009818102799448, 0.0071000587551498344, 0.0070992446816242529, 0.0070985347074605451, 0.0070979244044040895, 0.0070974098650027862, 0.007096987755951736, 0.0070966553629696789, 0.0070964106316494038, 0.0070962522083119406, 0.007096179484647744, 0.0070961926498625148, 0.0070962927541817298, 0.0070964817879345362, 0.0070967627810776899, 0.0070971399289976658, 0.007097618751838097, 0.0070982062965785795, 0.007098911393840739, 0.0070997449852122276, 0.0071007205421924303, 0.0071018546053166634, 0.0071031674825729994, 0.0071046841613541844, 0.0071064355101490301, 0.0071084598785253377, 0.0071108052523595391, 0.0071135321949617747, 0.0071167179190866937, 0.0071204620159485603, 0.0071248946609128493, 0.0071301886034544609, 0.0071365770830078392, 0.0071443812834222076, 0.0071540536266697244, 0.0071662483184144971, 0.0071819407360250338, 0.0072026386174366512, 0.0072307757424543359, 0.007270493590514045, 0.0073293182723616311, 0.0074221259995824601, 0.0075817813449449364, 0.0078929602291744078, 0.008628658013695438, 0.011017353206476429, 0.020841193354228883, 0.015115751453256495, 0.0093613586154937777, 0.0080306551048786451, 0.0075764443173713478, 0.0073749114726665609, 0.007269769233620299, 0.0072086705172658937, 0.007170343570114408, 0.007144892695663028, 0.0071272325196863268, 0.0071145425558233168, 0.0071051612704086534, 0.0070980608574993231, 0.0070925793242484908, 0.0070882755696630951, 0.0070848470508339612, 0.0070820810172609796, 0.0070798245741958794, 0.0070779657239127772, 0.0070764210269088634, 0.0070751273752349417, 0.0070740363882449298, 0.0070731105204745468, 0.0070723203111748133, 0.0070716424097575902, 0.0070710581377880551, 0.0070705524279064281, 0.0070701130314028511, 0.007069729919835151, 0.0070693948285295433, 0.0070691009050097373, 0.0070688424358473891, 0.0070686146327013175, 0.0070684134634410381, 0.0070682355179076681, 0.0070680779005015794, 0.0070679381437062936, 0.0070678141380697019, 0.0070677040752108091, 0.0070676064012036039, 0.0070675197782804622, 0.0070674430532464911, 0.0070673752313399714, 0.0070673154545389059, 0.0070672629835196628, 0.0070672171826341897, 0.0070671775073990403, 0.0070671434940895684, 0.0070671147511128631, 0.0070670909518972709, 0.0070670718290889402, 0.0070670571698886455, 0.0070670468123981856, 0.0070670406428758057, 0.0070670385938264545, 0.0070670396178483382, 0.0070670426950479176, 0.0070670478408642427, 0.0070670550811537591, 0.007067064452378923, 0.0070670760018754922, 0.0070670897882017941, 0.0070671058815742786, 0.0070671243643948174, 0.0070671453318765136, 0.0070671688927759716, 0.0070671951702416828, 0.0070672243027898058, 0.0070672564454205338, 0.0070672917708905717, 0.0070673304711596583, 0.0070673727590321676, 0.0070674188700181016, 0.007067469064441903, 0.0070675236298320772, 0.007067582883630158, 0.0070676471762639781, 0.007067716894637816, 0.0070677924661010673, 0.0070678743629679006, 0.0070679631076730302, 0.007068059278664429, 0.007068163517152103, 0.0070682765348544811, 0.0070683991229111565, 0.0070685321621634604, 0.0070686766350446899, 0.0070688336393710518, 0.0070690044043849477, 0.0070691903094772263, 0.007069392906108138, 0.0070696139435627867, 0.0070698553993225723, 0.0070701195150177278, 0.0070704088391586725, 0.0070707262781406254, 0.0070710751573962527, 0.0070714592950619996, 0.0070718830911615828, 0.0070723516361442191, 0.007072870843714784, 0.0070734476143532853, 0.0070740900378766809, 0.007074807646038025, 0.0070756117297603657, 0.0070765157405637616, 0.007077535802647944, 0.0070786913718103132, 0.0070800060912216975, 0.0070815089140583319, 0.007083235592221313, 0.0070852306738011378, 0.0070875502175178386, 0.007090265533149045, 0.0070934684148756411, 0.0070972785872061407, 0.0071018544971288957, 0.0071074092819223503, 0.0071142349452888668, 0.0071227399226791903, 0.007133509191991085, 0.0071474037472744932, 0.0071657317200016007, 0.0071905563733566033, 0.0072252808647510387, 0.0072758318414203951, 0.0073532491244668657, 0.0074799254291665661, 0.0077065776139687596, 0.0081659771395902574, 0.0092744704625084672, 0.012452554835490875, 0.016894001353375643, 0.012172280622780375, 0.0092246207313074098, 0.0081771251042816184, 0.0077315003999508611, 0.0075068365769917411, 0.0073789671885837486, 0.0072995582888623727, 0.0072469396770726844, 0.0072102905384946415, 0.0071837377330377788, 0.0071638759840543876, 0.0071486225847365, 0.0071366463996796001, 0.0071270646912808752, 0.0071192734504531754, 0.0071128481100195618, 0.0071074831769958836, 0.0071029542889581168, 0.0070990936615169106, 0.0070957737880664841, 0.0070928963685415319, 0.0070903846347505585, 0.0070881779316659165, 0.0070862278274821987, 0.0070844952786961249, 0.007082948535450764, 0.0070815615742384694, 0.0070803129115685585, 0.0070791846964093959, 0.0070781620090725351, 0.0070772323146780971, 0.0070763850335729432, 0.007075611201096013, 0.007074903196229239, 0.0070742545238221925, 0.0070736596388299832, 0.0070731138037646865, 0.0070726129726106507, 0.0070721536959913655, 0.0070717330435373553, 0.0070713485402907573, 0.0070709981146636789, 0.007070680055995782, 0.007070392980170012, 0.007070135802071973, 0.0070699077139390601, 0.0070697081688561054, 0.0070695368688267358, 0.0070693937569936997, 0.007069279013703654, 0.0070691103753675148, 0.007069226954716022, 0.0070696758843536451, 0.0070705323879184491, 0.0070719095531814012, 0.0070739742387151555, 0.0070769727454474702, 0.0070812727734869086, 0.007087433648544153, 0.0070963276375962227, 0.0071093577567641914, 0.0071288672635081056, 0.0071589532363452099, 0.007207195054956074, 0.007288644518351331, 0.007436064006126379, 0.0077301364630437122, 0.0084077559090900249, 0.010382007881866964, 0.01930712310713896, 0.091311233571890832, 0.038158374447264949, 0.017804523861920229, 0.013550837574154857, 0.012491348470182156, 0.013109051407910154, 0.016959876570457253, 0.040259569056318868, 0.028794439971295431, 0.010304172024011144, 0.008041841635122041, 0.0074888769155618748, 0.0072961651286894977, 0.0072136673573018617, 0.0071731269144129891, 0.0071510606570855291, 0.0071380355386892478, 0.0071298126079109795, 0.007124316127935194, 0.0071204573157984613, 0.0071176315416705497, 0.0071154862146860986, 0.0071138066616814669, 0.007112456979116135, 0.0071113479662722008, 0.0071104190494241902, 0.0071096277380863337, 0.0071089432853596807, 0.0071083427712791978, 0.0071078086233327658, 0.0071073270118303979, 0.0071068867905290829, 0.0071064787844749245, 0.0071060953033215985, 0.0071057298036833567, 0.0071053766515634074, 0.0071050309529116992, 0.0071046884311002619, 0.007104345337001175, 0.007103998381862711, 0.0071036446861805621, 0.0071032817397929295, 0.0071029073698275439, 0.0071025197141081613, 0.007102117198324702, 0.007101698515773568, 0.007101262608840855, 0.0071008086516702535, 0.0071003360336555762, 0.0070998443435429529, 0.0070993333540328571, 0.0070988030068463298, 0.0070982533982699159, 0.0070976847652254047, 0.0070970974719274816, 0.0070964919971984669, 0.0070958689225070733, 0.0070952289207900148, 0.0070945727461032178, 0.007093901224135008, 0.007093215243597936, 0.007092515748500455, 0.0070918037312844885, 0.0070910802268013039, 0.0070903463070857353, 0.0070896030768785962, 0.0070888516698383794, 0.0070880932453768388, 0.0070873289860481185, 0.0070865600954179292, 0.0070857877963375745, 0.0070850133295473411, 0.0070842379525345028, 0.0070834629385730956, 0.0070826895758752248, 0.0070819191667870216, 0.0070811530269663057, 0.0070803924844834668, 0.0070796388787919108, 0.007078893559519548, 0.0070781578850384807, 0.0070774332207756167, 0.0070767209372332822, 0.0070760224076949112, 0.0070753390055977132, 0.0070746721015607378, 0.0070740230600638459, 0.0070733932357800264, 0.0070727839695707865, 0.0070721965841613454, 0.0070716323795197164, 0.0070710926279705204, 0.0070705785690812484, 0.0070700914043649744, 0.0070696322918494363, 0.0070692023405675543, 0.0070688026050289583, 0.0070684340797356185, 0.0070680976938072302, 0.0070677943057833696, 0.0070675246986696624, 0.007067289575294059, 0.0070670895540369139, 0.0070669251649949742, 0.0070667968466341423, 0.0070667049429800023, 0.0070666497013876176, 0.0070666312709239927, 0.0070666435585459491, 0.0070666803959496798, 0.0070667417068361431, 0.0070668273643304602, 0.0070669371914137032, 0.0070670709615203754, 0.0070672283992947275, 0.0070674091814971977, 0.0070676129380505383, 0.007067839253213656, 0.0070680876668697511, 0.0070683576759140105, 0.0070686487357251747, 0.0070689602617042095, 0.0070692916308627935, 0.0070696421834437473, 0.0070700112245552487, 0.0070703980258007126, 0.0070708018268862511, 0.0070712218371881148, 0.0070716572372630186, 0.0070721071802851369, 0.0070725707933945508, 0.0070730471789432082, 0.0070735354156258451, 0.0070740345594851551, 0.0070745436447822467, 0.0070750616847257385, 0.0070755876720550916, 0.0070761205794765926, 0.0070766593599531705, 0.0070772029468525177, 0.0070777502539614732, 0.0070783001753783707, 0.0070788515852992038, 0.0070794033377179488, 0.0070799542660660072, 0.0070805031828209365, 0.0070810488791199404, 0.0070815901244191846, 0.0070821256662458544, 0.0070826542300957574, 0.0070831745195351617, 0.007083685216571379, 0.007084184982361884, 0.0070846724583367065, 0.0070851462678127005, 0.007085605018181086, 0.0070860473037508385, 0.0070864717093297351, 0.0070868768146216321, 0.0070872611995123642, 0.0070876234503072814, 0.0070879621669699758, 0.0070882759713943892, 0.007088563516720491, 0.0070888234976771835, 0.0070890546619051115, 0.007089255822176785, 0.007089425869392701, 0.0070895637861907316, 0.0070896686609633356, 0.0070897397020348221, 0.0070897762517109254, 0.0070897777998775316, 0.0070897439967971265, 0.0070896746647327886, 0.007089569808022821, 0.0070894296212361861, 0.0070892544950617604, 0.0070890450196234517, 0.0070888019849685143, 0.0070885263785470231, 0.0070882193795839422, 0.0070878823503386498, 0.0070875168243458991, 0.0070871244918322878, 0.007086707182598303, 0.0070862668467425501, 0.007085805533677398, 0.0070853253699397576, 0.0070848285363342318, 0.0070843172449567681, 0.0070837937166352378, 0.0070832601592900118, 0.0070827187476654513, 0.0070821716048155839, 0.0070816207856488683, 0.0070810682627518154, 0.0070805159146248254, 0.0070799655163797442, 0.0070794187328711653, 0.0070788771141654617, 0.0070783420931949627, 0.007077814985400584, 0.0070772969901349994, 0.0070767891935796089, 0.0070762925729209681, 0.0070758080015347249, 0.0070753362549354527, 0.0070748780172675664, 0.007074433888133694, 0.0070740043895809812, 0.007073589973091275, 0.0070731910264466378, 0.0070728078803665691, 0.0070724408148363574, 0.0070720900650672637, 0.0070717558270478754, 0.0070714382626623912, 0.0070711375043652248, 0.0070708536594127035, 0.007070586813661725, 0.0070703370349522307, 0.0070701043760955902, 0.0070698888774945925, 0.0070696905694229749, 0.0070695094739935673, 0.0070693456068443442, 0.0070691989785709773, 0.0070690695959334084, 0.0070689574628621911, 0.0070688625812883191, 0.0070687849518179489, 0.0070687245742708351, 0.0070686814480985637, 0.0070686555726959558, 0.0070686469476160321], [0.0069893770612323141, 0.0069893941009199489, 0.0069894451974131747, 0.0069895302831841817, 0.0069896492462893532, 0.0069898019312686702, 0.0069899881403955207, 0.0069902076352678366, 0.0069904601387289975, 0.0069907453371049295, 0.0069910628827417436, 0.0069914123968267562, 0.0069917934724741428, 0.0069922056780555835, 0.0069926485607553221, 0.0069931216503287185, 0.0069936244630432083, 0.0069941565057808673, 0.0069947172802822481, 0.0069953062875121319, 0.0069959230321289916, 0.0069965670270414927, 0.0069972377980371241, 0.0069979348884701906, 0.0069986578639987789, 0.0069994063173627668, 0.0070001798731981601, 0.0070009781928858754, 0.0070018009794367607, 0.0070026479824183653, 0.0070035190029329574, 0.0070044138986611014, 0.0070053325889897645, 0.0070062750602498391, 0.0070072413710941233, 0.0070082316580542146, 0.0070092461413231392, 0.0070102851308205026, 0.0070113490326087708, 0.0070124383557434401, 0.0070135537196570731, 0.007014695862198164, 0.0070158656484716458, 0.00701706408065978, 0.0070182923090418379, 0.007019551644480415, 0.0070208435727038953, 0.0070221697707918999, 0.0070235321263673219, 0.0070249327601201311, 0.0070263740524406327, 0.0070278586751317393, 0.0070293896294109709, 0.0070309702917164254, 0.0070326044692133917, 0.0070342964673806435, 0.0070360511726648717, 0.0070378741539639687, 0.0070397717876811532, 0.0070417514123449626, 0.0070438215203989085, 0.0070459919968451738, 0.0070482744171407848, 0.0070506824203216256, 0.0070532321780994462, 0.0070559429871205545, 0.0070588380204035022, 0.0070619452862486966, 0.0070652988602455348, 0.0070689404808571147, 0.0070729216352701926, 0.007077306315798706, 0.007082174707807606, 0.0070876281937059865, 0.0070937962504621132, 0.0071008461254763776, 0.0071089966767735185, 0.0071185386015945075, 0.0071298647200233062, 0.0071435165449611039, 0.0071602581001553147, 0.0071811970468450264, 0.0072079915473935276, 0.0072432205178717211, 0.00729108442611354, 0.0073588249492890657, 0.0074598542157422714, 0.0076214394053310854, 0.0079064920125976757, 0.0084891813568955966, 0.010011956800353749, 0.016443015061628988, 0.060194784234401701, 0.0168029305915946, 0.0095357051099102252, 0.0080582548718975636, 0.0075503249550433315, 0.0073231502153114506, 0.0072044660385963393, 0.0071357847852146338, 0.0070930608952539829, 0.0070650185954469367, 0.0070458359876735387, 0.0070322775581092853, 0.0070224375500259999, 0.0070151393177488178, 0.0070096275333168022, 0.0070054011918354612, 0.0070021185776181051, 0.0069995409458667186, 0.0069974979650067725, 0.0069958658603574836, 0.0069945532193885452, 0.0069934915543207223, 0.006992628895600715, 0.0069919253611821436, 0.0069913500407261606, 0.0069908787714573102, 0.0069904925291127597, 0.0069901762499777554, 0.0069899179595615188, 0.0069897081225045584, 0.0069895391543326798, 0.0069894050533065646, 0.006989301122754814, 0.006989223762772257, 0.0069891703162158793, 0.0069891389583336891, 0.0069891286226555363, 0.0069891304276114459, 0.0069891358627276034, 0.0069891449890810238, 0.0069891579095809619, 0.0069891747706706166, 0.0069891957647712916, 0.0069892211335337469, 0.0069892511719840868, 0.0069892862336778105, 0.0069893267370065397, 0.006989373172838818, 0.0069894261137212902, 0.0069894862249214387, 0.0069895542776611504, 0.0069896311649751703, 0.0069897179207352427, 0.0069898157425156331, 0.0069899260191477975, 0.0069900503640324806, 0.0069901906555622324, 0.0069903490863776185, 0.0069905282236648811, 0.0069907310833418413, 0.0069909612218283269, 0.0069912228502350838, 0.006991520977343138, 0.0069918615898426455, 0.0069922518811878099, 0.0069927005444419422, 0.0069932181501371213, 0.0069938176382148684, 0.0069945149647044919, 0.0069953299607285651, 0.0069962874865278409, 0.0069974190010070837, 0.0069987647252396897, 0.0070003766688277484, 0.0070023229321823947, 0.0070046939328006815, 0.0070076115963822946, 0.0070112432284731106, 0.0070158229782440558, 0.007021686000382452, 0.0070293246094074403, 0.007039484083622421, 0.0070533333672840055, 0.0070727852475343973, 0.0071011350953155243, 0.007144435092663973, 0.0072147445202037442, 0.0073388178027024012, 0.0075854710512522202, 0.0081741241131225509, 0.010073211048083952, 0.01878423647574412, 0.017493503822865551, 0.0100397481923469, 0.0083097350944094112, 0.0077243113949255621, 0.0074618629997027872, 0.0073221308677457794, 0.0072388201876724245, 0.0071850359491326919, 0.007148212388987777, 0.0071218396504194037, 0.0071022688129550732, 0.0070873236927850814, 0.0070756397601891121, 0.0070663253494606922, 0.0070587772814747415, 0.0070525753608905615, 0.0070474193858427406, 0.007043090142816821, 0.0070394244772622634, 0.0070362989127800996, 0.0070336186210018907, 0.0070313098312535429, 0.0070293145049380003, 0.0070275865333050214, 0.0070260889800085984, 0.0070247920529626137, 0.0070236715935479916, 0.0070227079382982173, 0.007021885052449859, 0.0070211898644477796, 0.0070206117507384405, 0.0070201421341758892, 0.0070197741691570455, 0.0070195024935311, 0.007019323032273493, 0.0070192328414667646, 0.0070192299836871535, 0.0070193134277276919, 0.0070194829668828989, 0.0070197391509045611, 0.007020083227301438, 0.007020517087959588, 0.0070210432171469083, 0.0070216646368680144, 0.0070223848452788552, 0.0070232077434815923, 0.0070241375455301052, 0.0070251786659293837, 0.007026335578371107, 0.0070276126390041264, 0.0070290138673201911, 0.0070305426779152958, 0.0070322015571888767, 0.0070339916807423668, 0.0070359124701501871, 0.0070379610922301442, 0.0070401319102286267, 0.0070424159046344054, 0.0070448000915887161, 0.0070472669786412132, 0.0070497941099642936, 0.0070523537644889434, 0.0070549128784924081, 0.0070574332661233951, 0.0070598722041671598, 0.0070621834284293273, 0.0070643185571356215, 0.007066228912602222, 0.0070678676599694084, 0.0070691921279699074, 0.0070701661308943554, 0.0070707620832221084, 0.0070709626972088593, 0.0070707620832221067, 0.0070701661308943623, 0.007069192127969904, 0.0070678676599694075, 0.0070662289126022237, 0.0070643185571356275, 0.0070621834284293264, 0.0070598722041671624, 0.0070574332661233882, 0.0070549128784924038, 0.0070523537644889478, 0.0070497941099642945, 0.0070472669786412158, 0.007044800091588717, 0.0070424159046344088, 0.0070401319102286258, 0.0070379610922301442, 0.0070359124701501853, 0.0070339916807423677, 0.0070322015571888776, 0.0070305426779152923, 0.0070290138673201894, 0.0070276126390041247, 0.0070263355783711096, 0.0070251786659293811, 0.0070241375455301052, 0.0070232077434815906, 0.0070223848452788552, 0.0070216646368680144, 0.0070210432171469075, 0.007020517087959588, 0.0070200832273014388, 0.0070197391509045593, 0.007019482966882898, 0.0070193134277276893, 0.0070192299836871509, 0.007019232841466762, 0.0070193230322734921, 0.0070195024935311018, 0.0070197741691570463, 0.0070201421341758935, 0.0070206117507384379, 0.0070211898644477787, 0.007021885052449859, 0.0070227079382982156, 0.007023671593547989, 0.0070247920529626137, 0.007026088980008601, 0.0070275865333050179, 0.0070293145049379986, 0.0070313098312535446, 0.0070336186210018838, 0.0070362989127800944, 0.0070394244772622582, 0.007043090142816814, 0.007047419385842738, 0.0070525753608905572, 0.007058777281474732, 0.0070663253494606809, 0.0070756397601890991, 0.0070873236927850598, 0.0071022688129550732, 0.0071218396504193569, 0.0071482123889877527, 0.0071850359491327127, 0.0072388201876724279, 0.0073221308677457464, 0.0074618629997030058, 0.0077243113949255482, 0.0083097350944105405, 0.010039748192351747, 0.01749350382286919, 0.018784236475745914, 0.010073211048081157, 0.0081741241131229273, 0.0075854710512521985, 0.0073388178027021782, 0.007214744520203719, 0.0071444350926639878, 0.0071011350953155339, 0.00707278524753438, 0.0070533333672840315, 0.007039484083622421, 0.0070293246094074446, 0.0070216860003824546, 0.0070158229782440506, 0.0070112432284731114, 0.0070076115963822929, 0.0070046939328006824, 0.0070023229321823956, 0.0070003766688277501, 0.0069987647252396923, 0.0069974190010070837, 0.0069962874865278435, 0.0069953299607285668, 0.0069945149647044928, 0.0069938176382148692, 0.0069932181501371187, 0.0069927005444419404, 0.0069922518811878108, 0.0069918615898426455, 0.0069915209773431415, 0.0069912228502350838, 0.0069909612218283287, 0.0069907310833418404, 0.0069905282236648759, 0.0069903490863776193, 0.0069901906555622289, 0.0069900503640324806, 0.0069899260191477984, 0.0069898157425156305, 0.0069897179207352427, 0.0069896311649751712, 0.0069895542776611495, 0.006989486224921437, 0.0069894261137212876, 0.006989373172838818, 0.0069893267370065414, 0.0069892862336778131, 0.006989251171984086, 0.006989221133533746, 0.0069891957647712898, 0.0069891747706706149, 0.0069891579095809637, 0.0069891449890810246, 0.0069891358627276051, 0.006989130427611445, 0.0069891286226555346, 0.0069891295246800409, 0.0069891322354187725, 0.0069891367689004407, 0.0069891431486168417, 0.0069891514076901732, 0.0069891615891100227, 0.0069891737460429405, 0.0069891879422182652, 0.0069892042523949606, 0.0069892227629152317, 0.0069892435723518075, 0.0069892667922571662, 0.0069892925480243692, 0.0069893209798708583, 0.006989352243958389, 0.0069893865136645616, 0.0069894239810237213, 0.0069894648583580382, 0.0069895093801227775, 0.0069895578049937995, 0.0069896104182297601, 0.0069896675343469467, 0.006989729500150906, 0.0069897966981765751, 0.0069898695505974089, 0.0069899485236745284, 0.0069900341328295902, 0.0069901269484400333, 0.0069902276024735657, 0.0069903367961005646, 0.0069904553084496118, 0.0069905840067034765, 0.0069907238577722065, 0.0069908759418280744, 0.006991041468046323, 0.0069912217929687945, 0.0069914184419983469, 0.0069916331346452391, 0.0069918678142885547, 0.0069921246833946887, 0.0069924062453614738, 0.0069927153544452041, 0.0069930552755978342, 0.0069934297565188708, 0.0069938431148459865, 0.0069943003442183762, 0.0069948072440135711, 0.0069953705789741263, 0.0069959982768349766, 0.0069966996746193685, 0.0069974858277548815, 0.0069983699009536632, 0.0069993676664640465, 0.0070004981446683406, 0.0070017844353300902, 0.0070032548070040768, 0.007004944140194598, 0.0070068958614881794, 0.0070091645686606724, 0.0070118196430682747, 0.0070149502962493209, 0.0070186727382011496, 0.0070231405478877323, 0.0070285599854838492, 0.007035213122121067, 0.0070434936849850874, 0.007053964243961341, 0.0070674505219237831, 0.0070852029891258451, 0.0071091863586801958, 0.0071426262030958908, 0.007191108041825176, 0.0072649628442699749, 0.0073849581181355279, 0.0075975890924713059, 0.0080228033359628359, 0.0090311446159486667, 0.011918147580297279, 0.01695463327146738, 0.012657999542763809, 0.0093355068746013587, 0.0081716076532704143, 0.0076876101823482416, 0.0074474665024351801, 0.0073122842268236368, 0.0072289930015450501, 0.0071741237381124463, 0.0071360776337025889, 0.0071086091916201808, 0.007088119978208551, 0.0070724203332879704, 0.0070601166244824327, 0.0070502879085078667, 0.0070423059065896536, 0.0070357301169469508, 0.0070302442797945883, 0.0070256165721499066, 0.0070216739235835369, 0.0070182850071205134, 0.0070153487120877406, 0.0070127861691806565, 0.0070105351297268265, 0.0070085459371645445, 0.0070067785953806441, 0.0070052006054284899, 0.0070037853488301221, 0.0070025108652002439, 0.0070013589180624091, 0.0070003142738383674, 0.0069993641402910462, 0.0069984977254891369, 0.006997705888762135, 0.0069969808625193822, 0.006996316029138399, 0.0069957057410081893, 0.0069951451746653407, 0.0069946302120780105, 0.0069941573437179681, 0.0069937235892588139, 0.0069933264326511105, 0.0069929637690264029, 0.006992633861425783, 0.0069923353057735451, 0.00699206700285206, 0.0069918281363016239, 0.0069916181558852437, 0.006991436765435342, 0.0069912839150469896, 0.0069909997439234336, 0.0069909941896924921, 0.0069913076025067671, 0.0069920068349242524, 0.0069931937417579398, 0.0069950191534332209, 0.0069977053943450279, 0.0070015828290313437, 0.0070071503890192909, 0.0070151787196747585, 0.0070268922820886665, 0.0070443047224500585, 0.0070708683685661031, 0.0071128104160941017, 0.0071820922748768393, 0.0073035968177502103, 0.0075347858772263267, 0.0080287679308451987, 0.0092882203948688388, 0.013614977201247403, 0.039220277777639305, 0.087680243397536203, 0.029676934899626653, 0.018726014355681563, 0.016462288151372562, 0.018152251523460561, 0.029174596162624293, 0.063227630158510614, 0.016172393662201193, 0.0090621026426165718, 0.0077384474042405775, 0.0073458019572611452, 0.0071949079959569857, 0.0071264992093610724, 0.0070915986789176497, 0.0070720888056444199, 0.007060335593142157, 0.0070527924359860099, 0.0070476800982826448, 0.0070440481279181524, 0.0070413611173230951, 0.0070393031861928799, 0.0070376800943349376, 0.0070363677765031499, 0.0070352841194448699, 0.0070343729043632714, 0.007033594368775431, 0.007032919495625194, 0.0070323264663424371, 0.0070317984053552144, 0.007031321914887507, 0.0070308861045386469, 0.0070304819371761473, 0.0070301017809365892, 0.0070297390978573517, 0.0070293882244765356, 0.0070290442151581672, 0.0070287027286619315, 0.0070283599447696684, 0.0070280125019094274, 0.0070276574494746238, 0.0070272922104086984, 0.0070269145509206316, 0.0070265225551071264, 0.0070261146029078105, 0.0070256893502910357, 0.007025245710913109, 0.0070247828387481623, 0.0070243001113738839, 0.0070237971137358923, 0.0070232736223130882, 0.0070227295896759748, 0.0070221651294763328, 0.0070215805019348135, 0.0070209760999071875, 0.0070203524356130496, 0.0070197101281060685, 0.0070190498915543393, 0.0070183725243849627, 0.007017678899330612, 0.007016969954398297, 0.0070162466847634285, 0.0070155101355755967, 0.0070147613956478509, 0.0070140015919877337, 0.0070132318851173509, 0.0070124534651204978, 0.0070116675483478056, 0.0070108753747056812, 0.0070100782054514834, 0.0070092773214156124, 0.0070084740215708438, 0.0070076696218701875, 0.0070068654542764994, 0.0070060628659098434, 0.0070052632182423663, 0.007004467886274293, 0.0070036782576297623, 0.0070028957315159436, 0.0070021217174946202, 0.0070013576340211348, 0.0070006049067116516, 0.0069998649663061633, 0.0069991392463011623, 0.0069984291802329072, 0.0069977361985990782, 0.0069970617254140194, 0.0069964071744002048, 0.006995773944825776, 0.0069951634170058816, 0.0069945769474927281, 0.0069940158639867165, 0.0069934814600079971, 0.0069929749893745136, 0.0069924976605386831, 0.0069920506308403605, 0.0069916350007384071, 0.006991251808086899, 0.0069909020225246751, 0.0069905865400484331, 0.0069903061778397091, 0.0069900616694150109, 0.006989853660165829, 0.0069896827033513742, 0.0069895492566016924, 0.0069894536789822815, 0.0069893962286638944, 0.0069893770612323141, 0.0069893898401939703, 0.0069894281504968587, 0.0069894919124859492, 0.0069895809937057683, 0.0069896952093511091, 0.0069898343228906677, 0.0069899980468564622, 0.0069901860437898951, 0.0069903979273335482, 0.0069906332634562382, 0.0069908915717971885, 0.0069911723271140567, 0.006991474960818281, 0.0069917988625803184, 0.0069921433819866317, 0.0069925078302297827, 0.006992891481812662, 0.0069932935762478804, 0.006993713319733471, 0.006994149886786526, 0.0069946024218168297, 0.0069950700406237153, 0.0069955518318001167, 0.0069960468580293339, 0.0069965541572615027, 0.0069970727437584576, 0.0069976016089978365, 0.0069981397224294205, 0.0069986860320792287, 0.0069992394649998155, 0.0069997989275679736, 0.0070003633056348056, 0.0070009314645364433, 0.0070015022489778407, 0.0070020744828064412, 0.0070026469686970032, 0.0070032184877740532, 0.0070037877992036512, 0.0070043536397918164, 0.0070049147236329089, 0.0070054697418572955, 0.0070060173625339185, 0.0070065562307895608, 0.0070070849692126262, 0.0070076021786150368, 0.0070081064392307308, 0.0070085963124335944, 0.0070090703430604039, 0.007009527062425633, 0.0070099649921141049, 0.0070103826486340665, 0.0070107785490065655, 0.007011151217357168, 0.007011499192561714, 0.0070118210369793672, 0.0070121153462829244, 0.0070123807603682236, 0.0070126159752916624, 0.0070128197561475101, 0.0070129909507557053, 0.0070131285039870253, 0.0070132314725074229, 0.0070132990396785866, 0.0070133305303096928, 0.0070133254249181102, 0.0070132833731271918, 0.0070132042058098851, 0.0070130879455802186, 0.0070129348152428586, 0.0070127452438356001, 0.0070125198699417515, 0.0070122595420083695, 0.0070119653154817373, 0.00701163844666031, 0.0070112803832644861, 0.0070108927518277853, 0.0070104773421197928, 0.0070100360889125855, 0.0070095710514935274, 0.007009084391403294, 0.0070085783489349622, 0.0070080552189640847, 0.0070075173266904555, 0.0070069670038583141, 0.007006406565985549, 0.0070058382910761123, 0.0070052644002174822, 0.0070046870403812304, 0.0070041082696543685, 0.0070035300450373003, 0.0070029542128555462, 0.0070023825017504655, 0.0070018165181426079, 0.0070012577440019081, 0.0070007075367127325, 0.0070001671307894286, 0.0069996376411787051, 0.0069991200678776923, 0.0069986153015997284, 0.0069981241302313237, 0.0069976472458420508, 0.006997185252031992, 0.0069967386714271168, 0.0069963079531603582, 0.0069958934802033176, 0.0069954955764400372, 0.0069951145133989182, 0.0069947505165813698, 0.0069944037713456156, 0.0069940744283214428, 0.0069937626083460937, 0.0069934684069236034, 0.0069931918982193125, 0.0069929331386087692, 0.0069926921698056036, 0.0069924690215967429, 0.006992263714215601, 0.0069920762603849938, 0.0069919066670616568, 0.0069917549369134888, 0.0069916210695592758, 0.0069915050625988726, 0.0069914069124594209, 0.0069913266150807701, 0.0069912641664604414, 0.0069912195630754299, 0.0069911928021953399, 0.0069911838820979474], [0.0068860995826613564, 0.0068861170796898231, 0.0068861695476222801, 0.0068862569171876638, 0.0068863790735586641, 0.0068865358572835645, 0.0068867270655811113, 0.0068869524539890217, 0.0068872117383541884, 0.0068875045971504437, 0.0068878306741078131, 0.0068881895811354179, 0.0068885809015186775, 0.006889004193370578, 0.0068894589933157198, 0.0068899448203856477, 0.0068904611801037362, 0.0068910075687383275, 0.0068915834777032335, 0.0068921883980859345, 0.0068928218252848764, 0.0068934832637390798, 0.0068941722317351021, 0.0068948882662786962, 0.0068956309280210678, 0.0068963998062323683, 0.006897194523818379, 0.0068980147423795511, 0.0068988601673154971, 0.0068997305529820115, 0.0069006257079122319, 0.0069015455001185839, 0.0069024898624975095, 0.006903458798365349, 0.006904452387160683, 0.0069054707903565557, 0.0069065142576354658, 0.0069075831333909599, 0.0069086778636331262, 0.0069097990033907828, 0.0069109472247227306, 0.0069121233254737556, 0.0069133282389400256, 0.0069145630446442539, 0.0069158289804653371, 0.006917127456422434, 0.0069184600704823504, 0.0069198286268454621, 0.0069212351572735314, 0.0069226819461585829, 0.0069241715602025595, 0.006925706883792117, 0.0069272911614231009, 0.0069289280488698266, 0.0069306216752241983, 0.0069323767184733898, 0.0069341984979736405, 0.0069360930880535973, 0.0069380674580981141, 0.006940129645896664, 0.006942288972889882, 0.0069445563123525997, 0.0069469444247070794, 0.0069494683783443232, 0.0069521460799463024, 0.0069549989459368536, 0.0069580527572179768, 0.0069613387540850176, 0.0069648950491595293, 0.0069687684664166546, 0.0069730169587433142, 0.0069777128226191868, 0.0069829470288852872, 0.0069888351436633734, 0.0069955255579365414, 0.0070032111380328634, 0.007012146058927712, 0.0070226706836269033, 0.0070352492765779519, 0.007050528820315421, 0.0070694337525986839, 0.0070933243229838365, 0.0071242729597399326, 0.0071655718136725693, 0.0072227237725770834, 0.0073055287047220224, 0.0074329119778372248, 0.0076455682441904198, 0.0080451380643696609, 0.0089493081109884871, 0.011803166006339409, 0.029808708003563021, 0.035763856100949995, 0.011630269649593652, 0.008518238907217493, 0.0076622549914980307, 0.0073218281777241564, 0.0071563198339052734, 0.0070650763354565905, 0.0070102632812860033, 0.0069752190613855351, 0.0069517326105311287, 0.0069354019660199419, 0.0069237076031122054, 0.0069151298976259379, 0.0069087121562175346, 0.0069038301645038009, 0.0069000641275488335, 0.006897124305317537, 0.0068948061740427497, 0.0068929624974565593, 0.0068914854303034302, 0.0068902947606044188, 0.0068893300121816523, 0.006888545034369426, 0.006887904229540151, 0.0068873798805657712, 0.0068869502303223577, 0.0068865980838884906, 0.0068863097796013134, 0.0068860744241588294, 0.0068858833193488275, 0.0068857295297414869, 0.0068856075555268625, 0.0068855130849643943, 0.0068854428081527412, 0.0068853942790170911, 0.0068853658162081784, 0.0068853564364631144, 0.0068853580629993508, 0.0068853629611160452, 0.0068853711866351487, 0.0068853828335939679, 0.0068853980357729038, 0.0068854169688885207, 0.0068854398535087187, 0.0068854669587664888, 0.0068854986069716911, 0.0068855351792469618, 0.0068855771223459202, 0.0068856249568503992, 0.0068856792869906617, 0.0068857408123907315, 0.0068858103421134288, 0.0068858888114701252, 0.0068859773021745768, 0.00688607706656502, 0.0068861895568038114, 0.0068863164602016025, 0.0068864597421209204, 0.0068866216983147158, 0.00688680501908132, 0.0068870128683123704, 0.0068872489814359502, 0.0068875177875006768, 0.0068878245623309308, 0.0068881756219868065, 0.0068885785689427994, 0.0068890426078372568, 0.0068895789539066303, 0.0068902013661611356, 0.0068909268502938348, 0.0068917765952873763, 0.0068927772359279865, 0.0068939625761739367, 0.0068953759741404875, 0.0068970736927818519, 0.0068991296859957753, 0.0069016425616696816, 0.0069047459207283116, 0.0069086240637432905, 0.0069135364738392357, 0.0069198571116422056, 0.0069281396307405993, 0.0069392298872323222, 0.0069544690481554428, 0.0069760805421454908, 0.0070079567784712667, 0.007057392044095597, 0.0071393061364630811, 0.0072879921779726107, 0.007596216293847039, 0.0083832329027714765, 0.011227237701130332, 0.022971983240718526, 0.014384395610362614, 0.0092854049652389171, 0.008012504033153213, 0.0075423169876153015, 0.0073200182170202049, 0.0071975239902034626, 0.007122729663213566, 0.0070735942560983464, 0.0070395037017897668, 0.0070148321308179662, 0.0069963692387452914, 0.0069821727210437655, 0.0069710102384375576, 0.0069620685212537703, 0.0069547927984362689, 0.0069487938105674716, 0.0069437917199402727, 0.0069395810683762675, 0.0069360082058884569, 0.0069329563572116627, 0.0069303355047341513, 0.0069280753883676416, 0.0069261205698446368, 0.0069244268931619238, 0.0069229589072226623, 0.0069216879631064264, 0.0069205907918374375, 0.0069196484293596559, 0.0069188453957591363, 0.0069181690629546225, 0.0069176091636718503, 0.0069171574074108847, 0.0069168071781647361, 0.0069165532950633529, 0.0069163918217023052, 0.0069163199132085129, 0.0069163356924610521, 0.0069164381485733051, 0.0069166270519256954, 0.0069169028808355165, 0.0069172667554462238, 0.0069177203746724559, 0.0069182659520944535, 0.006918906146592194, 0.006919643983280252, 0.0069204827599864899, 0.0069214259341584695, 0.0069224769847446429, 0.0069236392433686487, 0.0069249156891107097, 0.0069263087015813398, 0.006927819767908623, 0.0069294491409869086, 0.0069311954490995, 0.0069330552610778334, 0.0069350226166920662, 0.0069370885390660046, 0.0069392405544486894, 0.0069414622542159025, 0.0069437329436566686, 0.0069460274305607334, 0.0069483160120055697, 0.0069505647178192183, 0.0069527358616863566, 0.0069547889339331547, 0.0069566818429387441, 0.0069583724759233294, 0.0069598205078663985, 0.0069609893451306054, 0.0069618480553111173, 0.0069623731145649296, 0.0069625498044057167, 0.0069623731145649279, 0.006961848055311126, 0.0069609893451306037, 0.0069598205078663967, 0.0069583724759233294, 0.0069566818429387519, 0.006954788933933153, 0.0069527358616863549, 0.0069505647178192131, 0.0069483160120055662, 0.006946027430560736, 0.0069437329436566669, 0.0069414622542159059, 0.0069392405544486902, 0.0069370885390660081, 0.0069350226166920645, 0.0069330552610778343, 0.0069311954490994983, 0.0069294491409869095, 0.0069278197679086247, 0.0069263087015813355, 0.0069249156891107114, 0.0069236392433686469, 0.0069224769847446421, 0.0069214259341584695, 0.0069204827599864908, 0.006919643983280252, 0.0069189061465921922, 0.0069182659520944543, 0.0069177203746724567, 0.0069172667554462247, 0.0069169028808355173, 0.0069166270519256954, 0.0069164381485733086, 0.0069163356924610512, 0.0069163199132085103, 0.0069163918217023035, 0.0069165532950633529, 0.0069168071781647387, 0.0069171574074108873, 0.006917609163671852, 0.0069181690629546207, 0.006918845395759138, 0.0069196484293596568, 0.0069205907918374341, 0.0069216879631064264, 0.0069229589072226632, 0.0069244268931619264, 0.0069261205698446368, 0.0069280753883676389, 0.0069303355047341496, 0.006932956357211654, 0.0069360082058884534, 0.0069395810683762623, 0.0069437917199402632, 0.006948793810567469, 0.0069547927984362637, 0.0069620685212537625, 0.0069710102384375429, 0.0069821727210437516, 0.0069963692387452646, 0.0070148321308179688, 0.007039503701789707, 0.0070735942560983135, 0.0071227296632135955, 0.0071975239902034747, 0.007320018217020146, 0.0075423169876156666, 0.0080125040331531991, 0.0092854049652415609, 0.014384395610377586, 0.022971983240715969, 0.011227237701130917, 0.0083832329027704097, 0.007596216293847209, 0.0072879921779725838, 0.0071393061364629458, 0.0070573920440955822, 0.0070079567784712788, 0.0069760805421454995, 0.006954469048155428, 0.006939229887232343, 0.0069281396307406002, 0.00691985711164221, 0.0069135364738392383, 0.0069086240637432845, 0.0069047459207283125, 0.0069016425616696799, 0.0068991296859957788, 0.0068970736927818519, 0.0068953759741404884, 0.006893962576173941, 0.0068927772359279873, 0.0068917765952873772, 0.0068909268502938366, 0.0068902013661611356, 0.0068895789539066294, 0.0068890426078372551, 0.0068885785689427968, 0.0068881756219868065, 0.0068878245623309299, 0.0068875177875006768, 0.0068872489814359485, 0.0068870128683123704, 0.0068868050190813209, 0.006886621698314715, 0.0068864597421209196, 0.0068863164602015999, 0.0068861895568038123, 0.0068860770665650226, 0.006885977302174575, 0.0068858888114701252, 0.006885810342113427, 0.0068857408123907324, 0.0068856792869906617, 0.0068856249568503992, 0.006885577122345922, 0.0068855351792469601, 0.006885498606971692, 0.0068854669587664896, 0.0068854398535087204, 0.0068854169688885225, 0.0068853980357729029, 0.0068853828335939688, 0.0068853711866351495, 0.0068853629611160452, 0.0068853580629993473, 0.0068853564364631135, 0.0068853572493174277, 0.0068853596921528868, 0.0068853637778165631, 0.0068853695278189965, 0.0068853769724835333, 0.0068853861511578209, 0.0068853971124898973, 0.0068854099147721819, 0.0068854246263574028, 0.0068854413261514617, 0.0068854601041892886, 0.0068854810623007199, 0.006885504314874836, 0.0068855299897324909, 0.0068855582291184343, 0.0068855891908262239, 0.0068856230494712851, 0.0068856599979298027, 0.0068857002489640931, 0.0068857440370582263, 0.0068857916204916178, 0.0068858432836827093, 0.0068858993398401604, 0.0068859601339651168, 0.0068860260462555714, 0.0068860974959723638, 0.0068861749458368968, 0.0068862589070428238, 0.00688634994497897, 0.0068864486857783142, 0.0068865558238295531, 0.0068866721304135558, 0.0068867984636587507, 0.0068869357800478946, 0.0068870851477558876, 0.0068872477621563424, 0.0068874249639062539, 0.0068876182601069966, 0.0068878293491509016, 0.006888060150001386, 0.006888312836829706, 0.0068885898801528114, 0.0068888940958989498, 0.0068892287041889154, 0.0068895974000867241, 0.0068900044391776829, 0.0068904547416215618, 0.0068909540193676129, 0.0068915089325963502, 0.0068921272832959618, 0.0068928182563665445, 0.0068935927220286197, 0.0068944636179628198, 0.0068954464360665643, 0.00689655984778508, 0.0068978265148672505, 0.0068992741509571022, 0.0069009369265204418, 0.0069028573497324193, 0.0069050888163529256, 0.0069076991141357545, 0.0069107753117518458, 0.0069144306924237503, 0.0069188147678932461, 0.0069241280362005199, 0.0069306442265686333, 0.0069387446907186283, 0.0069489731211641748, 0.0069621255103080038, 0.0069794037360670471, 0.0070026895571763271, 0.0070350594043332611, 0.0070818133536406022, 0.0071526924309669084, 0.0072671218227336239, 0.0074681456261229294, 0.0078653577539164882, 0.0087925304884295397, 0.011430953192696231, 0.016824263288531364, 0.013122711236381276, 0.0094227219297898183, 0.0081387962156717758, 0.0076163074903667326, 0.0073609936680782261, 0.0072187750355533218, 0.0071318049948921091, 0.0070748319023733021, 0.0070354965706119071, 0.0070071936347777357, 0.0069861397478137568, 0.0069700437084456394, 0.0069574529925706414, 0.0069474109032110478, 0.0069392665970261736, 0.006932564849476343, 0.0069269795131565197, 0.0069222719547020299, 0.0069182643070651566, 0.0069148217973975358, 0.0069118407953489064, 0.0069092405597143674, 0.0069069574311475873, 0.0069049406761960575, 0.0069031494670279405, 0.0069015506555427019, 0.0069001171117847046, 0.0068988264689474497, 0.0068976601651912529, 0.0068966027047758305, 0.006895641083077924, 0.0068947643353661214, 0.0068939631799552967, 0.0068932297340079749, 0.0068925572857491723, 0.006891940110859386, 0.0068913733237471074, 0.0068908527565796057, 0.0068903748605803391, 0.0068899366253314534, 0.0068895355127565902, 0.0068891694031786065, 0.0068888365514039622, 0.0068885355512209711, 0.006888265307042815, 0.0068880250117000861, 0.0068878141296089797, 0.0068876323847223767, 0.0068872629719983055, 0.0068871699234979156, 0.0068873875502546015, 0.006887975465409488, 0.0068890259557586875, 0.0068906762863623298, 0.006893128538232849, 0.0068966816059131235, 0.0069017836595116682, 0.0069091203772313169, 0.0069197681980155247, 0.0069354709881980286, 0.0069591628608951395, 0.006996011291862534, 0.0070556388892152131, 0.0071572504329357901, 0.007342717475738998, 0.0077146307062304683, 0.0085683541690178746, 0.01098169412122418, 0.020632297228242197, 0.075958979962129219, 0.06615144079666016, 0.032735981543575148, 0.026646119693661378, 0.032138981769040564, 0.062133143099463238, 0.032826654865401463, 0.011671702769378896, 0.008326837531034326, 0.0074832255250029686, 0.0071935627432833087, 0.0070728556025697201, 0.0070152945015062359, 0.0069848920939495542, 0.006967454283910989, 0.00695673404108842, 0.0069497374981747576, 0.0069449275880532112, 0.0069414684212636248, 0.006938882317382631, 0.0069368840462325811, 0.0069352963614662455, 0.0069340049600249993, 0.0069329334970965771, 0.0069320292352301228, 0.006931254541838106, 0.0069305817094057892, 0.0069299897194788351, 0.0069294621743118288, 0.0069289859471381669, 0.0069285502846311887, 0.0069281461997580335, 0.0069277660546198105, 0.0069274032696912255, 0.0069270521184102377, 0.0069267075801316049, 0.0069263652333968057, 0.0069260211772563859, 0.0069256719721900234, 0.0069253145947228926, 0.0069249464015791965, 0.0069245651004238816, 0.0069241687250986396, 0.0069237556138724444, 0.0069233243896740185, 0.0069228739416027727, 0.006922403407258298, 0.0069219121556088718, 0.0069213997702514971, 0.0069208660330114351, 0.0069203109078953265, 0.0069197345254554624, 0.0069191371676483957, 0.006918519253282478, 0.0069178813241498553, 0.0069172240319313426, 0.0069165481259499074, 0.00691585444183224, 0.006915143891119498, 0.0069144174518493704, 0.006913676160112861, 0.0069129211025715353, 0.0069121534099051305, 0.0069113742511452301, 0.0069105848288390738, 0.0069097863749778563, 0.0069089801476165556, 0.0069081674281069108, 0.0069073495188618737, 0.006906527741568024, 0.0069057034357623021, 0.006904877957690448, 0.0069040526793666861, 0.0069032289877573108, 0.0069024082840146153, 0.0069015919826920166, 0.0069007815108762631, 0.0068999783071779621, 0.0068991838205273506, 0.0068983995087284122, 0.0068976268367307199, 0.0068968672745850709, 0.0068961222950557977, 0.0068953933708698146, 0.0068946819715897476, 0.0068939895601059786, 0.0068933175887502165, 0.0068926674950407904, 0.0068920406970777656, 0.0068914385886136706, 0.0068908625338332174, 0.0068903138618826194, 0.0068897938611961387, 0.0068893037736737339, 0.0068888447887694585, 0.0068884180375550497, 0.0068880245868269902, 0.0068876654333282546, 0.0068873414981572489, 0.0068870536214369026, 0.0068868025573155878, 0.0068865889693689253, 0.0068864134264676885, 0.0068862763991713715, 0.0068861782567005859, 0.0068861192645333219, 0.0068860995826613564, 0.0068861127046014881, 0.0068861520430762912, 0.0068862175161429765, 0.0068863089875423932, 0.0068864262671634235, 0.006886569111685616, 0.0068867372253925245, 0.0068869302611463878, 0.0068871478215128115, 0.0068873894600225711, 0.0068876546825559172, 0.006887942948833512, 0.0068882536739970374, 0.0068885862302612497, 0.0068889399486189344, 0.0068893141205792763, 0.0068897079999201676, 0.006890120804434764, 0.0068905517176528226, 0.0068909998905177907, 0.0068914644430011704, 0.0068919444656367181, 0.0068924390209580333, 0.0068929471448244848, 0.0068934678476220796, 0.0068940001153276155, 0.0068945429104266239, 0.0068950951726779522, 0.0068956558197203885, 0.0068962237475196815, 0.0068967978306574427, 0.0068973769224669034, 0.006897959855024398, 0.0068985454390094129, 0.0068991324634507011, 0.0068997196953807334, 0.0069003058794259728, 0.0069008897373659898, 0.0069014699677003993, 0.0069020452452686213, 0.0069026142209739462, 0.0069031755216698741, 0.0069037277502730946, 0.0069042694861739225, 0.0069047992860208022, 0.0069053156849609417, 0.0069058171984233349, 0.006906302324533509, 0.006906769547250672, 0.0069072173403169007, 0.0069076441721045, 0.0069080485114406971, 0.0069084288344783973, 0.006908783632666767, 0.0069091114218560136, 0.0069094107525463546, 0.0069096802212615868, 0.0069099184829932714, 0.0069101242646224508, 0.0069102963791827189, 0.0069104337407826953, 0.0069105353799586398, 0.0069106004591812003, 0.006910628288196277, 0.0069106183388412618, 0.0069105702589470804, 0.0069104838849166142, 0.0069103592525635053, 0.0069101966058044105, 0.006909996402824325, 0.0069097593193792909, 0.0069094862489633381, 0.0069091782996461501, 0.0069088367874815164, 0.0069084632264909381, 0.0069080593153370892, 0.0069076269209126335, 0.006907168059175752, 0.0069066848736586148, 0.0069061796121537697, 0.006905654602141942, 0.0069051122255593365, 0.0069045548935121994, 0.0069039850215307039, 0.0069034050059146599, 0.0069028172016636384, 0.0069022239024071081, 0.0069016273226617615, 0.0069010295826481853, 0.0069004326958025637, 0.0068998385590264789, 0.0068992489456323677, 0.0068986655008678585, 0.0068980897398406823, 0.0068975230476183234, 0.0068969666812436275, 0.0068964217733880851, 0.0068958893373577404, 0.0068953702731706038, 0.0068948653744371627, 0.0068943753357953346, 0.0068939007606755431, 0.0068934421691990164, 0.0068930000060412567, 0.0068925746481212627, 0.0068921664120049717, 0.0068917755609370999, 0.0068914023114391701, 0.0068910468394322213, 0.0068907092858606217, 0.006890389761808613, 0.0068900883531134464, 0.0068898051244889458, 0.0068895401231808696, 0.0068892933821809591, 0.0068890649230303998, 0.0068888547582456067, 0.0068886628934003886, 0.0068884893288984513, 0.0068883340614693759, 0.0068881970854197299, 0.0068880783936688681, 0.0068879779785966421, 0.0068878958327274016, 0.0068878319492718179, 0.0068877863225448501, 0.0068877589482750357, 0.006887749823816903], [0.0067610984269053896, 0.0067611162052610254, 0.0067611695168839749, 0.0067612582916351839, 0.0067613824132573674, 0.0067615417203317806, 0.0067617360076077347, 0.0067619650276952471, 0.006762228493108589, 0.0067625260786462783, 0.006762857424091058, 0.0067632221372116242, 0.0067636197970463493, 0.0067640499574483206, 0.0067645121508700581, 0.0067650058923659608, 0.0067655306837904874, 0.0067660860181704263, 0.0067666713842302198, 0.0067672862710504798, 0.0067679301728411616, 0.0067686025938126677, 0.0067693030531301773, 0.0067700310899390017, 0.0067707862684514113, 0.0067715681830884372, 0.0067723764636735961, 0.0067732107806790665, 0.006774070850528939, 0.0067749564409687124, 0.0067758673765148511, 0.006776803544003957, 0.0067777648982668536, 0.0067787514679599351, 0.006779763361593704, 0.0067808007738075745, 0.0067818639919502979, 0.0067829534030377329, 0.0067840695011744754, 0.0067852128955432928, 0.0067863843190879873, 0.0067875846380413118, 0.0067888148624818184, 0.0067900761581433274, 0.0067913698597499598, 0.0067926974862112053, 0.0067940607580881836, 0.006795461617838193, 0.0067969022534650723, 0.0067983851263539383, 0.006799913004258919, 0.006801489000651759, 0.0068031166219408978, 0.0068047998244516071, 0.0068065430835397549, 0.0068083514778230709, 0.0068102307922905791, 0.006812187645042587, 0.0068142296436838343, 0.0068163655790296884, 0.0068186056659086235, 0.006820961843621018, 0.0068234481522794982, 0.0068260812061466487, 0.0068288807916912202, 0.0068318706271239763, 0.0068350793327233523, 0.0068385416789415905, 0.0068423002045800837, 0.0068464073340967525, 0.006850928177444893, 0.0068559442775003631, 0.0068615586950579776, 0.0068679030161788142, 0.006875147176808042, 0.0068835135047816487, 0.0068932972235256967, 0.0069048971132773685, 0.006918862603217146, 0.0069359683154256368, 0.0069573361985134606, 0.0069846437582366978, 0.007020496032846356, 0.0070691280431706858, 0.0071378238757912882, 0.0072400339850848009, 0.0074029971041875454, 0.0076892266070553829, 0.008270468321719654, 0.0097726625259049026, 0.01598802987067895, 0.062681524245006254, 0.017672107135640904, 0.0094907499824985215, 0.0078906189506453388, 0.0073493044788316818, 0.0071092820579244237, 0.0069845619334187418, 0.0069126552989777646, 0.0068680462264045852, 0.0068388270419836106, 0.0068188717878763828, 0.0068047855846036162, 0.0067945733658575291, 0.0067870056672994991, 0.0067812945083434864, 0.006776917933882195, 0.00677352035317654, 0.0067708535757075878, 0.0067687406814653465, 0.0067670531990061686, 0.0067656963000700147, 0.0067645989659277789, 0.0067637073176933168, 0.0067629800070926728, 0.0067623849771573956, 0.0067618971509862246, 0.0067614967600910176, 0.0067611681205115483, 0.0067608987270331268, 0.0067606785765323236, 0.0067604996585721487, 0.0067603555696993797, 0.0067602412204886752, 0.0067601526131584461, 0.0067600866738022, 0.006760041127760838, 0.0067600144099592731, 0.0067600056045245202, 0.0067600071086383589, 0.0067600116380697305, 0.0067600192443579019, 0.0067600300143072231, 0.0067600440713690467, 0.0067600615776243524, 0.0067600827364172273, 0.0067601077957066182, 0.0067601370522239503, 0.0067601708565475328, 0.0067602096192324844, 0.0067602538181685276, 0.0067603040073787608, 0.006760360827522697, 0.0067604250184290834, 0.0067604974340614143, 0.0067605790604164853, 0.0067606710369793495, 0.0067607746825144588, 0.0067608915261729904, 0.0067610233451542755, 0.0067611722104934935, 0.0067613405429842168, 0.0067615311818181919, 0.006761747469284549, 0.0067619933558855623, 0.0067622735315918279, 0.006762593590815387, 0.0067629602412230131, 0.0067633815700347977, 0.0067638673863836714, 0.0067644296652916653, 0.0067650831288216381, 0.0067658460144871518, 0.0067667411023920442, 0.0067677971045547458, 0.0067690505684971985, 0.0067705485224488354, 0.0067723522083512335, 0.0067745424405616051, 0.0067772274448891388, 0.0067805545698792708, 0.0067847282008360321, 0.0067900379016023341, 0.0067969039844946655, 0.006805953916818824, 0.0068181557158182079, 0.0068350621687552869, 0.0068592840156406392, 0.006895472016878644, 0.0069525366601462194, 0.0070492412864889041, 0.0072304681922427515, 0.0076248594416318261, 0.0087164519400956212, 0.013199225258934397, 0.02429808719962856, 0.012097851472286404, 0.0086837167556767497, 0.007730595360735568, 0.0073494145459176369, 0.0071602528426208002, 0.0070526461026953506, 0.006985456165033814, 0.0069405817359860754, 0.0069090511920934065, 0.0068860036573136479, 0.006868616991546503, 0.0068551597315077324, 0.0068445205929306991, 0.0068359590846078398, 0.006828965922355993, 0.006823181236052106, 0.006818344730137843, 0.0068142642716537251, 0.006810795500824857, 0.00680782824910286, 0.0068052772818432, 0.0068030758582216062, 0.0068011711681784303, 0.0067995210455845407, 0.0067980915652282497, 0.0067968552622066488, 0.0067957897963871654, 0.0067948769396293345, 0.0067941018001024221, 0.0067934522228345392, 0.0067929183226575953, 0.0067924921175591645, 0.0067921672387881932, 0.0067919386999834444, 0.0067918027118300511, 0.0067917565317915608, 0.0067917983406462316, 0.0067919271391067267, 0.0067921426588814409, 0.0067924452832557056, 0.0067928359727122542, 0.0067933161913333179, 0.0067938878297787624, 0.0067945531205589388, 0.0067953145411612011, 0.0067961747003952378, 0.0067971362031583101, 0.0067982014887677175, 0.0067993726381697086, 0.0068006511458435486, 0.0068020376532363525, 0.006803531642273113, 0.0068051310900806459, 0.0068068320897264794, 0.0068086284466308093, 0.0068105112663802789, 0.0068124685567915811, 0.0068144848748096822, 0.0068165410564092451, 0.0068186140739402799, 0.006820677068800466, 0.0068226996061716829, 0.0068246481911036147, 0.0068264870701745615, 0.0068281793199609728, 0.0068296881936865126, 0.0068309786635353947, 0.0068320190627604053, 0.0068327827046327574, 0.0068332493403504167, 0.0068334063198777851, 0.0068332493403504124, 0.0068327827046327609, 0.0068320190627604062, 0.0068309786635353939, 0.0068296881936865117, 0.0068281793199609772, 0.0068264870701745597, 0.0068246481911036147, 0.0068226996061716795, 0.0068206770688004643, 0.0068186140739402868, 0.0068165410564092425, 0.0068144848748096839, 0.0068124685567915828, 0.0068105112663802815, 0.0068086284466308059, 0.0068068320897264802, 0.0068051310900806416, 0.0068035316422731138, 0.0068020376532363525, 0.0068006511458435443, 0.0067993726381697104, 0.0067982014887677175, 0.0067971362031583101, 0.006796174700395236, 0.0067953145411612011, 0.0067945531205589396, 0.0067938878297787606, 0.0067933161913333187, 0.0067928359727122524, 0.0067924452832557082, 0.0067921426588814374, 0.0067919271391067241, 0.0067917983406462316, 0.0067917565317915599, 0.0067918027118300476, 0.0067919386999834427, 0.0067921672387881923, 0.0067924921175591645, 0.006792918322657597, 0.0067934522228345401, 0.006794101800102423, 0.0067948769396293336, 0.0067957897963871663, 0.0067968552622066445, 0.0067980915652282488, 0.0067995210455845398, 0.0068011711681784303, 0.0068030758582216001, 0.0068052772818431966, 0.0068078282491028617, 0.0068107955008248466, 0.006814264271653719, 0.0068183447301378352, 0.0068231812360520956, 0.0068289659223559895, 0.006835959084607832, 0.0068445205929306887, 0.0068551597315077177, 0.0068686169915464857, 0.0068860036573136149, 0.0069090511920934083, 0.0069405817359859947, 0.0069854561650337698, 0.0070526461026953939, 0.0071602528426208132, 0.0073494145459175372, 0.0077305953607362411, 0.0086837167556767549, 0.012097851472294628, 0.02429808719963852, 0.01319922525893201, 0.0087164519400957131, 0.007624859441631316, 0.0072304681922428322, 0.0070492412864888903, 0.0069525366601461301, 0.0068954720168786371, 0.0068592840156406461, 0.0068350621687552912, 0.0068181557158181975, 0.0068059539168188396, 0.0067969039844946672, 0.0067900379016023376, 0.006784728200836033, 0.0067805545698792682, 0.0067772274448891379, 0.0067745424405616043, 0.006772352208351237, 0.0067705485224488346, 0.006769050568497202, 0.0067677971045547484, 0.0067667411023920425, 0.0067658460144871518, 0.0067650831288216407, 0.0067644296652916644, 0.0067638673863836679, 0.006763381570034796, 0.0067629602412230105, 0.0067625935908153852, 0.0067622735315918305, 0.0067619933558855623, 0.0067617474692845472, 0.0067615311818181919, 0.006761340542984216, 0.00676117221049349, 0.0067610233451542746, 0.0067608915261729886, 0.0067607746825144579, 0.0067606710369793495, 0.0067605790604164835, 0.0067604974340614143, 0.0067604250184290842, 0.0067603608275226988, 0.0067603040073787599, 0.0067602538181685285, 0.0067602096192324827, 0.0067601708565475311, 0.0067601370522239537, 0.0067601077957066174, 0.0067600827364172307, 0.0067600615776243524, 0.0067600440713690441, 0.006760030014307224, 0.006760019244357901, 0.0067600116380697305, 0.0067600071086383572, 0.0067600056045245193, 0.0067600063561991663, 0.006760008615166394, 0.0067600123932825976, 0.0067600177103971527, 0.0067600245944865571, 0.0067600330818443242, 0.0067600432173287968, 0.0067600550546717455, 0.0067600686568512628, 0.0067600840965333503, 0.006760101456587419, 0.0067601208306818815, 0.0067601423239670912, 0.0067601660538541527, 0.0067601921508994084, 0.0067602207598060722, 0.0067602520405561934, 0.006760286169688279, 0.0067603233417382457, 0.0067603637708641539, 0.006760407692678409, 0.0067604553663148971, 0.0067605070767629213, 0.0067605631375049682, 0.0067606238935015621, 0.0067606897245734701, 0.0067607610492404413, 0.0067608383290854775, 0.0067609220737261822, 0.0067610128464890458, 0.0067611112709002816, 0.0067612180381277998, 0.0067613339155346399, 0.0067614597565352165, 0.0067615965119836464, 0.0067617452433698681, 0.0067619071381563945, 0.0067620835276588865, 0.0067622759079613466, 0.0067624859644655182, 0.0067627156008106459, 0.0067629669730714086, 0.0067632425303593823, 0.0067635450632298746, 0.0067638777616504421, 0.0067642442847436635, 0.0067646488451086053, 0.0067650963112982692, 0.0067655923330466336, 0.0067661434951861469, 0.0067667575079965328, 0.0067674434441517637, 0.0067682120357318272, 0.0067690760492976274, 0.0067700507633160316, 0.0067711545810461553, 0.0067724098245263171, 0.0067738437733172972, 0.0067754900379207155, 0.006777390396646381, 0.0067795972831097891, 0.0067821772008743834, 0.0067852154809894729, 0.0067888230197158386, 0.0067931459943105866, 0.0067983801564867616, 0.0068047923356241973, 0.0068127536109891746, 0.0068227919602282042, 0.0068356785720715251, 0.0068525747290295114, 0.0068752928566794512, 0.0069067848139038115, 0.0069521127264845686, 0.0070205276007198007, 0.0071303459461621215, 0.0073217845741865052, 0.0076960434828939788, 0.0085572772911534055, 0.010987076285552724, 0.016556610574873624, 0.013561296244035339, 0.0094891715827906467, 0.0080826797187883177, 0.0075218603181620705, 0.0072517610586239805, 0.0071027991951526257, 0.0070123530146642306, 0.0069534171461730319, 0.006912893632827574, 0.006883831006240005, 0.0068622695972639126, 0.0068458221055001361, 0.0068329806484374173, 0.0068227551319211301, 0.0068144737614411191, 0.006807667721809958, 0.0068020017906235972, 0.0067972311196867474, 0.006793173490191629, 0.0067896910215674827, 0.0067866778249930501, 0.0067840514921557425, 0.0067817471158351413, 0.0067797130167930545, 0.0067779076423584439, 0.0067762972834259222, 0.0067748543720786841, 0.0067735561970671578, 0.0067723839239924232, 0.0067713218404088374, 0.006770356768842834, 0.0067694776065035595, 0.0067686749615336163, 0.006767940863514529, 0.0067672685315944914, 0.0067666521877123671, 0.0067660869054054999, 0.0067655684869214975, 0.0067650933630240126, 0.0067646585111420712, 0.0067642613884710875, 0.0067638998773694161, 0.0067635722409637895, 0.0067632770873219342, 0.0067630133409015501, 0.0067627802202646272, 0.0067625772212718946, 0.0067621478525287191, 0.006761996382747255, 0.0067621516441417669, 0.0067626669141248423, 0.0067636262710427776, 0.006765155444260932, 0.0067674393574191829, 0.0067707502806244853, 0.0067754935509529253, 0.0067822834938117528, 0.0067920732231311386, 0.0068063844898435663, 0.0068277318820572849, 0.0068604447235502955, 0.0069123539865992723, 0.0069985027789654887, 0.0071500288799250678, 0.0074378036470546206, 0.00804450902060996, 0.0095277043755511038, 0.014039529739674541, 0.032534644148031845, 0.091431055746011153, 0.073970679140038451, 0.057535988624225973, 0.069679640377560692, 0.055234578422674534, 0.017548781521843561, 0.009657178938861118, 0.0078248761968335925, 0.0072520591356284156, 0.0070314863495640582, 0.0069330465331215391, 0.0068839314152326046, 0.0068571351953989491, 0.0068413784023169345, 0.0068314943060928295, 0.0068249334093185877, 0.0068203573938531168, 0.0068170255559264958, 0.0068145084446849949, 0.0068125464289293261, 0.0068109763739588281, 0.0068096919931477642, 0.0068086215988040922, 0.0068077151980245037, 0.0068069367834457089, 0.0068062596024804148, 0.0068056631827392664, 0.0068051314197404497, 0.0068046513224319233, 0.0068042121749557899, 0.0068038049670862463, 0.0068034220012708055, 0.0068030566176732771, 0.0068027029992059375, 0.0068023560314453557, 0.0068020112005660206, 0.0068016645177803904, 0.00680131246231602, 0.0068009519373454855, 0.0068005802349203233, 0.0068001950071021116, 0.0067997942412949481, 0.0067993762383697408, 0.0067989395925994586, 0.0067984831727419216, 0.0067980061038424005, 0.0067975077495032203, 0.0067969876944960032, 0.0067964457276843736, 0.0067958818252887966, 0.0067952961345662741, 0.0067946889580011481, 0.0067940607381125452, 0.0067934120429828963, 0.0067927435526028961, 0.0067920560461136705, 0.0067913503900089173, 0.0067906275273398597, 0.0067898884679454376, 0.0067891342797101991, 0.0067883660808337803, 0.0067875850330790244, 0.0067867923359511625, 0.0067859892217482344, 0.0067851769514130338, 0.006784356811109271, 0.0067835301094393823, 0.0067826981752178838, 0.0067818623557128182, 0.0067810240152675495, 0.0067801845342167289, 0.0067793453080124185, 0.0067785077464799504, 0.0067776732731269643, 0.006776843324434019, 0.0067760193490601596, 0.0067752028069027409, 0.006774395167956514, 0.0067735979109235919, 0.0067728125215322692, 0.0067720404905296776, 0.006771283311320246, 0.006770542477229355, 0.0067698194783790341, 0.0067691157981702825, 0.0067684329093745093, 0.0067677722698444732, 0.0067671353178631001, 0.0067665234671565773, 0.0067659381016057238, 0.0067653805696972959, 0.0067648521787638588, 0.0067643541890674945, 0.0067638878077883177, 0.006763454182983927, 0.0067630543975897633, 0.0067626894635333199, 0.0067623603160366632, 0.0067620678081820266, 0.006761812705814039, 0.0067615956828494962, 0.0067614173170615494, 0.0067612780863995046, 0.0067611783658987606, 0.0067611184252272336, 0.0067610984269053896, 0.0067611117598218827, 0.0067611517307791091, 0.0067612182564961362, 0.0067613111984897202, 0.0067614303635478139, 0.0067615755043847602, 0.0067617463204704799, 0.0067619424590239334, 0.0067621635161594302, 0.0067624090381723208, 0.0067626785229492857, 0.006762971421486858, 0.0067632871395007102, 0.0067636250391072215, 0.006763984440558036, 0.0067643646240078854, 0.0067647648312955163, 0.0067651842677176255, 0.0067656221037758436, 0.0067660774768771876, 0.0067665494929691379, 0.0067670372280913792, 0.006767539729827356, 0.006768056018640306, 0.0067685850890798743, 0.0067691259108475224, 0.0067696774297109231, 0.0067702385682600402, 0.0067708082265001647, 0.0067713852822803323, 0.006771968591558558, 0.0067725569885091555, 0.0067731492854811769, 0.0067737442728213436, 0.0067743407185794254, 0.0067749373681190951, 0.0067755329436626028, 0.0067761261438034018, 0.0067767156430268791, 0.0067773000912858027, 0.0067778781136835957, 0.0067784483103254254, 0.0067790092564036552, 0.0067795595025909533, 0.0067800975758203911, 0.0067806219805374487, 0.0067811312005133777, 0.0067816237013124565, 0.0067820979335071318, 0.0067825523367340537, 0.0067829853446802601, 0.0067833953910816864, 0.006783780916805226, 0.0067841403780700919, 0.0067844722558440271, 0.0067847750664245645, 0.0067850473731847667, 0.006785287799427088, 0.00678549504224823, 0.0067856678872732111, 0.0067858052240690452, 0.0067859060619993418, 0.0067859695462326964, 0.0067859949735718456, 0.0067859818077306766, 0.0067859296936543471, 0.0067858384704574497, 0.0067857081825488542, 0.0067855390885217326, 0.0067853316674156968, 0.0067850866220049051, 0.0067848048788318339, 0.0067844875847898004, 0.0067841361001550809, 0.0067837519880783121, 0.0067833370006596533, 0.0067828930618472564, 0.0067824222475081578, 0.0067819267631185533, 0.0067814089196013422, 0.0067808711078981877, 0.0067803157728980393, 0.0067797453873523483, 0.0067791624263894195, 0.0067785693431978182, 0.0067779685463850549, 0.0067773623794367948, 0.006776753102609355, 0.0067761428774889111, 0.0067755337543508806, 0.0067749276623567424, 0.0067743264025375682, 0.0067737316434370448, 0.0067731449192238308, 0.0067725676300349497, 0.006772001044278695, 0.006771446302606547, 0.0067709044232574789, 0.0067703763084831069, 0.006769862751776181, 0.0067693644456459307, 0.0067688819897096849, 0.0067684158988989811, 0.0067679666116083935, 0.0067675344976453394, 0.0067671198658679202, 0.0067667229714245521, 0.0067663440225333637, 0.0067659831867608201, 0.0067656405967773045, 0.0067653163555828994, 0.0067650105412092173, 0.0067647232109130841, 0.0067644544048855648, 0.0067642041495053328, 0.0067639724601691112, 0.0067637593437341326, 0.0067635648006084239, 0.0067633888265246876, 0.0067632314140324426, 0.0067630925537414902, 0.006762972235347618, 0.0067628704484688131, 0.0067627871833173744, 0.0067627224312303098, 0.0067626761850770071, 0.0067626484395599549, 0.0067626391914207004], [0.006649101070477551, 0.0066491192161380113, 0.0066491736292574053, 0.0066492642384484739, 0.0066493909253932991, 0.0066495535258294398, 0.0066497518309203141, 0.0066499855889998894, 0.0066502545076791205, 0.0066505582562992674, 0.0066508964687151924, 0.0066512687463899118, 0.0066516746617801261, 0.0066521137619915613, 0.0066525855726819487, 0.0066530896021892248, 0.0066536253458625329, 0.0066541922905739605, 0.0066547899193897227, 0.0066554177163806617, 0.0066560751715535214, 0.0066567617858862187, 0.0066574770764526751, 0.0066582205816253567, 0.0066589918663465582, 0.0066597905274627381, 0.006660616199119917, 0.0066614685582220444, 0.0066623473299586549, 0.0066632522934130288, 0.006664183287267215, 0.0066651402156264767, 0.0066661230539920577, 0.0066671318554188752, 0.0066681667569032299, 0.0066692279860555408, 0.0066703158681247661, 0.0066714308334546984, 0.0066725734254688774, 0.0066737443093003142, 0.0066749442812062418, 0.0066761742789371997, 0.006677435393265636, 0.0066787288809235746, 0.0066800561792537813, 0.0066814189229473927, 0.0066828189633263823, 0.006684258390736152, 0.0066857395607477629, 0.0066872651250377418, 0.0066888380680255634, 0.0066904617506163165, 0.0066921399627337449, 0.0066938769867561209, 0.0066956776745092424, 0.0066975475411598226, 0.0066994928802310508, 0.0067015209050876887, 0.0067036399236859393, 0.0067058595552581162, 0.0067081910000462014, 0.0067106473764119217, 0.0067132441439176748, 0.0067159996367004522, 0.0067189357392458907, 0.0067220787473924173, 0.0067254604723780212, 0.0067291196669910461, 0.0067331038834968059, 0.006737471917821293, 0.0067422970611732283, 0.0067476714813195747, 0.0067537122116323543, 0.0067605694714463222, 0.006768438436127162, 0.0067775762260513916, 0.0067883269855927748, 0.0068011598461291478, 0.0068167280394345617, 0.0068359639466264513, 0.0068602376634255523, 0.0068916331071623522, 0.0069334537440791308, 0.0069912069318291458, 0.0070746680612811738, 0.0072026344460379395, 0.0074152935845591449, 0.0078122076347695692, 0.0087007476977126307, 0.011450348972198694, 0.028285548219715663, 0.040696284209162874, 0.011886243688249157, 0.0084028426643298314, 0.0074729624459914596, 0.0071083722473237517, 0.0069325653400946017, 0.0068361562951010715, 0.0067784515761681839, 0.0067416556466581195, 0.0067170430669666369, 0.0066999541285366502, 0.0066877298565412614, 0.006678770436574227, 0.0066720707151429869, 0.0066669759589792418, 0.0066630464703031859, 0.0066599791339036589, 0.0066575601988601426, 0.0066556359137063831, 0.00665409373558562, 0.0066528499998726081, 0.0066518416468893072, 0.006651020559440079, 0.0066503496176436722, 0.0066497999058604696, 0.0066493487065153335, 0.0066489780402651747, 0.0066486735912766031, 0.0066484239078180912, 0.006648219802319927, 0.0066480538978287264, 0.0066479202832960063, 0.006647814250864241, 0.0066477320958365669, 0.006647670965374935, 0.0066476287458542629, 0.0066476039816726461, 0.0066475958205004957, 0.0066475971950693798, 0.0066476013345301687, 0.0066476082863894878, 0.0066476181306449828, 0.0066476309810361116, 0.006647646986837721, 0.0066476663352407006, 0.0066476892543794273, 0.0066477160170831913, 0.0066477469454494032, 0.006647782416360627, 0.006647822868096699, 0.0066478688082286536, 0.0066479208230244731, 0.0066479795886503898, 0.006648045884517906, 0.0066481206092100275, 0.0066482047995251713, 0.0066482996533099008, 0.0066484065569210491, 0.006648527118374865, 0.0066486632075210515, 0.0066488170049435512, 0.0066489910617662492, 0.0066491883731691912, 0.0066494124692539937, 0.0066496675280122083, 0.0066499585166552074, 0.0066502913696138422, 0.0066506732143341452, 0.0066511126599098818, 0.0066516201690891294, 0.0066522085420004425, 0.0066528935511752088, 0.0066536947838154838, 0.0066546367714714096, 0.0066557505236705177, 0.0066570756376268629, 0.0066586632426781506, 0.0066605801755187707, 0.0066629150054611811, 0.0066657869003601362, 0.0066693589589772138, 0.0066738587552038495, 0.006679610881740277, 0.0066870901522805021, 0.0066970117913237922, 0.0067104909292887279, 0.0067293390874204554, 0.0067566492623094545, 0.0067980379499948456, 0.0068645334484830588, 0.0069801284739845742, 0.0072048783463675558, 0.007722856328022689, 0.0093031072673547838, 0.016634746820164106, 0.020989946894026591, 0.010536260435481002, 0.0082182137564520835, 0.0074916174175962656, 0.0071795205934066285, 0.0070176309644770759, 0.0069227642312381498, 0.0068622619811895044, 0.0068212100536740967, 0.0067920103679745469, 0.0067704581841538476, 0.0067540709639654761, 0.006741304668684678, 0.0067311570333998408, 0.0067229538195230556, 0.0067162275261851692, 0.0067106454858213357, 0.0067059656080067209, 0.0067020082415391894, 0.0066986377693565545, 0.0066957502646919909, 0.0066932650264154431, 0.0066911186582110675, 0.0066892608527399176, 0.0066876513412971635, 0.0066862576545474433, 0.0066850534569629283, 0.0066840172931437701, 0.0066831316338975977, 0.0066823821432064733, 0.0066817571098072119, 0.0066812470026853636, 0.0066808441206528341, 0.0066805423138478212, 0.0066803367604541782, 0.0066802237858462933, 0.0066802007141724537, 0.0066802657443997401, 0.0066804178442686152, 0.0066806566565938766, 0.0066809824130067402, 0.0066813958506392089, 0.0066818981274677329, 0.0066824907321110481, 0.0066831753838672205, 0.0066839539187304262, 0.0066848281571127944, 0.0066857997490861517, 0.0066868699932486671, 0.0066880396259267139, 0.0066893085784780612, 0.0066906757021183974, 0.0066921384621002489, 0.0066936926063634345, 0.0066953318180246408, 0.0066970473662561064, 0.006698827776033805, 0.0067006585435061897, 0.006702521929664306, 0.0067043968696020141, 0.0067062590367005107, 0.0067080810991694143, 0.0067098331992262979, 0.0067114836719042361, 0.00671300000094376, 0.006714349984506751, 0.0067155030559631328, 0.0067164316784535287, 0.0067171127108615154, 0.0067175286317836596, 0.0067176685105547734, 0.0067175286317836553, 0.0067171127108615223, 0.0067164316784535296, 0.0067155030559631328, 0.006714349984506751, 0.006713000000943767, 0.0067114836719042352, 0.0067098331992262988, 0.0067080810991694099, 0.0067062590367005081, 0.0067043968696020185, 0.006702521929664306, 0.0067006585435061897, 0.0066988277760338041, 0.006697047366256109, 0.0066953318180246382, 0.0066936926063634354, 0.0066921384621002481, 0.0066906757021183965, 0.0066893085784780629, 0.0066880396259267104, 0.0066868699932486654, 0.00668579974908615, 0.0066848281571127962, 0.0066839539187304245, 0.0066831753838672214, 0.0066824907321110473, 0.0066818981274677294, 0.0066813958506392098, 0.006680982413006741, 0.0066806566565938783, 0.0066804178442686161, 0.0066802657443997401, 0.0066802007141724519, 0.0066802237858462924, 0.0066803367604541773, 0.0066805423138478195, 0.006680844120652835, 0.0066812470026853662, 0.0066817571098072128, 0.0066823821432064759, 0.006683131633897596, 0.0066840172931437718, 0.0066850534569629283, 0.006686257654547445, 0.0066876513412971635, 0.0066892608527399184, 0.0066911186582110684, 0.0066932650264154396, 0.0066957502646919891, 0.0066986377693565545, 0.0067020082415391756, 0.0067059656080067157, 0.0067106454858213297, 0.0067162275261851562, 0.0067229538195230512, 0.0067311570333998313, 0.0067413046686846667, 0.0067540709639654578, 0.0067704581841538268, 0.0067920103679745061, 0.0068212100536740976, 0.0068622619811894046, 0.0069227642312380891, 0.0070176309644771322, 0.0071795205934066545, 0.0074916174175960948, 0.0082182137564534193, 0.010536260435480761, 0.020989946894046995, 0.01663474682014322, 0.0093031072673542339, 0.0077228563280227827, 0.0072048783463673242, 0.0069801284739846401, 0.0068645334484830518, 0.0067980379499947815, 0.0067566492623094476, 0.0067293390874204615, 0.0067104909292887323, 0.0066970117913237844, 0.0066870901522805126, 0.0066796108817402744, 0.0066738587552038512, 0.0066693589589772147, 0.0066657869003601319, 0.0066629150054611829, 0.0066605801755187681, 0.0066586632426781514, 0.0066570756376268646, 0.0066557505236705212, 0.0066546367714714113, 0.0066536947838154829, 0.0066528935511752096, 0.0066522085420004408, 0.0066516201690891286, 0.0066511126599098792, 0.0066506732143341435, 0.0066502913696138404, 0.0066499585166552074, 0.0066496675280122092, 0.0066494124692539928, 0.0066491883731691894, 0.0066489910617662492, 0.0066488170049435486, 0.0066486632075210524, 0.0066485271183748659, 0.0066484065569210491, 0.0066482996533099017, 0.0066482047995251739, 0.0066481206092100266, 0.006648045884517906, 0.0066479795886503906, 0.0066479208230244731, 0.0066478688082286519, 0.0066478228680966998, 0.0066477824163606262, 0.0066477469454494032, 0.0066477160170831931, 0.0066476892543794281, 0.0066476663352407006, 0.006647646986837721, 0.0066476309810361116, 0.006647618130644981, 0.0066476082863894895, 0.0066476013345301704, 0.0066475971950693789, 0.0066475958205004923, 0.0066475965074327846, 0.0066475985718678684, 0.0066476020247442308, 0.0066476068843724792, 0.0066476131765559401, 0.0066476209347613646, 0.0066476302003416043, 0.0066476410228127718, 0.0066476534601889502, 0.0066476675793783312, 0.0066476834566452552, 0.0066477011781436437, 0.0066477208405280683, 0.0066477425516498854, 0.0066477664313469758, 0.0066477926123369811, 0.0066478212412255239, 0.0066478524796425784, 0.0066478865055222686, 0.0066479235145436837, 0.0066479637217530608, 0.0066480073633908583, 0.0066480546989509427, 0.0066481060135035264, 0.0066481616203185705, 0.0066482218638323678, 0.0066482871230073215, 0.0066483578151432052, 0.006648434400208395, 0.0066485173857715645, 0.0066486073326287518, 0.0066487048612379526, 0.0066488106590943535, 0.0066489254892045007, 0.0066490501998483645, 0.0066491857358557021, 0.0066493331516687855, 0.0066494936265198814, 0.0066496684821212215, 0.0066498592033513533, 0.0066500674625288754, 0.0066502951479989894, 0.0066505443979270216, 0.0066508176404069174, 0.0066511176412646245, 0.0066514475612840761, 0.0066518110250317628, 0.0066522122040365188, 0.006652655917839056, 0.0066531477574222307, 0.0066536942368526546, 0.0066543029807266448, 0.0066549829573872609, 0.0066557447711053678, 0.0066566010308453617, 0.0066575668193757133, 0.0066586602950917629, 0.0066599034711283117, 0.006661323233880764, 0.0066629526885984749, 0.0066648329574636516, 0.0066670156122473432, 0.006669566010208754, 0.0066725679366486813, 0.006676130171588625, 0.0066803959458549469, 0.0066855568311824888, 0.0066918736008848758, 0.0066997083489962707, 0.0067095753564623403, 0.0067222242747797083, 0.0067387812788284925, 0.0067609990975139866, 0.0067917228607457828, 0.0068358119810033695, 0.0069021027965532897, 0.0070079811856912375, 0.0071913141177106163, 0.0075464062345467894, 0.0083533005684950732, 0.010608244426086171, 0.016227152640612613, 0.013998684783391726, 0.0095686759454100129, 0.0080382732967565016, 0.0074394554548758273, 0.0071549227370319686, 0.006999441023808119, 0.006905652402099117, 0.0068448343379925473, 0.0068031721133846529, 0.0067733806637410576, 0.006751331166824949, 0.0067345444366737435, 0.0067214597802265656, 0.0067110552896797043, 0.0067026392285773869, 0.006695729848876006, 0.0066899832904536013, 0.0066851487860132303, 0.0066810399679618675, 0.0066775159890698418, 0.0066744688010932475, 0.006671814398721612, 0.0066694866767719975, 0.0066674330458666086, 0.0066656112539591307, 0.0066639870490674234, 0.0066625324381126153, 0.0066612243743019413, 0.0066600437567060902, 0.0066589746600773858, 0.0066580037364145769, 0.0066571197460098628, 0.0066563131870922719, 0.0066555760012574124, 0.0066549013376724208, 0.006654283363253949, 0.0066537171091033452, 0.0066531983457686046, 0.0066527234816102943, 0.0066522894798364098, 0.0066518937907504155, 0.0066515342965078397, 0.0066512092662582593, 0.0066509173200032931, 0.0066506573998592394, 0.0066504287476981247, 0.0066499269962408143, 0.0066497055454007616, 0.0066497875606550674, 0.0066502200113887945, 0.0066510790579118878, 0.0066524795714324693, 0.0066545906345027352, 0.0066576603342589462, 0.0066620556904985716, 0.006668328173741348, 0.0066773240485072513, 0.0066903761993936574, 0.0067096502552856452, 0.0067387967360565846, 0.0067842433174476391, 0.0068579116345219805, 0.0069833441061199902, 0.0072107325732937537, 0.007657720545504525, 0.0086345452363963699, 0.011084664312658067, 0.018304542651616341, 0.04073684373921839, 0.076835222071795342, 0.081674085433479301, 0.059247847175990749, 0.025472553575848603, 0.01219783785342377, 0.0085838283162965653, 0.0074700128244501963, 0.0070624111163443545, 0.0068903600522866471, 0.0068089668511076952, 0.0067666970420644599, 0.0067429428052006943, 0.0067286460559525495, 0.0067195042613943214, 0.0067133365626268447, 0.0067089742649074965, 0.0067057597807225911, 0.0067033065770222677, 0.006701378167467846, 0.0066998243497080057, 0.006698546268282945, 0.0066974765939498146, 0.0066965679216805423, 0.006695785784337379, 0.0066951043358071559, 0.0066945036199590946, 0.006693967805184069, 0.006693484020395303, 0.006693041573654304, 0.0066926314189855911, 0.0066922457870680248, 0.0066918779258773329, 0.0066915219161368562, 0.0066911725382600247, 0.00669082517505024, 0.006690475739371861, 0.0066901206192933457, 0.0066897566354276209, 0.0066893810067273959, 0.0066889913220691292, 0.0066885855157280127, 0.0066881618454050938, 0.0066877188718787832, 0.006687255439658802, 0.0066867706582486881, 0.0066862638837927296, 0.0066857347010077419, 0.0066851829053892978, 0.006684608485743317, 0.0066840116071325865, 0.0066833925943489353, 0.0066827519160289183, 0.00668209016952751, 0.0066814080666529633, 0.0066807064203496039, 0.0066799861323950868, 0.0066792481821572082, 0.006678493616433248, 0.0066777235403735983, 0.0066769391094715991, 0.0066761415225839267, 0.006675332015930349, 0.0066745118580090546, 0.0066736823453534041, 0.0066728447990482935, 0.0066720005619188057, 0.0066711509963005983, 0.0066702974822999391, 0.0066694414164515086, 0.0066685842106836164, 0.0066677272915031689, 0.0066668720993163346, 0.0066660200878053306, 0.0066651727232866298, 0.0066643314839815891, 0.0066634978591363038, 0.0066626733479338059, 0.0066618594581483882, 0.0066610577044985651, 0.0066602696066623774, 0.0066594966869260629, 0.0066587404674446947, 0.0066580024671010971, 0.0066572841979574224, 0.0066565871613017543, 0.0066559128433003704, 0.0066552627102744663, 0.0066546382036284032, 0.0066540407344643808, 0.0066534716779263307, 0.00665293236732301, 0.0066524240880870729, 0.0066519480716329092, 0.0066515054891811863, 0.0066510974456221337, 0.006650724973492679, 0.0066503890271440184, 0.0066500904771766758, 0.0066498301052187944, 0.0066496085991206624, 0.0066494265486344373, 0.0066492844416420676, 0.0066491826609876657, 0.0066491214819620094, 0.006649101070477551, 0.0066491146788493338, 0.0066491554755786332, 0.0066492233756054731, 0.0066493182374892023, 0.0066494398638934507, 0.0066495880022570666, 0.0066497623456431391, 0.00664996253375621, 0.0066501881541156885, 0.0066504387433718318, 0.0066507137887489255, 0.0066510127295988739, 0.0066513349590472219, 0.0066516798257125224, 0.0066520466354793141, 0.0066524346533042315, 0.0066528431050346878, 0.0066532711792193144, 0.0066537180288896384, 0.0066541827732929321, 0.0066546644995567061, 0.0066551622642665046, 0.0066556750949395864, 0.0066562019913786923, 0.0066567419268916961, 0.0066572938493649576, 0.0066578566821802552, 0.0066584293249679037, 0.0066590106541911248, 0.0066595995235601167, 0.0066601947642773345, 0.0066607951851194256, 0.0066613995723652421, 0.0066620066895837172, 0.0066626152773002498, 0.0066632240525654127, 0.006663831708455378, 0.0066644369135393762, 0.0066650383113558186, 0.0066656345199454523, 0.0066662241314965481, 0.0066668057121644121, 0.006667377802134283, 0.0066679389160036713, 0.0066684875435666282, 0.0066690221510880667, 0.0066695411831611817, 0.0066700430652441422, 0.006670526206973823, 0.006670989006353263, 0.0066714298549057569, 0.0066718471438810068, 0.0066722392715874192, 0.0066726046519084287, 0.0066729417240397751, 0.0066732489634579763, 0.0066735248940984057, 0.0066737681016836962, 0.0066739772481009384, 0.0066741510866792407, 0.0066742884781694888, 0.006674388407176983, 0.0066744499987468724, 0.0066744725347549338, 0.0066744554697145261, 0.0066743984455777334, 0.006674301305087919, 0.0066741641032347235, 0.0066739871163736175, 0.0066737708486021017, 0.0066735160350346271, 0.0066732236416875285, 0.0066728948617728262, 0.0066725311083024865, 0.0066721340030183899, 0.0066717053617833177, 0.0066712471766880053, 0.0066707615952432651, 0.0066702508971274478, 0.0066697174690427971, 0.0066691637782950244, 0.006668592345744931, 0.0066680057187882436, 0.0066674064449994113, 0.0066667970470295603, 0.0066661799992808685, 0.0066655577067943556, 0.0066649324866907807, 0.0066643065524005065, 0.0066636820008138826, 0.0066630608023837924, 0.0066624447941207735, 0.006661835675342326, 0.0066612350059732936, 0.0066606442071451607, 0.006660064563808632, 0.0066594972290550504, 0.0066589432298369954, 0.0066584034737844555, 0.0066578787568284548, 0.0066573697713665763, 0.006656877114732178, 0.006656401297759477, 0.0066559427532683077, 0.0066555018443235168, 0.0066550788721541016, 0.0066546740836448664, 0.0066542876783386076, 0.0066539198149088092, 0.0066535706170818693, 0.0066532401790037402, 0.0066529285700587543, 0.0066526358391585487, 0.0066523620185269137, 0.0066521071270117301, 0.0066518711729590865, 0.0066516541566866089, 0.0066514560725939864, 0.0066512769109483292, 0.0066511166593808723, 0.006650975304129717, 0.0066508528310610234, 0.0066507492264981901, 0.0066506644778856318, 0.0066505985743104765, 0.0066505515069019859, 0.0066505232691252006, 0.0066505138569814852], [0.0065452072199949415, 0.0065452257800452315, 0.0065452814358556701, 0.0065453741146101543, 0.0065455036956309151, 0.0065456700113968591, 0.0065458728489586884, 0.0065461119517406094, 0.0065463870217156578, 0.0065466977219393631, 0.0065470436794243352, 0.006547424488336495, 0.006547839713492226, 0.0065482888941345374, 0.0065487715479656998, 0.0065492871754132837, 0.0065498352641067178, 0.0065504152935419455, 0.0065510267399124496, 0.0065516690810864262, 0.0065523418017112657, 0.0065530443984288247, 0.0065537763851870739, 0.0065545372986367846, 0.0065553267036048525, 0.006556144198639504, 0.0065569894216264933, 0.0065578620554796914, 0.0065587618339142482, 0.0065596885473158005, 0.0065606420487247883, 0.0065616222599617757, 0.0065626291779265931, 0.0065636628811125922, 0.0065647235363866744, 0.0065658114060967972, 0.0065669268555814172, 0.0065680703611706017, 0.0065692425187866841, 0.0065704440532742313, 0.0065716758286156795, 0.0065729388592215042, 0.0065742343225237585, 0.0065755635731512057, 0.0065769281590255567, 0.0065783298397945958, 0.0065797706081132945, 0.006581252714403232, 0.0065827786958704186, 0.0065843514107496916, 0.0065859740789811633, 0.006587650330823324, 0.006589384265286307, 0.0065911805207486589, 0.0065930443607315082, 0.0065949817785819357, 0.0065969996258133257, 0.0065991057701304812, 0.0066013092908216095, 0.0066036207213506122, 0.0066060523518024173, 0.0066086186075611777, 0.0066113365255779559, 0.006614226356306512, 0.0066173123285783262, 0.0066206236274311148, 0.0066241956528257642, 0.0066280716527730172, 0.0066323048615031417, 0.006636961328029752, 0.0066421237025296506, 0.0066478963732984637, 0.0066544125421840183, 0.0066618441366331797, 0.0066704159611221262, 0.0066804263327137408, 0.0066922778907919358, 0.0067065248326522121, 0.0067239475344546109, 0.0067456745347812107, 0.006773389974016583, 0.0068097030499129265, 0.0068588432423436815, 0.0069280587812321909, 0.0070306722827964564, 0.0071935007174634292, 0.0074775807348481781, 0.0080485801278843902, 0.0094986583462850684, 0.015293924733235089, 0.062876533898089879, 0.019207321806806912, 0.0095436128168853301, 0.0077594649579663727, 0.0071704232117957584, 0.0069126219814324239, 0.0067797470952591183, 0.0067035627475862556, 0.0066564898993039957, 0.0066257508002865347, 0.0066048073382852547, 0.0065900514703414858, 0.0065793700375441919, 0.0065714644336726464, 0.0065655043140638988, 0.0065609407592277184, 0.006557400449966254, 0.0065546232079206866, 0.0065524238046838594, 0.00655066788252847, 0.0065492563589965693, 0.0065481150836842646, 0.006547187832118515, 0.006546431469652338, 0.0065458125561650531, 0.0065453049255922722, 0.0065448879364224076, 0.006544545191334317, 0.0065442635896665081, 0.006544032619249132, 0.0065438438226191366, 0.0065436903918843154, 0.0065435668596970512, 0.0065434688629755541, 0.006543392962485458, 0.0065433365060314896, 0.0065432975263868369, 0.0065432746675990793, 0.0065432671352291952, 0.0065432683851123297, 0.006543272149297878, 0.0065432784716159317, 0.0065432874258607165, 0.0065432991169252835, 0.0065433136824277613, 0.0065433312948685743, 0.0065433521643714675, 0.0065433765420767672, 0.0065434047242733289, 0.0065434370573769097, 0.0065434739438882212, 0.0065435158494948614, 0.0065435633115188485, 0.0065436169489580479, 0.0065436774744270813, 0.0065437457083748892, 0.0065438225960461546, 0.0065439092277668823, 0.0065440068632785647, 0.006544116961029081, 0.0065442412135646834, 0.0065443815904729311, 0.0065445403907241516, 0.0065447203067805059, 0.0065449245035302988, 0.0065451567160218216, 0.0065454213712005504, 0.0065457237405179376, 0.0065460701325527485, 0.0065464681379205488, 0.0065469269431146808, 0.0065474577360761441, 0.0065480742350636943, 0.0065487933850652269, 0.0065496362845383401, 0.0065506294328232274, 0.0065518064301700405, 0.0065532103262252502, 0.0065548969128650129, 0.0065569394171749, 0.0065594353118877896, 0.0065625163991934873, 0.0065663640803815398, 0.0065712330703540291, 0.0065774892990101627, 0.006585672507202987, 0.0065966036219387509, 0.0066115772916631056, 0.0066327257398180314, 0.0066637512827187198, 0.0067115202634373382, 0.0067898881804155913, 0.0069301251688794422, 0.0072146733961308577, 0.0079168175284753516, 0.010326389165865051, 0.021893292386884304, 0.016509113512318738, 0.0094632139348176866, 0.0078478887989563446, 0.0072842315014953326, 0.0070261626385592635, 0.0068867766318926743, 0.0068028105623831655, 0.0067481799764394865, 0.0067105487426263486, 0.0066834653776249829, 0.0066632862897811574, 0.0066478249900445907, 0.006635703373252093, 0.0066260169278648008, 0.0066181514544885372, 0.0066116776570427612, 0.0066062879307858154, 0.0066017570682118075, 0.0065979170585870267, 0.00659464047797072, 0.0065918292735650747, 0.0065894070259751442, 0.006587313507268525, 0.0065855007869480391, 0.0065839304017455214, 0.0065825712693472274, 0.0065813981306472391, 0.0065803903729558287, 0.0065795311314345807, 0.0065788065961751565, 0.0065782054729104826, 0.0065777185595782611, 0.0065773384109207335, 0.0065770590703528196, 0.0065768758533574041, 0.0065767851702707237, 0.0065767843789099516, 0.0065768716593489181, 0.006577045904462479, 0.0065773066207734298, 0.0065776538347510766, 0.0065780880001038407, 0.0065786099018449199, 0.0065792205530466894, 0.0065799210802942381, 0.0065807125939648103, 0.0065815960396699647, 0.0065825720275883137, 0.0065836406370886735, 0.0065848011951110683, 0.0065860520283574364, 0.0065873901915625864, 0.0065888111770614332, 0.0065903086145799395, 0.0065918739746004835, 0.0065934962935955974, 0.0065951619445088205, 0.0065968544804904609, 0.0065985545832415154, 0.0066002401483670654, 0.0066018865377973687, 0.0066034670226192476, 0.0066049534279609915, 0.0066063169749513585, 0.0066075292942179903, 0.0066085635629597435, 0.0066093956963491221, 0.0066100055075097334, 0.0066103777421121024, 0.0066105028963921392, 0.0066103777421120989, 0.0066100055075097378, 0.0066093956963491239, 0.0066085635629597426, 0.0066075292942179929, 0.0066063169749513611, 0.0066049534279609889, 0.0066034670226192442, 0.0066018865377973661, 0.0066002401483670628, 0.0065985545832415206, 0.0065968544804904591, 0.0065951619445088249, 0.0065934962935955983, 0.0065918739746004843, 0.0065903086145799377, 0.0065888111770614367, 0.0065873901915625846, 0.0065860520283574373, 0.0065848011951110683, 0.0065836406370886717, 0.0065825720275883111, 0.0065815960396699638, 0.0065807125939648095, 0.0065799210802942364, 0.0065792205530466885, 0.0065786099018449208, 0.0065780880001038398, 0.0065776538347510783, 0.0065773066207734333, 0.0065770459044624772, 0.0065768716593489181, 0.0065767843789099499, 0.0065767851702707245, 0.006576875853357405, 0.006577059070352817, 0.0065773384109207318, 0.0065777185595782611, 0.0065782054729104835, 0.0065788065961751574, 0.0065795311314345815, 0.0065803903729558287, 0.0065813981306472409, 0.0065825712693472283, 0.0065839304017455197, 0.0065855007869480391, 0.006587313507268525, 0.0065894070259751476, 0.0065918292735650712, 0.0065946404779707165, 0.0065979170585870285, 0.0066017570682117945, 0.0066062879307858084, 0.0066116776570427534, 0.006618151454488525, 0.0066260169278647956, 0.0066357033732520826, 0.0066478249900445768, 0.0066632862897811366, 0.0066834653776249586, 0.0067105487426263018, 0.0067481799764394891, 0.0068028105623830302, 0.0068867766318925893, 0.0070261626385593468, 0.0072842315014953864, 0.0078478887989560462, 0.009463213934821052, 0.01650911351231895, 0.021893292386862519, 0.010326389165858183, 0.0079168175284750914, 0.0072146733961309158, 0.0069301251688792956, 0.0067898881804156269, 0.0067115202634373322, 0.0066637512827186713, 0.0066327257398180236, 0.0066115772916631125, 0.0065966036219387543, 0.0065856725072029774, 0.0065774892990101731, 0.0065712330703540283, 0.0065663640803815416, 0.006562516399193489, 0.0065594353118877853, 0.0065569394171749009, 0.0065548969128650129, 0.0065532103262252511, 0.0065518064301700405, 0.00655062943282323, 0.0065496362845383427, 0.006548793385065226, 0.006548074235063696, 0.0065474577360761432, 0.0065469269431146816, 0.0065464681379205454, 0.0065460701325527485, 0.0065457237405179367, 0.0065454213712005504, 0.0065451567160218225, 0.0065449245035303014, 0.0065447203067805042, 0.0065445403907241498, 0.0065443815904729285, 0.0065442412135646817, 0.0065441169610290801, 0.006544006863278563, 0.0065439092277668814, 0.0065438225960461564, 0.0065437457083748918, 0.0065436774744270804, 0.0065436169489580497, 0.0065435633115188494, 0.0065435158494948622, 0.006543473943888223, 0.0065434370573769062, 0.0065434047242733271, 0.0065433765420767681, 0.0065433521643714684, 0.0065433312948685743, 0.0065433136824277595, 0.0065432991169252826, 0.0065432874258607174, 0.0065432784716159325, 0.0065432721492978798, 0.0065432683851123306, 0.0065432671352291943, 0.0065432677598462642, 0.0065432696370597201, 0.0065432727769778017, 0.0065432771965195187, 0.006543282919523356, 0.0065432899769010964, 0.0065432984068384157, 0.0065433082550444121, 0.0065433195750528531, 0.0065433324285783948, 0.0065433468859318576, 0.0065433630264992056, 0.0065433809392898088, 0.006543400723560383, 0.0065434224895221053, 0.0065434463591394912, 0.006543472467030997, 0.0065435009614827882, 0.0065435320055888882, 0.0065435657785328999, 0.0065436024770288616, 0.006543642316941445, 0.0065436855351089004, 0.0065437323913958107, 0.0065437831710070688, 0.006543838187099439, 0.0065438977837332293, 0.0065439623392135162, 0.0065440322698787721, 0.0065441080344048096, 0.0065441901387037066, 0.006544279141511765, 0.0065443756607775445, 0.0065444803809817671, 0.006544594061545732, 0.0065447175465152231, 0.006544851775743884, 0.0065449977978450863, 0.0065451567852370038, 0.0065453300516740013, 0.0065455190727425139, 0.006545725509905234, 0.0065459512388099887, 0.0065461983827461243, 0.0065464693523418398, 0.0065467668928638704, 0.0065470941408234951, 0.0065474546920339478, 0.006547852683835796, 0.0065482928949521998, 0.0065487808674154933, 0.0065493230563031368, 0.0065499270147517082, 0.0065506016240473542, 0.0065513573817554092, 0.0065522067651919745, 0.0065531646935540547, 0.0065542491204495911, 0.0065554818005106276, 0.0065568892909139975, 0.0065585042735734136, 0.0065603673205858895, 0.0065625292807369728, 0.0065650545491214808, 0.0065680256129014734, 0.006571549473991781, 0.0065757668865374409, 0.0065808659075655817, 0.0065871022171303936, 0.0065948303521129494, 0.0066045530752865825, 0.0066170019336363219, 0.0066332736112440791, 0.0066550707483192398, 0.006685149075153227, 0.0067281986174349629, 0.0067927104006615001, 0.0068952989973221478, 0.0070718964285157587, 0.007411176616477274, 0.0081736333156284761, 0.010283988449549801, 0.015873496021391851, 0.014424272629898385, 0.0096555548477404267, 0.008000679152192873, 0.0073643077030270425, 0.0070656885479999619, 0.0069038894980551326, 0.006806873941196911, 0.0067442409630042999, 0.0067014802777581647, 0.0066709846348525104, 0.0066484623536559742, 0.006631345951731391, 0.0066180240404590859, 0.0066074441831175008, 0.0065988955031117593, 0.0065918838319943005, 0.0065860570062954097, 0.0065811585617260764, 0.0065769981317223281, 0.0065734320047596707, 0.0065703500438648059, 0.0065676666959676383, 0.0065653146924365951, 0.006563240558048104, 0.0065614013585121901, 0.0065597623110420257, 0.0065582950058720264, 0.0065569760665734585, 0.0065557861297558685, 0.0065547090601238336, 0.0065537313409652674, 0.0065528415968096306, 0.0065520302166652174, 0.006551289054521868, 0.0065506111897437385, 0.0065499907342842405, 0.0065494226768116042, 0.0065489027561693187, 0.0065484273583400199, 0.0065479934323960853, 0.0065475984219194334, 0.0065472402091392417, 0.0065469170696289868, 0.0065466276358668914, 0.0065463708683284189, 0.0065457906562140502, 0.006545494846422987, 0.0065455008212468866, 0.0065458493788706253, 0.0065466091920316442, 0.0065478851136269332, 0.0065498318670787975, 0.0065526759211752515, 0.0065567504638736731, 0.0065625521572230941, 0.0065708353632071602, 0.0065827730808136562, 0.006600241109889703, 0.0066263393082197147, 0.0066663903686441225, 0.0067299512340398757, 0.0068351003084862923, 0.0070181807798047275, 0.0073575637282265686, 0.0080358946424945749, 0.0095115974079468969, 0.012965526941185973, 0.020867910326255387, 0.033401542310080683, 0.037802273649982371, 0.026795170481243084, 0.015185786223829087, 0.0098731217180537886, 0.0079314485141615924, 0.0072016935833252704, 0.0069005708999787538, 0.0067635135525960562, 0.0066953236908084048, 0.0066586122352522929, 0.0066374078909406707, 0.0066243609423793535, 0.0066158625284324698, 0.0066100372606860119, 0.0066058604522905833, 0.006602746413280256, 0.0066003462754803252, 0.0065984440875232406, 0.0065969012106849327, 0.0065956254655482388, 0.0065945534438371185, 0.0065936400623853786, 0.0065928522244931556, 0.0065921648767516498, 0.0065915584993067461, 0.0065910174745479836, 0.0065905290061447179, 0.0065900823900477161, 0.0065896685149107364, 0.0065892795146829022, 0.006588908523723346, 0.0065885495019292898, 0.0065881971082082415, 0.0065878466076037378, 0.0065874938019580363, 0.0065871349770476612, 0.0065867668612028382, 0.0065863865918596824, 0.006585991687509023, 0.006585580023235651, 0.0065851498085753848, 0.0065846995668124506, 0.0065842281151352166, 0.0065837345452895253, 0.0065832182045339064, 0.0065826786768221519, 0.0065821157642251861, 0.0065815294686628846, 0.0065809199740529721, 0.0065802876290028582, 0.006579632930175161, 0.0065789565064519476, 0.0065782591040091758, 0.0065775415723941418, 0.0065768048516766037, 0.006576049960720861, 0.0065752779866022444, 0.0065744900751689636, 0.0065736874227290375, 0.0065728712688236284, 0.0065720428900316961, 0.0065712035947378339, 0.0065703547187843797, 0.0065694976219209701, 0.0065686336849592949, 0.0065677643075374367, 0.0065668909063969529, 0.0065660149140761457, 0.0065651377779248257, 0.0065642609593488544, 0.0065633859331966473, 0.0065625141872045871, 0.0065616472214236055, 0.0065607865475551018, 0.0065599336881305278, 0.0065590901754756089, 0.0065582575504070468, 0.0065574373606166799, 0.0065566311587054371, 0.0065558404998370574, 0.0065550669389893889, 0.0065543120277890381, 0.0065535773109234663, 0.0065528643221328866, 0.0065521745797928492, 0.0065515095821067557, 0.006550870801936187, 0.0065502596813049197, 0.0065496776256206406, 0.0065491259976659007, 0.0065486061114167051, 0.0065481192257535077, 0.0065476665381345748, 0.0065472491783060069, 0.0065468682021258637, 0.0065465245855813722, 0.0065462192190787099, 0.006545952902083492, 0.0065457263381873427, 0.0065455401306716452, 0.0065453947786336042, 0.0065452906737326118, 0.0065452280976061586, 0.0065452072199949415, 0.0065452211391332834, 0.0065452628674933944, 0.0065453323180112476, 0.006545429345914653, 0.006545553749220891, 0.0065457052694251382, 0.0065458835923715795, 0.0065460883492969267, 0.0065463191180340635, 0.0065465754243616914, 0.0065468567434841451, 0.0065471625016240795, 0.0065474920777094606, 0.0065478448051351995, 0.0065482199735790482, 0.0065486168308507208, 0.0065490345847529037, 0.0065494724049328483, 0.0065499294247032634, 0.0065504047428119041, 0.0065508974251396804, 0.0065514065063084033, 0.0065519309911801805, 0.0065524698562322283, 0.006553022050792427, 0.0065535864981230377, 0.0065541620963422576, 0.0065547477191758696, 0.0065553422165340273, 0.006555944414911548, 0.0065565531176132947, 0.0065571671048103653, 0.0065577851334368241, 0.0065584059369412665, 0.0065590282249126152, 0.0065596506826047776, 0.0065602719703907368, 0.0065608907231826203, 0.006561505549861125, 0.0065621150327643298, 0.0065627177272932023, 0.0065633121616984437, 0.0065638968371205088, 0.0065644702279618944, 0.0065650307826774995, 0.006565576925074864, 0.0065661070562210303, 0.0065666195570563178, 0.006567112791816784, 0.0065675851123661562, 0.0065680348635340034, 0.00656846038954924, 0.0065688600416460435, 0.006569232186902539, 0.0065695752183504786, 0.0065698875663664892, 0.0065701677113219068, 0.0065704141974290298, 0.0065706256476772487, 0.0065708007797035759, 0.0065709384223900701, 0.006571037532927153, 0.0065710972140289375, 0.0065711167309371564, 0.006571095527807002, 0.0065710332430341228, 0.0065709297230606752, 0.0065707850341924102, 0.0065705994719708789, 0.0065703735676769541, 0.0065701080915946276, 0.0065698040527373391, 0.0065694626948310337, 0.0065690854884561597, 0.0065686741193700113, 0.0065682304731561813, 0.0065677566164731738, 0.006567254775292501, 0.0065667273106218291, 0.0065661766922945975, 0.0065656054714696146, 0.0065650162525188243, 0.0065644116649872779, 0.0065637943362865771, 0.0065631668657338601, 0.0065625318004761844, 0.0065618916137499947, 0.0065612486858231201, 0.0065606052878578536, 0.0065599635688248078, 0.0065593255454931788, 0.0065586930954285227, 0.006558067952847549, 0.0065574517071130762, 0.0065568458036020577, 0.0065562515466458353, 0.0065556701042232685, 0.0065551025140829231, 0.0065545496909777652, 0.0065540124347127958, 0.0065534914387300695, 0.006552987298984821, 0.0065525005228982067, 0.0065520315382055624, 0.0065515807015515369, 0.0065511483067150654, 0.0065507345923757742, 0.0065503397493596868, 0.0065499639273248721, 0.0065496072408671993, 0.0065492697750428649, 0.0065489515903173947, 0.0065486527269613872, 0.0065483732089210728, 0.0065481130471973653, 0.0065478722427708179, 0.0065476507891118734, 0.0065474486743165887, 0.0065472658829075501, 0.0065471023973384486, 0.0065469581992387057, 0.0065468332704322037, 0.0065467275937610373, 0.0065466411537421438, 0.0065465739370811921, 0.0065465259330644253, 0.0065464971338456473, 0.006546487534641654], [0.006476838576135388, 0.0064768578134439909, 0.0064769155001479783, 0.0064770115607961365, 0.0064771458703490057, 0.0064773182552421999, 0.0064775284948640696, 0.006477776323437043, 0.0064780614322890989, 0.0064783834724995082, 0.0064787420579005932, 0.0064791367684155299, 0.006479567153710516, 0.0064800327371386307, 0.0064805330199518545, 0.0064810674857573866, 0.006481635605194545, 0.006482236840809028, 0.0064828706521021925, 0.0064835365007344936, 0.0064842338558639481, 0.006484962199602695, 0.0064857210325773252, 0.0064865098795817144, 0.0064873282953144219, 0.0064881758701965664, 0.0064890522362703569, 0.0064899570731830553, 0.0064908901142663655, 0.006491851152727008, 0.0064928400479704303, 0.0064938567320869259, 0.0064949012165372768, 0.0064959735990841854, 0.006497074071026304, 0.006498202924803769, 0.0064993605620584319, 0.0065005475022489505, 0.0065017643919411654, 0.0065030120149185333, 0.0065042913032872024, 0.0065056033497866298, 0.0065069494215612101, 0.0065083309757038316, 0.0065097496769506435, 0.0065112074179918171, 0.0065127063429697343, 0.0065142488748696249, 0.0065158377476755057, 0.0065174760443754169, 0.006519167242166354, 0.0065209152665458873, 0.0065227245564043234, 0.0065246001427730904, 0.0065265477445758478, 0.0065285738856119407, 0.0065306860381355294, 0.0065328927998564851, 0.0065352041130869931, 0.006537631537237085, 0.0065401885891271357, 0.0065428911699237664, 0.0065457581033315365, 0.0065488118175866796, 0.0065520792146882695, 0.006555592785490688, 0.0065593920507797795, 0.0065635254393537935, 0.0065680527592593217, 0.0065730484853585604, 0.0065786061877219646, 0.0065848445813827894, 0.0065919159231896873, 0.0066000178753041023, 0.006609410602785604, 0.0066204419675380023, 0.0066335855873068759, 0.0066494999624203228, 0.0066691233014032512, 0.006693831253345623, 0.0067257106481782482, 0.0067680589345880428, 0.0068263517585613245, 0.006910260409013348, 0.0070382648958214212, 0.0072495437139642261, 0.007640021161042709, 0.0085005798863475677, 0.011088187723932183, 0.026103488633548326, 0.048524014218930725, 0.012435045695291799, 0.008393275355424527, 0.0073602200972780318, 0.006963610148489641, 0.0067747415161841058, 0.0066720405775294459, 0.0066109496547014836, 0.0065721821737735721, 0.0065463528096462113, 0.0065284787189270801, 0.0065157299101928599, 0.0065064103193821481, 0.0064994578533182972, 0.0064941826756522722, 0.0064901226830308689, 0.0064869600280924259, 0.0064844710200580398, 0.0064824950466015044, 0.0064809147315649553, 0.0064796429412437946, 0.0064786140822490831, 0.0064777781556449006, 0.0064770966207430246, 0.006476539470865586, 0.0064760831355312768, 0.006475708955501442, 0.0064754020609631762, 0.0064751505374129213, 0.0064749447995751481, 0.0064747771176473547, 0.0064746412564517164, 0.0064745321993094958, 0.006474445936313084, 0.0064743793022445512, 0.0064743298534017278, 0.0064742957755293097, 0.0064742758172458359, 0.0064742692450397953, 0.0064742703262506661, 0.0064742735831419228, 0.006474279055689626, 0.0064742868111923139, 0.0064742969452951278, 0.0064743095834569851, 0.006474324882895708, 0.0064743430350578546, 0.0064743642686737419, 0.006474388853473941, 0.0064744171046622126, 0.0064744493882621258, 0.0064744861274814661, 0.0064745278102712857, 0.0064745749982965907, 0.0064746283375851634, 0.0064746885711826404, 0.0064747565542190169, 0.0064748332718884754, 0.0064749198609670381, 0.0064750176356482827, 0.0064751281186768974, 0.0064752530790167006, 0.0064753945776227246, 0.0064755550233214889, 0.0064757372413746031, 0.0064759445580567588, 0.0064761809055879213, 0.0064764509531165327, 0.0064767602712924146, 0.0064771155404909995, 0.0064775248162413802, 0.006477997870291222, 0.0064785466326432884, 0.0064791857697765456, 0.0064799334485882388, 0.0064808123566554247, 0.006481851080857374, 0.0064830859941170365, 0.0064845638737364986, 0.0064863455909256401, 0.0064885113980006192, 0.0064911686476280765, 0.0064944632991744402, 0.0064985974736499093, 0.0065038569488142517, 0.0065106555269707133, 0.0065196091227434812, 0.006531664487549509, 0.006548333526155338, 0.0065721441415124947, 0.0066075679710397755, 0.0066630949292865744, 0.0067563890484399836, 0.0069290119242284062, 0.0072973134829196588, 0.0082843186698986233, 0.012179753824707555, 0.02622992268650973, 0.013195272605454158, 0.0087327129627264195, 0.0075755107629435691, 0.0071311685808427821, 0.0069157425080798481, 0.0067949860167819875, 0.0067203347592387427, 0.0066708313266845409, 0.0066362314983713011, 0.0066110420025905477, 0.0065920988965349585, 0.0065774732458750594, 0.0065659333372379046, 0.006556661871017215, 0.0065490986956854395, 0.0065428491551187649, 0.0065376284979006306, 0.0065332269784153466, 0.0065294872809531414, 0.0065262895255605788, 0.0065235410743629775, 0.0065211694558595353, 0.0065191173611096331, 0.0065173390452416789, 0.0065157977000250764, 0.0065144635088443641, 0.0065133121886403571, 0.0065123238842479158, 0.0065114823210077064, 0.0065107741488463228, 0.0065101884297399564, 0.0065097162334761373, 0.0065093503157594105, 0.0065090848591836808, 0.0065089152622232428, 0.0065088379647196219, 0.0065088503007331832, 0.0065089503713447088, 0.0065091369312136778, 0.0065094092835584214, 0.0065097671788165281, 0.0065102107126502971, 0.0065107402192482716, 0.0065113561561028722, 0.0065120589766805318, 0.0065128489877143859, 0.0065137261883199595, 0.0065146900888499223, 0.0065157395084613386, 0.0065168723518674128, 0.006518085367774689, 0.0065193738941305961, 0.0065207315985369597, 0.0065221502259521329, 0.0065236193699181669, 0.0065251262876659085, 0.0065266557830507216, 0.006528190183658961, 0.0065297094387737004, 0.0065311913623347885, 0.0065326120388341921, 0.006533946399845985, 0.0065351689647565837, 0.0065362547221428126, 0.0065371801098864342, 0.0065379240349913784, 0.0065384688610740553, 0.0065388012854036733, 0.0065389130302057332, 0.0065388012854036707, 0.0065384688610740623, 0.0065379240349913775, 0.0065371801098864334, 0.0065362547221428126, 0.0065351689647565872, 0.006533946399845985, 0.0065326120388341895, 0.0065311913623347841, 0.0065297094387736987, 0.0065281901836589636, 0.0065266557830507207, 0.0065251262876659076, 0.0065236193699181677, 0.0065221502259521372, 0.0065207315985369579, 0.006519373894130597, 0.0065180853677746856, 0.0065168723518674119, 0.0065157395084613403, 0.0065146900888499205, 0.0065137261883199578, 0.0065128489877143824, 0.0065120589766805336, 0.0065113561561028722, 0.0065107402192482716, 0.0065102107126502962, 0.0065097671788165263, 0.0065094092835584205, 0.0065091369312136778, 0.0065089503713447088, 0.0065088503007331841, 0.0065088379647196219, 0.0065089152622232419, 0.00650908485918368, 0.0065093503157594079, 0.0065097162334761339, 0.0065101884297399572, 0.0065107741488463254, 0.0065114823210077064, 0.0065123238842479175, 0.0065133121886403562, 0.0065144635088443658, 0.0065157977000250772, 0.0065173390452416789, 0.0065191173611096305, 0.0065211694558595318, 0.0065235410743629809, 0.0065262895255605753, 0.0065294872809531362, 0.0065332269784153484, 0.0065376284979006159, 0.0065428491551187589, 0.0065490986956854309, 0.006556661871017202, 0.0065659333372378986, 0.0065774732458750472, 0.0065920988965349411, 0.0066110420025905191, 0.0066362314983712742, 0.0066708313266844775, 0.0067203347592387419, 0.0067949860167818045, 0.0069157425080797232, 0.0071311685808429087, 0.0075755107629436194, 0.0087327129627257239, 0.013195272605464901, 0.026229922686509616, 0.012179753824697832, 0.0082843186698962155, 0.0072973134829195478, 0.0069290119242284322, 0.0067563890484398951, 0.0066630949292866021, 0.0066075679710397694, 0.00657214414151246, 0.0065483335261553345, 0.0065316644875495124, 0.0065196091227434846, 0.0065106555269707107, 0.0065038569488142604, 0.0064985974736499084, 0.0064944632991744437, 0.0064911686476280765, 0.0064885113980006157, 0.0064863455909256384, 0.0064845638737364977, 0.0064830859941170374, 0.0064818510808573749, 0.0064808123566554247, 0.0064799334485882432, 0.0064791857697765465, 0.0064785466326432901, 0.0064779978702912211, 0.0064775248162413793, 0.0064771155404909986, 0.0064767602712924137, 0.0064764509531165318, 0.0064761809055879187, 0.0064759445580567596, 0.0064757372413746048, 0.006475555023321488, 0.0064753945776227237, 0.006475253079016698, 0.0064751281186768974, 0.0064750176356482827, 0.0064749198609670381, 0.0064748332718884763, 0.0064747565542190178, 0.0064746885711826413, 0.0064746283375851626, 0.0064745749982965933, 0.0064745278102712857, 0.0064744861274814653, 0.0064744493882621284, 0.0064744171046622143, 0.0064743888534739393, 0.0064743642686737419, 0.0064743430350578555, 0.0064743248828957097, 0.0064743095834569843, 0.0064742969452951278, 0.0064742868111923139, 0.0064742790556896251, 0.0064742735831419245, 0.0064742703262506661, 0.0064742692450397935, 0.0064742697853509279, 0.0064742714093712923, 0.0064742741263811255, 0.0064742779519121408, 0.0064742829078452404, 0.0064742890225487175, 0.0064742963310584177, 0.0064743048753017887, 0.0064743147043681976, 0.0064743258748284176, 0.0064743384511068338, 0.0064743525059104239, 0.0064743681207193949, 0.0064743853863450766, 0.006474404403561531, 0.0064744252838184217, 0.006474448150043749, 0.0064744731375463872, 0.0064745003950298459, 0.006474530085730402, 0.0064745623886947063, 0.0064745975002143043, 0.0064746356354371303, 0.006474677030179201, 0.006474721942963284, 0.0064747706573156988, 0.0064748234843572958, 0.0064748807657306331, 0.0064749428769123579, 0.0064750102309680292, 0.0064750832828165371, 0.0064751625340829528, 0.0064752485386328166, 0.0064753419088976914, 0.0064754433231221896, 0.0064755535336874243, 0.0064756733766956152, 0.0064758037830371287, 0.0064759457912058425, 0.0064761005621834684, 0.0064762693967811468, 0.0064764537559103465, 0.0064766552843595572, 0.0064768758387836458, 0.0064771175207770908, 0.0064773827161097447, 0.0064776741414677482, 0.0064779949003796796, 0.006478348550442309, 0.0064787391845227589, 0.0064791715293473356, 0.0064796510658504322, 0.0064801841769318398, 0.0064807783299713345, 0.006481442303737657, 0.0064821864724355074, 0.0064830231638927788, 0.0064839671147873994, 0.006485036054070103, 0.0064862514574350145, 0.006487639532466334, 0.0064892325184790819, 0.0064910704210495683, 0.0064932033551421799, 0.0064956947529115367, 0.0064986258198536902, 0.0065021018251644148, 0.0065062611397525639, 0.0065112884793231433, 0.0065174347381166562, 0.0065250474313814063, 0.0065346187352334946, 0.0065468637296611822, 0.0065628525467077972, 0.0065842431755666975, 0.0066137124322090419, 0.0066558022919946487, 0.0067187050085118945, 0.0068183748999734572, 0.0069891067216995752, 0.0073148696618613347, 0.008040005861683611, 0.010028973448592902, 0.015539125472121733, 0.014851221995761058, 0.0097734858710976751, 0.0079963577641781348, 0.0073235887479018427, 0.0070114405548323214, 0.006843590262273538, 0.0067434767750008734, 0.0066790909330321294, 0.0066352596285718215, 0.0066040694814731146, 0.0065810742136000605, 0.0065636224755397151, 0.0065500546388491451, 0.006539289134206136, 0.006530596752360048, 0.0065234713750076658, 0.0065175528084663358, 0.0065125790467622218, 0.0065083558083918903, 0.0065047365581054227, 0.0065016090842184657, 0.0064988862837956282, 0.006496499713022328, 0.0064943949935384769, 0.0064925284885209303, 0.0064908648626900633, 0.0064893752674962521, 0.0064880359749653477, 0.0064868273378687448, 0.0064857329902003767, 0.0064847392266657745, 0.0064838345169620382, 0.0064830091225781521, 0.0064822547923143077, 0.0064815645187914677, 0.0064809323426243152, 0.0064803531941547542, 0.0064798227650275609, 0.0064793374036697191, 0.006478894030075788, 0.0064784900663204673, 0.0064781233800002853, 0.0064777922384103492, 0.0064774952717330837, 0.0064768005995598397, 0.0064763941102704064, 0.0064762866972423007, 0.0064765124602450524, 0.0064771322257504201, 0.0064782406897836032, 0.006479978438901789, 0.0064825512031905577, 0.006486260471512309, 0.0064915526849962111, 0.0064990998301123143, 0.0065099348138665429, 0.0065256856209120759, 0.0065489940138378508, 0.0065842924877035974, 0.0066393060581028595, 0.006728085599929285, 0.0068774183405529441, 0.0071409457567473307, 0.0076309619586859001, 0.008587132029152884, 0.010486904263937485, 0.013956455046682543, 0.018350252916408162, 0.019625692624630282, 0.015796144773551971, 0.011271444182428711, 0.0086827183162342791, 0.0075201116053044822, 0.0070157068328295692, 0.0067871076700096768, 0.0066763699979046848, 0.00661883580047127, 0.0065868585768034055, 0.0065679244389024709, 0.0065560344492944199, 0.0065481538772424186, 0.0065426698576714721, 0.0065386855536703377, 0.0065356810008472439, 0.006533342713439306, 0.0065314745399932157, 0.006529949279407918, 0.0065286815257622581, 0.006527611953561766, 0.0065266979639487903, 0.0065259079706564554, 0.0065252178246141389, 0.0065246085265474882, 0.0065240647333182781, 0.0065235737640541875, 0.0065231249273697417, 0.0065227090587588665, 0.0065223181979258572, 0.00652194536072231, 0.006521584375882304, 0.0065212297666028003, 0.0065208766633846321, 0.0065205207387390336, 0.0065201581571725734, 0.0065197855357812121, 0.0065193999121200951, 0.0065189987169646281, 0.00651857975026512, 0.0065181411591027829, 0.0065176814168317835, 0.0065171993028752219, 0.0065166938828563285, 0.0065161644889053429, 0.0065156107000995736, 0.0065150323230771636, 0.006514429372920752, 0.0065138020544408363, 0.0065131507440045217, 0.0065124759720573732, 0.0065117784064776503, 0.0065110588368857917, 0.0065103181600107852, 0.0065095573661904001, 0.0065087775270565012, 0.0065079797844309418, 0.0065071653404330018, 0.0065063354487767981, 0.0065054914072172074, 0.0065046345510856168, 0.0065037662478428489, 0.0065028878925653434, 0.0065020009042724312, 0.0065011067229968755, 0.006500206807497487, 0.0064993026335114336, 0.0064983956924443307, 0.0064974874903982955, 0.0064965795474413567, 0.0064956733970259212, 0.0064947705854690382, 0.0064938726714128189, 0.0064929812251897949, 0.0064920978280243319, 0.0064912240710083592, 0.0064903615537968218, 0.0064895118829758087, 0.0064886766700639328, 0.0064878575291156485, 0.006487056073903273, 0.0064862739146628436, 0.0064855126543976191, 0.0064847738847416438, 0.0064840591813946679, 0.006483370099148492, 0.0064827081665336994, 0.0064820748801242148, 0.0064814716985454896, 0.00648090003624002, 0.0064803612570511248, 0.0064798566676923797, 0.0064793875111757637, 0.0064789549602759329, 0.0064785601111113427, 0.0064782039769246957, 0.0064778874821455439, 0.0064776114568166109, 0.0064773766314624569, 0.0064771836324747176, 0.0064770329780818175, 0.0064769250749637753, 0.0064768602155634066, 0.006476838576135388, 0.006476853003178829, 0.0064768962541291338, 0.0064769682385509798, 0.0064770688060665649, 0.0064771977468728575, 0.0064773547924571809, 0.006477539616502619, 0.0064777518359725485, 0.0064779910123615022, 0.0064782566530976193, 0.0064785482130802173, 0.0064788650963344034, 0.0064792066577633875, 0.0064795722049780574, 0.0064799610001824931, 0.0064803722620935273, 0.006480805167872159, 0.006481258855044544, 0.0064817324233904603, 0.0064822249367777179, 0.0064827354249215484, 0.0064832628850492596, 0.006483806283451461, 0.0064843645569029303, 0.0064849366139378669, 0.0064855213359664267, 0.0064861175782217964, 0.0064867241705298239, 0.0064873399178960048, 0.0064879636009082028, 0.0064885939759568422, 0.0064892297752785592, 0.0064898697068335592, 0.006490512454031724, 0.0064911566753277482, 0.0064918010037112285, 0.0064924440461236813, 0.0064930843828409322, 0.006493720566866229, 0.0064943511233867632, 0.006494974549353558, 0.0064955893132526699, 0.0064961938551431325, 0.0064967865870445918, 0.0064973658937648769, 0.0064979301342637996, 0.0064984776436549426, 0.0064990067359507403, 0.0064995157076577128, 0.0065000028423278884, 0.006500466416167903, 0.0065009047047993691, 0.0065013159912513463, 0.0065016985752480829, 0.0065020507838318481, 0.0065023709833314097, 0.0065026575926513397, 0.0065029090978159553, 0.006503124067654702, 0.0065033011704643618, 0.0065034391914284093, 0.0065035370505174212, 0.0065035938205389122, 0.0065036087449526353, 0.0065035812550221575, 0.006503510985837747, 0.0065033977907236777, 0.0065032417535371787, 0.0065030431983797952, 0.0065028026962763892, 0.006502521068433539, 0.0065021993857669394, 0.0065018389644854041, 0.0065014413576332383, 0.0065010083426191049, 0.0065005419048918336, 0.0065000442180556655, 0.0064995176208418179, 0.006498964591463467, 0.0064983877199709167, 0.0064977896792879648, 0.0064971731956455173, 0.0064965410191333553, 0.0064958958950654044, 0.0064952405368004403, 0.0064945776005829372, 0.0064939096628726291, 0.0064932392005227942, 0.0064925685740520826, 0.006491900014139922, 0.0064912356113658674, 0.0064905773091142264, 0.0064899268994798023, 0.0064892860219415262, 0.006488656164518684, 0.0064880386670896793, 0.006487434726534895, 0.0064868454033610761, 0.0064862716294733971, 0.0064857142167795874, 0.0064851738663367405, 0.0064846511777823124, 0.0064841466588250367, 0.0064836607346065531, 0.0064831937567791462, 0.006482746012178197, 0.0064823177309982398, 0.0064819090944090493, 0.0064815202415721331, 0.0064811512760386053, 0.0064808022715263707, 0.0064804732770884889, 0.0064801643216953544, 0.0064798754182615308, 0.0064796065671537282, 0.0064793577592203999, 0.0064791289783852147, 0.0064789202038475152, 0.0064787314119321886, 0.006478562577630036, 0.0064784136758674251, 0.0064782846825415189, 0.0064781755753538809, 0.0064780863344721731, 0.0064780169430457279, 0.0064779673875970754, 0.0064779376583075973, 0.0064779277492113957], [0.0063998059010565364, 0.0063998257363408733, 0.0063998852162325624, 0.0063999842630703459, 0.0064001227481595285, 0.0064003004928773512, 0.00640051727020911, 0.0064007728067039396, 0.0064010667848362806, 0.0064013988457564622, 0.0064017685924116306, 0.0064021755930162251, 0.0064026193848496279, 0.0064030994783575296, 0.0064036153615327218, 0.0064041665045507165, 0.0064047523646357848, 0.0064053723911335564, 0.0064060260307673709, 0.0064067127330570623, 0.0064074319558808284, 0.0064081831711631744, 0.0064089658706747363, 0.0064097795719330677, 0.0064106238241970898, 0.0064114982145520548, 0.006412402374086453, 0.0064133359841673371, 0.0064142987828261291, 0.0064152905712733304, 0.0064163112205672416, 0.006417360678469871, 0.0064184389765318244, 0.0064195462374580124, 0.0064206826828176727, 0.0064218486411756403, 0.0064230445567375997, 0.0064242709986208953, 0.0064255286708850895, 0.0064268184234835078, 0.0064281412643302869, 0.0064294983727178475, 0.006430891114369632, 0.0064323210584745624, 0.0064337899971262536, 0.0064352999676853696, 0.006436853278702752, 0.0064384525401903047, 0.0064401006992145021, 0.0064418010820238986, 0.006443557444220851, 0.0064453740308659368, 0.0064472556488838319, 0.0064492077547509009, 0.0064512365612258531, 0.0064533491678867034, 0.0064555537215275176, 0.0064578596141396105, 0.0064602777283790571, 0.006462820743279786, 0.0064655035167528576, 0.0064683435664642797, 0.0064713616775053722, 0.0064745826745914404, 0.0064780364094284924, 0.0064817590320013973, 0.0064857946403428296, 0.0064901974406842301, 0.0064950346048174377, 0.0065003900936885803, 0.0065063698414943687, 0.0065131088891439443, 0.0065207813646759732, 0.0065296147093616445, 0.0065399103825358055, 0.0065520747069136558, 0.0065666660415555789, 0.0065844690966838102, 0.0066066160364410386, 0.0066347916864282815, 0.0066715975076433766, 0.0067212331765489049, 0.0067908595688810861, 0.0068935552535760733, 0.0070554291325640884, 0.0073352417728235215, 0.0078899019309290538, 0.0092658079362756725, 0.014512503465468701, 0.059427441069829098, 0.021756734290662202, 0.0097653282195000433, 0.0077208684693113611, 0.0070685165961936729, 0.0067882539488350237, 0.0066455104643713871, 0.0065643589741061206, 0.0065145421448564531, 0.0064821822247046667, 0.0064602325248856382, 0.0064448279643457155, 0.0064337161480803144, 0.0064255187466705239, 0.0064193576526375105, 0.0064146542323918277, 0.0064110160825153412, 0.0064081704276883538, 0.0064059235240372814, 0.0064041351346832394, 0.0064027020402406248, 0.006401547127946999, 0.0064006120167617985, 0.0063998519766926094, 0.0063992323682273309, 0.0063987261082214409, 0.0063983118409422597, 0.0063979726012372597, 0.0063976948261765419, 0.006397467616805869, 0.006397282181708425, 0.0063971314143427679, 0.006397009569993414, 0.0063969120177925828, 0.0063968350500386434, 0.006396775735860981, 0.0063967318097706317, 0.0063967015882018001, 0.006396683909074709, 0.0063966780908932177, 0.0063966790340348346, 0.0063966818756215219, 0.006396686652320383, 0.006396693425852632, 0.0063967022839223281, 0.0063967133415463459, 0.0063967267428166512, 0.006396742663136416, 0.00639676131198372, 0.0063967829362704771, 0.0063968078243806653, 0.0063968363109915462, 0.0063968687828050317, 0.0063969056853448933, 0.0063969475310105533, 0.0063969949086210287, 0.0063970484947359491, 0.0063971090671069543, 0.0063971775206959226, 0.0063972548868013578, 0.0063973423559671692, 0.0063974413055175438, 0.0063975533327790138, 0.0063976802953313082, 0.0063978243599931645, 0.0063979880627258491, 0.006398174382265252, 0.0063983868311267124, 0.0063986295687419367, 0.0063989075429915559, 0.0063992266684445489, 0.0063995940524296004, 0.0064000182839692062, 0.0064005098060877178, 0.0064010813997832918, 0.0064017488191321463, 0.0064025316332726205, 0.0064034543550654348, 0.0064045479723096564, 0.006405852052450936, 0.0064074176772806702, 0.0064093115997842535, 0.0064116222351684521, 0.006414468463210924, 0.0064180128419062728, 0.0064224819272192006, 0.0064281983842725517, 0.006435633334912952, 0.0064454948034349327, 0.0064588835064339359, 0.006477581064702578, 0.0065046154420391657, 0.0065454525809027194, 0.0066107421799166712, 0.0067234125276265698, 0.0069400256876841803, 0.0074303403891834239, 0.0088829114165254741, 0.015549741655702201, 0.024118241363937597, 0.011054900376734742, 0.0081898929067849412, 0.0073387438692413421, 0.0069833575629487318, 0.006802031958481042, 0.0066968906043518607, 0.0066303152278142201, 0.006585372713213097, 0.006553525420807828, 0.0065300852449526117, 0.0065123008442178757, 0.0064984691157655965, 0.006487488774461014, 0.0064786212881950194, 0.0064713559005536566, 0.0064653299451193436, 0.0064602799730991587, 0.00645601077401225, 0.0064523751644680041, 0.006449260463226086, 0.0064465792344463504, 0.0064442628234744797, 0.0064422567604620565, 0.0064405174384114944, 0.0064390096765556959, 0.0064377049089110539, 0.006436579820906424, 0.006435615311527065, 0.0064347956948406183, 0.0064341080794892321, 0.0064335418817419573, 0.0064330884395571502, 0.0064327407034598071, 0.0064324929859819148, 0.0064323407556722686, 0.0064322804647477935, 0.0064323094016701179, 0.00643242556152516, 0.006432627528229074, 0.0064329143634052925, 0.0064332854973707509, 0.00643374061811314, 0.0064342795545051356, 0.0064349021503534894, 0.0064356081262891543, 0.0064363969270434893, 0.006437267552403883, 0.0064382183711822506, 0.0064392469189433537, 0.0064403496820945169, 0.0064415218732772686, 0.0064427572058176549, 0.006444047678205801, 0.0064453833830046192, 0.0064467523579226985, 0.006448140499577126, 0.0064495315621338114, 0.0064509072628708758, 0.0064522475140832789, 0.0064535307950794587, 0.0064547346690524586, 0.0064558364375494909, 0.0064568139109362939, 0.006457646258135075, 0.0064583148850448271, 0.0064588042807562562, 0.0064591027661424416, 0.0064592030822022617, 0.0064591027661424398, 0.0064588042807562614, 0.0064583148850448271, 0.006457646258135075, 0.0064568139109362948, 0.0064558364375494918, 0.0064547346690524586, 0.0064535307950794579, 0.006452247514083278, 0.0064509072628708749, 0.0064495315621338149, 0.006448140499577126, 0.0064467523579227011, 0.00644538338300462, 0.0064440476782058045, 0.0064427572058176523, 0.0064415218732772686, 0.006440349682094516, 0.0064392469189433563, 0.0064382183711822515, 0.0064372675524038813, 0.0064363969270434893, 0.0064356081262891499, 0.0064349021503534894, 0.0064342795545051356, 0.0064337406181131417, 0.0064332854973707526, 0.0064329143634052934, 0.0064326275282290749, 0.0064324255615251617, 0.0064323094016701162, 0.0064322804647477926, 0.0064323407556722712, 0.0064324929859819156, 0.0064327407034598071, 0.0064330884395571502, 0.0064335418817419547, 0.0064341080794892321, 0.0064347956948406192, 0.0064356153115270667, 0.0064365798209064266, 0.006437704908911053, 0.0064390096765556994, 0.0064405174384114944, 0.0064422567604620548, 0.0064442628234744779, 0.0064465792344463478, 0.0064492604632260895, 0.0064523751644679989, 0.0064560107740122483, 0.0064602799730991596, 0.0064653299451193297, 0.0064713559005536488, 0.0064786212881950082, 0.0064874887744609949, 0.0064984691157655887, 0.0065123008442178661, 0.0065300852449525909, 0.0065535254208077933, 0.0065853727132130589, 0.0066303152278141368, 0.0066968906043518616, 0.0068020319584807852, 0.0069833575629485323, 0.0073387438692415607, 0.0081898929067851216, 0.011054900376732712, 0.024118241363958681, 0.015549741655701489, 0.0088829114165221035, 0.0074303403891823648, 0.0069400256876841074, 0.0067234125276265898, 0.0066107421799166096, 0.0065454525809027419, 0.006504615442039164, 0.0064775810647025502, 0.0064588835064339342, 0.0064454948034349327, 0.0064356333349129546, 0.0064281983842725474, 0.0064224819272192084, 0.0064180128419062754, 0.0064144684632109266, 0.0064116222351684529, 0.0064093115997842535, 0.0064074176772806694, 0.0064058520524509343, 0.006404547972309659, 0.0064034543550654357, 0.0064025316332726222, 0.006401748819132148, 0.0064010813997832884, 0.0064005098060877213, 0.006400018283969207, 0.0063995940524295986, 0.006399226668444548, 0.0063989075429915559, 0.0063986295687419375, 0.0063983868311267124, 0.0063981743822652546, 0.0063979880627258508, 0.0063978243599931619, 0.0063976802953313082, 0.0063975533327790138, 0.0063974413055175438, 0.0063973423559671684, 0.006397254886801357, 0.0063971775206959217, 0.0063971090671069543, 0.0063970484947359499, 0.0063969949086210287, 0.0063969475310105524, 0.0063969056853448924, 0.0063968687828050309, 0.0063968363109915471, 0.0063968078243806644, 0.0063967829362704762, 0.0063967613119837227, 0.006396742663136416, 0.0063967267428166495, 0.0063967133415463459, 0.0063967022839223281, 0.006396693425852632, 0.0063966866523203821, 0.0063966818756215219, 0.0063966790340348346, 0.0063966780908932186, 0.0063966785621954025, 0.0063966799789496676, 0.0063966823497165958, 0.0063966856888221912, 0.0063966900164460459, 0.0063966953587460233, 0.0063967017480207741, 0.0063967092229117103, 0.0063967178286465972, 0.0063967276173273113, 0.0063967386482648271, 0.0063967509883650605, 0.0063967647125698166, 0.0063967799043577146, 0.0063967966563108318, 0.0063968150707535525, 0.0063968352604711872, 0.0063968573495170105, 0.0063968814741176315, 0.0063969077836881121, 0.0063969364419699335, 0.00639696762830687, 0.0063970015390760844, 0.0063970383892944386, 0.0063970784144230901, 0.006397121872396952, 0.006397169045909987, 0.0063972202449921155, 0.0063972758099194189, 0.0063973361145063003, 0.00639740156983636, 0.0063974726284985817, 0.0063975497894070595, 0.0063976336032964204, 0.0063977246790018249, 0.0063978236906526726, 0.0063979313859334587, 0.0063980485955949041, 0.0063981762444345622, 0.0063983153640102238, 0.0063984671074036863, 0.0063986327664193919, 0.0063988137916852119, 0.0063990118162259302, 0.0063992286832090014, 0.0063994664787244493, 0.0063997275706658393, 0.0064000146550400412, 0.006400330811366769, 0.0064006795692576187, 0.0064010649888196179, 0.00640149175825179, 0.0064019653129534643, 0.0064024919817199499, 0.006403079167277342, 0.0064037355706625101, 0.0064044714720135152, 0.0064052990845271246, 0.0064062330041417346, 0.0064072907856221563, 0.006408493687215553, 0.0064098676425222521, 0.0064114445421601506, 0.0064132639430815389, 0.0064153753762249939, 0.0064178415036296229, 0.0064207425009315333, 0.0064241822387006691, 0.0064282971557691705, 0.0064332692478837926, 0.006439345498387713, 0.0064468676640126342, 0.0064563192104260128, 0.0064684016300852422, 0.0064841630928135843, 0.0065052245850395337, 0.0065341974427590944, 0.0065755007350682534, 0.0066370788069619281, 0.0067343390779560537, 0.0069002246432573388, 0.0072148405300297685, 0.0079093335202901488, 0.0097981556588698643, 0.01520655361467653, 0.015233785127583501, 0.0098763611347953573, 0.0079801369663269773, 0.0072724555054408868, 0.0069475038775058838, 0.0067739809912291133, 0.0066709839465975548, 0.0066049759509117512, 0.0065601589387586749, 0.0065283324863713342, 0.0065049059835778078, 0.0064871500578850896, 0.0064733603352724479, 0.0064624282938839919, 0.0064536078032506952, 0.0064463817391595436, 0.0064403825273697422, 0.006435343078891295, 0.006431065528605469, 0.0064274007618717738, 0.0064242346759031442, 0.0064214787582771386, 0.006419063499051433, 0.00641693370272355, 0.0064150450987056637, 0.0064133618549579155, 0.0064118547298971764, 0.0064104996820302735, 0.0064092768122839937, 0.0064081695511853309, 0.006407164028335975, 0.0064062485790786832, 0.0064054133554608565, 0.0064046500172469144, 0.0064039514849269594, 0.0064033117411580256, 0.0064027256703601976, 0.0064021889286191135, 0.0064016978378588609, 0.0064012492996141221, 0.0064008407247670698, 0.006400469976408852, 0.0064001353235995026, 0.0063993359931393571, 0.0063988318027646063, 0.0063986271676015035, 0.0063987498120238054, 0.006399253371776009, 0.0064002234659947151, 0.0064017882383577166, 0.006404135337640237, 0.0064075388125894427, 0.0064124019366357671, 0.0064193264795786844, 0.0064292272021900417, 0.0064435259764669024, 0.0064644903977016596, 0.0064958428763894158, 0.0065438920120582701, 0.0066197014196878821, 0.0067433594070620655, 0.0069524798815662333, 0.0073186036794462691, 0.0079739767902295665, 0.009126495694111449, 0.010920462583037091, 0.012832500531054194, 0.013263076037613746, 0.011586863418396869, 0.0094201715596192136, 0.0079703350344599491, 0.0072175188580651624, 0.0068534704074730279, 0.0066754617664876005, 0.0065845057227341105, 0.0065353788389970902, 0.0065072521640267686, 0.0064901954898879434, 0.006479267264151543, 0.0064718973505690528, 0.0064666904068872459, 0.0064628572835627217, 0.0064599339659051824, 0.0064576372577064738, 0.0064557879760712552, 0.0064542686891591664, 0.0064529997297130097, 0.0064519251839161226, 0.0064510044851295656, 0.0064502072430743171, 0.0064495099884421736, 0.0064488940786501985, 0.0064483443233548784, 0.0064478480655911349, 0.0064473945570745431, 0.006446974526938579, 0.0064465798798213391, 0.0064462034817444405, 0.0064458390063311596, 0.0064454808229003372, 0.0064451239138049021, 0.0064447638122377233, 0.0064443965543220837, 0.0064440186410861565, 0.0064436270071692309, 0.0064432189940004892, 0.0064427923258418476, 0.0064423450875689663, 0.0064418757034267089, 0.0064413829162692478, 0.0064408657670021524, 0.0064403235740987967, 0.0064397559131772267, 0.0064391625967039927, 0.0064385436539445302, 0.0064378993113107874, 0.006437229973270126, 0.0064365362039788144, 0.0064358187097923727, 0.0064350783227858912, 0.0064343159853936516, 0.0064335327362502696, 0.0064327296972875895, 0.0064319080621137838, 0.0064310690856749205, 0.0064302140751751544, 0.0064293443822106807, 0.006428461396054427, 0.0064275665380137351, 0.0064266612567716302, 0.0064257470246137536, 0.0064248253344371892, 0.0064238976974341586, 0.0064229656413424758, 0.006422030709155346, 0.0064210944581854935, 0.0064201584593821083, 0.0064192242968038006, 0.0064182935671561366, 0.006417367879308385, 0.0064164488537107938, 0.0064155381216405277, 0.0064146373242118925, 0.0064137481110938819, 0.0064128721388860849, 0.0064120110691119293, 0.006411166565796606, 0.0064103402926055444, 0.0064095339095279506, 0.0064087490690988916, 0.0064079874121624244, 0.0064072505631874452, 0.0064065401251570371, 0.0064058576740613042, 0.0064052047530325099, 0.006404582866170073, 0.0064039934721109824, 0.0064034379774089633, 0.0064029177297922381, 0.0064024340113757331, 0.006401988031908043, 0.0064015809221369593, 0.0064012137273792161, 0.0064008874013804168, 0.006400602800549853, 0.0064003606786519271, 0.0064001616820312177, 0.0064000063454417826, 0.0063998950885436222, 0.0063998282131197057, 0.0063998059010565364, 0.0063998207765466036, 0.0063998653718597177, 0.0063999395936328914, 0.0064000432866206875, 0.0064001762342300508, 0.0064003381592601391, 0.0064005287248383664, 0.0064007475355415226, 0.0064009941386887342, 0.0064012680257909101, 0.0064015686341396, 0.0064018953485165085, 0.0064022475030036004, 0.0064026243828725479, 0.0064030252265314157, 0.0064034492275058651, 0.0064038955364318631, 0.0064043632630367033, 0.0064048514780855317, 0.0064053592152709046, 0.0064058854730237201, 0.00640642921622503, 0.0064069893777993457, 0.0064075648601718705, 0.0064081545365738289, 0.0064087572521823351, 0.0064093718250836417, 0.0064099970470514762, 0.0064106316841351599, 0.0064112744770557775, 0.0064119241414123127, 0.0064125793677039513, 0.0064132388211793337, 0.0064139011415283729, 0.0064145649424378979, 0.0064152288110381241, 0.0064158913072733335, 0.0064165509632369538, 0.0064172062825183672, 0.0064178557396164827, 0.0064184977794827947, 0.0064191308172648958, 0.0064197532383293687, 0.0064203633986508598, 0.0064209596256616878, 0.006421540219662911, 0.0064221034559032875, 0.0064226475874364832, 0.0064231708488684831, 0.0064236714611061998, 0.0064241476372137261, 0.0064245975894741507, 0.0064250195377416556, 0.0064254117191498965, 0.0064257723992181704, 0.006426099884366176, 0.0064263925358107521, 0.0064266487847746499, 0.0064268671488878987, 0.0064270462496081298, 0.0064271848304284758, 0.0064272817755823171, 0.0064273361288958051, 0.0064273471123843118, 0.0064273141441414834, 0.0064272368550324886, 0.0064271151036802282, 0.006426948989227777, 0.0064267388613751114, 0.0064264853272251897, 0.0064261892545345164, 0.0064258517710460922, 0.0064254742596861177, 0.0064250583495266073, 0.0064246059025490796, 0.0064241189963838655, 0.0064235999033379794, 0.0064230510661549053, 0.0064224750710646311, 0.0064218746187752022, 0.0064212524941234164, 0.006420611535137349, 0.0064199546022669762, 0.0064192845485105182, 0.0064186041911066249, 0.0064179162853799784, 0.0064172235012258357, 0.006416528402604359, 0.0064158334302942188, 0.0064151408880342908, 0.006414452932067655, 0.0064137715639984577, 0.0064130986267834913, 0.006412435803608698, 0.0064117846193472482, 0.0064111464442605142, 0.0064105224995849308, 0.0064099138646445085, 0.0064093214851386948, 0.0064087461822752885, 0.0064081886624460811, 0.0064076495271759657, 0.0064071292831123401, 0.0064066283518586882, 0.0064061470794927154, 0.0064056857456440547, 0.0064052445720385008, 0.0064048237304443556, 0.0064044233499815214, 0.0064040435237753329, 0.0064036843149548085, 0.0064033457620093501, 0.0064030278835290463, 0.0064027306823621552, 0.0064024541492291162, 0.0064021982658364106, 0.0064019630075353605, 0.006401748345571669, 0.0064015542489707653, 0.006401380686102397, 0.0064012276259655249, 0.0064010950392317748, 0.0064009828990821095, 0.0064008911818679969, 0.0064008198676242436, 0.0064007689404566911, 0.0064007383888239457, 0.0064007282057279248], [0.0063149109425390797, 0.0063149313015116145, 0.0063149923518618306, 0.0063150940141182086, 0.0063152361565953167, 0.0063154185965385093, 0.0063156411017147767, 0.0063159033924382289, 0.0063162051440158436, 0.0063165459895963508, 0.006316925523402921, 0.006317343304328215, 0.0063177988598687824, 0.0063182916903746699, 0.0063188212735893114, 0.0063193870694544761, 0.0063199885251553119, 0.0063206250803811504, 0.0063212961727788734, 0.0063220012435773196, 0.0063227397433632459, 0.0063235111379919733, 0.0063243149146188374, 0.0063251505878410465, 0.0063260177059435421, 0.006326915857246848, 0.0063278446765598489, 0.0063288038517459507, 0.0063297931304170541, 0.0063308123267767661, 0.0063318613286414849, 0.0063329401046769169, 0.0063340487118969, 0.006335187303482614, 0.0063363561369930103, 0.0063375555830521109, 0.0063387861346164819, 0.0063400484169469267, 0.0063413431984336152, 0.0063426714024539662, 0.0063440341204795674, 0.0063454326266934608, 0.0063468683944346016, 0.0063483431148551282, 0.0063498587182612655, 0.0063514173987151649, 0.0063530216426079698, 0.0063546742620812892, 0.0063563784343842042, 0.0063581377485177571, 0.0063599562608536667, 0.0063618385618388488, 0.0063637898564376082, 0.0063658160616527661, 0.0063679239253504397, 0.0063701211717492887, 0.0063724166804037382, 0.0063748207074201691, 0.0063773451601434874, 0.0063800039398459272, 0.0063828133713315829, 0.0063857927442556479, 0.0063889649989499102, 0.0063923576005329953, 0.0063960036603867253, 0.0063999433856989198, 0.0064042259687768464, 0.0064089120730102247, 0.0064140771392952297, 0.0064198158376658331, 0.0064262481439727502, 0.006433527764609967, 0.0064418540219422261, 0.0064514889526476127, 0.0064627824492241859, 0.0064762101468814545, 0.0064924321194566358, 0.0065123867181225261, 0.0065374461033295868, 0.0065696850525415263, 0.0066123690271274243, 0.0066708942540015768, 0.0067547339633946407, 0.0068818489663884019, 0.007089923166698776, 0.0074698838261488577, 0.0082914100410793785, 0.010676379429629575, 0.023548496325681487, 0.0599899958810447, 0.013324850143665213, 0.0084520418271238282, 0.0072764179929020751, 0.0068372390433241786, 0.0066314091570000289, 0.0065206638971057086, 0.0064552891088218789, 0.0064140449633311187, 0.0063866937007138165, 0.0063678396135352956, 0.0063544361243222927, 0.0063446661464923873, 0.0063373964152965197, 0.0063318934327712788, 0.0063276673413724862, 0.006324382107437623, 0.0063218018054860105, 0.00631975739955955, 0.0063181255926559564, 0.0063168150106324757, 0.0063157569701381422, 0.0063148991836302175, 0.0063142013885290858, 0.0063136322623792117, 0.0063131672132285474, 0.0063127867755686405, 0.0063124754316501329, 0.0063122207358108934, 0.0063120126574863081, 0.0063118430839962467, 0.0063117054414586413, 0.0063115944040576192, 0.0063115056701816934, 0.0063114357898065888, 0.0063113820316953095, 0.0063113422820389444, 0.0063113149684153646, 0.0063112990046414507, 0.0063112937534082264, 0.0063112945865676992, 0.006311297097271627, 0.0063113013193620855, 0.0063113073097981007, 0.0063113151495021065, 0.0063113249445716363, 0.0063113368278839635, 0.0063113509611308618, 0.0063113675373314016, 0.0063113867838830873, 0.0063114089662261764, 0.0063114343922132804, 0.0063114634172970439, 0.0063114964506737351, 0.0063115339625511892, 0.0063115764927469762, 0.0063116246608689898, 0.0063116791783882778, 0.0063117408629856766, 0.006311810655644217, 0.0063118896410732199, 0.0063119790721949511, 0.006312080399609705, 0.0063121953071932045, 0.0063123257552878701, 0.0063124740333502455, 0.0063126428244421754, 0.0063128352846469563, 0.0063130551414147945, 0.0063133068160800467, 0.0063135955774680074, 0.006313927735796249, 0.006314310889228643, 0.0063147542398319717, 0.0063152690018696998, 0.0063158689341801817, 0.0063165710411037289, 0.0063173965050259077, 0.0063183719412199107, 0.0063195311073220078, 0.0063209172636895282, 0.0063225864808363957, 0.0063246123496834891, 0.0063270928108773517, 0.0063301602556178711, 0.0063339968013631691, 0.0063388579794052833, 0.0063451105241843888, 0.0063532946484476452, 0.0063642305898554781, 0.0063792090601521951, 0.0064003497796553052, 0.0064313198851545534, 0.0064788879442774974, 0.0065566252325272179, 0.0066948944878432145, 0.0069727667277129108, 0.0076477266315719099, 0.0099085464288954372, 0.021372183084526781, 0.018465072629116383, 0.0096733103987890392, 0.0077682151932710461, 0.007126953957922723, 0.0068388944971690879, 0.0066850560970290566, 0.0065930542854702187, 0.0065334902966179649, 0.0064926036909648734, 0.0064632517827243538, 0.006441423244910453, 0.0064247213614555031, 0.0064116407047971526, 0.006401195915595681, 0.0063927193907124613, 0.0063857453599956478, 0.006379940583594184, 0.0063750613838457412, 0.0063709261495019922, 0.0063673972470861193, 0.0063643688264868456, 0.0063617584194869837, 0.0063595010377822669, 0.0063575449536640936, 0.0063558486354995105, 0.0063543784896807646, 0.0063531071747737937, 0.006352012327528956, 0.0063510755892304703, 0.0063502818536323984, 0.0063496186800673007, 0.0063490758307511476, 0.0063486449021076521, 0.0063483190275717563, 0.0063480926347804466, 0.0063479612439744501, 0.0063479212972626297, 0.0063479700104508647, 0.0063481052406274413, 0.0063483253637849667, 0.0063486291575638289, 0.0063490156848180846, 0.0063494841742105399, 0.0063500338945120301, 0.0063506640197796334, 0.0063513734831905245, 0.0063521608180839156, 0.0063530239857847136, 0.0063539601911160168, 0.0063549656882056641, 0.0063560355812811407, 0.0063571636276079499, 0.0063583420524753491, 0.0063595613889984009, 0.0063608103582097073, 0.0063620758070685544, 0.0063633427231281512, 0.0063645943441213351, 0.0063658123781125389, 0.0063669773447043373, 0.0063680690399236127, 0.0063690671170852893, 0.0063699517638770723, 0.0063707044433844572, 0.0063713086554659151, 0.0063717506666783269, 0.0063720201535861463, 0.0063721107069768237, 0.0063720201535861446, 0.0063717506666783313, 0.0063713086554659168, 0.0063707044433844555, 0.0063699517638770731, 0.0063690671170852919, 0.0063680690399236135, 0.0063669773447043373, 0.0063658123781125363, 0.0063645943441213342, 0.0063633427231281521, 0.0063620758070685509, 0.0063608103582097073, 0.0063595613889984018, 0.0063583420524753508, 0.0063571636276079481, 0.0063560355812811399, 0.0063549656882056632, 0.0063539601911160159, 0.0063530239857847127, 0.0063521608180839148, 0.0063513734831905236, 0.0063506640197796326, 0.0063500338945120301, 0.0063494841742105399, 0.0063490156848180863, 0.0063486291575638298, 0.006348325363784965, 0.0063481052406274404, 0.0063479700104508647, 0.0063479212972626297, 0.0063479612439744518, 0.0063480926347804466, 0.0063483190275717563, 0.0063486449021076521, 0.0063490758307511441, 0.0063496186800672989, 0.0063502818536323967, 0.0063510755892304729, 0.006352012327528956, 0.0063531071747737972, 0.0063543784896807655, 0.0063558486354995131, 0.0063575449536640936, 0.0063595010377822643, 0.006361758419486982, 0.006364368826486843, 0.0063673972470861201, 0.0063709261495019853, 0.0063750613838457386, 0.006379940583594184, 0.0063857453599956314, 0.0063927193907124509, 0.0064011959155956706, 0.0064116407047971301, 0.0064247213614554953, 0.0064414232449104356, 0.0064632517827243278, 0.0064926036909648283, 0.0065334902966179146, 0.0065930542854701121, 0.006685056097029054, 0.0068388944971686941, 0.0071269539579224238, 0.007768215193271491, 0.0096733103987895076, 0.018465072629109708, 0.021372183084503289, 0.0099085464288953748, 0.007647726631570529, 0.0069727667277123262, 0.0066948944878431728, 0.0065566252325272327, 0.006478887944277454, 0.0064313198851545699, 0.0064003497796553035, 0.0063792090601521752, 0.0063642305898554772, 0.0063532946484476461, 0.0063451105241843922, 0.0063388579794052798, 0.0063339968013631735, 0.006330160255617872, 0.0063270928108773525, 0.0063246123496834908, 0.0063225864808363957, 0.0063209172636895291, 0.0063195311073220052, 0.0063183719412199099, 0.0063173965050259094, 0.0063165710411037307, 0.0063158689341801825, 0.0063152690018696989, 0.0063147542398319708, 0.006314310889228643, 0.006313927735796249, 0.0063135955774680074, 0.0063133068160800459, 0.0063130551414147928, 0.0063128352846469555, 0.0063126428244421771, 0.0063124740333502481, 0.0063123257552878701, 0.0063121953071932036, 0.0063120803996097024, 0.0063119790721949502, 0.0063118896410732199, 0.0063118106556442162, 0.0063117408629856748, 0.0063116791783882787, 0.0063116246608689898, 0.0063115764927469771, 0.0063115339625511909, 0.0063114964506737342, 0.0063114634172970457, 0.0063114343922132821, 0.0063114089662261764, 0.0063113867838830865, 0.0063113675373314033, 0.0063113509611308618, 0.0063113368278839635, 0.0063113249445716354, 0.0063113151495021056, 0.006311307309798099, 0.0063113013193620863, 0.006311297097271627, 0.0063112945865676992, 0.0063112937534082246, 0.0063112941697409984, 0.0063112954213795976, 0.0063112975162606952, 0.0063113004676649924, 0.0063113042942971051, 0.0063113090203985788, 0.0063113146758950692, 0.0063113212965792472, 0.0063113289243312606, 0.0063113376073790153, 0.0063113474006010317, 0.0063113583658749844, 0.0063113705724757415, 0.0063113840975271744, 0.0063113990265127292, 0.0063114154538505413, 0.0063114334835396579, 0.0063114532298849278, 0.0063114748183092919, 0.0063114983862633247, 0.0063115240842435312, 0.006311552076932409, 0.0063115825444753316, 0.0063116156839115494, 0.0063116517107792034, 0.0063116908609173053, 0.0063117333924912703, 0.0063117795882727049, 0.0063118297582091202, 0.0063118842423250708, 0.0063119434140030796, 0.0063120076837008283, 0.0063120775031708393, 0.0063121533702604456, 0.0063122358343835928, 0.0063123255027728196, 0.0063124230476396363, 0.0063125292143957987, 0.006312644831117464, 0.0063127708194698944, 0.0063129082073542682, 0.0063130581435919784, 0.006313221915028068, 0.0063134009665177602, 0.0063135969243622624, 0.0063138116238880305, 0.0063140471420245359, 0.0063143058359387732, 0.0063145903890430974, 0.006314903866023079, 0.0063152497789566589, 0.0063156321671454302, 0.0063160556939949502, 0.0063165257652210271, 0.0063170486739018853, 0.0063176317795531249, 0.0063182837306302092, 0.0063190147428849753, 0.0063198369501413759, 0.006320764849781369, 0.0063218158732400104, 0.0063230111231397578, 0.0063243763349274534, 0.0063259431444472767, 0.0063277507776027531, 0.0063298483302077508, 0.0063322978851745202, 0.0063351788367092612, 0.0063385939849502828, 0.0063426782777517791, 0.006347611595257833, 0.0063536378560348095, 0.0063610942721959093, 0.0063704573896469297, 0.0063824178406765679, 0.00639800614381578, 0.0064188133994928873, 0.0064473978351151182, 0.0064880784995850326, 0.0065485975191011611, 0.0066439157259143783, 0.0068058730199080904, 0.0071114278954022662, 0.0077810156520717166, 0.0095880326707408897, 0.014889701206227483, 0.015571949298315102, 0.0099639620149072905, 0.0079527529975279374, 0.0072117966341795165, 0.0068747745206953949, 0.0066959426560113744, 0.0065902610328506459, 0.0065227492489380668, 0.0064770220155261479, 0.0064446102901564977, 0.0064207888013754853, 0.0064027555512342601, 0.0063887645946664176, 0.0063776824101341775, 0.0063687471949420973, 0.0063614316454374317, 0.0063553613703712271, 0.0063502645924156161, 0.0063459401459570073, 0.006342236544517486, 0.0063390379494082773, 0.0063362545569108954, 0.0063338158825004551, 0.0063316659855745345, 0.0063297600193347918, 0.0063280617016271135, 0.0063265414361693348, 0.0063251748998832021, 0.0063239419688104013, 0.0063228258930739774, 0.0063218126571636182, 0.0063208904796277984, 0.0063200494187019797, 0.0063192810592118771, 0.006318578262400682, 0.0063179349648983, 0.006317346016394049, 0.0063168070480445785, 0.0063163143654916482, 0.0063158648617512303, 0.0063154559462886752, 0.0063150854874013422, 0.0063141895013816224, 0.0063135988217582362, 0.0063133112729863985, 0.0063133484137038454, 0.006313757218433266, 0.006314615146495792, 0.0063160393584929418, 0.0063182017162179763, 0.0063213524895343026, 0.006325857798077178, 0.0063322594457207171, 0.00634137228377231, 0.0063544461066284245, 0.0063734413132775563, 0.0064015099323353102, 0.006443854964722902, 0.0065092950893550642, 0.0066131344593571562, 0.0067823125111372111, 0.0070637612207156931, 0.0075334095098657117, 0.0082848907943709957, 0.0093246345990992893, 0.01030084171872084, 0.010467784657665992, 0.0095897317806754694, 0.0083894865545050684, 0.0074944104885480371, 0.0069775268517388144, 0.0067054377493793536, 0.0065637437961075761, 0.0064878980219917025, 0.0064454616049733696, 0.006420476891543265, 0.0064049708895033263, 0.0063948372976466456, 0.0063878841922719986, 0.0063828971373461659, 0.0063791778557128025, 0.0063763099666827618, 0.0063740361605764961, 0.0063721917418408614, 0.0063706675689956405, 0.0063693887870824393, 0.006368302288082388, 0.0063673691263972376, 0.006366559819887708, 0.0063658513722477288, 0.00636522534592721, 0.0063646665902623483, 0.0063641623867319499, 0.0063637018649679352, 0.0063632755977160475, 0.0063628753160377268, 0.0063624937064878737, 0.0063621242648600647, 0.0063617611893204374, 0.0063613993011151521, 0.0063610339845971177, 0.006360661140728004, 0.0063602771498765453, 0.0063598788409087153, 0.0063594634644115145, 0.0063590286685133958, 0.0063585724762288375, 0.0063580932636053281, 0.0063575897382182655, 0.0063570609177618148, 0.0063565061086360477, 0.0063559248845421563, 0.0063553170651757408, 0.0063546826951594269, 0.0063540220233847039, 0.0063533354829440544, 0.006352623671831043, 0.0063518873345723885, 0.0063511273449344194, 0.006350344689819749, 0.0063495404544406907, 0.0063487158088256206, 0.0063478719956848312, 0.0063470103196344328, 0.0063461321377514951, 0.0063452388514113134, 0.0063443318993387779, 0.0063434127517904577, 0.0063424829057719366, 0.0063415438811862878, 0.0063405972178036604, 0.0063396444729387873, 0.0063386872197224043, 0.0063377270458535176, 0.0063367655527221782, 0.0063358043547963542, 0.0063348450791715681, 0.0063338893651877443, 0.0063329388640241992, 0.0063319952381907605, 0.0063310601608402512, 0.0063301353148353503, 0.0063292223915107151, 0.0063283230890795131, 0.0063274391106417959, 0.0063265721617608945, 0.0063257239475827624, 0.0063248961694822251, 0.0063240905212293471, 0.0063233086846784508, 0.0063225523249917813, 0.0063218230854192713, 0.006321122581665381, 0.0063204523958830076, 0.0063198140703436302, 0.0063192091008410891, 0.0063186389298943765, 0.0063181049398216456, 0.0063176084457638284, 0.0063171506887408496, 0.0063167328288271747, 0.0063163559385351065, 0.0063160209964949155, 0.0063157288815193164, 0.0063154803671368488, 0.0063152761166739057, 0.0063151166789584337, 0.0063150024847104264, 0.0063149338436745165, 0.0063149109425390797, 0.0063149262107633861, 0.0063149719834413968, 0.006315048164699846, 0.0063151545951200183, 0.0063152910522882169, 0.0063154572515571718, 0.0063156528470093105, 0.0063158774326103635, 0.0063161305435396314, 0.0063164116576810113, 0.0063167201972571616, 0.006317055530587359, 0.0063174169739483527, 0.006317803793516188, 0.0063182152073662061, 0.0063186503875076643, 0.0063191084619292053, 0.0063195885166312396, 0.0063200895976215556, 0.0063206107128510221, 0.0063211508340669459, 0.0063217088985628687, 0.0063222838108048084, 0.0063228744439157341, 0.0063234796410019389, 0.0063240982163072666, 0.0063247289561836452, 0.0063253706198694139, 0.0063260219400698755, 0.0063266816233383694, 0.0063273483502598298, 0.0063280207754433087, 0.0063286975273346129, 0.006329377207865354, 0.006330058391960428, 0.006330739626932049, 0.0063314194317950177, 0.0063320962965450148, 0.0063327686814492338, 0.0063334350164065429, 0.0063340937004425935, 0.0063347431014138082, 0.0063353815560024482, 0.0063360073700933989, 0.0063366188196310224, 0.0063372141520614709, 0.0063377915884716106, 0.0063383493265397467, 0.0063388855444152809, 0.0063393984056431523, 0.0063398860652444629, 0.0063403466770556305, 0.006340778402414619, 0.0063411794202632692, 0.0063415479387090275, 0.0063418822080571671, 0.0063421805352854872, 0.006342441299887867, 0.0063426629709612669, 0.0063428441253538994, 0.0063429834666317332, 0.0063430798445583527, 0.0063431322747220485, 0.0063431399578867944, 0.0063431022985942186, 0.0063430189225050148, 0.0063428896919449354, 0.0063427147191151192, 0.0063424943764427638, 0.0063422293035875574, 0.0063419204106831889, 0.0063415688774805419, 0.006341176148168523, 0.0063407439217754592, 0.0063402741381938478, 0.0063397689600172818, 0.006339230750523242, 0.0063386620482714529, 0.0063380655389069576, 0.0063374440248533271, 0.006336800393649181, 0.0063361375857163673, 0.0063354585623499647, 0.0063347662746885691, 0.0063340636343613256, 0.0063333534864204611, 0.0063326385850600436, 0.0063319215725008409, 0.0063312049612939715, 0.006330491120169617, 0.0063297822634376848, 0.0063290804438395623, 0.0063283875486582781, 0.0063277052988206023, 0.0063270352506698338, 0.0063263788000523817, 0.0063257371883432625, 0.0063251115100334187, 0.0063245027215130803, 0.0063239116507072422, 0.0063233390072491473, 0.0063227853929127614, 0.0063222513120632824, 0.0063217371819236584, 0.0063212433424932914, 0.0063207700659912297, 0.0063203175657295394, 0.0063198860043521335, 0.0063194755014004409, 0.0063190861401892368, 0.0063187179739943467, 0.006318371031568527, 0.0063180453220133062, 0.006317740839043089, 0.0063174575646836994, 0.0063171954724514116, 0.0063169545300602922, 0.0063167347017062279, 0.0063165359499750898, 0.0063163582374207525, 0.0063162015278560675, 0.0063160657873968596, 0.0063159509852953192, 0.0063158570945954359, 0.0063157840926389335, 0.0063157319614459287, 0.0063157006879903084, 0.0063156902643852885], [0.0062633079482407594, 0.0062633290318595452, 0.0062633922552561413, 0.0062634975362918996, 0.0062636447388693438, 0.0062638336741264169, 0.0062640641020961767, 0.0062643357338200405, 0.0062646482338995328, 0.0062650012234688173, 0.0062653942835678728, 0.0062658269588940592, 0.0062662987619081685, 0.0062668091772700094, 0.0062673576665776033, 0.0062679436733840289, 0.0062685666284660723, 0.0062692259553197112, 0.006269921075858562, 0.006270651416293422, 0.0062714164131730402, 0.0062722155195692672, 0.0062730482113928241, 0.0062739139938297805, 0.0062748124078931102, 0.006275743037088396, 0.0062767055141982643, 0.0062776995281959066, 0.0062787248313047953, 0.0062797812462290622, 0.0062808686735871628, 0.0062819870995910361, 0.0062831366040233079, 0.0062843173685774613, 0.0062855296856399075, 0.0062867739676094681, 0.0062880507568691697, 0.0062893607365485018, 0.0062907047422422055, 0.0062920837748852744, 0.006293499015025004, 0.0062949518387813014, 0.0062964438358484266, 0.0062979768299681787, 0.0062995529023999646, 0.0063011744190322131, 0.0063028440619286794, 0.0063045648662901597, 0.0063063402640478388, 0.0063081741356020137, 0.0063100708715967428, 0.0063120354470999297, 0.0063140735111686186, 0.0063161914955601767, 0.0063183967473529421, 0.0063206976915341781, 0.006323104031291717, 0.0063256269959366647, 0.0063282796492633037, 0.0063310772749658635, 0.0063340378608292662, 0.0063371827102938101, 0.0063405372193937352, 0.0063441318700667472, 0.0063480035090458355, 0.0063521970074410733, 0.0063567674335055536, 0.006361782925936278, 0.0063673285369428203, 0.0063735114387782517, 0.006380468080319948, 0.0063883741855626638, 0.0063974589801729185, 0.0064080258529634112, 0.006420483060497517, 0.0064353905520849386, 0.0064535334997176345, 0.0064760416849082274, 0.0065045909534465884, 0.0065417587988181461, 0.0065916864079949471, 0.0066613934004334519, 0.0067636051624156875, 0.0069234799929275628, 0.0071968951270197047, 0.0077302236798480932, 0.0090177784433715137, 0.013666747047607645, 0.052587133222952609, 0.025842827192414989, 0.0101434393537373, 0.0077278122384491499, 0.0069897020699728318, 0.0066797781061926449, 0.0065241737716947926, 0.0064365875659869853, 0.0063832191340700032, 0.0063487545695883, 0.0063254892126744849, 0.0063092275231334261, 0.0062975388426650975, 0.0062889430268722136, 0.0062825010380925346, 0.0062775963348308764, 0.0062738121406761488, 0.0062708595606350715, 0.0062685339239986594, 0.0062666874241170028, 0.0062652114941192608, 0.0062640251758026471, 0.0062630672767653188, 0.006262290979242015, 0.0062616600695883096, 0.0062611462597175083, 0.0062607272571335009, 0.0062603853563586139, 0.0062601063988352145, 0.0062598789967643273, 0.0062596939483999048, 0.006259543793889529, 0.0062594224754827397, 0.0062593250761258726, 0.0062592476176149599, 0.0062591869045601715, 0.0062591404040733597, 0.0062591061537606643, 0.0062590826925830846, 0.0062590690106469104, 0.0062590645151500909, 0.006259065213167078, 0.0062590673174952472, 0.0062590708591167537, 0.0062590758901735731, 0.0062590824847368366, 0.0062590907399076925, 0.0062591007772745382, 0.0062591127447597606, 0.0062591268188987338, 0.0062591432076048665, 0.0062591621534872251, 0.00625918393780264, 0.0062592088851423019, 0.0062592373689749122, 0.0062592698181952854, 0.0062593067248598571, 0.0062593486533311076, 0.0062593962511027171, 0.0062594502616395804, 0.0062595115396446637, 0.0062595810692627849, 0.0062596599858555802, 0.0062597496021398929, 0.0062598514396843188, 0.0062599672670191871, 0.0062600991459534662, 0.0062602494881329558, 0.0062604211244541227, 0.006260617390715267, 0.0062608422339108924, 0.0062611003449529103, 0.0062613973254717903, 0.0062617398989117147, 0.0062621361796758607, 0.006262596019029531, 0.0062631314534684892, 0.006263757291275136, 0.006264491887501133, 0.0062653581789505492, 0.0062663850825711671, 0.0062676094089411756, 0.0062690785170713276, 0.0062708540540569709, 0.006273017311730582, 0.0062756770428991221, 0.0062789811040802534, 0.0062831342031555151, 0.0062884256669304955, 0.0062952741910123813, 0.0063043024490165005, 0.0063164664769055981, 0.0063332906441912465, 0.0063573184664118283, 0.0063930369752192382, 0.0064489344514753934, 0.0065425849645843297, 0.0067150581349184708, 0.0070802215821867583, 0.0080464883514675088, 0.011804284536281984, 0.027755197844869253, 0.014101032628420067, 0.0087852391638989311, 0.0074686210056385755, 0.0069744592743933046, 0.0067377902540256673, 0.0066060933833687312, 0.0065250616290104492, 0.0064714978975527566, 0.006434143127637632, 0.0064069907863403223, 0.0063865946347329656, 0.0063708598728268988, 0.0063584519939302257, 0.0063484871332441083, 0.0063403604189226732, 0.0063336461968101394, 0.0063280376437385797, 0.0063233089263909758, 0.0063192907594527394, 0.006315854193070636, 0.0063128996027831587, 0.0063103490539698597, 0.0063081409059739212, 0.0063062259336926921, 0.0063045644966516681, 0.0063031244434501397, 0.0063018795404340931, 0.0063008082793014966, 0.0062998929620635196, 0.0062991189912854854, 0.0062984743137334299, 0.0062979489795717972, 0.0062975347891036822, 0.0062972250060316821, 0.0062970141212197062, 0.0062968976545443589, 0.006296871985043557, 0.0062969342014830253, 0.0062970819668697383, 0.006297313391494145, 0.0062976269098940123, 0.0062980211577937954, 0.0062984948456642799, 0.0062990466261394588, 0.0062996749531907432, 0.0063003779317590287, 0.0063011531575463591, 0.0063019975479270737, 0.0063029071664933651, 0.0063038770456172212, 0.0063049010135627628, 0.0063059715350356257, 0.006307079576451549, 0.0063082145093975679, 0.0063093640674119966, 0.0063105143719103763, 0.006311650042383531, 0.0063127544034646725, 0.0063138097967972186, 0.0063147979987510979, 0.0063157007361827671, 0.0063165002822685836, 0.0063171801040315945, 0.006317725523924839, 0.0063181243512634459, 0.0063183674368070888, 0.0063184491063299599, 0.0063183674368070871, 0.0063181243512634502, 0.006317725523924839, 0.0063171801040315927, 0.0063165002822685836, 0.0063157007361827689, 0.006314797998751097, 0.0063138097967972203, 0.0063127544034646725, 0.0063116500423835318, 0.0063105143719103781, 0.0063093640674119949, 0.0063082145093975688, 0.0063070795764515516, 0.0063059715350356283, 0.0063049010135627611, 0.0063038770456172212, 0.0063029071664933599, 0.0063019975479270763, 0.0063011531575463591, 0.0063003779317590261, 0.0062996749531907424, 0.0062990466261394588, 0.0062984948456642808, 0.0062980211577937954, 0.006297626909894014, 0.0062973133914941458, 0.0062970819668697374, 0.0062969342014830244, 0.0062968719850435553, 0.0062968976545443589, 0.0062970141212197054, 0.0062972250060316821, 0.0062975347891036822, 0.0062979489795717972, 0.0062984743137334256, 0.0062991189912854836, 0.0062998929620635196, 0.0063008082793015001, 0.0063018795404340931, 0.0063031244434501397, 0.0063045644966516672, 0.006306225933692693, 0.0063081409059739212, 0.0063103490539698562, 0.006312899602783157, 0.0063158541930706351, 0.006319290759452742, 0.0063233089263909689, 0.0063280376437385771, 0.006333646196810142, 0.0063403604189226533, 0.0063484871332440971, 0.0063584519939302092, 0.0063708598728268737, 0.0063865946347329569, 0.0064069907863403041, 0.0064341431276376008, 0.0064714978975526968, 0.0065250616290103798, 0.0066060933833685829, 0.0067377902540256577, 0.0069744592743926628, 0.0074686210056379761, 0.0087852391638999737, 0.014101032628421366, 0.027755197844873611, 0.011804284536273323, 0.0080464883514674151, 0.0070802215821860765, 0.0067150581349181464, 0.006542584964584301, 0.0064489344514753986, 0.0063930369752192079, 0.006357318466411843, 0.0063332906441912473, 0.0063164664769055825, 0.0063043024490164997, 0.0062952741910123813, 0.0062884256669304989, 0.0062831342031555125, 0.0062789811040802586, 0.0062756770428991204, 0.0062730173117305828, 0.0062708540540569718, 0.0062690785170713258, 0.0062676094089411747, 0.0062663850825711662, 0.0062653581789505466, 0.006264491887501133, 0.0062637572912751351, 0.006263131453468491, 0.0062625960190295293, 0.0062621361796758616, 0.0062617398989117147, 0.0062613973254717903, 0.0062611003449529086, 0.0062608422339108932, 0.0062606173907152653, 0.0062604211244541245, 0.0062602494881329566, 0.0062600991459534653, 0.0062599672670191871, 0.0062598514396843162, 0.0062597496021398929, 0.0062596599858555776, 0.0062595810692627858, 0.0062595115396446629, 0.0062594502616395813, 0.0062593962511027189, 0.0062593486533311085, 0.0062593067248598562, 0.0062592698181952837, 0.0062592373689749131, 0.0062592088851422993, 0.00625918393780264, 0.0062591621534872251, 0.0062591432076048647, 0.0062591268188987338, 0.0062591127447597615, 0.0062591007772745373, 0.0062590907399076917, 0.0062590824847368349, 0.006259075890173574, 0.0062590708591167528, 0.0062590673174952481, 0.006259065213167078, 0.0062590645151500892, 0.0062590648639342782, 0.0062590659127256766, 0.0062590676688551354, 0.0062590701445886252, 0.0062590733571996071, 0.0062590773290712902, 0.006259082087829825, 0.0062590876665097597, 0.0062590941037533607, 0.0062591014440458431, 0.0062591097379889023, 0.0062591190426153067, 0.0062591294217479217, 0.0062591409464068971, 0.0062591536952694513, 0.0062591677551872716, 0.0062591832217673352, 0.0062592002000227452, 0.0062592188051012378, 0.0062592391630999283, 0.0062592614119763587, 0.0062592857025671276, 0.0062593121997272221, 0.0062593410836049874, 0.0062593725510700108, 0.006259406817313652, 0.0062594441176452038, 0.0062594847095099916, 0.006259528874760059, 0.0062595769222129156, 0.0062596291905395486, 0.0062596860515298667, 0.0062597479137917007, 0.0062598152269492018, 0.006259888486417938, 0.0062599682388477457, 0.0062600550883409496, 0.0062601497035733684, 0.0062602528259696937, 0.0062603652791139519, 0.0062604879796113438, 0.0062606219496612612, 0.0062607683316546706, 0.0062609284051749125, 0.0062611036068625564, 0.006261295553706441, 0.0062615060704500139, 0.0062617372219615662, 0.0062619913516185812, 0.0062622711270124785, 0.0062625795946073927, 0.0062629202454073003, 0.0062632970942304899, 0.0062637147758997872, 0.0062641786625878132, 0.0062646950077874988, 0.0062652711240182516, 0.0062659156035826469, 0.00626663859467806, 0.0062674521492602454, 0.0062683706647160293, 0.0062694114493154892, 0.0062705954526056668, 0.0062719482179341805, 0.0062735011375488862, 0.0062752931249602344, 0.0062773728704529942, 0.0062798019234944517, 0.0062826589663820317, 0.0062860458340426306, 0.0062900961427322421, 0.0062949878998446651, 0.0063009623331090623, 0.0063083526944257475, 0.0063176295411495349, 0.0063294741657917699, 0.0063449019936244761, 0.0063654787043366488, 0.0063937175715218925, 0.0064338533718001391, 0.0064934586201630734, 0.0065871213146392093, 0.0067457650319165414, 0.0070437498389618906, 0.0076927164044453406, 0.0094321587548332458, 0.014629849801247374, 0.01590769055567947, 0.010078158987138023, 0.00795636531911844, 0.0071835637987508229, 0.0068350041447569673, 0.0066510772764799943, 0.0065427992666531234, 0.0064738178711921893, 0.0064271899418328728, 0.0063941908183856901, 0.006369966685478917, 0.0063516459282334237, 0.0063374425525244337, 0.0063261988155585841, 0.0063171376359181857, 0.0063097217198563446, 0.0063035699386719598, 0.0062984058471226021, 0.0062940249681599659, 0.006290273416601844, 0.0062870335836972173, 0.0062842143377873343, 0.0062817441832691053, 0.0062795663994745475, 0.0062776355306206665, 0.0062759148141062916, 0.0062743742710772024, 0.0062729892713502509, 0.0062717394427458861, 0.0062706078336351506, 0.0062695802638345101, 0.0062686448171287018, 0.0062677914413805831, 0.0062670116311569777, 0.0062662981742216727, 0.0062656449478950202, 0.0062650467546796797, 0.0062644991890634955, 0.0062639985292833019, 0.0062635416492425287, 0.0062631259468452728, 0.0062621065997485823, 0.0062614042680317443, 0.0062610094093947192, 0.0062609369366812967, 0.0062612269243064317, 0.0062619486863798495, 0.0062632087542732846, 0.0062651640892419438, 0.0062680429807040767, 0.0062721778339126224, 0.0062780569874109383, 0.0062864077905858771, 0.0062983321863811902, 0.0063155322289009629, 0.0063406921221718805, 0.0063781350590092637, 0.0064349593811120808, 0.0065229767867338879, 0.0066618204199010173, 0.0068830001909055095, 0.0072313129112871345, 0.0077483641039966349, 0.008402128667611055, 0.0089595985381890984, 0.0090296434255717987, 0.0085110169691846212, 0.0077765697260877287, 0.0071845729674050304, 0.0068140285410369225, 0.0066052930112616391, 0.0064907110847558696, 0.0064268507560531199, 0.0063899722568619274, 0.0063676934901573052, 0.0063535619093836289, 0.0063441491914325455, 0.006337581410453633, 0.0063328007432721743, 0.0063291895719030733, 0.0063263747320499233, 0.0063241228637033828, 0.0063222829138973287, 0.0063207536747376808, 0.0063194649642121844, 0.0063183664346605972, 0.0063174207532406294, 0.0063165993490257493, 0.0063158797018971705, 0.0063152435782429716, 0.0063146758604975791, 0.0063141637567304589, 0.0063136962581560223, 0.0063132637612852522, 0.0063128578012046511, 0.0063124708609334163, 0.0063120962334688923, 0.0063117279206236186, 0.0063113605576614251, 0.0063109893560110812, 0.006310610058562211, 0.0063102189035955415, 0.0063098125944990287, 0.0063093882732197654, 0.0063089434959927304, 0.0063084762103330343, 0.0063079847326175499, 0.006307467725841686, 0.0063069241773352318, 0.0063063533763702507, 0.0063057548917029912, 0.0063051285491678736, 0.0063044744094903722, 0.0063037927465118626, 0.0063030840260278513, 0.0063023488854348246, 0.0063015881143641747, 0.0063008026364570974, 0.0062999934924047908, 0.0062991618243462199, 0.0062983088616827719, 0.0062974359083371612, 0.0062965443314540234, 0.0062956355515124494, 0.0062947110337972147, 0.0062937722811552878, 0.0062928208279482891, 0.0062918582350987746, 0.006290886086119411, 0.0062899059840080271, 0.0062889195488884725, 0.0062879284162765357, 0.0062869342358514053, 0.0062859386706162392, 0.0062849433963357779, 0.0062839501011443281, 0.006282960485223788, 0.0062819762604582685, 0.0062809991499793239, 0.0062800308875235718, 0.0062790732165326343, 0.0062781278889336347, 0.006277196663547144, 0.0062762813040782069, 0.0062753835766551124, 0.0062745052468898502, 0.0062736480764434607, 0.0062728138190892724, 0.0062720042162766072, 0.0062712209922074786, 0.0062704658484486007, 0.0062697404581109019, 0.0062690464596382826, 0.0062683854502566657, 0.0062677589791431988, 0.0062671685403835982, 0.0062666155657928662, 0.0062661014176809858, 0.0062656273816500269, 0.0062651946595129833, 0.0062648043624265052, 0.0062644575043302505, 0.0062641549957840933, 0.0062638976382912905, 0.0062636861191906878, 0.0062635210071940997, 0.006263402748636725, 0.0062633316644982078, 0.0062633079482407594, 0.0062633237599076805, 0.0062633711617389402, 0.0062634500543416998, 0.0062635602724452621, 0.0062637015854723138, 0.0062638736983290193, 0.0062640762524045438, 0.0062643088267679663, 0.0062645709395483442, 0.0062648620494814124, 0.0062651815576044833, 0.0062655288090793966, 0.0062659030951218633, 0.0062663036550143552, 0.0062667296781787297, 0.0062671803062841142, 0.0062676546353652718, 0.0062681517179265095, 0.0062686705650065004, 0.0062692101481799057, 0.0062697694014724132, 0.0062703472231671661, 0.0062709424774816721, 0.0062715539960963157, 0.0062721805795174007, 0.0062728209982601448, 0.0062734739938396025, 0.0062741382795606119, 0.0062748125411010878, 0.0062754954368867914, 0.006276185598259776, 0.0062768816294472042, 0.0062775821073423072, 0.0062782855811145026, 0.0062789905716717637, 0.0062796955710046785, 0.0062803990414485441, 0.0062810994149072883, 0.0062817950920908945, 0.0062824844418263286, 0.0062831658005105999, 0.0062838374717834296, 0.0062844977265059882, 0.0062851448031407062, 0.0062857769086355989, 0.0062863922199237346, 0.0062869888861547549, 0.0062875650317795097, 0.006288118760610961, 0.0062886481609832094, 0.0062891513121257937, 0.0062896262918608744, 0.0062900711857163723, 0.0062904840975275553, 0.0062908631615723699, 0.006291206556251855, 0.0062915125192856509, 0.0062917793643445076, 0.0062920054989869384, 0.0062921894437071926, 0.0062923298518377819, 0.0062924255299842847, 0.0062924754586056175, 0.0062924788122928847, 0.0062924349792477059, 0.0062923435794206414, 0.0062922044807461096, 0.006292017812905071, 0.0062917839780646913, 0.0062915036580864876, 0.0062911778177626547, 0.0062908077037332963, 0.0062903948388532277, 0.0062899410119117575, 0.0062894482627565886, 0.0062889188630273112, 0.0062883552928564542, 0.0062877602140389661, 0.0062871364402961481, 0.0062864869053602078, 0.0062858146296756526, 0.006285122686549089, 0.0062844141685790634, 0.0062836921551624614, 0.006282959681806961, 0.0062822197118851189, 0.0062814751113507506, 0.006280728626810163, 0.0062799828672063388, 0.0062792402892411243, 0.006278503186534899, 0.0062777736824105, 0.0062770537260923194, 0.0062763450920347861, 0.006275649382038043, 0.0062749680297720838, 0.0062743023073129857, 0.0062736533332934455, 0.0062730220822827844, 0.0062724093950352411, 0.0062718159892774681, 0.0062712424707435689, 0.0062706893442063105, 0.0062701570242944442, 0.0062696458459261997, 0.0062691560742272976, 0.0062686879138365379, 0.006268241517533365, 0.0062678169941488733, 0.0062674144157447769, 0.0062670338240638796, 0.006266675236270846, 0.0062663386500139018, 0.0062660240478468162, 0.0062657314010566498, 0.0062654606729465262, 0.0062652118216245008, 0.0062649848023499854, 0.0062647795694881752, 0.0062645960781209228, 0.0062644342853597464, 0.0062642941514033266, 0.006264175640377968, 0.0062640787209954849, 0.0062640033670585543, 0.0062639495578391208, 0.0062639172783508605, 0.0062639065195320993], [0.006327439510827447, 0.0063274616991048941, 0.0063275282350614319, 0.0063276390323238497, 0.006327793947782284, 0.006327992782851957, 0.006328235285226684, 0.0063285211511116338, 0.0063288500279195074, 0.0063292215174114309, 0.0063296351792613992, 0.0063300905350208402, 0.0063305870724581926, 0.0063311242502472123, 0.0063317015029768992, 0.0063323182464557247, 0.0063329738832831727, 0.0063336678086624793, 0.0063343994164297346, 0.0063351681052765847, 0.0063359732851461072, 0.006336814383784581, 0.0063376908534352617, 0.0063386021776644834, 0.0063395478783150171, 0.0063405275225867875, 0.0063415407302509341, 0.0063425871810096936, 0.0063436666220217913, 0.0063447788756211933, 0.0063459238472660783, 0.0063471015337652845, 0.0063483120318411799, 0.0063495555471013571, 0.0063508324035072717, 0.0063521430534463621, 0.0063534880885357612, 0.0063548682513117349, 0.006356284447990153, 0.00635773776252096, 0.0063592294722057399, 0.0063607610652039008, 0.0063623342603226826, 0.0063639510295724153, 0.0063656136240757685, 0.006367324604053733, 0.0063690868737788578, 0.0063709037225972718, 0.0063727788733869105, 0.0063747165401558063, 0.0063767214969109734, 0.006378799160471565, 0.0063809556905939056, 0.0063831981116655358, 0.0063855344613715061, 0.0063879739732191423, 0.0063905273017378326, 0.0063932068016990598, 0.0063960268760383521, 0.0063990044116002407, 0.0064021593277898831, 0.0064055152713077494, 0.0064091005012561738, 0.0064129490243598798, 0.0064171020618301686, 0.0064216099605752912, 0.0064265347067644337, 0.006431953266697538, 0.0064379620806115289, 0.0064446831893285473, 0.0064522727148620005, 0.0064609328015423342, 0.0064709287550289256, 0.0064826141765211174, 0.0064964687237195132, 0.00651315641110836, 0.0065336184556842531, 0.0065592264878749909, 0.0065920460146553922, 0.0066353119750276147, 0.0066943383342396188, 0.0067783852282418096, 0.0069048453922723654, 0.0071097619350718733, 0.0074786198947983454, 0.008258490495545761, 0.010433146101806842, 0.021199497571310292, 0.074370999436702862, 0.01486781104700418, 0.0087532307026715155, 0.0073840750617801751, 0.0068902474975679195, 0.0066635555018164658, 0.0065432946028059448, 0.0064730480325296408, 0.0064291034854376799, 0.0064001686231945996, 0.0063803476625086814, 0.0063663370002548184, 0.0063561788360093048, 0.0063486588655966899, 0.0063429949459975453, 0.0063386669985214389, 0.0063353196632597187, 0.0063327043472310267, 0.006330643532980555, 0.0063290081381151874, 0.006327702776406984, 0.0063266559401927462, 0.0063258133258457822, 0.0063251332121839069, 0.0063245832071085065, 0.0063241379229306213, 0.0063237772925967195, 0.0063234853349806207, 0.0063232492392636093, 0.0063230586790118462, 0.0063229052936297847, 0.006322782293197029, 0.0063226841552822318, 0.0063226063910862941, 0.0063225453644400109, 0.0063224981515868145, 0.0063224624328658014, 0.006322436409744182, 0.0063224187423861732, 0.0063224085042652527, 0.0063224051513552084, 0.0063224056674993905, 0.0063224072251830861, 0.0063224098522956023, 0.0063224135957749249, 0.0063224185223019072, 0.0063224247192933429, 0.0063224322962160545, 0.0063224413862514725, 0.0063224521483487804, 0.0063224647697143147, 0.0063224794687963878, 0.0063224964988379852, 0.0063225161520859448, 0.0063225387647643915, 0.0063225647229437579, 0.0063225944694651429, 0.0063226285121149774, 0.0063226674332883172, 0.0063227119014328962, 0.0063227626846333526, 0.0063228206667793885, 0.0063228868668681899, 0.0063229624621263612, 0.0063230488158091446, 0.0063231475107557982, 0.006323260390065733, 0.0063233896066311511, 0.0063235376837477474, 0.0063237075896650993, 0.0063239028297880449, 0.0063241275613776012, 0.0063243867371343531, 0.0063246862861363806, 0.0063250333434749003, 0.0063254365439169074, 0.0063259064005172349, 0.0063264557970421709, 0.0063271006344762758, 0.0063278606884992145, 0.0063287607593632078, 0.0063298322324220812, 0.0063311152237347391, 0.0063326615724387594, 0.0063345390799169066, 0.0063368376198850137, 0.0063396781154893217, 0.0063432260136319293, 0.0063477120006384825, 0.0063534647268030167, 0.006360964125169297, 0.0063709314323128373, 0.0063844875990844473, 0.0064034459817325267, 0.0064308856319972149, 0.0064723569313266211, 0.0065386520140305552, 0.0066529376001673163, 0.0068721230333284979, 0.0073659854536364811, 0.0088181233648175206, 0.015510482640057863, 0.026709343878668339, 0.011552086522625071, 0.0082895577222724427, 0.0073467380908403034, 0.0069580641768309396, 0.0067610809451949753, 0.0066473003932762242, 0.0065754216157019318, 0.0065269673102959884, 0.0064926601088410559, 0.006467420817414176, 0.0064482750260457531, 0.0064333845077363385, 0.0064215620285583168, 0.0064120121316632766, 0.0064041850550966561, 0.0063976906191895756, 0.0063922454763427009, 0.0063876397063964106, 0.00638371504036013, 0.0063803502973627949, 0.0063774514222461444, 0.0063749445309978234, 0.0063727709667267835, 0.0063708837266225494, 0.0063692448407860428, 0.0063678234228231661, 0.0063665942015894211, 0.0063655364022003951, 0.0063646328836308944, 0.0063638694668177844, 0.0063632344054776833, 0.0063627179646028112, 0.0063623120805898076, 0.006362010083361941, 0.0063618064654502211, 0.0063616966863368381, 0.0063616770028040405, 0.006361744317832446, 0.0063618960419428326, 0.0063621299619147685, 0.0063624441126532523, 0.0063628366487007947, 0.0063633057125842196, 0.0063638492979131139, 0.0063644651059743141, 0.0063651503955518577, 0.0063659018268927602, 0.0063667153021674102, 0.0063675858064464698, 0.0063685072551025934, 0.0063694723555642405, 0.0063704724933552857, 0.0063714976541313084, 0.0063725363946832946, 0.0063735758762762332, 0.0063746019728555059, 0.0063755994642516736, 0.0063765523203178059, 0.0063774440759116358, 0.0063782582890364132, 0.0063789790658590508, 0.0063795916276416977, 0.0063800828870150374, 0.0063804419957410466, 0.0063806608242809358, 0.0063807343358421691, 0.0063806608242809341, 0.0063804419957410484, 0.0063800828870150383, 0.0063795916276416969, 0.0063789790658590508, 0.006378258289036415, 0.0063774440759116358, 0.0063765523203178085, 0.0063755994642516727, 0.0063746019728555059, 0.0063735758762762367, 0.006372536394683292, 0.0063714976541313084, 0.0063704724933552875, 0.006369472355564244, 0.0063685072551025925, 0.0063675858064464689, 0.0063667153021674068, 0.0063659018268927593, 0.0063651503955518586, 0.0063644651059743124, 0.006363849297913113, 0.0063633057125842187, 0.0063628366487007955, 0.0063624441126532523, 0.0063621299619147703, 0.0063618960419428317, 0.0063617443178324434, 0.0063616770028040413, 0.0063616966863368389, 0.006361806465450222, 0.0063620100833619402, 0.0063623120805898084, 0.0063627179646028129, 0.0063632344054776815, 0.0063638694668177826, 0.0063646328836308927, 0.0063655364022003943, 0.0063665942015894237, 0.0063678234228231661, 0.0063692448407860437, 0.0063708837266225494, 0.0063727709667267861, 0.0063749445309978243, 0.006377451422246141, 0.006380350297362794, 0.0063837150403601292, 0.0063876397063964132, 0.0063922454763426922, 0.0063976906191895696, 0.006404185055096657, 0.0064120121316632514, 0.0064215620285583046, 0.0064333845077363212, 0.0064482750260457244, 0.0064674208174141674, 0.0064926601088410307, 0.0065269673102959468, 0.0065754216157018616, 0.0066473003932761314, 0.0067610809451947628, 0.0069580641768309248, 0.007346738090839201, 0.0082895577222712145, 0.011552086522627481, 0.026709343878671462, 0.015510482640063451, 0.008818123364814752, 0.0073659854536364091, 0.0068721230333281215, 0.0066529376001670977, 0.0065386520140305344, 0.0064723569313266264, 0.006430885631997188, 0.0064034459817325371, 0.0063844875990844499, 0.0063709314323128242, 0.0063609641251692961, 0.0063534647268030167, 0.0063477120006384842, 0.0063432260136319285, 0.0063396781154893269, 0.0063368376198850137, 0.0063345390799169066, 0.0063326615724387612, 0.0063311152237347391, 0.0063298322324220821, 0.0063287607593632078, 0.0063278606884992136, 0.0063271006344762758, 0.0063264557970421709, 0.0063259064005172349, 0.0063254365439169083, 0.0063250333434749012, 0.0063246862861363797, 0.006324386737134354, 0.0063241275613775969, 0.006323902829788044, 0.0063237075896650985, 0.00632353768374775, 0.0063233896066311511, 0.0063232603900657356, 0.0063231475107557965, 0.0063230488158091446, 0.006322962462126362, 0.0063228868668681899, 0.0063228206667793885, 0.0063227626846333517, 0.0063227119014328979, 0.006322667433288319, 0.0063226285121149766, 0.0063225944694651421, 0.0063225647229437588, 0.0063225387647643906, 0.006322516152085943, 0.0063224964988379852, 0.0063224794687963869, 0.006322464769714313, 0.0063224521483487795, 0.0063224413862514742, 0.0063224322962160554, 0.0063224247192933411, 0.0063224185223019064, 0.0063224135957749266, 0.0063224098522956023, 0.006322407225183087, 0.0063224056674993905, 0.0063224051513552058, 0.0063224054092287816, 0.0063224061850855901, 0.006322407485646807, 0.0063224093221576367, 0.0063224117104526125, 0.0063224146710478754, 0.0063224182292613389, 0.0063224224153619023, 0.0063224272647491361, 0.0063224328181652589, 0.0063224391219414691, 0.0063224462282811282, 0.0063224541955827045, 0.0063224630888058016, 0.0063224729798841296, 0.0063224839481898611, 0.0063224960810544318, 0.0063225094743515793, 0.0063225242331492824, 0.0063225404724381162, 0.0063225583179447598, 0.0063225779070404959, 0.0063225993897560642, 0.0063226229299158734, 0.006322648706406443, 0.0063226769145961932, 0.0063227077679263366, 0.0063227414996955434, 0.0063227783650646394, 0.0063228186433117207, 0.0063228626403729607, 0.0063229106917099846, 0.0063229631655517069, 0.0063230204665663146, 0.006323083040028793, 0.006323151376560773, 0.0063232260175331021, 0.0063233075612379478, 0.006323396669957012, 0.0063234940780763169, 0.0063236006014269694, 0.0063237171480666748, 0.006323844730759854, 0.0063239844814673256, 0.0063241376682217805, 0.0063243057148462947, 0.0063244902240738275, 0.0063246930047516099, 0.0063249161039726186, 0.0063251618451762841, 0.0063254328735146128, 0.0063257322101045012, 0.0063260633172043052, 0.0063264301768926603, 0.0063268373865308499, 0.0063272902752128084, 0.0063277950466265505, 0.0063283589553759529, 0.006328990525995724, 0.0063296998268528729, 0.0063304988151803264, 0.0063314017750909042, 0.0063324258782504099, 0.0063335919079595309, 0.0063349252032423786, 0.0063364569025293558, 0.0063382256003541113, 0.0063402795810498435, 0.0063426798702863468, 0.0063455044642628904, 0.0063488542842599083, 0.0063528617075487943, 0.0063577030272187578, 0.0063636170453876253, 0.0063709334949843327, 0.0063801176823659548, 0.0063918428099455854, 0.0064071113736065988, 0.006427467493621288, 0.0064553866578551927, 0.0064950333708984256, 0.006553839718985717, 0.0066460870081903566, 0.0068019496424078681, 0.0070936760090346352, 0.0077257990524746221, 0.0094103242266069184, 0.014513809761912038, 0.016321388775763269, 0.010299858459020594, 0.0080734382681436588, 0.0072704400657488894, 0.0069108683495831998, 0.0067220199334070505, 0.0066111941289842841, 0.0065407438944894945, 0.0064931973120685542, 0.0064595859416046912, 0.0064349324561003337, 0.0064162977804684855, 0.0064018567535133715, 0.0063904277122846243, 0.0063812183320567546, 0.0063736812467334054, 0.0063674284610555605, 0.0063621787198442671, 0.0063577240955516806, 0.0063539081750922134, 0.0063506114627737715, 0.006347741394720316, 0.006345225371848652, 0.0063430058117591465, 0.006341036577502286, 0.0063392803621140342, 0.0063377067473989433, 0.0063362907454486226, 0.0063350116905172222, 0.006333852388396519, 0.0063327984572671553, 0.0063318378124904671, 0.0063309602607168058, 0.0063301571778182318, 0.0063294212516886352, 0.0063287462756833465, 0.0063281269819285063, 0.0063275589062838601, 0.0063270382786466354, 0.0063265619337161101, 0.0063253745838892667, 0.0063245170838325824, 0.0063239713779261056, 0.0063237449202954293, 0.0063238703164115338, 0.0063244083946489065, 0.0063254550011583666, 0.0063271525788106495, 0.0063297085720735108, 0.0063334241724590633, 0.006338739306154903, 0.0063463037756944039, 0.0063570913200113573, 0.0063725851086312889, 0.0063950830525777869, 0.0064282032555541537, 0.00647771428170616, 0.0065528480169446237, 0.0066681503057721171, 0.0068452176686423765, 0.0071109908892988197, 0.0074823488474140953, 0.0079198835612279313, 0.0082659688206276997, 0.0082963495878112144, 0.0079634634578799532, 0.0074809244571419345, 0.007068969262214995, 0.0067945270354683477, 0.0066312354575364611, 0.0065375599283235344, 0.0064835009639524627, 0.006451394671457375, 0.0064315384951011498, 0.0064186839149892056, 0.0064099642258397087, 0.0064037792306008649, 0.006399210579812617, 0.0063957147566600907, 0.0063929594737647342, 0.0063907346635472756, 0.0063889029039880521, 0.0063873711271221489, 0.0063860740745383194, 0.0063849643876644924, 0.006384006532325865, 0.00638317298957979, 0.0063824418157711347, 0.0063817950476605795, 0.0063812176400075147, 0.0063806967453728216, 0.0063802212180781373, 0.0063797812676103663, 0.0063793682132712365, 0.0063789743083712148, 0.0063785926127166871, 0.0063782168988763223, 0.006377841582137514, 0.0063774616670275956, 0.0063770727053025075, 0.0063766707617241907, 0.0063762523849640613, 0.0063758145817141808, 0.006375354792644246, 0.0063748708692660267, 0.0063743610510920545, 0.0063738239427264436, 0.0063732584907180718, 0.0063726639601512629, 0.0063720399110549957, 0.0063713861747846587, 0.0063707028305762274, 0.0063699901824958534, 0.0063692487370127027, 0.0063684791814132384, 0.0063676823632545882, 0.0063668592710263653, 0.0063660110161572027, 0.006365138816466615, 0.0063642439811267756, 0.0063633278971638634, 0.0063623920174963019, 0.0063614378504777214, 0.0063604669508873449, 0.0063594809122888537, 0.006358481360661773, 0.0063574699491959936, 0.0063564483541306109, 0.0063554182715120427, 0.0063543814147432858, 0.0063533395127955182, 0.0063522943089548804, 0.0063512475599805775, 0.0063502010355552677, 0.0063491565179145861, 0.0063481158015494558, 0.0063470806928822496, 0.0063460530098258623, 0.0063450345811430367, 0.0063440272455319484, 0.0063430328503729216, 0.006342053250080284, 0.0063410903040126343, 0.0063401458739043778, 0.0063392218207911338, 0.0063383200014114289, 0.0063374422640774071, 0.0063365904440173754, 0.006335766358203522, 0.0063349717996883815, 0.0063342085314841172, 0.0063334782800286947, 0.0063327827282928014, 0.0063321235085907115, 0.0063315021951667987, 0.0063309202966370598, 0.0063303792483717395, 0.0063298804049101657, 0.0063294250325031127, 0.0063290143018798276, 0.0063286492813375396, 0.0063283309302496734, 0.0063280600930856346, 0.0063278374940298719, 0.0063276637322803985, 0.0063275392780984168, 0.006327464469669827, 0.006327439510827447, 0.006327456150927867, 0.0063275060362710757, 0.0063275890621046233, 0.0063277050542452553, 0.0063278537696800545, 0.006328034897397904, 0.0063282480594412712, 0.0063284928121657329, 0.0063287686476921016, 0.006329074995533826, 0.0063294112243802393, 0.0063297766440143441, 0.0063301705073423977, 0.0063305920125111279, 0.0063310403050875538, 0.0063315144802755475, 0.0063320135851430565, 0.0063325366208336871, 0.0063330825447366875, 0.0063336502725898748, 0.0063342386804909395, 0.0063348466067937878, 0.0063354728538679858, 0.0063361161897013494, 0.0063367753493276963, 0.0063374490360643869, 0.0063381359225470162, 0.0063388346515518782, 0.0063395438366001863, 0.0063402620623422496, 0.0063409878847238014, 0.0063417198309417746, 0.006342456399201923, 0.00634319605829639, 0.0063439372470257523, 0.0063446783734967425, 0.0063454178143342414, 0.0063461539138540352, 0.0063468849832511703, 0.006347609299867653, 0.0063483251066123216, 0.0063490306116153064, 0.0063497239882088141, 0.0063504033753353359, 0.0063510668784931513, 0.0063517125713368119, 0.0063523384980569073, 0.0063529426766678731, 0.0063535231033348023, 0.0063540777578689166, 0.0063546046105162034, 0.0063551016301536447, 0.0063555667939919009, 0.0063559980988612532, 0.0063563935741286883, 0.0063567512962575956, 0.0063570694049774456, 0.0063573461209793973, 0.0063575797649953218, 0.0063577687780535901, 0.0063579117426367949, 0.0063580074043966001, 0.0063580546940122037, 0.0063580527487147208, 0.0063580009329446139, 0.006357898857566339, 0.0063577463970391681, 0.006357543703938243, 0.0063572912202396591, 0.0063569896848293412, 0.0063566401367690737, 0.0063562439139530531, 0.0063558026469128772, 0.0063553182476732148, 0.0063547928937185147, 0.0063542290072958682, 0.0063536292304418179, 0.0063529963962727911, 0.0063523334972116546, 0.0063516436509286371, 0.006350930064848161, 0.0063501960001095112, 0.0063494447358675918, 0.0063486795347811346, 0.0063479036104627466, 0.0063471200975638194, 0.006346332025043833, 0.006345542293036281, 0.0063447536535798732, 0.0063439686953416568, 0.0063431898323253032, 0.0063424192964380427, 0.0063416591336883221, 0.0063409112037053949, 0.0063401771822127187, 0.00633945856604912, 0.0063387566803136198, 0.0063380726872092558, 0.0063374075961755332, 0.0063367622749251088, 0.0063361374610348044, 0.0063355337737814269, 0.0063349517259559153, 0.0063343917354335873, 0.0063338541363211027, 0.0063333391895414575, 0.00633284709275543, 0.0063323779895511434, 0.0063319319778621505, 0.0063315091175989617, 0.0063311094374990757, 0.0063307329412166753, 0.0063303796126856823, 0.0063300494207990977, 0.0063297423234538368, 0.0063294582710143599, 0.0063291972092501467, 0.0063289590818024141, 0.0063287438322343322, 0.0063285514057167813, 0.0063283817503986964, 0.0063282348185074479, 0.0063281105672205315, 0.0063280089593454776, 0.0063279299638402103, 0.0063278735562012052, 0.0063278397187420546, 0.0063278284407798594], [0.0065748288608902779, 0.0065748528783821317, 0.0065749248995406861, 0.0065750448306896164, 0.0065752125166153412, 0.0065754277419304754, 0.0065756902329687228, 0.0065759996601976838, 0.0065763556411325367, 0.0065767577437303984, 0.0065772054902425627, 0.0065776983614993095, 0.0065782358016003061, 0.0065788172229821864, 0.0065794420118341756, 0.0065801095338323089, 0.0065808191401632143, 0.0065815701738094357, 0.0065823619760695291, 0.0065831938932886689, 0.0065840652837778155, 0.0065849755249031547, 0.0065859240203310666, 0.0065869102074186496, 0.0065879335647447256, 0.0065889936197821046, 0.0065900899567182597, 0.0065912222244387305, 0.0065923901446955941, 0.0065935935204923801, 0.0065948322447267164, 0.0065961063091437393, 0.0065974158136661394, 0.0065987609761819161, 0.0066001421428884162, 0.0066015597993119681, 0.0066030145821466251, 0.0066045072920848744, 0.0066060389078482964, 0.0066076106016686679, 0.0066092237565221843, 0.0066108799854833035, 0.0066125811536436032, 0.0066143294031388933, 0.0066161271819495451, 0.00661797727729124, 0.0066198828546042247, 0.0066218475033893364, 0.0066238752914423299, 0.0066259708294220728, 0.0066281393481762083, 0.0066303867918702086, 0.0066327199307623349, 0.0066351464984907025, 0.0066376753600607789, 0.0066403167184374695, 0.0066430823698862551, 0.0066459860211531049, 0.0066490436854737354, 0.0066522741796150621, 0.0066556997511840943, 0.0066593468750307206, 0.0066632472708093972, 0.0066674392122768825, 0.0066719692251562017, 0.0066768943081925713, 0.0066822848673197119, 0.0066882286351340513, 0.0066948359725516795, 0.0067022471421421389, 0.0067106424465002441, 0.006720256615397084, 0.0067313996368242469, 0.0067444876072124162, 0.0067600895976860703, 0.0067790009332206469, 0.0068023616009166166, 0.006831854968846942, 0.0068700563579030382, 0.0069210773221047113, 0.0069918340406115598, 0.0070947461443674909, 0.0072540724569488731, 0.0075228311551475751, 0.0080367620127438383, 0.0092381315853854711, 0.013312287379698867, 0.044524855722421826, 0.032925603203462182, 0.011151939603214162, 0.0082098373294642989, 0.0073609272284984777, 0.0070154492589921038, 0.0068455476900784774, 0.0067513874764641053, 0.00669473749826573, 0.0066585563415403198, 0.0066343778083399075, 0.006617638876443707, 0.0066057189500477688, 0.0065970343475927539, 0.0065905871911852258, 0.00658572639099718, 0.0065820143662080159, 0.0065791494540645649, 0.0065769190440651808, 0.0065751703544323593, 0.0065737916956738257, 0.0065727001599807369, 0.0065718333549135656, 0.006571143743897891, 0.0065705947032504196, 0.0065701577314673815, 0.0065698104456071941, 0.0065695351239435616, 0.0065693176333181209, 0.0065691466310811514, 0.0065690129654960979, 0.0065689092212860324, 0.0065688293725229439, 0.0065687685157724664, 0.0065687226638942919, 0.0065686885861972188, 0.006568663684443597, 0.0065686458969513003, 0.0065686336250657274, 0.0065686256777862375, 0.0065686212314829224, 0.0065686198025391553, 0.0065686200352483345, 0.0065686207413636353, 0.0065686219449686174, 0.0065686236866060559, 0.0065686260238923952, 0.0065686290323967436, 0.006568632806803803, 0.0065686374623867318, 0.0065686431368234361, 0.0065686499923982237, 0.0065686582186407242, 0.0065686680354657585, 0.0065686796968916963, 0.0065686934954317178, 0.006568709767272707, 0.0065687288983812707, 0.006568751331706665, 0.0065687775756879804, 0.0065688082143191212, 0.0065688439190829508, 0.0065688854631381667, 0.0065689337382334395, 0.0065689897749381951, 0.0065690547669259268, 0.0065691301002327434, 0.0065692173886547451, 0.0065693185167595312, 0.0065694356923932003, 0.0065695715110973578, 0.0065697290355550076, 0.0065699118941223017, 0.006570124403762586, 0.0065703717244044637, 0.0065706600540754462, 0.0065709968773770885, 0.006571391284347446, 0.0065718543830697142, 0.0065723998383872672, 0.0065730445820825351, 0.0065738097589007928, 0.0065747220010554143, 0.0065758151664895605, 0.0065771327416311344, 0.0065787312117870384, 0.006580684865863445, 0.0065830927692393827, 0.0065860890860372371, 0.0065898587024873917, 0.0065946614716466461, 0.0066008709171629012, 0.0066090380517508478, 0.0066200006148226216, 0.0066350783979012198, 0.0066564410292690931, 0.0066878449271704204, 0.0067362271116258032, 0.0068154995355259075, 0.0069567813174024971, 0.0072410613569643427, 0.0079318478553673383, 0.010248315063059427, 0.022429591225468205, 0.020234342754596374, 0.010247525669021351, 0.0081506812155604097, 0.0074534990273861053, 0.0071418083920536538, 0.006975656484419601, 0.0068763380214645186, 0.0068120211064748547, 0.0067678425766887545, 0.0067360982943988146, 0.0067124650590758535, 0.0066943608042200698, 0.006680163840234201, 0.006668812597473121, 0.0066595876519410027, 0.006651986888531255, 0.0066456508913598769, 0.0066403166918304326, 0.0066357881720959747, 0.0066319165927972833, 0.0066285874636376882, 0.0066257114953835981, 0.00662321824148401, 0.006621051550414917, 0.0066191662607614802, 0.0066175257642034201, 0.006616100184266796, 0.0066148649982388881, 0.0066137999821548809, 0.0066128883940233668, 0.0066121163344960675, 0.0066114722408062761, 0.0066109464814362263, 0.0066105310272136595, 0.0066102191804344023, 0.0066100053478676431, 0.0066098848466083146, 0.0066098537340327189, 0.0066099086548293932, 0.0066100466993920118, 0.006610265268907475, 0.0066105619433549099, 0.0066109343494355904, 0.006611380026254038, 0.0066118962874303381, 0.0066124800792980503, 0.0066131278359742949, 0.0066138353334045776, 0.0066145975459877011, 0.0066154085110428813, 0.0066162612081165232, 0.0066171474618097271, 0.0066180578782497751, 0.0066189818262837891, 0.0066199074746513655, 0.0066208218954950755, 0.0066217112423285823, 0.0066225610068367819, 0.0066233563536352048, 0.0066240825256050212, 0.0066247253051550927, 0.0066252715095161188, 0.0066257094919103844, 0.0066260296161904583, 0.0066262246712044098, 0.0066262901933078541, 0.006626224671204408, 0.0066260296161904592, 0.0066257094919103844, 0.0066252715095161188, 0.0066247253051550945, 0.0066240825256050203, 0.006623356353635204, 0.0066225610068367802, 0.0066217112423285797, 0.0066208218954950755, 0.0066199074746513672, 0.0066189818262837874, 0.0066180578782497768, 0.0066171474618097279, 0.0066162612081165275, 0.0066154085110428805, 0.0066145975459877011, 0.0066138353334045741, 0.0066131278359742949, 0.0066124800792980538, 0.0066118962874303338, 0.006611380026254038, 0.0066109343494355913, 0.0066105619433549099, 0.0066102652689074733, 0.0066100466993920127, 0.006609908654829395, 0.0066098537340327189, 0.0066098848466083129, 0.0066100053478676448, 0.0066102191804344023, 0.0066105310272136595, 0.006610946481436228, 0.0066114722408062779, 0.0066121163344960683, 0.0066128883940233642, 0.0066137999821548783, 0.0066148649982388881, 0.0066161001842667986, 0.0066175257642034193, 0.0066191662607614846, 0.0066210515504149152, 0.00662321824148401, 0.0066257114953835981, 0.0066285874636376838, 0.0066319165927972816, 0.0066357881720959747, 0.006640316691830437, 0.0066456508913598682, 0.0066519868885312498, 0.0066595876519410062, 0.006668812597473095, 0.0066801638402341854, 0.0066943608042200481, 0.0067124650590758179, 0.0067360982943988033, 0.0067678425766887224, 0.0068120211064748035, 0.0068763380214644223, 0.0069756564844194683, 0.0071418083920533598, 0.0074534990273861, 0.0081506812155583662, 0.010247525669018188, 0.020234342754604444, 0.022429591225465041, 0.010248315063061075, 0.007931847855366058, 0.0072410613569643062, 0.0069567813174022707, 0.0068154995355257644, 0.0067362271116257894, 0.0066878449271704221, 0.0066564410292690741, 0.0066350783979012276, 0.0066200006148226208, 0.0066090380517508365, 0.0066008709171628994, 0.006594661471646647, 0.0065898587024873934, 0.0065860890860372362, 0.0065830927692393862, 0.0065806848658634468, 0.0065787312117870384, 0.0065771327416311335, 0.0065758151664895605, 0.0065747220010554134, 0.0065738097589007911, 0.0065730445820825342, 0.0065723998383872681, 0.0065718543830697133, 0.0065713912843474486, 0.0065709968773770885, 0.0065706600540754471, 0.0065703717244044637, 0.006570124403762586, 0.0065699118941223, 0.0065697290355550067, 0.0065695715110973552, 0.0065694356923932011, 0.0065693185167595338, 0.0065692173886547451, 0.0065691301002327391, 0.0065690547669259277, 0.0065689897749381925, 0.0065689337382334387, 0.0065688854631381676, 0.0065688439190829499, 0.0065688082143191212, 0.006568777575687983, 0.0065687513317066668, 0.0065687288983812707, 0.006568709767272707, 0.0065686934954317161, 0.0065686796968916963, 0.0065686680354657603, 0.0065686582186407234, 0.0065686499923982237, 0.0065686431368234387, 0.0065686374623867318, 0.0065686328068038022, 0.0065686290323967444, 0.0065686260238923934, 0.0065686236866060567, 0.00656862194496862, 0.0065686207413636361, 0.0065686200352483345, 0.0065686198025391536, 0.0065686199187289847, 0.0065686202693087991, 0.0065686208603211223, 0.0065686217018754642, 0.006568622808206661, 0.0065686241977573109, 0.0065686258932850837, 0.0065686279219959488, 0.0065686303157045569, 0.0065686331110233753, 0.0065686363495823822, 0.0065686400782815086, 0.0065686443495783882, 0.0065686492218142859, 0.0065686547595816061, 0.0065686610341368652, 0.006568668123863506, 0.0065686761147896108, 0.0065686851011663282, 0.0065686951861135164, 0.0065687064823401762, 0.0065687191129482347, 0.0065687332123294294, 0.0065687489271666058, 0.0065687664175521727, 0.0065687858582384791, 0.0065688074400370739, 0.0065688313713862401, 0.0065688578801093378, 0.0065688872153897961, 0.0065689196499928689, 0.0065689554827688974, 0.0065689950414785977, 0.0065690386859875733, 0.0065690868118851624, 0.0065691398545922484, 0.0065691982940338789, 0.006569262659966088, 0.0065693335380625148, 0.0065694115768859564, 0.0065694974958936392, 0.0065695920946536061, 0.0065696962634846368, 0.0065698109957747558, 0.0065699374022858891, 0.0065700767278168773, 0.0065702303706771919, 0.0065703999055234091, 0.0065705871102351423, 0.0065707939976637547, 0.0065710228532852612, 0.0065712762800400285, 0.0065715572519633916, 0.0065718691786242431, 0.0065722159829230686, 0.006572602195497039, 0.0065730330698931406, 0.0065735147238772584, 0.006574054313855722, 0.0065746602515465036, 0.0065753424749668485, 0.0065761127898130069, 0.0065769853028500441, 0.0065779769766743561, 0.0065791083461596784, 0.0065804044525661536, 0.0065818960740167184, 0.0065836213644784774, 0.0065856280633412841, 0.0065879765135888804, 0.0065907438440110369, 0.0065940298563139706, 0.0065979654571347674, 0.0066027249693950598, 0.0066085444966994733, 0.0066157499820417524, 0.0066248012550672326, 0.0066363633415132744, 0.0066514260616934648, 0.0066715130075878058, 0.0066990646676542611, 0.0067381821100948799, 0.0067961736183121246, 0.0068870558654880766, 0.0070403691712621948, 0.0073266049714053195, 0.0079444672798819997, 0.0095835297224501678, 0.014602757985590813, 0.016876584703158785, 0.010695191547531041, 0.0083717752608800603, 0.0075404069639857397, 0.0071702922515845145, 0.0069766114729068306, 0.0068632093262528046, 0.006791225535401694, 0.0067426872652236979, 0.0067083921147063144, 0.0066832424953286737, 0.0066642326237134411, 0.0066494979775520591, 0.0066378324527993091, 0.0066284278844449696, 0.0066207262600908885, 0.0066143322019560306, 0.0066089591948549058, 0.0066043954734961432, 0.0066004817654891365, 0.0065970964048058774, 0.0065941451525412306, 0.006591554097343127, 0.0065892646147114094, 0.0065872297298776115, 0.0065854114546648667, 0.0065837788112434814, 0.006582306347554385, 0.0065809730094956598, 0.006579761275268505, 0.0065786564846339116, 0.0065776463146724664, 0.0065767203667949168, 0.0065758698390528045, 0.0065750872644542591, 0.0065743663008052894, 0.0065737015611173457, 0.0065730884762215201, 0.0065725231831672394, 0.0065710842281361988, 0.0065699880635314289, 0.0065692062216252374, 0.0065687371740326883, 0.0065686047585809745, 0.0065688601772000751, 0.0065695876106402745, 0.006570914250122406, 0.0065730264272535616, 0.006576194774016034, 0.0065808132960218802, 0.0065874604117448004, 0.0065969952222171878, 0.0066107107733724387, 0.0066305794082955356, 0.0066596441355774869, 0.0067026286968264286, 0.0067668268146856532, 0.0068631720915753184, 0.0070067304189870205, 0.0072138833655867717, 0.0074895183604713443, 0.0077966270243046941, 0.0080257134116596598, 0.0080392631743229307, 0.0078135905811364641, 0.0074808050165571603, 0.0071840502056084781, 0.0069764880610836584, 0.0068474445352695998, 0.006770686443388834, 0.0067250781913725573, 0.0066973314896111701, 0.0066798116839225123, 0.0066682546488098975, 0.0066602766650292475, 0.0066545240664208404, 0.0066502097020625719, 0.0066468627323184792, 0.0066441926216108524, 0.0066420140579545508, 0.0066402046861444913, 0.0066386807948487182, 0.0066373830150405532, 0.0066362677160207413, 0.0066353017127715802, 0.006634458938794021, 0.0066337183102646562, 0.0066330623273471428, 0.0066324761409691339, 0.0066319469193583695, 0.0066314634113022047, 0.0066310156408107444, 0.0066305946909567121, 0.0066301925490501058, 0.0066298019944233382, 0.0066294165159874767, 0.0066290302505922528, 0.0066286379358243561, 0.0066282348726668791, 0.0066278168947027814, 0.0066273803414556706, 0.0066269220341355073, 0.0066264392525671144, 0.0066259297124725402, 0.0066253915425836668, 0.0066248232612993816, 0.0066242237527851557, 0.0066235922425513872, 0.0066229282726477231, 0.0066222316766790766, 0.0066215025548906426, 0.0066207412495877579, 0.0066199483211568438, 0.0066191245249389435, 0.0066182707891821596, 0.0066173881942657702, 0.0066164779533510552, 0.0066155413945734338, 0.0066145799448502351, 0.0066135951153395121, 0.0066125884885493884, 0.0066115617070650577, 0.0066105164638326809, 0.0066094544939157987, 0.0066083775676211457, 0.0066072874848761192, 0.0066061860707297866, 0.0066050751718426453, 0.0066039566538268141, 0.0066028323992978191, 0.0066017043065007214, 0.0066005742883771127, 0.0065994442719445844, 0.0065983161978668027, 0.0065971920200995834, 0.0065960737055064658, 0.0065949632333459117, 0.0065938625945412112, 0.0065927737906535475, 0.0065916988324882684, 0.0065906397382742427, 0.00658959853136623, 0.006588577237430465, 0.006587577881084241, 0.0065866024819708022, 0.0065856530502619876, 0.0065847315815919733, 0.0065838400514367018, 0.0065829804089647288, 0.0065821545703964235, 0.0065813644119192384, 0.00658061176221737, 0.0065798983946840492, 0.0065792260193939514, 0.0065785962749214406, 0.0065780107200974734, 0.006577470825803588, 0.0065769779669056653, 0.0065765334144323086, 0.0065761383281032568, 0.006575793749311591, 0.0065755005946598315, 0.0065752596501443914, 0.0065750715660749274, 0.0065749368528056412, 0.0065748558773441185, 0.0065748288608902779, 0.0065748468728056755, 0.0065749008706122158, 0.0065749907406222876, 0.0065751162937927252, 0.0065752772663735812, 0.0065754733208055064, 0.0065757040468549582, 0.0065759689629736441, 0.0065762675178659942, 0.0065765990922458904, 0.0065769630007617742, 0.006577358494067204, 0.0065777847610123041, 0.0065782409309301177, 0.0065787260759908794, 0.0065792392135963435, 0.0065797793087860853, 0.0065803452766273977, 0.0065809359845608447, 0.0065815502546740425, 0.0065821868658771723, 0.0065828445559550997, 0.0065835220234724641, 0.0065842179295102256, 0.0065849308992143481, 0.0065856595231400285, 0.0065864023583779262, 0.0065871579294522831, 0.006587924728984583, 0.006588701218120799, 0.006589485826724798, 0.0065902769533458007, 0.0065910729649734804, 0.006591872196600377, 0.0065926729506182854, 0.0065934734960825612, 0.0065942720678862365, 0.0065950668658944439, 0.0065958560540987244, 0.0065966377598603984, 0.0065974100733220955, 0.0065981710470769221, 0.0065989186961948592, 0.0065996509987161197, 0.0066003658967307621, 0.0066010612981722916, 0.0066017350794600792, 0.0066023850891303859, 0.0066030091525979681, 0.0066036050781888419, 0.00660417066457911, 0.006604703709763661, 0.0066052020216615286, 0.0066056634304406912, 0.006606085802613279, 0.0066064670569126304, 0.0066068051819154006, 0.0066070982553157551, 0.0066073444646951108, 0.006607542129560798, 0.0066076897243528571, 0.0066077859020419218, 0.0066078295178664103, 0.0066078196526876895, 0.0066077556353816829, 0.0066076370636394205, 0.0066074638225217227, 0.0066072361001086504, 0.0066069543996064763, 0.0066066195473257448, 0.0066062326960249782, 0.0066057953232242003, 0.0066053092242289464, 0.006604776499763044, 0.0066041995382811929, 0.0066035809932119905, 0.0066029237555590998, 0.0066022309224534927, 0.0066015057623936653, 0.006600751678025157, 0.0065999721673895969, 0.0065991707846119472, 0.0065983511009917268, 0.0065975166674205506, 0.0065966709789678172, 0.0065958174423651102, 0.0065949593469847986, 0.0065940998397583279, 0.006593241904322986, 0.0065923883445314132, 0.0065915417723127695, 0.0065907045997444288, 0.006589879035082867, 0.0065890670824147448, 0.0065882705445249393, 0.0065874910285373383, 0.0065867299538649345, 0.0065859885620052757, 0.0065852679277333915, 0.006584568971272544, 0.0065838924710610999, 0.0065832390767777901, 0.0065826093223347176, 0.0065820036385957591, 0.0065814223656247388, 0.0065808657643122142, 0.0065803340272702496, 0.0065798272889207856, 0.0065793456347347078, 0.0065788891096054481, 0.0065784577253629887, 0.0065780514674518113, 0.006577670300809935, 0.0065773141749964296, 0.0065769830286216222, 0.0065766767931386624, 0.0065763953960571086, 0.0065761387636395288, 0.0065759068231408717, 0.0065756995046479597, 0.0065755167425730881, 0.0065753584768518756, 0.0065752246538907525, 0.0065751152273048809, 0.006575030158481948, 0.0065749694170020015, 0.0065749329809382676, 0.0065749208370581361], [0.0068200970388361138, 0.0068201228210845854, 0.0068202001342094762, 0.0068203288776439832, 0.006820508884757312, 0.006820739924317934, 0.0068210217025273306, 0.0068213538656096001, 0.0068217360029387978, 0.006822167650682387, 0.0068226482959363646, 0.006823177381325124, 0.0068237543100370763, 0.0068243784512658041, 0.0068250491460255811, 0.0068257657133098636, 0.0068265274565618272, 0.0068273336704270998, 0.0068281836477603105, 0.0068290766868596793, 0.0068300120989066111, 0.0068309892155909652, 0.0068320073969068791, 0.0068330660391089605, 0.0068341645828242118, 0.0068353025213213512, 0.0068364794089462713, 0.0068376948697402278, 0.0068389486062661745, 0.0068402404086786986, 0.00684157016408392, 0.0068429378662488169, 0.0068443436257336612, 0.0068457876805382515, 0.006847270407372162, 0.0068487923336823953, 0.006850354150599018, 0.0068519567269923025, 0.0068536011248743443, 0.0068552886164260406, 0.0068570207029890924, 0.0068587991364347364, 0.0068606259434099435, 0.006862503453072522, 0.0068644343290642255, 0.0068664216066434613, 0.0068684687361156077, 0.0068705796339717344, 0.0068727587434912404, 0.0068750111070012875, 0.0068773424525425467, 0.0068797592984020731, 0.0068822690798863656, 0.0068848803038831785, 0.0068876027382825085, 0.0068904476453086391, 0.0068934280704105342, 0.0068965592017827164, 0.0068998588201427472, 0.0069033478645032518, 0.0069070511479606186, 0.0069109982688782302, 0.0069152247785996364, 0.0069197736889867823, 0.0069246974346930832, 0.0069300604508855199, 0.0069359425945928936, 0.0069424437389739519, 0.0069496900242172121, 0.0069578424893764037, 0.0069671091925252986, 0.0069777625511936447, 0.0069901646803172185, 0.0070048053058723693, 0.0070223600382274716, 0.0070437827109080505, 0.0070704569002436862, 0.0071044548221922549, 0.007149001219855183, 0.0072093530027851245, 0.0072945862282665433, 0.0074215515976645196, 0.0076246495197855486, 0.0079838190566409294, 0.0087232584590901906, 0.010692197777346367, 0.019526092488892931, 0.085739112938079787, 0.017652972440696333, 0.0096145057174277446, 0.0079825595054069665, 0.0074207264060060368, 0.0071700468936299437, 0.0070397465001601446, 0.0069648660458103235, 0.0069186756883897749, 0.0068886482767109136, 0.006868326753731285, 0.0068541317818319632, 0.0068439619339320402, 0.0068365247061073654, 0.0068309939533975871, 0.0068268242563899375, 0.0068236454537343267, 0.0068212002668655318, 0.0068193061160288495, 0.0068178310349557162, 0.0068166780746432998, 0.0068157749673034198, 0.0068150671335783161, 0.0068145128633857986, 0.0068140799390019047, 0.0068137432328371165, 0.0068134829750150592, 0.006813283488303833, 0.0068131322537400146, 0.006813019213297437, 0.0068129362445376101, 0.0068128767614650263, 0.0068128354090070129, 0.0068128078276869205, 0.006812790471481798, 0.0068127804664184612, 0.006812775500741941, 0.0068127737398774634, 0.0068127737611675442, 0.0068127745046843505, 0.0068127752374242245, 0.0068127755289797932, 0.0068127755070772171, 0.0068127754482341938, 0.0068127753731513866, 0.0068127753166873683, 0.0068127753284029638, 0.0068127754733398639, 0.0068127758330506633, 0.0068127765069032403, 0.0068127776136890318, 0.0068127792935720934, 0.0068127817104247108, 0.0068127850546054712, 0.0068127895462479953, 0.006812795439143076, 0.0068128030253148605, 0.0068128126404129602, 0.0068128246700689893, 0.006812839557398186, 0.0068128578118669212, 0.0068128800197965527, 0.006812906856836165, 0.0068129391028146514, 0.0068129776594807448, 0.0068130235717643152, 0.0068130780533509801, 0.0068131425175658247, 0.0068132186148248536, 0.00681330827825395, 0.0068134137795210509, 0.0068135377975139851, 0.0068136835032743415, 0.0068138546656368714, 0.0068140557834237871, 0.006814292251945059, 0.0068145705741641137, 0.0068148986305001224, 0.0068152860262931467, 0.006815744543112668, 0.0068162887303379553, 0.0068169366883093956, 0.0068177111162303298, 0.0068186407306826766, 0.0068197622102423913, 0.0068211228983712452, 0.0068227846176016436, 0.0068248291425255618, 0.0068273661995485752, 0.0068305454031948746, 0.0068345744816716977, 0.0068397478391990637, 0.0068464926618659475, 0.0068554459121807354, 0.0068675880659497673, 0.0068844863830541808, 0.0069087624158203067, 0.0069450522577215699, 0.0070021480630412594, 0.0070983005107727488, 0.007276283994282884, 0.0076551248741172605, 0.008664259977119065, 0.012643332655611478, 0.030518757300504865, 0.01530113635510248, 0.0095280888789212714, 0.0081162860371268505, 0.0075872618593807815, 0.0073336504680782538, 0.0071922697952750986, 0.0071050940540069493, 0.00704733903439467, 0.0070069689778281645, 0.0069775576644969936, 0.0069554143814729782, 0.0069382932665569379, 0.0069247619251003893, 0.0069138705280276111, 0.006904968268680132, 0.0068975966000466736, 0.0068914245713505001, 0.0068862082756106641, 0.006881764635566506, 0.0068779540012214296, 0.0068746683215853838, 0.0068718229343978903, 0.006869350758649001, 0.00686719811610102, 0.0068653216779381515, 0.0068636862017109491, 0.0068622628319078213, 0.006861027808067661, 0.006859961471234537, 0.0068590474912138604, 0.0068582722587859045, 0.0068576244021054519, 0.0068570943971183558, 0.0068566742493686144, 0.0068563572299935897, 0.0068561376526468671, 0.0068560106809863394, 0.0068559721585266693, 0.0068560184543017648, 0.0068561463190765859, 0.0068563527479137895, 0.0068566348458369295, 0.0068569896942194813, 0.0068574142164336193, 0.0068579050422694545, 0.0068584583717248241, 0.0068590698399907928, 0.0068597343868193146, 0.0068604461349254927, 0.0068611982835777279, 0.0068619830249489373, 0.0068627914919755706, 0.0068636137471886349, 0.0068644388220006807, 0.0068652548150100572, 0.0068660490558107301, 0.0068668083374545724, 0.0068675192161316507, 0.0068681683710374282, 0.0068687430112310283, 0.0068692313102142249, 0.0068696228437840094, 0.0068699090032771247, 0.0068700833553651305, 0.006870141921535052, 0.006870083355365127, 0.0068699090032771247, 0.0068696228437840111, 0.006869231310214224, 0.0068687430112310283, 0.0068681683710374282, 0.0068675192161316515, 0.006866808337454575, 0.0068660490558107292, 0.006865254815010058, 0.0068644388220006807, 0.0068636137471886332, 0.0068627914919755697, 0.0068619830249489382, 0.0068611982835777297, 0.006860446134925491, 0.0068597343868193111, 0.0068590698399907876, 0.006858458371724825, 0.0068579050422694536, 0.0068574142164336167, 0.0068569896942194796, 0.0068566348458369304, 0.0068563527479137895, 0.0068561463190765859, 0.0068560184543017648, 0.0068559721585266693, 0.0068560106809863394, 0.0068561376526468654, 0.0068563572299935888, 0.0068566742493686153, 0.0068570943971183549, 0.0068576244021054536, 0.0068582722587859054, 0.0068590474912138613, 0.0068599614712345309, 0.0068610278080676566, 0.0068622628319078222, 0.0068636862017109499, 0.0068653216779381489, 0.0068671981161010217, 0.0068693507586489976, 0.0068718229343978938, 0.0068746683215853846, 0.0068779540012214261, 0.0068817646355665025, 0.0068862082756106606, 0.0068914245713505044, 0.0068975966000466632, 0.0069049682686801277, 0.0069138705280276103, 0.0069247619251003607, 0.0069382932665569205, 0.0069554143814729514, 0.0069775576644969519, 0.0070069689778281506, 0.0070473390343946301, 0.0071050940540068799, 0.0071922697952749625, 0.0073336504680780751, 0.0075872618593802984, 0.0081162860371267881, 0.0095280888789166865, 0.015301136355093434, 0.030518757300501676, 0.012643332655610394, 0.008664259977119667, 0.0076551248741166256, 0.0072762839942828563, 0.0070983005107726023, 0.0070021480630411553, 0.0069450522577215561, 0.0069087624158203076, 0.0068844863830541678, 0.0068675880659497751, 0.0068554459121807354, 0.0068464926618659388, 0.0068397478391990611, 0.0068345744816716968, 0.0068305454031948772, 0.0068273661995485744, 0.0068248291425255635, 0.0068227846176016427, 0.0068211228983712444, 0.0068197622102423939, 0.0068186407306826749, 0.0068177111162303307, 0.0068169366883093939, 0.0068162887303379553, 0.006815744543112668, 0.0068152860262931476, 0.0068148986305001233, 0.0068145705741641154, 0.0068142922519450599, 0.0068140557834237853, 0.0068138546656368731, 0.0068136835032743398, 0.006813537797513986, 0.0068134137795210501, 0.0068133082782539491, 0.0068132186148248536, 0.0068131425175658247, 0.0068130780533509783, 0.0068130235717643144, 0.0068129776594807422, 0.0068129391028146497, 0.006812906856836165, 0.0068128800197965493, 0.0068128578118669195, 0.0068128395573981877, 0.0068128246700689893, 0.0068128126404129593, 0.0068128030253148588, 0.0068127954391430769, 0.0068127895462479918, 0.0068127850546054729, 0.0068127817104247108, 0.0068127792935720934, 0.0068127776136890344, 0.0068127765069032403, 0.0068127758330506598, 0.0068127754733398639, 0.006812775328402962, 0.0068127753166873691, 0.0068127753731513875, 0.0068127754482341938, 0.0068127755070772188, 0.0068127755289797923, 0.0068127755178938277, 0.0068127754864464457, 0.0068127754400795475, 0.0068127753878975648, 0.0068127753427196939, 0.006812775321153707, 0.0068127753436919925, 0.0068127754348308017, 0.0068127756232136865, 0.0068127759418006723, 0.0068127764280646198, 0.0068127771242168043, 0.0068127780774638732, 0.0068127793402987628, 0.0068127809708285261, 0.0068127830331424569, 0.0068127855977243613, 0.0068127887419133981, 0.0068127925504185118, 0.0068127971158921741, 0.0068128025395700047, 0.0068128089319836674, 0.0068128164137555786, 0.0068128251164851182, 0.0068128351837374659, 0.0068128467721477078, 0.0068128600526548835, 0.0068128752118826515, 0.0068128924536858268, 0.0068129120008850533, 0.0068129340972152199, 0.0068129590095173239, 0.0068129870302082365, 0.0068130184800684413, 0.0068130537113944003, 0.0068130931115701569, 0.0068131371071220564, 0.0068131861683317129, 0.006813240814495667, 0.0068133016199362958, 0.0068133692208878216, 0.0068134443234047666, 0.006813527712468511, 0.0068136202625022901, 0.0068137229495472745, 0.0068138368654043031, 0.0068139632341100466, 0.0068141034311956679, 0.006814259006274922, 0.0068144317096321414, 0.0068146235236359381, 0.0068148367000004728, 0.0068150738041655194, 0.0068153377683849185, 0.0068156319555225196, 0.0068159602360843476, 0.006816327081705798, 0.0068167376792178961, 0.0068171980706130657, 0.0068177153258250182, 0.00681829775737879, 0.0068189551888702292, 0.0068196992932066085, 0.0068205440220314778, 0.0068215061554295813, 0.0068226060118525963, 0.0068238683737249298, 0.006825323706691996, 0.0068270097835734424, 0.0068289738735294739, 0.0068312757320573916, 0.0068339917436255494, 0.0068372207521023732, 0.0068410924098502458, 0.0068457793648834279, 0.0068515154343209393, 0.006858623360816718, 0.0068675583653311891, 0.0068789786170152922, 0.0068938633445749962, 0.0069137190475106886, 0.0069409571763487856, 0.0069796263569036447, 0.0070369329014904995, 0.0071266763570978159, 0.0072778789769749512, 0.0075596035265540129, 0.0081658383050501882, 0.009768015415682979, 0.014714566592939174, 0.017386004469545146, 0.011072049174345421, 0.0086620318811645534, 0.0078054999583640769, 0.007426077604372615, 0.0072281377634140376, 0.0071124645989418273, 0.0070391274314619322, 0.0069897124885713209, 0.0069548116496447746, 0.0069292216169843934, 0.0069098779613593342, 0.00689488153940489, 0.0068830047339658836, 0.0068734254255144178, 0.006865576214041459, 0.006859055205740293, 0.006853571238242164, 0.0068489091523625924, 0.0068449071447474735, 0.0068414416265767343, 0.006838416873771797, 0.0068357578106159455, 0.0068334048873978405, 0.0068313103851472433, 0.006829435710394142, 0.0068277493879735224, 0.0068262255533779129, 0.0068248428075282728, 0.0068235833378212799, 0.0068224322371240338, 0.0068213769715398291, 0.006820406961137981, 0.0068195132472924974, 0.0068186882270361918, 0.0068179254397281288, 0.0068172193949081403, 0.0068165654328518491, 0.0068148796726170344, 0.006813554591319727, 0.0068125506308929617, 0.0068118571173500005, 0.0068114893593168163, 0.0068114895543902616, 0.006811931285354113, 0.0068129281575987615, 0.0068146479413578667, 0.0068173346592691987, 0.0068213426667847942, 0.0068271892860682949, 0.0068356365142821611, 0.0068478184214575809, 0.0068654395677034937, 0.0068910798700835638, 0.0069286446035808427, 0.0069839632096247873, 0.0070653693127381368, 0.0071835335320316242, 0.0073484190302808812, 0.0075590759020326788, 0.007783428483126369, 0.0079433119470616268, 0.0079497567142686153, 0.0077905081049023141, 0.0075521718855538966, 0.0073320884716193187, 0.0071718730033955048, 0.0070684788449209349, 0.0070049801645606716, 0.0069662222489171102, 0.0069420902916044721, 0.0069265319680923898, 0.0069160674165843145, 0.0069087095991619933, 0.0069033119778034672, 0.0068991994635481078, 0.0068959639992031843, 0.0068933513633528997, 0.0068911978345922104, 0.0068893941825500958, 0.0068878648033503711, 0.0068865553798503221, 0.0068854254273302273, 0.0068844436931712076, 0.0068835852570982127, 0.0068828296652536161, 0.0068821597055580266, 0.0068815605889120486, 0.0068810193923419726, 0.0068805246744523289, 0.0068800662062507636, 0.0068796347804527215, 0.0068792220748661913, 0.0068788205533810405, 0.0068784233932083425, 0.0068780244303925245, 0.0068776181178971151, 0.0068771994921404496, 0.0068767641449772807, 0.0068763081989400617, 0.0068758282841675416, 0.0068753215159192207, 0.0068747854719421256, 0.0068742181692455981, 0.006873618040067528, 0.0068729839069920379, 0.0068723149573124837, 0.0068716107168303254, 0.0068708710233453749, 0.0068700960001305779, 0.0068692860296989521, 0.0068684417281661466, 0.0068675639204927048, 0.0068666536168598309, 0.0068657119903940576, 0.0068647403564134858, 0.0068637401533231729, 0.0068627129252425865, 0.0068616603064051438, 0.0068605840073304759, 0.0068594858027345891, 0.0068583675211127196, 0.0068572310359040741, 0.0068560782581272503, 0.0068549111303593145, 0.0068537316219205412, 0.0068525417251194022, 0.006851343452408943, 0.0068501388343050621, 0.0068489299179190577, 0.0068477187659609752, 0.0068465074560758775, 0.0068452980803821529, 0.006844092745089049, 0.006842893570079174, 0.006841702688351224, 0.0068405222452277287, 0.0068393543972427584, 0.0068382013106348576, 0.0068370651593810073, 0.0068359481227182597, 0.006834852382110632, 0.0068337801176302755, 0.006832733503733159, 0.0068317147044214223, 0.0068307258677962647, 0.0068297691200172352, 0.0068288465586956691, 0.0068279602457621182, 0.0068271121998589764, 0.0068263043883209674, 0.0068255387188167213, 0.0068248170307345073, 0.0068241410864040364, 0.0068235125622537725, 0.0068229330400092448, 0.0068224039980422872, 0.0068219268029835545, 0.0068215027017111416, 0.0068211328138263853, 0.0068208181247240568, 0.0068205594793580189, 0.0068203575767949737, 0.0068202129656388041, 0.0068201260403956626, 0.0068200970388361138, 0.0068201163742255292, 0.0068201743396043499, 0.0068202708127449059, 0.0068204055904013865, 0.006820578389004398, 0.0068207888456216902, 0.0068210365191734993, 0.0068213208918879963, 0.0068216413709794249, 0.0068219972905289453, 0.0068223879135457495, 0.0068228124341839528, 0.0068232699800889821, 0.0068237596148456175, 0.0068242803404988282, 0.00682483110011758, 0.0068254107803715118, 0.0068260182140901758, 0.0068266521827748308, 0.0068273114190335145, 0.0068279946089109689, 0.0068287003940865326, 0.0068294273739146899, 0.0068301741072852532, 0.0068309391142824718, 0.0068317208776253538, 0.0068325178438746557, 0.0068333284243958037, 0.006834150996070939, 0.0068349839017580937, 0.0068358254505002788, 0.0068366739174931081, 0.0068375275438255665, 0.0068383845360152403, 0.0068392430653667251, 0.0068401012671898348, 0.0068409572399228263, 0.0068418090442150777, 0.0068426547020335, 0.0068434921958672977, 0.0068443194681164689, 0.0068451344207605099, 0.0068459349154148339, 0.006846718773893385, 0.0068474837794060828, 0.0068482276785290465, 0.0068489481840931345, 0.006849642979141605, 0.0068503097221101596, 0.0068509460533810332, 0.0068515496033566114, 0.0068521180021859883, 0.0068526488912595057, 0.0068531399365600225, 0.0068535888439254181, 0.0068539933762337612, 0.0068543513724703157, 0.0068546607685746634, 0.0068549196198972621, 0.0068551261250188377, 0.0068552786506055948, 0.0068553757568908264, 0.0068554162232924449, 0.006855399073600949, 0.0068553236001074186, 0.0068551893859916668, 0.0068549963252616608, 0.0068547446395310005, 0.0068544348909459129, 0.0068540679906290937, 0.0068536452020962202, 0.0068531681392205394, 0.0068526387584694429, 0.0068520593453082314, 0.006851432494853797, 0.0068507610870554613, 0.0068500482568719023, 0.0068492973600914253, 0.0068485119355980294, 0.0068476956650085257, 0.0068468523306901763, 0.0068459857732084657, 0.0068450998492502338, 0.00684419839101878, 0.0068432851680093262, 0.0068423638519516747, 0.0068414379855599164, 0.0068405109555661602, 0.0068395859703455656, 0.0068386660422725893, 0.0068377539747915507, 0.006836852354044208, 0.0068359635447784459, 0.0068350896901679462, 0.0068342327151039058, 0.0068333943324762276, 0.0068325760519412941, 0.0068317791906736033, 0.0068310048856161498, 0.0068302541067755624, 0.0068295276711492223, 0.0068288262569193249, 0.006828150417600108, 0.0068275005958766018, 0.006826877136924015, 0.006826280301044956, 0.0068257102755055303, 0.0068251671854905925, 0.0068246511041324502, 0.0068241620615962957, 0.0068237000532293621, 0.0068232650467999678, 0.0068228569888673816, 0.0068224758103342777, 0.0068221214312411795, 0.0068217937648669021, 0.006821492721201204, 0.0068212182098561884, 0.0068209701424815708, 0.0068207484347463923, 0.0068205530079459504, 0.006820383790288668, 0.006820240717912312, 0.0068201237356739991, 0.0068200327977526636, 0.0068199678680968268, 0.0068199289207448053, 0.006819915940038352], [0.0070650405609157495, 0.0070650681935244854, 0.0070651510553329348, 0.0070652890386038759, 0.0070654819648265626, 0.0070657295862856092, 0.0070660315882415314, 0.0070663875917074516, 0.0070667971568024526, 0.007067259786658584, 0.007067774931855386, 0.0070683419953531668, 0.0070689603378941441, 0.0070696292838391649, 0.0070703481274068383, 0.0070711161392816128, 0.0070719325735579177, 0.0070727966749886701, 0.0070737076865080763, 0.0070746648570015214, 0.0070756674492982426, 0.0070767147483667362, 0.0070778060696972261, 0.0070789407678610574, 0.0070801182452429508, 0.0070813379609488735, 0.0070825994399001963, 0.0070839022821332746, 0.0070852461723335093, 0.0070866308896438577, 0.0070880563177999935, 0.0070895224556587382, 0.00709102942820231, 0.0070925774981197773, 0.0070941670780890866, 0.0070957987439087388, 0.0070974732486589337, 0.0070991915381087489, 0.0071009547676304232, 0.0071027643209357044, 0.0071046218310154233, 0.0071065292037447592, 0.0071084886447172063, 0.0071105026899952973, 0.0071125742416220019, 0.0071147066089319623, 0.0071169035569473267, 0.0071191693634524112, 0.0071215088867336096, 0.0071239276464689551, 0.0071264319208867912, 0.0071290288641261447, 0.0071317266487766207, 0.0071345346399257136, 0.0071374636087944377, 0.0071405259963313586, 0.0071437362401441436, 0.0071471111821329626, 0.0071506705795112225, 0.0071544377490716784, 0.0071584403843247529, 0.0071627115985944696, 0.0071672912659345948, 0.0071722277582858601, 0.007177580215416637, 0.0071834215397798386, 0.0071898423908616739, 0.0071969565780849731, 0.0072049084429645993, 0.0072138831224053167, 0.0072241210692236572, 0.0072359390038414049, 0.0072497608223240969, 0.0072661643453128151, 0.0072859540563695625, 0.0073102779916503777, 0.0073408226932764522, 0.0073801527472082424, 0.0074323331763967758, 0.0075041427065820239, 0.0076076244140847425, 0.0077659836448256163, 0.008029029657952904, 0.0085210869653551454, 0.0096316255772682553, 0.013154194345606126, 0.036835698587351542, 0.044721554836672034, 0.012633872707981378, 0.0089195866441399117, 0.0079227210883826768, 0.0075323987137074534, 0.007345253562808087, 0.0072434958986786627, 0.0071832296686314343, 0.0071452683842453341, 0.0071202238518076845, 0.0071030984785796711, 0.007091052209486466, 0.0070823845839563301, 0.00707603307555843, 0.0070713097451680614, 0.0070677555820132746, 0.0070650563189042625, 0.0070629919184184596, 0.0070614052662922181, 0.0070601822138433986, 0.0070592385358736855, 0.0070585112184519683, 0.00705795252387619, 0.0070575258757474045, 0.0070572029602842231, 0.007056961654751435, 0.0070567845274318551, 0.0070566577383547411, 0.0070565702248345675, 0.0070565130919594187, 0.0070564791522899706, 0.0070564625753913269, 0.0070564586190687431, 0.0070564634220108583, 0.007056473843064179, 0.007056487336298242, 0.0070565018538595913, 0.0070565157706847306, 0.0070565278266746289, 0.0070565370830837637, 0.0070565428907575171, 0.0070565448685427166, 0.0070565445955414535, 0.0070565437823454542, 0.007056542446472169, 0.007056540617432959, 0.007056538337213699, 0.0070565356609622243, 0.0070565326578977241, 0.0070565294124623626, 0.0070565260257410573, 0.0070565226171820563, 0.0070565193266584709, 0.0070565163169200203, 0.0070565137764948211, 0.0070565119231139634, 0.0070565110077469356, 0.0070565113193547472, 0.0070565131904904528, 0.0070565170039048235, 0.0070565232003495524, 0.0070565322878132228, 0.0070565448524787262, 0.0070565615717577846, 0.0070565832298420759, 0.0070566107363172629, 0.0070566451485210525, 0.0070566876984995783, 0.007056739825638556, 0.0070568032163332538, 0.0070568798524357004, 0.0070569720707082508, 0.0070570826361602236, 0.007057214833005713, 0.0070573725781350148, 0.0070575605635524799, 0.0070577844363613786, 0.0070580510278052868, 0.0070583686469483037, 0.007058747460300413, 0.0070591999868325102, 0.007059741749539045, 0.0070603921417910359, 0.0070611755919998123, 0.0070621231480940648, 0.0070632746613504809, 0.0070646818394373995, 0.0070664125819231201, 0.0070685572442043786, 0.00707123786270658, 0.0070746220349726021, 0.0070789443110685383, 0.0070845400690578604, 0.0070919008484584519, 0.0071017680161587909, 0.0071152980405956795, 0.0071343687466015699, 0.0071621810477877842, 0.0072045287898855051, 0.0072727283889293323, 0.0073911980939523891, 0.0076203063187616545, 0.008141750483376356, 0.0096980467790835582, 0.017095858053703415, 0.02914830218007286, 0.012567560245967039, 0.0091461049742368183, 0.0081544176026118759, 0.0077434270169701716, 0.0075341054368611186, 0.0074126603283445145, 0.0073356288861900635, 0.0072835069835796816, 0.0072464741347862682, 0.0072191398416909447, 0.0071983397617997125, 0.0071821138448546823, 0.0071691934515594417, 0.0071587268357227027, 0.0071501241682151726, 0.0071429660299543998, 0.0071369472683266563, 0.0071318413894853301, 0.0071274773116907983, 0.007123723796593563, 0.0071204787838171921, 0.0071176619351679222, 0.0071152093267610912, 0.0071130696074144335, 0.0071112011761088022, 0.0071095700793042263, 0.00710814842427722, 0.0071069131672937668, 0.007105845177301973, 0.0071049285042571759, 0.0071041498007775802, 0.0071034978595013142, 0.0071029632381800689, 0.0071025379514539008, 0.0071022152132486586, 0.0071019892173939331, 0.0071018549467733554, 0.0071018080033711248, 0.0071018444531721408, 0.0071019606811598005, 0.0071021532527501558, 0.0071024187789957751, 0.0071027537838584728, 0.0071031545728443878, 0.0071036171033581471, 0.0071041368582872638, 0.0071047087255740856, 0.0071053268878411699, 0.0071059847274441449, 0.0071066747535317391, 0.0071073885586518401, 0.0071081168129772804, 0.0071088493041330915, 0.0071095750296896335, 0.0071102823474796266, 0.0071109591859202905, 0.0071115933125181288, 0.0071121726539127208, 0.0071126856555696156, 0.0071131216641228253, 0.0071134713110716534, 0.0071137268737531617, 0.0071138825888362525, 0.0071139348953834745, 0.0071138825888362482, 0.0071137268737531617, 0.007113471311071656, 0.0071131216641228245, 0.0071126856555696165, 0.0071121726539127173, 0.0071115933125181271, 0.0071109591859202922, 0.0071102823474796248, 0.0071095750296896335, 0.0071088493041330924, 0.0071081168129772769, 0.0071073885586518393, 0.0071066747535317382, 0.0071059847274441475, 0.007105326887841169, 0.0071047087255740864, 0.0071041368582872595, 0.007103617103358148, 0.0071031545728443869, 0.0071027537838584702, 0.0071024187789957768, 0.0071021532527501549, 0.0071019606811598005, 0.0071018444531721417, 0.0071018080033711248, 0.0071018549467733562, 0.0071019892173939305, 0.007102215213248656, 0.0071025379514539034, 0.0071029632381800724, 0.0071034978595013168, 0.007104149800777582, 0.0071049285042571776, 0.007105845177301973, 0.0071069131672937633, 0.0071081484242772148, 0.0071095700793042263, 0.0071112011761088039, 0.0071130696074144352, 0.0071152093267610921, 0.0071176619351679196, 0.0071204787838171938, 0.007123723796593563, 0.0071274773116907948, 0.0071318413894853267, 0.007136947268326652, 0.0071429660299544059, 0.0071501241682151604, 0.0071587268357226957, 0.0071691934515594434, 0.0071821138448546476, 0.0071983397617996926, 0.0072191398416909152, 0.0072464741347862179, 0.0072835069835796634, 0.0073356288861900106, 0.00741266032834442, 0.0075341054368609252, 0.0077434270169698853, 0.0081544176026110676, 0.0091461049742366709, 0.012567560245953967, 0.029148302180055503, 0.017095858053696827, 0.0096980467790831262, 0.008141750483376637, 0.007620306318761292, 0.0073911980939523718, 0.0072727283889292265, 0.0072045287898854296, 0.0071621810477877738, 0.0071343687466015717, 0.0071152980405956674, 0.0071017680161587961, 0.0070919008484584536, 0.0070845400690578543, 0.0070789443110685383, 0.0070746220349726004, 0.0070712378627065808, 0.0070685572442043786, 0.0070664125819231236, 0.0070646818394373995, 0.0070632746613504818, 0.0070621231480940639, 0.0070611755919998123, 0.0070603921417910342, 0.0070597417495390424, 0.0070591999868325102, 0.0070587474603004139, 0.007058368646948302, 0.0070580510278052868, 0.0070577844363613768, 0.0070575605635524799, 0.0070573725781350157, 0.0070572148330057148, 0.0070570826361602218, 0.0070569720707082499, 0.0070568798524357004, 0.0070568032163332546, 0.0070567398256385595, 0.0070566876984995783, 0.0070566451485210508, 0.007056610736317262, 0.0070565832298420741, 0.0070565615717577846, 0.0070565448524787288, 0.0070565322878132185, 0.0070565232003495532, 0.0070565170039048252, 0.0070565131904904519, 0.0070565113193547481, 0.0070565110077469356, 0.0070565119231139643, 0.0070565137764948211, 0.0070565163169200237, 0.0070565193266584727, 0.0070565226171820546, 0.0070565260257410573, 0.0070565294124623609, 0.0070565326578977241, 0.0070565356609622243, 0.0070565383372136982, 0.007056540617432959, 0.007056542446472169, 0.007056543782345456, 0.0070565445955414544, 0.0070565448685427148, 0.0070565447319360184, 0.0070565443237419912, 0.0070565436488481265, 0.0070565427154312115, 0.0070565415350041056, 0.0070565401224818251, 0.0070565384962674995, 0.0070565366783590473, 0.0070565346944775637, 0.0070565325742185415, 0.0070565303512274587, 0.0070565280634013296, 0.0070565257531182137, 0.0070565234674969321, 0.0070565212586895364, 0.0070565191842095632, 0.0070565173072993951, 0.0070565156973406064, 0.0070565144303116915, 0.0070565135892981506, 0.0070565132650606517, 0.0070565135566677253, 0.0070565145722003755, 0.0070565164295370419, 0.0070565192572285083, 0.0070565231954737434, 0.007056528397209297, 0.0070565350293265924, 0.0070565432740337585, 0.0070565533303810386, 0.0070565654159717404, 0.0070565797688841069, 0.0070565966498335421, 0.0070566163446092048, 0.0070566391668247432, 0.0070566654610292262, 0.0070566956062324895, 0.0070567300199079839, 0.0070567691625476742, 0.0070568135428564624, 0.0070568637236898, 0.0070569203288571311, 0.0070569840509371266, 0.0070570556602788451, 0.0070571360153971977, 0.0070572260750131318, 0.0070573269120405083, 0.0070574397298851241, 0.0070575658815002721, 0.0070577068917410521, 0.0070578644836824106, 0.007058040609719804, 0.0070582374884661349, 0.0070584576487058952, 0.0070587039819834108, 0.0070589798058085275, 0.0070592889399885995, 0.0070596357992805843, 0.0070600255064553578, 0.0070604640310538598, 0.0070609583606966835, 0.0070615167139341508, 0.007062148806505044, 0.0070628661868144009, 0.0070636826618902648, 0.0070646148426926928, 0.007065682848408794, 0.0070669112247638893, 0.0070683301537017565, 0.0070699770646181874, 0.007071898806367367, 0.0070741546137332171, 0.0070768202172375588, 0.0070799936268676443, 0.0070838034132870613, 0.0070884207939492178, 0.0070940776521126276, 0.0071010940501411947, 0.0071099213865765537, 0.0071212121973231622, 0.0071359370874511238, 0.0071555887565531787, 0.0071825553893793293, 0.0072208438753808158, 0.0072775798354863461, 0.0073663918079762561, 0.0075158955765548263, 0.0077940366417111346, 0.0083911269892663638, 0.0099644823054950184, 0.014853429045937011, 0.01786330975906673, 0.011436077536148889, 0.0089480373923285315, 0.0080687306125557315, 0.0076808159167013161, 0.0074789486801416921, 0.0073611572925921537, 0.0072865434496672534, 0.007236292605602759, 0.0072008084925727226, 0.0071747904967393167, 0.0071551198394180443, 0.0071398650812912632, 0.0071277784084946196, 0.007118024520321278, 0.0071100270974146047, 0.0071033780205602658, 0.0070977816641798102, 0.007093019593464105, 0.0070889275509772197, 0.0070853800754266203, 0.0070822799905629966, 0.0070795510778723187, 0.0070771328763721579, 0.0070749769317069808, 0.0070730440504753788, 0.0070713022632095182, 0.0070697252944239251, 0.0070682914004985137, 0.0070669824777931812, 0.0070657833716365357, 0.0070646813362778499, 0.0070636656094642154, 0.0070627270748991767, 0.0070618579927020312, 0.0070610517829511714, 0.0070603028510234089, 0.0070583557653776923, 0.0070567923069240574, 0.007055560623238824, 0.0070546402936513619, 0.0070540379261530483, 0.0070537869119468308, 0.007053950826745147, 0.0070546307834519839, 0.0070559778134325277, 0.0070582122984108476, 0.0070616538116212019, 0.0070667667284427423, 0.0070742299730996135, 0.0070850435889061123, 0.0071006902756860692, 0.0071233743815601845, 0.0071563549752208652, 0.0072043446294858598, 0.0072737825292039857, 0.0073723345832303029, 0.007505998867542156, 0.0076711043865102498, 0.0078406872206384891, 0.007957533537914202, 0.0079614991135529122, 0.0078460763076155845, 0.0076706398461920929, 0.0075038283045676885, 0.0073782401080930704, 0.0072945413641869704, 0.0072416511026546972, 0.0072085517468375403, 0.0071874745258353277, 0.0071735971313061564, 0.0071640735928475315, 0.0071572474608175658, 0.0071521490158990677, 0.0071482006386130031, 0.0071450496569035746, 0.007142474209619153, 0.0071403299360431509, 0.007138519403544083, 0.0071369742827622467, 0.0071356447579870559, 0.0071344931085156951, 0.0071334897368952955, 0.0071326106595869226, 0.0071318358887388755, 0.0071311483678011206, 0.0071305332583157617, 0.0071299774538497217, 0.0071294692437039366, 0.0071289980771776056, 0.0071285543964166292, 0.0071281295166279674, 0.0071277155392636907, 0.0071273052881920037, 0.0071268922617904922, 0.0071264705958746311, 0.0071260350337528106, 0.0071255809006890792, 0.0071251040807879798, 0.0071246009948747668, 0.0071240685783802368, 0.0071235042585852115, 0.0071229059308555451, 0.0071222719337177146, 0.0071216010227964409, 0.0071208923437657704, 0.0071201454045584948, 0.007119360047140596, 0.0071185364191912945, 0.0071176749460398151, 0.0071167763032011595, 0.0071158413898288935, 0.0071148713033675056, 0.0071138673156431135, 0.0071128308505834783, 0.0071117634637080825, 0.0071106668234797929, 0.0071095426945624552, 0.0071083929229856842, 0.0071072194231794079, 0.0071060241668077923, 0.0071048091733042175, 0.007103576501987157, 0.0071023282456197049, 0.00710106652526363, 0.0070997934862712057, 0.0070985112952542187, 0.007097222137869205, 0.007095928217260023, 0.0070946317530035038, 0.0070933349804100133, 0.0070920401500384964, 0.0070907495272942113, 0.0070894653919867604, 0.0070881900377361903, 0.0070869257711253762, 0.0070856749105076547, 0.0070844397843899858, 0.0070832227293230266, 0.0070820260872413218, 0.0070808522022084179, 0.0070797034165340561, 0.007078582066242468, 0.0070774904758837669, 0.0070764309526926868, 0.007075405780111955, 0.0070744172107102292, 0.0070734674585373287, 0.0070725586909718566, 0.0070716930201282866, 0.0070708724939020752, 0.0070700990867417846, 0.0070693746902465368, 0.0070687011036953849, 0.0070680800246213839, 0.007067513039548068, 0.0070670016150084702, 0.0070665470889674249, 0.0070661506627659517, 0.0070658133937023613, 0.0070655361883582134, 0.0070653197967681389, 0.0070651648075217921, 0.0070650716438729194, 0.0070650405609157495, 0.0070650612839768109, 0.007065123409389187, 0.0070652268059907975, 0.0070653712556774176, 0.0070655564541452862, 0.0070657820119182204, 0.0070660474556470138, 0.0070663522296655007, 0.0070666956977847185, 0.0070670771453038, 0.0070674957812135843, 0.0070679507405667624, 0.0070684410869864796, 0.0070689658152835958, 0.0070695238541517288, 0.0070701140689082252, 0.0070707352642488241, 0.0070713861869836116, 0.0070720655287221761, 0.0070727719284766326, 0.0070735039751520902, 0.0070742602098958435, 0.0070750391282781728, 0.0070758391822801203, 0.0070766587820661189, 0.0070774962975225049, 0.0070783500595463728, 0.0070792183610733344, 0.0070800994578368885, 0.0070809915688573675, 0.0070818928766634868, 0.0070828015272558133, 0.0070837156298279892, 0.0070846332562685783, 0.0070855524404745919, 0.0070864711775160865, 0.0070873874227005626, 0.0070882990905958435, 0.0070892040540806757, 0.0070901001435034975, 0.0070909851460413762, 0.0070918568053631136, 0.0070927128217125098, 0.0070935508525394172, 0.0070943685138174228, 0.0070951633821968833, 0.0070959329981502943, 0.0070966748702726646, 0.0070973864809021781, 0.0070980652932246752, 0.0070987087600187775, 0.0070993143341854239, 0.0070998794811855575, 0.007100401693481302, 0.0071008785070388221, 0.0071013075199043308, 0.0071016864128080996, 0.0071020129716854157, 0.0071022851119285852, 0.0071025009041020288, 0.0071026586007653623, 0.0071027566639602123, 0.0071027937928290008, 0.0071027689507528061, 0.0071026813913255766, 0.0071025306824287898, 0.0071023167276398859, 0.0071020397842036787, 0.0071017004768236525, 0.007101299806591169, 0.0071008391544674304, 0.0071003202788632921, 0.0070997453070235049, 0.0070991167201079923, 0.0070984373320660335, 0.0070977102626097908, 0.0070969389048008823, 0.0070961268879559348, 0.0070952780367441355, 0.0070943963274813591, 0.0070934858427151287, 0.007092550725236459, 0.0070915951326482657, 0.0070906231935658239, 0.0070896389664279365, 0.0070886464017648112, 0.0070876493086088205, 0.0070866513255576687, 0.0070856558968157282, 0.0070846662533585571, 0.007083685399196361, 0.0070827161025609903, 0.0070817608917136676, 0.0070808220549695641, 0.0070799016444618333, 0.0070790014831214106, 0.0070781231743276829, 0.0070772681136859975, 0.0070764375024075891, 0.0070756323618015784, 0.007074853548433623, 0.0070741017695576175, 0.0070733775984824021, 0.0070726814895918809, 0.007072013792791868, 0.0070713747672088781, 0.0070707645940134801, 0.0070701833882832032, 0.0070696312098565929, 0.0070691080731613782, 0.0070686139560252005, 0.0070681488074980483, 0.0070677125547313653, 0.0070673051089705959, 0.0070669263707259277, 0.0070665762341910734, 0.0070662545909822086, 0.0070659613332694372, 0.0070656963563717114, 0.007065459560883139, 0.0070652508543946856, 0.0070650701528706516, 0.0070649173817336746, 0.0070647924767065313, 0.0070646953844527259, 0.007064626063051551, 0.0070645844823371412, 0.0070645706241242463], [0.0073155229365408168, 0.0073155525245228968, 0.007315641249934327, 0.0073157889975093678, 0.0073159955762649876, 0.0073162607211820939, 0.0073165840955422652, 0.0073169652939034432, 0.0073174038456937851, 0.0073178992193990685, 0.0073184508273158441, 0.0073190580308395798, 0.0073197201462549006, 0.0073204364509935451, 0.0073212061903246573, 0.0073220285844418902, 0.0073229028359123559, 0.0073238281374538089, 0.0073248036800082402, 0.0073258286610832345, 0.0073269022933355535, 0.0073280238133761229, 0.0073291924907803504, 0.0073304076372937878, 0.0073316686162297941, 0.0073329748520633174, 0.0073343258402336475, 0.0073357211571782781, 0.0073371604706309957, 0.0073386435502293089, 0.0073401702784899438, 0.0073417406622271371, 0.0073433548445061021, 0.0073450131172451815, 0.0073467159346045779, 0.0073484639273285182, 0.0073502579182420213, 0.0073520989391447425, 0.0073539882493944093, 0.0073559273565329993, 0.0073579180393833687, 0.007359962374135799, 0.0073620627640573859, 0.0073642219735985635, 0.007366443167847311, 0.0073687299585028796, 0.00737108645781914, 0.0073735173423193426, 0.0073760279285297803, 0.0073786242635473197, 0.0073813132339802644, 0.0073841026977319833, 0.0073870016442946582, 0.0073900203907719241, 0.0073931708228693075, 0.007396466692737841, 0.0073999239890469842, 0.0074035613993037484, 0.0074074008906574243, 0.0074114684438540907, 0.0074157949865352457, 0.0074204175880418386, 0.0074253810002845554, 0.0074307396611082606, 0.0074365603226043478, 0.0074429255343856325, 0.0074499383127431124, 0.0074577284801287608, 0.0074664613976968145, 0.0074763501915407499, 0.0074876731868346817, 0.007500799286368539, 0.0075162257827764197, 0.0075346361973062286, 0.0075569914364490669, 0.0075846784633123044, 0.007619762570915815, 0.007665435792942289, 0.0077268592174961313, 0.0078128548555880979, 0.0079395985167426859, 0.0081395837828520286, 0.0084866792913670455, 0.0091815165459335994, 0.010945143911041604, 0.018096931077016022, 0.083606238993092552, 0.021790047440973757, 0.010620010157554058, 0.0086165745340932316, 0.0079647106827199794, 0.0076834000525212894, 0.0075405574270936944, 0.0074599643969527583, 0.0074110234050285967, 0.0073796563914706147, 0.0073587122148104627, 0.0073442747402244924, 0.0073340688697927665, 0.0073267083396827207, 0.0073213146301585406, 0.007317312351678238, 0.0073143139382718979, 0.0073120519529803725, 0.0073103379261423981, 0.0073090365542684711, 0.0073080490913801956, 0.0073073024039588107, 0.0073067416062907184, 0.0073063250117287783, 0.0073060206130491911, 0.0073058035912687037, 0.0073056545279052542, 0.0073055581057943882, 0.0073055021540086203, 0.0073054769382918782, 0.0073054746287834448, 0.0073054888972126867, 0.0073055146096555786, 0.0073055475905499569, 0.0073055844403819249, 0.0073056223942057621, 0.0073056592115575136, 0.0073056930907802915, 0.0073057226025783056, 0.0073057466389502626, 0.007305764374656314, 0.0073057752391424936, 0.0073057788974516804, 0.0073057783730423702, 0.0073057768046140264, 0.0073057742066480131, 0.0073057706035570772, 0.0073057660301074287, 0.0073057605320224692, 0.0073057541667815584, 0.0073057470046316028, 0.0073057391298343502, 0.0073057306421780779, 0.0073057216587889525, 0.0073057123162854083, 0.0073057027733279918, 0.0073056932136284676, 0.0073056838494954101, 0.0073056749260096594, 0.0073056667259430762, 0.0073056595755582199, 0.0073056538514566253, 0.0073056499886802653, 0.0073056484903170037, 0.0073056499389182001, 0.0073056550101088186, 0.0073056644888614105, 0.0073056792890206839, 0.0073057004768123665, 0.0073057292992585888, 0.007305767218664919, 0.0073058159546594125, 0.0073058775356756242, 0.0073059543623124473, 0.0073060492857201041, 0.0073061657051173793, 0.0073063076898304893, 0.0073064801329878861, 0.0073066889463917909, 0.0073069413093859665, 0.0073072459891451525, 0.0073076137563137461, 0.0073080579292099128, 0.007308595093247423, 0.0073092460619311028, 0.0073100371751023182, 0.0073110020744421508, 0.0073121841644349563, 0.0073136400738951527, 0.0073154446042276947, 0.0073176979306285037, 0.0073205362924941945, 0.0073241482206581627, 0.0073287997938384208, 0.0073348750812977179, 0.0073429430428454002, 0.0073538724308810435, 0.0073690379962575662, 0.007390710316954428, 0.0074228404337564032, 0.0074727655931972102, 0.0075552953342564793, 0.0077038171231078346, 0.0080061247745160172, 0.0087522598046083575, 0.011320508104741998, 0.025372132423889311, 0.021392193227336962, 0.011116388861703505, 0.0089702427060472881, 0.0082480811861870736, 0.0079222011400585345, 0.0077472174698967637, 0.0076419928494827049, 0.0075735017520621208, 0.0075262433290684359, 0.0074921476452511548, 0.007466669009731421, 0.0074470833191165441, 0.0074316744697011106, 0.0074193159554784664, 0.0074092423700728213, 0.0074009182083207498, 0.0073939592705189738, 0.0073880838334178739, 0.0073830813409700756, 0.0073787917655894581, 0.0073750916666639301, 0.0073718845659221464, 0.0073690941721296001, 0.0073666595269159226, 0.007364531470963308, 0.0073626700335037614, 0.0073610424776650359, 0.0073596218183225115, 0.0073583856847275154, 0.0073573154375739707, 0.0073563954756956816, 0.0073556126852673317, 0.0073549559967884441, 0.0073544160239426958, 0.0073539847647608224, 0.0073536553501261084, 0.0073534218280635012, 0.0073532789748060687, 0.0073532221255930615, 0.007353247019708342, 0.0073533496555557073, 0.00735352615269479, 0.0073537726188088615, 0.0073540850206055873, 0.0073544590587070373, 0.0073548900476895912, 0.0073553728035896894, 0.00735590154237267, 0.0073564697940133482, 0.0073570703378697706, 0.007357695165821139, 0.0073583354800367349, 0.007358981732075975, 0.0073596237091287852, 0.0073602506714632587, 0.0073608515424995191, 0.0073614151494281284, 0.0073619305081320374, 0.0073623871416958492, 0.0073627754174766776, 0.0073630868841357971, 0.0073633145877695927, 0.0073634533458191032, 0.0073634999590724776, 0.0073634533458190989, 0.0073633145877695953, 0.0073630868841357971, 0.0073627754174766784, 0.0073623871416958475, 0.0073619305081320374, 0.0073614151494281284, 0.00736085154249952, 0.0073602506714632596, 0.0073596237091287844, 0.0073589817320759768, 0.0073583354800367332, 0.0073576951658211381, 0.0073570703378697732, 0.0073564697940133482, 0.0073559015423726665, 0.0073553728035896902, 0.0073548900476895877, 0.0073544590587070399, 0.0073540850206055865, 0.0073537726188088563, 0.0073535261526947865, 0.0073533496555557073, 0.0073532470197083446, 0.0073532221255930624, 0.0073532789748060705, 0.0073534218280635029, 0.0073536553501261084, 0.0073539847647608207, 0.0073544160239426984, 0.007354955996788445, 0.0073556126852673325, 0.0073563954756956807, 0.0073573154375739698, 0.007358385684727518, 0.0073596218183225081, 0.0073610424776650316, 0.0073626700335037605, 0.0073645314709633097, 0.00736665952691592, 0.0073690941721296019, 0.0073718845659221446, 0.0073750916666639344, 0.007378791765589459, 0.007383081340970073, 0.0073880838334178705, 0.0073939592705189712, 0.0074009182083207541, 0.0074092423700728056, 0.0074193159554784577, 0.0074316744697011106, 0.0074470833191165025, 0.0074666690097313958, 0.0074921476452511166, 0.0075262433290683691, 0.0075735017520620956, 0.0076419928494826381, 0.0077472174698966388, 0.0079222011400582569, 0.0082480811861866, 0.0089702427060457338, 0.011116388861703373, 0.021392193227297063, 0.025372132423909358, 0.011320508104739991, 0.0087522598046082013, 0.0080061247745161837, 0.00770381712310761, 0.0075552953342564707, 0.0074727655931971382, 0.0074228404337563477, 0.0073907103169544254, 0.0073690379962575688, 0.0073538724308810357, 0.0073429430428454071, 0.0073348750812977197, 0.0073287997938384156, 0.007324148220658161, 0.0073205362924941945, 0.0073176979306285072, 0.0073154446042276939, 0.0073136400738951519, 0.0073121841644349537, 0.0073110020744421508, 0.0073100371751023217, 0.0073092460619311028, 0.0073085950932474221, 0.007308057929209911, 0.0073076137563137453, 0.0073072459891451516, 0.0073069413093859691, 0.00730668894639179, 0.0073064801329878869, 0.0073063076898304902, 0.0073061657051173802, 0.0073060492857201058, 0.0073059543623124447, 0.0073058775356756233, 0.0073058159546594099, 0.007305767218664919, 0.0073057292992585931, 0.0073057004768123683, 0.0073056792890206822, 0.0073056644888614096, 0.0073056550101088143, 0.0073056499389181993, 0.0073056484903170028, 0.0073056499886802618, 0.0073056538514566253, 0.0073056595755582243, 0.0073056667259430745, 0.0073056749260096577, 0.007305683849495411, 0.0073056932136284702, 0.0073057027733279892, 0.00730571231628541, 0.0073057216587889542, 0.0073057306421780753, 0.0073057391298343502, 0.0073057470046316011, 0.0073057541667815576, 0.0073057605320224692, 0.0073057660301074287, 0.0073057706035570763, 0.0073057742066480131, 0.0073057768046140281, 0.0073057783730423702, 0.007305778897451677, 0.0073057786351685685, 0.0073057778497731679, 0.0073057765456355705, 0.0073057747300669766, 0.0073057724133615241, 0.0073057696088553812, 0.0073057663330036203, 0.0073057626054755928, 0.00730575844926965, 0.0073057538908482813, 0.0073057489602949286, 0.0073057436914939506, 0.0073057381223354551, 0.0073057322949469476, 0.0073057262559541227, 0.0073057200567733377, 0.0073057137539387761, 0.007305707409467615, 0.0073057010912671305, 0.0073056948735879691, 0.0073056888375286734, 0.0073056830715970376, 0.0073056776723346784, 0.0073056727450122429, 0.0073056684044034564, 0.007305664775647612, 0.0073056619952113436, 0.0073056602119621061, 0.0073056595883676705, 0.0073056603018379846, 0.0073056625462283014, 0.0073056665335252315, 0.0073056724957409318, 0.0073056806870444631, 0.0073056913861640127, 0.0073057048990993276, 0.0073057215621900049, 0.0073057417455931872, 0.0073057658572332797, 0.0073057943472974078, 0.0073058277133632643, 0.0073058665062620846, 0.0073059113367981666, 0.0073059628834696959, 0.007306021901363269, 0.0073060892324288236, 0.007306165817383122, 0.0073062527095411603, 0.0073063510909380279, 0.0073064622911817052, 0.0073065878095748566, 0.007306729341165101, 0.007306888807536268, 0.0073070683933464482, 0.0073072705898641196, 0.0073074982470674047, 0.0073077546362750887, 0.0073080435257998899, 0.0073083692727947749, 0.0073087369353552426, 0.0073091524101199859, 0.0073096226021836614, 0.0073101556362468291, 0.0073107611207898146, 0.0073114504809734865, 0.0073122373813829114, 0.0073131382672926726, 0.0073141730638210754, 0.0073153660876330634, 0.0073167472480235385, 0.0073183536468185645, 0.0073202317352274197, 0.0073224402597252981, 0.0073250543433981572, 0.0073281712295550638, 0.0073319185051820236, 0.0073364661018984374, 0.0073420441860412144, 0.0073489704708615943, 0.0073576930492230547, 0.0073688596513041228, 0.0073834336254341047, 0.0074028962143230966, 0.0074296165365054989, 0.0074675676928413976, 0.0075238106991394214, 0.0076118385091015579, 0.0077599473315100127, 0.0080352105191343112, 0.0086250884515713493, 0.010176007520260421, 0.015020206602621827, 0.018314428402829288, 0.011792024398204797, 0.0092352943845387375, 0.0083357957934959946, 0.007940271374280123, 0.0077348393595958577, 0.0076150994172699601, 0.0075392957802509599, 0.0074882563495455787, 0.0074522157578438613, 0.0074257852607028932, 0.0074057964860997569, 0.007390288306316971, 0.0073779942086361176, 0.0073680666053156721, 0.0073599208087297757, 0.0073531428230493023, 0.007347432785178876, 0.0073425691334045419, 0.0073383852556565387, 0.0073347538854320535, 0.0073315764401766723, 0.0073287755900048289, 0.0073262899842178571, 0.0073240704478100098, 0.0073220771974313089, 0.0073202777759616205, 0.0073186455012425756, 0.0073171582877661501, 0.0073157977423489607, 0.0073145484634677908, 0.0073133974936530552, 0.0073123338880999441, 0.0073113483723848587, 0.0073104330691331869, 0.0073095812785170574, 0.0073073541569144314, 0.0073055391770815645, 0.0073040706808669507, 0.0073029176891719174, 0.0073020777695113927, 0.0073015755442746482, 0.0073014649928609208, 0.0073018355981824216, 0.0073028231494752256, 0.0073046268619740319, 0.0073075356000845597, 0.007311967594286011, 0.0073185303211421079, 0.0073281102287991442, 0.0073420051572020417, 0.0073621129000098588, 0.0073911784047349018, 0.0074330543034536681, 0.0074927831557325599, 0.0075759479360726616, 0.0076860704688933509, 0.0078183651961142003, 0.0079504262508797198, 0.0080394324341420513, 0.0080432090348952889, 0.007958222175956816, 0.0078266039981851089, 0.0076981783165631333, 0.0075986335089192189, 0.0075303815894730008, 0.0074861166743149738, 0.007457750154793507, 0.0074392796441166316, 0.0074268533319796397, 0.0074181441423852492, 0.007411774264084482, 0.0074069265039944359, 0.0074031088590090898, 0.0074000179795740556, 0.007397461104167358, 0.0073953113843549965, 0.00739348207881429, 0.0073919114328052067, 0.0073905536644938872, 0.0073893734881582867, 0.0073883427186079613, 0.0073874381219653142, 0.0073866400269940085, 0.0073859314097366839, 0.0073852972787223307, 0.0073847242549720362, 0.0073842002807851283, 0.0073837144152484688, 0.0073832566890836577, 0.007382818000583405, 0.0073823900401824086, 0.0073819652349593722, 0.0073815367068546392, 0.0073810982400838521, 0.007380644254421859, 0.0073801697819002171, 0.0073796704451165847, 0.0073791424358629959, 0.0073785824931848236, 0.007377987880308713, 0.0073773563601423776, 0.0073766861692617369, 0.0073759759904681579, 0.0073752249241257686, 0.0073744324585797031, 0.007373598440014984, 0.0073727230421463683, 0.0073718067361357876, 0.0073708502611205696, 0.0073698545957061479, 0.0073688209307359561, 0.0073677506436018933, 0.007366645274305219, 0.0073655065034223307, 0.007364336132075518, 0.0073631360639572025, 0.0073619082894090578, 0.00736065487151529, 0.007359377934133598, 0.007358079651757137, 0.0073567622410772695, 0.0073554279540984837, 0.0073540790726442868, 0.0073527179040847063, 0.0073513467781121953, 0.0073499680443923779, 0.007348584070918626, 0.0073471972429044749, 0.007345809962054666, 0.0073444246460640811, 0.0073430437282030747, 0.0073416696568581723, 0.0073403048949078386, 0.0073389519188244243, 0.0073376132174050668, 0.0073362912900462327, 0.0073349886444888188, 0.0073337077939732223, 0.0073324512537562715, 0.0073312215369551355, 0.0073300211496961018, 0.0073288525855598023, 0.0073277183193277895, 0.0073266208000491197, 0.007325562443459185, 0.0073245456237967113, 0.0073235726650779541, 0.0073226458319000706, 0.007321767319857694, 0.0073209392456680409, 0.0073201636371097644, 0.007319442422889553, 0.0073187774225571076, 0.0073181703365944421, 0.0073176227368078866, 0.0073171360571519291, 0.0073167115851119173, 0.0073163504537681221, 0.0073160536346567745, 0.0073158219315339421, 0.007315655975136507, 0.007315556219020458, 0.0073155229365408168, 0.0073155451260272309, 0.0073156116475711283, 0.0073157223605870838, 0.0073158770312993938, 0.0073160753335354059, 0.0073163168498227788, 0.0073166010727776058, 0.0073169274067667271, 0.0073172951698243964, 0.0073177035958004073, 0.0073181518367140888, 0.0073186389652861675, 0.0073191639776184324, 0.0073197257959894107, 0.0073203232717330329, 0.0073209551881662279, 0.0073216202635309679, 0.0073223171539161603, 0.0073230444561250448, 0.0073238007104545911, 0.0073245844033543788, 0.007325393969934234, 0.0073262277962916171, 0.0073270842216324366, 0.0073279615401616108, 0.007328858002723114, 0.0073297718181728911, 0.0073307011544724177, 0.0073316441394951507, 0.0073325988615437565, 0.0073335633695814006, 0.0073345356731871888, 0.0073355137422527915, 0.0073364955064449573, 0.0073374788544672415, 0.0073384616331635174, 0.0073394416465155689, 0.0073404166545981047, 0.0073413843725656713, 0.0073423424697581239, 0.0073432885690238219, 0.0073442202463725797, 0.0073451350310833382, 0.0073460304064041932, 0.0073469038109944124, 0.0073477526412688019, 0.0073485742548136408, 0.00734936597504966, 0.0073501250973202151, 0.0073508488965809519, 0.007351534636860068, 0.0073521795826439144, 0.0073527810123212032, 0.0073533362337882035, 0.0073538426022770635, 0.0073542975404187793, 0.0073546985604910874, 0.0073550432887300897, 0.0073553294915033925, 0.007355555103053784, 0.0073557182544281164, 0.0073558173031096734, 0.0073558508627777578, 0.0073558178325306874, 0.0073557174248331282, 0.0073555491913917387, 0.0073553130461302312, 0.0073550092844315452, 0.0073546385978453125, 0.0073542020835261294, 0.0073537012477737935, 0.0073531380031884386, 0.007352514659129168, 0.0073518339053665425, 0.0073510987890396317, 0.0073503126852561629, 0.0073494792618980388, 0.0073486024394018917, 0.0073476863464638264, 0.0073467352727583828, 0.0073457536198570953, 0.0073447458515754115, 0.0073437164449678544, 0.0073426698431311131, 0.0073416104108683204, 0.0073405423941231875, 0.0073394698839188109, 0.0073383967853446015, 0.0073373267919358415, 0.0073362633655954081, 0.0073352097220245448, 0.0073341688214672209, 0.0073331433644357059, 0.0073321357919768244, 0.0073311482899600534, 0.0073301827968195211, 0.0073292410141600163, 0.0073283244196388989, 0.0073274342815576122, 0.0073265716746338519, 0.0073257374964744333, 0.0073249324843250663, 0.0073241572317334991, 0.0073234122048235215, 0.0073226977579366201, 0.0073220141484541552, 0.0073213615506639929, 0.0073207400685811998, 0.0073201497476718964, 0.0073195905854630356, 0.007319062541048341, 0.007318565543522882, 0.0073180994993957025, 0.0073176642990426454, 0.007317259822269934, 0.0073168859430646702, 0.0073165425336105625, 0.0073162294676476329, 0.0073159466232528766, 0.0073156938851156109, 0.0073154711463770099, 0.0073152783100981552, 0.0073151152904150224, 0.0073149820134326077, 0.0073148784179037866, 0.0073148044557316185, 0.0073147600923269803, 0.0073147453068462768], [0.0075552991877168036, 0.0075553306753667676, 0.0075554250973886997, 0.0075555823313598449, 0.0075558021744433386, 0.0075560843451807228, 0.0075564284859833903, 0.0075568341663054808, 0.0075573008864760656, 0.0075578280821645902, 0.007558415129450026, 0.0075590613504611858, 0.0075597660195533024, 0.0075605283699844948, 0.0075613476010547272, 0.0075622228856696829, 0.007563153378292717, 0.0075641382232494933, 0.0075651765633519439, 0.0075662675488115576, 0.0075674103464155682, 0.007568604148944595, 0.007569848184815561, 0.007571141727940405, 0.0075724841077982122, 0.0075738747197267378, 0.0075753130354487318, 0.0075767986138587833, 0.0075783311121083623, 0.0075799102970400926, 0.0075815360570372758, 0.0075832084143724089, 0.0075849275381580424, 0.0075866937580268698, 0.0075885075786950792, 0.00759036969559537, 0.0075922810118043806, 0.0075942426565356325, 0.007596256005525122, 0.0075983227037048282, 0.0076004446906432818, 0.0076026242293355129, 0.0076048639390526133, 0.0076071668331204548, 0.0076095363626962707, 0.0076119764678617549, 0.0076144916376663738, 0.0076170869811530758, 0.0076197683119045871, 0.0076225422492935523, 0.0076254163404453805, 0.007628399207984117, 0.0076315007300029073, 0.007634732260480768, 0.0076381069006925357, 0.0076416398352148482, 0.0076453487501766237, 0.0076492543568018878, 0.0076533810505636729, 0.0076577577461574573, 0.0076624189421042139, 0.0076674060877291138, 0.0076727693519755297, 0.007678569931746349, 0.0076848830930353147, 0.0076918022202367977, 0.0076994442725726343, 0.0077079572360315082, 0.0077175304557878478, 0.0077284092088144426, 0.0077409156552038462, 0.0077554796192938705, 0.0077726849315033165, 0.0077933411578553864, 0.0078185981913650466, 0.0078501360976341566, 0.0078904932261476997, 0.0079436622943381378, 0.0080162400605951131, 0.0081198131482307923, 0.0082763858213007312, 0.0085322922506055696, 0.0090001186959473116, 0.0100183775949385, 0.013037263700470652, 0.030538607890113423, 0.063909949771345495, 0.014592366241928872, 0.0097042924202944223, 0.0085050162527024516, 0.0080565047641255154, 0.0078476767546850797, 0.0077365592092696689, 0.0076718985104334116, 0.0076317924379206972, 0.0076057077266355414, 0.0075881152007442783, 0.0075759096899227218, 0.00756725116077061, 0.0075610005505360005, 0.0075564266770765465, 0.0075530455952748012, 0.0075505285003029266, 0.0075486468707161095, 0.0075472386996635193, 0.0075461871037273377, 0.0075454064277347844, 0.0075448330159719008, 0.0075444189601635587, 0.0075441277882332004, 0.0075439314434211672, 0.0075438081366214866, 0.0075437407992104142, 0.0075437159549156278, 0.0075437228880656211, 0.0075437530240859661, 0.0075437994637605156, 0.0075438566301056879, 0.0075439199985737814, 0.0075439858895315357, 0.0075440513077357973, 0.0075441138176274561, 0.007544171446205946, 0.0075442226073803593, 0.0075442660432586683, 0.0075443007789997357, 0.0075443260887299761, 0.0075443414707004582, 0.0075443466303910228, 0.0075443458790989413, 0.0075443436291246797, 0.0075443398922467285, 0.0075443346883391285, 0.0075443280457419635, 0.0075443200017913433, 0.0075443106035206998, 0.0075442999085491005, 0.007544287986176729, 0.0075442749187128351, 0.0075442608030672209, 0.007544245752643384, 0.007544229899579505, 0.0075442133973932495, 0.0075441964240982456, 0.007544179185874079, 0.0075441619213891583, 0.0075441449068968294, 0.007544128462251205, 0.0075441129580211428, 0.0075440988239206903, 0.0075440865588239318, 0.0075440767426940706, 0.0075440700508349048, 0.0075440672709713762, 0.0075440693237915201, 0.0075440772877424216, 0.0075440924290788736, 0.0075441162384299416, 0.0075441504754952086, 0.00754419722393645, 0.0075442589591290642, 0.007544338632232684, 0.0075444397751048015, 0.0075445666320177948, 0.0075447243260955837, 0.0075449190710736858, 0.0075451584427158967, 0.0075454517294510212, 0.007545810389210603, 0.0075462486500959339, 0.0075467843079854687, 0.0075474397970246793, 0.0075482436431188564, 0.0075492324625595943, 0.0075504537484834796, 0.0075519698151180099, 0.0075538634751060266, 0.0075562463644023112, 0.0075592714043557756, 0.007563151894394631, 0.0075681915386267059, 0.007574833094929726, 0.0075837399370493105, 0.0075959383285243726, 0.0076130774328112879, 0.0076379316092025562, 0.0076754383266172919, 0.0077350294162324201, 0.0078364541922136318, 0.0080265138001907235, 0.0084374459409036952, 0.0095578620502236363, 0.014164466259211875, 0.034165926762014159, 0.016036301276516972, 0.010329750141626928, 0.008907597809974693, 0.0083656341044843641, 0.0081027347513968721, 0.0079548724185544827, 0.0078630527656907284, 0.0078018603734397972, 0.0077588687076197357, 0.0077274056345372748, 0.0077036209325917109, 0.0076851619522187347, 0.0076705226633742626, 0.0076587010903720965, 0.0076490086096443251, 0.0076409586628532417, 0.0076341991554290719, 0.0076284699476478774, 0.0076235753075415335, 0.0076193655810558843, 0.0076157247061685359, 0.0076125615280180489, 0.0076098036432986739, 0.0076073929624970327, 0.0076052824606066202, 0.0076034337639227009, 0.0076018153339572399, 0.0076004010836603934, 0.0075991693104723416, 0.0075981018640983557, 0.0075971834898114392, 0.0075964013040377984, 0.0075957443702312812, 0.0075952033510786332, 0.0075947702188887065, 0.0075944380102788197, 0.0075942006144437448, 0.007594052586703314, 0.0075939889809071015, 0.0075940051957981763, 0.0075940968317303936, 0.0075942595552882094, 0.0075944889704453629, 0.0075947804959668498, 0.0075951292498344092, 0.0075955299425650618, 0.0075959767823743241, 0.0075964633961627809, 0.0075969827712002213, 0.0075975272230384919, 0.0075980883954755362, 0.0075986572981781159, 0.0075992243867188062, 0.0075997796881952595, 0.0076003129732431134, 0.0076008139721872097, 0.0076012726294767971, 0.0076016793867202679, 0.0076020254809865944, 0.0076023032420547403, 0.0076025063704519089, 0.0076026301778270144, 0.0076026717726914526, 0.0076026301778270118, 0.0076025063704519115, 0.0076023032420547403, 0.0076020254809865935, 0.007601679386720267, 0.0076012726294767937, 0.0076008139721872097, 0.0076003129732431151, 0.0075997796881952595, 0.0075992243867188062, 0.0075986572981781159, 0.0075980883954755345, 0.0075975272230384919, 0.0075969827712002221, 0.0075964633961627826, 0.007595976782374325, 0.0075955299425650609, 0.0075951292498344031, 0.0075947804959668524, 0.0075944889704453603, 0.0075942595552882051, 0.0075940968317303919, 0.0075940051957981763, 0.0075939889809071032, 0.0075940525867033148, 0.0075942006144437456, 0.0075944380102788214, 0.0075947702188887047, 0.0075952033510786306, 0.0075957443702312829, 0.0075964013040377984, 0.0075971834898114392, 0.0075981018640983583, 0.0075991693104723451, 0.0076004010836603951, 0.007601815333957233, 0.0076034337639226974, 0.0076052824606066202, 0.0076073929624970353, 0.0076098036432986748, 0.0076125615280180515, 0.0076157247061685342, 0.0076193655810558878, 0.0076235753075415361, 0.0076284699476478739, 0.0076341991554290693, 0.0076409586628532417, 0.0076490086096443321, 0.0076587010903720783, 0.007670522663374253, 0.0076851619522187347, 0.0077036209325916606, 0.0077274056345372445, 0.007758868707619688, 0.0078018603734397148, 0.0078630527656907007, 0.0079548724185543873, 0.0081027347513966952, 0.0083656341044839131, 0.008907597809973869, 0.010329750141623602, 0.016036301276515882, 0.034165926762027579, 0.01416446625921939, 0.0095578620502228488, 0.008437445940903612, 0.0080265138001908223, 0.0078364541922134739, 0.0077350294162324053, 0.0076754383266172408, 0.0076379316092025145, 0.007613077432811281, 0.0075959383285243735, 0.0075837399370493061, 0.0075748330949297294, 0.007568191538626705, 0.0075631518943946249, 0.0075592714043557765, 0.0075562463644023104, 0.0075538634751060284, 0.0075519698151180117, 0.0075504537484834839, 0.0075492324625595951, 0.0075482436431188547, 0.0075474397970246819, 0.0075467843079854687, 0.0075462486500959339, 0.0075458103892106013, 0.0075454517294510203, 0.0075451584427158975, 0.0075449190710736866, 0.0075447243260955846, 0.0075445666320177931, 0.0075444397751048024, 0.007544338632232684, 0.0075442589591290651, 0.0075441972239364483, 0.0075441504754952086, 0.007544116238429939, 0.0075440924290788728, 0.0075440772877424216, 0.0075440693237915192, 0.0075440672709713727, 0.0075440700508349031, 0.007544076742694068, 0.0075440865588239283, 0.0075440988239206912, 0.0075441129580211368, 0.0075441284622512076, 0.007544144906896832, 0.0075441619213891592, 0.0075441791858740807, 0.0075441964240982465, 0.0075442133973932504, 0.0075442298995795033, 0.0075442457526433849, 0.0075442608030672192, 0.0075442749187128325, 0.0075442879861767308, 0.0075442999085491014, 0.0075443106035207015, 0.0075443200017913433, 0.0075443280457419626, 0.0075443346883391294, 0.0075443398922467276, 0.0075443436291246805, 0.0075443458790989387, 0.0075443466303910219, 0.0075443462546911713, 0.0075443451288930803, 0.0075443432569085667, 0.0075443406452821646, 0.007544337303228627, 0.0075443332426858604, 0.0075443284783838251, 0.0075443230279299504, 0.0075443169119119016, 0.007544310154018536, 0.0075443027811803081, 0.0075442948237302299, 0.0075442863155870902, 0.0075442772944625102, 0.0075442678020939619, 0.007544257884505929, 0.0075442475923018885, 0.0075442369809900142, 0.0075442261113459847, 0.0075442150498167323, 0.0075442038689694357, 0.0075441926479906784, 0.007544181473241417, 0.0075441704388740519, 0.007544159647518916, 0.0075441492110483689, 0.0075441392514279618, 0.0075441299016654542, 0.0075441213068699426, 0.0075441136254352824, 0.0075441070303640433, 0.0075441017107506182, 0.0075440978734450468, 0.0075440957449224673, 0.0075440955733869254, 0.0075440976311430489, 0.0075441022172744107, 0.0075441096606739784, 0.0075441203234795874, 0.0075441346049766531, 0.0075441529460410434, 0.0075441758342082565, 0.0075442038094705411, 0.0075442374709226512, 0.0075442774843996136, 0.0075443245912778087, 0.0075443796186442534, 0.0075444434910805682, 0.0075445172443586919, 0.0075446020414082918, 0.0075446991909933134, 0.0075448101696318649, 0.0075449366474145373, 0.0075450805185282516, 0.0075452439374847774, 0.0075454293622972341, 0.0075456396061597455, 0.0075458778995865566, 0.0075461479654860926, 0.0075464541103215923, 0.007546801335397306, 0.0075471954734821819, 0.0075476433575457453, 0.007548153030480744, 0.0075487340075334908, 0.0075493976070581913, 0.0075501573705956263, 0.0075510296007994891, 0.0075520340563650576, 0.0075531948583267543, 0.0075545416841440241, 0.0075561113584262703, 0.0075579499975782132, 0.0075601159391878378, 0.0075626838006916039, 0.0075657501911975573, 0.0075694418894177006, 0.0075739277778647685, 0.0075794366323789801, 0.0075862842782441087, 0.0075949161722732922, 0.0076059762423437453, 0.0076204221391738504, 0.0076397261756629775, 0.0076662427089656728, 0.0077039188334626172, 0.007759766079914231, 0.0078471739340588726, 0.0079941953680078195, 0.0082672411386195115, 0.0088516089895409357, 0.010385491995636632, 0.01519616560322363, 0.018724649519770167, 0.012122559016125837, 0.0095068417318077431, 0.0085899525211206463, 0.0081878367782844616, 0.0079792955195821438, 0.0078578440919626659, 0.0077809885919885163, 0.0077292479131555389, 0.0076927099257547756, 0.0076659090689063167, 0.0076456335647535987, 0.0076298961991169813, 0.0076174139687168211, 0.0076073284130316159, 0.0075990474162649733, 0.0075921517513128142, 0.0075863377731766948, 0.0075813811229647182, 0.0075771130779105998, 0.0075734047503768229, 0.0075701562929234145, 0.007567289374742648, 0.0075647418430044994, 0.0075624638725035566, 0.0075604151473797638, 0.0075585627703006458, 0.0075568796921121843, 0.0075553435190153445, 0.0075539355970823856, 0.0075526403029291759, 0.0075514444893237578, 0.0075503370484431408, 0.0075493085653372018, 0.0075483510412015318, 0.0075458411017242854, 0.0075437785774958499, 0.0075420824785238077, 0.0075407105552019122, 0.0075396511620714063, 0.0075389204031936635, 0.0075385633183625697, 0.0075386588901497813, 0.0075393294311690996, 0.0075407556950190871, 0.0075432000188054554, 0.0075470410994669529, 0.0075528257298641682, 0.0075613448673548566, 0.0075737429693812077, 0.0075916677304899991, 0.007617453809706182, 0.0076542873504955649, 0.0077061708167428722, 0.0077772242621698649, 0.0078694093646152971, 0.0079776422180159092, 0.008083337618971528, 0.0081537779728911748, 0.0081584254559056088, 0.0080952977991179433, 0.0079951267602117199, 0.0078949728145085961, 0.0078152666664001967, 0.0077591703960175808, 0.0077218756831183852, 0.0076974044331975027, 0.0076810985080135539, 0.0076698751658537409, 0.0076618313460229438, 0.0076558222295131529, 0.0076511603026068265, 0.0076474271674216365, 0.0076443621377745123, 0.0076417976575094632, 0.0076396219941061837, 0.0076377575523512205, 0.0076361481134342756, 0.007634751205455018, 0.0076335334572228252, 0.0076324677116945084, 0.0076315311948048541, 0.0076307043290950198, 0.0076299699491715646, 0.0076293127728429425, 0.0076287190384254217, 0.0076281762523135663, 0.0076276730111376678, 0.0076271988751964222, 0.0076267442775429387, 0.0076263004579763408, 0.0076258594143514798, 0.0076254138657237975, 0.007624957223293467, 0.0076244835661446681, 0.007623987619540573, 0.0076234647341229004, 0.0076229108648325078, 0.0076223225487469922, 0.0076216968813440427, 0.0076210314909558345, 0.0076203245113887468, 0.0076195745528478843, 0.0076187806714318723, 0.0076179423375526117, 0.0076170594036915444, 0.0076161320719314758, 0.007615160861705543, 0.0076141465781867897, 0.0076130902817071952, 0.0076119932585482818, 0.0076108569933905131, 0.0076096831436493519, 0.007608473515865001, 0.0076072300442534468, 0.0076059547714702174, 0.0076046498315870932, 0.0076033174352366012, 0.007601959856840387, 0.0076005794238053299, 0.007599178507545927, 0.0075977595161720183, 0.0075963248886675603, 0.0075948770903777702, 0.0075934186096179588, 0.0075919519552174256, 0.0075904796548146459, 0.0075890042537257044, 0.0075875283142153652, 0.0075860544150094175, 0.0075845851508971026, 0.0075831231322835892, 0.0075816709845642595, 0.0075802313472047014, 0.0075788068724229243, 0.007577400223382995, 0.0075760140718226007, 0.0075746510950500069, 0.0075733139722596703, 0.0075720053801294554, 0.0075707279876762543, 0.0075694844503612635, 0.0075682774034503998, 0.00756710945464992, 0.0075659831760517271, 0.0075649010954374433, 0.0075638656870042073, 0.0075628793615888749, 0.0075619444564801897, 0.0075610632249203617, 0.0075602378254081316, 0.0075594703109245608, 0.0075587626182099981, 0.0075581165572261213, 0.0075575338009397095, 0.0075570158755654485, 0.0075565641514029318, 0.0075561798343980737, 0.0075558639585519803, 0.0075556173792897859, 0.0075554407678897605, 0.0075553346070579511, 0.0075552991877168036, 0.0075553228018512301, 0.0075553935943086098, 0.007555511415421802, 0.007555676016312015, 0.0075558870497313222, 0.0075561440712279574, 0.0075564465406204977, 0.0075567938237631454, 0.0075571851945810719, 0.0075576198373514493, 0.0075580968492029764, 0.0075586152428040662, 0.0075591739492077556, 0.0075597718208195476, 0.0075604076344529987, 0.0075610800944368181, 0.0075617878357368863, 0.0075625294270562516, 0.0075633033738766505, 0.0075641081214058393, 0.007564942057396184, 0.007565803514801731, 0.0075666907742429563, 0.007567602066251105, 0.0075685355732669447, 0.0075694894313723601, 0.0075704617317370708, 0.0075714505217675072, 0.0075724538059495907, 0.0075734695463831681, 0.0075744956630117034, 0.0075755300335580041, 0.0075765704931842481, 0.0075776148339027419, 0.0075786608037731471, 0.0075797061059316422, 0.0075807483975082164, 0.0075817852884997733, 0.0075828143406789505, 0.007583833066631563, 0.0075848389290289224, 0.0075858293402552429, 0.0075868016625242002, 0.0075877532086322851, 0.0075886812435096125, 0.007589582986740331, 0.0075904556162343312, 0.007591296273238686, 0.0075921020688801992, 0.0075928700924284493, 0.0075935974214607887, 0.0075942811340957064, 0.0075949183234372891, 0.0075955061143407184, 0.007596041682564952, 0.0075965222763245228, 0.0075969452401860411, 0.0075973080411781413, 0.0075976082968961722, 0.0075978438052872839, 0.0075980125756998961, 0.0075981128606777519, 0.0075981431878769899, 0.0075981023913906376, 0.0075979896416841185, 0.0075978044732845796, 0.0075975468093320529, 0.0075972169820975608, 0.0075968157486070798, 0.0075963443005838986, 0.0075958042680365307, 0.007595197715973446, 0.0075945271339156245, 0.0075937954180962264, 0.0075930058464742144, 0.00759216204693418, 0.0075912679592852325, 0.0075903277918941466, 0.0075893459739799904, 0.0075883271047475186, 0.0075872759006371335, 0.0075861971420138853, 0.0075850956206062487, 0.0075839760889383854, 0.0075828432128833521, 0.0075817015283075051, 0.0075805554025882042, 0.0075794090015803917, 0.0075782662623934821, 0.0075771308721304057, 0.0075760062525450792, 0.0075748955504007509, 0.0075738016331657739, 0.0075727270895682005, 0.0075716742344479667, 0.0075706451172937572, 0.0075696415338293386, 0.0075686650400171038, 0.0075677169678709079, 0.0075667984425111263, 0.007565910399947951, 0.0075650536051398883, 0.0075642286699390609, 0.0075634360706008756, 0.0075626761645991303, 0.0075619492065479117, 0.0075612553630863034, 0.0075605947266307889, 0.0075599673279426157, 0.0075593731474930944, 0.0075588121256394076, 0.0075582841716469598, 0.0075577891716124964, 0.0075573269953555892, 0.0075568975023551036, 0.0075565005468130461, 0.0075561359819304617, 0.0075558036634804171, 0.0075555034527610074, 0.0075552352190079875, 0.0075549988413418177, 0.0075547942103184051, 0.0075546212291464337, 0.0075544798146274482, 0.0075543698978677541, 0.0075542914248037454, 0.0075542443565749812, 0.0075542286697715677], [0.0077840318799512311, 0.0077840652706825794, 0.0077841653995902793, 0.0077843321371992239, 0.0077845652689945508, 0.0077848644973274751, 0.0077852294440643793, 0.0077856596539605727, 0.0077861545987353729, 0.007786713681820925, 0.0077873362437535622, 0.0077880215681733096, 0.0077887688883946796, 0.007789577394510451, 0.0077904462409889444, 0.0077913745547253388, 0.0077923614435082998, 0.0077934060048648612, 0.0077945073352487194, 0.0077956645395407939, 0.0077968767408348131, 0.0077981430904860748, 0.0077994627784073603, 0.0078008350436031739, 0.0078022591849413857, 0.0078037345721703386, 0.0078052606571999226, 0.007806836985676394, 0.0078084632088938457, 0.007810139096100021, 0.0078118645472706368, 0.0078136396064460364, 0.0078154644757457599, 0.0078173395302027701, 0.0078192653335892748, 0.0078212426554422586, 0.0078232724895396684, 0.007825356074130008, 0.0078274949142810423, 0.007829690806789559, 0.0078319458681885071, 0.007834262566503724, 0.0078366437575564784, 0.0078390927267876099, 0.0078416132378035606, 0.0078442095891270141, 0.0078468866809910873, 0.0078496500944672063, 0.007852506185790956, 0.0078554621994830383, 0.007858526404802656, 0.0078617082612820865, 0.007865018620659827, 0.0078684699745721932, 0.0078720767600390425, 0.0078758557383079523, 0.0078798264673101501, 0.0078840118942645858, 0.0078884391034645448, 0.007893140265894499, 0.0078981538533779826, 0.0079035262024260543, 0.0079093135448363924, 0.0079155846679982607, 0.0079224244350167023, 0.0079299384947101679, 0.007938259663012235, 0.0079475566914691109, 0.0079580465083142708, 0.0079700116153101786, 0.0079838253146354843, 0.007999989130605345, 0.0080191897671462019, 0.0080423883716074559, 0.0080709651916648726, 0.0081069632484077545, 0.0081535178075125003, 0.0082156551093121675, 0.0083018775650728228, 0.0084275729342896104, 0.0086231347002185647, 0.0089560957231892037, 0.0096038948609659478, 0.011170976611234442, 0.016925217425052347, 0.068490311505610094, 0.028367694075994147, 0.011812340907442261, 0.0092702620152680416, 0.0084974241190085235, 0.0081764719171499769, 0.0080176947972543846, 0.0079298841656685014, 0.0078774442404268789, 0.0078443329243765084, 0.0078225324226886654, 0.0078077101364507993, 0.0077973775610918304, 0.007790033601427335, 0.0077847356228231378, 0.0077808714543967997, 0.0077780320390828332, 0.0077759372597139172, 0.0077743911626730229, 0.0077732540784937023, 0.0077724247880267133, 0.0077718288402087842, 0.0077714107365505995, 0.0077711286032031944, 0.0077709504969266227, 0.0077708518044739211, 0.0077708133861580167, 0.0077708202337527354, 0.0077708604888985632, 0.0077709247174769132, 0.0077710053679153172, 0.0077710963631411507, 0.0077711927906713068, 0.0077712906654844593, 0.0077713867473956479, 0.0077714783996343587, 0.0077715634788738325, 0.0077716402495116507, 0.0077717073168574952, 0.0077717635752490802, 0.0077718081681334801, 0.0077718404579188169, 0.0077718600039921567, 0.0077718665477655383, 0.0077718655850512498, 0.0077718626999956882, 0.0077718579019242446, 0.0077718512065922717, 0.0077718426365095952, 0.0077718322214048174, 0.0077718199988398729, 0.0077718060149886319, 0.0077717903255974333, 0.0077717729971497704, 0.0077717541082625895, 0.0077717337513477629, 0.0077717120345794262, 0.007771689084216396, 0.0077716650473393595, 0.0077716400950747083, 0.0077716144263921469, 0.0077715882725816112, 0.0077715619025376321, 0.007771535629007109, 0.0077715098159909825, 0.007771484887533194, 0.0077714613381837921, 0.0077714397454903576, 0.0077714207849566737, 0.0077714052480149665, 0.0077713940636951013, 0.0077713883248494041, 0.0077713893200180703, 0.007771398572313102, 0.0077714178870812453, 0.0077714494106088244, 0.0077714957027958491, 0.0077715598276124447, 0.0077716454663403619, 0.0077717570602137045, 0.0077718999912752993, 0.0077720808133033611, 0.0077723075488970606, 0.0077725900747737647, 0.0077729406258294749, 0.0077733744607750435, 0.0077739107500865044, 0.0077745737735945364, 0.0077753945550870117, 0.0077764131226528786, 0.0077776816792319622, 0.0077792691202541019, 0.007781267583329793, 0.0077838021286928327, 0.0077870453580336039, 0.0077912400313584155, 0.0077967350288628626, 0.0078040443473900668, 0.0078139474353752861, 0.0078276671458704841, 0.0078472013821094515, 0.0078759789985898571, 0.0079202546237723773, 0.0079923567101726992, 0.0081191899629343596, 0.0083682730326349562, 0.0089472752030947816, 0.010735477037372175, 0.019743195183632781, 0.030147964229131623, 0.013216611892022135, 0.0099035826567183804, 0.0089153249343499937, 0.0084978035627656327, 0.0082823289340294443, 0.0081560791815050021, 0.0080753752073650428, 0.0080204163388372628, 0.0079811530714182701, 0.0079520331673174176, 0.0079297794068068032, 0.0079123521835265109, 0.0078984258501166634, 0.0078871070599654154, 0.0078777750786623111, 0.0078699871358615375, 0.0078634201560001307, 0.0078578336875993332, 0.007853045632412653, 0.0078489159477470281, 0.0078453354539444256, 0.0078422179916825471, 0.0078394948260056309, 0.0078371105872365194, 0.007835020282065279, 0.0078331870619179605, 0.0078315805350430718, 0.007830175474129281, 0.0078289508150455687, 0.0078278888720794536, 0.0078269747156128281, 0.0078261956725691126, 0.0078255409201733322, 0.0078250011508994473, 0.0078245682918175498, 0.0078242352654982143, 0.0078239957825995445, 0.0078238441585487817, 0.0078237751485451448, 0.0078237837966088648, 0.0078238652956946608, 0.0078240148570586244, 0.0078242275881716013, 0.0078244983795424834, 0.0078248218018619163, 0.0078251920158861135, 0.0078256026984123064, 0.0078260469884863359, 0.0078265174585387034, 0.0078270061153603368, 0.0078275044355877038, 0.0078280034395624681, 0.0078284938059885942, 0.0078289660277120719, 0.0078294106062567967, 0.0078298182796279776, 0.0078301802746056602, 0.0078304885716519359, 0.0078307361680529427, 0.0078309173234159847, 0.0078310277714730963, 0.0078310648834936953, 0.0078310277714730946, 0.0078309173234159847, 0.0078307361680529427, 0.0078304885716519359, 0.0078301802746056602, 0.0078298182796279741, 0.0078294106062567967, 0.0078289660277120719, 0.0078284938059885942, 0.0078280034395624663, 0.0078275044355877055, 0.0078270061153603316, 0.0078265174585387034, 0.0078260469884863376, 0.0078256026984123081, 0.0078251920158861118, 0.0078248218018619146, 0.0078244983795424765, 0.0078242275881716013, 0.0078240148570586279, 0.0078238652956946573, 0.0078237837966088613, 0.007823775148545143, 0.0078238441585487817, 0.0078239957825995445, 0.007824235265498216, 0.0078245682918175515, 0.0078250011508994438, 0.0078255409201733288, 0.0078261956725691161, 0.0078269747156128298, 0.0078278888720794536, 0.0078289508150455704, 0.0078301754741292827, 0.0078315805350430735, 0.0078331870619179553, 0.007835020282065272, 0.0078371105872365194, 0.0078394948260056326, 0.0078422179916825471, 0.0078453354539444256, 0.0078489159477470229, 0.0078530456324126599, 0.0078578336875993332, 0.0078634201560001272, 0.0078699871358615357, 0.0078777750786623059, 0.0078871070599654224, 0.0078984258501166409, 0.0079123521835264988, 0.0079297794068068014, 0.0079520331673173551, 0.0079811530714182285, 0.0080204163388372003, 0.0080753752073649352, 0.0081560791815049726, 0.0082823289340293073, 0.0084978035627653586, 0.0089153249343492877, 0.0099035826567167203, 0.013216611892013711, 0.030147964229129274, 0.019743195183668426, 0.010735477037374699, 0.0089472752030944208, 0.0083682730326348903, 0.0081191899629344203, 0.0079923567101726056, 0.0079202546237723687, 0.0078759789985898172, 0.0078472013821094186, 0.0078276671458704754, 0.0078139474353752878, 0.0078040443473900625, 0.0077967350288628669, 0.0077912400313584172, 0.0077870453580336004, 0.0077838021286928318, 0.0077812675833297939, 0.0077792691202541019, 0.0077776816792319648, 0.007776413122652882, 0.0077753945550870091, 0.0077745737735945364, 0.0077739107500865061, 0.0077733744607750427, 0.0077729406258294723, 0.0077725900747737621, 0.0077723075488970606, 0.0077720808133033619, 0.0077718999912752993, 0.0077717570602137079, 0.0077716454663403637, 0.0077715598276124473, 0.00777149570279585, 0.0077714494106088253, 0.0077714178870812427, 0.0077713985723131011, 0.0077713893200180694, 0.0077713883248494032, 0.0077713940636951013, 0.0077714052480149683, 0.0077714207849566719, 0.0077714397454903567, 0.0077714613381837886, 0.0077714848875331932, 0.0077715098159909842, 0.007771535629007109, 0.0077715619025376321, 0.0077715882725816138, 0.007771614426392146, 0.0077716400950747083, 0.0077716650473393595, 0.0077716890842163952, 0.0077717120345794236, 0.0077717337513477621, 0.0077717541082625895, 0.0077717729971497687, 0.0077717903255974342, 0.0077718060149886319, 0.0077718199988398712, 0.0077718322214048166, 0.0077718426365095926, 0.0077718512065922726, 0.0077718579019242437, 0.0077718626999956873, 0.0077718655850512516, 0.0077718665477655366, 0.0077718660663770884, 0.0077718646233764302, 0.0077718622222642661, 0.007771858868897418, 0.0077718545715224647, 0.0077718493408232602, 0.0077718431899827583, 0.0077718361347596451, 0.0077718281935805099, 0.0077718193876483224, 0.0077718097410682625, 0.0077717992809919964, 0.0077717880377817595, 0.0077717760451957562, 0.0077717633405967046, 0.0077717499651854087, 0.0077717359642617964, 0.0077717213875158992, 0.0077717062893517905, 0.0077716907292478083, 0.0077716747721568741, 0.0077716584889511971, 0.007771641956916259, 0.0077716252602996472, 0.007771608490921047, 0.0077715917488505306, 0.0077715751431634136, 0.0077715587927809637, 0.0077715428274076149, 0.0077715273885769817, 0.0077715126308206166, 0.007771498722975609, 0.0077714858496495814, 0.0077714742128643793, 0.007771464033903175, 0.0077714555553895313, 0.0077714490436315876, 0.0077714447912699425, 0.0077714431202742578, 0.0077714443853411398, 0.0077714489777549953, 0.0077714573297843204, 0.0077714699196989034, 0.0077714872775088914, 0.0077715099915455724, 0.0077715387160263169, 0.0077715741797738146, 0.007771617196293254, 0.0077716686754523076, 0.0077717296370592541, 0.0077718012266970041, 0.007771884734247907, 0.0077719816156405783, 0.0077720935184701625, 0.0077722223122947843, 0.0077723701246020776, 0.0077725393836827151, 0.007772732869958247, 0.0077729537777100786, 0.0077732057896731394, 0.0077734931676311774, 0.0077738208630342542, 0.00777419465282709, 0.0077746213072334607, 0.0077751087983331611, 0.007775666561103645, 0.0077763058224782329, 0.0077770400193368982, 0.0077778853338394188, 0.0077788613851028964, 0.0077799921313799108, 0.0077813070588649775, 0.007782842765566806, 0.0077846450969335634, 0.0077867720631814782, 0.0077892978815559885, 0.0077923186654048938, 0.0077959605698692492, 0.0078003916792616845, 0.0078058397267183046, 0.0078126191427487415, 0.0078211734658203032, 0.0078321438973170138, 0.0078464840590879211, 0.0078656600282969585, 0.0078920159607917886, 0.0079294811137195186, 0.0079850332170805331, 0.0080719911090712144, 0.008218241136047251, 0.0084897373772579009, 0.0090702770699422879, 0.010592345777635563, 0.015381739706644006, 0.019102475954284156, 0.012430690080010704, 0.0097638296101935727, 0.0088316648028501279, 0.0084236677146178381, 0.008212310327446827, 0.008089288390039074, 0.0080114570154951933, 0.007959059827609069, 0.0079220527198596742, 0.007894900453760843, 0.0078743515699916701, 0.0078583948379709542, 0.0078457319768334803, 0.0078354943966150691, 0.007827083026820664, 0.0078200737210060486, 0.0078141592640178937, 0.0078091126474347777, 0.0078047631432892348, 0.00780098031990018, 0.0077976631224737185, 0.0077947322630804415, 0.0077921248207533846, 0.0077897903469728918, 0.0077876880150332195, 0.0077857845051775964, 0.0077840524161420736, 0.0077824690585365204, 0.007781015528738641, 0.0077796759913099185, 0.0077784371181331838, 0.0077772876465616279, 0.0077762180288272016, 0.0077734130393175335, 0.0077710983973372592, 0.0077691757326932174, 0.0077675904649576327, 0.0077663212998763873, 0.0077653758448399113, 0.00776479062835335, 0.0077646350044386359, 0.0077650192521378685, 0.0077661079295914814, 0.0077681403863682262, 0.0077714613940021195, 0.0077765661561341876, 0.0077841652959597064, 0.0077952758667212936, 0.0078113411468873212, 0.0078343673833059999, 0.0078670217898970003, 0.0079125272803325548, 0.0079739689425004836, 0.0080523287685181598, 0.0081426385804960581, 0.0082294409745576058, 0.0082872560090847328, 0.008293320754160562, 0.0082464381425567546, 0.0081695164365927185, 0.0080906914326714513, 0.008026376226909545, 0.0079799731711649689, 0.0079483625435675144, 0.0079271149597487725, 0.0079126099189086412, 0.0079023810573869268, 0.0078948750559138196, 0.007889143500542331, 0.0078846099353706636, 0.0078809196651430484, 0.007877849133587838, 0.0078752527346202354, 0.0078730318372070441, 0.0078711166848170529, 0.0078694557083286883, 0.0078680091214093188, 0.0078667450124866155, 0.007865636911471692, 0.0078646622417798667, 0.0078638013137064533, 0.007863036655662542, 0.0078623525609277413, 0.0078617347750160223, 0.0078611702768410403, 0.0078606471237344031, 0.0078601543406557183, 0.0078596818403158207, 0.0078592203649782005, 0.0078587614433303209, 0.0078582973575774054, 0.007857821117135599, 0.0078573264361903247, 0.0078568077130592232, 0.0078562600098310703, 0.0078556790311854648, 0.0078550611016587578, 0.0078544031409243358, 0.0078537026369077997, 0.0078529576167651553, 0.007852166615917448, 0.007851328645461033, 0.007850443158361687, 0.0078495100148957761, 0.0078485294478267652, 0.0078475020278040535, 0.0078464286294484247, 0.0078453103985483292, 0.007844148720738877, 0.0078429451919743032, 0.007841701591039512, 0.0078404198542797662, 0.0078391020526627428, 0.007837750371226403, 0.0078363670909106595, 0.0078349545727219548, 0.0078335152441382713, 0.0078320515876277065, 0.0078305661311266258, 0.0078290614403030163, 0.0078275401124165613, 0.0078260047715783161, 0.0078244580652090286, 0.0078229026614954587, 0.0078213412476475109, 0.007819776528765348, 0.0078182112271340063, 0.0078166480817729971, 0.0078150898480796108, 0.0078135392974166031, 0.0078119992165077571, 0.0078104724065178903, 0.0078089616817072199, 0.0078074698675639764, 0.0078059997983328357, 0.0078045543138711053, 0.0078031362557788491, 0.007801748462763939, 0.0078003937652176732, 0.0077990749789918542, 0.0077977948983834798, 0.0077965562883484489, 0.0077953618759811442, 0.007794214341312145, 0.0077931163074909183, 0.0077920703304351271, 0.0077910788880415161, 0.0077901443690662061, 0.00778926906179323, 0.0077884551426200882, 0.0077877046646965022, 0.0077870195467585231, 0.0077864015623028675, 0.0077858523292471931, 0.0077853733002196069, 0.0077849657536156452, 0.0077846307855530591, 0.007784369302843889, 0.0077841820170901242, 0.0077840694399933822, 0.0077840318799512311, 0.0077840569212926022, 0.0077841319923519234, 0.0077842569344153808, 0.007784431483559561, 0.0077846552715432607, 0.007784927827040997, 0.0077852485772033578, 0.0077856168495254374, 0.0077860318740009954, 0.0077864927855364943, 0.0077869986265961619, 0.0077875483500464268, 0.0077881408221659298, 0.007788774825785094, 0.0077894490635181017, 0.0077901621610487314, 0.0077909126704312388, 0.0077916990733671015, 0.0077925197844189303, 0.0077933731541236185, 0.007794257471968092, 0.0077951709691928012, 0.0077961118213903044, 0.0077970781508690671, 0.0077980680287557677, 0.007799079476813164, 0.0078001104689547282, 0.0078011589324422492, 0.0078022227487576689, 0.0078032997541467568, 0.0078043877398385128, 0.0078054844519517691, 0.0078065875911085027, 0.0078076948117820734, 0.0078088037214184992, 0.0078099118793793334, 0.0078110167957661627, 0.0078121159301989488, 0.0078132066906337495, 0.0078142864323189655, 0.0078153524570038543, 0.0078164020125278677, 0.0078174322929342663, 0.0078184404392660709, 0.0078194235412163884, 0.0078203786398174501, 0.0078213027313631129, 0.0078221927727666774, 0.0078230456885591687, 0.0078238583797310933, 0.0078246277346122363, 0.0078253506419677377, 0.0078260240064635979, 0.0078266447666190658, 0.0078272099153167563, 0.0078277165228826159, 0.0078281617626768142, 0.0078285429390538147, 0.0078288575174558974, 0.0078291031563015572, 0.0078292777402208611, 0.0078293794140784009, 0.0078294066171152293, 0.007829358116440182, 0.00782923303901472, 0.007829030901210449, 0.0078287516349818155, 0.0078283956096942588, 0.0078279636486853748, 0.0078274570397168994, 0.0078268775385996678, 0.0078262273654403722, 0.0078255091931638873, 0.007824726128200149, 0.007823881683480206, 0.0078229797441498796, 0.0078220245266671391, 0.0078210205321875143, 0.0078199724953462984, 0.0078188853297057829, 0.007817764071241318, 0.0078166138212855622, 0.0078154396903351783, 0.0078142467440498447, 0.0078130399526466152, 0.0078118241447220644, 0.0078106039663316425, 0.0078093838459331703, 0.0078081679655715745, 0.0078069602384574482, 0.007805764292882978, 0.0078045834622336007, 0.0078034207806985051, 0.0078022789841614964, 0.0078011605156663383, 0.0078000675347971917, 0.0077990019302921557, 0.0077979653352122881, 0.0077969591440157342, 0.0077959845309312006, 0.0077950424690825283, 0.0077941337498816958, 0.0077932590022774589, 0.0077924187115171158, 0.0077916132371473315, 0.0077908428300440865, 0.0077901076483203827, 0.0077894077720123446, 0.0077887432164895085, 0.0077881139445730545, 0.0077875198773772001, 0.0077869609039138048, 0.0077864368895195057, 0.0077859476831787953, 0.0077854931238259062, 0.0077850730457144236, 0.0077846872829458093, 0.0077843356732482556, 0.0077840180610950485, 0.0077837343002478306, 0.0077834842558050076, 0.0077832678058296087, 0.0077830848426239463, 0.0077829352737113023, 0.0077828190225771414, 0.0077827360292143906, 0.0077826862505095649, 0.0077826696604981292], [0.0079995661023233369, 0.0079996013524411495, 0.0079997070572561235, 0.0079998830805595878, 0.0080001291966897738, 0.008000445092550738, 0.0080008303704187031, 0.0080012845515163075, 0.0080018070803301363, 0.008002397329642523, 0.0080030546062447791, 0.0080037781572956969, 0.0080045671772866183, 0.0080054208155728116, 0.0080063381844298325, 0.0080073183675935158, 0.0080083604292431731, 0.0080094634233894239, 0.0080106264036305021, 0.0080118484332449124, 0.0080131285955926373, 0.0080144660048028973, 0.0080158598167328655, 0.0080173092401895074, 0.0080188135484154394, 0.0080203720908494629, 0.0080219843051837682, 0.0080236497297523444, 0.0080253680162993366, 0.0080271389431925411, 0.008028962429165282, 0.0080308385476916821, 0.0080327675421244613, 0.0080347498417533969, 0.0080367860789761839, 0.0080388771078137734, 0.008041024024049926, 0.0080432281873328466, 0.0080454912456469092, 0.0080478151626481916, 0.0080502022484630984, 0.0080526551946797226, 0.0080551771144232315, 0.0080577715886087711, 0.0080604427197181784, 0.0080631951947653952, 0.0080660343595177642, 0.008068966306550884, 0.0080719979803650539, 0.0080751373036235304, 0.0080783933296421917, 0.0080817764276416831, 0.0080852985090664325, 0.0080889733056167222, 0.0080928167127176653, 0.0080968472162218953, 0.0081010864255753098, 0.0081055597439852883, 0.0081102972160619399, 0.0081153346070400919, 0.0081207147866379711, 0.0081264895172757125, 0.0081327217844359874, 0.0081394888620944742, 0.0081468863873618274, 0.0081550338402013155, 0.0081640820099977765, 0.0081742233205504226, 0.0081857063469010505, 0.0081988566114402483, 0.0082141070110711267, 0.0082320434109608119, 0.0082534748396022473, 0.008279544948943068, 0.0083119153943042451, 0.0083530802437605679, 0.0084069318507841839, 0.0084798401759399126, 0.0085828624690977677, 0.0087366856986670627, 0.0089840181622812473, 0.0094258176621636047, 0.010353253810706446, 0.012927223369339998, 0.025783772110773782, 0.089982930927341054, 0.017315688959733337, 0.010556911315446562, 0.0090729609878508807, 0.0085470184949935878, 0.0083100740901160455, 0.0081869235402645246, 0.0081165819389589847, 0.0080736419584300136, 0.0080461160139990197, 0.0080278067118314655, 0.0080152775758677314, 0.0080065145175021828, 0.0080002828858941246, 0.0079957972061779105, 0.0079925419234338612, 0.0079901695191533749, 0.0079884402947931997, 0.0079871855666956912, 0.0079862845054281782, 0.0079856491848555606, 0.0079852147112357708, 0.0079849325746082535, 0.007984766089722815, 0.0079846872190258659, 0.007984674326199372, 0.0079847105664471712, 0.0079847827189409998, 0.0079848803304663485, 0.0079849950808301567, 0.0079851203081249354, 0.0079852506504700729, 0.0079853817734872826, 0.0079855101614949766, 0.0079856329565057924, 0.0079857478334213802, 0.0079858529028965577, 0.0079859466355655575, 0.0079860278029418655, 0.0079860954314963876, 0.0079861487673083976, 0.0079861872493573374, 0.0079862104900425279, 0.0079862182619277553, 0.0079862171091186693, 0.0079862136530562382, 0.0079862079008905257, 0.0079861998647247443, 0.0079861895618993581, 0.0079861770153986152, 0.0079861622543888136, 0.0079861453149005501, 0.0079861262406706011, 0.0079861050841632825, 0.0079860819077954472, 0.0079860567853947042, 0.0079860298039268838, 0.0079860010655360882, 0.007985970689949903, 0.0079859388173130728, 0.0079859056115262738, 0.007985871264182676, 0.0079858359992146938, 0.0079858000783876674, 0.0079857638078070677, 0.0079857275456431797, 0.0079856917113234095, 0.0079856567965005884, 0.0079856233781785725, 0.0079855921344688854, 0.0079855638635694913, 0.0079855395067067111, 0.0079855201759740247, 0.0079855071882503695, 0.0079855021067042689, 0.0079855067918136943, 0.0079855234643896218, 0.0079855547838319201, 0.0079856039458364499, 0.0079856748051073019, 0.0079857720304429627, 0.0079859013020553149, 0.0079860695644294946, 0.0079862853528606149, 0.0079865592186350066, 0.0079869042876066585, 0.0079873370011069849, 0.0079878781089843861, 0.0079885540156918386, 0.0079893986275250007, 0.0079904559219049591, 0.0079917835740474924, 0.0079934581600833599, 0.0079955827574488859, 0.0079982982716840807, 0.0080018006994955742, 0.0080063681127060943, 0.0080124040651590109, 0.0080205097518646195, 0.0080316086167759766, 0.008047171330124914, 0.008069644028712325, 0.0081033171571315045, 0.0081562323325835798, 0.0082448043615108244, 0.0084065767116174011, 0.0087422466144274052, 0.0095946244086600029, 0.012677946026191961, 0.030137464592147063, 0.021341161917466669, 0.011735837316477656, 0.0096788067146736413, 0.0089644433728911978, 0.0086355585839532501, 0.0084565050727375152, 0.0083477192031673822, 0.0082763332603890145, 0.0082267481763539322, 0.0081907715846971305, 0.0081637557854922615, 0.0081428988001945677, 0.0081264263500934828, 0.008113168475816614, 0.0081023270501907278, 0.0080933416504790651, 0.0080858088678439043, 0.0080794319871025314, 0.0080739886107227665, 0.0080693092500076814, 0.0080652628215508847, 0.008061746607507669, 0.0080586791700204014, 0.0080559952623178235, 0.0080536421151822211, 0.0080515766871824112, 0.0080497636007961035, 0.0080481735735455102, 0.0080467822109174109, 0.0080455690666834077, 0.0080445169028198343, 0.0080436110996838072, 0.0080428391800927632, 0.0080421904202198115, 0.0080416555269139413, 0.0080412263659646963, 0.0080408957294917718, 0.008040657133425751, 0.0080405046382208741, 0.008040432687695236, 0.0080404359623640551, 0.0080405092449164287, 0.0080406472966523378, 0.0080408447447856534, 0.0080410959815478446, 0.0080413950769883911, 0.0080417357082304911, 0.0080421111086504907, 0.0080425140409299579, 0.0080429367980914754, 0.0080433712363768249, 0.0080438088430746079, 0.0080442408410970525, 0.0080446583302368688, 0.0080450524626680085, 0.0080454146475375139, 0.0080457367766625723, 0.0080460114607049694, 0.0080462322630912332, 0.008046393917721344, 0.0080464925164359762, 0.0080465256534442038, 0.0080464925164359727, 0.0080463939177213423, 0.0080462322630912367, 0.008046011460704966, 0.0080457367766625723, 0.0080454146475375122, 0.0080450524626680068, 0.0080446583302368705, 0.0080442408410970542, 0.0080438088430746079, 0.0080433712363768266, 0.0080429367980914736, 0.0080425140409299579, 0.0080421111086504925, 0.0080417357082304929, 0.0080413950769883877, 0.0080410959815478446, 0.0080408447447856482, 0.0080406472966523396, 0.0080405092449164304, 0.0080404359623640516, 0.008040432687695236, 0.0080405046382208741, 0.008040657133425751, 0.0080408957294917736, 0.0080412263659646998, 0.0080416555269139448, 0.0080421904202198115, 0.0080428391800927597, 0.0080436110996838072, 0.0080445169028198361, 0.008045569066683406, 0.0080467822109174126, 0.0080481735735455119, 0.0080497636007961053, 0.0080515766871824077, 0.0080536421151822159, 0.0080559952623178253, 0.0080586791700204049, 0.008061746607507669, 0.0080652628215508847, 0.0080693092500076797, 0.0080739886107227699, 0.0080794319871025349, 0.0080858088678439008, 0.0080933416504790634, 0.0081023270501907243, 0.0081131684758166244, 0.0081264263500934551, 0.0081428988001945538, 0.0081637557854922597, 0.0081907715846970541, 0.0082267481763538871, 0.0082763332603889399, 0.0083477192031672434, 0.0084565050727374632, 0.008635558583953061, 0.0089644433728907902, 0.0096788067146723108, 0.011735837316473874, 0.021341161917439358, 0.03013746459214954, 0.012677946026202942, 0.0095946244086610212, 0.00874224661442723, 0.0084065767116173664, 0.0082448043615108661, 0.0081562323325835104, 0.0081033171571314958, 0.0080696440287122955, 0.0080471713301248863, 0.0080316086167759732, 0.0080205097518646212, 0.0080124040651590039, 0.008006368112706096, 0.0080018006994955742, 0.0079982982716840772, 0.0079955827574488894, 0.0079934581600833565, 0.0079917835740474924, 0.0079904559219049591, 0.0079893986275250007, 0.0079885540156918351, 0.0079878781089843861, 0.0079873370011069884, 0.0079869042876066602, 0.0079865592186350049, 0.0079862853528606149, 0.0079860695644294929, 0.0079859013020553166, 0.0079857720304429627, 0.0079856748051073002, 0.0079856039458364517, 0.0079855547838319201, 0.0079855234643896218, 0.0079855067918136943, 0.0079855021067042689, 0.0079855071882503677, 0.0079855201759740212, 0.0079855395067067111, 0.0079855638635694948, 0.0079855921344688871, 0.007985623378178569, 0.0079856567965005867, 0.0079856917113234078, 0.007985727545643178, 0.0079857638078070694, 0.0079858000783876656, 0.0079858359992146973, 0.0079858712641826812, 0.0079859056115262773, 0.0079859388173130728, 0.007985970689949903, 0.0079860010655360917, 0.0079860298039268838, 0.0079860567853947042, 0.0079860819077954472, 0.0079861050841632825, 0.0079861262406705994, 0.0079861453149005484, 0.0079861622543888153, 0.0079861770153986118, 0.0079861895618993581, 0.0079861998647247461, 0.0079862079008905257, 0.00798621365305624, 0.0079862171091186693, 0.0079862182619277536, 0.0079862176855119218, 0.0079862159573085012, 0.0079862130804557122, 0.0079862090602039783, 0.007986203903946219, 0.0079861976212606007, 0.0079861902239661345, 0.0079861817261915966, 0.0079861721444584189, 0.007986161497778187, 0.0079861498077657116, 0.0079861370987686399, 0.0079861233980147925, 0.0079861087357785774, 0.0079860931455680729, 0.0079860766643344936, 0.0079860593327061302, 0.0079860411952489534, 0.0079860223007566199, 0.0079860027025726622, 0.0079859824589483593, 0.0079859616334399201, 0.0079859402953494033, 0.0079859185202140991, 0.007985896390350045, 0.0079858739954557535, 0.0079858514332834928, 0.0079858288103861023, 0.0079858062429486645, 0.0079857838577156604, 0.0079857617930256825, 0.007985740199967676, 0.0079857192436746018, 0.0079856991047730277, 0.0079856799810097082, 0.0079856620890797914, 0.0079856456666849533, 0.0079856309748544164, 0.0079856183005672047, 0.007985607959720354, 0.0079856003004953064, 0.007985595707183853, 0.007985594604545624, 0.0079855974627821326, 0.0079856048032277815, 0.0079856172048770203, 0.0079856353118893612, 0.0079856598422415031, 0.0079856915977292338, 0.007985731475562757, 0.0079857804818494523, 0.0079858397473201274, 0.007985910545731844, 0.0079859943154761553, 0.0079860926850416, 0.0079862075031299218, 0.0079863408744160879, 0.0079864952021843297, 0.0079866732393820104, 0.0079868781500311899, 0.007987113583453137, 0.0079873837644324069, 0.007987693603328282, 0.0079880488313063061, 0.007988456167414967, 0.0079889235263188082, 0.0079894602783273407, 0.007990077577229927, 0.0079907887767975954, 0.0079916099642896674, 0.0079925606498703824, 0.0079936646659613305, 0.0079949513524777381, 0.0079964571361352803, 0.0079982276601577671, 0.0080003206938184541, 0.0080028101642759565, 0.0080057918314168919, 0.0080093914136873477, 0.0080137764470486622, 0.0080191739627614514, 0.0080258974721963174, 0.0080343892766530246, 0.0080452888560044143, 0.0080595473378642611, 0.0080786270033730272, 0.0081048658749799055, 0.0081421825545635786, 0.0081975345671613103, 0.0082841981698155518, 0.0084299577427495373, 0.008700482262794379, 0.0092786131097530207, 0.010793181423130524, 0.015571417220151091, 0.019447367104612132, 0.012714631623974555, 0.010004111322982689, 0.0090587133771124276, 0.0086455392537709737, 0.0084316683595426715, 0.0083072288712671815, 0.0082285088798272083, 0.0081755098059010014, 0.0081380703706949737, 0.0081105929851781333, 0.0080897904377857741, 0.0080736297315161763, 0.0080607986687073474, 0.0080504193919227144, 0.0080418864440711044, 0.0080347711469127159, 0.0080287629876279031, 0.0080236325050648625, 0.0080192071116476048, 0.0080153549417331139, 0.0080119738180835613, 0.0080089835623653877, 0.008006320538816409, 0.0080039337189608817, 0.0080017818010557525, 0.0079998310729554427, 0.0079980538068669341, 0.0079964270399285921, 0.0079949316382417548, 0.0079935515716198276, 0.007992273346719328, 0.0079910855604521797, 0.0079879751992942231, 0.0079854068369994355, 0.0079832622908040628, 0.0079814733933013214, 0.0079800086624271793, 0.0079788671705599036, 0.0079780773162076123, 0.0079776996379168734, 0.0079778337251184463, 0.0079786300239054926, 0.0079803080949441847, 0.0079831837556898679, 0.0079877085202098488, 0.0079945255650284743, 0.0080045461323533795, 0.0080190461245075936, 0.0080397679166237211, 0.0080689722984899018, 0.0081092932535119476, 0.0081630772766419953, 0.0082306951801660536, 0.0083074884306901971, 0.0083805319377985698, 0.0084296238684341274, 0.0084373354054365877, 0.0084028337195824494, 0.0083434895215846756, 0.0082810371085018479, 0.0082288004878762477, 0.0081901695323893346, 0.0081631909738082188, 0.0081445914600102309, 0.0081315613314451307, 0.0081221322634174586, 0.0081150407034370226, 0.0081095039575931876, 0.0081050404314788136, 0.0081013502081807489, 0.0080982417000458311, 0.008095588114907161, 0.0080933019253398575, 0.0080913198845477697, 0.0080895941546950574, 0.0080880869790413007, 0.0080867674237382753, 0.0080856093431120619, 0.0080845900797641111, 0.0080836896144422989, 0.0080828899972133373, 0.0080821749587701632, 0.0080815296399651196, 0.0080809404008325095, 0.0080803946842282828, 0.0080798809176392539, 0.0080793884419291702, 0.0080789074590920176, 0.0080784289932367952, 0.0080779448604856655, 0.0080774476444978663, 0.0080769306750980256, 0.0080763880080848265, 0.0080758144047823489, 0.00807520531030422, 0.0080745568298482475, 0.0080738657026369915, 0.0080731292733712146, 0.0080723454612724368, 0.0080715127269578059, 0.0080706300375181367, 0.0080696968302591317, 0.0080687129756201251, 0.0080676787398074185, 0.0080665947476744101, 0.0080654619463534031, 0.0080642815700984784, 0.0080630551067404407, 0.0080617842660876213, 0.008060470950534972, 0.0080591172280714603, 0.0080577253078055761, 0.0080562975180629281, 0.0080548362870504434, 0.0080533441260290974, 0.0080518236148928064, 0.0080502773900144303, 0.0080487081341912674, 0.0080471185685008911, 0.0080455114458636984, 0.0080438895460995877, 0.008042255672262728, 0.0080406126480390191, 0.0080389633159950076, 0.0080373105364742355, 0.0080356571869461355, 0.0080340061616236014, 0.0080323603711775667, 0.0080307227423898359, 0.0080290962175992835, 0.0080274837538105021, 0.0080258883213484202, 0.0080243129019571049, 0.0080227604862557408, 0.008021234070479992, 0.0080197366524519705, 0.0080182712267378772, 0.0080168407789677504, 0.0080154482793080139, 0.0080140966750934829, 0.0080127888826417373, 0.0080115277782890227, 0.0080103161887030271, 0.0080091568805434402, 0.0080080525495565442, 0.0080070058092045308, 0.0080060191789432973, 0.008005095072274664, 0.0080042357847088883, 0.008003443481781598, 0.0080027201872752921, 0.0080020677717985607, 0.0080014879418769929, 0.0080009822297072205, 0.0080005519837201226, 0.0080001983600910178, 0.0079999223153229895, 0.0079997246000157625, 0.0079996057539156572, 0.0079995661023233369, 0.0079995925381015909, 0.0079996717895459164, 0.0079998036891753554, 0.0079999879584869617, 0.0080002242088958106, 0.0080005119430350789, 0.0080008505564005614, 0.0080012393393197549, 0.0080016774792219265, 0.0080021640631818027, 0.0080026980807064059, 0.0080032784267316161, 0.0080039039047926485, 0.0080045732303304726, 0.0080052850340948077, 0.0080060378656030187, 0.0080068301966138254, 0.0080076604245743685, 0.0080085268759997868, 0.008009427809745116, 0.0080103614201307398, 0.008011325839884606, 0.0080123191428665176, 0.0080133393465429796, 0.0080143844141842783, 0.0080154522567594949, 0.0080165407345095235, 0.0080176476581835434, 0.0080187707899295781, 0.0080199078438367207, 0.0080210564861330491, 0.0080222143350514984, 0.0080233789603843392, 0.0080245478827562899, 0.0080257185726567339, 0.0080268884492827146, 0.0080280548792564781, 0.0080292151752945646, 0.0080303665949193401, 0.0080315063393187145, 0.0080326315524751942, 0.0080337393207013438, 0.0080348266727346043, 0.0080358905805601906, 0.0080369279611456519, 0.0080379356792839411, 0.0080389105517529834, 0.0080398493530075259, 0.0080407488226223924, 0.0080416056747042892, 0.0080424166094801366, 0.0080431783272525859, 0.0080438875448863752, 0.0080445410149512162, 0.0080451355475966799, 0.0080456680351718574, 0.0080461354795262393, 0.0080465350218395966, 0.0080468639747277963, 0.0080471198562612114, 0.0080473004254153803, 0.0080474037183539109, 0.0080474280848268787, 0.008047372223859978, 0.0080472352178175069, 0.0080470165638532598, 0.0080467162017249464, 0.0080463345369460593, 0.008045872458290396, 0.0080453313487513552, 0.0080447130891928079, 0.0080440200541079324, 0.0080432550991230544, 0.0080424215401362648, 0.0080415231242548929, 0.0080405639929781933, 0.0080395486383472332, 0.0080384818530376181, 0.0080373686755880868, 0.0080362143321264373, 0.0080350241760646403, 0.0080338036272811636, 0.008032558112289246, 0.0080312930068078131, 0.0080300135820134694, 0.008028724955567567, 0.0080274320482938595, 0.0080261395471434294, 0.0080248518748377556, 0.0080235731663411726, 0.0080223072520913246, 0.0080210576477199279, 0.0080198275498316717, 0.0080186198372811154, 0.0080174370772959896, 0.0080162815357398796, 0.0080151551907849186, 0.0080140597492712635, 0.0080129966650605029, 0.0080119671587386785, 0.0080109722380869008, 0.0080100127188079823, 0.0080090892450722651, 0.0080082023095211993, 0.0080073522724398855, 0.0080065393798784048, 0.0080057637805636961, 0.0080050255414991518, 0.0080043246621967819, 0.0080036610875270729, 0.0080030347192047817, 0.0080024454259551084, 0.0080018930524249857, 0.0080013774269188515, 0.0080008983680482995, 0.0080004556903910291, 0.0080000492092569125, 0.007999678744659084, 0.007999344124585292, 0.0079990451876608051, 0.0079987817852885147, 0.0079985537833454374, 0.0079983610635074552, 0.0079982035242664555, 0.0079980810816957446, 0.0079979936700112393, 0.0079979412419674996, 0.0079979237691188698], [0.0082124163722336035, 0.0082124534553595294, 0.0082125646570314001, 0.008212749834561028, 0.0082130087515634564, 0.0082133410800893838, 0.0082137464035894163, 0.0082142242206896185, 0.008214773949752634, 0.0082153949341938065, 0.0082160864485180292, 0.0082168477050393023, 0.008217677861242622, 0.0082185760277460346, 0.0082195412768197099, 0.0082205726514190357, 0.0082216691746896126, 0.0082228298599042165, 0.0082240537207944782, 0.0082253397822443317, 0.0082266870913170614, 0.0082280947285940913, 0.0082295618198105994, 0.0082310875477815456, 0.008232671164621095, 0.0082343120042691811, 0.0082360094953513163, 0.0082377631744113868, 0.008239572699572914, 0.0082414378647021717, 0.0082433586141665502, 0.0082453350583055786, 0.0082473674897586315, 0.0082494564008255711, 0.0082516025020739122, 0.0082538067424508584, 0.0082560703312118695, 0.0082583947620420983, 0.008260781839825565, 0.0082632337106127024, 0.0082657528954553326, 0.0082683423289240457, 0.0082710054033047556, 0.0082737460196981149, 0.0082765686475302185, 0.0082794783943418472, 0.0082824810881775013, 0.0082855833754723815, 0.0082887928380718599, 0.0082921181339618878, 0.0082955691675046985, 0.0082991572965483828, 0.0083028955858282395, 0.0083067991187617818, 0.0083108853832781042, 0.008315174752022517, 0.0083196910835708991, 0.0083244624797930693, 0.0083295222461110523, 0.0083349101174153457, 0.0083406738347736251, 0.0083468711897288668, 0.0083535726984426649, 0.008360865134227834, 0.0083688562453060021, 0.0083776811330261054, 0.0083875109942363208, 0.0083985652906950377, 0.0084111289862685065, 0.0084255774460200612, 0.0084424132085643717, 0.0084623216731420578, 0.0084862578714760759, 0.0085155861649215819, 0.0085523137917984625, 0.0085994988955114902, 0.0086620015616556047, 0.0087479559218017408, 0.0088718878887190118, 0.0090619976625876796, 0.0093795012320655267, 0.0099799335324988019, 0.011365609788692187, 0.01599451134432819, 0.051596574043096928, 0.039722188715236542, 0.013302391223325955, 0.0099508989970267785, 0.0090120798550793017, 0.0086389909981131451, 0.0084596543970670741, 0.0083625681022434575, 0.0083055871735658333, 0.0082701502324495028, 0.0082471432888501003, 0.0082317115878467427, 0.0082211003015246423, 0.0082136651760743168, 0.0082083834458438459, 0.0082045966815144367, 0.0082018685066134207, 0.0081999024181728195, 0.0081984925527568472, 0.0081974932447159993, 0.0081967996797354479, 0.0081963352996932692, 0.0081960434260933586, 0.0081958815822805071, 0.0081958175788243749, 0.008195826772742984, 0.0081958901216266939, 0.008195992784425862, 0.0081961231035165266, 0.0081962718561495729, 0.0081964316985081685, 0.0081965967490123474, 0.0081967622733420259, 0.0081969244444960888, 0.0081970801587262082, 0.0081972268934587915, 0.0081973625970571881, 0.0081974856029538509, 0.0081975945626186677, 0.0081976883932444559, 0.0081977662370753789, 0.0081978274300845769, 0.0081978714782988647, 0.0081978980405249553, 0.0081979069165925827, 0.0081979055909569103, 0.0081979016157676336, 0.0081978949962265152, 0.0081978857411660368, 0.0081978738632976136, 0.0081978593795669092, 0.0081978423116244713, 0.0081978226864225026, 0.0081978005369517312, 0.0081977759031357875, 0.0081977488329045816, 0.0081977193834728221, 0.0081976876228554586, 0.0081976536316583741, 0.0081976175051907286, 0.0081975793559547361, 0.0081975393165804305, 0.0081974975432869673, 0.00819745421996931, 0.0081974095630303265, 0.008197363827104398, 0.0081973173118511568, 0.0081972703700379373, 0.008197223417180181, 0.0081971769430718433, 0.0081971315256177298, 0.0081970878474804665, 0.0081970467161834766, 0.0081970090884760701, 0.0081969760999789122, 0.0081969491014031084, 0.0081969297029947461, 0.0081969198293274006, 0.008196921787187025, 0.008196938350122026, 0.0081969728643424816, 0.0081970293821559403, 0.0081971128311788561, 0.0081972292303887934, 0.0081973859680140367, 0.0081975921617841053, 0.0081978591299235546, 0.0081982010125815404, 0.0081986355998809185, 0.0081991854471562924, 0.0081998793945622806, 0.0082007546641146862, 0.0082018597940650886, 0.0082032588081264336, 0.008205037239902499, 0.0082073110023666521, 0.0082102397212355255, 0.008214047253713384, 0.0082190541116138292, 0.008225730263650274, 0.0082347841589416985, 0.0082473189871761117, 0.0082651202661912417, 0.0082912159384690935, 0.0083310448621498057, 0.0083951121240335106, 0.0085057199943649152, 0.0087166927668653887, 0.0091841286476208456, 0.01050915709284723, 0.016351790114651186, 0.03754549779175085, 0.016131188432089744, 0.010939205727750489, 0.0095824363743033086, 0.0090488775233029881, 0.0087848163111460074, 0.008634206892634267, 0.008539694435745062, 0.008476183505809351, 0.0084312591055231752, 0.0083981931202046708, 0.0083730734290998754, 0.0083534942629470994, 0.008337907133657594, 0.0083252768787300258, 0.0083148890418008568, 0.008306236882727568, 0.0082989524267622489, 0.0082927629294517451, 0.0082874625601475869, 0.0082828934965845473, 0.0082789330068430093, 0.0082754844378183298, 0.0082724708106118872, 0.0082698301911680056, 0.008267512292074744, 0.0082654759424017794, 0.0082636871787528203, 0.0082621177869238623, 0.0082607441743959495, 0.0082595464883598729, 0.0082585079176976748, 0.0082576141339136804, 0.0082568528377348818, 0.00825621338651439, 0.0082556864836937551, 0.0082552639161038409, 0.0082549383282891856, 0.0082547030256605279, 0.0082545518003532079, 0.0082544787753626812, 0.0082544782639632878, 0.008254544642674725, 0.0082546722371742067, 0.0082548552215876043, 0.008255087532530108, 0.0082553628000845616, 0.0082556742985599989, 0.008256014920301126, 0.0082563771759478887, 0.008256753224294363, 0.0082571349342011064, 0.0082575139798330074, 0.0082578819688296431, 0.0082582306009301339, 0.008258551852204938, 0.0082588381775996998, 0.0082590827222373594, 0.0082592795301511378, 0.0082594237381207348, 0.0082595117422850327, 0.0082595413263302758, 0.0082595117422850275, 0.0082594237381207365, 0.0082592795301511431, 0.0082590827222373594, 0.0082588381775996964, 0.0082585518522049328, 0.0082582306009301321, 0.0082578819688296466, 0.0082575139798330092, 0.0082571349342011099, 0.0082567532242943647, 0.0082563771759478852, 0.0082560149203011277, 0.0082556742985599989, 0.0082553628000845633, 0.008255087532530108, 0.0082548552215876043, 0.0082546722371741998, 0.0082545446426747267, 0.0082544782639632896, 0.0082544787753626777, 0.0082545518003532079, 0.0082547030256605279, 0.0082549383282891856, 0.0082552639161038426, 0.0082556864836937551, 0.00825621338651439, 0.0082568528377348783, 0.0082576141339136787, 0.0082585079176976765, 0.0082595464883598729, 0.0082607441743959478, 0.0082621177869238657, 0.008263687178752822, 0.0082654759424017777, 0.0082675122920747371, 0.0082698301911680022, 0.0082724708106118854, 0.0082754844378183333, 0.0082789330068430058, 0.0082828934965845508, 0.0082874625601475835, 0.0082927629294517503, 0.0082989524267622506, 0.008306236882727561, 0.0083148890418008499, 0.0083252768787300205, 0.0083379071336576027, 0.0083534942629470699, 0.0083730734290998546, 0.0083981931202046761, 0.0084312591055230833, 0.008476183505809292, 0.0085396944357449666, 0.0086342068926340831, 0.0087848163111459328, 0.0090488775233026966, 0.0095824363743026268, 0.010939205727747765, 0.016131188432078482, 0.037545497791741621, 0.01635179011465223, 0.010509157092851395, 0.0091841286476213695, 0.0087166927668652743, 0.0085057199943648978, 0.0083951121240335418, 0.0083310448621497519, 0.008291215938469083, 0.0082651202661912174, 0.0082473189871760891, 0.0082347841589416951, 0.0082257302636502706, 0.0082190541116138275, 0.0082140472537133892, 0.0082102397212355273, 0.0082073110023666487, 0.0082050372399025007, 0.0082032588081264301, 0.0082018597940650903, 0.0082007546641146897, 0.0081998793945622823, 0.0081991854471562906, 0.0081986355998809185, 0.0081982010125815404, 0.0081978591299235546, 0.008197592161784107, 0.0081973859680140367, 0.0081972292303887917, 0.0081971128311788561, 0.0081970293821559421, 0.0081969728643424798, 0.0081969383501220242, 0.0081969217871870285, 0.0081969198293274023, 0.0081969297029947461, 0.0081969491014031049, 0.008196976099978914, 0.0081970090884760684, 0.0081970467161834766, 0.0081970878474804682, 0.0081971315256177332, 0.0081971769430718416, 0.0081972234171801776, 0.0081972703700379356, 0.0081973173118511534, 0.0081973638271043998, 0.008197409563030323, 0.0081974542199693117, 0.0081974975432869707, 0.0081975393165804305, 0.0081975793559547361, 0.0081976175051907268, 0.0081976536316583758, 0.0081976876228554586, 0.0081977193834728221, 0.0081977488329045816, 0.0081977759031357858, 0.0081978005369517312, 0.0081978226864225026, 0.0081978423116244679, 0.0081978593795669075, 0.0081978738632976118, 0.0081978857411660385, 0.0081978949962265152, 0.0081979016157676318, 0.0081979055909569103, 0.0081979069165925809, 0.0081979062537814503, 0.0081979042662849045, 0.008197900956918882, 0.0081978963303947164, 0.0081978903933464051, 0.0081978831543691819, 0.0081978746240695885, 0.0081978648151276087, 0.00819785374237131, 0.0081978414228646608, 0.0081978278760093514, 0.0081978131236614092, 0.0081977971902637923, 0.0081977801029960336, 0.0081977618919424015, 0.0081977425902801174, 0.0081977222344894098, 0.0081977008645874212, 0.0081976785243883001, 0.0081976552617920133, 0.0081976311291048782, 0.0081976061833950904, 0.0081975804868870458, 0.0081975541073986968, 0.0081975271188268039, 0.0081974996016855421, 0.0081974716437047193, 0.0081974433404946936, 0.0081974147962860511, 0.0081973861247532937, 0.0081973574499330498, 0.0081973289072488614, 0.0081973006446563832, 0.0081972728239248591, 0.0081972456220731748, 0.0081972192329815511, 0.0081971938692032564, 0.008197169764004527, 0.0081971471736655196, 0.008197126380080369, 0.0081971076937008558, 0.0081970914568756919, 0.0081970780476464337, 0.0081970678840717036, 0.0081970614291643224, 0.0081970591965413245, 0.0081970617569054795, 0.0081970697454995176, 0.0081970838707014926, 0.0081971049239632551, 0.0081971337913347552, 0.0081971714668669701, 0.0081972190682484472, 0.0081972778551068735, 0.0081973492505029617, 0.0081974348662632729, 0.0081975365329491519, 0.0081976563354489076, 0.0081977966554220658, 0.0081979602221333592, 0.0081981501736114286, 0.0081983701305814675, 0.0081986242862912249, 0.0081989175162292677, 0.0081992555128973486, 0.0081996449523485133, 0.0082000937012853947, 0.0082006110763371137, 0.0082012081709982639, 0.0082018982710571186, 0.0082026973868070032, 0.0082036249408890954, 0.0082047046657171049, 0.0082059657863310324, 0.0082074445967295906, 0.0082091865858218375, 0.0082112493421623578, 0.0082137065795428645, 0.008216653803575398, 0.0082202164263659346, 0.0082245616100133905, 0.0082299159223318021, 0.0082365922890275268, 0.0082450322531608441, 0.0082558742821126421, 0.0082700680963817119, 0.0082890739175766701, 0.0083152265458012568, 0.0083524390981124848, 0.0084076587461837816, 0.008494139640761551, 0.0086396116784573877, 0.0089095854398750108, 0.0094863497921542275, 0.010996592902922462, 0.01577077996403475, 0.019769866556681653, 0.012985396280989599, 0.010238342964110872, 0.0092816502341473723, 0.0088639729653992756, 0.0086478814067080731, 0.0085221739886536287, 0.0084426514746776069, 0.008389104725396359, 0.0083512695845759533, 0.0083234932514892005, 0.0083024566237240201, 0.0082861071666319036, 0.0082731201233432229, 0.0082626092342448654, 0.0082539632289492428, 0.0082467492901983439, 0.008240653884607806, 0.0082354452989238935, 0.0082309492346308057, 0.0082270325046265823, 0.0082235918960173529, 0.0082205464082210199, 0.0082178317451092001, 0.0082153963424177606, 0.0082131984597658969, 0.0082112040230745316, 0.0082093850038884135, 0.0082077181881759463, 0.0082061842312815981, 0.0082047669256166741, 0.0082034526282631533, 0.0082000209882159402, 0.0081971927866058315, 0.008194827000244714, 0.0081928402648582237, 0.0081911901318235461, 0.0081898669084675257, 0.0081888910612154236, 0.0081883149205829679, 0.0081882284704696655, 0.0081887697708570763, 0.008190141268418329, 0.0081926339893767536, 0.0081966623489796234, 0.0082028127474995851, 0.0082119082900922319, 0.0082250873456395871, 0.0082438793442572832, 0.0082702250392049561, 0.0083063106722550042, 0.0083539529008350762, 0.0084131496919101247, 0.0084796327752742345, 0.0085425247379595833, 0.0085855396317397956, 0.0085949932840232671, 0.0085701791681170401, 0.0085244356162795486, 0.0084747941415832841, 0.0084321790648917844, 0.0083998477569474372, 0.0083766701078012637, 0.0083602515852603532, 0.0083484256376561566, 0.0083396313512313826, 0.0083328477641883385, 0.0083274332623822101, 0.0083229878952070877, 0.0083192591448591341, 0.0083160830761439195, 0.0083133490608573134, 0.0083109789699909956, 0.0083089149207864772, 0.0083071120068699735, 0.0083055339239483626, 0.0083041502875428209, 0.0083029349508106035, 0.00830186492303925, 0.0083009196562413515, 0.0083000805627180176, 0.0082993306814092109, 0.0082986544427718217, 0.008298037500675844, 0.008297466610967268, 0.0082969295430935144, 0.0082964150153510934, 0.0082959126469535661, 0.0082954129218495813, 0.0082949071604100592, 0.0082943874959646342, 0.0082938468538285154, 0.0082932789309948362, 0.008292678175117996, 0.008292039761802792, 0.0082913595695544798, 0.0082906341520417159, 0.0082898607075785405, 0.0082890370459447835, 0.0082881615528351254, 0.0082872331523575014, 0.0082862512680921298, 0.0082852157832764405, 0.00828412700070188, 0.0082829856029003959, 0.0082817926131660783, 0.0082805493579066487, 0.0082792574307546801, 0.0082779186587948663, 0.0082765350711859632, 0.0082751088703773758, 0.0082736424060445828, 0.0082721381517968685, 0.0082705986846467964, 0.0082690266671749616, 0.0082674248322762468, 0.0082657959703349663, 0.0082641429186463954, 0.0082624685528794855, 0.0082607757803608104, 0.0082590675349508251, 0.0082573467732802251, 0.008255616472115682, 0.0082538796266288239, 0.0082521392493508476, 0.0082503983696048944, 0.0082486600332207314, 0.0082469273023492752, 0.0082452032552086888, 0.0082434909856085592, 0.0082417936021137034, 0.0082401142267246041, 0.0082384559929670875, 0.0082368220432996204, 0.0082352155257626181, 0.008233639589810219, 0.0082320973812815938, 0.0082305920364850755, 0.0082291266753856309, 0.0082277043939028814, 0.0082263282553441206, 0.0082250012810137392, 0.0082237264400576125, 0.0082225066386173093, 0.0082213447083851476, 0.0082202433946662046, 0.0082192053440674241, 0.0082182330919462806, 0.0082173290497624812, 0.0082164954924843978, 0.0082157345462085009, 0.0082150481761531693, 0.0082144381751890917, 0.0082139061530657875, 0.0082134535264881507, 0.0082130815101881839, 0.0082127911091248382, 0.0082125831119304084, 0.0082124580857040903, 0.0082124163722336035, 0.008212444182665226, 0.0082125275552104495, 0.0082126663138202879, 0.0082128601657436, 0.0082131087025144878, 0.0082134114013178317, 0.0082137676267164828, 0.0082141766327193007, 0.0082146375651649881, 0.0082151494643930307, 0.0082157112681696173, 0.0082163218148332221, 0.0082169798466222056, 0.0082176840131443739, 0.0082184328749469789, 0.0082192249071442978, 0.0082200585030594818, 0.0082209319778369355, 0.0082218435719821382, 0.0082227914547865748, 0.0082237737275968181, 0.0082247884268889203, 0.0082258335271115941, 0.0082269069432648074, 0.0082280065331839236, 0.0082291300995037016, 0.0082302753912811225, 0.0082314401052615508, 0.0082326218867785073, 0.0082338183302842153, 0.0082350269795153936, 0.0082362453273071533, 0.0082374708150768118, 0.0082387008320095149, 0.0082399327139884345, 0.0082411637423243731, 0.0082423911423523902, 0.0082436120819771377, 0.0082448236702634022, 0.0082460229561841947, 0.0082472069276551038, 0.0082483725110006779, 0.0082495165710155284, 0.0082506359117997443, 0.0082517272785640403, 0.0082527873606143849, 0.0082538127957377319, 0.0082548001762188725, 0.008255746056722163, 0.0082566469642697295, 0.0082574994105381327, 0.0082582999066769715, 0.0082590449808242067, 0.0082597311984522678, 0.0082603551856256421, 0.008260913655183319, 0.0082614034357780964, 0.0082618215036097797, 0.0082621650165815054, 0.0082624313504905279, 0.0082626181367395773, 0.0082627233009271595, 0.0082627451015503672, 0.0082626821679386009, 0.0082625335364384881, 0.0082622986837970428, 0.0082619775566497664, 0.0082615705960196358, 0.0082610787557780441, 0.0082605035141131086, 0.008259846877195871, 0.0082591113744282761, 0.0082583000448935295, 0.0082574164149006486, 0.008256464466808151, 0.0082554485996136455, 0.0082543735820896566, 0.0082532444995156874, 0.008252066695286827, 0.008250845708856494, 0.0082495872115861697, 0.0082482969421207499, 0.0082469806428848158, 0.0082456439992042753, 0.0082442925824076484, 0.0082429317980624254, 0.0082415668402671741, 0.0082402026526646084, 0.0082388438965784357, 0.0082374949264218678, 0.0082361597722895689, 0.008234842129436851, 0.0082335453541769396, 0.0082322724655926102, 0.0082310261523632442, 0.0082298087839516327, 0.0082286224253726951, 0.0082274688547747821, 0.0082263495830978434, 0.0082252658751256983, 0.0082242187713166461, 0.00822320910987232, 0.0082222375485845219, 0.0082213045860800235, 0.0082204105821606904, 0.0082195557770088495, 0.008218740309093666, 0.0082179642316726406, 0.0082172275278327451, 0.0082165301240581384, 0.0082158719023461627, 0.0082152527109208059, 0.0082146723736140417, 0.008214130698000692, 0.0082136274823828032, 0.0082131625217256848, 0.0082127356126501447, 0.0082123465575852511, 0.0082119951681831841, 0.0082116812680931798, 0.0082114046951856402, 0.0082111653033105879, 0.0082109629636666539, 0.0082107975658486793, 0.0082106690186332602, 0.0082105772505524591, 0.0082105222102972428, 0.0082105038669825579], [0.0084201550448742973, 0.0084201940049747123, 0.0084203108353799669, 0.0084205053868553325, 0.0084207774121838018, 0.0084211265684162335, 0.0084215524199994004, 0.0084220544427604741, 0.008422632028720841, 0.0084232844917074175, 0.0084240110737253907, 0.0084248109520528545, 0.0084256832470148875, 0.0084266270303932685, 0.0084276413344268122, 0.0084287251613574896, 0.0084298774934788261, 0.0084310973036451752, 0.0084323835662035943, 0.0084337352683147241, 0.0084351514216342294, 0.0084366310743332912, 0.0084381733234441328, 0.0084397773275258579, 0.0084414423196561127, 0.0084431676207657579, 0.0084449526533473158, 0.008446796955582864, 0.0084487001959542181, 0.008450662188418074, 0.0084526829082506999, 0.0084547625086932553, 0.0084569013385584098, 0.0084590999609944709, 0.0084613591736447686, 0.0084636800304898323, 0.0084660638657193237, 0.0084685123200526763, 0.0084710273700153819, 0.0084736113607847205, 0.0084762670433514778, 0.0084789976169077578, 0.0084818067775749295, 0.0084846987748408952, 0.0084876784773960622, 0.0084907514504617664, 0.0084939240472170843, 0.0084972035175821248, 0.0085005981384494271, 0.0085041173705263338, 0.0085077720483336047, 0.0085115746117002244, 0.0085155393894370685, 0.0085196829489494769, 0.0085240245296201948, 0.0085285865832212451, 0.0085333954519093633, 0.0085384822242614046, 0.0085438838233825708, 0.0085496443999488365, 0.0085558171294843263, 0.0085624665508075761, 0.0085696716369422186, 0.0085775298695741648, 0.008586162707272452, 0.0085957230189150097, 0.0086064053350279716, 0.0086184602159174225, 0.0086322147603094951, 0.0086481024870809862, 0.0086667078983662278, 0.0086888347145470061, 0.0087156135487373165, 0.0087486777963582587, 0.0087904627199818196, 0.0088447385593621256, 0.0089176157257882128, 0.0090195741231032574, 0.0091699234692688321, 0.0094077357828973342, 0.0098228388985570052, 0.01066375397604748, 0.012854196578862113, 0.02235427023089552, 0.10451088007113611, 0.02146310592252829, 0.011552678118327704, 0.0096590425318532746, 0.0090291676100807475, 0.0087557773523423768, 0.008617287287418807, 0.0085397326363864136, 0.0084931655498484381, 0.0084637515030314397, 0.0084444559771638308, 0.0084314312199427789, 0.0084224482739487135, 0.0084161547782681898, 0.0084116983697996011, 0.0084085244129381825, 0.0084062620884341292, 0.0084046576193085084, 0.008403533761541444, 0.0084027644879417999, 0.0084022587514540961, 0.0084019498313441868, 0.0084017881998147779, 0.0084017366587628879, 0.0084017669700136941, 0.0084018574859047561, 0.0084019914608925786, 0.0084021558336802686, 0.0084023403388410987, 0.0084025368520549981, 0.0084027389028830789, 0.0084029413089803696, 0.0084031398992164136, 0.0084033313025073924, 0.0084035127856596451, 0.0084036821280953199, 0.008403837524579863, 0.0084039775094038489, 0.0084041008971625416, 0.0084042067365142394, 0.0084042942742139637, 0.0084043629274039664, 0.0084044122626622999, 0.0084044419807122461, 0.008404451906013027, 0.0084044504145593252, 0.0084044459413154405, 0.0084044384896752172, 0.0084044280654365696, 0.0084044146770172017, 0.0084043983357635459, 0.0084043790563601908, 0.0084043568573493477, 0.0084043317617727587, 0.0084043037979514464, 0.0084042730004222754, 0.0084042394110544882, 0.0084042030803742843, 0.0084041640691312966, 0.0084041224501479484, 0.0084040783105008877, 0.0084040317540940348, 0.008403982904695113, 0.0084039319095225717, 0.0084038789434884575, 0.0084038242142254367, 0.0084037679680545648, 0.0084037104970852324, 0.0084036521476824732, 0.0084035933305915255, 0.0084035345330782871, 0.0084034763335314056, 0.008403419419082226, 0.0084033646069401908, 0.0084033128703225827, 0.0084032653700919623, 0.0084032234935191037, 0.0084031889019877074, 0.0084031635899814803, 0.008403149958389684, 0.0084031509060963454, 0.0084031699450691846, 0.0084032113458631756, 0.0084032803227808497, 0.0084033832711506162, 0.0084035280736817208, 0.0084037244992069045, 0.0084039847262003999, 0.0084043240365904541, 0.0084047617446401622, 0.0084053224543140081, 0.0084060377818313183, 0.0084069487466368869, 0.0084081091381915662, 0.008409590332446407, 0.0084114883038615574, 0.0084139340343704072, 0.0084171093048029146, 0.008421271245896679, 0.0084267915822853652, 0.0084342213852688676, 0.008444401901012458, 0.0084586625250129797, 0.0084791927906080877, 0.0085097851192083122, 0.0085574325272145309, 0.0086361022218815441, 0.0087767958013804919, 0.0090591321040045421, 0.0097365524045689329, 0.01194490434271454, 0.024004964334774406, 0.029166898572065322, 0.01350828484881967, 0.01050679958249282, 0.0095656544799172481, 0.0091558770159442821, 0.0089402117722113556, 0.0088120791462912521, 0.0087293044717580183, 0.0086724633746264618, 0.0086315770342880113, 0.0086010787847310179, 0.0085776567424304343, 0.0085592359318514468, 0.008544459969782826, 0.0085324102129527533, 0.0085224455142108423, 0.0085141067193415538, 0.008507057583997819, 0.0085010470212207034, 0.0084958842868589745, 0.008491422256951698, 0.0084875459054032723, 0.0084841642053252904, 0.0084812043336631865, 0.0084786074558079634, 0.0084763256132330007, 0.0084743193935080015, 0.0084725561632855544, 0.0084710087116728807, 0.0084696541962640971, 0.0084684733147145017, 0.0084674496459311039, 0.0084665691198366894, 0.008465819585261946, 0.0084651904531705957, 0.0084646723980286095, 0.0084642571043055826, 0.0084639370482697748, 0.0084637053077075159, 0.0084635553941721179, 0.0084634811039959665, 0.0084634763856844437, 0.0084635352225175316, 0.0084636515302523047, 0.0084638190707570227, 0.0084640313832031657, 0.0084642817350630371, 0.0084645630955569144, 0.0084648681343054265, 0.0084651892477072103, 0.0084655186149261846, 0.0084658482843085418, 0.0084661702895672125, 0.0084664767932336911, 0.0084667602528071349, 0.0084670136029119554, 0.0084672304448394874, 0.0084674052333515194, 0.0084675334498080755, 0.0084676117507395988, 0.0084676380820148372, 0.0084676117507395954, 0.008467533449808072, 0.0084674052333515229, 0.0084672304448394874, 0.0084670136029119554, 0.0084667602528071349, 0.0084664767932336963, 0.008466170289567216, 0.0084658482843085435, 0.0084655186149261881, 0.0084651892477072121, 0.0084648681343054248, 0.0084645630955569127, 0.0084642817350630388, 0.008464031383203164, 0.0084638190707570227, 0.008463651530252303, 0.0084635352225175264, 0.0084634763856844455, 0.00846348110399597, 0.0084635553941721144, 0.0084637053077075159, 0.0084639370482697714, 0.0084642571043055878, 0.0084646723980286095, 0.0084651904531705974, 0.008465819585261946, 0.0084665691198366876, 0.0084674496459311004, 0.0084684733147145069, 0.0084696541962640971, 0.0084710087116728807, 0.0084725561632855561, 0.0084743193935079997, 0.0084763256132330007, 0.0084786074558079565, 0.0084812043336631813, 0.0084841642053252921, 0.0084875459054032758, 0.008491422256951698, 0.0084958842868589745, 0.0085010470212207, 0.0085070575839978225, 0.0085141067193415555, 0.0085224455142108371, 0.0085324102129527464, 0.0085444599697828208, 0.0085592359318514572, 0.0085776567424303979, 0.0086010787847310005, 0.0086315770342880148, 0.0086724633746263491, 0.0087293044717579437, 0.0088120791462911185, 0.0089402117722111023, 0.0091558770159441711, 0.0095656544799167936, 0.010506799582491497, 0.013508284848812913, 0.029166898572032984, 0.024004964334809042, 0.011944904342714859, 0.0097365524045708064, 0.009059132104004837, 0.0087767958013804277, 0.0086361022218815319, 0.00855743252721455, 0.0085097851192082723, 0.0084791927906080825, 0.0084586625250129572, 0.0084444019010124407, 0.0084342213852688624, 0.0084267915822853635, 0.008421271245896679, 0.008417109304802918, 0.0084139340343704089, 0.0084114883038615574, 0.0084095903324464052, 0.0084081091381915628, 0.0084069487466368869, 0.0084060377818313183, 0.0084053224543140081, 0.0084047617446401605, 0.0084043240365904541, 0.0084039847262004017, 0.0084037244992069063, 0.0084035280736817208, 0.0084033832711506145, 0.008403280322780848, 0.0084032113458631773, 0.0084031699450691864, 0.0084031509060963436, 0.0084031499583896805, 0.008403163589981482, 0.0084031889019877092, 0.0084032234935191054, 0.0084032653700919589, 0.0084033128703225827, 0.0084033646069401873, 0.008403419419082226, 0.0084034763335314091, 0.0084035345330782871, 0.008403593330591522, 0.0084036521476824715, 0.0084037104970852306, 0.0084037679680545666, 0.0084038242142254367, 0.0084038789434884575, 0.0084039319095225735, 0.008403982904695113, 0.0084040317540940365, 0.008404078310500886, 0.0084041224501479484, 0.0084041640691312966, 0.0084042030803742826, 0.0084042394110544882, 0.0084042730004222771, 0.0084043037979514464, 0.0084043317617727587, 0.0084043568573493443, 0.0084043790563601908, 0.0084043983357635459, 0.0084044146770171999, 0.0084044280654365713, 0.0084044384896752172, 0.0084044459413154388, 0.0084044504145593234, 0.0084044519060130236, 0.0084044511603097293, 0.0084044489240389479, 0.0084044451997229014, 0.0084044399915815995, 0.008404433305557478, 0.0084044251493501382, 0.0084044155324615559, 0.0084044044662520707, 0.0084043919640076764, 0.0084043780410191851, 0.0084043627146739418, 0.0084043460045608795, 0.0084043279325898973, 0.0084043085231265396, 0.0084042878031432844, 0.0084042658023887971, 0.008404242553576715, 0.0084042180925957659, 0.0084041924587432634, 0.0084041656949842437, 0.0084041378482388567, 0.0084041089697009172, 0.0084040791151909558, 0.0084040483455475115, 0.0084040167270608909, 0.0084039843319542139, 0.0084039512389172451, 0.0084039175336991425, 0.0084038833097672128, 0.0084038486690397179, 0.0084038137227018944, 0.0084037785921156037, 0.0084037434098347061, 0.0084037083207398073, 0.008403673483308222, 0.0084036390710373297, 0.0084036052740422938, 0.0084035723008523584, 0.0084035403804338469, 0.0084035097644724385, 0.0084034807299527142, 0.0084034535820791383, 0.0084034286575904293, 0.0084034063285279067, 0.0084033870065293066, 0.008403371147732281, 0.0084033592583871788, 0.0084033519012973283, 0.008403349703227439, 0.0084033533634480847, 0.0084033636636175208, 0.0084033814792427667, 0.0084034077930120344, 0.0084034437103522354, 0.0084034904776421025, 0.0084035495036066058, 0.0084036223845379288, 0.0084037109341381852, 0.0084038172189690279, 0.0084039436007343447, 0.0084040927869308904, 0.00840426789179834, 0.0084044725100139474, 0.0084047108062464577, 0.0084049876245625207, 0.0084053086228407532, 0.008405680438897117, 0.0084061108971067184, 0.008406609267129047, 0.0084071865902071059, 0.0084078560938514891, 0.0084086337231848735, 0.0084095388277731515, 0.0084105950578679551, 0.0084118315458782175, 0.0084132844810868978, 0.0084149992337167728, 0.0084170332574717479, 0.0084194601125912264, 0.0084223751295276292, 0.0084259035203439886, 0.0084302122186107522, 0.0084355275313238234, 0.0084421620873276083, 0.0084505570934910457, 0.0084613506393886161, 0.0084754920249726102, 0.0084944410063162827, 0.0085205318571178797, 0.0085576770265202509, 0.0086128225353069941, 0.0086992195347272636, 0.0088445875250724223, 0.0091143952391775744, 0.0096907451195657295, 0.011199538173556829, 0.015976452814141451, 0.020073136560345071, 0.013243599494344335, 0.010465378991318849, 0.0094987162733672723, 0.0090769461949269815, 0.0088587904826260035, 0.0087318843114126427, 0.0086515932277514591, 0.0085975167938162553, 0.0085592960446594958, 0.0085312266886031964, 0.0085099595826331476, 0.0084934236319712132, 0.0084802820631655826, 0.0084696405282636677, 0.0084608821314849751, 0.0084535700324435779, 0.0084473877505484556, 0.0084421013679829918, 0.0084375349067907675, 0.0084335538797525016, 0.0084300540531285738, 0.0084269536146525555, 0.0084241876156170362, 0.0084217039619420685, 0.00841946047940852, 0.0084174227360655496, 0.008415562406420914, 0.0084138560286744265, 0.0084122840507451363, 0.008410830091018574, 0.0084070487571026586, 0.0084039438403464353, 0.0084013475474341258, 0.0083991591616708067, 0.0083973241195081771, 0.0083958234485652771, 0.0083946696298555553, 0.0083939071405182766, 0.008393617158077871, 0.008393926729617137, 0.0083950233903069323, 0.0083971768595580767, 0.0084007700051812184, 0.0084063414298602077, 0.0084146408667319181, 0.0084266937567660811, 0.0084438577719075127, 0.008467821683745937, 0.0085004313781223695, 0.0085431248041607805, 0.0085956851883182278, 0.008654257188034125, 0.0087096226839752881, 0.008748442184731451, 0.008759705572709154, 0.0087426909297394374, 0.0087077233482144665, 0.0086683054647784599, 0.0086334785216169319, 0.008606318522634401, 0.0085862895231143908, 0.0085716778342275826, 0.0085608351648693258, 0.0085525385766762017, 0.0085459728311342124, 0.008540617895836055, 0.0085361449320889814, 0.0085323429216209463, 0.0085290721240123234, 0.0085262359460943019, 0.0085237642799217781, 0.0085216036729063374, 0.0085197114895421595, 0.0085180523930315638, 0.0085165961807476265, 0.0085153164185397014, 0.0085141895544591471, 0.0085131943266935975, 0.0085123113569947877, 0.0085115228646813704, 0.008510812461559162, 0.0085101650028165127, 0.0085095664776361855, 0.0085090039284767913, 0.0085084653911788235, 0.0085079398500822415, 0.0085074172036906717, 0.008506888237364868, 0.00850634460023862, 0.0085057787841196445, 0.0085051841026190875, 0.0085045546691752301, 0.008503885373014301, 0.0085031718524289177, 0.0085024104650545679, 0.0085015982550843885, 0.008500732917581964, 0.0084998127602283098, 0.008498836662973748, 0.0084978040361582165, 0.0084967147777176826, 0.008495569230113232, 0.0084943681376077051, 0.0084931126044776439, 0.0084918040546913473, 0.0084904441935128271, 0.0084890349714106597, 0.0084875785505665862, 0.0084860772741933762, 0.0084845336387898481, 0.0084829502693848976, 0.0084813298977538566, 0.0084796753435308295, 0.0084779894980904803, 0.0084762753110316676, 0.0084745357790639159, 0.0084727739370742197, 0.0084709928511364808, 0.0084691956132169344, 0.0084673853373263101, 0.0084655651568711979, 0.0084637382229631221, 0.0084619077034528076, 0.0084600767824684689, 0.0084582486602501686, 0.0084564265530865917, 0.0084546136931759313, 0.0084528133282484718, 0.0084510287208045317, 0.0084492631468379813, 0.0084475198939322517, 0.0084458022586322637, 0.008444113543012971, 0.008442457050381956, 0.0084408360800711704, 0.0084392539212899704, 0.0084377138460297787, 0.0084362191010281962, 0.0084347728988185856, 0.0084333784079089445, 0.0084320387421518688, 0.0084307569493846327, 0.0084295359994352847, 0.008428378771606581, 0.0084272880417642429, 0.0084262664691691722, 0.0084253165832044643, 0.0084244407701570927, 0.0084236412602208127, 0.0084229201148901083, 0.0084222792149159752, 0.0084217202489914392, 0.0084212447033288045, 0.008420853852281392, 0.0084205487501497547, 0.0084203302242969302, 0.0084201988696787616, 0.0084201550448742973, 0.0084201842629308098, 0.0084202718554353961, 0.0084204176376029543, 0.008420621302154839, 0.0084208824203547625, 0.0084212004434414053, 0.0084215747044403665, 0.0084220044203334628, 0.0084224886945590861, 0.0084230265198134528, 0.0084236167811187149, 0.008424258259121041, 0.0084249496335787669, 0.0084256894869985718, 0.0084264763083759259, 0.0084273084969946552, 0.0084281843662399655, 0.0084291021473789311, 0.0084300599932629772, 0.0084310559819077424, 0.0084320881199071579, 0.0084331543456408718, 0.0084342525322362912, 0.0084353804902502962, 0.0084365359700388828, 0.0084377166637877379, 0.0084389202071814898, 0.0084401441806952453, 0.0084413861104980833, 0.0084426434689656108, 0.0084439136748060799, 0.0084451940928137823, 0.0084464820332726988, 0.0084477747510440966, 0.0084490694443833687, 0.0084503632535441325, 0.0084516532592412014, 0.0084529364810589959, 0.0084542098759077897, 0.0084554703366469409, 0.0084567146910117692, 0.0084579397009989146, 0.0084591420628831356, 0.0084603184080564511, 0.008461465304897553, 0.008462579261894778, 0.0084636567322585576, 0.0084646941202684636, 0.0084656877896039581, 0.0084666340739057259, 0.0084675292898044267, 0.008468369752633929, 0.0084691517950154765, 0.0084698717884560699, 0.0084705261680470163, 0.0084711114602770352, 0.0084716243138872396, 0.0084720615335937503, 0.008472420116388709, 0.008472697290004232, 0.008472890552990258, 0.0084729977157206645, 0.0084730169415089124, 0.0084729467868917014, 0.0084727862400346375, 0.0084725347561364558, 0.0084721922886658637, 0.0084717593152654203, 0.0084712368572063129, 0.0084706264913798918, 0.00846993035396831, 0.0084691511351444385, 0.0084682920644052403, 0.008467356886433141, 0.0084663498276934777, 0.0084652755542979907, 0.0084641391219770976, 0.0084629459192899267, 0.0084617016054447467, 0.008460412044289, 0.0084590832361477446, 0.0084577212492350905, 0.0084563321523345031, 0.0084549219503439622, 0.0084534965241187861, 0.0084520615758307324, 0.00845062258080999, 0.0084491847465636878, 0.0084477529793847827, 0.0084463318586941814, 0.0084449256190089056, 0.0084435381392092088, 0.0084421729385956643, 0.0084408331790862389, 0.0084395216728045779, 0.0084382408942523628, 0.0084369929962376331, 0.0084357798287413577, 0.0084346029599423195, 0.0084334636986776804, 0.0084323631176888535, 0.0084313020770833535, 0.0084302812475285146, 0.0084293011327783007, 0.0084283620912166315, 0.0084274643561775397, 0.0084266080548719494, 0.0084257932258126004, 0.0084250198346816473, 0.0084242877886300249, 0.0084235969490342091, 0.0084229471427647567, 0.0084223381720429785, 0.0084217698229781656, 0.0084212418728882264, 0.0084207540965130015, 0.0084203062712317114, 0.0084198981813957043, 0.008419529621884381, 0.0084192004009874862, 0.008418910342710275, 0.0084186592885908962, 0.0084184470991106874, 0.0084182736547695099, 0.0084181388568889057, 0.0084180426281962682, 0.0084179849132339068, 0.0084179656786268608], [0.0086194911587596894, 0.0086195320205567673, 0.0086196545538681918, 0.008619858602932115, 0.0086201439097341181, 0.0086205101163784638, 0.0086209567683847264, 0.0086214833188872041, 0.0086220891337089271, 0.0086227734972768068, 0.0086235356193403931, 0.0086243746424528294, 0.0086252896501698602, 0.008626279675921153, 0.0086273437125071704, 0.0086284807221751296, 0.0086296896472288775, 0.0086309694211302093, 0.0086323189800522702, 0.0086337372748509569, 0.0086352232834258393, 0.0086367760234496108, 0.0086383945654532352, 0.008640078046264113, 0.0086418256828056806, 0.0086436367862796071, 0.0086455107767665958, 0.0086474471982979986, 0.0086494457344694856, 0.0086515062246895324, 0.0086536286811798157, 0.0086558133068737626, 0.0086580605143921369, 0.0086603709463140745, 0.0086627454970079204, 0.00866518533634166, 0.0086676919356588385, 0.0086702670964862519, 0.008672912982537662, 0.0086756321556975859, 0.0086784276168175006, 0.0086813028523401361, 0.0086842618879964407, 0.0086873093511061587, 0.0086904505433732949, 0.0086936915265230334, 0.0086970392237046019, 0.0087005015403213322, 0.0087040875088931109, 0.008707807463771507, 0.008711673253100221, 0.0087156984974594096, 0.0087198989073111986, 0.008724292674893188, 0.0087289009608924866, 0.0087337485025020221, 0.0087388643779232993, 0.0087442829739150778, 0.0087500452188780387, 0.0087562001661161334, 0.0087628070431881901, 0.0087699379280361551, 0.0087776812776532223, 0.0087861466312057056, 0.0087954709541204334, 0.0088058273113101344, 0.0088174369046317529, 0.0088305860650656626, 0.0088456507015655366, 0.0088631322458615734, 0.0088837118057444354, 0.0089083340497490195, 0.0089383413448326943, 0.0089756962669803753, 0.0090233668365749947, 0.009086028056780996, 0.0091714194387754709, 0.0092931749977892015, 0.0094773025562005613, 0.009778943182120494, 0.0103335666559741, 0.011556311875792345, 0.015293806222036575, 0.038946398111492211, 0.060513743957869105, 0.015321879681562713, 0.010702790394066845, 0.0095324993279352153, 0.0090906832010433127, 0.0088850715228102513, 0.0087763317190015285, 0.0087136875102578303, 0.0086753456085504246, 0.0086508125356049865, 0.0086345856360467415, 0.0086235830485042082, 0.0086159860589331075, 0.0086106747675504143, 0.0086069348557544102, 0.0086042969852559489, 0.0086024448700281718, 0.0086011606456002764, 0.0086002913395927839, 0.0085997277091714834, 0.0085993905528821794, 0.0085992216636705567, 0.0085991777335812439, 0.0085992261760415353, 0.0085993422178863091, 0.0085995068466907989, 0.0085997053432513501, 0.0085999262200741212, 0.0086001604452315764, 0.0086004008691871001, 0.0086006417975755742, 0.0086008786700230537, 0.0086011078167519198, 0.0086013262727715825, 0.0086015316350790318, 0.0086017219522625029, 0.0086018956387302788, 0.0086020514078222476, 0.0086021882195400773, 0.0086023052397159322, 0.0086024018082423905, 0.0086024774145876982, 0.0086025316792772109, 0.0086025643403750528, 0.0086025752442795891, 0.0086025735963175982, 0.00860256865299747, 0.008602560416053201, 0.008602548888497024, 0.0086025340748058995, 0.008602515981188651, 0.0086024946159403218, 0.0086024699898920969, 0.0086024421169678469, 0.0086024110148608512, 0.0086023767058475645, 0.0086023392177588445, 0.0086022985851334985, 0.0086022548505840478, 0.008602208066410922, 0.0086021582965085195, 0.0086021056186156505, 0.0086020501269737024, 0.0086019919354691256, 0.0086019311813530352, 0.0086018680296507197, 0.0086018026783984593, 0.0086017353648754936, 0.0086016663730371333, 0.0086015960424022705, 0.0086015247787084321, 0.0086014530667224767, 0.008601381485690552, 0.0086013107280323436, 0.00860124162204025, 0.0086011751595444271, 0.0086011125297642977, 0.008601055160905478, 0.0086010047715047635, 0.0086009634341122927, 0.0086009336546798466, 0.0086009184720698337, 0.0086009215835126333, 0.0086009475037661307, 0.0086010017683808473, 0.0086010911951544308, 0.0086012242230245478, 0.008601411354979915, 0.0086016657420965401, 0.0086020039611205898, 0.0086024470606043367, 0.0086030219844113343, 0.0086037635328423869, 0.0086047171012714665, 0.0086059425618727203, 0.0086075198566153161, 0.0086095572039102918, 0.0086122033869316973, 0.0086156665766838891, 0.0086202439140718526, 0.0086263693769105688, 0.0086346938702432582, 0.0086462245330225264, 0.008662578324937201, 0.0086864693241138682, 0.0087227085436451749, 0.0087804283952902951, 0.0088785678971189681, 0.0090613560296995323, 0.0094509582304687489, 0.010482629288478368, 0.014507279196248016, 0.036896173494265362, 0.020361085670263783, 0.012146608330929894, 0.010277286630036141, 0.0095969561586426652, 0.0092747191698799008, 0.0090959277457737416, 0.0089858036416153152, 0.0089127794320310368, 0.008861632054380765, 0.0088242673129179244, 0.0087960475161319353, 0.0087741537838274559, 0.0087567887795668674, 0.0087427602851946479, 0.008731250758650751, 0.008721683498719773, 0.0087136416615300055, 0.0087068174976858148, 0.0087009795412744517, 0.0086959508233303527, 0.0086915940565243394, 0.0086878013438580412, 0.0086844868919511448, 0.0086815817616634518, 0.0086790300262550302, 0.0086767859185465108, 0.0086748116837047536, 0.0086730759424888618, 0.0086715524284145373, 0.0086702190019121213, 0.0086690568717480015, 0.0086680499729206491, 0.0086671844636235264, 0.0086664483134523095, 0.0086658309619995523, 0.0086653230321215302, 0.0086649160860245936, 0.0086646024152804112, 0.008664374858205379, 0.0086642266399144033, 0.0086641512319116099, 0.00866414222939451, 0.0086641932455756854, 0.0086642978232886209, 0.0086644493649411548, 0.0086646410824890042, 0.0086648659694850798, 0.0086651167973705329, 0.008665386137961641, 0.0086656664135129971, 0.0086659499747835274, 0.0086662292062141544, 0.0086664966557050485, 0.0086667451846700137, 0.0086669681322077263, 0.0086671594855679199, 0.0086673140478240856, 0.0086674275930016045, 0.0086674969990119845, 0.0086675203496912479, 0.008667496999011981, 0.0086674275930016045, 0.0086673140478240873, 0.0086671594855679216, 0.0086669681322077228, 0.0086667451846700119, 0.0086664966557050468, 0.0086662292062141544, 0.0086659499747835291, 0.0086656664135129971, 0.0086653861379616375, 0.0086651167973705312, 0.0086648659694850798, 0.0086646410824890042, 0.0086644493649411583, 0.0086642978232886209, 0.0086641932455756836, 0.0086641422293945065, 0.0086641512319116133, 0.0086642266399144068, 0.0086643748582053773, 0.0086646024152804129, 0.0086649160860245954, 0.0086653230321215319, 0.0086658309619995523, 0.0086664483134523112, 0.0086671844636235264, 0.0086680499729206491, 0.0086690568717479998, 0.0086702190019121248, 0.0086715524284145407, 0.0086730759424888636, 0.0086748116837047553, 0.0086767859185465143, 0.0086790300262550319, 0.0086815817616634448, 0.0086844868919511396, 0.0086878013438580412, 0.0086915940565243429, 0.0086959508233303475, 0.0087009795412744534, 0.0087068174976858113, 0.0087136416615300107, 0.0087216834987197765, 0.0087312507586507476, 0.0087427602851946392, 0.0087567887795668639, 0.008774153783827468, 0.0087960475161318972, 0.0088242673129179036, 0.008861632054380765, 0.008912779432030898, 0.0089858036416152181, 0.009095927745773575, 0.00927471916987954, 0.0095969561586425039, 0.010277286630035323, 0.012146608330927084, 0.020361085670242637, 0.036896173494294138, 0.014507279196258676, 0.010482629288478517, 0.009450958230469762, 0.0090613560296997145, 0.008878567897118923, 0.0087804283952902813, 0.0087227085436451975, 0.0086864693241138335, 0.0086625783249371941, 0.0086462245330225108, 0.0086346938702432461, 0.008626369376910567, 0.0086202439140718526, 0.0086156665766838891, 0.0086122033869317025, 0.0086095572039102935, 0.0086075198566153109, 0.0086059425618727203, 0.008604717101271463, 0.0086037635328423852, 0.0086030219844113378, 0.008602447060604335, 0.0086020039611205863, 0.0086016657420965401, 0.008601411354979915, 0.0086012242230245495, 0.008601091195154429, 0.008601001768380849, 0.0086009475037661289, 0.0086009215835126333, 0.0086009184720698337, 0.0086009336546798501, 0.0086009634341122927, 0.0086010047715047618, 0.0086010551609054797, 0.0086011125297642994, 0.0086011751595444236, 0.00860124162204025, 0.0086013107280323419, 0.0086013814856905502, 0.0086014530667224802, 0.0086015247787084338, 0.008601596042402267, 0.0086016663730371298, 0.0086017353648754919, 0.0086018026783984541, 0.0086018680296507197, 0.0086019311813530334, 0.0086019919354691273, 0.0086020501269737058, 0.0086021056186156523, 0.0086021582965085212, 0.0086022080664109202, 0.0086022548505840495, 0.0086022985851334985, 0.0086023392177588462, 0.0086023767058475663, 0.0086024110148608512, 0.0086024421169678469, 0.0086024699898920986, 0.0086024946159403218, 0.0086025159811886527, 0.0086025340748058961, 0.008602548888497024, 0.0086025604160531993, 0.00860256865299747, 0.0086025735963175982, 0.0086025752442795873, 0.0086025744203377351, 0.0086025719492629528, 0.0086025678333120203, 0.00860256207626095, 0.0086025546834272455, 0.0086025456617012819, 0.0086025350195870817, 0.0086025227672528928, 0.0086025089165918875, 0.0086024934812936032, 0.0086024764769266609, 0.0086024579210334864, 0.008602437833237938, 0.0086024162353666427, 0.0086023931515852824, 0.0086023686085509518, 0.0086023426355820512, 0.0086023152648472632, 0.0086022865315754579, 0.0086022564742884739, 0.0086022251350591529, 0.0086021925597971581, 0.0086021587985654954, 0.0086021239059310851, 0.0086020879413530871, 0.0086020509696131588, 0.0086020130612925599, 0.0086019742933013919, 0.0086019347494662394, 0.0086018945211831961, 0.0086018537081442911, 0.0086018124191463759, 0.0086017707729929699, 0.0086017288995009576, 0.0086016869406257933, 0.0086016450517209953, 0.0086016034029499765, 0.008601562180871096, 0.0086015215902200889, 0.0086014818559178134, 0.0086014432253358163, 0.0086014059708574807, 0.0086013703927788985, 0.0086013368226010387, 0.0086013056267737493, 0.0086012772109627551, 0.0086012520249236449, 0.0086012305680820914, 0.0086012133959382196, 0.0086012011274353289, 0.0086011944534605065, 0.0086011941466778551, 0.0086012010729357435, 0.0086012162045394133, 0.0086012406357421235, 0.0086012756008843165, 0.0086013224957057453, 0.0086013829024745858, 0.0086014586197276331, 0.0086015516976052833, 0.0086016644800059831, 0.0086017996550932212, 0.008601960316084659, 0.0086021500347663957, 0.0086023729508446552, 0.0086026338811256448, 0.0086029384536760543, 0.0086032932736652603, 0.0086037061296717759, 0.0086041862520592222, 0.0086047446388911389, 0.008605394470197085, 0.0086061516388697568, 0.008607035437029566, 0.0086080694518008167, 0.0086092827463517003, 0.0086107114342733708, 0.0086124008035012387, 0.008614408219069546, 0.0086168071470093845, 0.0086196928199520784, 0.008623190352289728, 0.0086274665869445748, 0.0086327477594445989, 0.0086393464675687398, 0.0086477039645078534, 0.0086584585284358532, 0.0086725599055696694, 0.0086914687650698919, 0.0087175211490280596, 0.0087546328729315743, 0.0088097563871005324, 0.0088961553139004935, 0.0090415738098993548, 0.0093115295792230365, 0.0098882170883458787, 0.011397744469316096, 0.016182100751101984, 0.020355847052667995, 0.013487424257222859, 0.010682364516663965, 0.0097067716058018734, 0.0092812282677907192, 0.009061131097322957, 0.0089330815650757595, 0.0088520501448422356, 0.0087974598674443877, 0.0087588631416453851, 0.0087305070455354263, 0.0087090138288175994, 0.0086922946029020596, 0.0086790010103169127, 0.0086682308705439432, 0.0086593618199257288, 0.0086519530955593386, 0.008645685336109276, 0.0086403224645234932, 0.0086356868552964934, 0.0086316427442416823, 0.0086280848941243417, 0.008624930694435675, 0.0086221145546667589, 0.0086195838598719932, 0.0086172960096928264, 0.0086152162211596828, 0.0086133158780425587, 0.008611571276734056, 0.008609962663515611, 0.0086057998972795344, 0.008602400150604643, 0.008599564042792553, 0.0085971708859949036, 0.008595152597603779, 0.0085934802592553851, 0.0085921582116607019, 0.0085912233485988306, 0.0085907487460973337, 0.0085908516777074406, 0.0085917067521763257, 0.0085935654910387956, 0.0085967840978102804, 0.0086018611436791837, 0.0086094855198998715, 0.0086205901758593106, 0.0086363943950985029, 0.0086583885008008413, 0.0086881594177247862, 0.0087268751278680497, 0.0087742068594979204, 0.008826700771018714, 0.0088764842805193513, 0.0089124591149843356, 0.008925549802753693, 0.0089149358805103631, 0.0088886425754449109, 0.0088574796315045393, 0.0088290010739821428, 0.0088060931943842683, 0.0087886601181172905, 0.0087755251220134143, 0.0087654629768650072, 0.0087575336552280468, 0.0087510973555499118, 0.0087457390626061639, 0.0087411918011084909, 0.00873728069849488, 0.0087338869691932497, 0.0087309259995824069, 0.0087283343372258921, 0.0087260620132314174, 0.0087240679819513486, 0.0087223173680577009, 0.0087207797643540051, 0.0087194281473844063, 0.0087182381632570308, 0.0087171876412263649, 0.0087162562520510713, 0.0087154252618529583, 0.0087146773514127137, 0.0087139964818795743, 0.0087133677942998217, 0.0087127775341822034, 0.0087122129946464993, 0.0087116624731849723, 0.0087111152380708289, 0.0087105615011810536, 0.0087099923945809198, 0.0087093999487099071, 0.008708777070447574, 0.0087081175197404794, 0.0087074158838426931, 0.0087066675485627486, 0.008705868666217002, 0.0087050161202579489, 0.0087041074867742867, 0.0087031409932434196, 0.0087021154750570005, 0.0087010303304360399, 0.008699885474406914, 0.0086986812925268324, 0.0086974185950321886, 0.0086960985720408793, 0.0086947227503765909, 0.0086932929525049933, 0.0086918112579838624, 0.0086902799677377393, 0.0086887015713755997, 0.0086870787176822131, 0.008685414188332137, 0.008683710874802214, 0.0086819717583948661, 0.0086801998932312229, 0.0086783983920300303, 0.008676570414455187, 0.0086747191577906425, 0.0086728478496857792, 0.0086709597427057517, 0.0086690581104190215, 0.0086671462447571335, 0.008665227454388481, 0.0086633050638583037, 0.0086613824132593664, 0.0086594628582125546, 0.0086575497699519569, 0.0086556465353257624, 0.008653756556541185, 0.0086518832504991067, 0.0086500300475816291, 0.0086482003897734531, 0.0086463977280157346, 0.0086446255187091117, 0.0086428872193003835, 0.0086411862829059456, 0.0086395261519429736, 0.0086379102507585185, 0.0086363419772650923, 0.0086348246936102293, 0.0086333617159264995, 0.008631956303227049, 0.0086306116455299002, 0.0086293308513120739, 0.0086281169344110346, 0.0086269728005066524, 0.0086259012333303534, 0.0086249048807602244, 0.0086239862409700409, 0.0086231476488072816, 0.008622391262578754, 0.008621719051423251, 0.0086211327834478102, 0.00862063401479779, 0.0086202240798214282, 0.0086199040824759127, 0.0086196748891060517, 0.008619537122706895, 0.0086194911587596894, 0.0086195218029804076, 0.0086196136710390663, 0.0086197665693449471, 0.0086199801759764966, 0.00862025404176648, 0.0086205875918026025, 0.0086209801273254127, 0.008621430828000258, 0.0086219387545357785, 0.0086225028516170674, 0.0086231219511178833, 0.0086237947755529679, 0.0086245199417286089, 0.0086252959645471451, 0.0086261212609195087, 0.0086269941537381479, 0.0086279128758624379, 0.0086288755740681101, 0.0086298803129128323, 0.0086309250784710224, 0.0086320077818924749, 0.0086331262627416024, 0.0086342782920767504, 0.0086354615752324924, 0.0086366737542716478, 0.008637912410078382, 0.0086391750640690285, 0.0086404591795032244, 0.008641762162384466, 0.0086430813619469259, 0.0086444140707333302, 0.0086457575242781786, 0.0086471089004207143, 0.0086484653182829722, 0.0086498238369609563, 0.0086511814539900825, 0.0086525351036607703, 0.0086538816552756762, 0.0086552179114570919, 0.0086565406066307204, 0.0086578464058307027, 0.0086591319039902356, 0.008660393625901288, 0.0086616280270461789, 0.0086628314955220428, 0.0086640003552954543, 0.0086651308710382832, 0.0086662192548055423, 0.0086672616748205058, 0.0086682542666300742, 0.0086691931468827754, 0.0086700744299606919, 0.0086708942476644152, 0.0086716487721036836, 0.0086723342418856056, 0.0086729469916159586, 0.0086734834846359955, 0.0086739403488091064, 0.0086743144150485535, 0.008674602758143116, 0.0086748027392946347, 0.00867491204963587, 0.0086749287538551607, 0.0086748513329235194, 0.008674678724808902, 0.0086744103619801356, 0.0086740462044588157, 0.0086735867671787412, 0.0086730331404665378, 0.0086723870025675019, 0.0086716506233090219, 0.0086708268582171219, 0.0086699191326739672, 0.0086689314160145938, 0.0086678681857961341, 0.0086667343828157693, 0.0086655353577862922, 0.0086642768108816572, 0.0086629647256223526, 0.0086616052987662749, 0.0086602048679948404, 0.0086587698392290424, 0.0086573066153759516, 0.0086558215281960314, 0.0086543207748048957, 0.0086528103600924146, 0.0086512960460721003, 0.008649783308882204, 0.0086482773038621466, 0.00864678283884035, 0.0086453043555049167, 0.0086438459184966735, 0.0086424112116731209, 0.0086410035408445128, 0.0086396258421808075, 0.0086382806954289799, 0.0086369703410599328, 0.0086356967004777851, 0.008634461398465727, 0.0086332657871051911, 0.0086321109704826388, 0.0086309978295850444, 0.0086299270468758928, 0.0086288991301342929, 0.0086279144352268636, 0.0086269731875632354, 0.0086260755020596269, 0.0086252214014996033, 0.0086244108332371242, 0.0086236436842335971, 0.0086229197944588266, 0.0086222389687158792, 0.0086216009869726721, 0.0086210056132996517, 0.0086204526035237369, 0.0086199417117151338, 0.0086194726956256851, 0.008619045321196896, 0.0086186593662521752, 0.0086183146234825904, 0.0086180109028284532, 0.0086177480333511705, 0.0086175258646807602, 0.0086173442681152426, 0.0086172031374382053, 0.0086171023895107324, 0.0086170419646839878, 0.0086170218270682306], [0.0087837455999897722, 0.0087837881417468702, 0.0087839157131179846, 0.0087841281529027013, 0.0087844251940973478, 0.0087848064663783674, 0.0087852714995549433, 0.0087858197279675181, 0.0087864504958028323, 0.0087871630632908714, 0.0087879566137447039, 0.0087888302614003763, 0.0087897830600111339, 0.0087908140121487847, 0.0087919220791638931, 0.0087931061917570601, 0.0087943652611150308, 0.0087956981905682238, 0.0087971038877298329, 0.0087985812770823811, 0.0088001293129835751, 0.0088017469930715738, 0.0088034333720585674, 0.0088051875759125233, 0.0088070088164390846, 0.0088088964062893911, 0.0088108497744358028, 0.0088128684821750704, 0.0088149522397395104, 0.0088171009236199596, 0.0088193145947314065, 0.0088215935175838724, 0.0088239381806574039, 0.008826349318223457, 0.0088288279339059361, 0.0088313753263366164, 0.0088339931173328674, 0.008836683283115215, 0.0088394481891912596, 0.0088422906296658863, 0.0088452138719033735, 0.0088482217076718429, 0.0088513185121564548, 0.0088545093125487525, 0.0088577998683236989, 0.0088611967658274275, 0.0088647075304492378, 0.0088683407604818864, 0.0088721062878405563, 0.0088760153721866783, 0.0088800809367869955, 0.0088843178567667245, 0.0088887433134727644, 0.0088933772327045094, 0.0088982428299540731, 0.008903367293029648, 0.0089087826422386031, 0.0089145268217296156, 0.008920645094174404, 0.0089271918370058562, 0.008934232875394044, 0.008941848540380222, 0.0089501377184663597, 0.0089592232748122759, 0.0089692594077117171, 0.0089804417632366393, 0.008993021567131311, 0.0090073257231110572, 0.0090237859745434888, 0.0090429821854082701, 0.0090657082481237963, 0.0090930754308271768, 0.0091266799752303032, 0.0091688856904252741, 0.0092233227176204743, 0.0092958169763591534, 0.0093962399715340483, 0.0095425028823502029, 0.0097701244441971841, 0.010158529947628083, 0.010918648741363278, 0.01278327084090407, 0.019888840965914398, 0.087928667987471093, 0.028368170869792968, 0.01275082863627783, 0.010247281342034835, 0.0094751996183579743, 0.0091539509003789477, 0.008995711953812777, 0.0089089242092786833, 0.0088576846669737759, 0.0088257889526758022, 0.0088051441769646365, 0.0087913876180717495, 0.0087820227952873486, 0.0087755511207060835, 0.0087710370601763836, 0.008767877180422691, 0.0087656713410998646, 0.0087641478338273543, 0.0087631183168726916, 0.0087624498507944664, 0.0087620470814158431, 0.0087618406219210423, 0.0087617793204598695, 0.0087618250191250895, 0.0087619489430940962, 0.0087621291759772454, 0.0087623488708656692, 0.0087625949671153985, 0.0087628572595086687, 0.0087631277159898862, 0.0087633999727592549, 0.0087636689572543006, 0.0087639306042631669, 0.0087641816404942265, 0.008764419419914047, 0.0087646417970613059, 0.0087648470290097522, 0.0087650336991292772, 0.0087652006575801075, 0.0087653469747746918, 0.0087654719049963629, 0.0087655748580718496, 0.0087656553775257405, 0.0087657131240487032, 0.0087657478634237309, 0.0087657594583021442, 0.0087657576944653957, 0.0087657524030920891, 0.0087657435846247699, 0.0087657312399075371, 0.0087657153703485629, 0.0087656959781530885, 0.0087656730666326298, 0.0087656466405979568, 0.0087656167068455946, 0.0087655832747500113, 0.0087655463569764665, 0.0087655059703326751, 0.0087654621367815357, 0.0087654148846413246, 0.0087653642500057655, 0.0087653102784223877, 0.0087652530268759292, 0.0087651925661328903, 0.0087651289835152003, 0.0087650623861850636, 0.008764992905040847, 0.0087649206993452595, 0.008764845962234015, 0.0087647689272862279, 0.0087646898763794837, 0.0087646091491042633, 0.0087645271540779217, 0.0087644443825810863, 0.0087643614250443921, 0.0087642789910477147, 0.0087641979336663678, 0.0087641192792212858, 0.008764044263779398, 0.0087639743781282239, 0.0087639114234461715, 0.0087638575805488398, 0.0087638154964713166, 0.0087637883933296568, 0.0087637802060096769, 0.0087637957574274485, 0.0087638409831390009, 0.0087639232213083899, 0.0087640515900092343, 0.0087642374823429271, 0.0087644952221390873, 0.0087648429409697727, 0.0087653037638638215, 0.0087659074312664009, 0.0087666925463089334, 0.0087677097324279987, 0.0087690261390957879, 0.0087707319818199399, 0.0087729502164131702, 0.0087758511556854223, 0.0087796750851319751, 0.0087847682099757105, 0.0087916415746651551, 0.0088010711140645379, 0.0088142746959034707, 0.0088332409958993448, 0.0088613770075680835, 0.0089048766357788037, 0.0089758812543978047, 0.0091006586442152915, 0.0093442469413726401, 0.0099024589863469896, 0.011576463912747631, 0.019732745174986917, 0.038271110651733241, 0.01579556126729266, 0.011379039652001115, 0.010139695384767897, 0.0096311951002910762, 0.0093728105368466128, 0.0092227585171701879, 0.009127343854613305, 0.0090625709257409343, 0.0090163798632493641, 0.0089821539053599637, 0.0089560071765080029, 0.0089355302433420589, 0.0089191613855296916, 0.0089058502906648532, 0.008894868218692082, 0.0088856958800733014, 0.0088779546039050704, 0.0088713626471209825, 0.0088657066418040935, 0.0088608224503290024, 0.0088565820325589174, 0.0088528842514859103, 0.0088496483167504175, 0.0088468090305071963, 0.0088443132870908835, 0.0088421174591829122, 0.0088401854200802297, 0.0088384870285213111, 0.0088369969539520542, 0.0088356937550919477, 0.0088345591488170443, 0.0088335774233021368, 0.0088327349613930156, 0.0088320198488500527, 0.0088314215484477793, 0.0088309306256319081, 0.0088305385150075147, 0.0088302373196936096, 0.0088300196377630747, 0.0088298784117540104, 0.0088298067986965646, 0.0088297980593177155, 0.0088298454661004406, 0.0088299422306940805, 0.0088300814517900204, 0.0088302560849630677, 0.008830458936100672, 0.0088306826798609326, 0.0088309199040886664, 0.0088311631802662563, 0.0088314051589041421, 0.0088316386873435269, 0.0088318569458555648, 0.0088320535963223243, 0.0088322229363536741, 0.008832360050621069, 0.0088324609506533879, 0.008832522694476385, 0.0088325434783532268, 0.0088325226944763798, 0.0088324609506533879, 0.008832360050621069, 0.0088322229363536741, 0.008832053596322326, 0.0088318569458555631, 0.0088316386873435269, 0.0088314051589041438, 0.008831163180266258, 0.0088309199040886698, 0.0088306826798609326, 0.0088304589361006668, 0.008830256084963066, 0.0088300814517900204, 0.0088299422306940857, 0.0088298454661004389, 0.0088297980593177155, 0.0088298067986965559, 0.0088298784117540156, 0.0088300196377630782, 0.0088302373196936026, 0.008830538515007513, 0.0088309306256319098, 0.008831421548447781, 0.0088320198488500527, 0.0088327349613930174, 0.0088335774233021368, 0.0088345591488170443, 0.0088356937550919459, 0.0088369969539520577, 0.0088384870285213146, 0.0088401854200802262, 0.0088421174591829105, 0.008844313287090887, 0.0088468090305071981, 0.0088496483167504105, 0.0088528842514859051, 0.0088565820325589156, 0.0088608224503290041, 0.00886570664180409, 0.0088713626471209808, 0.0088779546039050704, 0.0088856958800733084, 0.0088948682186920872, 0.0089058502906648462, 0.0089191613855296829, 0.0089355302433420502, 0.0089560071765080202, 0.0089821539053599134, 0.0090163798632493346, 0.0090625709257409325, 0.0091273438546131264, 0.0092227585171700596, 0.0093728105368463752, 0.0096311951002905332, 0.010139695384767644, 0.011379039651999526, 0.015795561267284503, 0.038271110651700538, 0.019732745175004743, 0.011576463912751432, 0.0099024589863471301, 0.0093442469413732195, 0.0091006586442154095, 0.0089758812543977735, 0.0089048766357787967, 0.0088613770075680991, 0.0088332409958993205, 0.0088142746959034655, 0.0088010711140645275, 0.0087916415746651447, 0.0087847682099757071, 0.0087796750851319716, 0.0087758511556854206, 0.0087729502164131737, 0.0087707319818199434, 0.0087690261390957827, 0.0087677097324279987, 0.0087666925463089317, 0.0087659074312664027, 0.008765303763863825, 0.0087648429409697727, 0.0087644952221390873, 0.0087642374823429271, 0.0087640515900092343, 0.0087639232213083881, 0.0087638409831390027, 0.0087637957574274485, 0.0087637802060096769, 0.0087637883933296568, 0.0087638154964713184, 0.0087638575805488415, 0.0087639114234461732, 0.0087639743781282257, 0.008764044263779398, 0.0087641192792212875, 0.0087641979336663678, 0.0087642789910477147, 0.0087643614250443886, 0.0087644443825810863, 0.0087645271540779217, 0.008764609149104265, 0.008764689876379482, 0.0087647689272862261, 0.008764845962234015, 0.0087649206993452595, 0.008764992905040847, 0.0087650623861850654, 0.0087651289835152003, 0.0087651925661328955, 0.0087652530268759257, 0.0087653102784223877, 0.0087653642500057638, 0.0087654148846413246, 0.0087654621367815339, 0.0087655059703326769, 0.0087655463569764631, 0.0087655832747500113, 0.0087656167068455929, 0.0087656466405979568, 0.0087656730666326298, 0.0087656959781530867, 0.0087657153703485577, 0.0087657312399075354, 0.0087657435846247682, 0.0087657524030920909, 0.0087657576944653957, 0.0087657594583021425, 0.0087657585764348549, 0.0087657559315128843, 0.008765751525579955, 0.0087657453620556547, 0.0087657374457556642, 0.0087657277829202868, 0.0087657163812515249, 0.0087657032499590063, 0.0087656883998151764, 0.0087656718432201457, 0.008765653594276843, 0.0087656336688769643, 0.0087656120847986428, 0.0087655888618165118, 0.0087655640218252465, 0.0087655375889776413, 0.0087655095898384761, 0.0087654800535555862, 0.0087654490120497273, 0.0087654165002250539, 0.0087653825562022305, 0.0087653472215764878, 0.0087653105417031633, 0.0087652725660137022, 0.0087652333483654466, 0.0087651929474288071, 0.008765151427116211, 0.0087651088570574846, 0.0087650653131271534, 0.0087650208780298035, 0.0087649756419505148, 0.0087649297032783499, 0.0087648831694119751, 0.0087648361576578796, 0.0087647887962330317, 0.0087647412253856645, 0.0087646935986499374, 0.0087646460842524237, 0.0087645988666913976, 0.0087645521485129677, 0.0087645061523119443, 0.0087644611229900273, 0.0087644173303088602, 0.0087643750717822239, 0.008764334675958791, 0.0087642965061559674, 0.0087642609647159767, 0.0087642284978680547, 0.0087641996012960584, 0.0087641748265292526, 0.008764154788296577, 0.0087641401730117977, 0.0087641317485903283, 0.0087641303758390979, 0.0087641370217109524, 0.0087641527747766707, 0.0087641788633444889, 0.0087642166767520138, 0.0087642677904751932, 0.0087643339958487273, 0.0087644173353824129, 0.0087645201448990958, 0.0087646451040287073, 0.0087647952969897788, 0.0087649742861041508, 0.0087651862011606935, 0.0087654358486236698, 0.0087657288458450836, 0.0087660717869912381, 0.0087664724494791318, 0.0087669400525456683, 0.0087674855834442064, 0.0087681222121158784, 0.0087688658226651641, 0.0087697357005469528, 0.0087707554295110603, 0.0087719540743042869, 0.0087733677574221691, 0.0087750417864358044, 0.0087770335616693968, 0.0087794166072784792, 0.0087822862474379593, 0.0087857677373020995, 0.0087900281337020426, 0.0087952939960695541, 0.0088018784139225932, 0.0088102233928291484, 0.0088209683766669322, 0.0088350649492661398, 0.0088539767420805562, 0.0088800447082205223, 0.0089171930918146604, 0.0089723894380807166, 0.0090589258512671321, 0.0092046037638251581, 0.009475065222697282, 0.010052800056742216, 0.011564735397356533, 0.016358983143548313, 0.020593657934676102, 0.013691076212258362, 0.010862397932062961, 0.009878787816754532, 0.009449835225537077, 0.0092279857369568907, 0.0090989093186158478, 0.009017217614919042, 0.0089621727459863968, 0.0089232462637538635, 0.0088946409158403156, 0.0088729529252987455, 0.0088560772591673043, 0.0088426550840779248, 0.008831777161989381, 0.008822816221725099, 0.0088153279944358249, 0.008808990555167602, 0.0088035659140894111, 0.0087988749932066766, 0.0087947809082966535, 0.0087911775467863461, 0.0087879816060442342, 0.0087851269427865405, 0.0087825604968267534, 0.0087802393066882568, 0.0087781282949532437, 0.0087761986044515832, 0.008774426334118365, 0.0087698704705981845, 0.0087661799806214805, 0.0087631184928666818, 0.0087605425955618616, 0.0087583693597445625, 0.0087565594389005796, 0.008755109122642003, 0.0087540482708176656, 0.0087534428591796234, 0.008753401917427588, 0.0087540893582582074, 0.0087557417423148182, 0.0087586933672776247, 0.008763409908039161, 0.0087705303354057452, 0.0087809120894495971, 0.0087956625813712126, 0.0088161143478789495, 0.0088436540566964681, 0.0088792524737213215, 0.0089225257194189018, 0.0089703799998944126, 0.0090160202427869134, 0.0090500557268097005, 0.0090648212413746362, 0.0090593612170766554, 0.0090399362992642784, 0.0090152977323104018, 0.0089918381951611826, 0.0089722759121463463, 0.0089568509723179958, 0.0089448137642054205, 0.0089352831821217869, 0.0089275526410067581, 0.0089211281621599664, 0.0089156820343963376, 0.0089109983173316972, 0.0089069314518078722, 0.0089033791482556329, 0.0089002657688705515, 0.0088975324359990022, 0.0088951311886833941, 0.0088930215038128188, 0.0088911681832165995, 0.0088895400313490636, 0.0088881089965114467, 0.0088868495902841797, 0.0088857384796139499, 0.0088847541906191922, 0.0088838768881039885, 0.0088830882087349711, 0.0088823711337136339, 0.0088817098912798466, 0.0088810898820164477, 0.0088804976215276325, 0.008879920696101164, 0.0088793477276963156, 0.0088787683451693206, 0.0088781731591337371, 0.0088775537382952217, 0.0088769025855165665, 0.0088762131122662857, 0.0088754796104807358, 0.008874697221221018, 0.0088738618998262415, 0.0088729703775468349, 0.0088720201198820205, 0.0088710092820393095, 0.0088699366620809995, 0.0088688016524228735, 0.0088676041904064747, 0.0088663447086824426, 0.0088650240861239734, 0.0088636435999421229, 0.0088622048796052864, 0.0088607098630802805, 0.0088591607558172417, 0.0088575599928018712, 0.0088559102038998447, 0.0088542141826240366, 0.0088524748583682453, 0.0088506952720733747, 0.0088488785552249451, 0.0088470279120246645, 0.0088451466045338292, 0.0088432379405520394, 0.0088413052639699612, 0.0088393519473192687, 0.008837381386234756, 0.0088353969955419758, 0.0088334022066877231, 0.0088314004662384659, 0.008829395235183661, 0.0088273899887945009, 0.0088253882168045604, 0.0088233934236958168, 0.0088214091288911708, 0.0088194388666730673, 0.0088174861856662214, 0.0088155546477411105, 0.0088136478262137302, 0.0088117693032358085, 0.0088099226662884771, 0.0088081115037113578, 0.0088063393992183995, 0.0088046099253703651, 0.0088029266359942095, 0.008801293057558451, 0.0087997126795337586, 0.0087981889437873089, 0.0087967252330792972, 0.0087953248587486817, 0.0087939910476937007, 0.0087927269287702524, 0.0087915355187470866, 0.0087904197079712015, 0.008789382245909234, 0.008788425726740318, 0.0087875525751832557, 0.0087867650327445902, 0.0087860651445749883, 0.008785454747118308, 0.0087849354567312316, 0.0087845086594412307, 0.0087841755019964773, 0.0087839368843446088, 0.0087837934536566867, 0.0087837455999897722, 0.0087837775040821887, 0.0087838731492098157, 0.0087840323341523592, 0.0087842547243016274, 0.0087845398527902265, 0.0087848871220523438, 0.0087852958057975487, 0.0087857650513733909, 0.008786293882487993, 0.0087868812022594295, 0.0087875257965545316, 0.008788226337576515, 0.008788981387657652, 0.008789789403210695, 0.0087906487387909849, 0.0087915576512195386, 0.0087925143037169261, 0.008793516769997331, 0.0087945630382726542, 0.0087956510151176344, 0.0087967785291483691, 0.0087979433344691008, 0.0087991431138447641, 0.008800375481560388, 0.0088016379859325727, 0.0088029281114429276, 0.0088042432804689083, 0.0088055808545938561, 0.0088069381354845943, 0.0088083123653332797, 0.0088097007268684129, 0.0088111003429498999, 0.0088125082757736679, 0.0088139215257229155, 0.0088153370299162547, 0.0088167516605170693, 0.008818162222883702, 0.0088195654536567802, 0.0088209580188978159, 0.0088223365124120018, 0.0088236974544079853, 0.0088250372906678275, 0.0088263523924208623, 0.0088276390571356764, 0.0088288935104636201, 0.0088301119095849021, 0.0088312903482228727, 0.0088324248636025612, 0.0088335114456344968, 0.0088345460486026796, 0.0088355246056241836, 0.0088364430461262081, 0.0088372973165517128, 0.0088380834044562897, 0.0088387973660940776, 0.0088394353575097159, 0.0088399936690545834, 0.0088404687631307068, 0.0088408573148352314, 0.008841156255035355, 0.0088413628152521993, 0.0088414745735774704, 0.0088414895006962355, 0.0088414060049504407, 0.0088412229752605712, 0.0088409398206361761, 0.00884055650495995, 0.0088400735757325696, 0.0088394921855243259, 0.0088388141049980853, 0.0088380417265486021, 0.0088371780578414202, 0.0088362267048248538, 0.0088351918441189788, 0.0088340781850412553, 0.0088328909218919581, 0.0088316356774743605, 0.0088303184391445716, 0.0088289454889562378, 0.0088275233296695194, 0.0088260586085214116, 0.0088245580406978771, 0.0088230283344077308, 0.0088214761193376508, 0.0088199078800768813, 0.0088183298958529784, 0.0088167481876324609, 0.008815168473330328, 0.0088135961315576276, 0.0088120361740326239, 0.008810493226503022, 0.0088089715177839135, 0.0088074748763167128, 0.0088060067335018668, 0.0088045701329528495, 0.0088031677447593052, 0.0088018018838285951, 0.0088004745313917058, 0.0087991873588052494, 0.008797941752848832, 0.0087967388418001471, 0.0087955795216624801, 0.0087944644820154086, 0.0087933942310553515, 0.0087923691194842953, 0.0087913893629902751, 0.0087904550631402647, 0.0087895662265738278, 0.0087887227824441135, 0.0087879245981013453, 0.0087871714930536169, 0.0087864632512707607, 0.0087857996319207401, 0.0087851803786447406, 0.008784605227488319, 0.0087840739136121268, 0.0087835861769077778, 0.0087831417666435242, 0.0087827404452603744, 0.0087823819914337447, 0.0087820662025081039, 0.0087817928964038332, 0.0087815619130858814, 0.0087813731156740973, 0.0087812263912647858, 0.0087811216515222452, 0.0087810588330888908, 0.0087810378978512536], [0.0089602485622029444, 0.0089602929615442365, 0.0089604261036385757, 0.0089606478212223093, 0.0089609578372688969, 0.0089613557675955659, 0.0089618411244875712, 0.0089624133213156605, 0.008963071678116271, 0.0089638154280983606, 0.008964643725036428, 0.0089655556515051676, 0.0089665502279083816, 0.0089676264222532456, 0.0089687831606200981, 0.0089700193382784496, 0.0089713338314017753, 0.00897272550933669, 0.0089741932473861724, 0.0089757359400724906, 0.008977352514852292, 0.0089790419462649779, 0.0089808032705052786, 0.0089826356004226657, 0.0089845381409635189, 0.0089865102050869852, 0.0089885512302029236, 0.0089906607951999919, 0.0089928386381542165, 0.0089950846748346105, 0.0089973990181516379, 0.0089997819987294673, 0.0090022341868230115, 0.0090047564158486325, 0.009007349807854054, 0.0090100158013209988, 0.0090127561817756954, 0.0090155731157818986, 0.0090184691890126279, 0.0090214474492458403, 0.0090245114553141534, 0.009027665333268084, 0.0090309138412989591, 0.0090342624453277481, 0.009037717407620046, 0.0090412858913630663, 0.0090449760848734725, 0.0090487973500428358, 0.0090527604008340413, 0.0090568775192020577, 0.0090611628178410373, 0.0090656325618141357, 0.0090703055646178636, 0.0090752036788694316, 0.0090803524080043645, 0.0090857816737305447, 0.0090915267853630601, 0.009097629672815381, 0.0091041404667952259, 0.0091111195404227855, 0.0091186401702784275, 0.0091267920383374754, 0.0091356858896699724, 0.0091454598007332608, 0.0091562877267141515, 0.0091683913291968275, 0.0091820566156032204, 0.009197657787235523, 0.0092156921437896479, 0.0092368323990720397, 0.0092620072411656353, 0.0092925292801922174, 0.0093303056279229937, 0.0093781991491003053, 0.0094406792408587101, 0.0095250648744581896, 0.0096440749129384426, 0.0098215505812050737, 0.010106871027598366, 0.01061740812801453, 0.011695037967995014, 0.014730222830002332, 0.030598774416491649, 0.094933421455157208, 0.018243797587297241, 0.011529416389579309, 0.010026879299417315, 0.009492414695541438, 0.0092524269350418697, 0.0091286131514788892, 0.0090586246292608426, 0.009016453385064958, 0.008989839354140881, 0.0089724597636921012, 0.0089608215462692077, 0.0089528871893971278, 0.0089474148345760427, 0.0089436196522170667, 0.0089409903531761994, 0.0089391851350831067, 0.0089379703563047756, 0.0089371831786157277, 0.0089367081509585493, 0.0089364621611472267, 0.0089363845508239215, 0.0089364304948110086, 0.0089365664894270787, 0.0089367672298400255, 0.0089370134182597313, 0.0089372902057281295, 0.0089375860713256632, 0.0089378920072749005, 0.0089382009205099359, 0.0089385071891059584, 0.0089388063306251719, 0.0089390947521163378, 0.0089393695602268033, 0.0089396284159517902, 0.0089398694228084823, 0.0089400910402474103, 0.0089402920162799469, 0.0089404713348660639, 0.008940628174747365, 0.0089407618772494486, 0.0089408719212005217, 0.0089409579035809421, 0.0089410195248738195, 0.0089410565783624857, 0.0089410689428384496, 0.0089410670511794934, 0.0089410613759012825, 0.0089410519161270165, 0.0089410386704867548, 0.008941021637256942, 0.0089410008145605728, 0.0089409762006331436, 0.0089409477941610523, 0.0089409155947011102, 0.0089408796031919952, 0.008940839822570875, 0.0089407962585114058, 0.0089407489203026762, 0.0089406978218927371, 0.0089406429831252326, 0.0089405844312032915, 0.0089405222024220524, 0.00894045634421947, 0.0089403869176055435, 0.0089403140000424326, 0.0089402376888636833, 0.0089401581053395011, 0.0089400753995185576, 0.0089399897560059616, 0.0089399014008731126, 0.0089398106099405784, 0.0089397177187318828, 0.0089396231344680034, 0.0089395273505632304, 0.0089394309641990383, 0.0089393346977009094, 0.0089392394246343588, 0.0089391462017837514, 0.008939056308499992, 0.0089389712953260834, 0.0089388930443675668, 0.0089388238446168247, 0.0089387664864342166, 0.0089387243807305828, 0.0089387017102229363, 0.0089387036226449522, 0.0089387364792755265, 0.0089388081770274946, 0.0089389285692499151, 0.0089391100203040121, 0.0089393681433519896, 0.0089397227919530611, 0.008940199407644624, 0.0089408308735916316, 0.0089416600983115522, 0.0089427436697227629, 0.0089441571063465699, 0.0089460025388481135, 0.008948420170877016, 0.0089516057610517612, 0.0089558379625639048, 0.0089615223065178592, 0.0089692642929505816, 0.008979995493350313, 0.008995200869066541, 0.0090173504296861759, 0.0090507719773841935, 0.0091035572102044042, 0.0091921504410563369, 0.0093538906898172243, 0.0096877638577340698, 0.010524430511891777, 0.013471059670862151, 0.030968543092952175, 0.02646611939409986, 0.013546088823553497, 0.010962516347314001, 0.010097634785560085, 0.0097064341688623563, 0.0094954479715385568, 0.0093679326950103468, 0.0092845023733280265, 0.0092266419035044959, 0.0091846907232004185, 0.0091531932698349829, 0.0091288712548240232, 0.0091096536272318555, 0.0090941769848484986, 0.0090815122860322169, 0.0090710076542921438, 0.0090621940333056508, 0.0090547264609088726, 0.0090483463399821436, 0.0090428565180539211, 0.00903810441917869, 0.0090339703744732602, 0.0090303593895263937, 0.0090271952327524042, 0.0090244161213654164, 0.0090219715262457555, 0.0090198197727819306, 0.0090179262160597802, 0.0090162618358475832, 0.0090148021420150756, 0.0090135263119554589, 0.0090124165030722007, 0.0090114572985428871, 0.0090106352554047715, 0.009009938531865002, 0.0090093565765261736, 0.0090088798665526656, 0.0090084996851092069, 0.0090082079309745933, 0.0090079969552742667, 0.0090078594219224796, 0.0090077881897098165, 0.009007776215066229, 0.0090078164753990327, 0.0090079019135512924, 0.0090080254043340673, 0.009008179744232743, 0.0090083576652472113, 0.00900855187337944, 0.0090087551115279225, 0.0090089602455115225, 0.009009160370682846, 0.009009348935199472, 0.0090095198746309273, 0.0090096677513470842, 0.0090097878912260149, 0.0090098765097897712, 0.0090099308200404637, 0.0090099491150807606, 0.0090099308200404602, 0.0090098765097897729, 0.0090097878912260166, 0.0090096677513470842, 0.0090095198746309273, 0.0090093489351994686, 0.009009160370682846, 0.0090089602455115259, 0.0090087551115279208, 0.0090085518733794417, 0.0090083576652472113, 0.0090081797442327412, 0.0090080254043340673, 0.0090079019135512958, 0.0090078164753990345, 0.0090077762150662273, 0.0090077881897098148, 0.0090078594219224761, 0.0090079969552742684, 0.0090082079309745985, 0.0090084996851092017, 0.0090088798665526656, 0.0090093565765261702, 0.009009938531865002, 0.0090106352554047715, 0.0090114572985428906, 0.0090124165030722025, 0.0090135263119554554, 0.0090148021420150739, 0.009016261835847585, 0.0090179262160597819, 0.0090198197727819323, 0.0090219715262457572, 0.0090244161213654198, 0.0090271952327524059, 0.0090303593895263885, 0.0090339703744732533, 0.0090381044191786952, 0.0090428565180539246, 0.0090483463399821402, 0.0090547264609088726, 0.0090621940333056455, 0.0090710076542921507, 0.0090815122860322204, 0.0090941769848484916, 0.0091096536272318469, 0.0091288712548240128, 0.0091531932698349985, 0.0091846907232003613, 0.0092266419035044577, 0.0092845023733280265, 0.0093679326950101127, 0.0094954479715383799, 0.0097064341688620197, 0.01009763478555924, 0.010962516347313597, 0.013546088823549889, 0.02646611939407445, 0.030968543092994669, 0.013471059670867952, 0.010524430511893513, 0.0096877638577341184, 0.0093538906898176181, 0.0091921504410564254, 0.0091035572102043834, 0.0090507719773841883, 0.009017350429686188, 0.0089952008690665202, 0.0089799954933503061, 0.0089692642929505711, 0.0089615223065178506, 0.0089558379625639048, 0.0089516057610517612, 0.0089484201708770143, 0.0089460025388481204, 0.0089441571063465716, 0.0089427436697227594, 0.0089416600983115522, 0.0089408308735916299, 0.0089401994076446258, 0.0089397227919530645, 0.0089393681433519896, 0.0089391100203040086, 0.0089389285692499133, 0.0089388081770274963, 0.0089387364792755265, 0.0089387036226449522, 0.008938701710222938, 0.0089387243807305828, 0.0089387664864342166, 0.0089388238446168264, 0.008938893044367565, 0.0089389712953260817, 0.0089390563084999902, 0.0089391462017837531, 0.0089392394246343623, 0.0089393346977009076, 0.0089394309641990383, 0.0089395273505632287, 0.0089396231344679999, 0.0089397177187318846, 0.0089398106099405784, 0.0089399014008731126, 0.0089399897560059598, 0.0089400753995185524, 0.0089401581053394994, 0.0089402376888636868, 0.0089403140000424326, 0.0089403869176055435, 0.0089404563442194735, 0.008940522202422049, 0.0089405844312032915, 0.0089406429831252326, 0.0089406978218927406, 0.0089407489203026727, 0.0089407962585114058, 0.008940839822570875, 0.0089408796031919917, 0.0089409155947011085, 0.0089409477941610523, 0.0089409762006331453, 0.0089410008145605745, 0.0089410216372569403, 0.0089410386704867565, 0.0089410519161270182, 0.0089410613759012825, 0.0089410670511794934, 0.0089410689428384444, 0.0089410679970725396, 0.0089410651603856108, 0.008941060434613738, 0.0089410538228291842, 0.0089410453293587468, 0.0089410349598096454, 0.0089410227211031423, 0.0089410086215161999, 0.0089409926707314912, 0.0089409748798962192, 0.0089409552616901786, 0.008940933830403645, 0.0089409106020258179, 0.0089408855943444443, 0.0089408588270576406, 0.0089408303218987545, 0.0089408001027754952, 0.008940768195924511, 0.0089407346300828822, 0.0089406994366780755, 0.0089406626500382665, 0.0089406243076249475, 0.0089405844502901902, 0.0089405431225611284, 0.0089405003729545896, 0.0089404562543251315, 0.0089404108242502559, 0.0089403641454569895, 0.0089403162862946046, 0.008940267321258865, 0.0089402173315740081, 0.0089401664058393667, 0.0089401146407486632, 0.0089400621418909976, 0.0089400090246439644, 0.0089399554151707097, 0.0089399014515346483, 0.0089398472849473755, 0.0089397930811679575, 0.008939739022074249, 0.0089396853074304172, 0.0089396321568784819, 0.0089395798121862709, 0.0089395285397895, 0.0089394786336719368, 0.0089394304186352011, 0.0089393842540185231, 0.0089393405379395718, 0.0089392997121401311, 0.0089392622675358215, 0.0089392287505876081, 0.0089391997706351287, 0.0089391760083593792, 0.0089391582255752243, 0.0089391472765952239, 0.0089391441214560202, 0.0089391498413605407, 0.0089391656567656373, 0.0089391929486404356, 0.0089392332835399289, 0.0089392884432886888, 0.0089393604602595114, 0.008939451659473489, 0.0089395647090569474, 0.0089397026809882492, 0.008939869124582351, 0.0089400681558320493, 0.008940304566606088, 0.0089405839588695118, 0.0089409129106455976, 0.0089412991825270627, 0.0089417519763773743, 0.0089422822617412807, 0.0089429031908474736, 0.0089436306305834511, 0.0089444838504227405, 0.0089454864204565297, 0.0089466673956851289, 0.0089480628950916481, 0.0089497182323681097, 0.0089516908285929304, 0.0089540542507149726, 0.0089569038988124711, 0.0089603651537926189, 0.0089646052737482728, 0.0089698511348527583, 0.0089764163222921332, 0.0089847436191605682, 0.0089954736999835298, 0.0090095601258000698, 0.009028469772062871, 0.0090545490625275199, 0.0090917317947337029, 0.0091470029443616787, 0.0092336882085124368, 0.0093796583373806329, 0.0096507109738172992, 0.010229721654100533, 0.011744691762661342, 0.016549087608136344, 0.020836625416257797, 0.013906052192036099, 0.011055037101411256, 0.010063435608874049, 0.0096309818369376132, 0.009407296970294441, 0.0092771295672638907, 0.009194728665021603, 0.0091391912490320412, 0.0090999049003377824, 0.0090710258879494934, 0.0090491229312507759, 0.009032073822650687, 0.0090185085202408276, 0.0090075101969399798, 0.0089984462810197771, 0.0089908687018820464, 0.008984452744722423, 0.0089789583313760624, 0.0089742047933389722, 0.0089700540165647668, 0.0089663989248982626, 0.0089631554520017247, 0.0089602568432801816, 0.0089576495451098408, 0.0089552901949882819, 0.0089531433878602303, 0.008951179997932145, 0.0089461684827169038, 0.0089421442281771776, 0.0089388260657516094, 0.0089360435826904127, 0.0089336965762566185, 0.0089317338925026628, 0.0089301430460758859, 0.0089289466116284494, 0.0089282036282793981, 0.0089280154978674149, 0.0089285366411646552, 0.0089299907165297197, 0.0089326934933436995, 0.0089370832267406872, 0.0089437578244513736, 0.0089535134969790705, 0.0089673685336753399, 0.0089865328215343269, 0.0090122433911866001, 0.0090453362687402568, 0.0090854226971877304, 0.0091297440247914453, 0.0091723902704662821, 0.009205295871196853, 0.0092218306631832794, 0.0092208644265975286, 0.0092072463967974531, 0.0091880977433825874, 0.0091688741283522494, 0.0091521424508149238, 0.0091384081138291742, 0.0091272743693111818, 0.0091181524166430959, 0.0091105383459377381, 0.0091040669777918866, 0.009098488689050244, 0.0090936335363310181, 0.0090893824281989451, 0.00908564788086994, 0.0090823621643643486, 0.0090794702546893036, 0.0090769256799677397, 0.0090746880450431385, 0.0090727215150214011, 0.0090709938474520559, 0.0090694757436859865, 0.0090681403920217108, 0.0090669631316832571, 0.009065921197478205, 0.0090649935216737167, 0.009064160578640245, 0.0090634042626881548, 0.0090627077921931285, 0.0090620556346146953, 0.0090614334479228037, 0.0090608280345595791, 0.0090602273045370003, 0.0090596202446882029, 0.0090589968914893161, 0.0090583483052669271, 0.0090576665440056364, 0.0090569446353671052, 0.0090561765459180755, 0.0090553571469304695, 0.0090544821764535679, 0.0090535481976561066, 0.0090525525536909474, 0.0090514933195401086, 0.0090503692514533468, 0.0090491797346986345, 0.0090479247304006503, 0.0090466047222585912, 0.009045220663912194, 0.0090437739276724022, 0.009042266255256599, 0.0090406997110758329, 0.0090390766385182782, 0.0090373996195666963, 0.0090356714379812037, 0.0090338950461780979, 0.0090320735358422749, 0.0090302101122284369, 0.0090283080720348317, 0.0090263707846745516, 0.0090244016767219697, 0.0090224042192765964, 0.0090203819179611039, 0.0090183383052548222, 0.0090162769348561423, 0.0090142013777667757, 0.0090121152197955336, 0.0090100220601887372, 0.0090079255111073647, 0.0090058291976862076, 0.0090037367584278188, 0.0090016518457022819, 0.0089995781261431092, 0.0089975192807492388, 0.0089954790045228168, 0.0089934610054924272, 0.0089914690029911561, 0.0089895067250789183, 0.0089875779050181195, 0.0089856862767317691, 0.0089838355691933304, 0.0089820294997174348, 0.0089802717661413081, 0.0089785660379070806, 0.0089769159460756989, 0.0089753250723237001, 0.0089737969369946269, 0.0089723349862963608, 0.0089709425787552338, 0.00896962297105563, 0.0089683793034108159, 0.008967214584625547, 0.008966131677024064, 0.0089651332814271508, 0.008964221922369767, 0.0089633999337544665, 0.0089626694451368921, 0.0089620323688363052, 0.0089614903880573978, 0.008961044946198992, 0.0089606972375104975, 0.0089604481992394125, 0.0089602985053917235, 0.0089602485622029444, 0.0089602818593750733, 0.0089603816809174404, 0.0089605478171463342, 0.0089607799193802667, 0.0089610775011168074, 0.0089614399396598238, 0.0089618664781771842, 0.008962356228163583, 0.008962908172278258, 0.0089635211675228137, 0.0089641939487201481, 0.0089649251322517897, 0.0089657132200078628, 0.0089665566035012235, 0.0089674535680953175, 0.0089684022972937229, 0.0089694008770388189, 0.0089704472999664366, 0.0089715394695640185, 0.0089726752041808314, 0.0089738522408403069, 0.008975068238807133, 0.0089763207828644793, 0.0089776073862605516, 0.0089789254932878156, 0.0089802724814633719, 0.0089816456632845331, 0.0089830422875403701, 0.0089844595401670467, 0.0089858945446432779, 0.0089873443619309882, 0.0089888059899767385, 0.00899027636280063, 0.0089917523492116583, 0.0089932307512022493, 0.0089947083020897375, 0.0089961816644885673, 0.0089976474282147251, 0.0089991021082427534, 0.0090005421428556963, 0.0090019638921492503, 0.00900336363707324, 0.0090047375792153099, 0.0090060818415534614, 0.0090073924704246987, 0.009008665438975761, 0.0090098966523775251, 0.0090110819550960307, 0.0090122171405183967, 0.0090132979632297806, 0.0090143201542257686, 0.0090152794393214726, 0.0090161715609821894, 0.0090169923037487151, 0.0090177375233619489, 0.009018403179605148, 0.0090189853727775746, 0.0090194803835907562, 0.0090198847161399621, 0.0090201951434512925, 0.009020408754943577, 0.0090205230049800102, 0.0090205357615241889, 0.0090204453537682527, 0.0090202506174763015, 0.0090199509366949981, 0.009019546280435076, 0.0090190372329315635, 0.0090184250161543383, 0.0090177115033685858, 0.0090168992227380885, 0.0090159913502193753, 0.0090149916913048952, 0.0090139046515254236, 0.0090127351960007391, 0.0090114887987136176, 0.0090101713825548688, 0.0090087892515253298, 0.0090073490167647645, 0.0090058575182913984, 0.0090043217444668033, 0.0090027487512428176, 0.0090011455831996313, 0.0089995191982517788, 0.008997876397692766, 0.008996223762983778, 0.0089945676003847959, 0.0089929138941968849, 0.0089912682690505494, 0.0089896359613542212, 0.0089880217997238727, 0.008986430193960053, 0.0089848651319302825, 0.008983330183556312, 0.0089818285109976824, 0.0089803628840627661, 0.0089789356998618806, 0.0089775490057369817, 0.0089762045245531472, 0.0089749036815100613, 0.0089736476317208089, 0.0089724372879035983, 0.0089712733476342201, 0.0089701563197082442, 0.008969086549258827, 0.008968064241365703, 0.0089670894829717296, 0.0089661622629944645, 0.0089652824905809021, 0.008964450011504279, 0.0089636646227430096, 0.0089629260853139013, 0.0089622341354562169, 0.00896158849428038, 0.0089609888760063539, 0.0089604349949228973, 0.0089599265712008627, 0.0089594633356921884, 0.0089590450338421848, 0.0089586714288362596, 0.008958342304094459, 0.0089580574652181316, 0.0089578167414829813, 0.0089576199869624631, 0.0089574670813544928, 0.0089573579305733102, 0.0089572924671572941, 0.0089572706505321072], [0.0091418836345303275, 0.0091419300266754686, 0.0091420691450070594, 0.0091423008157652599, 0.009142624751185293, 0.0091430405522367388, 0.0091435477124323303, 0.0091441456226809808, 0.0091448335771531671, 0.0091456107801211554, 0.0091464763537320061, 0.0091474293466669854, 0.0091484687436383175, 0.0091495934756725128, 0.009150802431128759, 0.0091520944674015805, 0.0091534684232590108, 0.0091549231317708969, 0.0091564574337864683, 0.0091580701919267808, 0.0091597603050650785, 0.0091615267232775521, 0.0091633684632574999, 0.009165284624198855, 0.009167274404169222, 0.0091693371170091555, 0.0091714722098133802, 0.0091736792810710177, 0.0091759580995665752, 0.0091783086241719637, 0.0091807310246920619, 0.0091832257039652105, 0.0091857933214639642, 0.0091884348186947479, 0.0091911514467576168, 0.0091939447965029251, 0.0091968168318124367, 0.0091997699266433228, 0.0092028069066088791, 0.0092059310960363946, 0.0092091463716492267, 0.0092124572242769567, 0.0092158688303190031, 0.0092193871350911213, 0.0092230189506950031, 0.0092267720716990905, 0.0092306554127459198, 0.0092346791732614095, 0.0092388550358081765, 0.0092431964063961654, 0.0092477187073731031, 0.0092524397365467397, 0.0092573801101933154, 0.0092625638129326809, 0.0092680188845978718, 0.0092737782839023321, 0.009279880981935381, 0.0092863733567951686, 0.0092933109862234527, 0.0093007609712963592, 0.009308804976194001, 0.0093175432448388412, 0.009327099967487788, 0.0093376305397923527, 0.0093493315174762691, 0.0093624544792622194, 0.0093773256690181175, 0.0093943743736876976, 0.0094141748346114641, 0.0094375097112118483, 0.0094654689544132892, 0.0094996089597463619, 0.0095422186156614471, 0.0095967841435805629, 0.0096688449861199524, 0.0097676726342610619, 0.0099098307539479142, 0.010127508798900672, 0.01049073198386913, 0.011178162786088739, 0.012771693712673773, 0.018174768444162555, 0.061940262747694964, 0.041167595866505188, 0.014354643689712177, 0.010908882436149677, 0.0099396843275657547, 0.0095557519319687499, 0.0093725242384407881, 0.0092743198276485483, 0.0092173957182901251, 0.0091825155263962135, 0.0091602608621032446, 0.0091456347119590713, 0.0091358155011870123, 0.0091291289458073233, 0.0091245405561657267, 0.0091213893527903496, 0.0091192409048549729, 0.0091178027052593313, 0.009116873648961122, 0.00911631291996658, 0.009116020307740634, 0.0091159234576551219, 0.0091159694397023212, 0.0091161190693707372, 0.0091163430189744078, 0.0091166191153624586, 0.0091169304368027507, 0.0091172639562716751, 0.0091176095634010745, 0.0091179593520803511, 0.0091183070965506936, 0.00911864786264408, 0.0091189777168643876, 0.0091192935069542534, 0.0091195926951461465, 0.0091198732305666601, 0.0091201334509761998, 0.0091203720066673887, 0.0091205878012401067, 0.0091207799453421959, 0.0091209477204655231, 0.0091210905506231722, 0.009121207980280906, 0.0091212996573265797, 0.0091213653201737202, 0.0091214047883373985, 0.0091214179560120071, 0.0091214159310421573, 0.0091214098553985077, 0.0091213997269017581, 0.0091213855419968286, 0.009121367295870722, 0.0091213449826217409, 0.00912131859548467, 0.0091212881271178145, 0.0091212535699595389, 0.0091212149166639139, 0.0091211721606271178, 0.0091211252966190096, 0.0091210743215371353, 0.0091210192353040308, 0.009120960041933154, 0.0091208967507935453, 0.0091208293781098026, 0.0091207579487413044, 0.0091206824982936197, 0.009120603075626281, 0.0091205197458344781, 0.0091204325937991222, 0.0091203417284199569, 0.0091202472876722122, 0.0091201494446586703, 0.0091200484148686728, 0.0091199444649050377, 0.0091198379230021907, 0.0091197291917378062, 0.009119618763440333, 0.009119507238922844, 0.0091193953503381549, 0.009119283989162336, 0.0091191742405895213, 0.009119067425981257, 0.0091189651554876103, 0.0091188693935849614, 0.0091187825411127108, 0.0091187075385168372, 0.0091186479965337242, 0.0091186083626329274, 0.0091185941344146468, 0.0091186121351657067, 0.0091186708724209781, 0.0091187810084111098, 0.0091189559828541399, 0.0091192128454469813, 0.0091195733804259795, 0.0091200656431528766, 0.0091207260860969759, 0.0091216025408612234, 0.0091227584644518259, 0.0091242790872748357, 0.0091262804805872094, 0.0091289232084070596, 0.0091324333632531694, 0.0091371358390234698, 0.0091435085529600769, 0.009152273888649743, 0.0091645591771204338, 0.0091821918457559455, 0.0092082734522277027, 0.0092483745779528472, 0.0093132409724410933, 0.0094256193846316404, 0.0096401159365480382, 0.010113671659029381, 0.011441788859518522, 0.017200858400638511, 0.043508843444370095, 0.018921449720660895, 0.012377673626388561, 0.010745201311761449, 0.010116058259097695, 0.0098076763027156177, 0.0096326435394933942, 0.0095230712676223593, 0.0094495184533885859, 0.0093975040419763192, 0.0093592103871388034, 0.0093301036269216996, 0.009307400481707178, 0.0092893114829938842, 0.0092746411711230048, 0.0092625647191935979, 0.0092524971314578239, 0.009244013528823385, 0.0092367988671317701, 0.0092306152555818172, 0.0092252801473565443, 0.0092206514414492451, 0.0092166170908312486, 0.0092130877163487876, 0.0092099912667055472, 0.009207269097099206, 0.0092048730479678906, 0.0092027632394929785, 0.009200906385413838, 0.0091992744883453784, 0.0091978438185555834, 0.0091965941055532543, 0.0091955078909870726, 0.0091945700049389772, 0.0091937671374659052, 0.0091930874843766247, 0.0091925204515189082, 0.0091920564058375794, 0.0091916864645210598, 0.0091914023159395449, 0.0091911960679681576, 0.0091910601208013091, 0.0091909870625729393, 0.0091909695870418771, 0.0091910004332993265, 0.0091910723479026717, 0.0091911780700261493, 0.0091913103401279478, 0.0091914619322564194, 0.0091916257094596492, 0.0091917947008510886, 0.0091919621977748535, 0.0091921218652970798, 0.0091922678640415888, 0.009192394976328587, 0.0091924987298090937, 0.0091925755114488309, 0.0091926226649006165, 0.0091926385650598352, 0.0091926226649006113, 0.0091925755114488292, 0.0091924987298090937, 0.009192394976328587, 0.0091922678640415905, 0.0091921218652970763, 0.0091919621977748552, 0.0091917947008510904, 0.0091916257094596526, 0.0091914619322564211, 0.0091913103401279495, 0.0091911780700261441, 0.0091910723479026717, 0.0091910004332993282, 0.0091909695870418754, 0.0091909870625729376, 0.0091910601208013091, 0.0091911960679681489, 0.0091914023159395484, 0.0091916864645210598, 0.0091920564058375759, 0.0091925204515189082, 0.0091930874843766282, 0.0091937671374659018, 0.0091945700049389789, 0.0091955078909870744, 0.0091965941055532543, 0.0091978438185555851, 0.0091992744883453784, 0.009200906385413838, 0.009202763239492982, 0.0092048730479678872, 0.0092072690970992077, 0.009209991266705549, 0.0092130877163487893, 0.0092166170908312417, 0.0092206514414492364, 0.0092252801473565425, 0.0092306152555818206, 0.0092367988671317666, 0.0092440135288233832, 0.0092524971314578222, 0.0092625647191936066, 0.0092746411711230083, 0.0092893114829938755, 0.0093074004817071711, 0.0093301036269216944, 0.0093592103871388242, 0.0093975040419762446, 0.0094495184533885477, 0.0095230712676223628, 0.0096326435394930941, 0.0098076763027153714, 0.010116058259097163, 0.010745201311760049, 0.012377673626387645, 0.018921449720649797, 0.043508843444374931, 0.017200858400653187, 0.011441788859520758, 0.010113671659030302, 0.0096401159365480729, 0.0094256193846319024, 0.0093132409724411593, 0.0092483745779528333, 0.0092082734522276975, 0.0091821918457559524, 0.0091645591771204165, 0.0091522738886497413, 0.0091435085529600665, 0.0091371358390234629, 0.0091324333632531677, 0.0091289232084070613, 0.0091262804805872094, 0.0091242790872748392, 0.0091227584644518276, 0.0091216025408612216, 0.0091207260860969759, 0.0091200656431528766, 0.0091195733804259795, 0.0091192128454469831, 0.0091189559828541399, 0.009118781008411108, 0.0091186708724209781, 0.0091186121351657049, 0.0091185941344146468, 0.0091186083626329309, 0.0091186479965337224, 0.0091187075385168355, 0.0091187825411127108, 0.0091188693935849632, 0.0091189651554876103, 0.0091190674259812553, 0.0091191742405895213, 0.0091192839891623394, 0.0091193953503381567, 0.009119507238922844, 0.0091196187634403347, 0.0091197291917378045, 0.0091198379230021907, 0.0091199444649050394, 0.0091200484148686763, 0.0091201494446586668, 0.0091202472876722122, 0.0091203417284199569, 0.009120432593799124, 0.0091205197458344798, 0.0091206030756262775, 0.0091206824982936231, 0.0091207579487413096, 0.0091208293781098043, 0.0091208967507935418, 0.009120960041933154, 0.0091210192353040325, 0.0091210743215371336, 0.0091211252966190114, 0.0091211721606271161, 0.0091212149166639122, 0.0091212535699595424, 0.0091212881271178145, 0.0091213185954846683, 0.0091213449826217392, 0.0091213672958707203, 0.0091213855419968286, 0.0091213997269017563, 0.0091214098553985077, 0.0091214159310421591, 0.0091214179560120071, 0.0091214169436031889, 0.009121413906921878, 0.0091214088476068243, 0.0091214017684002648, 0.0091213926731645804, 0.0091213815669057043, 0.0091213684558036009, 0.009121353347249981, 0.0091213362498935979, 0.0091213171736934957, 0.009121296129980595, 0.0091212731315281938, 0.0091212481926319661, 0.0091212213292000341, 0.0091211925588540761, 0.009121161901042129, 0.0091211293771642828, 0.009121095010712189, 0.0091210588274238599, 0.0091210208554549574, 0.0091209811255683892, 0.0091209396713438431, 0.0091208965294094241, 0.009120851739697582, 0.0091208053457280079, 0.0091207573949202859, 0.0091207079389397493, 0.0091206570340800919, 0.0091206047416870478, 0.0091205511286278056, 0.009120496267811657, 0.0091204402387678983, 0.0091203831282879958, 0.0091203250311399729, 0.0091202660508640215, 0.0091202063006597268, 0.009120145904376712, 0.0091200849976223203, 0.0091200237290019453, 0.0091199622615099826, 0.0091199007740921656, 0.0091198394634032787, 0.0091197785457880712, 0.0091197182595176614, 0.0091196588673190995, 0.009119600659241953, 0.0091195439559133441, 0.0091194891122417521, 0.0091194365216405032, 0.0091193866208546543, 0.0091193398954904029, 0.0091192968863645172, 0.0091192581968138672, 0.0091192245011322906, 0.0091191965543353098, 0.0091191752034939268, 0.0091191614009287596, 0.0091191562196175843, 0.0091191608712459793, 0.0091191767274262838, 0.0091192053447295262, 0.0091192484943254347, 0.0091193081972157676, 0.0091193867662880627, 0.0091194868567262919, 0.009119611526712864, 0.0091197643108720892, 0.0091199493095771751, 0.009120171298125309, 0.0091204358609527584, 0.009120749557618095, 0.0091211201293743011, 0.0091215567579884978, 0.0091220703923544106, 0.0091226741638172626, 0.0091233839186442307, 0.0091242189066972918, 0.0091252026805720733, 0.0091263642815222323, 0.0091277398209353242, 0.0091293746145958889, 0.0091313261005904079, 0.0091336678855659381, 0.0091364954436522292, 0.0091399342818503267, 0.0091441518635768729, 0.0091493753920105364, 0.0091559189685486066, 0.0091642261914469357, 0.0091749390322255955, 0.0091890131444933923, 0.0092079188485870937, 0.0092340083931613179, 0.0092712257675709921, 0.0093265745624120499, 0.0094134163395312477, 0.0095596956401420279, 0.0098313742424087098, 0.010411723187909585, 0.011929726567499853, 0.016742359689959411, 0.02107937890782317, 0.014126838561147232, 0.011253581217012891, 0.010253709829359116, 0.0098175761644089948, 0.0095919460881179544, 0.0094606163724646752, 0.0093774572015111295, 0.0093213917912175412, 0.0092817189235210734, 0.0092525455369885639, 0.0092304110775294299, 0.0092131750166593827, 0.0091994553338367643, 0.0091883270790724947, 0.0091791519998453697, 0.0091714779465844436, 0.0091649772083788623, 0.0091594074625461017, 0.0091545863299807261, 0.0091503743732422038, 0.0091466634788565926, 0.0091433687581181956, 0.0091404227980913921, 0.0091377715137911358, 0.0091353711109921475, 0.0091331858321191031, 0.0091276508861207004, 0.0091232489492138261, 0.0091196443673954245, 0.0091166345418319441, 0.0091140991166618716, 0.0091119735279529719, 0.0091102356893418956, 0.0091089006026530243, 0.0091080205308803792, 0.0091076898690769115, 0.0091080547356760834, 0.0091093278694321499, 0.009111809679424562, 0.0091159160032580292, 0.0091222115635632775, 0.0091314437019702974, 0.0091445607220531581, 0.0091626784846482717, 0.0091869240426912246, 0.0092180449125979416, 0.0092556794987655559, 0.0092973732500993903, 0.0093379414675620262, 0.0093703481127277478, 0.0093887188753712086, 0.0093917228287533627, 0.0093830623779214625, 0.0093685550219123129, 0.0093529008197963687, 0.0093385403602067041, 0.0093261973583765572, 0.0093157728091478251, 0.0093069294894693091, 0.0092993407572853591, 0.009292755438716431, 0.0092869935245786656, 0.0092819261354448908, 0.0092774576676464288, 0.0092735135526402623, 0.0092700327031335142, 0.0092669630573507106, 0.0092642589748512024, 0.0092618796841366959, 0.0092597883144699081, 0.0092579512524404248, 0.0092563376838222574, 0.0092549192471233204, 0.0092536697601254027, 0.0092525649986773938, 0.0092515825159941115, 0.0092507014950780533, 0.0092499026289348182, 0.0092491680241998456, 0.009248481124246314, 0.0092478266481073011, 0.0092471905417631332, 0.0092465599385818213, 0.0092459231259805243, 0.0092452695157008054, 0.0092445896154545234, 0.0092438750000871754, 0.0092431182808086921, 0.0092423130714424043, 0.0092414539510277359, 0.0092405364224689892, 0.0092395568672398558, 0.0092385124964243902, 0.0092374012985938815, 0.009236221985183991, 0.0092349739341471507, 0.0092336571327154005, 0.0092322721201226025, 0.0092308199311087469, 0.0092293020409706505, 0.0092277203128393482, 0.0092260769477635601, 0.0092243744380668853, 0.0092226155243310144, 0.009220803156243183, 0.0092189404574376799, 0.0092170306943620255, 0.0092150772491105468, 0.0092130835960925472, 0.0092110532823401637, 0.0092089899112115306, 0.0092068971292080942, 0.0092047786155989384, 0.009202638074529439, 0.0092004792292844934, 0.0091983058183768111, 0.0091961215931368884, 0.009193930316492219, 0.0091917357626376209, 0.0091895417173156295, 0.0091873519784448649, 0.0091851703568541707, 0.0091830006769010718, 0.009180846776774363, 0.0091787125083015592, 0.0091766017361032924, 0.0091745183359577473, 0.0091724661922592855, 0.0091704491944762743, 0.0091684712325341856, 0.0091665361910711774, 0.0091646479425343038, 0.0091628103391060926, 0.00916102720347255, 0.0091593023184652084, 0.0091576394156312, 0.0091560421628068926, 0.0091545141507909898, 0.0091530588792333913, 0.0091516797418749237, 0.0091503800112907475, 0.009149162823305728, 0.0091480311612638001, 0.0091469878403438887, 0.009146035492123011, 0.0091451765495912281, 0.0091444132328241598, 0.0091437475355152925, 0.0091431812125632467, 0.0091427157688981266, 0.009142352449715509, 0.0091420922322682716, 0.0091419358193439732, 0.0091418836345303275, 0.0091419184261888661, 0.0091420227281607189, 0.0091421963216834542, 0.0091424388429791406, 0.0091427497844828558, 0.0091431284965412599, 0.0091435741895603811, 0.0091440859365759328, 0.0091446626762146342, 0.0091453032160099239, 0.0091460062360312015, 0.0091467702927818459, 0.0091475938233180325, 0.0091484751495374168, 0.009149412482584867, 0.0091504039273206522, 0.0091514474867958572, 0.0091525410666793393, 0.0091536824795811472, 0.0091548694492182992, 0.0091560996143706073, 0.0091573705325766926, 0.0091586796835233346, 0.0091600244720852399, 0.0091614022309767056, 0.0091628102229819007, 0.0091642456427365147, 0.0091657056180404015, 0.0091671872106883542, 0.0091686874168149593, 0.0091702031667589296, 0.0091717313244629919, 0.009173268686437518, 0.0091748119803286687, 0.0091763578631467203, 0.0091779029192257597, 0.0091794436580031075, 0.0091809765117256189, 0.0091824978332098132, 0.0091840038938041397, 0.009185490881723931, 0.0091869549009527436, 0.0091883919709270043, 0.0091897980272440533, 0.0091911689236557435, 0.0091925004356296809, 0.0091937882657769886, 0.0091950280514577556, 0.0091962153748811008, 0.0091973457760147082, 0.0091984147686065051, 0.0091994178595965377, 0.0092003505721586689, 0.0092012084725567149, 0.0092019872009268429, 0.0092026825060063811, 0.0092032902837176113, 0.0092038066193849948, 0.0092042278332162188, 0.009204550528515704, 0.0092047716419272271, 0.0092048884948275778, 0.0092048988448225448, 0.0092048009361403241, 0.0092045935475853907, 0.0092042760366192571, 0.009203848378084481, 0.0092033111960937702, 0.0092026657876755867, 0.0092019141369056208, 0.0092010589184611889, 0.0092001034898088977, 0.0091990518715674673, 0.0091979087159635327, 0.0091966792637015998, 0.0091953692899800037, 0.0091939850407797875, 0.0091925331609110598, 0.0091910206156007104, 0.0091894546076283726, 0.0091878424921529277, 0.0091861916914113724, 0.0091845096114166816, 0.0091828035626362135, 0.009181080686409342, 0.0091793478885781495, 0.0091776117814767223, 0.00917587863507386, 0.0091741543377093209, 0.0091724443665246597, 0.0091707537673805014, 0.009169087143784652, 0.0091674486541375652, 0.0091658420164370969, 0.0091642705194732599, 0.0091627370394833079, 0.0091612440612226474, 0.0091597937024310381, 0.0091583877407293065, 0.0091570276420607916, 0.0091557145898873201, 0.009154449514454481, 0.0091532331215492327, 0.009152065920280391, 0.0091509482495145018, 0.0091498803026942837, 0.0091488621508516738, 0.0091478937637019964, 0.0091469750287692785, 0.009146105768545779, 0.0091452857557313798, 0.0091445147266320179, 0.0091437923928214485, 0.0091431184511881827, 0.0091424925925010607, 0.009141914508632925, 0.009141383898583549, 0.0091409004734412363, 0.0091404639604179046, 0.0091400741060855394, 0.0091397306789335366, 0.0091394334713568361, 0.0091391823011740675, 0.0091389770127639804, 0.0091388174778969759, 0.009138703596326599, 0.0091386352961945125, 0.0091386125342901147], [0.0093242283895208378, 0.0093242768701872654, 0.0093244222518228045, 0.009324664353916063, 0.0093250028775434205, 0.009325437408248427, 0.0093259674200455531, 0.0093265922805220811, 0.0093273112570048354, 0.0093281235237527866, 0.0093290281701316619, 0.0093300242097225424, 0.0093311105903133539, 0.009332286204720798, 0.0093335499023894219, 0.0093349005017154974, 0.0093363368030456497, 0.0093378576023039773, 0.0093394617052062739, 0.0093411479420270824, 0.0093429151828934055, 0.0093447623535890794, 0.0093466884518653998, 0.0093486925642674908, 0.0093507738835015668, 0.0093529317263860417, 0.009355165552450459, 0.0093574749832692795, 0.0093598598226448306, 0.0093623200777848917, 0.0093648559816559857, 0.0093674680167361597, 0.0093701569404396959, 0.0093729238125451822, 0.0093757700250276261, 0.0093786973347794022, 0.0093817078998056358, 0.0093848043196031791, 0.0093879896805834518, 0.0093912676075852478, 0.0093946423227550448, 0.0093981187133596808, 0.0094017024104568539, 0.0094053998808029549, 0.0094092185349517379, 0.0094131668552279914, 0.0094172545481934766, 0.0094214927274217201, 0.0094258941339471127, 0.0094304734037661472, 0.0094352473943990246, 0.0094402355859806424, 0.0094454605769364579, 0.0094509487004229686, 0.0094567307959612205, 0.0094628431819035672, 0.0094693288897681107, 0.0094762392428484419, 0.0094836358915393274, 0.0094915934605815135, 0.0095002030251957435, 0.0095095767236946082, 0.0095198539493781993, 0.0095312097700299171, 0.0095438665419845872, 0.0095581101907368776, 0.0095743134497302661, 0.0095929697149389169, 0.0096147435168374255, 0.0096405477674796746, 0.0096716655871539603, 0.009709949189395219, 0.0097581578631754894, 0.0098205601002041374, 0.0099040685034528543, 0.010020530696728668, 0.010191765867823088, 0.010461919922120892, 0.010932555600676144, 0.011885298476085621, 0.014373197391761319, 0.025314351957018581, 0.12043627929173138, 0.023001777422005824, 0.012582300270058567, 0.010591178126276314, 0.0099318672552438717, 0.0096479106484372978, 0.0095055170424892515, 0.0094267461533368967, 0.0093801233086384245, 0.0093511614803190677, 0.0093325274193960042, 0.0093202311520799407, 0.0093119753325207593, 0.0093063756360291169, 0.009302566205692385, 0.009299988366456088, 0.0092982720335304248, 0.0092971664539365281, 0.009296498364816861, 0.0092961459658053702, 0.0092960223120294554, 0.0092960644796109375, 0.009296226357137085, 0.0092964737653337196, 0.009296781101137571, 0.0092971289974483201, 0.0092975026703000386, 0.0092978907379105621, 0.0092982843678348238, 0.0092986766549416275, 0.009299062163533215, 0.0092994365873581997, 0.009299796495090544, 0.0093001391383119563, 0.0093004623055881284, 0.0093007642108127141, 0.0093010434072300432, 0.0093012987208538241, 0.0093015291986560111, 0.0093017340681005867, 0.0093019127054735501, 0.0093020646111058002, 0.0093021893900652689, 0.0093022867372546166, 0.0093023564261245136, 0.0093023983004244144, 0.0093024122685800986, 0.0093024101101309258, 0.0093024036336333046, 0.0093023928356559329, 0.0093023777105438119, 0.0093023582505159172, 0.0093023344458056691, 0.0093023062848482992, 0.0093022737545201926, 0.0093022368404370743, 0.0093021955273194148, 0.0093021497994354337, 0.0093020996411342666, 0.009302045037484729, 0.0093019859750378964, 0.0093019224427359805, 0.0093018544329940243, 0.0093017819429867046, 0.0093017049761789442, 0.0093016235441471615, 0.0093015376687475403, 0.0093014473846998406, 0.0093013527426697683, 0.0093012538129509138, 0.0093011506898697457, 0.0093010434970645546, 0.0093009323938240233, 0.0093008175827139789, 0.0093006993187753056, 0.0093005779206443984, 0.0093004537840342943, 0.0093003273981253493, 0.0093001993655559296, 0.0093000704268861607, 0.0092999414906439985, 0.0092998136703707872, 0.0092996883304871172, 0.0092995671433322089, 0.0092994521604379682, 0.0092993459020461831, 0.0092992514701558046, 0.0092991726921264964, 0.0092991143042519993, 0.0092990821880248667, 0.0092990836764437947, 0.0092991279542646212, 0.0092992265854694479, 0.0092993942148092163, 0.0092996495102164404, 0.0093000164425887048, 0.0093005260443845654, 0.0093012188576270111, 0.0093021483903023457, 0.0093033860735052699, 0.0093050284951808494, 0.0093072081614345523, 0.0093101098546257907, 0.0093139961101737171, 0.0093192480029716668, 0.009326432531815556, 0.0093364180677979469, 0.0093505807217293228, 0.0093711922143695642, 0.0094021941900035641, 0.0094508624916831777, 0.009531731734372887, 0.009677030110572667, 0.0099693018862020942, 0.010669937538335197, 0.012941476301241669, 0.025504964649259873, 0.034815181234338341, 0.015327425523994445, 0.011744379148985396, 0.010646715587883302, 0.010173257553416408, 0.0099250752398927864, 0.0097778504490285429, 0.0096827680613560049, 0.0096174480198111343, 0.0095704250536919038, 0.00953531397666048, 0.0095083195101064895, 0.0094870648703500732, 0.0094699965162234959, 0.0094560620830817059, 0.0094445268115645898, 0.0094348642159229942, 0.0094266884740690539, 0.0094197112355370056, 0.009413713232453139, 0.0094085251459288012, 0.0094040144192998349, 0.0094000759862245403, 0.0093966256325578156, 0.0093935951650997458, 0.0093909288420048267, 0.0093885806983570533, 0.0093865125161744674, 0.0093846922645171253, 0.0093830928866984221, 0.0093816913466394369, 0.0093804678706962286, 0.0093794053383755554, 0.0093784887875462911, 0.0093777050085771321, 0.0093770422083131327, 0.0093764897296365994, 0.0093760378160199897, 0.0093756774132962226, 0.0093754000030692765, 0.0093751974639179024, 0.0093750619579053632, 0.0093749858409584511, 0.009374961596452118, 0.0093749817918420807, 0.0093750390584273549, 0.0093751260942929772, 0.0093752356901793364, 0.0093753607774599429, 0.0093754944966149487, 0.0093756302836183296, 0.0093757619705947415, 0.0093758838960545238, 0.0093759910191060572, 0.0093760790314011428, 0.0093761444603071963, 0.0093761847570034799, 0.0093761983639047922, 0.0093761847570034765, 0.0093761444603071946, 0.0093760790314011428, 0.0093759910191060555, 0.0093758838960545255, 0.0093757619705947346, 0.0093756302836183296, 0.0093754944966149521, 0.0093753607774599429, 0.0093752356901793382, 0.0093751260942929772, 0.0093750390584273514, 0.009374981791842079, 0.0093749615964521197, 0.0093749858409584493, 0.0093750619579053632, 0.0093751974639178989, 0.0093754000030692678, 0.0093756774132962278, 0.0093760378160199897, 0.0093764897296365925, 0.0093770422083131327, 0.0093777050085771321, 0.0093784887875462929, 0.0093794053383755571, 0.0093804678706962304, 0.0093816913466394421, 0.0093830928866984169, 0.0093846922645171235, 0.0093865125161744726, 0.0093885806983570602, 0.0093909288420048233, 0.009393595165099751, 0.0093966256325578156, 0.0094000759862245403, 0.0094040144192998297, 0.0094085251459287925, 0.009413713232453139, 0.0094197112355370073, 0.0094266884740690522, 0.0094348642159229907, 0.0094445268115645846, 0.0094560620830817146, 0.0094699965162235011, 0.0094870648703500645, 0.0095083195101064791, 0.0095353139766604696, 0.0095704250536919298, 0.0096174480198110458, 0.0096827680613559459, 0.0097778504490285481, 0.0099250752398923597, 0.010173257553416063, 0.010646715587882445, 0.011744379148982695, 0.015327425523991906, 0.034815181234307657, 0.025504964649285044, 0.012941476301246724, 0.01066993753833629, 0.0099693018862026042, 0.009677030110572693, 0.009531731734373064, 0.0094508624916832228, 0.0094021941900035485, 0.0093711922143695624, 0.0093505807217293315, 0.0093364180677979348, 0.0093264325318155525, 0.0093192480029716581, 0.0093139961101737102, 0.0093101098546257855, 0.0093072081614345523, 0.0093050284951808528, 0.0093033860735052733, 0.0093021483903023491, 0.0093012188576270059, 0.0093005260443845689, 0.0093000164425887013, 0.0092996495102164387, 0.0092993942148092198, 0.0092992265854694479, 0.0092991279542646178, 0.0092990836764437913, 0.0092990821880248684, 0.0092991143042519993, 0.0092991726921264929, 0.0092992514701558011, 0.0092993459020461813, 0.0092994521604379682, 0.0092995671433322054, 0.0092996883304871207, 0.0092998136703707872, 0.0092999414906440019, 0.0093000704268861607, 0.0093001993655559313, 0.0093003273981253475, 0.0093004537840342925, 0.0093005779206443984, 0.0093006993187753038, 0.0093008175827139789, 0.0093009323938240233, 0.0093010434970645529, 0.0093011506898697405, 0.0093012538129509121, 0.0093013527426697665, 0.0093014473846998423, 0.0093015376687475403, 0.0093016235441471633, 0.0093017049761789476, 0.0093017819429867029, 0.0093018544329940226, 0.0093019224427359805, 0.0093019859750378981, 0.009302045037484729, 0.0093020996411342701, 0.0093021497994354319, 0.0093021955273194148, 0.0093022368404370743, 0.0093022737545201926, 0.009302306284848301, 0.0093023344458056691, 0.009302358250515912, 0.0093023777105438153, 0.0093023928356559329, 0.0093024036336333063, 0.0093024101101309292, 0.0093024122685800969, 0.0093024111894438374, 0.0093024079525190779, 0.0093024025592608403, 0.0093023950121041525, 0.0093023853144790728, 0.0093023734708319282, 0.0093023594866528773, 0.0093023433685100725, 0.0093023251240906529, 0.0093023047622488985, 0.0093022822930619968, 0.0093022577278937708, 0.0093022310794670243, 0.0093022023619449626, 0.0093021715910225674, 0.0093021387840284825, 0.0093021039600385009, 0.0093020671400015249, 0.0093020283468791751, 0.0093019876058002757, 0.0093019449442317131, 0.009301900392167212, 0.0093018539823358261, 0.0093018057504322266, 0.0093017557353710454, 0.0093017039795678068, 0.0093016505292494289, 0.0093015954347975115, 0.0093015387511281179, 0.0093014805381122587, 0.0093014208610417912, 0.0093013597911461299, 0.0093012974061658336, 0.0093012337909900607, 0.00930116903836576, 0.0093011032496876384, 0.0093010365358792198, 0.0093009690183767681, 0.009300900830229674, 0.0093008321173328815, 0.0093007630398091803, 0.009300693773562246, 0.0093006245120241908, 0.0093005554681254848, 0.0093004868765194613, 0.0093004189960989199, 0.0093003521128487508, 0.0093002865430857722, 0.0093002226371460689, 0.0093001607835906681, 0.009300101414013124, 0.0093000450085480232, 0.0092999921021977728, 0.0092999432921176805, 0.0092998992460263663, 0.0092998607119419516, 0.0092998285294851289, 0.0092998036430402223, 0.0092997871171272856, 0.0092997801544149206, 0.0092997841168989629, 0.0092998005508918777, 0.0092998312166182075, 0.0092998781234017135, 0.0092999435716720272, 0.009300030203328289, 0.0093001410623958017, 0.0093002796684280784, 0.0093004501057794946, 0.0093006571327578624, 0.0093009063158351907, 0.0093012041956542432, 0.00930155849366451, 0.0093019783710651099, 0.0093024747556259418, 0.0093030607573445622, 0.0093037522014258623, 0.0093045683177193049, 0.0093055326409906929, 0.0093066741985143604, 0.0093080290939980635, 0.0093096426454454314, 0.0093115723083704027, 0.0093138917299364875, 0.0093166964596747021, 0.0093201121327188743, 0.0093243064207044826, 0.0093295068576943474, 0.0093360280661178557, 0.0093443144646237417, 0.0093550093255596548, 0.0093690703925190071, 0.0093879714085817589, 0.0094140703713961327, 0.0094513212408908181, 0.0095067455973763173, 0.0095937390467858378, 0.0097403141955046211, 0.010012576502720794, 0.010594103934075857, 0.012114361761481153, 0.016930674079312969, 0.021318432691393271, 0.014350467766232609, 0.011453965148328521, 0.010445269014717803, 0.010005202682761774, 0.0097774974053721972, 0.0096449305542734461, 0.0095609661242934772, 0.0095043411731055016, 0.0094642594817805625, 0.0094347752915340186, 0.0094123968223989024, 0.0093949640299799513, 0.009381082150136057, 0.0093698176015475174, 0.0093605261020776407, 0.0093527511773018601, 0.0093461619428391804, 0.0093405137010082982, 0.0093356222644998595, 0.0093313467984509329, 0.0093275780952892535, 0.0093242304000214927, 0.0093212356072109644, 0.0093185390738848833, 0.0093160965533833837, 0.0093099625616887387, 0.0093051364726078143, 0.0093012160168782672, 0.0092979600627647804, 0.0092952246422604145, 0.0092929298823162445, 0.0092910431177535696, 0.0092895714135775524, 0.0092885603767595346, 0.0092880979840444244, 0.0092883231880376733, 0.0092894396781403859, 0.0092917354358932284, 0.0092956084149270583, 0.0093015971327010723, 0.0093104107526350253, 0.009322943713062767, 0.0093402412434286305, 0.0093633516204442522, 0.0093929681193585472, 0.0094287759274322789, 0.0094685913473330375, 0.009507821688557256, 0.0095402286046362365, 0.0095604819689856999, 0.0095670324066044962, 0.0095626369934002226, 0.0095520623998333627, 0.0095394015689781418, 0.0095269979472901219, 0.0095157631667417645, 0.0095058550693871945, 0.0094971558806358179, 0.0094894951375298631, 0.0094827227541922025, 0.0094767205317197976, 0.0094713958551059553, 0.0094666735498245957, 0.0094624899275375166, 0.0094587891292725775, 0.0094555210324547313, 0.0094526400622243142, 0.0094501044806558909, 0.0094478759155118015, 0.0094459190075299945, 0.0094442011199152558, 0.0094426920862773558, 0.0094413639882305229, 0.0094401909598923733, 0.0094391490183315507, 0.0094382159190426161, 0.009437371034950421, 0.0094365952567916946, 0.0094358709121985882, 0.009435181700479257, 0.0094345126399523437, 0.0094338500247204259, 0.0094331813879306343, 0.00943249546883701, 0.0094317821813212598, 0.0094310325819189772, 0.0094302388358157539, 0.0094293941796997627, 0.0094284928807664998, 0.0094275301915530043, 0.0094265023006186131, 0.009425406279379947, 0.0094242400256418606, 0.0094230022045419456, 0.0094216921877434898, 0.0094203099917744351, 0.0094188562164223, 0.0094173319840651602, 0.0094157388807532012, 0.0094140788997638981, 0.0094123543882435982, 0.0094105679974271546, 0.0094087226368028531, 0.0094068214324668168, 0.0094048676897951228, 0.0094028648604556724, 0.0094008165136883724, 0.0093987263117022157, 0.0093965979889723862, 0.009394435335168802, 0.009392242181409315, 0.0093900223895044353, 0.0093877798438449719, 0.0093855184455776709, 0.0093832421087151948, 0.0093809547578345819, 0.0093786603270305195, 0.0093763627598061651, 0.0093740660096028969, 0.0093717740406911131, 0.0093694908291658951, 0.0093672203638137125, 0.0093649666466390988, 0.0093627336928627999, 0.009360525530225438, 0.0093583461974532049, 0.0093561997417642428, 0.0093540902153165552, 0.0093520216705202559, 0.009349998154159404, 0.0093480237002904008, 0.0093461023219067983, 0.0093442380013824371, 0.0093424346797276372, 0.0093406962447153217, 0.0093390265179565165, 0.0093374292410261309, 0.0093359080607610043, 0.0093344665138720521, 0.0093331080110308096, 0.0093318358206068205, 0.0093306530522467776, 0.0093295626404972434, 0.0093285673286813229, 0.0093276696532438724, 0.0093268719287807559, 0.0093261762339643169, 0.0093255843985695815, 0.0093250979917941876, 0.0093247183120488009, 0.0093244463783754908, 0.00932428292362791, 0.0093242283895208378, 0.0093242647474477587, 0.0093243737450575369, 0.0093245551540970181, 0.0093248085950068879, 0.009325133538204352, 0.009325529305856544, 0.0093259950741227376, 0.0093265298758374651, 0.0093271326036013479, 0.0093278020132413868, 0.0093285367275977339, 0.0093293352405900906, 0.009330195921513346, 0.0093311170195090262, 0.0093320966681572255, 0.009333132890131584, 0.0093342236018594746, 0.0093353666181289329, 0.0093365596565843905, 0.0093378003420545898, 0.0093390862106575226, 0.0093404147136301706, 0.0093417832208336753, 0.0093431890238888475, 0.0093446293389014886, 0.0093461013087424143, 0.0093476020048534701, 0.0093491284285580692, 0.0093506775118624673, 0.0093522461177435491, 0.0093538310399285517, 0.0093554290021836059, 0.0093570366571405581, 0.0093586505847049802, 0.0093602672901038977, 0.0093618832016481423, 0.0093634946683025817, 0.0093650979571771025, 0.0093666892510725214, 0.0093682646462380764, 0.0093698201505207964, 0.0093713516821117889, 0.0093728550691190623, 0.0093743260502213779, 0.0093757602766810274, 0.009377153316014861, 0.0093785006576409032, 0.0093797977208310603, 0.0093810398653068686, 0.0093822224048131769, 0.0093833406239918291, 0.0093843897988516289, 0.0093853652210898614, 0.0093862622264625616, 0.0093870762273229949, 0.0093878027493506273, 0.0093884374723737837, 0.0093889762750507064, 0.0093894152830161035, 0.0093897509199276086, 0.0093899799606637288, 0.0093900995857383995, 0.0093901074358158608, 0.00939000166504338, 0.0093897809917791834, 0.0093894447451908815, 0.0093889929061473556, 0.0093884261408343581, 0.0093877458255997599, 0.0093869540616831528, 0.0093860536787076544, 0.0093850482261045379, 0.0093839419519959593, 0.0093827397694623699, 0.0093814472105510603, 0.009380070368818879, 0.0093786158316214747, 0.0093770906037395196, 0.00937550202424744, 0.0093738576787635863, 0.0093721653093596768, 0.0093704327244447209, 0.0093686677108745006, 0.0093668779503790541, 0.0093650709421594022, 0.0093632539331990096, 0.0093614338574845267, 0.0093596172849567481, 0.0093578103806365113, 0.0093560188740112998, 0.009354248038442441, 0.0093525026800719262, 0.0093507871354799443, 0.0093491052771735514, 0.0093474605258724343, 0.0093458558684973402, 0.0093442938807541467, 0.0093427767532347911, 0.0093413063200176727, 0.0093398840888353936, 0.0093385112719805447, 0.0093371888172317941, 0.0093359174381978938, 0.0093346976435907756, 0.009333529765046724, 0.0093324139832142421, 0.0093313503519164079, 0.0093303388202735978, 0.0093293792527388685, 0.0093284714470534894, 0.0093276151501747, 0.0093268100722621664, 0.0093260558988357122, 0.009325352301234973, 0.0093246989455230793, 0.0093240954999827957, 0.009323541641354658, 0.0093230370599647408, 0.0093225814638844273, 0.009322174582257205, 0.0093218161679184675, 0.0093215059994240755, 0.0093212438825920965, 0.0093210296516506481, 0.0093208631700724305, 0.0093207443311643118, 0.0093206730584680011, 0.0093206493060151371], [0.0095062364387877452, 0.0095062869792800452, 0.0095064385382327525, 0.0095066909286814043, 0.0095070438410416198, 0.0095074968461294346, 0.009508049399361309, 0.0095087008461065374, 0.0095094504281574774, 0.0095102972912771457, 0.0095112404937787165, 0.0095122790160871076, 0.0095134117712299127, 0.0095146376162033863, 0.0095159553641587444, 0.0095173637973548809, 0.0095188616808265201, 0.0095204477767207238, 0.009522120859260165, 0.0095238797302993842, 0.0095257232354487957, 0.009527650280752616, 0.0095296598499191466, 0.0095317510221171603, 0.0095339229903690179, 0.0095361750805906757, 0.0095385067713514606, 0.0095409177144519033, 0.0095434077564476409, 0.0095459769612815416, 0.0095486256342255105, 0.0095513543473802372, 0.0095541639670350832, 0.0095570556832552805, 0.0095600310421405654, 0.0095630919812924181, 0.0095662408691393683, 0.0095694805489070361, 0.009572814388188142, 0.0095762463352751601, 0.0095797809836765634, 0.0095834236465594507, 0.0095871804432652776, 0.0095910584005548232, 0.0095950655718840261, 0.0095992111788346587, 0.0096035057798767448, 0.0096079614729951916, 0.0096125921404678939, 0.0096174137463682328, 0.009622444700360137, 0.009627706305306849, 0.0096332233114695149, 0.0096390246071136453, 0.0096451440848620475, 0.009651621736126461, 0.0096585050438709272, 0.0096658507689598334, 0.009673727260654923, 0.0096822174723830874, 0.009691422937360139, 0.0097014690671283019, 0.0097125122990498868, 0.0097247498683792205, 0.0097384333706990647, 0.0097538879043885182, 0.0097715396054722896, 0.0097919561102769465, 0.0098159074745999726, 0.0098444604595341999, 0.009879129152685566, 0.0099221245495812425, 0.0099767861593466761, 0.010048367066049061, 0.010145551330084017, 0.010283613840370572, 0.010491647858742457, 0.010831246020648708, 0.011453548026026701, 0.012821513277734059, 0.016998671093346969, 0.043735515152428225, 0.066781552925276974, 0.016669774844762959, 0.011691823253225698, 0.010442451980624117, 0.0099752788218979323, 0.0097601995458211424, 0.0096478397834405833, 0.009584008318417752, 0.0095455580771950203, 0.0095214021741764077, 0.009505760242344315, 0.0094954154076637726, 0.009488482548345745, 0.0094838098046164821, 0.0094806686754203666, 0.0094785849160500431, 0.0094772421297059633, 0.009476424721948009, 0.0094759830544840322, 0.0094758115655937981, 0.0094758346990112888, 0.0094759976623896933, 0.0094762602440659309, 0.0094765926072810959, 0.0094769723869435017, 0.0094773826587200918, 0.0094778105011026573, 0.0094782459660099506, 0.0094786813343088281, 0.0094791105722676471, 0.0094795289311708671, 0.0094799326499069182, 0.0094803187322834211, 0.0094806847790292713, 0.0094810288601406729, 0.0094813494172232438, 0.0094816451883094587, 0.0094819151496479525, 0.0094821584704124287, 0.0094823744773301823, 0.0094825626269988954, 0.0094827224842263785, 0.0094828537051485726, 0.0094829560241965309, 0.0094830292442229253, 0.0094830732292837949, 0.0094830878997176765, 0.0094830856219307452, 0.0094830787870514473, 0.0094830673905397875, 0.009483051424881166, 0.0094830308796662131, 0.0094830057417058123, 0.0094829759951849269, 0.0094829416218597685, 0.0094829026013043098, 0.0094828589112135389, 0.0094828105277726255, 0.009482757426103116, 0.0094826995807996989, 0.0094826369665737265, 0.0094825695590233117, 0.0094824973355533467, 0.0094824202764741267, 0.00948233836631256, 0.0094822515953774736, 0.0094821599616286799, 0.0094820634729102498, 0.0094819621496213483, 0.0094818560279133941, 0.0094817451635225234, 0.0094816296363699828, 0.0094815095560936823, 0.0094813850687115557, 0.0094812563646648473, 0.0094811236885489203, 0.0094809873509146478, 0.009480847742619208, 0.0094807053523277146, 0.0094805607879243532, 0.0094804148027948665, 0.0094802683282062036, 0.0094801225133538409, 0.0094799787751010008, 0.0094798388600341697, 0.0094797049222602285, 0.0094795796214461724, 0.0094794662470594968, 0.0094793688767575348, 0.0094792925796175244, 0.0094792436787173671, 0.0094792300929460675, 0.0094792617855567092, 0.0094793513579576449, 0.0094795148432412959, 0.009479772777591957, 0.0094801516631617712, 0.0094806859900150569, 0.0094814210684893551, 0.0094824170556869983, 0.0094837547734479034, 0.0094855442680206702, 0.0094879376595735677, 0.0094911488721115423, 0.0094954847106128934, 0.0095013952529331581, 0.009509558328562125, 0.0095210267188291526, 0.0095374965374447982, 0.0095618236655687638, 0.0095990845545514281, 0.0096589383952072182, 0.0097614549490256282, 0.0099535675264154442, 0.010365006414747554, 0.011458175013848115, 0.015742857923736031, 0.04141522210655401, 0.023248028846782398, 0.013546136413489954, 0.011398251208039625, 0.010623005147678445, 0.010256682468845703, 0.010053455858397956, 0.0099281728552578375, 0.0098449864162639348, 0.0097866320625214203, 0.0097439343202429668, 0.0097116356317927827, 0.0096865390844364675, 0.0096666050415033858, 0.0096504795095771999, 0.0096372331833970409, 0.009626209878187228, 0.0096169347944715135, 0.0096090569947889972, 0.0096023122057559956, 0.0095964981050121259, 0.0095914575053081975, 0.009587066665370363, 0.0095832270071139359, 0.0095798591436878668, 0.0095768985048317323, 0.0095742920852339569, 0.0095719959946805079, 0.0095699735887467378, 0.009568194025260969, 0.009566631136730723, 0.0095652625398193192, 0.0095640689245128745, 0.0095630334808707428, 0.0095621414322005736, 0.0095613796514712451, 0.0095607363436646005, 0.0095602007811802434, 0.009559763082762119, 0.009559414028997279, 0.0095591449094410245, 0.0095589473979778971, 0.0095588134542174252, 0.0095587352495982575, 0.0095587051174588454, 0.0095587155266406935, 0.0095587590782268729, 0.0095588285247918767, 0.009558916811066305, 0.0095590171342355545, 0.0095591230212490365, 0.0095592284195937013, 0.0095593277970795199, 0.0095594162454065157, 0.0095594895817457965, 0.0095595444423717188, 0.0095595783626015451, 0.0095595898379632806, 0.0095595783626015399, 0.0095595444423717188, 0.0095594895817458, 0.0095594162454065174, 0.0095593277970795164, 0.0095592284195936961, 0.0095591230212490365, 0.0095590171342355562, 0.0095589168110663068, 0.0095588285247918785, 0.0095587590782268746, 0.0095587155266406865, 0.0095587051174588437, 0.0095587352495982575, 0.0095588134542174252, 0.0095589473979778971, 0.0095591449094410245, 0.0095594140289972703, 0.0095597630827621242, 0.0095602007811802451, 0.0095607363436645953, 0.0095613796514712451, 0.0095621414322005736, 0.0095630334808707446, 0.0095640689245128779, 0.0095652625398193226, 0.009566631136730723, 0.0095681940252609673, 0.0095699735887467344, 0.0095719959946805148, 0.0095742920852339621, 0.0095768985048317323, 0.009579859143687872, 0.0095832270071139394, 0.0095870666653703682, 0.0095914575053081888, 0.009596498105012119, 0.0096023122057560025, 0.0096090569947890041, 0.0096169347944715065, 0.0096262098781872262, 0.0096372331833970322, 0.0096504795095772086, 0.009666605041503391, 0.009686539084436457, 0.0097116356317927706, 0.0097439343202429529, 0.0097866320625214498, 0.0098449864162638255, 0.0099281728552577751, 0.010053455858397956, 0.010256682468845127, 0.010623005147677915, 0.011398251208038175, 0.013546136413483963, 0.023248028846774651, 0.04141522210658425, 0.015742857923743525, 0.011458175013850245, 0.010365006414748178, 0.0099535675264157929, 0.0097614549490256369, 0.0096589383952073466, 0.0095990845545514663, 0.0095618236655687517, 0.0095374965374447999, 0.0095210267188291595, 0.0095095583285621146, 0.0095013952529331529, 0.0094954847106128917, 0.0094911488721115406, 0.0094879376595735643, 0.0094855442680206684, 0.0094837547734479069, 0.0094824170556869983, 0.0094814210684893568, 0.0094806859900150552, 0.0094801516631617747, 0.0094797727775919535, 0.0094795148432412959, 0.0094793513579576466, 0.0094792617855567092, 0.0094792300929460675, 0.0094792436787173653, 0.0094792925796175261, 0.0094793688767575365, 0.0094794662470594968, 0.0094795796214461707, 0.0094797049222602216, 0.0094798388600341732, 0.0094799787751010042, 0.0094801225133538426, 0.0094802683282061984, 0.0094804148027948683, 0.0094805607879243515, 0.0094807053523277146, 0.0094808477426192046, 0.0094809873509146443, 0.0094811236885489186, 0.0094812563646648456, 0.0094813850687115574, 0.0094815095560936841, 0.0094816296363699794, 0.0094817451635225217, 0.0094818560279133907, 0.0094819621496213466, 0.0094820634729102533, 0.0094821599616286747, 0.0094822515953774788, 0.0094823383663125652, 0.0094824202764741249, 0.0094824973355533467, 0.0094825695590233083, 0.0094826369665737299, 0.0094826995807996972, 0.0094827574261031194, 0.0094828105277726272, 0.0094828589112135372, 0.0094829026013043098, 0.0094829416218597667, 0.0094829759951849217, 0.0094830057417058088, 0.0094830308796662096, 0.0094830514248811695, 0.009483067390539791, 0.0094830787870514507, 0.0094830856219307452, 0.0094830878997176713, 0.0094830867609234076, 0.0094830833449710706, 0.0094830776531547711, 0.0094830696876404032, 0.0094830594514792917, 0.0094830469486274823, 0.0094830321839707039, 0.0094830151633554099, 0.0094829958936259191, 0.0094829743826681002, 0.0094829506394599195, 0.0094829246741292162, 0.0094828964980192415, 0.0094828661237624286, 0.0094828335653631239, 0.0094827988382898288, 0.00948276195957788, 0.009482722947943386, 0.0094826818239094352, 0.0094826386099457084, 0.0094825933306227923, 0.0094825460127825646, 0.0094824966857263108, 0.0094824453814223355, 0.0094823921347351476, 0.0094823369836783897, 0.0094822799696942291, 0.0094822211379620124, 0.009482160537739431, 0.0094820982227399563, 0.0094820342515507059, 0.0094819686880953918, 0.0094819016021478152, 0.0094818330699019213, 0.0094817631746053534, 0.0094816920072644164, 0.0094816196674294296, 0.0094815462640707344, 0.0094814719165572034, 0.0094813967557506942, 0.0094813209252320417, 0.0094812445826764798, 0.0094811679013991172, 0.0094810910720944212, 0.0094810143047973621, 0.009480937831098487, 0.0094808619066503071, 0.0094807868140089208, 0.0094807128658620059, 0.0094806404087033821, 0.0094805698270249462, 0.0094805015481094941, 0.0094804360475233326, 0.0094803738554260792, 0.0094803155638375353, 0.0094802618350286385, 0.0094802134112369953, 0.0094801711259479508, 0.0094801359170325096, 0.009480108842095129, 0.0094800910964612378, 0.0094800840343298547, 0.0094800891937365968, 0.0094801083261228363, 0.0094801434314974956, 0.0094801968004203721, 0.0094802710643459472, 0.0094803692562659431, 0.0094804948841056662, 0.0094806520200036871, 0.0094808454094894162, 0.0094810806057446483, 0.0094813641356970881, 0.0094817037067941139, 0.0094821084661544427, 0.0094825893276973688, 0.009483159388246629, 0.0094838344611520801, 0.0094846337666437078, 0.0094855808334095536, 0.0094867046880493695, 0.0094880414416591095, 0.0094896364315106164, 0.0094915471497795945, 0.0094938473057126944, 0.0094966325481492687, 0.0095000286663136039, 0.0095042035671798544, 0.0095093851419105393, 0.0095158885549049901, 0.0095241590519277147, 0.0095348411805229183, 0.0095488946790384509, 0.0095677964700088946, 0.0095939097369074269, 0.0096311971305580082, 0.0096866952439145539, 0.0097738264003137433, 0.0099206515397273383, 0.010193359150476977, 0.010775608960584958, 0.012296276379165505, 0.017107866038446707, 0.021551553815090625, 0.01457646991073081, 0.011654996663619381, 0.01063682947425478, 0.010192608219343386, 0.0099627427350146812, 0.0098289042705081205, 0.0097441210046218547, 0.0096869323468164632, 0.0096464421496515081, 0.0096166496763427575, 0.0095940308046449617, 0.0095764054062277993, 0.0095623656779764196, 0.0095509692532901903, 0.0095415657422380212, 0.0095336943089213023, 0.0095270208819999806, 0.0095212983882517858, 0.0095163408388287823, 0.0095120060120452224, 0.0095081836188901873, 0.0095047870517370667, 0.0095017475267064402, 0.0094990098569911457, 0.009492200425675763, 0.0094869088390473477, 0.0094826512274327791, 0.0094791403308253398, 0.009476204557543175, 0.0094737465964612969, 0.0094717221532765183, 0.0094701299973877079, 0.0094690092390037582, 0.0094684420672090062, 0.0094685614189617077, 0.0094695637462326177, 0.0094717273357218367, 0.0094754363312062016, 0.0094812091062057829, 0.0094897256249358627, 0.0095018395453401565, 0.0095185437415682868, 0.009540830892509046, 0.0095693632647788733, 0.0096038810337763965, 0.0096424347366810548, 0.0096809088985784567, 0.0097136772321124547, 0.0097357921411108193, 0.0097454782316447851, 0.0097447099409327369, 0.0097374084402267486, 0.0097271866453647084, 0.0097163231704217173, 0.0097058983927117096, 0.0096962952539292671, 0.00968758824434106, 0.0096797438706488735, 0.0096727004757752623, 0.009666393450784249, 0.0096607610390552958, 0.0096557448498747617, 0.0096512895456494479, 0.0096473426914158392, 0.0096438547846181902, 0.0096407793307340828, 0.0096380728760304766, 0.0096356949677514382, 0.0096336080471962921, 0.0096317772952943023, 0.0096301704523335998, 0.0096287576301637458, 0.0096275111302503158, 0.0096264052761975728, 0.0096254162654352462, 0.0096245220418113547, 0.0096237021887467869, 0.0096229378412241405, 0.0096222116140419374, 0.0096215075433282067, 0.0096208110381681838, 0.009620108839277889, 0.009619388981886294, 0.0096186407603259839, 0.0096178546922372973, 0.0096170224807326354, 0.0096161369733199012, 0.0096151921168242723, 0.009614182907959035, 0.0096131053395626127, 0.0096119563428324652, 0.0096107337261378371, 0.0096094361111819741, 0.0096080628674093515, 0.0096066140456188328, 0.0096050903117554601, 0.0096034928818188679, 0.0096018234587545038, 0.0096000841720933327, 0.0095982775209860795, 0.0095964063211470742, 0.009594473656088438, 0.0095924828328934255, 0.0095904373426534233, 0.0095883408255800669, 0.0095861970407045069, 0.0095840098399915512, 0.0095817831466274515, 0.0095795209371863522, 0.0095772272273410321, 0.0095749060607567323, 0.0095725615007919342, 0.0095701976246244727, 0.0095678185194239332, 0.0095654282802007523, 0.0095630310089764442, 0.0095606308149376248, 0.0095582318152571781, 0.0095558381362884342, 0.0095534539148619275, 0.0095510832994382643, 0.0095487304508951043, 0.0095463995427504354, 0.0095440947606481533, 0.0095418203009559159, 0.0095395803683485277, 0.009537379172273595, 0.0095352209222191141, 0.0095331098217263117, 0.0095310500611137782, 0.0095290458089027572, 0.0095271012019566975, 0.0095252203343716528, 0.0095234072451776518, 0.0095216659049342997, 0.0095200002013265395, 0.0095184139238883372, 0.0095169107480028454, 0.0095154942183467549, 0.0095141677319635874, 0.0095129345211655905, 0.0095117976364753453, 0.0095107599298272418, 0.0095098240382531871, 0.0095089923682780148, 0.0095082670812465173, 0.009507650079796039, 0.0095071429956764871, 0.0095067471791026783, 0.0095064636898037728, 0.0095062932899097983, 0.0095062364387877452, 0.0095062743414615573, 0.0095063879702200482, 0.0095065770875450081, 0.0095068412984712462, 0.0095071800519225744, 0.0095075926425588313, 0.0095080782131109296, 0.0095086357571748242, 0.0095092641224296011, 0.0095099620142396497, 0.0095107279995959929, 0.0095115605113476696, 0.0095124578526704397, 0.0095134182017169375, 0.0095144396163902335, 0.0095155200391807537, 0.0095166573020059823, 0.0095178491309915771, 0.0095190931511334176, 0.0095203868907809755, 0.0095217277858844276, 0.0095231131839505455, 0.009524540347655687, 0.0095260064580684964, 0.0095275086174397266, 0.0095290438515222564, 0.00953060911139114, 0.0095322012747408851, 0.0095338171466455377, 0.0095354534597768131, 0.0095371068740858801, 0.0095387739759663793, 0.0095404512769294639, 0.0095421352118357766, 0.0095438221367458043, 0.0095455083264673769, 0.0095471899718981759, 0.0095488631772823618, 0.0095505239575224294, 0.0095521682357115958, 0.009553791841077049, 0.0095553905075504587, 0.0095569598732085943, 0.0095584954808531492, 0.0095599927800239203, 0.0095614471307624536, 0.0095628538094624446, 0.0095642080171574797, 0.0095655048906037425, 0.0095667395165133715, 0.0095679069492808008, 0.0095690022325171722, 0.009570020424664762, 0.0095709566289014728, 0.0095718060274634625, 0.0095725639204101431, 0.0095732257687299212, 0.0095737872415371638, 0.0095742442669435757, 0.0095745930860034831, 0.0095748303089377707, 0.0095749529726431772, 0.0095749585983008062, 0.0095748452477210262, 0.0095746115769137288, 0.0095742568852649548, 0.0095737811586464293, 0.0095731851047937706, 0.0095724701793713941, 0.0095716386013022341, 0.0095706933561796482, 0.0095696381868922483, 0.0095684775709708857, 0.009567216684594931, 0.0095658613536520574, 0.0095644179927094567, 0.0095628935331982245, 0.0095612953425119416, 0.0095596311360513012, 0.0095579088844901777, 0.0095561367186808629, 0.0095543228346501568, 0.0095524754010647278, 0.0095506024713704323, 0.0095487119025501367, 0.0095468112821166587, 0.0095449078645831516, 0.0095430085182560288, 0.0095411196827970279, 0.0095392473376221289, 0.0095373969808621555, 0.0095355736183155831, 0.0095337817615866269, 0.00953202543442477, 0.0095303081861649857, 0.0095286331111076265, 0.0095270028726674207, 0.0095254197311536309, 0.0095238855741109005, 0.009522401948242552, 0.0095209700920478538, 0.0095195909684237748, 0.0095182652966038072, 0.0095169935829265834, 0.0095157761500403778, 0.0095146131642544953, 0.0095135046608417709, 0.0095124505671781972, 0.009511450723674859, 0.0095105049025148401, 0.0095096128242538897, 0.009508774172379237, 0.0095079886059477592, 0.00950725577044308, 0.0095065753070028812, 0.0095059468601736575, 0.0095053700843512248, 0.0095048446490627585, 0.0095043702432403773, 0.0095039465786285176, 0.0095035733924574116, 0.0095032504495043985, 0.0095029775436525788, 0.0095027544990443028, 0.0095025811709140359, 0.0095024574461721033, 0.0095023832437981775, 0.0095023585150897302], [0.0096820255042400442, 0.0096820781212005012, 0.0096822359074293981, 0.0096824986696065658, 0.0096828660876514955, 0.0096833377178882386, 0.0096839129974467166, 0.0096845912498721553, 0.0096853716919067367, 0.0096862534414016224, 0.0096872355263122288, 0.0096883168947252529, 0.0096894964258629809, 0.0096907729420089954, 0.0096921452212989454, 0.0096936120113212849, 0.0096951720434759539, 0.0096968240480434509, 0.0096985667699226868, 0.0097003989850044537, 0.0097023195171567732, 0.0097043272558106249, 0.0097064211741479372, 0.0097086003479103736, 0.0097108639748656883, 0.0097132113949898145, 0.0097156421114475092, 0.0097181558124821935, 0.0097207523943580575, 0.0097234319855351008, 0.0097261949723007387, 0.0097290420261333162, 0.0097319741331322856, 0.0097349926259215555, 0.009738099218517841, 0.0097412960447589066, 0.0097445857010113133, 0.0097479712940300063, 0.0097514564950296877, 0.0097550456012594003, 0.0097587436066602033, 0.0097625562835459163, 0.0097664902776992153, 0.0097705532198471626, 0.0097747538572055623, 0.0097791022097074107, 0.0097836097567186014, 0.0097882896615763063, 0.0097931570432739645, 0.0097982293072131198, 0.0098035265503542239, 0.0098090720606149231, 0.0098148929363881532, 0.0098210208601531655, 0.0098274930711475927, 0.0098343535971375309, 0.0098416548261997857, 0.0098494595286975854, 0.0098578434811874647, 0.0098668989038321071, 0.0098767390103724675, 0.0098875040997318305, 0.0098993698150772746, 0.0099125584997882318, 0.0099273550584487846, 0.0099441295034924451, 0.009963369647470131, 0.0099857295811210528, 0.010012103413582055, 0.01004374074848079, 0.010082433666984292, 0.010130831475222939, 0.010192995195169568, 0.010275428803644083, 0.010389127244784019, 0.010553988263678933, 0.010809354243858579, 0.011242906387245418, 0.012086595376219046, 0.014142532820091043, 0.02191607190888244, 0.097934592544130727, 0.031523179041575609, 0.013962112948889889, 0.011221595783274359, 0.010389020724040002, 0.010047151339853672, 0.0098810122943835312, 0.0097912097316668924, 0.0097390400103233889, 0.0097071515605924863, 0.0096869372051673636, 0.0096737897981261749, 0.0096650928683975068, 0.0096592885698863536, 0.0096554129507836414, 0.0096528502028645682, 0.0096511962195071719, 0.0096501796742513163, 0.0096496147513687163, 0.009649371973720967, 0.0096493597264771438, 0.0096495122875553067, 0.009649781917947681, 0.0096501335424617925, 0.0096505411163297743, 0.0096509851084972328, 0.0096514507363112678, 0.0096519267130113617, 0.0096524043496808726, 0.0096528769050604236, 0.0096533391105236271, 0.009653786820048459, 0.0096542167501942194, 0.0096546262854400062, 0.0096550133313711636, 0.0096553762031648602, 0.0096557135403145568, 0.0096560242410059262, 0.0096563074113237904, 0.0096565623257417361, 0.0096567883962689529, 0.0096569851483030676, 0.0096571522017342201, 0.0096572892562140702, 0.00965739607977994, 0.0096574725002336655, 0.0096575183988367348, 0.0096575337060108134, 0.0096575313180351039, 0.0096575241522561996, 0.0096575122031311075, 0.0096574954614630625, 0.0096574739144653192, 0.0096574475458534054, 0.0096574163359688953, 0.0096573802619388319, 0.0096573392978759505, 0.009657293415126349, 0.0096572425825726046, 0.0096571867670021891, 0.0096571259335531436, 0.0096570600462512497, 0.0096569890686562642, 0.0096569129646378246, 0.0096568316993062928, 0.0096567452401286873, 0.0096566535582662642, 0.0096565566301776585, 0.0096564544395409836, 0.0096563469795595512, 0.0096562342557296611, 0.0096561162891663898, 0.009655993120604384, 0.0096558648152171647, 0.0096557314684315599, 0.0096555932129550534, 0.0096554502272859482, 0.0096553027460417867, 0.0096551510725248271, 0.0096549955940494654, 0.0096548368006926163, 0.0096546753083031796, 0.0096545118868336909, 0.0096543474953529138, 0.0096541833254855432, 0.0096540208555365957, 0.009653861918237203, 0.0096537087859575529, 0.0096535642784585807, 0.0096534318999205344, 0.0096533160142728888, 0.0096532220710145479, 0.00965315689813823, 0.0096531290850250511, 0.0096531494871109173, 0.0096532318970526908, 0.0096533939460689572, 0.009653658327297341, 0.0096540544755307958, 0.0096546209029600583, 0.0096554084925582918, 0.0096564852133758806, 0.0096579429870111734, 0.0096599078768287404, 0.0096625555297160451, 0.0096661351392379313, 0.0096710076444128604, 0.0096777085163686754, 0.009687054670667156, 0.009700334164967921, 0.0097196595331632361, 0.0097486653350053274, 0.0097939865918127214, 0.0098686829259676343, 0.01000112795312579, 0.01026189637452316, 0.010864674777566389, 0.012691821115410028, 0.02181538205525195, 0.04396823847277679, 0.017573332894734978, 0.012601060155677808, 0.011213665699124643, 0.010643875169838047, 0.01035365358191955, 0.010184650430960422, 0.010076888426809384, 0.010003539040596619, 0.0099511010063554478, 0.0099121558366613866, 0.0098823400957052544, 0.0098589439859247535, 0.0098402083289707756, 0.0098249481538562108, 0.0098123400025546068, 0.0098017961735543217, 0.0097928874361894666, 0.0097852939202496599, 0.009778772986156873, 0.0097731376576699804, 0.009768241810729144, 0.009763969792220965, 0.0097602290085030304, 0.0097569445448938801, 0.0097540551993327961, 0.0097515105169366234, 0.0097492685435568664, 0.0097472941028941846, 0.0097455574596385375, 0.0097440332705401988, 0.0097426997525918262, 0.0097415380166462912, 0.0097405315284240998, 0.0097396656687053947, 0.0097389273717053589, 0.0097383048259792569, 0.0097377872262250781, 0.0097373645674113645, 0.0097370274750049179, 0.0097367670668749174, 0.0097365748438181816, 0.0097364426066562978, 0.0097363623985414257, 0.0097363264715002312, 0.0097363272763615893, 0.0097363574750699029, 0.0097364099740057022, 0.0097364779763561282, 0.0097365550508525592, 0.0097366352133958795, 0.0097367130173096703, 0.0097367836472997439, 0.0097368430117541638, 0.0097368878278814627, 0.0097369156944179542, 0.0097369251472644042, 0.009736915694417949, 0.0097368878278814609, 0.0097368430117541638, 0.0097367836472997422, 0.0097367130173096703, 0.0097366352133958743, 0.0097365550508525609, 0.00973647797635613, 0.0097364099740057022, 0.0097363574750699011, 0.0097363272763615945, 0.0097363264715002243, 0.0097363623985414205, 0.0097364426066562978, 0.009736574843818185, 0.0097367670668749191, 0.0097370274750049161, 0.0097373645674113558, 0.0097377872262250798, 0.0097383048259792569, 0.0097389273717053554, 0.0097396656687053947, 0.0097405315284240981, 0.0097415380166462947, 0.0097426997525918262, 0.0097440332705401953, 0.0097455574596385375, 0.0097472941028941811, 0.0097492685435568629, 0.0097515105169366269, 0.0097540551993327979, 0.0097569445448938783, 0.0097602290085030338, 0.0097639697922209719, 0.009768241810729144, 0.0097731376576699718, 0.009778772986156866, 0.0097852939202496634, 0.0097928874361894701, 0.0098017961735543183, 0.0098123400025546016, 0.0098249481538562073, 0.0098402083289707842, 0.0098589439859247587, 0.0098823400957052422, 0.0099121558366613727, 0.0099511010063554339, 0.010003539040596659, 0.010076888426809247, 0.010184650430960339, 0.01035365358191956, 0.010643875169837167, 0.011213665699123777, 0.012601060155675027, 0.017573332894719899, 0.04396823847276584, 0.021815382055268381, 0.012691821115412798, 0.010864674777567479, 0.010261896374523518, 0.010001127953126005, 0.0098686829259676447, 0.0097939865918128151, 0.0097486653350053534, 0.0097196595331632309, 0.009700334164967921, 0.0096870546706671629, 0.0096777085163686685, 0.009671007644412857, 0.0096661351392379278, 0.0096625555297160399, 0.0096599078768287404, 0.0096579429870111717, 0.0096564852133758806, 0.0096554084925582918, 0.0096546209029600566, 0.009654054475530794, 0.009653658327297341, 0.009653393946068952, 0.0096532318970526942, 0.0096531494871109225, 0.0096531290850250494, 0.00965315689813823, 0.0096532220710145479, 0.009653316014272887, 0.0096534318999205362, 0.0096535642784585825, 0.0096537087859575547, 0.0096538619182371978, 0.0096540208555365974, 0.0096541833254855432, 0.0096543474953529156, 0.0096545118868336874, 0.0096546753083031796, 0.0096548368006926181, 0.0096549955940494689, 0.0096551510725248237, 0.0096553027460417849, 0.009655450227285943, 0.0096555932129550534, 0.0096557314684315634, 0.0096558648152171682, 0.0096559931206043823, 0.0096561162891663881, 0.0096562342557296576, 0.0096563469795595477, 0.0096564544395409853, 0.0096565566301776533, 0.0096566535582662642, 0.0096567452401286925, 0.0096568316993062894, 0.0096569129646378263, 0.0096569890686562659, 0.0096570600462512514, 0.0096571259335531401, 0.0096571867670021926, 0.0096572425825726046, 0.009657293415126349, 0.009657339297875954, 0.0096573802619388301, 0.0096574163359688953, 0.0096574475458534054, 0.0096574739144653175, 0.0096574954614630625, 0.0096575122031311075, 0.0096575241522561979, 0.0096575313180351056, 0.0096575337060108117, 0.0096575325121320763, 0.0096575289308788968, 0.0096575229634028349, 0.0096575146116313799, 0.0096575038782803577, 0.0096574907668714634, 0.0096574752817549479, 0.009657457428137825, 0.009657437212117613, 0.0096574146407220306, 0.0096573897219548992, 0.0096573624648485876, 0.009657332879523535, 0.0096573009772551628, 0.0096572667705489539, 0.0096572302732240746, 0.0096571915005064929, 0.0096571504691321652, 0.009657107197461396, 0.0096570617056051956, 0.0096570140155649124, 0.0096569641513863345, 0.0096569121393296833, 0.0096568580080571859, 0.0096568017888399027, 0.0096567435157859597, 0.0096566832260923628, 0.009656620960323041, 0.0096565567627159427, 0.0096564906815224741, 0.0096564227693829979, 0.0096563530837424708, 0.0096562816873110094, 0.0096562086485747402, 0.0096561340423629329, 0.0096560579504783965, 0.0096559804623989887, 0.0096559016760592274, 0.00965582169872224, 0.009655740647953907, 0.009655658652712569, 0.009655575854569937, 0.0096554924090810207, 0.0096554084873237116, 0.0096553242776319208, 0.009655239987549958, 0.0096551558460402989, 0.0096550721059822184, 0.0096549890470050762, 0.0096549069787074393, 0.0096548262443222257, 0.0096547472248985806, 0.0096546703440840934, 0.0096545960736061746, 0.0096545249395700757, 0.0096544575297133964, 0.009654394501784215, 0.0096543365932433393, 0.0096542846325318871, 0.0096542395521955569, 0.0096542024042190026, 0.0096541743780003721, 0.0096541568214920537, 0.0096541512661533976, 0.0096541594565121985, 0.0096541833853225224, 0.0096542253355493858, 0.009654287930721395, 0.0096543741955923256, 0.0096544876295706419, 0.0096546322960513707, 0.0096548129316718027, 0.0096550350806862747, 0.0096553052612203469, 0.0096556311722695558, 0.009656021953163391, 0.0096564885111257524, 0.0096570439379727244, 0.0096577040445516675, 0.0096584880522217354, 0.0096594194959883934, 0.0096605274161167091, 0.0096618479477284074, 0.0096634264667115975, 0.009665320524434879, 0.0096676039184628564, 0.0096703724274118316, 0.0096737520297465896, 0.0096779109077716908, 0.0096830773540210451, 0.0096895671212128501, 0.009697826324861639, 0.0097085008130260424, 0.0097225522959994027, 0.0097414607350236899, 0.0097675940787772947, 0.0098049225765049451, 0.0098604950602008672, 0.0099477532903683649, 0.010094785913164745, 0.010367798414862951, 0.010950279798724094, 0.012469304351114031, 0.017267215258833679, 0.021778939389807368, 0.014803161412296529, 0.011852421561280317, 0.010823296714895927, 0.010374363571941062, 0.010142090526539884, 0.010006855351286603, 0.0099211837525720672, 0.0098633900613523274, 0.0098224655441086044, 0.009792348096656257, 0.0097694777902920665, 0.0097516524227433538, 0.0097374499531492978, 0.0097259184784250392, 0.009716401014297887, 0.0097084320394048313, 0.0097016740746492178, 0.0096958775179035641, 0.0096908544706353975, 0.009686461247228894, 0.0096825864218967935, 0.0096791424946232919, 0.0096760599747046389, 0.0096684741017979779, 0.0096626603280358485, 0.0096580336020304896, 0.0096542507609500734, 0.0096511074542256145, 0.0096484861778663791, 0.0096463295816365605, 0.0096446275339041997, 0.0096434126284171487, 0.0096427617498121131, 0.0096428028281758289, 0.0096437267302447813, 0.0096458045706493412, 0.0096494104465007311, 0.0096550481493961997, 0.0096633765858390244, 0.0096752202989698749, 0.009691535741837301, 0.0097132796024358876, 0.0097411018287460321, 0.0097748023971845083, 0.0098126329252288935, 0.009850858932167722, 0.0098843154009671842, 0.0099083072882824429, 0.0099208238450250539, 0.0099231810695437801, 0.0099186165094794707, 0.0099103687653921014, 0.009900684287407039, 0.0098908023626112489, 0.0098813086277186671, 0.0098724491966404038, 0.0098643122797509742, 0.0098569142071898239, 0.0098502369507324893, 0.0098442448612740176, 0.0098388930402153827, 0.0098341321611388859, 0.0098299115087943471, 0.0098261809314327524, 0.0098228920513183798, 0.0098199989550636999, 0.0098174585266201583, 0.009815230545181873, 0.0098132776376234111, 0.009811565148812075, 0.00981006097280002, 0.0098087353728040973, 0.0098075608070571519, 0.0098065117700773634, 0.0098055646537918446, 0.0098046976295828939, 0.0098038905501867737, 0.009803124869095195, 0.0098023835744269067, 0.0098016511339691654, 0.0098009134481087008, 0.0098001578075893152, 0.0097993728533831842, 0.0097985485363954877, 0.0097976760751994282, 0.0097967479104894024, 0.0097957576554185809, 0.0097947000414338372, 0.0097935708596190996, 0.0097923668978968474, 0.0097910858747096551, 0.0097897263700060261, 0.009788287754488461, 0.0097867701181505416, 0.009785174199140597, 0.0097835013139501749, 0.0097817532898466005, 0.0097799324003590184, 0.0097780413044976349, 0.0097760829902442045, 0.0097740607227072389, 0.0097719779971938269, 0.0097698384973170117, 0.0097676460581373747, 0.0097654046342320472, 0.0097631182724953365, 0.0097607910894030349, 0.0097584272524164628, 0.0097560309651618903, 0.0097536064559939854, 0.0097511579695375612, 0.0097486897607974368, 0.0097462060914305475, 0.0097437112277854784, 0.0097412094403308506, 0.0097387050041141815, 0.009736202199915717, 0.0097337053157862605, 0.0097312186486837385, 0.0097287465059490499, 0.0097262932063880789, 0.0097238630807523208, 0.009721460471436209, 0.0097190897312343493, 0.0097167552210265622, 0.0097144613062832997, 0.0097122123523081094, 0.0097100127181585037, 0.0097078667492104219, 0.0097057787683563195, 0.0097037530658511291, 0.009701793887844895, 0.0096999054236652296, 0.0096980917919371745, 0.0096963570256511818, 0.0096947050563131725, 0.0096931396973319456, 0.0096916646268193525, 0.0096902833699962707, 0.0096889992814131517, 0.0096878155272056669, 0.0096867350676155227, 0.0096857606400108168, 0.0096848947426416299, 0.0096841396193626025, 0.0096834972455460879, 0.0096829693153968281, 0.0096825572308613279, 0.0096822620923041093, 0.009682084691097154, 0.0096820255042400442, 0.0096820649641402561, 0.0096821832614837067, 0.0096823801494803907, 0.0096826552177483177, 0.0096830078937032854, 0.0096834374444801068, 0.00968394297936131, 0.0096845234526827945, 0.0096851776671801545, 0.0096859042777337444, 0.0096867017954655656, 0.0096875685921365608, 0.0096885029047892833, 0.0096895028405773811, 0.0096905663817213137, 0.0096916913905274061, 0.0096928756144068311, 0.0096941166908304822, 0.0096954121521561423, 0.0096967594302658326, 0.0096981558609527865, 0.0096995986880006393, 0.0097010850669005406, 0.0097026120681565162, 0.0097041766801343621, 0.0097057758114153063, 0.009707406292622605, 0.0097090648776970972, 0.0097107482446063664, 0.0097124529954823804, 0.0097141756561932371, 0.009715912675367349, 0.0097176604229020584, 0.0097194151880038229, 0.0097211731768241955, 0.0097229305097742864, 0.0097246832186205848, 0.0097264272434871724, 0.0097281584299130329, 0.0097298725261384441, 0.0097315651808211265, 0.0097332319414104862, 0.0097348682534363993, 0.0097364694609967904, 0.0097380308087552485, 0.0097395474457840948, 0.0097410144316092268, 0.009742426744828149, 0.0097437792946806212, 0.0097450669359493685, 0.0097462844875544664, 0.0097474267551764821, 0.0097484885581976943, 0.0097494647611854248, 0.0097503503100544175, 0.0097511402729352839, 0.0097518298856420372, 0.0097524146014749766, 0.0097528901449171583, 0.0097532525685873998, 0.0097534983126060133, 0.0097536242653186115, 0.0097536278241188573, 0.009753506954923382, 0.0097532602486951059, 0.0097528869732974172, 0.0097523871189049531, 0.0097517614352079455, 0.0097510114587364936, 0.0097501395288031988, 0.0097491487908189615, 0.0097480431860717288, 0.0097468274274617808, 0.0097455069611427046, 0.0097440879145033396, 0.0097425770314174074, 0.0097409815961574126, 0.0097393093477901732, 0.0097375683872187365, 0.0097357670792887867, 0.0097339139525232325, 0.0097320175990786659, 0.0097300865774338687, 0.0097281293201307018, 0.0097261540486073168, 0.0097241686968124671, 0.0097221808448906145, 0.0097201976638058036, 0.0097182258713506692, 0.0097162716995872686, 0.0097143408734063855, 0.0097124385995838274, 0.0097105695654652949, 0.0097087379462284899, 0.0097069474195519232, 0.009705201186460434, 0.0097035019971108, 0.0097018521803188974, 0.0097002536757034973, 0.0096987080674214455, 0.0096972166185861526, 0.0096957803055878616, 0.0096943998516635273, 0.0096930757591906138, 0.0096918083402986726, 0.009690597745502412, 0.0096894439901576059, 0.0096883469786265674, 0.0096873065261118933, 0.0096863223781768499, 0.00968539422801846, 0.0096845217315961948, 0.0096837045207463467, 0.0096829422144313042, 0.0096822344282841803, 0.009681580782615504, 0.0096809809090489876, 0.0096804344559506886, 0.0096799410928094312, 0.0096795005137179212, 0.0096791124400935988, 0.0096787766227667098, 0.0096784928435505457, 0.0096782609163958665, 0.0096780806882179465, 0.009677952039471199, 0.0096778748845327278, 0.0096778491719422891], [0.0098519411332902568, 0.0098519958508934864, 0.009852159936945817, 0.0098524331918423327, 0.0098528152851274486, 0.0098533057588084619, 0.0098539040319639906, 0.0098546094066178178, 0.0098554210748411017, 0.0098563381270395604, 0.0098573595613769723, 0.0098584842942817941, 0.0098597111719807458, 0.0098610389830019601, 0.0098624664715898178, 0.009863992351975286, 0.0098656153234488748, 0.0098673340861883067, 0.0098691473577994845, 0.0098710538905385815, 0.0098730524891932087, 0.0098751420296140369, 0.0098773214779026303, 0.0098795899102794016, 0.0098819465336754397, 0.0098843907071151371, 0.0098869219639835196, 0.0098895400353024351, 0.0098922448741754349, 0.0098950366816020468, 0.0098979159339097674, 0.0099008834121085739, 0.009903940233538619, 0.0099070878862607993, 0.0099103282667343841, 0.0099136637214402683, 0.009917097093246582, 0.0099206317734835472, 0.0099242717609030785, 0.0099280217289569733, 0.0099318871031495604, 0.009935874150623367, 0.0099399900846430817, 0.0099442431872845318, 0.0099486429544505053, 0.0099532002683776957, 0.0099579276041393064, 0.0099628392783800597, 0.009967951750774369, 0.0099732839916480479, 0.0099788579330924027, 0.0099846990260614062, 0.0099908369328514258, 0.0099973063936876043, 0.010004148318846844, 0.01001141117523625, 0.01001915276068769, 0.01002744249352387, 0.010036364393908394, 0.010046021004394667, 0.01005653860139151, 0.010068074205336962, 0.010080825135280394, 0.010095042223635543, 0.010111048395365179, 0.01012926527475422, 0.010150252087868187, 0.010174763896472479, 0.01020384113442651, 0.010238951557264463, 0.010282223388618445, 0.010336844365862942, 0.010407778762691337, 0.010503133046452312, 0.010636948742258843, 0.010835445968769411, 0.011152682891667855, 0.011716425451368554, 0.012896055151123471, 0.016177750314376585, 0.03300110359463039, 0.11184655084918974, 0.02027728723341125, 0.01263656039709681, 0.01097466446439585, 0.010394012938430126, 0.010137287570831873, 0.010006852476515471, 0.0099343067709737817, 0.0098913650249097072, 0.0098648005560403925, 0.0098478458452545409, 0.0098367922295989636, 0.0098294947100078661, 0.0098246576880427483, 0.0098214703062545136, 0.0098194098494987052, 0.0098181308283353912, 0.0098173999558485766, 0.0098170567605699484, 0.0098169890465055112, 0.0098171172255196795, 0.0098173840987630795, 0.0098177480660778232, 0.0098181785381451173, 0.0098186527909053974, 0.0098191537802346102, 0.0098196686055639377, 0.0098201874179663223, 0.0098207026363578333, 0.009821208379641802, 0.0098217000517171055, 0.0098221740356985617, 0.0098226274668332548, 0.0098230580625819543, 0.0098234639945452285, 0.0098238437912480537, 0.0098241962638479282, 0.0098245204489974466, 0.0098248155646413812, 0.0098250809756441019, 0.0098253161669528966, 0.0098255207225940583, 0.0098256943092336641, 0.0098258366633577291, 0.0098259475813680108, 0.0098260269120726291, 0.0098260745511917387, 0.0098260904376092431, 0.0098260879474763516, 0.0098260804749234175, 0.0098260680134971811, 0.009826050552474281, 0.0098260280769106902, 0.009826000567713454, 0.0098259680017375485, 0.0098259303519113283, 0.0098258875873952455, 0.0098258396737796374, 0.0098257865733285855, 0.0098257282452786296, 0.0098256646462027992, 0.0098255957304525729, 0.0098255214506932833, 0.0098254417585510959, 0.0098253566053940131, 0.0098252659432734174, 0.0098251697260585032, 0.0098250679108024559, 0.0098249604593874783, 0.0098248473405058122, 0.0098247285320460787, 0.0098246040239695059, 0.0098244738217793046, 0.0098243379507097391, 0.0098241964607902604, 0.0098240494329764529, 0.0098238969865848246, 0.0098237392883258681, 0.0098235765633022543, 0.009823409108431342, 0.0098232373088691684, 0.0098230616581644493, 0.0098228827830669826, 0.0098227014741690787, 0.0098225187238906789, 0.0098223357737560156, 0.0098221541734875538, 0.009821975855214448, 0.0098218032271276418, 0.0098216392923159007, 0.0098214878004302675, 0.0098213534424601828, 0.0098212421025693792, 0.0098211611860878692, 0.0098211200500674389, 0.0098211305733124556, 0.0098212079180804782, 0.0098213715581848514, 0.0098216466819565189, 0.0098220661297943167, 0.009822673105334483, 0.0098235250242534773, 0.0098246990657969869, 0.0098263003230545064, 0.0098284740064566011, 0.0098314241240668853, 0.0098354427972474259, 0.0098409575877506962, 0.0098486104221672983, 0.0098593942467306885, 0.0098749002784412551, 0.0098977893347806795, 0.0099327487508581013, 0.0099885919220191188, 0.010083339418855813, 0.010258196271563302, 0.010623353901046432, 0.011551535532765431, 0.01489599200459874, 0.035743994056010815, 0.029139937977967222, 0.014896860635595355, 0.012077283893232179, 0.011126871363751177, 0.010694206037427281, 0.010459581880540912, 0.010317117502032102, 0.010223527388384644, 0.010158388778565293, 0.010111011027781664, 0.010075339084685137, 0.010047724616799729, 0.010025857047194517, 0.010008211740186408, 0.0099937474979661777, 0.0099817322130592943, 0.0099716380326204251, 0.0099630759863815355, 0.0099557539165319574, 0.00994944864480545, 0.009943987103241278, 0.0099392332602690099, 0.0099350788833724463, 0.0099314368960580993, 0.0099282365229427447, 0.0099254196887994823, 0.0099229383109036146, 0.0099207522369500409, 0.0099188276557006065, 0.0099171358580416036, 0.0099156522607669138, 0.0099143556295098398, 0.0099132274542695648, 0.0099122514431691858, 0.0099114131089315331, 0.0099106994290693393, 0.0099100985656363823, 0.0099095996340390555, 0.0099091925131820149, 0.0099088676913318165, 0.0099086161436753653, 0.0099084292387222328, 0.0099082986715135889, 0.009908216422096881, 0.009908174737934131, 0.0099081661388581571, 0.0099081834429054511, 0.0099082198108776543, 0.0099082688068690764, 0.0099083244713160257, 0.0099083814024578387, 0.0099084348415409002, 0.0099084807567358761, 0.009908515920653959, 0.0099085379765947862, 0.0099085454892591743, 0.0099085379765947827, 0.0099085159206539573, 0.0099084807567358778, 0.0099084348415408967, 0.009908381402457837, 0.0099083244713160171, 0.0099082688068690764, 0.009908219810877656, 0.0099081834429054546, 0.0099081661388581606, 0.0099081747379341292, 0.0099082164220968758, 0.0099082986715135889, 0.0099084292387222345, 0.0099086161436753653, 0.0099088676913318182, 0.0099091925131820132, 0.0099095996340390468, 0.0099100985656363858, 0.0099106994290693428, 0.0099114131089315261, 0.009912251443169184, 0.0099132274542695648, 0.009914355629509838, 0.0099156522607669155, 0.0099171358580416053, 0.0099188276557006082, 0.0099207522369500409, 0.0099229383109036128, 0.0099254196887994858, 0.0099282365229427464, 0.0099314368960580959, 0.0099350788833724446, 0.0099392332602690134, 0.0099439871032412797, 0.0099494486448054413, 0.0099557539165319453, 0.0099630759863815407, 0.0099716380326204321, 0.0099817322130592873, 0.0099937474979661742, 0.010008211740186398, 0.010025857047194529, 0.010047724616799739, 0.010075339084685124, 0.01011101102778165, 0.010158388778565276, 0.010223527388384692, 0.010317117502031917, 0.010459581880540797, 0.010694206037427292, 0.011126871363749843, 0.012077283893230623, 0.014896860635589128, 0.029139937977919254, 0.035743994056024714, 0.014895992004604073, 0.011551535532766787, 0.010623353901047048, 0.010258196271563541, 0.010083339418855964, 0.0099885919220191292, 0.0099327487508581776, 0.0098977893347807003, 0.0098749002784412482, 0.0098593942467306885, 0.0098486104221673018, 0.0098409575877506893, 0.0098354427972474241, 0.0098314241240668836, 0.0098284740064565942, 0.0098263003230545029, 0.0098246990657969852, 0.0098235250242534773, 0.0098226731053344882, 0.0098220661297943167, 0.0098216466819565206, 0.0098213715581848514, 0.0098212079180804782, 0.0098211305733124556, 0.0098211200500674407, 0.0098211611860878692, 0.0098212421025693775, 0.0098213534424601793, 0.0098214878004302675, 0.0098216392923159025, 0.0098218032271276418, 0.0098219758552144463, 0.0098221541734875521, 0.0098223357737560156, 0.0098225187238906789, 0.0098227014741690769, 0.0098228827830669826, 0.009823061658164451, 0.0098232373088691736, 0.0098234091084313455, 0.0098235765633022509, 0.0098237392883258681, 0.0098238969865848211, 0.0098240494329764512, 0.0098241964607902639, 0.0098243379507097408, 0.0098244738217793046, 0.0098246040239695041, 0.0098247285320460787, 0.0098248473405058139, 0.0098249604593874766, 0.0098250679108024524, 0.0098251697260585032, 0.0098252659432734191, 0.0098253566053940131, 0.0098254417585510907, 0.0098255214506932833, 0.0098255957304525764, 0.0098256646462027992, 0.0098257282452786313, 0.0098257865733285838, 0.0098258396737796339, 0.0098258875873952472, 0.0098259303519113265, 0.0098259680017375485, 0.0098260005677134523, 0.0098260280769106867, 0.0098260505524742827, 0.0098260680134971811, 0.0098260804749234175, 0.0098260879474763516, 0.0098260904376092362, 0.0098260891926610014, 0.0098260854581573021, 0.0098260792351234343, 0.0098260705252757076, 0.0098260593310327549, 0.0098260456555314696, 0.0098260295026476943, 0.0098260108770218749, 0.0098259897840897708, 0.0098259662301185928, 0.0098259402222487437, 0.0098259117685415426, 0.0098258808780333218, 0.0098258475607962848, 0.0098258118280067017, 0.0098257736920209018, 0.009825733166459804, 0.0098256902663026082, 0.009825645007990538, 0.0098255974095414218, 0.0098255474906762813, 0.0098254952729589125, 0.0098254407799498334, 0.0098253840373759768, 0.0098253250733177696, 0.0098252639184153549, 0.0098252006060960406, 0.0098251351728251887, 0.0098250676583831568, 0.0098249981061711445, 0.0098249265635492345, 0.0098248530822102696, 0.0098247777185937642, 0.0098247005343445309, 0.0098246215968213792, 0.009824540979661938, 0.0098244587634105426, 0.0098243750362170066, 0.0098242898946152551, 0.0098242034443921655, 0.0098241158015581996, 0.0098240270934335273, 0.0098239374598649704, 0.0098238470545917427, 0.0098237560467805667, 0.0098236646227540646, 0.0098235729879400727, 0.0098234813690740632, 0.0098233900166921264, 0.0098232992079582797, 0.009823209249877396, 0.0098231204829537459, 0.0098230332853661353, 0.009822948077743093, 0.0098228653286370551, 0.0098227855608150807, 0.0098227093585060935, 0.0098226373757717717, 0.0098225703462019743, 0.0098225090941759137, 0.0098224545479809171, 0.0098224077551424711, 0.009822369900396196, 0.0098223423268284284, 0.0098223265608320502, 0.0098223243416755163, 0.0098223376566741287, 0.0098223687831960182, 0.0098224203390464022, 0.0098224953431745032, 0.009822597289166379, 0.0098227302346637797, 0.0098228989107381551, 0.0098231088564249471, 0.0098233665851919193, 0.0098236797922245378, 0.0098240576142731954, 0.0098245109577262419, 0.009825052915994217, 0.0098256993048706758, 0.009826469355254646, 0.0098273866179658699, 0.0098284801576446878, 0.0098297861454791965, 0.0098313500094295014, 0.0098332293749358209, 0.0098354981440333632, 0.00983825224209001, 0.009841617853584202, 0.0098457634506311942, 0.009850917735226717, 0.0098573970422021259, 0.0098656483210310727, 0.0098763186249335166, 0.0098903714210223665, 0.0099092892492474594, 0.0099354438469166292, 0.0099728109442339535, 0.010028446813614764, 0.010115801014675076, 0.010262958824447419, 0.010536047902961278, 0.011118039096875844, 0.012632613107643822, 0.017405470772556244, 0.022002552140821478, 0.015033534331160588, 0.012047507214746893, 0.011005404547244258, 0.010551012927713051, 0.010316002853039916, 0.010179204585607799, 0.010092551990285309, 0.010034097818046438, 0.0099927039921330098, 0.0099622386108791754, 0.0099391013778769178, 0.0099210653990769015, 0.0099066928187650921, 0.0098950212080969394, 0.0098853863465017573, 0.0098773175984811674, 0.0098704737839447609, 0.0098646025671878627, 0.0098595139947731045, 0.0098550628127969785, 0.0098511363830407189, 0.0098476462580194685, 0.009839157647622266, 0.0098327512724285127, 0.0098277153795812769, 0.0098236384412580466, 0.0098202768927114232, 0.0098174895861164197, 0.0098152042955002416, 0.0098134011433522288, 0.0098121060256536659, 0.0098113908790284157, 0.00981137951387215, 0.0098122587199461833, 0.0098142947617528026, 0.0098178551429064578, 0.0098234341307886011, 0.0098316768786801869, 0.009843389098984915, 0.0098595045561102879, 0.0098809603222037214, 0.0099084087599915546, 0.0099417116012566909, 0.0099792911449753698, 0.010017712147243044, 0.010052146604369814, 0.010078045942006973, 0.010093154056355202, 0.010098225226320605, 0.010095943696421257, 0.010089263547773305, 0.010080431702004247, 0.010070843273287592, 0.010061271046752918, 0.010052116887790246, 0.010043578238121647, 0.010035740458431999, 0.010028625829991894, 0.010022220404180214, 0.010016489628331664, 0.010011387897157926, 0.010006864515989089, 0.010002867400887263, 0.0099993453068135552, 0.0099962490952025546, 0.0099935323835284896, 0.0099911518079324087, 0.0099890670534554093, 0.0099872407535768794, 0.0099856383245260256, 0.0099842277752841997, 0.0099829795177689903, 0.009981866190844112, 0.0099808625047416374, 0.0099799451079795095, 0.0099790924760653852, 0.009978284819633778, 0.0099775040087884161, 0.0099767335100650785, 0.0099759583324229191, 0.0099751649788990919, 0.0099743414009417532, 0.0099734769529110801, 0.0099725623447620287, 0.0099715895914610029, 0.0099705519582124636, 0.0099694439010597716, 0.0099682610028581017, 0.0099669999049857034, 0.0099656582354542798, 0.0099642345342978462, 0.0099627281772625125, 0.0099611392988926042, 0.0099594687161181743, 0.0099577178534049245, 0.0099558886704405186, 0.0099539835932117553, 0.0099520054491862939, 0.0099499574071597111, 0.0099478429221730412, 0.0099456656857542288, 0.009943429581594939, 0.0099411386466460843, 0.0099387970375039297, 0.0099364090018647429, 0.0099339788547505806, 0.0099315109591506523, 0.009929009710681367, 0.0099264795258413047, 0.0099239248334234229, 0.0099213500686440772, 0.0099187596695542082, 0.0099161580753114442, 0.0099135497259100532, 0.0099109390629884657, 0.0099083305313590175, 0.0099057285809315554, 0.0099031376687301765, 0.0099005622607303018, 0.0098980068332715238, 0.0098954758738287723, 0.0098929738809517779, 0.0098905053632092586, 0.0098880748370002852, 0.009885686823121298, 0.009883345842002433, 0.0098810564075526505, 0.009878823019578124, 0.009876650154764112, 0.0098745422562358416, 0.0098725037217395738, 0.0098705388905101499, 0.009868652028916949, 0.0098668473150041631, 0.0098651288220654373, 0.0098635005014152382, 0.0098619661645400949, 0.0098605294648314596, 0.0098591938791180028, 0.0098579626892277335, 0.0098568389638199663, 0.0098558255407320116, 0.0098549250100863489, 0.0098541396984004812, 0.0098534716539326796, 0.0098529226334839407, 0.0098524940908578194, 0.0098521871671578432, 0.0098520026830753275, 0.0098519411332902568, 0.0098519821685452095, 0.0098521051888446724, 0.009852309938085042, 0.0098525959903983246, 0.0098529627515963579, 0.0098534094611671726, 0.0098539351947984563, 0.0098545388673962203, 0.0098552192365608492, 0.0098559749064765848, 0.0098568043321656008, 0.0098577058240528464, 0.0098586775527841689, 0.0098597175542366085, 0.0098608237346574316, 0.0098619938758662453, 0.0098632256404539639, 0.0098645165769114546, 0.0098658641246216205, 0.0098672656186497322, 0.0098687182942687329, 0.0098702192911593635, 0.0098717656572282399, 0.0098733543519918237, 0.0098749822494793565, 0.009876646140614018, 0.0098783427350388267, 0.009880068662362065, 0.0098818204728057784, 0.0098835946372519221, 0.0098853875466917637, 0.0098871955110974609, 0.0098890147577492434, 0.0098908414290673364, 0.0098926715800158986, 0.0098945011751655331, 0.0098963260855223969, 0.0098981420852551835, 0.0098999448484762588, 0.0099017299462601724, 0.0099034928441107707, 0.0099052289001177168, 0.009906933364072907, 0.0099086013778470379, 0.0099102279773550812, 0.0099118080964655571, 0.0099133365732305793, 0.0099148081588302205, 0.0099162175296332433, 0.0099175593027747179, 0.009918828055636545, 0.0099200183495870009, 0.0099211247582871327, 0.0099221419008028548, 0.0099230644796693569, 0.0099238873239377596, 0.0099246054370920461, 0.0099252140495575888, 0.0099257086753336173, 0.0099260851720745832, 0.0099263398037255576, 0.0099264693045930351, 0.0099264709435152483, 0.0099263425865973188, 0.0099260827568101624, 0.0099256906886323118, 0.0099251663758545723, 0.0099245106106812774, 0.0099237250123584593, 0.0099228120437443602, 0.0099217750145121717, 0.0099206180700325726, 0.0099193461654144555, 0.0099179650246666966, 0.0099164810854604091, 0.009914901430491993, 0.0099132337069439344, 0.0099114860359834963, 0.0099096669146040602, 0.0099077851123767612, 0.009905849565828807, 0.009903869273190152, 0.0099018531921553146, 0.0098998101431001951, 0.0098977487198917066, 0.0098956772100520542, 0.0098936035256147383, 0.0098915351455617934, 0.0098894790702859624, 0.0098874417881007412, 0.0098854292534431062, 0.0098834468760919583, 0.0098814995204684741, 0.0098795915138961896, 0.0098777266625772256, 0.0098759082739826639, 0.0098741391843523516, 0.0098724217900428134, 0.0098707580815426289, 0.0098691496790819476, 0.0098675978688878754, 0.0098661036392719767, 0.0098646677158727835, 0.0098632905955096557, 0.009861972578229879, 0.0098607137972458979, 0.0098595142465619026, 0.0098583738061776109, 0.009857292264832191, 0.0098562693403130321, 0.0098553046974032069, 0.0098543979635795295, 0.0098535487426008664, 0.0098527566261456135, 0.0098520212036687597, 0.0098513420706547103, 0.009850718835442104, 0.0098501511247936248, 0.0098496385883767249, 0.0098491809023121598, 0.0098487777719360112, 0.0098484289339089183, 0.0098481341577926138, 0.0098478932472006401, 0.0098477060406155902, 0.0098475724119512081, 0.0098474922709234115, 0.0098474655632798391], [0.010016363952087364, 0.010016420802895467, 0.010016591286471414, 0.010016875196968044, 0.010017272193628709, 0.010017781804254194, 0.010018403430024863, 0.010019136351647424, 0.010019979736788061, 0.010020932648747056, 0.010021994056324677, 0.010023162844823458, 0.010024437828129167, 0.010025817761811405, 0.010027301357184725, 0.010028887296272932, 0.010030574247623032, 0.010032360882920735, 0.010034245894366588, 0.010036228012781687, 0.010038306026423206, 0.010040478800504193, 0.010042745297427986, 0.010045104597767149, 0.010047555922038329, 0.010050098653349854, 0.010052732361028046, 0.010055456825361445, 0.010058272063640942, 0.010061178357718923, 0.010064176283362399, 0.010067266741737677, 0.010070450993436331, 0.010073730695539839, 0.010077107942324613, 0.010080585310335871, 0.010084165908712365, 0.010087853435832865, 0.010091652243587788, 0.01009556741086721, 0.010099604828216157, 0.010103771296058328, 0.01010807463945709, 0.010112523843101892, 0.010117129211124733, 0.010121902557524889, 0.010126857434492485, 0.010132009407880624, 0.010137376391630863, 0.010142979056310069, 0.01014884133134929, 0.010154991026478833, 0.010161460605781752, 0.010168288158528799, 0.010175518625652137, 0.010183205361029613, 0.010191412135159847, 0.010200215729035849, 0.010209709323767094, 0.01022000697562073, 0.010231249590692677, 0.010243613001064666, 0.010257319032490275, 0.010272650905600603, 0.010289975037812708, 0.010309772506502569, 0.010332685453511939, 0.010359587236854153, 0.01039169151076131, 0.010430727410726551, 0.01047923164326746, 0.010541057325459053, 0.010622307762087068, 0.010733161062993393, 0.01089172225569717, 0.011132992571765164, 0.011532616340456089, 0.012281930102374073, 0.013996413607649865, 0.019685031832871829, 0.064418082421339812, 0.048657311927018262, 0.015885117076597014, 0.011935461692793982, 0.010855647685760663, 0.010436096254365533, 0.010239209120426316, 0.010135413686478884, 0.01007628432437983, 0.010040733904872916, 0.010018530346483617, 0.010004292068585606, 0.0099950070229321286, 0.0099889042215885512, 0.0099849000171153782, 0.0099823092066496644, 0.0099806864751706883, 0.0099797356032781965, 0.0099792555751406307, 0.0099791075903749322, 0.0099791943289527386, 0.0099794466145063654, 0.0099798146621669671, 0.0099802622327621326, 0.009980762666917619, 0.0099812961569695213, 0.0099818478469017972, 0.0099824064940579691, 0.0099829635168381357, 0.0099835123106361383, 0.0099840477521231062, 0.0099845658370307823, 0.0099850634133841539, 0.0099855379835319339, 0.0099859875561444274, 0.0099864105347684771, 0.009986805633318864, 0.0099871718115581778, 0.0099875082255159228, 0.0099878141891566446, 0.009988089144585854, 0.009988332638792792, 0.0099885443054472389, 0.0099887238506486745, 0.0099888710418079684, 0.0099889856990528648, 0.0099890676887074443, 0.0099891169185182902, 0.0099891333343959787, 0.0099891307490505114, 0.0099891229905841906, 0.009989110051714243, 0.0099890919203262409, 0.0099890685795105804, 0.0099890400076157616, 0.0099890061783209499, 0.009988967060730854, 0.0099889226194970621, 0.0099888728149708939, 0.009988817603394002, 0.0099887569371343576, 0.0099886907649769166, 0.0099886190324800783, 0.0099885416824115458, 0.0099884586552797562, 0.0099883698899805064, 0.0099882753245823554, 0.0099881748972793019, 0.0099880685475451578, 0.0099879562175311121, 0.0099878378537571876, 0.0099877134091586241, 0.0099875828455620892, 0.0099874461366827195, 0.0099873032717537318, 0.0099871542599256104, 0.0099869991356036445, 0.0099868379649325715, 0.0099866708536869471, 0.0099864979568893026, 0.0099863194905585265, 0.0099861357460933765, 0.0099859471079273825, 0.0099857540752607745, 0.0099855572888941924, 0.0099853575644748317, 0.0099851559338399766, 0.0099849536966370861, 0.0099847524850558474, 0.0099845543453855427, 0.0099843618412946873, 0.0099841781853383191, 0.0099840074074032201, 0.0099838545718511588, 0.0099837260593810453, 0.0099836299356448593, 0.0099835764372373185, 0.0099835786180819414, 0.0099836532173875111, 0.0099838218372865044, 0.0099841125588512429, 0.0099845621873386504, 0.0099852194144184666, 0.0099861493391978622, 0.0099874400400793983, 0.0099892123056270748, 0.0099916343430465904, 0.0099949445316861625, 0.0099994875572609054, 0.010005773538135025, 0.010014578162115959, 0.010027119206802352, 0.010045382728234995, 0.010072760746725824, 0.010115386326539804, 0.010185177500200289, 0.010307577509483769, 0.010544309005092962, 0.011075311531455297, 0.012598836542967135, 0.019493392360713173, 0.050097871460251735, 0.020425115703195485, 0.013530554296443254, 0.011784072291948352, 0.011101969705295613, 0.010764397603342253, 0.010571380747370192, 0.01044983253015107, 0.01036783795020645, 0.010309610886131838, 0.01026658895699668, 0.010233786186543413, 0.010208130769196789, 0.010187641377532287, 0.010170990501654927, 0.010157259728067402, 0.010145796040066607, 0.010136124019801105, 0.010127890337420987, 0.010120827591523275, 0.010114730128949284, 0.010109437494649607, 0.010104822865864407, 0.010100784816690156, 0.01009724135355824, 0.010094125527845244, 0.010091382162161475, 0.010088965375069743, 0.010086836686235376, 0.010084963548980998, 0.010083318201359664, 0.010081876757320319, 0.01008061848087208, 0.010079525201307811, 0.010078580838458478, 0.010077771014909771, 0.010077082737991325, 0.010076504138737044, 0.010076024258318286, 0.010075632874944916, 0.010075320366101712, 0.010075077602367248, 0.010074895870033584, 0.01007476682036796, 0.010074682443673932, 0.010074635066355669, 0.010074617369002323, 0.010074622423134477, 0.010074643743746012, 0.010074675354201063, 0.010074711859484083, 0.010074748523336773, 0.010074781344529105, 0.010074807127475011, 0.010074823542663775, 0.010074829172955341, 0.010074823542663775, 0.01007480712747501, 0.010074781344529106, 0.010074748523336771, 0.010074711859484079, 0.010074675354201056, 0.01007464374374601, 0.010074622423134477, 0.010074617369002326, 0.010074635066355671, 0.010074682443673931, 0.010074766820367955, 0.010074895870033579, 0.010075077602367246, 0.010075320366101714, 0.010075632874944913, 0.010076024258318283, 0.010076504138737032, 0.010077082737991327, 0.010077771014909774, 0.010078580838458476, 0.010079525201307811, 0.010080618480872083, 0.010081876757320325, 0.010083318201359664, 0.010084963548981, 0.010086836686235383, 0.010088965375069743, 0.010091382162161468, 0.010094125527845247, 0.010097241353558243, 0.010100784816690156, 0.010104822865864413, 0.010109437494649614, 0.010114730128949286, 0.010120827591523263, 0.010127890337420975, 0.01013612401980111, 0.01014579604006661, 0.010157259728067396, 0.010170990501654924, 0.010187641377532274, 0.010208130769196806, 0.010233786186543423, 0.010266588956996666, 0.010309610886131819, 0.010367837950206429, 0.010449832530151124, 0.010571380747369959, 0.01076439760334209, 0.011101969705295627, 0.011784072291946104, 0.013530554296440084, 0.020425115703177874, 0.050097871460247648, 0.019493392360717222, 0.012598836542969149, 0.011075311531455974, 0.010544309005093346, 0.010307577509483927, 0.0101851775002004, 0.010115386326539811, 0.010072760746725883, 0.010045382728235009, 0.010027119206802345, 0.010014578162115957, 0.010005773538135029, 0.0099994875572608985, 0.0099949445316861573, 0.0099916343430465886, 0.009989212305627073, 0.0099874400400793949, 0.0099861493391978622, 0.0099852194144184683, 0.0099845621873386557, 0.0099841125588512446, 0.0099838218372865026, 0.0099836532173875111, 0.0099835786180819362, 0.009983576437237322, 0.0099836299356448627, 0.0099837260593810453, 0.0099838545718511553, 0.0099840074074032184, 0.0099841781853383226, 0.0099843618412946856, 0.0099845543453855445, 0.0099847524850558474, 0.0099849536966370861, 0.0099851559338399783, 0.0099853575644748317, 0.0099855572888941924, 0.0099857540752607728, 0.0099859471079273877, 0.0099861357460933799, 0.0099863194905585283, 0.0099864979568893009, 0.0099866708536869471, 0.009986837964932568, 0.0099869991356036393, 0.0099871542599256121, 0.0099873032717537336, 0.0099874461366827143, 0.0099875828455620857, 0.0099877134091586224, 0.0099878378537571859, 0.0099879562175311121, 0.0099880685475451543, 0.0099881748972793054, 0.0099882753245823606, 0.0099883698899805081, 0.0099884586552797562, 0.0099885416824115458, 0.0099886190324800818, 0.0099886907649769149, 0.0099887569371343594, 0.0099888176033940002, 0.0099888728149708939, 0.0099889226194970621, 0.0099889670607308557, 0.0099890061783209534, 0.0099890400076157616, 0.0099890685795105735, 0.0099890919203262409, 0.0099891100517142447, 0.0099891229905841959, 0.0099891307490505114, 0.0099891333343959752, 0.0099891320418498235, 0.0099891281645151549, 0.009989121703305421, 0.0099891126597498516, 0.0099891010360037835, 0.0099890868348631832, 0.0099890700597835471, 0.0099890507149032436, 0.0099890288050715498, 0.0099890043358815683, 0.0099889773137082846, 0.009988947745752012, 0.009988915640087713, 0.0099888810057203788, 0.0099888438526471047, 0.00998880419192626, 0.0099887620357543647, 0.0099887173975512743, 0.0099886702920544534, 0.0099886207354230854, 0.009988568745353003, 0.0099885143412033282, 0.0099884575441361277, 0.0099883983772702158, 0.009988336865850626, 0.0099882730374353159, 0.0099882069221008916, 0.0099881385526694698, 0.0099880679649588175, 0.009987995198058432, 0.0099879202946344132, 0.0099878433012663796, 0.0099877642688201099, 0.0099876832528600756, 0.0099876003141065456, 0.0099875155189426412, 0.0099874289399773698, 0.009987340656671553, 0.0099872507560345124, 0.009987159333400485, 0.0099870664932949962, 0.0099869723504030037, 0.0099868770306522428, 0.0099867806724272951, 0.0099866834279322692, 0.0099865854647227144, 0.0099864869674305898, 0.009986388139710093, 0.0099862892064363704, 0.0099861904161946975, 0.0099860920441038892, 0.0099859943950251946, 0.0099858978072168546, 0.009985802656505189, 0.009985709361055823, 0.0099856183868441365, 0.0099855302539424689, 0.0099854455437642584, 0.0099853649074325285, 0.0099852890754736773, 0.0099852188690781902, 0.0099851552132205236, 0.0099850991519922078, 0.0099850518665796605, 0.0099850146964139339, 0.0099849891641402653, 0.0099849770052065495, 0.0099849802030615147, 0.0099850010311970765, 0.0099850421035814121, 0.0099851064354303781, 0.0099851975167853067, 0.0099853194020431916, 0.0099854768194761259, 0.0099856753059552675, 0.0099859213736664641, 0.0099862227177183235, 0.0099865884764109049, 0.0099870295598605673, 0.0099875590681086316, 0.0099881928274366226, 0.0099889500843510712, 0.0099898544120762857, 0.0099909349066949656, 0.0099922277828849732, 0.0099937785282107599, 0.0099956448493627188, 0.0099979007588440992, 0.010000642332142288, 0.010003995957971912, 0.010008130386956656, 0.010013274702037439, 0.010019745760719111, 0.010027991231120761, 0.010038659153792467, 0.010052714342188679, 0.010071641130498233, 0.010097813502940423, 0.010135209511651729, 0.010190886015390187, 0.010278284321643244, 0.010425444725981881, 0.010698293407406408, 0.011278841743672774, 0.012785415440649131, 0.017519474193437766, 0.022223972780277521, 0.015270875451892731, 0.01224166212652362, 0.011183966706793846, 0.010723158357849554, 0.010484990177913095, 0.010346416398316105, 0.010258664310393188, 0.010199478462627049, 0.010157570106848021, 0.010126726839402944, 0.010103302212413167, 0.010085041322595951, 0.010070488500625668, 0.010058669537238871, 0.010048912160332834, 0.010040740074857796, 0.010033808025688233, 0.010027860681630807, 0.010022705847761895, 0.010018196567136787, 0.01001421889079677, 0.010004668598061045, 0.0099975819978323482, 0.0099920870055183793, 0.009987687702724183, 0.0099840931484428304, 0.0099811342211685028, 0.0099787215166787686, 0.0099768242839768824, 0.0099754613609496588, 0.0099746999656480442, 0.009974660568731513, 0.0099755272778142869, 0.009977563680721703, 0.0099811339162330995, 0.0099867274198087563, 0.0099949822856837157, 0.010006694667922459, 0.010022787764903604, 0.010044193069354763, 0.010071577305328995, 0.010104864097954851, 0.010142618504784793, 0.010181633740572411, 0.010217313787615097, 0.010245166997860444, 0.010262680367805288, 0.010270122533014485, 0.01026973155954842, 0.010264255253480502, 0.010255973914804355, 0.010246440777846472, 0.010236605660070643, 0.010227014081899482, 0.010217962439895683, 0.010209597310675077, 0.010201975554921633, 0.010195100745112942, 0.010188945602631207, 0.010183465957350819, 0.010178609411101623, 0.010174320630345776, 0.010170544483549662, 0.010167227809220716, 0.01016432032693851, 0.01016177502463707, 0.010159548237169542, 0.010157599553192927, 0.010155891636215247, 0.010154390012264558, 0.010153062855032048, 0.010151880785474864, 0.010150816694063215, 0.010149845588359751, 0.010148944465277648, 0.010148092205429294, 0.010147269485965392, 0.010146458707899309, 0.010145643933908282, 0.010144810832862805, 0.010143946627765269, 0.010143040044309888, 0.01014208125785899, 0.01014106183722656, 0.01013997468423692, 0.010138813968562567, 0.010137575057819101, 0.010136254443297108, 0.010134849662030411, 0.010133359216136732, 0.010131782490520503, 0.010130119670104808, 0.010128371657768328, 0.010126539994113571, 0.010124626780097391, 0.010122634603424462, 0.010120566469451971, 0.010118425737188621, 0.010116216060803814, 0.010113941336900229, 0.010111605657651523, 0.010109213269770684, 0.010106768539156728, 0.010104275920968481, 0.010101739934795689, 0.010099165144537318, 0.010096556142555045, 0.010093917537642827, 0.010091253946341137, 0.010088569987122625, 0.010085870276984276, 0.010083159429996616, 0.01008044205738119, 0.010077722768712948, 0.010075006173871534, 0.010072296885394776, 0.010069599520917901, 0.010066918705411718, 0.010064259072963376, 0.01006162526787239, 0.010059021944863345, 0.010056453768245013, 0.010053925409872905, 0.010051441545799469, 0.010049006851522817, 0.010046625995771585, 0.010044303632789686, 0.010042044393111616, 0.010039852872845164, 0.010037733621505188, 0.01003569112846813, 0.01003372980814363, 0.010031853983984597, 0.010030067871481991, 0.01002837556031403, 0.010026780995840909, 0.010025287960155666, 0.010023900052918408, 0.010022620672214275, 0.010021452995685579, 0.010020399962193397, 0.010019464254265266, 0.010018648281581293, 0.010017954165742221, 0.010017383726549199, 0.010016938470005553, 0.010016619578228208, 0.010016427901428065, 0.010016363952087364, 0.01001640658711554, 0.010016534403599583, 0.010016747136041877, 0.010017044342954997, 0.010017425408361286, 0.01001788954386559, 0.010018435791275001, 0.010019063025732385, 0.010019769959324075, 0.010020555145116064, 0.010021416981567468, 0.010022353717265295, 0.010023363455920338, 0.010024444161560436, 0.010025593663854884, 0.010026809663501382, 0.010028089737606303, 0.010029431344988203, 0.010030831831335154, 0.010032288434147921, 0.010033798287402682, 0.010035358425870387, 0.010036965789033181, 0.010038617224543434, 0.010040309491175955, 0.010042039261230876, 0.010043803122351787, 0.01004559757873256, 0.010047419051695497, 0.010049263879634757, 0.010051128317330691, 0.010053008534654706, 0.010054900614699302, 0.010056800551384642, 0.010058704246611835, 0.010060607507053735, 0.010062506040696259, 0.010064395453268102, 0.01006627124472307, 0.01006812880596754, 0.010069963416055492, 0.010071770240104709, 0.010073544328219448, 0.010075280615736296, 0.010076973925140563, 0.010078618970028231, 0.010080210361512342, 0.010081742617490412, 0.010083210175198877, 0.01008460740747933, 0.010085928643166283, 0.010087168191974735, 0.010088320374215228, 0.010089379555590812, 0.01009034018723305, 0.010091196851010505, 0.01009194430999239, 0.010092577563773606, 0.010093091908166384, 0.010093482998543709, 0.010093746915886211, 0.010093880234346698, 0.010093880088915841, 0.010093744241561805, 0.010093471144040625, 0.010093059995447726, 0.010092510792519528, 0.010091824370710351, 0.010091002434174431, 0.010090047572981698, 0.010088963266189448, 0.01008775386977429, 0.010086424588887399, 0.010084981434411918, 0.010083431164349366, 0.010081781211113975, 0.010080039596338358, 0.010078214835260862, 0.010076315833146421, 0.010074351776466236, 0.010072332021712425, 0.010070265984743903, 0.010068163033452428, 0.010066032386312417, 0.010063883019052826, 0.010061723581287546, 0.010059562324488508, 0.010057407042211208, 0.010055265023011515, 0.010053143016049638, 0.010051047208980595, 0.010048983217394841, 0.010046956084805918, 0.01004497029198822, 0.010043029774344701, 0.010041137945927597, 0.010039297728736508, 0.010037511585967761, 0.010035781557977025, 0.010034109299832575, 0.010032496119470108, 0.010030943015602641, 0.010029450714683514, 0.010028019706360898, 0.010026650276994174, 0.010025342540922787, 0.010024096469285051, 0.010022911916276718, 0.010021788642816942, 0.01002072633765334, 0.010019724635988488, 0.010018783135749146, 0.010017901411648055, 0.010017079027207401, 0.010016315544924678, 0.010015610534766956, 0.010014963581179457, 0.010014374288790161, 0.01001384228698491, 0.010013367233517286, 0.010012948817306079, 0.010012586760560089, 0.010012280820355927, 0.01001203078978042, 0.010011836498734059, 0.010011697814477241, 0.010011614641986129, 0.01001158692416986], [0.010180875428428892, 0.010180934433931426, 0.010181111379537236, 0.010181406053270519, 0.010181818104265591, 0.010182347046391375, 0.010182992263292978, 0.010183753014818865, 0.010184628444794029, 0.010185617590092887, 0.010186719390960124, 0.010187932702523035, 0.010189256307436065, 0.01019068892959704, 0.01019222924887476, 0.010193875916789647, 0.010195627573093479, 0.010197482863200068, 0.010199440456426748, 0.010201499065017215, 0.010203657463928406, 0.010205914511379649, 0.010208269170179566, 0.010210720529867269, 0.010213267829727949, 0.010215910482770353, 0.01021864810078571, 0.010221480520643591, 0.010224407832022896, 0.01022743040682538, 0.010230548930576185, 0.010233764436184647, 0.010237078340518159, 0.010240492484338767, 0.010244009176267383, 0.010247631241581047, 0.010251362076819015, 0.010255205711383414, 0.010259166877578881, 0.010263251090856532, 0.010267464742429224, 0.010271815206928245, 0.010276310968407677, 0.010280961768809502, 0.010285778784032484, 0.010290774834069899, 0.010295964635387516, 0.010301365105929881, 0.010306995736040242, 0.010312879042392755, 0.010319041127091203, 0.01032551237084366, 0.010332328298225977, 0.01033953066542757, 0.01034716883788034, 0.010355301548788897, 0.010363999162766705, 0.010373346616020618, 0.010383447272711612, 0.010394428037056095, 0.010406446209657194, 0.010419698802536299, 0.01043443537708276, 0.01045097602227118, 0.010469736986308896, 0.010491267964227488, 0.010516307593288442, 0.010545868216477738, 0.010581369245964152, 0.0106248542834433, 0.010679358925142575, 0.010749563644924843, 0.010843019228162557, 0.010972608342929638, 0.011161925747597898, 0.011458381696640537, 0.011970072614286797, 0.012993008793876415, 0.015612681402861889, 0.026710991936753768, 0.13423235601734085, 0.026519858109501381, 0.01385061584834223, 0.011557987381557626, 0.010819433522562432, 0.010507616465220164, 0.01035397111792522, 0.010270430103901319, 0.010221871130395459, 0.010192297999649958, 0.010173691050362548, 0.01016172714120543, 0.010153940226637344, 0.010148858642737429, 0.010145571284107275, 0.010143496694316644, 0.010142254223817844, 0.01014158922902972, 0.01014132815584737, 0.010141350776895961, 0.010141572597834589, 0.010141933463764324, 0.01014239003993697, 0.010142910766293995, 0.010143472421982887, 0.010144057755457044, 0.010144653830469048, 0.010145250859469317, 0.010145841372821042, 0.01014641962187717, 0.010146981146502726, 0.010147522459256242, 0.010148040813006345, 0.010148534028676348, 0.010149000366632613, 0.010149438429971708, 0.010149847091280854, 0.010150225436789692, 0.010150572723497776, 0.010150888346055159, 0.010151171811032344, 0.010151422716838771, 0.010151640738002938, 0.010151825612860203, 0.010151977133940589, 0.010152095140532287, 0.010152179513034664, 0.010152230168820404, 0.010152247059408967, 0.010152244386662481, 0.010152236365744721, 0.010152222988625484, 0.010152204241936982, 0.01015218010699869, 0.010152150559854065, 0.010152115571321334, 0.010152075107060983, 0.010152029127663593, 0.010151977588762443, 0.010151920441176401, 0.010151857631089754, 0.010151789100277267, 0.010151714786384099, 0.010151634623272747, 0.010151548541451162, 0.010151456468599409, 0.010151358330215717, 0.010151254050407066, 0.010151143552854762, 0.010151026761991698, 0.010150903604436103, 0.010150774010735782, 0.010150637917489012, 0.010150495269922592, 0.010150346025025661, 0.010150190155360249, 0.010150027653697534, 0.010149858538663592, 0.010149682861622468, 0.010149500715079692, 0.010149312242959561, 0.010149117653198883, 0.010148917233214002, 0.010148711368944798, 0.010148500568369028, 0.010148285490626749, 0.010148066982216691, 0.010147846122149907, 0.010147624278506691, 0.010147403179589912, 0.010147185003871087, 0.010146972494283271, 0.010146769104267126, 0.010146579185526255, 0.010146408230991135, 0.010146263191463403, 0.010146152891466982, 0.010146088579956367, 0.010146084666241893, 0.010146159713150894, 0.010146337791797676, 0.010146650351426563, 0.010147138833552354, 0.010147858378725323, 0.010148883165323417, 0.010150314233230422, 0.010152291172312837, 0.010155009966427139, 0.010158750906662543, 0.010163923480918425, 0.010171140888095401, 0.010181348340556026, 0.010196053642625037, 0.010217763123457745, 0.010250857668328988, 0.010303490061511419, 0.010392100352552908, 0.010553560687182134, 0.010883735669703184, 0.011692903813121209, 0.014413297590099195, 0.030467386313783377, 0.036818476527308297, 0.016480950813786057, 0.012790181111432817, 0.011630984444717975, 0.011122743804374001, 0.010853284194712043, 0.010692072386741856, 0.010587256815351028, 0.01051485578340176, 0.01046249736913857, 0.01042325159106487, 0.01039297911138826, 0.01036907661679729, 0.010349836073250266, 0.01033409653486515, 0.010321044920779851, 0.010310096955330582, 0.010300823314538732, 0.010292902312088814, 0.01028608871991793, 0.01028019270289398, 0.010275065267579313, 0.010270588008811128, 0.010266665753752768, 0.010263221197701414, 0.010260190933372331, 0.010257522470833143, 0.010255171972109015, 0.010253102508372972, 0.010251282704096162, 0.010249685671153834, 0.010248288162704837, 0.010247069895562145, 0.010246013003271699, 0.010245101591886945, 0.010244321377583517, 0.010243659390557464, 0.010243103733607543, 0.010242643386768635, 0.010242268051581191, 0.010241968030216897, 0.010241734135845547, 0.01024155763140302, 0.010241430194362551, 0.01024134390526928, 0.010241291257716223, 0.010241265187168417, 0.010241259115636669, 0.010241267008731207, 0.010241283441161392, 0.010241303666369748, 0.010241323685771115, 0.010241340313075178, 0.010241351229445464, 0.010241355025807459, 0.010241351229445464, 0.010241340313075178, 0.010241323685771121, 0.010241303666369748, 0.010241283441161392, 0.010241267008731198, 0.010241259115636668, 0.010241265187168417, 0.010241291257716226, 0.010241343905269278, 0.01024143019436255, 0.010241557631403015, 0.010241734135845545, 0.010241968030216902, 0.010242268051581195, 0.010242643386768635, 0.010243103733607541, 0.010243659390557457, 0.010244321377583519, 0.010245101591886947, 0.010246013003271697, 0.010247069895562146, 0.010248288162704833, 0.010249685671153832, 0.010251282704096166, 0.010253102508372977, 0.010255171972109017, 0.010257522470833138, 0.010260190933372326, 0.010263221197701421, 0.010266665753752773, 0.010270588008811128, 0.010275065267579316, 0.010280192702893985, 0.010286088719917935, 0.010292902312088801, 0.01030082331453872, 0.010310096955330585, 0.010321044920779857, 0.010334096534865138, 0.010349836073250259, 0.01036907661679728, 0.010392979111388277, 0.010423251591064877, 0.010462497369138556, 0.010514855783401738, 0.010587256815350998, 0.010692072386741925, 0.010853284194711729, 0.011122743804373756, 0.011630984444717971, 0.0127901811114288, 0.016480950813778587, 0.03681847652725808, 0.030467386313838479, 0.014413297590100897, 0.011692903813122171, 0.010883735669703585, 0.01055356068718238, 0.010392100352553016, 0.010303490061511498, 0.010250857668328993, 0.010217763123457785, 0.01019605364262505, 0.010181348340556026, 0.010171140888095403, 0.010163923480918427, 0.010158750906662541, 0.010155009966427138, 0.010152291172312835, 0.01015031423323042, 0.010148883165323414, 0.010147858378725323, 0.010147138833552357, 0.01014665035142657, 0.01014633779179768, 0.010146159713150894, 0.010146084666241895, 0.010146088579956365, 0.010146152891466986, 0.010146263191463407, 0.010146408230991133, 0.010146579185526255, 0.010146769104267126, 0.010146972494283275, 0.010147185003871087, 0.010147403179589915, 0.010147624278506693, 0.010147846122149905, 0.010148066982216694, 0.010148285490626749, 0.010148500568369028, 0.010148711368944794, 0.010148917233214001, 0.010149117653198883, 0.010149312242959563, 0.010149500715079689, 0.010149682861622466, 0.010149858538663585, 0.010150027653697531, 0.010150190155360251, 0.010150346025025661, 0.010150495269922592, 0.010150637917489012, 0.01015077401073578, 0.010150903604436099, 0.010151026761991698, 0.010151143552854756, 0.010151254050407068, 0.01015135833021572, 0.010151456468599409, 0.010151548541451162, 0.010151634623272751, 0.010151714786384099, 0.010151789100277267, 0.010151857631089759, 0.010151920441176398, 0.010151977588762443, 0.010152029127663593, 0.010152075107060983, 0.010152115571321332, 0.010152150559854065, 0.010152180106998686, 0.010152204241936986, 0.010152222988625488, 0.010152236365744723, 0.010152244386662481, 0.010152247059408965, 0.010152245723169924, 0.010152241714723982, 0.010152235034886582, 0.010152225685023032, 0.010152213667057926, 0.010152198983488446, 0.010152181637401576, 0.010152161632495483, 0.010152138973105098, 0.010152113664232187, 0.01015208571158008, 0.010152055121593369, 0.010152021901502868, 0.010151986059376169, 0.010151947604174261, 0.010151906545814554, 0.010151862895240983, 0.010151816664501578, 0.010151767866834322, 0.010151716516761897, 0.010151662630196227, 0.010151606224553663, 0.010151547318881807, 0.010151485933999274, 0.010151422092649468, 0.0101513558196699, 0.010151287142178722, 0.010151216089780155, 0.010151142694790904, 0.010151066992489834, 0.010150989021393476, 0.010150908823560217, 0.010150826444926438, 0.01015074193567831, 0.010150655350663375, 0.010150566749846606, 0.010150476198816346, 0.010150383769346084, 0.010150289540019094, 0.010150193596923719, 0.010150096034428256, 0.010149996956045793, 0.010149896475400651, 0.010149794717309996, 0.010149691818996106, 0.010149587931447143, 0.010149483220947147, 0.010149377870799052, 0.010149272083268483, 0.010149166081780486, 0.010149060113406811, 0.01014895445168737, 0.01014884939983743, 0.01014874529440055, 0.010148642509418406, 0.010148541461201033, 0.010148442613796802, 0.010148346485279729, 0.010148253654994607, 0.01014816477192744, 0.010148080564402515, 0.010148001851348116, 0.010147929555423454, 0.010147864718361562, 0.010147808518960183, 0.010147762294248869, 0.010147727564481181, 0.010147706062752488, 0.010147699770235831, 0.010147710958272644, 0.010147742238867396, 0.010147796625537548, 0.010147877606991148, 0.010147989236783995, 0.010148136243000368, 0.010148324163182393, 0.010148559511307382, 0.010148849985729916, 0.010149204729877997, 0.010149634661426101, 0.010150152891109196, 0.01015077525994819, 0.010151521034413424, 0.01015241381444915, 0.010153482731611275, 0.010154764047416961, 0.010156303311063524, 0.010158158310172511, 0.010160403163398035, 0.010163134085361663, 0.01016647764699634, 0.010170602837151932, 0.010175739048970171, 0.010182203540405877, 0.01019044448736716, 0.01020111055053729, 0.010215167238266399, 0.010234099491120962, 0.010260281292862957, 0.010297688557074938, 0.010353369314176845, 0.010440735108891836, 0.010587726756409026, 0.010859910624127514, 0.011437786965238264, 0.012931942919228249, 0.017610609540213804, 0.022448382975962182, 0.015523698940284922, 0.012441468781436158, 0.011364953299560145, 0.010896563544488251, 0.010654732752506208, 0.010514132260234763, 0.01042514225419577, 0.01036514253690215, 0.010322668052127665, 0.010291413132057892, 0.010267678333878335, 0.010249176847629885, 0.010234432857971725, 0.01022245892055753, 0.010212573772444852, 0.010204294834425091, 0.010197272350556391, 0.010191247697806294, 0.010186026229942488, 0.010181459136408871, 0.010170648295346866, 0.010162774413395775, 0.010156760364874222, 0.010152005130354034, 0.010148160063989511, 0.010145022664443792, 0.010142483479677677, 0.010140499443077461, 0.010139081789736375, 0.010138293130805156, 0.01013825128835516, 0.010139138994754909, 0.010141219218799569, 0.010144855780937437, 0.010150537669839425, 0.010158902091458803, 0.010170744040826742, 0.010186986887631387, 0.010208568583157232, 0.01023617978310515, 0.010269804510054376, 0.010308124292703294, 0.010348098001362814, 0.010385270543848933, 0.010415129582710767, 0.010434892625195652, 0.010444404203341313, 0.010445547134777924, 0.01044093340847152, 0.010432910283180084, 0.010423195624736873, 0.010412910235796579, 0.010402733898456459, 0.010393053142510898, 0.010384068596865954, 0.010375866188506676, 0.010368462843266315, 0.010361835413309149, 0.010355938782529847, 0.010350717032130594, 0.01034611018028248, 0.010342058122465064, 0.010338502822326729, 0.010335389427166818, 0.010332666737748998, 0.010330287303875469, 0.010328207315183425, 0.010326386391292165, 0.010324787333797103, 0.010323375876230927, 0.010322120451519336, 0.010320991986122893, 0.010319963723718333, 0.010319011077490092, 0.010318111507958416, 0.010317244422179808, 0.010316391089747145, 0.010315534571050618, 0.010314659653579826, 0.010313752792546423, 0.010312802052710568, 0.010311797048949353, 0.010310728883768905, 0.010309590080600841, 0.010308374512313924, 0.010307077324892123, 0.010305694856668922, 0.01030422455385592, 0.010302664883359867, 0.010301015244048044, 0.010299275877703759, 0.010297447780921737, 0.010295532619137846, 0.010293532643883057, 0.010291450614209928, 0.010289289723074546, 0.010287053529279076, 0.010284745895400016, 0.0102823709319533, 0.010279932947885713, 0.010277436407337665, 0.010274885892497426, 0.010272286072263595, 0.010269641676350047, 0.010266957474405985, 0.010264238259680715, 0.010261488836736384, 0.010258714012700683, 0.01025591859155163, 0.010253107370937228, 0.010250285141050659, 0.010247456685105377, 0.010244626780982338, 0.010241800203651863, 0.010238981728004581, 0.010236176131758321, 0.010233388198140176, 0.010230622718075138, 0.010227884491643798, 0.010225178328602159, 0.010222509047786314, 0.010219881475253698, 0.010217300441040959, 0.010214770774446512, 0.010212297297773702, 0.01020988481849773, 0.010207538119847502, 0.010205261949820832, 0.010203061008679138, 0.010200939934995015, 0.010198903290353447, 0.010196955542833735, 0.010195101049424782, 0.010193344037550874, 0.01019168858590733, 0.01019013860482551, 0.01018869781640425, 0.010187369734658077, 0.010186157645943342, 0.010185064589928256, 0.010184093341374332, 0.0101832463929922, 0.010182525939625526, 0.010181933864002611, 0.01018147172427478, 0.01018114074353714, 0.010180941801497777, 0.010180875428428892, 0.010180919679344714, 0.01018105234035189, 0.01018127313654464, 0.010181581610792892, 0.010181977125297653, 0.010182458863740737, 0.010183025834001588, 0.010183676871406509, 0.010184410642469029, 0.010185225649073723, 0.01018612023305009, 0.010187092581078128, 0.010188140729862785, 0.010189262571510784, 0.010190455859040758, 0.010191718211955051, 0.010193047121800927, 0.010194439957648052, 0.010195893971409777, 0.010197406302937076, 0.010198973984815998, 0.010200593946802736, 0.010202263019834051, 0.010203977939555946, 0.010205735349318915, 0.010207531802594963, 0.010209363764779367, 0.010211227614348948, 0.010213119643358616, 0.01021503605726942, 0.010216972974113791, 0.010218926423018138, 0.010220892342118809, 0.010222866575924833, 0.010224844872200855, 0.010226822878464988, 0.010228796138220126, 0.01023076008706314, 0.010232710048844332, 0.010234641232079435, 0.010236548726848078, 0.010238427502445713, 0.010240272406089509, 0.010242078163012347, 0.010243839378311456, 0.010245550540947883, 0.010247206030318532, 0.010248800125841558, 0.010250327020006347, 0.010251780835338235, 0.010253155645712777, 0.010254445502421321, 0.010255644465336368, 0.010256746639448066, 0.01025774621693999, 0.010258637524841619, 0.010259415078135103, 0.01026007363800663, 0.010260608274719543, 0.01026101443435278, 0.010261288008400362, 0.010261425404975551, 0.01026142362011871, 0.010261280307484522, 0.010260993844498079, 0.01026056339293613, 0.01025998895182607, 0.010259271400574078, 0.010258412530347202, 0.010257415061947387, 0.010256282648729473, 0.010255019863523023, 0.010253632169006412, 0.010252125871529918, 0.010250508058966051, 0.0102487865237499, 0.010246969672825937, 0.010245066426709045, 0.010243086110266652, 0.010241038338112704, 0.01023893289765671, 0.010236779632865225, 0.010234588331672302, 0.010232368619730021, 0.010230129862840519, 0.01022788107998132, 0.010225630868354903, 0.010223387341390654, 0.010221158080130405, 0.010218950097962854, 0.010216769818257011, 0.010214623064094387, 0.01021251505902368, 0.010210450437562173, 0.010208433264043722, 0.010206467058358277, 0.010204554827133939, 0.010202699098968603, 0.010200901962414452, 0.010199165105542331, 0.010197489856055585, 0.010195877221074005, 0.010194327925861056, 0.010192842450915339, 0.01019142106698547, 0.010190063867693387, 0.010188770799562482, 0.010187541689343004, 0.01018637626860784, 0.010185274195657932, 0.010184235074828791, 0.010183258473329539, 0.010182343935774779, 0.01018149099658926, 0.010180699190476577, 0.010179968061148334, 0.010179297168509339, 0.010178686094489854, 0.010178134447707836, 0.010177641867133205, 0.010177208024914133, 0.010176832628511233, 0.010176515422271016, 0.010176256188554987, 0.010176054748525055, 0.010175910962670301, 0.010175824731144902, 0.010175795993970968], [0.010361059117834186, 0.0103611204033999, 0.010361304187050131, 0.010361610250407398, 0.010362038232048483, 0.010362587631296287, 0.010363257813494559, 0.010364048016733006, 0.010364957359981856, 0.010365984852588139, 0.010367129405080279, 0.010368389841222975, 0.010369764911261396, 0.010371253306292794, 0.010372853673703922, 0.010374564633615109, 0.010376384796276557, 0.010378312780368973, 0.010380347232169317, 0.010382486845553989, 0.010384730382825174, 0.010387076696362704, 0.010389524751122682, 0.010392073648026854, 0.010394722648312409, 0.010397471198941749, 0.010400318959206451, 0.010403265828699319, 0.010406311976874767, 0.010409457874471877, 0.010412704327137342, 0.010416052511660745, 0.01041950401532301, 0.01042306087896518, 0.010426725644512802, 0.01043050140784659, 0.010434391878099445, 0.010438401444693254, 0.01044253525371714, 0.010446799295606763, 0.010451200506533006, 0.010455746886471544, 0.010460447637637676, 0.010465313327876993, 0.010470356084761111, 0.010475589827628147, 0.010481030546735442, 0.010486696641202452, 0.010492609330711408, 0.01049879316027523, 0.010505276623156224, 0.010512092934759484, 0.010519281000794051, 0.010526886637287304, 0.010534964119755135, 0.010543578166334605, 0.010552806498523868, 0.010562743178749582, 0.010573503004661866, 0.010585227359037512, 0.010598092092666558, 0.010612318290419854, 0.010628187196297397, 0.010646061252221209, 0.01066641431551597, 0.010689875985485259, 0.010717298200813102, 0.010749858060992872, 0.010789221613713667, 0.010837814355127427, 0.01089928722567049, 0.010979360481882337, 0.011087446354165049, 0.011240007358550923, 0.01146818027182322, 0.011837294970876436, 0.012505726732034046, 0.013950017009183038, 0.018231300536248701, 0.043999464295983677, 0.085607781794035206, 0.018841546013375794, 0.012820434184975442, 0.011377538833159007, 0.010852142550644933, 0.010615116819537062, 0.010493533265994469, 0.010425702791073419, 0.010385617776404987, 0.01036095927162844, 0.010345369731395914, 0.010335345774529667, 0.010328854660087299, 0.010324667057832315, 0.01032201390775046, 0.010320400386928882, 0.010319500512253315, 0.010319095166195488, 0.010319034483038269, 0.010319214391035701, 0.010319561635532454, 0.010320024020094777, 0.010320563933738671, 0.010321153990386122, 0.010321774050697877, 0.01032240916312795, 0.010323048124889503, 0.010323682466240458, 0.010324305727082424, 0.010324912937436115, 0.010325500241399945, 0.010326064622920621, 0.010326603704355215, 0.01032711559744451, 0.010327598792277437, 0.010328052073973037, 0.01032847445971532, 0.010328865150831002, 0.010329223496061714, 0.010329548963227925, 0.01032984111723438, 0.010330099602911503, 0.010330324131583584, 0.010330514470544424, 0.010330670434834962, 0.010330791880875965, 0.010330878701627836, 0.010330930823040258, 0.010330948201624807, 0.010330945439347466, 0.010330937149593857, 0.010330923323601807, 0.010330903946776325, 0.010330878998703543, 0.010330848453171811, 0.010330812278201977, 0.010330770436089109, 0.010330722883458824, 0.010330669571342131, 0.010330610445273515, 0.010330545445418234, 0.010330474506735918, 0.010330397559189046, 0.010330314528006951, 0.010330225334017736, 0.010330129894063482, 0.010330028121516979, 0.010329919926922306, 0.010329805218785935, 0.010329683904550883, 0.010329555891793362, 0.010329421089689639, 0.010329279410811541, 0.010329130773321567, 0.010328975103654794, 0.010328812339794125, 0.010328642435270366, 0.010328465364048987, 0.010328281126504168, 0.010328089756729142, 0.010327891331493137, 0.010327685981233381, 0.010327473903569718, 0.010327255379957368, 0.010327030796257301, 0.010326800668217034, 0.010326565673132138, 0.010326326689322471, 0.010326084845537729, 0.010325841583044186, 0.010325598733997765, 0.0103253586208582, 0.010325124183160861, 0.010324899140102695, 0.010324688200357098, 0.010324497334662418, 0.010324334132553264, 0.010324208272909944, 0.010324132149987475, 0.010324121714104441, 0.010324197612131008, 0.010324386751959803, 0.010324724474822881, 0.010325257612159586, 0.010326048850971071, 0.010327183070060631, 0.010328776704869289, 0.010330991871038956, 0.010334058153921645, 0.010338307099129069, 0.01034422842819112, 0.01035256479701083, 0.010364477883288939, 0.01038185316597753, 0.010407890664496088, 0.010448328517079377, 0.010514194675141475, 0.010628679073837362, 0.010846844969257578, 0.011324137464500384, 0.01263306773355212, 0.018069545981720038, 0.050375072868142426, 0.02411075899171258, 0.014583783277432144, 0.012394729048576114, 0.011582389234905593, 0.011191699982977752, 0.010972269934781344, 0.010835746525980294, 0.010744439569239594, 0.010680013237560557, 0.010632644341488215, 0.010596666959162001, 0.010568616607585809, 0.010546272263070174, 0.010528153253428558, 0.010513239466278594, 0.010500808113825633, 0.010490334543462661, 0.010481429818099535, 0.010473800220905377, 0.01046722027147109, 0.010461514314085122, 0.010456543686339002, 0.010452197604943229, 0.010448386579340182, 0.010445037576637169, 0.010442090420611949, 0.010439495073854117, 0.010437209560943499, 0.010435198363104562, 0.010433431163945009, 0.010431881859743749, 0.0104305277714159, 0.010429349012050599, 0.010428327975958754, 0.010427448923920333, 0.010426697645751742, 0.010426061186081637, 0.010425527622774882, 0.010425085890089064, 0.010424725640598004, 0.010424437141318696, 0.01042421120043646, 0.010424039121614208, 0.010423912683156051, 0.010423824139327917, 0.010423766240973962, 0.010423732272266048, 0.010423716100051834, 0.01042371223189581, 0.010423715878611163, 0.010423723016927523, 0.010423730447989275, 0.010423735847669858, 0.010423737805234316, 0.010423735847669853, 0.010423730447989275, 0.010423723016927528, 0.010423715878611163, 0.010423712231895808, 0.010423716100051829, 0.010423732272266048, 0.010423766240973966, 0.010423824139327919, 0.010423912683156055, 0.010424039121614208, 0.010424211200436451, 0.010424437141318693, 0.010424725640598006, 0.010425085890089064, 0.010425527622774882, 0.010426061186081637, 0.010426697645751735, 0.010427448923920338, 0.010428327975958761, 0.010429349012050594, 0.010430527771415898, 0.010431881859743752, 0.01043343116394501, 0.010435198363104569, 0.010437209560943499, 0.010439495073854119, 0.010442090420611947, 0.010445037576637166, 0.010448386579340186, 0.010452197604943233, 0.010456543686339, 0.010461514314085124, 0.010467220271471095, 0.010473800220905379, 0.010481429818099524, 0.01049033454346265, 0.010500808113825637, 0.010513239466278603, 0.010528153253428547, 0.010546272263070165, 0.010568616607585797, 0.010596666959162022, 0.010632644341488227, 0.010680013237560536, 0.010744439569239568, 0.010835746525980254, 0.010972269934781445, 0.011191699982977334, 0.01158238923490524, 0.012394729048576077, 0.014583783277423778, 0.024110758991690347, 0.050375072868182838, 0.018069545981736546, 0.012633067733552879, 0.011324137464500944, 0.010846844969257837, 0.010628679073837534, 0.010514194675141555, 0.010448328517079435, 0.010407890664496091, 0.010381853165977567, 0.010364477883288953, 0.01035256479701083, 0.01034422842819112, 0.010338307099129073, 0.010334058153921639, 0.01033099187103895, 0.010328776704869289, 0.010327183070060629, 0.010326048850971069, 0.010325257612159584, 0.010324724474822885, 0.010324386751959803, 0.010324197612131009, 0.010324121714104441, 0.010324132149987474, 0.010324208272909939, 0.01032433413255327, 0.010324497334662421, 0.010324688200357098, 0.010324899140102695, 0.01032512418316086, 0.010325358620858201, 0.010325598733997765, 0.010325841583044188, 0.010326084845537728, 0.010326326689322464, 0.010326565673132138, 0.010326800668217034, 0.010327030796257299, 0.010327255379957368, 0.010327473903569723, 0.010327685981233381, 0.010327891331493141, 0.010328089756729138, 0.01032828112650417, 0.01032846536404898, 0.010328642435270366, 0.010328812339794127, 0.010328975103654792, 0.010329130773321565, 0.010329279410811538, 0.010329421089689638, 0.01032955589179336, 0.010329683904550885, 0.010329805218785933, 0.01032991992692231, 0.010330028121516982, 0.010330129894063482, 0.010330225334017736, 0.010330314528006949, 0.010330397559189047, 0.010330474506735915, 0.010330545445418235, 0.010330610445273513, 0.010330669571342127, 0.010330722883458824, 0.010330770436089107, 0.010330812278201975, 0.010330848453171811, 0.010330878998703542, 0.010330903946776326, 0.010330923323601806, 0.01033093714959386, 0.010330945439347464, 0.0103309482016248, 0.010330946820627936, 0.01033094267787827, 0.010330935774100313, 0.010330926110507276, 0.010330913688809696, 0.010330898511227576, 0.010330880580506113, 0.010330859899935218, 0.010330836473372922, 0.010330810305272761, 0.010330781400715574, 0.010330749765445646, 0.010330715405911814, 0.010330678329313536, 0.01033063854365255, 0.010330596057790331, 0.010330550881511975, 0.010330503025596858, 0.010330452501896854, 0.010330399323422525, 0.010330343504438276, 0.01033028506056707, 0.010330224008905729, 0.010330160368151833, 0.010330094158743364, 0.010330025403012318, 0.010329954125353806, 0.010329880352412208, 0.010329804113286167, 0.010329725439754476, 0.010329644366525156, 0.010329560931510221, 0.010329475176129064, 0.010329387145643732, 0.01032929688952971, 0.010329204461886423, 0.010329109921892128, 0.010329013334308542, 0.010328914770041287, 0.010328814306763041, 0.01032871202960723, 0.010328608031941265, 0.010328502416229589, 0.010328395294998257, 0.010328286791914571, 0.010328177042997287, 0.010328066197975239, 0.010327954421815101, 0.010327841896442095, 0.010327728822681426, 0.010327615422452651, 0.010327501941254475, 0.010327388650983878, 0.010327275853140907, 0.010327163882479428, 0.01032705311117478, 0.010326943953592266, 0.010326836871755509, 0.010326732381632842, 0.010326631060381871, 0.010326533554720341, 0.010326440590624571, 0.010326352984597879, 0.010326271656801935, 0.010326197646406202, 0.010326132129588108, 0.010326076440712867, 0.010326032097342737, 0.010326000829877259, 0.010325984616818523, 0.010325985726899783, 0.010326006769628885, 0.01032605075620063, 0.010326121173253966, 0.010326222072630299, 0.010326358181182852, 0.01032653503586913, 0.010326759150935118, 0.01032703822611979, 0.010327381407684062, 0.010327799618006166, 0.010328305974931642, 0.010328916329679014, 0.010329649962866358, 0.010330530493628934, 0.010331587079137927, 0.010332856014685079, 0.010334382893561348, 0.010336225560446268, 0.010338458207165498, 0.010341177141179931, 0.010344509049512757, 0.010348623062962189, 0.01035374874171479, 0.010360203526271329, 0.010368435759808997, 0.01037909417490443, 0.010393144061437796, 0.010412069383112083, 0.010438241247703794, 0.010475627908109566, 0.010531257217451823, 0.010618485584266311, 0.010765091211222247, 0.011036100172738364, 0.011609883011426177, 0.01308666968176256, 0.017691778722883418, 0.022692523238497631, 0.015812454560453465, 0.012664473716525607, 0.011564870257312884, 0.011087326287099594, 0.010841133114951416, 0.010698146103835293, 0.010607712400824044, 0.010546771362467776, 0.010503646833870789, 0.010471922301947274, 0.010447835746975288, 0.010429062899859063, 0.010414104414982549, 0.010401957461194752, 0.010391930366935991, 0.01038353330583075, 0.010376411349777969, 0.010370302105359948, 0.010365008127393405, 0.010352669515934573, 0.010343863084578768, 0.010337245532681085, 0.010332083141225327, 0.010327956020908479, 0.010324621251613991, 0.010321945569665179, 0.01031987163011641, 0.01031840220397021, 0.010317595212124116, 0.010317566405530101, 0.01031849839771728, 0.010320655602944259, 0.010324404634868429, 0.010330238546636434, 0.010338800013812252, 0.010350891512598912, 0.010367447608035669, 0.010389425117506321, 0.010417548874836599, 0.010451863468491328, 0.01049114457339701, 0.010532461308404146, 0.010571417587254337, 0.010603407002286333, 0.010625357223882682, 0.010636732376223233, 0.01063913387564957, 0.010635100376474881, 0.01062708050659596, 0.010616968251664416, 0.010606054724826468, 0.010595148798867639, 0.010584721205305105, 0.010575021309880252, 0.01056615973432755, 0.010558163280962903, 0.010551010199974429, 0.010544652285531843, 0.010539028411556595, 0.010534072613494757, 0.010529718750530919, 0.010525903057282153, 0.010522565416536157, 0.010519649875679899, 0.010517104731913031, 0.010514882386051628, 0.010512939085769439, 0.010511234629632568, 0.010509732072431246, 0.010508397453210527, 0.010507199555692298, 0.010506109703721138, 0.010505101590232001, 0.010504151135950089, 0.010503236372915106, 0.010502337347548595, 0.010501436038084493, 0.010500516281585324, 0.010499563706354234, 0.010498565666245657, 0.010497511174117052, 0.010496390832406336, 0.010495196759529403, 0.010493922511443866, 0.010492562998297291, 0.010491114396558462, 0.010489574057410109, 0.010487940412459313, 0.010486212878000807, 0.010484391759155578, 0.01048247815521398, 0.010480473867450905, 0.010478381310565945, 0.01047620342874723, 0.010473943617178667, 0.010471605649617917, 0.01046919361247938, 0.010466711845669554, 0.010464164890249969, 0.010461557442849203, 0.010458894316613574, 0.010456180408377355, 0.010453420671647678, 0.010450620094935312, 0.010447783684919418, 0.010444916453908352, 0.010442023411048763, 0.010439109556737798, 0.010436179879706044, 0.010433239356260065, 0.010430292951199686, 0.010427345619956434, 0.010424402311532518, 0.010421467971854708, 0.010418547547192424, 0.010415645987324253, 0.010412768248171505, 0.010409919293650607, 0.010407104096528485, 0.010404327638096587, 0.010401594906509529, 0.01039891089366435, 0.010396280590525362, 0.010393708980828968, 0.010391201033131073, 0.010388761691188788, 0.010386395862696723, 0.010384108406426616, 0.010381904117847679, 0.01037978771333329, 0.010377763813086957, 0.010375836922947194, 0.010374011415256257, 0.010372291509000858, 0.010370681249453888, 0.010369184487564399, 0.010367804859357004, 0.010366545765613008, 0.010365410352110646, 0.010364401490703315, 0.010363521761510111, 0.010362773436483242, 0.010362158464602018, 0.010361678458922122, 0.010361334685683975, 0.01036112805565346, 0.010361059117834186, 0.010361105078655843, 0.01036124286607131, 0.010361472195259142, 0.010361792592602743, 0.010362203397304525, 0.010362703763616758, 0.0103632926636606, 0.010363968890797184, 0.010364731063507651, 0.010365577629732359, 0.010366506871613664, 0.010367516910581104, 0.01036860571271373, 0.010369771094309912, 0.010371010727592613, 0.010372322146475306, 0.010373702752313087, 0.010375149819562468, 0.010376660501274247, 0.010378231834344977, 0.010379860744454735, 0.010381544050622287, 0.01038327846931238, 0.010385060618035317, 0.010386887018384668, 0.010388754098466034, 0.010390658194677785, 0.010392595552814155, 0.010394562328471127, 0.010396554586747847, 0.010398568301249075, 0.010400599352409536, 0.010402643525177497, 0.010404696506113266, 0.010406753879979269, 0.010408811125920809, 0.010410863613361734, 0.010412906597766522, 0.01041493521644978, 0.010416944484645935, 0.010418929292085211, 0.010420884400357319, 0.010422804441379527, 0.01042468391732205, 0.010426517202377708, 0.010428298546794891, 0.010430022083620085, 0.010431681838616787, 0.010433271743839094, 0.010434785655337623, 0.010436217375459439, 0.010437560680169197, 0.010438809351762455, 0.010439957217260692, 0.010440998192668366, 0.010441926333133669, 0.010442735888885194, 0.010443421366617913, 0.010443977595775374, 0.010444399798926978, 0.010444683665175831, 0.010444825425264802, 0.010444821926788861, 0.010444670707684692, 0.010444370065971528, 0.010443919123576761, 0.010443317882013506, 0.010442567267699378, 0.010441669164828422, 0.010440626433937042, 0.010439442914641276, 0.010438123411457979, 0.010436673662143639, 0.010435100288567877, 0.010433410730756267, 0.010431613165356443, 0.010429716410366519, 0.010427729818482095, 0.01042566316183609, 0.010423526511199887, 0.010421330112868608, 0.010419084266460462, 0.010416799206724172, 0.010414484992181472, 0.010412151403055332, 0.010409807850474993, 0.010407463298437194, 0.010405126199469907, 0.010402804444420034, 0.010400505326296227, 0.010398235517662922, 0.010396001060716189, 0.010393807368886001, 0.010391659238604353, 0.010389560869753501, 0.010387515893255608, 0.010385527404276677, 0.010383597999580729, 0.010381729817675113, 0.010379924580520802, 0.010378183635733604, 0.010376507998362388, 0.010374898391491565, 0.010373355285070563, 0.010371878932518027, 0.01037046940478026, 0.010369126621639432, 0.010367850380167012, 0.010366640380301799, 0.010365496247599817, 0.010364417553257656, 0.010363403831551295, 0.010362454594862125, 0.010361569346481705, 0.010360747591397683, 0.010359988845268325, 0.010359292641791706, 0.010358658538670257, 0.010358086122362595, 0.010357575011803193, 0.010357124861256941, 0.010356735362461532, 0.010356406246194744, 0.010356137283388085, 0.010355928285891935, 0.010355779106980875, 0.010355689641671861, 0.010355659826911405], [0.010585910494822633, 0.010585974401551542, 0.010586166046175075, 0.010586485202804887, 0.010586931497626066, 0.01058750441287796, 0.010588203292392242, 0.010589027348654405, 0.010589975671346409, 0.010591047237320924, 0.010592240921952082, 0.010593555511802719, 0.010594989718545353, 0.010596542194073327, 0.010598211546738987, 0.010599996358658787, 0.010601895204030289, 0.010603906668413324, 0.010606029368937063, 0.010608261975407278, 0.010610603232302717, 0.010613051981667549, 0.010615607186927433, 0.010618267957681478, 0.010621033575550384, 0.01062390352119357, 0.010626877502646142, 0.010629955485169783, 0.010633137722862666, 0.010636424792332802, 0.010639817628808518, 0.010643317565142875, 0.010646926374266168, 0.010650646315758874, 0.010654480187359041, 0.010658431382391021, 0.010662503954313193, 0.010666702689842203, 0.010671033192433161, 0.010675501978295332, 0.010680116587625181, 0.010684885714370382, 0.010689819358639149, 0.010694929006889186, 0.010700227846337115, 0.01070573102171324, 0.010711455944669995, 0.010717422669002144, 0.010723654348581252, 0.01073017779986294, 0.010737024197436634, 0.010744229939979861, 0.010751837736049546, 0.010759897975687022, 0.010768470476732949, 0.010777626726867686, 0.010787452787972919, 0.010798053094983875, 0.010809555477149244, 0.010822117871706295, 0.010835937414598696, 0.010851262923345909, 0.010868412306920016, 0.01088779727406429, 0.010909959092935463, 0.010935621501856624, 0.010965770986602801, 0.011001782119534885, 0.011045619813281088, 0.011100178415460933, 0.011169876334151453, 0.011261755966890923, 0.011387654236753827, 0.011568842474468528, 0.011847007292250173, 0.012313975093417072, 0.013208712243952425, 0.015336811041028723, 0.023016067647756294, 0.095217464466463217, 0.038807946485338571, 0.015612956969574937, 0.012311818685901081, 0.011349071056720068, 0.01096397396170398, 0.010780746238158936, 0.010683632803742316, 0.010628325957409552, 0.010595231928032132, 0.010574746151815475, 0.01056178390683426, 0.010553488331352294, 0.010548176869836284, 0.010544820171782026, 0.010542768561983796, 0.010541601234689627, 0.010541039616984393, 0.010540895832573265, 0.010541041120301501, 0.010541385980727075, 0.010541867417595559, 0.010542440580850939, 0.010543073201113185, 0.010543741829060743, 0.010544429261813325, 0.010545122761700963, 0.01054581281100843, 0.010546492233502796, 0.010547155569566822, 0.010547798628305384, 0.010548418164172887, 0.010549011641874245, 0.0105495770642743, 0.010550112845570997, 0.010550617717183224, 0.010551090657424232, 0.010551530838571568, 0.010551937586738889, 0.010552310351230157, 0.010552648680967924, 0.010552952206241823, 0.010553220624495574, 0.010553453689213427, 0.010553651201216385, 0.010553813001861638, 0.010553938967773548, 0.010554029006835237, 0.010554083055245722, 0.0105541010755062, 0.010554098201067357, 0.010554089574546306, 0.010554075186329739, 0.010554055020396511, 0.010554029054319954, 0.010553997259272564, 0.010553959600034633, 0.010553916035008892, 0.010553866516243774, 0.010553810989468695, 0.010553749394145424, 0.010553681663540655, 0.01055360772482589, 0.010553527499212081, 0.010553440902128258, 0.010553347843454785, 0.010553248227824774, 0.010553141955009422, 0.01055302892040672, 0.010552909015656911, 0.010552782129413041, 0.010552648148301149, 0.010552506958111912, 0.010552358445274817, 0.010552202498677228, 0.01055203901190469, 0.010551867885995886, 0.010551689032827631, 0.010551502379271717, 0.010551307872299414, 0.010551105485251712, 0.010550895225546832, 0.010550677144164577, 0.010550451347333394, 0.010550218010956744, 0.010549977398457693, 0.010549729882904632, 0.010549475974520101, 0.010549216354987489, 0.010548951920381642, 0.010548683835093877, 0.010548413599847942, 0.010548143137877865, 0.010547874904657677, 0.010547612028371659, 0.010547358490789553, 0.010547119361649336, 0.01054690110447307, 0.01054671197857859, 0.01054656257185348, 0.010546466513087412, 0.010546441433586516, 0.010546510279011906, 0.010546703119676808, 0.010547059680388285, 0.010547632925209584, 0.010548494215437658, 0.010549740858348096, 0.010551507365876164, 0.010553982606177558, 0.01055743656387103, 0.010562263238631121, 0.010569051579169743, 0.010578707046562198, 0.010592668826274325, 0.010613317586745953, 0.010644787681613576, 0.010694706665753343, 0.0107782754476626, 0.010929031782563966, 0.011232111500066666, 0.011953022944594964, 0.014242975705942518, 0.026703622732019924, 0.045929093462319104, 0.018456509196285924, 0.013640204152463318, 0.012232459249197788, 0.011637890126754407, 0.011329499067684852, 0.011147588948621646, 0.011030465104300982, 0.010950131891895481, 0.010892344658135931, 0.010849207164197351, 0.010816041035475298, 0.01078992292035379, 0.010768944859246629, 0.01075181562198177, 0.010737634141439564, 0.01072575487864426, 0.010715704709745654, 0.010707129900093775, 0.010699761286023455, 0.010693390824789975, 0.010687855440700169, 0.010683025670251194, 0.010678797533823389, 0.0106750866200116, 0.010671823714694946, 0.010668951526277896, 0.010666422200501789, 0.010664195411890787, 0.010662236881794025, 0.010660517215917953, 0.01065901098400019, 0.010657695985196711, 0.010656552657662145, 0.010655563601558156, 0.010654713192569932, 0.010653987268787305, 0.010653372878084754, 0.010652858076306943, 0.010652431768905544, 0.010652083590365706, 0.010651803816942043, 0.010651583308991963, 0.010651413479624984, 0.01065128628654652, 0.010651194243925601, 0.010651130450921639, 0.010651088633233153, 0.010651063193750927, 0.010651049268180468, 0.01065104278140804, 0.010651040500475713, 0.010651040080339458, 0.010651040099123403, 0.010651040080339451, 0.010651040500475708, 0.010651042781408042, 0.010651049268180472, 0.010651063193750926, 0.010651088633233149, 0.01065113045092164, 0.010651194243925605, 0.010651286286546525, 0.010651413479624989, 0.01065158330899196, 0.010651803816942038, 0.010652083590365702, 0.010652431768905549, 0.010652858076306946, 0.010653372878084755, 0.010653987268787303, 0.01065471319256992, 0.010655563601558162, 0.010656552657662148, 0.0106576959851967, 0.010659010984000194, 0.010660517215917953, 0.010662236881794025, 0.010664195411890787, 0.010666422200501789, 0.010668951526277896, 0.010671823714694943, 0.010675086620011596, 0.010678797533823394, 0.010683025670251195, 0.010687855440700165, 0.01069339082478998, 0.010699761286023462, 0.010707129900093782, 0.010715704709745642, 0.010725754878644246, 0.010737634141439571, 0.010751815621981773, 0.010768944859246617, 0.01078992292035378, 0.010816041035475288, 0.010849207164197374, 0.010892344658135949, 0.010950131891895462, 0.011030465104300953, 0.011147588948621603, 0.011329499067684986, 0.011637890126753784, 0.012232459249197256, 0.013640204152463335, 0.018456509196265222, 0.045929093462269664, 0.026703622732053626, 0.014242975705948719, 0.011953022944595267, 0.011232111500066994, 0.01092903178256413, 0.010778275447662725, 0.010694706665753402, 0.010644787681613621, 0.010613317586745954, 0.010592668826274349, 0.01057870704656221, 0.010569051579169743, 0.010562263238631119, 0.010557436563871031, 0.010553982606177554, 0.010551507365876161, 0.010549740858348092, 0.010548494215437652, 0.010547632925209584, 0.010547059680388283, 0.010546703119676808, 0.010546510279011911, 0.010546441433586521, 0.010546466513087412, 0.010546562571853478, 0.010546711978578588, 0.010546901104473072, 0.010547119361649341, 0.010547358490789551, 0.010547612028371657, 0.010547874904657676, 0.010548143137877867, 0.01054841359984794, 0.010548683835093879, 0.010548951920381642, 0.010549216354987489, 0.010549475974520103, 0.010549729882904629, 0.010549977398457694, 0.010550218010956741, 0.010550451347333394, 0.010550677144164577, 0.010550895225546831, 0.010551105485251708, 0.010551307872299413, 0.01055150237927171, 0.010551689032827632, 0.010551867885995889, 0.01055203901190469, 0.010552202498677225, 0.010552358445274811, 0.010552506958111909, 0.010552648148301152, 0.010552782129413043, 0.010552909015656909, 0.010553028920406722, 0.010553141955009424, 0.010553248227824776, 0.010553347843454783, 0.010553440902128257, 0.010553527499212083, 0.010553607724825886, 0.010553681663540652, 0.010553749394145421, 0.01055381098946869, 0.010553866516243775, 0.010553916035008892, 0.010553959600034633, 0.010553997259272562, 0.010554029054319956, 0.010554055020396511, 0.010554075186329738, 0.010554089574546309, 0.010554098201067359, 0.010554101075506193, 0.01055409963843767, 0.010554095327440739, 0.010554088143142907, 0.010554078086595212, 0.010554065159280007, 0.010554049363122037, 0.0105540307005027, 0.010554009174277781, 0.010553984787798685, 0.010553957544937343, 0.010553927450115019, 0.010553894508335182, 0.010553858725220735, 0.010553820107055868, 0.010553778660832883, 0.01055373439430431, 0.010553687316040812, 0.010553637435495238, 0.01055358476307347, 0.010553529310212494, 0.010553471089466549, 0.010553410114601876, 0.010553346400701054, 0.010553279964277707, 0.010553210823402727, 0.010553138997843025, 0.010553064509214224, 0.010552987381148593, 0.010552907639479929, 0.010552825312447131, 0.010552740430918516, 0.010552653028639116, 0.010552563142503527, 0.01055247081285721, 0.010552376083829414, 0.010552279003701493, 0.010552179625314689, 0.010552078006522032, 0.010551974210689806, 0.010551868307254554, 0.01055176037234243, 0.010551650489458919, 0.010551538750257699, 0.010551425255398985, 0.010551310115509027, 0.010551193452254313, 0.01055107539954585, 0.010550956104891445, 0.010550835730916593, 0.010550714457077779, 0.010550592481595948, 0.010550470023642223, 0.01055034732581339, 0.010550224656941, 0.010550102315285276, 0.01054998063217411, 0.010549859976158102, 0.010549740757765222, 0.010549623434954487, 0.010549508519386172, 0.010549396583649133, 0.010549288269612874, 0.010549184298105679, 0.010549085480161135, 0.010548992730125701, 0.010548907080982543, 0.010548829702323952, 0.010548761921501223, 0.010548705248601577, 0.010548661406053535, 0.010548632363854536, 0.010548620381659065, 0.010548628059278434, 0.010548658397546195, 0.010548714872024724, 0.010548801522709074, 0.01054892306377735, 0.01054908501861912, 0.010549293886949336, 0.010549557352934502, 0.010549884546132388, 0.010550286370982357, 0.010550775926026355, 0.010551369041648271, 0.010552084975873764, 0.010552947323162771, 0.010553985213439483, 0.010555234911414198, 0.010556741975235021, 0.010558564207856561, 0.010560775749403936, 0.010563472839864014, 0.010566782072939748, 0.010570872442457911, 0.010575973295904095, 0.010582401726290189, 0.010590605483027364, 0.010601232241912076, 0.01061524533682672, 0.010634124961402609, 0.010660234623279346, 0.010697526428631508, 0.010752991662900899, 0.010839896996074112, 0.010985776357215701, 0.011254893267187198, 0.011822761611450528, 0.013276313938188967, 0.017787179442569835, 0.022980295359008609, 0.016169649241624777, 0.012941281520541439, 0.0118134949765794, 0.011324884041593439, 0.011073457584591198, 0.010927623220775357, 0.010835473327446235, 0.010773415821689098, 0.010729521207973013, 0.010697240525066985, 0.010672737242473472, 0.010653642613792452, 0.010638429417437612, 0.010626076626134429, 0.010615880276296195, 0.010607341991949822, 0.010600100747899199, 0.010593889708286936, 0.010579654265110844, 0.01056971132461532, 0.010562366301147097, 0.010556715367086512, 0.010552249332428111, 0.010548675521323181, 0.010545831822928103, 0.010543643896877576, 0.010542104720079697, 0.010541267148626354, 0.010541245279321569, 0.010542222822100562, 0.010544467793215667, 0.010548352972603548, 0.010554380479704969, 0.010563205622013547, 0.010575648227386646, 0.01059266687750797, 0.010615252206672782, 0.010644177008782675, 0.010679551484380413, 0.010720229672363997, 0.01076334324079997, 0.010804479055914331, 0.010838861286945528, 0.010863093223342021, 0.010876279955336339, 0.010879795791099805, 0.010876159364128085, 0.010867955764050582, 0.010857272381305615, 0.010845576793596304, 0.010833807670648512, 0.010822518437837894, 0.010812004995605905, 0.010802400402254851, 0.010793739263507322, 0.010785999412010666, 0.010779127997227043, 0.010773057367757268, 0.010767714463317167, 0.010763026166607239, 0.010758922186559701, 0.010755336463068879, 0.010752207708873081, 0.01074947946700584, 0.010747099913473617, 0.010745021542214506, 0.010743200812079908, 0.010741597800311876, 0.010740175885439943, 0.010738901469496114, 0.010737743741714293, 0.010736674481436125, 0.010735667895549176, 0.010734700484666463, 0.010733750931941892, 0.010732800008605835, 0.010731830490808154, 0.010730827083047661, 0.010729776344262072, 0.01072866661348885, 0.010727487932838575, 0.010726231966312201, 0.010724891913714681, 0.010723462419547461, 0.010721939477289773, 0.010720320329893143, 0.010718603367616436, 0.010716788024521704, 0.010714874675044478, 0.010712864532057274, 0.010710759547776361, 0.010708562318735626, 0.010706275995883169, 0.01070390420066151, 0.010701450947724274, 0.01069892057473368, 0.010696317679482578, 0.010693647064400302, 0.010690913688337866, 0.010688122625388255, 0.010685279030382843, 0.010682388110615499, 0.010679455103279887, 0.010676485258061665, 0.010673483824302091, 0.010670456042141173, 0.010667407137053546, 0.010664342317205963, 0.010661266773089593, 0.010658185678910109, 0.010655104195253031, 0.010652027472578179, 0.010648960655135075, 0.010645908884929186, 0.010642877305406423, 0.010639871064560234, 0.010636895317201195, 0.01063395522616326, 0.010631055962254344, 0.010628202702790995, 0.010625400628588268, 0.01062265491930669, 0.010619970747088764, 0.010617353268447035, 0.010614807614396248, 0.010612338878851733, 0.010609952105346066, 0.01060765227214565, 0.010605444275878511, 0.010603332913812866, 0.010601322864954023, 0.010599418670153396, 0.010597624711447701, 0.010595945190868152, 0.010594384108978437, 0.010592945243414861, 0.010591632127713592, 0.010590448030715283, 0.010589395936838884, 0.0105884785275116, 0.010587698164031961, 0.010587056872127125, 0.010586556328443861, 0.01058619784918636, 0.010585982381082291, 0.010585910494822633, 0.010585958421355363, 0.010586102102078937, 0.010586341240710243, 0.010586675344575103, 0.010587103726289631, 0.010587625506083751, 0.010588239614737018, 0.010588944797089064, 0.010589739616079322, 0.010590622457264123, 0.010591591533752737, 0.010592644891498517, 0.010593780414876549, 0.010594995832475057, 0.010596288723024981, 0.010597656521389363, 0.010599096524533459, 0.010600605897395386, 0.010602181678577941, 0.010603820785783586, 0.010605520020916576, 0.010607276074779995, 0.010609085531298999, 0.010610944871207438, 0.01061285047514084, 0.010614798626086009, 0.010616785511146164, 0.010618807222590083, 0.010620859758164465, 0.010622939020661535, 0.010625040816747349, 0.010627160855072353, 0.01062929474370309, 0.010631437986933317, 0.010633585981554833, 0.010635734012692154, 0.010637877249331591, 0.010640010739704216, 0.010642129406713616, 0.010644228043632723, 0.010646301310329906, 0.010648343730321483, 0.010650349688986128, 0.010652313433314574, 0.010654229073605023, 0.010656090587548706, 0.010657891827179357, 0.010659626529182691, 0.010661288329074602, 0.010662870779756339, 0.010664367374938652, 0.010665771577890452, 0.010667076855908151, 0.010668276720815465, 0.01066936477568752, 0.010670334767845568, 0.010671180647988381, 0.010671896635114312, 0.010672477286647036, 0.010672917572913266, 0.010673212954840111, 0.010673359463454307, 0.010673353779488894, 0.010673193311150759, 0.010672876267893075, 0.010672401727888204, 0.010671769696827385, 0.010670981155699266, 0.010670038095332395, 0.01066894353573363, 0.010667701528615695, 0.010666317141973644, 0.0106647964261274, 0.010663146361270089, 0.010661374787220372, 0.01065949031673484, 0.010657502234357262, 0.010655420383327414, 0.010653255043511603, 0.01065101680362277, 0.010648716431154639, 0.010646364743453414, 0.010643972483198082, 0.010641550201269095, 0.010639108149578899, 0.010636656185945146, 0.010634203692540875, 0.010631759508889197, 0.010629331879813794, 0.010626928418239093, 0.010624556082276275, 0.010622221165649107, 0.010619929300215917, 0.010617685469132849, 0.010615494029076617, 0.010613358739894829, 0.010611282800068868, 0.010609268886445511, 0.010607319196807879, 0.010605435493999579, 0.010603619150478423, 0.010601871192346525, 0.010600192342074297, 0.010598583059300011, 0.010597043579239303, 0.01059557394837715, 0.010594174057236484, 0.010592843670121895, 0.010591582451823968, 0.010590389991340751, 0.010589265822728351, 0.010588209443234811, 0.01058722032890148, 0.01058629794783607, 0.010585441771372576, 0.010584651283337753, 0.010583925987641733, 0.010583265414404639, 0.010582669124821208, 0.010582136714953234, 0.010581667818625492, 0.010581262109585474, 0.010580919303070781, 0.010580639156911407, 0.010580421472277078, 0.010580266094162372, 0.010580172911685835, 0.01058014185826164], [0.010840267938739356, 0.01084033476021375, 0.010840535146251749, 0.010840868862540971, 0.010841335521366067, 0.010841934585798237, 0.010842665375524077, 0.010843527074278603, 0.010844518738838555, 0.010845639309524526, 0.010846887622154883, 0.010848262421389332, 0.010849762375397393, 0.010851386091786317, 0.010853132134723753, 0.010854999043193869, 0.010856985350331355, 0.010859089603785687, 0.010861310387078492, 0.01086364634193048, 0.010866096191550413, 0.010868658764898204, 0.010871333021956605, 0.010874118080073103, 0.01087701324146393, 0.010880018022007918, 0.010883132181499337, 0.010886355755576475, 0.010889689089598538, 0.010893132874808992, 0.01089668818719962, 0.010900356529581542, 0.010904139877477211, 0.010908040729578294, 0.010912062163671925, 0.010916207899129927, 0.010920482367290613, 0.010924890791352735, 0.010929439277760982, 0.010934134921510432, 0.010938985928360461, 0.010944001757658476, 0.010949193290374522, 0.010954573028097757, 0.010960155330221367, 0.010965956698448617, 0.010971996120229756, 0.01097829548598016, 0.010984880099199972, 0.010991779304282809, 0.010999027264385204, 0.011006663931963871, 0.011014736268532773, 0.011023299789381279, 0.011032420535693668, 0.011042177614100233, 0.011052666497303534, 0.011064003356974182, 0.011076330814016844, 0.011089825661429256, 0.011104709373730448, 0.011121262618409851, 0.01113984562152351, 0.011160927273788588, 0.011185127588809648, 0.011213281089591888, 0.011246533965106208, 0.011286497548471474, 0.011335499354544101, 0.011397010690061254, 0.011476410727720109, 0.011582432274939014, 0.011730095416401584, 0.011947203177100893, 0.012290436355971032, 0.012891740383438322, 0.014124223885490743, 0.017435043320203288, 0.033176865881098368, 0.14235452425805248, 0.023946345324163197, 0.014083326928306933, 0.012089356222943043, 0.011418380716899598, 0.011129482696832114, 0.010985987614947007, 0.010907897623264036, 0.010862708126891794, 0.010835437523409056, 0.010818517961971762, 0.010807851943493296, 0.010801097680163636, 0.010796857917659395, 0.010794269387330845, 0.010792783244181309, 0.010792042143019782, 0.010791808718062724, 0.010791922589689897, 0.010792273789432124, 0.010792785935971426, 0.010793405362772741, 0.010794093965899093, 0.010794824426083812, 0.010795576973900716, 0.010796337173936641, 0.010797094391321174, 0.010797840720800936, 0.010798570232733222, 0.010799278438277399, 0.010799961907461091, 0.010800617994656253, 0.010801244640022915, 0.010801840225006916, 0.010802403466513802, 0.010802933338902435, 0.010803429016092618, 0.010803889828291696, 0.010804315229404756, 0.010804704772299559, 0.010805058089885931, 0.010805374880533618, 0.01080565489675824, 0.010805897936397434, 0.010806103835711118, 0.010806272463993929, 0.010806403719400566, 0.01080649752576794, 0.010806553830280053, 0.010806572601868689, 0.010806569598722037, 0.010806560585768437, 0.010806545552464838, 0.010806524481232732, 0.010806497347448624, 0.010806464119431917, 0.0108064247584315, 0.010806379218612777, 0.010806327447047293, 0.010806269383707861, 0.010806204961472613, 0.010806134106142182, 0.010806056736475415, 0.010805972764249709, 0.010805882094354003, 0.01080578462492348, 0.010805680247527512, 0.010805568847424493, 0.010805450303900323, 0.010805324490710599, 0.010805191276651164, 0.010805050526286976, 0.01080490210087539, 0.010804745859528529, 0.010804581660668777, 0.010804409363843921, 0.010804228831983518, 0.010804039934196763, 0.010803842549235851, 0.010803636569777902, 0.010803421907715716, 0.010803198500694037, 0.010802966320187091, 0.010802725381488121, 0.010802475756077656, 0.01080221758696016, 0.010801951107717651, 0.010801676666234753, 0.010801394754318188, 0.010801106044786268, 0.010800811438068868, 0.010800512120976609, 0.010800209641124979, 0.010799906001614073, 0.010799603782079455, 0.010799306294305082, 0.010799017783458454, 0.010798743690012116, 0.010798490993061006, 0.010798268663791324, 0.010798088269460113, 0.010797964785189596, 0.010797917695964717, 0.010797972508904012, 0.010798162853390402, 0.01079853343597467, 0.010799144258348827, 0.010800076735167722, 0.010801442726284635, 0.010803398138668869, 0.010806163870978066, 0.010810058886238238, 0.010815553953271263, 0.010823361894648007, 0.010834595034927067, 0.01085105246739392, 0.010875772861327137, 0.010914169126701713, 0.010976550555798209, 0.011084325611515726, 0.011287423821946457, 0.011723050259520675, 0.012874982657126336, 0.01732919490503259, 0.046533188889544677, 0.028964942824698359, 0.015909751911914932, 0.013177759566942442, 0.012214215367622534, 0.011763449314171963, 0.011514516240171004, 0.011361357931408644, 0.011259724285057289, 0.011188420512879641, 0.011136221115817109, 0.011096707699349301, 0.01106598249284761, 0.011041560384804158, 0.011021792038023136, 0.011005545321651588, 0.010992020539092573, 0.010980638704765303, 0.010970971532080737, 0.010962696176672733, 0.010955565174278753, 0.010949385984848138, 0.010944006770962106, 0.010939306317872873, 0.010935186763243256, 0.010931568269447094, 0.010928385062212708, 0.010925582445544771, 0.010923114524392758, 0.010920942447357564, 0.010919033036400424, 0.010917357708093803, 0.01091589161715969, 0.010914612971572464, 0.010913502481774336, 0.010912542916163793, 0.010911718742048382, 0.010911015836430749, 0.010910421254821367, 0.010909923049088336, 0.01090951012740317, 0.010909172150792989, 0.010908899461788505, 0.010908683041258506, 0.010908514489824883, 0.010908386030328751, 0.010908290527736125, 0.010908221522701475, 0.010908173274817506, 0.010908140811439888, 0.010908119977946268, 0.010908107485422187, 0.010908100952095342, 0.010908098935376158, 0.010908100952095339, 0.010908107485422185, 0.010908119977946273, 0.010908140811439893, 0.010908173274817506, 0.010908221522701472, 0.010908290527736125, 0.010908386030328752, 0.010908514489824888, 0.010908683041258511, 0.010908899461788508, 0.010909172150792984, 0.010909510127403165, 0.010909923049088336, 0.010910421254821364, 0.010911015836430747, 0.01091171874204838, 0.010912542916163784, 0.010913502481774341, 0.010914612971572465, 0.010915891617159683, 0.010917357708093807, 0.010919033036400429, 0.010920942447357562, 0.01092311452439276, 0.010925582445544767, 0.010928385062212713, 0.010931568269447091, 0.010935186763243253, 0.010939306317872877, 0.010944006770962113, 0.010949385984848141, 0.010955565174278757, 0.010962696176672742, 0.010970971532080742, 0.010980638704765289, 0.010992020539092559, 0.011005545321651596, 0.011021792038023144, 0.011041560384804142, 0.011065982492847596, 0.011096707699349284, 0.011136221115817139, 0.011188420512879656, 0.011259724285057261, 0.011361357931408599, 0.011514516240170948, 0.01176344931417214, 0.012214215367621642, 0.013177759566941515, 0.015909751911914759, 0.028964942824634285, 0.046533188889600063, 0.01732919490504313, 0.012874982657129117, 0.011723050259520858, 0.011287423821946675, 0.011084325611515844, 0.010976550555798301, 0.010914169126701756, 0.01087577286132717, 0.010851052467393919, 0.010834595034927091, 0.010823361894648017, 0.010815553953271263, 0.010810058886238243, 0.010806163870978071, 0.010803398138668867, 0.010801442726284628, 0.010800076735167726, 0.010799144258348818, 0.010798533435974669, 0.010798162853390398, 0.010797972508904014, 0.010797917695964721, 0.010797964785189601, 0.01079808826946011, 0.010798268663791325, 0.010798490993061001, 0.010798743690012118, 0.010799017783458459, 0.010799306294305077, 0.010799603782079453, 0.010799906001614073, 0.010800209641124981, 0.010800512120976612, 0.010800811438068866, 0.010801106044786266, 0.010801394754318183, 0.010801676666234755, 0.010801951107717657, 0.01080221758696016, 0.010802475756077654, 0.010802725381488121, 0.010802966320187095, 0.01080319850069404, 0.010803421907715712, 0.010803636569777897, 0.010803842549235845, 0.010804039934196761, 0.010804228831983518, 0.010804409363843923, 0.010804581660668774, 0.010804745859528527, 0.010804902100875386, 0.010805050526286971, 0.010805191276651166, 0.010805324490710594, 0.010805450303900326, 0.010805568847424497, 0.010805680247527512, 0.01080578462492348, 0.010805882094354003, 0.010805972764249714, 0.010806056736475412, 0.010806134106142184, 0.010806204961472611, 0.010806269383707864, 0.010806327447047293, 0.010806379218612775, 0.0108064247584315, 0.010806464119431916, 0.010806497347448622, 0.010806524481232732, 0.01080654555246484, 0.01080656058576844, 0.010806569598722037, 0.010806572601868684, 0.010806571100456379, 0.010806566596395169, 0.010806559090213608, 0.01080654858279727, 0.010806535075395845, 0.010806518569633102, 0.010806499067519784, 0.010806476571469645, 0.010806451084318608, 0.010806422609347274, 0.010806391150306943, 0.010806356711449272, 0.010806319297559937, 0.010806278913996381, 0.010806235566730094, 0.010806189262393639, 0.010806140008332913, 0.010806087812664941, 0.010806032684341733, 0.01080597463322072, 0.010805913670142386, 0.010805849807015672, 0.010805783056911947, 0.010805713434168297, 0.010805640954501202, 0.010805565635131326, 0.010805487494920879, 0.010805406554524622, 0.010805322836555954, 0.010805236365769759, 0.010805147169263781, 0.010805055276700433, 0.010804960720551447, 0.010804863536367802, 0.010804763763077811, 0.010804661443316639, 0.010804556623790847, 0.010804449355682078, 0.010804339695094617, 0.010804227703552034, 0.010804113448549013, 0.010803997004165173, 0.010803878451748645, 0.010803757880678402, 0.010803635389215473, 0.010803511085454751, 0.010803385088390773, 0.010803257529112938, 0.010803128552147925, 0.010802998316969788, 0.010802866999701663, 0.010802734795036415, 0.010802601918408539, 0.010802468608454492, 0.010802335129805222, 0.010802201776261974, 0.010802068874415462, 0.010801936787779095, 0.010801805921519757, 0.010801676727885137, 0.01080154971244493, 0.0108014254412861, 0.010801304549329467, 0.010801187749968581, 0.010801075846272483, 0.010800969744044688, 0.010800870467092619, 0.010800779175139271, 0.010800697184904716, 0.01080062599500607, 0.010800567315475809, 0.010800523102890536, 0.010800495602346397, 0.010800487397829637, 0.010800501472933091, 0.010800541284390033, 0.010800610851576327, 0.010800714866023298, 0.010800858826164101, 0.010801049204109268, 0.010801293653362491, 0.010801601269256139, 0.010801982917813733, 0.01080245165417712, 0.010803023259325138, 0.010803716934537638, 0.010804556208405572, 0.01080557013343398, 0.010806794881987455, 0.010808275900139198, 0.010810070852047769, 0.010812253701895687, 0.010814920460644587, 0.010818197414892483, 0.010822253132995133, 0.010827316351783476, 0.010833703254147712, 0.010841860177792428, 0.010852432514321754, 0.010866379731563557, 0.01088517515307026, 0.010911169401508811, 0.010948288886467816, 0.011003469815547562, 0.011089850021590275, 0.011234627182307272, 0.01150105394394082, 0.01206098735427534, 0.01348489992194157, 0.017878984023806485, 0.023290609030138631, 0.01658364358786707, 0.013257979638154846, 0.012096092427194734, 0.011594244120688522, 0.011336620616047606, 0.01118744110068364, 0.011093287330200399, 0.01102993240862808, 0.010985146214276518, 0.0109522234911642, 0.010927240198084056, 0.010907775561947391, 0.010892269866388183, 0.010879680936233437, 0.0108692905586559, 0.010860590468946366, 0.010853212603606137, 0.010836610753018821, 0.010825283878659362, 0.010817067839981943, 0.010810838688977748, 0.010805974520679685, 0.01080212109293361, 0.010799081204448387, 0.010796760198905794, 0.01079513963698568, 0.010794266815858234, 0.010794254578017439, 0.010795288991366978, 0.010797643914039748, 0.010801701760273133, 0.010807978789493853, 0.010817150096653693, 0.01083006255622268, 0.010847711108982824, 0.010871134208331214, 0.010901164849785353, 0.010937981865761217, 0.010980499918304791, 0.011025864513641709, 0.011069569633289644, 0.011106594860508547, 0.011133183230977152, 0.011148100374900936, 0.011152548389893623, 0.011149083043500521, 0.011140466008044326, 0.011128999262741451, 0.011116334938327133, 0.011103542535819282, 0.01109125608602613, 0.011079814890185951, 0.01106937122268754, 0.011059964569512352, 0.011051569834337607, 0.011044127420278891, 0.01103756141286453, 0.011031790224854166, 0.011026732582570611, 0.011022310692588898, 0.011018451738485683, 0.011015088415812125, 0.011012158935966613, 0.011009606757330793, 0.011007380195887716, 0.011005432002565547, 0.011003718955024673, 0.011002201487752161, 0.011000843370104166, 0.010999611433626721, 0.010998475345306079, 0.010997407420953934, 0.010996382471863885, 0.010995377677657125, 0.010994372478543252, 0.010993348480850392, 0.010992289370495661, 0.010991180829981427, 0.010990010455451105, 0.010988767671271379, 0.010987443640487995, 0.010986031170301815, 0.010984524612407341, 0.010982919758615423, 0.010981213732636217, 0.010979404879227994, 0.010977492652127035, 0.010975477502273172, 0.010973360767849043, 0.010971144567574264, 0.010968831698556716, 0.010966425539819072, 0.010963929962406643, 0.010961349246757035, 0.010958688007786604, 0.010955951127932798, 0.010953143698193599, 0.010950270967030435, 0.010947338296852497, 0.010944351127679268, 0.010941314947484375, 0.010938235268655784, 0.010935117609962734, 0.010931967483395526, 0.010928790385237879, 0.010925591790739032, 0.010922377151771964, 0.010919151896891728, 0.010915921433241514, 0.010912691149792323, 0.010909466421441853, 0.010906252613540121, 0.010903055086450175, 0.010899879199793065, 0.010896730316065868, 0.01089361380335949, 0.010890535036939724, 0.010887499399490439, 0.010884512279851787, 0.010881579070119472, 0.01087870516100342, 0.010875895935376302, 0.010873156759973447, 0.010870492975237397, 0.010867909883331592, 0.010865412734378688, 0.010863006711010063, 0.010860696911343989, 0.010858488330539448, 0.010856385841101886, 0.010854394172144457, 0.010852517887833892, 0.010850761365272629, 0.010849128772088825, 0.010847624044021117, 0.010846250862796966, 0.010845012634609144, 0.010843912469496387, 0.010842953161929278, 0.010842137172891723, 0.010841466613732094, 0.010840943232034951, 0.010840568399737151, 0.010840343103678452, 0.010840267938739356, 0.010840318051152468, 0.010840468285253741, 0.01084071833198484, 0.010841067677429711, 0.010841515604570492, 0.010842061195713772, 0.010842703335556144, 0.010843440714849169, 0.010844271834616465, 0.010845195010868241, 0.010846208379752028, 0.010847309903072538, 0.010848497374108725, 0.010849768423651518, 0.010851120526182964, 0.010852551006114408, 0.010854057044000609, 0.010855635682645609, 0.010857283833016783, 0.010858998279885139, 0.01086077568711186, 0.010862612602504993, 0.010864505462174013, 0.010866450594315943, 0.010868444222372863, 0.010870482467508347, 0.010872561350359175, 0.010874676792028991, 0.010876824614301551, 0.010879000539064968, 0.010881200186952164, 0.010883419075219974, 0.01088565261490749, 0.010887896107334677, 0.010890144740025639, 0.01089239358216619, 0.010894637579733232, 0.010896871550464288, 0.01089909017886887, 0.010901288011518899, 0.010903459452893531, 0.010905598762093389, 0.010907700050779888, 0.010909757282736061, 0.010911764275484943, 0.010913714704438009, 0.010915602110077935, 0.010917419908703927, 0.010919161407281924, 0.010920819822941866, 0.010922388307647342, 0.010923859978524547, 0.010925227954274518, 0.010926485398000804, 0.010927625566661383, 0.010928641867196203, 0.010929527919189521, 0.010930277623699839, 0.010930885237632634, 0.010931345452748452, 0.010931653478098958, 0.010931805124378722, 0.010931796888384939, 0.010931626035508577, 0.010931290677957263, 0.010930789846252897, 0.010930123551474836, 0.010929292835748975, 0.010928299808627886, 0.010927147667273863, 0.010925840698745418, 0.010924384263189039, 0.010922784757335303, 0.010921049558364992, 0.010919186948913497, 0.010917206024683304, 0.010915116586793464, 0.01091292902157312, 0.010910654170968639, 0.010908303197052492, 0.010905887444280744, 0.010903418303136157, 0.010900907078622997, 0.010898364866761458, 0.010895802441790425, 0.010893230156257802, 0.010890657855593115, 0.010888094808152884, 0.010885549651138918, 0.010883030352241816, 0.010880544186380198, 0.010878097726504995, 0.010875696847128006, 0.010873346739016172, 0.010871051933364144, 0.010868816333710597, 0.010866643253886626, 0.010864535460364732, 0.01086249521750152, 0.010860524334321928, 0.010858624211666756, 0.010856795888707063, 0.010855040088009903, 0.010853357258513966, 0.01085174761593434, 0.010850211180261367, 0.010848747810145904, 0.010847357234072505, 0.01084603907831304, 0.010844792891726757, 0.010843618167530619, 0.010842514362207007, 0.010841480911746726, 0.01084051724544547, 0.010839622797482823, 0.010838797016516841, 0.010838039373524792, 0.010837349368113825, 0.010836726533514848, 0.010836170440459784, 0.010835680700126967, 0.010835256966323609, 0.010834898937056324, 0.010834606355623505, 0.010834379011345209, 0.010834216740027793, 0.010834119424243316, 0.010834086993485051], [0.011096764117708957, 0.011096833985412381, 0.011097043507222824, 0.011097392440128199, 0.011097880382060927, 0.011098506776307625, 0.01109927091764472, 0.011100171960163541, 0.011101208926739202, 0.011102380720090023, 0.011103686135368312, 0.011105123874218303, 0.011106692560234508, 0.011108390755753005, 0.011110216979909658, 0.0111121697279027, 0.011114247491403755, 0.011116448780070049, 0.011118772144121981, 0.011121216197965179, 0.011123779644853492, 0.011126461302610824, 0.011129260130454198, 0.011132175256989707, 0.011135206009486547, 0.011138351944573067, 0.011141612880544396, 0.011144988931523232, 0.011148480543776901, 0.011152088534565742, 0.011155814133982101, 0.011159659030340562, 0.011163625419799615, 0.011167716061039914, 0.011171934335999409, 0.011176284317879344, 0.011180770847897037, 0.01118539962258493, 0.011190177293837809, 0.011195111584411504, 0.011200211422208164, 0.011205487097480477, 0.011210950448101028, 0.011216615079339501, 0.011222496626257841, 0.011228613068991493, 0.011234985113996381, 0.011241636658028407, 0.011248595356493757, 0.011255893324293425, 0.011263568005991181, 0.011271663263924947, 0.011280230749004876, 0.011289331641219359, 0.011299038878002319, 0.011309440032655445, 0.011320641068155458, 0.011332771283511294, 0.011345989905538187, 0.011360494982920886, 0.011376535551947961, 0.011394428531977649, 0.011414582590328525, 0.011437532498064467, 0.011463989659018483, 0.011494918251438406, 0.011531653184362237, 0.011576088731881266, 0.011630991503135462, 0.011700542558087694, 0.011791325652446352, 0.011914243138287683, 0.012088522502215515, 0.012350935578723219, 0.012779836706794889, 0.013569557488402505, 0.01532673998181573, 0.020862595814352611, 0.059873155115591339, 0.066130786674609809, 0.018322917158373708, 0.013309865410323564, 0.012019872266276899, 0.011536228267865408, 0.011315375152573189, 0.011201767413229447, 0.011138612297616637, 0.011101621020090128, 0.011079186219032387, 0.011065286754150055, 0.011056596990645873, 0.011051187401706552, 0.011047893543073315, 0.011045989895007635, 0.011045012414525707, 0.011044657777856133, 0.011044724070370326, 0.011045074790119805, 0.011045616423346625, 0.011046284159308252, 0.011047032614077043, 0.011047829706981481, 0.011048652560569814, 0.011049484721721523, 0.011050314258232318, 0.011051132443075628, 0.011051932837595433, 0.011052710648148318, 0.011053462271768255, 0.011054184973453667, 0.011054876655693437, 0.011055535692995475, 0.011056160812452372, 0.011056751007059501, 0.011057305472432671, 0.011057823560311882, 0.011058304744157482, 0.011058748593496846, 0.011059154754636223, 0.011059522936031274, 0.011059852897093356, 0.011060144439554035, 0.011060397400757769, 0.011060611648430002, 0.011060787076595954, 0.01106092360241763, 0.011061021163783604, 0.011061079717535482, 0.011061099238251439, 0.011061096106157355, 0.01106108670606043, 0.011061071026512393, 0.011061049048418639, 0.011061020745017535, 0.011060986081852405, 0.011060945016737319, 0.011060897499718026, 0.011060843473029883, 0.011060782871055146, 0.011060715620282404, 0.011060641639271753, 0.011060560838630169, 0.011060473121002147, 0.011060378381082458, 0.011060276505658622, 0.011060167373692881, 0.011060050856455349, 0.011059926817722549, 0.011059795114058663, 0.011059655595200519, 0.011059508104572277, 0.0110593524799608, 0.01105918855439047, 0.011059016157244157, 0.011058835115688106, 0.011058645256471485, 0.011058446408187775, 0.011058238404105832, 0.011058021085703761, 0.011057794307071099, 0.011057557940385329, 0.011057311882719925, 0.011057056064506266, 0.011056790460055024, 0.011056515100648836, 0.011056230090855535, 0.011055935628888383, 0.011055632032071027, 0.011055319768766983, 0.01105499949853145, 0.011054672122770502, 0.011054338848895852, 0.011054001271908217, 0.011053661478620908, 0.011053322181480188, 0.011052986891340303, 0.011052660141886576, 0.011052347783077886, 0.011052057367610238, 0.011051798663906385, 0.011051584342922268, 0.011051430906321902, 0.011051359953768498, 0.011051399932773801, 0.01105158858484419, 0.0110519764117726, 0.011052631661831824, 0.011053647622794857, 0.011055153488864324, 0.01105733089301748, 0.011060439654365839, 0.011064858956221828, 0.011071155232655359, 0.011080198075193415, 0.011093366371617383, 0.011112933017898169, 0.011142825572872529, 0.011190240060726608, 0.011269379955144924, 0.011411158295650498, 0.011692496629269165, 0.012345960348146589, 0.014328601722518241, 0.024282506720644251, 0.054787187616784916, 0.020911096908531025, 0.014663248263401769, 0.012963265336987991, 0.012270963727651425, 0.011919285665311832, 0.01171455501344305, 0.011583907391459657, 0.011494864535002881, 0.011431111161494673, 0.011383689303645025, 0.011347330525717795, 0.011318761885921848, 0.01129585724970986, 0.011277183231920321, 0.011261742721098861, 0.011248823247344424, 0.011237903779658449, 0.011228595481684476, 0.011220602933794155, 0.011213698088179498, 0.011207702370821356, 0.011202474127456454, 0.011197899653956079, 0.01119388667961058, 0.01119035955977566, 0.011187255679614818, 0.01118452272905739, 0.01118211661336577, 0.011179999833586654, 0.011178140218772774, 0.011176509924797118, 0.011175084637692151, 0.011173842935875337, 0.011172765777439085, 0.01117183608727134, 0.011171038425061527, 0.011170358719873196, 0.011169784060366504, 0.011169302532235107, 0.011168903096199534, 0.011168575501128819, 0.011168310227662693, 0.011168098458172997, 0.011167932069117783, 0.011167803641879769, 0.01116770648811628, 0.011167634685550511, 0.01116758312007211, 0.0111675475300477, 0.011167524548918572, 0.01116751174251481, 0.011167507638054673, 0.011167511742514805, 0.011167524548918568, 0.011167547530047705, 0.01116758312007211, 0.01116763468555051, 0.011167706488116273, 0.011167803641879769, 0.011167932069117785, 0.011168098458173003, 0.011168310227662698, 0.011168575501128821, 0.01116890309619953, 0.011169302532235102, 0.011169784060366506, 0.011170358719873199, 0.011171038425061524, 0.011171836087271332, 0.011172765777439076, 0.011173842935875342, 0.011175084637692154, 0.011176509924797112, 0.011178140218772774, 0.011179999833586654, 0.01118211661336577, 0.011184522729057393, 0.011187255679614818, 0.01119035955977566, 0.011193886679610576, 0.011197899653956074, 0.011202474127456459, 0.011207702370821363, 0.011213698088179498, 0.01122060293379416, 0.011228595481684483, 0.011237903779658453, 0.011248823247344407, 0.011261742721098845, 0.011277183231920326, 0.011295857249709869, 0.011318761885921829, 0.011347330525717781, 0.011383689303645007, 0.011431111161494709, 0.011494864535002897, 0.011583907391459616, 0.011714555013442998, 0.011919285665311755, 0.012270963727651693, 0.012963265336986458, 0.014663248263400038, 0.020911096908530519, 0.054787187616705119, 0.024282506720668187, 0.014328601722522307, 0.012345960348148062, 0.011692496629269295, 0.011411158295650653, 0.011269379955145009, 0.011190240060726673, 0.01114282557287256, 0.011112933017898194, 0.011093366371617383, 0.011080198075193434, 0.011071155232655373, 0.011064858956221828, 0.011060439654365841, 0.011057330893017484, 0.011055153488864319, 0.011053647622794852, 0.011052631661831827, 0.0110519764117726, 0.011051588584844183, 0.011051399932773797, 0.011051359953768502, 0.011051430906321907, 0.01105158434292227, 0.011051798663906379, 0.011052057367610238, 0.011052347783077879, 0.011052660141886578, 0.011052986891340306, 0.011053322181480184, 0.011053661478620911, 0.011054001271908219, 0.011054338848895852, 0.011054672122770504, 0.011054999498531457, 0.01105531976876698, 0.011055632032071026, 0.011055935628888383, 0.011056230090855537, 0.011056515100648834, 0.011056790460055019, 0.011057056064506268, 0.011057311882719929, 0.011057557940385336, 0.011057794307071094, 0.01105802108570376, 0.011058238404105827, 0.011058446408187771, 0.011058645256471491, 0.011058835115688113, 0.011059016157244153, 0.011059188554390465, 0.011059352479960798, 0.01105950810457227, 0.011059655595200522, 0.011059795114058654, 0.011059926817722551, 0.011060050856455351, 0.01106016737369288, 0.011060276505658622, 0.011060378381082462, 0.011060473121002152, 0.011060560838630169, 0.011060641639271757, 0.011060715620282402, 0.01106078287105515, 0.011060843473029885, 0.011060897499718022, 0.011060945016737319, 0.011060986081852405, 0.011061020745017533, 0.011061049048418639, 0.011061071026512392, 0.011061086706060428, 0.011061096106157355, 0.011061099238251436, 0.011061097672375411, 0.011061092974892687, 0.011061085146240573, 0.01106107418715214, 0.011061060098662598, 0.011061042882118297, 0.011061022539188371, 0.011060999071879178, 0.011060972482551615, 0.011060942773941401, 0.011060909949182586, 0.011060874011834258, 0.011060834965910928, 0.011060792815916577, 0.01106074756688275, 0.011060699224410992, 0.011060647794719923, 0.011060593284697317, 0.011060535701957676, 0.011060475054905658, 0.011060411352805971, 0.011060344605860313, 0.01106027482529191, 0.011060202023438503, 0.01106012621385455, 0.011060047411423473, 0.011059965632481112, 0.011059880894951381, 0.011059793218495449, 0.011059702624675842, 0.011059609137137123, 0.011059512781804762, 0.011059413587104418, 0.011059311584203641, 0.011059206807278711, 0.011059099293809346, 0.011058989084904524, 0.01105887622566302, 0.011058760765572793, 0.01105864275895385, 0.011058522265449794, 0.011058399350574169, 0.011058274086318265, 0.011058146551828263, 0.011058016834160519, 0.011057885029125147, 0.011057751242229547, 0.011057615589735175, 0.011057478199842961, 0.011057339214025014, 0.011057198788523142, 0.011057057096037782, 0.011056914327634806, 0.011056770694902192, 0.011056626432393746, 0.011056481800403296, 0.011056337088120491, 0.011056192617227784, 0.011056048746009335, 0.011055905874054845, 0.011055764447657013, 0.011055624966019721, 0.011055487988416449, 0.011055354142465902, 0.011055224133725025, 0.01105509875684043, 0.011054978908549659, 0.01105486560288557, 0.011054759989014305, 0.011054663372233238, 0.011054577238775497, 0.011054503285219062, 0.011054443453489759, 0.011054399972691123, 0.011054375409305555, 0.01105437272771234, 0.011054395363487513, 0.011054447312627671, 0.011054533240729544, 0.011054658617333016, 0.011054829882204218, 0.011055054652443099, 0.011055341982159343, 0.011055702690374045, 0.011056149778214853, 0.011056698964032234, 0.011057369375746629, 0.011058184455016379, 0.011059173149957942, 0.011060371505689998, 0.011061824810522753, 0.01106359052925154, 0.011065742368713832, 0.011068375999780795, 0.011071617247875115, 0.01107563403819699, 0.011080654183017735, 0.011086992491990322, 0.011095093190038124, 0.011105598291750535, 0.011119461637271939, 0.011138146727631344, 0.011163986121058171, 0.011200870936603245, 0.011255663325104708, 0.011341331568194819, 0.011484640379321905, 0.011747569745515246, 0.012297481976683693, 0.013685135273668011, 0.017938861175664948, 0.023588411400686043, 0.017031246530957011, 0.01358862010146657, 0.012385713942138452, 0.011868171503815221, 0.011603300668982217, 0.011450255026067984, 0.01135380880951754, 0.011288982838444078, 0.011243193748275936, 0.011209554006481048, 0.011184038193852081, 0.011164165627089679, 0.011148339373966464, 0.011135493158611504, 0.011124892603165574, 0.01111601827190261, 0.011096454869361057, 0.011083450326124265, 0.011074204604145736, 0.011067306397570845, 0.011061990731948699, 0.011057826949148889, 0.011054575112180338, 0.011052116271520557, 0.011050418654526278, 0.011049523393030791, 0.011049542452770665, 0.011050665532084163, 0.011053174568904584, 0.01105746501385395, 0.011064072140247246, 0.011073697548712163, 0.01108722402665761, 0.011105693781146788, 0.011130204782106209, 0.011161659067053555, 0.011200302642484493, 0.011245088089417691, 0.011293121922428258, 0.011339727726870065, 0.011379566972750325, 0.011408491340442004, 0.011424953945070043, 0.011430048541971194, 0.011426433649584214, 0.01141709332680511, 0.011404567394687527, 0.011390699820056589, 0.011376689617735402, 0.011363246537597035, 0.011350747535462545, 0.011339358709826709, 0.01132911981262269, 0.011319999040721444, 0.011311927024190064, 0.011304817183344831, 0.011298577501822692, 0.011293117039995174, 0.011288349297985901, 0.01128419373591719, 0.011280576248942676, 0.011277429076833073, 0.011274690432434504, 0.011272304014155594, 0.011270218495488878, 0.011268387041194136, 0.011266766873931279, 0.011265318899952701, 0.01126400739376182, 0.01126279973686815, 0.011261666203378066, 0.01126057978421725, 0.011259516041718562, 0.011258452986781031, 0.011257370971595564, 0.011256252591903311, 0.01125508259380994, 0.01125384778125807, 0.011252536921310645, 0.011251140645381514, 0.011249651345437636, 0.011248063064966297, 0.01124637138513857, 0.011244573307098436, 0.011242667131666762, 0.011240652337976321, 0.011238529462660681, 0.011236299981220931, 0.011233966193108487, 0.011231531111909101, 0.011228998361811808, 0.011226372081315612, 0.011223656834881968, 0.011220857532997369, 0.011217979360877999, 0.011215027715836001, 0.011212008153140539, 0.011208926340048971, 0.011205788017555923, 0.011202598969310059, 0.011199364997077958, 0.011196091902089799, 0.011192785471578147, 0.011189451469817046, 0.011186095632979228, 0.011182723667151841, 0.011179341248882989, 0.011175954027668814, 0.011172567629833296, 0.011169187663296802, 0.011165819722774676, 0.01116246939499203, 0.011159142263544537, 0.011155843913077742, 0.011152579932498097, 0.011149355916967899, 0.011146177468474152, 0.011143050194797001, 0.011139979706738844, 0.011136971613508732, 0.011134031516190693, 0.011131164999257027, 0.011128377620120934, 0.01112567489675529, 0.011123062293436988, 0.011120545204708619, 0.011118128937681446, 0.011115818692834643, 0.011113619543496142, 0.011111536414219182, 0.011109574058295015, 0.011107737034666238, 0.011106029684525516, 0.011104456107900952, 0.011103020140541478, 0.01110172533142185, 0.011100574921188218, 0.011099571821860041, 0.011098718598093082, 0.011098017450290702, 0.011097470199826985, 0.01109707827661616, 0.01109684270922795, 0.011096764117708957, 0.01109681651460623, 0.011096973597720319, 0.011097235044689716, 0.011097600319478953, 0.011098068674212418, 0.011098639151708247, 0.011099310588679502, 0.011100081619560845, 0.011100950680911105, 0.011101916016334264, 0.011102975681854648, 0.011104127551675861, 0.011105369324247891, 0.011106698528562128, 0.011108112530590934, 0.011109608539785322, 0.011111183615543323, 0.011112834673560638, 0.011114558491975679, 0.011116351717222812, 0.011118210869509594, 0.011120132347837926, 0.011122112434492945, 0.011124147298929729, 0.011126233000994299, 0.01112836549342344, 0.011130540623577169, 0.011132754134368358, 0.011135001664365686, 0.011137278747060315, 0.011139580809301601, 0.011141903168924803, 0.011144241031613307, 0.011146589487059223, 0.011148943504511014, 0.01115129792782346, 0.01115364747015486, 0.011155986708489229, 0.01115831007819627, 0.011160611867880236, 0.011162886214808964, 0.01116512710125701, 0.011167328352139943, 0.011169483634360846, 0.011171586458332066, 0.011173630182174854, 0.011175608019133471, 0.011177513048766529, 0.011179338232493594, 0.011181076434075718, 0.011182720445590832, 0.011184263019424708, 0.0111856969067313, 0.011187014902718921, 0.011188209898987176, 0.011189274942971984, 0.011190203304350674, 0.011190988548017632, 0.011191624612965648, 0.0111921058961062, 0.011192427339741172, 0.011192584521072994, 0.011192573741824403, 0.01119239211575232, 0.011192037651602621, 0.011191509328885896, 0.011190807163778665, 0.011189932262488657, 0.011188886859579967, 0.011187674339042126, 0.011186299236305396, 0.011184767219943041, 0.011183085052441789, 0.011181260530134692, 0.011179302403141458, 0.01117722027690846, 0.011175024497641163, 0.011172726024533829, 0.011170336292187912, 0.011167867066942731, 0.011165330301001895, 0.011162737988219677, 0.01116010202521966, 0.011157434081171289, 0.011154745479074779, 0.011152047090836312, 0.011149349247789762, 0.011146661667677716, 0.011143993398477504, 0.011141352778878566, 0.011138747414709802, 0.011136184170195044, 0.011133669172591801, 0.011131207828543819, 0.011128804850347796, 0.011126464290290834, 0.011124189581244903, 0.011121983581794252, 0.01111984862430769, 0.011117786564534297, 0.011115798831487462, 0.011113886476575761, 0.011112050221131296, 0.011110290501670089, 0.011108607512388825, 0.011107001244555277, 0.011105471522583534, 0.011104018036699208, 0.011102640372194862, 0.011101338035352149, 0.01110011047616717, 0.01109895710805997, 0.011097877324780823, 0.011096870514746157, 0.011095936073048051, 0.011095073411384411, 0.011094281966153963, 0.011093561204952626, 0.0110929106316962, 0.01109232979058041, 0.011091818269072826, 0.011091375700114247, 0.011091001763688376, 0.011090696187900255, 0.011090458749684746, 0.011090289275247342, 0.011090187640320987, 0.011090153770303379], [0.011354864809837415, 0.011354937814846876, 0.01135515674563008, 0.01135552135038502, 0.011356031212547843, 0.011356685755432111, 0.01135748424868447, 0.011358425816518719, 0.011359509447680971, 0.011360734007090803, 0.011362098249097006, 0.011363600832281854, 0.011365240335744898, 0.011367015276797267, 0.011368924129998868, 0.011370965347475072, 0.011373137380456705, 0.011375438701996834, 0.01137786783083016, 0.011380423356357337, 0.01138310396475522, 0.011385908466237677, 0.011388835823517903, 0.011391885181555522, 0.011395055898707996, 0.011398347579448385, 0.011401760108861477, 0.01140529368918723, 0.011408948878748168, 0.011412726633676535, 0.01141662835294977, 0.011420655927355122, 0.011424811793136182, 0.011429098991235107, 0.011433521233238658, 0.011438082975373978, 0.01144278950219171, 0.011447647021935478, 0.011452662776046087, 0.011457845165810632, 0.011463203899874826, 0.011468750167232804, 0.011474496841449456, 0.011480458723332483, 0.011486652831155299, 0.01149309874997601, 0.011499819054789086, 0.011506839826442856, 0.011514191284815607, 0.011521908571166953, 0.011530032721579455, 0.011538611886994911, 0.01154770287400385, 0.01155737310642845, 0.011567703144069692, 0.011578789946633415, 0.011590751145276254, 0.011603730693086286, 0.011617906427688453, 0.011633500324156465, 0.011650792594466181, 0.011670141385660358, 0.011692010790543115, 0.0117170114772151, 0.01174596095791954, 0.011779975294899176, 0.01182061276029597, 0.011870106552500355, 0.011931756752315508, 0.012010621428508037, 0.012114803646468414, 0.012258012561944451, 0.012465097289542214, 0.012785330734297353, 0.013329079339838255, 0.014390961480227591, 0.017007946853637271, 0.027249471915663646, 0.13286932475608654, 0.033570258777922357, 0.015796647853310246, 0.012923853668850405, 0.012045956749152946, 0.011687987973218439, 0.011516567479355755, 0.011425836524201385, 0.011374543229683089, 0.011344244724012496, 0.011325842340449506, 0.011314503898848973, 0.011307512873294552, 0.011303272042108627, 0.011300807934907512, 0.011299509702816951, 0.011298984788097455, 0.011298975899162367, 0.011299311613268456, 0.011299876133318921, 0.011300590314767274, 0.011301399512771489, 0.011302265658634278, 0.011303162015008271, 0.011304069659266424, 0.011304975099658488, 0.011305868644262416, 0.011306743276151377, 0.011307593872425196, 0.011308416658845253, 0.011309208827080565, 0.011309968264880736, 0.011310693365079649, 0.011311382889868063, 0.011312035873957895, 0.011312651555199248, 0.011313229324629012, 0.011313768690308744, 0.011314269250973414, 0.011314730676681021, 0.011315152694476289, 0.011315535077662909, 0.011315877637690402, 0.011316180217952852, 0.011316442689003814, 0.011316664944837943, 0.011316846899994185, 0.011316988487309058, 0.011317089656201089, 0.011317150371404957, 0.011317170612100899, 0.011317167354897446, 0.011317157579187401, 0.011317141272665364, 0.01131711841480133, 0.011317088976809638, 0.011317052921606218, 0.011317010203755071, 0.011316960769405063, 0.011316904556218485, 0.011316841493293298, 0.011316771501081352, 0.011316694491305485, 0.011316610366879143, 0.011316519021832772, 0.011316420341252634, 0.011316314201238336, 0.011316200468887417, 0.011316079002316688, 0.011315949650732448, 0.011315812254564269, 0.011315666645680296, 0.011315512647706222, 0.011315350076474599, 0.011315178740637796, 0.011314998442484833, 0.011314808979012032, 0.011314610143308708, 0.011314401726333349, 0.011314183519173902, 0.011313955315907596, 0.011313716917204199, 0.011313468134851529, 0.01131320879742677, 0.011312938757393589, 0.011312657899977234, 0.011312366154261826, 0.011312063507072787, 0.01131175002036031, 0.011311425852998802, 0.011311091288176861, 0.011310746767893339, 0.01131039293652557, 0.011310030696035159, 0.011309661276178887, 0.011309286324174567, 0.011308908019742603, 0.011308529223460132, 0.011308153669152199, 0.011307786214934985, 0.011307433173011182, 0.011307102746134005, 0.011306805609924222, 0.011306555696672237, 0.011306371260587929, 0.011306276340981502, 0.011306302795542377, 0.011306493162255385, 0.011306904744994729, 0.011307615538031971, 0.011308732968016884, 0.01131040704664611, 0.011312850596418841, 0.011316371130528304, 0.011321422533947242, 0.011328691590212462, 0.011339248363771978, 0.011354819262337206, 0.01137830933873675, 0.011414866114445449, 0.011474220842455142, 0.011576371283487642, 0.011767259410502827, 0.012170305106308923, 0.01320509115931588, 0.016977534527100508, 0.041683798102853456, 0.035010718939875014, 0.017414633942893415, 0.014030284931078271, 0.012895181536286006, 0.012378141544167356, 0.012097134179435661, 0.011926032413317014, 0.011813306256566876, 0.011734630650272564, 0.011677258293595545, 0.011633959056848631, 0.011600369632183374, 0.011573721923410994, 0.011552186172264126, 0.011534510547298385, 0.011519813213771928, 0.011507457168887618, 0.011496972103735466, 0.011488004057780971, 0.011480282070411145, 0.011473595544366324, 0.011467778541920147, 0.01146269867556947, 0.011458249109084731, 0.011454342705025784, 0.011450907679618934, 0.011447884333225296, 0.011445222559703653, 0.011442879927620782, 0.011440820186796388, 0.011439012095195529, 0.01143742849009062, 0.011436045547813998, 0.01143484219099295, 0.011433799612680186, 0.011432900894454244, 0.011432130701176189, 0.01143147503920632, 0.011430921067892397, 0.011430456956311195, 0.011430071778774238, 0.011429755443642624, 0.011429498650649274, 0.011429292872296526, 0.011429130355065945, 0.011429004136224809, 0.011428908072012623, 0.011428836873009187, 0.011428786142582047, 0.011428752414533571, 0.011428733186446795, 0.011428726945777297, 0.011428733186446789, 0.011428752414533571, 0.011428786142582048, 0.011428836873009187, 0.011428908072012623, 0.0114290041362248, 0.011429130355065945, 0.011429292872296531, 0.011429498650649276, 0.011429755443642626, 0.01143007177877424, 0.011430456956311189, 0.011430921067892391, 0.01143147503920632, 0.01143213070117619, 0.011432900894454246, 0.011433799612680179, 0.011434842190992939, 0.011436045547814007, 0.011437428490090626, 0.011439012095195525, 0.011440820186796383, 0.01144287992762078, 0.011445222559703653, 0.011447884333225295, 0.011450907679618936, 0.011454342705025791, 0.011458249109084724, 0.011462698675569469, 0.011467778541920156, 0.011473595544366331, 0.011480282070411144, 0.011488004057780974, 0.011496972103735469, 0.011507457168887623, 0.011519813213771914, 0.011534510547298369, 0.011552186172264134, 0.011573721923411003, 0.011600369632183354, 0.011633959056848615, 0.011677258293595524, 0.011734630650272604, 0.011813306256566909, 0.011926032413316964, 0.012097134179435589, 0.012378141544167267, 0.012895181536286408, 0.014030284931075651, 0.017414633942889404, 0.035010718939874549, 0.041683798102969238, 0.016977534527108023, 0.013205091159317813, 0.012170305106309802, 0.011767259410502915, 0.011576371283487751, 0.011474220842455207, 0.011414866114445499, 0.011378309338736776, 0.011354819262337229, 0.011339248363771981, 0.01132869159021248, 0.01132142253394725, 0.011316371130528306, 0.011312850596418844, 0.011310407046646112, 0.011308732968016877, 0.01130761553803197, 0.01130690474499473, 0.011306493162255387, 0.011306302795542379, 0.011306276340981501, 0.011306371260587932, 0.011306555696672244, 0.011306805609924225, 0.011307102746134001, 0.01130743317301118, 0.01130778621493498, 0.0113081536691522, 0.011308529223460135, 0.011308908019742603, 0.011309286324174566, 0.011309661276178886, 0.011310030696035159, 0.01131039293652557, 0.011310746767893339, 0.011311091288176861, 0.011311425852998798, 0.011311750020360313, 0.011312063507072787, 0.011312366154261826, 0.01131265789997723, 0.011312938757393594, 0.01131320879742677, 0.011313468134851533, 0.011313716917204196, 0.011313955315907596, 0.011314183519173897, 0.011314401726333349, 0.01131461014330871, 0.011314808979012039, 0.01131499844248483, 0.011315178740637793, 0.011315350076474601, 0.011315512647706217, 0.011315666645680298, 0.011315812254564265, 0.011315949650732451, 0.011316079002316692, 0.011316200468887415, 0.011316314201238332, 0.011316420341252636, 0.011316519021832776, 0.011316610366879138, 0.011316694491305486, 0.01131677150108135, 0.0113168414932933, 0.011316904556218484, 0.011316960769405061, 0.011317010203755071, 0.011317052921606221, 0.011317088976809636, 0.011317118414801333, 0.011317141272665365, 0.011317157579187402, 0.011317167354897448, 0.011317170612100894, 0.011317168983679793, 0.011317164098534668, 0.011317155957021229, 0.011317144559736118, 0.011317129907522691, 0.011317112001479102, 0.011317090842968844, 0.011317066433633761, 0.011317038775409662, 0.011317007870544646, 0.011316973721620245, 0.01131693633157559, 0.011316895703734765, 0.011316851841837509, 0.011316804750073579, 0.011316754433120996, 0.011316700896188475, 0.011316644145062373, 0.011316584186158543, 0.011316521026579476, 0.011316454674177275, 0.011316385137622897, 0.011316312426482275, 0.011316236551299978, 0.011316157523691164, 0.011316075356442527, 0.011315990063623266, 0.011315901660706985, 0.011315810164705706, 0.011315715594317185, 0.011315617970087051, 0.011315517314587206, 0.011315413652612325, 0.011315307011396464, 0.011315197420851951, 0.011315084913833061, 0.011314969526427372, 0.011314851298277886, 0.01131473027293961, 0.01131460649827464, 0.011314480026890268, 0.011314350916625559, 0.011314219231092076, 0.011314085040275795, 0.011313948421207677, 0.011313809458711941, 0.011313668246241949, 0.011313524886815382, 0.011313379494061894, 0.011313232193398588, 0.011313083123350907, 0.011312932437039265, 0.011312780303855003, 0.011312626911352968, 0.011312472467392575, 0.011312317202564292, 0.011312161372945006, 0.011312005263232809, 0.01131184919032102, 0.011311693507381418, 0.011311538608539687, 0.0113113849342413, 0.011311232977424385, 0.011311083290638731, 0.011310936494277156, 0.011310793286118706, 0.011310654452423931, 0.011310520880872506, 0.011310393575695216, 0.011310273675429409, 0.011310162473822251, 0.011310061444526254, 0.011309972270382251, 0.011309896878275607, 0.011309837480794307, 0.011309796626227834, 0.011309777258845403, 0.011309782791909325, 0.011309817196554146, 0.011309885110547613, 0.011309991972121177, 0.011310144185618924, 0.011310349327812701, 0.011310616406576674, 0.011310956187508329, 0.011311381609465624, 0.011311908317507554, 0.011312555352346281, 0.011313346050604897, 0.011314309232173513, 0.01131548078327114, 0.011316905792014774, 0.011318641466356159, 0.01132076117699086, 0.01132336014523919, 0.011326563581015239, 0.011330538545100769, 0.011335511601969578, 0.011341795705674269, 0.011349832230900211, 0.011360258656078518, 0.011374021312464525, 0.011392570709489572, 0.011418215762477294, 0.011454801951369626, 0.011509096912761368, 0.011593855639880669, 0.011735306707863487, 0.011993881514581403, 0.012531581743007957, 0.013876184786052889, 0.01796534154668851, 0.023861998611339658, 0.0175176336952311, 0.013935004056621609, 0.012682706558106443, 0.012146533714139365, 0.011873179386352777, 0.011715663597676751, 0.011616595289253578, 0.011550102865725956, 0.011503187537435098, 0.0114687490540222, 0.011442644502038676, 0.011422324196563929, 0.011406148585712117, 0.011393023937831287, 0.011382197549016714, 0.011358876917941452, 0.011343819335530254, 0.011333348599028665, 0.011325673331928937, 0.011319845074557846, 0.011315337500510808, 0.011311858213025385, 0.011309258959696282, 0.011307492195769269, 0.011306592029018472, 0.011306669828154255, 0.011307920194181637, 0.011310635450957545, 0.011315227607848555, 0.011322255985414278, 0.011332455588747683, 0.011346754151625487, 0.011366252140692401, 0.01139211862413188, 0.011425333016438605, 0.011466205910079956, 0.011513703148192622, 0.01156483662639538, 0.011614678646748044, 0.011657495750449255, 0.011688715202595849, 0.01170650542660479, 0.011711919828825182, 0.011707791092803163, 0.011697376576993984, 0.011683480248806366, 0.011668146202835728, 0.011652701321916828, 0.011637925243973857, 0.011624225745100253, 0.01161177635850452, 0.011600611663557945, 0.01159068872792939, 0.011581924893177263, 0.011574220148018764, 0.011567469875905134, 0.011561571764150718, 0.01155642925758248, 0.011551953019812929, 0.011548061285003252, 0.011544679624913077, 0.011541740438038737, 0.011539182336156965, 0.01153694952489444, 0.011534991228228923, 0.011533261179402329, 0.011531717184898486, 0.01153032075926883, 0.011529036823885865, 0.011527833460492895, 0.011526681709695749, 0.011525555404707113, 0.011524431031344413, 0.011523287606275747, 0.011522106566665568, 0.011520871665598429, 0.011519568868890257, 0.011518186250081823, 0.011516713881510038, 0.011515143720340367, 0.011513469489295025, 0.011511686552514456, 0.011509791787536115, 0.011507783454767719, 0.011505661066078457, 0.011503425254245568, 0.011501077644992743, 0.011498620733260963, 0.011496057765183832, 0.011493392627019242, 0.011490629742037753, 0.011487773976102631, 0.011484830552413125, 0.011481804975632523, 0.011478702965394822, 0.011475530398985204, 0.011472293262821886, 0.011468997612232733, 0.011465649538917837, 0.011462255145416728, 0.011458820525854367, 0.011455351752217893, 0.011451854865414883, 0.011448335870377774, 0.011444800734506018, 0.011441255388773627, 0.011437705730871842, 0.011434157629803477, 0.011430616931393772, 0.011427089464231835, 0.011423581045605381, 0.011420097487038719, 0.011416644599089547, 0.011413228195103977, 0.011409854093670384, 0.011406528119552983, 0.01140325610292389, 0.011400043876749311, 0.011396897272221354, 0.011393822112162048, 0.011390824202360511, 0.011387909320838795, 0.01138508320507596, 0.011382351537253864, 0.011379719927621931, 0.011377193896111864, 0.011374778852365361, 0.01137248007436991, 0.011370302685927435, 0.011368251633208391, 0.011366331660668631, 0.01136454728662799, 0.011362902778826336, 0.011361402130285848, 0.011360049035814435, 0.011358846869487021, 0.011357798663435614, 0.01135690708826762, 0.011356174435413691, 0.011355602601681211, 0.011355193076259361, 0.011354946930385017, 0.011354864809837415, 0.011354919559519644, 0.011355083696442315, 0.011355356884621335, 0.011355738565371042, 0.011356227959218319, 0.011356824068547332, 0.011357525680940377, 0.011358331373171096, 0.011359239515797965, 0.01136024827829777, 0.011361355634671647, 0.01136255936944984, 0.011363857084015752, 0.01136524620316513, 0.011366723981812819, 0.011368287511756295, 0.011369933728404263, 0.011371659417377276, 0.011373461220888181, 0.011375335643811567, 0.011377279059353897, 0.011379287714239772, 0.011381357733334267, 0.011383485123627562, 0.011385665777514844, 0.011387895475312857, 0.011390169886964167, 0.011392484572891439, 0.011394834983976237, 0.011397216460651808, 0.011399624231114883, 0.011402053408680252, 0.011404498988322426, 0.0114069558424711, 0.011409418716153537, 0.011411882221605035, 0.01141434083250004, 0.011416788877991328, 0.011419220536781925, 0.011421629831494995, 0.011424010623650147, 0.011426356609599448, 0.011428661317823241, 0.011430918108032135, 0.011433120172567273, 0.011435260540632985, 0.01143733208593271, 0.011439327538307556, 0.011441239499993448, 0.011443060467114206, 0.011444782857009549, 0.011446399041954627, 0.011447901389756992, 0.0114492823116134, 0.011450534317468975, 0.011451650078942614, 0.011452622499663587, 0.011453444792606361, 0.011454110563716783, 0.011454613900800052, 0.011454949466298475, 0.011455112592238949, 0.011455099375293289, 0.011454906769588203, 0.01145453267464917, 0.011453976015685057, 0.011453236813341962, 0.011452316240093206, 0.011451216660603582, 0.011449941653716787, 0.011448496014165199, 0.011446885732679353, 0.011445117953860585, 0.011443200911943441, 0.011441143845375812, 0.011438956891940643, 0.011436650966887346, 0.011434237627188358, 0.011431728925548361, 0.011429137258139073, 0.01142647521019355, 0.011423755403563149, 0.011420990350126364, 0.011418192314560517, 0.011415373189474056, 0.011412544385286652, 0.011409716736575377, 0.011406900425919811, 0.011404104925613646, 0.01140133895699787, 0.011398610466635992, 0.011395926618111708, 0.011393293797892929, 0.011390717633475196, 0.011388203021886452, 0.011385754166595118, 0.0113833746209009, 0.011381067335987861, 0.011378834711967035, 0.011376678650415794, 0.011374600607120111, 0.011372601643932277, 0.011370682478860302, 0.011368843533699628, 0.011367084978696687, 0.011365406773894771, 0.011363808706952595, 0.011362290427345573, 0.011360851476958339, 0.011359491317156785, 0.011358209352489441, 0.011357004951214115, 0.011355877462877657, 0.011354826233197717, 0.011353850616505441, 0.011352949986011307, 0.01135212374215234, 0.011351371319270413, 0.011350692190858963, 0.011350085873600136, 0.011349551930397283, 0.011349089972589148, 0.011348699661512782, 0.011348380709562412, 0.011348132880871664, 0.011347955991726194, 0.01134784991079453, 0.011347814559244614], [0.011611876199054657, 0.011611952307822011, 0.011612180547077222, 0.011612560656659904, 0.011613092206230795, 0.011613774600143199, 0.011614607084222199, 0.011615588754412482, 0.011616718567245721, 0.011617995352070601, 0.011619417824982317, 0.011620984604383345, 0.011622694228104817, 0.011624545172017865, 0.011626535870066174, 0.011628664735655761, 0.011630930184345974, 0.011633330657796311, 0.011635864648937155, 0.011638530728350537, 0.011641327571867331, 0.011644253989412899, 0.0116473089551622, 0.011650491639100027, 0.011653801440122085, 0.011657238020858805, 0.011660801344458368, 0.011664491713627972, 0.011668309812306541, 0.011672256750429134, 0.011676334112345574, 0.011680544009579571, 0.011684889138760599, 0.011689372845739164, 0.011693999197111553, 0.011698773060644535, 0.011703700196415218, 0.011708787360884067, 0.011714042426621017, 0.011719474521033063, 0.011725094188235219, 0.0117309135792123, 0.011736946676702312, 0.011743209562879588, 0.011749720740043502, 0.011756501517285026, 0.0117635764797244, 0.011770974061687584, 0.011778727251532228, 0.01178687446433028, 0.011795460630095626, 0.011804538560906394, 0.011814170681854643, 0.011824431240828394, 0.011835409154538453, 0.011847211708784406, 0.011859969418732762, 0.011873842484136745, 0.011889029467680244, 0.011905779119133908, 0.011924406725912724, 0.011945317098428321, 0.011969037483856448, 0.011996265684698351, 0.012027942076375588, 0.012065360311290536, 0.012110342780638078, 0.012165528729200169, 0.012234867297308012, 0.01232450345164326, 0.012444465920616316, 0.012612122095429907, 0.012859914382513297, 0.013254820636051266, 0.013955646378565978, 0.0154246441578048, 0.019550437364606925, 0.04150530750321739, 0.12510664934386664, 0.022699616166307994, 0.014543426640857469, 0.012754382272262624, 0.012133224463331264, 0.011862465345165539, 0.011727664832922724, 0.011654631484378548, 0.011612796525962173, 0.011587952129649127, 0.011572888320600789, 0.011563694671250095, 0.011558137846797182, 0.011554889120488009, 0.011553131638774812, 0.011552349746158845, 0.011552210824606578, 0.011552496498152719, 0.011553061294711807, 0.011553807132989558, 0.011554667214580192, 0.011555595656247728, 0.011556560707123116, 0.011557540249819228, 0.011558518781824113, 0.011559485370569873, 0.011560432257070017, 0.011561353896205174, 0.011562246293626987, 0.011563106545658657, 0.01156393251896573, 0.01156472262693173, 0.011565475673195734, 0.011566190741966201, 0.011566867120978213, 0.011567504247260878, 0.011568101668855163, 0.011568659017689208, 0.011569175990259601, 0.011569652333775595, 0.011570087836130095, 0.011570482318557186, 0.011570835630183907, 0.011571147643928224, 0.011571418253365901, 0.011571647370308375, 0.011571834922916632, 0.011571980854233763, 0.011572085121058276, 0.011572147693107408, 0.01157216855243828, 0.011572165184999509, 0.011572155078336191, 0.011572138219399236, 0.011572114586413175, 0.011572084148836058, 0.011572046867303868, 0.011572002693560152, 0.011571951570371726, 0.011571893431431638, 0.011571828201250821, 0.011571755795040342, 0.011571676118586552, 0.011571589068122038, 0.01157149453019595, 0.011571392381548223, 0.011571282488993043, 0.011571164709318304, 0.011571038889209396, 0.011570904865207371, 0.011570762463713954, 0.011570611501058653, 0.011570451783646884, 0.01157028310821189, 0.011570105262199037, 0.011569918024317184, 0.011569721165300108, 0.011569514448931003, 0.011569297633395339, 0.01156907047304322, 0.011568832720661577, 0.011568584130381032, 0.011568324461373004, 0.011568053482531411, 0.01156777097838243, 0.011567476756528488, 0.011567170657012585, 0.011566852564091791, 0.011566522421041123, 0.011566180248780759, 0.01156582616934322, 0.01156546043549005, 0.011565083468173833, 0.01156469590405336, 0.011564298655953383, 0.011563892990079327, 0.011563480625041797, 0.011563063859444618, 0.011562645737129323, 0.011562230262418078, 0.011561822682254969, 0.011561429858605071, 0.011561060763727066, 0.011560727144359115, 0.011560444420575926, 0.011560232914444118, 0.011560119548007121, 0.011560140218372301, 0.011560343164428779, 0.011560793810013429, 0.011561581845844538, 0.011562831775555272, 0.011564718944183511, 0.011567494465973709, 0.011571525016801608, 0.011577358275985241, 0.011585834310246229, 0.011598282886884083, 0.011616889879510539, 0.011645417150523783, 0.011690717492373827, 0.011766207558446786, 0.01190075263014251, 0.012164972874236131, 0.01276686456617653, 0.01452566583191456, 0.0227431651723193, 0.06094144781174219, 0.023782132546411615, 0.015752030830180567, 0.013716224025723818, 0.012916166319182552, 0.012517789439023288, 0.012288744143164989, 0.012143796223812255, 0.012045588389887398, 0.011975577590125909, 0.011923672729361557, 0.011883979252568977, 0.011852854822960102, 0.011827943488071828, 0.011807662469301617, 0.011790913895771584, 0.01177691517177515, 0.01176509512008945, 0.01175502818689097, 0.011746391500335355, 0.011738936101487463, 0.011732467217566414, 0.011726830451981654, 0.01172190193443011, 0.011717581175865667, 0.011713785805341357, 0.011710447638314506, 0.011707509701650217, 0.011704923955967219, 0.011702649533175475, 0.011700651359561299, 0.011698899071035131, 0.011697366152550216, 0.011696029251710705, 0.011694867629508353, 0.011693862720482028, 0.0116929977814152, 0.011692257612677342, 0.011691628339960897, 0.011691097246809206, 0.011690652650216363, 0.011690283812888438, 0.011689980886625137, 0.011689734881825169, 0.011689537658431694, 0.01168938193380282, 0.011689261303092439, 0.011689170267828803, 0.011689104268541223, 0.01168905971755658, 0.011689034028497827, 0.011689025639578882, 0.011689034028497818, 0.01168905971755658, 0.011689104268541221, 0.011689170267828801, 0.011689261303092438, 0.011689381933802817, 0.011689537658431694, 0.011689734881825174, 0.011689980886625139, 0.011690283812888442, 0.011690652650216363, 0.011691097246809196, 0.01169162833996089, 0.01169225761267734, 0.011692997781415202, 0.011693862720482026, 0.011694867629508349, 0.011696029251710692, 0.011697366152550221, 0.011698899071035135, 0.011700651359561295, 0.011702649533175475, 0.011704923955967221, 0.01170750970165022, 0.011710447638314509, 0.011713785805341359, 0.01171758117586567, 0.011721901934430106, 0.011726830451981651, 0.011732467217566418, 0.011738936101487471, 0.011746391500335353, 0.011755028186890972, 0.011765095120089461, 0.011776915171775157, 0.011790913895771566, 0.011807662469301596, 0.011827943488071839, 0.011852854822960109, 0.011883979252568956, 0.011923672729361538, 0.01197557759012589, 0.012045588389887446, 0.012143796223812283, 0.012288744143164936, 0.012517789439023199, 0.012916166319182402, 0.01371622402572446, 0.015752030830175505, 0.023782132546399326, 0.060941447811744466, 0.022743165172357589, 0.014525665831917651, 0.012766864566177621, 0.012164972874236662, 0.011900752630142557, 0.011766207558446861, 0.011690717492373874, 0.011645417150523821, 0.01161688987951056, 0.011598282886884099, 0.011585834310246228, 0.011577358275985253, 0.011571525016801611, 0.011567494465973712, 0.011564718944183512, 0.011562831775555275, 0.011561581845844533, 0.011560793810013424, 0.011560343164428779, 0.011560140218372298, 0.011560119548007114, 0.011560232914444114, 0.01156044442057593, 0.01156072714435912, 0.011561060763727069, 0.011561429858605069, 0.011561822682254967, 0.011562230262418073, 0.011562645737129324, 0.011563063859444618, 0.011563480625041795, 0.011563892990079323, 0.011564298655953379, 0.011564695904053362, 0.011565083468173833, 0.01156546043549005, 0.011565826169343216, 0.011566180248780759, 0.011566522421041127, 0.011566852564091791, 0.011567170657012587, 0.011567476756528484, 0.011567770978382432, 0.011568053482531412, 0.011568324461373005, 0.011568584130381025, 0.011568832720661575, 0.011569070473043213, 0.011569297633395337, 0.011569514448931005, 0.011569721165300112, 0.011569918024317179, 0.011570105262199036, 0.011570283108211886, 0.011570451783646879, 0.011570611501058658, 0.011570762463713951, 0.01157090486520738, 0.011571038889209403, 0.011571164709318302, 0.011571282488993041, 0.011571392381548223, 0.011571494530195951, 0.011571589068122033, 0.011571676118586552, 0.011571755795040342, 0.011571828201250819, 0.011571893431431637, 0.011571951570371726, 0.011572002693560152, 0.011572046867303872, 0.011572084148836058, 0.011572114586413176, 0.011572138219399234, 0.011572155078336192, 0.011572165184999509, 0.011572168552438275, 0.011572166868907961, 0.01157216181841304, 0.011572153401242621, 0.011572141617882005, 0.011572126469017894, 0.011572107955545734, 0.011572086078579239, 0.011572060839462181, 0.011572032239782535, 0.011572000281389033, 0.011571964966410343, 0.011571926297276913, 0.011571884276745737, 0.011571838907928103, 0.011571790194320735, 0.011571738139840327, 0.011571682748861957, 0.011571624026261499, 0.011571561977462525, 0.011571496608487919, 0.011571427926016781, 0.011571355937446971, 0.011571280650963824, 0.011571202075615685, 0.011571120221396848, 0.011571035099338637, 0.011570946721609403, 0.01157085510162445, 0.011570760254166671, 0.011570662195519226, 0.01157056094361144, 0.011570456518179213, 0.011570348940941689, 0.01157023823579581, 0.011570124429030739, 0.011570007549564455, 0.011569887629204894, 0.011569764702938516, 0.011569638809249473, 0.011569509990472905, 0.011569378293186492, 0.011569243768644741, 0.011569106473261334, 0.011568966469145389, 0.01156882382469835, 0.011568678615279264, 0.011568530923947155, 0.011568380842290543, 0.011568228471355638, 0.011568073922686408, 0.011567917319491746, 0.011567758797957196, 0.011567598508721652, 0.011567436618542272, 0.011567273312175056, 0.011567108794502498, 0.011566943292945497, 0.011566777060202335, 0.011566610377365547, 0.011566443557475844, 0.011566276949583069, 0.011566110943396766, 0.011565945974624112, 0.011565782531111526, 0.011565621159928407, 0.011565462475558631, 0.011565307169398607, 0.0115651560208011, 0.011565009909954059, 0.01156486983294522, 0.011564736919439714, 0.011564612453493259, 0.011564497898142755, 0.011564394924566309, 0.011564305446794649, 0.011564231663197436, 0.011564176106277182, 0.011564141702700828, 0.011564131846014361, 0.011564150485156861, 0.011564202232771631, 0.0115642924984771, 0.011564427653813155, 0.011564615237665022, 0.01156486421379486, 0.011565185295980863, 0.011565591361609819, 0.011566097982034252, 0.011566724108547232, 0.011567492967895159, 0.011568433243064266, 0.011569580647107473, 0.011570980045519031, 0.011572688354993116, 0.011574778557940176, 0.011577345347494541, 0.011580513199348533, 0.011584448129612979, 0.011589375178548803, 0.011595605014815906, 0.011603575482530271, 0.011613918422849711, 0.011627570827009685, 0.011645967066052719, 0.0116713867852889, 0.011707619264353699, 0.011761316591191921, 0.011844975369868045, 0.011984181920545775, 0.012237538018263534, 0.01276082043407469, 0.014055669756805051, 0.017956218280145854, 0.024093300597738246, 0.01804631297638341, 0.014297095477222865, 0.012985306284222372, 0.01242702532258759, 0.012143758410736075, 0.011981092028733733, 0.011879040430079606, 0.011810673851765782, 0.011762505557920621, 0.011727187563611562, 0.011700441173687402, 0.011679637525497631, 0.011663088482239644, 0.011649669204951706, 0.011621516583599976, 0.01160392745165054, 0.011591995555536737, 0.011583419994522906, 0.011577014635635496, 0.011572132475783163, 0.011568416329336735, 0.011565682387318289, 0.011563864284513755, 0.011562987950686044, 0.01156316430418225, 0.0115645940709765, 0.011567582253033976, 0.011572560927269228, 0.011580118445103826, 0.011591029980598201, 0.011606276955298143, 0.011627028522965403, 0.011654535410515577, 0.011689861002701956, 0.011733375106460253, 0.011784028124610451, 0.011838676658719963, 0.01189205603240311, 0.01193795877140896, 0.011971357213212021, 0.011990170617308015, 0.01199549037555857, 0.011990403902041532, 0.011978498190393533, 0.01196286914257364, 0.011945768072595918, 0.011928645661756733, 0.011912342973417448, 0.011897289438004428, 0.011883657767371322, 0.011871470519293482, 0.011860668180878664, 0.011851150556008942, 0.011842800920691864, 0.011835499530983798, 0.011829130751201587, 0.011823586459590956, 0.011818767344603916, 0.011814583053350057, 0.011810951756035856, 0.011807799450771385, 0.011805059190418818, 0.011802670328846944, 0.011800577834635971, 0.011798731691820231, 0.011797086391189843, 0.011795600506939076, 0.011794236349039321, 0.011792959679845935, 0.011791739483065033, 0.011790547773687189, 0.011789359438470568, 0.011788152097804074, 0.011786905981164402, 0.011785603809807655, 0.011784230681743698, 0.011782773955381, 0.011781223129462892, 0.011779569718016115, 0.011777807119975038, 0.011775930483919728, 0.011773936568965937, 0.01177182360327445, 0.011769591141914403, 0.011767239925937464, 0.011764771744515711, 0.011762189301889568, 0.011759496090686689, 0.011756696272932382, 0.011753794569798338, 0.011750796160849255, 0.011747706593262748, 0.01174453170122903, 0.011741277535493684, 0.011737950302794814, 0.011734556314769133, 0.011731101945760054, 0.011727593598855099, 0.01172403767940561, 0.011720440575237457, 0.011716808642741647, 0.011713148198035187, 0.01170946551240102, 0.011705766811246902, 0.011702058275864406, 0.01169834604731603, 0.011694636231830216, 0.011690934907136956, 0.011687248129230216, 0.011683581939096204, 0.011679942368997231, 0.011676335447949987, 0.011672767206083698, 0.011669243677607567, 0.011665770902159599, 0.01166235492434857, 0.011659001791340223, 0.011655717548375733, 0.011652508232147854, 0.011649379861995426, 0.01164633842891352, 0.011643389882411509, 0.011640540115286934, 0.011637794946418194, 0.011635160101713947, 0.011632641193390775, 0.011630243697783798, 0.011627972931925929, 0.011625834029160479, 0.011623831914077428, 0.011621971277086461, 0.011620256548957084, 0.01161869187566995, 0.011617281093929826, 0.011616027707692406, 0.011614934866051361, 0.01161400534281966, 0.011613241518120576, 0.011612645362277099, 0.011612218422257174, 0.011611961810893646, 0.011611876199054657, 0.011611933276360124, 0.011612104391706558, 0.011612389195788112, 0.011612787107769621, 0.011613297317280056, 0.011613918787166652, 0.011614650256973608, 0.011615490247099621, 0.011616437063579539, 0.011617488803427261, 0.011618643360469014, 0.011619898431589835, 0.01162125152331004, 0.011622699958603466, 0.011624240883865733, 0.011625871275937496, 0.011627587949086355, 0.011629387561850025, 0.011631266623643959, 0.011633221501038177, 0.011635248423610458, 0.011637343489287223, 0.011639502669087793, 0.011641721811194444, 0.011643996644277663, 0.01164632278001463, 0.011648695714749344, 0.01165111083025416, 0.011653563393565696, 0.011656048555883331, 0.011658561350535144, 0.011661096690035698, 0.01166364936228155, 0.011666214025954313, 0.011668785205228519, 0.011671357283911445, 0.011673924499175257, 0.011676480935078469, 0.011679020516113574, 0.011681537001060584, 0.011684023977472058, 0.011686474857163304, 0.011688882873130895, 0.011691241078372517, 0.011693542347129774, 0.011695779379120827, 0.011697944707369285, 0.011700030710266594, 0.011702029628523465, 0.011703933587667933, 0.011705734626728862, 0.011707424733699144, 0.011708995888298214, 0.011710440112443788, 0.011711749528694141, 0.011712916426732285, 0.011713933337730152, 0.011714793116156108, 0.0117154890282757, 0.011716014846251243, 0.01171636494638063, 0.011716534409644373, 0.011716519122370723, 0.011716315874502413, 0.011715922452680046, 0.011715337725169075, 0.011714561715575927, 0.011713595662342213, 0.01171244206119172, 0.011711104688039854, 0.011709588600358929, 0.011707900115612515, 0.011706046766106492, 0.011704037230419333, 0.011701881242428522, 0.011699589479796541, 0.01169717343456873, 0.011694645269219343, 0.011692017662019331, 0.011689303645957961, 0.011686516445611131, 0.01168366931630572, 0.011680775389691207, 0.011677847529417964, 0.011674898200068231, 0.011671939351831069, 0.011668982322698692, 0.011666037759232974, 0.011663115556245966, 0.011660224815092504, 0.0116573738197111, 0.011654570029089534, 0.011651820084482754, 0.011649129829473482, 0.011646504340835263, 0.01164394796812203, 0.011641464379954752, 0.011639056615086619, 0.011636727136488908, 0.011634477886893202, 0.011632310344437987, 0.011630225577286933, 0.011628224296301806, 0.011626306905058108, 0.011624473546679521, 0.011622724147135926, 0.011621058454796411, 0.011619476076152872, 0.011617976507732672, 0.011616559164300922, 0.011615223403516851, 0.011613968547255498, 0.01161279389983895, 0.011611698763441845, 0.011610682450946094, 0.011609744296522105, 0.01160888366420907, 0.011608099954757502, 0.011607392610983588, 0.011606761121868722, 0.011606205025619161, 0.011605723911881357, 0.011605317423287728, 0.011604985256487288, 0.011604727162794108, 0.011604542948565893, 0.011604432475404217, 0.011604395660247045], [0.011853416757641124, 0.011853495889145837, 0.011853733194011642, 0.011854128404320414, 0.011854681076958671, 0.011855390598721482, 0.011856256193415697, 0.011857276930922174, 0.011858451738166522, 0.011859779411939659, 0.011861258633503279, 0.011862887984910368, 0.011864665966968453, 0.011866591018773754, 0.011868661538746546, 0.011870875907103725, 0.011873232509712979, 0.011875729763285039, 0.011878366141874885, 0.011881140204682466, 0.011884050625165727, 0.011887096221506343, 0.011890275988500074, 0.011893589130981654, 0.011897035098937305, 0.011900613624508699, 0.011904324761151563, 0.011908168925280713, 0.011912146940814557, 0.011916260087127649, 0.011920510151032637, 0.011924899483548964, 0.011929431062377337, 0.011934108561196016, 0.011938936427133826, 0.011943919968068447, 0.011949065451759255, 0.011954380219273024, 0.011959872815720465, 0.011965553142024056, 0.011971432632325897, 0.011977524462772126, 0.011983843798852532, 0.01199040809032908, 0.01199723742518804, 0.012004354957179759, 0.012011787425616545, 0.012019565791527992, 0.01202772602150726, 0.01203631006030265, 0.012045367046389668, 0.012054954842805707, 0.012065141980500342, 0.012076010146398567, 0.012087657397884737, 0.012100202356505522, 0.01211378973726485, 0.012128597723198836, 0.012144847925818715, 0.012162819026397348, 0.012182865748386323, 0.012205445701469876, 0.012231158101271017, 0.012260800842949402, 0.012295456722633586, 0.012336627397767391, 0.012386448338023801, 0.012448046874054592, 0.012526165338335397, 0.012628303566363429, 0.012766949716443585, 0.012964287880124601, 0.013263159971194694, 0.01375611437671561, 0.014677432448351034, 0.016783441647948979, 0.023813677251716969, 0.081108111970599903, 0.054484967206495732, 0.018247224967939894, 0.013884989159444867, 0.01270125242317972, 0.01224791498656148, 0.012039343815254257, 0.011932114106392746, 0.01187289701596796, 0.011838633090281559, 0.011818231037641793, 0.011805918805251796, 0.011798506217325125, 0.011794145261477975, 0.011791724807011529, 0.011790556575481446, 0.011790203871778289, 0.01179038420610746, 0.011790911957739481, 0.011791663603841306, 0.011792556099577219, 0.01179353314873024, 0.011794556328808235, 0.011795599268225548, 0.011796643778513728, 0.011797677259015068, 0.011798690941129784, 0.011799678692843742, 0.011800636200722881, 0.01180156040818249, 0.011802449128820069, 0.011803300779896957, 0.011804114198556863, 0.011804888515139667, 0.01180562306593402, 0.01180631733316923, 0.011806970903799351, 0.011807583441224338, 0.011808154665891045, 0.011808684341966372, 0.011809172268145061, 0.011809618271260551, 0.011810022201789335, 0.011810383930631987, 0.011810703346757052, 0.011810980355433731, 0.011811214876874766, 0.011811406845175672, 0.011811556207479822, 0.011811662923327061, 0.011811726964161823, 0.011811748312987659, 0.011811744854321942, 0.011811734473775627, 0.011811717157691626, 0.01181169288327614, 0.011811661618550994, 0.011811623322287277, 0.011811577943920876, 0.011811525423450533, 0.01181146569131932, 0.011811398668280664, 0.011811324265250405, 0.011811242383146682, 0.011811152912720077, 0.011811055734376703, 0.011810950717998144, 0.011810837722762446, 0.011810716596971919, 0.011810587177894504, 0.011810449291627318, 0.011810302752992823, 0.011810147365480502, 0.011809982921250257, 0.011809809201216933, 0.011809625975240559, 0.01180943300245217, 0.011809230031752313, 0.011809016802528135, 0.011808793045645664, 0.01180855848478779, 0.011808312838225121, 0.011808055821128547, 0.011807787148558879, 0.011807506539303084, 0.011807213720769281, 0.011806908435207484, 0.01180659044759241, 0.011806259555594242, 0.011805915602177874, 0.011805558491520048, 0.01180518820912701, 0.011804804847288079, 0.011804408637332588, 0.011803999990597171, 0.011803579550594865, 0.011803148259661124, 0.011802707444409135, 0.011802258925764699, 0.011801805161322695, 0.011801349430493466, 0.011800896076713844, 0.011800450826363173, 0.011800021211670382, 0.011799617135917376, 0.011799251635321228, 0.011798941915749088, 0.01179871077807272, 0.011798588600284036, 0.011798616128647249, 0.011798848462984271, 0.011799360835113916, 0.011800257131788243, 0.011801682708227066, 0.011803844070304794, 0.011807039849798926, 0.011811710916846149, 0.011818524061287458, 0.011828516948118348, 0.011843360226987287, 0.011865856242354421, 0.011900948002567614, 0.011957920562210423, 0.012055683654910745, 0.012237121324680146, 0.012615232408714674, 0.013562495349431844, 0.016851284177099524, 0.037488354072324967, 0.042194242424574646, 0.019048749018358551, 0.014895167177657584, 0.013569450363546492, 0.01298100579567554, 0.012666045042814674, 0.012476158817937483, 0.012351908194128897, 0.012265616167327846, 0.012202922334990308, 0.012155742512092735, 0.012119226335112811, 0.012090310937713991, 0.01206697928034426, 0.012047855629439434, 0.012031973325437963, 0.012018635565149923, 0.012007328794488176, 0.011997667073257882, 0.011989355318296955, 0.011982164409674924, 0.011975913955273206, 0.011970460119537629, 0.011965686873896422, 0.011961499604487542, 0.011957820372903787, 0.011954584355018527, 0.011951737132076595, 0.011949232607031259, 0.011947031385700682, 0.011945099507922448, 0.0119434074455767, 0.011941929306664713, 0.01194064220053394, 0.011939525730788408, 0.011938561590729485, 0.011937733242229477, 0.011937025663361002, 0.011936425153319366, 0.0119359191854869, 0.011935496301120934, 0.011935146037268111, 0.011934858883251735, 0.011934626260552954, 0.011934440521208366, 0.011934294960055866, 0.011934183836352837, 0.011934102400524321, 0.011934046922124089, 0.011934014715537932, 0.011934004160541429, 0.011934014715537926, 0.011934046922124087, 0.011934102400524326, 0.011934183836352835, 0.011934294960055864, 0.011934440521208359, 0.011934626260552954, 0.011934858883251739, 0.011935146037268118, 0.011935496301120936, 0.011935919185486903, 0.011936425153319359, 0.011937025663361002, 0.011937733242229477, 0.011938561590729488, 0.011939525730788403, 0.011940642200533935, 0.011941929306664703, 0.011943407445576709, 0.01194509950792245, 0.011947031385700675, 0.011949232607031259, 0.011951737132076595, 0.011954584355018533, 0.01195782037290379, 0.011961499604487547, 0.011965686873896425, 0.011970460119537623, 0.011975913955273202, 0.011982164409674926, 0.011989355318296962, 0.011997667073257886, 0.012007328794488183, 0.012018635565149932, 0.012031973325437971, 0.012047855629439412, 0.012066979280344239, 0.012090310937714002, 0.012119226335112823, 0.012155742512092709, 0.012202922334990287, 0.012265616167327818, 0.012351908194128956, 0.012476158817937523, 0.0126660450428146, 0.01298100579567542, 0.01356945036354627, 0.014895167177658672, 0.019048749018346946, 0.042194242424542935, 0.037488354072323524, 0.016851284177112846, 0.013562495349433382, 0.01261523240871531, 0.012237121324680496, 0.012055683654910776, 0.01195792056221048, 0.011900948002567651, 0.011865856242354447, 0.011843360226987301, 0.011828516948118357, 0.011818524061287455, 0.011811710916846158, 0.011807039849798931, 0.011803844070304796, 0.011801682708227072, 0.011800257131788245, 0.011799360835113917, 0.011798848462984264, 0.011798616128647252, 0.011798588600284035, 0.011798710778072713, 0.01179894191574909, 0.011799251635321228, 0.011799617135917382, 0.011800021211670387, 0.011800450826363169, 0.011800896076713842, 0.011801349430493465, 0.011801805161322695, 0.011802258925764701, 0.011802707444409135, 0.011803148259661124, 0.011803579550594863, 0.011803999990597178, 0.011804408637332588, 0.011804804847288079, 0.011805188209127012, 0.011805558491520044, 0.011805915602177877, 0.011806259555594245, 0.011806590447592412, 0.011806908435207481, 0.011807213720769281, 0.011807506539303084, 0.011807787148558884, 0.011808055821128543, 0.011808312838225119, 0.011808558484787787, 0.011808793045645668, 0.011809016802528138, 0.011809230031752316, 0.011809433002452163, 0.011809625975240556, 0.011809809201216928, 0.011809982921250255, 0.011810147365480504, 0.011810302752992819, 0.01181044929162732, 0.011810587177894506, 0.011810716596971922, 0.011810837722762446, 0.011810950717998144, 0.011811055734376703, 0.011811152912720072, 0.011811242383146684, 0.011811324265250403, 0.011811398668280664, 0.01181146569131932, 0.011811525423450533, 0.011811577943920876, 0.01181162332228728, 0.011811661618550993, 0.011811692883276138, 0.011811717157691625, 0.011811734473775631, 0.011811744854321942, 0.01181174831298765, 0.011811746583850896, 0.011811741396520038, 0.011811732751234247, 0.011811720648395268, 0.011811705088572199, 0.011811686072508159, 0.011811663601128957, 0.011811637675553868, 0.011811608297108457, 0.011811575467339719, 0.011811539188033512, 0.011811499461234429, 0.011811456289268352, 0.011811409674767747, 0.011811359620699931, 0.011811306130398529, 0.011811249207598412, 0.011811188856474216, 0.011811125081683031, 0.011811057888411247, 0.011810987282426275, 0.011810913270133318, 0.011810835858637727, 0.011810755055813561, 0.01181067087037879, 0.011810583311977832, 0.011810492391272178, 0.011810398120039908, 0.011810300511284908, 0.011810199579356834, 0.011810095340083038, 0.011809987810913481, 0.011809877011080225, 0.011809762961772965, 0.011809645686332365, 0.011809525210463181, 0.011809401562469377, 0.01180927477351364, 0.011809144877904253, 0.011809011913412319, 0.011808875921622976, 0.011808736948324695, 0.011808595043941076, 0.011808450264010494, 0.011808302669719401, 0.011808152328496012, 0.011807999314672055, 0.011807843710221292, 0.011807685605584827, 0.011807525100594671, 0.011807362305508766, 0.011807197342172565, 0.011807030345324661, 0.011806861464066691, 0.011806690863520845, 0.011806518726702141, 0.011806345256637044, 0.011806170678765061, 0.011805995243666562, 0.01180581923016694, 0.011805642948876406, 0.011805466746235118, 0.011805291009145803, 0.011805116170291565, 0.011804942714254543, 0.011804771184573602, 0.011804602191906028, 0.011804436423491414, 0.011804274654156066, 0.011804117759146212, 0.011803966729139435, 0.011803822687860116, 0.01180368691281946, 0.011803560859819399, 0.011803446192009379, 0.011803344814473923, 0.011803258915569419, 0.011803191016536029, 0.011803144031306289, 0.011803121338944142, 0.011803126871815754, 0.011803165223469225, 0.011803241781358656, 0.011803362891090685, 0.011803536060944045, 0.011803770218220955, 0.011804076032829553, 0.011804466328800729, 0.011804956611845593, 0.011805565751508906, 0.011806316871399535, 0.011807238522578275, 0.011808366246874645, 0.01180974468410724, 0.011811430448640053, 0.011813496110806669, 0.011816035791671306, 0.011819173157012464, 0.011823073051868506, 0.011827958784119057, 0.011834138394959727, 0.011842045632223203, 0.011852305751414835, 0.011865844781189079, 0.011884078101462515, 0.011909250893653096, 0.01194508635636404, 0.011998101171397452, 0.012080490803937123, 0.012217098951678817, 0.012464434847981078, 0.012971261522719718, 0.014210326333923303, 0.017900614351589215, 0.024252513579454207, 0.018612253649826719, 0.014664955513271426, 0.013280889644828035, 0.012696112055374967, 0.012401139408026642, 0.012232472083590695, 0.01212698698656162, 0.012056487809931758, 0.012006909055743097, 0.011970611273434791, 0.011943157189785438, 0.011921826094561582, 0.011904873844378171, 0.011870374440804386, 0.011849612874119699, 0.011835914783561002, 0.011826283929409822, 0.011819221917446112, 0.011813927698898427, 0.011809963209757451, 0.011807101024202443, 0.011805252010273303, 0.011804432329122941, 0.011804752417968762, 0.011806420339668828, 0.011809756185165093, 0.011815215847426784, 0.01182342206288785, 0.011835197458241131, 0.011851586560676098, 0.011873838433596583, 0.011903296770202776, 0.011941115786629779, 0.011987718073225521, 0.012042006284089286, 0.01210061398330876, 0.012157844164851699, 0.012206927796046617, 0.012242349596253985, 0.012261821393381004, 0.012266562363006038, 0.012260006387550672, 0.012246133629656677, 0.012228362469583462, 0.012209158228566544, 0.012190089559218752, 0.012172048370254355, 0.012155474645922338, 0.012140530454065004, 0.012127218291430753, 0.012115455740508752, 0.012105120191592355, 0.012096074482093259, 0.012088180900067053, 0.012081308317149925, 0.012075335380353758, 0.012070151517916104, 0.012065656790689969, 0.012061761184242301, 0.012058383677509155, 0.012055451271383303, 0.012052898071872048, 0.012050664471451825, 0.012048696443438627, 0.01204694494838705, 0.012045365443296444, 0.012043917480550049, 0.01204256438217818, 0.012041272975133098, 0.012040013374163171, 0.012038758800211637, 0.012037485423826013, 0.012036172224717924, 0.012034800860274848, 0.012033355537436069, 0.012031822883860233, 0.012030191815694619, 0.012028453400480737, 0.012026600714775059, 0.012024628696917299, 0.012022533996037265, 0.012020314818859578, 0.012017970776155998, 0.012015502730825153, 0.012012912649572821, 0.012010203460047105, 0.012007378915079536, 0.012004443465420631, 0.012001402142061466, 0.011998260448921997, 0.011995024266380737, 0.011991699765832206, 0.01198829333519867, 0.011984811515097737, 0.011981260945180764, 0.011977648320009084, 0.011973980353725452, 0.011970263752702881, 0.0119665051953095, 0.011962711317910844, 0.011958888706236364, 0.011955043891259879, 0.011951183348780094, 0.011947313501933803, 0.011943440725926771, 0.011939571354324361, 0.011935711686301712, 0.011931867994311705, 0.011928046531685782, 0.011924253539737313, 0.011920495253989879, 0.011916777909202168, 0.011913107742908331, 0.0119094909972371, 0.011905933918815448, 0.011902442756603137, 0.011899023757543708, 0.011895683159956063, 0.011892427184627819, 0.011889262023609343, 0.011886193826744109, 0.011883228686007644, 0.011880372617763941, 0.011877631543084397, 0.011875011266309313, 0.011872517452066213, 0.011870155600991687, 0.011867931024433332, 0.011865848818435287, 0.011863913837334187, 0.011862130667310587, 0.011860503600255038, 0.011859036608314635, 0.011857733319487734, 0.011856596994628304, 0.011855630506208678, 0.011854836319169868, 0.011854216474160767, 0.011853772573435128, 0.011853505769634539, 0.011853416757641124, 0.011853476101806516, 0.011853654013461881, 0.011853950130504588, 0.011854363850823568, 0.011854894334370116, 0.011855540506018628, 0.011856301059179579, 0.011857174460117055, 0.011858158952913518, 0.011859252565016217, 0.011860453113291281, 0.011861758210504619, 0.011863165272142913, 0.01186467152348231, 0.011866274006809041, 0.011867969588692399, 0.011869754967209599, 0.011871626679020291, 0.011873581106189669, 0.011875614482660295, 0.011877722900275374, 0.011879902314260544, 0.011882148548075712, 0.0118844572975554, 0.011886824134263427, 0.011889244507996569, 0.011891713748382788, 0.011894227065531318, 0.011896779549705737, 0.011899366170007088, 0.011901981772071458, 0.011904621074806975, 0.011907278666217656, 0.011909948998386705, 0.011912626381720814, 0.01191530497858833, 0.011917978796519397, 0.011920641681174819, 0.011923287309332474, 0.011925909182185746, 0.011928500619296957, 0.011931054753599941, 0.011933564527898588, 0.011936022693361376, 0.011938421810563793, 0.011940754253679128, 0.011943012218460551, 0.011945187734690846, 0.011947272683796072, 0.011949258822322718, 0.011951137811958284, 0.011952901256728944, 0.011954540747929223, 0.01195604791722254, 0.0119574144981941, 0.011958632396435968, 0.011959693767996098, 0.011960591105731045, 0.011961317332768234, 0.011961865901917217, 0.011962230899480279, 0.01196240715151729, 0.011962390330237256, 0.011962177057842201, 0.011961765004863423, 0.011961152979831855, 0.011960341007039103, 0.011959330389194894, 0.011958123751987673, 0.011956725067915258, 0.011955139657271413, 0.011953374164837334, 0.011951436511611723, 0.01194933582178183, 0.011947082326047022, 0.011944687243304948, 0.011942162643545275, 0.011939521295516736, 0.01193677650329592, 0.011933941936257067, 0.011931031457101475, 0.011928058952547275, 0.011925038171016146, 0.011921982571205924, 0.011918905184842744, 0.011915818496205479, 0.011912734340254947, 0.011909663820427298, 0.011906617246406039, 0.011903604091507312, 0.011900632968724503, 0.011897711623998965, 0.011894846944923099, 0.011892044982839795, 0.011889310986172321, 0.011886649442789107, 0.011884064129263537, 0.011881558165011977, 0.011879134069467376, 0.011876793820653314, 0.011874538913749755, 0.011872370418474181, 0.011870289034329547, 0.011868295142986252, 0.011866388857262657, 0.011864570066345035, 0.01186283847704064, 0.011861193650986769, 0.011859635037845203, 0.011858162004596134, 0.011856773861111234, 0.0118554698822334, 0.01185424932662396, 0.011853111452658589, 0.011852055531662901, 0.011851080858780358, 0.011850186761759512, 0.01184937260793706, 0.011848637809678684, 0.011847981828522178, 0.011847404178247792, 0.011846904427080335, 0.011846482199205657, 0.011846137175762543, 0.011845869095449055, 0.011845677754860113, 0.011845563008651956, 0.011845524769607031], [0.012088909677036927, 0.012088991868766221, 0.012089238351755018, 0.012089648850481031, 0.012090222909317336, 0.012090959897875873, 0.012091859018444746, 0.012092919315477894, 0.01209413968708508, 0.012095518898461874, 0.01209705559719319, 0.012098748330358676, 0.012100595563366364, 0.012102595700441622, 0.012104747106701071, 0.012107048131747584, 0.012109497134731827, 0.012112092510838746, 0.012114832719173577, 0.012117716312042909, 0.012120741965650718, 0.012123908512259323, 0.012127214973899313, 0.012130660597753912, 0.012134244893390191, 0.012137967672064943, 0.012141829088397798, 0.012145829684779196, 0.012149970438969931, 0.01215425281545382, 0.012158678821229106, 0.012163251066874225, 0.012167972833901815, 0.012172848149632969, 0.012177881871088373, 0.012183079779718638, 0.012188448689197476, 0.012193996569001227, 0.012199732687122461, 0.012205667776050561, 0.012211814227146294, 0.012218186319802525, 0.012224800493403534, 0.012231675672184564, 0.01223883365580321, 0.012246299591974593, 0.012254102552180355, 0.012262276237636739, 0.012270859850960939, 0.012279899180101488, 0.012289447956239414, 0.012299569568176294, 0.012310339244636695, 0.012321846856553062, 0.012334200549258448, 0.012347531498024278, 0.012362000202741315, 0.012377804919782111, 0.012395193105388931, 0.012414477172119883, 0.012436056534664281, 0.012460449012678964, 0.012488336470114958, 0.012520632667250205, 0.012558586769966086, 0.012603945978881762, 0.012659219879841963, 0.012728127487275918, 0.012816389320034389, 0.012933211230064691, 0.013094259158629197, 0.013328148311320381, 0.013692218060524456, 0.014316847590917814, 0.015558208344280733, 0.018720783288511508, 0.032106493329293134, 0.16440456810436402, 0.030674628886161948, 0.016133388716920251, 0.013544856132441059, 0.012725123744078536, 0.012386026256425835, 0.012222991866900682, 0.012136935990019845, 0.012088687257099842, 0.012060579640959024, 0.012043854330947873, 0.012033849544702005, 0.012027944968523031, 0.012024603467154638, 0.012022892281266091, 0.012022229923620073, 0.012022246002816732, 0.012022700508752232, 0.012023435790744767, 0.012024347187399961, 0.012025364641553161, 0.012026440964995997, 0.012027544225094167, 0.012028652738947463, 0.012029751746084782, 0.012030831177741343, 0.012031884151442329, 0.012032905950232294, 0.012033893328405857, 0.012034844038603457, 0.012035756509692613, 0.01203662962767464, 0.012037462587093144, 0.012038254790690404, 0.012039005782034141, 0.012039715200607048, 0.012040382752128946, 0.012041008189141491, 0.01204159129844821, 0.012042131893084113, 0.01204262980723738, 0.012043084893062926, 0.012043497018683838, 0.012043866066920733, 0.012044191934455347, 0.012044474531246798, 0.012044713780092881, 0.012044909616277685, 0.012045061987276822, 0.012045170852510121, 0.012045236183141586, 0.012045257961930882, 0.012045254420612366, 0.012045243791928433, 0.012045226061682993, 0.012045201206179496, 0.012045169192166524, 0.012045129976761909, 0.01204508350735577, 0.012045029721492902, 0.012044968546735218, 0.012044899900505054, 0.012044823689910469, 0.012044739811553903, 0.012044648151326123, 0.012044548584187516, 0.012044440973939908, 0.012044325172992259, 0.012044201022124985, 0.012044068350258431, 0.012043926974232672, 0.012043776698607334, 0.012043617315492406, 0.012043448604423638, 0.01204327033229915, 0.012043082253398224, 0.012042884109507919, 0.012042675630189553, 0.012042456533224537, 0.012042226525288741, 0.012041985302916478, 0.012041732553829917, 0.01204146795872859, 0.012041191193656991, 0.012040901933098029, 0.012040599853977371, 0.012040284640811571, 0.012039955992293443, 0.012039613629685881, 0.012039257307495324, 0.012038886827024999, 0.012038502053575767, 0.012038102938280629, 0.012037689545845675, 0.012037262089848056, 0.012036820977743366, 0.012036366868404711, 0.012035900745917236, 0.012035424014573167, 0.012034938621680421, 0.012034447217094867, 0.012033953361578012, 0.012033461800559111, 0.012032978826225393, 0.01203251275995517, 0.012032074600287561, 0.012031678900973569, 0.012031344972456707, 0.01203109854364847, 0.012030974087677965, 0.012031018119698911, 0.012031293941149003, 0.012031888575440849, 0.012032923090683743, 0.012034568275130055, 0.01203706898559874, 0.01204078295006198, 0.012046244443046807, 0.012054272363332005, 0.012066161021764381, 0.012084032871874017, 0.012111527672448628, 0.012155242487661958, 0.012228002405638929, 0.012357125410920312, 0.012608479438595948, 0.013171779230771188, 0.014767094704180857, 0.02177307892453571, 0.063179479893714113, 0.027073307929066641, 0.016862618218471979, 0.014446269406627214, 0.013529055520879159, 0.013081029076948312, 0.012826481239500039, 0.012666669701736119, 0.012558998121569227, 0.012482558687786862, 0.012426067441606781, 0.01238297479548737, 0.012349253823266416, 0.012322310221826482, 0.012300406758427959, 0.012282341660723058, 0.0122672601786249, 0.012254539633645624, 0.012243716821535279, 0.012234440757944481, 0.012226441093380953, 0.01221950649965314, 0.012213469566313693, 0.012208196045543811, 0.012203577062035729, 0.012199523382623595, 0.012195961141360066, 0.012192828609265424, 0.012190073724908369, 0.012187652186742986, 0.012185525965681657, 0.012183662136061146, 0.012182031950893974, 0.012180610106928729, 0.012179374159088608, 0.012178304053996298, 0.012177381759659069, 0.012176590973753237, 0.012175916896852676, 0.012175346059770156, 0.012174866196198803, 0.012174466153258075, 0.012174135833523189, 0.01217386616277538, 0.01217364907816005, 0.012173477531770199, 0.012173345504961996, 0.012173248029021262, 0.012173181208183276, 0.012173142241497775, 0.01217312944064022, 0.012173142241497769, 0.012173181208183274, 0.012173248029021267, 0.012173345504961998, 0.012173477531770196, 0.012173649078160046, 0.012173866162775377, 0.012174135833523192, 0.01217446615325808, 0.012174866196198808, 0.012175346059770159, 0.012175916896852672, 0.012176590973753234, 0.012177381759659068, 0.012178304053996303, 0.012179374159088605, 0.012180610106928724, 0.012182031950893962, 0.012183662136061152, 0.012185525965681661, 0.012187652186742977, 0.012190073724908369, 0.012192828609265426, 0.012195961141360066, 0.0121995233826236, 0.012203577062035727, 0.012208196045543816, 0.012213469566313683, 0.012219506499653133, 0.012226441093380955, 0.012234440757944488, 0.012243716821535276, 0.012254539633645631, 0.012267260178624909, 0.012282341660723069, 0.012300406758427942, 0.012322310221826458, 0.012349253823266432, 0.012382974795487384, 0.01242606744160675, 0.012482558687786827, 0.012558998121569199, 0.012666669701736185, 0.012826481239500092, 0.013081029076948218, 0.013529055520878963, 0.014446269406626867, 0.016862618218474283, 0.027073307929033227, 0.06317947989373475, 0.021773078924535588, 0.014767094704186811, 0.013171779230772025, 0.012608479438596349, 0.012357125410920555, 0.01222800240563896, 0.012155242487662008, 0.012111527672448661, 0.012084032871874038, 0.012066161021764395, 0.012054272363332015, 0.012046244443046807, 0.012040782950061989, 0.012037068985598746, 0.012034568275130053, 0.012032923090683746, 0.012031888575440849, 0.012031293941148997, 0.01203101811969891, 0.012030974087677967, 0.01203109854364847, 0.012031344972456701, 0.012031678900973569, 0.012032074600287568, 0.012032512759955176, 0.012032978826225397, 0.012033461800559113, 0.012033953361578011, 0.01203444721709486, 0.012034938621680423, 0.012035424014573174, 0.012035900745917233, 0.012036366868404707, 0.012036820977743362, 0.012037262089848058, 0.012037689545845673, 0.012038102938280634, 0.012038502053575765, 0.012038886827024996, 0.012039257307495324, 0.012039613629685883, 0.012039955992293442, 0.012040284640811567, 0.012040599853977372, 0.012040901933098033, 0.012041191193656995, 0.012041467958728585, 0.012041732553829917, 0.012041985302916475, 0.012042226525288743, 0.012042456533224543, 0.012042675630189559, 0.012042884109507912, 0.012043082253398217, 0.012043270332299148, 0.012043448604423636, 0.012043617315492408, 0.012043776698607331, 0.012043926974232675, 0.012044068350258438, 0.012044201022124987, 0.012044325172992256, 0.01204444097393991, 0.012044548584187523, 0.01204464815132612, 0.012044739811553906, 0.012044823689910467, 0.012044899900505052, 0.012044968546735219, 0.012045029721492901, 0.012045083507355768, 0.012045129976761909, 0.01204516919216652, 0.012045201206179499, 0.012045226061682995, 0.012045243791928433, 0.012045254420612368, 0.012045257961930877, 0.012045256191474089, 0.012045250880169962, 0.012045242028218099, 0.012045229635954044, 0.012045213703853605, 0.012045194232539014, 0.012045171222786822, 0.012045144675537724, 0.012045114591908343, 0.012045080973205004, 0.012045043820939698, 0.012045003136848228, 0.012044958922910829, 0.012044911181375224, 0.012044859914782456, 0.012044805125995624, 0.0120447468182317, 0.012044684995096732, 0.012044619660624702, 0.012044550819320302, 0.012044478476205978, 0.012044402636873701, 0.012044323307541713, 0.01204424049511689, 0.012044154207263182, 0.012044064452476622, 0.01204397124016769, 0.012043874580751646, 0.012043774485747684, 0.01204367096788774, 0.012043564041236056, 0.01204345372132048, 0.012043340025276825, 0.01204322297200764, 0.012043102582357003, 0.012042978879302987, 0.012042851888169852, 0.012042721636862066, 0.012042588156122745, 0.01204245147981921, 0.0120423116452588, 0.012042168693538623, 0.012042022669933093, 0.012041873624323945, 0.012041721611677818, 0.012041566692577345, 0.012041408933812404, 0.012041248409039173, 0.012041085199515696, 0.012040919394923896, 0.012040751094289631, 0.012040580407013668, 0.012040407454028887, 0.012040232369101031, 0.012040055300293236, 0.012039876411617455, 0.012039695884900075, 0.012039513921892947, 0.012039330746666629, 0.012039146608328681, 0.012038961784117201, 0.012038776582928517, 0.012038591349348605, 0.012038406468270183, 0.012038222370192631, 0.012038039537320307, 0.012037858510596595, 0.012037679897838509, 0.012037504383168838, 0.012037332737983731, 0.012037165833742494, 0.012037004656927997, 0.012036850326601473, 0.012036704115070277, 0.012036567472305032, 0.012036442054891721, 0.01203632976049197, 0.01203623276902413, 0.01203615359208343, 0.012036095132512534, 0.012036060756543147, 0.012036054381591945, 0.012036080583664347, 0.012036144729469112, 0.012036253139877599, 0.012036413293417446, 0.012036634081274518, 0.012036926129083022, 0.012037302206037419, 0.012037777749188815, 0.012038371541125982, 0.012039106593999947, 0.012040011314191499, 0.012041121053210053, 0.012042480196976849, 0.012044145016070838, 0.012046187607917086, 0.012048701431974271, 0.012051809211471646, 0.012055674421999398, 0.012060518338579294, 0.01206664591257081, 0.012074486070258229, 0.012084656317467263, 0.01209806980039624, 0.012116119637040935, 0.012141010753316707, 0.012176389525858543, 0.012228616164901476, 0.012309540767215871, 0.012443163429336384, 0.012683645382446094, 0.013172006256249749, 0.01434973197422793, 0.017810429837472379, 0.024327320484796421, 0.01923493214005895, 0.01505376503586638, 0.013581215407358167, 0.012964356372884962, 0.012655391231267995, 0.012479630873396199, 0.012370126964873553, 0.012297153346943961, 0.012245951104411528, 0.012208534040473068, 0.012180277397109958, 0.012158352475316681, 0.012115279915955599, 0.01209044574905181, 0.012074560997989611, 0.012063659611709734, 0.012055825481454487, 0.012050057760810655, 0.012045815886956402, 0.012042818087560201, 0.01204094717701582, 0.012040207307326356, 0.012040708169774176, 0.012042666449051559, 0.012046420096035968, 0.012052453254536596, 0.012061429500457153, 0.012074227841033311, 0.012091967667495087, 0.012115992325154402, 0.012147753659914523, 0.012188507613214146, 0.012238725820819616, 0.012297229618660139, 0.012360353711226742, 0.012421858026727753, 0.0124743063677562, 0.012511650705641121, 0.012531435859080394, 0.012535106626667857, 0.012526546285052179, 0.012510201013465857, 0.012489848003198769, 0.012468176202862832, 0.012446867428503698, 0.012426853968882033, 0.012408575005807653, 0.012392171776364022, 0.012377618315084883, 0.012364802654454868, 0.01235357462164691, 0.012343772659649747, 0.012335238054564787, 0.01232782185189993, 0.012321387662633869, 0.012315812248423402, 0.012310984978443735, 0.012306806776523189, 0.012303188899598107, 0.012300051727758336, 0.012297323654209255, 0.012294940111713823, 0.012292842743621482, 0.012290978712559094, 0.012289300132497939, 0.012287763606886827, 0.012286329854937942, 0.012284963408873348, 0.012283632366365607, 0.01228230818418633, 0.012280965501010535, 0.012279581979296215, 0.012278138158091523, 0.01227661731046599, 0.012275005300975531, 0.012273290440121943, 0.012271463334131484, 0.012269516729533594, 0.01226744535296216, 0.012265245747324054, 0.012262916105991294, 0.012260456106987843, 0.012257866749281272, 0.012255150193278845, 0.012252309607495761, 0.012249349023139875, 0.01224627319807106, 0.012243087491270854, 0.012239797748621838, 0.012236410200467019, 0.012232931371110112, 0.012229368000140628, 0.012225726975228994, 0.01222201527584023, 0.012218239927160243, 0.012214407963415807, 0.012210526399693175, 0.012206602211318265, 0.012202642319847305, 0.012198653584726526, 0.012194642799707792, 0.012190616693149102, 0.012186581931381481, 0.012182545124382098, 0.012178512833056036, 0.012174491577492664, 0.012170487845625553, 0.012166508101786653, 0.01216255879470389, 0.012158646364547715, 0.012154777248684823, 0.012150957885846898, 0.012147194718469567, 0.012143494193001076, 0.012139862758022878, 0.012136306860065326, 0.012132832937041696, 0.012129447409262422, 0.01212615666803063, 0.01212296706185793, 0.01211988488037769, 0.012116916336070727, 0.012114067543956001, 0.01211134449943496, 0.012108753054513959, 0.012106298892662523, 0.012103987502596412, 0.012101824151302355, 0.01209981385664541, 0.012097961359919137, 0.012096271098713052, 0.012094747180479072, 0.012093393357180328, 0.012092213001399434, 0.012091209084269867, 0.012090384155573751, 0.012089740326320439, 0.012089279254086083, 0.012089002131352529, 0.012088909677036927, 0.012088971316173338, 0.012089156108457028, 0.012089463678947029, 0.012089893404187884, 0.012090444414358753, 0.012091115596242171, 0.012091905596973119, 0.012092812828518412, 0.012093835472826936, 0.012094971487581947, 0.0120962186124783, 0.012097574375940331, 0.012099036102189572, 0.012100600918566004, 0.012102265763002672, 0.012104027391549799, 0.012105882385843062, 0.012107827160409576, 0.012109857969705489, 0.012111970914780884, 0.012114161949470154, 0.012116426886010324, 0.012118761399994694, 0.012121161034576165, 0.012123621203842184, 0.012126137195292668, 0.01212870417136324, 0.01213131716994869, 0.012133971103895679, 0.012136660759450508, 0.012139380793665827, 0.012142125730791683, 0.012144889957699856, 0.012147667718416929, 0.012150453107871727, 0.012153240064996134, 0.01215602236535502, 0.012158793613522149, 0.012161547235463369, 0.012164276471236468, 0.012166974368368975, 0.012169633776329227, 0.012172247342562151, 0.012174807510617962, 0.012177306520957437, 0.012179736415069345, 0.012182089043581304, 0.012184356079081565, 0.012186529034391066, 0.012188599287029369, 0.012190558110598217, 0.01219239671375804, 0.012194106287389898, 0.012195678060412852, 0.01219710336455992, 0.012198373708201971, 0.012199480859045451, 0.012200416935219156, 0.012201174503910363, 0.01220174668632043, 0.012202127267295722, 0.012202310807568903, 0.012202292756138534, 0.012202069559946042, 0.01220163876770617, 0.012200999124537169, 0.012200150653948539, 0.012199094723799269, 0.012197834093056765, 0.012196372936574017, 0.012194716845658609, 0.012192872802916605, 0.012190849130692072, 0.012188655413348778, 0.012186302394607572, 0.012183801852106031, 0.01218116645223003, 0.012178409589026105, 0.012175545211591901, 0.01217258764472501, 0.012169551407767642, 0.012166451036510406, 0.012163300912725843, 0.012160115105416928, 0.012156907227224931, 0.012153690308691935, 0.012150476692263986, 0.01214727794710097, 0.012144104804973183, 0.012140967116809096, 0.012137873828843161, 0.012134832976813637, 0.01213185169628811, 0.01212893624694773, 0.012126092048532927, 0.012123323726130354, 0.012120635162546897, 0.01211802955565258, 0.012115509478762786, 0.012113076942352589, 0.012110733455636942, 0.012108480086796714, 0.0121063175208708, 0.012104246114561413, 0.01210226594740634, 0.01210037686895624, 0.012098578541754196, 0.012096870480048713, 0.012095252084281648, 0.012093722671479758, 0.012092281501745841, 0.012090927801094019, 0.01208966078090754, 0.012088479654317303, 0.012087383649809139, 0.012086372022367911, 0.012085444062460657, 0.012084599103148904, 0.01208383652560476, 0.012083155763286722, 0.012082556305010372, 0.012082037697127661, 0.01208159954500527, 0.012081241513970113, 0.012080963329866759, 0.012080764779348489, 0.012080645710001654, 0.012080606030379654], [0.012338351368296056, 0.012338436903150158, 0.012338693412700573, 0.012339120613039038, 0.012339718034736555, 0.012340485028447932, 0.012341420772713227, 0.012342524283913201, 0.012343794428325189, 0.012345229936217389, 0.012346829417913159, 0.012348591381752035, 0.012350514253872215, 0.012352596399740439, 0.012354836147358347, 0.012357231812081494, 0.012359781722997698, 0.01236248425082547, 0.012365337837310907, 0.012368341026124384, 0.012371492495284757, 0.012374791091171511, 0.012378235864222431, 0.012381826106459383, 0.012385561391036103, 0.012389441614062168, 0.012393467039028345, 0.012397638344240597, 0.012401956673767832, 0.012406423692523602, 0.012411041646238909, 0.012415813427248274, 0.012420742647208853, 0.012425833718113384, 0.012431091943251572, 0.01243652362013626, 0.012442136157857419, 0.012447938211884134, 0.012453939840032015, 0.012460152684191662, 0.012466590183528043, 0.012473267826281213, 0.012480203449121815, 0.01248741759537066, 0.012494933946454075, 0.012502779844977923, 0.012510986933094135, 0.012519591936868314, 0.012528637636788135, 0.012538174077308235, 0.012548260085747942, 0.012558965194892654, 0.012570372097183376, 0.012582579805729115, 0.012595707765119297, 0.012609901253313072, 0.012625338560744988, 0.012642240649897463, 0.012660884330027532, 0.012681620498015939, 0.012704899818557585, 0.012731309558924302, 0.012761627544156055, 0.012796903089070517, 0.012838581721707137, 0.012888703446723429, 0.01295022942172093, 0.013027603273442209, 0.013127764690310694, 0.013262092347583283, 0.013450411291663602, 0.013730056024716091, 0.014178975249542454, 0.014985055191889496, 0.016709731628050756, 0.021759830421498001, 0.051708673599771604, 0.10486142603110382, 0.022136398398904421, 0.015055586890074153, 0.013403525451538032, 0.012816061362433278, 0.012557702496593876, 0.012428999955895243, 0.012359648571459348, 0.012320355029025766, 0.012297413891939573, 0.012283846215389731, 0.012275863373710481, 0.012271304353556422, 0.012268887801957756, 0.012267830351755476, 0.012267641370562354, 0.012268007676949119, 0.012268726388816086, 0.012269664593803345, 0.012270734497989016, 0.012271877779476064, 0.012273055559860524, 0.012274241881645458, 0.012275419415682465, 0.012276576610130822, 0.012277705783871423, 0.012278801845579291, 0.012279861430929189, 0.012280882321124391, 0.012281863051602112, 0.012282802649667114, 0.012283700459618184, 0.012284556027195611, 0.012285369024132934, 0.012286139199683231, 0.012286866350150361, 0.012287550300308777, 0.012288190892557612, 0.012288787981004655, 0.012289341428604316, 0.012289851106110526, 0.012290316892040644, 0.012290738673141918, 0.012291116345050446, 0.01229144981296441, 0.012291738992239187, 0.012291983808865854, 0.012292184199827595, 0.0122923401133466, 0.012292451509042585, 0.012292518358026276, 0.012292540642949162, 0.01229253700706805, 0.012292526094498098, 0.012292507890447196, 0.012292482370220813, 0.012292449499160654, 0.012292409232558881, 0.012292361515548238, 0.012292306282968265, 0.012292243459208103, 0.012292172958026407, 0.012292094682349163, 0.012292008524046336, 0.012291914363688785, 0.012291812070286932, 0.012291701501013642, 0.01229158250091391, 0.012291454902604923, 0.012291318525971186, 0.012291173177860201, 0.012291018651786022, 0.012290854727649472, 0.012290681171486611, 0.012290497735259026, 0.012290304156703853, 0.012290100159265053, 0.01228988545213327, 0.012289659730427987, 0.012289422675564064, 0.012289173955855204, 0.012288913227419701, 0.012288640135470206, 0.012288354316089564, 0.012288055398620877, 0.012287743008832197, 0.012287416773058037, 0.012287076323572579, 0.012286721305517057, 0.012286351385790432, 0.012285966264424495, 0.012285565689109485, 0.01228514947372495, 0.012284717521977703, 0.012284269857573832, 0.012283806662782172, 0.012283328327819939, 0.012282835514260241, 0.012282329236699542, 0.012281810968336361, 0.012281282778050661, 0.0122807475092552, 0.012280209014534631, 0.012279672465367392, 0.012279144763748487, 0.012278635093372202, 0.012278155663847559, 0.012277722724791305, 0.012277357961679718, 0.012277090438677186, 0.012276959336226828, 0.012277017861363704, 0.012277338918101682, 0.012278023469566135, 0.012279213103729984, 0.012281109319103409, 0.012284003839386127, 0.012288327576445638, 0.012294732215329715, 0.012304231145179386, 0.012318453388745135, 0.012340124573962438, 0.012374034424206898, 0.012429131983685874, 0.012523504436431451, 0.012697722763428411, 0.013056953410405175, 0.013938951068224724, 0.016880288117121112, 0.034344969083729811, 0.050329960664162059, 0.020829581715770443, 0.015778112014303146, 0.014241544507519681, 0.013576120713670455, 0.013225039531735906, 0.013015318061425571, 0.012878952114461139, 0.012784675606651945, 0.012716413755392062, 0.012665179282503866, 0.012625608609008057, 0.012594329032891418, 0.012569127005561448, 0.012548496946855035, 0.012531383378936847, 0.012517026918721721, 0.012504868772728767, 0.012494489552017721, 0.01248556894315252, 0.012477858450765175, 0.012471162559500926, 0.012465325452292213, 0.0124602214763178, 0.012455748186989548, 0.012451821197398428, 0.012448370313091602, 0.012445336595894608, 0.012442670108858484, 0.012440328167340258, 0.012438273971090718, 0.012436475526815496, 0.012434904794991864, 0.012433537012011811, 0.012432350151135144, 0.012431324494715469, 0.012430442296686576, 0.012429687519044415, 0.012429045629504571, 0.012428503449996778, 0.012428049047426693, 0.012427671659380732, 0.01242736164832093, 0.012427110478435423, 0.012426910709776421, 0.012426756004715872, 0.012426641142147253, 0.012426562035312592, 0.012426515749672596, 0.012426500517880926, 0.01242651574967259, 0.01242656203531259, 0.012426641142147251, 0.012426756004715878, 0.012426910709776418, 0.012427110478435413, 0.012427361648320928, 0.012427671659380737, 0.012428049047426696, 0.012428503449996783, 0.012429045629504571, 0.01242968751904441, 0.012430442296686571, 0.012431324494715472, 0.012432350151135144, 0.012433537012011806, 0.012434904794991855, 0.012436475526815486, 0.012438273971090725, 0.012440328167340267, 0.012442670108858474, 0.012445336595894606, 0.012448370313091598, 0.012451821197398431, 0.012455748186989555, 0.012460221476317803, 0.012465325452292217, 0.012471162559500924, 0.012477858450765168, 0.012485568943152524, 0.012494489552017726, 0.01250486877272877, 0.012517026918721724, 0.012531383378936863, 0.01254849694685505, 0.012569127005561424, 0.012594329032891392, 0.012625608609008077, 0.012665179282503887, 0.012716413755392021, 0.012784675606651903, 0.012878952114461103, 0.013015318061425665, 0.013225039531735977, 0.013576120713670321, 0.014241544507519405, 0.015778112014302497, 0.020829581715775664, 0.050329960664071652, 0.034344969083755734, 0.016880288117120893, 0.013938951068227705, 0.013056953410405688, 0.012697722763428676, 0.012523504436431633, 0.012429131983685891, 0.012374034424206933, 0.012340124573962458, 0.012318453388745152, 0.012304231145179397, 0.01229473221532972, 0.012288327576445634, 0.012284003839386132, 0.012281109319103416, 0.01227921310372998, 0.012278023469566138, 0.01227733891810168, 0.012277017861363702, 0.012276959336226823, 0.012277090438677186, 0.012277357961679712, 0.012277722724791301, 0.012278155663847556, 0.012278635093372205, 0.012279144763748496, 0.012279672465367394, 0.012280209014534634, 0.012280747509255197, 0.012281282778050656, 0.012281810968336365, 0.012282329236699545, 0.012282835514260236, 0.012283328327819934, 0.012283806662782167, 0.012284269857573832, 0.012284717521977703, 0.012285149473724956, 0.012285565689109483, 0.012285966264424492, 0.012286351385790435, 0.012286721305517058, 0.012287076323572579, 0.012287416773058028, 0.012287743008832197, 0.01228805539862088, 0.012288354316089567, 0.012288640135470204, 0.012288913227419707, 0.012289173955855198, 0.012289422675564057, 0.012289659730427987, 0.01228988545213327, 0.012290100159265044, 0.012290304156703848, 0.012290497735259025, 0.012290681171486607, 0.012290854727649476, 0.012291018651786018, 0.012291173177860206, 0.012291318525971193, 0.012291454902604922, 0.012291582500913906, 0.012291701501013642, 0.012291812070286932, 0.012291914363688781, 0.012292008524046339, 0.012292094682349165, 0.012292172958026405, 0.0122922434592081, 0.012292306282968265, 0.012292361515548236, 0.012292409232558879, 0.012292449499160652, 0.012292482370220814, 0.012292507890447196, 0.012292526094498104, 0.012292537007068048, 0.012292540642949159, 0.012292538825218207, 0.012292533372078199, 0.012292524283688499, 0.012292511560317302, 0.012292495202345625, 0.012292475210272855, 0.012292451584723993, 0.01229242432645856, 0.012292393436381359, 0.01229235891555497, 0.012292320765214346, 0.012292278986783261, 0.012292233581893118, 0.012292184552403898, 0.012292131900427697, 0.012292075628354791, 0.012292015738882625, 0.012291952235047778, 0.012291885120261309, 0.012291814398347539, 0.012291740073586859, 0.012291662150762666, 0.0122915806352129, 0.012291495532886573, 0.012291406850405853, 0.012291314595134046, 0.012291218775250188, 0.012291119399830873, 0.012291016478939957, 0.012290910023727012, 0.012290800046535381, 0.012290686561020826, 0.012290569582281861, 0.012290449127003056, 0.012290325213612613, 0.012290197862455816, 0.012290067095986111, 0.012289932938975665, 0.012289795418747695, 0.012289654565433029, 0.012289510412253516, 0.012289362995835669, 0.012289212356557843, 0.012289058538935107, 0.01228890159204624, 0.012288741570008071, 0.012288578532502982, 0.012288412545366207, 0.012288243681240558, 0.012288072020307197, 0.012287897651102497, 0.012287720671432153, 0.012287541189395859, 0.012287359324537346, 0.012287175209137313, 0.012286988989669135, 0.012286800828440662, 0.012286610905448801, 0.012286419420478516, 0.012286226595482374, 0.012286032677283542, 0.012285837940652014, 0.012285642691812816, 0.012285447272455294, 0.012285252064325019, 0.012285057494495049, 0.012284864041431295, 0.012284672241988962, 0.012284482699503411, 0.012284296093172036, 0.012284113188963037, 0.012283934852336762, 0.012283762063125576, 0.012283595932993831, 0.012283437725992946, 0.012283288882844468, 0.01228315104973117, 0.012283026112563308, 0.012282916237924116, 0.012282823922202171, 0.012282752050808105, 0.012282703969877705, 0.012282683573520805, 0.01228269541053713, 0.012282744815658617, 0.012282838071893681, 0.012282982612582616, 0.012283187274527341, 0.012283462617320422, 0.012283821329189214, 0.012284278746905934, 0.012284853527514827, 0.01228556852417724, 0.012286451939458681, 0.012287538860177992, 0.012288873323725387, 0.012290511134933776, 0.012292523758943304, 0.012295003782155206, 0.012298072700005909, 0.012301892226751949, 0.012306681055177546, 0.012312740259177167, 0.012320492785670998, 0.012330546640276953, 0.012343799354477658, 0.012361617362001079, 0.012386157869426482, 0.012420977205452297, 0.012472254290476542, 0.012551444006228304, 0.012681594293712409, 0.012914258433892697, 0.013382022435132554, 0.014493105216398162, 0.017707084179704957, 0.02430939119080355, 0.019942316219212247, 0.015490160068567689, 0.01390893586262102, 0.013253011132941361, 0.012927197135333213, 0.012742973815621571, 0.012628709361638452, 0.01255282129904269, 0.012499715664083005, 0.012460991303254168, 0.012431800265955188, 0.012376775054666896, 0.012346571761240167, 0.012327907297658215, 0.012315429525769393, 0.01230665227503241, 0.012300310972504487, 0.012295732997945846, 0.012292567727011046, 0.012290662759888086, 0.012290007110966224, 0.012290709175308548, 0.01229299571892155, 0.012297225945711577, 0.012303917831963159, 0.012313784073357941, 0.012327771714936878, 0.012347090670681436, 0.012373198228331746, 0.012407676176028552, 0.012451900148473671, 0.012506392327789259, 0.012569858424608785, 0.012638247070278207, 0.012704641221930867, 0.012760803729144621, 0.012800087995468685, 0.012819907492489549, 0.012822039457856505, 0.012810933729596472, 0.012791588013335093, 0.012768183324155599, 0.012743646982379462, 0.012719771918914611, 0.012697521724773841, 0.012677324062505053, 0.012659289391559449, 0.012643354910170804, 0.012629372369853731, 0.01261715874155344, 0.012606523947000858, 0.012597285055274555, 0.012589272770880401, 0.012582333687622693, 0.012576330325738681, 0.012571140097940119, 0.012566653839304068, 0.012562774241326211, 0.012559414362744053, 0.012556496295709827, 0.012553950014257896, 0.012551712404567046, 0.012549726462749534, 0.012547940639768024, 0.012546308311147584, 0.012544787349469011, 0.012543339779116593, 0.012541931494810896, 0.012540532027759413, 0.012539114345627815, 0.012537654674872254, 0.012536132336216914, 0.012534529586169295, 0.012532831459403841, 0.012531025608583969, 0.012529102139712978, 0.012527053442386154, 0.012524874015355106, 0.012522560288608677, 0.012520110443733839, 0.012517524234661435, 0.012514802811050272, 0.012511948546547887, 0.012508964874019396, 0.012505856129590234, 0.012502627407035838, 0.012499284423700597, 0.01249583339876453, 0.012492280944320961, 0.012488633969396664, 0.012484899596749803, 0.012481085092027784, 0.012477197804659425, 0.012473245119694725, 0.012469234419688712, 0.012465173055649459, 0.012461068326030007, 0.012456927462733448, 0.012452757623115407, 0.012448565887002017, 0.012444359257790355, 0.012440144666757059, 0.012435928979766107, 0.012431719005635418, 0.012427521505491328, 0.012423343202508746, 0.012419190791501122, 0.012415070947887595, 0.012410990335624789, 0.012406955613746903, 0.012402973441210548, 0.012399050479790613, 0.012395193394820241, 0.012391408853612779, 0.012387703521446254, 0.012384084055033039, 0.012380557093437293, 0.012377129246443706, 0.012373807080420357, 0.01237059710175824, 0.012367505738009129, 0.012364539316882523, 0.012361704043299936, 0.012359005974741769, 0.012356450995156884, 0.012354044787737181, 0.012351792806888629, 0.012349700249755322, 0.012347772027672843, 0.012346012737942431, 0.012344426636324783, 0.012343017610654029, 0.012341789155965835, 0.012340744351519679, 0.012339885840073946, 0.01233921580974223, 0.012338735978723795, 0.012338447583157042, 0.012338351368296056, 0.012338415514561139, 0.012338607823539096, 0.012338927906231185, 0.012339375115810028, 0.012339948549854526, 0.012340647053436798, 0.012341469223020079, 0.012342413411115439, 0.012343477731634928, 0.012344660065869333, 0.012345958069009856, 0.012347369177125568, 0.012348890614501522, 0.012350519401236961, 0.012352252360998628, 0.012354086128820439, 0.012356017158839433, 0.01235804173185618, 0.012360155962608742, 0.012362355806650715, 0.012364637066726475, 0.012366995398541409, 0.012369426315829685, 0.012371925194629495, 0.01237448727668364, 0.012377107671892935, 0.012379781359761512, 0.012382503189786053, 0.012385267880755819, 0.012388070018947851, 0.012390904055220624, 0.012393764301031954, 0.012396644923431838, 0.012399539939108441, 0.012402443207597692, 0.012405348423801709, 0.012408249110000342, 0.012411138607583508, 0.012414010068779057, 0.012416856448702118, 0.012419670498106631, 0.01242244475727762, 0.012425171551562458, 0.012427842989099982, 0.012430450961365571, 0.012432987147206196, 0.012435443021088507, 0.012437809866322199, 0.0124400787940452, 0.012442240768762373, 0.012444286641209307, 0.012446207189262253, 0.012447993167527829, 0.012449635366116591, 0.012451124678927639, 0.012452452181544149, 0.012453609218559539, 0.012454587499823035, 0.012455379204715343, 0.012455977093148761, 0.012456374621544947, 0.012456566061594058, 0.012456546619165516, 0.01245631255034752, 0.012455861271270205, 0.012455191458145226, 0.012454303133862255, 0.012453197737544717, 0.01245187817370225, 0.012450348838034328, 0.012448615617536494, 0.012446685863320598, 0.01244456833545636, 0.012442273120129781, 0.012439811520443853, 0.012437195923199945, 0.012434439644933709, 0.012431556761279931, 0.012428561924357706, 0.01242547017326274, 0.012422296742908187, 0.012419056876363001, 0.012415765645513291, 0.012412437784344312, 0.012409087538451415, 0.012405728533585359, 0.0124023736651754, 0.012399035009902621, 0.012395723759564806, 0.012392450176720712, 0.012389223570956124, 0.012386052294094195, 0.012382943752288017, 0.012379904432681693, 0.012376939942200075, 0.012374055056011531, 0.012371253773285622, 0.012368539378017707, 0.012365914502896593, 0.012363381194430006, 0.012360940977799344, 0.012358594920176384, 0.012356343691488459, 0.012354187621857296, 0.012352126755153828, 0.012350160898303906, 0.012348289666145814, 0.012346512521780024, 0.012344828812465456, 0.012343237801206938, 0.012341738694247198, 0.01234033066472673, 0.012339012872808457, 0.0123377844825844, 0.012336644676089987, 0.012335592664751772, 0.012334627698586488, 0.012333749073456709, 0.012332956136671427, 0.012332248291199773, 0.012331624998744363, 0.012331085781897668, 0.012330630225580699, 0.012330257977939499, 0.012329968750850675, 0.012329762320162899, 0.012329638525778338, 0.012329597271653723], [0.012601010130559837, 0.012601099314097971, 0.012601366766595574, 0.012601812194886774, 0.012602435114303352, 0.012603234854563689, 0.01260421056797084, 0.012605361239875415, 0.012606685701347941, 0.012608182643996801, 0.012609850636861399, 0.012611688145305326, 0.012613693551832688, 0.012615865178752163, 0.012618201312617382, 0.012620700230379879, 0.012623360227202616, 0.012626179645897514, 0.012629156907969534, 0.012632290546275123, 0.012635579239331236, 0.012639021847347059, 0.012642617450090887, 0.012646365386753627, 0.012650265298026485, 0.01265431717067628, 0.012658521384979429, 0.012662878765465829, 0.012667390635531097, 0.012672058876602594, 0.012676885992695171, 0.012681875181375282, 0.012687030412370411, 0.012692356515327928, 0.012697859278553717, 0.012703545560963082, 0.012709423419974018, 0.012715502258694613, 0.012721792996535544, 0.012728308268362031, 0.012735062658549481, 0.012742072977903581, 0.012749358593458911, 0.012756941823829001, 0.01276484841624541, 0.012773108125972666, 0.012781755424802706, 0.01279083037335539, 0.01280037970270121, 0.012810458165464911, 0.012821130236638122, 0.012832472272128055, 0.012844575272019029, 0.012857548450776345, 0.012871523896064834, 0.012886662713757704, 0.012903163228523593, 0.012921272068535987, 0.012941299361250949, 0.012963639892574123, 0.012988803086197759, 0.013017456314718494, 0.01305048885850808, 0.013089108733182081, 0.013134993495892441, 0.013190532915940471, 0.013259234554730732, 0.013346432470390628, 0.013460592979239062, 0.013615879861742694, 0.013837609960721427, 0.014175087824918643, 0.014736099459700336, 0.015798453043143711, 0.018286303588405613, 0.02704903264387172, 0.10761450641043649, 0.047734505000318436, 0.018437545131819333, 0.014499900103949592, 0.013388333156435457, 0.01295621062910797, 0.012756663372813651, 0.012654428152824396, 0.012598498279714921, 0.012566636086819015, 0.012548097913720508, 0.012537283501297151, 0.012531099892627332, 0.012527760654252151, 0.012526197234357021, 0.012525752743458385, 0.012526014679750166, 0.01252671976473933, 0.012527697930478102, 0.012528838397848248, 0.012530068638257671, 0.012531341065565794, 0.012532624480978695, 0.012533898502017853, 0.012535149898427926, 0.01253637016482185, 0.012537553905146543, 0.01253869775516306, 0.012539799664057182, 0.012540858416958935, 0.012541873319507789, 0.012542843991470863, 0.01254377023361657, 0.01254465194358041, 0.012545489064254133, 0.01254628155352641, 0.012547029367817698, 0.012547732454323205, 0.012548390748569612, 0.012549004175046629, 0.01254957264946256, 0.012550096081706428, 0.012550574378958049, 0.012551007448625766, 0.012551395200946835, 0.012551737551184721, 0.012552034421417979, 0.012552285741950281, 0.012552491452388542, 0.01255265150244269, 0.012552765852499204, 0.012552834474015336, 0.01255285734977224, 0.01255285360613444, 0.012552842370074152, 0.012552823626136973, 0.012552797348519716, 0.01255276350100179, 0.012552722036849056, 0.012552672898690399, 0.012552616018367067, 0.012552551316754921, 0.012552478703559994, 0.012552398077087679, 0.012552309323986141, 0.01255221231896487, 0.01255210692448927, 0.012551992990453167, 0.012551870353830773, 0.012551738838311115, 0.012551598253918056, 0.012551448396620474, 0.012551289047938088, 0.012551119974550017, 0.012550940927915333, 0.01255075164391675, 0.012550551842541998, 0.012550341227620868, 0.012550119486640634, 0.012549886290668133, 0.012549641294414134, 0.012549384136484413, 0.012549114439873282, 0.012548831812769275, 0.012548535849760598, 0.01254822613355013, 0.012547902237318227, 0.012547563727907421, 0.012547210170048945, 0.012546841131909498, 0.012546456192311702, 0.012546054950078498, 0.012545637036076914, 0.012545202128699265, 0.012544749973732585, 0.012544280409846398, 0.012543793401297808, 0.012543289079943239, 0.012542767799301852, 0.012542230204298623, 0.012541677321512431, 0.012541110676391369, 0.012540532446152809, 0.012539945660221624, 0.012539354464460336, 0.012538764471683547, 0.012538183229888705, 0.012537620852596802, 0.012537090874725492, 0.012536611425736626, 0.012536206854567923, 0.012535910006487967, 0.012535765454490531, 0.012535834150934136, 0.012536200230168082, 0.012536981133640563, 0.012538342980937683, 0.01254052443015646, 0.012543874663262952, 0.012548915627103566, 0.012556447461315063, 0.012567734108537683, 0.012584845275252681, 0.012611321539214074, 0.012653555955603444, 0.012723908043231135, 0.012848491604824604, 0.013089520085713078, 0.013622892639662453, 0.015096022782821447, 0.021241245751034997, 0.062267570097307434, 0.030892943195845998, 0.018075179179232126, 0.0152317454672839, 0.014187169106223245, 0.013685880684577609, 0.013404115238293402, 0.013228461147635323, 0.013110696637872373, 0.01302739086856902, 0.012965991595103296, 0.0129192539502544, 0.01288274300434801, 0.012853611535534064, 0.01282995829703641, 0.012810471066115476, 0.012794218290790348, 0.012780522394385627, 0.012768879976385884, 0.012758909990320337, 0.012750319174745664, 0.012742878438998545, 0.012736406386966166, 0.012730757600715719, 0.012725814164886396, 0.012721479439568108, 0.012717673420308434, 0.012714329236329655, 0.012711390477148468, 0.012708809130553958, 0.012706543977790802, 0.012704559335085032, 0.012702824060861978, 0.012701310769348719, 0.012699995206490566, 0.012698855755082972, 0.01269787304396711, 0.012697029641913153, 0.012696309821011661, 0.012695699377432933, 0.012695185499601485, 0.012694756675398711, 0.01269440263112538, 0.012694114295769504, 0.012693883784745306, 0.012693704397790814, 0.01269357062620691, 0.012693478165147711, 0.012693423927268101, 0.012693406054720168, 0.012693423927268094, 0.012693478165147707, 0.012693570626206917, 0.012693704397790816, 0.012693883784745308, 0.012694114295769495, 0.012694402631125375, 0.012694756675398716, 0.012695185499601495, 0.01269569937743294, 0.012696309821011661, 0.012697029641913144, 0.012697873043967106, 0.012698855755082972, 0.01269999520649057, 0.012701310769348717, 0.012702824060861977, 0.012704559335085019, 0.012706543977790806, 0.012708809130553963, 0.012711390477148461, 0.012714329236329657, 0.012717673420308436, 0.012721479439568108, 0.012725814164886398, 0.012730757600715724, 0.01273640638696617, 0.012742878438998535, 0.012750319174745658, 0.01275890999032034, 0.012768879976385893, 0.012780522394385627, 0.012794218290790357, 0.012810471066115495, 0.01282995829703642, 0.012853611535534038, 0.012882743004347981, 0.012919253950254424, 0.012965991595103312, 0.013027390868568977, 0.013110696637872322, 0.013228461147635283, 0.013404115238293509, 0.013685880684577696, 0.014187169106223068, 0.015231745467283505, 0.018075179179230839, 0.030892943195861139, 0.062267570097388314, 0.021241245751043917, 0.015096022782821456, 0.013622892639664161, 0.013089520085713421, 0.012848491604824788, 0.012723908043231261, 0.01265355595560346, 0.0126113215392141, 0.012584845275252698, 0.012567734108537693, 0.01255644746131507, 0.012548915627103569, 0.012543874663262952, 0.012540524430156463, 0.012538342980937688, 0.012536981133640566, 0.012536200230168085, 0.012535834150934134, 0.012535765454490531, 0.012535910006487965, 0.012536206854567924, 0.012536611425736623, 0.012537090874725491, 0.012537620852596802, 0.012538183229888712, 0.012538764471683549, 0.012539354464460337, 0.012539945660221622, 0.012540532446152807, 0.012541110676391362, 0.012541677321512432, 0.012542230204298626, 0.01254276779930185, 0.012543289079943233, 0.012543793401297807, 0.012544280409846398, 0.012544749973732588, 0.012545202128699265, 0.012545637036076918, 0.012546054950078496, 0.012546456192311704, 0.012546841131909497, 0.012547210170048947, 0.012547563727907413, 0.012547902237318229, 0.012548226133550132, 0.012548535849760598, 0.012548831812769275, 0.012549114439873282, 0.012549384136484407, 0.012549641294414132, 0.012549886290668135, 0.012550119486640636, 0.012550341227620864, 0.012550551842541996, 0.012550751643916749, 0.012550940927915333, 0.012551119974550017, 0.012551289047938081, 0.012551448396620478, 0.012551598253918057, 0.01255173883831111, 0.012551870353830773, 0.012551992990453167, 0.01255210692448927, 0.012552212318964863, 0.012552309323986146, 0.012552398077087683, 0.012552478703559994, 0.012552551316754921, 0.012552616018367066, 0.012552672898690401, 0.012552722036849054, 0.012552763501001787, 0.012552797348519718, 0.012552823626136975, 0.012552842370074159, 0.012552853606134442, 0.012552857349772233, 0.012552855478170952, 0.012552849863406062, 0.012552840505595143, 0.01255282740493654, 0.012552810561712913, 0.012552789976296344, 0.0125527656491548, 0.012552737580860288, 0.012552705772098525, 0.012552670223680324, 0.012552630936554725, 0.012552587911823957, 0.012552541150760399, 0.012552490654825594, 0.0125524364256915, 0.01255237846526408, 0.01255231677570956, 0.012552251359483277, 0.012552182219361665, 0.01255210935847732, 0.012552032780357682, 0.012551952488967422, 0.012551868488754983, 0.012551780784703676, 0.012551689382387661, 0.012551594288033305, 0.012551495508586466, 0.012551393051786276, 0.012551286926245984, 0.012551177141541615, 0.012551063708309319, 0.012550946638352101, 0.012550825944757083, 0.012550701642024306, 0.012550573746208341, 0.012550442275074002, 0.012550307248267837, 0.012550168687506904, 0.012550026616787009, 0.0125498810626124, 0.012549732054249366, 0.012549579624006647, 0.012549423807545529, 0.012549264644223363, 0.01254910217747426, 0.012548936455231675, 0.012548767530397775, 0.012548595461365572, 0.01254842031260028, 0.012548242155287513, 0.012548061068056959, 0.012547877137791208, 0.012547690460531247, 0.012547501142491407, 0.012547309301198734, 0.01254711506677403, 0.012546918583374414, 0.012546720010820307, 0.012546519526433734, 0.012546317327118866, 0.012546113631721045, 0.012545908683706596, 0.012545702754213, 0.012545496145527664, 0.012545289195063805, 0.012545082279914455, 0.012544875822080498, 0.012544670294486656, 0.012544466227921144, 0.012544264219061371, 0.012544064939780247, 0.012543869147967464, 0.012543677700148801, 0.012543491566246668, 0.012543311846899616, 0.012543139793851776, 0.012542976834039014, 0.012542824598145152, 0.012542684954586306, 0.012542560050116048, 0.012542452358544445, 0.012542364739449455, 0.012542300509258211, 0.012542263527725302, 0.01254225830368625, 0.012542290125089079, 0.012542365219802313, 0.012542490955704673, 0.012542676091276388, 0.012542931091619391, 0.012543268529944035, 0.012543703601680486, 0.012544254788401328, 0.01254494472303647, 0.012545801328496522, 0.012546859332017837, 0.012548162302391148, 0.012549765424913574, 0.012551739332819372, 0.012554175476540783, 0.012557193771872312, 0.012560953692498593, 0.012565670683377292, 0.012571640996310507, 0.012579280225403862, 0.012589184824152857, 0.012602233548201206, 0.012619761103734445, 0.012643868602354379, 0.012678007753714492, 0.01272814943000591, 0.012805300953501861, 0.012931447941307217, 0.013155284312343208, 0.013600344645151259, 0.014640030958592792, 0.017593312531739243, 0.02417015447474137, 0.020737347401064039, 0.015980758000542467, 0.014266013925943706, 0.013562479239298084, 0.013216389964679599, 0.013022089568424306, 0.012902203592765372, 0.012822896620960178, 0.012767569975609421, 0.012727326825524243, 0.012655118957094789, 0.01261769418557325, 0.012595446221439748, 0.012580992377625949, 0.012571054164247477, 0.0125640139174082, 0.012559026901932691, 0.012555654392024754, 0.012553699356368171, 0.012553131487445551, 0.012554056940128818, 0.012556714066748574, 0.012561487132196913, 0.012568934330899948, 0.012579827036373718, 0.012595193873283684, 0.012616353574565902, 0.012644900478600009, 0.012682572083238747, 0.012730885094234265, 0.012790414033745753, 0.012859707762284001, 0.012934223893868627, 0.013006207874091211, 0.013066463477402491, 0.013107672356425211, 0.013127166422902041, 0.01312718762492932, 0.013112892274363052, 0.013089928221575679, 0.013062929580451528, 0.013035075895576901, 0.013008266267858943, 0.012983483362728601, 0.012961129905904407, 0.012941273538492754, 0.012923804701333598, 0.012908531015928105, 0.01289523050176471, 0.012883679856257182, 0.012873668299644637, 0.012865003376067365, 0.012857512455772347, 0.012851042073799954, 0.012845456293019825, 0.012840634733351812, 0.012836470599382505, 0.012832868865739989, 0.012829744684929013, 0.012827022031920574, 0.012824632574168757, 0.012822514743810695, 0.012820612984331171, 0.012818877143436304, 0.012817261985345831, 0.012815726798129349, 0.012814235074521951, 0.012812754247570885, 0.012811255465340217, 0.012809713391659528, 0.012808106022500954, 0.012806414509976773, 0.012804622988140875, 0.012802718396729397, 0.012800690300670244, 0.012798530704613606, 0.012796233862881923, 0.012793796086109702, 0.0127912155464549, 0.012788492083634152, 0.012785627014192625, 0.012782622946398807, 0.012779483602990239, 0.012776213653726134, 0.012772818559360084, 0.012769304428264554, 0.012765677886544185, 0.012761945962091445, 0.012758115982681562, 0.012754195487887365, 0.012750192154324883, 0.012746113733521931, 0.012741968001533231, 0.012737762719305329, 0.012733505602717902, 0.012729204301189944, 0.012724866383732995, 0.01272049933135436, 0.012716110534753709, 0.012711707296312337, 0.01270729683544069, 0.012702886296421936, 0.012698482757965233, 0.012694093243757964, 0.012689724733381211, 0.012685384173024105, 0.012681078485501051, 0.012676814579140038, 0.012672599355170162, 0.012668439713292623, 0.012664342555172181, 0.012660314785635238, 0.012656363311408032, 0.012652495037272754, 0.012648716859563747, 0.012645035656967289, 0.012641458278631282, 0.0126379915296319, 0.012634642153885619, 0.0126314168146357, 0.01262832207268285, 0.012625364362568673, 0.012622549966959207, 0.012619884989511873, 0.012617375326542869, 0.012615026637842352, 0.012612844317010789, 0.01261083346171064, 0.012608998844243154, 0.012607344882867823, 0.012605875614283762, 0.012604594667685416, 0.012603505240790319, 0.012602610078214345, 0.01260191145253825, 0.012601411148372032, 0.012601110449677697, 0.012601010130559837, 0.012601077013104344, 0.012601277525785538, 0.012601611264218628, 0.012602077555996107, 0.012602675463016527, 0.012603403784700902, 0.01260426106205375, 0.012605245582513963, 0.012606355385530357, 0.012607588268786562, 0.012608941794990723, 0.012610413299137577, 0.012611999896143365, 0.012613698488748016, 0.012615505775574595, 0.012617418259232013, 0.012619432254345392, 0.012621543895396927, 0.012623749144260668, 0.012626043797316293, 0.012628423492029616, 0.012630883712892203, 0.012633419796617635, 0.012636026936499487, 0.012638700185844304, 0.012641434460403004, 0.012644224539736019, 0.012647065067461272, 0.01264995055034927, 0.012652875356248202, 0.012655833710841616, 0.012658819693264892, 0.012661827230632859, 0.012664850091560037, 0.012667881878788843, 0.012670916021077791, 0.012673945764543318, 0.012676964163694342, 0.012679964072449167, 0.012682938135478185, 0.012685878780274596, 0.012688778210416597, 0.012691628400548513, 0.012694421093672954, 0.012697147801409741, 0.012699799807937236, 0.012702368178384641, 0.012704843772486514, 0.012707217264337189, 0.012709479169089403, 0.012711619877421124, 0.01271362969854129, 0.01271549891241344, 0.012717217831738655, 0.012718776874051447, 0.012720166644040286, 0.012721378025906135, 0.012722402285219151, 0.012723231179330443, 0.012723857074951193, 0.01272427307103997, 0.012724473124659548, 0.012724452177001149, 0.012724206276354889, 0.012723732694461844, 0.012723030032447451, 0.012722098312439667, 0.012720939051044327, 0.012719555311105035, 0.012717951728624194, 0.012716134512363518, 0.012714111414457841, 0.012711891671335135, 0.012709485915292395, 0.012706906058175507, 0.012704165149689365, 0.012701277213856894, 0.012698257067991509, 0.012695120129194656, 0.012691882213799507, 0.012688559335332658, 0.01268516750645381, 0.012681722549975126, 0.01267823992348883, 0.01267473456138807, 0.01267122073720584, 0.012667711948276371, 0.012664220823797831, 0.012660759056494728, 0.012657337357283945, 0.012653965431670846, 0.012650651976059314, 0.012647404691761665, 0.012644230314237845, 0.012641134654969289, 0.0126381226533652, 0.012635198436188865, 0.012632365382157028, 0.012629626189586615, 0.012626982945218884, 0.01262443719262531, 0.012621989998876551, 0.012619642018424464, 0.012617393553398831, 0.012615244609748352, 0.012613194948857589, 0.012611244134444676, 0.012609391574689927, 0.012607636559663737, 0.012605978294215359, 0.012604415926554969, 0.012602948572812231, 0.012601575337888802, 0.012600295332942003, 0.012599107689844874, 0.012598011572966984, 0.012597006188611331, 0.012596090792428878, 0.012595264695113732, 0.012594527266660818, 0.012593877939444446, 0.012593316210352005, 0.012592841642181425, 0.012592453864486144, 0.012592152574025539, 0.012591937534953777, 0.012591808578855475, 0.012591765604711636], [0.012836437735564822, 0.012836530410905938, 0.012836808335979871, 0.012837271209179255, 0.012837918531954642, 0.012838749614984593, 0.012839763586765886, 0.012840959404578321, 0.01284233586776712, 0.012843891633277382, 0.012845625233368459, 0.012847535095431465, 0.012849619563831722, 0.012851876923699832, 0.012854305426599811, 0.012856903318011214, 0.012859668866575108, 0.012862600395070615, 0.01286569631310968, 0.012868955151564982, 0.012872375598776973, 0.012875956538624927, 0.012879697090590664, 0.01288359665199712, 0.012887654942664681, 0.012891872052300486, 0.012896248491020177, 0.012900785243500639, 0.01290548382737956, 0.012910346356657025, 0.012915375611020153, 0.012920575112212847, 0.012925949208813681, 0.012931503171080721, 0.012937243297882968, 0.01294317703818466, 0.012949313130101633, 0.012955661761240942, 0.01296223475490439, 0.012969045787834995, 0.012976110646585078, 0.012983447531375127, 0.012991077418621124, 0.012999024496302988, 0.013007316690259913, 0.013015986304648503, 0.013025070806630812, 0.013034613794494703, 0.013044666200733834, 0.013055287798398724, 0.01306654910212051, 0.013078533787321165, 0.01309134179631339, 0.013105093364400255, 0.013119934292163588, 0.013136042926683598, 0.013153639518080216, 0.013172998926971583, 0.013194468137221417, 0.013218490785854553, 0.013245642149375668, 0.013276680067459374, 0.013312620782655892, 0.0133548548671875, 0.013405329786891294, 0.013466847468109064, 0.013543569153009824, 0.013641913431881505, 0.013772246734713941, 0.013952293144236464, 0.014214631544667563, 0.014625114352508177, 0.015335382027070903, 0.016767946225865037, 0.020525004160269512, 0.037603243553768928, 0.17813420687797149, 0.029156513238001992, 0.016599618931719427, 0.014200943629135919, 0.013422118161774422, 0.01309727209565934, 0.01294119572434041, 0.012859404027196727, 0.012814154924341502, 0.012788329065343676, 0.012773417132336599, 0.012764890145919975, 0.012760208236025498, 0.012757888208854186, 0.012757036283754195, 0.012757100647961643, 0.01275773430647948, 0.012758716121705281, 0.0127599038873095, 0.012761205690846733, 0.012762562049113781, 0.01276393456180518, 0.012765298600939345, 0.012766638548236325, 0.01276794466759484, 0.012769211040982125, 0.012770434203297529, 0.012771612240340529, 0.012772744195277675, 0.012773829681217768, 0.01277486863153708, 0.012775861142049056, 0.012776807374077149, 0.012777707497544002, 0.012778561659988639, 0.012779369972039781, 0.012780132503016343, 0.012780849282467248, 0.012781520304918822, 0.012782145536085268, 0.012782724919462718, 0.012783258382670656, 0.012783745843196795, 0.012784187213389454, 0.012784582404659489, 0.012784931330923935, 0.012785233911362416, 0.012785490072574826, 0.0127856997502332, 0.012785862890316739, 0.012785979450009128, 0.012786049398325497, 0.01278607271652186, 0.012786068887755714, 0.012786057396136669, 0.012786038225688055, 0.012786011349732271, 0.012785976730816197, 0.012785934320606544, 0.012785884059755356, 0.012785825877735415, 0.012785759692645672, 0.012785685410986777, 0.01278560292740666, 0.012785512124416618, 0.012785412872078213, 0.012785305027661488, 0.012785188435275751, 0.012785062925473876, 0.012784928314832196, 0.012784784405508265, 0.012784630984779876, 0.012784467824569483, 0.012784294680959605, 0.012784111293706508, 0.012783917385761094, 0.012783712662808906, 0.012783496812843987, 0.012783269505795392, 0.012783030393230132, 0.01278277910816232, 0.012782515265006294, 0.012782238459720933, 0.012781948270204754, 0.012781644257016757, 0.01278132596451724, 0.012780992922547609, 0.012780644648799265, 0.012780280652061413, 0.012779900436588471, 0.012779503507892722, 0.012779089380351823, 0.012778657587128961, 0.012778207693044141, 0.012777739311218519, 0.012777252124554248, 0.012776745913429359, 0.012776220591407551, 0.012775676251323543, 0.012775113224857452, 0.012774532159729688, 0.012773934120034155, 0.012773320717131083, 0.012772694281156283, 0.012772058086885191, 0.012771416652884541, 0.012770776140287533, 0.012770144888200998, 0.012769534138320873, 0.012768959024342347, 0.012768439936237042, 0.0127680044219525, 0.012767689870293534, 0.012767547346685167, 0.012767647159129529, 0.012768087069404263, 0.012769004632861319, 0.012770596132492519, 0.01277314632250242, 0.012777076419714531, 0.012783023950290642, 0.012791980395412119, 0.012805538526545411, 0.012826359218351797, 0.012859106099351375, 0.01291245734683439, 0.013003847600942217, 0.013172038581109734, 0.013516166423501669, 0.014347866242740589, 0.017033281970731298, 0.032139164030387503, 0.058823009928019088, 0.022765641794681716, 0.016699849707935092, 0.014936360591315588, 0.014189808937735303, 0.01380099708973748, 0.013570625904345369, 0.013421656019680909, 0.01331906785607188, 0.013245002555613356, 0.013189535583631354, 0.013146771426927932, 0.013113016370464305, 0.013085853220001973, 0.013063641745048654, 0.013045234276460985, 0.013029806399889264, 0.013016752249350238, 0.013005617582980704, 0.012996055759046011, 0.012987798032635372, 0.012980633058385359, 0.012974392458455244, 0.012968940475491811, 0.012964166432136888, 0.012959979153946992, 0.012956302788875327, 0.012953073635502126, 0.01295023771044841, 0.012947748864876275, 0.01294556731423935, 0.012943658483034817, 0.012941992092683775, 0.01294054143938524, 0.012939282822200348, 0.012938195091300642, 0.012937259293332611, 0.012936458395950177, 0.012935777077270607, 0.012935201568692569, 0.012934719541455546, 0.012934320028726125, 0.012933993376033775, 0.012933731213674485, 0.012933526445361131, 0.012933373248004022, 0.012933267078118125, 0.012933204681015439, 0.012933184099677192, 0.012933204681015432, 0.012933267078118121, 0.012933373248004025, 0.012933526445361131, 0.012933731213674483, 0.012933993376033764, 0.012934320028726123, 0.012934719541455548, 0.012935201568692574, 0.012935777077270609, 0.012936458395950173, 0.012937259293332604, 0.012938195091300637, 0.012939282822200351, 0.012940541439385243, 0.012941992092683772, 0.01294365848303481, 0.012945567314239338, 0.012947748864876282, 0.012950237710448414, 0.01295307363550212, 0.012956302788875326, 0.012959979153946994, 0.012964166432136888, 0.012968940475491818, 0.012974392458455244, 0.012980633058385361, 0.012987798032635365, 0.012996055759046003, 0.013005617582980709, 0.013016752249350247, 0.013029806399889269, 0.013045234276460989, 0.013063641745048669, 0.013085853220001983, 0.013113016370464275, 0.013146771426927901, 0.013189535583631382, 0.013245002555613374, 0.013319067856071827, 0.013421656019680853, 0.013570625904345312, 0.013800997089737622, 0.01418980893773542, 0.014936360591315312, 0.016699849707934245, 0.022765641794678486, 0.058823009928053165, 0.03213916403043858, 0.017033281970734549, 0.014347866242740577, 0.013516166423502717, 0.013172038581109966, 0.013003847600942359, 0.012912457346834482, 0.01285910609935139, 0.012826359218351818, 0.012805538526545429, 0.012791980395412125, 0.012783023950290646, 0.012777076419714532, 0.01277314632250242, 0.012770596132492523, 0.012769004632861325, 0.012768087069404264, 0.012767647159129532, 0.012767547346685169, 0.01276768987029353, 0.012768004421952493, 0.012768439936237044, 0.012768959024342347, 0.012769534138320873, 0.012770144888200996, 0.012770776140287541, 0.012771416652884542, 0.012772058086885195, 0.012772694281156276, 0.012773320717131085, 0.01277393412003415, 0.012774532159729689, 0.012775113224857457, 0.012775676251323538, 0.012776220591407546, 0.012776745913429357, 0.012777252124554252, 0.012777739311218521, 0.012778207693044143, 0.012778657587128961, 0.01277908938035182, 0.012779503507892719, 0.012779900436588467, 0.012780280652061415, 0.01278064464879926, 0.012780992922547611, 0.012781325964517242, 0.01278164425701676, 0.012781948270204751, 0.012782238459720929, 0.012782515265006287, 0.012782779108162319, 0.012783030393230135, 0.012783269505795393, 0.01278349681284398, 0.012783712662808906, 0.012783917385761089, 0.012784111293706504, 0.012784294680959608, 0.012784467824569479, 0.012784630984779879, 0.012784784405508273, 0.012784928314832196, 0.012785062925473873, 0.012785188435275751, 0.012785305027661493, 0.012785412872078211, 0.012785512124416622, 0.012785602927406658, 0.012785685410986776, 0.012785759692645678, 0.012785825877735413, 0.012785884059755358, 0.012785934320606545, 0.012785976730816192, 0.012786011349732274, 0.012786038225688055, 0.012786057396136674, 0.012786068887755714, 0.012786072716521858, 0.012786070802362878, 0.012786065059915849, 0.012786055489271166, 0.01278604209058164, 0.012786024864065769, 0.012786003810012356, 0.012785978928786444, 0.012785950220836721, 0.01278591768670437, 0.012785881327033408, 0.012785841142582712, 0.012785797134239591, 0.012785749303035309, 0.012785697650162358, 0.012785642176993836, 0.012785582885104931, 0.012785519776296815, 0.012785452852622909, 0.012785382116417974, 0.012785307570330013, 0.012785229217355419, 0.01278514706087752, 0.012785061104708853, 0.01278497135313755, 0.012784877810978141, 0.012784780483627247, 0.012784679377124578, 0.012784574498219783, 0.01278446585444569, 0.012784353454198569, 0.012784237306826207, 0.012784117422724402, 0.012783993813442945, 0.012783866491801882, 0.012783735472019353, 0.012783600769851964, 0.012783462402749322, 0.012783320390024012, 0.012783174753038903, 0.012783025515413635, 0.012782872703252372, 0.012782716345395398, 0.012782556473697112, 0.012782393123333664, 0.012782226333143581, 0.012782056146005392, 0.012781882609256749, 0.012781705775160001, 0.012781525701420077, 0.012781342451761161, 0.01278115609656973, 0.012780966713612365, 0.012780774388838217, 0.012780579217277262, 0.012780381304047229, 0.012780180765484019, 0.012779977730412688, 0.012779772341578621, 0.01277956475726191, 0.012779355153101241, 0.01277914372415825, 0.01277893068725821, 0.012778716283648931, 0.012778500782027302, 0.012778284481990886, 0.012778067717982863, 0.012777850863810437, 0.012777634337831892, 0.012777418608925247, 0.012777204203373095, 0.01277699171282445, 0.012776781803526618, 0.012776575227059179, 0.012776372832850618, 0.012776175582817491, 0.012775984568539966, 0.012775801031479506, 0.01277562638685931, 0.012775462251972817, 0.012775310479868076, 0.012775173199587913, 0.012775052864441879, 0.012774952310166997, 0.01277487482532645, 0.012774824236935729, 0.012774805015145423, 0.012774822401916972, 0.012774882570100976, 0.012774992821301796, 0.012775161833582419, 0.012775399973705609, 0.012775719693626342, 0.012776136037935221, 0.012776667298782777, 0.012777335868812233, 0.012778169362812355, 0.012779202108307283, 0.012780477149062865, 0.012782048971439893, 0.012783987264632993, 0.012786382183773599, 0.012789351836694907, 0.012793053125786295, 0.012797697762774955, 0.012803576453669566, 0.012811096340655373, 0.012820840619420838, 0.012833666555285119, 0.012850872678459909, 0.012874496462159791, 0.012907871684972698, 0.012956736562626706, 0.013031602869880136, 0.013153294605456702, 0.013367428729942959, 0.013788000559783541, 0.01475264447566222, 0.017435866902256351, 0.023850149345446714, 0.021574692082115484, 0.016493018963320644, 0.014614516981285757, 0.013853134728855259, 0.013482837206153789, 0.013276694022371728, 0.013150291727004012, 0.013067069561704168, 0.013009227521603408, 0.012911525296409468, 0.012864249383543001, 0.012837374510201961, 0.012820468659929038, 0.012809134714773112, 0.012801277795395853, 0.012795827760745337, 0.012792232988028942, 0.012790239890386855, 0.012789793432613092, 0.012790995916919739, 0.01279409833244303, 0.012799513393368633, 0.012807845399486114, 0.012819933292176976, 0.012836899886622347, 0.012860189709582501, 0.012891555314251478, 0.012932912608251619, 0.012985935485134801, 0.013051243215155732, 0.013127170775056556, 0.013208557716015729, 0.013286630661849251, 0.013351072840385451, 0.013393847756493474, 0.01341230547746229, 0.013409334014996012, 0.013390964512602081, 0.013363598487416379, 0.013332362284305174, 0.013300685996216441, 0.013270555023324505, 0.013242946923542359, 0.01321821737947744, 0.013196373218579019, 0.013177244283516059, 0.013160583720580453, 0.013146122967544182, 0.013133599894420103, 0.013122771754235882, 0.013113419890935937, 0.013105350193558185, 0.013098391522835141, 0.013092393317884022, 0.01308722301466644, 0.013082763587890688, 0.013078911353590763, 0.013075574076919678, 0.013072669382363043, 0.01307012344108162, 0.013067869900936139, 0.013065849022565244, 0.01306400698619335, 0.013062295336769961, 0.013060670538610269, 0.013059093614429656, 0.013057529847311277, 0.013055948527612507, 0.013054322730060779, 0.013052629109290859, 0.01305084770482021, 0.013048961748932702, 0.013046957473126404, 0.013044823910667514, 0.013042552694366865, 0.013040137849958671, 0.013037575586417275, 0.013034864085214419, 0.01303200329092072, 0.013028994705723211, 0.013025841190403765, 0.013022546774140335, 0.013019116475195477, 0.013015556134182963, 0.013011872261188221, 0.013008071897591782, 0.013004162493031874, 0.013000151797560283, 0.012996047768708309, 0.01299185849289408, 0.012987592120372697, 0.01298325681275515, 0.012978860701999181, 0.012974411859698887, 0.012969918275464998, 0.012965387843186646, 0.012960828353992721, 0.012956247494778819, 0.012951652851229588, 0.01294705191434053, 0.012942452089523233, 0.012937860707461396, 0.012933285035967306, 0.012928732292169762, 0.012924209654441441, 0.012919724273546962, 0.012915283282561446, 0.012910893805173199, 0.012906562962043462, 0.012902297874951759, 0.012898105668507064, 0.012893993469254484, 0.012889968402053453, 0.012886037583649496, 0.012882208113404662, 0.012878487061195961, 0.012874881452533593, 0.012871398250993394, 0.012868044338100057, 0.012864826490839903, 0.012861751357022198, 0.012858825428747993, 0.012856055014283151, 0.01285344620866684, 0.012851004863418478, 0.012848736555733082, 0.012846646557576556, 0.01284473980510871, 0.012843020868869849, 0.012841493925168476, 0.012840162729100621, 0.012839030589615903, 0.012838100347022067, 0.012837374353287001, 0.012836854455458022, 0.012836541982470579, 0.012836437735564822, 0.012836507236734978, 0.012836715600446387, 0.012837062407792432, 0.012837546962223707, 0.012838168291967406, 0.012838925153368765, 0.012839816035109463, 0.012840839163245847, 0.012841992506998899, 0.012843273785217144, 0.01284468047342434, 0.012846209811355229, 0.012847858810875344, 0.012849624264174601, 0.012851502752119551, 0.012853490652645157, 0.012855584149065173, 0.012857779238178421, 0.012860071738049036, 0.012862457295340286, 0.012864931392084233, 0.012867489351774453, 0.012870126344674153, 0.012872837392240018, 0.012875617370570394, 0.012878461012797141, 0.012881362910352681, 0.012884317513058196, 0.012887319127994687, 0.012890361917138021, 0.012893439893759706, 0.012896546917619774, 0.012899676689005652, 0.012902822741701363, 0.012905978435007074, 0.012909136944967628, 0.012912291255012443, 0.012915434146257499, 0.012918558187773054, 0.012921655727178419, 0.012924718881986737, 0.01292773953218853, 0.012930709314630319, 0.012933619619813944, 0.012936461591809993, 0.012939226132043211, 0.012941903907764458, 0.012944485366070124, 0.012946960754359067, 0.012949320148125051, 0.012951553486962369, 0.012953650619607002, 0.01295560135873889, 0.012957395546126073, 0.012959023128492482, 0.012960474244234519, 0.012961739320794686, 0.012962809182124982, 0.012963675165243445, 0.012964329244413963, 0.012964764160977206, 0.012964973556349454, 0.01296495210521288, 0.012964695645474325, 0.01296420130120484, 0.012963467594522538, 0.012962494542280907, 0.012961283733501239, 0.012959838383762986, 0.012958163363248527, 0.012956265195826691, 0.012954152027431484, 0.012951833563016938, 0.012949320972495444, 0.012946626767235443, 0.012943764649838943, 0.0129407493409689, 0.012937596387887889, 0.012934321960046406, 0.012930942637480979, 0.012927475197928428, 0.012923936408428677, 0.012920342826794301, 0.01291671061770383, 0.012913055387377087, 0.012909392039871367, 0.012905734657057581, 0.012902096403354995, 0.012898489455373143, 0.012894924955774611, 0.012891412989963311, 0.012887962583638904, 0.012884581718847717, 0.012881277365900293, 0.012878055528405114, 0.012874921298669432, 0.012871878920821613, 0.012868931859190571, 0.012866082869716917, 0.012863334072444003, 0.012860687023428614, 0.012858142784704327, 0.012855701991213771, 0.012853364913890436, 0.012851131518309338, 0.012849001518537078, 0.012846974425991722, 0.012845049593274005, 0.012843226253053347, 0.012841503552188306, 0.01283988058133332, 0.012838356400335623, 0.012836930059760134, 0.012835600618899906, 0.012834367160636791, 0.012833228803515104, 0.012832184711380881, 0.012831234100924151, 0.01283037624744174, 0.012829610489115616, 0.012828936230076863, 0.012828352942499951, 0.012827860167945055, 0.012827457518139865, 0.012827144675365828, 0.012826921392586968, 0.012826787493434421, 0.012826742872133342], [0.013015075414057546, 0.01301517094997587, 0.013015457454753852, 0.0130159346207514, 0.013016601939530971, 0.013017458708276747, 0.01301850403873254, 0.013019736868611898, 0.013021155975422289, 0.013022759992636607, 0.013024547428138824, 0.013026516684865963, 0.013028666083567663, 0.013030993887606961, 0.013033498329731276, 0.013036177640752249, 0.013039030080086942, 0.013042053968131406, 0.0130452477204603, 0.013048609883875606, 0.01305213917436116, 0.013055834517041698, 0.013059695088292316, 0.013063720360202263, 0.013067910147662761, 0.013072264658426662, 0.013076784546579704, 0.013081470969970466, 0.013086325652274211, 0.013091350950517933, 0.013096549929075146, 0.01310192644135935, 0.01310748522070967, 0.013113231982287187, 0.013119173538198296, 0.013125317928553872, 0.013131674571784538, 0.013138254438298528, 0.013145070252532932, 0.013152136729670288, 0.013159470854850787, 0.013167092214708404, 0.013175023393640836, 0.013183290450580162, 0.01319192349642774, 0.013200957398119152, 0.013210432643002576, 0.013220396407566224, 0.013230903888563223, 0.013242019973732673, 0.013253821355761841, 0.013266399230066422, 0.013279862769170642, 0.013294343641235804, 0.01331000194890512, 0.013327034124895594, 0.013345683561262603, 0.01336625511689314, 0.01338913522126579, 0.013414820207295423, 0.013443957001685958, 0.013477402814260969, 0.013516314821412863, 0.013562288644924009, 0.013617578979685335, 0.013685464088789276, 0.013770874097408991, 0.013881529922840244, 0.01403013694154188, 0.014238937151908873, 0.014550086526976501, 0.015052397461218132, 0.015962827055361666, 0.017943886282511482, 0.023953687210079819, 0.063121523296780918, 0.09047372734392814, 0.021984351607322483, 0.015577803855679586, 0.014017052330480093, 0.013453289127640254, 0.013204358074155993, 0.013080733919685563, 0.013014707867847605, 0.012977851261927464, 0.012956809314930109, 0.012944772182213475, 0.012938046143582535, 0.012934530536179668, 0.012932986202833875, 0.012932661324736052, 0.012933089940947847, 0.01293397873023884, 0.012935141087774063, 0.012936457584215756, 0.012937851657589931, 0.012939274364554746, 0.012940694658102095, 0.012942093110174234, 0.012943457821066819, 0.012944781737931517, 0.012946060892203976, 0.012947293241786131, 0.012948477913758251, 0.01294961471332013, 0.012950703809833217, 0.012951745540413917, 0.012952740291114777, 0.012953688428820559, 0.012954590265796652, 0.01295544604478749, 0.012956255936606905, 0.012957020044909291, 0.012957738414694055, 0.012958411042355641, 0.012959037885937452, 0.012959618874811269, 0.012960153918372453, 0.012960642913578256, 0.012961085751304077, 0.012961482321579195, 0.012961832517811057, 0.012962136240127917, 0.012962393397973749, 0.012962603912083525, 0.012962767715954221, 0.012962884756911342, 0.012962954996853272, 0.012962978412737336, 0.012962974552816533, 0.01296296296766203, 0.012962943641082039, 0.012962916546038185, 0.012962881644567454, 0.012962838887672691, 0.012962788215181653, 0.012962729555574403, 0.012962662825778886, 0.012962587930934697, 0.012962504764124775, 0.012962413206075152, 0.012962313124822874, 0.012962204375352183, 0.012962086799199791, 0.012961960224029739, 0.012961824463179249, 0.012961679315177209, 0.012961524563237835, 0.012961359974732559, 0.012961185300644678, 0.01296100027501247, 0.012960804614368123, 0.012960598017182209, 0.012960380163325999, 0.012960150713567419, 0.012959909309120641, 0.012959655571274827, 0.012959389101134082, 0.012959109479509392, 0.01295881626701376, 0.01295850900442533, 0.012958187213400304, 0.012957850397638776, 0.012957498044634089, 0.012957129628170964, 0.012956744611781942, 0.012956342453428594, 0.012955922611746835, 0.012955484554290225, 0.012955027768327026, 0.012954551774906255, 0.012954056147115998, 0.012953540533731508, 0.012953004689812473, 0.012952448516291454, 0.012951872111240105, 0.012951275836370188, 0.012950660403506162, 0.012950026987381159, 0.012949377373334143, 0.012948714151582408, 0.012948040974090993, 0.012947362896224349, 0.012946686834200924, 0.012946022182180489, 0.012945381651619023, 0.012944782423505063, 0.012944247746331754, 0.012943809177445947, 0.012943509766512831, 0.012943408640595407, 0.012943587711334094, 0.012944161658197482, 0.01294529308023327, 0.012947216002730277, 0.012950273265468467, 0.012954977705651025, 0.012962115611196047, 0.012972928433714469, 0.01298944656854018, 0.013015136051767065, 0.01305623523965835, 0.013124747935121863, 0.013245863949824644, 0.013478995975971561, 0.013989559789802583, 0.015371175888959122, 0.020897890530981712, 0.059658340517807322, 0.034932030788958297, 0.019203829203061781, 0.015914311766148076, 0.01474202729943495, 0.014188512036464786, 0.013880425734995795, 0.013689596624924843, 0.013562233081295874, 0.013472434031059567, 0.013406415701790585, 0.013356262368087414, 0.013317147403743557, 0.013285981767669583, 0.013260707926682944, 0.013239908709468758, 0.013222579761852846, 0.01320799157232708, 0.013195602777334088, 0.013185003977046398, 0.013175880323406743, 0.013167986003824598, 0.013161126462569931, 0.013155145774162057, 0.013149917519951405, 0.013145338092563385, 0.013141321712488972, 0.013137796671612259, 0.013134702469193982, 0.013131987606202173, 0.013129607871840088, 0.013127525002836749, 0.013125705628616358, 0.013124120438419954, 0.013122743522811986, 0.013121551853758783, 0.013120524875965102, 0.013119644188323612, 0.013118893298817226, 0.013118257439475766, 0.013117723430362695, 0.013117279583303647, 0.013116915637359356, 0.013116622719038934, 0.01311639332106475, 0.013116221294226408, 0.013116101847569806, 0.013116031552903263, 0.013116008350396037, 0.013116031552903255, 0.013116101847569804, 0.013116221294226411, 0.013116393321064748, 0.013116622719038934, 0.013116915637359346, 0.013117279583303647, 0.013117723430362696, 0.013118257439475769, 0.013118893298817234, 0.013119644188323615, 0.013120524875965095, 0.013121551853758776, 0.013122743522811991, 0.01312412043841996, 0.01312570562861636, 0.013127525002836746, 0.013129607871840074, 0.013131987606202178, 0.013134702469193989, 0.013137796671612252, 0.013141321712488968, 0.013145338092563387, 0.013149917519951407, 0.013155145774162057, 0.013161126462569936, 0.0131679860038246, 0.013175880323406736, 0.013185003977046391, 0.01319560277733409, 0.013207991572327089, 0.013222579761852845, 0.013239908709468763, 0.013260707926682958, 0.0132859817676696, 0.013317147403743524, 0.013356262368087377, 0.013406415701790617, 0.013472434031059586, 0.013562233081295803, 0.013689596624924765, 0.013880425734995714, 0.01418851203646501, 0.014742027299435141, 0.015914311766147712, 0.019203829203060185, 0.034932030788948742, 0.059658340517771288, 0.020897890530998286, 0.015371175888960639, 0.013989559789802573, 0.013478995975972246, 0.013245863949824797, 0.013124747935121963, 0.013056235239658419, 0.013015136051767073, 0.012989446568540201, 0.012972928433714481, 0.012962115611196048, 0.012954977705651027, 0.012950273265468468, 0.012947216002730272, 0.012945293080233273, 0.012944161658197487, 0.012943587711334095, 0.012943408640595407, 0.012943509766512835, 0.012943809177445949, 0.012944247746331752, 0.012944782423505071, 0.012945381651619021, 0.012946022182180484, 0.012946686834200923, 0.012947362896224354, 0.012948040974090996, 0.012948714151582412, 0.012949377373334138, 0.012950026987381165, 0.012950660403506158, 0.012951275836370188, 0.012951872111240111, 0.012952448516291451, 0.01295300468981247, 0.012953540533731505, 0.012954056147116002, 0.012954551774906259, 0.012955027768327033, 0.012955484554290219, 0.012955922611746828, 0.012956342453428591, 0.01295674461178194, 0.012957129628170964, 0.012957498044634084, 0.012957850397638778, 0.012958187213400309, 0.012958509004425333, 0.012958816267013749, 0.012959109479509394, 0.012959389101134075, 0.012959655571274823, 0.012959909309120644, 0.012960150713567417, 0.012960380163325992, 0.012960598017182206, 0.01296080461436812, 0.012961000275012471, 0.012961185300644683, 0.012961359974732557, 0.012961524563237839, 0.012961679315177214, 0.012961824463179245, 0.012961960224029737, 0.012962086799199793, 0.012962204375352185, 0.012962313124822877, 0.012962413206075158, 0.012962504764124774, 0.012962587930934697, 0.012962662825778888, 0.0129627295555744, 0.012962788215181655, 0.01296283888767269, 0.012962881644567451, 0.012962916546038187, 0.012962943641082039, 0.012962962967662032, 0.012962974552816531, 0.01296297841273733, 0.012962976483003949, 0.012962970693833091, 0.012962961045313274, 0.01296294753759402, 0.01296293017088891, 0.012962908945479842, 0.012962883861722608, 0.012962854920053706, 0.01296282212099859, 0.01296278546518128, 0.012962744953335485, 0.012962700586317244, 0.012962652365119284, 0.012962600290887036, 0.012962544364936617, 0.012962484588774683, 0.01296242096412057, 0.012962353492930588, 0.012962282177424908, 0.012962207020117026, 0.01296212802384623, 0.01296204519181314, 0.012961958527618707, 0.01296186803530691, 0.012961773719411575, 0.012961675585007533, 0.012961573637766729, 0.0129614678840196, 0.012961358330822251, 0.012961244986030065, 0.012961127858378328, 0.012961006957570539, 0.012960882294375298, 0.012960753880732475, 0.012960621729869835, 0.012960485856430984, 0.012960346276616071, 0.012960203008336375, 0.012960056071384474, 0.012959905487621659, 0.012959751281184349, 0.012959593478711921, 0.012959432109598127, 0.012959267206268953, 0.012959098804489895, 0.012958926943706258, 0.012958751667420223, 0.012958573023609268, 0.012958391065190882, 0.012958205850539362, 0.012958017444061221, 0.012957825916836543, 0.012957631347334944, 0.012957433822215651, 0.012957233437223038, 0.012957030298190234, 0.012956824522165653, 0.012956616238679296, 0.012956405591168499, 0.012956192738585781, 0.012955977857215136, 0.012955761142727291, 0.012955542812509714, 0.012955323108312959, 0.012955102299262217, 0.0129548806852913, 0.01295465860106659, 0.012954436420480695, 0.012954214561809896, 0.012953993493647693, 0.012953773741747634, 0.012953555896934971, 0.012953340624278307, 0.012953128673751202, 0.012952920892661434, 0.012952718240184551, 0.012952521804411142, 0.012952332822408236, 0.012952152703908709, 0.01295198305938506, 0.012951825733444477, 0.012951682844710434, 0.012951556833648363, 0.012951450520168049, 0.012951367173319763, 0.012951310596031726, 0.012951285228661518, 0.012951296276222646, 0.012951349865593501, 0.012951453240953804, 0.012951615008310388, 0.012951845443543121, 0.012952156883312256, 0.012952564224997716, 0.012953085571440936, 0.012953743069913207, 0.012954564014399445, 0.012955582308990344, 0.012956840432690292, 0.012958392109912601, 0.012960305988823728, 0.012962670782315446, 0.012965602569197234, 0.012969255348211898, 0.012973836596046779, 0.01297963070875598, 0.012987035198340739, 0.012996618155996799, 0.013009212402931743, 0.013026075450838158, 0.013049172958754025, 0.013081706485482122, 0.013129155600026561, 0.013201487095995793, 0.013318264960484704, 0.01352182723458667, 0.013916235313293798, 0.014802911315380845, 0.017210798584918131, 0.023309122478530581, 0.022398894386262684, 0.017004664713142791, 0.01492699585866311, 0.014095852940510117, 0.013696998559684507, 0.01347717540250515, 0.013343387129260833, 0.013255803737873271, 0.013118677204426325, 0.013057683966936594, 0.01302478709279869, 0.013004843716150526, 0.012991849939008409, 0.012983059420846535, 0.012977105364695828, 0.012973291262889377, 0.012971291861393994, 0.012971020385768951, 0.012972572682537622, 0.012976212622666693, 0.012982383918921092, 0.012991741860077653, 0.013005200585147985, 0.013023988120084909, 0.013049689763796392, 0.013084234909375533, 0.013129737126257634, 0.013188038310648223, 0.013259785835365174, 0.01334302864625735, 0.013431840634178054, 0.013516231754895917, 0.013584609091394584, 0.013628211423673112, 0.013644566808982742, 0.013637440601915539, 0.013613927293587267, 0.013581278588302877, 0.01354513168017565, 0.013509143250815451, 0.013475346813568127, 0.013444677585778003, 0.013417413594968472, 0.013393477676896075, 0.013372622278908631, 0.013354534185308671, 0.013338889946498117, 0.013325382839983564, 0.013313734164463815, 0.013303696313987706, 0.013295051807161978, 0.013287610540681121, 0.013281206459244592, 0.013275694238287101, 0.013270946253267848, 0.013266849938709489, 0.0132633055532298, 0.013260224325136469, 0.013257526935533804, 0.013255142290683617, 0.013253006536279071, 0.013251062269988645, 0.013249257913390031, 0.01324754720939429, 0.013245888816077958, 0.013244245972344464, 0.013242586214984413, 0.013240881130498712, 0.013239106128498889, 0.013237240226614062, 0.013235265839612547, 0.013233168567882619, 0.01323093698250577, 0.013228562405889871, 0.013226038688313801, 0.013223361981777581, 0.013220530513274745, 0.013217544360034602, 0.013214405229459074, 0.013211116246443546, 0.013207681750568107, 0.013204107105320292, 0.013200398521104125, 0.013196562893342305, 0.013192607656519452, 0.013188540654572877, 0.013184370027630486, 0.013180104114738888, 0.013175751371924626, 0.013171320304692126, 0.013166819413881578, 0.013162257153685747, 0.013157641900550587, 0.013152981931654132, 0.013148285411663258, 0.013143560386502993, 0.013138814782928842, 0.013134056412765419, 0.013129292980756872, 0.01312453209506296, 0.013119781279525332, 0.013115047986917955, 0.01311033961248311, 0.013105663507136895, 0.013101026989806142, 0.01309643735843157, 0.013091901899239096, 0.013087427893943685, 0.013083022624608238, 0.013078693375933981, 0.013074447434809861, 0.013070292086996695, 0.013066234610869152, 0.013062282268182963, 0.013058442291880341, 0.013054721870990098, 0.01305112813272279, 0.013047668121904471, 0.013044348777936079, 0.013041176909506702, 0.013038159167330211, 0.013035302015213444, 0.0130326116997999, 0.013030094219365351, 0.013027755292069983, 0.013025600324093367, 0.013023634378096031, 0.013021862142459021, 0.013020287901755136, 0.013018915508897945, 0.013017748359398685, 0.013016789368137261, 0.013016040949019255, 0.013015504997850546, 0.013015182878711552, 0.013015075414057546, 0.013015147060468793, 0.013015361856078008, 0.013015719370517735, 0.013016218888188397, 0.013016859410753872, 0.013017639660587672, 0.013018558085123215, 0.013019612862048856, 0.013020801905276921, 0.013022122871605176, 0.01302357316797912, 0.013025149959254748, 0.013026850176353933, 0.013028670524697824, 0.013030607492798841, 0.013032657360887469, 0.013034816209448253, 0.013037079927537488, 0.013039444220755834, 0.013041904618750549, 0.01304445648212485, 0.013047095008636912, 0.013049815238576141, 0.013052612059212708, 0.01305548020822477, 0.013058414276018754, 0.013061408706870782, 0.013064457798831976, 0.013067555702357023, 0.01307069641763497, 0.013073873790623044, 0.01307708150780959, 0.013080313089760858, 0.01308356188353824, 0.0130868210541095, 0.013090083574918195, 0.013093342217821078, 0.013096589542654, 0.013099817886742466, 0.01310301935473359, 0.013106185809191245, 0.013109308862465512, 0.013112379870419225, 0.013115389928667546, 0.013118329872058927, 0.013121190278194019, 0.013123961475840383, 0.013126633559150067, 0.01312919640861978, 0.013131639719742577, 0.013133953040280182, 0.013136125817027939, 0.013138147452843895, 0.013140007374561604, 0.013141695112197442, 0.013143200389592991, 0.013144513226298879, 0.013145624050109944, 0.01314652381920791, 0.013147204152367047, 0.013147657465146871, 0.013147877109455083, 0.013147857513341629, 0.01314759431741255, 0.013147084503866679, 0.01314632651389501, 0.013145320349078296, 0.013144067652501923, 0.013142571765601629, 0.013140837757268339, 0.013138872422472069, 0.013136684248591298, 0.013134283348720738, 0.013131681362422867, 0.013128891325623551, 0.013125927512558616, 0.013122805253781334, 0.013119540735173458, 0.01311615078360562, 0.013112652645324756, 0.013109063763285139, 0.013105401559482994, 0.013101683227924068, 0.013097925543185732, 0.01309414468868279, 0.013090356107770554, 0.013086574379783542, 0.01308281312207615, 0.01307908491815696, 0.013075401271136799, 0.013071772580974405, 0.013068208143421701, 0.013064716168151112, 0.013061303813286022, 0.013057977233440047, 0.013054741638382534, 0.013051601359564895, 0.013048559921939757, 0.013045620118760861, 0.013042784087342251, 0.013040053384062894, 0.01303742905721127, 0.013034911716560571, 0.013032501598840937, 0.013030198628523417, 0.013028002473548739, 0.013025912595820211, 0.013023928296435117, 0.013022048755754257, 0.013020273068507287, 0.013018600274204796, 0.013017029383180299, 0.013015559398619333, 0.013014189334951553, 0.013012918232988209, 0.013011745172184249, 0.01301066928039279, 0.013009689741463342, 0.013008805801013858, 0.013008016770682893, 0.013007322031141995, 0.013006721034121777, 0.013006213303677086, 0.013005798436889343, 0.013005476104176451, 0.013005246049353124, 0.013005108089558386, 0.013005062115139764], [0.012475394836212468, 0.012475488315494811, 0.012475768653970709, 0.012476235554810977, 0.012476888527574118, 0.012477726894592974, 0.012478749799868382, 0.012479956220424564, 0.012481344980069952, 0.01248291476549874, 0.01248466414466266, 0.012486591587338234, 0.012488695487814528, 0.01249097418962921, 0.012493426012286974, 0.012496049279904709, 0.012498842351742524, 0.012501803654599337, 0.0125049317170755, 0.012508225205735626, 0.012511682963240282, 0.012515304048558565, 0.012519087779423762, 0.012523033777254193, 0.012527142014830966, 0.012531412867105983, 0.012535847165610521, 0.012540446257047689, 0.012545212066787347, 0.012550147168143122, 0.012555254858503371, 0.012560539243621886, 0.012566005331656204, 0.012571659138887898, 0.012577507809484521, 0.012583559752190566, 0.012589824797490892, 0.012596314379614271, 0.012603041748783629, 0.012610022220438723, 0.012617273469843131, 0.012624815882655311, 0.01263267297485062, 0.012640871899041605, 0.012649444059050701, 0.012658425860952185, 0.012667859637290346, 0.012677794792607975, 0.012688289233944432, 0.012699411171263428, 0.01271124140231274, 0.012723876237862985, 0.012737431282147079, 0.012752046368093328, 0.012767892070810683, 0.012785178406689577, 0.01280416660333245, 0.012825185253409763, 0.012848652838413932, 0.012875109691157117, 0.012905264253664991, 0.012940061523903477, 0.012980786909964324, 0.013029228389745823, 0.013087938201303584, 0.01316067165569567, 0.013253156865982716, 0.013374519433152005, 0.013540096838658169, 0.013777465524958383, 0.014140747007218074, 0.014749521823426402, 0.01591686318814229, 0.018711422663149627, 0.029037418519883975, 0.13344117655766671, 0.043363132595670949, 0.018015838938914151, 0.014330853275229434, 0.013256339309547189, 0.012831453965869322, 0.012633153472476007, 0.012530790699283433, 0.01247445342670666, 0.012442179365598882, 0.012423284436059698, 0.012412169763515111, 0.012405730392846114, 0.012402167356953337, 0.012400402238241844, 0.012399771231760713, 0.012399857359024394, 0.012400394673772793, 0.0124012116995446, 0.012402197079390428, 0.012403278221560647, 0.012404407767026915, 0.012405554880345681, 0.012406699576935003, 0.012407828995314712, 0.012408934933110172, 0.012410012213620116, 0.012411057602999537, 0.012412069094686127, 0.01241304543962596, 0.012413985841167147, 0.012414889760075206, 0.01241575679284509, 0.012416586598401592, 0.012417378856346858, 0.012418133245400774, 0.012418849434422492, 0.012419527080956385, 0.012420165833987872, 0.0124207653387785, 0.012421325242449608, 0.012421845199519636, 0.012422324876954058, 0.01242276395851667, 0.012423162148356084, 0.012423519173848898, 0.012423834787770659, 0.012424108769890127, 0.012424340928090277, 0.012424531099117392, 0.01242467914905135, 0.012424784973577957, 0.012424848498130844, 0.012424869677955152, 0.012424866142143979, 0.012424855529915839, 0.012424837826873798, 0.012424813008979406, 0.012424781042487371, 0.01242474188385404, 0.012424695479619796, 0.012424641766265235, 0.012424580670041306, 0.012424512106773471, 0.012424435981640053, 0.012424352188925125, 0.012424260611746424, 0.012424161121758799, 0.012424053578834478, 0.01242393783072109, 0.012423813712679468, 0.012423681047103481, 0.012423539643124946, 0.012423389296207616, 0.012423229787735291, 0.012423060884600807, 0.012422882338803834, 0.012422693887068334, 0.012422495250492703, 0.012422286134249408, 0.012422066227354844, 0.012421835202535803, 0.012421592716225192, 0.012421338408728121, 0.012421071904609723, 0.012420792813368917, 0.012420500730478783, 0.012420195238894418, 0.012419875911155252, 0.012419542312241351, 0.012419194003385019, 0.012418830547091876, 0.012418451513693633, 0.012418056489842098, 0.012417645089466292, 0.012417216967860708, 0.012416771839762697, 0.012416309502525697, 0.012415829865822479, 0.012415332989746033, 0.012414819133752758, 0.012414288819666892, 0.012413742913009359, 0.01241318272833559, 0.01241261016621439, 0.012412027892172829, 0.01241143957168862, 0.012410850180602477, 0.012410266417853734, 0.012409697258279494, 0.012409154699002792, 0.012408654776224375, 0.012408218964079197, 0.012407876120152501, 0.012407665223998728, 0.012407639283546299, 0.012407870990411211, 0.012408461042980266, 0.012409550623229194, 0.012411340490889362, 0.012414120894860508, 0.012418319690267125, 0.012424582131077378, 0.012433907921102995, 0.012447896468992563, 0.012469207592815904, 0.012502478846630671, 0.012556286938274481, 0.01264773302632924, 0.012814470462210235, 0.013151537887695476, 0.013951947379952048, 0.016460335340995749, 0.029888707874769872, 0.065748568624211648, 0.023760253431773543, 0.016686281329570399, 0.014719693582120986, 0.013906078974120353, 0.013488115655223634, 0.013242733802564331, 0.013085105676103853, 0.012977104077261752, 0.012899445998609503, 0.012841483670620202, 0.012796924022964446, 0.012761840602795598, 0.012733672795364625, 0.012710688140202545, 0.012691677479605519, 0.012675774115601626, 0.012662342309065603, 0.012650906202808967, 0.012641103176437959, 0.012632652441209154, 0.012625333409981225, 0.012618970494484827, 0.012613422223718584, 0.012608573326407139, 0.01260432888415847, 0.01260060995568785, 0.012597350262483728, 0.012594493651572855, 0.012591992135097504, 0.012589804363716747, 0.012587894430465848, 0.012586230929459812, 0.012584786213484236, 0.012583535808569026, 0.012582457953762408, 0.01258153324165202, 0.0125807443405061, 0.012580075782787255, 0.012579513807626015, 0.012579046246924736, 0.012578662446318859, 0.012578353213420514, 0.012578110786742902, 0.012577928819552057, 0.012577802373693617, 0.012577727919247019, 0.012577703336702259, 0.012577727919247014, 0.012577802373693612, 0.012577928819552064, 0.012578110786742895, 0.012578353213420514, 0.012578662446318849, 0.012579046246924738, 0.012579513807626019, 0.012580075782787258, 0.012580744340506106, 0.012581533241652024, 0.012582457953762402, 0.012583535808569019, 0.012584786213484238, 0.012586230929459812, 0.012587894430465848, 0.012589804363716737, 0.012591992135097487, 0.012594493651572862, 0.012597350262483728, 0.01260060995568784, 0.012604328884158468, 0.012608573326407139, 0.012613422223718586, 0.012618970494484828, 0.01262533340998123, 0.012632652441209154, 0.01264110317643795, 0.012650906202808957, 0.01266234230906561, 0.012675774115601637, 0.012691677479605522, 0.012710688140202552, 0.012733672795364645, 0.012761840602795622, 0.012796924022964413, 0.012841483670620163, 0.012899445998609546, 0.012977104077261778, 0.013085105676103773, 0.013242733802564232, 0.013488115655223544, 0.013906078974120641, 0.0147196935821213, 0.016686281329569626, 0.023760253431769712, 0.065748568624198228, 0.029888707874752597, 0.016460335341002118, 0.013951947379952844, 0.013151537887695467, 0.012814470462210696, 0.012647733026329364, 0.012556286938274559, 0.012502478846630732, 0.01246920759281591, 0.012447896468992579, 0.012433907921103004, 0.012424582131077383, 0.012418319690267124, 0.012414120894860508, 0.012411340490889364, 0.012409550623229196, 0.012408461042980275, 0.012407870990411213, 0.012407639283546299, 0.012407665223998733, 0.012407876120152497, 0.012408218964079194, 0.012408654776224378, 0.01240915469900279, 0.012409697258279491, 0.012410266417853732, 0.012410850180602484, 0.012411439571688622, 0.012412027892172833, 0.01241261016621439, 0.012413182728335588, 0.012413742913009354, 0.012414288819666894, 0.012414819133752763, 0.012415332989746028, 0.012415829865822476, 0.012416309502525695, 0.012416771839762699, 0.01241721696786071, 0.012417645089466292, 0.012418056489842098, 0.012418451513693628, 0.012418830547091878, 0.012419194003385023, 0.012419542312241351, 0.012419875911155249, 0.012420195238894422, 0.012420500730478788, 0.012420792813368923, 0.012421071904609718, 0.012421338408728125, 0.012421592716225187, 0.012421835202535803, 0.012422066227354849, 0.012422286134249408, 0.0124224952504927, 0.012422693887068325, 0.012422882338803832, 0.012423060884600805, 0.012423229787735295, 0.012423389296207607, 0.01242353964312495, 0.012423681047103488, 0.01242381371267947, 0.012423937830721085, 0.012424053578834476, 0.012424161121758804, 0.01242426061174642, 0.012424352188925127, 0.01242443598164005, 0.012424512106773469, 0.012424580670041308, 0.012424641766265232, 0.012424695479619791, 0.012424741883854042, 0.012424781042487364, 0.012424813008979407, 0.012424837826873801, 0.012424855529915839, 0.01242486614214398, 0.012424869677955143, 0.012424867910255813, 0.012424862607236468, 0.012424853769133735, 0.012424841396344127, 0.012424825489427272, 0.012424806049110532, 0.012424783076294819, 0.012424756572061975, 0.012424726537683466, 0.01242469297463062, 0.012424655884586421, 0.0124246152694589, 0.012424571131396302, 0.012424523472804016, 0.012424472296363478, 0.012424417605053088, 0.012424359402171401, 0.012424297691362557, 0.012424232476644367, 0.012424163762438965, 0.012424091553606582, 0.01242401585548236, 0.012423936673916601, 0.012423854015318847, 0.012423767886705935, 0.012423678295754458, 0.01242358525085809, 0.01242348876119013, 0.012423388836771743, 0.012423285488546529, 0.012423178728461952, 0.012423068569558302, 0.012422955026065887, 0.012422838113511418, 0.012422717848834293, 0.012422594250513999, 0.012422467338709635, 0.012422337135412836, 0.012422203664615585, 0.01242206695249444, 0.012421927027612906, 0.01242178392114409, 0.012421637667115654, 0.012421488302679778, 0.012421335868410807, 0.012421180408633823, 0.012421021971787773, 0.012420860610827108, 0.012420696383666587, 0.012420529353674449, 0.012420359590219858, 0.012420187169281302, 0.012420012174123671, 0.012419834696052684, 0.01241965483525667, 0.012419472701747156, 0.012419288416411394, 0.012419102112191776, 0.012418913935409727, 0.012418724047253945, 0.012418532625456228, 0.012418339866181821, 0.01241814598616541, 0.012417951225129223, 0.012417755848525613, 0.012417560150653864, 0.012417364458209387, 0.01241716913433402, 0.012416974583248089, 0.012416781255560096, 0.012416589654367345, 0.012416400342282712, 0.012416213949548699, 0.012416031183432114, 0.012415852839131379, 0.012415679812476734, 0.012415513114762491, 0.012415353890123614, 0.012415203435959907, 0.012415063227024653, 0.012414934943937226, 0.012414820507058933, 0.01241472211689979, 0.012414642302514959, 0.012414583979722775, 0.012414550521458559, 0.012414545843204365, 0.012414574507253664, 0.012414641850648677, 0.012414754143059764, 0.012414918782791178, 0.012415144541681905, 0.012415441873187565, 0.012415823302763761, 0.012416303926383408, 0.012416902052439867, 0.012417640035663173, 0.012418545370903021, 0.012419652142644788, 0.012421002967527408, 0.012422651629285924, 0.012424666700435892, 0.012427136592582877, 0.012430176711364444, 0.012433939771751595, 0.012438630960406878, 0.012444530708793641, 0.012452029734823011, 0.012461684455347994, 0.012474307376963699, 0.012491119896586366, 0.012514021498819862, 0.012546087548978228, 0.012592544272998309, 0.012662815289762699, 0.01277519735158994, 0.012968729879177967, 0.013337574498307499, 0.01414774120774227, 0.016286274370739737, 0.021930344424052818, 0.022515549673994856, 0.016862187774151102, 0.01454171547827519, 0.013627289718262079, 0.01319584228929572, 0.012961154884449674, 0.012819750407164245, 0.012619450525451501, 0.012539588258931547, 0.012499293147439907, 0.01247599513997876, 0.012461385150903196, 0.012451843814714918, 0.012445626792851827, 0.012441859984406807, 0.012440131898412919, 0.012440316479139979, 0.012442497955721759, 0.012446948028255373, 0.012454135064107155, 0.012464756552681278, 0.012479789387042639, 0.012500549234388685, 0.012528737514303001, 0.012566425890085333, 0.012615876636174299, 0.012679029160896648, 0.012756457303697528, 0.012845786003023501, 0.012940170089798678, 0.013028310583373158, 0.013097427172193506, 0.013138364642533915, 0.013149298679805488, 0.013135271150181175, 0.013104627506281082, 0.013065451265353913, 0.013023754873382419, 0.012983254922033295, 0.012945884206360912, 0.012912421277791923, 0.012882986059798979, 0.012857363995580207, 0.012835196280884493, 0.012816082832975004, 0.012799633618718784, 0.012785491301033191, 0.012773338786117082, 0.012762899298856193, 0.012753933107596519, 0.012746233043607393, 0.012739619879550954, 0.012733938054388112, 0.012729051932603128, 0.012724842635929177, 0.012721205415599478, 0.012718047504283968, 0.012715286378746899, 0.012712848365993174, 0.012710667531622302, 0.012708684796454657, 0.012706847234905503, 0.012705107515497083, 0.012703423450140455, 0.012701757624383171, 0.012700077085766445, 0.01269835307184068, 0.012696560763310447, 0.012694679051262559, 0.012692690310496604, 0.012690580173637118, 0.012688337302966157, 0.01268595315877709, 0.012683421764525717, 0.012680739470158131, 0.012677904715753576, 0.012674917798067304, 0.012671780642736408, 0.012668496584866277, 0.012665070160495591, 0.012661506911091839, 0.012657813202802307, 0.012653996061717311, 0.0126500630259271, 0.012646022014698664, 0.012641881214683378, 0.012637648982704646, 0.012633333764373608, 0.012628944027544201, 0.012624488209443169, 0.012619974676193954, 0.012615411693387365, 0.012610807406331071, 0.012606169828624673, 0.012601506837751417, 0.01259682617644271, 0.012592135458652324, 0.012587442179067137, 0.012582753725175755, 0.012578077391012823, 0.012573420391790735, 0.012568789878721285, 0.012564192953415645, 0.012559636681330651, 0.012555128103803929, 0.012550674248288344, 0.012546282136458951, 0.012541958789923971, 0.012537711233324674, 0.012533546494659653, 0.012529471602716545, 0.012525493581540335, 0.012521619441911085, 0.01251785616984822, 0.012514210712201015, 0.012510689959427666, 0.012507300725707706, 0.012504049726574843, 0.012500943554297645, 0.012497988651276205, 0.012495191281760566, 0.012492557502232066, 0.012490093130820829, 0.012487803716160217, 0.012485694506100795, 0.012483770416723388, 0.012482036002098733, 0.01248049542524322, 0.012479152430713052, 0.012478010319263315, 0.012477071924974718, 0.012476339595216971, 0.012475815173777794, 0.012475499987437275, 0.012475394836212468, 0.012475464940234994, 0.012475675112441315, 0.012476024933745927, 0.012476513707326496, 0.012477140461080616, 0.012477903951017935, 0.012478802665541534, 0.012479834830559611, 0.012480998415357209, 0.012482291139147022, 0.012483710478208255, 0.012485253673513948, 0.012486917738739544, 0.012488699468538939, 0.012490595446969319, 0.012492602055941788, 0.0124947154835728, 0.012496931732309801, 0.012499246626704629, 0.012501655820710139, 0.01250415480437784, 0.012506738909839272, 0.012509403316458919, 0.012512143055054461, 0.012514953011088419, 0.01251782792674605, 0.01252076240182657, 0.012523750893389371, 0.012526787714113048, 0.012529867029344485, 0.012532982852836636, 0.012536129041198715, 0.012539299287110783, 0.012542487111386485, 0.012545685854004309, 0.012548888664268336, 0.012552088490305072, 0.012555278068153734, 0.012558449910763318, 0.012561596297270676, 0.01256470926299978, 0.012567780590692235, 0.012570801803552131, 0.012573764160762776, 0.01257665865620693, 0.012579476021192299, 0.012582206732047437, 0.012584841023504925, 0.012587368908823405, 0.012589780207612134, 0.012592064582303705, 0.012594211584165878, 0.01259621070964393, 0.012598051467674051, 0.012599723458399135, 0.012601216463446547, 0.012602520547590684, 0.012603626171222206, 0.012604524312586522, 0.012605206598246292, 0.012605665439682997, 0.012605894173403005, 0.012605887201381949, 0.012605640128200812, 0.012605149890834232, 0.012604414876783494, 0.012603435026140896, 0.012602211913257175, 0.012600748803984553, 0.012599050684992655, 0.012597124262399844, 0.01259497792790589, 0.012592621691716422, 0.012590067082760489, 0.012587327017954376, 0.012584415643484337, 0.012581348152193172, 0.012578140582090598, 0.012574809601707452, 0.012571372288435733, 0.012567845906120484, 0.012564247687993876, 0.012560594630589653, 0.012556903303586201, 0.012553189679653609, 0.012549468987386368, 0.012545755589354893, 0.012542062886268116, 0.0125384032472615, 0.012534787965454782, 0.012531227237193609, 0.012527730162816584, 0.012524304766382029, 0.012520958031540394, 0.012517695950636468, 0.012514523584150408, 0.012511445127715386, 0.012508463984157128, 0.012505582838264315, 0.012502803732295467, 0.012500128140539061, 0.012497557041554015, 0.012495090987013945, 0.0124927301663534, 0.012490474466660366, 0.01248832352747487, 0.012486276790336714, 0.012484333543076688, 0.012482492958967537, 0.012480754130945581, 0.012479116101184044, 0.012477577886348531, 0.012476138498896465, 0.012474796964799285, 0.012473552338070414, 0.012472403712477697, 0.012471350230806489, 0.012470391092022059, 0.012469525556658497, 0.012468752950736765, 0.012468072668488487, 0.012467484174135327, 0.012466987002945719, 0.012466580761763891, 0.01246626512917842, 0.012466039855470719, 0.012465904762457826, 0.012465859743317403], [0.010864925321546924, 0.010865009982178471, 0.010865263875957541, 0.010865686739735949, 0.010866278138922303, 0.010867037473443541, 0.010867963986047949, 0.010869056772908701, 0.010870314796477223, 0.010871736900528402, 0.010873321827334614, 0.010875068236902581, 0.010876974728207324, 0.010879039862361203, 0.01088126218766276, 0.010883640266480872, 0.010886172703945091, 0.010888858178432537, 0.010891695473866148, 0.010894683513869626, 0.01089782139786017, 0.01090110843920368, 0.010904544205607247, 0.010908128561984094, 0.010911861716096063, 0.010915744267361074, 0.010919777259310723, 0.010923962236297767, 0.010928301305190475, 0.010932797202954411, 0.010937453371218561, 0.010942274039161759, 0.010947264316344411, 0.010952430297466694, 0.010957779181472371, 0.010963319407962207, 0.010969060814560021, 0.010975014819729454, 0.010981194636620213, 0.010987615524897928, 0.010994295089274722, 0.011001253635730584, 0.011008514599367261, 0.011016105061697546, 0.011024056380260111, 0.011032404960207819, 0.01104119320656884, 0.011050470708112556, 0.011060295720443571, 0.011070737038955602, 0.011081876384347173, 0.011093811468634278, 0.011106659974223054, 0.011120564772237626, 0.011135700844025589, 0.011152284575721321, 0.011170586409338438, 0.011190948320859132, 0.011213808368664683, 0.011239735811959087, 0.011269482395921909, 0.011304059006087669, 0.011344853303809322, 0.011393815783997719, 0.011453764485952738, 0.011528904719218276, 0.011625759094043299, 0.011754930301022906, 0.011934685454297865, 0.012198913837406572, 0.012616916348399539, 0.013350741288527295, 0.014861953216486224, 0.018965811053197151, 0.039150526950029067, 0.17968317902825279, 0.026021801168787138, 0.014641199209177577, 0.012323282920113237, 0.011540257833477511, 0.011202661262754167, 0.011035002065789144, 0.010943850804867756, 0.010891166407335838, 0.010859395320842439, 0.010839667739463455, 0.010827184073022043, 0.010819205828132497, 0.01081410390470015, 0.010810876386744986, 0.010808890390768055, 0.010807737402581039, 0.010807149045166893, 0.010806946423946927, 0.010807008823223746, 0.01080725391269899, 0.010807624989756881, 0.010808082625127597, 0.010808599120789355, 0.010809154795106551, 0.010809735472487354, 0.010810330776591607, 0.010810932964780084, 0.010811536129875302, 0.010812135652597955, 0.010812727825740019, 0.010813309596258808, 0.010813878388401595, 0.010814431982476311, 0.010814968431762068, 0.010815486005477984, 0.010815983149479189, 0.010816458458948457, 0.010816910659156178, 0.010817338591613114, 0.010817741203807863, 0.010818117541320126, 0.010818466741512831, 0.010818788028287812, 0.010819080707580407, 0.010819344163396036, 0.010819577854275982, 0.010819781310134162, 0.010819954129440274, 0.010820095976745318, 0.010820206580556473, 0.010820285731573462, 0.010820333281299777, 0.010820349141041, 0.010820346396762583, 0.010820338160604273, 0.010820324422590547, 0.010820305166074309, 0.010820280367705326, 0.010820249997386297, 0.010820214018217053, 0.010820172386427331, 0.010820125051298783, 0.010820071955077134, 0.01082001303287547, 0.010819948212570018, 0.010819877414690154, 0.01081980055230447, 0.010819717530905678, 0.010819628248297151, 0.010819532594485072, 0.010819430451580613, 0.010819321693717904, 0.010819206186994463, 0.010819083789442518, 0.010818954351041373, 0.010818817713783077, 0.01081867371180658, 0.010818522171618631, 0.010818362912423961, 0.010818195746591906, 0.010818020480293084, 0.010817836914346964, 0.010817644845330356, 0.010817444067008485, 0.010817234372164196, 0.010817015554918447, 0.01081678741365719, 0.01081654975470699, 0.010816302396936074, 0.010816045177500653, 0.010815777959010951, 0.010815500638460505, 0.010815213158350566, 0.010814915520554122, 0.010814607803609074, 0.010814290184317408, 0.010813962964770378, 0.01081362660623713, 0.010813281771771351, 0.010812929379941166, 0.010812570672820604, 0.01081220730236182, 0.010811841440591446, 0.010811475920874121, 0.010811114419953863, 0.010810761693897161, 0.01081042388582718, 0.010810108930060574, 0.010809827086842558, 0.010809591655701511, 0.010809419935639091, 0.010809334530270999, 0.010809365140951691, 0.010809551059476698, 0.010809944678422919, 0.010810616505666204, 0.010811662441795721, 0.010813214528988722, 0.010815457142376946, 0.01081865192408844, 0.010823177151185541, 0.010829591685321669, 0.010838742300396798, 0.010851950762795947, 0.010871354738568493, 0.010900562723177503, 0.010945995318473093, 0.011019857847738204, 0.011147422471640439, 0.011387374862046553, 0.011899948797446561, 0.013244829026968455, 0.018383807796995034, 0.054788510577926768, 0.036424914241496173, 0.017567550102185133, 0.013891117022277836, 0.012629317019721469, 0.012046703647170597, 0.011727375094269894, 0.01153186915050723, 0.011402595467250897, 0.0113121574864749, 0.011246114587097645, 0.011196239015142471, 0.011157547353603241, 0.011126868671309345, 0.011102101668289085, 0.011081805623595026, 0.011064963687994849, 0.01105084002809446, 0.01103889044502112, 0.01102870467297791, 0.011019968093623626, 0.011012435710094696, 0.011005914069357225, 0.011000248460795871, 0.010995313692440835, 0.010991007340238012, 0.010987244737160553, 0.010983955206358189, 0.010981079197364171, 0.010978566087214479, 0.010976372477785861, 0.010974460868278298, 0.010972798614863182, 0.010971357112799169, 0.01097011115286199, 0.010969038415794099, 0.010968119077038499, 0.010967335500229146, 0.010966672002432405, 0.010966114677443815, 0.010965651265884006, 0.010965271062664411, 0.010964964853796921, 0.01096472487565143, 0.010964544790729893, 0.010964419674909982, 0.010964346011972843, 0.010964321692105043, 0.010964346011972841, 0.01096441967490998, 0.0109645447907299, 0.010964724875651432, 0.010964964853796918, 0.010965271062664404, 0.010965651265884006, 0.010966114677443817, 0.010966672002432409, 0.010967335500229148, 0.010968119077038502, 0.010969038415794094, 0.010970111152861988, 0.010971357112799169, 0.010972798614863187, 0.010974460868278297, 0.010976372477785859, 0.010978566087214465, 0.010981079197364178, 0.010983955206358195, 0.010987244737160552, 0.010991007340238012, 0.010995313692440835, 0.011000248460795871, 0.011005914069357232, 0.011012435710094696, 0.011019968093623631, 0.011028704672977903, 0.011038890445021118, 0.011050840028094462, 0.011064963687994861, 0.01108180562359503, 0.011102101668289096, 0.011126868671309362, 0.011157547353603262, 0.01119623901514244, 0.011246114587097603, 0.01131215748647495, 0.01140259546725092, 0.011531869150507124, 0.011727375094269769, 0.012046703647170483, 0.01262931701972188, 0.013891117022278358, 0.01756755010218361, 0.036424914241484613, 0.054788510577946127, 0.018383807796989164, 0.01324482902697164, 0.011899948797447057, 0.011387374862046561, 0.011147422471640788, 0.011019857847738294, 0.010945995318473158, 0.010900562723177546, 0.010871354738568496, 0.010851950762795959, 0.010838742300396807, 0.010829591685321674, 0.010823177151185543, 0.010818651924088441, 0.010815457142376939, 0.010813214528988724, 0.010811662441795726, 0.010810616505666209, 0.010809944678422919, 0.010809551059476697, 0.010809365140951689, 0.010809334530270992, 0.010809419935639095, 0.010809591655701507, 0.010809827086842555, 0.010810108930060571, 0.01081042388582718, 0.010810761693897166, 0.010811114419953865, 0.010811475920874116, 0.010811841440591448, 0.010812207302361815, 0.010812570672820609, 0.010812929379941171, 0.010813281771771347, 0.01081362660623713, 0.010813962964770376, 0.010814290184317411, 0.010814607803609074, 0.01081491552055412, 0.010815213158350564, 0.0108155006384605, 0.010815777959010954, 0.010816045177500651, 0.010816302396936078, 0.010816549754706988, 0.01081678741365719, 0.010817015554918447, 0.010817234372164199, 0.010817444067008481, 0.010817644845330352, 0.010817836914346958, 0.010818020480293086, 0.010818195746591904, 0.010818362912423961, 0.010818522171618626, 0.010818673711806575, 0.010818817713783076, 0.01081895435104137, 0.01081908378944252, 0.010819206186994461, 0.010819321693717906, 0.01081943045158062, 0.010819532594485072, 0.010819628248297153, 0.010819717530905682, 0.010819800552304476, 0.010819877414690154, 0.010819948212570018, 0.010820013032875466, 0.010820071955077136, 0.010820125051298783, 0.010820172386427327, 0.010820214018217053, 0.010820249997386296, 0.010820280367705324, 0.010820305166074309, 0.010820324422590547, 0.010820338160604277, 0.010820346396762583, 0.010820349141040995, 0.010820347769056122, 0.010820343653292515, 0.010820336794324025, 0.010820327193109675, 0.010820314850997685, 0.010820299769731038, 0.010820281951454703, 0.010820261398724605, 0.010820238114518297, 0.010820212102247402, 0.010820183365771995, 0.01082015190941688, 0.010820117737989954, 0.010820080856802678, 0.010820041271692843, 0.010819998989049742, 0.010819954015841899, 0.010819906359647476, 0.010819856028687638, 0.010819803031862954, 0.010819747378793213, 0.010819689079860756, 0.010819628146257653, 0.010819564590037117, 0.010819498424169354, 0.010819429662602282, 0.010819358320327533, 0.010819284413452231, 0.01081920795927693, 0.010819128976380371, 0.010819047484711649, 0.010818963505690418, 0.010818877062315938, 0.01081878817928578, 0.010818696883125105, 0.01081860320232751, 0.010818507167508677, 0.010818408811573942, 0.010818308169901357, 0.010818205280541705, 0.010818100184437221, 0.010817992925661084, 0.010817883551679766, 0.010817772113640753, 0.010817658666688327, 0.010817543270310686, 0.010817425988721615, 0.010817306891280897, 0.010817186052957711, 0.010817063554842106, 0.010816939484710214, 0.010816813937649567, 0.010816687016751841, 0.010816558833881305, 0.010816429510528401, 0.010816299178759215, 0.010816167982273152, 0.010816036077582896, 0.010815903635332833, 0.010815770841774546, 0.010815637900420779, 0.010815505033902606, 0.010815372486058471, 0.010815240524288249, 0.010815109442210924, 0.010814979562670945, 0.010814851241145645, 0.010814724869615423, 0.010814600880968807, 0.010814479754027658, 0.010814362019292862, 0.010814248265529642, 0.010814139147333948, 0.010814035393848471, 0.010813937818829864, 0.010813847332309213, 0.010813764954137044, 0.010813691829765087, 0.010813629248692263, 0.010813578666095676, 0.010813541728283908, 0.010813520302755803, 0.010813516513831853, 0.010813532785058208, 0.010813571889879556, 0.010813637012457033, 0.010813731820996271, 0.010813860556585314, 0.010814028141369879, 0.010814240310982725, 0.010814503777585771, 0.010814826431809695, 0.010815217594468596, 0.010815688332449648, 0.010816251858008531, 0.010816924037392601, 0.010817724044083762, 0.010818675205223467, 0.010819806108811803, 0.010821152066922678, 0.010822757070929466, 0.010824676435731878, 0.010826980422807053, 0.010829759275781919, 0.010833130329666478, 0.010837248222336272, 0.010842319844861156, 0.010848626700312745, 0.010856559148294953, 0.010866670281336475, 0.010879763314257093, 0.010897038376855128, 0.010920349269277747, 0.01095267431557796, 0.010999029621701569, 0.011068363776347344, 0.011177825182601157, 0.011363402065804549, 0.011710041742316412, 0.012451037013770826, 0.014342449184826411, 0.019452441757584777, 0.021586896614630674, 0.015767031015278713, 0.013127300195794334, 0.012104326689154475, 0.01163199912567579, 0.011379469254559136, 0.011067313273725003, 0.010959745083648262, 0.010909926425038113, 0.010882825399939611, 0.010866673285809786, 0.010856639965665483, 0.010850487897557723, 0.010847121011531666, 0.010846022491858696, 0.01084701701932957, 0.010850169813155144, 0.010855752468469308, 0.010864247567324001, 0.010876380170176295, 0.01089316928818999, 0.010915989394309926, 0.010946618204648951, 0.0109872151136408, 0.011040116537011629, 0.011107257092134105, 0.011188997925717164, 0.011282363176966346, 0.011379410268372157, 0.011467459986315388, 0.011532735301641599, 0.011566195031117122, 0.011567314892579094, 0.011542917517716031, 0.011502788226666585, 0.011455755501937845, 0.011407981849078298, 0.011362997698210434, 0.011322427928702635, 0.011286741865835542, 0.011255797913398815, 0.011229178063513891, 0.011206372236634662, 0.011186870697043173, 0.011170205075016501, 0.011155962544537138, 0.011143786926664984, 0.011133374049598356, 0.01112446509228927, 0.011116839703254378, 0.011110309680830774, 0.011104713496601099, 0.011099911702378272, 0.011095783154881344, 0.011092221953288144, 0.011089134977970689, 0.011086439925927399, 0.011084063750809165, 0.011081941428784039, 0.01108001498397878, 0.011078232718243982, 0.01107654859943041, 0.011074921770391237, 0.011073316147758345, 0.011071700085396711, 0.011070046082498765, 0.011068330520673192, 0.011066533418203586, 0.011064638192959442, 0.011062631428270908, 0.011060502638453448, 0.01105824403260466, 0.011055850276814216, 0.011053318256052644, 0.011050646837768676, 0.011047836639667248, 0.011044889804307994, 0.01104180978310677, 0.011038601132091614, 0.011035269321410735, 0.0110318205601584, 0.011028261637617304, 0.011024599781545553, 0.011020842533690988, 0.011016997642313184, 0.011013072971147668, 0.011009076423963869, 0.011005015883649615, 0.011000899164598808, 0.010996733977079676, 0.010992527902212407, 0.010988288376179132, 0.010984022682317416, 0.010979737949804126, 0.010975441157710928, 0.010971139143300642, 0.010966838613529154, 0.01096254615881586, 0.010958268268244099, 0.010954011345448045, 0.010949781724533059, 0.010945585685461143, 0.010941429468411031, 0.010937319286694301, 0.010933261337874015, 0.010929261812791729, 0.010925326902263425, 0.010921462801254417, 0.010917675710390085, 0.010913971834702555, 0.010910357379555617, 0.010906838543729569, 0.010903421509687865, 0.010900112431085776, 0.010896917417620089, 0.010893842517357064, 0.010890893696714501, 0.010888076818310517, 0.010885397616928749, 0.010882861673884251, 0.01088047439010718, 0.010878240958290488, 0.01087616633447382, 0.010874255209456035, 0.010872511980444326, 0.010870940723355905, 0.010869545166190068, 0.010868328663881878, 0.010867294175034424, 0.010866444240904527, 0.01086578096698549, 0.010865306007493461, 0.010865020553018063, 0.010864925321546924, 0.010864988812055153, 0.010865179157849091, 0.010865495982194783, 0.010865938658723113, 0.010866506313689073, 0.010867197829090618, 0.010868011846604107, 0.010868946772281302, 0.010870000781942552, 0.010871171827190471, 0.01087245764195941, 0.010873855749507774, 0.010875363469753206, 0.010876977926844571, 0.01087869605685997, 0.010880514615516016, 0.010882430185771825, 0.01088443918520922, 0.010886537873071256, 0.010888722356842309, 0.010890988598255383, 0.010893332418616482, 0.01089574950334065, 0.010898235405601225, 0.010900785549001644, 0.010903395229188552, 0.0109060596143364, 0.010908773744446732, 0.01091153252942012, 0.010914330745876678, 0.010917163032720313, 0.010920023885465324, 0.01092290764936988, 0.010925808511450202, 0.010928720491483633, 0.010931637432146373, 0.010934552988474589, 0.010937460616885261, 0.010940353564045954, 0.010943224855940584, 0.010946067287540728, 0.010948873413559181, 0.010951635540832293, 0.010954345722949803, 0.010956995757822486, 0.010959577188947068, 0.010962081311190176, 0.010964499181965447, 0.010966821638714265, 0.010969039323615738, 0.010971142716438398, 0.010973122176398181, 0.010974967993796693, 0.010976670452073707, 0.010978219900712275, 0.010979606839178542, 0.010980822011759298, 0.010981856512778857, 0.010982701901238368, 0.010983350323434688, 0.010983794641597962, 0.010984028566058462, 0.010984046787941192, 0.010983845108922672, 0.010983420564204274, 0.010982771534596238, 0.010981897843501939, 0.01098080083467225, 0.010979483426887204, 0.010977950142226068, 0.010976207105302968, 0.010974262011751329, 0.01097212406530116, 0.010969803883953985, 0.0109673133769584, 0.010964665595453423, 0.010961874560703919, 0.010958955074736636, 0.010955922518839917, 0.010952792645776369, 0.010949581371655996, 0.010946304573229039, 0.010942977895905842, 0.010939616577135214, 0.01093623528892554, 0.010932848002337056, 0.010929467875770075, 0.010926107167885364, 0.010922777175069126, 0.010919488192539861, 0.010916249497516276, 0.01091306935234017, 0.010909955025081308, 0.010906912824936089, 0.010903948149654319, 0.010901065542269354, 0.010898268754543847, 0.01089556081475174, 0.010892944097675673, 0.010890420394985464, 0.010887990984460961, 0.010885656696816216, 0.010883417979160828, 0.010881274954390608, 0.010879227476027939, 0.010877275178230734, 0.010875417520855989, 0.010873653829601425, 0.01087198333135809, 0.010870405184990717, 0.010868918507824125, 0.010867522398156224, 0.010866215954144085, 0.010864998289422164, 0.010863868545813561, 0.0108628259034887, 0.010861869588912587, 0.010860998880904268, 0.010860213115110852, 0.010859511687175132, 0.01085889405485109, 0.010858359739296308, 0.010857908325744322, 0.010857539463735043, 0.010857252867055673, 0.010857048313520098, 0.010856925644690858, 0.010856884765623555], [0.0093150792880741483, 0.0093151560800894748, 0.009315386378050506, 0.0093157699488264391, 0.0093163064076070851, 0.0093169952234947364, 0.0093178357272936541, 0.0093188271214601007, 0.0093199684921672302, 0.009321258823432722, 0.0093226970132531759, 0.0093242818916868236, 0.0093260122408274776, 0.0093278868166168597, 0.0093299043724498227, 0.0093320636845384448, 0.0093343635790166368, 0.0093368029607869656, 0.0093393808441361564, 0.0093420963851766764, 0.0093449489162079451, 0.0093479379821347075, 0.0093510633791308202, 0.0093543251957978364, 0.0093577238571383968, 0.009361260171748308, 0.0093649353827304251, 0.0093687512229504635, 0.0093727099753950251, 0.0093768145395599928, 0.0093810685049991616, 0.0093854762334092054, 0.0093900429509258757, 0.0093947748526750034, 0.0093996792220767972, 0.0094047645679687548, 0.0094100407833213745, 0.0094155193302150105, 0.0094212134568797817, 0.0094271384540468035, 0.0094333119597179334, 0.0094397543238652799, 0.0094464890477029967, 0.0094535433162832045, 0.0094609486486013049, 0.0094687416966399499, 0.0094769652345218849, 0.0094856693921622267, 0.0094949132059311842, 0.0095047665839376218, 0.0095153128187099624, 0.0095266518299271952, 0.0095389043915399263, 0.0095522177021483343, 0.0095667728123201221, 0.0095827946557716075, 0.0096005657893344868, 0.0096204455074673859, 0.0096428968956481266, 0.0096685258629336975, 0.0096981386861925752, 0.0097328289387169399, 0.0097741125016987864, 0.0098241440351274478, 0.0098860770865618029, 0.0099646895655864983, 0.010067527218079901, 0.010207127307908501, 0.010405684706372022, 0.010705831160934409, 0.011198875990750711, 0.012112757542330472, 0.014165676550908144, 0.020744073429872143, 0.070041086381060602, 0.077078457131880967, 0.018069915749578894, 0.012070100102423084, 0.010510288661227808, 0.0099170175760443027, 0.0096414629045470639, 0.00949683957116014, 0.0094144697255690822, 0.0093647577074243253, 0.0093334448722727122, 0.0093130709273061829, 0.0092994779477521168, 0.0092902306643307103, 0.0092838450086294259, 0.0092793869680427524, 0.0092762529224207028, 0.0092740440441575322, 0.009272491814474499, 0.0092714124648712332, 0.0092706783683461445, 0.0092701996685048502, 0.00926991225744234, 0.009269769781613672, 0.0092697382541950014, 0.0092697923829065734, 0.0092699130432752214, 0.009270085526095732, 0.0092702983135259358, 0.0092705422191968131, 0.0092708097807230588, 0.0092710948282138973, 0.0092713921760765507, 0.0092716974015172662, 0.0092720066842037815, 0.0092723166892002464, 0.0092726244806067021, 0.009272927457055706, 0.0092732233028298729, 0.0092735099502019303, 0.0092737855498946191, 0.0092740484474725243, 0.0092742971641238976, 0.0092745303807465155, 0.009274746924573531, 0.0092749457578019962, 0.0092751259678464249, 0.009275286758951921, 0.0092754274449802915, 0.0092755474432377125, 0.0092756462692513888, 0.0092757235324299712, 0.0092757789325618716, 0.0092758122571194018, 0.0092758233793470025, 0.0092758213390190265, 0.009275815216004131, 0.0092758050042088223, 0.009275790693475422, 0.0092757722695796224, 0.0092757497142277219, 0.0092757230050542604, 0.0092756921156209246, 0.0092756570154179305, 0.0092756176698694064, 0.0092755740403444656, 0.0092755260841762555, 0.0092754737546916384, 0.0092754170012545097, 0.0092753557693268669, 0.0092752900005518175, 0.0092752196328642171, 0.009275144600635235, 0.0092750648348586488, 0.0092749802633880392, 0.0092748908112357895, 0.0092747964009471905, 0.0092746969530651327, 0.0092745923867043559, 0.0092744826202576878, 0.009274367572261388, 0.0092742471624521709, 0.0092741213130550781, 0.0092739899503497328, 0.0092738530065721286, 0.0092737104222216683, 0.0092735621488577672, 0.0092734081524892143, 0.0092732484176819025, 0.0092730829525391936, 0.0092729117947443259, 0.0092727350188983124, 0.0092725527454421766, 0.0092723651515218899, 0.0092721724842426117, 0.0092719750768706331, 0.0092717733686843197, 0.0092715679293586782, 0.0092713594890044878, 0.0092711489752893752, 0.0092709375594679389, 0.0092707267136723278, 0.0092705182825074065, 0.0092703145729152742, 0.0092701184675073427, 0.0092699335682266334, 0.0092697643794673393, 0.0092696165428871116, 0.0092694971404522868, 0.0092694150882786288, 0.0092693816523429506, 0.0092694111293117193, 0.0092695217533440358, 0.0092697369155460944, 0.0092700868211425154, 0.0092706107673834522, 0.0092713603141545455, 0.0092724037582609022, 0.0092738325439142896, 0.009275770602828172, 0.0092783882193548609, 0.0092819230474454738, 0.009286712726144241, 0.0092932468604612975, 0.009302252423881878, 0.0093148390762980739, 0.0093327567365692737, 0.0093588746533169002, 0.0093981253768704968, 0.0094595004820344844, 0.0095606578114623454, 0.0097398324960349374, 0.010091673315243847, 0.010900906444939611, 0.013335734073786992, 0.025654426299761512, 0.070798820903126253, 0.02196859822545532, 0.013759911392245432, 0.011607496396454062, 0.010745213835236805, 0.010311599172267021, 0.010061042496399665, 0.0099021227093991065, 0.0097943880779648319, 0.0097176301590227963, 0.0096608026422503011, 0.0096174329633845149, 0.0095835129333297214, 0.0095564460314058082, 0.0095344860329295671, 0.0095164208184431894, 0.009501385908917746, 0.0094887501133738509, 0.0094780429917149731, 0.0094689074673066521, 0.0094610680571814883, 0.009454309078000659, 0.0094484593859399807, 0.0094433814935250254, 0.0094389636786801016, 0.0094351141775237037, 0.0094317568530994881, 0.0094288279260814432, 0.0094262734809024366, 0.0094240475459778927, 0.0094221106046124305, 0.0094204284331058843, 0.009418971190458994, 0.0094177127037699919, 0.0094166299074540175, 0.0094157024045093858, 0.0094149121253562507, 0.0094142430650865604, 0.0094136810838543264, 0.0094132137580071624, 0.0094128302717109823, 0.0094125213404693733, 0.0094122791592541159, 0.0094120973690667003, 0.0094119710367355641, 0.0094118966436846641, 0.0094118720803289431, 0.0094118966436846589, 0.0094119710367355607, 0.0094120973690666986, 0.0094122791592541159, 0.0094125213404693698, 0.0094128302717109789, 0.0094132137580071624, 0.0094136810838543281, 0.0094142430650865656, 0.0094149121253562593, 0.0094157024045093875, 0.009416629907454014, 0.0094177127037699919, 0.0094189711904589992, 0.009420428433105886, 0.0094221106046124305, 0.009424047545977891, 0.0094262734809024227, 0.0094288279260814484, 0.0094317568530994933, 0.0094351141775236985, 0.0094389636786801033, 0.0094433814935250254, 0.0094484593859399824, 0.0094543090780006608, 0.0094610680571814952, 0.0094689074673066521, 0.0094780429917149696, 0.009488750113373844, 0.0095013859089177494, 0.0095164208184432015, 0.0095344860329295705, 0.0095564460314058151, 0.0095835129333297388, 0.0096174329633845427, 0.0096608026422502647, 0.0097176301590227478, 0.0097943880779648874, 0.0099021227093991342, 0.010061042496399542, 0.010311599172266863, 0.010745213835236654, 0.011607496396454652, 0.013759911392246331, 0.021968598225450952, 0.070798820903115109, 0.025654426299768097, 0.013335734073784552, 0.010900906444941417, 0.010091673315244177, 0.0097398324960349426, 0.0095606578114626126, 0.0094595004820345607, 0.0093981253768705506, 0.0093588746533169436, 0.0093327567365692806, 0.0093148390762980877, 0.0093022524238818832, 0.009293246860461301, 0.009286712726144241, 0.0092819230474454756, 0.0092783882193548609, 0.0092757706028281772, 0.009273832543914293, 0.0092724037582609057, 0.0092713603141545455, 0.0092706107673834522, 0.0092700868211425102, 0.0092697369155460927, 0.009269521753344041, 0.0092694111293117193, 0.0092693816523429506, 0.0092694150882786253, 0.0092694971404522937, 0.0092696165428871186, 0.0092697643794673393, 0.0092699335682266334, 0.0092701184675073427, 0.0092703145729152656, 0.0092705182825074083, 0.0092707267136723347, 0.0092709375594679389, 0.0092711489752893735, 0.0092713594890044861, 0.0092715679293586765, 0.0092717733686843197, 0.0092719750768706331, 0.00927217248424261, 0.0092723651515218865, 0.0092725527454421766, 0.0092727350188983124, 0.0092729117947443242, 0.0092730829525391936, 0.0092732484176819042, 0.0092734081524892143, 0.0092735621488577672, 0.0092737104222216649, 0.0092738530065721286, 0.0092739899503497258, 0.0092741213130550781, 0.0092742471624521743, 0.0092743675722613932, 0.0092744826202576843, 0.0092745923867043525, 0.0092746969530651327, 0.009274796400947187, 0.009274890811235793, 0.0092749802633880375, 0.0092750648348586505, 0.009275144600635235, 0.0092752196328642188, 0.0092752900005518158, 0.0092753557693268703, 0.0092754170012545149, 0.0092754737546916367, 0.0092755260841762572, 0.0092755740403444621, 0.0092756176698694046, 0.0092756570154179322, 0.0092756921156209229, 0.0092757230050542639, 0.0092757497142277219, 0.0092757722695796189, 0.0092757906934754237, 0.0092758050042088241, 0.0092758152160041345, 0.0092758213390190282, 0.009275823379346999, 0.00927582235929157, 0.009275819299412659, 0.0092758142005733082, 0.0092758070642149394, 0.0092757978923619418, 0.009275786687628098, 0.0092757734532248858, 0.0092757581929717378, 0.0092757409113082816, 0.009275721613308625, 0.0092757003046977649, 0.0092756769918701763, 0.0092756516819107737, 0.0092756243826182007, 0.0092755951025307194, 0.0092755638509547274, 0.0092755306379961617, 0.0092754954745948425, 0.0092754583725620596, 0.0092754193446215032, 0.0092753784044538913, 0.0092753355667454448, 0.0092752908472405436, 0.0092752442627988697, 0.0092751958314573838, 0.0092751455724975028, 0.0092750935065178657, 0.0092750396555132605, 0.0092749840429600487, 0.0092749266939087839, 0.0092748676350845917, 0.0092748068949959645, 0.0092747445040527749, 0.0092746804946942773, 0.0092746149015281009, 0.0092745477614811344, 0.0092744791139635734, 0.0092744090010472187, 0.0092743374676595835, 0.0092742645617952379, 0.0092741903347461317, 0.0092741148413528762, 0.0092740381402790437, 0.009273960294310931, 0.0092738813706854332, 0.0092738014414490283, 0.0092737205838512721, 0.0092736388807765011, 0.0092735564212180367, 0.0092734733007996881, 0.0092733896223498972, 0.0092733054965346631, 0.0092732210425560992, 0.009273136388924479, 0.0092730516743126188, 0.0092729670485026897, 0.0092728826734369916, 0.0092727987243857498, 0.0092727153912469974, 0.0092726328799957718, 0.0092725514143022665, 0.0092724712373417791, 0.0092723926138225908, 0.0092723158322620784, 0.0092722412075460642, 0.0092721690838122213, 0.00927209983770475, 0.0092720338820557087, 0.0092719716700574734, 0.0092719137000023006, 0.0092718605206778514, 0.0092718127375239403, 0.0092717710196747478, 0.0092717361080338779, 0.0092717088245578422, 0.00927169008295743, 0.0092716809010681672, 0.0092716824151917038, 0.0092716958967726526, 0.0092717227718524167, 0.0092717646438372804, 0.0092718233202370628, 0.0092719008441797292, 0.0092719995316949012, 0.0092721220159959917, 0.0092722713002923295, 0.0092724508210474902, 0.0092726645240959575, 0.0092729169566713645, 0.009273213379235843, 0.0092735599020967955, 0.0092739636532482451, 0.0092744329858067565, 0.00927497773600937, 0.0092756095462624717, 0.0092763422725483831, 0.0092771925021567034, 0.0092781802170094664, 0.0092793296509929533, 0.0092806704085063915, 0.0092822389386753232, 0.0092840804997056849, 0.0092862518075804024, 0.0092888246538994565, 0.0092918909175797523, 0.0092955696154726868, 0.0093000169914667988, 0.0093054412276089484, 0.0093121243480931825, 0.0093204556052301074, 0.0093309837251629776, 0.0093445011488229868, 0.0093621845887647409, 0.0093858389994031753, 0.0094183410291057215, 0.0094644901874033228, 0.0095327527287727646, 0.0096391294461461077, 0.0098166156774403233, 0.01014133126224189, 0.01081614644357764, 0.012477725407868713, 0.016999628263889954, 0.020639887864096276, 0.014915606230106805, 0.011849331416801607, 0.010675628111187867, 0.01014650600910747, 0.0096035122941378389, 0.0094490361162353903, 0.0093844098844040602, 0.00935152787669178, 0.0093329240217637777, 0.0093219125398920927, 0.0093155344575172588, 0.0093123787520130088, 0.0093117819287710877, 0.009313500753019413, 0.0093175744475251353, 0.0093242749155375004, 0.0093341055116665569, 0.0093478319861919554, 0.0093665367593592334, 0.0093916851267191251, 0.0094251767777378363, 0.0094693197486112532, 0.0095265965114735059, 0.0095990009077124693, 0.0096866921100535654, 0.0097859778711509478, 0.0098875166730478942, 0.0099768111223400707, 0.010038727466298296, 0.010064294098923194, 0.010054572623807332, 0.010018563524673918, 0.0099677853760166517, 0.0099119413217418992, 0.0098573584866353849, 0.00980734524253421, 0.0097631725096023088, 0.0097249607445851344, 0.0096922772730039901, 0.0096644799531772994, 0.0096408933217312209, 0.0096208884032043546, 0.0096039119147400195, 0.0095894909467334078, 0.0095772269471890523, 0.0095667859291898028, 0.0095578881505793741, 0.0095502986481630775, 0.0095438190988427242, 0.0095382810610860277, 0.0095335404753837984, 0.0095294732447747613, 0.0095259717120509905, 0.0095229418673990988, 0.0095203011440498919, 0.0095179766833495914, 0.0095159039719248488, 0.0095140257715888212, 0.0095122912774602154, 0.009510655451882696, 0.0095090784916461654, 0.0095075253941877876, 0.009505965595269188, 0.0095043726563794097, 0.0095027239850105638, 0.0095010005751403302, 0.0094991867588276272, 0.0094972699628450615, 0.0094952404667774347, 0.0094930911610376714, 0.0094908173048231306, 0.0094884162851868771, 0.0094858873791713056, 0.0094832315213905088, 0.0094804510796042685, 0.0094775496407550324, 0.0094745318096938844, 0.0094714030224552145, 0.0094681693755002457, 0.0094648374718784671, 0.0094614142847871952, 0.0094579070385701729, 0.0094543231068041217, 0.0094506699267899053, 0.0094469549294978247, 0.0094431854838154892, 0.0094393688538078665, 0.0094355121676181399, 0.0094316223966053846, 0.0094277063433251557, 0.0094237706370003307, 0.009419821735197325, 0.0094158659305066915, 0.0094119093611228118, 0.0094079580243191033, 0.0094040177919171037, 0.009400094426949621, 0.009396193600813979, 0.0093923209103025564, 0.0093884818939815266, 0.0093846820474652402, 0.0093809268372033842, 0.0093772217124606389, 0.0093735721152249582, 0.009369983487831815, 0.0093664612781381787, 0.0093630109421228517, 0.0093596379438295099, 0.0093563477526070436, 0.009353145837637673, 0.0093500376597793269, 0.0093470286607837336, 0.009344124249986447, 0.0093413297886000696, 0.009338650571776597, 0.0093360918086388446, 0.0093336586005145251, 0.0093313559176386365, 0.00932918857461984, 0.0093271612049938696, 0.0093252782352108397, 0.0093235438584224496, 0.0093219620084497162, 0.0093205363343194167, 0.0093192701757593942, 0.0093181665400370057, 0.0093172280805117642, 0.009316457077252786, 0.0093158554200426808, 0.0093154245940547404, 0.0093151656684476586, 0.0093150792880741483, 0.0093151368775429479, 0.0093153095328172546, 0.0093155969149240903, 0.0093159984603131945, 0.0093165133829434862, 0.0093171406771627996, 0.0093178791213405793, 0.009318727282201943, 0.0093196835198019398, 0.0093207459930690194, 0.009321912665838419, 0.0093231813132882875, 0.0093245495286850121, 0.0093260147303381811, 0.0093275741686615187, 0.0093292249332320668, 0.0093309639597383542, 0.0093327880367063253, 0.0093346938118922911, 0.0093366777982331044, 0.0093387363792458954, 0.009340865813773495, 0.0093430622399757971, 0.0093453216784738415, 0.0093476400345600501, 0.0093500130993969827, 0.0093524365501370197, 0.0093549059489074684, 0.0093574167406189051, 0.0093599642495710306, 0.0093625436748481471, 0.0093651500845176958, 0.0093677784086695411, 0.0093704234313607727, 0.0093730797815628816, 0.0093757419232434226, 0.0093784041447545624, 0.0093810605477460014, 0.0093837050358699693, 0.0093863313036008506, 0.0093889328255521813, 0.0093915028467379761, 0.0093940343742930782, 0.0093965201712371393, 0.0093989527529371852, 0.009401324386991405, 0.0094036270973193968, 0.0094058526732968811, 0.009407992684811229, 0.0094100385041324501, 0.0094119813354859774, 0.0094138122531717758, 0.0094155222489920431, 0.0094171022896195576, 0.0094185433843550544, 0.0094198366634791076, 0.0094209734671001702, 0.0094219454440355108, 0.0094227446598405228, 0.0094233637126339316, 0.0094237958548659614, 0.0094240351186649588, 0.0094240764419008961, 0.0094239157916532496, 0.0094235502813998506, 0.009422978277988903, 0.0094221994943521816, 0.0094212150639930315, 0.0094200275935591663, 0.0094186411902970023, 0.0094170614618765205, 0.0094152954869520921, 0.0094133517558494945, 0.0094112400818898399, 0.0094089714850153633, 0.0094065580504998463, 0.0094040127665382008, 0.0094013493453497417, 0.0093985820330454856, 0.0093957254138632498, 0.0093927942144488644, 0.0093898031136601789, 0.009386766562916064, 0.0093836986214459097, 0.0093806128099683406, 0.0093775219854013887, 0.0093744382382413248, 0.0093713728133019928, 0.0093683360536300341, 0.009365337366643911, 0.0093623852109123336, 0.0093594871015048736, 0.0093566496315172464, 0.0093538785071885996, 0.009351178593973497, 0.0093485539709876782, 0.0093460079913919823, 0.0093435433464890711, 0.0093411621315625439, 0.0093388659117662406, 0.0093366557866575491, 0.0093345324522481083, 0.0093324962597088629, 0.0093305472701064023, 0.009328685304760255, 0.0093269099909937085, 0.0093252208032040852, 0.0093236170993030165, 0.0093220981526755536, 0.0093206631798812001, 0.009319311364373797, 0.0093180418765526664, 0.0093168538904785103, 0.0093157465975963888, 0.0093147192178072141, 0.0093137710082210803, 0.0093129012699116366, 0.0093121093529729606, 0.0093113946601596168, 0.0093107566493680002, 0.0093101948351934499, 0.0093097087897739302, 0.0093092981431065758, 0.0093089625830003065, 0.0093087018548039472, 0.0093085157610267311, 0.0093084041609461446, 0.009308366970275905], [0.0083361758262049564, 0.0083362483777177625, 0.0083364659601092572, 0.0083368283580310832, 0.0083373352162052564, 0.0083379860448594204, 0.0083387802272993951, 0.0083397170295842465, 0.0083407956122612016, 0.0083420150441119532, 0.0083433743178586012, 0.0083448723677758546, 0.0083465080891580098, 0.0083482803595941856, 0.0083501880620134774, 0.0083522301094737603, 0.0083544054716844767, 0.0083567132032747495, 0.0083591524738437506, 0.0083617225998625852, 0.0083644230785342652, 0.0083672536237640507, 0.0083702142044450225, 0.0083733050853272029, 0.0083765268708120722, 0.008379880552101716, 0.0083833675582354033, 0.0083869898116689205, 0.0083907497891990632, 0.0083946505892121288, 0.0083986960064479227, 0.0084028906157309503, 0.0084072398664370197, 0.0084117501898546745, 0.0084164291220852616, 0.008421285445729728, 0.0084263293543683539, 0.0084315726447978454, 0.0084370289432080664, 0.0084427139730387478, 0.008448645874264105, 0.0084548455864572065, 0.0084613373113872157, 0.0084681490753808226, 0.00847531341761972, 0.0084828682384945411, 0.0084908578528648266, 0.0084993343076955122, 0.0085083590436678957, 0.0085180050083735297, 0.0085283593681411834, 0.0085395270217899256, 0.0085516352009094021, 0.0085648395605667019, 0.0085793323422295904, 0.0085953534606639809, 0.0086132057842377915, 0.008633276538070599, 0.0086560678270058908, 0.0086822410472502509, 0.0087126829821987072, 0.0087486067173549228, 0.0087917102773449416, 0.0088444345133380751, 0.0089103990136339389, 0.0089951735237747445, 0.0091077199333514207, 0.0092632730640286234, 0.0094895914265284813, 0.0098420309180646884, 0.01044537490270879, 0.011635246980759434, 0.014605181895402327, 0.026492359642438849, 0.169266265781289, 0.036151708252377124, 0.013984593461399278, 0.010432117791538341, 0.0093284753383480468, 0.0088676084305672753, 0.0086403104833978374, 0.0085156351638644365, 0.0084420327803575862, 0.008396181911129336, 0.0083664231874505529, 0.0083464730368746683, 0.0083327419526134112, 0.0083230823733200093, 0.0083161604977538446, 0.0083111221108431565, 0.0083074059592869436, 0.0083046351827308837, 0.0083025519288346724, 0.0083009767971697849, 0.0082997830425391734, 0.0082988798101641132, 0.0082982010392011526, 0.0082976980026509203, 0.0082973342249164465, 0.0082970819796752207, 0.0082969198529620723, 0.0082968310328929706, 0.0082968021001213182, 0.0082968221663234382, 0.0082968822563436705, 0.0082969748619928733, 0.0082970936174307109, 0.0082972330610875753, 0.0082973884594660253, 0.0082975556753917164, 0.0082977310683489992, 0.0082979114181032376, 0.0082980938653336965, 0.0082982758647898412, 0.0082984551477561768, 0.0082986296915174857, 0.0082987976941637873, 0.0082989575535368822, 0.0082991078494516965, 0.0082992473285630319, 0.0082993748914188051, 0.0082994895813634662, 0.008299590575044152, 0.0082996771743361689, 0.0082997487995517157, 0.0082998049838304191, 0.008299845368636467, 0.0082998697003071782, 0.0082998778276136415, 0.0082998762290194539, 0.0082998714319969264, 0.0082998634328289318, 0.0082998522253296576, 0.0082998378008591524, 0.0082998201483444611, 0.0082997992543083175, 0.008299775102906453, 0.0082997476759749805, 0.0082997169530897169, 0.0082996829116395426, 0.0082996455269165048, 0.0082996047722258253, 0.0082995606190194582, 0.008299513037057879, 0.0082994619946051406, 0.0082994074586636313, 0.0082993493952557961, 0.0082992877697616613, 0.0082992225473224115, 0.0082991536933222591, 0.0082990811739632291, 0.008299004956949867, 0.0082989250123044998, 0.0082988413133372914, 0.008298753837800139, 0.0082986625692591069, 0.0082985674987268235, 0.0082984686266047037, 0.008298365964994725, 0.008298259540452952, 0.0082981493972718, 0.0082980356013966153, 0.0082979182451045942, 0.0082977974526021667, 0.0082976733867315081, 0.0082975462570198597, 0.0082974163293592137, 0.0082972839376711065, 0.0082971494979962764, 0.0082970135255559553, 0.0082968766554678709, 0.0082967396679738958, 0.0082966035192592238, 0.0082964693792308176, 0.0082963386779960832, 0.0082962131632699533, 0.008296094971578509, 0.0082959867169732707, 0.0082958916020970438, 0.0082958135579536806, 0.008295757420777929, 0.0082957291571889597, 0.0082957361526460275, 0.0082957875835525628, 0.0082958949008310537, 0.0082960724633985641, 0.0082963383751984039, 0.0082967156015754818, 0.0082972334733917661, 0.0082979297360320781, 0.0082988533745071199, 0.0083000685603098374, 0.0083016602459143433, 0.0083037422225512095, 0.0083064689333871133, 0.0083100531377779778, 0.0083147929157141691, 0.0083211139947510868, 0.0083296380025133388, 0.0083412961616990151, 0.0083575259474959196, 0.0083806265737171922, 0.0084144361142910878, 0.0084657054125938606, 0.008547111659739327, 0.0086845532195296837, 0.0089372403506511877, 0.0094637439136368781, 0.010803492815295534, 0.015698508812175764, 0.049879305449096231, 0.038817282725539415, 0.015715228732195372, 0.011534683883910331, 0.010156698034819729, 0.0095355320672236461, 0.0092007047827882237, 0.0089983061342807664, 0.0088658517599242044, 0.0087739945491469538, 0.0087074225705461167, 0.0086574851420390259, 0.0086189804836042747, 0.0085886196156356315, 0.0085642352528440199, 0.0085443489535680945, 0.0085279220503375053, 0.0085142060923841575, 0.0085026497005288634, 0.0084928386891151789, 0.0084844564911269633, 0.0084772573538556186, 0.0084710477846172225, 0.008465673454843033, 0.0084610097938720586, 0.008456955125881651, 0.008453425591128683, 0.0084503513397733016, 0.0084476736472449496, 0.0084453427065453567, 0.0084433159245701946, 0.0084415565985517683, 0.008440032882707043, 0.0084387169790173452, 0.0084375845029729269, 0.0084366139872137889, 0.0084357864947231694, 0.0084350853195672079, 0.0084344957578103216, 0.0084340049346583578, 0.0084336016764432267, 0.008433276418021848, 0.0084330211377105276, 0.0084328293131560473, 0.0084326958926611642, 0.008432617277510393, 0.0084325913118316193, 0.0084326172775103878, 0.008432695892661159, 0.0084328293131560525, 0.0084330211377105276, 0.0084332764180218411, 0.0084336016764432198, 0.0084340049346583561, 0.0084344957578103268, 0.0084350853195672097, 0.0084357864947231763, 0.0084366139872137907, 0.0084375845029729217, 0.00843871697901734, 0.0084400328827070464, 0.00844155659855177, 0.0084433159245701928, 0.0084453427065453533, 0.0084476736472449392, 0.0084503513397733085, 0.0084534255911286882, 0.008456955125881644, 0.0084610097938720586, 0.0084656734548430347, 0.0084710477846172243, 0.0084772573538556221, 0.0084844564911269668, 0.0084928386891151807, 0.0085026497005288564, 0.0085142060923841523, 0.0085279220503375105, 0.0085443489535681084, 0.0085642352528440234, 0.0085886196156356402, 0.0086189804836042973, 0.0086574851420390554, 0.0087074225705460716, 0.0087739945491468983, 0.0088658517599242721, 0.0089983061342808028, 0.0092007047827880554, 0.009535532067223405, 0.010156698034819474, 0.011534683883911358, 0.015715228732197137, 0.038817282725526848, 0.049879305449116791, 0.015698508812177919, 0.010803492815294313, 0.0094637439136379814, 0.0089372403506514115, 0.0086845532195296837, 0.0085471116597395352, 0.0084657054125939213, 0.0084144361142911329, 0.0083806265737172304, 0.0083575259474959248, 0.0083412961616990289, 0.0083296380025133475, 0.0083211139947510938, 0.0083147929157141708, 0.0083100531377779778, 0.0083064689333871115, 0.0083037422225512129, 0.0083016602459143485, 0.0083000685603098392, 0.0082988533745071199, 0.0082979297360320798, 0.0082972334733917644, 0.0082967156015754783, 0.0082963383751984057, 0.0082960724633985641, 0.008295894900831052, 0.0082957875835525628, 0.008295736152646031, 0.0082957291571889632, 0.0082957574207779307, 0.0082958135579536789, 0.008295891602097042, 0.0082959867169732672, 0.0082960949715785125, 0.008296213163269955, 0.0082963386779960797, 0.0082964693792308142, 0.0082966035192592238, 0.0082967396679738993, 0.0082968766554678743, 0.0082970135255559553, 0.0082971494979962764, 0.0082972839376711047, 0.0082974163293592137, 0.0082975462570198597, 0.0082976733867315099, 0.0082977974526021649, 0.0082979182451045925, 0.008298035601396617, 0.0082981493972718035, 0.0082982595404529486, 0.008298365964994725, 0.0082984686266046985, 0.0082985674987268235, 0.0082986625692591104, 0.0082987538378001408, 0.0082988413133372879, 0.0082989250123044998, 0.0082990049569498653, 0.0082990811739632291, 0.0082991536933222608, 0.0082992225473224063, 0.0082992877697616631, 0.0082993493952557996, 0.0082994074586636313, 0.0082994619946051389, 0.0082995130370578773, 0.0082995606190194617, 0.0082996047722258236, 0.0082996455269165065, 0.0082996829116395408, 0.0082997169530897169, 0.0082997476759749805, 0.0082997751029064513, 0.0082997992543083175, 0.0082998201483444594, 0.008299837800859149, 0.0082998522253296594, 0.00829986343282893, 0.0082998714319969281, 0.0082998762290194556, 0.008299877827613638, 0.0082998770283970267, 0.0082998746310929336, 0.0082998706367395439, 0.0082998650470703719, 0.0082998578645191133, 0.0082998490922264623, 0.0082998387340488897, 0.0082998267945695245, 0.0082998132791110863, 0.0082997981937509898, 0.0082997815453386865, 0.0082997633415152917, 0.0082997435907356722, 0.0082997223022929986, 0.0082996994863459815, 0.0082996751539488635, 0.0082996493170843684, 0.0082996219886997315, 0.0082995931827460293, 0.0082995629142209888, 0.0082995311992155804, 0.0082994980549645284, 0.0082994634999011031, 0.0082994275537164701, 0.00829939023742398, 0.0082993515734286604, 0.0082993115856024261, 0.0082992702993654292, 0.0082992277417739853, 0.008299183941615676, 0.0082991389295122373, 0.008299092738030818, 0.0082990454018044123, 0.0082989969576622129, 0.0082989474447708236, 0.00829889690478724, 0.0082988453820247426, 0.0082987929236328674, 0.0082987395797927896, 0.0082986854039296121, 0.0082986304529431287, 0.0082985747874590159, 0.0082985184721023116, 0.0082984615757955814, 0.0082984041720842016, 0.0082983463394916378, 0.0082982881619078561, 0.0082982297290143479, 0.0082981711367498111, 0.0082981124878208946, 0.0082980538922630288, 0.0082979954680569984, 0.0082979373418076083, 0.0082978796494916837, 0.008297822537283556, 0.0082977661624672582, 0.0082977106944460352, 0.0082976563158610132, 0.0082976032238328522, 0.0082975516313418176, 0.0082975017687642628, 0.0082974538855859429, 0.0082974082523157109, 0.0082973651626268002, 0.0082973249357569008, 0.0082972879192033371, 0.0082972544917553712, 0.0082972250669124357, 0.0082972000967452535, 0.0082971800762663972, 0.0082971655483881131, 0.0082971571095590453, 0.0082971554161876369, 0.0082971611919796847, 0.0082971752363409229, 0.0082971984340243082, 0.008297231766236075, 0.0082972763234568682, 0.0082973333202858539, 0.0082974041126789716, 0.0082974902180306016, 0.0082975933386444344, 0.0082977153892597084, 0.0082978585294491997, 0.0082980252018939535, 0.0082982181777783229, 0.0082984406108511568, 0.0082986961020855444, 0.0082989887773653771, 0.008299323381268809, 0.0082997053908527314, 0.008300141154436223, 0.0083006380618241508, 0.0083012047543320911, 0.0083018513855493241, 0.008302589947260932, 0.0083034346797091797, 0.0083044025919372134, 0.0083055141271060756, 0.0083067940205701803, 0.0083082724168908675, 0.0083099863385515203, 0.0083119816380927639, 0.0083143156233354363, 0.0083170606329742783, 0.008320308974654942, 0.0083241798491653588, 0.008328829223264023, 0.0083344641693527781, 0.008341364124965089, 0.0083499131427511933, 0.0083606500913988753, 0.0083743491170581597, 0.0083921529834207042, 0.0084158027087460723, 0.0084480511655435318, 0.0084934483950186226, 0.0085599296987221244, 0.0086622818216108358, 0.0088304516659575699, 0.009131914360669173, 0.0097409943842798278, 0.011185897683837948, 0.015087653970029577, 0.019959358234754747, 0.01485174866201174, 0.011242185979083108, 0.0098614325790386641, 0.0087627858844302707, 0.0085225370675077929, 0.0084336609769107337, 0.0083916044811266355, 0.0083689723445785277, 0.0083561026180890199, 0.0083489372387225112, 0.0083456006923002465, 0.0083452176780555408, 0.0083474486671048526, 0.0083522976579506816, 0.0083600402617529726, 0.0083712149975516559, 0.0083866548130759732, 0.0084075473381487898, 0.0084355106857486126, 0.0084726545353504702, 0.0085215536870931145, 0.0085849801464756553, 0.0086651275202218412, 0.0087620177883008608, 0.0088711072393029902, 0.0089812042866989229, 0.009075271763443464, 0.0091361418755655614, 0.0091546672109618886, 0.0091337614703054515, 0.0090851048484547354, 0.009022382782991752, 0.0089564274101517731, 0.0088938399325416452, 0.0088377373523479564, 0.0087890343018599045, 0.0087474894189617722, 0.0087123642128379072, 0.0086827787364689851, 0.0086578801810839549, 0.00863691002883199, 0.0086192212219471584, 0.0086042731200629725, 0.008591618168686109, 0.0085808867896597502, 0.0085717732604258055, 0.0085640235501302942, 0.0085574252671944302, 0.0085517995403603837, 0.0085469945476858919, 0.0085428803994949294, 0.0085393451116020456, 0.0085362914465189847, 0.008533634440963422, 0.0085312994734427529, 0.0085292207549906469, 0.0085273401497086357, 0.0085256062505118385, 0.0085239736503638763, 0.008522402361177326, 0.0085208573421596701, 0.0085193081072473149, 0.0085177283877967691, 0.0085160958321784629, 0.0085143917285435793, 0.0085126007409365729, 0.0085107106521921314, 0.0085087121097438354, 0.0085065983726249905, 0.0085043650596021269, 0.0085020098995874493, 0.008499532486277217, 0.0084969340394089009, 0.0084942171751795203, 0.0084913856882794254, 0.0084884443477292616, 0.0084853987083191307, 0.0084822549389884858, 0.0084790196689970062, 0.0084756998522550805, 0.0084723026497358373, 0.0084688353294963357, 0.0084653051835056111, 0.0084617194602164669, 0.0084580853116262202, 0.0084544097534446708, 0.0084506996369190755, 0.0084469616308475402, 0.0084432022123350717, 0.0084394276649011907, 0.00843564408262726, 0.0084318573791262574, 0.0084280733002227368, 0.008424297439339706, 0.008420535254698016, 0.0084167920875399087, 0.0084130731806884001, 0.0084093836968475687, 0.0084057287361342103, 0.0084021133524085391, 0.0083985425680413901, 0.0083950213868171711, 0.0083915548047275267, 0.0083881478184601108, 0.0083848054314319374, 0.0083815326572574574, 0.0083783345205793516, 0.0083752160552260542, 0.0083721822996937634, 0.008369238289984416, 0.0083663890498638944, 0.0083636395786374999, 0.0083609948365724399, 0.0083584597281300948, 0.0083560390832027615, 0.008353737636581671, 0.0083515600059135883, 0.0083495106684320832, 0.0083475939367756349, 0.0083458139342279213, 0.0083441745697338515, 0.0083426795130594218, 0.0083413321704705317, 0.0083401356613082463, 0.0083390927958322814, 0.008338206054691889, 0.0083374775703636689, 0.0083369091108678982, 0.0083365020660413295, 0.0083362574366032116, 0.0083361758262049564, 0.0083362302355124811, 0.0083363933573446566, 0.0083366648738360076, 0.0083370442565569147, 0.0083375307685129088, 0.0083381234669036176, 0.0083388212066022298, 0.0083396226443055253, 0.008340526243294984, 0.0083415302787403015, 0.0083426328434682458, 0.0083438318541123914, 0.0083451250575528844, 0.0083465100375497703, 0.0083479842214690802, 0.0083495448869972885, 0.008351189168737878, 0.00835291406458194, 0.0083547164417451646, 0.0083565930423642326, 0.0083585404885477207, 0.0083605552867800463, 0.0083626338315808662, 0.008364772408328407, 0.0083669671951615582, 0.0083692142638837532, 0.0083715095798014092, 0.0083738490004407942, 0.0083762282731001947, 0.0083786430312095435, 0.0083810887894869741, 0.0083835609379020112, 0.0083860547344784941, 0.0083885652969964766, 0.0083910875936833006, 0.0083936164330184228, 0.0083961464528158145, 0.0083986721087919922, 0.0084011876628768689, 0.0084036871715790738, 0.0084061644747766857, 0.0084086131853683896, 0.0084110266802876095, 0.0084133980934524115, 0.0084157203112947415, 0.0084179859715815923, 0.0084201874663045132, 0.0084223169494688586, 0.0084243663506550458, 0.0084263273952453772, 0.0084281916322053486, 0.0084299504702704201, 0.0084315952233112411, 0.0084331171655246291, 0.0084345075969181633, 0.0084357579193176987, 0.0084368597228269872, 0.0084378048823067799, 0.0084385856630218962, 0.0084391948341382191, 0.0084396257882513974, 0.0084398726646170812, 0.0084399304732540315, 0.008439795216638523, 0.008439464005335658, 0.0084389351636564511, 0.0084382083213240776, 0.0084372844872071719, 0.0084361661014545966, 0.0084348570628535145, 0.0084333627289260235, 0.0084316898871572375, 0.0084298466967727206, 0.0084278426016024359, 0.0084256882157186797, 0.0084233951846465656, 0.008420976025946823, 0.0084184439537970512, 0.0084158126927964677, 0.0084130962865539387, 0.0084103089066741282, 0.0084074646675362328, 0.0084045774517892517, 0.008401660750808608, 0.0083987275235249872, 0.0083957900761085051, 0.0083928599640307432, 0.0083899479170922633, 0.0083870637871420461, 0.0083842165174666458, 0.0083814141322162885, 0.008378663743774396, 0.0083759715756688505, 0.0083733429984585075, 0.0083707825759914214, 0.0083682941195024323, 0.0083658807471736919, 0.0083635449469994239, 0.0083612886410550646, 0.0083591132495494432, 0.0083570197533230518, 0.008355008753730641, 0.008353080529104117, 0.0083512350872252152, 0.0083494722134422605, 0.0083477915142411256, 0.0083461924562260106, 0.0083446744005835505, 0.0083432366331953663, 0.0083418783906328859, 0.0083405988823169221, 0.0083393973091558868, 0.0083382728789941143, 0.0083372248192078776, 0.0083362523867835919, 0.0083353548762032364, 0.0083345316254467821, 0.0083337820204032048, 0.0083331054979604822, 0.008332501548022845, 0.0083319697146799331, 0.0083315095967295069, 0.0083311208477316809, 0.0083308031757500841, 0.0083305563429127739, 0.008330380164903917, 0.0083302745104764271, 0.0083302393010546462], [0.0076184201124346214, 0.0076184895150734873, 0.0076186976557680837, 0.0076190443339265368, 0.0076195292188044484, 0.0076201518548502959, 0.0076209116691541368, 0.0076218079809668828, 0.007622840013249972, 0.0076240069062102501, 0.0076253077327720657, 0.0076267415159377407, 0.007628307247990105, 0.0076300039114965863, 0.00763183050208325, 0.0076337860529603584, 0.0076358696611984606, 0.0076380805157762986, 0.0076404179274488261, 0.0076428813605173536, 0.0076454704666232224, 0.0076481851207340808, 0.007651025459547287, 0.0076539919226014802, 0.0076570852964647721, 0.0076603067624602785, 0.007663657948499096, 0.007667140985720639, 0.0076707585707964689, 0.0076745140349414615, 0.0076784114209032875, 0.0076824555694792185, 0.0076866522174487738, 0.007691008109231217, 0.0076955311250985585, 0.0077002304294273606, 0.0077051166432932205, 0.0077102020467514926, 0.0077155008174726817, 0.0077210293141001668, 0.0077268064148936456, 0.0077328539250773641, 0.0077391970700542954, 0.0077458650965894138, 0.0077528920106440923, 0.0077603174893777788, 0.0077681880168044828, 0.0077765583089729065, 0.0077854931171902784, 0.0077950695294837198, 0.0078053799353211047, 0.0078165358828906073, 0.0078286731517125101, 0.0078419585013863157, 0.0078565987645249028, 0.0078728532688175333, 0.0078910510674504095, 0.0079116152451818734, 0.0079350978545904109, 0.0079622311967444612, 0.0079940048943888259, 0.008031784881938616, 0.0080775028373440624, 0.0081339686393939771, 0.0082054075138263214, 0.0082984297076145064, 0.0084238867812980733, 0.0086006898064223489, 0.0088644032801904905, 0.0092889818580780981, 0.010051156911984519, 0.011670042011859326, 0.016293373977229249, 0.04179761247057405, 0.16884406099182417, 0.021920228833366133, 0.011566922738024487, 0.0092786003710373446, 0.0084632142039919901, 0.0080952561446315154, 0.0079041197643987295, 0.0077951239156016216, 0.0077286994248684637, 0.0076861494020240041, 0.0076578079454586879, 0.0076383233248569094, 0.0076245686839581713, 0.0076146365834856454, 0.0076073217750993426, 0.0076018401510597831, 0.0075976688818422625, 0.0075944519059965966, 0.0075919421897581111, 0.0075899654463986617, 0.0075883967849355964, 0.0075871453678626978, 0.007586144151594163, 0.0075853429212388119, 0.0075847034999887205, 0.0075841964168459263, 0.0075837985657139931, 0.0075834915463018548, 0.0075832604786430571, 0.0075830931494374624, 0.0075829793926049773, 0.007582910636238855, 0.0075828795684817155, 0.007582879888866103, 0.0075829061214098548, 0.0075829534725846753, 0.0075830177220886277, 0.0075830951377620437, 0.0075831824084114617, 0.00758327659003755, 0.0075833750622028738, 0.007583475492165757, 0.0075835758050473408, 0.0075836741587614375, 0.0075837689227712919, 0.0075838586599801458, 0.0075839421112391956, 0.007584018182085794, 0.0075840859314199541, 0.0075841445618976119, 0.0075841934118720906, 0.007584231948755335, 0.0075842597637015815, 0.0075842765675407618, 0.0075842821879090186, 0.0075842809584261411, 0.0075842772693926232, 0.0075842711190593163, 0.0075842625045294283, 0.0075842514217867611, 0.0075842378657361188, 0.0075842218302569989, 0.0075842033082717964, 0.0075841822918302146, 0.00758415877221192, 0.0075841327400499601, 0.0075841041854778557, 0.0075840730983040214, 0.0075840394682175705, 0.0075840032850306681, 0.0075839645389630499, 0.007583923220975757, 0.007583879323162031, 0.0075838328392049768, 0.0075837837649130862, 0.007583732098846753, 0.007583677843051413, 0.0075836210039154101, 0.0075835615931743507, 0.0075834996290874701, 0.0075834351378163958, 0.0075833681550423393, 0.0075832987278646648, 0.007583226917032183, 0.007583152799568324, 0.0075830764718638572, 0.0075829980533254496, 0.0075829176906866682, 0.0075828355631101753, 0.0075827518882372767, 0.0075826669293747907, 0.0075825810040508921, 0.0075824944942236563, 0.0075824078584908871, 0.0075823216467310944, 0.0075822365177079538, 0.0075821532602999078, 0.0075820728191812329, 0.0075819963259910871, 0.007581925137296777, 0.0075818608810061397, 0.0075818055133363635, 0.0075817613890383183, 0.0075817313483533752, 0.0075817188252105244, 0.0075817279825468294, 0.007581763882483071, 0.0075818327015933495, 0.0075819420049348914, 0.0075821010972352909, 0.0075823214762285552, 0.0075826174224200796, 0.0075830067727936518, 0.0075835119450553398, 0.0075841613068854362, 0.0075849910259704655, 0.00758604759871505, 0.0075873913505461119, 0.0075891013486614296, 0.0075912824029961403, 0.0075940752123633349, 0.0075976713461296374, 0.0076023358324516649, 0.0076084420229224747, 0.0076165268519552635, 0.0076273811105199542, 0.0076422021442061113, 0.0076628628152157268, 0.0076924083980057277, 0.007736028469776308, 0.0078030946825035988, 0.0079118201001424169, 0.008101166388446818, 0.0084661478067539538, 0.0092869202263097944, 0.011679026798990294, 0.023180291542865585, 0.077482416460266296, 0.022254825883175011, 0.012488061340814142, 0.010061358117076202, 0.0091162825852331483, 0.0086494314698736235, 0.0083830910869492192, 0.0082158237450988721, 0.0081033435935033496, 0.0080237523818282551, 0.0079651783020895234, 0.0079207126667977783, 0.0078861022729257539, 0.0078586059836241659, 0.0078363886940393413, 0.0078181817906989998, 0.0078030838528475076, 0.0077904389414881394, 0.0077797596877127832, 0.0077706772224005139, 0.0077629077159209504, 0.007756229493573975, 0.0077504670575233589, 0.0077454797226414089, 0.0077411533985728065, 0.0077373945576225218, 0.0077341257474608412, 0.0077312822130434109, 0.007728809326824051, 0.0077266606162091477, 0.0077247962381387127, 0.0077231817925971606, 0.0077217873960664114, 0.0077205869565236188, 0.0077195576062461819, 0.0077186792592184453, 0.0077179342675622485, 0.0077173071569835135, 0.0077167844253338558, 0.007716354391455028, 0.0077160070838121963, 0.007715734160256533, 0.0077155288517533971, 0.0077153859241924257, 0.0077153016535465536, 0.0077152738107288425, 0.007715301653546551, 0.0077153859241924257, 0.0077155288517533997, 0.0077157341602565304, 0.0077160070838121955, 0.0077163543914550237, 0.0077167844253338558, 0.0077173071569835144, 0.0077179342675622493, 0.0077186792592184505, 0.0077195576062461819, 0.0077205869565236144, 0.0077217873960664062, 0.0077231817925971624, 0.007724796238138717, 0.0077266606162091477, 0.0077288093268240475, 0.0077312822130433997, 0.0077341257474608481, 0.007737394557622527, 0.0077411533985728004, 0.0077454797226414089, 0.0077504670575233607, 0.0077562294935739785, 0.0077629077159209548, 0.0077706772224005174, 0.0077797596877127841, 0.0077904389414881316, 0.0078030838528475015, 0.0078181817906990015, 0.0078363886940393569, 0.0078586059836241711, 0.0078861022729257643, 0.0079207126667978026, 0.0079651783020895598, 0.0080237523818282083, 0.0081033435935032854, 0.0082158237450989623, 0.0083830910869492729, 0.008649431469873398, 0.0091162825852327978, 0.010061358117075833, 0.012488061340816307, 0.022254825883179456, 0.07748241646026198, 0.02318029154287235, 0.011679026798991307, 0.009286920226309104, 0.008466147806754672, 0.0081011663884469828, 0.0079118201001424152, 0.0078030946825037644, 0.0077360284697763609, 0.0076924083980057685, 0.0076628628152157572, 0.0076422021442061139, 0.0076273811105199672, 0.0076165268519552704, 0.0076084420229224781, 0.0076023358324516666, 0.0075976713461296383, 0.0075940752123633349, 0.0075912824029961421, 0.0075891013486614348, 0.0075873913505461119, 0.00758604759871505, 0.0075849910259704672, 0.0075841613068854327, 0.0075835119450553363, 0.0075830067727936526, 0.0075826174224200796, 0.0075823214762285526, 0.0075821010972352883, 0.0075819420049348931, 0.007581832701593353, 0.0075817638824830719, 0.0075817279825468285, 0.0075817188252105252, 0.00758173134835337, 0.00758176138903832, 0.0075818055133363687, 0.0075818608810061389, 0.007581925137296777, 0.0075819963259910845, 0.0075820728191812337, 0.0075821532602999078, 0.007582236517707959, 0.0075823216467310935, 0.0075824078584908819, 0.0075824944942236598, 0.0075825810040508913, 0.0075826669293747933, 0.0075827518882372732, 0.0075828355631101761, 0.0075829176906866717, 0.0075829980533254505, 0.0075830764718638529, 0.0075831527995683231, 0.0075832269170321796, 0.0075832987278646648, 0.0075833681550423401, 0.0075834351378163993, 0.0075834996290874658, 0.0075835615931743455, 0.0075836210039154067, 0.007583677843051413, 0.0075837320988467547, 0.0075837837649130827, 0.0075838328392049776, 0.0075838793231620327, 0.0075839232209757561, 0.0075839645389630516, 0.0075840032850306672, 0.0075840394682175731, 0.0075840730983040196, 0.0075841041854778583, 0.0075841327400499601, 0.0075841587722119208, 0.0075841822918302163, 0.0075842033082717973, 0.0075842218302569981, 0.0075842378657361171, 0.0075842514217867576, 0.0075842625045294283, 0.0075842711190593172, 0.0075842772693926284, 0.0075842809584261428, 0.0075842821879090151, 0.0075842815732248244, 0.007584279729566528, 0.0075842766581179777, 0.0075842723608555889, 0.0075842668405533822, 0.0075842601007900827, 0.0075842521459582417, 0.0075842429812755397, 0.0075842326127982199, 0.0075842210474367563, 0.0075842082929738616, 0.0075841943580848212, 0.007584179252360379, 0.0075841629863321446, 0.0075841455715007673, 0.007584127020366923, 0.0075841073464653179, 0.0075840865644018277, 0.0075840646898940357, 0.0075840417398152339, 0.0075840177322423008, 0.0075839926865075334, 0.0075839666232547804, 0.0075839395645001841, 0.0075839115336978425, 0.0075838825558107109, 0.0075838526573872205, 0.0075838218666439902, 0.0075837902135551015, 0.0075837577299485001, 0.0075837244496100818, 0.0075836904083960762, 0.007583655644354469, 0.0075836201978561786, 0.0075835841117368966, 0.007583547431450466, 0.0075835102052348655, 0.0075834724842919355, 0.0075834343229820968, 0.0075833957790354895, 0.0075833569137810303, 0.0075833177923951721, 0.0075832784841722133, 0.0075832390628183619, 0.0075831996067718208, 0.0075831601995516315, 0.0075831209301381814, 0.0075830818933886662, 0.0075830431904912116, 0.0075830049294618, 0.0075829672256886348, 0.0075829302025291695, 0.0075828939919657017, 0.0075828587353261329, 0.0075828245840774359, 0.0075827917007002567, 0.0075827602596543449, 0.0075827304484456003, 0.0075827024688072961, 0.0075826765380094998, 0.0075826528903129306, 0.0075826317785856485, 0.0075826134761037937, 0.0075825982785606792, 0.0075825865063121906, 0.0075825785068908214, 0.0075825746578255613, 0.0075825753698109937, 0.0075825810902756651, 0.0075825923074083401, 0.0075826095547102696, 0.0075826334161533783, 0.0075826645320381993, 0.0075827036056617695, 0.0075827514109258242, 0.0075828088010394291, 0.0075828767184993014, 0.007582956206565984, 0.0075830484224968997, 0.0075831546528494533, 0.0075832763312312689, 0.0075834150589535508, 0.007583572629140921, 0.0075837510549723432, 0.0075839526028787588, 0.0075841798317128426, 0.0075844356391454619, 0.0075847233168466113, 0.0075850466163952489, 0.0075854098283584942, 0.0075858178776205066, 0.0075862764388731664, 0.0075867920772682805, 0.0075873724206645381, 0.0075880263718060637, 0.0075887643713173905, 0.0075895987258415279, 0.0075905440203370205, 0.0075916176400044636, 0.0075928404362874003, 0.0075942375840116171, 0.0075958396946821547, 0.0075976842768327203, 0.0075998176721264864, 0.0076022976519623227, 0.0076051969437975174, 0.0076086080858779855, 0.0076126502113601233, 0.0076174786854700301, 0.0076232990458189286, 0.0076303875768162829, 0.0076391223643067609, 0.0076500313649614706, 0.007663868963663543, 0.007681741927901083, 0.007705324519499214, 0.0077372421677771967, 0.0077817915805783941, 0.0078463768243853798, 0.0079445905889708804, 0.0081034439185278685, 0.008382307693127344, 0.0089296469192302677, 0.010178379440829879, 0.013477237539823597, 0.019079934385230955, 0.015316072384451885, 0.011039967919616381, 0.0082941981394819893, 0.0078827068842039806, 0.0077530358074917281, 0.0076967385913799874, 0.0076680494282350686, 0.0076523568559116219, 0.00764389312997693, 0.0076400911391829012, 0.0076397688997783837, 0.0076424494210912963, 0.0076480860364774549, 0.0076569578584404323, 0.0076696502783482378, 0.0076870874336451879, 0.0077106013375290612, 0.0077420222324219735, 0.0077837553528027157, 0.0078387582238633943, 0.0079102321694704547, 0.0080006980189685217, 0.0081100624096995186, 0.0082326886436562743, 0.0083548954450282618, 0.0084561768111285837, 0.0085165937340813784, 0.0085267919594841559, 0.0084922004620640625, 0.0084280284243528764, 0.0083507197957883757, 0.0082724792090857098, 0.0082001975781841457, 0.0081367222159920011, 0.0080825165351173199, 0.0080368958713775245, 0.0079987541110527628, 0.0079669289581000922, 0.0079403587172584694, 0.0079181329948290729, 0.0078994949912675264, 0.0078838247489472889, 0.0078706171537455943, 0.0078594605965149784, 0.0078500184344750795, 0.0078420137075479839, 0.0078352168810380419, 0.0078294361624001319, 0.007824509914296545, 0.0078203007363493657, 0.0078166908592657049, 0.0078135785646664645, 0.0078108754039793856, 0.0078085040385577099, 0.0078063965616960206, 0.0078044931931742995, 0.0078027412601708521, 0.0078010943964194873, 0.0077995119056257214, 0.0077979582463864796, 0.0077964026049143929, 0.0077948185292838175, 0.0077931836050643315, 0.00779147915734444, 0.0077896899684429402, 0.0077878040041699887, 0.0077858121444124677, 0.0077837079161342457, 0.0077814872286546873, 0.0077791481123461667, 0.00777669046273029, 0.0077741157924114618, 0.0077714269934298181, 0.0077686281125088656, 0.0077657241413807343, 0.007762720823954513, 0.0077596244816047991, 0.0077564418573446781, 0.0077531799791462092, 0.0077498460422109729, 0.007746447309591278, 0.0077429910302305094, 0.0077394843732334472, 0.0077359343769925577, 0.0077323479116795024, 0.0077287316535549809, 0.0077250920695449256, 0.0077214354105678475, 0.0077177677121664555, 0.0077140948010886454, 0.007710422306569497, 0.0077067556751812902, 0.0077031001882367257, 0.0076994609808468274, 0.0076958430618474533, 0.007692251333913081, 0.0076886906132737076, 0.0076851656485385535, 0.007681681138209313, 0.0076782417465360723, 0.0076748521174313028, 0.0076715168862124209, 0.0076682406889923048, 0.0076650281695809014, 0.0076618839838005024, 0.0076588128011535221, 0.0076558193038159424, 0.007652908182961507, 0.0076500841324538436, 0.0076473518399746143, 0.0076447159756867587, 0.0076421811785631153, 0.0076397520405420069, 0.0076374330887019051, 0.0076352287656780505, 0.0076331434085732813, 0.0076311812266429344, 0.0076293462780590996, 0.0076276424460818785, 0.0076260734149831075, 0.0076246426460820577, 0.0076233533542598318, 0.0076222084853213015, 0.0076212106945681164, 0.00762036232693408, 0.0076196653990150444, 0.0076191215832982721, 0.0076187321948633481, 0.0076184981807864713, 0.0076184201124346214, 0.0076184721602343495, 0.0076186282030088282, 0.0076188879392766889, 0.0076192508678720964, 0.0076197162898798436, 0.0076202833113052258, 0.0076209508464403167, 0.0076217176218776909, 0.0076225821811133111, 0.0076235428896712322, 0.0076245979406745533, 0.0076257453607798901, 0.0076269830163861897, 0.0076283086200233004, 0.0076297197368214217, 0.007631213790958955, 0.007632788071984347, 0.0076344397409058495, 0.0076361658359431484, 0.0076379632778356688, 0.007639828874604058, 0.0076417593256645818, 0.0076437512251999367, 0.0076458010646955161, 0.0076479052345563093, 0.0076500600247273749, 0.0076522616242500584, 0.0076545061196968351, 0.0076567894924399766, 0.0076591076147241805, 0.0076614562445297641, 0.0076638310192328777, 0.0076662274480918191, 0.0076686409036141774, 0.0076710666118898589, 0.0076734996420089593, 0.0076759348947222292, 0.0076783670905458106, 0.0076807907575609314, 0.007683200219213618, 0.0076855895824791505, 0.0076879527268204646, 0.0076902832944381484, 0.0076925746823810369, 0.007694820037158755, 0.007697012252568503, 0.0076991439715145384, 0.0077012075926564246, 0.0077031952827660332, 0.0077050989956977097, 0.007706910498874728, 0.0077086214081603099, 0.0077102232319065803, 0.0077117074248513251, 0.0077130654523546865, 0.0077142888652299716, 0.0077153693851216678, 0.007716299000019999, 0.0077170700690784673, 0.007717675435429062, 0.007718108545182999, 0.0077183635702851175, 0.0077184355323836615, 0.0077183204244161904, 0.0077180153262330284, 0.0077175185103180392, 0.007716829533558971, 0.0077159493110957591, 0.0077148801685567089, 0.0077136258694890155, 0.0077121916154957136, 0.0077105840174833355, 0.0077088110374651407, 0.0077068819014988691, 0.0077048069855005031, 0.0077025976767949381, 0.0077002662152682094, 0.0076978255188087453, 0.0076952889983138671, 0.0076926703678565356, 0.0076899834556419262, 0.0076872420211393563, 0.007684459583280596, 0.007681649263913389, 0.0076788236498458555, 0.0076759946758748736, 0.0076731735302227062, 0.0076703705828688497, 0.0076675953364070196, 0.0076648563983181478, 0.0076621614729533005, 0.0076595173710768787, 0.0076569300345304793, 0.0076544045734316763, 0.0076519453133027417, 0.0076495558496110644, 0.0076472391073722622, 0.0076449974036949982, 0.0076428325114124328, 0.00764074572222837, 0.007638737908091899, 0.0076368095797892345, 0.0076349609419966383, 0.0076331919442680952, 0.0076315023276315409, 0.0076298916666379217, 0.0076283594068475308, 0.0076269048978503621, 0.0076255274220037661, 0.0076242262191346354, 0.0076230005074976095, 0.0076218495013086977, 0.0076207724251879314, 0.0076197685258482684, 0.0076188370813629197, 0.0076179774083319531, 0.0076171888672529123, 0.0076164708663810149, 0.0076158228643430125, 0.007615244371746226, 0.0076147349520010723, 0.0076142942215522928, 0.007613921849690986, 0.0076136175580974134, 0.0076133811202425614, 0.007613212360755281, 0.0076131111548417459, 0.0076130774278235312], [0.0082476269324190058, 0.0082477018012436423, 0.0082479263365074391, 0.0082483003257411772, 0.0082488234186945623, 0.0082494951331152973, 0.0082503148628032558, 0.008251281887905566, 0.0082523953874106652, 0.0082536544537943728, 0.008255058109768388, 0.0082566053270810326, 0.0082582950473233802, 0.008260126204700487, 0.0082620977507377839, 0.008264208680907402, 0.0082664580631789091, 0.0082688450685237166, 0.0082713690034326732, 0.0082740293445440101, 0.0082768257755226338, 0.008279758226385282, 0.0082828269155277873, 0.0082860323947853108, 0.0082893755979432816, 0.0082928578932202311, 0.008296481140366874, 0.0083002477531721602, 0.0083041607683432498, 0.0083082239219388759, 0.0083124417347927981, 0.0083168196086798214, 0.0083213639353629295, 0.0083260822211392357, 0.008330983230097842, 0.0083360771500491718, 0.0083413757860253766, 0.0083468927874450344, 0.0083526439165593127, 0.0083586473677553872, 0.0083649241498296081, 0.0083714985466493818, 0.0083783986759667396, 0.008385657171898115, 0.008393312024263232, 0.0084014076183177508, 0.0084099960324738113, 0.0084191386709084066, 0.0084289083347551912, 0.0084393918731960511, 0.0084506936092480812, 0.0084629398120889369, 0.0084762846003892754, 0.0084909178283699496, 0.0085070757589727902, 0.00852505571749115, 0.0085452365302225615, 0.0085681075352230535, 0.0085943105717460958, 0.0086247020999441568, 0.008660447402584797, 0.0087031675149974192, 0.0087551759191470974, 0.0088198743805671179, 0.0089024446089233274, 0.0090111214754925416, 0.0091596891019329156, 0.0093727697340312138, 0.0096981901587611993, 0.010239892029762131, 0.011262665969747381, 0.013627344912462569, 0.021635711056430036, 0.091237044616590421, 0.066286057009767488, 0.016787832663232284, 0.011107626639816626, 0.0095462668410898656, 0.0089320261153465093, 0.0086391905748374916, 0.0084818590063541859, 0.0083901624825381913, 0.008333471430738263, 0.0082968133551719076, 0.0082722517461534684, 0.0082553088742653921, 0.0082433308810257074, 0.0082346812805461824, 0.0082283177044270347, 0.0082235581089395021, 0.008219945972099808, 0.0082171696918200282, 0.0082150128786517302, 0.0082133228819551238, 0.0082119904079017633, 0.0082109360653442563, 0.0082101013392946644, 0.0082094424509592152, 0.0082089261321605898, 0.0082085266881154403, 0.0082082239380800431, 0.0082080017604430865, 0.0082078470576598915, 0.0082077490149443967, 0.0082076985657677463, 0.0082076880037159055, 0.0082077106984065947, 0.0082077608857066293, 0.0082078335112241857, 0.0082079241121698395, 0.0082080287269899865, 0.0082081438252233213, 0.0082082662521919085, 0.0082083931846744611, 0.0082085220948029565, 0.0082086507202033376, 0.0082087770389573465, 0.0082088992483594931, 0.0082090157467270952, 0.0082091251177242204, 0.0082092261168057665, 0.0082093176594922913, 0.0082093988112616756, 0.0082094687788981224, 0.0082095269031792154, 0.0082095726528113692, 0.0082096056195465096, 0.0082096255144302743, 0.0082096321651459799, 0.0082096307619008522, 0.0082096265512525603, 0.0082096195304660578, 0.0082096096949952867, 0.0082095970385021623, 0.0082095815528839319, 0.0082095632283098359, 0.0082095420532681557, 0.0082095180146250883, 0.008209491097697268, 0.0082094612863400467, 0.008209428563054141, 0.0082093929091137836, 0.008209354304719918, 0.0082093127291830228, 0.0082092681611403984, 0.0082092205788141682, 0.0082091699603170018, 0.0082091162840139866, 0.0082090595289504766, 0.0082089996753575666, 0.0082089367052489946, 0.0082088706031256172, 0.0082088013568067768, 0.0082087289584112759, 0.0082086534055150866, 0.0082085747025179602, 0.0082084928622572755, 0.0082084079079150704, 0.0082083198752730038, 0.0082082288153811772, 0.0082081347977199359, 0.0082080379139501912, 0.0082079382823676481, 0.0082078360532009918, 0.0082077314149242089, 0.0082076246017907892, 0.0082075159028439093, 0.0082074056727148032, 0.0082072943445940637, 0.0082071824458518749, 0.0082070706168984511, 0.0082069596340221419, 0.008206850437129232, 0.0082067441635482984, 0.0082066421893699625, 0.0082065461801918496, 0.0082064581536588008, 0.0082063805568707501, 0.0082063163626320563, 0.008206269189714838, 0.0082062434539152251, 0.0082062445588512497, 0.0082062791384061237, 0.0082063553667822576, 0.0082064833577657828, 0.0082066756826989235, 0.0082069480478473792, 0.0082073201878900617, 0.0082078170555417614, 0.0082084704215741756, 0.0082093210506369151, 0.0082104216958315702, 0.0082118412746387762, 0.0082136707768786441, 0.0082160317571664879, 0.0082190887595968067, 0.0082230678557425572, 0.0082282849187234001, 0.0082351898287253891, 0.0082444375594761289, 0.0082570062362865397, 0.0082744006502316857, 0.0082990187270981196, 0.0083348464710324144, 0.0083888606460587548, 0.0084740859344412285, 0.0086169365480838114, 0.0088772271347744049, 0.0094130270109964893, 0.010751275361575554, 0.015480163603352082, 0.047523621359362785, 0.045384567013983926, 0.016713525426909841, 0.01180940622731837, 0.010244459649982655, 0.0095512044939891749, 0.0091815738907290861, 0.0089598207373222695, 0.0088155145125965589, 0.0087158781218904316, 0.0086439273353160172, 0.0085901182304470199, 0.0085487368250831298, 0.0085161832722916858, 0.0084900926349954289, 0.0084688558310291595, 0.0084513449550477522, 0.0084367488487453648, 0.0084244709673051022, 0.0084140638787471005, 0.008405186064902927, 0.0083975727188577449, 0.0083910155665036755, 0.008385348647992218, 0.0083804381214687938, 0.0083761748351891523, 0.0083724688394579347, 0.0083692452804251718, 0.0083664412934591099, 0.0083640036299984979, 0.0083618868299248535, 0.0083600518048502909, 0.0083584647346505048, 0.0083570962054561725, 0.0083559205356539736, 0.0083549152495681674, 0.0083540606679649073, 0.0083533395914204417, 0.0083527370576706016, 0.008352240157843421, 0.0083518378993499322, 0.0083515211054481352, 0.008351282343302598, 0.0083511158738862439, 0.0083510176184164089, 0.0083509851372585604, 0.0083510176184164037, 0.0083511158738862386, 0.0083512823433025997, 0.0083515211054481335, 0.0083518378993499304, 0.0083522401578434158, 0.0083527370576706016, 0.0083533395914204452, 0.008354060667964909, 0.0083549152495681726, 0.0083559205356539719, 0.0083570962054561691, 0.0083584647346504996, 0.0083600518048502909, 0.0083618868299248552, 0.0083640036299984944, 0.0083664412934591047, 0.0083692452804251596, 0.0083724688394579416, 0.0083761748351891593, 0.0083804381214687869, 0.0083853486479922162, 0.0083910155665036772, 0.0083975727188577449, 0.0084051860649029305, 0.0084140638787471075, 0.0084244709673051039, 0.0084367488487453578, 0.0084513449550477453, 0.0084688558310291612, 0.0084900926349954463, 0.0085161832722916875, 0.0085487368250831437, 0.0085901182304470476, 0.0086439273353160571, 0.0087158781218903743, 0.0088155145125964774, 0.0089598207373223753, 0.0091815738907291417, 0.0095512044939888296, 0.010244459649982099, 0.011809406227317711, 0.016713525426914358, 0.045384567014000836, 0.047523621359375566, 0.015480163603354019, 0.010751275361575975, 0.0094130270109960851, 0.008877227134774901, 0.0086169365480839345, 0.0084740859344412302, 0.0083888606460588849, 0.008334846471032456, 0.0082990187270981525, 0.0082744006502317134, 0.0082570062362865432, 0.0082444375594761411, 0.0082351898287253925, 0.008228284918723407, 0.008223067855742559, 0.008219088759596805, 0.0082160317571664879, 0.0082136707768786475, 0.0082118412746387814, 0.0082104216958315719, 0.0082093210506369169, 0.008208470421574179, 0.0082078170555417596, 0.00820732018789006, 0.0082069480478473809, 0.0082066756826989218, 0.0082064833577657793, 0.0082063553667822576, 0.0082062791384061255, 0.0082062445588512532, 0.0082062434539152268, 0.0082062691897148345, 0.0082063163626320546, 0.0082063805568707467, 0.0082064581536588008, 0.0082065461801918531, 0.0082066421893699625, 0.0082067441635482966, 0.0082068504371292303, 0.0082069596340221436, 0.0082070706168984528, 0.0082071824458518784, 0.008207294344594062, 0.0082074056727147997, 0.0082075159028439093, 0.008207624601790791, 0.0082077314149242107, 0.0082078360532009884, 0.0082079382823676498, 0.0082080379139501929, 0.0082081347977199393, 0.0082082288153811737, 0.008208319875273002, 0.0082084079079150652, 0.0082084928622572738, 0.0082085747025179619, 0.00820865340551509, 0.0082087289584112707, 0.0082088013568067768, 0.0082088706031256155, 0.0082089367052489929, 0.00820899967535757, 0.0082090595289504749, 0.0082091162840139866, 0.0082091699603170053, 0.0082092205788141699, 0.0082092681611403984, 0.0082093127291830228, 0.0082093543047199215, 0.0082093929091137784, 0.0082094285630541445, 0.0082094612863400484, 0.008209491097697268, 0.0082095180146250866, 0.0082095420532681523, 0.0082095632283098342, 0.0082095815528839319, 0.0082095970385021588, 0.0082096096949952884, 0.0082096195304660596, 0.0082096265512525638, 0.0082096307619008557, 0.0082096321651459764, 0.008209631463593001, 0.0082096293593125029, 0.0082096258534407468, 0.008209620947874639, 0.0082096146452764317, 0.0082096069490803988, 0.0082095978635013753, 0.0082095873935453378, 0.0082095755450220104, 0.0082095623245595391, 0.0082095477396213357, 0.0082095317985251322, 0.0082095145104643975, 0.0082094958855321032, 0.0082094759347470792, 0.0082094546700829819, 0.0082094321045000709, 0.0082094082519799071, 0.0082093831275631829, 0.0082093567473908134, 0.0082093291287485739, 0.0082093002901154188, 0.008209270251215782, 0.0082092390330761426, 0.0082092066580861031, 0.0082091731500643621, 0.0082091385343298663, 0.0082091028377786601, 0.0082090660889667134, 0.0082090283181993143, 0.0082089895576275152, 0.0082089498413521877, 0.0082089092055363314, 0.0082088676885263417, 0.008208825330982987, 0.0082087821760229319, 0.0082087382693717577, 0.0082086936595294792, 0.0082086483979497207, 0.0082086025392337902, 0.008208556141341021, 0.0082085092658169788, 0.0082084619780411656, 0.0082084143474962235, 0.0082083664480605816, 0.0082083183583271258, 0.0082082701619503144, 0.0082082219480247749, 0.0082081738114986088, 0.0082081258536251117, 0.0082080781824569824, 0.0082080309133876466, 0.0082079841697448638, 0.0082079380834425043, 0.0082078927956970218, 0.0082078484578160821, 0.0082078052320678201, 0.0082077632926401273, 0.0082077228267009462, 0.0082076840355717953, 0.0082076471360285827, 0.0082076123617456937, 0.0082075799649017258, 0.0082075502179677975, 0.0082075234157025743, 0.0082074998773817229, 0.0082074799492937826, 0.0082074640075394615, 0.0082074524611771005, 0.0082074457557641534, 0.0082074443773524804, 0.008207448857005091, 0.0082074597759133928, 0.0082074777712077274, 0.0082075035425703564, 0.0082075378597797431, 0.0082075815713385826, 0.0082076356143667307, 0.0082077010259745675, 0.0082077789563747405, 0.008207870684041425, 0.0082079776332893116, 0.0082081013947221705, 0.0082082437490966914, 0.0082084066952663026, 0.0082085924830183291, 0.0082088036518039587, 0.0082090430765951773, 0.008209314022399973, 0.0082096202093459546, 0.0082099658907273942, 0.0082103559470366044, 0.0082107959998122901, 0.0082112925501980922, 0.0082118531485010741, 0.0082124866028906573, 0.0082132032378541969, 0.0082140152163618571, 0.0082149369442339523, 0.0082159855814407379, 0.0082171816937202883, 0.0082185500900451187, 0.0082201209087092615, 0.008221931039592293, 0.0082240260062696226, 0.0082264624850275636, 0.0082293117180230833, 0.0082326642003170171, 0.0082366362111353751, 0.0082413790624538442, 0.008247092429606891, 0.0082540439467232406, 0.0082625986486659347, 0.0082732643064586282, 0.0082867631973988082, 0.0083041493624948746, 0.0083270072370082056, 0.0083578025239250935, 0.0084005331750392313, 0.008462009510263822, 0.0085545536657408282, 0.0087021971097519888, 0.0089564740751724194, 0.0094421026303365182, 0.010508517644505959, 0.01323821099305961, 0.01893501688602852, 0.017356428896239316, 0.0094440148169796598, 0.0086369498647095519, 0.008431663344475402, 0.0083510645096547473, 0.0083121678842431133, 0.0082915028005041275, 0.008280449753009466, 0.0082753359507392044, 0.0082745023459522265, 0.0082772633342523601, 0.0082834998602455724, 0.0082935044595016782, 0.0083079463933992941, 0.0083279075904036885, 0.0083549683690235764, 0.008391324566270059, 0.0084398951477333371, 0.0085043154961096292, 0.0085885808290569899, 0.0086959085481783972, 0.0088262838730854137, 0.0089726699549123063, 0.009117758064040582, 0.0092356873067707315, 0.0093019266458519677, 0.0093061937729089338, 0.0092570424697296372, 0.009174462068689767, 0.0090787881687688175, 0.0089843206650857335, 0.0088986065580877217, 0.0088243727020685652, 0.0087616695750587798, 0.008709356846373556, 0.008665928012893653, 0.0086298995720400819, 0.0085999624636274984, 0.0085750190152869468, 0.0085541712550461085, 0.0085366925067198538, 0.0085219964151134007, 0.0085096089353645255, 0.008499144912370157, 0.0084902892437790645, 0.0084827820351325214, 0.0084764070255805637, 0.0084709826117418813, 0.0084663549030672084, 0.0084623923533386648, 0.0084589816109216388, 0.0084560243103492319, 0.0084534345906341121, 0.0084511371740953606, 0.0084490658764589457, 0.0084471624472190702, 0.0084453756609189651, 0.0084436605968233863, 0.0084419780576881973, 0.0084402940889198655, 0.0084385795680282632, 0.0084368098413736044, 0.0084349643911097571, 0.0084330265201400939, 0.008430983046967256, 0.0084288240056300257, 0.0084265423485471742, 0.0084241336520930656, 0.0084215958261702559, 0.0084189288299863323, 0.0084161343967536981, 0.0084132157701861492, 0.0084101774555399248, 0.0084070249876126973, 0.0084037647176409668, 0.0084004036204858874, 0.0083969491229213475, 0.0083934089532777621, 0.0083897910121820147, 0.0083861032636881067, 0.0083823536457272065, 0.0083785499985234314, 0.008374700009422021, 0.0083708111724523967, 0.0083668907608926025, 0.0083629458111014968, 0.0083589831159317004, 0.0083550092261168371, 0.0083510304581330755, 0.0083470529071567011, 0.0083430824638702737, 0.0083391248340031927, 0.0083351855596230529, 0.0083312700413197948, 0.0083273835605413796, 0.0083235313014475478, 0.0083197183717454576, 0.0083159498220581069, 0.0083122306634539449, 0.0083085658828341517, 0.00830496045593428, 0.0083014193577502175, 0.008297947570245599, 0.0082945500872406396, 0.0082912319164212024, 0.008287998078443673, 0.0082848536031455058, 0.0082818035229054038, 0.0082788528632299577, 0.0082760066306767719, 0.0082732697982568961, 0.0082706472884930046, 0.0082681439543418611, 0.0082657645582225794, 0.0082635137494230775, 0.0082613960401866256, 0.008259415780807338, 0.0082575771340870126, 0.008255884049524799, 0.0082543402376257877, 0.0082529491447223286, 0.0082517139287038386, 0.0082506374360450906, 0.0082497221805097436, 0.0082489703238851787, 0.0082483836590755873, 0.0082479635958448445, 0.0082477111494577062, 0.0082476269324190058, 0.0082476830794906992, 0.0082478514126765132, 0.008248131608308033, 0.0082485231283294259, 0.0082490252223637161, 0.0082496369305634157, 0.0082503570872043339, 0.0082511843249700144, 0.0082521170798641567, 0.0082531535966787646, 0.0082542919349368159, 0.0082555299752204749, 0.0082568654257891543, 0.0082582958293855539, 0.0082598185701234107, 0.0082614308803466187, 0.008263129847347327, 0.0082649124198286728, 0.0082667754139978799, 0.0082687155191761529, 0.008270729302813631, 0.0082728132148010714, 0.0082749635909737766, 0.0082771766557092948, 0.0082794485235268608, 0.008281775199604895, 0.0082841525791426916, 0.008286576445504016, 0.0082890424670935738, 0.0082915461929333901, 0.008294083046924014, 0.0082966483207970419, 0.0082992371657899418, 0.0083018445831021508, 0.0083044654132245488, 0.0083070943242713607, 0.0083097257994860767, 0.0083123541241411063, 0.0083149733721045484, 0.0083175773924073892, 0.0083201597962098486, 0.0083227139446367081, 0.0083252329380268109, 0.0083277096072206791, 0.0083301365075900535, 0.0083325059165915184, 0.0083348098356997233, 0.008337039997639439, 0.0083391878798845243, 0.0083412447254191807, 0.008343201571755816, 0.0083450492891655771, 0.0083467786289951849, 0.0083483802828074136, 0.0083498449528861905, 0.0083511634343842595, 0.0083523267090584007, 0.0083533260501348679, 0.0083541531373799941, 0.0083548001809291596, 0.0083552600518673643, 0.0083555264169804869, 0.0083555938745380268, 0.0083554580874608785, 0.0083551159098118437, 0.0083545655022625107, 0.0083538064320776949, 0.0083528397532503813, 0.0083516680627402223, 0.008350295529326441, 0.0083487278923746674, 0.0083469724288108456, 0.008345037887750378, 0.0083429343934859831, 0.0083406733188202929, 0.0083382671319594693, 0.0083357292212820153, 0.0083330737031906341, 0.0083303152188866549, 0.0083274687262379719, 0.0083245492929280348, 0.0083215718967837964, 0.0083185512386165176, 0.0083155015721202621, 0.008312436554421973, 0.0083093691198329045, 0.0083063113782834205, 0.008303274538895386, 0.0083002688582110556, 0.0082973036117956096, 0.0082943870872871483, 0.008291526596494625, 0.0082887285038399858, 0.0082859982682936383, 0.0082833404959435884, 0.0082807590004439387, 0.0082782568687825228, 0.0082758365300637429, 0.008273499825298191, 0.0082712480765037184, 0.008269082153736125, 0.0082670025389686916, 0.0082650093860175636, 0.0082631025759597274, 0.0082612817677066921, 0.0082595464435809927, 0.008257895949893089, 0.0082563295326364573, 0.0082548463685108309, 0.0082534455915510927, 0.0082521263156858388, 0.0082508876535782351, 0.008249728732116041, 0.0082486487049202879, 0.0082476467622356574, 0.0082467221385525251, 0.0082458741182924282, 0.0082451020398673948, 0.0082444052983997995, 0.0082437833473647405, 0.0082432356993913276, 0.0082427619264342777, 0.0082423616595019497, 0.0082420345881028274, 0.0082417804595488493, 0.0082415990782308182, 0.0082414903049595374, 0.0082414540564442629], [0.0095467445230958594, 0.0095468321324351825, 0.0095470948774473603, 0.0095475325104561019, 0.0095481446231317785, 0.0095489306531666603, 0.009549889893578729, 0.0095510215046052341, 0.0095523245281385026, 0.009553797904650602, 0.0095554404925508544, 0.0095572510899195155, 0.0095592284585647759, 0.0095613713503582363, 0.0095636785358157519, 0.0095661488349078755, 0.0095687811501069028, 0.0095715745017063598, 0.0095745280654838966, 0.0095776412128223236, 0.0095809135534545425, 0.0095843449810603075, 0.0095879357220149189, 0.0095916863876767521, 0.0095955980307021634, 0.0095996722059972367, 0.0096039110370600613, 0.0096083172886388141, 0.0096128944468378084, 0.0096176468080534355, 0.0096225795784246615, 0.0096276989858548809, 0.0096330124071174073, 0.0096385285131231051, 0.009644257436132982, 0.0096502109635830252, 0.0096564027643039271, 0.0096628486543367271, 0.0096695669113591315, 0.00967657864907253, 0.009683908265929058, 0.0096915839865350482, 0.0096996385192752704, 0.0097081098606141714, 0.0097170422857782643, 0.0097264875780118318, 0.0097365065656213994, 0.0097471710594696937, 0.009758566316225549, 0.0097707941986718474, 0.0097839772700088305, 0.0097982641540477859, 0.0098138366326367167, 0.0098309191597881502, 0.0098497917881689937, 0.0098708079933668477, 0.009894419656259798, 0.0099212127190514057, 0.0099519591174078992, 0.009987694162721255, 0.010029834863150554, 0.010080366254200101, 0.010142144961092116, 0.01021941367152451, 0.01031871456313675, 0.010450603745052755, 0.010633094307956708, 0.010899178302023263, 0.011315133791552381, 0.012031990120769612, 0.013462930017670193, 0.017121833203414111, 0.032663920221591848, 0.21864643512425644, 0.034904764582077211, 0.01506659328907899, 0.011621423501954869, 0.010521988363288702, 0.01005854673961701, 0.009829729511030779, 0.0097047250250265008, 0.0096315014191535042, 0.0095863821235850008, 0.0095574968891707045, 0.0095384448620376913, 0.0095255743855234276, 0.0095167074698432139, 0.0095104980011306867, 0.0095060896881784054, 0.0095029248331658135, 0.0095006330417232165, 0.0094989642183827445, 0.0094977470479099164, 0.0094968626359313371, 0.0094962274290639487, 0.0094957819585878723, 0.0094954833181502291, 0.0094953000800077503, 0.0094952088285309398, 0.0094951917800483732, 0.0094952351399514787, 0.0094953279642048753, 0.0094954613680538983, 0.0094956279747483944, 0.0094958215306453573, 0.0094960366358055968, 0.0094962685547818546, 0.0094965130830473865, 0.0094967664519758719, 0.0094970252604834691, 0.0094972864250762821, 0.0094975471425872392, 0.0094978048616630902, 0.0094980572603024851, 0.009498302227610023, 0.0094985378485301052, 0.0094987623907377226, 0.009498974293146157, 0.0094991721556840405, 0.0094993547301230156, 0.009499520911822934, 0.0094996697323169715, 0.0094998003526947077, 0.0094999120577627522, 0.0095000042509756251, 0.0095000764501366186, 0.0095001282838717577, 0.0095001594888813237, 0.009500169907973189, 0.0095001679039018599, 0.0095001618896805636, 0.0095001518592857572, 0.0095001378026729217, 0.009500119705768922, 0.0095000975504617724, 0.0095000713145884062, 0.0095000409719210692, 0.0095000064921533234, 0.0094999678408866865, 0.0094999249796193577, 0.0094998778657386512, 0.0094998264525192246, 0.0094997706891293363, 0.0094997105206483731, 0.0094996458880987362, 0.009499576728496514, 0.0094995029749257113, 0.0094994245566420079, 0.0094993413992130599, 0.0094992534247035996, 0.0094991605519155788, 0.0094990626966950029, 0.0094989597723199419, 0.0094988516899866763, 0.0094987383594145464, 0.0094986196895939269, 0.0094984955897069352, 0.0094983659702563734, 0.0094982307444456682, 0.009498089829861554, 0.0094979431505221156, 0.0094977906393660955, 0.0094976322412757726, 0.0094974679167459785, 0.0094972976463367133, 0.0094971214360778343, 0.0094969393240329023, 0.0094967513882773767, 0.0094965577566069638, 0.0094963586183678169, 0.0094961542388966921, 0.0094959449771814201, 0.0094957313075079777, 0.0094955138460605902, 0.0094952933836990865, 0.0094950709264720306, 0.0094948477458596872, 0.0094946254413122294, 0.0094944060184024258, 0.0094941919869139749, 0.0094939864845271209, 0.0094937934335712227, 0.0094936177407712648, 0.0094934655532851464, 0.0094933445889906019, 0.0094932645654951867, 0.0094932377615400618, 0.0094932797575993759, 0.0094934104214508021, 0.0094936552322641542, 0.0094940470779738585, 0.0094946287228074334, 0.0094954562369646556, 0.0094966038287519691, 0.0094981707552640893, 0.0095002913706761262, 0.0095031500080974916, 0.0095070034781836611, 0.0095122158787305598, 0.0095193138803110807, 0.0095290771946456437, 0.0095426917935471367, 0.009562019991897687, 0.0095900994918198378, 0.0096321189012424854, 0.0096974599449471104, 0.0098043536607168788, 0.0099917236764135858, 0.010354036577872001, 0.011167172543332441, 0.01350911252878691, 0.024400963352963753, 0.085655185834431574, 0.027015052289062334, 0.015199737817922603, 0.012359095790099554, 0.011268362180468375, 0.010732897629342507, 0.010428208771281491, 0.010237005490773901, 0.010108400169029681, 0.010017326933519794, 0.0099502289071506482, 0.0098992278477376648, 0.0098594772379128563, 0.0098278543855488693, 0.0098022685812748974, 0.0097812740247127574, 0.0097638428451043823, 0.0097492265740871976, 0.0097368686409303306, 0.0097263474166088808, 0.0097173381534780712, 0.0097095869527420529, 0.0097028925858787061, 0.0096970935631350494, 0.0096920587805827997, 0.0096876806540550156, 0.0096838700113293895, 0.0096805522473473928, 0.0096776644002760127, 0.0096751529083093368, 0.0096729718763181732, 0.0096710817290573941, 0.0096694481608094705, 0.0096680413147256714, 0.0096668351417846052, 0.0096658069012715148, 0.009664936773385837, 0.0096642075609725854, 0.0096636044621232139, 0.0096631148989851281, 0.0096627283909050243, 0.0096624364622609968, 0.0096622325771963391, 0.0096621120950854712, 0.0096620722420322231, 0.009662112095085466, 0.0096622325771963391, 0.0096624364622609968, 0.0096627283909050225, 0.0096631148989851263, 0.009663604462123207, 0.0096642075609725854, 0.0096649367733858405, 0.0096658069012715217, 0.0096668351417846122, 0.0096680413147256679, 0.0096694481608094636, 0.0096710817290573906, 0.0096729718763181715, 0.0096751529083093386, 0.009677664400276011, 0.0096805522473473894, 0.0096838700113293739, 0.009687680654055026, 0.0096920587805828084, 0.0096970935631350424, 0.0097028925858787026, 0.0097095869527420581, 0.0097173381534780764, 0.0097263474166088878, 0.0097368686409303358, 0.0097492265740872011, 0.0097638428451043736, 0.0097812740247127487, 0.0098022685812748991, 0.0098278543855488919, 0.0098594772379128632, 0.009899227847737677, 0.0099502289071506881, 0.010017326933519847, 0.010108400169029612, 0.010237005490773802, 0.010428208771281639, 0.010732897629342569, 0.011268362180467905, 0.012359095790098695, 0.015199737817921227, 0.027015052289075147, 0.085655185834435751, 0.024400963352968544, 0.013509112528787958, 0.011167172543332717, 0.010354036577871742, 0.0099917236764139293, 0.0098043536607169673, 0.0096974599449471104, 0.0096321189012425878, 0.0095900994918198708, 0.0095620199918977147, 0.009542691793547154, 0.0095290771946456455, 0.0095193138803110894, 0.009512215878730565, 0.0095070034781836628, 0.0095031500080974933, 0.0095002913706761245, 0.0094981707552640859, 0.0094966038287519691, 0.009495456236964659, 0.0094946287228074334, 0.0094940470779738603, 0.009493655232264156, 0.0094934104214507986, 0.0094932797575993724, 0.0094932377615400687, 0.0094932645654951884, 0.0094933445889905967, 0.0094934655532851447, 0.0094936177407712683, 0.0094937934335712262, 0.0094939864845271244, 0.0094941919869139732, 0.0094944060184024258, 0.0094946254413122225, 0.0094948477458596872, 0.0094950709264720306, 0.0094952933836990865, 0.0094955138460605867, 0.009495731307507976, 0.0094959449771814183, 0.0094961542388966955, 0.0094963586183678238, 0.0094965577566069655, 0.009496751388277375, 0.0094969393240329023, 0.009497121436077836, 0.0094972976463367168, 0.0094974679167459768, 0.0094976322412757708, 0.0094977906393660938, 0.0094979431505221191, 0.0094980898298615505, 0.0094982307444456664, 0.00949836597025637, 0.0094984955897069318, 0.0094986196895939321, 0.0094987383594145498, 0.0094988516899866746, 0.0094989597723199367, 0.0094990626966950011, 0.009499160551915577, 0.0094992534247036013, 0.0094993413992130564, 0.0094994245566420131, 0.009499502974925713, 0.0094995767284965157, 0.0094996458880987379, 0.0094997105206483749, 0.0094997706891293415, 0.0094998264525192229, 0.0094998778657386582, 0.0094999249796193543, 0.0094999678408866847, 0.0095000064921533234, 0.0095000409719210692, 0.0095000713145884062, 0.0095000975504617707, 0.0095001197057689186, 0.00950013780267292, 0.0095001518592857537, 0.0095001618896805636, 0.0095001679039018634, 0.0095001699079731838, 0.0095001689060475302, 0.0095001659005872121, 0.009500160892542981, 0.0095001538835021299, 0.0095001448756925361, 0.0095001338719883938, 0.0095001208759175736, 0.0095001058916707303, 0.0095000889241121378, 0.0095000699787923196, 0.0095000490619625514, 0.0095000261805912485, 0.0095000013423824029, 0.0094999745557960303, 0.0094999458300708516, 0.0094999151752492138, 0.0094998826022044507, 0.0094998481226707312, 0.009499811749275628, 0.0094997734955754518, 0.0094997333760936994, 0.0094996914063626217, 0.0094996476029682187, 0.0094996019835989313, 0.009499554567098209, 0.0094995053735212592, 0.0094994544241962815, 0.0094994017417906092, 0.0094993473503819491, 0.0094992912755353046, 0.0094992335443859609, 0.009499174185728973, 0.0094991132301158014, 0.0094990507099585939, 0.0094989866596428239, 0.009498921115648996, 0.0094988541166842293, 0.0094987857038245031, 0.0094987159206686971, 0.0094986448135053608, 0.0094985724314934367, 0.0094984988268582982, 0.0094984240551044957, 0.009498348175246845, 0.0094982712500616996, 0.0094981933463603469, 0.0094981145352868099, 0.0094980348926424884, 0.0094979544992404956, 0.0094978734412927025, 0.009497791810833071, 0.0094977097061811084, 0.0094976272324498526, 0.0094975445021033417, 0.0094974616355690978, 0.0094973787619119093, 0.009497296019576041, 0.009497213557203758, 0.0094971315345394776, 0.0094970501234296831, 0.009496969508930456, 0.0094968898905360335, 0.0094968114835436088, 0.0094967345205720314, 0.0094966592532543231, 0.0094965859541271888, 0.0094965149187440281, 0.0094964464680421037, 0.0094963809509992121, 0.0094963187476210589, 0.0094962602723068536, 0.0094962059776487577, 0.0094961563587300079, 0.0094961119579976064, 0.0094960733707985818, 0.0094960412516847566, 0.0094960163216096741, 0.009495999376164228, 0.0094959912950249303, 0.0094959930528221367, 0.0094960057316759942, 0.0094960305356972981, 0.0094960688078111061, 0.0094961220493355748, 0.0094961919428404821, 0.009496280378924523, 0.0094963894876930639, 0.0094965216758969035, 0.0094966796709177285, 0.0094968665730714528, 0.0094970859180632944, 0.0094973417518939181, 0.0094976387211149742, 0.0094979821821091666, 0.0094983783340849021, 0.0094988343818086154, 0.0094993587358654808, 0.0094999612605980738, 0.009500653583049759, 0.0095014494805561543, 0.0095023653705479227, 0.0095034209343308178, 0.0095046399180954994, 0.0095060511706828079, 0.0095076900009693991, 0.0095095999716589778, 0.0095118352962713995, 0.009514464080989703, 0.0095175727670024912, 0.0095212723056764832, 0.0095257068783112832, 0.0095310664237842971, 0.0095376049847942148, 0.0095456681536233642, 0.0095557351214534923, 0.009568484856101709, 0.0095849034791900267, 0.0096064646819765467, 0.009635445337629547, 0.0096755042365541302, 0.0097328039763708331, 0.0098183352418542459, 0.009953135651134197, 0.010181218294792311, 0.010605653526996767, 0.011503567650271194, 0.013714998415353811, 0.018920839130628107, 0.012048246394013428, 0.01015919148586384, 0.0098053295186217911, 0.009683286396430249, 0.0096280310126800328, 0.0095995427204228004, 0.0095843495834522108, 0.0095770016310533137, 0.0095750996513533412, 0.0095776409786148108, 0.0095843972878255843, 0.0095956799751795146, 0.0096122814178231791, 0.0096355162137104471, 0.0096673324527315682, 0.0097104707029457404, 0.0097686218207829814, 0.0098464523734558881, 0.0099491902441448104, 0.010081185688424768, 0.010242686183158205, 0.010424731825133055, 0.010604720986031256, 0.010748846415282736, 0.010825757683244418, 0.010823817649757915, 0.010756111408838817, 0.010649393199541645, 0.01052937636760925, 0.010413205691957845, 0.010309326747566506, 0.010220344010728327, 0.010145806198895097, 0.010084012248222619, 0.010032959340576597, 0.0099907623564187819, 0.0099557995664604944, 0.0099267334996199878, 0.0099024827657825838, 0.0098821798196756221, 0.0098651292535496884, 0.0098507717402162055, 0.0098386546671764951, 0.0098284089259486236, 0.0098197308464012707, 0.0098123682415116337, 0.0098061096621132882, 0.0098007761306535945, 0.0097962147803768423, 0.0097922939572380307, 0.0097888994451499067, 0.0097859315545223199, 0.0097833028742145781, 0.0097809365324219456, 0.0097787648463438237, 0.0097767282666221741, 0.0097747745426845691, 0.0097728580508934654, 0.009770939239961118, 0.0097689841582666095, 0.0097669640360777913, 0.0097648549026248931, 0.0097626372237475546, 0.0097602955506108386, 0.0097578181738730892, 0.0097551967807707578, 0.0097524261149365913, 0.009749503640456814, 0.0097464292127762038, 0.0097432047596582808, 0.0097398339755878898, 0.0097363220328537965, 0.0097326753121554088, 0.0097289011550223559, 0.0097250076396895591, 0.0097210033813953968, 0.0097168973574140467, 0.0097126987565331491, 0.0097084168521665067, 0.0097040608978642279, 0.009699640043653486, 0.0096951632714098578, 0.0096906393473150977, 0.0096860767893916355, 0.0096814838481044056, 0.0096768684980746873, 0.0096722384390443908, 0.0096676011043528853, 0.0096629636753298286, 0.0096583331001591586, 0.0096537161159240773, 0.0096491192726940542, 0.0096445489586605357, 0.009640011425463231, 0.0096355128129736803, 0.0096310591729156219, 0.0096266564908023093, 0.0096223107057609985, 0.0096180277278935175, 0.0096138134528918392, 0.0096096737736891969, 0.0096056145889822416, 0.0096016418085093005, 0.0095977613550149721, 0.0095939791628740952, 0.0095903011733876262, 0.0095867333268027568, 0.0095832815511474705, 0.0095799517480080979, 0.0095767497754163013, 0.0095736814280504776, 0.0095707524149936645, 0.0095679683353274512, 0.0095653346518771009, 0.0095628566634565308, 0.0095605394759924987, 0.0095583879729341792, 0.009556406785375806, 0.0095546002623365586, 0.0095529724416502249, 0.0095515270219193853, 0.0095502673359816465, 0.0095491963263202237, 0.0095483165228271213, 0.009547630023293667, 0.0095471384769624645, 0.0095468430714252938, 0.0095467445230958594, 0.0095468102247604492, 0.0095470072033510753, 0.0095473350801402023, 0.0095477932255140993, 0.0095483807613470032, 0.0095490965642766011, 0.009549939269833569, 0.0095509072773649374, 0.0095519987556793376, 0.0095532116493312474, 0.0095545436854509724, 0.0095559923810182405, 0.0095575550504694452, 0.0095592288135214754, 0.0095610106030900571, 0.0095628971731756291, 0.0095648851065875794, 0.0095669708223751777, 0.0095691505828337069, 0.0095714204999550658, 0.0095737765411940279, 0.0095762145344254965, 0.0095787301719722721, 0.0095813190135899326, 0.0095839764883028037, 0.0095866978949947276, 0.0095894784016696683, 0.0095923130433107472, 0.0095951967182816584, 0.0095981241832331903, 0.0096010900464984922, 0.0096040887599857933, 0.0096071146096059958, 0.0096101617043052468, 0.0096132239638112189, 0.0096162951052451255, 0.0096193686288010248, 0.0096224378027502614, 0.0096254956480915019, 0.009628534923236674, 0.0096315481091994448, 0.0096345273958357118, 0.009637464669773237, 0.0096403515047592554, 0.0096431791552475769, 0.0096459385541376817, 0.0096486203156629681, 0.0096512147444990492, 0.0096537118522185879, 0.0096561013822497981, 0.0096583728444927554, 0.0096605155607012889, 0.009662518721639559, 0.0096643714568613523, 0.0096660629177279436, 0.0096675823739709923, 0.0096689193237155836, 0.0096700636164063093, 0.0096710055875314765, 0.0096717362034299068, 0.0096722472138107609, 0.0096725313089473901, 0.009672582277856577, 0.0096723951631867179, 0.0096719664080588772, 0.009671293989780937, 0.0096703775352337505, 0.0096692184128464691, 0.0096678197964641423, 0.0096661866970742336, 0.0096643259592911063, 0.0096622462206672373, 0.0096599578332554979, 0.0096574727483157517, 0.0096548043665555562, 0.0096519673577255324, 0.0096489774546622536, 0.0096458512279010943, 0.0096426058477028925, 0.0096392588407072256, 0.0096358278484267468, 0.0096323303944422668, 0.0096287836664858562, 0.0096252043186677294, 0.0096216082979859348, 0.0096180106980370723, 0.0096144256416013461, 0.009610866192580645, 0.0096073442966841671, 0.0096038707493293195, 0.0096004551884845777, 0.0095971061096381347, 0.0095938308997298213, 0.0095906358867196111, 0.0095875264014614863, 0.0095845068486787015, 0.009581580784065527, 0.0095787509948407588, 0.0095760195814233069, 0.0095733880382644215, 0.0095708573322357809, 0.0095684279773217834, 0.0095661001046870326, 0.0095638735274789985, 0.0095617477999770228, 0.0095597222709116504, 0.0095577961309527872, 0.0095559684545043731, 0.009554238236050068, 0.0095526044213728109, 0.0095510659340250787, 0.0095496216974598376, 0.0095482706532489074, 0.0095470117758184991, 0.0095458440841243251, 0.0095447666506736136, 0.0095437786082802276, 0.0095428791549144413, 0.0095420675569813686, 0.0095413431513332956, 0.0095407053462915822, 0.0095401536219246186, 0.0095396875297988851, 0.0095393066923922919, 0.0095390108023311482, 0.0095387996215854226, 0.0095386729807315235, 0.0095386307783662493], [0.01068969330747661, 0.010689795594571028, 0.01069010235891963, 0.010690613311268965, 0.010691327974691229, 0.010692245692302165, 0.010693365638018646, 0.010694686830311627, 0.010696208148900158, 0.010697928354325618, 0.010699846110342279, 0.010701960009059685, 0.010704268598776904, 0.01070677041445801, 0.01070946401081182, 0.010712347997959124, 0.010715421079696995, 0.010718682094403411, 0.010722130058666081, 0.010725764213770412, 0.010729584075240786, 0.010733589485701876, 0.010737780671410579, 0.010742158302910776, 0.010746723560381489, 0.010751478204390591, 0.010756424652934984, 0.010761566065849165, 0.010766906437906971, 0.010772450702234461, 0.01077820484600823, 0.010784176040851282, 0.010790372790875908, 0.010796805101991269, 0.010803484676925988, 0.010810425141462948, 0.010817642308705779, 0.010825154489880102, 0.010832982862329485, 0.010841151908147263, 0.010849689940499983, 0.010858629739428282, 0.010868009325149816, 0.010877872905185994, 0.010888272042762664, 0.010899267108999805, 0.010910929101998399, 0.010923341944379245, 0.010936605410567245, 0.010950838891303005, 0.010966186283355264, 0.010982822409354928, 0.011000961545213763, 0.011020868891443682, 0.011042876220184102, 0.01106740354620411, 0.011094989652402115, 0.011126335903949141, 0.011162370474904964, 0.011204344760483584, 0.011253982061991102, 0.011313714080046552, 0.011387070746119939, 0.011479350188136351, 0.011598828413679053, 0.011759077103204556, 0.011983739927695771, 0.012317318438365114, 0.012852603445582292, 0.013812674085977604, 0.015860869552177626, 0.021814954590971526, 0.056709921584653482, 0.15148663047831482, 0.024160139092110448, 0.014412467772500511, 0.012187476900821753, 0.011396946980083656, 0.011046576496054603, 0.010869618734482845, 0.010772356199511493, 0.010715719802158444, 0.010681376135299984, 0.010659945714702699, 0.010646306098913707, 0.010637515016995593, 0.010631814463195966, 0.010628120952825568, 0.010625750259720653, 0.010624261992948986, 0.010623368489200565, 0.010622879695904749, 0.010622668934794169, 0.010622651164711235, 0.010622768932269346, 0.010622983162649733, 0.010623267058577667, 0.010623602028365452, 0.01062397495622657, 0.010624376369629781, 0.010624799210522633, 0.010625238014890554, 0.010625688368914671, 0.010626146552310492, 0.01062660930785804, 0.010627073695424613, 0.010627537001973941, 0.010627996688124886, 0.010628450358077871, 0.010628895744044738, 0.010629330699293801, 0.010629753195966712, 0.01063016132521959, 0.010630553298185871, 0.010630927446889947, 0.010631282224655704, 0.010631616205820498, 0.010631928084729798, 0.010632216674084724, 0.010632480902766157, 0.010632719813281373, 0.010632932558983264, 0.010633118401205092, 0.010633276706440452, 0.010633406943682047, 0.010633508682015676, 0.010633581588548666, 0.010633625426735913, 0.010633640055151005, 0.010633637376291858, 0.010633629336488032, 0.010633615926053001, 0.010633597128818041, 0.010633572922095616, 0.010633543276628171, 0.010633508156522708, 0.010633467519171168, 0.010633421315157097, 0.010633369488148995, 0.010633311974780811, 0.010633248704520348, 0.010633179599526499, 0.010633104574496226, 0.010633023536502969, 0.010632936384827934, 0.010632843010786585, 0.010632743297552878, 0.010632637119984703, 0.010632524344454324, 0.01063240482868898, 0.010632278421627764, 0.010632144963302059, 0.010632004284748874, 0.010631856207968199, 0.010631700545938014, 0.010631537102703736, 0.010631365673562477, 0.010631186045367162, 0.010630997996980975, 0.010630801299919631, 0.010630595719227288, 0.010630381014642368, 0.010630156942122396, 0.010629923255813007, 0.010629679710565986, 0.010629426065136059, 0.010629162086216948, 0.010628887553516066, 0.010628602266116088, 0.010628306050433224, 0.010627998770160301, 0.010627680338682463, 0.010627350734580656, 0.010627010021001871, 0.010626658369886606, 0.010626296092318192, 0.010625923676617039, 0.010625541836272285, 0.010625151570423919, 0.010624754240432816, 0.010624351667178608, 0.010623946255211876, 0.010623541151905018, 0.010623140452509885, 0.010622749465846579, 0.010622375060669036, 0.0106220261202451, 0.010621714143351882, 0.010621454045237242, 0.010621265234470692, 0.01062117307464934, 0.010621210889433816, 0.010621422744736464, 0.010621867358516024, 0.010622623672545668, 0.010623798916474532, 0.01062554048151482, 0.010628053742558163, 0.010631629391765974, 0.01063668639310522, 0.010643841380588197, 0.010654024396947041, 0.01066867914366171, 0.010690124686485305, 0.010722243014863618, 0.010771868997696337, 0.010851821344762012, 0.010988174599860593, 0.011240021227936761, 0.011763122089819809, 0.013072354807768045, 0.017645556777712641, 0.047905066155488778, 0.055185120627729747, 0.020632251232017278, 0.014842293121456797, 0.013022262673825478, 0.012219736766760763, 0.011791982093033053, 0.011534936347571242, 0.011367230935632962, 0.011251088428701589, 0.011166949989346244, 0.011103823629287305, 0.01105512349744937, 0.011016695626615693, 0.010985807078460327, 0.010960595306768996, 0.010939752389518871, 0.010922335918051616, 0.010907651455469552, 0.010895177092252297, 0.010884513642201051, 0.01087535094041465, 0.010867444530897908, 0.010860599221971447, 0.010854657281258197, 0.010849489827342318, 0.010844990463943551, 0.010841070513531541, 0.010837655409373025, 0.010834681938709409, 0.010832096119729883, 0.010829851556467308, 0.010827908158315074, 0.010826231140715376, 0.010824790244739625, 0.010823559128451584, 0.010822514893925311, 0.010821637721825225, 0.010820910591412516, 0.01082031906833132, 0.010819851145990591, 0.01081949712910745, 0.010819249550245774, 0.010819103112133773, 0.01081905465029245, 0.010819103112133771, 0.01081924955024577, 0.01081949712910745, 0.010819851145990593, 0.010820319068331316, 0.010820910591412507, 0.010821637721825225, 0.010822514893925316, 0.01082355912845159, 0.010824790244739632, 0.010826231140715377, 0.01082790815831507, 0.010829851556467303, 0.01083209611972988, 0.010834681938709413, 0.010837655409373021, 0.010841070513531535, 0.010844990463943532, 0.010849489827342325, 0.010854657281258204, 0.01086059922197144, 0.010867444530897906, 0.01087535094041465, 0.010884513642201051, 0.010895177092252304, 0.01090765145546956, 0.010922335918051617, 0.010939752389518864, 0.010960595306768989, 0.010985807078460329, 0.011016695626615721, 0.011055123497449375, 0.011103823629287324, 0.011166949989346293, 0.011251088428701652, 0.011367230935632874, 0.011534936347571101, 0.011791982093033258, 0.012219736766760867, 0.013022262673824732, 0.014842293121455248, 0.020632251232014395, 0.055185120627770402, 0.047905066155469349, 0.017645556777714753, 0.013072354807768506, 0.01176312208981996, 0.011240021227936573, 0.010988174599860845, 0.010851821344762078, 0.010771868997696341, 0.0107222430148637, 0.010690124686485324, 0.010668679143661727, 0.010654024396947055, 0.010643841380588201, 0.010636686393105225, 0.010631629391765979, 0.010628053742558159, 0.010625540481514817, 0.010623798916474528, 0.010622623672545668, 0.010621867358516024, 0.010621422744736467, 0.010621210889433814, 0.010621173074649345, 0.010621265234470698, 0.01062145404523724, 0.010621714143351876, 0.010622026120245105, 0.010622375060669037, 0.010622749465846577, 0.010623140452509883, 0.01062354115190502, 0.010623946255211882, 0.010624351667178613, 0.010624754240432814, 0.010625151570423918, 0.010625541836272279, 0.010625923676617043, 0.010626296092318197, 0.010626658369886603, 0.010627010021001873, 0.010627350734580652, 0.010627680338682466, 0.010627998770160303, 0.010628306050433224, 0.010628602266116085, 0.010628887553516059, 0.01062916208621695, 0.010629426065136059, 0.010629679710565989, 0.010629923255813006, 0.010630156942122397, 0.010630381014642368, 0.010630595719227292, 0.010630801299919624, 0.010630997996980971, 0.010631186045367157, 0.010631365673562477, 0.010631537102703738, 0.010631700545938014, 0.010631856207968195, 0.010632004284748873, 0.010632144963302052, 0.010632278421627761, 0.010632404828688982, 0.010632524344454317, 0.010632637119984705, 0.010632743297552887, 0.010632843010786581, 0.010632936384827934, 0.010633023536502969, 0.010633104574496227, 0.010633179599526492, 0.010633248704520348, 0.010633311974780809, 0.010633369488148995, 0.010633421315157099, 0.010633467519171163, 0.010633508156522711, 0.010633543276628172, 0.010633572922095607, 0.010633597128818043, 0.010633615926053002, 0.010633629336488039, 0.01063363737629186, 0.010633640055150996, 0.010633638715876846, 0.010633634698306818, 0.010633628003198867, 0.010633618631818517, 0.010633606585942245, 0.010633591867862311, 0.010633574480392914, 0.010633554426877819, 0.010633531711199485, 0.010633506337789598, 0.010633478311641301, 0.010633447638322897, 0.010633414323993347, 0.010633378375419396, 0.010633339799994646, 0.010633298605760432, 0.010633254801428842, 0.01063320839640771, 0.010633159400828032, 0.010633107825573579, 0.010633053682313241, 0.010632996983535904, 0.010632937742588281, 0.010632875973715825, 0.010632811692106905, 0.010632744913940496, 0.010632675656437681, 0.010632603937917259, 0.010632529777855648, 0.01063245319695159, 0.01063237421719595, 0.010632292861947027, 0.010632209156011835, 0.010632123125733873, 0.010632034799087942, 0.010631944205782562, 0.010631851377370754, 0.010631756347369768, 0.010631659151390803, 0.01063155982727941, 0.010631458415267645, 0.010631354958139168, 0.010631249501408349, 0.01063114209351489, 0.010631032786035352, 0.010630921633913378, 0.010630808695710391, 0.010630694033878924, 0.010630577715060829, 0.010630459810413056, 0.010630340395963868, 0.010630219553002748, 0.010630097368507707, 0.010629973935614047, 0.010629849354129296, 0.010629723731099444, 0.01062959718143254, 0.010629469828586056, 0.010629341805325907, 0.010629213254565442, 0.01062908433029427, 0.010628955198608011, 0.01062882603885159, 0.010628697044890582, 0.01062856842652714, 0.01062844041107951, 0.010628313245146943, 0.010628187196585242, 0.010628062556721791, 0.010627939642843916, 0.010627818800999261, 0.010627700409153592, 0.010627584880758743, 0.010627472668792269, 0.010627364270340932, 0.010627260231812732, 0.010627161154877168, 0.010627067703251475, 0.010626980610472283, 0.010626900688818306, 0.010626828839581479, 0.010626766064922563, 0.010626713481594286, 0.010626672336873205, 0.010626644027112029, 0.010626630119412608, 0.010626632377028393, 0.010626652789241436, 0.010626693606629042, 0.010626757382850054, 0.01062684702435167, 0.010626965849743569, 0.010627117661027878, 0.010627306829442752, 0.010627538399415021, 0.010627818215078978, 0.010628153075082601, 0.010628550923073948, 0.01062902108349106, 0.010629574555277431, 0.010630224380213207, 0.010630986108123124, 0.010631878388925429, 0.010632923732252896, 0.01063414949059506, 0.010635589143683181, 0.010637283993395568, 0.010639285424840786, 0.010641657958480178, 0.010644483423111781, 0.010647866741579042, 0.010651944076119376, 0.010656894490307302, 0.010662956959271268, 0.010670455699025725, 0.010679838764666169, 0.010691738415974556, 0.010707068344531013, 0.010727185619556715, 0.010754171070120239, 0.010791337060033181, 0.010844197041800794, 0.010922437161046399, 0.011044241394616742, 0.011246695484155998, 0.011613765642351823, 0.012361723401006712, 0.014123902179114255, 0.017149292103265604, 0.011749029893859392, 0.011071978727200137, 0.010877384834692611, 0.01079651931675139, 0.010756555347657404, 0.010735527564411897, 0.010725104270755509, 0.010721741330650198, 0.010723955772616298, 0.010731347948458056, 0.010744239127174786, 0.010763573401355135, 0.010790963518916155, 0.010828836405804424, 0.010880650766234099, 0.010951128216175771, 0.011046332040604201, 0.01117318609538729, 0.011337625627690017, 0.011540274247933835, 0.011769420409142466, 0.011994857590811894, 0.012171514060182048, 0.012258898043260212, 0.012244544739626117, 0.012148889896593606, 0.012008372094945098, 0.011855731278238349, 0.011711394702859364, 0.011584520144508526, 0.011477225486885633, 0.011388216259574088, 0.011314966796041786, 0.011254788886111223, 0.011205264078508803, 0.011164366690576836, 0.011130455755162548, 0.011102221432051793, 0.011078622951471787, 0.011058832193925306, 0.011042186935577005, 0.011028153755692723, 0.011016299241151732, 0.011006267865561876, 0.010997765070398346, 0.010990544338454696, 0.010984397310882315, 0.010979146220486985, 0.010974638089305907, 0.010970740272679694, 0.010967337032933486, 0.010964326901062475, 0.010961620640922059, 0.010959139672415855, 0.01095681484188449, 0.010954585452161561, 0.010952398483638447, 0.010950207952636916, 0.010947974365460871, 0.010945664236391211, 0.01094324964607922, 0.010940707823593826, 0.010938020740992361, 0.010935174713850837, 0.010932160004807425, 0.01092897042992963, 0.010925602969693804, 0.01092205738765512, 0.010918335860582681, 0.010914442624040671, 0.01091038363721604, 0.01090616627032864, 0.010901799017305988, 0.01089729123564645, 0.01089265291460367, 0.010887894472057232, 0.010883026579733683, 0.010878060015834246, 0.01087300554362822, 0.010867873814188734, 0.010862675291177548, 0.010857420195419694, 0.010852118466933862, 0.010846779742086799, 0.010841413343603827, 0.010836028281278099, 0.010830633261365364, 0.010825236702816076, 0.010819846758673144, 0.01081447134114313, 0.010809118149024445, 0.010803794696344694, 0.010798508341216094, 0.0107932663140623, 0.01078807574450044, 0.01078294368627879, 0.010777877139774263, 0.010772883071645346, 0.010767968431316633, 0.010763140164042633, 0.010758405220362033, 0.010753770561810878, 0.010749243162815518, 0.010744830008735596, 0.01074053809007316, 0.010736374392909899, 0.01073234588567837, 0.010728459502417277, 0.010724722122704654, 0.010721140548507173, 0.010717721478226369, 0.010714471478265881, 0.010711396952484405, 0.010708504109937664, 0.010705798931347628, 0.010703287134768067, 0.010700974140939653, 0.010698865038846893, 0.010696964551998304, 0.010695277005953463, 0.010693806297612182, 0.010692555866763176, 0.010691528670361878, 0.010690727159968173, 0.010690153262728215, 0.010689808366227278, 0.01068969330747661, 0.010689770016555595, 0.010689999996108561, 0.010690382803639289, 0.010690917703497987, 0.010691603669619409, 0.010692439389300659, 0.010693423267964283, 0.010694553434837261, 0.010695827749463307, 0.010697243808952882, 0.01069879895586371, 0.01070049028659421, 0.010702314660163071, 0.010704268707240384, 0.010706348839289443, 0.010708551257672998, 0.010710871962575049, 0.010713306761586307, 0.010715851277801699, 0.010718500957279041, 0.01072125107571029, 0.010724096744161379, 0.010727032913741682, 0.010730054379072073, 0.01073315578042925, 0.010736331604455182, 0.010739576183333672, 0.010742883692351796, 0.010746248145781784, 0.010749663391040725, 0.010753123101109872, 0.010756620765224377, 0.010760149677877891, 0.010763702926224276, 0.010767273376003904, 0.010770853656172238, 0.010774436142466169, 0.01077801294020903, 0.010781575866728241, 0.010785116433840622, 0.010788625830949411, 0.010792094909393221, 0.010795514168789282, 0.010798873746219625, 0.010802163409216794, 0.01080537255361105, 0.010808490207399239, 0.010811505041880737, 0.010814405391369873, 0.010817179282828991, 0.010819814476761721, 0.010822298520650636, 0.010824618816107105, 0.01082676270071163, 0.010828717545250732, 0.010830470866693798, 0.010832010456795355, 0.0108333245256561, 0.01083440185893586, 0.010835231986699136, 0.010835805361110914, 0.010836113539421016, 0.010836149367919885, 0.010835907161866812, 0.010835382875837581, 0.010834574258567932, 0.010833480986236009, 0.010832104768274479, 0.010830449420263386, 0.010828520899238716, 0.010826327297848607, 0.010823878795160778, 0.010821187563510751, 0.010818267632495066, 0.010815134712956474, 0.010811805985470404, 0.010808299859315021, 0.010804635709094425, 0.010800833597009693, 0.010796913989185801, 0.010792897474447588, 0.010788804493509581, 0.010784655085747981, 0.010780468659629025, 0.010776263791561172, 0.010772058056515446, 0.010767867892310282, 0.01076370849807135, 0.010759593766121822, 0.010755536245488294, 0.010751547134354264, 0.010747636298170094, 0.010743812309733466, 0.010740082507370217, 0.010736453067345339, 0.010732929086785822, 0.010729514673665818, 0.010726213040754749, 0.010723026600830333, 0.01071995706088124, 0.010717005513446993, 0.010714172523647109, 0.01071145821082479, 0.010708862324065259, 0.010706384311139084, 0.010704023380667208, 0.010701778557506385, 0.010699648731514539, 0.010697632699979653, 0.010695729204086154, 0.010693936959855712, 0.01069225468403774, 0.010690681115444502, 0.010689215032229396, 0.010687855265598631, 0.010686600710429222, 0.010685450333241793, 0.010684403177948342, 0.01068345836976314, 0.010682615117631701, 0.010681872715498459, 0.01068123054270002, 0.010680688063736492, 0.01068024482764135, 0.010679900467137494, 0.010679654697736581, 0.010679507316908761, 0.01067945820342032], [0.012078611063010471, 0.012078730535215817, 0.012079088838925188, 0.012079685637214566, 0.012080520374522549, 0.01208159228559081, 0.01208290040792661, 0.012084443597736669, 0.012086220549270638, 0.012088229817504712, 0.012090469844092892, 0.012092938986512619, 0.012095635550337169, 0.012098557824577968, 0.012101704120056223, 0.012105072810786705, 0.012108662378387394, 0.012112471459567949, 0.012116498896797522, 0.012120743792311825, 0.012125205565688914, 0.012129884015307745, 0.012134779384101868, 0.012139892430139645, 0.012145224502701319, 0.012150777624689362, 0.01215655458240718, 0.01216255902397761, 0.012168795567959056, 0.012175269924062981, 0.012181989028297407, 0.012188961195379027, 0.01219619629189298, 0.012203705934471702, 0.012211503718253188, 0.012219605482123776, 0.012228029618825333, 0.012236797440014709, 0.012245933608939934, 0.01225546665672546, 0.012265429602592082, 0.012275860704017826, 0.012286804370355, 0.012298312283426196, 0.012310444782077217, 0.012323272585926113, 0.01233687895858035, 0.012351362445277955, 0.012366840368521918, 0.012383453334261378, 0.012401371100387399, 0.012420800304086318, 0.012441994759213799, 0.012465269358528982, 0.012491019113046724, 0.012519745641126019, 0.012552094672317013, 0.012588910192225749, 0.012631314343451962, 0.012680828290808419, 0.01273956028358602, 0.012810507912437839, 0.012898062513998613, 0.013008888892248792, 0.013153542337459434, 0.013349635896959299, 0.013628551213581103, 0.014051150095970721, 0.014749729567132008, 0.016062476819475417, 0.019099943287623045, 0.029558349563289961, 0.12469067091934082, 0.064111534670754214, 0.020087219497908499, 0.014632863248069679, 0.013132894809080427, 0.012557111878795124, 0.012293250989480911, 0.012158769650806542, 0.012085459592651187, 0.012043765044777666, 0.012019470308773844, 0.012005192355754401, 0.011996868138306633, 0.011992160718816184, 0.011989680080136463, 0.011988578495117934, 0.011988329677912742, 0.011988603138312163, 0.011989190176023203, 0.011989959014376503, 0.01199082694842757, 0.011991742725913192, 0.011992675240997385, 0.011993606207196097, 0.011994525383386075, 0.011995427460951089, 0.011996310042829915, 0.011997172344917961, 0.011998014376546771, 0.011998836438171628, 0.011999638827765984, 0.012000421682902648, 0.012001184909355107, 0.012001928163218904, 0.012002650864568472, 0.01200335222818451, 0.012004031302017708, 0.012004687007539228, 0.012005318178477513, 0.012005923596004869, 0.012006502019460201, 0.012007052212345461, 0.012007572963731887, 0.012008063105440211, 0.012008521525474821, 0.012008947178234339, 0.012009339092018531, 0.012009696374321617, 0.012010018215357616, 0.012010303890212523, 0.0120105527599659, 0.012010764272073444, 0.012010937960255102, 0.012011073444089632, 0.012011170428477502, 0.012011228703098689, 0.012011248141960166, 0.012011244689943705, 0.012011234329295451, 0.012011217046205093, 0.012011192817609675, 0.012011161611124947, 0.01201112338494891, 0.012011078087737572, 0.012011025658452468, 0.012010966026179789, 0.012010899109920731, 0.012010824818352733, 0.012010743049561233, 0.012010653690741677, 0.0120105566178713, 0.012010451695350749, 0.012010338775615147, 0.012010217698714777, 0.012010088291865588, 0.012009950368970143, 0.012009803730109759, 0.012009648161009316, 0.012009483432476861, 0.012009309299820525, 0.012009125502246873, 0.012008931762245453, 0.012008727784966398, 0.012008513257599532, 0.012008287848766083, 0.012008051207937243, 0.012007802964897426, 0.012007542729275145, 0.012007270090170309, 0.012006984615914157, 0.012006685854007755, 0.012006373331296342, 0.012006046554452062, 0.012005705010855922, 0.012005348169993442, 0.012004975485508159, 0.012004586398094944, 0.012004180339462739, 0.012003756737657714, 0.012003315024116001, 0.012002854642915782, 0.012002375062828398, 0.012001875792936495, 0.012001356402806198, 0.012000816548487532, 0.012000256005994227, 0.011999674714413726, 0.011999072831462669, 0.011998450805193203, 0.011997809466756401, 0.011997150150759892, 0.011996474851990216, 0.011995786430352746, 0.011995088880175621, 0.011994387686059904, 0.011993690296031399, 0.0119930067550592, 0.011992350559889578, 0.011991739822456481, 0.011991198868376803, 0.011990760456454129, 0.011990468896523346, 0.011990384486093608, 0.011990589914704598, 0.0119911996573703, 0.011992374000064599, 0.011994340404749988, 0.011997426798113133, 0.012002114785607365, 0.012009127248244702, 0.0120195774964538, 0.012035233441932825, 0.012059007720896603, 0.012095918964680595, 0.012155109021986342, 0.012254447832520245, 0.012432241872879023, 0.012781594383373899, 0.01357369638885143, 0.015857555742919423, 0.026296788909105463, 0.092099694037704655, 0.032685135657359192, 0.018663371191134606, 0.015358132227115377, 0.01409699680839629, 0.013478181054994794, 0.013125373283603031, 0.012903299346594534, 0.012753406775974252, 0.012646871552453273, 0.012568097345884072, 0.012508010838138763, 0.012461021881616838, 0.012423522202508228, 0.012393091214423852, 0.012368051485096888, 0.012347207870767832, 0.012329688157335969, 0.012314842286216042, 0.012302176682518552, 0.012291310314487217, 0.012281944599617668, 0.012273842362420453, 0.012266812846618659, 0.012260700861788027, 0.012255378807041438, 0.012250740731668618, 0.012246697861144438, 0.012243175193061366, 0.012240108885145588, 0.01223744423729829, 0.012235134124516243, 0.012233137775838582, 0.012231419821488843, 0.012229949549661693, 0.012228700328308377, 0.012227649157413867, 0.012226776324749809, 0.012226065143710224, 0.012225501756152234, 0.012225074986567074, 0.012224776236688495, 0.012224599412011317, 0.012224540873789252, 0.01222459941201131, 0.012224776236688493, 0.012225074986567075, 0.012225501756152234, 0.01222606514371022, 0.0122267763247498, 0.01222764915741387, 0.012228700328308377, 0.012229949549661698, 0.012231419821488851, 0.012233137775838581, 0.012235134124516234, 0.012237444237298277, 0.012240108885145588, 0.012243175193061369, 0.012246697861144434, 0.012250740731668607, 0.012255378807041421, 0.012260700861788034, 0.012266812846618673, 0.012273842362420444, 0.012281944599617674, 0.012291310314487222, 0.012302176682518555, 0.012314842286216047, 0.012329688157335978, 0.012347207870767837, 0.012368051485096874, 0.01239309121442384, 0.012423522202508227, 0.012461021881616871, 0.012508010838138775, 0.012568097345884091, 0.012646871552453332, 0.012753406775974337, 0.012903299346594423, 0.013125373283602831, 0.013478181054995101, 0.014096996808396444, 0.015358132227114135, 0.018663371191131577, 0.032685135657351767, 0.092099694037692886, 0.026296788909100043, 0.015857555742920238, 0.013573696388851668, 0.012781594383373998, 0.012432241872878901, 0.012254447832520426, 0.012155109021986394, 0.012095918964680602, 0.012059007720896667, 0.012035233441932842, 0.012019577496453817, 0.012009127248244713, 0.012002114785607363, 0.01199742679811314, 0.011994340404749991, 0.011992374000064598, 0.011991199657370295, 0.011990589914704591, 0.01199038448609361, 0.011990468896523344, 0.011990760456454138, 0.011991198868376799, 0.011991739822456483, 0.01199235055988958, 0.0119930067550592, 0.011993690296031395, 0.011994387686059912, 0.011995088880175623, 0.011995786430352743, 0.011996474851990213, 0.011997150150759899, 0.011997809466756406, 0.011998450805193208, 0.011999072831462671, 0.011999674714413726, 0.01200025600599422, 0.012000816548487536, 0.012001356402806206, 0.012001875792936493, 0.012002375062828396, 0.012002854642915782, 0.012003315024116005, 0.012003756737657714, 0.012004180339462737, 0.01200458639809494, 0.012004975485508156, 0.012005348169993445, 0.012005705010855927, 0.012006046554452062, 0.012006373331296337, 0.012006685854007751, 0.01200698461591416, 0.012007270090170311, 0.012007542729275142, 0.012007802964897422, 0.012008051207937236, 0.012008287848766083, 0.012008513257599537, 0.012008727784966401, 0.01200893176224545, 0.01200912550224687, 0.01200930929982052, 0.012009483432476856, 0.012009648161009323, 0.012009803730109757, 0.012009950368970148, 0.012010088291865595, 0.012010217698714774, 0.012010338775615147, 0.012010451695350753, 0.012010556617871305, 0.012010653690741675, 0.012010743049561234, 0.012010824818352729, 0.012010899109920727, 0.012010966026179787, 0.012011025658452466, 0.012011078087737574, 0.012011123384948912, 0.012011161611124942, 0.012011192817609675, 0.012011217046205095, 0.012011234329295453, 0.012011244689943707, 0.012011248141960159, 0.012011246416158913, 0.012011241238940496, 0.012011232610861441, 0.012011220532851124, 0.0120112050062145, 0.012011186032636014, 0.012011163614184528, 0.012011137753319518, 0.012011108452898414, 0.012011075716185123, 0.012011039546859888, 0.012010999949030356, 0.012010956927244111, 0.012010910486502499, 0.012010860632276047, 0.01201080737052135, 0.012010750707699686, 0.012010690650797236, 0.012010627207347281, 0.012010560385454176, 0.012010490193819549, 0.012010416641770596, 0.012010339739290709, 0.012010259497052689, 0.012010175926454607, 0.012010089039658495, 0.012009998849632209, 0.0120099053701946, 0.012009808616064249, 0.012009708602912049, 0.012009605347418099, 0.012009498867332933, 0.01200938918154382, 0.012009276310146252, 0.012009160274521284, 0.012009041097419095, 0.012008918803049405, 0.012008793417179276, 0.012008664967239038, 0.012008533482437108, 0.012008398993884378, 0.01200826153472929, 0.012008121140304404, 0.012007977848285762, 0.012007831698866097, 0.012007682734943502, 0.012007531002326873, 0.012007376549960005, 0.012007219430166159, 0.012007059698915287, 0.012006897416116335, 0.012006732645937233, 0.012006565457155635, 0.012006395923543779, 0.012006224124291299, 0.012006050144470206, 0.012005874075546975, 0.012005696015947085, 0.012005516071678313, 0.012005334357019747, 0.012005150995284441, 0.012004966119664878, 0.012004779874171449, 0.012004592414675811, 0.01200440391007262, 0.012004214543574964, 0.012004024514161387, 0.012003834038194831, 0.012003643351236912, 0.012003452710084937, 0.012003262395062858, 0.012003072712602795, 0.012002883998159568, 0.012002696619507699, 0.012002510980478678, 0.012002327525206353, 0.012002146742959989, 0.012001969173658842, 0.01200179541417897, 0.012001626125583715, 0.012001462041433857, 0.012001303977363332, 0.012001152842143308, 0.012001009650501507, 0.012000875538018511, 0.012000751778489938, 0.012000639804226382, 0.01200054122986598, 0.012000457880402875, 0.012000391824295983, 0.012000345412724314, 0.012000321326311767, 0.012000322630969874, 0.012000352844923295, 0.012000416019519674, 0.012000516837118723, 0.012000660730260911, 0.012000854027502311, 0.012001104132871775, 0.012001419747996282, 0.012001811148746617, 0.012002290532056882, 0.012002872453766762, 0.012003574385506689, 0.012004417428646831, 0.012005427237432639, 0.012006635223551628, 0.012008080143453706, 0.012009810212346129, 0.012011885952115397, 0.012014384076095584, 0.012017402860634739, 0.012021069683682155, 0.012025551778746198, 0.012031071854527627, 0.012037931239641433, 0.012046544950784555, 0.012057496172771629, 0.012071623321994738, 0.012090163730385992, 0.012114999695889367, 0.012149098260544264, 0.012197337659661344, 0.012268155415059391, 0.012377077112970767, 0.012554949758529381, 0.012869250335064851, 0.013486251941827955, 0.023455534131176955, 0.014195883497241536, 0.012681597666674928, 0.012347781445647155, 0.012224395496682965, 0.012166843047177148, 0.012137288182751919, 0.012122492911425038, 0.012117071498961771, 0.01211878968634488, 0.012126973818910229, 0.012141936174510669, 0.012164810588394023, 0.012197600661554144, 0.012243372638628774, 0.012306558196002192, 0.012393297542280442, 0.012511611524160958, 0.012670853340157098, 0.012879295361768059, 0.013138195810317428, 0.013431856039737056, 0.0137187977432476, 0.01393737462324131, 0.014034388911789666, 0.013997698696271235, 0.013859726775373228, 0.013671045978785556, 0.013473716641208675, 0.013291915709492013, 0.013135134275532829, 0.013004431725748273, 0.012897167384145959, 0.012809613830000901, 0.012738131352970047, 0.012679584033889434, 0.012631414767667026, 0.012591589929619552, 0.012558507906832319, 0.012530908946439602, 0.012507798549221042, 0.012488386373238586, 0.012472038960443086, 0.012458243680802157, 0.01244658139559301, 0.012436705759536142, 0.012428327532396361, 0.012421202660903191, 0.012415123201385077, 0.01240991038897721, 0.012405409334603852, 0.012401484960188384, 0.01239801887752595, 0.012394906986187483, 0.012392057617645511, 0.012389390091612777, 0.012386833580057642, 0.012384326197143773, 0.012381814251300055, 0.012379251610056536, 0.01237659914006623, 0.012373824194462838, 0.012370900127766484, 0.012367805825195064, 0.012364525238638511, 0.01236104692582622, 0.012357363592471735, 0.012353471639510311, 0.012349370719063175, 0.012345063303579932, 0.012340554272849595, 0.012335850523355056, 0.01233096060389539, 0.012325894380628784, 0.012320662733795371, 0.012315277287448781, 0.012309750172623287, 0.012304093823541504, 0.01229832080575609, 0.012292443674537575, 0.012286474861374861, 0.012280426586141169, 0.012274310792286287, 0.012268139102331122, 0.012261922790944844, 0.012255672772961957, 0.012249399603826615, 0.012243113490121606, 0.012236824308032379, 0.012230541627803373, 0.01222427474245333, 0.012218032699221396, 0.012211824332412373, 0.012205658296491778, 0.012199543098449693, 0.012193487128603808, 0.012187498689147706, 0.012181586019871037, 0.012175757320584188, 0.012170020769873831, 0.012164384539898569, 0.012158856807007677, 0.012153445758032389, 0.01214815959216004, 0.012143006518358607, 0.012137994748372308, 0.012133132485362188, 0.01212842790831623, 0.012123889152404772, 0.012119524285507468, 0.012115341281189134, 0.012111347988451142, 0.01210755209863432, 0.012103961109896495, 0.012100582289731668, 0.012097422636038109, 0.012094488837277567, 0.012091787232295681, 0.012089323770394976, 0.012087103972262165, 0.012085132892353682, 0.012083415083333469, 0.012081954563136061, 0.012080754785196039, 0.012079818612339834, 0.012079148294782153, 0.012078745452603394, 0.012078611063010471, 0.012078700659856967, 0.012078969277932046, 0.012079416400483579, 0.012080041168385203, 0.012080842383295111, 0.012081818512014349, 0.012082967691981941, 0.012084287737826903, 0.012085776148881891, 0.012087430117548335, 0.012089246538389496, 0.01209122201781569, 0.012093352884215671, 0.012095635198378618, 0.012098064764044372, 0.012100637138412978, 0.012103347642441538, 0.012106191370753035, 0.01210916320098181, 0.012112257802381329, 0.012115469643522385, 0.012118792998915259, 0.012122221954394965, 0.012125750411118009, 0.012129372088029217, 0.012133080522669829, 0.01213686907021373, 0.012140730900636634, 0.012144658993944011, 0.012148646133408861, 0.012152684896798849, 0.012156767645606257, 0.012160886512333331, 0.012165033385929976, 0.01216919989553315, 0.012173377392716418, 0.012177556932525249, 0.012181729253650277, 0.012185884758175933, 0.012190013491436599, 0.012194105122616296, 0.012198148926840282, 0.012202133769625962, 0.012206048094684709, 0.012209879916191794, 0.012213616816764632, 0.012217245952503539, 0.012220754066548418, 0.01222412751267851, 0.012227352290522154, 0.012230414093936678, 0.012233298374052445, 0.01223599041833718, 0.01223847544681316, 0.012240738726239325, 0.012242765702644039, 0.0122445421520563, 0.01224605434863528, 0.012247289248647519, 0.012248234687906433, 0.01224887958939613, 0.012249214176890568, 0.012249230189498118, 0.012248921091268029, 0.012248282269353785, 0.012247311213803149, 0.012246007671899281, 0.012244373770162142, 0.012242414097670738, 0.012240135745297327, 0.01223754829674004, 0.012234663768855118, 0.012231496500652259, 0.012228062992324651, 0.012224381697721765, 0.012220472775609391, 0.012216357806771726, 0.012212059485381677, 0.012207601294010289, 0.012203007172107705, 0.012198301187749064, 0.012193507221917525, 0.012188648673649227, 0.012183748193073196, 0.012178827447844888, 0.012173906926806356, 0.012169005783016844, 0.012164141716684803, 0.012159330897076149, 0.012154587921234821, 0.0121499258063679, 0.012145356012032118, 0.012140888487809046, 0.012136531741950821, 0.012132292926486276, 0.012128177934460263, 0.012124191505296712, 0.012120337334686497, 0.012116618185870334, 0.012113035999679519, 0.012109592001189329, 0.012106286801309813, 0.012103120492072067, 0.012100092734756157, 0.012097202840343548, 0.012094449842062115, 0.012091832560025785, 0.012089349658157065, 0.012086999693724149, 0.012084781159929149, 0.012082692522056458, 0.012080732247734899, 0.01207889883188969, 0.012077190816964695, 0.01207560680898538, 0.012074145490013047, 0.012072805627512324, 0.012071586081121018, 0.01207048580727435, 0.01206950386209675, 0.012068639402934836, 0.012067891688865448, 0.012067260080473236, 0.012066744039154311, 0.012066343126164981, 0.012066057001598357, 0.01206588542343719, 0.01206582824679652], [0.013677076422543335, 0.013677214969701756, 0.013677630481100057, 0.013678322568577959, 0.013679290592094875, 0.01368053367003857, 0.013682050693596026, 0.013683840345129355, 0.013685901120486798, 0.01368823135517078, 0.01369082925428142, 0.013693692926153472, 0.013696820419611627, 0.013700209764781613, 0.013703859017414022, 0.013707766306704738, 0.013711929886632548, 0.0137163481908798, 0.013721019891457843, 0.013725943961228395, 0.013731119740592969, 0.013736547008721765, 0.013742226059808278, 0.01374815778497547, 0.013754343760622253, 0.013760786344194113, 0.013767488778595301, 0.013774455306738322, 0.013781691298063958, 0.013789203389273358, 0.013796999642011282, 0.013805089720852398, 0.013813485095696841, 0.013822199273621277, 0.013831248066407138, 0.013840649901448591, 0.013850426185619734, 0.013860601734077427, 0.013871205279056451, 0.013882270077699843, 0.013893834643166654, 0.013905943630089511, 0.013918648914501685, 0.013932010920439022, 0.013946100261711428, 0.01396099978950544, 0.013976807166954255, 0.013993638134168828, 0.014011630686795572, 0.01403095047601864, 0.014051797860460851, 0.014074417220049696, 0.014099109409496794, 0.014126248634795485, 0.014156305663472172, 0.014189880270117135, 0.014227747420791548, 0.014270924358860083, 0.014320770298096521, 0.014379138449524966, 0.01444861480007721, 0.014532906128593995, 0.014637496027757496, 0.014770807118930297, 0.014946378504752215, 0.015187233164141195, 0.015535415373682991, 0.016075224090638194, 0.016998729008285043, 0.018833177466105983, 0.02353173846913376, 0.043931899423640362, 0.24677345274884172, 0.037342033521065882, 0.018748055807043796, 0.015423517801432161, 0.014381771156863538, 0.013959669816941113, 0.013762784951529163, 0.013663088767729505, 0.013610251922335318, 0.013581766080272555, 0.013566596160263726, 0.013558953830903671, 0.013555646476381647, 0.01355484693328237, 0.013555482000750116, 0.013556911037214524, 0.013558749050435675, 0.0135607655156518, 0.013562824640372749, 0.013564849175964764, 0.013566798045536996, 0.013568652307127048, 0.013570406265413934, 0.013572061825777568, 0.013573624921311967, 0.013575103279290218, 0.013576505058179792, 0.013577838050774744, 0.013579109253451923, 0.013580324669143235, 0.013581489256053313, 0.01358260696374314, 0.013583680818087888, 0.01358471303005614, 0.013585705112355791, 0.013586657994134714, 0.013587572128043655, 0.013588447586697142, 0.013589284147339405, 0.013590081364638932, 0.013590838632205891, 0.013591555233797912, 0.013592230385353557, 0.013592863269038732, 0.01359345306045967, 0.013593998950117229, 0.013594500160076038, 0.013594955956710501, 0.013595365660278282, 0.013595728651965471, 0.013596044378949753, 0.013596312357938551, 0.013596532177560454, 0.013596703499917869, 0.013596826061547168, 0.013596899673977984, 0.013596924224034562, 0.013596919947043642, 0.013596907110032485, 0.013596885694865647, 0.013596855671249639, 0.013596816996631152, 0.013596769616053815, 0.013596713461973173, 0.01359664845402896, 0.013596574498773745, 0.013596491489357043, 0.013596399305163463, 0.013596297811403563, 0.013596186858655908, 0.01359606628235846, 0.013595935902247724, 0.013595795521743403, 0.013595644927276645, 0.013595483887559694, 0.013595312152794749, 0.013595129453819766, 0.013594935501189034, 0.013594729984186676, 0.013594512569770916, 0.013594282901447954, 0.013594040598074265, 0.013593785252587139, 0.013593516430664023, 0.013593233669312628, 0.013592936475395502, 0.013592624324094636, 0.013592296657325018, 0.013591952882109284, 0.013591592368930729, 0.01359121445008786, 0.013590818418081659, 0.013590403524076805, 0.013589968976491066, 0.013589513939783547, 0.013589037533534047, 0.013588538831933001, 0.013588016863836785, 0.013587470613588646, 0.013586899022864524, 0.013586300993879041, 0.013585675394386498, 0.013585021065041177, 0.013584336829851011, 0.013583621510682476, 0.013582873947069826, 0.013582093022974839, 0.013581277702667904, 0.013580427078606306, 0.013579540435139287, 0.01357861733316717, 0.013577657722661646, 0.013576662092412858, 0.013575631669794773, 0.01357456868815491, 0.013573476746268087, 0.013572361294090894, 0.013571230293258246, 0.013570095121605672, 0.013568971821981376, 0.013567882842315812, 0.013566859485404918, 0.013565945398130375, 0.013565201606204225, 0.013564713885719875, 0.013564603734258713, 0.013565045002967183, 0.013566289641238996, 0.013568708500328078, 0.013572857775036556, 0.013579590607837028, 0.013590251439915327, 0.013607029090373856, 0.013633631276056095, 0.013676653833395787, 0.013748575665273551, 0.013874956906580419, 0.014113998852485481, 0.014619363968151746, 0.015897236243387364, 0.020350796870369073, 0.049283605479939104, 0.06580424674428749, 0.025277411579320598, 0.018515388511667313, 0.016409164619865583, 0.015481562645587622, 0.014986160723407867, 0.014687482845316046, 0.01449187302969848, 0.014355871882160929, 0.014256964657411959, 0.014182481450397447, 0.014124817802488764, 0.014079167579175295, 0.014042361848119243, 0.014012235965741767, 0.01398726628226093, 0.013966352317106202, 0.01394868119548728, 0.013933640515899794, 0.013920760746964243, 0.013909676190278985, 0.013900097937844684, 0.013891794768787836, 0.013884579417050347, 0.013878298545110017, 0.013872825321503897, 0.013868053858389002, 0.013863894998424903, 0.013860273094601191, 0.013857123530568487, 0.013854390800097722, 0.01385202701355669, 0.013849990733875227, 0.01384824606902982, 0.013846761965716884, 0.013845511661697013, 0.013844472263723, 0.013843624425015123, 0.013842952101629702, 0.013842442371285367, 0.013842085301630853, 0.013841873857817558, 0.01384180384176604, 0.013841873857817552, 0.013842085301630849, 0.013842442371285372, 0.0138429521016297, 0.013843624425015119, 0.013844472263722988, 0.013845511661697011, 0.013846761965716889, 0.013848246069029827, 0.013849990733875233, 0.013852027013556692, 0.013854390800097711, 0.01385712353056848, 0.013860273094601193, 0.013863894998424905, 0.013868053858389, 0.013872825321503886, 0.013878298545109994, 0.013884579417050357, 0.013891794768787848, 0.013900097937844674, 0.013909676190278988, 0.013920760746964246, 0.013933640515899799, 0.013948681195487291, 0.013966352317106209, 0.013987266282260932, 0.014012235965741752, 0.014042361848119229, 0.0140791675791753, 0.014124817802488804, 0.014182481450397459, 0.014256964657411986, 0.014355871882161007, 0.01449187302969859, 0.014687482845315901, 0.01498616072340762, 0.015481562645588049, 0.016409164619865801, 0.018515388511665169, 0.025277411579313715, 0.065804246744262468, 0.049283605479901654, 0.020350796870366658, 0.015897236243387767, 0.014619363968151881, 0.014113998852485557, 0.013874956906580334, 0.013748575665273686, 0.013676653833395827, 0.013633631276056098, 0.013607029090373897, 0.013590251439915336, 0.013579590607837038, 0.013572857775036563, 0.013568708500328078, 0.013566289641239003, 0.013565045002967182, 0.013564603734258704, 0.013564713885719868, 0.013565201606204218, 0.013565945398130379, 0.01356685948540492, 0.013567882842315818, 0.013568971821981383, 0.013570095121605678, 0.013571230293258251, 0.01357236129409089, 0.013573476746268083, 0.013574568688154915, 0.013575631669794771, 0.013576662092412851, 0.013577657722661639, 0.013578617333167177, 0.013579540435139294, 0.01358042707860631, 0.013581277702667902, 0.013582093022974839, 0.013582873947069821, 0.013583621510682478, 0.013584336829851018, 0.013585021065041173, 0.013585675394386494, 0.013586300993879035, 0.013586899022864527, 0.013587470613588649, 0.013588016863836783, 0.013588538831932997, 0.013589037533534038, 0.013589513939783545, 0.013589968976491068, 0.013590403524076807, 0.013590818418081654, 0.013591214450087864, 0.013591592368930731, 0.013591952882109289, 0.013592296657325014, 0.013592624324094634, 0.01359293647539549, 0.013593233669312628, 0.013593516430664027, 0.013593785252587148, 0.013594040598074262, 0.01359428290144795, 0.013594512569770912, 0.013594729984186671, 0.013594935501189042, 0.013595129453819764, 0.013595312152794751, 0.013595483887559703, 0.013595644927276648, 0.013595795521743401, 0.013595935902247733, 0.013596066282358469, 0.013596186858655905, 0.01359629781140357, 0.013596399305163464, 0.013596491489357045, 0.013596574498773745, 0.013596648454028958, 0.013596713461973173, 0.013596769616053815, 0.013596816996631149, 0.013596855671249641, 0.013596885694865651, 0.013596907110032492, 0.013596919947043644, 0.013596924224034555, 0.013596922085800708, 0.013596915671220702, 0.013596904980659599, 0.013596890014727218, 0.013596870774280307, 0.013596847260425541, 0.013596819474523358, 0.013596787418192762, 0.013596751093317034, 0.013596710502050337, 0.013596665646825384, 0.013596616530362034, 0.013596563155677055, 0.013596505526094848, 0.013596443645259472, 0.013596377517147786, 0.013596307146083965, 0.013596232536755242, 0.013596153694229262, 0.013596070623972759, 0.013595983331872076, 0.013595891824255241, 0.013595796107915951, 0.013595696190139603, 0.013595592078731372, 0.013595483782046579, 0.013595371309023534, 0.01359525466921906, 0.013595133872846785, 0.013595008930818574, 0.01359487985478928, 0.013594746657205111, 0.01359460935135587, 0.013594467951431485, 0.013594322472583131, 0.013594172930989344, 0.01359401934392767, 0.013593861729852127, 0.013593700108477342, 0.013593534500869659, 0.013593364929546017, 0.013593191418581438, 0.013593013993725677, 0.013592832682530207, 0.013592647514486371, 0.013592458521175918, 0.013592265736435131, 0.0135920691965339, 0.013591868940371392, 0.013591665009689892, 0.013591457449308977, 0.013591246307381963, 0.01359103163567721, 0.013590813489886952, 0.013590591929966785, 0.013590367020509204, 0.013590138831155205, 0.0135899074370482, 0.013589672919335471, 0.013589435365722598, 0.013589194871087458, 0.013588951538161011, 0.013588705478283183, 0.013588456812243454, 0.013588205671216819, 0.01358795219780772, 0.013587696547216041, 0.013587438888541708, 0.013587179406246496, 0.013586918301795122, 0.013586655795500476, 0.013586392128602305, 0.013586127565613204, 0.013585862396971281, 0.013585596942045471, 0.013585331552547363, 0.013585066616412605, 0.013584802562226007, 0.013584539864277873, 0.013584279048354896, 0.013584020698388287, 0.013583765464104764, 0.013583514069854462, 0.013583267324823843, 0.013583026134883436, 0.013582791516371677, 0.013582564612178882, 0.013582346710573534, 0.013582139267309326, 0.013581943931672407, 0.013581762577278471, 0.01358159733861956, 0.013581450654600322, 0.013581325320608201, 0.013581224551052826, 0.013581152054810234, 0.013581112126657607, 0.013581109758627669, 0.013581150776319993, 0.013581242006667953, 0.013581391485604407, 0.013581608716676723, 0.013581904995186515, 0.013582293817239403, 0.013582791399713818, 0.013583417346374478, 0.013584195508318209, 0.013585155105381623, 0.01358633220170603, 0.013587771667435007, 0.013589529815948071, 0.013591677992404015, 0.013594307521467149, 0.013597536627849276, 0.013601520270251329, 0.013606464360274297, 0.013612646721199951, 0.013620448650582007, 0.013630403605816067, 0.013643274360577731, 0.01366017909329917, 0.013682804806066377, 0.013713783508626773, 0.013757387397184847, 0.013820887093539434, 0.013917387270488175, 0.014072237346643368, 0.01433898050555025, 0.018527568623727186, 0.018877721487336435, 0.01471783008766778, 0.014083185052398672, 0.013884416325573532, 0.013798774376763596, 0.013756406773983636, 0.013735273582331677, 0.013726910594226406, 0.013727872882845608, 0.013737038995733041, 0.013754671113324164, 0.013782136189169094, 0.013821950373148406, 0.013878037994820552, 0.013956160518819555, 0.014064434624991027, 0.01421366990909273, 0.014416773456009908, 0.014685558256147655, 0.01502239140776261, 0.015405663113670469, 0.015776696699068508, 0.01604878369872887, 0.01615090734114559, 0.016074168004072492, 0.015870971281342346, 0.015612757260639449, 0.01535377015106926, 0.015122047553495015, 0.014926488256663884, 0.014766079962400917, 0.014636038810484529, 0.014530876840325557, 0.014445627341210864, 0.014376187027486666, 0.014319299989661201, 0.014272426207590741, 0.014233593598679456, 0.014201267902952648, 0.014174248286706031, 0.014151586976966533, 0.014132528566472362, 0.014116464531104557, 0.014102899205342551, 0.014091424289161977, 0.014081699685710412, 0.014073439042350366, 0.014066398799064761, 0.014060369865213787, 0.014055171275922786, 0.014050645346003882, 0.014046653959973019, 0.014043075724506597, 0.01403980377407585, 0.014036744068293491, 0.0140338140555363, 0.01403094160507211, 0.014028064131598142, 0.014025127853430313, 0.014022087139680037, 0.014018903913357531, 0.014015547086930261, 0.014011992014754638, 0.014008219953199844, 0.014004217524341741, 0.013999976182952584, 0.013995491689266183, 0.013990763591788568, 0.013985794725385836, 0.013980590730159453, 0.013975159596361472, 0.013969511239950718, 0.013963657112480498, 0.013957609847956095, 0.013951382948206137, 0.013944990507253662, 0.013938446974209579, 0.013931766953379672, 0.013924965039598303, 0.013918055686284063, 0.013911053103349643, 0.013903971181877764, 0.013896823442380316, 0.013889623003466259, 0.013882382567837682, 0.013875114422687899, 0.01386783045177631, 0.013860542156682171, 0.01385326068498148, 0.013845996863336972, 0.013838761233730243, 0.013831564091294844, 0.013824415522421191, 0.013817325442000173, 0.013810303628848296, 0.013803359758514808, 0.013796503432810905, 0.013789744205524316, 0.013783091603890853, 0.013776555145490536, 0.013770144350321197, 0.013763868747879252, 0.013757737879147476, 0.013751761293455733, 0.013745948540241734, 0.013740309155800125, 0.013734852645166495, 0.013729588459341538, 0.013724525968118517, 0.013719674428835793, 0.01371504295143231, 0.013710640460240609, 0.013706475653005406, 0.013702556957665995, 0.01369889248748647, 0.013695489995157456, 0.013692356826524494, 0.01368949987462246, 0.013686925534706629, 0.013684639660973337, 0.013682647525651369, 0.013680953781121059, 0.013679562425680964, 0.01367847677353044, 0.013677699429474504, 0.013677232268782012, 0.013677076422543335, 0.013677180324406709, 0.013677491830264501, 0.013678010341654391, 0.013678734863576757, 0.013679664008114406, 0.013680795999426816, 0.013682128680046989, 0.013683659518389318, 0.013685385617359184, 0.013687303723938013, 0.013689410239601827, 0.013691701231417828, 0.01369417244365108, 0.013696819309702948, 0.013699636964194666, 0.01370262025500193, 0.013705763755042941, 0.013709061773618121, 0.013712508367099968, 0.013716097348772301, 0.013719822297621136, 0.013723676565885357, 0.01372765328518185, 0.013731745371030505, 0.013735945525615838, 0.013740246238636795, 0.013744639786114267, 0.0137491182270466, 0.01375367339782751, 0.013758296904370412, 0.013762980111915743, 0.013767714132537599, 0.013772489810411209, 0.013777297704954367, 0.013782128072017062, 0.01378697084336197, 0.013791815604756941, 0.013796651573089557, 0.013801467573013112, 0.013806252013743732, 0.013810992866749198, 0.013815677645200947, 0.01382029338619933, 0.013824826636926751, 0.013829263446029662, 0.013833589361673119, 0.013837789437844798, 0.013841848250599685, 0.013845749926022716, 0.013849478181731746, 0.013853016383734299, 0.013856347620373135, 0.013859454794933173, 0.013862320738219597, 0.013864928342040912, 0.013867260714030943, 0.013869301353613675, 0.013871034348156461, 0.013872444587479368, 0.013873517993912732, 0.013874241764053196, 0.013874604617306134, 0.013874597045277007, 0.013874211555153202, 0.013873442899476448, 0.013872288284219858, 0.013870747546926456, 0.013868823296896165, 0.013866521010067898, 0.013863849072345268, 0.013860818766641414, 0.013857444200815415, 0.01385374217585441, 0.013849731996002184, 0.013845435224907752, 0.013840875394117455, 0.01383607767221268, 0.013831068504473253, 0.013825875234022199, 0.013820525715917267, 0.013815047935580367, 0.013809469642321701, 0.013803818007588224, 0.01379811931604296, 0.013792398695783, 0.013786679892058618, 0.013780985086890622, 0.013775334765112248, 0.013769747625677965, 0.013764240535654875, 0.013758828523183306, 0.013753524804877871, 0.013748340842632691, 0.013743286424570008, 0.013738369764892499, 0.013733597617621877, 0.013728975399582462, 0.013724507318470353, 0.013720196502396226, 0.013716045127863129, 0.013712054543711364, 0.013708225389106923, 0.013704557704151096, 0.013701051032136837, 0.013697704512865864, 0.013694516966768914, 0.013691486969840856, 0.01368861291961628, 0.013685893092575743, 0.013683325693493091, 0.013680908897316846, 0.013678640884229711, 0.013676519868555059, 0.013674544122184223, 0.013672711993185947, 0.013671021920236167, 0.013669472443473111, 0.01366806221234413, 0.013666789990967699, 0.013665654661489337, 0.013664655225863621, 0.013663790806449111, 0.013663060645756972, 0.013662464105650212, 0.013662000666247088, 0.013661669924740253, 0.013661471594303289, 0.013661405503216144], [0.0154842798254718, 0.015484439696489495, 0.015484919160849384, 0.015485717774852189, 0.015486834806923514, 0.015488269249465472, 0.015490019835380051, 0.015492085059200238, 0.015494463202750277, 0.01549715236524817, 0.015500150497759163, 0.015503455441909772, 0.015507064972779545, 0.015510976845903524, 0.015515188848340557, 0.015519698853794978, 0.0155245048818216, 0.015529605161197283, 0.015534998197607536, 0.015540682845877654, 0.015546658387072969, 0.015552924610908476, 0.01555948190404322, 0.015566331344997998, 0.015573474806626507, 0.015580915067299335, 0.015588655932234977, 0.015596702366740194, 0.015605060643520198, 0.015613738506701726, 0.01562274535580061, 0.015632092453591807, 0.015641793162734573, 0.015651863217122881, 0.01566232103532918, 0.015673188085275239, 0.015684489311503402, 0.015696253639287547, 0.015708514573511915, 0.015721310915028167, 0.015734687623451246, 0.015748696863581841, 0.015763399283565144, 0.01577886558752024, 0.015795178485136334, 0.015812435127699122, 0.015830750177195735, 0.015850259707000221, 0.015871126205828173, 0.015893545061299016, 0.015917753051213339, 0.015944039594151544, 0.015972761845673762, 0.016004365236771022, 0.016039411845246543, 0.016078620253540687, 0.016122922604421462, 0.016173548011452987, 0.016232147426825352, 0.01630098568407521, 0.016383246129181721, 0.016483531447048262, 0.016608722227958898, 0.016769523640547644, 0.016983423152873621, 0.017280777012702909, 0.017718547116125527, 0.018415265722786619, 0.019655878611616551, 0.02229097922709624, 0.029980182264673225, 0.076227190095955896, 0.14083342652461348, 0.028175072937363085, 0.018782800379840106, 0.016638565319043418, 0.015902317552860128, 0.015593938027393386, 0.015450212840637403, 0.015379597749306658, 0.015344581958926443, 0.015327967467547726, 0.01532121021919872, 0.015319811205650853, 0.015321301129708566, 0.015324286923532963, 0.01532797122859993, 0.015331897413468781, 0.015335808394630047, 0.015339565684274407, 0.015343101638176706, 0.015346390660550064, 0.015349431566656802, 0.015352236684634797, 0.015354825115631333, 0.015357218602766681, 0.015359439055694148, 0.015361507131784462, 0.015363441490903887, 0.015365258475530851, 0.015366972053882075, 0.015368593919519669, 0.01537013367769304, 0.015371599073183825, 0.015372996230869192, 0.01537432989127282, 0.015375603630779186, 0.015376820061099987, 0.015377981005788572, 0.015379087653632724, 0.015380140689992123, 0.015381140407841469, 0.015382086800615608, 0.015382979639053884, 0.015383818534195093, 0.015384602988541465, 0.015385332437230946, 0.015386006280857524, 0.015386623911377795, 0.015387184732348123, 0.015387688174556907, 0.015388133707953338, 0.015388520850629127, 0.01538884917548114, 0.015389118315071317, 0.015389327965102577, 0.015389477886844119, 0.01538956790876515, 0.015389597927569616, 0.015389592763804263, 0.015389577264947905, 0.015389551408292523, 0.01538951515590076, 0.015389468454469587, 0.015389411235138335, 0.015389343413240306, 0.015389264887996631, 0.015389175542150751, 0.015389075241541903, 0.015388963834615191, 0.015388841151865963, 0.015388707005215675, 0.015388561187315904, 0.015388403470777461, 0.015388233607320296, 0.015388051326840294, 0.015387856336388275, 0.015387648319056287, 0.015387426932765791, 0.015387191808952011, 0.015386942551138528, 0.015386678733395411, 0.015386399898674439, 0.015386105557014243, 0.015385795183608348, 0.015385468216728801, 0.015385124055498408, 0.015384762057504811, 0.015384381536250149, 0.015383981758431241, 0.015383561941046621, 0.015383121248328819, 0.015382658788503549, 0.015382173610381411, 0.015381664699793482, 0.015381130975889876, 0.015380571287330336, 0.015379984408409477, 0.015379369035177436, 0.01537872378163984, 0.015378047176152453, 0.015377337658166882, 0.015376593575537742, 0.015375813182673377, 0.015374994639906801, 0.015374136014589104, 0.015373235284574604, 0.015372290344989849, 0.015371299019477203, 0.015370259077505782, 0.015369168259885498, 0.015368024315359219, 0.015366825052157619, 0.015365568409792274, 0.015364252558288573, 0.01536287603475099, 0.015361437930940537, 0.015359938150924056, 0.015358377765569834, 0.015356759501841989, 0.015355088421226296, 0.015353372865916308, 0.015351625787908324, 0.015349866631841725, 0.015348124028685451, 0.015346439693318384, 0.015344874137376565, 0.015343515166730394, 0.015342490733604943, 0.015341988747236347, 0.015342288278060581, 0.015343809939220679, 0.015347199580018766, 0.01535347197951468, 0.015364267255817932, 0.015382329753928396, 0.015412452693515022, 0.015463469958871672, 0.015552819226788523, 0.015718168388575749, 0.016051533817843317, 0.016821290783722055, 0.019060070832678345, 0.029205440439996101, 0.09796799732043257, 0.039568797422991922, 0.023143502044686994, 0.019315539792140748, 0.017858724060956638, 0.017142703305453699, 0.01673312027287235, 0.016474296812180156, 0.016298889113198132, 0.01617372257788274, 0.016080821152770774, 0.016009707508173852, 0.015953912666192067, 0.015909251500724683, 0.015872909741090589, 0.015842932383647881, 0.015817923093920664, 0.015796860317996854, 0.015778980823072719, 0.015763703686926273, 0.015750579360371043, 0.015739254727144235, 0.015729448636142052, 0.015720934448647323, 0.015713527383231833, 0.015707075204475715, 0.015701451282936724, 0.015696549363771392, 0.015692279584947576, 0.015688565422005165, 0.015685341328680213, 0.01568255090633415, 0.015680145479545483, 0.015678082986607129, 0.015676327116112825, 0.015674846637050217, 0.015673614881718433, 0.015672609349647003, 0.015671811407422874, 0.015671206064572649, 0.015670781809863969, 0.015670530495907865, 0.015670447263001035, 0.015670530495907858, 0.015670781809863969, 0.015671206064572653, 0.015671811407422871, 0.015672609349646996, 0.015673614881718412, 0.015674846637050224, 0.015676327116112825, 0.015678082986607136, 0.015680145479545497, 0.01568255090633415, 0.0156853413286802, 0.015688565422005158, 0.015692279584947576, 0.015696549363771399, 0.015701451282936721, 0.015707075204475701, 0.015713527383231805, 0.015720934448647337, 0.01572944863614207, 0.015739254727144214, 0.015750579360371043, 0.015763703686926277, 0.015778980823072723, 0.015796860317996861, 0.015817923093920674, 0.015842932383647888, 0.015872909741090568, 0.015909251500724666, 0.015953912666192078, 0.016009707508173904, 0.016080821152770791, 0.016173722577882774, 0.016298889113198226, 0.016474296812180288, 0.01673312027287216, 0.017142703305453345, 0.017858724060957266, 0.019315539792141141, 0.023143502044682709, 0.039568797422971508, 0.09796799732045243, 0.029205440439984576, 0.019060070832677429, 0.016821290783722312, 0.016051533817843411, 0.015718168388575801, 0.015552819226788459, 0.015463469958871771, 0.015412452693515044, 0.015382329753928402, 0.015364267255817955, 0.015353471979514682, 0.015347199580018771, 0.01534380993922068, 0.015342288278060581, 0.01534198874723635, 0.015342490733604941, 0.01534351516673038, 0.015344874137376559, 0.015346439693318375, 0.015348124028685455, 0.015349866631841723, 0.015351625787908333, 0.015353372865916313, 0.0153550884212263, 0.015356759501841987, 0.015358377765569833, 0.015359938150924051, 0.015361437930940542, 0.015362876034750993, 0.015364252558288563, 0.015365568409792269, 0.015366825052157624, 0.015368024315359226, 0.015369168259885499, 0.015370259077505777, 0.015371299019477206, 0.015372290344989843, 0.015373235284574608, 0.015374136014589109, 0.015374994639906799, 0.015375813182673375, 0.01537659357553774, 0.015377337658166885, 0.015378047176152458, 0.015378723781639842, 0.015379369035177434, 0.015379984408409474, 0.015380571287330339, 0.015381130975889876, 0.015381664699793482, 0.015382173610381406, 0.015382658788503553, 0.015383121248328819, 0.015383561941046623, 0.015383981758431236, 0.015384381536250142, 0.015384762057504798, 0.015385124055498406, 0.015385468216728804, 0.015385795183608353, 0.015386105557014243, 0.015386399898674434, 0.015386678733395403, 0.015386942551138524, 0.015387191808952014, 0.015387426932765787, 0.015387648319056289, 0.015387856336388282, 0.015388051326840298, 0.015388233607320299, 0.015388403470777468, 0.015388561187315908, 0.015388707005215673, 0.015388841151865968, 0.015388963834615188, 0.015389075241541898, 0.015389175542150755, 0.015389264887996627, 0.015389343413240308, 0.015389411235138331, 0.015389468454469582, 0.015389515155900759, 0.015389551408292526, 0.015389577264947909, 0.015389592763804265, 0.015389597927569606, 0.015389595346006904, 0.015389587601380088, 0.015389574693873415, 0.015389556623794983, 0.015389533391578296, 0.01538950499778452, 0.015389471443105211, 0.015389432728365886, 0.015389388854530166, 0.015389339822704622, 0.015389285634144439, 0.015389226290259614, 0.015389161792622246, 0.015389092142974299, 0.015389017343236534, 0.015388937395518111, 0.015388852302127307, 0.01538876206558315, 0.015388666688628197, 0.015388566174242328, 0.015388460525657986, 0.015388349746376493, 0.015388233840185863, 0.015388112811180148, 0.015387986663780325, 0.01538785540275694, 0.015387719033254598, 0.015387577560818568, 0.01538743099142339, 0.015387279331503955, 0.015387122587989167, 0.01538696076833823, 0.015386793880580112, 0.01538662193335608, 0.015386444935966016, 0.015386262898418376, 0.015386075831484559, 0.015385883746757728, 0.015385686656716789, 0.015385484574795839, 0.015385277515459563, 0.015385065494285439, 0.015384848528052974, 0.015384626634841109, 0.015384399834134213, 0.015384168146937913, 0.015383931595905408, 0.015383690205475649, 0.015383444002024339, 0.015383193014029423, 0.015382937272252357, 0.01538267680993698, 0.015382411663027951, 0.015382141870410829, 0.015381867474176351, 0.01538158851991149, 0.015381305057020688, 0.0153810171390803, 0.015380724824230755, 0.015380428175610545, 0.015380127261837257, 0.015379822157541492, 0.015379512943960175, 0.015379199709596874, 0.015378882550957696, 0.015378561573372555, 0.015378236891913118, 0.015377908632420507, 0.015377576932657389, 0.015377241943602026, 0.015376903830903798, 0.015376562776523444, 0.015376218980584631, 0.015375872663467915, 0.015375524068183193, 0.015375173463063094, 0.015374821144826613, 0.015374467442071191, 0.015374112719261694, 0.015373757381296793, 0.015373401878748626, 0.015373046713888651, 0.015372692447634949, 0.015372339707581947, 0.015371989197305355, 0.015371641707174324, 0.015371298126950086, 0.015370959460509504, 0.015370626843103825, 0.015370301561653836, 0.015369985078693651, 0.015369679060716833, 0.015369385411854487, 0.01536910631403837, 0.015368844275086207, 0.015368602186507997, 0.015368383393299205, 0.015368191778587444, 0.015368031866783372, 0.015367908949911857, 0.015367829243151368, 0.015367800077406096, 0.01536783013913931, 0.015367929770941948, 0.01536811135072865, 0.015368389773525283, 0.015368783068238915, 0.015369313193619064, 0.015370007074381822, 0.015370897962531464, 0.01537202724390643, 0.01537344686157446, 0.015375222604938708, 0.015377438630922651, 0.015380203765561479, 0.015383660421562157, 0.015387997430460851, 0.015393468851993424, 0.015400422116321141, 0.015409341105927071, 0.015420913828821606, 0.015436141863670686, 0.015456523341735645, 0.015484370789970316, 0.015523388254920707, 0.01557977508078482, 0.015664470756218161, 0.015798067932231194, 0.017266171908587397, 0.026859405590741622, 0.017542286456494562, 0.01613760568233287, 0.015792083267194931, 0.015658733691159086, 0.015596180927087613, 0.015565466497119134, 0.015552709139864286, 0.015552433463412103, 0.01556276585918475, 0.015583837576182469, 0.01561730173500293, 0.015666359985372046, 0.015736116331980847, 0.01583419956695779, 0.015971565411390543, 0.016163136998587794, 0.016427235085158025, 0.016781306845275748, 0.01722981093097958, 0.017742118752068985, 0.018232172774462842, 0.018573686677078198, 0.01867004491733407, 0.018522216084582099, 0.018216767364640497, 0.017856445514116026, 0.017511154746377995, 0.017212119175079171, 0.016965782814077401, 0.016767359023917239, 0.016608689174562142, 0.016481706266995039, 0.01637958715196057, 0.016296918780977367, 0.016229522135244753, 0.016174201035867121, 0.016128510764326448, 0.016090571301809308, 0.016058924698705346, 0.016032428795007551, 0.016010178798107916, 0.01599144953080037, 0.015975652807117116, 0.015962305835640466, 0.015951007673284886, 0.01594142158325465, 0.01593326175009081, 0.015926283232057144, 0.015920274334718407, 0.015915050805446005, 0.015910451402737443, 0.015906334505084316, 0.015902575504628223, 0.015899064790077647, 0.015895706167660815, 0.015892415602669342, 0.015889120190453333, 0.015885757286648223, 0.015882273743351452, 0.015878625211856973, 0.015874775484002658, 0.015870695853582573, 0.015866364486885668, 0.015861765797428318, 0.015856889824509616, 0.015851731618478648, 0.015846290637718637, 0.015840570163486983, 0.015834576739074763, 0.015828319639441573, 0.015821810376709676, 0.01581506224582618, 0.015808089913461432, 0.015800909051924904, 0.015793536018637328, 0.015785987580569694, 0.015778280682087992, 0.015770432253853002, 0.01576245905982317, 0.015754377578990397, 0.015746203918226918, 0.01573795375251693, 0.015729642288862835, 0.015721284250270567, 0.015712893876403858, 0.015704484937735658, 0.015696070760293293, 0.015687664258379121, 0.015679277972936397, 0.015670924113510377, 0.015662614602022694, 0.015654361116824861, 0.015646175135724642, 0.015638067976883892, 0.015630050836669313, 0.015622134823699708, 0.015614330988475953, 0.015606650348104937, 0.015599103905739955, 0.015591702664458265, 0.015584457635384753, 0.015577379839951734, 0.015570480306260402, 0.015563770059579832, 0.015557260107089259, 0.015550961417036258, 0.015544884892550143, 0.015539041340416225, 0.015533441435183034, 0.01552809567903881, 0.015523014357957748, 0.015518207494677333, 0.015513684799125063, 0.015509455616964674, 0.015505528876976728, 0.015501913038024236, 0.015498616036380763, 0.015495645234211212, 0.015493007369997624, 0.015490708511688378, 0.015488754013321364, 0.015487148475829184, 0.015485895712675021, 0.015484998720897463, 0.015484459658055906, 0.0154842798254718, 0.015484399718874903, 0.015484759169115779, 0.015485357487127281, 0.015486193527244944, 0.015487265691336372, 0.015488571934498433, 0.015490109772240211, 0.015491876289046972, 0.015493868148200179, 0.015496081602709174, 0.015498512507192327, 0.01550115633052947, 0.015504008169093853, 0.015507062760359182, 0.015510314496668098, 0.015513757438939915, 0.015517385330090956, 0.015521191607936342, 0.015525169417341991, 0.015529311621396442, 0.015533610811375456, 0.015538059315279053, 0.015542649204727893, 0.015547372300018311, 0.015552220173147982, 0.015557184148641632, 0.015562255302026234, 0.015567424455829438, 0.015572682173002655, 0.015578018747704153, 0.015583424193415525, 0.015588888228410468, 0.015594400258647414, 0.015599949358217183, 0.015605524247547815, 0.015611113269648045, 0.015616704364762084, 0.015622285043911588, 0.015627842361916177, 0.01563336289061211, 0.015638832693129288, 0.015644237300238908, 0.015649561689945603, 0.015654790271665719, 0.015659906876503957, 0.01566489475530651, 0.015669736586323629, 0.015674414494447501, 0.015678910084091103, 0.015683204487825338, 0.015687278432880886, 0.015691112327528383, 0.015694686369159858, 0.015697980675586511, 0.015700975440627492, 0.015703651114479463, 0.015705988608620054, 0.015707969524111527, 0.015709576401145869, 0.015710792986533502, 0.015711604514622803, 0.015711997995900121, 0.015711962506328076, 0.015711489469411456, 0.015710572922124758, 0.015709209755280139, 0.015707399918746333, 0.015705146582214672, 0.015702456242996099, 0.015699338773637418, 0.015695807403942892, 0.015691878634213702, 0.015687572079071194, 0.015682910243968218, 0.015677918239254449, 0.01567262343927088, 0.015667055096233513, 0.015661243920477113, 0.015655221639849535, 0.015649020551604768, 0.015642673080019775, 0.015636211352187609, 0.015629666803097846, 0.015623069819320257, 0.015616449428500241, 0.015609833039605579, 0.015603246236580272, 0.015596712625895537, 0.015590253736545483, 0.015583888969396231, 0.015577635591506843, 0.01557150877011503, 0.015565521640412883, 0.015559685400995867, 0.015554009430909482, 0.015548501422489024, 0.015543167524634329, 0.015538012491727152, 0.015533039834037709, 0.015528251966133274, 0.015523650350463176, 0.015519235633923793, 0.01551500777578493, 0.015510966165875134, 0.015507109732369519, 0.015503437038900662, 0.015499946371021457, 0.015496635812293248, 0.015493503310460531, 0.015490546734309652, 0.015487763921903146, 0.015485152720937867, 0.015482711022003276, 0.015480436785519915, 0.015478328063123607, 0.015476383014233038, 0.015474599918499539, 0.015472977184793102, 0.015471513357328728, 0.015470207119485182, 0.015469057295814699, 0.015468062852689538, 0.01546722289797804, 0.015466536680092482, 0.015466003586700762, 0.015465623143345588, 0.015465395012169043, 0.015465318990893774], [0.017482035066798934, 0.017482219056417, 0.017482770856123441, 0.017483689961208786, 0.017484975539591992, 0.017486626445433428, 0.017488641238116016, 0.017491018206522883, 0.017493755398524203, 0.017496850655576331, 0.017500301652332566, 0.017504105941165988, 0.017508261001514688, 0.017512764293978089, 0.017517613319120003, 0.017522805680971532, 0.017528339155277274, 0.017534211762590405, 0.017540421846399132, 0.017546968156561354, 0.017553849938436394, 0.017561067028238061, 0.017568619955292054, 0.017576510052072464, 0.017584739573117653, 0.017593311824195774, 0.017602231303414522, 0.017611503856357229, 0.017621136847798632, 0.017631139353125092, 0.017641522373282537, 0.017652299077938211, 0.017663485082606865, 0.017675098766823497, 0.017687161642113015, 0.017699698780617626, 0.017712739317923613, 0.017726317047066294, 0.017740471125122909, 0.017755246919559545, 0.017770697029035113, 0.017786882523309219, 0.01780387446013024, 0.017821755754739658, 0.017840623501689721, 0.017860591881600298, 0.017881795831028904, 0.017904395717357947, 0.017928583350886103, 0.017954589795928025, 0.017982695631534516, 0.018013244591839811, 0.018046661936649836, 0.018083479548088175, 0.018124370759486391, 0.018170199541320601, 0.018222091328196036, 0.018281537263954786, 0.018350551476006092, 0.018431915142159479, 0.018529567731038105, 0.018649258232501752, 0.018799678191882781, 0.018994539723476086, 0.019256638119733729, 0.01962644839456364, 0.020182242974861035, 0.021093867181110438, 0.022795683624651033, 0.026721226279111093, 0.040337354246231388, 0.16297902225794639, 0.065729485770060297, 0.024933134289774752, 0.019612780539334945, 0.018178983774733225, 0.017655793387905499, 0.017434215545799797, 0.017333747476839984, 0.017287982377563797, 0.017268793541498111, 0.017263050371253565, 0.01726418716931416, 0.017268760822699722, 0.017274910698075699, 0.017281618138941985, 0.017288329172645119, 0.017294752966015816, 0.017300749917524259, 0.017306267551609498, 0.017311302899998632, 0.017315880051912789, 0.017320036640419756, 0.017323815718737746, 0.017327260948393243, 0.017330413848602361, 0.017333312336288501, 0.01733599007234024, 0.017338476304785008, 0.017340796009238931, 0.017342970197194326, 0.017345016308451002, 0.017346948634216756, 0.017348778737540434, 0.017350515851201946, 0.017352167242149646, 0.017353738537483961, 0.017355234010798026, 0.017356656830061733, 0.017358009269630346, 0.017359292889691146, 0.017360508686754851, 0.017361657218809043, 0.017362738708586713, 0.017363753128139665, 0.017364700267593711, 0.01736557979063506, 0.017366391278953744, 0.017367134267566732, 0.017367808272663689, 0.017368412813368039, 0.017368947428584004, 0.017369411689906054, 0.017369805211397915, 0.017370127656902455, 0.01737037874541697, 0.017370558254959, 0.01737066602525204, 0.017370701959476077, 0.017370695831486677, 0.017370677438329828, 0.017370646752405235, 0.017370603727597574, 0.017370548299103724, 0.017370480383189339, 0.017370399876873721, 0.017370306657540923, 0.017370200582475077, 0.017370081488317299, 0.017369949190440936, 0.017369803482241836, 0.017369644134339397, 0.017369470893683736, 0.017369283482564227, 0.017369081597513134, 0.017368864908098341, 0.017368633055598014, 0.017368385651549419, 0.017368122276163508, 0.017367842476595598, 0.017367545765062619, 0.017367231616795129, 0.017366899467812634, 0.017366548712508968, 0.017366178701033831, 0.017365788736455379, 0.017365378071687865, 0.017364945906167332, 0.017364491382257242, 0.01736401358136536, 0.017363511519752364, 0.017362984144012477, 0.017362430326206369, 0.017361848858627186, 0.017361238448182298, 0.017360597710375462, 0.017359925162878674, 0.017359219218688746, 0.01735847817887309, 0.017357700224921346, 0.017356883410737874, 0.01735602565433448, 0.017355124729316673, 0.017354178256302977, 0.017353183694480002, 0.017352138333580992, 0.017351039286692529, 0.017349883484451385, 0.017348667671408861, 0.017347388405633397, 0.0173460420630231, 0.017344624848352034, 0.017343132815833801, 0.017341561903042025, 0.01733990798349775, 0.017338166945300177, 0.017336334806097305, 0.017334407878855568, 0.017332383008870536, 0.017330257911142701, 0.017328031649971994, 0.017325705321499924, 0.017323283028263612, 0.017320773277938243, 0.017318191005012407, 0.017315560518598259, 0.017312919846420336, 0.017310327216769599, 0.01730787087246638, 0.01730568418182906, 0.017303969361490756, 0.017303035561298509, 0.017303361606789393, 0.017305702510700727, 0.017311276736364033, 0.017322109325696718, 0.017341692386951886, 0.017376334614047514, 0.017438129073372763, 0.017552114901559914, 0.017775782592587705, 0.018261703074936582, 0.019512666764756444, 0.023895193280892384, 0.051978602639428002, 0.077590744959338639, 0.030994107156468546, 0.023132447152087753, 0.020694723476645614, 0.019619974218551651, 0.019044111639526188, 0.01869552292481625, 0.018466264990280545, 0.018306214284418292, 0.018189364434164607, 0.018101051729127758, 0.018032455260772122, 0.017977986713882361, 0.017933952299393725, 0.017897822517473804, 0.017867812419043359, 0.017842629559844964, 0.017821316890925754, 0.017803151613330855, 0.017787578201499506, 0.017774162940106537, 0.017762562380169569, 0.017752501022459871, 0.017743755253003264, 0.017736141599542791, 0.017729508028841455, 0.017723727419848668, 0.017718692617931655, 0.017714312654474151, 0.017710509836874933, 0.017707217496607777, 0.017704378240345316, 0.017701942589455198, 0.017699867921856863, 0.017698117650884155, 0.01769666059087666, 0.017695470470397424, 0.017694525562420522, 0.017693808407370042, 0.017693305610113251, 0.017693007696331371, 0.017692909017411104, 0.017693007696331361, 0.017693305610113248, 0.017693808407370039, 0.017694525562420519, 0.01769547047039742, 0.017696660590876642, 0.017698117650884162, 0.01769986792185687, 0.017701942589455209, 0.01770437824034533, 0.017707217496607777, 0.017710509836874923, 0.017714312654474141, 0.017718692617931655, 0.017723727419848664, 0.017729508028841452, 0.017736141599542773, 0.017743755253003233, 0.017752501022459892, 0.017762562380169586, 0.017774162940106517, 0.017787578201499513, 0.017803151613330861, 0.017821316890925757, 0.017842629559844971, 0.017867812419043373, 0.017897822517473808, 0.0179339522993937, 0.01797798671388234, 0.018032455260772129, 0.018101051729127817, 0.018189364434164617, 0.018306214284418337, 0.018466264990280666, 0.018695522924816427, 0.019044111639525938, 0.019619974218551165, 0.020694723476646623, 0.023132447152088537, 0.03099410715645844, 0.077590744959281838, 0.051978602639442185, 0.023895193280888277, 0.019512666764755941, 0.018261703074936721, 0.017775782592587774, 0.017552114901559949, 0.017438129073372714, 0.017376334614047577, 0.017341692386951907, 0.017322109325696722, 0.017311276736364043, 0.017305702510700724, 0.017303361606789393, 0.017303035561298509, 0.017303969361490753, 0.017305684181829064, 0.017307870872466376, 0.017310327216769585, 0.017312919846420326, 0.017315560518598248, 0.017318191005012407, 0.01732077327793824, 0.017323283028263622, 0.017325705321499924, 0.017328031649972001, 0.017330257911142705, 0.01733238300887054, 0.017334407878855561, 0.017336334806097312, 0.017338166945300177, 0.017339907983497743, 0.017341561903042015, 0.017343132815833807, 0.017344624848352048, 0.017346042063023107, 0.01734738840563339, 0.017348667671408864, 0.017349883484451371, 0.017351039286692529, 0.017352138333581006, 0.017353183694480002, 0.01735417825630298, 0.017355124729316669, 0.017356025654334483, 0.017356883410737874, 0.017357700224921346, 0.01735847817887309, 0.017359219218688739, 0.017359925162878674, 0.017360597710375465, 0.017361238448182301, 0.017361848858627182, 0.017362430326206366, 0.01736298414401248, 0.017363511519752371, 0.017364013581365353, 0.017364491382257239, 0.017364945906167321, 0.017365378071687865, 0.017365788736455386, 0.017366178701033842, 0.017366548712508964, 0.017366899467812627, 0.017367231616795122, 0.017367545765062612, 0.017367842476595608, 0.017368122276163502, 0.017368385651549429, 0.017368633055598021, 0.017368864908098344, 0.017369081597513138, 0.017369283482564231, 0.017369470893683746, 0.01736964413433939, 0.017369803482241843, 0.017369949190440936, 0.017370081488317295, 0.017370200582475081, 0.01737030665754092, 0.017370399876873725, 0.017370480383189345, 0.017370548299103721, 0.017370603727597574, 0.017370646752405235, 0.017370677438329828, 0.01737069583148668, 0.017370701959476067, 0.017370698895864449, 0.017370689705034588, 0.017370674387001628, 0.017370652941791513, 0.017370625369441985, 0.017370591670004081, 0.017370551843543924, 0.017370505890145091, 0.017370453809911379, 0.017370395602969942, 0.017370331269475139, 0.017370260809612577, 0.017370184223604, 0.017370101511712442, 0.0173700126742482, 0.017369917711575224, 0.017369816624118361, 0.017369709412371107, 0.017369596076904241, 0.017369476618375106, 0.017369351037537943, 0.017369219335254954, 0.017369081512508367, 0.017368937570413683, 0.017368787510233893, 0.017368631333395057, 0.017368469041503083, 0.017368300636362088, 0.017368126119994189, 0.017367945494661041, 0.017367758762887216, 0.017367565927485569, 0.017367366991584789, 0.017367161958659286, 0.017366950832561782, 0.017366733617558538, 0.017366510318367907, 0.017366280940202056, 0.017366045488812574, 0.017365803970540061, 0.017365556392368139, 0.017365302761982566, 0.017365043087835492, 0.017364777379215896, 0.017364505646326387, 0.017364227900367374, 0.017363944153629175, 0.017363654419592933, 0.017363358713041347, 0.017363057050180125, 0.017362749448771655, 0.017362435928281749, 0.017362116510041437, 0.017361791217425072, 0.017361460076046987, 0.017361123113978468, 0.017360780361987876, 0.017360431853806133, 0.017360077626421062, 0.017359717720403907, 0.017359352180271896, 0.0173589810548915, 0.017358604397927448, 0.01735822226834334, 0.017357834730960527, 0.017357441857082982, 0.017357043725196811, 0.017356640421754638, 0.017356232042056288, 0.01735581869123928, 0.017355400485394527, 0.017354977552825026, 0.017354550035468503, 0.017354118090507895, 0.017353681892197822, 0.017353241633939837, 0.017352797530644878, 0.017352349821427679, 0.017351898772686274, 0.01735144468162874, 0.017350987880320988, 0.017350528740342736, 0.017350067678155424, 0.017349605161305764, 0.017349141715612432, 0.017348677933513152, 0.017348214483785103, 0.017347752122895743, 0.017347291708295125, 0.017346834214028401, 0.017346380749129517, 0.017345932579361605, 0.01734549115299899, 0.017345058131508783, 0.017344635426197175, 0.017344225242146294, 0.0173438301311039, 0.017343453055416291, 0.01734309746565104, 0.017342767395277247, 0.017342467576714246, 0.01734220358430287, 0.017341982011400605, 0.017341810691005082, 0.017341698972276678, 0.01734165806936204, 0.017341701504446524, 0.0173418456746114, 0.017342110582766659, 0.017342520788048578, 0.017343106652693029, 0.017343905993708084, 0.017344966293631719, 0.017346347693106504, 0.017348127091549502, 0.017350403841519337, 0.017353307772114596, 0.017357010676158781, 0.017361743049072315, 0.017367818961722757, 0.017375673833392041, 0.017385923212436052, 0.0173994568008842, 0.017417593631368338, 0.017442347501732708, 0.017476900164383542, 0.017526486485959399, 0.017600146690988746, 0.018232643654209759, 0.023531146099458271, 0.022447609794475364, 0.018633068349558055, 0.017962765346462739, 0.017741681262624914, 0.017645425333990113, 0.017599503728471327, 0.01757986707222909, 0.017577460162770744, 0.017589099386892803, 0.017614625494126634, 0.017656041051353051, 0.017717488176674512, 0.017805743006072062, 0.017931147493445487, 0.018108894098939329, 0.018360242338281058, 0.018712184047227326, 0.019191689332460377, 0.01980748384789828, 0.020514692212457185, 0.021181209840174842, 0.021614611630876954, 0.021680433435393998, 0.021404724339085787, 0.020934556410196245, 0.020420527116755974, 0.019951878941624038, 0.01956046256134544, 0.019246614944575594, 0.018998876827661985, 0.018803773498096782, 0.018649433233803008, 0.01852641238592017, 0.018427507507176533, 0.018347308233775242, 0.018281759830602911, 0.018227808694054548, 0.018183135041248639, 0.018145957396827828, 0.018114891236694478, 0.018088846982952655, 0.018066956159853171, 0.018048517623362438, 0.018032958131815616, 0.018019803221262586, 0.018008655542099312, 0.017999178644402872, 0.017991084776633935, 0.017984125664257989, 0.017978085516006471, 0.017972775703604612, 0.017968030701644152, 0.01796370497557424, 0.017959670579665001, 0.017955815281620387, 0.017952041072018695, 0.017948262948869368, 0.017944407892965957, 0.017940413970173066, 0.017936229513495862, 0.017931812351507797, 0.017927129060952944, 0.017922154230422777, 0.01791686972916463, 0.01791126398050618, 0.017905331243253157, 0.017899070906926579, 0.017892486808045831, 0.017885586575044427, 0.017878381009035597, 0.017870883506728275, 0.017863109530520067, 0.017855076129328566, 0.017846801512204892, 0.017838304675311691, 0.017829605081524702, 0.017820722390779708, 0.017811676238366755, 0.017802486057675933, 0.017793170943417355, 0.017783749551052559, 0.017774240028060797, 0.017764659972691738, 0.017755026415997549, 0.017745355823161529, 0.017735664110424623, 0.017725966674229945, 0.017716278429542091, 0.017706613854637249, 0.017696987039989547, 0.017687411739192693, 0.017677901420146209, 0.01766846931500126, 0.017659128467599778, 0.01764989177735329, 0.017640772038696049, 0.017631781975412188, 0.017622934269281579, 0.017614241582617214, 0.01760571657438003, 0.017597371909659161, 0.017589220262397658, 0.017581274311331309, 0.01757354672918764, 0.017566050165272691, 0.017558797221648846, 0.017551800423183207, 0.017545072181821372, 0.017538624755516909, 0.017532470202319655, 0.017526620330198937, 0.017521086643246545, 0.017515880284968827, 0.017511011979435893, 0.017506491971106455, 0.017502329964186828, 0.017498535062413157, 0.017495115710159482, 0.017492079635776415, 0.01748943379804907, 0.017487184336630428, 0.017485336527257849, 0.017483894742492373, 0.01748286241864002, 0.017482242029415535, 0.017482035066798934, 0.017482173047604119, 0.017482586726112036, 0.017483275311553914, 0.017484237489147316, 0.017485471424796721, 0.017486974771578533, 0.017488744677916834, 0.017490777797330246, 0.017493070299607304, 0.017495617883245374, 0.017498415788967735, 0.017501458814115422, 0.017504741327694417, 0.017508257285844479, 0.017512000247485372, 0.017515963389886008, 0.017520139523897162, 0.017524521108582995, 0.017529100264986202, 0.017533868788762851, 0.017538818161426249, 0.017543939559946816, 0.017549223864463344, 0.017554661663874677, 0.01756024325909571, 0.017565958663781092, 0.01757179760234328, 0.017577749505119245, 0.017583803500572058, 0.017589948404452615, 0.017596172705890475, 0.017602464550435709, 0.017608811720134104, 0.017615201610787373, 0.017621621206632163, 0.017628057052763612, 0.017634495225735073, 0.017640921302885533, 0.017647320331080397, 0.017653676795700408, 0.017659974590877071, 0.017666196992149951, 0.017672326632909182, 0.017678345486182155, 0.01768423485352176, 0.017689975362947075, 0.017695546978067574, 0.017700929020676805, 0.017706100209217559, 0.017711038715580586, 0.017715722242685208, 0.017720128125181651, 0.017724233455391095, 0.017728015236238941, 0.017731450562421355, 0.01773451683036081, 0.017737191976644345, 0.017739454743601703, 0.017741284969482195, 0.017742663899358947, 0.017743574511471214, 0.01774400185227307, 0.017743933372069986, 0.017743359251884864, 0.017742272711207388, 0.017740670285646503, 0.017738552063327268, 0.017735921869226297, 0.017732787387582334, 0.017729160214062345, 0.017725055831482515, 0.017720493505498359, 0.017715496099667927, 0.017710089812489699, 0.017704303842231553, 0.017698169988393412, 0.017691722201284198, 0.017684996093269845, 0.017678028426628883, 0.017670856593557084, 0.017663518103673382, 0.017656050093437136, 0.017648488870287631, 0.017640869502199161, 0.017633225460873644, 0.017625588324145271, 0.017617987540517806, 0.017610450256247929, 0.017603001203149646, 0.01759566264341348, 0.017588454366262971, 0.017581393730224035, 0.017574495744150587, 0.017567773179894018, 0.017561236709573134, 0.017554895060733322, 0.017548755183214811, 0.017542822422215137, 0.017537100692777884, 0.017531592651714074, 0.017526299863729455, 0.017521222959258093, 0.017516361782168473, 0.017511715526101843, 0.017507282858714671, 0.017503062033528249, 0.017499050989440958, 0.017495247438237358, 0.017491648940641206, 0.017488252971614278, 0.017485056975708166, 0.01748205841333942, 0.017479254798888816, 0.017476643731528126, 0.017474222919659495, 0.017471990199819681, 0.017469943550855314, 0.017468081104123387, 0.017466401150413008, 0.017464902144224012, 0.01746358270597646, 0.017462441622663704, 0.01746147784740076, 0.017460690498261548, 0.017460078856740373, 0.017459642366117918, 0.017459380629958908, 0.017459293410915261], [0.019990214233303372, 0.019990428599811462, 0.019991071504842285, 0.0199921423680939, 0.019993640232978237, 0.01999556378244971, 0.019997911361078129, 0.020000681003285354, 0.020003870467647414, 0.020007477277153355, 0.02001149876530885, 0.020015932127974249, 0.020020774480839297, 0.02002602292245927, 0.020031674602809097, 0.020037726797357262, 0.020044176986720893, 0.020051022942037477, 0.020058262816279523, 0.02006589524185114, 0.020073919434937804, 0.020082335307242224, 0.020091143585927316, 0.020100345942816088, 0.020109945134166911, 0.020119945152664742, 0.020130351393656633, 0.020141170838123518, 0.020152412255444976, 0.020164086429699399, 0.020176206414081476, 0.020188787819057145, 0.0202018491411592, 0.020215412140933808, 0.020229502280564863, 0.020244149234257665, 0.020259387487715094, 0.020275257047213686, 0.020291804284179333, 0.020309082948179957, 0.020327155390460001, 0.020346094052314728, 0.020365983288836421, 0.020386921620411062, 0.020409024534021904, 0.020432427997150511, 0.020457292903588224, 0.020483810749828545, 0.020512210953554245, 0.020542770388403766, 0.020575825947224225, 0.020611791299980052, 0.020651179548256376, 0.020694634305116942, 0.020742973032538602, 0.020797248572428925, 0.020858838292541339, 0.020929576213323108, 0.021011953958464301, 0.021109435531614137, 0.021226967471455888, 0.021371839136505137, 0.021555203025625358, 0.021794916732870255, 0.022121232368928115, 0.022589204762397338, 0.02330890746470534, 0.024530744960338021, 0.026942772298679647, 0.033110144813358625, 0.060173333744178263, 0.25745046528299276, 0.042419108478042124, 0.024510890443779423, 0.021271388267962914, 0.020297348708144806, 0.01993178960396793, 0.019780860770910812, 0.019718367893798171, 0.019695811818459218, 0.019692170075926076, 0.01969754878749826, 0.019707027035100286, 0.019718075487868532, 0.01972938039523053, 0.019740271574576824, 0.019750429141889549, 0.019759726611735435, 0.01976814404802266, 0.019775718721372244, 0.019782516575716599, 0.019788615598050775, 0.019794096173951989, 0.019799035627460344, 0.019803505303117756, 0.019807569202286868, 0.019811283565887974, 0.019814697022555658, 0.019817851060277076, 0.019820780666939316, 0.019823515041304477, 0.019826078312579126, 0.019828490230974539, 0.019830766807759088, 0.019832920893978919, 0.019834962694012016, 0.019836900214586738, 0.019838739652623592, 0.019840485726801343, 0.019842141958485097, 0.019843710907859437, 0.019845194370972812, 0.019846593543056786, 0.019847909153026325, 0.019849141573560092, 0.019850290910643002, 0.019851357075955259, 0.019852339845026538, 0.019853238903650691, 0.019854053884678039, 0.019854784396967879, 0.019855430047992985, 0.019855990461335023, 0.019856465290092148, 0.019856854227033288, 0.019857157012172437, 0.019857373438297597, 0.019857503354868154, 0.019857546670588255, 0.019857539337575825, 0.019857517327341489, 0.019857480606250935, 0.019857429118102735, 0.019857362783911266, 0.019857281501600741, 0.019857185145608889, 0.019857073566397557, 0.019856946589867534, 0.019856804016673849, 0.019856645621437498, 0.019856471151848607, 0.01985628032765565, 0.019856072839534108, 0.019855848347827911, 0.019855606481155204, 0.019855346834869843, 0.01985506896936853, 0.019854772408232642, 0.019854456636192508, 0.019854121096900473, 0.01985376519049822, 0.01985338827096143, 0.019852989643203943, 0.019852568559921492, 0.019852124218153012, 0.019851655755535547, 0.019851162246226441, 0.01985064269646419, 0.01985009603973617, 0.019849521131519395, 0.019848916743556825, 0.019848281557629056, 0.019847614158777865, 0.019846913027934999, 0.019846176533906485, 0.019845402924659892, 0.019844590317859661, 0.019843736690593927, 0.019842839868236088, 0.019841897512385583, 0.019840907107836349, 0.019839865948529437, 0.019838771122459145, 0.019837619495522572, 0.01983640769433374, 0.019835132088068683, 0.019833788769474121, 0.01983237353526621, 0.019830881866279564, 0.019829308907915268, 0.019827649451702029, 0.019825897919158564, 0.01982404834967158, 0.019822094394847521, 0.019820029322848178, 0.019817846037717631, 0.019815537120847552, 0.019813094904805165, 0.019810511594205871, 0.019807779454820099, 0.019804891101690932, 0.019801839931303584, 0.019798620764308494, 0.019795230797982153, 0.019791671018059814, 0.019787948298615993, 0.019784078544556584, 0.01978009143546007, 0.01977603766737435, 0.019772000160932821, 0.019768111696145448, 0.019764583204130211, 0.019761750205030005, 0.019760151100634608, 0.019760663393888458, 0.019764749672339325, 0.01977492191852399, 0.019795665981484006, 0.019835406528949422, 0.019911038576012202, 0.020059530851353102, 0.020372072078566335, 0.021116129569004525, 0.023319947837182095, 0.033303580578955938, 0.10423872634638726, 0.048222530196610144, 0.028994675589789604, 0.024528016297241752, 0.022826667524499654, 0.02198738348987014, 0.021505069262266901, 0.021198821735187126, 0.020990308711669011, 0.020840870234730365, 0.020729508507581415, 0.020643952915094885, 0.020576606423172123, 0.02052254032795077, 0.020478431026087443, 0.020441963245757009, 0.020411478772655305, 0.020385761163641908, 0.020363899146925591, 0.020345197299248999, 0.020329116076684119, 0.020315230605566861, 0.020303201775396389, 0.020292755586709389, 0.020283668154711505, 0.020275754661893554, 0.020268861116155119, 0.020262858134177907, 0.02025763620856922, 0.02025310207704703, 0.02024917592053296, 0.02024578919192023, 0.020242882929643241, 0.020240406447246319, 0.020238316316726918, 0.020236575582741959, 0.020235153159015869, 0.0202340233690049, 0.020233165601120675, 0.020232564055357827, 0.020232207563542045, 0.020232089470001834, 0.020232207563542041, 0.020232564055357821, 0.020233165601120685, 0.0202340233690049, 0.020235153159015862, 0.020236575582741938, 0.020238316316726918, 0.020240406447246326, 0.020242882929643248, 0.020245789191920247, 0.020249175920532957, 0.020253102077047017, 0.020257636208569203, 0.020262858134177903, 0.020268861116155112, 0.020275754661893543, 0.020283668154711488, 0.02029275558670935, 0.02030320177539641, 0.020315230605566878, 0.020329116076684108, 0.020345197299248999, 0.020363899146925601, 0.020385761163641911, 0.020411478772655318, 0.02044196324575703, 0.020478431026087447, 0.020522540327950752, 0.020576606423172092, 0.020643952915094896, 0.020729508507581491, 0.020840870234730392, 0.020990308711669056, 0.021198821735187286, 0.021505069262267154, 0.0219873834898698, 0.022826667524498922, 0.024528016297243393, 0.02899467558979088, 0.048222530196581882, 0.10423872634643447, 0.033303580578960823, 0.023319947837180097, 0.021116129569004261, 0.020372072078566419, 0.02005953085135315, 0.01991103857601223, 0.019835406528949391, 0.019795665981484051, 0.019774921918523997, 0.019764749672339332, 0.019760663393888458, 0.019760151100634601, 0.019761750205030012, 0.019764583204130211, 0.019768111696145445, 0.019772000160932821, 0.01977603766737435, 0.01978009143546006, 0.019784078544556574, 0.019787948298615975, 0.019791671018059811, 0.019795230797982146, 0.019798620764308501, 0.019801839931303584, 0.019804891101690938, 0.019807779454820113, 0.019810511594205875, 0.019813094904805147, 0.019815537120847562, 0.019817846037717635, 0.019820029322848164, 0.019822094394847518, 0.019824048349671591, 0.019825897919158574, 0.01982764945170204, 0.019829308907915264, 0.019830881866279564, 0.019832373535266196, 0.019833788769474121, 0.019835132088068693, 0.019836407694333744, 0.019837619495522568, 0.019838771122459142, 0.019839865948529444, 0.019840907107836345, 0.019841897512385583, 0.019842839868236085, 0.019843736690593923, 0.019844590317859664, 0.019845402924659892, 0.019846176533906482, 0.019846913027934995, 0.019847614158777865, 0.019848281557629056, 0.019848916743556835, 0.019849521131519388, 0.019850096039736163, 0.019850642696464173, 0.019851162246226441, 0.019851655755535547, 0.019852124218153015, 0.019852568559921489, 0.019852989643203936, 0.019853388270961416, 0.01985376519049822, 0.019854121096900476, 0.019854456636192501, 0.019854772408232652, 0.019855068969368537, 0.019855346834869839, 0.0198556064811552, 0.019855848347827915, 0.019856072839534115, 0.019856280327655646, 0.019856471151848611, 0.019856645621437494, 0.019856804016673852, 0.019856946589867534, 0.019857073566397557, 0.019857185145608885, 0.019857281501600748, 0.019857362783911255, 0.019857429118102735, 0.019857480606250932, 0.019857517327341499, 0.019857539337575832, 0.019857546670588248, 0.019857543004543447, 0.019857532006350279, 0.019857513675832592, 0.019857488012697079, 0.01985745501653375, 0.019857414686816642, 0.019857367022904537, 0.019857312024042086, 0.019857249689361065, 0.019857180017881785, 0.019857103008514843, 0.019857018660062974, 0.019856926971223366, 0.019856827940589971, 0.019856721566656379, 0.019856607847818765, 0.019856486782379407, 0.019856358368550337, 0.019856222604457574, 0.019856079488145557, 0.019855929017582357, 0.019855771190665044, 0.019855606005225832, 0.019855433459038663, 0.019855253549826615, 0.01985506627526978, 0.019854871633014071, 0.01985466962068088, 0.01985446023587752, 0.019854243476208785, 0.0198540193392896, 0.019853787822758848, 0.019853548924294539, 0.019853302641630446, 0.019853048972574412, 0.019852787915028269, 0.019852519467009919, 0.019852243626677351, 0.019851960392355199, 0.019851669762563893, 0.019851371736051542, 0.019851066311829306, 0.019850753489210064, 0.01985043326785111, 0.019850105647801194, 0.019849770629552361, 0.019849428214097194, 0.019849078402992021, 0.019848721198426657, 0.019848356603301569, 0.019847984621313378, 0.019847605257049324, 0.019847218516092162, 0.019846824405136382, 0.019846422932117316, 0.019846014106354559, 0.019845597938711608, 0.019845174441773351, 0.019844743630044088, 0.019844305520168408, 0.019843860131177764, 0.01984340748476621, 0.019842947605598966, 0.019842480521658264, 0.019842006264631257, 0.019841524870345774, 0.019841036379260421, 0.019840540837016515, 0.019840038295060439, 0.019839528811346572, 0.019839012451132058, 0.019838489287877008, 0.019837959404265602, 0.019837422893366142, 0.019836879859951022, 0.019836330422001332, 0.01983577471242488, 0.01983521288102124, 0.019834645096733713, 0.019834071550234849, 0.019833492456901046, 0.019832908060241419, 0.019832318635858902, 0.01983172449603629, 0.019831125995057531, 0.019830523535397014, 0.019829917574935713, 0.019829308635396004, 0.019828697312226747, 0.019828084286219783, 0.019827470337199612, 0.019826856360204276, 0.019826243384669543, 0.019825632597246859, 0.019825025369034723, 0.019824423288190531, 0.019823828199130145, 0.019823242249826085, 0.01982266794910802, 0.019822108236374692, 0.019821566566782405, 0.019821047015834373, 0.019820554408422952, 0.019820094478872827, 0.019819674070527659, 0.019819301386105742, 0.019818986303687846, 0.019818740778174509, 0.019818579354917629, 0.019818519831804257, 0.019818584119557642, 0.019818799369235352, 0.019819199463614982, 0.019819827009634434, 0.019820736029016357, 0.019821995634371817, 0.01982369511589872, 0.019825951078203747, 0.019828917606854738, 0.019832800995165791, 0.019837881475047232, 0.019844545949185048, 0.019853338439917875, 0.019865039878693959, 0.019880798043105274, 0.019902346326835494, 0.019932386441588429, 0.01997528823059715, 0.02028995938177687, 0.022051216415457407, 0.031292341304350088, 0.022322333760596145, 0.02079351304648187, 0.02039254855792566, 0.020235393101801443, 0.020163667541280815, 0.020132559869722757, 0.020126275906418672, 0.020139235696839123, 0.020170671374141146, 0.020223018794934169, 0.020301776905944053, 0.020416222136832193, 0.02058086515533282, 0.020817607579373981, 0.0211581190089336, 0.021644314915242564, 0.022320661944004894, 0.02320548910013899, 0.024230455024172808, 0.025179947291847422, 0.025741727743799649, 0.025722662416172472, 0.025209921717549506, 0.024463126744115563, 0.023707970640207517, 0.023055712462224195, 0.022532178539476731, 0.022124599869289958, 0.021809859562891852, 0.021566024683236758, 0.02137550626885884, 0.021225072790566638, 0.021105003530596914, 0.021008191826604891, 0.020929418214436689, 0.020864812729657952, 0.020811471355997705, 0.020767185913556571, 0.020730254073817365, 0.020699345100351534, 0.020673404230806196, 0.020651583954046943, 0.020633194146626073, 0.020617665559100634, 0.02060452285096824, 0.020593364528318739, 0.020583847923020909, 0.020575677888811213, 0.020568598259523025, 0.020562385372089726, 0.020556843138029093, 0.020551799276129021, 0.020547102412369008, 0.020542619821826744, 0.020538235638975579, 0.020533849402493431, 0.020529374831931766, 0.02052473875863493, 0.020519880153674345, 0.020514749212246886, 0.02050930646761592, 0.020503521918666681, 0.020497374163796028, 0.020490849540406041, 0.020483941273939005, 0.0204766486434113, 0.02046897617201475, 0.020460932851809221, 0.0204525314110846, 0.020443787631869676, 0.020434719723538546, 0.020425347756711548, 0.020415693159835581, 0.020405778279086496, 0.020395626000662057, 0.020385259433185695, 0.020374701646853306, 0.020363975465134392, 0.020353103304276171, 0.02034210705552994, 0.020331008004893736, 0.020319826785208221, 0.020308583355618609, 0.020297297003688999, 0.02028598636579856, 0.020274669461831839, 0.020263363740578071, 0.02025208613265933, 0.020240853108199029, 0.020229680736814679, 0.020218584747862953, 0.020207580589179073, 0.020196683482834713, 0.020185908476689086, 0.02017527049072964, 0.020164784357392412, 0.020154464855222504, 0.020144326735384771, 0.020134384740667276, 0.020124653616738621, 0.020115148115527896, 0.020105882990697072, 0.020096872985268258, 0.020088132811560862, 0.020079677123681364, 0.020071520482896146, 0.020063677316304408, 0.020056161869315206, 0.020048988152516108, 0.020042169883604594, 0.020035720425132256, 0.0200296527188858, 0.020023979217795296, 0.020018711816318632, 0.020013861780295877, 0.020009439677302177, 0.020005455308542787, 0.020001917643335601, 0.01999883475720763, 0.019996213774593818, 0.019994060817070204, 0.019992380957974974, 0.019991178184177484, 0.019990455365641726, 0.019990214233303372, 0.01999037499481307, 0.019990856972843914, 0.019991659248999587, 0.019992780296263703, 0.019994217984410805, 0.019995969587471268, 0.019998031793141649, 0.020000400714002525, 0.020003071900378706, 0.020006040354651592, 0.020009300546808925, 0.020012846430997145, 0.020016671462822141, 0.020020768617128332, 0.020025130405973045, 0.020029748896501564, 0.020034615728422418, 0.020039722130775789, 0.020045058937687609, 0.020050616602802877, 0.02005638521209541, 0.020062354494760237, 0.020068513831903848, 0.020074852262763572, 0.020081358488204602, 0.020088020871265141, 0.020094827434547852, 0.020101765854287197, 0.020108823450960003, 0.020115987176351737, 0.020123243597042175, 0.020130578874336235, 0.020137978740736136, 0.020145428473132911, 0.020152912862991212, 0.020160416183909832, 0.020167922157064574, 0.020175413915181434, 0.020182873965845907, 0.020190284155129905, 0.020197625632710672, 0.020204878819864745, 0.020212023381941571, 0.020219038207152585, 0.020225901393745076, 0.020232590247859034, 0.020239081294577282, 0.020245350304862221, 0.020251372341208603, 0.020257121824912301, 0.020262572627837823, 0.02026769819143754, 0.02027247167550943, 0.020276866138751886, 0.020280854752562302, 0.020284411048714233, 0.020287509200525716, 0.020290124335903104, 0.020292232879225283, 0.020293812917458975, 0.020294844584219252, 0.020295310453786995, 0.020295195935459996, 0.020294489657159038, 0.020293183826054984, 0.020291274553253118, 0.020288762129381459, 0.020285651238374561, 0.020281951097886688, 0.02027767551662215, 0.020272842861402827, 0.020267475929904716, 0.020261601728543171, 0.020255251158768878, 0.020248458618826543, 0.020241261531582368, 0.020233699812108836, 0.020225815291121985, 0.020217651111943687, 0.020209251119317716, 0.020200659258128369, 0.020191918998904823, 0.020183072805062745, 0.020174161654302258, 0.020165224623645502, 0.020156298544467342, 0.020147417730749555, 0.02013861378085078, 0.020129915450471877, 0.020121348592313387, 0.020112936156223112, 0.020104698242436356, 0.020096652199800908, 0.020088812760609448, 0.02008119220376952, 0.020073800538453306, 0.020066645701009824, 0.020059733758715576, 0.020053069114822877, 0.0200466547102785, 0.020040492218384411, 0.020034582229523621, 0.020028924423851381, 0.02002351773054261, 0.020018360472781372, 0.020013450498177886, 0.020008785294705886, 0.020004362092574231, 0.020000177952691423, 0.019996229842558444, 0.019992514700545042, 0.019989029489575452, 0.019985771241282337, 0.019982737091688657, 0.019979924309454597, 0.019977330317685896, 0.019974952710246161, 0.019972789263453368, 0.019970837943972683, 0.019969096913646702, 0.019967564531931645, 0.019966239356537033, 0.019965120142794338, 0.01996420584221275, 0.019963495600612252, 0.0199629887561599, 0.019962684837573349, 0.019962583562693922], [0.023387762301534408, 0.023388017388072689, 0.023388782419848153, 0.023390056717114246, 0.023391839159517501, 0.023394128204883048, 0.023396921915414245, 0.023400217991214212, 0.023404013811017015, 0.02340830648000472, 0.023413092884583712, 0.023418369753996828, 0.023424133728663681, 0.02343038143516931, 0.023437109567860884, 0.023444314977066644, 0.023451994764024174, 0.02346014638269488, 0.023468767748751351, 0.023477857356161525, 0.023487414401953489, 0.023497438919941036, 0.023507931924418829, 0.023518895565114037, 0.023530333295008251, 0.023542250053036604, 0.02355465246414376, 0.023567549059743703, 0.023580950522320954, 0.023594869958751773, 0.023609323207954207, 0.02362432918975161, 0.023639910303414488, 0.023656092886325631, 0.023672907745704179, 0.023690390779482189, 0.023708583706455292, 0.023727534931006773, 0.023747300574406729, 0.023767945713425175, 0.02378954587848655, 0.023812188878812996, 0.023835977042349611, 0.023861029985711945, 0.023887488066783275, 0.023915516724055615, 0.023945311978449166, 0.023977107474279696, 0.024011183580110857, 0.024047879278776128, 0.024087607882396313, 0.024130878066367357, 0.024178322413616473, 0.024230736743197104, 0.024289135215977635, 0.024354829005455717, 0.024429540992681107, 0.024515576989321625, 0.024616088329544785, 0.024735487226730649, 0.024880127704082329, 0.025059469676184103, 0.025288170449230804, 0.025590074683134546, 0.026006408520468788, 0.026614248176091034, 0.027573515175842833, 0.029268110673451378, 0.032845897603902593, 0.043284284152462764, 0.10621078332042451, 0.13487634004943522, 0.035220574600564068, 0.026037012143783345, 0.02398268197971026, 0.023326883318954553, 0.023085453763312988, 0.022996065181559368, 0.022969499088559504, 0.022970420877341507, 0.022983364880132022, 0.023001111055999356, 0.023020167601877115, 0.023038837855290675, 0.023056329252260335, 0.023072317847430895, 0.023086725359104825, 0.023099600786204155, 0.023111055822517226, 0.023121229011836768, 0.023130265759810555, 0.023138307333962979, 0.023145485069473722, 0.023151917634753189, 0.023157710105275797, 0.0231629540973067, 0.023167728504394233, 0.023172100552933908, 0.023176126999324569, 0.02317985535801961, 0.023183325092726137, 0.023186568731097545, 0.023189612881801585, 0.023192479145067439, 0.023195184915764534, 0.023197744083082214, 0.023200167633871491, 0.023202464168303467, 0.023204640337143971, 0.023206701209954977, 0.023208650583142757, 0.023210491236139393, 0.023212225143246026, 0.023213853647858041, 0.023215377604989675, 0.023216797497249093, 0.023218113528705855, 0.023219325700449774, 0.02322043387106721, 0.023221437804756752, 0.023222337209366631, 0.023223131766256525, 0.023223821153559886, 0.02322440506414282, 0.023224883219316504, 0.023225255379154996, 0.023225521350093738, 0.023225680990331454, 0.023225734213423103, 0.023225725261812786, 0.023225698393120723, 0.023225653565708868, 0.023225590709997693, 0.02322550972819102, 0.023225410493888113, 0.023225292851581023, 0.023225156616033589, 0.023225001571538367, 0.023224827471046809, 0.02322463403516687, 0.023224420951021625, 0.02322418787096164, 0.023223934411121999, 0.023223660149815296, 0.023223364625748699, 0.023223047336053852, 0.023222707734115281, 0.023222345227182764, 0.023221959173750306, 0.023221548880682927, 0.023221113600070897, 0.023220652525787377, 0.023220164789724416, 0.023219649457678262, 0.023219105524852571, 0.023218531910943981, 0.023217927454771345, 0.02321729090840528, 0.023216620930749839, 0.023215916080523449, 0.023215174808579958, 0.023214395449504596, 0.023213576212412591, 0.023212715170870427, 0.023211810251851716, 0.0232108592236299, 0.023209859682500993, 0.02320880903821821, 0.023207704498010372, 0.02320654304904346, 0.023205321439173841, 0.023204036155830797, 0.023202683402855626, 0.023201259075117289, 0.023199758730721085, 0.023198177560628887, 0.023196510355522223, 0.023194751469765882, 0.023192894782378289, 0.023190933654995034, 0.023188860886938483, 0.023186668667700548, 0.023184348527438007, 0.023181891286515686, 0.023179287005776032, 0.023176524940163319, 0.023173593499727353, 0.023170480224091995, 0.023167171779519106, 0.02316365399222322, 0.023159911938353338, 0.023155930121237296, 0.023151692781945211, 0.023147184412948343, 0.023142390581466374, 0.023137299226988879, 0.023131902689832035, 0.023126200877428529, 0.023120206222578692, 0.023113951505287427, 0.023107502329994076, 0.023100977325121012, 0.023094581456255807, 0.023088662223686097, 0.023083807083372557, 0.023081017937753141, 0.023082036162582663, 0.023089977400922314, 0.023110645158615366, 0.023155451244987826, 0.023248526912176888, 0.023446222410073547, 0.023899960816809437, 0.025112112944332771, 0.029439257082823456, 0.056939260473390776, 0.092736119999373243, 0.039523077107946156, 0.030202416414592013, 0.027305171643029886, 0.026021310960708213, 0.025329199238783497, 0.024907647032414611, 0.024628769316591394, 0.024433017138857982, 0.024289393609052714, 0.024180360707773442, 0.024095331234321556, 0.024027574198354683, 0.02397262501994683, 0.02392741592205699, 0.023889774897709166, 0.023858124125829477, 0.023831291531667079, 0.023808389183859212, 0.023788732584358374, 0.023771785760192468, 0.023757123084728441, 0.023744402212971825, 0.0237333445635728, 0.02372372102783419, 0.023715341365174447, 0.023708046242139201, 0.02370170119640529, 0.023696192022548974, 0.023691421221707341, 0.02368730525689041, 0.023683772424951961, 0.023680761205005046, 0.023678218977873196, 0.023676101036346091, 0.02367436982450016, 0.023672994358183805, 0.023671949789360221, 0.023671217085349826, 0.023670782800820741, 0.023670638926144218, 0.023670782800820727, 0.023671217085349815, 0.023671949789360224, 0.023672994358183798, 0.023674369824500153, 0.023676101036346063, 0.0236782189778732, 0.023680761205005056, 0.023683772424951986, 0.023687305256890431, 0.023691421221707337, 0.023696192022548957, 0.02370170119640528, 0.023708046242139194, 0.023715341365174451, 0.023723721027834193, 0.023733344563572779, 0.023744402212971787, 0.023757123084728476, 0.023771785760192485, 0.023788732584358353, 0.023808389183859219, 0.023831291531667093, 0.023858124125829484, 0.023889774897709184, 0.023927415922057011, 0.023972625019946837, 0.024027574198354659, 0.024095331234321525, 0.024180360707773449, 0.024289393609052804, 0.024433017138858013, 0.024628769316591456, 0.024907647032414826, 0.025329199238783857, 0.026021310960707686, 0.027305171643028762, 0.030202416414594965, 0.039523077107948404, 0.092736119999305894, 0.056939260473426047, 0.029439257082825191, 0.025112112944331803, 0.023899960816809288, 0.023446222410073603, 0.023248526912176919, 0.023155451244987846, 0.023110645158615349, 0.023089977400922335, 0.023082036162582666, 0.023081017937753159, 0.023083807083372536, 0.023088662223686083, 0.02309458145625581, 0.023100977325121005, 0.023107502329994065, 0.023113951505287427, 0.023120206222578689, 0.023126200877428508, 0.023131902689832014, 0.023137299226988858, 0.02314239058146637, 0.023147184412948333, 0.023151692781945222, 0.023155930121237307, 0.023159911938353348, 0.023163653992223223, 0.023167171779519095, 0.023170480224091971, 0.023173593499727359, 0.023176524940163319, 0.023179287005776022, 0.023181891286515682, 0.023184348527438017, 0.023186668667700562, 0.023188860886938483, 0.023190933654995034, 0.023192894782378286, 0.023194751469765879, 0.023196510355522233, 0.023198177560628894, 0.023199758730721071, 0.023201259075117282, 0.023202683402855626, 0.023204036155830807, 0.023205321439173844, 0.02320654304904346, 0.023207704498010375, 0.023208809038218196, 0.023209859682500993, 0.023210859223629907, 0.023211810251851723, 0.023212715170870424, 0.023213576212412587, 0.023214395449504602, 0.023215174808579975, 0.023215916080523435, 0.023216620930749839, 0.023217290908405269, 0.023217927454771352, 0.023218531910943991, 0.023219105524852578, 0.023219649457678258, 0.023220164789724402, 0.023220652525787359, 0.023221113600070894, 0.023221548880682934, 0.023221959173750292, 0.023222345227182771, 0.023222707734115285, 0.023223047336053848, 0.023223364625748703, 0.023223660149815299, 0.023223934411122013, 0.023224187870961633, 0.023224420951021632, 0.02322463403516687, 0.023224827471046813, 0.02322500157153836, 0.023225156616033582, 0.023225292851581029, 0.02322541049388812, 0.023225509728191009, 0.0232255907099977, 0.023225653565708874, 0.023225698393120733, 0.023225725261812786, 0.023225734213423079, 0.023225729738183709, 0.023225716312327879, 0.023225693935442545, 0.023225662606839129, 0.023225622325553325, 0.023225573090344915, 0.023225514899697257, 0.023225447751817001, 0.023225371644633522, 0.023225286575798358, 0.023225192542684597, 0.023225089542386147, 0.023224977571717053, 0.023224856627210612, 0.023224726705118548, 0.023224587801410186, 0.023224439911771463, 0.02322428303160402, 0.023224117156024324, 0.023223942279862551, 0.023223758397661869, 0.023223565503677455, 0.023223363591875587, 0.023223152655932975, 0.023222932689236017, 0.023222703684880271, 0.023222465635669945, 0.023222218534117774, 0.023221962372444855, 0.023221697142580926, 0.023221422836164841, 0.023221139444545451, 0.02322084695878281, 0.023220545369649875, 0.023220234667634863, 0.023219914842943949, 0.023219585885505063, 0.023219247784972058, 0.023218900530730165, 0.023218544111902346, 0.023218178517356851, 0.023217803735716198, 0.023217419755367674, 0.023217026564475624, 0.023216624150995714, 0.023216212502691534, 0.023215791607153809, 0.023215361451822396, 0.023214922024011805, 0.023214473310940311, 0.023214015299763531, 0.023213547977612683, 0.023213071331638489, 0.023212585349061253, 0.023212090017228078, 0.023211585323678098, 0.023211071256217033, 0.023210547803001899, 0.023210014952637904, 0.023209472694288618, 0.023208921017801712, 0.023208359913852179, 0.02320778937410568, 0.023207209391404797, 0.02320661995998154, 0.023206021075699898, 0.023205412736332851, 0.02320479494187893, 0.023204167694924106, 0.023203531001056099, 0.023202884869338844, 0.023202229312856249, 0.023201564349336522, 0.023200890001869055, 0.023200206299728989, 0.023199513279326581, 0.023198810985301719, 0.023198099471787366, 0.023197378803870114, 0.023196649059281108, 0.023195910330356735, 0.023195162726315728, 0.023194406375908229, 0.023193641430503464, 0.023192868067694765, 0.023192086495517454, 0.023191296957393477, 0.023190499737940771, 0.023189695169813486, 0.023188883641775349, 0.023188065608251412, 0.023187241600658021, 0.023186412240878352, 0.023185578257334406, 0.023184740504212761, 0.02318389998453314, 0.023183057877918484, 0.023182215574137455, 0.023181374713764222, 0.023180537237651167, 0.023179705447361875, 0.023178882079300862, 0.023178070396043259, 0.023177274299378277, 0.023176498470915349, 0.023175748547883516, 0.023175031344145721, 0.023174355129685638, 0.023173729986242786, 0.023173168262853983, 0.023172685163515488, 0.023172299511053623, 0.023172034748147583, 0.023171920260649417, 0.023171993143534068, 0.023172300581652049, 0.023172903094942885, 0.023173879015389528, 0.023175330744582719, 0.023177393626284525, 0.023180248726389279, 0.023184141563656602, 0.023189410095981997, 0.023196527442879873, 0.023206168690962255, 0.023219318228798087, 0.023237447586405745, 0.023262820633221486, 0.023432235363824782, 0.024141317521327123, 0.029844335279359566, 0.029143763774768697, 0.024873699689651869, 0.02404734396719161, 0.023769237443186618, 0.023650457831621629, 0.023599053912232069, 0.023585478903076027, 0.023599484991117484, 0.023639020034874197, 0.023707047306289947, 0.023811122416396505, 0.023964471076187037, 0.024188396927442866, 0.024516128090905753, 0.024997698602786132, 0.025702875737647683, 0.026711455927195121, 0.02806560719090247, 0.02965665510739697, 0.031102480590747567, 0.031850711497780335, 0.03161352954227669, 0.03063283209375765, 0.029392074009295367, 0.028237277272234743, 0.027297655158888743, 0.026575932666665508, 0.026031946512101067, 0.025621742921999969, 0.025309488404827534, 0.025068688684248448, 0.024880424221475399, 0.024731290747782495, 0.024611745269108077, 0.024514918211689444, 0.024435794777171307, 0.024370657922617521, 0.024316709145491798, 0.024271808453321823, 0.024234294186219352, 0.024202856682117899, 0.024176448610980526, 0.024154220579419763, 0.024135474372556379, 0.024119628664920345, 0.024106193658050262, 0.024094752184911829, 0.024084945549427493, 0.024076462864626648, 0.024069032993614174, 0.024062418434852594, 0.024056410660841888, 0.024050826539533565, 0.0240455055557217, 0.024040307615290919, 0.024035111265355319, 0.02402981220254468, 0.024024321973000948, 0.024018566793024436, 0.024012486440030151, 0.024006033180364122, 0.023999170714131435, 0.023991873127875988, 0.023984123854040224, 0.023975914641894823, 0.023967244548356571, 0.023958118959101583, 0.02394854865094943, 0.023938548905952706, 0.023928138686282026, 0.023917339877130947, 0.023906176602723067, 0.023894674618292387, 0.023882860778785167, 0.023870762583116194, 0.023858407791175519, 0.023845824109464092, 0.02383303894024633, 0.023820079188432146, 0.023806971120010106, 0.023793740265710451, 0.023780411363637084, 0.023767008334829243, 0.023753554286051942, 0.023740071534536222, 0.023726581649858473, 0.023713105508640184, 0.023699663358241804, 0.02368627488610069, 0.023672959291815135, 0.023659735359492586, 0.023646621528260667, 0.023633635959179725, 0.023620796597098127, 0.023608121226258248, 0.02359562751869429, 0.023583333074667062, 0.023571255454561037, 0.023559412201826321, 0.023547820856690799, 0.023536498960494982, 0.023525464050622762, 0.023514733646110536, 0.023504325224127119, 0.023494256187619883, 0.0234845438245261, 0.023475205259049975, 0.023466257395608373, 0.023457716856145332, 0.023449599911613928, 0.023441922408515902, 0.023434699691475783, 0.023427946522903559, 0.023421677000867884, 0.023415904476353801, 0.023410641471118668, 0.023405899597377156, 0.023401689480547404, 0.023398020686267139, 0.02339490165284341, 0.023392339630232871, 0.023390340626556375, 0.023388909363041988, 0.023388049238156319, 0.023387762301534408, 0.023387953600412993, 0.023388527133662067, 0.023389481812409837, 0.023390815826144409, 0.023392526649060452, 0.023394611048814171, 0.023397065097559278, 0.023399884185100875, 0.02340306303397326, 0.023406595716216859, 0.023410475671601528, 0.023414695727019052, 0.023419248116744992, 0.023424124503251067, 0.023429315998233884, 0.023434813183511805, 0.023440606131434973, 0.023446684424444999, 0.023453037173420638, 0.023459653034446377, 0.023466520223645277, 0.023473626529727367, 0.023480959323915921, 0.02348850556693232, 0.023496251812740697, 0.023504184208779536, 0.023512288492439914, 0.023520549983587873, 0.023528953572972765, 0.023537483706417821, 0.023546124364749864, 0.023554859039499783, 0.023563670704489614, 0.023572541783520133, 0.023581454114488334, 0.023590388910394371, 0.023599326717846949, 0.023608247373846435, 0.023617129961814795, 0.023625952768053154, 0.023634693240040371, 0.023643327948237203, 0.023651832553328169, 0.023660181781111136, 0.023668349407527069, 0.023676308256597181, 0.023684030214290719, 0.023691486261566218, 0.023698646529992266, 0.023705480383437255, 0.023711956529294437, 0.023718043162549229, 0.023723708145670572, 0.023728919226786757, 0.02373364429786241, 0.023737851693606926, 0.023741510530605026, 0.023744591084670159, 0.023747065202703126, 0.023748906743433145, 0.023750092039393291, 0.023750600370428677, 0.023750414437068958, 0.023749520820351755, 0.023747910413308884, 0.02374557880847163, 0.02374252662555569, 0.023738759764062065, 0.023734289566950298, 0.023729132883821939, 0.023723312025147259, 0.023716854602858075, 0.023709793256932846, 0.02370216527217283, 0.023694012093932373, 0.023685378755827879, 0.023676313236124305, 0.023666865762341976, 0.023657088085458588, 0.02364703274579609, 0.023636752352267729, 0.023626298895184299, 0.023615723110429688, 0.023605073909718256, 0.023594397888080355, 0.023583738915941736, 0.023573137819407713, 0.023562632148846088, 0.023552256032752246, 0.023542040111292902, 0.023532011541928313, 0.023522194068120693, 0.023512608141327617, 0.02350327108619546, 0.02349419729903154, 0.023485398470157057, 0.023476883821532488, 0.023468660352014812, 0.023460733083674527, 0.023453105303700063, 0.023445778797495979, 0.023438754069598295, 0.023432030549957253, 0.023425606783958407, 0.023419480605258489, 0.023413649291103639, 0.023408109700277298, 0.023402858394203415, 0.023397891742016372, 0.023393206010615671, 0.023388797440861121, 0.023384662311145433, 0.023380796989616502, 0.023377197976320329, 0.023373861936505657, 0.023370785726281863, 0.023367966411754874, 0.023365401282691468, 0.023363087861679392, 0.023361023909666056, 0.023359207428671307, 0.023357636662384919, 0.023356310095273586, 0.023355226450741791, 0.023354384688809942, 0.023353784003696938, 0.023353423821620502, 0.023353303799055359], [0.028945263343912939, 0.028945582256021708, 0.028946538712344119, 0.028948131877558028, 0.028950360375073803, 0.028953222310394513, 0.028956715303699976, 0.028960836531544444, 0.028965582777533631, 0.028970950491834131, 0.028976935859365578, 0.028983534876531034, 0.028990743436362525, 0.028998557421993688, 0.029006972808422852, 0.029015985772598875, 0.029025592811954569, 0.029035790871626145, 0.029046577480736711, 0.029057950898294976, 0.029069910269463334, 0.029082455793198087, 0.029095588902555071, 0.029109312459306667, 0.029123630964932107, 0.029138550790543442, 0.029154080428912054, 0.029170230772484217, 0.029187015422157441, 0.029204451032664551, 0.029222557701732644, 0.029241359411820766, 0.029260884535269129, 0.029281166416239915, 0.02930224404603686, 0.029324162852463899, 0.029346975629084972, 0.029370743636945151, 0.029395537919997085, 0.029421440886816884, 0.029448548226132167, 0.029476971243515927, 0.029506839733165643, 0.029538305534609219, 0.029571546973234938, 0.029606774451256906, 0.029644237550268935, 0.029684234140177315, 0.029727122180736237, 0.029773335180122911, 0.029823402685720916, 0.029877977799124752, 0.029937874651295954, 0.030004120248265882, 0.030078027453919503, 0.030161299737389961, 0.030256184819549153, 0.030365705669516983, 0.030494017693770702, 0.03064697921945413, 0.030833097564272632, 0.031065168942521693, 0.031363275131486242, 0.031760621680412431, 0.032315852521555277, 0.033141793520558703, 0.034482157610702224, 0.036958210485233296, 0.042618999285238726, 0.062152207507499453, 0.21521562426664329, 0.073362303807521817, 0.035347190008979353, 0.030164322687429315, 0.028861289117116828, 0.028452312996944951, 0.028323806634940267, 0.028298230721635904, 0.028312986405399476, 0.028343129890856456, 0.028377965958622752, 0.028412759344112002, 0.028445449129072226, 0.028475231758821981, 0.028501909412276372, 0.028525575304411042, 0.028546456108092141, 0.02856483114187194, 0.028580990524517076, 0.028595213739474164, 0.028607759162830662, 0.028618859591075331, 0.028628721084389283, 0.028637523634354692, 0.028645422806624337, 0.02865255186360053, 0.028659024073686819, 0.028664935031792599, 0.02867036488725002, 0.028675380419903793, 0.028680036933675053, 0.028684379955450711, 0.028688446739221087, 0.028692267583107504, 0.028695866971635935, 0.028699264558223071, 0.028702476003984706, 0.028705513689102596, 0.028708387312437914, 0.028711104394101513, 0.028713670694467768, 0.028716090561780684, 0.02871836721914112, 0.028720503000343369, 0.028722499542788788, 0.028724357944564911, 0.028726078891753076, 0.028727662761115283, 0.028729109702511472, 0.028730419704702338, 0.028731592647591887, 0.028732628343448342, 0.028733526569202007, 0.028734287091541889, 0.028734909686213721, 0.028735394152648443, 0.028735740324815372, 0.02873594807899147, 0.028736017338959929, 0.028736005774595317, 0.028735971063367258, 0.028735913150800131, 0.028735831945857122, 0.028735727320572672, 0.028735599109534288, 0.028735447109210655, 0.028735271077121455, 0.028735070730843373, 0.02873484574684583, 0.028734595759148517, 0.028734320357791523, 0.028734019087107942, 0.028733691443786402, 0.028733336874710858, 0.028732954774561469, 0.028732544483159893, 0.028732105282539524, 0.028731636393719125, 0.028731136973155602, 0.028730606108848724, 0.028730042816068283, 0.028729446032669036, 0.028728814613956759, 0.028728147327062852, 0.028727442844781004, 0.028726699738813411, 0.028725916472368, 0.028725091392041709, 0.028724222718916097, 0.028723308538783594, 0.028722346791412872, 0.028721335258749901, 0.028720271551939486, 0.028719153097037528, 0.028717977119268004, 0.028716740625661107, 0.028715440385887664, 0.028714072911082314, 0.028712634430421966, 0.028711120865195904, 0.0287095278000714, 0.028707850451221387, 0.028706083630939332, 0.028704221708320467, 0.02870225856553825, 0.028700187549189706, 0.028698001416124816, 0.028695692273113554, 0.028693251509642827, 0.028690669723077503, 0.028687936635370878, 0.028685041000481987, 0.02868197050166239, 0.028678711637841026, 0.028675249598494559, 0.028671568126702816, 0.028667649370636619, 0.0286634737246436, 0.028659019662590154, 0.028654263568503435, 0.028649179573335428, 0.028643739412631056, 0.028637912329284417, 0.028631665060446305, 0.028624961971330912, 0.02861776543668788, 0.028610036632372, 0.028601737000759613, 0.028592830822732521, 0.028583289615719584, 0.028573099573798378, 0.028562274145425108, 0.028550875443734174, 0.028539051180741102, 0.028527099626007704, 0.028515586806300119, 0.028505564899247403, 0.028498995881968473, 0.028499615334220008, 0.028514806666201382, 0.02856000034886759, 0.028670104874384591, 0.028933528553763917, 0.029614635664706634, 0.031739871937087785, 0.041564886748548802, 0.11327759851728661, 0.06319664474530487, 0.040145630233080577, 0.034691791241136194, 0.032592493493024746, 0.031546284481974642, 0.03093926705011988, 0.03055045005106068, 0.030283623773110464, 0.030091041652979329, 0.029946627707293713, 0.029835061734963739, 0.029746809230090564, 0.029675653505778693, 0.029617382235672212, 0.029569047483524874, 0.029528528538943465, 0.02949426303130755, 0.029465075727113977, 0.029440066204055742, 0.029418533194903233, 0.02939992243943803, 0.029383789998581412, 0.02936977597525375, 0.02935758538644637, 0.029346974043179614, 0.029337737998648847, 0.029329705579577377, 0.02932273131537062, 0.029316691280507907, 0.029311479502415402, 0.029307005181627547, 0.02930319053731479, 0.029299969138321773, 0.029297284613757822, 0.029295089661970131, 0.02929334529519766, 0.029292020271270886, 0.029291090674748922, 0.029290539618820593, 0.029290357046821692, 0.029290539618820575, 0.029291090674748922, 0.029292020271270893, 0.029293345295197656, 0.029295089661970121, 0.029297284613757781, 0.029299969138321787, 0.029303190537314793, 0.029307005181627568, 0.029311479502415427, 0.029316691280507914, 0.029322731315370606, 0.029329705579577359, 0.029337737998648847, 0.029346974043179614, 0.02935758538644636, 0.029369775975253722, 0.02938378999858135, 0.029399922439438061, 0.029418533194903264, 0.029440066204055721, 0.029465075727113973, 0.029494263031307567, 0.029528528538943475, 0.029569047483524891, 0.02961738223567224, 0.029675653505778696, 0.029746809230090526, 0.029835061734963683, 0.029946627707293717, 0.030091041652979458, 0.030283623773110502, 0.030550450051060767, 0.030939267050120175, 0.031546284481975162, 0.032592493493023976, 0.034691791241134272, 0.040145630233086836, 0.063196644745313418, 0.11327759851735382, 0.041564886748559467, 0.031739871937088701, 0.029614635664706089, 0.02893352855376382, 0.028670104874384615, 0.02856000034886761, 0.028514806666201389, 0.028499615334220012, 0.02849899588196847, 0.028505564899247403, 0.028515586806300123, 0.02852709962600768, 0.028539051180741085, 0.028550875443734157, 0.028562274145425098, 0.028573099573798378, 0.028583289615719591, 0.028592830822732514, 0.028601737000759582, 0.02861003663237198, 0.028617765436687842, 0.028624961971330916, 0.028631665060446294, 0.028637912329284424, 0.028643739412631063, 0.028649179573335445, 0.028654263568503438, 0.02865901966259015, 0.028663473724643583, 0.028667649370636636, 0.028671568126702813, 0.028675249598494545, 0.028678711637841026, 0.028681970501662411, 0.028685041000482012, 0.028687936635370885, 0.028690669723077492, 0.02869325150964282, 0.028695692273113537, 0.028698001416124823, 0.02870018754918972, 0.028702258565538243, 0.028704221708320453, 0.028706083630939322, 0.028707850451221394, 0.028709527800071404, 0.028711120865195904, 0.028712634430421963, 0.028714072911082304, 0.028715440385887671, 0.028716740625661114, 0.028717977119268, 0.028719153097037514, 0.028720271551939503, 0.028721335258749901, 0.028722346791412879, 0.028723308538783576, 0.02872422271891608, 0.028725091392041699, 0.028725916472367993, 0.028726699738813411, 0.028727442844781018, 0.028728147327062848, 0.028728814613956752, 0.028729446032669019, 0.028730042816068269, 0.028730606108848734, 0.028731136973155592, 0.028731636393719142, 0.028732105282539538, 0.0287325444831599, 0.028732954774561469, 0.028733336874710868, 0.028733691443786416, 0.028734019087107932, 0.028734320357791537, 0.028734595759148517, 0.028734845746845827, 0.02873507073084337, 0.028735271077121455, 0.028735447109210655, 0.028735599109534288, 0.028735727320572658, 0.028735831945857125, 0.028735913150800138, 0.028735971063367276, 0.028736005774595313, 0.028736017338959911, 0.028736011557510578, 0.028735994212895945, 0.028735965304315922, 0.028735924830436202, 0.028735872789387096, 0.028735809178761985, 0.028735733995614972, 0.028735647236458418, 0.028735548897259836, 0.028735438973438193, 0.028735317459859935, 0.028735184350834241, 0.028735039640108061, 0.02873488332086031, 0.028734715385695785, 0.028734535826638329, 0.028734344635123681, 0.028734141801991433, 0.028733927317476756, 0.028733701171201075, 0.028733463352162706, 0.028733213848726281, 0.028732952648611827, 0.028732679738883174, 0.028732395105935563, 0.028732098735482551, 0.028731790612542212, 0.028731470721422611, 0.0287311390457064, 0.028730795568234616, 0.028730440271089799, 0.028730073135578012, 0.028729694142210147, 0.028729303270682235, 0.028728900499854954, 0.02872848580773189, 0.028728059171437243, 0.028727620567191994, 0.028727169970289589, 0.028726707355070203, 0.028726232694893994, 0.028725745962113476, 0.02872524712804457, 0.028724736162936765, 0.028724213035941998, 0.028723677715082663, 0.028723130167218475, 0.028722570358012383, 0.028721998251895465, 0.028721413812030951, 0.028720817000277586, 0.028720207777152219, 0.028719586101791796, 0.028718951931915187, 0.028718305223784879, 0.028717645932168676, 0.028716974010302296, 0.028716289409852339, 0.028715592080881258, 0.028714881971814009, 0.028714159029407587, 0.028713423198724081, 0.028712674423108431, 0.028711912644171986, 0.028711137801783356, 0.028710349834068265, 0.028709548677420399, 0.02870873426652594, 0.02870790653440413, 0.028707065412467977, 0.028706210830608512, 0.028705342717307885, 0.028704460999786831, 0.028703565604193432, 0.028702656455841136, 0.028701733479505893, 0.028700796599793882, 0.028699845741593493, 0.028698880830628111, 0.028697901794129406, 0.028696908561654667, 0.028695901066076463, 0.028694879244778489, 0.028693843041099065, 0.02869279240607097, 0.028691727300517868, 0.028690647697579418, 0.028689553585752967, 0.028688444972558368, 0.028687321888956729, 0.028686184394681884, 0.028685032584680342, 0.02868386659689998, 0.02868268662172355, 0.028681492913414701, 0.02868028580403054, 0.028679065720370094, 0.028677833204666874, 0.028676588939917733, 0.028675333780971514, 0.028674068792800142, 0.028672795297762555, 0.028671514934174944, 0.028670229729160203, 0.02866894218961644, 0.028667655416293347, 0.028666373247497479, 0.028665100441003417, 0.028663842905531912, 0.028662607996950983, 0.028661404899575929, 0.028660245120187184, 0.028659143132535331, 0.028658117224466782, 0.028657190620363749, 0.028656392981358948, 0.028655762429437903, 0.028655348306424668, 0.028655214976716966, 0.028655447132628638, 0.028656157295066931, 0.028657496573851526, 0.02865967035461299, 0.028662961578854212, 0.028667765983682016, 0.028674646639021282, 0.028684420474728831, 0.028698299474270671, 0.028789017603898241, 0.029113847958404777, 0.030941511712762802, 0.040880665525174803, 0.032154775935245176, 0.030118492585544419, 0.029568525625675093, 0.029355597493043135, 0.029265416154044453, 0.029237403956648284, 0.029251478586961244, 0.0293027874618755, 0.02939491865837212, 0.029538785298307956, 0.029754348244741935, 0.030074890479598933, 0.030554420860654428, 0.031278417364124018, 0.032374069390575327, 0.034000975567128632, 0.036267108381199453, 0.038991733391740828, 0.041418482925668375, 0.042449381272662005, 0.041641395728526251, 0.039658104427544576, 0.037463986651172863, 0.035597130392590257, 0.034174738063246279, 0.033133154273185174, 0.032374580915362508, 0.031816491221306406, 0.031399155602322884, 0.031081470257329824, 0.030835462758486445, 0.030641980529958424, 0.030487726466487123, 0.030363308517862068, 0.030261970156673704, 0.030178760668360879, 0.030109986863350525, 0.030052845565512364, 0.030005173447672191, 0.029965274088851079, 0.029931796621959269, 0.029903649389528629, 0.029879937726064981, 0.029859918619860884, 0.029842967354085106, 0.029828552762983553, 0.029816218757789496, 0.029805570461612647, 0.029796263758856422, 0.029787997386639824, 0.029780506921282479, 0.029773560173631069, 0.02976695362372582, 0.029760509611932957, 0.029754074069501708, 0.029747514622741403, 0.029740718945751043, 0.029733593269553386, 0.029726060982308376, 0.029718061277114467, 0.029709547821478461, 0.029700487436341166, 0.029690858782999006, 0.029680651063717402, 0.029669862746666109, 0.029658500328403808, 0.029646577147903475, 0.029634112265447425, 0.029621129418021967, 0.029607656060470344, 0.029593722498934709, 0.029579361120298717, 0.0295646057186356, 0.029549490917223576, 0.02953405168260444, 0.029518322925481139, 0.029502339181989572, 0.029486134368020001, 0.02946974159876635, 0.029453193065501412, 0.02943651996165304, 0.029419752450539086, 0.029402919667549793, 0.029386049750102283, 0.02936916988928702, 0.029352306397750695, 0.029335484788984442, 0.029318729863790475, 0.029302065800273034, 0.029285516244226626, 0.029269104397276206, 0.029252853100554789, 0.029236784912086197, 0.029220922176378401, 0.029205287085027211, 0.029189901727388095, 0.029174788130600888, 0.029159968288450754, 0.029145464178728035, 0.029131297768909558, 0.029117491010134958, 0.029104065819588732, 0.029091044051534752, 0.029078447457378989, 0.029066297635263676, 0.029054615969822416, 0.029043423562850997, 0.02903274115576918, 0.029022589044868916, 0.029012986990456784, 0.029003954121104229, 0.028995508834313267, 0.028987668694987527, 0.028980450333161267, 0.028973869342487173, 0.028967940181002877, 0.02896267607569683, 0.028958088932364096, 0.028954189252186614, 0.028950986056388569, 0.028948486820203227, 0.028946697417251199, 0.028945622075265406, 0.028945263343912939, 0.028945502507793913, 0.028946219546768303, 0.028947413104411592, 0.028949080925262057, 0.028951219862609359, 0.028953825889237936, 0.028956894110968062, 0.028960418782793668, 0.028964393327377391, 0.028968810355625593, 0.028973661689031514, 0.028978938383443904, 0.02898463075389119, 0.028990728400066858, 0.028997220232062859, 0.029004094495920493, 0.029011338798558883, 0.029018940131631275, 0.029026884893858195, 0.029035158911387207, 0.029043747455734289, 0.029052635258873978, 0.02906180652505851, 0.029071244938969579, 0.0290809336698311, 0.029090855371143611, 0.029100992175742219, 0.029111325685926229, 0.029121836958465101, 0.02913250648435281, 0.029143314163260055, 0.029154239272726444, 0.029165260432242414, 0.029176355562493112, 0.029187501840183212, 0.029198675649025368, 0.029209852527664389, 0.029221007115523976, 0.029232113097803106, 0.029243143151116577, 0.029254068891568272, 0.029264860827362758, 0.029275488318399021, 0.029285919545640724, 0.029296121493413242, 0.029306059948124165, 0.029315699517225003, 0.02932500367250717, 0.029333934822027799, 0.029342454415061447, 0.029350523084438931, 0.029358100830424963, 0.029365147249867173, 0.029371621813679055, 0.029377484194767781, 0.029382694647258897, 0.029387214436288885, 0.029391006315742273, 0.029394035049125414, 0.029396267966354327, 0.029397675546669666, 0.029398232015299959, 0.029397915939018807, 0.029396710803557463, 0.029394605554127557, 0.029391595079269698, 0.029387680618049, 0.029382870071406372, 0.029377178200335138, 0.029370626696501648, 0.029363244114901797, 0.02935506566298493, 0.029346132846149165, 0.029336492975303149, 0.029326198547945544, 0.029315306519560144, 0.029303877486705387, 0.029291974806687267, 0.029279663680920352, 0.029267010229880271, 0.029254080586921027, 0.02924094003627032, 0.029227652217417421, 0.029214278414136055, 0.029200876941845703, 0.029187502642229166, 0.029174206489295054, 0.029161035306666128, 0.029148031591993827, 0.029135233441192041, 0.029122674562724264, 0.029110384370484445, 0.029098388142849103, 0.029086707235171896, 0.029075359333241898, 0.029064358735919903, 0.029053716656188049, 0.029043441531083077, 0.029033539332339191, 0.02902401387095347, 0.029014867090243507, 0.02900609934324104, 0.028997709651423686, 0.028989695942810156, 0.028982055268321125, 0.028974783996041791, 0.028967877983615407, 0.028961332729463454, 0.028955143503879906, 0.028949305461299216, 0.028943813735204754, 0.028938663517241645, 0.028933850122137884, 0.028929369040032925, 0.028925215977772676, 0.028921386890665687, 0.028917878006109978, 0.028914685840405491, 0.028911807209962444, 0.02890923923800914, 0.028906979357793003, 0.028905025313162337, 0.028903375157308436, 0.028902027250347496, 0.028900980256319965, 0.028900233140090249, 0.028899785164537273, 0.028899635888335145], [0.037867979370151419, 0.037868393881582349, 0.03786963705786496, 0.037871707831025898, 0.037874604441277673, 0.037878324467194746, 0.037882864867810284, 0.037888222036495646, 0.03789439186645642, 0.037901369827662561, 0.037909151055028727, 0.037917730447669454, 0.037927102779081116, 0.037937262818151907, 0.037948205460966333, 0.037959925873463786, 0.037972419645130616, 0.037985682954055057, 0.037999712743857286, 0.038014506913233229, 0.038030064519118022, 0.038046385994800709, 0.038063473384703145, 0.03808133059800043, 0.03809996368380713, 0.038119381131312899, 0.038139594199045446, 0.038160617278395238, 0.038182468297701805, 0.03820516917462622, 0.038228746326281371, 0.0382532312487633, 0.038278661180419636, 0.038305079866577198, 0.038332538447718424, 0.03836109649852288, 0.038390823252129315, 0.038421799052922041, 0.038454117092761066, 0.038487885500770709, 0.038523229876847823, 0.03856029638571349, 0.038599255564114712, 0.038640307042271838, 0.038683685447033753, 0.038729667846039512, 0.03877858322075578, 0.038830824638539027, 0.038886865055844308, 0.03894727806681255, 0.039012765477855316, 0.039084194443265649, 0.039162648210852483, 0.039249496590558507, 0.039346495577863204, 0.039455931040942846, 0.039580830685754353, 0.039725284845638274, 0.039894946385822, 0.040097836510626053, 0.040345695914426119, 0.040656358430515703, 0.041058160697688757, 0.041598713243788693, 0.042363901634090956, 0.043523834910998614, 0.045461616588249903, 0.049218294771204416, 0.05861833519762237, 0.098050697120204824, 0.24511831111053409, 0.058525879828522108, 0.040866335358656587, 0.037801510126445191, 0.037027405717555355, 0.036831455430597571, 0.036816835723802774, 0.03686339843678501, 0.036928767392736983, 0.036996738643549763, 0.037061017711887537, 0.037119359394005506, 0.037171244258653834, 0.037216891939738754, 0.037256821722306925, 0.037291651234244182, 0.037322003597466617, 0.037348465675689474, 0.037371570946353877, 0.037391794373559196, 0.037409553109155787, 0.037425209944325764, 0.037439077953840418, 0.037451425535217304, 0.037462481431179105, 0.037472439523450925, 0.03748146329149727, 0.037489689887420144, 0.037497233811008772, 0.037504190188409683, 0.037510637669870138, 0.037516640969438131, 0.037522253073927127, 0.037527517150755627, 0.037532468185018097, 0.037537134375738183, 0.03754153832002699, 0.037545698012071471, 0.037549627681732659, 0.037553338495205792, 0.037556839137818328, 0.037560136296714106, 0.037563235058959726, 0.03756613923855541, 0.037568851643962155, 0.03757137429607825, 0.037573708605112242, 0.037575855513494939, 0.037577815610841177, 0.037579589225995018, 0.03758117650035326, 0.037582577445947146, 0.03758379199115406, 0.03758482001639208, 0.037585661381712321, 0.037586315947828915, 0.037586783591805666, 0.037587064218341626, 0.037587157767354266, 0.037587142253265385, 0.03758709568643194, 0.037587017993052876, 0.037586909049790514, 0.037586768683264542, 0.037586596669338543, 0.037586392732194773, 0.037586156543190398, 0.037585887719487794, 0.037585585822449419, 0.037585250355785901, 0.037584880763444788, 0.037584476427224872, 0.037584036664098687, 0.037583560723224912, 0.037583047782627291, 0.037582496945516769, 0.037581907236228271, 0.037581277595741244, 0.037580606876749106, 0.037579893838238169, 0.037579137139532794, 0.037578335333757054, 0.037577486860658399, 0.037576590038731608, 0.037575643056573946, 0.037574643963394327, 0.037573590658589166, 0.037572480880287772, 0.037571312192756882, 0.037570081972541004, 0.037568787393198584, 0.037567425408477031, 0.037565992733747854, 0.03756448582550076, 0.037562900858667904, 0.037561233701518822, 0.037559479887830961, 0.037557634585999464, 0.037555692564703563, 0.037553648154691033, 0.037551495206180452, 0.037549227041307018, 0.037546836400953812, 0.037544315385211982, 0.037541655386599419, 0.037538847015035834, 0.037535880013418149, 0.037532743162462918, 0.037529424173276017, 0.037525909565872657, 0.03752218453159617, 0.037518232777071822, 0.037514036346976219, 0.037509575422506367, 0.037504828091995575, 0.037499770089660274, 0.037494374497992256, 0.037488611408882037, 0.037482447538248011, 0.037475845788891009, 0.037468764756729951, 0.03746115817689754, 0.037452974309056065, 0.037444155266860596, 0.037434636306667816, 0.037424345108640872, 0.037413201114994236, 0.037401115045171879, 0.0373879888038742, 0.037373716166954306, 0.037358184931263944, 0.037341281759206583, 0.037322901954247006, 0.037302968305673749, 0.037281466844979738, 0.037258514821141793, 0.037234491866395408, 0.037210299800529124, 0.037187896834578446, 0.037171452235937263, 0.037170010440568065, 0.037204185887594672, 0.037325012558098003, 0.037675999020897119, 0.038749382851760356, 0.042894049581244091, 0.069681384653432071, 0.11577997474089366, 0.058211418383201374, 0.046796208478250882, 0.043138794789453594, 0.041484198770932609, 0.040577004630212826, 0.040016454980030466, 0.039641015524705885, 0.039374652468979657, 0.039177398474902238, 0.039026435414633548, 0.038907873224886404, 0.038812812212290611, 0.038735306313271288, 0.038671241839274659, 0.038617687519182917, 0.038572501014288288, 0.038534081709094573, 0.038501210354699007, 0.038472942113978059, 0.038448533461596476, 0.038427391135917512, 0.038409035806224116, 0.038393075775470346, 0.038379187663402738, 0.038367102033225284, 0.038356592577662073, 0.03834746790710062, 0.038339565266765109, 0.038332745702353309, 0.038326890325908976, 0.038321897425995066, 0.038317680231490035, 0.038314165185133538, 0.038311290617034852, 0.038309005733649627, 0.038307269856912046, 0.038306051863174553, 0.038305329783673236, 0.038305090538348158, 0.038305329783673202, 0.038306051863174539, 0.038307269856912046, 0.03830900573364962, 0.038311290617034852, 0.03831416518513351, 0.038317680231490056, 0.038321897425995073, 0.03832689032590901, 0.038332745702353337, 0.038339565266765109, 0.038347467907100585, 0.038356592577662059, 0.038367102033225298, 0.038379187663402745, 0.038393075775470346, 0.038409035806224082, 0.038427391135917442, 0.038448533461596525, 0.038472942113978094, 0.038501210354698993, 0.038534081709094573, 0.038572501014288309, 0.038617687519182924, 0.03867124183927468, 0.038735306313271316, 0.038812812212290611, 0.038907873224886348, 0.039026435414633485, 0.039177398474902259, 0.039374652468979837, 0.03964101552470594, 0.040016454980030577, 0.040577004630213256, 0.041484198770933366, 0.043138794789452303, 0.046796208478247302, 0.058211418383215217, 0.11577997474091127, 0.069681384653474121, 0.042894049581248331, 0.038749382851760758, 0.037675999020896841, 0.037325012558097954, 0.037204185887594665, 0.037170010440568065, 0.037171452235937257, 0.037187896834578453, 0.037210299800529104, 0.037234491866395408, 0.037258514821141793, 0.037281466844979669, 0.037302968305673721, 0.037322901954246993, 0.037341281759206556, 0.037358184931263937, 0.037373716166954306, 0.037387988803874193, 0.037401115045171858, 0.037413201114994202, 0.037424345108640844, 0.037434636306667823, 0.037444155266860589, 0.037452974309056079, 0.037461158176897547, 0.037468764756729951, 0.037475845788891002, 0.037482447538248004, 0.03748861140888203, 0.037494374497992276, 0.037499770089660288, 0.037504828091995554, 0.037509575422506346, 0.037514036346976247, 0.03751823277707185, 0.037522184531596177, 0.03752590956587265, 0.037529424173276017, 0.037532743162462905, 0.037535880013418163, 0.037538847015035862, 0.037541655386599412, 0.037544315385211961, 0.037546836400953812, 0.037549227041307025, 0.037551495206180466, 0.037553648154691047, 0.037555692564703549, 0.037557634585999457, 0.037559479887830954, 0.037561233701518829, 0.037562900858667904, 0.037564485825500746, 0.037565992733747861, 0.037567425408477038, 0.037568787393198598, 0.037570081972540977, 0.037571312192756876, 0.037572480880287744, 0.037573590658589152, 0.037574643963394334, 0.037575643056573953, 0.037576590038731587, 0.037577486860658399, 0.037578335333757033, 0.03757913713953278, 0.037579893838238176, 0.037580606876749106, 0.037581277595741258, 0.037581907236228292, 0.037582496945516776, 0.03758304778262727, 0.037583560723224912, 0.037584036664098729, 0.037584476427224858, 0.037584880763444808, 0.037585250355785901, 0.037585585822449419, 0.037585887719487801, 0.037586156543190384, 0.03758639273219478, 0.037586596669338557, 0.037586768683264528, 0.037586909049790521, 0.03758701799305289, 0.037587095686431954, 0.037587142253265392, 0.037587157767354232, 0.037587150011294583, 0.037587126742656185, 0.037587087960060252, 0.037587033661206991, 0.03758696384287314, 0.037586878500908347, 0.03758677763023037, 0.037586661224819476, 0.037586529277711569, 0.037586381780990274, 0.037586218725777949, 0.037586040102225431, 0.037585845899500869, 0.037585636105776976, 0.037585410708217429, 0.037585169692961773, 0.03758491304510906, 0.037584640748700236, 0.037584352786699013, 0.037584049140971215, 0.037583729792262904, 0.037583394720176654, 0.037583043903146263, 0.037582677318409835, 0.037582294941980995, 0.037581896748618282, 0.037581482711792506, 0.037581052803652218, 0.037580606994986873, 0.0375801452551877, 0.037579667552206444, 0.037579173852511312, 0.037578664121040488, 0.037578138321152664, 0.037577596414574983, 0.037577038361347445, 0.037576464119764487, 0.037575873646312673, 0.037575266895605128, 0.0375746438203119, 0.037574004371086128, 0.037573348496486289, 0.037572676142893238, 0.037571987254423067, 0.037571281772834156, 0.037570559637429245, 0.03756982078495149, 0.037569065149474418, 0.037568292662285223, 0.037567503251761329, 0.037566696843239461, 0.037565873358877025, 0.037565032717505019, 0.037564174834472358, 0.037563299621480799, 0.037562406986409919, 0.037561496833131869, 0.037560569061314615, 0.037559623566214013, 0.037558660238452939, 0.03755767896378779, 0.037556679622860925, 0.037555662090938559, 0.037554626237633636, 0.037553571926612482, 0.037552499015284888, 0.037551407354476651, 0.037550296788084324, 0.037549167152710901, 0.037548018277282921, 0.037546849982647838, 0.037545662081151683, 0.037544454376197529, 0.03754322666178473, 0.037541978722029919, 0.037540710330671065, 0.037539421250556829, 0.037538111233123693, 0.037536780017865298, 0.037535427331798744, 0.037534052888935472, 0.037532656389765169, 0.037531237520764663, 0.037529795953947231, 0.037528331346470496, 0.037526843340328402, 0.037525331562156712, 0.037523795623192024, 0.037522235119432014, 0.037520649632059422, 0.037519038728206278, 0.037517401962156423, 0.037515738877108656, 0.037514049007654787, 0.037512331883168139, 0.037510587032347477, 0.037508813989229471, 0.037507012301063437, 0.037505181538551126, 0.037503321309092126, 0.037501431273852574, 0.037499511169707789, 0.037497560837409349, 0.037495580257723357, 0.037493569597805081, 0.037491529270763491, 0.037489460012284426, 0.037487362979404783, 0.037485239878182232, 0.037483093129243673, 0.03748092608325615, 0.037478743302578686, 0.037476550931209072, 0.037474357183340669, 0.037472172992450634, 0.037470012879420186, 0.037467896122149062, 0.037465848344146485, 0.037463903691432529, 0.0374621078449031, 0.037460522233847972, 0.037459229999789782, 0.037458344548815893, 0.037458021994554253, 0.037458479554543254, 0.037460023238501616, 0.037463090361614167, 0.037468316298356043, 0.037509079616260529, 0.037657346347166047, 0.038325362582116773, 0.043365034313559453, 0.045979044380462152, 0.040205060404842063, 0.038957935868906536, 0.038540712828916301, 0.038372367632648681, 0.038314880370385017, 0.038325880892968227, 0.038394108096930113, 0.038523616474947092, 0.038730867605642531, 0.039047608882208019, 0.039528964481286247, 0.040268691255630013, 0.041424311306655935, 0.043249130100220058, 0.046096496167256085, 0.050263980744746223, 0.055435312367411539, 0.05992121834144562, 0.06128083794775542, 0.058888344503413792, 0.054627592239960561, 0.050523823958216509, 0.047364367136051695, 0.045126395733928321, 0.043570129568332422, 0.042476903938372591, 0.041692621082707187, 0.041116447566004591, 0.040683358304740271, 0.040351034876831546, 0.040091412846055323, 0.039885460148065571, 0.039719969420196378, 0.03958556731995911, 0.039475457941590353, 0.039384613897670881, 0.039309244951512057, 0.039246442012663522, 0.03919393412111833, 0.039149919657754509, 0.03911294724158098, 0.039081830489663023, 0.039055586250133147, 0.03903338936617453, 0.039014539252309396, 0.038998435021155596, 0.038984556867885288, 0.038972452073799221, 0.038961724438634167, 0.038952026263149427, 0.038943052224400428, 0.038934534645589824, 0.038926239780127964, 0.038917964818585241, 0.038909535396241091, 0.038900803433626785, 0.038891645186545205, 0.038881959417912601, 0.038871665632932935, 0.038860702342582834, 0.038849025338831139, 0.038836605978996866, 0.038823429486637417, 0.038809493282858647, 0.038794805365457138, 0.038779382754380545, 0.038763250021164396, 0.038746437917791296, 0.038728982117306229, 0.038710922074929009, 0.038692300014685911, 0.038673160043006971, 0.038653547387506849, 0.038633507756408204, 0.038613086811842542, 0.038592329748594424, 0.038571280968713699, 0.038549983841758916, 0.038528480540192131, 0.038506811939540399, 0.03848501757330873, 0.038463135633190745, 0.038441203005826735, 0.038419255338138246, 0.03839732712408777, 0.038375451806531326, 0.03835366188862456, 0.038331989049994387, 0.038310464263580354, 0.038289117909681911, 0.038267979884313373, 0.038247079699470388, 0.038226446573354542, 0.03820610950899004, 0.038186097360004327, 0.03816643888264265, 0.038147162773346996, 0.038128297691464738, 0.038109872266861251, 0.038091915092408189, 0.038074454701497035, 0.038057519530905227, 0.038041137869507927, 0.038025337793494048, 0.038010147088907119, 0.03799559316249243, 0.037981702941986432, 0.037968502767137091, 0.037956018272888102, 0.037944274266292856, 0.037933294598844425, 0.037923102036010639, 0.037913718125842717, 0.037905163068585421, 0.037897455589239674, 0.03789061281502782, 0.037884650159672149, 0.03787958121632333, 0.037875417660868257, 0.037872169167198641, 0.0378698433358471, 0.037868445637186471, 0.037867979370151419, 0.037868290227255075, 0.037869222212086599, 0.037870773567224403, 0.037872941370322828, 0.037875721544045303, 0.037879108869764602, 0.0378830970048296, 0.037887678503140461, 0.037892844838725549, 0.037898586431964733, 0.037904892678058785, 0.03791175197730564, 0.037919151766708348, 0.03792707855240874, 0.037935517942415765, 0.037944454679074993, 0.037953872670713887, 0.037963755021883878, 0.037974084061618743, 0.037984841369129094, 0.037996007796359872, 0.038007563486852303, 0.038019487890369262, 0.038031759772772372, 0.038044357220671385, 0.038057257640408584, 0.038070437750993308, 0.038083873570663396, 0.038097540396822581, 0.038111412779192042, 0.03812546448611475, 0.038139668464073087, 0.038153996790620856, 0.038168420621091798, 0.038182910129638717, 0.038197434445372734, 0.038211961584620181, 0.03822645838059683, 0.038240890412114099, 0.038255221933283089, 0.038269415806567057, 0.038283433441949753, 0.038297234745428399, 0.038310778080500443, 0.038324020246776634, 0.038336916480306515, 0.038349420480618908, 0.03836148446983717, 0.038373059289488531, 0.038384094540751104, 0.03839453877382723, 0.038404339731846419, 0.03841344465413768, 0.03842180064281784, 0.038429355095379154, 0.038436056204289269, 0.038441853522528407, 0.03844669859148591, 0.038450545624762002, 0.038453352238243421, 0.038455080213457553, 0.038455696277816365, 0.038455172882133667, 0.038453488952963709, 0.038450630595116414, 0.038446591718398329, 0.038441374562443953, 0.038434990094613868, 0.038427458258460938, 0.038418808054216734, 0.038409077438035684, 0.038398313033142006, 0.038386569653237952, 0.038373909646137419, 0.038360402073114495, 0.038346121746414774, 0.038331148153300229, 0.038315564299491518, 0.03829945550765293, 0.038282908207477186, 0.038266008752973785, 0.038248842299875345, 0.038231491771920284, 0.038214036939493004, 0.038196553628116074, 0.038179113068007288, 0.038161781389738109, 0.038144619265296206, 0.03812768168883255, 0.038111017887242436, 0.038094671347586852, 0.038078679946216831, 0.038063076163273556, 0.038047887365897204, 0.038033136143855589, 0.03801884068225006, 0.038005015157320382, 0.037991670143003656, 0.037978813017684195, 0.03796644836238753, 0.037954578343440147, 0.037943203074275227, 0.037932320952567163, 0.037921928970202731, 0.03791202299472976, 0.037902598021870064, 0.037893648399446818, 0.037885168023674365, 0.037877150509209083, 0.037869589334679606, 0.037862477965627424, 0.037855809956908737, 0.037849579036656325, 0.037843779173890493, 0.037838404631812379, 0.037833450008727225, 0.037828910268432388, 0.037824780761780238, 0.037821057240989255, 0.037817735868136443, 0.03781481321912189, 0.037812286284256494, 0.037810152466484954, 0.037808409578124334, 0.037807055836867838, 0.037806089861678882, 0.037805510669082117, 0.037805317670238675], [0.048130516676977347, 0.048131039329233009, 0.048132606839672375, 0.04813521787693887, 0.048138870247497717, 0.048143560933632125, 0.048149286146454251, 0.048156041393762589, 0.048163821562542827, 0.048172621015890496, 0.04818243370413372, 0.048193253289945441, 0.048205073287272547, 0.048217887213971106, 0.048231688758122872, 0.048246471958126119, 0.048262231396808519, 0.048278962410001389, 0.048296661310247992, 0.048315325626609104, 0.048334954361870359, 0.048355548268873172, 0.048377110148179289, 0.048399645169874939, 0.048423161223021947, 0.04844766929711028, 0.048473183900887853, 0.048499723525174301, 0.048527311157767629, 0.048555974860388977, 0.048585748419868333, 0.048616672088579248, 0.04864879343261657, 0.048682168310597282, 0.048716862011500113, 0.048752950587006592, 0.048790522422830947, 0.048829680105176486, 0.048870542653605159, 0.048913248211451522, 0.048957957311139742, 0.049004856866703472, 0.049054165092798294, 0.049106137613299849, 0.049161075110111266, 0.049219332984224193, 0.049281333671530612, 0.049347582498254883, 0.049418688310356493, 0.049495390622833119, 0.049578595796167073, 0.049669425900686952, 0.049769285712300923, 0.04987995609865066, 0.050003726610107893, 0.050143587660236522, 0.05030351564314086, 0.050488907293271892, 0.050707261839876103, 0.050969290729355937, 0.051290798955000397, 0.051696034561882556, 0.052224014724705871, 0.052941372916460526, 0.053970947664426852, 0.055563439204465624, 0.05830853074792669, 0.063920574106782521, 0.079463477390917636, 0.15739470834199371, 0.1479108845169704, 0.058125467992848304, 0.048748103104168695, 0.046950375451981788, 0.046565086170491654, 0.0465472066327371, 0.046635949598117482, 0.046751503701025342, 0.046866932993663159, 0.046973155447106889, 0.047067656249056157, 0.047150422045666357, 0.047222363640126497, 0.047284676950876792, 0.047338581192745324, 0.047385215366148752, 0.047425602706184511, 0.047460644291592427, 0.047491124737500938, 0.047517722391208127, 0.047541020699582999, 0.047561519337585928, 0.047579644551241917, 0.047595758547555551, 0.047610167921890711, 0.047623131172923432, 0.047634865373226719, 0.047645552065549331, 0.047655342451871786, 0.047664361938550531, 0.047672714097500006, 0.04768048410047826, 0.047687741680852928, 0.047694543674462922, 0.047700936188193474, 0.047706956441596997, 0.047712634323363687, 0.047717993700752637, 0.047723053516348896, 0.047727828702812905, 0.04773233094272672, 0.047736569297283322, 0.047740550724458694, 0.047744280504477099, 0.047747762587838485, 0.04775099987892191, 0.047753994466197706, 0.047756747808354358, 0.047759260884155053, 0.047761534312556947, 0.047763568448530636, 0.047765363459084366, 0.047766919383207179, 0.047768236178771836, 0.047769313758870481, 0.047770152019570723, 0.047770750860665137, 0.047771110200629657, 0.047771229986691768, 0.047771210199209518, 0.047771150805259212, 0.047771051710200269, 0.047770912755863905, 0.047770733719898636, 0.047770514314847377, 0.047770254186950523, 0.04776995291466607, 0.047769610006896959, 0.047769224900913371, 0.047768796959955069, 0.047768325470496982, 0.047767809639158602, 0.047767248589233931, 0.047766641356818129, 0.047765986886500113, 0.047765284026589874, 0.04776453152384337, 0.047763728017643892, 0.047762872033593619, 0.047761961976463201, 0.047760996122442216, 0.047759972610623827, 0.047758889433651544, 0.047757744427445507, 0.047756535259916168, 0.047755259418561666, 0.047753914196832108, 0.047752496679129702, 0.047751003724296366, 0.04774943194742156, 0.047747777699781231, 0.047746037046693744, 0.047744205743049835, 0.047742279206240489, 0.047740252486169199, 0.04773812023199004, 0.047735876655163448, 0.047733515488360974, 0.047731029939684019, 0.047728412641579634, 0.047725655593744629, 0.047722750099200004, 0.04771968669259051, 0.047716455059613361, 0.047713043946304767, 0.047709441056703668, 0.047705632937166634, 0.047701604845315188, 0.047697340601251116, 0.047692822418262774, 0.047688030709753859, 0.047682943868541307, 0.047677538013967832, 0.047671786701440642, 0.047665660588007898, 0.047659127046396535, 0.047652149718518437, 0.047644687997780225, 0.047636696427568799, 0.047628124001014377, 0.047618913344560879, 0.047608999765066169, 0.047598310137283821, 0.047586761606023431, 0.047574260075806188, 0.047560698461887131, 0.04754595468284277, 0.047529889391655929, 0.047512343478928659, 0.047493135456538736, 0.047472058976991735, 0.047448881029250226, 0.04742334190700196, 0.047395159135709401, 0.047364039724741999, 0.04732970957905925, 0.047291978361438322, 0.047250878923129028, 0.047206968579910982, 0.04716199769501158, 0.047120463021573827, 0.047093465086920631, 0.047109213498485028, 0.047245545119237724, 0.047750766531623856, 0.049635303396988344, 0.059183680062148275, 0.12811762647948033, 0.088276117345674546, 0.062407810727770067, 0.055774311439663715, 0.053123318790444726, 0.051767480124838242, 0.050964852104492947, 0.050442289529118868, 0.050078789142503237, 0.049813420121443304, 0.049612483551178567, 0.04945595779409151, 0.049331256326432427, 0.049230097012442006, 0.049146820704549316, 0.04907743610376173, 0.049019051148641621, 0.048969520793634383, 0.048927221262288587, 0.048890901022359268, 0.04885957983593809, 0.048832478807261152, 0.04880897093135133, 0.048788545513608443, 0.0487707821697307, 0.048755331567675378, 0.048741900996298174, 0.048730243444288543, 0.048720149269215821, 0.048711439803134346, 0.048703962423502722, 0.048697586744677383, 0.048692201674279546, 0.048687713142319788, 0.048684042357082798, 0.048681124475847999, 0.048678907604248367, 0.048677352058042835, 0.048676429837097544, 0.048676124274721622, 0.048676429837097517, 0.048677352058042835, 0.048678907604248367, 0.048681124475847992, 0.048684042357082763, 0.048687713142319705, 0.048692201674279546, 0.048697586744677397, 0.04870396242350275, 0.048711439803134381, 0.048720149269215821, 0.048730243444288522, 0.048741900996298153, 0.048755331567675371, 0.0487707821697307, 0.048788545513608436, 0.048808970931351295, 0.048832478807261069, 0.048859579835938152, 0.048890901022359316, 0.048927221262288545, 0.048969520793634397, 0.049019051148641649, 0.049077436103761751, 0.049146820704549357, 0.049230097012442055, 0.049331256326432441, 0.049455957794091461, 0.049612483551178491, 0.049813420121443311, 0.05007878914250348, 0.050442289529118944, 0.050964852104493114, 0.051767480124838852, 0.053123318790445975, 0.055774311439661738, 0.062407810727763469, 0.088276117345709212, 0.12811762647946573, 0.059183680062161889, 0.04963530339699021, 0.047750766531624009, 0.047245545119237606, 0.047109213498485028, 0.047093465086920618, 0.047120463021573827, 0.04716199769501158, 0.047206968579911003, 0.047250878923128986, 0.047291978361438287, 0.047329709579059263, 0.047364039724741916, 0.047395159135709339, 0.047423341907001954, 0.047448881029250177, 0.047472058976991728, 0.047493135456538736, 0.047512343478928624, 0.047529889391655866, 0.047545954682842728, 0.047560698461887083, 0.047574260075806195, 0.047586761606023389, 0.047598310137283856, 0.047608999765066183, 0.047618913344560886, 0.047628124001014356, 0.047636696427568806, 0.047644687997780218, 0.047652149718518479, 0.047659127046396563, 0.047665660588007877, 0.047671786701440629, 0.04767753801396786, 0.047682943868541341, 0.047688030709753873, 0.047692822418262767, 0.047697340601251123, 0.047701604845315153, 0.047705632937166634, 0.047709441056703696, 0.047713043946304753, 0.047716455059613368, 0.047719686692590517, 0.047722750099200011, 0.047725655593744636, 0.047728412641579648, 0.047731029939684019, 0.047733515488360946, 0.047735876655163469, 0.047738120231990061, 0.047740252486169192, 0.047742279206240468, 0.047744205743049828, 0.047746037046693751, 0.047747777699781245, 0.047749431947421539, 0.047751003724296352, 0.047752496679129668, 0.047753914196832101, 0.0477552594185617, 0.047756535259916189, 0.047757744427445473, 0.047758889433651523, 0.047759972610623799, 0.047760996122442195, 0.047761961976463214, 0.047762872033593598, 0.047763728017643919, 0.047764531523843398, 0.047765284026589888, 0.047765986886500113, 0.04776664135681815, 0.047767248589233959, 0.047767809639158589, 0.04776832547049701, 0.047768796959955076, 0.047769224900913371, 0.047769610006896959, 0.047769952914666049, 0.047770254186950523, 0.04777051431484737, 0.047770733719898623, 0.047770912755863919, 0.047771051710200289, 0.047771150805259219, 0.047771210199209525, 0.047771229986691727, 0.047771220094208984, 0.047771190416117972, 0.047771140950489621, 0.047771071694106215, 0.047770982642457452, 0.047770873789735116, 0.04777074512882569, 0.047770596651301921, 0.047770428347412394, 0.04777024020606941, 0.047770032214835591, 0.047769804359907984, 0.047769556626101273, 0.04776928899682837, 0.047769001454079564, 0.047768693978399661, 0.047768366548863003, 0.047768019143046347, 0.047767651736999914, 0.04776726430521553, 0.047766856820593159, 0.047766429254404538, 0.047765981576254127, 0.047765513754037772, 0.047765025753898321, 0.047764517540178165, 0.047763989075368857, 0.047763440320057485, 0.047762871232869319, 0.047762281770407033, 0.047761671887186156, 0.047761041535566193, 0.047760390665677617, 0.047759719225344256, 0.047759027160000946, 0.047758314412605841, 0.047757580923547573, 0.047756826630546298, 0.047756051468548853, 0.04775525536961743, 0.047754438262810762, 0.047753600074058704, 0.047752740726028142, 0.047751860137980877, 0.047750958225622323, 0.047750034900940541, 0.047749090072035219, 0.047748123642935202, 0.047747135513404503, 0.04774612557873556, 0.047745093729529085, 0.047744039851459058, 0.047742963825022432, 0.047741865525271904, 0.047740744821530838, 0.047739601577088751, 0.047738435648876108, 0.047737246887116683, 0.047736035134955904, 0.047734800228063527, 0.047733541994208116, 0.047732260252801799, 0.047730954814412474, 0.047729625480241372, 0.047728272041562866, 0.047726894279124042, 0.04772549196250022, 0.047724064849403808, 0.047722612684942024, 0.047721135200820136, 0.047719632114485447, 0.047718103128207748, 0.047716547928091324, 0.047714966183013095, 0.047713357543481216, 0.04771172164040853, 0.047710058083794374, 0.047708366461307966, 0.04770664633676678, 0.047704897248502492, 0.047703118707607649, 0.04770131019605503, 0.047699471164682879, 0.047697601031039344, 0.04769569917707886, 0.047693764946706164, 0.047691797643163135, 0.04768979652625735, 0.04768776080943276, 0.047685689656688894, 0.047683582179358246, 0.047681437432761188, 0.047679254412766679, 0.047677032052299985, 0.04767476921785814, 0.047672464706113596, 0.0476701172407221, 0.047667725469485368, 0.047665287962076072, 0.04766280320860055, 0.047660269619365189, 0.047657685526334675, 0.047655049186927367, 0.047652358791006391, 0.047649612472202417, 0.047646808325080302, 0.047643944430161331, 0.047641018889484847, 0.047638029876303369, 0.047634975703740159, 0.047631854918925201, 0.047628666431443881, 0.047625409688144216, 0.047622084910820303, 0.04761869341957764, 0.047615238073590034, 0.047611723873695902, 0.047608158789670424, 0.047604554901852926, 0.047600929986438043, 0.04759730973298041, 0.047593730872428699, 0.047590245632023687, 0.047586928149025397, 0.047583883818020097, 0.04758126310195044, 0.04757928225582693, 0.047578254967397517, 0.047586751757013532, 0.047643890351743386, 0.047902223440458365, 0.049387771028574667, 0.059303993121556209, 0.053494829330524206, 0.050206620168127152, 0.049303847611665744, 0.048970282437826924, 0.04885111057527463, 0.048849428236990948, 0.048938535638546117, 0.049121551525908039, 0.049423558619329878, 0.049896417906755662, 0.050634749311257436, 0.051808945443870658, 0.053726678002846799, 0.056929679632749475, 0.062262781748991684, 0.070559101575004335, 0.08115903448103795, 0.089880417855510458, 0.091068616496053523, 0.084253676754425827, 0.074772120009039586, 0.066915025075933776, 0.061530364773573605, 0.058026408692296014, 0.055729626180145181, 0.054180403790096948, 0.053099698794178474, 0.052321178544702564, 0.051744113608848376, 0.051305783937223071, 0.050965907707784967, 0.050697811139344899, 0.050483316153854062, 0.050309701388321998, 0.050167844950855967, 0.050051058247614126, 0.04995433478038367, 0.049873854652547886, 0.049806650575554411, 0.049750378268283185, 0.049703155814036566, 0.04966344949741068, 0.049629991563106296, 0.049601720280562124, 0.049577735841918089, 0.049557267656773471, 0.049539649948149696, 0.049524303451568663, 0.049510721629466119, 0.049498460235058377, 0.049487129356683333, 0.049476387286810947, 0.049465935716469039, 0.049455515873656083, 0.049444905315236411, 0.049433915153590018, 0.049422387556961628, 0.049410193409254018, 0.049397230052997211, 0.049383419069745908, 0.049368704076122108, 0.049353048531863182, 0.049336433569190367, 0.049318855861236917, 0.049300325551833342, 0.049280864270341521, 0.049260503254163319, 0.049239281598695429, 0.049217244650490981, 0.049194442554762449, 0.049170928963578081, 0.049146759906512454, 0.049121992821373188, 0.049096685739094939, 0.049070896614055497, 0.04904468278894418, 0.049018100581870235, 0.048991204982571208, 0.048964049444288012, 0.048936685758014686, 0.048909163996318047, 0.04888153251465624, 0.048853837999034991, 0.048826125549847346, 0.048798438792796252, 0.048770820008852085, 0.048743310276212357, 0.048715949618193435, 0.048688777151867917, 0.048661831233067776, 0.048635149594095026, 0.048608769471119501, 0.048582727718807735, 0.048557060910217414, 0.048531805420421355, 0.048506997492702021, 0.048482673286487449, 0.048458868906495103, 0.04843562041281451, 0.048412963811907551, 0.048390935028728911, 0.048369569860391551, 0.048348903912010952, 0.04832897251556767, 0.048309810632830449, 0.048291452743583554, 0.048273932720593729, 0.048257283692942736, 0.048241537899530909, 0.048226726534722236, 0.048212879588250629, 0.04820002568163486, 0.048188191903446843, 0.048177403645851616, 0.048167684444864446, 0.048159055826768549, 0.048151537163085859, 0.048145145536399939, 0.048139895619195981, 0.048135799567695106, 0.048132866932443424, 0.048131104587150697, 0.048130516676977347, 0.048130908632635805, 0.048132083762038785, 0.048134039854987189, 0.048136773236169661, 0.048140278777564854, 0.048144549915547112, 0.048149578672442905, 0.048155355682216495, 0.04816187021989933, 0.048169110234318448, 0.048177062383622349, 0.048185712073053312, 0.048195043494370982, 0.048205039666291777, 0.048215682475278493, 0.048226952715984803, 0.048238830130644894, 0.048251293446680853, 0.04826432041179779, 0.048277887825837695, 0.048291971568670163, 0.048306546623417337, 0.048321587094331132, 0.048337066218678289, 0.048352956372027953, 0.048369229066390344, 0.048385854940720598, 0.048402803743378832, 0.048420044306229898, 0.048437544510177261, 0.048455271242053982, 0.048473190342946615, 0.048491266548207186, 0.048509463419611598, 0.048527743270367331, 0.048546067083945953, 0.048564394428031926, 0.048582683365237085, 0.048600890362631502, 0.048618970202587639, 0.04863687589792446, 0.048654558614869274, 0.0486719676079162, 0.048689050171247132, 0.048705751611970938, 0.048722015251013842, 0.048737782458025548, 0.048752992727118021, 0.048767583800585906, 0.04878149184791284, 0.048794651707296695, 0.0488069971965591, 0.048818461499583368, 0.04882897763328109, 0.048838478998470089, 0.048846900015912333, 0.048854176846087963, 0.048860248188085847, 0.048865056149315078, 0.048868547173687799, 0.048870673011632559, 0.04887139171097523, 0.048870668603619251, 0.048868477259361859, 0.048864800375414304, 0.048859630568569096, 0.04885297103676909, 0.048844836058307903, 0.048835251300170045, 0.048824253912117692, 0.048811892389924436, 0.048798226199369105, 0.048783325161825236, 0.04876726861197999, 0.048750144347786767, 0.048732047401575551, 0.048713078668716166, 0.048693343435860785, 0.048672949854221367, 0.04865200740438292, 0.048630625397820586, 0.048608911556760399, 0.04858697070864252, 0.048564903624666818, 0.04854280602424408, 0.048520767759175777, 0.04849887218354515, 0.048477195708049758, 0.048455807531175711, 0.04843476953442992, 0.048414136324924521, 0.048393955405956576, 0.048374267454782974, 0.048355106686418889, 0.048336501282819952, 0.048318473868049383, 0.048301042011792299, 0.048284218745671563, 0.048268013079090857, 0.048252430503636784, 0.048237473477312678, 0.048223141881972173, 0.048209433449215376, 0.048196344151678637, 0.048183868558071871, 0.048172000151503816, 0.048160731611590374, 0.048150055061588037, 0.048139962282354856, 0.048130444895337861, 0.048121494517047919, 0.048113102887628323, 0.048105261976179564, 0.048097964065485901, 0.048091201818716338, 0.048084968330560987, 0.048079257165120154, 0.048074062382704175, 0.048069378557528374, 0.04806520078810949, 0.04806152470199028, 0.048058346456242088, 0.048055662735019412, 0.048053470745274961, 0.048051768211578257, 0.048050553370824554, 0.048049824967471039, 0.048049582249787809], [0.057409660690108978, 0.057410282379369626, 0.057412146919764179, 0.057415252738235924, 0.057419597243343702, 0.057425176870632644, 0.057431987145938668, 0.057440022766430399, 0.057449277699152014, 0.057459745296810194, 0.057471418430549835, 0.057484289639478152, 0.057498351296744424, 0.057513595792058572, 0.057530015730637166, 0.057547604148709457, 0.057566354745904109, 0.057586262135070843, 0.057607322110374372, 0.057629531934852679, 0.057652890649045205, 0.057677399402805675, 0.057703061813008945, 0.057729884350586548, 0.057757876761182249, 0.057787052524752934, 0.057817429360688607, 0.057849029786530975, 0.05788188174021057, 0.05791601927797406, 0.057951483362944436, 0.057988322762705463, 0.058026595078590822, 0.058066367934763045, 0.058107720361996337, 0.058150744419783615, 0.058195547111552642, 0.058242252662211502, 0.058291005246042735, 0.058341972277634879, 0.058395348411201684, 0.058451360437239468, 0.058510273324227646, 0.058572397733040564, 0.058638099441702791, 0.058707811271073877, 0.058782048317383748, 0.058861427604713731, 0.058946693714965033, 0.059038752605936558, 0.059138716804098018, 0.059247966644264363, 0.05936823453608784, 0.05950172290298586, 0.059651272407926961, 0.059820607071171109, 0.06001470013248017, 0.060240335342057354, 0.060506995709396209, 0.060828323364387163, 0.061224623256402814, 0.061727383620484404, 0.062387962439653395, 0.06329561652030842, 0.06461876855931907, 0.066712424315096594, 0.0704518907104138, 0.078576709124597757, 0.10383617172889827, 0.22930183980462163, 0.10220262125618622, 0.061617833970135892, 0.056356905986151, 0.055371629083522805, 0.055266131729696764, 0.055383600158961217, 0.055553085574282658, 0.055723358917358815, 0.055878877232919663, 0.056015939430985928, 0.056134928052215406, 0.056237557635067513, 0.056325855115759563, 0.056401783883359931, 0.056467117341446924, 0.056523410254160425, 0.056572007152592377, 0.056614063111818852, 0.056650567002445869, 0.056682363500508662, 0.056710172704858494, 0.056734607230763165, 0.056756187007774496, 0.056775352095930376, 0.056792473816885611, 0.056807864448623312, 0.056821785683330142, 0.056834456007719816, 0.056846057135133618, 0.056856739597593464, 0.056866627591276475, 0.056875823158446463, 0.056884409781027358, 0.056892455454579119, 0.056900015305722321, 0.056907133810661703, 0.056913846667216994, 0.056920182367637753, 0.056926163514495171, 0.056931807917163395, 0.056937129501890997, 0.056942139064267511, 0.056946844889048456, 0.056951253258828639, 0.056955368869951832, 0.056959195171303503, 0.056962734639233827, 0.05696598899977235, 0.056968959407498188, 0.056971646588887412, 0.056974050956643124, 0.056976172700394317, 0.056978011858201977, 0.05697956837250534, 0.056980842133460649, 0.056981833012045645, 0.05698254088480683, 0.056982965651699469, 0.056983107248095438, 0.0569830838893483, 0.056983013775826111, 0.056982896795532194, 0.056982732761289352, 0.056982521409962766, 0.05698226240136392, 0.056981955316828814, 0.056981599657460594, 0.056981194842023714, 0.056980740204475994, 0.056980234991120156, 0.056979678357354964, 0.056979069364002932, 0.056978406973186499, 0.056977690043724383, 0.056976917326011324, 0.056976087456343846, 0.056975198950647447, 0.056974250197556482, 0.056973239450790733, 0.056972164820766807, 0.056971024265375175, 0.056969815579843618, 0.056968536385600219, 0.056967184118036647, 0.056965756013061399, 0.05696424909231812, 0.056962660146928593, 0.056960985719602716, 0.056959222084936242, 0.05695736522769522, 0.056955410818858188, 0.056953354189157729, 0.056951190299827009, 0.056948913710217285, 0.056946518541905057, 0.056943998438854483, 0.056941346523136482, 0.056938555345635238, 0.056935616831086514, 0.056932522216693829, 0.05692926198345237, 0.056925825779174877, 0.056922202332052987, 0.056918379353399051, 0.056914343427989789, 0.056910079890167158, 0.056905572683537325, 0.056900804201730729, 0.056895755107235796, 0.056890404124778575, 0.056884727805067689, 0.056878700253939089, 0.056872292820982016, 0.056865473740573852, 0.056858207716842787, 0.056850455442364153, 0.05684217303829741, 0.056833311401104619, 0.056823815437846197, 0.056813623168198109, 0.056802664666625223, 0.056790860812411185, 0.056778121808316706, 0.056764345420369865, 0.056749414881650084, 0.056733196392112564, 0.056715536135258121, 0.056696256722636902, 0.056675152972880928, 0.056651986941797239, 0.056626482161685483, 0.056598317157543647, 0.056567118559237052, 0.05653245467607592, 0.056493831570817214, 0.05645069617812222, 0.056402456470886188, 0.056348540882259976, 0.05628854752805356, 0.056222602879373147, 0.05615222888250259, 0.056082520962442511, 0.056028000669524826, 0.056030016336283607, 0.056216670300383555, 0.057059628852377108, 0.060925069001196507, 0.087552176726873376, 0.1349785728978701, 0.081057310884622397, 0.068436996718529611, 0.064149169222169622, 0.06214374363226903, 0.061018408946523051, 0.060310734104323867, 0.059830102639721709, 0.059485225097284149, 0.059227428728851311, 0.059028587936887561, 0.058871401137183296, 0.058744679335066163, 0.058640884436325903, 0.058554761847923464, 0.05848254142313658, 0.058421450161389291, 0.058369404006906184, 0.058324806700137045, 0.058286414859206256, 0.058253245291838014, 0.058224509964523254, 0.058199569522538734, 0.058177899523296786, 0.058159065554097326, 0.058142704670065624, 0.058128511402093554, 0.058116227119068803, 0.058105631885969178, 0.058096538202223671, 0.058088786172324908, 0.058082239778038003, 0.058076784004969434, 0.058072322636487386, 0.058068776572275979, 0.058066082562082205, 0.058064192270905708, 0.058063071612363792, 0.058062700303927586, 0.058063071612363744, 0.05806419227090568, 0.058066082562082247, 0.058068776572275979, 0.058072322636487372, 0.058076784004969378, 0.058082239778038017, 0.058088786172324942, 0.05809653820222372, 0.058105631885969226, 0.058116227119068789, 0.058128511402093505, 0.058142704670065576, 0.058159065554097319, 0.058177899523296786, 0.058199569522538748, 0.058224509964523198, 0.05825324529183791, 0.05828641485920634, 0.058324806700137101, 0.058369404006906142, 0.058421450161389291, 0.058482541423136608, 0.058554761847923485, 0.058640884436325959, 0.058744679335066226, 0.05887140113718331, 0.059028587936887492, 0.059227428728851179, 0.059485225097284163, 0.059830102639722021, 0.060310734104323957, 0.0610184089465233, 0.062143743632269939, 0.064149169222171509, 0.068436996718526225, 0.081057310884607603, 0.13497857289792575, 0.087552176726862205, 0.060925069001201662, 0.057059628852377899, 0.056216670300383603, 0.0560300163362836, 0.056028000669524847, 0.056082520962442477, 0.05615222888250259, 0.056222602879373147, 0.056288547528053588, 0.056348540882259907, 0.056402456470886167, 0.056450696178122248, 0.05649383157081711, 0.056532454676075865, 0.056567118559237031, 0.056598317157543619, 0.056626482161685462, 0.056651986941797253, 0.056675152972880893, 0.056696256722636847, 0.056715536135258093, 0.05673319639211253, 0.05674941488165007, 0.056764345420369837, 0.056778121808316734, 0.056790860812411213, 0.056802664666625244, 0.056813623168198102, 0.056823815437846183, 0.056833311401104598, 0.056842173038297465, 0.056850455442364146, 0.05685820771684276, 0.056865473740573831, 0.056872292820982051, 0.056878700253939124, 0.056884727805067703, 0.056890404124778561, 0.056895755107235789, 0.056900804201730708, 0.056905572683537353, 0.056910079890167171, 0.056914343427989761, 0.056918379353399037, 0.05692220233205296, 0.056925825779174877, 0.056929261983452363, 0.056932522216693843, 0.056935616831086514, 0.056938555345635203, 0.056941346523136496, 0.056943998438854476, 0.056946518541905085, 0.056948913710217236, 0.056951190299827009, 0.056953354189157722, 0.056955410818858215, 0.056957365227695192, 0.056959222084936242, 0.056960985719602675, 0.056962660146928593, 0.05696424909231812, 0.056965756013061419, 0.056967184118036633, 0.056968536385600212, 0.056969815579843604, 0.056971024265375154, 0.056972164820766821, 0.056973239450790733, 0.056974250197556503, 0.056975198950647475, 0.056976087456343853, 0.056976917326011317, 0.056977690043724404, 0.056978406973186534, 0.056979069364002904, 0.056979678357354992, 0.056980234991120163, 0.056980740204475994, 0.056981194842023714, 0.05698159965746058, 0.056981955316828821, 0.056982262401363913, 0.056982521409962753, 0.056982732761289366, 0.056982896795532208, 0.056983013775826138, 0.056983083889348307, 0.056983107248095397, 0.056983095570211459, 0.05698306053580459, 0.056983002142609013, 0.056982920386845021, 0.056982815263214456, 0.056982686764894014, 0.056982534883526371, 0.0569823596092097, 0.056982160930485144, 0.056981938834321913, 0.056981693306100707, 0.056981424329594639, 0.056981131886948408, 0.056980815958654681, 0.056980476523528591, 0.056980113558679518, 0.056979727039480718, 0.056979316939535993, 0.056978883230643942, 0.056978425882759226, 0.056977944863951129, 0.056977440140358854, 0.056976911676143736, 0.056976359433437915, 0.056975783372289979, 0.056975183450606211, 0.056974559624088407, 0.05697391184616752, 0.056973240067932869, 0.056972544238056699, 0.056971824302714025, 0.056971080205497376, 0.056970311887325903, 0.05696951928634874, 0.056968702337842486, 0.056967860974101746, 0.056966995124323155, 0.056966104714481484, 0.056965189667198511, 0.056964249901602919, 0.056963285333181436, 0.056962295873620589, 0.056961281430637778, 0.056960241907801842, 0.056959177204341453, 0.056958087214941222, 0.056956971829524396, 0.056955830933020743, 0.056954664405119176, 0.056953472120003554, 0.056952253946070772, 0.056951009745629215, 0.056949739374576716, 0.056948442682055928, 0.056947119510085832, 0.056945769693166844, 0.056944393057858464, 0.056942989422325681, 0.056941558595853529, 0.056940100378325642, 0.056938614559664674, 0.05693710091923114, 0.056935559225177242, 0.056933989233752064, 0.056932390688553762, 0.05693076331972452, 0.056929106843082902, 0.056927420959189019, 0.05692570535233539, 0.056923959689458556, 0.056922183618963097, 0.056920376769450901, 0.056918538748347375, 0.056916669140415266, 0.05691476750614545, 0.056912833380014682, 0.056910866268597114, 0.056908865648517284, 0.056906830964229368, 0.056904761625607529, 0.056902657005330023, 0.05690051643603819, 0.05689833920724998, 0.056896124562006711, 0.056893871693228057, 0.056891579739750835, 0.056889247782023068, 0.056886874837425112, 0.056884459855185206, 0.056882001710858936, 0.056879499200336768, 0.056876951033346446, 0.056874355826415902, 0.056871712095262511, 0.056869018246579875, 0.056866272569194944, 0.056863473224580567, 0.05686061823671637, 0.056857705481312158, 0.05685473267443289, 0.056851697360599376, 0.056848596900492335, 0.056845428458454084, 0.056842188990082365, 0.056838875230340112, 0.056835483682788152, 0.056832010610795819, 0.056828452031922314, 0.056824803717128385, 0.056821061197116274, 0.056817219778975588, 0.056813274577528008, 0.05680922056745441, 0.056805052664640872, 0.056800765848487707, 0.056796355341588826, 0.056791816869825887, 0.056787147035424118, 0.05678234384925035, 0.056777407488659164, 0.056772341376688608, 0.056767153722333784, 0.056761859727828323, 0.056756484769949239, 0.056751069018918174, 0.056745674204744953, 0.056740393634888732, 0.056735367209404863, 0.056724484985597026, 0.056733862230564758, 0.056824499678393522, 0.057310444520795908, 0.060669190058558024, 0.069182045586492547, 0.061835208373479562, 0.059595490128986149, 0.058873395936524825, 0.058615966017685664, 0.058575558427004223, 0.058685298131449258, 0.058942268514966228, 0.059384801245877521, 0.060100326380675591, 0.061258743651766499, 0.06318874031204727, 0.066538416852940652, 0.072569871143531459, 0.083422667575975301, 0.1010226766368644, 0.12246907016847722, 0.13801478365316694, 0.13810226526580666, 0.12129190373908813, 0.10017458130936534, 0.084923339903494044, 0.075774090443538389, 0.070390762174865673, 0.067099558020712963, 0.064982154573028472, 0.063552228325684967, 0.062545229557305154, 0.061810818539740672, 0.061259553916488615, 0.06083588578981889, 0.060503947434961854, 0.060239766183770457, 0.060026819261400979, 0.05985340222663435, 0.059711017120495077, 0.059593354580837067, 0.059495633163818333, 0.059414159849406248, 0.059346031204375801, 0.059288926200459183, 0.059240960105148024, 0.059200579908093645, 0.059166488528483982, 0.059137589304912253, 0.059112944993790946, 0.059091747278866034, 0.059073293973007437, 0.059056971888721999, 0.059042243899767845, 0.059028639097986897, 0.059015745221929795, 0.059003202732814036, 0.058990700062318761, 0.058977969671108063, 0.058964784646871486, 0.058950955642615668, 0.058936328014115941, 0.058920779062506194, 0.058904215325693565, 0.058886569891804109, 0.058867799730147732, 0.058847883051038337, 0.058826816716058009, 0.058804613725845153, 0.058781300814098318, 0.05875691617509346, 0.058731507348448807, 0.058705129279916557, 0.058677842571301236, 0.058649711926760925, 0.0586208047971623, 0.058591190219150172, 0.058560937841338777, 0.058530117126638526, 0.058498796717212052, 0.058467043946866221, 0.058434924484747595, 0.058402502093914864, 0.058369838488590439, 0.058336993274534663, 0.058304023957918602, 0.058270986009209942, 0.058237932969833983, 0.058204916590669543, 0.058171986992728894, 0.058139192841609733, 0.058106581528477134, 0.058074199351403955, 0.058042091691873521, 0.058010303182115766, 0.057978877859715852, 0.057947859306609076, 0.057917290770161785, 0.057887215264550616, 0.057857675651098436, 0.05782871469661801, 0.057800375109162874, 0.057772699550897158, 0.057745730628088028, 0.057719510858488171, 0.057694082616637214, 0.057669488057856023, 0.057645769021951759, 0.057622966917888534, 0.057601122590917299, 0.05758027617388406, 0.057560466924660735, 0.057541733051855018, 0.057524111531150501, 0.05750763791480451, 0.057492346136982453, 0.057478268317721966, 0.057465434568407088, 0.057453872801664523, 0.057443608548590694, 0.057434664786157504, 0.057427061777533685, 0.057420816927897245, 0.057415944658092972, 0.05741245629822922, 0.057410360002992877, 0.057409660690108978, 0.057410126917104981, 0.05741152472264674, 0.057413851483389837, 0.057417102837027445, 0.057421272697038173, 0.057426353273026198, 0.057432335096353475, 0.057439207050680133, 0.057446956406954644, 0.057455568862323649, 0.057465028582364089, 0.057475318245981059, 0.057486419092262049, 0.057498310968529975, 0.057510972378801928, 0.05752438053182387, 0.057538511387834772, 0.057553339703192222, 0.057568839071987843, 0.057584981963781506, 0.057601739756591948, 0.057619082764302915, 0.057636980257668752, 0.057655400478147018, 0.057674310643831939, 0.057693676946825652, 0.057713464541462228, 0.057733637522889951, 0.057754158895626684, 0.05777499053183599, 0.057796093119222618, 0.057817426098629485, 0.057838947591630968, 0.057860614318659749, 0.057882381508497338, 0.057904202800282613, 0.057926030139573113, 0.057947813670420872, 0.057969501625906951, 0.057991040220114275, 0.058012373545107944, 0.058033443477129944, 0.058054189596893596, 0.058074549129569275, 0.058094456910767804, 0.058113845385525623, 0.058132644647941337, 0.058150782529666233, 0.05816818474585627, 0.058184775107391902, 0.058200475808094024, 0.058215207795233252, 0.058228891230770442, 0.058241446049398557, 0.058252792617515675, 0.058262852494694109, 0.058271549295995075, 0.05827880964962761, 0.058284564240019314, 0.058288748921473968, 0.058291305882413248, 0.058292184834977862, 0.058291344199808172, 0.058288752251480523, 0.058284388186734794, 0.058278243075670241, 0.058270320655868284, 0.058260637931192912, 0.058249225540996159, 0.058236127871627935, 0.058221402890371032, 0.05820512169184705, 0.058187367758078243, 0.058168235945087715, 0.058147831220447761, 0.058126267186788691, 0.058103664435238164, 0.058080148779480804, 0.058055849425181702, 0.058030897130688666, 0.058005422413234663, 0.057979553850529664, 0.057953416521082997, 0.057927130618385121, 0.057900810264832729, 0.057874562541649001, 0.057848486741634106, 0.057822673842895904, 0.057797206194148909, 0.057772157396002527, 0.057747592358011642, 0.057723567508146827, 0.057700131129671678, 0.05767732380002704, 0.057655178907008754, 0.057633723219053662, 0.057612977488590941, 0.057592957069943003, 0.057573672535995254, 0.057555130280620773, 0.057537333096529329, 0.057520280720712878, 0.057503970341920063, 0.057488397066576546, 0.057473554341260231, 0.057459434331245986, 0.057446028255765752, 0.057433326681511639, 0.057421319776568586, 0.057409997527430021, 0.057399349922053131, 0.057389367102079883, 0.057380039487409183, 0.057371357876283786, 0.057363313523962053, 0.057355898202911385, 0.057349104247284885, 0.057342924584252379, 0.057337352754547682, 0.057332382924382565, 0.057328009890661467, 0.057324229081221562, 0.057321036551612296, 0.057318428979731814, 0.057316403659440809, 0.05731495849408836, 0.057314091990706306, 0.057313803255451226], [0.065520619923363776, 0.065521327709665664, 0.065523450469474762, 0.065526986415940264, 0.065531932605738918, 0.065538284991093348, 0.065546038492355643, 0.065555187090934358, 0.065565723942299023, 0.065577641508774334, 0.065590931711838676, 0.065605586103661934, 0.06562159605767344, 0.065638952978040496, 0.065657648528062787, 0.065677674877654871, 0.065699024970311465, 0.065721692810219487, 0.065745673770516683, 0.065770964924104974, 0.065797565398915431, 0.065825476760112828, 0.065854703422425609, 0.065885253096634941, 0.065917137275260107, 0.065950371763690369, 0.065984977264477288, 0.066020980024271939, 0.066058412555054416, 0.066097314443954933, 0.066137733269231821, 0.066179725644041093, 0.066223358414700617, 0.066268710046546289, 0.066315872238566359, 0.066364951818331186, 0.06641607298199706, 0.066469379961342986, 0.066525040222204609, 0.066583248328125677, 0.066644230642120189, 0.066708251091700727, 0.066775618292912148, 0.066846694425394246, 0.066921906383246091, 0.067001759911615444, 0.067086857700386998, 0.067177922780510879, 0.067275829111828389, 0.067381642052730617, 0.067496672604864152, 0.067622551165809508, 0.067761329395408465, 0.06791562339131986, 0.068088818891881939, 0.068285371908163181, 0.0685112602660186, 0.068774681382335515, 0.069087166515415382, 0.069465429410012797, 0.069934574849734032, 0.070533976268424725, 0.071328774025795363, 0.072434286319983998, 0.074073550546180353, 0.076733156182885134, 0.081675239656711238, 0.093177438265145213, 0.13356808513693122, 0.23786466511676072, 0.086423210670166242, 0.066251284426657217, 0.063287825149685603, 0.062843482012143431, 0.06293925978585134, 0.063157274949804248, 0.063387518122711331, 0.063599201761672164, 0.063785158443219969, 0.063945693346354651, 0.064083356405225722, 0.064201156485264255, 0.064301957216714445, 0.064388298173699232, 0.064462369941232861, 0.064526041450172711, 0.064580901126005771, 0.06462829780850976, 0.064669376966171116, 0.064705111401035686, 0.064736326930173463, 0.064763723868060091, 0.064787895112997249, 0.06480934150640813, 0.06482848498509361, 0.064845679918654059, 0.06486122292578804, 0.064875361391997094, 0.064888300861829132, 0.064900211445303738, 0.064911233355547257, 0.064921481679061976, 0.064931050468725854, 0.064940016240750298, 0.064948440949298802, 0.06495637450564945, 0.064963856902369721, 0.064970919996828386, 0.064977589002497421, 0.06498388373092151, 0.064989819622009753, 0.064995408595471649, 0.065000659751810519, 0.065005579947313083, 0.065010174263930076, 0.065014446391817762, 0.065018398939576116, 0.06502203368484713, 0.065025351775892234, 0.065028353893016089, 0.065031040377209262, 0.065033411332112157, 0.065035466704327222, 0.065037206346193074, 0.065038630064363417, 0.065039737656876109, 0.065040528940837256, 0.065041003772360481, 0.065041162059977953, 0.06504113594625692, 0.065041057563353807, 0.065040926785875433, 0.065040743404254725, 0.065040507123879626, 0.065040217563864258, 0.065039874255455488, 0.065039476640062599, 0.065039024066897003, 0.065038515790205489, 0.065037950966077188, 0.065037328648801601, 0.065036647786751778, 0.065035907217761285, 0.065035105663963394, 0.065034241726050615, 0.065033313876913454, 0.06503232045460762, 0.065031259654595497, 0.065030129521198812, 0.065028927938192996, 0.065027652618465839, 0.065026301092651298, 0.065024870696640744, 0.065023358557860775, 0.065021761580192947, 0.065020076427395795, 0.065018299504870841, 0.065016426939595695, 0.065014454558022877, 0.065012377861717777, 0.065010192000479028, 0.06500789174264969, 0.065005471442288743, 0.065002925002826117, 0.065000245836772386, 0.064997426820992812, 0.064994460246984465, 0.064991337765513177, 0.064988050324870886, 0.064984588101901247, 0.064980940424809591, 0.064977095686619038, 0.064973041247951113, 0.064968763327594506, 0.064964246879068335, 0.064959475451083409, 0.064954431029441165, 0.064949093857476062, 0.064943442231625834, 0.064937452268086282, 0.064931097635748142, 0.064924349249693536, 0.06491717491840869, 0.064909538936503572, 0.064901401613048956, 0.064892718723581766, 0.064883440871279688, 0.064873512739653513, 0.064862872215182055, 0.064851449353428806, 0.064839165156070258, 0.064825930118618674, 0.064811642499043837, 0.064796186245501722, 0.064779428506408235, 0.064761216627539198, 0.064741374518123132, 0.064719698240744417, 0.064695950648796505, 0.064669854862689974, 0.064641086348846064, 0.064609263360080771, 0.064573935549400788, 0.064534570763749771, 0.064490540542039704, 0.064441106091197617, 0.064385409430904997, 0.064322481196632156, 0.064251292730024459, 0.064170919726772413, 0.064080986977635146, 0.063982845403217539, 0.063882777288368539, 0.063801355858712494, 0.063804070154755949, 0.064120491913631408, 0.065750696146978385, 0.075199139011581762, 0.14149921717216415, 0.10703420347588181, 0.08164911447254361, 0.074524125808162645, 0.071553962308631036, 0.06999478250819996, 0.069054708226506903, 0.068434168304962337, 0.06799784430066283, 0.067676560025459714, 0.067431582552735056, 0.067239659825760995, 0.067086043623014582, 0.066960953272986456, 0.066857659135875713, 0.066771385197150784, 0.066698651120253166, 0.06663686208860993, 0.066584044414284893, 0.066538670093887406, 0.066499537403118397, 0.066465687805958407, 0.06643634699435251, 0.066410882327092149, 0.066388771642718655, 0.066369580108514112, 0.06635294284411393, 0.066338551759471495, 0.066326145512327364, 0.066315501804616692, 0.066306431452882703, 0.06629877381796892, 0.066292393285491691, 0.066287176564920502, 0.066283030630944637, 0.066279881172545879, 0.066277671447233538, 0.066276361463278033, 0.066275927433651349, 0.066276361463277991, 0.06627767144723351, 0.066279881172545893, 0.066283030630944637, 0.066287176564920461, 0.066292393285491621, 0.06629877381796892, 0.066306431452882689, 0.066315501804616706, 0.06632614551232742, 0.066338551759471509, 0.066352942844113888, 0.066369580108514084, 0.066388771642718669, 0.066410882327092163, 0.066436346994352483, 0.066465687805958323, 0.066499537403118258, 0.066538670093887489, 0.066584044414284962, 0.066636862088609861, 0.066698651120253166, 0.066771385197150826, 0.066857659135875755, 0.066960953272986512, 0.067086043623014652, 0.067239659825761008, 0.067431582552734959, 0.067676560025459589, 0.067997844300662857, 0.068434168304962739, 0.069054708226507028, 0.069994782508200265, 0.071553962308632341, 0.074524125808165559, 0.081649114472537365, 0.10703420347585182, 0.14149921717210548, 0.075199139011578098, 0.065750696146980425, 0.064120491913631741, 0.063804070154755949, 0.06380135585871255, 0.063882777288368567, 0.063982845403217511, 0.064080986977635146, 0.064170919726772413, 0.064251292730024473, 0.064322481196632073, 0.064385409430904955, 0.064441106091197631, 0.064490540542039565, 0.064534570763749716, 0.06457393554940076, 0.064609263360080715, 0.064641086348846036, 0.06466985486268996, 0.064695950648796505, 0.064719698240744361, 0.064741374518123063, 0.064761216627539128, 0.064779428506408249, 0.06479618624550168, 0.064811642499043851, 0.064825930118618674, 0.064839165156070286, 0.064851449353428806, 0.064862872215182027, 0.064873512739653486, 0.064883440871279716, 0.064892718723581752, 0.064901401613048942, 0.064909538936503558, 0.064917174918408732, 0.064924349249693564, 0.06493109763574817, 0.064937452268086296, 0.06494344223162582, 0.064949093857476034, 0.064954431029441179, 0.064959475451083451, 0.064964246879068321, 0.064968763327594478, 0.064973041247951099, 0.064977095686619024, 0.064980940424809605, 0.064984588101901261, 0.064988050324870872, 0.064991337765513135, 0.064994460246984478, 0.064997426820992812, 0.065000245836772413, 0.06500292500282609, 0.065005471442288756, 0.065007891742649704, 0.065010192000479056, 0.065012377861717735, 0.065014454558022849, 0.065016426939595653, 0.065018299504870841, 0.065020076427395823, 0.06502176158019296, 0.065023358557860733, 0.06502487069664073, 0.065026301092651256, 0.065027652618465812, 0.065028927938192996, 0.065030129521198798, 0.065031259654595525, 0.065032320454607676, 0.065033313876913454, 0.065034241726050615, 0.065035105663963408, 0.065035907217761327, 0.06503664778675175, 0.065037328648801629, 0.065037950966077174, 0.065038515790205462, 0.065039024066897003, 0.065039476640062585, 0.065039874255455474, 0.065040217563864272, 0.065040507123879598, 0.065040743404254753, 0.065040926785875447, 0.065041057563353849, 0.065041135946256934, 0.065041162059977897, 0.06504114900478887, 0.06504110983842043, 0.065041044558467903, 0.065040953160919762, 0.0650408356401527, 0.065040691988924246, 0.065040522198363107, 0.065040326257957734, 0.065040104155542469, 0.065039855877281436, 0.065039581407650135, 0.065039280729414742, 0.065038953823609302, 0.065038600669509616, 0.065038221244605454, 0.065037815524569539, 0.065037383483224326, 0.065036925092505041, 0.06503644032242091, 0.065035929141012055, 0.065035391514304319, 0.065034827406259779, 0.065034236778724247, 0.065033619591370662, 0.065032975801639012, 0.065032305364671764, 0.065031608233244803, 0.06503088435769433, 0.065030133685838418, 0.065029356162893417, 0.065028551731385373, 0.065027720331055028, 0.065026861898757227, 0.065025976368353264, 0.065025063670597016, 0.065024123733012987, 0.065023156479766836, 0.065022161831527397, 0.065021139705319891, 0.065020090014369508, 0.065019012667934487, 0.065017907571128852, 0.065016774624732862, 0.065015613724991317, 0.065014424763397943, 0.06501320762646598, 0.065011962195482803, 0.065010688346248027, 0.065009385948793671, 0.065008054867085024, 0.065006694958700983, 0.065005306074491828, 0.065003888058212694, 0.065002440746131554, 0.06500096396660858, 0.064999457539645353, 0.064997921276401527, 0.064996354978675175, 0.064994758438345554, 0.064993131436773627, 0.064991473744157466, 0.064989785118838836, 0.064988065306556, 0.064986314039639337, 0.064984531036143239, 0.064982715998910187, 0.064980868614559692, 0.064978988552396505, 0.064977075463229561, 0.064975128978094876, 0.064973148706872555, 0.0649711342367882, 0.064969085130788751, 0.064967000925780019, 0.064964881130713137, 0.06496272522450576, 0.064960532653781794, 0.064958302830412304, 0.064956035128838144, 0.064953728883152817, 0.064951383383922659, 0.064948997874717071, 0.06494657154832105, 0.064944103542598081, 0.064941592935967671, 0.064939038742459723, 0.064936439906302407, 0.06493379529599716, 0.064931103697828174, 0.064928363808751041, 0.064925574228596739, 0.064922733451524051, 0.064919839856646094, 0.064916891697749682, 0.064913887092022379, 0.064910824007691756, 0.064907700250480996, 0.064904513448774848, 0.064901261037389829, 0.064897940239841787, 0.064894548049004505, 0.064891081206065002, 0.064887536177694119, 0.064883909131381992, 0.064880195908929961, 0.064876391998158284, 0.064872492502988252, 0.064868492112199611, 0.064864385067370425, 0.064860165130800368, 0.06485582555463365, 0.064851359052983018, 0.064846757779688305, 0.064842013315510608, 0.064837116670222253, 0.064832058307398771, 0.064826828203069398, 0.064821415954164699, 0.064815810959589382, 0.064810002706715664, 0.064803981210635214, 0.064797737674889, 0.064791265474125878, 0.064784561606709021, 0.064777628837392548, 0.064770478860841835, 0.064763136988861075, 0.064755649135831594, 0.064733339364123149, 0.064717088145669593, 0.064731763207834261, 0.064886610523970711, 0.065815492812048723, 0.0722589118676909, 0.075694913507916739, 0.06999144718314862, 0.06820961922888269, 0.067606529972664031, 0.06745658010711765, 0.067575789302571479, 0.067938178890920214, 0.068603183712599422, 0.069727389068753906, 0.071640321981740585, 0.075037162285291059, 0.081422181898293144, 0.093863929394580284, 0.11618505516206534, 0.14331317633704796, 0.16008880317105992, 0.17174134397475641, 0.18469812702129046, 0.17358011803132956, 0.13518638989841986, 0.10581552466137972, 0.090240315083241679, 0.082070597461220016, 0.077461802693836193, 0.074652009521187931, 0.072822220770085933, 0.071565644078830523, 0.070665470909549999, 0.069998554006850192, 0.069490986178335601, 0.069096270258745124, 0.068783945793087498, 0.06853334792797687, 0.068330022687469738, 0.068163583873364492, 0.068026385936566736, 0.067912676274450245, 0.067818038757195484, 0.06773901952162957, 0.067672869946502512, 0.067617366820012861, 0.067570684492103461, 0.067531302743248228, 0.067497939638095986, 0.067469502136756704, 0.067445049499162621, 0.067423766006180552, 0.067404940517659578, 0.067387951066960966, 0.067372253163550749, 0.067357370810156816, 0.067342889484211424, 0.067328450514432384, 0.067313746421794954, 0.067298516902400005, 0.067282545216006601, 0.067265654813461195, 0.067247706092244744, 0.067228593214036347, 0.067208240953030685, 0.067186601569917334, 0.067163651724941639, 0.067139389455335957, 0.067113831248662686, 0.067087009245304807, 0.067058968601529739, 0.067029765040231393, 0.066999462610550259, 0.066968131670864767, 0.066935847102795737, 0.066902686757360594, 0.066868730128615661, 0.06683405724524083, 0.066798747766657923, 0.066762880267444341, 0.066726531691947991, 0.066689776960022609, 0.066652688704563132, 0.066615337121877616, 0.066577789916758195, 0.066540112325264938, 0.066502367199614651, 0.066464615141058794, 0.066426914668172563, 0.066389322409497256, 0.066351893310928556, 0.066314680849607538, 0.066277737247314519, 0.066241113677492164, 0.066204860461024861, 0.066169027246780698, 0.066133663173694679, 0.06609881701183902, 0.06606453728050711, 0.066030872341843433, 0.065997870468994024, 0.065965579888142722, 0.065934048794151656, 0.065903325339848551, 0.06587345759930191, 0.065844493505716251, 0.06581648076485698, 0.065789466745186792, 0.065763498346164642, 0.06573862184642712, 0.065714882733827237, 0.065692325519562444, 0.065670993538862368, 0.065650928740931327, 0.065632171471039197, 0.065614760247828058, 0.065598731539032895, 0.065584119538913632, 0.065570955950732632, 0.065559269777608328, 0.065549087125006206, 0.065540431018001222, 0.065533321236261752, 0.065527774169451256, 0.065523802695447039, 0.065521416083413345, 0.065520619923363776, 0.06552115071764758, 0.065522742105278212, 0.065525391104024416, 0.065529092754884277, 0.065533840138985069, 0.065539624400891519, 0.065546434777978418, 0.065554258635427382, 0.065563081506322923, 0.065572887136240043, 0.065583657531638598, 0.065595373011312158, 0.065608012260078341, 0.065621552383842235, 0.065635968965123165, 0.065651236118094272, 0.065667326542163493, 0.065684211573100074, 0.065701861230706884, 0.065720244262038166, 0.065739328179171858, 0.065759079290570219, 0.06577946272508961, 0.06580044244774888, 0.065821981266419347, 0.065844040828669015, 0.06586658160808162, 0.065889562879475311, 0.065912942682566672, 0.06593667777377836, 0.065960723566058976, 0.06598503405679218, 0.066009561744113529, 0.066034257532231064, 0.066059070626676569, 0.066083948420789157, 0.066108836375162267, 0.066133677892279377, 0.066158414189113279, 0.066182984171080442, 0.066207324311419749, 0.066231368540800112, 0.066255048152744245, 0.066278291731272754, 0.066301025108002995, 0.06632317135674691, 0.066344650834407673, 0.066365381277624244, 0.066385277965095843, 0.066404253955764825, 0.066422220412968497, 0.06643908702419421, 0.066454762525105918, 0.066469155334955565, 0.066482174308279254, 0.066493729604836904, 0.066503733676064283, 0.066512102361871217, 0.066518756086512851, 0.066523621136610922, 0.066526630998413702, 0.066527727725337188, 0.066526863301083164, 0.066524000958582477, 0.066519116411121446, 0.066512198949711485, 0.066503252360478785, 0.066492295617893937, 0.06647936331423375, 0.066464505792785289, 0.066447788961793111, 0.066429293777616027, 0.066409115398429391, 0.06638736202332135, 0.066364153444942536, 0.066339619356101942, 0.066313897461022786, 0.066287131449698999, 0.066259468898427779, 0.06623105916089711, 0.066202051312198015, 0.066172592203082539, 0.066142824674190873, 0.066112885970468036, 0.066082906385314083, 0.066053008152909418, 0.066023304596321428, 0.065993899529024402, 0.065964886898801062, 0.065936350655944276, 0.065908364822386475, 0.065880993734856633, 0.065854292433297698, 0.065828307165383751, 0.06580307597880454, 0.065778629374777534, 0.065754990998731805, 0.065732178347028367, 0.065710203471728929, 0.065689073668604686, 0.065668792136651472, 0.065649358600242805, 0.065630769887633361, 0.06561302046179085, 0.065596102901459785, 0.065580008331960482, 0.06556472680651014, 0.065550247639851442, 0.065536559696719524, 0.065523651638203478, 0.065511512129398305, 0.065500130011930446, 0.065489494445004251, 0.065479595018585315, 0.065470421842229468, 0.065461965612908443, 0.065454217664984146, 0.065447170005261845, 0.065440815335815458, 0.065435147067033836, 0.065430159323091264, 0.065425846941805865, 0.065422205470609007, 0.06541923116012556, 0.065416920956639479, 0.065415272494508597, 0.065414284089388791, 0.065413954732926563], [0.071405592783293573, 0.071406359709569475, 0.071408659838493135, 0.071412491231773456, 0.071417850696955401, 0.071424733844331692, 0.071433135166356021, 0.071443048139318954, 0.071454465346998425, 0.071467378625975325, 0.071481779232308459, 0.071497658029287314, 0.071515005696044423, 0.071533812956909984, 0.071554070831531327, 0.071575770905966646, 0.071598905625209763, 0.071623468607905444, 0.071649454984385588, 0.071676861759616531, 0.071705688203188761, 0.071735936269143027, 0.07176761104920383, 0.071800721263940437, 0.071835279797496224, 0.071871304282885698, 0.071908817746498321, 0.07194784932243245, 0.071988435049713473, 0.072030618768427895, 0.072074453134482783, 0.072120000777282742, 0.072167335630335713, 0.072216544472021318, 0.072267728722905808, 0.072321006557691012, 0.072376515404932271, 0.072434414927184027, 0.072494890599739348, 0.072558158039726942, 0.07262446828197959, 0.072694114257941866, 0.072767438814901372, 0.072844844723616686, 0.072926807275566996, 0.073013890285266822, 0.073106766616530025, 0.073206244787299896, 0.073313303842717961, 0.073429139626706164, 0.073555227000299997, 0.073693404734266457, 0.073845993225025122, 0.074015960682506599, 0.074207162512792121, 0.074424694034542327, 0.07467542373375459, 0.074968823581902433, 0.075318306723757722, 0.075743470137891608, 0.076274036012146385, 0.07695718229857948, 0.077872155795672901, 0.079162045477885426, 0.081111053595154706, 0.084362827451546898, 0.090682441284266155, 0.10659692950379288, 0.16884893252764158, 0.17734998601995791, 0.080779717452416383, 0.07005348475494616, 0.068445126779348692, 0.068350278605153941, 0.068576395610273636, 0.068857149463355846, 0.069123627340865565, 0.069359078576526637, 0.069562026144111097, 0.069735418963591353, 0.069883182970368177, 0.070009116099834096, 0.070116573696877779, 0.07020842414065781, 0.070287091141762237, 0.070354616915118601, 0.070412723533854832, 0.070462865828614885, 0.070506275044857014, 0.070543994385010467, 0.070576907977010259, 0.070605764691180795, 0.070631197956999237, 0.070653742456408583, 0.070673848340092785, 0.070691893437020051, 0.070708193800160926, 0.070723012842663274, 0.070736569258819854, 0.070749043884297452, 0.070760585623608208, 0.070771316554826921, 0.070781336308729875, 0.070790725809659005, 0.07079955045716757, 0.070807862820107412, 0.070815704907910282, 0.070823110077224055, 0.070830104625775533, 0.070836709119366223, 0.070842939492317888, 0.070848807956514645, 0.070854323749470427, 0.070859493747594315, 0.070864322967034793, 0.07086881497113437, 0.070872972200600334, 0.070876796239954076, 0.07088028803163271, 0.070883448047238867, 0.070886276423833855, 0.070888773071808048, 0.070890937759710809, 0.070892770180443099, 0.070894270002391319, 0.070895436908375797, 0.070896270624687924, 0.070896770941970666, 0.070896937729243964, 0.070896910179349931, 0.070896827485588551, 0.070896689515539471, 0.070896496047891069, 0.070896246771521162, 0.070895941284199321, 0.070895579090904839, 0.070895159601746305, 0.070894682129470019, 0.070894145886539112, 0.070893549981762921, 0.070892893416452524, 0.070892175080075268, 0.070891393745375481, 0.070890548062927272, 0.070889636555076782, 0.070888657609228953, 0.070887609470426813, 0.070886490233165164, 0.070885297832372976, 0.070884030033491127, 0.070882684421564063, 0.070881258389251314, 0.070879749123657007, 0.07087815359185945, 0.070876468525011047, 0.070874690400860627, 0.070872815424532665, 0.070870839507377006, 0.070868758243677457, 0.070866566884981566, 0.070864260311781224, 0.070861833002238861, 0.07085927899761077, 0.070856591863973153, 0.070853764649799783, 0.07085078983887691, 0.070847659297966131, 0.07084436421853986, 0.070840895051813776, 0.07083724143618117, 0.070833392116017441, 0.070829334850659356, 0.070825056312172729, 0.070820541970294915, 0.070815775962670538, 0.070810740948177756, 0.070805417940762436, 0.070799786120739019, 0.070793822619968499, 0.070787502276662348, 0.070780797354758673, 0.070773677221845688, 0.070766107978419229, 0.070758052029812044, 0.070749467590344839, 0.070740308107051675, 0.070730521587600986, 0.07072004981364384, 0.070708827416579634, 0.070696780787412414, 0.07068382678567367, 0.070669871203918433, 0.070654806933562894, 0.070638511764167244, 0.07062084573085739, 0.070601647902384226, 0.070580732474077826, 0.070557883994221637, 0.070532851507680114, 0.070505341345959413, 0.070475008228865876, 0.070441444274475892, 0.070404165456568191, 0.070362595041577047, 0.070316043675977935, 0.070263686304949238, 0.070204537515782553, 0.070137430491744229, 0.070061013693454827, 0.069973801803550298, 0.069874375546342862, 0.069761983257682847, 0.069638259909501829, 0.069512266708216849, 0.069416474549677809, 0.069464740482223133, 0.070112136244334045, 0.073787769371262635, 0.1011967788550913, 0.14302972203910086, 0.095678174965983201, 0.083350892227248022, 0.078922305804028897, 0.076786737910213732, 0.075564367961733298, 0.074784758823084496, 0.074249651090603455, 0.073862535752157898, 0.073571297545440062, 0.073345507601015339, 0.073166284002150361, 0.073021324447083646, 0.072902286800698504, 0.072803322495524958, 0.072720213566996816, 0.072649843159534669, 0.072589858817665665, 0.072538451664229883, 0.072494207643002184, 0.072456004928508316, 0.072422941702879121, 0.072394284383634766, 0.072369429920102785, 0.0723478779563069, 0.072329210035990216, 0.072313073915321019, 0.072299171634979953, 0.072287250396395525, 0.072277095554891105, 0.072268525228113223, 0.072261386148665077, 0.072255550483188533, 0.072250913408059184, 0.072247391282338619, 0.07224492029713088, 0.072243455510782137, 0.072242970204094925, 0.072243455510782081, 0.072244920297130866, 0.07224739128233866, 0.072250913408059184, 0.072255550483188519, 0.072261386148665008, 0.072268525228113251, 0.072277095554891105, 0.072287250396395566, 0.072299171634980008, 0.072313073915321005, 0.07232921003599016, 0.072347877956306858, 0.072369429920102771, 0.07239428438363478, 0.072422941702879093, 0.072456004928508233, 0.072494207643002032, 0.072538451664229966, 0.07258985881766572, 0.072649843159534599, 0.07272021356699683, 0.072803322495525014, 0.072902286800698532, 0.073021324447083716, 0.073166284002150431, 0.073345507601015367, 0.073571297545439951, 0.073862535752157774, 0.074249651090603469, 0.074784758823084996, 0.075564367961733464, 0.076786737910214078, 0.078922305804030757, 0.083350892227252324, 0.095678174965972904, 0.14302972203906106, 0.10119677885504497, 0.073787769371261233, 0.070112136244334919, 0.069464740482223244, 0.069416474549677781, 0.069512266708216919, 0.069638259909501884, 0.069761983257682805, 0.069874375546342862, 0.069973801803550312, 0.070061013693454854, 0.070137430491744146, 0.070204537515782539, 0.070263686304949252, 0.070316043675977796, 0.070362595041576964, 0.070404165456568177, 0.070441444274475851, 0.070475008228865849, 0.070505341345959441, 0.0705328515076801, 0.070557883994221568, 0.07058073247407777, 0.070601647902384185, 0.070620845730857404, 0.070638511764167203, 0.07065480693356288, 0.070669871203918433, 0.070683826785673684, 0.070696780787412428, 0.07070882741657962, 0.070720049813643798, 0.070730521587601014, 0.070740308107051675, 0.070749467590344825, 0.070758052029812016, 0.070766107978419243, 0.070773677221845716, 0.070780797354758687, 0.070787502276662362, 0.070793822619968499, 0.070799786120738978, 0.07080541794076245, 0.070810740948177797, 0.070815775962670524, 0.070820541970294915, 0.070825056312172716, 0.07082933485065937, 0.070833392116017441, 0.07083724143618117, 0.070840895051813749, 0.070844364218539818, 0.070847659297966131, 0.070850789838876937, 0.070853764649799797, 0.070856591863973112, 0.070859278997610783, 0.070861833002238875, 0.070864260311781266, 0.070866566884981511, 0.070868758243677429, 0.070870839507376965, 0.070872815424532665, 0.07087469040086064, 0.070876468525011047, 0.070878153591859408, 0.070879749123656993, 0.070881258389251287, 0.070882684421564021, 0.070884030033491169, 0.070885297832372962, 0.070886490233165178, 0.070887609470426854, 0.070888657609228953, 0.070889636555076782, 0.070890548062927286, 0.070891393745375494, 0.07089217508007524, 0.070892893416452565, 0.070893549981762907, 0.070894145886539126, 0.070894682129470032, 0.070895159601746291, 0.070895579090904839, 0.070895941284199335, 0.070896246771521121, 0.070896496047891083, 0.070896689515539471, 0.07089682748558862, 0.070896910179349931, 0.070896937729243908, 0.070896923956068392, 0.070896882635771666, 0.070896813766042635, 0.0708967173430258, 0.070896593361316193, 0.070896441813952327, 0.070896262692406301, 0.070896055986572629, 0.070895821684754431, 0.070895559773647199, 0.070895270238320832, 0.070894953062198743, 0.070894608227035222, 0.07089423571288947, 0.070893835498097912, 0.070893407559243088, 0.070892951871120644, 0.070892468406702491, 0.070891957137097894, 0.070891418031510445, 0.070890851057192839, 0.070890256179397551, 0.07088963336132377, 0.070888982564061148, 0.070888303746529172, 0.07088759686541235, 0.070886861875090995, 0.070886098727567501, 0.070885307372387393, 0.070884487756555078, 0.0708836398244444, 0.070882763517702965, 0.070881858775150103, 0.070880925532668351, 0.070879963723087663, 0.070878973276062088, 0.070877954117938374, 0.070876906171615586, 0.070875829356395886, 0.070874723587825317, 0.070873588777523575, 0.07087242483300317, 0.070871231657475733, 0.070870009149645627, 0.07086875720348948, 0.070867475708020516, 0.07086616454703705, 0.070864823598853238, 0.070863452736011245, 0.070862051824973016, 0.070860620725790663, 0.07085915929175296, 0.07085766736900688, 0.070856144796151141, 0.070854591403800904, 0.070853007014119646, 0.07085139144031706, 0.070849744486108701, 0.070848065945135402, 0.070846355600338098, 0.070844613223284919, 0.070842838573446004, 0.07084103139741145, 0.070839191428047774, 0.070837318383587242, 0.070835411966643572, 0.070833471863148256, 0.070831497741199692, 0.070829489249816621, 0.070827446017588697, 0.070825367651212348, 0.070823253733902553, 0.07082110382366863, 0.070818917451440463, 0.070816694119030868, 0.070814433296918194, 0.070812134421831888, 0.070809796894120355, 0.070807420074880695, 0.070805003282825185, 0.070802545790859095, 0.070800046822338758, 0.070797505546978209, 0.070794921076367909, 0.07079229245906396, 0.070789618675204613, 0.070786898630602293, 0.070784131150257099, 0.070781314971228596, 0.070778448734798965, 0.070775530977849901, 0.070772560123369119, 0.070769534469993581, 0.07076645218048358, 0.070763311269015278, 0.070760109587161474, 0.070756844808424632, 0.070753514411164911, 0.070750115659757848, 0.07074664558379834, 0.070743100955153473, 0.070739478262654448, 0.07073577368420389, 0.070731983056068745, 0.070728101839123647, 0.070724125081817996, 0.07072004737965791, 0.070715862831032372, 0.070711564989281592, 0.070707146811013449, 0.070702600600841256, 0.070697917952967509, 0.070693089690412922, 0.070688105803230553, 0.070682955387838614, 0.070677626590739354, 0.070672106561538023, 0.0706663814225372, 0.070660436265592555, 0.070654255191847509, 0.070647821417119852, 0.070641117476153051, 0.070634125574259007, 0.070626828157508814, 0.070619208806323885, 0.07061125360796186, 0.070602953240251773, 0.07059430611691242, 0.070566502148877622, 0.070537922911530035, 0.070518348404744094, 0.070548491546400666, 0.070818850628884572, 0.072480942667895565, 0.081411742074487828, 0.081373876250323593, 0.076791686260113914, 0.075209833269219678, 0.074739010982172033, 0.074816733534717211, 0.075333018104325786, 0.076380951361170735, 0.078267680139988138, 0.081703255115585752, 0.088307131500674901, 0.10150478574168854, 0.12418867443689052, 0.13999756246582973, 0.13199234763126516, 0.12353393994637714, 0.12771791433722984, 0.15171372648367801, 0.19405291548968018, 0.17996959182773795, 0.13049601927168006, 0.10410381421020783, 0.091859520935517608, 0.085567877987906937, 0.081961964765821974, 0.079708128060457725, 0.07820313803712102, 0.077146123378788733, 0.076374180048839502, 0.075792944835176984, 0.07534462487913865, 0.074992140087003945, 0.074710745467994027, 0.074483361024113237, 0.074297845890375955, 0.07414534292371272, 0.074019238162989248, 0.073914486848426483, 0.073827165267385669, 0.073754165857173787, 0.073692985601934699, 0.073641576639035367, 0.073598239240340479, 0.073561544213673682, 0.073530276076544276, 0.07350339110814233, 0.07347998618157435, 0.073459275471752419, 0.073440572942392174, 0.073423279073492956, 0.073406870684209896, 0.073390892990232354, 0.073374953245315636, 0.073358715476663616, 0.073341895948439859, 0.073324259086497104, 0.07330561367662812, 0.073285809212200112, 0.073264732317524228, 0.073242303212481485, 0.073218472213183242, 0.073193216283977819, 0.073166535669133503, 0.073138450639221184, 0.073108998388820484, 0.073078230119885373, 0.073046208340069807, 0.073013004398569697, 0.072978696274472371, 0.072943366624943759, 0.072907101093369217, 0.072869986871188272, 0.072832111501841962, 0.072793561911095248, 0.072754423645001162, 0.07271478029486661, 0.072674713087633513, 0.072634300619962067, 0.072593618714823602, 0.072552740380434605, 0.072511735852729034, 0.072470672704166669, 0.072429616003382449, 0.072388628511926442, 0.072347770906053641, 0.072307102013143359, 0.072266679053845498, 0.072226557882423797, 0.072186793219006687, 0.072147438868550656, 0.072108547922280816, 0.072070172938209845, 0.072032366098058132, 0.071995179338522383, 0.071958664455381363, 0.071922873179399369, 0.071887857223404877, 0.071853668300294896, 0.07182035811206243, 0.071787978310258641, 0.07175658042861302, 0.071726215788829817, 0.071696935380870075, 0.071668789719318532, 0.071641828677722647, 0.071616101303067753, 0.071591655612830193, 0.071568538377309227, 0.071546794890183521, 0.071526468730454582, 0.071507601519129646, 0.071490232674140231, 0.071474399167101715, 0.071460135285560486, 0.071447472404372603, 0.071436438769782687, 0.071427059299634152, 0.071419355402940227, 0.071413344821769392, 0.071409041498072631, 0.071406455467685079, 0.071405592783293573, 0.07140616792888968, 0.07140789228827911, 0.071410762633027744, 0.071414773594894343, 0.071419917684361844, 0.071426185316196308, 0.07143356484165618, 0.071442042586870022, 0.071451602896808006, 0.071462228184180826, 0.071473898982516756, 0.071486594002592746, 0.071500290191329086, 0.071514962792196185, 0.07153058540613845, 0.071547130051972538, 0.071564567225196912, 0.071582865954121611, 0.071601993852222129, 0.071621917165620969, 0.071642600814610255, 0.071664008428154014, 0.071686102370338678, 0.071708843757792018, 0.07173219246714721, 0.07175610713170423, 0.07178054512653545, 0.071805462541391946, 0.071830814140900076, 0.071856553311699198, 0.071882631996356222, 0.071909000614116939, 0.071935607968815304, 0.071962401144560623, 0.071989325390183045, 0.072016323993821602, 0.072043338149508696, 0.072070306818139945, 0.072097166585819952, 0.072123851523246491, 0.072150293050539077, 0.072176419812723006, 0.072202157571941955, 0.072227429123372114, 0.072252154242729016, 0.072276249674158174, 0.072299629168143184, 0.072322203579796573, 0.072343881038450616, 0.072364567199763544, 0.072384165591511007, 0.072402578063745685, 0.072419705352980951, 0.072435447768386993, 0.072449706005589698, 0.072462382090469069, 0.072473380451325717, 0.072482609112933555, 0.072489981000395401, 0.072495415334506999, 0.072498839093738679, 0.072500188511268757, 0.072499410569140665, 0.072496464446012904, 0.072491322870626498, 0.072483973330519702, 0.072474419085136216, 0.072462679934653454, 0.072448792700828477, 0.072432811383941434, 0.072414806970324666, 0.07239486687755918, 0.072373094038571839, 0.072349605640736031, 0.072324531550729917, 0.072298012469373674, 0.072270197872027667, 0.072241243798632213, 0.072211310562561665, 0.072180560448885031, 0.072149155470398074, 0.072117255244221634, 0.072085015043392375, 0.072052584067416714, 0.07202010396402575, 0.071987707622182123, 0.071955518244509173, 0.071923648696394671, 0.071892201119550234, 0.071861266790119602, 0.071830926195673106, 0.071801249301606834, 0.071772295975466027, 0.071744116537319463, 0.071716752405257198, 0.071690236807071969, 0.071664595531924627, 0.071639847699001377, 0.071616006523621087, 0.071593080064725562, 0.071571071941044867, 0.071549982006351168, 0.071529806977026142, 0.071510541007627132, 0.071492176212229988, 0.071474703131057693, 0.07145811114329631, 0.071442388828074951, 0.071427524276392443, 0.07141350535733651, 0.071400319942304682, 0.071387956091134713, 0.07137640220411684, 0.071365647143822403, 0.071355680330564275, 0.071346491815130059, 0.071338072332210858, 0.071330413337706705, 0.071323507032830816, 0.071317346377669011, 0.071311925096583642, 0.071307237677590687, 0.071303279367578076, 0.071300046164990499, 0.071297534811361959, 0.071295742782848559, 0.071294668282693777, 0.071294310235339914], [0.073872560583959357, 0.073873348675358927, 0.073875712280441527, 0.073879649403735134, 0.073885156759001341, 0.073892229828419587, 0.073900862945174048, 0.07391104939919714, 0.073922781565773532, 0.073936051056688226, 0.073950848893607285, 0.073967165703407334, 0.073984991935238567, 0.074004318099214247, 0.074025135026768371, 0.074047434152923822, 0.074071207820974622, 0.074096449610408857, 0.074123154689293105, 0.074151320192826678, 0.0741809456303507, 0.074212033323800095, 0.074244588881414803, 0.074278621711535736, 0.074314145582506444, 0.074351179236149326, 0.074389747064037101, 0.074429879857900796, 0.074471615648116635, 0.074515000647405544, 0.074560090320823891, 0.074606950608048603, 0.074655659330112298, 0.074706307820525147, 0.074759002830596902, 0.07481386877141781, 0.074871050371252634, 0.074930715848275084, 0.074993060726287614, 0.075058312457655332, 0.075126736066402314, 0.075198641089882404, 0.07527439018626185, 0.07535440989684504, 0.075439204221120784, 0.075529371899314413, 0.075625628633941774, 0.075728835967143762, 0.075840039240678614, 0.075960518121803836, 0.076091854778377238, 0.076236027258731229, 0.07639553953593807, 0.07657360599214813, 0.07677441861565043, 0.077003543162139393, 0.077268522388161884, 0.077579823128460151, 0.077952376893785341, 0.078408192355762851, 0.078981009883314732, 0.0797251039594674, 0.080733197870434995, 0.082176460285328573, 0.084405231161643945, 0.088247639210216264, 0.096126860162332989, 0.11796159907691081, 0.20684670771893823, 0.12752665773492697, 0.077309604272323723, 0.071426570979581175, 0.070618966628329394, 0.070726057493145297, 0.071016364800382051, 0.07132031605881442, 0.071595680209364868, 0.071834485806257092, 0.072038511308569392, 0.072212015852564287, 0.072359482080899179, 0.072484952032248195, 0.072591889164072262, 0.072683209089740616, 0.072761355239842784, 0.072828377277660034, 0.072885999498571052, 0.072935676957442228, 0.0729786405473348, 0.07301593310824929, 0.073048438567426974, 0.073076905757426092, 0.073101968171943005, 0.073124160586669706, 0.073143933213218312, 0.073161663863663379, 0.073177668469016313, 0.073192210203382527, 0.073205507404656478, 0.073217740442765411, 0.073229057660437802, 0.07323958049409604, 0.073249407870237718, 0.073258619963329955, 0.073267281393424741, 0.073275443934649312, 0.073283148799069178, 0.073290428554011772, 0.073297308724770735, 0.073303809128724015, 0.073309944981352598, 0.073315727809498216, 0.073321166202482357, 0.073326266427448161, 0.073331032931479564, 0.073335468749687494, 0.073339575835507514, 0.073343355326892554, 0.073346807759878105, 0.073349933239103091, 0.073352731573254892, 0.073355202382032872, 0.073357345180062372, 0.073359159442202906, 0.073360644653860482, 0.073361800349204351, 0.073362626139580556, 0.073363121733893755, 0.073363286952268403, 0.073363259594765223, 0.073363177478467864, 0.073363040471831675, 0.073362848355009558, 0.073362600818939347, 0.073362297464056633, 0.073361937798625446, 0.073361521236674679, 0.073361047095525808, 0.073360514592895651, 0.073359922843552708, 0.073359270855504241, 0.073358557525686541, 0.073357781635126393, 0.073356941843540219, 0.073356036683328185, 0.073355064552919916, 0.073354023709419611, 0.073352912260493786, 0.073351728155437015, 0.0733504691753427, 0.073349132922299554, 0.073347716807520683, 0.073346218038304684, 0.073344633603713821, 0.07334296025884042, 0.073341194507516985, 0.073339332583306632, 0.073337370428591814, 0.073335303671552068, 0.073333127600798964, 0.073330837137402155, 0.073328426804007349, 0.073325890690705331, 0.07332322241726473, 0.073320415091287935, 0.073317461261786038, 0.073314352867597299, 0.073311081179988399, 0.073307636738681431, 0.073304009280432694, 0.073300187659156468, 0.073296159756429058, 0.073291912381021243, 0.073287431155889121, 0.073282700390791183, 0.073277702938390477, 0.073272420031331373, 0.073266831097337476, 0.073260913548846354, 0.073254642543058079, 0.073247990707497615, 0.073240927825254709, 0.073233420472916325, 0.073225431602807881, 0.073216920059435128, 0.073207840017894654, 0.073198140329387054, 0.073187763755688529, 0.073176646070338303, 0.073164714999150421, 0.073151888966164549, 0.073138075602916394, 0.073123169968435514, 0.073107052413989099, 0.073089586009427596, 0.07307061342592179, 0.073049953141468629, 0.07302739479899184, 0.073002693500003712, 0.072975562757282383, 0.072945665755809977, 0.072912604481992244, 0.072875906181714772, 0.072835006515949499, 0.072789228748102064, 0.072737758445719169, 0.072679613818241395, 0.072613613694032797, 0.072538350132112836, 0.072452185556296622, 0.072353327930150479, 0.072240128344747051, 0.072112005154282011, 0.071972203107667498, 0.071836369665862265, 0.071761998013638431, 0.071967858321848238, 0.073466978414388651, 0.083205340189409199, 0.14804558065559112, 0.11250280257412067, 0.089852687907139572, 0.083082215596537584, 0.080163074516761454, 0.078599392743382096, 0.077643770986662905, 0.077006840793374678, 0.076555756652825185, 0.076221774520475197, 0.075966032222708313, 0.075765016749714587, 0.075603716288182618, 0.075472119420398345, 0.075363304090017319, 0.075272336550477631, 0.0751956076804806, 0.075130417298964233, 0.075074705097620847, 0.075026871439041784, 0.074985655000581186, 0.074950047391646249, 0.074919232422638107, 0.074892542179982965, 0.074869424791471254, 0.074849420473521805, 0.074832143544503169, 0.074817268801829845, 0.074804521135456131, 0.074793667571947081, 0.074784511164599055, 0.074776886299820169, 0.07477065509995344, 0.074765704682309517, 0.074761945092964549, 0.074759307778420006, 0.074757744493008066, 0.074757226568103671, 0.074757744493007997, 0.074759307778419978, 0.074761945092964563, 0.074765704682309517, 0.074770655099953426, 0.074776886299820114, 0.074784511164599082, 0.074793667571947123, 0.074804521135456159, 0.0748172688018299, 0.074832143544503155, 0.074849420473521763, 0.07486942479147117, 0.074892542179982965, 0.074919232422638107, 0.074950047391646263, 0.074985655000581117, 0.075026871439041645, 0.075074705097620917, 0.075130417298964303, 0.075195607680480545, 0.075272336550477659, 0.075363304090017361, 0.075472119420398359, 0.075603716288182687, 0.075765016749714656, 0.075966032222708299, 0.076221774520475072, 0.076555756652825019, 0.077006840793374678, 0.07764377098666346, 0.078599392743382332, 0.080163074516761967, 0.083082215596540013, 0.08985268790714708, 0.11250280257410063, 0.1480455806556342, 0.083205340189392629, 0.07346697841438804, 0.071967858321848641, 0.071761998013638459, 0.071836369665862237, 0.071972203107667596, 0.07211200515428208, 0.072240128344747023, 0.072353327930150466, 0.072452185556296636, 0.07253835013211285, 0.072613613694032714, 0.072679613818241368, 0.072737758445719183, 0.072789228748101911, 0.072835006515949444, 0.072875906181714772, 0.072912604481992188, 0.072945665755809949, 0.072975562757282397, 0.073002693500003712, 0.073027394798991799, 0.073049953141468588, 0.073070613425921749, 0.07308958600942761, 0.073107052413989071, 0.073123169968435556, 0.073138075602916408, 0.073151888966164549, 0.073164714999150421, 0.073176646070338289, 0.073187763755688515, 0.073198140329387096, 0.073207840017894682, 0.073216920059435101, 0.073225431602807881, 0.073233420472916352, 0.073240927825254737, 0.073247990707497629, 0.073254642543058052, 0.073260913548846354, 0.07326683109733742, 0.073272420031331414, 0.073277702938390518, 0.073282700390791169, 0.073287431155889121, 0.073291912381021243, 0.073296159756429086, 0.073300187659156482, 0.073304009280432708, 0.073307636738681431, 0.073311081179988385, 0.073314352867597313, 0.073317461261786038, 0.073320415091287949, 0.073323222417264702, 0.073325890690705345, 0.073328426804007391, 0.073330837137402183, 0.073333127600798936, 0.073335303671552082, 0.073337370428591772, 0.073339332583306632, 0.073341194507516999, 0.073342960258840462, 0.073344633603713794, 0.073346218038304656, 0.073347716807520641, 0.07334913292229954, 0.073350469175342742, 0.073351728155437002, 0.073352912260493827, 0.073354023709419638, 0.073355064552919944, 0.073356036683328185, 0.073356941843540233, 0.073357781635126421, 0.073358557525686513, 0.073359270855504269, 0.073359922843552708, 0.073360514592895637, 0.073361047095525808, 0.073361521236674651, 0.073361937798625446, 0.073362297464056619, 0.073362600818939333, 0.073362848355009586, 0.073363040471831703, 0.073363177478467892, 0.073363259594765251, 0.073363286952268375, 0.073363273275285204, 0.07336323224367429, 0.073363163855450969, 0.073363068107304114, 0.073362944994591672, 0.073362794511334151, 0.073362616650205867, 0.073362411402524752, 0.073362178758240013, 0.073361918705917337, 0.073361631232722824, 0.073361316324404083, 0.07336097396526961, 0.073360604138165544, 0.073360206824450477, 0.073359782003967325, 0.073359329655013475, 0.073358849754307259, 0.073358342276952676, 0.073357807196400393, 0.073357244484406545, 0.073356654110987768, 0.073356036044373088, 0.073355390250952293, 0.073354716695220909, 0.073354015339720718, 0.073353286144976534, 0.073352529069428615, 0.073351744069360264, 0.073350931098820502, 0.073350090109541716, 0.073349221050851718, 0.073348323869579485, 0.073347398509955156, 0.073346444913503062, 0.073345463018927359, 0.073344452761990406, 0.073343414075382515, 0.073342346888583168, 0.073341251127713059, 0.073340126715375126, 0.073338973570486216, 0.073337791608095698, 0.073336580739192719, 0.073335340870499227, 0.073334071904249148, 0.07333277373795194, 0.073331446264139233, 0.073330089370093512, 0.073328702937557569, 0.073327286842422873, 0.07332584095439508, 0.073324365136635622, 0.073322859245376029, 0.073321323129504345, 0.073319756630120109, 0.073318159580055872, 0.073316531803361951, 0.073314873114752085, 0.073313183319005687, 0.073311462210323711, 0.073309709571633408, 0.073307925173837996, 0.073306108775006165, 0.073304260119495909, 0.073302378937006668, 0.073300464941553622, 0.073298517830356819, 0.073296537282636479, 0.073294522958307295, 0.073292474496560442, 0.07329039151432365, 0.073288273604587506, 0.07328612033458469, 0.073283931243808095, 0.073281705841851716, 0.073279443606056968, 0.073277143978944775, 0.073274806365411865, 0.073272430129667304, 0.073270014591882732, 0.073267559024526821, 0.073265062648350129, 0.073262524627985812, 0.073259944067123398, 0.073257320003211224, 0.073254651401637699, 0.073251937149333979, 0.073249176047736148, 0.073246366805037266, 0.073243508027650409, 0.073240598210797273, 0.07323763572812457, 0.073234618820240335, 0.073231545582051347, 0.073228413948765239, 0.0732252216804124, 0.073221966344718781, 0.073218645298148852, 0.073215255664916101, 0.0732117943137367, 0.073208257832083456, 0.073204642497670142, 0.073200944246878091, 0.073197158639811591, 0.073193280821650455, 0.0731893054799551, 0.073185226797568392, 0.073181038400767645, 0.073176733302342992, 0.073172303839331668, 0.073167741605232331, 0.073163037376681325, 0.073158181034815362, 0.07315316148192022, 0.073147966554515623, 0.0731425829348471, 0.073136996063944831, 0.073131190061142021, 0.073125147657455522, 0.073118850153863768, 0.073112277420787908, 0.073105407962736832, 0.073098219083244209, 0.073090687201588567, 0.073082788396907655, 0.07307449929110911, 0.073065798435513349, 0.073037093068461456, 0.073004843815462322, 0.072972546355583506, 0.07295592367732677, 0.0730204862635455, 0.073470643624442153, 0.075995991047536002, 0.085550703599755862, 0.085473975740493438, 0.081536958153227854, 0.080075006701332954, 0.07991822420748268, 0.08067285619894142, 0.082483735577148998, 0.086027683421264475, 0.092947087736435563, 0.10628065386925983, 0.12412286628101617, 0.12269422001078518, 0.10556622500104551, 0.094817085773658799, 0.091280310050665031, 0.093771104595011437, 0.10603732713139249, 0.14382230994451306, 0.20363719806401845, 0.16094887865569868, 0.11693865311725049, 0.098533851005231099, 0.090079584784805308, 0.085579821266579134, 0.082899340222669884, 0.081166380812166108, 0.079976396337662292, 0.079121378890624872, 0.078485337356652085, 0.077999248794561646, 0.077619804948539664, 0.077318610491706269, 0.077076343061984326, 0.076879427443696677, 0.07671805599903582, 0.076584964904191213, 0.076474652451650429, 0.076382865348504497, 0.076306252704988295, 0.076242127945432198, 0.076188301948003676, 0.07614296426936247, 0.076104597491485459, 0.076071914792362569, 0.07604381404897502, 0.076019343854069429, 0.075997678195127399, 0.075978097462894953, 0.075959974087231291, 0.075942761540009771, 0.075925985762157602, 0.075909238305720342, 0.075892170658630423, 0.075874489356769645, 0.075855951595964241, 0.075836361142741601, 0.075815564411498018, 0.075793446630103012, 0.075769928057914868, 0.075744960251294402, 0.075718522393346824, 0.075690617718149361, 0.075661270066468903, 0.075630520611304361, 0.075598424788823879, 0.075565049464645789, 0.075530470358061624, 0.075494769738660206, 0.075458034401658561, 0.075420353920638769, 0.075381819169734882, 0.075342521101822935, 0.075302549765040513, 0.075261993536981861, 0.075220938554087971, 0.075179468312937647, 0.075137663420180203, 0.075095601468555109, 0.075053357017652186, 0.075011001659619755, 0.074968604151798596, 0.074926230600128582, 0.074883944679059899, 0.074841807875532851, 0.074799879746316106, 0.074758218179596256, 0.074716879653155252, 0.074675919482767902, 0.074635392055589861, 0.07459535104429732, 0.074555849598600649, 0.074516940511492394, 0.074478676358223764, 0.074441109606554007, 0.07440429269729093, 0.074368278094560952, 0.074333118305620227, 0.074298865870365965, 0.074265573321022196, 0.074233293112787743, 0.074202077526530533, 0.074171978544908646, 0.074143047703591175, 0.074115335919548275, 0.07408889329866146, 0.074063768925192064, 0.074040010635913547, 0.074017664781965892, 0.073996775981716306, 0.07397738686810873, 0.07395953783413392, 0.073943266780168701, 0.073928608866975484, 0.073915596278153167, 0.073904257995753564, 0.073894619592635116, 0.073886703044918456, 0.073880526567619828, 0.073876104476201382, 0.073873447076365312, 0.073872560583959357, 0.073873151602203424, 0.073874923550766108, 0.073877873115063775, 0.073881994783812022, 0.07388728086835776, 0.073893721529343398, 0.073901304810309071, 0.073910016677732185, 0.073919841066903816, 0.073930759932949466, 0.073942753306212194, 0.073955799351140786, 0.073969874427754323, 0.07398495315469393, 0.074001008472823274, 0.074018011708293432, 0.07403593263396438, 0.074054739528046032, 0.074074399228817284, 0.074094877184279859, 0.074116137495613632, 0.074138142953325714, 0.074160855065015102, 0.074184234073728247, 0.074208238965936507, 0.074232827468244666, 0.07425795603203425, 0.074283579805358338, 0.074309652591538405, 0.074336126794079319, 0.074362953347705874, 0.074390081635554536, 0.074417459392819782, 0.074445032597462282, 0.0744727453489544, 0.074500539736455554, 0.074528355698292872, 0.074556130875175111, 0.074583800460191099, 0.074611297049340899, 0.074638550497118941, 0.074665487782510892, 0.074692032891662707, 0.074718106724427844, 0.074743627032960711, 0.074768508401478431, 0.074792662277207739, 0.074815997063319109, 0.074838418285254421, 0.074859828842197135, 0.07488012935542615, 0.074899218624826402, 0.074916994203804779, 0.074933353101165584, 0.074948192616042186, 0.074961411308692522, 0.074972910105794682, 0.074982593533843137, 0.074990371068409695, 0.074996158580546868, 0.074999879854701051, 0.075001468145494049, 0.075000867734029281, 0.074998035438452321, 0.074992942028872051, 0.074985573493944732, 0.074975932105926055, 0.074964037233188105, 0.074949925854311469, 0.074933652735937259, 0.074915290247396557, 0.074894927798278194, 0.074872670899883823, 0.074848639867073824, 0.074822968192346115, 0.074795800638092755, 0.07476729110487923, 0.074737600342493229, 0.074706893575841413, 0.074675338119256224, 0.074643101050439684, 0.074610347009438527, 0.074577236179289103, 0.074543922494039905, 0.074510552107604988, 0.07447726214418568, 0.074444179738615682, 0.07441142136362304, 0.074379092431160546, 0.07434728714698649, 0.074316088591727308, 0.07428556899772526, 0.074255790188939852, 0.0742268041508094, 0.074198653697997177, 0.074171373210048935, 0.074144989407858256, 0.074119522147186298, 0.074094985209074746, 0.074071387070603484, 0.074048731642926011, 0.074027018966750943, 0.074006245858342326, 0.073986406501653029, 0.073967492984360866, 0.073949495777359944, 0.073932404158687723, 0.07391620658397248, 0.073900891006308284, 0.073886445149038041, 0.073872856735294506, 0.073860113678345427, 0.073848204236853371, 0.07383711713911334, 0.073826841680208408, 0.073817367795838223, 0.073808686116348846, 0.073800788004241766, 0.073793665578170978, 0.073787311726162805, 0.073781720110517701, 0.073776885166583053, 0.073772802097319609, 0.073769466865331798, 0.073766876183783123, 0.073765027507380551, 0.073763919024387128, 0.073763549650395846], [0.072522354331647276, 0.072523124536872874, 0.07252543449885851, 0.072529282268299494, 0.072534664635544921, 0.072541577189247725, 0.072550014398209892, 0.072559969716182046, 0.072571435709330348, 0.072584404206063033, 0.072598866468918485, 0.072614813388244784, 0.07263223569747361, 0.072651124209901663, 0.072671470077045511, 0.072693265068840926, 0.07271650187622293, 0.072741174436952785, 0.07276727828595797, 0.072794810931948256, 0.07282377226265703, 0.072854164981772704, 0.072885995081469881, 0.07291927235547685, 0.072954010958838078, 0.072990230022008246, 0.073027954328706665, 0.073067215069133357, 0.073108050682814535, 0.073150507808624393, 0.073194642363586762, 0.073240520777133167, 0.073288221413843141, 0.073337836225733782, 0.073389472685390963, 0.073443256064351981, 0.073499332138082116, 0.073557870420936089, 0.073619068063419016, 0.073683154582323968, 0.073750397645402532, 0.073821110201034962, 0.073895659336995365, 0.073974477381167275, 0.074058075936146689, 0.074147063791813864, 0.074242170019672621, 0.074344274073324557, 0.074454445484582271, 0.074573996888513766, 0.07470455585252897, 0.074848163691675754, 0.075007413755094038, 0.07518564868012842, 0.075387247857808357, 0.075618056656937147, 0.075886045301245916, 0.07620235301816021, 0.07658300519910903, 0.077051863194844014, 0.077645962119442052, 0.07842579915998267, 0.079496776413597287, 0.081058563554295429, 0.083534605709382925, 0.087978778106791375, 0.097732742997071631, 0.12831693825299298, 0.22965180767221866, 0.09841856438759107, 0.072965084973684313, 0.069698309359654542, 0.069339726003811192, 0.06953766493544658, 0.069837537883203724, 0.070130486280511925, 0.070390494744647911, 0.070614292601668127, 0.070804940753838294, 0.070966896158062162, 0.071104500730547374, 0.071221569578710134, 0.071321338600281725, 0.071406521643432475, 0.071479391368271653, 0.071541855602399784, 0.071595521641264814, 0.071641748142401138, 0.071681686461311123, 0.071716313643080953, 0.071746459031418103, 0.071772826050414809, 0.071796010324225321, 0.071816514979227059, 0.071834763729518705, 0.071851112170557757, 0.07186585758345608, 0.071879247470269775, 0.07189148698688784, 0.071902745405675872, 0.07191316171804453, 0.071922849472778522, 0.071931900936034798, 0.071940390651346678, 0.071948378471531196, 0.071955912128430555, 0.071963029400635425, 0.071969759933638397, 0.071976126761284398, 0.071982147571983221, 0.071987835758012889, 0.071993201281433494, 0.071998251385709172, 0.072002991178114734, 0.072007424104406553, 0.072011552334045298, 0.072015377071461051, 0.072018898806414405, 0.072022117514405792, 0.07202503281627963, 0.072027644104628627, 0.072029950643292845, 0.072031951645137288, 0.07203364633234885, 0.072035033982696992, 0.072036113964524182, 0.072036885762653283, 0.072037348996899966, 0.072037503434441041, 0.072037477765177674, 0.072037400716327138, 0.072037272164538577, 0.072037091903659811, 0.072036859643883233, 0.072036575010540602, 0.072036237542540738, 0.072035846690438027, 0.072035401814118563, 0.072034902180088956, 0.072034346958347636, 0.072033735218817618, 0.072033065927314996, 0.072032337941023289, 0.072031550003442968, 0.072030700738776113, 0.072029788645705944, 0.072028812090523101, 0.072027769299545921, 0.072026658350774347, 0.072025477164710527, 0.072024223494272413, 0.072022894913713678, 0.072021488806458006, 0.072020002351739873, 0.072018432509934421, 0.072016776006441838, 0.072015029313975853, 0.072013188633088129, 0.072011249870736219, 0.072009208616681031, 0.072007060117469046, 0.072004799247724183, 0.072002420478435858, 0.071999917841887959, 0.071997284892824143, 0.071994514665387394, 0.071991599625307157, 0.071988531616729107, 0.071985301802995769, 0.071981900600580129, 0.071978317605253847, 0.071974541509428849, 0.0719705600094422, 0.071966359701357147, 0.071961925963616807, 0.071957242824609899, 0.071952292812874408, 0.071947056787269148, 0.07194151374396715, 0.071935640596553108, 0.071929411924813946, 0.071922799686976735, 0.071915772889125595, 0.0719082972042875, 0.071900334532146185, 0.071891842488466001, 0.071882773810977893, 0.071873075665590661, 0.071862688833183017, 0.071851546752708925, 0.071839574390653832, 0.071826686899672296, 0.071812788020085241, 0.07179776816622789, 0.071781502124678626, 0.071763846272168738, 0.071744635196207274, 0.071723677569546687, 0.071700751088560416, 0.07167559623311176, 0.071647908539208771, 0.071617328994133075, 0.071583432068196451, 0.071545710797264642, 0.071503558255244182, 0.071456244783813669, 0.071402890671714861, 0.071342435072512658, 0.071273604988474182, 0.071194896086779383, 0.071104597715062764, 0.071000949195997531, 0.07088266664531602, 0.070750532640524999, 0.070612222475226777, 0.070498036425497013, 0.070519445971772204, 0.07113905650348569, 0.074931254044247317, 0.10459248387361716, 0.13680466547914902, 0.094795846177935683, 0.083812896718023347, 0.079746700125524678, 0.077751113832020935, 0.076596185278311815, 0.075854078590129159, 0.075342020187934955, 0.074970159553067475, 0.074689612237653011, 0.074471666173327081, 0.07429841854866355, 0.074158157883261383, 0.07404291535793546, 0.073947087473307083, 0.073866622406526805, 0.073798519084883732, 0.073740507707110561, 0.073690839688101334, 0.073648145844189924, 0.073611338409225235, 0.073579541948920038, 0.073552043779083323, 0.073528257827666629, 0.073507697942247444, 0.073489957950217719, 0.07347469662382583, 0.073461626259769, 0.073450503957661992, 0.073441124937711266, 0.073433317415757746, 0.07342693867944286, 0.073421872099567381, 0.073418024876985177, 0.073415326375227366, 0.073413726927678308, 0.073413197039148378, 0.073413726927678252, 0.073415326375227366, 0.073418024876985191, 0.073421872099567409, 0.07342693867944286, 0.073433317415757676, 0.073441124937711294, 0.073450503957661992, 0.073461626259769042, 0.073474696623825872, 0.073489957950217719, 0.073507697942247402, 0.073528257827666602, 0.073552043779083337, 0.073579541948920052, 0.073611338409225249, 0.073648145844189855, 0.073690839688101181, 0.073740507707110631, 0.073798519084883815, 0.073866622406526736, 0.073947087473307097, 0.074042915357935529, 0.074158157883261397, 0.074298418548663633, 0.074471666173327178, 0.074689612237653025, 0.07497015955306735, 0.075342020187934788, 0.075854078590129145, 0.076596185278312509, 0.077751113832021254, 0.079746700125525427, 0.083812896718027011, 0.094795846177948354, 0.1368046654791199, 0.10459248387365433, 0.074931254044241419, 0.071139056503485412, 0.070519445971772357, 0.070498036425496999, 0.070612222475226735, 0.070750532640525068, 0.070882666645316048, 0.071000949195997504, 0.071104597715062737, 0.071194896086779397, 0.071273604988474223, 0.071342435072512589, 0.071402890671714819, 0.071456244783813683, 0.071503558255244043, 0.071545710797264558, 0.071583432068196409, 0.071617328994133006, 0.071647908539208716, 0.07167559623311176, 0.071700751088560402, 0.071723677569546618, 0.071744635196207204, 0.071763846272168696, 0.071781502124678653, 0.071797768166227849, 0.071812788020085255, 0.071826686899672323, 0.071839574390653818, 0.071851546752708939, 0.071862688833183017, 0.071873075665590647, 0.071882773810977935, 0.071891842488466015, 0.071900334532146143, 0.071908297204287486, 0.071915772889125637, 0.071922799686976749, 0.071929411924813946, 0.071935640596553094, 0.071941513743967192, 0.071947056787269106, 0.071952292812874422, 0.071957242824609954, 0.071961925963616794, 0.071966359701357105, 0.071970560009442214, 0.071974541509428877, 0.071978317605253889, 0.071981900600580129, 0.071985301802995755, 0.071988531616729079, 0.071991599625307157, 0.07199451466538738, 0.071997284892824143, 0.071999917841887917, 0.072002420478435858, 0.072004799247724197, 0.072007060117469102, 0.072009208616680989, 0.072011249870736205, 0.072013188633088074, 0.072015029313975867, 0.072016776006441865, 0.072018432509934449, 0.072020002351739831, 0.072021488806457964, 0.072022894913713664, 0.072024223494272385, 0.072025477164710555, 0.072026658350774306, 0.072027769299545949, 0.072028812090523156, 0.072029788645705931, 0.072030700738776085, 0.072031550003442996, 0.072032337941023317, 0.072033065927314982, 0.072033735218817646, 0.072034346958347623, 0.072034902180088928, 0.072035401814118591, 0.072035846690438041, 0.072036237542540738, 0.072036575010540588, 0.072036859643883205, 0.072037091903659839, 0.072037272164538563, 0.072037400716327152, 0.072037477765177688, 0.072037503434441014, 0.072037490601478016, 0.072037452102094085, 0.072037387934803854, 0.072037298097129041, 0.072037182585594758, 0.07203704139572438, 0.072036874522032265, 0.072036681958015505, 0.072036463696143971, 0.072036219727848239, 0.072035950043506616, 0.072035654632429544, 0.072035333482842995, 0.072034986581869465, 0.072034613915507292, 0.072034215468607873, 0.072033791224850985, 0.07203334116671746, 0.072032865275460281, 0.072032363531072424, 0.072031835912253026, 0.072031282396370327, 0.072030702959421836, 0.07203009757599188, 0.072029466219205876, 0.072028808860680971, 0.072028125470473645, 0.072027416017023324, 0.072026680467092, 0.072025918785699763, 0.072025130936055781, 0.072024316879484365, 0.072023476575346163, 0.072022609980953639, 0.072021717051480971, 0.072020797739867345, 0.072019851996714013, 0.072018879770173738, 0.072017881005832812, 0.072016855646584846, 0.072015803632495476, 0.072014724900657884, 0.072013619385037753, 0.072012487016307511, 0.072011327721668406, 0.072010141424659987, 0.072008928044956066, 0.072007687498145331, 0.072006419695496218, 0.072005124543704419, 0.072003801944621762, 0.072002451794964645, 0.072001073986000752, 0.071999668403211967, 0.071998234925931659, 0.071996773426953778, 0.071995283772112492, 0.071993765819827887, 0.07199221942061694, 0.071990644416565441, 0.071989040640757451, 0.071987407916659391, 0.071985746057453615, 0.071984054865318003, 0.071982334130645559, 0.071980583631199829, 0.071978803131198907, 0.071976992380322485, 0.071975151112633834, 0.071973279045409733, 0.071971375877868421, 0.071969441289786898, 0.07196747493999571, 0.071965476464741066, 0.07196344547589896, 0.071961381559028662, 0.0719592842712488, 0.071957153138917707, 0.071954987655099431, 0.071952787276792288, 0.071950551421896783, 0.07194827946589516, 0.071945970738212392, 0.071943624518226265, 0.07194124003088824, 0.071938816441914591, 0.071936352852501273, 0.071933848293511862, 0.07193130171908034, 0.071928711999566519, 0.071926077913791603, 0.071923398140475658, 0.071920671248788329, 0.071917895687913999, 0.071915069775522367, 0.071912191685020541, 0.071909259431452904, 0.071906270855894114, 0.071903223608168879, 0.071900115127710926, 0.071896942622353716, 0.071893703044825161, 0.071890393066693828, 0.071887009049492467, 0.071883547012717319, 0.071880002598379608, 0.071876371031762462, 0.07187264707801562, 0.071868824994208338, 0.071864898476457328, 0.071860860601758336, 0.07185670376418396, 0.071852419605183779, 0.071847998937838553, 0.071843431665118057, 0.071838706692483295, 0.071833811835625386, 0.07182873372478428, 0.071823457708051652, 0.071817967757445325, 0.071812246383537379, 0.071806274567284042, 0.07180003172181823, 0.071793495702875465, 0.07178664289502909, 0.071779448413191366, 0.071771886476636515, 0.071763931038732146, 0.071737464540173573, 0.071706850345213055, 0.071673106965583266, 0.071642493926394366, 0.071640138572608175, 0.071763663305690437, 0.07242368100260399, 0.075441524180066138, 0.084397572382996472, 0.087785462249889798, 0.085383410270050641, 0.084563268570770067, 0.08574601868499572, 0.089263979320636122, 0.096337773753240707, 0.1076799537187198, 0.11405221637981422, 0.10245422312819613, 0.088893609207842519, 0.081591489266942055, 0.078340826656757609, 0.077442771066064148, 0.078708651522612944, 0.083938431226842802, 0.10117494890348325, 0.16040766882759053, 0.19590327402315189, 0.13064149481616644, 0.10205705209456641, 0.090627077442234458, 0.085084643430326526, 0.081971487182162767, 0.08003501284819943, 0.07874010756411734, 0.077827199195109276, 0.077157555754862772, 0.07665121388048507, 0.07625922245783201, 0.075950106168055379, 0.075702781279200895, 0.075502625443136809, 0.075339187930364662, 0.075204799017170754, 0.075093694851438436, 0.075001449565782641, 0.074924596871579874, 0.07486037207964015, 0.074806532738387985, 0.074761231838214134, 0.07472292691967819, 0.074690314168138414, 0.074662280177702475, 0.074637866373727144, 0.074616242591298079, 0.07459668731352731, 0.074578572759140441, 0.07456135348642598, 0.074544557521452018, 0.074527779268077271, 0.074510673644962583, 0.074492951039335953, 0.07447437278071864, 0.074454746927855142, 0.074433924233583429, 0.07441179420855959, 0.07438828124781259, 0.074363340815803813, 0.074336955707495489, 0.074309132416357754, 0.074279897646705478, 0.074249295008697702, 0.074217381931147908, 0.074184226821280536, 0.074149906492884901, 0.074114503875933727, 0.074078106012426523, 0.074040802335553352, 0.074002683222641377, 0.073963838806947763, 0.073924358029277881, 0.073884327907603131, 0.073843833001220743, 0.073802955045382548, 0.073761772732546096, 0.073720361617282223, 0.073678794123240715, 0.07363713963226165, 0.073595464637603386, 0.073553832945214226, 0.073512305908926462, 0.073470942687331536, 0.073429800511851773, 0.073388934957143381, 0.073348400206416434, 0.073308249305549425, 0.073268534401003435, 0.073229306957520099, 0.073190617952427595, 0.073152518044099474, 0.07311505771272285, 0.073078287372062276, 0.073042257451358228, 0.073007018446899746, 0.072972620943164063, 0.072939115603747107, 0.072906553132606577, 0.072874984206438287, 0.072844459379289517, 0.072815028960796918, 0.072786742869719812, 0.072759650464725337, 0.072733800354658235, 0.072709240190806337, 0.072686016443937448, 0.072664174169131249, 0.072643756761653688, 0.072624805707317927, 0.072607360330925408, 0.072591457546496416, 0.072577131613044993, 0.072564413899653582, 0.072553332663528758, 0.07254391284457988, 0.072536175879858014, 0.072530139540907715, 0.072525817796751116, 0.07252322070481361, 0.072522354331647276, 0.072522931936516155, 0.072524663671592562, 0.072527546302182888, 0.072531574450060005, 0.072536740612658038, 0.072543035189546481, 0.072550446515793912, 0.072558960901722716, 0.072568562678460208, 0.072579234248597482, 0.072590956141181689, 0.072603707070188941, 0.072617463995558365, 0.072632202185804517, 0.072647895281178348, 0.072664515356300766, 0.072682032981169833, 0.072700417279412385, 0.072719635982647662, 0.072739655479827095, 0.072760440860423686, 0.072781955950369751, 0.072804163339668965, 0.072827024400660287, 0.072850499295965487, 0.072874546975226537, 0.072899125159830644, 0.072924190314929888, 0.072949697608191352, 0.072975600854874298, 0.073001852449012819, 0.07302840328070502, 0.073055202639769751, 0.073082198106331375, 0.073109335429253353, 0.073136558393750273, 0.073163808679980805, 0.073191025714970978, 0.073218146520828226, 0.073245105562899482, 0.073271834602289712, 0.073298262557994806, 0.073324315384799083, 0.073349915974033786, 0.073374984085261843, 0.073399436317916247, 0.073423186132829346, 0.07344614393439626, 0.073468217224747348, 0.073489310841681713, 0.073509327292146209, 0.073528167192623992, 0.073545729826825779, 0.073561913829436623, 0.073576618002274094, 0.073589742265978489, 0.073601188746237931, 0.073610862988558623, 0.073618675289784288, 0.07362454212809981, 0.073628387666339862, 0.073630145296392766, 0.073629759185744215, 0.073627185781216381, 0.073622395220257875, 0.073615372597245682, 0.073606119031670816, 0.073594652487175963, 0.073581008295445893, 0.073565239346949182, 0.073547415921310977, 0.073527625143198494, 0.073505970064367529, 0.073482568388061248, 0.073457550867288959, 0.07343105942261019, 0.073403245036947812, 0.073374265493840629, 0.073344283030860977, 0.073313461981380099, 0.073281966475504126, 0.073249958265147797, 0.073217594729445279, 0.07318502710576999, 0.073152398979403399, 0.07311984505221826, 0.073087490198426378, 0.073055448804154974, 0.073023824377870153, 0.072992709410792112, 0.072962185460594645, 0.072932323427844503, 0.072903183992681336, 0.072874818178939274, 0.072847268013978728, 0.072820567254624616, 0.072794742152490377, 0.072769812235311412, 0.07274579108448638, 0.072722687092607846, 0.072700504188211737, 0.072679242518167958, 0.072658899080996833, 0.072639468306896146, 0.07262094258237671, 0.072603312719151381, 0.072586568368314869, 0.072570698381929047, 0.072555691124922814, 0.072541534740772268, 0.072528217374777271, 0.072515727358936868, 0.072504053362479171, 0.072493184512051556, 0.072483110485447172, 0.072473821582560452, 0.07246530877703658, 0.072457563751831974, 0.072450578921637074, 0.072444347444841642, 0.072438863227451439, 0.072434120921101214, 0.072430115917044263, 0.072426844337754634, 0.0724243030275315, 0.072422489543264149, 0.07242140214629561, 0.07242103979610158], [0.067557851899046242, 0.067558570605086091, 0.067560726118187697, 0.067564316634452989, 0.067569339184534477, 0.067575789689234805, 0.06758366303710138, 0.067592953183796184, 0.067603653272977376, 0.067615755778415249, 0.06762925266707491, 0.06764413558293092, 0.067660396051351934, 0.067678025704003816, 0.067697016524371462, 0.067717361114201208, 0.067739052981428474, 0.067762086850476855, 0.067786458996210525, 0.06781216760330748, 0.067839213153398081, 0.067867598843016227, 0.067897331036241335, 0.067928419756921155, 0.067960879226569321, 0.067994728455491246, 0.068029991896464831, 0.068066700172452477, 0.06810489089246799, 0.068144609572980075, 0.068185910686273332, 0.068228858862248581, 0.068273530276489608, 0.068320014265477264, 0.068368415220093945, 0.068418854821753305, 0.068471474702560708, 0.068526439633188205, 0.068583941371449034, 0.068644203343421889, 0.068707486381008639, 0.068774095810117827, 0.068844390279649698, 0.068918792853919525, 0.068997805076086424, 0.069082024971598821, 0.069172170335309355, 0.069269109190688405, 0.069373900114479775, 0.069487846330283168, 0.069612569328972557, 0.069750110675820029, 0.069903075311960786, 0.070074837295765663, 0.070269841847602543, 0.070494060126551225, 0.070755694052294635, 0.071066305719461167, 0.071442699042557178, 0.071910202229338263, 0.072508718714511214, 0.073304658645264309, 0.074416529983441129, 0.076076089448283701, 0.078797107645829895, 0.083945315614248769, 0.096338357364777041, 0.14238342855911645, 0.1982631641726427, 0.079822369950192387, 0.066724367231912468, 0.064868923038030574, 0.064725244975490731, 0.064931605811245643, 0.065198678748720304, 0.065453682818164841, 0.065679126948605532, 0.065873323902556444, 0.066039081369957509, 0.06618018241323409, 0.066300280603158276, 0.066402594066936993, 0.066489867292668162, 0.06656441643440654, 0.066628193241413738, 0.066682845782224054, 0.066729769925400695, 0.066770151176658799, 0.066804998250127368, 0.066835170079568934, 0.066861397798041455, 0.06688430290281118, 0.066904412516611472, 0.066922172402839139, 0.066937958199177916, 0.066952085195175759, 0.066964816883725672, 0.066976372453248473, 0.066986933347135388, 0.066996648992112343, 0.067005641782008393, 0.067014011393969009, 0.067021838507813916, 0.067029187994348899, 0.067036111634066503, 0.067042650423333669, 0.067048836520706451, 0.067054694881410498, 0.067060244623371887, 0.067065500163575098, 0.067070472159068376, 0.067075168282720463, 0.067079593859916437, 0.067083752388802709, 0.067087645963471387, 0.067091275616609325, 0.067094641595619051, 0.06709774358402025, 0.067100580878042215, 0.067103152526684695, 0.067105457442129229, 0.067107494486196129, 0.067109262537536143, 0.067110760543391601, 0.067111987559040312, 0.067112942777421469, 0.06711362555091889, 0.067114035406825839, 0.067114172057619992, 0.067114149220853361, 0.067114080674123167, 0.067113966307988243, 0.067113805939544399, 0.067113599311667632, 0.067113346091947607, 0.0671130458713039, 0.067112698162276302, 0.067112302396976575, 0.067111857924688739, 0.067111364009100546, 0.067110819825146967, 0.067110224455443845, 0.067109576886285341, 0.067108876003178067, 0.067108120585876771, 0.067107309302887219, 0.067106440705392637, 0.067105513220559271, 0.067104525144166954, 0.067103474632507237, 0.067102359693483854, 0.067101178176840956, 0.067099927763437844, 0.067098605953477566, 0.067097210053585876, 0.067095737162624666, 0.067094184156108641, 0.067092547669079433, 0.067090824077270586, 0.067089009476377623, 0.06708709965922198, 0.067085090090570537, 0.067082975879340617, 0.067080751747883971, 0.067078411998001172, 0.067075950473289417, 0.06707336051737102, 0.067070634927484135, 0.067067765902842927, 0.067064744987085326, 0.067061563004023952, 0.067058209985795841, 0.067054675092364804, 0.067050946521163349, 0.067047011405465443, 0.06704285569984697, 0.067038464050814817, 0.067033819650355181, 0.067028904069756687, 0.067023697070590887, 0.067018176389161577, 0.067012317490046075, 0.067006093283515297, 0.066999473800602866, 0.066992425818348827, 0.066984912426219886, 0.066976892522826528, 0.066968320229734271, 0.066959144206277091, 0.066949306845678597, 0.066938743328273681, 0.066927380501944952, 0.066915135552721675, 0.06690191441940177, 0.066887609894507719, 0.06687209933916799, 0.066855241920733666, 0.066836875257995781, 0.066816811328440889, 0.066794831453646536, 0.066770680131391938, 0.066744057425971962, 0.066714609563799959, 0.066681917318530085, 0.066645481733148243, 0.066604706776548353, 0.066558878813815878, 0.066507143624675913, 0.066448483949170425, 0.066381706168206683, 0.066305458795995628, 0.066218341425856433, 0.066119258693368599, 0.066008446001292062, 0.065890433633485457, 0.065783113800737314, 0.065748695913354083, 0.066019751590187442, 0.067678177730630201, 0.078375907480252152, 0.14486172424490656, 0.10183707061695725, 0.081867741390118001, 0.075874701727547594, 0.073269126772582543, 0.071866440402647447, 0.071006707253559717, 0.070432711273774179, 0.070025813065007131, 0.069724413742392397, 0.069493604379995425, 0.069312224328904368, 0.069166744000099145, 0.069048130026269014, 0.068950130690932046, 0.068868286533523157, 0.068799333218037481, 0.068740827152265122, 0.06869090296035088, 0.068648111857249283, 0.068611311245847545, 0.068579587657134539, 0.068552201937437302, 0.06852854961204477, 0.068508131811315542, 0.068490533683114044, 0.068475408200038071, 0.068462463913472577, 0.068451455635180458, 0.068442177317743977, 0.06843445660553564, 0.068428150668397678, 0.068423143030527517, 0.06841934118014463, 0.068416674800047525, 0.06841509450105962, 0.068414570973696895, 0.068415094501059565, 0.068416674800047511, 0.068419341180144644, 0.068423143030527517, 0.068428150668397664, 0.068434456605535585, 0.068442177317744005, 0.0684514556351805, 0.068462463913472632, 0.068475408200038154, 0.06849053368311403, 0.068508131811315501, 0.068528549612044742, 0.068552201937437315, 0.068579587657134553, 0.068611311245847531, 0.068648111857249255, 0.068690902960350769, 0.068740827152265219, 0.068799333218037551, 0.068868286533523115, 0.06895013069093206, 0.069048130026269056, 0.069166744000099187, 0.069312224328904409, 0.069493604379995522, 0.06972441374239241, 0.070025813065006978, 0.070432711273774026, 0.071006707253559717, 0.071866440402648279, 0.073269126772582932, 0.07587470172754858, 0.081867741390123899, 0.10183707061698256, 0.14486172424492894, 0.078375907480266696, 0.067678177730627676, 0.066019751590187317, 0.065748695913354166, 0.065783113800737272, 0.065890433633485415, 0.066008446001292118, 0.06611925869336864, 0.066218341425856392, 0.066305458795995628, 0.066381706168206697, 0.066448483949170425, 0.066507143624675857, 0.06655887881381585, 0.066604706776548353, 0.066645481733148132, 0.066681917318530043, 0.066714609563799931, 0.06674405742597192, 0.06677068013139191, 0.06679483145364655, 0.066816811328440875, 0.066836875257995726, 0.066855241920733624, 0.066872099339167948, 0.066887609894507719, 0.066901914419401742, 0.066915135552721702, 0.066927380501944966, 0.066938743328273709, 0.066949306845678624, 0.066959144206277091, 0.066968320229734243, 0.066976892522826556, 0.066984912426219886, 0.066992425818348814, 0.066999473800602852, 0.067006093283515339, 0.067012317490046117, 0.067018176389161577, 0.067023697070590887, 0.067028904069756687, 0.067033819650355139, 0.067038464050814831, 0.067042855699847012, 0.067047011405465456, 0.067050946521163335, 0.067054675092364777, 0.067058209985795855, 0.067061563004023966, 0.06706474498708534, 0.067067765902842927, 0.067070634927484121, 0.067073360517371033, 0.067075950473289417, 0.067078411998001172, 0.067080751747883957, 0.067082975879340617, 0.067085090090570551, 0.067087099659222021, 0.067089009476377609, 0.067090824077270572, 0.067092547669079378, 0.067094184156108641, 0.067095737162624708, 0.067097210053585904, 0.067098605953477525, 0.067099927763437817, 0.067101178176840928, 0.067102359693483826, 0.067103474632507237, 0.067104525144166927, 0.067105513220559299, 0.067106440705392678, 0.067107309302887205, 0.067108120585876799, 0.067108876003178081, 0.067109576886285383, 0.067110224455443804, 0.067110819825146995, 0.067111364009100546, 0.067111857924688725, 0.067112302396976561, 0.067112698162276288, 0.067113045871303928, 0.067113346091947579, 0.067113599311667618, 0.067113805939544399, 0.067113966307988271, 0.06711408067412318, 0.067114149220853375, 0.06711417205761995, 0.06711416064072942, 0.067114126389765869, 0.067114069303853066, 0.06711398938152878, 0.067113886620742108, 0.067113761018850013, 0.06711361257261203, 0.067113441278184804, 0.067113247131114662, 0.067113030126329465, 0.067112790258129398, 0.067112527520175838, 0.067112241905479764, 0.06711193340638813, 0.067111602014569491, 0.067111247720997441, 0.067110870515933341, 0.067110470388906662, 0.067110047328694286, 0.067109601323297366, 0.067109132359917209, 0.067108640424928256, 0.067108125503849397, 0.067107587581313133, 0.067107026641032283, 0.067106442665763835, 0.0671058356372706, 0.067105205536279883, 0.067104552342438797, 0.067103876034266555, 0.067103176589103239, 0.067102453983054852, 0.067101708190934237, 0.067100939186197708, 0.067100146940877348, 0.067099331425507835, 0.067098492609048557, 0.067097630458799476, 0.067096744940311134, 0.067095836017288107, 0.067094903651484947, 0.067093947802595019, 0.067092968428130492, 0.067091965483293839, 0.067090938920839324, 0.067089888690924415, 0.067088814740949756, 0.067087717015387058, 0.067086595455593714, 0.067085449999613217, 0.067084280581960434, 0.067083087133389577, 0.067081869580644632, 0.067080627846189844, 0.067079361847918823, 0.067078071498840611, 0.067076756706740695, 0.067075417373814034, 0.067074053396269193, 0.067072664663899315, 0.067071251059618087, 0.067069812458957365, 0.067068348729522401, 0.067066859730401746, 0.067065345311526914, 0.067063805312977495, 0.067062239564226592, 0.067060647883321126, 0.0670590300759904, 0.067057385934676944, 0.067055715237481259, 0.067054017747012737, 0.067052293209137609, 0.06705054135161391, 0.067048761882601893, 0.067046954489038052, 0.067045118834859335, 0.067043254559061544, 0.067041361273576294, 0.067039438560947393, 0.067037485971786465, 0.06703550302198473, 0.067033489189655834, 0.067031443911782035, 0.067029366580531796, 0.067027256539214944, 0.067025113077836249, 0.067022935428205407, 0.06702072275855446, 0.067018474167611489, 0.067016188678069771, 0.067013865229387945, 0.06701150266984833, 0.067009099747790776, 0.067006655101934126, 0.067004167250681979, 0.067001634580304809, 0.066999055331872032, 0.066996427586798316, 0.066993749250853468, 0.066991018036467564, 0.066988231443148888, 0.066985386735812197, 0.066982480920798657, 0.066979510719347796, 0.066976472538264997, 0.066973362437511119, 0.066970176094424155, 0.066966908764275204, 0.066963555236857042, 0.066960109788812811, 0.06695656613143515, 0.066952917353718874, 0.066949155860529505, 0.06694527330588658, 0.066941260521557952, 0.066937107441462709, 0.066932803022811835, 0.066928335165537728, 0.066923690632449642, 0.066918854973802885, 0.066913812461735458, 0.066908546042507816, 0.066903037317968844, 0.066897266572576455, 0.066891212869201799, 0.066884854246681918, 0.066878168065853602, 0.066855921684565736, 0.066830044146598058, 0.066800759135992746, 0.066770838420127446, 0.06675129917661303, 0.066779718382206504, 0.066982366777571301, 0.067790105876938317, 0.070552887253339316, 0.077390993340032854, 0.084966549777531028, 0.08865192171327918, 0.091607903043410543, 0.095679690394201558, 0.098208572924609341, 0.093352804715189794, 0.083606311954726786, 0.076096155481216468, 0.071863570717182565, 0.069652975454270474, 0.068580016649954126, 0.068291443105723423, 0.068879425927860352, 0.071182523003348819, 0.078575876036947434, 0.10721247903061625, 0.1995923706386076, 0.15191336677500389, 0.10393520747025731, 0.08773441123719912, 0.080806604265947796, 0.077201133710100844, 0.07506493129308367, 0.073682623496474281, 0.07273047618753764, 0.072043863153653825, 0.071531348542234668, 0.071138531338314243, 0.070831210693971663, 0.070586889898894861, 0.070390198357878617, 0.07023028725036895, 0.070099278890316488, 0.069991307007372591, 0.069901902725507739, 0.069827590345719476, 0.069765614632582268, 0.069713752913460977, 0.06967018328309757, 0.069633390768658293, 0.069602099691749769, 0.069575224418401624, 0.069551833195869495, 0.069531121400264642, 0.069512391594497985, 0.069495038523090275, 0.069478537673198448, 0.069462436387545207, 0.069446346774180545, 0.06942993985167098, 0.069412940516555, 0.06939512303557431, 0.069376306856454961, 0.069356352603072477, 0.069335158177119063, 0.069312654931249523, 0.06928880390998543, 0.06926359217598424, 0.069237029252176799, 0.069209143716236696, 0.069179979984361289, 0.069149595317839943, 0.069118057079669837, 0.069085440260717126, 0.069051825286572499, 0.069017296108073597, 0.068981938571011911, 0.068945839054166125, 0.068909083359696449, 0.068871755836145229, 0.068833938711774331, 0.068795711614602906, 0.068757151255126631, 0.068718331248124292, 0.068679322050993932, 0.068640190997547409, 0.068601002407961353, 0.068561817757514756, 0.068522695888723506, 0.068483693253433661, 0.068444864173296718, 0.06840626110877647, 0.068367934928415239, 0.068329935171490885, 0.068292310298437742, 0.068255107924480696, 0.068218375032858117, 0.068182158164801138, 0.068146503584107496, 0.068111457414716928, 0.06807706575018066, 0.068043374734331821, 0.068010430612826536, 0.06797827975554592, 0.067946968650145281, 0.067916543867308499, 0.06788705199853215, 0.067858539567523191, 0.067831052916550907, 0.067804638069354065, 0.067779340572466262, 0.067755205317079084, 0.067732276343819994, 0.067710596633069942, 0.067690207883677106, 0.067671150283133905, 0.06765346227246978, 0.067637180309254072, 0.067622338632213216, 0.067608969031010935, 0.067597100624741904, 0.067586759652620176, 0.067577969280213784, 0.067570749424383986, 0.067565116599819078, 0.067561083789738255, 0.067558660342953353, 0.067557851899046242, 0.067558390882766606, 0.067560006829824715, 0.067562696731595998, 0.067566455585928276, 0.067571276415287082, 0.067577150291781365, 0.067584066368699819, 0.067592011918086475, 0.067600972373790869, 0.067610931379341335, 0.067621870839906895, 0.06763377097754035, 0.067646610388831172, 0.067660366104036654, 0.067675013646715743, 0.067690527092846009, 0.067706879128380873, 0.067724041104177374, 0.067741983087219279, 0.067760673907057159, 0.067780081196395128, 0.067800171424776276, 0.06782090992434367, 0.067842260906700716, 0.067864187469944035, 0.067886651595010811, 0.06790961413056576, 0.067933034765754144, 0.067956871990266093, 0.067981083041305693, 0.068005623837227497, 0.068030448897809723, 0.068055511251375947, 0.068080762329257347, 0.068106151848424612, 0.068131627683503254, 0.068157135729833077, 0.068182619759746849, 0.068208021274825309, 0.068233279357542337, 0.06825833052644309, 0.068283108599797526, 0.068307544573533274, 0.068331566520161507, 0.068355099516347398, 0.068378065607711078, 0.068400383820335281, 0.068421970229251866, 0.068442738094813965, 0.068462598078256554, 0.068481458547819188, 0.068499225986446047, 0.068515805511193489, 0.068531101512949444, 0.068545018422818488, 0.06855746160846049, 0.068568338399758663, 0.068577559238422819, 0.0685850389405738, 0.068590698055138913, 0.068594464294231106, 0.068596274004894639, 0.068596073645069228, 0.068593821220810397, 0.068589487637215521, 0.068583057912655149, 0.06857453220527529, 0.0685639266026975, 0.068551273630637843, 0.068536622443834155, 0.068520038673025571, 0.068501603914333548, 0.068481414861602502, 0.068459582097216434, 0.068436228571655364, 0.068411487815598013, 0.068385501939779797, 0.068358419486301975, 0.068330393200114317, 0.068301577790701576, 0.068272127751630871, 0.068242195299894434, 0.068211928488472878, 0.068181469534990824, 0.068150953397560596, 0.068120506616750356, 0.06809024643083271, 0.068060280160715081, 0.068030704851703622, 0.068001607151816856, 0.067973063400881412, 0.067945139901088331, 0.067917893337935298, 0.067891371320295546, 0.067865613009464254, 0.067840649809136414, 0.067816506091075382, 0.067793199934457676, 0.06777074386030725, 0.067749145545853956, 0.067728408506927074, 0.067708532739521016, 0.067689515314373061, 0.067671350920743195, 0.067654032357570434, 0.067637550971809318, 0.067621897045047508, 0.067607060130501023, 0.06759302934321558, 0.067579793606808283, 0.067567341860399519, 0.067555663229545482, 0.067544747165019653, 0.067534583553234648, 0.067525162801964578, 0.067516475904848439, 0.067508514487936044, 0.067501270841299393, 0.06749473793848014, 0.067488909446286466, 0.06748377972719645, 0.067479343836374883, 0.067475597515064198, 0.067472537181877415, 0.067470159923292639, 0.067468463484430988, 0.06746744626099363, 0.067467107293026976], [0.061572080741553833, 0.061572742267498162, 0.061574726298280466, 0.061578031203189471, 0.061582654299143086, 0.06158859190273213, 0.06159583940286336, 0.061604391353806791, 0.06161424158841574, 0.061625383351278352, 0.061637809451574044, 0.061651512435443777, 0.061666484777757158, 0.061682719093270527, 0.061700208367319667, 0.061718946206390526, 0.061738927109167452, 0.061760146758974899, 0.061782602338914139, 0.061806292871472858, 0.061831219584948478, 0.061857386309715094, 0.061884799908178342, 0.061913470743254206, 0.061943413191393099, 0.061974646207606052, 0.062007193951699513, 0.062041086487050347, 0.062076360565874164, 0.062113060518172794, 0.062151239265565678, 0.062190959486252161, 0.062232294963692709, 0.062275332159660093, 0.062320172062611888, 0.062366932375611153, 0.06241575012524242, 0.062466784795509246, 0.062520222120427654, 0.062576278708583441, 0.062635207726049663, 0.062697305936100095, 0.062762922492868148, 0.062832470022878409, 0.062906438720160801, 0.062985414453055125, 0.063070102273125928, 0.063161357290206804, 0.063260225730154246, 0.063368000282018763, 0.063486295832455922, 0.063617154825556618, 0.063763196559555396, 0.063927833149613145, 0.064115589276487459, 0.064332588284535336, 0.064587313930265636, 0.064891846774547998, 0.065263955269295723, 0.065730809403979837, 0.066335976089115858, 0.067153586265099513, 0.068319768392026775, 0.070111182391413313, 0.073175504396653254, 0.079383816917672059, 0.096329951224202237, 0.1735729700987732, 0.1326094870613875, 0.067301753203068276, 0.060299201906686403, 0.059200673118243521, 0.059150117721340496, 0.05933163118459113, 0.059553977070983657, 0.059765709872755271, 0.059953722162018677, 0.060116521549168161, 0.060256128008949694, 0.060375419757195445, 0.060477251320897277, 0.060564185334658467, 0.060638440899907005, 0.060701914913668692, 0.060756223387321846, 0.060802743717435145, 0.060842651867803597, 0.06087695333501781, 0.060906508485189061, 0.060932053300701644, 0.060954216550130988, 0.060973534215460881, 0.06099046180908229, 0.061005385037254931, 0.061018629130131154, 0.061030467059948398, 0.061041126802094836, 0.06105079775078915, 0.061059636375028779, 0.061067771185501614, 0.061075307074978637, 0.061082329090259735, 0.061088905691026346, 0.061095091548757627, 0.061100929936550093, 0.061106454757965792, 0.061111692259892006, 0.061116662470886374, 0.061121380402755721, 0.061125857049302616, 0.061130100212407765, 0.061134115181996664, 0.061137905293043047, 0.061141472379636158, 0.061144817143308564, 0.06114793945029532, 0.061150838570165685, 0.061153513366320744, 0.061155962447162843, 0.061158184285291732, 0.061160177310841141, 0.061161939984011822, 0.061163470850963589, 0.061164768586466696, 0.061165832026072689, 0.061166660190018457, 0.061167252300612124, 0.061167607794448971, 0.061167726330455606, 0.061167706386666888, 0.061167646523638014, 0.061167546646250494, 0.061167406595537648, 0.061167226148027928, 0.06116700501481951, 0.061166742840379797, 0.061166439201062191, 0.061166093603329461, 0.061165705481672682, 0.061165274196210408, 0.061164799029952373, 0.06116427918570843, 0.061163713782620067, 0.061163101852291672, 0.061162442334491425, 0.061161734072391755, 0.061160975807313264, 0.061160166172932635, 0.061159303688909636, 0.061158386753883423, 0.061157413637782793, 0.061156382473386631, 0.061155291247065799, 0.061154137788626967, 0.061152919760171287, 0.061151634643868753, 0.061150279728537434, 0.061148852094903984, 0.061147348599404169, 0.061145765856367065, 0.061144100218403809, 0.061142347754800958, 0.061140504227690309, 0.061138565065737956, 0.061136525335059977, 0.061134379707032172, 0.061132122422614794, 0.061129747252759589, 0.061127247454404947, 0.061124615721491533, 0.061121844130347214, 0.061118924078691877, 0.061115846217396311, 0.061112600373995393, 0.061109175466794674, 0.061105559408222182, 0.061101738995853236, 0.061097699789271133, 0.061093425970610592, 0.061088900186252688, 0.061084103366686279, 0.061079014521006704, 0.061073610501861636, 0.061067865735858609, 0.061061751913475196, 0.061055237631329785, 0.061048287978219512, 0.061040864054546458, 0.061032922412553405, 0.06102441440206198, 0.06101528540301928, 0.061005473921932667, 0.060994910523992231, 0.060983516566057855, 0.060971202687376616, 0.060957867004458308, 0.060943392943443392, 0.060927646626951486, 0.060910473712153954, 0.060891695552163838, 0.060871104523685236, 0.060848458331328792, 0.060823473066961176, 0.060795814781038661, 0.060765089335884266, 0.060730830412042712, 0.060692485848131313, 0.060649403281032764, 0.060600817930805677, 0.060545849783251476, 0.060483527866492318, 0.060412884730640007, 0.060333228764612855, 0.060244875694456503, 0.060151125692575615, 0.060063896174268924, 0.060021378050872452, 0.060152238841902572, 0.060969010129604283, 0.065301574564897588, 0.098846654372459361, 0.12248309533444021, 0.081493685095937685, 0.071594809111878002, 0.067963180340694804, 0.066188363033056252, 0.065164615451135235, 0.064508724456725119, 0.064057353383329366, 0.063730361268211175, 0.063484223351399943, 0.063293417834282439, 0.063142055775699757, 0.06301975813625274, 0.062919472236399765, 0.062836245005051028, 0.062766499135641807, 0.062707587952059773, 0.06265751183140697, 0.062614731962411407, 0.062578044750644254, 0.062546495142991765, 0.062519315590582408, 0.06249588230141679, 0.062475683401086328, 0.062458295453267733, 0.062443365951898783, 0.062430600147300612, 0.062419751063516438, 0.062410611896745544, 0.062403010212196248, 0.062396803514925298, 0.062391875882345557, 0.062388135427113869, 0.062385512419067896, 0.062383957940518445, 0.062383442985171449, 0.062383957940518403, 0.062385512419067861, 0.062388135427113876, 0.06239187588234555, 0.062396803514925277, 0.062403010212196193, 0.062410611896745558, 0.062419751063516452, 0.06243060014730064, 0.062443365951898838, 0.062458295453267747, 0.0624756834010863, 0.062495882301416748, 0.062519315590582408, 0.062546495142991779, 0.062578044750644227, 0.062614731962411366, 0.062657511831406845, 0.062707587952059884, 0.06276649913564189, 0.062836245005050959, 0.062919472236399793, 0.063019758136252824, 0.063142055775699771, 0.063293417834282495, 0.063484223351400054, 0.063730361268211189, 0.064057353383329227, 0.064508724456724953, 0.06516461545113518, 0.066188363033057293, 0.067963180340695289, 0.071594809111879515, 0.08149368509594801, 0.12248309533449082, 0.098846654372491946, 0.065301574564902445, 0.060969010129603145, 0.06015223884190251, 0.060021378050872501, 0.06006389617426891, 0.060151125692575573, 0.060244875694456579, 0.060333228764612869, 0.060412884730639958, 0.060483527866492318, 0.060545849783251462, 0.060600817930805705, 0.060649403281032709, 0.060692485848131306, 0.060730830412042719, 0.060765089335884162, 0.060795814781038598, 0.060823473066961176, 0.060848458331328764, 0.060871104523685209, 0.060891695552163838, 0.060910473712153947, 0.06092764662695143, 0.060943392943443343, 0.060957867004458238, 0.060971202687376616, 0.060983516566057841, 0.060994910523992252, 0.061005473921932687, 0.061015285403019301, 0.061024414402061987, 0.061032922412553398, 0.061040864054546423, 0.061048287978219554, 0.061055237631329806, 0.061061751913475161, 0.061067865735858602, 0.06107361050186165, 0.061079014521006725, 0.0610841033666863, 0.061088900186252661, 0.061093425970610592, 0.061097699789271077, 0.061101738995853236, 0.061105559408222224, 0.06110917546679466, 0.061112600373995365, 0.06111584621739629, 0.061118924078691898, 0.061121844130347235, 0.061124615721491533, 0.061127247454404947, 0.061129747252759568, 0.061132122422614815, 0.061134379707032185, 0.061136525335059998, 0.061138565065737935, 0.061140504227690323, 0.061142347754800978, 0.061144100218403816, 0.061145765856367031, 0.061147348599404162, 0.061148852094903942, 0.061150279728537441, 0.061151634643868774, 0.061152919760171308, 0.061154137788626932, 0.061155291247065778, 0.061156382473386624, 0.061157413637782765, 0.061158386753883437, 0.061159303688909594, 0.061160166172932642, 0.061160975807313299, 0.061161734072391748, 0.061162442334491397, 0.061163101852291686, 0.061163713782620088, 0.061164279185708402, 0.061164799029952401, 0.061165274196210387, 0.061165705481672668, 0.061166093603329467, 0.06116643920106217, 0.061166742840379817, 0.061167005014819489, 0.061167226148027908, 0.061167406595537661, 0.061167546646250529, 0.061167646523638021, 0.061167706386666881, 0.061167726330455571, 0.061167716359871789, 0.061167686448024665, 0.061167636594626526, 0.061167566799196937, 0.061167477061060994, 0.061167367379347477, 0.061167237752985555, 0.061167088180701629, 0.061166918661015098, 0.06116672919223335, 0.061166519772446359, 0.06116629039952011, 0.061166041071089722, 0.06116577178455114, 0.061165482537052507, 0.061165173325484212, 0.06116484414646832, 0.061164494996346581, 0.0611641258711677, 0.06116373676667293, 0.061163327678281226, 0.061162898601072213, 0.061162449529768133, 0.061161980458714349, 0.061161491381858009, 0.061160982292725076, 0.061160453184395211, 0.061159904049475175, 0.061159334880069437, 0.061158745667748732, 0.061158136403516195, 0.06115750707777054, 0.061156857680266442, 0.061156188200071515, 0.06115549862552052, 0.061154788944164901, 0.061154059142719285, 0.061153309207003015, 0.061152539121877222, 0.061151748871177344, 0.061150938437639094, 0.061150107802819882, 0.061149256947012724, 0.061148385849153913, 0.061147494486722909, 0.061146582835634261, 0.061145650870120541, 0.061144698562605966, 0.061143725883569457, 0.061142732801396399, 0.061141719282218517, 0.061140685289739968, 0.061139630785049387, 0.061138555726415952, 0.061137460069068519, 0.061136343764955969, 0.061135206762487564, 0.061134049006250649, 0.061132870436704886, 0.061131670989849854, 0.061130450596863978, 0.06112920918371232, 0.06112794667071992, 0.061126662972108045, 0.061125357995489432, 0.061124031641318827, 0.0611226838022947, 0.061121314362707367, 0.061119923197728437, 0.061118510172636122, 0.061117075141969762, 0.061115617948607287, 0.061114138422757605, 0.061112636380859842, 0.061111111624380078, 0.061109563938495454, 0.061107993090654407, 0.061106398829000562, 0.061104780880646518, 0.061103138949782046, 0.061101472715600645, 0.061099781830024465, 0.061098065915207861, 0.061096324560796458, 0.061094557320915739, 0.061092763710861545, 0.061090943203460583, 0.061089095225066919, 0.061087219151154601, 0.061085314301465431, 0.061083379934662577, 0.061081415242438632, 0.061079419343019511, 0.061077391273998652, 0.061075329984431916, 0.061073234326110962, 0.061071103043931159, 0.061068934765254324, 0.061066727988161484, 0.061064481068478921, 0.061062192205448035, 0.06105985942590083, 0.061057480566787142, 0.061055053255890571, 0.061052574890554941, 0.061050042614234169, 0.061047453290667152, 0.061044803475472642, 0.061042089384955617, 0.061039306861921987, 0.06103645133830967, 0.061033517794470686, 0.061030500714986717, 0.061027394040968998, 0.061024191118905703, 0.061020884646275711, 0.061017466614378506, 0.061013928249150869, 0.061010259951192282, 0.06100645123684862, 0.061002490683066971, 0.060998365879926908, 0.060994063396385842, 0.060989568767015466, 0.060984866510571632, 0.060979940195439106, 0.060974772572743474, 0.060969345805813438, 0.060951332535069479, 0.060930412679627996, 0.060906580647785764, 0.060881229428621002, 0.060859853076369687, 0.060859371198305673, 0.060927833802895195, 0.061195088884567012, 0.061981431571530181, 0.063897601816127761, 0.067431802855531714, 0.071724519916456578, 0.074760034168865008, 0.075105396989675277, 0.072701971387438974, 0.069087216468034035, 0.065920417723539432, 0.063729984595384703, 0.062350764826868403, 0.061517065571922297, 0.061055157403826964, 0.060908517158832026, 0.061169875439394103, 0.062251154100768515, 0.065632217108709826, 0.077936215347596621, 0.13852429678555228, 0.19346797475609206, 0.11041040177475937, 0.084989984689521764, 0.075824308317326158, 0.071506181392695947, 0.0690992817832978, 0.067603157945376177, 0.066601035568696204, 0.0658929177408933, 0.065372356219122713, 0.064978042573515832, 0.064672404747479081, 0.064431231271643311, 0.064238257107292057, 0.064082163291623959, 0.063954828912237097, 0.063850268814955646, 0.063763964433963607, 0.063692429097712042, 0.063632918103618111, 0.063583230936576016, 0.063541573737641771, 0.063506462119718998, 0.063476651573730225, 0.063451087084370902, 0.063428866319625021, 0.063409212519770344, 0.063391454366910738, 0.063375010890597369, 0.063359379996493326, 0.06334412957879787, 0.063328890447093861, 0.063313350498549401, 0.063297249718688692, 0.063280375712033959, 0.063262559556535855, 0.063243671848416005, 0.063223618860490521, 0.063202338779749817, 0.063179798020913711, 0.063155987633545421, 0.063130919832705384, 0.063104624688617536, 0.063077147010937515, 0.063048543459413103, 0.063018879906333092, 0.06298822906834102, 0.062956668416893125, 0.06292427836861296, 0.062891140749559718, 0.062857337521324233, 0.062822949752053991, 0.062788056812023943, 0.062752735771143306, 0.062717060974687794, 0.062681103773395336, 0.06264493238467865, 0.06260861186289679, 0.062572204158224745, 0.062535768245504164, 0.062499360306432772, 0.062463033950444752, 0.062426840461578238, 0.062390829060462179, 0.062355047172244271, 0.062319540692812141, 0.062284354247012279, 0.062249531433757943, 0.062215115053938189, 0.062181147317911301, 0.062147670030106725, 0.06211472474887874, 0.062082352920278243, 0.062050595984849646, 0.062019495456934179, 0.0619890929762845, 0.06195943033208072, 0.061930549459700591, 0.061902492410834759, 0.061875301297776193, 0.061849018212941156, 0.061823685124909128, 0.061799343752501679, 0.061776035418657477, 0.061753800886091288, 0.061732680176961006, 0.061712712378991709, 0.061693935440718821, 0.061676385958706448, 0.061660098959767429, 0.061645107681343472, 0.061631443353306052, 0.061619134984479289, 0.061608209157189828, 0.061598689833083822, 0.061590598173331436, 0.061583952376159989, 0.061578767534408586, 0.061575055515502158, 0.06157282486588541, 0.061572080741553833, 0.061572576843652464, 0.061574064230756093, 0.061576540148707393, 0.061580000018587988, 0.061584437453558502, 0.061589844282082556, 0.061596210577189607, 0.061603524691336405, 0.061611773296340877, 0.061620941427780053, 0.061631012533166926, 0.061641968523152943, 0.061653789824941747, 0.061666455437046123, 0.061679942984475822, 0.061694228773404088, 0.061709287844338753, 0.061725094022796946, 0.061741619966477396, 0.061758837207920365, 0.061776716191651176, 0.061795226304823363, 0.061814335900398608, 0.061834012311942965, 0.061854221859162749, 0.061874929843365144, 0.06189610053210455, 0.061917697132366376, 0.061939681751749062, 0.061962015347239975, 0.061984657661335971, 0.062007567145449555, 0.062030700870765502, 0.062054014426971775, 0.062077461809602906, 0.062100995297091247, 0.062124565319040967, 0.062148120317720976, 0.062171606605322144, 0.062194968220142741, 0.062218146785557898, 0.062241081376387987, 0.062263708398101691, 0.062285961485161703, 0.062307771425720221, 0.06232906612077526, 0.06234977058676245, 0.062369807011338561, 0.062389094872743786, 0.06240755113353947, 0.062425090519622563, 0.062441625895115031, 0.062457068742924941, 0.062471329759363516, 0.062484319569093345, 0.06249594956379656, 0.062506132864243308, 0.06251478540090849, 0.062521827102983041, 0.06252718317968381, 0.062530785471388683, 0.06253257384160596, 0.06253249757450724, 0.062530516737149711, 0.062526603461084254, 0.062520743095280065, 0.062512935181662441, 0.06250319420642067, 0.062491550084831628, 0.062478048344696668, 0.062462749983423223, 0.062445730985874387, 0.062427081503728832, 0.062406904711413115, 0.062385315367759243, 0.062362438125443828, 0.062338405641081, 0.062313356546831879, 0.062287433349044276, 0.062260780320509024, 0.062233541450474703, 0.062205858510922904, 0.062177869289339847, 0.06214970602803873, 0.06212149409879502, 0.062093350929952197, 0.062065385191971335, 0.0620376962372391, 0.062010373781266816, 0.061983497805487363, 0.061957138656805362, 0.061931357315844766, 0.061906205804331364, 0.061881727702017358, 0.061857958744731316, 0.061834927477230343, 0.06181265593726374, 0.061791160350363729, 0.061770451818150718, 0.061750536986184802, 0.06173141868048742, 0.061713096504695725, 0.061695567392337163, 0.061678826110897041, 0.061662865716186809, 0.061647677957020475, 0.061633253631392514, 0.061619582896254632, 0.061606655533647706, 0.061594461176391981, 0.061582989496813692, 0.0615722303621151, 0.061562173960015308, 0.061552810898221781, 0.061544132281157786, 0.061536129767196059, 0.061528795609435749, 0.061522122682833517, 0.061516104500259357, 0.061510735219806593, 0.061506009645444226, 0.061501923222866878, 0.061498472032167649, 0.061495652778743852, 0.061493462783633171, 0.061491899974276905, 0.061490962876516661, 0.061490650608440438], [0.056827214961104044, 0.056827835096452096, 0.056829695001645815, 0.05683279318408431, 0.056837127189238688, 0.056842693650260692, 0.056849488357239769, 0.056857506345934658, 0.056866742005776558, 0.056877189206935172, 0.05688884144625847, 0.056901692011936497, 0.05691573416681725, 0.05693096135041547, 0.05694736739980745, 0.056964946789805321, 0.056983694893061196, 0.057003608261067991, 0.057024684927409128, 0.057046924735085006, 0.057070329690307127, 0.057094904345840171, 0.057120656217787412, 0.057147596240710787, 0.057175739267166313, 0.05720510461918335, 0.057235716700977449, 0.057267605684338752, 0.057300808280789567, 0.057335368617889584, 0.057371339241155332, 0.057408782268202806, 0.057447770728205318, 0.057488390128021566, 0.057530740296931782, 0.057574937575594967, 0.057621117432629147, 0.057669437615565991, 0.057720081973823306, 0.057773265132574449, 0.057829238251973003, 0.057888296181831597, 0.057950786425911942, 0.058017120474778694, 0.058087788270122162, 0.058163376854569848, 0.058244594682514285, 0.058332303687349853, 0.058427562127659545, 0.05853168264758097, 0.058646312183368368, 0.058773543841829187, 0.058916076572528668, 0.059077448004259139, 0.059262382328458409, 0.059477324687260941, 0.059731288656688683, 0.060037251024463362, 0.060414549608575834, 0.060893225555599721, 0.061522399381496132, 0.062387742725316518, 0.063651739771450902, 0.06565948346591613, 0.069272028704158412, 0.077239880157992324, 0.10286738777949121, 0.22677546141117857, 0.08989612034753873, 0.059345131178506504, 0.055390509884335554, 0.054721451215402707, 0.054721570330541341, 0.054880975981417876, 0.055068828048494473, 0.055247568133684422, 0.055407023133643402, 0.055545804362593591, 0.05566534779284793, 0.055767861421731339, 0.055855604307367315, 0.055930647748225336, 0.05599481518837543, 0.05604968666996344, 0.056096623807605397, 0.056136798516197232, 0.056171219587168073, 0.05620075552634711, 0.056226153697890767, 0.056248056339643547, 0.056267014090102221, 0.056283497580288423, 0.056297907516266434, 0.056310583558498543, 0.056321812209117778, 0.056331833849731054, 0.056340849026963243, 0.056349024055258927, 0.056356495991178132, 0.056363377026098289, 0.056369758341476395, 0.056375713470259187, 0.056381301208128946, 0.056386568118168265, 0.056391550671801911, 0.056396277067407713, 0.056400768765848798, 0.056405041779500689, 0.056409107748317346, 0.056412974833262068, 0.056416648454175988, 0.056420131895982176, 0.056423426804112893, 0.056426533587255967, 0.05642945174297756, 0.056432180119500075, 0.05643471712490275, 0.056437060893247099, 0.056439209415601703, 0.056441160642624444, 0.05644291256423304, 0.056444463270937495, 0.056445811000594412, 0.056446954173654335, 0.056447891419392049, 0.056448621595115579, 0.056449143799928415, 0.056449457384259036, 0.056449561956054981, 0.056449544233879587, 0.056449491039372274, 0.056449402288474559, 0.056449277840703894, 0.056449117498573932, 0.056448921006777182, 0.056448688051125025, 0.056448418257238051, 0.056448111188977822, 0.0564477663466098, 0.056447383164684839, 0.05644696100962461, 0.056446499176995027, 0.056445996888447189, 0.056445453288306364, 0.056444867439782678, 0.056444238320777142, 0.056443564819251675, 0.056442845728129062, 0.056442079739683446, 0.056441265439378024, 0.056440401299102612, 0.056439485669754721, 0.056438516773105664, 0.056437492692881924, 0.05643641136498715, 0.056435270566778717, 0.056434067905303233, 0.056432800804384842, 0.056431466490444088, 0.056430061976913179, 0.056428584047094089, 0.056427029235287203, 0.056425393805996038, 0.056423673730987084, 0.056421864663955719, 0.056419961912513902, 0.056417960407177357, 0.056415854666984511, 0.056413638761327919, 0.056411306267517426, 0.056408850223525431, 0.05640626307528139, 0.056403536617788436, 0.056400661929221427, 0.056397629297035706, 0.056394428134959422, 0.056391046889560502, 0.056387472934861828, 0.056383692453221543, 0.056379690300388662, 0.056375449852277743, 0.056370952830568838, 0.056366179103709911, 0.056361106459265078, 0.056355710342780752, 0.056349963557409719, 0.056343835917395731, 0.056337293847132368, 0.056330299915809783, 0.056322812295572233, 0.056314784128534474, 0.056306162784825496, 0.056296888989896141, 0.056286895794458842, 0.056276107354403589, 0.056264437480596827, 0.056251787909329366, 0.056238046233055894, 0.056223083417745651, 0.056206750817675351, 0.056188876581436717, 0.056169261326185008, 0.05614767294530254, 0.056123840417918736, 0.056097446529102674, 0.05606811953363465, 0.056035424103124176, 0.055998852598946811, 0.055957819280066309, 0.055911663543379307, 0.055859676185750912, 0.055801181056604622, 0.055735749102758109, 0.055663736340146597, 0.05558765276990809, 0.055515820691187406, 0.055473007181435621, 0.055535497259932669, 0.055970844604382279, 0.057984518653117233, 0.070113905412782812, 0.14207462352096994, 0.08908997228947152, 0.069950673932809848, 0.064373830438378743, 0.061976172944253824, 0.060694997717854596, 0.059914289599527042, 0.059395553701047377, 0.059029337538360115, 0.058759048390206917, 0.058552729643224027, 0.058391071724413407, 0.058261763618221565, 0.058156606612620287, 0.058069939831169835, 0.057997733875871531, 0.0579370450374306, 0.057885673823457655, 0.057841944191054213, 0.05780455670455633, 0.057772488418160364, 0.057744923124610575, 0.057721201833666844, 0.057700787030690898, 0.057683236512472272, 0.057668184001824586, 0.057655324640652636, 0.057644404047693817, 0.057635210017563825, 0.057627566202411828, 0.057621327300131732, 0.057616375401445756, 0.057612617240205194, 0.057609982158775393, 0.057608420651302401, 0.05760790338741701, 0.057608420651302367, 0.057609982158775372, 0.057612617240205215, 0.05761637540144577, 0.057621327300131718, 0.057627566202411759, 0.057635210017563838, 0.057644404047693838, 0.057655324640652685, 0.057668184001824656, 0.057683236512472265, 0.05770078703069087, 0.057721201833666795, 0.057744923124610575, 0.057772488418160385, 0.057804556704556316, 0.057841944191054144, 0.057885673823457544, 0.057937045037430676, 0.057997733875871593, 0.058069939831169808, 0.058156606612620308, 0.058261763618221635, 0.058391071724413407, 0.05855272964322409, 0.058759048390207021, 0.059029337538360115, 0.059395553701047189, 0.059914289599526847, 0.060694997717854589, 0.061976172944255087, 0.064373830438379478, 0.069950673932812499, 0.089089972289493766, 0.14207462352095232, 0.070113905412793956, 0.057984518653119446, 0.055970844604381696, 0.055535497259932634, 0.055473007181435642, 0.055515820691187386, 0.055587652769908048, 0.055663736340146666, 0.055735749102758129, 0.055801181056604587, 0.055859676185750919, 0.0559116635433793, 0.05595781928006633, 0.055998852598946769, 0.056035424103124155, 0.05606811953363465, 0.056097446529102597, 0.056123840417918687, 0.056147672945302526, 0.056169261326184973, 0.056188876581436696, 0.056206750817675372, 0.056223083417745651, 0.056238046233055859, 0.056251787909329332, 0.056264437480596785, 0.056276107354403582, 0.056286895794458829, 0.056296888989896168, 0.05630616278482551, 0.056314784128534488, 0.056322812295572226, 0.056330299915809783, 0.056337293847132354, 0.056343835917395758, 0.056349963557409712, 0.056355710342780738, 0.056361106459265085, 0.056366179103709946, 0.056370952830568873, 0.056375449852277749, 0.056379690300388655, 0.056383692453221557, 0.056387472934861793, 0.056391046889560495, 0.056394428134959457, 0.056397629297035713, 0.056400661929221413, 0.056403536617788422, 0.056406263075281404, 0.056408850223525424, 0.05641130626751744, 0.056413638761327906, 0.056415854666984483, 0.056417960407177351, 0.056419961912513909, 0.056421864663955719, 0.056423673730987056, 0.056425393805996038, 0.056427029235287231, 0.05642858404709411, 0.056430061976913151, 0.056431466490444074, 0.056432800804384807, 0.05643406790530324, 0.056435270566778724, 0.056436411364987185, 0.056437492692881897, 0.056438516773105657, 0.056439485669754708, 0.056440401299102584, 0.056441265439378045, 0.056442079739683411, 0.05644284572812909, 0.05644356481925171, 0.056444238320777142, 0.056444867439782678, 0.056445453288306364, 0.056445996888447203, 0.056446499176995034, 0.056446961009624652, 0.056447383164684853, 0.056447766346609807, 0.056448111188977829, 0.056448418257238037, 0.056448688051125018, 0.056448921006777203, 0.056449117498573911, 0.056449277840703888, 0.056449402288474566, 0.056449491039372295, 0.056449544233879594, 0.056449561956054925, 0.056449553096138215, 0.056449526516456301, 0.056449482217214256, 0.056449420198753202, 0.056449340461549827, 0.056449243006215559, 0.056449127833495025, 0.05644899494426469, 0.056448844339531144, 0.056448676020428717, 0.056448489988217054, 0.056448286244278202, 0.056448064790113495, 0.056447825627339493, 0.056447568757684065, 0.056447294182981569, 0.056447001905167757, 0.056446691926273773, 0.056446364248419922, 0.056446018873808214, 0.056445655804714716, 0.056445275043480715, 0.056444876592502996, 0.056444460454223321, 0.056444026631116792, 0.056443575125678866, 0.056443105940411277, 0.056442619077806691, 0.056442114540331552, 0.056441592330407506, 0.056441052450391008, 0.056440494902551021, 0.056439919689044472, 0.056439326811889456, 0.05643871627293618, 0.056438088073834679, 0.056437442216000201, 0.056436778700574612, 0.056436097528384903, 0.056435398699897672, 0.056434682215169132, 0.056433948073791103, 0.056433196274831517, 0.056432426816769972, 0.056431639697426844, 0.056430834913886695, 0.056430012462414116, 0.056429172338362123, 0.056428314536072402, 0.056427439048766154, 0.056426545868425423, 0.0564256349856634, 0.056424706389582982, 0.056423760067622626, 0.056422796005387937, 0.056421814186468175, 0.056420814592236045, 0.056419797201628728, 0.056418761990909512, 0.056417708933407383, 0.056416637999232445, 0.056415549154965515, 0.056414442363318766, 0.05641331758276541, 0.056412174767134469, 0.056411013865168558, 0.05640983482003975, 0.056408637568820773, 0.056407422041906054, 0.05640618816237869, 0.056404935845317458, 0.05640366499703791, 0.056402375514261624, 0.056401067283206034, 0.056399740178586878, 0.05639839406252474, 0.056397028783346084, 0.05639564417426781, 0.056394240051953967, 0.056392816214931155, 0.056391372441848657, 0.056389908489566987, 0.056388424091057224, 0.056386918953092169, 0.05638539275370652, 0.056383845139403616, 0.056382275722080842, 0.056380684075645629, 0.056379069732288088, 0.056377432178376229, 0.056375770849931943, 0.056374085127645482, 0.056372374331378865, 0.056370637714104589, 0.056368874455221422, 0.056367083653179745, 0.056365264317347827, 0.056363415359037133, 0.056361535581601743, 0.056359623669517189, 0.056357678176335115, 0.0563556975114025, 0.056353679925224151, 0.056351623493339387, 0.056349526098574181, 0.056347385411523739, 0.056345198869114356, 0.056342963651089144, 0.056340676654263691, 0.056338334464403984, 0.05633593332559194, 0.05633346910696823, 0.056330937266784252, 0.056328332813751533, 0.056325650265769689, 0.056322883606234247, 0.056320026238306162, 0.056317070937765154, 0.056314009805402888, 0.056310834220365452, 0.056307534796466427, 0.05630410134431825, 0.056300522843236701, 0.05629678742835801, 0.056292882400391625, 0.056288794268081248, 0.056284508836977616, 0.056280011362835773, 0.056265096986370292, 0.056247771441635883, 0.056227907473475516, 0.056206185894959598, 0.056185491128476192, 0.056174194452962831, 0.056193433946810131, 0.056291413199600675, 0.056563762325555211, 0.057154412655557554, 0.058158637631213761, 0.059392727230951577, 0.06031794764730327, 0.060446713067930875, 0.059796530471444682, 0.058782412391590523, 0.057793269837656688, 0.056999712503879585, 0.05641835647857231, 0.056014139970660265, 0.055756574649961976, 0.055646631930378103, 0.055748715435424243, 0.056282157714365552, 0.05796171330002186, 0.063633778189398582, 0.089801538856418367, 0.21181150937144685, 0.13132833397132174, 0.086043520188716055, 0.072889953616854242, 0.067429359339715708, 0.064602338174652219, 0.062925667083980355, 0.061837890549945949, 0.061086579158603445, 0.060543534570642141, 0.060137480579517573, 0.059825918814202142, 0.059582057476728102, 0.059388218042317892, 0.059232280456660465, 0.059105658520544557, 0.059002092672489945, 0.058916901683944679, 0.05884650321816972, 0.058788097838837781, 0.058739455654225822, 0.058698769276938685, 0.05866455072654151, 0.058635558101911699, 0.058610742809255267, 0.058589211208951407, 0.058570196499547873, 0.058553037927876479, 0.058537165258896837, 0.05852208701373799, 0.058507381385653298, 0.058492689031280153, 0.058477707146531908, 0.05846218439654674, 0.058445916392504849, 0.058428741504337453, 0.058410536873457028, 0.05839121454761402, 0.058370717703573959, 0.058349016954654088, 0.058326106761076128, 0.058302001973307184, 0.058276734543732008, 0.058250350441739526, 0.058222906803136069, 0.05819446933808807, 0.058165110013743804, 0.058134905019252774, 0.058103933012837679, 0.058072273643392319, 0.058040006333102176, 0.058007209302954402, 0.057973958819733669, 0.057940328641106882, 0.057906389634528994, 0.057872209545770902, 0.057837852893681103, 0.05780338096915201, 0.057768851917997605, 0.057734320889402176, 0.057699840233655729, 0.057665459734939251, 0.057631226866900059, 0.057597187060605806, 0.057563383976153133, 0.057529859770723571, 0.057496655357209159, 0.057463810648688288, 0.057431364785021033, 0.057399356338670576, 0.057367823497562094, 0.057336804223375649, 0.057306336384158663, 0.05727645786055123, 0.057247206625260776, 0.057218620795716296, 0.057190738660090029, 0.057163598677108837, 0.057137239450291873, 0.057111699677463434, 0.057087018076595553, 0.057063233289241913, 0.057040383763036925, 0.057018507614948297, 0.056997642477185258, 0.056977825327880934, 0.056959092308875608, 0.056941478533126519, 0.056925017884449397, 0.056909742812457309, 0.056895684125685256, 0.056882870785984821, 0.056871329707312367, 0.056861085562036229, 0.056852160597828924, 0.05684457446809621, 0.056838344078726545, 0.056833483453708991, 0.056830003621890154, 0.056827912526800979, 0.056827214961104044, 0.056827680022640617, 0.056829074351352843, 0.056831395382769871, 0.056834638853461586, 0.056838798816903555, 0.056843867665354465, 0.056849836157418288, 0.056856693450874074, 0.056864427140274086, 0.056873023298733241, 0.05688246652325997, 0.056892739982913443, 0.056903825469015026, 0.056915703446588535, 0.056928353106163967, 0.056941752415039425, 0.05695587816707489, 0.05697070603006589, 0.056986210589738427, 0.057002365389402711, 0.05701914296430699, 0.057036514869750518, 0.057054451702033375, 0.057072923111358628, 0.05709189780584277, 0.057111343545845551, 0.057131227127901286, 0.057151514357616291, 0.057172170010998433, 0.057193157783810712, 0.057214440228684563, 0.057235978679908275, 0.057257733166015276, 0.057279662310543371, 0.057301723221632621, 0.057323871371471061, 0.057346060466996938, 0.057368242313728529, 0.057390366675119507, 0.057412381130435973, 0.057434230934818871, 0.057455858885934248, 0.057477205202412333, 0.057498207420129024, 0.057518800313266706, 0.057538915847981008, 0.057558483177358732, 0.057577428687131567, 0.057595676102250519, 0.057613146664855182, 0.05762975939430591, 0.057645431439689393, 0.057660078534463789, 0.057673615561571127, 0.057685957235322848, 0.057697018903580637, 0.05770671747015961, 0.057714972432973924, 0.057721707028273388, 0.057726849465511328, 0.057730334231138505, 0.057732103433224075, 0.057732108152636574, 0.057730309761008541, 0.057726681161348228, 0.057721207904437313, 0.057713889133526729, 0.057704738311671076, 0.057693783690557471, 0.057681068486915704, 0.057666650742363171, 0.0576506028544123, 0.057633010779724131, 0.057613972924707116, 0.057593598752312937, 0.057572007146429849, 0.057549324585730345, 0.057525683186482185, 0.057501218678179457, 0.057476068376685757, 0.057450369216971622, 0.057424255901821188, 0.057397859214642757, 0.057371304534462875, 0.057344710580104624, 0.057318188399235574, 0.057291840607125923, 0.05726576087017346, 0.057240033620945832, 0.057214733984930946, 0.057189927894462318, 0.057165672362356812, 0.057142015886518994, 0.057118998956896913, 0.057096654637451477, 0.057075009197938273, 0.057054082773027252, 0.057033890029343552, 0.057014440824205891, 0.056995740842981361, 0.056977792204952415, 0.056960594030307642, 0.056944142963273714, 0.056928433648473227, 0.05691345915932134, 0.056899211378677081, 0.056885681333067283, 0.056872859482632605, 0.05686073596954614, 0.056849300828053763, 0.056838544159523344, 0.056828456275993637, 0.056819027815712964, 0.056810249834079916, 0.056802113873258051, 0.056794612013559058, 0.056787736909479768, 0.056781481813056651, 0.056775840586969308, 0.056770807709592558, 0.056766378273965384, 0.056762547982423937, 0.056759313138426568, 0.056756670636895538, 0.056754617954199317, 0.0567531531387101, 0.056752274802692612, 0.056751982116100601], [0.053712663865992952, 0.053713260651105023, 0.053715050536648892, 0.053718032122976121, 0.053722203109741185, 0.053727560344412735, 0.053734099890011322, 0.053741817111916876, 0.053750706783565007, 0.053760763210849799, 0.053771980375075856, 0.053784352094346156, 0.053797872203355059, 0.053812534751674364, 0.053828334220777235, 0.053845265760252461, 0.05386332544392404, 0.0538825105469165, 0.053902819845101119, 0.053924253938844209, 0.053946815603557664, 0.053970510170256836, 0.053995345940169921, 0.054021334638466104, 0.05404849191339603, 0.054076837888631976, 0.054106397778417789, 0.054137202577368176, 0.054169289839512712, 0.054202704564597956, 0.054237500213927418, 0.054273739883396115, 0.054311497668172774, 0.054350860262164583, 0.054391928846549142, 0.054434821336101176, 0.054479675070884269, 0.054526650065679659, 0.054575932962440406, 0.054627741875140558, 0.054682332376008058, 0.054740004953573188, 0.054801114385450544, 0.054866081625964444, 0.054935409031166935, 0.05500970006288082, 0.055089685077905542, 0.055176255495637032, 0.0552705096716751, 0.055373815392045139, 0.055487896389627207, 0.05561495427321056, 0.055757843824591848, 0.05592033074016179, 0.056107480352737202, 0.05632626119101742, 0.056586514090362194, 0.056902570374436079, 0.057296081726215392, 0.057801251328624403, 0.058475181820478526, 0.059420154201239604, 0.060837118022742546, 0.063174289663099722, 0.067634444603562008, 0.078545762853792306, 0.1217082683166161, 0.21687514883489706, 0.069514287903805955, 0.054525680653421407, 0.052181101794603904, 0.051777063557782499, 0.051814421114078399, 0.051962076257985185, 0.052128388344627852, 0.052285685416792946, 0.052426199174256449, 0.052548848490052071, 0.052654799307101888, 0.052745871400417775, 0.052823955201933941, 0.052890807834294513, 0.052947994990745997, 0.052996887939854409, 0.053038679500352758, 0.053074404673547765, 0.053104960593276421, 0.053131124142738712, 0.053153567045691935, 0.053172868746586298, 0.053189527504449774, 0.053203970083138347, 0.053216560333473141, 0.053227606876068125, 0.053237370023818002, 0.053246068033475834, 0.053253882744271917, 0.053260964643965632, 0.053267437394763723, 0.053273401849490878, 0.05327893958944261, 0.053284116017539546, 0.053288983042520076, 0.053293581391301137, 0.053297942587047731, 0.053302090629904555, 0.053306043415901207, 0.053309813927429728, 0.05331341122613191, 0.053316841276209267, 0.053320107623250866, 0.05332321195078478, 0.05332615453399691, 0.053328934607481858, 0.053331550661534229, 0.053334000679371038, 0.053336282325798137, 0.053338393096186987, 0.053340330433199731, 0.053342091817469857, 0.053343674837392142, 0.053345077242279472, 0.053346296982385397, 0.053347332238646503, 0.05334818144445725, 0.053348843301328705, 0.053349316789891202, 0.053349601177365064, 0.05334969602233007, 0.053349679833072421, 0.053349631239868835, 0.053349550166322618, 0.05334943648475584, 0.053349290015682192, 0.05334911052706369, 0.05334889773334716, 0.053348651294273519, 0.053348370813452305, 0.053348055836692054, 0.053347705850075214, 0.05334732027776435, 0.05334689847952525, 0.053346439747949038, 0.053345943305354873, 0.053345408300350255, 0.053344833804025195, 0.053344218805751777, 0.05334356220855891, 0.053342862824046766, 0.05334211936680211, 0.053341330448272092, 0.053340494570046443, 0.053339610116494997, 0.053338675346699296, 0.053337688385610753, 0.053336647214359136, 0.053335549659626266, 0.053334393381989816, 0.053333175863129738, 0.05333189439177697, 0.053330546048269138, 0.053329127687560138, 0.053327635920511832, 0.053326067093272603, 0.053324417264522909, 0.05332268218033763, 0.053320857246381664, 0.053318937497115325, 0.053316917561642918, 0.053314791625782787, 0.053312553389878913, 0.053310196021802432, 0.05330771210450979, 0.053305093577427701, 0.053302331670823405, 0.053299416832185711, 0.053296338643487907, 0.053293085728018649, 0.053289645645251196, 0.053286004771962506, 0.053282148167506378, 0.053278059420779379, 0.053273720475978267, 0.053269111433721941, 0.053264210323475031, 0.053258992842445493, 0.053253432055199133, 0.053247498047108051, 0.05324115752337729, 0.053234373343720158, 0.05322710398070539, 0.053219302887292999, 0.053210917756005997, 0.053201889648425219, 0.053192151969100869, 0.053181629252387431, 0.053170235723967327, 0.053157873590814864, 0.053144431004049156, 0.053129779628799348, 0.053113771744680585, 0.053096236791780937, 0.053076977274590369, 0.05305576394926708, 0.053032330266896341, 0.053006366165468707, 0.052977511575407032, 0.052945350592967733, 0.05290940853553653, 0.052869156797157917, 0.052824036332435528, 0.052773523890548971, 0.052717296234877344, 0.052655624240194467, 0.052590330288777437, 0.052527217430245618, 0.052482700182956081, 0.052503976492040874, 0.052740891574666889, 0.053770517626785266, 0.058738333045032613, 0.096683261498047998, 0.11506133637018078, 0.072842194973370036, 0.063217127160404438, 0.059730284271509726, 0.058038789808314971, 0.057068578629879373, 0.056449854198280205, 0.056025735267022723, 0.055719542771608517, 0.055489769698618907, 0.055312148522357218, 0.055171610726378384, 0.055058336488797509, 0.05496566750326555, 0.054888936912154705, 0.054824780304876121, 0.054770712815280363, 0.054724860193252893, 0.054685782490151082, 0.054652355359555059, 0.054623688277915708, 0.05459906705302657, 0.054577912689913945, 0.054559751508588439, 0.05454419315137176, 0.05453091421956912, 0.054519645991374342, 0.054510165142406225, 0.054502286705742531, 0.054495858724199327, 0.054490758198111479, 0.054486888038905112, 0.054484174816634257, 0.054482567147885456, 0.054482034615497513, 0.054482567147885436, 0.05448417481663425, 0.054486888038905126, 0.054490758198111479, 0.05449585872419932, 0.054502286705742475, 0.05451016514240626, 0.054519645991374349, 0.054530914219569133, 0.054544193151371823, 0.054559751508588432, 0.05457791268991391, 0.054599067053026529, 0.054623688277915722, 0.054652355359555087, 0.054685782490151061, 0.054724860193252831, 0.054770712815280252, 0.054824780304876204, 0.054888936912154802, 0.054965667503265501, 0.055058336488797537, 0.05517161072637846, 0.055312148522357253, 0.055489769698618963, 0.055719542771608663, 0.056025735267022696, 0.056449854198280032, 0.057068578629879116, 0.058038789808314915, 0.059730284271511523, 0.063217127160405409, 0.072842194973374796, 0.11506133637022961, 0.096683261497985312, 0.058738333045037006, 0.053770517626786349, 0.052740891574666583, 0.052503976492040839, 0.052482700182956109, 0.052527217430245597, 0.052590330288777416, 0.052655624240194515, 0.052717296234877371, 0.052773523890548922, 0.052824036332435514, 0.05286915679715791, 0.052909408535536558, 0.052945350592967684, 0.052977511575407019, 0.053006366165468742, 0.053032330266896271, 0.053055763949267039, 0.053076977274590348, 0.053096236791780903, 0.053113771744680578, 0.053129779628799348, 0.053144431004049149, 0.053157873590814822, 0.053170235723967313, 0.053181629252387369, 0.053192151969100869, 0.053201889648425212, 0.053210917756006018, 0.053219302887292999, 0.053227103980705404, 0.053234373343720158, 0.05324115752337729, 0.05324749804710803, 0.053253432055199168, 0.053258992842445493, 0.05326421032347501, 0.053269111433721927, 0.053273720475978274, 0.0532780594207794, 0.053282148167506392, 0.053286004771962506, 0.053289645645251203, 0.053293085728018622, 0.053296338643487914, 0.05329941683218576, 0.053302331670823377, 0.053305093577427673, 0.053307712104509783, 0.053310196021802446, 0.053312553389878919, 0.053314791625782801, 0.053316917561642911, 0.053318937497115304, 0.053320857246381657, 0.053322682180337651, 0.053324417264522916, 0.053326067093272589, 0.053327635920511846, 0.053329127687560166, 0.053330546048269152, 0.053331894391776949, 0.053333175863129717, 0.053334393381989774, 0.053335549659626266, 0.053336647214359156, 0.05333768838561076, 0.053338675346699269, 0.053339610116494983, 0.053340494570046443, 0.053341330448272092, 0.05334211936680211, 0.053342862824046752, 0.053343562208558931, 0.053344218805751797, 0.053344833804025202, 0.053345408300350269, 0.053345943305354887, 0.053346439747949059, 0.053346898479525243, 0.053347320277764357, 0.053347705850075214, 0.053348055836692061, 0.053348370813452319, 0.053348651294273512, 0.053348897733347167, 0.05334911052706371, 0.053349290015682171, 0.053349436484755847, 0.053349550166322632, 0.053349631239868862, 0.053349679833072421, 0.053349696022330029, 0.053349687928777242, 0.053349663648322519, 0.053349623181577092, 0.053349566529559606, 0.053349493693696112, 0.053349404675820347, 0.053349299478173309, 0.053349178103403568, 0.053349040554567101, 0.053348886835127146, 0.053348716948954183, 0.053348530900325451, 0.053348328693924946, 0.053348110334842637, 0.053347875828574039, 0.053347625181019286, 0.053347358398482224, 0.053347075487669038, 0.053346776455686785, 0.053346461310041289, 0.05334613005863504, 0.053345782709764304, 0.053345419272115925, 0.053345039754763346, 0.05334464416716235, 0.053344232519145642, 0.053343804820916815, 0.053343361083043557, 0.053342901316449587, 0.0533424255324055, 0.053341933742518652, 0.053341425958721184, 0.053340902193256962, 0.053340362458666468, 0.053339806767770136, 0.053339235133649347, 0.053338647569625398, 0.053338044089235669, 0.053337424706207365, 0.0533367894344281, 0.053336138287912942, 0.053335471280768272, 0.053334788427151184, 0.053334089741224819, 0.053333375237108578, 0.05333264492882335, 0.053331898830230678, 0.053331136954965844, 0.053330359316363728, 0.053329565927377032, 0.053328756800486474, 0.053327931947601388, 0.053327091379950529, 0.053326235107961778, 0.053325363141129782, 0.053324475487870338, 0.053323572155360426, 0.053322653149362034, 0.053321718474028779, 0.05332076813169348, 0.053319802122634492, 0.053318820444819268, 0.05331782309362252, 0.053316810061516874, 0.05331578133773289, 0.053314736907885851, 0.053313676753565881, 0.053312600851887798, 0.053311509174996552, 0.05331040168952441, 0.053309278355994305, 0.05330813912816447, 0.053306983952308581, 0.05330581276642473, 0.053304625499365751, 0.053303422069883873, 0.053302202385579943, 0.053300966341748364, 0.053299713820106599, 0.053298444687397847, 0.053297158793853598, 0.053295855971501785, 0.05329453603230444, 0.053293198766107844, 0.05329184393838491, 0.053290471287748838, 0.053289080523214134, 0.053287671321178696, 0.053286243322097616, 0.053284796126817371, 0.053283329292533953, 0.053281842328336305, 0.053280334690292377, 0.053278805776028781, 0.053277254918753562, 0.05327568138066225, 0.053274084345666509, 0.053272462911373678, 0.053270816080242804, 0.053269142749834443, 0.053267441702063795, 0.053265711591361092, 0.053263950931633483, 0.053262158081917504, 0.053260331230602864, 0.053258468378102532, 0.053256567317840245, 0.05325462561542256, 0.053252640585864298, 0.053250609268740763, 0.053248528401151886, 0.053246394388401737, 0.053244203272330759, 0.053241950697282117, 0.053239631873755189, 0.053237241539890304, 0.053234773921065362, 0.053232222688063435, 0.053229580914514123, 0.053226841034639975, 0.05322399480277297, 0.053221033256683668, 0.053217946687525441, 0.05321472462019506, 0.053211355809218361, 0.053207828256977167, 0.05320412926331438, 0.053200245518438834, 0.053187347305680303, 0.053172299633170168, 0.053154869450546607, 0.053135287990787372, 0.053115012654335866, 0.053098324023353384, 0.053095331508128424, 0.053126568669068529, 0.053226713577375212, 0.053437629706202118, 0.053774037226240128, 0.05416752557418008, 0.054459482895408071, 0.054504906220317242, 0.054289131655406164, 0.053915200745367702, 0.053503782236245696, 0.053129362749647205, 0.05281917474732311, 0.052576014786477214, 0.052398622814266299, 0.052297228783665883, 0.052314206793604899, 0.052575227574736129, 0.05345980045608794, 0.056328727488840602, 0.067954104876979116, 0.14124459906292994, 0.1805881080649776, 0.093408572038984797, 0.072779259201512875, 0.065477005552561099, 0.06201545615292757, 0.060069752160722488, 0.058851373306253556, 0.058030460204531724, 0.057447758967909393, 0.057017975598757688, 0.056691691971183095, 0.056438453153983749, 0.056238530091061494, 0.056078601561682727, 0.055949350907114434, 0.055844060296367626, 0.055757753389036033, 0.055686653584778971, 0.055627831186125541, 0.055578967600829317, 0.055538194278212466, 0.055503980652734285, 0.055475054982793023, 0.055450347718219231, 0.055428950556789341, 0.055410086569180769, 0.055393088201128947, 0.055377380903815429, 0.055362470779817693, 0.05534793507278591, 0.055333414642831875, 0.055318607799263869, 0.055303265034688451, 0.05528718433658588, 0.055270206854894907, 0.055252212783680095, 0.055233117376015994, 0.055212867056857018, 0.055191435631236352, 0.05516882060665558, 0.055145039660873453, 0.055120127291279408, 0.055094131681383232, 0.055067111815294632, 0.055039134863858849, 0.055010273857616435, 0.054980605652968584, 0.054950209189621721, 0.054919164030072805, 0.054887549165895277, 0.05485544207101891, 0.054822917979061067, 0.054790049359952568, 0.054756905570440814, 0.054723552653338524, 0.054690053261413303, 0.05465646668337272, 0.054622848951315632, 0.054589253011128172, 0.054555728939487944, 0.054522324193290395, 0.054489083879366747, 0.054456051034269197, 0.054423266905623692, 0.054390771228091495, 0.054358602488319203, 0.054326798174416095, 0.05429539500647846, 0.054264429145505194, 0.054233936378736289, 0.054203952280013137, 0.054174512344225677, 0.054145652095300353, 0.054117407167502227, 0.054089813360099402, 0.054062906665673205, 0.054036723272574042, 0.054011299542216618, 0.053986671962104216, 0.053962877075658819, 0.053939951390126362, 0.053917931264021654, 0.053896852775779922, 0.053876751575480802, 0.053857662721715667, 0.053839620505866742, 0.053822658266254791, 0.053806808194784485, 0.053792101138868939, 0.053778566401533646, 0.053766231542691001, 0.053755122184615298, 0.05374526182464881, 0.053736671658112599, 0.053729370414285146, 0.053723374208148524, 0.053718696410374273, 0.053715347537751625, 0.053713335165931804, 0.053712663865992952, 0.053713111416081483, 0.053714453248498287, 0.053716686912808523, 0.053719808335276502, 0.053723811834187431, 0.053728690140973, 0.053734434426823255, 0.0537410343343784, 0.053748478014015534, 0.053756752164169155, 0.053765842075053021, 0.05377573167508818, 0.053786403579285311, 0.05379783913877826, 0.053810018490665669, 0.053822920607278946, 0.053836523343972986, 0.053850803484510927, 0.053865736783106695, 0.053881298002183907, 0.053897460944912705, 0.0539141984816012, 0.053931482569035627, 0.053949284261897316, 0.053967573715422323, 0.053986320178521632, 0.054005491976645455, 0.054025056483753893, 0.054044980082852974, 0.054065228114672993, 0.054085764814207113, 0.054106553234998099, 0.054127555161265356, 0.054148731008202396, 0.054170039711064238, 0.054191438603998048, 0.054212883289961371, 0.054234327503528412, 0.054255722968904178, 0.054277019256058753, 0.05429816363855737, 0.054319100957397823, 0.054339773495965332, 0.05436012087206997, 0.05438007995392137, 0.05439958480779588, 0.05441856668602274, 0.054436954064716513, 0.054454672741345876, 0.05447164600268619, 0.054487794873869677, 0.054503038459023399, 0.054517294383276786, 0.054530479344616023, 0.054542509782072028, 0.054553302663969114, 0.054562776396383038, 0.054570851847553711, 0.054577453478818455, 0.054582510566801253, 0.054585958495312947, 0.054587740088979875, 0.054587806954399597, 0.054586120789064899, 0.054582654613895901, 0.054577393882472347, 0.054570337419428162, 0.054561498142327081, 0.054550903525906698, 0.054538595774892167, 0.054524631681444724, 0.054509082155290274, 0.05449203142802405, 0.054473575947169652, 0.054453822989352266, 0.054432889034464547, 0.054410897953075493, 0.054387979066837677, 0.054364265145805162, 0.054339890407182137, 0.054314988577176676, 0.054289691071700848, 0.054264125343225424, 0.054238413430901258, 0.054212670739903171, 0.054187005064626384, 0.054161515859578735, 0.054136293752142198, 0.054111420283232139, 0.054086967855512938, 0.05406299986430705, 0.054039570983608273, 0.054016727578510344, 0.053994508215656829, 0.053972944244723514, 0.053952060426178866, 0.053931875583356187, 0.053912403259960044, 0.053893652367325497, 0.053875627808870868, 0.053858331072125544, 0.053841760781380622, 0.053825913206358419, 0.053810782724305825, 0.053796362234583617, 0.053782643526169946, 0.053769617599545072, 0.053757274945209384, 0.053745605781645077, 0.053734600255897033, 0.053724248610157302, 0.053714541317817777, 0.053705469192438599, 0.053697023472987923, 0.053689195888560512, 0.053681978705599182, 0.053675364760431853, 0.053669347479714816, 0.05366392089114283, 0.053659079626556618, 0.05365481891935317, 0.053651134597885813, 0.053648023076329335, 0.053645481344286504, 0.053643506956218903, 0.053642098021601262, 0.053641253196526378, 0.053640971677315109], [0.051846093662341455, 0.051846680489828413, 0.051848440522113445, 0.051851372418380767, 0.051855473976285073, 0.05186074218038754, 0.051867173269801684, 0.051874762824904982, 0.051883505872953005, 0.051893397012436164, 0.051904430556048854, 0.051916600692190305, 0.051929901665006557, 0.051944327973107378, 0.051959874587259459, 0.051976537187573085, 0.051994312420975783, 0.052013198180105039, 0.052033193905164574, 0.052054300910796589, 0.052076522740625915, 0.052099865552869683, 0.052124338541284142, 0.052149954396792507, 0.052176729816425502, 0.052204686067777638, 0.052233849619102851, 0.052264252847528253, 0.052295934840780704, 0.052328942311445761, 0.052363330647313487, 0.052399165127093313, 0.052436522338036751, 0.052475491841299349, 0.052516178142836385, 0.05255870304316386, 0.052603208459642573, 0.052649859841773311, 0.052698850335708702, 0.052750405902174856, 0.052804791657121555, 0.052862319793714752, 0.052923359568102721, 0.052988350005154297, 0.053057816227391953, 0.053132390666457023, 0.053212840937661536, 0.053300106933717686, 0.053395350868670755, 0.053500025818570433, 0.053615971172458671, 0.053745548045162628, 0.05389183540958413, 0.054058920899963281, 0.054252343602053256, 0.054479789137345365, 0.05475222000148923, 0.055085791299562592, 0.055505260911667159, 0.056050430040680742, 0.056789225855159171, 0.05784683227711402, 0.059478796844558923, 0.06228692510367588, 0.068026077728239986, 0.083972446238247914, 0.16369397337140987, 0.13662287968696046, 0.059667463794659613, 0.051673477702663298, 0.050240461756440542, 0.050010923695567276, 0.050078619259347021, 0.05022192252871726, 0.050375703925002256, 0.050519620798433217, 0.050647942415255241, 0.050760019361485054, 0.050856954131359017, 0.050940368331351196, 0.051011938878691501, 0.051073231096409336, 0.051125648917758448, 0.051170430519667194, 0.051208660155428271, 0.051241284351057605, 0.05126912793083846, 0.051292908402261736, 0.051313248468117245, 0.051330686876180913, 0.051345687921216285, 0.051358649885489369, 0.051369912635054089, 0.051379764519424297, 0.051388448666731999, 0.051396168728295971, 0.051403094103802199, 0.051409364667357099, 0.051415095011658765, 0.051420378229148446, 0.051425289252748939, 0.051429887782979425, 0.051434220831824001, 0.051438324916220725, 0.051442227935270049, 0.05144595076530311, 0.051449508605993483, 0.051452912108967144, 0.051456168318112151, 0.051459281448216716, 0.051462253525854387, 0.051465084913721967, 0.051467774737020293, 0.051470321228015342, 0.051472722002668912, 0.051474974281201707, 0.051477075062653921, 0.051479021261928951, 0.051480809816436351, 0.051482437768268656, 0.051483902326836646, 0.051485200916028033, 0.051486331209226938, 0.051487291154914634, 0.051488078995053435, 0.051488693278015071, 0.05148913286744139, 0.051489396948104657, 0.05148948502955613, 0.051489469890364466, 0.051489424449109734, 0.051489348634655298, 0.05148924232811334, 0.051489105362353522, 0.051488937521309633, 0.051488738539081202, 0.05148850809882323, 0.051488245831417097, 0.051487951313914183, 0.051487624067741412, 0.051487263556656684, 0.05148686918444105, 0.05148644029231042, 0.051485976156030802, 0.051485475982714961, 0.051484938907279121, 0.051484363988533316, 0.05148375020487729, 0.051483096449569679, 0.051482401525534578, 0.051481664139666157, 0.051480882896585874, 0.051480056291802773, 0.051479182704221582, 0.051478260387935577, 0.051477287463235176, 0.051476261906753806, 0.051475181540664369, 0.051474044020827392, 0.051472846823781948, 0.051471587232454478, 0.051470262320447616, 0.051468868934750903, 0.051467403676697061, 0.051465862880963255, 0.051464242592390817, 0.051462538540366143, 0.051460746110470246, 0.051458860313065291, 0.051456875748438047, 0.051454786568067429, 0.051452586431519988, 0.051450268458404717, 0.051447825174732724, 0.051445248452928936, 0.051442529444625323, 0.051439658505229406, 0.051436625109099819, 0.051433417753970812, 0.051430023853042878, 0.051426429612888194, 0.051422619895002977, 0.051418578058457683, 0.051414285780643748, 0.051409722852568555, 0.051404866944496877, 0.051399693336944309, 0.051394174611075115, 0.051388280291396596, 0.051381976432238241, 0.051375225137795216, 0.051367984003436055, 0.051360205463447543, 0.05135183602731698, 0.05134281538293161, 0.051333075340599013, 0.051322538586456572, 0.051311117207596915, 0.051298710944139708, 0.051285205115847179, 0.05127046816351611, 0.051254348740118097, 0.051236672287311519, 0.051217237047214238, 0.051195809502583539, 0.051172119341460938, 0.05114585426659201, 0.051116655441501874, 0.051084115346796903, 0.051047781875447382, 0.051007176873148471, 0.050961846910076013, 0.050911485824808408, 0.050856220370314745, 0.050797281110938022, 0.050738636581512633, 0.050691231494784862, 0.050685047673902812, 0.050808316584948783, 0.05136243066064522, 0.053688626207466374, 0.067338508109632433, 0.14467148713789629, 0.083810160066025458, 0.064717209501763864, 0.059213601320965689, 0.056857391660294562, 0.055602581928761538, 0.054840196935167444, 0.054334979326856464, 0.053979167951031075, 0.053717143368855962, 0.05351755078234522, 0.053361473745500959, 0.053236869407205067, 0.053135728520091095, 0.053052528049437601, 0.05298334143053017, 0.052925303385903857, 0.052876275458836088, 0.052834630011348867, 0.052799106709806018, 0.052768714787052147, 0.052742665029621147, 0.052720321551956772, 0.052701167038858888, 0.052684777341562988, 0.052670802689808047, 0.052658953662441048, 0.052648990633746742, 0.052640715795310808, 0.052633967112842232, 0.05262861375691591, 0.052624552673255845, 0.052621706049588872, 0.052620019503869832, 0.052619460870643238, 0.052620019503869811, 0.052621706049588865, 0.052624552673255852, 0.052628613756915896, 0.052633967112842225, 0.052640715795310759, 0.052648990633746777, 0.052658953662441069, 0.052670802689808095, 0.052684777341563044, 0.052701167038858909, 0.052720321551956752, 0.052742665029621112, 0.052768714787052175, 0.052799106709806011, 0.052834630011348867, 0.052876275458836032, 0.052925303385903746, 0.052983341430530261, 0.053052528049437678, 0.053135728520091026, 0.053236869407205095, 0.053361473745501022, 0.053517550782345227, 0.053717143368856024, 0.053979167951031221, 0.054334979326856443, 0.054840196935167236, 0.055602581928761219, 0.056857391660294444, 0.059213601320968257, 0.064717209501765599, 0.083810160066034478, 0.14467148713788777, 0.067338508109610576, 0.053688626207468192, 0.051362430660645789, 0.050808316584948596, 0.050685047673902792, 0.050691231494784876, 0.050738636581512647, 0.050797281110937988, 0.0508562203703148, 0.050911485824808415, 0.050961846910075999, 0.051007176873148458, 0.051047781875447396, 0.051084115346796924, 0.051116655441501839, 0.051145854266592003, 0.051172119341460966, 0.05119580950258347, 0.05121723704721419, 0.051236672287311505, 0.051254348740118062, 0.051270468163516096, 0.051285205115847186, 0.051298710944139701, 0.051311117207596887, 0.051322538586456544, 0.051333075340598965, 0.051342815382931617, 0.051351836027316966, 0.051360205463447571, 0.051367984003436062, 0.051375225137795244, 0.051381976432238241, 0.051388280291396582, 0.051394174611075101, 0.051399693336944344, 0.051404866944496877, 0.051409722852568555, 0.051414285780643734, 0.051418578058457703, 0.051422619895003012, 0.051426429612888201, 0.051430023853042871, 0.051433417753970832, 0.051436625109099805, 0.051439658505229427, 0.051442529444625351, 0.051445248452928923, 0.05144782517473271, 0.051450268458404697, 0.051452586431520009, 0.051454786568067429, 0.051456875748438047, 0.051458860313065263, 0.051460746110470218, 0.051462538540366143, 0.051464242592390824, 0.051465862880963248, 0.051467403676697027, 0.051468868934750903, 0.051470262320447623, 0.051471587232454478, 0.0514728468237819, 0.051474044020827399, 0.051475181540664328, 0.051476261906753806, 0.05147728746323519, 0.051478260387935584, 0.051479182704221547, 0.051480056291802766, 0.05148088289658586, 0.051481664139666164, 0.051482401525534592, 0.051483096449569658, 0.051483750204877297, 0.051484363988533337, 0.051484938907279128, 0.05148547598271494, 0.051485976156030788, 0.051486440292310448, 0.05148686918444103, 0.051487263556656698, 0.051487624067741405, 0.051487951313914176, 0.051488245831417104, 0.051488508098823216, 0.051488738539081202, 0.051488937521309633, 0.051489105362353495, 0.051489242328113347, 0.051489348634655305, 0.051489424449109776, 0.051489469890364459, 0.051489485029556095, 0.051489477460973078, 0.051489454755544527, 0.051489416914232117, 0.051489363938638878, 0.051489295831009876, 0.051489212594232989, 0.051489114231839821, 0.051489000748006761, 0.05148887214755659, 0.051488728435959766, 0.05148856961933633, 0.051488395704457554, 0.051488206698748124, 0.051488002610288061, 0.051487783447814975, 0.051487549220726257, 0.05148729993908141, 0.051487035613604237, 0.051486756255685252, 0.051486461877383441, 0.051486152491428828, 0.051485828111223937, 0.051485488750845632, 0.05148513442504641, 0.051484765149255582, 0.051484380939579716, 0.051483981812802913, 0.051483567786386346, 0.051483138878467206, 0.051482695107856719, 0.051482236494037582, 0.051481763057160235, 0.051481274818037957, 0.051480771798140694, 0.05148025401958771, 0.051479721505138264, 0.051479174278180877, 0.051478612362720118, 0.051478035783361659, 0.051477444565294614, 0.051476838734270981, 0.051476218316582383, 0.051475583339033106, 0.051474933828909678, 0.051474269813945907, 0.051473591322283845, 0.051472898382429355, 0.051472191023202281, 0.051471469273680473, 0.051470733163136856, 0.051469982720969483, 0.051469217976622988, 0.05146843895950122, 0.051467645698869934, 0.051466838223748639, 0.051466016562790137, 0.051465180744147479, 0.051464330795325579, 0.051463466743017612, 0.051462588612923382, 0.05146169642954869, 0.051460790215983203, 0.051459869993655087, 0.051458935782060254, 0.051457987598462755, 0.051457025457564691, 0.051456049371141677, 0.051455059347640837, 0.051454055391737259, 0.05145303750384516, 0.051452005679578791, 0.051450959909158163, 0.051449900176754125, 0.05144882645976654, 0.05144773872802863, 0.051446636942930217, 0.051445521056451671, 0.051444391010098831, 0.051443246733729568, 0.051442088144260253, 0.051440915144240269, 0.051439727620280505, 0.051438525441320743, 0.051437308456720329, 0.051436076494152057, 0.051434829357280387, 0.051433566823200987, 0.051432288639616887, 0.051430994521723596, 0.051429684148773892, 0.051428357160287694, 0.051427013151871363, 0.051425651670605525, 0.051424272209956448, 0.051422874204163381, 0.051421457022045536, 0.051420019960172828, 0.051418562235333282, 0.051417082976227428, 0.051415581214313569, 0.051414055873719063, 0.051412505760128797, 0.051410929548552642, 0.051409325769868897, 0.051407692796032224, 0.051406028823830469, 0.051404331857069205, 0.051402599687059125, 0.0514008298712815, 0.05139901971011003, 0.051397166221474014, 0.051395266113362349, 0.051393315754092297, 0.051391311140299781, 0.051389247862661566, 0.051387121069427985, 0.051384925427946378, 0.051382655084486833, 0.051380303622861286, 0.051377864022564695, 0.051375328617478053, 0.051372689056582002, 0.051369936268659724, 0.051367060433651954, 0.051364050964208992, 0.051360896502110759, 0.05135758493566113, 0.051354103445980334, 0.051342502816459329, 0.051328873843549117, 0.051312892718764755, 0.051294489773181531, 0.051274283773664685, 0.051254411832148947, 0.051239886715059003, 0.051240218328598715, 0.051269749046893576, 0.051342916382012389, 0.05146059656340659, 0.051593220184675367, 0.051682492982007923, 0.05167512300052983, 0.051559697717962504, 0.051367361306527339, 0.051143078582950842, 0.050921305449957481, 0.050720052163706161, 0.050546257831645902, 0.050403857120779598, 0.050302292779074595, 0.050269280745428524, 0.050380900123376184, 0.050854428799144313, 0.052406712079494801, 0.058135294123622346, 0.089451730541820859, 0.23516212395534586, 0.11124836500269032, 0.075666107104352467, 0.065355854723325529, 0.060960605926168206, 0.058637517360017863, 0.057238812388094779, 0.056321328595947941, 0.055682493602893672, 0.055218020144362098, 0.054869265257008221, 0.054600923922223273, 0.054390550595408704, 0.054223221897697495, 0.054088634630992269, 0.053979440846436848, 0.05389024878817187, 0.053817000241967457, 0.053756569773658405, 0.053706499619691657, 0.053664820193132678, 0.053629926159343748, 0.053600489475115282, 0.053575397540492307, 0.053553708715833953, 0.05353462001393651, 0.05351744340995445, 0.053501588279674106, 0.053486548192338237, 0.053471890776478528, 0.053457249725262321, 0.053442318260926255, 0.053426843566707669, 0.053410621838572286, 0.053393493720041471, 0.053375339969186253, 0.053356077272351844, 0.053335654167842694, 0.05331404707728471, 0.053291256464931415, 0.053267303157885949, 0.053242224865061277, 0.053216072931605136, 0.053188909360242675, 0.053160804123113532, 0.053131832778544406, 0.05310207439787025, 0.053071609798694443, 0.053040520073391377, 0.053008885395516785, 0.052976784082207171, 0.052944291887596223, 0.052911481500618834, 0.052878422220117419, 0.052845179780685418, 0.052811816303951417, 0.052778390351803713, 0.052744957060192034, 0.052711568334450079, 0.052678273089438614, 0.052645117520105603, 0.052612145390231957, 0.052579398329131874, 0.052546916127871539, 0.052514737028161743, 0.052482897998454077, 0.052451434992949658, 0.052420383190222054, 0.052389777208981338, 0.052359651299191352, 0.052330039507308655, 0.052300975814868152, 0.052272494250013804, 0.052244628971878315, 0.052217414327974346, 0.052190884884980346, 0.052165075433505001, 0.052140020967593986, 0.052115756639925188, 0.052092317693812701, 0.052069739373321426, 0.052048056812977639, 0.052027304908755012, 0.052007518172204815, 0.051988730569797227, 0.051970975349731378, 0.051954284858654817, 0.051938690350900561, 0.051924221792999353, 0.051910907666339615, 0.05189877477093835, 0.051887848033322428, 0.051878150321521516, 0.051869702270116329, 0.051862522118177962, 0.051856625562771194, 0.051852025630470325, 0.05184873256906921, 0.051846753761341458, 0.051846093662341455, 0.051846533744591861, 0.051847853192771166, 0.051850049614233201, 0.051853119031417011, 0.051857055896959992, 0.051861853114534409, 0.051867502065091192, 0.051873992638108574, 0.051881313267363602, 0.051889450970669437, 0.05189839139295073, 0.051908118851966396, 0.051918616385932662, 0.051929865802248655, 0.051941847726485649, 0.0519545416507632, 0.051967925980612471, 0.051981978079401421, 0.05199667430938848, 0.052011990068464485, 0.05202789982164488, 0.052044377126387924, 0.052061394650829193, 0.052078924184056269, 0.052096936637581776, 0.052115402037222938, 0.052134289504658655, 0.052153567228011281, 0.052173202420893197, 0.052193161269474299, 0.052213408867263111, 0.052233909137462037, 0.052254624742958874, 0.05227551698425148, 0.052296545685891344, 0.052317669072363945, 0.052338843634715831, 0.052360023989696074, 0.052381162733703406, 0.052402210294428736, 0.052423114783755567, 0.052443821856229013, 0.052464274578218555, 0.052484413313775027, 0.052504175634095644, 0.052523496258439828, 0.052542307035242791, 0.052560536973007957, 0.052578112331261188, 0.052594956782343043, 0.052610991655016745, 0.052626136270676138, 0.052640308382248854, 0.052653424724593924, 0.052665401683190893, 0.052676156085126415, 0.052685606112746759, 0.052693672335855285, 0.052700278853037921, 0.05270535452672765, 0.052708834290172174, 0.052710660497855263, 0.052710784284523096, 0.052709166892247354, 0.052705780920422836, 0.052700611450770048, 0.052693656998770259, 0.052684930244882605, 0.052674458503615455, 0.052662283896070555, 0.052648463201750081, 0.052633067377749788, 0.052616180747287154, 0.052597899873955384, 0.052578332152185332, 0.052557594157145289, 0.05253580980780468, 0.052513108404398906, 0.052489622605578871, 0.052465486410919963, 0.05244083321132257, 0.052415793963554516, 0.052390495536387638, 0.05236505926523654, 0.05233959974074745, 0.052314223845220643, 0.05228903003980323, 0.052264107895638651, 0.052239537854009914, 0.052215391194203764, 0.052191730183411861, 0.052168608380401493, 0.052146071063750174, 0.052124155755895948, 0.05210289281581626, 0.052082306075519558, 0.052062413498437432, 0.052043227840984682, 0.052024757301815272, 0.052007006146468138, 0.051989975298057413, 0.051973662887334154, 0.051958064757786693, 0.05194317492343592, 0.051928985978626135, 0.051915489460428746, 0.05190267616529548, 0.051890536422352647, 0.051879060326258976, 0.051868237932887994, 0.051858059421282597, 0.051848515225388851, 0.051839596139043514, 0.051831293397582398, 0.051823598739279136, 0.05181650444963086, 0.051810003391289806, 0.05180408902221411, 0.051798755404376763, 0.051793997205141794, 0.051789809693189297, 0.051786188730655096, 0.051783130762937751, 0.051780632807430733, 0.051778692442244097, 0.051777307795800448, 0.051776477538018804, 0.05177620087363103], [0.050768075037384341, 0.050768660281270861, 0.050770415575327806, 0.050773339616574868, 0.050777430266113914, 0.050782684598152564, 0.050789098968482833, 0.050796669102282484, 0.050805390201090733, 0.050815257068818405, 0.05082626425668705, 0.050838406227048737, 0.050851677536134267, 0.050866073035913034, 0.050881588095424292, 0.050898218842170141, 0.050915962424451733, 0.050934817295888529, 0.050954783523795476, 0.050975863123629582, 0.050998060422355239, 0.051021382454357396, 0.05104583939446232, 0.05107144503376216, 0.051098217305308016, 0.0511261788684087, 0.051155357762320136, 0.05118578814262624, 0.05121751111673422, 0.051250575698795792, 0.051285039909241784, 0.051320972050287794, 0.051358452196607347, 0.051397573950426483, 0.051438446523276511, 0.051481197223545258, 0.051525974451140134, 0.05157295132993002, 0.051622330147824198, 0.051674347827175393, 0.05172928272013072, 0.051787463122554854, 0.051849278037966136, 0.0519151909171622, 0.051985757376603839, 0.052061648300513852, 0.05214368032304046, 0.052232856571988132, 0.052330421905279333, 0.052437938971608047, 0.052557394769488827, 0.052691352833282967, 0.052843175325345833, 0.053017355150376103, 0.053220026597886515, 0.053459775989210201, 0.053748977289811761, 0.05410609091052436, 0.054559831940307814, 0.055157221361071346, 0.055980405230286794, 0.057185477468680329, 0.059104703447445006, 0.062569542454067387, 0.070248989705308199, 0.095260627151596111, 0.23399909374855246, 0.089459067773428574, 0.054554217597932893, 0.049990635530467023, 0.049105701528032557, 0.048995118722338478, 0.049086959883512395, 0.049229360410776468, 0.049375591436811375, 0.049510794632323704, 0.049630914316791841, 0.049735744081538899, 0.04982641846548673, 0.049904461952855694, 0.049971425095647004, 0.050028752235861541, 0.050077742110503295, 0.050119544936590044, 0.050155172616032792, 0.050185512493687474, 0.050211340980908861, 0.050233335853074421, 0.05025208704310228, 0.050268106113028004, 0.050281834665150751, 0.050293651923810676, 0.05030388165620988, 0.050312798539477649, 0.050320634033829255, 0.050327581790553681, 0.050333802606625774, 0.050339428931383844, 0.050344568931258347, 0.050349310122877217, 0.050353722590676928, 0.050357861810873254, 0.050361771108385883, 0.050365483776654063, 0.050369024892151226, 0.050372412855922144, 0.050375660693867924, 0.050378777146047708, 0.05038176757322204, 0.050384634706455232, 0.050387379263014287, 0.050390000449195289, 0.050392496368178573, 0.050394864348635028, 0.050397101207616493, 0.050399203459289915, 0.050401167479319754, 0.050402989633162053, 0.050404666375195917, 0.050406194324464942, 0.05040757032181481, 0.050408791472374898, 0.050409855176622213, 0.050410759152664839, 0.05041150145187745, 0.050412080469593508, 0.050412494952195318, 0.050412744001633453, 0.050412827078136421, 0.050412812702169262, 0.050412769551859249, 0.050412697559887976, 0.050412596613748306, 0.050412466555277979, 0.05041230718000192, 0.050412118236280071, 0.050411899424254114, 0.050411650394586928, 0.050411370746986532, 0.050411060028504345, 0.050410717731596694, 0.050410343291936867, 0.050409936085961699, 0.050409495428137725, 0.050409020567925761, 0.050408510686424206, 0.050407964892666059, 0.050407382219543301, 0.050406761619328354, 0.050406101958758838, 0.050405402013648994, 0.050404660462984772, 0.050403875882456782, 0.05040304673737861, 0.050402171374932296, 0.050401248015675762, 0.050400274744239491, 0.050399249499131077, 0.050398170061555711, 0.050397034043150858, 0.050395838872519215, 0.050394581780431102, 0.050393259783550033, 0.050391869666517056, 0.050390407962208582, 0.050388870929957051, 0.050387254531496853, 0.050385554404365041, 0.050383765832450446, 0.050381883713340805, 0.050379902522069357, 0.050377816270804843, 0.050375618463962275, 0.050373302048135019, 0.050370859356158398, 0.05036828204450975, 0.050365561023126532, 0.050362686376578376, 0.050359647275358944, 0.050356431875860842, 0.05035302720735798, 0.050349419044035885, 0.050345591759772899, 0.050341528162971903, 0.050337209308260016, 0.050332614281295762, 0.050327719952227068, 0.050322500692506975, 0.050316928048761658, 0.050310970366183497, 0.050304592352440523, 0.050297754571300569, 0.050290412852997207, 0.050282517605738403, 0.050274013009598016, 0.050264836070246496, 0.050254915505499591, 0.050244170432463438, 0.050232508817193794, 0.050219825642553007, 0.050206000744031989, 0.050190896259234757, 0.050174353637615819, 0.050156190169099946, 0.050136195025567577, 0.050114124891729603, 0.0500896994389236, 0.050062597261781298, 0.05003245364806029, 0.049998863095074765, 0.049961392708770307, 0.049919619519764244, 0.049873220023030004, 0.049822175552186217, 0.049767243238965253, 0.049711067070409225, 0.049660941301290715, 0.049636250872075308, 0.049690903037766312, 0.049992862098297904, 0.051183482819975132, 0.056768605964982989, 0.099508822180103484, 0.11265895642141446, 0.069836595118084807, 0.060243333071645866, 0.05676519209757952, 0.055077995539549625, 0.054110929397374885, 0.053494831552027271, 0.053072996582673053, 0.052768822079519113, 0.052540849096383214, 0.052364845943404265, 0.052225772504130005, 0.052113831942832291, 0.052022384748696159, 0.05194677957288249, 0.05188366494523184, 0.051830566955764601, 0.051785620805776963, 0.051747394890310841, 0.051714772431170009, 0.051686869979220569, 0.05166298016507688, 0.051642530776505491, 0.051625055063830465, 0.051610169916516943, 0.051597559655267244, 0.051586963895616129, 0.05157816840846989, 0.051570998218827199, 0.051565312400508038, 0.051561000176295155, 0.05155797804140342, 0.051556187707979734, 0.051555594728991926, 0.051556187707979692, 0.051557978041403399, 0.051561000176295162, 0.051565312400508038, 0.051570998218827178, 0.051578168408469828, 0.051586963895616136, 0.051597559655267258, 0.051610169916516971, 0.051625055063830527, 0.051642530776505491, 0.051662980165076845, 0.051686869979220527, 0.051714772431170002, 0.051747394890310841, 0.051785620805776963, 0.051830566955764538, 0.051883664945231715, 0.051946779572882587, 0.052022384748696256, 0.052113831942832242, 0.052225772504130026, 0.052364845943404348, 0.052540849096383235, 0.052768822079519176, 0.053072996582673213, 0.053494831552027243, 0.054110929397374649, 0.055077995539549271, 0.056765192097579319, 0.060243333071649849, 0.069836595118087541, 0.11265895642143674, 0.099508822180034456, 0.056768605964974628, 0.051183482819976055, 0.049992862098298202, 0.049690903037766243, 0.049636250872075287, 0.049660941301290715, 0.049711067070409225, 0.049767243238965204, 0.049822175552186258, 0.049873220023030025, 0.049919619519764244, 0.049961392708770307, 0.049998863095074758, 0.050032453648060304, 0.05006259726178125, 0.050089699438923586, 0.050114124891729617, 0.050136195025567515, 0.05015619016909989, 0.050174353637615812, 0.050190896259234744, 0.050206000744031962, 0.05021982564255302, 0.050232508817193766, 0.05024417043246341, 0.050254915505499556, 0.050264836070246448, 0.050274013009598009, 0.050282517605738375, 0.050290412852997221, 0.050297754571300583, 0.050304592352440537, 0.050310970366183504, 0.050316928048761651, 0.050322500692506947, 0.050327719952227082, 0.050332614281295769, 0.050337209308260009, 0.050341528162971896, 0.05034559175977292, 0.050349419044035934, 0.050353027207357973, 0.050356431875860835, 0.050359647275358937, 0.050362686376578363, 0.050365561023126539, 0.050368282044509778, 0.050370859356158357, 0.050373302048134998, 0.050375618463962282, 0.050377816270804857, 0.050379902522069357, 0.050381883713340798, 0.050383765832450439, 0.050385554404365027, 0.05038725453149686, 0.050388870929957058, 0.050390407962208589, 0.050391869666517035, 0.050393259783550033, 0.05039458178043113, 0.050395838872519236, 0.05039703404315083, 0.050398170061555697, 0.050399249499131049, 0.050400274744239498, 0.050401248015675783, 0.050402171374932289, 0.050403046737378589, 0.050403875882456761, 0.050404660462984731, 0.050405402013648973, 0.050406101958758859, 0.050406761619328347, 0.050407382219543315, 0.050407964892666073, 0.050408510686424206, 0.050409020567925761, 0.050409495428137739, 0.050409936085961733, 0.050410343291936846, 0.050410717731596714, 0.050411060028504345, 0.050411370746986532, 0.050411650394586935, 0.050411899424254107, 0.050412118236280071, 0.05041230718000192, 0.050412466555277952, 0.050412596613748327, 0.050412697559887996, 0.050412769551859277, 0.050412812702169282, 0.05041282707813638, 0.05041281989112157, 0.050412798330503925, 0.050412762397564245, 0.050412712094437657, 0.050412647424114866, 0.050412568390443502, 0.050412474998129737, 0.050412367252740571, 0.05041224516070638, 0.050412108729323724, 0.050411957966758722, 0.050411792882050437, 0.050411613485115012, 0.050411419786749748, 0.050411211798637584, 0.050410989533351817, 0.050410753004361313, 0.050410502226035367, 0.050410237213649407, 0.050409957983390166, 0.050409664552361629, 0.050409356938590451, 0.050409035161031714, 0.050408699239574577, 0.05040834919504783, 0.050407985049225279, 0.05040760682483069, 0.050407214545542985, 0.050406808236000321, 0.050406387921804248, 0.050405953629522979, 0.050405505386694117, 0.050405043221826394, 0.050404567164400539, 0.050404077244869165, 0.050403573494655081, 0.050403055946148433, 0.050402524632702041, 0.050401979588624822, 0.050401420849173442, 0.050400848450540985, 0.050400262429843724, 0.050399662825104247, 0.05039904967523174, 0.050398423019998334, 0.050397782900011442, 0.050397129356681475, 0.050396462432184708, 0.0503957821694202, 0.050395088611960619, 0.05039438180399651, 0.05039366179027243, 0.050392928616015062, 0.050392182326851935, 0.050391422968719832, 0.050390650587761876, 0.050389865230212466, 0.050389066942267823, 0.050388255769941943, 0.050387431758905546, 0.050386594954306682, 0.050385745400570878, 0.050384883141179143, 0.050384008218420984, 0.050383120673120646, 0.050382220544333049, 0.050381307869006908, 0.050380382681611678, 0.05037944501372401, 0.050378494893570699, 0.050377532345522592, 0.050376557389535032, 0.050375570040529415, 0.050374570307709685, 0.050373558193806976, 0.050372533694245318, 0.0503714967962203, 0.050370447477681483, 0.050369385706208795, 0.05036831143777231, 0.050367224615362867, 0.050366125167480652, 0.050365013006466522, 0.050363888026660718, 0.050362750102370013, 0.050361599085624383, 0.050360434803700733, 0.050359257056390168, 0.050358065612981472, 0.050356860208932354, 0.050355640542195365, 0.050354406269163134, 0.050353157000194187, 0.050351892294675057, 0.050350611655572947, 0.050349314523424837, 0.050348000269708461, 0.050346668189530812, 0.050345317493566938, 0.050343947299175344, 0.050342556620608547, 0.050341144358232899, 0.050339709286662933, 0.050338250041710601, 0.050336765106041834, 0.05033525279342755, 0.050333711231471054, 0.050332138342689306, 0.050330531823823722, 0.050328889123256892, 0.050327207416416803, 0.05032548357905791, 0.050323714158327516, 0.050321895341549593, 0.050320022922698125, 0.050318092266583056, 0.050316098270848771, 0.050314035325982803, 0.050311897273666556, 0.050309677363975347, 0.050307368212163528, 0.050304961756066663, 0.050302449215532043, 0.050299821055772589, 0.05029706695715068, 0.050294175794668473, 0.050291135631398753, 0.050287933731280647, 0.050277219337230797, 0.050264530528106886, 0.050249473665398593, 0.050231779301097255, 0.050211559945190144, 0.05018976874412806, 0.050168866008219265, 0.050153440836471594, 0.050149934828634418, 0.050163934548255643, 0.050194202601086244, 0.050226673395279517, 0.050236295817431754, 0.050200133230678415, 0.050111443871403469, 0.049981378658823544, 0.049829163491258564, 0.049671820494596522, 0.04952003413919108, 0.049379288447122312, 0.049253388811806145, 0.049149293311709141, 0.04908513777006758, 0.049108774891127839, 0.049351769496986921, 0.050221516686591854, 0.053291058966998948, 0.067557183696990999, 0.17798391491071319, 0.14950719726943551, 0.082178836033996186, 0.066761446453926843, 0.060992500174788383, 0.058154023168108374, 0.056518500408048025, 0.055476592034586915, 0.054765911295021813, 0.054256964238284397, 0.053879184677318573, 0.053591106969924876, 0.053366872374171329, 0.053189556278309451, 0.053047625587375434, 0.05293294571245883, 0.052839604076873103, 0.05276318696577352, 0.052700319551661344, 0.052648364692835271, 0.052605220787322306, 0.052569183269995129, 0.052538848065846473, 0.052513043323386209, 0.052490780567630832, 0.052471219385332953, 0.052453641637426794, 0.052437432414934093, 0.052422065767047346, 0.05240709378509309, 0.052392138015910313, 0.052376882459882187, 0.052361067617868511, 0.052344485209702189, 0.052326973308520694, 0.052308411728704374, 0.052288717576237348, 0.052267840922791416, 0.052245760601757972, 0.052222480148342527, 0.052198023919043754, 0.05217243343057542, 0.052145763956679143, 0.052118081415256722, 0.052089459569550987, 0.052059977557171476, 0.052029717750742624, 0.051998763944688151, 0.051967199854705236, 0.051935107910134178, 0.051902568314786339, 0.051869658348800418, 0.051836451882597188, 0.051803019073767283, 0.05176942621850638, 0.051735735730756321, 0.0517020062242812, 0.051668292675303838, 0.051634646645871279, 0.051601116550682211, 0.051567747952584217, 0.051534583874267875, 0.051501665115804743, 0.051469030569564353, 0.051436717525706763, 0.051404761962873087, 0.051373198819909899, 0.051342062245477299, 0.05131138582322782, 0.051281202770929936, 0.051251546112465178, 0.051222448822076133, 0.051193943940605932, 0.051166064663764117, 0.051138844402699495, 0.051112316817367692, 0.051086515823369885, 0.051061475573106523, 0.051037230412260583, 0.051013814812789778, 0.050991263283778017, 0.050969610261673515, 0.050948889981626562, 0.050929136331824658, 0.050910382692915403, 0.050892661764794761, 0.050876005383218181, 0.050860444328858126, 0.050846008131578094, 0.050832724872808932, 0.050820620989001822, 0.050809721079168764, 0.050800047719523532, 0.050791621288177484, 0.050784459802736735, 0.050778578773484025, 0.050773991074603959, 0.050770706835641687, 0.050768733355058882, 0.050768075037384341, 0.050768513931784345, 0.050769829824030048, 0.050772020344329809, 0.050775081553218991, 0.050779007956680576, 0.050783792526990008, 0.050789426728966455, 0.050795900551225272, 0.050803202541947319, 0.050811319848603646, 0.050820238261004298, 0.050829942256975229, 0.050840415049911748, 0.050851638637403551, 0.050863593850086972, 0.050876260399839439, 0.050889616926408435, 0.050903641041540743, 0.050918309369667861, 0.050933597584196681, 0.050949480438454729, 0.05096593179035129, 0.05098292461983045, 0.051000431038221827, 0.05101842228862908, 0.051036868736543478, 0.05105573984993144, 0.051075004168118464, 0.051094629258883806, 0.051114581663294252, 0.051134826827940433, 0.051155329024407038, 0.051176051256008381, 0.051196955152057654, 0.051218000850228595, 0.051239146867903387, 0.051260349963799808, 0.0512815649916347, 0.051302744748116427, 0.051323839818171069, 0.051344798420998372, 0.051365566261323554, 0.051386086391053208, 0.051406299087449751, 0.051426141754890402, 0.051445548858244816, 0.051464451896856347, 0.051482779428992272, 0.051500457157377194, 0.051517408086963389, 0.051533552766330738, 0.051548809623944918, 0.051563095409825371, 0.051576325751869885, 0.051588415834044374, 0.051599281200785115, 0.051608838688216634, 0.051617007478150054, 0.051623710265342508, 0.051628874522299528, 0.051632433839200041, 0.051634329309638127, 0.051634510926206717, 0.051632938943982014, 0.051629585165237926, 0.051624434095768702, 0.051617483922533333, 0.051608747264349733, 0.051598251652307976, 0.051586039704461059, 0.051572168969973124, 0.05155671143076742, 0.05153975266311165, 0.051521390676582762, 0.051501734462450308, 0.051480902296668962, 0.051459019853433041, 0.051436218192861462, 0.051412631690365626, 0.051388395975425931, 0.051363645944012937, 0.051338513902165629, 0.051313127888953564, 0.051287610216010276, 0.051262076248905115, 0.051236633443664345, 0.051211380640499578, 0.051186407606843204, 0.051161794813532328, 0.051137613421651837, 0.051113925453191086, 0.051090784116195727, 0.051068234254309168, 0.051046312891224618, 0.05102504984230579, 0.051004468368174155, 0.050984585848115924, 0.050965414454473737, 0.050946961812554821, 0.050929231633836336, 0.050912224313269673, 0.050895937484196456, 0.050880366526751104, 0.050865505027622986, 0.050851345190690782, 0.050837878199349464, 0.050825094532352177, 0.050812984235726229, 0.050801537153831816, 0.050790743122950892, 0.050780592130959451, 0.050771074446678083, 0.050762180722446135, 0.050753902073342898, 0.050746230136308579, 0.050739157112214731, 0.050732675793707008, 0.050726779581409531, 0.050721462490841716, 0.050716719152162151, 0.050712544804624622, 0.050708935287412452, 0.050705887028302948, 0.050703397031417193, 0.050701462865117362, 0.050700082650932864, 0.050699255054226483, 0.050698979277143126], [0.050166724518038171, 0.050167313262978665, 0.050169079068700863, 0.050172020657935565, 0.050176135935307328, 0.050181422037369194, 0.050187875402506174, 0.050195491860585757, 0.050204266742221164, 0.050214195007526288, 0.050225271394281977, 0.050237490585496973, 0.050250847396451914, 0.050265336981460677, 0.050280955060772556, 0.050297698168284888, 0.050315563921045692, 0.050334551311906915, 0.050354661027151915, 0.050375895791490509, 0.050398260743494822, 0.050421763845378775, 0.050446416332017456, 0.050472233205315263, 0.050499233781497621, 0.050527442300691422, 0.050556888610359313, 0.050587608936859624, 0.050619646762768096, 0.050653053831798939, 0.050687891308440078, 0.050724231126111553, 0.050762157566178412, 0.05080176912111059, 0.050843180709266377, 0.050886526327288829, 0.050931962250457506, 0.050979670923665177, 0.051029865728984561, 0.05108279687433559, 0.051138758727763058, 0.051198099032332009, 0.051261230591083874, 0.051328646230081737, 0.051400938161186953, 0.051478823322850815, 0.051563176952841662, 0.051655077664094856, 0.051755868856110991, 0.051867243741334397, 0.051991365191437169, 0.052131038070247777, 0.052289962667756054, 0.052473117007382261, 0.052687350574404324, 0.052942337835090308, 0.053252170653659663, 0.053638143412128553, 0.054133901512521801, 0.05479562461754664, 0.055723943808342627, 0.057116530844787815, 0.059414044835237642, 0.063797638975277404, 0.074511519495951056, 0.11708014102237557, 0.23798880617130236, 0.068841441465070458, 0.051735613652813033, 0.049005111866099633, 0.048465298699823071, 0.048437275353752342, 0.048547555136699901, 0.048690164518725917, 0.048831372613551902, 0.048960429722160102, 0.049074616998926013, 0.049174122908699214, 0.049260145464102789, 0.04933416000243724, 0.049397636593374206, 0.049451937745376234, 0.049498289147308167, 0.049537779156457649, 0.049571368507079862, 0.049599902631434677, 0.04962412368882551, 0.049644681404230527, 0.04966214262711121, 0.049676999797990486, 0.04968967855904103, 0.049700544705966465, 0.049709910616470274, 0.049718041233451582, 0.049725159638644982, 0.049731452226052179, 0.049737073471730134, 0.049742150293605215, 0.049746785998317944, 0.049751063818636254, 0.049755050052473382, 0.049758796821559377, 0.04976234447351964, 0.049765723655174225, 0.049768957087268306, 0.049772061071744991, 0.049775046762354669, 0.049777921228142681, 0.049780688337464706, 0.049783349487881941, 0.049785904204792786, 0.04978835062911368, 0.049790685911843366, 0.049792906531003947, 0.049795008544295923, 0.049796987788857022, 0.049798840037782614, 0.049800561121543165, 0.049802147021113422, 0.04980359393848971, 0.049804898349297709, 0.04980605704136646, 0.049807067142444997, 0.049807926139645707, 0.049808631892702696, 0.049809182642711614, 0.04980957701766249, 0.049809814035772323, 0.049809893107359789, 0.0498098793314787, 0.049809837982420647, 0.04980976899585253, 0.049809672264255339, 0.049809547636477033, 0.049809394917101839, 0.04980921386563316, 0.04980900419548371, 0.049808765572767089, 0.04980849761488268, 0.049808199888884505, 0.049807871909623345, 0.049807513137649972, 0.049807122976864321, 0.049806700771896306, 0.049806245805198365, 0.049805757293830549, 0.049805234385914832, 0.049804676156733459, 0.049804081604442295, 0.049803449645367544, 0.049802779108850614, 0.04980206873160082, 0.049801317151511933, 0.04980052290089329, 0.049799684399060178, 0.049798799944221657, 0.049797867704597217, 0.04979688570868529, 0.049795851834596755, 0.049794763798357393, 0.049793619141069959, 0.049792415214814652, 0.049791149167149787, 0.049789817924058705, 0.049788418171167907, 0.049786946333039581, 0.049785398550314733, 0.049783770654454149, 0.049782058139789809, 0.04978025613255984, 0.049778359356554044, 0.049776362094944827, 0.049774258147816962, 0.049772040784837691, 0.049769702692427191, 0.049767235914690566, 0.049764631787261475, 0.049761880863072434, 0.049758972828912208, 0.049755896411445392, 0.049752639271151991, 0.049749187882386726, 0.049745527397451132, 0.049741641492207368, 0.049737512190326745, 0.049733119662744928, 0.049728441998271422, 0.04972345494054993, 0.049718131585662385, 0.049712442033579163, 0.049706352985342067, 0.049699827276276434, 0.049692823333610074, 0.049685294544562504, 0.049677188518188968, 0.049668446220948764, 0.049659000962049553, 0.049648777200077758, 0.049637689137304007, 0.049625639062582605, 0.049612515398496197, 0.049598190404551643, 0.049582517488272172, 0.049565328084811559, 0.049546428092698325, 0.049525593916866367, 0.04950256830618513, 0.049477056452474306, 0.049448723385191275, 0.049417194847651343, 0.049382066208766243, 0.049342928941200036, 0.049299434979330925, 0.049251443565862689, 0.049199352695744339, 0.049144861888569862, 0.049092805308473229, 0.049055864123619675, 0.049067905980704658, 0.049227267005903089, 0.049868049786745992, 0.05248131571650911, 0.067847860108163544, 0.14903294544031298, 0.082082513875887303, 0.063101789170941919, 0.057595028194486655, 0.055227993610641415, 0.053965147385655651, 0.053197347080345195, 0.052688489580098384, 0.052330204586137435, 0.052066485652668151, 0.051865733475697104, 0.051708873869841104, 0.05158375945361527, 0.051482309845805853, 0.051398952428478722, 0.051329725366510856, 0.05127173789924834, 0.051222832982985009, 0.051181369408108059, 0.051146077043751993, 0.051115958274051902, 0.051090219434750492, 0.051068222223298397, 0.051049448706131026, 0.05103347577069637, 0.051019956259528432, 0.05100860491244022, 0.050999187823616413, 0.050991514507549907, 0.050985431931082514, 0.050980820051595731, 0.050977588531197354, 0.050975674391405046, 0.05097504044419246, 0.050975674391405018, 0.05097758853119734, 0.050980820051595752, 0.0509854319310825, 0.050991514507549907, 0.050999187823616357, 0.051008604912440254, 0.051019956259528453, 0.051033475770696404, 0.051049448706131068, 0.051068222223298432, 0.051090219434750443, 0.051115958274051861, 0.051146077043752, 0.051181369408108052, 0.051222832982985002, 0.051271737899248292, 0.051329725366510738, 0.051398952428478813, 0.05148230984580595, 0.051583759453615215, 0.051708873869841146, 0.051865733475697215, 0.052066485652668179, 0.052330204586137512, 0.052688489580098599, 0.053197347080345167, 0.05396514738565536, 0.055227993610640964, 0.057595028194486246, 0.063101789170948622, 0.082082513875893257, 0.14903294544031762, 0.067847860108139119, 0.052481315716505626, 0.049868049786746409, 0.049227267005903255, 0.049067905980704631, 0.049055864123619675, 0.049092805308473236, 0.049144861888569855, 0.049199352695744311, 0.049251443565862717, 0.049299434979330939, 0.049342928941200008, 0.04938206620876625, 0.049417194847651356, 0.049448723385191289, 0.049477056452474258, 0.04950256830618513, 0.049525593916866367, 0.049546428092698262, 0.049565328084811532, 0.049582517488272165, 0.049598190404551622, 0.049612515398496183, 0.049625639062582619, 0.049637689137303993, 0.049648777200077703, 0.049659000962049504, 0.049668446220948723, 0.049677188518188968, 0.04968529454456249, 0.049692823333610109, 0.049699827276276434, 0.049706352985342088, 0.049712442033579177, 0.049718131585662385, 0.049723454940549909, 0.049728441998271436, 0.049733119662744935, 0.049737512190326724, 0.049741641492207368, 0.049745527397451139, 0.049749187882386761, 0.049752639271152005, 0.049755896411445372, 0.049758972828912201, 0.04976188086307242, 0.049764631787261482, 0.049767235914690573, 0.049769702692427163, 0.049772040784837678, 0.049774258147816941, 0.049776362094944834, 0.049778359356554051, 0.049780256132559847, 0.049782058139789809, 0.049783770654454107, 0.049785398550314754, 0.049786946333039588, 0.049788418171167907, 0.04978981792405867, 0.049791149167149815, 0.049792415214814673, 0.049793619141069993, 0.049794763798357379, 0.049795851834596762, 0.049796885708685255, 0.04979786770459721, 0.049798799944221664, 0.049799684399060178, 0.049800522900893276, 0.049801317151511926, 0.049802068731600806, 0.049802779108850614, 0.049803449645367558, 0.049804081604442288, 0.049804676156733473, 0.049805234385914866, 0.049805757293830542, 0.049806245805198351, 0.04980670077189632, 0.049807122976864342, 0.049807513137649959, 0.04980787190962338, 0.049808199888884505, 0.049808497614882673, 0.049808765572767102, 0.04980900419548371, 0.04980921386563314, 0.049809394917101818, 0.049809547636477006, 0.049809672264255346, 0.049809768995852544, 0.049809837982420668, 0.049809879331478693, 0.049809893107359754, 0.049809886220354975, 0.049809865559868133, 0.049809831127482274, 0.049809782925836509, 0.049809720958627672, 0.049809645230612244, 0.049809555747608612, 0.04980945251650027, 0.049809335545239468, 0.049809204842851056, 0.04980906041943732, 0.049808902286182816, 0.049808730455360335, 0.049808544940336562, 0.049808345755578853, 0.049808132916662008, 0.049807906440275801, 0.049807666344232483, 0.049807412647475131, 0.049807145370085723, 0.049806864533294179, 0.049806570159487043, 0.049806262272216698, 0.04980594089621062, 0.049805606057380838, 0.049805257782833276, 0.0498048961008771, 0.049804521041034118, 0.049804132634047829, 0.049803730911892163, 0.049803315907780088, 0.049802887656171489, 0.049802446192780611, 0.049801991554582613, 0.049801523779819473, 0.049801042908004675, 0.04980054897992682, 0.049800042037651662, 0.04979952212452271, 0.049798989285160057, 0.049798443565456652, 0.04979788501257304, 0.049797313674928408, 0.049796729602189491, 0.049796132845255497, 0.049795523456239395, 0.049794901488445245, 0.049794266996340306, 0.049793620035522131, 0.049792960662679693, 0.04979228893554799, 0.049791604912855357, 0.049790908654262687, 0.049790200220293825, 0.049789479672255818, 0.04978874707214842, 0.049788002482561572, 0.049787245966558952, 0.049786477587547361, 0.049785697409129401, 0.049784905494937977, 0.049784101908451249, 0.049783286712785153, 0.049782459970461858, 0.04978162174315142, 0.049780772091383811, 0.0497799110742283, 0.049779038748937125, 0.049778155170549204, 0.049777260391450341, 0.049776354460885193, 0.049775437424415932, 0.049774509323322572, 0.049773570193938368, 0.049772620066914207, 0.049771658966404113, 0.04977068690916446, 0.049769703903557082, 0.049768709948447433, 0.049767705031985979, 0.049766689130261756, 0.049765662205814069, 0.049764624205987949, 0.049763575061117893, 0.049762514682520916, 0.049761442960280344, 0.049760359760798165, 0.049759264924092265, 0.04975815826081198, 0.049757039548943435, 0.049755908530172199, 0.049754764905868436, 0.049753608332656019, 0.049752438417522339, 0.049751254712423629, 0.049750056708332525, 0.04974884382867438, 0.049747615422088963, 0.049746370754451853, 0.049745109000082902, 0.049743829232062046, 0.049742530411568626, 0.049741211376150299, 0.049739870826824913, 0.049738507313908734, 0.04973711922146011, 0.049735704750222064, 0.049734261898941222, 0.049732788443939344, 0.049731281916811379, 0.049729739580127899, 0.049728158401023431, 0.049726535022567908, 0.049724865732834016, 0.049723146431605643, 0.04972137259471026, 0.049719539236018254, 0.049717640867227464, 0.049715671455653566, 0.049713624380381773, 0.049711492387307661, 0.049709267543817499, 0.049706941194140396, 0.049704503916758083, 0.049701945485700678, 0.049699254838103238, 0.049696420051065796, 0.049693428331672354, 0.049683370943153303, 0.049671364410101511, 0.049656965488639994, 0.049639774616630675, 0.0496195954428401, 0.049596704781458945, 0.049572210162086579, 0.049548315031044697, 0.049528027607827402, 0.049513655408203891, 0.049503985528414556, 0.049491861044601085, 0.049465363009628206, 0.049413578295702358, 0.049332748751951767, 0.049227490023044988, 0.049106944635086712, 0.048980028324740618, 0.048852953674254671, 0.048729320463524607, 0.048611812965644673, 0.04850508631753167, 0.048420958593382905, 0.048390287469368423, 0.048496054195444449, 0.048983481256285738, 0.050720368697980515, 0.0579342469933933, 0.10698421024871692, 0.21979519311677448, 0.094344820034208812, 0.069688557945225965, 0.061852365305166863, 0.05831041203659007, 0.056368931218591732, 0.055171386403677622, 0.054372538976855074, 0.05380960314938725, 0.053396777826883894, 0.053084909017008963, 0.052843949975913497, 0.05265455021221329, 0.052503698392337199, 0.052382319792228647, 0.05228388148410789, 0.052203546935771714, 0.052137644655450344, 0.052083323790617558, 0.052038325020099953, 0.052000824774108272, 0.051969327365138561, 0.051942589159429446, 0.051919564598182831, 0.051899367351956049, 0.051881242072671842, 0.051864543611810775, 0.051848721500725899, 0.051833308118192048, 0.051817909409422963, 0.051802197336216667, 0.051785903470628218, 0.051768813320070772, 0.051750761105824529, 0.051731624819534548, 0.0517113214598501, 0.051689802408335227, 0.051667048943570763, 0.051643067917832845, 0.051617887634524455, 0.051591553969137428, 0.051564126774300417, 0.051535676602570947, 0.051506281770956036, 0.051476025780275637, 0.051444995091647121, 0.051413277252466819, 0.051380959355858423, 0.051348126810959821, 0.05131486239669604, 0.051281245568759036, 0.051247351988186973, 0.051213253239950136, 0.051179016711023997, 0.051144705599288472, 0.051110379026975107, 0.05107609223507787, 0.051041896837956888, 0.051007841120168533, 0.050973970360234953, 0.050940327168557141, 0.050906951828933344, 0.050873882635142913, 0.050841156215800196, 0.050808807842169984, 0.050776871714892882, 0.050745381226609966, 0.050714369198329043, 0.050683868088069274, 0.050653910170873756, 0.050624527689724523, 0.050595752977247589, 0.050567618548380142, 0.050540157164404895, 0.050513401868952132, 0.050487385996746126, 0.050462143156028968, 0.050437707185754875, 0.050414112088803309, 0.05039139194262289, 0.050369580788887314, 0.050348712503925301, 0.050328820651866807, 0.050309938322636708, 0.050292097957113042, 0.050275331161944797, 0.050259668516689206, 0.050245139376075748, 0.050231771670319295, 0.050219591706493004, 0.050208623974009589, 0.050198890957259719, 0.050190412958398434, 0.050183207933161132, 0.050177291342425136, 0.050172676022006583, 0.050169372072910029, 0.050167386773918188, 0.050166724518038171, 0.05016716603775271, 0.050168489806591963, 0.050170693456743423, 0.050173773052137181, 0.050177723103708889, 0.050182536590438594, 0.050188204985843921, 0.050194718289515862, 0.050202065063205716, 0.050210232470893609, 0.050219206322197389, 0.050228971118415656, 0.050239510100441122, 0.050250805297726839, 0.050262837577446859, 0.050275586692951395, 0.050289031330592787, 0.050303149153970494, 0.050317916844633576, 0.050333310138269471, 0.050349303855407875, 0.050365871925679415, 0.050382987404681119, 0.050400622482529966, 0.050418748483218152, 0.050437335853929413, 0.050456354143536108, 0.050475771969568595, 0.050495556973039958, 0.050515675760621159, 0.050536093833797952, 0.050556775504807819, 0.050577683799357863, 0.050598780346363559, 0.05062002525524241, 0.05064137698163966, 0.050662792182868885, 0.050684225564827989, 0.050705629722701331, 0.05072695497838995, 0.050748149218327668, 0.050769157736139922, 0.050789923085478549, 0.050810384949312948, 0.050830480032954338, 0.050850141989109338, 0.050869301384263613, 0.050887885716633864, 0.050905819496730564, 0.050923024402165763, 0.050939419518622214, 0.050954921678766009, 0.050969445910216342, 0.050982906002363895, 0.050995215199737827, 0.051006287026666756, 0.051016036244094266, 0.051024379934580283, 0.051031238705795554, 0.051036537996331066, 0.05104020946062178, 0.051042192402556981, 0.051042435220344434, 0.051040896818920656, 0.051037547941224205, 0.051032372366544648, 0.05102536792346276, 0.051016547267024211, 0.051005938374998228, 0.050993584726382955, 0.050979545136496628, 0.050963893236514866, 0.050946716600420376, 0.050928115538044862, 0.050908201588124667, 0.050887095758970428, 0.050864926575472376, 0.050841827998947507, 0.050817937290280536, 0.050793392886755641, 0.050768332359090514, 0.050742890507948647, 0.05071719764933412, 0.050691378126631818, 0.050665549074566316, 0.050639819447894384, 0.050614289315991136, 0.050589049414240764, 0.050564180934709706, 0.050539755532180479, 0.050515835517293377, 0.050492474206167821, 0.050469716395236876, 0.050447598930836515, 0.050426151345022166, 0.050405396531816977, 0.050385351441332445, 0.050366027772672239, 0.050347432650033122, 0.050329569269774735, 0.050312437509335145, 0.050296034491641495, 0.050280355101067403, 0.050265392449010453, 0.050251138288812967, 0.050237583381056022, 0.050224717811250673, 0.050212531262673728, 0.050201013247588085, 0.050190153300388715, 0.050179941136362122, 0.05017036677977102, 0.050161420664908883, 0.050153093713632371, 0.050145377392694014, 0.05013826375398258, 0.050131745460541159, 0.050125815800990355, 0.050120468694737415, 0.050115698690110053, 0.05011150095731895, 0.05010787127792906, 0.05010480603230328, 0.050102302186281721, 0.05010035727816483, 0.050098969406886712, 0.050098137222092762, 0.050097859916666501], [0.049845809537269636, 0.049846404911891053, 0.049848190612847731, 0.049851165381702742, 0.049855327155326395, 0.049860673117223128, 0.049867199769253294, 0.049874903023638173, 0.049883778315127789, 0.049893820733229989, 0.049905025174445568, 0.049917386514526138, 0.049930899800885699, 0.049945560465454397, 0.049961364558467107, 0.049978309003942081, 0.049996391877936835, 0.050015612711074929, 0.050035972817331777, 0.050057475651676155, 0.050080127199889454, 0.050103936404774126, 0.050128915634023927, 0.050155081196332316, 0.050182453913886663, 0.050211059761325845, 0.050240930583608276, 0.05027210490816203, 0.05030462887033034, 0.050338557275681178, 0.050373954828486493, 0.050410897562966739, 0.050449474523199998, 0.050489789749588947, 0.050531964645336352, 0.050576140816738301, 0.050622483507957082, 0.050671185786682803, 0.050722473685114053, 0.050776612565835072, 0.050833915071492146, 0.050894751141014105, 0.050959560748896168, 0.051028870271089169, 0.051103313737104833, 0.051183660749041265, 0.051270853623493123, 0.051366057486638153, 0.051470728867034965, 0.051586711195027828, 0.051716370249899418, 0.051862790289930322, 0.052030064767644962, 0.052223738837098688, 0.052451503712551167, 0.052724325256934226, 0.05305835551804354, 0.05347833256625685, 0.054023994427274909, 0.054763088322408192, 0.055820279319896624, 0.057449494393840873, 0.060246694408283979, 0.065940208509764009, 0.081633936597170581, 0.16020182941420127, 0.14990413663699975, 0.059278396555344913, 0.050116597001357184, 0.048436215170030411, 0.048121471928587803, 0.048151345230903905, 0.04827520426437279, 0.048418055230998965, 0.048555479144502957, 0.048679808856755158, 0.048789372564407581, 0.048884686475075059, 0.048967013674427767, 0.049037801218722372, 0.049098462584656923, 0.049150300302386159, 0.0491944856228183, 0.049232060478816488, 0.049263947133277815, 0.049290959544540755, 0.049313814226669396, 0.0493331399778928, 0.049349486481944232, 0.049363331988229987, 0.049375090294701642, 0.049385117207745452, 0.049393716589648952, 0.049401146048975698, 0.049407622290013525, 0.049413326114588776, 0.049418407060016489, 0.049422987656890578, 0.049427167296104621, 0.049431025702917561, 0.049434626024859034, 0.049438017548418221, 0.049441238066018731, 0.049444315919473507, 0.049447271748968236, 0.049450119977851377, 0.04945287006342379, 0.049455527542830752, 0.049458094901379347, 0.04946057228838438, 0.049462958103204342, 0.049465249471621973, 0.049467442630272029, 0.049469533234496842, 0.049471516602868602, 0.049473387909681116, 0.049475142334990924, 0.049476775180273602, 0.049478281956447052, 0.049479658449881662, 0.049480900771049469, 0.049482005389643473, 0.049482969159303461, 0.049483789334498311, 0.049484463581622562, 0.049484989985949357, 0.049485367055728813, 0.049485593724422704, 0.049485669351804006, 0.049485656084591108, 0.049485616262371294, 0.049485549823315503, 0.049485456664088545, 0.049485336639417454, 0.049485189561482866, 0.049485015199130317, 0.049484813276895842, 0.049484583473839716, 0.049484325422181001, 0.049484038705723897, 0.049483722858065293, 0.049483377360572074, 0.049483001640113801, 0.04948259506653678, 0.049482156949860419, 0.049481686537177903, 0.049481183009238178, 0.049480645476685792, 0.049480072975930309, 0.049479464464615278, 0.049478818816653176, 0.049478134816787173, 0.049477411154638717, 0.049476646418192896, 0.049475839086669152, 0.049474987522718894, 0.049474089963883493, 0.049473144513240336, 0.049472149129153785, 0.049471101614039455, 0.049469999602038517, 0.049468840545485955, 0.049467621700042493, 0.049466340108343207, 0.049464992581997998, 0.049463575681756203, 0.049462085695625012, 0.0494605186147015, 0.049458870106447832, 0.049457135485100445, 0.049455309678862303, 0.049453387193477694, 0.049451362071731841, 0.049449227848351381, 0.049446977499704496, 0.049444603387609219, 0.049442097196454447, 0.049439449862713022, 0.049436651495784155, 0.049433691288930361, 0.049430557418874428, 0.049427236932384433, 0.04942371561789273, 0.049419977859862248, 0.049416006473212599, 0.049411782514645348, 0.049407285067136111, 0.049402490993180732, 0.049397374651560182, 0.049391907571403069, 0.049386058076134755, 0.049379790848466332, 0.049373066425850834, 0.04936584061375153, 0.049358063801572934, 0.049349680163129135, 0.049340626720006601, 0.049330832242092081, 0.04932021595490229, 0.049308686018341909, 0.049296137736549367, 0.049282451454508262, 0.049267490096017205, 0.049251096303175541, 0.049233089157044427, 0.049213260506612157, 0.04919137103585039, 0.04916714640982562, 0.049140274266804895, 0.04911040368050186, 0.049077150457817451, 0.049040115240924616, 0.0489989290446807, 0.04895335774052887, 0.04890353588249445, 0.04885049492919126, 0.048797397621811456, 0.048752590297871427, 0.048737796771289962, 0.04881281365525187, 0.049163312718934267, 0.05050041390766067, 0.056760452925598948, 0.10509969794817639, 0.11147970589470754, 0.068982469380509906, 0.059433261317245203, 0.055939230117545667, 0.054236335233455266, 0.053257840306859275, 0.052633634556173703, 0.052205971307084056, 0.051897529174839085, 0.051666380295337412, 0.051487985055266416, 0.051347096575546272, 0.051233775631547962, 0.051141282251784791, 0.051064892657617399, 0.051001202192294627, 0.05094769732321449, 0.050902483447448486, 0.050864106459973649, 0.050831432674729553, 0.050803566149279576, 0.050779790621227935, 0.050759528023504717, 0.050742308406232783, 0.050727747859116414, 0.050715532145632569, 0.050705404483121046, 0.050697156380376522, 0.050690620766312783, 0.050685666864925767, 0.05068219642790335, 0.05068014104914955, 0.050679460369919861, 0.050680141049149523, 0.05068219642790333, 0.050685666864925774, 0.050690620766312783, 0.050697156380376501, 0.050705404483120983, 0.05071553214563259, 0.050727747859116434, 0.050742308406232832, 0.05075952802350478, 0.050779790621227935, 0.050803566149279555, 0.050831432674729518, 0.050864106459973649, 0.050902483447448479, 0.050947697323214476, 0.051001202192294565, 0.051064892657617274, 0.051141282251784909, 0.051233775631548087, 0.051347096575546237, 0.051487985055266444, 0.051666380295337558, 0.051897529174839092, 0.052205971307084126, 0.052633634556173953, 0.053257840306859226, 0.054236335233454842, 0.055939230117544932, 0.059433261317244718, 0.068982469380522826, 0.11147970589472503, 0.1050996979481449, 0.056760452925590212, 0.050500413907658928, 0.049163312718934489, 0.04881281365525194, 0.048737796771289955, 0.04875259029787142, 0.048797397621811463, 0.048850494929191267, 0.04890353588249443, 0.048953357740528905, 0.048998929044680728, 0.049040115240924588, 0.049077150457817444, 0.049110403680501881, 0.049140274266804888, 0.049167146409825578, 0.04919137103585039, 0.049213260506612178, 0.049233089157044357, 0.049251096303175507, 0.049267490096017191, 0.049282451454508241, 0.04929613773654936, 0.049308686018341916, 0.04932021595490229, 0.049330832242092053, 0.049340626720006574, 0.049349680163129107, 0.049358063801572934, 0.049365840613751516, 0.049373066425850862, 0.049379790848466339, 0.049386058076134762, 0.049391907571403063, 0.049397374651560161, 0.049402490993180712, 0.049407285067136132, 0.049411782514645335, 0.049416006473212593, 0.049419977859862248, 0.049423715617892772, 0.049427236932384461, 0.049430557418874449, 0.049433691288930354, 0.049436651495784155, 0.049439449862713002, 0.049442097196454454, 0.049444603387609261, 0.049446977499704475, 0.049449227848351367, 0.049451362071731841, 0.049453387193477701, 0.049455309678862323, 0.049457135485100459, 0.049458870106447811, 0.049460518614701472, 0.049462085695625019, 0.049463575681756217, 0.049464992581997998, 0.0494663401083432, 0.049467621700042493, 0.049468840545485969, 0.049469999602038538, 0.049471101614039434, 0.049472149129153778, 0.049473144513240322, 0.049474089963883493, 0.049474987522718908, 0.049475839086669159, 0.049476646418192868, 0.04947741115463871, 0.049478134816787152, 0.049478818816653169, 0.049479464464615305, 0.049480072975930288, 0.049480645476685799, 0.049481183009238205, 0.049481686537177896, 0.049482156949860426, 0.049482595066536787, 0.049483001640113836, 0.04948337736057206, 0.049483722858065307, 0.04948403870572389, 0.04948432542218098, 0.049484583473839716, 0.049484813276895842, 0.049485015199130324, 0.049485189561482859, 0.04948533663941744, 0.049485456664088559, 0.049485549823315517, 0.049485616262371315, 0.049485656084591108, 0.049485669351803978, 0.049485662719106698, 0.049485642821640065, 0.049485609661280072, 0.04948556324115453, 0.049485503565644774, 0.049485430640388295, 0.049485344472281548, 0.049485245069484041, 0.049485132441422705, 0.049485006598797059, 0.049484867553585096, 0.049484715319049598, 0.049484549909745511, 0.04948437134152732, 0.049484179631557629, 0.049483974798315955, 0.049483756861608275, 0.049483525842576877, 0.049483281763711133, 0.049483024648858065, 0.049482754523234279, 0.049482471413437396, 0.049482175347458482, 0.049481866354694391, 0.049481544465960772, 0.049481209713504767, 0.049480862131018287, 0.049480501753651283, 0.049480128618024775, 0.049479742762243921, 0.049479344225911027, 0.049478933050138112, 0.049478509277559028, 0.049478072952341072, 0.049477624120196073, 0.049477162828390334, 0.049476689125753849, 0.049476203062688004, 0.049475704691172205, 0.049475194064768656, 0.049474671238625124, 0.049474136269475867, 0.049473589215639671, 0.049473030137015414, 0.049472459095074098, 0.049471876152847462, 0.04947128137491253, 0.049470674827371532, 0.049470056577826702, 0.049469426695349206, 0.049468785250442113, 0.049468132314995861, 0.049467467962235848, 0.04946679226666148, 0.049466105303975091, 0.049465407151000305, 0.049464697885588375, 0.049463977586510874, 0.049463246333338033, 0.049462504206300627, 0.049461751286133809, 0.049460987653901028, 0.049460213390795892, 0.049459428577919774, 0.04945863329603243, 0.049457827625273162, 0.049457011644848878, 0.049456185432686532, 0.049455349065045055, 0.049454502616083959, 0.049453646157382951, 0.04945277975740809, 0.049451903480919004, 0.049451017388311126, 0.049450121534885538, 0.049449215970040289, 0.049448300736373844, 0.049447375868692418, 0.049446441392910816, 0.04944549732483626, 0.049444543668822886, 0.049443580416283613, 0.049442607544044642, 0.049441625012526899, 0.049440632763735851, 0.049439630719040562, 0.049438618776720129, 0.049437596809253949, 0.049436564660328551, 0.049435522141533739, 0.049434469028714387, 0.049433405057944156, 0.049432329921082374, 0.049431243260871206, 0.049430144665528225, 0.049429033662781667, 0.049427909713295297, 0.049426772203420427, 0.049425620437209647, 0.049424453627621399, 0.049423270886835992, 0.04942207121560057, 0.049420853491511145, 0.049419616456135435, 0.049418358700872106, 0.049417078651436942, 0.049415774550860533, 0.049414444440876309, 0.049413086141575378, 0.049411697229202037, 0.049410275011965821, 0.049408816503748246, 0.04940731839559416, 0.049405777024889914, 0.049404188342156298, 0.049402547875414191, 0.049400850692129274, 0.049399091358802279, 0.04939726389835343, 0.04939536174555588, 0.049393377700910172, 0.049391303883524217, 0.049389131683782055, 0.049386851716855126, 0.049384453778442458, 0.049381926804533537, 0.049379258837474162, 0.04937643700119957, 0.049366905611671751, 0.049355439164295654, 0.049341561193344166, 0.04932478912061139, 0.049304737572263391, 0.049281288231679453, 0.049254801401235934, 0.049226250266927875, 0.049197019682960995, 0.049168068961469275, 0.04913851639656508, 0.049104558657532688, 0.049060162373618037, 0.04899983350549382, 0.048921558088344648, 0.048827544484070562, 0.048722531595873586, 0.048611409875500694, 0.048497763257399414, 0.048383734698000613, 0.048270923990371396, 0.048162197818713448, 0.048065145622808669, 0.047999937044917604, 0.048020448571771721, 0.048280814188835383, 0.049291167508297373, 0.053242116066788324, 0.075315196130534404, 0.24602764689494327, 0.11726403793874628, 0.074515329058874882, 0.063447157955190625, 0.058931749710759603, 0.056594987368548622, 0.05520459789688921, 0.054299386846944568, 0.05367245377565559, 0.053218567899779259, 0.05287903892774224, 0.05261873214616776, 0.05241539589832879, 0.052254272174546312, 0.052125185633357565, 0.052020882223627912, 0.051936036524029151, 0.051866635352982311, 0.051809582372983873, 0.051762437396336382, 0.051723240491916865, 0.051690391004316188, 0.05166256300700614, 0.051638645429316656, 0.051617699168535598, 0.051598926033057581, 0.05158164598170064, 0.051565280186088164, 0.051549338158523028, 0.051533407684042923, 0.051517146649731865, 0.05150027612444269, 0.051482574237227928, 0.051463870551162548, 0.051444040742265371, 0.051423001478252031, 0.051400705453944436, 0.051377136583193553, 0.051352305374402128, 0.05132624453115199, 0.05129900482385464, 0.0512706512753923, 0.051241259695797382, 0.051210913590221507, 0.051179701452498075, 0.051147714444840522, 0.051115044453591017, 0.051081782502032179, 0.05104801749439903, 0.051013835260424946, 0.050979317866908964, 0.050944543161667487, 0.050909584515535476, 0.050874510729492166, 0.050839386076200803, 0.050804270447989512, 0.050769219586327748, 0.050734285370971716, 0.050699516150023972, 0.050664957095061247, 0.050630650568166333, 0.050596636490112104, 0.050562952701065145, 0.050529635307014126, 0.05049671900668249, 0.050464237394989266, 0.050432223240194293, 0.05040070873273448, 0.050369725704459183, 0.050339305817526929, 0.050309480722663925, 0.050280282186829964, 0.050251742190610002, 0.050223892995870378, 0.0501967671844014, 0.050170397668431947, 0.050144817674046382, 0.050120060698683293, 0.050096160444042623, 0.050073150725882171, 0.050051065362348809, 0.050029938042664528, 0.050009802178164406, 0.049990690737870769, 0.049972636070971119, 0.049955669718745571, 0.049939822218654742, 0.049925122903446514, 0.049911599698255531, 0.049899278918759386, 0.049888185073492408, 0.04987834067341864, 0.049869766051807304, 0.049862479197341478, 0.049856495603224658, 0.049851828134818137, 0.049848486918065822, 0.049846479250628448, 0.049845809537269636, 0.049846256028565211, 0.049847594708616126, 0.049849823199062011, 0.049852937546408044, 0.049856932237516194, 0.049861800220957951, 0.049867532933899693, 0.049874120334101255, 0.049881550936526013, 0.049889811853982086, 0.049898888841139598, 0.049908766341204162, 0.049919427534466009, 0.049930854387890633, 0.049943027704873674, 0.049955927174240015, 0.04996953141754279, 0.049983818033687732, 0.049998763639897859, 0.050014343908022285, 0.050030533595192141, 0.050047306567835279, 0.050064635818073321, 0.050082493471551602, 0.050100850785784294, 0.050119678138140764, 0.050138945002658399, 0.050158619914938425, 0.05017867042447062, 0.050199063033846275, 0.050219763124453469, 0.050240734868418208, 0.050261941126758754, 0.050283343333963788, 0.050304901369505023, 0.050326573417144888, 0.050348315813317605, 0.050370082886353418, 0.05039182678888364, 0.050413497326419796, 0.050435041785842849, 0.050456404768372015, 0.050477528032499809, 0.050498350353372391, 0.050518807406144381, 0.050538831681913976, 0.050558352445911399, 0.050577295748614699, 0.050595584501335819, 0.050613138628468349, 0.050629875308921032, 0.05064570931915674, 0.05066055348959897, 0.050674319284820725, 0.050686917515777925, 0.050698259189283425, 0.05070825649586886, 0.05071682393213111, 0.050723879547655143, 0.050729346299789729, 0.050733153492156256, 0.050735238265150251, 0.050735547099298187, 0.050734037285700459, 0.050730678312530614, 0.05072545311327508, 0.050718359121662511, 0.05070940908048438, 0.050698631557023949, 0.050686071126604802, 0.050671788197588719, 0.050655858465432788, 0.050638371999345358, 0.05061943198161567, 0.05059915313568604, 0.050577659893330837, 0.050555084362857737, 0.050531564168238334, 0.050507240232995722, 0.050482254582372488, 0.050456748232981005, 0.050430859231320818, 0.050404720892014927, 0.050378460274288141, 0.050352196922063518, 0.050326041880016666, 0.050300096985798765, 0.050274454428045047, 0.050249196551134197, 0.050224395881169795, 0.050200115343333421, 0.050176408638478706, 0.050153320746353119, 0.050130888523835473, 0.050109141368721175, 0.050088101922531249, 0.050067786789259161, 0.050048207250620286, 0.05002936996202783, 0.050011277617003982, 0.049993929570941099, 0.049977322417974542, 0.049961450517183939, 0.049946306466393274, 0.049931881523508533, 0.049918165976642427, 0.049905149465266335, 0.049892821255341925, 0.049881170471863162, 0.049870186292522954, 0.049859858106346897, 0.049850175641142996, 0.049841129063530207, 0.049832709055156528, 0.04982490686851606, 0.04981771436554612, 0.049811124041936335, 0.049805129039828144, 0.049799723151328482, 0.049794900815010708, 0.049790657107335573, 0.049786987730695356, 0.049783888999562924, 0.049781357826024136, 0.049779391705773744, 0.049777988705469331, 0.049777147452165535, 0.049776867125377641], [0.049691332596745831, 0.049691936513266054, 0.049693747844879836, 0.049696765348328079, 0.049700986986763979, 0.049706409982563857, 0.049713030891136288, 0.049720845695627312, 0.049729849922416532, 0.049740038777322089, 0.049751407302486228, 0.049763950553993019, 0.049777663800394618, 0.049792542742492743, 0.04980858375494196, 0.049825784150522613, 0.049844142468287722, 0.049863658787221467, 0.049884335067577813, 0.049906175522717332, 0.04992918702503861, 0.049953379550552436, 0.049978766667788416, 0.050005366078122518, 0.050033200216308235, 0.050062296922074249, 0.050092690196212937, 0.050124421057749564, 0.050157538522732942, 0.050192100730140514, 0.050228176246638945, 0.050265845589900694, 0.050305203020355863, 0.050346358664412921, 0.050389441049285021, 0.050434600151998576, 0.050482011094839296, 0.050531878659112718, 0.050584442842486664, 0.05063998575785035, 0.050698840271610944, 0.050761400918490296, 0.050828137825921126, 0.0508996146610282, 0.050976512018534446, 0.051059658264212597, 0.051150070740613285, 0.051249011601448131, 0.051358064655771883, 0.051479242966889271, 0.051615142435925521, 0.051769165794741959, 0.051945857331805054, 0.052151417145209905, 0.052394516771678515, 0.052687641535133653, 0.053049397863769193, 0.053508690053760757, 0.054112771115083544, 0.054944015782888732, 0.056158497926161045, 0.058087067259139202, 0.061552480463131311, 0.069169121003776896, 0.093571363321556258, 0.23468420137865678, 0.095523469929339064, 0.054417285988966321, 0.049167531527655524, 0.048122124499246563, 0.047957993097051635, 0.048028615859414779, 0.048162080358252479, 0.048304750451594512, 0.048438953782734502, 0.048559338645430682, 0.048665042187451858, 0.04875684038847005, 0.048836050274895709, 0.048904097893366943, 0.048962352278945749, 0.049012068299984293, 0.049054373758566118, 0.04909027351197652, 0.049120659156450752, 0.049146319649651472, 0.049167951224071083, 0.049186166201269033, 0.049201500798496355, 0.049214422154435486, 0.049225334790746325, 0.049234586666001744, 0.049242474912269622, 0.04924925129034826, 0.049255127362907249, 0.049260279364747063, 0.049264852742628928, 0.049268966339532101, 0.049272716205976966, 0.049276179031185231, 0.049279415197183422, 0.049282471468144677, 0.049285383334607746, 0.049288177037476566, 0.049290871299973227, 0.049293478797235959, 0.049296007393367459, 0.049298461174783793, 0.049300841307019623, 0.049303146739982151, 0.049305374784237833, 0.049307521578429103, 0.049309582465477252, 0.049311552292911551, 0.049313425650526578, 0.049315197056633953, 0.049316861102453542, 0.04931841256267596, 0.049319846478914589, 0.04932115822163545, 0.049322343535186899, 0.049323398569731954, 0.049324319903193831, 0.049325104555741114, 0.049325749998849505, 0.049326254160563777, 0.049326615428234008, 0.04932683264970375, 0.049326905133669247, 0.049326892326323528, 0.04932685388444822, 0.049326789748445801, 0.049326699818709227, 0.049326583955203743, 0.049326441976877286, 0.049326273660896376, 0.049326078741702181, 0.049325856909880852, 0.04932560781084095, 0.049325331043289206, 0.04932502615749474, 0.049324692653330372, 0.049324329978077244, 0.049323937523979337, 0.049323514625529669, 0.049323060556470309, 0.049322574526484836, 0.049322055677560019, 0.049321503079989906, 0.04932091572799327, 0.049320292534912345, 0.049319632327955013, 0.049318933842441272, 0.049318195715507572, 0.049317416479219597, 0.0493165945530359, 0.049315728235560449, 0.049314815695513506, 0.049313854961841916, 0.049312843912881141, 0.049311780264469925, 0.049310661556907498, 0.049309485140628113, 0.049308248160453566, 0.049306947538265818, 0.04930557995392186, 0.049304141824209974, 0.049302629279619481, 0.049301038138667146, 0.04929936387948667, 0.04929760160834893, 0.049295746024733501, 0.049293791382518715, 0.049291731446794981, 0.049289559445734113, 0.049287268016862812, 0.049284849146991147, 0.049282294104930673, 0.049279593366003654, 0.049276736527185803, 0.049273712211538472, 0.049270507960367159, 0.04926711011128105, 0.049263503660021579, 0.049259672103558277, 0.049255597261513566, 0.049251259072453799, 0.049246635360957622, 0.049241701570620723, 0.049236430457252518, 0.04923079173543439, 0.049224751670298827, 0.049218272604816572, 0.049211312410982672, 0.049203823851022746, 0.049195753832030731, 0.049187042534241748, 0.049177622389402126, 0.049167416881423814, 0.049156339136820271, 0.04914429026761951, 0.049131157425252731, 0.049116811521779692, 0.049101104577614046, 0.049083866668224035, 0.049064902476794479, 0.049043987536126037, 0.049020864401090193, 0.048995239311522103, 0.048966780542868557, 0.04893512092447011, 0.048899869625663651, 0.048860643791548974, 0.048817142448436941, 0.048769311718489222, 0.048717713316909217, 0.048664366579482005, 0.048614763971826049, 0.048583044102184059, 0.048606644869555481, 0.04879400146169894, 0.0495146157298334, 0.052434571844702162, 0.069864584600116741, 0.15321902812479943, 0.081424541650343379, 0.062748218074384604, 0.057245913201322586, 0.054860749307863034, 0.053582397852533804, 0.052803118795923996, 0.052285852303955389, 0.05192132760440471, 0.051652904372484341, 0.051448555641870244, 0.051288916948930625, 0.051161640129629815, 0.051058502893475813, 0.050973830221285946, 0.050903585010405504, 0.050844820322822934, 0.050795336702283908, 0.050753460704264085, 0.050717897687858789, 0.050687631554982966, 0.050661855003582827, 0.050639920110429157, 0.050621302762931739, 0.050605576717727085, 0.050592394476310983, 0.050581473072358794, 0.050572583457170472, 0.050565542565168209, 0.050560207411351893, 0.050556470761200664, 0.050554258048785265, 0.05055352531916435, 0.050554258048785237, 0.050556470761200664, 0.0505602074113519, 0.050565542565168202, 0.050572583457170459, 0.050581473072358732, 0.050592394476310996, 0.050605576717727113, 0.050621302762931773, 0.050639920110429233, 0.050661855003582841, 0.050687631554982959, 0.050717897687858747, 0.050753460704264078, 0.050795336702283915, 0.05084482032282292, 0.050903585010405449, 0.050973830221285821, 0.051058502893475945, 0.05116164012962994, 0.051288916948930577, 0.051448555641870272, 0.051652904372484487, 0.051921327604404724, 0.052285852303955486, 0.052803118795924309, 0.05358239785253377, 0.054860749307862514, 0.057245913201321524, 0.062748218074383674, 0.081424541650371177, 0.15321902812480948, 0.069864584600104696, 0.052434571844698234, 0.049514615729832491, 0.048794001461699051, 0.048606644869555522, 0.048583044102184066, 0.048614763971826035, 0.048664366579482018, 0.048717713316909217, 0.048769311718489188, 0.048817142448436976, 0.048860643791548988, 0.048899869625663631, 0.048935120924470103, 0.04896678054286855, 0.048995239311522103, 0.049020864401090172, 0.049043987536126016, 0.049064902476794486, 0.049083866668223994, 0.049101104577614019, 0.049116811521779678, 0.04913115742525271, 0.049144290267619496, 0.049156339136820271, 0.049167416881423814, 0.049177622389402077, 0.049187042534241721, 0.049195753832030682, 0.049203823851022753, 0.049211312410982665, 0.0492182726048166, 0.049224751670298848, 0.049230791735434404, 0.049236430457252539, 0.049241701570620723, 0.049246635360957629, 0.049251259072453826, 0.049255597261513559, 0.049259672103558264, 0.049263503660021565, 0.049267110111281071, 0.049270507960367187, 0.049273712211538485, 0.04927673652718579, 0.049279593366003661, 0.049282294104930652, 0.049284849146991154, 0.049287268016862833, 0.049289559445734106, 0.049291731446794967, 0.049293791382518708, 0.049295746024733515, 0.049297601608348951, 0.049299363879486698, 0.049301038138667132, 0.049302629279619453, 0.04930414182420996, 0.049305579953921853, 0.049306947538265818, 0.049308248160453545, 0.049309485140628134, 0.049310661556907519, 0.049311780264469945, 0.049312843912881099, 0.049313854961841916, 0.049314815695513464, 0.049315728235560435, 0.049316594553035914, 0.049317416479219618, 0.049318195715507565, 0.049318933842441244, 0.049319632327955006, 0.049320292534912331, 0.049320915727993291, 0.049321503079989885, 0.049322055677560039, 0.049322574526484871, 0.049323060556470316, 0.049323514625529669, 0.049323937523979351, 0.049324329978077272, 0.049324692653330345, 0.049325026157494761, 0.049325331043289192, 0.04932560781084095, 0.049325856909880859, 0.049326078741702181, 0.049326273660896376, 0.049326441976877272, 0.04932658395520375, 0.049326699818709241, 0.049326789748445801, 0.049326853884448241, 0.049326892326323528, 0.049326905133669219, 0.049326898730882571, 0.049326879523243675, 0.049326847512916168, 0.049326802703507304, 0.049326745100070291, 0.049326674709107142, 0.049326591538572183, 0.049326495597876795, 0.049326386897894758, 0.049326265450968305, 0.049326131270915112, 0.049325984373035973, 0.049325824774123492, 0.049325652492470971, 0.04932546754788273, 0.049325269961684598, 0.049325059756735463, 0.049324836957439194, 0.049324601589757565, 0.049324353681223281, 0.049324093260954313, 0.049323820359667966, 0.049323535009696121, 0.049323237245000519, 0.04932292710118872, 0.049322604615530174, 0.049322269826972708, 0.049321922776159294, 0.049321563505444845, 0.04932119205891293, 0.049320808482392862, 0.049320412823476149, 0.049320005131533014, 0.049319585457728313, 0.049319153855037094, 0.049318710378259266, 0.049318255084033584, 0.049317788030850254, 0.049317309279062707, 0.049316818890897507, 0.049316316930462525, 0.049315803463753284, 0.049315278558656632, 0.049314742284951973, 0.04931419471430909, 0.049313635920282768, 0.049313065978303337, 0.049312484965662602, 0.049311892961494866, 0.049311290046752186, 0.049310676304173587, 0.049310051818246721, 0.049309416675162053, 0.049308770962758014, 0.049308114770456449, 0.049307448189187142, 0.049306771311300387, 0.049306084230465848, 0.049305387041556854, 0.049304679840518201, 0.0493039627242155, 0.049303235790264563, 0.049302499136838408, 0.049301752862449699, 0.04930099706570569, 0.04930023184503339, 0.049299457298371117, 0.049298673522823848, 0.049297880614277506, 0.049297078666968946, 0.049296267773006462, 0.04929544802183574, 0.049294619499646121, 0.049293782288710265, 0.049292936466651137, 0.049292082105628153, 0.049291219271434705, 0.049290348022497758, 0.049289468408769438, 0.04928858047049943, 0.049287684236876531, 0.0492867797245252, 0.049285866935842457, 0.049284945857159694, 0.049284016456709719, 0.04928307868238109, 0.049282132459236579, 0.04928117768677269, 0.049280214235892912, 0.049279241945567182, 0.049278260619143921, 0.049277270020281067, 0.0492762698684572, 0.049275259834020389, 0.04927423953272949, 0.049273208519736239, 0.049272166282954777, 0.049271112235757156, 0.04927004570892992, 0.049268965941821521, 0.049267872072602678, 0.049266763127557837, 0.04926563800931754, 0.049264495483937069, 0.049263334166718645, 0.049262152506669599, 0.049260948769483323, 0.04925972101892382, 0.049258467096491947, 0.049257184599249597, 0.049255870855677508, 0.049254522899445707, 0.04925313744098396, 0.049251710836750368, 0.049250239056117702, 0.049248717645822407, 0.049247141691961635, 0.049245505779574275, 0.049243803949910389, 0.04924202965558154, 0.049240175713896592, 0.049238234258829276, 0.049236196692239012, 0.049234053635183142, 0.049231794880420669, 0.049229409347524143, 0.049226885042389375, 0.049224209023371733, 0.04921512663141199, 0.049204119780603156, 0.049190691111611368, 0.049174306598364873, 0.049154465896367058, 0.049130817029756337, 0.04910329547982082, 0.049072210233978571, 0.049038127854061656, 0.049001407407698774, 0.048961457664420352, 0.048916215100392367, 0.048862536705295403, 0.048797607470034636, 0.048720429360677275, 0.048632241451622357, 0.048535689700117311, 0.048433548394583303, 0.048327846286741756, 0.04821971693515837, 0.048109914437786262, 0.047999996081480714, 0.047894680845295051, 0.047807187697329945, 0.047773183468690521, 0.047892750818246774, 0.048480783562008654, 0.05076285258557748, 0.06177222308645982, 0.15884653206692573, 0.16254379262021262, 0.082225031021387271, 0.065836754888928595, 0.05994348889530085, 0.057091760758737078, 0.05546244436396032, 0.054429684127796779, 0.053727693783920123, 0.053226398425895348, 0.052855289826080738, 0.052573074926478613, 0.052354053971682316, 0.052181422553233971, 0.052043730535906343, 0.051932896305707257, 0.051843037580279083, 0.051769754344040811, 0.051709673705851208, 0.051660152521890726, 0.051619078318163959, 0.051584733292448892, 0.051555699837303293, 0.051530793985844273, 0.051509017961442895, 0.051489525962786949, 0.051471599186031294, 0.051454627303434093, 0.05143809443301689, 0.051421568195620007, 0.051404690854632021, 0.051387171824875261, 0.051368781054561191, 0.051349342948803535, 0.05132873062795297, 0.051306860407420267, 0.05128368645345871, 0.05125919561600191, 0.051233402468800301, 0.051206344602161356, 0.051178078217741695, 0.051148674071023338, 0.051118213798005879, 0.051086786650568615, 0.051054486651799159, 0.051021410169787507, 0.050987653896961915, 0.050953313212604226, 0.050918480899018598, 0.050883246176958469, 0.050847694023180068, 0.050811904732111939, 0.050775953684266788, 0.050739911285816786, 0.050703843046372647, 0.050667809765140757, 0.050631867799034322, 0.050596069389770168, 0.050560463030350472, 0.050525093854488189, 0.050490004035425459, 0.050455233183172847, 0.050420818731448422, 0.050386796307531463, 0.050353200079872984, 0.050320063079658917, 0.050287417493625877, 0.050255294926318327, 0.050223726630683543, 0.050192743706454622, 0.050162377266202963, 0.05013265856927656, 0.050103619124100801, 0.050075290759524917, 0.050047705666066832, 0.050020896408059234, 0.049994895907831981, 0.049969737403204692, 0.049945454379700001, 0.04992208047903509, 0.049899649385606482, 0.049878194692853865, 0.049857749751561493, 0.049838347502341333, 0.049820020294724307, 0.049802799695464653, 0.049786716288826971, 0.049771799471775693, 0.049758077247101545, 0.049745576017612203, 0.049734320384550404, 0.049724332953404386, 0.049715634150215751, 0.049708242051375237, 0.049702172229728094, 0.049697437619573924, 0.049694048402865343, 0.049692011918566231, 0.049691332596745831, 0.049691785493658269, 0.049693143384571835, 0.049695403873220474, 0.049698562976459221, 0.049702615140040651, 0.049707553260359166, 0.049713368711826966, 0.04972005137945236, 0.04972758969610757, 0.049735970683891642, 0.049745179998918643, 0.049755201978793885, 0.049766019691979198, 0.049777614988192893, 0.049789968548945185, 0.049803059937266594, 0.049816867645659541, 0.049831369141273771, 0.049846540907292451, 0.04986235847950498, 0.049878796477038932, 0.049895828626231938, 0.049913427776633879, 0.049931565908156249, 0.049950214128414855, 0.049969342659355286, 0.04998892081230779, 0.050008916950688917, 0.050029298439655832, 0.050050031582131962, 0.05007108154075867, 0.050092412245497334, 0.05011398628681403, 0.050135764794625386, 0.050157707303491159, 0.050179771604897845, 0.050201913587907758, 0.05022408706995455, 0.050246243620155409, 0.050268332378190408, 0.050290299872573815, 0.05031208984301367, 0.050333643072516553, 0.050354897235939694, 0.05037578677279906, 0.050396242793285001, 0.050416193027570777, 0.050435561829573552, 0.050454270247264996, 0.050472236172343338, 0.050489374582464018, 0.050505597889159315, 0.050520816403927485, 0.050534938933601906, 0.050547873513886642, 0.050559528286758346, 0.050569812523202591, 0.050578637787455812, 0.050585919232609855, 0.050591577010249911, 0.050595537768987155, 0.050597736208686253, 0.050598116649352737, 0.050596634566616915, 0.050593258040165137, 0.050587969057984086, 0.050580764618498808, 0.050571657575077721, 0.050560677173230095, 0.050547869240154739, 0.050533295998827062, 0.050517035493938961, 0.050499180633851219, 0.050479837870170116, 0.050459125553393012, 0.050437172018050737, 0.050414113462808448, 0.050390091699210833, 0.050365251846654739, 0.050339740050595938, 0.050313701296192996, 0.050287277381136621, 0.050260605100146183, 0.05023381468052826, 0.050207028494320086, 0.050180360058861166, 0.050153913324985477, 0.050127782241045922, 0.050102050572087956, 0.050076791946885427, 0.050052070101235656, 0.05002793928372979, 0.050004444789897733, 0.049981623591838061, 0.04995950503281503, 0.049938111559481552, 0.049917459468042769, 0.049897559644524692, 0.049878418283139964, 0.049860037570370469, 0.049842416325702105, 0.049825550592879436, 0.049809434178059886, 0.049794059133342207, 0.049779416185830788, 0.04976549511371766, 0.049752285071852191, 0.049739774869970006, 0.049727953207218588, 0.049716808866881047, 0.049706330875310435, 0.049696508629073988, 0.04968733199420209, 0.049678791381266844, 0.049670877799798591, 0.049663582895305189, 0.049656898971896991, 0.049650819003256165, 0.049645336634423227, 0.049640446176616448, 0.049636142597050605, 0.04963242150548644, 0.049629279139016068, 0.049626712346381059, 0.049624718572918218, 0.049623295847040012, 0.049622442768980403, 0.049622158502361978], [0.049643471785583038, 0.049644085511132148, 0.049645926274157606, 0.049648992844699757, 0.049653283209160876, 0.049658794624745629, 0.049665523695561313, 0.049673466470286705, 0.049682618561319482, 0.049692975285341452, 0.049704531825301511, 0.049717283413905217, 0.049731225538836132, 0.049746354170117704, 0.049762666010261636, 0.049780158768151318, 0.049798831457989357, 0.049818684725104499, 0.049839721200980382, 0.049861945890565064, 0.049885366595755397, 0.049909994379971581, 0.049935844079964306, 0.049962934872502911, 0.049991290905420177, 0.050020942004735405, 0.050051924472349643, 0.050084281992239472, 0.050118066667366644, 0.050153340214911885, 0.050190175354257627, 0.050228657430843565, 0.050268886330174373, 0.050310978750702853, 0.050355070923144382, 0.050401321888546749, 0.050449917480290873, 0.050501075199180422, 0.050555050230231026, 0.050612142930954111, 0.050672708233032618, 0.050737167555883415, 0.050806024052138979, 0.050879882322781025, 0.050959474202000574, 0.051045692895536204, 0.051139638784976724, 0.051242681788239541, 0.051356547637372081, 0.051483439395203175, 0.051626212045127247, 0.051788629009727319, 0.051975748715527827, 0.052194524232494384, 0.052454764978951844, 0.052770740227998263, 0.053163978190237389, 0.053668428017833232, 0.05434063928868637, 0.055281587039650366, 0.056688773527166406, 0.058999805002014488, 0.063376785293941584, 0.073931107566867049, 0.11477784103737633, 0.26003972572965806, 0.071835366361833186, 0.051769707563103153, 0.048618404989879162, 0.047973476628554466, 0.047912121162296234, 0.048011432780891726, 0.048151399209213429, 0.048293372188998741, 0.048424615840468678, 0.04854152128901356, 0.048643845277763526, 0.04873256348199375, 0.04880903236509869, 0.048874658419978304, 0.048930772735818182, 0.048978589996801054, 0.049019201574718251, 0.049053581381618923, 0.04908259554319603, 0.049107012364984853, 0.049127511419454171, 0.049144691563589742, 0.049159078053526262, 0.049171129001830002, 0.04918124138852463, 0.049189756767210317, 0.049196966738655312, 0.049203118210578149, 0.049208418427574611, 0.049213039737567958, 0.049217124056874804, 0.049220787000639074, 0.04922412165510591, 0.04922720197993713, 0.049230085840372001, 0.049232817679206758, 0.049235430846642093, 0.049237949611850268, 0.049240390883761448, 0.049242765670351081, 0.049245080305998598, 0.049247337475644727, 0.049249537062849069, 0.049251676846725184, 0.0492537530703413, 0.049255760900695875, 0.049257694797935958, 0.049259548809167483, 0.049261316800062599, 0.049262992635529197, 0.04926457031898096, 0.049266044098228996, 0.049267408544700332, 0.049268658611555272, 0.049269789675309358, 0.049270797564744936, 0.049271678580206243, 0.049272429505787987, 0.0492730476164394, 0.049273530681593604, 0.04927387696658482, 0.049274085232820973, 0.049274154737423297, 0.04927414236355164, 0.049274105222787495, 0.049274043257602915, 0.049273956371847998, 0.049273844430345035, 0.049273707258315855, 0.049273544640640009, 0.049273356320938114, 0.049273142000475133, 0.049272901336876326, 0.049272633942647651, 0.049272339383490689, 0.049272017176401561, 0.049271666787540212, 0.04927128762985733, 0.049270879060460966, 0.049270440377706087, 0.049269970817985967, 0.049269469552203245, 0.04926893568189504, 0.049268368234983387, 0.049267766161120857, 0.049267128326594571, 0.049266453508750654, 0.049265740389895146, 0.049264987550622877, 0.049264193462519874, 0.049263356480178995, 0.049262474832461538, 0.049261546612928774, 0.049260569769359219, 0.049259542092257122, 0.049258461202245751, 0.049257324536226665, 0.049256129332170731, 0.0492548726123904, 0.049253551165123179, 0.049252161524234478, 0.049250699946822379, 0.049249162388479782, 0.049247544475934026, 0.049245841476747904, 0.049244048265721492, 0.04924215928758368, 0.049240168515503578, 0.049238069404884274, 0.049235854841822121, 0.049233517085522559, 0.04923104770385605, 0.049228437501111375, 0.049225676436856478, 0.049222753534641644, 0.049219656779076498, 0.049216372999568013, 0.04921288773872174, 0.049209185103065226, 0.049205247593348496, 0.049201055911191026, 0.049196588738266045, 0.049191822483519956, 0.049186730993091968, 0.049181285216599431, 0.049175452822251976, 0.049169197751811618, 0.04916247970467779, 0.049155253538291518, 0.049147468569564388, 0.049139067759083721, 0.049129986756385913, 0.049120152780605247, 0.049109483306369696, 0.049097884520138933, 0.049085249507793582, 0.04907145613128621, 0.049056364552738929, 0.049039814372766798, 0.049021621374135127, 0.049001573917687606, 0.048979429154804313, 0.048954909458023076, 0.048927699945242965, 0.048897448919610745, 0.048863774960832308, 0.04882628835098439, 0.048784642893458872, 0.048738652614517985, 0.048688550281444351, 0.048635568052713962, 0.048583290401339109, 0.048540996944909473, 0.048532646898592567, 0.048624049170020077, 0.049020081849691602, 0.050512112866840569, 0.057562222656258391, 0.11256227399588742, 0.11026319603192067, 0.068810424647172339, 0.059366590774890503, 0.055863674092327259, 0.054144007268210066, 0.053151732043457633, 0.052517121823998904, 0.052081646944963367, 0.051767278496108841, 0.051531576440256202, 0.051349644284754026, 0.051205985724594054, 0.051090484591335111, 0.050996273139232995, 0.050918533720859749, 0.050853791673331351, 0.050799480629701028, 0.050753665801815014, 0.05071486244896372, 0.050681913649698533, 0.050653906123593537, 0.050630111112638307, 0.050609942157929522, 0.050592924511308382, 0.050578672716540915, 0.050566874031559739, 0.050557276099942025, 0.050549677767597175, 0.050543922270739401, 0.050539892249859567, 0.050537506207054647, 0.050536716143671452, 0.050537506207054619, 0.050539892249859573, 0.050543922270739422, 0.050549677767597168, 0.050557276099941997, 0.050566874031559669, 0.050578672716540936, 0.05059292451130841, 0.050609942157929556, 0.05063011111263839, 0.050653906123593564, 0.050681913649698498, 0.050714862448963678, 0.050753665801815014, 0.050799480629701022, 0.050853791673331344, 0.050918533720859679, 0.050996273139232856, 0.051090484591335236, 0.051205985724594193, 0.051349644284753977, 0.051531576440256237, 0.051767278496109022, 0.052081646944963395, 0.052517121823999022, 0.053151732043458008, 0.054144007268209997, 0.055863674092326558, 0.059366590774888879, 0.068810424647170437, 0.11026319603198649, 0.11256227399586086, 0.05756222265625395, 0.050512112866838765, 0.049020081849691088, 0.048624049170020139, 0.048532646898592574, 0.048540996944909501, 0.048583290401339116, 0.048635568052713948, 0.048688550281444351, 0.048738652614517958, 0.048784642893458914, 0.048826288350984411, 0.048863774960832274, 0.048897448919610724, 0.048927699945242965, 0.04895490945802309, 0.048979429154804292, 0.049001573917687606, 0.049021621374135155, 0.049039814372766742, 0.049056364552738901, 0.049071456131286204, 0.049085249507793575, 0.049097884520138912, 0.04910948330636971, 0.049120152780605233, 0.049129986756385871, 0.049139067759083693, 0.049147468569564347, 0.049155253538291498, 0.04916247970467777, 0.049169197751811639, 0.04917545282225199, 0.049181285216599438, 0.049186730993091961, 0.049191822483519949, 0.049196588738266024, 0.049201055911191054, 0.049205247593348503, 0.049209185103065198, 0.049212887738721747, 0.049216372999568048, 0.049219656779076533, 0.049222753534641665, 0.049225676436856457, 0.049228437501111354, 0.049231047703856008, 0.049233517085522566, 0.049235854841822156, 0.049238069404884267, 0.049240168515503571, 0.049242159287583673, 0.049244048265721506, 0.049245841476747917, 0.049247544475934046, 0.049249162388479782, 0.049250699946822366, 0.049252161524234471, 0.049253551165123192, 0.049254872612390393, 0.04925612933217071, 0.049257324536226672, 0.049258461202245765, 0.049259542092257136, 0.049260569769359198, 0.04926154661292876, 0.049262474832461503, 0.049263356480178974, 0.049264193462519888, 0.049264987550622905, 0.049265740389895119, 0.049266453508750627, 0.049267128326594536, 0.04926776616112085, 0.049268368234983415, 0.049268935681895019, 0.049269469552203272, 0.049269970817985974, 0.049270440377706094, 0.049270879060460966, 0.049271287629857337, 0.049271666787540247, 0.04927201717640154, 0.049272339383490737, 0.049272633942647664, 0.049272901336876326, 0.049273142000475126, 0.049273356320938093, 0.049273544640639995, 0.049273707258315862, 0.049273844430345021, 0.049273956371848018, 0.049274043257602922, 0.04927410522278753, 0.04927414236355164, 0.049274154737423269, 0.049274148551352849, 0.049274129993957361, 0.04927409906768461, 0.049274055776615866, 0.049274000126468161, 0.049273932124597894, 0.049273851780004672, 0.049273759103336881, 0.049273654106897678, 0.049273536804652039, 0.049273407212234853, 0.049273265346959652, 0.049273111227828639, 0.049272944875543026, 0.049272766312514843, 0.049272575562879076, 0.049272372652507113, 0.049272157609020428, 0.049271930461805696, 0.049271691242029854, 0.049271439982656769, 0.049271176718463879, 0.049270901486059622, 0.049270614323901757, 0.049270315272315873, 0.049270004373514545, 0.049269681671616702, 0.049269347212667673, 0.049269001044659262, 0.049268643217549847, 0.049268273783284959, 0.049267892795817496, 0.049267500311127879, 0.049267096387244004, 0.049266681084260633, 0.049266254464358235, 0.049265816591821221, 0.049265367533054841, 0.049264907356601259, 0.049264436133154101, 0.049263953935571064, 0.04926346083888513, 0.049262956920312642, 0.049262442259259631, 0.049261916937324325, 0.049261381038296595, 0.049260834648153534, 0.049260277855050161, 0.049259710749305463, 0.049259133423382499, 0.049258545971862452, 0.04925794849141104, 0.049257341080737517, 0.049256723840544324, 0.049256096873467062, 0.04925546028400319, 0.049254814178428939, 0.04925415866470173, 0.049253493852348319, 0.049252819852335573, 0.049252136776922979, 0.049251444739494374, 0.049250743854366889, 0.04925003423657489, 0.049249316001625784, 0.049248589265225275, 0.049247854142968409, 0.049247110749993404, 0.049246359200593573, 0.049245599607783963, 0.049244832082817221, 0.049244056734643868, 0.049243273669311242, 0.049242482989294803, 0.04924168479275446, 0.049240879172708855, 0.049240066216119011, 0.049239246002871613, 0.049238418604652452, 0.049237584083698056, 0.04923674249141384, 0.049235893866844599, 0.049235038234982445, 0.049234175604896104, 0.049233305967662823, 0.049232429294083349, 0.049231545532157792, 0.049230654604298693, 0.049229756404253776, 0.049228850793710782, 0.049227937598551111, 0.049227016604717816, 0.04922608755366014, 0.049225150137311206, 0.0492242039925549, 0.049223248695129625, 0.049222283752916589, 0.049221308598551429, 0.049220322581295169, 0.049219324958095091, 0.049218314883758656, 0.049217291400160235, 0.049216253424391856, 0.049215199735765533, 0.049214128961566198, 0.049213039561450886, 0.049211929810383026, 0.049210797779986382, 0.049209641318199659, 0.049208458027111192, 0.049207245238853371, 0.049205999989437491, 0.049204718990419546, 0.049203398598294895, 0.049202034781540831, 0.049200623085246205, 0.049199158593305592, 0.049197635888197297, 0.049196049008425592, 0.049194391403782622, 0.049192655888682102, 0.04919083459393591, 0.04918891891749308, 0.049186899474839452, 0.049184766049972094, 0.049182507548119293, 0.049180111951675168, 0.049177566281164507, 0.049168884006895633, 0.049158287111543984, 0.049145266135492659, 0.049129256519898801, 0.049109689189238741, 0.049086073737527006, 0.049058099783034916, 0.049025705785740697, 0.048989025594369802, 0.048948134408131082, 0.048902647945024365, 0.048851452987564693, 0.048792924747043651, 0.048725664454598132, 0.048649273902603506, 0.048564573691605988, 0.048473145925789302, 0.048376598595719529, 0.048276025141252829, 0.048171884118429632, 0.048064316235336177, 0.047953942962595891, 0.047843510344946494, 0.047741596057188224, 0.047672071250840886, 0.047701497852597599, 0.048031729219266829, 0.049390383291162875, 0.055373333488526515, 0.098349764975623935, 0.24002498980981976, 0.095000793545182358, 0.069256309795039106, 0.061350783227894369, 0.057817924397644105, 0.055890575655505495, 0.054704608177285514, 0.053914756942496922, 0.053358974265589089, 0.052952057419848188, 0.052645251546504318, 0.052408761844950608, 0.052223391849088273, 0.052076220294596083, 0.051958220535581995, 0.051862879900527764, 0.051785363635800705, 0.051721989936881263, 0.051669890107757722, 0.051626782864487311, 0.051590821216515967, 0.051560486737993912, 0.051534515484101796, 0.051511845423939925, 0.051491578699296429, 0.051472954181073345, 0.051455327193035902, 0.051438154202121805, 0.051420980911302663, 0.051403432640520344, 0.05138520620766851, 0.051366062764167622, 0.051345821222456053, 0.051324352050661208, 0.051301571312454775, 0.051277434904229681, 0.051251932992297716, 0.051225084684011553, 0.051196932982411222, 0.051167540077759407, 0.051136983024491996, 0.051105349841648447, 0.051072736061320803, 0.051039241735148538, 0.051004968894947322, 0.050970019451272781, 0.05093449350371388, 0.050898488029258469, 0.050862095910161421, 0.050825405260160689, 0.050788499007305137, 0.05075145469268362, 0.050714344446581711, 0.050677235106667801, 0.050640188446388547, 0.050603261485570046, 0.050566506859047039, 0.050529973222834007, 0.050493705680783478, 0.050457746217791234, 0.050422134128365464, 0.050386906431766687, 0.050352098266965219, 0.050317743262364115, 0.050283873876640781, 0.050250521708195724, 0.050217717771601916, 0.050185492740161756, 0.050153877154229351, 0.050122901595377634, 0.050092596826813475, 0.050062993900688781, 0.05003412423314698, 0.050006019648098129, 0.049978712390852151, 0.049952235112856992, 0.049926620828916843, 0.049901902848390689, 0.049878114682010741, 0.049855289926111136, 0.049833462126222285, 0.049812664622156971, 0.049792930376896617, 0.049774291791769065, 0.049756780510586164, 0.049740427215577754, 0.04972526141810673, 0.049711311247269067, 0.049698603239574556, 0.049687162132941859, 0.04967701066824215, 0.049668169401565647, 0.04966065653026816, 0.049654487735681888, 0.049649676045134553, 0.049646231715632434, 0.049644162141213644, 0.049643471785583038, 0.049643932038371995, 0.049645311989393114, 0.049647609219880928, 0.049650819709411272, 0.049654937852003464, 0.049659956478312006, 0.049665866883563572, 0.049672658860798954, 0.049680320738894661, 0.04968883942475457, 0.049698200448985423, 0.049708388014299151, 0.049719385045823433, 0.049731173242443354, 0.049743733128250985, 0.049757044103134987, 0.049771084491513622, 0.049785831588183359, 0.049801261700239706, 0.049817350184015452, 0.049834071475975822, 0.049851399116516946, 0.049869305765622311, 0.049887763209357006, 0.049906742356206832, 0.049926213222311298, 0.049946144904696212, 0.04996650554167964, 0.049987262259714137, 0.050008381106039924, 0.050029826966660494, 0.050051563469322949, 0.050073552871396504, 0.050095755932793085, 0.050118131774387953, 0.050140637722766841, 0.050163229142568537, 0.050185859258216198, 0.050208478967441399, 0.050231036649712624, 0.050253477973488336, 0.050275745707126278, 0.05029777953929012, 0.050319515915795018, 0.050340887901003557, 0.05036182507309607, 0.050382253463748708, 0.050402095553903695, 0.050421270338332234, 0.050439693472475372, 0.050457277515494704, 0.050473932283437065, 0.050489565325781499, 0.050504082537239647, 0.050517388914384481, 0.050529389463363078, 0.050539990260521632, 0.050549099662205665, 0.050556629653346716, 0.050562497316857094, 0.050566626397591567, 0.050568948926091623, 0.050569406859012199, 0.050567953685663782, 0.050564555944162148, 0.050559194586967601, 0.050551866134756131, 0.050542583560105755, 0.050531376848703374, 0.050518293195695133, 0.05050339680811352, 0.050486768300364339, 0.050468503687606935, 0.05044871300031506, 0.050427518561055422, 0.050405052980257159, 0.050381456940302015, 0.050356876845743859, 0.050331462421332442, 0.050305364338642126, 0.050278731946773743, 0.050251711173444923, 0.050224442650720395, 0.050197060105720205, 0.05016968904198426, 0.050142445722797045, 0.05011543645455839, 0.05008875715689045, 0.050062493197014564, 0.050036719459209511, 0.05001150061585663, 0.049986891564502083, 0.049962937995231486, 0.049939677054087625, 0.049917138070881162, 0.049895343323168757, 0.049874308812065525, 0.049854045029618876, 0.049834557701483227, 0.049815848492412024, 0.049797915665519894, 0.049780754689289365, 0.049764358788873295, 0.049748719440379723, 0.049733826808537558, 0.049719670129469623, 0.049706238041285947, 0.049693518865903646, 0.04968150084594835, 0.049670172340840514, 0.049659521986260044, 0.049649538821149697, 0.049640212386294458, 0.049631532798325162, 0.04962349080276126, 0.049616077809449051, 0.049609285913475742, 0.049603107904363453, 0.049597537266071572, 0.049592568170068685, 0.049588195463478771, 0.049584414654065316, 0.04958122189358366, 0.049578613960820063, 0.04957658824542964, 0.049575142733493206, 0.049574275995534461, 0.04957398717756166], [0.049694120018546922, 0.049694744396043766, 0.049696617118665194, 0.049699736968056733, 0.04970410195112037, 0.049709709356196487, 0.049716555831612191, 0.049724637486516163, 0.049733950013925929, 0.049744488835948883, 0.049756249271206594, 0.049769226724590783, 0.049783416899626849, 0.049798816033920196, 0.049815421158414884, 0.049833230381519794, 0.049852243199565223, 0.049872460835551143, 0.049893886608758237, 0.049916526338536868, 0.049940388786486885, 0.049965486142336271, 0.049991834560147386, 0.050019454753099955, 0.050048372657071433, 0.050078620175661261, 0.050110236022306694, 0.050143266678858628, 0.050177767494649764, 0.05021380395595449, 0.050251453163177806, 0.050290805562621166, 0.050331966991896918, 0.050375061113929434, 0.050420232335216433, 0.050467649331368908, 0.050517509339314835, 0.050570043424385501, 0.050625522996716472, 0.050684267942116418, 0.050746656858272877, 0.050813140063457177, 0.050884256295327265, 0.050960654378185241, 0.051043121664613722, 0.051132621841695751, 0.051230345879000626, 0.051337781727562072, 0.051456811268511961, 0.051589847677302909, 0.051740034111359287, 0.051911537858068235, 0.052109997453924854, 0.052343223180397781, 0.052622333552777546, 0.052963676090772273, 0.053392234728011953, 0.053948037607174051, 0.054699102114633927, 0.055770053311671022, 0.057413251734719416, 0.060215986637925718, 0.065859085818926091, 0.081095492778050504, 0.15488013975019951, 0.17065130714887189, 0.061010692848849551, 0.050291058146858365, 0.048344536850833106, 0.0479614411875822, 0.047971791551664471, 0.048091594113083114, 0.048235951213290239, 0.048376935262128586, 0.048505479564225504, 0.048619306038414377, 0.048718653063048671, 0.048804652648132413, 0.048878691106228646, 0.0489421576111038, 0.048996351166981929, 0.049042452703695817, 0.049081523088016776, 0.049114510405898093, 0.049142259615296689, 0.049165521944507032, 0.049184963263780454, 0.049201171411249481, 0.049214662706029359, 0.049225887911973999, 0.049235237859280717, 0.049243048852420632, 0.049249607921134787, 0.049255157917808635, 0.049259902431376637, 0.049264010472465244, 0.04926762088240394, 0.049270846425447844, 0.049273777535061881, 0.049276485698329854, 0.049279026475339188, 0.049281442161476945, 0.04928376410933448, 0.049286014733216379, 0.049288209223247371, 0.049290356998089327, 0.049292462925722626, 0.049294528340997228, 0.049296551887086273, 0.049298530205877017, 0.049300458499952154, 0.049302330986333749, 0.049304141259713857, 0.049305882580565001, 0.049307548101370259, 0.049309131042261672, 0.049310624825619771, 0.049312023177662673, 0.049313320203730686, 0.049314510442835004, 0.049315588906069428, 0.049316551102660595, 0.049317393056740925, 0.049318111317342976, 0.049318702963626761, 0.049319165606939767, 0.049319497390963377, 0.049319696990905236, 0.049319763612443362, 0.049319751656802135, 0.049319715771379884, 0.049319655900602381, 0.049319571951583499, 0.049319463793730242, 0.049319331258185828, 0.049319174137108283, 0.04931899218277884, 0.049318785106535375, 0.049318552577523843, 0.049318294221259232, 0.049318009617987324, 0.049317698300836252, 0.04931735975374496, 0.049316993409156497, 0.049316598645458148, 0.049316174784152886, 0.049315721086741322, 0.049315236751292839, 0.049314720908680852, 0.049314172618455179, 0.049313590864321459, 0.04931297454919284, 0.049312322489776822, 0.049311633410655149, 0.049310905937809617, 0.049310138591541791, 0.049309329778728005, 0.049308477784345363, 0.049307580762194998, 0.049306636724742225, 0.049305643531982045, 0.049304598879228362, 0.04930350028371238, 0.049302345069861246, 0.049301130353113426, 0.049299853022106627, 0.049298509719055535, 0.049297096818110897, 0.049295610401466072, 0.049294046232943659, 0.049292399728760719, 0.049290665925128284, 0.049288839442293737, 0.049286914444578583, 0.049284884595900698, 0.049282743010194613, 0.049280482196057351, 0.049278093994845555, 0.049275569511331246, 0.049272899035885269, 0.049270071956993226, 0.049267076662717964, 0.049263900429494537, 0.049260529296377191, 0.04925694792253766, 0.049253139425437742, 0.049249085196647398, 0.049244764691741966, 0.049240155190068892, 0.049235231519402144, 0.049229965739577164, 0.049224326778085623, 0.049218280009272634, 0.049211786767170376, 0.049204803780073421, 0.049197282512654789, 0.049189168398676181, 0.04918039994411684, 0.049170907676793899, 0.049160612914311952, 0.04914942631759301, 0.049137246192680666, 0.049123956499792815, 0.049109424527352043, 0.049093498193157399, 0.049076002951101573, 0.049056738321610463, 0.049035474149761629, 0.049011946870368972, 0.048985856409873178, 0.048956865052684831, 0.048924600998965867, 0.048888672193825936, 0.048848701969831355, 0.048804410916417483, 0.048755798346181052, 0.048703545266722013, 0.048649933472324547, 0.048601045591314868, 0.048572421696410462, 0.04860514130983689, 0.048818498337408749, 0.049622039703251117, 0.052890765413904112, 0.072859650249568836, 0.15617003152983089, 0.080994174097189772, 0.062839318053489759, 0.057377297531210701, 0.054982700061457411, 0.053691117933715178, 0.052900728443838238, 0.052374801620096265, 0.05200359586462365, 0.051729993534152779, 0.051521598380395203, 0.051358775938388786, 0.051228982183655271, 0.051123851710239421, 0.051037603676576698, 0.050966121771963982, 0.050906399150672271, 0.050856190721761854, 0.050813788196424375, 0.05077787044728465, 0.050747401537400795, 0.050721559767710915, 0.050699687412385556, 0.050681254562856146, 0.050665832791448095, 0.050653075779968387, 0.050642704978548267, 0.050634498963458181, 0.05062828556731918, 0.050623936133040975, 0.05062136143883763, 0.050620508984608764, 0.050621361438837595, 0.050623936133040975, 0.050628285567319201, 0.050634498963458174, 0.050642704978548267, 0.050653075779968318, 0.050665832791448116, 0.05068125456285618, 0.050699687412385598, 0.050721559767711005, 0.050747401537400795, 0.050777870447284622, 0.050813788196424341, 0.05085619072176184, 0.050906399150672271, 0.050966121771963975, 0.051037603676576629, 0.051123851710239268, 0.05122898218365541, 0.051358775938388918, 0.051521598380395127, 0.051729993534152821, 0.052003595864623858, 0.052374801620096278, 0.052900728443838363, 0.053691117933715629, 0.054982700061457293, 0.057377297531209667, 0.062839318053487164, 0.080994174097186095, 0.15617003152987244, 0.072859650249557401, 0.052890765413902155, 0.049622039703250242, 0.048818498337408485, 0.048605141309836924, 0.048572421696410441, 0.048601045591314902, 0.048649933472324554, 0.04870354526672202, 0.048755798346181045, 0.048804410916417455, 0.048848701969831404, 0.048888672193825963, 0.048924600998965839, 0.048956865052684845, 0.048985856409873178, 0.049011946870369, 0.049035474149761601, 0.049056738321610456, 0.049076002951101594, 0.04909349819315733, 0.049109424527351994, 0.049123956499792801, 0.049137246192680659, 0.049149426317593004, 0.049160612914311959, 0.049170907676793885, 0.049180399944116798, 0.049189168398676146, 0.049197282512654754, 0.049204803780073421, 0.049211786767170355, 0.049218280009272662, 0.049224326778085636, 0.049229965739577171, 0.049235231519402151, 0.049240155190068878, 0.049244764691741938, 0.049249085196647419, 0.049253139425437742, 0.049256947922537632, 0.049260529296377184, 0.049263900429494564, 0.049267076662717992, 0.049270071956993247, 0.049272899035885269, 0.049275569511331253, 0.049278093994845527, 0.049280482196057358, 0.049282743010194655, 0.049284884595900684, 0.049286914444578556, 0.049288839442293716, 0.049290665925128312, 0.049292399728760726, 0.049294046232943659, 0.049295610401466051, 0.049297096818110876, 0.049298509719055528, 0.049299853022106634, 0.049301130353113419, 0.049302345069861232, 0.049303500283712373, 0.049304598879228397, 0.049305643531982059, 0.049306636724742198, 0.049307580762194991, 0.049308477784345335, 0.049309329778727998, 0.049310138591541798, 0.049310905937809631, 0.049311633410655115, 0.049312322489776801, 0.049312974549192812, 0.049313590864321452, 0.049314172618455186, 0.049314720908680831, 0.04931523675129286, 0.049315721086741357, 0.049316174784152886, 0.049316598645458135, 0.049316993409156497, 0.049317359753744995, 0.049317698300836224, 0.049318009617987345, 0.049318294221259239, 0.049318552577523843, 0.049318785106535382, 0.049318992182778826, 0.049319174137108283, 0.049319331258185835, 0.049319463793730194, 0.049319571951583506, 0.049319655900602402, 0.049319715771379911, 0.049319751656802135, 0.049319763612443328, 0.049319757635468781, 0.049319739705453738, 0.04931970982512468, 0.049319667999027372, 0.049319614233529721, 0.049319548536825429, 0.049319470918938707, 0.049319381391730095, 0.049319279968903479, 0.049319166666013846, 0.049319041500476356, 0.049318904491576082, 0.049318755660479344, 0.049318595030245146, 0.049318422625838618, 0.049318238474144495, 0.049318042603982176, 0.049317835046121285, 0.049317615833298488, 0.049317385000234658, 0.049317142583653432, 0.049316888622300097, 0.049316623156961455, 0.049316346230486259, 0.049316057887806443, 0.049315758175958742, 0.049315447144106871, 0.04931512484356429, 0.049314791327817187, 0.04931444665254768, 0.049314090875657329, 0.049313724057290717, 0.04931334625985874, 0.049312957548061934, 0.049312557988913402, 0.049312147651761083, 0.049311726608309542, 0.04931129493264054, 0.049310852701232852, 0.049310399992980487, 0.049309936889209101, 0.049309463473690952, 0.04930897983265696, 0.049308486054806672, 0.049307982231314669, 0.049307468455833919, 0.049306944824494832, 0.049306411435899943, 0.04930586839111345, 0.049305315793644729, 0.049304753749425966, 0.049304182366781718, 0.049303601756390959, 0.049303012031239608, 0.049302413306563125, 0.049301805699777518, 0.049301189330398183, 0.049300564319944111, 0.049299930791827123, 0.049299288871223444, 0.049298638684926378, 0.049297980361177732, 0.04929731402947575, 0.049296639820357209, 0.049295957865150723, 0.049295268295698559, 0.049294571244043184, 0.049293866842075693, 0.049293155221140791, 0.049292436511595726, 0.049291710842316476, 0.049290978340147187, 0.049290239129286359, 0.049289493330603673, 0.049288741060879798, 0.049287982431962078, 0.049287217549827102, 0.04928644651354059, 0.04928566941410463, 0.049284886333180143, 0.049284097341672987, 0.049283302498168979, 0.049282501847202738, 0.049281695417344437, 0.049280883219085053, 0.049280065242500642, 0.049279241454673196, 0.049278411796844071, 0.049277576181272834, 0.049276734487772984, 0.049275886559891922, 0.049275032200700453, 0.049274171168153698, 0.049273303169980784, 0.049272427858058895, 0.049271544822220112, 0.049270653583439045, 0.049269753586340559, 0.049268844190964521, 0.049267924663719001, 0.04926699416744651, 0.049266051750524419, 0.049265096334912738, 0.049264126703058839, 0.049263141483561056, 0.049262139135489352, 0.049261117931255871, 0.049260075937923108, 0.04925901099683562, 0.049257920701458908, 0.049256802373309747, 0.049255653035864114, 0.049254469386337395, 0.049253247765239302, 0.049251984123625164, 0.04925067398798455, 0.049249312422742435, 0.049247893990386878, 0.049246412709291941, 0.049244862009371254, 0.049243234685783455, 0.049241522851015372, 0.04923971788579664, 0.049237810389454392, 0.049235790130499384, 0.049233645998451411, 0.049231365958159551, 0.049228937008158065, 0.049220611498932518, 0.049210379381215849, 0.049197724695144961, 0.049182065468871897, 0.049162792180371347, 0.049139332324413525, 0.049111231194003069, 0.049078215166532886, 0.04904018079266264, 0.048997063559664704, 0.048948620152142179, 0.048894281276619045, 0.0488332651319765, 0.048764963187729403, 0.048689338658225674, 0.048607019607880567, 0.048519014117445261, 0.048426257799655127, 0.048329266856317284, 0.048228048721981186, 0.048122306842940214, 0.048011992971941996, 0.047898471116587557, 0.047787135930465109, 0.047693972238684872, 0.047663952743084749, 0.047830246581794661, 0.048645405859366324, 0.052099782036550801, 0.072506101596791328, 0.25879772951226221, 0.11756072013635481, 0.074169208700417391, 0.063230117613092454, 0.058785557462313967, 0.056485600031710777, 0.055116193994211443, 0.05422418759848114, 0.053606364182609369, 0.053159300343120199, 0.052825246016911596, 0.052569576239817409, 0.052370321462990317, 0.052212878708480862, 0.052087153443803609, 0.051985927511583804, 0.051903883586985639, 0.05183699933329744, 0.051782158879426096, 0.0517368968736946, 0.051699226057011528, 0.051667518929163873, 0.051640425279666807, 0.051616813952179076, 0.051595731215500859, 0.051576370613380516, 0.051558050769448471, 0.051540198683265107, 0.051522336774914634, 0.05150407244203789, 0.051485089259104395, 0.051465139219342496, 0.051444035622735265, 0.051421646365988186, 0.051397887503383255, 0.051372717028469683, 0.05134612888133977, 0.051318147219595683, 0.051288821007393424, 0.05125821898019934, 0.051226425036846712, 0.051193534098468739, 0.051159648458734414, 0.051124874633808229, 0.051089320705277018, 0.05105309413608021, 0.051016300028887407, 0.050979039788644556, 0.050941410146088953, 0.050903502496657392, 0.050865402508984615, 0.050827189958670214, 0.050788938745729727, 0.05075071705773343, 0.050712587644706729, 0.050674608176136712, 0.050636831654659285, 0.050599306865040904, 0.050562078840790649, 0.050525189334090281, 0.050488677277675108, 0.050452579229830083, 0.050416929795813324, 0.050381762020794515, 0.050347107750850002, 0.050312997959721918, 0.050279463039966811, 0.050246533057835774, 0.050214237971771818, 0.050182607814822013, 0.05015167284156883, 0.05012146364041354, 0.050092011212218908, 0.050063347016454006, 0.05003550298610384, 0.050008511512710525, 0.049982405403025912, 0.049957217808871038, 0.049932982131927747, 0.049909731905331413, 0.049887500654093669, 0.049866321736551394, 0.04984622816921859, 0.049827252437600479, 0.049809426295706283, 0.049792780557166585, 0.049777344881011293, 0.049763147555284694, 0.049750215281767811, 0.049738572965116253, 0.049728243509723956, 0.049719247627560054, 0.049711603660108863, 0.049705327417365198, 0.049700432036591448, 0.049696927863249495, 0.049694822356160906, 0.049694120018546922, 0.049694588259348978, 0.049695992165826854, 0.049698329293540712, 0.049701595579519281, 0.049705785358722721, 0.049710891386730065, 0.049716904868298113, 0.049723815491340244, 0.049731611465785266, 0.04974027956669181, 0.049749805180912585, 0.04976017235653233, 0.049771363854238158, 0.049783361199721328, 0.049796144736161792, 0.049809693675799904, 0.049823986149570489, 0.04983899925374026, 0.049854709092473991, 0.04987109081524084, 0.049888118647965336, 0.049905765916833128, 0.049924005063668002, 0.049942807651819958, 0.049962144361530576, 0.049981984973781389, 0.050002298341686589, 0.0500230523485585, 0.050044213851861828, 0.050065748612384706, 0.050087621208091078, 0.050109794932291882, 0.050132231675985739, 0.050154891794475728, 0.05017773395868852, 0.050200714992002293, 0.050223789693843932, 0.050246910651859343, 0.050270028045093923, 0.050293089441356104, 0.050316039592781921, 0.050338820234571903, 0.050361369892932717, 0.050383623709415147, 0.05040551329007744, 0.050426966589189992, 0.050447907838487689, 0.050468257534210428, 0.050487932495272884, 0.050506846006766595, 0.050524908063510905, 0.050542025728386966, 0.050558103619570194, 0.050573044539355141, 0.050586750254895327, 0.050599122437725665, 0.050610063764298753, 0.050619479173919422, 0.050627277273448151, 0.050633371870125801, 0.050637683605121248, 0.050640141651341453, 0.050640685430210913, 0.050639266294183104, 0.050635849115420913, 0.050630413717124186, 0.050622956083078756, 0.050613489283695766, 0.050602044063423855, 0.050588669044960455, 0.050573430519833387, 0.050556411811966045, 0.050537712219766967, 0.050517445561814533, 0.050495738369941368, 0.050472727790065057, 0.050448559264228851, 0.050423384076063858, 0.050397356845715724, 0.050370633059081175, 0.05034336671029873, 0.050315708126537476, 0.050287802031208632, 0.050259785886931092, 0.050231788544083639, 0.050203929205662676, 0.050176316705348972, 0.050149049083851871, 0.050122213439169942, 0.050095886019564523, 0.050070132523748541, 0.050045008570835429, 0.050020560302650487, 0.04999682508268221, 0.049973832258831972, 0.049951603960807875, 0.049930155907147937, 0.049909498201142939, 0.049889636099131614, 0.049870570738577182, 0.04985229981689554, 0.049834818215120813, 0.049818118563137816, 0.049802191745389628, 0.049787027347704793, 0.049772614047225959, 0.049758939948406793, 0.049745992868726725, 0.049733760578207137, 0.049722230997041914, 0.049711392355724915, 0.049701233322004268, 0.049691743098848364, 0.049682911497402268, 0.049674728988661106, 0.049667186737312248, 0.049660276620909737, 0.049653991237253156, 0.049648323902558175, 0.049643268642729367, 0.049638820179780073, 0.049634973915197063, 0.049631725911808589, 0.04962907287549656, 0.049627012137883605, 0.04962554164093002, 0.04962465992419321, 0.04962436611532204], [0.049435870690946744, 0.049436501266532387, 0.049438392590504948, 0.049441543466043347, 0.049445951936870833, 0.049451615344840751, 0.049458530410461977, 0.049466693336296955, 0.049476099933175692, 0.049486745769211242, 0.049498626341678106, 0.049511737271922866, 0.0495260745236362, 0.049541634645028539, 0.049558415035724071, 0.049576414239534634, 0.049595632264708776, 0.049616070933782806, 0.049637734265807844, 0.049660628894521171, 0.049684764526985219, 0.049710154448386959, 0.049736816080100943, 0.049764771599852972, 0.04979404863493387, 0.049824681042017607, 0.049856709790364773, 0.049890183969202785, 0.049925161945108557, 0.049961712701567712, 0.049999917400948578, 0.05003987121946292, 0.050081685518999559, 0.050125490437037908, 0.050171437998544052, 0.05021970588376088, 0.050270502025825774, 0.050324070266053206, 0.050380697368040094, 0.050440721792555619, 0.050504544775377226, 0.050572644447615563, 0.050645594019662378, 0.050724085457406136, 0.050808960678291729, 0.050901253190049421, 0.051002244457959658, 0.051113541404171403, 0.051237184806751483, 0.051375803844054699, 0.05153284119831833, 0.051712888957118286, 0.051922203830905421, 0.05216952277890665, 0.05246740241122673, 0.052834515252726769, 0.053299793436818843, 0.053910384888516495, 0.054748148186499916, 0.055967349680773437, 0.057892588593748039, 0.061322300539929313, 0.068749454461555337, 0.091854491111615116, 0.22664799950363482, 0.10552352884349081, 0.055267658351465729, 0.049130904134359235, 0.047907523190478002, 0.047694389502819595, 0.047750791267086874, 0.047881636749469825, 0.048026000834140825, 0.048163523432637731, 0.048287745781990743, 0.048397310596532475, 0.048492759339524884, 0.048575293397369511, 0.048646281727219763, 0.048707067737099506, 0.048758899478522577, 0.048802910543888064, 0.048840120861042488, 0.048871444282384914, 0.048897697595792676, 0.04891960899404612, 0.048937825510516085, 0.048952919511242816, 0.048965394508805646, 0.048975690560438788, 0.048984189442944748, 0.048991219713906603, 0.048997061696922257, 0.049001952376997428, 0.049006090161618998, 0.049009639450241407, 0.049012734955312706, 0.049015485726839794, 0.049017978845799476, 0.049020282766362049, 0.049022450300813855, 0.049024521253006242, 0.04902652471555545, 0.049028481052774353, 0.049030403595638435, 0.049032300077328735, 0.04903417383848728, 0.049036024830668892, 0.0490378504449651, 0.049039646190715498, 0.049041406246865746, 0.04904312390606503, 0.049044791929154979, 0.049046402825379622, 0.049047949071493742, 0.049049423281001168, 0.049050818333021433, 0.049052127468761385, 0.049053344362250187, 0.049054463170861803, 0.049055478570182776, 0.049056385776964889, 0.049057180563212316, 0.049057859263873987, 0.049058418780126109, 0.04905885657982318, 0.049059170696352641, 0.049059359726837781, 0.049059422830383149, 0.049059411403313165, 0.049059377104416602, 0.049059319880558054, 0.049059239642925592, 0.049059136266650115, 0.049059009590268668, 0.049058859415029146, 0.049058685504031238, 0.049058487581198552, 0.049058265330075519, 0.049058018392440964, 0.049057746366729597, 0.049057448806251382, 0.049057125217195956, 0.049056775056410665, 0.049056397728935247, 0.04905599258527784, 0.049055558918412491, 0.049055095960478051, 0.049054602879153961, 0.049054078773687344, 0.049053522670542728, 0.049052933518640804, 0.04905231018415096, 0.049051651444797194, 0.049050955983632565, 0.04905022238223216, 0.049049449113249148, 0.049048634532271748, 0.049047776868911791, 0.049046874217047481, 0.049045924524133547, 0.049044925579481882, 0.049043875001403725, 0.049042770223091128, 0.049041608477100554, 0.049040386778283936, 0.049039101904992652, 0.049037750378357815, 0.049036328439424647, 0.049034832023888704, 0.049033256734148045, 0.049031597808347163, 0.049029850086042583, 0.049028007970068947, 0.049026065384124157, 0.049024015725522285, 0.04902185181248251, 0.049019565825227408, 0.049017149240054417, 0.049014592755415129, 0.049011886208885691, 0.049009018483734207, 0.049005977403581071, 0.049002749613401488, 0.048999320444825224, 0.048995673763342157, 0.048991791794607359, 0.048987654926547178, 0.048983241483378591, 0.04897852746694905, 0.048973486259960688, 0.048968088284627398, 0.048962300609099486, 0.048956086492528861, 0.048949404857898261, 0.048942209679646333, 0.048934449270630904, 0.048926065450039045, 0.048916992570434754, 0.048907156378249793, 0.048896472677760504, 0.048884845764236691, 0.048872166588113115, 0.048858310609979451, 0.048843135308382392, 0.048826477313598578, 0.048808149169656062, 0.048787935791056364, 0.048765590812731199, 0.048740833295712403, 0.048713345773644168, 0.04868277566411857, 0.048648744161533287, 0.048610871035649317, 0.048568832889619669, 0.048522492516980965, 0.048472183280971894, 0.048419345337337917, 0.048368005894302263, 0.048328438838175988, 0.048327026470668152, 0.048436233787883226, 0.048882779493923161, 0.050552633511474585, 0.058559931718678425, 0.12150369497959564, 0.10804050728983118, 0.068425042418185214, 0.05921458813019722, 0.055741469632890964, 0.054021248170981029, 0.053023475136946628, 0.052383276016281594, 0.051943055489655825, 0.051624847592417436, 0.051386087196282001, 0.051201732957715074, 0.051056163510257352, 0.050939162879296312, 0.05084378569711414, 0.050765154421595321, 0.050699748269949323, 0.050644965433330774, 0.050598844044852716, 0.050559878954228324, 0.050526898274982253, 0.050498978330947901, 0.050475383922487259, 0.050455525683837474, 0.050438929226050616, 0.050425212569370374, 0.050414069516913476, 0.050405257367106583, 0.050398587857755167, 0.050393920571797889, 0.050391158270567782, 0.050390243790824886, 0.050391158270567726, 0.050393920571797875, 0.050398587857755181, 0.05040525736710659, 0.050414069516913448, 0.050425212569370305, 0.050438929226050644, 0.050455525683837509, 0.0504753839224873, 0.050498978330947991, 0.050526898274982274, 0.050559878954228289, 0.050598844044852667, 0.050644965433330753, 0.050699748269949302, 0.050765154421595307, 0.050843785697114077, 0.050939162879296153, 0.051056163510257498, 0.051201732957715226, 0.051386087196281946, 0.051624847592417471, 0.051943055489656074, 0.052383276016281621, 0.053023475136946774, 0.054021248170981633, 0.055741469632890901, 0.059214588130195762, 0.06842504241818026, 0.10804050728982248, 0.12150369497948769, 0.058559931718674588, 0.050552633511473627, 0.048882779493922668, 0.04843623378788306, 0.048327026470668152, 0.048328438838175961, 0.048368005894302291, 0.048419345337337931, 0.048472183280971901, 0.048522492516980952, 0.048568832889619634, 0.048610871035649365, 0.048648744161533301, 0.048682775664118556, 0.048713345773644161, 0.048740833295712403, 0.048765590812731199, 0.048787935791056336, 0.048808149169656062, 0.048826477313598599, 0.048843135308382336, 0.04885831060997943, 0.048872166588113115, 0.04888484576423667, 0.048896472677760462, 0.0489071563782498, 0.048916992570434741, 0.048926065450039004, 0.048934449270630877, 0.048942209679646291, 0.048949404857898261, 0.048956086492528847, 0.048962300609099514, 0.048968088284627412, 0.048973486259960709, 0.048978527466949057, 0.048983241483378584, 0.048987654926547171, 0.048991791794607373, 0.048995673763342157, 0.04899932044482519, 0.049002749613401481, 0.049005977403581091, 0.049009018483734242, 0.049011886208885698, 0.049014592755415122, 0.04901714924005441, 0.049019565825227394, 0.049021851812482524, 0.049024015725522334, 0.04902606538412415, 0.049028007970068919, 0.049029850086042576, 0.049031597808347177, 0.049033256734148052, 0.049034832023888697, 0.049036328439424647, 0.049037750378357801, 0.049039101904992652, 0.049040386778283949, 0.049041608477100561, 0.049042770223091087, 0.049043875001403739, 0.049044925579481903, 0.049045924524133568, 0.049046874217047461, 0.049047776868911791, 0.049048634532271713, 0.049049449113249155, 0.049050222382232174, 0.049050955983632558, 0.049051651444797173, 0.049052310184150946, 0.049052933518640797, 0.049053522670542721, 0.049054078773687344, 0.049054602879153933, 0.049055095960478086, 0.049055558918412533, 0.04905599258527784, 0.04905639772893524, 0.049056775056410679, 0.049057125217195983, 0.049057448806251375, 0.049057746366729618, 0.049058018392440964, 0.049058265330075498, 0.049058487581198552, 0.049058685504031231, 0.049058859415029146, 0.049059009590268661, 0.049059136266650094, 0.049059239642925599, 0.049059319880558075, 0.049059377104416615, 0.049059411403313186, 0.049059422830383115, 0.049059417117667627, 0.049059399980516977, 0.049059371421919226, 0.04905933144685632, 0.049059280062307177, 0.04905921727725164, 0.049059143102675715, 0.049059057551577911, 0.049058960638976912, 0.049058852381920023, 0.049058732799493146, 0.049058601912831512, 0.04905845974513192, 0.049058306321665565, 0.049058141669792346, 0.049057965818976118, 0.04905777880080088, 0.04905758064898804, 0.049057371399414781, 0.04905715109013295, 0.049056919761389574, 0.04905667745564752, 0.04905642421760744, 0.049056160094230396, 0.04905588513476105, 0.049055599390751922, 0.049055302916087624, 0.049054995767010362, 0.04905467800214524, 0.049054349682526213, 0.049054010871622401, 0.049053661635364225, 0.049053302042169747, 0.049052932162970839, 0.049052552071239174, 0.049052161843011394, 0.049051761556914167, 0.049051351294187855, 0.049050931138709439, 0.049050501177014053, 0.049050061498314625, 0.049049612194520024, 0.04904915336025046, 0.049048685092850666, 0.049048207492399562, 0.04904772066171674, 0.049047224706364745, 0.049046719734646881, 0.04904620585759957, 0.049045683188979027, 0.049045151845241428, 0.049044611945515328, 0.04904406361156595, 0.049043506967750179, 0.049042942140961006, 0.049042369260560492, 0.049041788458299977, 0.049041199868225416, 0.049040603626567432, 0.049039999871613241, 0.049039388743559259, 0.04903877038434179, 0.049038144937443844, 0.049037512547675355, 0.049036873360924105, 0.049036227523874099, 0.04903557518368809, 0.049034916487651029, 0.049034251582769098, 0.049033580615321502, 0.049032903730358561, 0.049032221071141684, 0.049031532778518835, 0.049030838990228982, 0.049030139840128495, 0.049029435457331211, 0.049028725965253955, 0.049028011480557541, 0.04902729211197298, 0.049026567959001205, 0.049025839110473944, 0.049025105642961565, 0.049024367619012237, 0.049023625085206912, 0.049022878070010226, 0.049022126581398089, 0.049021370604239618, 0.049020610097409302, 0.049019844990602315, 0.049019075180825031, 0.049018300528527722, 0.049017520853345806, 0.049016735929411331, 0.04901594548019312, 0.049015149172821744, 0.049014346611848482, 0.04901353733238787, 0.049012720792584008, 0.049011896365339376, 0.049011063329239962, 0.049010220858602842, 0.049009368012570782, 0.049008503723169915, 0.049007626782243782, 0.049006735827170224, 0.049005829325263907, 0.049004905556762915, 0.049003962596293714, 0.049002998292706941, 0.049002010247175681, 0.049000995789448637, 0.04899995195215346, 0.048998875443054028, 0.048997762615173884, 0.048996609434716461, 0.048995411446731738, 0.048994163738511572, 0.048992860900732321, 0.048991496986413419, 0.04899006546782373, 0.048988559191543088, 0.048986970331982307, 0.048985290343777604, 0.048983509913612847, 0.048981618912181078, 0.048979606347184249, 0.048977460318481325, 0.048975167976733416, 0.048967269631933902, 0.048957494803322191, 0.048945332308516817, 0.048930200827638562, 0.048911479908886446, 0.048888562897942425, 0.048860924990368135, 0.048828183229516105, 0.048790110646603796, 0.048746574518621404, 0.048697417988636992, 0.04864237523286398, 0.048581125967902372, 0.04851349365419648, 0.048439643067603885, 0.048360100841204734, 0.048275556738347838, 0.048186564825657155, 0.048093309140700299, 0.047995536595146125, 0.047892694051692997, 0.047784319535453403, 0.047670881956698545, 0.047555664949441002, 0.047449409355389341, 0.047382975937671823, 0.047446402162612124, 0.047931752756729701, 0.050009697388794759, 0.060676313111633344, 0.16535511445895498, 0.15977900749674259, 0.080918257573795255, 0.065232725419968232, 0.059563225773372259, 0.056805043737042836, 0.055222885830697538, 0.054217333438383641, 0.053532784598546532, 0.053043678699182514, 0.052681720511395191, 0.052406783685518987, 0.052193815589386752, 0.052026382042612535, 0.05189324687746466, 0.051786450118185334, 0.051700174651137333, 0.051630050370587398, 0.051572712251889204, 0.051525511646488477, 0.05148632318747693, 0.051453413105684513, 0.051425347965642521, 0.051400930538692248, 0.05137915416800086, 0.051359169852156106, 0.051340262104040024, 0.051321830842561152, 0.051303377387386655, 0.051284493194030327, 0.051264850374352688, 0.051244193347634574, 0.051222331191475207, 0.05119913042933838, 0.0511745081150973, 0.05114842516292957, 0.051120879929880389, 0.051091902093766482, 0.051061546885764024, 0.051029889739552269, 0.050997021411448677, 0.050963043612262365, 0.050928065174728317, 0.050892198762838764, 0.050855558112973161, 0.050818255782640959, 0.050780401371539517, 0.050742100171715439, 0.050703452198780356, 0.050664551554047491, 0.050625486067664649, 0.050586337174820716, 0.050547179980396949, 0.05050808347157254, 0.050469110842486217, 0.050430319899795004, 0.050391763522612584, 0.050353490154694668, 0.050315544310746911, 0.050277967082307674, 0.050240796631777933, 0.050204068665832685, 0.050167816881686318, 0.050132073381521522, 0.050096869051882445, 0.050062233906014074, 0.050028197388053593, 0.049994788638686422, 0.049962036722411549, 0.049929970816951955, 0.049898620365633369, 0.049868015193759718, 0.049838185590167033, 0.049809162355251201, 0.049780976816866863, 0.049753660815579297, 0.049727246660850696, 0.049701767059843471, 0.049677255020642602, 0.049653743731832949, 0.049631266420522006, 0.049609856191059364, 0.049589545846882056, 0.04957036769809553, 0.049552353357575893, 0.049535533528549197, 0.049519937786753641, 0.049505594360412866, 0.049492529911341863, 0.049480769320547707, 0.049470335481687305, 0.049461249105683482, 0.049453528539679464, 0.049447189603333518, 0.04944224544520557, 0.049438706421689196, 0.049436580000578156, 0.049435870690946744, 0.049436343579662909, 0.049437761427346023, 0.049440121781997512, 0.049443420568222561, 0.049447652103950926, 0.049452809123478915, 0.049458882806472267, 0.049465862812470014, 0.04947373732033921, 0.049482493072043554, 0.049492115420006831, 0.049502588377279742, 0.049513894669651594, 0.04952601578878827, 0.049538932045427544, 0.049552622621615722, 0.049567065620937684, 0.049582238115658116, 0.049598116189673781, 0.049614674976161316, 0.04963188868879706, 0.049649730645428609, 0.049668173283082748, 0.049687188163216087, 0.049706745966138152, 0.049726816473575595, 0.04974736853839784, 0.049768370040591543, 0.049789787828655126, 0.049811587645696584, 0.049833734039652272, 0.049856190257217964, 0.049878918121297078, 0.049901877892028997, 0.049925028111786007, 0.04994832543491249, 0.049971724443445983, 0.049995177450616018, 0.050018634294569285, 0.050042042125529637, 0.050065345190477298, 0.050088484620422383, 0.050111398226455925, 0.05013402031197299, 0.050156281509764124, 0.050178108654027026, 0.050199424698718034, 0.05022014869497958, 0.050240195841561114, 0.050259477623094281, 0.050277902051665185, 0.05029537402719806, 0.050311795831571533, 0.050327067769957941, 0.050341088970447666, 0.050353758349449086, 0.050364975745538235, 0.050374643218327214, 0.050382666501578771, 0.050388956591375073, 0.050393431440941709, 0.050396017724175991, 0.050396652620601154, 0.050395285566068801, 0.05039187990683168, 0.050386414390406503, 0.050378884425674127, 0.050369303047497059, 0.050357701528115036, 0.050344129588713218, 0.050328655179492858, 0.050311363814553096, 0.050292357467836467, 0.05027175305692972, 0.050249680561159374, 0.050226280837703523, 0.050201703213053388, 0.050176102936124907, 0.05014963858307523, 0.050122469502335253, 0.050094753381896492, 0.050066644010254305, 0.050038289288671989, 0.050009829536802081, 0.04998139611742685, 0.049953110390295159, 0.049925082990690969, 0.049897413416164202, 0.049870189895214877, 0.049843489504812523, 0.049817378499393487, 0.049791912812168368, 0.049767138689840451, 0.049743093423757642, 0.049719806143659867, 0.049697298644123693, 0.049675586218176748, 0.049654678477042372, 0.049634580139347427, 0.04961529177719811, 0.049596810510192109, 0.049579130641625495, 0.04956224423384363, 0.049546141621892692, 0.049530811866373557, 0.049516243147737678, 0.04950242310523658, 0.049489339124404792, 0.049476978577367818, 0.049465329020475846, 0.049454378353810349, 0.049444114947036252, 0.049434527735908264, 0.049425606293513571, 0.049417340880065962, 0.049409722474776353, 0.049402742793023063, 0.049396394291744777, 0.049390670165683138, 0.04938556433681833, 0.049381071439069585, 0.049377186800078757, 0.049373906421652333, 0.0493712269602163, 0.049369145708424482, 0.049367660578863312, 0.049366770090611967, 0.049366473359234185], [0.048827922410883261, 0.048828555025319659, 0.04883045247619338, 0.048833613597944608, 0.048838036487116036, 0.048843718561021432, 0.048850656639799941, 0.048858847051803933, 0.048868285762282943, 0.04887896852537596, 0.048890891059506968, 0.048904049246396943, 0.048918439354076491, 0.048934058284510237, 0.048950903846734568, 0.04896897505677672, 0.048988272466083761, 0.049008798520751504, 0.049030557954529506, 0.049053558219418814, 0.049077809958692306, 0.049103327528407743, 0.049130129574983784, 0.04915823967825405, 0.049187687071666542, 0.049218507454078839, 0.049250743911051498, 0.049284447967843439, 0.049319680801720833, 0.049356514648027698, 0.049395034443167153, 0.04943533975881919, 0.04947754709615345, 0.049521792627620832, 0.049568235498636176, 0.049617061834251477, 0.049668489639776298, 0.049722774843549887, 0.049780218810928631, 0.049841177770112446, 0.049906074746181361, 0.049975414819881825, 0.050049804843188425, 0.050129979202414778, 0.050216833897395813, 0.050311472224073707, 0.050415266908642398, 0.050529945982923145, 0.050657713598642039, 0.050801423395187291, 0.050964832876138691, 0.051152986158797535, 0.051372806656713593, 0.051634045698610631, 0.05195086043750774, 0.052344560376348992, 0.052848654805072469, 0.05351876324281319, 0.05445374631187367, 0.05584578403008153, 0.058117002838192419, 0.062373765747599397, 0.072446064213323821, 0.10998946882795982, 0.27954118304428294, 0.075976071300086545, 0.051689184253831781, 0.047996272319747263, 0.047221569130474435, 0.047118552267855267, 0.047202812940869927, 0.047337584622228986, 0.047478503236445625, 0.047610554249985212, 0.047729107126755238, 0.047833414603317324, 0.047924182644358299, 0.048002613283084888, 0.048070020278987623, 0.048127678202191271, 0.048176768689387105, 0.048218366755008728, 0.048253442671770168, 0.048282868971694287, 0.04830742832052929, 0.048327820772351003, 0.04834467009614335, 0.048358529323318106, 0.04836988578672663, 0.04837916589727833, 0.048386739827397461, 0.048392926186976951, 0.048397996707906045, 0.048402180904831747, 0.048405670652512396, 0.048408624610407874, 0.048411172428221454, 0.048413418677207283, 0.048415446467155725, 0.048417320725030438, 0.048419091126216132, 0.048420794682073234, 0.048422457997472308, 0.04842409921915402, 0.048425729700375522, 0.048427355409750565, 0.048428978112924889, 0.04843059635517831, 0.048432206271603759, 0.048433802249506233, 0.048435377465343481, 0.048436924316094226, 0.048438434762521909, 0.048439900599498951, 0.048441313666422459, 0.04844266600882137, 0.048443950000536418, 0.048445158434345215, 0.04844628458759842, 0.048447322268309861, 0.048448265846187062, 0.048449110272278807, 0.048449851090236494, 0.048450484441612839, 0.04845100706714401, 0.048451416305560858, 0.048451710091136704, 0.04845188695089582, 0.048451946002159782, 0.048451935197765882, 0.048451902767848033, 0.048451848662125485, 0.048451772796555416, 0.048451675052969372, 0.048451555278560696, 0.04845141328522036, 0.048451248848716572, 0.048451061707713135, 0.048450851562620557, 0.048450618074271964, 0.048450360862415991, 0.048450079504016523, 0.048449773531347551, 0.048449442429871981, 0.048449085635888338, 0.048448702533930882, 0.048448292453904258, 0.048447854667933506, 0.048447388386906286, 0.048446892756682979, 0.048446366853947528, 0.048445809681666785, 0.048445220164125821, 0.048444597141499818, 0.048443939363920885, 0.048443245484992195, 0.048442514054696739, 0.048441743511642654, 0.048440932174578608, 0.048440078233106872, 0.048439179737512154, 0.048438234587614301, 0.048437240520542608, 0.048436195097316517, 0.04843509568810353, 0.048433939456008893, 0.048432723339233305, 0.048431444031413633, 0.048430097959938724, 0.048428681262003517, 0.048427189758134176, 0.048425618922880768, 0.04842396385233206, 0.04842221922805915, 0.048420379277039509, 0.048418437727047924, 0.0484163877569272, 0.048414221941063845, 0.048411932187293179, 0.048409509667340277, 0.048406944738763835, 0.048404226857208639, 0.048401344477580009, 0.04839828494252902, 0.048395034356370492, 0.048391577442239958, 0.048387897379922037, 0.048383975621335944, 0.048379791680134114, 0.048375322891235618, 0.04837054413535774, 0.048365427522702918, 0.048359942028871145, 0.048354053074768595, 0.048347722040725814, 0.048340905703186755, 0.048333555580124962, 0.048325617168753603, 0.048317029056079749, 0.048307721879424705, 0.048297617110260503, 0.048286625630823941, 0.048274646069458721, 0.048261562858509681, 0.048247243979817098, 0.048231538371161967, 0.048214272989438298, 0.048195249576160289, 0.048174241273402002, 0.048150989441993294, 0.048125201433846514, 0.048096550856845326, 0.048064683434334191, 0.048029234729374239, 0.04798987259553826, 0.047946391406055992, 0.04789891698298112, 0.047848356546308604, 0.047797418121122232, 0.047753042472880605, 0.04773265201784517, 0.047781954875142842, 0.048033583032439965, 0.048945631900285579, 0.052649578517994802, 0.075840398469587539, 0.15652400534849675, 0.079213591811361658, 0.061850300587994643, 0.056514808069423439, 0.054149029547281756, 0.052864985400246152, 0.05207629435667023, 0.051550307649300992, 0.051178550508766518, 0.050904332710212961, 0.050695402914378129, 0.050532169407895115, 0.050402093119035721, 0.050296800311153529, 0.050210498218177205, 0.050139058863713677, 0.050079465469842439, 0.050029465244845389, 0.049987344539855247, 0.049951779180607024, 0.049921732439908002, 0.049896384044828192, 0.049875079906231093, 0.049857295998501736, 0.049842612103880905, 0.049830692570268169, 0.049821272153314333, 0.049814145620314852, 0.049809160202509008, 0.049806210265873785, 0.049805233773638068, 0.049806210265873757, 0.049809160202508987, 0.049814145620314859, 0.049821272153314326, 0.049830692570268162, 0.049842612103880836, 0.049857295998501756, 0.049875079906231114, 0.049896384044828226, 0.049921732439908072, 0.049951779180607031, 0.049987344539855219, 0.050029465244845341, 0.050079465469842439, 0.05013905886371367, 0.050210498218177191, 0.050296800311153474, 0.050402093119035554, 0.050532169407895261, 0.050695402914378303, 0.050904332710212892, 0.051178550508766581, 0.051550307649301283, 0.052076294356670251, 0.052864985400246332, 0.054149029547282547, 0.056514808069423231, 0.061850300587992485, 0.079213591811350362, 0.15652400534849237, 0.075840398469540382, 0.052649578517992943, 0.048945631900285148, 0.048033583032439722, 0.047781954875142738, 0.047732652017845149, 0.047753042472880571, 0.047797418121122259, 0.04784835654630859, 0.047898916982981134, 0.047946391406056013, 0.047989872595538233, 0.048029234729374252, 0.048064683434334197, 0.048096550856845305, 0.048125201433846507, 0.04815098944199328, 0.048174241273402023, 0.048195249576160261, 0.048214272989438284, 0.048231538371161974, 0.048247243979817042, 0.048261562858509667, 0.048274646069458714, 0.048286625630823914, 0.048297617110260496, 0.048307721879424732, 0.048317029056079749, 0.048325617168753561, 0.048333555580124921, 0.0483409057031867, 0.048347722040725814, 0.048354053074768588, 0.048359942028871186, 0.048365427522702925, 0.048370544135357775, 0.048375322891235625, 0.048379791680134128, 0.04838397562133593, 0.048387897379922044, 0.048391577442239951, 0.048395034356370464, 0.048398284942529048, 0.04840134447758003, 0.048404226857208667, 0.048406944738763828, 0.04840950966734027, 0.048411932187293179, 0.048414221941063811, 0.0484163877569272, 0.048418437727047937, 0.048420379277039502, 0.048422219228059137, 0.048423963852332053, 0.048425618922880796, 0.04842718975813419, 0.048428681262003538, 0.048430097959938724, 0.048431444031413612, 0.048432723339233305, 0.0484339394560089, 0.048435095688103537, 0.04843619509731649, 0.048437240520542615, 0.048438234587614315, 0.048439179737512175, 0.048440078233106851, 0.048440932174578587, 0.048441743511642626, 0.048442514054696739, 0.048443245484992195, 0.048443939363920899, 0.04844459714149979, 0.048445220164125807, 0.048445809681666771, 0.048446366853947508, 0.048446892756683006, 0.048447388386906258, 0.048447854667933533, 0.048448292453904307, 0.048448702533930875, 0.048449085635888345, 0.048449442429871994, 0.048449773531347606, 0.048450079504016502, 0.048450360862416011, 0.048450618074271964, 0.04845085156262055, 0.048451061707713156, 0.048451248848716558, 0.048451413285220353, 0.048451555278560689, 0.048451675052969365, 0.04845177279655543, 0.048451848662125513, 0.048451902767848054, 0.048451935197765895, 0.048451946002159726, 0.048451940600749484, 0.048451924397595762, 0.048451897395930366, 0.048451859601141609, 0.048451811020777572, 0.048451751664550569, 0.048451681544342436, 0.048451600674211726, 0.048451509070401702, 0.048451406751349534, 0.048451293737697035, 0.04845117005230222, 0.048451035720252382, 0.048450890768878097, 0.048450735227768521, 0.048450569128787764, 0.048450392506092552, 0.048450205396150588, 0.048450007837760559, 0.048449799872072485, 0.048449581542609747, 0.048449352895291627, 0.048449113978456845, 0.048448864842888073, 0.04844860554183715, 0.048448336131051185, 0.048448056668798992, 0.048447767215898684, 0.048447467835745217, 0.048447158594338659, 0.048446839560312774, 0.048446510804963622, 0.048446172402278463, 0.048445824428964293, 0.048445466964476464, 0.048445100091046585, 0.048444723893710177, 0.0484443384603329, 0.048443943881636455, 0.048443540251222689, 0.048443127665596053, 0.048442706224184541, 0.048442276029357856, 0.04844183718644323, 0.048441389803737918, 0.048440933992518358, 0.048440469867045116, 0.048439997544563088, 0.048439517145296596, 0.04843902879243827, 0.048438532612131539, 0.048438028733445188, 0.048437517288339754, 0.048436998411624015, 0.048436472240901397, 0.048435938916504107, 0.048435398581414407, 0.048434851381170978, 0.048434297463759261, 0.048433736979483694, 0.048433170080819953, 0.048432596922245087, 0.048432017660043063, 0.048431432452083471, 0.048430841457570074, 0.04843024483675655, 0.04842964275062539, 0.048429035360527166, 0.048428422827774799, 0.048427805313189382, 0.048427182976591876, 0.048426555976235415, 0.04842592446817226, 0.04842528860554899, 0.048424648537821982, 0.048424004409886028, 0.048423356361106999, 0.04842270452424878, 0.048422049024284319, 0.04842138997707901, 0.048420727487933954, 0.048420061649975109, 0.048419392542372638, 0.048418720228375151, 0.048418044753138725, 0.048417366141332463, 0.048416684394497332, 0.048415999488135436, 0.048415311368502502, 0.048414619949076372, 0.048413925106668775, 0.048413226677147557, 0.048412524450732158, 0.048411818166821365, 0.048411107508310944, 0.048410392095351903, 0.048409671478500255, 0.048408945131200767, 0.048408212441546243, 0.048407472703247752, 0.048406725105746284, 0.04840596872339363, 0.048405202503622645, 0.048404425254025496, 0.048403635628251646, 0.048402832110634834, 0.048402012999454694, 0.048401176388735201, 0.04840032014848146, 0.048399441903256256, 0.048398539008999639, 0.048397608527998473, 0.048396647201921911, 0.048395651422848254, 0.048394617202226785, 0.048393540137737577, 0.048392415378043424, 0.048391237585463598, 0.048390000896646183, 0.048388698881374648, 0.048387324499714411, 0.048385870057792615, 0.048384327162606648, 0.048382686676378656, 0.04838093867111487, 0.048379072384191014, 0.048377076175968141, 0.048374937490647738, 0.048367526593983211, 0.048358287680426819, 0.048346722702859647, 0.048332263764709761, 0.048314299409657556, 0.048292219803283354, 0.048265475970733711, 0.048233636477536541, 0.048196414965237744, 0.048153647225459395, 0.048105227661140587, 0.048051057798495535, 0.047991067922679334, 0.047925313720010264, 0.047854065144719786, 0.047777786801972207, 0.047696986299985131, 0.047612002886511948, 0.047522840134593784, 0.047429113295907425, 0.047330143296463609, 0.047225240163108598, 0.047114320657102686, 0.046999289040339738, 0.046887387772106784, 0.046800107531063236, 0.046799647118545611, 0.047080329232288595, 0.048364183554598782, 0.054371203174797086, 0.10168419029981771, 0.23626133319906392, 0.091224579129133329, 0.067549262289507167, 0.060164352399971983, 0.056826416475411277, 0.054991934661233276, 0.053857752219754293, 0.053100216713500549, 0.052566404338954362, 0.052175468191304655, 0.051880928076059048, 0.051654258449798145, 0.051477006104440989, 0.051336699655033895, 0.051224590013350078, 0.051134336624625729, 0.051061210381380978, 0.051001592509945827, 0.050952650033207557, 0.050912120335700195, 0.050878165203957375, 0.050849270251194324, 0.050824174611237768, 0.050801821139024532, 0.050781320642970126, 0.050761925754225945, 0.050743011393303269, 0.050724059705971533, 0.050704647972938256, 0.050684438450162857, 0.050663169428039327, 0.05064064704399969, 0.050616737566410254, 0.050591360002037726, 0.050564478974454957, 0.050536097883851321, 0.050506252395920381, 0.050475004324353402, 0.050442435973056782, 0.050408644995181842, 0.050373739810490016, 0.05033783560388129, 0.050301050908774091, 0.050263504761364833, 0.050225314396864784, 0.050186593447246165, 0.050147450592009354, 0.050107988608822089, 0.0500683037691785, 0.050028485524956444, 0.049988616434344782, 0.049948772279519563, 0.049909022333182271, 0.049869429736214908, 0.049830051953933953, 0.049790941283484755, 0.049752145389649338, 0.049713707850626919, 0.049675668699140425, 0.049638064947502905, 0.049600931088056466, 0.049564299562711508, 0.049528201197198959, 0.04949266559716143, 0.049457721504398242, 0.049423397112493418, 0.0493897203417481, 0.04935671907384772, 0.04932442134706061, 0.049292855513024196, 0.049262050356355183, 0.049232035178444447, 0.049202839846890091, 0.049174494812098082, 0.049147031092647363, 0.049120480231095956, 0.049094874221991748, 0.049070245413957554, 0.049046626387843822, 0.049024049813087528, 0.049002548284570492, 0.048982154142443904, 0.048962899277561228, 0.048944814925337893, 0.04892793145102281, 0.048912278129518393, 0.048897882923007001, 0.048884772259736607, 0.048872970817358669, 0.048862501314212582, 0.048853384311889389, 0.048845638032286212, 0.04883927819218329, 0.048834317858123158, 0.048830767324071628, 0.048828634013970959, 0.048827922410883261, 0.048828396828355894, 0.048829819265473778, 0.048832187279766376, 0.048835496811825051, 0.04883974220218093, 0.048844916214561891, 0.048851010065164131, 0.048858013457472538, 0.048865914622072827, 0.04887470036080957, 0.04888435609456275, 0.048894865913840041, 0.048906212631314935, 0.04891837783537939, 0.048931341943728356, 0.048945084255944772, 0.048959583004021402, 0.048974815399719263, 0.048990757677644041, 0.049007385132904327, 0.049024672152206156, 0.049042592237239536, 0.049061118019216025, 0.049080221263434934, 0.049099872862777748, 0.049120042819066206, 0.049140700211268332, 0.04916181314960117, 0.049183348714660423, 0.049205272880815581, 0.049227550423242943, 0.049250144808139142, 0.049273018065871865, 0.049296130647082451, 0.049319441262082868, 0.049342906704278669, 0.049366481658823361, 0.049390118498276014, 0.049413767067701904, 0.04943737446243622, 0.049460884802632915, 0.049484239009745107, 0.049507374591231952, 0.049530225441048598, 0.049552721664834001, 0.049574789440134867, 0.04959635092344393, 0.049617324217227643, 0.049637623411381601, 0.049657158714575787, 0.049675836691608258, 0.049693560623015255, 0.04971023100263073, 0.049725746187358165, 0.049740003210949867, 0.049752898769920589, 0.049764330384745724, 0.049774197733159158, 0.049782404144718878, 0.0497888582370161, 0.049793475664267173, 0.049796180939005938, 0.049796909277797667, 0.049795608413052236, 0.049792240305953799, 0.049786782691081222, 0.049779230382248692, 0.049769596272058479, 0.049757911964984448, 0.049744227995504493, 0.049728613598487632, 0.049711156017916577, 0.049691959360933485, 0.049671143025689, 0.049648839751975669, 0.049625193361584351, 0.049600356269373314, 0.049574486855166654, 0.049547746790237428, 0.049520298410210356, 0.049492302219161524, 0.049463914598329134, 0.049435285778314846, 0.049406558117236599, 0.049377864710294019, 0.049349328339817734, 0.049321060760069833, 0.04929316229855598, 0.049265721745821014, 0.049238816498777538, 0.049212512918474616, 0.049186866861583106, 0.049161924345372011, 0.049137722308127761, 0.049114289430365624, 0.04909164698636536, 0.049069809700151581, 0.04904878658471154, 0.049028581747764581, 0.049009195151583952, 0.048990623318116898, 0.048972859973893189, 0.048955896631933712, 0.048939723110089005, 0.048924327986982381, 0.0489096989980548, 0.048895823375164502, 0.048882688133836276, 0.048870280312645183, 0.048858587169400128, 0.048847596338817717, 0.0488372959562779, 0.048827674752069138, 0.048818722120286519, 0.048810428166262458, 0.048802783736107559, 0.048795780431625142, 0.048789410613553325, 0.048783667395786212, 0.048778544632934365, 0.048774036903309614, 0.048770139489161375, 0.048766848355746392, 0.048764160130589956, 0.048762072084081988, 0.048760582112353186, 0.048759688723189441, 0.048759391025562974], [0.047922698776162183, 0.047923329519625926, 0.047925221371390755, 0.04792837320747706, 0.047932783194238771, 0.047938448847806001, 0.04794536711723843, 0.047953534491353103, 0.047962947129211723, 0.04797360101430815, 0.047985492132588251, 0.047998616674561581, 0.048012971261947153, 0.048028553199536979, 0.048045360753267027, 0.048063393455873737, 0.048082652441998275, 0.048103140815193825, 0.048124864050013649, 0.048147830433244582, 0.04817205154942087, 0.048197542817063739, 0.048224324083680818, 0.048252420289515471, 0.048281862212428521, 0.048312687309257196, 0.04834494067267589, 0.048378676127179991, 0.048413957493604366, 0.048450860058922733, 0.048489472297433854, 0.048529897901486874, 0.048572258195497833, 0.048616695027403178, 0.048663374258562361, 0.048712490008842382, 0.048764269861543197, 0.048818981297777342, 0.048876939718866676, 0.0489385185384957, 0.049004161999002926, 0.04907440161128436, 0.049149877470599734, 0.049231366216164515, 0.049319818168277102, 0.049416407334832678, 0.049522599764829756, 0.049640248539844278, 0.04977172823331346, 0.049920129185929613, 0.050089544772372749, 0.050285507456688597, 0.050515670861087471, 0.050790914275761712, 0.051127205184108619, 0.051548894318583741, 0.052094891217898502, 0.052831086774367896, 0.053877664349868952, 0.05547647431431952, 0.058185255270873565, 0.063577797471999459, 0.07782695801555102, 0.14455457775493449, 0.19881818281700842, 0.061927603887559496, 0.049111615265728652, 0.046802536476457532, 0.04631071363581258, 0.046277258774253663, 0.046376061475096035, 0.046509243840407277, 0.046643924129374556, 0.046768827354712501, 0.046880564565342696, 0.046978757262136663, 0.047064165623716826, 0.047137936551529792, 0.047201297426014199, 0.047255434746947933, 0.047301450731673536, 0.04734035229353635, 0.047373052617854614, 0.047400376836555042, 0.047423068356886526, 0.047441794665074186, 0.047457152401680282, 0.047469671874625065, 0.047479821262597151, 0.047488010725675565, 0.047494596561710699, 0.047499885466145364, 0.047504138887494975, 0.047507577426603942, 0.04751038520447818, 0.047512714117223694, 0.047514687902542325, 0.047516405955618769, 0.047517946849108546, 0.047519371529349486, 0.047520726176908515, 0.047522044733044083, 0.0475233511041665, 0.04752466106392398, 0.047525983877419048, 0.047527323674692201, 0.047528680601477108, 0.047530051774777163, 0.04753143206944737, 0.047532814760014017, 0.047534192039693654, 0.047535555436175284, 0.047536896141348962, 0.047538205269892428, 0.047539474059522864, 0.047540694023815111, 0.047541857066794077, 0.04754295556702072, 0.047543982437604958, 0.047544931167472423, 0.047545795848271996, 0.047546571190515204, 0.047547252531870726, 0.04754783583997596, 0.047548317711659557, 0.047548695370077596, 0.047548966660936172, 0.047549130048696445, 0.047549184613418956, 0.047549174510710099, 0.047549144186917677, 0.047549093594975785, 0.047549022656212504, 0.047548931260005853, 0.047548819263298604, 0.047548686489969606, 0.047548532730057338, 0.047548357738830802, 0.047548161235702144, 0.047547942902973844, 0.04754770238441218, 0.047547439283638762, 0.047547153162327709, 0.047546843538198956, 0.047546509882792076, 0.047546151619007146, 0.047545768118394678, 0.047545358698176901, 0.047544922617978373, 0.047544459076243072, 0.047543967206312439, 0.047543446072134357, 0.047542894663571908, 0.047542311891275633, 0.047541696581079616, 0.047541047467877282, 0.04754036318892689, 0.047539642276532956, 0.04753888315004097, 0.047538084107077827, 0.047537243313961343, 0.047536358795192926, 0.047535428421938239, 0.047534449899387952, 0.047533420752878509, 0.047532338312637312, 0.047531199697000051, 0.047530001793928134, 0.047528741240633159, 0.047527414401088743, 0.047526017341182197, 0.047524545801224692, 0.047522995165501118, 0.047521360428495973, 0.047519636157381931, 0.047517816450298053, 0.047515894889877779, 0.047513864491406432, 0.047511717644897651, 0.047509446050270167, 0.047507040644680754, 0.04750449152092371, 0.047501787835633455, 0.047498917705826135, 0.04749586809207524, 0.047492624666336095, 0.047489171662098116, 0.04748549170414914, 0.047481565614763764, 0.047477372192568382, 0.047472887959666851, 0.047468086871813545, 0.047462939985470763, 0.047457415074452454, 0.047451476187504837, 0.047445083136572183, 0.047438190903598181, 0.047430748951496141, 0.047422700422352429, 0.047413981203027686, 0.047404518835152981, 0.047394231243285193, 0.047383025252109752, 0.04737079486190663, 0.047357419252655963, 0.047342760494199158, 0.047326660958473057, 0.047308940470586341, 0.047289393318265247, 0.047267785401654772, 0.047243852120334183, 0.047217298204855263, 0.047187801895123546, 0.047155028248269365, 0.047118661217124151, 0.047078474373947146, 0.047034482568423422, 0.046987268307540936, 0.046938702071786714, 0.046893603900177973, 0.046863831545682126, 0.046879280191226322, 0.047021380220700508, 0.047544757111008994, 0.049452876850602873, 0.058674833336495369, 0.13115682582336807, 0.10412200293564414, 0.066498396070795149, 0.057605977241533463, 0.054205374738764994, 0.052508743961254926, 0.051520685072531082, 0.050885257811842291, 0.050447753653894083, 0.050131306251302042, 0.049893823066501773, 0.049710485644381512, 0.049565785959142815, 0.049449569560714321, 0.049354926637228437, 0.049277001639204461, 0.049212288537977156, 0.049158196448419803, 0.049112772536139118, 0.049074519961178918, 0.049042275177800111, 0.049015123404023378, 0.048992339284764264, 0.04897334458029276, 0.048957677612428238, 0.048944970998953889, 0.048934935349786504, 0.048927347342978308, 0.048922041095833195, 0.048918902087752729, 0.048917863133783865, 0.048918902087752701, 0.048922041095833174, 0.048927347342978322, 0.048934935349786525, 0.048944970998953855, 0.048957677612428169, 0.048973344580292788, 0.048992339284764277, 0.049015123404023413, 0.049042275177800208, 0.049074519961178939, 0.04911277253613909, 0.049158196448419782, 0.049212288537977177, 0.04927700163920444, 0.049354926637228409, 0.049449569560714245, 0.049565785959142655, 0.049710485644381686, 0.049893823066501974, 0.050131306251301959, 0.050447753653894166, 0.050885257811842631, 0.051520685072531151, 0.052508743961255183, 0.054205374738766056, 0.057605977241533025, 0.066498396070791138, 0.1041220029356212, 0.13115682582338486, 0.058674833336478986, 0.049452876850602089, 0.047544757111008737, 0.047021380220700362, 0.046879280191226266, 0.046863831545682091, 0.046893603900177938, 0.046938702071786756, 0.046987268307540943, 0.047034482568423422, 0.047078474373947146, 0.04711866121712413, 0.0471550282482694, 0.047187801895123567, 0.047217298204855235, 0.047243852120334169, 0.047267785401654772, 0.04728939331826526, 0.047308940470586321, 0.047326660958473064, 0.047342760494199179, 0.047357419252655922, 0.047370794861906595, 0.047383025252109745, 0.047394231243285186, 0.047404518835152967, 0.0474139812030277, 0.047422700422352429, 0.047430748951496113, 0.04743819090359816, 0.047445083136572141, 0.047451476187504824, 0.047457415074452447, 0.047462939985470805, 0.047468086871813545, 0.047472887959666872, 0.047477372192568389, 0.047481565614763764, 0.047485491704149126, 0.047489171662098144, 0.047492624666336081, 0.047495868092075219, 0.047498917705826128, 0.047501787835633469, 0.047504491520923744, 0.047507040644680767, 0.047509446050270146, 0.047511717644897672, 0.047513864491406405, 0.047515894889877786, 0.047517816450298088, 0.047519636157381917, 0.04752136042849596, 0.047522995165501104, 0.047524545801224699, 0.047526017341182197, 0.047527414401088756, 0.047528741240633138, 0.047530001793928106, 0.047531199697000058, 0.047532338312637326, 0.047533420752878523, 0.047534449899387939, 0.047535428421938246, 0.047536358795192947, 0.047537243313961364, 0.047538084107077813, 0.04753888315004097, 0.047539642276532942, 0.047540363188926883, 0.047541047467877282, 0.04754169658107963, 0.047542311891275599, 0.047542894663571894, 0.047543446072134343, 0.047543967206312425, 0.047544459076243092, 0.047544922617978345, 0.047545358698176922, 0.047545768118394713, 0.047546151619007139, 0.047546509882792076, 0.047546843538198963, 0.047547153162327736, 0.047547439283638748, 0.047547702384412208, 0.04754794290297383, 0.047548161235702144, 0.047548357738830808, 0.047548532730057338, 0.047548686489969606, 0.047548819263298583, 0.047548931260005832, 0.047549022656212511, 0.047549093594975805, 0.047549144186917705, 0.047549174510710113, 0.047549184613418914, 0.047549179562812904, 0.047549164412147356, 0.047549139164880565, 0.047549103826778447, 0.047549058405917992, 0.047549002912692005, 0.047548937359814823, 0.047548861762329767, 0.047548776137617807, 0.047548680505407337, 0.04754857488778548, 0.047548459309210436, 0.047548333796525476, 0.047548198378973644, 0.047548053088214248, 0.047547897958340107, 0.047547733025896446, 0.047547558329900465, 0.047547373911862548, 0.047547179815808013, 0.047546976088300566, 0.047546762778466353, 0.047546539938019002, 0.047546307621285797, 0.047546065885234745, 0.047545814789502198, 0.04754555439642133, 0.04754528477105157, 0.047545005981208067, 0.047544718097492042, 0.047544421193321425, 0.047544115344961682, 0.047543800631556728, 0.047543477135159835, 0.047543144940764531, 0.047542804136334729, 0.047542454812834797, 0.047542097064258187, 0.04754173098765567, 0.047541356683161937, 0.047540974254020485, 0.047540583806606959, 0.047540185450449725, 0.047539779298248278, 0.047539365465887967, 0.047538944072451635, 0.047538515240226786, 0.047538079094708273, 0.047537635764595382, 0.04753718538178299, 0.047536728081346111, 0.047536264001516323, 0.047535793283649999, 0.047535316072186529, 0.047534832514596191, 0.047534342761315573, 0.047533846965670153, 0.047533345283781371, 0.047532837874457806, 0.047532324899067752, 0.047531806521391606, 0.047531282907451712, 0.047530754225317537, 0.047530220644883305, 0.0475296823376153, 0.047529139476265907, 0.047528592234550311, 0.04752804078678316, 0.047527485307469593, 0.047526925970847504, 0.047526362950375003, 0.047525796418158003, 0.047525226544311856, 0.047524653496250652, 0.047524077437896439, 0.047523498528800653, 0.047522916923169581, 0.047522332768783176, 0.047521746205797979, 0.047521157365421729, 0.047520566368447925, 0.047519973323635951, 0.047519378325921874, 0.047518781454444173, 0.047518182770365118, 0.047517582314469439, 0.047516980104517915, 0.04751637613233322, 0.047515770360591347, 0.04751516271929241, 0.047514553101878763, 0.047513941360968689, 0.047513327303669389, 0.047512710686430183, 0.047512091209394591, 0.047511468510204331, 0.047510842157208091, 0.047510211642020496, 0.047509576371374845, 0.047508935658209593, 0.047508288711922225, 0.047507634627722853, 0.047506972375012911, 0.047506300784713476, 0.047505618535461126, 0.047504924138588207, 0.047504215921801561, 0.047503492011470742, 0.047502750313437675, 0.047501988492260637, 0.047501203948807531, 0.047500393796119214, 0.047499554833472582, 0.047498683518583988, 0.047497775937911754, 0.047496827775036311, 0.047495834277127287, 0.047494790219540603, 0.047493689868635204, 0.04749252694295223, 0.047491294572967385, 0.047489985259705887, 0.047488590832603296, 0.047487102407105693, 0.047485510342627504, 0.047483804201629828, 0.047481972710739936, 0.047480003725009531, 0.047473136660962076, 0.047464506040414994, 0.047453633166425223, 0.047439972565294475, 0.047422935138535474, 0.047401927757788127, 0.047376405655540597, 0.047345925162002658, 0.047310177171324429, 0.047268985237530182, 0.047222272584051969, 0.047170029392972462, 0.047112316890182325, 0.047049309179538368, 0.046981323767935276, 0.046908781629740416, 0.046832084385867466, 0.046751455533626939, 0.046666814368332137, 0.046577732602784548, 0.046483500197553318, 0.046383335963041047, 0.046276852401268477, 0.046165089663937869, 0.046052985433530522, 0.045955784448511151, 0.045917417480882981, 0.046070836986336273, 0.046879447639270856, 0.050458813553656584, 0.073222751835560707, 0.28574371633159301, 0.10905248592906856, 0.070637579380341362, 0.060725545048551086, 0.056628911113133798, 0.054487127894199204, 0.053203837161679896, 0.052364767193207255, 0.051782462449198929, 0.051360857204645824, 0.051046005636391743, 0.050805405416160292, 0.050618341421318491, 0.05047098469933417, 0.050353733658280816, 0.05025969107783862, 0.050183751601605965, 0.050122034135852742, 0.050071517588828419, 0.050029800962553481, 0.049994941923280231, 0.049965346236679233, 0.049939690894764674, 0.049916869930382461, 0.049895955673060703, 0.049876170558937873, 0.049856866134161459, 0.049837506911122813, 0.049817657440702948, 0.049796971464312743, 0.049775182374483327, 0.049752094482787126, 0.049727574793867101, 0.049701545130157385, 0.049673974554300726, 0.04964487210351165, 0.0496142798890747, 0.049582266631003347, 0.04954892169829881, 0.049514349714400774, 0.049478665769807063, 0.049441991263183042, 0.04940445037146958, 0.049366167130578398, 0.049327263092515047, 0.049287855512816545, 0.049248056014149742, 0.049207969667526878, 0.049167694431371714, 0.049127320890008153, 0.049086932236406283, 0.049046604448604356, 0.049006406614601893, 0.048966401366243542, 0.048926645388349795, 0.048887189974837333, 0.048848081608652116, 0.048809362546897904, 0.048771071396544186, 0.048733243669528997, 0.048695912308952032, 0.04865910818043391, 0.048622860524634923, 0.048587197368452122, 0.048552145893595633, 0.048517732762142128, 0.04848398439933059, 0.048450927234344313, 0.048418587900157267, 0.048386993393750764, 0.048356171198153282, 0.048326149367852789, 0.048296956579194028, 0.048268622147425, 0.048241176012100893, 0.048214648692614596, 0.048189071215691444, 0.048164475016777841, 0.048140891817364487, 0.048118353480419825, 0.048096891846255957, 0.048076538551315745, 0.048057324832541305, 0.048039281320155849, 0.048022437821855703, 0.048006823101559563, 0.047992464655982267, 0.047979388492395574, 0.047967618910978498, 0.047957178295162425, 0.047948086913313384, 0.047940362734974706, 0.04793402126471235, 0.047929075396353729, 0.047925535290108914, 0.047923408274694039, 0.047922698776162183, 0.047923171790265034, 0.047924590025933009, 0.04792695106668482, 0.047930250896462752, 0.047934483916562465, 0.047939642968960569, 0.04794571936567267, 0.047952702923673415, 0.047960582004817454, 0.047969343560111621, 0.047978973177605251, 0.047989455133090567, 0.048000772442736594, 0.048012906916718091, 0.048025839212848614, 0.048039548889177414, 0.048054014454476178, 0.048069213415504387, 0.048085122319921764, 0.048101716793697499, 0.048118971571854838, 0.048136860521388741, 0.048155356655195165, 0.048174432135867196, 0.048194058268231782, 0.048214205479533701, 0.04823484328621961, 0.048255940246335144, 0.048277463896626134, 0.048299380673540671, 0.048321655817457454, 0.04834425325963515, 0.048367135491587034, 0.048390263416844013, 0.048413596185394689, 0.048437091011484232, 0.048460702975930532, 0.048484384814691639, 0.048508086696096527, 0.048531755989949972, 0.048555337032645231, 0.048578770893473192, 0.048601995148500825, 0.048624943669699855, 0.048647546438418413, 0.048669729393774494, 0.048691414328062045, 0.048712518842734392, 0.048732956379875229, 0.048752636345174113, 0.048771464339155732, 0.048789342513608898, 0.04880617006964804, 0.048821843912426749, 0.048836259475024991, 0.048849311720285359, 0.048860896324254187, 0.048870911038336573, 0.04887925721934426, 0.048885841507469004, 0.048890577622166552, 0.048893388235466864, 0.048894206871969506, 0.048892979775514725, 0.048889667675104366, 0.048884247377970362, 0.048876713116573496, 0.048867077579402306, 0.048855372563109595, 0.048841649195773169, 0.048825977697490357, 0.048808446664256558, 0.048789161882915599, 0.048768244707369693, 0.048745830047540524, 0.048722064041150683, 0.048697101492822616, 0.048671103174226349, 0.048644233082475792, 0.04861665575163774, 0.048588533704549693, 0.048560025120044994, 0.04853128177536218, 0.048502447306334615, 0.048473655810276683, 0.048445030799540087, 0.048416684498511664, 0.048388717464078246, 0.048361218499707162, 0.048334264826409831, 0.048307922469857628, 0.048282246821500563, 0.048257283332291984, 0.048233068300068245, 0.048209629715289519, 0.048186988134269894, 0.048165157553819102, 0.048144146266058639, 0.048123957676828297, 0.048104591075379115, 0.048086042346857309, 0.048068304622362605, 0.048051368864099796, 0.048035224385357275, 0.048019859306775145, 0.048005260951665844, 0.04799141618407695, 0.047978311693899177, 0.047965934233680535, 0.047954270811962067, 0.047943308847946217, 0.047933036292188626, 0.047923441717797388, 0.047914514386363523, 0.047906244292546085, 0.047898622190921281, 0.047891639608381463, 0.047885288845051679, 0.047879562966382926, 0.047874455788785963, 0.047869961860890479, 0.04786607644225422, 0.047862795481100777, 0.047860115592438912, 0.047858034037702744, 0.047856548706852443, 0.047855658103690676, 0.047855361334968941], [0.047070813819124653, 0.047071443553212702, 0.047073332390618158, 0.047076479248837615, 0.047080882363932236, 0.047086539350848479, 0.047093447287817357, 0.047101602824812606, 0.047111002316076969, 0.047121641976787629, 0.047133518064032418, 0.047146627082406724, 0.047160966014735094, 0.047176532578678945, 0.047193325510316034, 0.047211344876187604, 0.047230592415820782, 0.047251071917359742, 0.047272789629702619, 0.047295754715478477, 0.047319979750330317, 0.047345481275359105, 0.047372280411269028, 0.047400403544831861, 0.04742988310083604, 0.047460758415844413, 0.047493076734017231, 0.047526894350179122, 0.047562277931522005, 0.047599306057224094, 0.047638071025355264, 0.047678680989454471, 0.047721262504064249, 0.047765963580656656, 0.047812957384644812, 0.047862446743191081, 0.04791466968603357, 0.047969906312954794, 0.048028487379639696, 0.048090805130063023, 0.048157327095487971, 0.048228613853839801, 0.048305342139056094, 0.048388335271445627, 0.048478603748584058, 0.048577400157595943, 0.048686294620781757, 0.048807280241879331, 0.048942923315209115, 0.049096581910986072, 0.049272731705209148, 0.049477465138582997, 0.049719280486749055, 0.050010375433566512, 0.050368860155521146, 0.0508227406639742, 0.051417542405021562, 0.052232049992719236, 0.053414081420221207, 0.05527272238574174, 0.058561134571038002, 0.065595605215566996, 0.086953949986203843, 0.21346857502525418, 0.11745398131014306, 0.054559675979200598, 0.047267444528247951, 0.045784454084025525, 0.045478340308224889, 0.045491532801982155, 0.045598869130015811, 0.045729110912351587, 0.045857597562191627, 0.045975799541796938, 0.046081244148893086, 0.04617381515767021, 0.046254296603487274, 0.046323776816082303, 0.046383402369181266, 0.046434279617283303, 0.04647743921101561, 0.04651382695081159, 0.04654430489235329, 0.046569655755414524, 0.046590587835285385, 0.046607739490719682, 0.046621683089116663, 0.046632928586860842, 0.046641926980682077, 0.046649073820349274, 0.046654712893522986, 0.04665914011504594, 0.046662607591090768, 0.04666532778832435, 0.046667477718533724, 0.046669203046045278, 0.046670622033831537, 0.046671829259716302, 0.046672899052634914, 0.046673888617591475, 0.046674840834888674, 0.04667578673336039, 0.046676747648326723, 0.046677737082876931, 0.046678762296199147, 0.04667982564546902, 0.046680925708789317, 0.046682058216296278, 0.046683216815241409, 0.046684393692948807, 0.046685580079313171, 0.046686766648136591, 0.046687943834247826, 0.046689102081101226, 0.046690232031469374, 0.046691324671959751, 0.04669237144041033, 0.046693364303749457, 0.046694295812634373, 0.046695159138092711, 0.046695948094463542, 0.046696657152151509, 0.046697281443050978, 0.046697816760945088, 0.046698259558726411, 0.046698606943901648, 0.046698856673521472, 0.046699007149405551, 0.046699057414300367, 0.046699047984645567, 0.046699019681034147, 0.04669897245946026, 0.046698906246364247, 0.04669882093830667, 0.046698716401508834, 0.046698592471257371, 0.046698448951168793, 0.046698285612309716, 0.046698102192166996, 0.0466978983934613, 0.046697673882796532, 0.04669742828913654, 0.046697161202098346, 0.046696872170052403, 0.04669656069801513, 0.046696226245321111, 0.046695868223058316, 0.04669548599124896, 0.046695078855756106, 0.046694646064893597, 0.046694186805716138, 0.046693700199960719, 0.046693185299610231, 0.046692641082045273, 0.046692066444746827, 0.046691460199508122, 0.04669082106610941, 0.046690147665404254, 0.04668943851175951, 0.046688692004785239, 0.046687906420282713, 0.046687079900330601, 0.046686210442419766, 0.046685295887536324, 0.046684333907080711, 0.046683321988496354, 0.046682257419465897, 0.046681137270515052, 0.046679958375844363, 0.046678717312184828, 0.046677410375447537, 0.046676033554906765, 0.046674582504620761, 0.046673052511754527, 0.046671438461422216, 0.0466697347976128, 0.046667935479701869, 0.04666603393397864, 0.046664022999535516, 0.046661894867769275, 0.046659641014629549, 0.046657252124618055, 0.046654718005386175, 0.046652027491597206, 0.046649168336503136, 0.046646127089435656, 0.046642888957110169, 0.04663943764629002, 0.046635755184938996, 0.046631821718494088, 0.046627615277300222, 0.046623111510547238, 0.046618283381216187, 0.046613100815550784, 0.046607530299393969, 0.046601534412342022, 0.046595071289032529, 0.046588093994981976, 0.046580549802199112, 0.046572379347346267, 0.046563515652562476, 0.046553882986378969, 0.046543395539816075, 0.046531955891465304, 0.04651945323649511, 0.046505761360580544, 0.046490736355368947, 0.046474214105763467, 0.046456007646782753, 0.046435904618549267, 0.046413665298195093, 0.046389022166006842, 0.046361682886094227, 0.046331340390514231, 0.046297697380747793, 0.046260520040354677, 0.046219751755200635, 0.046175753417313503, 0.046129821287306257, 0.046085345891047763, 0.046050555157376452, 0.046045533519582557, 0.046122205946803919, 0.046430371028452398, 0.047488727214781735, 0.051745376213602381, 0.078982538885268322, 0.15525989499031409, 0.07651249087517889, 0.05989753064955744, 0.054700186803974135, 0.052374131378193453, 0.051105496959348226, 0.050324204887512651, 0.049802409763073797, 0.049433365301686218, 0.04916110064088304, 0.048953699259789221, 0.04879174005170632, 0.048662777873954441, 0.04855849448720307, 0.048473132272275336, 0.048402587196767995, 0.048343860141681724, 0.048294712489409537, 0.04825344296959528, 0.048218739074504961, 0.048189575775848245, 0.048165145084206357, 0.048144806224450734, 0.048128049908579662, 0.048114472457248876, 0.048103756947775675, 0.048095659485744402, 0.048089999305155763, 0.048086651815323803, 0.048085544003408399, 0.048086651815323768, 0.048089999305155756, 0.048095659485744416, 0.048103756947775682, 0.048114472457248862, 0.048128049908579586, 0.048144806224450769, 0.048165145084206384, 0.048189575775848273, 0.048218739074505051, 0.048253442969595293, 0.04829471248940951, 0.048343860141681662, 0.048402587196767995, 0.048473132272275316, 0.048558494487203063, 0.048662777873954344, 0.048791740051706133, 0.048953699259789409, 0.049161100640883248, 0.049433365301686162, 0.049802409763073888, 0.050324204887513074, 0.051105496959348289, 0.052374131378193828, 0.054700186803975571, 0.059897530649557149, 0.076512490875170924, 0.15525989499029108, 0.078982538885274234, 0.051745376213595588, 0.047488727214781326, 0.046430371028452246, 0.04612220594680385, 0.046045533519582522, 0.046050555157376417, 0.046085345891047735, 0.046129821287306312, 0.046175753417313517, 0.046219751755200641, 0.046260520040354677, 0.046297697380747772, 0.046331340390514265, 0.046361682886094269, 0.046389022166006835, 0.04641366529819508, 0.046435904618549254, 0.046456007646782774, 0.046474214105763453, 0.046490736355368947, 0.046505761360580558, 0.046519453236495069, 0.04653195589146527, 0.046543395539816082, 0.046553882986378942, 0.046563515652562462, 0.046572379347346267, 0.046580549802199091, 0.046588093994981934, 0.046595071289032501, 0.04660153441234198, 0.046607530299393969, 0.04661310081555077, 0.046618283381216208, 0.046623111510547231, 0.046627615277300229, 0.046631821718494094, 0.046635755184938989, 0.046639437646290006, 0.04664288895711019, 0.046646127089435635, 0.046649168336503115, 0.046652027491597199, 0.04665471800538621, 0.046657252124618069, 0.046659641014629563, 0.046661894867769275, 0.046664022999535516, 0.046666033933978619, 0.046667935479701869, 0.046669734797612841, 0.046671438461422195, 0.04667305251175452, 0.046674582504620747, 0.046676033554906772, 0.046677410375447551, 0.046678717312184828, 0.046679958375844349, 0.046681137270515025, 0.04668225741946589, 0.046683321988496368, 0.046684333907080711, 0.046685295887536296, 0.046686210442419759, 0.046687079900330622, 0.046687906420282733, 0.046688692004785211, 0.046689438511759496, 0.046690147665404219, 0.046690821066109403, 0.046691460199508129, 0.046692066444746827, 0.046692641082045246, 0.046693185299610217, 0.046693700199960698, 0.046694186805716131, 0.046694646064893618, 0.046695078855756085, 0.046695485991248988, 0.046695868223058351, 0.046696226245321111, 0.046696560698015123, 0.046696872170052424, 0.046697161202098388, 0.046697428289136513, 0.046697673882796553, 0.046697898393461293, 0.046698102192166982, 0.046698285612309716, 0.046698448951168786, 0.046698592471257364, 0.046698716401508834, 0.046698820938306657, 0.046698906246364247, 0.046698972459460274, 0.046699019681034147, 0.046699047984645574, 0.046699057414300325, 0.046699052700185054, 0.046699038559065612, 0.046699014994621743, 0.046698982012988798, 0.046698939622761046, 0.046698887834996879, 0.046698826663224773, 0.046698756123451174, 0.046698676234169567, 0.04669858701637087, 0.046698488493555262, 0.046698380691745305, 0.046698263639500623, 0.046698137367933421, 0.046698001910725886, 0.046697857304148396, 0.046697703587079469, 0.046697540801026324, 0.046697368990147342, 0.04669718820127499, 0.04669699848394062, 0.04669679989039973, 0.046696592475658598, 0.04669637629750182, 0.046696151416520858, 0.046695917896143344, 0.046695675802663129, 0.046695425205271444, 0.046695166176088036, 0.04669489879019334, 0.046694623125660945, 0.04669433926359022, 0.046694047288139202, 0.046693747286557348, 0.046693439349218394, 0.04669312356965253, 0.04669280004457832, 0.04669246887393344, 0.046692130160904857, 0.04669178401195738, 0.046691430536860548, 0.046691069848713962, 0.046690702063969719, 0.046690327302452719, 0.046689945687377242, 0.046689557345360268, 0.046689162406430472, 0.04668876100403236, 0.04668835327502497, 0.046687939359674351, 0.046687519401639316, 0.046687093547949032, 0.046686661948972086, 0.046686224758375555, 0.046685782133073249, 0.046685334233161478, 0.046684881221841661, 0.04668442326532711, 0.046683960532733618, 0.046683493195951206, 0.04668302142949507, 0.04668254541033396, 0.046682065317693075, 0.046681581332829306, 0.046681093638775373, 0.046680602420050343, 0.046680107862332343, 0.046679610152090337, 0.04667910947617003, 0.046678606021330185, 0.046678099973723408, 0.046677591518316491, 0.046677080838244296, 0.046676568114090031, 0.046676053523085362, 0.046675537238221765, 0.04667501942726502, 0.046674500251662969, 0.046673979865336113, 0.046673458413340072, 0.046672936030386969, 0.046672412839212515, 0.046671888948773547, 0.046671364452260528, 0.046670839424906109, 0.046670313921571657, 0.046669787974089987, 0.04666926158834156, 0.046668734741038713, 0.04666820737619197, 0.046667679401227277, 0.046667150682723521, 0.046666621041735058, 0.046666090248661397, 0.046665558017624578, 0.046665024000308919, 0.046664487779217896, 0.046663948860296442, 0.046663406664864668, 0.046662860520806627, 0.046662309652951005, 0.046661753172580762, 0.046661190066001772, 0.04666061918210037, 0.046660039218814127, 0.046659448708439751, 0.046658846001699561, 0.046658229250486877, 0.046657596389211603, 0.046656945114669099, 0.04665627286435977, 0.046655576793191503, 0.046654853748508668, 0.046654100243401803, 0.046653312428271317, 0.046652486060638099, 0.046651616473224543, 0.046650698540362578, 0.04664972664282907, 0.046648694631261138, 0.046647595788365616, 0.046646422790211903, 0.046645167666982124, 0.046643821763653441, 0.046642375701199557, 0.046640819339026342, 0.046639141739496244, 0.0466373311355485, 0.046630970635482126, 0.046622905232888243, 0.046612674539488821, 0.046599754930633508, 0.046583580507844079, 0.046563578636353693, 0.046539217226380068, 0.046510054106007413, 0.046475773376883113, 0.046436195825115822, 0.046391264053443459, 0.046341020825004561, 0.046285602848435539, 0.046225250749416365, 0.04616030592442872, 0.046091159461983174, 0.046018147717682312, 0.045941426888767324, 0.045860873721765734, 0.045776048416955734, 0.045686241069063445, 0.045590630580629218, 0.045488639693534158, 0.0453807209086, 0.045270206838900554, 0.045168006487644803, 0.045105653122582162, 0.0451762393655257, 0.045687445732563794, 0.047911524214249754, 0.059943461447922307, 0.1941740967368793, 0.14396531317517006, 0.07564860513675345, 0.061778252427747656, 0.056641504431284372, 0.054107880437815448, 0.0526426914270181, 0.051707014311918743, 0.05106840054513867, 0.050611693547425049, 0.050273840138039906, 0.050017588720300335, 0.049819567424813589, 0.04966437377518073, 0.049541428623129005, 0.049443202009007578, 0.049364163980529216, 0.049300139154890864, 0.049247896400386681, 0.049204880784700512, 0.049169034481076297, 0.049138674867470956, 0.049112410242377974, 0.049089080714494915, 0.049067716132081704, 0.049047505601461872, 0.049027774868577401, 0.04900796898212844, 0.048987638441999465, 0.048966427592198318, 0.04894406442058976, 0.048920351224525288, 0.048895155820242439, 0.048868403132492709, 0.048840067111422664, 0.048810162995523709, 0.048778739980221662, 0.048745874368367886, 0.048711663277882039, 0.048676218968827463, 0.048639663832242039, 0.048602126060170683, 0.048563735993672107, 0.048524623125266494, 0.04848491371567145, 0.048444728972332006, 0.048404183729233483, 0.04836338556344269, 0.048322434283169631, 0.048281421724185675, 0.048240431795460864, 0.048199540720228903, 0.048158817424783354, 0.048118324033678543, 0.048078116436304025, 0.048038244895754575, 0.04799875467637401, 0.04795968667120469, 0.047921078014795233, 0.047882962670406884, 0.047845371983645787, 0.047808335196991195, 0.047771879921639809, 0.047736032564619356, 0.047700818710296133, 0.047666263456277343, 0.047632391704345828, 0.047599228407509769, 0.047566798774548863, 0.047535128433629212, 0.047504243556673015, 0.047474170946231402, 0.047444938086643004, 0.047416573161285058, 0.047389105037743823, 0.047362563222770833, 0.047336977788941692, 0.047312379275011127, 0.047288798562055194, 0.047266266727616635, 0.047244814880207625, 0.047224473976683091, 0.047205274625165543, 0.047187246876369944, 0.047170420006339982, 0.047154822293755894, 0.047140480795094239, 0.047127421121014701, 0.047115667217389329, 0.047105241154393268, 0.04709616292701347, 0.047088450270212197, 0.04708211849180239, 0.047077180325838852, 0.047073645809026204, 0.047071522182275838, 0.047070813819124653, 0.047071286075984466, 0.047072702047698596, 0.047075059341126567, 0.047078353979162053, 0.047082580417736275, 0.047087731569245984, 0.047093798832035509, 0.047100772125461168, 0.047108639929972496, 0.047117389331555272, 0.047127006069797361, 0.047137474588762697, 0.047148778089789227, 0.047160898585263449, 0.047173816952371585, 0.047187512985776732, 0.047201965448135819, 0.047217152117332795, 0.047233049829281719, 0.047249634515133733, 0.047266881231708212, 0.047284764183966127, 0.047303256738341522, 0.047322331425761081, 0.047341959933197966, 0.047362113082634584, 0.04738276079635307, 0.047403872047527551, 0.047425414795167362, 0.047447355902562077, 0.047469661038504397, 0.047492294560733145, 0.047515219381245831, 0.047538396813387465, 0.047561786400948651, 0.047585345729900579, 0.04760903022387742, 0.047632792925099136, 0.047656584263120312, 0.047680351814606788, 0.047704040058288932, 0.047727590130328748, 0.047750939586561063, 0.047774022179427333, 0.04779676765889148, 0.047819101608181751, 0.047840945326792166, 0.047862215774736531, 0.047882825593482635, 0.047902683220191249, 0.04792169311270137, 0.047939756102971097, 0.047956769896219019, 0.047972629731613016, 0.047987229217824862, 0.048000461352935168, 0.048012219732896079, 0.048022399945980544, 0.048030901142402174, 0.048037627758754906, 0.048042491366418992, 0.048045412602114798, 0.048046323128023705, 0.048045167559153397, 0.048041905287818584, 0.048036512130173653, 0.048028981718542051, 0.048019326566515336, 0.048007578741841472, 0.047993790094982558, 0.047978032008460091, 0.047960394652807589, 0.047940985757816246, 0.047919928931163078, 0.047897361578699865, 0.047873432499938542, 0.04784829924711051, 0.047822125345520598, 0.047795077476193451, 0.047767322719010789, 0.047739025946193711, 0.047710347443075708, 0.047681440816924887, 0.047652451236556911, 0.047623514027054926, 0.047594753626368794, 0.047566282894929382, 0.047538202756409832, 0.047510602137794088, 0.047483558170079876, 0.047457136607100249, 0.047431392418762729, 0.047406370516032775, 0.047382106567724305, 0.047358627873099551, 0.047335954258958937, 0.047314098974919311, 0.047293069565600171, 0.047272868703232294, 0.047253494968585642, 0.047234943571989575, 0.047217207009535911, 0.047200275652306931, 0.047184138268682001, 0.047168782481490514, 0.047154195163055426, 0.047140362772069316, 0.047127271636826992, 0.047114908189665905, 0.047103259157589103, 0.047092311714014311, 0.047082053596446481, 0.047072473194643312, 0.047063559613563198, 0.047055302715069337, 0.047047693142036669, 0.047040722328173079, 0.04703438249654112, 0.047028666649449914, 0.047023568552087239, 0.047019082711979132, 0.047015204356101049, 0.047011929407217275, 0.047009254460798573, 0.047007176763653333, 0.047005694195208871, 0.047004805252194394, 0.047004509037296707], [0.046324643917306542, 0.046325274209225609, 0.046327164733283015, 0.046330314446659776, 0.046334721652251741, 0.046340384060039749, 0.046347298872975083, 0.046355462897379004, 0.046364872677890245, 0.046375524657064016, 0.046387415359836995, 0.04640054160322038, 0.046414900731793489, 0.046430490879841725, 0.04644731126132895, 0.046465362489328019, 0.046484646927075574, 0.046505169073479111, 0.046526935986713279, 0.046549957750535387, 0.046574247989150448, 0.046599824437931335, 0.046626709579092311, 0.046654931353627534, 0.046684523963545728, 0.046715528781809415, 0.046747995391601432, 0.046781982781826013, 0.04681756073243809, 0.046854811431701532, 0.046893831378384938, 0.046934733636006594, 0.046977650524600796, 0.047022736859603127, 0.047070173879414985, 0.047120174045952895, 0.047172986960199718, 0.047228906713511029, 0.047288281104020891, 0.047351523299016506, 0.047419126738269188, 0.047491684379978701, 0.047569913836683991, 0.047654690606602192, 0.047747092594529833, 0.047848460630039294, 0.047960482056499824, 0.048085308247842226, 0.048225723115903167, 0.048385390142952046, 0.048569223714129396, 0.048783963457293134, 0.049039092242370734, 0.04934836062627565, 0.049732434910181283, 0.050223751214648435, 0.050876015307137271, 0.051784372201946684, 0.053132934948916737, 0.055323432366623453, 0.059398041222317052, 0.068903805387696679, 0.10336057722524286, 0.29489260199325629, 0.080018336386520353, 0.050306540266110006, 0.045910888346985243, 0.044943338199204749, 0.044762651705715049, 0.044807952700398175, 0.044920370262921089, 0.045047322010920647, 0.045170153263107506, 0.045282396041623305, 0.045382275349616849, 0.045469872544901306, 0.045545983628427739, 0.045611644123544778, 0.045667930548620908, 0.045715880306377694, 0.045756462612817531, 0.045790570864365603, 0.045819023321082508, 0.045842566423602939, 0.045861878479009091, 0.045877573005641964, 0.045890201692393169, 0.04590025716359214, 0.045908175772858523, 0.045914340594432418, 0.045919084699143402, 0.045922694725079732, 0.045925414693956439, 0.045927449987116863, 0.045928971378511346, 0.045930119021698267, 0.045931006298887099, 0.045931723457535899, 0.045932340980131638, 0.045932912652669133, 0.045933478315175788, 0.045934066292434302, 0.045934695514503347, 0.045935377344839184, 0.045936117139146207, 0.045936915561020183, 0.045937769681518144, 0.045938673889474584, 0.045939620638115582, 0.045940601051642452, 0.045941605413242985, 0.045942623553638262, 0.045943645156934582, 0.04594465999831699, 0.045945658126052731, 0.045946629998401288, 0.045947566584366224, 0.045948459435765865, 0.045949300736841454, 0.045950083336541693, 0.045950800767705406, 0.045951447256590575, 0.045952017725550208, 0.045952507791110972, 0.045952913759260521, 0.045953232619371336, 0.045953462037873836, 0.045953600352526672, 0.04595364656790444, 0.045953637770900835, 0.04595361136619066, 0.045953567312614498, 0.045953505541367644, 0.045953425955690776, 0.045953328430433718, 0.045953212811490368, 0.045953078915100531, 0.045952926527014833, 0.04595275540151729, 0.045952565260299283, 0.045952355791177624, 0.045952126646649077, 0.045951877442270625, 0.045951607754856738, 0.045951317120479715, 0.045951005032261232, 0.045950670937939024, 0.04595031423719273, 0.045949934278709727, 0.045949530356970081, 0.045949101708728519, 0.045948647509166177, 0.045948166867685075, 0.045947658823312594, 0.045947122339681366, 0.04594655629954502, 0.045945959498786035, 0.045945330639868026, 0.045944668324677168, 0.045943971046693489, 0.045943237182424469, 0.045942464982025484, 0.045941652559023667, 0.045940797879050803, 0.045939898747480203, 0.045938952795848982, 0.045937957466933674, 0.045936909998328695, 0.045935807404360922, 0.045934646456149371, 0.045933423659596344, 0.045932135231067241, 0.045930777070484416, 0.045929344731522943, 0.045927833388554343, 0.045926237799933357, 0.045924552267168614, 0.045922770589449262, 0.045920886012925967, 0.045918891174054427, 0.045916778036206557, 0.045914537818634873, 0.045912160916733204, 0.045909636812374165, 0.045906953972907963, 0.045904099737181542, 0.045901060186667265, 0.045897819999475474, 0.045894362284650408, 0.045890668393707507, 0.045886717705845369, 0.045882487382645318, 0.045877952087335645, 0.045873083662826865, 0.045867850761693786, 0.045862218420070176, 0.045856147566001197, 0.045849594451155509, 0.04584250999291721, 0.045834839011779649, 0.045826519346707686, 0.04581748082887728, 0.045807644092258709, 0.045796919198485685, 0.045785204054487542, 0.045772382606522513, 0.045758322807310792, 0.045742874380784504, 0.045725866464102413, 0.045707105312244034, 0.045686372450303561, 0.045663424035902483, 0.045637992911913706, 0.045609796215031764, 0.045578554135592794, 0.045544030950252917, 0.045506121016835113, 0.045465027641962752, 0.045421640501342328, 0.045378357754319774, 0.045340966346114647, 0.045323245497354232, 0.045359332100122662, 0.045541445751557594, 0.04615778046488242, 0.048353991400617122, 0.059065700746529295, 0.1423349451807176, 0.10034655686156807, 0.064552226194829726, 0.055935453990101587, 0.052595674654740993, 0.050917915809065392, 0.049937218054008622, 0.049305231934793324, 0.048869628198908825, 0.048554413235980372, 0.048317853232863243, 0.048135290528564315, 0.047991294457785355, 0.047875750320072366, 0.047781770307067976, 0.047704512332786754, 0.047640479818438983, 0.047587089672222603, 0.047542396503682312, 0.047504911350419288, 0.047473479495553424, 0.047447196323286492, 0.047425348309566497, 0.047407371023248518, 0.047392818899933846, 0.047381343343279474, 0.047372676851170317, 0.047366621611759932, 0.047363041517676355, 0.047361856897310005, 0.047363041517676334, 0.047366621611759925, 0.047372676851170324, 0.047381343343279481, 0.047392818899933832, 0.047407371023248462, 0.047425348309566524, 0.04744719632328652, 0.047473479495553451, 0.047504911350419385, 0.04754239650368234, 0.047587089672222568, 0.047640479818438934, 0.047704512332786747, 0.047781770307067963, 0.047875750320072345, 0.047991294457785272, 0.04813529052856412, 0.048317853232863452, 0.048554413235980635, 0.048869628198908735, 0.049305231934793428, 0.049937218054009143, 0.050917915809065482, 0.052595674654741381, 0.055935453990103676, 0.064552226194828505, 0.100346556861548, 0.14233494518075984, 0.059065700746530538, 0.048353991400613826, 0.04615778046488217, 0.045541445751557524, 0.045359332100122621, 0.045323245497354211, 0.045340966346114599, 0.045378357754319754, 0.045421640501342363, 0.045465027641962759, 0.045506121016835113, 0.045544030950252903, 0.045578554135592773, 0.045609796215031799, 0.045637992911913741, 0.045663424035902442, 0.045686372450303554, 0.045707105312244048, 0.045725866464102413, 0.04574287438078449, 0.045758322807310771, 0.04577238260652252, 0.045785204054487487, 0.045796919198485657, 0.045807644092258702, 0.045817480828877252, 0.045826519346707686, 0.045834839011779677, 0.04584250999291721, 0.045849594451155475, 0.045856147566001176, 0.045862218420070149, 0.045867850761693793, 0.045873083662826851, 0.045877952087335652, 0.045882487382645318, 0.04588671770584539, 0.045890668393707507, 0.045894362284650415, 0.045897819999475439, 0.045901060186667286, 0.045904099737181542, 0.045906953972907949, 0.045909636812374144, 0.045912160916733231, 0.045914537818634908, 0.045916778036206557, 0.045918891174054413, 0.045920886012925967, 0.045922770589449227, 0.045924552267168614, 0.045926237799933399, 0.045927833388554336, 0.045929344731522943, 0.045930777070484395, 0.045932135231067248, 0.045933423659596358, 0.045934646456149385, 0.045935807404360901, 0.045936909998328675, 0.045937957466933674, 0.045938952795848996, 0.045939898747480196, 0.045940797879050789, 0.045941652559023667, 0.045942464982025498, 0.04594323718242449, 0.045943971046693483, 0.045944668324677161, 0.045945330639867998, 0.045945959498786042, 0.045946556299545034, 0.045947122339681373, 0.045947658823312566, 0.045948166867685047, 0.045948647509166149, 0.045949101708728499, 0.045949530356970102, 0.045949934278709706, 0.045950314237192751, 0.045950670937939052, 0.045951005032261238, 0.045951317120479708, 0.045951607754856752, 0.04595187744227066, 0.045952126646649064, 0.045952355791177638, 0.045952565260299269, 0.045952755401517283, 0.045952926527014833, 0.045953078915100518, 0.045953212811490368, 0.045953328430433732, 0.045953425955690748, 0.045953505541367651, 0.045953567312614511, 0.04595361136619068, 0.045953637770900835, 0.045953646567904405, 0.045953642170081362, 0.045953628977911651, 0.045953606995294514, 0.04595357622873094, 0.045953536687327559, 0.045953488382801812, 0.045953431329488266, 0.045953365544346939, 0.045953291046972745, 0.04595320785960634, 0.045953116007146605, 0.045953015517164277, 0.045952906419917477, 0.0459527887483678, 0.045952662538198616, 0.045952527827834218, 0.045952384658460514, 0.045952233074046778, 0.045952073121369036, 0.045951904850034156, 0.045951728312505769, 0.045951543564130767, 0.045951350663167176, 0.045951149670813013, 0.04595094065123622, 0.045950723671605312, 0.045950498802120932, 0.045950266116048383, 0.045950025689750484, 0.045949777602721016, 0.04594952193761899, 0.045949258780302704, 0.045948988219864352, 0.045948710348664303, 0.045948425262365686, 0.045948133059968088, 0.045947833843841178, 0.045947527719756964, 0.045947214796921619, 0.045946895188005599, 0.045946569009171941, 0.045946236380103117, 0.045945897424024884, 0.045945552267727847, 0.04594520104158531, 0.045944843879567751, 0.045944480919252774, 0.045944112301830105, 0.045943738172101178, 0.045943358678471977, 0.045942973972939366, 0.045942584211068678, 0.045942189551962886, 0.045941790158221238, 0.045941386195886932, 0.045940977834382092, 0.045940565246428998, 0.045940148607955394, 0.0459397280979831, 0.045939303898497139, 0.045938876194294168, 0.045938445172807145, 0.045938011023904546, 0.045937573939660997, 0.045937134114096397, 0.045936691742880731, 0.045936247023000198, 0.045935800152382036, 0.045935351329472324, 0.045934900752763685, 0.045934448620266417, 0.045933995128918444, 0.045933540473927711, 0.045933084848040352, 0.045932628440727402, 0.045932171437282024, 0.0459317140178188, 0.045931256356165427, 0.045930798618636415, 0.045930340962677355, 0.045929883535368095, 0.045929426471770222, 0.04592896989310484, 0.045928513904744749, 0.045928058594002855, 0.045927604027698368, 0.045927150249479791, 0.045926697276882367, 0.045926245098095057, 0.045925793668411416, 0.045925342906334404, 0.045924892689305066, 0.045924442849020905, 0.045923993166307464, 0.045923543365504936, 0.045923093108325937, 0.045922641987141952, 0.045922189517647753, 0.045921735130853923, 0.045921278164352472, 0.045920817852797259, 0.045920353317539402, 0.045919883555352516, 0.045919407426182425, 0.045918923639852074, 0.045918430741651028, 0.04591792709673919, 0.045917410873292389, 0.045916880024320032, 0.045916332268088139, 0.045915765067084918, 0.045915175605472917, 0.045914560764983431, 0.045913917099219735, 0.04591324080635574, 0.04591252770023585, 0.045911773179912851, 0.045910972197691809, 0.04591011922579117, 0.04590920822178178, 0.045908232593022132, 0.045907185160379123, 0.045906058121601395, 0.045904843014804755, 0.045903530682630769, 0.045902111237754881, 0.04590057403054363, 0.045898907619794642, 0.045893006392516471, 0.045885450405129591, 0.045875795509189868, 0.045863537830021679, 0.04584813316034602, 0.045829029483770233, 0.045805710374043997, 0.045777741552302333, 0.045744808504654851, 0.045706734245701826, 0.045663475507950323, 0.045615107810439863, 0.045561813010721867, 0.045503870149912869, 0.045441632319028223, 0.045375469537402728, 0.045305676725752281, 0.045232370323740549, 0.045155406996500246, 0.045074350833587476, 0.044988505903508419, 0.044897037374103846, 0.044799245618983394, 0.044695170630354823, 0.044586996831507242, 0.044482548295299539, 0.044404729270704386, 0.044419973611232275, 0.044738465995393842, 0.046161291715412098, 0.053034555163941011, 0.11382614363406462, 0.21450782616221145, 0.084025331563500366, 0.063576073650315021, 0.056970577111087321, 0.053928211554012603, 0.05223818997605597, 0.051186778012653512, 0.050482102148119039, 0.049984803624495346, 0.049620619503712965, 0.04934658027695004, 0.049136169273267853, 0.048972145993932847, 0.048842801361193913, 0.048739880155129096, 0.048657368977456768, 0.048590759121407583, 0.048536582513140809, 0.048492111085654134, 0.04845515737935778, 0.04842393968705494, 0.048396989344772982, 0.048373086049023087, 0.048351212038332758, 0.048330519040102951, 0.048310303838030214, 0.048289989603920676, 0.048269111016417551, 0.048247301807573313, 0.048224283824717884, 0.048199857022387438, 0.048173890039143678, 0.048146311187121218, 0.048117099801828704, 0.048086277976534482, 0.048053902748234602, 0.048020058818587966, 0.047984851890463254, 0.04794840268528916, 0.047910841683740032, 0.047872304606889501, 0.04783292863019882, 0.047792849300870924, 0.047752198111545796, 0.047711100670583664, 0.047669675401244761, 0.047628032698462476, 0.047586274471931984, 0.04754449400709769, 0.047502776080523952, 0.047461197272343644, 0.047419826425379071, 0.047378725207620799, 0.047337948741661584, 0.047297546271148821, 0.047257561840184738, 0.047218034966774076, 0.047179001295875156, 0.047140493221364037, 0.047102540469318124, 0.047065170637532863, 0.047028409688166309, 0.046992282391942468, 0.046956812723503667, 0.046922024208350642, 0.046887940222412598, 0.0468545842456961, 0.046821980071720032, 0.046790151974596572, 0.046759124835692022, 0.046728924231830858, 0.046699576487005519, 0.046671108689552016, 0.04664354867674439, 0.046616924988779049, 0.046591266794150994, 0.046566603788484637, 0.046542966068966456, 0.046520383986640379, 0.046498887978956842, 0.046478508385119272, 0.046459275246934446, 0.046441218098037904, 0.046424365744526359, 0.046408746040177244, 0.046394385659555122, 0.046381309872399662, 0.046369542322731654, 0.046359104816116388, 0.046350017118461893, 0.046342296769611095, 0.04633595891480434, 0.046331016156837039, 0.046327478431431007, 0.046325352907967271, 0.046324643917306542, 0.046325116592213389, 0.04632653382400552, 0.046328893237377246, 0.046332190885026117, 0.046336421264773497, 0.046341577343152474, 0.046347650585089696, 0.046354630989204088, 0.04636250712815107, 0.046371266193351302, 0.046380894043356505, 0.046391375255029087, 0.046402693176641842, 0.0464148299819395, 0.046427766724150103, 0.046441483388882453, 0.046455958944809445, 0.046471171390997219, 0.046487097799717117, 0.046503714353554687, 0.046520996375615256, 0.046538918351620412, 0.046557453942685394, 0.046576575987579, 0.046596256493279642, 0.04661646661266778, 0.046637176608234437, 0.046658355800737142, 0.046679972501806548, 0.046701993929604377, 0.046724386106754626, 0.0467471137399341, 0.04677014008071232, 0.046793426767487822, 0.046816933648694277, 0.046840618587847722, 0.046864437251494931, 0.046888342881715936, 0.04691228605554023, 0.046936214434473197, 0.04696007250830498, 0.046983801338496223, 0.047007338307705086, 0.047030616883431728, 0.047053566405293706, 0.047076111907076008, 0.047098173986375752, 0.047119668736313999, 0.047140507755322303, 0.047160598252306757, 0.047179843265403601, 0.047198142012885816, 0.047215390394369762, 0.047231481659088248, 0.047246307255432912, 0.047259757872035631, 0.047271724675205545, 0.047282100740497525, 0.047290782667592478, 0.047297672357697378, 0.047302678921661317, 0.047305720675482228, 0.047306727168549653, 0.047305641179696697, 0.047302420607889306, 0.047297040179157486, 0.047289492890095472, 0.047279791111645236, 0.047267967285349113, 0.047254074157806004, 0.047238184517218673, 0.047220390417700389, 0.047200801901029134, 0.047179545250069163, 0.047156760831259692, 0.047132600603592187, 0.047107225386802259, 0.047080801990971359, 0.047053500312796377, 0.047025490500471008, 0.046996940280026253, 0.046968012522165391, 0.046938863111481356, 0.046909639160994797, 0.046880477595699764, 0.046851504110588561, 0.046822832492507162, 0.046794564281897842, 0.046766788740405088, 0.046739583083533445, 0.046713012933869563, 0.046687132949446375, 0.046661987583153215, 0.046637611932146571, 0.046614032640462918, 0.046591268822993699, 0.046569332984243282, 0.046548231910512348, 0.046527967519099295, 0.046508537652608914, 0.046489936810411414, 0.046472156812656741, 0.046455187395021906, 0.046439016734580466, 0.046423631908884204, 0.046409019291600635, 0.046395164888918365, 0.046382054621483114, 0.046369674556922917, 0.046358011098111801, 0.046347051132263069, 0.046336782145769223, 0.046327192309455693, 0.046318270538614204, 0.046310006531850245, 0.046302390792436532, 0.046295414635518138, 0.046289070184180131, 0.046283350357064421, 0.046278248849917582, 0.046273760113163011, 0.046269879327326506, 0.046266602377891736, 0.046263925830936956, 0.046261846910686036, 0.046260363479909437, 0.04625947402392451, 0.046259177638765137], [0.045658867902863304, 0.045659499766256668, 0.04566139501764635, 0.045664552653174192, 0.045668971041448639, 0.045674647986090652, 0.045681580813283156, 0.045689766484342295, 0.045699201733370172, 0.045709883230128277, 0.045721807768389744, 0.045734972480190664, 0.045749375076623494, 0.045765014116107006, 0.045781889301433516, 0.04580000180735555, 0.045819354641048249, 0.045839953038486259, 0.0458618049006317, 0.045884921274383116, 0.045909316884511851, 0.045935010724380949, 0.045962026715152204, 0.045990394445549712, 0.046020150007155751, 0.046051336943833225, 0.046084007338393219, 0.04611822306531032, 0.046154057245498099, 0.046191595948348506, 0.046230940198053523, 0.046272208356540306, 0.046315538975336863, 0.046361094235018954, 0.046409064125875053, 0.046459671570356909, 0.046513178751448829, 0.046569894998108097, 0.046630186699382792, 0.046694489887551476, 0.046763326370080779, 0.046837324634715641, 0.04691724725520241, 0.047004027272144991, 0.047098817152304732, 0.047203055668937371, 0.047318560783588932, 0.047447661022467322, 0.047593385141825213, 0.047759742317176467, 0.047952146998619723, 0.048178082622763983, 0.048448174778717566, 0.048777997574524223, 0.049191262144351433, 0.049725775616766041, 0.050445384550088346, 0.051466107802208595, 0.053020189104206972, 0.055639064167633659, 0.060804025276905198, 0.074204837663007284, 0.13503843295619625, 0.23383834634116149, 0.063085511516667123, 0.047629745355667122, 0.044864322720117963, 0.04422961620123942, 0.044134960553327107, 0.044202242778413975, 0.044317221108182522, 0.044440597553718902, 0.044558154102124874, 0.044664980370236404, 0.044759832291127968, 0.044842937303385517, 0.044915092666186443, 0.044977284518780185, 0.0450305269919061, 0.045075796793673635, 0.045114009285570904, 0.045146012019341333, 0.045172584998581164, 0.045194443018096705, 0.045212238261983353, 0.045226562633671238, 0.045237949838811756, 0.045246877424835442, 0.045253768990622452, 0.045258996716168502, 0.045262884278619436, 0.04526571014484429, 0.045267711173905011, 0.045269086428461343, 0.045270001080336762, 0.045270590297742067, 0.04527096301486324, 0.045271205503872966, 0.045271384691026088, 0.045271551179532195, 0.045271741960584623, 0.045271982809346543, 0.045272290374574337, 0.045272673979054052, 0.045273137153543731, 0.045273678929971396, 0.045274294920784074, 0.045274978211073229, 0.045275720088859717, 0.045276510637057385, 0.045277339208430571, 0.045278194802518039, 0.045279066361165028, 0.045279942997077868, 0.045280814167755833, 0.045281669805290962, 0.045282500410872784, 0.045283297121386137, 0.045284051754239538, 0.045284756835490644, 0.045285405615425753, 0.045285992074985126, 0.045286510925784063, 0.045286957605943548, 0.045287328273499051, 0.04528761979878454, 0.045287829756879346, 0.045287956420944943, 0.045287998757056962, 0.045287990565951224, 0.045287965979832728, 0.045287924960239145, 0.045287867442871263, 0.045287793337298897, 0.045287702526546271, 0.045287594866555092, 0.045287470185520991, 0.045287328283099969, 0.045287168929479545, 0.045286991864308651, 0.045286796795479638, 0.045286583397754612, 0.045286351311226561, 0.045286100139606433, 0.045285829448323434, 0.0452855387624269, 0.045285227564274833, 0.045284895290993797, 0.045284541331692074, 0.045284165024406374, 0.045283765652761022, 0.045283342442314224, 0.045282894556565416, 0.045282421092592999, 0.04528192107628988, 0.045281393457159119, 0.045280837102629048, 0.045280250791841996, 0.045279633208865452, 0.045278982935269177, 0.045278298442004788, 0.045277578080517182, 0.045276820073008948, 0.045276022501769049, 0.045275183297467658, 0.045274300226305478, 0.045273370875893629, 0.045272392639723817, 0.045271362700071947, 0.045270278009157318, 0.045269135268357366, 0.045267930905251684, 0.045266661048239391, 0.045265321498439148, 0.045263907698542452, 0.04526241469824499, 0.045260837115828796, 0.04525916909540767, 0.045257404259277802, 0.045255535654735987, 0.045253555694631041, 0.045251456090807093, 0.045249227779466716, 0.045246860837334826, 0.045244344387326565, 0.045241666492218419, 0.045238814034579515, 0.045235772580935432, 0.045232526227802307, 0.045229057426832538, 0.045225346785847005, 0.045221372841975652, 0.045217111802477304, 0.045212537248039558, 0.045207619792452927, 0.045202326691492968, 0.045196621392602131, 0.045190463015536565, 0.0451838057525129, 0.045176598174585782, 0.045168782429056628, 0.045160293310796892, 0.045151057188736542, 0.045140990767931669, 0.04512999966853868, 0.045117976807395925, 0.045104800578837943, 0.045090332854395399, 0.045074416866219248, 0.045056875124793186, 0.045037507681844668, 0.04501609134861554, 0.044992381041665683, 0.044966115497773608, 0.044937031673568453, 0.044904896269765571, 0.044869571279230948, 0.044831148476589741, 0.044790227933157636, 0.044748510225720843, 0.044710110062210102, 0.044684649170361398, 0.044695152503867984, 0.044800549244649379, 0.045170374514951685, 0.046394590023680161, 0.0513046732720851, 0.083533061495975891, 0.15292937560853542, 0.074301642374519902, 0.058361261294046736, 0.053276867015474738, 0.050978541791698077, 0.049718370584781103, 0.048939988939237962, 0.048419276764902833, 0.048050686802565447, 0.047778677626564715, 0.04757149596287498, 0.047409783695847696, 0.047281119014145542, 0.047177191219131845, 0.047092244382468042, 0.047022174625257096, 0.046963983376746385, 0.046915433859898374, 0.046874828384278734, 0.046840860020996682, 0.04681251151454708, 0.046788985033124765, 0.046769652563647443, 0.046754020454686407, 0.046741703877619854, 0.046732408404830096, 0.046725916828451834, 0.04672207995932972, 0.046720810570865787, 0.046722079959329685, 0.046725916828451827, 0.046732408404830096, 0.046741703877619827, 0.046754020454686407, 0.046769652563647367, 0.046788985033124779, 0.0468125115145471, 0.04684086002099673, 0.046874828384278845, 0.046915433859898402, 0.046963983376746378, 0.047022174625257047, 0.047092244382468049, 0.047177191219131817, 0.047281119014145542, 0.047409783695847606, 0.047571495962874757, 0.047778677626564965, 0.048050686802565697, 0.048419276764902756, 0.04893998893923808, 0.049718370584781763, 0.050978541791698188, 0.053276867015475293, 0.05836126129405024, 0.074301642374518181, 0.15292937560850442, 0.083533061495993099, 0.051304673272085988, 0.046394590023678385, 0.04517037451495156, 0.044800549244649331, 0.044695152503867991, 0.044684649170361385, 0.044710110062210082, 0.044748510225720815, 0.044790227933157692, 0.044831148476589741, 0.044869571279230962, 0.044904896269765564, 0.044937031673568426, 0.044966115497773622, 0.044992381041665711, 0.04501609134861552, 0.045037507681844675, 0.045056875124793179, 0.045074416866219262, 0.045090332854395364, 0.045104800578837929, 0.045117976807395939, 0.045129999668538638, 0.045140990767931641, 0.045151057188736535, 0.045160293310796872, 0.045168782429056607, 0.045176598174585789, 0.045183805752512886, 0.045190463015536544, 0.045196621392602103, 0.045202326691492926, 0.045207619792452927, 0.045212537248039544, 0.045217111802477332, 0.045221372841975652, 0.045225346785847033, 0.045229057426832545, 0.0452325262278023, 0.045235772580935404, 0.045238814034579529, 0.045241666492218419, 0.045244344387326545, 0.045246860837334826, 0.04524922777946673, 0.045251456090807135, 0.045253555694631069, 0.045255535654735987, 0.045257404259277795, 0.045259169095407628, 0.04526083711582881, 0.045262414698245018, 0.045263907698542445, 0.045265321498439128, 0.045266661048239398, 0.045267930905251705, 0.045269135268357373, 0.045270278009157311, 0.04527136270007194, 0.045272392639723789, 0.045273370875893636, 0.045274300226305478, 0.045275183297467658, 0.045276022501769035, 0.045276820073008948, 0.045277578080517203, 0.045278298442004788, 0.045278982935269149, 0.045279633208865439, 0.045280250791841968, 0.045280837102629048, 0.045281393457159133, 0.045281921076289887, 0.045282421092592992, 0.045282894556565402, 0.045283342442314217, 0.045283765652761002, 0.045284165024406409, 0.045284541331692053, 0.045284895290993818, 0.045285227564274846, 0.045285538762426886, 0.04528582944832342, 0.045286100139606426, 0.045286351311226582, 0.045286583397754598, 0.045286796795479645, 0.045286991864308651, 0.045287168929479531, 0.04528732828309999, 0.045287470185520984, 0.045287594866555085, 0.045287702526546278, 0.045287793337298876, 0.04528786744287127, 0.045287924960239152, 0.045287965979832742, 0.045287990565951231, 0.045287998757056927, 0.045287994662151408, 0.045287982378806303, 0.045287961911136779, 0.045287933266003937, 0.045287896453018721, 0.04528785148454733, 0.045287798375717822, 0.045287737144428783, 0.045287667811359129, 0.045287590399979406, 0.045287504936564825, 0.045287411450209439, 0.045287309972842166, 0.045287200539243837, 0.045287083187066, 0.045286957956850865, 0.045286824892052976, 0.045286684039061734, 0.04528653544722578, 0.045286379168878024, 0.04528621525936264, 0.045286043777062655, 0.045285864783428796, 0.045285678343009825, 0.045285484523483265, 0.045285283395687548, 0.045285075033654795, 0.045284859514644477, 0.045284636919177709, 0.045284407331072023, 0.045284170837476871, 0.04528392752890905, 0.045283677499288723, 0.045283420845974955, 0.045283157669801656, 0.045282888075112555, 0.045282612169796108, 0.045282330065319072, 0.045282041876759438, 0.045281747722837669, 0.045281447725946222, 0.045281142012177283, 0.045280830711347593, 0.045280513957020756, 0.045280191886525878, 0.045279864640972549, 0.045279532365261208, 0.045279195208088464, 0.045278853321946623, 0.045278506863116567, 0.045278155991653482, 0.045277800871364036, 0.045277441669774598, 0.045277078558088608, 0.04527671171113283, 0.045276341307290371, 0.04527596752841969, 0.045275590559757203, 0.045275210589802654, 0.04527482781018486, 0.045274442415505545, 0.045274054603159725, 0.045273664573129174, 0.045273272527747342, 0.045272878671431552, 0.045272483210380444, 0.045272086352231976, 0.045271688305678966, 0.045271289280037125, 0.045270889484761739, 0.045270489128907139, 0.045270088420523664, 0.045269687565986261, 0.045269286769247727, 0.045268886231009234, 0.045268486147800588, 0.045268086710961122, 0.045267688105512044, 0.04526729050890952, 0.045266894089667678, 0.045266499005838921, 0.04526610540333819, 0.045265713414096423, 0.045265323154027995, 0.045264934720793779, 0.045264548191342062, 0.045264163619206203, 0.045263781031537637, 0.04526340042584908, 0.045263021766443604, 0.045262644980499846, 0.045262269953784268, 0.045261896525957343, 0.045261524485438236, 0.04526115356379104, 0.04526078342959089, 0.045260413681728319, 0.045260043842104331, 0.045259673347667964, 0.045259301541744811, 0.045258927664601031, 0.045258550843186827, 0.045258170079998689, 0.045257784240999611, 0.045257392042533214, 0.045256992037167779, 0.045256582598405835, 0.045256161904194819, 0.045255727919177181, 0.045255278375622141, 0.045254810752985902, 0.045254322256055017, 0.045253809791639565, 0.04525326994379409, 0.045252698947565118, 0.045252092661282987, 0.045251446537446074, 0.04525075559227662, 0.045250014374068989, 0.045249216930497535, 0.045248356775107738, 0.045247426853278802, 0.045246419508019498, 0.045245326446043704, 0.045244138704664684, 0.045242846620151135, 0.045241439798298401, 0.045239907088086395, 0.045234430334955715, 0.045227342988587403, 0.045218215672121857, 0.045206562730863847, 0.045191860466475976, 0.045173577331119028, 0.045151214231073634, 0.045124348585776838, 0.045092672126540674, 0.045056012892066399, 0.045014338179156718, 0.04496774382532745, 0.044916438095043129, 0.044860721104233607, 0.044800949991370756, 0.044737479010751389, 0.044670576481879228, 0.044600336608214816, 0.044526610650778196, 0.044448977096756929, 0.044366764036711817, 0.044279142218901828, 0.044185338748975386, 0.04408510691769333, 0.043979805737153412, 0.04387503815344173, 0.043787598154102429, 0.043765667492353083, 0.043956342697202513, 0.044883594185863344, 0.049047376908136119, 0.077946131607284655, 0.30548306568663564, 0.098591599156659979, 0.066395491730407694, 0.057650702586314537, 0.053938573605433061, 0.051969178655298917, 0.050779115792164778, 0.049997223642875448, 0.04945329664122837, 0.049059245189410496, 0.048765217783086935, 0.048540983652290946, 0.04836716377448011, 0.048230750147184871, 0.048122661965257101, 0.048036339927377797, 0.047966901421735181, 0.047910614012666469, 0.047864557293481901, 0.047826400276071303, 0.047794251826601589, 0.047766558446421976, 0.04774203333311592, 0.047719606375179469, 0.047698388239044577, 0.047677643926987388, 0.047656772638492356, 0.047635291753253699, 0.0476128234439804, 0.047589082922986116, 0.047563867688314783, 0.047537047399183276, 0.047508554199665314, 0.047478373439335912, 0.047446534821850461, 0.047413104057045567, 0.047378175108007917, 0.047341863119716596, 0.047304298097508753, 0.047265619377861438, 0.047225970905732995, 0.047185497305614124, 0.04714434070993849, 0.04710263828996139, 0.047060520421125969, 0.047018109407155846, 0.046975518684046695, 0.046932852425960805, 0.046890205478841013, 0.046847663553460227, 0.046805303616807896, 0.046763194428515571, 0.046721397176910796, 0.046679966176878154, 0.046638949598728136, 0.046598390203582099, 0.046558326066289159, 0.046518791271593432, 0.046479816573196768, 0.046441430008567715, 0.046403657464918556, 0.046366523193777653, 0.046330050273120954, 0.046294261017164502, 0.046259177334736591, 0.046224821037711854, 0.046191214101351477, 0.0461583788786087, 0.046126338270566267, 0.046095115855205905, 0.046064735976699835, 0.046035223797379538, 0.046006605314502451, 0.045978907343903828, 0.045952157472613955, 0.045926383982533639, 0.045901615747302796, 0.045877882104569209, 0.045855212705966757, 0.045833637347232829, 0.045813185781043507, 0.0457938875153001, 0.045775771599765397, 0.045758866404105127, 0.045743199390538329, 0.045728796884420095, 0.045715683846175602, 0.045703883648046457, 0.045693417859113919, 0.045684306042002826, 0.045676565564550312, 0.045670211429541148, 0.045665256125357871, 0.045661709500086238, 0.045659578661242359, 0.045658867902863304, 0.04565934175597243, 0.045660762527193012, 0.045663127855714372, 0.045666433818492301, 0.045670674947517267, 0.045675844253605088, 0.045681933256331519, 0.04568893201962889, 0.045696829192467057, 0.045705612053948727, 0.04571526656206399, 0.045725777405270077, 0.045737128055991644, 0.045749300825070532, 0.04576227691614012, 0.045776036478844914, 0.045790558659789191, 0.04580582165005679, 0.045821802728119497, 0.045838478296926707, 0.045855823913952619, 0.045873814312968955, 0.045892423416305402, 0.045911624336366655, 0.045931389365186349, 0.045951689950818657, 0.045972496659405684, 0.045993779121806008, 0.046015505963737484, 0.046037644718480562, 0.046060161721306857, 0.046083021984957541, 0.046106189055698521, 0.046129624849734964, 0.046153289470094651, 0.046177141004492057, 0.046201135305178366, 0.046225225752388049, 0.046249363003714405, 0.046273494732605711, 0.046297565360179739, 0.04632151578571448, 0.046345283122492559, 0.046368800447147793, 0.046391996572270333, 0.046414795853741468, 0.046437118046037257, 0.046458878220497123, 0.046479986763195952, 0.046500349470462894, 0.046519867761103506, 0.046538439024814464, 0.046555957125928638, 0.046572313080263911, 0.046587395920249533, 0.046601093759461976, 0.046613295062058933, 0.046623890115271752, 0.046632772694138014, 0.046639841897202064, 0.046645004120341713, 0.046648175123743321, 0.04664928213509402, 0.046648265921201866, 0.046645082751524965, 0.046639706171546766, 0.046632128502561758, 0.046622361987996172, 0.046610439515329553, 0.046596414856989087, 0.046580362392750894, 0.046562376299152893, 0.046542569216716338, 0.046521070431542917, 0.046498023632126198, 0.046473584323073025, 0.046447916993240204, 0.046421192145392032, 0.046393583297308298, 0.046365264060385498, 0.04633640539184998, 0.04630717310189765, 0.046277725678874775, 0.046248212475648191, 0.046218772280160907, 0.046189532274225772, 0.046160607367966566, 0.046132099883708803, 0.046104099552926499, 0.046076683783115788, 0.046049918147973185, 0.046023857053593013, 0.045998544535048057, 0.045974015141107737, 0.045950294869424896, 0.045927402119784091, 0.045905348638523386, 0.045884140432680548, 0.045863778637529933, 0.045844260325796686, 0.045825579250870968, 0.045807726519756835, 0.04579069119428486, 0.045774460821331103, 0.045759021894472174, 0.045744360250736492, 0.045730461406950002, 0.045717310840693082, 0.045704894221147055, 0.04569319759516801, 0.045682207533835964, 0.045671911244526922, 0.045662296653280393, 0.045653352461912933, 0.045645068183978808, 0.045637434163320757, 0.045630441578596165, 0.045624082436818016, 0.045618349558618279, 0.045613236557630304, 0.045608737816093287, 0.04560484845851355, 0.045601564324963546, 0.045598881945370276, 0.045596798515927579, 0.045595311878566927, 0.045594420504235532, 0.045594123480551085], [0.045012181139793959, 0.045012814951853511, 0.045014716062387529, 0.045017883507222287, 0.045022315721933659, 0.045028010605642259, 0.045034965610331185, 0.045043177855725078, 0.045052644269818004, 0.045063361755226759, 0.045075327381675176, 0.045088538605090545, 0.045102993514032172, 0.045118691104481377, 0.045135631584413576, 0.045153816710061703, 0.045173250156390017, 0.045193937925042747, 0.045215888793942123, 0.045239114813830188, 0.045263631858405748, 0.045289460236378913, 0.045316625375803547, 0.045345158593572195, 0.045375097966070699, 0.045406489320870824, 0.045439387374200627, 0.045473857045055792, 0.0455099749845954, 0.045547831369411464, 0.04558753202007227, 0.045629200922989305, 0.045672983255440482, 0.045719049042367614, 0.045767597611916053, 0.045818863068289271, 0.045873121070613997, 0.045930697302844124, 0.045991978153575454, 0.046057424312892836, 0.046127588261668559, 0.046203137016558773, 0.046284882063267418, 0.046373819260503629, 0.046471182789067172, 0.04657851922444213, 0.046697790988788304, 0.046831523601058689, 0.046983019763586459, 0.047156678158662202, 0.047358481251811843, 0.047596765330391505, 0.0478834807592785, 0.048236343664145878, 0.048682698978154915, 0.049266890279684374, 0.050065413225269077, 0.051221170404968486, 0.053031132833491312, 0.056212267718578242, 0.062936730846676003, 0.082867741423076638, 0.19978566293481995, 0.13425609941863195, 0.054510296607927784, 0.045777067330699459, 0.043982697494629595, 0.043568572473027901, 0.043533210946417128, 0.043615043645391816, 0.043730525632188058, 0.043849943801308841, 0.043962377963849879, 0.044064092055535214, 0.044154239215288306, 0.044233147980643817, 0.04430160468079937, 0.044360545944766197, 0.044410927474784326, 0.04445367023224709, 0.044489640499616144, 0.044519644204705403, 0.044544426687451746, 0.044564674103461321, 0.044581015011118302, 0.044594021767037861, 0.044604211804769443, 0.044612049010431434, 0.044617945399180708, 0.044622263225203053, 0.044625317572386677, 0.044627379397354477, 0.044628678941713046, 0.044629409398561963, 0.044629730707076175, 0.044629773353666247, 0.044629642073556901, 0.044629419367753859, 0.044629168773393957, 0.044628937847603814, 0.044628760844493312, 0.044628661080916593, 0.04462865299891712, 0.044628743941537478, 0.04462893566436367, 0.044629225608334093, 0.044629607960549725, 0.04463007452958194, 0.044630615460548348, 0.044631219813368789, 0.044631876025411549, 0.044632572277398287, 0.044633296779106331, 0.044634037989182654, 0.044634784781327104, 0.044635526567243684, 0.04463625338511007, 0.044636955960874122, 0.044637625748441129, 0.044638254953751969, 0.044638836546849726, 0.044639364265273367, 0.044639832611482383, 0.044640236846485382, 0.044640572981406633, 0.044640837768358865, 0.044641028691685264, 0.044641143960378722, 0.044641182502268797, 0.044641174904967364, 0.044641152101133709, 0.044641114054924227, 0.044641060706413896, 0.044640991971316969, 0.044640907740593073, 0.044640807879936927, 0.044640692229148092, 0.044640560601376958, 0.044640412782242199, 0.044640248528814361, 0.04464006756845855, 0.044639869597529587, 0.044639654279910047, 0.044639421245383205, 0.044639170087828473, 0.04463890036322854, 0.044638611587473925, 0.044638303233950599, 0.044637974730893357, 0.044637625458486374, 0.044637254745691197, 0.044636861866777643, 0.044636446037533528, 0.044636006411123932, 0.044635542073569352, 0.044635052038806994, 0.044634535243296816, 0.044633990540129467, 0.044633416692587219, 0.044632812367105132, 0.044632176125572402, 0.044631506416907656, 0.044630801567833597, 0.044630059772768141, 0.044629279082739254, 0.044628457393219169, 0.044627592430761538, 0.044626681738309817, 0.044625722659030538, 0.044624712318504504, 0.044623647605089273, 0.044622525148241422, 0.044621341294560225, 0.044620092081281287, 0.044618773206914077, 0.044617379998674288, 0.04461590737631442, 0.044614349811900315, 0.044612701285017209, 0.044610955232815268, 0.044609104494217004, 0.044607141247510265, 0.044605056940433312, 0.044602842211722248, 0.044600486802932764, 0.04459797945916176, 0.044595307817076116, 0.044592458278400422, 0.044589415866713902, 0.044586164065052808, 0.04458268463139739, 0.044578957388630581, 0.044574959984977784, 0.044570667620256181, 0.04456605273246346, 0.044561084638304389, 0.044555729120169266, 0.044549947950835937, 0.044543698345756978, 0.04453693233124003, 0.044529596015178752, 0.044521628745366984, 0.044512962139063521, 0.044503518966804989, 0.044493211874294905, 0.044481941929950121, 0.04446959699490903, 0.044456049931526194, 0.044441156703701919, 0.044424754492476674, 0.044406660080002644, 0.044386668994261046, 0.044364556350672234, 0.044340081159693984, 0.044312997460701685, 0.044283078753288782, 0.044250168456759505, 0.044214282173078656, 0.044175815881157328, 0.044135979010646559, 0.044097728850055827, 0.044067894958291463, 0.044062364789128949, 0.044120011628820538, 0.044345325539214657, 0.045065468342629464, 0.047595485588538627, 0.060115687455886767, 0.15492315405772888, 0.096924201385358899, 0.062956092314804216, 0.054590072776461211, 0.051300461059027365, 0.049635598702783904, 0.048658450938762393, 0.048027287971847514, 0.047591695824412826, 0.047276302578842022, 0.047039585627368902, 0.046856956084651763, 0.046713000602380601, 0.046597603683208894, 0.046503871438666751, 0.046426955463917924, 0.046363354589483527, 0.046310483595012664, 0.046266397678146741, 0.04622961127286989, 0.046198975931432039, 0.046173596276956407, 0.046152771152491966, 0.046135951859714711, 0.046122712265871245, 0.046112727353902414, 0.046105757940539178, 0.046101640045274513, 0.046100277910754273, 0.046101640045274492, 0.046105757940539158, 0.046112727353902434, 0.046122712265871245, 0.046135951859714683, 0.046152771152491889, 0.046173596276956455, 0.046198975931432046, 0.046229611272869932, 0.046266397678146859, 0.046310483595012678, 0.04636335458948352, 0.046426955463917868, 0.046503871438666758, 0.046597603683208859, 0.046713000602380594, 0.046856956084651659, 0.047039585627368652, 0.047276302578842286, 0.047591695824413131, 0.048027287971847431, 0.04865845093876256, 0.049635598702784792, 0.051300461059027531, 0.054590072776462016, 0.062956092314810377, 0.096924201385352599, 0.15492315405776461, 0.060115687455892713, 0.047595485588539065, 0.045065468342628458, 0.044345325539214567, 0.044120011628820517, 0.044062364789128984, 0.044067894958291449, 0.044097728850055778, 0.044135979010646545, 0.044175815881157363, 0.04421428217307867, 0.044250168456759525, 0.044283078753288789, 0.044312997460701643, 0.044340081159694011, 0.044364556350672234, 0.044386668994261018, 0.044406660080002637, 0.044424754492476674, 0.044441156703701933, 0.044456049931526173, 0.04446959699490903, 0.044481941929950149, 0.04449321187429487, 0.044503518966804961, 0.044512962139063514, 0.044521628745366963, 0.044529596015178731, 0.044536932331240044, 0.044543698345756964, 0.044549947950835916, 0.044555729120169231, 0.044561084638304362, 0.044566052732463474, 0.04457066762025616, 0.044574959984977819, 0.044578957388630602, 0.044582684631397411, 0.044586164065052801, 0.044589415866713895, 0.044592458278400388, 0.044595307817076144, 0.044597979459161753, 0.044600486802932757, 0.044602842211722248, 0.044605056940433326, 0.0446071412475103, 0.04460910449421699, 0.044610955232815268, 0.044612701285017216, 0.044614349811900281, 0.044615907376314441, 0.044617379998674309, 0.04461877320691407, 0.044620092081281267, 0.044621341294560225, 0.044622525148241422, 0.044623647605089266, 0.044624712318504511, 0.044625722659030531, 0.04462668173830979, 0.044627592430761524, 0.044628457393219169, 0.044629279082739254, 0.04463005977276812, 0.044630801567833604, 0.044631506416907676, 0.044632176125572423, 0.044632812367105104, 0.044633416692587226, 0.04463399054012944, 0.044634535243296802, 0.044635052038807001, 0.044635542073569387, 0.044636006411123919, 0.044636446037533514, 0.044636861866777643, 0.04463725474569117, 0.044637625458486388, 0.044637974730893322, 0.044638303233950613, 0.044638611587473939, 0.044638900363228533, 0.044639170087828466, 0.044639421245383205, 0.044639654279910075, 0.044639869597529587, 0.044640067568458577, 0.044640248528814368, 0.044640412782242192, 0.044640560601376958, 0.044640692229148085, 0.044640807879936933, 0.044640907740593073, 0.044640991971316948, 0.04464106070641391, 0.044641114054924234, 0.044641152101133737, 0.044641174904967378, 0.04464118250226877, 0.044641178704234966, 0.044641167311575393, 0.04464114832861648, 0.04464112176257156, 0.044641087623544823, 0.044641045924536979, 0.044640996681452182, 0.044640939913106796, 0.044640875641239801, 0.044640803890524348, 0.044640724688581185, 0.044640638065993575, 0.044640544056323644, 0.044640442696130225, 0.044640334024988147, 0.044640218085509005, 0.044640094923363564, 0.044639964587305042, 0.044639827129194315, 0.044639682604025899, 0.044639531069955767, 0.04463937258832993, 0.044639207223714353, 0.044639035043925995, 0.044638856120064997, 0.044638670526547589, 0.044638478341139952, 0.044638279644993228, 0.044638074522678574, 0.044637863062223331, 0.044637645355147429, 0.044637421496500129, 0.044637191584896894, 0.044636955722556201, 0.044636714015336407, 0.044636466572771871, 0.044636213508108653, 0.044635954938339203, 0.044635690984236039, 0.044635421770383807, 0.04463514742520952, 0.044634868081010942, 0.044634583873981823, 0.044634294944234681, 0.044634001435819727, 0.044633703496739667, 0.044633401278960448, 0.044633094938415899, 0.044632784635006903, 0.044632470532593685, 0.044632152798980383, 0.044631831605891188, 0.044631507128936744, 0.044631179547569871, 0.044630849045029501, 0.044630515808270967, 0.044630180027882091, 0.04462984189798215, 0.044629501616103379, 0.044629159383051932, 0.044628815402746928, 0.044628469882034755, 0.044628123030476488, 0.044627775060105464, 0.044627426185151878, 0.04462707662173146, 0.044626726587494121, 0.044626376301229211, 0.044626025982422296, 0.044625675850759591, 0.044625326125574301, 0.044624977025229301, 0.044624628766430398, 0.044624281563463077, 0.044623935627345547, 0.044623591164890015, 0.044623248377664015, 0.044622907460841306, 0.044622568601933039, 0.044622231979387347, 0.044621897761045359, 0.044621566102440273, 0.044621237144924705, 0.044620911013611507, 0.044620587815109705, 0.044620267635038159, 0.044619950535296084, 0.044619636551069625, 0.044619325687549415, 0.044619017916336018, 0.044618713171503475, 0.044618411345293339, 0.044618112283406591, 0.04461781577985946, 0.044617521571367419, 0.04461722933121709, 0.044616938662586744, 0.044616649091269313, 0.044616360057752505, 0.044616070908607239, 0.04461578088713182, 0.044615489123199951, 0.044615194622255175, 0.044614896253396326, 0.044614592736494568, 0.044614282628283937, 0.044613964307367443, 0.04461363595808137, 0.044613295553163838, 0.044612940835178118, 0.04461256929664708, 0.044612178158862766, 0.04461176434934825, 0.044611324477960686, 0.044610854811644958, 0.0446103512478669, 0.044609809286784832, 0.044609224002248406, 0.044608590011754108, 0.044607901445531346, 0.044607151914986196, 0.044606334480790918, 0.044605441620975843, 0.044604465199458362, 0.044603396435528263, 0.044602225874903409, 0.044600943363068142, 0.04459953802171205, 0.044594465006724475, 0.044587822447216013, 0.044579194981175498, 0.044568114400977236, 0.044554076998771765, 0.044536571874287688, 0.044515118627240918, 0.04448930905717987, 0.044458844348902175, 0.044423559221134834, 0.04438342890444881, 0.044338561137322291, 0.044289178117387994, 0.044235589442340836, 0.044178150920087145, 0.044117204137710392, 0.044053000454961959, 0.043985623796778991, 0.043914930742183902, 0.043840522802240614, 0.043761761251180635, 0.043677839176662771, 0.043587949793848793, 0.04349165566078713, 0.043389728084776272, 0.043286164879928701, 0.043193381818565919, 0.043146823300337679, 0.043251593084155139, 0.043861412427833743, 0.046495531332238722, 0.061667679267984485, 0.25086342952467733, 0.12586228097972257, 0.07070757321276204, 0.058712948514880389, 0.054100825066759624, 0.051780680815095993, 0.050423775209088618, 0.049551590831907619, 0.048954241095950556, 0.048526484512225049, 0.048210160647380908, 0.047970647536816284, 0.047786079603369856, 0.047641958903248523, 0.047528268231601251, 0.047437834920300431, 0.047365359568825885, 0.047306817022515033, 0.047259075087468988, 0.047219645458896002, 0.047186517511670689, 0.04715804539108142, 0.0471328700840438, 0.0471098647625273, 0.047088095710272754, 0.047066793670301726, 0.047045332094435968, 0.047023209883542909, 0.047000036978415823, 0.046975521712709939, 0.046949459239908967, 0.046921720637166188, 0.046892242495960412, 0.046861016950417271, 0.04682808218225247, 0.046793513487826698, 0.046757415007825251, 0.046719912212684775, 0.046681145215146068, 0.046641262952010425, 0.046600418245723745, 0.046558763726750052, 0.046516448572400233, 0.046473615998229349, 0.046430401424719735, 0.046386931234449889, 0.046343322032573214, 0.04629968032522274, 0.046256102535374044, 0.04621267528274102, 0.046169475862559886, 0.04612657286692276, 0.046084026901084152, 0.046041891355492484, 0.046000213201919105, 0.045959033788835472, 0.045918389617049457, 0.045878313081570483, 0.045838833169771886, 0.04579997610923256, 0.045761765961266673, 0.045724225158174786, 0.045687374983775342, 0.045651235997886591, 0.045615828406204172, 0.045581172377535659, 0.04554728831066545, 0.04551419705328693, 0.045481920075497194, 0.045450479600337636, 0.045419898693810558, 0.045390201316729835, 0.045361412340695108, 0.045333557530416076, 0.04530666349458147, 0.045280757607458165, 0.04525586790343078, 0.045232022946749224, 0.045209251678842398, 0.045187583245668878, 0.045167046807715591, 0.045147671335408666, 0.045129485392859686, 0.045112516913028491, 0.045096792967529817, 0.045082339534431498, 0.045069181267488573, 0.045057341270299235, 0.045046840878874596, 0.045037699456052245, 0.045029934201065172, 0.045023559977393678, 0.045018589161773599, 0.045015031516924098, 0.045012894090180985, 0.045012181139793959, 0.045012656453963608, 0.045014081612935519, 0.045016454269641119, 0.045019770524049346, 0.045024024940596742, 0.045029210572200079, 0.04503531899046917, 0.045042340321631111, 0.045050263287581764, 0.045059075251386728, 0.045068762266466188, 0.045079309128619988, 0.045090699429975532, 0.045102915613875416, 0.045115939029664404, 0.045129749986281435, 0.045144327803522934, 0.04515965085980099, 0.045175696635192601, 0.045192441748550992, 0.045209861987429385, 0.045227932329558837, 0.045246626954611041, 0.045265919244982876, 0.045285781774344919, 0.045306186282715183, 0.045327103636850843, 0.04534850377479481, 0.045370355633476876, 0.045392627058357858, 0.045415284694220376, 0.04543829385636472, 0.04546161838166958, 0.045485220459230258, 0.045509060440615659, 0.045533096630189562, 0.045557285056443381, 0.045581579225902023, 0.045605929861904496, 0.045630284631442801, 0.045654587864279499, 0.045678780269767058, 0.045702798658161473, 0.04572657567475822, 0.045750039556862541, 0.045773113925408948, 0.045795717624914342, 0.045817764627316612, 0.045839164017010131, 0.04585982007591359, 0.045879632488530726, 0.045898496687492636, 0.045916304359786705, 0.04593294413253543, 0.045948302454553093, 0.045962264685754053, 0.045974716400639735, 0.045985544904457346, 0.045994640951230376, 0.04600190064189031, 0.046007227468562083, 0.04601053445825571, 0.046011746356583352, 0.046010801780624444, 0.046007655260803582, 0.046002279085750948, 0.045994664862636189, 0.045984824709214805, 0.04597279200327728, 0.045958621630321106, 0.045942389690527649, 0.04592419265038853, 0.045904145950999828, 0.045882382112156152, 0.045859048396824698, 0.045834304122334295, 0.045808317720958336, 0.045781263662298614, 0.045753319352424882, 0.045724662120206497, 0.045695466390439518, 0.045665901127489722, 0.045636127613832525, 0.045606297606810703, 0.045576551895813291, 0.045547019262364062, 0.045517815828413279, 0.0454890447641986, 0.045460796316733547, 0.045433148113315509, 0.045406165691156568, 0.045379903203876942, 0.045354404257598832, 0.045329702833135407, 0.045305824255698839, 0.045282786179133283, 0.045260599557474912, 0.045239269582304079, 0.045218796569645558, 0.045199176784921066, 0.045180403198578072, 0.045162466168482594, 0.04514535404797821, 0.045129053720728507, 0.045113551065131194, 0.045098831352296767, 0.045084879582390811, 0.045071680764623201, 0.045059220146392499, 0.045047483397120155, 0.045036456752186982, 0.045026127122155077, 0.045016482172158208, 0.04500751037599985, 0.044999201049128468, 0.044991544364288281, 0.044984531353270248, 0.044978153897834237, 0.044972404712531368, 0.044967277321838861, 0.044962766033720916, 0.044958865911457084, 0.044955572745322782, 0.044952883025475537, 0.044950793917182409, 0.044949303239322544, 0.044948409446913494, 0.044948111618229425], [0.044506006974075141, 0.044506644815607475, 0.044508558027032019, 0.044511745681886143, 0.044516206279582804, 0.04452193781069335, 0.04452893784836872, 0.044537203665959049, 0.044546732380950145, 0.044557521125432008, 0.04456956724345805, 0.044582868515840833, 0.044597423413188314, 0.044613231378314612, 0.044630293139575755, 0.044648611057202865, 0.044668189505352646, 0.044689035293388898, 0.044711158130878413, 0.044734571141976792, 0.044759291436329202, 0.044785340745394475, 0.044812746135283854, 0.044841540809909625, 0.044871765021582931, 0.044903467110375545, 0.044936704698802295, 0.044971546074997905, 0.04500807180598726, 0.045046376633443748, 0.045086571718271115, 0.04512878731850372, 0.045173176008847571, 0.04521991658175304, 0.045269218812097042, 0.045321329324493967, 0.045376538879889378, 0.045435191505119751, 0.045497696038394465, 0.04556454087446643, 0.04563631299503601, 0.045713722808245642, 0.045797636967897959, 0.045889122313970153, 0.04598950556123288, 0.046100455682110103, 0.046224099635145934, 0.046363188160942377, 0.046521338596786622, 0.0467033994510739, 0.04691601353986289, 0.047168516664056429, 0.047474427152342957, 0.047854027340535996, 0.048339082103294996, 0.048982040079716051, 0.049875477986609969, 0.051197634790733436, 0.053334596858923396, 0.057276832217703834, 0.066333211096957209, 0.098129531822155378, 0.29997128426604086, 0.086682439892341284, 0.049768044434308198, 0.044512762136920389, 0.043325144785808151, 0.043062048192978951, 0.043069092473574079, 0.043161285110901448, 0.04327666753082729, 0.043392584293196881, 0.043500624906611808, 0.043597969075514428, 0.043684085424479026, 0.043759383879522655, 0.043824641833987668, 0.043880755307702614, 0.043928631891932877, 0.04396914658211476, 0.044003125237143996, 0.044031339617891983, 0.044054506763443121, 0.044073289607576643, 0.044088297698799295, 0.044100087785089503, 0.044109164390529011, 0.044115980610244659, 0.044120939321953823, 0.044124394933184721, 0.044126655694939641, 0.044127986537020908, 0.044128612326773523, 0.044128721423211725, 0.044128469389528545, 0.044127982733898709, 0.044127362565833481, 0.044126688078195857, 0.044126019789410657, 0.044125402503625157, 0.044124867966893737, 0.044124437214052389, 0.044124122613635325, 0.044123929627213426, 0.044123858305386385, 0.044123904545911988, 0.044124061140708527, 0.044124318638241698, 0.044124666046580871, 0.044125091400542132, 0.044125582214120544, 0.044126125837060604, 0.04412670973207225, 0.044127321686967515, 0.044127949973929922, 0.044128583466266386, 0.044129211721341544, 0.044129825036952793, 0.044130414487161186, 0.044130971942532161, 0.044131490078840603, 0.044131962377539441, 0.044132383120660063, 0.044132747382285939, 0.044133051018306162, 0.044133290655792926, 0.044133463683046846, 0.044133568241101734, 0.044133603217267073, 0.04413359617554892, 0.044133575039270241, 0.044133539775005413, 0.044133490326868134, 0.044133426616245058, 0.044133348541420522, 0.044133255977090113, 0.044133148773759824, 0.044133026757027551, 0.044132889726741821, 0.044132737456033015, 0.044132569690210309, 0.04413238614551801, 0.044132186507742158, 0.044131970430659889, 0.044131737534319412, 0.04413148740314092, 0.044131219583824176, 0.044130933583049731, 0.044130628864956771, 0.04413030484838041, 0.044129960903829327, 0.044129596350180558, 0.04412921045106856, 0.044128802410941012, 0.044128371370751582, 0.044127916403256459, 0.044127436507878023, 0.044126930605094719, 0.044126397530311286, 0.044125836027159034, 0.044125244740169697, 0.044124622206759639, 0.044123966848454675, 0.044123276961276547, 0.044122550705203822, 0.044121786092608951, 0.044120980975561074, 0.04412013303187149, 0.044119239749743147, 0.044118298410867729, 0.044117306071794885, 0.044116259543374975, 0.044115155368051807, 0.044113989794751209, 0.044112758751079166, 0.044111457812502822, 0.044110082168144549, 0.04410862658276718, 0.044107085354469361, 0.044105452267542464, 0.044103720539859781, 0.044101882764077949, 0.044099930841823128, 0.044097855909910666, 0.044095648257500869, 0.044093297232925037, 0.044090791138717278, 0.044088117113154884, 0.044085260996338471, 0.04408220717852275, 0.044078938428033489, 0.04407543569566414, 0.044071677891928729, 0.044067641632939317, 0.044063300949965398, 0.044058626956906703, 0.044053587468951369, 0.044048146564597247, 0.044042264081975244, 0.044035895039054779, 0.044028988965872727, 0.044021489135513785, 0.04401333167938612, 0.044004444571745745, 0.043994746469105027, 0.043984145393296252, 0.043972537254646039, 0.043959804227648037, 0.043945813022242285, 0.043930413151040099, 0.043913435397788365, 0.043894690884082446, 0.04387397148300258, 0.043851052980279186, 0.043825703611827943, 0.043797702970541148, 0.043766880948753938, 0.043733195927280859, 0.043696891689660455, 0.043658817635525149, 0.043621102982516959, 0.043588642852072625, 0.04357258522633279, 0.043599226688018244, 0.043735417745939677, 0.04417341529289643, 0.045587009212790207, 0.051272605089699747, 0.089662254484019682, 0.14956792621689297, 0.072449194255855262, 0.05713346879912963, 0.052145884710856037, 0.049867424104469933, 0.048611028701923978, 0.047832465070081209, 0.047310665372969476, 0.046940941650454031, 0.046667991303436775, 0.046460109312071007, 0.046297927402361008, 0.046168998679453316, 0.046064986991381139, 0.045980115167003358, 0.045910263383848196, 0.04585242235206935, 0.04580434941616679, 0.045764345464310748, 0.045731106324471506, 0.045703621531393589, 0.045681104070734863, 0.04566294090729911, 0.045648657805716086, 0.045637894227566124, 0.045630385528774471, 0.045625950620047304, 0.045624483887536565, 0.045625950620047276, 0.045630385528774464, 0.045637894227566152, 0.045648657805716079, 0.045662940907299096, 0.045681104070734786, 0.045703621531393637, 0.045731106324471527, 0.045764345464310796, 0.045804349416166915, 0.045852422352069357, 0.045910263383848189, 0.045980115167003309, 0.046064986991381125, 0.046168998679453295, 0.046297927402361008, 0.046460109312070896, 0.046667991303436539, 0.046940941650454336, 0.047310665372969865, 0.047832465070081105, 0.048611028701924158, 0.049867424104471064, 0.052145884710856336, 0.05713346879913099, 0.072449194255867141, 0.14956792621688894, 0.089662254484034101, 0.051272605089702147, 0.045587009212790422, 0.04417341529289584, 0.0437354177459396, 0.043599226688018237, 0.043572585226332811, 0.043588642852072632, 0.04362110298251691, 0.043658817635525135, 0.043696891689660483, 0.043733195927280859, 0.043766880948753931, 0.043797702970541141, 0.043825703611827922, 0.04385105298027922, 0.04387397148300258, 0.043894690884082418, 0.043913435397788352, 0.043930413151040099, 0.043945813022242299, 0.043959804227648024, 0.043972537254646046, 0.043984145393296259, 0.043994746469104992, 0.044004444571745689, 0.044013331679386113, 0.044021489135513764, 0.044028988965872713, 0.044035895039054807, 0.044042264081975237, 0.044048146564597226, 0.044053587468951334, 0.044058626956906669, 0.044063300949965391, 0.04406764163293931, 0.04407167789192875, 0.04407543569566414, 0.044078938428033509, 0.04408220717852275, 0.04408526099633845, 0.04408811711315487, 0.044090791138717299, 0.044093297232925037, 0.044095648257500827, 0.044097855909910659, 0.044099930841823155, 0.044101882764077976, 0.044103720539859795, 0.044105452267542478, 0.044107085354469361, 0.044108626582767145, 0.044110082168144576, 0.044111457812502856, 0.044112758751079166, 0.044113989794751195, 0.044115155368051807, 0.044116259543374996, 0.044117306071794871, 0.044118298410867729, 0.044119239749743119, 0.04412013303187147, 0.044120980975561074, 0.044121786092608958, 0.044122550705203829, 0.044123276961276513, 0.044123966848454682, 0.044124622206759653, 0.044125244740169711, 0.044125836027159027, 0.044126397530311272, 0.044126930605094705, 0.044127436507878003, 0.044127916403256459, 0.044128371370751582, 0.044128802410940998, 0.044129210451068546, 0.044129596350180537, 0.044129960903829327, 0.044130304848380444, 0.044130628864956736, 0.044130933583049745, 0.04413121958382419, 0.044131487403140914, 0.044131737534319405, 0.044131970430659896, 0.044132186507742199, 0.044132386145517996, 0.044132569690210337, 0.044132737456033022, 0.044132889726741814, 0.044133026757027544, 0.044133148773759824, 0.0441332559770901, 0.044133348541420529, 0.044133426616245024, 0.044133490326868134, 0.044133539775005434, 0.044133575039270262, 0.044133596175548934, 0.044133603217267031, 0.044133599696997358, 0.044133589137702219, 0.044133571543924444, 0.044133546923237989, 0.044133515286252124, 0.044133476646617313, 0.044133431021032309, 0.044133378429253238, 0.04413331889410433, 0.044133252441489836, 0.044133179100408072, 0.04413309890296653, 0.04413301188439904, 0.044132918083083984, 0.04413281754056439, 0.04413271030156931, 0.044132596414036822, 0.04413247592913825, 0.044132348901304061, 0.044132215388250684, 0.044132075451009181, 0.044131929153954752, 0.044131776564837549, 0.044131617754814639, 0.044131452798483177, 0.04413128177391426, 0.04413110476268782, 0.044130921849928555, 0.044130733124342139, 0.04413053867825216, 0.044130338607637667, 0.044130133012170843, 0.044129921995254791, 0.044129705664061304, 0.04412948412956854, 0.044129257506598046, 0.044129025913851178, 0.044128789473944524, 0.044128548313444108, 0.044128302562898153, 0.044128052356867543, 0.044127797833954645, 0.044127539136828708, 0.044127276412248659, 0.044127009811081759, 0.044126739488318384, 0.044126465603081845, 0.044126188318632555, 0.044125907802366124, 0.04412562422580428, 0.04412533776457804, 0.044125048598401634, 0.044124756911036983, 0.044124462890246602, 0.044124166727734393, 0.044123868619072602, 0.044123568763613688, 0.044123267364384891, 0.044122964627964466, 0.044122660764337088, 0.044122355986726272, 0.04412205051140182, 0.044121744557459111, 0.044121438346568183, 0.044121132102688698, 0.044120826051748246, 0.044120520421279438, 0.044120215440012794, 0.044119911337419937, 0.044119608343203436, 0.044119306686727075, 0.044119006596381544, 0.04411870829887924, 0.044118412018471102, 0.044118117976078619, 0.044117826388332372, 0.044117537466509232, 0.044117251415357869, 0.044116968431802711, 0.044116688703514942, 0.044116412407338837, 0.04411613970755919, 0.044115870753996284, 0.044115605679912781, 0.04411534459971489, 0.044115087606430459, 0.044114834768943421, 0.044114586128963997, 0.044114341697710321, 0.044114101452278377, 0.04411386533167172, 0.044113633232463485, 0.044113405004059386, 0.044113180443528383, 0.044112959289966953, 0.044112741218357579, 0.044112525832884025, 0.044112312659659453, 0.044112101138823551, 0.044111890615962983, 0.044111680332805166, 0.044111469417136492, 0.044111256871891977, 0.044111041563364137, 0.04411082220847725, 0.044110597361073409, 0.04411036539715868, 0.044110124499058108, 0.044109872638432843, 0.044109607558117318, 0.044109326752741186, 0.044109027448108719, 0.044108706579322053, 0.044108360767646661, 0.04410798629613865, 0.044107579084072056, 0.044107134660234658, 0.044106648135190059, 0.044106114172642472, 0.044105526960084254, 0.044104880178956238, 0.044104166974608908, 0.044103379926416074, 0.044102511018466073, 0.044101551611332536, 0.044100492415513719, 0.044099323467217906, 0.044098034107266822, 0.044093326211167176, 0.044087081623567864, 0.044078896684418355, 0.044068317939775718, 0.044054858816224909, 0.044038026449523447, 0.044017357290495412, 0.043992456830468853, 0.043963036008129397, 0.043928936516407162, 0.043890140302084539, 0.043846763347832704, 0.043799036506127147, 0.043747274512828976, 0.043691831115433864, 0.043633038927472036, 0.043571138793608973, 0.043506210578626317, 0.043438119729977666, 0.043366491040027849, 0.043290717668737218, 0.04321001697300432, 0.043123563755953276, 0.043030782418591325, 0.042932005282304474, 0.042830032250505065, 0.042734061513238393, 0.042670435677289363, 0.042715550649215249, 0.043114650476277647, 0.044833546977560659, 0.053489713372012207, 0.14258181574012568, 0.18153540109444816, 0.077682395945953331, 0.060459427784897352, 0.054596178912427101, 0.051823893923611246, 0.050261227871511792, 0.049280767028713979, 0.048620533482330454, 0.048153601942804256, 0.047811589134564035, 0.047554578912796859, 0.047357754014670232, 0.047204869095085492, 0.047084819119112754, 0.046989724165672382, 0.046913807044756971, 0.046852708535003701, 0.046803055533293225, 0.046762181193582518, 0.046727939471121957, 0.046698579919918271, 0.046672661764998472, 0.046648993946591409, 0.046626592460579944, 0.046604649206091392, 0.046582508416296124, 0.04655964799761457, 0.046535663967722712, 0.046510256798530887, 0.046483218915477117, 0.046454422926116186, 0.046423810378548626, 0.046391381003701389, 0.046357182490058824, 0.046321300887937442, 0.046283851754248505, 0.046244972138206226, 0.04620481348269348, 0.046163535482581577, 0.046121300906170649, 0.046078271353353642, 0.04603460389682501, 0.045990448532027654, 0.045945946347867118, 0.045901228323085866, 0.045856414651662694, 0.045811614503538538, 0.045766926133176809, 0.045722437256821846, 0.045678225628855137, 0.045634359757587346, 0.045590899710570947, 0.04554789796866799, 0.045505400296389935, 0.045463446603318511, 0.045422071777661006, 0.045381306478224928, 0.045341177875378773, 0.04530171033498942, 0.045262926042008475, 0.045224845562418466, 0.045187488343760254, 0.045150873155538181, 0.045115018471527511, 0.045079942796470089, 0.045045664939899158, 0.045012204239940727, 0.044979580739943612, 0.044947815320726954, 0.044916929791134833, 0.04488694693947471, 0.044857890548310762, 0.044829785374988954, 0.044802657100212362, 0.04477653224695298, 0.044751438071992791, 0.044727402432428898, 0.044704453629557259, 0.044682620232652299, 0.044661930885294472, 0.044642414097046078, 0.044624098023433034, 0.044607010237346083, 0.044591177495122161, 0.044576625500686973, 0.044563378671237219, 0.044551459907985064, 0.044540890375492269, 0.044531689293061505, 0.044523873741532383, 0.044517458488646022, 0.044512455835884125, 0.044508875489376529, 0.044506724457089565, 0.044506006974075141, 0.044506485309754942, 0.044507919535454625, 0.044510307310742764, 0.044513644746799481, 0.044517926424067857, 0.044523145416570556, 0.044529293322503133, 0.044536360300609042, 0.044544335111742217, 0.044553205164929388, 0.044562956567155067, 0.044573574176011446, 0.044585041654281676, 0.044597341525456656, 0.044610455229127363, 0.044624363175139146, 0.044639044795352925, 0.044654478591814192, 0.044670642180101444, 0.044687512326597484, 0.044705064978405165, 0.044723275284616872, 0.044742117607633379, 0.044761565523230712, 0.044781591808074991, 0.044802168413400442, 0.044823266423593119, 0.044844855998462427, 0.044866906298040701, 0.044889385388835912, 0.044912260130572562, 0.044935496042608429, 0.044959057149412389, 0.044982905804741138, 0.045007002494482452, 0.045031305618540032, 0.045055771252645579, 0.045080352891611185, 0.045105001176292674, 0.045129663607444685, 0.045154284250720191, 0.045178803438315478, 0.045203157474189654, 0.045227278351394909, 0.045251093491821964, 0.045274525520568744, 0.045297492089121552, 0.04531990576353008, 0.045341673995648493, 0.045362699197170855, 0.045382878937440016, 0.045402106286644081, 0.045420270325804361, 0.045437256843643484, 0.045452949237743838, 0.045467229633125661, 0.045479980225296111, 0.045491084846841098, 0.045500430746769488, 0.045507910560263418, 0.045513424433624904, 0.045516882255656921, 0.045518205933312919, 0.045517331637230658, 0.045514211932907979, 0.045508817706986913, 0.045501139796512609, 0.04549119023299604, 0.04547900302313812, 0.045464634404138837, 0.045448162533021336, 0.045429686595130817, 0.045409325345206211, 0.045387215123057573, 0.045363507412663297, 0.045338366036271505, 0.045311964092038109, 0.045284480753607748, 0.045256098052281132, 0.045226997757181926, 0.045197358456981959, 0.045167352929647138, 0.045137145866048244, 0.045106891990989627, 0.045076734603011454, 0.045046804533735108, 0.045017219509709425, 0.044988083885420596, 0.044959488705693808, 0.044931512049115149, 0.04490421960103845, 0.044877665404701686, 0.044851892741360123, 0.044826935094502356, 0.044802817158532036, 0.044779555858234836, 0.044757161351451122, 0.044735637993288821, 0.044714985245697406, 0.04469519852111524, 0.044676269953121128, 0.044658189090542581, 0.044640943514316724, 0.04462451937861836, 0.044608901879427829, 0.044594075654890569, 0.044580025122595478, 0.044566734759345555, 0.044554189329184889, 0.044542374065434764, 0.044531274812336673, 0.044520878131640129, 0.0445111713791458, 0.044502142755845776, 0.044493781337914935, 0.044486077089416279, 0.044479020861197552, 0.044472604379089106, 0.044466820224162713, 0.044461661807486182, 0.044457123341503944, 0.044453199809897231, 0.044449886937516614, 0.044447181161746986, 0.044445079606443533, 0.044443580059375869, 0.044442680953929781, 0.044442381355636149], [0.043921161023735708, 0.043921802163030925, 0.043923725280509286, 0.043926929488292556, 0.043931413351066179, 0.04393717495282054, 0.043944211990334867, 0.043952521893487161, 0.043962101972539087, 0.043972949592653084, 0.043985062376052944, 0.043998438432442881, 0.044013076618574558, 0.044028976828204482, 0.044046140314127666, 0.044064570044527338, 0.044084271096569504, 0.044105251091013729, 0.044127520672643653, 0.044151094042588698, 0.044175989550152721, 0.044202230353669471, 0.044229845162235888, 0.044258869073070313, 0.04428934452282874, 0.044321322375699315, 0.0443548631767407, 0.044390038606070215, 0.044426933178621543, 0.044465646245894601, 0.044506294371271501, 0.044549014170257951, 0.044593965733040003, 0.044641336781330997, 0.044691347757839603, 0.044744258109455634, 0.044800374111117404, 0.044860058696127719, 0.044923743925023005, 0.044991946960990577, 0.045065290759026648, 0.045144531171097964, 0.045230592903967595, 0.045324617875207619, 0.045428031219888351, 0.045542632884614159, 0.045670727066752619, 0.045815308897054673, 0.045980339911425638, 0.046171165211659239, 0.046395164171509136, 0.04666280068992304, 0.046989387185889527, 0.047398190124709763, 0.04792621491477865, 0.048635752272362984, 0.049639505540573961, 0.051161730381463544, 0.053711097594024669, 0.058686080783816055, 0.071332823466607242, 0.12647100215081147, 0.27633830305615281, 0.065666384367758415, 0.046763598055114264, 0.043449076449610734, 0.042653936529836352, 0.042495182432346963, 0.042531764654260257, 0.042630339403498869, 0.042744380927517409, 0.042856474008558063, 0.042960114603426698, 0.043053183319719641, 0.043135385648915156, 0.043207185043959359, 0.043269341568862564, 0.043322709632751553, 0.043368150300691889, 0.043406494853541977, 0.043438530906731984, 0.04346499791514314, 0.043486586111381828, 0.043503936364900228, 0.043517640089267735, 0.043528239073317578, 0.043536225407216779, 0.043542041740039464, 0.043546082061384515, 0.043548693113296816, 0.04355017644796548, 0.043550791071081743, 0.043550756558535783, 0.043550256506246818, 0.043549442166080941, 0.043548436129814488, 0.043547335942341385, 0.043546217549790656, 0.04354513851395278, 0.043544140948650396, 0.043543254154757648, 0.043542496947698676, 0.043541879684303987, 0.043541406005163028, 0.043541074314602204, 0.043540879023744886, 0.043540811583394651, 0.043540861333268857, 0.043541016192875336, 0.043541263217447335, 0.043541589040121946, 0.043541980219181611, 0.043542423506826002, 0.043542906053701286, 0.043543415561346104, 0.043543940392848479, 0.04354446965035793, 0.043544993226655837, 0.043545501836747241, 0.043545987034378557, 0.043546441217490399, 0.04354685762586364, 0.043547230333589697, 0.043547554238474027, 0.043547825050050962, 0.04354803927753001, 0.043548194218696941, 0.043548287950545307, 0.043548319322203974, 0.043548312844221962, 0.043548293399956903, 0.043548260958401468, 0.043548215467708401, 0.043548156854937403, 0.043548085025698041, 0.043547999863687188, 0.043547901230117855, 0.043547788963035468, 0.043547662876518123, 0.043547522759755083, 0.043547368375997791, 0.043547199461377126, 0.043547015723578164, 0.04354681684036546, 0.043546602457947406, 0.043546372189169978, 0.043546125611526987, 0.043545862264973811, 0.043545581649529125, 0.043545283222647571, 0.043544966396345905, 0.043544630534060165, 0.043544274947212601, 0.043543898891461499, 0.043543501562606689, 0.043543082092118525, 0.043542639542255818, 0.04354217290073422, 0.043541681074901466, 0.043541162885371819, 0.043540617059066693, 0.043540042221601273, 0.04353943688895176, 0.043538799458328274, 0.043538128198171662, 0.043537421237181032, 0.043536676552268845, 0.043535891955326832, 0.043535065078673198, 0.043534193359033739, 0.043533274019892237, 0.043532304052024171, 0.043531280192003849, 0.043530198898447864, 0.043529056325726352, 0.043527848294837627, 0.043526570261101231, 0.043525217278275817, 0.043523783958654937, 0.04352226442863058, 0.043520652279140391, 0.043518940510332123, 0.04351712146967858, 0.043515186782665062, 0.043513127275037269, 0.043510932885443783, 0.043508592567127413, 0.043506094177108857, 0.043503424351059854, 0.043500568361774704, 0.043497509958811152, 0.043494231186474858, 0.043490712176859361, 0.043486930914110988, 0.043482862965455629, 0.043478481173792854, 0.043473755305814696, 0.04346865164864458, 0.043463132546905273, 0.043457155870939145, 0.043450674405653263, 0.043443635148239901, 0.043435978502003661, 0.043427637353020881, 0.043418536016938986, 0.043408589045876904, 0.043397699891851424, 0.043385759436456971, 0.043372644421986864, 0.043358215866219275, 0.043342317628582358, 0.043324775450038495, 0.043305397069609952, 0.043283974534434375, 0.043260290775767055, 0.043234134335368893, 0.043205329649487749, 0.043173797356570447, 0.04313967376166377, 0.043103550411044377, 0.04306696742563703, 0.043033470951649354, 0.043011008317822362, 0.043017767568515712, 0.043097884882264993, 0.043369750707476409, 0.044205664113728199, 0.047122646477908016, 0.061848554550090924, 0.16816340052051082, 0.093759344607148604, 0.061624900285867312, 0.053496430928635791, 0.050250679628087588, 0.048594766364129349, 0.047618464677673084, 0.046986181722106356, 0.046549158580279887, 0.046232490846729493, 0.045994770423532387, 0.045811414016050704, 0.045666982998806276, 0.045551331700609161, 0.045457539597960381, 0.045380737522256971, 0.045317409659063529, 0.045264961885019633, 0.045221445767741418, 0.045185377009141568, 0.045155613103791306, 0.045131269232760847, 0.045111659521254038, 0.045096255558767451, 0.045084656975114698, 0.045076570675079884, 0.045071796501098667, 0.045070217873115132, 0.045071796501098639, 0.04507657067507987, 0.045084656975114719, 0.045096255558767451, 0.045111659521254024, 0.045131269232760791, 0.045155613103791348, 0.045185377009141603, 0.04522144576774146, 0.045264961885019744, 0.045317409659063536, 0.045380737522256971, 0.045457539597960332, 0.045551331700609148, 0.045666982998806241, 0.045811414016050697, 0.045994770423532269, 0.046232490846729236, 0.046549158580280234, 0.0469861817221068, 0.047618464677672966, 0.048594766364129564, 0.050250679628089066, 0.053496430928636145, 0.061624900285869616, 0.093759344607174472, 0.16816340052052178, 0.061848554550096961, 0.047122646477909272, 0.044205664113728359, 0.043369750707476055, 0.043097884882264952, 0.043017767568515712, 0.043011008317822397, 0.043033470951649361, 0.043066967425636982, 0.043103550411044342, 0.043139673761663805, 0.043173797356570447, 0.04320532964948777, 0.0432341343353689, 0.043260290775767013, 0.043283974534434402, 0.043305397069609966, 0.043324775450038461, 0.043342317628582351, 0.043358215866219282, 0.043372644421986864, 0.043385759436456957, 0.043397699891851424, 0.043408589045876918, 0.043418536016938937, 0.043427637353020861, 0.043435978502003661, 0.04344363514823988, 0.043450674405653242, 0.043457155870939165, 0.043463132546905273, 0.043468651648644559, 0.043473755305814661, 0.04347848117379282, 0.043482862965455629, 0.043486930914110974, 0.043490712176859389, 0.043494231186474865, 0.043497509958811187, 0.043500568361774718, 0.043503424351059833, 0.043506094177108851, 0.043508592567127441, 0.04351093288544379, 0.043513127275037262, 0.043515186782665069, 0.0435171214696786, 0.043518940510332164, 0.043520652279140405, 0.043522264428630553, 0.04352378395865493, 0.043525217278275775, 0.043526570261101252, 0.043527848294837655, 0.043529056325726331, 0.043530198898447843, 0.043531280192003849, 0.043532304052024184, 0.043533274019892244, 0.043534193359033739, 0.043535065078673177, 0.043535891955326811, 0.043536676552268838, 0.043537421237181025, 0.043538128198171669, 0.043538799458328267, 0.04353943688895176, 0.043540042221601287, 0.043540617059066686, 0.043541162885371791, 0.043541681074901438, 0.043542172900734206, 0.043542639542255804, 0.043543082092118546, 0.043543501562606696, 0.043543898891461472, 0.043544274947212566, 0.043544630534060151, 0.04354496639634587, 0.043545283222647606, 0.043545581649529104, 0.043545862264973839, 0.043546125611527015, 0.043546372189169992, 0.043546602457947413, 0.043546816840365467, 0.043547015723578192, 0.043547199461377119, 0.043547368375997819, 0.04354752275975509, 0.043547662876518123, 0.043547788963035475, 0.043547901230117855, 0.043547999863687195, 0.043548085025698041, 0.043548156854937389, 0.043548215467708415, 0.043548260958401482, 0.043548293399956924, 0.043548312844221976, 0.043548319322203946, 0.043548316083774387, 0.043548306370066889, 0.043548290185825914, 0.043548267538961669, 0.043548238440554263, 0.043548202904859779, 0.043548160949317537, 0.043548112594559436, 0.043548057864420918, 0.043547996785953155, 0.043547929389437467, 0.043547855708400834, 0.04354777577963341, 0.043547689643207162, 0.043547597342496518, 0.043547498924200144, 0.043547394438364598, 0.043547283938408982, 0.043547167481151484, 0.043547045126836804, 0.043546916939165403, 0.043546782985323607, 0.043546643336015142, 0.043546498065493759, 0.04354634725159693, 0.043546190975780462, 0.043546029323154038, 0.043545862382517682, 0.043545690246398663, 0.04354551301108904, 0.043545330776683711, 0.043545143647118652, 0.043544951730209135, 0.043544755137688011, 0.043544553985243713, 0.043544348392557483, 0.043544138483340163, 0.043543924385367631, 0.043543706230515081, 0.043543484154789591, 0.043543258298360518, 0.04354302880558774, 0.043542795825046714, 0.043542559509550396, 0.04354232001616707, 0.043542077506234018, 0.043541832145365833, 0.043541584103457188, 0.04354133355467886, 0.043541080677466475, 0.04354082565450109, 0.043540568672680496, 0.043540309923079952, 0.043540049600901715, 0.043539787905411548, 0.043539525039861082, 0.043539261211394419, 0.04353899663093698, 0.043538731513065469, 0.043538466075856173, 0.043538200540709775, 0.043537935132150311, 0.043537670077595306, 0.043537405607094799, 0.043537141953035395, 0.043536879349806636, 0.0435366180334254, 0.043536358241114757, 0.04353610021083229, 0.043535844180743806, 0.043535590388636268, 0.04353533907126509, 0.043535090463628912, 0.04353484479816562, 0.043534602303861553, 0.043534363205266526, 0.043534127721405663, 0.043533896064578248, 0.043533668439033911, 0.043533445039514278, 0.043533226049648738, 0.043533011640190147, 0.043532801967076998, 0.043532597169306589, 0.043532397366601819, 0.043532202656854306, 0.043532013113323838, 0.043531828781573668, 0.043531649676118098, 0.043531475776759476, 0.04353130702458699, 0.043531143317610287, 0.043530984505997891, 0.043530830386887778, 0.043530680698737848, 0.043530535115177613, 0.043530393238326186, 0.043530254591533993, 0.043530118611506879, 0.043529984639769426, 0.043529851913420424, 0.043529719555134752, 0.043529586562362672, 0.043529451795678097, 0.04352931396622714, 0.043529171622227983, 0.043529023134476569, 0.043528866680812774, 0.043528700229507548, 0.043528521521535982, 0.043528328051709156, 0.043528117048646002, 0.043527885453580231, 0.043527629898009935, 0.043527346680218626, 0.043527031740715247, 0.04352668063667027, 0.043526288515453766, 0.043525850087418681, 0.043525359598114439, 0.043524810800163752, 0.043524196925089589, 0.043523510655440183, 0.043522744097626312, 0.043521888755957756, 0.043520935508443756, 0.043519874585002963, 0.043518695548813179, 0.043514335120620667, 0.043508469924145796, 0.043500708151141397, 0.043490611356683063, 0.043477710595783009, 0.043461531973873965, 0.043441630359615346, 0.043417627133585282, 0.043389245363536354, 0.04335633525091169, 0.043318884889752662, 0.0432770151473576, 0.043230960080037718, 0.043181034083198379, 0.043127585645629685, 0.043070938630661609, 0.043011326446629305, 0.04294882922470375, 0.042883325417802064, 0.042814466740752691, 0.042741682748952063, 0.042664224142603097, 0.042581268914971757, 0.042492155283456359, 0.042396902433690264, 0.042297428000521914, 0.042200559166473632, 0.042126051496018321, 0.042130254571101526, 0.04238706068473904, 0.043533584242527047, 0.048794447674978876, 0.090056111930550825, 0.28397395323827268, 0.088894787691550486, 0.062831450262928176, 0.055213202036657708, 0.051864380226979138, 0.050053917240931785, 0.048947936016576932, 0.048216769627981958, 0.047706552923221388, 0.047336615116116684, 0.047060837174731286, 0.046851013550802192, 0.046688926563018825, 0.046562260642449137, 0.046462358372627861, 0.046382922840488082, 0.046319234764219258, 0.046267663453679567, 0.046225352479726235, 0.046190012866228446, 0.046159784360835024, 0.046133140772427361, 0.046108824269546156, 0.046085798857676545, 0.046063216548718457, 0.04604039185077289, 0.046016781614070246, 0.045991968238707971, 0.045965644936849175, 0.04593760223636674, 0.045907715268242756, 0.045875931629776552, 0.045842259782489694, 0.045806758044834875, 0.045769524289975792, 0.045730686471024976, 0.04569039408188915, 0.045648810631492252, 0.045606107171089046, 0.045562456875200982, 0.045518030641028592, 0.045472993641861338, 0.045427502748360528, 0.045381704717803124, 0.045335735044813932, 0.045289717366653638, 0.045243763320427906, 0.045197972757277889, 0.045152434228454531, 0.045107225669107194, 0.045062415216796201, 0.045018062112546178, 0.044974217642279331, 0.044930926085440775, 0.044888225645448247, 0.044846149343227427, 0.044804725860592053, 0.044763980324679063, 0.044723935028168509, 0.044684610082737698, 0.04464602400523502, 0.044608194237537646, 0.044571137602083713, 0.044534870695735723, 0.04449941022502845, 0.044464773286042931, 0.044430977592189211, 0.044398041653124949, 0.044365984907917079, 0.044334827815404786, 0.044304591904563047, 0.04427529978752278, 0.044246975137774792, 0.044219642635998306, 0.044193327885898429, 0.044168057302424603, 0.044143857974768219, 0.044120757506604984, 0.044098783836141332, 0.04407796503865323, 0.044058329114348441, 0.044039903764538875, 0.044022716159265125, 0.04400679269966095, 0.043992158778468439, 0.043978838542211976, 0.043966854658585387, 0.04395622809261162, 0.043946977895076608, 0.043939121006617461, 0.043932672080661726, 0.043927643328154325, 0.043924044386694491, 0.043921882216319548, 0.043921161023735708, 0.043921641832205149, 0.043923083479434535, 0.043925483634519168, 0.043928838424664191, 0.043933142453053825, 0.043938388823467456, 0.04394456917124881, 0.043951673700125676, 0.04395969122427805, 0.043968609214957023, 0.043978413850865414, 0.043989090071430544, 0.044000621632022618, 0.044012991160103876, 0.044026180211233328, 0.04404016932379478, 0.044054938071273343, 0.044070465110858645, 0.04408672822712293, 0.044103704369491084, 0.044121369682195474, 0.044139699525393136, 0.044158668486106889, 0.044178250377650156, 0.044198418226193949, 0.044219144243144555, 0.044240399782023751, 0.044262155278577492, 0.044284380172892913, 0.044307042812382173, 0.044330110334597758, 0.044353548528991565, 0.044377321676924208, 0.044401392369481769, 0.044425721302986491, 0.044450267052499354, 0.044474985824128226, 0.044499831187595443, 0.044524753791293517, 0.044549701062993934, 0.044574616900479654, 0.044599441357667288, 0.044624110333270073, 0.044648555270732825, 0.044672702880024742, 0.044696474893882232, 0.044719787873192217, 0.04474255307832796, 0.04476467642527894, 0.044786058547214125, 0.044806594983504179, 0.04482617651898145, 0.044844689696092975, 0.044862017521322677, 0.044878040384549338, 0.044892637205605539, 0.044905686815996736, 0.044917069575411035, 0.044926669212309298, 0.044934374865724519, 0.044940083291822884, 0.044943701184440195, 0.044945147544592653, 0.044944356020979501, 0.044941277132996532, 0.044935880281060547, 0.044928155447303206, 0.044918114493867706, 0.044905791976662585, 0.044891245409466082, 0.044874554936077504, 0.044855822395473359, 0.044835169794797784, 0.044812737235237494, 0.044788680363997163, 0.044763167449410578, 0.04473637619378442, 0.04470849040857678, 0.044679696678404969, 0.044650181134383952, 0.044620126444363299, 0.044589709109261244, 0.044559097132744516, 0.044528448107942001, 0.044497907741573486, 0.04446760881441076, 0.044437670558559232, 0.04440819841740367, 0.044379284143519555, 0.044351006183348585, 0.044323430294620929, 0.044296610342819183, 0.044270589225766557, 0.044245399879997926, 0.044221066328291515, 0.044197604734034446, 0.044175024434506299, 0.044153328931327548, 0.04413251682200045, 0.044112582661498603, 0.044093517747173648, 0.044075310823822184, 0.044057948708621522, 0.044041416837860441, 0.044025699739031893, 0.044010781433004367, 0.043996645771728723, 0.043983276717345671, 0.043970658568710116, 0.043958776141301226, 0.043947614906296527, 0.043937161094297975, 0.043927401768842481, 0.043918324874437233, 0.043909919263451981, 0.043902174705792107, 0.043895081884876792, 0.043888632383068352, 0.043882818659338726, 0.043877634021627379, 0.04387307259603445, 0.043869129294712775, 0.043865799784057184, 0.043863080454555441, 0.043860968393441981, 0.043859461361091992, 0.043858557771906996, 0.043858256680260492], [0.043551927245788359, 0.043552576034655066, 0.043554522112933244, 0.043557764629387222, 0.04356230221106528, 0.043568133031990128, 0.043575254909396018, 0.04358366542762112, 0.04359336208983982, 0.043604342497939381, 0.043616604561013697, 0.043630146733168118, 0.043644968281624646, 0.043661069586496716, 0.043678452474076937, 0.043697120586075409, 0.043717079787982789, 0.043738338620634823, 0.043760908800159884, 0.043784805772851494, 0.043810049333164493, 0.043836664315080841, 0.043864681369601671, 0.043894137844245007, 0.043925078784304919, 0.043957558080486736, 0.043991639793658832, 0.044027399695227863, 0.044064927071577234, 0.044104326853797775, 0.044145722150533993, 0.044189257283498685, 0.044235101453874527, 0.044283453206016808, 0.044334545906224446, 0.04438865452410358, 0.044446104099811527, 0.04450728041345587, 0.044572643559861687, 0.044642745398165803, 0.044718252230319555, 0.044799974626780495, 0.04488890715920589, 0.04498628207819623, 0.045093642954765825, 0.045212947441285928, 0.045346713398422216, 0.045498231121796393, 0.045671878985623873, 0.045873605746671514, 0.046111690658217012, 0.04639798507257388, 0.04675002732835596, 0.047194828875064279, 0.047776071568780318, 0.048568838888704134, 0.049712717287397332, 0.051495817644345944, 0.054606709105249993, 0.061097819772223477, 0.079839210405159219, 0.18621363824799872, 0.15801888661633501, 0.055451675769786921, 0.044911146770436949, 0.042754563286981198, 0.042223932012798615, 0.042140454266138626, 0.042199368893548674, 0.042303055550297591, 0.042416240448543877, 0.042525477620125908, 0.042625751536623922, 0.042715505597023598, 0.042794642410636727, 0.042863674709253542, 0.042923353364210021, 0.042974502936213438, 0.043017950055902414, 0.043054493554074549, 0.043084892921124635, 0.043109864273185583, 0.043130078949056294, 0.043146162727424289, 0.043158695026816268, 0.043168208071827016, 0.043175186242143795, 0.043180065855068742, 0.043183235572197783, 0.043185037526614602, 0.043185769172586333, 0.043185685783178815, 0.043185003469595501, 0.043183902569651503, 0.043182531247892349, 0.043181009160924336, 0.043179431062725274, 0.043177870250900162, 0.043176381782021024, 0.043175005409564676, 0.04317376821988804, 0.043172686959420455, 0.043171770059716681, 0.043171019376537764, 0.043170431665268794, 0.043169999818383521, 0.043169713891971051, 0.043169561948114957, 0.043169530738652664, 0.043169606253927233, 0.043169774157877032, 0.043170020128404908, 0.043170330119584599, 0.043170690559994153, 0.04317108849937519, 0.04317151171393431, 0.043171948778939116, 0.043172389115809624, 0.043172823019659121, 0.043173241672174879, 0.04317363714383074, 0.043174002388671411, 0.043174331234280751, 0.043174618369024906, 0.043174859328231494, 0.043175050480609795, 0.043175189015921621, 0.043175272934667976, 0.043175301040347891, 0.043175295067341343, 0.043175277138716682, 0.043175247225610822, 0.043175205279757413, 0.043175151233244495, 0.043175084998172547, 0.043175006466211606, 0.043174915508054357, 0.043174811972761379, 0.043174695686995543, 0.043174566454139376, 0.043174424053290701, 0.043174268238130059, 0.043174098735651534, 0.043173915244750685, 0.043173717434658018, 0.043173504943209359, 0.043173277374940325, 0.043173034298992566, 0.04317277524681714, 0.04317249970965837, 0.043172207135801749, 0.043171896927564395, 0.043171568438007388, 0.043171220967344937, 0.043170853759023776, 0.043170465995442414, 0.043170056793276963, 0.043169625198377332, 0.043169170180191396, 0.043168690625672752, 0.0431681853326202, 0.043167653002393225, 0.043167092231939617, 0.04316650150506525, 0.043165879182867427, 0.043165223493243636, 0.043164532519377588, 0.043163804187091918, 0.043163036250944462, 0.043162226278928739, 0.043161371635622565, 0.043160469463608908, 0.043159516662970701, 0.043158509868635571, 0.043157445425317249, 0.043156319359766791, 0.043155127350008607, 0.043153864691191562, 0.043152526257634972, 0.043151106460590977, 0.043149599201176177, 0.043147997817848484, 0.043146295027713104, 0.043144482860838072, 0.043142552586636157, 0.043140494631229098, 0.043138298484543328, 0.04313595259569477, 0.043133444254993082, 0.043130759460633897, 0.043127882767838327, 0.043124797117839335, 0.043121483643694204, 0.043117921449411629, 0.043114087358311022, 0.043109955625871867, 0.043105497611569982, 0.043100681403333195, 0.043095471387277394, 0.043089827754323753, 0.043083705934179026, 0.043077055946064931, 0.043069821654656539, 0.043061939919196303, 0.043053339624170593, 0.043043940582090795, 0.04303365230424587, 0.043022372646275273, 0.043009986356373174, 0.042996363592471429, 0.042981358544327948, 0.042964808421300418, 0.042946533291059533, 0.042926337661375207, 0.042904015444568386, 0.042879361342614317, 0.042852194368079521, 0.042822404487522378, 0.042790044108914939, 0.042755508889237341, 0.042719902926294476, 0.042685802465691494, 0.04265893247433919, 0.042652094034292716, 0.042695191001245712, 0.042863965482312569, 0.043376671984975565, 0.045005235713531655, 0.051608182885283641, 0.09754997733541762, 0.14555822592540421, 0.070929889782270716, 0.056168258879405686, 0.051256264202668295, 0.048987591443478654, 0.047729059050721626, 0.046946448229331979, 0.046420864299822222, 0.046048042502086405, 0.045772677290553516, 0.045562967239237688, 0.045399442440058925, 0.04526957065579082, 0.045164949396428657, 0.045079751973192569, 0.045009822913212018, 0.044952128568862104, 0.044904411252187172, 0.04486496474705709, 0.044832484784290583, 0.044805967277269654, 0.044784637862085586, 0.04476790251330974, 0.044755312733183922, 0.044746541112286924, 0.044741364525389536, 0.044739653194853748, 0.044741364525389501, 0.044746541112286903, 0.044755312733183943, 0.044767902513309747, 0.044784637862085565, 0.044805967277269571, 0.044832484784290631, 0.044864964747057111, 0.044904411252187207, 0.044952128568862229, 0.045009822913212039, 0.045079751973192542, 0.04516494939642858, 0.04526957065579082, 0.04539944244005889, 0.045562967239237681, 0.045772677290553385, 0.046048042502086092, 0.046420864299822617, 0.046946448229332534, 0.047729059050721515, 0.04898759144347898, 0.051256264202670487, 0.056168258879406262, 0.070929889782275504, 0.14555822592546511, 0.097549977335421756, 0.05160818288528593, 0.045005235713532321, 0.043376671984975683, 0.042863965482312347, 0.042695191001245698, 0.042652094034292737, 0.042658932474339231, 0.042685802465691494, 0.04271990292629442, 0.042755508889237327, 0.042790044108914974, 0.042822404487522385, 0.042852194368079521, 0.042879361342614303, 0.042904015444568372, 0.042926337661375241, 0.04294653329105954, 0.042964808421300411, 0.042981358544327941, 0.042996363592471443, 0.043009986356373174, 0.043022372646275266, 0.043033652304245884, 0.043043940582090809, 0.043053339624170552, 0.043061939919196282, 0.043069821654656545, 0.043077055946064903, 0.043083705934179019, 0.043089827754323767, 0.04309547138727738, 0.04310068140333316, 0.043105497611569961, 0.043109955625871818, 0.043114087358311008, 0.043117921449411629, 0.043121483643694225, 0.043124797117839342, 0.043127882767838341, 0.043130759460633897, 0.043133444254993075, 0.043135952595694749, 0.043138298484543355, 0.043140494631229084, 0.043142552586636143, 0.043144482860838058, 0.043146295027713139, 0.043147997817848525, 0.043149599201176191, 0.043151106460590963, 0.043152526257634966, 0.043153864691191535, 0.043155127350008607, 0.043156319359766826, 0.043157445425317242, 0.04315850986863555, 0.043159516662970694, 0.043160469463608908, 0.043161371635622572, 0.043162226278928753, 0.043163036250944434, 0.043163804187091884, 0.043164532519377581, 0.043165223493243643, 0.043165879182867427, 0.043166501505065229, 0.043167092231939624, 0.043167653002393239, 0.043168185332620214, 0.043168690625672718, 0.043169170180191403, 0.04316962519837729, 0.043170056793276942, 0.043170465995442414, 0.043170853759023797, 0.043171220967344916, 0.043171568438007374, 0.043171896927564381, 0.043172207135801728, 0.043172499709658391, 0.043172775246817112, 0.043173034298992594, 0.043173277374940346, 0.043173504943209366, 0.043173717434658011, 0.043173915244750692, 0.043174098735651562, 0.043174268238130038, 0.043174424053290722, 0.043174566454139369, 0.043174695686995536, 0.043174811972761372, 0.043174915508054329, 0.043175006466211613, 0.043175084998172561, 0.043175151233244488, 0.043175205279757413, 0.043175247225610829, 0.043175277138716689, 0.043175295067341343, 0.043175301040347863, 0.043175298054382749, 0.043175289098146011, 0.043175274176614487, 0.043175253298085713, 0.043175226474182288, 0.043175193719858132, 0.043175155053405877, 0.043175110496466676, 0.043175060074041295, 0.043175003814502969, 0.043174941749611964, 0.043174873914531842, 0.043174800347847313, 0.043174721091583587, 0.043174636191227606, 0.043174545695750473, 0.043174449657631855, 0.043174348132885336, 0.04317424118108578, 0.043174128865397544, 0.043174011252604609, 0.043173888413141535, 0.043173760421125855, 0.043173627354391619, 0.043173489294524026, 0.043173346326895082, 0.043173198540699807, 0.04317304602899389, 0.043172888888731414, 0.043172727220803293, 0.043172561130076254, 0.043172390725431893, 0.043172216119805838, 0.043172037430226601, 0.043171854777854422, 0.04317166828801923, 0.043171478090257849, 0.043171284318349927, 0.043171087110352752, 0.043170886608633892, 0.043170682959901896, 0.043170476315234303, 0.043170266830102666, 0.043170054664394081, 0.043169839982428362, 0.043169622952970894, 0.043169403749240005, 0.043169182548908239, 0.043168959534096739, 0.043168734891362137, 0.043168508811674715, 0.043168281490386852, 0.043168053127190749, 0.043167823926064261, 0.043167594095203224, 0.043167363846939082, 0.043167133397640292, 0.043166902967595164, 0.043166672780875173, 0.04316644306517594, 0.043166214051633824, 0.043165985974615906, 0.043165759071480118, 0.043165533582303364, 0.043165309749573631, 0.043165087817843187, 0.043164868033338737, 0.043164650643524857, 0.043164435896615262, 0.043164224041028328, 0.043164015324780279, 0.043163809994811141, 0.043163608296236465, 0.043163410471518782, 0.043163216759550302, 0.043163027394639536, 0.043162842605392958, 0.043162662613481714, 0.043162487632283433, 0.043162317865387725, 0.04316215350495356, 0.043161994729904681, 0.043161841703949246, 0.0431616945734088, 0.043161553464838645, 0.043161418482423171, 0.043161289705125644, 0.043161167183572699, 0.043161050936650153, 0.043160940947787357, 0.04316083716090352, 0.04316073947598896, 0.043160647744292568, 0.043160561763083256, 0.043160481269953886, 0.043160405936631265, 0.043160335362257211, 0.043160269066100439, 0.043160206479660165, 0.043160146938119238, 0.043160089671103193, 0.043160033792701599, 0.043159978290706037, 0.043159922015019891, 0.043159863665194712, 0.043159801777049193, 0.043159734708329782, 0.043159660623372828, 0.043159577476734781, 0.043159482995761833, 0.043159374662078379, 0.043159249691983037, 0.043159105015754602, 0.043158937255883829, 0.043158742704267311, 0.043158517298419311, 0.043158256596785821, 0.04315795575327435, 0.043157609491148094, 0.04315721207647439, 0.043156757291362868, 0.043156238407280223, 0.043155648158785545, 0.043154978718093456, 0.0431542216709382, 0.043153367994285548, 0.043152408036511436, 0.043151331500743767, 0.043147289545119455, 0.043141764128187259, 0.043134371700851971, 0.043124684535112701, 0.043112246470116133, 0.043096597505520126, 0.043077306093751919, 0.043054005409546472, 0.043026427601473106, 0.042994429324105368, 0.042958003413443968, 0.042917274617978118, 0.042872479856583753, 0.042823934241575969, 0.04277198404733859, 0.042716949125023336, 0.042659060535046936, 0.042598402281551664, 0.04253486647669795, 0.042468128979191083, 0.042397650361694045, 0.042322709248484178, 0.042242487001298221, 0.042156254186119652, 0.042063784931057509, 0.041966314741013089, 0.041868870119371994, 0.041786327616764728, 0.041760708437071616, 0.041917548080697184, 0.042689520503027177, 0.046029341272120855, 0.0670423047513585, 0.32556190447371758, 0.10962903430344176, 0.066734272410586881, 0.056438810953855605, 0.052295524610099661, 0.050161322165341256, 0.048896259636679956, 0.048076789477054835, 0.047513247217358112, 0.047109102646369548, 0.046810393647092982, 0.046584693350335576, 0.046411352992594614, 0.046276576333593653, 0.046170760043731281, 0.04608697712392304, 0.046020072644595705, 0.045966104480966698, 0.04592198691029771, 0.045885257868214076, 0.045853923854077244, 0.045826354735871148, 0.045801211140776073, 0.045777393300514377, 0.045754004017627824, 0.045730320838332644, 0.045705774118096246, 0.045679928762815944, 0.045652468201631005, 0.04562317970116115, 0.045591940526947344, 0.045558704734334314, 0.045523490553912624, 0.045486368445747015, 0.045447449948671469, 0.045406877460865171, 0.045364815069092804, 0.045321440507993721, 0.045276938287157231, 0.045231493979693886, 0.045185289626636184, 0.045138500179761572, 0.045091290882617846, 0.045043815475641361, 0.044996215105423079, 0.044948617819015178, 0.044901138530102636, 0.04485387935333375, 0.044806930214705179, 0.044760369658466879, 0.044714265783647802, 0.044668677255351417, 0.044623654347008428, 0.044579239979552432, 0.044535470731914627, 0.044492377804309861, 0.044449987921590668, 0.044408324168594859, 0.044367406753041169, 0.044327253694292926, 0.044287881438343828, 0.044249305400824494, 0.044211540440798704, 0.044174601268717764, 0.044138502792223741, 0.044103260403606237, 0.044068890212685639, 0.044035409228773685, 0.044002835495177132, 0.043971188179508229, 0.043940487622854754, 0.043910755350676983, 0.043882014048133265, 0.043854287502417842, 0.043827600514612965, 0.043801978783523592, 0.043777448763973562, 0.043754037502095736, 0.043731772450234886, 0.043710681264202848, 0.043690791585766754, 0.043672130813402939, 0.043654725864505257, 0.04363860293238328, 0.043623787241509511, 0.043610302804574584, 0.043598172184956423, 0.043587416268216758, 0.043578054046179537, 0.043570102417024532, 0.043563576004643896, 0.043558487000246289, 0.04355484502887394, 0.043552657043107401, 0.043551927245788359, 0.043552413790552684, 0.043553872645096463, 0.043556301473870275, 0.043559696396557837, 0.043564052006270941, 0.043569361394613364, 0.043575616183212373, 0.04358280656120489, 0.043590921328064344, 0.043599947941055803, 0.043609872566514454, 0.043620680134059432, 0.043632354392776226, 0.043644877968330942, 0.043658232419916815, 0.043672398295875159, 0.043687355186787222, 0.043703081774785699, 0.04371955587780034, 0.043736754487420641, 0.043754653799029264, 0.043773229232843325, 0.043792455444479773, 0.043812306323656298, 0.043832754979633314, 0.043853773712008173, 0.043875333965490863, 0.043897406267320416, 0.043919960146028364, 0.043942964030331072, 0.043966385127032971, 0.043990189276966525, 0.044014340788187438, 0.044038802245892072, 0.044063534298856642, 0.044088495422613512, 0.044113641660106867, 0.044138926341225758, 0.044164299783411957, 0.044189708976508216, 0.044215097256164251, 0.044240403971468389, 0.044265564154031579, 0.04429050819751746, 0.04431516155857404, 0.044339444492250704, 0.044363271837223939, 0.04438655286842997, 0.044409191236896309, 0.044431085018526974, 0.044452126895139457, 0.044472204491939019, 0.044491200895585711, 0.044508995375763749, 0.044525464330401651, 0.044540482470130538, 0.044553924250974312, 0.044565665555499789, 0.044575585611723929, 0.044583569126174435, 0.04458950859305482, 0.044593306726171657, 0.044594878945090122, 0.044594155833084764, 0.044591085473192453, 0.044585635561452328, 0.044577795194525836, 0.044567576233341483, 0.044555014155770852, 0.044540168329578404, 0.044523121661280536, 0.044503979605677799, 0.044482868552685281, 0.044459933640231902, 0.044435336071845716, 0.044409250042630598, 0.044381859395645762, 0.044353354140864124, 0.044323926970362797, 0.044293769896487804, 0.044263071125500486, 0.044232012259310526, 0.044200765894344116, 0.044169493661500407, 0.04413834472650021, 0.04410745474739524, 0.04407694526681942, 0.044046923501478534, 0.044017482480680187, 0.043988701479296996, 0.043960646688016171, 0.043933372064443928, 0.043906920311889884, 0.043881323937723149, 0.043856606349382543, 0.043832782952849196, 0.043809862225169534, 0.043787846739084452, 0.043766734123737536, 0.04374651795064026, 0.04372718853850411, 0.043708733674198808, 0.0436911392499982, 0.043674389819502515, 0.043658469076252912, 0.043643360260178926, 0.043629046497723672, 0.043615511081859945, 0.04360273769832046, 0.043590710604276682, 0.043579414765472314, 0.04356883595749126, 0.043558960836452672, 0.043549776984006784, 0.043541272931071073, 0.043533438164319128, 0.043526263119017389, 0.043519739161411261, 0.043513858563491999, 0.043508614472633107, 0.043504000878267321, 0.04350001257748836, 0.043496645141192822, 0.043493894882137819, 0.043491758826065076, 0.043490234686835945, 0.043489320846333133, 0.043489016339701508], [0.043777943037478811, 0.043778606502694231, 0.043780596618815587, 0.043783912561533564, 0.043788553004561893, 0.043794516191022523, 0.043801800033480644, 0.043810402242766049, 0.043820320485804046, 0.043831552572812085, 0.043844096674403511, 0.043857951569380674, 0.043873116924320908, 0.043889593606468387, 0.043907384031958548, 0.043926492552041493, 0.043946925880765812, 0.043968693568557607, 0.043991808527322693, 0.044016287614168474, 0.044042152282636665, 0.044069429312553025, 0.044098151632327276, 0.04412835925092895, 0.044160100320986967, 0.044193432359762336, 0.044228423661440995, 0.044265154942703305, 0.044303721274435111, 0.044344234366521504, 0.044386825290975471, 0.044431647752690227, 0.044478882048900117, 0.04452873990092162, 0.044581470399039883, 0.044637367379484268, 0.044696778659989729, 0.04476011771034915, 0.044827878545920012, 0.044900654934643097, 0.044979165447283039, 0.045064286528016521, 0.045157096733432676, 0.045258936771630127, 0.045371492287094278, 0.045496910028752731, 0.045637964077772528, 0.045798298970683445, 0.045982794186309787, 0.046198126171569244, 0.046453663436123158, 0.046762946620162067, 0.047146246214091123, 0.047635221330793183, 0.048281964870926883, 0.049178011920916906, 0.050498528039532795, 0.05261969729484918, 0.056494173375489135, 0.065237115862114295, 0.094801541805951642, 0.29326058116252196, 0.097146295102280067, 0.0504694683353046, 0.044158044928028092, 0.042726983544883461, 0.04238387379055427, 0.042359613191659422, 0.042438764673354626, 0.042549041220852381, 0.042663651584281592, 0.042772314120362871, 0.0428712751927562, 0.042959496945893752, 0.04303709263661265, 0.043104653553715122, 0.043162952291539033, 0.043212811705622682, 0.043255048389720691, 0.04329044956361177, 0.043319764380508753, 0.043343700880003229, 0.043362924691774635, 0.043378057964306445, 0.043389678126649421, 0.043398316592757662, 0.043404457688347262, 0.043408538080103386, 0.043410946907394901, 0.043412026710953469, 0.043412075152206839, 0.043411347437258982, 0.043410059306962213, 0.043408390428637415, 0.043406488021462117, 0.043404470560396334, 0.043402431426615942, 0.043400442400414192, 0.043398556921270891, 0.04339681306644512, 0.043395236222364769, 0.043393841441550868, 0.043392635491779054, 0.043391618614021257, 0.043390786012032674, 0.043390129099930716, 0.043389636535430653, 0.043389295066146326, 0.043389090215046285, 0.043389006829172717, 0.043389029513390957, 0.043389142968466909, 0.043389332250320545, 0.043389582964980584, 0.043389881411626259, 0.043390214684177739, 0.043390570740200342, 0.043390938444407501, 0.043391307592779066, 0.043391668922230363, 0.043392014109855589, 0.043392335765006035, 0.043392627416829171, 0.043392883499366819, 0.04339309933587733, 0.043393271123687634, 0.043393395920584513, 0.04339347163350836, 0.043393497010104393, 0.043393491444859031, 0.043393474740069909, 0.043393446868531027, 0.043393407784742516, 0.043393357424675191, 0.043393295705438449, 0.043393222524850061, 0.04339313776090481, 0.043393041271138716, 0.043392932891884964, 0.04339281243741671, 0.043392679698971252, 0.043392534443649704, 0.043392376413183907, 0.043392205322564416, 0.043392020858518385, 0.043391822677828928, 0.043391610405483443, 0.043391383632639023, 0.043391141914390502, 0.043390884767325284, 0.043390611666848676, 0.043390322044258953, 0.043390015283552158, 0.043389690717932153, 0.043389347626000115, 0.043388985227594122, 0.043388602679246407, 0.043388199069223102, 0.043387773412105507, 0.043387324642869658, 0.043386851610414251, 0.04338635307048247, 0.043385827677916156, 0.04338527397817464, 0.043384690398041909, 0.04338407523543715, 0.043383426648233539, 0.043382742641978458, 0.043382021056396547, 0.043381259550540702, 0.043380455586440513, 0.043379606411078929, 0.043378709036505876, 0.043377760217872909, 0.043376756429145978, 0.043375693836219753, 0.043374568267121931, 0.04337337517895222, 0.043372109621153392, 0.043370766194655616, 0.04336933900637055, 0.043367821618437934, 0.043366206991540812, 0.043364487421506684, 0.04336265446829482, 0.043360698876337422, 0.043358610485043296, 0.04335637812809276, 0.043353989519937575, 0.043351431127672778, 0.043348688026155928, 0.043345743733910057, 0.043342580026951287, 0.043339176727219653, 0.043335511461753531, 0.043331559388126183, 0.043327292880943252, 0.043322681173381047, 0.043317689946817846, 0.043312280860591482, 0.043306411012820609, 0.043300032322124885, 0.043293090819077631, 0.043285525835541336, 0.043277269080049613, 0.043268243588771613, 0.043258362545476478, 0.043247527972295245, 0.043235629309401113, 0.043222541932013261, 0.043208125707980341, 0.043192223797543138, 0.043174662073040736, 0.043155249853729066, 0.043133783229264179, 0.04311005331656706, 0.0430838638205479, 0.043055066200326106, 0.043023628611959887, 0.04298977114546474, 0.042954235357230169, 0.042918837267041279, 0.042887650727452001, 0.042869688114534954, 0.042885448741937102, 0.042984605267698726, 0.043300776753052023, 0.044257573994811859, 0.047610160417816245, 0.064982318990158175, 0.18126804315506345, 0.092083880195033552, 0.061482331372864955, 0.053496183031462086, 0.050253351517487423, 0.048583943381468195, 0.04759445750257621, 0.046951544720644903, 0.046506284611987109, 0.046183280924569955, 0.045940687039114809, 0.045753584962826097, 0.045606290639317287, 0.045488480109401527, 0.045393103494241402, 0.045315197986208686, 0.045251180632890929, 0.045198410341431863, 0.045154907564731075, 0.045119169848057271, 0.045090047605840559, 0.045066658888670133, 0.045048330107517368, 0.045034554524215238, 0.045024963267197043, 0.045019305488481959, 0.045017435491153016, 0.045019305488481931, 0.04502496326719703, 0.045034554524215245, 0.045048330107517368, 0.045066658888670112, 0.045090047605840476, 0.045119169848057319, 0.04515490756473111, 0.045198410341431898, 0.045251180632891075, 0.045315197986208713, 0.045393103494241395, 0.045488480109401465, 0.04560629063931728, 0.045753584962826041, 0.045940687039114809, 0.046183280924569831, 0.046506284611986755, 0.046951544720645381, 0.047594457502576903, 0.048583943381468028, 0.050253351517487908, 0.053496183031465284, 0.061482331372865934, 0.092083880195041837, 0.18126804315503153, 0.064982318990159757, 0.047610160417817383, 0.044257573994812241, 0.043300776753052113, 0.042984605267698595, 0.042885448741937081, 0.042869688114534954, 0.042887650727452042, 0.042918837267041293, 0.042954235357230128, 0.042989771145464713, 0.043023628611959915, 0.043055066200326106, 0.043083863820547907, 0.043110053316567074, 0.043133783229264151, 0.043155249853729115, 0.043174662073040757, 0.043192223797543103, 0.043208125707980341, 0.043222541932013268, 0.04323562930940112, 0.043247527972295231, 0.043258362545476485, 0.043268243588771647, 0.043277269080049571, 0.043285525835541308, 0.043293090819077625, 0.043300032322124878, 0.043306411012820602, 0.043312280860591489, 0.043317689946817839, 0.04332268117338102, 0.043327292880943225, 0.043331559388126141, 0.043335511461753518, 0.04333917672721966, 0.043342580026951308, 0.043345743733910064, 0.043348688026155949, 0.043351431127672792, 0.043353989519937575, 0.043356378128092739, 0.043358610485043338, 0.043360698876337422, 0.043362654468294813, 0.043364487421506663, 0.043366206991540847, 0.043367821618437961, 0.04336933900637055, 0.043370766194655609, 0.043372109621153385, 0.043373375178952192, 0.043374568267121952, 0.043375693836219788, 0.043376756429145971, 0.043377760217872888, 0.043378709036505862, 0.04337960641107895, 0.043380455586440513, 0.043381259550540716, 0.043382021056396554, 0.04338274264197841, 0.043383426648233539, 0.043384075235437164, 0.043384690398041909, 0.04338527397817462, 0.043385827677916169, 0.043386353070482483, 0.043386851610414265, 0.043387324642869624, 0.0433877734121055, 0.043388199069223088, 0.043388602679246421, 0.043388985227594129, 0.043389347626000135, 0.043389690717932125, 0.043390015283552137, 0.043390322044258932, 0.043390611666848655, 0.043390884767325312, 0.043391141914390502, 0.043391383632639044, 0.04339161040548347, 0.043391822677828928, 0.043392020858518364, 0.043392205322564416, 0.043392376413183942, 0.043392534443649697, 0.043392679698971273, 0.043392812437416689, 0.043392932891884957, 0.043393041271138723, 0.04339313776090481, 0.043393222524850061, 0.043393295705438449, 0.043393357424675177, 0.043393407784742537, 0.043393446868531048, 0.043393474740069937, 0.043393491444859024, 0.043393497010104351, 0.043393494228004342, 0.043393485883452598, 0.043393471981695256, 0.043393452531478652, 0.043393427545053972, 0.043393397038183713, 0.043393361030149305, 0.04339331954376132, 0.043393272605370951, 0.043393220244883221, 0.043393162495772332, 0.043393099395098146, 0.043393030983524969, 0.04339295730534147, 0.043392878408482556, 0.04339279434455276, 0.043392705168851325, 0.043392610940398507, 0.043392511721963845, 0.043392407580095202, 0.043392298585150098, 0.043392184811327471, 0.043392066336701202, 0.043391943243254662, 0.043391815616916504, 0.043391683547597169, 0.043391547129226479, 0.043391406459792135, 0.043391261641378506, 0.043391112780206222, 0.043390959986672077, 0.043390803375389031, 0.043390643065226324, 0.043390479179349149, 0.04339031184525835, 0.04339014119482891, 0.043389967364347921, 0.04338979049455087, 0.043389610730656808, 0.043389428222401286, 0.043389243124066779, 0.043389055594510902, 0.043388865797190763, 0.043388673900183861, 0.043388480076204522, 0.043388284502615435, 0.043388087361433507, 0.043387888839329272, 0.043387689127619054, 0.043387488422249036, 0.043387286923770377, 0.043387084837303858, 0.043386882372493447, 0.043386679743447211, 0.043386477168664159, 0.043386274870945568, 0.043386073077289387, 0.043385872018765329, 0.04338567193036913, 0.043385473050853995, 0.043385275622536294, 0.043385079891073403, 0.043384886105210838, 0.04338469451649557, 0.043384505378952366, 0.043384318948719344, 0.043384135483638987, 0.043383955242800573, 0.043383778486028826, 0.043383605473314435, 0.043383436464180476, 0.043383271716978915, 0.043383111488111047, 0.043382956031164356, 0.043382805595958696, 0.043382660427492947, 0.043382520764783931, 0.043382386839587277, 0.043382258874989914, 0.043382137083862848, 0.043382021667162235, 0.043381912812064639, 0.043381810689922841, 0.043381715454026644, 0.043381627237151395, 0.043381546148876869, 0.043381472272656929, 0.043381405662619207, 0.043381346340072124, 0.043381294289696636, 0.043381249455395454, 0.043381211735774208, 0.043381180979224776, 0.043381156978580138, 0.043381139465309172, 0.04338112810321542, 0.043381122481606478, 0.043381122107894028, 0.043381126399586682, 0.043381134675635286, 0.043381146147088163, 0.04338115990701525, 0.043381174919656901, 0.043381190008755878, 0.043381203845029567, 0.043381214932742433, 0.04338122159534049, 0.043381221960112987, 0.043381213941851328, 0.043381195225482179, 0.043381163247659657, 0.04338111517731056, 0.043381047895141925, 0.043380957972132796, 0.043380841647053185, 0.043380694803072897, 0.043380512943551219, 0.043380291167126495, 0.043380024142260727, 0.043379706081433114, 0.043379330715221126, 0.043378891266557779, 0.043378380425507741, 0.043377790324965387, 0.043377112517740846, 0.04337633795556825, 0.04337545697063902, 0.043374459260333828, 0.043370653024998949, 0.043365363079901374, 0.043358208148713002, 0.043348764205121945, 0.043336580043054476, 0.043321201375392908, 0.043302202424174221, 0.04327922158878262, 0.043251995598200303, 0.043220385648499671, 0.043184390070812546, 0.043144140617502998, 0.043099882080582283, 0.043051936575744514, 0.043000654808153023, 0.042946358205920736, 0.042889278199421774, 0.042829500718567427, 0.042766923622993197, 0.042701232484521581, 0.042631898161287513, 0.042558201266734458, 0.042479298153110349, 0.042394368011522375, 0.042302940075392009, 0.042205646014856317, 0.042106029402084896, 0.042015165923994145, 0.04196449031662821, 0.042045922812815523, 0.042561397737557238, 0.044754139265671115, 0.056553516951658972, 0.20121446701958326, 0.15016706909397995, 0.073234855616287842, 0.058779336280873701, 0.05354218844048976, 0.050988114918549467, 0.049523278753748901, 0.04859487538112485, 0.047966171993989774, 0.047520411954820346, 0.047193836237138874, 0.046948820385828677, 0.046761751808784974, 0.046617041018008114, 0.046503943788429238, 0.046414774798357893, 0.04634385513260883, 0.046286867857555716, 0.046240450872061474, 0.046201933009738683, 0.046169159348462073, 0.046140373434301385, 0.046114136435912341, 0.046089270474188364, 0.046064817776409396, 0.046040010090982783, 0.046014244631135945, 0.045987064064875197, 0.045958138944893027, 0.045927251596959331, 0.045894280929864001, 0.045859187938241203, 0.045822001871461168, 0.045782807160081131, 0.045741731245434555, 0.045698933465062611, 0.045654595122232217, 0.045608910824999481, 0.045562081129940972, 0.0455143064759004, 0.045465782349378134, 0.04541669558866443, 0.045367221709697599, 0.045317523122689829, 0.045267748103645242, 0.045218030387309711, 0.045168489255981326, 0.045119230010184058, 0.045070344720885488, 0.045021913177434009, 0.044974003959728705, 0.044926675576627148, 0.044879977624815756, 0.044833951933076641, 0.044788633666023731, 0.044744052368971735, 0.044700232941762369, 0.044657196534250522, 0.044614961359909888, 0.044573543426839751, 0.044532957187488668, 0.044493216109820197, 0.044454333173555537, 0.044416321295653427, 0.04437919368942906, 0.044342964161744942, 0.044307647352596097, 0.044273258921212963, 0.044239815682553793, 0.044207335697791728, 0.044175838322138873, 0.044145344213115903, 0.04411587530217019, 0.04408745473239447, 0.044060106764989213, 0.04403385665705678, 0.044008730513309002, 0.043984755114312456, 0.043961957723973044, 0.043940365879078222, 0.043920007163853261, 0.043900908972641574, 0.043883098263974872, 0.043866601309450082, 0.043851443440954881, 0.043837648799888343, 0.04382524009207063, 0.043814238352045974, 0.043804662720423118, 0.043796530237775196, 0.043789855658430868, 0.043784651287220595, 0.043780926841913918, 0.043778689343683917, 0.043777943037478811, 0.04377844058811866, 0.043779932450215046, 0.043782416258103737, 0.043785888081631121, 0.043790342444874349, 0.043795772351928323, 0.04380216931934551, 0.043809523414701193, 0.043817823300650351, 0.043827056283742893, 0.043837208367167452, 0.043848264306507442, 0.043860207667513439, 0.043873020884820896, 0.043886685320479166, 0.043901181321094801, 0.043916488272345358, 0.043932584649568646, 0.043949448063095982, 0.043967055296962182, 0.043985382339594772, 0.044004404405062321, 0.04402409594343918, 0.044044430638834085, 0.044065381393619672, 0.044086920297401411, 0.044109018579277411, 0.044131646541964997, 0.044154773476413119, 0.044178367555589383, 0.044202395706227401, 0.044226823457461067, 0.044251614765463403, 0.044276731813458016, 0.044302134786807966, 0.044327781623312586, 0.044353627739383991, 0.044379625733454095, 0.044405725068793887, 0.044431871738938131, 0.044458007920116574, 0.044484071616515596, 0.044509996305842126, 0.044535710594537758, 0.044561137894081539, 0.044586196132097682, 0.044610797514393223, 0.044634848356509084, 0.044658249005756934, 0.044680893876871568, 0.044702671626135095, 0.044723465489870003, 0.044743153813272749, 0.044761610794340378, 0.04477870746480897, 0.044794312925255264, 0.044808295844557387, 0.044820526224605757, 0.044830877419498961, 0.044839228384652527, 0.044845466115745934, 0.044849488220977958, 0.0448512055537236, 0.044850544817672269, 0.044847451044344962, 0.044841889835055576, 0.044833849257307302, 0.044823341290399887, 0.044810402727282962, 0.044795095459374712, 0.044777506097385823, 0.044757744912584586, 0.044735944117218852, 0.044712255537308364, 0.044686847762927459, 0.044659902887761095, 0.044631612968967303, 0.044602176348786819, 0.044571793980367799, 0.044540665892301004, 0.044508987910594815, 0.044476948735095265, 0.044444727441872584, 0.044412491456147701, 0.044380395014041521, 0.044348578107569578, 0.044317165887155993, 0.0442862684802698, 0.044255981173851593, 0.044226384901841935, 0.044197546976864746, 0.044169522006269946, 0.044142352936526047, 0.044116072175580723, 0.044090702749551069, 0.044066259457339434, 0.044042749993996745, 0.04402017602049698, 0.04399853416380186, 0.043977816936527775, 0.043958013570122502, 0.0439391107592167, 0.043921093317782607, 0.04390394474998649, 0.043887647740251605, 0.043872184568155177, 0.043857537454457647, 0.043843688844892363, 0.043830621638413128, 0.043818319366465006, 0.043806766329574719, 0.043795947697190245, 0.043785849576278048, 0.043776459053733008, 0.043767764217195172, 0.043759754158414203, 0.043752418962864192, 0.043745749688899611, 0.043739738339356883, 0.043734377828151122, 0.043729661944088352, 0.043725585313818136, 0.043722143365574118, 0.043719332295105155, 0.043717149034968435, 0.043715591228145924, 0.043714657206752452, 0.043714345976417518], [0.043576128833455435, 0.043576800204806344, 0.04357881405129195, 0.043582169584889238, 0.043586865541167939, 0.04359290025275666, 0.043600271752317447, 0.043608977905192768, 0.043619016571987315, 0.043630385801491908, 0.043643084054558225, 0.043657110459793029, 0.043672465102285001, 0.043689149347016426, 0.043707166199159785, 0.043726520704144338, 0.043747220391225472, 0.043769275765329921, 0.043792700853225536, 0.043817513811636441, 0.043843737606845803, 0.04387140077770716, 0.043900538296914975, 0.04393119254903808, 0.04396341444837449, 0.04399726472541593, 0.044032815417964756, 0.044070151612182785, 0.044109373490719306, 0.044150598760415362, 0.044193965552100187, 0.044239635911340336, 0.044287800033950317, 0.044338681446903755, 0.044392543398634479, 0.044449696809327852, 0.044510510251533283, 0.044575422598934364, 0.044644959218465986, 0.044719752921940699, 0.044800571390540875, 0.044888353522295601, 0.04498425826380123, 0.045089731195751895, 0.045206596824338072, 0.045337188842228121, 0.045484537734881085, 0.045652647183118469, 0.045846911891380154, 0.046074768006344531, 0.04634674041205622, 0.046678196815470481, 0.047092425408971912, 0.047626344210850276, 0.04834183789922978, 0.049350266157507997, 0.050871575072103346, 0.05339939604928972, 0.058268866517758387, 0.07035019488940629, 0.12034690362029898, 0.31974663382770885, 0.070829161172234714, 0.04732067383641915, 0.043347932675089337, 0.042383605956950232, 0.042167886593575302, 0.042183092897088936, 0.042273976240810959, 0.042386268638971353, 0.042499387922649873, 0.04260538499799349, 0.04270141955057747, 0.042786807617416933, 0.042861785903135177, 0.042926973062332729, 0.042983130363483064, 0.043031055760800033, 0.04307153834324022, 0.043105339798805056, 0.043133187356847937, 0.043155771026808565, 0.043173741993055036, 0.043187711004884319, 0.04319824654789662, 0.043205872992193924, 0.043211069036012351, 0.043214266738122759, 0.043215851338917755, 0.043216161956950362, 0.043215493143237423, 0.043214097194655507, 0.043212187075463981, 0.043209939771303656, 0.043207499898185973, 0.04320498340371387, 0.043202481222692622, 0.043200062778900636, 0.043197779254879956, 0.043195666579329203, 0.043193748105394073, 0.043192036972179354, 0.043190538156143432, 0.043189250229105469, 0.043188166846039384, 0.043187277989358883, 0.043186570997717104, 0.043186031407061037, 0.043185643630321277, 0.043185391500086739, 0.043185258696228121, 0.043185229077919517, 0.043185286937020811, 0.043185417187428098, 0.043185605502833888, 0.04318583841339433, 0.043186103370087187, 0.043186388784052877, 0.043186684046933398, 0.043186979537136537, 0.043187266616037535, 0.043187537617364338, 0.043187785832377548, 0.043188005492928158, 0.043188191754043571, 0.0431883406773345, 0.0431884492162204, 0.043188515203727004, 0.043188537343402937, 0.043188532279757268, 0.043188517080453882, 0.043188491720348811, 0.043188456157385563, 0.043188410332369684, 0.043188354168650744, 0.043188287571710511, 0.043188210428654034, 0.043188122607600916, 0.043188023956972826, 0.043187914304672545, 0.043187793457149418, 0.043187661198345613, 0.043187517288515061, 0.043187361462909267, 0.043187193430319397, 0.043187012871466299, 0.043186819437226576, 0.043186612746683499, 0.043186392384988587, 0.04318615790101886, 0.043185908804814072, 0.043185644564774181, 0.043185364604597452, 0.043185068299936527, 0.043184754974746789, 0.043184423897299727, 0.043184074275829855, 0.043183705253781554, 0.043183315904616812, 0.043182905226142473, 0.043182472134309147, 0.043182015456429822, 0.04318153392375973, 0.043181026163372216, 0.043180490689258423, 0.043179925892569429, 0.043179330030910318, 0.043178701216584583, 0.043178037403675686, 0.043177336373837701, 0.043176595720652106, 0.043175812832389859, 0.043174984872996959, 0.04317410876109954, 0.043173181146797357, 0.043172198385984725, 0.043171156511903508, 0.04317005120359306, 0.043168877750856503, 0.043167631015311174, 0.043166305387029737, 0.04316489473621013, 0.043163392359231653, 0.043161790918362343, 0.043160082374274315, 0.043158257910399886, 0.043156307848015593, 0.043154221550772365, 0.043151987317193878, 0.043149592259435869, 0.043147022166331185, 0.043144261348434208, 0.043141292462414403, 0.043138096311725528, 0.0431346516199844, 0.043130934772925025, 0.043126919524135554, 0.043122576659039298, 0.043117873610733375, 0.043112774020365868, 0.043107237233727273, 0.04310121772470852, 0.043094664435330145, 0.043087520021350016, 0.043079719992328895, 0.04307119173601625, 0.043061853419959856, 0.043051612769964782, 0.043040365738225936, 0.043027995098480015, 0.043014369049840857, 0.042999339990084741, 0.042982743759953396, 0.042964399911722739, 0.042944114009573209, 0.042921683801366593, 0.042896912655017778, 0.042869636623433099, 0.04283977734884481, 0.042807444926828191, 0.042773140117629678, 0.042738161559161172, 0.042705456395731645, 0.04268148863634779, 0.042680625350666163, 0.042736380652029456, 0.042933853831466584, 0.0435199947041333, 0.045380414974361905, 0.05306099075815314, 0.10826417457689189, 0.14097141178223532, 0.070432507098539016, 0.056247969835410368, 0.051405252496047334, 0.04913866083436981, 0.047871689678557483, 0.047080148588323822, 0.046547002661305244, 0.046168132149378399, 0.045888023068674157, 0.045674631186293876, 0.04550828075540083, 0.045376279378247224, 0.045270103990643552, 0.045183838822275876, 0.045113263897552033, 0.045055300404944786, 0.045007661067863851, 0.044968623059941787, 0.044936876783417089, 0.044911423114384889, 0.044891502533512123, 0.044876545845889952, 0.044866139970699319, 0.04486000462893884, 0.044857977272959329, 0.04486000462893882, 0.044866139970699312, 0.044876545845889966, 0.04489150253351213, 0.044911423114384889, 0.044936876783416999, 0.044968623059941835, 0.045007661067863872, 0.045055300404944841, 0.045113263897552186, 0.045183838822275911, 0.045270103990643559, 0.04537627937824714, 0.045508280755400816, 0.045674631186293807, 0.045888023068674164, 0.04616813214937826, 0.046547002661304862, 0.047080148588324378, 0.047871689678558281, 0.049138660834369643, 0.051405252496048048, 0.056247969835415683, 0.070432507098540986, 0.14097141178225825, 0.10826417457683112, 0.053060990758153244, 0.045380414974362522, 0.043519994704133494, 0.042933853831466667, 0.042736380652029372, 0.042680625350666156, 0.042681488636347811, 0.042705456395731686, 0.042738161559161186, 0.042773140117629636, 0.042807444926828156, 0.042839777348844837, 0.042869636623433106, 0.042896912655017778, 0.0429216838013666, 0.042944114009573195, 0.042964399911722774, 0.04298274375995341, 0.042999339990084727, 0.043014369049840837, 0.043027995098480022, 0.04304036573822595, 0.043051612769964775, 0.043061853419959856, 0.04307119173601627, 0.043079719992328853, 0.043087520021349988, 0.043094664435330159, 0.043101217724708506, 0.043107237233727259, 0.043112774020365889, 0.043117873610733368, 0.043122576659039263, 0.043126919524135519, 0.043130934772924991, 0.0431346516199844, 0.043138096311725514, 0.043141292462414438, 0.043144261348434229, 0.043147022166331192, 0.043149592259435869, 0.043151987317193878, 0.043154221550772337, 0.043156307848015621, 0.043158257910399886, 0.043160082374274295, 0.043161790918362343, 0.043163392359231695, 0.043164894736210151, 0.043166305387029744, 0.043167631015311167, 0.043168877750856489, 0.043170051203593025, 0.043171156511903508, 0.043172198385984753, 0.043173181146797364, 0.043174108761099526, 0.043174984872996952, 0.043175812832389866, 0.043176595720652119, 0.043177336373837694, 0.043178037403675679, 0.043178701216584563, 0.043179330030910325, 0.043179925892569429, 0.043180490689258423, 0.043181026163372195, 0.04318153392375973, 0.043182015456429836, 0.043182472134309161, 0.043182905226142446, 0.043183315904616798, 0.043183705253781506, 0.043184074275829855, 0.043184423897299741, 0.043184754974746803, 0.043185068299936506, 0.043185364604597445, 0.043185644564774139, 0.043185908804814058, 0.04318615790101888, 0.043186392384988566, 0.04318661274668352, 0.04318681943722659, 0.043187012871466299, 0.043187193430319397, 0.043187361462909281, 0.043187517288515082, 0.043187661198345606, 0.043187793457149445, 0.043187914304672552, 0.043188023956972833, 0.043188122607600937, 0.043188210428654013, 0.043188287571710504, 0.043188354168650758, 0.043188410332369649, 0.04318845615738557, 0.043188491720348818, 0.043188517080453903, 0.043188532279757268, 0.043188537343402895, 0.043188534812080154, 0.043188527219932764, 0.043188514572424258, 0.043188496878663524, 0.043188474151409369, 0.043188446407077176, 0.043188413665746758, 0.043188375951172593, 0.043188333290795765, 0.043188285715757266, 0.043188233260913714, 0.043188175964854192, 0.043188113869919366, 0.043188047022221752, 0.043187975471668152, 0.043187899271983313, 0.043187818480735565, 0.043187733159363591, 0.043187643373205166, 0.043187549191526772, 0.043187450687555272, 0.04318734793851043, 0.043187241025638715, 0.04318713003424856, 0.043187015053746489, 0.043186896177674204, 0.043186773503746577, 0.043186647133890664, 0.043186517174284796, 0.043186383735398542, 0.043186246932032962, 0.043186106883360838, 0.043185963712966867, 0.043185817548887555, 0.043185668523650841, 0.043185516774314453, 0.043185362442503733, 0.043185205674447537, 0.043185046621012871, 0.043184885437737186, 0.04318472228485809, 0.043184557327340341, 0.04318439073489902, 0.04318422268201913, 0.043184053347970042, 0.043183882916815138, 0.043183711577415393, 0.043183539523426018, 0.043183366953285715, 0.043183194070197259, 0.04318302108209883, 0.043182848201624345, 0.043182675646052313, 0.043182503637241264, 0.043182332401550894, 0.043182162169746727, 0.043181993176887486, 0.0431818256621921, 0.043181659868885537, 0.043181496044020606, 0.043181334438273385, 0.043181175305709821, 0.043181018903520503, 0.043180865491720836, 0.043180715332812696, 0.043180568691404603, 0.043180425833785702, 0.043180287027450096, 0.043180152540565751, 0.043180022641384111, 0.043179897597583748, 0.043179777675542756, 0.043179663139533142, 0.043179554250830199, 0.043179451266728973, 0.043179354439459736, 0.043179264014993585, 0.043179180231727989, 0.043179103319042157, 0.043179033495710534, 0.043178970968162526, 0.043178915928574702, 0.043178868552781316, 0.043178828997988208, 0.043178797400272508, 0.043178773871851303, 0.04317875849809958, 0.043178751334297161, 0.043178752402082313, 0.04317876168558947, 0.043178779127244986, 0.043178804623195177, 0.043178838018338314, 0.043178879100930385, 0.043178927596733988, 0.043178983162676002, 0.04317904537998133, 0.043179113746745081, 0.043179187669906464, 0.043179266456586603, 0.043179349304749717, 0.043179435293149521, 0.043179523370519335, 0.043179612343967978, 0.043179700866542096, 0.04317978742391871, 0.04317987032019497, 0.04317994766274439, 0.043180017346115616, 0.043180077034955883, 0.043180124145950495, 0.043180155828778502, 0.043180168946100772, 0.04318016005260876, 0.0431801253731844, 0.043180060780239941, 0.043179961770335305, 0.043179823440197815, 0.043179640462303798, 0.043179407060219804, 0.043179116983943104, 0.043178763485529653, 0.043178339295348506, 0.043177836599358102, 0.04317724701785923, 0.043176561586242404, 0.043175770738309742, 0.043174864292816945, 0.043171340166283885, 0.043166349106780626, 0.043159517243870058, 0.043150430270466583, 0.043138648752210705, 0.04312373150235653, 0.043105266030282932, 0.043082902895093943, 0.043056388765815336, 0.043025592032670042, 0.042990515550106495, 0.042951293266951435, 0.042908170064822587, 0.042861466154558686, 0.042811528900046074, 0.042758676584084956, 0.042703140442319307, 0.04264501228821016, 0.042584204273631229, 0.042520425123637892, 0.042453175382199212, 0.042381765445043761, 0.042305367780333995, 0.042223134739567708, 0.042134460382660423, 0.042039578496878359, 0.041940983822205784, 0.041846996348201194, 0.041781403282189725, 0.041812516876047603, 0.042155628301750639, 0.043631802032505287, 0.050736330125736404, 0.11659373864888532, 0.229729750961086, 0.082171889781471538, 0.061150809761573686, 0.054461155924462941, 0.051400392523224772, 0.04970910877559756, 0.048662736003579454, 0.04796593958136227, 0.04747794811171846, 0.047123793257219659, 0.046860081079219053, 0.046659992696996139, 0.046506041936247501, 0.046386301963459213, 0.046292315644909758, 0.046217879560093447, 0.046158307225915282, 0.046109967743544422, 0.046069989080451033, 0.046036062999927532, 0.046006314359685462, 0.045979211903510335, 0.045953506052310307, 0.045928184267225912, 0.045902437740371366, 0.045875635248533907, 0.045847301415325024, 0.045817097612134566, 0.045784804427200912, 0.045750305126694611, 0.045713569872195478, 0.045674640679414909, 0.045633617229649232, 0.045590643700436514, 0.045545896785027649, 0.04549957503914101, 0.045451889643086295, 0.045403056609801498, 0.045353290413603045, 0.045302798966423821, 0.04525177983123288, 0.045200417537264545, 0.045148881848115358, 0.045097326830190909, 0.045045890573364201, 0.044994695425881748, 0.044943848619487525, 0.044893443176670676, 0.044843559008477182, 0.044794264127422469, 0.044745615914989094, 0.044697662396571886, 0.044650443488328001, 0.04460399219017748, 0.044558335707240222, 0.044513496488447449, 0.044469493176107155, 0.044426341464032792, 0.044384054864668926, 0.044342645387638137, 0.04430212413346931, 0.044262501807085977, 0.044223789156058763, 0.044185997338767123, 0.044149138227548387, 0.044113224651709824, 0.044078270584996311, 0.044044291281779238, 0.044011303365898834, 0.043979324875772011, 0.043948375269093523, 0.043918475390212396, 0.043889647403078512, 0.043861914692518475, 0.043835301736520851, 0.043809833952188834, 0.043785537518046203, 0.043762439175452014, 0.043740566011989147, 0.043719945229827813, 0.043700603902216265, 0.043682568721408889, 0.043665865741492928, 0.043650520119704189, 0.043636555859927623, 0.043623995562130036, 0.043612860181483103, 0.043603168800876391, 0.043594938420397619, 0.043588183767165535, 0.043582917128629467, 0.043579148212117884, 0.043576884033011805, 0.043576128833455435, 0.043576632312805223, 0.043578141959268596, 0.043580655401967837, 0.043584168702308815, 0.04358867637306979, 0.043594171404695785, 0.043600645298376789, 0.043608088105370583, 0.043616488471924522, 0.043625833689047135, 0.043636109746282424, 0.043647301388552065, 0.04365939217504694, 0.043672364539075276, 0.043686199847706324, 0.043700878459986436, 0.043716379782453733, 0.043732682320624203, 0.043749763725083719, 0.0437676008307816, 0.043786169688087559, 0.043805445584148867, 0.043825403053057127, 0.043846015873320515, 0.043867257051122106, 0.043889098787841099, 0.043911512430320709, 0.043934468402386136, 0.043957936116151369, 0.043981883861718446, 0.04400627867396293, 0.044031086175235386, 0.04405627039299493, 0.044081793551639596, 0.044107615838134731, 0.044133695141470017, 0.044159986766526417, 0.044186443123627649, 0.04421301339590545, 0.044239643187652486, 0.044266274158089529, 0.044292843646456845, 0.044319284296063903, 0.044345523686901908, 0.044371483988630375, 0.044397081648162133, 0.04442222712863627, 0.044446824719201861, 0.044470772437610356, 0.044493962049966376, 0.044516279233897893, 0.044537603912614354, 0.044557810787517513, 0.044576770095870757, 0.044594348617163326, 0.044610410946886087, 0.044624821049178282, 0.044637444090031911, 0.044648148540435133, 0.044656808524204429, 0.044663306368772852, 0.044667535299660326, 0.044669402201851262, 0.044668830355226306, 0.044665762038118735, 0.044660160884627646, 0.044652013879043766, 0.044641332875814316, 0.044628155546554901, 0.044612545676649608, 0.044594592762104542, 0.044574410890841132, 0.04455213692915732, 0.044527928070769919, 0.044501958839655548, 0.044474417665992597, 0.044445503174568385, 0.044415420335567099, 0.0443843766281675, 0.044352578358329647, 0.044320227254882771, 0.044287517444555023, 0.044254632879291239, 0.044221745260546237, 0.044189012477474525, 0.044156577550917266, 0.044124568054141541, 0.044093095965172698, 0.044062257894506095, 0.044032135625772933, 0.044002796905017683, 0.043974296415865095, 0.043946676882174907, 0.043919970245956459, 0.043894198875577772, 0.043869376767003095, 0.043845510708414949, 0.04382260138573859, 0.04380064441304906, 0.043779631277452408, 0.043759550192747569, 0.043740386860003547, 0.043722125136185258, 0.043704747614217929, 0.043688236119491859, 0.04367257212888323, 0.04365773711899984, 0.04364371285064738, 0.043630481596533217, 0.043618026319050304, 0.043606330804671856, 0.043595379761084754, 0.043585158882732983, 0.043575654889962206, 0.043566855546468629, 0.043558749659282074, 0.043551327065056919, 0.043544578606017584, 0.04353849609850776, 0.043533072296727322, 0.043528300853904335, 0.043524176282847139, 0.04352069391754057, 0.043517849877200407, 0.043515641033966483, 0.043514064985202688, 0.043513120031176626, 0.043512805158704745], [0.042834084018490468, 0.04283475598964067, 0.042836771651925197, 0.042840130266802459, 0.042844830653243085, 0.042850871262607435, 0.042858250283623542, 0.042866965777659263, 0.042877015844590687, 0.042888398819727239, 0.042901113502469897, 0.042915159417657583, 0.042930537110923289, 0.042947248479847516, 0.042965297143278236, 0.042984688851911715, 0.043005431944126815, 0.043027537852168486, 0.043051021665128801, 0.043075902756843067, 0.043102205488862511, 0.043129960001196906, 0.043159203106646962, 0.04318997930844938, 0.043222341965835562, 0.043256354638252822, 0.043292092646798515, 0.043329644901373345, 0.043369116054881682, 0.043410629062431934, 0.043454328245229018, 0.043500382987535925, 0.043548992233245619, 0.043600389999899916, 0.043654852197604864, 0.043712705135797281, 0.043774336233325079, 0.043840207633422931, 0.043910873690011343, 0.043987003673968107, 0.044069411608137342, 0.044159095974339035, 0.044257293301625832, 0.044365551604018692, 0.044485832734033268, 0.044620657737287024, 0.044773317644998971, 0.044948186460413077, 0.045151198488280031, 0.045390598943798613, 0.045678166844180551, 0.04603129158102532, 0.046476676535174059, 0.047057347023734666, 0.047846910475991627, 0.048981357568322254, 0.050738964719901844, 0.053776446520043548, 0.060012400477832094, 0.077446879609179065, 0.17080746234888047, 0.19331865346202859, 0.057807197126208396, 0.044848461703585231, 0.042252589215425317, 0.041592634066240496, 0.041460664698272191, 0.041499085762035509, 0.041593879816688002, 0.041703597946054452, 0.041812123399251798, 0.0419131542221306, 0.042004455161804323, 0.042085540039266456, 0.042156681128322188, 0.042218470130515759, 0.042271620572663905, 0.042316879344319193, 0.042354988111309604, 0.042386667129099775, 0.04241260852125165, 0.042433473019277627, 0.04244988756310613, 0.042462442847552129, 0.042471690709914321, 0.042478141597437055, 0.042482262444657436, 0.042484475249759686, 0.042485156538167361, 0.042484637785320425, 0.042483206765477309, 0.042481109713212589, 0.042478554133647622, 0.042475712074838863, 0.04247272367608651, 0.042469700822707082, 0.042466730764535596, 0.042463879586523277, 0.042461195451052633, 0.042458711560175576, 0.042456448810299981, 0.042454418131277059, 0.042452622516424371, 0.042451058760220303, 0.042449718926909796, 0.04244859157680269, 0.042447662778352165, 0.042446916933790463, 0.042446337444710679, 0.042445907241923993, 0.04244560920151301, 0.042445426466469406, 0.042445342690804966, 0.042445342220662784, 0.042445410224785922, 0.042445532784757073, 0.04244569695371124, 0.042445890790736816, 0.042446103376907775, 0.042446324817808835, 0.042446546236506018, 0.042446759760156223, 0.042446958502819911, 0.042447136546519548, 0.042447288922159557, 0.042447411591570748, 0.042447501431653108, 0.042447556221350706, 0.042447574631991135, 0.042447570164667513, 0.04244755675516302, 0.042447534380834581, 0.042447503003802754, 0.042447462570739468, 0.042447413012568928, 0.042447354244079874, 0.042447286163446854, 0.042447208651657152, 0.04244712157184026, 0.042447024768495191, 0.042446918066610898, 0.042446801270674177, 0.042446674163557893, 0.042446536505283773, 0.042446388031649747, 0.042446228452713883, 0.042446057451124161, 0.042445874680282943, 0.042445679762332975, 0.042445472285951094, 0.042445251803934353, 0.042445017830560282, 0.042444769838702788, 0.042444507256682085, 0.042444229464825005, 0.042443935791709395, 0.042443625510063455, 0.042443297832288229, 0.042442951905566607, 0.042442586806519779, 0.042442201535366528, 0.042441795009536355, 0.042441366056681543, 0.042440913407027277, 0.042440435684991756, 0.042439931400000623, 0.042439398936410487, 0.042438836542446776, 0.042438242318050191, 0.042437614201512187, 0.042436949954765921, 0.042436247147182853, 0.042435503137705853, 0.042434715055128823, 0.042433879776308116, 0.04243299390206353, 0.042432053730494954, 0.042431055227404188, 0.042429993993470028, 0.042428865227777286, 0.042427663687244446, 0.042426383641432718, 0.04242501882214491, 0.04242356236713999, 0.042422006757189754, 0.042420343745593315, 0.042418564279132535, 0.042416658409300666, 0.042414615192460106, 0.042412422577380038, 0.042410067278366374, 0.042407534631919083, 0.042404808434531059, 0.042401870758868414, 0.042398701745140016, 0.042395279363967531, 0.04239157914649478, 0.042387573876830273, 0.042383233241189151, 0.042378523427307926, 0.042373406666858522, 0.042367840712742043, 0.0423617782423793, 0.042355166177592864, 0.042347944911673666, 0.042340047435213794, 0.042331398355076939, 0.042321912806844331, 0.04231149527255941, 0.042300038336616663, 0.042287421450150228, 0.042273509840427562, 0.042258153818118163, 0.042241188940810262, 0.042222437857434326, 0.04220171532016409, 0.042178839068352895, 0.042153651581146381, 0.042126062127057197, 0.042096127387152037, 0.042064207279874664, 0.042031272426056573, 0.041999530794876887, 0.041973763340382532, 0.041964344604654424, 0.041994626256343405, 0.042120944433980845, 0.042494998110497333, 0.043601327098760946, 0.047483546987629188, 0.068175710174435883, 0.19190568376615524, 0.088983557448895967, 0.060269408409096219, 0.052540499793636217, 0.049350282312313518, 0.047693610304572281, 0.046706760586543272, 0.046063662355073393, 0.045617515942082826, 0.045293599614377129, 0.04505028110431334, 0.044862700127448883, 0.044715176992130644, 0.044597376258907417, 0.044502234781024858, 0.044424779954167611, 0.044361424388049464, 0.044309528545337672, 0.044267120668846277, 0.044232712537193276, 0.044205175581462294, 0.044183656210404994, 0.044167517377895218, 0.044156298274497505, 0.044149686998016135, 0.044147502952937283, 0.044149686998016094, 0.044156298274497491, 0.044167517377895225, 0.044183656210404994, 0.044205175581462287, 0.044232712537193186, 0.044267120668846333, 0.04430952854533772, 0.044361424388049506, 0.044424779954167749, 0.044502234781024906, 0.044597376258907431, 0.044715176992130574, 0.044862700127448883, 0.045050281104313271, 0.045293599614377129, 0.045617515942082638, 0.046063662355072962, 0.046706760586544008, 0.047693610304573364, 0.049350282312313379, 0.05254049979363723, 0.060269408409104525, 0.088983557448901171, 0.19190568376616093, 0.068175710174413262, 0.047483546987629612, 0.043601327098761279, 0.042494998110497492, 0.042120944433980907, 0.041994626256343356, 0.041964344604654431, 0.041973763340382553, 0.041999530794876935, 0.042031272426056573, 0.04206420727987463, 0.042096127387152016, 0.042126062127057218, 0.042153651581146388, 0.042178839068352902, 0.042201715320164104, 0.042222437857434306, 0.04224118894081029, 0.042258153818118163, 0.042273509840427534, 0.042287421450150214, 0.042300038336616663, 0.04231149527255941, 0.042321912806844324, 0.042331398355076939, 0.042340047435213801, 0.042347944911673631, 0.042355166177592836, 0.042361778242379293, 0.042367840712742015, 0.042373406666858508, 0.04237852342730794, 0.042383233241189158, 0.042387573876830231, 0.042391579146494753, 0.042395279363967503, 0.042398701745140023, 0.042401870758868407, 0.042404808434531087, 0.042407534631919097, 0.042410067278366395, 0.042412422577380052, 0.042414615192460092, 0.042416658409300631, 0.042418564279132563, 0.042420343745593315, 0.042422006757189719, 0.042423562367139969, 0.042425018822144944, 0.042426383641432752, 0.04242766368724446, 0.042428865227777272, 0.042429993993470035, 0.042431055227404153, 0.042432053730494954, 0.042432993902063558, 0.042433879776308102, 0.042434715055128809, 0.042435503137705839, 0.04243624714718286, 0.042436949954765935, 0.042437614201512201, 0.042438242318050177, 0.042438836542446734, 0.042439398936410494, 0.04243993140000063, 0.042440435684991749, 0.042440913407027249, 0.04244136605668157, 0.042441795009536376, 0.042442201535366549, 0.042442586806519744, 0.0424429519055666, 0.042443297832288202, 0.042443625510063455, 0.042443935791709395, 0.042444229464825019, 0.042444507256682071, 0.042444769838702767, 0.042445017830560261, 0.042445251803934332, 0.042445472285951115, 0.042445679762332954, 0.042445874680282956, 0.042446057451124196, 0.042446228452713883, 0.042446388031649747, 0.042446536505283794, 0.042446674163557914, 0.04244680127067417, 0.042446918066610918, 0.042447024768495198, 0.042447121571840246, 0.042447208651657152, 0.042447286163446847, 0.042447354244079867, 0.042447413012568914, 0.042447462570739454, 0.042447503003802761, 0.042447534380834602, 0.042447556755163034, 0.042447570164667534, 0.042447574631991114, 0.042447572398799371, 0.042447565701101003, 0.042447554544527595, 0.042447538938468074, 0.042447518896073504, 0.042447494434263551, 0.04244746557373464, 0.042447432338970179, 0.042447394758252564, 0.042447352863676756, 0.042447306691165976, 0.042447256280488808, 0.042447201675278379, 0.042447142923052912, 0.042447080075238196, 0.042447013187191553, 0.042446942318227564, 0.042446867531645088, 0.042446788894756136, 0.042446706478915672, 0.042446620359553468, 0.042446530616206728, 0.042446437332554099, 0.042446340596450971, 0.042446240499965718, 0.04244613713941691, 0.042446030615411218, 0.042445921032882507, 0.042445808501130791, 0.042445693133862136, 0.042445575049228766, 0.042445454369868942, 0.042445331222946941, 0.042445205740192574, 0.042445078057940157, 0.042444948317166539, 0.042444816663527958, 0.042444683247395296, 0.042444548223887685, 0.042444411752903796, 0.04244427399915008, 0.04244413513216657, 0.042443995326348349, 0.04244385476096324, 0.042443713620164289, 0.042443572092997213, 0.042443430373401293, 0.042443288660203325, 0.042443147157103789, 0.042443006072653937, 0.042442865620223473, 0.042442726017956747, 0.042442587488717105, 0.042442450260017542, 0.042442314563936302, 0.042442180637016061, 0.042442048720144732, 0.042441919058415829, 0.042441791900967051, 0.042441667500794006, 0.042441546114537251, 0.042441428002239746, 0.042441313427071803, 0.042441202655020785, 0.042441095954541617, 0.042440993596164885, 0.042440895852058333, 0.042440802995537458, 0.042440715300520404, 0.042440633040922215, 0.042440556489982809, 0.042440485919522437, 0.042440421599118719, 0.042440363795197528, 0.042440312770030533, 0.042440268780630765, 0.042440232077537811, 0.042440202903482299, 0.042440181491919901, 0.042440168065422917, 0.042440162833918077, 0.042440165992756802, 0.042440177720603989, 0.042440198177130836, 0.042440227500494233, 0.042440265804586576, 0.042440313176036359, 0.042440369670940406, 0.042440435311305355, 0.042440510081177253, 0.042440593922433434, 0.042440686730212507, 0.042440788347954686, 0.04244089856202387, 0.042441017095882348, 0.042441143603785147, 0.042441277663963523, 0.042441418771261799, 0.042441566329193353, 0.042441719641380521, 0.042441877902340983, 0.042442040187585441, 0.042442205442989114, 0.042442372473402892, 0.042442539930468995, 0.04244270629961034, 0.042442869886164816, 0.042443028800640263, 0.042443180943071326, 0.042443323986467371, 0.042443455359348417, 0.042443572227377262, 0.042443671474109476, 0.042443749680897848, 0.042443803106007323, 0.042443827663016326, 0.042443818898607266, 0.04244377196987599, 0.042443681621323094, 0.042443542161726064, 0.042443347441131832, 0.042443090828253489, 0.042442765188603793, 0.042442362863748917, 0.042441875652121291, 0.042441294791886956, 0.042440610946419113, 0.042439814192987195, 0.042436638342824434, 0.04243203226491854, 0.042425634803146255, 0.042417047456264109, 0.042405849290119271, 0.042391619309745762, 0.042373965298755902, 0.042352556171177787, 0.042327153058904443, 0.042297633468036534, 0.042264003419305189, 0.042226394377380572, 0.042185044157296403, 0.042140263088806626, 0.042092388398778345, 0.042041731362421501, 0.041988523224626637, 0.041932866489249945, 0.041874697285747976, 0.041813762521715751, 0.041749613919280587, 0.041681621952251668, 0.041609018866337846, 0.041530996164307228, 0.04144691962054655, 0.041356814508919419, 0.041262501066464549, 0.04117038587158503, 0.041098816274558671, 0.041099461426432518, 0.041328938683123602, 0.042345447445358203, 0.046842001644626041, 0.079052696938977762, 0.34713260288445141, 0.096151597054784127, 0.063734481408949648, 0.055003898710688025, 0.051305573480297746, 0.049348627894331462, 0.048170677930017766, 0.04740088637872699, 0.046869091538330576, 0.04648713975598711, 0.046205066488282445, 0.045992500596126536, 0.045829904986575402, 0.045704101823934244, 0.045605833825317445, 0.045528363847823911, 0.045466635773052863, 0.045416754042054544, 0.045375651668109813, 0.04534087356616983, 0.045310432333758616, 0.045282710410502504, 0.045256392224737874, 0.045230415737892903, 0.045203936415556839, 0.045176299003223508, 0.045147014068788294, 0.045115737374880727, 0.045082250921765266, 0.045046445048690986, 0.045008301355288258, 0.044967876443628735, 0.044925286615720088, 0.044880693715874664, 0.044834292305195804, 0.044786298316357276, 0.044736939277878966, 0.044686446131698948, 0.044635046605819684, 0.044582960051470909, 0.04453039361483109, 0.044477539587725025, 0.044424573768981616, 0.044371654666380135, 0.044318923375900043, 0.044266503987826222, 0.044214504385851408, 0.044163017323725184, 0.044112121682710066, 0.044061883831033058, 0.04401235902294387, 0.043963592789510092, 0.043915622285716112, 0.043868477568809502, 0.043822182791261946, 0.043776757298382818, 0.043732216625764875, 0.043688573395579015, 0.043645838113509146, 0.043604019870017059, 0.043563126950849428, 0.043523167362393131, 0.043484149277784725, 0.043446081409697655, 0.04340897331555077, 0.043372835640573724, 0.043337680303788532, 0.043303520631557277, 0.043270371442940693, 0.043238249090730971, 0.043207171461685637, 0.043177157939199351, 0.043148229331428256, 0.043120407767714475, 0.043093716566057726, 0.043068180074337652, 0.043043823488006096, 0.043020672647025762, 0.042998753814934863, 0.042978093443047871, 0.042958717922951029, 0.042940653330607981, 0.04292392516554288, 0.042908558088697965, 0.042894575662670492, 0.042882000098087333, 0.042870852009888619, 0.042861150187235332, 0.042852911380634504, 0.042846150109684643, 0.04284087849457309, 0.042837106114123759, 0.042834839892786136, 0.042834084018490468, 0.04283458794729967, 0.042836098949738471, 0.042838614677756646, 0.042842131230925763, 0.04284664317570544, 0.042852143571982235, 0.042858624006455029, 0.042866074632322608, 0.042874484214621249, 0.04288384018045556, 0.042894128673267029, 0.042905334610195162, 0.042917441741502318, 0.042930432710956035, 0.042944289115995349, 0.042958991566441777, 0.042974519740464366, 0.042990852436453064, 0.043007967619413258, 0.043025842460453642, 0.043044453367902448, 0.043063776008558201, 0.043083785317550818, 0.043104455495269575, 0.043125759989794635, 0.043147671463259277, 0.043170161740570749, 0.043193201738928912, 0.043216761376611755, 0.043240809459552366, 0.043265313544314322, 0.043290239776200619, 0.043315552701410819, 0.04334121505240221, 0.043367187505944024, 0.043393428413780986, 0.043419893506375574, 0.043446535570899149, 0.0434733041055115, 0.043500144953036231, 0.043526999918426713, 0.043553806375948738, 0.043580496873793027, 0.043606998745883654, 0.043633233742956294, 0.043659117697516722, 0.043684560239999143, 0.043709464586242461, 0.043733727419158534, 0.043757238890008529, 0.043779882766806513, 0.043801536758751487, 0.043822073045929201, 0.043841359042452302, 0.043859258418342394, 0.043875632400432296, 0.043890341365065859, 0.043903246725195799, 0.04391421310159635, 0.043923110752522886, 0.043929818218760228, 0.043934225122440121, 0.043936235039440753, 0.043935768348083951, 0.043932764942904559, 0.043927186693235171, 0.043919019523863359, 0.043908275000347448, 0.043894991315431106, 0.043879233595307869, 0.04386109347432026, 0.04384068792220832, 0.043818157346689847, 0.043793663032876302, 0.04376738401656572, 0.043739513517797701, 0.043710255081775409, 0.043679818584819639, 0.043648416262922089, 0.043616258910280356, 0.043583552376423633, 0.043550494465362889, 0.043517272311187433, 0.043484060274291851, 0.043451018373334156, 0.04341829124202156, 0.043386007578249987, 0.043354280036729385, 0.043323205505193911, 0.043292865698339768, 0.043263328002138925, 0.043234646503315079, 0.043206863143641194, 0.043180008945432856, 0.043154105262367209, 0.043129165017881693, 0.043105193901375849, 0.043082191499867528, 0.043060152349410345, 0.043039066896316425, 0.043018922363015591, 0.04299970351723903, 0.042981393346209235, 0.042963973639748174, 0.042947425487784421, 0.042931729698763695, 0.042916867146046381, 0.042902819049607563, 0.042889567200325815, 0.042877094133925014, 0.042865383261279089, 0.042854418961350657, 0.042844186642546134, 0.042834672777763365, 0.042825864917898124, 0.042817751688085513, 0.042810322770481211, 0.042803568876950512, 0.042797481714627113, 0.042792053946931356, 0.042787279152298144, 0.042783151782557913, 0.042779667122631738, 0.042776821252950993, 0.04277461101577678, 0.042773033986383255, 0.042772088449873631, 0.042771773384210697], [0.042283647080192638, 0.042284323252871209, 0.04228635153607941, 0.04228973124065788, 0.042294461269106652, 0.042300540192316473, 0.042307966357173155, 0.042316738025262021, 0.042326853543019641, 0.042338311543853521, 0.042351111182983653, 0.042365252406059505, 0.042380736252998749, 0.042397565198991405, 0.042415743535233787, 0.042435277792728966, 0.042456177213448736, 0.042478454274327379, 0.042502125271001584, 0.042527210969994261, 0.042553737340226064, 0.042581736377452564, 0.042611247038579741, 0.042642316307009244, 0.042675000415420501, 0.042709366259037131, 0.042745493040867201, 0.042783474201209294, 0.042823419697657017, 0.04286545871996153, 0.042909742947874252, 0.042956450491534848, 0.043005790695929337, 0.043058010047512044, 0.043113399498113242, 0.043172303627304072, 0.043235132212087406, 0.043302374981080388, 0.043374620628056852, 0.043452581591396158, 0.043537126741822189, 0.043629325073433534, 0.043730504947040637, 0.043842335699872989, 0.04396694204435031, 0.044107067572668281, 0.04426631358132882, 0.044449496573682891, 0.044663198553873726, 0.044916641643165549, 0.045223130766115623, 0.045602539445717086, 0.046085821239481364, 0.046723729316277163, 0.047605034708325264, 0.048898554912765201, 0.050963638196883924, 0.054698198730749013, 0.062974330305623646, 0.089917841290557243, 0.27454554452544883, 0.11145720463755134, 0.050884579411795833, 0.043208918148832161, 0.041465324977203732, 0.041013891890758485, 0.04094243052314079, 0.040998020993886795, 0.041095578262713033, 0.041203081668343577, 0.041307809710866811, 0.041404743823695508, 0.041492129003333468, 0.041569638393307337, 0.041637573469031679, 0.041696504269082654, 0.041747105590441994, 0.041790082916209295, 0.041826139664576545, 0.041855963003968016, 0.041880217423094564, 0.041899541031430843, 0.041914542448664042, 0.041925797585440891, 0.041933846311594053, 0.04193918929459621, 0.041942285353151018, 0.041943549614513631, 0.041943352654977277, 0.041942020682502655, 0.041939836713750858, 0.041937042617699524, 0.041933841848578575, 0.041930402670077867, 0.041926861675220979, 0.041923327425183489, 0.041919884058977265, 0.041916594758657021, 0.041913504987269215, 0.041910645446338789, 0.041908034724717318, 0.041905681630519082, 0.041903587212747548, 0.041901746489579436, 0.041900149906845555, 0.041898784553801027, 0.041897635164558009, 0.04189668493320127, 0.041895916169169101, 0.041895310817373251, 0.041894850865079651, 0.04189451865499999, 0.0418942971215161, 0.04189416996457139, 0.041894121773577278, 0.041894138111726167, 0.041894205569382108, 0.041894311793729204, 0.041894445500582619, 0.041894596473185795, 0.041894755551909087, 0.041894914618008199, 0.041895066573973974, 0.041895205322486882, 0.041895325745565738, 0.041895423685151326, 0.041895495926079614, 0.041895540182162815, 0.041895555085899032, 0.041895551176364759, 0.041895539440999496, 0.041895519859476302, 0.041895492397783535, 0.041895457008024439, 0.041895413628134211, 0.041895362181513747, 0.041895302576576823, 0.04189523470620854, 0.041895158447131299, 0.041895073659174366, 0.041894980184441932, 0.041894877846375238, 0.041894766448701014, 0.041894645774261351, 0.04189451558371534, 0.04189437561410498, 0.041894225577274923, 0.04189406515813586, 0.041893894012758871, 0.041893711766287395, 0.041893518010652837, 0.041893312302076061, 0.04189309415833746, 0.041892863055794954, 0.041892618426127716, 0.041892359652780695, 0.041892086067082134, 0.041891796944004328, 0.041891491497532733, 0.041891168875606587, 0.041890828154589013, 0.041890468333219889, 0.041890088326000309, 0.041889686955950529, 0.041889262946677899, 0.041888814913682612, 0.04188834135482189, 0.041887840639842772, 0.041887310998884403, 0.04188675050983718, 0.041886157084433648, 0.041885528452930171, 0.041884862147221293, 0.041884155482208196, 0.04188340553522097, 0.041882609123267828, 0.041881762777855658, 0.0418808627170923, 0.041879904814742637, 0.041878884565867053, 0.041877797048619068, 0.041876636881722301, 0.041875398177078527, 0.041874074486883205, 0.041872658744534046, 0.041871143198517105, 0.041869519338334486, 0.04186777781140117, 0.041865908329678257, 0.041863899564625426, 0.041861739028840932, 0.04185941294250841, 0.041856906082482867, 0.041854201611515408, 0.041851280884731952, 0.041848123230043138, 0.041844705698658599, 0.041841002781314807, 0.041836986085192637, 0.041832623965816461, 0.041827881107502622, 0.041822718045210656, 0.041817090620022188, 0.041810949360067906, 0.041804238778789568, 0.041796896583366501, 0.041788852788651291, 0.041780028737212725, 0.04177033603604427, 0.041759675438506318, 0.041747935731853682, 0.041734992746160854, 0.041720708696984313, 0.041704932242698299, 0.041687499934459471, 0.041668240266812873, 0.041646982499114686, 0.041623574201689377, 0.041597914872523588, 0.041570019617347548, 0.041540140382806789, 0.041509000808236926, 0.041478264330190293, 0.041451505170717121, 0.041436331831303831, 0.041449362852021027, 0.041528990425387477, 0.041772338131956174, 0.042461882575785447, 0.044621111176636127, 0.053634142249268518, 0.12017886197226202, 0.13535350538679444, 0.068517529306269684, 0.054887688743869581, 0.050137724931270292, 0.047891496967170058, 0.046628903830702978, 0.045837630700753813, 0.0453037575616346, 0.04492407852681099, 0.044643350563823042, 0.044429596888325949, 0.044263144615501113, 0.04413128674760633, 0.044025484627545644, 0.043939811548447116, 0.043870043020258348, 0.043813102578839462, 0.04376671224770351, 0.043729165579558534, 0.043699176757117132, 0.043675778439742859, 0.043658251840430859, 0.043646078814944617, 0.043638909552419933, 0.043636541851764313, 0.043638909552419905, 0.043646078814944617, 0.043658251840430873, 0.043675778439742866, 0.043699176757117111, 0.043729165579558457, 0.043766712247703593, 0.04381310257883949, 0.043870043020258404, 0.043939811548447304, 0.044025484627545679, 0.044131286747606344, 0.044263144615501022, 0.044429596888325935, 0.044643350563822959, 0.044924078526810997, 0.045303757561634392, 0.045837630700753321, 0.046628903830703901, 0.047891496967171425, 0.050137724931270049, 0.054887688743870976, 0.068517529306286074, 0.13535350538680768, 0.12017886197223451, 0.05363414224926006, 0.044621111176636322, 0.042461882575785675, 0.041772338131956258, 0.041528990425387532, 0.041449362852021006, 0.041436331831303831, 0.041451505170717134, 0.041478264330190341, 0.04150900080823694, 0.041540140382806748, 0.04157001961734752, 0.041597914872523609, 0.04162357420168937, 0.041646982499114707, 0.041668240266812887, 0.041687499934459429, 0.041704932242698327, 0.041720708696984334, 0.041734992746160819, 0.041747935731853675, 0.041759675438506345, 0.041770336036044277, 0.041780028737212704, 0.041788852788651305, 0.041796896583366508, 0.041804238778789519, 0.041810949360067864, 0.041817090620022188, 0.04182271804521065, 0.041827881107502608, 0.041832623965816482, 0.04183698608519263, 0.041841002781314765, 0.041844705698658585, 0.041848123230043097, 0.041851280884731952, 0.041854201611515388, 0.041856906082482895, 0.041859412942508396, 0.041861739028840945, 0.041863899564625426, 0.041865908329678257, 0.04186777781140115, 0.041869519338334514, 0.041871143198517091, 0.041872658744534011, 0.041874074486883191, 0.041875398177078547, 0.041876636881722343, 0.041877797048619075, 0.041878884565867046, 0.041879904814742637, 0.041880862717092279, 0.041881762777855672, 0.041882609123267862, 0.04188340553522097, 0.041884155482208169, 0.041884862147221286, 0.041885528452930185, 0.041886157084433669, 0.041886750509837194, 0.041887310998884396, 0.041887840639842751, 0.041888341354821904, 0.041888814913682626, 0.041889262946677892, 0.041889686955950509, 0.041890088326000309, 0.04189046833321991, 0.041890828154589034, 0.04189116887560658, 0.041891491497532712, 0.041891796944004293, 0.04189208606708212, 0.041892359652780702, 0.04189261842612773, 0.041892863055794934, 0.041893094158337453, 0.04189331230207604, 0.041893518010652817, 0.041893711766287395, 0.041893894012758844, 0.041894065158135881, 0.041894225577274943, 0.041894375614104973, 0.04189451558371534, 0.041894645774261358, 0.041894766448701028, 0.041894877846375217, 0.041894980184441953, 0.041895073659174366, 0.041895158447131306, 0.041895234706208546, 0.041895302576576816, 0.04189536218151374, 0.041895413628134225, 0.041895457008024412, 0.041895492397783556, 0.041895519859476316, 0.041895539440999517, 0.041895551176364752, 0.041895555085898997, 0.041895553131575239, 0.041895547270545903, 0.041895537508637989, 0.041895523855566108, 0.041895506324937389, 0.041895484934258063, 0.041895459704941677, 0.041895430662319544, 0.041895397835652846, 0.041895361258146489, 0.041895320966964932, 0.04189527700324959, 0.04189522941213835, 0.041895178242786206, 0.041895123548388188, 0.041895065386203634, 0.041895003817582127, 0.041894938907991008, 0.041894870727044425, 0.04189479934853356, 0.041894724850458892, 0.041894647315062983, 0.041894566828865006, 0.041894483482696192, 0.04189439737173651, 0.041894308595552106, 0.041894217258133394, 0.041894123467934433, 0.041894027337912108, 0.041893928985566008, 0.041893828532978697, 0.041893726106855662, 0.041893621838565182, 0.041893515864177541, 0.041893408324504118, 0.041893299365134744, 0.041893189136474322, 0.041893077793777433, 0.041892965497181321, 0.041892852411736195, 0.04189273870743257, 0.04189262455922587, 0.04189251014705641, 0.041892395655865632, 0.041892281275606638, 0.041892167201249553, 0.041892053632780139, 0.041891940775191039, 0.04189182883846497, 0.041891718037548549, 0.041891608592316228, 0.04189150072752245, 0.041891394672741535, 0.041891290662293239, 0.041891188935153138, 0.041891089734845614, 0.041890993309318357, 0.041890899910795518, 0.041890809795608552, 0.041890723224001676, 0.041890640459909652, 0.041890561770705617, 0.041890487426915243, 0.041890417701895097, 0.041890352871470839, 0.041890293213532159, 0.04189023900758005, 0.041890190534222431, 0.041890148074612651, 0.041890111909826867, 0.041890082320173466, 0.041890059584429311, 0.041890043978996247, 0.0418900357769703, 0.041890035247116389, 0.041890042652740135, 0.041890058250447837, 0.041890082288784998, 0.041890115006743063, 0.041890156632123025, 0.041890207379744228, 0.041890267449485076, 0.04189033702414155, 0.041890416267089566, 0.041890505319733692, 0.041890604298726632, 0.041890713292939953, 0.04189083236016742, 0.041890961523539313, 0.041891100767626734, 0.04189125003421118, 0.041891409217695637, 0.041891578160130914, 0.041891756645828927, 0.04189194439553591, 0.041892141060133205, 0.041892346213837195, 0.041892559346864318, 0.041892779857528817, 0.041893007043740521, 0.04189324009386762, 0.041893478076932097, 0.041893719932103737, 0.041893964457461595, 0.041894210297992125, 0.041894455932796733, 0.041894699661485298, 0.041894939589735267, 0.041895173614003786, 0.041895399405386599, 0.041895614392627213, 0.041895815744289688, 0.041896000350123738, 0.041896164801663534, 0.041896305372123493, 0.041896417995671294, 0.041896498246186728, 0.041896541315639961, 0.041896541992254926, 0.041896494638658743, 0.041896393170255584, 0.041896231034106321, 0.041896001188639981, 0.041895696084571464, 0.041895307647449823, 0.04189482726231461, 0.041894245760987263, 0.041893553412577299, 0.041890705448797652, 0.04188645530868991, 0.041880451697530352, 0.041872308521066832, 0.041861619488899875, 0.041847979688194994, 0.041831013139304318, 0.041810403553572975, 0.041785923853852082, 0.041757459179187967, 0.041725018558413783, 0.041688732109125104, 0.041648832857208919, 0.041605624397360784, 0.04155943739756511, 0.041510579495222487, 0.041459284321151993, 0.04140566569367081, 0.041349682052660194, 0.041291114345476249, 0.041229559093937398, 0.04116443902440145, 0.041095038655409075, 0.0410205854613548, 0.040940427692076072, 0.040854431201360702, 0.040763894765076941, 0.040673758924266688, 0.040598285168393762, 0.04057702994411512, 0.040725930733075864, 0.04143470508513148, 0.044394763683471977, 0.061761321947232266, 0.30451712801883429, 0.12266744696636998, 0.068003003926483424, 0.056148500755165538, 0.051575221465343393, 0.049273821491308566, 0.047930738959590907, 0.047071111070249951, 0.04648603962464188, 0.04607051084166601, 0.045766337019544669, 0.045538770318145065, 0.04536577561098605, 0.045232664121223967, 0.045129217990963949, 0.045048061993456047, 0.044983699222700659, 0.044931918892838776, 0.04488942182821315, 0.044853577891392479, 0.04482226562992761, 0.044793764175686777, 0.044766678707657014, 0.044739887488988335, 0.044712502635127625, 0.044683839444023932, 0.044653390912717965, 0.044620805305028335, 0.044585865506947937, 0.044548469516288616, 0.044508611826320738, 0.044466365723973854, 0.04442186666587343, 0.044375296949344258, 0.04432687188657515, 0.044276827641345537, 0.044225410818354224, 0.044172869820391793, 0.044119447919169136, 0.044065377928286277, 0.044010878324834024, 0.043956150640001287, 0.043901377927472493, 0.043846724118915881, 0.043792334085585624, 0.043738334241088132, 0.043684833540108679, 0.04363192474920756, 0.043579685887048088, 0.043528181751468213, 0.043477465468927494, 0.043427580017682453, 0.043378559689433917, 0.043330431465227311, 0.043283216290233593, 0.043236930238950241, 0.043191585567603066, 0.043147191654370691, 0.043103755830761446, 0.043061284109263485, 0.043019781813478541, 0.042979254117500469, 0.042939706501455559, 0.042901145130000505, 0.042863577160264531, 0.042827010985296711, 0.042791456418598897, 0.042756924824822407, 0.042723429201222768, 0.042690984214016452, 0.042659606193390522, 0.042629313090577353, 0.04260012440014499, 0.042572061050455877, 0.042545145265118399, 0.04251940039819474, 0.042494850745927647, 0.042471521337795873, 0.042449437709803597, 0.042428625663035048, 0.042409111010652416, 0.042390919316671133, 0.042374075629999695, 0.042358604217363115, 0.042344528298839001, 0.042331869789791712, 0.042320649053004644, 0.042310884664757076, 0.042302593198470496, 0.042295789029359598, 0.042290484163249646, 0.042286688092388058, 0.042284407680665465, 0.042283647080192638, 0.042284154159459048, 0.042285674617225238, 0.042288206117363329, 0.042291744779497549, 0.04229628519854061, 0.042301820471604523, 0.042308342231853681, 0.042315840688747754, 0.042324304674013151, 0.042333721692574676, 0.042344077977579102, 0.0423553585485512, 0.042367547271637079, 0.042380626920810592, 0.042394579238850094, 0.042409384996824069, 0.042425024050771594, 0.042441475394205994, 0.042458717205025247, 0.042476726885370186, 0.042495481092929784, 0.042514955762161334, 0.042535126113857076, 0.042555966651465681, 0.042577451142551251, 0.042599552583755834, 0.042622243147626457, 0.042645494109670799, 0.042669275754027465, 0.042693557256184261, 0.042718306541251798, 0.042743490116420362, 0.042769072876399174, 0.042795017880874114, 0.04282128610334851, 0.042847836151159946, 0.04287462395702301, 0.042901602443160665, 0.042928721159975376, 0.042955925902308782, 0.042983158307670008, 0.043010355442400831, 0.043037449383611925, 0.043064366806873686, 0.043091028592074615, 0.043117349462542032, 0.043143237675399397, 0.043168594784124922, 0.043193315497244304, 0.043217287659852117, 0.04324039238697986, 0.043262504379410593, 0.043283492453040355, 0.043303220311905415, 0.043321547592123637, 0.043338331198834679, 0.043353426950421291, 0.043366691533626406, 0.043377984759599073, 0.043387172094615852, 0.043394127420749759, 0.043398735961982918, 0.043400897291427917, 0.043400528317019127, 0.043397566128077845, 0.043391970575433883, 0.043383726455067773, 0.043372845170894882, 0.043359365767106209, 0.043343355244330105, 0.043324908105763157, 0.043304145117350361, 0.043281211307300158, 0.043256273271362937, 0.043229515887903691, 0.043201138577633399, 0.043171351264363937, 0.043140370203718095, 0.043108413845902617, 0.043075698887122954, 0.043042436643660281, 0.04300882985544411, 0.042975069994907585, 0.042941335124809576, 0.04290778831806228, 0.042874576625428089, 0.042841830554628625, 0.042809664007669009, 0.042778174612150235, 0.042747444376669594, 0.042717540599388516, 0.042688516961576911, 0.0426604147434499, 0.042633264106951535, 0.042607085398467408, 0.042581890433068162, 0.042557683730262523, 0.042534463678983787, 0.042512223616420895, 0.042490952811200244, 0.042470637346305198, 0.04245126090101993, 0.04243280543418463, 0.042415251773255648, 0.042398580115193214, 0.042382770446171072, 0.042367802887625046, 0.042353657976331539, 0.042340316886122525, 0.042327761598568797, 0.042315975029563427, 0.042304941118255952, 0.04229464488426446, 0.042285072458555534, 0.042276211092847522, 0.042268049151880573, 0.042260576092409921, 0.042253782432327677, 0.042247659712901987, 0.042242200456742304, 0.042237398123752982, 0.042233247067027122, 0.042229742490345758, 0.042226880408695169, 0.042224657612978347, 0.042223071639884452, 0.042222120747683917, 0.042221803898531036], [0.042111485423385497, 0.042112171931256596, 0.04211423123478588, 0.042117662689553532, 0.042122465274327635, 0.042128637670365267, 0.042136178372649546, 0.042145085833326372, 0.042155358637739643, 0.042166995713653468, 0.042179996574504039, 0.042194361597848416, 0.042210092340600601, 0.042227191893180957, 0.042245665275371283, 0.042265519877498429, 0.042286765951597284, 0.042309417158467991, 0.042333491178095033, 0.042359010392815422, 0.042386002654982033, 0.042414502153797051, 0.042444550399622243, 0.042476197348621743, 0.042509502696302846, 0.042544537375746573, 0.042581385305529032, 0.042620145444144754, 0.042660934223022973, 0.042703888450144056, 0.04274916880244322, 0.042796964059926272, 0.042847496280915644, 0.042901027180723757, 0.042957866061956299, 0.043018379763341677, 0.043083005259922508, 0.043152265782429006, 0.043226791660989743, 0.043307347589828675, 0.043394868737313297, 0.043490509222188584, 0.043595708160828424, 0.043712281131601492, 0.043842549142279481, 0.04398952416959475, 0.044157182176372753, 0.044350875230724854, 0.044577971965880418, 0.04484888680406509, 0.045178799696018755, 0.045590664828934771, 0.046120772133374441, 0.046829740755245625, 0.0478261462052735, 0.049323061073436321, 0.051794253071573572, 0.056502733902476412, 0.067943059067924139, 0.11320624849352164, 0.3586193399558566, 0.07664899417247184, 0.047109447318769392, 0.042303022616034976, 0.041112418085179687, 0.040810750049385079, 0.040786467877036284, 0.040857051031661748, 0.040958251534455439, 0.041065199871380416, 0.041167868737678026, 0.041262307062834923, 0.041347185103682772, 0.041422334776135807, 0.041488103449171927, 0.041545060126274798, 0.041593860826343289, 0.041635187531482543, 0.041669721089875815, 0.041698129245776552, 0.041721060802924481, 0.041739141765197843, 0.041752971740222543, 0.041763120124114678, 0.041770122174528537, 0.041774475311197851, 0.041776636015147382, 0.041777017623668498, 0.0417759891981253, 0.041773875514654439, 0.041770958117581275, 0.041767477293979227, 0.041763634778622889, 0.041759596979113814, 0.041755498515294712, 0.041751445888060588, 0.041747521123374653, 0.041743785271862899, 0.041740281678449294, 0.041737038967259332, 0.041734073712925618, 0.041731392789938808, 0.041728995406951304, 0.041726874843526232, 0.041725019913497571, 0.041723416182679551, 0.04172204696991158, 0.041720894160011505, 0.041719938855696984, 0.041719161893349448, 0.041718544244968125, 0.041718067326024288, 0.041717713226338889, 0.041717464878670632, 0.041717306177474892, 0.041717222058304464, 0.041717198546578509, 0.041717222782933785, 0.041717283031083206, 0.041717368673014045, 0.041717470195442093, 0.04171757917067561, 0.041717688234413144, 0.0417177910624787, 0.041717882348073505, 0.041717957780774764, 0.041718014028226377, 0.041718048721231846, 0.041718060442762966, 0.041718057029964041, 0.041718046785472918, 0.041718029690968703, 0.041718005715789028, 0.041717974816738751, 0.041717936937819527, 0.041717892009879874, 0.041717839950182529, 0.041717780661886972, 0.041717714033443529, 0.041717639937895158, 0.04171755823208248, 0.041717468755747077, 0.041717371330526186, 0.041717265758834027, 0.041717151822620042, 0.041717029281997595, 0.04171689787373227, 0.041716757309580681, 0.041716607274467306, 0.041716447424486408, 0.041716277384716012, 0.041716096746826428, 0.041715905066467218, 0.041715701860412326, 0.041715486603442514, 0.041715258724940738, 0.041715017605174286, 0.041714762571234763, 0.041714492892602831, 0.041714207776302165, 0.041713906361602458, 0.041713587714227021, 0.041713250820015466, 0.041712894577986638, 0.041712517792740302, 0.041712119166129449, 0.041711697288126758, 0.041711250626799902, 0.041710777517301005, 0.041710276149762963, 0.041709744555983239, 0.041709180594761468, 0.041708581935739703, 0.041707946041576419, 0.041707270148263337, 0.04170655124337011, 0.0417057860419748, 0.041704970960005076, 0.041704102084680526, 0.041703175141704719, 0.041702185458807217, 0.041701127925183032, 0.041699996946313107, 0.041698786393578782, 0.041697489547998866, 0.041696099037323922, 0.041694606765610563, 0.041693003834271783, 0.041691280453451704, 0.041689425842401956, 0.041687428117339949, 0.041685274165039525, 0.041682949500142015, 0.041680438103869566, 0.041677722241472093, 0.041674782255339063, 0.041671596330248042, 0.041668140226709123, 0.041664386977789181, 0.041660306544178537, 0.041655865421605244, 0.041651026194050395, 0.041645747025639127, 0.041639981083692122, 0.041633675885435185, 0.041626772561618605, 0.041619205032384962, 0.041610899095113105, 0.041601771432298741, 0.041591728562558127, 0.041580665784248579, 0.041568466207014355, 0.041555000045760633, 0.041540124488785198, 0.041523684691369724, 0.041505516869317291, 0.041485455226282629, 0.041463345838327947, 0.041439073222958409, 0.04141261033808593, 0.041384112753111331, 0.041354098438752838, 0.04132379951445754, 0.041295875064384313, 0.041275925226290963, 0.041275910655860747, 0.041322517033374917, 0.041479892049957841, 0.041920988536545717, 0.04320227873032579, 0.047711302815191828, 0.072413995932629913, 0.20061788572048994, 0.08691802858715271, 0.059512417607652773, 0.051921259348103925, 0.048741566974238988, 0.047077519095995425, 0.046081918153109504, 0.045431478581915111, 0.044979630060374032, 0.044651405650503205, 0.0444048921734004, 0.04421499958371565, 0.044065876074869982, 0.043947061817759057, 0.043851406099894588, 0.043773876933523775, 0.043710849530156977, 0.043659664729996786, 0.043618346232904823, 0.043585414814688486, 0.04355976382989956, 0.043540574723765255, 0.043527259552058432, 0.043519422438559503, 0.043516834959076531, 0.043519422438559482, 0.043527259552058439, 0.043540574723765255, 0.043559763829899553, 0.043585414814688479, 0.043618346232904726, 0.043659664729996848, 0.043710849530157025, 0.043773876933523824, 0.043851406099894789, 0.043947061817759106, 0.044065876074870024, 0.044214999583715539, 0.044404892173400393, 0.044651405650503094, 0.044979630060374046, 0.045431478581914875, 0.046081918153108886, 0.047077519095996521, 0.04874156697424082, 0.051921259348103557, 0.059512417607655674, 0.086918028587190888, 0.20061788572050279, 0.072413995932621003, 0.047711302815187956, 0.043202278730325956, 0.041920988536545842, 0.041479892049957903, 0.041322517033374966, 0.041275910655860733, 0.041275925226290956, 0.041295875064384334, 0.041323799514457596, 0.041354098438752832, 0.041384112753111296, 0.041412610338085916, 0.04143907322295845, 0.041463345838327954, 0.04148545522628265, 0.041505516869317284, 0.041523684691369689, 0.041540124488785211, 0.04155500004576064, 0.041568466207014328, 0.041580665784248572, 0.04159172856255814, 0.041601771432298755, 0.041610899095113098, 0.041619205032384955, 0.041626772561618626, 0.041633675885435137, 0.041639981083692108, 0.041645747025639127, 0.041651026194050388, 0.041655865421605223, 0.041660306544178544, 0.041664386977789174, 0.041668140226709095, 0.041671596330248015, 0.041674782255339021, 0.041677722241472086, 0.041680438103869566, 0.041682949500142036, 0.041685274165039518, 0.041687428117339963, 0.041689425842401963, 0.041691280453451704, 0.041693003834271762, 0.041694606765610563, 0.041696099037323922, 0.041697489547998845, 0.041698786393578782, 0.041699996946313135, 0.041701127925183074, 0.041702185458807231, 0.041703175141704719, 0.041704102084680519, 0.041704970960005056, 0.041705786041974821, 0.041706551243370152, 0.041707270148263302, 0.041707946041576412, 0.041708581935739709, 0.041709180594761475, 0.041709744555983239, 0.041710276149762963, 0.041710777517300991, 0.041711250626799881, 0.041711697288126751, 0.041712119166129449, 0.041712517792740322, 0.041712894577986603, 0.041713250820015473, 0.041713587714227028, 0.041713906361602472, 0.041714207776302137, 0.041714492892602824, 0.041714762571234729, 0.041715017605174286, 0.041715258724940765, 0.041715486603442521, 0.041715701860412305, 0.04171590506646719, 0.041716096746826414, 0.041716277384715998, 0.041716447424486443, 0.041716607274467285, 0.041716757309580715, 0.041716897873732284, 0.041717029281997588, 0.041717151822620049, 0.041717265758834041, 0.0417173713305262, 0.041717468755747056, 0.041717558232082515, 0.041717639937895151, 0.041717714033443522, 0.041717780661886986, 0.041717839950182516, 0.041717892009879867, 0.041717936937819541, 0.041717974816738737, 0.041718005715789035, 0.04171802969096871, 0.041718046785472945, 0.041718057029964048, 0.041718060442762939, 0.041718058736785642, 0.041718053620875134, 0.041718045101096675, 0.04171803318756212, 0.041718017894434821, 0.04171799923993641, 0.041717977246355183, 0.041717951940056792, 0.041717923351496579, 0.041717891515233717, 0.04171785646994744, 0.04171781825845472, 0.041717776927730189, 0.041717732528927291, 0.0417176851174016, 0.041717634752735509, 0.041717581498764846, 0.041717525423606662, 0.041717466599689064, 0.041717405103781864, 0.041717341017029348, 0.041717274424983755, 0.041717205417640305, 0.041717134089473189, 0.041717060539472849, 0.041716984871183783, 0.041716907192743423, 0.041716827616921692, 0.041716746261160835, 0.041716663247615589, 0.041716578703193806, 0.041716492759596623, 0.041716405553358565, 0.041716317225886979, 0.041716227923500895, 0.041716137797468487, 0.041716047004043404, 0.041715955704498923, 0.041715864065160584, 0.041715772257435675, 0.041715680457839764, 0.041715588848020187, 0.041715497614774708, 0.041715406950066189, 0.041715317051031396, 0.04171522811998403, 0.041715140364410999, 0.041715053996960877, 0.041714969235423727, 0.041714886302701516, 0.041714805426767872, 0.041714726840615626, 0.04171465078219172, 0.041714577494317132, 0.041714507224590816, 0.04171444022527597, 0.041714376753166804, 0.041714317069433383, 0.041714261439443234, 0.041714210132556731, 0.041714163421894095, 0.041714121584070896, 0.041714084898899648, 0.041714053649053742, 0.041714028119690473, 0.041714008598029408, 0.041713995372881778, 0.041713988734126815, 0.041713988972129544, 0.041713996377095837, 0.041714011238357884, 0.041714033843584901, 0.041714064477912025, 0.041714103422980521, 0.041714150955881109, 0.041714207347992666, 0.041714272863707096, 0.0417143477590304, 0.04171443228005018, 0.041714526661257571, 0.041714631123712348, 0.041714745873037834, 0.041714871097231439, 0.041715006964276845, 0.041715153619541104, 0.041715311182940043, 0.041715479745853726, 0.041715659367773071, 0.041715850072656172, 0.041716051844973949, 0.041716264625420975, 0.041716488306267771, 0.041716722726329251, 0.041716967665522034, 0.041717222838983825, 0.041717487890724055, 0.041717762386778497, 0.041718045807834753, 0.041718337541298424, 0.041718636872768521, 0.041718942976889342, 0.041719254907548672, 0.041719571587390869, 0.041719891796616206, 0.041720214161039298, 0.041720537139382272, 0.04172085900978334, 0.041721177855504249, 0.041721491549828536, 0.041721797740148905, 0.041722093831252298, 0.041722376967820655, 0.041722644016182114, 0.041722891545358701, 0.041723115807479123, 0.041723312717642472, 0.041723477833345485, 0.041723606333611385, 0.041723692997989316, 0.041723732185626854, 0.041723717814655475, 0.041723643342168173, 0.041723501745112183, 0.041723285502464964, 0.041722986579108126, 0.041722596411863586, 0.04172210589820196, 0.041721505388180778, 0.041718939112362949, 0.041714982984872959, 0.041709291116085546, 0.041701484648154513, 0.041691166201139961, 0.041677940953665699, 0.041661443381777373, 0.041641367009265448, 0.041617492966621157, 0.041589712330033696, 0.041558037567447886, 0.041522599930040413, 0.041483631787718168, 0.041441435103420972, 0.041396339143077145, 0.041348652047296638, 0.04129861186931956, 0.041246342728485832, 0.041191820636286555, 0.041134851749964653, 0.041075064384235853, 0.041011916526172316, 0.040944724672465689, 0.040872730644202361, 0.040795247782833562, 0.040711984977583979, 0.040623786101637693, 0.040534387576375376, 0.040454843361660948, 0.04041561458627857, 0.040503677982389394, 0.040997467893659503, 0.043003934534252046, 0.053174154916206799, 0.16890247373246417, 0.17718563153761713, 0.07511022219402852, 0.058260688854490199, 0.052460527567061807, 0.049706101790983864, 0.048153236723779275, 0.047181681779743162, 0.046530940601043916, 0.046074242947405905, 0.045743018688189821, 0.045497077652045019, 0.045311311438371887, 0.04516918594838152, 0.04505931573658542, 0.044973552101939353, 0.04490586442166368, 0.044851660156092557, 0.044807358597126673, 0.044770116924138487, 0.044737650381763701, 0.044708111836680407, 0.044680009220515293, 0.044652147168488081, 0.044623583954422757, 0.044593597892500315, 0.044561659423430176, 0.044527406512017989, 0.044490621969009617, 0.044451211995756003, 0.044409185710857994, 0.04436463570466035, 0.04431771981999176, 0.044268644409919428, 0.044217649305799446, 0.044164994668087036, 0.044110949810346578, 0.044055784000776622, 0.043999759167320733, 0.043943124369267492, 0.043886111853333284, 0.043828934485697413, 0.043771784341402983, 0.043714832235900704, 0.043658227996821605, 0.043602101293948994, 0.043546562868875545, 0.043491706030594941, 0.043437608307526264, 0.043384333169002115, 0.043331931749350412, 0.0432804445250278, 0.043229902909752919, 0.043180330744381101, 0.0431317456675918, 0.043084160360640826, 0.04303758366478392, 0.042992021573817575, 0.042947478106814665, 0.042903956067797587, 0.042861457700029887, 0.042819985242994414, 0.042779541400117915, 0.042740129725024029, 0.04270175493364075, 0.042664423148930583, 0.042628142084412977, 0.042592921172042914, 0.042558771639437214, 0.042525706540912825, 0.04249374074634521, 0.042462890891463795, 0.042433175292895496, 0.042404613831035665, 0.042377227803670647, 0.042351039753193681, 0.042326073270241037, 0.042302352776610597, 0.042279903290416108, 0.042258750176551126, 0.042238918885684595, 0.042220434685165883, 0.042203322385373901, 0.042187606065179462, 0.042173308800303705, 0.042160452398415357, 0.042149057144826516, 0.04213914156259458, 0.042130722190716736, 0.042123813383911933, 0.042118427137208821, 0.042114572938219075, 0.042112257649556582, 0.042111485423385497, 0.042112000252889227, 0.042113543958501448, 0.042116114195586279, 0.042119707069886769, 0.042124317157504261, 0.042129937532419642, 0.042136559801114241, 0.042144174143725593, 0.042152769361061229, 0.04216233292668483, 0.042172851043185848, 0.042184308701650561, 0.042196689743264043, 0.04220997692189165, 0.042224151966416629, 0.042239195641540231, 0.042255087805694952, 0.042271807464660451, 0.042289332819425283, 0.042307641306789587, 0.042326709631159906, 0.042346513785950293, 0.042367029062963121, 0.042388230048094312, 0.04241009060167563, 0.042432583821743357, 0.042455681988509929, 0.042479356488310784, 0.042503577715311533, 0.042528314949300143, 0.042553536207953789, 0.042579208072083333, 0.042605295482522718, 0.042631761507563544, 0.042658567080161656, 0.042685670704574255, 0.04271302813265216, 0.042740592010740909, 0.042768311499060831, 0.042796131866572711, 0.042823994065722876, 0.042851834293124273, 0.042879583544191052, 0.042907167172015391, 0.04293450446335198, 0.042961508247434374, 0.042988084556431674, 0.043014132359575762, 0.043039543396207795, 0.043064202136016666, 0.043087985897322149, 0.043110765156069965, 0.043132404078886973, 0.04315276131266086, 0.043171691060214207, 0.043189044466295894, 0.043204671329928654, 0.043218422147872443, 0.04323015047952309, 0.043239715606173595, 0.04324698543776842, 0.043251839599028188, 0.043254172605457129, 0.043253897019982744, 0.043250946464792328, 0.043245278352382122, 0.043236876196845971, 0.04322575137249527, 0.043211944202847227, 0.043195524288746075, 0.043176590018762728, 0.043155267245876143, 0.043131707158733656, 0.043106083419885581, 0.043078588683510513, 0.043049430637816591, 0.043018827739776097, 0.042987004820462901, 0.042954188737594594, 0.042920604238759846, 0.042886470176125929, 0.042851996183821614, 0.042817379895696901, 0.042782804746801198, 0.04274843836937138, 0.042714431565503204, 0.042680917815410432, 0.042648013262969353, 0.042615817109167384, 0.04258441233868776, 0.042553866704365846, 0.04252423389765065, 0.042495554839442354, 0.042467859033742165, 0.042441165935551493, 0.042415486293670104, 0.042390823437911229, 0.042367174488389205, 0.042344531471714845, 0.042322882335035082, 0.042302211853866414, 0.042282502433643059, 0.042263734807925925, 0.042245888638416176, 0.042228943023412999, 0.042212876922279152, 0.042197669503943304, 0.042183300427583253, 0.042169750063489379, 0.042156999661777203, 0.042145031476165516, 0.042133828849508399, 0.042123376267205151, 0.042113659384039048, 0.042104665029430756, 0.042096381195555407, 0.04208879701226282, 0.042081902712273252, 0.042075689589688638, 0.04207014995446938, 0.042065277085169953, 0.04206106518190917, 0.042057509321258985, 0.042054605414478238, 0.042052350170278051, 0.042050741063089994, 0.042049776307611066, 0.042049454840210457], [0.042174072888921513, 0.042174773736766265, 0.042176876074352304, 0.042180379300279354, 0.042185282467060159, 0.042191584363508568, 0.042199283630336377, 0.042208378909263988, 0.042218869026100635, 0.04223075320845817, 0.042244031339040339, 0.042258704245802171, 0.042274774030731911, 0.042292244439586818, 0.042311121275633447, 0.042331412861338728, 0.042353130553067456, 0.042376289315205928, 0.04240090836181027, 0.042427011875953068, 0.042454629819498504, 0.042483798849213453, 0.042514563359069689, 0.042546976673546316, 0.042581102422971508, 0.042617016139845122, 0.042654807125176011, 0.042694580646840799, 0.042736460548796339, 0.042780592371963633, 0.042827147116579874, 0.04287632581437327, 0.042928365130677451, 0.042983544286827526, 0.043042193689444425, 0.043104705786701704, 0.043171548859011123, 0.04324328471795965, 0.04332059167147774, 0.04340429467564498, 0.04349540543068834, 0.043595176447383657, 0.043705175070877365, 0.043827386545857328, 0.043964360216703247, 0.044119421278467873, 0.04429698473653107, 0.044503033434083031, 0.044745868323992563, 0.045037328062727602, 0.045394854416539496, 0.045845163932869762, 0.046431167372200259, 0.047225977805520299, 0.048363942074457336, 0.050117912041074492, 0.053124734357411774, 0.059212664031244686, 0.075770923898395917, 0.15964839342529644, 0.23808523901594061, 0.060976267115266679, 0.044987928640033092, 0.04185486005165874, 0.041036654564160585, 0.040844775281915088, 0.040857463444431703, 0.040940776072822885, 0.041045730937229366, 0.041152938413218793, 0.041254514831364796, 0.041347389679083954, 0.041430599103253647, 0.041504120938412208, 0.041568352385199958, 0.041623870826016554, 0.041671324066082274, 0.041711380724820175, 0.041744708306521036, 0.041771963378058004, 0.041793786401924028, 0.041810797825633239, 0.041823594099196081, 0.041832743343212776, 0.041838780886345073, 0.041842205072579498, 0.041843473741174503, 0.041843001689505527, 0.041841159296804001, 0.041838272351910705, 0.041834623013292743, 0.041830451746053932, 0.041825960031252711, 0.041821313624426641, 0.041816646146390808, 0.041812062812543627, 0.041807644139803438, 0.041803449506863155, 0.041799520479226318, 0.041795883842590364, 0.04179255431504604, 0.041789536929767161, 0.041786829095577842, 0.041784422353627407, 0.04178230385519404, 0.041780457589232788, 0.041778865389490966, 0.041777507750525002, 0.041776364480346682, 0.041775415215142594, 0.041774639818890499, 0.041774018687970739, 0.041773532978208065, 0.041773164769276915, 0.041772897179121318, 0.041772714439006126, 0.04177260193803408, 0.041772546244422164, 0.041772535109518505, 0.041772557459430461, 0.041772603378204876, 0.041772664085729591, 0.041772731912887301, 0.041772800275968358, 0.04177286365192031, 0.041772917555662252, 0.041772958520404753, 0.041772984081681806, 0.041772992765604575, 0.04177298982081798, 0.041772980980977654, 0.041772966229605503, 0.04177294553911548, 0.041772918870629575, 0.04177288617371782, 0.041772847386061844, 0.041772802433038922, 0.041772751227224118, 0.041772693667807718, 0.041772629639923634, 0.041772559013884596, 0.04177248164431939, 0.041772397369205683, 0.041772306008793239, 0.041772207364408891, 0.041772101217136252, 0.041771987326360394, 0.041771865428168062, 0.04177173523359172, 0.041771596426684834, 0.041771448662415757, 0.041771291564363253, 0.041771124722198141, 0.04177094768893147, 0.041770759977908939, 0.041770561059528165, 0.041770350357653425, 0.041770127245699964, 0.041769891042355754, 0.041769641006906687, 0.041769376334126147, 0.041769096148686145, 0.041768799499042469, 0.041768485350740327, 0.041768152579082202, 0.041767799961091194, 0.041767426166696951, 0.04176702974906174, 0.041766609133955496, 0.041766162608076779, 0.041765688306204911, 0.041765184197054432, 0.041764648067687517, 0.041764077506321329, 0.04176346988334817, 0.041762822330361556, 0.041762131716957064, 0.041761394625044329, 0.041760607320374628, 0.041759765720947722, 0.041758865361917086, 0.041757901356561739, 0.04175686835283253, 0.041755760484914535, 0.041754571319167176, 0.041753293793714993, 0.041751920150857241, 0.041750441861344745, 0.041748849539433974, 0.041747132847468144, 0.041745280388549889, 0.041743279585655962, 0.041741116545298246, 0.04173877590355006, 0.041736240651929657, 0.041733491940259167, 0.041730508853189296, 0.041727268156601369, 0.041723744009560193, 0.041719907636908693, 0.041715726956973155, 0.041711166158224532, 0.041706185218169059, 0.041700739357320042, 0.041694778421009125, 0.041688246182313329, 0.041681079560994455, 0.041673207756875552, 0.041664551302865963, 0.04165502105514881, 0.041644517159680448, 0.041632928071612903, 0.041620129768744164, 0.04160598541122932, 0.041590345892426342, 0.04157305206316296, 0.041553940011201523, 0.041532851862245292, 0.041509656574598236, 0.041484289007375372, 0.041456822997226798, 0.041427609312210303, 0.041397541406586087, 0.041368583291994616, 0.041344862631610656, 0.041335061035823767, 0.041358023739618992, 0.041457199686390785, 0.041742706715915991, 0.042536873610991802, 0.045023370034751382, 0.055596159618863113, 0.13525926015786954, 0.13163467022614467, 0.068244763564274835, 0.054952542139560467, 0.050216625146031826, 0.047951461068296466, 0.046670030499436674, 0.045863879236065316, 0.045318738718274812, 0.044930584349900195, 0.044643484960179475, 0.044424959536843854, 0.04425497775938577, 0.04412058110198265, 0.044013054496981133, 0.043926348743104582, 0.043856156589715173, 0.043799349192437886, 0.043753620525635979, 0.04371725668886748, 0.043688982971876456, 0.043667861008130367, 0.043653219330355361, 0.043644607085420853, 0.043641764607243574, 0.043644607085420825, 0.043653219330355375, 0.043667861008130353, 0.043688982971876449, 0.043717256688867473, 0.043753620525635875, 0.043799349192437942, 0.043856156589715208, 0.04392634874310463, 0.044013054496981355, 0.044120581101982678, 0.044254977759385812, 0.044424959536843743, 0.044643484960179447, 0.044930584349900077, 0.045318738718274847, 0.045863879236065046, 0.046670030499435938, 0.04795146106829791, 0.05021662514603438, 0.054952542139559996, 0.068244763564279484, 0.13163467022623818, 0.13525926015784823, 0.055596159618859879, 0.045023370034749606, 0.042536873610991871, 0.041742706715916095, 0.041457199686390812, 0.041358023739619047, 0.041335061035823767, 0.041344862631610663, 0.041368583291994637, 0.041397541406586136, 0.04142760931221031, 0.041456822997226764, 0.041484289007375344, 0.04150965657459825, 0.041532851862245285, 0.041553940011201537, 0.041573052063162974, 0.041590345892426321, 0.041605985411229354, 0.041620129768744178, 0.041632928071612882, 0.041644517159680428, 0.04165502105514881, 0.041664551302865976, 0.041673207756875538, 0.041681079560994469, 0.041688246182313357, 0.041694778421009077, 0.041700739357320014, 0.041706185218169052, 0.041711166158224518, 0.041715726956973141, 0.041719907636908707, 0.041723744009560186, 0.041727268156601334, 0.041730508853189269, 0.041733491940259132, 0.041736240651929664, 0.041738775903550053, 0.041741116545298274, 0.041743279585655969, 0.041745280388549903, 0.041747132847468137, 0.04174884953943396, 0.041750441861344724, 0.041751920150857269, 0.041753293793714986, 0.041754571319167155, 0.041755760484914535, 0.04175686835283255, 0.041757901356561766, 0.041758865361917093, 0.041759765720947715, 0.041760607320374628, 0.041761394625044294, 0.041762131716957057, 0.041762822330361583, 0.041763469883348149, 0.041764077506321322, 0.041764648067687503, 0.041765184197054446, 0.041765688306204911, 0.041766162608076807, 0.041766609133955482, 0.041767029749061713, 0.041767426166696951, 0.041767799961091194, 0.041768152579082216, 0.04176848535074032, 0.041768799499042476, 0.041769096148686166, 0.041769376334126161, 0.041769641006906659, 0.04176989104235574, 0.041770127245699937, 0.041770350357653425, 0.041770561059528172, 0.041770759977908946, 0.041770947688931435, 0.041771124722198121, 0.041771291564363239, 0.04177144866241575, 0.041771596426684848, 0.041771735233591692, 0.04177186542816809, 0.041771987326360421, 0.041772101217136245, 0.041772207364408891, 0.041772306008793246, 0.04177239736920571, 0.041772481644319383, 0.041772559013884623, 0.04177262963992364, 0.041772693667807725, 0.041772751227224118, 0.041772802433038915, 0.041772847386061844, 0.04177288617371782, 0.041772918870629547, 0.041772945539115501, 0.04177296622960551, 0.041772980980977682, 0.041772989820817986, 0.04177299276560454, 0.041772991293615294, 0.041772986879757994, 0.041772979530365358, 0.04177296925599501, 0.041772956071434539, 0.041772939995708497, 0.041772921052086923, 0.041772899268096332, 0.041772874675532402, 0.041772847310474343, 0.041772817213301637, 0.041772784428712045, 0.041772749005742134, 0.041772710997788738, 0.041772670462633006, 0.04177262746246551, 0.041772582063913599, 0.041772534338069628, 0.041772484360521618, 0.041772432211384436, 0.041772377975333272, 0.04177232174163785, 0.041772263604197966, 0.041772203661580375, 0.041772142017056577, 0.041772078778641336, 0.041772014059132133, 0.041771947976149408, 0.04177188065217681, 0.041771812214602008, 0.04177174279575762, 0.041771672532961872, 0.041771601568558955, 0.041771530049958622, 0.041771458129675157, 0.04177138596536481, 0.041771313719861945, 0.041771241561212973, 0.041771169662708246, 0.041771098202911153, 0.041771027365683507, 0.041770957340208095, 0.041770888321005825, 0.041770820507948753, 0.041770754106266891, 0.041770689326549058, 0.041770626384736283, 0.041770565502107247, 0.041770506905254655, 0.04177045082605154, 0.041770397501606514, 0.041770347174206378, 0.041770300091245209, 0.041770256505137916, 0.041770216673217404, 0.04177018085761279, 0.041770149325107732, 0.041770122346975698, 0.041770100198791238, 0.041770083160213994, 0.041770071514743004, 0.041770065549438809, 0.041770065554609985, 0.041770071823460951, 0.041770084651697403, 0.041770104337085577, 0.041770131178960938, 0.041770165477682197, 0.041770207534025036, 0.04177025764851091, 0.041770316120664799, 0.041770383248195597, 0.041770459326092767, 0.041770544645631888, 0.041770639493280984, 0.04177074414949955, 0.041770858887421283, 0.041770983971410158, 0.041771119655480159, 0.041771266181566485, 0.041771423777637137, 0.041771592655630817, 0.04177177300920789, 0.041771965011299733, 0.041772168811439601, 0.041772384532859086, 0.041772612269331641, 0.041772852081744138, 0.041773103994375629, 0.041773367990863071, 0.041773644009829657, 0.041773931940153303, 0.041774231615849637, 0.041774542810543124, 0.041774865231500188, 0.041775198513194424, 0.041775542210377187, 0.04177589579062211, 0.041776258626314067, 0.041776629986053124, 0.041777009025442097, 0.041777394777229637, 0.041777786140779288, 0.041778181870838926, 0.041778580565585408, 0.041778980653923499, 0.041779380382023154, 0.041779777799081728, 0.041780170742307499, 0.041780556821126483, 0.041780933400626045, 0.041781297584257748, 0.041781646195838532, 0.041781975760902292, 0.04178228248747444, 0.041782562246360351, 0.041782810551065093, 0.041783022537486399, 0.041783192943553385, 0.041783316089016247, 0.041783385855627707, 0.041783395667996194, 0.041783338475430851, 0.041783206735143193, 0.041782992397212976, 0.041782686891773058, 0.0417822811189104, 0.041781765441824235, 0.04177945453253562, 0.041775756335004022, 0.041770327686267109, 0.041762793886196845, 0.041752763088337246, 0.041739847079116751, 0.041723687479507249, 0.041703984822491311, 0.041680526475625812, 0.041653208552897496, 0.041622047227783218, 0.041587176252269854, 0.041548829600622589, 0.041507310424106332, 0.04146294950959542, 0.041416057957971444, 0.041366879611186236, 0.0413155485850474, 0.041262056054973684, 0.041206228655131322, 0.041147719446644811, 0.041086012613920003, 0.041020446352974957, 0.040950267323426208, 0.04087475023566034, 0.040793462068659969, 0.04070686048055612, 0.040617698854525007, 0.040534500580124116, 0.040480811222363688, 0.040522582336379294, 0.040862571273265515, 0.04225002714050187, 0.048585651372562488, 0.10193649248922484, 0.28803251611656128, 0.086652651280727633, 0.061400716875455605, 0.053854777222283594, 0.050505786269358061, 0.048689739712133639, 0.047581557975695576, 0.046852039157689283, 0.046346513832812498, 0.045983447042676387, 0.045715983435506653, 0.045515305239753952, 0.045362675629560173, 0.045245327153091756, 0.045154201409694519, 0.04508264299328426, 0.045025613934318059, 0.044979205728822247, 0.044940328224530195, 0.044906506867876082, 0.044875747800738476, 0.044846445952191206, 0.044817320406941787, 0.044787366898237584, 0.044755820815730318, 0.044722126468560622, 0.044685909953786074, 0.044646954101133063, 0.044605174739951729, 0.044560598050238133, 0.044513339075970694, 0.044463581642097849, 0.044411559966120034, 0.044357542226771553, 0.04430181627669133, 0.044244677588675167, 0.044186419425555408, 0.044127325135262289, 0.044067662402864485, 0.04400767924339434, 0.04394760149262901, 0.043887631545070097, 0.043827948095333122, 0.043768706656865046, 0.043710040656427342, 0.043652062930765304, 0.043594867480687041, 0.043538531365491018, 0.043483116646061547, 0.043428672307290153, 0.043375236109497797, 0.043322836334238203, 0.043271493402476303, 0.043221221352976964, 0.04317202917619279, 0.043123922004391718, 0.043076902162580477, 0.043030970087304436, 0.042986125121913778, 0.042942366197640976, 0.042899692410029049, 0.042858103500052133, 0.042817600248810532, 0.042778184794060196, 0.042739860876128584, 0.042702634020037107, 0.042666511659929691, 0.042631503211234503, 0.04259762009537555, 0.042564875721323885, 0.042533285427829019, 0.042502866389819198, 0.042473637492189312, 0.042445619174011955, 0.042418833246102738, 0.042393302684841053, 0.042369051405172768, 0.042346104015805776, 0.042324485559729515, 0.042304221243336104, 0.04228533615758067, 0.042267854994778462, 0.04225180176477504, 0.042237199514345021, 0.042224070053737787, 0.042212433694309243, 0.042202309001127779, 0.042193712564321181, 0.042186658792737801, 0.042181159733213826, 0.042177224918392986, 0.042174861245617708, 0.042174072888921513, 0.042174598471935332, 0.042176174430992038, 0.042178798400313265, 0.042182466450785293, 0.042187173110503406, 0.042192911393071506, 0.042199672833202605, 0.042207447529039481, 0.042216224190499911, 0.042225990192838084, 0.042236731634508591, 0.04224843339832203, 0.042261079214790727, 0.042274651726478887, 0.042289132552096494, 0.042304502349003285, 0.042320740872729981, 0.042337827032059891, 0.042355738938163488, 0.042374453946227172, 0.042393948687968822, 0.042414199093390524, 0.042435180400073477, 0.042456867148284526, 0.042479233160124946, 0.042502251500922128, 0.042525894421042966, 0.042550133276295435, 0.042574938425088513, 0.042600279100550684, 0.042626123255864151, 0.042652437381175752, 0.042679186290604451, 0.042706332878093264, 0.04273383784117931, 0.042761659372192014, 0.042789752816966585, 0.042818070301909192, 0.042846560331198567, 0.042875167357092049, 0.042903831327755111, 0.042932487218782123, 0.042961064556647978, 0.042989486944739606, 0.043017671605364058, 0.043045528954190546, 0.04307296222690362, 0.043099867181331269, 0.043126131901817903, 0.043151636735936381, 0.043176254396507907, 0.043199850263979378, 0.043222282925096479, 0.043243404983037748, 0.043263064171252218, 0.043281104797684079, 0.043297369537441913, 0.043311701579984624, 0.043323947121461807, 0.043333958174174909, 0.043341595643797082, 0.043346732602024977, 0.043349257659191773, 0.043349078319915496, 0.043346124187247322, 0.0433403498692745, 0.0433317374388291, 0.043320298303494181, 0.04330607436038067, 0.043289138338057413, 0.043269593265298195, 0.043247571050561789, 0.043223230203998299, 0.043196752781296172, 0.043168340671722642, 0.043138211387496912, 0.043106593535227992, 0.043073722160806377, 0.043039834156490826, 0.043005163903968399, 0.042969939302025244, 0.042934378295084417, 0.042898685982560865, 0.042863052352026337, 0.042827650644443632, 0.042792636329452807, 0.042758146644335235, 0.042724300632533442, 0.042691199606464364, 0.042658927954294143, 0.042627554210436083, 0.04259713231368413, 0.042567702983956353, 0.042539295157508629, 0.042511927430243096, 0.042485609468618651, 0.042460343357100222, 0.042436124859666982, 0.042412944580417111, 0.042390789014647219, 0.04236964148695261, 0.04234948297695533, 0.042330292836326264, 0.042312049402961419, 0.042294730519637641, 0.042278313965346877, 0.042262777807915014, 0.042248100686561964, 0.042234262032851556, 0.042221242238087271, 0.042209022774700622, 0.042197586278599236, 0.04218691659883167, 0.042176998820312256, 0.042167819264751306, 0.04215936547436825, 0.042151626182432941, 0.042144591274191796, 0.042138251741287186, 0.04213259963237391, 0.042127628002269747, 0.042123330861649863, 0.042119703128996031, 0.042116740586247946, 0.042114439839360272, 0.042112798284748718, 0.042111814082408848, 0.042111486136299545], [0.042484653088586198, 0.042485372482052558, 0.042487530470265558, 0.042491126493835227, 0.042496159677710747, 0.042502628917217775, 0.042510532998807006, 0.042519870755864483, 0.042530641260102947, 0.042542844049283123, 0.042556479392318082, 0.042571548593198241, 0.042588054335673094, 0.042606001071252037, 0.042625395453868342, 0.042646246825519062, 0.042668567758397093, 0.042692374660509694, 0.042717688453600862, 0.042744535334449399, 0.04277294763339648, 0.042802964787420274, 0.042834634449384769, 0.042868013760510471, 0.042903170819942313, 0.042940186393972221, 0.04297915591858293, 0.043020191863296198, 0.043063426542918705, 0.043109015488160561, 0.043157141518324393, 0.043208019702256802, 0.043261903451647828, 0.043319092069553644, 0.043379940185393685, 0.043444869658497816, 0.043514384744782489, 0.043589091624580127, 0.043669723829209382, 0.043757175750615024, 0.043852547386233245, 0.043957204946559185, 0.044072864247853553, 0.044201707462946223, 0.044346549755034555, 0.044511082294082384, 0.044700235394407921, 0.044920736358296777, 0.045181994027201827, 0.045497553869878936, 0.045887596991819823, 0.04638345769232028, 0.047036312412601117, 0.047935222362718535, 0.049248423450904896, 0.05133068948685586, 0.055056268082149896, 0.0631589116745499, 0.08852677787325379, 0.25580425253421302, 0.13247758469982154, 0.053274896037933187, 0.04389323486770165, 0.041794007300814326, 0.041235255995600233, 0.041126058849336358, 0.04116856485084739, 0.041263104145775935, 0.041372062955958487, 0.041480306460937262, 0.041581676275241918, 0.041673836124854403, 0.041756140281231841, 0.041828701745549285, 0.041891970596165604, 0.041946540365702729, 0.041993059577495981, 0.042032192233298959, 0.042064600604589185, 0.042090937465669123, 0.042111841630062589, 0.042127934054278039, 0.042139813530937965, 0.042148051887937979, 0.042153189024330406, 0.042155728248658944, 0.042156132359021707, 0.042154820792077489, 0.042152168022543408, 0.042148503250725756, 0.04214411129508569, 0.042139234520461692, 0.042134075582478031, 0.04212880075112603, 0.042123543584507664, 0.042118408749194133, 0.042113475818921414, 0.04210880292211492, 0.042104430146397392, 0.042100382641847914, 0.042096673392816461, 0.042093305650102712, 0.042090275031539628, 0.042087571310164773, 0.042085179916091973, 0.042083083181815244, 0.042081261361837263, 0.042079693456934145, 0.042078357871649069, 0.042077232931205036, 0.042076297281288942, 0.042075530191326982, 0.04207491177911217, 0.0420744231720587, 0.042074046618005678, 0.042073765556398995, 0.04207356465884899, 0.042073429846482178, 0.042073348290160781, 0.042073308398508688, 0.042073299797733998, 0.04207331330645063, 0.042073340908053501, 0.042073375722667672, 0.042073411980258504, 0.042073444996134815, 0.042073471149788003, 0.042073487867773318, 0.042073493611142751, 0.042073491113012215, 0.042073483613709876, 0.042073471098468256, 0.042073453542556323, 0.042073430911101391, 0.042073403158837668, 0.042073370229780527, 0.042073332056823974, 0.042073288561258887, 0.042073239652208987, 0.042073185225980705, 0.042073125165322613, 0.042073059338590089, 0.042072987598808322, 0.042072909782629439, 0.042072825709174561, 0.042072735178754414, 0.042072637971458729, 0.042072533845605442, 0.042072422536037997, 0.042072303752258775, 0.042072177176386102, 0.042072042460918474, 0.042071899226290704, 0.042071747058202998, 0.042071585504703253, 0.042071414072999566, 0.042071232225978458, 0.042071039378401558, 0.042070834892749306, 0.042070618074678892, 0.042070388168058054, 0.04207014434953326, 0.042069885722585985, 0.042069611311025039, 0.042069320051858074, 0.042069010787477781, 0.042068682257091566, 0.042068333087314697, 0.042067961781838713, 0.042067566710074458, 0.042067146094658919, 0.04206669799770086, 0.042066220305624902, 0.042065710712456642, 0.042065166701372066, 0.042064585524311408, 0.042063964179433325, 0.04206329938615537, 0.042062587557494577, 0.042061824769383901, 0.042061006726597149, 0.042060128724865857, 0.042059185608714654, 0.042058171724477345, 0.042057080867880049, 0.04205590622549276, 0.042054640309250713, 0.042053274883132784, 0.042051800880952339, 0.04205020831406301, 0.042048486167606029, 0.042046622283721712, 0.042044603229913845, 0.042042414150484091, 0.042040038598642443, 0.042037458346543974, 0.042034653170093729, 0.042031600604903845, 0.042028275669269914, 0.042024650549469821, 0.042020694242079715, 0.042016372147378231, 0.042011645607315316, 0.04200647138103402, 0.042000801050700476, 0.041994580350648944, 0.041987748413989667, 0.041980236933516726, 0.041971969239096102, 0.041962859303547567, 0.041952810706454451, 0.041941715615570307, 0.04192945389751461, 0.041915892558823886, 0.041900885872606618, 0.04188427681434554, 0.041865900903208991, 0.041845594392305493, 0.041823210299925077, 0.041798648674469155, 0.041771913076765789, 0.041743216408572752, 0.041713182326445795, 0.041683238678506124, 0.041656414604427178, 0.041639035326554913, 0.041644558521003051, 0.041702994758514494, 0.041886665467861434, 0.042391740439754709, 0.043856502934000965, 0.049076134933111866, 0.07862382259099901, 0.20637430772753207, 0.086388780509821211, 0.0600797653784245, 0.052551169220877797, 0.049345323231847545, 0.047652345798306073, 0.046633963070369891, 0.045966438622949329, 0.045501818836707009, 0.045163999910339918, 0.044910256712137851, 0.044714935174240071, 0.044561792046631091, 0.044440094780613289, 0.044342502822258857, 0.044263853787680725, 0.044200436690178847, 0.044149540527802324, 0.044109165330976398, 0.044077832784236645, 0.044054460095158718, 0.044038275505058198, 0.044028762335023772, 0.044025623582250824, 0.044028762335023737, 0.044038275505058205, 0.044054460095158725, 0.044077832784236652, 0.044109165330976391, 0.044149540527802213, 0.044200436690178931, 0.044263853787680774, 0.044342502822258927, 0.044440094780613518, 0.044561792046631146, 0.044714935174240113, 0.044910256712137726, 0.045163999910339911, 0.045501818836706856, 0.045966438622949336, 0.046633963070369558, 0.047652345798305136, 0.049345323231849467, 0.052551169220881752, 0.060079765378423591, 0.086388780509831037, 0.20637430772759394, 0.07862382259099078, 0.04907613493311002, 0.043856502933999862, 0.042391740439754765, 0.041886665467861503, 0.041702994758514501, 0.041644558521003107, 0.041639035326554913, 0.041656414604427192, 0.041683238678506138, 0.041713182326445844, 0.041743216408572759, 0.041771913076765761, 0.041798648674469141, 0.041823210299925091, 0.041845594392305507, 0.041865900903209012, 0.041884276814345547, 0.041900885872606583, 0.041915892558823921, 0.041929453897514637, 0.041941715615570273, 0.041952810706454437, 0.041962859303547574, 0.041971969239096109, 0.041980236933516719, 0.041987748413989667, 0.041994580350648958, 0.042000801050700434, 0.042006471381033986, 0.042011645607315316, 0.042016372147378224, 0.042020694242079694, 0.042024650549469848, 0.042028275669269907, 0.042031600604903803, 0.042034653170093701, 0.042037458346543939, 0.042040038598642443, 0.042042414150484077, 0.042044603229913872, 0.042046622283721719, 0.042048486167606043, 0.042050208314063017, 0.042051800880952332, 0.042053274883132749, 0.042054640309250733, 0.04205590622549276, 0.042057080867880028, 0.042058171724477351, 0.042059185608714675, 0.042060128724865892, 0.042061006726597162, 0.042061824769383895, 0.04206258755749457, 0.042063299386155349, 0.042063964179433325, 0.042064585524311429, 0.042065166701372059, 0.042065710712456628, 0.042066220305624888, 0.042066697997700866, 0.042067146094658933, 0.042067566710074465, 0.042067961781838706, 0.042068333087314697, 0.042068682257091553, 0.042069010787477788, 0.042069320051858088, 0.042069611311025011, 0.042069885722585992, 0.042070144349533288, 0.042070388168058061, 0.042070618074678864, 0.042070834892749293, 0.042071039378401523, 0.042071232225978465, 0.042071414072999587, 0.042071585504703267, 0.042071747058202991, 0.042071899226290704, 0.04207204246091846, 0.042072177176386089, 0.042072303752258802, 0.042072422536037976, 0.04207253384560547, 0.042072637971458743, 0.042072735178754421, 0.042072825709174561, 0.042072909782629446, 0.042072987598808356, 0.042073059338590076, 0.04207312516532264, 0.042073185225980698, 0.04207323965220898, 0.042073288561258873, 0.042073332056823967, 0.042073370229780534, 0.042073403158837681, 0.042073430911101377, 0.04207345354255633, 0.042073471098468276, 0.042073483613709911, 0.042073491113012222, 0.042073493611142723, 0.042073492362466103, 0.04207348861864698, 0.042073482386318764, 0.042073473676540352, 0.042073462504801359, 0.042073448891029243, 0.042073432859598178, 0.042073414439340179, 0.042073393663558251, 0.042073370570041263, 0.042073345201080969, 0.042073317603490576, 0.042073287828625863, 0.042073255932407225, 0.042073221975344313, 0.042073186022561861, 0.042073148143827649, 0.042073108413581653, 0.042073066910967245, 0.04207302371986326, 0.042072978928918335, 0.042072932631585749, 0.042072884926159994, 0.042072835915814233, 0.042072785708639093, 0.042072734417681869, 0.042072682160986731, 0.042072629061635759, 0.042072575247789797, 0.042072520852729986, 0.042072466014899189, 0.042072410877943195, 0.04207235559075146, 0.042072300307496972, 0.042072245187675508, 0.042072190396142975, 0.042072136103151601, 0.042072082484383509, 0.042072029720982146, 0.042071977999580741, 0.042071927512326829, 0.042071878456903453, 0.042071831036545049, 0.042071785460048639, 0.042071741941778443, 0.042071700701664307, 0.042071661965192166, 0.042071625963386101, 0.042071592932780857, 0.042071563115383744, 0.042071536758624878, 0.042071514115294209, 0.042071495443464238, 0.042071481006396627, 0.042071471072431317, 0.042071465914856283, 0.042071465811755991, 0.042071471045836112, 0.042071481904223058, 0.042071498678235009, 0.042071521663122148, 0.042071551157773321, 0.042071587464385433, 0.04207163088809307, 0.042071681736553644, 0.042071740319484928, 0.042071806948149944, 0.042071881934785386, 0.04207196559196736, 0.042072058231910417, 0.042072160165692575, 0.042072271702400917, 0.042072393148190612, 0.042072524805249943, 0.042072666970663392, 0.042072819935164013, 0.042072983981766433, 0.042073159384269788, 0.042073346405620562, 0.042073545296123407, 0.042073756291488344, 0.042073979610700404, 0.042074215453698029, 0.042074463998845867, 0.04207472540018467, 0.042074999784442554, 0.042075287247788654, 0.042075587852310817, 0.042075901622195912, 0.042076228539592815, 0.042076568540134231, 0.042076921508094396, 0.042077287271158004, 0.042077665594773946, 0.042078056176068399, 0.042078458637287881, 0.042078872518746292, 0.042079297271245417, 0.042079732247940413, 0.042080176695622036, 0.042080629745385574, 0.042081090402660233, 0.042081557536570932, 0.042082029868609455, 0.042082505960591661, 0.042082984201883111, 0.042083462795879142, 0.042083939745730589, 0.042084412839313516, 0.042084879633450006, 0.042085337437396828, 0.042085783295629245, 0.042086213969963336, 0.042086625921073588, 0.042087015289483214, 0.042087377876123065, 0.042087709122580731, 0.042088004091186584, 0.042088257445112666, 0.042088463428693684, 0.042088615848212531, 0.04208870805343197, 0.042088732920192364, 0.042088682834438396, 0.042088549678078423, 0.042088324817125322, 0.04208799909260668, 0.042087562814774174, 0.042085485793592031, 0.042082014548593248, 0.042076806096256518, 0.042069487000757272, 0.042059667810534863, 0.042046963714176815, 0.04203102045624918, 0.042011543036910605, 0.041988323281991445, 0.041961261536465712, 0.041930377930116385, 0.041895809971511329, 0.04185779532013207, 0.041816640927802941, 0.041772681843706617, 0.041726234503079586, 0.04167755000166657, 0.041626772503513293, 0.041573906604360847, 0.041518795670749627, 0.041461111760511503, 0.041400357743943191, 0.041335884913522428, 0.041266936710752856, 0.041192745752482628, 0.041112748499933939, 0.04102706955741664, 0.040937648536976907, 0.04085098514651675, 0.040785288734992611, 0.040790970064732437, 0.041018035788696727, 0.041988041042408233, 0.046118434988044237, 0.073500249180721774, 0.3912860525237129, 0.10641582499055474, 0.065970488243678738, 0.055860426545882094, 0.051718113257299497, 0.049568685868247093, 0.048292726634246524, 0.04746835489316821, 0.046904794203635816, 0.046504208411478933, 0.046211536048931232, 0.045993463669017347, 0.045828616598443998, 0.045702587543317442, 0.045605246248251019, 0.045529205022986553, 0.045468905808343479, 0.045420058355362773, 0.045379284952613369, 0.04534389060098306, 0.045311711135393021, 0.045281010394840622, 0.045250408297940518, 0.045218828181658684, 0.045185455870792639, 0.045149705656807405, 0.045111190213340507, 0.045069692756734267, 0.045025140640230943, 0.044977580151204545, 0.044927152631152434, 0.044874072212425183, 0.044818605510707953, 0.044761053569776277, 0.044701736261156012, 0.044640979225551485, 0.044579103327424922, 0.044516416493712442, 0.044453207730498642, 0.04438974306030407, 0.044326263096338164, 0.044262981965060469, 0.044200087299934944, 0.044137741052373794, 0.044076080895973022, 0.044015222033431903, 0.04395525924908758, 0.043896269081730388, 0.04383831202100863, 0.04378143465560673, 0.043725671722286974, 0.043671048021924501, 0.043617580182167139, 0.043565278256724967, 0.043514147159016379, 0.043464187933423659, 0.043415398871168367, 0.043367776480196144, 0.043321316319773949, 0.043276013711036419, 0.043231864334685427, 0.043188864726624844, 0.043147012681646377, 0.043106307574466984, 0.043066750606541422, 0.043028344986189931, 0.042991096048731629, 0.042955011322530261, 0.042920100546155054, 0.042886375641255178, 0.042853850645233345, 0.042822541607401204, 0.042792466451989065, 0.042763644811168518, 0.042736097831119375, 0.042709847954126731, 0.0426849186797097, 0.042661334307862217, 0.042639119667605731, 0.042618299834201775, 0.042598899838536167, 0.042580944372351819, 0.042564457493151867, 0.042549462332719348, 0.042535980813267683, 0.042524033375260291, 0.042513638720888404, 0.042504813577074384, 0.042497572481670506, 0.04249192759623719, 0.042487888548429477, 0.042485462306582712, 0.042484653088586198, 0.04248519257901183, 0.042486810248919253, 0.04248950369851718, 0.042493268942471851, 0.042498100431146289, 0.042503991079857514, 0.042510932305682127, 0.042518914071211104, 0.042527924934534063, 0.042537952104618693, 0.042548981501140226, 0.042560997817715926, 0.042573984587405272, 0.042587924249248843, 0.042602798214540175, 0.042618586931448953, 0.042635269946550779, 0.042652825961750629, 0.042671232885033397, 0.042690467873418007, 0.042710507366438791, 0.042731327108430223, 0.042752902157839105, 0.042775206881746283, 0.042798214933734015, 0.042821899213196471, 0.042846231804159994, 0.042871183891658657, 0.042896725653703595, 0.042922826126905171, 0.042949453043854023, 0.042976572640462278, 0.043004149431617955, 0.043032145953728632, 0.043060522473057673, 0.043089236659196208, 0.043118243223605815, 0.043147493523939894, 0.043176935135836182, 0.043206511395110739, 0.043236160914808142, 0.0432658170834102, 0.043295407552703689, 0.04332485372637692, 0.043354070263356859, 0.043382964613191577, 0.043411436604372446, 0.04343937811028005, 0.043466672821274983, 0.043493196155122753, 0.043518815341156071, 0.043543389715964997, 0.043566771269533636, 0.04358880548009763, 0.043609332473044382, 0.043628188533374093, 0.043645207992107818, 0.043660225494229432, 0.043673078639167202, 0.043683610964672132, 0.043691675221850933, 0.04369713686416523, 0.043699877648004461, 0.043699799219021097, 0.043696826539155242, 0.043690910996649041, 0.043682033037681561, 0.043670204165345762, 0.043655468170522529, 0.043637901489647031, 0.043617612625008614, 0.043594740611414266, 0.043569452565073982, 0.043541940402048465, 0.043512416860006474, 0.043481110994265097, 0.043448263343959931, 0.043414120974884646, 0.043378932601745787, 0.043342943975478526, 0.043306393693288994, 0.04326950955350433, 0.04323250553776694, 0.043195579463175343, 0.043158911309737272, 0.043122662196330319, 0.043086973952766582, 0.043051969217195209, 0.04301775197686572, 0.042984408465568349, 0.042952008331829022, 0.042920605996942293, 0.042890242129921929, 0.042860945176263751, 0.042832732888044803, 0.042805613813524775, 0.042779588714482446, 0.042754651888610301, 0.042730792382193628, 0.042707995084915122, 0.042686241703976613, 0.042665511618893238, 0.042645782621421102, 0.042627031547273375, 0.042609234807714023, 0.042592368829941281, 0.042576410415516498, 0.042561337026075459, 0.042547127005281814, 0.042533759745522058, 0.042521215807269232, 0.04250947699840589, 0.042498526420135165, 0.042488348485450932, 0.042478928915500633, 0.042470254718574407, 0.042462314155893022, 0.042455096697855667, 0.042448592973940977, 0.042442794719033616, 0.042437694718569147, 0.042433286754551457, 0.042429565554189738, 0.042426526742630873, 0.042424166801013179, 0.042422483030842853, 0.042421473525490125, 0.042421137149406839], [0.042936226285925833, 0.042936967357058327, 0.042939190392525313, 0.04294289487652217, 0.042948080009375597, 0.042954744797706536, 0.042962888181002259, 0.042972509194998926, 0.042983607172464709, 0.042996181982227585, 0.043010234307624892, 0.043025765965972747, 0.043042780271196443, 0.043061282442444594, 0.043081280062358888, 0.043102783589725316, 0.04312580693253984, 0.043150368089130517, 0.043176489866962292, 0.043204200691209317, 0.043233535518216661, 0.043264536872761342, 0.043297256032744549, 0.043331754390895087, 0.043368105030575886, 0.043406394562352409, 0.043446725280255442, 0.043489217712521129, 0.043534013662248454, 0.043581279860545732, 0.043631212390692814, 0.043684042089956666, 0.043740041200678176, 0.043799531630967885, 0.043862895307804087, 0.043930587276374881, 0.044003152441461933, 0.044081247193644521, 0.044165667668066316, 0.044257387130216513, 0.04435760610675081, 0.04446782060242583, 0.044589916442294306, 0.044726302101465831, 0.044880099490708349, 0.045055424183165355, 0.045257807548600079, 0.045494851239464729, 0.045777276103298584, 0.0461206692487931, 0.046548528997790668, 0.047097867595493795, 0.047830223366196259, 0.048855157829608309, 0.050385954954121751, 0.05289150461152111, 0.057600535095980322, 0.068760587862859712, 0.11056227783596854, 0.37679907189416839, 0.087032150992430876, 0.049231722458330678, 0.043399835400006609, 0.041970361668709884, 0.041597063968708964, 0.041550889238258185, 0.041617386464090654, 0.041721546469618384, 0.041834324691316531, 0.041943907566323234, 0.0420455221142432, 0.04213743665658401, 0.042219274237920365, 0.042291265900586142, 0.042353910736468901, 0.042407819999136523, 0.042453646619830337, 0.042492054376884768, 0.042523704812939572, 0.042549251282931522, 0.042569335102428767, 0.042584581632884852, 0.042595595637503168, 0.042602956003689067, 0.042607210270580578, 0.042608869492927623, 0.04260840391852979, 0.042606239824904954, 0.042602757701099753, 0.042598291806673572, 0.042593131013055049, 0.042587520742821551, 0.042581665771486324, 0.04257573363969451, 0.042569858433678644, 0.042564144719771387, 0.042558671456637207, 0.04255349575007375, 0.042548656354971598, 0.042544176864299406, 0.04254006855427192, 0.042536332877744706, 0.042532963614684512, 0.04252994870003645, 0.042527271756389533, 0.042524913362485171, 0.042522852089716449, 0.042521065338079173, 0.042519530001186009, 0.042518222987414485, 0.042517121621387433, 0.042516203947026571, 0.042515448950549511, 0.042514836719096748, 0.042514348548240606, 0.042513967009463784, 0.04251367598680824, 0.042513460690267638, 0.042513307652115348, 0.042513204711194894, 0.04251314098922751, 0.04251310686238597, 0.042513093930721738, 0.04251309498748803, 0.042513103989960235, 0.042513116032994951, 0.042513127326275053, 0.042513135175950456, 0.042513137971184542, 0.042513135917498029, 0.042513129752083718, 0.042513119461843024, 0.042513105024829842, 0.04251308641007763, 0.042513063577355258, 0.042513036476850792, 0.042513005048780493, 0.04251296922292095, 0.042512928918061327, 0.042512884041371601, 0.042512834487683129, 0.042512780138676778, 0.042512720861972324, 0.042512656510114481, 0.042512586919446996, 0.042512511908868386, 0.042512431278459689, 0.04251234480797552, 0.042512252255187004, 0.042512153354064629, 0.042512047812789083, 0.042511935311573733, 0.042511815500283871, 0.042511687995834289, 0.042511552379345501, 0.042511408193036546, 0.042511254936829952, 0.042511092064642493, 0.042510918980330832, 0.042510735033259965, 0.04251053951345677, 0.042510331646308616, 0.04251011058676088, 0.042509875412963416, 0.042509625119309551, 0.042509358608805239, 0.042509074684698313, 0.042508772041289902, 0.042508449253841847, 0.042508104767481847, 0.042507736884998239, 0.042507343753402364, 0.042506923349121886, 0.04250647346167135, 0.042505991675628185, 0.042505475350719198, 0.042504921599799843, 0.042504327264478801, 0.042503688888109951, 0.042503002685836809, 0.042502264511332315, 0.042501469819830481, 0.042500613626990105, 0.04249969046307002, 0.042498694321821275, 0.042497618603420328, 0.042496456050670914, 0.042495198677592577, 0.042493837689386749, 0.042492363392624972, 0.042490765094334346, 0.042489030988459443, 0.042487148027955397, 0.042485101780505824, 0.042482876265559633, 0.042480453770038798, 0.042477814639673955, 0.042474937042481939, 0.042471796700395734, 0.042468366584503744, 0.042464616568750765, 0.04246051303632082, 0.042456018432294719, 0.042451090755616462, 0.042445682983030239, 0.042439742417650535, 0.042433209955531667, 0.042426019265545331, 0.042418095881954991, 0.042409356216785883, 0.042399706512931255, 0.0423890417831186, 0.042377244821564269, 0.042364185446740289, 0.042349720256815056, 0.042333693392539444, 0.042315939175564025, 0.042296288153163705, 0.042274579280086856, 0.042250683188387032, 0.042224545714994226, 0.042196269128066448, 0.042166265313660668, 0.04213555089259885, 0.042106333988443836, 0.042083231579266939, 0.042075939210830839, 0.042105522176036983, 0.042220702534520899, 0.042545686170310355, 0.043447576961855465, 0.046296573204673175, 0.05871047691907666, 0.1532155899809981, 0.12906692315767671, 0.069092878364855337, 0.056040248288502299, 0.051278132573871482, 0.048971921007351517, 0.047657768825442606, 0.046827326846570837, 0.046264214150147774, 0.045862647560028502, 0.045565462577908847, 0.045339337813159027, 0.045163668776849339, 0.045025101208819203, 0.044914645869356826, 0.044826064550876364, 0.044754922836004886, 0.044698011612457234, 0.044652982063483268, 0.044618109343263719, 0.044592136787772005, 0.044574172442392597, 0.044563621000614714, 0.044560140959673179, 0.044563621000614694, 0.044574172442392604, 0.044592136787772019, 0.044618109343263726, 0.044652982063483282, 0.044698011612457129, 0.044754922836004983, 0.044826064550876427, 0.044914645869356881, 0.045025101208819467, 0.045163668776849401, 0.045339337813159082, 0.045565462577908715, 0.045862647560028454, 0.046264214150147601, 0.046827326846570871, 0.047657768825442225, 0.048971921007350358, 0.051278132573874292, 0.056040248288508232, 0.069092878364853644, 0.12906692315770329, 0.15321558998085041, 0.058710476919072996, 0.046296573204672446, 0.04344757696185482, 0.042545686170310397, 0.04222070253452094, 0.042105522176036983, 0.042075939210830894, 0.04208323157926696, 0.04210633398844385, 0.042135550892598857, 0.042166265313660724, 0.042196269128066441, 0.042224545714994177, 0.042250683188387012, 0.042274579280086877, 0.042296288153163705, 0.042315939175564053, 0.042333693392539451, 0.042349720256815028, 0.04236418544674031, 0.042377244821564276, 0.042389041783118579, 0.042399706512931241, 0.042409356216785883, 0.042418095881954998, 0.042426019265545331, 0.042433209955531681, 0.042439742417650549, 0.042445682983030183, 0.042451090755616455, 0.042456018432294712, 0.042460513036320813, 0.042464616568750752, 0.042468366584503758, 0.04247179670039572, 0.042474937042481904, 0.042477814639673928, 0.04248045377003877, 0.04248287626555964, 0.042485101780505803, 0.042487148027955432, 0.04248903098845945, 0.04249076509433436, 0.042492363392624979, 0.042493837689386742, 0.042495198677592556, 0.042496456050670949, 0.042497618603420328, 0.04249869432182124, 0.042499690463070013, 0.042500613626990119, 0.042501469819830516, 0.042502264511332329, 0.042503002685836795, 0.042503688888109958, 0.04250432726447876, 0.04250492159979985, 0.042505475350719232, 0.042505991675628185, 0.042506473461671336, 0.042506923349121879, 0.042507343753402378, 0.042507736884998232, 0.042508104767481847, 0.042508449253841826, 0.042508772041289875, 0.042509074684698313, 0.042509358608805239, 0.042509625119309551, 0.042509875412963388, 0.042510110586760887, 0.042510331646308637, 0.042510539513456784, 0.042510735033259937, 0.042510918980330839, 0.042511092064642458, 0.042511254936829945, 0.042511408193036573, 0.042511552379345521, 0.042511687995834269, 0.042511815500283864, 0.042511935311573712, 0.042512047812789069, 0.042512153354064657, 0.042512252255186983, 0.042512344807975548, 0.042512431278459703, 0.042512511908868372, 0.042512586919446982, 0.042512656510114495, 0.042512720861972352, 0.042512780138676771, 0.04251283448768315, 0.042512884041371594, 0.04251292891806132, 0.042512969222920957, 0.042513005048780472, 0.042513036476850792, 0.042513063577355265, 0.042513086410077616, 0.042513105024829856, 0.042513119461843052, 0.042513129752083753, 0.042513135917498036, 0.042513137971184493, 0.042513136944715882, 0.042513133867630573, 0.042513128746891372, 0.042513121594106321, 0.04251311242553403, 0.042513101262091027, 0.042513088129360901, 0.042513073057605856, 0.042513056081780187, 0.042513037241545579, 0.042513016581288664, 0.042512994150140281, 0.042512970001996976, 0.042512944195543939, 0.042512916794280188, 0.042512887866545251, 0.042512857485547888, 0.042512825729396034, 0.042512792681128952, 0.042512758428750068, 0.042512723065262263, 0.042512686688703644, 0.042512649402184986, 0.042512611313928202, 0.042512572537305914, 0.042512533190881704, 0.042512493398451111, 0.042512453289083492, 0.042512412997163761, 0.042512372662434565, 0.042512332430038498, 0.042512292450559784, 0.042512252880065542, 0.042512213880146144, 0.042512175617954603, 0.042512138266244157, 0.042512102003404287, 0.042512067013494109, 0.042512033486273519, 0.042512001617230705, 0.042511971607606003, 0.0425119436644118, 0.042511918000446909, 0.042511894834305841, 0.04251187439038135, 0.042511856898860015, 0.042511842595709802, 0.042511831722658322, 0.042511824527161436, 0.042511821262360139, 0.042511822187025788, 0.042511827565490795, 0.042511837667564653, 0.042511852768432903, 0.042511873148537861, 0.042511899093438638, 0.042511930893649449, 0.042511968844452526, 0.042512013245684967, 0.042512064401495631, 0.042512122620070092, 0.04251218821332016, 0.042512261496535024, 0.042512342787990418, 0.042512432408511963, 0.04251253068098864, 0.042512637929831683, 0.04251275448037467, 0.042512880658208796, 0.042513016788448599, 0.042513163194921391, 0.042513320199274084, 0.042513488119990679, 0.042513667271312471, 0.042513857962052967, 0.042514060494298594, 0.042514275161986283, 0.042514502249347122, 0.042514742029205688, 0.042514994761123276, 0.042515260689372801, 0.042515540040731686, 0.042515833022078647, 0.042516139817779797, 0.042516460586846792, 0.042516795459851167, 0.042517144535575722, 0.042517507877384238, 0.042517885509288866, 0.04251827741169447, 0.042518683516796253, 0.042519103703608493, 0.04251953779259908, 0.04251998553990427, 0.042520446631098288, 0.042520920674489024, 0.042521407193914486, 0.042521905621009944, 0.04252241528691849, 0.042522935413417617, 0.042523465103433217, 0.042524003330915994, 0.042524548930054112, 0.042525100583800712, 0.042525656811695449, 0.042526215956964708, 0.042526776172889275, 0.04252733540843362, 0.042527891393138728, 0.042528441621288923, 0.04252898333537352, 0.042529513508874739, 0.042530028828429711, 0.042530525675427935, 0.042531000107126418, 0.042531447837383038, 0.042531864217134938, 0.04253224421477253, 0.042532582396590232, 0.04253287290752629, 0.04253310945243749, 0.042533285278192771, 0.042533393156906539, 0.042533425370674303, 0.042533373698212647, 0.042533229403847919, 0.042532983229336033, 0.042532625389034372, 0.042530776118583968, 0.042527519698505899, 0.042522511706186338, 0.042515378154425305, 0.042505730043950127, 0.042493184011012458, 0.042477388110601678, 0.04245805030713682, 0.042434965842043142, 0.042408038806301222, 0.042377293387825594, 0.042342871508892994, 0.042305015651848861, 0.042264038073000089, 0.042220279783490133, 0.04217406420478511, 0.042125650987638139, 0.042075194985215177, 0.042022713948746487, 0.041968066687736436, 0.041910941999129175, 0.041850858515119889, 0.041787177759530218, 0.041719138765661613, 0.04164593622855154, 0.041566894382289409, 0.041481858995844632, 0.041392103708543515, 0.041302510796400786, 0.041227141758186807, 0.041204753996790106, 0.041347742610799189, 0.042027440753672547, 0.044807839791035739, 0.060265042063337444, 0.27262521810620005, 0.14302288097916693, 0.072518806265723115, 0.058489336541567877, 0.053268695443459774, 0.050693435344589123, 0.04921099764831869, 0.04827266338124378, 0.047640504789706099, 0.047196081993809043, 0.046874206293286494, 0.046636115687470954, 0.046457283276554739, 0.046321363836634315, 0.046216971539799964, 0.046135866820070273, 0.046071889807530624, 0.04602031028291776, 0.045977420083904715, 0.045940271439260341, 0.045906505260967942, 0.045874235635695239, 0.045841969478882964, 0.045808547941110285, 0.045773100945504269, 0.045735009376814725, 0.045693871575293983, 0.045649472259200699, 0.045601753004019224, 0.045550784062541018, 0.045496737698777275, 0.045439863394259018, 0.045380465323129178, 0.04531888243186559, 0.045255471342973905, 0.045190592163898945, 0.045124597148060157, 0.045057822040775831, 0.044990579857478535, 0.044923156787351481, 0.04485580989023915, 0.044788766253666984, 0.04472222329416211, 0.044656349916832767, 0.044591288284007047, 0.044527155983315837, 0.044464048424682559, 0.044402041332054221, 0.044341193228063146, 0.044281547837530459, 0.044223136358710849, 0.044165979569661798, 0.044110089751552395, 0.044055472421633837, 0.044002127876555504, 0.04395005255226668, 0.043899240210389816, 0.043849682963130354, 0.04380137214985208, 0.043754299078708717, 0.043708455646417538, 0.043663834848576236, 0.043620431192015398, 0.043578241019643423, 0.04353726275716905, 0.043497497090032686, 0.043458947077882691, 0.043421618213024024, 0.04338551842845989, 0.043350658060456383, 0.043317049769977661, 0.043284708426880841, 0.043253650960406037, 0.043223896179250106, 0.043195464564361588, 0.043168378037532845, 0.043142659708870705, 0.043118333606301788, 0.043095424390387375, 0.043073957057873855, 0.043053956637573679, 0.043035447882343168, 0.04301845496107564, 0.043003001154759156, 0.042989108560722085, 0.04297679780921812, 0.042966087796454548, 0.042956995438045341, 0.042949535446670475, 0.042943720137428511, 0.042939559264006964, 0.042937059888342295, 0.042936226285925833, 0.042936782032530679, 0.042938448456762618, 0.04294122311635281, 0.04294510195570863, 0.04295007932794967, 0.042956148025263229, 0.042963299317092682, 0.042971522995537761, 0.042980807427220678, 0.042991139610753182, 0.043002505238824561, 0.043014888763826725, 0.043028273465833863, 0.043042641521662886, 0.043057974073658467, 0.043074251296765932, 0.043091452462388879, 0.043109555997455778, 0.043128539537061, 0.043148379968984935, 0.043169053468338617, 0.043190535520525417, 0.0432128009306528, 0.043235823817478619, 0.043259577589921605, 0.043284034904117391, 0.043309167598962327, 0.043334946608053419, 0.043361341845916931, 0.043388322066425386, 0.043415854691340627, 0.043443905607004576, 0.04347243892734387, 0.043501416721572157, 0.043530798705300341, 0.043560541894211498, 0.043590600220062788, 0.043620924109576145, 0.043651460027805004, 0.043682149988861323, 0.043712931038494184, 0.043743734714968355, 0.043774486497031424, 0.043805105250505974, 0.043835502688203118, 0.043865582861409624, 0.043895241705092916, 0.043924366663102697, 0.043952836423858763, 0.043980520801075437, 0.044007280797673368, 0.044032968893770216, 0.044057429601046527, 0.044080500325293696, 0.044102012575971496, 0.044121793555532869, 0.044139668151574739, 0.044155461341156124, 0.044169000998747626, 0.044180121077448065, 0.044188665107988655, 0.044194489932837727, 0.044197469565158777, 0.044197499036709421, 0.04419449807761161, 0.04418841445701667, 0.044179226809596892, 0.044166946780516352, 0.044151620342146466, 0.044133328169132062, 0.044112185002916277, 0.044088337989524086, 0.044061964031175856, 0.044033266248296871, 0.044002469698719376, 0.043969816540847681, 0.043935560853846617, 0.043899963338598448, 0.043863286118023717, 0.043825787835787347, 0.04378771922117259, 0.043749319248662655, 0.043710811977552159, 0.043672404113611285, 0.043634283294781792, 0.04359661706860115, 0.04355955250208627, 0.043523216345785702, 0.043487715662451208, 0.043453138826506074, 0.043419556802021711, 0.043387024612891859, 0.043355582927947091, 0.043325259694611956, 0.043296071766303464, 0.043268026480260312, 0.043241123153264845, 0.043215354472374179, 0.043190707766104043, 0.043167166148427992, 0.043144709533502384, 0.043123315523307143, 0.043102960173544896, 0.043083618645336483, 0.043065265751648887, 0.043047876408158645, 0.04303142599852685, 0.043015890663967132, 0.043001247526634041, 0.042987474855823618, 0.042974552185338057, 0.04296246038966485, 0.042951181725903662, 0.042940699847666748, 0.042930999796498753, 0.042922067975724433, 0.042913892111041838, 0.042906461201640211, 0.042899765465132786, 0.042893796279155891, 0.042888546122090664, 0.042884008515014227, 0.042880177966668126, 0.042877049922954241, 0.042874620722210426, 0.042872887557288068, 0.042871848445244679, 0.042871502205265151], [0.043716931449476325, 0.043717700237558166, 0.043720006437992148, 0.043723849578313156, 0.043729228934363228, 0.043736143625405177, 0.04374459274767907, 0.043754575546862136, 0.043766091630102436, 0.043779141218579246, 0.043793725441910361, 0.043809846676188535, 0.04382750892802488, 0.043846718267722407, 0.043867483315631443, 0.043889815786891183, 0.043913731101190019, 0.043939249065939094, 0.043966394643426103, 0.043995198815213306, 0.0440256995603793, 0.044057942968370838, 0.044091984512435491, 0.04412789051617378, 0.044165739854059118, 0.044205625937382982, 0.044247659050718924, 0.044291969121655402, 0.044338709029609187, 0.044388058589903336, 0.044440229389649859, 0.044495470706133092, 0.044554076811757104, 0.044616396070117942, 0.04468284236695233, 0.044753909614864903, 0.044830190347891943, 0.044912399821139801, 0.045001407614395875, 0.045098279606097677, 0.045204334496642191, 0.045321221085262126, 0.045451025697363021, 0.045596424313078178, 0.045760902489656495, 0.045949080750156281, 0.046167208834343526, 0.046423939326449767, 0.046731581265578331, 0.047108215344499466, 0.047581437617965155, 0.048195377197591795, 0.049024809670206039, 0.050206159248090548, 0.052013839609557778, 0.055079588038744576, 0.061178679455309838, 0.077220625019932848, 0.15257312984822169, 0.29467785155555554, 0.067379797101657118, 0.047281075217836824, 0.043503468126930414, 0.042526757813211115, 0.042291372227284761, 0.042295943459984289, 0.042383566237197814, 0.042497337893699146, 0.0426148087940698, 0.042726825481946749, 0.04282976778239133, 0.042922428618405319, 0.043004677046272269, 0.043076861172677713, 0.043139536109320704, 0.043193340344047079, 0.043238941100060518, 0.043277011415744401, 0.043308220966370804, 0.043333231911058173, 0.043352695697634135, 0.043367249176846742, 0.043377509652556955, 0.043384069141479943, 0.043387488393794957, 0.043388291278238629, 0.043386960053012028, 0.043383931891176605, 0.043379596853459684, 0.04337429733590048, 0.043368328885288264, 0.043361942181515914, 0.043355345933649043, 0.04334871042054806, 0.043342171418891261, 0.043335834292146297, 0.043329778054840395, 0.04332405927044377, 0.043318715683325251, 0.043313769522463484, 0.043309230445362702, 0.043305098114556712, 0.043301364416574603, 0.043298015345113267, 0.043295032577427464, 0.043292394776624256, 0.04329007865358684, 0.043288059821438588, 0.043286313473452187, 0.043284814912600167, 0.043283539957905029, 0.043282465249635943, 0.043281568472388551, 0.043280828512279372, 0.043280225561946196, 0.043279741184793573, 0.043279358347961594, 0.043279061431808319, 0.043278836222265471, 0.043278669891222747, 0.043278550969092083, 0.043278469312873331, 0.04327841607236084, 0.043278383656571814, 0.043278365702024688, 0.043278357044126831, 0.043278353692631916, 0.043278352811884073, 0.043278352706363966, 0.043278351081064599, 0.04327834620132847, 0.043278338055607914, 0.043278326624544089, 0.043278311880797643, 0.043278293788809631, 0.043278272304491695, 0.043278247374843155, 0.043278218937492702, 0.043278186920161485, 0.043278151240044235, 0.043278111803104015, 0.04327806850327634, 0.043278021221576271, 0.043277969825103998, 0.043277914165940359, 0.043277854079925904, 0.043277789385314125, 0.043277719881290123, 0.043277645346343249, 0.043277565536482515, 0.043277480183281848, 0.043277388991740426, 0.043277291637942021, 0.043277187766496021, 0.043277076987740373, 0.043276958874684392, 0.043276832959667784, 0.043276698730709245, 0.043276555627514368, 0.043276403037111201, 0.043276240289076, 0.043276066650309454, 0.043275881319318213, 0.043275683419951812, 0.043275471994539627, 0.043275245996365966, 0.043275004281414176, 0.043274745599302875, 0.043274468583328993, 0.043274171739520889, 0.043273853434594535, 0.043273511882692704, 0.043273145130771934, 0.043272751042486311, 0.043272327280397954, 0.043271871286322774, 0.04327138025959669, 0.043270851133018734, 0.043270280546197588, 0.043269664815991343, 0.043268999903689952, 0.043268281378543043, 0.043267504377181853, 0.043266663558423589, 0.043265753052874854, 0.043264766406670714, 0.043263696518591549, 0.043262535569693311, 0.0432612749444614, 0.043259905142356447, 0.043258415678453378, 0.043256794971684151, 0.04325503021897413, 0.043253107253306194, 0.043251010383451853, 0.04324872221277181, 0.043246223434097758, 0.043243492597266474, 0.043240505845373811, 0.043237236615255956, 0.04323365529708554, 0.043229728847305179, 0.043225420348436752, 0.043220688508644127, 0.043215487093386851, 0.043209764281223674, 0.043203461936073335, 0.043196514789440629, 0.043188849528989562, 0.043180383795586592, 0.043171025101548091, 0.043160669701666515, 0.043149201481368839, 0.043136490982861798, 0.043122394787360616, 0.043106755639537454, 0.04308940399323416, 0.043070162174583343, 0.043048853286785239, 0.043025318680862082, 0.04299945100780405, 0.042971256032619427, 0.042940968712007595, 0.042909274660725583, 0.042877743973124591, 0.042849713012425718, 0.042832166550585554, 0.042840018395150101, 0.042906685098192857, 0.043113219922017804, 0.043681502146463123, 0.045343485603245755, 0.051377758403984952, 0.086752318147962304, 0.20935228103472581, 0.087154381740385978, 0.061714390023440036, 0.054179877666015709, 0.050915278326231217, 0.049174329073733487, 0.048120809812207385, 0.047427657008422899, 0.046944107776113478, 0.046592134493432434, 0.046327732243466979, 0.046124389520808766, 0.045965280497243806, 0.045839272394604405, 0.045738749059708636, 0.045658360838883569, 0.045594274823102902, 0.045543708967285296, 0.045504634345657782, 0.045475581003116182, 0.045455510162362031, 0.045443730768950329, 0.045439847241088481, 0.045443730768950308, 0.045455510162362031, 0.045475581003116182, 0.045504634345657789, 0.045543708967285289, 0.045594274823102784, 0.04565836083888368, 0.045738749059708705, 0.045839272394604474, 0.045965280497244111, 0.046124389520808828, 0.046327732243467042, 0.046592134493432268, 0.04694410777611345, 0.047427657008422698, 0.048120809812207475, 0.049174329073732995, 0.050915278326229642, 0.054179877666019713, 0.061714390023449708, 0.087154381740382786, 0.2093522810347658, 0.086752318147903296, 0.051377758403983433, 0.045343485603245227, 0.043681502146462693, 0.043113219922017831, 0.042906685098192891, 0.042840018395150108, 0.042832166550585617, 0.042849713012425739, 0.042877743973124598, 0.042909274660725624, 0.042940968712007643, 0.04297125603261942, 0.042999451007804008, 0.043025318680862061, 0.043048853286785253, 0.043070162174583336, 0.043089403993234181, 0.043106755639537461, 0.043122394787360588, 0.04313649098286184, 0.043149201481368853, 0.043160669701666481, 0.043171025101548077, 0.043180383795586613, 0.043188849528989562, 0.043196514789440615, 0.043203461936073335, 0.043209764281223688, 0.043215487093386795, 0.043220688508644106, 0.043225420348436752, 0.043229728847305166, 0.043233655297085505, 0.043237236615255976, 0.043240505845373797, 0.04324349259726646, 0.043246223434097723, 0.043248722212771776, 0.043251010383451846, 0.043253107253306174, 0.043255030218974151, 0.043256794971684151, 0.043258415678453399, 0.043259905142356454, 0.043261274944461386, 0.04326253556969327, 0.043263696518591584, 0.0432647664066707, 0.043265753052874834, 0.043266663558423582, 0.043267504377181881, 0.043268281378543084, 0.043268999903689959, 0.043269664815991336, 0.043270280546197588, 0.043270851133018713, 0.043271380259596696, 0.043271871286322802, 0.043272327280397954, 0.043272751042486304, 0.043273145130771927, 0.043273511882692711, 0.043273853434594535, 0.043274171739520889, 0.043274468583328979, 0.043274745599302868, 0.043275004281414182, 0.04327524599636598, 0.043275471994539627, 0.043275683419951784, 0.043275881319318213, 0.043276066650309468, 0.043276240289076028, 0.043276403037111173, 0.043276555627514368, 0.043276698730709197, 0.043276832959667798, 0.043276958874684399, 0.043277076987740387, 0.043277187766496, 0.043277291637942007, 0.043277388991740412, 0.043277480183281834, 0.043277565536482515, 0.043277645346343256, 0.043277719881290151, 0.04327778938531416, 0.043277854079925904, 0.043277914165940352, 0.043277969825104005, 0.043278021221576306, 0.043278068503276319, 0.043278111803104029, 0.043278151240044235, 0.043278186920161478, 0.043278218937492723, 0.043278247374843162, 0.043278272304491688, 0.043278293788809645, 0.043278311880797622, 0.043278326624544096, 0.043278338055607914, 0.043278346201328477, 0.043278351081064599, 0.043278352706363918, 0.043278351894078027, 0.043278349459668748, 0.043278345410482769, 0.043278339758767922, 0.043278332521678897, 0.043278323721284727, 0.043278313384578347, 0.043278301543488579, 0.043278288234894061, 0.043278273500639078, 0.043278257387551915, 0.043278239947464603, 0.043278221237235355, 0.043278201318772275, 0.043278180259059391, 0.043278158130184319, 0.043278135009368016, 0.043278110978995678, 0.043278086126649969, 0.043278060545145089, 0.043278034332563081, 0.043278007592290814, 0.043277980433058583, 0.043277952968979815, 0.043277925319591751, 0.043277897609896927, 0.043277869970405343, 0.043277842537177348, 0.043277815451866569, 0.043277788861762999, 0.043277762919836232, 0.043277737784778024, 0.043277713621044288, 0.043277690598896072, 0.0432776688944395, 0.043277648689663641, 0.043277630172476787, 0.043277613536739735, 0.04327759898229662, 0.04327758671500205, 0.043277576946743966, 0.043277569895462539, 0.043277565785163015, 0.043277564845923079, 0.043277567313893137, 0.043277573431289108, 0.043277583446376583, 0.043277597613445414, 0.043277616192773573, 0.043277639450579143, 0.043277667658959303, 0.04327770109581465, 0.043277740044757422, 0.04327778479500196, 0.043277835641235933, 0.043277892883469657, 0.04327795682686255, 0.043278027781522795, 0.043278106062279706, 0.043278191988424544, 0.04327828588341763, 0.043278388074558548, 0.043278498892615862, 0.043278618671412958, 0.04327874774736578, 0.043278886458968456, 0.043279035146221854, 0.043279194150000658, 0.043279363811352632, 0.043279544470725607, 0.043279736467114541, 0.043279940137122844, 0.043280155813930472, 0.043280383826160909, 0.043280624496638699, 0.04328087814102833, 0.043281145066345381, 0.043281425569328728, 0.043281719934663378, 0.043282028433041485, 0.043282351319049457, 0.043282688828867134, 0.043283041177764103, 0.043283408557379263, 0.043283791132765155, 0.04328418903918161, 0.043284602378618822, 0.043285031216031583, 0.043285475575262806, 0.043285935434636491, 0.043286410722195828, 0.043286901310563911, 0.043287407011402594, 0.043287927569442879, 0.043288462656062537, 0.043289011862381939, 0.043289574691852982, 0.043290150552312057, 0.043290738747469831, 0.043291338467811448, 0.043291948780879365, 0.043292568620915198, 0.043293196777835469, 0.043293831885521591, 0.043294472409405177, 0.043295116633335164, 0.043295762645718473, 0.043296408324930431, 0.043297051324000649, 0.043297689054587578, 0.043298318670266817, 0.043298937049168422, 0.043299540776015347, 0.04330012612362949, 0.043300689033991993, 0.043301225098964065, 0.043301729540799666, 0.043302197192607139, 0.043302622478945035, 0.043302999396770306, 0.043303321496989511, 0.043303581866900864, 0.043303773113852188, 0.043303887350479651, 0.043303916181931176, 0.043303850695519196, 0.043303681453284004, 0.043303398487985721, 0.043301759673881945, 0.043298688675440677, 0.04329383644966784, 0.043286824908631519, 0.043277261716573298, 0.043264761137077452, 0.043248969965092483, 0.043229596134852104, 0.043206436203885729, 0.043179397052602694, 0.04314850723409925, 0.043113914616224991, 0.043075869057592572, 0.043034691340600867, 0.042990731851928816, 0.042944324048434436, 0.04289573824654392, 0.042845140642092105, 0.042792560936916794, 0.042737870068224437, 0.042680768049797917, 0.042620781619364209, 0.042557273078398426, 0.04248946671731306, 0.042416510448991175, 0.04233761492696346, 0.042252368919736737, 0.042161467335480825, 0.042068448279496427, 0.041984061022723583, 0.041938137974158768, 0.04201569426246602, 0.042486215213027513, 0.044398692598565895, 0.053779819045791995, 0.15107241089209397, 0.21697719517646527, 0.082508585238363172, 0.06216549749335145, 0.05543223059549951, 0.052299122768117823, 0.050556396560389391, 0.049477707509217379, 0.048762302235874244, 0.048265190201865753, 0.047908436936849152, 0.04764654041556806, 0.047451124287271051, 0.047303499672967216, 0.047190773383116273, 0.047103688655259379, 0.047035369768741314, 0.046980564501376769, 0.04693517324572756, 0.046895949069963971, 0.046860302309758239, 0.046826169984050682, 0.046791925477272914, 0.046756312937657508, 0.046718396458961434, 0.046677517778370356, 0.046633258699870103, 0.046585406152192199, 0.046533918943753375, 0.046478896022641603, 0.046420546483145697, 0.046359161757583235, 0.046295090459463756, 0.046228716260125105, 0.046160439036204988, 0.046090659359848608, 0.046019766246515707, 0.04594812794496235, 0.045876085459366125, 0.045803948436258984, 0.045731993025558706, 0.045660461329331971, 0.045589562076679552, 0.045519472201155042, 0.045450339042181577, 0.045382282939082294, 0.045315400031994697, 0.045249765125752441, 0.045185434509481717, 0.045122448655640642, 0.045060834747574136, 0.045000609004742315, 0.044941778790221612, 0.044884344496538761, 0.044828301214080789, 0.044773640191869364, 0.04472035010396809, 0.044668418136710408, 0.044617830912689734, 0.044568575267388021, 0.044520638893687153, 0.044474010868515837, 0.044428682074690383, 0.044384645529718929, 0.044341896632040231, 0.044300433333921113, 0.044260256249073371, 0.044221368702002273, 0.044183776725174331, 0.044147489009305096, 0.044112516811407737, 0.044078873824722399, 0.044046576014245317, 0.044015641421293807, 0.043986089940366922, 0.043957943071482722, 0.043931223651169631, 0.043905955565360137, 0.043882163447554835, 0.043859872365780726, 0.04383910750204361, 0.043819893828154086, 0.043802255781967434, 0.043786216948217375, 0.043771799748203874, 0.04375902514262843, 0.04374791235182518, 0.043738478597512086, 0.043730738869981405, 0.043724705724346981, 0.043720389109089451, 0.043717796229673582, 0.043716931449476325, 0.043717507981232799, 0.043719236740712861, 0.043722115225226704, 0.043726139279141783, 0.043731303116900724, 0.043737599354730448, 0.043745019050534857, 0.043753551751323463, 0.043763185547397936, 0.043773907132393777, 0.043785701868154905, 0.043798553853309101, 0.043812445994309966, 0.043827360077613828, 0.043843276841574186, 0.043860176046550028, 0.043878036541654231, 0.043896836326489455, 0.043916552606156324, 0.043937161837750878, 0.043958639766503819, 0.043980961449653418, 0.044004101266077865, 0.044028032909654721, 0.044052729364251558, 0.044078162858193479, 0.044104304796002095, 0.04413112566515591, 0.044158594915592889, 0.044186680809671461, 0.044215350240331526, 0.044244568515270595, 0.044274299105085665, 0.044304503353544591, 0.044335140148476497, 0.044366165552225945, 0.044397532391238483, 0.044429189805175781, 0.044461082757033372, 0.044493151507100169, 0.044525331055303319, 0.044557550558568033, 0.044589732732327192, 0.044621793248273235, 0.044653640143859537, 0.044685173262919674, 0.044716283751020991, 0.044746853633703086, 0.044776755510402437, 0.044805852401380949, 0.044833997789032146, 0.044861035898089596, 0.04488680226099416, 0.044911124614366686, 0.044933824169524544, 0.044954717293596611, 0.044973617627428256, 0.044990338651672748, 0.045004696693062174, 0.045016514339047617, 0.045025624201508074, 0.045031872940354753, 0.045035125427518995, 0.045035268903496586, 0.045032216955226953, 0.045025913128668764, 0.04501633398484662, 0.045003491416612515, 0.044987434066084991, 0.044968247719501891, 0.044946054605282074, 0.044921011579101985, 0.044893307242160042, 0.044863158100110684, 0.044830803924874742, 0.044796502524724433, 0.044760524155974472, 0.044723145820259762, 0.044684645684613104, 0.044645297839054923, 0.044605367571329949, 0.044565107294887538, 0.04452475321867936, 0.04448452280011856, 0.044444612979224002, 0.044405199155233811, 0.044366434838419969, 0.044328451890049775, 0.044291361252129048, 0.044255254064792193, 0.044220203071632574, 0.044186264220370641, 0.044153478376530872, 0.044121873079866702, 0.044091464285986863, 0.044062258048107351, 0.044034252105445829, 0.044007437355082411, 0.043981799192934212, 0.043957318716765219, 0.043933973789936583, 0.043911739969020293, 0.043890591301614795, 0.043870501002901394, 0.043851442020845892, 0.0438333875006542, 0.04381631115928894, 0.043800187580674679, 0.043784992441778803, 0.043770702679137748, 0.043757296604677885, 0.043744753978908722, 0.043733056048783824, 0.04372218555676103, 0.043712126726863428, 0.043702865232863972, 0.043694388153088341, 0.043686683915762185, 0.04367974223831423, 0.043673554063586119, 0.043668111495487189, 0.043663407736267694, 0.04365943702725307, 0.043656194594593134, 0.043653676601314147, 0.043651880106723932, 0.043650803034004683, 0.04365044414662362], [0.044810998046620226, 0.044811800382542448, 0.044814207240590515, 0.044818218191726163, 0.044823832588004306, 0.044831049663468306, 0.044839868675861844, 0.044850289089683471, 0.044862310801346533, 0.044875934407520121, 0.044891161518133937, 0.044907995116039323, 0.04492643996597364, 0.044946503076294997, 0.044968194217973066, 0.044991526506587706, 0.045016517054656716, 0.045043187703549245, 0.045071565846634014, 0.045101685358281317, 0.045133587647019052, 0.045167322855747885, 0.04520295123768283, 0.045240544743973335, 0.045280188868189832, 0.045321984804681067, 0.045366051993027533, 0.045412531140570436, 0.045461587840861205, 0.045513416940026967, 0.045568247848549071, 0.04562635105718417, 0.045688046198969129, 0.045753712113599042, 0.045823799529397795, 0.045898847201755411, 0.045979502665829619, 0.046066549222646018, 0.046160941455468431, 0.04626385258582566, 0.046376738519262876, 0.046501425822800896, 0.046640234672601394, 0.046796153985539657, 0.046973096269746939, 0.04717627751416207, 0.047412799153387732, 0.047692567954241011, 0.048029803707510074, 0.0484456174983438, 0.048972648774194223, 0.049663928887643573, 0.050611144360446593, 0.051986018435761255, 0.054146491485895322, 0.057959840327664894, 0.066065761496827399, 0.090297932978374976, 0.23707515920018332, 0.16390383463744196, 0.058244284871800785, 0.046600453404649064, 0.044087644593828648, 0.043428798392357061, 0.043299219560279663, 0.043345952723887179, 0.043452768831383333, 0.043576312065869538, 0.043699291728787081, 0.043814717714378414, 0.043919943536830174, 0.044014223925046031, 0.044097655808406203, 0.04417070359359649, 0.044233984182670438, 0.044288171224110967, 0.044333954575035472, 0.044372024646382645, 0.044403066930750398, 0.044427759618279244, 0.044446771077693056, 0.044460756021367738, 0.044470350258826091, 0.044476164488982173, 0.044478777800147792, 0.04447873156004177, 0.044476524266839249, 0.044472607756924347, 0.044467384971440815, 0.044461209304991173, 0.044454385416438806, 0.044447171282929132, 0.044439781224145693, 0.044432389608491191, 0.044425134967107406, 0.044418124275396993, 0.044411437205813128, 0.044405130202789904, 0.044399240275572155, 0.04439378844415607, 0.044388782806015215, 0.044384221216431992, 0.044380093593539845, 0.044376383871520909, 0.0443730716328865, 0.044370133454488057, 0.044367544002868457, 0.044365276913604312, 0.044363305487100345, 0.04436160323039133, 0.044360144271274611, 0.044358903667801861, 0.04435785763298275, 0.044356983691602951, 0.044356260783391957, 0.044355669324418312, 0.044355191236538742, 0.044354809952966416, 0.044354510406533008, 0.044354279005965266, 0.044354103604454839, 0.044353973463938171, 0.044353879217798035, 0.044353812834120036, 0.044353767581170357, 0.04435373799638171, 0.044353719859826266, 0.044353710172905861, 0.044353707142783132, 0.044353705940902176, 0.044353702331912402, 0.044353696305739945, 0.04435368784548379, 0.044353676927248717, 0.044353663519909242, 0.044353647584803937, 0.04435362907535749, 0.044353607936628056, 0.044353584104777431, 0.044353557506459584, 0.044353528058124259, 0.044353495665230572, 0.044353460221364681, 0.044353421607256929, 0.044353379689689741, 0.044353334320290386, 0.044353285334198585, 0.044353232548600713, 0.044353175761119197, 0.044353114748045361, 0.044353049262403806, 0.044352979031832232, 0.044352903756262087, 0.044352823105381738, 0.044352736715862755, 0.044352644188327503, 0.04435254508403403, 0.044352438921251791, 0.044352325171298508, 0.044352203254205427, 0.044352072533974912, 0.04435193231338954, 0.044351781828328607, 0.044351620241541385, 0.044351446635822626, 0.044351260006527851, 0.044351059253360109, 0.044350843171351101, 0.044350610440951593, 0.044350359617134946, 0.044350089117406767, 0.044349797208600987, 0.044349481992327973, 0.04434914138892386, 0.044348773119731719, 0.044348374687524138, 0.044347943354853085, 0.044347476120084536, 0.044346969690846123, 0.044346420454578817, 0.044345824445844041, 0.044345177309991303, 0.044344474262737431, 0.044343710045149441, 0.04434287887345055, 0.044341974382991013, 0.044340989565630595, 0.044339916699674214, 0.044338747271378022, 0.044337471886901722, 0.044336080173417357, 0.044334560667894783, 0.044332900691864137, 0.044331086210200196, 0.044329101671678896, 0.044326929828717325, 0.044324551533315028, 0.044321945505767207, 0.044319088072205783, 0.044315952866445109, 0.044312510490959182, 0.044308728131102933, 0.044304569115930011, 0.044299992418177246, 0.044294952085258771, 0.044289396592539748, 0.044283268109948301, 0.044276501673462983, 0.044269024254746256, 0.044260753726121094, 0.044251597725788933, 0.04424145244230971, 0.044230201362407351, 0.044217714069807269, 0.044203845258359201, 0.044188434253499914, 0.044171305563880339, 0.044152271385658928, 0.044131137696942116, 0.044107716879083166, 0.044081852215399266, 0.044053464222878418, 0.044022637836321619, 0.043989787971677588, 0.04395598045336746, 0.04392357382563733, 0.043897558703702752, 0.043888513278431587, 0.043919616290137332, 0.044044951199342118, 0.044403805986111135, 0.045413341041658742, 0.048660795824690989, 0.063245220906095231, 0.17358662715391859, 0.12813024403610518, 0.071361956995347364, 0.058435549762065706, 0.053597887154863882, 0.051222836175476044, 0.049858307966584366, 0.048991536483395513, 0.048401854778082107, 0.047980546938528039, 0.047668528253038252, 0.047431211309489192, 0.047247142494513637, 0.047102389196086947, 0.046987565101506264, 0.046896160785570802, 0.04682356175219466, 0.046766448170573502, 0.046722416506263957, 0.046689735641102265, 0.046667187872925897, 0.04665396587069829, 0.046649608529307593, 0.046653965870698283, 0.046667187872925897, 0.046689735641102272, 0.04672241650626395, 0.046766448170573502, 0.046823561752194542, 0.046896160785570927, 0.046987565101506312, 0.047102389196087023, 0.047247142494513977, 0.047431211309489268, 0.047668528253038335, 0.047980546938527865, 0.048401854778082051, 0.048991536483395264, 0.049858307966584435, 0.051222836175475406, 0.053597887154861884, 0.058435549762072096, 0.071361956995365836, 0.1281302440360981, 0.17358662715386067, 0.063245220906071833, 0.048660795824690177, 0.045413341041658471, 0.044403805986110878, 0.044044951199342146, 0.04391961629013736, 0.043888513278431573, 0.043897558703702814, 0.043923573825637358, 0.04395598045336746, 0.043989787971677602, 0.044022637836321682, 0.044053464222878438, 0.044081852215399224, 0.044107716879083131, 0.044131137696942144, 0.044152271385658914, 0.044171305563880367, 0.044188434253499935, 0.044203845258359166, 0.044217714069807318, 0.044230201362407358, 0.044241452442309682, 0.044251597725788912, 0.044260753726121094, 0.044269024254746256, 0.044276501673462969, 0.044283268109948308, 0.044289396592539762, 0.044294952085258736, 0.044299992418177225, 0.044304569115930004, 0.044308728131102919, 0.044312510490959148, 0.044315952866445144, 0.044319088072205776, 0.044321945505767187, 0.044324551533314993, 0.04432692982871729, 0.044329101671678896, 0.044331086210200189, 0.044332900691864172, 0.044334560667894797, 0.044336080173417364, 0.044337471886901715, 0.044338747271378022, 0.04433991669967418, 0.04434098956563063, 0.044341974382991006, 0.044342878873450522, 0.044343710045149434, 0.044344474262737466, 0.044345177309991331, 0.044345824445844048, 0.044346420454578803, 0.044346969690846123, 0.044347476120084516, 0.044347943354853085, 0.044348374687524186, 0.044348773119731712, 0.044349141388923846, 0.044349481992327966, 0.044349797208600994, 0.044350089117406774, 0.044350359617134967, 0.044350610440951573, 0.044350843171351059, 0.044351059253360109, 0.044351260006527844, 0.044351446635822626, 0.044351620241541365, 0.044351781828328607, 0.044351932313389561, 0.044352072533974926, 0.044352203254205406, 0.044352325171298487, 0.044352438921251756, 0.04435254508403403, 0.044352644188327531, 0.044352736715862776, 0.044352823105381717, 0.044352903756262073, 0.044352979031832211, 0.044353049262403785, 0.044353114748045382, 0.044353175761119162, 0.044353232548600734, 0.044353285334198619, 0.044353334320290386, 0.044353379689689748, 0.044353421607256929, 0.044353460221364709, 0.044353495665230565, 0.044353528058124286, 0.044353557506459591, 0.044353584104777417, 0.044353607936628063, 0.044353629075357469, 0.044353647584803944, 0.044353663519909242, 0.044353676927248696, 0.044353687845483804, 0.044353696305739959, 0.044353702331912437, 0.044353705940902183, 0.04435370714278309, 0.044353706542198078, 0.044353704743037119, 0.044353701753083917, 0.044353697585314905, 0.044353692257905052, 0.044353685794235743, 0.044353678222904765, 0.044353669577738626, 0.044353659897807325, 0.04435364922744061, 0.044353637616247145, 0.044353625119135147, 0.044353611796335617, 0.044353597713427041, 0.044353582941362497, 0.044353567556498406, 0.044353551640625363, 0.044353535281000403, 0.044353518570381369, 0.044353501607062251, 0.044353484494910986, 0.044353467343407664, 0.044353450267684606, 0.044353433388567391, 0.044353416832616989, 0.044353400732172608, 0.044353385225395205, 0.044353370456311755, 0.044353356574859393, 0.044353343736929868, 0.044353332104413737, 0.044353321845244091, 0.044353313133439425, 0.044353306149145517, 0.044353301078675911, 0.04435329811455032, 0.044353297455531113, 0.044353299306656699, 0.044353303879272124, 0.044353311391055597, 0.044353322066040667, 0.044353336134633728, 0.044353353833625424, 0.044353375406195876, 0.044353401101912382, 0.044353431176719228, 0.044353465892918109, 0.044353505519138345, 0.044353550330295796, 0.04435360060753897, 0.044353656638181437, 0.044353718715618433, 0.044353787139226573, 0.044353862214244699, 0.044353944251634123, 0.044354033567915924, 0.044354130484983767, 0.044354235329888685, 0.044354348434594675, 0.0443544701357012, 0.04435460077412999, 0.044354740694772909, 0.044354890246097227, 0.0443550497797046, 0.044355219649839371, 0.044355400212842122, 0.044355591826543236, 0.044355794849591734, 0.044356009640713193, 0.044356236557891504, 0.044356475957467133, 0.044356728193145414, 0.044356993614907261, 0.044357272567814285, 0.044357565390699107, 0.044357872414732359, 0.044358193961855849, 0.044358530343071086, 0.044358881856572094, 0.044359248785709987, 0.044359631396776331, 0.044360029936591293, 0.044360444629881451, 0.044360875676432189, 0.044361323247996937, 0.044361787484946312, 0.044362268492637663, 0.044362766337486106, 0.044363281042714767, 0.044363812583764359, 0.044364360883336923, 0.044364925806051822, 0.044365507152688305, 0.04436610465398886, 0.044366717963998291, 0.044367346652909673, 0.044367990199392644, 0.04436864798237445, 0.044369319272247444, 0.044370003221477029, 0.044370698854582995, 0.044371405057471128, 0.044372120566091813, 0.044372843954406709, 0.044373573621646442, 0.044374307778847738, 0.044375044434663911, 0.044375781380447531, 0.044376516174613738, 0.044377246126301145, 0.044377968278358645, 0.044378679389697563, 0.044379375917066415, 0.044380053996318489, 0.044380709423265573, 0.044381337634228454, 0.044381933686422723, 0.044382492238341925, 0.044383007530330927, 0.044383473365573411, 0.044383883091750682, 0.044384229583666356, 0.044384505227167574, 0.044384701904733315, 0.044384810983138574, 0.044384823303643454, 0.04438472917519088, 0.044384518371133178, 0.044383075655004316, 0.044380164431776108, 0.044375428233407031, 0.044368481788249314, 0.044358926183297995, 0.044346370094438897, 0.044330456105970237, 0.044310889703473459, 0.04428746712782923, 0.044260097390986651, 0.044228813810832657, 0.044193771611975831, 0.044155230276677608, 0.044113521904913626, 0.044069009206577338, 0.044022038325799914, 0.043972892131558868, 0.04392174885431193, 0.04386864930273545, 0.043813473939111058, 0.043755929536061729, 0.043695544668796833, 0.043631674603099718, 0.043563520263224922, 0.043490175227940797, 0.043410734853244155, 0.043324547231684669, 0.043231795198989335, 0.043134879934826585, 0.043041860035421341, 0.042975610355540449, 0.043000805453457233, 0.043316002858613367, 0.044645876926885333, 0.050646919984931767, 0.09771818541766554, 0.34957246426292532, 0.098206888747100124, 0.067159721299250477, 0.058263419465042703, 0.054394940738651386, 0.05232419543175712, 0.051073387703265305, 0.050257668994089406, 0.049697806944293037, 0.049299854172682969, 0.049010002015182061, 0.048795198063473058, 0.048633937869370238, 0.048511532693411401, 0.048417521899458402, 0.048344186579793891, 0.048285661747151848, 0.048237389370247789, 0.048195772750074167, 0.048157953003392553, 0.048121660702445127, 0.048085113854327073, 0.048046944095299991, 0.048006139598511632, 0.047961997491927186, 0.047914081474380713, 0.047862182292654085, 0.047806280073658232, 0.047746508356951746, 0.047683120157202094, 0.047616456594592529, 0.047546918643119676, 0.047474942432710804, 0.04740097836102266, 0.047325474071910581, 0.047248861173409137, 0.047171545419027287, 0.047093899971372713, 0.047016261307169259, 0.046938927302562966, 0.046862157049130812, 0.046786171985176754, 0.046711157975135371, 0.046637268024931108, 0.046564625377341691, 0.046493326784827656, 0.046423445805438973, 0.046355036009019739, 0.046288134015603367, 0.046222762315852178, 0.046158931845223947, 0.046096644300048013, 0.046035894195700582, 0.045976670675425747, 0.045918959083816296, 0.045862742322202991, 0.045808002004782716, 0.045754719434681727, 0.045702876418686637, 0.045652455938354486, 0.04560344269385834, 0.045555823535398041, 0.045509587795421649, 0.045464727533346919, 0.045421237703001105, 0.04537911625164559, 0.045338364158243626, 0.045298985417573198, 0.045260986975892918, 0.045224378623121501, 0.045189172845903694, 0.045155384645481154, 0.045123031323966278, 0.045092132242413041, 0.045062708553983477, 0.045034782915495244, 0.045008379180704806, 0.044983522078802449, 0.044960236881758577, 0.044938549064345253, 0.044918483960847827, 0.0449000664226522, 0.044883320481044445, 0.044868269019646315, 0.044854933460950888, 0.044843333471378366, 0.044833486689147509, 0.044825408479047153, 0.044819111717879584, 0.044814606613957766, 0.044811900563551631, 0.044810998046620226, 0.044811599736224103, 0.044813403943338243, 0.044816408087786495, 0.044820607885581155, 0.04482599737311168, 0.044832568940467658, 0.044840313373364166, 0.04484921990298972, 0.04485927626296126, 0.04487046875243892, 0.044882782304327531, 0.044896200557377072, 0.044910705930885531, 0.04492627970060515, 0.044942902074362259, 0.044960552265808404, 0.044979208564645719, 0.044998848401584558, 0.045019448406222948, 0.045040984455963003, 0.045063431714008215, 0.045086764654416939, 0.045110957072112524, 0.045135982075683381, 0.045161812060731513, 0.045188418661458653, 0.045215772678115024, 0.045243843977878305, 0.045272601366686489, 0.045302012429530879, 0.045332043336725816, 0.045362658613734619, 0.045393820872255838, 0.045425490500481676, 0.045457625310767302, 0.045490180143412981, 0.045523106425904812, 0.045556351687826555, 0.045589859032784445, 0.04562356657013459, 0.045657406811116782, 0.045691306036231991, 0.045725183643397414, 0.04575895148960827, 0.045792513242545872, 0.045825763762782197, 0.045858588541889379, 0.045890863226759546, 0.045922453265596477, 0.045953213716089396, 0.045982989260859621, 0.046011614478904964, 0.046038914423879342, 0.04606470555995331, 0.046088797102965359, 0.046110992807839431, 0.04613109323211749, 0.046148898489422309, 0.046164211485497708, 0.046176841603381126, 0.046186608774014745, 0.046193347835627264, 0.046196913051641794, 0.046197182625455364, 0.046194063024426149, 0.046187492908217345, 0.046177446451473522, 0.0461639358601404, 0.046147012905912152, 0.046126769344066038, 0.046103336134317031, 0.046076881448539359, 0.046047607518082664, 0.046015746440901492, 0.045981555128653769, 0.045945309620831501, 0.04590729902279516, 0.045867819335152556, 0.045827167433237219, 0.045785635429514401, 0.045743505612190163, 0.045701046104777446, 0.045658507338868608, 0.045616119380603663, 0.045574090104237984, 0.04553260416666479, 0.04549182270638949, 0.045451883669811427, 0.045412902656314452, 0.045374974170490821, 0.045338173173285423, 0.045302556832247556, 0.045268166382749345, 0.045235029025480142, 0.045203159799516432, 0.045172563383856022, 0.045143235792831346, 0.045115165941868533, 0.045088337069448009, 0.045062728008802816, 0.045038314308944054, 0.045015069209182496, 0.04499296447460293, 0.044971971102160446, 0.044952059908395313, 0.044933202010403753, 0.044915369211813702, 0.044898534305243668, 0.044882671302185484, 0.044867755600541626, 0.044853764099239017, 0.044840675268489533, 0.044828469183411705, 0.044817127527900354, 0.044806633574845579, 0.044796972148073717, 0.044788129570714812, 0.044780093604096863, 0.044772853380722476, 0.044766399334398618, 0.044760723130156381, 0.044755817596215018, 0.044751676659899819, 0.044748295289121574, 0.044745669440749508, 0.044743796016962253, 0.044742672830439048, 0.044742298579040829], [0.046040831878587853, 0.046041670497603472, 0.046044186219842791, 0.046048378662248361, 0.046054247257676692, 0.046061791362076172, 0.046071010405061993, 0.04608190408448623, 0.046094472605866493, 0.046108716967885287, 0.046124639295620426, 0.046142243223730763, 0.046161534332540888, 0.046182520640869765, 0.046205213160567908, 0.046229626519118223, 0.046255779658380895, 0.046283696619691436, 0.046313407428155665, 0.046344949092259766, 0.046378366738978098, 0.046413714909654187, 0.046451059048314494, 0.046490477222159772, 0.046532062124252038, 0.046575923421583412, 0.046622190528715725, 0.046671015909295309, 0.046722579036776825, 0.046777091184114536, 0.046834801263517141, 0.04689600300664503, 0.046961043870070419, 0.047030336181025749, 0.047104371220068331, 0.047183737193815599, 0.047269142418190774, 0.047361445566256641, 0.047461695622424603, 0.047571185367791702, 0.047691524031715123, 0.047824737573041794, 0.047973409574870375, 0.048140883146422939, 0.048331556717615541, 0.048551328347100187, 0.048808282353999338, 0.049113785670588175, 0.049484306091618323, 0.049944565328422653, 0.050533305726067741, 0.051314541662711655, 0.052401347021828595, 0.054011574457432279, 0.056617358853837174, 0.061429973868070711, 0.072491848010326335, 0.11127705685562764, 0.36789982260691345, 0.10363218872884601, 0.053796109240123263, 0.046625369676531157, 0.044930319258347826, 0.044500029566580043, 0.04445208102325713, 0.044533272092819723, 0.044656676591691417, 0.044789179733358102, 0.044917534446259545, 0.045036496057991059, 0.045144223301928472, 0.045240361588655957, 0.045325205162589435, 0.045399321930473101, 0.045463385849175225, 0.045518104757801832, 0.045564191975952115, 0.04560235699231522, 0.045633303255275641, 0.045657727334871952, 0.045676316957758034, 0.045689747145918155, 0.045698674616585881, 0.045703731060591613, 0.045705516082913754, 0.045704590566214925, 0.045701471078789538, 0.045696625750031694, 0.045690471824550445, 0.045683374913442112, 0.045675649808445587, 0.045667562620599053, 0.045659333949083329, 0.045651142771349448, 0.045643130762271847, 0.045635406787121205, 0.045628051360817677, 0.045621120916416021, 0.04561465177360742, 0.045608663739864802, 0.045603163311140643, 0.045598146465463105, 0.045593601061909864, 0.045589508870271286, 0.045585847264426445, 0.045582590616213996, 0.045579711427458307, 0.045577181236690377, 0.045574971334713658, 0.045573053320044514, 0.045571399521813417, 0.045569983314220422, 0.045568779343282732, 0.045567763683504521, 0.045566913939295711, 0.045566209303492609, 0.045565630583186564, 0.04556516020122444, 0.04556478218018957, 0.045564482114365049, 0.045564247134096576, 0.045564065866076732, 0.045563928392340913, 0.045563826210166164, 0.04556375219458153, 0.045563700564806853, 0.045563666855620182, 0.045563647894398429, 0.045563641784364367, 0.045563641026838471, 0.045563638751419805, 0.045563634949552533, 0.045563629606867107, 0.045563622703015103, 0.045563614211436003, 0.045563604099055063, 0.045563592325909771, 0.045563578844702433, 0.045563563600276163, 0.045563546529010422, 0.045563527558131964, 0.045563506604936951, 0.045563483575917677, 0.045563458365789691, 0.045563430856410542, 0.045563400915583807, 0.045563368395739254, 0.045563333132479955, 0.045563294942985617, 0.045563253624259968, 0.045563208951210445, 0.045563160674544169, 0.045563108518465345, 0.045563052178155913, 0.045562991317020018, 0.045562925563670434, 0.045562854508632782, 0.045562777700741609, 0.045562694643197545, 0.045562604789253953, 0.045562507537495994, 0.0455624022266721, 0.045562288130032713, 0.045562164449126683, 0.045562030306999811, 0.045561884740733707, 0.04556172669325631, 0.045561555004346804, 0.045561368400750167, 0.04556116548530488, 0.04556094472497671, 0.045560704437679359, 0.045560442777747012, 0.045560157719908199, 0.045559847041592175, 0.04555950830337667, 0.045559138827363788, 0.045558735673241584, 0.045558295611759773, 0.045557815095311399, 0.045557290225272253, 0.045556716715704042, 0.045556089852973422, 0.045555404450779997, 0.045554654800014575, 0.045553834612790965, 0.045552936959900356, 0.045551954200832412, 0.045550877905383258, 0.045549698765729271, 0.045548406497680778, 0.045546989729639213, 0.045545435877561949, 0.045543731003982457, 0.045541859658837447, 0.045539804699511625, 0.045537547087111573, 0.045535065655526438, 0.045532336849305355, 0.045529334425783503, 0.04552602911620808, 0.045522388239854793, 0.045518375264292664, 0.045513949304062808, 0.045509064549138369, 0.045503669613698554, 0.045497706795132202, 0.045491111233036494, 0.045483809958725092, 0.045475720828137528, 0.045466751336279587, 0.045456797321493839, 0.045445741586477351, 0.045433452496033755, 0.045419782669427755, 0.045404567986010724, 0.045387627298650694, 0.045368763558520576, 0.045347767604145814, 0.045324426859730378, 0.045298543015437773, 0.045269966211213028, 0.045238659943180312, 0.045204824364785012, 0.045169133776089505, 0.045133205707376951, 0.045100561755047425, 0.04507869403262979, 0.045083802157835154, 0.045152596271688439, 0.04537515056571257, 0.046001337815026917, 0.047869908508152731, 0.054836043772888594, 0.097233438133536645, 0.20949722858966544, 0.089263707958152472, 0.064618555330493793, 0.057039385242858044, 0.053691790373706652, 0.051886687912086567, 0.050786736529504335, 0.050059799932564805, 0.049551291828332122, 0.049180642708268586, 0.048902175701264844, 0.048688265180864547, 0.048521331330427603, 0.048389726018008915, 0.048285481417566611, 0.048203013180240305, 0.048138341488381975, 0.048088607250498135, 0.048051764089717869, 0.048026379566150239, 0.048011507396272093, 0.048006608395367217, 0.048011507396272066, 0.048026379566150211, 0.048051764089717883, 0.048088607250498135, 0.048138341488381996, 0.048203013180240173, 0.048285481417566743, 0.048389726018008984, 0.048521331330427686, 0.048688265180864936, 0.048902175701264934, 0.049180642708268676, 0.049551291828331887, 0.050059799932564764, 0.050786736529504016, 0.051886687912086747, 0.053691790373705854, 0.057039385242854942, 0.064618555330503993, 0.08926370795819201, 0.20949722858966222, 0.097233438133511541, 0.054836043772878852, 0.047869908508152363, 0.046001337815026778, 0.04537515056571239, 0.045152596271688467, 0.045083802157835161, 0.045078694032629783, 0.045100561755047473, 0.045133205707376979, 0.045169133776089505, 0.045204824364785033, 0.045238659943180368, 0.045269966211213042, 0.045298543015437717, 0.04532442685973035, 0.045347767604145835, 0.04536876355852059, 0.045387627298650701, 0.045404567986010731, 0.045419782669427727, 0.04543345249603379, 0.045445741586477371, 0.045456797321493811, 0.045466751336279573, 0.045475720828137542, 0.045483809958725113, 0.045491111233036473, 0.045497706795132202, 0.045503669613698568, 0.045509064549138334, 0.045513949304062773, 0.045518375264292671, 0.045522388239854793, 0.045526029116208074, 0.045529334425783524, 0.045532336849305355, 0.045535065655526404, 0.045537547087111538, 0.045539804699511591, 0.045541859658837447, 0.045543731003982443, 0.045545435877561997, 0.045546989729639227, 0.045548406497680778, 0.045549698765729264, 0.045550877905383244, 0.045551954200832384, 0.045552936959900377, 0.045553834612790958, 0.045554654800014562, 0.045555404450779984, 0.045556089852973457, 0.045556716715704083, 0.045557290225272259, 0.045557815095311385, 0.045558295611759773, 0.045558735673241556, 0.045559138827363801, 0.045559508303376718, 0.045559847041592175, 0.045560157719908206, 0.045560442777746998, 0.045560704437679365, 0.045560944724976717, 0.045561165485304887, 0.045561368400750174, 0.04556155500434677, 0.045561726693256317, 0.045561884740733714, 0.045562030306999818, 0.045562164449126662, 0.04556228813003272, 0.045562402226672113, 0.045562507537496001, 0.045562604789253919, 0.045562694643197524, 0.045562777700741575, 0.045562854508632775, 0.045562925563670448, 0.045562991317020039, 0.045563052178155899, 0.045563108518465324, 0.045563160674544148, 0.045563208951210424, 0.045563253624259982, 0.045563294942985597, 0.045563333132479983, 0.045563368395739282, 0.045563400915583814, 0.045563430856410542, 0.045563458365789705, 0.045563483575917704, 0.045563506604936937, 0.045563527558131998, 0.045563546529010408, 0.045563563600276163, 0.045563578844702433, 0.045563592325909764, 0.045563604099055056, 0.04556361421143601, 0.045563622703015096, 0.04556362960686712, 0.045563634949552546, 0.045563638751419819, 0.045563641026838485, 0.045563641784364332, 0.045563641405948631, 0.045563640273450202, 0.04556363839511629, 0.045563635784696195, 0.045563632461447075, 0.045563628450142418, 0.045563623781082203, 0.045563618490105914, 0.045563612618607696, 0.045563606213553494, 0.045563599327500856, 0.045563592018620439, 0.045563584350720172, 0.045563576393270903, 0.045563568221434626, 0.045563559916094273, 0.045563551563885862, 0.045563543257231769, 0.045563535094376634, 0.045563527179423816, 0.045563519622374704, 0.045563512539168127, 0.04556350605172204, 0.045563500287975713, 0.045563495381933473, 0.045563491473708799, 0.045563488709569208, 0.045563487241981879, 0.045563487229658986, 0.045563488837603361, 0.045563492237153759, 0.045563497606029603, 0.045563505128374683, 0.045563514994799707, 0.045563527402423351, 0.045563542554910991, 0.045563560662511299, 0.045563581942089454, 0.045563606617157276, 0.045563634917899075, 0.045563667081192638, 0.045563703350625283, 0.045563743976503188, 0.045563789215854376, 0.045563839332423264, 0.04556389459665694, 0.045563955285681468, 0.045564021683267134, 0.045564094079781667, 0.045564172772129756, 0.045564258063678198, 0.045564350264163875, 0.045564449689584056, 0.045564556662066505, 0.045564671509717693, 0.045564794566446763, 0.045564926171763588, 0.045565066670546883, 0.045565216412781724, 0.04556537575326184, 0.045565545051254368, 0.045565724670123299, 0.045565914976908088, 0.045566116341853403, 0.045566329137885463, 0.045566553740030803, 0.045566790524771666, 0.04556703986933365, 0.045567302150898541, 0.045567577745737282, 0.045567867028255403, 0.045568170369943845, 0.045568488138227857, 0.045568820695204945, 0.045569168396263064, 0.045569531588569558, 0.045569910609420457, 0.045570305784438721, 0.045570717425610037, 0.045571145829143227, 0.045571591273142038, 0.045572054015073735, 0.045572534289019001, 0.045573032302687735, 0.045573548234182484, 0.045574082228492255, 0.045574634393696779, 0.045575204796861647, 0.045575793459602339, 0.045576400353295923, 0.045577025393915969, 0.045577668436467655, 0.045578329268997624, 0.045579007606152529, 0.045579703082260878, 0.045580415243909725, 0.04558114354199138, 0.045581887323190975, 0.045582645820888792, 0.045583418145452088, 0.045584203273889623, 0.045585000038847252, 0.045585807116921652, 0.045586623016275446, 0.04558744606353763, 0.045588274389980032, 0.04558910591696589, 0.04558993834067207, 0.045590769116096226, 0.045591595440369406, 0.045592414235406255, 0.045593222129936398, 0.045594015440979047, 0.045594790154836251, 0.045595541907703437, 0.045596265966014009, 0.045596957206663027, 0.045597610097278307, 0.045598218676738939, 0.045598776536172315, 0.045599276800693637, 0.045599712112190105, 0.045600074613486627, 0.045600355934271017, 0.045600547179192624, 0.045600638918589356, 0.045600621182330901, 0.045600483457301867, 0.045599237142725971, 0.045596481684554428, 0.045591852321457925, 0.045584955705546368, 0.045575385480237221, 0.045562743956937594, 0.045546668889789053, 0.045526862911830987, 0.04550312179334403, 0.045475356776150083, 0.045443606268865941, 0.045408033370873312, 0.045368907867557304, 0.04532657399322064, 0.04528140770128522, 0.045233768783046066, 0.045183953558617145, 0.045132153009623109, 0.045078419480347916, 0.045022643048523915, 0.044964537042768121, 0.044903631576020106, 0.044839274940837927, 0.044770646100195752, 0.044696789156112256, 0.044616697181336033, 0.044529509737300708, 0.044434975914090985, 0.044334555945665544, 0.044234137732676898, 0.044151151257424019, 0.044134964572697548, 0.044333616384700882, 0.045259737105817224, 0.049242833729296678, 0.074580989382322507, 0.39884918252768331, 0.1239768293635683, 0.073684859134407116, 0.061641790037482602, 0.056805533235855965, 0.054326430837523462, 0.052868611275967932, 0.051934995594014335, 0.051302582717617812, 0.050857576661192685, 0.050536106365053193, 0.050299554953982424, 0.050123114421981779, 0.049990012950073714, 0.049888405788886696, 0.049809611459893523, 0.049747069277120991, 0.049695702939016158, 0.049651521673668167, 0.049611364242077932, 0.049572730194155819, 0.049533664512603097, 0.04949267448986059, 0.04944866550311737, 0.049400887400438298, 0.049348886591470353, 0.049292461234426668, 0.049231618449369963, 0.049166533459740827, 0.049097511104130818, 0.049024950377349052, 0.048949312649663006, 0.048871094060485953, 0.048790802359204286, 0.04870893822686638, 0.048625980896651155, 0.048542377720915277, 0.048458537217237793, 0.048374825064314064, 0.048291562503533947, 0.048209026623164696, 0.048127452048103661, 0.048047033618901717, 0.047967929710718837, 0.04789026590970015, 0.047814138826625892, 0.047739619883022666, 0.047666758952038507, 0.047595587775078621, 0.047526123105938504, 0.047458369557783722, 0.047392322145847918, 0.047327968531185309, 0.047265290979236076, 0.047204268052229041, 0.047144876057319311, 0.047087090273488133, 0.047030885980112042, 0.046976239309157133, 0.046923127941470487, 0.046871531665857315, 0.046821432817723024, 0.046772816612137183, 0.046725671384326838, 0.046679988748887041, 0.046635763687431789, 0.046592994573026535, 0.046551683138541446, 0.046511834395054248, 0.046473456505589844, 0.046436560618824493, 0.046401160666871312, 0.046367273130904156, 0.046334916778144337, 0.046304112373622835, 0.0462748823701086, 0.046247250579661628, 0.046221241830395353, 0.046196881612204761, 0.04617419571541162, 0.046153209866482234, 0.046133949365156184, 0.046116438727487524, 0.046100701339396429, 0.04608675912537686, 0.046074632236964924, 0.046064338765446466, 0.046055894483066177, 0.046049312616676455, 0.046044603657359337, 0.046041775209047536, 0.046040831878587853, 0.046041460777244074, 0.046043346583396587, 0.046046486632773491, 0.046050876502091123, 0.046056510034524538, 0.046063379374798041, 0.046071475013336881, 0.046080785838766472, 0.046091299197902134, 0.046103000962234388, 0.046115875599782141, 0.046129906251065091, 0.046145074807832011, 0.04616136199307324, 0.046178747440748534, 0.046197209773564334, 0.046216726677052233, 0.046237274968111162, 0.046258830656099148, 0.046281368994480439, 0.046304864520954156, 0.046329291083913565, 0.046354621853001196, 0.046380829311446846, 0.046407885227789741, 0.046435760604502961, 0.046464425600961076, 0.046493849428119148, 0.046524000212211286, 0.046554844824744375, 0.046586348676056377, 0.046618475469757566, 0.046651186915486045, 0.046684442397608328, 0.046718198597821808, 0.046752409070086716, 0.046787023766978568, 0.046821988517456253, 0.046857244457227026, 0.046892727414422936, 0.046928367255235338, 0.046964087196545927, 0.046999803095494737, 0.047035422729382444, 0.047070845083334131, 0.047105959667749768, 0.047140645892675311, 0.0471747725317401, 0.047208197314026333, 0.047240766687881179, 0.047272315805858542, 0.047302668784160756, 0.047331639292509629, 0.047359031530549635, 0.047384641643850395, 0.047408259625479829, 0.047429671737175952, 0.04744866346675871, 0.047465023015311539, 0.047478545279032836, 0.04748903625733205, 0.047496317782300727, 0.047500232427474864, 0.047500648418903064, 0.047497464342568775, 0.047490613423006957, 0.04748006714209755, 0.047465837977299863, 0.047447981066504753, 0.047426594651941628, 0.047401819215916616, 0.047373835292329296, 0.047342860014100603, 0.0473091425310464, 0.047272958498471032, 0.047234603887766853, 0.047194388402136647, 0.047152628790946699, 0.04710964234530457, 0.047065740827619919, 0.047021225043310889, 0.046976380208707473, 0.04693147221115819, 0.046886744800573345, 0.046842417700427082, 0.046798685583642197, 0.04675571782650207, 0.04671365893222186, 0.046672629504482255, 0.046632727648765381, 0.046594030683984974, 0.046556597056760761, 0.046520468363920334, 0.046485671403786399, 0.046452220192200432, 0.046420117894039728, 0.046389358634524806, 0.046359929166465585, 0.046331810379589722, 0.046304978646205724, 0.046279407003790719, 0.046255066179834332, 0.046231925467632141, 0.046209953463935055, 0.046189118680646291, 0.046169390043320616, 0.046150737289238519, 0.046133131277452374, 0.046116544222560119, 0.046100949863148853, 0.046086323574947081, 0.046072642437783841, 0.046059885264519963, 0.046048032599218816, 0.046037066690977888, 0.046026971449062898, 0.046017732384272259, 0.046009336540818409, 0.046001772422436332, 0.045995029915917432, 0.045989100214811063, 0.045983975745634967, 0.045979650098575152, 0.045976117964340875, 0.045973375078553272, 0.045971418174789898, 0.045970244947175651, 0.045969854023191786], [0.047186004150357341, 0.047186878068506917, 0.047189499704813828, 0.047193868727480298, 0.047199984659014919, 0.047207846989774246, 0.047217455337518172, 0.047228809653655314, 0.047241910477149013, 0.04725675923744066, 0.047273358608240598, 0.047291712914656885, 0.047311828596920416, 0.04733371473495282, 0.04735738363924958, 0.047382851515073682, 0.047410139208845938, 0.047439273047952278, 0.047470285788081351, 0.047503217685804768, 0.04753811771858777, 0.04757504498003351, 0.047614070285217115, 0.047655278029914337, 0.047698768358922602, 0.047744659713307505, 0.047793091845345484, 0.047844229414624496, 0.047898266311254531, 0.047955430895255315, 0.048015992398954356, 0.048080268817410989, 0.048148636718789724, 0.048221543554484256, 0.048299523255783836, 0.048383216197382117, 0.048473395030006354, 0.048570998500301034, 0.048677176289617395, 0.0487933492825878, 0.048921291799433504, 0.049063245664214508, 0.049222081354865617, 0.049401530359106008, 0.049606527961509592, 0.04984373222608645, 0.050122333336592335, 0.050455359526352828, 0.050861869726057149, 0.05137081187056608, 0.052028205150471699, 0.052911461302140937, 0.054160505604665191, 0.056053335392470441, 0.059218924456017515, 0.065378656386990419, 0.080931761547443193, 0.14750026908820288, 0.35592663429445132, 0.077611653611120324, 0.051542501283276969, 0.046937733273094084, 0.045790534323186305, 0.045526106853051557, 0.045540114740595133, 0.045648118181758714, 0.045784585041989373, 0.045924165911181244, 0.046056756855574824, 0.046178490140071478, 0.046288163429400543, 0.046385731101304006, 0.046471641342324607, 0.046546540837363273, 0.04661114554493978, 0.046666187758457933, 0.046712397614000485, 0.046750498923802147, 0.046781209552059388, 0.046805241721029081, 0.04682330035002788, 0.046836079005548037, 0.046844253838369862, 0.046848476272603093, 0.046849365334117606, 0.046847500450920725, 0.04684341539283586, 0.046837593797843691, 0.04683046650281069, 0.046822410690359473, 0.046813750701882866, 0.046804760257696115, 0.046795665767882889, 0.046786650403825958, 0.046777858619705952, 0.046769400853782554, 0.046761358190620418, 0.04675378681937073, 0.046746722174032293, 0.046740182685856793, 0.046734173114152809, 0.046728687449452119, 0.046723711402960638, 0.046719224509518077, 0.046715201879209509, 0.046711615636554016, 0.046708436086974392, 0.04670563264896159, 0.046703174587751049, 0.046701031582990209, 0.046699174159219543, 0.046697574004298525, 0.046696204197374871, 0.046695039364729761, 0.046694055778896376, 0.046693231413860142, 0.046692545966908722, 0.046691980855780094, 0.046691519198137861, 0.046691145779045894, 0.046690847010988593, 0.046690610890056099, 0.046690426951156487, 0.04669028622449875, 0.046690181195093279, 0.046690105766612852, 0.046690055230633229, 0.046690026242009436, 0.046690016800929705, 0.046690016530294219, 0.046690015716104288, 0.046690014351477356, 0.046690012424834414, 0.046690009919737922, 0.046690006814662531, 0.046690003082698148, 0.046689998691182788, 0.046689993601262685, 0.046689987767377067, 0.046689981136663623, 0.046689973648280619, 0.046689965232641482, 0.04668995581055517, 0.046689945292268407, 0.0466899335764005, 0.046689920548765217, 0.046689906081069869, 0.046689890029482851, 0.046689872233058892, 0.046689852512009675, 0.046689830665808479, 0.046689806471112552, 0.046689779679488626, 0.046689750014923107, 0.046689717171098252, 0.046689680808411668, 0.046689640550715734, 0.046689595981750619, 0.046689546641240733, 0.046689492020622447, 0.04668943155836669, 0.046689364634856158, 0.046689290566772505, 0.046689208600943506, 0.046689117907595522, 0.046689017572949146, 0.046688906591089673, 0.046688783855035658, 0.046688648146920829, 0.046688498127193313, 0.046688332322725762, 0.04668814911371702, 0.046687946719251645, 0.046687723181367109, 0.046687476347460358, 0.046687203850843989, 0.046686903089239666, 0.046686571200967725, 0.046686205038562592, 0.046685801139508334, 0.046685355693747627, 0.046684864507573059, 0.046684322963455691, 0.046683725975307636, 0.046683067938604182, 0.046682342674713453, 0.046681543368688683, 0.046680662499673946, 0.046679691762951288, 0.04667862198251755, 0.046677443012915654, 0.046676143628855749, 0.046674711400944181, 0.046673132555583315, 0.046671391816810154, 0.046669472227501577, 0.046667354946974673, 0.04666501902155526, 0.046662441124154054, 0.046659595258283983, 0.046656452421252645, 0.046652980220476863, 0.046649142435984003, 0.046644898521198519, 0.046640203033091771, 0.046635004981748031, 0.046629247088480139, 0.046622864941001867, 0.046615786034159473, 0.046607928685904167, 0.046599200821511297, 0.046589498626132798, 0.046578705079364444, 0.046566688410305999, 0.046553300555676476, 0.046538375780986227, 0.046521729760411197, 0.0465031596494518, 0.046482446107275685, 0.046459358985415859, 0.04643366978880225, 0.046405176611320285, 0.046373752228234727, 0.046339435882491814, 0.046302609531202986, 0.046264342683276762, 0.046227087817855068, 0.046196143188716086, 0.046182906714930791, 0.046212663315058029, 0.046345108259034068, 0.046735948288660033, 0.047858835721928235, 0.05155552844901428, 0.06873900617849979, 0.19512307328952586, 0.12749363880174069, 0.074138570777420684, 0.061371934125473329, 0.056464789852021018, 0.054020338168173698, 0.05260350138408551, 0.05169843998341099, 0.051080540499311891, 0.050638216173831879, 0.050310448117187156, 0.050061353572594974, 0.049868603685577377, 0.049717669971929425, 0.049598761406100547, 0.049505099808725091, 0.049431903412251461, 0.049375765501624612, 0.049334264041454204, 0.04930571248084413, 0.04928900095260888, 0.049283498666323283, 0.049289000952608845, 0.04930571248084413, 0.049334264041454211, 0.049375765501624619, 0.049431903412251468, 0.049505099808724938, 0.049598761406100679, 0.049717669971929494, 0.049868603685577467, 0.050061353572595391, 0.050310448117187268, 0.050638216173832004, 0.051080540499311627, 0.051698439983410935, 0.052603501384085108, 0.054020338168173851, 0.056464789852019942, 0.061371934125469041, 0.074138570777439405, 0.12749363880183426, 0.19512307328953657, 0.068739006178489409, 0.051555528449009499, 0.047858835721927985, 0.046735948288659956, 0.04634510825903395, 0.046212663315058071, 0.046182906714930805, 0.046196143188716066, 0.046227087817855131, 0.046264342683276796, 0.046302609531202993, 0.046339435882491835, 0.046373752228234789, 0.046405176611320292, 0.046433669788802187, 0.046459358985415825, 0.046482446107275713, 0.046503159649451793, 0.046521729760411232, 0.046538375780986255, 0.046553300555676434, 0.046566688410306048, 0.046578705079364451, 0.046589498626132764, 0.046599200821511283, 0.046607928685904181, 0.046615786034159487, 0.04662286494100186, 0.046629247088480132, 0.046635004981748045, 0.046640203033091722, 0.046644898521198484, 0.046649142435984003, 0.046652980220476856, 0.046656452421252624, 0.046659595258284003, 0.046662441124154061, 0.046665019021555218, 0.046667354946974639, 0.046669472227501528, 0.046671391816810161, 0.046673132555583301, 0.046674711400944216, 0.046676143628855755, 0.046677443012915681, 0.046678621982517543, 0.046679691762951267, 0.046680662499673918, 0.04668154336868871, 0.046682342674713447, 0.046683067938604168, 0.046683725975307636, 0.046684322963455718, 0.046684864507573108, 0.04668535569374764, 0.046685801139508334, 0.046686205038562592, 0.046686571200967704, 0.046686903089239687, 0.046687203850844017, 0.046687476347460337, 0.046687723181367095, 0.046687946719251638, 0.046688149113717013, 0.046688332322725762, 0.04668849812719332, 0.046688648146920801, 0.046688783855035623, 0.046688906591089673, 0.04668901757294916, 0.046689117907595536, 0.046689208600943485, 0.046689290566772505, 0.046689364634856186, 0.04668943155836671, 0.04668949202062242, 0.046689546641240712, 0.046689595981750584, 0.046689640550715721, 0.046689680808411682, 0.046689717171098273, 0.046689750014923086, 0.046689779679488591, 0.046689806471112524, 0.046689830665808459, 0.046689852512009689, 0.046689872233058878, 0.046689890029482879, 0.04668990608106989, 0.046689920548765217, 0.046689933576400479, 0.046689945292268421, 0.046689955810555211, 0.046689965232641469, 0.046689973648280647, 0.046689981136663616, 0.046689987767377067, 0.046689993601262685, 0.046689998691182774, 0.046690003082698127, 0.046690006814662524, 0.046690009919737901, 0.046690012424834421, 0.046690014351477377, 0.046690015716104316, 0.046690016530294219, 0.046690016800929657, 0.046690016665948644, 0.046690016263906522, 0.046690015603507586, 0.046690014699262906, 0.046690013571496485, 0.046690012246353926, 0.04669001075581302, 0.046690009137697233, 0.046690007435691259, 0.046690005699359036, 0.046690003984163918, 0.046690002351491164, 0.046690000868672824, 0.046689999609014272, 0.046689998651823432, 0.046689998082441488, 0.046689997992276099, 0.046689998478835815, 0.046689999645767005, 0.046690001602891627, 0.046690004466247471, 0.046690008358129045, 0.046690013407130117, 0.046690019748187477, 0.046690027522625507, 0.046690036878201592, 0.046690047969152056, 0.046690060956238844, 0.046690076006795846, 0.046690093294775359, 0.046690113000794217, 0.046690135312179151, 0.046690160423011051, 0.046690188534167808, 0.046690219853365536, 0.046690254595197267, 0.04669029298116923, 0.04669033523973351, 0.046690381606317277, 0.04669043232334745, 0.046690487640270097, 0.046690547813564423, 0.046690613106749712, 0.046690683790385323, 0.046690760142061659, 0.046690842446382413, 0.046690930994936014, 0.046691026086255381, 0.046691128025764778, 0.046691237125712347, 0.046691353705086903, 0.046691478089517034, 0.04669161061115102, 0.04669175160851561, 0.046691901426351601, 0.046692060415423613, 0.046692228932302612, 0.046692407339116795, 0.046692596003270172, 0.046692795297123973, 0.046693005597638511, 0.046693227285971708, 0.046693460747030104, 0.046693706368968836, 0.046693964542635358, 0.046694235660952592, 0.046694520118235917, 0.046694818309438786, 0.046695130629320195, 0.046695457471528451, 0.046695799227593322, 0.046696156285819516, 0.046696529030073312, 0.046696917838453825, 0.046697323081838972, 0.046697745122297039, 0.046698184311352628, 0.046698640988095577, 0.046699115477120891, 0.046699608086286523, 0.046700119104275475, 0.04670064879794697, 0.046701197409461256, 0.046701765153162073, 0.046702352212197998, 0.046702958734865359, 0.046703584830652317, 0.046704230565964212, 0.046704895959507844, 0.046705580977313317, 0.04670628552736885, 0.046707009453844935, 0.046707752530882857, 0.04670851445592103, 0.046709294842534006, 0.04671009321275571, 0.046710908988862501, 0.04671174148458701, 0.046712589895737532, 0.046713453290197882, 0.046714330597282416, 0.046715220596425064, 0.046716121905181422, 0.046717032966527738, 0.04671795203544396, 0.046718877164772257, 0.04671980619035071, 0.046720736715425877, 0.046721666094359134, 0.046722591415650515, 0.046723509484316611, 0.046724416803670177, 0.046725309556568388, 0.046726183586210432, 0.046727034376588671, 0.046727857032715904, 0.046728646260779931, 0.046729396348400613, 0.046730101145195498, 0.046730754043891896, 0.04673134796225642, 0.046731875326149745, 0.046732328054050316, 0.046732697543429701, 0.046732974659399094, 0.046733149726084867, 0.046733212521224664, 0.046733152274508388, 0.046732117449417687, 0.046729536479947133, 0.046725037519788057, 0.046718220561630927, 0.046708673400023007, 0.046695993689539354, 0.046679816069002768, 0.046659841894882217, 0.046635867731184798, 0.046607807834081132, 0.046575705890715087, 0.046539732449874409, 0.046500166674522884, 0.046457363740573215, 0.046411711689170063, 0.046363583147781877, 0.046313287678874049, 0.046261029596439747, 0.046206874289289844, 0.046150724023132361, 0.046092302520391829, 0.046031146894209778, 0.045966606214099405, 0.045897848760173526, 0.045823886352834575, 0.045743637704779946, 0.045656082770368103, 0.045560630327550936, 0.045457995962024877, 0.045352355582484322, 0.04525690631941591, 0.045209430752054303, 0.045321358703472543, 0.045962222768372821, 0.048673098802504616, 0.063505131109162449, 0.25309897719330443, 0.1695517262416848, 0.082175947080369086, 0.065426874936431456, 0.059311016699326917, 0.05632733351670146, 0.054624368265189731, 0.053555147534178824, 0.052841049784728165, 0.052343939443535853, 0.051987935429928904, 0.051727919570920405, 0.05153529031710443, 0.05139091757455052, 0.051281407811980408, 0.051197012609990211, 0.051130405959982396, 0.051075944868130781, 0.051029209874019335, 0.050986712442111261, 0.050945703463375472, 0.050904043132046863, 0.050860107548542581, 0.050812716617646261, 0.050761073730563197, 0.050704711666086005, 0.05064344181625887, 0.05057730561602531, 0.050506528162578314, 0.050431474608271812, 0.05035261013156897, 0.05027046424905017, 0.050185600029926121, 0.050098588497978699, 0.05000998821958557, 0.049920329824578856, 0.049830105013687169, 0.049739759480699669, 0.049649689116183691, 0.049560238852450117, 0.049471703543150593, 0.049384330331745135, 0.049298322038897023, 0.049213841179851857, 0.049131014301912281, 0.049049936404571358, 0.048970675268118623, 0.048893275569572306, 0.048817762707687354, 0.048744146292323272, 0.048672423278762263, 0.04860258074595785, 0.048534598330437238, 0.048468450335877253, 0.048404107543260404, 0.048341538748862121, 0.048280712057855196, 0.048221595960587366, 0.048164160217045643, 0.048108376572990788, 0.04805421932896612, 0.048001665781038483, 0.047950696549827497, 0.047901295812205008, 0.047853451448052226, 0.047807155112669773, 0.047762402243863612, 0.047719192011375568, 0.047677527215192424, 0.04763741413832881, 0.047598862358944422, 0.047561884526088505, 0.047526496102963778, 0.047492715081342209, 0.047460561670637044, 0.04743005796510559, 0.047401227592725477, 0.047374095349419158, 0.047348686822481861, 0.047325028007276941, 0.047303144921479551, 0.04728306322134742, 0.047264807824672996, 0.047248402545179549, 0.047233869743178801, 0.047221229997271658, 0.047210501801747282, 0.047201701294114412, 0.047194842016865676, 0.04718993471715513, 0.047186987187543342, 0.047186004150357341, 0.047186659520147084, 0.047188624713504754, 0.047191896987834624, 0.047196471790184158, 0.047202342784007471, 0.047209501886038931, 0.047217939312692074, 0.047227643635235864, 0.047238601842851037, 0.047250799412523664, 0.047264220384594539, 0.047278847442655522, 0.047294661996362911, 0.047311644265624508, 0.047329773364513238, 0.047349027383157653, 0.047369383465771561, 0.04739081788288893, 0.047413306095787568, 0.047436822810997245, 0.047461342022700359, 0.0474868370407475, 0.047513280501915951, 0.047540644361950032, 0.047568899865823744, 0.047598017493568769, 0.047627966878919209, 0.047658716697933513, 0.047690234524678382, 0.047722486651006882, 0.047755437867439438, 0.047789051202188119, 0.04782328761546159, 0.047858105646377408, 0.047893461010128098, 0.047929306143522338, 0.04796558969770208, 0.048002255977772371, 0.048039244330322577, 0.048076488481431714, 0.048113915829801235, 0.048151446702208993, 0.04818899358159074, 0.048226460321780497, 0.048263741367305005, 0.048300721001631193, 0.048337272652851634, 0.048373258291853537, 0.048408527964344701, 0.048442919504402132, 0.048476258483040609, 0.048508358450096538, 0.048539021530793286, 0.04856803943885489, 0.048595194965050263, 0.048620263992619497, 0.048643018078271809, 0.048663227618655644, 0.048680665597048041, 0.048695111873681481, 0.048706357946507572, 0.048714212069009444, 0.048718504570516095, 0.048719093185766463, 0.048715868168258632, 0.048708756940477702, 0.048697728027444501, 0.048682794031294323, 0.048664013435445644, 0.048641491077022453, 0.048615377192986725, 0.048585865024138732, 0.048553187045217779, 0.048517609971177607, 0.048479428761659685, 0.04843895990103271, 0.048396534265254532, 0.0483524898968666, 0.04830716499596785, 0.048260891400846891, 0.048213988781832536, 0.048166759711764283, 0.04811948571249465, 0.048072424314746863, 0.048025807113118893, 0.047979838752293516, 0.047934696746322822, 0.047890532010558387, 0.047847469974625544, 0.047805612143249257, 0.047765037977739323, 0.047725806982410947, 0.047687960895137521, 0.047651525897836312, 0.047616514779557716, 0.047582929000924756, 0.047550760623250581, 0.047519994078326799, 0.047490607765474764, 0.047462575470980359, 0.047435867611638635, 0.0474104523090218, 0.047386296304497984, 0.047363365727227498, 0.047341626728585336, 0.047321045996931925, 0.047301591166563323, 0.047283231134183014, 0.047265936295481092, 0.047249678713485364, 0.047234432229343377, 0.047220172525162953, 0.04720687714752371, 0.047194525499303919, 0.047183098806558278, 0.04717258006635057, 0.04716295398068622, 0.047154206881010984, 0.047146326647134154, 0.047139302623896429, 0.047133125538424414, 0.047127787420395563, 0.047123281527360034, 0.047119602276840034, 0.047116745186628575, 0.047114706824444172, 0.047113484767859246, 0.047113077575193563], [0.048102595299939543, 0.048103501056092283, 0.048106218225543666, 0.048110746535121297, 0.048117085609120494, 0.048125235088999276, 0.04813519480162385, 0.048146964976822276, 0.048160546515329819, 0.048175941308633549, 0.048193152612765119, 0.048212185478767711, 0.048233047243423345, 0.048255748084904078, 0.048280301649346116, 0.048306725756006794, 0.048335043190725506, 0.048365282599958911, 0.048397479500821461, 0.048431677426500799, 0.048467929231323301, 0.048506298585907999, 0.048546861700606, 0.048589709325280998, 0.04863494908606765, 0.048682708235938461, 0.048733136916912542, 0.048786412059189245, 0.04884274207869857, 0.048902372582740161, 0.048965593358114234, 0.049032747004018766, 0.049104239692527481, 0.049180554706763177, 0.049262269641915067, 0.049350078488831974, 0.049444820303003366, 0.049547516870025295, 0.049659422834548432, 0.049782093362664981, 0.049917476890040224, 0.050068044437253066, 0.050236973345286325, 0.050428413897563806, 0.050647885514229024, 0.050902881557247981, 0.051203821486599244, 0.051565604234801207, 0.05201025027814779, 0.05257162307921482, 0.053304384221574137, 0.054302269253199552, 0.055738994401562582, 0.05797152905248161, 0.061847286922222612, 0.069863830093846876, 0.092579336297844317, 0.21569082286511726, 0.21062675219618593, 0.065178107827893045, 0.050322314233892766, 0.047280772929136961, 0.046509236108469541, 0.046364981230208741, 0.046424701183856235, 0.046552271770203123, 0.046697912203744328, 0.046842152442579693, 0.04697730105991367, 0.047100547684780211, 0.047211173701068934, 0.047309359720968065, 0.04739565993154319, 0.047470769853227783, 0.047535427455039379, 0.047590375327493634, 0.04763634986515769, 0.047674080966618487, 0.047704294230374256, 0.047727711930070513, 0.047745051354703659, 0.047757020374043155, 0.047764310785435832, 0.047767590331180103, 0.047767494362402893, 0.047764618043404837, 0.047759509802438378, 0.047752666495293035, 0.047744530502310645, 0.047735488761332663, 0.047725873569323139, 0.047715964872254622, 0.047705993704463857, 0.047696146426530556, 0.047686569432908443, 0.04767737404465705, 0.047668641357668878, 0.047660426874144006, 0.047652764798773131, 0.047645671927630223, 0.047639151095571076, 0.047633194176828104, 0.047627784654196814, 0.047622899785923468, 0.047618512407488003, 0.047614592409250631, 0.047611107931597438, 0.047608026317750442, 0.04760531486160665, 0.047602941384418514, 0.047600874670267405, 0.047599084786401583, 0.047597543310810148, 0.047596223485992961, 0.047595100314826826, 0.04759415061173642, 0.047593353020051347, 0.047592688004441545, 0.047592137825647161, 0.047591686503317264, 0.047591319771609436, 0.047591025031248325, 0.047590791300961319, 0.047590609170576101, 0.047590470757553759, 0.047590369668320136, 0.047590300965425519, 0.047590261141297836, 0.047590248099134404, 0.04759024836586357, 0.047590249164394444, 0.047590250489725532, 0.047590252333416051, 0.047590254683428014, 0.047590257523903237, 0.047590260834874318, 0.047590264591907266, 0.047590268765673259, 0.047590273321446906, 0.047590278218527148, 0.047590283409576821, 0.047590288839876739, 0.047590294446487449, 0.047590300157315357, 0.047590305890073396, 0.047590311551131276, 0.047590317034245232, 0.047590322219158862, 0.047590326970064302, 0.047590331133911597, 0.047590334538554928, 0.047590336990719809, 0.047590338273776463, 0.047590338145301739, 0.047590336334410177, 0.047590332538832665, 0.047590326421719072, 0.047590317608139053, 0.047590305681250597, 0.047590290178105656, 0.047590270585055661, 0.04759024633271771, 0.047590216790457301, 0.047590181260337927, 0.047590138970483503, 0.047590089067792336, 0.04759003060993508, 0.047589962556560395, 0.047589883759625265, 0.047589792952754291, 0.04758968873952342, 0.047589569580550002, 0.047589433779256923, 0.047589279466162787, 0.047589104581532114, 0.047588906856197884, 0.047588683790347211, 0.04758843263003254, 0.047588150341141347, 0.047587833580523695, 0.047587478663935458, 0.047587081530412585, 0.047586637702638088, 0.047586142242806398, 0.047585589703420444, 0.047584974072380062, 0.047584288711629882, 0.04758352628853231, 0.047582678699011408, 0.047581736981376008, 0.047580691219570953, 0.047579530434419662, 0.047578242461208224, 0.047576813811711652, 0.0475752295184734, 0.047573472958815755, 0.047571525655665824, 0.047569367051833587, 0.047566974253851257, 0.047564321740882064, 0.047561381033509625, 0.047558120316427109, 0.047554504008150068, 0.047550492269878619, 0.0475460404445541, 0.047541098416022998, 0.047535609877118024, 0.047529511494531745, 0.047522731957845524, 0.047515190900420064, 0.047506797681808245, 0.047497450026181019, 0.047487032521136431, 0.047475414999879624, 0.047462450863468404, 0.047447975459622871, 0.047431804739835583, 0.047413734601664592, 0.047393541650699894, 0.047370986702637563, 0.047345823409867663, 0.047317816366914178, 0.047286776784257821, 0.047252631107444439, 0.047215552665225452, 0.047176217320975079, 0.047136312127269119, 0.047099584466202112, 0.047074114263644183, 0.047077561770652747, 0.047150354458037738, 0.047392767152984211, 0.048086620905159742, 0.050194781407253898, 0.058263662260465345, 0.10918119859070116, 0.20660735742239408, 0.090902743737072106, 0.067160095198875044, 0.059587287309431705, 0.056179316517065717, 0.054321729038640298, 0.053182216503938229, 0.05242599876154503, 0.051895758323653167, 0.051508932918432067, 0.051218477702974205, 0.05099583688040215, 0.050822798407227976, 0.050687287519293404, 0.050581056399612002, 0.0504983503350847, 0.050435106232493795, 0.050388456244551454, 0.050356414618137876, 0.050337680003148789, 0.050331514798566228, 0.050337680003148762, 0.050356414618137876, 0.050388456244551454, 0.050435106232493809, 0.050498350335084721, 0.05058105639961185, 0.050687287519293578, 0.050822798407228066, 0.050995836880402233, 0.051218477702974691, 0.051508932918432185, 0.051895758323653327, 0.052425998761544731, 0.053182216503938153, 0.05432172903863975, 0.056179316517066008, 0.05958728730943013, 0.067160095198867592, 0.090902743737111422, 0.20660735742255198, 0.10918119859070149, 0.058263662260461022, 0.05019478140725131, 0.048086620905159624, 0.047392767152984148, 0.047150354458037634, 0.047077561770652775, 0.04707411426364419, 0.047099584466202105, 0.047136312127269174, 0.047176217320975128, 0.047215552665225466, 0.047252631107444473, 0.047286776784257897, 0.047317816366914171, 0.047345823409867628, 0.047370986702637521, 0.047393541650699908, 0.047413734601664592, 0.047431804739835617, 0.047447975459622892, 0.047462450863468369, 0.047475414999879666, 0.047487032521136452, 0.047497450026180991, 0.047506797681808231, 0.047515190900420071, 0.047522731957845531, 0.047529511494531745, 0.047535609877118024, 0.047541098416023012, 0.047546040444554051, 0.047550492269878591, 0.047554504008150068, 0.047558120316427088, 0.047561381033509605, 0.047564321740882078, 0.047566974253851257, 0.047569367051833546, 0.047571525655665803, 0.047573472958815713, 0.047575229518473407, 0.047576813811711631, 0.047578242461208266, 0.047579530434419669, 0.04758069121957096, 0.047581736981376001, 0.047582678699011387, 0.047583526288532289, 0.047584288711629917, 0.047584974072380069, 0.047585589703420424, 0.047586142242806391, 0.047586637702638108, 0.047587081530412634, 0.047587478663935465, 0.047587833580523674, 0.04758815034114134, 0.047588432630032498, 0.047588683790347218, 0.047588906856197905, 0.047589104581532107, 0.04758927946616278, 0.047589433779256902, 0.047589569580550023, 0.047589688739523441, 0.047589792952754305, 0.047589883759625244, 0.047589962556560367, 0.047590030609935087, 0.04759008906779235, 0.047590138970483503, 0.047590181260337906, 0.047590216790457301, 0.047590246332717738, 0.047590270585055661, 0.047590290178105628, 0.047590305681250583, 0.047590317608139004, 0.047590326421719086, 0.047590332538832679, 0.047590336334410191, 0.047590338145301711, 0.047590338273776442, 0.047590336990719781, 0.047590334538554907, 0.047590331133911604, 0.047590326970064288, 0.047590322219158876, 0.047590317034245246, 0.047590311551131276, 0.047590305890073389, 0.047590300157315357, 0.047590294446487498, 0.047590288839876711, 0.047590283409576856, 0.047590278218527141, 0.047590273321446899, 0.047590268765673266, 0.047590264591907259, 0.047590260834874332, 0.047590257523903251, 0.047590254683428007, 0.047590252333416058, 0.047590250489725545, 0.047590249164394458, 0.047590248365863598, 0.047590248099134348, 0.047590248232821458, 0.047590248636926499, 0.047590249320582145, 0.047590250299013537, 0.047590251593544644, 0.047590253231607212, 0.047590255246751471, 0.047590257678660229, 0.047590260573164775, 0.047590263982263223, 0.047590267964141619, 0.04759027258319664, 0.047590277910061408, 0.047590284021632623, 0.047590291001100578, 0.047590298937980668, 0.047590307928147418, 0.047590318073869757, 0.047590329483848837, 0.04759034227325671, 0.047590356563777414, 0.047590372483648807, 0.047590390167706012, 0.047590409757425976, 0.047590431400972952, 0.04759045525324463, 0.047590481475918878, 0.047590510237501063, 0.047590541713370953, 0.047590576085829582, 0.047590613544146003, 0.047590654284602581, 0.047590698510539493, 0.047590746432397434, 0.047590798267758583, 0.047590854241384734, 0.047590914585252768, 0.047590979538586313, 0.047591049347883614, 0.047591124266940558, 0.047591204556867717, 0.047591290486102208, 0.047591382330411457, 0.047591480372889697, 0.047591584903945217, 0.047591696221277603, 0.047591814629844284, 0.047591940441814085, 0.047592073976507568, 0.047592215560321803, 0.047592365526638841, 0.047592524215715276, 0.047592691974551724, 0.047592869156739902, 0.047593056122285413, 0.047593253237403182, 0.047593460874284454, 0.047593679410830467, 0.047593909230352151, 0.047594150721230959, 0.047594404276538257, 0.047594670293609177, 0.047594949173566943, 0.04759524132079377, 0.047595547142342889, 0.047595867047287549, 0.047596201446000706, 0.047596550749360644, 0.047596915367874859, 0.047597295710717073, 0.047597692184668854, 0.047598105192958588, 0.047598535133989671, 0.047598982399948815, 0.047599447375284668, 0.047599930435046747, 0.047600431943074117, 0.047600952250021325, 0.047601491691209863, 0.047602050584291317, 0.047602629226708944, 0.047603227892941566, 0.047603846831514446, 0.047604486261761003, 0.047605146370315786, 0.047605827307321991, 0.047606529182332089, 0.047607252059882241, 0.047607995954717298, 0.047608760826645648, 0.047609546574998544, 0.047610353032671054, 0.047611179959719044, 0.0476120270364861, 0.047612893856235905, 0.047613779917261137, 0.047614684614445721, 0.047615607230251711, 0.047616546925106362, 0.047617502727165438, 0.047618473521428235, 0.047619458038185077, 0.047620454840777517, 0.047621462312657153, 0.047622478643732064, 0.047623501815995339, 0.047624529588437353, 0.047625559481249143, 0.047626588759334773, 0.047627614415160696, 0.047628633150981974, 0.047629641360498236, 0.047630635110010443, 0.047631610119164579, 0.047632561741391466, 0.047633484944171189, 0.047634374289278476, 0.047635223913190104, 0.047636027507866538, 0.047636778302150094, 0.047637469044057044, 0.047638091984275148, 0.04763863886121477, 0.047639100887999705, 0.047639468741818632, 0.047639732556096673, 0.047639881915977303, 0.047639905857637006, 0.047639107413286454, 0.047636734618476048, 0.047632410952070908, 0.047625732463315182, 0.047616284035590886, 0.047603661685551274, 0.047587499837334138, 0.047567501105166644, 0.047543464747242498, 0.047515309063042736, 0.047483083031213617, 0.047446963654815627, 0.047407237662371614, 0.047364268901421286, 0.047318455238100555, 0.047270180368089561, 0.04721976625998011, 0.047167431006405816, 0.047113255043368808, 0.047057156627889583, 0.046998875770336228, 0.046937965009257121, 0.046873785893043515, 0.046805512314984254, 0.046732147110046432, 0.046652569519707733, 0.046565655666624836, 0.046470570888227883, 0.046367471917855771, 0.0462592223512652, 0.046155767308631739, 0.046086114428197801, 0.046134852608093344, 0.046572538986600978, 0.048449244924623186, 0.05766898992042159, 0.14751102489802498, 0.25547859502710213, 0.093736799356855957, 0.069629066886721477, 0.061790433254663178, 0.058179711535126882, 0.056186921487125049, 0.054962782479840315, 0.054157701228094976, 0.053603702887264106, 0.053210622960650517, 0.052925795443114529, 0.052716300565717321, 0.052560367407240759, 0.052442891530859799, 0.052352958966799312, 0.052282415139021481, 0.052225007973313538, 0.052175860098749076, 0.052131135470511188, 0.052087822818799492, 0.052043589419996261, 0.051996676549009413, 0.051945818810725894, 0.051890176472479017, 0.051829274515725741, 0.051762945219223755, 0.051691273125478797, 0.051614542495440369, 0.051533188012891591, 0.051447749716281743, 0.051358833051039943, 0.051267074672166298, 0.051173114286433279, 0.051077572482036371, 0.050981034201064812, 0.050884037292997585, 0.050787065452775025, 0.050690544788747315, 0.050594843270150285, 0.050500272353816711, 0.050407090168972671, 0.050315505732805771, 0.050225683766821592, 0.050137749776945531, 0.050051795143957939, 0.049967882042656835, 0.049886048067394037, 0.049806310488771564, 0.049728670102496104, 0.049653114658176095, 0.049579621874847851, 0.049508162062769132, 0.049438700378933984, 0.049371198748034757, 0.049305617482211586, 0.049241916632695788, 0.049180057104970087, 0.049120001566822905, 0.049061715176002933, 0.049005166151335822, 0.048950326208327455, 0.048897170877555858, 0.048845679721625124, 0.048795836464165673, 0.048747629042328461, 0.048701049592450425, 0.048656094377054808, 0.048612763660087571, 0.048571061536254401, 0.048530995719510896, 0.048492577295136716, 0.04845582043938236, 0.048420742110392337, 0.048387361713964877, 0.048355700747672849, 0.048325782426939849, 0.048297631296804228, 0.048271272833295603, 0.048246733038570272, 0.048224038034184416, 0.048203213657096525, 0.048184285063180718, 0.048167276343153036, 0.048152210155877131, 0.048139107383985788, 0.04812798681662997, 0.048118864863942713, 0.048111755307464164, 0.048106669090341399, 0.048103614150572759, 0.048102595299939543, 0.048103274545251068, 0.048105311343669868, 0.048108702888337587, 0.048113444520026555, 0.048119529755134983, 0.048126950324259891, 0.048135696220738454, 0.048145755758378511, 0.048157115637443092, 0.048169761017801856, 0.048183675598017908, 0.048198841699005165, 0.048215240350764729, 0.048232851380589331, 0.04825165350101638, 0.048271624395701214, 0.048292740801288876, 0.048314978583259942, 0.048338312803637075, 0.048362717778343486, 0.048388167121909062, 0.048414633777124308, 0.048442090027138146, 0.048470507487394364, 0.0484998570746892, 0.048530108950521178, 0.048561232435794625, 0.048593195893830689, 0.04862596657854272, 0.048659510444560891, 0.048693791916046156, 0.048728773610943403, 0.048764416017503295, 0.04880067712007384, 0.048837511971473596, 0.04887487220972949, 0.048912705517652297, 0.048950955024683801, 0.048989558651739123, 0.049028448401456516, 0.049067549598428781, 0.049106780086693454, 0.049146049395079522, 0.049185257884999334, 0.049224295899976775, 0.049263042941618998, 0.049301366902819263, 0.049339123395610036, 0.049376155218053927, 0.049412292011543832, 0.049447350166421558, 0.049481133039301406, 0.049513431549134464, 0.049544025219950986, 0.049572683735348122, 0.049599169062082171, 0.049623238186572084, 0.049644646487928122, 0.04966315174387529, 0.049678518731812567, 0.04969052434717975, 0.049698963117163403, 0.049703652942422127, 0.049704440856737274, 0.04970120855878634, 0.049693877446363374, 0.049682412875817351, 0.049666827381745618, 0.049647182625918176, 0.049623589899641961, 0.049596209077417727, 0.049565246006432667, 0.049530948408861089, 0.049493600463627344, 0.049453516312723621, 0.049411032796974105, 0.049366501762025054, 0.049320282284840547, 0.049272733154628573, 0.049224205903211006, 0.049175038623785174, 0.049125550750440908, 0.049076038900566873, 0.049026773814690158, 0.048977998368363168, 0.048929926581875387, 0.048882743517570999, 0.048836605931630243, 0.048791643536342265, 0.048747960728364403, 0.048705638645983276, 0.048664737431613009, 0.048625298592482984, 0.048587347370776496, 0.048550895052867957, 0.048515941164671179, 0.048482475515726424, 0.048450480068114227, 0.04841993061745721, 0.048390798282186918, 0.048363050804090549, 0.048336653668151666, 0.048311571053135341, 0.048287766626524571, 0.048265204198553797, 0.048243848250447335, 0.048223664351758976, 0.048204619481092947, 0.048186682263610212, 0.048169823137685627, 0.048154014461973947, 0.048139230573016008, 0.04812544780242043, 0.048112644461616262, 0.0481008008012032, 0.048089898951042327, 0.04807992284642934, 0.048070858144976192, 0.048062692138190699, 0.048055413661180719, 0.048049013003411085, 0.048043481823006731, 0.048038813066705571, 0.048035000897226246, 0.048032040629509561, 0.048029928677018004, 0.048028662509033572, 0.048028240619660829], [0.048806103251746127, 0.048807037726518614, 0.048809841073483747, 0.04881451308561767, 0.048821053501423919, 0.048829462130607987, 0.048839739030774362, 0.048851884735988865, 0.048865900538409196, 0.048881788824649691, 0.048899553469137318, 0.048919200287452218, 0.048940737553582518, 0.0489641765861909, 0.048989532410442016, 0.049016824503743152, 0.049046077635990212, 0.049077322817683906, 0.049110598372722969, 0.049145951156975766, 0.049183437949089817, 0.049223127046740485, 0.04926510011002485, 0.049309454304532957, 0.049356304810474282, 0.049405787782097844, 0.04945806386486231, 0.049513322408231371, 0.049571786552198342, 0.049633719419318233, 0.049699431716346443, 0.049769291148056546, 0.049843734181335843, 0.049923280886413533, 0.05000855384824858, 0.050100302521548193, 0.050199434954588451, 0.050307059619745749, 0.050424541306544342, 0.050553576892389734, 0.050696299703518952, 0.050855425796311096, 0.051034463034168025, 0.051238016510782053, 0.051472245838493115, 0.051745569253525345, 0.052069783159678924, 0.052461909828603361, 0.052947383257905482, 0.053565836212093168, 0.054382297627595236, 0.055510620791483042, 0.057167628656143971, 0.059815786500090153, 0.064614034724157748, 0.07528477339856382, 0.11020579093987454, 0.33637152229229567, 0.12690328704397963, 0.058648600000941353, 0.049635489299833697, 0.047589761972650309, 0.04708069562827745, 0.047023813944102377, 0.047116900421098236, 0.047258317346103064, 0.04740998180038996, 0.047556889988139089, 0.047693198809290786, 0.047816903136677052, 0.047927643786223655, 0.048025760696656511, 0.04811187503829395, 0.048186706700828107, 0.048250999284620823, 0.048305494052752376, 0.048350924970689699, 0.048388021229836528, 0.048417510638074021, 0.048440120875208978, 0.048456577586006126, 0.048467599399862074, 0.048473890582592473, 0.048476132314779125, 0.048474973648744896, 0.048471023091063846, 0.048464841549115602, 0.048456937122640674, 0.048447761960608036, 0.048437711174421243, 0.048427123621535409, 0.048416284256911808, 0.048405427690926497, 0.048394742581967354, 0.048384376517246308, 0.04837444108317579, 0.048365016885430843, 0.048356158339550454, 0.048347898109466492, 0.048340251120096413, 0.048333218109549006, 0.048326788716482522, 0.048320944119537711, 0.048315659259836795, 0.048310904685745629, 0.048306648062837895, 0.048302855392533192, 0.048299491981227433, 0.048296523198723088, 0.048293915061005964, 0.048291634668355156, 0.048289650525712297, 0.048287932768377555, 0.048286453312551991, 0.048285185947070521, 0.048284106379883354, 0.048283192250437347, 0.048282423117057008, 0.048281780426697882, 0.048281247473003087, 0.048280809347400644, 0.04828045288700044, 0.04828016662225202, 0.048279940726676483, 0.048279766970465335, 0.048279638679320003, 0.048279550699569448, 0.048279499370333483, 0.048279482503278771, 0.048279483350461283, 0.048279485891038754, 0.048279490122070612, 0.048279496038554685, 0.048279503633274976, 0.048279512896586732, 0.048279523816137732, 0.048279536376523637, 0.048279550558874819, 0.048279566340372365, 0.048279583693689045, 0.04827960258635168, 0.048279622980020684, 0.048279644829680231, 0.048279668082735469, 0.048279692678007594, 0.048279718544621514, 0.048279745600776289, 0.048279773752390558, 0.048279802891611392, 0.048279832895175782, 0.048279863622613044, 0.048279894914272169, 0.048279926589160631, 0.048279958442576223, 0.048279990243513718, 0.048280021731824559, 0.048280052615106893, 0.048280082565300114, 0.048280111214954492, 0.048280138153145309, 0.048280162920995393, 0.04828018500676716, 0.048280203840481026, 0.048280218788011399, 0.048280229144607043, 0.048280234127775767, 0.048280232869466928, 0.048280224407477236, 0.048280207675997652, 0.0482801814952084, 0.048280144559818654, 0.048280095426435507, 0.048280032499632565, 0.048279954016572764, 0.048279858030022757, 0.048279742389575261, 0.048279604720874163, 0.048279442402609556, 0.048279252541022229, 0.048279031941622384, 0.048278777077788826, 0.048278484055872393, 0.048278148576375295, 0.048277765890723238, 0.048277330753078551, 0.048276837366569549, 0.048276279323222135, 0.048275649536781214, 0.048274940167492328, 0.048274142537781985, 0.048273247037618899, 0.048272243018160563, 0.048271118672081482, 0.048269860898739178, 0.048268455152052893, 0.048266885268647676, 0.048265133273435283, 0.048263179159369229, 0.048261000637598354, 0.048258572853659622, 0.048255868064668528, 0.048252855271690001, 0.048249499800587847, 0.048245762823654816, 0.048241600813231734, 0.048236964917348281, 0.048231800246222124, 0.048226045057340565, 0.048219629826015777, 0.048212476188091435, 0.048204495742481882, 0.048195588704448518, 0.048185642407687135, 0.048174529667345901, 0.048162107042042775, 0.048148213079486073, 0.048132666712592365, 0.048115266117900561, 0.048095788603950806, 0.048073992552846022, 0.048049623259808542, 0.048022426023187098, 0.047992172664383839, 0.047958713098856666, 0.047922074385862316, 0.047882651951870123, 0.047841585611792296, 0.047801521662935102, 0.047768224380685023, 0.04775418159182214, 0.047787292279172625, 0.047933952382743693, 0.048369086198586098, 0.049632139533356968, 0.053864554385921595, 0.074177609665845037, 0.2159035638686016, 0.12609697911886092, 0.075985359787198031, 0.063441189903567632, 0.058501476416362531, 0.056008324838795247, 0.05455195859969688, 0.053617211403871053, 0.052977309538084855, 0.052518728876378158, 0.052179047787810087, 0.0519214150328378, 0.051722842829692382, 0.051568361021745696, 0.051447892880145431, 0.051354491540619156, 0.051283299939936598, 0.051230916607277591, 0.051195000619275399, 0.051174024730125618, 0.051167125851477542, 0.051174024730125584, 0.051195000619275413, 0.05123091660727757, 0.051283299939936598, 0.051354491540619177, 0.051447892880145243, 0.051568361021745897, 0.051722842829692472, 0.051921415032837898, 0.052179047787810656, 0.05251872887637829, 0.052977309538085056, 0.05361721140387074, 0.054551958599696825, 0.056008324838794504, 0.058501476416362864, 0.063441189903565315, 0.075985359787185305, 0.12609697911894951, 0.21590356386844234, 0.074177609665844718, 0.053864554385919715, 0.049632139533355421, 0.048369086198586042, 0.047933952382743665, 0.047787292279172576, 0.047754181591822181, 0.047768224380685037, 0.047801521662935074, 0.047841585611792359, 0.047882651951870164, 0.047922074385862323, 0.047958713098856701, 0.047992172664383895, 0.048022426023187084, 0.048049623259808494, 0.048073992552845987, 0.048095788603950841, 0.048115266117900547, 0.048132666712592385, 0.04814821307948608, 0.048162107042042726, 0.048174529667345922, 0.048185642407687156, 0.04819558870444849, 0.048204495742481875, 0.048212476188091435, 0.04821962982601577, 0.048226045057340544, 0.048231800246222131, 0.048236964917348295, 0.048241600813231686, 0.048245762823654788, 0.04824949980058784, 0.04825285527168998, 0.048255868064668521, 0.048258572853659656, 0.048261000637598354, 0.04826317915936916, 0.048265133273435248, 0.048266885268647614, 0.0482684551520529, 0.048269860898739164, 0.048271118672081531, 0.048272243018160577, 0.048273247037618906, 0.048274142537781964, 0.048274940167492328, 0.048275649536781172, 0.048276279323222183, 0.048276837366569542, 0.048277330753078523, 0.048277765890723211, 0.048278148576375336, 0.048278484055872435, 0.048278777077788847, 0.04827903194162237, 0.048279252541022236, 0.048279442402609521, 0.04827960472087417, 0.048279742389575303, 0.04827985803002275, 0.048279954016572757, 0.048280032499632565, 0.048280095426435521, 0.048280144559818654, 0.048280181495208414, 0.048280207675997645, 0.048280224407477201, 0.048280232869466942, 0.048280234127775774, 0.048280229144607036, 0.048280218788011364, 0.048280203840481026, 0.04828018500676718, 0.04828016292099542, 0.048280138153145274, 0.048280111214954471, 0.048280082565300045, 0.048280052615106886, 0.048280021731824559, 0.048279990243513711, 0.04827995844257621, 0.048279926589160617, 0.048279894914272134, 0.04827986362261303, 0.048279832895175817, 0.048279802891611344, 0.048279773752390585, 0.048279745600776337, 0.048279718544621507, 0.048279692678007587, 0.048279668082735476, 0.048279644829680279, 0.04827962298002067, 0.048279602586351722, 0.048279583693689058, 0.048279566340372365, 0.048279550558874833, 0.048279536376523616, 0.048279523816137732, 0.048279512896586732, 0.048279503633274955, 0.048279496038554699, 0.048279490122070619, 0.048279485891038774, 0.04827948335046129, 0.048279482503278716, 0.048279482927175071, 0.048279484202042068, 0.048279486337415037, 0.048279489349190255, 0.048279493259631559, 0.048279498097379352, 0.048279503897461704, 0.048279510701308571, 0.048279518556768306, 0.048279527518126183, 0.048279537646125997, 0.048279549007993361, 0.048279561677461925, 0.048279575734801176, 0.048279591266846965, 0.048279608367033697, 0.048279627135428993, 0.048279647678769619, 0.048279670110500016, 0.048279694550811519, 0.048279721126684293, 0.048279749971929686, 0.048279781227234406, 0.048279815040205544, 0.048279851565416754, 0.048279890964454827, 0.048279933405966792, 0.048279979065707759, 0.048280028126587875, 0.04828008077871964, 0.048280137219464267, 0.048280197653477262, 0.048280262292752417, 0.048280331356664118, 0.048280405072007579, 0.048280483673036168, 0.048280567401495708, 0.04828065650665464, 0.04828075124533017, 0.048280851881909177, 0.048280958688362914, 0.048281071944255807, 0.048281191936746008, 0.048281318960578037, 0.048281453318065541, 0.048281595319063932, 0.048281745280930877, 0.048281903528474029, 0.048282070393884061, 0.048282246216651697, 0.048282431343467554, 0.048282626128101983, 0.048282830931263981, 0.04828304612043649, 0.048283272069686252, 0.04828350915944514, 0.048283757776261503, 0.048284018312517003, 0.048284291166107635, 0.048284576740084441, 0.04828487544225081, 0.04828518768471244, 0.048285513883375798, 0.04828585445739067, 0.048286209828531976, 0.048286580420515708, 0.0482869666582431, 0.048287368966967857, 0.048287787771378841, 0.048288223494592546, 0.048288676557047064, 0.048289147375289665, 0.04828963636065009, 0.048290143917789935, 0.048290670443118307, 0.048291216323063484, 0.04829178193218972, 0.048292367631146631, 0.048292973764439168, 0.048293600658004199, 0.048294248616579986, 0.048294917920852665, 0.048295608824364004, 0.048296321550163807, 0.048297056287188153, 0.048297813186345351, 0.048298592356289513, 0.048299393858861055, 0.048300217704171935, 0.04830106384531431, 0.04830193217266758, 0.048302822507781257, 0.048303734596807923, 0.048304668103461144, 0.0483056226014736, 0.048306597566527623, 0.048307592367635425, 0.048308606257941158, 0.048309638364921414, 0.048310687679961321, 0.048311753047283225, 0.04831283315221023, 0.048313926508746566, 0.048315031446463048, 0.048316146096678593, 0.04831726837793527, 0.048318395980771013, 0.048319526351801041, 0.048320656677129009, 0.048321783865119629, 0.048322904528577126, 0.048324014966386414, 0.048325111144692581, 0.048326188677710075, 0.048327242808275085, 0.048328268388275274, 0.048329259859117631, 0.048330211232421275, 0.048331116071150849, 0.04833196747143878, 0.04833275804537604, 0.048333479905087184, 0.048334124648439648, 0.048334683346774071, 0.0483351465350772, 0.0483355042050546, 0.048335745801589676, 0.048335860223106139, 0.048335321361308123, 0.048333187861550178, 0.04832908058842126, 0.048322593942060059, 0.048313312346423942, 0.04830083266931505, 0.048284791483032968, 0.048264894699356291, 0.048240945781106596, 0.048212867874458762, 0.048180715243666322, 0.048144670546897354, 0.048105026641431951, 0.048062154254606929, 0.048016459294635633, 0.047968335134870269, 0.047918115501076226, 0.047866032645342525, 0.047812183694906203, 0.047756506019185824, 0.04769876076660063, 0.047638522852716518, 0.047575175976070055, 0.047507913114193792, 0.047435747348100618, 0.047357547162739641, 0.047272130529463829, 0.04717849809951756, 0.047076397157552685, 0.046967695263823175, 0.046859843881227742, 0.046775177391740301, 0.046778401939891023, 0.047070293612790512, 0.048383974823884124, 0.05437131847610302, 0.09972685682477081, 0.38843917817818963, 0.11091529538753163, 0.074564642127697672, 0.064330723279523286, 0.059924486900777618, 0.057583672012158783, 0.056180241408531353, 0.055272644825844916, 0.054655868513819372, 0.05422257727072171, 0.05391125666399503, 0.0536840267070436, 0.053516133600323895, 0.053390567028525189, 0.053295129220327322, 0.053220761146961337, 0.053160550612433001, 0.053109126933960332, 0.053062281864001706, 0.053016725281886709, 0.052969921294112349, 0.052919971510648277, 0.052865524994772588, 0.052805702473608794, 0.052740027743466956, 0.052668362784878811, 0.052590845442291576, 0.052507829937900458, 0.052419831202979141, 0.052327474211357292, 0.052231449356322075, 0.052132474571428875, 0.05203126447788315, 0.051928506435059141, 0.051824843032729204, 0.051720860321210961, 0.051617080933853053, 0.051513961204848843, 0.051411891405800304, 0.051311198295537076, 0.051212149279322487, 0.051114957588901104, 0.051019788011147767, 0.05092676280176682, 0.050835967516488945, 0.050747456573226421, 0.050661258424367285, 0.050577380269755785, 0.050495812279605826, 0.050416531324576748, 0.050339504229532629, 0.050264690579941429, 0.050192045117101479, 0.050121519761768589, 0.050053065306407782, 0.049986632815096584, 0.049922174767711783, 0.049859645981953721, 0.049799004343353589, 0.049740211369921968, 0.049683232634711118, 0.049628038066378756, 0.049574602144927482, 0.049522904007187674, 0.049472927474317939, 0.049424661011618992, 0.049378097629277182, 0.049333234731263546, 0.049290073918476132, 0.049248620751327243, 0.049208884476300008, 0.049170877720518799, 0.049134616158068758, 0.049100118151642676, 0.049067404373054568, 0.049036497406230846, 0.049007421336437693, 0.048980201329707464, 0.048954863206663826, 0.048931433015193759, 0.048909936606644222, 0.048890399220426844, 0.048872845082047464, 0.048857297019653849, 0.048843776104170664, 0.048832301317971012, 0.048822889256806931, 0.048815553869375035, 0.048810306238450514, 0.048807154406963399, 0.048806103251746127, 0.048806804033247567, 0.048808905423091756, 0.048812404563225803, 0.048817296709889726, 0.048823575262787598, 0.04883123180528412, 0.048840256154993787, 0.048850636423954867, 0.048862359087417304, 0.04887540906011701, 0.04888976977875803, 0.04890542328928562, 0.04892235033740143, 0.048940530460647162, 0.048959942080269145, 0.048980562590961924, 0.049002368446490648, 0.049025335239081896, 0.049049437770378207, 0.049074650111648396, 0.049100945650840867, 0.049128297123963945, 0.049156676628159986, 0.049186055613727943, 0.04921640485222141, 0.049247694377622518, 0.049279893397463616, 0.049312970170641596, 0.049346891848551087, 0.04938162427606712, 0.049417131748839112, 0.04945337672334419, 0.049490319476203033, 0.049527917709412964, 0.049566126098447745, 0.049604895780636621, 0.049644173781926884, 0.049683902381115731, 0.049724018411964652, 0.049764452505368179, 0.049805128276013445, 0.049845961460819918, 0.049886859019971627, 0.049927718215613842, 0.049968425688329841, 0.050008856557354681, 0.050048873577073848, 0.050088326389585998, 0.050127050920755138, 0.050164868974900641, 0.050201588090579653, 0.05023700172613977, 0.050270889848026259, 0.050303019996206587, 0.050333148898393576, 0.050361024696817636, 0.0503863898369857, 0.050408984646256719, 0.050428551600663334, 0.050444840241358938, 0.050457612658356202, 0.05046664941088376, 0.050471755703847328, 0.05047276759272791, 0.050469557949753725, 0.05046204189764928, 0.050450181408691418, 0.050433988780091289, 0.050413528733935786, 0.050388918950634923, 0.050360328925792605, 0.050327977135653679, 0.050292126597617573, 0.05025307901031361, 0.05021116774299722, 0.050166750008424993, 0.050120198591194438, 0.050071893512227107, 0.050022213990430074, 0.049971531018431284, 0.04992020080677935, 0.049868559277539429, 0.049816917711399178, 0.049765559579080659, 0.049714738523430606, 0.049664677406639664, 0.049615568299351459, 0.049567573265046669, 0.04952082578280334, 0.049475432652266331, 0.049431476233889333, 0.049389016892644313, 0.049348095532028499, 0.049308736125297417, 0.049270948170807377, 0.049234729017023096, 0.049200066019395396, 0.049166938505551164, 0.049135319536956198, 0.049105177464481793, 0.049076477282339645, 0.049049181789927204, 0.049023252574552395, 0.048998650830092971, 0.048975338027676923, 0.048953276454704098, 0.048932429638178808, 0.048912762667571733, 0.048894242431421216, 0.048876837780726219, 0.048860519630966499, 0.048845261013363915, 0.04883103708481925, 0.048817825104848694, 0.048805604386814749, 0.048794356229813034, 0.04878406383673288, 0.048774712223261033, 0.048766288121931491, 0.048758779884740519, 0.048752177387327705, 0.048746471937275979, 0.048741656188679566, 0.048737724064783355, 0.048734670690180129, 0.04873249233377399, 0.04873118636346653, 0.048730751213286093], [0.0493760938899988, 0.049377055382225192, 0.049379939805503065, 0.049384747025844861, 0.049391476907437816, 0.049400129444294644, 0.049410704945402124, 0.049423204274302447, 0.049437629144436224, 0.049453982472082124, 0.049472268789370819, 0.04949249472065087, 0.049514669526498356, 0.049538805720929176, 0.049564919768943755, 0.049593032873489873, 0.049623171863357067, 0.049655370196527063, 0.0496896690972446, 0.049726118849748348, 0.049764780277441301, 0.049805726443644081, 0.049849044619377947, 0.049894838575494586, 0.04994323127168003, 0.049994368034527725, 0.050048420342499941, 0.050105590369255874, 0.050166116481450987, 0.050230279946822894, 0.050298413189067609, 0.050370910036222648, 0.050448238561461869, 0.050530957327930816, 0.050619736150374905, 0.050715382918501958, 0.050818878656580108, 0.050931423925739815, 0.051054501079462786, 0.051189959038776767, 0.051340130634923764, 0.05150799799438343, 0.051697430379002714, 0.051913534042248209, 0.052163180177262299, 0.05245582516516191, 0.052804828419119695, 0.053229653954754749, 0.053759721449346258, 0.054441523898601518, 0.055352695771125088, 0.05663224602843988, 0.058552901516086622, 0.061720928615877177, 0.067751913800576921, 0.082385830087392767, 0.13980376175110495, 0.40497027420145437, 0.08972623090918258, 0.054997862005570483, 0.049274978368035037, 0.047886415163383073, 0.047564115754061186, 0.047571460826356445, 0.047689086758575978, 0.047840330844483726, 0.04799588760096405, 0.048144174026390374, 0.048280773565642754, 0.048404298518594777, 0.048514658010043538, 0.048612303520639714, 0.048697896261971609, 0.048772164228528252, 0.048835846184720567, 0.048889674921574811, 0.04893437683388395, 0.048970676528977061, 0.048999300979156543, 0.049020980792194011, 0.049036447888019183, 0.049046429861153519, 0.049051641862525336, 0.049052777088238922, 0.049050496996122156, 0.049045422245033436, 0.049038125124461457, 0.049029123967219083, 0.049018879763035587, 0.049007794950855443, 0.048996214183926863, 0.048984426742033266, 0.048972670206338963, 0.048961135004016408, 0.048949969458458892, 0.048939285032566789, 0.048929161515182854, 0.048919651964895283, 0.048910787284782528, 0.048902580352601234, 0.048895029671904199, 0.048888122540616287, 0.04888183775561044, 0.048876147886209087, 0.048871021157832401, 0.04886642299069692, 0.048862317238851406, 0.048858667172985738, 0.048855436247222495, 0.048852588686127477, 0.048850089923915957, 0.048847906923592629, 0.04884600839974787, 0.048844364965053066, 0.048842949217210996, 0.048841735780238385, 0.048840701311478565, 0.048839824483628572, 0.04883908594929276, 0.048838468294094009, 0.04883795598315286, 0.048837535304743634, 0.048837194314122541, 0.048836922779862617, 0.04883671213450131, 0.048836555430881043, 0.048836447305223261, 0.048836383947703628, 0.048836363081075189, 0.048836364541809847, 0.048836368923774187, 0.048836376226220252, 0.048836386447804553, 0.048836399586442439, 0.048836415639102224, 0.048836434601538491, 0.048836456467961947, 0.048836481230643651, 0.048836508879451318, 0.048836539401313342, 0.048836572779607568, 0.04883660899347006, 0.048836648017017932, 0.048836689818482555, 0.048836734359244315, 0.048836781592763286, 0.048836831463397276, 0.048836883905098168, 0.048836938839976744, 0.048836996176724226, 0.048837055808879939, 0.048837117612928978, 0.048837181446216897, 0.048837247144663379, 0.048837314520256969, 0.048837383358309776, 0.048837453414449658, 0.048837524411324863, 0.048837596034992388, 0.048837667930959734, 0.048837739699845242, 0.048837810892618655, 0.048837881005379856, 0.048837949473627879, 0.048838015665968432, 0.048838078877201013, 0.048838138320720557, 0.04883819312016089, 0.048838242300199716, 0.048838284776433961, 0.048838319344224689, 0.048838344666398761, 0.048838359259680705, 0.048838361479712614, 0.048838349504503692, 0.048838321316130105, 0.048838274680484767, 0.048838207124850874, 0.048838115913044301, 0.048837998017838273, 0.048837850090344907, 0.048837668425987572, 0.048837448926647722, 0.048837187058516356, 0.048836877805114705, 0.048836515614876605, 0.04883609434260127, 0.048835607183987495, 0.048835046602349753, 0.048834404246487412, 0.048833670858530007, 0.048832836170408053, 0.048831888787401058, 0.048830816056981557, 0.048829603920905192, 0.048828236748186316, 0.048826697146233097, 0.048824965746998114, 0.048823020964508343, 0.048820838719574829, 0.048818392126826059, 0.048815651138457483, 0.048812582138230518, 0.048809147478280399, 0.048805304950211605, 0.048801007180779836, 0.04879620094122572, 0.048790826358116789, 0.048784816012521229, 0.048778093913751021, 0.048770574334245927, 0.048762160494225215, 0.048752743089894468, 0.048742198669598197, 0.048730387882367082, 0.04871715365971202, 0.048702319456248762, 0.048685687788865215, 0.048667039515305259, 0.048646134649658154, 0.048622716151261416, 0.048596519286200617, 0.048567291317800035, 0.04853483038217548, 0.048499060423474315, 0.04846017529111233, 0.048418919293528789, 0.048377147070648566, 0.048338982437132118, 0.048313338773208238, 0.04831977008617714, 0.048403269731127123, 0.048676237128545484, 0.049457818234930277, 0.051855495286049234, 0.061233163731467331, 0.1222401666282065, 0.20228144245176499, 0.091731570733934981, 0.068821554252901748, 0.061277483235726356, 0.057826489938911152, 0.055927955259004389, 0.0547568891896048, 0.053977279860270781, 0.053429880985628467, 0.053030612753828685, 0.052731362033220583, 0.052502845365062202, 0.052326365981327366, 0.052189539150232118, 0.052083937916909802, 0.052003732653192733, 0.051944875336493182, 0.051904598399320039, 0.051881104973585113, 0.051873382828779319, 0.051881104973585078, 0.051904598399320025, 0.051944875336493182, 0.052003732653192726, 0.052083937916909816, 0.052189539150231924, 0.052326365981327609, 0.052502845365062299, 0.052731362033220701, 0.053030612753829337, 0.053429880985628626, 0.053977279860271003, 0.05475688918960437, 0.055927955259004292, 0.057826489938910208, 0.061277483235727029, 0.068821554252897904, 0.091731570733909445, 0.20228144245193577, 0.12224016662807474, 0.06123316373146722, 0.051855495286047978, 0.049457818234929389, 0.048676237128545463, 0.048403269731127109, 0.048319770086177077, 0.048313338773208266, 0.048338982437132139, 0.048377147070648538, 0.048418919293528852, 0.048460175291112351, 0.048499060423474329, 0.048534830382175501, 0.048567291317800111, 0.048596519286200617, 0.048622716151261368, 0.048646134649658133, 0.048667039515305266, 0.048685687788865215, 0.04870231945624879, 0.048717153659712034, 0.048730387882367047, 0.048742198669598252, 0.048752743089894475, 0.04876216049422518, 0.048770574334245913, 0.048778093913751035, 0.048784816012521229, 0.048790826358116789, 0.048796200941225741, 0.048801007180779857, 0.048805304950211563, 0.048809147478280371, 0.048812582138230518, 0.048815651138457469, 0.048818392126826031, 0.048820838719574836, 0.04882302096450835, 0.048824965746998059, 0.048826697146233049, 0.04882823674818626, 0.048829603920905199, 0.048830816056981557, 0.048831888787401106, 0.04883283617040806, 0.048833670858530014, 0.048834404246487412, 0.048835046602349733, 0.048835607183987467, 0.048836094342601298, 0.048836515614876584, 0.048836877805114656, 0.048837187058516363, 0.048837448926647743, 0.048837668425987607, 0.048837850090344921, 0.048837998017838259, 0.048838115913044294, 0.048838207124850833, 0.048838274680484781, 0.04883832131613014, 0.048838349504503678, 0.048838361479712586, 0.048838359259680678, 0.048838344666398775, 0.048838319344224702, 0.048838284776433982, 0.048838242300199688, 0.048838193120160849, 0.048838138320720564, 0.048838078877201013, 0.048838015665968439, 0.048837949473627837, 0.048837881005379856, 0.048837810892618669, 0.048837739699845249, 0.048837667930959706, 0.048837596034992381, 0.048837524411324815, 0.048837453414449658, 0.048837383358309797, 0.04883731452025699, 0.048837247144663358, 0.048837181446216869, 0.048837117612928943, 0.048837055808879919, 0.048836996176724275, 0.048836938839976723, 0.048836883905098209, 0.048836831463397311, 0.048836781592763293, 0.048836734359244294, 0.048836689818482583, 0.04883664801701796, 0.048836608993470032, 0.048836572779607602, 0.048836539401313342, 0.048836508879451297, 0.048836481230643665, 0.048836456467961926, 0.048836434601538491, 0.048836415639102224, 0.048836399586442418, 0.048836386447804567, 0.048836376226220266, 0.048836368923774208, 0.048836364541809882, 0.048836363081075133, 0.048836363811727963, 0.048836366006994161, 0.048836369676798531, 0.048836374837686575, 0.048836381512831123, 0.048836389732041671, 0.048836399531775578, 0.048836410955152634, 0.04883642405197168, 0.048836438878729779, 0.048836455498643946, 0.048836473981674962, 0.048836494404554072, 0.048836516850811147, 0.048836541410805831, 0.048836568181760208, 0.048836597267793908, 0.048836628779960721, 0.048836662836287563, 0.048836699561814245, 0.048836739088635978, 0.048836781555946174, 0.048836827110081034, 0.048836875904565119, 0.048836928100157863, 0.048836983864900402, 0.048837043374163017, 0.048837106810692969, 0.048837174364661694, 0.048837246233711919, 0.048837322623003922, 0.048837403745260605, 0.048837489820811167, 0.048837581077632516, 0.048837677751388787, 0.048837780085467242, 0.048837888331011443, 0.048838002746949466, 0.048838123600018213, 0.048838251164781854, 0.048838385723643837, 0.04883852756685246, 0.04883867699249788, 0.048838834306500704, 0.048838999822589962, 0.04883917386227065, 0.048839356754778414, 0.048839548837020602, 0.048839750453502202, 0.048839961956234849, 0.048840183704627532, 0.048840416065356877, 0.048840659412215139, 0.048840914125933624, 0.048841180593979482, 0.048841459210322916, 0.048841750375172834, 0.048842054494676782, 0.048842371980583478, 0.048842703249863444, 0.048843048724284452, 0.04884340882993795, 0.048843783996711777, 0.048844174657705228, 0.048844581248580834, 0.048845004206848112, 0.048845443971073058, 0.048845900980007982, 0.048846375671634031, 0.048846868482110617, 0.048847379844623041, 0.048847910188120729, 0.048848459935937533, 0.048849029504284477, 0.048849619300605121, 0.048850229721782788, 0.048850861152189028, 0.048851513961559997, 0.048852188502689325, 0.048852885108922654, 0.048853604091440357, 0.048854345736312532, 0.048855110301309762, 0.048855898012453935, 0.048856709060289119, 0.048857543595855431, 0.04885840172634464, 0.048859283510417961, 0.048860188953163054, 0.048861118000669591, 0.048862070534198318, 0.048863046363921234, 0.048864045222207893, 0.048865066756432714, 0.048866110521279336, 0.048867175970515028, 0.048868262448212921, 0.048869369179395411, 0.048870495260076488, 0.048871639646681342, 0.048872801144821822, 0.04887397839741172, 0.048875169872105675, 0.048876373848052511, 0.048877588401956017, 0.04887881139344339, 0.048880040449748856, 0.048881272949726058, 0.048882506007214534, 0.048883736453795026, 0.048884960820982738, 0.048886175321918898, 0.048887375832641591, 0.048888557873030744, 0.048889716587546532, 0.048890846725898884, 0.048891942623814688, 0.048892998184092533, 0.048894006858165986, 0.048894961628426187, 0.048895854991587176, 0.048896678943411168, 0.048897424965145195, 0.048898084012055788, 0.048898646504481252, 0.048899102321855729, 0.04889944080018635, 0.04889965073349313, 0.048899389234009723, 0.048897517679691041, 0.048893655530014249, 0.048887396868735722, 0.048878327070376364, 0.048866045272610396, 0.048850191533792747, 0.048830476215778608, 0.048806707846239437, 0.048778814896170045, 0.048746856962812883, 0.048711021990510937, 0.048671608268364003, 0.048628992533549506, 0.048583587890464998, 0.048535796774898651, 0.048485964474101237, 0.048434337782921819, 0.048381031618701761, 0.048326004413776824, 0.04826904142832579, 0.04820974421225914, 0.048147524591508541, 0.048081603096229782, 0.048011015436927533, 0.047934638396984683, 0.047851263158899877, 0.047759781631146421, 0.047659640909685448, 0.047551948279194324, 0.047442229820135177, 0.047347703539334686, 0.047318186915318299, 0.047504439975721194, 0.048429032023626507, 0.052446232479642661, 0.077502981203594556, 0.3996212131043258, 0.13910038276013101, 0.080820392342881214, 0.067125455330162287, 0.061684264542099375, 0.058917038887912089, 0.057302283485454603, 0.056277104235697178, 0.055589790433003494, 0.055112067158780517, 0.054771901794730952, 0.054525637073416088, 0.054345102020632183, 0.054211132147991635, 0.054110094164666271, 0.054031926154750012, 0.053968988691550424, 0.0539153704997897, 0.053866457523630819, 0.053818657484421745, 0.05376921634878927, 0.053716088134742775, 0.053657834442953377, 0.05359353955753661, 0.053522733184844726, 0.053445317044801821, 0.053361494213664026, 0.05327170171006252, 0.053176547585341988, 0.053076753951156179, 0.052973107155322052, 0.052866415878449563, 0.05275747741201324, 0.052647051896503323, 0.052535843909111327, 0.052424490522068289, 0.052313554806658356, 0.052203523718288534, 0.052094809340373138, 0.051987752562693459, 0.051882628399137889, 0.051779652290696448, 0.051678986877988199, 0.05158074885419258, 0.051485015618964257, 0.051391831544841109, 0.051301213740088704, 0.051213157247459729, 0.051127639659281562, 0.051044625158118126, 0.050964068011445776, 0.050885915560525061, 0.050810110749842083, 0.050736594245686661, 0.050665306191855421, 0.050596187648091304, 0.05052918175338543, 0.050464234652219851, 0.050401296217571376, 0.050340320600285718, 0.050281266630433252, 0.050224098092564923, 0.0501687838934552, 0.05011529813797333, 0.050063620126156574, 0.050013734282363657, 0.049965630025536556, 0.049919301588075539, 0.049874747789594054, 0.049831971770859122, 0.049790980692493172, 0.04975178540249587, 0.049714400076315134, 0.049678841833027461, 0.049645130331147883, 0.049613287347666235, 0.049583336344065941, 0.049555302023298803, 0.049529209881944466, 0.049505085762048991, 0.049482955407385454, 0.049462844029101831, 0.049444775885870457, 0.049428773883742005, 0.049414859200892301, 0.049403050942333826, 0.049393365829439172, 0.049385817928771419, 0.049380418424265826, 0.049377175436233864, 0.0493760938899988, 0.049376814931909312, 0.049378977088680873, 0.049382577459596094, 0.049387611230567889, 0.049394071704470202, 0.049401950342935597, 0.049411236818965483, 0.049421919079516569, 0.049433983417059679, 0.049447414548943469, 0.049462195703239967, 0.049478308709605061, 0.049495734093549695, 0.049514451172388056, 0.049534438151009275, 0.049555672215500432, 0.049578129622543363, 0.049601785782392833, 0.04962661533314143, 0.049652592203865982, 0.049679689664137099, 0.049707880357259225, 0.049737136314481026, 0.049767428947289222, 0.049798729014757244, 0.049831006562775157, 0.049864230831839954, 0.049898370129936136, 0.04993339166689395, 0.049969261346491184, 0.050005943512468967, 0.050043400644588863, 0.050081593000888318, 0.050120478202415684, 0.050160010757001244, 0.050200141519068396, 0.050240817083179214, 0.050281979110001256, 0.050323563584745316, 0.050365500009944851, 0.050407710536812519, 0.050450109042409354, 0.050492600163589814, 0.050535078303218496, 0.050577426629551975, 0.050619516095962699, 0.050661204515312454, 0.05070233573115087, 0.050742738936288452, 0.05078222819781758, 0.05082060225580267, 0.050857644669912529, 0.050893124393320104, 0.050926796855135327, 0.050958405630219653, 0.050987684767128859, 0.051014361829870424, 0.051038161686099065, 0.051058811042712017, 0.051076043689645696, 0.051089606365056016, 0.051099265102185425, 0.051104811863502644, 0.051106071215761641, 0.051102906755970012, 0.051095226968779349, 0.051082990186075081, 0.05106620833390281, 0.051044949192625318, 0.051019336962864766, 0.05098955101872904, 0.050955822834341337, 0.05091843118068802, 0.050877695796785485, 0.050833969831732183, 0.050787631423446583, 0.050739074819627084, 0.050688701454074885, 0.050636911368111125, 0.050584095316856634, 0.050530627830567831, 0.050476861420306267, 0.050423122033336897, 0.05036970578427033, 0.050316876918870511, 0.050264866912405573, 0.050213874565119186, 0.050164066933735249, 0.05011558092838115, 0.050068525406537966, 0.050022983606780286, 0.049979015782299886, 0.04993666191491454, 0.049895944412261271, 0.049856870712475847, 0.049819435740680457, 0.04978362417930423, 0.049749412529270891, 0.049716770951337558, 0.049685664886467258, 0.049656056461319521, 0.049627905690070709, 0.049601171487162664, 0.049575812507571183, 0.049551787832084956, 0.04952905751517199, 0.049507583012506781, 0.049487327504331359, 0.049468256129673226, 0.049450336145159507, 0.049433537020835194, 0.049417830484072819, 0.049403190521396578, 0.049389593346860661, 0.049377017344532426, 0.049365442991647288, 0.04935485276811738, 0.049345231057294235, 0.049336564042192207, 0.049328839600773194, 0.049322047203359219, 0.049316177814775201, 0.049311223803412074, 0.049307178859043801, 0.049304037920909927, 0.049301797117289679, 0.049300453717538953, 0.049300006097320166], [0.04986312763211688, 0.049864115302815114, 0.049867078287624531, 0.049872016532109244, 0.049878930037066879, 0.0498878189962602, 0.049898683990170313, 0.049911526236804726, 0.049926347901024168, 0.049943152464404367, 0.049961945158345525, 0.049982733464011289, 0.05000552768377603, 0.050030341590230232, 0.050057193160494763, 0.050086105405711442, 0.050117107308207419, 0.050150234882095551, 0.050185532377135321, 0.050223053650760213, 0.050262863739539455, 0.050305040669375439, 0.0503496775539094, 0.05039688504360914, 0.050446794204711383, 0.050499559928830179, 0.050555365002304967, 0.050614425001578867, 0.050676994230374486, 0.050743372980821128, 0.050813916490668735, 0.050889046092020655, 0.050969263217858177, 0.051055167172298535, 0.051147477911134102, 0.051247065570139243, 0.0513549891970718, 0.051472548212182029, 0.051601351741153843, 0.051743413465710597, 0.051901283585844102, 0.05207823587210051, 0.052278538386845083, 0.052507854584143157, 0.052773853560977392, 0.053087167122224777, 0.053462944271531893, 0.053923481498554499, 0.054502894204131042, 0.055255910784464679, 0.056275653603366275, 0.057732968095939523, 0.059974161133298363, 0.063805405330073409, 0.071531367705506638, 0.092382121647924184, 0.19458667923034229, 0.27332105465007728, 0.072179409697349303, 0.05288031823023874, 0.049125979428703712, 0.048183804310167055, 0.047996501151562621, 0.048051503437225009, 0.048187276089603034, 0.048345483957256012, 0.048503471081603911, 0.048652294372679372, 0.048788645250250347, 0.048911611748383987, 0.049021303426635805, 0.049118248545165562, 0.049203129398407236, 0.049276671103141233, 0.049339600847413158, 0.04939263858479901, 0.049436500173248014, 0.049471903535845074, 0.049499573269260876, 0.049520241743979045, 0.049534646245623967, 0.049543522599474088, 0.04954759622547189, 0.049547571796837032, 0.049544122687704598, 0.049537881250267632, 0.049529430716055922, 0.049519299224302128, 0.049507956191101619, 0.049495810982486517, 0.049483213664227317, 0.049470457478607087, 0.049457782639738518, 0.049445381033037646, 0.049433401436686196, 0.049421954938644555, 0.049411120289312306, 0.049400948997564614, 0.049391470040107466, 0.049382694107206665, 0.049374617350390185, 0.049367224629789971, 0.049360492281403628, 0.049354390439224793, 0.049348884955549573, 0.049343938966365651, 0.049339514148945794, 0.049335571716704711, 0.049332073192927116, 0.049328981000781577, 0.049326258902571682, 0.049323872316757042, 0.049321788537103756, 0.049319976874512318, 0.049318408738673082, 0.049317057673731284, 0.049315899359589938, 0.049314911588309002, 0.049314074223239419, 0.049313369147014952, 0.049312780203276285, 0.0493122931359797, 0.049311895529313324, 0.049311576750572482, 0.049311327897808746, 0.049311141753636933, 0.049311012746239946, 0.049310936918338759, 0.049310911904670615, 0.049310914006337359, 0.049310920311862773, 0.049310930822794828, 0.04931094554162125, 0.049310964471631039, 0.049310987616718545, 0.049311014981129692, 0.049311046569147601, 0.049311082384715876, 0.049311122430996668, 0.049311166709860209, 0.049311215221301809, 0.049311267962782672, 0.04931132492848822, 0.049311386108500499, 0.049311451487875878, 0.049311521045623086, 0.049311594753572399, 0.049311672575128064, 0.049311754463893673, 0.049311840362159597, 0.049311930199241398, 0.049312023889654617, 0.049312121331111979, 0.049312222402326536, 0.049312326960602712, 0.04931243483919466, 0.049312545844410256, 0.049312659752436143, 0.049312776305855864, 0.049312895209831467, 0.049313016127914493, 0.049313138677449429, 0.049313262424527791, 0.049313386878446955, 0.049313511485622588, 0.049313635622897645, 0.049313758590184303, 0.049313879602367931, 0.049313997780394782, 0.049314112141454758, 0.049314221588160762, 0.049314324896614893, 0.049314420703238174, 0.049314507490225312, 0.049314583569470459, 0.049314647064789219, 0.049314695892242452, 0.049314727738341224, 0.04931474003588595, 0.049314729937160851, 0.049314694284167834, 0.049314629575544701, 0.049314531929763802, 0.049314397044155661, 0.049314220149238801, 0.049313995957768142, 0.049313718607832381, 0.04931338159923819, 0.049312977722312121, 0.049312498978127034, 0.049311936489017459, 0.049311280398082774, 0.049310519756186118, 0.049309642394735863, 0.049308634782277636, 0.049307481862628975, 0.049306166871938915, 0.04930467113165532, 0.049302973813912278, 0.049301051675311174, 0.049298878754440299, 0.049296426027756766, 0.049293661017628825, 0.049290547345394405, 0.049287044221240459, 0.049283105861547091, 0.049278680823102425, 0.049273711242341686, 0.049268131966611409, 0.049261869563622412, 0.049254841195114391, 0.049246953341950693, 0.049238100371509351, 0.049228162946214564, 0.049217006287575832, 0.04920447833867491, 0.049190407919178447, 0.049174603057288324, 0.049156849842047191, 0.049136912420209837, 0.04911453526202153, 0.049089449722951789, 0.049061388586650143, 0.049030115387986697, 0.048995481318303523, 0.048957534460570017, 0.048916730775072498, 0.048874349514089997, 0.048833336882808269, 0.048800095128755459, 0.048788500791593165, 0.048829635638116334, 0.0489978196124327, 0.049490314313997398, 0.050922545885899596, 0.055784177646261257, 0.07979118846945385, 0.23468742158762212, 0.1247223740999337, 0.077284942836485848, 0.064925209090502922, 0.059954159477353823, 0.057416570779997553, 0.055924506738758699, 0.054963260606761807, 0.054304059106984222, 0.053831607430594661, 0.053482213234941435, 0.05321816077055512, 0.053015890067721151, 0.052860067738001414, 0.052740408590347905, 0.052649879287701068, 0.052583640794850332, 0.052538408293393797, 0.052512060229396675, 0.052503405572966427, 0.05251206022939664, 0.052538408293393797, 0.052583640794850332, 0.052649879287701054, 0.05274040859034794, 0.052860067738001212, 0.053015890067721387, 0.053218160770555231, 0.053482213234941546, 0.053831607430595445, 0.05430405910698443, 0.054963260606762113, 0.055924506738758199, 0.057416570779997358, 0.059954159477352574, 0.064925209090503644, 0.077284942836479686, 0.1247223740998778, 0.23468742158749109, 0.07979118846940747, 0.055784177646261424, 0.050922545885898951, 0.049490314313996843, 0.048997819612432679, 0.048829635638116341, 0.04878850079159313, 0.048800095128755494, 0.048833336882808276, 0.048874349514089976, 0.048916730775072581, 0.048957534460570037, 0.04899548131830353, 0.049030115387986718, 0.049061388586650198, 0.049089449722951789, 0.049114535262021496, 0.049136912420209816, 0.049156849842047226, 0.049174603057288338, 0.049190407919178468, 0.049204478338674917, 0.049217006287575804, 0.049228162946214606, 0.049238100371509372, 0.049246953341950651, 0.04925484119511437, 0.049261869563622399, 0.049268131966611395, 0.049273711242341672, 0.049278680823102439, 0.049283105861547126, 0.049287044221240424, 0.04929054734539437, 0.049293661017628831, 0.049296426027756753, 0.049298878754440278, 0.049301051675311194, 0.049302973813912278, 0.049304671131655271, 0.049306166871938888, 0.04930748186262892, 0.049308634782277615, 0.049309642394735856, 0.049310519756186166, 0.049311280398082788, 0.049311936489017487, 0.049312498978127027, 0.049312977722312121, 0.049313381599238169, 0.049313718607832402, 0.049313995957768142, 0.04931422014923878, 0.049314397044155647, 0.049314531929763837, 0.049314629575544749, 0.049314694284167862, 0.049314729937160844, 0.04931474003588595, 0.049314727738341189, 0.049314695892242466, 0.049314647064789267, 0.049314583569470445, 0.049314507490225284, 0.04931442070323816, 0.049314324896614907, 0.049314221588160775, 0.049314112141454758, 0.049313997780394775, 0.04931387960236791, 0.049313758590184324, 0.049313635622897652, 0.049313511485622588, 0.049313386878446913, 0.049313262424527812, 0.049313138677449443, 0.04931301612791452, 0.049312895209831425, 0.04931277630585585, 0.049312659752436108, 0.049312545844410229, 0.049312434839194688, 0.049312326960602719, 0.049312222402326515, 0.049312121331111951, 0.049312023889654583, 0.049311930199241384, 0.049311840362159617, 0.049311754463893652, 0.049311672575128092, 0.04931159475357242, 0.0493115210456231, 0.049311451487875885, 0.049311386108500513, 0.049311324928488269, 0.049311267962782658, 0.049311215221301843, 0.049311166709860202, 0.049311122430996661, 0.049311082384715876, 0.049311046569147587, 0.049311014981129699, 0.049310987616718552, 0.049310964471631011, 0.049310945541621257, 0.049310930822794856, 0.049310920311862801, 0.049310914006337372, 0.04931091190467056, 0.049310912955768213, 0.049310916112496876, 0.049310921385165095, 0.04931092879095815, 0.049310938353944615, 0.049310950105085974, 0.049310964082247978, 0.049310980330215352, 0.04931099890070887, 0.049311019852404631, 0.049311043250956255, 0.049311069169018985, 0.049311097686276881, 0.049311128889471263, 0.049311162872432382, 0.04931119973611249, 0.049311239588621471, 0.04931128254526377, 0.049311328728577936, 0.049311378268376754, 0.049311431301790207, 0.049311487973308664, 0.049311548434827782, 0.049311612845694498, 0.049311681372753526, 0.049311754190394748, 0.049311831480600407, 0.049311913432993223, 0.049312000244883324, 0.049312092121315119, 0.049312189275113327, 0.049312291926927466, 0.04931240030527486, 0.04931251464658102, 0.049312635195218307, 0.049312762203540299, 0.049312895931913327, 0.049313036648743015, 0.049313184630496068, 0.049313340161716374, 0.049313503535033887, 0.049313675051167016, 0.049313855018915623, 0.049314043755145344, 0.049314241584760797, 0.049314448840667532, 0.049314665863720818, 0.049314893002659836, 0.049315130614026113, 0.049315379062064402, 0.049315638718604213, 0.049315909962919978, 0.049316193181568178, 0.049316488768198635, 0.049316797123338106, 0.049317118654143115, 0.049317453774119877, 0.049317802902807233, 0.049318166465420511, 0.049318544892452104, 0.049318938619225046, 0.049319348085395898, 0.049319773734401828, 0.04932021601284832, 0.04932067536983107, 0.04932115225618789, 0.04932164712367379, 0.049322160424053886, 0.049322692608106386, 0.049323244124529431, 0.049323815418743346, 0.049324406931580286, 0.049325019097852661, 0.049325652344790569, 0.049326307090338153, 0.049326983741298264, 0.04932768269131408, 0.049328404318675134, 0.04932914898393502, 0.049329917027326892, 0.049330708765962523, 0.049331524490799035, 0.049332364463356891, 0.049333228912173135, 0.049334118028970031, 0.049335031964521853, 0.049335970824198966, 0.049336934663169074, 0.049337923481233517, 0.04933893721727782, 0.049339975743311455, 0.049341038858075302, 0.049342126280191898, 0.049343237640833759, 0.049344372475887043, 0.049345530217583422, 0.049346710185579762, 0.049347911577459443, 0.049349133458634113, 0.049350374751626451, 0.049351634224713122, 0.049352910479914344, 0.049354201940315534, 0.049355506836714309, 0.049356823193588056, 0.04935814881438539, 0.049359481266151625, 0.049360817863505435, 0.049362155651995032, 0.049363491390872989, 0.049364821535342183, 0.049366142218337558, 0.049367449231929143, 0.049368738008445073, 0.049370003601438943, 0.049371240666643133, 0.04937244344307877, 0.049373605734516615, 0.04937472089151311, 0.049375781794275521, 0.049376780836641682, 0.049377709911493463, 0.049378560397955178, 0.049379323150763134, 0.049379988492223026, 0.049380546207205195, 0.049380985541653322, 0.049381295205107333, 0.04938132540298925, 0.049379733146789478, 0.049376137195354698, 0.049370132081780815, 0.049361304930237153, 0.049349257942874945, 0.049333635408006248, 0.049314152779664562, 0.049290624140732146, 0.049262983585749889, 0.049231296133111328, 0.049195754903053779, 0.049156663355801003, 0.049114403907298897, 0.049069396556423388, 0.049022052632791628, 0.048972729045268483, 0.048921687504420316, 0.04886906148223457, 0.048814831717941522, 0.048758809426263525, 0.048700625419091113, 0.048639723376625497, 0.048575356769528649, 0.04850659204056388, 0.048432327164714614, 0.048351348524008547, 0.048262479822905019, 0.04816494922359426, 0.048059281774370945, 0.047949508362715478, 0.047848894948745273, 0.047795997657840414, 0.047905191481061808, 0.048555693159507918, 0.051317707977934619, 0.066217715240413172, 0.24784233316560372, 0.18995470884964274, 0.089292241121163171, 0.07037960052066157, 0.06355887110087384, 0.060260154826940936, 0.058392787750427888, 0.057231013521212515, 0.05646346320384258, 0.055936035901611773, 0.055564067035721969, 0.055297104492713675, 0.055103025018133439, 0.054960205900234524, 0.054853392972407156, 0.054771401069600732, 0.054705781207014408, 0.054650023228229358, 0.054599065586522402, 0.054548984718395623, 0.054496789536732912, 0.054440276216147873, 0.054377916048936825, 0.054308760223454981, 0.054232352634159431, 0.054148646640201206, 0.054057924770779198, 0.053960722166272498, 0.053857755363898654, 0.05374985815966072, 0.053637925951813048, 0.053522869409364557, 0.053405577682692898, 0.053286890801937423, 0.053167580462283724, 0.053048338100869591, 0.052929769023867347, 0.052812391321115239, 0.052696638377513427, 0.052582863922354464, 0.052471348720865521, 0.052362308183810165, 0.052255900335127461, 0.052152233724513608, 0.052051374996721793, 0.051953355930910362, 0.051858179842699685, 0.051765827301141792, 0.051676261155620441, 0.051589430896927198, 0.051505276395378947, 0.051423731069428394, 0.051344724542959866, 0.051268184850100068, 0.051194040244264848, 0.051122220664355976, 0.051052658906251422, 0.050985291542556287, 0.05092005962835696, 0.050856909225693817, 0.050795791774791432, 0.050736664335835666, 0.050679489721303032, 0.050624236535538179, 0.050570879135419702, 0.050519397523531566, 0.050469777183231888, 0.050422008863352283, 0.050376088318923276, 0.050332016013286837, 0.050289796786175629, 0.050249439491789671, 0.050210956610551687, 0.050174363838046333, 0.050139679654610345, 0.050106924879125332, 0.050076122210738046, 0.050047295762467504, 0.050020470590933182, 0.049995672226724922, 0.049972926210203425, 0.04995225763776278, 0.049933690723752117, 0.04991724838335599, 0.049902951841729812, 0.049890820274575795, 0.049880870485122561, 0.049873116622115778, 0.049867569942969162, 0.049864238625640434, 0.04986312763211688, 0.049863868305225496, 0.049866089343220503, 0.049869787808508696, 0.049874958826329328, 0.049881595616252876, 0.049889689535592315, 0.049899230134051016, 0.049910205218743481, 0.049922600928552059, 0.049936401816613518, 0.049951590939568552, 0.049968149952058241, 0.049986059204808884, 0.050005297844512242, 0.050025843913583438, 0.050047674447753855, 0.050070765569346573, 0.050095092573959277, 0.050120630008171491, 0.050147351735773713, 0.050175230989893731, 0.050204240408271261, 0.05023435204879094, 0.05026553738224418, 0.050297767259131376, 0.050331011847152426, 0.050365240535865427, 0.05040042180481983, 0.05043652305130189, 0.050473510373680183, 0.05051134830621206, 0.050549999501098827, 0.050589424353573581, 0.050629580565901069, 0.050670422646416538, 0.050711901340159835, 0.05075396298834129, 0.050796548814875719, 0.050839594139612497, 0.0508830275197696, 0.050926769823540843, 0.05097073324299356, 0.051014820257309211, 0.051058922562234203, 0.051102919987375039, 0.051146679429721849, 0.051190053839488367, 0.051232881302907436, 0.051274984275782448, 0.05131616903099296, 0.051356225392227291, 0.051394926834191508, 0.051432031035442423, 0.051467280972591775, 0.05150040664255924, 0.051531127491330916, 0.051559155611880153, 0.051584199749332045, 0.051605970117390765, 0.051624183986547945, 0.051638571952738875, 0.051648884737279868, 0.051654900308855001, 0.051656431061103979, 0.051653330731097527, 0.05164550071122314, 0.051632895395941077, 0.051615526220368371, 0.051593464092267748, 0.051566839992210282, 0.051535843614378664, 0.051500720035191752, 0.051461764518502214, 0.051419315682891466, 0.051373747357045904, 0.051325459523567984, 0.05127486879319762, 0.051222398857617361, 0.051168471341279789, 0.051113497416204086, 0.051057870466295507, 0.051001959998665893, 0.050946106907908899, 0.050890620113429028, 0.050835774515925303, 0.050781810160899082, 0.050728932456216583, 0.05067731326697425, 0.050627092702370813, 0.050578381413253992, 0.050531263232331508, 0.050485798008579517, 0.050442024510338343, 0.050399963295618022, 0.050359619471476498, 0.050320985285763363, 0.050284042513302277, 0.050248764614376086, 0.050215118656148569, 0.050183066997562753, 0.050152568745602727, 0.050123580995951822, 0.050096059874402653, 0.050069961397246371, 0.050045242169614063, 0.050021859940662147, 0.049999774033820873, 0.049978945669260477, 0.049959338194430963, 0.04994091723711009, 0.049923650793943508, 0.049907509266037479, 0.049892465451810794, 0.04987849450605629, 0.049865573873010362, 0.049853683200195086, 0.049842804238871267, 0.049832920736125462, 0.049824018322894008, 0.049816084401599563, 0.049809108036525059, 0.049803079849572628, 0.049797991923632309, 0.049793837715421577, 0.049790611979326833, 0.049788310703489616, 0.049786931059119729, 0.04978647136377392], [0.05029498754993305, 0.050296000993839449, 0.050299041326492336, 0.050304108579348167, 0.050311202900489835, 0.050320324698602863, 0.050331474845569747, 0.05034465493882033, 0.050359867625048023, 0.050377116987501559, 0.050396408999817906, 0.050417752050302869, 0.050441157541753198, 0.050466640573395803, 0.050494220713359322, 0.050523922872382623, 0.05055577829231258, 0.05058982566648134, 0.050626112413461134, 0.050664696131217261, 0.050705646265605399, 0.050749046035919246, 0.050794994671309615, 0.050843610026130422, 0.050895031660592102, 0.050949424496903435, 0.051006983192243817, 0.051067937411049251, 0.051132558233937218, 0.051201166014393333, 0.051274140094677248, 0.051351930930335001, 0.051435075364492697, 0.051524216063166775, 0.051620126508175476, 0.051723743502089865, 0.051836209959893756, 0.051958931988640093, 0.052093656124907572, 0.052242575504333602, 0.052408478353999741, 0.052594959719149376, 0.052806729928250584, 0.053050075042588428, 0.05333356339890756, 0.053669164605228477, 0.054074087882223829, 0.05457393467872531, 0.055208388307774116, 0.056042135972977108, 0.057187495183477106, 0.058856040725888271, 0.061492318829657389, 0.066186130389219874, 0.076316016637085898, 0.10750491651280684, 0.29835405124915992, 0.15851581532079675, 0.063128423108392021, 0.051635573308900527, 0.049116918262493349, 0.04848527984221631, 0.048396810852528949, 0.048487399591910813, 0.048636592018874186, 0.048799663646573219, 0.048959038889510781, 0.049107824485294681, 0.04924357589294244, 0.049365748036597955, 0.049474599108203489, 0.049570708041145689, 0.049654764338845567, 0.049727482485290499, 0.049789573546576003, 0.049841741860614311, 0.049884690994799745, 0.04991913105994842, 0.049945783549438391, 0.049965382133182204, 0.049978669174872876, 0.049986388556200412, 0.049989275858886885, 0.049988047158450205, 0.04998338767750693, 0.04997594138336222, 0.049966302350594842, 0.049955008400613572, 0.049942537226519444, 0.049929304950370998, 0.049915666863119851, 0.049901919972248347, 0.049888306923910664, 0.049875020863028238, 0.049862210830833295, 0.049849987359334554, 0.049838427992811324, 0.04982758253766742, 0.049817477907105244, 0.049808122482403336, 0.049799509956682829, 0.049791622660125032, 0.049784434388794312, 0.049777912774147448, 0.049772021238706499, 0.049766720586865737, 0.049761970279831695, 0.049757729441404254, 0.04975395763762009, 0.049750615468856285, 0.049747665008321312, 0.04974507011625405, 0.049742796654822133, 0.049740812624762702, 0.049739088241301833, 0.04973759596382913, 0.049736310491178569, 0.049735208732139172, 0.049734269758953238, 0.049733474750010859, 0.049732806926672812, 0.049732251488112542, 0.049731795547224379, 0.049731428069961787, 0.049731139819926648, 0.049730923309594291, 0.049730772759212991, 0.049730684064141224, 0.049730654771163028, 0.049730657537976009, 0.049730665839734109, 0.049730679680368629, 0.049730699066344558, 0.049730724006529538, 0.049730754512008597, 0.049730790595843802, 0.049730832272776984, 0.049730879558872731, 0.049730932471099956, 0.049730991026848033, 0.04973105524337388, 0.049731125137176806, 0.049731200723294247, 0.049731282014515751, 0.049731369020506198, 0.049731461746833912, 0.049731560193894186, 0.049731664355720948, 0.049731774218676514, 0.049731889760008446, 0.049732010946263519, 0.049732137731543551, 0.049732270055590666, 0.04973240784168502, 0.04973255099433771, 0.049732699396759346, 0.049732852908082319, 0.049733011360313578, 0.049733174554990184, 0.049733342259509081, 0.049733514203097968, 0.049733690072390979, 0.049733869506568773, 0.04973405209201822, 0.049734237356461937, 0.049734424762502047, 0.049734613700516503, 0.049734803480838446, 0.049734993325143133, 0.049735182356955364, 0.049735369591182285, 0.049735553922564534, 0.049735734112925492, 0.049735908777084982, 0.049736076367286525, 0.049736235155969345, 0.049736383216695754, 0.049736518403020027, 0.049736638325058979, 0.049736740323493712, 0.049736821440696743, 0.049736878388639945, 0.049736907513192513, 0.049736904754368379, 0.049736865602020786, 0.049736785046416807, 0.049736657523044604, 0.049736476850918233, 0.049736236163541538, 0.049735927831574343, 0.049735543376107728, 0.049735073371296026, 0.049734507334912227, 0.049733833605180661, 0.049733039201995198, 0.049732109670348086, 0.049731028903462052, 0.049729778942736988, 0.049728339751174952, 0.049726688956434277, 0.049724801559063489, 0.049722649600779149, 0.049720201786861234, 0.049717423055836547, 0.049714274088608033, 0.04971071074805828, 0.04970668343893838, 0.049702136376588872, 0.049697006751821822, 0.049691223778292118, 0.049684707608206549, 0.049677368102780076, 0.049669103446348339, 0.04965979859900279, 0.049649323594618475, 0.049637531713611141, 0.049624257600288789, 0.049609315466447944, 0.049592497649123893, 0.049573574012620442, 0.049552293078554105, 0.049528386472792854, 0.04950157956137019, 0.049471613529692836, 0.049438288691025373, 0.049401547685614222, 0.049361635224846157, 0.049319409029901146, 0.049276960814747535, 0.049238903808703154, 0.049215180538177, 0.049227606049044817, 0.049326505034807268, 0.049638239090834327, 0.050524663575170853, 0.053259110351141392, 0.064156127967822094, 0.13671418793168696, 0.19793458511611994, 0.092434923401774199, 0.070167806540468461, 0.062626505627007778, 0.059127015482055026, 0.0571864134601918, 0.055983989554549266, 0.05518170995022937, 0.054618155005450572, 0.054207651652371742, 0.053901006627317401, 0.053668227009826867, 0.053490168171852946, 0.053354188000765815, 0.053251749741365637, 0.053177038574264403, 0.053126137777436661, 0.053096531988479939, 0.053086814345910352, 0.053096531988479932, 0.053126137777436667, 0.053177038574264389, 0.053251749741365637, 0.053354188000765843, 0.053490168171852724, 0.053668227009827145, 0.053901006627317512, 0.054207651652371874, 0.054618155005451474, 0.055181709950229606, 0.055983989554549654, 0.05718641346019112, 0.059127015482054845, 0.062626505627005918, 0.070167806540470085, 0.092434923401762181, 0.1979345851160072, 0.13671418793152312, 0.064156127967802623, 0.053259110351141496, 0.050524663575170471, 0.049638239090833973, 0.049326505034807275, 0.049227606049044831, 0.049215180538176979, 0.049238903808703188, 0.049276960814747528, 0.049319409029901125, 0.049361635224846247, 0.04940154768561425, 0.049438288691025366, 0.049471613529692871, 0.049501579561370253, 0.049528386472792854, 0.049552293078554056, 0.049573574012620407, 0.049592497649123893, 0.049609315466447937, 0.049624257600288817, 0.049637531713611169, 0.049649323594618447, 0.049659798599002845, 0.049669103446348346, 0.049677368102780027, 0.049684707608206542, 0.049691223778292125, 0.049697006751821836, 0.049702136376588851, 0.049706683438938387, 0.049710710748058301, 0.049714274088607985, 0.049717423055836527, 0.049720201786861241, 0.049722649600779156, 0.049724801559063461, 0.049726688956434305, 0.049728339751174952, 0.049729778942736932, 0.049731028903462017, 0.049732109670348031, 0.049733039201995184, 0.049733833605180654, 0.049734507334912255, 0.04973507337129604, 0.049735543376107749, 0.049735927831574336, 0.049736236163541524, 0.049736476850918206, 0.049736657523044639, 0.049736785046416807, 0.049736865602020744, 0.049736904754368379, 0.049736907513192555, 0.049736878388639987, 0.049736821440696757, 0.049736740323493706, 0.049736638325058972, 0.04973651840302, 0.049736383216695768, 0.049736235155969387, 0.049736076367286497, 0.049735908777084961, 0.049735734112925485, 0.049735553922564547, 0.04973536959118232, 0.049735182356955371, 0.049734993325143112, 0.049734803480838419, 0.049734613700516503, 0.049734424762502047, 0.049734237356461937, 0.049734052092018192, 0.04973386950656878, 0.049733690072391007, 0.049733514203097996, 0.049733342259509032, 0.049733174554990177, 0.04973301136031355, 0.049732852908082319, 0.049732699396759353, 0.049732550994337738, 0.049732407841684985, 0.049732270055590652, 0.049732137731543516, 0.049732010946263491, 0.049731889760008474, 0.049731774218676486, 0.049731664355720989, 0.049731560193894228, 0.049731461746833919, 0.049731369020506185, 0.049731282014515751, 0.049731200723294303, 0.049731125137176778, 0.049731055243373887, 0.049730991026848026, 0.04973093247109997, 0.049730879558872731, 0.049730832272776963, 0.049730790595843809, 0.04973075451200859, 0.049730724006529524, 0.049730699066344565, 0.049730679680368643, 0.049730665839734137, 0.049730657537976022, 0.049730654771162973, 0.049730656154811287, 0.049730660309319101, 0.04973066724537669, 0.049730676980805487, 0.049730689540564907, 0.04973070495676201, 0.049730723268662999, 0.049730744522708259, 0.049730768772529577, 0.049730796078969686, 0.049730826510104846, 0.049730860141269199, 0.04973089705508231, 0.049730937341478057, 0.049730981097736583, 0.049731028428517836, 0.04973107944589749, 0.049731134269404426, 0.049731193026060445, 0.049731255850420993, 0.049731322884618234, 0.049731394278404721, 0.049731470189198462, 0.049731550782129166, 0.049731636230084905, 0.049731726713759493, 0.049731822421699871, 0.049731923550353815, 0.04973203030411693, 0.049732142895379021, 0.049732261544569695, 0.049732386480202159, 0.049732517938915366, 0.049732656165513464, 0.049732801413003021, 0.049732953942626099, 0.049733114023889892, 0.049733281934591089, 0.049733457960835524, 0.049733642397051275, 0.049733835545994566, 0.049734037718748465, 0.049734249234711946, 0.049734470421579628, 0.049734701615310017, 0.049734943160081674, 0.049735195408235774, 0.049735458720203414, 0.049735733464416301, 0.049736020017199054, 0.049736318762641576, 0.049736630092448955, 0.049736954405767184, 0.049737292108982381, 0.049737643615490927, 0.049738009345437699, 0.0497383897254201, 0.049738785188153709, 0.04973919617209753, 0.049739623121034152, 0.049740066483601554, 0.049740526712772071, 0.049741004265274127, 0.049741499600952158, 0.049742013182059015, 0.04974254547247578, 0.049743096936852783, 0.049743668039665553, 0.049744259244178503, 0.049744871011309602, 0.049745503798387637, 0.049746158057793692, 0.049746834235478231, 0.049747532769344044, 0.049748254087484421, 0.049748998606266137, 0.049749766728245576, 0.049750558839905527, 0.049751375309199396, 0.049752216482889459, 0.04975308268366415, 0.049753974207018929, 0.049754891317883999, 0.049755834246982912, 0.049756803186902274, 0.049757798287855121, 0.049758819653117285, 0.049759867334117053, 0.049760941325155621, 0.049762041557737974, 0.049763167894489993, 0.049764320122639621, 0.049765497947038703, 0.049766700982700529, 0.049767928746831606, 0.049769180650331174, 0.049770455988738679, 0.049771753932604648, 0.049773073517264767, 0.049774413631999026, 0.049775773008557025, 0.049777150209037536, 0.049778543613109801, 0.049779951404572198, 0.0497813715572459, 0.049782801820209562, 0.04978423970238835, 0.049785682456517252, 0.049787127062511066, 0.049788570210283149, 0.049790008282069725, 0.049791437334328496, 0.04979285307930062, 0.049794250866339568, 0.049795625663134994, 0.049796972036977534, 0.049798284136239115, 0.049799555672266571, 0.049800779901916253, 0.049801949610985587, 0.049803057098829859, 0.049804094164483538, 0.049805052094637439, 0.049805921653856375, 0.049806693077451142, 0.049807356067449918, 0.049807899792137685, 0.049808312889656509, 0.049808647056106242, 0.049807348429460607, 0.049804035515901027, 0.049798303775900429, 0.049789742573050438, 0.049777957653375504, 0.04976259798002608, 0.049743384485634382, 0.049720137115212601, 0.049692795799586936, 0.049661431092703379, 0.049626241317032152, 0.049587535068668712, 0.049545700386077127, 0.049501164134345792, 0.049454346587220664, 0.049405616451919675, 0.049355250703540715, 0.049303401938381661, 0.049250074054507063, 0.049195105443884855, 0.049138157913456951, 0.049078709477246782, 0.049016050196662185, 0.048949282872044052, 0.048877335873225312, 0.048799006916978888, 0.048713081965813886, 0.048618632333053427, 0.048515737895888103, 0.04840726457625269, 0.048303407138305166, 0.048234127542174654, 0.048286976589709825, 0.048741455067332809, 0.050674991906635332, 0.060046057025954544, 0.14763174772753526, 0.28605227516666515, 0.10152121185702166, 0.07434369314940345, 0.065636687038447758, 0.061664820418487795, 0.059491935730912403, 0.058169955501197079, 0.057310358879512337, 0.056726886073853067, 0.056319579554005725, 0.056029938617792555, 0.055821238883974132, 0.055669034985527582, 0.055556231430657223, 0.055470377280284061, 0.055402116665805808, 0.055344271637527233, 0.055291283850660247, 0.055238864011806187, 0.055183761678689214, 0.055123603222929703, 0.055056766527961529, 0.05498227398777647, 0.054899693853344617, 0.054809045559744154, 0.054710708207838264, 0.0546053333837647, 0.054493764360750464, 0.054376963774840928, 0.054255951401026827, 0.054131752938951158, 0.054005359951131475, 0.05387770042014467, 0.053749618880927226, 0.053621864765105429, 0.053495087454312293, 0.053369836545697755, 0.053246565943820552, 0.053125640568121774, 0.053007344669721589, 0.052891890959294766, 0.052779429941779664, 0.052670059023610633, 0.05256383109969387, 0.052460762440158314, 0.052360839783186855, 0.052264026603462535, 0.052170268569937221, 0.052079498235652465, 0.051991639019782404, 0.051906608550937081, 0.051824321443554512, 0.051744691577870837, 0.05166763394996645, 0.051593066152871576, 0.051520909543433406, 0.051451090143172083, 0.051383539315032353, 0.051318194251995075, 0.05125499830809005, 0.051193901197492932, 0.051134859083118565, 0.051077834572427434, 0.051022796635002622, 0.050969720453796677, 0.050918587219742822, 0.050869383877631388, 0.050822102829715221, 0.050776741602403419, 0.050733302480574248, 0.050691792113459422, 0.05065222109568799, 0.050614603526899657, 0.050578956553303259, 0.050545299894654248, 0.050513655360314776, 0.050484046358315257, 0.050456497401633743, 0.050431033616219138, 0.05040768025557596, 0.050386462226991779, 0.050367403634674165, 0.05035052734518243, 0.050335854580548109, 0.050323404544375679, 0.050313194085995418, 0.050305237407383407, 0.050299545817098314, 0.050296127534889094, 0.05029498754993305, 0.050295747550283564, 0.050298026559106514, 0.050301821606356913, 0.050307127763988713, 0.050313938178644373, 0.050322244116711851, 0.050332035021051345, 0.050343298578501602, 0.050356020797095329, 0.050370186091740043, 0.050385777376953336, 0.050402776165088189, 0.050421162668335795, 0.050440915902653823, 0.050462013791638789, 0.050484433268229538, 0.050508150372014241, 0.050533140339784108, 0.050559377686860738, 0.050586836276597533, 0.05061548937532321, 0.050645309689859933, 0.050676269384594498, 0.050708340074926618, 0.050741492793741551, 0.050775697927370647, 0.050810925117311959, 0.050847143123784279, 0.050884319646990014, 0.050922421101780441, 0.050961412341257076, 0.051001256324732493, 0.051041913725434797, 0.05108334247340008, 0.051125497229212002, 0.051168328784652377, 0.051211783386990457, 0.051255801984641032, 0.051300319393334015, 0.051345263383874386, 0.051390553695126101, 0.051436100979149274, 0.051481805689568033, 0.051527556929353437, 0.05157323128035915, 0.051618691644191604, 0.051663786132312955, 0.051708347052560735, 0.051752190049284372, 0.051795113464652973, 0.05183689799878647, 0.051877306755374046, 0.051916085766298727, 0.05195296509216029, 0.051987660593957201, 0.052019876462911542, 0.052049308578888537, 0.052075648741708253, 0.052098589783025687, 0.052117831519347894, 0.052133087450295164, 0.05214409204294998, 0.05215060837717557, 0.052152435863724339, 0.052149417693559491, 0.052141447640366184, 0.052128475825645011, 0.052110513072488505, 0.052087633523001789, 0.052059975274721171, 0.052027738898750474, 0.051991183828295151, 0.051950622739484822, 0.051906414173872879, 0.051858953761038599, 0.051808664479569562, 0.051755986438185811, 0.051701366663186567, 0.051645249345695254, 0.051588066938348151, 0.051530232404997448, 0.05147213282896506, 0.051414124485553006, 0.051356529391718718, 0.051299633266653114, 0.051243684775505866, 0.051188895886204289, 0.051135443145599854, 0.051083469673873692, 0.051033087682111747, 0.050984381333718423, 0.050937409792433927, 0.050892210325119473, 0.050848801353692713, 0.05080718537577953, 0.05076735169654966, 0.050729278934099703, 0.05069293727732304, 0.050658290488490298, 0.050625297652957743, 0.050593914685884998, 0.050564095610982122, 0.050535793629534941, 0.050508961999681107, 0.050483554746479156, 0.050459527223042401, 0.050436836542150761, 0.050415441896511926, 0.050395304784382464, 0.050376389155693466, 0.050358661492248886, 0.05034209083403151, 0.050326648762207174, 0.050312309348083541, 0.05029904907606586, 0.05028684674756561, 0.050275683371850607, 0.050265542048975931, 0.050256407849189201, 0.050248267692554784, 0.050241110231974931, 0.050234925742295752, 0.050229706017753908, 0.050225444279647605, 0.050222135095781412, 0.050219774312939752, 0.050218359003381681, 0.050217887426101789], [0.05066870853972881, 0.050669747256686361, 0.050672863438864076, 0.050678057210098555, 0.050685328876674159, 0.050694679077702205, 0.050706108996784925, 0.050719620636215365, 0.050735217155478365, 0.050752903276469648, 0.050772685758669958, 0.050794573948527287, 0.050818580408585438, 0.050844721633496327, 0.050873018862042221, 0.050903498996768132, 0.050936195645906068, 0.050971150306103816, 0.051008413709252048, 0.051048047362701139, 0.051090125319694722, 0.051134736226394528, 0.051181985704011577, 0.051231999140137444, 0.051284924983470939, 0.051340938662304825, 0.051400247281484443, 0.05146309529801793, 0.051529771436294093, 0.051600617185889069, 0.051676037336812128, 0.051756513161339099, 0.0518426190668985, 0.051935043848827432, 0.052034618107893706, 0.052142350031595577, 0.052259472675142693, 0.052387507286520717, 0.052528349378052994, 0.052684387622725509, 0.05285867105705172, 0.053055148943917975, 0.053279022633233586, 0.053537274884519877, 0.053839489334787723, 0.054199161702950319, 0.054635879800066407, 0.055179115277736113, 0.055875183825822024, 0.056800886589320837, 0.058092515532441796, 0.060014300720491479, 0.063143913849584496, 0.068982712689958745, 0.082646614369485921, 0.13227857929698739, 0.42033401965035105, 0.10523519458561092, 0.058101676886493897, 0.050897128445679403, 0.049184457682509126, 0.048772901158288202, 0.048757308386446936, 0.048874376691884679, 0.049033289638292316, 0.049199531138628759, 0.049359429882223201, 0.049507687500967512, 0.049642531387077742, 0.049763696225989647, 0.049871546838356935, 0.049966691438158434, 0.050049815263086522, 0.05012161569346768, 0.050182783846774291, 0.050234006085335778, 0.050275972183233042, 0.050309383464474951, 0.050334957685532589, 0.050353429408524622, 0.050365545818231466, 0.050372058691344805, 0.050373713664365896, 0.050371238131326282, 0.050365329079973181, 0.050356641994552621, 0.050345781671119305, 0.050333295465317889, 0.050319669174344842, 0.050305325482828525, 0.050290624699075054, 0.050275867380404481, 0.050261298388762553, 0.050247111917319578, 0.050233457068882062, 0.050220443631378064, 0.050208147770558792, 0.05019661743497264, 0.050185877336366702, 0.050175933426219808, 0.050166776834766627, 0.050158387272938434, 0.050150735921388634, 0.050143787845927698, 0.050137503987097674, 0.050131842774980735, 0.050126761420156686, 0.05012221692919102, 0.05011816688909837, 0.050114570060566771, 0.050111386814840321, 0.050108579444364372, 0.050106112372804171, 0.050103952285966508, 0.050102068201534761, 0.050100431492378202, 0.050099015875499947, 0.050097797376401638, 0.050096754276735614, 0.050095867051530081, 0.050095118300971554, 0.050094492680668498, 0.050093976833461687, 0.050093559325154677, 0.050093230585987795, 0.050092982859238591, 0.050092810157983454, 0.05009270823077891, 0.050092674536798221, 0.050092677991498136, 0.050092688357738405, 0.050092705641916181, 0.050092729854611356, 0.050092761010463602, 0.050092799127997988, 0.0500928442293994, 0.050092896340232548, 0.05009295548910634, 0.050093021707279861, 0.05009309502820658, 0.05009317548701351, 0.050093263119911413, 0.050093357963530233, 0.050093460054176947, 0.050093569427006809, 0.05009368611510405, 0.050093810148462904, 0.050093941552861766, 0.050094080348620618, 0.050094226549231402, 0.05009438015985139, 0.050094541175644859, 0.050094709579960879, 0.050094885342330919, 0.050095068416269484, 0.050095258736858592, 0.050095456218095011, 0.050095660749977781, 0.050095872195308554, 0.050096090386178009, 0.050096315120104935, 0.050096546155793821, 0.050096783208470996, 0.050097025944756041, 0.050097273977020206, 0.050097526857177554, 0.050097784069849112, 0.050098045024832602, 0.050098309048803955, 0.050098575376166743, 0.050098843138956593, 0.050099111355696828, 0.050099378919088916, 0.050099644582407718, 0.050099906944455125, 0.050100164432908614, 0.050100415285881182, 0.050100657531484988, 0.050100888965166943, 0.050101107124554116, 0.050101309261512773, 0.050101492311088389, 0.050101652856948412, 0.050101787092902236, 0.050101890780013696, 0.050101959198758581, 0.050101987095603373, 0.050101968623296786, 0.05010189727406713, 0.050101765804805326, 0.050101566153182495, 0.050101289343500166, 0.050100925380897658, 0.050100463132339207, 0.05009989019256883, 0.050099192732952942, 0.050098355330813173, 0.05009736077649167, 0.050096189854964862, 0.050094821098335712, 0.050093230504965537, 0.050091391220353533, 0.050089273174122081, 0.050086842666605208, 0.050084061897569032, 0.050080888428508594, 0.05007727456878186, 0.050073166674594827, 0.05006850434861021, 0.05006321952685415, 0.050057235438887043, 0.050050465427305221, 0.050042811614280633, 0.050034163407258359, 0.050024395845212739, 0.050013367804574591, 0.050000920116185489, 0.049986873701937301, 0.049971027940508769, 0.049953159648410836, 0.04993302337410474, 0.049910354257178879, 0.049884875704199, 0.049856315968812362, 0.049824441171998635, 0.049789118951749985, 0.049750440185800979, 0.049708953650859589, 0.049666127792991052, 0.049625289052725376, 0.049593614880737602, 0.049586622107534485, 0.049639080039346306, 0.049834373593817816, 0.050395140972009894, 0.052023063213021151, 0.057606183204957723, 0.085882965986650003, 0.2506074535073578, 0.12382039940405311, 0.078454747379136519, 0.066201970324707593, 0.061181540922689334, 0.058593386535795426, 0.057063231720604735, 0.056074669068265595, 0.055396183706523515, 0.05491041434028382, 0.054552275613407433, 0.054283145799747107, 0.054078896711332591, 0.053923867370493136, 0.053807627410254147, 0.053723149434171232, 0.053665739708948085, 0.053632402396806673, 0.053621468664023515, 0.053632402396806639, 0.053665739708948099, 0.053723149434171218, 0.053807627410254161, 0.053923867370493178, 0.054078896711332342, 0.05428314579974744, 0.054552275613407572, 0.054910414340283951, 0.055396183706524577, 0.056074669068265894, 0.05706323172060522, 0.058593386535794649, 0.061181540922689043, 0.066201970324704776, 0.078454747379139281, 0.12382039940402348, 0.25060745350742614, 0.085882965986589954, 0.05760618320494864, 0.052023063213021123, 0.050395140972009658, 0.049834373593817573, 0.049639080039346341, 0.049586622107534485, 0.049593614880737588, 0.049625289052725396, 0.049666127792991059, 0.049708953650859561, 0.049750440185801034, 0.049789118951750012, 0.049824441171998635, 0.04985631596881239, 0.049884875704199076, 0.049910354257178872, 0.049933023374104685, 0.049953159648410822, 0.049971027940508797, 0.049986873701937287, 0.050000920116185517, 0.050013367804574604, 0.050024395845212698, 0.050034163407258386, 0.050042811614280654, 0.05005046542730518, 0.050057235438887022, 0.05006321952685415, 0.050068504348610217, 0.050073166674594827, 0.050077274568781874, 0.050080888428508601, 0.050084061897568984, 0.050086842666605173, 0.050089273174122095, 0.050091391220353526, 0.050093230504965516, 0.050094821098335726, 0.050096189854964848, 0.050097360776491628, 0.050098355330813152, 0.050099192732952887, 0.05009989019256883, 0.0501004631323392, 0.050100925380897693, 0.050101289343500159, 0.050101566153182522, 0.050101765804805319, 0.050101897274067116, 0.050101968623296751, 0.050101987095603408, 0.050101959198758574, 0.050101890780013654, 0.050101787092902209, 0.050101652856948432, 0.050101492311088416, 0.05010130926151278, 0.050101107124554109, 0.050100888965166956, 0.050100657531484939, 0.050100415285881182, 0.050100164432908663, 0.050099906944455111, 0.050099644582407711, 0.050099378919088923, 0.050099111355696828, 0.0500988431389566, 0.050098575376166764, 0.050098309048803927, 0.050098045024832567, 0.050097784069849119, 0.050097526857177561, 0.050097273977020212, 0.05009702594475602, 0.05009678320847101, 0.050096546155793842, 0.050096315120104963, 0.050096090386177967, 0.050095872195308561, 0.05009566074997774, 0.050095456218095032, 0.050095258736858606, 0.050095068416269491, 0.050094885342330892, 0.050094709579960858, 0.050094541175644838, 0.050094380159851362, 0.050094226549231451, 0.050094080348620597, 0.050093941552861808, 0.050093810148462925, 0.050093686115104043, 0.050093569427006782, 0.050093460054176947, 0.050093357963530281, 0.050093263119911378, 0.050093175487013544, 0.050093095028206594, 0.050093021707279847, 0.050092955489106354, 0.050092896340232534, 0.050092844229399414, 0.050092799127997995, 0.050092761010463553, 0.050092729854611377, 0.050092705641916216, 0.050092688357738439, 0.05009267799149815, 0.050092674536798165, 0.050092676264366233, 0.050092681450759395, 0.05009269010704618, 0.050092702251678528, 0.050092717910498713, 0.050092737116749005, 0.050092759911083549, 0.050092786341583352, 0.050092816463773893, 0.050092850340644826, 0.050092888042672826, 0.050092929647846278, 0.050092975241693087, 0.050093024917309881, 0.050093078775394345, 0.050093136924278962, 0.05009319947996748, 0.050093266566172481, 0.050093338314355598, 0.050093414863768317, 0.050093496361495592, 0.050093582962499425, 0.050093674829664349, 0.050093772133843639, 0.050093875053906139, 0.050093983776783549, 0.050094098497517628, 0.050094219419307882, 0.050094346753557978, 0.050094480719921806, 0.050094621546348417, 0.050094769469124993, 0.050094924732918031, 0.050095087590811646, 0.050095258304343381, 0.050095437143535558, 0.050095624386922985, 0.050095820321575224, 0.050096025243113448, 0.050096239455720802, 0.050096463272144835, 0.050096697013692577, 0.050096941010215321, 0.050097195600083681, 0.050097461130150539, 0.05009773795570141, 0.050098026440390582, 0.05009832695616119, 0.050098639883148076, 0.050098965609561417, 0.0500993045315496, 0.050099657053038607, 0.05010002358554657, 0.050100404547970268, 0.050100800366341965, 0.050101211473552745, 0.050101638309040651, 0.050102081318438865, 0.050102540953182277, 0.050103017670067196, 0.050103511930761263, 0.050104024201258653, 0.050104554951276317, 0.050105104653586391, 0.050105673783279014, 0.050106262816950554, 0.050106872231810387, 0.050107502504700627, 0.050108154111020591, 0.050108827523550052, 0.050109523211161772, 0.050110241637415766, 0.050110983259025847, 0.05011174852418887, 0.050112537870765882, 0.050113351724304735, 0.050114190495892205, 0.05011505457982296, 0.050115944351072549, 0.050116860162560062, 0.050117802342186414, 0.050118771189631747, 0.050119766972896031, 0.050120789924566381, 0.050121840237791315, 0.050122918061945104, 0.050124023497961037, 0.050125156593314318, 0.050126317336632392, 0.050127505651912499, 0.050128721392322523, 0.050129964333563634, 0.050131234166771524, 0.050132530490932414, 0.050133852804792343, 0.050135200498234701, 0.050136572843107255, 0.050137968983474591, 0.05013938792527791, 0.050140828525384824, 0.050142289480012446, 0.050143769312513305, 0.050145266360513814, 0.050146778762403338, 0.050148304443173593, 0.050149841099617634, 0.05015138618490414, 0.050152936892550744, 0.050154490139831406, 0.050156042550664331, 0.050157590438040252, 0.050159129786064023, 0.05016065623170253, 0.050162165046346442, 0.050163651117317645, 0.050165108929472423, 0.050166532547078306, 0.050167915596165971, 0.050169251247586061, 0.050170532201029919, 0.05017175067030321, 0.050172898370172365, 0.050173966505134664, 0.050174945760494215, 0.05017582629615433, 0.050176597743566045, 0.050177249206293961, 0.050177769264683023, 0.050178419199692029, 0.050177428161960316, 0.050174414861659085, 0.050168976168967802, 0.050160704175678368, 0.050149208644546917, 0.050134143647123833, 0.050115235966991661, 0.050092311704602877, 0.050065316830336305, 0.050034327545572674, 0.049999547406208239, 0.049961290118271634, 0.049919949294382669, 0.049875958636880678, 0.049829747398410604, 0.049781696227044113, 0.049732097656727058, 0.049681123902174829, 0.049628802772929095, 0.04957500092988569, 0.049519412727290671, 0.049461552725557356, 0.04940075080299159, 0.049336151021272652, 0.049266720040966265, 0.049191280533079682, 0.049108606030356071, 0.049017661801627067, 0.048918192916960049, 0.04881216126952112, 0.048707370005963362, 0.048627179243505618, 0.04863913621976005, 0.048952059348902649, 0.05032316352565195, 0.056472362841989379, 0.10156739934581749, 0.42205464194010828, 0.12042966744197441, 0.079353798165313669, 0.067992576046603345, 0.06315418817828862, 0.060607924135117279, 0.059096664849514952, 0.05813089380015124, 0.057483953666185111, 0.057037248825506016, 0.056722694952766099, 0.05649818854210762, 0.056336031766678202, 0.056217031067073875, 0.056127305198459938, 0.056056479679842931, 0.055996629938317069, 0.055941644620797017, 0.055886829673003666, 0.055828650371255013, 0.055764550424420793, 0.055692811802909671, 0.055612434234676218, 0.055523023244420294, 0.055424682117673055, 0.055317907244755979, 0.055203488548565452, 0.055082417586939839, 0.05495580585415849, 0.054824815157835813, 0.054690601033612139, 0.054554269223277052, 0.054416844442400511, 0.054279250083497398, 0.054142297159954708, 0.05400668067146841, 0.053872981617488588, 0.053741673047722406, 0.053613128767999889, 0.053487633574899954, 0.053365394143799094, 0.053246549923524331, 0.053131183586570374, 0.053019330743477339, 0.052910988754488394, 0.052806124564633655, 0.052704681554732333, 0.052606585445587134, 0.052511749320658822, 0.052420077847997716, 0.052331470788665374, 0.052245825879120369, 0.052163041171226068, 0.052083016907264967, 0.052005656999798214, 0.051930870178173383, 0.051858570855522423, 0.05178867976253318, 0.051721124387322855, 0.05165583925449637, 0.051592766070958043, 0.051531853761253826, 0.051473058411119356, 0.051416343134434037, 0.051361677875884346, 0.051309039159252341, 0.051258409789319836, 0.051209778513846213, 0.051163139650907408, 0.051118492686013629, 0.051075841842821344, 0.051035195630881741, 0.050996566373691252, 0.05095996972028656, 0.050925424143741418, 0.050892950430133622, 0.050862571161830503, 0.050834310199264904, 0.050808192165709642, 0.050784241939876518, 0.050762484161453313, 0.050742942754900044, 0.050725640476962056, 0.050710598493380506, 0.050697835990188643, 0.050687369824766619, 0.050679214221470884, 0.050673380516183288, 0.050669876953519703, 0.05066870853972881, 0.050669487492201751, 0.050671823348085836, 0.050675713109663005, 0.050681151803580626, 0.050688132514753181, 0.05069664643309494, 0.05070668291236493, 0.050718229540207181, 0.050731272218283517, 0.050745795251217307, 0.050761781442894269, 0.050779212198507825, 0.050798067630583012, 0.050818326667069376, 0.050839967159456823, 0.050862965988733508, 0.050887299166882588, 0.050912941931479286, 0.050939868830826462, 0.05096805379693084, 0.050997470203479896, 0.051028090905832602, 0.051059888259868444, 0.051092834116369321, 0.051126899787412798, 0.051162055981050045, 0.051198272700326009, 0.051235519102471136, 0.051273763313865468, 0.051312972196159351, 0.051353111058735926, 0.051394143312552001, 0.051436030060312027, 0.051478729617949408, 0.051522196962566574, 0.051566383102356436, 0.051611234364671021, 0.051656691599397335, 0.051702689296231702, 0.051749154616426263, 0.051796006342228931, 0.051843153750678814, 0.051890495422784164, 0.05193791800451808, 0.051985294942625243, 0.052032485225998237, 0.052079332172351785, 0.052125662309998995, 0.052171284415476617, 0.052215988779166493, 0.05225954678228846, 0.052301710878804933, 0.052342215083721305, 0.052380776073534377, 0.052417095003501543, 0.052450860138143651, 0.052481750374147977, 0.052509439707042797, 0.052533602653667376, 0.052553920591463028, 0.052570088914124964, 0.052581824833938098, 0.052588875588650219, 0.052591026741196985, 0.052588110201472901, 0.052580011558765349, 0.052566676299138179, 0.052548114500047045, 0.052524403647986627, 0.052495689313311215, 0.052462183534422835, 0.052424160901902661, 0.052381952479196338, 0.052335937835722192, 0.052286535586634417, 0.052234192919171384, 0.052179374630814131, 0.052122552206682174, 0.05206419342518203, 0.052004752908841136, 0.051944663941547058, 0.051884331765535238, 0.051824128462621556, 0.05176438942393348, 0.051705411327787998, 0.051647451480548355, 0.051590728331646206, 0.051535422950541476, 0.051481681247620065, 0.051429616729337387, 0.051379313596405705, 0.051330830018729262, 0.051284201448842784, 0.051239443864168267, 0.05119655685553702, 0.051155526503864304, 0.051116328007899836, 0.051078928043347516, 0.051043286847428697, 0.051009360033421006, 0.05097710014725642, 0.050946457983358971, 0.050917383680007436, 0.050889827616054761, 0.050863741131202712, 0.050839077091550354, 0.05081579032107051, 0.050793837918235558, 0.050773179475378911, 0.050753777216659274, 0.050735596068784979, 0.050718603677009214, 0.050702770377367153, 0.050688069134712924, 0.050674475454835624, 0.050661967277794803, 0.050650524858606688, 0.050640130640529524, 0.050630769125424968, 0.050622426745002565, 0.050615091736172721, 0.050608754023231201, 0.050603405109156695, 0.050599037977924831, 0.050595647009401723, 0.050593227908082558, 0.050591777646674795, 0.05059129442527608], [0.050991098433666747, 0.050992162094725138, 0.050995353141804041, 0.051000671797838834, 0.051008118538636855, 0.051017694249849296, 0.05102940044797815, 0.051043239566790681, 0.051059215311073859, 0.05107733308036827, 0.051097600466207788, 0.051120027827491615, 0.051144628950001242, 0.051171421797802839, 0.051200429366422544, 0.051231680650355674, 0.051265211740802924, 0.05130106707367417, 0.051339300853084045, 0.051379978682075583, 0.051423179440504639, 0.051468997460422113, 0.051517545062548756, 0.051568955534483554, 0.051623386653335386, 0.051681024884238279, 0.051742090424067771, 0.051806843309926194, 0.051875590879320699, 0.051948696960138485, 0.05202659329327497, 0.052109793863424098, 0.052198913055350987, 0.052294688896110608, 0.052398013137420839, 0.052509970653658658, 0.052631891701911362, 0.05276542220933346, 0.052912619748100166, 0.053076086786952817, 0.053259159142434447, 0.053466178036496899, 0.053702892034310279, 0.053977066606469379, 0.054299436596906517, 0.05468524665361929, 0.055156844685391899, 0.055748260417654717, 0.056513762324509623, 0.057545004041264822, 0.059008517049608487, 0.06123748220563139, 0.064993203218042625, 0.072390434305992818, 0.091486212966610705, 0.17672822164045965, 0.34994659272025946, 0.080624143575994539, 0.055154284538750743, 0.050465503611376923, 0.049295152772597085, 0.049042011199611463, 0.049080477608140265, 0.049217179648580189, 0.0493829792593619, 0.049551086915385519, 0.049710848697561108, 0.049858210065578237, 0.049991919825342748, 0.050111923568936838, 0.050218659469501083, 0.050312748132497538, 0.050394861557920716, 0.05046567504733037, 0.050525856904056539, 0.050576073818944446, 0.05061700076237606, 0.050649329686823293, 0.050673774304550175, 0.050691069947733487, 0.050701968621523118, 0.050707230070204681, 0.050707610092862371, 0.050703847514966267, 0.050696651184806943, 0.050686688166061485, 0.050674573997181574, 0.050660865544666311, 0.050646056644121487, 0.050630576440130373, 0.050614790126223511, 0.050599001656177291, 0.050583457941275028, 0.050568354050841431, 0.050553838977814951, 0.050540021600233596, 0.050526976548809124, 0.050514749769477757, 0.050503363640948484, 0.050492821567070065, 0.050483112011046744, 0.050474211973570569, 0.050466089941205057, 0.050458708346713482, 0.050452025591411216, 0.050445997682832144, 0.050440579540590391, 0.050435726020525588, 0.050431392703020363, 0.050427536486472656, 0.050424116021794141, 0.050421092018819683, 0.05041842745085387, 0.050416087679363453, 0.050414040517091779, 0.050412256244633288, 0.050410707592735984, 0.050409369700259318, 0.050408220055762121, 0.050407238429077454, 0.050406406797906048, 0.050405709273379062, 0.050405132027671357, 0.050404663226043978, 0.050404292965138597, 0.050404013218903067, 0.050403817793176542, 0.050403702289686304, 0.050403664079986053, 0.050403668244042903, 0.050403680739200991, 0.050403701574400134, 0.050403730764463521, 0.050403768329982911, 0.050403814297156138, 0.05040386869757614, 0.050403931567969767, 0.050404002949884119, 0.050404082889317997, 0.050404171436295615, 0.050404268644379011, 0.050404374570115346, 0.050404489272413838, 0.05040461281184918, 0.050404745249883094, 0.05040488664799999, 0.050405037066747892, 0.050405196564677922, 0.050405365197172383, 0.050405543015151912, 0.050405730063651691, 0.050405926380252743, 0.050406131993356376, 0.050406346920286033, 0.050406571165200267, 0.050406804716798349, 0.050407047545797855, 0.050407299602162468, 0.050407560812054109, 0.050407831074481851, 0.050408110257617079, 0.050408398194740377, 0.050408694679782123, 0.050408999462414519, 0.050409312242648378, 0.050409632664881888, 0.050409960311343593, 0.050410294694864077, 0.05041063525090482, 0.050410981328762934, 0.050411332181861605, 0.050411686957025879, 0.050412044682630774, 0.050412404255495438, 0.050412764426382622, 0.050413123783943865, 0.05041348073693349, 0.050413833494490488, 0.050414180044263658, 0.050414518128127028, 0.05041484521519924, 0.050415158471845342, 0.050415454728296366, 0.050415730441475716, 0.050415981653565395, 0.050416203945784499, 0.050416392386779377, 0.050416541474944052, 0.050416645073895143, 0.050416696340217365, 0.050416687642471411, 0.050416610470311277, 0.050416455332394035, 0.050416211641572256, 0.050415867585636938, 0.050415409981624366, 0.050414824111399519, 0.050414093535887092, 0.050413199884918818, 0.05041212261920474, 0.050410838760399652, 0.050409322584617451, 0.050407545274037166, 0.050405474520429046, 0.050403074073509121, 0.050400303225996666, 0.05039711622611262, 0.050393461607044637, 0.050389281421670436, 0.050384510369686039, 0.05037907480342986, 0.050372891598467244, 0.05036586687600314, 0.050357894567424739, 0.05034885481845075, 0.050338612244366754, 0.05032701407358077, 0.050313888262687644, 0.050299041747035263, 0.050282259132205492, 0.050263302379831405, 0.050241912479419608, 0.050217814881656608, 0.050190731893653473, 0.050160407880868361, 0.050126658150915715, 0.050089462251924302, 0.050049142421879009, 0.050006710228914397, 0.049964558380662681, 0.049927895770336975, 0.049907881942757408, 0.049928952122709654, 0.050047522146803636, 0.050405759260465283, 0.05141366038502887, 0.054531857311742947, 0.06715965418419273, 0.15247736860408401, 0.19429746219715113, 0.093218131056673537, 0.071377765683047517, 0.063797205012194103, 0.060235688259359363, 0.05824745188116448, 0.057011218429157295, 0.056185355407762233, 0.055605648489859341, 0.055184562014414157, 0.05487170867870711, 0.054636353562810838, 0.054458923144856217, 0.054326577332853052, 0.054230768074319272, 0.054165838269501242, 0.054128201376500817, 0.054115868283007629, 0.054128201376500804, 0.054165838269501249, 0.054230768074319244, 0.054326577332853045, 0.054458923144856265, 0.054636353562810588, 0.054871708678707484, 0.055184562014414316, 0.055605648489859529, 0.056185355407763454, 0.05701121842915767, 0.05824745188116514, 0.060235688259358315, 0.063797205012193686, 0.071377765683043368, 0.093218131056678921, 0.19429746219709204, 0.15247736860419339, 0.06715965418416861, 0.054531857311738333, 0.051413660385028863, 0.050405759260465158, 0.050047522146803469, 0.049928952122709674, 0.049907881942757415, 0.049927895770336961, 0.049964558380662723, 0.05000671022891439, 0.050049142421878974, 0.050089462251924372, 0.050126658150915736, 0.050160407880868375, 0.050190731893653494, 0.050217814881656685, 0.050241912479419594, 0.050263302379831357, 0.050282259132205465, 0.050299041747035284, 0.05031388826268765, 0.050327014073580797, 0.050338612244366754, 0.050348854818450729, 0.050357894567424781, 0.050365866876003161, 0.050372891598467209, 0.050379074803429867, 0.05038451036968606, 0.050389281421670443, 0.050393461607044623, 0.050397116226112641, 0.05040030322599668, 0.050403074073509059, 0.050405474520429004, 0.050407545274037166, 0.050409322584617416, 0.050410838760399625, 0.050412122619204761, 0.050413199884918818, 0.050414093535887057, 0.050414824111399477, 0.050415409981624318, 0.050415867585636924, 0.050416211641572235, 0.050416455332394076, 0.050416610470311277, 0.050416687642471439, 0.050416696340217372, 0.050416645073895122, 0.050416541474944024, 0.050416392386779404, 0.050416203945784485, 0.050415981653565367, 0.05041573044147573, 0.050415454728296422, 0.050415158471845391, 0.050414845215199247, 0.050414518128127028, 0.050414180044263651, 0.050413833494490454, 0.050413480736933497, 0.050413123783943893, 0.050412764426382609, 0.050412404255495431, 0.050412044682630761, 0.050411686957025893, 0.050411332181861598, 0.050410981328762941, 0.050410635250904799, 0.05041029469486405, 0.050409960311343607, 0.050409632664881882, 0.050409312242648385, 0.050408999462414499, 0.050408694679782144, 0.050408398194740404, 0.050408110257617086, 0.05040783107448181, 0.050407560812054095, 0.05040729960216242, 0.050407047545797827, 0.050406804716798377, 0.050406571165200288, 0.050406346920286005, 0.050406131993356355, 0.050405926380252708, 0.050405730063651677, 0.050405543015151946, 0.050405365197172362, 0.05040519656467795, 0.05040503706674794, 0.050404886647999962, 0.050404745249883087, 0.050404612811849193, 0.050404489272413901, 0.050404374570115325, 0.050404268644379052, 0.050404171436295608, 0.050404082889317983, 0.050404002949884126, 0.050403931567969774, 0.050403868697576126, 0.050403814297156131, 0.05040376832998289, 0.050403730764463528, 0.050403701574400148, 0.050403680739201033, 0.050403668244042917, 0.050403664079985977, 0.050403666162207698, 0.050403672412687242, 0.050403682842869578, 0.050403697471834007, 0.05040371632630132, 0.050403739440643427, 0.050403766856895432, 0.050403798624770853, 0.050403834801679294, 0.050403875452746466, 0.050403920650837215, 0.050403970476580517, 0.050404025018397504, 0.05040408437253098, 0.050404148643077989, 0.05040421794202396, 0.050404292389279237, 0.050404372112717158, 0.050404457248214317, 0.05040454793969177, 0.050404644339158623, 0.050404746606756007, 0.050404854910802474, 0.050404969427840292, 0.050405090342682299, 0.050405217848458986, 0.050405352146665569, 0.050405493447209265, 0.050405641968455331, 0.050405797937272588, 0.050405961589077494, 0.050406133167876288, 0.050406312926305125, 0.050406501125666948, 0.050406698035965827, 0.05040690393593654, 0.050407119113070192, 0.050407343863633991, 0.050407578492685588, 0.050407823314080141, 0.050408078650469479, 0.050408344833293144, 0.05040862220275881, 0.050408911107812482, 0.050409211906096103, 0.050409524963891804, 0.050409850656051476, 0.050410189365909484, 0.050410541485177554, 0.05041090741381947, 0.050411287559904372, 0.050411682339435479, 0.050412092176153084, 0.050412517501308651, 0.050412958753407684, 0.050413416377918421, 0.050413890826943746, 0.050414382558851938, 0.05041489203786427, 0.05041541973359448, 0.05041596612053649, 0.05041653167749599, 0.050417116886961127, 0.050417722234407457, 0.050418348207531306, 0.050418995295406457, 0.050419663987557005, 0.05042035477294092, 0.050421068138835894, 0.050421804569621205, 0.050422564545446358, 0.050423348540778401, 0.050424157022818675, 0.050424990449779147, 0.050425849269007679, 0.05042673391495088, 0.050427644806943617, 0.050428582346811773, 0.050429546916275075, 0.050430538874136441, 0.050431558553242807, 0.050432606257201723, 0.050433682256837052, 0.050434786786367855, 0.050435920039290517, 0.050437082163947371, 0.050438273258760789, 0.050439493367113605, 0.050440742471853997, 0.050442020489404993, 0.050443327263454615, 0.050444662558206427, 0.050446026051166923, 0.050447417325447323, 0.050448835861558634, 0.050450281028676186, 0.050451752075355211, 0.050453248119675671, 0.050454768138798539, 0.050456310957918291, 0.050457875238596496, 0.050459459466467592, 0.050461061938309099, 0.050462680748476339, 0.050464313774703881, 0.050465958663285675, 0.050467612813652592, 0.050469273362374174, 0.050470937166622848, 0.050472600787150594, 0.050474260470841678, 0.050475912132917751, 0.050477551338892528, 0.050479173286387166, 0.050480772786941713, 0.050482344247976721, 0.050483881655085792, 0.050485378554863555, 0.050486828038501706, 0.050488222726413304, 0.050489554754175651, 0.050490815760111815, 0.050491996874860258, 0.050493088713312304, 0.050494081369324054, 0.050494964413636836, 0.050495726895459614, 0.050496357348187346, 0.050497334381882794, 0.050496664066355279, 0.05049396566858308, 0.05048883783445441, 0.050480875748054127, 0.050469693535260318, 0.050454950690348173, 0.050436380119097235, 0.050413814299220747, 0.050387205412022629, 0.050356635431792397, 0.050322313237566287, 0.050284557714644566, 0.050243768118435526, 0.050200385078975146, 0.050154846964298561, 0.050107546571923817, 0.050058792305003895, 0.050008776445332463, 0.049957551348996536, 0.049905012834421211, 0.04985088904551347, 0.049794732847383234, 0.049735916493867278, 0.049673629200404461, 0.0496068822012296, 0.04953453399039779, 0.049455365908501837, 0.049368277767432446, 0.049272767567883326, 0.049170098464243972, 0.049066207370292721, 0.048979352063257355, 0.048962007674384599, 0.049172053131435592, 0.05015264518742045, 0.05432066716840904, 0.079619256351666209, 0.40432350805635003, 0.15217541337521559, 0.085980239522479074, 0.070749507944933912, 0.06477303365171512, 0.061764286742026699, 0.060027130514438864, 0.058937869726680303, 0.058218535377863298, 0.057727614810376721, 0.057385526970583106, 0.057143838611807676, 0.056971082067151534, 0.056845659937002316, 0.056752066039312904, 0.056678775574001625, 0.056617024556216776, 0.056560082539457664, 0.056502804964410597, 0.056441343872682626, 0.056372945789041118, 0.056295794658725813, 0.05620887575499442, 0.056111848148691509, 0.056004920928823192, 0.055888733055399008, 0.055764239234688415, 0.055632605093563686, 0.055495114698535138, 0.055353092574784227, 0.055207841217844562, 0.055060593945679949, 0.054912481995724453, 0.054764514116528176, 0.054617566547681538, 0.05447238118600678, 0.054329569837430751, 0.054189622684057019, 0.054052919393380368, 0.053919741613233409, 0.053790285898518884, 0.053664676384025632, 0.053542976742232865, 0.053425201144082127, 0.053311324077136936, 0.053201288974829314, 0.053095015679078122, 0.05299240680291837, 0.052893353085742584, 0.052797737846326472, 0.052705440642003269, 0.052616340239329866, 0.052530316994710217, 0.052447254734420509, 0.052367042213545045, 0.052289574223265439, 0.052214752406294258, 0.052142485831299205, 0.052072691369089041, 0.052005293906192282, 0.051940226425238829, 0.051877429976213488, 0.051816853558122725, 0.051758453926817868, 0.051702195341578459, 0.051648049260492775, 0.051595993992619771, 0.051546014313294114, 0.051498101047708023, 0.051452250626998382, 0.051408464620449963, 0.051366749247049787, 0.051327114869459373, 0.051289575473466117, 0.051254148136110983, 0.051220852485928295, 0.051189710159042688, 0.051160744255220901, 0.051133978798344484, 0.051109438206114979, 0.051087146774119449, 0.05106712817961518, 0.051049405010550608, 0.051033998325378103, 0.051020927249134013, 0.05101020861105228, 0.05100185662862227, 0.050995882642526288, 0.050992294906278927, 0.050991098433666747, 0.050991896091532152, 0.050994288055748099, 0.05099827130531092, 0.051003840828892193, 0.051010989659980313, 0.051019708925327728, 0.051029987905964788, 0.051041814109836131, 0.051055173354925071, 0.051070049861547062, 0.05108642635231566, 0.051104284158120725, 0.051123603328300432, 0.05114436274303924, 0.051166540225883392, 0.051190112654123716, 0.051215056064668391, 0.051241345752884991, 0.051268956361761146, 0.05129786195858721, 0.051328036096212247, 0.051359451855764703, 0.051392081867546568, 0.0514258983066221, 0.05146087285940619, 0.051496976657329191, 0.051534180173411874, 0.051572453077325837, 0.051611764044251413, 0.051652080512590071, 0.051693368385347792, 0.051735591669811815, 0.051778712050015267, 0.051822688386455699, 0.05186747613766661, 0.051913026698571625, 0.051959286651164692, 0.052006196924039551, 0.052053691858731897, 0.052101698182862255, 0.052150133892801043, 0.052198907052164185, 0.052247914517030494, 0.052297040604493812, 0.052346155728142281, 0.052395115032375941, 0.052443757067139392, 0.052491902555574704, 0.052539353319048895, 0.052585891436556051, 0.052631278727972908, 0.052675256662100614, 0.05271754679960268, 0.052757851886258866, 0.052795857711551639, 0.052831235839449646, 0.052863647300316209, 0.052892747303369, 0.052918190986860056, 0.052939640167933205, 0.052956770987142895, 0.052969282266846121, 0.052976904323009583, 0.052979407893221891, 0.052976612778187521, 0.052968395748743749, 0.052954697254109513, 0.052935526486439947, 0.052910964415415325, 0.052881164503744069, 0.05284635094436977, 0.052806814412325723, 0.052762905484398756, 0.052715026031964457, 0.052663619020891769, 0.052609157244362659, 0.052552131561479837, 0.052493039214003237, 0.052432372748581757, 0.052370609990460837, 0.052308205408202219, 0.052245583090238745, 0.052183131435419826, 0.052121199551470411, 0.052060095264955558, 0.05200008457815717, 0.051941392363411255, 0.051884204062604918, 0.051828668155621704, 0.051774899172513857, 0.05172298104572904, 0.051672970626724463, 0.051624901222232594, 0.051578786036513093, 0.05153462143512285, 0.051492389971779344, 0.051452063142102392, 0.051413603846182487, 0.051376968556187771, 0.051342109195913997, 0.051308974746787056, 0.051277512599848335, 0.051247669676198142, 0.051219393339710928, 0.051192632125972228, 0.051167336310673536, 0.051143458339412237, 0.051120953139203611, 0.051099778330190547, 0.051079894354154581, 0.05106126453458136, 0.051043855081268408, 0.05102763505082486, 0.051012576272917921, 0.050998653250775766, 0.050985843043265262, 0.050974125134810727, 0.050963481298504316, 0.050953895456961142, 0.050945353544782773, 0.050937843375895409, 0.050931354518515909, 0.050925878180048768, 0.050921407103832347, 0.050917935479308563, 0.050915458866888752, 0.0509139741385203, 0.050913479434708135], [0.051289351492839703, 0.051290440301083449, 0.051293706824617584, 0.051299151392430985, 0.051306774661623367, 0.051316577781241643, 0.051328562623019255, 0.051342732080521571, 0.051359090438810318, 0.051377643817505765, 0.051398400691085637, 0.051421372491448201, 0.05144657429926424, 0.051474025632506977, 0.051503751342868401, 0.051535782633658503, 0.051570158216387475, 0.051606925627721456, 0.051646142734123483, 0.051687879458561944, 0.051732219772587108, 0.051779264008416502, 0.05182913156014983, 0.051881964061894659, 0.051937929154773591, 0.051997224986427053, 0.052060085628369668, 0.052126787652117521, 0.052197658179691936, 0.052273084825519345, 0.052353528085953865, 0.052439536925976193, 0.052531768584402956, 0.052631014006159486, 0.052738230869751143, 0.052854586999348266, 0.052981518176618871, 0.053120806230539011, 0.053274686172563909, 0.053445995724584125, 0.053638388026646444, 0.053856640727467313, 0.054107116019620198, 0.054398464199926451, 0.054742733683092737, 0.055157186475637041, 0.055667395241424326, 0.056312797548412348, 0.057157276167262759, 0.058310867398251871, 0.059978682380257851, 0.062585524895675981, 0.067151197777707811, 0.076733602075762769, 0.1046452214434891, 0.2619662467101001, 0.20353726145238854, 0.068225341539052742, 0.053377407004756322, 0.05024334927699526, 0.049447537792087021, 0.049310108830098918, 0.049389031497690687, 0.049540359238413892, 0.049711013221774625, 0.049880105945133452, 0.050039331645629681, 0.050185610823639114, 0.050318098021460964, 0.050436897220573228, 0.050542495087842011, 0.050635512467417737, 0.050716602044045545, 0.050786413977097572, 0.050845592249182642, 0.050894783219184656, 0.050934646884210226, 0.050965865961873927, 0.050989150459374265, 0.051005236953917878, 0.051014882831768991, 0.051018856409129662, 0.051017924258537711, 0.051012837222533455, 0.05100431654478297, 0.050993041333957982, 0.050979638256091059, 0.050964673989149757, 0.050948650624900935, 0.050932003908997978, 0.050915103993925258, 0.050898258247133746, 0.050881715601271797, 0.050865671939533091, 0.050850276058231961, 0.050835635822764125, 0.050821824217037098, 0.05080888506911857, 0.05079683831011287, 0.050785684685381222, 0.050775409886001002, 0.050765988104367055, 0.050757385042612839, 0.050749560418064686, 0.050742470018285225, 0.050736067361292748, 0.050730305015883083, 0.050725135633908694, 0.050720512741891162, 0.050716391334177519, 0.05071272830450714, 0.05070948274766756, 0.050706616158089399, 0.050704092547871116, 0.050701878502877981, 0.050699943192228689, 0.050698258343639863, 0.050696798194702034, 0.050695539428162878, 0.050694461097643542, 0.050693544548862442, 0.050692773340343243, 0.050692133166699557, 0.050691611786879101, 0.050691198959186987, 0.050690886384461585, 0.050690667658424213, 0.050690538233946543, 0.050690495393759166, 0.05069050028792018, 0.050690514974261372, 0.050690539464336146, 0.050690573777329294, 0.050690617939950743, 0.050690671986284859, 0.050690735957595226, 0.050690809902082197, 0.050690893874591893, 0.050690987936274211, 0.050691092154186608, 0.050691206600840595, 0.050691331353687523, 0.050691466494537873, 0.050691612108911731, 0.050691768285311918, 0.050691935114416192, 0.05069211268817974, 0.050692301098841673, 0.050692500437825805, 0.050692710794526565, 0.050692932254970305, 0.050693164900338518, 0.050693408805341483, 0.050693664036427076, 0.050693930649808878, 0.050694208689295923, 0.050694498183903876, 0.050694799145226753, 0.050695111564543836, 0.050695435409635545, 0.050695770621278315, 0.050696117109385042, 0.050696474748754744, 0.050696843374389636, 0.050697222776335371, 0.050697612693992498, 0.050698012809843616, 0.050698422742532494, 0.050698842039226213, 0.050699270167181162, 0.0506997065044257, 0.050700150329462429, 0.050700600809880376, 0.050701056989755168, 0.05070151777570045, 0.050701981921416762, 0.050702448010566226, 0.050702914437778995, 0.050703379387574334, 0.050703840810951827, 0.050704296399376188, 0.050704743555845463, 0.050705179362690533, 0.050705600545709981, 0.050706003434190315, 0.050706383916303166, 0.050706737389302113, 0.050707058703863481, 0.050707342101825953, 0.050707581146480468, 0.050707768644443409, 0.05070789655800826, 0.050707955906714779, 0.05070793665669189, 0.050707827596119151, 0.050707616194910661, 0.050707288446440471, 0.050706828688805286, 0.050706219402740456, 0.050705440982869082, 0.050704471478458364, 0.050703286299273828, 0.050701857881452463, 0.050700155307545784, 0.050698143874014161, 0.05069578459847135, 0.050693033657895174, 0.050689841747851322, 0.050686153351570777, 0.050681905906558897, 0.050677028855467689, 0.050671442567503083, 0.050665057117162494, 0.050657770909423992, 0.050649469146035082, 0.050640022138628518, 0.050629283495017836, 0.050617088242006648, 0.05060325101311542, 0.050587564543262041, 0.050569798910834601, 0.050549702316010123, 0.050527004802377144, 0.050501427442050092, 0.050472701546636467, 0.050440606299975072, 0.05040504060493485, 0.0503661596774359, 0.050324637443867663, 0.050282181916129765, 0.050242581814158971, 0.0502139308422411, 0.050213645468537273, 0.050280702190492653, 0.050508717791977735, 0.051148776229007764, 0.052998997410558531, 0.059394389725277726, 0.092478658412709969, 0.26344358047377431, 0.12356204671633492, 0.079622573915069245, 0.067373691228974852, 0.062274330869321506, 0.059623728503577174, 0.058049917595843964, 0.057031383810093206, 0.056332578639525566, 0.055833513278974969, 0.055467454086983572, 0.055194768558952362, 0.054990743204489365, 0.054839434663765417, 0.054730367390981582, 0.054656678150327494, 0.054614047538135278, 0.054600091469900157, 0.054614047538135271, 0.054656678150327535, 0.054730367390981582, 0.054839434663765438, 0.054990743204489413, 0.05519476855895207, 0.055467454086984003, 0.055833513278975185, 0.056332578639525746, 0.057031383810094705, 0.058049917595844408, 0.059623728503577979, 0.062274330869320146, 0.06737369122897427, 0.079622573915061598, 0.12356204671634612, 0.26344358047380056, 0.09247865841275002, 0.059394389725267019, 0.052998997410555977, 0.05114877622900775, 0.050508717791977645, 0.050280702190492556, 0.050213645468537287, 0.0502139308422411, 0.05024258181415895, 0.050282181916129792, 0.050324637443867656, 0.050366159677435886, 0.050405040604934934, 0.050440606299975092, 0.050472701546636474, 0.050501427442050106, 0.0505270048023772, 0.050549702316010109, 0.050569798910834546, 0.050587564543262013, 0.050603251013115455, 0.050617088242006662, 0.050629283495017871, 0.050640022138628539, 0.050649469146035048, 0.05065777090942402, 0.050665057117162501, 0.050671442567503049, 0.050677028855467668, 0.05068190590655889, 0.050686153351570777, 0.050689841747851308, 0.050693033657895181, 0.050695784598471398, 0.050698143874014112, 0.05070015530754575, 0.050701857881452463, 0.050703286299273814, 0.050704471478458343, 0.05070544098286911, 0.050706219402740456, 0.050706828688805244, 0.050707288446440416, 0.050707616194910633, 0.050707827596119151, 0.050707936656691877, 0.050707955906714813, 0.05070789655800826, 0.050707768644443436, 0.050707581146480461, 0.050707342101825939, 0.05070705870386346, 0.050706737389302162, 0.050706383916303166, 0.050706003434190274, 0.050705600545709988, 0.050705179362690568, 0.050704743555845519, 0.050704296399376202, 0.050703840810951813, 0.05070337938757434, 0.050702914437778961, 0.05070244801056624, 0.050701981921416804, 0.050701517775700443, 0.050701056989755147, 0.050700600809880363, 0.05070015032946245, 0.0506997065044257, 0.050699270167181183, 0.0506988420392262, 0.050698422742532466, 0.050698012809843623, 0.050697612693992498, 0.050697222776335371, 0.050696843374389615, 0.05069647474875473, 0.050696117109385069, 0.050695770621278335, 0.050695435409635517, 0.050695111564543809, 0.050694799145226711, 0.050694498183903869, 0.050694208689295951, 0.050693930649808892, 0.050693664036427034, 0.050693408805341456, 0.050693164900338476, 0.050692932254970291, 0.050692710794526606, 0.050692500437825791, 0.050692301098841701, 0.050692112688179775, 0.050691935114416185, 0.050691768285311918, 0.050691612108911745, 0.050691466494537936, 0.050691331353687509, 0.05069120660084063, 0.050691092154186608, 0.050690987936274197, 0.050690893874591907, 0.050690809902082183, 0.050690735957595226, 0.050690671986284866, 0.050690617939950708, 0.050690573777329308, 0.05069053946433618, 0.050690514974261414, 0.05069050028792018, 0.050690495393759097, 0.050690497841007182, 0.050690505186692429, 0.050690517442639672, 0.050690534628561386, 0.050690556772064806, 0.050690583908661865, 0.050690616081781263, 0.050690653342783797, 0.050690695750980362, 0.050690743373652106, 0.050690796286073633, 0.050690854571538296, 0.050690918321386419, 0.050690987635035198, 0.050691062620011287, 0.050691143391985452, 0.050691230074809232, 0.050691322800553218, 0.050691421709547602, 0.05069152695042356, 0.050691638680156928, 0.050691757064112365, 0.050691882276088722, 0.050692014498365454, 0.050692153921749208, 0.050692300745620915, 0.05069245517798239, 0.050692617435503497, 0.050692787743567475, 0.050692966336315745, 0.050693153456691439, 0.050693349356480372, 0.050693554296349967, 0.050693768545884928, 0.050693992383619692, 0.050694226097066281, 0.050694469982737758, 0.050694724346165398, 0.050694989501910259, 0.050695265773567068, 0.050695553493759773, 0.050695853004128481, 0.050696164655305465, 0.050696488806880394, 0.050696825827352111, 0.050697176094067056, 0.050697539993141819, 0.050697917919368479, 0.050698310276101236, 0.050698717475122057, 0.050699139936484158, 0.050699578088329943, 0.050700032366682343, 0.050700503215205923, 0.050700991084936003, 0.050701496433972336, 0.05070201972713452, 0.050702561435575187, 0.050703122036348448, 0.050703702011928711, 0.050704301849676253, 0.050704922041244826, 0.050705563081926572, 0.050706225469929429, 0.050706909705580706, 0.050707616290452152, 0.050708345726398707, 0.050709098514505717, 0.050709875153936039, 0.050710676140670451, 0.050711501966132236, 0.050712353115687628, 0.050713230067012803, 0.050714133288317247, 0.050715063236412998, 0.050716020354618488, 0.050717005070485335, 0.050718017793334937, 0.050719058911592091, 0.050720128789901051, 0.050721227766009791, 0.050722356147406222, 0.050723514207690092, 0.050724702182664269, 0.050725920266126011, 0.050727168605341016, 0.050728447296179889, 0.050729756377897929, 0.050731095827536411, 0.050732465553926069, 0.050733865391269339, 0.050735295092281099, 0.050736754320865482, 0.05073824264430675, 0.050739759524953694, 0.050741304311375031, 0.050742876228968239, 0.050744474370001159, 0.050746097683069952, 0.050747744961959829, 0.050749414833894849, 0.0507511057471699, 0.050752815958159357, 0.050754543517704212, 0.05075628625688295, 0.050758041772180414, 0.050759807410076616, 0.05076158025108455, 0.050763357093279698, 0.05076513443537356, 0.050766908459398789, 0.050768675013086031, 0.050770429592032734, 0.050772167321779249, 0.050773882939931111, 0.050775570778484366, 0.050777224746538813, 0.050778838313605384, 0.050780404493743374, 0.050781915830788588, 0.05078336438496419, 0.050784741721193405, 0.050786038899462725, 0.050787246467612623, 0.050788354456958049, 0.050789352381166913, 0.050790229238842743, 0.050790973520275548, 0.050792288460809562, 0.050791950516692171, 0.050789579616079113, 0.050784776275804445, 0.050777138853687197, 0.050766285905656142, 0.05075188240603213, 0.050733667441430916, 0.050711479942303822, 0.05068527841017019, 0.050655150749793446, 0.050621311377629583, 0.050584084629736889, 0.050543875725774456, 0.050501132582330091, 0.050456303065221995, 0.050409792517217451, 0.050361925618357638, 0.050312915147995345, 0.050262838488272989, 0.050211621188710365, 0.050159025922308406, 0.05010464488246251, 0.050047894216111333, 0.049988010704309645, 0.049924054269075327, 0.049854926748855909, 0.049779431971283046, 0.049696434763630039, 0.04960525330985683, 0.049506610570862836, 0.049404980941714159, 0.049314651800523399, 0.049276629639705902, 0.049411537592122703, 0.050115946873432834, 0.053012808446698041, 0.068241669179726697, 0.24579840119633287, 0.21026499158516618, 0.095229611908743989, 0.074110416006317362, 0.06660328843571281, 0.063012484523033221, 0.061002377281706967, 0.059767955578563486, 0.058965233089015731, 0.058424220261921608, 0.058051417263204112, 0.057790880123070182, 0.05760673718376895, 0.057474615734684792, 0.057377149345872035, 0.057301503918299593, 0.057237964013653997, 0.057179100238487129, 0.057119262290975741, 0.057054254178467025, 0.056981108090931952, 0.056897908000070684, 0.056803635398675993, 0.056698023369451879, 0.056581414075360437, 0.056454620178474732, 0.056318793481581843, 0.056175304932858092, 0.056025639666665829, 0.055871309543135621, 0.055713784170772288, 0.05555443999705903, 0.055394525941986648, 0.055235143316341113, 0.055077237406368502, 0.054921598058480153, 0.054768866776394011, 0.054619548161341291, 0.054474023908928249, 0.054332567967739394, 0.05419536182770697, 0.054062509220037469, 0.053934049767003146, 0.053809971319552639, 0.05369022086890142, 0.053574714022894196, 0.053463343107480833, 0.053355983996192471, 0.053252501793075974, 0.053152755502994913, 0.053056601822106204, 0.052963898174185585, 0.052874505107856559, 0.052788288157475875, 0.052705119257695804, 0.052624877789322469, 0.052547451322524037, 0.052472736112952063, 0.052400637397033108, 0.052331069524577237, 0.052263955959877109, 0.052199229176548727, 0.05213683046639879, 0.052076709678476746, 0.052018824901087148, 0.051963142096799669, 0.051909634698318725, 0.051858283171372754, 0.051809074549506742, 0.051762001944730379, 0.05171706403735029, 0.051674264547944763, 0.0516336116942889, 0.051595117636055218, 0.051558797910281159, 0.05152467086086561, 0.051492757065700459, 0.051463078765431554, 0.051435659298246228, 0.051410522545463563, 0.051387692393051188, 0.051367192214449908, 0.051349044380270326, 0.051333269800482646, 0.051319887504653758, 0.051308914265586009, 0.05130036427135732, 0.051294248850286786, 0.051290576252725567, 0.051289351492839703, 0.051290168008348701, 0.05129261653862404, 0.051296694042308015, 0.051302395475012787, 0.051309713825747512, 0.051318640167143777, 0.051329163718720004, 0.051341271922213633, 0.051354950527814559, 0.051370183689943054, 0.051386954071033324, 0.051405242951613778, 0.051425030344813411, 0.051446295113267745, 0.051469015086252658, 0.051493167174726649, 0.051518727481828813, 0.051545671406229301, 0.051573973735590771, 0.051603608727244607, 0.051634550173021446, 0.051666771445003444, 0.051700245518766591, 0.051734944970476607, 0.051770841943962538, 0.051807908083640712, 0.051846114428888049, 0.051885431265172755, 0.051925827926949275, 0.051967272547027064, 0.052009731746836034, 0.052053170261767194, 0.052097550495586682, 0.052142831997838493, 0.052188970858232576, 0.05223591901229676, 0.05228362345314732, 0.052332025345189132, 0.052381059036998523, 0.052430650972700721, 0.052480718503970313, 0.052531168608513035, 0.052581896525694734, 0.052632784326029018, 0.052683699438659096, 0.052734493169876225, 0.052784999256130359, 0.052835032506840053, 0.052884387605355763, 0.052932838150238297, 0.052980136032879724, 0.053026011260394613, 0.053070172343287911, 0.053112307373922626, 0.053152085922232715, 0.053189161867182436, 0.053223177263877423, 0.053253767314945508, 0.053280566469424286, 0.053303215612590632, 0.053321370237160257, 0.053334709403255347, 0.05334294520684791, 0.053345832391564971, 0.053343177666033151, 0.053334848238436018, 0.053320779061311913, 0.053300978300458185, 0.053275530606162601, 0.05324459787196141, 0.053208417309278062, 0.053167296833816352, 0.053121607935585687, 0.053071776370971366, 0.053018271154965352, 0.052961592430337441, 0.052902258839191356, 0.052840795018468827, 0.052777719788422099, 0.052713535511152994, 0.052648718977868464, 0.052583714052788312, 0.052518926172227788, 0.05245471868051764, 0.052391410888039676, 0.052329277665042223, 0.052268550338987099, 0.052209418641195778, 0.052152033446896506, 0.052096510066839137, 0.052042931873633722, 0.051991354077392395, 0.051941807499328717, 0.051894302225741852, 0.051848831056206766, 0.051805372687516706, 0.051763894598344552, 0.051724355618552112, 0.051686708181805895, 0.051650900271059161, 0.051616877074080636, 0.051584582371119715, 0.051553959679545132, 0.051524953181391782, 0.051497508459625793, 0.051471573067964932, 0.051447096957557358, 0.051424032781955363, 0.051402336099801466, 0.051381965492586286, 0.051362882612840242, 0.051345052176230442, 0.05132844190929281, 0.051313022462949491, 0.051298767300549733, 0.05128565256792518, 0.051273656951856025, 0.051262761532395812, 0.051252949633678373, 0.051244206677122428, 0.051236520040336103, 0.051229878924500927, 0.051224274232555406, 0.051219698460109132, 0.051216145600669047, 0.051213611066456027, 0.051212091625819828, 0.051211585358008065], [0.05158037447899913, 0.051581488961925645, 0.051584832546821648, 0.051590405676037392, 0.051598209200361844, 0.051608244550053604, 0.051620513975784946, 0.051635020861143119, 0.051651770108996395, 0.051670768604862909, 0.051692025761457983, 0.051715554149881236, 0.051741370224520453, 0.051769495150762943, 0.051799955747109529, 0.051832785556407981, 0.051868026064820646, 0.051905728092004923, 0.051945953382081925, 0.051988776432650943, 0.052034286608813429, 0.052082590601537158, 0.052133815305515065, 0.052188111212109999, 0.052245656439532731, 0.05230666155722357, 0.052371375407468931, 0.052440092188757337, 0.05251316014826108, 0.05259099234372, 0.052674080090477679, 0.052763009926107121, 0.052858485230845124, 0.052961354079506001, 0.053072645535530177, 0.053193617534260822, 0.053325820907465016, 0.053471186248867326, 0.053632143672052122, 0.053811790862216803, 0.054014133580872294, 0.054244437524514508, 0.054509756044259561, 0.054819744312619122, 0.055187956855899813, 0.055633994789226406, 0.056187219948024128, 0.056893527275212921, 0.057828509659895534, 0.059125161782485953, 0.061038381165189316, 0.064116605385791461, 0.069751708721110486, 0.082504520174141421, 0.12569399753170526, 0.39931503765666648, 0.12668408658666311, 0.061471942340251995, 0.052302985311512312, 0.050170823133434697, 0.049639388010054589, 0.049587535929679051, 0.049696945294073994, 0.049859188250886088, 0.050033219276426504, 0.050202696166117222, 0.050361151134457945, 0.050506271703395687, 0.050637528078433622, 0.050755141874471076, 0.050859629244014742, 0.050951602258814579, 0.051031690031267146, 0.051100515655968272, 0.051158698064416613, 0.051206863197926361, 0.051245656372948784, 0.051275751607977205, 0.051297855907882182, 0.051312707912729232, 0.051321071279477659, 0.051323723817127402, 0.051321443785626968, 0.051314994917143461, 0.0513051116531726, 0.051292485858384688, 0.051277755932664024, 0.051261498861542826, 0.051244225380286737, 0.05122637812100974, 0.051208332389147924, 0.051190399081140571, 0.051172829201124169, 0.05115581944431552, 0.051139518368804815, 0.05112403275676259, 0.051109433854856612, 0.051095763270469628, 0.051083038377817941, 0.051071257152551786, 0.051060402403800373, 0.051050445409606293, 0.051041348986965114, 0.051033070043376802, 0.051025561665089599, 0.051018774800042008, 0.051012659592573249, 0.051007166423599301, 0.051002246705178292, 0.050997853472946553, 0.050993941814320272, 0.050990469164957565, 0.050987395500970478, 0.050984683449870838, 0.050982298339268511, 0.050980208198914356, 0.050978383728762997, 0.05097679824327387, 0.050975427600127986, 0.050974250119852973, 0.050973246501472648, 0.05097239973818106, 0.05097169503614439, 0.050971119738814387, 0.050970663258569325, 0.050970317017048725, 0.050970074395193882, 0.050969930693730119, 0.050969883104606178, 0.050969888749816186, 0.050969905690198249, 0.050969933939989144, 0.050969973522851764, 0.050970024471777529, 0.050970086828947964, 0.050970160645555089, 0.050970245981578573, 0.050970342905517781, 0.05097045149407662, 0.050970571831798393, 0.05097070401064694, 0.050970848129531642, 0.05097100429377005, 0.050971172614486256, 0.05097135320793688, 0.050971546194760582, 0.050971751699143655, 0.050971969847894594, 0.050972200769419156, 0.050972444592586277, 0.050972701445476172, 0.050972971453997186, 0.050973254740360262, 0.050973551421396472, 0.050973861606702441, 0.050974185396595956, 0.050974522879862982, 0.050974874131275438, 0.050975239208855105, 0.050975618150858867, 0.050976010972455563, 0.050976417662062651, 0.050976838177307082, 0.050977272440570411, 0.050977720334074592, 0.050978181694458953, 0.050978656306793789, 0.050979143897969655, 0.050979644129394916, 0.050980156588925248, 0.050980680781940603, 0.050981216121475638, 0.050981761917297481, 0.050982317363812771, 0.050982881526671617, 0.050983453327919925, 0.05098403152953368, 0.050984614715148133, 0.050985201269771442, 0.050985789357247069, 0.05098637689519761, 0.050986961527150779, 0.050987540591507667, 0.050988111086972099, 0.050988669634006736, 0.050989212431826914, 0.050989735210376558, 0.050990233176655547, 0.050990700954682749, 0.050991132518280233, 0.050991521115750629, 0.050991859185389531, 0.050992138260625201, 0.050992348863404868, 0.050992480384245857, 0.0509925209471421, 0.05099245725724582, 0.050992274428940138, 0.050991955791557228, 0.050991482669587793, 0.050990834133747949, 0.05098998671872132, 0.050988914102762385, 0.050987586743620569, 0.050985971464424303, 0.050984030982233766, 0.050981723370942672, 0.050979001449090011, 0.050975812081972167, 0.05097209538629064, 0.050967783824567944, 0.050962801175940882, 0.050957061370101094, 0.050950467172773746, 0.050942908715353147, 0.050934261870072564, 0.050924386488627724, 0.05091312455201203, 0.050900298331897381, 0.050885708755557937, 0.050869134325754073, 0.050850331225342785, 0.050829035726603952, 0.05080497089998353, 0.050777861204548393, 0.050747461485421995, 0.050713612499211538, 0.050676346053157365, 0.050636085104074031, 0.050594031281916835, 0.050552937083995504, 0.050518707097063027, 0.050503898123804132, 0.050535914705296364, 0.050678006940062199, 0.051089945176560174, 0.052235089031884119, 0.055781426254456076, 0.070332454778124165, 0.16908619188053764, 0.1920737363290719, 0.094308452411505345, 0.072629777428036987, 0.064945911851830518, 0.061298289261703713, 0.059251153423958494, 0.057975340566775793, 0.05712299900108888, 0.056526007445536701, 0.056094451925574829, 0.055776513541846873, 0.055540629610266783, 0.055366810994849545, 0.055242112427354259, 0.055158145855299386, 0.055109674499697177, 0.055093823081348511, 0.055109674499697177, 0.055158145855299413, 0.055242112427354238, 0.055366810994849525, 0.055540629610266866, 0.055776513541846567, 0.056094451925575328, 0.056526007445536951, 0.057122999001089102, 0.057975340566777604, 0.059251153423959105, 0.061298289261704948, 0.064945911851828519, 0.07262977742803628, 0.094308452411489774, 0.19207373632910441, 0.1690861918805889, 0.070332454778138334, 0.055781426254450643, 0.052235089031882537, 0.051089945176560139, 0.050678006940062172, 0.050535914705296295, 0.050503898123804174, 0.050518707097063048, 0.050552937083995476, 0.050594031281916849, 0.050636085104074025, 0.05067634605315733, 0.050713612499211615, 0.050747461485422023, 0.050777861204548413, 0.050804970899983551, 0.050829035726604008, 0.050850331225342785, 0.050869134325754031, 0.05088570875555791, 0.050900298331897409, 0.050913124552012037, 0.050924386488627765, 0.050934261870072578, 0.050942908715353112, 0.050950467172773788, 0.050957061370101114, 0.05096280117594084, 0.050967783824567937, 0.050972095386290654, 0.050975812081972167, 0.050979001449089983, 0.050981723370942693, 0.050984030982233794, 0.050985971464424254, 0.050987586743620542, 0.050988914102762371, 0.050989986718721306, 0.050990834133747914, 0.05099148266958782, 0.050991955791557235, 0.050992274428940075, 0.050992457257245771, 0.050992520947142059, 0.050992480384245857, 0.050992348863404841, 0.050992138260625236, 0.050991859185389531, 0.05099152111575065, 0.050991132518280226, 0.050990700954682729, 0.050990233176655506, 0.050989735210376592, 0.050989212431826907, 0.050988669634006702, 0.050988111086972113, 0.050987540591507702, 0.05098696152715082, 0.050986376895197624, 0.050985789357247062, 0.050985201269771428, 0.050984614715148098, 0.050984031529533687, 0.050983453327919946, 0.050982881526671603, 0.050982317363812757, 0.050981761917297475, 0.050981216121475638, 0.05098068078194061, 0.050980156588925261, 0.050979644129394923, 0.050979143897969613, 0.050978656306793782, 0.05097818169445896, 0.050977720334074619, 0.050977272440570397, 0.050976838177307096, 0.050976417662062658, 0.050976010972455583, 0.050975618150858826, 0.050975239208855085, 0.05097487413127539, 0.050974522879862975, 0.050974185396595977, 0.050973861606702461, 0.050973551421396437, 0.050973254740360234, 0.050972971453997172, 0.050972701445476158, 0.050972444592586312, 0.050972200769419128, 0.050971969847894635, 0.050971751699143697, 0.050971546194760596, 0.050971353207936859, 0.050971172614486276, 0.050971004293770092, 0.050970848129531628, 0.050970704010646975, 0.050970571831798379, 0.050970451494076613, 0.050970342905517774, 0.050970245981578559, 0.050970160645555089, 0.050970086828947957, 0.050970024471777502, 0.05096997352285175, 0.050969933939989151, 0.050969905690198269, 0.0509698887498162, 0.05096988310460613, 0.050969885927352208, 0.050969894399660327, 0.050969908533741962, 0.050969928349954036, 0.050969953876806168, 0.050969985150970613, 0.050970022217294512, 0.050970065128815419, 0.050970113946779402, 0.050970168740661383, 0.050970229588188712, 0.050970296575366482, 0.050970369796506147, 0.050970449354255487, 0.050970535359631718, 0.050970627932056187, 0.050970727199391212, 0.050970833297978801, 0.050970946372681215, 0.050971066576922637, 0.050971194072732866, 0.05097132903079165, 0.050971471630474059, 0.050971622059896832, 0.05097178051596489, 0.050971947204418139, 0.05097212233987794, 0.050972306145893626, 0.050972498854987412, 0.050972700708698561, 0.050972911957625842, 0.050973132861467686, 0.050973363689059706, 0.050973604718409005, 0.050973856236724908, 0.050974118540444827, 0.050974391935255395, 0.0509746767361072, 0.050974973267223313, 0.050975281862099958, 0.050975602863498212, 0.050975936623427032, 0.050976283503114395, 0.050976643872967457, 0.05097701811251875, 0.0509774066103581, 0.050977809764048351, 0.050978227980023036, 0.050978661673464508, 0.050979111268160557, 0.050979577196337701, 0.050980059898468204, 0.050980559823049318, 0.05098107742635162, 0.050981613172133788, 0.050982167531320954, 0.050982740981643647, 0.050983334007232851, 0.050983947098169183, 0.050984580749980704, 0.050985235463085886, 0.050985911742177155, 0.050986610095539481, 0.050987331034299949, 0.050988075071601323, 0.050988842721694773, 0.050989634498944468, 0.050990450916737963, 0.050991292486294082, 0.050992159715361515, 0.050993053106799004, 0.05099397315702843, 0.050994920354351533, 0.050995895177120186, 0.050996898091749177, 0.050997929550560282, 0.050998989989446346, 0.051000079825341382, 0.051001199453484421, 0.051002349244462106, 0.051003529541016085, 0.051004740654598771, 0.051005982861661033, 0.051007256399656017, 0.051008561462739167, 0.051009898197148039, 0.051011266696241106, 0.051012666995176974, 0.051014099065212468, 0.051015562807600397, 0.051017058047064336, 0.051018584524830157, 0.05102014189119318, 0.051021729697598529, 0.051023347388216338, 0.051024994290988786, 0.051026669608133714, 0.051028372406084176, 0.051030101604849887, 0.051031855966787658, 0.051033634084769311, 0.051035434369741978, 0.051037255037676935, 0.051039094095911459, 0.051040949328891291, 0.051042818283330335, 0.051044698252812604, 0.051046586261868671, 0.051048479049571695, 0.051050373052709777, 0.051052264388604621, 0.051054148837660844, 0.051056021825749365, 0.051057878406543841, 0.051059713243952413, 0.051061520594805079, 0.051063294291984022, 0.051065027728206612, 0.051066713840697699, 0.051068345097015015, 0.051069913482318943, 0.05107141048840641, 0.051072827104855653, 0.051074153812656405, 0.051075380580723417, 0.051076496865716282, 0.051077491615603744, 0.051078353277427435, 0.051080016988242632, 0.05108002257649525, 0.051077990597418334, 0.051073523384968386, 0.051066222398623559, 0.051055710541761168, 0.051041658190922372, 0.051023810562936922, 0.051002013044290861, 0.050976230539938723, 0.050946557067563236, 0.050913212870133069, 0.050876528123098598, 0.050836914477763673, 0.050794827653234863, 0.050750725544704278, 0.050705026559046427, 0.050658072141851973, 0.050610096025969199, 0.050561201057031442, 0.050511342966854167, 0.050460319477213772, 0.050407762788919168, 0.050353133942365548, 0.050295718916902904, 0.050234629222030175, 0.050168815558598479, 0.050097115363530016, 0.050018382074834701, 0.049931806715123511, 0.049837696323444064, 0.049739376547184716, 0.049648027899028328, 0.049595853688755534, 0.049675867984068686, 0.050182126742802646, 0.052235074071140794, 0.061914335750837365, 0.14846057772923493, 0.3192199577116388, 0.10890623401671834, 0.078354788719915705, 0.068733878578847482, 0.06439834310351876, 0.062054478987670574, 0.060647780851393142, 0.059748203839321973, 0.059150006919914837, 0.058742694245218011, 0.058461343063877805, 0.058264902023615776, 0.05812577377451094, 0.058024448922121129, 0.057946593650673943, 0.057881406995549056, 0.057820665135415589, 0.057758146185858887, 0.057689265050993213, 0.057610820018462655, 0.057520794070679893, 0.05741817926310773, 0.057302808842219215, 0.057175192250483578, 0.057036354426459136, 0.056887683886565454, 0.056730794818991494, 0.056567407617561967, 0.056399250648888094, 0.056227984165945585, 0.056055145571137714, 0.055882113929542621, 0.055710090822109946, 0.055540094281914171, 0.055372962583144975, 0.0552093649374936, 0.05504981658543371, 0.054894696259986206, 0.054744264482870536, 0.054598681587038754, 0.054458024725173818, 0.054322303415154635, 0.054191473394424081, 0.054065448714461416, 0.053944112115056946, 0.053827323786792156, 0.053714928669016157, 0.053606762448081699, 0.053502656423438932, 0.053402441402546505, 0.053305950773301199, 0.05321302288753435, 0.053123502872933118, 0.053037243974758341, 0.052954108513660149, 0.052873968532172841, 0.052796706190267523, 0.052722213959689262, 0.052650394657653393, 0.052581161352703791, 0.052514437169010532, 0.05245015500996901, 0.052388257217505813, 0.052328695179880078, 0.052271428897864992, 0.052216426516911191, 0.052163663831123468, 0.052113123763569545, 0.052064795826495959, 0.052018675564406522, 0.051974763982605747, 0.051933066963686693, 0.051893594674491055, 0.051856360966275016, 0.051821382771123609, 0.051788679498042126, 0.051758272432582283, 0.051730184144304019, 0.051704437906790537, 0.051681057135316892, 0.051660064847561214, 0.051641483152957079, 0.051625332776364011, 0.051611632621682342, 0.051600399380848261, 0.051591647193295752, 0.05158538736049291, 0.051581628119531216, 0.05158037447899913, 0.051581210247683702, 0.051583716531327421, 0.051587890270369398, 0.051593726390985917, 0.051601217842861015, 0.051610355651271284, 0.05162112898270433, 0.051633525223012663, 0.051647530066903792, 0.05166312761737199, 0.051680300493488998, 0.051699029944796908, 0.051719295970378221, 0.051741077440518306, 0.051764352218723643, 0.051789097281706671, 0.05181528883480719, 0.051842902420164018, 0.051871913014801742, 0.051902295115634905, 0.051934022808214367, 0.051967069815855305, 0.052001409525570551, 0.052037014987007975, 0.052073858880328984, 0.052111913448685598, 0.052151150390649437, 0.052191540707617411, 0.052233054500878395, 0.052275660712679271, 0.052319326805292853, 0.052364018371788626, 0.052409698671968152, 0.05245632808678307, 0.052503863484573574, 0.052552257492691247, 0.052601457668597716, 0.052651405565455237, 0.052702035688659297, 0.052753274341849413, 0.052805038363828084, 0.052857233761690103, 0.052909754250501005, 0.052962479716246125, 0.053015274626665408, 0.053067986424122117, 0.053120443945873216, 0.053172455929961442, 0.053223809679199069, 0.053274269970912426, 0.053323578315525831, 0.053371452681589701, 0.05341758781702878, 0.053461656304306077, 0.05350331048861371, 0.05354218541059088, 0.053577902855850373, 0.053610076600439871, 0.053638318882617865, 0.053662248066504353, 0.053681497383498526, 0.053695724546256138, 0.053704621933360765, 0.053707926948932116, 0.053705432080579291, 0.053696994122615575, 0.05368254201012785, 0.053662082731919122, 0.053635704861052909, 0.053603579359720592, 0.053565957473162618, 0.053523165712119791, 0.053475598116938965, 0.053423706178940142, 0.053367986946660916, 0.053308969950502674, 0.053247203629471031, 0.053183241935743385, 0.053117631731504356, 0.053050901488601816, 0.052983551669650172, 0.052916047025166835, 0.052848810900111433, 0.052782221517001938, 0.052716610099979744, 0.052652260629105871, 0.052589410967394216, 0.052528255082323422, 0.052468946084579367, 0.05241159982437972, 0.052356298814578747, 0.052303096284960014, 0.052252020209630191, 0.052203077186117545, 0.052156256078513451, 0.05211153136648821, 0.052068866166681736, 0.052028214912737292, 0.051989525695425351, 0.051952742275380007, 0.051917805788571789, 0.051884656169393799, 0.05185323331875067, 0.051823478045358334, 0.051795332808045692, 0.051768742285589392, 0.051743653798809561, 0.051720017607545472, 0.051697787102894494, 0.051676918912856203, 0.051657372937366386, 0.051639112326686255, 0.051622103415259732, 0.051606315621486695, 0.051591721322375335, 0.051578295710734606, 0.051566016641429818, 0.051554864472240523, 0.051544821904011461, 0.051535873824057693, 0.051528007156159815, 0.05152121071994982, 0.051515475102021951, 0.051510792540709033, 0.051507156826110866, 0.05150456321665621, 0.051503008373207808, 0.051502490311466802], [0.05187874108620473, 0.051879882107023025, 0.051883305345466521, 0.051889011364999987, 0.051897001223282953, 0.051907276650789841, 0.051919840302521884, 0.051934696084608378, 0.051951849558315374, 0.05197130842488016, 0.051993083095712871, 0.052017187353895468, 0.052043639114654386, 0.052072461294657278, 0.05210368280269094, 0.052137339667652931, 0.052173476324007664, 0.052212147080130035, 0.052253417801575601, 0.05229736784966859, 0.052344092326370426, 0.052393704689887084, 0.052446339822779388, 0.05250215765674044, 0.052561347487380977, 0.05262413315072114, 0.052690779283954825, 0.052761598961135747, 0.052836963086500634, 0.05291731205394104, 0.053003170354976786, 0.053095165060740288, 0.053194049447962417, 0.053300733533830046, 0.053416324006200652, 0.0535421771051076, 0.053679969624613522, 0.05383179568464614, 0.054000300818538877, 0.054188871185928911, 0.054401906055861426, 0.054645219257671282, 0.054926646091736968, 0.055256988240572721, 0.055651535603260208, 0.056132615900315527, 0.056734069567100143, 0.057509553853472457, 0.05854903708957486, 0.060014464616581262, 0.062225783737488466, 0.065901115412145467, 0.072981564382538291, 0.090525714828598586, 0.16229607376494856, 0.42478803182758806, 0.091750530877747524, 0.057585818577571772, 0.051676929164222375, 0.050213001382347883, 0.049871752488821981, 0.049883930026712146, 0.05001649249998822, 0.05018692257030425, 0.05036328746287224, 0.050532772789555369, 0.050690357627294153, 0.050834335020667969, 0.05096442065620127, 0.05108092223467859, 0.051184370973925294, 0.051275363616802669, 0.051354502859466043, 0.051422383690456243, 0.051479599860932125, 0.051526757261025749, 0.05156448719297306, 0.051593455846725138, 0.051614368244598259, 0.051627966216868444, 0.051635020886261304, 0.051636320776155348, 0.05163265704057738, 0.051624807454292793, 0.051613520722764872, 0.051599502420735299, 0.051583403507741064, 0.051565811967186195, 0.05154724773343073, 0.051528160753132393, 0.051508931797022844, 0.051489875501666379, 0.051471245068324185, 0.05145323806000339, 0.05143600279713291, 0.05141964493716112, 0.051404233917305669, 0.051389809030822138, 0.051376384988057931, 0.051363956880503173, 0.051352504518078428, 0.051341996147868538, 0.05133239158827177, 0.051323644828360458, 0.05131570615042888, 0.051308523836297137, 0.051302045516703025, 0.051296219219417155, 0.051290994166625734, 0.051286321366392683, 0.05128215403716635, 0.051278447898675777, 0.051275161357368607, 0.051272255609885249, 0.051269694683973327, 0.051267445432722158, 0.051265477495001578, 0.051263763232472066, 0.051262277651446302, 0.051260998316161974, 0.051259905258623548, 0.051258980889035764, 0.051258209909941496, 0.051257579236448116, 0.051257077924353286, 0.051256697107527879, 0.051256429945558464, 0.051256271582376133, 0.051256219116378128, 0.051256225534648245, 0.051256244795128421, 0.05125627691481062, 0.051256321921955561, 0.051256379856003967, 0.051256450767450584, 0.051256534717680539, 0.051256631778766333, 0.051256742033223252, 0.051256865573721749, 0.051257002502753432, 0.051257152932247807, 0.051257316983136791, 0.051257494784861531, 0.051257686474819375, 0.051257892197743231, 0.051258112105009641, 0.051258346353867883, 0.051258595106583947, 0.051258858529490484, 0.051259136791934071, 0.051259430065111002, 0.051259738520778739, 0.051260062329832545, 0.051260401660732993, 0.051260756677769498, 0.051261127539143345, 0.051261514394851618, 0.051261917384352158, 0.051262336633985904, 0.051262772254132373, 0.051263224336069731, 0.051263692948508681, 0.05126417813376552, 0.051264679903535976, 0.05126519823422742, 0.051265733061801592, 0.05126628427607513, 0.051266851714418658, 0.05126743515478948, 0.051268034308023659, 0.05126864880930599, 0.051269278208726551, 0.051269921960821301, 0.051270579412982367, 0.051271249792610149, 0.051271932192862933, 0.051272625556844004, 0.051273328660044228, 0.051274040090837657, 0.051274758228801891, 0.05127548122060497, 0.051276206953170034, 0.051276933023789759, 0.051277656706822619, 0.051278374916552599, 0.051279084165741243, 0.051279780519336786, 0.05128045954273408, 0.051281116243896953, 0.051281745008560767, 0.051282339527624531, 0.051282892715717884, 0.051283396619786085, 0.051283842316371432, 0.051284219796078993, 0.051284517833498265, 0.051284723840596222, 0.051284823701309178, 0.051284801584720138, 0.05128463973382151, 0.051284318226411364, 0.051283814704153795, 0.051283104065238637, 0.051282158115391191, 0.051280945171208354, 0.05127942960891832, 0.05127757135068535, 0.051275325279514131, 0.051272640572678864, 0.051269459942466053, 0.051265718771989231, 0.05126134413309362, 0.051256253673253753, 0.051250354359436263, 0.051243541070095669, 0.05123569503337299, 0.051226682122835251, 0.051216351046206608, 0.051204531505131962, 0.051191032478193434, 0.051175640907981788, 0.051158121296361492, 0.051138217102692202, 0.051115655530867818, 0.051090158532739585, 0.051061465130181401, 0.051029374424061878, 0.050993826885430193, 0.050955057920739524, 0.050913891669950202, 0.050872316643761697, 0.050834653354247167, 0.050810035600569715, 0.050818013768677915, 0.050902250352279306, 0.051167678721210336, 0.05189666615761987, 0.053992957886184335, 0.061280093620440595, 0.099584434300606511, 0.27374584645912109, 0.12425519166114229, 0.081033819736394425, 0.068650850858259033, 0.063426746315632401, 0.060693335576429051, 0.059065465213961138, 0.058011425634493678, 0.057289578003979699, 0.056776368898259454, 0.056402972234833863, 0.056128554154447778, 0.055927779652527668, 0.055784501589310892, 0.055688383890390734, 0.05563303037242754, 0.055614949376847599, 0.055633030372427561, 0.055688383890390762, 0.055784501589310857, 0.055927779652527654, 0.056128554154447868, 0.056402972234833496, 0.056776368898260016, 0.057289578003979921, 0.058011425634493935, 0.059065465213963345, 0.060693335576429759, 0.063426746315634025, 0.068650850858256174, 0.08103381973639312, 0.12425519166111129, 0.27374584645913508, 0.099584434300627939, 0.061280093620447465, 0.053992957886181206, 0.051896666157618933, 0.051167678721210294, 0.050902250352279299, 0.05081801376867788, 0.050810035600569764, 0.050834653354247181, 0.050872316643761697, 0.050913891669950237, 0.050955057920739524, 0.050993826885430166, 0.051029374424061968, 0.051061465130181408, 0.051090158532739599, 0.051115655530867853, 0.051138217102692257, 0.051158121296361485, 0.05117564090798174, 0.051191032478193413, 0.051204531505131989, 0.051216351046206594, 0.0512266821228353, 0.05123569503337301, 0.051243541070095613, 0.051250354359436305, 0.051256253673253767, 0.051261344133093585, 0.051265718771989217, 0.05126945994246606, 0.051272640572678892, 0.051275325279514117, 0.05127757135068535, 0.051279429608918355, 0.051280945171208299, 0.051282158115391149, 0.051283104065238623, 0.051283814704153774, 0.051284318226411336, 0.051284639733821524, 0.051284801584720131, 0.051284823701309129, 0.051284723840596173, 0.05128451783349821, 0.051284219796079, 0.051283842316371418, 0.051283396619786141, 0.051282892715717905, 0.051282339527624551, 0.051281745008560767, 0.051281116243896946, 0.051280459542734053, 0.051279780519336834, 0.05127908416574125, 0.051278374916552572, 0.051277656706822619, 0.051276933023789786, 0.051276206953170082, 0.05127548122060497, 0.051274758228801884, 0.051274040090837664, 0.051273328660044186, 0.051272625556844025, 0.051271932192862968, 0.051271249792610128, 0.051270579412982346, 0.051269921960821287, 0.051269278208726572, 0.051268648809306011, 0.051268034308023666, 0.051267435154789459, 0.05126685171441861, 0.051266284276075123, 0.051265733061801599, 0.051265198234227441, 0.051264679903535934, 0.051264178133765506, 0.051263692948508695, 0.051263224336069765, 0.051262772254132331, 0.05126233663398589, 0.051261917384352096, 0.05126151439485159, 0.051261127539143352, 0.051260756677769519, 0.051260401660732965, 0.051260062329832531, 0.051259738520778697, 0.051259430065110967, 0.051259136791934105, 0.051258858529490456, 0.051258595106583982, 0.051258346353867917, 0.051258112105009634, 0.051257892197743224, 0.051257686474819389, 0.051257494784861579, 0.051257316983136757, 0.051257152932247842, 0.051257002502753439, 0.051256865573721749, 0.051256742033223258, 0.051256631778766326, 0.051256534717680539, 0.051256450767450591, 0.051256379856003946, 0.051256321921955575, 0.051256276914810654, 0.051256244795128449, 0.051256225534648252, 0.051256219116378079, 0.051256222325626995, 0.051256231957575962, 0.051256248024833376, 0.051256270548417769, 0.051256299557765124, 0.051256335090738896, 0.051256377193642393, 0.051256425921234527, 0.051256481336747921, 0.051256543511909718, 0.051256612526965034, 0.051256688470702819, 0.051256771440484516, 0.051256861542274372, 0.051256958890672714, 0.051257063608950854, 0.051257175829088425, 0.051257295691811963, 0.051257423346635952, 0.051257558951904349, 0.051257702674834787, 0.051257854691562646, 0.051258015187186638, 0.051258184355814959, 0.051258362400611844, 0.051258549533844018, 0.051258745976926881, 0.051258951960470478, 0.051259167724324074, 0.05125939351761935, 0.05125962959881207, 0.051259876235721133, 0.051260133705564856, 0.051260402294993644, 0.051260682300119147, 0.051260974026537898, 0.051261277789350246, 0.051261593913172414, 0.051261922732141987, 0.051262264589915174, 0.051262619839654786, 0.051262988844008789, 0.051263371975076993, 0.051263769614365691, 0.051264182152728092, 0.051264609990289756, 0.051265053536357207, 0.051265513209307695, 0.051265989436458818, 0.051266482653915715, 0.051266993306393852, 0.051267521847015184, 0.051268068737074769, 0.051268634445776014, 0.051269219449931, 0.051269824233622988, 0.051270449287828583, 0.051271095109994377, 0.051271762203566239, 0.051272451077465857, 0.051273162245510713, 0.051273896225772705, 0.051274653539870318, 0.051275434712189469, 0.051276240269026691, 0.051277070737648853, 0.051277926645262872, 0.051278808517888616, 0.051279716879126844, 0.051280652248815263, 0.051281615141563486, 0.05128260606515786, 0.051283625518827272, 0.051284673991359053, 0.051285751959054549, 0.051286859883512656, 0.051287998209229677, 0.051289167361002162, 0.051290367741119794, 0.051291599726333396, 0.051292863664584319, 0.051294159871478298, 0.051295488626487931, 0.051296850168867494, 0.051298244693260615, 0.051299672344984275, 0.051301133214968618, 0.051302627334334161, 0.051304154668585199, 0.051305715111400425, 0.051307308477998526, 0.051308934498059261, 0.051310592808178832, 0.051312282943838723, 0.051314004330869509, 0.051315756276388264, 0.051317537959194692, 0.05131934841960735, 0.051321186548726326, 0.051323051077111631, 0.051324940562867169, 0.051326853379127041, 0.05132878770094243, 0.051330741491575752, 0.051332712488211925, 0.05133469818710612, 0.051336695828195791, 0.051338702379211967, 0.051340714519338401, 0.051342728622478115, 0.051344740740200998, 0.051346746584460146, 0.051348741510183891, 0.051350720497865834, 0.051352678136298548, 0.051354608605614444, 0.051356505660824239, 0.05135836261606469, 0.051360172329794999, 0.05136192719120676, 0.051363619108139039, 0.051365239496818885, 0.051366779273771979, 0.051368228850275699, 0.051369578129748655, 0.051370816508494045, 0.051371932880227796, 0.051372915644837841, 0.051374939205983738, 0.051375299170199153, 0.051373616560572467, 0.051369495342804508, 0.051362539874008843, 0.051352377197851497, 0.051338682907176671, 0.051321208216310678, 0.051299804923768844, 0.051274444415284705, 0.051245227042493874, 0.051212379245383133, 0.051176237544992773, 0.051137220634273207, 0.051095792704388979, 0.051052422360871631, 0.051007541724217897, 0.050961509593363576, 0.050914581167308536, 0.050866885197247261, 0.050818407991011033, 0.050768982706136355, 0.050718282001281506, 0.050665812449149153, 0.050610910296536506, 0.050552740638651304, 0.050490307038073425, 0.050422488922739206, 0.050348146583506503, 0.050266385140148827, 0.050177193364493326, 0.050082993079952259, 0.049992521044599343, 0.049931168297418657, 0.049971241512643233, 0.050333754350759485, 0.051810678507532258, 0.058225803592453086, 0.10346405559161673, 0.45706466342325247, 0.13054139350525348, 0.083912056980732314, 0.071280405459507049, 0.065974233337796423, 0.06321695610329281, 0.06160371768149682, 0.060590666579551408, 0.059926676821241122, 0.059480308844182331, 0.059175821360267042, 0.05896602782150303, 0.05881955933261418, 0.05871442186827637, 0.058634552507028509, 0.058567903390313474, 0.05850534144805513, 0.058439994324779324, 0.058366839180678393, 0.058282418160242759, 0.058184613828705808, 0.058072448195774437, 0.05794588838499698, 0.057805654387144259, 0.057653031588673208, 0.057489694137668551, 0.057317545757451772, 0.057138583341569356, 0.056954786465915168, 0.05676803356111159, 0.056580043398756844, 0.056392339023843677, 0.056206230383576347, 0.056022811597710553, 0.055842968954427592, 0.055667396145679955, 0.055496613837460046, 0.055330991294463547, 0.055170768370818926, 0.055016076695950586, 0.054866959308689345, 0.054723388321721585, 0.054585280440711342, 0.054452510331230074, 0.054324921936704802, 0.054202337915936288, 0.054084567401535666, 0.053971412290823452, 0.053862672276108844, 0.053758148807579897, 0.053657648163463363, 0.053560983781504583, 0.05346797798504984, 0.053378463217263611, 0.053292282878909018, 0.053209291848991619, 0.05312935675347593, 0.053052356035177155, 0.052978179867665794, 0.052906729947415874, 0.052837919191281807, 0.052771671360522091, 0.052707920627809303, 0.052646611099825671, 0.052587696304990918, 0.052531138653495089, 0.052476908874986093, 0.052424985437931393, 0.052375353953731385, 0.052328006568061206, 0.05228294134159632, 0.052240161622191091, 0.052199675410673829, 0.05216149472267257, 0.052125634949244978, 0.052092114219519765, 0.052060952769035045, 0.052032172317947024, 0.052005795463744162, 0.051981845093522695, 0.051960343821205054, 0.05194131345532095, 0.051924774503075144, 0.051910745716392648, 0.051899243685454684, 0.051890282484894593, 0.05188387337734434, 0.051880024578385919, 0.05187874108620473, 0.051879596755350518, 0.051882162734679389, 0.051886435947821039, 0.051892411293886956, 0.051900081686655969, 0.051909438108618443, 0.051920469679076327, 0.051933163735273555, 0.051947505925324072, 0.051963480311504197, 0.051981069482282025, 0.052000254671278036, 0.05202101588117676, 0.052043332010444449, 0.05206718098055086, 0.05209253986123364, 0.052119384991197025, 0.052147692091472325, 0.052177436368509959, 0.052208592603900025, 0.052241135227427987, 0.052275038369972424, 0.052310275892517959, 0.052346821387310172, 0.052384648146894135, 0.052423729096466948, 0.052464036684638671, 0.052505542727326993, 0.05254821819912478, 0.05259203296608457, 0.052636955453469331, 0.052682952241657012, 0.052729987583079327, 0.052778022832863002, 0.052827015785790597, 0.052876919912358426, 0.052927683487177232, 0.052979248603844398, 0.053031550071830857, 0.053084514193031965, 0.053138057418594876, 0.053192084890649208, 0.053246488878837782, 0.053301147128277541, 0.053355921143971814, 0.053410654446897347, 0.053465170849079577, 0.053519272808911479, 0.053572739943542155, 0.053625327791898748, 0.053676766939039014, 0.053726762628886947, 0.053774995006392365, 0.053821120139699641, 0.053864771975523293, 0.053905565373795324, 0.053943100347859776, 0.053976967601378684, 0.054006755400732, 0.054032057751368094, 0.054052483759513062, 0.05406766796053955, 0.054077281288568479, 0.054081042257750532, 0.054078727835623855, 0.054070183425618, 0.054055331351344049, 0.054034177259448993, 0.054006813935639615, 0.053973422158870576, 0.053934268393439379, 0.05388969932286674, 0.053840133442902331, 0.053786050131291063, 0.053727976777564877, 0.05366647466986646, 0.053602124387304211, 0.053535511433427024, 0.053467212774980094, 0.053397784832580411, 0.053327753322845825, 0.053257605192619302, 0.053187782731712589, 0.053118679814265025, 0.053050640109202032, 0.052983957021674355, 0.052918875079955026, 0.052855592463140338, 0.052794264369191615, 0.05273500694450315, 0.052677901529368437, 0.052622999013118281, 0.052570324133964987, 0.052519879598432032, 0.052471649931481262, 0.052425604999806169, 0.052381703176717281, 0.052339894137625881, 0.052300121290736419, 0.052262323858777243, 0.052226438635132405, 0.052192401442293326, 0.052160148322781603, 0.052129616493192511, 0.052100745091266033, 0.052073475744313966, 0.052047752985234147, 0.052023524539971111, 0.052000741507814557, 0.051979358453487647, 0.051959333427653472, 0.051940627930308077, 0.051923206829564555, 0.051907038246574055, 0.051892093415772743, 0.051878346528283346, 0.051865774565116866, 0.05185435712580265, 0.051844076257199015, 0.051834916286488952, 0.051826863661725106, 0.051819906802742559, 0.05181403596478578, 0.051809243116795287, 0.051805521835944911, 0.051802867219711321, 0.051801275816485776, 0.051800745575484218], [0.052199976417227276, 0.052201145204687806, 0.052204651785661534, 0.052210496853013565, 0.052218681685391011, 0.052229208333899366, 0.052242079885248739, 0.052257300803333608, 0.052274877351993342, 0.052294818102676367, 0.052317134531946183, 0.05234184171526933, 0.052368959125412708, 0.052398511546126576, 0.052430530114717273, 0.052465053510764983, 0.052502129312812063, 0.052541815550564704, 0.052584182487338788, 0.052629314676567271, 0.052677313347712189, 0.052728299191664628, 0.052782415634661725, 0.05283983271432565, 0.052900751703519773, 0.052965410670012085, 0.053034091216176728, 0.053107126718455445, 0.053184912488692511, 0.053267918419816956, 0.053356704872980651, 0.053451942836512126, 0.053554439775701956, 0.053665173153176239, 0.053785334421070807, 0.053916387509793592, 0.054060147693964625, 0.054218889587164802, 0.054395497556585695, 0.054593679200922993, 0.054818274765555244, 0.055075716332568421, 0.055374727784501664, 0.05572742497850558, 0.056151107234400123, 0.056671297682054103, 0.057327162051652385, 0.058181753083518153, 0.05934283206087515, 0.061009225961692941, 0.063587019214225035, 0.068031623598306959, 0.077118542082360284, 0.10226876009305735, 0.23129841554574782, 0.26710679246428665, 0.07472420417347117, 0.055285304463532012, 0.051357607266683272, 0.05035240535509785, 0.050150321882264627, 0.050210977563245787, 0.050361307978082075, 0.050537957394702522, 0.050715963281100063, 0.050885270349646829, 0.051042003435845494, 0.051184935592564963, 0.051313973455851924, 0.051429486598436699, 0.051532010565659508, 0.051622122194522405, 0.051700396065062222, 0.051767398737016433, 0.051823699149952163, 0.051869883894300008, 0.051906571255369884, 0.051934420773916148, 0.051954136812921242, 0.051966465825567229, 0.051972187903756947, 0.051972103815425941, 0.051967019119305874, 0.051957727079292922, 0.05194499200847618, 0.051929534402378325, 0.051912018838110051, 0.051893045192599047, 0.051873143332555084, 0.051852771097521219, 0.051832315159967543, 0.051812094207600697, 0.051792363842494034, 0.051773322610049209, 0.051755118635885958, 0.051737856439558319, 0.051721603593394977, 0.051706396990483031, 0.051692248570279521, 0.051679150419851758, 0.051667079222482072, 0.051656000064351761, 0.051645869636264941, 0.051636638883319735, 0.051628255163493744, 0.051620663978443823, 0.051613810338254192, 0.051607639817820711, 0.051602099357128832, 0.051597137851638691, 0.051592706572870566, 0.051588759453427183, 0.051585253265302042, 0.051582147715501056, 0.051579405478786561, 0.051576992183722165, 0.051574876365121057, 0.051573029393419498, 0.051571425389361596, 0.051570041130624772, 0.051568855955586371, 0.051567851668276973, 0.05156701244764246, 0.051566324763498921, 0.051565777300985285, 0.051565360894862355, 0.051565068474650429, 0.051564895021322117, 0.051564837536048021, 0.051564844751199351, 0.051564866403266338, 0.051564902512072394, 0.051564953110603155, 0.051565018244926847, 0.051565097974080702, 0.051565192369923678, 0.051565301516953335, 0.051565425512085088, 0.051565564464392331, 0.051565718494803937, 0.051565887735756988, 0.051566072330801384, 0.051566272434151177, 0.051566488210180617, 0.051566719832857648, 0.051566967485110846, 0.051567231358122842, 0.051567511650544177, 0.051567808567618917, 0.051568122320213704, 0.051568453123741982, 0.051568801196970854, 0.051569166760700322, 0.051569550036301183, 0.051569951244097696, 0.051570370601578278, 0.051570808321416819, 0.051571264609285253, 0.051571739661434551, 0.051572233662020552, 0.051572746780147463, 0.051573279166598505, 0.051573830950220979, 0.051574402233928042, 0.051574993090276265, 0.05157560355657291, 0.051576233629461593, 0.051576883258928792, 0.051577552341668928, 0.051578240713735408, 0.051578948142399196, 0.05157967431712622, 0.051580418839574475, 0.051581181212500007, 0.051581960827447766, 0.051582756951088202, 0.051583568710043937, 0.051584395074031099, 0.051585234837119229, 0.051586086596888597, 0.051586948731236155, 0.0515878193725504, 0.051588696378938585, 0.051589577302151218, 0.05159045935180006, 0.051591339355415329, 0.051592213713826385, 0.051593078351282018, 0.051593928659647993, 0.051594759435929553, 0.051595564812263427, 0.051596338177405075, 0.051597072088601724, 0.051597758172585106, 0.051598387014236101, 0.051598948031268972, 0.051599429333039057, 0.051599817561305654, 0.051600097710458814, 0.051600252924353732, 0.051600264266469069, 0.051600110459617494, 0.051599767590875152, 0.051599208776750304, 0.051598403782881094, 0.051597318591720925, 0.051595914910745083, 0.051594149612695504, 0.05159197409829485, 0.051589333570750913, 0.051586166210329777, 0.051582402236451892, 0.051577962844439627, 0.051572759004674326, 0.051566690114289417, 0.051559642496927773, 0.051551487756712359, 0.051542081012067593, 0.051531259069577583, 0.051518838658235346, 0.05150461494845688, 0.051488360760076984, 0.051469827176113835, 0.051448746827748422, 0.051424842092455798, 0.051397842216298319, 0.051367516646562847, 0.051333738083391853, 0.051296600947593918, 0.051256645708696293, 0.051215291925994583, 0.051175699512633128, 0.05114455325837651, 0.051135964543488316, 0.051180618794354392, 0.051349270045695582, 0.051820901577159836, 0.053116779881899244, 0.057128624350919692, 0.073748645541155747, 0.18583045937723497, 0.19183963579729993, 0.095965822300713099, 0.074132957646434516, 0.066258257372753107, 0.062488944380792735, 0.06036539015540747, 0.059040634682325142, 0.058156871960048095, 0.05754043609555054, 0.057098262757695854, 0.056776748962669266, 0.056543391341708028, 0.056377838412265541, 0.056267237104208723, 0.056203710806676889, 0.056182986925471662, 0.05620371080667691, 0.05626723710420873, 0.056377838412265499, 0.056543391341708035, 0.056776748962669363, 0.057098262757695466, 0.057540436095551199, 0.058156871960048442, 0.059040634682325455, 0.060365390155410273, 0.062488944380793776, 0.066258257372755452, 0.074132957646430256, 0.09596582230071192, 0.19183963579724006, 0.18583045937718101, 0.073748645541162894, 0.057128624350923217, 0.053116779881897475, 0.051820901577159281, 0.051349270045695547, 0.051180618794354392, 0.051135964543488281, 0.051144553258376545, 0.051175699512633149, 0.051215291925994583, 0.05125664570869632, 0.051296600947593918, 0.051333738083391811, 0.051367516646562937, 0.051397842216298353, 0.051424842092455805, 0.051448746827748464, 0.051469827176113904, 0.051488360760076984, 0.051504614948456824, 0.051518838658235304, 0.051531259069577603, 0.051542081012067587, 0.051551487756712394, 0.051559642496927779, 0.051566690114289375, 0.051572759004674368, 0.051577962844439634, 0.051582402236451864, 0.05158616621032977, 0.051589333570750934, 0.051591974098294864, 0.051594149612695497, 0.051595914910745111, 0.051597318591720946, 0.051598403782881053, 0.051599208776750283, 0.051599767590875159, 0.051600110459617488, 0.051600264266469041, 0.051600252924353759, 0.0516000977104588, 0.051599817561305612, 0.051599429333039029, 0.051598948031268917, 0.051598387014236101, 0.051597758172585093, 0.051597072088601793, 0.051596338177405075, 0.051595564812263461, 0.051594759435929546, 0.051593928659647972, 0.051593078351281997, 0.051592213713826419, 0.051591339355415322, 0.051590459351800025, 0.051589577302151218, 0.05158869637893862, 0.051587819372550456, 0.051586948731236162, 0.051586086596888583, 0.051585234837119229, 0.051584395074031071, 0.051583568710043937, 0.05158275695108825, 0.051581960827447759, 0.051581181212499994, 0.051580418839574475, 0.05157967431712622, 0.051578948142399189, 0.051578240713735422, 0.051577552341668921, 0.051576883258928764, 0.051576233629461593, 0.051575603556572924, 0.051574993090276279, 0.051574402233928, 0.051573830950220993, 0.05157327916659854, 0.051572746780147484, 0.051572233662020517, 0.051571739661434517, 0.051571264609285204, 0.051570808321416819, 0.051570370601578312, 0.051569951244097731, 0.051569550036301155, 0.051569166760700294, 0.051568801196970847, 0.051568453123741968, 0.051568122320213738, 0.051567808567618882, 0.051567511650544212, 0.051567231358122877, 0.051566967485110839, 0.051566719832857634, 0.051566488210180644, 0.051566272434151218, 0.051566072330801377, 0.051565887735757016, 0.051565718494803917, 0.051565564464392318, 0.051565425512085102, 0.051565301516953314, 0.051565192369923671, 0.051565097974080702, 0.051565018244926833, 0.051564953110603162, 0.051564902512072408, 0.051564866403266373, 0.051564844751199344, 0.051564837536047965, 0.051564841143709621, 0.051564851971033797, 0.051564870031040044, 0.051564895345432092, 0.051564927944605328, 0.051564967867657012, 0.051565015162398552, 0.051565069885371677, 0.05156513210186657, 0.0515652018859429, 0.051565279320453558, 0.051565364497070651, 0.051565457516314597, 0.051565558487584429, 0.051565667529191644, 0.051565784768395025, 0.051565910341438467, 0.05156604439358968, 0.051566187079181466, 0.051566338561653435, 0.051566499013596237, 0.051566668616795847, 0.051566847562279076, 0.051567036050359776, 0.051567234290685104, 0.051567442502281895, 0.051567660913602403, 0.051567889762570047, 0.051568129296622987, 0.051568379772756953, 0.051568641457565838, 0.051568914627279618, 0.051569199567799387, 0.051569496574728431, 0.051569805953399564, 0.051570128018896752, 0.051570463096071606, 0.051570811519552673, 0.051571173633747892, 0.051571549792838352, 0.05157194036076234, 0.051572345711189599, 0.0515727662274829, 0.051573202302647593, 0.051573654339265695, 0.051574122749414891, 0.051574607954569703, 0.051575110385483292, 0.05157563048204817, 0.051576168693133646, 0.051576725476398265, 0.05157730129807403, 0.051577896632720902, 0.05157851196294793, 0.051579147779098965, 0.051579804578899081, 0.051580482867059074, 0.051581183154833489, 0.051581905959529474, 0.051582651803961231, 0.051583421215846519, 0.051584214727139671, 0.051585032873296674, 0.051585876192466365, 0.051586745224602368, 0.051587640510489093, 0.051588562590675416, 0.051589512004309217, 0.051590489287864104, 0.051591494973751983, 0.051592529588811276, 0.051593593652662466, 0.051594687675921236, 0.05159581215825889, 0.051596967586298816, 0.051598154431337848, 0.051599373146880331, 0.051600624165971665, 0.051601907898318151, 0.051603224727178508, 0.05160457500601285, 0.051605959054872474, 0.051607377156514506, 0.051608829552225219, 0.051610316437332597, 0.051611837956391605, 0.051613394198022071, 0.051614985189380715, 0.051616610890246349, 0.051618271186700114, 0.051619965884378054, 0.051621694701277886, 0.051623457260098704, 0.051625253080093851, 0.051627081568418991, 0.051628942010955088, 0.05163083356259246, 0.051632755236958081, 0.051634705895574333, 0.051636684236439655, 0.051638688782022373, 0.051640717866666949, 0.051642769623412028, 0.051644841970229928, 0.051646932595699156, 0.051649038944132503, 0.051651158200190637, 0.051653287273019523, 0.051655422779963232, 0.051657561029914562, 0.051659698006381247, 0.051661829350357909, 0.051663950343114738, 0.05166605588902852, 0.051668140498604867, 0.051670198271858481, 0.051672222882244462, 0.051674207561355594, 0.05167614508462607, 0.051678027758308834, 0.051679847408018939, 0.051681595369162163, 0.051683262479593546, 0.051684839074875352, 0.051686314986524824, 0.051687679543664093, 0.051688921578496666, 0.051690029436048307, 0.051692424427375171, 0.051693149565303229, 0.051691826058091223, 0.051688059189708341, 0.051681455884283897, 0.051671647001161745, 0.051658313063907398, 0.051641211078565182, 0.051620199173119163, 0.05159525529314328, 0.051566486389725691, 0.051534125555961686, 0.051498516285435565, 0.051460085068939773, 0.051419305398545424, 0.051376657430136516, 0.05133258779313319, 0.051287473348480168, 0.051241591359930401, 0.05119509696857974, 0.05114800744193912, 0.051100191687231039, 0.051051363118907622, 0.051001074219900064, 0.050948712149343107, 0.050893496890269202, 0.050834487674753043, 0.050770612133286284, 0.050700751398674075, 0.050623956917145475, 0.050539975954168315, 0.050450518262513649, 0.050362388931128738, 0.050295667003677332, 0.050306956056057672, 0.050564356025829545, 0.051639116218305088, 0.056032078625807974, 0.081750707028926395, 0.40664071718105099, 0.16757386661282953, 0.091483276250049886, 0.074403778842964535, 0.067805935827317337, 0.06452933025962751, 0.062665793298177827, 0.061518589599502883, 0.060778288598815837, 0.060287391651752668, 0.059957014192656047, 0.059732649108098113, 0.059578486032029629, 0.059469630902575753, 0.059388013685441263, 0.059320144206417846, 0.059255841209581703, 0.059187486797264863, 0.059109562540301169, 0.05901832927465353, 0.058911572260223519, 0.058788369799357559, 0.058648866698062137, 0.058494048659192284, 0.058325522113819556, 0.058145307642163073, 0.057955655345150139, 0.057758888582948961, 0.057557279547794112, 0.057352957090650566, 0.057147844669720706, 0.056943624522917069, 0.056741723230605862, 0.056543313614457476, 0.056349328222533614, 0.056160480277363839, 0.055977288737720017, 0.055800104915889534, 0.0556291388169005, 0.055464483980410234, 0.055306140095150717, 0.055154033024266011, 0.055008032142355417, 0.054867965060674401, 0.054733629925228386, 0.054604805531020095, 0.054481259519235138, 0.054362754924316185, 0.054249055323514025, 0.054139928818957003, 0.054035151055988759, 0.053934507454405242, 0.053837794803092594, 0.053744822344497414, 0.053655412453828259, 0.053569400999084818, 0.053486637451860594, 0.053406984805193063, 0.05333031934330066, 0.053256530298573732, 0.053185519423416372, 0.053117200498224278, 0.053051498791700007, 0.052988350485663728, 0.052927702073340778, 0.052869509737662176, 0.052813738714266666, 0.052760362642560989, 0.052709362907278283, 0.052660727972409595, 0.052614452709108701, 0.052570537719138791, 0.052528988655578479, 0.052489815542816488, 0.052453032098279992, 0.052418655058835709, 0.052386703515335302, 0.052357198259318997, 0.052330161146401995, 0.052305614481334556, 0.052283580430092264, 0.052264080464625454, 0.052247134846028713, 0.052232762151880038, 0.052220978853335785, 0.052211798947230909, 0.052205233647956546, 0.052201291143245405, 0.052199976417227276, 0.052200852908243042, 0.052203481347676113, 0.05220785864294257, 0.052213979667140441, 0.052221837299737402, 0.052231422482695744, 0.05224272429120886, 0.052255730017995626, 0.052270425269885595, 0.05228679407522132, 0.052304819000405456, 0.052324481273735075, 0.052345760914487359, 0.052368636865049209, 0.052393087123721094, 0.052419088875659915, 0.052446618619271627, 0.052475652285191528, 0.052506165344824836, 0.052538132905233799, 0.052571529786956728, 0.052606330581126765, 0.052642509682006365, 0.052680041290784928, 0.052718899386173787, 0.052759057656991362, 0.052800489391556647, 0.052843167318298814, 0.052887063391553309, 0.052932148516065453, 0.052978392203263669, 0.053025762151934504, 0.05307422374554939, 0.053123739458201896, 0.053174268160984028, 0.053225764320711244, 0.053278177083304949, 0.053331449234968582, 0.053385516035678628, 0.053440303921625985, 0.053495729076269968, 0.05355169587382029, 0.053608095204470109, 0.053664802697803778, 0.053721676869719598, 0.053778557229128152, 0.053835262393718157, 0.053891588279214704, 0.053947306443577023, 0.054002162686029406, 0.05405587601987849, 0.054108138156492312, 0.054158613653878189, 0.05420694089472762, 0.054252734062842894, 0.054295586280381648, 0.054335074048064147, 0.054370763093330277, 0.054402215675112504, 0.054428999317504827, 0.054450696849348348, 0.054466917516553935, 0.054477308815903382, 0.054481568583346643, 0.054479456769267243, 0.054470806262030075, 0.054455532093075285, 0.054433638382812871, 0.054405222472404362, 0.054370475830918939, 0.054329681521044212, 0.054283208232589114, 0.054231501128820102, 0.054175069970951374, 0.054114475166872567, 0.054050312512432024, 0.053983197446172748, 0.053913749619512619, 0.053842578501160476, 0.05377027060145826, 0.05369737873808015, 0.053624413589026254, 0.053551837610265517, 0.053480061248027899, 0.053409441258902075, 0.053340280868758583, 0.053272831453778063, 0.053207295409852404, 0.053143829884580822, 0.053082551072371559, 0.053023538811230335, 0.052966841263871238, 0.052912479511161389, 0.052860451929174088, 0.052810738260031284, 0.052763303320035176, 0.052718100315881228, 0.05267507376113844, 0.052634162001191871, 0.052595299366159746, 0.052558417978719879, 0.052523449248085489, 0.052490325083274461, 0.052458978858952746, 0.052429346166021462, 0.052401365377190007, 0.052374978055357992, 0.052350129229970177, 0.052326767563792231, 0.052304845429903303, 0.052284318916199043, 0.052265147772392474, 0.052247295312416488, 0.052230728283276497, 0.052215416709768585, 0.052201333723059046, 0.052188455379891342, 0.052176760478133272, 0.052166230373476341, 0.052156848801330459, 0.052148601707303108, 0.05214147708909761, 0.052135464852183622, 0.052130556681190862, 0.052126745928616325, 0.052124027522127088, 0.052122397891466818, 0.052121854915720599], [0.052552654373380962, 0.052553852378188833, 0.052557446656747317, 0.052563438040242112, 0.052571828043519758, 0.052582619060343519, 0.052595814638720602, 0.052611419838444702, 0.052629441673850356, 0.052649889645833635, 0.052672776368508499, 0.052698118297494885, 0.052725936568873547, 0.052756257960384842, 0.052789115989615512, 0.052824552167872477, 0.052862617433396909, 0.0529033737937789, 0.052946896215248132, 0.052993274806413221, 0.053042617356599042, 0.053095052305049704, 0.053150732238027458, 0.053209838037829617, 0.053272583843082914, 0.05333922302636409, 0.053410055457453795, 0.053485436404341551, 0.053565787538126283, 0.05365161066478201, 0.053743505024990736, 0.053842189310780414, 0.053948529986907107, 0.054063578141365601, 0.054188618026215725, 0.054325231852528952, 0.054475387542673621, 0.054641559473557699, 0.05482689754635317, 0.055035468570734131, 0.055272608467615419, 0.055545448912144371, 0.055863727044555368, 0.056241070781755678, 0.056697115977974964, 0.057261148461972194, 0.057978701180386616, 0.05892427468574641, 0.060227834045047543, 0.062135688645304943, 0.065169621038691894, 0.070623812206413589, 0.082583942513153305, 0.12054999016362176, 0.35782553375173221, 0.15766844538203667, 0.065721736108420206, 0.053925303823701712, 0.051258261754252125, 0.050575730899103367, 0.05047700607285114, 0.050574754093708298, 0.050738848921005227, 0.050920281131182313, 0.051099467610940877, 0.051268525241804551, 0.051424490306799832, 0.051566517065375669, 0.05169465999717357, 0.051809331489548541, 0.05191106310785714, 0.052000408394597526, 0.052077912717705843, 0.05214411421097933, 0.052199557567540043, 0.052244810972099619, 0.052280480817701099, 0.052307221306942868, 0.052325737611226317, 0.052336782398618865, 0.052341146405493984, 0.052339644354464754, 0.052333097901918708, 0.052322317426264552, 0.052308084361918208, 0.052291135492790512, 0.052272150212129609, 0.052251741308592142, 0.052230449418295931, 0.052208740937381738, 0.0521870089445007, 0.05216557654171243, 0.05214470197382897, 0.052124584909498235, 0.05210537333857912, 0.052087170637529691, 0.052070042459749555, 0.052054023208398498, 0.052039121937435831, 0.052025327598837351, 0.052012613609454798, 0.052000941750998585, 0.051990265443356561, 0.051980532447509976, 0.051971687062221356, 0.051963671880711777, 0.05195642917162014, 0.051949901944112496, 0.05194403475121593, 0.051938774279074194, 0.051934069763409522, 0.051929873268369758, 0.051926139857342214, 0.051922827680325009, 0.051919897998088417, 0.051917315159620087, 0.051915046546185117, 0.051913062492684667, 0.051911336194810302, 0.051909843608696098, 0.051908563348313418, 0.051907476584677141, 0.051906566949995736, 0.051905820449147641, 0.051905225380283825, 0.051904772265894225, 0.051904453795320382, 0.051904264779419007, 0.051904202117865873, 0.051904210155825498, 0.051904234277288228, 0.051904274504991826, 0.051904330876785178, 0.051904403445557711, 0.051904492279138549, 0.051904597460165694, 0.05190471908592309, 0.051904857268143936, 0.051905012132778747, 0.05190518381972508, 0.051905372482516407, 0.05190557828796722, 0.051905801415769441, 0.051906042058038164, 0.051906300418799491, 0.051906576713417273, 0.051906871167951153, 0.051907184018441015, 0.051907515510108748, 0.051907865896469875, 0.05190823543834678, 0.051908624402771331, 0.051909033061767453, 0.051909461691000192, 0.051909910568277574, 0.051910379971889631, 0.051910870178767408, 0.05191138146244343, 0.051911914090791419, 0.051912468323522636, 0.051913044409412225, 0.051913642583226637, 0.051914263062319776, 0.051914906042861877, 0.051915571695661134, 0.051916260161533778, 0.051916971546172495, 0.051917705914458066, 0.051918463284152915, 0.051919243618907381, 0.051920046820501664, 0.051920872720238133, 0.051921721069387756, 0.051922591528583049, 0.051923483656037932, 0.051924396894458921, 0.051925330556497763, 0.051926283808574905, 0.051927255652884224, 0.051928244907365258, 0.051929250183401603, 0.051930269860975514, 0.051931302060972295, 0.051932344614291484, 0.051933395027374818, 0.051934450443712477, 0.051935507600829899, 0.051936562782192455, 0.051937611763389548, 0.051938649751874136, 0.051939671319434499, 0.051940670326461741, 0.051941639836947856, 0.051942572022999033, 0.05194345805747682, 0.051944287993184506, 0.051945050626784825, 0.051945733345376957, 0.051946321953354316, 0.05194680047681921, 0.051947150942426391, 0.051947353127065513, 0.051947384274262882, 0.051947218772571205, 0.051946827790526423, 0.051946178861964065, 0.051945235414609568, 0.051943956233889088, 0.051942294852865264, 0.05194019885812079, 0.051937609100370312, 0.051934458797698063, 0.05193067251882845, 0.051926165034117663, 0.051920840023652791, 0.051914588636030629, 0.051907287899854423, 0.051898799005722439, 0.051888965504521004, 0.051877611516715529, 0.051864540131683033, 0.051849532321393853, 0.051832346943789721, 0.051812722848668419, 0.051790384870638313, 0.051765056877393932, 0.051736487572390799, 0.051704499492297495, 0.051669080777350135, 0.051630557499790099, 0.051589922058516077, 0.05154947498286646, 0.051514124954377419, 0.051494150214807105, 0.051511437416382998, 0.051614752770319593, 0.051921284815123397, 0.052747056641633483, 0.055108544814538932, 0.063344924497723207, 0.10704641750934593, 0.28258961927691983, 0.12619431737330708, 0.082903163837195509, 0.070210551832779883, 0.064798883951407052, 0.061953630514517813, 0.060256524389678434, 0.059158799715831129, 0.058409879378761735, 0.057881335331491028, 0.057501638953883716, 0.057228520180495783, 0.057036030989494939, 0.056908027043094153, 0.05683472097051348, 0.056810840851511758, 0.056834720970513515, 0.056908027043094188, 0.057036030989494918, 0.057228520180495755, 0.057501638953883841, 0.057881335331490563, 0.05840987937876254, 0.059158799715831475, 0.060256524389678809, 0.061953630514521484, 0.064798883951408509, 0.070210551832783283, 0.082903163837188015, 0.12619431737330092, 0.28258961927692083, 0.10704641750932306, 0.063344924497726898, 0.055108544814540819, 0.052747056641632352, 0.051921284815123057, 0.051614752770319544, 0.051511437416383019, 0.051494150214807098, 0.051514124954377453, 0.051549474982866487, 0.051589922058516063, 0.05163055749979012, 0.051669080777350142, 0.051704499492297475, 0.051736487572390882, 0.051765056877393967, 0.051790384870638313, 0.051812722848668467, 0.051832346943789791, 0.051849532321393839, 0.051864540131682985, 0.051877611516715494, 0.051888965504521024, 0.051898799005722439, 0.051907287899854451, 0.051914588636030656, 0.051920840023652756, 0.051926165034117705, 0.051930672518828484, 0.051934458797698022, 0.051937609100370305, 0.051940198858120797, 0.051942294852865278, 0.051943956233889074, 0.051945235414609575, 0.051946178861964093, 0.051946827790526375, 0.051947218772571163, 0.051947384274262903, 0.051947353127065506, 0.051947150942426357, 0.051946800476819238, 0.051946321953354323, 0.051945733345376909, 0.051945050626784776, 0.051944287993184464, 0.051943458057476827, 0.051942572022999019, 0.051941639836947898, 0.051940670326461769, 0.051939671319434534, 0.051938649751874136, 0.051937611763389534, 0.051936562782192428, 0.051935507600829933, 0.051934450443712463, 0.051933395027374797, 0.051932344614291484, 0.051931302060972337, 0.051930269860975556, 0.05192925018340161, 0.051928244907365237, 0.051927255652884224, 0.051926283808574877, 0.05192533055649777, 0.051924396894458963, 0.051923483656037918, 0.051922591528583036, 0.051921721069387736, 0.05192087272023814, 0.051920046820501657, 0.051919243618907387, 0.051918463284152921, 0.051917705914458025, 0.051916971546172495, 0.051916260161533771, 0.051915571695661134, 0.051914906042861843, 0.05191426306231979, 0.05191364258322665, 0.051913044409412239, 0.051912468323522594, 0.051911914090791413, 0.051911381462443375, 0.051910870178767415, 0.051910379971889645, 0.051909910568277581, 0.051909461691000171, 0.051909033061767425, 0.051908624402771296, 0.051908235438346759, 0.051907865896469917, 0.051907515510108714, 0.051907184018441049, 0.051906871167951209, 0.051906576713417266, 0.051906300418799498, 0.051906042058038185, 0.051905801415769497, 0.051905578287967206, 0.051905372482516442, 0.051905183819725087, 0.051905012132778733, 0.05190485726814395, 0.051904719085923069, 0.051904597460165701, 0.051904492279138549, 0.051904403445557669, 0.051904330876785185, 0.051904274504991847, 0.051904234277288269, 0.051904210155825498, 0.051904202117865818, 0.051904206136903067, 0.051904218198496624, 0.051904238316093802, 0.051904266512111448, 0.051904302817943317, 0.051904347273970475, 0.051904399929573852, 0.051904460843150264, 0.051904530082131105, 0.051904607723003329, 0.051904693851333533, 0.051904788561794236, 0.051904891958193131, 0.051905004153503714, 0.051905125269899446, 0.051905255438788794, 0.051905394800853363, 0.051905543506086754, 0.051905701713836148, 0.051905869592844149, 0.051906047321293267, 0.051906235086850112, 0.051906433086711154, 0.051906641527648671, 0.051906860626057108, 0.051907090607999071, 0.051907331709250867, 0.051907584175347583, 0.051907848261626373, 0.05190812423326828, 0.051908412365337983, 0.051908712942820651, 0.051909026260655508, 0.051909352623765448, 0.05190969234708244, 0.051910045755567041, 0.051910413184222438, 0.051910794978100978, 0.051911191492303353, 0.051911603091968885, 0.051912030152255505, 0.051912473058309462, 0.051912932205222043, 0.051913407997973213, 0.051913900851359843, 0.051914411189907708, 0.051914939447765159, 0.051915486068576537, 0.051916051505333932, 0.051916636220204516, 0.051917240684332081, 0.051917865377609507, 0.051918510788420094, 0.051919177413344647, 0.051919865756832023, 0.051920576330828673, 0.051921309654365436, 0.051922066253095901, 0.051922846658784307, 0.051923651408737455, 0.051924481045176669, 0.051925336114544689, 0.051926217166742304, 0.051927124754289677, 0.051928059431405389, 0.051929021752997968, 0.051930012273562316, 0.051931031545974546, 0.051932080120176333, 0.051933158541742346, 0.051934267350320411, 0.051935407077936001, 0.051936578247151012, 0.051937781369066925, 0.051939016941160134, 0.051940285444938929, 0.051941587343409798, 0.051942923078338969, 0.051944293067297011, 0.051945697700471069, 0.051947137337230498, 0.051948612302429746, 0.051950122882431983, 0.051951669320837425, 0.0519532518138974, 0.051954870505597064, 0.051956525482387383, 0.051958216767547805, 0.051959944315159094, 0.05196170800366802, 0.051963507629022618, 0.051965342897359039, 0.051967213417220492, 0.051969118691288181, 0.05197105810760784, 0.051973030930291986, 0.051975036289685021, 0.051977073171974919, 0.051979140408240587, 0.051981236662927012, 0.05198336042174112, 0.051985509978969065, 0.051987683424216787, 0.051989878628585326, 0.051992093230294828, 0.051994324619782414, 0.051996569924306603, 0.05199882599209929, 0.052001089376120135, 0.052003356317478946, 0.052005622728606857, 0.052007884176270273, 0.052010135864541729, 0.052012372617856593, 0.052014588864308271, 0.052016778619351313, 0.05201893547010894, 0.052021052560502087, 0.05202312257744298, 0.052025137738361898, 0.052027089780359997, 0.052028969951308714, 0.052030769003238067, 0.052032477188382609, 0.052034084258271364, 0.052035579466269945, 0.052036951573993066, 0.052038188862017283, 0.052040967758925902, 0.052042069501107263, 0.052041115142702661, 0.052037710916497927, 0.052031465930912388, 0.052022014491706264, 0.0520090417339856, 0.051992310230419891, 0.051971684353403616, 0.051947148703304177, 0.051918817130915326, 0.051886929891487285, 0.051851838147555666, 0.051813977027352874, 0.051773830246947157, 0.051731890454305554, 0.051688619688900372, 0.051644413689079349, 0.051599572486581521, 0.051554278196387728, 0.051508579520862199, 0.051462381509880362, 0.05141543869058296, 0.051367349857514753, 0.05131755368229951, 0.051265326154115658, 0.051209784503320116, 0.051149909647121877, 0.051084614943629113, 0.051012924260283629, 0.050934405056729616, 0.05085020740954195, 0.050765604830801926, 0.050696507652667928, 0.050687493700611076, 0.050867758378036393, 0.051656631549661915, 0.054743619765019104, 0.070405586762646105, 0.24285922221883249, 0.23607978838485613, 0.10226884602061506, 0.078325779404579271, 0.069968298055575598, 0.066029461477048357, 0.063859268001366792, 0.06255207226965788, 0.061722596953880042, 0.06118059774034755, 0.060821091271032003, 0.060580773423105222, 0.060418569755366761, 0.060306180410412191, 0.060223191017388898, 0.060154432274550439, 0.060088506583317595, 0.060016936043487894, 0.059933638165660434, 0.05983456463809278, 0.059717410772660198, 0.05958134727537915, 0.059426754060848005, 0.059254953396453924, 0.059067949443464302, 0.058868185125647843, 0.058658326913075862, 0.058441085221345078, 0.058219074172741275, 0.057994710579164797, 0.057770148895374344, 0.057547246860339192, 0.057327555589980761, 0.05711232781410315, 0.056902538494476608, 0.056698912953451724, 0.056501958664949337, 0.056311997858516954, 0.056129198970563121, 0.055953605702641955, 0.055785163007103969, 0.055623739728842193, 0.055469147911796975, 0.055321158956982565, 0.055179516920428981, 0.055043949286474519, 0.054914175561958482, 0.054789914023536092, 0.054670886923453746, 0.054556824425548052, 0.054447467507583391, 0.054342570031202242, 0.054241900148406193, 0.054145241184484931, 0.054052392111939469, 0.053963167708198631, 0.053877398471551971, 0.053794930354392277, 0.053715624360210254, 0.053639356040437791, 0.053566014918848277, 0.053495503864490507, 0.053427738428771694, 0.05336264615809224, 0.053300165890164924, 0.053240247039670563, 0.05318284887705458, 0.053127939802968524, 0.053075496619990087, 0.053025503802749806, 0.052977952767385456, 0.052932841141282785, 0.052890172034284588, 0.052849953312932164, 0.052812196879792092, 0.052776917960481992, 0.052744134401608488, 0.052713865983433819, 0.052686133751654436, 0.052660959373194219, 0.052638364521324074, 0.052618370295732984, 0.05260099668333762, 0.052586262065632272, 0.052574182778233315, 0.052564772727945741, 0.052558043072203985, 0.052554001965093584, 0.052552654373380962, 0.052553552774119446, 0.052556246937298219, 0.052560733754390021, 0.052567008072995566, 0.052575062739132788, 0.052584888655579767, 0.052596474855423243, 0.052609808589729509, 0.05262487542803463, 0.052641659370139635, 0.052660142967490269, 0.052680307452231984, 0.052702132871845171, 0.052725598227089554, 0.052750681610818397, 0.052777360345050185, 0.052805611113525129, 0.052835410086792489, 0.052866733036698949, 0.05289955543695133, 0.052933852546210892, 0.052969599469943049, 0.05300677119697382, 0.053045342606411208, 0.053085288440248436, 0.053126583236589274, 0.053169201218021427, 0.053213116129206491, 0.053258301017263768, 0.053304727948013268, 0.053352367650616433, 0.053401189082644532, 0.053451158907140313, 0.05350224087285723, 0.053554395088638962, 0.053607577182892448, 0.053661737339423601, 0.053716819201661832, 0.053772758638642906, 0.053829482368228938, 0.053886906436125974, 0.053944934553546521, 0.054003456302115005, 0.054062345222096214, 0.054121456809499785, 0.054180626459305277, 0.054239667406102525, 0.054298368729876464, 0.054356493513288633, 0.054413777257151831, 0.054469926682012115, 0.054524619064511101, 0.05457750227563446, 0.054628195701573776, 0.054676292233691366, 0.054721361508466571, 0.054762954557603716, 0.054800609989188231, 0.054833861760188514, 0.054862248517527808, 0.0548853243805386, 0.054902670916069166, 0.054913909926600071, 0.054918716542821454, 0.054916831999588488, 0.054908075394008604, 0.054892353692133473, 0.054869669278722638, 0.0548401244394068, 0.054803922324869442, 0.054761364161865618, 0.054712842726823668, 0.054658832358850086, 0.054599876031727911, 0.054536570202117864, 0.054469548282627046, 0.054399463641747949, 0.054326973006518904, 0.054252721046859215, 0.054177326769582861, 0.054101372166411227, 0.054025393366208173, 0.053949874357183999, 0.0538752431854468, 0.053801870411763812, 0.053730069522745158, 0.053660098944949795, 0.053592165296099697, 0.053526427519980442, 0.053463001583213952, 0.053401965455657771, 0.053343364145406497, 0.053287214609261675, 0.053233510406505501, 0.053182226005579238, 0.053133320688655367, 0.053086742027762646, 0.053042428928328153, 0.053000314252384162, 0.052960327045055836, 0.052922394395201904, 0.052886442965077433, 0.052852400225410504, 0.052820195432008707, 0.052789760378491181, 0.052761029957426903, 0.052733942559389645, 0.052708440336469771, 0.052684469353799113, 0.052661979649763956, 0.052640925222891322, 0.052621263960929601, 0.052602957525436297, 0.052585971203228485, 0.052570273734339409, 0.052555837124643012, 0.052542636450029968, 0.05253064965793118, 0.052519857371054822, 0.052510242697416463, 0.052501791050072716, 0.052494489979404563, 0.052488329020309615, 0.052483299556254262, 0.052479394701776073, 0.052476609204714905, 0.052474939369178686, 0.052474382999995468], [0.052946391326237748, 0.052947620259873165, 0.052951307373617487, 0.052957453646574539, 0.052966060846173578, 0.052977131732593795, 0.052990670347112009, 0.053006682386714278, 0.053025175668239923, 0.053046160686473012, 0.053069651272021776, 0.053095665356586615, 0.053124225855425013, 0.053155361679572716, 0.053189108893810309, 0.053225512040652324, 0.053264625656011227, 0.053306516008934712, 0.053351263106320518, 0.053398963014304385, 0.053449730561756656, 0.053503702508967139, 0.053561041287378049, 0.053621939445908352, 0.05368662497837022, 0.05375536775808723, 0.05382848737483379, 0.05390636276238877, 0.05398944413216096, 0.054078267903823099, 0.054173475568960412, 0.054275837770420228, 0.054386285377213447, 0.05450595005848894, 0.054636217930483316, 0.054778801461475915, 0.054935837291515452, 0.055110021495991861, 0.055304800030254765, 0.055524642303367087, 0.055775443109623568, 0.056065128342905647, 0.056404594630042125, 0.056809216324052378, 0.057301357849580105, 0.057914757467894283, 0.058702604870906193, 0.059753445840671021, 0.061225194147658639, 0.063425983744810413, 0.067035444691007848, 0.073842772026144199, 0.090071474366838905, 0.15121866593158492, 0.46828197050210929, 0.10735046098082744, 0.060673575145158538, 0.05316200548912435, 0.051327956693542356, 0.050877266624098576, 0.050856400312241985, 0.050982865562156872, 0.05115777170779106, 0.051342973511935834, 0.051523075167262018, 0.0516919149188639, 0.051847257616063722, 0.051988560963111094, 0.052115993349078849, 0.052229995126020883, 0.052331087583364591, 0.05241979857746544, 0.052496643683032002, 0.052562132895776964, 0.052616787407852264, 0.052661158032412968, 0.05269584052868647, 0.052721485216556369, 0.052738799705700612, 0.052748544651726514, 0.052751523306889953, 0.05274856626463946, 0.052740513181259302, 0.052728193380791648, 0.052712407128695647, 0.052693909046134579, 0.052673394703928234, 0.052651490962977977, 0.052628750186788684, 0.052605648091636592, 0.052582584746679858, 0.052559888093223296, 0.052537819306304738, 0.052516579350331133, 0.052496316158415865, 0.052477131969077266, 0.052459090465391878, 0.052442223467442484, 0.052426537021098549, 0.05241201680121297, 0.052398632804679553, 0.052386343349880224, 0.052375098426270993, 0.052364842453988536, 0.052355516521099078, 0.052347060167831125, 0.052339412784817886, 0.052332514687541597, 0.052326307922987779, 0.052320736857782851, 0.052315748590364849, 0.052311293223364669, 0.052307324026556086, 0.052303797515560559, 0.052300673466988516, 0.052297914886843357, 0.05229548794576102, 0.052293361891939914, 0.052291508950375376, 0.052289904215177707, 0.052288525540264814, 0.052287353432524539, 0.052286370950587323, 0.052285563611593033, 0.052284919307743469, 0.052284428233969601, 0.0522840828276828, 0.052283877721304647, 0.052283809708054255, 0.052283818597356105, 0.052283845273846621, 0.052283889763268879, 0.052283952108486714, 0.05228403236942325, 0.052284130622973012, 0.05228424696288772, 0.052284381499633742, 0.052284534360219834, 0.05228470568799358, 0.052284895642403476, 0.052285104398724337, 0.052285332147743606, 0.052285579095403052, 0.052285845462394821, 0.052286131483704139, 0.052286437408096235, 0.052286763497539898, 0.05228711002656275, 0.052287477281529965, 0.052287865559838984, 0.052288275169022132, 0.052288706425745887, 0.052289159654697139, 0.052289635187343718, 0.052290133360556143, 0.052290654515075113, 0.052291198993808588, 0.052291767139940146, 0.052292359294827451, 0.052292975795668883, 0.052293616972912495, 0.052294283147379342, 0.052294974627070001, 0.052295691703619085, 0.052296434648359418, 0.052297203707952801, 0.05229799909953866, 0.052298821005347183, 0.05229966956671795, 0.052300544877456071, 0.052301446976452164, 0.052302375839482586, 0.052303331370096955, 0.052304313389488766, 0.052305321625232548, 0.05230635569875694, 0.052307415111407365, 0.0523084992289337, 0.052309607264218946, 0.052310738258041563, 0.052311891057637991, 0.052313064292803822, 0.052314256349236844, 0.052315465338790432, 0.052316689066259643, 0.052317924992276471, 0.052319170191833332, 0.052320421307891267, 0.052321674499456947, 0.052322925383430481, 0.052324168969430575, 0.052325399586695645, 0.05232661080203601, 0.052327795327669201, 0.052328944917606049, 0.052330050251069252, 0.052331100801205954, 0.052332084687110821, 0.052332988506883921, 0.052333797149121779, 0.052334493579854924, 0.05233505860150979, 0.052335470579969172, 0.052335705135228568, 0.052335734790491271, 0.052335528573800118, 0.052335051565469977, 0.052334264383661587, 0.052333122599437322, 0.052331576071589142, 0.05232956819049181, 0.052327035019310943, 0.052323904320276268, 0.052320094453730835, 0.052315513138819575, 0.052310056067871404, 0.052303605373232781, 0.052296027957979579, 0.052287173724673265, 0.052276873776063083, 0.052264938730143526, 0.052251157409589875, 0.052235296367835186, 0.052217101064161386, 0.052196300112815321, 0.052172615118974398, 0.052145780581614114, 0.052115581980633804, 0.052081927069885375, 0.052044978914727813, 0.052005406651812094, 0.051964868068287526, 0.051926967533104412, 0.051899238794394412, 0.051897479354310841, 0.051955918562314234, 0.052153373265380248, 0.052689328004504904, 0.054146261887302087, 0.058649190537394237, 0.077400521277192297, 0.20172790872422494, 0.19412824748711566, 0.098434796122800317, 0.076066183123927877, 0.067885909497448049, 0.063946528333184302, 0.061722367255807126, 0.060335726817252917, 0.059413846687902575, 0.058775307832828208, 0.058322872245528019, 0.058000725097105528, 0.057775355739568213, 0.057626259441846919, 0.05754115364942762, 0.057513473782251641, 0.057541153649427669, 0.057626259441846947, 0.057775355739568157, 0.058000725097105535, 0.058322872245528186, 0.058775307832827695, 0.05941384668790356, 0.060335726817253361, 0.061722367255807549, 0.063946528333189159, 0.067885909497449992, 0.076066183123933609, 0.098434796122785703, 0.19412824748710403, 0.20172790872431362, 0.077400521277183679, 0.058649190537395965, 0.054146261887303197, 0.052689328004504245, 0.052153373265380026, 0.051955918562314178, 0.051897479354310862, 0.051899238794394412, 0.051926967533104447, 0.051964868068287567, 0.052005406651812074, 0.052044978914727841, 0.052081927069885382, 0.052115581980633777, 0.052145780581614197, 0.052172615118974412, 0.052196300112815328, 0.052217101064161407, 0.052235296367835242, 0.052251157409589861, 0.052264938730143463, 0.052276873776063049, 0.052287173724673279, 0.052296027957979573, 0.052303605373232823, 0.052310056067871431, 0.052315513138819533, 0.052320094453730877, 0.052323904320276275, 0.052327035019310915, 0.05232956819049181, 0.052331576071589135, 0.052333122599437343, 0.052334264383661566, 0.052335051565470012, 0.052335528573800152, 0.052335734790491195, 0.052335705135228526, 0.052335470579969193, 0.052335058601509783, 0.052334493579854882, 0.052333797149121779, 0.052332988506883914, 0.052332084687110765, 0.052331100801205913, 0.052330050251069175, 0.052328944917606056, 0.052327795327669194, 0.052326610802036058, 0.052325399586695645, 0.052324168969430596, 0.052322925383430481, 0.052321674499456933, 0.052320421307891232, 0.052319170191833374, 0.052317924992276464, 0.052316689066259602, 0.052315465338790439, 0.052314256349236893, 0.052313064292803871, 0.052311891057637998, 0.052310738258041542, 0.052309607264218932, 0.052308499228933672, 0.052307415111407372, 0.052306355698756982, 0.052305321625232555, 0.052304313389488731, 0.052303331370096962, 0.052302375839482593, 0.052301446976452184, 0.052300544877456091, 0.052299669566717936, 0.052298821005347149, 0.05229799909953866, 0.052297203707952815, 0.052296434648359418, 0.052295691703619022, 0.052294974627070015, 0.05229428314737937, 0.052293616972912516, 0.052292975795668842, 0.052292359294827451, 0.052291767139940097, 0.052291198993808581, 0.052290654515075134, 0.052290133360556171, 0.052289635187343683, 0.052289159654697111, 0.052288706425745866, 0.052288275169022118, 0.052287865559839018, 0.052287477281529958, 0.052287110026562784, 0.05228676349753994, 0.052286437408096229, 0.052286131483704132, 0.052285845462394835, 0.052285579095403108, 0.052285332147743585, 0.052285104398724372, 0.052284895642403448, 0.052284705687993593, 0.052284534360219834, 0.052284381499633714, 0.052284246962887707, 0.052284130622973025, 0.052284032369423222, 0.052283952108486728, 0.052283889763268913, 0.052283845273846649, 0.052283818597356105, 0.052283809708054213, 0.052283814152733268, 0.052283827491401431, 0.0522838497379534, 0.05228388091555166, 0.052283921056634111, 0.052283970202924406, 0.052284028405444785, 0.052284095724532201, 0.05228417222985722, 0.052284258000445283, 0.052284353124701026, 0.0522844577004348, 0.052284571834892171, 0.052284695644785051, 0.05228482925632582, 0.052284972805263029, 0.052285126436919391, 0.052285290306231337, 0.052285464577790562, 0.052285649425886191, 0.052285845034549375, 0.052286051597597645, 0.052286269318680662, 0.052286498411326279, 0.052286739098986637, 0.052286991615084065, 0.05228725620305618, 0.052287533116400768, 0.052287822618718158, 0.05228812498375246, 0.052288440495430417, 0.052288769447896975, 0.0522891121455476, 0.052289468903056205, 0.052289840045398696, 0.052290225907870351, 0.052290626836097184, 0.052291043186039783, 0.052291475323989173, 0.052291923626553403, 0.052292388480633327, 0.052292870283387846, 0.052293369442185211, 0.052293886374541111, 0.052294421508040395, 0.052294975280242129, 0.052295548138565226, 0.052296140540153593, 0.052296752951718255, 0.052297385849354436, 0.052298039718331905, 0.052298715052854938, 0.052299412355790359, 0.052300132138360121, 0.052300874919795688, 0.052301641226950676, 0.052302431593868888, 0.052303246561302488, 0.052304086676178217, 0.052304952491005835, 0.052305844563224631, 0.052306763454483318, 0.052307709729847253, 0.052308683956928351, 0.052309686704930601, 0.052310718543605396, 0.052311780042109429, 0.052312871767758264, 0.052313994284666765, 0.052315148152269633, 0.052316333923711593, 0.052317552144098819, 0.052318803348601416, 0.052320088060396577, 0.052321406788440779, 0.052322760025059735, 0.052324148243343742, 0.052325571894334802, 0.052327031403992551, 0.052328527169923728, 0.052330059557861269, 0.052331628897876237, 0.052333235480306349, 0.052334879551385466, 0.052336561308554089, 0.05233828089543522, 0.052340038396455131, 0.052341833831091443, 0.052343667147727715, 0.05234553821709715, 0.052347446825293589, 0.052349392666332296, 0.052351375334240863, 0.052353394314660989, 0.052355448975945719, 0.052357538559732526, 0.052359662170981314, 0.052361818767461134, 0.052364007148676818, 0.052366225944228621, 0.052368473601599651, 0.052370748373373362, 0.052373048303885172, 0.05237537121532132, 0.052377714693282264, 0.052380076071836958, 0.052382452418104339, 0.052384840516405892, 0.052387236852046583, 0.052389637594793495, 0.052392038582136237, 0.052394435302425976, 0.052396822878011472, 0.052399196048504022, 0.052401549154327196, 0.052403876120724571, 0.052406170442424557, 0.052408425169182378, 0.052410632892444457, 0.052412785733405638, 0.052414875332753519, 0.052416892842420376, 0.052418828919684801, 0.052420673723990119, 0.052422416916863175, 0.052424047665337425, 0.052425554649293347, 0.052426926073138716, 0.052430102277939733, 0.052431592668852264, 0.052431017743598603, 0.052427984252728918, 0.05242210304972976, 0.052413011470169392, 0.052400398907338393, 0.052384033258005037, 0.052363785055947902, 0.052339645674367066, 0.052311736208457082, 0.052280304649481829, 0.052245710608382144, 0.052208398788670909, 0.052168864163327763, 0.052127612931683595, 0.052085123565872048, 0.05204181161892768, 0.05199800071298389, 0.051953900634602743, 0.051909592101776821, 0.051865016794161854, 0.051819970785407024, 0.051774099630714096, 0.051726894106517596, 0.051677687205590718, 0.051625656124146074, 0.05156983926162477, 0.051509191499578375, 0.051442730306623538, 0.051369893063582327, 0.051291391733995981, 0.051211282527329628, 0.051142185068130272, 0.051119384117672459, 0.05124308545996633, 0.051825834576882925, 0.054040580834848667, 0.064101057933285077, 0.14910774252531289, 0.36157747804111406, 0.11849076876226169, 0.083383447212114603, 0.072562768210898632, 0.067765188848955243, 0.065214780814118495, 0.063714970254062239, 0.0627804540844452, 0.06217939932336574, 0.061786930221083378, 0.061529091458291031, 0.061358526887907529, 0.061242910634657033, 0.061159071887534583, 0.061089872992814098, 0.061022494837672497, 0.060947460644826298, 0.060858042358184011, 0.0607498520382155, 0.060620508802664598, 0.060469325418134462, 0.060296992739679499, 0.06010526130491961, 0.059896630762382483, 0.059674061777770945, 0.059440723841842125, 0.05919978818371819, 0.058954269690642443, 0.058706916773371386, 0.058460144332823351, 0.058216002680648672, 0.057976174356587716, 0.057741990963104679, 0.057514463026000773, 0.057294317140012943, 0.057082036000902191, 0.056877898181603499, 0.05668201558227226, 0.056494367336392584, 0.056314829591460759, 0.05614320102930595, 0.055979224283185795, 0.055822603582630533, 0.055673019045145884, 0.055530138063196885, 0.055393624226274515, 0.055263144186698657, 0.05513837283501722, 0.055018997103690709, 0.054904718670847147, 0.054795255791970053, 0.054690344447844902, 0.054589738962513568, 0.054493212215357328, 0.054400555546476104, 0.054311578433783855, 0.054226108003180964, 0.054143988419278866, 0.054065080192942074, 0.053989259432941764, 0.053916417061901811, 0.053846458011128681, 0.0537793004045794, 0.053714874738906619, 0.053653123064042914, 0.053593998166981904, 0.053537462760176374, 0.053483488675182864, 0.05343205606176319, 0.053383152592538362, 0.053336772673419366, 0.053292916660353885, 0.053251590083399039, 0.05321280287970457, 0.053176568637632746, 0.053142903854916893, 0.053111827214435317, 0.053083358881809241, 0.053057519829611106, 0.053034331193430755, 0.053013813665403954, 0.052995986931006774, 0.052980869154961301, 0.052968476521971029, 0.052958822837688477, 0.052951919194847194, 0.052947773708840087, 0.052946391326237748, 0.052947312920107695, 0.05295007665720395, 0.052954679412914651, 0.052961116009183719, 0.052969379258513534, 0.052979460024682887, 0.052991347299307393, 0.053005028293128496, 0.053020488540691607, 0.053037712016855157, 0.053056681263362264, 0.053077377523509731, 0.053099780882760135, 0.053123870412958692, 0.053149624317643342, 0.053177020075756323, 0.053206034580897912, 0.053236644273072335, 0.053268825259690449, 0.053302553422384033, 0.053337804505956106, 0.053374554185539651, 0.053412778107743572, 0.053452451901245354, 0.053493551151917, 0.053536051337157844, 0.05357992771364898, 0.053625155152235968, 0.053671707913095612, 0.053719559353763338, 0.053768681561993319, 0.053819044904829826, 0.053870617484710254, 0.05392336449293765, 0.053977247450535018, 0.054032223326379025, 0.054088243522726794, 0.054145252718922329, 0.054203187565352279, 0.054261975221812316, 0.054321531737569172, 0.054381760274819321, 0.054442549183239847, 0.05450376994120644, 0.054565274989315883, 0.05462689549436766, 0.054688439097114849, 0.054749687714953962, 0.054810395491111163, 0.054870287004339963, 0.054929055876784143, 0.054986363941064147, 0.055041841148793805, 0.055095086418900402, 0.055145669631932515, 0.055193134972057217, 0.055237005797467334, 0.055276791178410341, 0.055311994176830595, 0.055342121851156903, 0.055366696855123264, 0.055385270365190573, 0.055397435925672818, 0.055402843656734091, 0.055401214144148649, 0.055392351239163654, 0.055376152959563454, 0.055352619713191574, 0.055321859170261126, 0.055284087289153662, 0.05523962524010375, 0.055188892250396408, 0.055132394684459587, 0.055070711940389545, 0.055004479960895934, 0.054934373298124214, 0.054861086725480609, 0.054785317354679612, 0.054707748103369501, 0.054629033187249008, 0.054549786104855905, 0.054470570368225724, 0.054391893030520701, 0.054314200889266549, 0.054237879111189734, 0.054163251935552451, 0.054090585065650794, 0.054020089347212794, 0.053951925350046871, 0.053886208506993959, 0.053823014513998492, 0.053762384750077004, 0.053704331530811014, 0.053648843059978031, 0.053595887988761311, 0.05354541952954462, 0.053497379101387965, 0.053451699507288876, 0.05340830766005316, 0.053367126884963208, 0.053328078834456526, 0.053291085053653271, 0.053256068236651029, 0.053222953212762894, 0.053191667699896673, 0.053162142859532552, 0.053134313684600198, 0.053108119248249534, 0.053083502838234313, 0.053060411998504156, 0.053038798496706424, 0.053018618233671724, 0.052999831108613581, 0.052982400851711048, 0.052966294833947068, 0.052951483862528931, 0.052937941968891303, 0.052925646195155149, 0.052914576383961728, 0.05290471497579198, 0.052896046817200414, 0.052888558982817434, 0.052882240613482394, 0.052877082772456202, 0.05287307832130056, 0.052870221816698058, 0.052868509429214602, 0.052867938884751969], [0.053378932633542778, 0.053380194200243987, 0.053383979265288595, 0.053390288966018794, 0.053399125340053706, 0.053410491539500705, 0.053424392133205087, 0.053440833499594158, 0.053459824313679113, 0.053481376133023978, 0.053505504089033991, 0.053532227691824405, 0.053561571759320394, 0.053593567484219062, 0.05362825365616259, 0.053665678061123323, 0.053705899085840204, 0.053748987562483891, 0.053795028897995069, 0.053844125544318215, 0.053896399880779634, 0.053951997599193731, 0.054011091707302804, 0.05407388729883577, 0.054140627281470372, 0.054211599311099687, 0.054287144257391097, 0.054367666629345626, 0.054453647531571156, 0.054545660918614888, 0.054644394190312404, 0.054750674562530806, 0.054865503211385808, 0.054990100013299403, 0.055125962928548447, 0.055274947930271351, 0.055439378242693037, 0.055622196165138381, 0.055827178045950089, 0.056059245053585921, 0.056324923026380813, 0.056633041107273054, 0.056995825631708151, 0.05743067347498472, 0.057963145905839189, 0.058632271261023758, 0.059500493903037688, 0.060673704980209631, 0.062345303168569774, 0.064904874447540881, 0.069251074152816783, 0.07791562735529918, 0.1007714363930856, 0.20707430771499566, 0.35083642831734807, 0.083593699751025, 0.05774682680365608, 0.052792282462731419, 0.051526060278287329, 0.051244938772863215, 0.051283380595337422, 0.051432249875583383, 0.05161570243022582, 0.051803902148410262, 0.051984735074275139, 0.052153409361958461, 0.052308272900805731, 0.052449023901345086, 0.052575916762664765, 0.052689407377298519, 0.052790001357112731, 0.052878198718764736, 0.052954484627126895, 0.05301934109041697, 0.053073266384339887, 0.05311679483509945, 0.053150512703007038, 0.053175067787554986, 0.053191171702974674, 0.053199594827247856, 0.053201154782612239, 0.053196699946905623, 0.053187089884997332, 0.053173174708178068, 0.053155775233181872, 0.053135665474935791, 0.0531135585462836, 0.053090096538516353, 0.05306584449277859, 0.053041288196531394, 0.053016835277439708, 0.052992818921846055, 0.052969503501687429, 0.052947091428070754, 0.052925730634850343, 0.052905522206899307, 0.052886527785834102, 0.052868776497183419, 0.052852271239389806, 0.052836994253053986, 0.052822911948121519, 0.052809979008894024, 0.052798141824453734, 0.052787341308285038, 0.052777515178412227, 0.05276859977073451, 0.052760531455496008, 0.052753247721556096, 0.052746687986518458, 0.052740794183663883, 0.052735511169574263, 0.052730786989679965, 0.052726573032909181, 0.052722824101251738, 0.052719498415392307, 0.052716557573588847, 0.052713966477622796, 0.052711693236855268, 0.052709709059126031, 0.052707988135354315, 0.052706507523181359, 0.052705247033775542, 0.052704189124950479, 0.05270331880297955, 0.052702623534891239, 0.052702093172562324, 0.05270171988956715, 0.05270149813146454, 0.052701424579991024, 0.05270143435111891, 0.052701463674121672, 0.052701512577846277, 0.052701581110336133, 0.052701669338778651, 0.052701777349430635, 0.052701905247520893, 0.052702053157128524, 0.052702221221035371, 0.05270240960055126, 0.052702618475308931, 0.052702848043026856, 0.052703098519236886, 0.05270337013697228, 0.052703663146414552, 0.052703977814492022, 0.05270431442442762, 0.052704673275228674, 0.052705054681114208, 0.05270545897087138, 0.052705886487134153, 0.052706337585576565, 0.052706812634009351, 0.05270731201137107, 0.05270783610660109, 0.052708385317382166, 0.052708960048737472, 0.05270956071146652, 0.052710187720402431, 0.052710841492469948, 0.052711522444522901, 0.052712230990936554, 0.052712967540927087, 0.052713732495568731, 0.05271452624447396, 0.052715349162100009, 0.052716201603639407, 0.052717083900448082, 0.052717996354958482, 0.052718939235021064, 0.052719912767607846, 0.052720917131806815, 0.052721952451025768, 0.052723018784315685, 0.05272411611671235, 0.052725244348483094, 0.052726403283151889, 0.052727592614160976, 0.052728811910009138, 0.052730060597688054, 0.052731337944215986, 0.052732643036042089, 0.052733974756067614, 0.052735331757997279, 0.052736712437698445, 0.052738114901203441, 0.052739536928944494, 0.052740975935756398, 0.052742428926121, 0.052743892444059116, 0.052745362516995048, 0.052746834592828751, 0.052748303469346038, 0.05274976321497999, 0.052751207079798648, 0.052752627395438033, 0.052754015462521474, 0.052755361423896356, 0.052756654121785776, 0.052757880936675626, 0.052759027605445985, 0.052760078015892276, 0.052761013974366083, 0.052761814942790537, 0.052762457740755352, 0.052762916207778773, 0.052763160820114258, 0.052763158255688405, 0.052762870899875289, 0.052762256283851935, 0.052761266446261765, 0.05275984720788849, 0.052757937348090936, 0.052755467671034069, 0.052752359949525658, 0.052748525734980657, 0.052743865024412404, 0.052738264780614469, 0.05273159731185742, 0.05272371853584569, 0.052714466184990566, 0.052703658065770286, 0.052691090580378429, 0.052676537882254987, 0.052659752318272822, 0.052640467298700942, 0.05261840459540356, 0.052593289606385707, 0.052564880933008561, 0.052533025871253698, 0.052497763538428915, 0.052459517511418592, 0.05241946160326532, 0.052380232986969019, 0.052347374464164875, 0.052332395611618357, 0.052359688115995603, 0.052483462753788124, 0.052833886710712728, 0.053762255419230714, 0.05640136630150161, 0.065608759833039432, 0.11451669708359846, 0.29123212005356436, 0.12969522036869907, 0.085417617033387599, 0.072191949275787648, 0.066509756550591062, 0.063513876305253528, 0.061727355060439158, 0.060575356621408373, 0.05979460106674582, 0.059250081300797862, 0.058866827580772108, 0.058600941600681668, 0.058426060367386498, 0.058326602480410078, 0.058294312301874381, 0.058326602480410113, 0.058426060367386519, 0.058600941600681612, 0.058866827580772108, 0.059250081300798091, 0.059794601066745244, 0.060575356621409594, 0.06172735506043979, 0.063513876305254111, 0.066509756550597751, 0.072191949275790715, 0.085417617033397633, 0.12969522036866399, 0.29123212005357529, 0.1145166970836306, 0.065608759833035865, 0.05640136630150256, 0.053762255419231339, 0.052833886710712333, 0.052483462753787992, 0.052359688115995562, 0.052332395611618385, 0.052347374464164875, 0.052380232986969054, 0.052419461603265348, 0.052459517511418592, 0.052497763538428971, 0.052533025871253698, 0.052564880933008554, 0.052593289606385776, 0.052618404595403595, 0.052640467298700956, 0.052659752318272836, 0.052676537882255049, 0.052691090580378429, 0.052703658065770237, 0.052714466184990538, 0.05272371853584569, 0.05273159731185742, 0.052738264780614504, 0.052743865024412431, 0.052748525734980609, 0.052752359949525721, 0.052755467671034076, 0.052757937348090887, 0.052759847207888469, 0.052761266446261772, 0.052762256283851935, 0.052762870899875282, 0.052763158255688426, 0.052763160820114272, 0.052762916207778732, 0.052762457740755317, 0.05276181494279053, 0.052761013974366083, 0.052760078015892234, 0.052759027605446013, 0.052757880936675619, 0.052756654121785727, 0.052755361423896308, 0.052754015462521432, 0.052752627395438033, 0.052751207079798627, 0.052749763214980025, 0.052748303469346031, 0.052746834592828744, 0.052745362516995055, 0.052743892444059103, 0.052742428926120972, 0.05274097593575644, 0.052739536928944522, 0.052738114901203413, 0.052736712437698445, 0.052735331757997328, 0.052733974756067663, 0.052732643036042082, 0.052731337944215986, 0.052730060597688061, 0.052728811910009103, 0.05272759261416099, 0.052726403283151931, 0.052725244348483087, 0.052724116116712329, 0.052723018784315671, 0.052721952451025768, 0.052720917131806828, 0.052719912767607867, 0.052718939235021037, 0.052717996354958448, 0.052717083900448089, 0.052716201603639434, 0.052715349162100002, 0.052714526244473932, 0.052713732495568759, 0.052712967540927101, 0.052712230990936568, 0.052711522444522874, 0.05271084149246992, 0.052710187720402375, 0.052709560711466506, 0.052708960048737506, 0.05270838531738218, 0.052707836106601069, 0.052707312011371049, 0.052706812634009316, 0.052706337585576538, 0.052705886487134194, 0.052705458970871352, 0.052705054681114243, 0.052704673275228729, 0.052704314424427606, 0.052703977814492022, 0.052703663146414573, 0.052703370136972343, 0.052703098519236859, 0.05270284804302687, 0.052702618475308917, 0.052702409600551239, 0.052702221221035392, 0.052702053157128503, 0.052701905247520893, 0.052701777349430635, 0.052701669338778602, 0.052701581110336133, 0.052701512577846304, 0.0527014636741217, 0.052701434351118931, 0.052701424579990962, 0.052701429465552972, 0.05270144412702564, 0.052701468578770852, 0.05270150284472977, 0.052701546958430573, 0.052701600962998897, 0.052701664911170849, 0.05270173886530935, 0.052701822897423201, 0.052701917089188588, 0.0527020215319738, 0.052702136326865885, 0.052702261584700455, 0.052702397426093263, 0.052702543981474531, 0.052702701391124922, 0.052702869805214082, 0.052703049383840156, 0.052703240297071775, 0.052703442724990494, 0.052703656857735467, 0.052703882895548004, 0.052704121048817394, 0.052704371538126876, 0.052704634594299832, 0.052704910458445255, 0.052705199382002771, 0.052705501626786798, 0.052705817465028684, 0.052706147179416907, 0.052706491063135012, 0.052706849419896083, 0.052707222563973685, 0.052707610820228061, 0.052708014524127801, 0.052708434021764929, 0.052708869669863795, 0.052709321835781829, 0.052709790897502121, 0.052710277243616217, 0.052710781273295607, 0.052711303396252233, 0.052711844032684411, 0.05271240361320903, 0.052712982578776588, 0.052713581380568982, 0.052714200479877245, 0.052714840347957585, 0.052715501465863984, 0.052716184324254477, 0.052716889423169946, 0.052717617271781252, 0.052718368388103509, 0.052719143298673402, 0.052719942538187271, 0.052720766649096015, 0.052721616181153591, 0.052722491690914648, 0.05272339374117796, 0.05272432290037065, 0.052725279741868594, 0.052726264843247862, 0.052727278785461955, 0.052728322151938921, 0.052729395527592086, 0.052730499497738066, 0.052731634646914431, 0.052732801557590921, 0.05273400080876392, 0.052735232974428524, 0.052736498621916907, 0.052737798310094695, 0.052739132587404897, 0.052740501989749021, 0.052741907038193536, 0.052743348236490135, 0.052744826068397734, 0.052746340994791897, 0.052747893450549047, 0.052749483841190117, 0.052751112539269319, 0.05275277988049152, 0.052754486159541876, 0.052756231625611966, 0.052758016477602782, 0.052759840858988778, 0.052761704852322587, 0.052763608473363331, 0.052765551664807633, 0.052767534289606281, 0.052769556123845263, 0.052771616849173954, 0.052773716044761124, 0.052775853178760865, 0.052778027599272852, 0.052780238524778832, 0.052782485034044965, 0.052784766055475517, 0.052787080355909718, 0.052789426528856535, 0.05279180298216405, 0.052794207925127005, 0.052796639355038907, 0.052799095043203577, 0.052801572520426131, 0.05280406906201203, 0.052806581672313301, 0.052809107068868655, 0.05281164166619777, 0.052814181559322555, 0.052816722507102377, 0.052819259915483918, 0.05282178882078721, 0.052824303873163551, 0.052826799320384289, 0.052829268992137357, 0.052831706285033531, 0.052834104148545356, 0.052836455072126774, 0.052838751073785301, 0.052840983690402986, 0.052843143970126669, 0.052845222467170334, 0.052847209239394129, 0.05284909384904251, 0.052850865367041137, 0.052852512381260625, 0.052854023009163642, 0.052857611096633964, 0.052859503504666637, 0.052859319811125682, 0.052856666898861607, 0.052851156978496933, 0.05284243005368354, 0.05283017947778796, 0.052814178280680385, 0.05279430311800129, 0.052770552285691025, 0.052743054486393909, 0.052712066026791279, 0.052677955742107214, 0.052641178842739209, 0.052602242591051444, 0.052561667811705182, 0.052519950470987113, 0.052477526944950198, 0.052434745378261427, 0.052391844080393185, 0.052348936567664012, 0.052306001890838283, 0.052262878413842112, 0.052219259268669958, 0.052174688347757535, 0.052128557091720124, 0.052080105034517252, 0.05202843243017171, 0.051972544461346727, 0.051911470958861027, 0.051844561458120428, 0.051772189920256853, 0.051697447229119786, 0.051630346801348766, 0.051598939249727228, 0.051681573326620142, 0.05211433137298703, 0.053730623256866838, 0.060466889917215653, 0.10563305827882079, 0.49157738887379721, 0.14454553254665758, 0.090093622942653953, 0.075713983074079061, 0.069782112389814757, 0.066754413611401914, 0.06502056619353995, 0.063961408384252072, 0.063291701907148695, 0.062861775179269955, 0.062584682968729849, 0.062405525556537361, 0.062287189592809385, 0.062203243876421267, 0.062134228950954808, 0.062065653777731496, 0.061986874392905456, 0.061890420755114785, 0.061771533294887659, 0.061627778795582379, 0.061458680920126033, 0.061265342427273085, 0.0610500616499903, 0.060815959021531682, 0.060566633275281827, 0.060305864355493385, 0.060037373966736383, 0.059764647569009191, 0.059490815286892609, 0.059218584621670789, 0.058950215299641888, 0.058687525833454338, 0.058431921945295916, 0.058184438378487018, 0.057945787354553323, 0.057716408685903851, 0.057496518126736271, 0.057286151839097271, 0.057085205844037624, 0.056893470041638736, 0.0567106568627187, 0.056536424910176533, 0.056370398107498575, 0.056212180937096345, 0.056061370354451204, 0.055917564929878739, 0.055780371715391019, 0.055649411271351271, 0.055524321223833453, 0.055404758663278493, 0.055290401640526989, 0.055180949968572014, 0.055076125497566443, 0.054975671996322986, 0.054879354745161132, 0.054786959921723666, 0.054698293842567552, 0.054613182108230809, 0.054531468687452282, 0.054453014966727109, 0.054377698783958477, 0.054305413459215482, 0.054236066831215048, 0.054169580304844603, 0.054105887912629456, 0.054044935391333787, 0.05398667927375804, 0.05393108599512101, 0.053878131013119182, 0.053827797940759647, 0.053780077691312073, 0.053734967635151475, 0.053692470768844106, 0.053652594897504291, 0.053615351832188268, 0.053580756604855791, 0.053548826704186904, 0.053519581336247977, 0.053493040714645751, 0.053469225385327813, 0.053448155591595263, 0.053429850685133354, 0.053414328588940185, 0.05340160531792916, 0.053391694562680059, 0.053384607341347666, 0.053380351724085173, 0.053378932633542778, 0.053379878698517458, 0.053382715843526905, 0.053387440928126084, 0.053394048749099927, 0.053402532086297902, 0.053412881765891089, 0.053425086740154469, 0.053439134182628328, 0.053455009597281403, 0.053472696940072902, 0.053492178751094438, 0.053513436295270292, 0.053536449709398776, 0.053561198153128431, 0.053587659961282244, 0.053615812794756183, 0.053645633787043352, 0.053677099683234406, 0.05371018696814954, 0.053744871980033929, 0.053781131006002708, 0.053818940355150363, 0.053858276404922703, 0.053899115616002087, 0.053941434510550612, 0.053985209608201801, 0.054030417313686636, 0.054077033749413854, 0.054125034525710838, 0.054174394440775361, 0.054225087101701139, 0.054277084457249901, 0.054330356232379758, 0.054384869253944243, 0.054440586656530843, 0.054497466957171288, 0.05455546298775573, 0.054614520674551352, 0.054674577655430635, 0.054735561727470142, 0.05479738912073167, 0.054859962598572752, 0.054923169391071988, 0.054986878976443818, 0.055050940736000739, 0.055115181521622217, 0.055179403191042052, 0.055243380185680223, 0.055306857248083867, 0.055369547400846784, 0.055431130335234891, 0.055491251384145603, 0.055549521278287536, 0.055605516903593451, 0.055658783288132119, 0.055708837043749425, 0.055755171466576249, 0.055797263456754433, 0.055834582347503096, 0.055866600635025625, 0.055892806474675594, 0.055912717660066197, 0.055925896639819311, 0.055931965965549738, 0.05593062342262449, 0.05592165599267656, 0.055904951753779047, 0.055880508856671743, 0.055848440832074554, 0.055808977683093668, 0.055762462484377828, 0.05570934352118094, 0.055650162323845856, 0.055585538250076699, 0.055516150504866218, 0.055442718640274884, 0.055365982630675901, 0.055286683573612605, 0.055205545934915244, 0.055123262061726741, 0.055040479456301181, 0.054957791065000552, 0.054875728615282171, 0.05479475884676175, 0.054715282341217322, 0.054637634564015068, 0.054562088683258854, 0.054488859726241255, 0.054418109656522044, 0.054349952999641321, 0.054284462702210864, 0.054221675970467995, 0.054161599894661676, 0.0541042167209769, 0.054049488680798986, 0.053997362326967842, 0.053947772358212867, 0.053900644936751639, 0.053855900521038981, 0.053813456246945002, 0.053773227897357612, 0.053735131503387518, 0.053699084620920171, 0.053665007324989772, 0.053632822961962763, 0.053602458696306435, 0.053573845885142142, 0.053546920310108541, 0.053521622292474182, 0.053497896714052334, 0.053475692963361701, 0.053454964823674664, 0.053435670317109094, 0.053417771516749382, 0.053401234336897738, 0.053386028309944884, 0.053372126356972083, 0.053359504558032629, 0.053348141927077791, 0.053338020195665137, 0.053329123608891173, 0.053321438736407045, 0.053314954300877425, 0.05330966102582723, 0.053305551504456671, 0.0533026200906924, 0.053300862813469949, 0.053300277314990124], [0.053855809183119725, 0.053857105277649593, 0.053860993981948831, 0.053867476602728177, 0.053876555466794172, 0.053888234145726514, 0.053902517772999294, 0.053919413456335705, 0.053938930789182701, 0.053961082466543131, 0.053985885012077628, 0.054013359625456669, 0.054043533161533479, 0.054076439256139433, 0.054112119617337522, 0.05415062550602022, 0.054192019436086855, 0.054236377132424067, 0.054283789795020986, 0.054334366730418582, 0.05438823842814311, 0.054445560180986632, 0.054506516375511412, 0.054571325615176816, 0.054640246886005349, 0.054713587037993783, 0.054791709940584833, 0.054875047786126424, 0.054964115174048783, 0.055059526829143793, 0.055162020117767899, 0.055272483968431083, 0.055391996443467088, 0.05552187414905909, 0.055663738076182835, 0.055819602603612628, 0.055991997714832008, 0.056184139752466736, 0.056400174610661165, 0.05664553160514095, 0.056927450976680942, 0.057255792075022009, 0.057644311057535293, 0.058112755593758079, 0.058690448226896542, 0.059422733921001426, 0.060383310697987976, 0.06169965236965113, 0.063610652113112329, 0.066614636908738464, 0.071920057197783827, 0.083206748658156693, 0.11691930982238856, 0.31292405079539221, 0.20325903120463532, 0.071422070720581557, 0.056050628236388567, 0.052700512451547846, 0.051831718939904736, 0.051676660914312347, 0.05176082844322346, 0.051927382391101944, 0.052117704165938222, 0.052308372573143691, 0.052489863833227589, 0.052658481740648348, 0.052813041982715567, 0.052953432985826283, 0.053079972782112753, 0.053193122855385237, 0.053293368852506684, 0.053381181286537113, 0.053457014498203337, 0.053521322735100241, 0.053574581971577863, 0.053617310957392653, 0.053650087630823587, 0.053673558700720637, 0.053688441447363032, 0.053695517826729044, 0.053695621826310692, 0.053689621676562611, 0.053678398920291512, 0.053662826457057382, 0.053643747526935938, 0.053621957234442276, 0.05359818772227895, 0.053573097575831771, 0.053547265551322394, 0.053521188327772348, 0.053495281712111611, 0.053469884579481868, 0.053445264790594194, 0.053421626368705774, 0.053399117311707933, 0.053377837534056116, 0.053357846558432807, 0.053339170694103197, 0.053321809539762711, 0.053305741729829131, 0.05329092990443219, 0.053277324926668208, 0.053264869398876188, 0.053253500545928145, 0.053243152540821209, 0.05323375834882603, 0.053225251163237605, 0.053217565500025849, 0.053210638011625552, 0.053204408072583587, 0.053198818182369052, 0.053193814223695304, 0.053189345608398754, 0.053185365337350243, 0.053181829996051831, 0.053178699703463964, 0.053175938028156601, 0.053173511883006952, 0.053171391407309879, 0.053169549843243451, 0.053167963412080792, 0.053166611194295429, 0.053165475016721538, 0.053164539349150754, 0.053163791212142264, 0.053163220097351541, 0.05316281790132249, 0.053162578873412025, 0.053162499578304566, 0.053162510264567212, 0.053162542334044265, 0.053162595818794775, 0.05316267077222183, 0.05316276726902977, 0.053162885405162723, 0.053163025297724639, 0.053163187084878452, 0.053163370925724068, 0.05316357700015252, 0.05316380550867475, 0.053164056672221925, 0.053164330731915704, 0.053164627948802834, 0.053164948603553974, 0.053165292996118739, 0.05316566144533541, 0.05316605428848805, 0.053166471880806532, 0.053166914594902075, 0.05316738282013081, 0.053167876961878864, 0.053168397440757617, 0.053168944691700672, 0.053169519162950672, 0.053170121314923782, 0.053170751618937549, 0.05317141055578662, 0.053172098614150232, 0.053172816288810619, 0.053173564078662486, 0.053174342484489198, 0.053175152006479466, 0.05317599314145538, 0.053176866379778698, 0.053177772201899488, 0.053178711074506418, 0.053179683446233354, 0.053180689742871518, 0.053181730362031998, 0.053182805667194584, 0.053183915981073297, 0.053185061578220276, 0.053186242676779821, 0.053187459429295036, 0.053188711912456721, 0.053190000115671453, 0.053191323928311413, 0.053192683125490164, 0.053194077352191262, 0.053195506105555096, 0.053196968715103127, 0.053198464320654192, 0.053199991847653574, 0.053201549979603434, 0.053203137127240077, 0.053204751394060584, 0.053206390537748366, 0.05320805192698877, 0.053209732493099106, 0.053211428675820738, 0.053213136362534282, 0.05321485082005762, 0.053216566618074647, 0.053218277543110287, 0.053219976501817409, 0.053221655412171533, 0.053223305080968175, 0.053224915065795228, 0.053226473519388189, 0.053227967013979929, 0.053229380342910082, 0.053230696296364788, 0.053231895407665653, 0.053232955666004958, 0.053233852190936626, 0.053234556863258627, 0.053235037906168479, 0.05323525940973188, 0.053235180790782537, 0.053234756179385195, 0.053233933721984948, 0.05323265479039925, 0.053230853085016988, 0.053228453620166039, 0.053225371579962197, 0.053221511034666123, 0.053216763511654372, 0.053211006423217411, 0.053204101368280909, 0.053195892351405601, 0.053186204007760883, 0.05317484000031987, 0.053161581887836401, 0.053146188988667561, 0.053128400156212299, 0.053107939063548659, 0.053084525802845749, 0.053057899785979544, 0.053027862959679456, 0.05299435998457893, 0.052957626965983669, 0.052918470633631837, 0.05287880404970649, 0.052842707854931087, 0.052818624008629279, 0.052824147738478239, 0.052897266732425327, 0.05312528123496519, 0.053728999716098548, 0.055353484464567899, 0.060355751185994753, 0.081172269183471771, 0.21559901672089271, 0.1995346489901911, 0.1019512166113237, 0.078567305165524778, 0.069931025200070177, 0.065757520976278377, 0.063400948629607032, 0.06193585954762041, 0.060967932228262078, 0.060305115664176151, 0.05984473913858504, 0.05952836871052114, 0.059321644660326599, 0.059204562782277585, 0.059166626777045803, 0.059204562782277634, 0.05932164466032662, 0.059528368710521098, 0.059844739138584985, 0.060305115664176442, 0.060967932228261329, 0.061935859547621909, 0.063400948629607795, 0.06575752097627903, 0.069931025200079655, 0.078567305165528928, 0.10195121661134218, 0.1995346489901221, 0.21559901672090412, 0.0811722691834834, 0.06035575118599279, 0.055353484464568371, 0.053728999716098902, 0.053125281234964974, 0.052897266732425285, 0.052824147738478176, 0.052818624008629342, 0.05284270785493108, 0.052878804049706518, 0.052918470633631851, 0.052957626965983648, 0.052994359984578972, 0.053027862959679477, 0.053057899785979516, 0.053084525802845825, 0.053107939063548687, 0.053128400156212306, 0.053146188988667589, 0.05316158188783647, 0.053174840000319877, 0.053186204007760834, 0.053195892351405566, 0.05320410136828093, 0.053211006423217404, 0.0532167635116544, 0.053221511034666144, 0.053225371579962162, 0.053228453620166052, 0.053230853085016995, 0.053232654790399209, 0.053233933721984941, 0.053234756179385195, 0.053235180790782551, 0.053235259409731873, 0.0532350379061685, 0.053234556863258647, 0.053233852190936577, 0.05323295566600493, 0.053231895407665653, 0.053230696296364781, 0.053229380342910054, 0.053227967013979964, 0.053226473519388195, 0.053224915065795179, 0.053223305080968134, 0.053221655412171491, 0.053219976501817416, 0.053218277543110266, 0.053216566618074702, 0.053214850820057641, 0.053213136362534302, 0.053211428675820745, 0.053209732493099099, 0.053208051926988763, 0.053206390537748421, 0.053204751394060584, 0.053203137127240042, 0.053201549979603434, 0.053199991847653588, 0.05319846432065424, 0.053196968715103148, 0.053195506105555082, 0.053194077352191255, 0.053192683125490116, 0.053191323928311426, 0.053190000115671501, 0.053188711912456693, 0.053187459429295002, 0.053186242676779821, 0.053185061578220304, 0.053183915981073318, 0.053182805667194591, 0.053181730362031984, 0.05318068974287149, 0.053179683446233368, 0.053178711074506432, 0.053177772201899502, 0.053176866379778656, 0.053175993141455394, 0.053175152006479494, 0.053174342484489205, 0.05317356407866243, 0.053172816288810612, 0.053172098614150183, 0.05317141055578662, 0.05317075161893757, 0.053170121314923796, 0.053169519162950638, 0.053168944691700637, 0.053168397440757589, 0.053167876961878836, 0.053167382820130851, 0.053166914594902047, 0.053166471880806587, 0.053166054288488099, 0.053165661445335403, 0.053165292996118718, 0.053164948603553974, 0.053164627948802883, 0.053164330731915677, 0.05316405667222196, 0.053163805508674743, 0.053163577000152527, 0.053163370925724082, 0.053163187084878459, 0.053163025297724632, 0.053162885405162737, 0.053162767269029729, 0.053162670772221844, 0.053162595818794803, 0.053162542334044299, 0.053162510264567218, 0.053162499578304524, 0.053162504921402891, 0.053162520955647774, 0.053162547695890149, 0.053162585166886531, 0.053162633403306625, 0.053162692449744135, 0.053162762360729594, 0.053162843200747323, 0.053162935044254435, 0.053163037975702702, 0.053163152089563556, 0.053163277490355064, 0.053163414292672059, 0.053163562621218047, 0.053163722610839813, 0.053163894406563841, 0.053164078163635109, 0.053164274047556942, 0.053164482234133371, 0.053164702909511592, 0.053164936270227107, 0.05316518252324838, 0.053165441886022638, 0.053165714586522014, 0.053166000863289486, 0.053166300965484393, 0.053166615152926963, 0.053166943696142145, 0.053167286876401036, 0.053167644985760452, 0.053168018327099831, 0.053168407214154521, 0.053168811971545292, 0.053169232934802878, 0.053169670450387646, 0.053170124875702371, 0.053170596579098499, 0.053171085939873852, 0.053171593348261756, 0.053172119205409922, 0.053172663923347616, 0.053173227924941023, 0.053173811643833876, 0.053174415524373402, 0.053175040021518509, 0.053175685600730181, 0.053176352737840688, 0.053177041918900575, 0.053177753640001116, 0.053178488407069686, 0.053179246735636218, 0.053180029150567375, 0.053180836185766224, 0.053181668383834063, 0.053182526295691354, 0.053183410480154174, 0.053184321503462785, 0.053185259938757432, 0.053186226365498579, 0.053187221368825713, 0.053188245538850598, 0.053189299469879478, 0.05319038375955866, 0.053191499007937994, 0.053192645816445158, 0.05319382478676489, 0.053195036519615144, 0.053196281613413554, 0.053197560662824842, 0.053198874257181984, 0.053200222978770778, 0.053201607400968853, 0.053203028086228676, 0.053204485583894012, 0.053205980427837835, 0.053207513133910096, 0.053209084197183003, 0.053210694088979625, 0.053212343253672731, 0.053214032105238854, 0.05321576102355266, 0.05321753035040562, 0.05321934038523219, 0.053221191380527812, 0.053223083536939345, 0.053225016998011819, 0.053226991844571706, 0.053229008088729358, 0.053231065667480086, 0.053233164435887284, 0.053235304159826517, 0.053237484508273494, 0.053239705045118026, 0.053241965220485486, 0.053244264361551816, 0.053246601662834431, 0.053248976175949925, 0.053251386798824497, 0.053253832264351077, 0.053256311128488783, 0.053258821757802915, 0.05326136231645124, 0.053263930752624374, 0.053266524784457897, 0.053269141885437715, 0.053271779269330799, 0.053274433874682205, 0.053277102348928497, 0.053279781032190977, 0.053282465940824336, 0.053285152750811554, 0.053287836781108648, 0.053290512977065253, 0.053293175894058936, 0.053295819681507206, 0.053298438067436581, 0.053301024343814195, 0.05330357135286809, 0.053306071474646673, 0.053308516616091393, 0.053310898201920573, 0.053313207167645975, 0.053315433955064544, 0.053317568510589573, 0.053319600286801709, 0.053321518247616148, 0.053323310877469735, 0.053324966194939226, 0.053328981895497611, 0.053331290675874048, 0.053331510800518303, 0.053329248872586048, 0.053324118051219054, 0.053315760633760131, 0.053303873632713612, 0.053288235028330549, 0.05326872757859933, 0.05324535668391258, 0.05321825906071876, 0.05318769996493574, 0.053154058297213681, 0.053117800782548075, 0.053079448092368822, 0.053039536849372272, 0.052998581686264534, 0.052957040933796821, 0.052915288327847268, 0.052873591702676276, 0.052832098321291134, 0.052790825528900666, 0.052749654922381352, 0.052708328240254801, 0.052666443720648159, 0.05262345289146745, 0.052578660097072995, 0.052531231653328514, 0.052480230979429436, 0.052424716501324568, 0.05236398534963016, 0.052298155538853752, 0.052229554749562625, 0.052166126324417562, 0.052130251580627417, 0.052183623733315247, 0.052506668086585488, 0.053703436892882706, 0.058364742805635882, 0.084418319609837839, 0.39954387481538461, 0.18978084765635581, 0.099337184635804279, 0.079615449764742538, 0.072152430345983495, 0.068516789233973099, 0.066495420982643161, 0.065287014675727784, 0.064536882002830004, 0.064064128344210103, 0.063765830093285444, 0.06357795916880965, 0.063457667547468691, 0.06337463870813316, 0.063306652952954165, 0.063237236849946227, 0.063154371973572432, 0.063049730551660119, 0.062918148264825113, 0.06275717807470807, 0.062566650184868122, 0.062348214773996734, 0.062104875226285751, 0.061840534888332084, 0.06155958369765141, 0.061266546320297016, 0.06096580463455889, 0.060661397817674871, 0.060356895195130794, 0.060055331511940091, 0.059759191546045559, 0.059470430560994131, 0.059190518278185937, 0.05892049611885216, 0.058661039838540777, 0.058412521954079269, 0.05817507032139372, 0.05794862077384292, 0.057732962875383036, 0.057527778630435032, 0.057332674492372823, 0.057147207296354474, 0.056970904873060293, 0.05680328212908993, 0.056643853346236582, 0.056492141383540584, 0.056347684381922114, 0.056210040483554873, 0.056078790994262988, 0.055953542341059981, 0.055833927110216008, 0.055719604394250603, 0.055610259628558152, 0.055505604059048946, 0.055405373950197886, 0.055309329617129907, 0.055217254344819271, 0.055128953241232528, 0.055044252058498541, 0.054962996006277028, 0.054885048573869659, 0.054810290371804779, 0.054738617999272578, 0.05466994294058336, 0.054604190491544732, 0.054541298715095006, 0.054481217424569489, 0.054423907192467882, 0.054369338382459297, 0.054317490202522266, 0.05426834977751447, 0.054221911240034303, 0.054178174839147525, 0.054137146067350032, 0.054098834806988579, 0.05406325449823015, 0.054030421331521777, 0.054000353468274989, 0.053973070294230222, 0.053948591710542552, 0.053926937468094564, 0.053908126550829147, 0.053892176614005936, 0.053879103483207735, 0.053868920719638752, 0.053861639256799335, 0.053857267112968399, 0.053855809183119725, 0.053856781140045523, 0.053859695955537065, 0.053864550473431805, 0.053871339465636006, 0.053880055679921907, 0.053890689905905995, 0.053903231058285643, 0.05391766627615463, 0.053933981036980612, 0.053952159283595723, 0.053972183562328906, 0.053994035170199316, 0.054017694308889974, 0.054043140243023556, 0.054070351460076667, 0.054099305829073997, 0.054129980755021054, 0.054162353325823795, 0.054196400448236641, 0.054232098969143619, 0.054269425778214815, 0.054308357887688501, 0.054348872484688247, 0.054390946951106744, 0.054434558845645693, 0.05447968584210381, 0.054526305617448534, 0.054574395682580663, 0.054623933148015849, 0.05467489441596951, 0.05472725478954981, 0.054780987988967356, 0.054836065563890542, 0.054892456190350644, 0.054950124840019939, 0.055009031809309744, 0.055069131595696409, 0.055130371609127121, 0.055192690707460565, 0.05525601754689527, 0.055320268741499527, 0.055385346830595789, 0.055451138059233421, 0.055517509985692021, 0.055584308941294729, 0.055651357382156423, 0.055718451190138282, 0.055785357001396543, 0.055851809665402131, 0.05591750996472844, 0.055982122755315417, 0.056045275716717836, 0.056106558929669238, 0.056165525520863291, 0.056221693628016094, 0.05627454993707208, 0.056323555022435565, 0.056368150675006869, 0.056407769327159039, 0.056441845576146094, 0.056469829668538321, 0.056491202643255203, 0.056505492649970256, 0.056512291778903573, 0.05651127257779099, 0.056502203315330755, 0.056484961000459306, 0.056459541201789663, 0.056426063841322413, 0.056384774359053091, 0.056336039944745418, 0.056280340881531832, 0.056218257405531782, 0.056150452815055388, 0.056077653824040292, 0.056000629318467179, 0.055920168726910253, 0.055837061158168479, 0.055752076305637999, 0.055665947895958107, 0.055579360200160827, 0.055492937860727405, 0.055407239044654159, 0.055322751730420935, 0.055239892786539076, 0.055159009403922862, 0.055080382399916049, 0.055004230910258439, 0.054930718016219467, 0.054859956906797153, 0.054792017240471447, 0.054726931439427279, 0.054664700715409999, 0.05460530068642061, 0.054548686495037219, 0.054494797381386073, 0.054443560696799412, 0.054394895368743569, 0.05434871484482328, 0.0543049295548058, 0.054263448935933267, 0.054224183069443654, 0.054187043976199223, 0.054151946617455454, 0.054118809643748406, 0.05408755593114787, 0.054058112940087964, 0.054030412927915064, 0.054004393042370022, 0.053979995319555552, 0.053957166606600528, 0.053935858426244009, 0.053916026797931497, 0.053897632027724948, 0.053880638477357377, 0.053865014321078986, 0.05385073129751413, 0.053837764462546255, 0.053826091948236232, 0.053815694731933997, 0.053806556419033161, 0.053798663042227329, 0.053792002879622124, 0.053786566293639919, 0.053782345592287846, 0.053779334914048051, 0.05377753013737753, 0.053776928815553113], [0.054372538503927995, 0.054373870962557594, 0.054377868818824546, 0.054384533560646556, 0.054393867824211586, 0.054405875629825878, 0.054420562714912524, 0.054437936967205378, 0.054458008962375334, 0.05448079261179449, 0.054506305927959846, 0.054534571917341332, 0.054565619613228825, 0.054599485264657084, 0.054636213701867352, 0.054675859904254387, 0.054718490803654547, 0.054764187364536858, 0.054813046993693756, 0.054865186346098646, 0.054920744611626708, 0.054979887390629915, 0.055042811296644151, 0.055109749464252816, 0.055180978192701464, 0.05525682502606763, 0.05533767866548045, 0.055424001237912211, 0.055516343623879368, 0.055615364794337034, 0.055721856457209895, 0.055836774815322301, 0.055961281965801371, 0.056096800546132169, 0.056245086846713893, 0.056408330081026241, 0.05658928936586629, 0.056791486136699279, 0.057019479842795394, 0.057279271830956095, 0.057578912023438532, 0.057929436552424232, 0.058346365101740481, 0.058852184654955821, 0.059480657618792711, 0.060284703204695547, 0.061351779121610078, 0.06283641001507248, 0.065036396023266732, 0.068597285609169681, 0.07517506923819102, 0.090287863259394086, 0.14296937509949098, 0.46212606845304488, 0.12987218796221162, 0.064756677214706126, 0.055109170449504391, 0.052807644228309074, 0.052223253778898977, 0.052163194099670851, 0.052282936847830704, 0.052463549353013547, 0.052659436062317884, 0.052852168171861669, 0.053034277046146168, 0.053202944975949046, 0.053357362418515929, 0.053497566681943547, 0.053623920670660186, 0.053736882887631426, 0.05383691514666656, 0.053924456806875687, 0.053999930823112004, 0.054063763711516298, 0.054116409562308461, 0.054158372283216814, 0.054190222521407316, 0.054212607210404641, 0.054226250872800537, 0.054231948837761085, 0.054230553412226372, 0.054222954720045902, 0.054210058332098708, 0.054192761921638855, 0.05417193300863607, 0.054148389465223198, 0.054122883930485519, 0.054096092722495027, 0.054068609321493592, 0.054040942087435775, 0.054013515594849917, 0.05398667481870404, 0.053960691368322426, 0.053935771014051642, 0.053912061852741403, 0.053889662585818281, 0.053868630516464282, 0.053848988995677131, 0.053830734152521389, 0.053813840828315126, 0.053798267697889042, 0.053783961605525808, 0.053770861171852938, 0.053758899744209984, 0.053748007770027924, 0.053738114673287526, 0.053729150310410499, 0.053721046075673913, 0.053713735718697642, 0.053707155928596928, 0.053701246731602335, 0.053695951741672382, 0.053691218297055601, 0.053686997509973508, 0.053683244251600169, 0.053679917090269348, 0.053676978197281719, 0.053674393231731586, 0.053672131213352438, 0.053670164390411591, 0.053668468108096029, 0.053667020681564946, 0.05366580327683939, 0.053664799801909503, 0.053663996809826399, 0.053663383415071812, 0.053662951224135454, 0.053662694280955686, 0.053662609027669249, 0.053662620664029555, 0.053662655584907855, 0.05366271382569001, 0.053662795445330126, 0.053662900526317614, 0.053663029174629291, 0.053663181519666883, 0.05366335771417817, 0.053663557934160236, 0.053663782378743939, 0.053664031270056659, 0.05366430485306143, 0.053664603395370242, 0.053664927187026604, 0.05366527654025708, 0.05366565178918415, 0.053666053289499006, 0.053666481418087164, 0.053666936572602908, 0.053667419170985005, 0.05366792965090704, 0.053668468469155718, 0.053669036100926416, 0.053669633039027866, 0.053670259792984482, 0.053670916888024625, 0.053671604863941041, 0.053672324273808636, 0.05367307568254371, 0.053673859665284915, 0.053674676805576589, 0.053675527693330768, 0.053676412922542889, 0.053677333088732404, 0.053678288786076944, 0.053679280604204592, 0.053680309124605197, 0.053681374916616682, 0.053682478532936936, 0.053683620504608009, 0.05368480133541003, 0.053686021495597792, 0.053687281414903053, 0.05368858147471809, 0.05368992199936428, 0.053691303246339653, 0.053692725395425203, 0.053694188536516418, 0.053695692656028776, 0.053697237621709075, 0.053698823165662872, 0.053700448865384436, 0.053702114122549827, 0.053703818139302993, 0.053705559891731411, 0.053707338100188018, 0.05370915119607346, 0.053710997284641862, 0.053712874103336868, 0.053714778975100227, 0.053716708756021476, 0.053718659776613407, 0.053720627775900899, 0.053722607827403013, 0.053724594255961503, 0.053726580544224377, 0.053728559227431485, 0.053730521774955568, 0.053732458456841208, 0.053734358193329092, 0.053736208385073071, 0.053737994721425097, 0.053739700963788758, 0.053741308700611903, 0.053742797070091566, 0.053744142446106723, 0.053745318082252268, 0.053746293708128619, 0.053747035071237445, 0.05374750341694938, 0.05374765489805413, 0.053747439904415863, 0.053746802302282182, 0.053745678571949097, 0.053743996831939998, 0.053741675737919187, 0.053738623245731504, 0.053734735231071931, 0.053729893964709001, 0.053723966454177687, 0.053716802684176626, 0.053708233824816751, 0.05369807053997739, 0.053686101635401301, 0.053672093469131654, 0.053655790860565995, 0.053636920777585896, 0.053615201034777293, 0.053590357938774438, 0.053562159922177048, 0.053530480011485804, 0.053495411140411592, 0.053457480539810122, 0.05341805543557946, 0.053380132040991381, 0.053349928367378216, 0.053340260465479038, 0.053378162703734112, 0.053523540753229348, 0.053919968872363666, 0.054954508821960409, 0.057874506311857789, 0.068021940235699296, 0.12143916492786741, 0.300811719310072, 0.13517036942703226, 0.088758959535515408, 0.074704633853003771, 0.068640822855726605, 0.065442715984342759, 0.063540560909203653, 0.062321352615136376, 0.061504109002008117, 0.060945079471634245, 0.060565067010207453, 0.060318604989762256, 0.060179669323915469, 0.060134754079893715, 0.060179669323915504, 0.060318604989762298, 0.060565067010207384, 0.060945079471634182, 0.061504109002008464, 0.062321352615135474, 0.063540560909205457, 0.065442715984343758, 0.068640822855727548, 0.074704633853018176, 0.088758959535522375, 0.13517036942706917, 0.30081171931005896, 0.12143916492787057, 0.068021940235704972, 0.057874506311856519, 0.054954508821960749, 0.053919968872363874, 0.053523540753229258, 0.053378162703734106, 0.053340260465478982, 0.053349928367378265, 0.053380132040991388, 0.053418055435579495, 0.05345748053981015, 0.053495411140411578, 0.053530480011485845, 0.053562159922177041, 0.053590357938774424, 0.053615201034777397, 0.053636920777585924, 0.053655790860565995, 0.053672093469131682, 0.053686101635401377, 0.053698070539977369, 0.05370823382481666, 0.053716802684176584, 0.0537239664541777, 0.053729893964709008, 0.05373473523107198, 0.053738623245731525, 0.053741675737919131, 0.053743996831940047, 0.053745678571949118, 0.053746802302282147, 0.053747439904415863, 0.05374765489805413, 0.053747503416949408, 0.053747035071237459, 0.053746293708128626, 0.053745318082252316, 0.053744142446106653, 0.053742797070091518, 0.053741308700611917, 0.053739700963788745, 0.053737994721425056, 0.053736208385073099, 0.053734358193329092, 0.053732458456841159, 0.053730521774955534, 0.05372855922743143, 0.053726580544224391, 0.053724594255961482, 0.053722607827403061, 0.053720627775900885, 0.053718659776613442, 0.053716708756021476, 0.0537147789751002, 0.053712874103336833, 0.053710997284641904, 0.053709151196073467, 0.053707338100187976, 0.053705559891731404, 0.053703818139303028, 0.053702114122549882, 0.053700448865384429, 0.053698823165662879, 0.053697237621709082, 0.053695692656028728, 0.053694188536516425, 0.053692725395425245, 0.053691303246339639, 0.053689921999364253, 0.053688581474718083, 0.053687281414903087, 0.05368602149559782, 0.053684801335410058, 0.053683620504607989, 0.053682478532936909, 0.053681374916616668, 0.053680309124605197, 0.053679280604204585, 0.05367828878607691, 0.053677333088732425, 0.05367641292254291, 0.053675527693330796, 0.053674676805576534, 0.053673859665284915, 0.053673075682543675, 0.053672324273808643, 0.053671604863941076, 0.053670916888024653, 0.05367025979298444, 0.053669633039027838, 0.053669036100926382, 0.053668468469155697, 0.053667929650907074, 0.053667419170984977, 0.05366693657260295, 0.053666481418087206, 0.053666053289499013, 0.053665651789184143, 0.053665276540257094, 0.05366492718702668, 0.053664603395370214, 0.053664304853061472, 0.053664031270056665, 0.053663782378743904, 0.053663557934160243, 0.053663357714178142, 0.053663181519666883, 0.053663029174629284, 0.053662900526317586, 0.053662795445330147, 0.053662713825690045, 0.053662655584907896, 0.053662620664029548, 0.053662609027669186, 0.053662614845784405, 0.053662632305250049, 0.053662661421427747, 0.053662702219925154, 0.053662754736603806, 0.053662819017589833, 0.053662895119287318, 0.053662983108395082, 0.05366308306192627, 0.053663195067230302, 0.053663319222018252, 0.053663455634390046, 0.053663604422865205, 0.053663765716414707, 0.053663939654496298, 0.053664126387091123, 0.053664326074742856, 0.053664538888597964, 0.053664765010448298, 0.053665004632773891, 0.053665257958788334, 0.053665525202483522, 0.053665806588675688, 0.053666102353051491, 0.053666412742213912, 0.053666738013727636, 0.053667078436163224, 0.053667434289140489, 0.053667805863369479, 0.053668193460689018, 0.053668597394102804, 0.053669017987811506, 0.05366945557724067, 0.053669910509063591, 0.053670383141219052, 0.053670873842921574, 0.053671382994665034, 0.053671910988217227, 0.053672458226605407, 0.053673025124091167, 0.053673612106133001, 0.053674219609336674, 0.053674848081390031, 0.053675497980982624, 0.053676169777707013, 0.053676863951940969, 0.053677580994708457, 0.053678321407516966, 0.053679085702169463, 0.053679874400548423, 0.053680688034369747, 0.053681527144903166, 0.053682392282657178, 0.053683284007024434, 0.053684202885885234, 0.053685149495164557, 0.053686124418340211, 0.053687128245895922, 0.053688161574717404, 0.053689225007425026, 0.053690319151638716, 0.053691444619169928, 0.053692602025134456, 0.053693791986980835, 0.053695015123427101, 0.053696272053299549, 0.053697563394265839, 0.053698889761455294, 0.05370025176595708, 0.053701650013188801, 0.053703085101125134, 0.053704557618377356, 0.053706068142112935, 0.053707617235805041, 0.05370920544679908, 0.053710833303685271, 0.053712501313464188, 0.053714209958491251, 0.053715959693187029, 0.053717750940497827, 0.053719584088092201, 0.053721459484276694, 0.053723377433614355, 0.053725338192230174, 0.053727341962784191, 0.053729388889096022, 0.053731479050401418, 0.053733612455223123, 0.053735789034836556, 0.053738008636313062, 0.053740271015120605, 0.053742575827265229, 0.053744922620955357, 0.053747310827771906, 0.053749739753330208, 0.053752208567417428, 0.053754716293597002, 0.053757261798267668, 0.053759843779171326, 0.053762460753348201, 0.053765111044537489, 0.053767792770032415, 0.053770503826998661, 0.05377324187827609, 0.053776004337687734, 0.053778788354890562, 0.053781590799811804, 0.053784408246723966, 0.053787236958024398, 0.053790072867799271, 0.053792911565265313, 0.053795748278197185, 0.053798577856469049, 0.053801394755853257, 0.053804193022242361, 0.053806966276478164, 0.053809707699996601, 0.053812410021517321, 0.053815065505031692, 0.053817665939365489, 0.053820202629616204, 0.05382266639078729, 0.053825047543962862, 0.053827335915386222, 0.05382952083882088, 0.053831591161588387, 0.05383353525468227, 0.053835341027364196, 0.053839801035881554, 0.053842541733577463, 0.053843179735199684, 0.053841321016896961, 0.053836579347960302, 0.053828599017765835, 0.053817080467998948, 0.053801806510761989, 0.053782666039179514, 0.053759671776073908, 0.053732968876185415, 0.053702832179335053, 0.053669651480501665, 0.053633906008985002, 0.05359613095081367, 0.053556879899886833, 0.053516687353351369, 0.053476034789096426, 0.053435322707014878, 0.053394849622681213, 0.053354797705812668, 0.053315223794522984, 0.053276054006662486, 0.053237080139058993, 0.053197956507448747, 0.053158196942038514, 0.053117173683859417, 0.053074123861988592, 0.053028177254034629, 0.052978436196177051, 0.052924176876614722, 0.052865331046054821, 0.052803629022701998, 0.052745370678862848, 0.052708473263205331, 0.052741822228118525, 0.052984739002505721, 0.053882630438859769, 0.057195521047478971, 0.073261483429737165, 0.23634795105813572, 0.27371357733066853, 0.11265613444146977, 0.084541756519504366, 0.074960323332411011, 0.070538083055852296, 0.068159469149340235, 0.066770756341313173, 0.065925727302962742, 0.065403759516187376, 0.065082106686858168, 0.064885612617197413, 0.064764511969592986, 0.064683825111024981, 0.064618026050930755, 0.064548272477374047, 0.064460915544927708, 0.064346631280141911, 0.064199819045251322, 0.064018078994998617, 0.06380168187411342, 0.06355300878395026, 0.063275976668186421, 0.062975482877159719, 0.062656904260623425, 0.062325678262376435, 0.061986980836803353, 0.061645503091248319, 0.061305318227058536, 0.060969823828533436, 0.060641741785123049, 0.060323158334724257, 0.060015588830176894, 0.05972005487424896, 0.059437164695682061, 0.059167190580407855, 0.058910139595050121, 0.058665815681412006, 0.058433872500777771, 0.058213857255314659, 0.058005246214577366, 0.057807472925533419, 0.05761995016612978, 0.057442086678178933, 0.0572732996309291, 0.057113023653440495, 0.056960717152048007, 0.05681586651099374, 0.056677988666381664, 0.056546632448957364, 0.056421379010561754, 0.056301841581835127, 0.05618766475360288, 0.056078523429751836, 0.055974121563734568, 0.055874190762589794, 0.055778488820197071, 0.055686798224239158, 0.055598924668040055, 0.055514695588277117, 0.055433958741883477, 0.055356580829722224, 0.05528244617041933, 0.055211455424745509, 0.055143524368891396, 0.055078582713660222, 0.055016572965876732, 0.054957449328031011, 0.054901176632257707, 0.054847729305113085, 0.054797090360196289, 0.054749250416400413, 0.05470420674044793, 0.054661962313308346, 0.054622524921079253, 0.054585906271901671, 0.054552121141440625, 0.054521186550352985, 0.054493120977972272, 0.054467943617101756, 0.054445673675336974, 0.054426329728678148, 0.054409929133346566, 0.054396487501672322, 0.054386018247656799, 0.054378532207365507, 0.054374037338655444, 0.054372538503927995, 0.05437353772978281, 0.054376534346900325, 0.054381525184058609, 0.054388504989472716, 0.054397466480690208, 0.054408400413480038, 0.054421295668764642, 0.054436139356383119, 0.054452916934226353, 0.054471612341048338, 0.054492208141028162, 0.054514685677942043, 0.054539025236597434, 0.054565206208979034, 0.054593207262363178, 0.054623006506455019, 0.054654581656411967, 0.054687910188396402, 0.05472296948408216, 0.054759736960288442, 0.054798190179633569, 0.05483830693778944, 0.054880065322548528, 0.05492344373950634, 0.054968420898681085, 0.055014975755847635, 0.055063087401751129, 0.055112734891672427, 0.055163897007055381, 0.055216551940077421, 0.055270676891160053, 0.055326247568502268, 0.055383237577807685, 0.055441617689508803, 0.055501354970054317, 0.055562411763289174, 0.055624744507755806, 0.055688302376038862, 0.055753025723250388, 0.055818844333667343, 0.055885675457678877, 0.055953421635927834, 0.056021968314243158, 0.056091181262096543, 0.056160903819334952, 0.05623095401129162, 0.056301121591421012, 0.056371165093576224, 0.056440809002906364, 0.056509741184681841, 0.056577610743194839, 0.05664402651653596, 0.056708556444959146, 0.056770728077123828, 0.056830030495127123, 0.056885917940344685, 0.056937815401523373, 0.056985126378152902, 0.057027242950669743, 0.057063558171439717, 0.057093480637216663, 0.057116450920327334, 0.057131959333602371, 0.057139564300776394, 0.057138910422887823, 0.05712974519854145, 0.057111933297821396, 0.057085467327276575, 0.057050474168103139, 0.057007216219103853, 0.056956087212316084, 0.056897602659843144, 0.056832385392385901, 0.056761147016252844, 0.056684666403137629, 0.056603766503757563, 0.056519290826861898, 0.056432080851546731, 0.056342955462033918, 0.056252693240672294, 0.056162018163138712, 0.056071588945307921, 0.05598199202394219, 0.055893737934325255, 0.055807260688379184, 0.055722919658701901, 0.055641003432203857, 0.055561735101812122, 0.055485278504071249, 0.055411744972282434, 0.055341200248250011, 0.055273671271991773, 0.055209152641543566, 0.055147612600115789, 0.055088998463137598, 0.055033241442443655, 0.054980260859352155, 0.054929967763633673, 0.054882267992727468, 0.054837064716448503, 0.054794260518257941, 0.054753759066196929, 0.054715466425884367, 0.054679292065443454, 0.054645149598534802, 0.054612957307371694, 0.054582638483056556, 0.054554121616074681, 0.054527340465496232, 0.054502234031471787, 0.054478746452023039, 0.054456826841946415, 0.054436429088859824, 0.054417511619012295, 0.054400037143410504, 0.054383972393062467, 0.054369287850657394, 0.054355957484759729, 0.054343958491556994, 0.054333271048335068, 0.054323878082132661, 0.054315765056427462, 0.054308919778197018, 0.054303332227279025, 0.054298994409588429, 0.054295900235438573, 0.054294045423942811, 0.05429342743422421], [0.05492312394266631, 0.054924494513365368, 0.054928606769639669, 0.054935462393147366, 0.05494506435082426, 0.054957417142628723, 0.05497252715145521, 0.054990403098538608, 0.055011056608968614, 0.055034502893528264, 0.055060761555041728, 0.055089857529851106, 0.055121822178089711, 0.055156694540224191, 0.055194522782095516, 0.055235365856659314, 0.055279295418147044, 0.05532639803386482, 0.055376777750900968, 0.055430559090414624, 0.055487890561950449, 0.055548948815830231, 0.055613943585039648, 0.055683123611927954, 0.055756783813253566, 0.055835274015075202, 0.055919009694450662, 0.056008485309066672, 0.056104290995261256, 0.056207133693860788, 0.056317864158737671, 0.056437511871566023, 0.056567330715998579, 0.056708859495331478, 0.056864003236179628, 0.057035144081720328, 0.057225295077252283, 0.057438317394275518, 0.057679233508691294, 0.057954689210993386, 0.058273653116997691, 0.058648507626960625, 0.05909680948122293, 0.059644246158937042, 0.060329838947709019, 0.06121562988240889, 0.062405999180470809, 0.064089642407062136, 0.066641461048889294, 0.070909450212602518, 0.079211867600741559, 0.10013332209124526, 0.18844764188978302, 0.44239999397378477, 0.095955660416246508, 0.060952992804844217, 0.054652753813838724, 0.053059873992378513, 0.052682864948054887, 0.052695223006738866, 0.052842851463868717, 0.053034700975504584, 0.053235122525448632, 0.053429599833724278, 0.053612301794938193, 0.053781115849209367, 0.053935531482469677, 0.054075700565953351, 0.054202014932215756, 0.054314922569541436, 0.054414857865117308, 0.054502227326006007, 0.054577421786928981, 0.054640839854057918, 0.054692913948454089, 0.054734133691010531, 0.054765063318882201, 0.054786351185764942, 0.054798730540400534, 0.054803011810902087, 0.054800067526134227, 0.054790811704658222, 0.054776175963297882, 0.054757084705137252, 0.054734431557148196, 0.054709058805559804, 0.054681741017847618, 0.054653173445919863, 0.054623965263292169, 0.054594637259334562, 0.05456562332359724, 0.054537274902107476, 0.05450986757493053, 0.054483608959551517, 0.054458647255123623, 0.054435079879431428, 0.054412961791224804, 0.054392313220409556, 0.054373126639054241, 0.054355372894040126, 0.054339006487736756, 0.054323970038733876, 0.05431019798378621, 0.054297619598352991, 0.05428616141980943, 0.054275749157453521, 0.054266309169169004, 0.054257769577789883, 0.054250061092153343, 0.054243117589406212, 0.054236876506939417, 0.054231279084708907, 0.054226270491854245, 0.054221799865511927, 0.054217820284544624, 0.054214288696517558, 0.054211165812584478, 0.054208415981904588, 0.054206007054728146, 0.054203910241268541, 0.054202099971856543, 0.054200553762578027, 0.054199252089574899, 0.054198178274386284, 0.054197318382086766, 0.0541966611335001, 0.054196197832403079, 0.054195922308360137, 0.054195830875621319, 0.054195843498336574, 0.054195881379428101, 0.054195944557728679, 0.054196033097943956, 0.054196147090629483, 0.054196286652156658, 0.054196451924668411, 0.05419664307602249, 0.054196860299721053, 0.054197103814825939, 0.054197373865856401, 0.054197670722667901, 0.054197994680309641, 0.054198346058856268, 0.054198725203213366, 0.054199132482889566, 0.054199568291733932, 0.054200033047631754, 0.05420052719215495, 0.05420105119016011, 0.054201605529327249, 0.054202190719633524, 0.054202807292751301, 0.054203455801362668, 0.054204136818379822, 0.054204850936059451, 0.054205598764998475, 0.054206380932996387, 0.054207198083769115, 0.054208050875495344, 0.054208939979176557, 0.054209866076788002, 0.054210829859196105, 0.054211832023815208, 0.054212873271972044, 0.054213954305945222, 0.054215075825640301, 0.054216238524858684, 0.054217443087112273, 0.054218690180931665, 0.054219980454608019, 0.054221314530302274, 0.054222692997448335, 0.054224116405366882, 0.054225585254997037, 0.054227099989642751, 0.0542286609846164, 0.054230268535650744, 0.054231922845931216, 0.054233624011585657, 0.054235372005446897, 0.054237166658880266, 0.05423900764144398, 0.054240894438118831, 0.054242826323813526, 0.054244802334811527, 0.054246821236784565, 0.054248881488949366, 0.054250981203888597, 0.054253118102495237, 0.054255289463428703, 0.054257492066389322, 0.054259722128425197, 0.054261975232381035, 0.054264246246477139, 0.05426652923386785, 0.05426881735087357, 0.05427110273239498, 0.054273376362816206, 0.054275627930459973, 0.054277845663389827, 0.054280016144037969, 0.054282124099779873, 0.054284152166166839, 0.05428608061905469, 0.054287887071334862, 0.054289546129362695, 0.054291029003492773, 0.054292303066361479, 0.054293331351709384, 0.054294071985612882, 0.054294477541029507, 0.05429449430558974, 0.05429406145168493, 0.054293110097248354, 0.054291562245459481, 0.054289329592334137, 0.054286312193487091, 0.054282396986395857, 0.054277456174122024, 0.054271345493735697, 0.054263902422748339, 0.054254944428281125, 0.054244267451011061, 0.054231644964146189, 0.054216828200342168, 0.054199548573916789, 0.054179524081867755, 0.054156472804065971, 0.054130139032222642, 0.054100341999185744, 0.054067065592472825, 0.054030623874879689, 0.053991970556406768, 0.053953291059915982, 0.053919172692894458, 0.053899019057002256, 0.053912315887796151, 0.054000965077060419, 0.054260981301646652, 0.054934642249683141, 0.056728102810009819, 0.062213255559231372, 0.084850203471202881, 0.2261328851506012, 0.2088895545907265, 0.10682085626026366, 0.081779251474647985, 0.072481826393594212, 0.067987321157805147, 0.065456079233337988, 0.0638915897814121, 0.062868989005944856, 0.062181814159725582, 0.061720505204331685, 0.061423863099638029, 0.061257530100790492, 0.061203895773754888, 0.061257530100790575, 0.061423863099638071, 0.061720505204331588, 0.062181814159725547, 0.062868989005945286, 0.06389158978141099, 0.065456079233340347, 0.067987321157806549, 0.072481826393595516, 0.081779251474670744, 0.10682085626027822, 0.20888955459082009, 0.22613288515069266, 0.084850203471204907, 0.06221325555923439, 0.056728102810009194, 0.054934642249683308, 0.054260981301646721, 0.054000965077060391, 0.053912315887796172, 0.053899019057002201, 0.053919172692894514, 0.053953291059915996, 0.053991970556406803, 0.054030623874879703, 0.054067065592472818, 0.054100341999185779, 0.054130139032222656, 0.054156472804065936, 0.054179524081867832, 0.05419954857391681, 0.054216828200342168, 0.054231644964146231, 0.054244267451011137, 0.054254944428281111, 0.054263902422748284, 0.054271345493735655, 0.054277456174122031, 0.054282396986395857, 0.054286312193487125, 0.054289329592334165, 0.054291562245459439, 0.054293110097248409, 0.054294061451684958, 0.054294494305589684, 0.054294477541029472, 0.054294071985612896, 0.054293331351709405, 0.054292303066361451, 0.054291029003492787, 0.05428954612936273, 0.054287887071334799, 0.054286080619054669, 0.054284152166166846, 0.054282124099779859, 0.054280016144037942, 0.054277845663389869, 0.054275627930459952, 0.05427337636281615, 0.054271102732394938, 0.054268817350873508, 0.05426652923386787, 0.054264246246477126, 0.054261975232381091, 0.054259722128425197, 0.054257492066389357, 0.054255289463428689, 0.054253118102495203, 0.054250981203888562, 0.054248881488949408, 0.054246821236784558, 0.054244802334811479, 0.054242826323813526, 0.054240894438118858, 0.054239007641444049, 0.054237166658880308, 0.054235372005446883, 0.054233624011585643, 0.054231922845931174, 0.054230268535650751, 0.054228660984616456, 0.054227099989642716, 0.054225585254997002, 0.054224116405366875, 0.054222692997448356, 0.054221314530302274, 0.054219980454608005, 0.054218690180931658, 0.054217443087112217, 0.054216238524858684, 0.054215075825640321, 0.054213954305945236, 0.054212873271972023, 0.054211832023815208, 0.05421082985919614, 0.054209866076788016, 0.054208939979176515, 0.054208050875495316, 0.054207198083769052, 0.05420638093299638, 0.054205598764998503, 0.054204850936059465, 0.054204136818379774, 0.054203455801362661, 0.05420280729275128, 0.054202190719633503, 0.054201605529327297, 0.054201051190160082, 0.054200527192155006, 0.054200033047631796, 0.054199568291733939, 0.054199132482889552, 0.054198725203213373, 0.054198346058856331, 0.05419799468030962, 0.054197670722667957, 0.054197373865856394, 0.054197103814825939, 0.054196860299721081, 0.054196643076022469, 0.054196451924668432, 0.054196286652156672, 0.054196147090629462, 0.054196033097943984, 0.054195944557728699, 0.054195881379428136, 0.054195843498336581, 0.054195830875621243, 0.054195837186880882, 0.054195856125956801, 0.054195887708741994, 0.054195931961729629, 0.054195988922021154, 0.054196058637337195, 0.054196141166030963, 0.054196236577105365, 0.054196344950232796, 0.054196466375777484, 0.054196600954821005, 0.054196748799190023, 0.054196910031487196, 0.054197084785123584, 0.05419727320435419, 0.054197475444315094, 0.054197691671062816, 0.054197922061615091, 0.054198166803993635, 0.054198426097267334, 0.054198700151597799, 0.054198989188284384, 0.054199293439810226, 0.054199613149888505, 0.054199948573508176, 0.054200299976979158, 0.054200667637976284, 0.054201051845582264, 0.054201452900327886, 0.054201871114229895, 0.054202306810826044, 0.054202760325205872, 0.054203232004037198, 0.054203722205587231, 0.054204231299738087, 0.054204759667994616, 0.054205307703485361, 0.054205875810953652, 0.054206464406739631, 0.054207073918750848, 0.054207704786420251, 0.05420835746065121, 0.054209032403746332, 0.054209730089320701, 0.054210451002195778, 0.054211195638273563, 0.054211964504388588, 0.054212758118135584, 0.054213577007670509, 0.05421442171148267, 0.054215292778135943, 0.054216190765974809, 0.054217116242793954, 0.054218069785466727, 0.054219051979530662, 0.054220063418724415, 0.054221104704474582, 0.054222176445325558, 0.054223279256310514, 0.054224413758256866, 0.054225580577022169, 0.054226780342654553, 0.054228013688471688, 0.054229281250053031, 0.054230583664137501, 0.054231921567420627, 0.054233295595243043, 0.054234706380162936, 0.054236154550403363, 0.054237640728166475, 0.054239165527804341, 0.054240729553836617, 0.054242333398805104, 0.05424397764095331, 0.054245662841719715, 0.054247389543032098, 0.054249158264390779, 0.054250969499726041, 0.054252823714016622, 0.054254721339653811, 0.054256662772536324, 0.054258648367879608, 0.054260678435722749, 0.054262753236117442, 0.054264872973979202, 0.0542670377935855, 0.0542692477727005, 0.054271502916310006, 0.054273803149945905, 0.0542761483125846, 0.054278538149098478, 0.054280972302244983, 0.054283450304175328, 0.05428597156744653, 0.054288535375524007, 0.054291140872758423, 0.054293787053829944, 0.054296472752648074, 0.054299196630703379, 0.054301957164869727, 0.054304752634658233, 0.054307581108932419, 0.054310440432096228, 0.054313328209776718, 0.054316241794027845, 0.054319178268092135, 0.054322134430767242, 0.054325106780432876, 0.054328091498807775, 0.054331084434519152, 0.054334081086581915, 0.054337076587898971, 0.054340065688914772, 0.054343042741568419, 0.054346001683717178, 0.054348936024216324, 0.054351838828869049, 0.054354702707477227, 0.054357519802250932, 0.054360281777854506, 0.054362979813391749, 0.054365604596653822, 0.054368146320973879, 0.054370594685051794, 0.054372938896126349, 0.054375167676886806, 0.054377269276520028, 0.054379231486293825, 0.054384153288679286, 0.054387342497782196, 0.054388413806558643, 0.054386972288283805, 0.054382632060540781, 0.054375039181272122, 0.054363897366752241, 0.05434899420973064, 0.054330224825360998, 0.054307609513609273, 0.054281302309313155, 0.05425158826967201, 0.054218868897451547, 0.054183636893654581, 0.054146443045013266, 0.054107859084216538, 0.054068440590181177, 0.054028693434814867, 0.053989046153462207, 0.053949829250370375, 0.053911261172498427, 0.053873439727140968, 0.053836337194512043, 0.053799797319046855, 0.053763532754685935, 0.053727122468401278, 0.053690010372134105, 0.053651509836592948, 0.053610825562362026, 0.053567118731194005, 0.053519673308214402, 0.053468295195113799, 0.053414255497705058, 0.053362554185897818, 0.053327583296671449, 0.05334830408854465, 0.053533292826754196, 0.054215932651824519, 0.056624088538448046, 0.067061122628330722, 0.14878267175714574, 0.41811754564775883, 0.13297213761011331, 0.090923772044776349, 0.078324790447427614, 0.072866228238141373, 0.070037981193338775, 0.068429230205557551, 0.06747130766200464, 0.066892449243986241, 0.066545081334744904, 0.066340369050365097, 0.066220137576238958, 0.066143765332782559, 0.06608173175436137, 0.066012338452796165, 0.065919986270114736, 0.065794188183231128, 0.065628880763606609, 0.065421806211156952, 0.065173864976847531, 0.064888420063598573, 0.064570581190541557, 0.064226517009739276, 0.063862843222498564, 0.063486121418231775, 0.063102485256965907, 0.06271739316555007, 0.06233549357973877, 0.061960581183746199, 0.061595620125978717, 0.061242811485113527, 0.060903685776399812, 0.060579205693020693, 0.060269868635536981, 0.059975802357484939, 0.059696850027054604, 0.059432643162341772, 0.059182662343667258, 0.05894628648846393, 0.058722831942185423, 0.058511582823004782, 0.058311814061857689, 0.058122808478459895, 0.057943869080688645, 0.057774327603246099, 0.057613550132444451, 0.057460940508640493, 0.057315942061503533, 0.057178038117386525, 0.057046751621823634, 0.056921644141703427, 0.056802314448643781, 0.056688396835067212, 0.05657955927520477, 0.056475501512709976, 0.056375953133013218, 0.056280671660562907, 0.056189440707484356, 0.056102068189995441, 0.056018384621394697, 0.055938241484967878, 0.055861509686291312, 0.055788078081760832, 0.055717852078483891, 0.055650752299692477, 0.055586713309434217, 0.055525682390318784, 0.05546761836845706, 0.055412490480345286, 0.055360277277261394, 0.055310965563689821, 0.055264549367349543, 0.055221028939516158, 0.055180409785466955, 0.055142701726008499, 0.055107917992132389, 0.055076074355847382, 0.055047188301143787, 0.055021278239793039, 0.054998362777288347, 0.054978460034633012, 0.054961587031882905, 0.054947759139340926, 0.054936989602058874, 0.054929289142869216, 0.054924665648519867, 0.05492312394266631, 0.054924151748205037, 0.054927234099632127, 0.054932367811950565, 0.054939547611918479, 0.0549487661901829, 0.054960014273274106, 0.054973280714483534, 0.054988552602377311, 0.055005815385445203, 0.055025053011140156, 0.055046248077327158, 0.055069381993940125, 0.055094435152430267, 0.055121387100381634, 0.055150216718469099, 0.055180902396724733, 0.055213422206878408, 0.055247754067308384, 0.055283875896906642, 0.055321765753897564, 0.055361401955349776, 0.055402763172785571, 0.05544582849889599, 0.055490577479926396, 0.05553699010777427, 0.055585046765246338, 0.055634728117249101, 0.055686014939923083, 0.055738887878882822, 0.055793327126797999, 0.055849312009551573, 0.055906820469166799, 0.055965828430636175, 0.056026309038755322, 0.056088231750151527, 0.056151561264975634, 0.056216256282335592, 0.056282268063664272, 0.056349538789029194, 0.056417999693192465, 0.056487568971328707, 0.056558149449100099, 0.056629626018716198, 0.056701862852170673, 0.056774700415574107, 0.056847952324914769, 0.056921402104125086, 0.056994799931325418, 0.057067859488583325, 0.057140255064091108, 0.057211619092351174, 0.057281540355980105, 0.057349563109340855, 0.057415187415448724, 0.057477871008336991, 0.057537032997053754, 0.057592059707674809, 0.057642312909043147, 0.057687140580226726, 0.057725890249093165, 0.057757924762079839, 0.057782640140943212, 0.057799484955593949, 0.057807980412948219, 0.057807740156307845, 0.057798488618276828, 0.057780076702525218, 0.057752493610134473, 0.057715873787938549, 0.05767049825660156, 0.057616789954572575, 0.057555303173160523, 0.057486707608444106, 0.057411767963936308, 0.057331320355063872, 0.057246246956998682, 0.057157450384512191, 0.057065829200443167, 0.056972255740733828, 0.056877557154515888, 0.056782500228944634, 0.056687780240585545, 0.056594013781252943, 0.056501735268987059, 0.056411396685611598, 0.056323369982094397, 0.056237951554927772, 0.056155368209243224, 0.056075784073574046, 0.055999308003435805, 0.055926001094252865, 0.055855884009155934, 0.055788943907078781, 0.055725140827178658, 0.055664413444792983, 0.055606684161423982, 0.055551863527203975, 0.055499854020174766, 0.055450553224102681, 0.05540385645706844, 0.055359658908286563, 0.055317857341900555, 0.055278351425027371, 0.055241044734032858, 0.055205845488631507, 0.055172667058474928, 0.055141428281809061, 0.055112053630811605, 0.055084473253547761, 0.05505862291819609, 0.055034443881354173, 0.055011882698843675, 0.054990890994482983, 0.054971425199761226, 0.054953446275182692, 0.054936919422226019, 0.054921813793327237, 0.054908102206015566, 0.054895760866265728, 0.054884769105246221, 0.054875109132908551, 0.054866765811256865, 0.054859726449624301, 0.054853980623862882, 0.054849520020986843, 0.054846338310501147, 0.054844431043378807, 0.054843795579403283], [0.05549699172337199, 0.055498401973716464, 0.055502633337068841, 0.05550968770199996, 0.055519568388629259, 0.055532280409000101, 0.055547830834958178, 0.055566229277155689, 0.055587488480215871, 0.055611625040825181, 0.05563866025765879, 0.055668621124688789, 0.055701541482731931, 0.055737463348225769, 0.055776438443393091, 0.055818529958451317, 0.055863814584717231, 0.055912384867819132, 0.055964351943406265, 0.05601984873461225, 0.056079033712231524, 0.056142095346731917, 0.056209257418017765, 0.056280785397381988, 0.056356994180605788, 0.05643825753782155, 0.056525019763323442, 0.056617810169737291, 0.05671726129466071, 0.056824132002086171, 0.056939337108125571, 0.057063985806221511, 0.05719943211363715, 0.057347341972256528, 0.057509783779239154, 0.057689352441223633, 0.057889342298361374, 0.058113992782860543, 0.058368844867864256, 0.058661270725486304, 0.059001282278429663, 0.059402804171863111, 0.059885750656484604, 0.060479558268410831, 0.061229498971255833, 0.062208653747358164, 0.06354234437279406, 0.06546279675426675, 0.068447028062187554, 0.073626311973418804, 0.084326402715617602, 0.11450130421386898, 0.27340261683427974, 0.26956444414455177, 0.079083888960607446, 0.05874920441275247, 0.054515929815848116, 0.053415402278270019, 0.053191994687644947, 0.053260054375442963, 0.053429638401117294, 0.05363047700149555, 0.053834585760896475, 0.054030532161864903, 0.054213793310619977, 0.054382821888554624, 0.054537343914535109, 0.054677596810489816, 0.054803987430292862, 0.054916946369770035, 0.055016877067859508, 0.055104151316577143, 0.055179126848431966, 0.055242173918617098, 0.055293703246244767, 0.055334190498960691, 0.055364194192446918, 0.055384365131209021, 0.055395446633335156, 0.055398265830681366, 0.055393717270362991, 0.05538274077100043, 0.055366295923487366, 0.055345335730368393, 0.055320781667599454, 0.055293501997462649, 0.055264294564063357, 0.055233874672096762, 0.055202868078171458, 0.055171808674194737, 0.055141140142084336, 0.055111220706328568, 0.05508233008292332, 0.05505467778680647, 0.055028412080249868, 0.055003628991203105, 0.054980380979973049, 0.054958684969390728, 0.054938529569272775, 0.054919881417424092, 0.054902690627207672, 0.054886895378543125, 0.054872425718757056, 0.054859206655869366, 0.054847160633225506, 0.054836209473896579, 0.054826275878412559, 0.054817284551984848, 0.054809163028762965, 0.054801842251756987, 0.054795256958441035, 0.054789345914082063, 0.054784052027695089, 0.05477932237927511, 0.054775108181589018, 0.054771364695272093, 0.054768051112186709, 0.054765130418872605, 0.05476256924936463, 0.05476033773458476, 0.054758409353855571, 0.054756760792761358, 0.054755371810543928, 0.0547542251194044, 0.054753306277455338, 0.054752603596585833, 0.054752108066136243, 0.054751813293007337, 0.054751715458622292, 0.054751729104437541, 0.054751770056018424, 0.054751838355767968, 0.054751934074349119, 0.054752057310671884, 0.054752208191873791, 0.054752386873294194, 0.054752593538440184, 0.054752828398943659, 0.054753091694507948, 0.054753383692841787, 0.054753704689578866, 0.054754055008180882, 0.054754434999819745, 0.054754845043238659, 0.054755285544585156, 0.054755756937214899, 0.054756259681459529, 0.054756794264355382, 0.054757361199325741, 0.054757961025810785, 0.054758594308839184, 0.05475926163853112, 0.054759963629525982, 0.054760700920323466, 0.054761474172527427, 0.054762284069980266, 0.054763131317773328, 0.054764016641119163, 0.054764940784067011, 0.054765904508043577, 0.054766908590197047, 0.054767953821520866, 0.054769041004730568, 0.054770170951863886, 0.054771344481571588, 0.054772562416061536, 0.054773825577655227, 0.054775134784910071, 0.054776490848257031, 0.054777894565095291, 0.054779346714279704, 0.054780848049929637, 0.054782399294478222, 0.054784001130872138, 0.054785654193821059, 0.054787359059983318, 0.054789116236961637, 0.054790926150965896, 0.054792789132983549, 0.054794705403279111, 0.054796675054019681, 0.054798698029801599, 0.054800774105821466, 0.054802902863406472, 0.054805083662578788, 0.054807315611290874, 0.054809597530919095, 0.054811927917552072, 0.054814304898548064, 0.054816726183768497, 0.0548191890108157, 0.054821690083513126, 0.054824225502766555, 0.054826790688827044, 0.05482938029384346, 0.054831988103443453, 0.054834606925903417, 0.054837228467274901, 0.054839843190601339, 0.054842440157103399, 0.05484500684690842, 0.054847528956558401, 0.054849990170140604, 0.054852371900433676, 0.054854652995955537, 0.05485680940921718, 0.054858813820832811, 0.054860635213402197, 0.054862238388268363, 0.054863583417365365, 0.054864625021431461, 0.054865311864903149, 0.054865585756899614, 0.054865380746978491, 0.054864622103996827, 0.054863225166795773, 0.0548610940571145, 0.054858120249063204, 0.054854180997185399, 0.054849137639150169, 0.05484283381360535, 0.054835093675685065, 0.054825720263824394, 0.054814494291920084, 0.054801173845079793, 0.054785495806032189, 0.054767180441568447, 0.054745941633179335, 0.054721507116003848, 0.054693656512176739, 0.054662291330206281, 0.054627563369113494, 0.054590112344602738, 0.05455151395830684, 0.054515148795526769, 0.054487952197686824, 0.05448411538485784, 0.054533421658341193, 0.054701607688173136, 0.055145674526625124, 0.056287339730011994, 0.059479105347930494, 0.07046354429889129, 0.12707633579190791, 0.31199838643601657, 0.14324813308040074, 0.093148476112243236, 0.077852172585241977, 0.071252185283817479, 0.067781430002235854, 0.065729289718862646, 0.064427668177881856, 0.063571080716771686, 0.06300435077883848, 0.062643491706905211, 0.062442386156623578, 0.062377729607298579, 0.06244238615662371, 0.062643491706905252, 0.063004350778838411, 0.063571080716771644, 0.064427668177882425, 0.065729289718861356, 0.06778143000223906, 0.071252185283819491, 0.077852172585243767, 0.093148476112283288, 0.14324813308043313, 0.31199838643606809, 0.12707633579194602, 0.070463544298891831, 0.059479105347932278, 0.056287339730011689, 0.055145674526625242, 0.054701607688173129, 0.05453342165834122, 0.054484115384857895, 0.054487952197686776, 0.054515148795526831, 0.05455151395830684, 0.054590112344602773, 0.054627563369113522, 0.054662291330206274, 0.05469365651217678, 0.054721507116003855, 0.054745941633179307, 0.05476718044156853, 0.05478549580603221, 0.054801173845079786, 0.054814494291920125, 0.054825720263824471, 0.054835093675685072, 0.054842833813605267, 0.054849137639150121, 0.054854180997185406, 0.054858120249063218, 0.054861094057114548, 0.05486322516679578, 0.054864622103996785, 0.05486538074697854, 0.054865585756899635, 0.05486531186490308, 0.054864625021431461, 0.054863583417365372, 0.054862238388268397, 0.05486063521340219, 0.054858813820832839, 0.054856809409217201, 0.054854652995955468, 0.054852371900433648, 0.054849990170140618, 0.054847528956558388, 0.054845006846908378, 0.054842440157103427, 0.054839843190601326, 0.054837228467274853, 0.054834606925903376, 0.054831988103443391, 0.05482938029384346, 0.054826790688827037, 0.054824225502766617, 0.054821690083513133, 0.054819189010815714, 0.054816726183768504, 0.054814304898548022, 0.054811927917552024, 0.054809597530919123, 0.05480731561129086, 0.054805083662578767, 0.054802902863406472, 0.054800774105821501, 0.05479869802980164, 0.054796675054019681, 0.054794705403279083, 0.054792789132983549, 0.054790926150965841, 0.054789116236961664, 0.054787359059983359, 0.054785654193821039, 0.054784001130872131, 0.054782399294478208, 0.054780848049929644, 0.054779346714279697, 0.054777894565095298, 0.054776490848257017, 0.054775134784910029, 0.054773825577655227, 0.054772562416061543, 0.054771344481571581, 0.054770170951863859, 0.054769041004730581, 0.054767953821520887, 0.054766908590197075, 0.054765904508043528, 0.054764940784066997, 0.054764016641119108, 0.054763131317773328, 0.054762284069980287, 0.054761474172527427, 0.05476070092032341, 0.054759963629525954, 0.054759261638531079, 0.054758594308839149, 0.05475796102581082, 0.054757361199325706, 0.05475679426435541, 0.054756259681459571, 0.054755756937214892, 0.054755285544585169, 0.054754845043238666, 0.054754434999819808, 0.054754055008180855, 0.054753704689578908, 0.054753383692841787, 0.054753091694507941, 0.054752828398943673, 0.05475259353844017, 0.054752386873294208, 0.054752208191873812, 0.054752057310671835, 0.054751934074349133, 0.054751838355767989, 0.054751770056018452, 0.054751729104437555, 0.05475171545862223, 0.054751722281397602, 0.054751742755204003, 0.054751776896484416, 0.054751824732648779, 0.054751886302082109, 0.054751961654155551, 0.054752050849240119, 0.054752153958723876, 0.054752271065032124, 0.054752402261649895, 0.054752547653147944, 0.05475270735521074, 0.054752881494667734, 0.054753070209526238, 0.054753273649007297, 0.054753491973583146, 0.054753725355017102, 0.054753973976404455, 0.05475423803221581, 0.054754517728340543, 0.054754813282132407, 0.054755124922454927, 0.054755452889727552, 0.054755797435971781, 0.054756158824857029, 0.054756537331745542, 0.054756933243735977, 0.05475734685970602, 0.054757778490351766, 0.054758228458224943, 0.054758697097766804, 0.054759184755337607, 0.054759691789241664, 0.054760218569746402, 0.054760765479095815, 0.054761332911515873, 0.054761921273212326, 0.054762530982358566, 0.054763162469073902, 0.054763816175389772, 0.054764492555202805, 0.054765192074214548, 0.054765915209854132, 0.054766662451184674, 0.05476743429878958, 0.054768231264638631, 0.054769053871930547, 0.054769902654910455, 0.054770778158660036, 0.054771680938857238, 0.054772611561504154, 0.054773570602618511, 0.054774558647887252, 0.054775576292277944, 0.054776624139605025, 0.054777702802046746, 0.054778812899609633, 0.054779955059534452, 0.054781129915641283, 0.054782338107607229, 0.054783580280171995, 0.054784857082266103, 0.054786169166054978, 0.054787517185893822, 0.054788901797185229, 0.054790323655133345, 0.054791783413386308, 0.054793281722559761, 0.054794819228631511, 0.054796396571199966, 0.054798014381595192, 0.054799673280833433, 0.054801373877404053, 0.054803116764877764, 0.054804902519324024, 0.054806731696525182, 0.054808604828974899, 0.05481052242264603, 0.054812484953514692, 0.054814492863825053, 0.05481654655807975, 0.054818646398739707, 0.054820792701616286, 0.054822985730940264, 0.05482522569408807, 0.054827512735949456, 0.054829846932917189, 0.054832228286481453, 0.054834656716409726, 0.054837132053495698, 0.054839654031857442, 0.054842222280769355, 0.054844836316010781, 0.054847495530715329, 0.054850199185708923, 0.054852946399321229, 0.054855736136664522, 0.05485856719836929, 0.054861438208774024, 0.054864347603569542, 0.054867293616900299, 0.054870274267934394, 0.05487328734691533, 0.054876330400720118, 0.054879400717951964, 0.054882495313607386, 0.05488561091336714, 0.054888743937569609, 0.054891890484939428, 0.054895046316156985, 0.054898206837370019, 0.054901367083761317, 0.054904521703309353, 0.054907664940891429, 0.054910790622903702, 0.054913892142588364, 0.054916962446284232, 0.054919994020836305, 0.054922978882423597, 0.054925908567087206, 0.05492877412326215, 0.054931566106639004, 0.054934274577699539, 0.054936889102290221, 0.054939398755609541, 0.054941792129999424, 0.054944057346933195, 0.054946182073596972, 0.054951583660172852, 0.054955238859260062, 0.05495676026036761, 0.054955751856210933, 0.054951827953310675, 0.054944636256669017, 0.05493388369787696, 0.054919362681032736, 0.054900974692179576, 0.054878747900083423, 0.05485284567098174, 0.054823563896181135, 0.054791316561948397, 0.054756610758656343, 0.054720013909982511, 0.054682117018391804, 0.054643497952142316, 0.054604688253856976, 0.054566145846543269, 0.054528234672349955, 0.054491211038459948, 0.05445521549033059, 0.05442026849553689, 0.054386268121788109, 0.054352988222908932, 0.054320076460800629, 0.054287053031475671, 0.054253313879200016, 0.05421814799715808, 0.054180790604160804, 0.054140560669073488, 0.054097192179220523, 0.054051614557366366, 0.054007808857371713, 0.053977382636808575, 0.05399156203890329, 0.05413567109881659, 0.054662546941050619, 0.056448353508195014, 0.063513469731330333, 0.10779549101582769, 0.51583082520821977, 0.16620986053370712, 0.09946556460795429, 0.082416026424232375, 0.075563202586282407, 0.072160668671208572, 0.070280302945850318, 0.069186817350898072, 0.068541745569924858, 0.068166085426909218, 0.067954032176344756, 0.067837097461688048, 0.06776777110713382, 0.067711659092146131, 0.067643584429385312, 0.067545592707286994, 0.06740583151789703, 0.067217759634626478, 0.066979407661727289, 0.066692575450856828, 0.066361955131144512, 0.065994227214523443, 0.065597199426142755, 0.065179053064818124, 0.064747740846651136, 0.064310553941653595, 0.063873852294315026, 0.063442935720188262, 0.063022024760498674, 0.062614318680474915, 0.062222101126750043, 0.061846869565205173, 0.061489470920289731, 0.061150231679380308, 0.060829075531075645, 0.060525625208242215, 0.060239287687407592, 0.059969323454851765, 0.059714901415297478, 0.059475141401773908, 0.059249146316030003, 0.059036025815640616, 0.058834913255849719, 0.058644977349496322, 0.05846542976253663, 0.058295529635275595, 0.058134585819674713, 0.057981957453724302, 0.057837053353941334, 0.057699330593730155, 0.057568292545004611, 0.05744348658941964, 0.057324501650280912, 0.05721096565365115, 0.057102542994719889, 0.056998932060987585, 0.056899862845489806, 0.056805094669735108, 0.056714414026148151, 0.056627632542735819, 0.05654458506774513, 0.056465127868752504, 0.056389136938509901, 0.056316506398687224, 0.056247146992143289, 0.056180984654389282, 0.05611795915532182, 0.056058022803013981, 0.05600113920228738, 0.055947282061885401, 0.055896434045271191, 0.055848585661360618, 0.055803734192818727, 0.055761882660869885, 0.055723038826864024, 0.055687214232072416, 0.0556544232783183, 0.055624682353067167, 0.055598009003445949, 0.055574421164347389, 0.055553936446243575, 0.055536571488588884, 0.055522341384723096, 0.055511259183973836, 0.055503335476238314, 0.055498578063682497, 0.05549699172337199, 0.055498049284065168, 0.055501220896922068, 0.055506503365325637, 0.055513891398262849, 0.055523377664838225, 0.055534952869570983, 0.055548605847471226, 0.055564323677611681, 0.055582091813652, 0.055601894229521318, 0.055623713578221892, 0.055647531361489887, 0.055673328107827942, 0.055701083556210493, 0.055730776842554453, 0.055762386685832055, 0.055795891570493091, 0.055831269921623419, 0.055868500269023416, 0.055907561396107759, 0.055948432469209879, 0.055991093142515935, 0.056035523633425656, 0.056081704762659654, 0.056129617952863552, 0.056179245178811017, 0.056230568861570469, 0.056283571698156926, 0.056338236417251088, 0.056394545450532421, 0.056452480508047728, 0.056512022044847808, 0.056573148604903381, 0.056635836027097756, 0.056700056496982579, 0.056765777427048129, 0.056832960147651684, 0.056901558390645215, 0.05697151654836588, 0.0570427676922972, 0.057115231338729207, 0.05718881095356599, 0.057263391195552488, 0.057338834907177949, 0.057414979875966603, 0.057491635406397922, 0.057568578764851351, 0.057645551587158908, 0.057722256370677572, 0.057798353209947785, 0.057873456976001832, 0.057947135182357098, 0.058018906822698502, 0.058088242501907174, 0.058154566207722497, 0.058217259077886462, 0.058275665499112193, 0.058329101821417866, 0.058376867876999972, 0.058418261352139601, 0.058452594873328607, 0.058479215440914112, 0.058497525588978652, 0.058507005391245155, 0.058507234199346579, 0.0584979108263258, 0.05847887080911477, 0.058450099427061593, 0.058411739334576725, 0.058364091981709679, 0.058307612423249999, 0.058242897611697757, 0.058170668775450171, 0.058091748939422004, 0.058007036995673764, 0.057917479936727925, 0.057824044906455624, 0.057727692609036117, 0.057629353372871187, 0.057529906835222654, 0.057430165842394257, 0.057330864794855496, 0.057232652343420572, 0.057136088085797745, 0.05704164273375914, 0.05694970111960955, 0.056860567377735399, 0.056774471658847178, 0.05669157779519967, 0.056611991419248803, 0.056535768132706408, 0.056462921417578901, 0.056393430068445737, 0.056327245001691624, 0.056264295360702668, 0.056204493885930996, 0.056147741556117951, 0.056093931533376162, 0.056042952462119031, 0.055994691181831854, 0.055949034918145193, 0.055905873017100906, 0.055865098285144785, 0.05582660799323997, 0.055790304598330016, 0.05575609622976245, 0.0557238969826045, 0.05569362705431273, 0.055665212756126736, 0.055638586425931794, 0.055613686265219731, 0.055590456119169768, 0.055568845215751304, 0.055548807877084834, 0.055530303214034418, 0.05551329481310617, 0.055497750423138099, 0.055483641647948986, 0.055470943650021351, 0.055459634869392781, 0.055449696761184407, 0.055441113554583941, 0.055433872035585668, 0.055427961355369502, 0.055423372865837262, 0.055420099983517622, 0.055418138082786776, 0.05541748441910857], [0.056088569407520592, 0.056090020826617043, 0.056094375768936125, 0.056101636343816132, 0.056111806248149015, 0.056124891040144398, 0.056140898526257879, 0.056159839265233165, 0.056181727194743673, 0.056206580387999881, 0.056234421950012763, 0.056265281066070698, 0.056299194218580845, 0.056336206592912781, 0.056376373698505781, 0.05641976323857309, 0.056466457270667021, 0.056516554711683667, 0.056570174255296181, 0.056627457788292146, 0.056688574416122295, 0.056753725238966997, 0.056823149060221421, 0.056897129262971947, 0.056976002161601633, 0.057060167232052199, 0.057150099755448498, 0.057246366590266877, 0.057349646039509823, 0.057460753133612083, 0.057580672156061774, 0.057710598972823525, 0.057851996807997366, 0.058006670728541189, 0.05817686857474863, 0.0583654199281219, 0.058575930852137484, 0.058813062180439052, 0.059082935992318911, 0.059393744143328667, 0.059756685180011503, 0.060187453963324596, 0.06070869996041376, 0.061354265391438616, 0.062176882161562148, 0.063263059574337088, 0.064764215511518647, 0.066968553591590013, 0.070490139510402894, 0.076864540827554784, 0.091000256783550226, 0.13680303844122405, 0.41919885600277074, 0.16288147924879698, 0.070040169039818842, 0.057497283377334396, 0.05459758169711508, 0.053847148681245627, 0.053739052865956809, 0.053850303167232716, 0.054037254723407882, 0.054245304631139767, 0.054452422074225459, 0.054649617562277, 0.05483341563242957, 0.05500272119536545, 0.055157445403123471, 0.055297886910726957, 0.055424455656952198, 0.055537558738063493, 0.055637565356789057, 0.055724810722936328, 0.055799618382070815, 0.055862329662812793, 0.055913333415292969, 0.055953091569034788, 0.055982157510706509, 0.056001185454108079, 0.0560109300800146, 0.056012236797611172, 0.056006023951217149, 0.055993259056123033, 0.055974931600394531, 0.055952025050233681, 0.055925490463719675, 0.055896223627134388, 0.055865046989677439, 0.055832697002593246, 0.055799816865814943, 0.055766954214307121, 0.055734562965581283, 0.055703008395765599, 0.055672574488853897, 0.055643472676461955, 0.055615851216385986, 0.055589804615198704, 0.055565382658621355, 0.055542598757492234, 0.055521437438233415, 0.055501860901861308, 0.055483814645646126, 0.055467232189547244, 0.055452038979518066, 0.055438155555823168, 0.05542550008041059, 0.055413990316308469, 0.055403545146513904, 0.055394085711796499, 0.055385536237640032, 0.055377824611109551, 0.055370882759368689, 0.055364646873223788, 0.055359057511622241, 0.055354059616530595, 0.055349602462054753, 0.055345639556968328, 0.055342128515909236, 0.055339030911282595, 0.055336312115285537, 0.055333941139347836, 0.055331890476585932, 0.05533013595151854, 0.055328656580235454, 0.055327434443383193, 0.055326454573696671, 0.055325704859320847, 0.05532517596380019, 0.055324861263342462, 0.055324756801759946, 0.055324771508134973, 0.055324815642626833, 0.055324889251335357, 0.055324992411091997, 0.055325125229457414, 0.055325287844716853, 0.055325480425873506, 0.05532570317263831, 0.055325956315414607, 0.055326240115277731, 0.055326554863946109, 0.055326900883742744, 0.055327278527545501, 0.055327688178721121, 0.055328130251043779, 0.055328605188590889, 0.055329113465615205, 0.05532965558638727, 0.055330232085004365, 0.05533084352515992, 0.055331490499867152, 0.055332173631131326, 0.055332893569561198, 0.055333650993912742, 0.055334446610554547, 0.055335281152845091, 0.055336155380409202, 0.055337070078300875, 0.05533802605603818, 0.05533902414649227, 0.055340065204613875, 0.055341150105975241, 0.055342279745105284, 0.055343455033592247, 0.055344676897924786, 0.055345946277040273, 0.055347264119543882, 0.055348631380559059, 0.055350049018163969, 0.05535151798936537, 0.055353039245552967, 0.055354613727372194, 0.055356242358945901, 0.055357926041366468, 0.055359665645370877, 0.055361462003100853, 0.055363315898837716, 0.055365228058589407, 0.05536719913839018, 0.055369229711158943, 0.055371320251941247, 0.055373471121338898, 0.05537568254690705, 0.055377954602270608, 0.055380287183681473, 0.055382679983701527, 0.055385132461657639, 0.055387643810469026, 0.055390212919395165, 0.05539283833219584, 0.055395518200126427, 0.055398250229118276, 0.055401031620404849, 0.055403859003759867, 0.055406728362399599, 0.055409634948473618, 0.055412573187924904, 0.055415536573330273, 0.055418517543144918, 0.055421507345553483, 0.055424495884883698, 0.05542747154825052, 0.055430421009772413, 0.055433329009330047, 0.055436178102406329, 0.055438948377065631, 0.055441617133574421, 0.055444158521543087, 0.055446543128767831, 0.055448737515174158, 0.055450703684409429, 0.055452398484723366, 0.055453772929832064, 0.055454771429549479, 0.055455330919186842, 0.055455379876240107, 0.055454837212995697, 0.055453611034861815, 0.055451597257252676, 0.055448678079989544, 0.055444720329523127, 0.055439573699248797, 0.055433068952481686, 0.055425016210781754, 0.0554152035483816, 0.055403396279055606, 0.055389337602932048, 0.055372751762584958, 0.055353351694078692, 0.055330854633734841, 0.055305011794156034, 0.055275663104656328, 0.055242837239725923, 0.055206935161827737, 0.055169071833177021, 0.055131727686415014, 0.055100032314649453, 0.055084405696509055, 0.055106302733017296, 0.055211628476097646, 0.055505093814445933, 0.056249654364713256, 0.058207090702505862, 0.064125721970435812, 0.088113798889894152, 0.23186018330170133, 0.2234808213736284, 0.1135081802718815, 0.085878831735703098, 0.075623551820549945, 0.070684578714739876, 0.067920579600492026, 0.066230051633560896, 0.065144808143935654, 0.064438950816709681, 0.063994624146240048, 0.063748748840462124, 0.063669965682654525, 0.063748748840462333, 0.063994624146240145, 0.064438950816709542, 0.06514480814393564, 0.06623005163356159, 0.067920579600490277, 0.070684578714744262, 0.075623551820552914, 0.08587883173570629, 0.11350818027195962, 0.22348082137370204, 0.23186018330156583, 0.088113798889908113, 0.064125721970436061, 0.058207090702506785, 0.056249654364713041, 0.055505093814445974, 0.055211628476097611, 0.055106302733017372, 0.055084405696509152, 0.055100032314649404, 0.055131727686415055, 0.055169071833177027, 0.055206935161827779, 0.055242837239725971, 0.0552756631046563, 0.055305011794156089, 0.055330854633734841, 0.055353351694078672, 0.055372751762585069, 0.055389337602932062, 0.055403396279055633, 0.055415203548381635, 0.055425016210781837, 0.055433068952481679, 0.05543957369924872, 0.055444720329523106, 0.055448678079989551, 0.055451597257252676, 0.055453611034861849, 0.055454837212995725, 0.055455379876240052, 0.05545533091918689, 0.0554547714295495, 0.055453772929832015, 0.055452398484723345, 0.055450703684409436, 0.055448737515174158, 0.055446543128767824, 0.055444158521543122, 0.055441617133574456, 0.055438948377065568, 0.055436178102406294, 0.05543332900933004, 0.055430421009772406, 0.055427471548250472, 0.05542449588488374, 0.05542150734555347, 0.055418517543144856, 0.055415536573330232, 0.055412573187924856, 0.055409634948473618, 0.055406728362399599, 0.055403859003759916, 0.055401031620404849, 0.055398250229118304, 0.055395518200126434, 0.055392838332195812, 0.055390212919395138, 0.055387643810469046, 0.055385132461657646, 0.055382679983701485, 0.05538028718368148, 0.05537795460227065, 0.055375682546907105, 0.055373471121338898, 0.05537132025194124, 0.055369229711158936, 0.055367199138390145, 0.055365228058589407, 0.055363315898837785, 0.055361462003100825, 0.055359665645370836, 0.055357926041366461, 0.055356242358945935, 0.055354613727372201, 0.055353039245552974, 0.055351517989365349, 0.055350049018163934, 0.055348631380559073, 0.055347264119543889, 0.055345946277040287, 0.055344676897924751, 0.055343455033592254, 0.055342279745105305, 0.055341150105975262, 0.055340065204613841, 0.055339024146492249, 0.055338026056038117, 0.055337070078300882, 0.055336155380409216, 0.055335281152845119, 0.055334446610554498, 0.055333650993912714, 0.05533289356956117, 0.055332173631131285, 0.055331490499867207, 0.055330843525159892, 0.055330232085004392, 0.055329655586387305, 0.055329113465615205, 0.055328605188590868, 0.055328130251043793, 0.055327688178721163, 0.055327278527545466, 0.055326900883742793, 0.055326554863946102, 0.055326240115277737, 0.055325956315414614, 0.055325703172638296, 0.055325480425873527, 0.05532528784471686, 0.055325125229457373, 0.055324992411092018, 0.055324889251335371, 0.055324815642626847, 0.055324771508134973, 0.055324756801759876, 0.055324764154779604, 0.055324786219508378, 0.055324823012956978, 0.05532487456348182, 0.05532494091079309, 0.055325022105966078, 0.055325118211454943, 0.055325229301110307, 0.055325355460199531, 0.055325496785429654, 0.05532565338497368, 0.055325825378498866, 0.055326012897198476, 0.05532621608382491, 0.055326435092726049, 0.055326670089883075, 0.055326921252950759, 0.055327188771298746, 0.055327472846055166, 0.055327773690150329, 0.055328091528362815, 0.055328426597364817, 0.055328779145768441, 0.055329149434171963, 0.055329537735205547, 0.055329944333575951, 0.055330369526109757, 0.055330813621795469, 0.055331276941822334, 0.055331759819616556, 0.055332262600874149, 0.055332785643589052, 0.055333329318076538, 0.055333894006990389, 0.055334480105334136, 0.055335088020463649, 0.055335718172082118, 0.055336370992224396, 0.055337046925231267, 0.055337746427711242, 0.055338469968488679, 0.055339218028537675, 0.055339991100898649, 0.055340789690577638, 0.0553416143144249, 0.055342465500992248, 0.055343343790366213, 0.055344249733975198, 0.055345183894367836, 0.055346146844960364, 0.055347139169750662, 0.055348161462994622, 0.055349214328843474, 0.055350298380937246, 0.055351414241951738, 0.055352562543094383, 0.055353743923545896, 0.05535495902984168, 0.055356208515190346, 0.055357493038722484, 0.055358813264665609, 0.055360169861438831, 0.055361563500661355, 0.05536299485606884, 0.055364464602329758, 0.055365973413755536, 0.055367521962895717, 0.055369110919011109, 0.055370740946414365, 0.05537241270267123, 0.055374126836650328, 0.055375883986412577, 0.055377684776929087, 0.055379529817616034, 0.055381419699674216, 0.055383354993221091, 0.055385336244202062, 0.055387363971066611, 0.055389438661195674, 0.055391560767064488, 0.055393730702126102, 0.055395948836398812, 0.055398215491740864, 0.055400530936796581, 0.055402895381594333, 0.055405308971780885, 0.055407771782472422, 0.055410283811705444, 0.055412844973468198, 0.055415455090296772, 0.055418113885416093, 0.055420820974411186, 0.055423575856411611, 0.055426377904774296, 0.055429226357252899, 0.055432120305640001, 0.055435058684876172, 0.055438040261617395, 0.055441063622258709, 0.055444127160416405, 0.055447229063872693, 0.055450367300996048, 0.055453539606653071, 0.05545674346763757, 0.055459976107648426, 0.055463234471858185, 0.055466515211124591, 0.055469814665906898, 0.055473128849962604, 0.055476453433914032, 0.055479783728788853, 0.05548311466965284, 0.055486440799475019, 0.055489756253378535, 0.055493054743455679, 0.055496329544340729, 0.055499573479760818, 0.055502778910303467, 0.055505937722663309, 0.055509041320652847, 0.05551208061828293, 0.055515046035240559, 0.055517927495109323, 0.055520714426696455, 0.055523395768841542, 0.055525959979095402, 0.055528395046658893, 0.055530688509973621, 0.055536588410741147, 0.055540727833380085, 0.055542717133016298, 0.055542159099871868, 0.055538668129160258, 0.05553189351142504, 0.055521545391985748, 0.05550742106878799, 0.055489428590074899, 0.055467604315519406, 0.055442121411384299, 0.05541328722497927, 0.055381528998133388, 0.055347369121357855, 0.055311392688697399, 0.055274211112999835, 0.055236425790173661, 0.055198595270560445, 0.055161208314930023, 0.055124663895744358, 0.055089257959703451, 0.055055175817353579, 0.055022488477819362, 0.054991151118878687, 0.054961002159561179, 0.054931762117686911, 0.05490303278155536, 0.054874299743994451, 0.05484494631275226, 0.054814297121035485, 0.05478173210616611, 0.054746961969581877, 0.05471067545772141, 0.054676066719539916, 0.054652548941342277, 0.05466529373928964, 0.054781873047843786, 0.055196291287510822, 0.056545992991549651, 0.06149153936617046, 0.087461480014879397, 0.37643016342256774, 0.22496830053339228, 0.11139732136177632, 0.087501466939053973, 0.078725661806191435, 0.074576840322481228, 0.072356601079902952, 0.071098462674102539, 0.070375640028881359, 0.06996885059084787, 0.069751007395181794, 0.069640841261366035, 0.069582339406717542, 0.069535092038763638, 0.069469633264708994, 0.069365131486641196, 0.069208120676476692, 0.068991588567856657, 0.068714079499522226, 0.068378681752047629, 0.067991903388335773, 0.06756251408939655, 0.06710045398791846, 0.066615897590326378, 0.066118527804730862, 0.065617037115860352, 0.065118840957337124, 0.064629967605886643, 0.064155079945836233, 0.063697584778482974, 0.063259791482314337, 0.06284309053054847, 0.062448131290526621, 0.062074986297776545, 0.061723295248369309, 0.061392386245948651, 0.061081374614312144, 0.060789241185661765, 0.060514892739227874, 0.060257207482597941, 0.060015068358018578, 0.059787386672796233, 0.059573118198292085, 0.059371273517838795, 0.059180924064570692, 0.059001204991889405, 0.058831315767261055, 0.058670519173027874, 0.058518139231536169, 0.058373558440429796, 0.058236214601551879, 0.058105597448114318, 0.057981245214811981, 0.057862741250392535, 0.057749710738517077, 0.057641817567918939, 0.057538761374797645, 0.057440274767424672, 0.05734612073382328, 0.057256090227155498, 0.057169999919351053, 0.057087690111005562, 0.057009022784226836, 0.05693387978462449, 0.056862161118764604, 0.056793783354008837, 0.05672867810857303, 0.05666679062079881, 0.056608078387957235, 0.056552509866349229, 0.056500063225977303, 0.056450725154620227, 0.056404489707701684, 0.056361357201877335, 0.056321333151745895, 0.056284427250487677, 0.056250652396511745, 0.056220023769341161, 0.056192557958920759, 0.056168272153312035, 0.056147183390285703, 0.056129307878641121, 0.056114660395159124, 0.056103253762916264, 0.056095098416290422, 0.056090202057353329, 0.056088569407520592, 0.056089657839988934, 0.056092922065044022, 0.056098358877195623, 0.056105962972335915, 0.056115727004778543, 0.056127641666063322, 0.056141695784492948, 0.056157876444082537, 0.056176169121335766, 0.056196557838003404, 0.056219025327730557, 0.056243553214265517, 0.056270122198676158, 0.056298712252799053, 0.056329302815931653, 0.056361872991554401, 0.056396401740651296, 0.056432868067946729, 0.056471251197119474, 0.056511530730757521, 0.056553686790478425, 0.056597700132256422, 0.05664355223153951, 0.056691225332222435, 0.05674070245292525, 0.056791967343321176, 0.056845004382449424, 0.056899798410021435, 0.056956334480689257, 0.057014597530090978, 0.057074571940224764, 0.05713624099035431, 0.057199586178245436, 0.057264586395114982, 0.057331216936336846, 0.057399448328772099, 0.057469244954728181, 0.057540563452196283, 0.057613350871399356, 0.057687542569130168, 0.057763059825251512, 0.057839807170540797, 0.057917669422346441, 0.057996508434914711, 0.05807615958543598, 0.058156428035560703, 0.058237084832002198, 0.058317862939404844, 0.058398453334124127, 0.058478501328694699, 0.058557603342592468, 0.058635304383470345, 0.058711096551171661, 0.058784418919775441, 0.058854659184358879, 0.058921157471141364, 0.058983212693073828, 0.05904009177823271, 0.059091041996980259, 0.05913530645989571, 0.059172142651049059, 0.059200843606576389, 0.059220761062044179, 0.059231329598903933, 0.059232090554388106, 0.059222714260042657, 0.059203019081392472, 0.059172985777513197, 0.0591327659023018, 0.059082683325680438, 0.059023228435471441, 0.058955045139467935, 0.058878911356907079, 0.058795714198696621, 0.058706421423363173, 0.058612050976362455, 0.05851364045555188, 0.058412218204384594, 0.058308777449720794, 0.058204254521929025, 0.05809951177592592, 0.057995325424197268, 0.057892378137131245, 0.057791255988201125, 0.05769244913263686, 0.057596355506332415, 0.057503286805603612, 0.057413476041492294, 0.057327086036342741, 0.057244218328133346, 0.057164922055039674, 0.057089202497954392, 0.057017029054801521, 0.056948342503198426, 0.056883061475606823, 0.05682108812365317, 0.056762312987034561, 0.056706619109234448, 0.056653885459299821, 0.056603989728260043, 0.05655681057232622, 0.05651222937443709, 0.056470131592354207, 0.056430407756419977, 0.056392954174067339, 0.056357673391796793, 0.056324474459012321, 0.056293273032096761, 0.056263991351570355, 0.056236558120190079, 0.056210908305443709, 0.056186982886058612, 0.056164728558849804, 0.056144097419431667, 0.056125046627954096, 0.056107538069051166, 0.056091538013547125, 0.056077016788110112, 0.0560639484579257, 0.05605231052654628, 0.056042083656317306, 0.056033251412165586, 0.056025800031019687, 0.05601971821871285, 0.056014996975858274, 0.056011629453883417, 0.056009610842150434, 0.056008938286849975], [0.05668472837209064, 0.056686222184943395, 0.056690704386012064, 0.056698177319859711, 0.05670864508473987, 0.056722113820502074, 0.056738592115649536, 0.056758091537852579, 0.056780627293891182, 0.056806219027044198, 0.056834891762463244, 0.056866677014184457, 0.056901614071331409, 0.056939751485938668, 0.056981148790941072, 0.057025878484573814, 0.057074028327167362, 0.0571257040086766, 0.057181032261054435, 0.057240164509843476, 0.057303281185546624, 0.057370596849471552, 0.057442366333557954, 0.057518892153098362, 0.057600533530687954, 0.057687717477028277, 0.057780952520675444, 0.057880845881003028, 0.057988125161149845, 0.058103666037521241, 0.058228527996094022, 0.058364001001347997, 0.058511667220403178, 0.058673483787973588, 0.058851895458432363, 0.05904999047724338, 0.059271720203601302, 0.059522214871724918, 0.059808247968558825, 0.060138936863416488, 0.060526831130444346, 0.060989660706245424, 0.06155325553421194, 0.062256650819117812, 0.063161517816496593, 0.064370789765815034, 0.066068644181696334, 0.068616006543108662, 0.072813593155168749, 0.080787090328434202, 0.10002700405662426, 0.17409159231228061, 0.50818805366078557, 0.11329570905611944, 0.064921983447597004, 0.056832615706195466, 0.054824511511566171, 0.054327789273005384, 0.054307141678693369, 0.054452012463579405, 0.054652675397932143, 0.054866459072912696, 0.055075987018518124, 0.055274211259586217, 0.05545849436401986, 0.055628100552150048, 0.0557830827885979, 0.055923779851919056, 0.056050593991176408, 0.056163902986084986, 0.056264038439888267, 0.056351296895368469, 0.056425966365345193, 0.05648835841494735, 0.056538839614419273, 0.056577858149783396, 0.056605962674356705, 0.056623811594240681, 0.056632172088353847, 0.056631909272239239, 0.056623966930916016, 0.056609342042891246, 0.0565890557890237, 0.056564123836792143, 0.056535528433366074, 0.056504194311767141, 0.056470969731878068, 0.056436613266548349, 0.056401786306709174, 0.056367050766324367, 0.056332871146606303, 0.056299619963851043, 0.056267585528441723, 0.056236981145229951, 0.056207954947916763, 0.056180599748098393, 0.05615496244779232, 0.056131052716025309, 0.056108850756801221, 0.056088314094731931, 0.056069383376991834, 0.056051987239450089, 0.056036046315165261, 0.056021476479303799, 0.056008191429959497, 0.055996104702632568, 0.055985131209928873, 0.055975188389315436, 0.055966197031942826, 0.0559580818555599, 0.055950771875011414, 0.055944200615069627, 0.055938306202578468, 0.055933031368130992, 0.055928323381729178, 0.055924133942020782, 0.055920419034675858, 0.055917138772149842, 0.055914257224385588, 0.055911742247833324, 0.055909565318431005, 0.055907701372813381, 0.055906128660941523, 0.055904828612504835, 0.055903785718807275, 0.055902987431359956, 0.055902424078036597, 0.055902088797378291, 0.055901977491434024, 0.055901993295018049, 0.055902040722410368, 0.05590211982353363, 0.055902230681597706, 0.055902373413108469, 0.055902548167878423, 0.055902755129039985, 0.055902994513059474, 0.055903266569751101, 0.055903571582289958, 0.055903909867221775, 0.055904281774468025, 0.055904687687324518, 0.055905128022449499, 0.055905603229841352, 0.055906113792799375, 0.055906660227866549, 0.055907243084748939, 0.055907862946207892, 0.055908520427919259, 0.055909216178293773, 0.055909950878253706, 0.055910725240955916, 0.055911540011455582, 0.055912395966300175, 0.055913293913043949, 0.055914234689671619, 0.055915219163918221, 0.055916248232471759, 0.055917322820041478, 0.055918443878275548, 0.05591961238450717, 0.055920829340307704, 0.055922095769821697, 0.055923412717856384, 0.055924781247694774, 0.055926202438597937, 0.055927677382957508, 0.055929207183055302, 0.055930792947382464, 0.055932435786463175, 0.055934136808122807, 0.055935897112132996, 0.055937717784157501, 0.055939599888914004, 0.055941544462456798, 0.055943552503472889, 0.055945624963472988, 0.055947762735741376, 0.055949966642894963, 0.055952237422881849, 0.055954575713228205, 0.055956982033320266, 0.05595945676447929, 0.055962000127559725, 0.055964612157763785, 0.055967292676329168, 0.055970041258701364, 0.055972857198752349, 0.055975739468551618, 0.055978686673130836, 0.055981696999610239, 0.055984768159971901, 0.055987897326671088, 0.055991081060168875, 0.055994315227345451, 0.055997594909615964, 0.056000914299407428, 0.056004266583475952, 0.056007643811331657, 0.056011036746802662, 0.056014434700494609, 0.056017825340590771, 0.056021194479083408, 0.056024525830117043, 0.056027800736665107, 0.056030997861234395, 0.056034092835697644, 0.056037057864688364, 0.056039861276250158, 0.056042467012614172, 0.056044834053104522, 0.056046915760252197, 0.056048659139292391, 0.056050004000406314, 0.05605088201249208, 0.056051215637150528, 0.056050916932348552, 0.056049886217519468, 0.056048010596735809, 0.05604516234577122, 0.056041197185169686, 0.056035952489533261, 0.056029245530846955, 0.056020871933795513, 0.056010604655788297, 0.055998194031944878, 0.055983369812489796, 0.055965846786416876, 0.055945336749097067, 0.055921571640612906, 0.055894346439247164, 0.05586359739119974, 0.055829544569936905, 0.055792954355237651, 0.05575563228723214, 0.055721375286921844, 0.055697882698566341, 0.055700784241597315, 0.055762678281472952, 0.055955111741388078, 0.056447962739596354, 0.057694282387627367, 0.061132182422093409, 0.072759238030809942, 0.13059255540438097, 0.32442806261447898, 0.15506346649129329, 0.098969370632903245, 0.081805314022433032, 0.074438653457962606, 0.070593045690690498, 0.068343786399866241, 0.066942375853770872, 0.066049152386144921, 0.065494394794320718, 0.065189934340774122, 0.065092762253906991, 0.065189934340774372, 0.065494394794320801, 0.066049152386144769, 0.066942375853770747, 0.068343786399867268, 0.070593045690688194, 0.074438653457968906, 0.081805314022437126, 0.09896937063290788, 0.1550634664914618, 0.32442806261451157, 0.1305925554043143, 0.072759238030816534, 0.061132182422093645, 0.057694282387627964, 0.05644796273959625, 0.055955111741388119, 0.055762678281472876, 0.055700784241597412, 0.055697882698566452, 0.055721375286921782, 0.055755632287232175, 0.055792954355237651, 0.055829544569936954, 0.055863597391199768, 0.055894346439247136, 0.055921571640612941, 0.055945336749097074, 0.055965846786416848, 0.0559833698124899, 0.055998194031944899, 0.056010604655788311, 0.056020871933795548, 0.056029245530847024, 0.056035952489533254, 0.056041197185169624, 0.056045162345771192, 0.056048010596735823, 0.056049886217519475, 0.056050916932348593, 0.05605121563715057, 0.056050882012492025, 0.056050004000406356, 0.056048659139292412, 0.056046915760252156, 0.056044834053104522, 0.056042467012614193, 0.056039861276250158, 0.056037057864688364, 0.056034092835697658, 0.056030997861234444, 0.056027800736665044, 0.056024525830117002, 0.056021194479083429, 0.056017825340590743, 0.056014434700494581, 0.05601103674680271, 0.05600764381133165, 0.05600426658347589, 0.056000914299407373, 0.055997594909615922, 0.055994315227345451, 0.055991081060168868, 0.05598789732667115, 0.055984768159971922, 0.055981696999610253, 0.055978686673130836, 0.055975739468551597, 0.055972857198752314, 0.055970041258701399, 0.055967292676329175, 0.055964612157763736, 0.055962000127559725, 0.055959456764479325, 0.055956982033320314, 0.055954575713228212, 0.055952237422881829, 0.055949966642894956, 0.05594776273574132, 0.055945624963472995, 0.055943552503472944, 0.05594154446245677, 0.055939599888913984, 0.055937717784157494, 0.05593589711213301, 0.055934136808122821, 0.055932435786463182, 0.055930792947382436, 0.05592920718305526, 0.055927677382957515, 0.055926202438597958, 0.055924781247694788, 0.055923412717856349, 0.055922095769821704, 0.055920829340307725, 0.055919612384507204, 0.05591844387827552, 0.055917322820041464, 0.05591624823247171, 0.055915219163918221, 0.055914234689671646, 0.055913293913043949, 0.055912395966300113, 0.055911540011455547, 0.055910725240955861, 0.055909950878253664, 0.055909216178293815, 0.055908520427919231, 0.055907862946207927, 0.055907243084748988, 0.055906660227866549, 0.055906113792799354, 0.055905603229841394, 0.055905128022449582, 0.055904687687324497, 0.055904281774468066, 0.055903909867221775, 0.055903571582289945, 0.055903266569751114, 0.055902994513059454, 0.055902755129039985, 0.05590254816787843, 0.055902373413108442, 0.05590223068159772, 0.055902119823533651, 0.055902040722410409, 0.055901993295018076, 0.055901977491433961, 0.055901985393021304, 0.055902009103647253, 0.055902048640905429, 0.055902104034123684, 0.055902175324372472, 0.055902262564476238, 0.055902365819027321, 0.055902485164403937, 0.055902620688790663, 0.055902772492201637, 0.055902940686507148, 0.055903125395462459, 0.055903326754739698, 0.05590354491196154, 0.055903780026737883, 0.055904032270704063, 0.055904301827561509, 0.055904588893119354, 0.055904893675338456, 0.055905216394375346, 0.055905557282628499, 0.055905916584783916, 0.055906294557861488, 0.055906691471261316, 0.055907107606809191, 0.055907543258801193, 0.055907998734046518, 0.05590847435190905, 0.055908970444345382, 0.055909487355940236, 0.055910025443938013, 0.055910585078269702, 0.055911166641574361, 0.055911770529214561, 0.055912397149284955, 0.055913046922612467, 0.055913720282747978, 0.055914417675947049, 0.055915139561140248, 0.055915886409890307, 0.055916658706335012, 0.055917456947115321, 0.05591828164128556, 0.055919133310205357, 0.055920012487410381, 0.05592091971846077, 0.055921855560764622, 0.055922820583374229, 0.055923815366752949, 0.055924840502509385, 0.055925896593097421, 0.055926984251477262, 0.055928104100735843, 0.055929256773661985, 0.055930442912273705, 0.055931663167292332, 0.05593291819756116, 0.055934208669401228, 0.055935535255903029, 0.055936898636145732, 0.055938299494340503, 0.055939738518891204, 0.055941216401366303, 0.055942733835376013, 0.055944291515346592, 0.055945890135185423, 0.055947530386827961, 0.055949212958659421, 0.055950938533800509, 0.055952707788249935, 0.05595452138887199, 0.055956379991219635, 0.055958284237181924, 0.055960234752444209, 0.055962232143748576, 0.055964276995942044, 0.055966369868799437, 0.055968511293606117, 0.055970701769486923, 0.055972941759465468, 0.055975231686239017, 0.055977571927651786, 0.055979962811850331, 0.055982404612104811, 0.055984897541277043, 0.055987441745919408, 0.055990037299985362, 0.055992684198134759, 0.055995382348614987, 0.055998131565702089, 0.056000931561682871, 0.056003781938363251, 0.056006682178086804, 0.056009631634249213, 0.056012629521297208, 0.056015674904199605, 0.056018766687385237, 0.056021903603140411, 0.056025084199465169, 0.056028306827392099, 0.056031569627773198, 0.056034870517549795, 0.056038207175523588, 0.056041577027656345, 0.056044977231932726, 0.05604840466283019, 0.056051855895451544, 0.056055327189384531, 0.056058814472367713, 0.056062313323855084, 0.056065818958587095, 0.056069326210290253, 0.05607282951564882, 0.056076322898705983, 0.056079799955876718, 0.056083253841769522, 0.056086677256041065, 0.056090062431525693, 0.056093401123905449, 0.056096684603208373, 0.056099903647442814, 0.056103048538697041, 0.056106109062050956, 0.056109074507663281, 0.056111933676409348, 0.056114674889455873, 0.056117286002159351, 0.056119754422676575, 0.056126171440858852, 0.05613081407492046, 0.056133290417787002, 0.05613320204403259, 0.056130163447451489, 0.056123825548468086, 0.056113901799494471, 0.056100194551882712, 0.056082618660171696, 0.056061219020930607, 0.056036179062309996, 0.056007818174090292, 0.055976577567640282, 0.055942995773346015, 0.055907676517557563, 0.055871252706217685, 0.055834350471214683, 0.055797556719205971, 0.055761392564543356, 0.055726293733848686, 0.055692597801050958, 0.055660537166028964, 0.055630236133463504, 0.055601710296380467, 0.055574866659772362, 0.055549503569738978, 0.055525310695026697, 0.055501871489352345, 0.055478674812411692, 0.055455151123808236, 0.055430767420670296, 0.055405256985921275, 0.055379157748550657, 0.055355073305232178, 0.055340701002711136, 0.055356466985359121, 0.055456288855532623, 0.05579060772954321, 0.056831056297036213, 0.060392941110396808, 0.076631183116251958, 0.22338293113431293, 0.33314545395888401, 0.12897097884120612, 0.093991782447906652, 0.08248483386470945, 0.077346672591213583, 0.074694500901017841, 0.073233766075349926, 0.07241871507605549, 0.071977711654339499, 0.071756650613318249, 0.071658237888599818, 0.071615835861946683, 0.071581509111824621, 0.071520429531551799, 0.071408204555595101, 0.07122944818299165, 0.070976724931919546, 0.070649442196538709, 0.070252546278500416, 0.069795054082866209, 0.069288545173669211, 0.068745761495826688, 0.068179434900962288, 0.067601410282927335, 0.067022076919879853, 0.066450077340091881, 0.065892237687541474, 0.065353655250981205, 0.064837882897694932, 0.0643471611167198, 0.063882661625570158, 0.063444718997890559, 0.063033036992875033, 0.062646863771365746, 0.062285135174167984, 0.061946588209235015, 0.061629848398312564, 0.061333495160961815, 0.061056109348200951, 0.060796306653086329, 0.060552760102321211, 0.060324214281964675, 0.060109493432808137, 0.059907505096139381, 0.059717240607888217, 0.059537773426999563, 0.059368256035171318, 0.059207915950587588, 0.05905605124846431, 0.058912025867330887, 0.05877526489443987, 0.058645249960159858, 0.058521514824577708, 0.058403641205727698, 0.058291254874702096, 0.058184022025942153, 0.058081645919373988, 0.057983863783332597, 0.057890443962352989, 0.057801183291096861, 0.057715904674354876, 0.057634454852780972, 0.05755670233447574, 0.057482535473497735, 0.057411860677708475, 0.057344600729912355, 0.057280693207965021, 0.057220088991334891, 0.057162750843469896, 0.05710865206119925, 0.05705777518427968, 0.05701011076003773, 0.056965656159840103, 0.056924414445824315, 0.056886393287909794, 0.05685160393255561, 0.056820060226023775, 0.056791777695987665, 0.05676677269621145, 0.056745061619659767, 0.0567266601857861, 0.056711582807880523, 0.056699842046217287, 0.056691448152369067, 0.056686408709433297, 0.05668472837209064, 0.056685848594895928, 0.056689208189102919, 0.056694803944183345, 0.056702630549422678, 0.056712680653629936, 0.056724944947652345, 0.056739412268633167, 0.05675606972465691, 0.056774902838153257, 0.056795895706165153, 0.056819031175331033, 0.056844291029191675, 0.056871656185199002, 0.056901106898576553, 0.056932622969961495, 0.056966183953524638, 0.057001769362040378, 0.057039358865115068, 0.057078932476513744, 0.057120470726210557, 0.057163954812428815, 0.057209366728527243, 0.05725668935909773, 0.057305906539082387, 0.057357003069050956, 0.057409964679011473, 0.057464777932244172, 0.057521430059630708, 0.057579908713801427, 0.057640201631141988, 0.057702296188284131, 0.057766178838182282, 0.057831834409271192, 0.057899245249553082, 0.057968390195871966, 0.058039243347177707, 0.058111772619426932, 0.058185938059112687, 0.058261689892510855, 0.058338966288925327, 0.058417690818926116, 0.058497769593321002, 0.05857908807600519, 0.058661507574601722, 0.058744861427734177, 0.05882895092768517, 0.058913541042878201, 0.058998356036740682, 0.059083075118402557, 0.059167328306214365, 0.059250692736301271, 0.059332689703283384, 0.059412782775465543, 0.059490377377064772, 0.059564822268353315, 0.059635413372006937, 0.059701400380044567, 0.059761996519487659, 0.059816391746103446, 0.059863769467098732, 0.059903326663694037, 0.059934296999623916, 0.059955976178661233, 0.059967748481583025, 0.059969113109300878, 0.059959708729652707, 0.059939334516457096, 0.059907966018668712, 0.059865764425593021, 0.059813078197409671, 0.059750436577029949, 0.059678535131903153, 0.05959821411719414, 0.059510431023760982, 0.059416229103762853, 0.059316703903828247, 0.059212969861137867, 0.059106128844174342, 0.058997242187037516, 0.058887307331380451, 0.058777239716175565, 0.058667860100537358, 0.058559887113413554, 0.058453934523787505, 0.058350512526527926, 0.05825003223816911, 0.058152812579565283, 0.058059088768949378, 0.057969021738484228, 0.057882707900607892, 0.057800188811440369, 0.057721460395466273, 0.057646481500958607, 0.057575181644973591, 0.057507467878780409, 0.057443230759761807, 0.05738234945579361, 0.057324696035143945, 0.057270139011504045, 0.05721854622221758, 0.057169787120245494, 0.057123734558666241, 0.057080266142006675, 0.057039265212548325, 0.057000621532779072, 0.056964231717963922, 0.056929999465784878, 0.056897835623408798, 0.056867658126330482, 0.056839391837971424, 0.05681296831430873, 0.056788325513738747, 0.056765407468904162, 0.05674416393427538, 0.056724550020811934, 0.056706525826982962, 0.056690056073730018, 0.056675109749565564, 0.056661659770858644, 0.056649682661429349, 0.056639158254811479, 0.056630069421925271, 0.056622401826386018, 0.056616143709260505, 0.056611285704724658, 0.056607820687779295, 0.056605743654925843, 0.056605051638470683], [0.057285378290578469, 0.057286915772058251, 0.057291529061566267, 0.057299220754279484, 0.057309995375987362, 0.057323859685940816, 0.057340823105189773, 0.057360898275096051, 0.057384101752524279, 0.057410454850433168, 0.057439984635325306, 0.057472725096396872, 0.057508718505462825, 0.057548016992033574, 0.057590684364570849, 0.057636798217338553, 0.057686452372885472, 0.057739759723697825, 0.057796855553821316, 0.057857901443479166, 0.057923089888496787, 0.057992649803953314, 0.058066853130978341, 0.058146022831395215, 0.058230542643117597, 0.058320869088710064, 0.058417546393181509, 0.058521225193758124, 0.058632686242261145, 0.058752870752335852, 0.058882919694546294, 0.059024225294512192, 0.059178499405558978, 0.059347865572345913, 0.059534984915052838, 0.059743231192964333, 0.059976938859283062, 0.060241761950227936, 0.060545205642135932, 0.06089743471906945, 0.061312541045107936, 0.061810601357179543, 0.062421157343940076, 0.063189392107575015, 0.064187746859194122, 0.065539379025101277, 0.067469953208637329, 0.0704359957868574, 0.075496765981418176, 0.085662100095237836, 0.11282717429374113, 0.2414926601593422, 0.36003369043408007, 0.08928909206844203, 0.061940158779977265, 0.056550340060329496, 0.055156078476136343, 0.054846255699238199, 0.054892568935659226, 0.05506375953657501, 0.055275284673908666, 0.055493643334372782, 0.055705120095534855, 0.055904215274308985, 0.056088962057155266, 0.056258908516810251, 0.056414213764476175, 0.056555239069802345, 0.056682369821776504, 0.056795949396506701, 0.056896268744904638, 0.056983583765991781, 0.057058145608591147, 0.057120235215814129, 0.057170196441017944, 0.057208463708552537, 0.057235581343946247, 0.057252212764818525, 0.0572591388455128, 0.057257245920485381, 0.057247504958092839, 0.057230944274173363, 0.057208618646725475, 0.057181577785517489, 0.057150836826726885, 0.057117350951933939, 0.05708199550076444, 0.057045552190353309, 0.057008701383002652, 0.056972019827096376, 0.056935982964041565, 0.056900970738380088, 0.056867275838155013, 0.056835113386158757, 0.056804631257433971, 0.056775920378290969, 0.056749024540470906, 0.056723949423925467, 0.056700670654310517, 0.05667914082419781, 0.056659295481737669, 0.056641058140853608, 0.056624344397690998, 0.056609065253686267, 0.05659512975048623, 0.056582447019520338, 0.056570927842080738, 0.056560485806311393, 0.056551038137020289, 0.056542506263660121, 0.056534816181795157, 0.05652789865421954, 0.056521689289786313, 0.056516128530977823, 0.056511161575265312, 0.056506738250284391, 0.056502812858693616, 0.056499344005169649, 0.05649629441522655, 0.056493630753318078, 0.056491323445908272, 0.056489346513792782, 0.056487677416859707, 0.056486296913626888, 0.056485188937245662, 0.056484340489169213, 0.056483741551317725, 0.056483385017304676, 0.056483266643092445, 0.056483283581723838, 0.056483334415575341, 0.056483419198522997, 0.05648353802037321, 0.056483691006882907, 0.056483878319785956, 0.056484100156827026, 0.056484356751800864, 0.056484648374596262, 0.056484975331243872, 0.056485337963965952, 0.056485736651226352, 0.056486171807779463, 0.056486643884713993, 0.05648715336949197, 0.056487700785976605, 0.056488286694448463, 0.056488911691604068, 0.056489576410534356, 0.056490281520676741, 0.05649102772773569, 0.056491815773566968, 0.056492646436016342, 0.056493520528707181, 0.056494438900767198, 0.056495402436485015, 0.056496412054885585, 0.056497468709212302, 0.056498573386302986, 0.056499727105842973, 0.056500930919480288, 0.056502185909782281, 0.056503493189013508, 0.056504853897710546, 0.056506269203027176, 0.056507740296820652, 0.056509268393445278, 0.05651085472721612, 0.056512500549500945, 0.056514207125394574, 0.056515975729922119, 0.056517807643713405, 0.056519704148082599, 0.056521666519439705, 0.056523696022951354, 0.056525793905358737, 0.05652796138684852, 0.056530199651861311, 0.056532509838706044, 0.056534893027834515, 0.056537350228611429, 0.056539882364394098, 0.056542490255714777, 0.056545174601330066, 0.056547935956875767, 0.056550774710828644, 0.056553691057442151, 0.056556684966278387, 0.056559756147911436, 0.056562904015321977, 0.056566127640441791, 0.056569425705235335, 0.056572796446625329, 0.05657623759447953, 0.056579746301770949, 0.056583319065905122, 0.056586951640076086, 0.056590638933354948, 0.056594374898044641, 0.056598152402629859, 0.05660196308842657, 0.056605797207773235, 0.056609643441306964, 0.056613488691532744, 0.056617317849501227, 0.056621113530975466, 0.056624855777964951, 0.056628521720941578, 0.056632085196418158, 0.05663551631386423, 0.056638780965152943, 0.056641840268894683, 0.056644649941124718, 0.056647159582922345, 0.056649311874712754, 0.056651041666362978, 0.056652274951927019, 0.056652927718362847, 0.056652904659264022, 0.056652097748512903, 0.056650384676196826, 0.056647627162459989, 0.056643669188032292, 0.056638335219283631, 0.056631428571356855, 0.056622730163006743, 0.056611998101653897, 0.056598968849676246, 0.056583361256547025, 0.056564885664548994, 0.05654326191921373, 0.056518253027181775, 0.056489726548040062, 0.056457765882927599, 0.056422873227209125, 0.056386345513877167, 0.056350987970025947, 0.056322514282914765, 0.056312415384709498, 0.056344170706272227, 0.056467677873295312, 0.056795970369594537, 0.057610600346735583, 0.059718256196890619, 0.065978949326385886, 0.090598451737115226, 0.23113837986676036, 0.24538991279501127, 0.1229176417978925, 0.091227746464687384, 0.079548861431838508, 0.073976077172621196, 0.070893888290473495, 0.069042358596440478, 0.067890593482405628, 0.067186591965089582, 0.066803961514520907, 0.066682402341055297, 0.066803961514521254, 0.067186591965089665, 0.067890593482405406, 0.069042358596440409, 0.070893888290474702, 0.073976077172618032, 0.079548861431847931, 0.091227746464694712, 0.1229176417979031, 0.24538991279536809, 0.23113837986665173, 0.090598451737091162, 0.065978949326389286, 0.059718256196890779, 0.057610600346735985, 0.056795970369594495, 0.056467677873295319, 0.056344170706272116, 0.056312415384709637, 0.05632251428291489, 0.056350987970025905, 0.056386345513877209, 0.056422873227209125, 0.056457765882927641, 0.056489726548040083, 0.056518253027181761, 0.056543261919213772, 0.056564885664549008, 0.056583361256547018, 0.056598968849676329, 0.056611998101653911, 0.056622730163006764, 0.056631428571356876, 0.056638335219283707, 0.056643669188032278, 0.056647627162459926, 0.056650384676196791, 0.056652097748512917, 0.056652904659264022, 0.056652927718362903, 0.05665227495192706, 0.056651041666362908, 0.056649311874712817, 0.056647159582922359, 0.056644649941124676, 0.056641840268894669, 0.056638780965152943, 0.056635516313864265, 0.056632085196418151, 0.056628521720941585, 0.056624855777964993, 0.056621113530975396, 0.056617317849501192, 0.056613488691532765, 0.056609643441306944, 0.056605797207773201, 0.056601963088426625, 0.056598152402629838, 0.056594374898044607, 0.056590638933354899, 0.05658695164007603, 0.056583319065905122, 0.056579746301770928, 0.056576237594479592, 0.056572796446625342, 0.056569425705235342, 0.056566127640441784, 0.056562904015321956, 0.056559756147911394, 0.056556684966278442, 0.056553691057442151, 0.056550774710828609, 0.056547935956875767, 0.0565451746013301, 0.056542490255714825, 0.056539882364394112, 0.056537350228611415, 0.056534893027834508, 0.056532509838706002, 0.056530199651861332, 0.056527961386848569, 0.05652579390535873, 0.056523696022951334, 0.056521666519439705, 0.056519704148082606, 0.056517807643713412, 0.056515975729922133, 0.056514207125394546, 0.056512500549500903, 0.056510854727216099, 0.056509268393445285, 0.056507740296820673, 0.056506269203027149, 0.056504853897710552, 0.056503493189013529, 0.056502185909782301, 0.056500930919480226, 0.05649972710584298, 0.056498573386302917, 0.056497468709212302, 0.056496412054885599, 0.056495402436485029, 0.056494438900767163, 0.05649352052870716, 0.056492646436016314, 0.056491815773566934, 0.056491027727735746, 0.0564902815206767, 0.056489576410534377, 0.05648891169160411, 0.056488286694448463, 0.056487700785976598, 0.056487153369491991, 0.056486643884714069, 0.056486171807779449, 0.056485736651226394, 0.056485337963965966, 0.056484975331243886, 0.056484648374596297, 0.056484356751800857, 0.056484100156827012, 0.056483878319785956, 0.056483691006882865, 0.056483538020373238, 0.056483419198523011, 0.056483334415575369, 0.056483283581723845, 0.056483266643092368, 0.056483275112165165, 0.056483300525446971, 0.05648334290112992, 0.056483402269539525, 0.056483478673143052, 0.056483572166561143, 0.05648368281658199, 0.056483810702179324, 0.05648395591453341, 0.056484118557054382, 0.056484298745409368, 0.056484496607551379, 0.056484712283751896, 0.056484945926634715, 0.056485197701213082, 0.056485467784928266, 0.056485756367690675, 0.05648606365192177, 0.056486389852598393, 0.056486735197297008, 0.056487099926240146, 0.056487484292342363, 0.056487888561256416, 0.056488313011419718, 0.056488757934099708, 0.05648922363343812, 0.056489710426493457, 0.056490218643281964, 0.056490748626815045, 0.056491300733133423, 0.056491875331337843, 0.056492472803614177, 0.056493093545253441, 0.056493737964664954, 0.05649440648338265, 0.056495099536062382, 0.056495817570470286, 0.056496561047460057, 0.056497330440938853, 0.056498126237819843, 0.056498948937959724, 0.056499799054080965, 0.056500677111675189, 0.056501583648887882, 0.056502519216380789, 0.056503484377171426, 0.056504479706446328, 0.056505505791346611, 0.056506563230722388, 0.056507652634854091, 0.056508774625137669, 0.056509929833730176, 0.056511118903152739, 0.056512342485847182, 0.056513601243682897, 0.056514895847409097, 0.05651622697604932, 0.056517595316232017, 0.056519001561453695, 0.056520446411268792, 0.056521930570400301, 0.056523454747765836, 0.056525019655412248, 0.056526626007352587, 0.056528274518297547, 0.056529965902274541, 0.056531700871125502, 0.056533480132875971, 0.056535304389964999, 0.056537174337327661, 0.056539090660319431, 0.056541054032471401, 0.056543065113066143, 0.056545124544521749, 0.056547232949571771, 0.05654939092822802, 0.05655159905451352, 0.056553857872950135, 0.056556167894787526, 0.056558529593957102, 0.056560943402736374, 0.0565634097071065, 0.056565928841786184, 0.056568501084926545, 0.056571126652446874, 0.056573805691996326, 0.056576538276521857, 0.056579324397425912, 0.05658216395729513, 0.056585056762184553, 0.056588002513438644, 0.056591000799034813, 0.056594051084434008, 0.056597152702924709, 0.056600304845449714, 0.056603506549903933, 0.056606756689899687, 0.056610053962992325, 0.056613396878367757, 0.056616783743996264, 0.056620212653260338, 0.056623681471073349, 0.056627187819508533, 0.056630729062969051, 0.056634302292934854, 0.056637904312334057, 0.056641531619596529, 0.056645180392457084, 0.056648846471591255, 0.05665252534417882, 0.056656212127506871, 0.056659901552737729, 0.056663587948989458, 0.056667265227889688, 0.056670926868789093, 0.056674565904835383, 0.056678174910135402, 0.056681745988250584, 0.056685270762295258, 0.056688740366927066, 0.056692145442540962, 0.056695476131997012, 0.056698722080229885, 0.056701872437103971, 0.056704915863888372, 0.05670784054373678, 0.056710634196555872, 0.056713284098646725, 0.056720237968819302, 0.056725403763212348, 0.056728387285332187, 0.056728788882935824, 0.056726223162196103, 0.056720342724140088, 0.056710864431020212, 0.056697595860041972, 0.056680458933035478, 0.056659507450953911, 0.056634935592560512, 0.056607075409848592, 0.056576382838803015, 0.056543413440165467, 0.056508790597168512, 0.056473169868787407, 0.056437203426211217, 0.056401507997550462, 0.056366638709231059, 0.056333069940364848, 0.056301183093245659, 0.056271260242639051, 0.056243482063021349, 0.056217928260094252, 0.056194578924214422, 0.056173315780318957, 0.056153923348928041, 0.056136091926902047, 0.056119427939874428, 0.056103484633758693, 0.056087841849558027, 0.056072298514256082, 0.056057321875812367, 0.056045092116294055, 0.056041981745257798, 0.056064700781211618, 0.056156603593969297, 0.056435495383028944, 0.057255534603719127, 0.059887613674036833, 0.070570819519834974, 0.14572290815972594, 0.4914517682842256, 0.15664259782364062, 0.10258446367679781, 0.087058117629533249, 0.080576415557611289, 0.077364781081895956, 0.075650628509798645, 0.074724648261510901, 0.074246001480949703, 0.074025767709193765, 0.073946267803246923, 0.073927382635618114, 0.073911604821912377, 0.073857284907974802, 0.073735550463839616, 0.073528711486925399, 0.073229030281921056, 0.072837324220155389, 0.072361246537178348, 0.071813327544483857, 0.071208976113496136, 0.070564657974494099, 0.069896415048017038, 0.069218806997875318, 0.068544275523616111, 0.067882873625395579, 0.067242272251675075, 0.066627951507728739, 0.066043494587708557, 0.065490921245090705, 0.064971017500134551, 0.064483635630662714, 0.064027951762108085, 0.063602677473999863, 0.06320622742214746, 0.062836847928844933, 0.062492712666135257, 0.062171991634888193, 0.061872899122005685, 0.0615937255296359, 0.061332857115703132, 0.061088786876050356, 0.060860119088002096, 0.060645569440641624, 0.060443962196215541, 0.060254225447904285, 0.060075385246100538, 0.059906559142501925, 0.059746949534302943, 0.059595837067190849, 0.059452574265594291, 0.059316579493538926, 0.059187331303222415, 0.059064363196115868, 0.058947258799320626, 0.058835647445265267, 0.058729200133526852, 0.05862762584806331, 0.058530668200331384, 0.058438102367801774, 0.058349732297694447, 0.058265388146909347, 0.05818492393083903, 0.058108215355790957, 0.058035157812007437, 0.057965664506625963, 0.057899664718326103, 0.057837102157811328, 0.057777933420652947, 0.057722126521342808, 0.05766965949966156, 0.05762051909264472, 0.057574699467497131, 0.057532201012758077, 0.057493029186827839, 0.057457193424601635, 0.057424706104416322, 0.057395581578736532, 0.057369835273012537, 0.0573474828578764, 0.057328539500310631, 0.057313019199618405, 0.057300934213929407, 0.057292294582631631, 0.057287107749513226, 0.057285378290578469, 0.057286531259672209, 0.05728998909226421, 0.057295748576954506, 0.057303804403468869, 0.057314149225194309, 0.057326773745620091, 0.057341666827595159, 0.057358815624009775, 0.057378205728229749, 0.057399821342339154, 0.057423645460985717, 0.057449660068377109, 0.057477846345737861, 0.057508184886302764, 0.057540655914696058, 0.057575239507305601, 0.057611915810027323, 0.057650665249482057, 0.057691468733524202, 0.057734307836530691, 0.05777916496457855, 0.057826023495181102, 0.057874867885730041, 0.057925683744187363, 0.057978457854853373, 0.058033178151201577, 0.058089833626808467, 0.058148414174289814, 0.058208910340889215, 0.058271312987941214, 0.058335612839850448, 0.058401799906510399, 0.058469862761254716, 0.058539787654532507, 0.058611557441620561, 0.058685150300915187, 0.058760538217853063, 0.058837685208504222, 0.058916545256630752, 0.05899705993888503, 0.059079155715285638, 0.059162740866729728, 0.059247702068764833, 0.059333900601950401, 0.059421168214793318, 0.059509302676400581, 0.059598063083593049, 0.059687165022097838, 0.059776275724074034, 0.059865009414621077, 0.059952923097194882, 0.060039513089945852, 0.060124212688240419, 0.060206391387396287, 0.060285356146119733, 0.060360355195206369, 0.060430584885847294, 0.060495200014572356, 0.060553327945443949, 0.060604086665712847, 0.060646606656031304, 0.060680056137084215, 0.060703668889737161, 0.060716773467471431, 0.060718822272224242, 0.060709418700201016, 0.060688340435973542, 0.060655557025284419, 0.06061124011379599, 0.060555765196389624, 0.060489704342767563, 0.060413810083013102, 0.060328991363790302, 0.060236283128560407, 0.060136811551516081, 0.060031757209235717, 0.059922318486332705, 0.059809677298745277, 0.059694968828767785, 0.059579256466658861, 0.059463512617213367, 0.059348605521457147, 0.059235291812931933, 0.059124214204147638, 0.059015903491142746, 0.058910783966038362, 0.058809181321378155, 0.058711332192798213, 0.058617394594156942, 0.058527458630049108, 0.058441557007210675, 0.058359674996132122, 0.058281759609321415, 0.058207727859060976, 0.058137474034109099, 0.058070875992554588, 0.058007800509083662, 0.057948107741961866, 0.057891654900915399, 0.057838299204452319, 0.057787900216336729, 0.057740321647848661, 0.057695432706666196, 0.057653109065869679, 0.057613233518549356, 0.057575696375399971, 0.05754039565490851, 0.057507237108526128, 0.057476134116700744, 0.057447007485876403, 0.057419785171544807, 0.057394401948119317, 0.057370799042739604, 0.057348923747038628, 0.057328729018335273, 0.05731017307959653, 0.057293219025767249, 0.057277834442640153, 0.057263991043277666, 0.057251664326054705, 0.057240833257624947, 0.057231479983494739, 0.057223589568376927, 0.05721714976808643, 0.057212150834388235, 0.057208585353917964, 0.057206448122047178, 0.057205736052339168], [0.05788752180494839, 0.057889104205115359, 0.057893852338618768, 0.057901769067540271, 0.057912859372907535, 0.05792713067332772, 0.057944593275811931, 0.057965260963892894, 0.057989151730111821, 0.058016288662360423, 0.058046700996534237, 0.058080425351626747, 0.058117507167993104, 0.058158002375272889, 0.05820197932369995, 0.058249521021665827, 0.058300727733991906, 0.058355720010122548, 0.058414642230353919, 0.058477666782602862, 0.058544999013875908, 0.058616883142057104, 0.058693609368336064, 0.058775522503491523, 0.05886303251926453, 0.058956627569258548, 0.059056890206809119, 0.059164517781620379, 0.059280348354971077, 0.059405393983953357, 0.059540883964207689, 0.059688321706910026, 0.059849560549761371, 0.060026906274895035, 0.060223257949816165, 0.06044230481401458, 0.060688806878230514, 0.060969003546654063, 0.061291223293398152, 0.061666818728402871, 0.062111646696026986, 0.062648498248796675, 0.063311262466434745, 0.064152433189611224, 0.065257499283405282, 0.06677469969151599, 0.068982734727866188, 0.072465446591949548, 0.078647061596505224, 0.091902572408843503, 0.13204659393329274, 0.36506436125717395, 0.21151444086860918, 0.076718854491075975, 0.060197696610293928, 0.056523326587139475, 0.055562088783553086, 0.055391843948025384, 0.05548982273776195, 0.055681690753760067, 0.055901825876200809, 0.056123832293282196, 0.056336889033437261, 0.056536733827226314, 0.056721935539239501, 0.056892264249875542, 0.057047955502956965, 0.057189378084752891, 0.057316892530353929, 0.057430803213223761, 0.057531357541530458, 0.05761876880398125, 0.057693249898574148, 0.057755050211765781, 0.05780449037101866, 0.057841990966442255, 0.057868092371249187, 0.057883463829944443, 0.057888901130293824, 0.057885313379139568, 0.057873700525819791, 0.057855124159844187, 0.057830674623459505, 0.05780143756731454, 0.057768462764663228, 0.057732737383626921, 0.057695165135874152, 0.057656551916239085, 0.057617597838397157, 0.057578895031087131, 0.05754093021602593, 0.057504090932990137, 0.05746867427511012, 0.057434897102856944, 0.05740290687322934, 0.057372792413184943, 0.057344594155536451, 0.057318313523852756, 0.057293921291664003, 0.057271364848229957, 0.057250574380240199, 0.057231468030287856, 0.057213956123853875, 0.057197944571878184, 0.057183337560231751, 0.05717003963420314, 0.057157957278352683, 0.057147000081858405, 0.057137081568284842, 0.05712811975752561, 0.057120037517121254, 0.057112762750573615, 0.057106228461820334, 0.057100372727727854, 0.057095138604256621, 0.057090473986760336, 0.057086331440591026, 0.057082668014668145, 0.057079445047829164, 0.057076627975497611, 0.057074186142390133, 0.057072092625555959, 0.057070324070928789, 0.057068860545709379, 0.057067685408243175, 0.057066785196563746, 0.057066149536407332, 0.057065771069238165, 0.057065645400633254, 0.057065663512728973, 0.057065717868335024, 0.05706580852541468, 0.057065935580594127, 0.057066099169194306, 0.057066299465274008, 0.057066536681684835, 0.057066811070136614, 0.057067122921272445, 0.057067472564752704, 0.057067860369346031, 0.057068286743025831, 0.057068752133071485, 0.057069257026169488, 0.057069801948516165, 0.057070387465914904, 0.057071014183868216, 0.057071682747658434, 0.057072393842415373, 0.057073148193164593, 0.057073946564851444, 0.057074789762336736, 0.057075678630355134, 0.057076614053430945, 0.057077596955741959, 0.057078628300923195, 0.057079709091799095, 0.057080840370033387, 0.057082023215684195, 0.057083258746648352, 0.05708454811798036, 0.057085892521066682, 0.057087293182635612, 0.057088751363579826, 0.05709026835756538, 0.057091845489399898, 0.057093484113126633, 0.057095185609809085, 0.05709695138496558, 0.057098782865609397, 0.057100681496843206, 0.05710264873795131, 0.057104686057926748, 0.057106794930361415, 0.057108976827619597, 0.057111233214205789, 0.057113565539225322, 0.057115975227826389, 0.057118463671495076, 0.057121032217062641, 0.057123682154264797, 0.057126414701672408, 0.057129230990793076, 0.05713213204811441, 0.057135118774835222, 0.057138191923994539, 0.057141352074675474, 0.057144599602917033, 0.057147934648921719, 0.057151357080093265, 0.057154866449379199, 0.057158461948324531, 0.057162142354164863, 0.05716590597020102, 0.057169750558596133, 0.057173673264621715, 0.057177670531253055, 0.057181738002862158, 0.057185870416593676, 0.057190061479813342, 0.057194303731803488, 0.057198588387629826, 0.057202905161819403, 0.057207242069169287, 0.057211585199632847, 0.057215918463817517, 0.057220223305149906, 0.057224478374230843, 0.057228659160300184, 0.057232737574061762, 0.05723668147537566, 0.057240454138525812, 0.05724401364691635, 0.05724731220818649, 0.057250295379909541, 0.057252901195362908, 0.057255059178490303, 0.057256689237404068, 0.057257700427046199, 0.057257989574679098, 0.057257439767904157, 0.05725591871583384, 0.057253277013039935, 0.057249346368131525, 0.057243937912878351, 0.057236840798051997, 0.057227821432996026, 0.057216623979296673, 0.057202973138214402, 0.057186581007590734, 0.057167161065016431, 0.057144454604384512, 0.057118279063434266, 0.057088615310214592, 0.057055765537703772, 0.057020642235059843, 0.056985307940552697, 0.056954012949224336, 0.05693526765911823, 0.056946187460646051, 0.05702218359288224, 0.057240358969926769, 0.057782127820682282, 0.059125648026677295, 0.062762665161168393, 0.074733657937435083, 0.13123448324233064, 0.33534007530061005, 0.17283465640792656, 0.10703197111613129, 0.086964124807934778, 0.078456562711179373, 0.07407547911923125, 0.071560379446727246, 0.070041497305082162, 0.069130738665253266, 0.068641431076321466, 0.068486828188157572, 0.068641431076321882, 0.069130738665253419, 0.070041497305081843, 0.07156037944672701, 0.074075479119233179, 0.07845656271117489, 0.086964124807949461, 0.10703197111614525, 0.17283465640795187, 0.33534007530057697, 0.13123448324228129, 0.074733657937423065, 0.062762665161170239, 0.059125648026677385, 0.057782127820682552, 0.057240358969926755, 0.057022183592882233, 0.05694618746064594, 0.056935267659118369, 0.056954012949224454, 0.056985307940552635, 0.057020642235059885, 0.057055765537703751, 0.057088615310214655, 0.057118279063434287, 0.057144454604384512, 0.057167161065016465, 0.057186581007590734, 0.057202973138214402, 0.05721662397929677, 0.057227821432996054, 0.057236840798051983, 0.057243937912878393, 0.057249346368131601, 0.057253277013039915, 0.057255918715833763, 0.057257439767904143, 0.057257989574679133, 0.057257700427046213, 0.057256689237404096, 0.057255059178490351, 0.057252901195362846, 0.057250295379909583, 0.057247312208186504, 0.057244013646916281, 0.057240454138525805, 0.057236681475375667, 0.057232737574061776, 0.057228659160300191, 0.057224478374230871, 0.057220223305149941, 0.057215918463817447, 0.057211585199632799, 0.057207242069169294, 0.057202905161819383, 0.057198588387629784, 0.057194303731803509, 0.057190061479813335, 0.05718587041659362, 0.057181738002862095, 0.057177670531253007, 0.057173673264621701, 0.057169750558596119, 0.057165905970201075, 0.057162142354164856, 0.057158461948324552, 0.057154866449379192, 0.057151357080093244, 0.057147934648921664, 0.057144599602917075, 0.057141352074675474, 0.05713819192399449, 0.057135118774835215, 0.057132132048114452, 0.057129230990793138, 0.057126414701672429, 0.057123682154264777, 0.057121032217062641, 0.057118463671495021, 0.057115975227826417, 0.057113565539225392, 0.057111233214205775, 0.057108976827619576, 0.057106794930361401, 0.057104686057926776, 0.057102648737951324, 0.057100681496843213, 0.05709878286560939, 0.057096951384965552, 0.057095185609809092, 0.057093484113126626, 0.057091845489399912, 0.057090268357565338, 0.057088751363579833, 0.057087293182635668, 0.057085892521066703, 0.057084548117980319, 0.057083258746648359, 0.057082023215684112, 0.057080840370033366, 0.057079709091799116, 0.057078628300923216, 0.057077596955741938, 0.05707661405343091, 0.057075678630355099, 0.057074789762336701, 0.057073946564851499, 0.057073148193164572, 0.057072393842415414, 0.057071682747658455, 0.057071014183868195, 0.057070387465914911, 0.057069801948516172, 0.057069257026169558, 0.057068752133071478, 0.057068286743025866, 0.057067860369346003, 0.057067472564752697, 0.057067122921272452, 0.057066811070136586, 0.057066536681684835, 0.057066299465274029, 0.057066099169194265, 0.057065935580594147, 0.057065808525414714, 0.057065717868335086, 0.057065663512728973, 0.057065645400633185, 0.057065654456398496, 0.057065681629962436, 0.057065726940131276, 0.057065790418253999, 0.057065872108230963, 0.057065972066525646, 0.057066090362178877, 0.057066227076827368, 0.057066382304724633, 0.057066556152764965, 0.057066748740510653, 0.057066960200221319, 0.057067190676886863, 0.057067440328261762, 0.057067709324902509, 0.057067997850206706, 0.057068306100454359, 0.057068634284850275, 0.05706898262556874, 0.057069351357797948, 0.05706974072978678, 0.05707015100289075, 0.05707058245161848, 0.057071035363677913, 0.057071510040021672, 0.057072006794891043, 0.057072525955857996, 0.057073067863865602, 0.057073632873264564, 0.057074221351846574, 0.057074833680873516, 0.057075470255101367, 0.05707613148279804, 0.057076817785754741, 0.057077529599289578, 0.057078267372242038, 0.057079031566958115, 0.057079822659263625, 0.057080641138425939, 0.05708148750710168, 0.057082362281268638, 0.05708326599014206, 0.057084199176071181, 0.057085162394416265, 0.05708615621340267, 0.057087181213951017, 0.057088237989480345, 0.057089327145682163, 0.057090449300262677, 0.057091605082650605, 0.057092795133667523, 0.057094020105157156, 0.057095280659571104, 0.057096577469506117, 0.057097911217190232, 0.057099282593912629, 0.057100692299393803, 0.057102141041089703, 0.057103629533426709, 0.057105158496960649, 0.057106728657454635, 0.057108340744869625, 0.057109995492260986, 0.05711169363457453, 0.057113435907334385, 0.057115223045214998, 0.057117055780489062, 0.057118934841342971, 0.057120860950049784, 0.057122834820990925, 0.057124857158515924, 0.057126928654628838, 0.057129049986491237, 0.057131221813728872, 0.05713344477552959, 0.057135719487519679, 0.0571380465384052, 0.057140426486363159, 0.057142859855168884, 0.057145347130043211, 0.057147888753204576, 0.057150485119109029, 0.05715313656936126, 0.057155843387281066, 0.057158605792105258, 0.057161423932810304, 0.057164297881535868, 0.057167227626593126, 0.057170213065039346, 0.057173253994803289, 0.057176350106343407, 0.057179500973824945, 0.057182706045800932, 0.057185964635383987, 0.057189275909899549, 0.057192638880009118, 0.057196052388301305, 0.057199515097344868, 0.057203025477205967, 0.057206581792436567, 0.057210182088542387, 0.057213824177949804, 0.057217505625492548, 0.057221223733452002, 0.057224975526188694, 0.057228757734415367, 0.057232566779172378, 0.057236398755575978, 0.057240249416425047, 0.057244114155765691, 0.057247987992528247, 0.057251865554366441, 0.057255741061849205, 0.057259608313170986, 0.057263460669569263, 0.057267291041655136, 0.057271091876887358, 0.057274855148439115, 0.057278572345729584, 0.057282234466913079, 0.057285832013638904, 0.057289354988414372, 0.057292792894919883, 0.057296134741640081, 0.057299369049185242, 0.057302483861685752, 0.057305466762641269, 0.057308304895604997, 0.057315816105666252, 0.057321525896896902, 0.05732503777926555, 0.057325950887682713, 0.057323879981151987, 0.0573184794194374, 0.057309469604612896, 0.057296663538255174, 0.057279990494577271, 0.057259513568165915, 0.05723543819693909, 0.057208109734094938, 0.057177999616482046, 0.057145681352350833, 0.057111799043089613, 0.057077032112621738, 0.057042060147836693, 0.057007531263933132, 0.056974036392761399, 0.056942090641356427, 0.056912121670182919, 0.056884464106061301, 0.056859358436122318, 0.05683695263902494, 0.056817304967342198, 0.05680038678962436, 0.056786085319993559, 0.056774207712434001, 0.056764491125978971, 0.056756629670042649, 0.056750342431004484, 0.056745535898311432, 0.056742680440349955, 0.056743678745085992, 0.056753904017533413, 0.056787171428313098, 0.0568786356784622, 0.057121412854379952, 0.057784991505426202, 0.059778894399318251, 0.067104882759472226, 0.10878210658770789, 0.50790384716320203, 0.20369801271712412, 0.11447270083148731, 0.092773232978528963, 0.084414777127074403, 0.080462401730841085, 0.078425180003705575, 0.077363587224961103, 0.076843520922727018, 0.076630425421753093, 0.076580256154162543, 0.076595483308914136, 0.076606188869553199, 0.076561870225830359, 0.076427912294714531, 0.07618383725149476, 0.075821860640943414, 0.075345081073488709, 0.07476515069053738, 0.074099599041969819, 0.073369131921964412, 0.072595226621546174, 0.071798248042191343, 0.070996177509812616, 0.070203927688726395, 0.069433139358581003, 0.068692323274810049, 0.067987213050716616, 0.067321218296000698, 0.066695898016940328, 0.06611140374209129, 0.065566865593427351, 0.065060711402536442, 0.064590919632415728, 0.064155212712442941, 0.063751199915439719, 0.063376479355929674, 0.063028707994415539, 0.062705647313851809, 0.062405190970188026, 0.062125379417402801, 0.061864405366946984, 0.061620612993963736, 0.061392493044019891, 0.061178675403128407, 0.060977920243344148, 0.060789108518815825, 0.060611232338397006, 0.060443385560097908, 0.060284754823086255, 0.060134611141522361, 0.059992302121091023, 0.059857244816053666, 0.059728919216241974, 0.059606862335421278, 0.059490662861779911, 0.059379956325685546, 0.059274420737681389, 0.059173772649827434, 0.059077763595098712, 0.058986176862084488, 0.058898824565290352, 0.058815544974682422, 0.05873620007153979, 0.058660673301116371, 0.058588867495969067, 0.058520702947058988, 0.058456115602858884, 0.058395055379693785, 0.05833748456938681, 0.058283376332997093, 0.058232713271997714, 0.058185486070648558, 0.058141692205560314, 0.058101334720504889, 0.058064421066382481, 0.058030962007900491, 0.058000970599901246, 0.057974461237417313, 0.057951448784378322, 0.057931947786451818, 0.057915971773767359, 0.057903532659228291, 0.057894640237809256, 0.057889301791650465, 0.05788752180494839, 0.057888708457670406, 0.057892267342223268, 0.057898195251036649, 0.057906486882220845, 0.057917134905089901, 0.057930130050757131, 0.057945461226685119, 0.057963115653762345, 0.05798307902419271, 0.05800533567820447, 0.058029868797317731, 0.05805666061165829, 0.058085692618560149, 0.058116945809461681, 0.058150400901865115, 0.058186038572884, 0.058223839690660022, 0.058263785539646583, 0.05830585803546192, 0.058350039924665066, 0.058396314964406781, 0.058444668076441476, 0.058495085469426757, 0.058547554722789927, 0.058602064824666553, 0.058658606155510211, 0.058717170407924069, 0.058777750432044085, 0.058840339994408873, 0.058904933436677388, 0.05897152521879194, 0.059040109329253229, 0.059110678543096082, 0.059183223505966741, 0.059257731620502463, 0.059334185709085226, 0.059412562425158667, 0.059492830383883442, 0.05957494798224254, 0.059658860879202122, 0.059744499108673202, 0.059831773802434242, 0.059920573507628923, 0.060010760094843116, 0.060102164269118429, 0.060194580718687496, 0.060287762965830292, 0.060381418022072787, 0.06047520099666566, 0.060568709863042886, 0.06066148065199678, 0.06075298341051226, 0.060842619337705739, 0.060929719577966238, 0.061013546207508783, 0.061093295982763446, 0.061168107413724922, 0.06123707166771486, 0.061299247684737844, 0.061353681683849207, 0.061399430956653844, 0.061435591485788241, 0.061461328513449008, 0.061475908753810315, 0.061478732544187308, 0.06146936392363548, 0.061447556476209607, 0.06141327283088515, 0.061366695999833173, 0.061308231256713294, 0.061238497964091844, 0.06115831157591288, 0.061068656865229692, 0.060970654151063119, 0.060865520827328157, 0.060754530768879211, 0.060638974184517899, 0.060520120227056627, 0.060399184214176026, 0.060277300739804487, 0.060155503347732578, 0.06003471087109169, 0.059915720067499234, 0.059799203830803865, 0.059685714044434082, 0.059575688048342242, 0.059469457699661311, 0.059367260089238844, 0.059269249104708037, 0.059175507181526588, 0.059086056737434563, 0.059000870929711305, 0.058919883500373013, 0.058842997578265388, 0.058770093388275241, 0.058701034878129915, 0.058635675315170416, 0.058573861932276733, 0.058515439717039625, 0.058460254444265954, 0.058408155051546395, 0.05835899545298761, 0.058312635878954966, 0.05826894382101868, 0.058227794652124104, 0.058189071982931544, 0.058152667806677528, 0.058118482477028006, 0.058086424556344884, 0.058056410565593533, 0.058028364661768236, 0.058002218264145484, 0.057977909646821743, 0.057955383511775309, 0.057934590554021052, 0.057915487028236796, 0.057898034324443716, 0.057882198558868996, 0.057867950184938233, 0.057855263628394098, 0.05784411694976932, 0.057834491536826085, 0.057826371829066615, 0.057819745076017726, 0.057814601130647132, 0.057810932278989077, 0.057808733106815675, 0.057808000403973089], [0.058491143092781486, 0.058492771717377684, 0.058497658617828185, 0.058505806940471056, 0.058517222151079476, 0.058531912370176936, 0.058549888847637323, 0.05857116658212215, 0.058595765093051914, 0.058623709355426039, 0.058655030911029318, 0.058689769173552578, 0.058727972950150996, 0.058769702208227158, 0.058815030124103988, 0.058864045460212469, 0.058916855330068518, 0.058973588426448662, 0.059034398808883906, 0.05909947037336509, 0.059169022161986252, 0.059243314715978219, 0.059322657736075583, 0.059407419394984458, 0.059498037755718096, 0.059595034898148928, 0.059699034560930578, 0.059810784391600036, 0.059931184301250148, 0.060061322998172996, 0.060202525615016329, 0.060356416584843767, 0.060525003786178026, 0.060710792832941715, 0.060916944850752441, 0.061147498225283814, 0.061407686531639472, 0.061704404641836935, 0.062046909483595925, 0.062447904177944831, 0.062925271373512115, 0.063504952391751343, 0.064225949208947072, 0.065149492668933981, 0.066376976767054938, 0.068087992281321966, 0.070629749882008985, 0.074758118538978235, 0.082423732061647784, 0.10018478831467992, 0.16297815199383847, 0.51690523877966799, 0.13793494486101718, 0.069707932027687089, 0.059214637563809333, 0.056672895311240694, 0.056023441811940716, 0.055958673541714909, 0.056096791127194047, 0.056304966438229492, 0.056531944417374295, 0.0567568743499638, 0.056971234015636793, 0.057171751747642122, 0.05735742314483884, 0.057528189660896248, 0.057684338612210527, 0.057826233667072048, 0.057954203598639967, 0.058068509663230003, 0.058169353025680798, 0.058256902444281083, 0.058331331161460935, 0.05839285603397578, 0.058441773921158444, 0.058478491493460218, 0.058503545562967073, 0.05851761206353593, 0.058521502991279735, 0.058516151880661588, 0.058502589578883608, 0.0584819130136476, 0.05845525018714734, 0.058423724710969217, 0.058388422852006627, 0.058350365394594754, 0.058310485787804546, 0.058269615191932529, 0.058228474288920008, 0.058187671155355315, 0.058147704142189879, 0.058108968550168956, 0.058071765896164654, 0.058036314684026688, 0.05800276177590992, 0.057971193666069724, 0.057941647159738166, 0.057914119136916693, 0.057888575226058225, 0.057864957323743166, 0.057843189975964077, 0.057823185689197469, 0.057804849270525364, 0.057788081311023851, 0.057772780930170985, 0.057758847894977185, 0.057746184218906427, 0.057734695334597949, 0.057724290922457941, 0.057714885465363103, 0.057706398588622691, 0.057698755234315738, 0.057691885710299456, 0.057685725646588165, 0.057680215885371477, 0.057675302325571477, 0.057670935738413809, 0.05766707156687275, 0.057663669718933573, 0.057660694362279601, 0.05765811372615709, 0.057655899914716251, 0.057654028734995907, 0.057652479541845374, 0.0576512351014195, 0.05765028147438598, 0.057649607919620274, 0.057649206818901649, 0.057649073622936052, 0.057649092948137109, 0.057649150944467091, 0.057649247674115271, 0.05764938324075923, 0.057649557789608973, 0.057649771507466897, 0.057650024622804864, 0.057650317405856688, 0.057650650168725358, 0.057651023265504427, 0.057651437092411738, 0.057651892087934302, 0.057652388732983208, 0.057652927551054639, 0.057653509108398254, 0.05765413401418637, 0.057654802920684443, 0.057655516523417112, 0.057656275561327866, 0.057657080816926928, 0.057657933116422574, 0.057658833329832175, 0.057659782371064207, 0.057660781197966735, 0.057661830812333496, 0.057662932259859336, 0.057664086630035007, 0.057665295055970456, 0.057666558714135133, 0.057667878823999916, 0.057669256647566912, 0.057670693488768687, 0.057672190692717916, 0.057673749644785575, 0.057675371769482904, 0.057677058529120265, 0.057678811422211623, 0.057680631981590326, 0.057682521772196862, 0.057684482388496536, 0.05768651545147678, 0.057688622605170353, 0.057690805512642704, 0.057693065851374986, 0.057695405307965228, 0.057697825572061094, 0.057700328329426794, 0.057702915254035266, 0.057705587999061829, 0.057708348186642527, 0.057711197396241677, 0.057714137151453855, 0.057717168905044941, 0.057720294022010871, 0.05772351376040661, 0.057726829249665129, 0.057730241466091792, 0.057733751205178992, 0.057737359050340983, 0.057741065337617206, 0.05774487011583497, 0.05774877310165661, 0.057752773628859534, 0.057756870591116442, 0.05776106237744414, 0.057765346799379724, 0.057769721008821925, 0.057774181405329021, 0.057778723531509042, 0.057783341954950149, 0.057788030134934339, 0.057792780271937461, 0.057797583137649239, 0.057802427882940204, 0.05780730182085058, 0.057812190181281455, 0.057817075833618184, 0.057821938973008274, 0.057826756765447025, 0.057831502946189196, 0.057836147365301051, 0.057840655473407034, 0.057844987739870096, 0.057849098994811783, 0.057852937685569199, 0.057856445037490704, 0.057859554108529936, 0.057862188727147316, 0.057864262303946763, 0.05786567650988271, 0.057866319818768636, 0.057866065920800069, 0.057864772029502978, 0.057862277131175921, 0.057858400270547838, 0.057852939040671514, 0.057845668568657214, 0.057836341495166366, 0.05782468979261688, 0.057810429856967223, 0.057793273324540526, 0.057772947846585383, 0.057749235237575441, 0.05772204023530126, 0.057691514048864134, 0.057658278070327924, 0.057623835725409134, 0.057591349719055537, 0.057567158505833237, 0.057563864622818567, 0.057606975837849905, 0.057750208692964031, 0.058114033930327394, 0.058994810678471031, 0.061227008863743791, 0.067689177977626996, 0.091990619075968741, 0.22240029189881005, 0.27747378287419844, 0.13694715302405647, 0.098645576374871868, 0.08474286163535058, 0.078219682877106816, 0.074683886143336126, 0.072625486435148184, 0.07141973457815276, 0.070780921706637717, 0.070580398514675652, 0.070780921706638189, 0.071419734578152913, 0.072625486435147754, 0.074683886143335917, 0.078219682877109342, 0.084742861635343905, 0.098645576374897334, 0.13694715302408422, 0.27747378287424407, 0.22240029189838167, 0.09199061907594977, 0.067689177977621515, 0.061227008863744888, 0.058994810678471045, 0.058114033930327581, 0.057750208692964052, 0.057606975837849864, 0.0575638646228184, 0.05756715850583341, 0.057591349719055669, 0.057623835725409071, 0.057658278070327973, 0.057691514048864134, 0.057722040235301308, 0.057749235237575462, 0.057772947846585349, 0.057793273324540574, 0.057810429856967237, 0.057824689792616853, 0.057836341495166484, 0.057845668568657221, 0.057852939040671528, 0.057858400270547873, 0.057862277131175997, 0.057864772029502957, 0.057866065920799993, 0.057866319818768615, 0.057865676509882745, 0.057864262303946791, 0.057862188727147365, 0.057859554108529956, 0.057856445037490656, 0.057852937685569247, 0.057849098994811804, 0.057844987739870048, 0.057840655473407027, 0.057836147365301072, 0.05783150294618921, 0.057826756765447025, 0.057821938973008316, 0.057817075833618219, 0.057812190181281392, 0.057807301820850546, 0.057802427882940238, 0.057797583137649218, 0.057792780271937419, 0.057788030134934359, 0.057783341954950135, 0.057778723531508994, 0.057774181405328966, 0.057769721008821863, 0.057765346799379724, 0.057761062377444133, 0.057756870591116498, 0.057752773628859541, 0.057748773101656645, 0.05774487011583497, 0.057741065337617171, 0.057737359050340963, 0.057733751205179047, 0.057730241466091785, 0.057726829249665115, 0.057723513760406624, 0.057720294022010898, 0.057717168905045017, 0.057714137151453855, 0.057711197396241698, 0.057708348186642527, 0.05770558799906178, 0.057702915254035272, 0.057700328329426863, 0.057697825572061059, 0.057695405307965186, 0.057693065851374965, 0.057690805512642704, 0.05768862260517036, 0.057686515451476801, 0.057684482388496501, 0.057682521772196835, 0.057680631981590326, 0.057678811422211644, 0.057677058529120272, 0.057675371769482883, 0.057673749644785589, 0.057672190692717964, 0.057670693488768736, 0.057669256647566863, 0.057667878823999895, 0.057666558714135077, 0.057665295055970442, 0.057664086630035014, 0.057662932259859356, 0.057661830812333462, 0.057660781197966707, 0.057659782371064165, 0.057658833329832154, 0.05765793311642263, 0.057657080816926894, 0.057656275561327915, 0.057655516523417161, 0.057654802920684464, 0.057654134014186356, 0.057653509108398268, 0.057652927551054715, 0.057652388732983187, 0.057651892087934344, 0.057651437092411731, 0.057651023265504413, 0.057650650168725372, 0.057650317405856681, 0.057650024622804871, 0.057649771507466897, 0.057649557789608952, 0.057649383240759244, 0.057649247674115299, 0.057649150944467153, 0.057649092948137123, 0.057649073622935976, 0.057649083285212815, 0.057649112278521493, 0.057649160622298572, 0.057649228348943711, 0.057649315503828333, 0.057649422145307577, 0.057649548344734763, 0.057649694186480013, 0.057649859767951686, 0.057650045199620491, 0.057650250605047096, 0.057650476120911821, 0.057650721897048077, 0.057650988096476861, 0.057651274895444755, 0.057651582483463297, 0.057651911063350776, 0.057652260851274909, 0.057652632076797813, 0.057653024982920832, 0.057653439826131407, 0.057653876876449295, 0.057654336417472987, 0.057654818746426029, 0.057655324174202063, 0.057655853025408751, 0.05765640563840909, 0.057656982365361459, 0.057657583572255172, 0.057658209638942824, 0.057658860959168348, 0.057659537940589159, 0.057660241004792299, 0.057660970587303503, 0.057661727137588312, 0.057662511119043532, 0.057663323008978973, 0.05766416329858693, 0.057665032492899428, 0.05766593111073097, 0.057666859684604908, 0.057667818760663424, 0.057668808898557036, 0.057669830671314058, 0.05767088466518578, 0.057671971479467475, 0.057673091726290787, 0.057674246030386435, 0.057675435028813789, 0.057676659370654713, 0.057677919716669045, 0.057679216738907246, 0.057680551120278103, 0.057681923554066636, 0.057683334743399095, 0.057684785400649599, 0.057686276246785829, 0.057687808010645991, 0.057689381428145121, 0.057690997241402593, 0.057692656197786588, 0.057694359048868438, 0.05769610654928025, 0.057697899455469631, 0.057699738524342507, 0.057701624511787987, 0.057703558171074712, 0.057705540251112269, 0.057707571494565887, 0.0577096526358164, 0.05771178439875406, 0.057713967494395141, 0.057716202618310709, 0.05771849044785457, 0.057720831639177989, 0.057723226824017926, 0.057725676606245419, 0.057728181558158828, 0.05773074221650798, 0.057733359078232835, 0.057736032595901876, 0.057738763172832837, 0.057741551157879017, 0.057744396839865479, 0.057747300441655512, 0.057750262113832163, 0.057753281927975533, 0.057756359869520053, 0.057759495830172682, 0.057762689599877945, 0.057765940858311417, 0.057769249165888291, 0.057772613954273272, 0.057776034516378291, 0.057779509995840653, 0.057783039375969993, 0.057786621468163692, 0.05779025489978578, 0.057793938101513037, 0.057797669294156584, 0.057801446474969292, 0.057805267403459808, 0.057809129586737069, 0.057813030264420126, 0.057816966393154472, 0.057820934630786934, 0.05782493132026377, 0.057828952473324549, 0.057832993754081484, 0.057837050462586359, 0.057841117518503765, 0.057845189445023606, 0.057849260353167252, 0.05785332392665727, 0.057857373407543031, 0.057861401582791669, 0.057865400772078884, 0.057869362817032054, 0.057873279072200766, 0.057877140398050933, 0.057880937156297239, 0.057884659207908917, 0.057888295914138396, 0.057891836140937639, 0.057895268267135362, 0.057898580196757178, 0.057901759375867008, 0.057904792814307042, 0.05791288284724673, 0.057919158494536549, 0.057923220967726244, 0.057924668203447396, 0.057923115156616398, 0.057918218029267776, 0.057909700902216386, 0.057897382413183353, 0.057881199492226053, 0.05786122494115712, 0.057837675996901108, 0.057810911992349612, 0.057781420690682588, 0.05774979452568655, 0.057716699453107874, 0.057682840065678725, 0.057648924855007687, 0.057615635026876277, 0.057583599280799605, 0.057553375734519144, 0.057525440991888353, 0.057500185424803528, 0.057477913168015163, 0.057458845121604936, 0.057443123385569651, 0.057430815993025741, 0.057421921625574586, 0.057416375435514984, 0.057414059791949176, 0.0574148291311255, 0.057418569302232429, 0.057425336140636773, 0.057435672864325521, 0.057451335044024998, 0.057476972686012553, 0.057524171124645036, 0.057621716984192529, 0.057843904487600635, 0.058398286889755756, 0.059948272762630948, 0.065153028558540632, 0.090076205746887988, 0.32991180143327148, 0.28929116393597809, 0.13183991862161337, 0.10015733050254005, 0.089087579575290177, 0.084128620102857252, 0.081670105015930139, 0.080439375841048016, 0.079873743644033171, 0.079677620030551399, 0.079672185860437672, 0.079736951254137364, 0.079785536379764072, 0.079755672422768945, 0.079605218091792676, 0.079310295803169367, 0.078863578263564174, 0.078271863866309466, 0.077552818669056778, 0.076731220562742924, 0.075835228255900222, 0.074893157747310868, 0.073931071485221128, 0.072971271571644861, 0.072031613934791516, 0.071125459356340917, 0.070262047570190167, 0.069447100842297715, 0.068683508253903625, 0.067971991598749198, 0.067311696859106998, 0.066700687162814215, 0.066136333928687549, 0.065615614680885781, 0.065135331393540719, 0.064692264574971348, 0.064283277401191524, 0.063905382264612218, 0.063555779849520364, 0.063231878681400761, 0.062931301208047297, 0.062651880915551961, 0.062391653752870466, 0.062148846194997026, 0.061921861567013223, 0.061709265730595396, 0.061509772857949604, 0.061322231750103429, 0.061145612968823239, 0.060978996922394078, 0.060821562958715242, 0.060672579462385828, 0.060531394916781729, 0.060397429871053961, 0.06027016974086459, 0.060149158367228887, 0.060033992257717259, 0.059924315436879524, 0.059819814836988991, 0.059720216165302993, 0.059625280189524101, 0.059534799388695547, 0.059448594922195223, 0.059366513874676202, 0.059288426739713046, 0.059214225109503908, 0.059143819542270749, 0.059077137583001288, 0.05901412191691105, 0.058954728638476055, 0.058898925622134835, 0.058846690983776179, 0.058798011624925227, 0.058752881854117693, 0.058711302082300403, 0.058673277591197531, 0.058638817375441459, 0.05860793306082903, 0.058580637902358138, 0.058556945866672386, 0.058536870804201765, 0.05852042571663469, 0.05850762212537234, 0.058498469546351801, 0.058492975076062458, 0.058491143092781486, 0.058492364408221732, 0.058496027283687489, 0.058502128520519607, 0.058510662833797793, 0.058521622921025626, 0.058534999557124406, 0.058550781714589314, 0.058568956707346312, 0.058589510356552563, 0.05861242717630006, 0.058637690576907001, 0.058665283083225384, 0.058695186565143165, 0.058727382477214943, 0.058761852104116344, 0.058798576808363257, 0.058837538276487709, 0.058878718759566982, 0.058922101303694491, 0.05896766996561565, 0.059015410008326996, 0.059065308070943005, 0.059117352306538057, 0.059171532480977382, 0.059227840024915941, 0.059286268030165575, 0.059346811180489657, 0.059409465605550729, 0.059474228645205462, 0.059541098509601126, 0.059610073818566381, 0.059681153001624854, 0.059754333537606341, 0.059829611010325953, 0.059906977954238681, 0.059986422461441688, 0.060067926519068095, 0.060151464044225514, 0.060236998582481639, 0.060324480635918748, 0.060413844588503102, 0.060505005200630214, 0.060597853652060683, 0.060692253124058133, 0.060788033928550339, 0.060884988215838216, 0.060982864324091952, 0.061081360874846204, 0.061180120769855968, 0.061278725306361734, 0.061376688699405012, 0.061473453379231068, 0.061568386514927895, 0.061660778295599614, 0.061749842567920647, 0.061834720471059611, 0.061914487711120875, 0.061988166060155503, 0.062054739532585702, 0.062113175471216794, 0.062162450460149135, 0.06220158057920528, 0.062229655046401967, 0.062245871802317713, 0.062249573131086269, 0.062240279057385162, 0.062217716079400576, 0.062181838854838474, 0.062132842784501062, 0.062071166030627296, 0.061997480315126668, 0.061912670774721401, 0.061817806086966694, 0.061714100897762691, 0.06160287316942753, 0.061485499358686205, 0.061363370305755512, 0.061237850398980866, 0.061110242044207681, 0.060981756807176553, 0.06085349390727364, 0.060726426105569421, 0.060601392508954993, 0.060479097437230248, 0.060360114277060485, 0.060244893161596272, 0.060133771340490937, 0.060026985210074248, 0.059924683126170115, 0.059826938295499142, 0.059733761215082379, 0.059645111288459084, 0.059560907384720418, 0.059481037217934109, 0.059405365510511184, 0.059333740966634359, 0.059266002124383918, 0.059201982181414321, 0.059141512902661175, 0.059084427722885594, 0.059030564154703091, 0.058979765606348086, 0.058931882704523805, 0.058886774207569201, 0.058844307583737612, 0.058804359319241668, 0.058766815011245935, 0.058731569292397222, 0.058698525625865361, 0.058667596003230321, 0.058638700571857681, 0.058611767213576742, 0.058586731092429144, 0.058563534185895612, 0.05854212481123898, 0.058522457156339532, 0.058504490822558916, 0.058488190385685618, 0.058473524979819946, 0.058460467908099979, 0.058448996283402138, 0.058439090701539909, 0.05843073494898416, 0.058423915746736242, 0.058418622531650949, 0.058414847276234499, 0.058412584347714111, 0.058411830406966181], [0.059100065675388197, 0.059101741981342576, 0.059106772025666152, 0.059115159257560515, 0.059126909659194815, 0.059142032098677702, 0.05916053882983361, 0.059182446144823306, 0.059207775187980198, 0.059236552942074479, 0.059268813401718627, 0.059304598952959586, 0.059343961983532804, 0.059386966755063428, 0.059433691577079804, 0.059484231333561288, 0.059538700426556748, 0.059597236219060809, 0.059660003082035312, 0.05972719717987246, 0.059799052166946344, 0.059875846018364216, 0.059957909284964507, 0.06004563515229068, 0.060139491804571205, 0.060240037760609405, 0.060347941077887692, 0.060464003642307765, 0.060589192216412228, 0.06072467857390608, 0.060871892004584684, 0.061032588893055302, 0.061208946218823404, 0.061403689128340024, 0.061620267927521503, 0.061863108218167574, 0.062137971752738615, 0.062452489168002868, 0.062816967259700249, 0.063245649247344757, 0.063758750867211902, 0.064385884006843461, 0.06517209148981877, 0.066189103352266423, 0.067557834182724305, 0.069497405508144844, 0.072444553617395338, 0.077391380005522648, 0.087066644442289148, 0.11166677729633699, 0.21679213773061304, 0.46441596834203741, 0.10304950002140668, 0.065638308944303808, 0.058721142488860616, 0.056951131983643932, 0.056530139224276278, 0.056545931904418922, 0.056715454367411287, 0.056936566114826462, 0.057169026684057232, 0.057396341776494865, 0.057611822505203344, 0.057812991373494521, 0.057999182813685005, 0.058170468363887257, 0.058327166803800928, 0.058469626139505376, 0.05859813748928356, 0.058712915360083433, 0.058814112184352126, 0.058901850344940297, 0.058976262036374932, 0.059037530605990415, 0.059085928604289913, 0.059121848723589512, 0.059145824668192785, 0.059158540024818448, 0.059160824431176762, 0.059153637674271273, 0.05913804360808491, 0.059115176766753902, 0.059086205112662091, 0.059052292433946163, 0.059014563526411129, 0.058974074576707169, 0.058931790267863299, 0.058888568218634231, 0.058845150576424046, 0.058802161990808309, 0.058760112828866888, 0.058719406339620805, 0.058680348490758809, 0.058643159333473097, 0.058607984949008665, 0.058574909250983576, 0.058543965130288339, 0.058515144615953869, 0.058488407877158026, 0.058463691006962637, 0.058440912610305248, 0.058419979272385889, 0.058400790014786701, 0.058383239861149995, 0.058367222636983941, 0.058352633123190785, 0.05833936867333385, 0.058327330392714198, 0.058316423964594626, 0.058306560196396962, 0.058297655347030235, 0.058289631286006054, 0.058282415525797104, 0.058275941160997664, 0.058270146741177593, 0.058264976098771196, 0.058260378148778824, 0.058256306673339191, 0.058252720101238477, 0.058249581290028531, 0.058246857316534326, 0.058244519280048285, 0.058242542121360319, 0.058240904459889678, 0.058239588450519783, 0.058238579661241054, 0.058237866972343996, 0.058237442497646161, 0.058237301528055258, 0.058237322108145195, 0.058237383870598611, 0.058237486881977434, 0.058237631253255574, 0.058237817139875359, 0.058238044741825291, 0.058238314303739984, 0.058238626115020543, 0.058238980509975231, 0.058239377867979593, 0.058239818613654445, 0.058240303217060696, 0.0582408321939102, 0.058241406105788415, 0.058242025560391042, 0.058242691211767672, 0.05824340376057343, 0.058244163954323282, 0.058244972587647152, 0.058245830502540938, 0.058246738588608744, 0.058247697783293292, 0.058248709072086124, 0.058249773488713311, 0.05825089211528852, 0.058252066082425669, 0.058253296569301796, 0.058254584803659769, 0.058255932061740068, 0.058257339668127066, 0.058258808995496875, 0.058260341464248876, 0.058261938542003275, 0.058263601742943462, 0.058265332626979652, 0.058267132798708071, 0.058269003906135756, 0.058270947639138058, 0.058272965727610773, 0.058275059939276931, 0.058277232077099603, 0.058279483976248561, 0.058281817500562202, 0.058284234538437465, 0.058286736998073588, 0.05828932680198616, 0.058292005880696218, 0.058294776165490322, 0.058297639580130761, 0.0583005980313838, 0.058303653398215055, 0.058306807519482938, 0.058310062179940399, 0.058313419094330361, 0.05831687988933508, 0.058320446083107311, 0.058324119062078274, 0.058327900054698435, 0.058331790101722368, 0.058335790022600587, 0.058339900377484766, 0.058344121424289103, 0.058348453070177227, 0.058352894816765678, 0.058357445698238926, 0.058362104211467002, 0.058366868237098815, 0.05837173495046518, 0.058376700720975998, 0.058381760998515379, 0.058386910185144712, 0.058392141490192853, 0.058397446766556893, 0.058402816325745621, 0.058408238728862166, 0.058413700550350084, 0.058419186110898594, 0.058424677175423934, 0.058430152611505158, 0.058435588003052936, 0.058440955213324992, 0.058446221890681355, 0.058451350909699364, 0.058456299739470738, 0.058461019730118899, 0.058465455307879291, 0.05846954306859501, 0.058473210759400901, 0.058476376139015761, 0.058478945708959951, 0.058480813312001736, 0.058481858601544451, 0.058481945398685981, 0.058480919975814068, 0.058478609342627802, 0.058474819671884899, 0.058469335103853264, 0.058461917337195905, 0.058452306695865437, 0.058440225836754948, 0.058425388073945039, 0.058407513701168833, 0.058386360175446766, 0.058361776499298058, 0.058333800410542147, 0.058302832726361942, 0.058269954145049957, 0.058237513102497661, 0.058210248659368628, 0.058197517723952381, 0.058217929308218036, 0.058309588843365984, 0.058554558556749806, 0.059143393344859997, 0.060569582668248356, 0.064333026105540869, 0.076248251945854079, 0.12856656575841743, 0.33723564498523617, 0.20091072119917447, 0.11908507662687605, 0.094230931824751618, 0.08391737891592066, 0.078727063542494591, 0.075842018264064781, 0.074200253343302616, 0.073345170150655531, 0.073078887968018799, 0.073345170150656239, 0.074200253343302755, 0.075842018264064198, 0.078727063542493911, 0.083917378915924587, 0.09423093182474046, 0.11908507662692222, 0.20091072119923409, 0.33723564498522512, 0.12856656575823977, 0.076248251945846016, 0.064333026105537927, 0.060569582668249064, 0.059143393344860032, 0.058554558556749951, 0.058309588843366046, 0.058217929308218029, 0.058197517723952222, 0.058210248659368788, 0.058237513102497786, 0.058269954145049895, 0.058302832726361997, 0.058333800410542175, 0.058361776499298107, 0.058386360175446822, 0.058407513701168798, 0.058425388073945074, 0.058440225836754955, 0.058452306695865416, 0.058461917337195995, 0.058469335103853284, 0.058474819671884892, 0.05847860934262783, 0.058480919975814116, 0.058481945398685967, 0.058481858601544381, 0.058480813312001695, 0.058478945708959978, 0.058476376139015761, 0.058473210759400963, 0.058469543068595052, 0.058465455307879256, 0.058461019730118954, 0.058456299739470759, 0.058451350909699336, 0.058446221890681348, 0.058440955213324999, 0.058435588003052957, 0.05843015261150513, 0.058424677175423968, 0.058419186110898622, 0.058413700550350008, 0.058408238728862111, 0.058402816325745628, 0.058397446766556886, 0.058392141490192812, 0.058386910185144747, 0.058381760998515372, 0.058376700720975935, 0.058371734950465125, 0.058366868237098732, 0.058362104211467009, 0.058357445698238919, 0.05835289481676572, 0.05834845307017722, 0.058344121424289117, 0.058339900377484773, 0.058335790022600545, 0.058331790101722319, 0.058327900054698477, 0.05832411906207826, 0.058320446083107276, 0.058316879889335087, 0.058313419094330396, 0.058310062179940468, 0.058306807519482931, 0.058303653398215041, 0.058300598031383807, 0.05829763958013072, 0.058294776165490343, 0.058292005880696288, 0.05828932680198614, 0.05828673699807356, 0.058284234538437445, 0.058281817500562223, 0.058279483976248582, 0.05827723207709963, 0.058275059939276931, 0.058272965727610725, 0.058270947639138079, 0.058269003906135784, 0.058267132798708057, 0.058265332626979603, 0.058263601742943469, 0.058261938542003296, 0.058260341464248883, 0.058258808995496826, 0.058257339668127045, 0.058255932061739998, 0.058254584803659776, 0.058253296569301824, 0.058252066082425696, 0.058250892115288479, 0.058249773488713297, 0.058248709072086097, 0.058247697783293265, 0.0582467385886088, 0.058245830502540882, 0.058244972587647194, 0.058244163954323309, 0.058243403760573423, 0.058242691211767679, 0.05824202556039107, 0.058241406105788478, 0.058240832193910165, 0.058240303217060738, 0.058239818613654445, 0.058239377867979593, 0.058238980509975266, 0.058238626115020536, 0.058238314303739991, 0.058238044741825326, 0.058237817139875324, 0.058237631253255595, 0.058237486881977468, 0.058237383870598632, 0.058237322108145223, 0.058237301528055181, 0.05823731181773379, 0.05823734269346393, 0.058237394175330651, 0.058237466296814491, 0.058237559104800239, 0.05823767265958911, 0.058237807034913353, 0.05823796231795525, 0.058238138609368655, 0.058238336023303541, 0.058238554687433962, 0.058238794742988154, 0.058239056344782186, 0.05823933966125508, 0.058239644874507092, 0.058239972180339536, 0.058240321788296925, 0.058240693921710107, 0.058241088817741427, 0.058241506727429983, 0.058241947915738654, 0.0582424126616004, 0.058242901257965024, 0.058243414011845046, 0.058243951244361075, 0.058244513290784936, 0.058245100500580994, 0.058245713237445249, 0.058246351879340193, 0.058247016818526148, 0.05824770846158786, 0.058248427229455148, 0.058249173557417259, 0.058249947895129384, 0.058250750706611475, 0.058251582470236471, 0.058252443678708597, 0.05825333483902894, 0.058254256472448078, 0.058255209114403857, 0.058256193314441922, 0.058257209636119356, 0.058258258656887073, 0.058259340967951288, 0.058260457174109964, 0.058261607893563973, 0.05826279375769898, 0.058264015410836201, 0.058265273509949193, 0.058266568724343423, 0.058267901735296404, 0.058269273235653458, 0.058270683929377093, 0.058272134531044947, 0.058273625765293123, 0.058275158366199523, 0.058276733076603901, 0.058278350647357716, 0.058280011836500605, 0.058281717408356228, 0.058283468132542218, 0.058285264782887765, 0.058287108136251549, 0.058288998971234095, 0.058290938066775058, 0.058292926200629161, 0.058294964147711001, 0.058297052678300459, 0.058299192556098375, 0.058301384536123581, 0.058303629362439317, 0.058305927765698859, 0.058308280460498463, 0.058310688142525297, 0.0583131514854872, 0.058315671137811366, 0.058318247719098014, 0.05832088181631382, 0.058323573979710996, 0.058326324718455731, 0.058329134495950619, 0.05833200372483411, 0.058334932761639986, 0.058337921901101132, 0.058340971370078223, 0.058344081321097918, 0.058347251825481457, 0.058350482866048485, 0.058353774329376468, 0.058357125997602885, 0.058360537539751373, 0.058364008502569502, 0.058367538300864726, 0.058371126207325867, 0.058374771341823305, 0.058378472660177483, 0.058382228942396253, 0.058386038780377382, 0.058389900565081088, 0.058393812473182975, 0.058397772453218602, 0.058401778211243226, 0.058405827196032115, 0.058409916583858773, 0.058414043262894406, 0.058418203817284298, 0.058422394510967354, 0.058426611271315564, 0.058430849672685574, 0.058435104919988524, 0.05843937183240009, 0.058443644827347235, 0.058447917904930653, 0.058452184632955734, 0.058456438132768657, 0.058460671066111289, 0.058464875623232104, 0.058469043512510123, 0.058473165951869605, 0.058477233662284654, 0.058481236863691215, 0.058485165273643017, 0.058489008109062317, 0.058492754091451021, 0.058496391455934708, 0.058499907964520245, 0.058503290923943484, 0.058506527208479965, 0.058515218899295139, 0.058522083524553001, 0.058526719966048149, 0.058528724951138318, 0.05852771365104284, 0.058523344176114642, 0.058515344415110214, 0.058503538854327762, 0.058487872396623376, 0.058468427993065612, 0.058445435264448731, 0.058419268264528396, 0.058390431989259133, 0.058359538875590478, 0.058327277988380458, 0.058294380531241093, 0.05826158554892294, 0.058229609224739846, 0.058199120200312766, 0.058170722134910646, 0.058144943554940251, 0.058122234123961503, 0.05810296589055753, 0.058087437856783296, 0.058075882317028302, 0.058068471815863068, 0.058065326304655829, 0.058066521341664006, 0.058072100501870928, 0.058082099730265256, 0.058096600833314388, 0.058115851671350582, 0.058140536073552296, 0.058172382190592904, 0.058215556369307281, 0.058279962103237576, 0.058389458005697031, 0.058603912609004695, 0.05908500253506721, 0.060324779170759776, 0.064143231586870395, 0.079996952074243316, 0.20062227720148326, 0.43647432804811753, 0.15894770747892853, 0.1100942788087946, 0.09494641888334511, 0.088576802303093838, 0.085553910519592893, 0.084107016697477568, 0.083491313717416943, 0.083327627836369808, 0.08339020026727699, 0.083527502728428404, 0.083630721750097919, 0.083621505010969474, 0.083447587254976405, 0.083080921239950492, 0.082515610415804491, 0.081764526022976722, 0.080854581125970978, 0.079821296718008819, 0.078703522948257248, 0.077539049226393653, 0.076361511854410591, 0.075198658891407227, 0.074071775288881397, 0.072995946163201458, 0.071980823490003135, 0.071031617516023743, 0.070150116087445355, 0.069335613939405225, 0.068585695826984996, 0.067896859097771975, 0.067264985608928213, 0.066685684487014688, 0.066154530693619248, 0.065667223265147304, 0.065219683869369841, 0.064808112439449034, 0.064429012902979255, 0.064079198779017299, 0.063755785778265336, 0.063456176488125793, 0.063178040675919617, 0.062919293604789775, 0.062678073936656781, 0.062452722216966475, 0.062241760533758593, 0.062043873669889518, 0.061857891885165855, 0.061682775347428179, 0.061517600158527599, 0.061361545878439269, 0.061213884428474447, 0.061073970245639049, 0.060941231559796673, 0.060815162670115025, 0.060695317105064359, 0.060581301559516895, 0.060472770512326891, 0.060369421437537672, 0.060270990531731801, 0.060177248888810313, 0.060087999061589979, 0.060003071957004876, 0.05992232401844505, 0.05984563465488394, 0.059772903882006366, 0.059704050145610379, 0.059639008302179428, 0.059577727735737995, 0.059520170593982166, 0.059466310130227254, 0.059416129140964731, 0.059369618491784376, 0.05932677572709727, 0.059287603761479443, 0.059252109652556603, 0.059220303457117547, 0.059192197173610392, 0.059167803775290545, 0.059147136339066847, 0.059130207275530144, 0.059117027665733499, 0.059107606710077844, 0.059101951294126327, 0.059100065675388197, 0.05910132274600649, 0.059105092891512029, 0.059111372927437116, 0.059120157594757763, 0.059131439631930599, 0.059145209874550998, 0.059161457381458983, 0.059180169585795972, 0.059201332469215176, 0.059224930757157325, 0.059250948132824353, 0.059279367467222045, 0.059310171062387132, 0.059343340904666267, 0.059378858924668765, 0.05941670726025635, 0.059456868518674995, 0.059499326033629299, 0.05954406411277912, 0.059591068270755734, 0.059640325442346209, 0.059691824169973769, 0.059745554758963523, 0.059801509393343208, 0.059859682204029589, 0.059920069280194319, 0.059982668613365132, 0.060047479962362711, 0.060114504625495342, 0.060183745104513638, 0.060255204642650557, 0.060328886616650507, 0.060404793760034665, 0.0604829271919912, 0.060563285223310573, 0.060645861907790075, 0.060730645304693201, 0.060817615415406867, 0.060906741755712389, 0.060997980524532661, 0.061091271331217466, 0.061186533447131146, 0.061283661554447762, 0.061382520976766955, 0.061482942393761932, 0.06158471606704035, 0.061687585638288418, 0.061791241605095845, 0.061895314635819459, 0.061999368953064113, 0.062102896095397028, 0.062205309456714132, 0.062305940097962184, 0.062404034419451991, 0.062498754363096681, 0.062589180868143593, 0.062674321313495901, 0.062753121624451763, 0.062824483581621737, 0.062887287628580063, 0.06294042112456244, 0.062982811535153768, 0.063013463521975843, 0.063031498328071894, 0.063036193325869308, 0.06302701918087189, 0.063003671871140102, 0.062966096861436144, 0.062914503101866748, 0.06284936519829111, 0.062771413027145728, 0.062681609133584504, 0.062581115319799333, 0.062471250754159997, 0.062353444587221467, 0.062229186369127693, 0.062099977504842814, 0.061967286597894883, 0.06183251090460283, 0.061696945358623981, 0.061561759841728063, 0.061427984665547532, 0.061296503656161273, 0.061168053831445732, 0.061043230433043404, 0.060922496001148144, 0.060806192228399995, 0.060694553461524629, 0.060587720900143083, 0.060485756741381791, 0.0603886577140684, 0.060296367622619598, 0.06020878867015126, 0.060125791449997121, 0.060047223585482874, 0.059972917062468226, 0.059902694341936673, 0.059836373365172217, 0.059773771576018611, 0.059714709087026849, 0.059659011112036781, 0.059606509779316759, 0.059557045428636324, 0.059510467483902582, 0.059466634981167145, 0.059425416820511778, 0.059386691799903663, 0.059350348479759757, 0.059316284918744092, 0.05928440831421912, 0.059254634574722971, 0.059226887846749128, 0.059201100013862008, 0.059177210182679872, 0.059155164167387794, 0.05913491398211531, 0.059116417348631156, 0.059099637225300629, 0.059084541362044635, 0.059071101885082161, 0.059059294914473669, 0.059049100216881562, 0.059040500895475544, 0.059033483118528796, 0.059028035887930742, 0.059024150848582216, 0.059021822139421545, 0.059021046286632788], [0.059712452375460447, 0.059714177829277154, 0.059719355423500563, 0.059727988929940225, 0.059740084880743435, 0.059755652940055179, 0.059774706430452358, 0.059797263020722018, 0.059823345584085572, 0.059852983239056128, 0.059886212588917902, 0.059923079180522303, 0.059963639208996569, 0.060007961502370019, 0.060056129829466995, 0.060108245586258054, 0.060164430930952598, 0.06022483245743343, 0.060289625521529888, 0.060359019366946369, 0.060433263239911328, 0.060512653737340188, 0.060597543707424303, 0.060688353121137559, 0.06078558246825199, 0.060889829416780103, 0.061001809731946785, 0.061122383812119513, 0.061252590713593479, 0.061393692279158987, 0.061547231075225951, 0.06171510746786682, 0.061899683637411711, 0.062103926157801498, 0.062331604828426979, 0.062587575283871474, 0.062878189309619942, 0.063211904977581612, 0.063600218821398546, 0.064059134844647814, 0.064611563903593253, 0.065291410232357905, 0.066150885483865163, 0.067274405852623301, 0.068807011180245931, 0.071018122611432491, 0.074462926519905909, 0.080463796695087464, 0.092932432287907818, 0.12842851992560309, 0.31581509073554881, 0.28235821723902693, 0.085291031578128909, 0.063236182908038882, 0.058552167403551597, 0.057321905944416017, 0.05707080183903411, 0.057148654260713846, 0.057342865469712768, 0.057574266439511475, 0.057811133091101627, 0.058040412860847476, 0.058256883241347472, 0.058458703047926892, 0.058645473778350277, 0.058817362838192069, 0.058974703347436562, 0.059117818542096308, 0.059246956609582069, 0.059362281897854918, 0.059463895649499006, 0.059551871969884831, 0.059626300522585982, 0.059687330073025548, 0.05973520824663666, 0.059770313652509774, 0.059793177328893193, 0.059804491503543306, 0.059805104947083791, 0.059796005609182711, 0.059778292563304594, 0.059753140331048359, 0.059721759247700207, 0.059685355597723741, 0.059645094831016078, 0.059602070394673815, 0.05955727975500992, 0.059511608216237855, 0.059465820305518682, 0.059420557873425123, 0.059376343681733224, 0.059333589098520968, 0.059292604547362286, 0.059253611505570319, 0.059216755060884523, 0.059182116271854726, 0.059149723802779601, 0.059119564500467015, 0.059091592738778433, 0.059065738476744081, 0.059041914060405563, 0.059020019853157406, 0.058999948810589016, 0.058981590129753229, 0.058964832104647522, 0.058949564313708139, 0.058935679254523636, 0.0589230735280801, 0.058911648661276433, 0.05890131164321448, 0.058891975238496937, 0.058883558129772785, 0.058875984932173858, 0.058869186114075607, 0.058863097851704738, 0.058857661839378225, 0.058852825072452424, 0.058848539616235131, 0.058844762371042483, 0.058841454841132818, 0.058838582913318199, 0.058836116649543885, 0.058834030096561497, 0.058832301114927175, 0.058830911228888561, 0.058829845498226459, 0.058829092412756447, 0.058828643809942904, 0.058828494815900585, 0.058828516693592695, 0.058828582350359607, 0.058828691857287063, 0.058828845332897173, 0.05882904294321812, 0.058829284901880038, 0.058829571470238637, 0.058829902957524799, 0.0588302797210195, 0.058830702166254356, 0.05883117074723531, 0.058831685966689432, 0.058832248376333329, 0.05883285857716028, 0.058833517219746952, 0.058834225004574636, 0.058834982682364839, 0.058835791054425018, 0.058836650973002717, 0.05883756334164314, 0.05883852911554651, 0.058839549301922117, 0.058840624960331087, 0.05884175720301444, 0.058842947195198184, 0.058844196155368962, 0.058845505355510669, 0.058846876121293037, 0.05884830983220167, 0.058849807921595693, 0.058851371876681241, 0.058853003238383439, 0.058854703601100219, 0.058856474612317917, 0.058858317972066282, 0.058860235432188032, 0.058862228795394718, 0.058864299914077142, 0.058866450688834088, 0.058868683066680715, 0.058870999038890232, 0.058873400638418331, 0.05887588993685413, 0.05887846904083302, 0.058881140087839477, 0.058883905241319402, 0.058886766685010229, 0.058889726616387569, 0.058892787239112253, 0.058895950754349391, 0.058899219350813756, 0.05890259519337742, 0.058906080410056148, 0.058909677077166281, 0.058913387202420259, 0.058917212705696262, 0.058921155397187425, 0.058925216952596116, 0.058929398884997555, 0.058933702512948785, 0.058938128924364876, 0.058942678935622987, 0.058947353045284159, 0.058952151381746185, 0.058957073644050124, 0.058962119034961208, 0.058967286185333603, 0.05897257306863278, 0.058977976904348119, 0.058983494048854404, 0.058989119872095847, 0.058994848618246651, 0.059000673248258445, 0.059006585261928028, 0.059012574496800529, 0.059018628900870507, 0.059024734275638271, 0.05903087398562637, 0.059037028629953525, 0.059043175670997962, 0.059049289014554661, 0.059055338535213782, 0.059061289539954605, 0.059067102162193671, 0.059072730677773196, 0.059078122733692701, 0.059083218479874564, 0.059087949594082985, 0.059092238190559553, 0.059095995604434674, 0.059099121047235435, 0.059101500134948817, 0.059103003300946887, 0.059103484124537524, 0.059102777636740905, 0.059100698715870308, 0.059097040769522172, 0.059091575038233625, 0.059084051086060289, 0.059074199427990096, 0.059061737894713341, 0.059046384451158666, 0.059027881131574242, 0.059006037216634014, 0.058980806081616696, 0.058952421929157624, 0.058921645338039494, 0.058890211939126753, 0.058861672995734499, 0.058843023035816844, 0.058847986920083896, 0.058904019900264303, 0.059068248174384566, 0.059467016692053357, 0.060405618833516472, 0.062722179677329029, 0.069195528044056598, 0.092089766202402806, 0.20497669450406319, 0.32082655007719518, 0.15966688263083484, 0.10992880165327562, 0.092283983726980406, 0.084230201139540412, 0.080012073499656527, 0.077697742994361205, 0.076517710202896688, 0.076153828463322651, 0.076517710202897896, 0.077697742994361468, 0.08001207349965575, 0.084230201139540092, 0.092283983726986665, 0.10992880165325483, 0.15966688263093362, 0.32082655007729194, 0.2049766945040204, 0.092089766202330808, 0.069195528044052809, 0.062722179677327197, 0.060405618833516868, 0.059467016692053419, 0.05906824817438467, 0.058904019900264358, 0.058847986920083833, 0.058843023035816656, 0.058861672995734665, 0.058890211939126892, 0.058921645338039424, 0.058952421929157665, 0.05898080608161671, 0.059006037216634055, 0.059027881131574263, 0.059046384451158618, 0.05906173789471339, 0.059074199427990096, 0.059084051086060269, 0.059091575038233729, 0.059097040769522179, 0.059100698715870315, 0.059102777636740954, 0.059103484124537593, 0.059103003300946866, 0.059101500134948755, 0.059099121047235387, 0.059095995604434688, 0.05909223819055956, 0.059087949594083047, 0.059083218479874605, 0.059078122733692652, 0.059072730677773237, 0.059067102162193685, 0.059061289539954535, 0.059055338535213775, 0.059049289014554668, 0.059043175670997983, 0.059037028629953539, 0.059030873985626391, 0.059024734275638306, 0.05901862890087043, 0.05901257449680046, 0.059006585261928035, 0.059000673248258438, 0.058994848618246616, 0.058989119872095888, 0.058983494048854397, 0.058977976904348063, 0.058972573068632732, 0.058967286185333541, 0.058962119034961215, 0.058957073644050104, 0.058952151381746254, 0.058947353045284159, 0.058942678935623015, 0.058938128924364862, 0.058933702512948757, 0.058929398884997521, 0.058925216952596171, 0.058921155397187425, 0.058917212705696227, 0.058913387202420252, 0.058909677077166323, 0.058906080410056204, 0.058902595193377427, 0.058899219350813742, 0.058895950754349398, 0.058892787239112225, 0.058889726616387569, 0.058886766685010285, 0.058883905241319388, 0.058881140087839443, 0.058878469040832999, 0.058875889936854144, 0.058873400638418345, 0.058870999038890252, 0.058868683066680708, 0.058866450688834032, 0.058864299914077149, 0.058862228795394739, 0.058860235432188032, 0.05885831797206624, 0.058856474612317924, 0.05885470360110024, 0.058853003238383481, 0.058851371876681199, 0.058849807921595672, 0.058848309832201594, 0.058846876121293044, 0.05884550535551069, 0.058844196155368969, 0.058842947195198156, 0.058841757203014398, 0.058840624960331073, 0.058839549301922082, 0.058838529115546559, 0.058837563341643105, 0.05883665097300278, 0.058835791054425081, 0.058834982682364846, 0.058834225004574622, 0.058833517219746979, 0.058832858577160356, 0.058832248376333315, 0.05883168596668948, 0.05883117074723531, 0.058830702166254342, 0.058830279721019514, 0.058829902957524778, 0.058829571470238644, 0.058829284901880038, 0.058829042943218092, 0.058828845332897214, 0.058828691857287077, 0.058828582350359648, 0.058828516693592722, 0.058828494815900495, 0.058828505754335937, 0.0588285385765588, 0.058828593303320999, 0.058828669969214528, 0.058828768622680383, 0.058828889326020942, 0.058829032155414816, 0.058829197200935927, 0.058829384566575542, 0.058829594370267121, 0.058829826743914439, 0.0588300818334224, 0.05883035979873083, 0.058830660813850154, 0.058830985066899981, 0.05883133276014945, 0.058831704110059765, 0.058832099347327541, 0.058832518716930682, 0.058832962478173448, 0.058833430904734162, 0.058833924284711438, 0.058834442920670985, 0.058834987129691693, 0.058835557243410518, 0.058836153608065662, 0.058836776584537197, 0.058837426548385537, 0.058838103889885682, 0.058838809014057171, 0.058839542340689555, 0.058840304304361289, 0.058841095354452297, 0.058841915955148011, 0.058842766585435725, 0.058843647739089518, 0.058844559924645205, 0.058845503665361627, 0.058846479499168894, 0.058847487978600843, 0.058848529670709741, 0.058849605156963428, 0.058850715033120442, 0.058851859909083162, 0.058853040408725708, 0.058854257169694765, 0.058855510843180775, 0.058856802093656631, 0.058858131598581151, 0.058859500048064443, 0.058860908144492061, 0.058862356602103767, 0.058863846146523957, 0.058865377514239522, 0.05886695145202081, 0.058868568716281267, 0.05887023007237157, 0.058871936293801427, 0.058873688161385863, 0.058875486462308668, 0.058877331989097295, 0.058879225538502743, 0.058881167910277282, 0.058883159905843314, 0.058885202326844355, 0.058887295973571473, 0.058889441643254777, 0.058891640128212637, 0.058893892213846666, 0.058896198676474679, 0.058898560280988839, 0.058900977778328589, 0.058903451902756768, 0.058905983368925739, 0.058908572868720997, 0.058911221067868509, 0.058913928602292075, 0.058916696074205376, 0.058919524047924089, 0.058922413045382122, 0.058925363541336456, 0.058928375958243143, 0.058931450660787907, 0.058934587950055628, 0.058937788057318738, 0.058941051137429999, 0.058944377261800442, 0.058947766410946963, 0.058951218466591154, 0.058954733203295875, 0.058958310279621978, 0.058961949228792887, 0.058965649448854261, 0.058969410192316836, 0.058973230555276583, 0.05897710946600241, 0.058981045672993337, 0.05898503773250241, 0.058989083995533979, 0.058993182594325823, 0.058997331428329483, 0.059001528149714128, 0.059005770148421233, 0.059010054536810103, 0.059014378133940039, 0.059018737449547061, 0.059023128667784933, 0.059027547630810161, 0.059031989822306424, 0.059036450351057763, 0.05904092393469676, 0.05904540488376743, 0.05904988708626592, 0.059054363992835111, 0.059058828602815042, 0.05906327345136473, 0.059067690597898417, 0.059072071616094846, 0.059076407585762256, 0.059080689086860046, 0.059084906195997731, 0.059089048485749342, 0.059093105027135946, 0.059097064395641712, 0.059100914681136596, 0.059104643502084581, 0.059108238024411806, 0.059111684985404693, 0.059121002098840546, 0.059128479855375553, 0.059133714791418684, 0.059136302431924859, 0.059135858204816032, 0.059132042216836482, 0.059124586317711177, 0.059113321080153519, 0.059098199723675943, 0.059079315819294174, 0.059056911987782679, 0.059031377780366642, 0.059003236374358017, 0.058973121339825969, 0.058941746172452507, 0.058909870215748082, 0.05887826482926941, 0.058847683207751557, 0.0588188362988563, 0.058792376077127145, 0.058768886280765716, 0.05874887980642441, 0.058732801385148491, 0.058721033941030273, 0.058713907124302717, 0.058711706874980563, 0.058714685534013385, 0.058723073136261704, 0.058737092527514183, 0.058756984840764456, 0.058783059851877685, 0.058815802782296631, 0.058856106818065808, 0.058905787277522881, 0.058968742119840392, 0.059053656620391297, 0.059180615477737154, 0.059398408499387385, 0.059834381695333311, 0.060858982346029059, 0.063749354388675322, 0.07435792700868131, 0.13797467111637279, 0.55389903039666932, 0.20462338784092965, 0.12412998070449818, 0.10254361412262719, 0.094123459728597453, 0.090320075039297981, 0.088588683433805465, 0.087918213373807286, 0.087811774803149764, 0.087978499578231353, 0.088223654187968542, 0.088406861433755049, 0.088427044083231834, 0.088217898655211291, 0.087746266336182391, 0.087009571468937688, 0.08603086082551005, 0.08485165454374817, 0.08352380937162257, 0.082101850095439452, 0.080636898231864484, 0.07917272459636715, 0.077743875596486642, 0.076375449120378108, 0.075083957686020775, 0.073878754302832625, 0.072763623351784434, 0.071738283857359572, 0.070799675378439397, 0.069942983240906517, 0.069162411704835197, 0.068451739239342627, 0.067804698562681037, 0.067215222964377638, 0.066677594793140824, 0.066186524968432317, 0.065737185595365455, 0.065325211950437848, 0.064946685456408443, 0.064598105715246601, 0.064276357049471822, 0.063978673121746141, 0.063702601882909202, 0.063445972191985125, 0.063206862842116962, 0.062983574326314407, 0.062774603422093844, 0.062578620518340539, 0.062394449518357674, 0.062221050107380362, 0.062057502155122297, 0.06190299202362555, 0.061756800560659533, 0.061618292574496011, 0.061486907604064472, 0.061362151817358761, 0.061243590889388522, 0.061130843728312165, 0.061023576934316474, 0.060921499890224232, 0.060824360395712471, 0.060731940768509386, 0.060644054346108776, 0.060560542330564002, 0.060481270926914375, 0.060406128732902346, 0.060335024343979277, 0.060267884143282185, 0.060204650251365524, 0.060145278615091849, 0.060089737219258671, 0.060038004408316463, 0.059990067308942116, 0.059945920347291681, 0.059905563857462943, 0.059869002780073094, 0.059836245451856292, 0.059807302488846061, 0.059782185766984186, 0.059760907504906029, 0.059743479454193428, 0.059729912202550681, 0.059720214595200806, 0.059714393279306714, 0.059712452375460447, 0.059713746300889915, 0.059717627017266697, 0.059724091360150652, 0.059733134106275274, 0.059744748049137708, 0.059758924103603853, 0.05977565143832822, 0.059794917634457864, 0.059816708868782958, 0.059841010119201274, 0.059867805390077328, 0.059897077954813138, 0.059928810612686283, 0.059962985956758988, 0.05999958664941199, 0.060038595701792402, 0.060079996753200027, 0.060123774346122191, 0.060169914192294185, 0.060218403424763201, 0.060269230830462199, 0.06032238705724903, 0.060377864788689388, 0.060435658879069834, 0.060495766440164578, 0.060558186870139315, 0.060622921813633504, 0.06068997504047894, 0.060759352228674339, 0.060831060635122593, 0.06090510863522506, 0.060981505109724048, 0.061060258654194122, 0.061141376583330992, 0.061224863698763406, 0.061310720785597461, 0.061398942799480605, 0.061489516702892905, 0.061582418906967057, 0.061677612273898466, 0.061775042635552578, 0.061874634787029058, 0.061976287920734466, 0.062079870478207524, 0.062185214415032865, 0.062292108900375745, 0.06240029350879172, 0.062509451009841052, 0.062619199922206534, 0.062729087074422041, 0.062838580503792041, 0.062947063126666911, 0.063053827722494321, 0.063158073883181329, 0.063258907676463111, 0.063355344840912722, 0.063446318350503628, 0.063530691134848175, 0.063607274593634591, 0.06367485328036307, 0.063732215740589931, 0.063778190978630356, 0.063811689420857451, 0.063831746595680305, 0.063837567137095513, 0.063828566235480777, 0.063804405405374159, 0.063765019499648329, 0.063710632320704924, 0.06364175895587694, 0.063559194027381041, 0.06346398627084901, 0.06335740107726423, 0.063240873680672896, 0.063115956405010554, 0.06298426370954259, 0.06284741867556938, 0.062707004107535408, 0.062564520682071856, 0.06242135369818623, 0.062278749089965876, 0.062137798566765226, 0.061999433116463366, 0.061864423677984552, 0.061733387558666031, 0.061606799114383069, 0.061485003285825485, 0.061368230749083867, 0.061256613651965837, 0.06115020113586709, 0.061048974062305833, 0.060952858558015015, 0.060861738154952896, 0.060775464429594243, 0.060693866141105682, 0.060616756934446098, 0.060543941717019212, 0.060475221841341686, 0.060410399236028672, 0.060349279627292932, 0.060291674986448579, 0.060237405328181913, 0.06018629997152989, 0.060138198361961562, 0.060092950539614109, 0.060050417326182395, 0.060010470291526771, 0.059972991550906594, 0.059937873434898294, 0.059905018066469112, 0.059874336873259833, 0.059845750057762187, 0.059819186043634676, 0.059794580912758646, 0.059771877844670938, 0.059751026567619603, 0.059731982828569875, 0.059714707887959892, 0.059699168043795402, 0.059685334188715286, 0.059673181402906714, 0.059662688585157692, 0.059653838123860971, 0.059646615609417961, 0.05964100958918387, 0.059637011365851665, 0.059634614839969013, 0.059633816397097208], [0.060332752534031496, 0.060334528783589456, 0.060339858878366424, 0.060348746934050068, 0.060361200068952306, 0.060377228795482241, 0.060396847574855431, 0.060420075542184377, 0.060446937411845196, 0.060477464576367337, 0.060511696416220721, 0.06054968184298877, 0.060591481104831507, 0.060637167891206163, 0.060686831783994137, 0.060740581115106801, 0.060798546307136693, 0.060860883794776582, 0.060927780652045758, 0.060999460085908071, 0.061076188003436678, 0.061158280921269119, 0.061246115568226581, 0.06134014064263385, 0.061440891336469385, 0.061549007445729324, 0.061665256175005623, 0.061790561151279767, 0.061926039743765683, 0.062073051630607501, 0.062233262796971903, 0.062408731013695234, 0.062602021693881113, 0.062816367465815579, 0.063055891883068482, 0.063325929273857218, 0.063633492203570938, 0.063987971799763288, 0.064402216872920415, 0.064894251249393714, 0.065490110937185597, 0.066228741684612832, 0.067170906812342723, 0.068416447931953991, 0.070140456639444418, 0.072677014559484734, 0.076740233223851345, 0.084123747777213112, 0.10059723689854552, 0.1544920929812531, 0.47570094674084845, 0.17366992013095622, 0.075595400870709137, 0.061840295763279873, 0.058609885980192539, 0.057765550063404114, 0.057642444080985789, 0.057768513674823455, 0.057982263817295002, 0.058221913660516308, 0.058462375443340764, 0.058693330095815829, 0.058910731358611461, 0.059113247623143947, 0.059300689173297005, 0.059473291227438996, 0.059631387044607465, 0.059775267391298417, 0.059905132915522019, 0.060021094687705591, 0.060123200400121972, 0.060211473979457308, 0.060285961037107254, 0.060346774643293008, 0.060394136863171535, 0.060428412136591704, 0.060450129343874323, 0.060459990458603979, 0.060458865039477984, 0.060447771312086632, 0.060427846012993232, 0.060400306277613523, 0.060366407473101208, 0.060327400935130275, 0.060284495107245893, 0.060238822742214711, 0.060191415795286252, 0.060143188607933377, 0.060094929096019378, 0.060047297006477589, 0.060000827918098881, 0.059955941512961179, 0.059912952684110156, 0.05987208421025509, 0.059833479960669511, 0.059797217845826089, 0.059763321968531111, 0.059731773637074916, 0.059702521067805311, 0.059675487728883668, 0.059650579363796599, 0.059627689788754525, 0.059606705589279815, 0.05958750985454353, 0.059569985088886647, 0.059554015432870894, 0.059539488314516914, 0.059526295637478972, 0.05951433459843946, 0.05950350821200779, 0.059493725608504244, 0.059484902158499102, 0.059476959467967438, 0.059469825279386275, 0.059463433306934696, 0.059457723028028632, 0.059452639448567587, 0.059448132855337121, 0.05944415856585946, 0.059440676683478084, 0.059437651863490273, 0.059435053094605075, 0.059432853498822345, 0.059431030151925184, 0.059429563926106169, 0.059428439355749998, 0.059427644527038116, 0.059427170991792545, 0.059427013705805373, 0.059427036926514881, 0.059427106613894623, 0.059427222843715106, 0.05942738574231534, 0.059427595486686052, 0.05942785230458459, 0.059428156474683115, 0.059428508326748099, 0.059428908241851298, 0.059429356652611773, 0.059429854043467262, 0.05943040095097455, 0.05943099796413797, 0.059431645724762713, 0.05943234492783505, 0.059433096321923139, 0.059433900709600189, 0.059434758947884782, 0.059435671948697373, 0.059436640679328787, 0.05943766616291643, 0.05943874947892662, 0.059439891763634789, 0.059441094210600676, 0.059442358071131338, 0.05944368465472516, 0.059445075329488825, 0.059446531522518081, 0.059448054720232998, 0.059449646468654742, 0.059451308373612267, 0.05945304210086319, 0.059454849376112867, 0.059456731984912664, 0.059458691772415972, 0.059460730642968952, 0.059462850559508527, 0.059465053542737449, 0.059467341670042098, 0.059469717074115615, 0.059472181941242264, 0.059474738509194235, 0.05947738906468715, 0.059480135940331913, 0.059482981511013645, 0.059485928189620361, 0.059488978422032782, 0.059492134681277502, 0.059495399460731409, 0.059498775266253343, 0.059502264607102076, 0.059505869985481782, 0.059509593884537637, 0.059513438754599718, 0.059517406997450867, 0.059521500948362262, 0.059525722855611696, 0.059530074857160067, 0.05953455895412272, 0.059539176980624796, 0.059543930569578025, 0.059548821113856586, 0.059553849722281831, 0.059559017169752121, 0.05956432384076607, 0.059569769665489943, 0.05957535404741298, 0.059581075781504442, 0.059586932961650713, 0.059592922875984847, 0.059599041888543813, 0.059605285305480392, 0.059611647223823123, 0.05961812036051712, 0.059624695859174459, 0.059631363071631145, 0.05963810931102366, 0.059644919572672594, 0.059651776218582177, 0.059658658620833471, 0.059665542758559897, 0.059672400762556498, 0.059679200400887131, 0.059685904498139299, 0.059692470280262526, 0.059698848636266483, 0.059704983287537865, 0.059710809855305642, 0.05971625481707727, 0.059721234344053659, 0.059725653014215008, 0.059729402400884299, 0.05973235954566114, 0.059734385340087223, 0.059735322866204442, 0.059734995788681362, 0.059733206960936189, 0.059729737522131288, 0.059724346950485938, 0.059716774851286833, 0.059706745782584003, 0.059693979312311685, 0.059678209036614582, 0.059659216986746678, 0.059636894691098945, 0.059611351055820147, 0.059583104054193682, 0.059553426095686181, 0.059524979671020883, 0.059503021359128237, 0.059497768160710618, 0.059529269648803729, 0.059638042718310622, 0.059910064222041502, 0.060541353687138776, 0.062027064121260515, 0.065817503897349958, 0.077204922372664034, 0.12268105798563841, 0.3176442974275252, 0.24738435351309407, 0.1391058232733709, 0.10565584978036258, 0.092218191663001589, 0.085708152747090469, 0.082300161575447367, 0.080608663479751014, 0.080093462557509515, 0.080608663479752485, 0.082300161575447756, 0.08570815274708915, 0.09221819166300084, 0.10565584978037329, 0.13910582327332977, 0.24738435351330748, 0.31764429742742206, 0.12268105798561686, 0.077204922372631879, 0.065817503897347751, 0.062027064121259239, 0.060541353687139039, 0.059910064222041551, 0.059638042718310712, 0.059529269648803791, 0.059497768160710569, 0.059503021359128043, 0.059524979671021064, 0.05955342609568632, 0.059583104054193613, 0.059611351055820209, 0.059636894691098959, 0.059659216986746727, 0.059678209036614603, 0.059693979312311643, 0.059706745782584052, 0.059716774851286826, 0.059724346950485896, 0.059729737522131399, 0.059733206960936196, 0.059734995788681397, 0.059735322866204477, 0.0597343853400873, 0.05973235954566114, 0.059729402400884216, 0.05972565301421498, 0.059721234344053672, 0.059716254817077263, 0.059710809855305719, 0.059704983287537886, 0.059698848636266441, 0.059692470280262575, 0.059685904498139326, 0.059679200400887061, 0.059672400762556484, 0.05966554275855989, 0.059658658620833499, 0.059651776218582163, 0.059644919572672601, 0.059638109311023667, 0.059631363071631048, 0.059624695859174411, 0.059618120360517113, 0.059611647223823117, 0.059605285305480343, 0.059599041888543855, 0.059592922875984833, 0.059586932961650643, 0.059581075781504379, 0.059575354047412918, 0.059569769665489936, 0.059564323840766042, 0.059559017169752183, 0.059553849722281831, 0.05954882111385662, 0.059543930569578039, 0.059539176980624747, 0.059534558954122657, 0.059530074857160123, 0.059525722855611682, 0.05952150094836222, 0.059517406997450846, 0.059513438754599773, 0.059509593884537693, 0.059505869985481789, 0.059502264607102055, 0.059498775266253336, 0.059495399460731353, 0.059492134681277509, 0.059488978422032837, 0.059485928189620348, 0.059482981511013625, 0.059480135940331892, 0.059477389064687171, 0.059474738509194235, 0.059472181941242278, 0.059469717074115594, 0.059467341670042029, 0.059465053542737442, 0.059462850559508534, 0.059460730642968952, 0.059458691772415924, 0.059456731984912664, 0.059454849376112909, 0.059453042100863204, 0.059451308373612212, 0.059449646468654735, 0.059448054720232929, 0.059446531522518081, 0.059445075329488853, 0.059443684654725187, 0.059442358071131296, 0.059441094210600655, 0.059439891763634761, 0.059438749478926599, 0.059437666162916479, 0.059436640679328738, 0.059435671948697429, 0.059434758947884823, 0.05943390070960021, 0.059433096321923132, 0.059432344927835064, 0.059431645724762797, 0.059430997964137942, 0.059430400950974613, 0.059429854043467262, 0.059429356652611752, 0.059428908241851305, 0.059428508326748071, 0.059428156474683122, 0.059427852304584604, 0.059427595486686011, 0.059427385742315361, 0.059427222843715127, 0.059427106613894679, 0.059427036926514888, 0.059427013705805311, 0.059427025315703513, 0.059427060152543849, 0.059427118237765628, 0.059427199607106691, 0.059427304310612383, 0.059427432412648119, 0.059427583991914404, 0.059427759141466266, 0.059427957968735616, 0.059428180595556296, 0.059428427158192756, 0.059428697807371041, 0.059428992708313338, 0.059429312040773702, 0.059429655999077374, 0.059430024792161473, 0.059430418643617824, 0.059430837791737003, 0.059431282489554205, 0.059431753004894894, 0.059432249620422664, 0.059432772633685751, 0.059433322357163726, 0.059433899118313746, 0.059434503259615266, 0.059435135138612885, 0.059435795127956464, 0.059436483615439226, 0.059437201004030757, 0.059437947711906206, 0.059438724172470224, 0.059439530834374338, 0.059440368161527389, 0.059441236633097423, 0.059442136743505174, 0.059443069002405979, 0.059444033934660988, 0.059445032080294363, 0.059446063994436908, 0.059447130247253073, 0.059448231423849841, 0.059449368124167151, 0.059450540962845529, 0.059451750569071142, 0.059452997586394295, 0.059454282672520259, 0.059455606499069336, 0.059456969751303192, 0.059458373127814927, 0.059459817340179688, 0.059461303112562647, 0.059462831181280318, 0.05946440229431179, 0.059466017210755742, 0.059467676700228997, 0.059469381542201605, 0.059471132525264578, 0.059472930446323069, 0.059474776109711976, 0.059476670326226, 0.059478613912058817, 0.059480607687644724, 0.059482652476394893, 0.059484749103322104, 0.05948689839354436, 0.059489101170660676, 0.059491358254988386, 0.059493670461654526, 0.059496038598529428, 0.059498463463993866, 0.059500945844527614, 0.059503486512108322, 0.059506086221408884, 0.059508745706780476, 0.059511465679008085, 0.05951424682182456, 0.059517089788169969, 0.059519995196179898, 0.059522963624888792, 0.059525995609631732, 0.059529091637129078, 0.059532252140236955, 0.059535477492346417, 0.059538768001415721, 0.059542123903616191, 0.059545545356576711, 0.05954903243220791, 0.059552585109090908, 0.059556203264412348, 0.059559886665432514, 0.059563634960469257, 0.059567447669386445, 0.059571324173573977, 0.059575263705408957, 0.05957926533719235, 0.05958332796955286, 0.059587450319320549, 0.059591630906869066, 0.059595868042934687, 0.059600159814924336, 0.05960450407272895, 0.059608898414068565, 0.05961334016939869, 0.05961782638642088, 0.059622353814244945, 0.059626918887264291, 0.059631517708816709, 0.059636146034713393, 0.059640799256734996, 0.059645472386207918, 0.05965016003779014, 0.059654856413610513, 0.059659555287928323, 0.059664249992493541, 0.059668933402812804, 0.059673597925541631, 0.059678235487248869, 0.059682837524816297, 0.059687394977758663, 0.059691898282769135, 0.059696337370812369, 0.059700701667106393, 0.05970498009434641, 0.059709161079537873, 0.059713232564810578, 0.059717182022592588, 0.059720996475515889, 0.059724662521420724, 0.059734630503739464, 0.059742747123947497, 0.059748606527248338, 0.059751803014192618, 0.059751952284560261, 0.059748716510657544, 0.059741831646615104, 0.059731134592151305, 0.059716587245247969, 0.05969829430320571, 0.05967651205819418, 0.059651646411879033, 0.059624239769860601, 0.059594948086281657, 0.059564510753773003, 0.059533716953924884, 0.059503372319143065, 0.059474269317298163, 0.05944716383199606, 0.059422759240862551, 0.059401698159395416, 0.059384561116582191, 0.059371870859874498, 0.059364100762490407, 0.05936168588515961, 0.059365035583605182, 0.059374547158553906, 0.059390621041360094, 0.059413679753216472, 0.05944419619846656, 0.05948274358937955, 0.059530093559139539, 0.059587420284337056, 0.059656739559795453, 0.059741880809480868, 0.059850714244267043, 0.060000495207097188, 0.060231526688640388, 0.060645271155084432, 0.061524467398222579, 0.063784734520253974, 0.071198678204679053, 0.10756485119270326, 0.42747026126718562, 0.28722784247789451, 0.14518276957743642, 0.11281896701594185, 0.101283404543414, 0.096358234761793685, 0.094238508767035947, 0.093508651110654761, 0.093500295619307477, 0.093829242073183966, 0.094238447632396236, 0.09454137914111034, 0.094603546054396012, 0.09433846127211086, 0.093706785258011849, 0.092713009050113718, 0.091397732939650728, 0.089826317996603428, 0.088076217320924771, 0.0862255090085223, 0.084344384993575702, 0.082490211626933749, 0.080705813055971909, 0.079020099412270922, 0.077450056388008059, 0.076003276128249656, 0.074680473520127383, 0.073477682893855562, 0.072388016905102354, 0.071402984969677882, 0.070513427168286999, 0.069710140245091076, 0.068984271684559714, 0.06832754734197298, 0.067732384593424524, 0.067191930007586054, 0.066700049603984471, 0.066251291198997322, 0.06584083196237879, 0.065464419727529199, 0.065118313405772052, 0.064799225685102421, 0.064504269755416441, 0.064230910873654429, 0.063976923001833733, 0.063740350403542284, 0.063519473890068942, 0.063312781311194263, 0.063118941850857591, 0.062936783690045045, 0.062765274622296474, 0.062603505241044605, 0.062450674356169106, 0.062306076335822691, 0.06216909010657317, 0.06203916957902713, 0.061915835296867151, 0.061798667134552461, 0.061687297892917256, 0.061581407662825396, 0.061480718845203911, 0.061384991731525881, 0.061294020562438739, 0.061207629994069444, 0.061125671911819793, 0.061048022540444002, 0.06097457980707903, 0.06090526092084958, 0.060840000138820773, 0.060778746693562688, 0.060721462862494385, 0.060668122163562398, 0.060618707665733955, 0.06057321040628022, 0.060531627909898605, 0.060493962807410914, 0.06046022155403423, 0.060430413249103372, 0.060404548560580168, 0.060382638758742488, 0.060364694864104049, 0.060350726914870839, 0.060340743359147686, 0.060334750576661211, 0.060332752534031496, 0.06033408454991189, 0.060338079546092181, 0.060344734384243308, 0.060354043887142106, 0.060366000918035491, 0.060380596490501828, 0.060397819907584263, 0.060417658928631525, 0.060440099961971319, 0.060465128281238921, 0.060492728262894514, 0.060522883642193097, 0.060555577784607385, 0.0605907939694477, 0.060628515682169398, 0.060668726911588845, 0.060711412447957872, 0.060756558177524289, 0.060804151368860256, 0.060854180945824982, 0.060906637741534986, 0.060961514727132252, 0.061018807208424695, 0.061078512982628452, 0.061140632446409847, 0.061205168645198656, 0.061272127252291961, 0.061341516464546907, 0.061413346799451991, 0.061487630776044286, 0.061564382459471531, 0.061643616845987535, 0.061725349061809508, 0.061809593345578576, 0.061896361780231869, 0.061985662735991168, 0.062077498982087177, 0.062171865421021294, 0.06226874639596746, 0.062368112519855023, 0.06246991697441473, 0.062574091229910506, 0.062680540142553504, 0.062789136398113038, 0.062899714288694106, 0.063012062837005389, 0.063125918320823662, 0.063240956301975099, 0.063356783330938041, 0.06347292858148669, 0.063588835769800359, 0.06370385582739381, 0.063817240922523916, 0.063928140552004978, 0.064035600541575116, 0.064138565879769904, 0.064235888344239336, 0.064326339833306961, 0.064408632161075299, 0.064481443787041584, 0.064543453516838115, 0.064593380633190103, 0.064630030224621576, 0.064652341733157093, 0.064659438030373592, 0.064650671764845902, 0.064625665420444636, 0.064584341584165345, 0.064526940401637159, 0.064454022091438398, 0.064366453614783534, 0.064265380006092679, 0.064152182269745603, 0.06402842493935601, 0.063895797212274244, 0.063756051914601944, 0.063610946405184776, 0.063462188955631937, 0.063311393271827221, 0.063160042803768301, 0.063009465474595128, 0.062860818567315735, 0.062715082816918677, 0.062573064298701547, 0.062435402474100996, 0.062302582719240565, 0.062174951770616216, 0.062052734725531473, 0.061936052485715321, 0.061824938794054096, 0.061719356260472889, 0.061619210987886697, 0.061524365585448257, 0.061434650492856825, 0.061349873639110077, 0.061269828526856251, 0.061194300875372698, 0.061123073977055513, 0.061055932929504682, 0.060992667902307132, 0.060933076588083265, 0.060876965974011765, 0.060824153554903948, 0.060774468093363301, 0.060727750017558299, 0.060683851533226529, 0.060642636514004845, 0.060603980223163614, 0.060567768910312611, 0.060533899318549397, 0.060502278130726728, 0.060472821377869183, 0.060445453828128347, 0.060420108370886773, 0.060396725407562871, 0.060375252258222836, 0.060355642591152343, 0.060337855881002878, 0.060321856899912527, 0.060307615245054402, 0.060295104905324373, 0.06028430386930566, 0.06027519377619224, 0.060267759611005244, 0.06026198944514799, 0.060257874223118686, 0.060255407596011709, 0.060254585802269986], [0.060961425173620638, 0.060963253939977619, 0.060968741705970775, 0.060977892953867623, 0.060990715426768628, 0.061007220541096016, 0.061027423971309218, 0.061051346414614648, 0.061079014546427585, 0.061110462180983538, 0.061145731655980348, 0.06118487546569102, 0.061227958173964758, 0.061275058647312669, 0.061326272659373189, 0.061381715932162156, 0.061441527697551249, 0.061505874885597091, 0.061574957076340101, 0.061649012390804336, 0.061728324548304722, 0.061813231385279208, 0.061904135221945829, 0.06200151558616452, 0.062105944971895949, 0.062218108541647894, 0.062338829006517577, 0.062469098376393827, 0.062610118931678574, 0.062763356727745509, 0.062930612364685001, 0.06311411589695208, 0.063316656048383949, 0.063541759061576025, 0.063793940802939431, 0.064079069409474373, 0.064404898937450425, 0.064781875063062863, 0.065224387620502686, 0.065752784401647973, 0.066396738071518982, 0.067201140904245005, 0.068237010072647639, 0.069623063831580054, 0.071572136437881212, 0.074502343931252657, 0.079344313623246621, 0.088579731541850421, 0.11100930127452314, 0.19809965477125122, 0.54741154217708021, 0.12210495727516697, 0.070030066562564844, 0.061080551934289677, 0.058829069782017997, 0.058265874174686851, 0.058240284259636586, 0.05840408012600528, 0.05863337360819329, 0.058879677753347723, 0.059123111756480322, 0.059355536983012699, 0.05957385221420982, 0.05977713280411328, 0.059965349997384731, 0.060138783482926263, 0.060297754620021002, 0.060442514981716232, 0.060573213469359788, 0.060689904873345392, 0.060792580949884545, 0.060881213455826075, 0.060955802319208933, 0.061016423700269593, 0.061063273394861659, 0.061096701554050829, 0.061117235421974961, 0.061125587884889858, 0.061122651051312454, 0.061109475678855461, 0.061087238778559726, 0.061057202905937975, 0.061020671298564116, 0.060978943066622701, 0.060933272135897928, 0.060884832734522887, 0.060834693110013216, 0.060783798064046643, 0.060732959956862634, 0.060682857152711961, 0.060634038478002604, 0.060586932118613629, 0.060541857435688705, 0.060499038362964566, 0.060458617300542764, 0.06042066868998703, 0.060385211709327785, 0.060352221744180631, 0.060321640464567367, 0.060293384466024905, 0.060267352522846949, 0.060243431557735247, 0.060221501463147066, 0.060201438922100135, 0.060183120375979011, 0.060166424278591861, 0.060151232762860912, 0.060137432831537982, 0.060124917167920913, 0.060113584647742697, 0.060103340619833502, 0.060094097011104082, 0.060085772300959787, 0.060078291401379408, 0.060071585471469062, 0.060065591689168349, 0.060060252997784808, 0.060055517840984868, 0.060051339896638703, 0.060047677817350827, 0.060044494983497121, 0.060041759273025574, 0.060039442851079754, 0.060037521981592526, 0.060035976862321407, 0.060034791484300881, 0.060033953516332984, 0.0600334542148954, 0.060033288359682531, 0.060033312970548876, 0.060033386830015828, 0.060033510018706569, 0.060033682671057388, 0.060033904975414644, 0.060034177174169631, 0.060034499563931989, 0.060034872495740542, 0.060035296375311416, 0.060035771663323176, 0.060036298875737588, 0.060036878584155719, 0.060037511416208444, 0.060038198055978854, 0.06003893924445812, 0.060039735780029475, 0.060040588518981607, 0.0600414983760474, 0.060042466324966598, 0.060043493399068976, 0.060044580691874294, 0.060045729357707169, 0.060046940612319924, 0.060048215733520427, 0.060049556061798577, 0.060050963000944993, 0.060052438018654682, 0.06005398264710711, 0.060055598483514203, 0.060057287190623768, 0.060059050497168032, 0.06006089019824231, 0.060062808155598557, 0.060064806297836393, 0.060066886620470772, 0.06006905118585508, 0.060071302122932976, 0.060073641626790929, 0.060076071957978122, 0.060078595441558538, 0.060081214465852614, 0.06008393148082232, 0.060086748996047636, 0.060089669578234764, 0.060092695848189756, 0.060095830477182803, 0.060099076182618026, 0.060102435722914765, 0.060105911891491851, 0.060109507509735455, 0.060113225418814482, 0.060117068470189751, 0.060121039514645938, 0.060125141389650687, 0.060129376904824269, 0.060133748825271616, 0.060138259852500979, 0.060142912602615457, 0.060147709581425256, 0.060152653156083757, 0.060157745522799275, 0.060162988670117566, 0.060168384337204749, 0.060173933966488007, 0.060179638649929271, 0.060185499068110604, 0.060191515421209783, 0.060197687350817937, 0.060204013851422822, 0.060210493170222028, 0.060217122693761886, 0.060223898819698717, 0.060230816811758237, 0.060237870635720593, 0.060245052773971068, 0.06025235401584346, 0.060259763220620134, 0.060267267049653232, 0.060274849663621337, 0.060282492380438597, 0.060290173288780752, 0.060297866811598086, 0.060305543213340522, 0.060313168043952953, 0.060320701512025732, 0.060328097778859238, 0.060335304164692585, 0.060342260258088434, 0.060348896919648509, 0.060355135172185922, 0.060360884971707718, 0.060366043857855343, 0.060370495490110428, 0.060374108089110173, 0.060376732824119081, 0.06037820222333351, 0.060378328741880517, 0.060376903717291548, 0.060373697097586575, 0.060368458582953977, 0.060360921247223955, 0.060350809420301056, 0.060337853832125872, 0.060321819133808609, 0.060302552652843976, 0.060280070008888562, 0.060254705789258116, 0.060227381544894494, 0.060200091036539595, 0.060176800954866418, 0.060165177693372533, 0.060180035349773758, 0.060250580300057373, 0.060436635923419753, 0.060868041090225686, 0.061850860746480919, 0.064196252282635508, 0.070450900345024048, 0.090869904904552171, 0.18032786904856923, 0.36207509573058366, 0.20041614967329943, 0.12943701647621339, 0.10478118110693004, 0.093999926172730133, 0.088692579893320952, 0.086148472797436829, 0.08538573547572785, 0.086148472797439243, 0.088692579893320952, 0.093999926172728371, 0.10478118110692768, 0.12943701647623654, 0.20041614967321156, 0.36207509573066832, 0.18032786904848355, 0.090869904904543053, 0.070450900345007658, 0.064196252282634106, 0.06185086074648008, 0.060868041090225825, 0.060436635923419794, 0.060250580300057456, 0.060180035349773828, 0.060165177693372471, 0.06017680095486623, 0.060200091036539768, 0.06022738154489464, 0.06025470578925806, 0.060280070008888617, 0.060302552652843948, 0.060321819133808657, 0.060337853832125907, 0.060350809420301015, 0.06036092124722401, 0.060368458582953984, 0.060373697097586554, 0.060376903717291666, 0.060378328741880545, 0.06037820222333351, 0.060376732824119109, 0.060374108089110243, 0.060370495490110414, 0.060366043857855274, 0.06036088497170769, 0.060355135172185943, 0.060348896919648509, 0.060342260258088504, 0.06033530416469262, 0.060328097778859169, 0.060320701512025794, 0.060313168043952967, 0.06030554321334046, 0.060297866811598072, 0.06029017328878078, 0.060282492380438604, 0.06027484966362133, 0.060267267049653246, 0.060259763220620176, 0.060252354015843383, 0.06024505277397102, 0.060237870635720607, 0.06023081681175823, 0.060223898819698654, 0.060217122693761928, 0.060210493170222028, 0.060204013851422752, 0.060197687350817888, 0.060191515421209714, 0.060185499068110618, 0.06017963864992925, 0.06017393396648809, 0.060168384337204756, 0.060162988670117601, 0.060157745522799261, 0.060152653156083744, 0.060147709581425214, 0.060142912602615506, 0.060138259852500979, 0.060133748825271574, 0.060129376904824276, 0.060125141389650749, 0.060121039514646007, 0.060117068470189772, 0.060113225418814462, 0.060109507509735455, 0.060105911891491795, 0.060102435722914786, 0.060099076182618089, 0.060095830477182775, 0.060092695848189721, 0.06008966957823475, 0.060086748996047656, 0.06008393148082234, 0.060081214465852621, 0.060078595441558517, 0.060076071957978081, 0.060073641626790929, 0.060071302122932969, 0.060069051185855073, 0.06006688662047073, 0.0600648062978364, 0.060062808155598606, 0.060060890198242324, 0.060059050497167969, 0.06005728719062374, 0.060055598483514112, 0.06005398264710711, 0.060052438018654689, 0.060050963000945007, 0.060049556061798536, 0.060048215733520406, 0.060046940612319868, 0.060045729357707141, 0.060044580691874343, 0.060043493399068962, 0.060042466324966647, 0.060041498376047449, 0.06004058851898162, 0.060039735780029455, 0.060038939244458148, 0.060038198055978938, 0.060037511416208417, 0.06003687858415576, 0.060036298875737588, 0.060035771663323169, 0.060035296375311416, 0.060034872495740514, 0.060034499563931969, 0.060034177174169645, 0.060033904975414616, 0.060033682671057409, 0.060033510018706604, 0.060033386830015863, 0.06003331297054889, 0.060033288359682441, 0.060033300664611433, 0.060033337586780443, 0.060033399148337829, 0.060033485386203234, 0.060033596352076828, 0.060033732112451783, 0.060033892748629851, 0.06003407835674085, 0.060034289047765393, 0.060034524947560355, 0.060034786196887929, 0.060035072951446944, 0.060035385381907946, 0.060035723673949326, 0.060036088028297185, 0.060036478660766335, 0.060036895802303737, 0.060037339699032771, 0.060037810612299722, 0.060038308818719639, 0.060038834610224447, 0.060039388294109652, 0.060039970193081327, 0.060040580645302197, 0.060041220004436166, 0.060041888639691107, 0.060042586935858379, 0.060043315293350316, 0.060044074128232483, 0.06004486387225165, 0.060045684972858379, 0.060046537893222993, 0.060047423112243578, 0.060048341124545962, 0.060049292440474168, 0.060050277586069206, 0.060051297103036617, 0.060052351548699562, 0.060053441495937457, 0.060054567533107797, 0.060055730263948871, 0.060056930307463424, 0.060058168297778637, 0.060059444883982953, 0.060060760729934944, 0.060062116514044056, 0.060063512929019111, 0.060064950681582248, 0.060066430492145217, 0.060067953094444793, 0.060069519235134622, 0.060071129673328255, 0.060072785180091126, 0.060074486537876198, 0.060076234539899548, 0.060078029989450464, 0.060079873699132147, 0.060081766490025765, 0.060083709190774562, 0.060085702636579981, 0.060087747668104416, 0.060089845130273392, 0.060091995870969944, 0.060094200739614058, 0.060096460585617982, 0.060098776256710167, 0.060101148597117425, 0.060103578445597231, 0.060106066633308398, 0.060108613981511481, 0.060111221299085922, 0.060113889379853326, 0.060116618999694817, 0.06011941091344894, 0.060122265851577268, 0.060125184516583594, 0.060128167579172928, 0.060131215674134202, 0.060134329395932495, 0.060137509293994043, 0.060140755867668476, 0.060144069560851054, 0.06014745075624791, 0.060150899769268518, 0.060154416841526059, 0.060158002133930848, 0.060161655719357776, 0.060165377574873197, 0.060169167573502949, 0.060173025475528767, 0.060176950919296437, 0.060180943411524426, 0.060185002317101124, 0.060189126848360787, 0.060193316053833518, 0.060197568806461585, 0.060201883791286326, 0.060206259492605413, 0.060210694180609856, 0.060215185897515303, 0.060219732443204894, 0.060224331360412657, 0.060228979919478884, 0.060233675102722727, 0.060238413588482441, 0.060243191734886951, 0.060248005563434431, 0.060252850742463941, 0.060257722570621911, 0.060262615960440725, 0.060267525422161877, 0.060272445047952081, 0.060277368496682575, 0.060282288979456165, 0.060287199246091286, 0.060292091572787476, 0.060296957751221882, 0.060301789079343783, 0.06030657635415583, 0.060311309866789849, 0.060315979400202384, 0.060320574229833474, 0.060325083127582932, 0.060329494369472839, 0.060333795747367601, 0.060337974585129982, 0.060342017759582728, 0.060345911726640167, 0.060356557334651423, 0.060365339902733531, 0.060371851141054429, 0.060375684108044017, 0.060376454797881014, 0.060373827528949549, 0.060367542519417144, 0.060357443258554286, 0.060343500713323714, 0.060325831250213388, 0.060304705550032527, 0.060280546774770141, 0.06025391767562864, 0.060225497928728319, 0.060196054397240864, 0.060166407931985369, 0.060137400561013868, 0.060109866491592202, 0.060084609427843778, 0.060062387556596784, 0.060043906435951935, 0.060029819131461798, 0.060020732382571718, 0.060017217358769519, 0.060019823639579445, 0.060029095376311618, 0.060045589158958905, 0.060069894012609822, 0.060102655476258725, 0.060144608560430204, 0.060196630062151889, 0.060259832625638457, 0.060335748828126659, 0.060426711906922038, 0.060536676729364906, 0.060673062983799077, 0.060851092946448901, 0.061104633365041183, 0.061515555862514365, 0.062302477985406446, 0.064134164195463542, 0.069525538442511664, 0.091866142608413817, 0.2584646860888351, 0.43171703136205319, 0.17911613125641368, 0.12743706338937671, 0.11090928456487817, 0.10429526055580569, 0.10162132669221732, 0.10082833294942189, 0.10098775593165991, 0.10157620819569035, 0.10224286961754853, 0.10273050856987984, 0.10285310776323761, 0.10249389319111828, 0.10160641112712217, 0.10020990733473932, 0.098376437855619336, 0.09621183153672494, 0.093835072173016842, 0.091360609454194566, 0.088886329480385343, 0.086487709153853315, 0.084217052743772502, 0.082106017204820372, 0.080169701401072102, 0.078411030778919158, 0.076824695318097103, 0.075400322050143326, 0.074124835730970937, 0.072984102360109243, 0.071964002084456621, 0.071051079525385696, 0.070232898213162837, 0.06949819784958261, 0.06883692665417343, 0.068240199237879551, 0.067700213847635887, 0.067210150845356725, 0.066764065974308118, 0.066356786384343586, 0.06598381374785986, 0.065641236495881577, 0.065325651798008588, 0.065034097091682286, 0.064763990523915987, 0.064513079460771311, 0.064279396153601093, 0.064061219666555397, 0.063857043229198468, 0.063665546257990521, 0.063485570376788078, 0.063316098851445263, 0.063156238932742914, 0.063005206673268033, 0.062862313846914111, 0.062726956654530708, 0.062598605946507985, 0.062476798733525539, 0.062361130791133694, 0.062251250193102167, 0.062146851633303787, 0.062047671416991509, 0.061953483020245857, 0.061864093131663571, 0.061779338103435583, 0.061699080750210029, 0.061623207443861072, 0.061551625460747147, 0.061484260545434884, 0.061421054661381959, 0.06136196390482581, 0.061306956563222499, 0.061256011304099148, 0.06120911548417747, 0.061166263572120183, 0.061127455681293574, 0.061092696211496413, 0.06106199260073613, 0.061035354189793889, 0.061012791203545247, 0.060994313853794536, 0.060979931568737593, 0.060969652354153116, 0.060963482291027798, 0.060961425173620638, 0.060962796570460727, 0.060966909720156282, 0.060973761517092509, 0.060983346841252742, 0.060995658641593273, 0.061010688051494302, 0.061028424535035146, 0.061048856062499691, 0.06107196931319895, 0.061097749903393013, 0.061126182636799815, 0.061157251774906503, 0.06119094132403198, 0.061227235335830243, 0.061266118217668246, 0.061307575049037562, 0.061351591899884407, 0.06139815614641049, 0.061447256779542325, 0.06149888470083411, 0.061553033000054699, 0.061609697208095171, 0.061668875518077544, 0.061730568966645596, 0.061794781566316272, 0.061861520378453508, 0.06193079551485707, 0.062002620054092926, 0.062077009856499263, 0.062153983259254912, 0.062233560629951126, 0.062315763753760155, 0.062400615025529203, 0.062488136413957319, 0.062578348160510847, 0.062671267170968326, 0.06276690505264293, 0.062865265745665144, 0.062966342692583374, 0.06307011548749987, 0.063176545944720608, 0.063285573528430158, 0.063397110090453623, 0.063511033874309772, 0.063627182762404172, 0.063745346771607467, 0.063865259843101388, 0.063986591027892364, 0.064108935242211396, 0.064231803859001513, 0.064354615513450703, 0.064476687630571128, 0.064597229326556302, 0.064715336484107377, 0.064829989940735078, 0.064940057837572437, 0.065044303227595621, 0.065141398004492035, 0.065229944053122602, 0.065308502209609237, 0.065375629134904537, 0.065429921552204617, 0.065470066507224214, 0.065494895448475351, 0.065503439095513247, 0.065494979397081404, 0.065469094516861268, 0.065425692841451985, 0.065365032552391622, 0.065287724334262276, 0.065194716208286776, 0.065087261108638883, 0.064966869428914345, 0.064835250124114979, 0.064694244866480816, 0.06454576011016272, 0.064391701708658766, 0.06423391603324953, 0.064074140511615779, 0.063913965324975341, 0.063754806843125178, 0.063597892376468984, 0.063444255066788274, 0.063294737254965608, 0.063150000440226228, 0.063010539938039498, 0.062876702494369316, 0.062748705362655879, 0.06262665564413987, 0.062510568991105742, 0.062400387048477814, 0.06229599324589432, 0.062197226743281278, 0.062103894478105499, 0.062015781366139548, 0.061932658776112592, 0.06185429143911185, 0.061780442972816318, 0.061710880204599604, 0.061645376471152938, 0.061583714059473368, 0.061525685937739424, 0.061471096906858168, 0.061419764285733258, 0.061371518226482624, 0.061326201740454445, 0.061283670502202431, 0.061243792486655783, 0.061206447484511532, 0.061171526532255334, 0.061138931286034093, 0.061108573362677311, 0.06108037366632562, 0.061054261715211819, 0.061030174979996021, 0.061008058242559157, 0.060987862982181361, 0.060969546794485636, 0.06095307284731865, 0.060938409376807244, 0.060925529226104787, 0.060914409428791089, 0.060905030838453549, 0.060897377805653248, 0.060891437903211526, 0.060887201700546276, 0.060884662587618071, 0.060883816648894272], [0.061599426219658492, 0.061601309343114509, 0.061606960309248962, 0.061616383991237186, 0.061629588798362889, 0.061646587110820453, 0.061667395896302497, 0.061692037516818357, 0.061720540737438608, 0.061752941952614181, 0.061789286650590601, 0.061829631142482251, 0.061874044590162922, 0.061922611376690889, 0.061975433875092044, 0.062032635686737322, 0.062094365440289227, 0.06216080126760537, 0.0622321561059445, 0.062308684018890968, 0.06239068778512806, 0.062478528079576365, 0.062572634672506428, 0.062673520209245576, 0.06278179732072367, 0.0628982000750576, 0.063023611144978398, 0.063159096584044699, 0.063305950851455364, 0.063465755818406508, 0.063640459115608658, 0.063832479646317164, 0.064044851898148361, 0.064281426702190572, 0.064547155817526999, 0.064848503880767155, 0.065194058914335967, 0.065595461513751993, 0.066068862735968931, 0.066637293213616194, 0.067334673996423969, 0.068212943861510764, 0.069355484027593298, 0.070904274857650607, 0.073119980866255721, 0.076531257894831922, 0.082368807575258884, 0.094145659220474423, 0.12583231733072803, 0.27642879947434484, 0.37974561325713352, 0.09660535510684666, 0.066747390904734985, 0.060740201185046763, 0.059166879868319151, 0.058811810198326542, 0.058861256545557017, 0.059054772985621978, 0.059296508986154572, 0.059548233564604883, 0.059794176930935403, 0.060027946397257809, 0.060247200785442122, 0.060451339130780928, 0.060640454348657009, 0.060814851164249513, 0.060974828811443595, 0.061120593764585819, 0.061252239298297234, 0.061369760998120595, 0.06147309225033696, 0.06156215054549969, 0.06163688837674898, 0.061697343672631064, 0.061743685177435274, 0.061776248608173857, 0.061795560124001128, 0.06180234477680574, 0.061797519124983824, 0.061782168895227509, 0.061757514194887918, 0.061724866030946422, 0.06168557857504435, 0.061641001647512489, 0.061592437334769934, 0.061541103671001282, 0.061488107128612267, 0.061434424490065614, 0.061380893683844528, 0.061328212454847007, 0.061276943328566362, 0.061227523188286448, 0.061180275852795549, 0.061135426246213112, 0.061093115024372723, 0.061053412811060429, 0.061016333466457365, 0.060981846039200829, 0.060949885234655901, 0.06092036036574764, 0.060893162844400203, 0.060868172328857717, 0.060845261672891601, 0.060824300834469151, 0.06080515990002363, 0.060787711370862772, 0.060771831844113972, 0.060757403204456842, 0.06074431342646907, 0.060732457071754495, 0.060721735550750139, 0.060712057206488805, 0.060703337266705189, 0.060695497701446895, 0.060688467015654515, 0.060682179999838465, 0.060676577456821396, 0.060671605918355069, 0.060667217362106091, 0.060663368936881332, 0.06066002270191162, 0.060657145384424384, 0.060654708158519942, 0.060652686447447444, 0.060651059750698018, 0.060649811496837437, 0.060648928922651703, 0.060648402978943056, 0.060648228263158681, 0.060648254313660679, 0.060648332493710128, 0.060648462888959982, 0.060648645642238985, 0.060648880953663407, 0.060649169080792174, 0.060649510338826804, 0.060649905100854558, 0.060650353798135229, 0.060650856920430887, 0.060651415016378149, 0.060652028693901697, 0.060652698620669687, 0.060653425524587377, 0.060654210194331766, 0.0606550534799217, 0.060655956293325174, 0.060656919609099802, 0.060657944465065998, 0.060659031963008987, 0.060660183269406955, 0.060661399616183866, 0.060662682301479823, 0.060664032690437623, 0.060665452215998471, 0.060666942379702112, 0.060668504752484004, 0.060670140975462125, 0.060671852760705365, 0.060673641891972184, 0.06067551022540979, 0.060677459690199775, 0.060679492289136501, 0.060681610099121069, 0.060683815271552248, 0.060686110032593402, 0.06068849668329121, 0.060690977599518657, 0.060693555231711258, 0.060696232104363035, 0.060699010815241344, 0.060701894034276824, 0.060704884502078303, 0.060707985028016366, 0.06071119848781098, 0.060714527820552235, 0.060717976025071944, 0.060721546155576088, 0.06072524131643306, 0.060729064656003216, 0.060733019359378304, 0.060737108639882582, 0.060741335729170176, 0.060745703865730333, 0.060750216281590871, 0.060754876186979938, 0.060759686752679995, 0.060764651089769986, 0.06076977222641599, 0.060775053081325893, 0.06078049643343534, 0.060786104887336816, 0.060791880833900469, 0.06079782640546659, 0.060803943424909065, 0.060810233347778374, 0.060816697196634344, 0.060823335486559722, 0.060830148140721178, 0.060837134394693099, 0.060844292688098725, 0.060851620541933743, 0.060859114419727384, 0.060866769570461311, 0.060874579850894429, 0.060882537524646306, 0.060890633035050865, 0.060898854748415852, 0.060907188663903045, 0.060915618085778021, 0.06092412325326417, 0.060932680922680921, 0.060941263895947784, 0.060949840488913942, 0.060958373932347279, 0.060966821697828896, 0.060975134740314463, 0.060983256648853186, 0.06099112269707032, 0.060998658785792345, 0.061005780272067545, 0.061012390682474223, 0.06101838031511627, 0.061023624745767627, 0.061027983271990591, 0.061031297359077689, 0.061033389200452912, 0.061034060584286232, 0.061033092386703063, 0.061030245222201393, 0.061025262128332917, 0.061017874738701544, 0.061007815371983402, 0.060994839133363524, 0.060978763036892744, 0.060959534346729793, 0.060937349807634489, 0.060912865207990524, 0.060887569136828731, 0.060864463921527681, 0.060849341544994703, 0.060853261012741411, 0.06089757673289857, 0.061024724055151996, 0.061323010139437341, 0.061988830143525298, 0.063501655823900938, 0.067196801888876237, 0.077569204057254162, 0.11432139305285796, 0.26926746711635735, 0.32103993533812447, 0.17738167331939836, 0.12666957330609488, 0.10708788566164436, 0.098196710823844943, 0.094125120675166013, 0.09292935380532466, 0.094125120675169163, 0.098196710823844985, 0.10708788566164036, 0.12666957330609041, 0.17738167331944329, 0.32103993533799852, 0.26926746711605776, 0.11432139305282091, 0.077569204057250443, 0.067196801888867008, 0.063501655823900119, 0.061988830143524687, 0.061323010139437438, 0.061024724055152038, 0.060897576732898633, 0.060853261012741487, 0.060849341544994627, 0.060864463921527487, 0.060887569136828933, 0.060912865207990677, 0.060937349807634419, 0.060959534346729842, 0.060978763036892737, 0.060994839133363579, 0.061007815371983423, 0.061017874738701516, 0.061025262128332966, 0.061030245222201407, 0.061033092386703028, 0.061034060584286343, 0.061033389200452905, 0.061031297359077696, 0.061027983271990632, 0.061023624745767703, 0.061018380315116263, 0.061012390682474146, 0.061005780272067517, 0.060998658785792366, 0.060991122697070313, 0.060983256648853255, 0.060975134740314511, 0.060966821697828834, 0.060958373932347328, 0.060949840488913963, 0.060941263895947735, 0.060932680922680893, 0.060924123253264184, 0.060915618085778056, 0.060907188663903038, 0.060898854748415887, 0.060890633035050906, 0.06088253752464623, 0.060874579850894381, 0.060866769570461332, 0.060859114419727384, 0.060851620541933708, 0.060844292688098774, 0.060837134394693106, 0.06083014814072113, 0.060823335486559667, 0.060816697196634267, 0.060810233347778388, 0.060803943424909052, 0.060797826405466653, 0.060791880833900462, 0.060786104887336836, 0.060780496433435326, 0.060775053081325865, 0.060769772226415941, 0.060764651089770028, 0.060759686752679995, 0.060754876186979903, 0.060750216281590871, 0.060745703865730395, 0.060741335729170239, 0.060737108639882603, 0.060733019359378304, 0.060729064656003216, 0.060725241316433011, 0.060721546155576102, 0.060717976025072014, 0.0607145278205522, 0.060711198487810959, 0.060707985028016359, 0.060704884502078303, 0.060701894034276838, 0.060699010815241372, 0.060696232104363021, 0.060693555231711195, 0.060690977599518657, 0.060688496683291224, 0.060686110032593416, 0.060683815271552206, 0.06068161009912109, 0.06067949228913655, 0.06067745969019981, 0.060675510225409728, 0.06067364189197217, 0.060671852760705296, 0.060670140975462125, 0.060668504752484018, 0.060666942379702125, 0.060665452215998429, 0.060664032690437603, 0.060662682301479802, 0.060661399616183831, 0.060660183269407003, 0.060659031963008939, 0.06065794446506604, 0.060656919609099864, 0.060655956293325167, 0.060655053479921686, 0.060654210194331794, 0.060653425524587454, 0.060652698620669659, 0.060652028693901738, 0.060651415016378135, 0.060650856920430901, 0.060650353798135243, 0.060649905100854537, 0.060649510338826797, 0.060649169080792188, 0.060648880953663373, 0.060648645642238999, 0.060648462888960017, 0.060648332493710162, 0.060648254313660693, 0.060648228263158611, 0.060648241287855946, 0.060648280369574051, 0.060648345531193408, 0.060648436810853974, 0.06064855426196452, 0.060648697953215397, 0.060648867968594186, 0.060649064407405681, 0.060649287384294828, 0.060649537029272532, 0.060649813487745244, 0.060650116920546671, 0.060650447503973241, 0.060650805429820882, 0.060651190905425173, 0.060651604153702986, 0.060652045413196257, 0.060652514938116929, 0.060653012998393575, 0.06065353987971777, 0.060654095883592558, 0.06065468132737932, 0.060655296544344844, 0.060655941883707515, 0.060656617710681753, 0.060657324406520489, 0.060658062368554318, 0.060658832010228279, 0.060659633761133348, 0.060660468067033332, 0.060661335389886106, 0.060662236207857739, 0.060663171015328837, 0.06066414032289176, 0.060665144657338549, 0.060666184561636381, 0.060667260594891463, 0.060668373332297673, 0.060669523365070553, 0.0606707113003635, 0.060671937761164377, 0.060673203386172291, 0.060674508829649795, 0.060675854761250987, 0.060677241865821192, 0.060678670843166867, 0.060680142407792612, 0.06068165728860226, 0.060683216228561244, 0.060684819984316629, 0.060686469325772041, 0.060688165035612529, 0.060689907908776576, 0.060691698751870013, 0.060693538382518085, 0.060695427628650059, 0.060697367327712366, 0.060699358325802852, 0.060701401476722545, 0.060703497640937368, 0.060705647684443399, 0.060707852477529085, 0.060710112893426371, 0.060712429806844222, 0.060714804092374369, 0.060717236622762287, 0.060719728267033084, 0.060722279888463356, 0.060724892342387621, 0.060727566473830333, 0.060730303114950215, 0.060733103082286473, 0.060735967173793932, 0.060738896165654283, 0.060741890808849855, 0.060744951825485644, 0.060748079904845986, 0.060751275699169327, 0.060754539819126999, 0.060757872828988875, 0.060761275241460667, 0.060764747512175261, 0.060768290033820949, 0.060771903129891433, 0.060775587048037566, 0.060779341953006258, 0.06078316791914834, 0.060787064922479886, 0.06079103283227992, 0.060795071402211603, 0.060799180260950686, 0.060803358902310888, 0.06080760667485454, 0.060811922770979444, 0.060816306215478219, 0.060820755853563301, 0.060825270338363324, 0.060829848117891341, 0.060834487421496136, 0.060839186245813033, 0.060843942340232521, 0.060848753191918431, 0.060853616010408965, 0.060858527711848229, 0.060863484902901256, 0.060868483864419329, 0.060873520534934, 0.060878590494069074, 0.060883688945976205, 0.060888810702914312, 0.060893950169109798, 0.060899101325049124, 0.060904257712378514, 0.060909412419599289, 0.060914558068772107, 0.060919686803458627, 0.060924790278154173, 0.060929859649482297, 0.06093488556944348, 0.060939858181028803, 0.060944767116527285, 0.060949601498871707, 0.060954349946380104, 0.060959000581261552, 0.060963541042258658, 0.060967958501804163, 0.06097223968805935, 0.06097637091219666, 0.060987722400570897, 0.060997199490404642, 0.061004391406249719, 0.061008889942773738, 0.06101031141140776, 0.061008322363235307, 0.061002667453614677, 0.060993197046482428, 0.060979891601494404, 0.060962879742626458, 0.060942447315771198, 0.06091903572789608, 0.06089322928557761, 0.060865732837636036, 0.060837342428050868, 0.060808912573201951, 0.060781324019512702, 0.060755455422976543, 0.060732161490358073, 0.060712258991127858, 0.060696520948988898, 0.060685678446058974, 0.060680428920385353, 0.060681449620914693, 0.060689414961822667, 0.060705016837444822, 0.060728987501029841, 0.060762125442521318, 0.060805326057763211, 0.060859621349536305, 0.060926237696241614, 0.061006690650902085, 0.061102957113987874, 0.061217812961297337, 0.061355535092547001, 0.061523436923977319, 0.061735403709922594, 0.062020531798182905, 0.062445885275764813, 0.06318271208988982, 0.064727569903419574, 0.068804386060507275, 0.083383585734454549, 0.1686217180344963, 0.5653091410384582, 0.23835875000848628, 0.14957243764467706, 0.12451534115941731, 0.11521125884185368, 0.11170168892014233, 0.11084445595731403, 0.11129622630217434, 0.11231576862989552, 0.1134035797664685, 0.11418785965369693, 0.11439842838816636, 0.11387069262043018, 0.11255123356207239, 0.11049059089902342, 0.10781995126509132, 0.10471713301699179, 0.10137130207510034, 0.097954780244507281, 0.094606125694935844, 0.091424254892199297, 0.088470646091384858, 0.085775957836127723, 0.083348037059175262, 0.081179412361004927, 0.079253385723368236, 0.077548524446647671, 0.076041720019178777, 0.074710117387453326, 0.073532226385504523, 0.072488478720298191, 0.071561430589718228, 0.070735752566169277, 0.069998101781238525, 0.069336937290551071, 0.06874231584017855, 0.068205689559656321, 0.067719717068344634, 0.06727809328849986, 0.066875399589851475, 0.066506973832028249, 0.066168798811042137, 0.06585740715593584, 0.065569800608422907, 0.065303381694365059, 0.065055895965672197, 0.064825383198339706, 0.064610136144964747, 0.064408665641350255, 0.064219671048671906, 0.064042015172410635, 0.06387470293687772, 0.063716863211235028, 0.063567733281650107, 0.063426645546992802, 0.063293016084595199, 0.063166334790193179, 0.063046156844097756, 0.062932095295551507, 0.062823814590473537, 0.062721024895562069, 0.062623477094958593, 0.062530958355214453, 0.062443288170782693, 0.062360314816245432, 0.062281912143427702, 0.062207976671810702, 0.062138424929518973, 0.062073191009877612, 0.062012224315283096, 0.061955487466051284, 0.061902954357111406, 0.061854608349980841, 0.06181044059142999, 0.061770448453690584, 0.061734634093953307, 0.061703003133312208, 0.061675563457205561, 0.061652324140815964, 0.061633294503833973, 0.061618483299464705, 0.061607898042627909, 0.061601544481971381, 0.061599426219658492, 0.061600838377378869, 0.061605073822698496, 0.061612129489809479, 0.06162200032789323, 0.061634679388762562, 0.061650157948261904, 0.061668425660149961, 0.061689470740840892, 0.061713280183056191, 0.061739839996131335, 0.061769135470422627, 0.061801151462985197, 0.061835872701425106, 0.061873284102566525, 0.061913371102318426, 0.061956119992846802, 0.062001518262880848, 0.062049554936642222, 0.062100220906522334, 0.062153509254184468, 0.062209415554231921, 0.062267938153939779, 0.062329078421749756, 0.062392840956272975, 0.062459233746371044, 0.062528268271472079, 0.062599959529589633, 0.062674325978488737, 0.062751389373058339, 0.062831174479156898, 0.062913708640953372, 0.062999021175070488, 0.063087142560626586, 0.063178103389566587, 0.063271933036535638, 0.063368658002039627, 0.063468299876933754, 0.063570872870641004, 0.063676380840298225, 0.063784813753828426, 0.063896143517513174, 0.064010319099027407, 0.064127260881480935, 0.06424685419452307, 0.064368941987172995, 0.06449331663630592, 0.064619710927563995, 0.064747788305012322, 0.064877132565127671, 0.065007237272175278, 0.065137495296875195, 0.065267189027411562, 0.065395481966751712, 0.065521412603422841, 0.065643891608551969, 0.065761703546887124, 0.065873514362834562, 0.065977885877049267, 0.066073298364732816, 0.066158181946771671, 0.066230956984878603, 0.066290082931143648, 0.066334114174626313, 0.066361760429236763, 0.066371948238066178, 0.066363879383090726, 0.066337081550583696, 0.066291446654559688, 0.066227252846741469, 0.066145167434261909, 0.06604622957167379, 0.065931813481350562, 0.065803574815001542, 0.065663384321664867, 0.065513254009895217, 0.065355261358771913, 0.065191476838800722, 0.06502389915614197, 0.064854401416123086, 0.064684690030437558, 0.06451627686858348, 0.064350464032400065, 0.064188339803710956, 0.064030783806665256, 0.063878479215077263, 0.063731929865056436, 0.063591480334314499, 0.063457337352052764, 0.063329591247692288, 0.063208236488046868, 0.063093190661335688, 0.06298431152668188, 0.06288141195390809, 0.062784272732156199, 0.062692653333036683, 0.062606300782584001, 0.062524956834593387, 0.06244836365370654, 0.062376268216612969, 0.06230842562934661, 0.062244601542085484, 0.062184573823180399, 0.06212813363350364, 0.062075086022054138, 0.062025250144955281, 0.061978459193018587, 0.061934560098114766, 0.061893413075708517, 0.061854891049975255, 0.061818878998756641, 0.06178527324803143, 0.061753980739371328, 0.061724918288818792, 0.061698011851583162, 0.061673195803728736, 0.061650412249488862, 0.06162961036084455, 0.061610745754461536, 0.061593779909883135, 0.061578679631963604, 0.06156541655982678, 0.061553966724110211, 0.061544310153846718, 0.061536430534036901, 0.061530314914723071, 0.061525953472191718, 0.061523339322784407, 0.061522468389664582], [0.062248565905480474, 0.062250505338736821, 0.062256325371744539, 0.062266031294742875, 0.062279632227706112, 0.062297141578856186, 0.062318577695133284, 0.06234396471380739, 0.062373333627944734, 0.062406723582739167, 0.062444183425014475, 0.062485773534777356, 0.062531567975963848, 0.062581657013942499, 0.062636150060547222, 0.06269517912425869, 0.062758902864764848, 0.062827511379012324, 0.062901231882096717, 0.062980335493803913, 0.063065145404272799, 0.063156046775755412, 0.063253498849752995, 0.063358049881467829, 0.063470355733243639, 0.063591203250256828, 0.063721539952207237, 0.063862512160421686, 0.064015514527614475, 0.064182255184222048, 0.064364842579772208, 0.064565902938524267, 0.064788741665278357, 0.065037569058893005, 0.065317822132674536, 0.065636633503046743, 0.066003531400710178, 0.066431514020876048, 0.066938751438621991, 0.067551382305564095, 0.068308311130122132, 0.069269867737630636, 0.070534431519041041, 0.072272865859774424, 0.074807045204119779, 0.078812978084847454, 0.085945325520370139, 0.10131061448025309, 0.14816718248073496, 0.415905834729973, 0.22610463035352563, 0.083039103302857936, 0.064810019200093064, 0.060687611456837459, 0.059595339100307961, 0.059396480709399194, 0.059504167564162463, 0.059721243335603427, 0.059973004406796503, 0.060229195855533227, 0.060477311148821274, 0.060712359720543466, 0.060932611455501121, 0.061137721051063409, 0.061327870578032698, 0.061503373451751581, 0.061664497957282544, 0.061811400160999806, 0.061944114026579754, 0.062062573002995065, 0.062166649565582641, 0.062256204693156403, 0.062331141538903845, 0.062391458346324466, 0.062437295935515578, 0.062468975408550335, 0.062487022417251854, 0.062492175521454432, 0.062485377776227341, 0.062467752507558344, 0.062440565965750053, 0.062405180880567721, 0.062363005660328374, 0.062315443995205382, 0.062263849009293333, 0.062209485040132621, 0.06215349884940459, 0.062096900818196715, 0.062040555632574768, 0.061985181219286013, 0.061931354269530677, 0.061879520554990512, 0.061830008325878857, 0.061783043307147123, 0.061738764104541655, 0.061697237141285041, 0.06165847053150994, 0.0616224265376729, 0.061589032448466384, 0.061558189852377869, 0.061529782376162134, 0.061503682015420301, 0.061479754214803423, 0.061457861865882479, 0.061437868387946057, 0.061419640045955765, 0.061403047644382425, 0.06138796771826089, 0.06137428332530398, 0.061361884526358858, 0.061350668626476569, 0.061340540235652052, 0.061331411196932195, 0.061323200419997059, 0.06131583365034117, 0.061309243197631445, 0.061303367641501121, 0.061298151528762022, 0.061293545072618728, 0.061289503861785513, 0.061285988585315206, 0.061282964777333665, 0.06128040258464474, 0.061278276559241888, 0.061276565477084363, 0.06127525218400208, 0.06127432346925013, 0.061273769967004961, 0.061273586085948607, 0.061273613627945984, 0.061273696284219401, 0.06127383414563807, 0.061274027363734621, 0.061274276150831995, 0.061274580780219731, 0.061274941586381165, 0.061275358965270539, 0.061275833374639509, 0.061276365334413795, 0.0612769554271183, 0.061277604298350857, 0.061278312657304539, 0.061279081277335598, 0.061279910996579763, 0.061280802718611797, 0.061281757413150367, 0.061282776116804112, 0.061283859933859569, 0.06128501003710668, 0.061286227668699969, 0.061287514141054503, 0.061288870837769668, 0.061290299214580173, 0.061291800800327749, 0.061293377197949438, 0.061295030085475682, 0.061296761217031634, 0.061298572423834428, 0.061300465615175839, 0.061302442779381433, 0.061304505984733512, 0.061306657380344458, 0.0613088991969655, 0.061311233747712322, 0.061313663428689054, 0.061316190719486796, 0.061318818183531708, 0.061321548468252531, 0.061324384305036374, 0.061327328508933757, 0.061330383978071119, 0.061333553692723516, 0.061336840713993063, 0.061340248182032049, 0.06134377931374238, 0.061347437399872716, 0.061351225801426643, 0.061355147945281491, 0.061359207318907101, 0.061363407464058405, 0.061367751969299056, 0.061372244461196504, 0.061376888594007098, 0.061381688037648548, 0.061386646463728732, 0.061391767529373219, 0.061397054858558765, 0.061402512020623773, 0.061408142505585149, 0.06141394969584308, 0.06141993683380273, 0.061426106984879943, 0.061432462995293313, 0.061439007443965854, 0.061445742587773633, 0.061452670299283807, 0.061459791996010302, 0.061467108560097225, 0.061474620247194425, 0.061482326583137903, 0.061490226246866432, 0.061498316937807503, 0.061506595225742949, 0.061515056380907748, 0.061523694181797581, 0.061532500697840158, 0.061541466043732999, 0.061550578101857517, 0.061559822208745854, 0.061569180801097328, 0.061578633016330285, 0.061588154242099555, 0.061597715608637672, 0.061607283417200148, 0.061616818497352968, 0.061626275485387891, 0.061635602015890217, 0.061644737818556235, 0.061653613713007933, 0.061662150495952771, 0.061670257718159815, 0.061677832354304643, 0.061684757378195711, 0.061690900271540346, 0.061696111519864566, 0.061700223190338854, 0.061703047752563314, 0.061704377410418433, 0.061703984386731463, 0.061701622886255386, 0.06169703393064261, 0.061689955040956784, 0.061680138067802613, 0.061667380750765298, 0.061651581595605881, 0.06163283485091281, 0.061611595610087125, 0.061588970164026847, 0.061567235898118869, 0.061550795087779435, 0.061547979772579933, 0.06157460152154122, 0.061661274274236032, 0.061869441476601825, 0.062329150740663523, 0.063336879794786888, 0.065641831083896582, 0.071431234270915744, 0.08852942818433078, 0.15247568428682806, 0.35067869776846794, 0.27923963608341018, 0.16981129026736713, 0.1299899011676055, 0.11360687434864238, 0.10653953498197236, 0.10451955656833983, 0.10653953498197913, 0.11360687434864269, 0.12998990116759682, 0.16981129026735775, 0.27923963608350655, 0.35067869776859806, 0.15247568428668032, 0.088529428184316292, 0.071431234270914107, 0.065641831083891169, 0.063336879794786319, 0.062329150740663086, 0.061869441476601852, 0.061661274274236101, 0.061574601521541289, 0.061547979772580017, 0.061550795087779372, 0.061567235898118668, 0.061588970164027035, 0.061611595610087271, 0.06163283485091274, 0.061651581595605937, 0.061667380750765291, 0.061680138067802662, 0.061689955040956833, 0.061697033930642575, 0.061701622886255435, 0.061703984386731442, 0.061704377410418398, 0.061703047752563425, 0.061700223190338854, 0.061696111519864573, 0.061690900271540401, 0.061684757378195787, 0.061677832354304615, 0.061670257718159732, 0.061662150495952736, 0.061653613713007954, 0.061644737818556228, 0.06163560201589028, 0.061626275485387946, 0.06161681849735292, 0.061607283417200204, 0.061597715608637686, 0.061588154242099492, 0.061578633016330278, 0.061569180801097342, 0.061559822208745875, 0.061550578101857524, 0.061541466043733006, 0.061532500697840206, 0.061523694181797504, 0.0615150563809077, 0.06150659522574297, 0.061498316937807523, 0.061490226246866397, 0.061482326583137951, 0.061474620247194425, 0.061467108560097149, 0.061459791996010239, 0.061452670299283731, 0.061445742587773647, 0.06143900744396584, 0.061432462995293369, 0.061426106984879957, 0.061419936833802764, 0.061413949695843087, 0.061408142505585128, 0.061402512020623731, 0.061397054858558807, 0.061391767529373226, 0.06138664646372869, 0.061381688037648548, 0.06137688859400716, 0.061372244461196587, 0.06136775196929907, 0.061363407464058391, 0.061359207318907101, 0.061355147945281442, 0.061351225801426656, 0.061347437399872778, 0.06134377931374236, 0.061340248182032021, 0.061336840713993049, 0.061333553692723544, 0.061330383978071133, 0.061327328508933791, 0.061324384305036353, 0.061321548468252468, 0.061318818183531715, 0.061316190719486824, 0.061313663428689054, 0.061311233747712281, 0.0613088991969655, 0.061306657380344499, 0.061304505984733512, 0.061302442779381371, 0.061300465615175818, 0.061298572423834359, 0.06129676121703162, 0.061295030085475689, 0.061293377197949465, 0.0612918008003277, 0.061290299214580138, 0.061288870837769627, 0.061287514141054461, 0.061286227668700038, 0.061285010037106638, 0.061283859933859632, 0.061282776116804161, 0.06128175741315036, 0.061280802718611804, 0.061279910996579784, 0.061279081277335681, 0.061278312657304511, 0.061277604298350927, 0.061276955427118307, 0.061276365334413788, 0.06127583337463953, 0.061275358965270511, 0.061274941586381172, 0.061274580780219759, 0.061274276150831967, 0.061274027363734634, 0.061273834145638077, 0.061273696284219435, 0.061273613627945991, 0.061273586085948538, 0.061273599856342204, 0.061273641175401537, 0.061273710066763826, 0.061273806569830461, 0.061273930739776418, 0.06127408264756317, 0.061274262379954821, 0.061274470039538051, 0.061274705744745667, 0.061274969629882735, 0.061275261845156581, 0.06127558255670898, 0.061275931946652144, 0.061276310213105895, 0.061276717570238573, 0.061277154248308797, 0.0612776204937103, 0.061278116569016709, 0.061278642753029189, 0.06127919934082289, 0.06127978664379586, 0.061280404989716097, 0.061281054722768971, 0.061281736203603283, 0.061282449809375743, 0.061283195933793139, 0.061283974987151144, 0.061284787396370562, 0.061285633605027867, 0.061286514073381121, 0.061287429278389829, 0.061288379713727387, 0.061289365889785431, 0.061290388333668677, 0.061291447589180051, 0.061292544216792796, 0.061293678793610668, 0.061294851913312187, 0.061296064186079843, 0.061297316238510577, 0.061298608713506231, 0.061299942270143119, 0.061301317583516646, 0.061302735344560419, 0.06130419625983631, 0.061305701051293716, 0.061307250455994597, 0.061308845225801573, 0.06131048612702604, 0.061312173940032438, 0.061313909458796167, 0.061315693490409641, 0.061317526854533962, 0.061319410382790734, 0.061321344918090118, 0.061323331313889277, 0.061325370433377518, 0.061327463148579779, 0.061329610339375951, 0.061331812892426778, 0.061334071700001123, 0.061336387658697269, 0.061338761668050065, 0.061341194629017035, 0.061343687442333789, 0.061346241006730994, 0.061348856217002312, 0.061351533961914721, 0.061354275121949284, 0.061357080566863197, 0.061359951153059755, 0.061362887720755516, 0.061365891090931671, 0.061368962062056699, 0.061372101406565988, 0.061375309867084747, 0.061378588152380079, 0.061381936933025287, 0.061385356836762793, 0.061388848443547708, 0.061392412280257463, 0.061396048815049203, 0.061399758451348332, 0.061403541521452436, 0.061407398279731261, 0.06141132889540811, 0.061415333444903859, 0.061419411903729723, 0.061423564137910364, 0.061427789894926338, 0.061432088794158811, 0.061436460316827542, 0.061440903795410715, 0.061445418402538747, 0.061450003139358424, 0.061454656823362708, 0.061459378075691781, 0.061464165307908152, 0.061469016708258203, 0.061473930227437766, 0.061478903563882824, 0.06148393414861815, 0.061489019129700208, 0.061494155356303773, 0.061499339362508447, 0.061504567350854328, 0.06150983517574863, 0.061515138326815474, 0.061520471912298522, 0.061525830642639681, 0.06153120881437505, 0.061536600294503828, 0.061541998505508677, 0.061547396411220263, 0.06155278650374376, 0.061558160791679445, 0.061563510789895866, 0.061568827511129437, 0.061574101459707049, 0.061579322627705976, 0.061584480493882043, 0.061589564025714423, 0.061594561684925081, 0.061599461436843569, 0.061604250763989482, 0.061608916684249525, 0.06161344577401609, 0.061617824196646256, 0.061629911658256736, 0.061640113709478195, 0.06164801703319208, 0.06165321213537716, 0.06165531566775951, 0.061653996505877551, 0.06164900392713038, 0.061640195475218103, 0.061627561556295236, 0.06161124368227229, 0.061591543696903159, 0.061568922309751313, 0.061543986685029875, 0.061517468410553763, 0.061490194564494421, 0.061463055501503265, 0.061436973226195769, 0.061412873820304685, 0.061391666506831304, 0.061374230824391786, 0.061361412304012451, 0.061354026181322477, 0.061352868138819516, 0.061358730869249901, 0.061372425340977463, 0.061394805973903482, 0.061426799471696929, 0.061469437847671671, 0.061523897413758036, 0.061591547634953524, 0.061674017812506268, 0.061773297817646636, 0.061891906678955944, 0.062033201710093779, 0.062201990286706234, 0.062405821483443494, 0.062657881122129097, 0.062983898067650396, 0.063439858660416529, 0.064161794695526575, 0.065523937094646906, 0.068735854519796927, 0.078763215539814552, 0.12581040767687515, 0.45654521626338418, 0.34711608279838646, 0.18572325902671868, 0.14497621418789239, 0.13108613901676655, 0.12622893519522649, 0.12531338194247724, 0.12629341511067815, 0.12806610153126563, 0.12988073529733019, 0.13116678014427374, 0.13150681242323814, 0.13065608767826334, 0.12855856550868364, 0.12533373951644516, 0.12123058178190488, 0.11656228833758427, 0.11164235929469916, 0.10673817660285578, 0.10204807958377964, 0.097698797040859792, 0.09375565230563275, 0.090237974243669389, 0.087134459714317311, 0.084415843186182268, 0.082044136834797832, 0.079978743958211737, 0.078180141126590427, 0.076611853253966467, 0.075241320704253337, 0.074040097536044985, 0.072983677996467905, 0.072051140228296839, 0.071224720769523492, 0.070489383980732373, 0.069832419632212872, 0.069243083406480263, 0.068712284550190933, 0.068232319292099025, 0.067796645945524328, 0.067399696587083169, 0.067036720086718946, 0.06670365160548325, 0.066397004217310526, 0.066113778905671314, 0.065851389760966245, 0.065607601725029399, 0.065380478682544818, 0.065168340084820572, 0.06496972461416213, 0.064783359664511389, 0.064608135634014394, 0.064443084205354648, 0.064287359936872152, 0.064140224607545232, 0.064001033856820211, 0.063869225740169705, 0.063744310886524255, 0.063625863997147605, 0.063513516469358947, 0.063406949964590356, 0.063305890770063322, 0.063210104828107586, 0.063119393327761841, 0.063033588770590107, 0.062952551437241641, 0.062876166193685384, 0.062804339586647037, 0.062736997186914334, 0.062674081147081992, 0.062615547947183978, 0.062561366307656435, 0.062511515254297725, 0.062465982324414693, 0.062424761907245413, 0.062387853715023048, 0.062355261383772932, 0.062326991205089249, 0.062303050991762192, 0.062283449081239325, 0.062268193481511823, 0.062257291164189071, 0.062250747509266138, 0.062248565905480474, 0.062250020288281617, 0.062254382424372437, 0.062261649295444137, 0.062271815932880628, 0.062284875509944888, 0.062300819469517384, 0.062319637686088739, 0.062341318660354625, 0.062365849744433439, 0.062393217395415479, 0.062423407454651123, 0.062456405449910005, 0.062492196917274319, 0.062530767739365861, 0.062572104496250947, 0.062616194825086402, 0.062663027784290254, 0.06271259421767654, 0.062764887113620341, 0.062819901953858406, 0.062877637045974086, 0.062938093832942729, 0.063001277172273801, 0.063067195576276575, 0.06313586140372518, 0.06320729099168812, 0.063281504714469083, 0.063358526954420305, 0.06343838596679531, 0.063521113617755628, 0.06360674497107674, 0.063695317694983322, 0.063786871255844466, 0.063881445860162103, 0.063979081100442217, 0.064079814254190959, 0.064183678178600032, 0.0642906987367277, 0.064400891684524425, 0.06451425894248751, 0.06463078417187014, 0.064750427574343739, 0.064873119837317667, 0.064998755156693663, 0.065127183287099308, 0.065258200599545582, 0.065391540171371082, 0.065526860997002903, 0.065663736494182307, 0.065801642592107107, 0.06593994582735363, 0.066077892039950362, 0.066214596451241239, 0.066349036107227366, 0.066480045868638801, 0.066606319295955396, 0.066726415878569922, 0.066838776048718018, 0.066941745254857382, 0.067033608000792486, 0.067112632154451235, 0.067177122989087831, 0.067225485375649457, 0.067256291384878084, 0.067268349421040138, 0.067260770077402693, 0.067233023373377498, 0.067184982076638575, 0.067116946532111782, 0.06702964780569258, 0.066924227867996997, 0.066802197740525052, 0.066665376679768421, 0.066515817255501875, 0.066355722325716723, 0.066187360281894314, 0.066012984538928995, 0.065834762210025377, 0.06565471546327542, 0.06547467746031653, 0.065296263263198623, 0.065120854837555184, 0.064949598375015252, 0.06478341162780428, 0.064622998758053857, 0.06446887028267699, 0.064321365957414708, 0.064180678809788089, 0.064046878932907142, 0.063919936041275813, 0.063799740134901958, 0.063686119903596725, 0.063578858725335058, 0.063477708274567307, 0.063382399866352357, 0.063292653729841192, 0.06320818643975841, 0.063128716745961336, 0.063053970036382009, 0.062983681653576665, 0.062917599264218513, 0.062855484457393987, 0.062797113723703418, 0.062742278944349791, 0.062690787498447198, 0.062642462078113512, 0.062597140284655753, 0.062554674065259788, 0.062514929037900735, 0.062477783742469935, 0.062443128848135458, 0.062410866340465262, 0.06238090870662253, 0.06235317813278219, 0.06232760572462568, 0.062304130759199175, 0.062282699974416968, 0.0622632669009568, 0.062245791240119752, 0.062230238290340655, 0.062216578424367827, 0.062204786618638694, 0.062194842036000918, 0.062186727662661929, 0.062180430000035723, 0.062175938811997782, 0.062173246927938068, 0.062172350101890893], [0.062911322782474965, 0.0629133206738723, 0.062919316228154401, 0.062929315181058529, 0.062943327411636621, 0.062961367426003403, 0.062983455043886236, 0.063009616297961604, 0.063039884559802639, 0.063074301910930927, 0.063112920783224821, 0.06315580590008972, 0.063203036558794862, 0.063254709305742937, 0.063310941070863311, 0.063371872845743235, 0.063437674013791912, 0.063508547471343296, 0.063584735718475671, 0.06366652815067611, 0.063754269851762593, 0.06384837228106216, 0.063949326372720175, 0.064057718735288802, 0.06417425187444678, 0.064299769689154185, 0.064435289954260969, 0.064582046165455945, 0.064741542086253975, 0.06491562376068441, 0.065106575896104385, 0.065317252800676823, 0.065551259191571121, 0.065813204404215314, 0.066109067020189177, 0.066446729712351604, 0.066836783825652973, 0.067293774994307012, 0.067838196230845624, 0.068499801561412221, 0.069323368949966518, 0.070379276319897169, 0.071784219941146671, 0.073745229387904426, 0.076663375398452444, 0.081414060862492019, 0.090264259962989785, 0.11087139865149351, 0.18418564442845209, 0.56968127360412446, 0.14913409370921693, 0.075385773472391754, 0.063709776210924579, 0.060840154122433106, 0.06009603178850495, 0.060015845014366291, 0.060169101822277242, 0.060404979994052366, 0.060664892273455825, 0.060924831528810168, 0.061174893765201362, 0.061411216911929682, 0.061632561431803914, 0.061838781940738649, 0.062030122663192931, 0.062206891881514646, 0.062369319238824557, 0.062517505535209072, 0.062651421845564853, 0.062770936478941552, 0.06287585829895434, 0.06296598933372026, 0.063041181301611279, 0.063101391150045788, 0.063146730798802037, 0.063177506520611368, 0.063194244082850348, 0.063197697020615215, 0.063188837130509171, 0.063168828225730153, 0.063138986045278706, 0.063100728633024947, 0.063055522257292135, 0.063004827941592248, 0.062950052998030262, 0.062892510798740406, 0.062833390649415857, 0.062773738294126427, 0.062714446471296106, 0.06265625415978833, 0.062599752721537116, 0.062545397021319962, 0.062493519709229547, 0.062444347102196443, 0.062398015421065663, 0.062354586470504111, 0.062314062151701766, 0.062276397451604987, 0.062241511750154591, 0.062209298430619953, 0.062179632874630131, 0.062152378982022916, 0.06212739438540487, 0.062104534538643841, 0.062083655854241443, 0.062064618051949641, 0.062047285864011266, 0.062031530223696077, 0.062017229045164719, 0.062004267685182669, 0.061992539161414416, 0.061981944188189919, 0.061972391078785223, 0.06196379555328338, 0.061956080482813841, 0.061949175594195528, 0.061943017153529713, 0.061937547642891173, 0.061932715440781862, 0.061928474514269138, 0.061924784128598122, 0.061921608578427385, 0.061918916943592826, 0.061916682871370872, 0.061914884386530478, 0.061913503729975762, 0.061912527226441909, 0.061911945181487793, 0.061911751807891977, 0.061911780897006143, 0.061911868196434579, 0.061912013802463951, 0.061912217875666212, 0.06191248064104142, 0.061912802388215969, 0.061913183471698462, 0.061913624311191642, 0.061914125391960693, 0.061914687265258131, 0.061915310548804295, 0.06191599592732358, 0.061916744153136312, 0.061917556046803872, 0.061918432497830092, 0.061919374465413679, 0.061920382979254368, 0.061921459140409252, 0.061922604122199541, 0.061923819171164532, 0.061925105608061436, 0.061926464828909629, 0.061927898306074321, 0.061929407589388204, 0.061930994307306267, 0.061932660168089515, 0.061934406961011906, 0.061936236557584588, 0.061938150912790979, 0.061940152066322904, 0.061942242143809903, 0.06194442335803009, 0.061946698010090187, 0.061949068490560713, 0.061951537280549675, 0.06195410695269675, 0.061956780172066454, 0.061959559696916418, 0.061962448379312585, 0.061965449165561924, 0.061968565096425912, 0.061971799307074922, 0.06197515502673908, 0.061978635578003149, 0.061982244375687973, 0.061985984925252889, 0.061989860820643575, 0.061993875741503231, 0.061998033449650138, 0.062002337784715665, 0.062006792658821704, 0.062011402050159925, 0.062016169995319816, 0.062021100580190155, 0.062026197929239434, 0.06203146619295196, 0.062036909533171695, 0.062042532106071087, 0.062048338042427903, 0.062054331424852192, 0.06206051626156002, 0.062066896456239209, 0.062073475773493508, 0.06208025779928858, 0.062087245895747753, 0.062094443149562563, 0.062101852313192915, 0.062109475737921437, 0.062117315297714491, 0.062125372302703277, 0.062133647400953729, 0.062142140467022766, 0.062150850475608921, 0.06215977535839716, 0.062168911841953507, 0.062178255264265653, 0.062187799367224177, 0.062197536062010957, 0.062207455163994833, 0.062217544093332952, 0.062227787537033563, 0.062238167067763729, 0.062248660714177409, 0.062259242477015343, 0.062269881784702268, 0.062280542881674006, 0.06229118414225749, 0.062301757302687361, 0.062312206603901917, 0.062322467838327358, 0.062332467295258757, 0.062342120602165256, 0.062351331464091102, 0.062359990311489394, 0.062367972880261809, 0.062375138769510251, 0.062381330057413656, 0.062386370111526333, 0.062390062819386589, 0.062392192609520281, 0.062392525866574129, 0.062390814726285056, 0.062386804867409565, 0.062380249975385847, 0.06237093735156285, 0.062358732256855905, 0.062343654082660308, 0.062326007394307471, 0.062306609368708174, 0.062287190494396842, 0.062271115388290318, 0.062264714747048894, 0.062279830331022246, 0.06233888210234248, 0.062485480246983263, 0.062808081501058183, 0.063496999555441039, 0.064996076145415471, 0.068461094357115393, 0.077395120419214675, 0.10477606891032246, 0.20538863793192616, 0.38106064794112671, 0.26209653540936362, 0.1753213618788016, 0.14149245314687858, 0.12787655795817002, 0.12411630442085633, 0.12787655795818276, 0.14149245314687808, 0.17532136187878891, 0.26209653540934963, 0.38106064794113048, 0.20538863793204315, 0.10477606891026518, 0.077395120419207208, 0.068461094357114324, 0.064996076145412141, 0.06349699955544065, 0.062808081501057836, 0.062485480246983291, 0.062338882102342522, 0.062279830331022287, 0.062264714747048991, 0.062271115388290249, 0.06228719049439662, 0.062306609368708361, 0.062326007394307617, 0.062343654082660238, 0.062358732256855967, 0.062370937351562829, 0.06238024997538591, 0.0623868048674096, 0.062390814726285021, 0.062392525866574185, 0.062392192609520281, 0.062390062819386569, 0.062386370111526444, 0.062381330057413656, 0.062375138769510237, 0.062367972880261864, 0.062359990311489463, 0.062351331464091074, 0.062342120602165166, 0.062332467295258723, 0.062322467838327386, 0.062312206603901903, 0.062301757302687416, 0.062291184142257539, 0.062280542881673957, 0.062269881784702316, 0.062259242477015371, 0.062248660714177347, 0.062238167067763722, 0.062227787537033591, 0.06221754409333298, 0.062207455163994826, 0.062197536062010998, 0.062187799367224232, 0.062178255264265556, 0.062168911841953459, 0.062159775358397173, 0.062150850475608914, 0.062142140467022731, 0.062133647400953784, 0.06212537230270327, 0.062117315297714429, 0.062109475737921374, 0.062101852313192846, 0.062094443149562556, 0.062087245895747725, 0.062080257799288663, 0.062073475773493515, 0.062066896456239237, 0.062060516261560006, 0.062054331424852172, 0.062048338042427861, 0.062042532106071135, 0.062036909533171695, 0.062031466192951919, 0.062026197929239434, 0.06202110058019019, 0.062016169995319864, 0.062011402050159911, 0.062006792658821683, 0.062002337784715658, 0.061998033449650089, 0.061993875741503245, 0.061989860820643658, 0.061985984925252875, 0.061982244375687966, 0.061978635578003108, 0.061975155026739101, 0.061971799307074936, 0.061968565096425933, 0.061965449165561903, 0.061962448379312529, 0.061959559696916425, 0.061956780172066482, 0.061954106952696736, 0.06195153728054964, 0.061949068490560713, 0.061946698010090208, 0.061944423358030132, 0.061942242143809847, 0.061940152066322869, 0.061938150912790917, 0.061936236557584581, 0.061934406961011927, 0.061932660168089529, 0.061930994307306239, 0.061929407589388197, 0.061927898306074279, 0.061926464828909615, 0.061925105608061491, 0.061923819171164504, 0.061922604122199597, 0.061921459140409328, 0.061920382979254361, 0.061919374465413665, 0.06191843249783012, 0.061917556046803969, 0.061916744153136284, 0.061915995927323636, 0.061915310548804295, 0.06191468726525811, 0.061914125391960721, 0.061913624311191642, 0.061913183471698455, 0.061912802388215976, 0.061912480641041386, 0.061912217875666233, 0.061912013802463986, 0.061911868196434634, 0.061911780897006143, 0.0619117518078919, 0.061911766351790548, 0.061911809991626154, 0.061911882751819976, 0.061911984673080199, 0.061912115812411385, 0.06191227624312793, 0.061912466054870004, 0.061912685353624312, 0.061912934261747696, 0.061913212917993801, 0.061913521477543469, 0.061913860112037533, 0.061914229009613284, 0.061914628374942167, 0.061915058429271135, 0.061915519410465324, 0.061916011573052945, 0.061916535188271019, 0.061917090544113193, 0.061917677945376878, 0.061918297713712392, 0.061918950187670428, 0.061919635722749534, 0.0619203546914424, 0.061921107483280349, 0.061921894504875154, 0.061922716179957656, 0.061923572949413273, 0.061924465271311888, 0.061925393620932676, 0.061926358490782547, 0.061927360390607006, 0.061928399847392596, 0.06192947740535916, 0.061930593625942131, 0.061931749087761605, 0.06193294438657837, 0.061934180135234156, 0.061935456963575483, 0.061936775518358814, 0.061938136463134369, 0.061939540478108811, 0.061940988259981629, 0.061942480521755543, 0.061944017992516524, 0.061945601417182188, 0.061947231556214732, 0.061948909185295803, 0.061950635094959905, 0.061952410090182715, 0.061954234989921461, 0.061956110626602029, 0.061958037845549471, 0.061960017504357631, 0.061962050472192214, 0.061964137629022906, 0.061966279864779428, 0.061968478078424039, 0.061970733176937083, 0.061973046074206672, 0.061975417689817021, 0.061977848947727558, 0.061980340774835239, 0.061982894099412149, 0.061985509849409329, 0.061988188950618237, 0.06199093232467956, 0.061993740886930514, 0.061996615544078135, 0.061999557191689758, 0.06200256671148674, 0.062005644968430765, 0.062008792807589343, 0.062012011050767382, 0.062015300492890744, 0.062018661898127464, 0.062022095995732343, 0.062025603475598552, 0.062029184983501261, 0.062032841116016584, 0.062036572415099953, 0.062040379362306532, 0.062044262372636251, 0.062048221787988425, 0.062052257870205844, 0.062056370793694547, 0.062060560637600411, 0.062064827377528442, 0.062069170876787476, 0.062073590877148796, 0.062078086989102735, 0.062082658681604203, 0.062087305271297168, 0.062092025911209769, 0.062096819578918765, 0.062101685064178347, 0.062106620956021014, 0.062111625629334241, 0.062116697230926568, 0.062121833665103265, 0.062127032578773521, 0.062132291346124607, 0.062137607052901528, 0.062142976480344191, 0.062148396088840561, 0.062153862001368632, 0.06215936998681152, 0.062164915443241799, 0.06217049338128771, 0.062176098407708921, 0.06218172470932639, 0.062187366037466198, 0.062193015693100234, 0.062198666512880793, 0.062204310856290648, 0.062209940594145696, 0.062215547098712173, 0.0622211212357172, 0.06222665335855225, 0.062232133304987849, 0.062237550396733628, 0.062242893442194643, 0.062248150742784031, 0.06225331010316431, 0.062258358845790174, 0.062263283830129551, 0.062268071476928546, 0.06227270779787699, 0.062285563572629453, 0.062296523213582505, 0.062305170786962613, 0.062311095469975326, 0.062313914268680992, 0.06231329847465366, 0.062309002183667479, 0.062300890450269091, 0.062288964124120307, 0.062273378298440721, 0.062254451732575003, 0.062232665605474649, 0.062208651376971486, 0.062183169105220412, 0.062157078954059711, 0.062131309525469053, 0.062106826904132544, 0.062084607912911552, 0.062065620214273094, 0.062050810804139982, 0.062041103384855079, 0.062037404264492127, 0.062040615910823306, 0.062051657105214458, 0.062071488754498375, 0.062101144770354361, 0.062141767980329103, 0.06219465181863261, 0.062261289702541321, 0.06234343590094775, 0.062443185173974104, 0.06256308533462529, 0.06270631126503709, 0.062876960357591882, 0.063080600936164619, 0.063325375546751536, 0.063624387602343305, 0.064001236559204422, 0.064503837631138483, 0.065242037317555165, 0.066501887101990828, 0.06914872605958744, 0.076391218747034251, 0.10449567462784606, 0.2788498210928862, 0.51345503626855038, 0.24986184979353573, 0.1781742101917427, 0.1558266781762177, 0.1486145196115122, 0.14766501641719493, 0.1496521278188003, 0.15282768300308502, 0.1559828594274266, 0.15817380544683846, 0.15870446572919034, 0.15718639823317559, 0.15357919937378528, 0.1481621409551967, 0.14143478051670016, 0.13398180821126721, 0.12634948285579164, 0.11896664627504923, 0.11211744104956972, 0.10595289877864866, 0.10052194416339377, 0.095805930064043018, 0.091747884523718501, 0.088273593037267589, 0.0853050339833787, 0.082767975373054595, 0.08059564013015981, 0.078729969037797679, 0.077121547569257654, 0.075728874298352539, 0.074517370605929015, 0.073458350416333362, 0.072528058558042119, 0.071706823083874466, 0.070978332702997124, 0.070329033448001579, 0.069747631339839009, 0.069224685631667907, 0.068752277617196184, 0.068323741537415758, 0.06793344604351885, 0.067576616588613789, 0.067249190853703622, 0.066947700803564547, 0.066669176211443498, 0.066411065509326198, 0.066171170643763197, 0.065947593278062891, 0.065738690209594622, 0.065543036291695306, 0.065359393484626535, 0.065186684926710065, 0.065023973129299251, 0.06487044156886948, 0.064725379085174881, 0.064588166603202532, 0.064458265784116425, 0.064335209280942149, 0.064218592331859961, 0.064108065470402542, 0.064003328169744939, 0.063904123269370838, 0.063810232058040775, 0.063721469908265244, 0.063637682375257312, 0.063558741688289191, 0.063484543575025754, 0.063415004370206474, 0.063350058369309861, 0.063289655395816047, 0.063233758557594819, 0.063182342173922851, 0.063135389859782926, 0.063092892758520661, 0.063054847917639587, 0.063021256805602416, 0.062992123969954794, 0.062967455838951567, 0.062947259670172603, 0.062931542650370861, 0.062920311151084679, 0.062913570144372197, 0.062911322782474965, 0.062912821001256614, 0.062917314663561708, 0.062924800806872377, 0.062935274558796092, 0.062948729234099221, 0.062965156469208985, 0.062984546392866603, 0.06300688783125237, 0.063032168545576542, 0.063060375499811333, 0.063091495155940314, 0.063125513793823598, 0.063162417852508659, 0.063202194289555813, 0.063244830954690578, 0.063290316973816513, 0.063338643139140963, 0.063389802300818837, 0.063443789755139812, 0.063500603623811727, 0.063560245218317601, 0.063622719382622595, 0.063688034806627505, 0.063756204301699038, 0.063827245028279717, 0.063901178663968092, 0.06397803149850842, 0.06405783443976984, 0.064140622911981249, 0.06422643662415646, 0.064315319182724082, 0.064407317517827176, 0.064502481087522615, 0.064600860818160646, 0.064702507732592174, 0.064807471210565612, 0.064915796817890309, 0.065027523632906273, 0.065142680990887214, 0.065261284559832392, 0.065383331655525526, 0.065508795700965239, 0.065637619736937144, 0.065769708898742105, 0.065904921791643367, 0.066043060727800335, 0.066183860834244962, 0.066326978109256793, 0.066471976597826582, 0.066618314979933396, 0.066765333020942882, 0.0669122385218449, 0.067058095624321412, 0.067201815561442987, 0.067342151180316542, 0.067477696768957846, 0.067606894855407385, 0.067728051661646776, 0.067839362731014333, 0.067938949850235325, 0.068024909715065987, 0.06809537383172827, 0.068148577942274108, 0.068182937909312721, 0.068197127657169246, 0.068190153657662012, 0.068161419805070469, 0.068110776554535374, 0.068038549025321776, 0.067945540387296346, 0.06783300909285557, 0.06770262108454371, 0.067556380612643574, 0.067396545345929398, 0.067225532745337033, 0.067045825037037932, 0.066859879586145893, 0.066670050208961495, 0.066478523245672688, 0.066287270353512576, 0.066098018245856691, 0.065912234191779634, 0.06573112510489354, 0.065555647504008677, 0.065386525469758441, 0.065224273861638107, 0.065069224397727998, 0.064921552640657076, 0.064781304402320883, 0.064648420523028174, 0.06452275936596874, 0.06440411668054967, 0.064292242726330578, 0.064186856719105498, 0.064087658772475645, 0.063994339573812856, 0.063906588064251743, 0.06382409739831664, 0.063746569448287396, 0.063673718097847429, 0.063605271543728428, 0.063540973796312392, 0.063480585542711979, 0.063423884510106721, 0.063370665443823304, 0.063320739794152966, 0.06327393518823525, 0.063230094748379151, 0.063189076305711592, 0.063150751547752404, 0.063115005130135141, 0.063081733775928739, 0.063050845380618226, 0.063022258136531978, 0.062995899687155979, 0.062971706319179616, 0.062949622198121655, 0.062929598651867952, 0.062911593505310268, 0.062895570468425782, 0.062881498579508185, 0.062869351704808563, 0.062859108095506211, 0.062850750002697478, 0.062844263350911492, 0.062839637470532908, 0.062836864889419822, 0.062835941183918748], [0.063599403105871255, 0.063601462318136126, 0.063607641992801639, 0.063617948344240394, 0.063632392066985718, 0.063650988846511339, 0.063673760084445016, 0.063700733849079733, 0.063731946066220665, 0.063767441970486602, 0.063807277843450277, 0.063851523072792613, 0.063900262576455577, 0.063953599648177817, 0.064011659296563772, 0.064074592170007147, 0.064142579185764298, 0.064215837015119362, 0.064294624620506641, 0.06437925109826452, 0.064470085157404128, 0.064567566667562096, 0.064672220848355319, 0.064784675862544133, 0.064905684838448038, 0.065036153715361048, 0.065177176828162514, 0.06533008289887908, 0.065496495200636509, 0.065678411289122551, 0.065878310159762657, 0.066099298484804683, 0.066345313561189098, 0.06662141023511943, 0.066934175014117483, 0.067292337747183725, 0.067707699096927587, 0.068196579467433863, 0.068782161795542016, 0.069498434560004485, 0.070397149561633135, 0.071560816174562975, 0.073128711048307038, 0.075353655658670332, 0.078740617594816584, 0.084439825860513018, 0.095626459807838543, 0.124220402595834, 0.24682641131278199, 0.49411751402791254, 0.11190932256696427, 0.070913681863180936, 0.063163177198365825, 0.061152369489872273, 0.060664747034782127, 0.060675810324831783, 0.060865105171868633, 0.061116198355756379, 0.061382903009520706, 0.061646139309924491, 0.061898088521593758, 0.062135799097361097, 0.062358424946130309, 0.062565975283462666, 0.062758734347290124, 0.062936993767886626, 0.063100937904322002, 0.063250607830612232, 0.063385908196846211, 0.063506639013366284, 0.063612542576164693, 0.063703359237911164, 0.063778886925868652, 0.063839039489550151, 0.063883898890178745, 0.063913756411416445, 0.063929138766454605, 0.063930816295170029, 0.063919792285750565, 0.063897274550494237, 0.063864632372250249, 0.063823343456894305, 0.063774936321211104, 0.063720933524211459, 0.063662800400081002, 0.063601902695223533, 0.063539475035211609, 0.063476600720867027, 0.063414202177213261, 0.063353040561291638, 0.063293722592051543, 0.063236712549334842, 0.063182347515724199, 0.063130854212721216, 0.063082366129637038, 0.063036939997752561, 0.062994570983525802, 0.062955206241829945, 0.062918756676785009, 0.062885106906500635, 0.062854123526931871, 0.062825661829050486, 0.062799571152597961, 0.062775699067647267, 0.062753894569274327, 0.062734010456358014, 0.062715905046944936, 0.062699443362483009, 0.062684497893367899, 0.0626709490397203, 0.06265868530469261, 0.062647603303107369, 0.062637607635859557, 0.06262861067014075, 0.06262053225696744, 0.062613299410495121, 0.062606845967949631, 0.062601112244485585, 0.062596044693710426, 0.062591595581808115, 0.062587722681024277, 0.062584388986607842, 0.062581562460047008, 0.062579215800495455, 0.062577326245605816, 0.062575875402501036, 0.062574849109284611, 0.062574237327279569, 0.062574034064059869, 0.062574064767362214, 0.062574156911240894, 0.062574310597642929, 0.062574525996585251, 0.062574803346313657, 0.062575142953524357, 0.062575545193649398, 0.062576010511205177, 0.062576539420204288, 0.062577132504630734, 0.062577790418978402, 0.062578513888852119, 0.062579303711632464, 0.062580160757201353, 0.062581085968732048, 0.062582080363538711, 0.062583145033988222, 0.062584281148471366, 0.062585489952433543, 0.062586772769463186, 0.062588131002435474, 0.062589566134711894, 0.062591079731390331, 0.062592673440604749, 0.062594348994870888, 0.062596108212473703, 0.062597952998892134, 0.062599885348255543, 0.062601907344826638, 0.062604021164501714, 0.062606229076321546, 0.062608533443981845, 0.062610936727332908, 0.062613441483854629, 0.062616050370092227, 0.062618766143036145, 0.062621591661425419, 0.062624529886953051, 0.062627583885346824, 0.062630756827297684, 0.062634051989201425, 0.062637472753676135, 0.062641022609813121, 0.062644705153111838, 0.062648524085044136, 0.062652483212185334, 0.062656586444840512, 0.062660837795087229, 0.062665241374141936, 0.062669801388949106, 0.06267452213787672, 0.062679408005386197, 0.062684463455529804, 0.062689693024106929, 0.062695101309292248, 0.062700692960521068, 0.062706472665392449, 0.062712445134318728, 0.062718615082615115, 0.062724987209685057, 0.062731566174912337, 0.062738356569821699, 0.062745362886013151, 0.062752589478314288, 0.062760040522522945, 0.062767719967032384, 0.062775631477545418, 0.062783778373977972, 0.062792163558545958, 0.062800789433896664, 0.062809657810008843, 0.062818769798421978, 0.062828125692178216, 0.06283772482966174, 0.062847565440292408, 0.062857644469786075, 0.062867957382413298, 0.062878497937381539, 0.062889257936127402, 0.06290022693693377, 0.062911391932878993, 0.062922736988695493, 0.062934242831649889, 0.062945886391084879, 0.062957640280788846, 0.06296947221792093, 0.062981344371857428, 0.062993212636122287, 0.063005025816628923, 0.06301672472997856, 0.063028241206815244, 0.063039496997648159, 0.063050402582810638, 0.063060855895350973, 0.063070740977291567, 0.06307992660839272, 0.06308826497638198, 0.063095590505009028, 0.063101719031709566, 0.063106447647078526, 0.063109555701819559, 0.063110807800200786, 0.06310996011186569, 0.063106772183382689, 0.063101027858361247, 0.063092571352989041, 0.063081368775987037, 0.063067612920848476, 0.06305190288040205, 0.063035555698542245, 0.063021156781881471, 0.063013554726096849, 0.063021712081445372, 0.063062272511272929, 0.063166738618836024, 0.063396693124722028, 0.063878222343095675, 0.064886233388605469, 0.067072734575554183, 0.07216825425991269, 0.085499902810397141, 0.1264590207651288, 0.25925293583203463, 0.38434135905968064, 0.27198843073957774, 0.19859283040350861, 0.16929869294844274, 0.16144935876650132, 0.1692986929484698, 0.19859283040350958, 0.27198843073954954, 0.38434135905969019, 0.25925293583190145, 0.12645902076517918, 0.085499902810371495, 0.072168254259908873, 0.067072734575553766, 0.064886233388603415, 0.063878222343095398, 0.063396693124721737, 0.06316673861883601, 0.063062272511272971, 0.063021712081445413, 0.063013554726096946, 0.063021156781881402, 0.063035555698542037, 0.06305190288040223, 0.063067612920848601, 0.063081368775986982, 0.06309257135298911, 0.063101027858361219, 0.063106772183382731, 0.063109960111865704, 0.063110807800200716, 0.063109555701819614, 0.063106447647078512, 0.063101719031709552, 0.063095590505009166, 0.06308826497638198, 0.06307992660839272, 0.063070740977291595, 0.063060855895351056, 0.063050402582810611, 0.063039496997648062, 0.063028241206815216, 0.063016724729978602, 0.063005025816628937, 0.062993212636122342, 0.06298134437185747, 0.062969472217920874, 0.062957640280788901, 0.062945886391084893, 0.062934242831649834, 0.06292273698869548, 0.062911391932879021, 0.062900226936933798, 0.062889257936127416, 0.062878497937381553, 0.062867957382413339, 0.062857644469786006, 0.062847565440292352, 0.062837724829661754, 0.062828125692178188, 0.062818769798421922, 0.062809657810008898, 0.062800789433896678, 0.062792163558545874, 0.062783778373977916, 0.062775631477545349, 0.062767719967032384, 0.062760040522522917, 0.062752589478314358, 0.062745362886013137, 0.06273835656982174, 0.062731566174912337, 0.062724987209685029, 0.062718615082615059, 0.062712445134318798, 0.062706472665392449, 0.062700692960521026, 0.062695101309292248, 0.062689693024106971, 0.062684463455529874, 0.062679408005386197, 0.062674522137876706, 0.062669801388949106, 0.062665241374141881, 0.062660837795087243, 0.062656586444840581, 0.062652483212185306, 0.062648524085044094, 0.062644705153111824, 0.062641022609813135, 0.062637472753676163, 0.062634051989201425, 0.062630756827297657, 0.062627583885346783, 0.062624529886953065, 0.062621591661425433, 0.062618766143036145, 0.062616050370092199, 0.062613441483854615, 0.06261093672733295, 0.062608533443981873, 0.062606229076321476, 0.0626040211645017, 0.062601907344826568, 0.06259988534825553, 0.062597952998892148, 0.062596108212473744, 0.062594348994870846, 0.062592673440604735, 0.062591079731390289, 0.062589566134711866, 0.062588131002435529, 0.062586772769463159, 0.062585489952433612, 0.062584281148471407, 0.062583145033988236, 0.062582080363538684, 0.062581085968732075, 0.062580160757201436, 0.062579303711632436, 0.062578513888852175, 0.062577790418978416, 0.062577132504630734, 0.062576539420204288, 0.062576010511205177, 0.062575545193649398, 0.062575142953524371, 0.062574803346313629, 0.062574525996585278, 0.062574310597642957, 0.06257415691124095, 0.062574064767362228, 0.062574034064059786, 0.062574049414996766, 0.062574095476220865, 0.062574172272973974, 0.062574279847331979, 0.062574418258214609, 0.062574587581398861, 0.062574787909535551, 0.06257501935217008, 0.062575282035766761, 0.062575576103735681, 0.06257590171646385, 0.062576259051348324, 0.062576648302833354, 0.062577069682448694, 0.062577523418851533, 0.062578009757869771, 0.062578528962547522, 0.062579081313191509, 0.062579667107419454, 0.062580286660207554, 0.062580940303940277, 0.062581628388458127, 0.062582351281105411, 0.062583109366776801, 0.062583903047961645, 0.06258473274478589, 0.062585598895050221, 0.062586501954265267, 0.062587442395680523, 0.062588420710308346, 0.062589437406941034, 0.062590493012160187, 0.062591588070336851, 0.062592723143621715, 0.062593898811924564, 0.0625951156728798, 0.062596374341798863, 0.062597675451605966, 0.062599019652756868, 0.062600407613138426, 0.06260184001794579, 0.062603317569537881, 0.062604840987265598, 0.062606411007273169, 0.06260802838226795, 0.062609693881257741, 0.062611408289251366, 0.062613172406919729, 0.062614987050214399, 0.062616853049939455, 0.062618771251273797, 0.062620742513238653, 0.062622767708106805, 0.062624847720748625, 0.062626983447910067, 0.062629175797417225, 0.062631425687302664, 0.062633734044845846, 0.062636101805523842, 0.062638529911863708, 0.062641019312190405, 0.062643570959262679, 0.062646185808788696, 0.062648864817813871, 0.062651608942971032, 0.062654419138584674, 0.062657296354618655, 0.062660241534458039, 0.062663255612512903, 0.062666339511634361, 0.06266949414032974, 0.062672720389764819, 0.062676019130540384, 0.062679391209229704, 0.062682837444662243, 0.062686358623939384, 0.062689955498168026, 0.062693628777894597, 0.062697379128225483, 0.062701207163616282, 0.062705113442314109, 0.062709098460435528, 0.062713162645662734, 0.062717306350542679, 0.062721529845369384, 0.062725833310635484, 0.062730216829034444, 0.062734680376999571, 0.06273922381576251, 0.062743846881920515, 0.062748549177496643, 0.06275333015948488, 0.062758189128869865, 0.062763125219115007, 0.062768137384117545, 0.06277322438562695, 0.062778384780135879, 0.06278361690524821, 0.062788918865539917, 0.062794288517933866, 0.06279972345661336, 0.062805220997511249, 0.062810778162415815, 0.062816391662747745, 0.062822057883069812, 0.062827772864404705, 0.062833532287448951, 0.062839331455781924, 0.062845165279187057, 0.06285102825721578, 0.062856914463143981, 0.062862817528483911, 0.062868730628239694, 0.062874646467107206, 0.062880557266845077, 0.062886454755057969, 0.062892330155658496, 0.062898174181291275, 0.062903977028022515, 0.062909728372617379, 0.062915417372742546, 0.062921032670448268, 0.06292656239929198, 0.062931994195477889, 0.062937315213386233, 0.06294251214586917, 0.062947571249678133, 0.062952478376377713, 0.0629661411461164, 0.062977896821973384, 0.062987326643089564, 0.062994018286195164, 0.062997589006725765, 0.062997712507771239, 0.062994147837794473, 0.062986767876572952, 0.062975584453212996, 0.062960767038548582, 0.06294265239782719, 0.062921743590949444, 0.062898698127882527, 0.062874306654154805, 0.062849464922102818, 0.062825142704501874, 0.062802353565690805, 0.062782129031262873, 0.062765499853410622, 0.062753486003039705, 0.062747095983386764, 0.062747335244256838, 0.062755222982809403, 0.062771816463840557, 0.062798242141790944, 0.062835733261183968, 0.062885674211597867, 0.062949652729409777, 0.063029522181033845, 0.063127477922730629, 0.063246154767049395, 0.063388758340515328, 0.063559254827950606, 0.063762668752334592, 0.064005595036856017, 0.064297164911451765, 0.064651035288904257, 0.065089836980848997, 0.065655951943591917, 0.066439958061902199, 0.067663672777533823, 0.069956173866109986, 0.075450962446910921, 0.09344047435659128, 0.1816149112795592, 0.55425286189125644, 0.36865925954749412, 0.23695911235828243, 0.19779469125835447, 0.18609115271960314, 0.18518240511460526, 0.18922022863127003, 0.19520526568391292, 0.20101880104449052, 0.20495703034575324, 0.20575698812851775, 0.20275554959740813, 0.1959853256378542, 0.18610861451370694, 0.17419123789917676, 0.16140233038652174, 0.14875518046590996, 0.13696524229209991, 0.12643091951042526, 0.11729310666605267, 0.10952108488844138, 0.1029900362024503, 0.097536699031829752, 0.092993263952583283, 0.089204951162724991, 0.086037193779351123, 0.083376988772408595, 0.081131385155321284, 0.07922483631285146, 0.077596326568253521, 0.076196698690369852, 0.07498634519902693, 0.07393329350460473, 0.073011654973593063, 0.072200386152177651, 0.071482307046808566, 0.070843326109978011, 0.070271829118354584, 0.069758196953718932, 0.069294424347391623, 0.068873817585742, 0.068490753988952963, 0.068140489793668713, 0.067819006058102968, 0.067522884527810592, 0.067249207193338142, 0.066995474654302445, 0.06675953947159155, 0.066539551513421419, 0.066333912938577738, 0.066141240954745856, 0.06596033687463182, 0.065790160292986039, 0.065629807442999649, 0.065478492975643551, 0.065335534551679217, 0.065200339751941477, 0.065072394903758601, 0.064951255495163257, 0.064836537907848005, 0.064727912247694558, 0.064625096090592429, 0.06452784899300873, 0.064435967642857375, 0.064349281547798967, 0.064267649176085989, 0.06419095448014675, 0.064119103745857012, 0.06405202272129476, 0.063989653988048595, 0.063931954546115638, 0.063878893590275071, 0.06383045046168688, 0.06378661276348524, 0.063747374633332868, 0.063712735169395032, 0.063682697008975192, 0.063657265061189877, 0.063636445396583613, 0.063620244297514422, 0.063608667473558894, 0.063601719446111468, 0.063599403105871255, 0.063600947307233507, 0.063605578938387197, 0.063613295101177691, 0.063624091033959176, 0.063637960213829142, 0.063654894498392262, 0.063674884305716176, 0.063697918830778133, 0.063723986296370091, 0.063753074236110999, 0.063785169806914774, 0.063820260127986056, 0.063858332643149038, 0.063899375503055911, 0.063943377963568318, 0.063990330796328404, 0.064040226707256148, 0.064093060758362019, 0.064148830787879016, 0.064207537823236738, 0.064269186480807053, 0.064333785345623964, 0.064401347323360433, 0.064471889955722672, 0.064545435689017494, 0.064622012083930189, 0.064701651952461386, 0.064784393405429297, 0.064870279790896351, 0.064959359500247407, 0.065051685614349875, 0.065147315357201738, 0.065246309318652662, 0.065348730401110097, 0.065454642437633187, 0.065564108420473249, 0.065677188270081038, 0.065793936065094275, 0.065914396644221038, 0.066038601481871254, 0.066166563731754946, 0.066298272327752691, 0.066433685030946141, 0.066572720318134368, 0.066715248023512294, 0.066861078675261504, 0.067009951517159494, 0.067161521277183223, 0.067315343845976067, 0.067470861163262369, 0.067627385783854271, 0.06778408580813218, 0.067939971111462161, 0.068093882082414736, 0.06824448236049685, 0.068390257317599401, 0.068529520206836073, 0.068660427948108255, 0.068781008363049123, 0.068889200244939303, 0.068982906899111768, 0.069060062698592578, 0.069118710806700664, 0.069157088634972524, 0.069173716021985021, 0.069167479792698008, 0.069137707572935289, 0.069084223742574891, 0.06900738136672209, 0.068908065839313526, 0.068787668612219938, 0.06864803239883488, 0.068491372166327322, 0.068320178597049946, 0.068137112145498849, 0.067944896166487592, 0.06774621687989367, 0.067543636390067469, 0.067339522932037404, 0.067136000339210536, 0.066934916737069999, 0.066737830884803118, 0.066546013517100072, 0.066360460483712622, 0.066181914372630699, 0.066010891522125775, 0.065847711756215316, 0.065692528708336639, 0.06554535914409268, 0.065406110198018175, 0.065274603868595682, 0.065150598457234365, 0.065033806891479654, 0.064923912049549823, 0.064820579315600563, 0.064723466657093859, 0.064632232540547688, 0.064546542001133883, 0.064466071164247032, 0.064390510490217046, 0.064319566981853593, 0.064252965561937034, 0.064190449796344626, 0.064131782109541485, 0.064076743613338469, 0.064025133647356403, 0.063976769110478948, 0.063931483646503362, 0.063889126733903331, 0.063849562718747199, 0.063812669821031079, 0.063778339137657139, 0.063746473659719569, 0.063716987317397056, 0.063689804062358496, 0.063664856994987223, 0.063642087541748979, 0.063621444686544959, 0.063602884258791681, 0.063586368280165034, 0.06357186437136611, 0.063559345219860328, 0.063548788109248008, 0.063540174510735001, 0.063533489737030019, 0.063528722658903219, 0.063525865484578226, 0.063524913602073699], [0.06440506324694395, 0.064407189526953151, 0.064413570576102225, 0.064424213128301933, 0.064439128763395567, 0.064458334447497573, 0.064481853300497285, 0.064509715602561385, 0.064541960056018949, 0.06457863532454676, 0.064619801878402064, 0.064665534182949583, 0.064715923278441376, 0.064771079812564025, 0.064831137604533892, 0.064896257841644545, 0.064966634037716811, 0.065042497919955825, 0.065124126459204248, 0.065211850322545159, 0.065306064112312046, 0.065407238869915035, 0.065515937478051095, 0.065632833807765273, 0.065758736752285288, 0.065894620704755436, 0.066041664628293278, 0.066201302721001443, 0.066375290931902864, 0.066565795453828111, 0.066775512161074566, 0.067007830365457557, 0.067267061246839871, 0.067558762652736512, 0.067890210877870047, 0.068271102561056715, 0.068714627701471409, 0.069239161790017462, 0.069871031830635061, 0.070649231637676571, 0.071633870242535022, 0.072922244392256308, 0.07468175473828699, 0.077223883642353663, 0.081191854757999296, 0.088121944421929457, 0.10257495429597131, 0.14393493366360988, 0.36043022959836962, 0.30195614585601693, 0.092785642898877863, 0.068355854377276024, 0.063074693111873248, 0.061669181864925537, 0.061374815497865928, 0.061457975037994314, 0.061677030338511282, 0.061941416876206898, 0.062214604984393719, 0.06248145157070624, 0.062735835877532772, 0.062975557416476452, 0.063200096023016336, 0.063409586731639503, 0.063604341610852128, 0.063784630419928073, 0.063950589675857289, 0.064102198914399236, 0.064239294501995031, 0.064361606008243852, 0.064468806790719688, 0.064560573139356217, 0.064636647079766116, 0.064696897849578522, 0.064741376834643205, 0.064770360850703299, 0.064784379363659703, 0.064784222643958347, 0.064770929828522478, 0.064745758120030542, 0.064710136489778386, 0.064665608875402306, 0.064613772700997343, 0.064556218500804063, 0.064494475598137271, 0.064429967424320403, 0.064363978468871236, 0.064297633324490386, 0.064231887042600119, 0.064167525157766303, 0.064105171286193322, 0.064045300098722821, 0.063988253620041027, 0.063934259113364006, 0.063883447186269871, 0.063835869133135131, 0.063791512871025136, 0.063750317107625534, 0.063712183595885513, 0.06367698748425718, 0.063644585872771955, 0.063614824744626652, 0.063587544471176552, 0.063562584094660105, 0.063539784585225773, 0.063518991252684162, 0.063500055473080685, 0.063482835868498122, 0.063467199057312795, 0.063453020072498464, 0.063440182528057748, 0.063428578598448901, 0.063418108862946659, 0.0634086820560677, 0.06340021475628535, 0.0633926310380101, 0.063385862105976673, 0.063379845926526096, 0.063374526866600667, 0.063369855348402643, 0.063365787525448386, 0.063362284984057354, 0.063359314473040759, 0.063356847663407517, 0.063354860939225099, 0.06335333522029156, 0.063352255816952432, 0.063351612317195147, 0.06335139850603945, 0.063351430928687349, 0.06335152823260945, 0.063351690525776716, 0.063351917988257456, 0.063352210872393427, 0.063352569503045603, 0.063352994277910954, 0.063353485667909215, 0.063354044217640279, 0.063354670545912789, 0.063355365346342701, 0.063356129388023083, 0.063356963516265033, 0.063357868653407826, 0.063358845799701941, 0.063359896034260246, 0.063361020516080835, 0.06336222048513826, 0.063363497263544621, 0.063364852256778195, 0.063366286954978215, 0.063367802934306883, 0.063369401858373225, 0.06337108547971948, 0.063372855641365841, 0.063374714278410932, 0.063376663419683843, 0.06337870518944308, 0.06338084180911778, 0.063383075599083238, 0.063385408980465116, 0.063387844476961872, 0.063390384716676476, 0.063393032433944882, 0.063395790471147823, 0.063398661780490445, 0.063401649425731496, 0.063404756583841149, 0.063407986546563447, 0.063411342721857333, 0.063414828635183579, 0.063418447930603111, 0.063422204371645849, 0.063426101841904517, 0.063430144345300268, 0.063434336005961794, 0.063438681067649133, 0.063443183892647123, 0.063447848960040173, 0.063452680863271368, 0.063457684306874526, 0.063462864102252825, 0.063468225162362335, 0.063473772495139039, 0.063479511195488891, 0.063485446435634182, 0.063491583453585923, 0.063497927539480192, 0.063504484019483276, 0.063511258236933307, 0.063518255530343154, 0.063525481207841669, 0.063532940517576103, 0.063540638613539036, 0.063548580516215286, 0.063556771067365805, 0.063565214878184492, 0.0635739162699612, 0.063582879206283749, 0.06359210721568348, 0.063601603303499732, 0.063611369851582653, 0.063621408504285881, 0.063631720039013143, 0.063642304219368256, 0.063653159628728279, 0.063664283481796785, 0.06367567141140984, 0.063687317227551235, 0.063699212645191572, 0.063711346977191233, 0.063723706788113024, 0.063736275504369361, 0.063749032975701836, 0.06376195498256719, 0.063775012683615837, 0.063788171997134491, 0.063801392910157198, 0.063814628709025573, 0.063827825125661972, 0.063840919394959963, 0.063853839220850236, 0.063866501652372842, 0.063878811877337641, 0.063890661951293892, 0.063901929495687515, 0.063912476424669018, 0.063922147800371337, 0.063930770980201501, 0.063938155320621706, 0.063944092862690857, 0.063948360682733837, 0.063950726009766076, 0.0639509558968092, 0.063948834371541946, 0.063944191910571921, 0.063936955371635018, 0.063927232268704434, 0.063915453547054607, 0.063902617818078294, 0.063890715395983899, 0.063883479176115476, 0.063887747607469472, 0.063916014618035019, 0.063991377199375143, 0.064157564919391188, 0.064500372532734593, 0.06519648112835072, 0.066633665258699806, 0.06973623669893067, 0.076952020531933882, 0.095627383423563861, 0.14986737787046492, 0.29200866078944376, 0.39164662702277087, 0.31576490723696826, 0.25750458808927451, 0.24054091524376572, 0.25750458808933258, 0.31576490723696121, 0.39164662702277503, 0.2920086607894628, 0.14986737787040291, 0.095627383423582943, 0.076952020531920809, 0.069736236698928519, 0.066633665258699529, 0.065196481128349415, 0.064500372532734385, 0.064157564919390939, 0.063991377199375116, 0.063916014618035061, 0.063887747607469514, 0.063883479176115587, 0.063890715395983802, 0.063902617818078059, 0.063915453547054801, 0.063927232268704587, 0.063936955371634935, 0.063944191910571976, 0.063948834371541932, 0.063950955896809242, 0.063950726009766104, 0.063948360682733782, 0.063944092862690913, 0.063938155320621706, 0.063930770980201473, 0.063922147800371462, 0.063912476424669004, 0.063901929495687515, 0.063890661951293962, 0.063878811877337724, 0.063866501652372815, 0.063853839220850153, 0.063840919394959908, 0.063827825125661999, 0.063814628709025559, 0.063801392910157267, 0.063788171997134532, 0.063775012683615767, 0.063761954982567245, 0.063749032975701836, 0.063736275504369277, 0.06372370678811301, 0.063711346977191274, 0.063699212645191614, 0.063687317227551221, 0.063675671411409868, 0.063664283481796813, 0.063653159628728195, 0.063642304219368215, 0.06363172003901317, 0.063621408504285867, 0.063611369851582611, 0.063601603303499774, 0.06359210721568348, 0.063582879206283666, 0.063573916269961145, 0.063565214878184409, 0.063556771067365847, 0.063548580516215272, 0.063540638613539119, 0.063532940517576103, 0.063525481207841711, 0.06351825553034314, 0.06351125823693328, 0.063504484019483234, 0.063497927539480248, 0.063491583453585923, 0.063485446435634113, 0.063479511195488905, 0.063473772495139094, 0.063468225162362391, 0.063462864102252839, 0.063457684306874526, 0.063452680863271355, 0.06344784896004009, 0.063443183892647123, 0.063438681067649189, 0.063434336005961753, 0.063430144345300254, 0.063426101841904503, 0.063422204371645863, 0.063418447930603111, 0.063414828635183607, 0.063411342721857306, 0.063407986546563391, 0.063404756583841149, 0.06340164942573151, 0.063398661780490445, 0.063395790471147753, 0.063393032433944882, 0.063390384716676504, 0.063387844476961913, 0.063385408980465061, 0.063383075599083225, 0.063380841809117697, 0.06337870518944308, 0.063376663419683885, 0.063374714278410973, 0.063372855641365813, 0.063371085479719466, 0.06336940185837317, 0.063367802934306841, 0.063366286954978271, 0.063364852256778167, 0.063363497263544691, 0.063362220485138301, 0.063361020516080807, 0.063359896034260232, 0.063358845799701954, 0.063357868653407923, 0.063356963516265005, 0.063356129388023139, 0.063355365346342701, 0.063354670545912761, 0.063354044217640307, 0.063353485667909173, 0.06335299427791094, 0.063352569503045603, 0.063352210872393386, 0.06335191798825747, 0.063351690525776758, 0.063351528232609491, 0.063351430928687349, 0.063351398506039394, 0.063351414716590254, 0.063351463356952714, 0.06335154445325876, 0.063351658049067894, 0.063351804205377199, 0.063351983000635062, 0.063352194530757883, 0.063352438909151557, 0.063352716266735914, 0.063353026751972463, 0.063353370530895819, 0.063353747787147641, 0.063354158722014428, 0.063354603554466399, 0.063355082521200298, 0.063355595876683296, 0.063356143893199324, 0.063356726860896009, 0.063357345087833916, 0.063357998900034476, 0.063358688641530617, 0.063359414674414805, 0.0633601773788873, 0.06336097715330298, 0.063361814414215831, 0.063362689596420801, 0.06336360315299186, 0.063364555555316504, 0.063365547293124394, 0.063366578874510027, 0.063367650825948821, 0.063368763692304708, 0.063369918036828385, 0.063371114441145071, 0.063372353505231016, 0.063373635847375653, 0.063374962104130059, 0.063376332930238088, 0.063377748998549935, 0.063379210999915433, 0.063380719643054861, 0.063382275654406378, 0.063383879777945823, 0.063385532774978395, 0.063387235423897792, 0.063388988519911607, 0.06339079287472868, 0.06339264931620589, 0.063394558687950478, 0.063396521848874524, 0.063398539672698109, 0.06340061304739561, 0.06340274287458221, 0.063404930068834936, 0.063407175556943446, 0.063409480277085178, 0.063411845177919868, 0.063414271217595186, 0.063416759362660349, 0.063419310586878178, 0.063421925869929507, 0.063424606196002445, 0.063427352552257787, 0.063430165927162996, 0.063433047308684404, 0.063435997682329825, 0.063439018029029889, 0.06344210932284923, 0.063445272528514812, 0.063448508598751702, 0.063451818471412305, 0.063455203066387911, 0.06345866328228851, 0.063462199992877652, 0.06346581404324772, 0.063469506245720869, 0.063473277375460962, 0.063477128165779981, 0.063481059303123408, 0.063485071421717595, 0.063489165097863232, 0.063493340843857021, 0.063497599101524388, 0.063501940235347692, 0.063506364525170486, 0.063510872158463544, 0.063515463222134624, 0.063520137693867731, 0.063524895432975598, 0.063529736170754164, 0.063534659500324372, 0.063539664865953138, 0.063544751551844539, 0.063549918670395181, 0.063555165149913384, 0.063560489721799951, 0.063565890907200454, 0.063571367003135329, 0.063576916068124822, 0.063582535907332122, 0.063588224057250814, 0.063593977769976412, 0.063599793997104914, 0.063605669373316062, 0.063611600199705465, 0.063617582426944, 0.063623611638356684, 0.063629683033022674, 0.063635791409018386, 0.063641931146937794, 0.063648096193844456, 0.063654280047822573, 0.063660475743320427, 0.063666675837491221, 0.063672872397763841, 0.063679056990889132, 0.063685220673733611, 0.063691353986108756, 0.063697446945944244, 0.063703489047131884, 0.063709469260382373, 0.063715376037451962, 0.063721197319106027, 0.063726920547194879, 0.063732532681218951, 0.063738020219760494, 0.063743369227147254, 0.063748565365702031, 0.063763088006735177, 0.063775689340017039, 0.063785946958843695, 0.063793446271196347, 0.06379780412670398, 0.06379869617174698, 0.063795886207723779, 0.063789255091890804, 0.063778826215412796, 0.063764784505286665, 0.06374748635345362, 0.063727458887323868, 0.063705388420983625, 0.063682099494527772, 0.06365852728984403, 0.06363568711508498, 0.063614644916873853, 0.063596492419544334, 0.063582329665865772, 0.063573256690038854, 0.06357037504192814, 0.063574799093378931, 0.063587676597028242, 0.063610217856353013, 0.06364373306815832, 0.063689677860071334, 0.063749707723791085, 0.063825742941839944, 0.063920046803867828, 0.064035321634843878, 0.06417482992044872, 0.064342552725119448, 0.064543407129666511, 0.064783564274656341, 0.065070953472252488, 0.065416140030406841, 0.065834015089333786, 0.066347385910811352, 0.066995352633476543, 0.0678547242467121, 0.069100356879812627, 0.071195770022400712, 0.07559106111125187, 0.087849081699048343, 0.13588907728256058, 0.37241178250759072, 0.5370943840243072, 0.34709697239999726, 0.27526809436569316, 0.25461041575622712, 0.25396090025549911, 0.26232945867496327, 0.27411899298512848, 0.28530844095433044, 0.29264332150110084, 0.29374990605661411, 0.28744117493846127, 0.27389928482929937, 0.25458712399743771, 0.23182248690414431, 0.20810943420092126, 0.18550892653101025, 0.16531287625412824, 0.14806158616144685, 0.13375704136987537, 0.12210530280035348, 0.11269935498139892, 0.10512682443612223, 0.099020447637468395, 0.094074233689204825, 0.090042473492169386, 0.086731819179252906, 0.083991670137421981, 0.081705175321224607, 0.079781651820390848, 0.07815052485908594, 0.076756619828511244, 0.075556560225648092, 0.074516032289122264, 0.073607713214033102, 0.072809701125333207, 0.072104322192958967, 0.071477220699694408, 0.070916661576244502, 0.070412992897381649, 0.069958229270199512, 0.069545727009999891, 0.069169929363752491, 0.068826165481124926, 0.068510490857458584, 0.068219559958397111, 0.067950523958524647, 0.067700948188314722, 0.067468745132146749, 0.067252119762675422, 0.067049524712013989, 0.066859623325671635, 0.066681259063418527, 0.066513430033578208, 0.066355267696954712, 0.066206018971061195, 0.066065031117516645, 0.065931738915234656, 0.065805653716740603, 0.06568635406027179, 0.065573477570524175, 0.065466713929340559, 0.065365798736814515, 0.065270508115188072, 0.065180653934083246, 0.065096079557217884, 0.065016656028720143, 0.064942278632226166, 0.064872863768653394, 0.06480834610932848, 0.064748675990344576, 0.064693817021880068, 0.064643743892904851, 0.064598440357402226, 0.064557897392995209, 0.064522111526823439, 0.064491083326679619, 0.064464816057859878, 0.064443314507953306, 0.064426583982919894, 0.064414629478377061, 0.064407455030050187, 0.06440506324694395, 0.06440665774031902, 0.064411440269979151, 0.064419408006319109, 0.064430556305755143, 0.064444878818669282, 0.064462367639146673, 0.064483013495149732, 0.0645068059774066, 0.064533733804955959, 0.064563785124972475, 0.064596947844196409, 0.064633209989016421, 0.064672560090991524, 0.064714987594343326, 0.06476048328170067, 0.064809039714107203, 0.06486065168102538, 0.064915316655724059, 0.06497303525105029, 0.06503381167009599, 0.065097654145663486, 0.065164575361680716, 0.065234592848758557, 0.065307729344904808, 0.065384013110923248, 0.065463478188201238, 0.065546164584351779, 0.065632118369443895, 0.06572139166225438, 0.065814042482021648, 0.065910134436472589, 0.06600973621135249, 0.066112920820217913, 0.066219764565777814, 0.066330345655576245, 0.06644474240527333, 0.066563030952313626, 0.066685282391579573, 0.06681155923307007, 0.066941911070359628, 0.067076369338505762, 0.067214941032554099, 0.067357601254762395, 0.067504284462724523, 0.067654874305139556, 0.067809191961378301, 0.06796698295052081, 0.068127902451355984, 0.068291499283630847, 0.068457198849291689, 0.068624285526081255, 0.068791885247360407, 0.068958949289047236, 0.069124240606622644, 0.069286324400337954, 0.069443564898401297, 0.069594130582422808, 0.069736010166510654, 0.069867041498835838, 0.069984955098353285, 0.070087433201872495, 0.07017218394983292, 0.070237028721252259, 0.07027999876646561, 0.070299435404833965, 0.070294086460361185, 0.070263190645458939, 0.070206541581598336, 0.070124524254528559, 0.070018118935034498, 0.069888870716417362, 0.069738826381567018, 0.06957044374771916, 0.069386481382261375, 0.069189878210820219, 0.06898363285262317, 0.068770691581856114, 0.068553851912914507, 0.068335686359171241, 0.068118488360239038, 0.067904240083983408, 0.06769460003372231, 0.06749090723457711, 0.06729419822084555, 0.067105232999933595, 0.066924526488125302, 0.066752382454266276, 0.066588927643165999, 0.066434144385956032, 0.06628790057772263, 0.066149976380618966, 0.066020087382858542, 0.065897904214994585, 0.065783068807701434, 0.065675207586517764, 0.06557394195564821, 0.065478896440283055, 0.065389704847792177, 0.065306014782675864, 0.065227490815777417, 0.065153816570305653, 0.065084695949200022, 0.065019853692499824, 0.064959035420870434, 0.06490200729283889, 0.064848555378702655, 0.064798484833319223, 0.064751618932731472, 0.064707798025437899, 0.064666878437647332, 0.06462873136266728, 0.064593241757281442, 0.064560307262244904, 0.064529837159578371, 0.064501751375920069, 0.06447597953859846, 0.064452460089138505, 0.064431139457476555, 0.064411971299109624, 0.064394915796660415, 0.064379939026813493, 0.064367012393228853, 0.064356112125796505, 0.064347218846454474, 0.064340317201693961, 0.064335395561822578, 0.064332445787030429, 0.064331463060279051], [0.065260246500424363, 0.06526244335408142, 0.065269036307685019, 0.065280032651883452, 0.06529544491523212, 0.065315291436238238, 0.065339597176243339, 0.06536839478604009, 0.065401725944078018, 0.065439642990145028, 0.065482210885860009, 0.065529509542590889, 0.065581636569116281, 0.06563871050618314, 0.065700874634032624, 0.06576830146325606, 0.065841198050739597, 0.065919812323303226, 0.066004440645206219, 0.066095436936540783, 0.066193223744046265, 0.06629830579323355, 0.066411286724037608, 0.066532889950818255, 0.066663984919805575, 0.066805620505773752, 0.066959067959867849, 0.067125876792808251, 0.06730794841099709, 0.067507634472548941, 0.067727870214930389, 0.06797235812949802, 0.068245825533188642, 0.068554392962102875, 0.068906112811383258, 0.069311776697605049, 0.069786160232411104, 0.070350005298863844, 0.071033297433789208, 0.071880928293917637, 0.072963005280931539, 0.074394852473804146, 0.076378984224153013, 0.079302442424145123, 0.083994258685025941, 0.092542252228580452, 0.11168469399233023, 0.17457184001191955, 0.53278306339914727, 0.18836879988140606, 0.082307512508729086, 0.066936712379198585, 0.0632742389154589, 0.062304702584158315, 0.062157503860160002, 0.062297701343023974, 0.062541083607038306, 0.062816761491127679, 0.063095775940384416, 0.063366136265683562, 0.063623100219415543, 0.063865080297490218, 0.06409181985345011, 0.06430355042844163, 0.064500597490110084, 0.064683201203042121, 0.064851445436240968, 0.065005244523369643, 0.065144363225004998, 0.065268457389670992, 0.065377128172210697, 0.065469984682487936, 0.065546710292064075, 0.065607127493054376, 0.065651255826738517, 0.065679357434096683, 0.065691965506756239, 0.065689892414332041, 0.06567421641437865, 0.065646248285192652, 0.065607481522379552, 0.065559531480700886, 0.065504069723833686, 0.065442759769121006, 0.065377199496080257, 0.065308873997939804, 0.065239120934104847, 0.065169108804069106, 0.065099827237891331, 0.065032087499279218, 0.064966530934405173, 0.064903643008471928, 0.064843770750787996, 0.06478714176952298, 0.06473388340577782, 0.064684041004001949, 0.064637594638745716, 0.064594473934861313, 0.064554570844298234, 0.064517750402465379, 0.064483859590925618, 0.064452734492910238, 0.06442420595533857, 0.064398103975722071, 0.064374261022559887, 0.064352514479655273, 0.064332708382565593, 0.064314694592045765, 0.064298333526741691, 0.064283494556585441, 0.064270056139880599, 0.064257905771098231, 0.064246939792885094, 0.064237063114521431, 0.064228188869815503, 0.064220238039912683, 0.064213139060472532, 0.064206827427873592, 0.064201245315339106, 0.064196341206940427, 0.064192069555171843, 0.064188390466069778, 0.064185269414559931, 0.06418267699176293, 0.064180588685308793, 0.064178984693235713, 0.06417784977173363, 0.064177173116803474, 0.064176948279801457, 0.064176982500487048, 0.064177085200622111, 0.064177256494480583, 0.064177496572647638, 0.064177805702214027, 0.064178184227046894, 0.064178632568139327, 0.064179151224037181, 0.064179740771344307, 0.064180401865306339, 0.064181135240472822, 0.064181941711438303, 0.064182822173663098, 0.064183777604371633, 0.064184809063532786, 0.064185917694917397, 0.064187104727236835, 0.064188371475360051, 0.064189719341610524, 0.064191149817141649, 0.06419266448338927, 0.064194265013603355, 0.064195953174453618, 0.064197730827710464, 0.064199599931998003, 0.064201562544616897, 0.064203620823433727, 0.064205777028832942, 0.064208033525728014, 0.06421039278562421, 0.064212857388728686, 0.064215430026098655, 0.064218113501819538, 0.064220910735202058, 0.064223824762986215, 0.064226858741537857, 0.064230015949021294, 0.064233299787529133, 0.06423671378514631, 0.06424026159792498, 0.064243947011739411, 0.064247773943988562, 0.064251746445108393, 0.064255868699850491, 0.064260145028277357, 0.064264579886418607, 0.064269177866523405, 0.064273943696837296, 0.064278882240819429, 0.064283998495707706, 0.064289297590325423, 0.064294784782008035, 0.064300465452514832, 0.06430634510277021, 0.064312429346261232, 0.064318723900892938, 0.06432523457907971, 0.064331967275820356, 0.06433892795447281, 0.064346122629907909, 0.064353557348681117, 0.064361238165814225, 0.064369171117726887, 0.064377362190801382, 0.064385817284997676, 0.064394542171860913, 0.064403542446185985, 0.064412823470505254, 0.064422390311469582, 0.064432247667070564, 0.064442399783528975, 0.064452850360526615, 0.064463602443299808, 0.064474658299936149, 0.064486019282013862, 0.064497685666509028, 0.064509656476650329, 0.064521929279136359, 0.064534499954839883, 0.064547362439808326, 0.064560508433027866, 0.064573927067061485, 0.064587604537292148, 0.064601523685121828, 0.064615663530105241, 0.064629998745660958, 0.064644499072741265, 0.064659128665718588, 0.064673845364849367, 0.064688599890149398, 0.064703334952578975, 0.064717984280400834, 0.064732471561964058, 0.064746709311718845, 0.06476059767518233, 0.06477402320265549, 0.064786857643595916, 0.064798956848130626, 0.064810159916346685, 0.064820288821051092, 0.064829148864017597, 0.064836530539380516, 0.064842213720686423, 0.064845975644118731, 0.064847605073056494, 0.06484692654805406, 0.06484384119386305, 0.064838394971787561, 0.064830893013401725, 0.064822092563932329, 0.064813532592514336, 0.064808106348331243, 0.064811077089722918, 0.064831926739711887, 0.064887824927842536, 0.065010378565496116, 0.065259336788675126, 0.065751853508037278, 0.066728772353701657, 0.068715477462651664, 0.072943770414493667, 0.08254835675254113, 0.10609504570175839, 0.16602739986267595, 0.28968319902369521, 0.39170700827837446, 0.38897585908017385, 0.37497411161603439, 0.38897585908021065, 0.39170700827838073, 0.28968319902374029, 0.16602739986268419, 0.10609504570173553, 0.082548356752550164, 0.072943770414486506, 0.068715477462650429, 0.066728772353701532, 0.065751853508036473, 0.06525933678867496, 0.065010378565495866, 0.064887824927842494, 0.064831926739711943, 0.064811077089722932, 0.064808106348331354, 0.064813532592514281, 0.064822092563932079, 0.064830893013401919, 0.0648383949717877, 0.064843841193862953, 0.064846926548054115, 0.06484760507305648, 0.064845975644118745, 0.064842213720686437, 0.064836530539380474, 0.064829148864017666, 0.064820288821051106, 0.064810159916346644, 0.064798956848130751, 0.064786857643595888, 0.064774023202655462, 0.064760597675182371, 0.064746709311718914, 0.064732471561964058, 0.064717984280400764, 0.064703334952578934, 0.064688599890149426, 0.064673845364849367, 0.064659128665718657, 0.064644499072741307, 0.064629998745660888, 0.064615663530105311, 0.064601523685121856, 0.064587604537292079, 0.064573927067061485, 0.064560508433027866, 0.064547362439808367, 0.064534499954839869, 0.0645219292791364, 0.064509656476650398, 0.064497685666508944, 0.064486019282013807, 0.064474658299936163, 0.064463602443299808, 0.064452850360526545, 0.064442399783529017, 0.064432247667070564, 0.064422390311469513, 0.064412823470505171, 0.064403542446185902, 0.064394542171860927, 0.064385817284997662, 0.064377362190801479, 0.064369171117726873, 0.064361238165814239, 0.064353557348681104, 0.064346122629907881, 0.064338927954472741, 0.064331967275820412, 0.064325234579079696, 0.064318723900892882, 0.064312429346261246, 0.064306345102770279, 0.064300465452514902, 0.064294784782008021, 0.064289297590325395, 0.064283998495707706, 0.06427888224081936, 0.06427394369683731, 0.064269177866523489, 0.064264579886418566, 0.064260145028277302, 0.064255868699850477, 0.064251746445108407, 0.064247773943988576, 0.064243947011739425, 0.064240261597924952, 0.064236713785146254, 0.064233299787529119, 0.064230015949021294, 0.064226858741537857, 0.064223824762986187, 0.064220910735202072, 0.064218113501819551, 0.064215430026098697, 0.064212857388728631, 0.06421039278562421, 0.064208033525727931, 0.064205777028832928, 0.064203620823433741, 0.064201562544616925, 0.064199599931997947, 0.064197730827710422, 0.064195953174453591, 0.064194265013603313, 0.064192664483389311, 0.064191149817141607, 0.064189719341610593, 0.064188371475360106, 0.064187104727236835, 0.064185917694917369, 0.064184809063532799, 0.064183777604371717, 0.064182822173663057, 0.064181941711438359, 0.064181135240472809, 0.064180401865306325, 0.064179740771344335, 0.06417915122403714, 0.064178632568139299, 0.064178184227046908, 0.064177805702213972, 0.06417749657264768, 0.064177256494480625, 0.06417708520062218, 0.064176982500487062, 0.06417694827980136, 0.064176965389309532, 0.064177016726854927, 0.064177102319502605, 0.064177222212367296, 0.064177376468623773, 0.064177565169520695, 0.064177788414397863, 0.064178046320707977, 0.0641783390240417, 0.064178666678155874, 0.064179029455005698, 0.064179427544779219, 0.064179861155935838, 0.064180330515246103, 0.064180835867835129, 0.06418137747722738, 0.06418195562539368, 0.064182570612799056, 0.064183222758452646, 0.064183912399956466, 0.064184639893556411, 0.064185405614191088, 0.064186209955540571, 0.064187053330073351, 0.064187936169091256, 0.064188858922771236, 0.064189822060203197, 0.064190826069424334, 0.064191871457446939, 0.064192958750280166, 0.064194088492945098, 0.064195261249480357, 0.064196477602938701, 0.064197738155372192, 0.064199043527805713, 0.064200394360195798, 0.064201791311374948, 0.064203235058978014, 0.064204726299350506, 0.064206265747435723, 0.064207854136638334, 0.06420949221866426, 0.064211180763331377, 0.064212920558351427, 0.064214712409077973, 0.06421655713821961, 0.064218455585513798, 0.064220408607358545, 0.064222417076398211, 0.064224481881059961, 0.064226603925036901, 0.064228784126712749, 0.064231023418524519, 0.06423332274625769, 0.064235683068268948, 0.064238105354630676, 0.064240590586192359, 0.064243139753550518, 0.064245753855923446, 0.064248433899921353, 0.064251180898205945, 0.064253995868030989, 0.064256879829655569, 0.064259833804622038, 0.06426285881388831, 0.064265955875805872, 0.064269126003932531, 0.064272370204669887, 0.06427568947471328, 0.064279084798303743, 0.064282557144268407, 0.064286107462837042, 0.064289736682221404, 0.064293445704943455, 0.064297235403897327, 0.064301106618130807, 0.064305060148330886, 0.064309096751996669, 0.064313217138284293, 0.064317421962506421, 0.064321711820270466, 0.064326087241237229, 0.064330548682483002, 0.06433509652144985, 0.064339731048463522, 0.064344452458806142, 0.064349260844324685, 0.064354156184561903, 0.06435913833739311, 0.06436420702915846, 0.064369361844276093, 0.064374602214328586, 0.064379927406614842, 0.064385336512161412, 0.064390828433194713, 0.064396401870071993, 0.064402055307683281, 0.064407787001331027, 0.064413594962106996, 0.064419476941790954, 0.064425430417299576, 0.06443145257472753, 0.064437540293026535, 0.064443690127382158, 0.064449898292356284, 0.064456160644876609, 0.064462472667168591, 0.064468829449736503, 0.064475225674517828, 0.064481655598351451, 0.064488113036917052, 0.064494591349319133, 0.064501083423513059, 0.064507581662783711, 0.064514077973514744, 0.064520563754498897, 0.064527029888067161, 0.06453346673332952, 0.064539864121841733, 0.064546211356028962, 0.06455249721071353, 0.064558709938108069, 0.06456483727664443, 0.064570866464017287, 0.064576784254821371, 0.064582576943161718, 0.064588230390602033, 0.064593730059805649, 0.064609155918446307, 0.064622645728484085, 0.064633773189409646, 0.064642121246091866, 0.064647306235265059, 0.06464900576639282, 0.064646988584748502, 0.064641143933994255, 0.064631507440968905, 0.064618280470854661, 0.064601840371213151, 0.064582740045333153, 0.064561696727338636, 0.064539571403282064, 0.064517341706150172, 0.06449607202185878, 0.064476884820170471, 0.064460936880352843, 0.06444940327714474, 0.064443470973542902, 0.064444342883636763, 0.06445325251460951, 0.064471488879361744, 0.064500431315677356, 0.064541594124875215, 0.06459668150179898, 0.064667654028958216, 0.064756809049017178, 0.064866878576530465, 0.065001150238694821, 0.065163619431489628, 0.065359185262721747, 0.065593910729337582, 0.065875383078732544, 0.066213243362690327, 0.066620029740533424, 0.067112662715051966, 0.06771537385152239, 0.068466176566665149, 0.069432782560012632, 0.070755970613314123, 0.072780952428061499, 0.076506829763139994, 0.085375409393330326, 0.11380719887108376, 0.23074746302976565, 0.53303001306780817, 0.51673629808548505, 0.41752087516875319, 0.38339450533146219, 0.38354362264457409, 0.39922294580959145, 0.41990153947416803, 0.43842516549825172, 0.4499019287170874, 0.45124392362859467, 0.44057315109011141, 0.41712513046151023, 0.3820180615093553, 0.33892831949490276, 0.29329798361216231, 0.25027303592311717, 0.21306333025358878, 0.18271604818367659, 0.15882767647038401, 0.14035938107672519, 0.12616622589341769, 0.11523821481321087, 0.10676803015971802, 0.10014094094889893, 0.094899627275548695, 0.090706984522382531, 0.087314767889095674, 0.084539461841111357, 0.082244488735752033, 0.080327353697107792, 0.078710430856360258, 0.077334366768428225, 0.076153343159773873, 0.075131655979712622, 0.07424122753140304, 0.07345978282809032, 0.072769501638098061, 0.072156013619621442, 0.0716076428209068, 0.071114834881856187, 0.070669719185020907, 0.070265771493651819, 0.069897552013264974, 0.069560500506644612, 0.069250774893776318, 0.068965123238166254, 0.068700781547367931, 0.068455391668416729, 0.068226934927726746, 0.068013678183438689, 0.067814129721185584, 0.067627002999713207, 0.067451186689667209, 0.067285719782642028, 0.067129770804197589, 0.06698262036301586, 0.066843646422800607, 0.066712311804388857, 0.066588153520716939, 0.066470773622654286, 0.066359831293805266, 0.066255035980563662, 0.066156141382613831, 0.066062940160713429, 0.065975259244513348, 0.065892955644549153, 0.065815912690324926, 0.065744036631298505, 0.065677253550119052, 0.065615506548088356, 0.065558753171834738, 0.065506963057833309, 0.065460115777888656, 0.065418198874097402, 0.06538120607629308, 0.065349135698568372, 0.065321989214265547, 0.065299770010875974, 0.065282482327636365, 0.06527013037934995, 0.065262717670125717, 0.065260246500424363, 0.065261893914719912, 0.065266835232535791, 0.065275067701681608, 0.065286586811701464, 0.065301386407964054, 0.065319458849985704, 0.065340795212614475, 0.065365385528332959, 0.065393219068602126, 0.065424284661850587, 0.06545857104541411, 0.065496067248461368, 0.065536763002681658, 0.065580649177263986, 0.065627718234453306, 0.065677964701706337, 0.065731385656198849, 0.065787981217093894, 0.06584775504059566, 0.065910714812320303, 0.065976872730895239, 0.066046245975925788, 0.066118857152471747, 0.066194734702945027, 0.066273913275774393, 0.066356434038248507, 0.066442344918561019, 0.066531700759149173, 0.066624563359853006, 0.066721001385127737, 0.066821090104391356, 0.066924910928488873, 0.067032550698078064, 0.067144100671386153, 0.067259655149203304, 0.067379309664109918, 0.067503158648853451, 0.067631292485673775, 0.067763793824561366, 0.067900733044547412, 0.068042162719124763, 0.068188110936224317, 0.068338573316891443, 0.06849350357776926, 0.068652802494506573, 0.068816305151192997, 0.068983766410963696, 0.06915484462229711, 0.069329083692324503, 0.069505893821035475, 0.069684531405964048, 0.06986407890031246, 0.070043425737556064, 0.070221251812292995, 0.070396015407156329, 0.070565947838156465, 0.070729057394371381, 0.070883145289866792, 0.07102583622713815, 0.071154625688682485, 0.071266945139273494, 0.07136024489410904, 0.071432092523588425, 0.07148028246804819, 0.0715029502897261, 0.071498683063308019, 0.07146661622005776, 0.071406507094899971, 0.071318776716763413, 0.071204514026219079, 0.071065440411937256, 0.070903836683870694, 0.070722438653414085, 0.070524310687423986, 0.070312708436620255, 0.070090942191060795, 0.069862251087804167, 0.069629696055253987, 0.069396076440837742, 0.069163872264706897, 0.068935211407133976, 0.068711859046665394, 0.068495225423702635, 0.068286387471060139, 0.068086119896603264, 0.067894931749444415, 0.067713105177202831, 0.067540733841958883, 0.067377759200729886, 0.067224003506698327, 0.067079198918140723, 0.066943012506170532, 0.066815067239191603, 0.066694959209010946, 0.066582271471534255, 0.066476584924000034, 0.066377486648444006, 0.066284576131884682, 0.066197469738644862, 0.066115803767253456, 0.066039236379056954, 0.065967448641559567, 0.065900144888720008, 0.065837052564052145, 0.065777921680780366, 0.065722524006447736, 0.06567065205693505, 0.06562211796637224, 0.065576752284409817, 0.065534402740248826, 0.065494933003241357, 0.065458221462332961, 0.065424160040751272, 0.065392653057835606, 0.065363616146469405, 0.065336975232007932, 0.065312665576690659, 0.065290630892150925, 0.065270822521655558, 0.065253198693029188, 0.065237723842762621, 0.065224368011518818, 0.06521310631106754, 0.065203918462594296, 0.065196788406279169, 0.065191703982033791, 0.06518865668129839, 0.065187641469811861], [0.066116117538485675, 0.06611838691552703, 0.066125197634491303, 0.066136557578224578, 0.06615248028433994, 0.066172985550875904, 0.066198100297314225, 0.066227859695006511, 0.066262308586462287, 0.066301503219526686, 0.066345513330598238, 0.066394424621168111, 0.066448341684752138, 0.066507391457520576, 0.066571727286669574, 0.066641533737249528, 0.066717032292710809, 0.06679848814946758, 0.066886218364986913, 0.066980601697415251, 0.067082090579764941, 0.06719122581359499, 0.06730865476085994, 0.067435154080176099, 0.067571658427704365, 0.067719297072321188, 0.067879441134901061, 0.068053765269318209, 0.068244329243633856, 0.068453687353589629, 0.068685037402178253, 0.068942426946423399, 0.069231044099946237, 0.069557635986461974, 0.069931124760191948, 0.070363538113888346, 0.070871456639072475, 0.071478342331809927, 0.072218434510339713, 0.073143576450340655, 0.07433585699384089, 0.07593265051747107, 0.078180555525900169, 0.08156478668370204, 0.087167460174031472, 0.09788140566632049, 0.12399327259864, 0.22547684842730992, 0.58892924275841463, 0.13351239602880716, 0.076285459947253678, 0.066212398208489759, 0.06364715362143758, 0.062997107411075712, 0.062962783094234337, 0.063148013201190512, 0.063411020991541903, 0.063696020665907654, 0.063980017631392133, 0.064253547285302595, 0.064512981340549419, 0.064757226207306937, 0.064986232180249681, 0.065200298939145446, 0.065399750147287605, 0.065584787402733574, 0.065755435871488563, 0.065911539933482699, 0.066052788527539194, 0.066178759781698376, 0.066288978800715243, 0.06638298390711958, 0.066460396628463508, 0.066520990156781007, 0.066564750485531551, 0.066591924403373928, 0.066603049275773721, 0.066598961149299557, 0.066580780011348928, 0.066549873666417778, 0.066507804169502721, 0.066456262622581211, 0.066396999068176393, 0.066331754104499346, 0.066262197829876454, 0.066189880100409479, 0.06611619422467066, 0.066042354463938774, 0.065969386298787763, 0.065898127480736132, 0.065829237416133737, 0.065763212354659512, 0.065700404064219384, 0.065641040050359145, 0.06558524382138646, 0.065533054137280056, 0.065484442566212234, 0.065439328985713419, 0.065397594901777309, 0.065359094624663966, 0.065323664446251248, 0.065291130023583208, 0.065261312199195412, 0.065234031491527372, 0.065209111476740036, 0.065186381262875251, 0.065165677233050154, 0.065146844209253985, 0.0651297361642071, 0.065114216586706256, 0.065100158586419016, 0.065087444807337538, 0.065075967204970789, 0.065065626730620274, 0.065056332956479015, 0.065048003667520324, 0.065040564439923954, 0.065033948220853552, 0.065028094920535878, 0.065022951024586495, 0.065018469232222653, 0.065014608124254983, 0.065011331863447569, 0.065008609928878427, 0.065006416885254423, 0.065004732187665823, 0.065003540021962569, 0.065002829180755006, 0.065002592974955115, 0.06500262905293841, 0.065002737327139362, 0.065002917918353845, 0.065003171028049436, 0.065003496938578542, 0.065003896013475435, 0.065004368697839932, 0.065004915518805981, 0.065005537086096396, 0.065006234092664608, 0.065007007315422652, 0.065007857616056555, 0.065008785941930408, 0.065009793327076501, 0.065010880893277084, 0.06501204985123249, 0.065013301501820581, 0.06501463723744462, 0.065016058543472019, 0.065017566999762508, 0.065019164282285338, 0.065020852164827517, 0.065022632520789145, 0.065024507325067218, 0.06502647865602583, 0.065028548697550911, 0.065030719741187112, 0.065032994188353871, 0.065035374552638039, 0.065037863462156509, 0.065040463661985626, 0.0650431780166493, 0.065046009512658931, 0.065048961261095425, 0.065052036500222579, 0.065055238598119389, 0.065058571055315997, 0.065062037507416529, 0.065065641727687418, 0.065069387629590303, 0.065073279269230802, 0.065077320847692799, 0.06508151671322375, 0.065085871363229603, 0.065090389446033264, 0.065095075762344176, 0.065099935266377473, 0.06510497306655548, 0.065110194425711518, 0.065115604760708004, 0.065121209641368097, 0.065127014788604706, 0.065133026071618014, 0.065139249504012786, 0.065145691238669867, 0.065152357561181623, 0.065159254881638318, 0.065166389724523779, 0.065173768716447186, 0.065181398571403149, 0.065189286073213198, 0.065197438054756029, 0.065205861373544741, 0.065214562883154303, 0.065223549399938768, 0.065232827664406676, 0.065242404296548206, 0.065252285744314312, 0.065262478224355658, 0.065272987654014056, 0.065283819573442425, 0.065294979056588431, 0.065306470609629033, 0.065318298055275795, 0.065330464401182869, 0.065342971690489179, 0.065355820832299294, 0.065369011409664307, 0.065382541462355975, 0.065396407241443327, 0.06541060293236993, 0.065425120342912896, 0.065439948552068375, 0.065455073515578444, 0.065470477623494991, 0.065486139204901941, 0.065502031974712938, 0.065518124417397725, 0.065534379102637222, 0.065550751928399945, 0.065567191287964205, 0.065583637159254499, 0.065600020117972391, 0.06561626028102166, 0.065632266194678338, 0.06564793369437627, 0.065663144782275945, 0.065677766598679341, 0.065691650609740512, 0.065704632206105618, 0.065716531020061392, 0.065727152446698703, 0.065736291137279135, 0.065743737686559486, 0.065749290471788832, 0.065752775810638334, 0.065754081621604329, 0.065753213185314102, 0.065750385491491661, 0.065746177002693085, 0.065741788249088759, 0.065739482854389741, 0.065743353170278282, 0.065760678313049423, 0.065804394793214399, 0.065897725494839937, 0.066083150756755804, 0.066440475481264527, 0.067124812438465242, 0.068450242951293622, 0.071082914055607307, 0.076503484337103037, 0.088110351003434853, 0.11347040169300875, 0.16562835757168068, 0.24789997394107052, 0.32124328365226584, 0.34648650636922423, 0.32124328365218502, 0.24789997394107194, 0.16562835757170097, 0.11347040169301205, 0.088110351003423806, 0.076503484337107908, 0.071082914055603144, 0.068450242951292845, 0.067124812438465242, 0.066440475481264069, 0.066083150756755665, 0.065897725494839701, 0.06580439479321433, 0.065760678313049478, 0.065743353170278324, 0.065739482854389852, 0.065741788249088662, 0.065746177002692835, 0.065750385491491897, 0.065753213185314241, 0.065754081621604246, 0.065752775810638403, 0.06574929047178879, 0.065743737686559542, 0.06573629113727919, 0.065727152446698633, 0.065716531020061461, 0.065704632206105631, 0.065691650609740498, 0.065677766598679466, 0.065663144782275959, 0.06564793369437627, 0.065632266194678393, 0.065616260281021757, 0.065600020117972363, 0.065583637159254388, 0.065567191287964177, 0.065550751928399972, 0.065534379102637222, 0.06551812441739778, 0.065502031974712979, 0.065486139204901886, 0.06547047762349506, 0.06545507351557843, 0.065439948552068319, 0.065425120342912868, 0.065410602932369957, 0.065396407241443355, 0.065382541462355961, 0.065369011409664363, 0.065355820832299363, 0.065342971690489082, 0.065330464401182814, 0.065318298055275809, 0.065306470609629019, 0.06529497905658839, 0.065283819573442467, 0.065272987654014028, 0.065262478224355561, 0.065252285744314242, 0.065242404296548137, 0.065232827664406676, 0.065223549399938754, 0.065214562883154401, 0.065205861373544741, 0.065197438054756029, 0.065189286073213171, 0.065181398571403121, 0.065173768716447131, 0.065166389724523835, 0.065159254881638318, 0.065152357561181568, 0.065145691238669881, 0.065139249504012828, 0.065133026071618097, 0.065127014788604734, 0.065121209641368083, 0.065115604760708004, 0.065110194425711462, 0.065104973066555508, 0.065099935266377543, 0.065095075762344162, 0.065090389446033237, 0.065085871363229575, 0.065081516713223764, 0.065077320847692813, 0.065073279269230816, 0.065069387629590289, 0.065065641727687348, 0.065062037507416529, 0.065058571055316025, 0.065055238598119375, 0.065052036500222551, 0.065048961261095439, 0.065046009512658959, 0.065043178016649342, 0.065040463661985556, 0.065037863462156495, 0.06503537455263797, 0.065032994188353871, 0.065030719741187126, 0.065028548697550953, 0.065026478656025788, 0.065024507325067177, 0.065022632520789075, 0.065020852164827503, 0.065019164282285394, 0.06501756699976248, 0.065016058543472088, 0.065014637237444661, 0.065013301501820595, 0.065012049851232462, 0.065010880893277084, 0.06500979332707657, 0.065008785941930353, 0.065007857616056625, 0.065007007315422638, 0.065006234092664608, 0.065005537086096424, 0.065004915518805967, 0.065004368697839945, 0.065003896013475462, 0.065003496938578501, 0.065003171028049464, 0.065002917918353872, 0.065002737327139404, 0.06500262905293841, 0.065002592974955031, 0.065002611013048175, 0.065002665136667762, 0.065002755373837026, 0.065002881771267673, 0.065003044394370463, 0.065003243327269603, 0.065003478672820067, 0.065003750552629996, 0.065004059107086232, 0.065004404495383167, 0.065004786895555514, 0.065005206504513524, 0.065005663538082278, 0.065006158231042235, 0.065006690837173475, 0.065007261629301288, 0.065007870899344039, 0.065008518958361863, 0.065009206136607253, 0.06500993278357467, 0.065010699268052252, 0.065011505978171222, 0.065012353321455094, 0.06501324172486718, 0.065014171634855539, 0.065015143517395069, 0.065016157858025045, 0.065017215161883288, 0.065018315953733155, 0.06501946077798465, 0.065020650198708035, 0.065021884799638122, 0.06502316518416873, 0.065024491975335372, 0.06502586581578601, 0.065027287367736358, 0.065028757312910065, 0.065030276352460462, 0.065031845206873398, 0.065033464615848177, 0.065035135338154207, 0.065036858151462748, 0.065038633852148753, 0.065040463255062853, 0.065042347193268013, 0.065044286517740524, 0.065046282097029784, 0.065048334816875164, 0.065050445579774935, 0.065052615304504333, 0.065054844925578587, 0.065057135392655563, 0.065059487669874475, 0.065061902735124688, 0.065064381579240105, 0.065066925205112633, 0.065069534626720049, 0.06507221086805956, 0.065074954961983261, 0.065077767948926016, 0.065080650875519133, 0.065083604793081923, 0.065086630755982033, 0.065089729819856543, 0.065092903039683375, 0.065096151467694388, 0.065099476151117747, 0.065102878129741609, 0.065106358433283898, 0.065109918078559884, 0.065113558066432181, 0.065117279378531262, 0.065121082973733119, 0.065124969784379094, 0.065128940712223665, 0.065132996624094525, 0.065137138347250448, 0.065141366664418957, 0.065145682308499209, 0.065150085956911935, 0.065154578225580337, 0.065159159662524294, 0.065163830741049894, 0.065168591852519511, 0.065173443298682077, 0.065178385283549994, 0.065183417904804655, 0.065188541144716991, 0.065193754860566763, 0.06519905877455065, 0.065204452463164919, 0.06520993534605582, 0.065215506674330279, 0.065221165518321786, 0.065226910754814127, 0.065232741053721524, 0.065238654864238993, 0.065244650400470949, 0.065250725626559425, 0.065256878241338134, 0.065263105662542828, 0.065269405010622839, 0.065275773092201103, 0.065282206383246361, 0.065288701012027647, 0.065295252741936524, 0.06530185695427565, 0.065308508631124029, 0.065315202338408207, 0.0653219322093231, 0.065328691928265764, 0.06533547471545903, 0.065342273312468724, 0.065349079968829757, 0.065355886430023893, 0.065362683927066248, 0.065369463167982311, 0.065376214331475099, 0.065382927063100643, 0.065389590474288758, 0.065396193144560549, 0.065402723127308243, 0.065409167959511419, 0.065415514675772349, 0.065421749827050985, 0.065427859504481087, 0.065433829368633012, 0.065439644684577761, 0.065456010971556677, 0.06547042783446938, 0.065482465205763368, 0.065491703746218946, 0.065497759525604049, 0.065500312446744757, 0.065499136633990762, 0.065494130281467916, 0.065485341972063751, 0.065472990417002219, 0.065457475050098732, 0.065439375944350966, 0.065419442958433341, 0.065398575597323858, 0.065377796459331783, 0.065358222057872548, 0.065341035095126884, 0.065327461938519391, 0.065318758270346805, 0.065316204890784199, 0.06532111470606905, 0.065334851222747195, 0.065358858507232914, 0.065394702589566839, 0.065444124669219686, 0.065509107176742354, 0.065591954726119658, 0.065695393262100638, 0.065822692324647353, 0.065977817465350697, 0.066165622750454553, 0.066392097550904389, 0.066664688664214239, 0.066992730963303937, 0.067388043774579715, 0.067865802691995047, 0.068445921962984116, 0.069155505408536655, 0.070033811059035639, 0.07114377230133348, 0.07260225244773541, 0.074668702591923625, 0.078033466934250756, 0.084861381980799858, 0.10297821269357776, 0.16269690992070052, 0.34262878938346869, 0.54619541032634245, 0.56644322787909818, 0.55036849273217359, 0.55122058204845659, 0.56094441793520455, 0.56984593977728848, 0.5748892347563761, 0.57782436661482917, 0.58091217090936509, 0.58333600329283308, 0.57925830680064128, 0.55865478067259688, 0.51333524138203768, 0.44573921986359361, 0.36952957800638014, 0.2993069547720939, 0.24247051034079303, 0.19964165784632165, 0.16837111827287427, 0.14570774794003802, 0.12918388010720741, 0.1169815819267965, 0.10782735937960708, 0.10084408575128403, 0.095427995424808024, 0.091160293911248094, 0.08774705170030106, 0.084979142504315944, 0.08270563584383743, 0.080816039420245331, 0.079228337765368972, 0.077880842240035969, 0.07672656810931397, 0.075729305047468123, 0.07486083583676148, 0.074098943119111513, 0.073425963672365049, 0.072827727695687516, 0.072292772004271852, 0.071811750296470508, 0.071376986747115817, 0.070982134917293285, 0.070621914813924935, 0.070291908484176449, 0.06998839984368907, 0.069708248214510146, 0.069448787758735031, 0.069207746956552602, 0.068983183711286616, 0.068773432720473121, 0.06857706253668569, 0.068392840329141572, 0.068219702800007637, 0.068056732045698273, 0.067903135410688181, 0.067758228579409205, 0.067621421305273433, 0.067492205295579227, 0.067370143865028195, 0.067254863044850219, 0.067146043893607649, 0.067043415803067871, 0.066946750630711455, 0.06685585752147466, 0.066770578306727418, 0.066690783389459662, 0.066616368042076657, 0.066547249057780686, 0.066483361708780025, 0.066424656974914953, 0.066371099015021987, 0.066322662860724704, 0.066279332318471232, 0.06624109807071521, 0.06620795597121773, 0.066179905532635128, 0.066156948606925864, 0.066139088260704082, 0.066126327848604088, 0.066118670288031936, 0.066116117538485675, 0.066117819335620318, 0.066122923831489475, 0.066131428363819786, 0.066143328576378849, 0.066158618539600381, 0.066177290918042211, 0.066199337183292295, 0.066224747870567202, 0.066253512876911072, 0.066285621798588309, 0.066321064304967522, 0.06635983054593074, 0.066401911589590176, 0.066447299886856812, 0.066495989759173063, 0.066547977905467542, 0.066603263924131767, 0.066661850845483081, 0.066723745669801257, 0.066788959905531617, 0.066857510101623524, 0.066929418367181304, 0.067004712870579616, 0.067083428308911258, 0.06716560633699753, 0.067251295943145092, 0.067340553756298868, 0.067433444266100873, 0.067530039933530614, 0.067630421165146226, 0.067734676118332796, 0.067842900298261746, 0.067955195899326873, 0.068071670834506506, 0.068192437385317356, 0.068317610392673783, 0.068447304895074154, 0.068581633105235101, 0.068720700599885137, 0.068864601580519741, 0.06901341304647593, 0.069167187707206063, 0.069325945450331647, 0.069489663179033503, 0.069658262840823049, 0.069831597495290748, 0.07000943531805931, 0.070191441520421075, 0.070377158288736377, 0.07056598302498919, 0.07075714540961614, 0.070949684116743933, 0.071142424391327119, 0.071333958138217204, 0.071522628650508388, 0.071706522573379769, 0.071883472089676687, 0.072051070527582486, 0.072206704509791692, 0.07234760525963839, 0.072470920640477873, 0.072573807869181328, 0.072653544644566775, 0.07270765382947561, 0.072734034133128955, 0.072731086903314104, 0.072697827669162926, 0.072633970946545931, 0.072539978325145166, 0.072417062999325627, 0.072267148330492165, 0.072092783066645169, 0.071897020645438736, 0.071683273741550785, 0.071455157283568618, 0.071216333319065461, 0.070970369503143463, 0.070720620097208378, 0.070470134830841746, 0.070221597441049957, 0.069977292668132518, 0.069739098260897511, 0.069508497221402982, 0.069286605028682571, 0.069074206746094324, 0.068871799522397609, 0.068679636836180114, 0.068497771739476174, 0.068326097212119824, 0.068164382474693336, 0.068012304695298453, 0.06786947596200911, 0.067735465693895186, 0.067609818852224876, 0.067492070415234376, 0.067381756618440827, 0.067278423458054654, 0.067181632923639947, 0.067090967379801983, 0.067006032463825305, 0.066926458812546386, 0.066851902880846331, 0.066782047067958691, 0.066716599327207304, 0.066655292399996457, 0.066597882785632112, 0.066544149534369296, 0.066493892931353507, 0.066446933123242957, 0.066403108726647772, 0.066362275447563054, 0.066324304733214948, 0.066289082471762434, 0.066256507750754715, 0.066226491681830327, 0.066198956296623868, 0.066173833517015931, 0.066151064201566023, 0.066130597269072638, 0.066112388899612615, 0.066096401813038039, 0.066082604624697699, 0.066070971278039362, 0.066061480553725432, 0.06605411565490224, 0.066048863868306121, 0.066045716300948465, 0.066044667692173209], [0.066964300777669142, 0.066966644446068785, 0.06697367824675679, 0.066985410692485703, 0.067001856394071413, 0.067023036701655936, 0.067048980616739279, 0.067079725990281475, 0.067115321028064404, 0.067155826131667914, 0.067201316112275117, 0.067251882825579964, 0.067307638290050972, 0.06736871836857225, 0.067435287116220169, 0.067507541926229306, 0.067585719644220527, 0.067670103870446918, 0.067761033735277573, 0.067858914520166014, 0.067964230613083168, 0.068077561445611265, 0.06819960127557817, 0.068331183979383064, 0.068473314439325056, 0.068627208709882384, 0.068794346009936891, 0.068976536851376877, 0.069176013495135733, 0.069395551776060674, 0.069638637744332099, 0.069909699532447439, 0.070214436121284154, 0.070560293398344617, 0.070957169948742613, 0.071418491750055157, 0.071962899247436721, 0.072616990560445918, 0.073419968875587646, 0.074431907512925721, 0.075749332060319433, 0.077536775226023882, 0.080096681025745534, 0.084043370022634734, 0.0908096488111651, 0.10449455520372371, 0.14142579695542207, 0.31556556437300332, 0.40605378011826498, 0.10594784766080968, 0.072740953539852118, 0.065938913822271517, 0.06413812248939324, 0.063725716108183492, 0.063778634590148348, 0.063999514838661148, 0.06427833664267546, 0.064571004316407096, 0.064859246009085991, 0.06513562535233236, 0.065397412724145398, 0.06564390942620707, 0.065875224581751116, 0.066091701244892345, 0.066293647544414802, 0.066481218047581739, 0.066654373220100913, 0.06681288257976814, 0.066956354767399848, 0.067084285882677716, 0.067196120808129756, 0.067291323153232913, 0.06736944911908653, 0.067430219794853793, 0.067473585735073976, 0.067499777582927828, 0.067509337287928781, 0.067503126188692392, 0.067482308713590247, 0.067448313293058004, 0.067402774751434802, 0.067347464446183364, 0.067284215399342734, 0.06721484951705986, 0.067141112866979338, 0.067064623212369237, 0.066986831991054166, 0.066909001045225361, 0.066832192913339014, 0.066757272508969748, 0.066684917532843377, 0.066615634908822829, 0.066549780778284412, 0.066487582002921444, 0.06642915760644251, 0.066374539053988338, 0.066323688677895412, 0.066276515888397336, 0.066232891054616966, 0.066192657112272707, 0.066155639062733043, 0.066121651587673858, 0.066090505027986537, 0.066062009976096819, 0.066035980716418044, 0.066012237725893999, 0.06599060942016928, 0.065970933303909823, 0.06595305665810472, 0.06593683687384419, 0.065922141521571012, 0.065908848227231559, 0.065896844411987704, 0.065886026939935741, 0.065876301708308729, 0.065867583206596803, 0.065859794064605168, 0.065852864604396044, 0.065846732407099207, 0.065841341902505637, 0.065836643987011584, 0.065832595673707972, 0.065829159777096219, 0.065826304633950811, 0.065824003861175789, 0.06582223615104224, 0.06582098510390047, 0.065820239098298428, 0.065819991198362821, 0.065820029191191565, 0.065820143212174137, 0.065820333388845895, 0.065820599933919852, 0.065820943145519423, 0.065821363407502803, 0.065821861189881967, 0.065822437049334936, 0.065823091629812064, 0.065823825663237953, 0.065824639970308019, 0.06582553546138166, 0.065826513137472287, 0.065827574091333968, 0.065828719508647993, 0.06582995066930683, 0.065831268948799093, 0.065832675819693875, 0.065834172853227277, 0.065835761720989691, 0.065837444196714653, 0.065839222158171173, 0.065841097589156808, 0.065843072581593012, 0.065845149337721787, 0.065847330172402241, 0.065849617515505832, 0.06585201391440805, 0.065854522036574575, 0.065857144672236995, 0.065859884737155719, 0.065862745275462903, 0.065865729462580236, 0.065868840608203222, 0.065872082159342274, 0.065875457703410426, 0.065878970971343737, 0.065882625840739423, 0.065886426338992887, 0.065890376646414145, 0.065894481099297908, 0.065898744192919495, 0.065903170584424353, 0.065907765095573223, 0.065912532715300079, 0.065917478602033688, 0.065922608085725268, 0.065927926669519299, 0.065933440030991414, 0.065939154022871233, 0.065945074673153747, 0.065951208184489823, 0.065957560932733056, 0.065964139464501428, 0.06597095049359615, 0.065978000896095873, 0.065985297703923196, 0.065992848096652193, 0.066000659391295471, 0.0660087390297769, 0.066017094563756429, 0.066025733636432452, 0.06603466396089748, 0.066043893294571263, 0.066053429409175163, 0.066063280055642479, 0.066073452923289033, 0.066083955592478691, 0.06609479547993205, 0.066105979775715959, 0.066117515370842789, 0.066129408774275492, 0.066141666017994746, 0.066154292548631005, 0.066167293103985766, 0.066180671572585045, 0.066194430834197432, 0.066208572579026237, 0.066223097103046316, 0.066238003076696236, 0.06625328728386462, 0.066268944327829551, 0.066284966300520498, 0.066301342411194453, 0.066318058570358815, 0.066335096924561743, 0.066352435337538179, 0.066370046813203104, 0.066387898856195129, 0.066405952766211168, 0.066424162863414307, 0.06644247564397926, 0.066460828867770133, 0.066479150584773342, 0.066497358114124716, 0.066515357000681993, 0.066533039991151607, 0.066550286097900965, 0.066566959858696775, 0.066582910962377936, 0.066597974506152027, 0.066611972299395056, 0.066624715863393219, 0.066636012148716325, 0.066645673588930671, 0.066653535078292178, 0.066659482054155991, 0.066663496522147578, 0.066665732364951213, 0.066666639038346603, 0.066667166395467936, 0.066669107833731395, 0.06667568379177731, 0.066692551810481934, 0.066729591543578701, 0.066804133979053687, 0.066946956572211405, 0.06721372768651844, 0.067707487298637251, 0.068623998289732091, 0.070344944916755803, 0.073628650138862703, 0.079975326268981059, 0.09215980869252198, 0.11418407302840022, 0.1476536273301228, 0.18271314772490624, 0.19822427169791934, 0.1827131477248517, 0.14765362733012205, 0.11418407302840577, 0.09215980869252377, 0.07997532626897487, 0.073628650138865478, 0.070344944916753194, 0.068623998289731619, 0.067707487298637348, 0.067213727686518204, 0.066946956572211253, 0.066804133979053451, 0.066729591543578617, 0.066692551810481962, 0.066675683791777365, 0.066669107833731547, 0.066667166395467853, 0.066666639038346326, 0.066665732364951422, 0.06666349652214773, 0.066659482054155922, 0.066653535078292248, 0.066645673588930657, 0.066636012148716367, 0.066624715863393261, 0.066611972299395042, 0.066597974506152111, 0.06658291096237795, 0.066566959858696761, 0.066550286097901118, 0.066533039991151594, 0.066515357000682007, 0.066497358114124758, 0.066479150584773439, 0.066460828867770105, 0.06644247564397919, 0.066424162863414279, 0.066405952766211196, 0.066387898856195129, 0.066370046813203187, 0.066352435337538207, 0.066335096924561687, 0.06631805857035887, 0.066301342411194467, 0.066284966300520429, 0.066268944327829551, 0.066253287283864634, 0.066238003076696264, 0.06622309710304633, 0.066208572579026292, 0.066194430834197474, 0.066180671572584976, 0.066167293103985697, 0.066154292548631033, 0.06614166601799476, 0.066129408774275422, 0.066117515370842844, 0.066105979775715945, 0.066094795479931953, 0.066083955592478621, 0.066073452923288936, 0.066063280055642493, 0.066053429409175149, 0.066043893294571346, 0.066034663960897494, 0.066025733636432493, 0.066017094563756415, 0.066008739029776858, 0.066000659391295416, 0.065992848096652235, 0.065985297703923196, 0.065978000896095818, 0.065970950493596164, 0.06596413946450147, 0.065957560932733139, 0.065951208184489837, 0.065945074673153747, 0.065939154022871233, 0.065933440030991358, 0.065927926669519327, 0.065922608085725337, 0.065917478602033647, 0.065912532715300065, 0.065907765095573181, 0.065903170584424395, 0.065898744192919509, 0.065894481099297922, 0.065890376646414117, 0.065886426338992832, 0.065882625840739437, 0.06587897097134375, 0.065875457703410426, 0.065872082159342232, 0.065868840608203236, 0.065865729462580277, 0.065862745275462931, 0.06585988473715565, 0.065857144672236967, 0.065854522036574478, 0.06585201391440805, 0.065849617515505859, 0.065847330172402241, 0.065845149337721745, 0.065843072581592985, 0.065841097589156766, 0.065839222158171146, 0.065837444196714709, 0.065835761720989663, 0.065834172853227318, 0.065832675819693931, 0.065831268948799093, 0.06582995066930683, 0.06582871950864802, 0.065827574091334051, 0.065826513137472273, 0.065825535461381701, 0.065824639970308019, 0.065823825663237925, 0.065823091629812078, 0.065822437049334923, 0.065821861189881967, 0.065821363407502803, 0.065820943145519367, 0.065820599933919879, 0.065820333388845922, 0.065820143212174193, 0.065820029191191579, 0.065819991198362696, 0.065820010193812326, 0.065820067189828635, 0.065820162215416547, 0.065820295318924318, 0.065820466568054001, 0.065820676049876431, 0.065820923870848702, 0.065821210156837243, 0.06582153505314374, 0.065821898724534769, 0.065822301355275073, 0.065822743149163698, 0.065823224329573965, 0.065823745139494863, 0.065824305841576156, 0.065824906718174828, 0.065825548071404005, 0.065826230223182236, 0.0658269535152851, 0.065827718309395614, 0.065828524987156689, 0.065829373950221121, 0.065830265620301587, 0.065831200439218363, 0.065832178868944768, 0.065833201391649304, 0.065834268509733215, 0.065835380745864286, 0.065836538643003442, 0.065837742764424903, 0.065838993693728726, 0.065840292034843498, 0.06584163841201901, 0.065843033469806397, 0.065844477873026178, 0.065845972306719999, 0.065847517476086873, 0.065849114106400305, 0.065850762942905622, 0.0658524647506947, 0.065854220314555761, 0.065856030438796981, 0.06585789594703953, 0.065859817681979418, 0.065861796505113146, 0.065863833296425867, 0.065865928954037908, 0.065868084393805981, 0.065870300548875424, 0.06587257836917991, 0.065874918820884032, 0.06587732288576395, 0.065879791560521789, 0.065882325856028046, 0.065884926796487303, 0.065887595418520517, 0.065890332770158974, 0.065893139909741369, 0.065896017904709503, 0.065898967830293573, 0.065901990768079705, 0.065905087804451992, 0.065908260028899185, 0.065911508532179114, 0.065914834404328174, 0.065918238732508752, 0.065921722598681592, 0.065925287077093858, 0.065928933231568967, 0.065932662112588664, 0.065936474754151875, 0.065940372170398762, 0.065944355351985173, 0.06594842526219416, 0.065952582832767795, 0.065956828959445518, 0.065961164497192998, 0.065965590255103901, 0.065970106990959468, 0.065974715405427806, 0.065979416135886801, 0.065984209749852363, 0.06598909673799469, 0.065994077506726978, 0.065999152370346745, 0.066004321542716363, 0.066009585128464512, 0.06601494311369531, 0.06602039535618931, 0.06602594157508658, 0.066031581340038364, 0.066037314059820634, 0.066043138970403287, 0.066049055122470279, 0.066055061368394882, 0.066061156348668895, 0.066067338477801898, 0.066073605929699575, 0.066079956622543942, 0.066086388203204061, 0.066092898031209851, 0.066099483162335548, 0.066106140331843616, 0.066112865937455023, 0.066119656022119638, 0.066126506256674877, 0.066133411922495666, 0.066140367894249458, 0.066147368622890002, 0.066154408119037916, 0.066161479936916054, 0.066168577159021649, 0.066175692381743798, 0.066182817702147262, 0.066189944706170303, 0.066197064458499155, 0.066204167494406954, 0.066211243813861217, 0.066218282878224038, 0.066225273609886781, 0.066232204395195296, 0.066239063091035957, 0.066245837035460123, 0.066252513062733123, 0.066259077523190699, 0.066265516308286032, 0.066271814881194005, 0.066277958313326363, 0.066295303546402742, 0.066310687757067319, 0.066323677291410213, 0.066333850758724333, 0.066340824259235223, 0.066344280367078623, 0.066343999063235765, 0.066339888092524585, 0.066332009744410933, 0.066320601009807037, 0.066306084564391771, 0.066289069074664794, 0.066270338771625886, 0.06625083381973243, 0.066231624402717709, 0.066213882372712543, 0.066198854612090852, 0.066187841952042706, 0.066182186738828169, 0.066183271183061956, 0.066192527721797595, 0.066211461967012011, 0.066241688525179629, 0.06628498009156758, 0.066343330738844922, 0.066419035203797758, 0.066514787212323054, 0.066633801491489494, 0.066779966171534741, 0.066958034923081514, 0.067173871644867433, 0.067434765212107173, 0.067749838429117609, 0.068130585364542237, 0.068591588115053961, 0.06915149669900017, 0.069834429358077044, 0.070672139259279079, 0.0717078258846678, 0.0730040772510515, 0.074662560308046161, 0.076880297875499784, 0.080127964596561504, 0.08575590693495469, 0.098107482167694354, 0.13109314449285475, 0.21669236920821544, 0.35806789460720156, 0.4623340267744121, 0.49729550199948674, 0.49591308154016417, 0.4787783148727397, 0.45737658286507027, 0.44002071001095716, 0.43217164179153816, 0.43713493345938687, 0.45708413894098299, 0.49294175960381353, 0.54139778495461621, 0.58749926893796389, 0.59935766852521344, 0.54928366534680062, 0.45249675002706258, 0.35148678707054393, 0.2712824905250707, 0.21458314153024591, 0.17589739339963556, 0.14944489005802208, 0.13102994222144018, 0.117906357421317, 0.10832306265131279, 0.10115967936308197, 0.095688191428566785, 0.09142594999631258, 0.088046086417199146, 0.085322536599813523, 0.083095797449525333, 0.081251204758399323, 0.07970488631268785, 0.078394502865468285, 0.077273031306963724, 0.076304516595479252, 0.075461120609920468, 0.074721039968882824, 0.074067015508190309, 0.073485250752734321, 0.072964617167920298, 0.072496063203196279, 0.072072169984347387, 0.071686813785369383, 0.071334907115411392, 0.071012198290315437, 0.070715114940703205, 0.070440640832530502, 0.070186218164651148, 0.069949669510299045, 0.069729135021380922, 0.069523021577212726, 0.069329961344068367, 0.06914877779626874, 0.068978457688201433, 0.068818127798482592, 0.068667035520354622, 0.06852453256651192, 0.068390061206588568, 0.068263142572310379, 0.068143366656845464, 0.068030383707116171, 0.067923896765248834, 0.067823655161309893, 0.067729448796570751, 0.067641103086684237, 0.067558474458862733, 0.067481446317533431, 0.067409925409882818, 0.067343838536860517, 0.067283129567089386, 0.067227756721099416, 0.067177690101681634, 0.06713290945311047, 0.067093402137734903, 0.067059161323065331, 0.06703018437611398, 0.067006471464471404, 0.066988024365477891, 0.066974845486006365, 0.066966937095853607, 0.066964300777669142, 0.066966058283238483, 0.066971329938632015, 0.066980113185626938, 0.066992403846039161, 0.067008196249289206, 0.067027483409567629, 0.067050257251207251, 0.067076508880498861, 0.067106228901853221, 0.0671394077759013, 0.067176036216835266, 0.067216105626037762, 0.067259608558805972, 0.067306539220752193, 0.067356893990243194, 0.067410671963003849, 0.067467875514764589, 0.067528510877513798, 0.067592588724547667, 0.067660124759025428, 0.067731140300111126, 0.067805662859982976, 0.067883726703940508, 0.067965373384511946, 0.068050652238756712, 0.068139620835807671, 0.068232345359014013, 0.068328900903701778, 0.06842937166745322, 0.068533851004780336, 0.068642441311961663, 0.068755253700474361, 0.068872407408695296, 0.068994028891183432, 0.069120250512757414, 0.069251208760587005, 0.069387041871595889, 0.069527886754701299, 0.069673875068033117, 0.069825128290857366, 0.069981751609424186, 0.070143826416921323, 0.070311401212473812, 0.070484480676047914, 0.070663012699864747, 0.070846873178763273, 0.071035848409914226, 0.071229615036378632, 0.071427717600878557, 0.071629543968628515, 0.07183429914369828, 0.072040978352098106, 0.072248340700390767, 0.07245488523364163, 0.07265883178587719, 0.072858109590260831, 0.073050357114513298, 0.073232936895676573, 0.073402969123616005, 0.073557387206303879, 0.073693017397726449, 0.073806682694310247, 0.073895328630988633, 0.073956165515870365, 0.073986818402051693, 0.073985473245422581, 0.073951005869787187, 0.073883080142531532, 0.073782203528688861, 0.073649731945370778, 0.073487821147530955, 0.073299327911152554, 0.073087669992826051, 0.072856658222753737, 0.07261031640974791, 0.072352704739338303, 0.072087760256242417, 0.071819164448554365, 0.071550243688853529, 0.071283904111467108, 0.071022599008515597, 0.070768324344471542, 0.070522636598306696, 0.070286686726425268, 0.070061264367311166, 0.069846847213608176, 0.069643651514281868, 0.069451680747031092, 0.069270770490769656, 0.069100628359224744, 0.068940868504122607, 0.068791040665202821, 0.068650654057089505, 0.068519196569931329, 0.068396149852588892, 0.068281000871804137, 0.068173250521199658, 0.068072419807875595, 0.067978054084782302, 0.067889725732849099, 0.067807035633828089, 0.067729613716375384, 0.06765711880579818, 0.067589237962785598, 0.067525685458251355, 0.067466201499673278, 0.067410550798333344, 0.067358521045877612, 0.067309921351880478, 0.067264580680893263, 0.067222346317164422, 0.067183082377280212, 0.067146668384929969, 0.067112997917459769, 0.067081977330516962, 0.067053524564649719, 0.067027568035993162, 0.067004045611983018, 0.066982903672247948, 0.066964096254342687, 0.066947584283705605, 0.066933334887103846, 0.066921320788797242, 0.066911519788702911, 0.066903914321913227, 0.066898491099021934, 0.066895240826820815, 0.066894158009028565], [0.067798591233525218, 0.067801010812265056, 0.067808272564810868, 0.067820385673789729, 0.067837365891190771, 0.067859236217316279, 0.06788602786684407, 0.06791778153866293, 0.067954549012555751, 0.067996395103615812, 0.068043400014942579, 0.068095662141239674, 0.068153301391217155, 0.068216463116152842, 0.068285322756898928, 0.068360091353806593, 0.068441022105897753, 0.068528418220434914, 0.068622642366455822, 0.068724128142354679, 0.068833394097425102, 0.06895106102377313, 0.069077873477509502, 0.069214726825326991, 0.069362701587276504, 0.069523107523979194, 0.069697540897335472, 0.069887959776316899, 0.070096784417464197, 0.070327033038546746, 0.070582508418794349, 0.070868058893814478, 0.071189950573873395, 0.071556409832483986, 0.071978433501074676, 0.072471032872038807, 0.073055205368241047, 0.073761176406120385, 0.074633964003119307, 0.07574343103113966, 0.077203600397487235, 0.079212704318463903, 0.082144624704659705, 0.086785743455026321, 0.095064256845699149, 0.11294196661264663, 0.16756404526488447, 0.46986828925065494, 0.24567918487523777, 0.091112552884034997, 0.070656775079221801, 0.065964709110621855, 0.064708692185405509, 0.064475216408943437, 0.064595964423672658, 0.064845101297706431, 0.065136635354876071, 0.065435584775265648, 0.06572743303240576, 0.066006374254435479, 0.066270401830092363, 0.066519129609781166, 0.066752784752095118, 0.066971732199166009, 0.067176252262926089, 0.067366444598666544, 0.067542199131233729, 0.067703205544362266, 0.067848987522006757, 0.067978954579855505, 0.068092466926779435, 0.068188909248592944, 0.068267768670507475, 0.068328711149161656, 0.068371649742068094, 0.068396798061464287, 0.06840470304095303, 0.068396252996628493, 0.068372659648913717, 0.068335415844835379, 0.068286233606465158, 0.068226969276448154, 0.068159543559363586, 0.068085864062771534, 0.068007756694352967, 0.067926910339289839, 0.067844837067619512, 0.067762848103173262, 0.067682044198646846, 0.067603318029731879, 0.067527365737358749, 0.067454704714497146, 0.0673856950158426, 0.06732056222725763, 0.067259420152562269, 0.067202292177185707, 0.067149130603357463, 0.067099833598911252, 0.067054259659247883, 0.067012239658618897, 0.06697358667699238, 0.066938103847908853, 0.066905590495286799, 0.066875846825147273, 0.066848677421106326, 0.066823893767128245, 0.066801315992287072, 0.066780774003259574, 0.06676210814290684, 0.06674516948860558, 0.066729819882406075, 0.066715931766677131, 0.066703387883478557, 0.066692080883192534, 0.066681912877604152, 0.066672794964308169, 0.066664646742706196, 0.066657395836646205, 0.066650977434698527, 0.066645333855929065, 0.066640414146643151, 0.066636173711780211, 0.066632573983314583, 0.066629582127058926, 0.066627170788597562, 0.066625317878628992, 0.066624006397716082, 0.066623224300295811, 0.066622964397742762, 0.066623004361237748, 0.06662312429653601, 0.066623324338127968, 0.066623604710332004, 0.066623965727547307, 0.066624407794607016, 0.066624931407233884, 0.066625537152597752, 0.066626225709975825, 0.066626997851516892, 0.066627854443109619, 0.066628796445355867, 0.066629824914651428, 0.066630941004371697, 0.066632145966168482, 0.066633441151373846, 0.066634828012516037, 0.066636308104945974, 0.066637883088577335, 0.066639554729739994, 0.066641324903147253, 0.066643195593980381, 0.066645168900087384, 0.066647247034299126, 0.066649432326861741, 0.066651727227985638, 0.06665413431051008, 0.066656656272681955, 0.066659295941048746, 0.066662056273460807, 0.066664940362181999, 0.066667951437103551, 0.066671092869056287, 0.066674368173214801, 0.06667778101258591, 0.066681335201571976, 0.066685034709597871, 0.066688883664788062, 0.0666928863576772, 0.066697047244937649, 0.06670137095309954, 0.066705862282239334, 0.066710526209606852, 0.06671536789315656, 0.066720392674943174, 0.066725606084336267, 0.066731013841000747, 0.066736621857584083, 0.066742436242039654, 0.066748463299508634, 0.06675470953367027, 0.066761181647457202, 0.066767886543019711, 0.06677483132080525, 0.066782023277603589, 0.066789469903385273, 0.066797178876739985, 0.066805158058695052, 0.066813415484665295, 0.066821959354253238, 0.066830798018583118, 0.066839939964809941, 0.066849393797399723, 0.066859168215726836, 0.066869271987476914, 0.066879713917277692, 0.066890502809914862, 0.066901647427402761, 0.066913156439100244, 0.066925038363957259, 0.066937301503874419, 0.066949953867035825, 0.066963003079943489, 0.066976456286740274, 0.066990320034243975, 0.067004600140948833, 0.067019301548059296, 0.067034428150421099, 0.067049982604999545, 0.067065966114328787, 0.067082378182116792, 0.067099216337954612, 0.067116475827836697, 0.067134149266977361, 0.067152226251212199, 0.067170692923132991, 0.067189531489049228, 0.067208719682954249, 0.067228230173966522, 0.06724802991432538, 0.0672680794261072, 0.067288332026605044, 0.067308732995146045, 0.067329218688483877, 0.067349715618579775, 0.067370139516693364, 0.067390394422999711, 0.067410371864061264, 0.067429950215541032, 0.067448994400907403, 0.06746735615862097, 0.067484875236341668, 0.067501382066671362, 0.067516702786428864, 0.067530667948721493, 0.067543127057888341, 0.067553972323607811, 0.067563177110835454, 0.067570858028617162, 0.067577375464566145, 0.067583497452671254, 0.067590669392914776, 0.067601463536705056, 0.067620339106349153, 0.067654949173062348, 0.067718428385265983, 0.067833473468671399, 0.068039755357210879, 0.068407591887671634, 0.069063368755990756, 0.070236362193609819, 0.072340798631972847, 0.076098551342216714, 0.082633436621036949, 0.0931915914060501, 0.10767712829069459, 0.12197521296595785, 0.12821610699280958, 0.12197521296593646, 0.10767712829069398, 0.093191591406052321, 0.082633436621037809, 0.07609855134221355, 0.072340798631974373, 0.070236362193608168, 0.069063368755990465, 0.068407591887671759, 0.068039755357210796, 0.067833473468671288, 0.067718428385265761, 0.067654949173062265, 0.067620339106349195, 0.067601463536705098, 0.067590669392914929, 0.067583497452671157, 0.067577375464565881, 0.067570858028617356, 0.067563177110835634, 0.067553972323607714, 0.067543127057888411, 0.067530667948721451, 0.067516702786428892, 0.067501382066671389, 0.067484875236341613, 0.067467356158621039, 0.067448994400907389, 0.067429950215541004, 0.067410371864061402, 0.067390394422999697, 0.067370139516693378, 0.067349715618579817, 0.067329218688483974, 0.067308732995146003, 0.067288332026604933, 0.067268079426107158, 0.067248029914325408, 0.067228230173966522, 0.067208719682954304, 0.06718953148904927, 0.067170692923132921, 0.067152226251212269, 0.067134149266977361, 0.067116475827836614, 0.06709921633795457, 0.06708237818211682, 0.067065966114328815, 0.067049982604999545, 0.067034428150421141, 0.067019301548059365, 0.067004600140948736, 0.066990320034243933, 0.066976456286740288, 0.066963003079943489, 0.066949953867035769, 0.066937301503874475, 0.066925038363957273, 0.066913156439100174, 0.066901647427402691, 0.066890502809914806, 0.066879713917277719, 0.066869271987476886, 0.066859168215726919, 0.066849393797399709, 0.066839939964809969, 0.066830798018583118, 0.066821959354253224, 0.066813415484665239, 0.066805158058695122, 0.066797178876739971, 0.066789469903385218, 0.066782023277603603, 0.066774831320805306, 0.066767886543019794, 0.066761181647457202, 0.066754709533670256, 0.06674846329950862, 0.066742436242039571, 0.066736621857584083, 0.066731013841000816, 0.066725606084336239, 0.06672039267494316, 0.06671536789315656, 0.06671052620960688, 0.066705862282239334, 0.066701370953099554, 0.066697047244937635, 0.066692886357677145, 0.066688883664788062, 0.066685034709597898, 0.066681335201572003, 0.066677781012585854, 0.066674368173214815, 0.066671092869056314, 0.066667951437103593, 0.066664940362181929, 0.066662056273460793, 0.066659295941048663, 0.066656656272681927, 0.066654134310510108, 0.066651727227985666, 0.066649432326861671, 0.066647247034299112, 0.066645168900087357, 0.066643195593980353, 0.066641324903147309, 0.066639554729739939, 0.06663788308857739, 0.066636308104946029, 0.066634828012516065, 0.066633441151373832, 0.06663214596616851, 0.066630941004371766, 0.066629824914651414, 0.066628796445355937, 0.066627854443109605, 0.066626997851516892, 0.066626225709975839, 0.066625537152597739, 0.066624931407233884, 0.06662440779460703, 0.066623965727547266, 0.066623604710332032, 0.066623324338127995, 0.066623124296536052, 0.066623004361237775, 0.066622964397742651, 0.066622984378456776, 0.066623044330601289, 0.066623144284185573, 0.066623284289231824, 0.06662346441578626, 0.066623684753933959, 0.066623945413817137, 0.066624246525658348, 0.066624588239787452, 0.066624970726671368, 0.066625394176948557, 0.066625858801465654, 0.066626364831318313, 0.066626912517893641, 0.066627502132916017, 0.06662813396849461, 0.06662880833717312, 0.066629525571980111, 0.066630286026481605, 0.066631090074832061, 0.066631938111827979, 0.066632830552958558, 0.066633767834456223, 0.066634750413345059, 0.066635778767486525, 0.06663685339562192, 0.066637974817409948, 0.066639143573460333, 0.066640360225359949, 0.066641625355692291, 0.066642939568048926, 0.066644303487030834, 0.066645717758239117, 0.066647183048252942, 0.066648700044594875, 0.066650269455679131, 0.066651892010744007, 0.066653568459764292, 0.066655299573343374, 0.066657086142582006, 0.066658928978920673, 0.066660828913955916, 0.066662786799224091, 0.066664803505953357, 0.066666879924778127, 0.066669016965415079, 0.066671215556295599, 0.066673476644151838, 0.066675801193552431, 0.066678190186383338, 0.066680644621270546, 0.066683165512938264, 0.066685753891499167, 0.066688410801670372, 0.066691137301910369, 0.066693934463469981, 0.066696803369352547, 0.06669974511317403, 0.0667027607979193, 0.066705851534584262, 0.066709018440697251, 0.066712262638711314, 0.066715585254257387, 0.066718987414251071, 0.06672247024484064, 0.066726034869188405, 0.066729682405072252, 0.066733413962298482, 0.066737230639910911, 0.066741133523187182, 0.066745123680406304, 0.066749202159375312, 0.066753369983701002, 0.066757628148791562, 0.066761977617572993, 0.066766419315904768, 0.066770954127679277, 0.06677558288958732, 0.066780306385533797, 0.066785125340686216, 0.066790040415138752, 0.066795052197174506, 0.066800161196107807, 0.066805367834691376, 0.066810672441068447, 0.066816075240256637, 0.06682157634514492, 0.066827175746991554, 0.066832873305406645, 0.066838668737810525, 0.066844561608354267, 0.066850551316297135, 0.066856637083834616, 0.066862817943373815, 0.066869092724260781, 0.066875460038960444, 0.066881918268705945, 0.06688846554862847, 0.066895099752391607, 0.066901818476361188, 0.066908619023345051, 0.066915498385952066, 0.066922453229623258, 0.066929479875404513, 0.066936574282537298, 0.066943732030959241, 0.066950948303820979, 0.066958217870137643, 0.066965535067712079, 0.066972893786482982, 0.066980287452470422, 0.066987709012505767, 0.066995150919959501, 0.067002605121693551, 0.067010063046490861, 0.067017515595230864, 0.067024953133103402, 0.067032365484171227, 0.067039741928610355, 0.067047071202975095, 0.067054341503848383, 0.067061540495252731, 0.067068655320202328, 0.067075672616786472, 0.067082578539169241, 0.067089358783890884, 0.067095998621837599, 0.067102482936233651, 0.067120846733173894, 0.067137240035571144, 0.067151225828144839, 0.067162380945481506, 0.067170321858609078, 0.067174734231540398, 0.067175404417044809, 0.067172250345336817, 0.067165348795181698, 0.067154956002885291, 0.067141519077346584, 0.067125676747623486, 0.067108249427739852, 0.067090220173565071, 0.067072709508060768, 0.067056948026928548, 0.067044251016525946, 0.067035999034817523, 0.067033627685507413, 0.06703862890131794, 0.06705256519962359, 0.067077097786678003, 0.067114029191475286, 0.067165361359192904, 0.067233370832155956, 0.067320703785347588, 0.067430495274513835, 0.067566519151708596, 0.067733377818048626, 0.067936744495433049, 0.068183675253860682, 0.068483013932047782, 0.068845920676275651, 0.06928656446138394, 0.069823032171410712, 0.070478523139320695, 0.071282924839152745, 0.072274928922807236, 0.073505049263609956, 0.075040628798352826, 0.076976580673996695, 0.079465322803804458, 0.082814242056582277, 0.087817584599763424, 0.096822682425361295, 0.11634445641292879, 0.15827509962105005, 0.22315522763694776, 0.27972957545047844, 0.30357256628643253, 0.30101705556330544, 0.28686345386448298, 0.27151335644420255, 0.26025515330158555, 0.25545635033287895, 0.25850587119962659, 0.27106914683485611, 0.2959503208060843, 0.33773663825161321, 0.40245511364065789, 0.49211594639621681, 0.58422074506677601, 0.61038412638617101, 0.52795022045091999, 0.40113970679950445, 0.29650209465890393, 0.22605419560567086, 0.18079121077940666, 0.15137898476634465, 0.13168829039858498, 0.11805604655675571, 0.10831014809368675, 0.10113692187035998, 0.095719056758585053, 0.091532649083055598, 0.088232088127322986, 0.085583226374364871, 0.083423527426731217, 0.081637649216161221, 0.08014209058264482, 0.078875299086977324, 0.077791152082914469, 0.076854570469321273, 0.076038510372017601, 0.075321863212002696, 0.074687965884191923, 0.074123527843358905, 0.073617847665421413, 0.073162233604751117, 0.072749569902592945, 0.072373988574394199, 0.072030618448041789, 0.071715391413132559, 0.0714248914833399, 0.071156236210873969, 0.070906982771920063, 0.070675053026831025, 0.070458673291067669, 0.070256325596584762, 0.07006670799110537, 0.069888701992533622, 0.069721345742226326, 0.069563811722648805, 0.06941538814964654, 0.069275463337067092, 0.069143512476178406, 0.069019086384861039, 0.068901801869673748, 0.068791333413419975, 0.06868740595611178, 0.068589788581503788, 0.068498288957098225, 0.068412748404601834, 0.068333037501651803, 0.068259052135297496, 0.068190709944068575, 0.068127947099090869, 0.068070715386097755, 0.06801897955971252, 0.067972714949261936, 0.067931905301893858, 0.067896540854014073, 0.067866616626188703, 0.067842130939784015, 0.067823084155809191, 0.067809477637836735, 0.067801312941547232, 0.067798591233525218, 0.067800405661377086, 0.067805848123037457, 0.067814916180015297, 0.067827605858591711, 0.067843911784751576, 0.067863827371656513, 0.067887345058264825, 0.06791445659733393, 0.067945153390713747, 0.067979426869532317, 0.068017268916596998, 0.068058672328089612, 0.068103631311407856, 0.068152142015796988, 0.068204203092214713, 0.068259816278655586, 0.068318987006936172, 0.068381725026643303, 0.068448045041598612, 0.068517967353720469, 0.068591518508547292, 0.068668731935882327, 0.068749648577953792, 0.068834317496122552, 0.068922796445396256, 0.069015152403765337, 0.069111462040547689, 0.069211812104378892, 0.069316299707090773, 0.069425032474307924, 0.069538128526977702, 0.069655716250037802, 0.06977793379479108, 0.069904928250069165, 0.070036854403728754, 0.070173873000215811, 0.070316148381748073, 0.070463845380102752, 0.070617125303218301, 0.070776140836338347, 0.070941029652154958, 0.071111906499915514, 0.071288853522184337, 0.071471908533503839, 0.07166105099270649, 0.071856185417101801, 0.072057122031387671, 0.072263554528579702, 0.072475034958435436, 0.07269094596652273, 0.072910470900327679, 0.073132562691476791, 0.073355912922818012, 0.073578923090918069, 0.073799680753569324, 0.074015943954134328, 0.074225137948529307, 0.074424368692526666, 0.074610457603773384, 0.074780001598204915, 0.074929461128954072, 0.075055276805592153, 0.075154012150742466, 0.075222516363003103, 0.075258097036954102, 0.075258689298430465, 0.075223005527183515, 0.075150649495209318, 0.07504218082181012, 0.074899120153023177, 0.074723891876027307, 0.07451970844709517, 0.074290407243391324, 0.074040256000240154, 0.073773745500945329, 0.073495387964480755, 0.073209536854583201, 0.072920239398723732, 0.072631127950357074, 0.072345351390629878, 0.072065543737607568, 0.071793824373569654, 0.071531822863349387, 0.071280721040099193, 0.071041305577797392, 0.070814025323749641, 0.070599048939304312, 0.070396319674959601, 0.070205605247792485, 0.070026541724438091, 0.069858671022987845, 0.06970147214659965, 0.069554386582400443, 0.069416838479655379, 0.069288250298434384, 0.069168054626486619, 0.069055702823704559, 0.068950671089944779, 0.068852464476971173, 0.068760619288122993, 0.068674704235749881, 0.068594320659686486, 0.068519102051512681, 0.068448713079378845, 0.068382848266397053, 0.068321230441262509, 0.068263609051959898, 0.068209758411175561, 0.068159475924479823, 0.068112580338631268, 0.0680689100367773, 0.068028321399259017, 0.067990687242661524, 0.0679558953452611, 0.067923847063750084, 0.067894456043801801, 0.067867647025433533, 0.067843354743067949, 0.067821522919533722, 0.067802103352879339, 0.067785055094708738, 0.067770343718731932, 0.067757940678283807, 0.067747822751698092, 0.067739971574569416, 0.067734373258099612, 0.067731018092894099, 0.067729900337720111], [0.068608834417973996, 0.068611331290485911, 0.068618825159261432, 0.068631325919450856, 0.068648850536712477, 0.068671423766026168, 0.068699079174939393, 0.068731860489383803, 0.068769823287186602, 0.0688130370729131, 0.068861587778213634, 0.068915580745033983, 0.068975144265753449, 0.069040433775613683, 0.069111636820147496, 0.069188978955690067, 0.069272730787151474, 0.06936321640774834, 0.06946082358552913, 0.069566016148627424, 0.069679349165655657, 0.069801487714664337, 0.069933230305672237, 0.07007553840073609, 0.070229574011051829, 0.070396748117901004, 0.070578783780122167, 0.070777799439748573, 0.070996420417122105, 0.071237930387227422, 0.07150648057644686, 0.071807383942690692, 0.072147537245287385, 0.072536040345309291, 0.072985128188224363, 0.073511614296497399, 0.074139201649050052, 0.074902326896832058, 0.07585285049185235, 0.077072343643581856, 0.078696179461666876, 0.080964764641269393, 0.084344390856672558, 0.089854283355006601, 0.10013825384249551, 0.12413919404067968, 0.20948889814883376, 0.62224354819924144, 0.1637637065797608, 0.082662040855903743, 0.069469310184985839, 0.06618739961198826, 0.065326767323479001, 0.065229220733215382, 0.065402817731728541, 0.065674260272255619, 0.065975908866720903, 0.066279927247619302, 0.06657479195890198, 0.066856006098089255, 0.067122140767204519, 0.067373052695304247, 0.067609051691566086, 0.067830505374847014, 0.068037654828870558, 0.06823053713724779, 0.068408965754595347, 0.068572545315789574, 0.068720709566696347, 0.068852776520670456, 0.068968016883937111, 0.069065731837408495, 0.069145335339154665, 0.069206434892764845, 0.069248903781034002, 0.06927293756690657, 0.069279088529319979, 0.069268273699878646, 0.069241755073083167, 0.06920109389083276, 0.069148084018746503, 0.069084671733704028, 0.069012870322373618, 0.068934677642302059, 0.068852003414695301, 0.068766610908643819, 0.068680075324362877, 0.068593759018669251, 0.068508802031446284, 0.068426125294155912, 0.068346443414681782, 0.068270283927039335, 0.068198010219028521, 0.068129845856405857, 0.068065898586342849, 0.068006182840626372, 0.067950640020921951, 0.06789915621390101, 0.067851577252392617, 0.067807721220753334, 0.06776738861435351, 0.06773037042140688, 0.067696454415730578, 0.067665429944222727, 0.067637091472770236, 0.067611241126146179, 0.067587690426214347, 0.067566261401600408, 0.067546787212858464, 0.06752911241103772, 0.067513092924842075, 0.067498595852280338, 0.067485499116613529, 0.067473691033189162, 0.067463069823036556, 0.067453543100507801, 0.067445027355440584, 0.067437447444968102, 0.067430736105950462, 0.067424833495807399, 0.067419686767109147, 0.067415249679468658, 0.067411482250948659, 0.067408350450238783, 0.067405825930199004, 0.067403885802928776, 0.067402512456257238, 0.067401693411419467, 0.067401421221644997, 0.06740146320902457, 0.067401589218364255, 0.067401799391321668, 0.067402093964174584, 0.067402473268094884, 0.067402937729531279, 0.067403487870703424, 0.067404124310206232, 0.067404847763726253, 0.067405659044870822, 0.067406559066110677, 0.06740754883983717, 0.067408629479536672, 0.067409802201079796, 0.067411068324132684, 0.067412429273685626, 0.067413886581705371, 0.067415441888909258, 0.067417096946665755, 0.067418853619020266, 0.067420713884848604, 0.067422679840141483, 0.067424753700417631, 0.067426937803269985, 0.067429234611043914, 0.06743164671364936, 0.067434176831505932, 0.067436827818621842, 0.067439602665806384, 0.067442504504012971, 0.0674455366078133, 0.067448702398997959, 0.067452005450300875, 0.067455449489242397, 0.067459038402084823, 0.067462776237893415, 0.067466667212692899, 0.067470715713708398, 0.067474926303676658, 0.067479303725212672, 0.067483852905211097, 0.067488578959260123, 0.067493487196041868, 0.06749858312168755, 0.067503872444051857, 0.067509361076864907, 0.067515055143712713, 0.067520960981792055, 0.067527085145374074, 0.067533434408904552, 0.067540015769656833, 0.067546836449840775, 0.067553903898058626, 0.06756122578998261, 0.067568810028112991, 0.067576664740453915, 0.067584798277925226, 0.067593219210301245, 0.067601936320441453, 0.06761095859654713, 0.067620295222142884, 0.067629955563443797, 0.067639949153723691, 0.067650285674254601, 0.067660974931331191, 0.067672026828833012, 0.067683451335713768, 0.067695258447727197, 0.067707458142622204, 0.067720060327943157, 0.0677330747804748, 0.067746511076258037, 0.067760378509980609, 0.067774686002418177, 0.067789441994449973, 0.067804654326024533, 0.067820330098278245, 0.0678364755168335, 0.0678530957141147, 0.067870194548326532, 0.067887774376537813, 0.067905835799121086, 0.067924377372608979, 0.067943395287865069, 0.067962883010339384, 0.067982830879116427, 0.068003225661493333, 0.06802405006000653, 0.068045282169213878, 0.068066894880244991, 0.068088855232300002, 0.068111123712099347, 0.068133653505095482, 0.068156389706469742, 0.068179268506244589, 0.068202216372209953, 0.068225149268303364, 0.068247971966832799, 0.0682705775439644, 0.068292847194518794, 0.06831465057263994, 0.068335846972325878, 0.06835628782682579, 0.068375821261678266, 0.068394299836429501, 0.068411593243107499, 0.068427608741816665, 0.068442323751907633, 0.068455837701242028, 0.068468454692044614, 0.068480816040951881, 0.068494114548103752, 0.068510444492873523, 0.068533380173022865, 0.068568944633569731, 0.068627253198271565, 0.068725336147150845, 0.068892031922607733, 0.069176493713020093, 0.069662820793043811, 0.070494254191461492, 0.071909110223659853, 0.074279045712924999, 0.078096321356496468, 0.083752032452244413, 0.090871430858837809, 0.097433924537636829, 0.10019572360428032, 0.097433924537627406, 0.090871430858837907, 0.083752032452245398, 0.078096321356496787, 0.074279045712923084, 0.071909110223660574, 0.070494254191460437, 0.069662820793043659, 0.069176493713020246, 0.06889203192260776, 0.068725336147150748, 0.068627253198271357, 0.068568944633569676, 0.06853338017302292, 0.068510444492873551, 0.068494114548103904, 0.068480816040951797, 0.068468454692044323, 0.068455837701242223, 0.068442323751907799, 0.068427608741816581, 0.068411593243107582, 0.068394299836429459, 0.068375821261678307, 0.068356287826825804, 0.068335846972325795, 0.068314650572640023, 0.068292847194518808, 0.068270577543964373, 0.068247971966832952, 0.068225149268303337, 0.068202216372209953, 0.068179268506244645, 0.068156389706469811, 0.068133653505095454, 0.06811112371209925, 0.068088855232299988, 0.068066894880245032, 0.068045282169213864, 0.068024050060006599, 0.068003225661493374, 0.067982830879116329, 0.067962883010339467, 0.067943395287865097, 0.06792437737260891, 0.067905835799121059, 0.067887774376537841, 0.06787019454832656, 0.067853095714114672, 0.067836475516833555, 0.067820330098278314, 0.067804654326024436, 0.067789441994449917, 0.067774686002418177, 0.067760378509980596, 0.067746511076257968, 0.067733074780474856, 0.067720060327943143, 0.067707458142622148, 0.067695258447727127, 0.067683451335713712, 0.067672026828833026, 0.067660974931331178, 0.06765028567425467, 0.067639949153723691, 0.067629955563443839, 0.067620295222142884, 0.067610958596547074, 0.067601936320441397, 0.067593219210301314, 0.06758479827792524, 0.06757666474045386, 0.067568810028112991, 0.067561225789982693, 0.067553903898058709, 0.067546836449840775, 0.067540015769656805, 0.067533434408904525, 0.067527085145374005, 0.067520960981792083, 0.067515055143712796, 0.067509361076864879, 0.067503872444051816, 0.067498583121687536, 0.067493487196041882, 0.067488578959260151, 0.067483852905211097, 0.067479303725212644, 0.067474926303676588, 0.067470715713708412, 0.067466667212692941, 0.067462776237893429, 0.067459038402084767, 0.067455449489242425, 0.067452005450300931, 0.067448702398998001, 0.067445536607813217, 0.067442504504012957, 0.067439602665806272, 0.067436827818621842, 0.06743417683150596, 0.067431646713649374, 0.067429234611043873, 0.067426937803269915, 0.067424753700417589, 0.067422679840141442, 0.067420713884848674, 0.067418853619020225, 0.067417096946665811, 0.067415441888909328, 0.067413886581705343, 0.067412429273685612, 0.067411068324132684, 0.067409802201079866, 0.06740862947953663, 0.067407548839837239, 0.06740655906611065, 0.067405659044870808, 0.067404847763726294, 0.067404124310206218, 0.067403487870703424, 0.067402937729531293, 0.067402473268094842, 0.067402093964174611, 0.067401799391321709, 0.067401589218364311, 0.067401463209024584, 0.0674014212216449, 0.067401442214230292, 0.067401505202330333, 0.067401610216979213, 0.067401757309907565, 0.067401946553553527, 0.067402178041078259, 0.067402451886384454, 0.067402768224140222, 0.067403127209806457, 0.067403529019667591, 0.067403973850866467, 0.067404461921442144, 0.06740499347037146, 0.067405568757612333, 0.067406188064150829, 0.067406851692049324, 0.067407559964497543, 0.067408313225863853, 0.067409111841748623, 0.067409956199036572, 0.067410846705950933, 0.067411783792105148, 0.06741276790855398, 0.067413799527842863, 0.067414879144053863, 0.067416007272848646, 0.067417184451506046, 0.067418411238955811, 0.067419688215804144, 0.067421015984352906, 0.067422395168609761, 0.067423826414288526, 0.06742531038879801, 0.067426847781217866, 0.067428439302261167, 0.067430085684219612, 0.067431787680892169, 0.0674335460674928, 0.06743536164053765, 0.067437235217707642, 0.067439167637684233, 0.067441159759957819, 0.067443212464602789, 0.067445326652019744, 0.067447503242638956, 0.067449743176583907, 0.067452047413290403, 0.067454416931077399, 0.067456852726665878, 0.067459355814641783, 0.067461927226858176, 0.067464568011771558, 0.067467279233707877, 0.067470061972052353, 0.067472917320357553, 0.067475846385363247, 0.067478850285922862, 0.067481930151826824, 0.06748508712251923, 0.06748832234569728, 0.067491636975786404, 0.067495032172282893, 0.067498509097953588, 0.067502068916885316, 0.067505712792371178, 0.067509441884626084, 0.067513257348317673, 0.06751716032990368, 0.067521151964760745, 0.067525233374094787, 0.067529405661617303, 0.067533669909975072, 0.067538027176918758, 0.067542478491195379, 0.067547024848148909, 0.067551667205013918, 0.067556406475885525, 0.067561243526348805, 0.06756617916775122, 0.067571214151100262, 0.06757634916056926, 0.067581584806594139, 0.067586921618542115, 0.067592360036938109, 0.06759790040522827, 0.067603542961067839, 0.067609287827114922, 0.067615135001317953, 0.067621084346681209, 0.067627135580499667, 0.067633288263050179, 0.067639541785734433, 0.067645895358667787, 0.067652347997712151, 0.067658898510957979, 0.067665545484657461, 0.067672287268627368, 0.067679121961133362, 0.067686047393282683, 0.067693061112957059, 0.067700160368323131, 0.067707342090971886, 0.067714602878742688, 0.067721938978304516, 0.067729346267573182, 0.067736820238061116, 0.067744355977269008, 0.067751948151241609, 0.067759590987429494, 0.06776727825801443, 0.067775003263875019, 0.067782758819385475, 0.067790537238265239, 0.067798330320712127, 0.06780612934207686, 0.06781392504335286, 0.067821707623780009, 0.067829466735877086, 0.067837191483238413, 0.067844870421445505, 0.067852491562460385, 0.067860042382878974, 0.067867509836430057, 0.067874880371112584, 0.067882139951359083, 0.067889274085612211, 0.067896267859682349, 0.067903105976239525, 0.067922528672757637, 0.067939973962298728, 0.067955001757964706, 0.067967187462351308, 0.067976148323005955, 0.067981573575408946, 0.067983256518372989, 0.067981125956394051, 0.067975273989558646, 0.067965977111269435, 0.067953708101328864, 0.06793913727323779, 0.067923123103238781, 0.067906693867300041, 0.0678910233229639, 0.067877404421939749, 0.067867225379154003, 0.067861952171500886, 0.0678631208574004, 0.067872342244162193, 0.067891320642710196, 0.067921887949590906, 0.067966054221250696, 0.068026076323564, 0.068104547177799207, 0.068204509605468477, 0.068329600852259975, 0.068484236657658237, 0.06867384742182972, 0.068905183879825763, 0.069186716070055915, 0.069529157628301655, 0.069946157717770394, 0.070455214753551904, 0.071078877388836059, 0.071846303206815926, 0.072795231186834314, 0.073974366300204597, 0.075446046295606126, 0.077288909385219678, 0.079600628920606806, 0.082504297755413028, 0.08617950855416058, 0.091004539932889872, 0.098059060387003488, 0.11019902748699999, 0.13166409605993756, 0.16058760041685383, 0.18402089998449331, 0.19287997700839948, 0.1901278419896531, 0.18251765633941341, 0.17476717956269797, 0.16917863632694782, 0.1667561372157722, 0.16811489664794355, 0.17404702722384194, 0.18596732309309208, 0.20648149160098997, 0.24032365922238022, 0.29576144240277441, 0.3848454083500632, 0.5111791732324773, 0.61766808011755758, 0.58410746863650009, 0.4425913917952935, 0.31532841124953997, 0.23294954694890432, 0.18275692502432422, 0.15151699402303226, 0.13124926003656381, 0.11752554300895263, 0.10786556820129517, 0.10083214570783279, 0.09555944873601091, 0.09150585784652486, 0.088320684504271676, 0.085769736680627096, 0.083692252980640286, 0.081975140170541388, 0.080537080675344458, 0.079318450198621382, 0.07827475659850032, 0.077372270553411157, 0.076585054181530207, 0.075892901390619077, 0.075279885098085336, 0.074733316019944568, 0.074242985412866641, 0.073800606846066513, 0.073399399529646053, 0.073033773691611209, 0.072699090449566059, 0.072391476699485868, 0.072107681079169691, 0.071844960908362329, 0.071600992711065334, 0.071373800849114155, 0.071161700179769818, 0.070963249655710867, 0.070777214523857754, 0.070602535326118335, 0.070438302313622136, 0.070283734193795022, 0.070138160363427751, 0.070001005959870619, 0.069871779200575218, 0.069750060588538748, 0.06963549364527892, 0.069527776899328264, 0.069426656911031143, 0.069331922156741874, 0.069243397629731626, 0.069160940042967176, 0.069084433541769644, 0.069013785853223666, 0.068948924814853638, 0.068889795238088899, 0.06883635607287443, 0.068788577848726482, 0.068746440374903725, 0.068709930688303444, 0.068679041242384081, 0.068653768333993767, 0.068634110767537032, 0.068620068757603458, 0.068611643072074388, 0.068608834417973996, 0.06861070680529463, 0.068616323190655526, 0.068625681273010025, 0.068638777312918176, 0.068655606275286607, 0.068676162027775225, 0.068700437593480712, 0.068728425456141662, 0.06876011791578894, 0.068795507492468724, 0.068834587375397369, 0.068877351914680182, 0.068923797152517147, 0.068973921390630757, 0.069027725790475905, 0.069085215002598982, 0.06914639782131704, 0.06921128786061588, 0.06927990424684248, 0.069352272323320086, 0.069428424361412222, 0.069508400271769077, 0.069592248308415899, 0.069680025756958211, 0.06977179959635621, 0.069867647121387585, 0.069967656509957274, 0.070071927315664639, 0.070180570861361438, 0.070293710503635087, 0.070411481731007197, 0.070534032049922035, 0.070661520602035968, 0.070794117443616314, 0.070932002402758418, 0.071075363412325412, 0.071224394195809934, 0.0713792911596135, 0.071540249318590585, 0.071707457052533452, 0.07188108946041899, 0.072061300048248247, 0.072248210457703785, 0.07244189792045716, 0.072642380112369259, 0.07284959709085008, 0.073063390037738304, 0.073283476612778106, 0.073509422865676896, 0.073740611877088316, 0.073976209621122099, 0.074215128982992665, 0.074455993437790968, 0.074697102599265111, 0.074936402657272833, 0.075171465581254496, 0.075399481771157656, 0.075617271429829158, 0.075821320103163392, 0.07600784334260352, 0.076172884050265205, 0.076312443600907942, 0.076422644281802052, 0.076499916175125193, 0.076541196846547144, 0.076544127899193612, 0.076507229575823579, 0.076430034071675548, 0.07631316066356375, 0.076158321200597082, 0.075968252269819958, 0.075746579153615823, 0.075497624908968608, 0.075226183983511663, 0.074937282698050028, 0.074635948375797401, 0.074327005351957978, 0.074014910574646806, 0.07370363525368441, 0.073396593165547377, 0.073096611584260063, 0.072805937762461456, 0.072526272436739592, 0.072258821714624125, 0.072004359526628536, 0.071763294191621571, 0.071535734205494556, 0.07132154987508714, 0.07112042873300628, 0.070931923717337503, 0.070755493874565853, 0.070590537870992315, 0.070436420921311971, 0.07029249591079724, 0.070158119544276434, 0.070032664338240999, 0.069915527211099782, 0.069806135342132244, 0.069703949876786866, 0.069608467964038204, 0.069519223526159413, 0.069435787085319611, 0.069357764905917718, 0.069284797656422953, 0.069216558748950802, 0.069152752477805363, 0.069093112048573144, 0.069037397565903838, 0.068985394029788469, 0.06893690937599059, 0.068891772585489064, 0.06884983187966276, 0.068810953011920473, 0.068775017662091931, 0.068741921936768993, 0.068711574976626999, 0.068683897670318766, 0.068658821473641787, 0.068636287332175111, 0.068616244705361942, 0.068598650689982762, 0.068583469241067146, 0.068570670488460217, 0.068560230147489035, 0.068552129022401168, 0.068546352601487059, 0.068542890743028606, 0.068541737451422044], [0.069414267533414883, 0.069416844529430824, 0.069424579020878133, 0.069437481667700418, 0.069455570738129885, 0.069478872870108691, 0.069507424155691541, 0.069541271568184265, 0.069580474759388375, 0.069625108263602201, 0.0696752641565314, 0.069731055231668407, 0.069792618774979401, 0.069860121042076839, 0.069933762572079089, 0.070013784511270091, 0.070100476170490131, 0.070194184107067126, 0.07029532311088206, 0.070404389593142963, 0.07052197803742398, 0.070648801392729388, 0.070785716592919309, 0.070933756813364501, 0.071094172680786008, 0.071268485522843789, 0.071458557015829205, 0.071666681477401642, 0.071895709906482613, 0.072149219273950016, 0.072431747500193239, 0.07274912573547547, 0.073108958067910373, 0.073521330336663596, 0.073999885316074224, 0.074563503184865682, 0.075239020146355209, 0.07606580675153897, 0.077103852342191359, 0.078448875393421866, 0.080262596277821036, 0.082838889505714053, 0.086765460670855374, 0.093383002948127944, 0.10639853018145935, 0.13973960850598091, 0.28184455686984927, 0.52813879783273954, 0.12332203241352251, 0.077678756178002767, 0.068872163905468964, 0.066560987154260801, 0.065992166711249522, 0.065999031920685736, 0.066214209101526839, 0.066503494505897889, 0.066813391332655472, 0.067121700714231292, 0.067419294850120728, 0.067702730122246035, 0.067971038922935378, 0.068224264922190872, 0.068462772175474473, 0.068686915472573329, 0.068896887227935508, 0.069092655255538066, 0.069273950931871831, 0.069440288514994383, 0.069591006416076406, 0.069725325612165046, 0.069842421754121059, 0.069941507196078667, 0.070021917971928374, 0.070083199309614971, 0.070125182180383341, 0.07014804312465607, 0.070152340513108258, 0.07013902256117395, 0.07010940556821621, 0.070065124461657455, 0.070008061096982224, 0.069940258236997913, 0.069863828268846823, 0.069780865406901552, 0.069693368595854607, 0.069603180022787342, 0.069511941599881583, 0.069421069456508139, 0.069331744691047414, 0.069244917507813197, 0.06916132137734185, 0.069081493884045747, 0.069005801297623709, 0.068934464461849879, 0.068867584205820578, 0.068805165058893225, 0.068747136540796075, 0.068693371682825036, 0.068643702715581983, 0.068597934046089451, 0.068555852760151414, 0.068517236942974, 0.068481862128855306, 0.068449506182788444, 0.068419952893495922, 0.068392994526209935, 0.068368433549579277, 0.068346083717639824, 0.068325770656774559, 0.068307332079955707, 0.068290617726660466, 0.068275489106637, 0.068261819108906538, 0.068249491523645747, 0.068238400513488881, 0.068228450061921048, 0.068219553419422749, 0.068211632562538552, 0.068204617676797169, 0.068198446671157806, 0.068193064729199046, 0.068188423900436862, 0.068184482733824284, 0.068181205954531823, 0.068178564184458584, 0.068176533706503728, 0.068175096272379915, 0.068174238953639388, 0.068173954035565892, 0.068173998124530552, 0.06817413044111284, 0.068174351134437094, 0.068174660453240166, 0.06817505874616768, 0.068175546462187653, 0.068176124151124742, 0.068176792464313893, 0.068177552155375132, 0.068178404081110811, 0.068179349202526274, 0.068180388585974583, 0.068181523404429109, 0.068182754938881485, 0.068184084579872337, 0.068185513829150945, 0.068187044301470115, 0.068188677726515531, 0.068190415950973624, 0.06819226094073863, 0.068194214783260959, 0.068196279690041134, 0.068198457999267881, 0.06820075217860519, 0.06820316482812841, 0.0682056986834121, 0.068208356618769617, 0.068211141650646512, 0.068214056941168152, 0.068217105801840594, 0.06822029169740576, 0.068223618249847975, 0.068227089242551137, 0.06823070862460226, 0.06823448051523788, 0.068238409208426887, 0.068242499177583668, 0.068246755080401095, 0.068251181763792398, 0.068255784268929823, 0.06826056783636146, 0.068265537911187807, 0.068270700148274688, 0.068276060417474971, 0.068281624808826727, 0.068287399637690788, 0.068293391449783289, 0.068299607026053366, 0.068306053387346508, 0.068312737798786771, 0.068319667773800691, 0.068326851077692707, 0.068334295730671346, 0.068342010010208745, 0.068350002452602115, 0.068358281853584252, 0.068366857267812581, 0.06837573800704054, 0.068384933636749926, 0.068394453970993294, 0.068404309065163288, 0.068414509206367921, 0.068425064901049798, 0.068435986859442494, 0.068447285976406091, 0.06845897330812474, 0.068471060044090967, 0.068483557473725601, 0.068496476946911605, 0.068509829827629098, 0.068523627439791124, 0.068537881004273812, 0.068552601566024954, 0.0685677999100167, 0.068583486464673118, 0.06859967119127057, 0.06861636345765712, 0.068633571894484699, 0.068651304231987884, 0.06866956711518224, 0.068688365895193268, 0.068707704394280297, 0.068727584641984307, 0.068748006579727933, 0.068768967731141772, 0.068790462835412305, 0.068812483441070327, 0.068835017457926209, 0.068858048665359523, 0.068881556175994257, 0.068905513855070794, 0.068929889697739333, 0.06895464516935064, 0.068979734517979452, 0.069005104074501666, 0.069030691564399282, 0.069056425468399824, 0.06908222448797989, 0.069107997199624113, 0.06913364202297051, 0.069159047689486358, 0.069184094490759726, 0.069208656725623291, 0.069232606979688582, 0.06925582320187991, 0.069278200058919104, 0.06929966686254721, 0.069320215660951229, 0.069339945174831746, 0.069359129661910657, 0.069378327400757431, 0.069398552821885021, 0.069421552012650531, 0.069450247914347132, 0.0694894667301129, 0.069547133598604177, 0.069636252924532474, 0.069778191149002036, 0.070008066935479618, 0.07038333898233573, 0.070996505145640598, 0.071990574225016229, 0.073567223989576311, 0.075954100809970615, 0.07925925040556514, 0.083151015229044362, 0.086547068483638745, 0.087932672217538671, 0.086547068483634221, 0.083151015229044348, 0.079259250405566112, 0.075954100809970893, 0.073567223989575103, 0.07199057422501659, 0.070996505145639877, 0.070383338982335675, 0.070008066935479785, 0.069778191149002147, 0.069636252924532377, 0.069547133598603941, 0.069489466730112831, 0.069450247914347216, 0.069421552012650545, 0.069398552821885159, 0.069378327400757306, 0.069359129661910351, 0.069339945174831968, 0.069320215660951395, 0.069299666862547127, 0.069278200058919173, 0.069255823201879896, 0.069232606979688624, 0.069208656725623346, 0.069184094490759698, 0.069159047689486428, 0.069133642022970496, 0.069107997199624099, 0.069082224487980057, 0.069056425468399796, 0.069030691564399282, 0.069005104074501708, 0.068979734517979563, 0.068954645169350612, 0.068929889697739236, 0.068905513855070724, 0.068881556175994285, 0.068858048665359523, 0.068835017457926279, 0.068812483441070382, 0.068790462835412236, 0.06876896773114187, 0.068748006579727933, 0.068727584641984224, 0.06870770439428027, 0.068688365895193268, 0.068669567115182267, 0.068651304231987856, 0.068633571894484727, 0.068616363457657176, 0.068599671191270459, 0.068583486464673049, 0.0685677999100167, 0.06855260156602494, 0.068537881004273771, 0.068523627439791179, 0.068509829827629126, 0.068496476946911508, 0.068483557473725518, 0.068471060044090884, 0.06845897330812474, 0.068447285976406078, 0.068435986859442549, 0.068425064901049798, 0.068414509206367963, 0.068404309065163246, 0.06839445397099328, 0.068384933636749856, 0.068375738007040623, 0.068366857267812581, 0.068358281853584182, 0.068350002452602129, 0.068342010010208801, 0.068334295730671429, 0.068326851077692721, 0.068319667773800691, 0.068312737798786757, 0.068306053387346452, 0.068299607026053394, 0.068293391449783386, 0.068287399637690774, 0.068281624808826685, 0.068276060417474943, 0.068270700148274716, 0.068265537911187835, 0.068260567836361502, 0.068255784268929795, 0.068251181763792357, 0.068246755080401095, 0.068242499177583696, 0.068238409208426914, 0.068234480515237811, 0.06823070862460226, 0.06822708924255115, 0.068223618249848017, 0.068220291697405691, 0.06821710580184058, 0.068214056941168069, 0.068211141650646498, 0.068208356618769672, 0.0682056986834121, 0.068203164828128368, 0.068200752178605134, 0.068198457999267839, 0.068196279690041078, 0.068194214783261042, 0.068192260940738589, 0.068190415950973707, 0.068188677726515601, 0.068187044301470115, 0.068185513829150918, 0.068184084579872364, 0.068182754938881582, 0.068181523404429067, 0.068180388585974666, 0.06817934920252626, 0.068178404081110824, 0.068177552155375118, 0.068176792464313879, 0.068176124151124756, 0.068175546462187681, 0.068175058746167638, 0.068174660453240207, 0.06817435113443715, 0.068174130441112896, 0.068173998124530566, 0.068173954035565809, 0.068173976078869658, 0.068174042219479314, 0.068174152489492088, 0.068174306942410362, 0.068174505653153333, 0.068174748718072622, 0.06817503625497133, 0.068175368403128545, 0.068175745323327333, 0.068176167197886148, 0.068176634230694727, 0.06817714664725251, 0.06817770469471153, 0.068178308641920385, 0.068178958779472554, 0.068179655419755569, 0.068180398897003253, 0.068181189567347908, 0.068182027808875181, 0.068182914021676991, 0.068183848627907065, 0.068184832071833471, 0.068185864819890654, 0.068186947360729375, 0.068188080205263596, 0.068189263886713591, 0.068190498960644066, 0.068191786004997715, 0.068193125620120754, 0.068194518428781409, 0.068195965076179574, 0.068197466229945602, 0.068199022580127763, 0.068200634839166011, 0.068202303741851988, 0.068204030045271063, 0.068205814528727385, 0.068207657993647031, 0.068209561263460214, 0.068211525183457883, 0.068213550620620705, 0.068215638463419645, 0.068217789621582439, 0.068220005025825772, 0.068222285627547674, 0.068224632398478841, 0.068227046330287922, 0.068229528434136946, 0.06823207974018386, 0.068234701297026287, 0.068237394171083599, 0.068240159445910914, 0.068242998221440532, 0.068245911613145069, 0.068248900751116365, 0.068251966779053777, 0.068255110853156123, 0.068258334140907817, 0.068261637819755333, 0.068265023075662873, 0.06826849110154061, 0.068272043095536666, 0.068275680259182306, 0.068279403795382831, 0.068283214906241244, 0.06828711479070626, 0.068291104642031447, 0.068295185645035603, 0.068299358973149399, 0.06830362578523827, 0.068307987222185562, 0.068312444403223149, 0.068316998421994804, 0.068321650342337073, 0.06832640119376196, 0.06833125196662522, 0.068336203606964768, 0.068341257010990725, 0.068346413019211405, 0.068351672410176867, 0.068357035893823373, 0.068362504104400312, 0.06836807759296204, 0.068373756819409465, 0.068379542144060626, 0.068385433818738448, 0.068391431977356698, 0.068397536625992447, 0.068403747632429651, 0.068410064715165614, 0.068416487431867803, 0.068423015167276988, 0.068429647120551884, 0.068436382292054052, 0.068443219469579, 0.068450157214037799, 0.068457193844607508, 0.068464327423365098, 0.068471555739433032, 0.068478876292670313, 0.068486286276948805, 0.068493782563068359, 0.068501361681369929, 0.068509019804120844, 0.068516752727756119, 0.068524555855074179, 0.0685324241775013, 0.068540352257550702, 0.068548334211622611, 0.068556363693307212, 0.06856443387737278, 0.068572537444636095, 0.068580666567938986, 0.068588812899468291, 0.068596967559683669, 0.068605121128131913, 0.068613263636452648, 0.068621384563895979, 0.06862947283569211, 0.068637516824630776, 0.06864550435621998, 0.068653422717809234, 0.068661258672065434, 0.068668998475198098, 0.068676627900324985, 0.068684132266366549, 0.068691496472838634, 0.068698705040896646, 0.068719237498898023, 0.068737787018470248, 0.068753910497671752, 0.068767182036291633, 0.068777219888211519, 0.068783717223989543, 0.068786474824030039, 0.068785433117304062, 0.068780700536842584, 0.06877257515682364, 0.068761557118686423, 0.068748350439432587, 0.068733854276319034, 0.0687191453318588, 0.068705454505912589, 0.068694141867055067, 0.068686674379022539, 0.068684610599059087, 0.068689595928099284, 0.068703371188661794, 0.068727796599122148, 0.068764892823146254, 0.068816900851976351, 0.068886363114797247, 0.068976229467011776, 0.069089993645642306, 0.069231868523653456, 0.069407012247083094, 0.06962182242549142, 0.069884322430742371, 0.070204673132998122, 0.070595855692155499, 0.071074586673115156, 0.071662544956183155, 0.072388006494517459, 0.07328798505969486, 0.074410930923638, 0.075819863938901194, 0.077595334856836104, 0.079836482036821976, 0.082656264967570836, 0.086164279871943306, 0.09043415865015654, 0.095491067056089105, 0.101480804665373, 0.10920433678621622, 0.11994306995663787, 0.132231130878536, 0.14073677124131781, 0.14256041070494274, 0.13955593239798342, 0.13477535183398573, 0.13026435070921247, 0.12701423456325392, 0.12546359097547727, 0.12589062867567258, 0.12865849264147183, 0.1344112807929819, 0.14432943703071005, 0.1605873671295536, 0.1872692445046874, 0.23219626430028878, 0.30980695915739442, 0.43890091081693111, 0.59509006534879694, 0.61953099978416615, 0.47217139311710637, 0.32597933248569344, 0.2349160114988077, 0.18196057126703838, 0.15012445450474249, 0.12994995403082527, 0.11650063088687146, 0.10713013935051457, 0.10035246153917841, 0.095292502343051394, 0.091411921949483985, 0.088366457769474854, 0.085928336916708342, 0.083942293992795389, 0.082299675531056854, 0.08092266426469448, 0.079754370023819979, 0.078752432593708038, 0.077884788827638538, 0.077126808918121056, 0.07645931964565314, 0.07586721476420992, 0.075338461756721861, 0.074863381025670944, 0.074434115444489746, 0.07404423495091339, 0.073688438286239569, 0.073362325526945105, 0.073062222824916215, 0.072785046080749247, 0.072528193951351294, 0.072289463172768617, 0.072066981010994693, 0.071859150969007593, 0.071664608833054061, 0.071482186841080292, 0.071310884274141992, 0.071149843158350198, 0.070998328056177729, 0.070855709147120666, 0.070721447967046047, 0.070595085306208991, 0.070476230867538514, 0.070364554366444454, 0.070259777816342642, 0.070161668794212012, 0.070070034520750585, 0.06998471662226409, 0.069905586467965908, 0.069832540998153531, 0.06976549897669973, 0.069704397616161831, 0.069649189536144407, 0.069599840025699689, 0.069556324588897905, 0.069518626759427063, 0.069486736175410763, 0.069460646909720578, 0.069440356054020755, 0.069425862556794449, 0.069417166316745577, 0.069414267533414883, 0.069416200001939696, 0.069421996682341808, 0.069431655429531891, 0.069445172769571503, 0.069462544050776037, 0.069483763653838543, 0.069508825259596438, 0.069537722172704958, 0.069570447699168064, 0.069606995575395833, 0.069647360446203524, 0.069691538388960333, 0.069739527480909003, 0.069791328406517389, 0.069846945101576366, 0.069906385430598808, 0.06996966189391389, 0.070036792360613137, 0.070107800823219282, 0.070182718169534114, 0.070261582966548941, 0.070344442250529354, 0.070431352316320833, 0.07052237949752567, 0.070617600927343399, 0.070717105267460667, 0.07082099338929268, 0.070929378987942868, 0.0710423891042921, 0.07116016452443881, 0.071282860018023531, 0.071410644367518789, 0.071543700129014801, 0.07168222305102509, 0.071826421061035164, 0.071976512709513427, 0.072132724937593373, 0.072295290007386909, 0.072464441402824861, 0.072640408474325568, 0.072823409563188515, 0.073013643302878697, 0.073211277756858401, 0.07341643702034982, 0.073629184892422497, 0.073849505223733902, 0.074077278575965119, 0.07431225490717519, 0.074554022142602677, 0.074801970726346187, 0.075055254601674837, 0.075312749561677675, 0.075573010566910459, 0.075834230447678189, 0.076094203374882319, 0.076350297533901032, 0.076599442454317115, 0.076838137250762398, 0.077062486364458366, 0.077268268957981057, 0.077451046599499848, 0.077606311043925111, 0.077729669725222009, 0.077817061259472048, 0.07786498743845828, 0.077870742852724523, 0.077832619638545264, 0.077750064074751379, 0.077623764647731075, 0.07745565781380323, 0.077248847179482508, 0.077007442558846062, 0.07673633530518964, 0.076440933536020716, 0.076126884116847676, 0.075799807244935166, 0.075465064841810162, 0.075127577054755867, 0.074791693548684535, 0.07446111932493249, 0.074138889463881669, 0.073827383848285077, 0.073528371514009774, 0.073243074420752396, 0.072972241632697263, 0.072716226652764615, 0.072475062561940085, 0.07224853140077557, 0.072036225737916182, 0.071837601540873652, 0.071652022302855972, 0.07147879492893254, 0.071317198203398338, 0.071166504807447767, 0.071025997885147366, 0.070894983109209123, 0.070772797108691624, 0.070658813011536925, 0.070552443741152424, 0.070453143597489457, 0.070360408554500153, 0.070273775619799833, 0.070192821529311264, 0.070117160989010663, 0.070046444626426882, 0.069980356774820146, 0.069918613181498876, 0.069860958707111245, 0.069807165063731011, 0.069757028625034329, 0.069710368330932582, 0.069667023700910602, 0.069626852964404753, 0.069589731312334716, 0.069555549270975514, 0.069524211197405733, 0.069495633894541969, 0.069469745343076136, 0.069446483547318333, 0.06942579549189884, 0.06940763620640672, 0.069391967935285973, 0.069378759410600066, 0.069367985225613146, 0.069359625307457581, 0.069353664487479538, 0.069350092168157781, 0.069348902085759084], [0.070245305215754519, 0.070247968514993347, 0.070255962193566293, 0.070269297752885526, 0.070287994894185316, 0.070312082326590156, 0.070341598918505541, 0.070376595213892112, 0.070417135343303627, 0.07046329936971181, 0.070515186121723319, 0.070572916582574627, 0.070636637923338186, 0.070706528294413262, 0.070782802522420821, 0.070865718902534736, 0.070955587332457895, 0.071052779108355668, 0.071157738801702286, 0.071270998768554292, 0.071393197022670635, 0.071525099450772178, 0.071667627690892757, 0.071821894476410145, 0.071989248934340153, 0.07217133531774704, 0.072370170106924175, 0.072588244585297196, 0.072828663296720497, 0.073095333910037752, 0.073393232133318928, 0.073728778506370274, 0.074110385910076182, 0.074549274498341228, 0.075060718165405105, 0.075666011382968468, 0.076395686461374734, 0.077295002360800086, 0.0784337877808364, 0.07992518617886317, 0.081964090902710035, 0.084913646309808605, 0.089525029241679724, 0.097596041420359811, 0.11447634192222989, 0.16292445094049046, 0.41178340120310708, 0.3258283939361169, 0.10209857460930058, 0.07471976964812943, 0.068694066706119897, 0.06706861843012582, 0.066718682105208593, 0.066806844063583587, 0.067055316902275855, 0.067359337916312684, 0.067676396937725022, 0.067988766284946683, 0.068289241710580789, 0.068575227968059302, 0.068846124711162804, 0.069102117174345057, 0.069343600408403178, 0.069570903283877494, 0.069784160963306724, 0.069983265153456251, 0.07016785870054093, 0.07033735879208862, 0.070491001365652145, 0.070627902850445026, 0.070747136229607863, 0.070847817735429475, 0.0709291990125092, 0.070990757924262168, 0.071032279926815239, 0.071053921617942453, 0.071056249045635164, 0.07104024570416051, 0.071007288577224076, 0.070959094514160298, 0.070897642880823064, 0.07082508308914158, 0.070743636802507059, 0.070655504229993671, 0.070562782215278327, 0.070467399298694292, 0.070371070165262006, 0.070275269392764322, 0.070181222512129854, 0.070089911217706372, 0.070002089080376112, 0.069918304179448623, 0.069838925496272436, 0.069764170527826755, 0.069694132242505105, 0.069628804118750831, 0.069568102528336909, 0.069511886130896428, 0.069459972237654308, 0.06941215029512679, 0.069368192753696017, 0.069327863641542392, 0.069290925179206486, 0.069257142758491319, 0.069226288582448642, 0.069198144228608011, 0.069172502360707613, 0.06914916777823979, 0.06912795796006399, 0.069108703229067092, 0.069091246639665579, 0.069075443668737066, 0.069061161773027888, 0.069048279861778181, 0.069036687721791085, 0.069026285423002459, 0.069016982725388962, 0.069008698502416629, 0.06900136019189107, 0.068994903281757239, 0.0689892708359027, 0.068984413063173253, 0.068980286931472651, 0.068976855827871178, 0.068974089265012153, 0.068971962633700715, 0.068970457001332156, 0.06896955895572722, 0.068969260493945597, 0.068969306823288029, 0.068969445863665504, 0.068969677772192511, 0.068970002810938541, 0.068970421347247846, 0.0689709338541864, 0.068971540911118789, 0.068972243204414391, 0.06897304152828479, 0.068973936785753823, 0.068974929989761, 0.068976022264400264, 0.068977214846297166, 0.068978509086122672, 0.068979906450251829, 0.068981408522562959, 0.068983017006384942, 0.068984733726591932, 0.068986560631850144, 0.068988499797018252, 0.068990553425703607, 0.068992723852979998, 0.068995013548265566, 0.068997425118366915, 0.068999961310690472, 0.069002625016624436, 0.069005419275092614, 0.069008347276282897, 0.069011412365553082, 0.069014618047512785, 0.06901796799028509, 0.069021466029946216, 0.0690251161751438, 0.069028922611891544, 0.069032889708538367, 0.069037022020908334, 0.069041324297605997, 0.069045801485480743, 0.069050458735240627, 0.069055301407206282, 0.069060335077190088, 0.069065565542484345, 0.069070998827939406, 0.069076641192107227, 0.069082499133422529, 0.069088579396388669, 0.069094888977728447, 0.069101435132455827, 0.069108225379813759, 0.069115267509018211, 0.069122569584737684, 0.069130139952225236, 0.069137987242010465, 0.069146120374042788, 0.069154548561164, 0.069163281311768493, 0.069172328431491667, 0.069181700023743561, 0.069191406488880947, 0.069201458521782541, 0.069211867107562289, 0.069222643515119475, 0.06923379928818571, 0.069245346233487409, 0.069257296405593513, 0.06926966208796291, 0.069282455769652904, 0.069295690117077563, 0.069309377940141817, 0.069323532151990719, 0.069338165721535464, 0.069353291617819654, 0.069368922745190478, 0.069385071868135112, 0.069401751524520869, 0.069418973925863978, 0.069436750843120537, 0.069455093476365248, 0.06947401230659303, 0.069493516927753018, 0.069513615857002081, 0.069534316321068365, 0.069555624016534756, 0.069577542841820189, 0.069600074598659037, 0.069623218660989833, 0.069646971609393635, 0.069671326829623847, 0.069696274074403361, 0.069721798988626571, 0.069747882599528202, 0.06977450077543107, 0.069801623659639614, 0.069829215090249697, 0.06985723202264181, 0.069885623979968267, 0.069914332569176008, 0.069943291117676332, 0.069972424511196382, 0.070001649350365014, 0.07003087459794316, 0.070060002969073429, 0.070088933437125411, 0.070117565408947966, 0.070145805399170799, 0.070173577457186442, 0.070200839258530351, 0.070227606804054446, 0.070253992303504598, 0.070280262430166843, 0.070306928341163352, 0.070334885692834304, 0.070365634040635172, 0.07040162325955221, 0.070446804292267851, 0.070507508934217561, 0.070593855996202617, 0.070721982246305173, 0.07091750399361621, 0.07122061626781076, 0.07169275017540136, 0.072422691549669793, 0.073524287658153636, 0.0751057922883865, 0.077178049465170262, 0.079492352731530089, 0.081427077752236607, 0.08219751197186119, 0.081427077752233804, 0.079492352731529922, 0.077178049465170692, 0.075105792288386652, 0.073524287658152832, 0.072422691549669849, 0.071692750175400957, 0.071220616267810774, 0.070917503993616404, 0.070721982246305354, 0.07059385599620252, 0.070507508934217339, 0.070446804292267795, 0.070401623259552279, 0.070365634040635228, 0.070334885692834442, 0.070306928341163255, 0.070280262430166565, 0.070253992303504806, 0.07022760680405464, 0.070200839258530268, 0.070173577457186484, 0.070145805399170758, 0.070117565408948007, 0.070088933437125411, 0.070060002969073332, 0.07003087459794323, 0.070001649350365, 0.069972424511196368, 0.069943291117676512, 0.069914332569176021, 0.069885623979968281, 0.069857232022641852, 0.069829215090249766, 0.069801623659639586, 0.069774500775430959, 0.069747882599528174, 0.069721798988626571, 0.069696274074403361, 0.069671326829623917, 0.069646971609393676, 0.06962321866098975, 0.069600074598659106, 0.069577542841820203, 0.069555624016534687, 0.069534316321068337, 0.069513615857002137, 0.069493516927753046, 0.06947401230659303, 0.069455093476365318, 0.06943675084312062, 0.06941897392586388, 0.069401751524520799, 0.069385071868135126, 0.069368922745190478, 0.069353291617819585, 0.069338165721535533, 0.069323532151990719, 0.069309377940141734, 0.069295690117077494, 0.069282455769652806, 0.069269662087962924, 0.069257296405593513, 0.069245346233487493, 0.069233799288185696, 0.069222643515119503, 0.069211867107562275, 0.0692014585217825, 0.069191406488880877, 0.069181700023743631, 0.069172328431491667, 0.069163281311768451, 0.069154548561164014, 0.069146120374042844, 0.069137987242010562, 0.069130139952225236, 0.069122569584737684, 0.069115267509018183, 0.069108225379813676, 0.069101435132455855, 0.069094888977728502, 0.069088579396388641, 0.069082499133422487, 0.069076641192107213, 0.06907099882793942, 0.069065565542484358, 0.069060335077190102, 0.069055301407206254, 0.069050458735240558, 0.069045801485480771, 0.06904132429760601, 0.069037022020908362, 0.069032889708538325, 0.069028922611891558, 0.069025116175143841, 0.069021466029946271, 0.069017967990285034, 0.069014618047512785, 0.069011412365553013, 0.069008347276282897, 0.069005419275092628, 0.069002625016624491, 0.06899996131069043, 0.068997425118366873, 0.06899501354826551, 0.06899272385297997, 0.068990553425703677, 0.068988499797018196, 0.068986560631850213, 0.068984733726591987, 0.068983017006384956, 0.068981408522562959, 0.068979906450251857, 0.068978509086122769, 0.068977214846297125, 0.068976022264400361, 0.068974929989760986, 0.068973936785753809, 0.068973041528284804, 0.068972243204414349, 0.068971540911118789, 0.068970933854186428, 0.06897042134724779, 0.068970002810938541, 0.068969677772192539, 0.068969445863665588, 0.068969306823288043, 0.068969260493945486, 0.068969283657359173, 0.068969353158679816, 0.068969469031149547, 0.068969631330178888, 0.06896984013335887, 0.068970095540477047, 0.068970397673537104, 0.068970746676783948, 0.068971142716732506, 0.068971585982199907, 0.068972076684342437, 0.068972615056694858, 0.068973201355214411, 0.068973835858326019, 0.06897451886697166, 0.068975250704661067, 0.068976031717524935, 0.068976862274368611, 0.068977742766728037, 0.068978673608924179, 0.068979655238119719, 0.068980688114372593, 0.0689817727206892, 0.068982909563075429, 0.068984099170584054, 0.068985342095358837, 0.068986638912672857, 0.068987990220962414, 0.068989396641852607, 0.068990858820175319, 0.068992377423978235, 0.068993953144522766, 0.068995586696269734, 0.068997278816851429, 0.068999030267028943, 0.069000841830631293, 0.069002714314476465, 0.06900464854827057, 0.06900664538448438, 0.069008705698204248, 0.069010830386953839, 0.069013020370487024, 0.069015276590545058, 0.069017600010578578, 0.069019991615428614, 0.069022452410965052, 0.069024983423677341, 0.069027585700214319, 0.069030260306868804, 0.069033008329002055, 0.069035830870404602, 0.06903872905258629, 0.069041704013992303, 0.069044756909137847, 0.06904788890765666, 0.069051101193255582, 0.069054394962570126, 0.069057771423911465, 0.069061231795899847, 0.069064777305974157, 0.06906840918877058, 0.069072128684360287, 0.069075937036337298, 0.069079835489746708, 0.069083825288841771, 0.069087907674660207, 0.069092083882406688, 0.069096355138631174, 0.069100722658187883, 0.069105187640964766, 0.069109751268367214, 0.06911441469954252, 0.069119179067330963, 0.069124045473927073, 0.069129014986235887, 0.069134088630907212, 0.069139267389032602, 0.069144552190485986, 0.069149943907892295, 0.069155443350205403, 0.069161051255878764, 0.0691667682856099, 0.069172595014641403, 0.069178531924602937, 0.069184579394874046, 0.069190737693455143, 0.069197006967329069, 0.069203387232300434, 0.069209878362298652, 0.06921648007813648, 0.069223191935712053, 0.069230013313650987, 0.069236943400384637, 0.069243981180664049, 0.069251125421516901, 0.069258374657652499, 0.069265727176335015, 0.06927318100174143, 0.069280733878833448, 0.069288383256780189, 0.06929612627197336, 0.069303959730691159, 0.069311880091472655, 0.069319883447280906, 0.069327965507540973, 0.069336121580155896, 0.069344346553618791, 0.069352634879351158, 0.069360980554418361, 0.069369377104790145, 0.069377817569332284, 0.069386294484733088, 0.069394799871594207, 0.069403325221928616, 0.06941186148833689, 0.069420399075146175, 0.069428927831823709, 0.069437437048990858, 0.069445915457385099, 0.06945435123013248, 0.069462731988707269, 0.069471044812968188, 0.069479276255664982, 0.069487412361816436, 0.069495438693354034, 0.069503340359423238, 0.069511102052713006, 0.069518708092168535, 0.069540430957675162, 0.069560164312449504, 0.069577461549699196, 0.069591895086965644, 0.069603083983241498, 0.069610725399472148, 0.069614627995367107, 0.069614744653838989, 0.069611201490266492, 0.069604320111796542, 0.069594630651662284, 0.069582874206863696, 0.069569994805367852, 0.069557122654813341, 0.069545551864893071, 0.069536716822413344, 0.06953217179032084, 0.069533578122001907, 0.069542702898063177, 0.069561432060275832, 0.069591800508526716, 0.069636041374842375, 0.069696656965116927, 0.069776514783415317, 0.0698789737277212, 0.070008048102456949, 0.070168620748078225, 0.070366721695593035, 0.070609895862402836, 0.070907693213190903, 0.071272328595026357, 0.071719577418016572, 0.072269998647724348, 0.07295060801361547, 0.073797156957735199, 0.074857187819296359, 0.076193977245763336, 0.077891198566310965, 0.080057257767438647, 0.082825933151327163, 0.086344509065180042, 0.090730117615093975, 0.095963807870231052, 0.10171789372497256, 0.10728734773146677, 0.11206590492145646, 0.11621655001632633, 0.11957335468485858, 0.12068726257797144, 0.11899911349414379, 0.11559758260489844, 0.11184302053047258, 0.10859296726161329, 0.10624457865990512, 0.10496483135928188, 0.1048637846580502, 0.10610352515777033, 0.10898562710315605, 0.1140633156393782, 0.12233859185868239, 0.13565748083037579, 0.1575564644291266, 0.19513554070297795, 0.26294132114462299, 0.38668321837536884, 0.56904234812908694, 0.64126430905078668, 0.48924976493790012, 0.32845314923013774, 0.2326128281577948, 0.17907008401849758, 0.14771020544703814, 0.12815270844912516, 0.11523925818448361, 0.10629230858329633, 0.099840613749464444, 0.095030638742454959, 0.091342778352050361, 0.088447202424170229, 0.086126829028760399, 0.084234226076843888, 0.082666485218452795, 0.081350029917372238, 0.080231128352983391, 0.079269796172128398, 0.078435776015829559, 0.077705824747455896, 0.077061844704530841, 0.076489572006107301, 0.075977640043820571, 0.075516900372187806, 0.075099923196512597, 0.074720625128178647, 0.074373988418419981, 0.074055846815444151, 0.073762720536027782, 0.073491687853821208, 0.073240284273261777, 0.0730064226878024, 0.072788329645186459, 0.072584494079845699, 0.072393625770130102, 0.072214621435924969, 0.072046536878956444, 0.071888563931561483, 0.071740011253483463, 0.071600288224267838, 0.071468891338159077, 0.071345392631445723, 0.071229429767997537, 0.071120697483935527, 0.071018940151862706, 0.070923945272553718, 0.070835537740168278, 0.070753574757973892, 0.070677941306792072, 0.070608546089080709, 0.070545317888602244, 0.070488202299697267, 0.070437158791730486, 0.070392158083749892, 0.07035317981203576, 0.070320210479276696, 0.07029324167878534, 0.070272268590593767, 0.07025728874865185, 0.07024830107978694, 0.070245305215754519, 0.070247302399281758, 0.070253293283144377, 0.070263275899442257, 0.070277247075651444, 0.070295202594883741, 0.070317137418846307, 0.070343045972143081, 0.070372922486210646, 0.070406761400881743, 0.070444557821302559, 0.070486308027697661, 0.070532010035291123, 0.070581664201536526, 0.070635273877678609, 0.07069284610156143, 0.070754392328477689, 0.070819929196738379, 0.070889479324449764, 0.070963072133746544, 0.071040744698361732, 0.071122542609883641, 0.071208520857314189, 0.071298744713500881, 0.071393290620626271, 0.071492247065057524, 0.071595715429397619, 0.071703810806385535, 0.07181666275517902, 0.071934415975325877, 0.072057230867141345, 0.072185283938958386, 0.072318768011487414, 0.072457892156912326, 0.072602881294927368, 0.072753975349244715, 0.072911427845649412, 0.07307550380600486, 0.073246476761322676, 0.073424624670851202, 0.073610224493204493, 0.073803545110396454, 0.074004838257611338, 0.074214327063144458, 0.074432191758339053, 0.074658552082994781, 0.074893445897152106, 0.075136803528737861, 0.07538841745642906, 0.075647907071533335, 0.075914678510257572, 0.076187879930948041, 0.076466353163118672, 0.076748583404711634, 0.077032649604552111, 0.077316179322987275, 0.077596313152570207, 0.077869685072224609, 0.078132426187576515, 0.078380199871394649, 0.078608275982210485, 0.078811650207132933, 0.078985211324990257, 0.079123954210903152, 0.07922322996091874, 0.079279017340448663, 0.079288193071596513, 0.079248773812275575, 0.079160101560618895, 0.079022947667184984, 0.078839518749580784, 0.078613359517149511, 0.078349160740400478, 0.078052492732360479, 0.077729493338069333, 0.077386543022096174, 0.077029957926990814, 0.076665725688613795, 0.076299300088735339, 0.075935461285939282, 0.075578240083587989, 0.07523089854374955, 0.07489595562563664, 0.074575245237046242, 0.074269994611640633, 0.073980912613077737, 0.073708279811666791, 0.073452034509197586, 0.073211850995837824, 0.072987208051088132, 0.072777447002577628, 0.072581819557861901, 0.07239952618882424, 0.072229746151985408, 0.072071660344345895, 0.071924468185937535, 0.071787399636180485, 0.071659723327369224, 0.071540751659810525, 0.071429843565102125, 0.071326405515947239, 0.071229891247404697, 0.071139800557184329, 0.071055677471294099, 0.070977107994768043, 0.070903717613600856, 0.070835168671492921, 0.070771157711721322, 0.070711412848720859, 0.070655691214325855, 0.07060377650882875, 0.070555476676037718, 0.070510621713504182, 0.070469061623369772, 0.070430664505305621, 0.070395314790354852, 0.070362911612805487, 0.070333367316256515, 0.070306606089589857, 0.070282562728472775, 0.070261181518168944, 0.070242415233744762, 0.07022622425415978, 0.070212575787164819, 0.070201443202390551, 0.070192805470441239, 0.070186646706221476, 0.07018295581511258, 0.070181726240953798], [0.071487307763851843, 0.071490078823608291, 0.071498396105553988, 0.071512272087310397, 0.071531728133228431, 0.071556795357563194, 0.071587515854984407, 0.071623944322100258, 0.071666150102815879, 0.071714219701504198, 0.071768259821815769, 0.071828401006350032, 0.071894801974537431, 0.071967654784431234, 0.072047190980713133, 0.072133688938854176, 0.072227482677870783, 0.072328972496769839, 0.072438637900091751, 0.072557053426628978, 0.072684908197786433, 0.072823030280687928, 0.072972417349240662, 0.07313427567394519, 0.073310070254320681, 0.073501590044339399, 0.073711033897167724, 0.07394112536974691, 0.074195268371374606, 0.074477761638647361, 0.074794099594403571, 0.075151402822440899, 0.075559047774160865, 0.076029611148444795, 0.076580326837572765, 0.077235407766491598, 0.078029887875959159, 0.079016266395486978, 0.080276618332412758, 0.081946119132597348, 0.084262487051372181, 0.087680843722913862, 0.093178164413050574, 0.10322148289108925, 0.1257972803978748, 0.20018696932931385, 0.59748317524306238, 0.2056535344087444, 0.09065614430035504, 0.073341554496662742, 0.069148467310247166, 0.068023424425867104, 0.067845693922386555, 0.068002918052287503, 0.068282712951078739, 0.068602843605334196, 0.068929524487186034, 0.06924869621911553, 0.069554784063239422, 0.069845937213267456, 0.070121891962278596, 0.070382972130772284, 0.070629609778357347, 0.070862115079929427, 0.071080571176947119, 0.071284795715151297, 0.071474341614375159, 0.071648524377196043, 0.071806470155053245, 0.071947181560498966, 0.072069618608802663, 0.072172791147746787, 0.072255857360310413, 0.072318221013727715, 0.072359618697102585, 0.072380187904268978, 0.072380507868253438, 0.072361607615488988, 0.072324939470745447, 0.072272320546274041, 0.072205848741901127, 0.072127802668907628, 0.072040536170990307, 0.071946377642507373, 0.07184754243085667, 0.071746063819532024, 0.071643745064837658, 0.071542132253424109, 0.071442505712878704, 0.071345886474865949, 0.071253053808835148, 0.071164569951077936, 0.071080808644890178, 0.071001984790846628, 0.070928183231486849, 0.070859385362590191, 0.070795492820490608, 0.070736347923610596, 0.070681750851676925, 0.070631473745424542, 0.070585272025202997, 0.070542893280812466, 0.070504084096314687, 0.070468595157921657, 0.070436184961926246, 0.070406622401165672, 0.070379688468177742, 0.070355177274358152, 0.070332896548974594, 0.070312667750699456, 0.070294325897620719, 0.070277719199310598, 0.070262708556091166, 0.070249166975657487, 0.070236978945200923, 0.07022603978764097, 0.070216255023092158, 0.070207539750872225, 0.07019981806289402, 0.070193022495886187, 0.070187093527346672, 0.07018197911826074, 0.070177634304269099, 0.070174020836026973, 0.070171106868870695, 0.070168866701519367, 0.070167280563332213, 0.070166334449575346, 0.070166020004179791, 0.070166068958016165, 0.07016621587498105, 0.070166460921510937, 0.070166804375229694, 0.070167246625294818, 0.070167788172881815, 0.070168429631809012, 0.07016917172930319, 0.070170015306907058, 0.070170961321531153, 0.070172010846650631, 0.070173165073649318, 0.07017442531331429, 0.07017579299748021, 0.070177269680830892, 0.070178857042855258, 0.07018055688996544, 0.070182371157776424, 0.070184301913553335, 0.070186351358827545, 0.070188521832185616, 0.070190815812236226, 0.07019323592075602, 0.070195784926019841, 0.07019846574631837, 0.0702012814536669, 0.070204235277708166, 0.070207330609812588, 0.070210571007380151, 0.070213960198344139, 0.0702175020858819, 0.070221200753331603, 0.070225060469318423, 0.070229085693089166, 0.070233281080054971, 0.070237651487541283, 0.07024220198074109, 0.07024693783886804, 0.070251864561501884, 0.070256987875120136, 0.070262313739803586, 0.070267848356102905, 0.070273598172050297, 0.070279569890295879, 0.07028577047534422, 0.07029220716086311, 0.070298887457028933, 0.070305819157869348, 0.070313010348554653, 0.070320469412583006, 0.070328205038795152, 0.070336226228143159, 0.07034454230012735, 0.070353162898801197, 0.070362097998231385, 0.07037135790728051, 0.070380953273564098, 0.070390895086410846, 0.070401194678631845, 0.070411863726878174, 0.070422914250337726, 0.070434358607487341, 0.070446209490580891, 0.070458479917513098, 0.070471183220654446, 0.070484333032199656, 0.070497943265522459, 0.070512028091962053, 0.070526601912407824, 0.070541679322969578, 0.070557275073948045, 0.070573404021231981, 0.070590081069159039, 0.070607321103783191, 0.070625138915385632, 0.070643549108966988, 0.070662566001347252, 0.070682203503395075, 0.070702474985804536, 0.070723393126744055, 0.070744969739619357, 0.070767215579139758, 0.070790140123852457, 0.070813751333339198, 0.070838055378368472, 0.070863056342492722, 0.070888755893911581, 0.070915152926936342, 0.070942243173155062, 0.070970018783499206, 0.070998467883985283, 0.071027574110098982, 0.071057316127871278, 0.071087667153970829, 0.071118594493109671, 0.071150059119387474, 0.071182015339896765, 0.071214410595402095, 0.071247185476344815, 0.071280274065975577, 0.071313604770870745, 0.071347101869677743, 0.071380688114742824, 0.071414288875403575, 0.071447838542722325, 0.071481290265031291, 0.071514630617642766, 0.071547901633233615, 0.071581233899221219, 0.071614896433660508, 0.071649372213053814, 0.071685473231731384, 0.071724516903085178, 0.071768598106578693, 0.071821010551560413, 0.071886900090289418, 0.071974272654908342, 0.072095524983804588, 0.072269686947376829, 0.072525458874648951, 0.072904618365462442, 0.073463825199314409, 0.074269217004516344, 0.075372102448295494, 0.076750963680503118, 0.078225496555895779, 0.079416526075758082, 0.07988176881216319, 0.079416526075756597, 0.078225496555895821, 0.076750963680503312, 0.075372102448295619, 0.074269217004515761, 0.073463825199314242, 0.072904618365462179, 0.072525458874648993, 0.072269686947377079, 0.072095524983804837, 0.071974272654908217, 0.071886900090289155, 0.071821010551560344, 0.071768598106578763, 0.07172451690308522, 0.071685473231731536, 0.071649372213053675, 0.071614896433660202, 0.071581233899221441, 0.071547901633233796, 0.071514630617642669, 0.071481290265031375, 0.071447838542722297, 0.071414288875403617, 0.071380688114742852, 0.071347101869677687, 0.0713136047708708, 0.071280274065975577, 0.071247185476344801, 0.071214410595402247, 0.071182015339896751, 0.071150059119387488, 0.071118594493109755, 0.071087667153970913, 0.071057316127871251, 0.071027574110098884, 0.070998467883985228, 0.070970018783499234, 0.070942243173155062, 0.070915152926936426, 0.070888755893911637, 0.070863056342492667, 0.07083805537836857, 0.070813751333339239, 0.070790140123852374, 0.070767215579139744, 0.070744969739619384, 0.070723393126744083, 0.070702474985804509, 0.07068220350339513, 0.070662566001347307, 0.070643549108966891, 0.070625138915385563, 0.070607321103783219, 0.070590081069158997, 0.070573404021231897, 0.070557275073948073, 0.070541679322969592, 0.070526601912407741, 0.07051202809196197, 0.070497943265522361, 0.07048433303219967, 0.070471183220654432, 0.070458479917513195, 0.070446209490580905, 0.07043435860748741, 0.070422914250337726, 0.070411863726878146, 0.07040119467863179, 0.070390895086410915, 0.070380953273564084, 0.070371357907280455, 0.070362097998231399, 0.070353162898801266, 0.070344542300127433, 0.070336226228143187, 0.070328205038795152, 0.070320469412583006, 0.070313010348554611, 0.070305819157869376, 0.070298887457029016, 0.07029220716086311, 0.070285770475344178, 0.070279569890295865, 0.070273598172050339, 0.070267848356102933, 0.0702623137398036, 0.070256987875120094, 0.070251864561501801, 0.07024693783886804, 0.070242201980741117, 0.070237651487541297, 0.070233281080054916, 0.070229085693089152, 0.070225060469318451, 0.070221200753331631, 0.070217502085881831, 0.070213960198344139, 0.070210571007380027, 0.07020733060981256, 0.070204235277708193, 0.070201281453666942, 0.070198465746318314, 0.0701957849260198, 0.070193235920755978, 0.070190815812236185, 0.070188521832185685, 0.070186351358827531, 0.070184301913553404, 0.070182371157776494, 0.07018055688996544, 0.070178857042855244, 0.07017726968083092, 0.070175792997480335, 0.070174425313314276, 0.070173165073649388, 0.070172010846650631, 0.070170961321531167, 0.070170015306907058, 0.070169171729303148, 0.070168429631809012, 0.070167788172881815, 0.070167246625294777, 0.070166804375229708, 0.070166460921510965, 0.070166215874981105, 0.070166068958016178, 0.070166020004179694, 0.070166044479750014, 0.070166117918009585, 0.070166240353607079, 0.070166411844297852, 0.070166632470956045, 0.070166902337591305, 0.070167221571369121, 0.070167590322636628, 0.070168008764952342, 0.070168477095119544, 0.070168995533224365, 0.070169564322676306, 0.070170183730253924, 0.070170854046151213, 0.070171575584028756, 0.070172348681065935, 0.070173173698015776, 0.070174051019260442, 0.070174981052868707, 0.070175964230652144, 0.070177001008223203, 0.070178091865050626, 0.07017923730451385, 0.07018043785395528, 0.07018169406472903, 0.070183006512245821, 0.070184375796011916, 0.070185802539663708, 0.070187287390993114, 0.070188831021965534, 0.070190434128727927, 0.070192097431605718, 0.070193821675086934, 0.070195607627791604, 0.070197456082426599, 0.070199367855720604, 0.070201343788341308, 0.070203384744788627, 0.070205491613265392, 0.070207665305520681, 0.070209906756663151, 0.070212216924944226, 0.070214596791504102, 0.070217047360081303, 0.070219569656679554, 0.070222164729190184, 0.070224833646965468, 0.070227577500338562, 0.070230397400086284, 0.070233294476829494, 0.070236269880367228, 0.07023932477893767, 0.070242460358401898, 0.070245677821343583, 0.070248978386079117, 0.070252363285570218, 0.070255833766234496, 0.070259391086642253, 0.070263036516097027, 0.070266771333086786, 0.070270596823599804, 0.070274514279294972, 0.070278524995516192, 0.070282630269142513, 0.070286831396260324, 0.070291129669649191, 0.07029552637606698, 0.070300022793323855, 0.070304620187130129, 0.070309319807706314, 0.070314122886139904, 0.070319030630474469, 0.070324044221516391, 0.07032916480834317, 0.070334393503496448, 0.070339731377844245, 0.070345179455094803, 0.070350738705944035, 0.070356410041839998, 0.070362194308345422, 0.070368092278081634, 0.070374104643234611, 0.070380232007605611, 0.070386474878190747, 0.070392833656269319, 0.070399308627988169, 0.070405899954424228, 0.070412607661113222, 0.070419431627030099, 0.070426371573013527, 0.070433427049623007, 0.070440597424425766, 0.070447881868710135, 0.070455279343626109, 0.070462788585761396, 0.070470408092159376, 0.070478136104800984, 0.070485970594568348, 0.070493909244721861, 0.070501949433930441, 0.070510088218897982, 0.070518322316647092, 0.070526648086523869, 0.070535061512006447, 0.070543558182407914, 0.070552133274580597, 0.070560781534745376, 0.070569497260581621, 0.070578274283734616, 0.070587105952914453, 0.070595985117779411, 0.070604904113815217, 0.070613854748446406, 0.070622828288631423, 0.070631815450220445, 0.070640806389369273, 0.070649790696329401, 0.070658757391950155, 0.070667694927248281, 0.070676591186417503, 0.070685433493662811, 0.070694208624257987, 0.070702902820228203, 0.070711501811066099, 0.070719990839883007, 0.070728354695392806, 0.070736577750104432, 0.0707446440050815, 0.07076773754562779, 0.070788820544857342, 0.070807439716537024, 0.07082316285847283, 0.070835607370120915, 0.07084447267968158, 0.070849574631012185, 0.07085087917727001, 0.070848532300456207, 0.070842883099168155, 0.070834497569451094, 0.070824161735295932, 0.070812874314252844, 0.070801830761337725, 0.070792402006460572, 0.070786112220108152, 0.070784620370286447, 0.070789710197209227, 0.070803292705334628, 0.070827424619836751, 0.07086434576165819, 0.070916538214205502, 0.070986810684311688, 0.071078412760220255, 0.071195186003148253, 0.071341762202560971, 0.071523824039743097, 0.071748450421074847, 0.072024578768444467, 0.07236363095174414, 0.072780370278344969, 0.073294086661206126, 0.073930248876378363, 0.07472281898902397, 0.075717491668504291, 0.0769761789506936, 0.078583032478096851, 0.080651949521271388, 0.083334208801999848, 0.086820998831365251, 0.091325460836048686, 0.097006463505272422, 0.10376312658380303, 0.11084881730697593, 0.11656993964251547, 0.11904265373696994, 0.11816210373487793, 0.11550729208027792, 0.11203947050832697, 0.10809293136215756, 0.10413976607610295, 0.10063290959883754, 0.097820213601442052, 0.095785233133582781, 0.094542026648297223, 0.094104637317435291, 0.094531573921215653, 0.095963493943480221, 0.098673629294381573, 0.10315631086490706, 0.11030022238297796, 0.12175011905081784, 0.14070921188743632, 0.17381657607576687, 0.23552805524742412, 0.35526051056567848, 0.55314642845330653, 0.65416449774234053, 0.4923843376171041, 0.32317787684831961, 0.22715440961535213, 0.1751214567981787, 0.14513147092324255, 0.12657713927555839, 0.11436954918740377, 0.10592050487823421, 0.099825322220728346, 0.095275293333535932, 0.091780426821925068, 0.089030572977634059, 0.086821923872828624, 0.085016159980811523, 0.083516743012501116, 0.082254628157878387, 0.081179361369406122, 0.080253366060975842, 0.079448179191533977, 0.07874191279061292, 0.078117505515822028, 0.077561495253699514, 0.077063142509466928, 0.076613794425598875, 0.076206416707273864, 0.075835244557761305, 0.075495519187269225, 0.075183286672872746, 0.074895242807756557, 0.074628612257250593, 0.074381053576227416, 0.074150583911642767, 0.073935518824481544, 0.073734423821596423, 0.073546075027099533, 0.073369427038276938, 0.073203586466572185, 0.073047790004613339, 0.072901386116938735, 0.072763819647267511, 0.072634618784860425, 0.072513383948287047, 0.072399778235198886, 0.072293519157679606, 0.072194371439024158, 0.072102140692773736, 0.072016667841053428, 0.071937824158644997, 0.071865506853204211, 0.0717996351116751, 0.071740146559102186, 0.071686994089256911, 0.071640143037308313, 0.071599568673481967, 0.071565254003576953, 0.071537187867579358, 0.07151536333158777, 0.071499776371085011, 0.071490424845363887, 0.071487307763851843, 0.071489385752768322, 0.071495619113394152, 0.071506006061783048, 0.071520543739228518, 0.071539228383372511, 0.071562055566370714, 0.071589020498776912, 0.071620118397469804, 0.071655344915661306, 0.07169469663277625, 0.07173817160178432, 0.07178576995140766, 0.071837494540506003, 0.071893351661848362, 0.071953351792419282, 0.0720175103873337, 0.072085848714374942, 0.072158394726033831, 0.072235183965748712, 0.07231626050473626, 0.072401677905330114, 0.072491500206056977, 0.072585802922677328, 0.072684674058048224, 0.072788215111777826, 0.072896542078131163, 0.073009786417350758, 0.073128095981260396, 0.073251635868509773, 0.073380589177802616, 0.073515157618591023, 0.073655561927630189, 0.073802042026000839, 0.073954856834190258, 0.074114283642021161, 0.074280616904958352, 0.074454166307992939, 0.074635253902301177, 0.074824210077717251, 0.075021368085592691, 0.075227056772140102, 0.075441591123015364, 0.075665260158070374, 0.075898311655138814, 0.076140933130258881, 0.076393228469330166, 0.076655189607919796, 0.076926662712736668, 0.077207308457782176, 0.077496556245147258, 0.077793552635757282, 0.078097104872993317, 0.078405621242492216, 0.078717051140013636, 0.079028829109459825, 0.079337828702914753, 0.079640333659504903, 0.079932035347881944, 0.08020806629588606, 0.080463079463110737, 0.080691381176660262, 0.080887121902923617, 0.081044543077472608, 0.081158270325814769, 0.081223634460957803, 0.081236993164572252, 0.081196020220260873, 0.081099927545596653, 0.080949589423655391, 0.08074754841608564, 0.080497897083722139, 0.080206046142575607, 0.079878404674229159, 0.079522008421605894, 0.07914413615371349, 0.078751951356105257, 0.078352198437581816, 0.0779509715651059, 0.077553562687699237, 0.077164385364648258, 0.076786963911576939, 0.076423973469995576, 0.076077315549468977, 0.075748214653108076, 0.07543732393640136, 0.075144830720605571, 0.074870555533756142, 0.07461404084718283, 0.074374627657994935, 0.074151519513722022, 0.073943834538074363, 0.073750646587164667, 0.073571016942092352, 0.073404018016489589, 0.073248750500268342, 0.073104355229334422, 0.072970020905018335, 0.072844988612543488, 0.07272855392099245, 0.072620067196551522, 0.072518932630111235, 0.07242460637021729, 0.072336594061776421, 0.072254448017771922, 0.072177764193109811, 0.072106179084181529, 0.072039366642525776, 0.071977035264106065, 0.071918924895496048, 0.071864804283252454, 0.07181446838179989, 0.071767735927318707, 0.07172444717966793, 0.071684461830710575, 0.071647657075072424, 0.071613925838007603, 0.071583175154389278, 0.071555324692684399, 0.071530305417945861, 0.071508058388249446, 0.071488533679521044, 0.071471689434291927, 0.071457491030515422, 0.071445910367184423, 0.071436925264041176, 0.071430518973195745, 0.071426679800949688, 0.071425400838543304], [0.07341135955037198, 0.073414270176842711, 0.073423006539728941, 0.073437582272105048, 0.073458020707928284, 0.073484355812130406, 0.073516633507162504, 0.073554913422197596, 0.073599271101323652, 0.073649800719426284, 0.073706618369827628, 0.073769866007072998, 0.073839716152877211, 0.073916377504835665, 0.074000101628378834, 0.074091190965752368, 0.074190008465896601, 0.074296989232024102, 0.07441265470805182, 0.074537630093114052, 0.074672665902885876, 0.074818664913454222, 0.07497671616657843, 0.075148138342720036, 0.075334535709317724, 0.075537871165358345, 0.075760562849544758, 0.076005613714418732, 0.076276787981372732, 0.076578855477846999, 0.076917936248906776, 0.077301996625454727, 0.077741579833711286, 0.078250910178030583, 0.078849611603669156, 0.079565474481634382, 0.080439088633164166, 0.08153196927826617, 0.082941621342701874, 0.084831416762589831, 0.087495051105873606, 0.091511444709143075, 0.098174557866919338, 0.11095275192603767, 0.14220770192806112, 0.26335657310600225, 0.62818119529477812, 0.14766034044566428, 0.084749057102676342, 0.073336668366479507, 0.070398544792799195, 0.069652660801898428, 0.069617848657897635, 0.069838807336662687, 0.070151721326834157, 0.07049190987676715, 0.07083267997461147, 0.071163082274335057, 0.07147898910584545, 0.071779248730890172, 0.072063937754441823, 0.072333537230334366, 0.072588536382526214, 0.072829243132515875, 0.073055699520460773, 0.073267654178207228, 0.073464569588889597, 0.073645654173318323, 0.073809914932828485, 0.073956228468765053, 0.074083428140765947, 0.074190403734107124, 0.074276207899888841, 0.074340161429118756, 0.074381947778690172, 0.074401686800641437, 0.07439997876448308, 0.07437791258851309, 0.074337036358902028, 0.074279292972270025, 0.074206928138045636, 0.074122381132760637, 0.074028170039550978, 0.073926782625347118, 0.07382058184607336, 0.07371173186315802, 0.073602147120539738, 0.07349346407634029, 0.073387032987994899, 0.073283925846425887, 0.073184956076208521, 0.073090705776965026, 0.073001556847999943, 0.0729177231022098, 0.072839281273713058, 0.072766199550660049, 0.072698362865398214, 0.072635594631863143, 0.072577674942462006, 0.072524355444315847, 0.072475371232520513, 0.072430450150370904, 0.072389319894177129, 0.072351713299997927, 0.072317372153645101, 0.072286049822286855, 0.072257512961598935, 0.072231542510102748, 0.072207934144015593, 0.072186498332422078, 0.072167060104034897, 0.072149458612990963, 0.072133546571581095, 0.072119189601989708, 0.072106265546470691, 0.072094663765384329, 0.072084284444698443, 0.072075037928493915, 0.072066844087381274, 0.072059631730224075, 0.072053338063951436, 0.072047908204325245, 0.072043294739163113, 0.072039457344566668, 0.072036362454088038, 0.072033982980392042, 0.072032298088785474, 0.072031293021940765, 0.072030958975195555, 0.072031011117069443, 0.072031167601893487, 0.072031428607349984, 0.072031794429826254, 0.072032265484791858, 0.072032842307325665, 0.072033525552796837, 0.072034315997698703, 0.072035214540637493, 0.072036222203478883, 0.07203734013265238, 0.072038569600617358, 0.072039912007493115, 0.072041368882853327, 0.072042941887692877, 0.072044632816564341, 0.072046443599892332, 0.072048376306466322, 0.072050433146117851, 0.072052616472584846, 0.072054928786566816, 0.072057372738977915, 0.072059951134398725, 0.072062666934733982, 0.072065523263079551, 0.072068523407803828, 0.072071670826847734, 0.072074969152247453, 0.072078422194885888, 0.072082033949474225, 0.072085808599769943, 0.072089750524032922, 0.072093864300723329, 0.072098154714443252, 0.07210262676212302, 0.072107285659453652, 0.072112136847564165, 0.072117185999941255, 0.072122439029588273, 0.072127902096418284, 0.072133581614872919, 0.072139484261756592, 0.072145616984273839, 0.072151987008252191, 0.072158601846530959, 0.072165469307490376, 0.072172597503691191, 0.072179994860589222, 0.072187670125281142, 0.072195632375232188, 0.072203891026927286, 0.072212455844375176, 0.072221336947387679, 0.072230544819539805, 0.07224009031570626, 0.072249984669049694, 0.072260239497321729, 0.072270866808315501, 0.072281879004285787, 0.072293288885128856, 0.072305109650084659, 0.072317354897693684, 0.072330038623702547, 0.072343175216578973, 0.072356779450248904, 0.072370866473622023, 0.072385451796423833, 0.072400551270788233, 0.072416181068010288, 0.072432357649784326, 0.072449097733185988, 0.072466418248574832, 0.072484336289513493, 0.072502869053715391, 0.072522033773937344, 0.072541847637650966, 0.072562327694229711, 0.072583490748306057, 0.072605353237873357, 0.072627931095643167, 0.07265123959212029, 0.072675293158849547, 0.072700105190310338, 0.072725687823027144, 0.072752051690631078, 0.072779205653887916, 0.072807156505132795, 0.072835908647179648, 0.072865463747658538, 0.072895820370976069, 0.072926973591812605, 0.072958914596413085, 0.072991630281145456, 0.073025102862173466, 0.073059309516075976, 0.073094222079435806, 0.073129806846709652, 0.073166024521312739, 0.073202830396667626, 0.073240174874638408, 0.073278004472321884, 0.073316263530538051, 0.073354896927580113, 0.073393854233550299, 0.073433095934868992, 0.073472602647730256, 0.073512388673541873, 0.073552521907061755, 0.073593153111297424, 0.073634559113118031, 0.073677206845990606, 0.073721848823228631, 0.073769666235000031, 0.073822484350083581, 0.073883097366531911, 0.073955757047350107, 0.074046900022521081, 0.074166203884378432, 0.07432804291718724, 0.074553279981796325, 0.074870890997264822, 0.075317802476937049, 0.075933078618220809, 0.07673961108557216, 0.077706902651665175, 0.078703659780713378, 0.079486052103132671, 0.079786884880500897, 0.079486052103131824, 0.078703659780713392, 0.077706902651665299, 0.076739611085572229, 0.07593307861822042, 0.075317802476936729, 0.074870890997264711, 0.074553279981796422, 0.074328042917187531, 0.074166203884378723, 0.074046900022520956, 0.073955757047349857, 0.073883097366531814, 0.073822484350083678, 0.073769666235000059, 0.073721848823228769, 0.073677206845990495, 0.073634559113117684, 0.073593153111297674, 0.073552521907061963, 0.07351238867354179, 0.07347260264773034, 0.073433095934868964, 0.073393854233550354, 0.073354896927580154, 0.073316263530538009, 0.073278004472321967, 0.073240174874638408, 0.073202830396667612, 0.07316602452131292, 0.073129806846709625, 0.073094222079435833, 0.073059309516076032, 0.073025102862173563, 0.072991630281145428, 0.07295891459641296, 0.072926973591812563, 0.072895820370976083, 0.072865463747658524, 0.072835908647179731, 0.072807156505132864, 0.072779205653887846, 0.072752051690631162, 0.072725687823027158, 0.072700105190310255, 0.072675293158849533, 0.072651239592120317, 0.072627931095643194, 0.072605353237873357, 0.072583490748306112, 0.072562327694229767, 0.072541847637650869, 0.072522033773937289, 0.072502869053715377, 0.072484336289513479, 0.072466418248574749, 0.07244909773318603, 0.07243235764978434, 0.072416181068010205, 0.072400551270788149, 0.072385451796423736, 0.072370866473622023, 0.072356779450248904, 0.072343175216579084, 0.072330038623702547, 0.072317354897693711, 0.072305109650084673, 0.072293288885128801, 0.072281879004285746, 0.07227086680831557, 0.072260239497321702, 0.072249984669049611, 0.072240090315706273, 0.072230544819539888, 0.072221336947387763, 0.07221245584437519, 0.0722038910269273, 0.072195632375232202, 0.072187670125281059, 0.072179994860589236, 0.072172597503691288, 0.072165469307490362, 0.072158601846530918, 0.072151987008252177, 0.072145616984273853, 0.07213948426175662, 0.072133581614872933, 0.072127902096418256, 0.072122439029588203, 0.072117185999941283, 0.072112136847564165, 0.072107285659453679, 0.072102626762122937, 0.072098154714443266, 0.07209386430072337, 0.072089750524032964, 0.072085808599769888, 0.072082033949474211, 0.072078422194885791, 0.072074969152247426, 0.072071670826847747, 0.072068523407803856, 0.072065523263079509, 0.072062666934733968, 0.072059951134398698, 0.072057372738977873, 0.072054928786566913, 0.072052616472584818, 0.07205043314611792, 0.072048376306466377, 0.072046443599892332, 0.072044632816564327, 0.072042941887692905, 0.072041368882853438, 0.072039912007493059, 0.072038569600617441, 0.072037340132652367, 0.072036222203478842, 0.072035214540637521, 0.072034315997698675, 0.072033525552796851, 0.072032842307325692, 0.072032265484791802, 0.072031794429826324, 0.072031428607349998, 0.072031167601893542, 0.072031011117069471, 0.07203095897519543, 0.072030985044678211, 0.072031063265272144, 0.072031193673417093, 0.072031376329854055, 0.072031611319637756, 0.072031898752154114, 0.072032238761141398, 0.072032631504717087, 0.072033077165408924, 0.072033575950189679, 0.07203412809051668, 0.072034733842374341, 0.072035393486321236, 0.072036107327538818, 0.072036875695884406, 0.072037698945945583, 0.072038577457097103, 0.072039511633558692, 0.072040501904454629, 0.072041548723872126, 0.072042652570921531, 0.072043813949793756, 0.072045033389816451, 0.072046311445508174, 0.072047648696628538, 0.072049045748224322, 0.07205050323066943, 0.072052021799700064, 0.07205360213644027, 0.072055244947419578, 0.072056950964580285, 0.072058720945272992, 0.072060555672238388, 0.072062455953574037, 0.072064422622685309, 0.07206645653821582, 0.072068558583958719, 0.072070729668743352, 0.072072970726297592, 0.072075282715081998, 0.072077666618092062, 0.072080123442628805, 0.072082654220030684, 0.072085260005366802, 0.072087941877085435, 0.072090700936616139, 0.072093538307920021, 0.072096455136984164, 0.072099452591256177, 0.072102531859013205, 0.072105694148661401, 0.072108940687959033, 0.072112272723158344, 0.072115691518059577, 0.072119198352971023, 0.072122794523567194, 0.072126481339639809, 0.072130260123730291, 0.072134132209639809, 0.072138098940804862, 0.072142161668530658, 0.072146321750072795, 0.072150580546555695, 0.072154939420719308, 0.072159399734480351, 0.072163962846298432, 0.072168630108332868, 0.072173402863379116, 0.072178282441569153, 0.072183270156824048, 0.072188367303042053, 0.072193575150008002, 0.072198894939008315, 0.072204327878135174, 0.072209875137262736, 0.072215537842678451, 0.072221317071352625, 0.072227213844826499, 0.072233229122702594, 0.072239363795717437, 0.072245618678379447, 0.072251994501152883, 0.072258491902169028, 0.072265111418449615, 0.07227185347662099, 0.07227871838310726, 0.072285706313783157, 0.072292817303076129, 0.072300051232501619, 0.072307407818625602, 0.072314886600442538, 0.072322486926166732, 0.072330207939434468, 0.072338048564918697, 0.072346007493365894, 0.072354083166062844, 0.072362273758757284, 0.072370577165052491, 0.072378990979309707, 0.072387512479101204, 0.072396138607260643, 0.072404865953594674, 0.072413690736324796, 0.072422608783346623, 0.072431615513401715, 0.072440705917276346, 0.072449874539156078, 0.072459115458279294, 0.072468422271054433, 0.072477788073822963, 0.07248720544647079, 0.072496666437108226, 0.072506162548065814, 0.072515684723468671, 0.072525223338678918, 0.072534768191912763, 0.072544308498364019, 0.072553832887183145, 0.072563329401680171, 0.072572785503137449, 0.072582188078630192, 0.072591523453266762, 0.072600777407262507, 0.072609935198269221, 0.072618981589371898, 0.072627900883162663, 0.072636676962275132, 0.072645293336747629, 0.072670014941021904, 0.072692682728556807, 0.072712831973957656, 0.072730021435744419, 0.072743863115957472, 0.072754056041476958, 0.072760422052472365, 0.072762940870214607, 0.072761781290598182, 0.072757325389049804, 0.072750183235967422, 0.072741196796760929, 0.072731433270705761, 0.072722169834414999, 0.072714873279872708, 0.072711179104690202, 0.072712875086327844, 0.072721894284524774, 0.072740321951514891, 0.072770420267117455, 0.072814674460632445, 0.072875864013084393, 0.072957163488751947, 0.073062279340114833, 0.073195632014078443, 0.073362597219954681, 0.073569826876698496, 0.073825679966394997, 0.074140807755027419, 0.074528958889763186, 0.075008101229542892, 0.075602004048403365, 0.076342493566022976, 0.077272694984978615, 0.078451710578694753, 0.079961341422207829, 0.081915552850727505, 0.084473091855955959, 0.087851988742495252, 0.092338762684889997, 0.09826775825091677, 0.10590301169179046, 0.11508049012187663, 0.12447701780746151, 0.13098194974117564, 0.13115307079587576, 0.12522866188350756, 0.11720930385493615, 0.10996858857322581, 0.10407700501762758, 0.099391277672180173, 0.095738730367110739, 0.092975971730496529, 0.090982535270793113, 0.089668326412873575, 0.088982769977292708, 0.088923033846403404, 0.089545514663407821, 0.09098711716204827, 0.093506588831838697, 0.09756577604519262, 0.10399433132826297, 0.11434105562298233, 0.13167353389965503, 0.16252286700573443, 0.2217403887764143, 0.34200069590021182, 0.55304696632800043, 0.65936324683124614, 0.4805697093845796, 0.31121012887336275, 0.21963642097616309, 0.17090470796137766, 0.14296619606083316, 0.12568148906877555, 0.11428355160990039, 0.10636918031540538, 0.10063876996709399, 0.096344815810029988, 0.093034188232798798, 0.090419698796957923, 0.08831229706691221, 0.086583420981299994, 0.085143149818649358, 0.083927030124523211, 0.082887859087967281, 0.081990405120174664, 0.081207924942911833, 0.080519811101341626, 0.079909969076619694, 0.079365676186996748, 0.078876765281069114, 0.078435031534765096, 0.078033795146172813, 0.07766757468588209, 0.077331840126864421, 0.07702282401289226, 0.07673737556868869, 0.076472846886846302, 0.076227003326764201, 0.075997952366482338, 0.075784086644431287, 0.07558403800357609, 0.075396640131940681, 0.075220897967274214, 0.075055962458994485, 0.074901109598879717, 0.074755722872346372, 0.074619278465245797, 0.07449133270179184, 0.074371511298242945, 0.074259500102134834, 0.074155037053992567, 0.074057905161781859, 0.073967926321068231, 0.073884955848305317, 0.07380887762264475, 0.073739599754462606, 0.073677050717466525, 0.073621175896475904, 0.073571934515396967, 0.073529296919925186, 0.073493242197470818, 0.073463756123000268, 0.073440829424117657, 0.073424456362044879, 0.073414633627331527, 0.07341135955037198, 0.073413542195627887, 0.073420089585566825, 0.07343100011977241, 0.073446271254240525, 0.07346589968572266, 0.073489881608433089, 0.073518213041799618, 0.073550890227610494, 0.073587910094640149, 0.073629270788608189, 0.073674972265143315, 0.073725016943298777, 0.073779410417083455, 0.073838162222426285, 0.073901286656982063, 0.073968803650174192, 0.074040739680872894, 0.074117128740042726, 0.074198013335587384, 0.074283445536384912, 0.074373488052105391, 0.074468215344783886, 0.074567714767172028, 0.074672087721560157, 0.074781450830877449, 0.0748959371113328, 0.075015697132462672, 0.075140900145974132, 0.075271735158957576, 0.075408411919568444, 0.075551161773744463, 0.075700238339478282, 0.075855917930051739, 0.076018499638806025, 0.076188304974778687, 0.076365676910032113, 0.076550978164900182, 0.076744588515836029, 0.076946900861268805, 0.077158315723395862, 0.077379233798102576, 0.077610046092039767, 0.077851121107465102, 0.078102788455971836, 0.078365318208884399, 0.078638895236279122, 0.078923587765239195, 0.079219309425302351, 0.079525774177850089, 0.079842443788835427, 0.080168467952190153, 0.08050261786204746, 0.08084321502215043, 0.081188058412748371, 0.081534354816046928, 0.081878659073140139, 0.082216833149777596, 0.082544034829638471, 0.082854748176438051, 0.083142868005113529, 0.083401848792600805, 0.083624924124262257, 0.083805395595507648, 0.083936980325575977, 0.084014194952964777, 0.084032743097854995, 0.083989865355928728, 0.083884608539467734, 0.083717975933826072, 0.083492933029328115, 0.083214261743937187, 0.082888277015442546, 0.082522438402251805, 0.082124902028379479, 0.081704062512417908, 0.08126813032438833, 0.080824779235609143, 0.08038088428793147, 0.079942356290189448, 0.079514066821778667, 0.079099849502855119, 0.078702559143171771, 0.078324169724619933, 0.077965893989250565, 0.077628310608068199, 0.077311488579076076, 0.077015102002643152, 0.076738531342070898, 0.076480949554411704, 0.076241393079283251, 0.076018818693802781, 0.075812147805378607, 0.075620299987374268, 0.075442217575498113, 0.0752768830219257, 0.075123330513124476, 0.074980653139402997, 0.0748480066867446, 0.074724610920295018, 0.074609749051638447, 0.074502765931285853, 0.074403065383000636, 0.074310106995429115, 0.074223402605947564, 0.074142512648465886, 0.074067042488083906, 0.073996638828230085, 0.073930986247858016, 0.073869803905470002, 0.073812842431544262, 0.073759881020074358, 0.073710724722341012, 0.073665201940916747, 0.073623162118623922, 0.073584473615223245, 0.073549021763644973, 0.073516707097283612, 0.073487443740062774, 0.073461157951458009, 0.0734377868193406, 0.073417277094269609, 0.073399584159669656, 0.073384671133119, 0.073372508094743105, 0.073363071439405986, 0.073356343350040251, 0.073352311390045735, 0.073350968213204124], [0.075752287956301387, 0.075755356704000756, 0.075764567853496292, 0.075779936321336255, 0.075801487629974768, 0.0758292589132116, 0.07586330035088254, 0.075903677061862379, 0.075950471495687594, 0.076003786376845933, 0.07606374827287056, 0.07613051187890077, 0.076204265138828553, 0.076285235358448431, 0.076373696511780095, 0.076469978001525135, 0.076574475213421228, 0.076687662308991572, 0.076810107841719891, 0.076942493972156148, 0.077085640318354604, 0.077240533839593561, 0.077408366658478611, 0.077590584447489522, 0.077788949045515712, 0.078005620491946953, 0.078243265931836253, 0.078505206280801196, 0.07879561685019941, 0.079119806527588266, 0.079484613695894102, 0.079898979665097306, 0.080374799081267073, 0.080928215302147152, 0.081581654786045094, 0.082367136727631213, 0.08333188341284048, 0.084548304789383952, 0.086132837621110014, 0.08828413185719744, 0.091367737001008559, 0.096127106509921706, 0.10429878536527198, 0.12085716602004469, 0.16558346790116027, 0.37124568531154439, 0.43003503492861289, 0.11904956345354897, 0.081967285781170532, 0.074218375131007208, 0.072167621893965639, 0.071714039420689782, 0.071797900753515623, 0.072076019541620004, 0.072421217232037358, 0.07278262487698893, 0.073139330971228669, 0.073483005041273794, 0.073810777729188398, 0.074122125853906567, 0.0744174432012394, 0.074697363388772586, 0.074962434286640331, 0.075212963821244247, 0.075448953620249351, 0.075670081463192748, 0.075875714759941065, 0.076064947535155081, 0.07623665804199535, 0.07638958561255145, 0.076522424862081398, 0.076633933595288639, 0.076723048298225391, 0.076788998573739428, 0.076831409997332886, 0.07685038431194105, 0.076846547119860525, 0.076821056358237036, 0.076775569464757859, 0.076712172416364466, 0.076633278688832518, 0.076541509646864903, 0.07643956930434706, 0.076330125687330844, 0.076215708583817293, 0.076098629995459438, 0.075980929919352957, 0.07586434685177687, 0.075750310030949744, 0.07563994905560123, 0.075534116043148636, 0.075433415709534601, 0.075338239406160953, 0.075248800004834929, 0.075165165402380496, 0.075087289209813335, 0.07501503784012814, 0.074948213698571103, 0.074886574520521013, 0.074829849118700026, 0.074777749921480813, 0.074729982734399389, 0.074686254160413426, 0.074646277088888185, 0.074609774621904004, 0.074576482758358709, 0.074546152107440256, 0.074518548856881181, 0.074493455179897292, 0.074470669228616143, 0.074450004831204356, 0.074431290984477899, 0.07441437121299363, 0.07439910284885809, 0.074385356273132863, 0.074373014149192215, 0.074361970670184657, 0.074352130836415273, 0.074343409773640914, 0.074335732099630944, 0.074329031343648405, 0.074323249421543058, 0.074318336167755461, 0.07431424892457604, 0.0743109521883909, 0.074308417312286393, 0.074306622264219857, 0.074305551439945328, 0.07430519552996584, 0.074305251215928195, 0.074305418337170359, 0.074305697083840064, 0.074306087773122684, 0.074306590849652035, 0.074307206886085247, 0.07430793658384463, 0.074308780774026431, 0.074309740418479195, 0.074310816611053515, 0.074312010579025228, 0.074313323684694232, 0.074314757427163813, 0.074316313444299564, 0.074317993514877168, 0.07431979956091668, 0.074321733650212274, 0.074323797999058153, 0.074325994975177945, 0.074328327100860389, 0.074330797056306255, 0.074333407683194436, 0.074336161988468347, 0.0743390631483518, 0.074342114512597826, 0.0743453196089775, 0.074348682148013379, 0.074352206027963885, 0.074355895340065245, 0.074359754374034262, 0.074363787623839703, 0.074367999793745879, 0.074372395804633409, 0.074376980800601539, 0.074381760155854793, 0.074386739481877684, 0.074391924634898035, 0.074397321723640095, 0.074402937117365217, 0.074408777454199632, 0.074414849649742321, 0.074421160905946956, 0.074427718720268168, 0.074434530895058998, 0.07444160554720268, 0.074448951117958545, 0.074456576382995424, 0.074464490462582467, 0.074472702831898024, 0.074481223331413229, 0.074490062177296937, 0.074499229971778283, 0.074508737713394918, 0.07451859680704033, 0.07452881907371306, 0.074539416759851471, 0.074550402546124314, 0.074561789555524949, 0.074573591360596561, 0.074585821989591627, 0.074598495931341186, 0.074611628138580022, 0.074625234029437881, 0.07463932948677382, 0.074653930854986797, 0.07466905493388977, 0.0746847189691906, 0.074700940639060617, 0.074717738036224654, 0.074735129644931744, 0.074753134312109559, 0.074771771211928018, 0.074791059802924609, 0.074811019776772014, 0.074831670997683425, 0.074853033431381846, 0.074875127062483032, 0.074897971799076729, 0.074921587363238382, 0.07494599316616915, 0.074971208166650802, 0.074997250711535249, 0.07502413835706738, 0.075051887669990075, 0.075080514007625346, 0.075110031276491962, 0.075140451669551023, 0.075171785382916897, 0.075204040313898782, 0.07523722174363473, 0.075271332009475334, 0.075306370174802018, 0.075342331707369481, 0.075379208181802659, 0.075416987027981108, 0.075455651355240114, 0.075495179893409786, 0.075535547106779594, 0.075576723557731013, 0.075618676625283626, 0.075661371723529283, 0.075704774220785573, 0.07574885233962253, 0.075793581431666923, 0.075838950185730392, 0.075884969568390651, 0.07593168565061105, 0.075979198000253531, 0.076027686106470468, 0.076077447481051691, 0.076128952852157011, 0.076182926514040003, 0.076240463812818918, 0.076303203399363403, 0.076373579635503078, 0.076455190092296371, 0.076553321817605213, 0.076675678927447435, 0.076833318047535487, 0.07704166665594428, 0.077321145619018969, 0.077696132818186922, 0.078189636408780488, 0.078809669200695612, 0.079524865422794994, 0.080237503266364432, 0.080782934248880153, 0.080989802935457794, 0.08078293424887957, 0.080237503266364474, 0.079524865422794966, 0.078809669200695626, 0.078189636408780239, 0.07769613281818645, 0.077321145619018983, 0.077041666655944432, 0.076833318047535806, 0.07667567892744781, 0.076553321817605088, 0.076455190092296121, 0.076373579635502981, 0.076303203399363501, 0.076240463812818973, 0.076182926514040211, 0.076128952852156873, 0.076077447481051316, 0.076027686106470704, 0.075979198000253739, 0.075931685650610953, 0.07588496956839072, 0.075838950185730336, 0.075793581431666951, 0.075748852339622558, 0.075704774220785503, 0.075661371723529366, 0.075618676625283626, 0.075576723557730985, 0.075535547106779788, 0.075495179893409758, 0.075455651355240141, 0.075416987027981164, 0.07537920818180277, 0.075342331707369453, 0.075306370174801893, 0.075271332009475278, 0.075237221743634758, 0.075204040313898782, 0.075171785382917022, 0.075140451669551106, 0.075110031276491879, 0.075080514007625415, 0.075051887669990117, 0.075024138357067283, 0.074997250711535235, 0.07497120816665083, 0.074945993166169192, 0.074921587363238354, 0.074897971799076785, 0.074875127062483116, 0.074853033431381749, 0.074831670997683356, 0.074811019776772056, 0.074791059802924581, 0.074771771211927934, 0.074753134312109615, 0.07473512964493173, 0.074717738036224557, 0.074700940639060548, 0.074684718969190475, 0.074669054933889811, 0.074653930854986769, 0.074639329486773889, 0.074625234029437881, 0.074611628138580077, 0.074598495931341199, 0.0745858219895916, 0.074573591360596492, 0.074561789555524977, 0.0745504025461243, 0.074539416759851401, 0.074528819073713032, 0.074518596807040399, 0.074508737713395001, 0.074499229971778283, 0.074490062177296951, 0.074481223331413243, 0.074472702831897941, 0.074464490462582467, 0.074456576382995521, 0.07444895111795849, 0.074441605547202638, 0.074434530895058984, 0.074427718720268224, 0.07442116090594697, 0.074414849649742362, 0.07440877745419959, 0.074402937117365162, 0.074397321723640109, 0.074391924634898049, 0.074386739481877684, 0.074381760155854723, 0.074376980800601539, 0.074372395804633465, 0.074367999793745906, 0.074363787623839633, 0.074359754374034248, 0.074355895340065148, 0.074352206027963871, 0.074348682148013406, 0.074345319608977514, 0.074342114512597757, 0.074339063148351744, 0.074336161988468291, 0.074333407683194408, 0.074330797056306339, 0.074328327100860334, 0.074325994975178028, 0.074323797999058236, 0.074321733650212288, 0.07431979956091668, 0.074317993514877195, 0.074316313444299689, 0.074314757427163772, 0.07431332368469433, 0.074312010579025214, 0.074310816611053515, 0.074309740418479195, 0.074308780774026389, 0.074307936583844617, 0.074307206886085289, 0.074306590849651979, 0.074306087773122712, 0.074305697083840133, 0.074305418337170429, 0.074305251215928209, 0.074305195529965729, 0.074305223371375712, 0.074305306908422908, 0.074305446179562487, 0.074305641248894563, 0.074305892206177421, 0.074306199166845888, 0.074306562272033166, 0.074306981688599352, 0.074307457609163532, 0.074307990252140368, 0.074308579861781285, 0.074309226708218989, 0.074309931087516642, 0.074310693321718829, 0.074311513758906683, 0.074312392773254868, 0.074313330765090974, 0.074314328160955692, 0.074315385413664989, 0.074316503002370846, 0.0743176814326241, 0.074318921236433924, 0.074320222972326391, 0.074321587225400415, 0.074323014607379875, 0.074324505756660969, 0.07432606133835358, 0.074327682044316806, 0.074329368593185105, 0.074331121730385419, 0.074332942228143864, 0.074334830885479389, 0.074336788528183484, 0.074338816008783726, 0.074340914206490444, 0.074343084027122225, 0.074345326403010725, 0.074347642292879657, 0.074350032681698305, 0.074352498580504869, 0.074355041026196667, 0.074357661081286747, 0.07436035983361948, 0.07436313839604583, 0.074365997906051348, 0.074368939525335201, 0.074371964439334665, 0.074375073856690913, 0.074378269008651757, 0.074381551148405264, 0.074384921550340544, 0.074388381509227788, 0.074391932339313391, 0.074395575373322101, 0.074399311961361028, 0.074403143469716229, 0.074407071279536469, 0.074411096785393316, 0.07441522139371165, 0.074419446521059723, 0.074423773592289744, 0.074428204038519019, 0.074432739294940375, 0.074437380798451941, 0.074442129985092684, 0.074446988287273558, 0.074451957130789032, 0.074457037931597969, 0.074462232092357056, 0.074467540998695084, 0.074472966015210085, 0.07447850848117514, 0.074484169705936229, 0.074489950963984947, 0.074495853489688665, 0.074501878471660191, 0.0745080270467499, 0.074514300293639424, 0.074520699226020518, 0.074527224785338422, 0.074533877833082102, 0.07454065914260137, 0.074547569390432, 0.074554609147113399, 0.074561778867476766, 0.07456907888039159, 0.074576509377951961, 0.074584070404090624, 0.074591761842606352, 0.074599583404597977, 0.074607534615294097, 0.074615614800276578, 0.074623823071096662, 0.074632158310286051, 0.074640619155774079, 0.074649203984720386, 0.074657910896788762, 0.074666737696885241, 0.074675681877396149, 0.074684740599972932, 0.074693910676913486, 0.074703188552208602, 0.074712570282327015, 0.074722051516831145, 0.07473162747892588, 0.074741292946059426, 0.074751042230714493, 0.07476086916153929, 0.074770767064992916, 0.074780728747695854, 0.07479074647969923, 0.07480081197890337, 0.074810916396885613, 0.07482105030641073, 0.074831203690929354, 0.074841365936382229, 0.074851525825658044, 0.074861671536068097, 0.07487179064022173, 0.074881870110703672, 0.074891896328966978, 0.074901855098868569, 0.074911731665277134, 0.074921510738189034, 0.074931176522778711, 0.0749407127558053, 0.074950102748771619, 0.074959329438212194, 0.074985854693565973, 0.07501027360937175, 0.075032107861647768, 0.075050905253991787, 0.075066270904523377, 0.075077902591732734, 0.075085628169694191, 0.075089442236808801, 0.075089538816567353, 0.075086336865402975, 0.075080496071474351, 0.075072921634243214, 0.075064758356626793, 0.075057376159015643, 0.075052350712767057, 0.075051444017900898, 0.075056590279887037, 0.075069892412638492, 0.075093634106365909, 0.075130311948148606, 0.075182691901229975, 0.075253894851526199, 0.075347517204877826, 0.075467794958853307, 0.075619823646541004, 0.075809852608534622, 0.076045681081725075, 0.076337197047133432, 0.076697119999224503, 0.077142039560551434, 0.077693889202464325, 0.078382067780832607, 0.07924653583211469, 0.080342389809761952, 0.081746681560941808, 0.083568616817281852, 0.085964671210241067, 0.089160227185727095, 0.09347760926499174, 0.099362101408770859, 0.10736882543419328, 0.11799243509186237, 0.13105974949127469, 0.14437130744602564, 0.15248610850513694, 0.14963750283759064, 0.13726242500004074, 0.12311095654869202, 0.11191957009545424, 0.10397633351957354, 0.098361373535431035, 0.094327435063064374, 0.091407358637448408, 0.089314781908630236, 0.087873825296197028, 0.086982518887787144, 0.086595564714702755, 0.086719233713246441, 0.087416799878685364, 0.088827172328412821, 0.09120502996059783, 0.095001825258396386, 0.1010325942956225, 0.11083838703305332, 0.12753163221540301, 0.15792252708024898, 0.21808882798199247, 0.34506062302109897, 0.570871764057444, 0.65413413692518796, 0.45406244196263218, 0.29350635076116111, 0.21026700174164137, 0.16622002618639276, 0.14085858734436529, 0.12506099521415573, 0.11456887127048224, 0.10723339188096777, 0.10188820485398653, 0.097859347445876113, 0.094736298947039679, 0.092257643472012568, 0.090250516321130139, 0.088596858785372601, 0.087213764016989256, 0.086041581662442621, 0.085036472192136447, 0.084165606342756882, 0.083403987659173659, 0.08273229954942303, 0.082135415579945317, 0.08160134900973072, 0.081120499255998194, 0.080685102869240091, 0.080288827777452609, 0.079926469470229786, 0.079593720757674069, 0.079286995332960256, 0.079003291159026545, 0.078740083663063246, 0.078495241473165125, 0.078266959365966268, 0.078053704471361035, 0.077854172772367267, 0.077667253660429841, 0.077492000837730932, 0.077327608252741958, 0.077173390051179208, 0.077028763748453577, 0.076893236000657894, 0.076766390482797334, 0.076647877485223934, 0.076537404919363589, 0.076434730487120475, 0.076339654818750172, 0.076252015424443501, 0.076171681337533284, 0.076098548353753834, 0.076032534792595752, 0.075973577724378585, 0.075921629620972181, 0.075876655399611068, 0.075838629838412969, 0.075807535349363825, 0.075783360099921149, 0.075766096478312464, 0.075755739900239941, 0.075752287956301387, 0.075754589171474845, 0.075761492335246511, 0.075772996042435647, 0.075789098084417209, 0.075809795648452499, 0.075835085595395396, 0.075864964814477368, 0.075899430653558586, 0.075938481422982859, 0.075982116970969696, 0.07603033932832548, 0.076083153420170191, 0.076140567842339801, 0.07620259570013467, 0.076269255507137354, 0.076340572141883181, 0.076416577860251703, 0.076497313361466604, 0.076582828905581601, 0.076673185480189116, 0.076768456013786027, 0.076868726632704165, 0.076974097957648327, 0.077084686434619437, 0.077200625693156832, 0.0773220679222828, 0.077449185251073027, 0.07758217111614224, 0.077721241592244444, 0.077866636654265256, 0.078018621328672016, 0.078177486679455538, 0.078343550557084321, 0.078517158018214558, 0.078698681298002393, 0.078888519184777087, 0.079087095607473359, 0.079294857198411242, 0.079512269536596653, 0.07973981170878694, 0.079977968746615516, 0.0802272214084567, 0.080488032676212684, 0.080760830233814945, 0.08104598409333999, 0.081343778448467505, 0.081654376782444332, 0.081977779266547549, 0.082313771593907042, 0.08266186465389383, 0.083021224928447754, 0.083390596258471811, 0.083768214763481633, 0.08415172026649341, 0.084538069606587565, 0.084923459666599893, 0.085303270633091621, 0.085672042596099909, 0.086023500530945124, 0.086350643216387163, 0.0866459098312517, 0.086901432982791918, 0.087109378250067065, 0.087262358191708078, 0.087353894442474544, 0.0873788874547963, 0.087334042972590703, 0.087218200928953007, 0.08703251861835927, 0.086780476083222077, 0.086467695346330892, 0.086101591703922231, 0.085690898944043359, 0.085245125919557505, 0.084774006489800297, 0.084286998547089598, 0.083792873403512408, 0.083299418437770598, 0.082813257843008026, 0.082339781752433214, 0.081883164546721773, 0.081446448869282637, 0.081031671864100679, 0.08064001300957134, 0.080271947250579914, 0.079927391807895529, 0.079605839325683866, 0.079306473517827755, 0.079028266076057244, 0.078770055363918345, 0.078530608483610417, 0.078308668837498235, 0.078102991472814548, 0.07791236842977943, 0.077735646111203621, 0.077571736426952628, 0.077419623186139111, 0.077278364941686592, 0.077147095250964554, 0.077025021108723321, 0.076911420135433284, 0.076805636963118096, 0.076707079148167628, 0.076615212852192069, 0.076529558463578992, 0.076449686280237919, 0.076375212334764325, 0.076305794414142064, 0.076241128304867789, 0.076180944279169965, 0.076125003827365673, 0.076073096634201101, 0.076025037792370603, 0.075980665243627815, 0.075939837436457672, 0.075902431188786992, 0.075868339744368393, 0.07583747101205876, 0.075809745978066626, 0.075785097282238992, 0.075763467950512781, 0.075744810276717839, 0.075729084847923941, 0.075716259708485917, 0.075706309658801263, 0.075699215685585866, 0.075694964521184765, 0.075693548330060353], [0.07804611854373783, 0.078049345785813962, 0.078059032861664476, 0.078075196032902028, 0.078097863115445615, 0.078127074563881543, 0.078162885019502928, 0.078205365354166265, 0.078254605254554993, 0.078310716406663192, 0.07837383635927514, 0.078444133169124047, 0.078521810960964042, 0.078607116575127617, 0.078700347526233547, 0.078801861563621678, 0.078912088212481357, 0.079031542792414713, 0.079160843568632205, 0.079300732906367119, 0.079452103595034781, 0.079616031920139274, 0.079793819640181868, 0.079987047852451434, 0.080197646928375416, 0.08042798845936712, 0.080681007787596459, 0.080960369709839802, 0.081270696185624047, 0.08161788481094287, 0.082009563008606443, 0.082455750017369253, 0.08296984564871801, 0.083570148666149938, 0.084282263752961606, 0.085143059979194441, 0.086207467255831047, 0.087560757686033885, 0.089342152185326401, 0.09179378619256906, 0.09537254674808078, 0.1010398042557674, 0.11115315170025239, 0.13299241692385849, 0.19937292604849705, 0.53725181633879537, 0.26896987754952462, 0.10393686336823865, 0.080777361763125791, 0.07541967798704681, 0.074010472471287059, 0.073781438702801891, 0.073960288107920089, 0.074285652364703247, 0.074658315872025871, 0.07503828221770506, 0.075409288909270622, 0.07576514041660197, 0.076103999930291349, 0.076425858924497311, 0.076731366503228399, 0.077021272670565993, 0.077296161041724862, 0.077556323705301036, 0.077801709786755657, 0.078031916024132258, 0.078246205391813192, 0.078443548371511795, 0.07862268523884916, 0.078782208690825209, 0.078920665248860891, 0.079036671731193761, 0.079129040254265981, 0.079196902355145496, 0.079239820690120519, 0.07925787610635697, 0.079251719232673892, 0.079222579192121986, 0.079172227157319919, 0.079102898310445979, 0.079017181137951045, 0.078917886779728191, 0.078807912672089947, 0.078690113872180084, 0.07856719268645744, 0.078441613362220275, 0.078315544533788417, 0.078190828579547886, 0.078068974484614834, 0.077951169348008123, 0.077838303212804799, 0.077731002185294482, 0.077629665558302238, 0.077534503608419431, 0.077445573705451937, 0.077362813235327135, 0.077286068537048669, 0.07721511957679203, 0.07714970044212878, 0.077089515964332792, 0.077034254898237051, 0.076983600136714292, 0.076937236435320785, 0.076894856091233865, 0.076856162973333531, 0.076820875246705639, 0.076788727081161537, 0.076759469583162654, 0.076732871145711673, 0.07670871737200495, 0.076686810695943547, 0.076666969795540649, 0.076649028873226693, 0.076632836859348394, 0.076618256581097097, 0.076605163928061618, 0.076593447037024615, 0.076583005512022836, 0.076573749690684589, 0.076565599964098993, 0.076558486154698249, 0.076552346954627759, 0.076547129425670504, 0.076542788560833894, 0.076539286907107193, 0.076536594248557382, 0.076534687348791305, 0.076533549751822735, 0.076533171640497374, 0.076533230932672114, 0.076533408876785294, 0.076533705675692759, 0.076534121667783589, 0.076534657327425704, 0.076535313265589794, 0.07653609023065458, 0.076536989109393688, 0.076538010928146119, 0.076539156854173881, 0.076540428197207605, 0.076541826411184177, 0.076543353096180142, 0.076545010000541785, 0.076546799023220702, 0.076548722216313772, 0.07655078178781631, 0.076552980104590745, 0.0765553196955579, 0.076557803255115145, 0.07656043364678683, 0.076563213907116151, 0.076566147249800515, 0.076569237070080051, 0.076572486949385038, 0.076575900660249344, 0.076579482171496724, 0.07658323565370706, 0.076587165484970868, 0.076591276256937416, 0.076595572781165092, 0.076600060095780131, 0.076604743472450401, 0.076609628423680798, 0.076614720710435055, 0.07662002635009027, 0.076625551624727686, 0.076631303089762251, 0.076637287582913591, 0.076643512233519312, 0.076649984472187974, 0.076656712040788832, 0.07666370300277256, 0.076670965753813894, 0.076678509032763492, 0.076686341932893684, 0.076694473913416161, 0.0767029148112474, 0.076711674852987563, 0.076720764667076224, 0.076730195296077747, 0.076739978209040119, 0.076750125313862827, 0.076760648969595419, 0.076771561998578805, 0.07678287769832276, 0.076794609853000198, 0.076806772744418439, 0.076819381162306674, 0.076832450413737707, 0.076845996331474486, 0.076860035281004949, 0.076874584165993812, 0.076889660431850512, 0.076905282067068856, 0.076921467601953744, 0.076938236104307306, 0.07695560717159089, 0.076973600919034518, 0.07699223796309948, 0.07701153939964818, 0.077031526776106779, 0.077052222056844033, 0.077073647580927426, 0.077095826011348567, 0.077118780274757159, 0.07714253349068563, 0.077167108889207567, 0.077192529715949171, 0.077218819123374693, 0.0772460000472978, 0.077274095067657145, 0.077303126252732848, 0.077333114986207332, 0.07736408177680619, 0.07739604605072882, 0.077429025927732584, 0.077463037982631766, 0.077498096995171087, 0.0775342156928331, 0.077571404493263302, 0.07760967125578172, 0.077649021055136103, 0.077689455995481854, 0.077730975088958557, 0.077773574231654083, 0.077817246320943917, 0.077861981573120687, 0.077907768120307169, 0.077954592992816513, 0.078002443630245388, 0.078051310115719086, 0.078101188398834342, 0.078152084872712232, 0.078204022812045831, 0.07825705138126765, 0.078311258213231191, 0.0783667869810976, 0.078423862001114952, 0.078482822801065777, 0.078544172894312619, 0.078608648880211296, 0.078677318646012823, 0.078751721037231423, 0.078834063817655314, 0.078927501185811114, 0.079036513507138972, 0.079167401880282179, 0.079328868350274279, 0.079532534898328025, 0.079792978746919055, 0.08012631767748804, 0.080545558438008993, 0.081050383124647407, 0.081610802492155854, 0.082151492304245843, 0.082555617090303596, 0.082706960968668836, 0.082555617090303221, 0.082151492304245843, 0.081610802492155785, 0.081050383124647352, 0.080545558438008827, 0.080126317677487471, 0.079792978746919138, 0.079532534898328178, 0.079328868350274612, 0.079167401880282609, 0.079036513507138847, 0.078927501185810836, 0.078834063817655189, 0.078751721037231479, 0.078677318646012878, 0.07860864888021149, 0.078544172894312481, 0.078482822801065416, 0.078423862001115188, 0.07836678698109778, 0.07831125821323108, 0.078257051381267748, 0.078204022812045776, 0.078152084872712274, 0.078101188398834384, 0.078051310115718989, 0.078002443630245472, 0.077954592992816527, 0.077907768120307141, 0.077861981573120867, 0.077817246320943875, 0.077773574231654083, 0.07773097508895864, 0.077689455995481979, 0.077649021055136089, 0.077609671255781623, 0.07757140449326326, 0.077534215692833142, 0.077498096995171101, 0.077463037982631877, 0.077429025927732639, 0.077396046050728751, 0.077364081776806273, 0.077333114986207319, 0.077303126252732737, 0.077274095067657089, 0.0772460000472978, 0.077218819123374749, 0.077192529715949185, 0.077167108889207636, 0.077142533490685686, 0.077118780274757048, 0.077095826011348484, 0.07707364758092744, 0.077052222056844019, 0.07703152677610671, 0.077011539399648235, 0.076992237963099466, 0.076973600919034407, 0.076955607171590792, 0.076938236104307209, 0.076921467601953758, 0.076905282067068828, 0.076889660431850609, 0.076874584165993826, 0.076860035281004976, 0.076845996331474514, 0.076832450413737652, 0.076819381162306632, 0.076806772744418522, 0.076794609853000212, 0.076782877698322691, 0.076771561998578833, 0.076760648969595502, 0.076750125313862952, 0.076739978209040161, 0.076730195296077733, 0.076720764667076224, 0.07671167485298748, 0.076702914811247414, 0.076694473913416272, 0.076686341932893656, 0.076678509032763464, 0.076670965753813894, 0.076663703002772574, 0.076656712040788874, 0.076649984472188001, 0.076643512233519298, 0.076637287582913535, 0.076631303089762251, 0.076625551624727686, 0.076620026350090298, 0.076614720710434972, 0.076609628423680798, 0.076604743472450443, 0.076600060095780159, 0.076595572781165022, 0.076591276256937402, 0.076587165484970771, 0.076583235653707032, 0.076579482171496738, 0.076575900660249357, 0.076572486949384982, 0.076569237070079996, 0.076566147249800473, 0.076563213907116123, 0.076560433646786913, 0.076557803255115103, 0.076555319695557997, 0.076552980104590829, 0.076550781787816324, 0.076548722216313758, 0.07654679902322073, 0.076545010000541883, 0.0765433530961801, 0.076541826411184247, 0.076540428197207577, 0.076539156854173868, 0.076538010928146133, 0.076536989109393647, 0.076536090230654566, 0.076535313265589794, 0.07653465732742562, 0.076534121667783617, 0.076533705675692801, 0.07653340887678535, 0.076533230932672128, 0.076533171640497263, 0.076533201284893188, 0.076533290231571544, 0.076533438521007607, 0.076533646220668716, 0.07653391342502805, 0.076534240255583794, 0.076534626860882041, 0.076535073416546487, 0.076535580125311933, 0.076536147217062464, 0.076536774948874536, 0.076537463605063291, 0.076538213497233984, 0.076539024964335012, 0.07653989837271559, 0.076540834116184994, 0.076541832616074432, 0.076542894321299862, 0.076544019708426669, 0.076545209281732862, 0.076546463573274298, 0.076547783142946704, 0.076549168578546184, 0.07655062049582749, 0.076552139538557676, 0.07655372637856514, 0.076555381715782023, 0.07655710627828069, 0.076558900822300033, 0.076560766132262564, 0.076562703020780151, 0.076564712328646298, 0.076566794924813608, 0.07656895170635418, 0.076571183598402523, 0.07657349155407564, 0.076575876554371841, 0.076578339608042251, 0.07658088175143532, 0.076583504048310061, 0.076586207589614, 0.076588993493225829, 0.076591862903655564, 0.076594816991701675, 0.076597856954058754, 0.076600984012873935, 0.07660419941524603, 0.076607504432662857, 0.076610900360372602, 0.076614388516682591, 0.076617970242181782, 0.076621646898878237, 0.076625419869248063, 0.07662929055518658, 0.076633260376856652, 0.076637330771424428, 0.076641503191677299, 0.076645779104511549, 0.07665015998928526, 0.076654647336023382, 0.076659242643466879, 0.076663947416954925, 0.076668763166128209, 0.076673691402443886, 0.07667873363648707, 0.076683891375068591, 0.076689166118093705, 0.076694559355189512, 0.076700072562073993, 0.076705707196654732, 0.076711464694838138, 0.076717346466034758, 0.076723353888343684, 0.076729488303397722, 0.076735751010851477, 0.076742143262494497, 0.076748666255970349, 0.076755321128081977, 0.076762108947664831, 0.076769030708007377, 0.07677608731880059, 0.076783279597596135, 0.076790608260753873, 0.076798073913862383, 0.076805677041611231, 0.076813417997101369, 0.076821296990576174, 0.076829314077560149, 0.076837469146391529, 0.076845761905142543, 0.076854191867915922, 0.076862758340517895, 0.076871460405505868, 0.076880296906615367, 0.076889266432578429, 0.076898367300343828, 0.076907597537728675, 0.076916954865524495, 0.076926436679098639, 0.076936040029539021, 0.076945761604397325, 0.076955597708102508, 0.076965544242122902, 0.076975596684975112, 0.076985750072186818, 0.076995998976340463, 0.07700633748734198, 0.077016759193073173, 0.077027257160610138, 0.077037823918208542, 0.077048451438278667, 0.077059131121592961, 0.077069853782995718, 0.0770806096389028, 0.077091388296907454, 0.077102178747825129, 0.077112969360538505, 0.077123747880020271, 0.077134501428932675, 0.0771452165132199, 0.077155879032121705, 0.077166474293050458, 0.077176987031776029, 0.07718740143836747, 0.077197701189332238, 0.07720786948638568, 0.07721788910225881, 0.077227742433929977, 0.077256124394901385, 0.077282354432953046, 0.07730594179776526, 0.077326424627886289, 0.077343402551618826, 0.077356573581967972, 0.077365773146000474, 0.077371012351737337, 0.077372512172079536, 0.077370730300207788, 0.077366378115158951, 0.077360426472800226, 0.077354100740305742, 0.077348867335623281, 0.07734641568788421, 0.077348640726495846, 0.077357631602777491, 0.077375672395854647, 0.077405260266112275, 0.077449146215336745, 0.07751040365563383, 0.0775925307400116, 0.077699594221585511, 0.077836425882009161, 0.078008887836431659, 0.078224231104667308, 0.078491584077627546, 0.078822626122314082, 0.079232530235807411, 0.079741303496576058, 0.080375725289711181, 0.081172198017222807, 0.082181011787279268, 0.083472830028048062, 0.085148698875758419, 0.087355662704527617, 0.090311182363616099, 0.09434070207254272, 0.09993203785685309, 0.10780012622466542, 0.11890982876047092, 0.13425095474361667, 0.1537994047951205, 0.17391340205772454, 0.1849151483981869, 0.17711816399782976, 0.15492081602431368, 0.13244863570064139, 0.11641220447536342, 0.10604753923651219, 0.099279142138894078, 0.094692560080180441, 0.091487131313042813, 0.089213731328794565, 0.087613963903557218, 0.086538765734605588, 0.085908671486777832, 0.085695770149906508, 0.085918869809657933, 0.086649687890508004, 0.088032600255585583, 0.090326682182434836, 0.093990936472219108, 0.099862190655792854, 0.10954953481969776, 0.12637941780788101, 0.15785585374264915, 0.22236560171670303, 0.36328781097350293, 0.60444173238132859, 0.6337128723228741, 0.41709040916863405, 0.27243556641531758, 0.19965242207704098, 0.16095358944655488, 0.13841756228019306, 0.12421638243591518, 0.11468497336492675, 0.10795912061176442, 0.10301798205197966, 0.099266648181720679, 0.096339906356373906, 0.094003534196402339, 0.092101648922378335, 0.090527166412467205, 0.08920448652136366, 0.088078952074182079, 0.087110215131754945, 0.086267938468018113, 0.085528937181551121, 0.084875233579241385, 0.084292705861226336, 0.083770131657687041, 0.083298499507071258, 0.082870505535765346, 0.082480180315794904, 0.082122608639719527, 0.081793716557231, 0.081490107736060358, 0.08120893642730416, 0.08094780789610348, 0.080704699670856722, 0.080477898721577235, 0.08026595093247349, 0.080067620139611995, 0.079881854665617105, 0.079707759770871023, 0.079544574803690107, 0.079391654104834578, 0.079248450928724359, 0.079114503802199906, 0.078989424864021857, 0.078872889823631026, 0.078764629252576102, 0.078664420981332084, 0.078572083421582992, 0.07848746967209938, 0.078410462297087286, 0.078340968690846557, 0.078278916962807712, 0.078224252293446317, 0.078176933724773939, 0.078136931359620132, 0.078104223952142768, 0.078078796878240264, 0.078060640479130444, 0.078049748774513192, 0.07804611854373783, 0.078048538608272794, 0.078055798394381912, 0.078067896722796348, 0.078084831771924573, 0.078106601292969369, 0.078133202909766927, 0.078164634502090602, 0.078200894670862497, 0.078241983283493827, 0.078287902097399789, 0.078338655459624026, 0.078394251080469823, 0.078454700879057523, 0.078520021898803333, 0.078590237290949619, 0.078665377364420974, 0.078745480700467996, 0.078830595330687786, 0.078920779977118535, 0.079016105353090477, 0.079116655523344653, 0.079222529321534924, 0.079333841822493256, 0.079450725865489943, 0.079573333622971379, 0.079701838206767434, 0.079836435300303085, 0.079977344800636063, 0.080124812447852661, 0.080279111411063517, 0.08044054378942822, 0.080609441972681009, 0.080786169787756601, 0.080971123335393635, 0.081164731391970321, 0.081367455215990508, 0.081579787554191763, 0.081802250587627495, 0.08203539249166307, 0.082279782204155036, 0.082536001902028588, 0.082804636577719984, 0.083086259984654923, 0.083381416088608204, 0.083690595026710682, 0.084014202450853948, 0.084352521037957318, 0.084705662917467631, 0.085073511841670987, 0.085455654168710635, 0.085851298221376784, 0.086259182422840294, 0.086677473898535459, 0.08710366106820662, 0.08753444619239889, 0.087965646856933352, 0.088392118802734107, 0.088807715942616494, 0.089205306177062502, 0.089576862758351014, 0.089913649272674576, 0.090206510637389964, 0.090446272066050992, 0.090624232862690862, 0.090732723679789032, 0.090765677619639565, 0.090719151656416835, 0.090591729955800546, 0.090384748161558032, 0.09010229819073598, 0.089751003469722132, 0.089339588575465131, 0.088878297184254801, 0.088378231340408203, 0.087850689741450647, 0.087306573447794938, 0.086755908071051852, 0.086207507755583765, 0.085668783654334835, 0.085145682022367164, 0.084642726257612114, 0.08416313302860183, 0.083708973622692515, 0.083281355927265724, 0.082880608230760072, 0.082506451940634759, 0.082158155518350498, 0.081834666036792347, 0.081534717707135343, 0.081256918625178712, 0.080999818061955109, 0.080761957094633213, 0.080541905441352896, 0.080338287186750873, 0.080149797779850984, 0.0799752143315407, 0.079813400884331503, 0.079663310000324478, 0.079523981727557994, 0.079394540764118615, 0.079274192442124844, 0.079162217995625464, 0.079057969452130714, 0.078960864391280583, 0.078870380740784313, 0.078786051724613407, 0.078707461037571397, 0.078634238290571826, 0.078566054749638334, 0.078502619376725813, 0.078443675170344423, 0.07838899579739865, 0.078338382503670451, 0.078291661288261913, 0.078248680326507503, 0.07820930762596838, 0.078173428900818326, 0.078140945651007807, 0.078111773433873793, 0.078085840317243332, 0.078063085504464821, 0.078043458123151804, 0.078026916170679972, 0.078013425610653608, 0.078002959615604869, 0.077995497952136436, 0.077991026505569383, 0.077989536941901208], [0.080301421995078504, 0.080304809113002446, 0.080314976283768783, 0.080331941187303538, 0.080355734057787453, 0.080386398851123891, 0.080423994912418598, 0.080468599178940198, 0.080520308967786142, 0.080579245414319683, 0.080645557648437394, 0.080719427822242756, 0.080801077136629165, 0.080890773058049051, 0.080988837973706956, 0.081095659608176621, 0.081211703623436576, 0.081337528956557714, 0.081473806627685066, 0.081621342994177171, 0.081781108762004895, 0.081954275533206236, 0.082142262328985999, 0.08234679547473775, 0.082569986609707144, 0.082814435617811696, 0.083083368334111743, 0.083380823567681811, 0.083711911314675078, 0.084083175776769728, 0.084503116084621466, 0.084982950209984906, 0.085537764383616779, 0.086188293088765244, 0.08696376822526182, 0.087906658070881355, 0.089080913199398828, 0.090587107789476637, 0.092592119460271502, 0.095392220417444565, 0.099561802506379235, 0.10635532770134688, 0.11902056652869329, 0.14848090752379928, 0.25138871901998577, 0.66304489778482634, 0.1851551847837864, 0.095671384335597798, 0.08058074427267152, 0.076843652183393993, 0.075907835298472573, 0.075853356743481315, 0.076108800904254828, 0.076473438515167927, 0.076869610983480857, 0.077265933512986273, 0.077649893585338137, 0.078017036664167247, 0.078366370912100622, 0.078698306201043858, 0.079013693877458366, 0.079313368804135781, 0.079597929988087124, 0.079867639212398714, 0.080122381658552955, 0.080361662980527077, 0.080584632124430025, 0.08079012635423341, 0.080976737978483454, 0.081142902768146369, 0.081287008789184781, 0.081407521859535689, 0.081503120619737565, 0.081572830972915719, 0.081616147235264613, 0.08163312657006061, 0.081624444746158653, 0.081591405077808113, 0.081535898066399159, 0.081460315723544729, 0.081367430471100871, 0.081260252656480944, 0.08114188233125566, 0.081015369922910849, 0.080883597312812222, 0.08074918653685699, 0.080614438845625178, 0.080481303005816324, 0.080351368968440112, 0.080225881499547486, 0.080105767929566724, 0.079991674544828723, 0.079884007000331478, 0.079782971195180283, 0.079688612114853397, 0.079600849081015515, 0.079519506601182843, 0.079444340566387231, 0.079375059923313951, 0.079311344180042986, 0.079252857226638454, 0.079199257995821323, 0.07915020848166579, 0.079105379596332084, 0.07906445529114664, 0.079027135308903873, 0.078993136875497916, 0.078962195584528383, 0.078934065680228996, 0.078908519902534613, 0.078885349023239876, 0.078864361173470732, 0.07884538103938718, 0.078828248984376056, 0.078812820141230561, 0.078798963506260214, 0.078786561058333954, 0.078775506919004368, 0.078765706564681834, 0.078757076097956222, 0.078749541582323501, 0.078743038442533247, 0.07873751093135363, 0.078732911662596189, 0.078729201209659663, 0.078726347768535154, 0.0787243268841053, 0.078723121238611929, 0.078722720501317137, 0.078722783478375913, 0.078722972481478484, 0.078723287726499974, 0.078723729573552212, 0.078724298527466055, 0.078724995238466336, 0.078725820503042762, 0.078726775265018228, 0.078727860616815151, 0.078729077800925307, 0.078730428211583048, 0.078731913396646896, 0.078733535059694021, 0.078735295062328056, 0.078737195426710677, 0.07873923833831542, 0.078741426148914134, 0.078743761379798299, 0.078746246725243621, 0.078748885056222906, 0.078751679424373069, 0.078754633066227153, 0.078757749407714003, 0.078761032068936365, 0.078764484869234819, 0.078768111832545326, 0.078771917193059302, 0.078775905401194293, 0.078780081129885771, 0.078784449281206217, 0.07878901499332322, 0.078793783647803581, 0.078798760877272986, 0.078803952573439667, 0.078809364895489578, 0.07881500427886183, 0.078820877444410423, 0.078826991407959235, 0.078833353490253527, 0.078839971327314934, 0.078846852881199303, 0.078854006451159184, 0.078861440685208936, 0.078869164592088231, 0.078877187553616043, 0.078885519337424881, 0.078894170110059336, 0.078903150450419846, 0.078912471363525194, 0.078922144294562832, 0.078932181143188479, 0.078942594278026273, 0.078953396551314073, 0.078964601313625551, 0.07897622242859087, 0.078988274287521448, 0.079000771823831584, 0.079013730527130385, 0.079027166456839187, 0.079041096255167503, 0.079055537159257699, 0.079070507012281022, 0.079086024273236993, 0.079102108025179113, 0.079118777981552521, 0.079136054490288571, 0.079153958535266411, 0.07917251173469747, 0.079191736335951696, 0.079211655206284426, 0.079232291818879447, 0.079253670233564874, 0.079275815071507549, 0.079298751483144039, 0.07932250510855185, 0.079347102029432945, 0.07937256871184771, 0.079398931938826287, 0.079426218731995055, 0.079454456261399034, 0.079483671742780371, 0.079513892321720209, 0.079545144944260571, 0.079577456213936096, 0.079610852235580995, 0.079645358446874384, 0.07968099943938986, 0.079717798771987966, 0.079755778780798176, 0.079794960391881775, 0.079835362945078425, 0.079877004040653357, 0.079919899424424415, 0.079964062932291455, 0.080009506521916351, 0.080056240428167696, 0.080104273490533603, 0.080153613715893537, 0.080204269160092045, 0.080256249238368715, 0.080309566610317018, 0.080364239833056503, 0.080420297041595132, 0.080477781004891419, 0.080536756029855508, 0.080597317357881962, 0.08065960394000346, 0.080723815816746258, 0.080790237808246693, 0.080859271894797288, 0.080931481608950084, 0.081007653047479103, 0.081088878805447726, 0.081176673194349028, 0.081273129178592807, 0.081381128383587908, 0.08150461219449795, 0.081648906999188919, 0.081821053963312199, 0.082029991916769365, 0.082286229729092497, 0.082600270803713904, 0.08297857603771315, 0.083415755696293684, 0.083883329167698653, 0.084320572885305145, 0.084640021236622495, 0.084758217506017919, 0.084640021236622273, 0.084320572885305173, 0.083883329167698556, 0.08341575569629367, 0.082978576037713039, 0.082600270803713238, 0.08228622972909265, 0.08202999191676956, 0.081821053963312573, 0.081648906999189336, 0.081504612194497811, 0.081381128383587589, 0.081273129178592723, 0.081176673194349125, 0.081088878805447781, 0.081007653047479269, 0.080931481608949932, 0.080859271894796844, 0.080790237808246929, 0.080723815816746494, 0.080659603940003349, 0.080597317357882059, 0.080536756029855466, 0.080477781004891502, 0.080420297041595146, 0.080364239833056406, 0.080309566610317115, 0.080256249238368743, 0.080204269160092004, 0.080153613715893732, 0.080104273490533576, 0.08005624042816771, 0.080009506521916435, 0.07996406293229158, 0.079919899424424401, 0.079877004040653232, 0.079835362945078384, 0.079794960391881831, 0.079755778780798148, 0.079717798771988049, 0.079680999439389916, 0.079645358446874301, 0.079610852235581078, 0.079577456213936082, 0.079545144944260474, 0.079513892321720181, 0.079483671742780412, 0.079454456261399076, 0.079426218731995041, 0.079398931938826314, 0.07937256871184778, 0.079347102029432834, 0.079322505108551766, 0.079298751483144053, 0.079275815071507522, 0.079253670233564805, 0.079232291818879516, 0.079211655206284426, 0.079191736335951612, 0.079172511734697401, 0.0791539585352663, 0.079136054490288585, 0.079118777981552493, 0.07910210802517921, 0.079086024273236966, 0.079070507012281063, 0.079055537159257699, 0.079041096255167448, 0.079027166456839146, 0.079013730527130469, 0.079000771823831556, 0.078988274287521379, 0.078976222428590898, 0.078964601313625662, 0.078953396551314184, 0.078942594278026273, 0.078932181143188479, 0.078922144294562818, 0.078912471363525125, 0.078903150450419887, 0.078894170110059433, 0.078885519337424867, 0.078877187553615974, 0.078869164592088203, 0.078861440685208978, 0.078854006451159211, 0.078846852881199317, 0.078839971327314878, 0.078833353490253444, 0.078826991407959207, 0.078820877444410437, 0.078815004278861789, 0.078809364895489509, 0.078803952573439695, 0.078798760877273041, 0.078793783647803622, 0.078789014993323137, 0.078784449281206176, 0.07878008112988566, 0.078775905401194307, 0.078771917193059343, 0.078768111832545382, 0.078764484869234749, 0.078761032068936337, 0.078757749407713948, 0.078754633066227125, 0.078751679424373125, 0.07874888505622285, 0.078746246725243718, 0.078743761379798355, 0.078741426148914148, 0.078739238338315407, 0.078737195426710704, 0.078735295062328167, 0.078733535059693965, 0.078731913396646952, 0.078730428211583034, 0.078729077800925321, 0.078727860616815193, 0.078726775265018173, 0.078725820503042776, 0.078724995238466336, 0.078724298527466041, 0.07872372957355224, 0.078723287726500002, 0.078722972481478568, 0.078722783478375954, 0.078722720501317012, 0.07872275198803097, 0.078722846462343316, 0.078723003966769678, 0.078723224572177924, 0.078723508377803175, 0.07872385551126726, 0.078724266128603074, 0.07872474041428501, 0.078725278581264657, 0.07872588087100986, 0.078726547553550186, 0.078727278927525013, 0.078728075320237234, 0.078728937087708464, 0.078729864614739242, 0.078730858314970703, 0.078731918630949208, 0.078733046034191428, 0.078734241025252033, 0.078735504133789297, 0.07873683591863298, 0.078738236967848624, 0.078739707898800734, 0.078741249358212945, 0.078742862022223678, 0.078744546596436843, 0.078746303815965674, 0.078748134445470075, 0.07875003927918349, 0.078752019140929774, 0.07875407488412868, 0.078756207391786598, 0.078758417576472062, 0.078760706380273438, 0.078763074774737707, 0.078765523760786188, 0.078768054368607052, 0.07877066765751968, 0.078773364715810826, 0.078776146660537352, 0.078779014637292699, 0.078781969819936154, 0.078785013410277188, 0.078788146637715231, 0.078791370758827486, 0.078794687056902762, 0.078798096841415893, 0.078801601447437045, 0.078805202234971977, 0.078808900588226663, 0.078812697914791688, 0.078816595644738183, 0.078820595229620483, 0.078824698141377506, 0.078828905871125649, 0.078833219927834652, 0.078837641836880148, 0.078842173138460078, 0.078846815385870309, 0.078851570143626093, 0.078856438985420496, 0.078861423491908403, 0.078866525248304467, 0.078871745841783941, 0.078877086858671328, 0.078882549881406597, 0.078888136485272251, 0.078893848234868891, 0.078899686680321962, 0.078905653353206248, 0.078911749762169789, 0.078917977388240912, 0.078924337679801296, 0.078930832047206453, 0.078937461857035027, 0.078944228425947713, 0.078951133014137614, 0.078958176818350406, 0.078965360964456041, 0.078972686499550637, 0.078980154383570478, 0.078987765480396044, 0.078995520548427567, 0.079003420230615143, 0.079011465043920912, 0.079019655368201866, 0.079027991434492323, 0.079036473312676644, 0.079045100898536211, 0.079053873900165744, 0.07906279182374798, 0.079071853958687419, 0.079081059362102898, 0.079090406842683758, 0.079099894943924082, 0.079109521926747181, 0.079119285751551083, 0.079129184059701943, 0.079139214154517551, 0.079149372981794031, 0.079159657109932613, 0.079170062709744554, 0.07918058553401594, 0.079191220896936407, 0.079201963653505209, 0.079212808179047536, 0.079223748348993081, 0.079234777519083407, 0.079245888506198597, 0.079257073570013839, 0.079268324395719458, 0.079279632078056259, 0.079290987106949207, 0.079302379355038144, 0.079313798067435159, 0.079325231854054157, 0.079336668684888229, 0.079348095888626347, 0.079359500155022952, 0.079370867541450854, 0.079382183484081131, 0.079393432814146403, 0.079404599779745844, 0.079415668073655007, 0.0794266208675935, 0.079437440853395574, 0.0794481102915017, 0.079458611067165633, 0.079488916052813399, 0.07951703009101882, 0.079542450988363919, 0.079564708321002972, 0.079583397449918825, 0.079598217966597315, 0.079609014343606163, 0.079615815818176616, 0.079618872116879347, 0.079618681723900603, 0.079616010115737115, 0.079611896712346461, 0.07960765105903142, 0.079604840664060955, 0.079605274641313173, 0.079610988570840022, 0.079624236664430109, 0.0796474974655524, 0.079683499152933879, 0.079735270401478875, 0.079806223085172601, 0.079900274302652119, 0.080022017711278828, 0.080176958506265522, 0.080371833339746027, 0.080615047245488416, 0.080917276212592454, 0.081292309792378559, 0.081758248729786293, 0.082339237878644639, 0.083068021626003866, 0.083989787733937574, 0.085168069345320327, 0.086693999280987366, 0.088701123625419598, 0.091389563447450209, 0.095065959966038324, 0.10020956969970873, 0.10757841509859828, 0.11836129720267087, 0.13431209128696273, 0.15750391401320388, 0.18849609286271451, 0.22104996477463706, 0.23714164241313729, 0.2199868303657132, 0.18095350745916808, 0.14580955680466584, 0.12318038369814466, 0.10973790109215571, 0.10151975036349188, 0.096213072806243638, 0.092617405222599383, 0.090100664162076835, 0.088315216497037496, 0.087063644941040158, 0.086235077442920527, 0.085774913183579271, 0.085671947606711679, 0.085956673208749043, 0.086709795205965209, 0.088084434974006712, 0.09035208632579779, 0.093996145766353553, 0.099910305786682127, 0.10984892052114732, 0.12753922250499194, 0.161683764808739, 0.23442028199361697, 0.39772011508758442, 0.64563105864832615, 0.59318340692421734, 0.3751682528618554, 0.25079769828702064, 0.18900177834676024, 0.15568149196135139, 0.13595086732710521, 0.12332933306299027, 0.11474853688043099, 0.10862679724121614, 0.1040869556442412, 0.10061200552057041, 0.097881362374079101, 0.095687598882800484, 0.093891579302265979, 0.092397054554602953, 0.091135647952854199, 0.090057646002777936, 0.089126163366442177, 0.088313338468459651, 0.087597789375360724, 0.08696287354731122, 0.086395473063714201, 0.085885130995600453, 0.08542342715395923, 0.085003519999224814, 0.084619805808046081, 0.084267661843962741, 0.083943250547220211, 0.083643368615154118, 0.083365329496744703, 0.083106871028988186, 0.082866082180220846, 0.082641344448312337, 0.082431284594912002, 0.082234736217583829, 0.082050708262384267, 0.081878359023649011, 0.081716974509479332, 0.081565950301493134, 0.081424776227682918, 0.081293023313284002, 0.081170332587714805, 0.081056405414054525, 0.080950995077176083, 0.080853899421969605, 0.080764954377335593, 0.080684028237210242, 0.080611016598655438, 0.080545837880289725, 0.080488429363157324, 0.080438743711238173, 0.08039674594083164, 0.08036241081747357, 0.080335720666234761, 0.080316663586589454, 0.080305232066781598, 0.080301421995078504, 0.080303961944497487, 0.080311581470597235, 0.080324279653458674, 0.080342055114859215, 0.080364906250092155, 0.080392831551239427, 0.080425830020695074, 0.080463901673465815, 0.080507048126580147, 0.080555273273805156, 0.080608584043806122, 0.080666991239905589, 0.080730510459689334, 0.080799163092866472, 0.080872977396017384, 0.080951989643118241, 0.081036245351037137, 0.081125800579460741, 0.081220723304965436, 0.081321094869093724, 0.081427011500293897, 0.081538585909366482, 0.081655948957503277, 0.081779251395036501, 0.08190866566742977, 0.0820443877826878, 0.082186639230996547, 0.08233566894270633, 0.082491755264385291, 0.082655207924119581, 0.082826369945929013, 0.083005619458386637, 0.083193371323376897, 0.083390078486301422, 0.08359623291766935, 0.083812365976292769, 0.084039047974477393, 0.084276886663636905, 0.084526524282453275, 0.084788632716906301, 0.085063906210243498, 0.085353050930044666, 0.08565677054913981, 0.085975746829946548, 0.086310614024545387, 0.086661925728519065, 0.087030112677375995, 0.087415429885354778, 0.087817891549607799, 0.088237192351760363, 0.08867261428162071, 0.08912291900672023, 0.089586227256340398, 0.090059888818852352, 0.090540349669646872, 0.091023026462529605, 0.091502202962889009, 0.091970967533479456, 0.0924212146925458, 0.09284373582858968, 0.093228422822715248, 0.093564601979382281, 0.093841503117696762, 0.094048849875107893, 0.094177533992711754, 0.094220312537237949, 0.094172448437238571, 0.094032207636863235, 0.093801135272475897, 0.093484059469862532, 0.093088810593556795, 0.092625687628682382, 0.092106741489196536, 0.091544968564662946, 0.090953512270689402, 0.090344956803918755, 0.089730771301370957, 0.089120931857503818, 0.088523720514215143, 0.087945679192812029, 0.087391684413320417, 0.086865104897729223, 0.086368006662096819, 0.085901376407342092, 0.085465341647127394, 0.08505937343427683, 0.08468246382955058, 0.084333275032041702, 0.084010260374332388, 0.083711759399467886, 0.083436070278100585, 0.083181503184888941, 0.082946418179889972, 0.082729250821061959, 0.082528528299879417, 0.082342878428916313, 0.082171033368602028, 0.082011829586371265, 0.081864205205455606, 0.0817271956232834, 0.081599928056382998, 0.081481615492886086, 0.081371550397608988, 0.081269098410943874, 0.081173692204892178, 0.081084825601947505, 0.081002048020586373, 0.080924959281134121, 0.08085320478481374, 0.080786471064548948, 0.080724481696820241, 0.08066699355821115, 0.080613793407203316, 0.080564694770533782, 0.080519535113421151, 0.080478173273803064, 0.080440487142077466, 0.080406371569493304, 0.080375736490130939, 0.080348505243231602, 0.080324613084407109, 0.080304005875943579, 0.080286638947950961, 0.080272476123531653, 0.080261488902393902, 0.080253655798463192, 0.080248961828047707, 0.080247398145990328], [0.082472342482375394, 0.082475888383910276, 0.082486532395112069, 0.082504293681615035, 0.082529205010566598, 0.082561314004883132, 0.082600684935556862, 0.082647401091063222, 0.082701567778086224, 0.082763316026364137, 0.082832807093656827, 0.082910237896179739, 0.082995847527457103, 0.083089925077156707, 0.083192819024853856, 0.083304948567051493, 0.083426817346451368, 0.083559030200693912, 0.083702313748312593, 0.083857541903846838, 0.084025767793209943, 0.084208264071191807, 0.084406574395700207, 0.084622579896050446, 0.084858586053657203, 0.085117437760589679, 0.08540267386864199, 0.085718738008099205, 0.086071271062314866, 0.086467524559629638, 0.086916957207031201, 0.087432115919792525, 0.08802997160737086, 0.088734005914309688, 0.089577585274964719, 0.090609639603684997, 0.091904682797815176, 0.093581526049131059, 0.095840729445059031, 0.09904632553603912, 0.10392513967819167, 0.11213093775904255, 0.12821375799496895, 0.16905029264124261, 0.33558669797312818, 0.55132409429660512, 0.14280886647211008, 0.091126497269312434, 0.080989563126200897, 0.078382639626189327, 0.077800788550064046, 0.077882360636839176, 0.07819914266464352, 0.07859590176689879, 0.079011712211130986, 0.079422025220787049, 0.079817345444638962, 0.080194626557597321, 0.080553557403536313, 0.080894878738399401, 0.081219594049876498, 0.081528592237395461, 0.081822467238590935, 0.082101435757247543, 0.08236530733844398, 0.082613486405282474, 0.082844998339788326, 0.083058537709488595, 0.083252539161589104, 0.083425271597130882, 0.083574954615496078, 0.083699893329632458, 0.083798624027252688, 0.083870059528066629, 0.083913620371376244, 0.083929337079254568, 0.083917910336324661, 0.083880720134054038, 0.083819781186047229, 0.08373764905237252, 0.083637287921035752, 0.083521915515228654, 0.083394842293082611, 0.083259320897650299, 0.083118418308283731, 0.08297491837535792, 0.082831257496177341, 0.082689491995776951, 0.08255129281870123, 0.082417961538125944, 0.082290461279467597, 0.082169456615032138, 0.082055357459184186, 0.08194836317257724, 0.081848504246922249, 0.081755679955526753, 0.081669691160204255, 0.081590268054537993, 0.081517093019639358, 0.081449819007905419, 0.081388083991909513, 0.081331522054913424, 0.081279771685555779, 0.081232481794121111, 0.081189315907122292, 0.081149954931234669, 0.081114098813486565, 0.081081467365699614, 0.081051800469284938, 0.081024857832129926, 0.081000418432241636, 0.080978279752394675, 0.080958256885457255, 0.080940181570465841, 0.080923901204064536, 0.080909277859877227, 0.080896187339087294, 0.080884518268405078, 0.080874171256266086, 0.080865058114130167, 0.080857101146857374, 0.080850232514068809, 0.080844393662978256, 0.0808395348322382, 0.080835614625783009, 0.080832599655365087, 0.080830464250402273, 0.080829190233835321, 0.080828766762880866, 0.080828833457682617, 0.080829033618406543, 0.080829367474112804, 0.080829835406913159, 0.080830437952490869, 0.080831175800828062, 0.080832049797145034, 0.080833060943051455, 0.080834210397912512, 0.080835499480433642, 0.080836929670465629, 0.080838502611035062, 0.080840220110604225, 0.080842084145562862, 0.080844096862961706, 0.080846260583487428, 0.080848577804689764, 0.080851051204463897, 0.080853683644797683, 0.080856478175788796, 0.080859438039939696, 0.080862566676741368, 0.080865867727550042, 0.080869345040769161, 0.080873002677344527, 0.080876844916582744, 0.08088087626230249, 0.08088510144932913, 0.080889525450344377, 0.080894153483099293, 0.080898991018004199, 0.080904043786104787, 0.0809093177874564, 0.080914819299906918, 0.080920554888299051, 0.080926531414103164, 0.080932756045490065, 0.080939236267853265, 0.080945979894788772, 0.080952995079541928, 0.080960290326925213, 0.080967874505713119, 0.080975756861517034, 0.080983947030140169, 0.080992455051410769, 0.081001291383488966, 0.081010466917637275, 0.081019992993443118, 0.081029881414473315, 0.081040144464338618, 0.081050794923137132, 0.08106184608423829, 0.08107331177136147, 0.081085206355891851, 0.081097544774367911, 0.08111034254605845, 0.081123615790536951, 0.08113738124514179, 0.081151656282195686, 0.081166458925836141, 0.0811818078682882, 0.081197722485386203, 0.0812142228511228, 0.081231329750977216, 0.081249064693742254, 0.08126744992153162, 0.081286508417620404, 0.081306263911722312, 0.08132674088227744, 0.081347964555272295, 0.081369960899079274, 0.081392756614756451, 0.081416379121209109, 0.081440856534584147, 0.081466217641231978, 0.081492491863562486, 0.081519709218113218, 0.081547900265171669, 0.081577096049341019, 0.081607328030530071, 0.081638628004984448, 0.081671028016189931, 0.081704560255771677, 0.081739256954924844, 0.081775150267465846, 0.081812272146335741, 0.081850654216360633, 0.08189032764735342, 0.081931323033293854, 0.081973670285461889, 0.082017398550155635, 0.082062536165145542, 0.082109110673549104, 0.082157148919594192, 0.082206677258171518, 0.082257721919600207, 0.082310309583305971, 0.082364468229946655, 0.082420228362078754, 0.082477624710247374, 0.082536698576529691, 0.082597501013921729, 0.082660097101542776, 0.082724571657953883, 0.08279103684554863, 0.082859642268551831, 0.082930588369899666, 0.083004144207322522, 0.083080671060741365, 0.083160653820537819, 0.08324474275788539, 0.083333809096957201, 0.083429018753100534, 0.083531929484262551, 0.083644616988689496, 0.083769833846589578, 0.083911198642801596, 0.084073394743243102, 0.084262316479399219, 0.084485012953706001, 0.084749116135316216, 0.085061185322214877, 0.08542314337172166, 0.085826122348917552, 0.086242505538766348, 0.086620664221931543, 0.086891093577517425, 0.086990021916505983, 0.086891093577517259, 0.086620664221931598, 0.086242505538766209, 0.085826122348917483, 0.085423143371721619, 0.085061185322214058, 0.084749116135316382, 0.084485012953706223, 0.084262316479399635, 0.084073394743243574, 0.083911198642801457, 0.083769833846589231, 0.083644616988689385, 0.083531929484262635, 0.083429018753100548, 0.083333809096957409, 0.083244742757885237, 0.083160653820537361, 0.083080671060741615, 0.083004144207322744, 0.082930588369899541, 0.082859642268551942, 0.08279103684554856, 0.082724571657953938, 0.082660097101542804, 0.082597501013921645, 0.082536698576529788, 0.082477624710247402, 0.082420228362078699, 0.082364468229946877, 0.08231030958330593, 0.082257721919600207, 0.082206677258171601, 0.082157148919594317, 0.082109110673549049, 0.08206253616514543, 0.082017398550155607, 0.081973670285461916, 0.08193132303329384, 0.081890327647353531, 0.081850654216360716, 0.081812272146335629, 0.081775150267465957, 0.081739256954924885, 0.08170456025577158, 0.081671028016189903, 0.081638628004984476, 0.081607328030530113, 0.081577096049341005, 0.081547900265171724, 0.081519709218113301, 0.081492491863562375, 0.081466217641231922, 0.081440856534584161, 0.081416379121209109, 0.081392756614756395, 0.081369960899079344, 0.081347964555272309, 0.081326740882277343, 0.081306263911722201, 0.081286508417620279, 0.081267449921531634, 0.081249064693742212, 0.081231329750977313, 0.081214222851122772, 0.081197722485386273, 0.081181807868288186, 0.081166458925836099, 0.081151656282195631, 0.081137381245141887, 0.081123615790536924, 0.081110342546058409, 0.081097544774367925, 0.08108520635589192, 0.081073311771361595, 0.081061846084238318, 0.081050794923137132, 0.081040144464338618, 0.081029881414473232, 0.081019992993443132, 0.081010466917637372, 0.081001291383488938, 0.0809924550514107, 0.080983947030140141, 0.080975756861517076, 0.080967874505713147, 0.080960290326925227, 0.080952995079541873, 0.080945979894788703, 0.080939236267853265, 0.080932756045490051, 0.080926531414103178, 0.080920554888298982, 0.080914819299906932, 0.08090931778745647, 0.080904043786104843, 0.080898991018004116, 0.080894153483099265, 0.08088952545034428, 0.080885101449329116, 0.080880876262302517, 0.080876844916582771, 0.080873002677344485, 0.080869345040769119, 0.080865867727549959, 0.080862566676741313, 0.080859438039939793, 0.08085647817578874, 0.080853683644797794, 0.080851051204463981, 0.080848577804689778, 0.080846260583487428, 0.080844096862961748, 0.080842084145563001, 0.080840220110604197, 0.080838502611035146, 0.080836929670465657, 0.080835499480433629, 0.080834210397912568, 0.080833060943051427, 0.080832049797145034, 0.080831175800828103, 0.0808304379524908, 0.080829835406913214, 0.080829367474112832, 0.080829033618406584, 0.080828833457682658, 0.080828766762880741, 0.080828800108339649, 0.080828900159564704, 0.080829066961104715, 0.080829300587216962, 0.08082960114188234, 0.080829968758826018, 0.080830403601542589, 0.080830905863327918, 0.080831475767316377, 0.080832113566521605, 0.080832819543883716, 0.080833594012319765, 0.080834437314779448, 0.080835349824302835, 0.080836331944083004, 0.080837384107530358, 0.080838506778340008, 0.080839700450559493, 0.08084096564865946, 0.080842302927601639, 0.080843712872909979, 0.080845196100737218, 0.080846753257930642, 0.080848385022094751, 0.08085009210164909, 0.080851875235880777, 0.080853735194989867, 0.080855672780128229, 0.080857688823426963, 0.080859784188013636, 0.08086195976801773, 0.080864216488560153, 0.080866555305727547, 0.080868977206527179, 0.080871483208822828, 0.080874074361245718, 0.080876751743082148, 0.080879516464130802, 0.080882369664531301, 0.080885312514557342, 0.080888346214372214, 0.080891471993745259, 0.080894691111721886, 0.080898004856246306, 0.080901414543730579, 0.08090492151856736, 0.080908527152580151, 0.080912232844406046, 0.080916040018806229, 0.080919950125897866, 0.080923964640301674, 0.080928085060198107, 0.080932312906285747, 0.080936649720633899, 0.080941097065422796, 0.080945656521561576, 0.080950329687177427, 0.08095511817596332, 0.08096002361537917, 0.080965047644692187, 0.080970191912847544, 0.080975458076158011, 0.080980847795799268, 0.080986362735100501, 0.080992004556614622, 0.08099777491895678, 0.081003675473394141, 0.081009707860175056, 0.081015873704578134, 0.081022174612668779, 0.081028612166743036, 0.081035187920443258, 0.081041903393526418, 0.0810487600662676, 0.081055759373477601, 0.081062902698116959, 0.081070191364485872, 0.081077626630969013, 0.08108520968231582, 0.081092941621435155, 0.081100823460684784, 0.081108856112634214, 0.081117040380281447, 0.081125376946706351, 0.081133866364138801, 0.08114250904242841, 0.081151305236896829, 0.08116025503556179, 0.081169358345717771, 0.081178614879868646, 0.081188024141002318, 0.081197585407207951, 0.081207297715637117, 0.081217159845815193, 0.081227170302318144, 0.081237327296829323, 0.081247628729608945, 0.081258072170405496, 0.081268654838854676, 0.081279373584421624, 0.081290224865947475, 0.081301204730882495, 0.081312308794292174, 0.081323532217746131, 0.081334869688208189, 0.081346315397068159, 0.081357863019474036, 0.081369505694138422, 0.08138123600381908, 0.081393045956693083, 0.081404926968867447, 0.081416869848289178, 0.081428864780349094, 0.081440901315488853, 0.081452968359154609, 0.08146505416445457, 0.081477146327910213, 0.081489231788705485, 0.081501296831862594, 0.081513327095788193, 0.081525307584647863, 0.081537222686039218, 0.081549056194435449, 0.081560791340875627, 0.081572410829366476, 0.081583896880452561, 0.081595231282381997, 0.081606395450271499, 0.081638676582741154, 0.08166873663577745, 0.08169606331110886, 0.081720179043065902, 0.081740676404985183, 0.081757258082394188, 0.081769779127951386, 0.081778288459799883, 0.081783066150364403, 0.08178465316747191, 0.08178387098608568, 0.081781829866288874, 0.081779926418309196, 0.081779833054313453, 0.081783483724442871, 0.081793061678056292, 0.081810995757617896, 0.081839971992069563, 0.081882967259009107, 0.081943311909550218, 0.082024788946706298, 0.08213177911038376, 0.082269464610369519, 0.082444109988696404, 0.082663447761539041, 0.082937210830858213, 0.083277876100596851, 0.083701719314770273, 0.084230338624578002, 0.084892899329156737, 0.085729512704342842, 0.086796439671829068, 0.088174302961057674, 0.089981386882872091, 0.0923957657767948, 0.095693133043236275, 0.10031309637765098, 0.10697735917709043, 0.11689954321865031, 0.13213514233135309, 0.15602728702726434, 0.1930900034974366, 0.24551464802413464, 0.30162579796306993, 0.32642894009190598, 0.29057817697564214, 0.22053598621500969, 0.16452078609146792, 0.13230238536490249, 0.11477008731532574, 0.10471120621704959, 0.098500870918287742, 0.094415738769755439, 0.091600744641241127, 0.089604575110245291, 0.088176377793575858, 0.087173461811886788, 0.086517738855045004, 0.086175383070854775, 0.08614926405684864, 0.086480527588555303, 0.087259794309167971, 0.088652685745544302, 0.090951695031312826, 0.094682688353435657, 0.10083538301822302, 0.11140111456728673, 0.13074714650898395, 0.16947404623916537, 0.25554576815305302, 0.4508336097616984, 0.67828157618107421, 0.53428514431958485, 0.33317307597125856, 0.23029725624497877, 0.17893679829495976, 0.15065119711272809, 0.13355610797490469, 0.12242959540470166, 0.1147555630573141, 0.10921439460565539, 0.10506292215669771, 0.10185722373432676, 0.099318828753076044, 0.097265734741269261, 0.095574777880392231, 0.094160091768645274, 0.092960252361717358, 0.091930324449622264, 0.091036782804593541, 0.090254177431094124, 0.089562889222576367, 0.088947585798298992, 0.088396137833133881, 0.087898844838152232, 0.087447872983299368, 0.087036840810180857, 0.08666050976984252, 0.086314550165835557, 0.085995362079147097, 0.085699936885389308, 0.085425749086064498, 0.085170671018645616, 0.084932905002953835, 0.08471092889602122, 0.084503452043987473, 0.084309379358038977, 0.084127781783662176, 0.083957871834754394, 0.083798983165493321, 0.08365055338077873, 0.083512109460010212, 0.08338325530296431, 0.083263661010660461, 0.083153053595709764, 0.083051208881123689, 0.082957944397885314, 0.082873113132681531, 0.082796598010282482, 0.082728307021701503, 0.082668168930781952, 0.082616129509099717, 0.082572148262796283, 0.082536195625732084, 0.082508250601601135, 0.082488298843830299, 0.082476331166483799, 0.082472342482375394, 0.082475001497145525, 0.08248297831699869, 0.082496272318610148, 0.08251488262973837, 0.082538808378563769, 0.082568049041558511, 0.082602604888762976, 0.082642477525103272, 0.082687670526231077, 0.082738190167282719, 0.082794046242947075, 0.082855252977327543, 0.082921830022253923, 0.082993803542960778, 0.083071207390386023, 0.083154084359729361, 0.083242487535363632, 0.083336481722618871, 0.083436144967398582, 0.083541570164934048, 0.083652866759198891, 0.083770162534523435, 0.083893605500637625, 0.084023365871654099, 0.084159638138166973, 0.084302643229523827, 0.084452630760163738, 0.084609881349359234, 0.084774708997356688, 0.084947463492254779, 0.08512853281031646, 0.085318345456973976, 0.085517372675505215, 0.085726130423959448, 0.08594518098686045, 0.086175134044592122, 0.08641664696797266, 0.086670424035778529, 0.086937214185967532, 0.087217806804051556, 0.087513024921466065, 0.087823715040427866, 0.088150732618513, 0.088494922037342147, 0.088857089650979243, 0.089237968273491355, 0.089638171244620007, 0.090058134046060598, 0.090498041387641601, 0.090957737829338123, 0.091436620470803379, 0.091933513179286039, 0.092446523423758545, 0.092972885233193789, 0.093508795266230862, 0.094049253533513039, 0.094587925811850909, 0.095117050747722462, 0.095627420102051594, 0.096108464007879965, 0.096548472461357587, 0.096934977317837775, 0.097255304048598251, 0.097497279059270262, 0.097650048508220982, 0.097704933316985848, 0.097656220071500849, 0.097501777282695198, 0.097243397504903253, 0.096886799525675832, 0.096441275850503827, 0.09591902760476971, 0.09533427779693826, 0.094702282892073816, 0.094038366287432687, 0.093357077586681256, 0.092671546527242382, 0.091993060482568084, 0.091330858931773284, 0.090692112967665869, 0.090082044576083514, 0.089504137669383158, 0.088960397596231533, 0.088451624648714436, 0.087977677082206426, 0.087537708427886454, 0.087130371408409332, 0.086753986265591998, 0.086406674916457052, 0.086086464424379686, 0.085791364214071131, 0.085519421646375979, 0.085268760301095384, 0.08503760481181491, 0.08482429550270669, 0.084627295483820086, 0.084445192318201301, 0.084276695903895582, 0.084120633822327276, 0.0839759450879312, 0.083841672983807652, 0.083716957474405065, 0.083601027538649092, 0.083493193656282133, 0.083392840598487714, 0.083299420614535172, 0.083212447063855555, 0.083131488513415522, 0.083056163300219255, 0.082986134545694992, 0.082921105600703995, 0.082860815895496889, 0.082805037167054216, 0.082753570036100094, 0.082706240907067144, 0.082662899166011883, 0.082623414653611657, 0.082587675392712931, 0.082555585552286107, 0.082527063631975636, 0.08250204085364593, 0.082480459748383306, 0.082462272929273966, 0.082447442041972963, 0.082435936886565461, 0.082427734705546554, 0.08242281963391887, 0.082421182308431359], [0.084504633194887574, 0.08450833363874688, 0.084519441785501484, 0.084537978343975362, 0.084563978711950122, 0.084597494320114736, 0.084638594553491958, 0.08468736929321681, 0.084743932138222539, 0.08480842438684838, 0.084881019883954328, 0.0849619308715234, 0.085051415022319332, 0.085149783890023256, 0.085257413079649444, 0.085374754534822225, 0.085502351461951703, 0.085640856577133911, 0.085791054586535881, 0.085953890119535956, 0.086130502761897959, 0.086322271437543174, 0.086530871243443053, 0.086758347078395845, 0.087007210219730638, 0.087280566706850887, 0.087582290499964355, 0.087917260751957813, 0.088291692624065277, 0.088713607461378186, 0.089193515474037852, 0.089745431051499541, 0.090388424392937067, 0.091149067580244297, 0.092065431573508133, 0.093193897158666383, 0.094621351962392186, 0.096488379015851708, 0.099036701982534656, 0.10271566323520381, 0.10845167509487519, 0.11845050624498528, 0.13921273907040282, 0.19771256262451295, 0.47037893370500983, 0.35848710167877501, 0.12032156329773623, 0.088697460247320101, 0.081743916748052384, 0.079942404738265888, 0.079627179232746717, 0.079814299112055856, 0.080179355263624894, 0.080601585832714581, 0.081033111883475603, 0.081454808247056254, 0.081859592018718744, 0.082245540424986219, 0.082612877252245226, 0.082962593618360544, 0.083295797418641251, 0.083613401339107218, 0.083915973762666102, 0.0842036714358739, 0.084476216605913201, 0.084732902559321172, 0.084972622035485001, 0.085193918069247296, 0.085395058727908355, 0.085574136943626589, 0.085729194682541199, 0.085858367421718554, 0.085960040856002173, 0.086033007713233009, 0.086076609514691996, 0.086090847095280199, 0.086076445430244702, 0.086034862945242402, 0.085968242389967572, 0.08587930821543846, 0.085771222544579626, 0.085647416747153829, 0.085511417412532445, 0.08536668408656857, 0.085216472202512536, 0.085063729353541159, 0.084911027654590965, 0.084760530390486519, 0.084613987984557437, 0.084472756658447584, 0.084337832786847602, 0.084209896515255955, 0.08408935931085286, 0.083976411421011782, 0.083871066482713377, 0.083773201619930709, 0.083682592226077684, 0.083598941251125283, 0.083521903225887165, 0.083451103500699939, 0.083386153295542012, 0.083326661192178228, 0.083272241677393666, 0.083222521293266682, 0.083177142882258831, 0.083135768342569583, 0.083098080239458472, 0.083063782554726545, 0.08303260080098622, 0.083004281680102085, 0.082978592425900166, 0.082955319939153047, 0.082934269797021426, 0.082915265198612934, 0.0828981458922015, 0.082882767117131648, 0.082868998583814871, 0.082856723507912011, 0.082845837709318138, 0.082836248782513874, 0.082827875341907928, 0.082820646343718246, 0.082814500484521492, 0.08280938567568058, 0.082805258592327929, 0.082802084295330258, 0.082799835924622783, 0.082798494462420977, 0.082798048565047133, 0.082798118949791, 0.082798330184724031, 0.082798682512061947, 0.08279917633586803, 0.082799812222610944, 0.082800590901945831, 0.082801513267722754, 0.082802580379222918, 0.082803793462625896, 0.082805153912711746, 0.082806663294800645, 0.082808323346934221, 0.082810135982305161, 0.082812103291935807, 0.082814227547618094, 0.082816511205113699, 0.082818956907627111, 0.082821567489554659, 0.0828243459805202, 0.082827295609703491, 0.082830419810470332, 0.082833722225316209, 0.082837206711128972, 0.082840877344784292, 0.082844738429082937, 0.08284879449904152, 0.082853050328548311, 0.082857510937395337, 0.082862181598701706, 0.082867067846737003, 0.082872175485161931, 0.082877510595696341, 0.082883079547230315, 0.082888889005390848, 0.082894945942577403, 0.082901257648481705, 0.082907831741103111, 0.082914676178273652, 0.082921799269704319, 0.082929209689565603, 0.082936916489612197, 0.082944929112860735, 0.082953257407830008, 0.082961911643349123, 0.082970902523937171, 0.082980241205756783, 0.082989939313138264, 0.083000008955670529, 0.083010462745846822, 0.08302131381725196, 0.083032575843270146, 0.083044263056284956, 0.083056390267337604, 0.083068972886197995, 0.083082026941797366, 0.083095569102954805, 0.083109616699322056, 0.083124187742454059, 0.083139300946897032, 0.083154975751170063, 0.0831712323384943, 0.083188091657105376, 0.08320557543995645, 0.083223706223599883, 0.083242507366003776, 0.083262003063029916, 0.08328221836327436, 0.083303179180930401, 0.08332491230631181, 0.083347445413630344, 0.083370807065599684, 0.083395026714402326, 0.083420134698533932, 0.08344616223502567, 0.083473141406531268, 0.083501105142782805, 0.083530087195942265, 0.083560122109434865, 0.083591245179944845, 0.08362349241239625, 0.083656900467943524, 0.083691506605287222, 0.083727348616015954, 0.083764464755200163, 0.083802893669152112, 0.083842674323172078, 0.083883845933270182, 0.083926447907369958, 0.083970519803436269, 0.084016101314447977, 0.084063232293299303, 0.084111952834716466, 0.084162303436379843, 0.084214325267893603, 0.08426806058444819, 0.084323553332425055, 0.084380850007438238, 0.084440000842180202, 0.084501061423024687, 0.084564094862018241, 0.084629174686551845, 0.084696388655092214, 0.084765843767183588, 0.084837672813865325, 0.084912042916368155, 0.084989166633889057, 0.085069316394486463, 0.085152843227463582, 0.085240201061872342, 0.085331978211118056, 0.085428938082082892, 0.085532071588030403, 0.085642664086595516, 0.085762379609555905, 0.085893364030642128, 0.086038365210361317, 0.086200859183923229, 0.086385151593069823, 0.086596383006496358, 0.086840290535415185, 0.087122450597044321, 0.08744655639627838, 0.08781117045357989, 0.088204669603344832, 0.08859940597624269, 0.088948855391948189, 0.089194059098670425, 0.089282854556904226, 0.08919405909867037, 0.088948855391948203, 0.08859940597624244, 0.088204669603344762, 0.08781117045357982, 0.087446556396277506, 0.087122450597044612, 0.086840290535415379, 0.086596383006496802, 0.08638515159307035, 0.08620085918392309, 0.08603836521036097, 0.08589336403064203, 0.085762379609556003, 0.085642664086595544, 0.085532071588030639, 0.085428938082082698, 0.085331978211117598, 0.085240201061872606, 0.085152843227463818, 0.085069316394486366, 0.084989166633889168, 0.0849120429163681, 0.084837672813865353, 0.08476584376718363, 0.084696388655092075, 0.084629174686551928, 0.084564094862018241, 0.084501061423024659, 0.084440000842180438, 0.084380850007438196, 0.084323553332425041, 0.084268060584448287, 0.084214325267893714, 0.084162303436379815, 0.084111952834716314, 0.084063232293299275, 0.084016101314448019, 0.083970519803436255, 0.083926447907370055, 0.083883845933270251, 0.083842674323172009, 0.083802893669152223, 0.083764464755200163, 0.083727348616015856, 0.083691506605287194, 0.083656900467943551, 0.083623492412396278, 0.083591245179944818, 0.083560122109434948, 0.083530087195942362, 0.083501105142782736, 0.083473141406531171, 0.083446162235025698, 0.083420134698533918, 0.083395026714402229, 0.083370807065599739, 0.083347445413630344, 0.083324912306311685, 0.08330317918093029, 0.083282218363274249, 0.083262003063029943, 0.083242507366003776, 0.083223706223600008, 0.083205575439956436, 0.083188091657105417, 0.083171232338494328, 0.083154975751170007, 0.083139300946896977, 0.083124187742454142, 0.08310961669932207, 0.083095569102954736, 0.083082026941797366, 0.083068972886198064, 0.083056390267337701, 0.08304426305628497, 0.083032575843270118, 0.083021313817251946, 0.083010462745846739, 0.083000008955670543, 0.082989939313138361, 0.082980241205756727, 0.082970902523937129, 0.082961911643349096, 0.08295325740783005, 0.082944929112860749, 0.082936916489612239, 0.082929209689565575, 0.082921799269704222, 0.08291467617827368, 0.082907831741103125, 0.082901257648481719, 0.082894945942577333, 0.08288888900539082, 0.082883079547230371, 0.082877510595696396, 0.082872175485161834, 0.082867067846736975, 0.082862181598701568, 0.082857510937395309, 0.082853050328548311, 0.082848794499041548, 0.08284473842908284, 0.082840877344784278, 0.082837206711128916, 0.082833722225316153, 0.082830419810470443, 0.08282729560970345, 0.082824345980520298, 0.08282156748955477, 0.082818956907627125, 0.082816511205113671, 0.082814227547618122, 0.08281210329193596, 0.082810135982305119, 0.082808323346934318, 0.082806663294800631, 0.082805153912711746, 0.082803793462625938, 0.08280258037922289, 0.08280151326772274, 0.082800590901945872, 0.082799812222610875, 0.082799176335868058, 0.082798682512061961, 0.082798330184724087, 0.082798118949791027, 0.082798048565047022, 0.08279808375534975, 0.082798189341770134, 0.082798365370848739, 0.082798611920162954, 0.082798929098342508, 0.082799317045091261, 0.082799775931213293, 0.082800305958646278, 0.082800907360499901, 0.082801580401098862, 0.082802325376031813, 0.082803142612203839, 0.082804032467894875, 0.082804995332819598, 0.082806031628192833, 0.082807141806796686, 0.08280832635305059, 0.082809585783082201, 0.082810920644800723, 0.08281233151796813, 0.082813819014273121, 0.082815383777400581, 0.082817026483100242, 0.08281874783925193, 0.082820548585925927, 0.082822429495437777, 0.082824391372395709, 0.082826435053741043, 0.082828561408776979, 0.082830771339186926, 0.082833065779039539, 0.08283544569477895, 0.082837912085197279, 0.082840465981388292, 0.082843108446680705, 0.082845840576545607, 0.082848663498479636, 0.082851578371856763, 0.082854586387749701, 0.082857688768715243, 0.082860886768539727, 0.082864181671944315, 0.082867574794241713, 0.082871067480944, 0.082874661107314451, 0.082878357077860898, 0.082882156825764011, 0.082886061812235692, 0.082890073525802119, 0.082894193481505035, 0.082898423220016129, 0.082902764306655399, 0.082907218330308799, 0.082911786902235718, 0.082916471654759905, 0.082921274239833073, 0.082926196327465354, 0.082931239604008722, 0.082936405770288213, 0.082941696539566595, 0.082947113635332873, 0.082952658788903039, 0.08295833373681949, 0.082964140218038135, 0.08297007997088722, 0.082976154729785853, 0.082982366221705309, 0.082988716162359977, 0.082995206252108614, 0.083001838171552891, 0.083008613576812162, 0.083015534094458651, 0.083022601316094222, 0.083029816792548908, 0.083037182027681511, 0.083044698471763045, 0.083052367514422104, 0.083060190477131007, 0.083068168605212725, 0.083076303059346587, 0.08308459490655376, 0.083093045110639946, 0.083101654522075602, 0.083110423867296793, 0.083119353737403867, 0.083128444576245214, 0.083137696667867203, 0.083147110123318962, 0.083156684866798197, 0.083166420621132844, 0.083176316892589863, 0.083186372955012175, 0.083196587833286692, 0.083206960286149823, 0.083217488788348587, 0.083228171512172683, 0.083239006308392788, 0.083249990686636646, 0.083261121795251608, 0.083272396400712143, 0.083283810866637539, 0.083295361132506199, 0.08330704269215683, 0.083318850572192696, 0.08333077931041187, 0.083342822934411143, 0.083354974940528556, 0.083367228273306601, 0.083379575305683226, 0.083392007820139405, 0.083404516991055833, 0.083417093368550618, 0.083429726864103992, 0.083442406738290384, 0.083455121590972292, 0.083467859354326351, 0.083480607289103032, 0.083493351984538167, 0.083506079362356905, 0.083518774685327757, 0.083531422570837677, 0.083544007009971097, 0.083556511392577887, 0.083568918538818079, 0.083581210737659298, 0.083593369792794581, 0.083605377076416562, 0.08361721359125944, 0.083651504555563458, 0.083683555851301175, 0.083712846822118311, 0.083738894539507253, 0.08376129054760606, 0.083779742309559979, 0.083794117019720685, 0.083804484688462688, 0.083811156999122269, 0.08381471857259512, 0.083816048067054227, 0.083816327966196869, 0.083817043794035304, 0.083819975541494937, 0.083827185964825024, 0.083841011848193578, 0.083864065198239524, 0.083899251741853406, 0.083949814304955198, 0.084019409077359122, 0.084112223927768265, 0.084233150411785279, 0.084388025629264465, 0.084583967615939115, 0.084829840008277951, 0.085136900797034676, 0.085519720364127097, 0.085997503178418533, 0.086596028912939937, 0.087350566843261576, 0.088310358148583415, 0.089545692796557164, 0.091159407137381646, 0.093306155628542456, 0.096225824086475703, 0.10030358402274693, 0.10618185498850842, 0.11497606381079685, 0.12869824659233983, 0.15106657549872726, 0.18878885581580318, 0.25192441447924702, 0.34540919096776945, 0.44179098689240665, 0.47791187686479053, 0.41050643902339617, 0.28359063301700915, 0.19114939613609927, 0.14422469197132395, 0.12106741104274257, 0.10864182052394664, 0.10131076468046439, 0.096631661801499194, 0.093464538153431989, 0.091232336879521009, 0.089622410201779218, 0.0884576661270665, 0.08763728761916588, 0.087108519917138, 0.086854001500189279, 0.086888483288246554, 0.087263355059826145, 0.088080744847105541, 0.089523334425354859, 0.09191459440295352, 0.095844268229874269, 0.10244661896750215, 0.11407061846989627, 0.13606027573153012, 0.18196179412112626, 0.28861181353446941, 0.52391441062117872, 0.67965579387904396, 0.46583147549119774, 0.29457895699403741, 0.21184706901193626, 0.16975791081553934, 0.14596728808455361, 0.13125863599774759, 0.12150542911197097, 0.11467521260713205, 0.1096805649904718, 0.10589846964681808, 0.10295127074284309, 0.10059906396885565, 0.09868333749752535, 0.097095802346615551, 0.095760331549730709, 0.094622066061703036, 0.093640610067026051, 0.092785648618562463, 0.09203404810725245, 0.091367891283326494, 0.090773116772358289, 0.090238558804329447, 0.089755257524448559, 0.089315955749185327, 0.088914726429328544, 0.088546693198952198, 0.088207818179540931, 0.087894739022881391, 0.087604642443180142, 0.087335165094242342, 0.087084315151307906, 0.086850409719336719, 0.086632024445393876, 0.086427952618414614, 0.086237171699964907, 0.086058815716219719, 0.085892152303615896, 0.08573656347294166, 0.085591529363252317, 0.085456614415288207, 0.085331455516403754, 0.085215751764388517, 0.085109255572546672, 0.085011764897797215, 0.084923116420903777, 0.084843179545908337, 0.084771851116311719, 0.08470905077007472, 0.084654716875140104, 0.084608803002790764, 0.084571274908433886, 0.084542107998834437, 0.084521285271941776, 0.084508795720585936, 0.084504633194887574, 0.084507408093991709, 0.084515732678114727, 0.084529606661358864, 0.08454902974595048, 0.084574001889758596, 0.084604523679710608, 0.084640596810082985, 0.084682224664443514, 0.084729412999917347, 0.08478217073242357, 0.084840510821591969, 0.084904451254248378, 0.084974016125629215, 0.085049236817857962, 0.085130153275693024, 0.085216815380091196, 0.085309284420764395, 0.085407634669529914, 0.085511955056917527, 0.085622350955093685, 0.08573894607064754, 0.085861884451106638, 0.085991332609055962, 0.086127481767362804, 0.086270550228028903, 0.086420785865431532, 0.08657846874189741, 0.086743913839303632, 0.08691747389428954, 0.08709954231611039, 0.087290556154419649, 0.087490999068418646, 0.087701404227663857, 0.087922357046888458, 0.088154497620680061, 0.088398522676451152, 0.088655186803155192, 0.088925302635405074, 0.089209739574282451, 0.089509420503077947, 0.08982531580412273, 0.090158433797692158, 0.090509806502668308, 0.090880469360556659, 0.091271433273300145, 0.091683646992320983, 0.092117947584334808, 0.092574996429635056, 0.093055198046873511, 0.093558599085428559, 0.094084765225827593, 0.094632634673100818, 0.09520034865750765, 0.095785062141238983, 0.096382742022417797, 0.096987965681812394, 0.097593739649294645, 0.098191365971160419, 0.098770391405741148, 0.099318679954515113, 0.099822649785299408, 0.10026770826262016, 0.10063890093907631, 0.10092176106959007, 0.10110330774305942, 0.1011730994723531, 0.10112421620969639, 0.10095402791233297, 0.10066462109571679, 0.10026279850292795, 0.099759633862673683, 0.099169638120681594, 0.098509656490512965, 0.097797651503541763, 0.097051529086827182, 0.096288136172293315, 0.09552251092995212, 0.094767414698211996, 0.094033130136493934, 0.093327480007560831, 0.092656006774386374, 0.092022252307000063, 0.091428084966870715, 0.090874033607370661, 0.090359601023281708, 0.089883540866367323, 0.089444090992655628, 0.0890391624562301, 0.088666487242795855, 0.088323729875800769, 0.088008568777486057, 0.087718753197674498, 0.08745214099356427, 0.08720672180430275, 0.086980629374268661, 0.0867721460310657, 0.08657970166415177, 0.08640186899429303, 0.086237356471946497, 0.086084999784497115, 0.085943752674594739, 0.08581267756050398, 0.085690936291229272, 0.085577781252718893, 0.085472546957108611, 0.085374642186989411, 0.085283542724949271, 0.085198784670386635, 0.085119958327194767, 0.085046702634609048, 0.084978700107242122, 0.084915672247578428, 0.084857375393836476, 0.084803596967330114, 0.084754152085664627, 0.084708880510890872, 0.084667643904797904, 0.084630323366665205, 0.08459681723186703, 0.08456703911264557, 0.084540916165082053, 0.084518387568782341, 0.084499403208013885, 0.084483922545034354, 0.084471913678095825, 0.084463352578154086, 0.084458222499673524, 0.0844565135621025], [0.086296188874717294, 0.086300034356937935, 0.086311578139594419, 0.086330842511665604, 0.086357865564036768, 0.086392702624528764, 0.086435428310581028, 0.08648613924650396, 0.086544957510500994, 0.086612034899108986, 0.086687558124802944, 0.086771755098164968, 0.086864902491865709, 0.086967334843201571, 0.087079455529837729, 0.087201750056365851, 0.087334802226621391, 0.087479313961642158, 0.087636129774799398, 0.087806267261868853, 0.087990955445777716, 0.088191683495313603, 0.088410263308233761, 0.088648910857744331, 0.088910353276762125, 0.089197971765720488, 0.089515995162367662, 0.089869766422629366, 0.090266116081072392, 0.09071389608839614, 0.091224759925288237, 0.091814331275762537, 0.092504004858377342, 0.093323812496035136, 0.094317158531007916, 0.095548994961997688, 0.097120691531793479, 0.099198848201636103, 0.102075657601592, 0.1063085361707886, 0.11308796834220831, 0.12539590699400263, 0.15273736279275121, 0.23991702682726015, 0.63310572551906241, 0.23706647248650348, 0.10770078419785239, 0.087452869415779039, 0.08261898589961747, 0.081399442122736629, 0.081284478526876397, 0.081551727441630889, 0.081953053393077749, 0.082393985266189351, 0.082836819553558927, 0.08326670467508053, 0.083678455704103274, 0.084071019959539126, 0.084445020141602725, 0.084801618987573033, 0.085141980116808735, 0.0854670081442193, 0.085777223979668152, 0.086072708594733399, 0.086353084926381107, 0.086617525450433053, 0.08686478193971435, 0.087093238246497312, 0.087300988443135094, 0.087485942082094273, 0.087645956056956562, 0.087778988892699458, 0.087883268802908601, 0.087957462363714184, 0.088000827262052245, 0.088013331407273437, 0.087995722571157092, 0.087949537804754577, 0.087877049476714097, 0.087781153418756516, 0.087665212495149192, 0.087532874254601767, 0.087387883181959128, 0.087233906391757793, 0.087074387198965236, 0.08691243516778778, 0.086750755335860213, 0.086591614390765181, 0.086436838208372557, 0.086287833445054973, 0.086145625565178491, 0.08601090636870741, 0.085884085326318457, 0.085765340467157128, 0.085654665943313002, 0.085551914570546922, 0.085456834559178754, 0.085369100303309381, 0.085288337524361504, 0.085214143313153551, 0.085146101731073884, 0.085083795657310987, 0.085026815538948544, 0.084974765638928099, 0.084927268300708098, 0.084883966669176469, 0.08484452623184334, 0.084808635476152236, 0.084776005899496909, 0.084746371558429498, 0.084719488302095719, 0.084695132801221137, 0.084673101456956001, 0.08465320925250458, 0.08463528859373709, 0.084619188172039644, 0.084604771872755793, 0.084591917745075768, 0.084580517043644388, 0.08457047334804349, 0.084561701763348762, 0.084554128202883175, 0.084547688752893396, 0.084542329117986745, 0.084538004145672155, 0.084534677428138139, 0.084532320979408423, 0.084530914986179817, 0.084530447630922503, 0.084530521578074919, 0.084530743504497616, 0.084531113665206284, 0.084531632485622565, 0.084532300562170162, 0.084533118663109655, 0.084534087729615709, 0.084535208877098339, 0.084536483396771431, 0.0845379127574718, 0.084539498607733327, 0.084541242778119655, 0.084543147283823047, 0.084545214327530205, 0.084547446302568649, 0.084549845796332887, 0.084552415594003449, 0.084555158682563469, 0.084558078255123584, 0.084561177715563166, 0.084564460683496295, 0.08456793099957774, 0.084571592731153541, 0.084575450178272643, 0.084579507880069363, 0.084583770621530469, 0.084588243440659516, 0.08459293163605229, 0.084597840774899208, 0.084602976701426941, 0.084608345545797173, 0.084613953733476979, 0.084619807995096982, 0.084625915376814437, 0.084632283251196885, 0.084638919328644646, 0.08464583166936783, 0.08465302869593555, 0.08466051920641221, 0.084668312388099951, 0.08467641783190033, 0.084684845547310247, 0.084693605978067368, 0.084702710018455293, 0.084712169030280352, 0.08472199486052838, 0.084732199859705912, 0.084742796900871192, 0.08475379939935139, 0.084765221333142862, 0.084777077263984715, 0.084789382359088769, 0.084802152413504722, 0.084815403873090098, 0.084829153858048303, 0.084843420186984875, 0.084858221401424988, 0.084873576790720107, 0.084889506417259786, 0.084906031141887828, 0.084923172649408657, 0.084940953474047523, 0.084959397024710295, 0.084978527609868959, 0.084998370461874279, 0.085018951760472541, 0.08504029865528473, 0.085062439286972907, 0.085085402806805058, 0.085109219394297969, 0.085133920272606661, 0.085159537721308964, 0.085186105086229008, 0.085213656785950359, 0.085242228314679633, 0.085271856241168675, 0.085302578203460544, 0.085334432899326504, 0.085367460072403895, 0.085401700494249139, 0.085437195942792227, 0.085473989178058346, 0.085512123916511626, 0.085551644806027241, 0.085592597404339457, 0.085635028164902594, 0.085678984435494279, 0.08572451447667527, 0.085771667509479871, 0.085820493804580303, 0.085871044828800702, 0.08592337346942179, 0.08597753436249414, 0.086033584358629303, 0.086091583168883781, 0.086151594244855925, 0.086213685961628525, 0.086277933190485545, 0.086344419371469416, 0.086413239225118801, 0.08648450227986694, 0.086558337438730912, 0.086634898868867272, 0.086714373573756234, 0.086796991104335572, 0.086883035987192395, 0.086972863599757019, 0.087066920408103016, 0.087165769701917778, 0.087270124202300736, 0.087380887146255387, 0.087499203581469107, 0.087626523448156801, 0.087764677190881962, 0.087915962352572777, 0.088083234351466949, 0.088269983641341823, 0.088480359824720925, 0.088719063288951891, 0.088990956667217916, 0.089300146490677454, 0.089648172362836981, 0.090030924769700801, 0.09043427492444428, 0.090829589802354407, 0.091172437376110263, 0.091409315665611487, 0.091494383354293454, 0.091409315665611474, 0.091172437376110305, 0.090829589802354144, 0.090434274924444238, 0.09003092476970076, 0.089648172362836037, 0.089300146490677787, 0.088990956667218152, 0.088719063288952363, 0.088480359824721425, 0.088269983641341629, 0.088083234351466574, 0.08791596235257268, 0.087764677190882059, 0.087626523448156801, 0.087499203581469329, 0.087380887146255207, 0.087270124202300237, 0.087165769701918056, 0.087066920408103293, 0.086972863599756908, 0.086883035987192464, 0.086796991104335489, 0.086714373573756276, 0.086634898868867327, 0.086558337438730842, 0.086484502279867037, 0.086413239225118801, 0.086344419371469375, 0.086277933190485795, 0.08621368596162847, 0.086151594244855911, 0.086091583168883878, 0.086033584358629456, 0.085977534362494112, 0.085923373469421652, 0.085871044828800674, 0.085820493804580344, 0.085771667509479857, 0.085724514476675395, 0.085678984435494349, 0.085635028164902496, 0.085592597404339568, 0.085551644806027269, 0.085512123916511529, 0.085473989178058318, 0.085437195942792282, 0.085401700494249194, 0.085367460072403936, 0.085334432899326559, 0.085302578203460627, 0.08527185624116855, 0.08524222831467955, 0.085213656785950359, 0.085186105086229022, 0.085159537721308881, 0.085133920272606731, 0.085109219394297955, 0.085085402806804919, 0.08506243928697281, 0.085040298655284619, 0.085018951760472555, 0.084998370461874237, 0.08497852760986907, 0.084959397024710281, 0.084940953474047565, 0.084923172649408685, 0.084906031141887786, 0.084889506417259675, 0.084873576790720204, 0.084858221401425002, 0.084843420186984819, 0.084829153858048303, 0.084815403873090167, 0.084802152413504833, 0.084789382359088769, 0.084777077263984715, 0.084765221333142848, 0.084753799399351293, 0.084742796900871234, 0.084732199859705995, 0.08472199486052831, 0.084712169030280324, 0.084702710018455252, 0.084693605978067368, 0.084684845547310289, 0.08467641783190033, 0.084668312388099923, 0.084660519206412113, 0.084653028695935564, 0.084645831669367858, 0.084638919328644646, 0.084632283251196816, 0.084625915376814465, 0.084619807995097024, 0.084613953733477035, 0.08460834554579709, 0.084602976701426899, 0.084597840774899097, 0.084592931636052277, 0.084588243440659558, 0.084583770621530496, 0.084579507880069293, 0.084575450178272615, 0.0845715927311535, 0.08456793099957767, 0.084564460683496392, 0.084561177715563096, 0.084558078255123695, 0.084555158682563539, 0.084552415594003463, 0.084549845796332859, 0.084547446302568705, 0.084545214327530316, 0.084543147283822964, 0.084541242778119738, 0.084539498607733299, 0.0845379127574718, 0.084536483396771472, 0.084535208877098325, 0.084534087729615681, 0.084533118663109669, 0.084532300562170135, 0.084531632485622579, 0.084531113665206326, 0.084530743504497699, 0.084530521578074946, 0.084530447630922351, 0.084530484602304182, 0.084530595532591526, 0.084530780470213923, 0.084531039495897325, 0.084531372722680576, 0.084531780295937872, 0.084532262393405902, 0.0845328192252187, 0.08453345103394766, 0.084534158094646344, 0.084534940714901308, 0.084535799234887035, 0.084536734027426591, 0.08453774549805404, 0.084538834085082906, 0.084540000259675702, 0.084541244525917297, 0.084542567420888823, 0.084543969514743994, 0.084545451410783568, 0.084547013745532529, 0.084548657188812645, 0.084550382443814354, 0.084552190247164732, 0.084554081368991021, 0.084556056612978103, 0.084558116816418172, 0.084560262850253587, 0.084562495619107447, 0.084564816061303172, 0.084567225148871217, 0.084569723887539167, 0.08457231331670452, 0.08457499450938781, 0.084577768572164022, 0.084580636645068374, 0.084583599901475764, 0.084586659547948737, 0.084589816824053685, 0.084593073002139418, 0.084596429387074901, 0.084599887315945588, 0.084603448157698782, 0.084607113312739179, 0.084610884212466181, 0.084614762318750703, 0.084618749123344814, 0.084622846147218961, 0.084627054939821575, 0.0846313770782538, 0.084635814166354587, 0.084640367833686544, 0.084645039734417629, 0.084649831546089155, 0.084654744968263057, 0.084659781721037969, 0.084664943543427587, 0.084670232191587189, 0.084675649436883049, 0.084681197063789765, 0.084686876867605954, 0.084692690651975946, 0.084698640226203839, 0.084704727402348426, 0.084710953992082852, 0.084717321803306142, 0.084723832636489763, 0.084730488280745461, 0.084737290509594512, 0.084744241076424948, 0.084751341709615693, 0.084758594107310639, 0.084765999931823766, 0.084773560803655279, 0.08478127829509842, 0.084789153923416571, 0.084797189143571039, 0.084805385340476061, 0.084813743820762011, 0.084822265804023869, 0.084830952413535665, 0.084839804666408392, 0.084848823463170853, 0.084858009576757348, 0.084867363640878352, 0.084876886137762078, 0.0848865773852477, 0.084896437523219848, 0.084906466499369629, 0.08491666405427914, 0.084927029705819931, 0.08493756273286783, 0.084948262158338603, 0.084959126731551135, 0.084970154909938561, 0.084981344840123929, 0.084992694338397956, 0.08500420087063304, 0.085015861531684139, 0.085027673024339126, 0.085039631637886651, 0.085051733226391729, 0.085063973186774472, 0.085076346436811889, 0.085088847393192196, 0.085101469949773759, 0.085114207456221461, 0.085127052697208175, 0.085139997872396678, 0.085153034577438738, 0.085166153786251739, 0.085179345834855327, 0.085192600407081834, 0.085205906522492103, 0.085219252526861869, 0.085232626085618893, 0.085246014180644633, 0.085259403110869394, 0.085272778497113663, 0.085286125291644463, 0.085299427792929899, 0.085312669666085653, 0.08532583396950924, 0.085338903188201296, 0.085351859274258396, 0.085364683695014917, 0.085377357489277189, 0.085389861332068329, 0.085426156055811137, 0.085460207883076192, 0.085491490260182532, 0.08551951732472006, 0.085543881886989664, 0.085564298241738335, 0.085580647436214893, 0.085593021862628058, 0.085601765645649114, 0.08560750745339625, 0.08561118318626125, 0.085614047469379451, 0.085617674815208697, 0.085623953436597428, 0.085635076645007815, 0.085653538299175269, 0.085682139772802673, 0.08572401648940986, 0.085782692532797647, 0.085862172647907839, 0.085967082685655061, 0.086102872927520738, 0.086276104668842182, 0.086494850267433074, 0.086769252681470968, 0.087112315882293095, 0.087541038645090788, 0.088078072217195158, 0.088754197652813796, 0.089612119685368405, 0.090712435784383885, 0.09214331232480924, 0.0940366998265042, 0.09659653183944078, 0.10014983240776019, 0.10524367535165896, 0.11283843301173876, 0.12471254667904438, 0.14434445530986817, 0.17882433469290593, 0.242277390719257, 0.35570162310899683, 0.51244375514177531, 0.62596246180410886, 0.65633102554533107, 0.59065856210612844, 0.38795185225506762, 0.23046389643430584, 0.15982383288965116, 0.12866987158871224, 0.11315469468921066, 0.10443527190716966, 0.099045467243037089, 0.095470231902433575, 0.092975927945095779, 0.091176457484376819, 0.08985601290889414, 0.088890261956022287, 0.088209132902017762, 0.087779101502366438, 0.087596012382695737, 0.087685144969409587, 0.088108448419019714, 0.088981916476827863, 0.090510986357219159, 0.093062393286799397, 0.097316873297290385, 0.1046176560444729, 0.11784107211714955, 0.1438123364348555, 0.20067334316521071, 0.33839402429711724, 0.61020136828793559, 0.63556955847597718, 0.39840117077616294, 0.26107905541834936, 0.19570158048236666, 0.16148602297794687, 0.14158325334703795, 0.12898308421097446, 0.12046681201384513, 0.1144094601080161, 0.10992276829949529, 0.10648848988874139, 0.10378760127683365, 0.10161476245496134, 0.099832754941316881, 0.098346910393816919, 0.097090101817189953, 0.096013587335224554, 0.095081233334375431, 0.094265760602015636, 0.093546240602370156, 0.092906386380996187, 0.092333361429443594, 0.091816933879434473, 0.091348865668419071, 0.090922464563217675, 0.090532250970708508, 0.090173706902735073, 0.089843084570032594, 0.089537258816485166, 0.089253612169093804, 0.088989944418505038, 0.088744400835152712, 0.088515414674197296, 0.088301660730321502, 0.088102017505468033, 0.087915536139643938, 0.087741414689126662, 0.087578976660831448, 0.087427652956353533, 0.087286966565631161, 0.087156519493489307, 0.087035981513467059, 0.086925080430276164, 0.086823593600779028, 0.086731340517764266, 0.086648176304231397, 0.086573986000632361, 0.086508679555401757, 0.086452187451375354, 0.086404456918401179, 0.086365448696373276, 0.08633513432366112, 0.086313493934060292, 0.086300514551344826, 0.086296188874717294, 0.086299072530676535, 0.086307723511717227, 0.086322141914688483, 0.086342328092044299, 0.086368282937896099, 0.08640000828749872, 0.086437507429279095, 0.086480785728365345, 0.086529851360529583, 0.086584716155500285, 0.08664539654874949, 0.086711914641135715, 0.08678429936617206, 0.086862587765198243, 0.08694682637136826, 0.087037072704083326, 0.087133396876339572, 0.087235883318321994, 0.087344632621507379, 0.0874597635084359, 0.087581414934139901, 0.087709748325911788, 0.087844949968517078, 0.087987233542039245, 0.08813684281904724, 0.08829405452652947, 0.088459181375748652, 0.088632575259439905, 0.08881463061014376, 0.089005787905299449, 0.08920653729320431, 0.089417422298044127, 0.089639043540576308, 0.089872062381994425, 0.090117204359924347, 0.090375262234675804, 0.090647098397543535, 0.09093364630713191, 0.091235910509589527, 0.091554964658883201, 0.091891946777766631, 0.092248050782772206, 0.092624513031839648, 0.093022592337563756, 0.093443541523226231, 0.093888568191298399, 0.094358781946430409, 0.094855124909093105, 0.095378282044117468, 0.095928567725173608, 0.096505785232300675, 0.0971090567729435, 0.097736623436854242, 0.098385617607618922, 0.099051815133626986, 0.099729381292599673, 0.10041063328717573, 0.10108585219466716, 0.10174318766556571, 0.10236870686175638, 0.1029466416698256, 0.10345988091217452, 0.1038907332253608, 0.1042219496746082, 0.10443794539757879, 0.10452610473014777, 0.10447800797706645, 0.10429039635057064, 0.10396570756132135, 0.10351207159568057, 0.10294274458365162, 0.10227505683605309, 0.10152903293185374, 0.10072588605278679, 0.099886587168807578, 0.099030668352247553, 0.098175355050276011, 0.097335054161766535, 0.096521168945663954, 0.095742176319297517, 0.095003887693066724, 0.094309816775433902, 0.093661590384821497, 0.093059355196905336, 0.092502150126151331, 0.091988228165050548, 0.091515322022831552, 0.09108085488711809, 0.090682101676490462, 0.090316308026498537, 0.089980774679467815, 0.089672914513099056, 0.089390288567600423, 0.08913062639587449, 0.088891835034563757, 0.08867199996507015, 0.088469380640962603, 0.088282402508446906, 0.088109646930044236, 0.08794984002080794, 0.087801841101688968, 0.087664631247138969, 0.087537302237035, 0.087419046102522421, 0.087309145370042571, 0.087206964048693131, 0.087111939366215849, 0.087023574233035361, 0.086941430397922279, 0.086865122250054105, 0.086794311218341094, 0.086728700718279511, 0.08666803159815023, 0.086612078039292356, 0.086560643868854772, 0.086513559247483163, 0.086470677698547091, 0.086431873449580629, 0.086397039060472691, 0.086366083316539125, 0.086338929367887854, 0.086315513099455315, 0.086295781718717379, 0.086279692550420728, 0.0862672120297098, 0.086258314886813417, 0.086252983518020312, 0.086251207539032398], [0.087994013074850219, 0.087998003001777778, 0.088009980668778881, 0.088029970034099805, 0.088058012033274485, 0.088094166109919339, 0.088138512406544245, 0.088191154666675306, 0.088252223919612474, 0.088321883043761026, 0.088400332335329956, 0.088487816248409207, 0.088584631522960769, 0.088691136982951113, 0.088807765373068906, 0.088935037716685456, 0.089073580830458965, 0.089224148837247733, 0.089387649800510574, 0.089565178991947214, 0.089758060846914831, 0.089967902430300659, 0.090196662337709357, 0.090446740562331165, 0.09072109723468913, 0.091023411723914788, 0.091358299090687684, 0.091731609513060114, 0.092150850166172055, 0.092625791873813854, 0.093169361575186779, 0.09379898946934348, 0.094538702877524361, 0.095422492076564114, 0.09649993652663473, 0.097846052459546709, 0.099579503579859965, 0.1018986077284695, 0.10515870966004352, 0.11005712488957714, 0.11814229765024092, 0.13352041724660588, 0.17051299933770342, 0.30657615936237442, 0.65151830313956771, 0.17346234189877385, 0.10044197817538669, 0.087026255978489384, 0.083646029744629091, 0.082854371776766703, 0.082892104065153321, 0.083221456775347785, 0.083651012854752432, 0.084106524767106144, 0.084558283991393396, 0.084994833908480227, 0.085412498767363371, 0.085810909578829933, 0.086190991959970126, 0.086554027389632443, 0.086901204044875266, 0.087233398677047075, 0.087551070983764467, 0.087854215548910986, 0.08814234679015924, 0.088414507493697295, 0.088669299236793939, 0.088904936714483532, 0.089119329138333273, 0.089310191027033192, 0.08947518211366548, 0.08961207204085643, 0.08971892054881947, 0.089794258887310727, 0.089837254402371544, 0.089847838915360356, 0.089826783543429642, 0.089775708193118101, 0.089697022319505895, 0.089593803045223894, 0.089469625311870096, 0.089328364531556556, 0.089173994136389351, 0.089010398461982054, 0.08884121646760551, 0.08866972535197723, 0.088498766672023291, 0.088330712256652025, 0.088167463628993373, 0.088010476886690905, 0.087860804750666682, 0.087719148312494499, 0.087585912409089098, 0.087461260136240573, 0.087345163509426588, 0.087237448541679002, 0.087137833978623305, 0.087045963616719707, 0.086961432572405892, 0.086883808120118658, 0.086812645828545115, 0.086747501742312674, 0.086687941316411735, 0.086633545739235041, 0.08658391619526358, 0.086538676531720413, 0.086497474711856023, 0.086459983364436735, 0.086425899675923179, 0.08639494481878883, 0.086366863065767005, 0.086341420704469193, 0.086318404838610197, 0.086297622139844446, 0.086278897596895568, 0.086262073295314032, 0.086247007251029448, 0.086233572313203166, 0.086221655146205639, 0.086211155296387398, 0.086201984346346142, 0.086194065157330427, 0.086187331199055181, 0.086181725965354575, 0.086177202473648837, 0.086173722846040732, 0.086171257969912846, 0.086169787236112197, 0.086169298353132723, 0.086169375895015624, 0.086169608609959036, 0.086169996765974338, 0.0861705408101687, 0.086171241369380785, 0.086172099251070097, 0.08617311544446607, 0.086174291121976693, 0.086175627640860689, 0.086177126545168362, 0.086178789567953551, 0.086180618633762918, 0.086182615861408879, 0.086184783567029188, 0.086187124267446055, 0.086189640683825453, 0.086192335745650578, 0.08619521259501442, 0.086198274591243684, 0.086201525315862906, 0.086204968577908506, 0.086208608419608701, 0.086212449122435905, 0.086216495213548808, 0.086220751472636303, 0.086225222939177865, 0.08622991492013482, 0.086234832998089483, 0.086239983039848547, 0.086245371205526153, 0.086251003958126932, 0.086256888073645593, 0.086263030651702696, 0.086269439126736541, 0.086276121279769691, 0.086283085250772745, 0.086290339551644002, 0.086297893079827409, 0.086305755132587883, 0.08631393542196801, 0.086322444090443859, 0.086331291727301876, 0.086340489385756072, 0.08635004860082468, 0.08635998140798358, 0.08637030036261302, 0.086381018560251488, 0.086392149657669601, 0.086403707894771781, 0.086415708117332735, 0.086428165800571249, 0.086441097073556905, 0.086454518744443529, 0.086468448326513597, 0.086482904065014965, 0.086497904964758274, 0.086513470818439422, 0.086529622235637635, 0.086546380672430645, 0.086563768461555279, 0.086581808843029406, 0.08660052599513593, 0.086619945065652321, 0.086640092203197086, 0.086660994588544163, 0.086682680465738238, 0.086705179172833158, 0.08672852117205071, 0.086752738079153402, 0.086777862691805097, 0.086803929016696493, 0.086830972295208919, 0.086859029027404028, 0.086888136994157206, 0.086918335277290426, 0.086949664277638825, 0.086982165731082209, 0.08701588272272065, 0.087050859699571298, 0.087087142482435403, 0.087124778277935161, 0.087163815692198721, 0.087204304748274314, 0.087246296910149762, 0.087289845117262899, 0.087335003834685412, 0.087381829125805388, 0.087430378756418681, 0.087480712341769462, 0.087532891551391476, 0.08758698039077141, 0.087643045584072973, 0.087701157088718604, 0.087761388780820099, 0.087823819360724267, 0.087888533540783478, 0.087955623593558144, 0.088025191358792179, 0.088097350832747931, 0.088172231495095982, 0.088249982568180216, 0.08833077845306081, 0.088414825648681014, 0.088502371537566474, 0.088593715516545199, 0.088689223066843195, 0.088789343495825096, 0.088894632240483246, 0.089005778790253093, 0.089123641436816503, 0.089249290130822764, 0.089384058594537685, 0.089529606257228583, 0.089687989070956903, 0.089861734941704241, 0.090053912773134556, 0.090268171198476049, 0.090508699506001711, 0.090780022758414097, 0.091086479437712489, 0.09143114511734296, 0.091813893086792872, 0.092228335432360337, 0.092657815040834465, 0.093071748144907401, 0.093425377549658808, 0.093666911711237352, 0.093753110455206956, 0.093666911711237366, 0.093425377549658864, 0.093071748144907082, 0.09265781504083441, 0.092228335432360337, 0.091813893086791873, 0.091431145117343293, 0.09108647943771267, 0.090780022758414555, 0.090508699506002266, 0.090268171198475827, 0.090053912773134126, 0.089861734941704116, 0.089687989070957, 0.089529606257228639, 0.089384058594537907, 0.08924929013082257, 0.08912364143681599, 0.089005778790253356, 0.088894632240483509, 0.088789343495824971, 0.088689223066843306, 0.088593715516545143, 0.088502371537566515, 0.088414825648681056, 0.088330778453060671, 0.088249982568180355, 0.08817223149509594, 0.088097350832747903, 0.088025191358792415, 0.087955623593558074, 0.087888533540783464, 0.087823819360724309, 0.087761388780820238, 0.087701157088718576, 0.087643045584072848, 0.087586980390771327, 0.087532891551391503, 0.087480712341769448, 0.087430378756418792, 0.087381829125805471, 0.087335003834685315, 0.087289845117262968, 0.087246296910149804, 0.087204304748274217, 0.087163815692198679, 0.087124778277935203, 0.087087142482435431, 0.087050859699571298, 0.087015882722720678, 0.086982165731082292, 0.086949664277638727, 0.086918335277290357, 0.08688813699415722, 0.086859029027404, 0.086830972295208836, 0.086803929016696535, 0.086777862691805055, 0.086752738079153277, 0.086728521172050613, 0.086705179172833061, 0.086682680465738265, 0.086660994588544149, 0.086640092203197225, 0.086619945065652321, 0.086600525995135985, 0.086581808843029406, 0.08656376846155521, 0.086546380672430562, 0.086529622235637746, 0.086513470818439409, 0.08649790496475819, 0.086482904065014979, 0.086468448326513681, 0.08645451874444364, 0.086441097073556919, 0.086428165800571236, 0.086415708117332735, 0.086403707894771684, 0.086392149657669642, 0.086381018560251613, 0.086370300362613006, 0.086359981407983524, 0.086350048600824666, 0.086340489385756086, 0.086331291727301904, 0.086322444090443901, 0.086313935421967927, 0.0863057551325878, 0.086297893079827409, 0.086290339551644016, 0.086283085250772745, 0.086276121279769608, 0.086269439126736513, 0.086263030651702752, 0.086256888073645607, 0.086251003958126862, 0.086245371205526139, 0.086239983039848422, 0.086234832998089511, 0.086229914920134848, 0.086225222939177865, 0.086220751472636276, 0.08621649521354878, 0.086212449122435822, 0.086208608419608646, 0.086204968577908603, 0.086201525315862837, 0.086198274591243768, 0.086195212595014475, 0.086192335745650606, 0.086189640683825439, 0.086187124267446083, 0.086184783567029313, 0.086182615861408851, 0.086180618633763015, 0.086178789567953579, 0.086177126545168348, 0.08617562764086073, 0.086174291121976665, 0.086173115444466084, 0.086172099251070125, 0.086171241369380702, 0.086170540810168741, 0.08616999676597438, 0.086169608609959106, 0.086169375895015637, 0.086169298353132598, 0.086169337121751871, 0.086169453444382288, 0.086169647371345623, 0.086169918986522029, 0.086170268407367245, 0.086170695784935775, 0.086171201303909456, 0.086171785182633617, 0.086172447673158736, 0.08617318906128725, 0.0861740096666265, 0.086174909842645961, 0.0861758899767405, 0.08617695049029564, 0.086178091838758589, 0.086179314511711222, 0.086180619032946368, 0.086182005960545177, 0.086183475886956587, 0.086185029439075564, 0.086186667278323442, 0.086188390100724224, 0.08619019863697952, 0.086192093652540339, 0.086194075947673476, 0.086196146357522291, 0.086198305752159241, 0.086200555036631404, 0.086202895150993358, 0.086205327070329005, 0.086207851804759428, 0.08621047039943458, 0.086213183934506429, 0.086215993525081996, 0.086218900321154285, 0.086221905507506316, 0.08622501030358827, 0.086228215963362304, 0.086231523775114116, 0.086234935061226092, 0.08623845117790839, 0.086242073514886733, 0.086245803495038159, 0.086249642573975327, 0.08625359223957034, 0.08625765401141651, 0.086261829440220858, 0.086266120107121425, 0.086270527622925058, 0.086275053627257486, 0.086279699787620581, 0.086284467798347822, 0.086289359379451938, 0.086294376275355411, 0.086299520253496464, 0.086304793102800106, 0.086310196632006592, 0.086315732667843884, 0.086321403053038037, 0.086327209644146294, 0.086333154309202798, 0.086339238925164999, 0.086345465375145578, 0.086351835545419198, 0.086358351322186694, 0.086365014588084155, 0.086371827218419045, 0.086378791077119724, 0.08638590801237761, 0.086393179851968704, 0.086400608398232423, 0.086408195422690751, 0.086415942660288195, 0.086423851803232019, 0.086431924494412088, 0.086440162320380154, 0.086448566803867047, 0.086457139395815494, 0.086465881466908465, 0.08647479429856994, 0.086483879073418299, 0.086493136865149728, 0.086502568627831594, 0.08651217518458823, 0.086521957215656087, 0.086531915245796662, 0.086542049631046766, 0.08655236054479705, 0.086562847963184392, 0.086573511649794807, 0.086584351139668933, 0.086595365722612991, 0.086606554425820506, 0.086617915995813213, 0.086629448879722876, 0.086641151205932104, 0.08665302076411445, 0.08666505498470975, 0.086677250917888096, 0.08668960521206856, 0.086702114092063881, 0.086714773336944773, 0.086727578257724702, 0.086740523674988759, 0.086753603896601819, 0.086766812695653936, 0.086780143288821915, 0.086793588315341508, 0.086807139816813164, 0.086820789218085309, 0.08683452730948539, 0.086848344230687588, 0.086862229456543635, 0.086876171785215103, 0.086890159328984903, 0.086904179508137655, 0.086918219048334147, 0.086932263981919999, 0.086946299653632736, 0.086960310731186874, 0.08697428122123245, 0.086988194491191065, 0.087002033297476383, 0.087015779820608222, 0.087029415707714941, 0.087042922122909816, 0.087056279805992162, 0.087069469139899144, 0.087107827197432791, 0.087143947597046634, 0.087177299048551926, 0.087207394012317155, 0.087233827916240736, 0.08725632333721059, 0.087274776740413104, 0.087289304613213201, 0.087300285444358416, 0.087308394180288004, 0.0873146266516589, 0.087320312981902279, 0.087327120989239504, 0.087337052779339924, 0.087352439768700482, 0.087375943022820632, 0.08741056694873002, 0.087459695174967919, 0.087527158225493701, 0.087617343872247649, 0.087735363517939799, 0.087887292487554863, 0.088080509881728775, 0.088324176456836545, 0.088629909773405249, 0.089012749645319328, 0.089492562729000358, 0.090096129410368958, 0.090860320080677084, 0.091837061992671873, 0.09310134438898543, 0.094764565440397269, 0.096997654667907302, 0.10007291399750598, 0.10444358978518074, 0.11090401267021051, 0.1209329799833295, 0.13748125147053669, 0.1668848000448325, 0.22348020581377481, 0.33708752894310534, 0.52781993459514576, 0.65767602021383775, 0.62772656388655779, 0.62453574055197836, 0.70114651547167961, 0.55262681899969102, 0.29219295777888749, 0.18122712294582352, 0.13817275961904907, 0.1184901944899651, 0.10800957908171128, 0.10175359134524585, 0.09769661389566428, 0.094903677452450388, 0.092898373662569964, 0.09141941275685922, 0.090316548446476408, 0.089502425337807626, 0.088929337034824238, 0.088578468363670518, 0.088456621930570883, 0.088599000008440065, 0.0890791318398578, 0.09003016935611019, 0.091687686565135387, 0.094477687920822409, 0.09920833038598445, 0.10752222177083801, 0.12307397235422736, 0.15495797061950758, 0.22855419310521108, 0.41135354404424218, 0.68254541091985987, 0.55598856417016762, 0.33966132310296576, 0.23353344266354872, 0.18222484572189676, 0.15444305498673627, 0.13779344530967561, 0.1269978718765358, 0.11956069982012482, 0.11418840388645839, 0.11015799872298775, 0.10703972099880035, 0.10456481952520698, 0.10255797911180822, 0.10090068831936042, 0.099510364039467294, 0.098327934851804202, 0.097310177079591179, 0.096424829152052083, 0.095647387456155433, 0.094958951510079867, 0.094344742017046151, 0.093793061024265142, 0.093294548975610403, 0.092841645114289717, 0.092428189679491846, 0.092049126598280753, 0.091700278470187829, 0.091378174269952303, 0.091079915977707732, 0.090803074285715879, 0.090545606254545885, 0.090305789700817166, 0.090082170454258356, 0.089873519596079643, 0.089678798498864426, 0.089497130008636197, 0.089327774496222631, 0.089170109794890734, 0.089023614260767603, 0.088887852360403419, 0.088762462319324512, 0.088647145466206348, 0.088541656986363071, 0.088445797860714423, 0.088359407816057806, 0.088282359152060327, 0.088214551342062464, 0.088155906330031591, 0.088106364466060766, 0.088065881038587701, 0.088034423373719473, 0.088011968481364861, 0.087998501234750448, 0.087994013074850219, 0.087997005041883819, 0.088005981098012429, 0.088020941769569108, 0.088041888137798729, 0.088068822144461559, 0.088101747018842075, 0.08814066782543506, 0.088185592131488064, 0.08823653079360548, 0.088293498862746178, 0.088356516607194069, 0.088425610653471445, 0.08850081524569231, 0.088582173624519603, 0.088669739527709859, 0.088763578815159713, 0.088863771222458754, 0.088970412248094488, 0.089083615180712852, 0.089203513274102059, 0.089330262078810396, 0.08946404194047318, 0.089605060675871123, 0.089753556438405463, 0.08990980078482097, 0.090074101954457017, 0.090246808370760476, 0.090428312371836989, 0.090619054171960728, 0.090819526048530524, 0.091030276738055041, 0.091251916009244344, 0.091485119359674294, 0.09173063275283902, 0.091989277272294875, 0.092261953515842363, 0.092549645481392898, 0.092853423602465415, 0.093174446469179814, 0.093513960613172395, 0.093873297533926023, 0.094253866890774571, 0.09465714447046869, 0.095084653157178886, 0.095537934676461211, 0.096018509361057131, 0.09652782061227054, 0.097067160146970144, 0.097637569603232055, 0.098239713755750427, 0.098873720665255155, 0.099538984845230646, 0.10023393136897094, 0.10095574225190501, 0.10170005196978277, 0.10246062708923699, 0.10322905589171136, 0.10399448715431107, 0.10474347146786478, 0.10545997072773416, 0.10612560719181388, 0.10672021697031506, 0.10722274825921344, 0.10761249877744318, 0.10787062196808594, 0.10798175786529068, 0.10793558051385008, 0.10772802198899316, 0.10736195206114482, 0.10684716789886323, 0.10619966654140137, 0.10544030404965422, 0.10459305270820859, 0.10368312261132101, 0.10273520616588298, 0.10177204385159729, 0.10081342123852655, 0.099875617866959296, 0.09897125857330677, 0.098109476571397514, 0.097296284249417261, 0.096535055109972637, 0.095827039504833178, 0.095171859882142093, 0.094567952801757116, 0.094012942233375113, 0.093503940878192054, 0.093037783896793666, 0.092611203467373102, 0.092220954115858317, 0.09186389869017958, 0.09153706390777161, 0.091237673078343184, 0.090963162198698364, 0.090711184303663858, 0.090479605817126552, 0.09026649770414269, 0.090070123472137054, 0.089888925484402457, 0.089721510604996307, 0.089566635863463362, 0.089423194586031762, 0.089290203266303991, 0.089166789326155516, 0.089052179833282244, 0.088945691185370587, 0.088846719734430868, 0.088754733302630021, 0.088669263528723258, 0.088589898978759907, 0.088516278953899047, 0.088448087930285094, 0.088385050569865467, 0.088326927246001927, 0.088273510033162958, 0.088224619115544772, 0.08818009957489327, 0.088139818522948499, 0.088103662548711464, 0.088071535455093636, 0.088043356263440453, 0.088019057467925224, 0.087998583524892482, 0.087981889564952745, 0.087968940317979707, 0.08795970924321872, 0.087954177858507399, 0.087952335264164558], [0.089689245366630935, 0.089693384407547205, 0.089705810005031167, 0.089726547902770293, 0.089755642078940406, 0.089793156379506911, 0.089839176856987155, 0.089893814870769334, 0.089957211027026085, 0.090029540063263358, 0.090111016816441111, 0.090201903456760824, 0.090302518224919082, 0.090413245983203633, 0.090534550986281159, 0.090666992404309893, 0.090811243301018779, 0.09096811399963009, 0.091138581084701992, 0.091323823724469885, 0.091525269610171392, 0.091744653678099364, 0.09198409403254261, 0.092246191320241686, 0.092534160532952145, 0.092852008343899631, 0.093204775463418293, 0.093598873571258859, 0.09404256267064369, 0.094546641756271685, 0.095125471954657786, 0.095798533120001569, 0.096592865151645502, 0.097547033491900081, 0.09871783916653952, 0.10019223486405135, 0.10210974979066743, 0.10470779467854413, 0.10842170200986623, 0.1141324965332584, 0.12388279662503113, 0.14344922656024492, 0.19517067639815289, 0.41506180606731158, 0.47242621940265672, 0.13990781680885928, 0.096316079775500663, 0.08719659748420179, 0.084838420675120776, 0.084366831617015109, 0.084523104879663191, 0.084901896406296459, 0.085354453245780643, 0.085822232786565658, 0.086281868503230538, 0.086724631804994068, 0.087148065607719899, 0.08755235003274231, 0.087938647938559267, 0.088308325858717424, 0.088662578154877658, 0.089002242669170728, 0.089327710105430447, 0.08963888193243047, 0.089935157086726683, 0.090215440678611633, 0.090478174605662057, 0.090721393204853062, 0.090942807942665821, 0.091139924041900147, 0.091310189029507299, 0.091451168708173838, 0.091560740566972845, 0.091637289132131997, 0.091679883543126575, 0.091688416117234051, 0.091663682867062002, 0.091607393073662113, 0.091522104232250295, 0.091411089149722263, 0.091278151381094186, 0.091127411484278678, 0.090963088569561174, 0.090789299326823988, 0.090609891185084723, 0.090428319135883894, 0.090247568696538494, 0.090070121746007981, 0.089897958166009165, 0.089732584416531355, 0.089575080023829051, 0.089426153934685115, 0.089286204263542085, 0.089155376701330946, 0.089033618479508914, 0.088920726135824246, 0.08881638635729372, 0.088720209893996357, 0.088631758992133103, 0.088550569045834304, 0.088476165272113411, 0.088408075221274279, 0.088345837884156869, 0.088289010075577504, 0.08823717067898959, 0.088189923242647184, 0.088146897329328108, 0.088107748943367342, 0.088072160291616394, 0.088039839078829438, 0.088010517492011484, 0.087983950991227106, 0.087959916994940934, 0.087938213524863709, 0.087918657857359625, 0.087901085214719163, 0.087885347519177245, 0.087871312224737347, 0.087858861236097902, 0.087847889919789285, 0.087838306209662334, 0.087830029806833049, 0.087822991472859935, 0.087817132414127572, 0.087812403755013813, 0.08780876609731017, 0.087806189163476017, 0.087804651521576987, 0.087804140390134872, 0.087804221654095904, 0.087804465539772683, 0.087804872328681075, 0.087805442490463501, 0.087806176683565218, 0.087807075756181935, 0.087808140747483263, 0.08780937288911303, 0.087810773606970802, 0.087812344523279365, 0.087814087458941828, 0.087816004436194597, 0.087818097681563262, 0.087820369629124775, 0.087822822924090008, 0.087825460426707427, 0.087828285216503377, 0.087831300596864045, 0.087834510099973589, 0.087837917492116474, 0.087841526779357137, 0.087845342213612509, 0.087849368299126054, 0.087853609799362589, 0.087858071744336144, 0.087862759438388977, 0.087867678468437196, 0.087872834712701881, 0.087878234349944656, 0.087883883869225896, 0.087889790080207336, 0.087895960124019651, 0.087902401484717049, 0.087909122001341988, 0.087916129880622237, 0.08792343371032682, 0.087931042473303203, 0.087938965562222693, 0.087947212795058197, 0.087955794431322704, 0.087964721189093001, 0.087974004262845268, 0.087983655342129374, 0.087993686631107876, 0.088004110868983951, 0.088014941351344814, 0.088026191952441324, 0.088037877148428922, 0.088050012041586523, 0.088062612385533465, 0.088075694611458991, 0.088089275855374641, 0.088103373986398434, 0.088118007636072235, 0.088133196228711977, 0.088148960012780192, 0.088165320093267288, 0.088182298465057998, 0.088199918047251441, 0.088218202718394936, 0.088237177352581186, 0.088256867856348606, 0.088277301206311359, 0.08829850548743827, 0.088320509931887281, 0.088343344958288869, 0.088367042211371552, 0.088391634601805144, 0.088417156346146469, 0.088443643006765243, 0.088471131531645097, 0.0884996602939713, 0.088529269131450386, 0.088559999385363519, 0.088591893939422794, 0.088624997258614169, 0.088659355428351391, 0.088695016194461407, 0.088732029004785579, 0.088770445053521982, 0.088810317329876848, 0.088851700673177325, 0.088894651837330724, 0.088939229568465977, 0.088985494700794726, 0.089033510277254632, 0.089083341703421026, 0.089135056945599533, 0.089188726787055403, 0.089244425160150576, 0.089302229576945377, 0.089362221686781859, 0.089424487996834987, 0.089489120800911925, 0.08955621937338723, 0.089625891499616486, 0.089698255432196117, 0.089773442384874447, 0.089851599703874088, 0.089932894891145088, 0.090017520697261849, 0.090105701555158957, 0.090197701691843199, 0.090293835335894371, 0.090394479535955238, 0.090500090220616045, 0.090611222261458166, 0.090728554441378131, 0.090852920360902964, 0.090985346394852853, 0.091127097756851322, 0.091279733377355371, 0.091445169346299218, 0.091625748552995212, 0.091824309870697188, 0.092044242048398769, 0.092289492541436743, 0.09256447555015869, 0.092873781167524636, 0.093221525108951792, 0.093610103560957114, 0.094038072523211003, 0.094496975344711395, 0.094967429771271955, 0.095415911922244662, 0.09579524497984912, 0.096052342981605129, 0.096143709077567821, 0.096052342981605199, 0.09579524497984919, 0.095415911922244342, 0.0949674297712719, 0.094496975344711368, 0.094038072523209851, 0.093610103560957503, 0.093221525108952069, 0.092873781167525149, 0.092564475550159314, 0.092289492541436535, 0.092044242048398325, 0.091824309870697063, 0.091625748552995295, 0.091445169346299246, 0.091279733377355621, 0.091127097756851086, 0.090985346394852271, 0.090852920360903242, 0.090728554441378395, 0.090611222261458041, 0.090500090220616169, 0.090394479535955141, 0.090293835335894412, 0.090197701691843241, 0.090105701555158832, 0.090017520697261946, 0.089932894891145074, 0.089851599703874074, 0.089773442384874697, 0.089698255432196089, 0.089625891499616486, 0.089556219373387314, 0.089489120800912036, 0.089424487996834959, 0.089362221686781679, 0.089302229576945322, 0.089244425160150617, 0.089188726787055375, 0.089135056945599672, 0.089083341703421137, 0.089033510277254535, 0.088985494700794809, 0.088939229568466005, 0.088894651837330599, 0.088851700673177297, 0.088810317329876848, 0.088770445053522051, 0.08873202900478562, 0.088695016194461476, 0.088659355428351475, 0.08862499725861403, 0.088591893939422683, 0.088559999385363561, 0.0885292691314504, 0.088499660293971202, 0.088471131531645153, 0.088443643006765243, 0.088417156346146372, 0.088391634601805047, 0.088367042211371441, 0.088343344958288883, 0.088320509931887239, 0.088298505487438395, 0.088277301206311332, 0.088256867856348675, 0.088237177352581173, 0.088218202718394867, 0.088199918047251344, 0.088182298465058082, 0.088165320093267274, 0.088148960012780123, 0.088133196228712005, 0.088118007636072318, 0.088103373986398573, 0.088089275855374627, 0.088075694611458977, 0.088062612385533479, 0.088050012041586453, 0.088037877148428922, 0.088026191952441407, 0.088014941351344758, 0.088004110868983923, 0.087993686631107834, 0.087983655342129402, 0.087974004262845282, 0.087964721189093029, 0.087955794431322648, 0.0879472127950581, 0.087938965562222693, 0.087931042473303217, 0.087923433710326807, 0.087916129880622154, 0.087909122001341988, 0.087902401484717105, 0.087895960124019679, 0.087889790080207225, 0.087883883869225896, 0.087878234349944545, 0.087872834712701853, 0.087867678468437224, 0.08786275943838899, 0.087858071744336061, 0.087853609799362534, 0.087849368299125971, 0.087845342213612454, 0.087841526779357262, 0.087837917492116405, 0.087834510099973714, 0.087831300596864198, 0.087828285216503377, 0.087825460426707427, 0.087822822924090063, 0.087820369629124886, 0.08781809768156322, 0.087816004436194695, 0.087814087458941842, 0.087812344523279351, 0.087810773606970802, 0.087809372889112988, 0.087808140747483263, 0.087807075756181976, 0.087806176683565149, 0.087805442490463514, 0.087804872328681102, 0.087804465539772752, 0.087804221654095918, 0.087804140390134747, 0.087804181019659922, 0.087804302925658939, 0.087804506160406248, 0.087804790811036995, 0.087805156999564885, 0.087805604882906285, 0.087806134652910053, 0.08780674653639535, 0.087807440795194952, 0.087808217726203924, 0.08780907766143517, 0.087810020968078842, 0.087811048048568457, 0.087812159340648885, 0.087813355317450728, 0.087814636487566183, 0.087816003395129141, 0.087817456619895456, 0.087818996777326755, 0.087820624518671606, 0.08782234053105005, 0.087824145537533371, 0.08782604029722281, 0.087828025605324961, 0.087830102293221662, 0.087832271228534195, 0.087834533315178903, 0.087836889493415643, 0.087839340739883587, 0.087841888067624857, 0.087844532526094893, 0.087847275201154873, 0.08785011721504643, 0.087853059726344329, 0.08785610392988738, 0.08785925105668109, 0.087862502373772675, 0.087865859184092926, 0.087869322826263585, 0.087872894674365279, 0.087876576137661852, 0.087880368660280248, 0.087884273720836792, 0.08788829283201012, 0.087892427540051984, 0.087896679424234014, 0.087901050096222885, 0.08790554119937842, 0.08791015440796901, 0.087914891426297034, 0.087919753987728708, 0.087924743853618537, 0.087929862812123102, 0.08793511267689369, 0.087940495285640907, 0.087946012498559892, 0.087951666196609157, 0.087957458279628128, 0.087963390664287905, 0.087969465281859671, 0.087975684075789873, 0.087982048999069931, 0.087988562011385787, 0.087995225076035175, 0.088002040156595226, 0.088009009213327938, 0.088016134199304652, 0.088023417056235315, 0.088030859709982617, 0.0880384640657456, 0.088046232002891647, 0.088054165369418361, 0.088062265976026399, 0.088070535589781521, 0.088078975927345426, 0.08808758864775354, 0.088096375344719882, 0.088105337538444545, 0.088114476666903876, 0.088123794076600495, 0.08813329101275226, 0.088142968608898142, 0.08815282787589962, 0.088162869690321721, 0.088173094782168476, 0.088183503721963333, 0.088194096907152547, 0.088204874547823914, 0.088215836651726276, 0.088226983008587168, 0.088238313173721286, 0.088249826450933808, 0.088261521874724677, 0.088273398191803895, 0.088285453841940684, 0.088297686938166961, 0.088310095246377493, 0.088322676164364511, 0.088335426700344069, 0.08834834345104256, 0.088361422579418258, 0.088374659792116741, 0.088388050316763445, 0.088401588879223808, 0.088415269680970632, 0.088429086376723059, 0.088443032052541837, 0.088457099204583278, 0.088471279718742094, 0.088485564851434731, 0.088499945211802475, 0.088514410745633113, 0.088528950721335528, 0.088543553718318305, 0.088558207618157775, 0.088572899598958824, 0.088587616133343719, 0.088602342990520458, 0.088617065242907078, 0.088631767277803544, 0.088646432814617454, 0.088661044928159793, 0.088675586078528934, 0.08869003814810196, 0.088704382486138614, 0.088718599961492506, 0.088732671023888474, 0.088746575774198908, 0.088787089669442848, 0.0888253755525161, 0.088860897930910412, 0.088893168318544241, 0.088921785745045778, 0.088946482374681876, 0.088967171797510292, 0.088983996800904561, 0.088997373056602477, 0.089008025364983173, 0.089017013998393277, 0.089025750256115657, 0.089036002408898349, 0.08904989547806931, 0.089069910439375066, 0.089098890218958254, 0.089140061186426603, 0.089197079903457349, 0.089274116044832291, 0.089375984274007975, 0.089508341237353073, 0.089677969822917897, 0.089893182960629883, 0.090164395945164566, 0.090504943612164865, 0.090932263862015167, 0.091469645056656987, 0.092148866214929126, 0.093014293203412368, 0.094129426791901075, 0.095587729746289166, 0.097531229809311948, 0.10018392125338546, 0.10391486802460528, 0.10936469310163496, 0.11771723307138829, 0.13133107947768488, 0.15533891492364765, 0.20198206166521945, 0.3014057897851718, 0.49995898914743858, 0.65452145846085374, 0.53231166303915922, 0.41580438990342677, 0.40948250354926219, 0.54946059220078258, 0.71207315862926357, 0.39289546800339226, 0.21186605906431505, 0.15035766143557086, 0.12490151916327069, 0.11214857287907197, 0.10482488813899958, 0.10019363347912065, 0.097055719949163469, 0.094821452693517563, 0.093174747229910093, 0.091935642806044493, 0.090998399730922774, 0.090301791002325799, 0.089814674139311407, 0.089529899219734671, 0.089463940851486623, 0.089662093732060591, 0.090211350834676962, 0.091266661181377245, 0.093103779842526477, 0.096230078301374949, 0.10163313549689768, 0.11138978601864596, 0.1303269140925645, 0.17110927528606404, 0.27063984489011383, 0.512197238753484, 0.69695870524998427, 0.46620544001697101, 0.29202304668825485, 0.21149104395230461, 0.17124287480944703, 0.14863393879348474, 0.13467215460001128, 0.1254029533923891, 0.11889611672040186, 0.11412365965549037, 0.11049788328777682, 0.10766279505104234, 0.10539221565743993, 0.10353659589649886, 0.10199366234935199, 0.10069142657035349, 0.099577940724424663, 0.098614898517225727, 0.097773512580065697, 0.097031785168418191, 0.09637265711719406, 0.095782725083751782, 0.095251335231148856, 0.094769931585852549, 0.094331580009014385, 0.093930615379204385, 0.093562376595751437, 0.093223005086493033, 0.092909289847171311, 0.092618546991941872, 0.092348525186658384, 0.092097330694036195, 0.091863367420395123, 0.091645288538254321, 0.091441957114166666, 0.091252413795471568, 0.09107585007034108, 0.090911585958977997, 0.090759051252509201, 0.090617769612811941, 0.090487344997461513, 0.090367449990884266, 0.090257815714062564, 0.0901582230569134, 0.090068495034293289, 0.089988490111714309, 0.089918096382858137, 0.089857226509607493, 0.089805813358033212, 0.089763806281654202, 0.08973116801715629, 0.08970787216838258, 0.089693901262324488, 0.089689245366630935, 0.089692349145589712, 0.089701660794662533, 0.089717181315865757, 0.089738912597201126, 0.089766857739274758, 0.089801021511910717, 0.089841410940223895, 0.089888036019596676, 0.089940910559111562, 0.090000053153217199, 0.090065488281767081, 0.090137247539097076, 0.090215370993493693, 0.09029990867925955, 0.090390922224618711, 0.090488486619888842, 0.090592692131729657, 0.090703646370755731, 0.090821476521447522, 0.090946331745003259, 0.091078385767525749, 0.091217839667680226, 0.091364924879562229, 0.09151990642791813, 0.091683086413832035, 0.091854807769364263, 0.092035458299086326, 0.092225475024588902, 0.092425348844330846, 0.092635629514928888, 0.092856930950205654, 0.093089936819780561, 0.093335406408042859, 0.093594180664817242, 0.093867188338149762, 0.09415545202371875, 0.09446009388979705, 0.094782340735593926, 0.095123527906814734, 0.095485101416506513, 0.095868617391017874, 0.096275737668018987, 0.096708220002837353, 0.097167900878007765, 0.09765666834886616, 0.09817642169230513, 0.098729013867605145, 0.099316171983896667, 0.099939390175312129, 0.10059978865224892, 0.10129793245557148, 0.10203360394133094, 0.10280552476565893, 0.10361102677613813, 0.10444567751551299, 0.10530287576340847, 0.1061734461677374, 0.10704527932818007, 0.10790308315607175, 0.10872832944174667, 0.10949949040746973, 0.11019265561116798, 0.11078259141442938, 0.11124424766390972, 0.11155463090324827, 0.11169486334356184, 0.1116521570941393, 0.11142138577640973, 0.11100595794999815, 0.11041779759462618, 0.10967639769429567, 0.10880709080821455, 0.10783882349881728, 0.1068017898136404, 0.10572526039427314, 0.10463585545665768, 0.10355638764003354, 0.1025052823628151, 0.10149649543972099, 0.10053980055332516, 0.099641309084679205, 0.09880410048543109, 0.098028870025071727, 0.097314532045850569, 0.096658744383201614, 0.096058340535280493, 0.095509670173395442, 0.095008856713535011, 0.094551984437329831, 0.094135228535656618, 0.093754940645109863, 0.093407700813528699, 0.093090344920325391, 0.092799974713255282, 0.092533955968018347, 0.092289908892054004, 0.092065693782217503, 0.091859394081361595, 0.09166929832311882, 0.091493881967446233, 0.091331789775226865, 0.09118181911721375, 0.091042904435499603, 0.090914102954522902, 0.09079458165803847, 0.090683605496921976, 0.090580526761558103, 0.090484775535593739, 0.0903958511404825, 0.090313314479240972, 0.090236781190890125, 0.090165915532557137, 0.090100424913059668, 0.090040055009242087, 0.089984585403878228, 0.08993382569129095, 0.08988761200375836, 0.089845803918184433, 0.089808281708339682, 0.089774943913223174, 0.08974570519676156, 0.089720494478183685, 0.089699253316005145, 0.089681934531707336, 0.089668501061906117, 0.089658925030158973, 0.08965318703160749, 0.089651275625422022], [0.09149014882233597, 0.091494448443920018, 0.091507356422471361, 0.091528900440599595, 0.091559127781117217, 0.091598107072373744, 0.091645930788792226, 0.091702718568036107, 0.091768621430305314, 0.091843827014927742, 0.091928565986703445, 0.092023119812031359, 0.092127830166361044, 0.092243110314833107, 0.092369458913873367, 0.092507476822496049, 0.092657887701638131, 0.092821563437322202, 0.092999555777040055, 0.093193136060074622, 0.093403845613721573, 0.093633560373171262, 0.093884574709102206, 0.094159711543414445, 0.09446246896753073, 0.094797218350612431, 0.09516947634278114, 0.095586284966304294, 0.096056753187534843, 0.096592845502523048, 0.097210558544311071, 0.097931725833301009, 0.09878687494619362, 0.099819919253341133, 0.10109619896994716, 0.10271698024839576, 0.10484725034586814, 0.1077731745624302, 0.11203272790840436, 0.11875192259525777, 0.13066924896115328, 0.15611368481014226, 0.23129141770096276, 0.57360566734066631, 0.30796632222490156, 0.12153855863968342, 0.094177034979130908, 0.087867069033290071, 0.086244876226449496, 0.086017826496969665, 0.086268760951300455, 0.086688799979432116, 0.087161661465186113, 0.087641132812016062, 0.088108941519536771, 0.088558587909981723, 0.088988623181064402, 0.089399685293617845, 0.089793134563566621, 0.090170405539566373, 0.090532691567832849, 0.090880788116565109, 0.091215014108595102, 0.091535174147306941, 0.091840546028824466, 0.092129889054593503, 0.092401474535797043, 0.092653142716985187, 0.09288239097922539, 0.093086496844131825, 0.093262676052354554, 0.093408271040821916, 0.09352095907375485, 0.093598963157755066, 0.093641244158301593, 0.093647650793129283, 0.093619006566069238, 0.093557119469242972, 0.093464710461840517, 0.093345268282487556, 0.093202848495779783, 0.093041841520591778, 0.092866736449443571, 0.092681904789277236, 0.092491422046564659, 0.092298937189237401, 0.092107592287326415, 0.091919988419046653, 0.09173818989136974, 0.091563756986557998, 0.091397797401500142, 0.091241027701438604, 0.091093837878702941, 0.090956354026544284, 0.090828495903343381, 0.09071002761507925, 0.090600600735712189, 0.090499789936971026, 0.090407121666908799, 0.090322096667330362, 0.090244207217224856, 0.090172949985809367, 0.090107835315489604, 0.090048393661223872, 0.089994179808012442, 0.089944775384699652, 0.089899790096909557, 0.089858862017977617, 0.089821657205245875, 0.089787868849660696, 0.089757216118188127, 0.089729442809718271, 0.089704315914408903, 0.089681624142407906, 0.089661176469344281, 0.089642800731810177, 0.08962634229536158, 0.089611662809587239, 0.089598639058948673, 0.089587161913874627, 0.089577135383633613, 0.089568475770497855, 0.089561110923430859, 0.08955497958877813, 0.089550030855103324, 0.089546223689263571, 0.089543526560988115, 0.089541917153554335, 0.089541382158590838, 0.089541467402370095, 0.089541723232313589, 0.089542149944382643, 0.089542748032324398, 0.089543518188392665, 0.089544461304356976, 0.089545578472806281, 0.089546870988747473, 0.089548340351503525, 0.089549988266917138, 0.089551816649863017, 0.089553827627076171, 0.08955602354030387, 0.089558406949784758, 0.089560980638070775, 0.089563747614192599, 0.089566711118185455, 0.089569874625981885, 0.089573241854685126, 0.089576816768235298, 0.089580603583479593, 0.089584606776665965, 0.089588831090368887, 0.089593281540868833, 0.089597963425999239, 0.089602882333480849, 0.089608044149761645, 0.089613455069381856, 0.089619121604887872, 0.089625050597312933, 0.089631249227252005, 0.089637725026551901, 0.089644485890643888, 0.089651540091543691, 0.08965889629154683, 0.089666563557647627, 0.089674551376710654, 0.089682869671425317, 0.089691528817072416, 0.089700539659138268, 0.08970991353180488, 0.089719662277350593, 0.089729798266495131, 0.089740334419721499, 0.089751284229608833, 0.089762661784210412, 0.089774481791508431, 0.089786759604980448, 0.08979951125030626, 0.089812753453248031, 0.089826503668732099, 0.089840780111157287, 0.089855601785956821, 0.089870988522431736, 0.089886961007877172, 0.089903540823012329, 0.089920750478725386, 0.089938613454137006, 0.089957154235980816, 0.089976398359294649, 0.089996372449409917, 0.090017104265219916, 0.090038622743700947, 0.09006095804565778, 0.090084141602659817, 0.090108206165127686, 0.090133185851540135, 0.090159116198722383, 0.090186034213200775, 0.090213978423612562, 0.09024298893419723, 0.090273107479429654, 0.090304377479913586, 0.0903368440997388, 0.090370554305604062, 0.09040555692816496, 0.090441902726249468, 0.09047964445484144, 0.090518836938059691, 0.090559537148786326, 0.090601804297137767, 0.090645699930675588, 0.090691288050132018, 0.090738635245551424, 0.090787810859161724, 0.090838887183077352, 0.090891939702171534, 0.090947047395270417, 0.091004293111334053, 0.091063764041681414, 0.091125552314805333, 0.091189755747148299, 0.091256478791730919, 0.091325833737112755, 0.091397942222348871, 0.09147293714998718, 0.091550965099519446, 0.091632189368977962, 0.091716793803750099, 0.091804987610532129, 0.091897011402364101, 0.091993144779751873, 0.092093715825089364, 0.092199112974951536, 0.092309799838700884, 0.092426333652097362, 0.092549388187210285, 0.092679782073498446, 0.092818513593190738, 0.092966803042972765, 0.093126143598017908, 0.093298361074775321, 0.093485681700938114, 0.093690804311322956, 0.093916968157525205, 0.094167997831467232, 0.094448289615886749, 0.094762674527040694, 0.095116047436826223, 0.095512586982108488, 0.095954319359033952, 0.096438751131165484, 0.096955442114751225, 0.097481944046033261, 0.097980713599811406, 0.098400135306955724, 0.098683118874561895, 0.098783433385196309, 0.098683118874562006, 0.098400135306955766, 0.097980713599811003, 0.09748194404603315, 0.096955442114751239, 0.096438751131164277, 0.095954319359034326, 0.095512586982108807, 0.095116047436826834, 0.094762674527041388, 0.094448289615886555, 0.09416799783146676, 0.093916968157525108, 0.093690804311323095, 0.09348568170093817, 0.093298361074775557, 0.093126143598017685, 0.09296680304297221, 0.092818513593191043, 0.092679782073498737, 0.09254938818721016, 0.0924263336520975, 0.092309799838700815, 0.092199112974951564, 0.092093715825089392, 0.091993144779751762, 0.091897011402364226, 0.091804987610532116, 0.091716793803750057, 0.091632189368978198, 0.091550965099519419, 0.091472937149987193, 0.091397942222348927, 0.091325833737112894, 0.091256478791730933, 0.091189755747148188, 0.091125552314805305, 0.091063764041681414, 0.091004293111334039, 0.090947047395270528, 0.090891939702171617, 0.090838887183077241, 0.090787810859161835, 0.090738635245551424, 0.090691288050131921, 0.090645699930675547, 0.090601804297137795, 0.090559537148786368, 0.090518836938059691, 0.090479644454841524, 0.090441902726249551, 0.090405556928164821, 0.090370554305603978, 0.090336844099738814, 0.0903043774799136, 0.090273107479429585, 0.090242988934197285, 0.090213978423612548, 0.09018603421320065, 0.090159116198722272, 0.09013318585154001, 0.090108206165127727, 0.09008414160265979, 0.090060958045657905, 0.090038622743700919, 0.090017104265219999, 0.089996372449409917, 0.089976398359294607, 0.089957154235980746, 0.089938613454137131, 0.0899207504787254, 0.089903540823012246, 0.089886961007877172, 0.089870988522431819, 0.089855601785956946, 0.089840780111157315, 0.089826503668732086, 0.089812753453248045, 0.089799511250306177, 0.089786759604980504, 0.089774481791508556, 0.089762661784210371, 0.089751284229608791, 0.089740334419721499, 0.0897297982664952, 0.089719662277350648, 0.089709913531804908, 0.08970053965913824, 0.089691528817072319, 0.089682869671425317, 0.089674551376710709, 0.089666563557647599, 0.089658896291546747, 0.089651540091543705, 0.089644485890643957, 0.089637725026551984, 0.089631249227251894, 0.089625050597312905, 0.089619121604887747, 0.08961345506938187, 0.089608044149761687, 0.089602882333480932, 0.089597963425999169, 0.089593281540868805, 0.089588831090368817, 0.089584606776665909, 0.089580603583479718, 0.089576816768235257, 0.089573241854685223, 0.089569874625981941, 0.089566711118185496, 0.089563747614192529, 0.089560980638070817, 0.089558406949784911, 0.089556023540303814, 0.089553827627076282, 0.089551816649863003, 0.089549988266917124, 0.08954834035150358, 0.089546870988747446, 0.089545578472806309, 0.08954446130435699, 0.089543518188392596, 0.089542748032324454, 0.089542149944382671, 0.089541723232313686, 0.089541467402370109, 0.089541382158590699, 0.089541424777882489, 0.089541552653876658, 0.089541765840934026, 0.089542064429667598, 0.089542448546960737, 0.08954291835599297, 0.089543474056270639, 0.089544115883666259, 0.089544844110464067, 0.089545659045410439, 0.089546561033771982, 0.089547550457397401, 0.089548627734786571, 0.089549793321161447, 0.089551047708543649, 0.089552391425833766, 0.089553825038894794, 0.089555349150636246, 0.089556964401101516, 0.089558671467552961, 0.089560471064560138, 0.089562363944083456, 0.089564350895556713, 0.089566432745966165, 0.089568610359923903, 0.089570884639735615, 0.089573256525459319, 0.089575726994957014, 0.089578297063932597, 0.089580967785958185, 0.089583740252485944, 0.089586615592842214, 0.089589594974202297, 0.089592679601543684, 0.089595870717575812, 0.089599169602641263, 0.089602577574588296, 0.089606095988609052, 0.089609726237041873, 0.089613469749133715, 0.089617327990756682, 0.089621302464078983, 0.089625394707180644, 0.089629606293613995, 0.089633938831899893, 0.089638393964957999, 0.089642973369463058, 0.089647678755121502, 0.089652511863862916, 0.089657474468938209, 0.089662568373919435, 0.089667795411590798, 0.089673157442725082, 0.089678656354735459, 0.089684294060195041, 0.089690072495212353, 0.089695993617656025, 0.089702059405213072, 0.089708271853275179, 0.089714632972636446, 0.089721144786992738, 0.08972780933022835, 0.089734628643476186, 0.089741604771938419, 0.089748739761449883, 0.089756035654771346, 0.089763494487593284, 0.089771118284236034, 0.089778909053024977, 0.089786868781325649, 0.089794999430217293, 0.089803302928785245, 0.089811781168013596, 0.089820435994255057, 0.089829269202257866, 0.089838282527727298, 0.089847477639401069, 0.089856856130614254, 0.089866419510333542, 0.089876169193636682, 0.08988610649161724, 0.0898962326006916, 0.089906548591286675, 0.089917055395892245, 0.089927753796453722, 0.089938644411093838, 0.089949727680144018, 0.08996100385147586, 0.08997247296512012, 0.089984134837170229, 0.089995989042964311, 0.090008034899550907, 0.090020271447444677, 0.090032697431684808, 0.090045311282220333, 0.09005811109364395, 0.090071094604320417, 0.090084259174949069, 0.090097601766620877, 0.090111118918442354, 0.090124806724804704, 0.090138660812401281, 0.090152676317102109, 0.090166847860820534, 0.090181169528518054, 0.090195634845517542, 0.090210236755317988, 0.090224967598118821, 0.090239819090293549, 0.090254782305073084, 0.090269847654727328, 0.090285004874552877, 0.090300243009013917, 0.090315550400396002, 0.090330914680371951, 0.090346322764893988, 0.090361760852859338, 0.090377214429015348, 0.090392668271591384, 0.090408106465163313, 0.090423512419269089, 0.090438868893304769, 0.090454158028230758, 0.090469361385620325, 0.09048445999456535, 0.090499434406945564, 0.090514264761528268, 0.090528930857339637, 0.090571738300030083, 0.090612326983124949, 0.090650157060867126, 0.090684739293547673, 0.090715676978547904, 0.090742713153199872, 0.090765780598656642, 0.090785051421851393, 0.090800982634131472, 0.090814354380743076, 0.090826298420141963, 0.090838316083517737, 0.090852287087410444, 0.090870472935543262, 0.090895520912510977, 0.090930476608517802, 0.090978814471300185, 0.091044497251517781, 0.091132076840988466, 0.091246851600562257, 0.091395099811700631, 0.091584416726493881, 0.091824195872153999, 0.092126317082343104, 0.092506139849033511, 0.09298396120979259, 0.093587201480289609, 0.094353765220128338, 0.095337361734947459, 0.096616210645454198, 0.098307833605479483, 0.10059530128296926, 0.10377621532970285, 0.10835969364162949, 0.11527235041571608, 0.1263337259188701, 0.14546544152502638, 0.18209807589081248, 0.26124010760317773, 0.44055274708565706, 0.65092325782924632, 0.50341547948640686, 0.32735810230546708, 0.25805369461760441, 0.25752602242934147, 0.34768764068490021, 0.6484422254536234, 0.54994814468707376, 0.25781855619538757, 0.16647681591167143, 0.13278249480595947, 0.11703966550090567, 0.10838071592574769, 0.10305594155885422, 0.099513325727900892, 0.097018559883063016, 0.095188193470667523, 0.09380716558976876, 0.09274920726010967, 0.091939243625384678, 0.09133488037327997, 0.090917639948555132, 0.090690128123981556, 0.090678011888026849, 0.090937615606677999, 0.091572321761874825, 0.092765384827825328, 0.094846758068505177, 0.098436747341263786, 0.10477942020207703, 0.11659511959339033, 0.14052763596695178, 0.19503315694889339, 0.33495772592375506, 0.62893017661481732, 0.63497351048999473, 0.38614970589199915, 0.25509772831283645, 0.19426480466780505, 0.16255137453809876, 0.14405753752145653, 0.13229594717809148, 0.12430549444360038, 0.11859247779143467, 0.1143393125055598, 0.11106789571212544, 0.10848311845069894, 0.10639448923686473, 0.10467434523719052, 0.10323436205780569, 0.10201174086355845, 0.10096076474121161, 0.10004746029637464, 0.099246121367714032, 0.098536985549228823, 0.097904644827569332, 0.09733693561967123, 0.096824149016763242, 0.096358459297005261, 0.095933503984736462, 0.095544070905410852, 0.095185861943365688, 0.094855312558589366, 0.094549452358964378, 0.094265796258718046, 0.094002258670835337, 0.093757085219351027, 0.09352879790039835, 0.093316150655192831, 0.09311809306822999, 0.09293374045404991, 0.092762349003600267, 0.092603294966513316, 0.092456057076473946, 0.092320201603098992, 0.09219536954953976, 0.092081265620528069, 0.09197764866818911, 0.091884323388069816, 0.091801133089368256, 0.091727953404320828, 0.091664686834222117, 0.091611258055312672, 0.091567609928045204, 0.091533700168995452, 0.091509498656802538, 0.091494985352625055, 0.09149014882233597, 0.091493373011375265, 0.091503046063392518, 0.091519169503101322, 0.091541746104989524, 0.091570780243029046, 0.091606278379831582, 0.091648249694942299, 0.091696706852026535, 0.091751666904908949, 0.091813152342764229, 0.09188119227525321, 0.09195582375908512, 0.092037093268357642, 0.09212505831209937, 0.092219789203732611, 0.092321370988655907, 0.09242990553787464, 0.092545513817489933, 0.092668338345966328, 0.09279854585334478, 0.092936330158937291, 0.09308191528649308, 0.093235558838242749, 0.093397555651560327, 0.093568241764011073, 0.093747998714116335, 0.093937258205962534, 0.09413650716539225, 0.094346293213416824, 0.094567230577939088, 0.094800006456860889, 0.095045387832843053, 0.095304228720574036, 0.095577477798972965, 0.09586618634017828, 0.096171516290216294, 0.096494748277510672, 0.096837289217869993, 0.097200679039295662, 0.097586595855729028, 0.097996858661907271, 0.098433426285437831, 0.09889839089830553, 0.099393963838285138, 0.099922450802266277, 0.10048621263504788, 0.10108760694887081, 0.10172890469739178, 0.10241217466516542, 0.10313912776670188, 0.10391091233678645, 0.10472785165370344, 0.10558911639299043, 0.10649232842083012, 0.10743309937782976, 0.10840451903742851, 0.10939662538804307, 0.11039591093366231, 0.11138494634072403, 0.11234222911718321, 0.11324238383363881, 0.1140568404078699, 0.11475508559979838, 0.11530651052298319, 0.11568276376668142, 0.1158603819628628, 0.11582334196844166, 0.11556510737912888, 0.1150897676257665, 0.11441200475507046, 0.11355584512329091, 0.11255239831666435, 0.11143697864223227, 0.11024608960096109, 0.10901471455106863, 0.1077742259300344, 0.1065510544142676, 0.1053661015181498, 0.10423476890371158, 0.10316742534987261, 0.10217012925292948, 0.10124545300539964, 0.10039329764074509, 0.099611628384460374, 0.098897096742578211, 0.098245539883795321, 0.097652363810906695, 0.097112825098013222, 0.096622229047449076, 0.096176061982046077, 0.095770073534302003, 0.095400322233682611, 0.095063195036743334, 0.09475540901607063, 0.094474001361819451, 0.094216312183256407, 0.093979963299178571, 0.093762835222536367, 0.093563043817150415, 0.093378917577608161, 0.09320897610960914, 0.093051910128272283, 0.092906563115667806, 0.092771914662708635, 0.092647065447013538, 0.09253122375454878, 0.092423693429391343, 0.0923238631261349, 0.092231196738536039, 0.092145224882642707, 0.092065537320593027, 0.091991776220948646, 0.091923630161818426, 0.091860828793461607, 0.091803138087109395, 0.091750356106176878, 0.091702309244710387, 0.091658848885780519, 0.091619848439580751, 0.091585200727247032, 0.091554815681923182, 0.091528618343421853, 0.091506547127007981, 0.09148855235046896, 0.091474595006747372, 0.091464645772105821, 0.091458684242123237, 0.091456698389834071], [0.093117726761198089, 0.093122190905305588, 0.093135593127491978, 0.093157963161697541, 0.093189351787469357, 0.093229832694665851, 0.093279505156487211, 0.093338497578073831, 0.093406972014324199, 0.093485129783168197, 0.093573218341559711, 0.09367153964388987, 0.093780460270455696, 0.093900423702519803, 0.094031965237994383, 0.094175730198607824, 0.094332496290862183, 0.094503201271141979, 0.094688977462194818, 0.094891195221545765, 0.095111518243794074, 0.095351974697543085, 0.095615049823433773, 0.09590380802043752, 0.096222056054777752, 0.096574564550039793, 0.096967373554825598, 0.097408221803610931, 0.097907161963486547, 0.098477462437443194, 0.099136962984338314, 0.09991017183160153, 0.10083161840816852, 0.10195142206388087, 0.10334496557038439, 0.10513062140751978, 0.10750440901393181, 0.11081341838698244, 0.11572809372958856, 0.12370471546540611, 0.13847997555677299, 0.17240429419796718, 0.28656941097904692, 0.69192864796892151, 0.21451452774445082, 0.11090678558137147, 0.093062265189895826, 0.088657540143232724, 0.087575825563645265, 0.087536851123821952, 0.087862717181641015, 0.088316111632734465, 0.088805787280879026, 0.089295290100900315, 0.089770449164448443, 0.090226576630106234, 0.09066304441478483, 0.091080859168628278, 0.091481534214033877, 0.09186654884914662, 0.092237082387600533, 0.09259387974198735, 0.092937181828829693, 0.093266690446750622, 0.093581555534729646, 0.093880382368551007, 0.09416126147326806, 0.094421826562571892, 0.094659346258998953, 0.094870853788019113, 0.095053315247420805, 0.095203831599596889, 0.09531986282369212, 0.095399455857990728, 0.095441452688046949, 0.095445652939061723, 0.095412907919209505, 0.095345130519800605, 0.095245216636407989, 0.095116886536870004, 0.094964465986285287, 0.094792634395552453, 0.09460616937975419, 0.094409713989690433, 0.094207585907034611, 0.094003639148452181, 0.093801180350863128, 0.093602934984874708, 0.093411054558283677, 0.093227154010706789, 0.093052368584034872, 0.092887420811779711, 0.092732690257504191, 0.092588280745878923, 0.092454081746506017, 0.092329822128923308, 0.092215115664204511, 0.09210949843423627, 0.092012458789466706, 0.091923460744612856, 0.091841961789109472, 0.091767426072417779, 0.091699333847203718, 0.091637187946642565, 0.091580517956037277, 0.091528882625973904, 0.091481870971269683, 0.091439102410049211, 0.091400226221213035, 0.091364920535692687, 0.091332891025915561, 0.091303869417213843, 0.091277611912870024, 0.091253897599562761, 0.091232526880802606, 0.091213319971367335, 0.091196115474796446, 0.091180769057880445, 0.091167152230161683, 0.091155151232228129, 0.091144666033635705, 0.091135609439326512, 0.091127906302179568, 0.091121492838639975, 0.091116316044099158, 0.091112333204716428, 0.091109511502606877, 0.091107827711716577, 0.091107267982202741, 0.091107357330485667, 0.091107625478907772, 0.091108072738342288, 0.091108699627420145, 0.091109506873296789, 0.0911104954127262, 0.091111666393447879, 0.091113021175887973, 0.091114561335179881, 0.091116288663509709, 0.091118205172791067, 0.091120313097676653, 0.091122614898915058, 0.091125113267057162, 0.091127811126527999, 0.091130711640066503, 0.091133818213550211, 0.091137134501212441, 0.091140664411268141, 0.091144412111959658, 0.091148382038037087, 0.091152578897692516, 0.091157007679959767, 0.091161673662601472, 0.091166582420500797, 0.091171739834578297, 0.091177152101255099, 0.091182825742484139, 0.09118876761637551, 0.091194984928437348, 0.091201485243461042, 0.091208276498077445, 0.091215367014012089, 0.091222765512070716, 0.091230481126884422, 0.091238523422449536, 0.091246902408494548, 0.091255628557709287, 0.091264712823872288, 0.091274166660916742, 0.091284002042970186, 0.091294231485409869, 0.091304868066974645, 0.091315925452974733, 0.091327417919642148, 0.091339360379665696, 0.091351768408953232, 0.091364658274666916, 0.091378046964574175, 0.091391952217759628, 0.09140639255674253, 0.091421387321041298, 0.091436956702229483, 0.091453121780522201, 0.091469904562936591, 0.091487328023060269, 0.091505416142467669, 0.091524193953816807, 0.09154368758565852, 0.091563924308989089, 0.091584932585574305, 0.091606742118072862, 0.09162938390198426, 0.091652890279451227, 0.091677294994948325, 0.091702633252891907, 0.09172894177722446, 0.09175625887303146, 0.091784624490285113, 0.091814080289829098, 0.091844669711775975, 0.091876438046543468, 0.091909432508841621, 0.091943702315037748, 0.09197929876446248, 0.092016275325420893, 0.092054687726909432, 0.092094594057360049, 0.092136054872136108, 0.092179133312022307, 0.092223895235601774, 0.092270409369249962, 0.092318747479516183, 0.092368984573986443, 0.092421199138375057, 0.092475473419671314, 0.092531893767764245, 0.092590551051218925, 0.092651541166928489, 0.092714965668416235, 0.092780932543862146, 0.092849557182747511, 0.092920963579759999, 0.092995285836699471, 0.093072670038171601, 0.093153276595529425, 0.093237283176717117, 0.093324888368415876, 0.093416316252526319, 0.093511822123052493, 0.093611699623757219, 0.093716289653546489, 0.093825991467620579, 0.093941276499986084, 0.094062705548024053, 0.09419095009152631, 0.094326818661157413, 0.094471289309774359, 0.094625549341590634, 0.094791043452715107, 0.094969531205427726, 0.095163154061891769, 0.095374510613341373, 0.095606735400777049, 0.095863570527451231, 0.096149407946680865, 0.096469260491110292, 0.096828586672809761, 0.097232842951112952, 0.097686566445496503, 0.098191716287579903, 0.098744982120635635, 0.099333949606136812, 0.099932647745801351, 0.10049830661464135, 0.10097277078252417, 0.10129224690827132, 0.10140537071578974, 0.10129224690827139, 0.10097277078252431, 0.10049830661464089, 0.09993264774580117, 0.099333949606136868, 0.098744982120634248, 0.098191716287580375, 0.097686566445496781, 0.097232842951113604, 0.096828586672810482, 0.096469260491110001, 0.096149407946680351, 0.095863570527451064, 0.09560673540077716, 0.095374510613341387, 0.095163154061892061, 0.094969531205427463, 0.094791043452714441, 0.094625549341590925, 0.094471289309774664, 0.094326818661157275, 0.094190950091526449, 0.094062705548023984, 0.093941276499986126, 0.093825991467620634, 0.093716289653546364, 0.093611699623757344, 0.093511822123052465, 0.093416316252526332, 0.093324888368416181, 0.09323728317671702, 0.093153276595529452, 0.09307267003817167, 0.092995285836699595, 0.092920963579759944, 0.09284955718274733, 0.092780932543862091, 0.092714965668416263, 0.092651541166928489, 0.092590551051219064, 0.092531893767764314, 0.092475473419671175, 0.092421199138375154, 0.092368984573986485, 0.092318747479516058, 0.092270409369249906, 0.092223895235601816, 0.092179133312022335, 0.092136054872136094, 0.092094594057360118, 0.092054687726909473, 0.092016275325420727, 0.091979298764462383, 0.091943702315037776, 0.091909432508841635, 0.091876438046543371, 0.091844669711776045, 0.091814080289829084, 0.091784624490284961, 0.091756258873031349, 0.091728941777224307, 0.091702633252891935, 0.091677294994948311, 0.09165289027945131, 0.091629383901984246, 0.091606742118072904, 0.091584932585574291, 0.091563924308989034, 0.091543687585658451, 0.091524193953816904, 0.091505416142467655, 0.091487328023060199, 0.091469904562936591, 0.091453121780522298, 0.09143695670222958, 0.091421387321041339, 0.091406392556742502, 0.091391952217759587, 0.091378046964574064, 0.091364658274666916, 0.091351768408953343, 0.091339360379665668, 0.091327417919642079, 0.091315925452974719, 0.091304868066974729, 0.091294231485409924, 0.091284002042970214, 0.091274166660916686, 0.091264712823872204, 0.091255628557709273, 0.09124690240849459, 0.091238523422449563, 0.091230481126884339, 0.09122276551207073, 0.091215367014012186, 0.091208276498077487, 0.091201485243460931, 0.091194984928437292, 0.091188767616375385, 0.091182825742484125, 0.091177152101255127, 0.091171739834578339, 0.091166582420500714, 0.091161673662601431, 0.091157007679959698, 0.091152578897692446, 0.091148382038037212, 0.091144412111959588, 0.091140664411268224, 0.091137134501212524, 0.091133818213550211, 0.091130711640066503, 0.091127811126528041, 0.091125113267057301, 0.091122614898915016, 0.091120313097676792, 0.091118205172791067, 0.091116288663509723, 0.091114561335179894, 0.091113021175887918, 0.091111666393447879, 0.09111049541272627, 0.091109506873296706, 0.091108699627420173, 0.091108072738342344, 0.091107625478907855, 0.09110735733048568, 0.091107267982202561, 0.09110731265359788, 0.091107446686606058, 0.091107670137698257, 0.091107983101005194, 0.091108385708336112, 0.091108878129205331, 0.091109460570864234, 0.091110133278342359, 0.091110896534494154, 0.09111175066005188, 0.091112696013685657, 0.091113732992067903, 0.091114862029944899, 0.091116083600210687, 0.091117398213987358, 0.091118806420707923, 0.091120308808202613, 0.091121906002786468, 0.091123598669350228, 0.091125387511448802, 0.091127273271392945, 0.091129256730336325, 0.091131338708361681, 0.091133520064562823, 0.091135801697121405, 0.091138184543377562, 0.091140669579891323, 0.091143257822496479, 0.09114595032634093, 0.091148748185914258, 0.091151652535060843, 0.091154664546974476, 0.091157785434173272, 0.091161016448451704, 0.091164358880809329, 0.091167814061348995, 0.091171383359146235, 0.091175068182082639, 0.091178869976642762, 0.091182790227668814, 0.091186830458069232, 0.091190992228479179, 0.091195277136864331, 0.091199686818067671, 0.091204222943289892, 0.091208887219501697, 0.091213681388779486, 0.091218607227559118, 0.091223666545801482, 0.091228861186062091, 0.091234193022458804, 0.091239663959527428, 0.09124527593095913, 0.091251030898209143, 0.091256930848969034, 0.091262977795490696, 0.091269173772754217, 0.091275520836464633, 0.091282021060871257, 0.091288676536392679, 0.091295489367036922, 0.091302461667603127, 0.091309595560649284, 0.091316893173213648, 0.091324356633270889, 0.091331988065910585, 0.091339789589217235, 0.09134776330983832, 0.091355911318217395, 0.091364235683478345, 0.091372738447936752, 0.091381421621220663, 0.091390287173979456, 0.091399337031159322, 0.09140857306482332, 0.091417997086493952, 0.091427610838997073, 0.091437415987781545, 0.091447414111696074, 0.091457606693196233, 0.091467995107963815, 0.091478580613913965, 0.091489364339568516, 0.0915003472717804, 0.091511530242783481, 0.091522913916557841, 0.09153449877449045, 0.091546285100323019, 0.091558272964374118, 0.091570462207033743, 0.091582852421525432, 0.091595442935941546, 0.091608232794560221, 0.091621220738457326, 0.091634405185440554, 0.091647784209328592, 0.091661355518624296, 0.091675116434624435, 0.091689063869029433, 0.091703194301129276, 0.091717503754647822, 0.091731987774353707, 0.091746641402551218, 0.091761459155591737, 0.091776435000558931, 0.091791562332303178, 0.091806833951026734, 0.091822242040635535, 0.09183777814810519, 0.091853433164131859, 0.091869197305364442, 0.091885060098538876, 0.091901010366869568, 0.091917036219071171, 0.091933125041420913, 0.091949263493287609, 0.091965437506588033, 0.091981632289648549, 0.091997832335972571, 0.092014021438433416, 0.092030182709422495, 0.092046298607496177, 0.092062350971062745, 0.092078321059653065, 0.092094189603301208, 0.09210993686055105, 0.092125542685564929, 0.092140986604782954, 0.092186139167032097, 0.092229086294521923, 0.092269285173186666, 0.092306247570574054, 0.092339583246548632, 0.092369048801387535, 0.092394599459449445, 0.092416440539409533, 0.092435075021596744, 0.092451343892096971, 0.092466456938303965, 0.092482013369487387, 0.092500013864404637, 0.092522868119454066, 0.092553404376533435, 0.092594889532890134, 0.092651070254700027, 0.092726247271962672, 0.092825397251822914, 0.092954360160279956, 0.093120116019935723, 0.093331185189581237, 0.093598203424931511, 0.093934751518584186, 0.094358567170741439, 0.094893348438731401, 0.095571501315043758, 0.096438443315825823, 0.097559562736945563, 0.099031891200148062, 0.10100452356245437, 0.10371613451459956, 0.10756800111750683, 0.11327625515018908, 0.12221673184179387, 0.13728799537333611, 0.16533771615555848, 0.22477458138066553, 0.36720969756488803, 0.62236533197479871, 0.53295060893523738, 0.30706638537880393, 0.21139304446599466, 0.17846554224044256, 0.17988117862427472, 0.22901592411437691, 0.43635693846952434, 0.71800716137370657, 0.32939770395407575, 0.1880259054171558, 0.14222564177948233, 0.12249317973870466, 0.11215767282608287, 0.10599735746861519, 0.10198254226189199, 0.099192769860451765, 0.097161194183323654, 0.095630859669431537, 0.094452060424342094, 0.093534916107621047, 0.092826090029921537, 0.092297254415473914, 0.09194011313993336, 0.091766007014968301, 0.09180999911046174, 0.092141111107770568, 0.092883162401915187, 0.094256443197441919, 0.096664233256717649, 0.10088443450509323, 0.10853195002575967, 0.12329940163136967, 0.15472530215222904, 0.23088915232597587, 0.43128393192017755, 0.71053657167332229, 0.53208929439124419, 0.32288208678160552, 0.2268047137326373, 0.18061440227249373, 0.15543489231697138, 0.14021043574405936, 0.1302527537389517, 0.12333761527265763, 0.11830586582538859, 0.11450581942084843, 0.11154788094328003, 0.10918710861971094, 0.10726292209324056, 0.1056662712181482, 0.10432084436239056, 0.10317184413048351, 0.10217903176454461, 0.10131227637329472, 0.10054862561468064, 0.099870329088792509, 0.099263474645190558, 0.098717028635491685, 0.098222148223939543, 0.097771680550715168, 0.09735979252486017, 0.096981693426848231, 0.096633424428977571, 0.096311697019698037, 0.096013767611648676, 0.095737339227445817, 0.095480483661686058, 0.095241579277039551, 0.095019260844370956, 0.094812378738727277, 0.094619965460214089, 0.09444120793291079, 0.094275424395420776, 0.094122044967727969, 0.093980595184885621, 0.09385068194586374, 0.093731981447901513, 0.093624228771801501, 0.093527208858260949, 0.093440748674189861, 0.093364710414606672, 0.093298985622625022, 0.093243490139254676, 0.093198159817718368, 0.093162946954869458, 0.093137817406095919, 0.093122748360531388, 0.093117726761198089, 0.093121074315795943, 0.093131117653882795, 0.093147858873281392, 0.093171301720119906, 0.093201451963353568, 0.093238317918910144, 0.093281911123419728, 0.09333224715764922, 0.093389346620078306, 0.093453236251527474, 0.093523950212398455, 0.093601531514957717, 0.093686033614183428, 0.093777522162023355, 0.093876076931502822, 0.093981793918954989, 0.094094787634784308, 0.09421519359553121, 0.094343171032673992, 0.094478905836495472, 0.094622613756462318, 0.094774543882888793, 0.09493498243808153, 0.095104256908657911, 0.095282740554100895, 0.095470857329712, 0.095669087264674685, 0.095877972337534215, 0.096098122891523849, 0.096330224630070058, 0.096575046227442174, 0.09683344757948531, 0.097106388702735108, 0.097394939264330335, 0.097700288686529607, 0.098023756713507118, 0.098366804248211634, 0.098731044155160055, 0.099118251570278884, 0.099530373047525947, 0.099969533586486026, 0.10043804020387707, 0.10093838020914209, 0.10147321169063842, 0.10204534288339967, 0.10265769604387949, 0.10331325018445017, 0.10401495552961836, 0.10476561090501538, 0.10556769360313709, 0.10642312986746094, 0.10733299348447631, 0.10829712083885988, 0.10931363428758932, 0.11037837332749779, 0.11148424650575632, 0.11262053799626967, 0.11377223205818568, 0.11491945501680199, 0.11603717319020529, 0.11709531647313091, 0.1180595057235958, 0.11889252896336847, 0.11955662073065972, 0.12001644745063419, 0.12024250954287782, 0.12021448641492172, 0.11992394108771508, 0.11937582899599965, 0.1185884441581756, 0.11759174824091542, 0.11642437181759611, 0.11512984170857982, 0.11375269387721276, 0.11233506225481964, 0.11091413786639136, 0.1095206507713507, 0.10817831535300146, 0.10690404190698918, 0.10570866255732672, 0.10459792989558184, 0.10357359499863736, 0.10263443247722973, 0.10177713692203484, 0.10099705923351275, 0.1002887810275867, 0.099646542447764302, 0.099064546526436245, 0.098537164972564303, 0.098059068542079839, 0.097625301815378207, 0.097231318419943369, 0.096872989137207655, 0.096546592219396002, 0.096248792705092401, 0.095976615540485782, 0.095727415814335609, 0.09549884831047846, 0.095288837786830755, 0.095095550829927641, 0.094917369748356045, 0.094752868709314042, 0.094600792153722815, 0.094460035419870553, 0.094329627443799344, 0.094208715372414653, 0.094096550912580013, 0.093992478239237787, 0.093895923293056696, 0.093806384309946284, 0.093723423438820813, 0.093646659318810083, 0.093575760501792407, 0.0935104396201379, 0.093450448212567497, 0.093395572132931398, 0.093345627477421936, 0.093300456975293586, 0.093259926796609008, 0.093223923737945344, 0.09319235275346098, 0.093165134804343699, 0.093142205004491288, 0.09312351104446083, 0.093109011879282472, 0.093098676668804337, 0.093092483961878983, 0.093090421117981104], [0.09483411146437716, 0.094838753775463441, 0.094852691233339545, 0.094875955801558012, 0.094908602061002753, 0.094950709205452649, 0.095002383903788984, 0.095063764102558165, 0.095135023871616223, 0.095216379431427203, 0.095308096545801829, 0.09541049952175433, 0.095523982133310828, 0.095649020884675015, 0.095786191158749451, 0.095936186971781662, 0.096099845291204702, 0.09627817619663849, 0.096472400610333436, 0.096683997947820538, 0.096914766924715748, 0.097166904028210002, 0.097443106019113879, 0.09774670558615807, 0.098081853436697897, 0.098453766518831518, 0.098869072157043603, 0.099336294133361508, 0.099866553616957732, 0.10047460359308773, 0.1011803959195747, 0.10201152705095462, 0.10300718823479751, 0.10422480533032694, 0.10575173706815037, 0.10772707931768538, 0.11038519447044337, 0.1141503831588814, 0.11986671176830978, 0.12944393980899321, 0.14808557039795894, 0.19469810147831987, 0.3752466792993695, 0.59395257058499196, 0.16519947924577821, 0.10478823668958435, 0.092802006460036834, 0.089724989354328821, 0.089048630065013512, 0.089158215984333489, 0.089546137934417236, 0.090028764415835058, 0.090534335448665876, 0.091034206344186575, 0.091517560780135093, 0.0919812199876648, 0.092425250618246704, 0.092850976116281042, 0.093260042821423722, 0.093653968378578159, 0.094033916887977992, 0.094400582716469214, 0.094754127889856515, 0.095094148437629616, 0.09541966065209459, 0.095729106680575701, 0.096020383570215681, 0.09629090218913372, 0.096537682737766084, 0.096757491788833611, 0.096947021836561287, 0.097103108324250065, 0.097222971687467408, 0.097304464368779542, 0.097346296840710764, 0.097348214378201847, 0.097311099130140855, 0.097236980284716099, 0.097128947605971891, 0.096990977758448338, 0.096827695398637711, 0.096644099150167445, 0.096445284750812876, 0.096236194018650009, 0.096021410435623483, 0.095805012433556033, 0.095590486162542718, 0.095380692233766759, 0.09517787637948262, 0.09498371209898418, 0.094799363596602279, 0.09462555890980176, 0.094462665358387862, 0.094310761774906285, 0.094169704059469117, 0.094039182275276342, 0.093918768727836735, 0.093807957291732455, 0.093706194739775081, 0.093612905074529781, 0.093527507937858509, 0.093449432142458252, 0.093378125276764951, 0.093313060213489826, 0.093253739223542673, 0.093199696273813359, 0.093150497976044536, 0.093105743557646392, 0.093065064144297396, 0.093028121577602291, 0.092994606937383234, 0.092964238895517845, 0.09293676199479603, 0.092911944920366196, 0.09288957881150875, 0.09286947564646468, 0.092851466721834072, 0.092835401239783941, 0.092821145010318643, 0.092808579271616315, 0.092797599628512195, 0.092788115107285615, 0.092780047323738152, 0.092773329760925796, 0.092767907152706996, 0.092763734969356554, 0.09276077900180392, 0.092759015041518109, 0.092758428653628891, 0.092758522407991956, 0.092758803779985216, 0.092759273096484282, 0.092759930902823598, 0.092760777963612748, 0.09276181526387986, 0.092763044010548412, 0.092764465634248686, 0.092766081791469626, 0.092767894367056639, 0.092769905477061043, 0.092772117471948509, 0.092774532940176138, 0.092777154712142582, 0.092779985864528916, 0.092783029725032523, 0.092786289877513042, 0.092789770167558724, 0.092793474708489768, 0.092797407887812988, 0.092801574374142076, 0.092805979124605698, 0.092810627392756112, 0.092815524737002067, 0.092820677029585352, 0.092826090466124264, 0.092831771575745875, 0.092837727231833742, 0.092843964663417822, 0.092850491467231649, 0.092857315620469782, 0.092864445494273751, 0.092871889867979979, 0.092879657944163738, 0.092887759364513961, 0.09289620422657785, 0.092905003101412559, 0.092914167052186081, 0.092923707653767396, 0.09293363701335372, 0.092943967792177382, 0.09295471322834066, 0.092965887160828764, 0.092977504054750748, 0.092989579027860925, 0.09300212787841533, 0.093015167114417208, 0.093028713984310618, 0.09304278650917723, 0.093057403516498299, 0.093072584675541178, 0.093088350534431097, 0.093104722558972008, 0.093121723173277451, 0.09313937580227824, 0.093157704916169204, 0.093176736076862263, 0.093196495986512473, 0.09321701253818436, 0.093238314868730132, 0.093260433413952862, 0.093283399966132954, 0.093307247733998955, 0.093332011405237766, 0.093357727211646119, 0.093384432997041439, 0.093412168288075928, 0.093440974368119087, 0.093470894354421408, 0.093501973278813141, 0.093534258172267098, 0.093567798153736323, 0.093602644523789635, 0.093638850863719966, 0.093676473140976282, 0.093715569822019423, 0.093756201993999672, 0.09379843349704213, 0.093842331069417056, 0.093887964508489921, 0.093935406851122116, 0.093984734578180407, 0.094036027849035322, 0.094089370773475303, 0.094144851730388557, 0.094202563744974335, 0.094262604939249151, 0.094325079074364104, 0.094390096207911903, 0.094457773495211714, 0.094528236170790619, 0.09460161875525594, 0.094678066543929768, 0.094757737447484003, 0.094840804272062026, 0.094927457547771543, 0.095017909041023321, 0.095112396119145709, 0.095211187176573606, 0.09531458838242135, 0.095422952071557959, 0.095536687177716184, 0.09565627220020774, 0.095782271307714689, 0.095915354314557263, 0.096056321415563681, 0.096206133728309967, 0.09636595084847431, 0.096537176736872954, 0.096721515248224033, 0.096921036334195992, 0.097138253132736135, 0.09737620829593692, 0.097638564132591463, 0.097929683940147033, 0.098254678776881849, 0.098619370992868091, 0.099030087697349375, 0.099493138241819684, 0.10001374870368814, 0.10059414130063288, 0.10123042624891004, 0.10190818583187049, 0.10259736418882182, 0.10324857370891956, 0.10379477325259093, 0.10416251731989568, 0.10429272339096891, 0.10416251731989574, 0.10379477325259093, 0.10324857370891903, 0.10259736418882162, 0.1019081858318705, 0.10123042624890849, 0.10059414130063334, 0.1000137487036885, 0.099493138241820378, 0.099030087697350139, 0.0986193709928678, 0.098254678776881321, 0.097929683940146922, 0.097638564132591615, 0.097376208295936934, 0.097138253132736441, 0.09692103633419577, 0.09672151524822338, 0.096537176736873315, 0.096365950848474616, 0.096206133728309842, 0.096056321415563847, 0.095915354314557152, 0.095782271307714731, 0.095656272200207795, 0.095536687177716031, 0.095422952071558056, 0.095314588382421336, 0.095211187176573522, 0.095112396119146, 0.095017909041023266, 0.094927457547771599, 0.094840804272062124, 0.094757737447484156, 0.094678066543929754, 0.094601618755255815, 0.094528236170790564, 0.094457773495211728, 0.094390096207911889, 0.094325079074364215, 0.094262604939249234, 0.09420256374497421, 0.094144851730388696, 0.094089370773475331, 0.094036027849035184, 0.093984734578180393, 0.0939354068511222, 0.093887964508489949, 0.093842331069417084, 0.093798433497042227, 0.093756201993999741, 0.093715569822019257, 0.093676473140976213, 0.093638850863720008, 0.093602644523789622, 0.093567798153736226, 0.093534258172267196, 0.093501973278813155, 0.093470894354421283, 0.093440974368118976, 0.093412168288075775, 0.093384432997041467, 0.093357727211646105, 0.093332011405237864, 0.093307247733998969, 0.093283399966132996, 0.093260433413952848, 0.093238314868730049, 0.093217012538184263, 0.09319649598651257, 0.093176736076862263, 0.093157704916169121, 0.09313937580227824, 0.093121723173277521, 0.093104722558972161, 0.093088350534431097, 0.093072584675541151, 0.093057403516498285, 0.093042786509177133, 0.093028713984310632, 0.093015167114417319, 0.093002127878415261, 0.092989579027860869, 0.092977504054750693, 0.092965887160828778, 0.092954713228340674, 0.092943967792177423, 0.092933637013353679, 0.092923707653767298, 0.092914167052186067, 0.092905003101412614, 0.092896204226577864, 0.092887759364513878, 0.092879657944163752, 0.092871889867980062, 0.09286444549427382, 0.092857315620469671, 0.092850491467231622, 0.092843964663417697, 0.092837727231833755, 0.092831771575745903, 0.092826090466124264, 0.092820677029585297, 0.092815524737001998, 0.092810627392756057, 0.092805979124605642, 0.092801574374142187, 0.092797407887812933, 0.092793474708489851, 0.092789770167558794, 0.092786289877513056, 0.092783029725032481, 0.092779985864528972, 0.092777154712142748, 0.092774532940176097, 0.09277211747194862, 0.092769905477061015, 0.092767894367056597, 0.092766081791469668, 0.092764465634248658, 0.092763044010548384, 0.092761815263879888, 0.092760777963612678, 0.092759930902823667, 0.092759273096484365, 0.092758803779985313, 0.09275852240799197, 0.092758428653628752, 0.092758475527904991, 0.092758616170310962, 0.092758850639583335, 0.092759179033628958, 0.092759601489544735, 0.092760118183645157, 0.092760729331495609, 0.092761435187954905, 0.092762236047223945, 0.092763132242900795, 0.092764124148042915, 0.092765212175234119, 0.09276639677665903, 0.092767678444179685, 0.092769057709419345, 0.092770535143848143, 0.092772111358873033, 0.092773787005928948, 0.092775562776573034, 0.092777439402576711, 0.092779417656021074, 0.092781498349387509, 0.09278368233564703, 0.09278597050834593, 0.092788363801685758, 0.092790863190596443, 0.092793469690801059, 0.092796184358871436, 0.092799008292270738, 0.092801942629382531, 0.092804988549524778, 0.092808147272944702, 0.092811420060793348, 0.092814808215076733, 0.092818313078581974, 0.092821936034773067, 0.092825678507655843, 0.092829541961606032, 0.092833527901159646, 0.092837637870759868, 0.092841873454455201, 0.092846236275549415, 0.092850727996191609, 0.092855350316907781, 0.09286010497606377, 0.092864993749257524, 0.092870018448632283, 0.092875180922105144, 0.092880483052504292, 0.092885926756606729, 0.092891513984071417, 0.092897246716255683, 0.09290312696491014, 0.092909156770740381, 0.092915338201827541, 0.092921673351895773, 0.092928164338418648, 0.092934813300548799, 0.092941622396864002, 0.092948593802913176, 0.09295572970855058, 0.092963032315044769, 0.092970503831946022, 0.092978146473699813, 0.092985962455986781, 0.09299395399177604, 0.093002123287071539, 0.093010472536336042, 0.093019003917571008, 0.093027719587036303, 0.093036621673586548, 0.093045712272605108, 0.09305499343951458, 0.093064467182841032, 0.09307413545681037, 0.093084000153453736, 0.093094063094200388, 0.093104326020932937, 0.093114790586483934, 0.093125458344549578, 0.09313633073899942, 0.0931474090925591, 0.09315869459484423, 0.093170188289729367, 0.093181891062027608, 0.093193803623470114, 0.093205926497966371, 0.093218260006137144, 0.093230804249107485, 0.093243559091560207, 0.093256524144043201, 0.093269698744540719, 0.093283081939315754, 0.093296672463040339, 0.093310468718242195, 0.093324468754093282, 0.093338670244591915, 0.093353070466183838, 0.093367666274889696, 0.093382454083018901, 0.093397429835556142, 0.093412588986335074, 0.093427926474115811, 0.093443436698716006, 0.093459113497352059, 0.093474950121376119, 0.093490939213616855, 0.09350707278654867, 0.093523342201546664, 0.093539738149507334, 0.093556250633143129, 0.09357286895128146, 0.093589581685536244, 0.093606376689737203, 0.093623241082539929, 0.093640161243656594, 0.093657122814181717, 0.093674110701504429, 0.093691109089323849, 0.09370810145329872, 0.093725070582878212, 0.093741998609869592, 0.09375886704429863, 0.093775656818118946, 0.093792348337308887, 0.093808921542883381, 0.093825355981307215, 0.093841630884765881, 0.093889287968530299, 0.093934752540084682, 0.093977478707432879, 0.094016979555250638, 0.094052872190186765, 0.094084928410234775, 0.094113128462961756, 0.094137714615503243, 0.094159240938969394, 0.094178616017140504, 0.094197136342156401, 0.094216509937347898, 0.094238872076901625, 0.094266797571853134, 0.094303316663786704, 0.094351943915308212, 0.094416731624542644, 0.094502361519777714, 0.094614291436892692, 0.094758978342784531, 0.094944206918359919, 0.095179566187002712, 0.095477138955597077, 0.095852506265735063, 0.096326232696296671, 0.09692610898398682, 0.09769062652570612, 0.09867452603624044, 0.099957974173711772, 0.10166236606623787, 0.10397884791948049, 0.10722272868283091, 0.11194436682522795, 0.11917394008725973, 0.1310171362643936, 0.1522876351289662, 0.19562408152870492, 0.29875422710036997, 0.54171135229304257, 0.60158295256804295, 0.32725920427512434, 0.2014333692683378, 0.1551544322167282, 0.13892464044070105, 0.14053847544304007, 0.16807458049054866, 0.28296956451767219, 0.7012488758651747, 0.44358472388509557, 0.21839301728649446, 0.15415633904010323, 0.12896778987828944, 0.11648722423472201, 0.1093029330533167, 0.10472707102648915, 0.10159582419190913, 0.099337476601807653, 0.09764410770227909, 0.096338507019572417, 0.095314266471177411, 0.094506726521981083, 0.093878357965601678, 0.093411724107968275, 0.09310717478529984, 0.092984456317285274, 0.09308892704445787, 0.093504966116214075, 0.094382688028780054, 0.095991968246271875, 0.098837477081878414, 0.10392248799971655, 0.11341407283721307, 0.13252707240082898, 0.17559631947982821, 0.28686110433981593, 0.56294904873858531, 0.69292175659422195, 0.43139425173837315, 0.2756566075152857, 0.20550226790501483, 0.17008672129190769, 0.1499037441496022, 0.13727184808981654, 0.12878690456906772, 0.12276990447380447, 0.11831743475908384, 0.1149081591627218, 0.11222362867114112, 0.11006000138812889, 0.10828159609847945, 0.10679506766131384, 0.10553435870476764, 0.10445157073430976, 0.10351122976684478, 0.10268657286957598, 0.10195707802057781, 0.10130678143970451, 0.10072310672739408, 0.10019603443037949, 0.099717502802285737, 0.099280968557676472, 0.098881080252721631, 0.098513432191309189, 0.098174376728542997, 0.097860879478586724, 0.097570406422492581, 0.097300834995700289, 0.097050383384513245, 0.096817553779433074, 0.096601086419623672, 0.096399922049301076, 0.096213170982724208, 0.096040087400741964, 0.095880047820664005, 0.095732532922052777, 0.095597112094707046, 0.095473430216447469, 0.095361196277963842, 0.095260173557698072, 0.095170171117060651, 0.095091036439445789, 0.095022649078498916, 0.094964915214243495, 0.094917763041746456, 0.094881138937307527, 0.09485500436287507, 0.094839333481339286, 0.09483411146437716, 0.094837592615710412, 0.094848036951284936, 0.094865447196198632, 0.094889828160181253, 0.094921187139474811, 0.094959534479575988, 0.095004884299113218, 0.095057255375402883, 0.095116672192676818, 0.095183166154601498, 0.09525677696353832, 0.095337554170082689, 0.095425558897757057, 0.095520865749363235, 0.09562356490343854, 0.095733764411507008, 0.095851592709439007, 0.095977201359157258, 0.096110768040258754, 0.09625249981479056, 0.096402636692447308, 0.096561455527843648, 0.096729274286180056, 0.096906456718564335, 0.097093417493305537, 0.097290627834552321, 0.097498621724464107, 0.097718002729302617, 0.09794945151293584, 0.098193734102519969, 0.098451710969523265, 0.09872434698334763, 0.099012722282545707, 0.099318044087204252, 0.099641659441655719, 0.099985068823948836, 0.10034994048034479, 0.10073812522990416, 0.10115167132313369, 0.10159283871287939, 0.10206411178325653, 0.10256820915555223, 0.10310808861410622, 0.10368694442864318, 0.10430819334520425, 0.10497544422664579, 0.1056924447029402, 0.1064629962211414, 0.10729082659453112, 0.10817940666512395, 0.10913169530126135, 0.1101497951989366, 0.11123450176727433, 0.11238473018605839, 0.11359681354656324, 0.11486368037585759, 0.11617394551124445, 0.11751098621103449, 0.11885212516450111, 0.12016809855051847, 0.12142303798950693, 0.12257521885115941, 0.12357879595851015, 0.12438663482275092, 0.12495414215991479, 0.12524372758666802, 0.12522925690412773, 0.12489968706405029, 0.12426110012792108, 0.12333661804741289, 0.12216412798782951, 0.12079223967507993, 0.11927526514322953, 0.11766814126060143, 0.11602209149769172, 0.1143815259752466, 0.11278233254119285, 0.11125142514481867, 0.10980724565542388, 0.1084608636151599, 0.10721735294750934, 0.10607720325716825, 0.10503761111460724, 0.10409357238769709, 0.1032387517327658, 0.10246613973140026, 0.10176852593453416, 0.10113882239403273, 0.10057027168734287, 0.10005656936206629, 0.099591925355773631, 0.099171083557659537, 0.098789313902294576, 0.098442387451580141, 0.098126541837812803, 0.097838442112052379, 0.097575140334203878, 0.097334036020089207, 0.097112838707938381, 0.096909533325074362, 0.096722348649294021, 0.096549728911161425, 0.096390308430857108, 0.09624288909577193, 0.096106420440986481, 0.095979982078911175, 0.095862768226194842, 0.095754074088402724, 0.095653283881171017, 0.095559860287432991, 0.095473335171910936, 0.0953933013951513, 0.095319405589245704, 0.095251341775668408, 0.095188845722198781, 0.095131689950695111, 0.095079679320579563, 0.095032647124416489, 0.094990451642025076, 0.094952973108316047, 0.094920111057603007, 0.094891782013662995, 0.094867917500398094, 0.094848462352748311, 0.094833373311576014, 0.09482261788973298, 0.094816173499520123, 0.094814026834325896], [0.096652684930827723, 0.0966575196438164, 0.096672035105922441, 0.096696265704030851, 0.096730270151358433, 0.096774133626391173, 0.096827970842455605, 0.096891930128833376, 0.0969661986362476, 0.09705100881904459, 0.097146646396291406, 0.097253460058027319, 0.097371873266183975, 0.097502398609162516, 0.09764565531445682, 0.097802390718812096, 0.097973506759962789, 0.098160092916612901, 0.098363467526213971, 0.098585230116252712, 0.098827328389578584, 0.099092144954871383, 0.099382611020005437, 0.099702357436917438, 0.10005591830145177, 0.10044900977070066, 0.1008889185722564, 0.10138505384381583, 0.10194974788272704, 0.1025994462483527, 0.10335652514062045, 0.10425215396025229, 0.10533096818898599, 0.10665902253431707, 0.10833801248011529, 0.11053226171553403, 0.11352380639402024, 0.1178356090134421, 0.12454187556645291, 0.13618511784260778, 0.16017699174423972, 0.22649312949800487, 0.51331073042976461, 0.40145244384040496, 0.13847628676982482, 0.10137751625179917, 0.093157884731516649, 0.09102956703044944, 0.090662452956188522, 0.09089114562067005, 0.091331324675111042, 0.09184010231148966, 0.092361020494094948, 0.092871726939170521, 0.093364164951473316, 0.093836419524110329, 0.094289148812909909, 0.094723950351787115, 0.09514258715164961, 0.095546610102950943, 0.095937167194369843, 0.096314902066147651, 0.096679896514194119, 0.097031637174045879, 0.097369000025307642, 0.097690253852530134, 0.09799308810254731, 0.098274672721897063, 0.098531757730203562, 0.09876081830166164, 0.098958246777000117, 0.099120586398821708, 0.099244793319346186, 0.099328504967005946, 0.099370286199501959, 0.099369822026360688, 0.099328028734338908, 0.099247064384113681, 0.099130233521454905, 0.098981796651712847, 0.098806708921805056, 0.098610321354468594, 0.098398080191862664, 0.098175255660256686, 0.097946722614440179, 0.097716804710080193, 0.097489183515136829, 0.09726686606335086, 0.097052199522966232, 0.096846919780531865, 0.096652221160466179, 0.096468836361289834, 0.096297118199456133, 0.096137117320749657, 0.095988652305379826, 0.095851370390375265, 0.095724798333888125, 0.095608383803159475, 0.095501528169298217, 0.095403611831707841, 0.095314013256843633, 0.095232122867145511, 0.095157352805995035, 0.095089143467513987, 0.095026967537811535, 0.094970332159720172, 0.094918779712825585, 0.09487188759721929, 0.094829267323075866, 0.094790563137611611, 0.09475545036437287, 0.09472363358504178, 0.094694844759021526, 0.094668841349136432, 0.094645404501259855, 0.09462433731022897, 0.094605463192918141, 0.094588624380920333, 0.094573680539232818, 0.094560507513087866, 0.094548996202174884, 0.094539051559631285, 0.094530591712076603, 0.094523547196417174, 0.094517860309023455, 0.094513484563053668, 0.09451038425007964, 0.094508534102715994, 0.094507919055590472, 0.094508017532242652, 0.094508313076817549, 0.094508806033343926, 0.094509496975780038, 0.094510386708883412, 0.094511476269428324, 0.094512766927779462, 0.094514260189821467, 0.09451595779925176, 0.094517861740242196, 0.094519974240476048, 0.094522297774567596, 0.094524835067875693, 0.094527589100715972, 0.094530563112990351, 0.094533760609236864, 0.094537185364120868, 0.094540841428375738, 0.094544733135212666, 0.094548865107213692, 0.094553242263724829, 0.094557869828773386, 0.094562753339522937, 0.094567898655292748, 0.094573311967163121, 0.094578999808191136, 0.094584969064263266, 0.094591226985611815, 0.094597781199027134, 0.094604639720792486, 0.094611810970378421, 0.094619303784928679, 0.094627127434575103, 0.094635291638620223, 0.094643806582626167, 0.094652682936455207, 0.094661931873303851, 0.094671565089778489, 0.094681594827059845, 0.094692033893210348, 0.09470289568667481, 0.094714194221031001, 0.094725944151049166, 0.094738160800119778, 0.094750860189112926, 0.094764059066735379, 0.09477777494145144, 0.094792026115040645, 0.0948068317178625, 0.094822211745905716, 0.094838187099700363, 0.094854779625172553, 0.094872012156526769, 0.094889908561241493, 0.09490849378727037, 0.094927793912540026, 0.094947836196844757, 0.094968649136239147, 0.094990262520035923, 0.095012707490525497, 0.095036016605538148, 0.095060223903983457, 0.095085364974509548, 0.095111477027447169, 0.09513859897021977, 0.095166771486425827, 0.095196037118841212, 0.095226440356620257, 0.095258027727042574, 0.095290847892211192, 0.095324951751206477, 0.095360392548308831, 0.095397225988049172, 0.095435510358034506, 0.095475306660719586, 0.095516678755598508, 0.095559693513654523, 0.095604420986372313, 0.095650934592205014, 0.095699311324118991, 0.095749631982757155, 0.09580198144091609, 0.095856448946462475, 0.095913128472611159, 0.095972119126721225, 0.096033525631553054, 0.096097458896396995, 0.096164036699805749, 0.096233384511029654, 0.096305636483934226, 0.096380936665490385, 0.096459440471241067, 0.096541316492995605, 0.096626748719945615, 0.09671593927424034, 0.096809111786705496, 0.096906515569043547, 0.09700843077691243, 0.097115174805545157, 0.097227110218117183, 0.097344654579441914, 0.097468292656578678, 0.097598591556637623, 0.09773621950331135, 0.097881969109160319, 0.098036786179533597, 0.098201805279032578, 0.098378393483375362, 0.098568203885415026, 0.098773240436706364, 0.098995935417272002, 0.099239239921943806, 0.099506725660079606, 0.099802692070125182, 0.10013226449296871, 0.10050145399925299, 0.10091712282884681, 0.10138675480306412, 0.10191786041588083, 0.10251674964156932, 0.1031863017335104, 0.10392232961196225, 0.10470837480709838, 0.10550962441668235, 0.10626841925963275, 0.10690605567754971, 0.10733595779960238, 0.10748828466580151, 0.10733595779960257, 0.10690605567754977, 0.10626841925963212, 0.10550962441668214, 0.10470837480709834, 0.10392232961196052, 0.10318630173351101, 0.10251674964156973, 0.10191786041588161, 0.10138675480306497, 0.10091712282884648, 0.10050145399925239, 0.10013226449296858, 0.099802692070125265, 0.099506725660079648, 0.099239239921944153, 0.098995935417271766, 0.098773240436705698, 0.098568203885415401, 0.098378393483375723, 0.098201805279032439, 0.098036786179533722, 0.09788196910916018, 0.097736219503311406, 0.097598591556637665, 0.09746829265657854, 0.097344654579442053, 0.097227110218117127, 0.097115174805545143, 0.097008430776912735, 0.096906515569043492, 0.09680911178670551, 0.096715939274240423, 0.096626748719945768, 0.096541316492995577, 0.096459440471240929, 0.09638093666549033, 0.096305636483934282, 0.096233384511029599, 0.09616403669980586, 0.09609745889639712, 0.096033525631552902, 0.095972119126721323, 0.095913128472611173, 0.095856448946462336, 0.095801981440916062, 0.095749631982757155, 0.095699311324119019, 0.095650934592205028, 0.095604420986372396, 0.095559693513654592, 0.095516678755598397, 0.095475306660719475, 0.095435510358034548, 0.095397225988049131, 0.095360392548308748, 0.09532495175120656, 0.095290847892211206, 0.095258027727042435, 0.095226440356620132, 0.095196037118841101, 0.095166771486425827, 0.09513859897021977, 0.095111477027447322, 0.095085364974509548, 0.095060223903983498, 0.095036016605538134, 0.095012707490525442, 0.094990262520035826, 0.094968649136239217, 0.094947836196844784, 0.094927793912539915, 0.094908493787270343, 0.094889908561241562, 0.094872012156526908, 0.094854779625172539, 0.09483818709970035, 0.094822211745905674, 0.094806831717862375, 0.094792026115040673, 0.094777774941451551, 0.094764059066735323, 0.094750860189112884, 0.094738160800119708, 0.094725944151049193, 0.094714194221031042, 0.094702895686674851, 0.094692033893210292, 0.094681594827059762, 0.094671565089778503, 0.09466193187330392, 0.094652682936455221, 0.094643806582626083, 0.094635291638620236, 0.094627127434575201, 0.094619303784928763, 0.094611810970378324, 0.09460463972079243, 0.094597781199026995, 0.094591226985611773, 0.09458496906426328, 0.094578999808191191, 0.094573311967163051, 0.094567898655292706, 0.09456275333952284, 0.094557869828773344, 0.094553242263724913, 0.094548865107213609, 0.094544733135212791, 0.094540841428375835, 0.094537185364120896, 0.094533760609236836, 0.094530563112990407, 0.094527589100716167, 0.094524835067875665, 0.094522297774567707, 0.094519974240476048, 0.094517861740242182, 0.094515957799251774, 0.094514260189821397, 0.094512766927779449, 0.094511476269428352, 0.094510386708883315, 0.094509496975780122, 0.094508806033343953, 0.094508313076817632, 0.09450801753224268, 0.09450791905559032, 0.094507968290840558, 0.094508116016978422, 0.094508362295170276, 0.094508707227372674, 0.094509150956353635, 0.094509693665720609, 0.094510335579955612, 0.09451107696445897, 0.094511918125600516, 0.094512859410776126, 0.094513901208473056, 0.094515043948339206, 0.094516288101260559, 0.094517634179441187, 0.094519082736489832, 0.094520634367509251, 0.094522289709190063, 0.094524049439904986, 0.094525914279807069, 0.094527884990925737, 0.094529962377265603, 0.094532147284901058, 0.094534440602069086, 0.094536843259258499, 0.094539356229292937, 0.094541980527407823, 0.094544717211316631, 0.094547567381270251, 0.094550532180100511, 0.09455361279325121, 0.094556810448792758, 0.094560126417417359, 0.094563562012413033, 0.094567118589613197, 0.094570797547320715, 0.094574600326199937, 0.094578528409137386, 0.094582583321063729, 0.09458676662873694, 0.094591079940480105, 0.094595524905869519, 0.094600103215371628, 0.094604816599918928, 0.094609666830424738, 0.094614655717227131, 0.094619785109459412, 0.094625056894339227, 0.094630472996369175, 0.094636035376443536, 0.094641746030852167, 0.094647606990175007, 0.094653620318057199, 0.094659788109857451, 0.09466611249115886, 0.094672595616133906, 0.094679239665750911, 0.094686046845813804, 0.094693019384819402, 0.094700159531624611, 0.094707469552906959, 0.09471495173040631, 0.094722608357933641, 0.094730441738130403, 0.094738454178965634, 0.094746647989950625, 0.094755025478057628, 0.094763588943321625, 0.094772340674109876, 0.094781282942036055, 0.09479041799650309, 0.094799748058851163, 0.094809275316090416, 0.094819001914197593, 0.094828929950953517, 0.09483906146829818, 0.094849398444180874, 0.094859942783883364, 0.094870696310789815, 0.094881660756582914, 0.094892837750840814, 0.094904228810014576, 0.094915835325761477, 0.094927658552614022, 0.094939699594966453, 0.094951959393356183, 0.094964438710028534, 0.094977138113766291, 0.09499005796397661, 0.09500319839402302, 0.095016559293803718, 0.095030140291571349, 0.095043940735004356, 0.095057959671540071, 0.095072195827987316, 0.095086647589449222, 0.095101312977584757, 0.095116189628263528, 0.095131274768662288, 0.095146565193874766, 0.095162057243118645, 0.095177746775632108, 0.095193629146377579, 0.095209699181678056, 0.095225951154939925, 0.095242378762627922, 0.095258975100684956, 0.095275732641613167, 0.095292643212451303, 0.09530969797391485, 0.095326887400990115, 0.095344201265301673, 0.095361628619596309, 0.095379157784724486, 0.095396776339517653, 0.095414471113998978, 0.095432228186381904, 0.095450032884345948, 0.095467869791097199, 0.095485722756744468, 0.09550357491554004, 0.095521408709545355, 0.095539205919294948, 0.095556947702027717, 0.095574614638057678, 0.095592186785835781, 0.095609643746242826, 0.095626964736611114, 0.095644128674942097, 0.095694464935877618, 0.095742622126133367, 0.095788051234922983, 0.095830267061153329, 0.095868895056074641, 0.095903724000580851, 0.095934761947022135, 0.095962292119458031, 0.095986925168688356, 0.096009644528807767, 0.096031842741001128, 0.096055348478597882, 0.096082446455103512, 0.096115895148311786, 0.096158950043818386, 0.096215402719598511, 0.096289648619596796, 0.096386799175128407, 0.096512857783453559, 0.096674985256481563, 0.096881890559611578, 0.097144399867858347, 0.097476285973943907, 0.097895489318793244, 0.098425946903461611, 0.099100395881933853, 0.09996479426493525, 0.10108552610461131, 0.10256160492184191, 0.10454628757499174, 0.10728742019268246, 0.11120761392102867, 0.11707609179227878, 0.12641284224334348, 0.14255482412289552, 0.17388969912071103, 0.24513387399232336, 0.43072589254012855, 0.65736911901094464, 0.38700040403940927, 0.21177819987240368, 0.15060684843247568, 0.12687599626886348, 0.11822202469382721, 0.11957554564964117, 0.13595085683432059, 0.2000063098697889, 0.50035311615893707, 0.60956627909646688, 0.26286523427840786, 0.16954997254482074, 0.13672838175784885, 0.12146662342912043, 0.11301707296709429, 0.10777063895312189, 0.1042417692111015, 0.10172566754814492, 0.099851821307900573, 0.098410290346807761, 0.097275756439553926, 0.096371338304811732, 0.095650385378902164, 0.09508729174707721, 0.094673498731883146, 0.094417230179601366, 0.094346953530404731, 0.094519991657480346, 0.095039991561829004, 0.096091686568900533, 0.098012576733498308, 0.10145028885570401, 0.10773810964743839, 0.11989020657969988, 0.14559383781475324, 0.2074205961918075, 0.37531597695720187, 0.69243111639042265, 0.59009413772424379, 0.35204718956892644, 0.2412200942059553, 0.18953614687709747, 0.16203737670609247, 0.14568781329403013, 0.13511825075594852, 0.12783854364384964, 0.12257298888764703, 0.11861368930993649, 0.11554172301079989, 0.11309581922079384, 0.11110579650486527, 0.10945669281484875, 0.10806840966265029, 0.10688364007665127, 0.10586043249145813, 0.10496745676558925, 0.10418090208644543, 0.10348239167881408, 0.10285754884434629, 0.10229499064616716, 0.10178560865637738, 0.10132204628130158, 0.10089831315445187, 0.10050949668421455, 0.1001515435037412, 0.099821091907680418, 0.099515341947828975, 0.099231953665628966, 0.09896896657096646, 0.098724735321920748, 0.098497877871004599, 0.098287233286304287, 0.098091827142042606, 0.097910842878001614, 0.097743597902765808, 0.097589523497917302, 0.097448147794419099, 0.097319081256388412, 0.097202004234080139, 0.097096656246458954, 0.097002826730852781, 0.096920347057877332, 0.096849083657621168, 0.096788932140763242, 0.096739812327890431, 0.096701664123361744, 0.096674444187956426, 0.096658123378220481, 0.096652684930827723, 0.096656310352774874, 0.096667187727362602, 0.096685320467184033, 0.096710714547777327, 0.096743378939647656, 0.096783326213550874, 0.096830573319673721, 0.09688514254174635, 0.096947062627725886, 0.09701637009949253, 0.097093110745042899, 0.097177341297998279, 0.097269131310882648, 0.097368565230597837, 0.09747574468687828, 0.097590791007236111, 0.097713847975103046, 0.097845084851470671, 0.097984699684456902, 0.098132922935825248, 0.098290021458613777, 0.098456302865706835, 0.098632120335371748, 0.098817877906517929, 0.09901403632359769, 0.099221119498599061, 0.099439721665299102, 0.099670515308535365, 0.099914259958298626, 0.10017181194427881, 0.10044413521010645, 0.10073231328651448, 0.10103756251692556, 0.10136124661460533, 0.10170489260344398, 0.10207020814879686, 0.1024591002126865, 0.10287369485805728, 0.10331635786464542, 0.1037897155842422, 0.10429667512870047, 0.10484044251464422, 0.1054245367390271, 0.10605279687251221, 0.1067293780645529, 0.10745873077723653, 0.10824555552458755, 0.1090947228248095, 0.11001114495456436, 0.11099958250619181, 0.11206436495682784, 0.11320900104718963, 0.114435652820537, 0.11574444848614961, 0.11713261655615492, 0.11859344063522324, 0.12011506513659004, 0.1216792309524402, 0.12326008799765013, 0.12482331367455697, 0.12632584720205037, 0.12771660002118976, 0.12893848020661219, 0.12993193027630742, 0.13063989998785575, 0.13101378539300967, 0.1310194587183818, 0.13064224364107371, 0.12988971024214532, 0.12879154157515452, 0.12739637987503954, 0.12576627899022341, 0.12396991343189981, 0.12207585154027886, 0.12014698145679517, 0.11823672074371301, 0.11638713836709468, 0.11462872859193991, 0.11298136986407509, 0.11145596558974598, 0.11005634029067896, 0.10878108957926401, 0.1076252077419682, 0.10658141687545393, 0.10564118914200624, 0.10479549216312731, 0.10403530445842893, 0.10335195099773396, 0.1027373046249143, 0.10218389160559024, 0.10168493140767652, 0.10123433336911659, 0.10082666668158073, 0.10045711521898494, 0.10012142504382117, 0.09981584972763026, 0.099537096708538539, 0.099282276585373849, 0.099048856355745105, 0.098834617020910509, 0.098637615610499815, 0.098456151457392671, 0.09828873642886031, 0.098134068760460602, 0.097991010120673308, 0.097858565540945228, 0.097735865867030994, 0.09762215241628476, 0.097516763557444819, 0.097419122961655322, 0.097328729304391418, 0.097245147226674503, 0.097167999390083137, 0.097096959483455564, 0.097031746059894022, 0.096972117100879662, 0.0969178652201899, 0.096868813434106721, 0.09682481143633187, 0.096785732326299487, 0.096751469748394048, 0.096721935407135071, 0.096697056929812009, 0.096676776053550004, 0.096661047118426699, 0.096649835852230845, 0.096643118435843389, 0.096640880841133869], [0.098478181297618358, 0.098483214866747673, 0.098498327744812403, 0.098523556890976985, 0.098558965405465895, 0.098604644821810403, 0.098660718398297306, 0.098727345497389721, 0.098804727176992402, 0.098893113160932827, 0.098992810411088261, 0.099104193594360679, 0.099227717829967643, 0.099363934224087555, 0.099513508860773023, 0.099677246135847664, 0.099856117616694162, 0.10005129801811631, 0.10026421045118045, 0.10049658390062982, 0.10075052702740567, 0.10102862404686498, 0.10133406086940382, 0.10167079334059559, 0.10204377499124812, 0.10245927039342942, 0.10292529406359097, 0.10345223748096267, 0.10405378481012591, 0.10474828382058672, 0.10556085680657647, 0.10652675733276705, 0.10769691084641253, 0.10914746841231221, 0.11099715852656686, 0.11344084427406087, 0.11681964873594458, 0.12178260203970853, 0.12971027698260232, 0.14403763479516168, 0.1755707978909152, 0.27350651265492437, 0.67139076733668912, 0.2704177723648104, 0.12340097929585503, 0.09960083169647882, 0.093891643211567663, 0.092454373731573281, 0.092325191054012434, 0.092649192573032585, 0.093132691613370816, 0.093664040114489866, 0.094198868881150338, 0.094719906122688421, 0.095221358961912236, 0.095702360830592526, 0.096164063933984106, 0.096608294719035648, 0.097036911759776925, 0.097451489309650793, 0.097853154398413592, 0.098242496931537429, 0.098619515495167537, 0.098983583224024341, 0.099333429723972022, 0.099667141773421383, 0.099982189543106295, 0.10027548712083688, 0.10054349621860593, 0.10078237975768847, 0.10098820726560162, 0.10115720671675681, 0.10128604830596423, 0.10137213619518866, 0.1014138767790547, 0.10141088896701386, 0.10136412529065526, 0.10127588277037555, 0.10114969790748946, 0.10099013762457512, 0.10080251335611409, 0.10059255522757216, 0.10036608549596959, 0.1001287254820345, 0.099885660237038945, 0.099641473154021845, 0.099400051471407819, 0.099164555040965843, 0.098937435614590993, 0.09872049205255172, 0.09851494749449867, 0.098321536698781881, 0.098140594573085979, 0.097972139750402212, 0.097815949527242707, 0.09767162440988944, 0.097538641891995861, 0.09741639997964896, 0.097304251489664692, 0.097201530378455192, 0.097107571404181858, 0.097021724356581587, 0.096943363959550527, 0.096871896397124041, 0.096806763256467282, 0.096747443534833388, 0.096693454227648051, 0.096644349904124807, 0.096599721584913159, 0.096559195161606715, 0.096522429538322324, 0.096489114628649397, 0.096458969304839631, 0.09643173936814943, 0.096407195588043726, 0.096385131842082791, 0.096365363376571062, 0.096347725199491155, 0.096332070611146833, 0.096318269873688384, 0.096306209017846076, 0.096295788783394301, 0.096286923688844464, 0.096279541225404552, 0.09627358117020561, 0.096268995014052422, 0.096265745499427027, 0.096263806265097202, 0.096263161594403804, 0.096263264952045957, 0.096263575145508207, 0.09626409253658269, 0.096264817728870133, 0.096265751568704983, 0.096266895146451134, 0.096268249798175692, 0.096269817107702674, 0.0962715989090525, 0.096273597289275162, 0.096275814591682454, 0.096278253419488799, 0.096280916639871608, 0.096283807388457113, 0.096286929074251418, 0.096290285385021088, 0.096293880293144368, 0.096297718061943829, 0.096301803252520704, 0.096306140731106507, 0.096310735676950907, 0.096315593590771298, 0.096320720303779639, 0.096326121987315966, 0.096331805163111434, 0.096337776714208581, 0.096344043896567741, 0.096350614351389502, 0.096357496118188155, 0.096364697648646802, 0.096372227821294093, 0.0963800959570391, 0.096388311835605908, 0.096396885712910982, 0.096405828339427582, 0.09641515097958718, 0.096424865432266416, 0.096434984052413436, 0.096445519773868005, 0.096456486133437019, 0.096467897296283522, 0.096479768082695302, 0.096492113996300963, 0.09650495125380372, 0.096518296816307303, 0.096532168422312478, 0.096546584622463849, 0.096561564816134593, 0.096577129289935559, 0.096593299258243379, 0.096610096905846335, 0.09662754543280741, 0.09664566910165473, 0.09666449328700899, 0.096684044527770061, 0.096704350581984608, 0.096725440484529773, 0.096747344607753208, 0.096770094725219691, 0.09679372407872841, 0.096818267448776626, 0.09684376122866413, 0.096870243502449327, 0.096897754126997818, 0.096926334818392537, 0.096956029243008793, 0.09698688311361435, 0.097018944290900661, 0.097052262890938587, 0.097086891399131306, 0.097122884791363856, 0.097160300663183791, 0.097199199368033923, 0.097239644165785177, 0.09728170138309454, 0.097325440587476303, 0.097370934777411752, 0.09741826059137812, 0.097467498539368772, 0.097518733261340293, 0.097572053818090684, 0.097627554021421023, 0.097685332812092157, 0.097745494696167806, 0.097808150252915754, 0.097873416730650267, 0.097941418750891879, 0.098012289146186177, 0.098086169963093356, 0.098163213669531124, 0.098243584615200968, 0.098327460805680111, 0.098415036065533257, 0.098506522684152761, 0.098602154660906549, 0.098702191694635344, 0.098806924098003152, 0.098916678861351401, 0.099031827145679013, 0.099152793552693658, 0.099280067604666081, 0.099414217971571392, 0.099555910111654988, 0.099705928147973258, 0.099865201990477437, 0.10003484093104537, 0.10021617518108167, 0.10041080706834686, 0.100620673815704, 0.10084812389402999, 0.1010960086872227, 0.10136779027405023, 0.10166766386559829, 0.10200068866239068, 0.10237291155340186, 0.10279145069466987, 0.10326447502939883, 0.10380096322829663, 0.10441004205706317, 0.1050995856834037, 0.10587362451793157, 0.1067280556027092, 0.1076444032623466, 0.10858238096553485, 0.1094741674506194, 0.11022613382848372, 0.11073442314295293, 0.11091477462425095, 0.11073442314295308, 0.11022613382848388, 0.10947416745061864, 0.10858238096553469, 0.10764440326234664, 0.10672805560270719, 0.10587362451793225, 0.10509958568340411, 0.10441004205706399, 0.10380096322829756, 0.10326447502939848, 0.10279145069466927, 0.10237291155340174, 0.10200068866239081, 0.10166766386559831, 0.10136779027405055, 0.10109600868722242, 0.10084812389402925, 0.1006206738157043, 0.10041080706834722, 0.10021617518108156, 0.10003484093104548, 0.099865201990477312, 0.0997059281479733, 0.099555910111655044, 0.099414217971571198, 0.099280067604666192, 0.099152793552693644, 0.099031827145678999, 0.09891667886135172, 0.098806924098003041, 0.098702191694635358, 0.098602154660906674, 0.098506522684152914, 0.098415036065533243, 0.098327460805679931, 0.098243584615200899, 0.098163213669531152, 0.0980861699630933, 0.098012289146186315, 0.097941418750891962, 0.097873416730650128, 0.097808150252915879, 0.097745494696167876, 0.097685332812092004, 0.097627554021420981, 0.097572053818090698, 0.097518733261340335, 0.097467498539368813, 0.097418260591378203, 0.097370934777411863, 0.097325440587476136, 0.097281701383094457, 0.097239644165785205, 0.097199199368033895, 0.097160300663183638, 0.097122884791363939, 0.09708689139913132, 0.097052262890938407, 0.097018944290900563, 0.096986883113614211, 0.096956029243008821, 0.096926334818392496, 0.096897754126997943, 0.096870243502449313, 0.096843761228664213, 0.096818267448776613, 0.096793724078728327, 0.096770094725219635, 0.096747344607753333, 0.096725440484529787, 0.096704350581984483, 0.096684044527770033, 0.09666449328700906, 0.096645669101654869, 0.09662754543280741, 0.096610096905846266, 0.096593299258243365, 0.096577129289935421, 0.096561564816134648, 0.096546584622463974, 0.09653216842231245, 0.096518296816307275, 0.096504951253803678, 0.096492113996300977, 0.09647976808269533, 0.096467897296283578, 0.096456486133436978, 0.096445519773867922, 0.096434984052413422, 0.096424865432266443, 0.096415150979587208, 0.096405828339427485, 0.096396885712910996, 0.096388311835605991, 0.096380095957039155, 0.096372227821293968, 0.096364697648646774, 0.096357496118188016, 0.096350614351389488, 0.09634404389656781, 0.096337776714208637, 0.096331805163111364, 0.09632612198731591, 0.096320720303779528, 0.096315593590771215, 0.096310735676951059, 0.096306140731106452, 0.096301803252520815, 0.096297718061943899, 0.096293880293144354, 0.096290285385021088, 0.096286929074251473, 0.096283807388457293, 0.096280916639871553, 0.096278253419488924, 0.096275814591682427, 0.096273597289275134, 0.096271598909052514, 0.096269817107702632, 0.096268249798175692, 0.096266895146451148, 0.096265751568704899, 0.096264817728870175, 0.096264092536582718, 0.09626357514550829, 0.096263264952045999, 0.096263161594403637, 0.09626321326997192, 0.096263368317898265, 0.096263626801852339, 0.096263988827963679, 0.096264454544843239, 0.09626502414361307, 0.096265697857942339, 0.096266475964093351, 0.096267358780974269, 0.096268346670198512, 0.096269440036152051, 0.096270639326066124, 0.096271945030097311, 0.096273357681410918, 0.096274877856271215, 0.096276506174134358, 0.096278243297745689, 0.096280089933238389, 0.096282046830235446, 0.096284114781949523, 0.096286294625286151, 0.096288587240942122, 0.096290993553502097, 0.096293514531531829, 0.096296151187664866, 0.096298904578682329, 0.096301775805582954, 0.096304766013644544, 0.096307876392470196, 0.09631110817602076, 0.096314462642631077, 0.096317941115005204, 0.096321544960190686, 0.096325275589526624, 0.09632913445856589, 0.096333123066964121, 0.096337242958335942, 0.096341495720071418, 0.096345882983112155, 0.096350406421680704, 0.096355067752957796, 0.096359868736707655, 0.096364811174839221, 0.096369896910904598, 0.096375127829523885, 0.096380505855734461, 0.096386032954255144, 0.096391711128660088, 0.096397542420454188, 0.096403528908043074, 0.096409672705589491, 0.096415975961746503, 0.096422440858259018, 0.096429069608423998, 0.096435864455399034, 0.096442827670347425, 0.096449961550411356, 0.096457268416495601, 0.096464750610855646, 0.096472410494471972, 0.096480250444198196, 0.096488272849669141, 0.096496480109950974, 0.096504874629920717, 0.096513458816354508, 0.096522235073710369, 0.096531205799584033, 0.096540373379822311, 0.096549740183269742, 0.096559308556133219, 0.096569080815938776, 0.096579059245061924, 0.09658924608380777, 0.096599643523019266, 0.096610253696188753, 0.096621078671050492, 0.096632120440631006, 0.096643380913731106, 0.096654861904818534, 0.096666565123305417, 0.096678492162189891, 0.096690644486037827, 0.096703023418282449, 0.096715630127826302, 0.096728465614920989, 0.096741530696313777, 0.096754825989644078, 0.096768351897080579, 0.096782108588190002, 0.096796095982037811, 0.0968103137285177, 0.096824761188921804, 0.096839437415762467, 0.096854341131866611, 0.096869470708774219, 0.096884824144473483, 0.096900399040529259, 0.096916192578657273, 0.096932201496819484, 0.096948422064929346, 0.096964850060263161, 0.096981480742702589, 0.096998308829938332, 0.097015328472796467, 0.097032533230860488, 0.097049916048589785, 0.097067469232160197, 0.097085184427270904, 0.097103052598194753, 0.097121064008374322, 0.097139208202895108, 0.097157473993191065, 0.097175849444377502, 0.097194321865623018, 0.09721287780401297, 0.097231503042373824, 0.097250182601563373, 0.097268900747750228, 0.097287641005229575, 0.097306386175340515, 0.097325118362061994, 0.097343819004875279, 0.097362468919479708, 0.097381048346947094, 0.097399537011881587, 0.097417914190138288, 0.097436158786609925, 0.097454249423559541, 0.097507381725103426, 0.097558354757184551, 0.097606617296989648, 0.097651687062221992, 0.097693199434696121, 0.097730962247972286, 0.097765014038739745, 0.097795682433722469, 0.097823639072027749, 0.097849947860979905, 0.097876104555284074, 0.097904067618379914, 0.09793628290532104, 0.097975707631374739, 0.098025842092361523, 0.098090780543225314, 0.09817529563693693, 0.098284974349581902, 0.09842642828774667, 0.098607609184387102, 0.098838273580666838, 0.099130662945547232, 0.09950050324777937, 0.099968492855896027, 0.10056256142468101, 0.10132138799045211, 0.10230005168661362, 0.10357944201900314, 0.1052826052027086, 0.10760457971256834, 0.11087014872005119, 0.11565383657914688, 0.12305183927893182, 0.13536851329069816, 0.15809955561363018, 0.20664704458975719, 0.33117346975367556, 0.61350938725364779, 0.49534184226040523, 0.24248008886837658, 0.15644496921550385, 0.12500155940807972, 0.1118255895912101, 0.10684099179300226, 0.10786950161623854, 0.11814859068581715, 0.15586739709073116, 0.32894803621810842, 0.75304715156494639, 0.32996639381474036, 0.18965356572222833, 0.14595826934278988, 0.12707030960863738, 0.11706067797491115, 0.11101825223065118, 0.10703073391611194, 0.10422455681098795, 0.10215251861971569, 0.10056577735042148, 0.099317272236715964, 0.098316690308583241, 0.09750800555957688, 0.096857938227472795, 0.096350336063843106, 0.095984378695821188, 0.095776048313035739, 0.095763519145530454, 0.096018702774789508, 0.096670157577989246, 0.097949202311757438, 0.10028750078789016, 0.10453909584936193, 0.11253493620997894, 0.12863753467233102, 0.16472847396329918, 0.25792875289214456, 0.5085392249600067, 0.7261834200546301, 0.47136187590972756, 0.29427190587877022, 0.21594884712097448, 0.17736281099297377, 0.15575157986315219, 0.14238489640188381, 0.13347949433816422, 0.12720058712988369, 0.12257339816485721, 0.1190408456858285, 0.11626521222427517, 0.11403161589579834, 0.11219771711188578, 0.11066597613097594, 0.10936759264681559, 0.1082528159599756, 0.10728488619807813, 0.10643612608865322, 0.10568534995974484, 0.10501610382951604, 0.10441544385622424, 0.10387307183329993, 0.10338071254304661, 0.10293165810273894, 0.10252042962587682, 0.10214252260853829, 0.10179421293393372, 0.10147240734670719, 0.10117452694646932, 0.10089841547195608, 0.10064226638929828, 0.10040456437952379, 0.1001840379505117, 0.099979620715874587, 0.099790419481129183, 0.09961568771970665, 0.099454803351848406, 0.099307249988934948, 0.099172600995939109, 0.09905050587086342, 0.098940678553303282, 0.098842887362579096, 0.09875694633513378, 0.098682707785290966, 0.098620055956255392, 0.098568901661817074, 0.09852917784540699, 0.098500836003490216, 0.098483843435894045, 0.098478181297618358, 0.098481955829421722, 0.09849328078014416, 0.098512160308508873, 0.098538601655095676, 0.098572615606794284, 0.098614217147886402, 0.098663426298809156, 0.098720269144202524, 0.098784779052621841, 0.098856998091302745, 0.098936978640651055, 0.099024785214751068, 0.099120496496158908, 0.099224207595625682, 0.099336032550223011, 0.099456107076638961, 0.099584591600272734, 0.099721674585143041, 0.099867576194685295, 0.10002255231922216, 0.10018689901232926, 0.10036095738555946, 0.10054511901901964, 0.10073983195422928, 0.10094560734545646, 0.10116302685635445, 0.10139275090011314, 0.10163552783327527, 0.10189220422555081, 0.1021637363398311, 0.10245120296727603, 0.10275581977052349, 0.10307895529173601, 0.10342214877842262, 0.10378712996454831, 0.10417584091118548, 0.1045904599512137, 0.10503342768407249, 0.10550747481210609, 0.10601565137593869, 0.10656135660002546, 0.10714836805714635, 0.10778086814376815, 0.10846346485092608, 0.10920120242158869, 0.10999955558909108, 0.11086439856016764, 0.11180193660754958, 0.11281858396901587, 0.11392076670373241, 0.11511462342581623, 0.11640557098967058, 0.11779769744974078, 0.11929294314976077, 0.12089003617104269, 0.12258316578218315, 0.12436041365918549, 0.1262020244951014, 0.12807868966933014, 0.12995013663520705, 0.13176444434326154, 0.13345860118422273, 0.13496082372225007, 0.13619498974463007, 0.13708716020983477, 0.13757359689023713, 0.13760906253485811, 0.13717375463112147, 0.13627722052056371, 0.13495815013372325, 0.13327992407705544, 0.13132286720059813, 0.12917491497044303, 0.12692258229265699, 0.12464374032252359, 0.12240299218952802, 0.12024970233385747, 0.11821820487119801, 0.11632947496514279, 0.11459355053585113, 0.11301213959705966, 0.11158104358282696, 0.11029220440313886, 0.10913531379773472, 0.10809900450488347, 0.1071716833346274, 0.10634207944673778, 0.10559957852235774, 0.1049344034291575, 0.10433768961765126, 0.10380149165889613, 0.10331874727667641, 0.10288321726647424, 0.10248941369663948, 0.1021325244364279, 0.10180833899563099, 0.1015131785677556, 0.10124383177667104, 0.10099749672884907, 0.10077172941603132, 0.10056439818547987, 0.10037364381858893, 0.10019784467947861, 0.10003558637647532, 0.09988563539658997, 0.099746916210161782, 0.099618491389448019, 0.099499544334696072, 0.099389364250311085, 0.099287333059952229, 0.099192913991685533, 0.099105641602266203, 0.099025113043200982, 0.09895098040067507, 0.098882943967032455, 0.098820746323662917, 0.098764167134252095, 0.098713018563762439, 0.098667141252572602, 0.098626400787214394, 0.098590684619381447, 0.098559899393597175, 0.09853396865130036, 0.098512830885381292, 0.098496437924479097, 0.098484753630847563, 0.098477752899424759, 0.098475420949019662], [0.10022268744715614, 0.10022792076504843, 0.10024363378178734, 0.10026986616500952, 0.10030668563450836, 0.10035419041644203, 0.10041251276938185, 0.10048182367950065, 0.10056233886076901, 0.10065432624390296, 0.10075811519850709, 0.10087410781105006, 0.10100279264346586, 0.10114476153210236, 0.10130073016686358, 0.10147156343342266, 0.10165830683287475, 0.10186222575047714, 0.10208485498363051, 0.10232806184245684, 0.10259412743175247, 0.10288585260925977, 0.10320669790626166, 0.10356097090021008, 0.10395408098315286, 0.10439289158994902, 0.1048862161918005, 0.10544553110468413, 0.10608602348000626, 0.10682817214253262, 0.10770020282679944, 0.10874203147176102, 0.11001184891082162, 0.11159763158769423, 0.1136383943895958, 0.11636612713367422, 0.12019566442666287, 0.12593867522260585, 0.1353893465083893, 0.15326812916882215, 0.19576853253667806, 0.34617310995156159, 0.689150464423264, 0.19885249029892876, 0.1145950133554095, 0.098812512260192178, 0.09482729977253318, 0.093899905450012339, 0.093953600534156176, 0.094352613646398367, 0.094870735687836369, 0.095420422179996398, 0.095966856521172247, 0.096496841941548048, 0.097006414472935745, 0.097495553876798632, 0.097965806634697006, 0.098419176228385322, 0.098857588528327489, 0.099282624973473538, 0.099695381714870829, 0.10009638807310395, 0.10048555372059045, 0.10086213242977762, 0.10122470043075445, 0.10157115356858305, 0.10189873127906968, 0.10220407741654239, 0.10248334801591216, 0.10273237370552325, 0.10294687929573128, 0.10312275503819114, 0.10325636391792475, 0.10334485879223541, 0.10338647475398624, 0.10338075858594201, 0.10332870076206016, 0.10323274667682339, 0.10309668095159444, 0.10292539807420832, 0.10272458965047772, 0.10250038919032858, 0.10225901758036453, 0.10200646664616744, 0.10174824694270032, 0.10148921251997822, 0.10123346303032933, 0.10098431425571494, 0.10074432272883352, 0.10051534832023394, 0.10029863956097052, 0.10009492897876759, 0.099904528882913929, 0.099727421148265882, 0.099563337221076423, 0.099411826635118258, 0.099272313781232469, 0.09914414359976656, 0.099026617379992452, 0.098919020070510927, 0.098820640530333792, 0.098730786059831377, 0.098648792400027552, 0.09857403021530331, 0.09850590890161981, 0.098443878402864018, 0.098387429578060973, 0.098336093543754569, 0.098289440318206314, 0.098247077015165052, 0.098208645772304454, 0.098173821550365997, 0.098142309901133512, 0.098113844773409786, 0.098088186404317823, 0.098065119326965003, 0.098044450513546821, 0.098026007664308329, 0.098009637646663469, 0.097995205084553894, 0.097982591095346738, 0.097971692169852631, 0.097962419190115044, 0.097954696579260189, 0.097948461577759147, 0.097943663640805909, 0.097940263952080289, 0.097938235049878794, 0.097937560562403631, 0.097937668850394816, 0.097937993840911564, 0.09793853591377924, 0.097939295702692039, 0.097940274096195115, 0.097941472239060121, 0.097942891534062729, 0.097944533644163348, 0.097946400495097966, 0.097948494278387269, 0.097950817454770273, 0.097953372758072171, 0.097956163199519108, 0.097959192072505391, 0.097962462957835311, 0.097965979729443736, 0.097969746560618617, 0.097973767930737227, 0.097978048632537937, 0.097982593779944643, 0.097987408816464575, 0.097992499524186788, 0.097997872033399464, 0.09800353283285676, 0.098009488780720938, 0.098015747116210639, 0.098022315471985963, 0.098029201887304324, 0.098036414821984538, 0.098043963171214055, 0.098051856281242841, 0.098060103966004702, 0.098068716524711982, 0.098077704760472145, 0.098087079999975235, 0.09809685411430813, 0.098107039540950569, 0.098117649307013347, 0.098128697053780536, 0.098140197062624945, 0.098152164282364424, 0.098164614358133576, 0.098177563661849376, 0.098191029324352377, 0.098205029269309504, 0.098219582248970649, 0.098234707881872926, 0.098250426692596454, 0.098266760153674568, 0.09828373072977363, 0.098301361924260686, 0.09831967832828209, 0.098338705672488314, 0.098358470881543023, 0.098379002131569152, 0.098400328910687521, 0.098422482082822588, 0.098445493954955984, 0.098469398348026801, 0.098494230671694494, 0.098520028003199298, 0.098546829170580594, 0.098574674840539195, 0.098603607611267699, 0.098633672110613968, 0.098664915099988426, 0.098697385584499461, 0.098731134929862352, 0.098766216986737571, 0.098802688223255372, 0.098840607866639965, 0.098880038055015884, 0.098921044000702951, 0.098963694166584321, 0.099008060457462105, 0.099054218428748328, 0.099102247515356776, 0.099152231284313705, 0.099204257715416605, 0.099258419515275143, 0.099314814471312754, 0.099373545853864639, 0.099434722876428822, 0.099498461226519619, 0.099564883682544403, 0.099634120835813647, 0.099706311941375816, 0.099781605927067529, 0.099860162597245117, 0.099942154076463827, 0.10002776654932706, 0.10011720236634657, 0.10021068260263823, 0.10030845017742468, 0.10041077366870868, 0.10051795199040597, 0.10063032014036061, 0.10074825627903936, 0.1008721904629068, 0.1010026154366379, 0.10114009998829376, 0.10128530549585549, 0.10143900644725615, 0.10160211590468146, 0.10177571711214591, 0.10196110271554126, 0.10215982337221317, 0.10237374785463825, 0.10260513705364173, 0.10285673445983666, 0.10313187554350173, 0.10343461756786546, 0.1037698890175274, 0.10414365264695931, 0.10456306573945645, 0.10503660135979012, 0.10557405839267334, 0.10618632583312834, 0.10688466557240232, 0.10767912975358716, 0.10857555300255005, 0.10957045929205035, 0.11064348437025179, 0.11174808980789902, 0.11280402221306933, 0.11369865726710657, 0.11430556292419042, 0.11452132509354186, 0.11430556292419074, 0.11369865726710671, 0.11280402221306834, 0.11174808980789876, 0.11064348437025176, 0.10957045929204813, 0.10857555300255073, 0.10767912975358758, 0.10688466557240332, 0.10618632583312933, 0.10557405839267293, 0.10503660135978944, 0.10456306573945635, 0.10414365264695945, 0.10376988901752743, 0.10343461756786582, 0.10313187554350141, 0.10285673445983584, 0.10260513705364209, 0.1023737478546386, 0.10215982337221306, 0.10196110271554143, 0.10177571711214577, 0.10160211590468146, 0.10143900644725617, 0.10128530549585532, 0.1011400999882939, 0.10100261543663784, 0.10087219046290673, 0.10074825627903965, 0.10063032014036052, 0.10051795199040599, 0.10041077366870881, 0.10030845017742482, 0.10021068260263824, 0.10011720236634639, 0.10002776654932702, 0.099942154076463854, 0.099860162597245117, 0.099781605927067654, 0.099706311941375955, 0.099634120835813536, 0.099564883682544514, 0.099498461226519647, 0.099434722876428683, 0.099373545853864612, 0.099314814471312796, 0.099258419515275198, 0.099204257715416605, 0.099152231284313802, 0.099102247515356873, 0.099054218428748175, 0.099008060457462008, 0.098963694166584348, 0.098921044000702951, 0.098880038055015759, 0.098840607866640076, 0.098802688223255414, 0.09876621698673739, 0.098731134929862227, 0.098697385584499309, 0.098664915099988454, 0.09863367211061394, 0.098603607611267866, 0.098574674840539167, 0.098546829170580677, 0.098520028003199228, 0.09849423067169441, 0.098469398348026718, 0.098445493954956054, 0.098422482082822602, 0.098400328910687451, 0.098379002131569152, 0.098358470881543161, 0.098338705672488425, 0.09831967832828209, 0.098301361924260672, 0.098283730729773602, 0.098266760153674415, 0.098250426692596468, 0.098234707881873051, 0.098219582248970608, 0.098205029269309449, 0.098191029324352336, 0.098177563661849418, 0.098164614358133645, 0.098152164282364451, 0.098140197062624862, 0.098128697053780412, 0.098117649307013374, 0.098107039540950611, 0.098096854114308144, 0.098087079999975138, 0.098077704760472159, 0.098068716524712066, 0.098060103966004772, 0.09805185628124273, 0.098043963171214027, 0.098036414821984399, 0.098029201887304282, 0.098022315471986018, 0.098015747116210666, 0.098009488780720855, 0.098003532832856718, 0.097997872033399394, 0.097992499524186719, 0.097987408816464699, 0.097982593779944616, 0.097978048632538089, 0.097973767930737338, 0.097969746560618604, 0.097965979729443681, 0.097962462957835367, 0.097959192072505571, 0.097956163199519039, 0.097953372758072282, 0.097950817454770259, 0.097948494278387269, 0.097946400495097979, 0.097944533644163292, 0.097942891534062743, 0.097941472239060134, 0.097940274096195032, 0.097939295702692108, 0.097938535913779282, 0.097937993840911633, 0.097937668850394843, 0.097937560562403436, 0.097937614702966025, 0.097937777146714922, 0.09793804795983943, 0.097938427252668936, 0.097938915179695218, 0.097939511939603721, 0.097940217775310784, 0.097941032974011452, 0.097941957867234669, 0.097942992830904921, 0.097944138285412402, 0.097945394695688623, 0.097946762571289883, 0.097948242466484259, 0.097949834980345346, 0.097951540756849378, 0.097953360484976437, 0.097955294898813453, 0.097957344777660452, 0.097959510946134795, 0.097961794274279063, 0.097964195677663402, 0.097966716117487126, 0.097969356600675822, 0.097972118179972159, 0.097975001954019897, 0.097978009067437366, 0.097981140710882417, 0.09798439812110149, 0.097987782580964772, 0.097991295419483981, 0.097994938011809543, 0.097998711779204883, 0.098002618188994542, 0.098006658754485651, 0.098010835034854124, 0.098015148634998273, 0.098019601205350429, 0.098024194441647339, 0.098028930084652202, 0.098033809919822759, 0.098038835776925889, 0.098044009529585974, 0.098049333094768293, 0.098054808432186696, 0.098060437543633028, 0.098066222472218537, 0.098072165301522352, 0.098078268154638368, 0.098084533193112736, 0.098090962615764804, 0.098097558657380193, 0.098104323587268796, 0.098111259707675993, 0.098118369352038229, 0.098125654883069569, 0.098133118690670804, 0.098140763189643238, 0.098148590817200995, 0.098156604030262579, 0.098164805302509345, 0.098173197121196348, 0.09818178198369816, 0.098190562393774702, 0.09819954085753782, 0.098208719879103248, 0.098218101955905246, 0.098227689573659627, 0.098237485200948757, 0.098247491283413507, 0.09825771023752615, 0.098268144443924205, 0.098278796240281865, 0.098289667913696158, 0.098300761692563438, 0.098312079737922192, 0.098323624134239715, 0.098335396879615872, 0.098347399875381769, 0.098359634915068592, 0.098372103672724281, 0.098384807690555007, 0.098397748365868565, 0.098410926937304036, 0.098424344470323527, 0.098438001841955905, 0.098451899724774028, 0.098466038570099612, 0.098480418590424432, 0.098495039741051782, 0.098509901700954333, 0.098525003852862336, 0.098540345262595502, 0.098555924657659805, 0.098571740405145103, 0.098587790488957314, 0.098604072486445468, 0.098620583544479903, 0.098637320355060176, 0.098654279130546862, 0.098671455578618089, 0.098688844877081003, 0.098706441648675272, 0.09872423993603642, 0.098742233176999372, 0.098760414180451755, 0.098778775102970826, 0.098797307426498296, 0.098816001937340581, 0.098834848706807116, 0.098853837073831316, 0.098872955629940557, 0.098892192206984003, 0.098911533868044119, 0.098930966901998638, 0.098950476822216693, 0.098970048369911093, 0.098989665522684317, 0.099009311508832659, 0.099028968827989575, 0.099048619278700928, 0.099068243993537503, 0.099087823482345669, 0.099107337684238073, 0.099126766028904648, 0.099146087507811398, 0.099165280755808258, 0.099184324143635469, 0.099240337154326869, 0.099294221538255303, 0.099345425390507225, 0.099393471078858903, 0.099438005883978484, 0.099478858950467444, 0.099516101927413433, 0.099550109960174396, 0.099581619452571657, 0.099611779469016504, 0.099642194916935586, 0.099674961728835026, 0.099712696991100636, 0.099758570088215953, 0.099816344201976229, 0.099890440828313762, 0.099986043537298952, 0.10010926159924126, 0.10026738045791897, 0.10046923620582228, 0.10072576819185564, 0.10105083263287933, 0.10146240929000808, 0.10198441888513012, 0.10264952173323624, 0.10350354990802918, 0.10461276634628285, 0.10607623306057264, 0.10804788452449184, 0.11077814444308939, 0.11469773157222417, 0.1206005483832627, 0.13008470261218749, 0.14675858337103709, 0.1801000782658061, 0.2600159628719324, 0.48038103801518195, 0.62810124433094294, 0.30409695698454992, 0.17224172940665822, 0.12876720051737317, 0.11129795231237763, 0.10344940619657783, 0.10037356645543297, 0.10111176420849716, 0.10783272279317328, 0.13126626331217736, 0.22981833767059667, 0.69706787508497925, 0.43363597373692842, 0.21672258120305726, 0.15704724987277818, 0.13334516967816024, 0.12139268454304175, 0.11440056699927904, 0.10988283750105442, 0.10674991225629611, 0.10445996685380447, 0.10271760391541918, 0.10135051539944892, 0.10025336018602395, 0.099360168064079518, 0.0986301167816519, 0.098040247984313364, 0.097582317560448328, 0.097262736042951631, 0.097105695734488615, 0.097160778880137258, 0.097518303648941332, 0.098339752755475573, 0.099920264208991333, 0.10282510513638875, 0.10821322938117177, 0.11868820823726772, 0.14083929058922037, 0.1939523401124634, 0.34033556242092311, 0.66600066976336514, 0.63436300446578786, 0.37619652923851638, 0.2533052552524242, 0.19726031823198611, 0.16796998542687211, 0.15076417833827951, 0.13973111280427924, 0.13217438518697577, 0.12672960671933631, 0.12264666639495435, 0.11948480624392087, 0.11697065810027493, 0.11492694337943443, 0.11323433016643927, 0.11180991633225472, 0.11059453161987227, 0.10954494808644938, 0.10862893824185982, 0.10782204623546235, 0.10710542282579624, 0.10646433979558187, 0.10588714934457491, 0.10536454152029583, 0.10488900534502525, 0.104454431729209, 0.10405581672970091, 0.10368903690584851, 0.10335067719841001, 0.10303789755814029, 0.10274832849667437, 0.10247998845693766, 0.10223121780850512, 0.10200062562759316, 0.10178704639455552, 0.10158950444946435, 0.10140718456683065, 0.10123940739741696, 0.10108560881569466, 0.10094532243187326, 0.10081816469606332, 0.10070382215225729, 0.10060204050085035, 0.10051261520738237, 0.10043538345703064, 0.10037021730292253, 0.10031701789438432, 0.1002757107009145, 0.10024624167074465, 0.10022857428062505, 0.10022268744715614, 0.10022661175733985, 0.10023838631198345, 0.10025801608297678, 0.10028550968899345, 0.10032087989439226, 0.10036414430898299, 0.10041532629019173, 0.10047445604988277, 0.10054157196907175, 0.10061672212500847, 0.1006999660366676, 0.10079137663663609, 0.10089104247974913, 0.10099907020166739, 0.10111558724396699, 0.10124074486626183, 0.10137472147051696, 0.1015177262680218, 0.10167000332565401, 0.10183183603508449, 0.10200355205657954, 0.10218552879816414, 0.1023781995011826, 0.10258206001490446, 0.10279767635580458, 0.10302569316162576, 0.10326684316634492, 0.10352195783964274, 0.10379197935329425, 0.10407797405669503, 0.10438114766385148, 0.10470286237352167, 0.10504465616101306, 0.10540826449167502, 0.10579564470826143, 0.10620900333079862, 0.10665082646930127, 0.10712391347335812, 0.10763141380911019, 0.10817686693634136, 0.10876424461791527, 0.10939799457729572, 0.11008308365411786, 0.11082503749387493, 0.1116299722153727, 0.1125046112620684, 0.11345627755716942, 0.11449284691662537, 0.11562264319957662, 0.11685424873131432, 0.11819619515395946, 0.11965649050075849, 0.12124192919126409, 0.12295712536036243, 0.12480321100580076, 0.12677615605887937, 0.12886470773311645, 0.13104802334758203, 0.13329319456534058, 0.13555303283164571, 0.13776468604988665, 0.13984983131550768, 0.14171724352158993, 0.14326835540841981, 0.14440590700615957, 0.14504494436633097, 0.1451244633157443, 0.14461727570638239, 0.14353561579690721, 0.14193081695230952, 0.13988689328357592, 0.13750950104296722, 0.13491287185937564, 0.13220750355938679, 0.12949071696737974, 0.12684105259384457, 0.1243163879820888, 0.12195493800429506, 0.11977803822109413, 0.11779370035507633, 0.11600019707478948, 0.11438923407814627, 0.11294851600010981, 0.11166368039915449, 0.11051966706105271, 0.10950162815393437, 0.1085954894704681, 0.10778826057177554, 0.10706817286316617, 0.10642470551621469, 0.10584854251214212, 0.10533149081465853, 0.10486637970063713, 0.10444695408518924, 0.10406776967176268, 0.10372409437924877, 0.10341181828610624, 0.1031273729314538, 0.10286765996388872, 0.10262998864438268, 0.10241202146087972, 0.10221172701133309, 0.10202733930037107, 0.10185732263429752, 0.10170034136524551, 0.10155523381274049, 0.10142098977051052, 0.10129673108283316, 0.10118169484530104, 0.10107521884837921, 0.1009767289382766, 0.10088572801868743, 0.10080178645942868, 0.10072453371456107, 0.10065365098390863, 0.100588864778663, 0.10052994127457235, 0.10047668135562567, 0.10042891626762791, 0.10038650381504229, 0.10034932504631043, 0.10031728138287198, 0.10029029215554078, 0.1002682925190288, 0.10025123172139901, 0.10023907171030272, 0.10023178606216747, 0.10022935922418243], [0.10190751439125337, 0.10191294996047223, 0.10192927067506857, 0.10195651906753164, 0.10199476774429471, 0.10204412201189204, 0.10210472365228297, 0.10217675595393216, 0.10226045014759677, 0.10235609344843831, 0.1024640389729807, 0.10258471788580222, 0.10271865424393352, 0.10286648315666556, 0.10302897307888603, 0.10320705332723941, 0.10340184827942192, 0.10361472023040459, 0.10384732359890905, 0.10410167419914321, 0.10438023876420401, 0.10468605205946885, 0.1050228721240118, 0.10539538902265651, 0.10580950997219968, 0.10627275551017419, 0.10679482045256172, 0.10738838504678444, 0.10807031584245343, 0.10886349142771296, 0.10979966363206702, 0.11092410085696185, 0.11230343661402652, 0.11403958901454689, 0.1162959122295278, 0.11934991562092813, 0.12370933135047203, 0.13039835666673794, 0.14177922486152783, 0.164469704692356, 0.22351690523126752, 0.46021637213823913, 0.51664283268150657, 0.16009030300685337, 0.10940485328108218, 0.098681566425140282, 0.095909509020457875, 0.095363404635020424, 0.095558748904627247, 0.096017101265879132, 0.096563053781500902, 0.097127797634050383, 0.097684101346913826, 0.098222046431943683, 0.098739148669241342, 0.099236071062601058, 0.099714674152495769, 0.1001770973119675, 0.10062531183763382, 0.10106089424793624, 0.10148490259388437, 0.10189780055056571, 0.10229940427758862, 0.10268884284271916, 0.10306453206187656, 0.10342416732282171, 0.10376474469380717, 0.1040826216630194, 0.10437362890078562, 0.1046332419001412, 0.10485681570829047, 0.1050398771389664, 0.10517845762581136, 0.1052694380972401, 0.10531086775076658, 0.10530221455921668, 0.10524450922970831, 0.1051403567880531, 0.10499380907472787, 0.10481011302972354, 0.1045953684948252, 0.10435614089689316, 0.10409907636368043, 0.10383056014203323, 0.10355644647697898, 0.1032818732050664, 0.10301116070715097, 0.10274778481734798, 0.1024944075948567, 0.10225294814854005, 0.102024676907472, 0.10181031962928958, 0.1016101609719092, 0.10142414087838096, 0.10125193992058067, 0.10109305195598872, 0.10094684398416265, 0.10081260404694543, 0.10068957853230781, 0.10057700044604514, 0.10047411021796041, 0.10038017049351132, 0.10029447618747496, 0.10021636088206134, 0.10014520046180564, 0.10008041470436588, 0.10002146739588241, 0.099967865413076298, 0.09991915711065949, 0.099874930269405512, 0.099834809794490137, 0.099798455302501421, 0.09976555869614144, 0.099735841795721425, 0.09970905407409357, 0.09968497052501997, 0.099663389682832532, 0.09964413180250857, 0.099627037203180599, 0.099611964773935857, 0.099598790638067869, 0.099587406970326156, 0.099577720960892777, 0.099569653919563128, 0.099563140513781373, 0.09955812813464085, 0.099554576385625718, 0.099552456689680893, 0.099551752011099157, 0.099551865308140641, 0.099552205331942034, 0.099552772480742166, 0.099553567418963262, 0.099554591078252069, 0.099555844658938297, 0.099557329631918698, 0.0995590477409692, 0.099561001005492353, 0.099563191723707645, 0.099565622476293761, 0.099568296130490813, 0.09957121584467786, 0.09957438507343136, 0.099577807573087845, 0.099581487407816416, 0.099585428956225158, 0.099589636918514968, 0.099594116324203674, 0.099598872540440211, 0.099603911280929991, 0.099609238615502443, 0.099614860980339379, 0.09962078518889822, 0.099627018443558563, 0.099633568348024962, 0.099640442920519767, 0.099647650607804006, 0.099655200300066152, 0.099663101346718103, 0.099671363573146127, 0.099679997298461567, 0.099689013354302219, 0.09969842310473831, 0.099708238467337409, 0.09971847193545072, 0.099729136601781454, 0.099740246183304501, 0.099751815047605233, 0.099763858240716666, 0.09977639151653063, 0.099789431367868581, 0.099802995059300764, 0.09981710066180792, 0.099831767089383808, 0.099847014137685985, 0.099862862524843346, 0.099879333934541972, 0.099896451061510613, 0.099914237659541563, 0.099932718592187511, 0.099951919886283117, 0.09997186878845285, 0.099992593824774378, 0.10001412486378347, 0.10003649318301309, 0.10005973153928248, 0.10008387424296367, 0.10010895723647453, 0.10013501817727301, 0.1001620965256507, 0.10019023363765972, 0.10021947286353942, 0.10024985965206011, 0.10028144166125279, 0.1003142688760548, 0.10034839373349058, 0.10038387125608789, 0.10042075919436276, 0.10045911817933433, 0.10049901188621804, 0.10054050721065366, 0.10058367445909036, 0.10062858755528441, 0.1006753242652554, 0.10072396644355795, 0.1007746003043315, 0.10082731672135452, 0.10088221156227123, 0.10093938606332364, 0.10099894725236037, 0.1010610084296891, 0.10112568971854627, 0.10119311869971173, 0.10126343114819737, 0.10133677189417337, 0.10141329583553979, 0.1014931691360815, 0.10157657065124837, 0.10166369363369109, 0.10175474778325329, 0.10184996172176286, 0.10194958599250845, 0.10205389670866635, 0.10216320000544296, 0.10227783748885795, 0.1023981929219191, 0.10252470044890816, 0.10265785473376732, 0.10279822348303637, 0.10294646294230606, 0.10310333710353194, 0.10326974154569783, 0.10344673306087884, 0.10363556649929141, 0.10383774060627236, 0.10405505502106764, 0.10428968104796023, 0.10454424925127442, 0.10482195726495072, 0.10512670122861298, 0.10546323353362505, 0.10583734725389533, 0.10625608219316364, 0.1067279360733835, 0.10726304202954214, 0.10787323187493367, 0.1085718305153997, 0.10937290310945502, 0.11028948863328887, 0.11133011634763132, 0.11249272943638813, 0.11375538098334065, 0.11506444006591345, 0.11632440799448962, 0.11739837847174059, 0.11813028062598019, 0.11839112617228567, 0.11813028062598054, 0.11739837847174062, 0.11632440799448836, 0.11506444006591318, 0.11375538098334056, 0.11249272943638552, 0.11133011634763217, 0.11028948863328938, 0.10937290310945619, 0.10857183051540077, 0.10787323187493324, 0.10726304202954137, 0.10672793607338338, 0.10625608219316381, 0.10583734725389538, 0.10546323353362541, 0.10512670122861263, 0.10482195726494982, 0.10454424925127478, 0.10428968104796063, 0.10405505502106746, 0.1038377406062725, 0.10363556649929127, 0.10344673306087886, 0.10326974154569787, 0.1031033371035318, 0.10294646294230619, 0.10279822348303633, 0.10265785473376729, 0.10252470044890849, 0.10239819292191901, 0.10227783748885795, 0.10216320000544316, 0.10205389670866649, 0.10194958599250843, 0.10184996172176269, 0.10175474778325323, 0.10166369363369113, 0.10157657065124834, 0.10149316913608167, 0.1014132958355399, 0.10133677189417321, 0.10126343114819751, 0.1011931186997117, 0.10112568971854612, 0.10106100842968901, 0.10099894725236042, 0.10093938606332364, 0.10088221156227123, 0.1008273167213546, 0.10077460030433155, 0.10072396644355777, 0.10067532426525529, 0.10062858755528445, 0.10058367445909036, 0.10054050721065354, 0.10049901188621811, 0.10045911817933431, 0.10042075919436261, 0.10038387125608775, 0.10034839373349043, 0.10031426887605484, 0.10028144166125275, 0.10024985965206026, 0.10021947286353941, 0.10019023363765979, 0.10016209652565072, 0.10013501817727295, 0.10010895723647446, 0.10008387424296378, 0.10005973153928249, 0.10003649318301301, 0.10001412486378349, 0.099992593824774503, 0.099971868788452989, 0.09995191988628313, 0.099932718592187553, 0.099914237659541549, 0.099896451061510474, 0.099879333934542, 0.099862862524843471, 0.099847014137685902, 0.099831767089383752, 0.099817100661807878, 0.099802995059300834, 0.099789431367868622, 0.099776391516530671, 0.09976385824071661, 0.099751815047605136, 0.099740246183304473, 0.099729136601781454, 0.099718471935450706, 0.09970823846733734, 0.09969842310473831, 0.099689013354302303, 0.099679997298461609, 0.09967136357314603, 0.099663101346718075, 0.099655200300065999, 0.099647650607803978, 0.099640442920519795, 0.09963356834802499, 0.099627018443558507, 0.099620785188898178, 0.099614860980339295, 0.099609238615502402, 0.099603911280930116, 0.099598872540440114, 0.099594116324203827, 0.099589636918515065, 0.099585428956225186, 0.099581487407816416, 0.099577807573087901, 0.099574385073431526, 0.099571215844677763, 0.099568296130490938, 0.099565622476293719, 0.099563191723707645, 0.099561001005492339, 0.099559047740969159, 0.099557329631918684, 0.099555844658938339, 0.099554591078252, 0.099553567418963304, 0.099552772480742208, 0.099552205331942145, 0.099551865308140669, 0.09955175201109899, 0.099551808656002161, 0.099551978613624623, 0.099552261952711177, 0.099552658787850912, 0.0995531692795006, 0.099553793634017035, 0.099554532103696039, 0.099555384986822371, 0.099556352627726885, 0.099557435416851109, 0.099558633790820319, 0.099559948232522275, 0.099561379271194517, 0.099562927482514829, 0.099564593488699241, 0.099566377958603347, 0.099568281607827963, 0.099570305198826689, 0.099572449541017155, 0.099574715490889865, 0.099577103952120896, 0.099579615875679664, 0.09958225225993482, 0.099585014150756657, 0.099587902641612588, 0.099590918873655537, 0.099594064035801858, 0.099597339364800419, 0.099600746145285191, 0.099604285709813764, 0.099607959438887977, 0.099611768760953109, 0.099615715152373691, 0.099619800137382586, 0.099624025288002044, 0.099628392223929038, 0.099632902612386498, 0.099637558167931836, 0.099642360652222414, 0.099647311873731409, 0.099652413687408514, 0.099657667994284452, 0.099663076741008216, 0.099668641919317125, 0.099674365565428219, 0.09968024975934954, 0.099686296624101112, 0.09969250832483878, 0.099698887067874858, 0.099705435099584877, 0.099712154705194941, 0.099719048207436919, 0.099726117965064601, 0.099733366371218615, 0.099740795851631023, 0.099748408862655749, 0.099756207889115975, 0.099764195441951226, 0.099772374055655991, 0.099780746285491342, 0.099789314704457233, 0.099798081900009217, 0.099807050470502312, 0.099816223021347614, 0.099825602160860394, 0.099835190495784376, 0.09984499062647037, 0.099855005141691738, 0.099865236613072672, 0.099875687589111986, 0.099886360588776577, 0.099897258094643643, 0.099908382545568816, 0.099919736328855716, 0.099931321771902504, 0.099943141133301577, 0.099955196593368642, 0.099967490244074378, 0.099980024078356863, 0.099992799978788113, 0.10000581970557443, 0.10001908488386485, 0.10003259699034714, 0.10004635733911421, 0.10006036706677721, 0.10007462711681589, 0.10008913822314762, 0.10010390089291042, 0.10011891538844886, 0.10013418170850777, 0.10014969956863176, 0.10016546838078534, 0.10018148723220853, 0.10019775486353188, 0.10021426964618906, 0.10023102955916269, 0.10024803216512805, 0.10026527458605403, 0.1002827534783433, 0.10030046500761181, 0.10031840482321203, 0.1003365680326372, 0.10035494917594903, 0.10037354220040343, 0.10039234043546355, 0.10041133656841575, 0.10043052262083392, 0.1004498899261536, 0.10046942910865546, 0.10048913006418186, 0.10050898194294201, 0.10052897313478541, 0.10054909125736639, 0.10056932314763774, 0.10058965485715676, 0.1006100716517016, 0.1006305580157352, 0.10065109766227179, 0.10067167354872507, 0.10069226789933647, 0.10071286223479314, 0.10073343740965593, 0.10075397365821591, 0.10077445064939555, 0.10079484755129087, 0.10081514310593515, 0.10083531571481917, 0.10085534353566866, 0.10091433855337086, 0.10097124592748136, 0.10102551448003164, 0.10107667288142712, 0.10112438226599735, 0.10116849542673477, 0.10120911995570153, 0.10124668199364503, 0.10128198704311284, 0.10131627480739656, 0.10135126637542266, 0.10138920427356557, 0.10143288879888998, 0.10148571739574529, 0.10155173742385905, 0.10163572644591135, 0.10174331841347098, 0.10188119960046682, 0.10205740621556025, 0.10228176864340884, 0.10256656905569392, 0.10292751624491027, 0.10338520570828025, 0.10396734634135747, 0.10471224110672266, 0.10567439740689176, 0.10693390773780555, 0.10861282667538523, 0.110905259715909, 0.11413612098635166, 0.11888469075070061, 0.12626932901353716, 0.13868367686742286, 0.16200111038156562, 0.21346694538230643, 0.35320228836514683, 0.6515171696003933, 0.41888804762520626, 0.202910433598951, 0.13778482983354567, 0.11408767771047498, 0.10368820466306114, 0.098725517453474909, 0.096703459103463826, 0.097204293310720169, 0.10172850216430862, 0.1169451057487917, 0.17553482146230917, 0.49680505071915509, 0.58585826718571921, 0.25475389498761453, 0.17075949475111205, 0.14051596015601245, 0.12610592037577056, 0.11796735983290366, 0.11283049321332429, 0.10932584091449454, 0.10679362335919196, 0.10488216303737594, 0.10338947426126638, 0.10219309590308139, 0.1012162036111561, 0.10041024280098026, 0.099745837779789626, 0.099208349754888611, 0.098796557990970951, 0.098524121971858988, 0.098424479901596182, 0.098561214001732775, 0.09904853473797752, 0.10009239503651782, 0.10207721113437637, 0.10576235569166767, 0.11277038420538671, 0.12694840906832786, 0.15872589088167988, 0.24091519588450061, 0.47203507407429873, 0.74411133581796152, 0.50256521275820176, 0.30879376383807289, 0.22423402490690614, 0.18333029007015481, 0.16070606700039464, 0.14682744652735463, 0.13763145857617406, 0.13117162938692425, 0.12642310419388092, 0.12280412016749423, 0.11996381583414994, 0.11767984517723067, 0.11580539544338904, 0.11424012117676383, 0.11291339256583215, 0.1117742257141424, 0.11078500561456246, 0.10991744757741409, 0.10914992566208016, 0.10846566141417001, 0.10785146866916469, 0.10729686644310507, 0.10679344074726277, 0.10633437802214171, 0.10591411898081654, 0.10552809828617647, 0.10517254630857022, 0.10484433638320458, 0.10454086582306107, 0.10425996225622795, 0.10399980915985813, 0.10375888608642958, 0.10353592023713311, 0.1033298468750498, 0.10313977668341948, 0.10296496862724867, 0.10280480721494016, 0.10265878331202516, 0.1025264778535972, 0.10240754795149073, 0.10230171500782656, 0.10220875453654416, 0.1021284874648289, 0.10206077274137751, 0.10200550112152194, 0.10196259003281889, 0.1019319794508568, 0.10191362873522966, 0.10190751439125337, 0.10191159035554159, 0.10192382016538788, 0.10194420967862852, 0.10197276901485251, 0.10200951309106697, 0.10205446237345947, 0.10210764384734654, 0.10216909220831795, 0.10223885127879384, 0.10231697565572449, 0.10240353259703969, 0.10249860415678275, 0.10260228958167436, 0.10271470798522697, 0.10283600131954514, 0.10296633766965178, 0.10310591490072887, 0.1032549646950497, 0.10341375702283973, 0.10358260509987435, 0.10376187089449365, 0.10395197125806332, 0.10415338476588773, 0.10436665937045694, 0.10459242098583456, 0.10483138314125146, 0.10508435786377023, 0.10535226797438405, 0.10563616100923812, 0.1059372250077681, 0.10625680644212852, 0.10659643059667769, 0.10695782474115968, 0.10734294447430086, 0.10775400364215501, 0.10819350825174032, 0.10866429479630187, 0.10916957337019972, 0.10971297585844916, 0.11029860930826289, 0.1109311142836491, 0.11161572750611261, 0.11235834730518827, 0.11316559921649529, 0.11404489730006252, 0.1150044941770422, 0.11605350909928985, 0.11720191820468931, 0.1184604840509724, 0.11984059215170058, 0.1213539502986784, 0.12301209210792605, 0.1248256105437832, 0.12680303291840866, 0.12894924159424845, 0.13126335402790879, 0.13373601677023039, 0.13634616028036481, 0.13905742551824146, 0.1418147204261431, 0.14454167759467229, 0.14714009371496187, 0.14949259575682397, 0.15146959944862978, 0.1529409206233848, 0.1537911434376629, 0.15393631602853186, 0.15333833137337069, 0.15201316321309566, 0.1500303574703834, 0.14750355032326012, 0.14457436393658907, 0.1413937188170809, 0.13810476403526881, 0.13483041824382966, 0.13166667716520991, 0.12868119775351816, 0.125915701218486, 0.12339049809939714, 0.12110970017454434, 0.11906615338475665, 0.1172455853995419, 0.11562980527990609, 0.11419900163208216, 0.11293328501243806, 0.11181364768725696, 0.11082250200045217, 0.10994393027935867, 0.10916374766470474, 0.10846945093178545, 0.10785010358384453, 0.10729619038669674, 0.10679946228111117, 0.10635278419968817, 0.10594999272770951, 0.10558576695823717, 0.10525551367110954, 0.10495526665628024, 0.10468159928385884, 0.10443154907774366, 0.10420255293149537, 0.10399239161920552, 0.10379914234011892, 0.10362113815605055, 0.10345693331252449, 0.10330527356499522, 0.10316507075346626, 0.10303538097899849, 0.10291538583295609, 0.10280437621454214, 0.10270173834512115, 0.10260694165018393, 0.10251952823284319, 0.10243910370771717, 0.10236532920207617, 0.10229791436324676, 0.10223661123836029, 0.10218120891538086, 0.10213152883359791, 0.10208742068797991, 0.10204875886542285, 0.10201543936240336, 0.1019873771431601, 0.10196450390563229, 0.10194676622915415, 0.10193412408362383, 0.10192654968470549, 0.10192402668374592], [0.10346895329135176, 0.10347458993785659, 0.10349151487602977, 0.10351977364848203, 0.10355944399631467, 0.10361063866643538, 0.10367350944976315, 0.103748252566984, 0.10383511556500948, 0.1039344059451883, 0.10404650181801323, 0.10417186497440085, 0.10431105688874073, 0.10446475833499011, 0.1046337935199958, 0.10481915994071005, 0.10502206558712117, 0.1052439756892273, 0.10548667201716616, 0.1057523288993745, 0.10604361179518504, 0.10636380671406782, 0.10671699244347115, 0.10710827313361314, 0.10754409746537544, 0.10803270441071196, 0.10858475803213577, 0.10921427130328658, 0.10993998367340792, 0.11078747266953275, 0.11179249435206452, 0.11300646384090594, 0.11450583832318374, 0.11640901371913884, 0.11890866189159334, 0.12233842861401345, 0.1273241093938724, 0.13517099073053021, 0.14903538663500665, 0.17841164826783126, 0.26343210502409548, 0.61872240025322778, 0.34584248279059143, 0.13823837245705684, 0.10634219562771806, 0.098934617453213719, 0.097032479311933678, 0.09677331556385807, 0.097077795337831868, 0.097582177965643599, 0.09814966058134407, 0.098726065533308649, 0.099290184912603996, 0.099834723938066541, 0.10035838103988005, 0.10086235828852044, 0.10134875623290669, 0.10181981023853852, 0.10227751462993438, 0.10272342790473979, 0.10315856187508224, 0.10358330888231013, 0.10399738669966212, 0.10439979441603946, 0.10478878075391591, 0.10516183169110653, 0.10551568798215459, 0.10584640531142776, 0.10614946989605441, 0.10641997966662284, 0.1066528950386238, 0.10684335360485066, 0.10698703063677457, 0.10708051412571395, 0.10712165238721759, 0.10710982759000076, 0.10704611277899483, 0.1069332837798484, 0.10677567866277661, 0.10657892147564779, 0.10634954783760935, 0.10609458269556871, 0.10582112264562578, 0.10553596745918324, 0.1052453311073791, 0.10495464598875869, 0.10466845911691679, 0.10439040817025255, 0.10412325934062315, 0.10386898732887223, 0.10362887939949983, 0.10340364874653701, 0.10319354637195, 0.10299846443642499, 0.10281802717513898, 0.1026516678269301, 0.10249869163432941, 0.10235832595662202, 0.10222975905036864, 0.10211216925582027, 0.10200474630269571, 0.10190670630471577, 0.10181730181167108, 0.10173582807120901, 0.10166162644405283, 0.10159408572867952, 0.10153264198990476, 0.10147677735103308, 0.10142601809953551, 0.10137993236861818, 0.10133812758823081, 0.10130024784574065, 0.10126597125570944, 0.10123500740738448, 0.10120709493550376, 0.10118199924306916, 0.10115951039245727, 0.10113944117248518, 0.10112162534298513, 0.10110591605437225, 0.10109218443710645, 0.1010803183544626, 0.10107022131133285, 0.10106181151166213, 0.10105502105741405, 0.1010497952825421, 0.10104609221621581, 0.10104388217047164, 0.10104314744845282, 0.10104326575569081, 0.10104362081625858, 0.10104421304693711, 0.10104504314309265, 0.10104611207977739, 0.10104742111327257, 0.10104897178308198, 0.10105076591437789, 0.10105280562090835, 0.10105509330837334, 0.1010576316782793, 0.10106042373228176, 0.10106347277703107, 0.10106678242952866, 0.10107035662301808, 0.10107419961341718, 0.1010783159863177, 0.10108271066456619, 0.10108738891645182, 0.10109235636452141, 0.10109761899504613, 0.1011031831681715, 0.10110905562877284, 0.10111524351805155, 0.10112175438590464, 0.1011285962041017, 0.10113577738030807, 0.10114330677299385, 0.10115119370727368, 0.10115944799171993, 0.101168079936201, 0.10117710037079541, 0.10118652066583636, 0.10119635275314696, 0.10120660914852628, 0.10121730297555463, 0.10122844799078727, 0.1012400586104109, 0.10125214993844199, 0.10126473779655225, 0.10127783875560969, 0.10129147016902876, 0.10130565020803217, 0.10132039789892977, 0.10133573316252786, 0.10135167685579068, 0.10136825081587979, 0.10138547790671075, 0.10140338206816919, 0.1014219883681431, 0.10144132305753714, 0.10146141362844398, 0.10148228887566398, 0.10150397896177517, 0.10152651548597563, 0.1015499315569319, 0.10157426186989316, 0.10159954278834894, 0.10162581243053605, 0.10165311076113021, 0.10168147968849313, 0.10171096316788547, 0.10174160731110325, 0.10177346050305502, 0.10180657352586267, 0.10184099969114678, 0.10187679498126335, 0.10191401820036254, 0.10195273113629696, 0.10199299873456599, 0.10203488928570273, 0.10207847462776155, 0.10212383036587692, 0.1021710361112575, 0.10222017574243832, 0.10227133769220859, 0.10232461526433989, 0.10238010698512222, 0.1024379169958051, 0.1024981554933838, 0.10256093922882449, 0.10262639207388194, 0.10269464567019612, 0.1027658401775024, 0.1028401251416855, 0.10291766050824459, 0.10299861781273736, 0.10308318158723284, 0.10317155103107982, 0.10326394200584747, 0.10336058942870963, 0.10346175015650749, 0.10356770647521589, 0.10367877033765664, 0.10379528852758367, 0.10391764897254599, 0.10404628848364683, 0.10418170227046852, 0.10432445566793437, 0.10447519862357449, 0.10463468363474521, 0.1048037880033714, 0.10498354149999822, 0.10517516081012261, 0.10538009248559352, 0.10560006655349581, 0.10583716345074905, 0.10609389754860027, 0.10637332117190189, 0.10667915360679407, 0.10701593990727361, 0.10738924389619237, 0.10780587769351707, 0.10827416462972837, 0.10880422021200833, 0.10940821091400563, 0.11010050254286126, 0.11089752190329083, 0.11181700337662945, 0.11287605136510862, 0.11408712559939788, 0.11545077128255746, 0.11694409263900887, 0.11850555362641924, 0.12002095469320613, 0.12132217448492628, 0.12221390650404268, 0.12253267910134379, 0.12221390650404311, 0.12132217448492627, 0.12002095469320462, 0.1185055536264189, 0.11694409263900879, 0.11545077128255457, 0.11408712559939882, 0.1128760513651092, 0.11181700337663072, 0.11089752190329201, 0.1101005025428608, 0.10940821091400481, 0.10880422021200818, 0.10827416462972851, 0.1078058776935171, 0.10738924389619274, 0.10701593990727325, 0.10667915360679317, 0.10637332117190224, 0.10609389754860067, 0.10583716345074888, 0.10560006655349596, 0.10538009248559338, 0.10517516081012261, 0.10498354149999826, 0.1048037880033712, 0.10463468363474539, 0.10447519862357442, 0.10432445566793429, 0.10418170227046887, 0.10404628848364678, 0.103917648972546, 0.10379528852758381, 0.10367877033765684, 0.10356770647521583, 0.10346175015650726, 0.1033605894287095, 0.1032639420058475, 0.10317155103107976, 0.10308318158723298, 0.10299861781273748, 0.10291766050824447, 0.10284012514168563, 0.10276584017750243, 0.10269464567019597, 0.1026263920738819, 0.10256093922882453, 0.10249815549338384, 0.10243791699580507, 0.10238010698512232, 0.10232461526433999, 0.10227133769220841, 0.10222017574243818, 0.10217103611125754, 0.10212383036587691, 0.10207847462776144, 0.10203488928570285, 0.10199299873456596, 0.10195273113629681, 0.10191401820036237, 0.10187679498126319, 0.10184099969114679, 0.10180657352586263, 0.10177346050305518, 0.10174160731110325, 0.10171096316788554, 0.1016814796884931, 0.10165311076113016, 0.10162581243053595, 0.10159954278834908, 0.10157426186989317, 0.1015499315569318, 0.10152651548597566, 0.10150397896177527, 0.10148228887566411, 0.10146141362844403, 0.10144132305753714, 0.1014219883681431, 0.10140338206816908, 0.10138547790671081, 0.1013682508158799, 0.10135167685579065, 0.10133573316252778, 0.10132039789892969, 0.1013056502080322, 0.10129147016902881, 0.10127783875560974, 0.10126473779655219, 0.10125214993844187, 0.10124005861041095, 0.10122844799078727, 0.10121730297555465, 0.10120660914852619, 0.10119635275314701, 0.10118652066583644, 0.10117710037079547, 0.1011680799362009, 0.1011594479917199, 0.10115119370727353, 0.10114330677299384, 0.1011357773803081, 0.10112859620410175, 0.10112175438590457, 0.10111524351805154, 0.10110905562877275, 0.10110318316817146, 0.10109761899504627, 0.10109235636452127, 0.10108738891645196, 0.10108271066456628, 0.1010783159863177, 0.10107419961341717, 0.10107035662301814, 0.10106678242952886, 0.10106347277703101, 0.1010604237322819, 0.10105763167827927, 0.10105509330837334, 0.10105280562090836, 0.10105076591437788, 0.10104897178308195, 0.10104742111327261, 0.10104611207977725, 0.10104504314309273, 0.10104421304693721, 0.10104362081625864, 0.10104326575569084, 0.10104314744845262, 0.10104320659826757, 0.1010433840714753, 0.1010436799393705, 0.1010440943207926, 0.10104462738215057, 0.10104527933745604, 0.10104605044836455, 0.10104694102422701, 0.10104795142215017, 0.10104908204706312, 0.10105033335179416, 0.10105170583715281, 0.10105320005202098, 0.10105481659344727, 0.10105655610674988, 0.10105841928562191, 0.10106040687224245, 0.10106251965738873, 0.10106475848055287, 0.10106712423005579, 0.10106961784316572, 0.10107224030621109, 0.10107499265469219, 0.10107787597338917, 0.10108089139646252, 0.10108404010754711, 0.10108732333983536, 0.10109074237615075, 0.10109429854900562, 0.10109799324064329, 0.10110182788306293, 0.10110580395802177, 0.10110992299701374, 0.1011141865812204, 0.10111859634143319, 0.10112315395793919, 0.10112786116037152, 0.10113271972751602, 0.10113773148707386, 0.10114289831537293, 0.10114822213702244, 0.10115370492451017, 0.10115934869773026, 0.10116515552344177, 0.10117112751464688, 0.1011772668298863, 0.1011835756724416, 0.10119005628943879, 0.10119671097084397, 0.10120354204834381, 0.10121055189410183, 0.10121774291937946, 0.10122511757301414, 0.10123267833974164, 0.10124042773835404, 0.10124836831967796, 0.1012565026643658, 0.1012648333804799, 0.10127336310086309, 0.10128209448027652, 0.10129103019229045, 0.10130017292591345, 0.10130952538194121, 0.10131909026901001, 0.10132887029933384, 0.10133886818410907, 0.10134908662856411, 0.10135952832663685, 0.10137019595525461, 0.10138109216819929, 0.10139221958953135, 0.10140358080655132, 0.10141517836227525, 0.10142701474739937, 0.1014390923917297, 0.10145141365505056, 0.10146398081741059, 0.10147679606879662, 0.10148986149817424, 0.10150317908186911, 0.10151675067126668, 0.10153057797980607, 0.10154466256924656, 0.10155900583519038, 0.10157360899183744, 0.10158847305596359, 0.10160359883010411, 0.10161898688493771, 0.10163463754086184, 0.10165055084876432, 0.10166672656999108, 0.10168316415552565, 0.10169986272439786, 0.10171682104134719, 0.10173403749378117, 0.10175151006806785, 0.10176923632522968, 0.10178721337610171, 0.10180543785604054, 0.1018239058992883, 0.10184261311310107, 0.10186155455178494, 0.10188072469078825, 0.10190011740103141, 0.10191972592367082, 0.1019395428455213, 0.10195956007539052, 0.10197976882159705, 0.10200015957098198, 0.10202072206974787, 0.10204144530649387, 0.1020623174978377, 0.10208332607706133, 0.10210445768623209, 0.10212569817229647, 0.10214703258766027, 0.10216844519580701, 0.10218991948252626, 0.10221143817334674, 0.10223298325778894, 0.10225453602106317, 0.10227607708385074, 0.10229758645080091, 0.10231904356837747, 0.10234042739266495, 0.10236171646773017, 0.10238288901508721, 0.10240392303477892, 0.10246597306963776, 0.10252598932491989, 0.10258342318364826, 0.10263781164601532, 0.10268883195056465, 0.10273636306394177, 0.10278055140532588, 0.10282187748655031, 0.10286121997758535, 0.10289991427876559, 0.10293980413427124, 0.10298328715688235, 0.10303335821365379, 0.10309365822842113, 0.10316853991254631, 0.10326316626043322, 0.10338366273146382, 0.10353735082843213, 0.10373310100803824, 0.10398185945683096, 0.10429743119540974, 0.1046976499166226, 0.1052061488549946, 0.10585509749481863, 0.10668954787676986, 0.10777457238837017, 0.10920746363095438, 0.11113959614061206, 0.113817871248772, 0.11766881160950944, 0.12348404493260391, 0.13287451253533622, 0.14954160093866145, 0.18349574906320906, 0.26795593737917967, 0.51201989833857153, 0.59150437466750461, 0.26150214258895066, 0.15411505319607327, 0.1197958034436242, 0.10593139565713759, 0.099374914379424903, 0.096071999975737482, 0.094661010683386088, 0.094973520343727746, 0.09807624144053935, 0.10830031689033577, 0.14486453570682797, 0.33360565666610298, 0.74711480558134769, 0.3104403370340561, 0.1881372070054815, 0.14878290782919354, 0.13121934747389319, 0.12168515490662997, 0.11582174279976346, 0.11189292115340911, 0.10909070924167649, 0.10699496562785671, 0.10536859016991537, 0.10406942937575907, 0.10300860723949862, 0.10212940848498035, 0.10139615358957928, 0.10078844260061849, 0.10029872480714606, 0.099932468615355874, 0.099711124101883042, 0.099679105404794383, 0.099917774525320274, 0.10057309393568095, 0.10191230082142608, 0.10444738307129328, 0.10922693965473278, 0.11860110673618476, 0.1384999633137094, 0.18628054819762246, 0.31948007083808089, 0.64601706056190744, 0.66728230563318336, 0.39439116075109976, 0.26239461303394596, 0.20324817495705261, 0.17273998339225707, 0.15496906116858994, 0.14363523470534253, 0.13589998276669357, 0.13033956657108767, 0.12617626024624409, 0.12295527468681706, 0.12039557684565823, 0.118315440428609, 0.11659281807257466, 0.1151430767944933, 0.11390590190056894, 0.11283728483916181, 0.11190445152305802, 0.11108255492448477, 0.11035246085673849, 0.10969923067144349, 0.10911105963827852, 0.10857852010514946, 0.10809401270835682, 0.1076513622439737, 0.10724551582105155, 0.10687231444185626, 0.10652831803242656, 0.10621066988011253, 0.10591699046624464, 0.10564529346365559, 0.10539391861556882, 0.10516147759324014, 0.10494680992167719, 0.10474894678385513, 0.10456708104403295, 0.10440054222484266, 0.10424877546872273, 0.10411132373857077, 0.10398781268405248, 0.10387793773215639, 0.10378145306310588, 0.10369816221256659, 0.10362791010343746, 0.10357057635923658, 0.10352606978906816, 0.10349432396372943, 0.10347529382542506, 0.10346895329135176, 0.10347318002836729, 0.10348586247488668, 0.10350700745192412, 0.10353662671012806, 0.10357473750438718, 0.10362136340071447, 0.10367653531813467, 0.10374029280944788, 0.10381268558621209, 0.10389377529510674, 0.10398363755508076, 0.10408236426744644, 0.10419006621440514, 0.10430687596547875, 0.10443295111606862, 0.10456847788794613, 0.10471367512807846, 0.10486879874984709, 0.10503414666969506, 0.10521006430264511, 0.1053969506922149, 0.10559526536429056, 0.10580553601074935, 0.10602836712746043, 0.10626444975304676, 0.10651457247994651, 0.1067796339383303, 0.10706065698676848, 0.10735880488171237, 0.10767539974125777, 0.10801194366755604, 0.10837014294661995, 0.10875193580359101, 0.10915952425439839, 0.10959541065846504, 0.11006243963676536, 0.11056384606700349, 0.11110330988984507, 0.11168501843628692, 0.11231373688470216, 0.11299488722861475, 0.11373463571087683, 0.11453998795049926, 0.11541888980057388, 0.11638033010876789, 0.11743443869614359, 0.11859256860216474, 0.11986734540553129, 0.12127265752320823, 0.12282354901325115, 0.124535959788385, 0.12642623685004592, 0.12851031469046839, 0.13080243594233437, 0.13331326103377356, 0.13604721059536912, 0.13899891807178305, 0.14214877396589842, 0.14545775572943631, 0.14886209021381397, 0.15226878467343624, 0.15555360265610174, 0.1585634432639795, 0.16112497336263179, 0.16306041303403002, 0.16420945894770717, 0.16445382965168795, 0.16373881250657377, 0.16208572220843109, 0.15959109055919954, 0.15641226105001083, 0.15274325052497167, 0.14878736042710672, 0.1447330399141078, 0.14073730888065816, 0.13691800398553478, 0.13335359772743494, 0.13008806115440755, 0.12713813644572997, 0.12450098476329477, 0.12216098064009064, 0.12009511957792629, 0.11827697199836618, 0.1166793643730452, 0.11527605944334472, 0.11404270762105399, 0.1129573001264831, 0.11200030115813478, 0.11115458655584719, 0.11040527586384215, 0.10973951431136561, 0.10914623972003794, 0.10861595478117508, 0.10814051565239374, 0.10771294186301192, 0.10732724893247908, 0.10697830306717573, 0.10666169623954974, 0.10637363949050976, 0.10611087218470863, 0.10587058503249538, 0.10565035487507572, 0.10544808945274706, 0.105261980606446, 0.1050904645821058, 0.10493218830662356, 0.10478598068025854, 0.10465082808279996, 0.10452585342133011, 0.10441029815803478, 0.10430350684976609, 0.10420491380935155, 0.10411403156420268, 0.10403044084261459, 0.10395378186397505, 0.10388374674740242, 0.10382007288534931, 0.10376253715548069, 0.10371095086652751, 0.10366515535254914, 0.10362501814570381, 0.1035904296707356, 0.10356130041532521, 0.1035375585396226, 0.10351914789592061, 0.1035060264358556, 0.10349816498794308, 0.10349554639286367], [0.10494094615058885, 0.10494678572071063, 0.10496432048138503, 0.10499359916731721, 0.1050347049649387, 0.10508775851234931, 0.10515292221730113, 0.10523040602089062, 0.10532047478564267, 0.10542345755031766, 0.1055397589749489, 0.10566987340486837, 0.10581440212093925, 0.10597407452747779, 0.10614977427735496, 0.10634257167132032, 0.10655376413337189, 0.10678492721165916, 0.10703797946866067, 0.10731526593288042, 0.10761966668498227, 0.1079547399568956, 0.10832491333642867, 0.10873574312078647, 0.10919427194467773, 0.10970953093141998, 0.11029325905837356, 0.11096095703619324, 0.11173347066671736, 0.11263943876706305, 0.11371920401162017, 0.11503130323762763, 0.11666373040006697, 0.11875454913748715, 0.12153212634652838, 0.12540017904804318, 0.13113669814762005, 0.14042536745550213, 0.15755895471009429, 0.19654012858352793, 0.32403570649494073, 0.73117465049271291, 0.24315734372985054, 0.12544146647213594, 0.10462186489661773, 0.099455806947533129, 0.098187769766396038, 0.098146412803266261, 0.098535344871176711, 0.099075535585839522, 0.099659766496918378, 0.10024534760003932, 0.10081587000536174, 0.1013661420435816, 0.10189580737877596, 0.10240649256874035, 0.10290048035512278, 0.10338007194234328, 0.10384726857316041, 0.10430360187549535, 0.10475003218885723, 0.10518687672861779, 0.10561375104698588, 0.10602951921025777, 0.10643225558028666, 0.10681922632792407, 0.10718690260720681, 0.10753101961055186, 0.10784669589615808, 0.10812862455172008, 0.10837134114559309, 0.10856956279127709, 0.10871857885705519, 0.1088146591413731, 0.10885543325376407, 0.10884018956323604, 0.10877004662880252, 0.10864796537993221, 0.10847859406325257, 0.10826796475596789, 0.10802308340109919, 0.10775146920792993, 0.10746070121393635, 0.10715802078216485, 0.10685002260005756, 0.10654244827017828, 0.10624008016113196, 0.1059467214729547, 0.10566524224309519, 0.10539766961000442, 0.10514530264156222, 0.10490883587648747, 0.10468848013743128, 0.10448407329684586, 0.10429517706183751, 0.10412115835264782, 0.10396125553418441, 0.10381463076778003, 0.10368041025364504, 0.1035577142928468, 0.10344567904069904, 0.10334347164724057, 0.10325030025086364, 0.10316542005005939, 0.10308813645000089, 0.1030178060775734, 0.10295383628518943, 0.10289568362027182, 0.10284285162131097, 0.10279488820934825, 0.10275138287182994, 0.10271196378036096, 0.10267629494173337, 0.102644073449922, 0.10261502688323113, 0.10258891087358007, 0.1025655068625401, 0.10254462005000151, 0.10252607753537041, 0.10250972664724491, 0.10249543345508139, 0.10248308145502052, 0.10247257042150455, 0.10246381541633615, 0.10245674594726432, 0.10245130526888795, 0.10244744981956524, 0.10244514878904834, 0.10244438381266648, 0.10244450718988511, 0.10244487746668759, 0.10244549507874576, 0.10244636075295163, 0.10244747550858033, 0.10244884065892026, 0.10245045781337898, 0.10245232888006753, 0.10245445606887231, 0.10245684189502319, 0.1024594891831668, 0.10246240107195696, 0.10246558101917738, 0.10246903280740527, 0.10247276055024103, 0.10247676869911206, 0.10248106205067803, 0.10248564575485328, 0.10249052532347318, 0.10249570663962725, 0.10250119596768502, 0.10250699996404856, 0.10251312568865624, 0.10251958061727603, 0.10252637265462246, 0.10253351014833607, 0.10254100190386621, 0.1025488572003006, 0.10255708580719101, 0.10256569800242141, 0.10257470459117499, 0.10258411692605547, 0.1025939469284235, 0.10260420711101312, 0.10261491060189526, 0.10262607116986419, 0.10263770325132206, 0.10264982197874561, 0.10266244321082151, 0.10267558356434682, 0.10268926044799158, 0.10270349209803024, 0.10271829761615556, 0.10273369700949531, 0.10274971123295852, 0.10276636223405086, 0.10278367300030158, 0.10280166760946187, 0.10282037128263737, 0.10283981044053683, 0.10286001276302736, 0.10288100725220112, 0.10290282429917651, 0.10292549575487148, 0.10294905500500946, 0.10297353704963658, 0.10299897858745717, 0.10302541810532088, 0.10305289597322694, 0.10308145454524968, 0.10311113826683196, 0.10314199378894459, 0.10317407008966445, 0.10320741860380103, 0.10324209336127857, 0.10327815113507666, 0.10331565159965972, 0.10335465750095285, 0.10339523483910393, 0.10343745306546751, 0.10348138529550116, 0.10352710853956368, 0.10357470395397153, 0.10362425711512717, 0.10367585832007024, 0.10372960291748896, 0.10378559167404879, 0.10384393118191355, 0.10390473431458612, 0.10396812073973834, 0.10403421749959574, 0.10410315967179865, 0.1041750911265575, 0.10425016539951609, 0.1043285467041862, 0.10441041111333793, 0.10449594794558434, 0.10458536140192493, 0.10467887250762165, 0.10477672142800755, 0.10487917024335633, 0.10498650628858484, 0.10509904618945808, 0.10521714075943962, 0.1053411809621983, 0.10547160519626433, 0.10560890822336685, 0.10575365214427078, 0.10590647993030071, 0.10606813215128583, 0.10623946770927623, 0.10642148960192838, 0.10661537701234959, 0.10682252536848308, 0.1070445964522799, 0.10728358118588022, 0.10754187839541196, 0.10782239365968556, 0.10812866327097971, 0.10846500928715636, 0.10883673242825417, 0.10925034969433249, 0.10971388206786684, 0.11023719253845771, 0.11083236212462803, 0.11151406438983649, 0.11229984421252111, 0.11321010228552827, 0.11426739947406934, 0.11549438487895537, 0.11690920526819099, 0.11851679365746499, 0.1202944702569767, 0.12217207880039142, 0.12401233250038526, 0.12560642571226763, 0.12670620236494889, 0.12710078143162767, 0.12670620236494939, 0.12560642571226777, 0.12401233250038375, 0.12217207880039099, 0.12029447025697658, 0.11851679365746176, 0.11690920526819201, 0.11549438487895596, 0.11426739947407072, 0.11321010228552958, 0.11229984421252058, 0.1115140643898356, 0.11083236212462792, 0.11023719253845789, 0.10971388206786684, 0.10925034969433292, 0.10883673242825377, 0.10846500928715538, 0.10812866327098007, 0.10782239365968597, 0.10754187839541185, 0.10728358118588043, 0.10704459645227977, 0.10682252536848312, 0.10661537701234963, 0.10642148960192821, 0.10623946770927638, 0.10606813215128574, 0.10590647993030067, 0.10575365214427111, 0.10560890822336676, 0.10547160519626432, 0.10534118096219841, 0.1052171407594398, 0.10509904618945805, 0.10498650628858468, 0.10487917024335625, 0.10477672142800762, 0.1046788725076216, 0.10458536140192506, 0.10449594794558448, 0.10441041111333779, 0.10432854670418634, 0.10425016539951612, 0.10417509112655735, 0.1041031596717986, 0.10403421749959579, 0.10396812073973842, 0.10390473431458613, 0.10384393118191369, 0.10378559167404887, 0.1037296029174888, 0.10367585832007012, 0.10362425711512721, 0.10357470395397154, 0.10352710853956353, 0.10348138529550129, 0.10343745306546751, 0.10339523483910378, 0.10335465750095271, 0.10331565159965961, 0.10327815113507663, 0.10324209336127854, 0.1032074186038012, 0.10317407008966442, 0.10314199378894467, 0.10311113826683196, 0.10308145454524957, 0.10305289597322685, 0.103025418105321, 0.10299897858745714, 0.10297353704963649, 0.1029490550050095, 0.10292549575487159, 0.10290282429917666, 0.1028810072522011, 0.10286001276302734, 0.10283981044053685, 0.10282037128263724, 0.10280166760946188, 0.10278367300030176, 0.10276636223405081, 0.10274971123295845, 0.10273369700949528, 0.10271829761615561, 0.10270349209803026, 0.10268926044799163, 0.10267558356434678, 0.10266244321082137, 0.10264982197874561, 0.1026377032513221, 0.10262607116986421, 0.10261491060189518, 0.10260420711101315, 0.10259394692842363, 0.10258411692605555, 0.10257470459117488, 0.10256569800242139, 0.10255708580719088, 0.10254885720030055, 0.10254100190386628, 0.10253351014833616, 0.10252637265462237, 0.10251958061727598, 0.10251312568865617, 0.10250699996404852, 0.10250119596768517, 0.1024957066396272, 0.1024905253234733, 0.10248564575485342, 0.10248106205067806, 0.10247676869911203, 0.10247276055024107, 0.10246903280740548, 0.10246558101917733, 0.1024624010719571, 0.1024594891831668, 0.10245684189502322, 0.10245445606887235, 0.10245232888006749, 0.10245045781337897, 0.10244884065892035, 0.10244747550858024, 0.1024463607529517, 0.10244549507874581, 0.10244487746668764, 0.10244450718988515, 0.10244438381266628, 0.10244444549728113, 0.10244463057574923, 0.1024449391219474, 0.10244537125901933, 0.10244592715940146, 0.10244660704485763, 0.10244741118652181, 0.10244833990495257, 0.10244939357019547, 0.10245057260185315, 0.10245187746916537, 0.10245330869109476, 0.10245486683642237, 0.10245655252384629, 0.10245836642208919, 0.1024603092500089, 0.10246238177671464, 0.10246458482168476, 0.10246691925488915, 0.1024693859969092, 0.10247198601906236, 0.1024747203435209, 0.10247759004343023, 0.10248059624302261, 0.1024837401177244, 0.10248702289425581, 0.10249044585072022, 0.10249401031668352, 0.10249771767323732, 0.10250156935304652, 0.10250556684037891, 0.10250971167111181, 0.10251400543271445, 0.1025184497642023, 0.10252304635606158, 0.10252779695013685, 0.10253270333948217, 0.10253776736816723, 0.10254299093103876, 0.10254837597342906, 0.10255392449080628, 0.10255963852836621, 0.10256552018055223, 0.10257157159050502, 0.10257779494942877, 0.10258419249587346, 0.10259076651492088, 0.1025975193372695, 0.1026044533382089, 0.10261157093647537, 0.10261887459298037, 0.10262636680940036, 0.10263405012661937, 0.10264192712301243, 0.10265000041255933, 0.10265827264277506, 0.10266674649244735, 0.10267542466916221, 0.10268430990661052, 0.10269340496165505, 0.10270271261114504, 0.10271223564846167, 0.10272197687977644, 0.1027319391200065, 0.1027421251884456, 0.10275253790405448, 0.10276318008038698, 0.10277405452013517, 0.10278516400926681, 0.10279651131073834, 0.10280809915775568, 0.10281993024656187, 0.10283200722872686, 0.1028443327029151, 0.102856909206105, 0.10286973920423578, 0.10288282508225757, 0.10289616913355686, 0.10290977354873485, 0.10292364040371238, 0.10293777164713942, 0.10295216908708527, 0.10296683437698607, 0.10298176900083553, 0.10299697425759342, 0.10301245124480432, 0.10302820084140815, 0.10304422368973952, 0.1030605201767061, 0.10307709041415351, 0.10309393421841634, 0.1031110510890737, 0.1031284401869277, 0.1031461003112326, 0.10316402987621794, 0.10318222688694643, 0.10320068891457836, 0.1032194130711077, 0.10323839598366222, 0.10325763376847365, 0.10327712200463617, 0.10329685570779855, 0.10331682930394658, 0.10333703660346417, 0.10335747077567628, 0.10337812432410687, 0.10339898906271405, 0.10342005609338453, 0.10344131578500571, 0.10346275775446269, 0.10348437084993929, 0.10350614313692692, 0.10352806188739105, 0.10355011357256172, 0.10357228385985903, 0.10359455761448313, 0.10361691890623602, 0.1036393510221629, 0.10366183648562434, 0.10368435708243125, 0.1037068938946844, 0.10372942734297373, 0.10375193723758649, 0.10377440283937389, 0.10379680293090277, 0.10381911589850272, 0.10384131982577076, 0.10386339259906074, 0.10392860246666152, 0.10399184423413767, 0.10405257342827975, 0.10411033722732872, 0.10416483115805608, 0.10421596297830368, 0.10426392112171531, 0.10430924441793887, 0.10435288967338918, 0.10439629434049107, 0.10444143306289191, 0.10449086937129953, 0.10454780709694354, 0.10461614997701442, 0.10470058231905872, 0.10480668857217396, 0.10494113575502688, 0.10511195110603545, 0.10532894022365935, 0.10560431208950441, 0.10595361316797475, 0.10639713482440885, 0.10696206832825746, 0.10768588248931328, 0.10862177884779908, 0.10984783019304344, 0.11148297123483356, 0.11371646865636587, 0.11686572286617133, 0.12149858427245849, 0.12871783175991161, 0.14090719443038999, 0.16401606832220347, 0.21606243731739416, 0.36350244123492453, 0.67115286793728346, 0.37642721945484087, 0.1836290051693231, 0.12939278949758884, 0.10992104345646392, 0.10131729820721065, 0.096979846846356521, 0.09467925070455753, 0.093636869692121594, 0.0938013866716782, 0.095948714561188392, 0.10299608858563178, 0.12679451772056319, 0.23703504164651737, 0.76026006646509525, 0.39532666929406052, 0.21106843169850553, 0.15860623018603842, 0.13690582817871458, 0.12564419149994666, 0.11891614084372176, 0.1144969109270281, 0.11138973970610117, 0.10909016139491678, 0.10731900287463117, 0.10591112118711164, 0.10476398497599475, 0.10381200561565364, 0.10301304994026836, 0.10234127246333082, 0.10178363172814157, 0.10133899437157826, 0.10101965599827956, 0.10085595458007419, 0.10090588593011383, 0.10127402946811404, 0.10214947451428562, 0.1038857199069822, 0.10718144926681727, 0.11352892690136469, 0.12646249589423458, 0.15556021381785065, 0.23118506071853112, 0.4505113932985742, 0.75766781953049323, 0.52581680083523807, 0.31925566898498964, 0.23031501087842002, 0.18789026824222166, 0.16463157800332653, 0.15044177450598445, 0.14107197368029756, 0.13450440986586126, 0.12968327574542537, 0.12601194775063992, 0.12313181815292461, 0.12081621854552943, 0.118915782618989, 0.11732858185583982, 0.11598296416146496, 0.11482726234950613, 0.11382339135904528, 0.11294273540625174, 0.11216343092694681, 0.11146852653483344, 0.11084470907390788, 0.1102814039572601, 0.10977012836618646, 0.1093040186287587, 0.10887747970919312, 0.10848592168419044, 0.10812555909513084, 0.10779325635789656, 0.10748640732574723, 0.10720284046458137, 0.10694074343730696, 0.10669860254081437, 0.10647515361452126, 0.10626934188889559, 0.10608028886340198, 0.10590726476244892, 0.10574966546092235, 0.10560699302966389, 0.10547883924828456, 0.10536487158385263, 0.10526482125081396, 0.10517847305816923, 0.10510565682057076, 0.10504624016510139, 0.1050001226084101, 0.10496723081231457, 0.1049475149519264, 0.10494094615058885, 0.10494532504375961, 0.10495846430619472, 0.10498037180948294, 0.1050110610827419, 0.10505055192883121, 0.1050988712901819, 0.10515605436769665, 0.10522214599758492, 0.10529720229276562, 0.10538129255764236, 0.10547450148771317, 0.10557693166872811, 0.1056887063940254, 0.10580997282336879, 0.10594090551220435, 0.10608171034685744, 0.10623262892901435, 0.10639394346196668, 0.10656598220186494, 0.10674912554980323, 0.10694381287527754, 0.10715055017880874, 0.107369918721679, 0.10760258477438135, 0.10784931066304951, 0.10811096732557282, 0.1083885486271117, 0.10868318772918929, 0.10899617585848877, 0.10932898388200127, 0.10968328716531388, 0.11006099427162522, 0.11046428015120148, 0.11089562457455962, 0.11135785667677017, 0.11185420660201786, 0.11238836536108175, 0.11296455412884546, 0.11358760429555169, 0.11426304961345971, 0.11499723170020933, 0.11579741989363959, 0.11667194587978935, 0.11763035245352335, 0.11868355394639681, 0.11984400286744809, 0.12112585257172585, 0.12254509848990203, 0.12411966952952468, 0.12586942530518816, 0.12781599226018733, 0.12998234096421002, 0.13239196714765258, 0.13506749183000433, 0.13802844752490676, 0.14128798323285041, 0.14484823047562817, 0.14869417519850534, 0.15278614438276944, 0.15705151385215765, 0.16137700701521096, 0.16560389469034489, 0.16952921785592723, 0.17291627587521535, 0.17551637903401457, 0.17710089024233144, 0.17749838493793835, 0.17662799385297032, 0.17451890747751808, 0.17130906648649549, 0.16722255022039631, 0.16253222730111233, 0.15751843393019022, 0.15243405447610145, 0.14748229821306599, 0.14280827871943158, 0.13850160255458965, 0.13460555319721199, 0.1311287491349237, 0.12805640678934946, 0.12535970830552881, 0.12300281538972756, 0.12094768320343428, 0.11915709499942599, 0.1175963886873241, 0.11623429034629086, 0.11504317744346616, 0.11399900316883146, 0.11308103789045541, 0.11227152741039587, 0.11155532833406485, 0.11091955469880105, 0.11035325334900126, 0.10984711538265976, 0.10939322509303837, 0.10898484462811983, 0.10861623104308341, 0.10828248184852146, 0.1079794051314641, 0.10770341058466179, 0.1074514181656388, 0.1072207815310505, 0.10700922380526169, 0.10681478362078316, 0.10663576970256926, 0.10647072255649707, 0.10631838206707968, 0.10617766001501835, 0.10604761669663444, 0.10592744096952249, 0.10581643316656456, 0.10571399041780669, 0.1056195940001194, 0.10553279840102646, 0.10545322183802357, 0.10538053802019536, 0.10531446897662222, 0.10525477880734418, 0.10520126823861958, 0.10515376988580742, 0.10511214414515807, 0.10507627565074287, 0.10504607024517032, 0.10502145242310072, 0.10500236321517729, 0.10498875848719919, 0.10498060763543091, 0.10497789266407644], [0.10634377792084873, 0.10634982548079429, 0.10636798534008485, 0.10639830966075012, 0.10644088747589546, 0.10649584789670478, 0.10656336473144599, 0.10664366265628686, 0.106737025133758, 0.10684380434473406, 0.10696443348930561, 0.10709944192823145, 0.10724947379005539, 0.10741531087365494, 0.10759790095227234, 0.10779839296228153, 0.10801818108104382, 0.10825896042694802, 0.10852279814740186, 0.10881222514466121, 0.10913035585484523, 0.10948104670753615, 0.10986910874345558, 0.110300597335418, 0.110783213703818, 0.11132687183358042, 0.11194451566603233, 0.11265332464609867, 0.11347653925385084, 0.11444630881421959, 0.1156082886259642, 0.11702936211953549, 0.11881123481826616, 0.1211157449977147, 0.12421532098523243, 0.12860250120354247, 0.1352550229013246, 0.1463773362186076, 0.1679366511220716, 0.22128833615574983, 0.41990893570608745, 0.63646164347641199, 0.1869159299910651, 0.11774889600756072, 0.10377592454280994, 0.10016505413005002, 0.099365501240810186, 0.099490502778715975, 0.09994489124665927, 0.10051292820758985, 0.10111023123165255, 0.10170316558862966, 0.10227915025621899, 0.102834676708285, 0.10337014047743687, 0.10388749920966946, 0.10438917120094189, 0.10487749978711851, 0.10535448101772206, 0.10582161337616926, 0.10627980210146337, 0.10672928630838036, 0.10716957555809943, 0.10759939311641736, 0.10801663009409986, 0.10841831983905997, 0.10880064590973712, 0.10915899947404401, 0.10948810228421284, 0.1097822084318468, 0.11003539094262096, 0.11024190759981785, 0.11039662506698165, 0.11049546389587052, 0.11053581334298709, 0.11051685870171901, 0.11043976878653132, 0.11030770830615301, 0.11012566641973026, 0.10990012269300216, 0.1096385973994211, 0.10934914829887339, 0.10903987775600904, 0.10871850355309098, 0.10839202840066969, 0.10806652253712391, 0.10774701574901326, 0.10743748250739862, 0.10714089744129808, 0.10685933720410733, 0.10659410728433391, 0.1063458767267636, 0.10611480865724295, 0.10590067902606616, 0.10570297964110696, 0.10552100422941041, 0.10535391802544378, 0.10520081241011486, 0.1050607466126839, 0.10493277861420931, 0.10481598729681704, 0.10470948767037999, 0.10461244074625548, 0.10452405935971576, 0.10444361099299226, 0.10437041843118611, 0.1043038588975958, 0.10424336216244766, 0.10418840799650268, 0.10413852324437832, 0.10409327871737771, 0.10405228604812153, 0.10401519460578554, 0.10398168853825986, 0.10395148398359229, 0.1039243264756818, 0.10389998855677589, 0.10387826760065293, 0.1038589838445164, 0.10384197862383261, 0.10382711280207924, 0.10381426538620285, 0.10380333231821831, 0.10379422543356412, 0.1037868715774156, 0.10378121187100645, 0.10377720112103919, 0.10377480736641786, 0.10377401155775991, 0.10377414013016158, 0.10377452599900946, 0.10377516961947725, 0.10377607175100285, 0.10377723345851614, 0.10377865611415979, 0.10378034139951231, 0.10378229130831711, 0.10378450814972531, 0.1037869945520641, 0.10378975346713851, 0.10379278817507993, 0.10379610228975797, 0.10379969976476426, 0.10380358489999603, 0.10380776234884745, 0.10381223712603826, 0.10381701461609726, 0.10382210058252807, 0.10382750117768411, 0.10383322295337774, 0.10383927287226317, 0.10384565832001759, 0.1038523871183632, 0.10385946753896645, 0.10386690831825668, 0.10387471867320877, 0.10388290831813678, 0.10389148748255238, 0.10390046693013792, 0.10390985797889718, 0.10391967252254282, 0.10392992305318752, 0.10394062268541089, 0.10395178518177434, 0.10396342497986871, 0.10397555722097616, 0.10398819778044083, 0.10400136329984268, 0.10401507122108219, 0.10402933982248376, 0.10404418825703675, 0.10405963659290196, 0.10407570585631666, 0.10409241807704379, 0.10410979633651929, 0.10412786481886192, 0.10414664886492539, 0.10416617502957862, 0.10418647114242274, 0.10420756637216266, 0.10422949129487051, 0.1042522779663974, 0.10427595999921049, 0.10430057264395862, 0.10432615287609175, 0.10435273948789579, 0.10438037318633375, 0.10440909669712624, 0.10443895487554936, 0.10446999482448076, 0.10450226602028542, 0.10453582044720239, 0.10457071274098124, 0.10460700034261423, 0.10464474366312376, 0.10468400626051408, 0.10472485503014993, 0.10476736041004078, 0.10481159660273466, 0.10485764181583183, 0.10490557852347077, 0.10495549375157275, 0.10500747939015523, 0.10506163253665192, 0.10511805587496656, 0.10517685809593093, 0.10523815436600908, 0.10530206685252431, 0.10536872531545101, 0.1054382677779831, 0.10551084129078084, 0.10558660280810524, 0.10566572019815203, 0.10574837341497539, 0.10583475586569337, 0.10592507601449208, 0.10601955927469409, 0.10611845025229004, 0.10622201541949594, 0.10633054631586712, 0.10644436339825787, 0.10656382069078515, 0.10668931142353059, 0.1068212748961611, 0.10696020486265605, 0.10710665980947486, 0.10726127559633172, 0.10742478105226599, 0.10759801727760962, 0.10778196160484137, 0.10797775743109367, 0.10818675146885383, 0.1084105403900778, 0.10865102938805571, 0.10891050588101051, 0.10919173246334207, 0.10949806430178927, 0.10983359748059025, 0.11020335627193362, 0.11061352876657601, 0.11107176128840165, 0.11158752151059596, 0.11217253602807614, 0.11284129594836832, 0.11361159529999347, 0.1145050056590794, 0.11554706770585649, 0.11676674971778955, 0.11819432110828061, 0.11985617068873101, 0.1217643694881656, 0.12389853816373667, 0.12617951221062321, 0.12844129688118086, 0.13042110765767714, 0.13179796373448632, 0.1322941161103047, 0.13179796373448688, 0.13042110765767745, 0.12844129688117864, 0.12617951221062257, 0.12389853816373664, 0.1217643694881617, 0.11985617068873237, 0.11819432110828133, 0.11676674971779118, 0.11554706770585801, 0.1145050056590788, 0.11361159529999253, 0.1128412959483682, 0.11217253602807632, 0.11158752151059595, 0.11107176128840214, 0.11061352876657564, 0.11020335627193259, 0.10983359748059066, 0.10949806430178967, 0.10919173246334191, 0.10891050588101069, 0.10865102938805554, 0.1084105403900778, 0.1081867514688539, 0.10797775743109346, 0.10778196160484151, 0.10759801727760956, 0.10742478105226598, 0.10726127559633203, 0.10710665980947474, 0.10696020486265602, 0.10682127489616128, 0.10668931142353075, 0.10656382069078511, 0.10644436339825766, 0.10633054631586704, 0.10622201541949601, 0.10611845025229, 0.10601955927469423, 0.10592507601449223, 0.10583475586569319, 0.10574837341497557, 0.10566572019815205, 0.10558660280810511, 0.10551084129078073, 0.10543826777798312, 0.10536872531545106, 0.10530206685252433, 0.10523815436600921, 0.10517685809593105, 0.10511805587496639, 0.10506163253665182, 0.10500747939015527, 0.10495549375157276, 0.10490557852347064, 0.10485764181583192, 0.10481159660273466, 0.10476736041004063, 0.10472485503014979, 0.10468400626051387, 0.1046447436631238, 0.10460700034261421, 0.10457071274098138, 0.10453582044720233, 0.10450226602028549, 0.10446999482448073, 0.10443895487554931, 0.10440909669712613, 0.10438037318633388, 0.10435273948789579, 0.10432615287609166, 0.10430057264395869, 0.10427595999921063, 0.10425227796639755, 0.10422949129487051, 0.1042075663721627, 0.10418647114242269, 0.10416617502957851, 0.10414664886492539, 0.10412786481886208, 0.10410979633651922, 0.10409241807704374, 0.10407570585631662, 0.10405963659290199, 0.10404418825703683, 0.1040293398224838, 0.10401507122108213, 0.10400136329984258, 0.10398819778044084, 0.10397555722097616, 0.10396342497986873, 0.10395178518177428, 0.10394062268541088, 0.10392992305318761, 0.10391967252254286, 0.10390985797889708, 0.10390046693013788, 0.1038914874825522, 0.10388290831813675, 0.10387471867320883, 0.10386690831825671, 0.10385946753896637, 0.10385238711836318, 0.10384565832001752, 0.10383927287226313, 0.10383322295337787, 0.10382750117768404, 0.10382210058252825, 0.10381701461609733, 0.10381223712603833, 0.10380776234884739, 0.10380358489999608, 0.10379969976476446, 0.10379610228975791, 0.10379278817508006, 0.10378975346713851, 0.10378699455206412, 0.10378450814972538, 0.10378229130831705, 0.10378034139951231, 0.1037786561141598, 0.10377723345851604, 0.10377607175100291, 0.1037751696194773, 0.10377452599900956, 0.10377414013016163, 0.10377401155775973, 0.10377407583976933, 0.1037742687113079, 0.10377459024891093, 0.1037750405801543, 0.10377561988368089, 0.10377632838923702, 0.10377716637771733, 0.10377813418122166, 0.1037792321831203, 0.1037804608181276, 0.10378182057238554, 0.10378331198355414, 0.10378493564091094, 0.10378669218545497, 0.10378858231001943, 0.10379060675938787, 0.10379276633041631, 0.10379506187215715, 0.10379749428598803, 0.10380006452573849, 0.10380277359782109, 0.10380562256135753, 0.10380861252830373, 0.10381174466357092, 0.10381502018513961, 0.10381844036416732, 0.10382200652508394, 0.10382572004567875, 0.10382958235716991, 0.10383359494425876, 0.10383775934516525, 0.10384207715164048, 0.10384655000895418, 0.10385117961585373, 0.10385596772449253, 0.10386091614032085, 0.10386602672193911, 0.10387130138090575, 0.10387674208149837, 0.10388235084042138, 0.10388812972645411, 0.10389408086003847, 0.10390020641279349, 0.10390650860695731, 0.10391298971474472, 0.10391965205761698, 0.10392649800545477, 0.10393352997562609, 0.10394075043194152, 0.10394816188348753, 0.10395576688332989, 0.10396356802707375, 0.10397156795127406, 0.10397976933168214, 0.10398817488131805, 0.10399678734835593, 0.1040056095138102, 0.10401464418900601, 0.10402389421282364, 0.10403336244869862, 0.10404305178136225, 0.10405296511330704, 0.10406310536095675, 0.10407347545052754, 0.1040840783135554, 0.10409491688207535, 0.10410599408342756, 0.10411731283467281, 0.10412887603659142, 0.10414068656724676, 0.10415274727508654, 0.10416506097155959, 0.10417763042322373, 0.10419045834331918, 0.10420354738278191, 0.10421690012067142, 0.10423051905398904, 0.10424440658685787, 0.10425856501904247, 0.10427299653378104, 0.10428770318490814, 0.10430268688324394, 0.10431794938222705, 0.10433349226277634, 0.10434931691735656, 0.10436542453324106, 0.1043818160749533, 0.1043984922658845, 0.10441545356907939, 0.10443270016719755, 0.10445023194165197, 0.10446804845094423, 0.10448614890821721, 0.10450453215805453, 0.10452319665257237, 0.10454214042684837, 0.10456136107376138, 0.10458085571831174, 0.10460062099151768, 0.10462065300400025, 0.10464094731937787, 0.10466149892762359, 0.10468230221854757, 0.10470335095559931, 0.10472463825020188, 0.10474615653685873, 0.10476789754930527, 0.10478985229799558, 0.10481201104925617, 0.10483436330646195, 0.10485689779362853, 0.10487960244183642, 0.1049024643789505, 0.10492546992311579, 0.10494860458055644, 0.10497185304822131, 0.10499519922186187, 0.10501862621014516, 0.10504211635543165, 0.1050656512618667, 0.10508921183144487, 0.10511277830872109, 0.10513633033483392, 0.10515984701150925, 0.10518330697568719, 0.10520668848539884, 0.10522996951747175, 0.10525312787760516, 0.10532164509072502, 0.10538827127445988, 0.10545246744008289, 0.10551379262636816, 0.10557196278777164, 0.10562691722083309, 0.10567888992669985, 0.1057284826697803, 0.10577673641350144, 0.10582519853740227, 0.10587598492017752, 0.10593183863434268, 0.10599619053774878, 0.1060732313096862, 0.10616800939511645, 0.10628657509688569, 0.10643619840705412, 0.10662569860575512, 0.10686593992637783, 0.10717057447988394, 0.10755715960901049, 0.10804885742443525, 0.10867706927092685, 0.1094856273465265, 0.11053768682363546, 0.11192751880910262, 0.11380167269730138, 0.1163991794528549, 0.12013339048390317, 0.12577338974398444, 0.13489173756169331, 0.15113374675644176, 0.18452649788212996, 0.26953152323257201, 0.52700926983245755, 0.57222074270057599, 0.24053088711576207, 0.14555455932980002, 0.11611574777671696, 0.10434838926209157, 0.098744011050802258, 0.095753173216581625, 0.094082642667197888, 0.093269932346550802, 0.093318306550092656, 0.094803052534165905, 0.099748826584045311, 0.11576751853181609, 0.1825977252300337, 0.58256540984051752, 0.52539748087250393, 0.24274514343014642, 0.17067113704725537, 0.1433936762958857, 0.129949608128196, 0.12217482010782624, 0.11717968156048159, 0.11372273598979524, 0.11119404256875721, 0.10926326133898517, 0.10773797775202068, 0.10649988134123245, 0.10547347216835987, 0.10460975710545252, 0.10387749576573492, 0.10325864930372856, 0.10274654355755108, 0.10234626211913961, 0.10207754377241393, 0.10198138033404755, 0.10213312928956213, 0.10266838978290101, 0.10383599820991085, 0.10611343144218267, 0.11047942721482405, 0.11912816479384453, 0.13759818734155152, 0.18215205181379004, 0.3078103683349086, 0.63631743257117035, 0.693658337038077, 0.40781295834324688, 0.26905787521928004, 0.20780839827795231, 0.17652098040340319, 0.15840125550190381, 0.14688522706380899, 0.13904229521303524, 0.13341163495233271, 0.12919875162433017, 0.12594052849014242, 0.12335146527393295, 0.12124728026875028, 0.11950438323524722, 0.11803716629530527, 0.11678467476718181, 0.11570246643571759, 0.11475746570042906, 0.11392461165753362, 0.11318461620714425, 0.11252242898564645, 0.11192616400273969, 0.11138633482555646, 0.11089530023020543, 0.11044685610240339, 0.11003593068488091, 0.10965835397970382, 0.10931068110721241, 0.10899005543011936, 0.10869410133063583, 0.10842083934190962, 0.10816861830348112, 0.10793606060642398, 0.10772201759645719, 0.1075255329321308, 0.10734581223106167, 0.10718219773546803, 0.10703414702724925, 0.10690121504947192, 0.10678303886423184, 0.1066793247101345, 0.10658983702573523, 0.10651438918538225, 0.10645283575626836, 0.10640506613402147, 0.10637099945197118, 0.1063505806886214, 0.10634377792084873, 0.10634831276790339, 0.10636192027425642, 0.10638460946716441, 0.10641639583153144, 0.10645730197102549, 0.10650735853757358, 0.10656660543353509, 0.10663509329255694, 0.1067128852472331, 0.10680005899426642, 0.10689670917096659, 0.10700295006074287, 0.10711891864984706, 0.10724477806313601, 0.10738072141320443, 0.10752697610502746, 0.10768380864751885, 0.10785153003428299, 0.10803050176872768, 0.10822114262386301, 0.10842393624498563, 0.10863943972457317, 0.10886829330362623, 0.10911123138322897, 0.10936909506503448, 0.10964284648085119, 0.10993358522075811, 0.11024256722767131, 0.11057122659580637, 0.1109212007930297, 0.1112943599249399, 0.11169284077418304, 0.11211908648457942, 0.11257589291861447, 0.11306646290077986, 0.11359446976886152, 0.11416413188904853, 0.11478030004284859, 0.11544855985099343, 0.11617535163646475, 0.11696811030008465, 0.11783542781072412, 0.118787240671028, 0.11983504400410436, 0.1209921323942908, 0.12227386480642401, 0.12369794604446714, 0.1252847091665234, 0.12705737042578508, 0.12904220840692665, 0.13126858913874664, 0.13376871562099904, 0.1365769200897812, 0.13972823903506199, 0.143255918601979, 0.14718740789241386, 0.15153834878188549, 0.15630413759931611, 0.16144893496698601, 0.16689268570723878, 0.17249790101305698, 0.17805959821980041, 0.18330345801328912, 0.18789798380639663, 0.19148491596583392, 0.19372743721021465, 0.19436842743905089, 0.19328405954221345, 0.19051559221996139, 0.18626722278950006, 0.18086921288222646, 0.17471787057194837, 0.16821098892122918, 0.16169591463082697, 0.15543959730616802, 0.14962082612418146, 0.14433869480762748, 0.13962948167240533, 0.13548543102109789, 0.13187144205164539, 0.12873798860443864, 0.12603012643264574, 0.12369320238087721, 0.12167610471211929, 0.11993283676542499, 0.11842303183219646, 0.11711185084688008, 0.11596955637494916, 0.11497094628961933, 0.11409475482748484, 0.11332307957474344, 0.11264086257041715, 0.11203543585076396, 0.11149613185550873, 0.11101395408369789, 0.11058130121946629, 0.11019173738861986, 0.10983980149216239, 0.10952084924376077, 0.10923092236035689, 0.10896664018226382, 0.10872510976374594, 0.10850385114943553, 0.10830073512962322, 0.10811393125313599, 0.10794186427980866, 0.10778317758668429, 0.10763670231416358, 0.10750143126050446, 0.10737649671419057, 0.10726115156126251, 0.10715475312499204, 0.10705674929341558, 0.10696666657044636, 0.10688409975192799, 0.10680870298184851, 0.10674018198819506, 0.10667828733438739, 0.10662280855230585, 0.10657356904778083, 0.10653042168996477, 0.10649324501303413, 0.1064619399727489, 0.10643642721210168, 0.10641664479997129, 0.1064025464147805, 0.10639409995193491, 0.10639128653954763], [0.1075332463376273, 0.10753950675056857, 0.10755830641493581, 0.10758970127451864, 0.10763378681201773, 0.10769070148208452, 0.10776063165933505, 0.10784381825484728, 0.10794056521635688, 0.10805125020464504, 0.10817633783758671, 0.10831639602227222, 0.10847211606609476, 0.10864433748582679, 0.10883407874256514, 0.10904257555348519, 0.10927132901783007, 0.10952216661785337, 0.10979732032681856, 0.11009952774701465, 0.11043216467957057, 0.11079942122365438, 0.11120653911454152, 0.11166013670383644, 0.11216866175224265, 0.11274303454151104, 0.11339758104000243, 0.11415141979800845, 0.1150305798527996, 0.11607133665175222, 0.11732565755269833, 0.11887046938869059, 0.12082422819115769, 0.1233783544723079, 0.1268613659080387, 0.13188221045836138, 0.13969069947086252, 0.15323948463130188, 0.18109623257226701, 0.25741444467350982, 0.57006874349649139, 0.43837829601586403, 0.1552568721360495, 0.11293370261727513, 0.10338220204581478, 0.10087235427509428, 0.10041912669604425, 0.10066839694937155, 0.10117076361542419, 0.10175821146644483, 0.10236398528033611, 0.1029615121566903, 0.10354118890806296, 0.10410079353606674, 0.10464127373962759, 0.1051648110364498, 0.10567389857381509, 0.10617088589822345, 0.10665774170119037, 0.10713591685522168, 0.10760625105650602, 0.10806889638085106, 0.10852324699073711, 0.10896787375180068, 0.10940046914104676, 0.109817813062058, 0.11021577440134424, 0.11058936598548402, 0.11093287110459946, 0.11124005672412401, 0.11150448077980005, 0.11171988809032511, 0.11188067233593953, 0.11198236299037277, 0.11202208056198838, 0.11199889628276211, 0.11191403774578906, 0.11177090114711738, 0.11157486064961844, 0.11133289898824708, 0.11105311214688254, 0.11074415757943712, 0.11041471683021623, 0.1100730310904431, 0.10972654733428565, 0.10938168958232516, 0.1090437499242147, 0.10871688029317624, 0.10840415929659482, 0.10810770757998302, 0.10782882831574034, 0.1075681544986757, 0.10732579025009772, 0.10710143830174851, 0.10689450978272795, 0.10670421526716913, 0.106529637872287, 0.10636979023301951, 0.10622365764303347, 0.10609022973760578, 0.10596852295443208, 0.10585759575305834, 0.10575655827471002, 0.10566457782598809, 0.10558088129637769, 0.10550475538172632, 0.10543554528672013, 0.10537265241710857, 0.10531553144305607, 0.10526368701362357, 0.10521667032416319, 0.10517407567884797, 0.1051355371457966, 0.10510072536903464, 0.10506934457722288, 0.10504112981156773, 0.10501584438295565, 0.10499327755981187, 0.10497324248251264, 0.10495557429659774, 0.10494012849497796, 0.10492677945838066, 0.10491541918311215, 0.10490595618558912, 0.10489831457385525, 0.10489243327730913, 0.104888265427052, 0.10488577788055292, 0.10488495088568109, 0.10488508478621084, 0.10488548664620828, 0.10488615694115623, 0.10488709646438667, 0.10488830632837619, 0.10488978796656277, 0.10489154313569231, 0.10489357391869926, 0.10489588272813122, 0.10489847231012694, 0.10490134574895955, 0.10490450647215742, 0.10490795825622022, 0.10491170523294145, 0.10491575189636451, 0.10492010311038334, 0.10492476411701834, 0.10492974054538581, 0.10493503842139265, 0.10494066417818179, 0.10494662466735996, 0.10495292717104555, 0.10495957941476708, 0.10496658958125593, 0.10497396632517375, 0.1049817187888199, 0.1049898566188676, 0.10499838998417917, 0.10500732959475964, 0.10501668672190313, 0.10502647321959889, 0.10503670154726441, 0.10504738479387653, 0.10505853670357987, 0.10507017170285324, 0.10508230492932487, 0.10509495226232875, 0.10510813035530416, 0.10512185667014415, 0.10513614951361179, 0.10515102807594381, 0.10516651247177444, 0.10518262378352164, 0.10519938410738498, 0.10521681660211799, 0.1052349455407488, 0.10525379636543435, 0.10527339574565059, 0.10529377163993159, 0.10531495336139275, 0.10533697164728865, 0.10535985873287612, 0.10538364842987839, 0.10540837620986886, 0.1054340792929253, 0.10546079674193269, 0.10548856956295431, 0.10551744081212831, 0.10554745570959577, 0.1055786617610216, 0.10561110888733137, 0.10564484956336187, 0.10567993896620365, 0.10571643513412125, 0.10575439913704887, 0.10579389525979672, 0.1058349911992772, 0.10587775827724355, 0.10592227167028298, 0.10596861065907515, 0.1060168588992787, 0.10606710471681011, 0.10611944143078038, 0.10617396770796106, 0.10623078795337611, 0.10629001274252421, 0.10635175930181959, 0.10641615204518506, 0.10648332317637303, 0.10655341336861152, 0.10662657253565182, 0.1067029607113703, 0.10678274905885186, 0.10686612103457233, 0.10695327373909524, 0.10704441949290487, 0.10713978768494876, 0.10723962695262511, 0.10734420776587331, 0.10745382550544297, 0.1075688041472621, 0.10768950069225081, 0.10781631051550358, 0.10794967385241333, 0.1080900836946264, 0.10823809543898304, 0.10839433872218733, 0.10855953198850268, 0.1087345004847883, 0.10892019856645496, 0.10911773744240544, 0.10932841980367833, 0.10955378319164071, 0.10979565449607305, 0.11005621866821713, 0.11033810563486343, 0.11064450056103169, 0.11097928408907076, 0.11134721102951534, 0.11175413819916261, 0.11220731458227824, 0.11271574934144821, 0.11329067442602035, 0.11394611633782888, 0.11469958112490575, 0.11557282783485202, 0.11659263861729696, 0.11779135104395566, 0.11920663474747538, 0.12087947145806067, 0.12284843321633757, 0.1251372011260371, 0.12773150988498067, 0.13054359820625797, 0.13337124670061656, 0.13587778269588449, 0.13763795167184786, 0.13827561345500569, 0.13763795167184878, 0.13587778269588452, 0.13337124670061412, 0.13054359820625727, 0.1277315098849805, 0.12513720112603247, 0.12284843321633918, 0.12087947145806147, 0.11920663474747722, 0.11779135104395731, 0.11659263861729627, 0.11557282783485098, 0.11469958112490555, 0.11394611633782908, 0.11329067442602031, 0.11271574934144871, 0.11220731458227777, 0.11175413819916157, 0.11134721102951575, 0.11097928408907122, 0.11064450056103153, 0.11033810563486364, 0.11005621866821698, 0.10979565449607304, 0.10955378319164071, 0.10932841980367809, 0.10911773744240565, 0.10892019856645488, 0.10873450048478824, 0.108559531988503, 0.10839433872218719, 0.10823809543898302, 0.1080900836946266, 0.1079496738524135, 0.10781631051550353, 0.10768950069225064, 0.10756880414726201, 0.10745382550544301, 0.10734420776587328, 0.10723962695262529, 0.10713978768494888, 0.10704441949290472, 0.10695327373909537, 0.10686612103457238, 0.10678274905885174, 0.10670296071137024, 0.10662657253565186, 0.10655341336861157, 0.10648332317637306, 0.10641615204518513, 0.10635175930181967, 0.10629001274252403, 0.10623078795337601, 0.10617396770796111, 0.10611944143078043, 0.10606710471681, 0.10601685889927878, 0.10596861065907517, 0.10592227167028281, 0.10587775827724341, 0.10583499119927703, 0.10579389525979675, 0.10575439913704886, 0.10571643513412139, 0.1056799389662036, 0.10564484956336195, 0.10561110888733136, 0.10557866176102151, 0.10554745570959567, 0.10551744081212842, 0.1054885695629543, 0.10546079674193258, 0.10543407929292531, 0.105408376209869, 0.10538364842987857, 0.10535985873287611, 0.10533697164728867, 0.10531495336139277, 0.10529377163993148, 0.10527339574565059, 0.1052537963654345, 0.10523494554074872, 0.10521681660211789, 0.10519938410738494, 0.10518262378352169, 0.10516651247177451, 0.10515102807594387, 0.10513614951361176, 0.10512185667014404, 0.1051081303553042, 0.10509495226232876, 0.10508230492932487, 0.10507017170285313, 0.10505853670357988, 0.10504738479387661, 0.10503670154726442, 0.10502647321959875, 0.10501668672190306, 0.1050073295947595, 0.10499838998417912, 0.10498985661886764, 0.10498171878881996, 0.10497396632517363, 0.10496658958125588, 0.10495957941476701, 0.1049529271710455, 0.10494662466736009, 0.10494066417818175, 0.10493503842139279, 0.10492974054538595, 0.10492476411701834, 0.1049201031103833, 0.10491575189636454, 0.10491170523294162, 0.10490795825622012, 0.10490450647215749, 0.10490134574895953, 0.10489847231012694, 0.10489588272813127, 0.10489357391869926, 0.10489154313569228, 0.10488978796656284, 0.10488830632837609, 0.10488709646438672, 0.10488615694115633, 0.10488548664620836, 0.10488508478621088, 0.10488495088568088, 0.10488501783154956, 0.10488521869558724, 0.10488555355709547, 0.10488602254826096, 0.10488662585418371, 0.10488736371291534, 0.10488823641550624, 0.10488924430606521, 0.10489038778182845, 0.10489166729323704, 0.10489308334402458, 0.10489463649131278, 0.10489632734571618, 0.10489815657145199, 0.10490012488645876, 0.1049022330625194, 0.10490448192539013, 0.10490687235493203, 0.10490940528524703, 0.1049120817048131, 0.10491490265662334, 0.10491786923832071, 0.10492098260233171, 0.10492424395599623, 0.10492765456169083, 0.10493121573694497, 0.10493492885454572, 0.10493879534263381, 0.10494281668478177, 0.10494699442005716, 0.10495133014306618, 0.1049558255039747, 0.10496048220850362, 0.10496530201789447, 0.10497028674884541, 0.1049754382734077, 0.10498075851884434, 0.10498624946744255, 0.10499191315627811, 0.10499775167692574, 0.10500376717510804, 0.10500996185028294, 0.10501633795515639, 0.1050228977951211, 0.1050296437276082, 0.10503657816135023, 0.105043703555544, 0.10505102241890657, 0.10505853730861586, 0.1050662508291262, 0.10507416563085108, 0.10508228440869913, 0.10509060990045706, 0.10509914488500426, 0.10510789218034991, 0.10511685464147744, 0.10512603515798633, 0.1051354366515117, 0.10514506207291378, 0.10515491439921573, 0.10516499663027702, 0.10517531178518412, 0.10518586289833955, 0.10519665301523394, 0.10520768518787713, 0.10521896246987221, 0.10523048791110821, 0.10524226455205282, 0.1052542954176186, 0.10526658351058425, 0.10527913180454274, 0.10529194323635387, 0.10530502069807669, 0.10531836702835536, 0.10533198500323256, 0.10534587732636475, 0.10536004661861477, 0.10537449540699236, 0.10538922611292104, 0.10540424103980302, 0.10541954235986079, 0.10543513210023063, 0.10545101212828531, 0.10546718413617165, 0.1054836496245375, 0.10550040988544207, 0.10551746598443151, 0.10553481874177816, 0.10555246871287539, 0.10557041616779764, 0.10558866107002707, 0.10560720305436991, 0.10562604140408244, 0.1056451750272404, 0.10566460243239839, 0.10568432170358748, 0.10570433047472788, 0.10572462590352991, 0.10574520464498353, 0.10576606282455277, 0.10578719601120214, 0.10580859919041387, 0.10583026673736448, 0.10585219239046305, 0.10587436922547104, 0.1058967896304527, 0.10591944528183801, 0.10594232712189856, 0.10596542533797901, 0.10598872934385185, 0.10601222776360099, 0.10603590841846459, 0.10605975831711421, 0.10608376364986602, 0.10610790978736737, 0.10613218128431869, 0.10615656188883336, 0.10618103455805639, 0.1062055814806898, 0.1062301841070928, 0.10625482318763407, 0.10627947881999035, 0.10630413050607515, 0.10632875721928557, 0.10635333748272824, 0.10637784945907044, 0.10640227105261252, 0.10642658002413972, 0.10649860944842462, 0.10656884050754983, 0.10663674107159606, 0.10670188376402961, 0.10676400718938446, 0.10682308510138359, 0.1068794009434513, 0.10693362458566971, 0.10698688805962972, 0.10704085790810294, 0.10709780358641066, 0.10716066421669963, 0.10723311982893495, 0.10731967791203006, 0.10742579165225015, 0.10755803299484588, 0.10772435257801313, 0.10793447158463045, 0.10820047114413608, 0.10853767930715366, 0.10896601501865193, 0.10951205396614665, 0.11021227402144336, 0.11111830355944786, 0.11230571976549897, 0.1138894536013641, 0.1160522059226376, 0.11910026703937193, 0.12358194381081211, 0.13056418672812017, 0.14236337691865486, 0.16481308934614197, 0.21592910095851414, 0.36542381691812459, 0.6884275891914633, 0.35682387030731566, 0.17423629470810995, 0.12564866730720595, 0.10856276696383334, 0.10108527354665432, 0.097285669981792208, 0.095146701437335821, 0.09388602938719183, 0.093220961248533407, 0.093178825996035677, 0.094192085018715579, 0.097696899013630725, 0.10873206153494426, 0.15080064406129148, 0.39336859571432126, 0.70353324319241184, 0.28953427620542482, 0.18613719406158236, 0.15094926572740178, 0.13463410157447048, 0.12554761319700364, 0.11985497209237558, 0.11598528649360561, 0.11319206418093533, 0.11108069087292791, 0.10942535786168882, 0.10808891132835416, 0.1069843646707367, 0.10605510358559397, 0.1052642551220105, 0.10458897372442341, 0.10401770318763401, 0.10354962749446361, 0.10319626790510318, 0.10298592327766348, 0.10297278567011083, 0.10325480975274336, 0.10400947646121875, 0.10556908924183341, 0.10859103520892022, 0.11447986467901629, 0.12656249708967662, 0.15386474680084011, 0.22522271975081595, 0.43755128664232273, 0.77498628950899218, 0.54810756707254027, 0.3286148010283082, 0.23559497832359302, 0.19180399004328744, 0.16798374859566445, 0.15351970199732909, 0.14399657416675207, 0.13733365895141361, 0.13244800663889394, 0.12872999662663412, 0.12581424733676072, 0.12347030562364485, 0.12154656477506277, 0.11993970440683004, 0.11857717201640183, 0.11740669796877318, 0.11638978278941911, 0.11549751923227773, 0.11470783524979397, 0.11400362858280987, 0.11337147622789222, 0.11280072363386623, 0.1122828302228543, 0.1118108913491183, 0.11137928387299133, 0.11098339974355671, 0.11061944316378801, 0.11028427431039438, 0.10997528756248566, 0.10969031560209853, 0.10942755311732151, 0.10918549550643307, 0.10896288917158352, 0.10875869085045058, 0.1085720340629486, 0.10840220121477245, 0.10824860024664915, 0.10811074497996806, 0.10798823850856294, 0.10788075913907888, 0.10778804850004114, 0.10770990153091049, 0.10764615813323443, 0.10759669632105114, 0.10756142675058984, 0.10754028854269855, 0.1075332463376273, 0.10753794078319358, 0.10755202752179142, 0.10757551690048259, 0.10760842663623038, 0.10765078252605928, 0.10770261944616752, 0.1077639826452932, 0.10783492933969707, 0.10791553061964967, 0.10800587368036872, 0.1081060643940514, 0.1082162302441482, 0.10833652364843002, 0.10846712570388586, 0.10860825039424389, 0.10876014931011921, 0.1089231169427807, 0.10909749662550515, 0.10928368721193887, 0.1094821505991925, 0.10969342022513505, 0.10991811069524915, 0.11015692872523175, 0.11041068562239856, 0.11068031157303779, 0.11096687205578354, 0.11127158676470672, 0.11159585150243038, 0.11194126359598439, 0.11230965149967456, 0.11270310938396642, 0.11312403767204582, 0.11357519068182555, 0.11405973276696907, 0.11458130463288224, 0.11514410183945582, 0.11575296789789617, 0.11641350482811597, 0.11713220456438203, 0.1179166051687099, 0.11877547640363784, 0.11971903976619383, 0.12075922847635467, 0.12190999293936482, 0.1231876565094238, 0.12461132438757577, 0.12620334424118557, 0.12798980913506372, 0.13000107929528837, 0.13227227561139596, 0.13484365962730011, 0.13776075533395099, 0.14107397916572167, 0.14483741824749485, 0.14910623002023815, 0.15393194073529082, 0.15935474146834577, 0.16539182610263825, 0.17202108816881459, 0.17916039655249558, 0.18664453310719417, 0.19420480521680294, 0.20145977897091394, 0.20792782721380498, 0.21307057070601729, 0.21636853321559679, 0.21741706538565236, 0.21601709490735116, 0.21222982339104751, 0.20637309313225738, 0.19895799292239869, 0.19058717205160672, 0.18184879743925467, 0.173236161342295, 0.16510720441623378, 0.15768121694511042, 0.15105993522636585, 0.14525874715798501, 0.14023752621312427, 0.13592569488345793, 0.13224006436340333, 0.1290961930786414, 0.12641481803429003, 0.12412493379990257, 0.12216478836633675, 0.12048169785884209, 0.11903126766652178, 0.11777637610038154, 0.11668612124443176, 0.11573483398375008, 0.11490120221476743, 0.11416751879813442, 0.113519048977775, 0.11294350527013682, 0.11243061518166855, 0.11197176711841202, 0.1115597211108665, 0.11118837271476641, 0.11085256025675375, 0.11054790727627768, 0.11027069349125319, 0.11001774886629859, 0.10978636640028948, 0.10957423009891248, 0.10937935528601628, 0.1092000389621304, 0.10903481836396023, 0.10888243623585479, 0.10874181161056828, 0.10861201512627731, 0.10849224809124085, 0.10838182465589319, 0.10828015657182957, 0.10818674011392726, 0.1081011448203039, 0.10802300376862778, 0.10795200515932762, 0.10788788501879661, 0.10783042087055955, 0.10777942625101281, 0.1077347459699096, 0.10769625203518038, 0.10766384017767197, 0.10763742692462068, 0.10761694718159022, 0.107602352291679, 0.10759360854838955, 0.10759069614494621], [0.11019047168172783, 0.11019704232814059, 0.11021677426674897, 0.11024972821845133, 0.11029600781532886, 0.11035576332250795, 0.11042919700615744, 0.11051657031818408, 0.11061821313696006, 0.11073453538970589, 0.1108660414929126, 0.11101334819183441, 0.11117720657181798, 0.11135852927152685, 0.11155842427751347, 0.11177823715973216, 0.11201960427552984, 0.11228452041082113, 0.11257542567169709, 0.11289531838902399, 0.11324790366989566, 0.11363779153289369, 0.11407076513502359, 0.11455414984064244, 0.11509733021278422, 0.11571248870195687, 0.11641568467418209, 0.11722847021035453, 0.11818037879363072, 0.11931288401900587, 0.12068593600065976, 0.12238923606803707, 0.1245627211151671, 0.12743619028212635, 0.13141212819263828, 0.13725660397382886, 0.14659921802178311, 0.16349077130123946, 0.20062126190684731, 0.31461811544687934, 0.73119251597370705, 0.29847711113581027, 0.13849218700320753, 0.11134365511852667, 0.10470481222163103, 0.10300252180531777, 0.10283016914647035, 0.10319439867050199, 0.1037512508536645, 0.10436904788974399, 0.10499509698172693, 0.10560874791925255, 0.10620305615080905, 0.10677705434577162, 0.10733230758733818, 0.10787131257237173, 0.10839672791548992, 0.10891098948803515, 0.10941610493269176, 0.10991352903513028, 0.11040407232543188, 0.11088782064646456, 0.11136405728674978, 0.11183118795657533, 0.112286675318001, 0.11272699518582835, 0.11314763110290654, 0.11354312722384158, 0.11390722020294836, 0.11423306761867549, 0.11451358201182206, 0.1147418652627995, 0.11491171872801001, 0.11501818338104081, 0.11505804631511793, 0.11503024147709633, 0.11493607840274631, 0.11477925446347455, 0.11456564016142903, 0.11430286524747088, 0.11399976590247271, 0.11366577169019701, 0.11331031192865461, 0.11294230652922088, 0.11256978227051163, 0.11219962927226522, 0.11183749020045793, 0.11148775984626606, 0.11115366576341019, 0.11083740023640955, 0.11054027772751898, 0.11026289787248214, 0.11000530034550766, 0.10976710343650183, 0.10954762250297925, 0.10934596750388136, 0.10916112074852037, 0.10899199704853912, 0.10883748889855792, 0.10869649935025158, 0.10856796505225094, 0.10845087162220163, 0.10834426317396045, 0.1082472474878562, 0.10815899800925127, 0.10807875360041137, 0.10800581675474534, 0.10793955080786453, 0.10787937654167991, 0.10782476847015134, 0.10777525101279305, 0.10773039469960849, 0.10768981250450563, 0.10765315636987943, 0.10762011396008769, 0.10759040566371295, 0.10756378185203933, 0.10754002039267906, 0.10751892441175177, 0.10750032029462321, 0.10748405591337019, 0.1074699990684084, 0.1074580361317725, 0.10744807088012298, 0.10744002350651655, 0.10743382980117647, 0.10742944049285343, 0.10742682074382459, 0.10742594979308462, 0.10742609107307279, 0.10742651508065609, 0.10742722231896698, 0.10742821362747906, 0.1074294901833913, 0.10743105350356925, 0.10743290544705282, 0.1074350482181345, 0.10743748437001953, 0.10744021680907793, 0.1074432487997012, 0.10744658396977705, 0.1074502263168015, 0.1074541802146404, 0.10745845042096971, 0.10746304208540694, 0.10746796075836634, 0.10747321240065887, 0.10747880339386989, 0.10748474055154447, 0.10749103113121196, 0.10749768284729434, 0.10750470388492847, 0.10751210291475205, 0.10751988910869682, 0.10752807215683854, 0.10753666228535676, 0.10754567027566111, 0.1075551074847468, 0.10756498586684139, 0.10757531799641551, 0.10758611709263126, 0.10759739704530751, 0.10760917244248946, 0.10762145859971153, 0.10763427159105417, 0.10764762828209752, 0.10766154636488542, 0.10767604439501663, 0.10769114183099759, 0.10770685907598865, 0.10772321752209447, 0.10774023959735633, 0.10775794881561626, 0.10777636982943524, 0.10779552848626284, 0.10781545188806793, 0.10783616845466082, 0.10785770799094901, 0.1078801017583957, 0.10790338255096779, 0.107927584775884, 0.10795274453950399, 0.10797889973872611, 0.10800609015830068, 0.10803435757449634, 0.1080637458656087, 0.1080943011298449, 0.10812607181117451, 0.10815910883380492, 0.10819346574601241, 0.10822919887414777, 0.10826636748773494, 0.10830503397670233, 0.1083452640419257, 0.10838712690041995, 0.1084306955067241, 0.10847604679223859, 0.10852326192456831, 0.10857242658923931, 0.10862363129656728, 0.10867697171692714, 0.1087325490482542, 0.10879047042031334, 0.10885084934111371, 0.10891380619189787, 0.1089794687783891, 0.10904797294753545, 0.109119463280884, 0.10919409387805322, 0.10927202924662988, 0.10935344531836326, 0.10943853061588288, 0.10952748759957485, 0.10962053423094258, 0.10971790579709964, 0.10981985705139156, 0.10992666473806532, 0.11003863058504978, 0.11015608486914778, 0.11027939068338055, 0.11040894906825111, 0.11054520520919403, 0.11068865595378284, 0.11083985896753956, 0.11099944393047234, 0.11116812628317241, 0.11134672416850684, 0.11153617939212777, 0.11173758345472173, 0.11195221000800058, 0.11218155547729072, 0.11242739010628491, 0.11269182235405444, 0.11297738046350661, 0.11328711619296283, 0.11362473724530767, 0.11399477694726451, 0.11440281233911762, 0.11485574512880287, 0.11536216395076948, 0.11593281080126817, 0.11658117852838282, 0.11732426756268563, 0.11818352337083997, 0.11918594974985444, 0.12036532265969793, 0.12176326608878306, 0.12342960424516998, 0.12542072070700458, 0.12779343814302296, 0.13059011860858946, 0.13380899312706035, 0.13735517751204343, 0.14097936275149284, 0.14423978508677304, 0.14655569251022854, 0.14739997597348314, 0.1465556925102299, 0.14423978508677346, 0.1409793627514897, 0.13735517751204246, 0.13380899312706038, 0.13059011860858408, 0.12779343814302493, 0.12542072070700552, 0.12342960424517213, 0.12176326608878497, 0.12036532265969713, 0.11918594974985322, 0.11818352337083979, 0.11732426756268591, 0.11658117852838282, 0.11593281080126872, 0.11536216395076897, 0.1148557451288017, 0.11440281233911803, 0.11399477694726502, 0.11362473724530747, 0.11328711619296304, 0.11297738046350646, 0.11269182235405439, 0.11242739010628497, 0.1121815554772905, 0.11195221000800082, 0.11173758345472168, 0.11153617939212772, 0.11134672416850719, 0.11116812628317226, 0.11099944393047234, 0.11083985896753976, 0.11068865595378298, 0.11054520520919396, 0.11040894906825093, 0.11027939068338051, 0.11015608486914789, 0.11003863058504973, 0.10992666473806552, 0.10981985705139169, 0.10971790579709947, 0.10962053423094271, 0.10952748759957487, 0.1094385306158827, 0.10935344531836323, 0.10927202924662993, 0.10919409387805326, 0.10911946328088402, 0.10904797294753557, 0.10897946877838921, 0.10891380619189767, 0.10885084934111364, 0.10879047042031337, 0.10873254904825423, 0.10867697171692699, 0.10862363129656739, 0.10857242658923931, 0.10852326192456813, 0.10847604679223841, 0.10843069550672392, 0.10838712690042, 0.10834526404192565, 0.10830503397670253, 0.10826636748773492, 0.10822919887414784, 0.10819346574601237, 0.10815910883380488, 0.10812607181117442, 0.10809430112984503, 0.10806374586560867, 0.10803435757449621, 0.10800609015830073, 0.10797889973872626, 0.10795274453950413, 0.10792758477588404, 0.10790338255096778, 0.10788010175839563, 0.10785770799094885, 0.10783616845466085, 0.1078154518880681, 0.10779552848626277, 0.10777636982943516, 0.10775794881561623, 0.10774023959735639, 0.1077232175220945, 0.1077068590759887, 0.10769114183099755, 0.10767604439501653, 0.10766154636488541, 0.10764762828209759, 0.10763427159105415, 0.10762145859971145, 0.10760917244248952, 0.10759739704530763, 0.10758611709263131, 0.10757531799641537, 0.10756498586684132, 0.10755510748474666, 0.1075456702756611, 0.10753666228535684, 0.10752807215683859, 0.10751988910869674, 0.10751210291475201, 0.10750470388492842, 0.10749768284729432, 0.10749103113121211, 0.10748474055154439, 0.10747880339387009, 0.10747321240065899, 0.10746796075836638, 0.10746304208540693, 0.10745845042096977, 0.10745418021464063, 0.10745022631680146, 0.10744658396977722, 0.10744324879970121, 0.10744021680907791, 0.10743748437001953, 0.10743504821813446, 0.10743290544705282, 0.10743105350356934, 0.10742949018339122, 0.10742821362747912, 0.10742722231896706, 0.10742651508065616, 0.10742609107307283, 0.1074259497930844, 0.10742602042840874, 0.10742623236213522, 0.10742658567753105, 0.10742708051339364, 0.10742771706408018, 0.10742849557954876, 0.10742941636540816, 0.10743047978298163, 0.10743168624938007, 0.1074330362375842, 0.10743453027653871, 0.10743616895125299, 0.10743795290291364, 0.10743988282900083, 0.10744195948341539, 0.10744418367660985, 0.10744655627572629, 0.1074490782047369, 0.10745175044458996, 0.10745457403335422, 0.10745755006636863, 0.10746067969638716, 0.10746396413372294, 0.10746740464638872, 0.10747100256023072, 0.10747475925905517, 0.10747867618474349, 0.10748275483735828, 0.10748699677523141, 0.10749140361503634, 0.10749597703184074, 0.10750071875913528, 0.10750563058883629, 0.10751071437125827, 0.10751597201505453, 0.10752140548711794, 0.10752701681244248, 0.10753280807393627, 0.10753878141218595, 0.10754493902516386, 0.10755128316787241, 0.10755781615192443, 0.1075645403450461, 0.10757145817050243, 0.1075785721064339, 0.10758588468509939, 0.10759339849201634, 0.10760111616498941, 0.10760904039301958, 0.1076171739150832, 0.10762551951877311, 0.10763408003878787, 0.10764285835526105, 0.10765185739191653, 0.10766108011403917, 0.10767052952624506, 0.10768020867004172, 0.10769012062115725, 0.10770026848663036, 0.10771065540163929, 0.10772128452605574, 0.10773215904070552, 0.10774328214331573, 0.10775465704413284, 0.10776628696118659, 0.10777817511518364, 0.10779032472400468, 0.10780273899678687, 0.10781542112756341, 0.10782837428844161, 0.10784160162228953, 0.10785510623490967, 0.10786889118667187, 0.10788295948358044, 0.10789731406774786, 0.10791195780724804, 0.10792689348532483, 0.1079421237889255, 0.10795765129653626, 0.10797347846529148, 0.10798960761733481, 0.10800604092540639, 0.10802278039763401, 0.10803982786151275, 0.10805718494704826, 0.10807485306905726, 0.10809283340860824, 0.10811112689360043, 0.10812973417847466, 0.10814865562306561, 0.10816789127060047, 0.10818744082486627, 0.10820730362657022, 0.10822747862892852, 0.10824796437253394, 0.10826875895955336, 0.1082898600273379, 0.10831126472152282, 0.10833296966872354, 0.10835497094895132, 0.10837726406788242, 0.1083998439291487, 0.1084227048068267, 0.10844584031833901, 0.10846924339799853, 0.10849290627145812, 0.10851682043136016, 0.10854097661450404, 0.10856536478088757, 0.10858997409501066, 0.10861479290986473, 0.1086398087540585, 0.10866500832257976, 0.10869037747171252, 0.10871590121867557, 0.10874156374657087, 0.10876734841526869, 0.10879323777887998, 0.10881921361049225, 0.10884525693486578, 0.10887134806979941, 0.10889746667688836, 0.10892359182239017, 0.10894970204891592, 0.10897577545863808, 0.10900178980869063, 0.10902772261938395, 0.10905355129582105, 0.10913018778949292, 0.10920509391028438, 0.10927773767731661, 0.10934770063352049, 0.10941474246027749, 0.1094788740821316, 0.10954043669702027, 0.10960018358536315, 0.10965936159294372, 0.10971979011527991, 0.10978393741778839, 0.10985499726680517, 0.10993697307601312, 0.11003478203246325, 0.11015439805816163, 0.1103030604998877, 0.11048958638043085, 0.11072484037911495, 0.11102244298082659, 0.11139984161453366, 0.11187994714828697, 0.11249367769271244, 0.11328401134933909, 0.11431265212439272, 0.11567143314172551, 0.11750277110386016, 0.12003851333621215, 0.1236790243928677, 0.12916864956413165, 0.13802975170789777, 0.15379921385604992, 0.18627232334958194, 0.26978522414446499, 0.53306567339957533, 0.57208205203545459, 0.23254203387247324, 0.1428933717587578, 0.11597881416755734, 0.1054204587386933, 0.10044457951687624, 0.097769324031721699, 0.096183212090000511, 0.095192408744567553, 0.094618938068256331, 0.094499527034916098, 0.095166358743237006, 0.097668828083533651, 0.10547481951923698, 0.13322370711168732, 0.27509753115643387, 0.81422203973961937, 0.36272685192003601, 0.20871228348282739, 0.16196075526649034, 0.1417195596939278, 0.1309031890852613, 0.12430816012807112, 0.11990948027387194, 0.11677841438156109, 0.11443644415744682, 0.11261487525265983, 0.11115269988910212, 0.1099486362059439, 0.10893683622611179, 0.10807391247239972, 0.10733185819534267, 0.10669436349969161, 0.10615541732469132, 0.10571988043293022, 0.10540636613897614, 0.10525361218215215, 0.10533305837810257, 0.10577362068168432, 0.10681239750022829, 0.10890503142426698, 0.11298623556485074, 0.12115170101323998, 0.13868996779971721, 0.18114533341854402, 0.30173264029252822, 0.63142370995306552, 0.72187487671810469, 0.42423753714763601, 0.27821581345235902, 0.21442695053235655, 0.18207560207035142, 0.16341993639084459, 0.1515935279635951, 0.14355135211492492, 0.13778257546801512, 0.13346819979535382, 0.13013196289238796, 0.12748078098802385, 0.1253257319339415, 0.12354024534870449, 0.12203672148536619, 0.12075282942938088, 0.11964314948628955, 0.11867389571753176, 0.11781948120000776, 0.11706022232371337, 0.1163807677607461, 0.11576900044936625, 0.11521525548590918, 0.11471175338903128, 0.11425218295130705, 0.1138313897533071, 0.11344514046703569, 0.11308994228823815, 0.11276290298759524, 0.11246162124626508, 0.11218409982013194, 0.11192867609105592, 0.11169396599146945, 0.1114788183143007, 0.11128227716576747, 0.11110355086676618, 0.11094198601594966, 0.11079704573339171, 0.11066829133527885, 0.11055536686689098, 0.11045798605695216, 0.11037592136134623, 0.11030899484550352, 0.11025707071788447, 0.11022004937613886, 0.110197862865829, 0.11019047168172783, 0.11019539874709944, 0.11021018385801619, 0.11023483891259256, 0.11026938425418077, 0.11031384944404328, 0.11036827434912598, 0.11043271055143777, 0.11050722308802871, 0.11059189253358491, 0.11068681744129466, 0.1107921171620363, 0.11090793506726485, 0.11103444220737538, 0.11117184144500675, 0.11132037211195518, 0.11148031524934082, 0.11165199950380214, 0.11183580776808744, 0.11203218467307192, 0.11224164506047449, 0.11246478359215127, 0.11270228568375965, 0.1129549399888886, 0.1132236527059638, 0.113509464036017, 0.11381356718704132, 0.11413733040285477, 0.11448232259454123, 0.11485034327489901, 0.1152434576461495, 0.11566403787492553, 0.11611481181432752, 0.11659892071038905, 0.11711998777155985, 0.11768219989911516, 0.11829040539040465, 0.11895023105463265, 0.11966822294291948, 0.12045201581063926, 0.12131053751599583, 0.12225425581756735, 0.12329547644202686, 0.12444870277735592, 0.12573106893902616, 0.12716285892409379, 0.12876812449398253, 0.13057541221591173, 0.13261860386564833, 0.13493786101186936, 0.13758063897552827, 0.14060268950461846, 0.14406889345478155, 0.14805363771526947, 0.15264025348887922, 0.15791874507330925, 0.16398065289434652, 0.17090945068065652, 0.17876451745293795, 0.18755678324236696, 0.19721522014879297, 0.20754623919152748, 0.21819334196693954, 0.22861144771863187, 0.23807611476395113, 0.24574676685071159, 0.25078968362684523, 0.25254156739176886, 0.25066834966663659, 0.24526271131586125, 0.23683876105851204, 0.2262204209075073, 0.21436308171881924, 0.20217199960361035, 0.19037252814319885, 0.17945522833972188, 0.16968569888231483, 0.1611517973859819, 0.15382144184949398, 0.14759390118733368, 0.14233773691961252, 0.13791526647700539, 0.13419637703720974, 0.13106506247454039, 0.12842150874639988, 0.12618173250817399, 0.12427605060451881, 0.12264712741516086, 0.1212480003022587, 0.12004027393530592, 0.11899255598459343, 0.11807914457108618, 0.11727894841413383, 0.11657460915126835, 0.11595179313338522, 0.11539862221192873, 0.11490521697674937, 0.11446333021633576, 0.11406605241891009, 0.11370757466077563, 0.11338299717942613, 0.11308817433668723, 0.11281958861100932, 0.11257424779604951, 0.11234960079857366, 0.11214346838673649, 0.11195398599355648, 0.11177955627340651, 0.11161880957630718, 0.11147057087318829, 0.11133383195653622, 0.11120772797178027, 0.11109151751844383, 0.11098456570665687, 0.11088632967202394, 0.11079634614618669, 0.11071422075653559, 0.11063961879013383, 0.11057225720696055, 0.11051189772833842, 0.11045834085970453, 0.11041142073412839, 0.11037100068533191, 0.11033696947729367, 0.11030923813263066, 0.11028773731436248, 0.11027241522595757, 0.11026323600313427, 0.11026017857809874], [0.11388947257883308, 0.11389642997151572, 0.11391732402337837, 0.11395222114540336, 0.11400123467816511, 0.11406452896022336, 0.11414232519996818, 0.11423490934189602, 0.11434264219553471, 0.11446597219234017, 0.114605451260809, 0.11476175447358479, 0.11493570433767505, 0.1151283008913635, 0.11534075916977973, 0.11557455615032114, 0.1158314900558757, 0.11611375597828501, 0.11642404334010663, 0.11676566297802958, 0.11714271498405215, 0.11756031349137896, 0.11802489234878237, 0.11854462779390269, 0.11913003376830775, 0.1197948176917662, 0.12055713905420641, 0.12144150865977099, 0.12248173967316854, 0.12372568952563351, 0.12524318236342963, 0.12713986614573936, 0.12958281267592864, 0.13285106062752561, 0.13744397963451094, 0.14433934211411117, 0.15569923917113912, 0.1772062974475056, 0.22822791464060579, 0.40438935652323282, 0.72497398117596701, 0.22248614016728518, 0.1299518013225911, 0.11189077936663701, 0.10725284724266108, 0.10616100582062427, 0.10622062890169419, 0.10669026072693964, 0.1073040218286567, 0.10795839507241979, 0.10861203298681596, 0.10924926367672907, 0.10986548627903379, 0.11046090858656235, 0.11103772224268732, 0.11159877938126242, 0.1121469519684236, 0.11268480794083403, 0.11321443327274222, 0.11373731763785813, 0.11425426363962599, 0.11476530114783244, 0.11526960045027337, 0.11576538597408202, 0.11624985871095743, 0.11671914118445866, 0.11716826387472436, 0.11759121576739348, 0.11798108279147049, 0.11833029462809475, 0.11863099105850637, 0.11887550287236393, 0.11905692035605943, 0.11916969800893856, 0.11921022334328857, 0.1191772675580719, 0.11907224241189181, 0.1188992125183836, 0.11866465141705057, 0.11837697368717065, 0.11804591241885064, 0.11768183201865662, 0.11729506667444549, 0.11689535738067622, 0.11649143243567939, 0.11609074634803723, 0.11569936706996772, 0.11532198511255837, 0.11496201085143394, 0.1146217264483913, 0.11430246362227303, 0.11400478542980447, 0.1137286573419657, 0.11347359908141791, 0.11323881343949625, 0.11302329158203064, 0.11282589638789353, 0.11264542643816811, 0.11248066367987104, 0.1123304077714098, 0.11219349986186504, 0.11206883819020827, 0.11195538749481135, 0.11185218384524824, 0.11175833617132538, 0.11167302547758491, 0.11159550249571037, 0.11152508433804705, 0.11146115056669732, 0.11140313897761139, 0.11135054131144104, 0.11130289903702037, 0.11125979930444403, 0.11122087112892851, 0.11118578184084944, 0.11115423381909127, 0.1111259615122243, 0.11110072874355463, 0.11107832629069006, 0.11105856972706515, 0.11104129751126121, 0.11102636930946845, 0.11101366453673857, 0.11100308110349784, 0.11099453435498384, 0.11098795619268212, 0.11098329436839889, 0.11098051194325204, 0.11097958690555089, 0.11097973721022543, 0.11098018830307156, 0.11098094072085392, 0.11098199535916999, 0.11098335347394152, 0.11098501668350405, 0.11098698697130795, 0.11098926668923403, 0.11099185856153518, 0.11099476568941712, 0.11099799155627002, 0.11100154003356758, 0.11100541538745282, 0.1110096222860254, 0.11101416580736127, 0.11101905144827927, 0.11102428513388934, 0.11102987322794634, 0.11103582254404493, 0.11104214035768828, 0.11104883441926627, 0.11105591296799038, 0.11106338474681968, 0.11107125901843296, 0.11107954558229292, 0.11108825479285982, 0.1110973975790102, 0.11110698546472546, 0.11111703059111833, 0.11112754573986622, 0.11113854435813217, 0.11115004058505394, 0.11116204927989137, 0.11117458605192637, 0.11118766729221698, 0.111201310207316, 0.11121553285506995, 0.11123035418262428, 0.11124579406676717, 0.11126187335676049, 0.11127861391980809, 0.11129603868932927, 0.11131417171621662, 0.11133303822326938, 0.1113526646630088, 0.11137307877909927, 0.11139430967161386, 0.11141638786640577, 0.11143934538886366, 0.1114632158423577, 0.11148803449170482, 0.11151383835201215, 0.11154066628328931, 0.11156855909125603, 0.11159755963481402, 0.11162771294069342, 0.11165906632584009, 0.11169166952816684, 0.11172557484635787, 0.11176083728949518, 0.11179751473736446, 0.11183566811240017, 0.1118753615643482, 0.11191666266886909, 0.11195964264146752, 0.11200437656832302, 0.11205094365583755, 0.11209942750097404, 0.11214991638479885, 0.11220250359201552, 0.11225728775975577, 0.11231437325944396, 0.11237387061623048, 0.11243589697131273, 0.11250057659344267, 0.11256804144714028, 0.11263843182659436, 0.11271189706603414, 0.11278859633955735, 0.11286869956610555, 0.11295238843859735, 0.11303985760033911, 0.11313131599688826, 0.11322698843782024, 0.11332711741062484, 0.11343196519863402, 0.11354181636693476, 0.11365698069528794, 0.11377779665593801, 0.11390463555789185, 0.1140379065091062, 0.11417806238571993, 0.11432560704529253, 0.11448110408181465, 0.11464518749792572, 0.11481857476932747, 0.11500208290457729, 0.11519664826921865, 0.11540335115863468, 0.11562344638526677, 0.11585840151494442, 0.11610994487376732, 0.11638012609188847, 0.11667139280889853, 0.11698668831218245, 0.1173295764158629, 0.11770440194805991, 0.11811649797274207, 0.11857245454508367, 0.11908046862815537, 0.11965080099600715, 0.12029637353897366, 0.12103354882721246, 0.12188314108197712, 0.12287170844385403, 0.12403315758468816, 0.12541062390736338, 0.1270584109676437, 0.12904335469334369, 0.13144408877087732, 0.134344971742415, 0.13781859161868629, 0.14188740232566976, 0.14645511523746099, 0.15121286219503702, 0.1555683050245161, 0.15870429461850494, 0.1598561425178967, 0.15870429461850694, 0.15556830502451605, 0.1512128621950328, 0.1464551152374598, 0.14188740232566949, 0.13781859161867963, 0.13434497174241736, 0.13144408877087843, 0.12904335469334613, 0.12705841096764584, 0.12541062390736246, 0.12403315758468686, 0.12287170844385391, 0.12188314108197744, 0.12103354882721239, 0.12029637353897417, 0.11965080099600658, 0.11908046862815408, 0.11857245454508408, 0.11811649797274257, 0.11770440194805976, 0.11732957641586311, 0.11698668831218229, 0.11667139280889849, 0.11638012609188852, 0.11610994487376704, 0.11585840151494463, 0.11562344638526666, 0.11540335115863465, 0.11519664826921906, 0.11500208290457715, 0.1148185747693275, 0.11464518749792588, 0.11448110408181481, 0.1143256070452925, 0.11417806238571974, 0.11403790650910614, 0.11390463555789193, 0.11377779665593796, 0.11365698069528818, 0.11354181636693483, 0.11343196519863383, 0.11332711741062497, 0.11322698843782027, 0.11313131599688811, 0.11303985760033906, 0.11295238843859741, 0.11286869956610561, 0.11278859633955737, 0.11271189706603424, 0.11263843182659444, 0.11256804144714004, 0.11250057659344256, 0.11243589697131282, 0.11237387061623048, 0.11231437325944388, 0.11225728775975587, 0.1122025035920155, 0.11214991638479867, 0.11209942750097392, 0.11205094365583737, 0.11200437656832302, 0.11195964264146754, 0.11191666266886927, 0.1118753615643482, 0.11183566811240028, 0.11179751473736441, 0.11176083728949504, 0.11172557484635774, 0.11169166952816698, 0.11165906632584011, 0.11162771294069329, 0.11159755963481409, 0.11156855909125617, 0.11154066628328949, 0.11151383835201217, 0.1114880344917048, 0.11146321584235766, 0.11143934538886352, 0.11141638786640573, 0.11139430967161405, 0.11137307877909923, 0.11135266466300868, 0.11133303822326934, 0.11131417171621664, 0.1112960386893293, 0.11127861391980816, 0.11126187335676045, 0.11124579406676702, 0.11123035418262428, 0.11121553285507002, 0.11120131020731597, 0.11118766729221685, 0.11117458605192639, 0.11116204927989147, 0.11115004058505405, 0.11113854435813203, 0.1111275457398662, 0.11111703059111815, 0.11110698546472537, 0.11109739757901024, 0.1110882547928599, 0.11107954558229287, 0.11107125901843284, 0.11106338474681959, 0.11105591296799029, 0.11104883441926645, 0.11104214035768815, 0.11103582254404507, 0.11102987322794645, 0.11102428513388937, 0.11101905144827923, 0.11101416580736133, 0.11100962228602561, 0.11100541538745277, 0.11100154003356771, 0.11099799155627002, 0.11099476568941712, 0.11099185856153522, 0.11098926668923399, 0.11098698697130795, 0.11098501668350408, 0.11098335347394139, 0.1109819953591701, 0.11098094072085396, 0.11098018830307167, 0.11097973721022548, 0.11097958690555063, 0.11097966205288801, 0.1109798875242911, 0.11098026340794094, 0.1109807898508257, 0.11098146705877256, 0.11098229529649165, 0.11098327488762967, 0.110984406214838, 0.11098568971985105, 0.1109871259035748, 0.11098871532618711, 0.11099045860724652, 0.11099235642581233, 0.1109944095205701, 0.1109966186899678, 0.11099898479235708, 0.11100150874614115, 0.11100419152992658, 0.11100703418268033, 0.11101003780388595, 0.11101320355370503, 0.11101653265313431, 0.11102002638416193, 0.1110236860899203, 0.11102751317483193, 0.11103150910474853, 0.11103567540707754, 0.11104001367089993, 0.11104452554706924, 0.111049212748294, 0.11105407704920026, 0.11105912028636905, 0.11106434435834653, 0.11106975122562295, 0.11107534291057827, 0.11108112149738628, 0.11108708913187748, 0.11109324802135163, 0.1110996004343395, 0.11110614870030401, 0.111112895209277, 0.11111984241142767, 0.11112699281655102, 0.1111343489934746, 0.11114191356937246, 0.11114968922898084, 0.11115767871370653, 0.11116588482061797, 0.11117431040131133, 0.11118295836064042, 0.1111918316553018, 0.11120093329226108, 0.11121026632701085, 0.11121983386164749, 0.111229639042753, 0.11123968505906809, 0.11124997513894436, 0.11126051254755424, 0.11127130058385078, 0.11128234257725374, 0.11129364188404685, 0.11130520188346854, 0.11131702597347377, 0.11132911756615091, 0.11134148008276812, 0.111354116948431, 0.11136703158632578, 0.11138022741152757, 0.11139370782434527, 0.11140747620318256, 0.11142153589688586, 0.11143589021655365, 0.11145054242678129, 0.11146549573631347, 0.11148075328807555, 0.11149631814855694, 0.11151219329652008, 0.11152838161100383, 0.11154488585859819, 0.11156170867996026, 0.11157885257554961, 0.11159631989055613, 0.1116141127989977, 0.11163223328697214, 0.11165068313503848, 0.11166946389972078, 0.11168857689411776, 0.11170802316761762, 0.11172780348471134, 0.11174791830291696, 0.11176836774981944, 0.11178915159925217, 0.11181026924664682, 0.11183171968358926, 0.11185350147163708, 0.11187561271545403, 0.11189805103534869, 0.11192081353930197, 0.11194389679459602, 0.11196729679917712, 0.11199100895289466, 0.11201502802879519, 0.1120393481446607, 0.11206396273501695, 0.11208886452385769, 0.1121140454983625, 0.11213949688392179, 0.11216520912080342, 0.1121911718428409, 0.11221737385855143, 0.11224380313513312, 0.11227044678581725, 0.11229729106110389, 0.1123243213444283, 0.11235152215285789, 0.11237887714343807, 0.11240636912585089, 0.11243398008207121, 0.11246169119373443, 0.11248948287794994, 0.11251733483230894, 0.11254522608984759, 0.11257313508472172, 0.11260103972934854, 0.11262891750374569, 0.11265674555778102, 0.11268450082699112, 0.11271216016258982, 0.11279433296143788, 0.11287483432227258, 0.11295312875672271, 0.11302880489855288, 0.11310164436387131, 0.11317169978439032, 0.11323937943937404, 0.11330553535660171, 0.11337155187008748, 0.11343943269934385, 0.11351188685560261, 0.11359241717089008, 0.11368541997932471, 0.11379631046440583, 0.11393169564509446, 0.11409962664352266, 0.11430997542612302, 0.11457500187913937, 0.1149102108141301, 0.11533565616840463, 0.1158779516929834, 0.1165734338372028, 0.11747327570113446, 0.11865204944566637, 0.12022268909181179, 0.12236402558196691, 0.12537473379689476, 0.12978747149649225, 0.1366347550026204, 0.14814960649926948, 0.16993688548976027, 0.21929519174146134, 0.36416836740009001, 0.69676155645683946, 0.35812631733016975, 0.17461482304027001, 0.12783016697258673, 0.11183269229570401, 0.10498060120026434, 0.10154629996085858, 0.099601966024478183, 0.098386556783238405, 0.097577392463193677, 0.097059821421307063, 0.09687268077788326, 0.097275402967839375, 0.099053243178789135, 0.10467070930985932, 0.12367494882331509, 0.20981956184585757, 0.70589457342277329, 0.47471131670405958, 0.24045586143817804, 0.17657563591321235, 0.15096847093307886, 0.13789766474647042, 0.13015982607231039, 0.1251030810134304, 0.12155656661636335, 0.11893326109390288, 0.1169101223325492, 0.11529641804839838, 0.11397335227785285, 0.11286400909328873, 0.11191745322078563, 0.11110001505304595, 0.11039056169097547, 0.10977827407648617, 0.10926235553875023, 0.1088537263299186, 0.1085794368904084, 0.10849162321061843, 0.10868502104338038, 0.1093320186460524, 0.11075648943606983, 0.11360078456157352, 0.1192396057904901, 0.13093129769170384, 0.15751162116510578, 0.22718299610809595, 0.43545731360526202, 0.78294365456240311, 0.56828506745698359, 0.34287974041571012, 0.24659545722012349, 0.20124452324813885, 0.17657382223964008, 0.16158837640488369, 0.15171634072228207, 0.14480428496616912, 0.13973177370099468, 0.13586817987729682, 0.13283553706062134, 0.13039543515966795, 0.128391010307702, 0.12671534025690231, 0.12529332894927886, 0.12407086441804489, 0.12300808399630704, 0.12207505351887595, 0.12124891563364081, 0.12051196001835966, 0.11985028804279986, 0.11925287012148302, 0.11871086816862272, 0.11821714055431123, 0.1177658749397907, 0.11735231216903588, 0.1169725359536299, 0.11662331073871812, 0.11630195529041541, 0.11600624307149519, 0.11573432292219087, 0.11548465528908375, 0.11525596047731508, 0.11504717629206265, 0.11485742308660725, 0.11468597471594454, 0.11453223425472199, 0.11439571360953545, 0.11427601636191614, 0.11417282333624659, 0.11408588050843453, 0.11401498896519648, 0.11395999669667436, 0.1139207920618206, 0.11389729881021698, 0.11388947257883308, 0.11389468963673038, 0.11391034532027439, 0.11393645332755661, 0.11397303705150173, 0.11402013042762413, 0.11407777912828522, 0.11414604211139481, 0.11422499353449986, 0.11431472504882817, 0.1144153484921934, 0.11452699900489893, 0.11464983859911002, 0.11478406021976961, 0.11492989234427936, 0.11508760417914883, 0.11525751152493914, 0.11543998339659971, 0.11563544950510997, 0.11584440872896597, 0.11606743873118505, 0.11630520691016634, 0.11655848291219027, 0.11682815298105406, 0.1171152364783456, 0.1174209049785024, 0.11774650442922845, 0.11809358097393302, 0.11846391116348713, 0.11885953744604784, 0.11928281002385628, 0.11973643641480335, 0.12022354036691597, 0.12074773216185362, 0.12131319282938659, 0.1219247754043659, 0.12258812712286504, 0.12330983741467047, 0.12409761775335776, 0.12496052092983097, 0.12590920918536197, 0.12695628294384134, 0.12811668468084203, 0.12940819578997129, 0.13085204811170087, 0.13247367587718215, 0.13430363768473977, 0.13637874069449918, 0.13874339839354863, 0.14145124514346177, 0.14456700830076147, 0.14816858998394697, 0.15234921562965667, 0.15721933390069917, 0.16290765613486155, 0.16956024355508009, 0.17733582828293273, 0.186394580646425, 0.19687646411021281, 0.2088646757310153, 0.22233062167235773, 0.23706132317336145, 0.25258001086599896, 0.26808559893211703, 0.28245063309638352, 0.29431734487966649, 0.302305495413906, 0.30529694799455259, 0.30271462440336117, 0.29469670965705191, 0.28209299912823627, 0.26627226436686002, 0.24880577916345226, 0.23114402771776332, 0.21439461332354812, 0.19924531701194031, 0.18600615385713359, 0.17471103541099509, 0.16522634837543007, 0.15733782249239786, 0.15080832660146304, 0.14541070266944262, 0.14094319119402482, 0.13723432551753892, 0.13414222507441373, 0.13155136211914387, 0.12936852589439021, 0.127518852833826, 0.12594229878565461, 0.12459066796883307, 0.12342518723215158, 0.12241456173296496, 0.121533433234552, 0.1207611648056492, 0.1200808852732375, 0.119478738132631, 0.11894329040691905, 0.11846506627515771, 0.11803617796111948, 0.11765003250569971, 0.11730109786095212, 0.11698471548530494, 0.11669694950940034, 0.11643446476726481, 0.11619442769931232, 0.11597442545116038, 0.11577239950783171, 0.11558659098766395, 0.11541549532840431, 0.11525782457090304, 0.11511247581494786, 0.11497850471105769, 0.114855103079691, 0.11474157992921878, 0.11463734528681471, 0.11454189637024144, 0.11445480571965325, 0.11437571098179407, 0.11430430609809691, 0.11424033369606852, 0.11418357852224209, 0.11413386178665344, 0.11409103631466885, 0.11405498242311952, 0.11402560445504671, 0.11400282792157167, 0.113986597211145, 0.1139768738361822, 0.11397363519527037], [0.11801336048817058, 0.11802073401620633, 0.11804287848922347, 0.11807986643639498, 0.11813182164107697, 0.11819892358784558, 0.11828141388512139, 0.11837960487695823, 0.11849389074422086, 0.11862476150453143, 0.1187728204610989, 0.11893880583523361, 0.11912361756343351, 0.11932835057201753, 0.11955433629598443, 0.11980319483631958, 0.12007690102910544, 0.12037786894790875, 0.12070906115852048, 0.12107413167429683, 0.12147761547025444, 0.12192518333490665, 0.12242398998352438, 0.12298315779012768, 0.12361446182773576, 0.12433332063662761, 0.12516026336035369, 0.12612316093615775, 0.12726072384466855, 0.12862818049230385, 0.13030687888443448, 0.13242132169688201, 0.13517118194372665, 0.13889585845488234, 0.14421659783178833, 0.15238676887301364, 0.16629510599058392, 0.19400618706243419, 0.26559095628537371, 0.53501355920089466, 0.54347987393477948, 0.18255141999746732, 0.12598730514852535, 0.1136301267402582, 0.11040896043047309, 0.10978668493647187, 0.11003775865150503, 0.11060072423009562, 0.11126862486175791, 0.11196010631309544, 0.11264307312385989, 0.11330605063576599, 0.11394648333239144, 0.11456564500280675, 0.11516632180706031, 0.11575172095919105, 0.11632493989736845, 0.11688869478128622, 0.11744516621463615, 0.11799589319718153, 0.11854168170463655, 0.11908251269318088, 0.1196174450992588, 0.12014451696993081, 0.12066065429078021, 0.12116160317463014, 0.12164190674335211, 0.12209495241240693, 0.12251311681283081, 0.12288803222478835, 0.12321098816980611, 0.12347346367316034, 0.12366776066336717, 0.12378768094854084, 0.12382916505746769, 0.12379079929570153, 0.12367410456808045, 0.12348354899230433, 0.12322627128747407, 0.12291155232987383, 0.12255011453388012, 0.1221533518376309, 0.12173259267257605, 0.12129847758427467, 0.12086050070123455, 0.1204267300020547, 0.12000369320838664, 0.1195963981752781, 0.11920844915277526, 0.11884222106213695, 0.11849905981909005, 0.11817948480280124, 0.11788337766885602, 0.11761014860601329, 0.11735887635732084, 0.11712842187588085, 0.11691751762884539, 0.11672483564980175, 0.11654903780469283, 0.1163888116543704, 0.11624289497063631, 0.11611009152981029, 0.11598928035431423, 0.11587942014705391, 0.11577955028899119, 0.11568878945504955, 0.11560633264635557, 0.11553144723201338, 0.1154634684336804, 0.11540179456331857, 0.11534588223144226, 0.11529524167365436, 0.11524943229202389, 0.11520805847061558, 0.11517076569786018, 0.11513723700978548, 0.11510718975537822, 0.11508037267692768, 0.11505656329296408, 0.11503556556843106, 0.11501720785538497, 0.11500134108729727, 0.11498783721060847, 0.11497658783826589, 0.11496750311142012, 0.11496051075710362, 0.11495555533149432, 0.11495259764022139, 0.11495161432905476, 0.11495177430884505, 0.11495225443901341, 0.11495305529227201, 0.11495417782420717, 0.11495562337488394, 0.11495739367109678, 0.1149594908292768, 0.11496191735906199, 0.11496467616754154, 0.11496777056418887, 0.1149712042664959, 0.11497498140632695, 0.11497910653701364, 0.11498358464120574, 0.11498842113951337, 0.11499362189995456, 0.11499919324824827, 0.11500514197897643, 0.11501147536765707, 0.11501820118376097, 0.11502532770471381, 0.11503286373093319, 0.11504081860194096, 0.11504920221360793, 0.11505802503658466, 0.11506729813597882, 0.1150770331923425, 0.11508724252403911, 0.11509793911106594, 0.11510913662040748, 0.11512084943301019, 0.11513309267246627, 0.11514588223550702, 0.11515923482441021, 0.11517316798143362, 0.11518770012539892, 0.11520285059055228, 0.11521863966784461, 0.11523508864877739, 0.1152522198719806, 0.11527005677269107, 0.11528862393531951, 0.11530794714930688, 0.11532805346848557, 0.11534897127417854, 0.11537073034228823, 0.11539336191464593, 0.11541689877491813, 0.1154413753293851, 0.11546682769294112, 0.11549329378069213, 0.11552081340555891, 0.11554942838233602, 0.11557918263869373, 0.11561012233366348, 0.11564229598419484, 0.11567575460043757, 0.11571055183046963, 0.11574674411527036, 0.11578439085483046, 0.11582355458639579, 0.11586430117596216, 0.11590670002427772, 0.11595082428877962, 0.1159967511230814, 0.11604456193585208, 0.11609434267120763, 0.11614618411303734, 0.11620018221608737, 0.1162564384670557, 0.11631506027951415, 0.11637616142711198, 0.11643986252030702, 0.11650629153282474, 0.11657558438518505, 0.11664788559405187, 0.11672334899785422, 0.11680213857121696, 0.11688442934328744, 0.11697040843818003, 0.11706027625960146, 0.11715424784648186, 0.11725255443229465, 0.11735544524802441, 0.11746318961776887, 0.11757607940720129, 0.11769443189914722, 0.11781859318808938, 0.11794894220744487, 0.11808589553119732, 0.11822991312650329, 0.11838150527826817, 0.11854124096315832, 0.11870975802258608, 0.11888777557664131, 0.1190761092399678, 0.11927568985463838, 0.11948758665542122, 0.11971303604482014, 0.1199534774997259, 0.12021059858708799, 0.12048639167201899, 0.12078322571269559, 0.12110393762790997, 0.12145194920009027, 0.12183141748499102, 0.1222474294401967, 0.12270625523300187, 0.12321567981070908, 0.12378543928113733, 0.12442779800501216, 0.12515831455337909, 0.12599685994901438, 0.12696896869456925, 0.12810761724783526, 0.12945552236704996, 0.13106799937528998, 0.13301623929448775, 0.13539038206275528, 0.13830063348707289, 0.14187228642047667, 0.14622610244512851, 0.15142924965290561, 0.15739872945754485, 0.1637558980130831, 0.16969597054651508, 0.17404212598286095, 0.17565271972531649, 0.17404212598286334, 0.16969597054651511, 0.16375589801307749, 0.15739872945754269, 0.15142924965290538, 0.14622610244512013, 0.14187228642047983, 0.13830063348707419, 0.13539038206275822, 0.13301623929449016, 0.13106799937528896, 0.12945552236704852, 0.12810761724783512, 0.12696896869456956, 0.12599685994901436, 0.12515831455337978, 0.12442779800501154, 0.12378543928113589, 0.12321567981070956, 0.12270625523300245, 0.12224742944019658, 0.12183141748499124, 0.12145194920009002, 0.12110393762790997, 0.12078322571269562, 0.12048639167201873, 0.12021059858708825, 0.11995347749972582, 0.1197130360448201, 0.11948758665542164, 0.11927568985463823, 0.11907610923996777, 0.1188877755766415, 0.11870975802258633, 0.1185412409631583, 0.11838150527826796, 0.11822991312650316, 0.11808589553119737, 0.11794894220744478, 0.11781859318808958, 0.11769443189914743, 0.11757607940720111, 0.11746318961776904, 0.11735544524802448, 0.11725255443229446, 0.1171542478464818, 0.1170602762596015, 0.11697040843818013, 0.11688442934328747, 0.11680213857121707, 0.11672334899785436, 0.11664788559405161, 0.11657558438518491, 0.11650629153282481, 0.116439862520307, 0.11637616142711181, 0.11631506027951423, 0.11625643846705574, 0.11620018221608719, 0.11614618411303718, 0.1160943426712074, 0.11604456193585215, 0.11599675112308136, 0.11595082428877976, 0.11590670002427765, 0.11586430117596223, 0.11582355458639579, 0.11578439085483042, 0.11574674411527026, 0.1157105518304698, 0.11567575460043751, 0.11564229598419473, 0.11561012233366354, 0.11557918263869385, 0.11554942838233623, 0.11552081340555895, 0.11549329378069212, 0.1154668276929411, 0.11544137532938496, 0.11541689877491818, 0.11539336191464612, 0.11537073034228817, 0.11534897127417844, 0.11532805346848551, 0.11530794714930692, 0.11528862393531958, 0.11527005677269109, 0.1152522198719805, 0.11523508864877725, 0.11521863966784462, 0.11520285059055232, 0.1151877001253989, 0.11517316798143347, 0.11515923482441019, 0.11514588223550713, 0.11513309267246635, 0.11512084943301001, 0.11510913662040743, 0.11509793911106569, 0.11508724252403911, 0.11507703319234255, 0.11506729813597888, 0.11505802503658455, 0.11504920221360787, 0.11504081860194088, 0.11503286373093312, 0.11502532770471398, 0.11501820118376091, 0.11501147536765721, 0.11500514197897656, 0.11499919324824827, 0.11499362189995459, 0.11498842113951344, 0.11498358464120596, 0.11497910653701357, 0.11497498140632711, 0.11497120426649586, 0.1149677705641889, 0.11496467616754162, 0.11496191735906193, 0.11495949082927683, 0.11495739367109682, 0.11495562337488384, 0.11495417782420721, 0.11495305529227204, 0.1149522544390135, 0.11495177430884511, 0.11495161432905454, 0.11495169431359646, 0.11495193429836029, 0.11495233437676791, 0.11495289470454403, 0.11495361549974997, 0.11495449704283062, 0.11495553967667202, 0.11495674380667396, 0.11495810990083409, 0.11495963848984252, 0.1149613301671894, 0.1149631855892813, 0.11496520547556985, 0.11496739060868651, 0.11496974183458834, 0.11497226006270957, 0.11497494626612079, 0.11497780148169155, 0.11498082681025962, 0.11498402341679882, 0.11498739253059354, 0.11499093544540774, 0.11499465351965438, 0.11499854817656097, 0.11500262090432799, 0.11500687325628027, 0.11501130685100626, 0.1150159233724872, 0.11502072457020734, 0.11502571225924726, 0.11503088832035598, 0.11503625469999702, 0.11504181341036641, 0.1150475665293775, 0.11505351620061159, 0.11505966463322473, 0.11506601410181153, 0.11507256694621665, 0.11507932557129223, 0.11508629244659321, 0.11509347010600365, 0.11510086114729304, 0.11510846823158741, 0.11511629408275595, 0.11512434148669938, 0.11513261329053621, 0.11514111240167565, 0.11514984178676808, 0.11515880447052437, 0.11516800353439201, 0.11517744211507988, 0.11518712340291573, 0.11519705064002832, 0.11520722711833771, 0.11521765617734296, 0.11522834120168933, 0.11523928561850481, 0.11525049289448189, 0.1152619665326975, 0.11527371006914516, 0.11528572706896523, 0.11529802112235271, 0.11531059584012091, 0.11532345484890308, 0.11533660178596562, 0.11535004029361424, 0.11536377401316497, 0.11537780657846022, 0.11539214160889898, 0.11540678270196, 0.11542173342518794, 0.11543699730761514, 0.11545257783059315, 0.11546847841800312, 0.11548470242581743, 0.11550125313098311, 0.11551813371959979, 0.11553534727436061, 0.11555289676123125, 0.11557078501533699, 0.11558901472603444, 0.11560758842114055, 0.11562650845029658, 0.11564577696744964, 0.11566539591242832, 0.11568536699160456, 0.11570569165762633, 0.11572637108822013, 0.1157474061640591, 0.11576879744570912, 0.11579054514966082, 0.11581264912347489, 0.11583510882007106, 0.11585792327120165, 0.11588109106017017, 0.11590461029385392, 0.11592847857412589, 0.11595269296876533, 0.11597724998197889, 0.11600214552467283, 0.11602737488462868, 0.11605293269677364, 0.11607881291374531, 0.11610500877699345, 0.11613151278867745, 0.11615831668465673, 0.11618541140890504, 0.11621278708970406, 0.11624043301801874, 0.11626833762848733, 0.11629648848350008, 0.11632487226087253, 0.11635347474566941, 0.11638228082676044, 0.11641127449873953, 0.116440438869862, 0.11646975617670043, 0.11649920780624239, 0.1165287743261829, 0.1165584355241879, 0.11658817045691773, 0.11661795750961416, 0.11664777446704951, 0.11667759859663519, 0.11670740674446169, 0.11673717544502372, 0.1167668810453279, 0.11679649984404147, 0.11688460105563389, 0.11697109886866996, 0.11705545571179735, 0.11713726985130204, 0.11721634887085516, 0.11729279308138155, 0.11736708629007593, 0.11744019083741758, 0.1175136440186883, 0.11758965425127192, 0.11767119786032605, 0.11776212125211166, 0.11786725856894051, 0.11799258176587202, 0.11814540879638878, 0.11833470726464088, 0.11857154768891533, 0.11886978664061341, 0.11924710326570874, 0.11972658753386889, 0.12033921272873087, 0.12112777372540481, 0.12215335341526869, 0.12350635237831661, 0.12532619752353902, 0.12783860085967955, 0.13143100837793781, 0.13681896121492754, 0.14545466321974035, 0.16068118913213694, 0.1916574875348819, 0.27018461345361344, 0.52009315199000505, 0.59344519117628092, 0.23893415352447869, 0.14721000470049236, 0.12073528181242735, 0.11066785328377453, 0.10604461512086621, 0.10360225248330998, 0.10214936130773955, 0.10118931913951124, 0.10050499989682285, 0.10002111788028074, 0.099775017562307652, 0.099972053417357057, 0.10121197952522117, 0.10529723559706254, 0.11872664552364957, 0.17394775740334012, 0.50646510891979424, 0.62604502077078139, 0.28315179769646098, 0.19441068813162041, 0.16170761205754192, 0.14582968511438515, 0.13672291932939817, 0.13089841071559888, 0.1268763085729927, 0.12393557937756032, 0.12168770445995396, 0.11990685752827848, 0.11845394126178789, 0.11723946199848635, 0.11620412651796726, 0.1153082301859316, 0.11452578025557113, 0.11384144865673808, 0.11324951716043576, 0.11275463291473935, 0.11237477952030803, 0.11214768653583118, 0.11214342392672652, 0.11248921967323804, 0.11342034777127437, 0.11539111774564605, 0.11933738880060193, 0.12736468700577089, 0.14479966807181222, 0.18730949681719258, 0.30830973935350703, 0.63663045130196427, 0.72979316590968946, 0.43730318354072012, 0.29048907695554632, 0.22560423820313677, 0.19247703818562745, 0.17328678303658251, 0.16107896428888366, 0.15275359372046818, 0.14676697042356818, 0.14227994306342071, 0.13880342659756301, 0.13603587511475457, 0.13378259502348136, 0.13191296431960298, 0.13033646687076816, 0.12898862669801406, 0.12782241679196063, 0.12680282753651068, 0.12590332771910073, 0.12510349670403226, 0.12438740247371911, 0.12374246697568531, 0.12315865720218237, 0.12262789851728814, 0.12214364246063224, 0.12170054374233419, 0.12129421560911093, 0.12092104225271959, 0.12057803327318793, 0.12026270951745344, 0.11997301258674557, 0.11970723238717247, 0.1194639485748257, 0.11924198280824422, 0.11904035949330657, 0.11885827327377087, 0.11869506194315829, 0.11855018377079288, 0.11842319847501021, 0.1183137512597605, 0.11822155947147288, 0.11814640154153142, 0.11808810796365385, 0.11804655412072619, 0.11802165482655773, 0.11801336048817058, 0.11801888957547106, 0.1180354819881313, 0.11806315336328008, 0.11810193038017497, 0.11815185169061952, 0.11821296923048856, 0.1182853499219285, 0.11836907777938646, 0.11846425643691985, 0.11857101211938346, 0.11868949708627399, 0.11881989358449581, 0.11896241835530448, 0.11911732775151608, 0.11928492353410151, 0.11946555943291344, 0.11965964857513675, 0.11986767190764142, 0.12009018776670831, 0.12032784278151096, 0.12058138433759279, 0.1208516748750198, 0.12113970835489386, 0.12144662930016706, 0.12177375490540057, 0.12212260081954253, 0.12249491134133557, 0.122892694935472, 0.12331826618803358, 0.12377429558353793, 0.12426386881789772, 0.12479055778105402, 0.12535850587493877, 0.12597253100924885, 0.12663825048161317, 0.12736223305496569, 0.12815218496458597, 0.12901717841226962, 0.12996793345292096, 0.13101716719807341, 0.13218002813462187, 0.13347463830369605, 0.13492277234777533, 0.13655071025220999, 0.13839031013989661, 0.1404803586482074, 0.14286826859472398, 0.1456122050256633, 0.14878372722362884, 0.15247102731067486, 0.15678280912598191, 0.16185275327370507, 0.16784430103225734, 0.17495506982390255, 0.18341944552831271, 0.19350659545499516, 0.20550913833695364, 0.21971504429224623, 0.23635278126244166, 0.2554995914749818, 0.27694968629203259, 0.300058881577834, 0.32361565947795962, 0.34582082450165802, 0.36445457668152903, 0.37724417540229871, 0.382344615637427, 0.3787840753996301, 0.36674073503964694, 0.34756284882110866, 0.32349102003526375, 0.29713458444254381, 0.27088609502276972, 0.24650429101773363, 0.22498409472653735, 0.20666486385284691, 0.19144421241552964, 0.17898544587166049, 0.16886748720129657, 0.16067297865849897, 0.15403023594179671, 0.1486270518338472, 0.14420988875927152, 0.14057681463745114, 0.13756867482661178, 0.13506061460287291, 0.13295476845115003, 0.13117429350831841, 0.12965864711767616, 0.12835991329985802, 0.12723997171586432, 0.12626832519088446, 0.12542043416172646, 0.12467643810338556, 0.12402017125908933, 0.12343840201761352, 0.12292024245457095, 0.12245668768248735, 0.12204025457646553, 0.12166469689534938, 0.12132477940223713, 0.12101609777052022, 0.12073493419841932, 0.12047814101346561, 0.12024304632752435, 0.12002737715028329, 0.11982919639381814, 0.11964685098371869, 0.11947892889326289, 0.11932422338075935, 0.1191817030696522, 0.11905048679110623, 0.11892982232818233, 0.11881906837343235, 0.11871767914836899, 0.11862519124189394, 0.11854121231151427, 0.11846541136077504, 0.11839751036237767, 0.11833727704175703, 0.11828451867260942, 0.11823907676572284, 0.11820082255675783, 0.11816965321849721, 0.11814548873931183, 0.11812826942294991, 0.11811795397582271, 0.11811451815721749], [0.1221507498009959, 0.12215855214755585, 0.12218198522746379, 0.12222112810227025, 0.12227611570709734, 0.12234714370533278, 0.12243447550475683, 0.12253845167360193, 0.12265950209212223, 0.12279816129779182, 0.12295508764060814, 0.12313108707331151, 0.12332714267965809, 0.12354445142055979, 0.12378447009410469, 0.12404897322182128, 0.12434012658065041, 0.12466058153537427, 0.12501359740197229, 0.12540320212194622, 0.12583440608486401, 0.12631349087415722, 0.12684840548910523, 0.12744931971664494, 0.12812941219951293, 0.12890601738129284, 0.12980233595088736, 0.13085005701956395, 0.13209350684294738, 0.13359645633453712, 0.13545377719805357, 0.13781243283227568, 0.1409116474562207, 0.14516572857185628, 0.1513516250165178, 0.16108852946246535, 0.17828176964968068, 0.21458619724239497, 0.31775137183423724, 0.69080663024386613, 0.37656018859349621, 0.1606658328370443, 0.12452571911122735, 0.11594809344474, 0.11375998834496474, 0.11350157260683247, 0.11390784394830492, 0.11454954114220686, 0.11526492168286573, 0.11599017252082222, 0.11670068800742656, 0.11738845020388777, 0.11805261238691458, 0.11869535156038408, 0.11931996603080833, 0.11992997543298427, 0.1205286807849302, 0.1211189359204564, 0.12170301178446956, 0.12228249560385546, 0.12285819664274367, 0.12343004603348601, 0.1239969878203219, 0.12455686558890779, 0.12510631565152247, 0.12564068435579956, 0.12615399346696998, 0.12663898270753421, 0.1270872606088615, 0.12748959145516661, 0.12783633491351964, 0.12811803460792331, 0.12832612341019425, 0.128453681000572, 0.12849615119652849, 0.12845191239008807, 0.12832260233629039, 0.1281131310856865, 0.12783136750878868, 0.12748754272449375, 0.12709346196013036, 0.12666164221749665, 0.12620449173495352, 0.12573362264850071, 0.12525935061154894, 0.12479039603863092, 0.12433377007213278, 0.12389480872647657, 0.12347731099816558, 0.12308373832567508, 0.12271543994292615, 0.12237287803472702, 0.12205583578911271, 0.12176359913035753, 0.12149510863475625, 0.12124908194570257, 0.12102410924892257, 0.12081872545446033, 0.12063146304135071, 0.12046088936031479, 0.12030563178147488, 0.12016439356599011, 0.1200359628229664, 0.11991921643556129, 0.11981312042552295, 0.11971672787965834, 0.11962917528205277, 0.11954967787475619, 0.11947752449816894, 0.11941207223144482, 0.11935274105473526, 0.11929900868198849, 0.11925040565950697, 0.11920651078687138, 0.11916694688948368, 0.11913137695300584, 0.11909950061717856, 0.11907105101822134, 0.11904579196400951, 0.11902351542354173, 0.11900403931117724, 0.11898720554622329, 0.11897287836933573, 0.11896094289857401, 0.11895130390967208, 0.11894388482699464, 0.11893862691366719, 0.1189354886514509, 0.11893444530302565, 0.11893461526468399, 0.11893512535285503, 0.11893597617747093, 0.11893716875623024, 0.11893870451632228, 0.11894058529684509, 0.11894281335192965, 0.11894539135457582, 0.11894832240121406, 0.11895161001700655, 0.11895525816190371, 0.11895927123747406, 0.11896365409453191, 0.11896841204157925, 0.11897355085409929, 0.11897907678471822, 0.118984996574278, 0.11899131746384675, 0.11899804720771141, 0.1190051940873894, 0.11901276692670452, 0.11902077510798106, 0.11902922858940017, 0.11903813792358181, 0.11904751427745033, 0.11905736945345008, 0.11906771591218102, 0.11907856679653052, 0.11908993595738476, 0.11910183798100331, 0.11911428821815521, 0.11912730281511499, 0.11914089874662755, 0.11915509385095935, 0.1191699068671586, 0.11918535747466204, 0.11920146633538982, 0.11921825513848533, 0.11923574664786364, 0.11925396475275322, 0.11927293452141963, 0.11929268225827987, 0.1193132355646339, 0.11933462340325325, 0.11935687616708886, 0.11938002575238209, 0.11940410563648252, 0.11942915096070854, 0.1194551986186064, 0.11948228735000362, 0.11951045784128358, 0.11953975283234546, 0.11957021723076171, 0.11960189823369058, 0.11963484545816098, 0.11966911108040319, 0.11970474998497663, 0.11974181992452249, 0.11978038169106203, 0.11982049929986958, 0.11986224018707016, 0.11990567542225537, 0.11995087993757107, 0.11999793277493091, 0.12004691735322988, 0.12009792175769425, 0.12015103905382971, 0.12020636762878266, 0.12026401156338916, 0.12032408103869562, 0.12038669278137855, 0.12045197055323785, 0.12052004569085074, 0.12059105770258066, 0.12066515493145315, 0.12074249529404557, 0.12082324710749778, 0.1209075900191626, 0.12099571605636139, 0.12108783081733016, 0.1211841548288848, 0.12128492510183647, 0.12139039692196747, 0.12150084592280402, 0.12161657049688447, 0.12173789461526992, 0.12186517114135051, 0.12199878574545105, 0.122139161552454, 0.12228676468710402, 0.12244211092276484, 0.12260577369161116, 0.12277839378091694, 0.12296069112552004, 0.123153479216566, 0.1233576827889723, 0.12357435963523827, 0.12380472763544464, 0.1240501984120542, 0.12431241944020499, 0.12459332700680283, 0.12489521316668165, 0.12522081086429618, 0.12557340277771784, 0.12595696134393436, 0.12637633004839766, 0.12683745970286045, 0.12734771851364485, 0.12791630184810548, 0.12855477755543507, 0.12927781657270096, 0.13010417767833746, 0.13105804098746701, 0.13217081765576019, 0.1334836006861814, 0.13505045201680041, 0.13694270875388759, 0.13925434318358035, 0.14210790111609961, 0.14565916545976998, 0.15009543519161672, 0.15561556586642222, 0.16236862762070647, 0.17031738181758552, 0.17900870616120707, 0.18733184400578054, 0.19354054903651546, 0.19586618703297998, 0.19354054903651827, 0.1873318440057804, 0.17900870616119863, 0.17031738181758263, 0.16236862762070653, 0.15561556586641176, 0.15009543519162033, 0.14565916545977162, 0.14210790111610302, 0.13925434318358323, 0.13694270875388648, 0.13505045201679877, 0.1334836006861812, 0.13217081765576047, 0.13105804098746696, 0.13010417767833821, 0.12927781657270029, 0.12855477755543349, 0.12791630184810596, 0.12734771851364549, 0.12683745970286026, 0.12637633004839796, 0.12595696134393414, 0.12557340277771781, 0.12522081086429621, 0.12489521316668135, 0.12459332700680309, 0.12431241944020489, 0.12405019841205417, 0.12380472763544507, 0.12357435963523813, 0.1233576827889723, 0.12315347921656619, 0.12296069112552024, 0.12277839378091691, 0.12260577369161092, 0.12244211092276473, 0.1222867646871041, 0.12213916155245395, 0.12199878574545131, 0.12186517114135066, 0.12173789461526975, 0.12161657049688462, 0.12150084592280411, 0.12139039692196729, 0.12128492510183639, 0.12118415482888488, 0.12108783081733021, 0.1209957160563614, 0.12090759001916276, 0.12082324710749789, 0.12074249529404532, 0.12066515493145302, 0.12059105770258073, 0.12052004569085073, 0.12045197055323768, 0.12038669278137872, 0.12032408103869559, 0.12026401156338892, 0.12020636762878248, 0.12015103905382954, 0.12009792175769429, 0.12004691735322992, 0.11999793277493112, 0.11995087993757102, 0.11990567542225546, 0.11986224018707015, 0.11982049929986946, 0.11978038169106191, 0.1197418199245226, 0.11970474998497661, 0.11966911108040308, 0.11963484545816104, 0.11960189823369073, 0.11957021723076187, 0.11953975283234546, 0.11951045784128361, 0.1194822873500036, 0.11945519861860623, 0.11942915096070857, 0.11940410563648268, 0.119380025752382, 0.1193568761670888, 0.11933462340325321, 0.11931323556463398, 0.11929268225827992, 0.11927293452141968, 0.11925396475275318, 0.11923574664786349, 0.11921825513848541, 0.11920146633538987, 0.11918535747466202, 0.11916990686715845, 0.11915509385095936, 0.11914089874662769, 0.11912730281511509, 0.11911428821815508, 0.11910183798100323, 0.11908993595738454, 0.11907856679653051, 0.1190677159121811, 0.11905736945345015, 0.11904751427745021, 0.11903813792358173, 0.11902922858940003, 0.11902077510798095, 0.11901276692670469, 0.11900519408738927, 0.11899804720771158, 0.11899131746384689, 0.11898499657427798, 0.1189790767847182, 0.11897355085409934, 0.11896841204157953, 0.11896365409453186, 0.11895927123747421, 0.11895525816190368, 0.11895161001700652, 0.11894832240121408, 0.11894539135457581, 0.11894281335192963, 0.11894058529684513, 0.11893870451632216, 0.11893716875623031, 0.11893597617747101, 0.11893512535285518, 0.118934615264684, 0.11893444530302538, 0.11893453027813469, 0.11893478523639808, 0.11893521027663109, 0.11893580556354877, 0.11893657132780237, 0.11893750786602947, 0.11893861554091523, 0.1189398947812704, 0.11894134608212119, 0.11894297000481018, 0.11894476717711193, 0.11894673829335724, 0.11894888411457108, 0.11895120546861682, 0.11895370325035258, 0.11895637842179395, 0.11895923201228467, 0.11896226511867122, 0.11896547890548517, 0.1189688746051235, 0.1189724535180367, 0.1189762170129116, 0.11898016652685406, 0.11898430356556852, 0.11898862970353045, 0.11899314658415133, 0.11899785591993092, 0.11900275949260006, 0.11900785915324319, 0.11901315682240371, 0.11901865449016688, 0.11902435421621665, 0.11903025812986213, 0.11903636843003058, 0.11904268738522408, 0.11904921733343082, 0.11905596068199163, 0.11906291990741164, 0.11907009755511556, 0.11907749623913862, 0.11908511864174469, 0.11909296751297151, 0.11910104567008685, 0.11910935599695679, 0.11911790144331019, 0.11912668502389751, 0.11913570981753027, 0.11914497896599273, 0.11915449567281619, 0.11916426320190367, 0.11917428487599577, 0.11918456407496207, 0.11919510423390822, 0.11920590884108309, 0.11921698143557286, 0.11922832560476518, 0.11923994498157156, 0.11925184324138309, 0.11926402409875184, 0.11927649130377166, 0.11928924863814258, 0.11930229991089775, 0.11931564895377061, 0.11932929961618288, 0.11934325575982647, 0.11935752125281937, 0.11937209996340653, 0.11938699575318515, 0.11940221246982108, 0.1194177539392368, 0.11943362395723611, 0.11944982628054066, 0.11946636461720853, 0.11948324261640547, 0.11950046385749701, 0.11951803183843374, 0.11953594996340028, 0.11955422152969447, 0.11957284971381327, 0.119591837556712, 0.11961118794821483, 0.11963090361054765, 0.11965098708096976, 0.1196714406934891, 0.11969226655963465, 0.11971346654828056, 0.1197350422645059, 0.11975699502749011, 0.11977932584744147, 0.11980203540157189, 0.11982512400912848, 0.11984859160551185, 0.11987243771551451, 0.1198966614257236, 0.11992126135615436, 0.11994623563117662, 0.11997158184983736, 0.11999729705567549, 0.1200233777061577, 0.12004981964188699, 0.12007661805574514, 0.1201037674621728, 0.12013126166680001, 0.12015909373668383, 0.12018725597142872, 0.12021573987550351, 0.12024453613210653, 0.1202736345789549, 0.12030302418642344, 0.1203326930384913, 0.12036262831699782, 0.12039281628974079, 0.12042324230300583, 0.12045389077913958, 0.12048474521983304, 0.12051578821580675, 0.12054700146363576, 0.1205783657904774, 0.12060986118749609, 0.12064146685280332, 0.12067316124474492, 0.12070492214638298, 0.12073672674201477, 0.12076855170657071, 0.12080037330870536, 0.12083216752837983, 0.12086391018967298, 0.12089557710952042, 0.1209898850735573, 0.12108267819253948, 0.1211734199097369, 0.12126172207977461, 0.12134742331829769, 0.12143067811154765, 0.12151205414379057, 0.12159263482699043, 0.12167412433218525, 0.12175895386043092, 0.1218503907128804, 0.12195265608447914, 0.12207106352050105, 0.12221219784406798, 0.12238416466598952, 0.1225969547159569, 0.12286298805922673, 0.12319793627451754, 0.12362197610286413, 0.12416172526345853, 0.12485328785290899, 0.12574717030595592, 0.12691648595791194, 0.1284712276639608, 0.13058438371711742, 0.13354275612310895, 0.13785360951861933, 0.14449068469226595, 0.15553480115045262, 0.17612998284601045, 0.22185438162811344, 0.35322417124222749, 0.68901681448843743, 0.38171396006491287, 0.18230515270981215, 0.1336486778814652, 0.11769143561467753, 0.11108955657672347, 0.10787823616961298, 0.10609820962756791, 0.10498461387749466, 0.10420392229396215, 0.10360670450723629, 0.10314282619324459, 0.1028464149457716, 0.10288135655207023, 0.1037120110900062, 0.1066826964575148, 0.11635177295049158, 0.15322523909058483, 0.3568376228041078, 0.77638108344099899, 0.34215018913305106, 0.21620063936488493, 0.17385197189825186, 0.15441418751890756, 0.14364879525749324, 0.13692311466268101, 0.13235578492923422, 0.12905787003129038, 0.12656106463009834, 0.12459772851880729, 0.12300504945422333, 0.12167913056250054, 0.1205513324388466, 0.11957542020187392, 0.11872038728352459, 0.11796654185090198, 0.11730373390838011, 0.11673132366138242, 0.11626004067847787, 0.11591653093169833, 0.11575248313742671, 0.11586246807270809, 0.11641973520994932, 0.11775189042771116, 0.12051276163279151, 0.1261101430550296, 0.13790046266781097, 0.1650326244580162, 0.23675751276850018, 0.45024911852961391, 0.78652499244535168, 0.57100500571843738, 0.35218823525586584, 0.25704061615983487, 0.21160542667742624, 0.18665806094704979, 0.17140269465421756, 0.16130100267258793, 0.15419875033721164, 0.14896856088928617, 0.14497300248944792, 0.14182861342537292, 0.13929277047156474, 0.13720541987013105, 0.13545722015158759, 0.13397122733146721, 0.13269190507841241, 0.13157828258987833, 0.13059955601223064, 0.12973218009696322, 0.12895789678931374, 0.12826236898299148, 0.12763421466704183, 0.12706431175596644, 0.12654528950417876, 0.12607115081604747, 0.12563698786278449, 0.12523876518840582, 0.12487315228760043, 0.12453739289826991, 0.12422920185578439, 0.1239466828629873, 0.12368826229831301, 0.12345263544822661, 0.1232387224647086, 0.12304563201796653, 0.12287263111002597, 0.12271911988512391, 0.12258461055216462, 0.12246870974677763, 0.12237110382296808, 0.12229154668932725, 0.1222298499012935, 0.12218587479591608, 0.12215952651404159, 0.1221507498009959, 0.12215660042647739, 0.12217415815318029, 0.12220344073440058, 0.12224447843547727, 0.12229731505377733, 0.12236200935738095, 0.12243863695389486, 0.12252729260507418, 0.12262809300801066, 0.12274118006971052, 0.12286672470916703, 0.12300493122984014, 0.12315604231605475, 0.12332034471961023, 0.12349817571831184, 0.12368993044668515, 0.12389607022157852, 0.12411713201239095, 0.12435373923847051, 0.12460661411601143, 0.1248765918252336, 0.12516463682787959, 0.12547186173772296, 0.12579954923638159, 0.12614917763755315, 0.12652245084060496, 0.12692133358658622, 0.12734809314569484, 0.12780534883752259, 0.1282961311303174, 0.12882395250447781, 0.12939289282687497, 0.13000770270389025, 0.13067392921215368, 0.13139806961352954, 0.13218776023390055, 0.13305200974320361, 0.13400148877715684, 0.13504889140378054, 0.13620938864730447, 0.13750120051958681, 0.13894632127590656, 0.14057144355417442, 0.14240914148095057, 0.14449939168406922, 0.14689153543279282, 0.14964681557865958, 0.15284165840421374, 0.15657191026018522, 0.16095827373593946, 0.16615319790263205, 0.17234941772493143, 0.17979011881993423, 0.18878015183264774, 0.19969652470053323, 0.21299405819211298, 0.22919793297318758, 0.248868402932892, 0.27251509978122218, 0.30043410334047954, 0.33245303576272828, 0.3676170735104069, 0.40393738302075077, 0.43840069211698535, 0.46738463244565953, 0.48738373962326775, 0.49572189831545149, 0.49100057954256848, 0.47332836363854469, 0.44445720499698904, 0.40768458663697144, 0.36723767247907974, 0.32721975206704634, 0.29066431062815662, 0.25917105702359383, 0.23311475921828889, 0.21210348879563359, 0.19540129281422156, 0.18220424281018713, 0.17177945140176032, 0.16351500109302058, 0.1569236105974757, 0.1516271081081319, 0.14733579692231005, 0.1438288999347935, 0.14093819710004499, 0.13853513384095487, 0.13652098016948949, 0.13481944170599985, 0.13337115451008635, 0.13212959305329033, 0.13105802527532023, 0.13012723929104972, 0.129313838137185, 0.12859895337224606, 0.12796726860298305, 0.12740627341089336, 0.12690568949090789, 0.12645702627087496, 0.12605323448492439, 0.1256884343169557, 0.12535770067126775, 0.12505689248151711, 0.12478251617703173, 0.12453161580192831, 0.12430168405313131, 0.12409058983047341, 0.12389651889260998, 0.12371792497138333, 0.1235534892763005, 0.12340208676521912, 0.12326275790045144, 0.12313468487593808, 0.12301717150923847, 0.12290962615549415, 0.12281154712956525, 0.12272251022494267, 0.12264215799972206, 0.12257019056534824, 0.12250635766646194, 0.12245045188264277, 0.12240230281722411, 0.12236177216622858, 0.12232874958318116, 0.12230314927404695, 0.12228490727171019, 0.12227397935194084, 0.12227033956324343], [0.12623958541605268, 0.12624782387744191, 0.12627256757342964, 0.12631390246392149, 0.12637197526323665, 0.12644699872966728, 0.12653925931530219, 0.12664912744187781, 0.12677707077695449, 0.12692367102201968, 0.1270896449019632, 0.12727587027994031, 0.12748341863586157, 0.12771359557324535, 0.12796799160547176, 0.12824854628884724, 0.12855762992174846, 0.12889814867711238, 0.12927368142893442, 0.12968866006579038, 0.13014861038933512, 0.1306604788157204, 0.13123308278760182, 0.13187774309463618, 0.13260918957427559, 0.13344688778817154, 0.13441703196491492, 0.13555562571535962, 0.13691340298649946, 0.13856399284364043, 0.14061808355755151, 0.14324933165572823, 0.1467448939010077, 0.15161210516540422, 0.15882743893518969, 0.17049883031807994, 0.19197027333518402, 0.240403603633708, 0.39252349076488136, 0.76224448094469155, 0.27545256042498972, 0.14853699482146548, 0.12462065707514119, 0.11863155575447458, 0.1172108068696303, 0.11723722127267683, 0.11776983307135451, 0.11847788076546775, 0.11923465913495175, 0.11999033029459216, 0.12072637644059847, 0.12143763162147689, 0.12212467641802656, 0.12279045173122763, 0.12343869592267721, 0.1240732029459501, 0.12469745758070777, 0.12531444187306306, 0.12592651365818075, 0.12653530826572437, 0.12714163949044291, 0.12774538952532946, 0.12834538629434053, 0.1289392736596085, 0.12952338684196807, 0.1300926526006202, 0.13064054093927172, 0.13115910113946866, 0.1316391176746865, 0.13207041825624075, 0.13244235408465438, 0.13274444963356447, 0.13296718694604628, 0.13310285242469616, 0.13314634153394447, 0.13309580005178639, 0.13295298913141559, 0.13272329859981144, 0.132415392220078, 0.13204053501998375, 0.13161170774939571, 0.13114264237469839, 0.13064690986714306, 0.13013716241826689, 0.12962458863975149, 0.12911859574811493, 0.12862669738041904, 0.12815456427813965, 0.12770618735539704, 0.12728410529116921, 0.12688965742444938, 0.12652323356365042, 0.12618450270905235, 0.12587261122618518, 0.12558634724855203, 0.12532427216783465, 0.12508482240307986, 0.12486638570856248, 0.12466735651696245, 0.12448617456079131, 0.12432135051300193, 0.12417148179568956, 0.12403526111808619, 0.12391147977169914, 0.12379902725273473, 0.12369688840401233, 0.1236041389653792, 0.12351994018371469, 0.12344353295035292, 0.12337423179478063, 0.12331141895959895, 0.12325453870516334, 0.12320309193667674, 0.12315663120670291, 0.1231147561181194, 0.12307710913336302, 0.12304337178310268, 0.12301326125941496, 0.12298652737385095, 0.1229629498584565, 0.12294233598714438, 0.12292451849528506, 0.12290935377661284, 0.12289672033825283, 0.12288651749669849, 0.1228786642997599, 0.12287309866178385, 0.12286977670177134, 0.1228686722763363, 0.12286885240456495, 0.1228693930051203, 0.12287029472597918, 0.12287155864832999, 0.12287318628842052, 0.12287517960014929, 0.12287754097841373, 0.12288027326322176, 0.12288337974458094, 0.12288686416818159, 0.12289073074188933, 0.12289498414306808, 0.1228996295267594, 0.12290467253473601, 0.12291011930546995, 0.12291597648503438, 0.12292225123898393, 0.12292895126524445, 0.12293608480805859, 0.12294366067302952, 0.12295168824330996, 0.122960177496997, 0.12296913902577984, 0.12297858405490944, 0.12298852446455459, 0.12299897281261547, 0.12300994235907244, 0.12302144709195294, 0.12303350175500799, 0.12304612187718993, 0.12305932380403913, 0.12307312473108836, 0.12308754273940425, 0.12310259683339494, 0.12311830698101986, 0.1231346941565528, 0.12315178038605479, 0.12316958879573069, 0.12318814366335043, 0.12320747047293994, 0.12322759597295085, 0.12324854823814245, 0.12327035673542616, 0.1232930523939425, 0.12331666767966223, 0.12334123667482917, 0.12336679516258675, 0.12339338071716369, 0.12342103280002097, 0.12344979286240478, 0.12347970445478826, 0.12351081334372636, 0.12354316763670585, 0.1235768179156207, 0.1236118173795772, 0.12364822199779477, 0.12368609067345991, 0.12372548541947895, 0.12376647154718383, 0.12380911786917033, 0.1238534969175881, 0.12389968517936865, 0.12394776335006513, 0.12399781660820512, 0.12404993491231883, 0.12410421332310552, 0.12416075235357706, 0.1242196583504292, 0.12428104391041983, 0.12434502833612428, 0.12441173813617909, 0.12448130757598945, 0.12455387928592798, 0.12462960493532789, 0.12470864598209429, 0.12479117450964078, 0.12487737416511496, 0.12496744121565681, 0.12506158574282833, 0.12516003299952289, 0.12526302495878788, 0.12537082209033795, 0.12548370540836762, 0.12560197884400456, 0.12572597200785332, 0.1258560434231985, 0.12599258432936103, 0.1261360231784871, 0.1262868309790196, 0.12644552767701703, 0.12661268981465371, 0.12678895976661783, 0.12697505693378427, 0.12717179137471021, 0.12738008048637681, 0.1276009695157323, 0.12783565690610726, 0.12808552577532095, 0.12835218321005193, 0.12863750957811923, 0.12894372075498625, 0.12927344710110278, 0.12962983430970787, 0.13001667300967984, 0.13043856645604421, 0.13090114906466213, 0.13141137337496514, 0.13197788988263651, 0.13261155399201444, 0.13332610843572792, 0.13413910982236524, 0.1350731971836755, 0.13615784199731915, 0.13743177704742116, 0.13894637800313386, 0.14077036141752133, 0.14299623575981862, 0.14574889805776423, 0.14919632752634016, 0.15356077904215415, 0.15912459993247624, 0.16621464892473017, 0.17512937817650531, 0.18594629699515519, 0.1981531336058818, 0.21019345870754122, 0.21938643083432494, 0.22287452880444408, 0.21938643083433038, 0.21019345870754036, 0.19815313360587006, 0.18594629699515128, 0.1751293781765047, 0.1662146489247166, 0.15912459993248076, 0.15356077904215587, 0.14919632752634432, 0.14574889805776758, 0.14299623575981718, 0.14077036141751942, 0.13894637800313367, 0.13743177704742154, 0.13615784199731898, 0.1350731971836763, 0.13413910982236443, 0.1333261084357262, 0.13261155399201488, 0.13197788988263723, 0.13141137337496492, 0.13090114906466238, 0.13043856645604396, 0.13001667300967978, 0.1296298343097079, 0.1292734471011025, 0.1289437207549865, 0.12863750957811912, 0.1283521832100519, 0.12808552577532137, 0.12783565690610704, 0.12760096951573227, 0.12738008048637697, 0.12717179137471038, 0.12697505693378427, 0.12678895976661761, 0.1266126898146536, 0.12644552767701714, 0.12628683097901955, 0.12613602317848738, 0.12599258432936117, 0.12585604342319834, 0.12572597200785354, 0.12560197884400456, 0.1254837054083674, 0.12537082209033787, 0.12526302495878794, 0.125160032999523, 0.12506158574282833, 0.12496744121565698, 0.1248773741651151, 0.1247911745096406, 0.12470864598209415, 0.12462960493532793, 0.12455387928592802, 0.12448130757598928, 0.12441173813617921, 0.12434502833612429, 0.12428104391041964, 0.12421965835042903, 0.12416075235357688, 0.12410421332310556, 0.12404993491231879, 0.12399781660820529, 0.12394776335006512, 0.12389968517936878, 0.12385349691758804, 0.12380911786917022, 0.12376647154718369, 0.12372548541947907, 0.12368609067345991, 0.12364822199779466, 0.12361181737957726, 0.12357681791562086, 0.12354316763670606, 0.12351081334372638, 0.1234797044547882, 0.12344979286240478, 0.1234210328000208, 0.1233933807171637, 0.12336679516258688, 0.12334123667482913, 0.12331666767966221, 0.12329305239394248, 0.1232703567354262, 0.12324854823814249, 0.12322759597295092, 0.12320747047293984, 0.12318814366335026, 0.12316958879573069, 0.12315178038605487, 0.12313469415655277, 0.12311830698101975, 0.12310259683339492, 0.12308754273940437, 0.12307312473108845, 0.12305932380403897, 0.12304612187718986, 0.1230335017550078, 0.1230214470919529, 0.1230099423590725, 0.1229989728126155, 0.12298852446455448, 0.12297858405490938, 0.12296913902577974, 0.12296017749699692, 0.12295168824331013, 0.12294366067302942, 0.12293608480805879, 0.1229289512652446, 0.12292225123898395, 0.12291597648503433, 0.12291011930547002, 0.12290467253473629, 0.12289962952675934, 0.12289498414306822, 0.12289073074188928, 0.12288686416818163, 0.12288337974458098, 0.12288027326322169, 0.12287754097841376, 0.12287517960014936, 0.12287318628842041, 0.12287155864833005, 0.12287029472597924, 0.12286939300512044, 0.12286885240456497, 0.12286867227633605, 0.12286876233435454, 0.12286903254317003, 0.12286948300707114, 0.12287011389989669, 0.1228709254650746, 0.1228719180156751, 0.12287309193447678, 0.12287444767404924, 0.12287598575684933, 0.12287770677532932, 0.12287961139205981, 0.12288170033986291, 0.1228839744219599, 0.12288643451212529, 0.12288908155485444, 0.12289191656553761, 0.12289494063064295, 0.12289815490790436, 0.1229015606265165, 0.12290515908732937, 0.12290895166305056, 0.12291293979844195, 0.12291712501051795, 0.12292150888873921, 0.12292609309520018, 0.1229308793648087, 0.12293586950545297, 0.12294106539815861, 0.12294646899722486, 0.12295208233034322, 0.12295790749869302, 0.12296394667700969, 0.12297020211362215, 0.12297667613045435, 0.12298337112299083, 0.12299028956019346, 0.12299743398437285, 0.1230048070110018, 0.12301241132847093, 0.12302024969777639, 0.12302832495213259, 0.12303663999650843, 0.1230451978070711, 0.12305400143053755, 0.12306305398341871, 0.12307235865115257, 0.12308191868711357, 0.12309173741148789, 0.12310181821000604, 0.12311216453251901, 0.12312277989140867, 0.12313366785981603, 0.12314483206967737, 0.12315627620955125, 0.12316800402222364, 0.12318001930207284, 0.1231923258921812, 0.12320492768117008, 0.1232178285997471, 0.12323103261694023, 0.12324454373600137, 0.12325836598995804, 0.12327250343678922, 0.12328696015420591, 0.12330174023400768, 0.12331684777599469, 0.12333228688140559, 0.12334806164585846, 0.12336417615176221, 0.12338063446017554, 0.12339744060208023, 0.12341459856904037, 0.12343211230321803, 0.12344998568671423, 0.12346822253020322, 0.12348682656083032, 0.12350580140934321, 0.12352515059642312, 0.12354487751818975, 0.123564985430848, 0.12358547743445156, 0.12360635645575591, 0.12362762523013557, 0.12364928628255045, 0.12367134190753516, 0.12369379414820623, 0.12371664477427108, 0.12373989525904097, 0.12376354675544439, 0.12378760007105888, 0.12381205564217107, 0.12383691350689947, 0.12386217327741578, 0.12388783411131335, 0.12391389468219371, 0.12394035314953861, 0.12396720712797819, 0.12399445365605677, 0.12402208916463545, 0.12405010944509119, 0.12407850961748523, 0.12410728409891608, 0.12413642657228297, 0.12416592995573238, 0.12419578637307832, 0.12422598712552956, 0.12425652266509433, 0.12428738257006083, 0.12431855552300139, 0.12435002929178542, 0.12438179071412851, 0.12441382568624114, 0.12444611915619642, 0.12447865512266335, 0.1245114166397072, 0.12454438582838467, 0.12457754389591244, 0.12461087116321033, 0.12464434710165727, 0.12467795037991966, 0.12471165892172897, 0.12474544997550163, 0.12477930019668654, 0.12481318574373045, 0.12484708238851808, 0.12488096564213146, 0.12491481089670782, 0.12494859358413844, 0.12504932498588334, 0.12514865324184341, 0.12524604662108915, 0.12534113519570006, 0.12543379427254972, 0.12552423948790198, 0.12561313108309008, 0.12570168446633373, 0.12579178460796014, 0.12588610347753285, 0.12598822290810932, 0.12610277017632954, 0.12623558040582397, 0.12639390898206046, 0.12658672934617449, 0.12682516867515825, 0.12712315980522215, 0.12749842946426007, 0.1279740139225421, 0.12858061942484525, 0.12936037782956256, 0.13037299567941235, 0.13170619590191912, 0.13349426576344584, 0.13595286593471609, 0.13944889927817308, 0.14465293139128388, 0.15290863508821909, 0.16725939820580199, 0.19586786174103746, 0.26637224627350908, 0.48976306842140926, 0.6354220525770532, 0.25598664424330964, 0.15476940020523605, 0.12704499925704482, 0.1169427289151337, 0.11247257277891916, 0.11018832597754841, 0.10886214476893738, 0.10798730564546904, 0.10733433949226316, 0.10679838051168078, 0.10634561927799596, 0.1060062960543524, 0.10591205565203179, 0.10642656097768853, 0.10856928670410346, 0.11561967100197049, 0.14107086399171867, 0.26683741244863557, 0.80302408020102711, 0.42485396933239467, 0.24331999165514623, 0.18767448421879679, 0.16369042202244161, 0.15091098406843489, 0.14312842444195228, 0.13793776681856551, 0.13423953840789157, 0.13146830536309068, 0.12930670810055961, 0.12756429471903219, 0.12612069685703764, 0.124896808610892, 0.12383927903842087, 0.12291184758948191, 0.12209049366276833, 0.12136095681123546, 0.1207180139915803, 0.12016645120424416, 0.11972421294254948, 0.11942902957270841, 0.11935139189466644, 0.11962017295929686, 0.12047538846425607, 0.12238386764046393, 0.12631442021340772, 0.13446358929296501, 0.15243261087022383, 0.19681008242319101, 0.32396734420878709, 0.65740169145491201, 0.72282961293183845, 0.44028794964841006, 0.29875375451516389, 0.23506125257869145, 0.20210237857210406, 0.18282671846107754, 0.17047736538409086, 0.16200878377750114, 0.1558918067953507, 0.15128985493657127, 0.14771284512253532, 0.14485734729889607, 0.14252676340063899, 0.14058880078387984, 0.13895155183795585, 0.13754940586119171, 0.13633441805923074, 0.13527083818857183, 0.13433153713880239, 0.13349561092695036, 0.13274673621829741, 0.13207201784056777, 0.13146116576527056, 0.1309058972586247, 0.13039949577827975, 0.12993648082028891, 0.12951235750340992, 0.12912342426154927, 0.12876662342814027, 0.12843942385961243, 0.12813972776019766, 0.12786579598404124, 0.12761618759263046, 0.12738971052658329, 0.12718538103819493, 0.12700239011109055, 0.12684007552483106, 0.12669789854650099, 0.12657542447676945, 0.12647230646514898, 0.12638827215282683, 0.12632311281217448, 0.12627667473791035, 0.12624885271185013, 0.12623958541605268, 0.12624576304909488, 0.1262643025536565, 0.1262952239675294, 0.12633856142704161, 0.12639436428326423, 0.12646269867740906, 0.12654364958895276, 0.12663732337503439, 0.12674385082563602, 0.12686339076616765, 0.12699613424761355, 0.12714230937471949, 0.1273021868351365, 0.12747608620746675, 0.12766438314432402, 0.12786751754846196, 0.12808600288665437, 0.12832043681823918, 0.12857151335452399, 0.12884003681314568, 0.12912693789013377, 0.1294332922445823, 0.12976034207989318, 0.13010952131609879, 0.13048248508551116, 0.1308811444565218, 0.13130770750768178, 0.1317647281491805, 0.13225516443874832, 0.1327824485866036, 0.1333505714197562, 0.13396418482059522, 0.13462872662320347, 0.13535057371781656, 0.13613723078094625, 0.13699756425496537, 0.13794209413792757, 0.13898336007670423, 0.14013638355103042, 0.14141925510328068, 0.14285388531913817, 0.14446697158600774, 0.14629125091736964, 0.1483671342087575, 0.15074485171193519, 0.15348728657013616, 0.156673736972396, 0.16040493214315032, 0.16480973593788983, 0.1700541016744864, 0.17635297475247971, 0.18398591898570074, 0.19331712485418873, 0.20481981480509484, 0.21910319927443847, 0.23693572138574651, 0.25924912911284542, 0.28709124649958978, 0.3214712301491468, 0.36302242815185115, 0.41143865100376448, 0.46479706562049822, 0.51918082357082862, 0.56918528656440148, 0.60941130320054859, 0.63601822557064347, 0.64711383627440866, 0.64193218467120605, 0.62006006807434644, 0.58189006196423576, 0.53005783181046617, 0.47014533481267567, 0.40927314184815977, 0.35350116288884792, 0.30618496219924607, 0.26806912765585666, 0.23829922710254592, 0.21540041462387016, 0.19786578277253181, 0.18440522980266416, 0.17400208549680768, 0.16588771295493876, 0.15949234558718103, 0.15439671823447459, 0.15029231856679512, 0.1469511432523474, 0.1442035206672771, 0.14192212812448721, 0.14001054887954148, 0.13839508188234348, 0.13701885924281487, 0.13583759673727952, 0.13481650201267695, 0.13392800719786907, 0.13315009219448554, 0.13246503420928354, 0.1318584672401226, 0.1313186687547164, 0.1308360142442998, 0.130402556817758, 0.13001170066667558, 0.12965794554435806, 0.12933668536873891, 0.12904404837390879, 0.12877676937843349, 0.12853208704562286, 0.12830766071642968, 0.12810150266556961, 0.12791192258371917, 0.1277374818076385, 0.12757695536662111, 0.12742930033190225, 0.12729362927775389, 0.12716918791264986, 0.12705533613355141, 0.12695153190907146, 0.1268573175177376, 0.12677230776310786, 0.12669617986361775, 0.12662866477597429, 0.12656953975986071, 0.12651862203119299, 0.12647576338304539, 0.12644084567924657, 0.12641377714664778, 0.12639448940924378, 0.12638293522146832, 0.12637908686975075], [0.13017147692532374, 0.13018015200048924, 0.1302062079183465, 0.13024973786880328, 0.13031090091440961, 0.13038992774024172, 0.130487128975221, 0.13060290638029359, 0.13073776731996739, 0.13089234308720002, 0.13106741185092782, 0.13126392725908032, 0.13148305408395045, 0.13172621277873911, 0.13199513547874911, 0.13229193690933791, 0.13261920497784024, 0.13298011771571872, 0.1333785959924991, 0.13381950550853827, 0.13430892774059339, 0.13485452900613393, 0.13546607173701994, 0.1361561360783376, 0.13694115962287748, 0.13784297060703418, 0.13889110852852715, 0.14012644242006506, 0.14160700817842836, 0.14341780670027526, 0.14568803595370267, 0.1486231346255984, 0.15256854773132872, 0.1581477665337479, 0.16659504157632538, 0.18067921102330509, 0.20781660294566498, 0.27380533279549057, 0.4997383757701428, 0.65102759911452102, 0.21897809521206613, 0.14187757799485748, 0.12564634755813972, 0.12148000965306223, 0.12063687834918606, 0.1208867418333574, 0.12152133316683096, 0.12228424534686226, 0.12307613032875901, 0.12385831483987689, 0.12461721839544648, 0.12535000993122247, 0.12605844572713076, 0.1267460997997753, 0.12741707910065908, 0.128075411748512, 0.12872474384742713, 0.12936817387399199, 0.13000814143559838, 0.13064632896287728, 0.13128355597388811, 0.13191965736897915, 0.13255334523696533, 0.13318206060769064, 0.13380182881411079, 0.13440714005237783, 0.13499088492549227, 0.13554438184962644, 0.13605753679826019, 0.13651917273854025, 0.13691755293172062, 0.13724109689566769, 0.13747925115917378, 0.13762343450346406, 0.1376679396220622, 0.13761065325406982, 0.13745346619650511, 0.13720228698616324, 0.13686664105875085, 0.13645891327257387, 0.13599335427409937, 0.13548500330894342, 0.13494867581154327, 0.13439812967654013, 0.13384547374660138, 0.13330083135825813, 0.13277223228967525, 0.13226568323022794, 0.13178535927005289, 0.13133386280014711, 0.13091250656989081, 0.13052159013363304, 0.13016065062507773, 0.12982867824821609, 0.12952429365540946, 0.12924588872257012, 0.12899173463616284, 0.12876006223635542, 0.12854911970539365, 0.128357212327011, 0.12818272843436201, 0.12802415497886319, 0.12788008548817023, 0.12774922258813859, 0.12763037676032613, 0.12752246259500022, 0.1274244934721421, 0.12733557534788928, 0.12725490012879376, 0.12718173896935286, 0.12711543571922007, 0.12705540066668358, 0.12700110466744835, 0.12695207370694381, 0.12690788391601951, 0.12686815704069562, 0.12683255635412402, 0.12680078299119774, 0.12677257268196909, 0.12674769285814791, 0.12672594010672175, 0.12670713794562835, 0.12669113489803088, 0.1266778028438223, 0.12666703562934156, 0.12665874791878184, 0.12665287427333449, 0.12664936844669272, 0.1266482028881025, 0.12664839321535643, 0.12664896442576506, 0.12664991720566263, 0.12665125270025057, 0.12665297251557139, 0.12665507872127729, 0.12665757385420734, 0.12666046092278088, 0.12666374341222175, 0.12666742529063163, 0.12667151101592891, 0.12667600554367631, 0.12668091433582443, 0.12668624337039128, 0.12669199915212137, 0.12669818872414496, 0.12670481968068573, 0.12671190018085102, 0.12671943896355481, 0.12672744536361841, 0.12673592932910205, 0.12674490143993056, 0.12675437292786684, 0.12676435569790623, 0.1267748623511632, 0.12678590620932687, 0.12679750134077133, 0.1268096625884097, 0.12682240559939265, 0.12683574685675134, 0.12684970371310342, 0.12686429442653879, 0.12687953819881878, 0.12689545521602838, 0.12691206669183189, 0.12692939491349717, 0.12694746329086198, 0.12696629640843268, 0.12698592008081624, 0.12700636141171093, 0.12702764885668769, 0.12704981229002027, 0.1270728830758428, 0.12709689414393294, 0.12712188007044659, 0.12714787716395776, 0.12717492355718463, 0.12720305930482195, 0.12723232648792993, 0.1272627693253785, 0.12729443429288878, 0.12732737025026267, 0.12736162857745506, 0.12739726332020218, 0.12743433134600041, 0.1274728925113045, 0.1275130098409176, 0.12755474972064706, 0.12759818210442525, 0.12764338073723996, 0.12769042339537809, 0.12773939214568136, 0.1277903736257254, 0.1278434593471009, 0.12789874602427048, 0.12795633593182626, 0.12801633729340209, 0.12807886470597174, 0.12814403960386986, 0.12821199076755363, 0.12828285488297461, 0.12835677715842314, 0.12843391200691712, 0.12851442380367023, 0.1285984877299233, 0.12868629071658216, 0.12877803250369801, 0.12887392683501839, 0.12897420281073602, 0.12907910642635312, 0.12918890233147437, 0.12930387584963907, 0.12942433530932243, 0.12955061474746066, 0.1296830770608339, 0.12982211769812516, 0.12996816900740332, 0.13012170538139078, 0.13028324937775582, 0.13045337903591606, 0.13063273666820724, 0.13082203947535359, 0.13102209242887639, 0.13123380398279244, 0.13145820533250993, 0.13169647414203778, 0.13194996392783304, 0.13222024064125573, 0.13250912846305607, 0.13281876745653634, 0.13315168658345267, 0.13351089675748024, 0.13390001022300946, 0.13432339478980734, 0.13478637460244711, 0.13529549358684065, 0.13585886410674269, 0.13648663260364341, 0.13719160748274781, 0.13799011437295056, 0.13890317336090535, 0.13995813674165969, 0.14119099139379662, 0.14264962706147169, 0.1443985129214457, 0.14652541994087406, 0.14915106637713169, 0.15244276573112239, 0.1566330116510789, 0.16204250637620118, 0.16910192478760205, 0.1783519046359246, 0.19036620305563937, 0.20548382257424744, 0.22320444143284965, 0.2413140593374796, 0.25552767875302296, 0.26100245688669732, 0.25552767875303051, 0.24131405933747996, 0.22320444143283147, 0.20548382257424272, 0.19036620305563789, 0.17835190463590672, 0.16910192478760758, 0.16204250637620368, 0.15663301165108401, 0.1524427657311265, 0.14915106637713019, 0.14652541994087187, 0.14439851292144543, 0.14264962706147205, 0.14119099139379657, 0.13995813674166058, 0.13890317336090452, 0.13799011437294872, 0.13719160748274828, 0.13648663260364416, 0.1358588641067425, 0.13529549358684093, 0.13478637460244686, 0.13432339478980726, 0.13390001022300951, 0.1335108967574799, 0.13315168658345294, 0.1328187674565362, 0.13250912846305607, 0.13222024064125623, 0.13194996392783281, 0.13169647414203772, 0.13145820533251015, 0.13123380398279261, 0.13102209242887639, 0.13082203947535342, 0.1306327366682071, 0.13045337903591617, 0.13028324937775579, 0.13012170538139103, 0.12996816900740352, 0.12982211769812496, 0.12968307706083407, 0.12955061474746071, 0.12942433530932224, 0.12930387584963901, 0.12918890233147443, 0.1290791064263532, 0.12897420281073602, 0.12887392683501861, 0.12877803250369813, 0.12868629071658191, 0.12859848772992316, 0.12851442380367026, 0.12843391200691712, 0.128356777158423, 0.12828285488297475, 0.12821199076755366, 0.12814403960386961, 0.12807886470597149, 0.12801633729340181, 0.12795633593182631, 0.12789874602427043, 0.12784345934710106, 0.12779037362572537, 0.12773939214568147, 0.12769042339537806, 0.12764338073723985, 0.12759818210442514, 0.1275547497206472, 0.12751300984091762, 0.12747289251130434, 0.12743433134600046, 0.12739726332020238, 0.12736162857745525, 0.12732737025026269, 0.12729443429288875, 0.12726276932537847, 0.12723232648792976, 0.12720305930482201, 0.12717492355718485, 0.12714787716395767, 0.1271218800704465, 0.12709689414393288, 0.12707288307584286, 0.12704981229002033, 0.12702764885668771, 0.12700636141171084, 0.12698592008081605, 0.12696629640843268, 0.12694746329086204, 0.12692939491349717, 0.12691206669183175, 0.12689545521602835, 0.12687953819881889, 0.1268642944265389, 0.12684970371310325, 0.12683574685675131, 0.1268224055993924, 0.12680966258840967, 0.12679750134077142, 0.12678590620932689, 0.12677486235116303, 0.1267643556979062, 0.12675437292786676, 0.12674490143993053, 0.12673592932910221, 0.1267274453636183, 0.12671943896355498, 0.12671190018085118, 0.12670481968068575, 0.12669818872414496, 0.12669199915212145, 0.12668624337039153, 0.12668091433582435, 0.1266760055436765, 0.12667151101592886, 0.12666742529063157, 0.12666374341222181, 0.12666046092278085, 0.12665757385420734, 0.12665507872127732, 0.12665297251557125, 0.12665125270025065, 0.12664991720566271, 0.12664896442576518, 0.12664839321535648, 0.12664820288810225, 0.12664829804525315, 0.12664858355328965, 0.12664905952197278, 0.12664972613426348, 0.12665058364636411, 0.12665163238777541, 0.12665287276136641, 0.12665430524346311, 0.12665593038395079, 0.12665774880638939, 0.12665976120814473, 0.12666196836053084, 0.12666437110896725, 0.12666697037314401, 0.12666976714720052, 0.12667276249991205, 0.12667595757488564, 0.12667935359076096, 0.12668295184141995, 0.12668675369619559, 0.12669076060008924, 0.12669497407398309, 0.12669939571485334, 0.12670402719598042, 0.12670887026715186, 0.1267139267548586, 0.12671919856247699, 0.12672468767044198, 0.12673039613639858, 0.12673632609533489, 0.12674247975969249, 0.12674885941944727, 0.12675546744215987, 0.12676230627298832, 0.12676937843466343, 0.12677668652741431, 0.12678423322884613, 0.12679202129375861, 0.12680005355390397, 0.12680833291767502, 0.12681686236971484, 0.12682564497044735, 0.12683468385551214, 0.1268439822351029, 0.12685354339319491, 0.12686337068665665, 0.12687346754423309, 0.12688383746538934, 0.12689448401900635, 0.1269054108419134, 0.12691662163724859, 0.12692812017262964, 0.12693991027812521, 0.1269519958440081, 0.12696438081827832, 0.12697706920393548, 0.12699006505598862, 0.12700337247817758, 0.12701699561939495, 0.12703093866978266, 0.12704520585648441, 0.12705980143903237, 0.12707472970434269, 0.1270899949613, 0.12710560153490058, 0.12712155375993422, 0.12713785597417207, 0.12715451251103838, 0.12717152769173179, 0.12718890581677247, 0.12720665115694044, 0.12722476794357632, 0.12724326035821337, 0.1272621325215092, 0.12728138848144374, 0.12730103220075245, 0.12732106754356529, 0.1273414982612148, 0.12736232797718852, 0.12738356017119123, 0.1274051981622934, 0.12742724509113598, 0.1274497039011678, 0.12747257731889988, 0.12749586783314937, 0.12751957767327088, 0.12754370878635729, 0.1275682628134153, 0.12759324106451198, 0.12761864449291349, 0.12764447366822684, 0.12767072874858304, 0.12769740945189997, 0.12772451502627918, 0.1277520442196097, 0.12777999524845537, 0.12780836576633894, 0.12783715283153602, 0.12786635287452247, 0.1278959616652478, 0.12792597428041586, 0.12795638507100188, 0.12798718763024411, 0.12801837476239808, 0.12804993845256057, 0.12808186983791528, 0.12811415918078903, 0.12814679584394045, 0.12817976826855182, 0.12821306395543347, 0.1282466694499978, 0.12828057033159401, 0.12831475120785529, 0.12834919571473766, 0.12838388652298818, 0.128418805351807, 0.12845393299051974, 0.12848924932910508, 0.12852473339845386, 0.12856036342126625, 0.12859611687450631, 0.12863197056435349, 0.12866790071458239, 0.12870388306930614, 0.1287398930109892, 0.12877590569461694, 0.12881189619884964, 0.12884783969494512, 0.12895514530529484, 0.12906118604531253, 0.12916543953035398, 0.12926755931283027, 0.12936746356573572, 0.12946543640717958, 0.12956223948265577, 0.12965923108500516, 0.12975849068404249, 0.12986294865508621, 0.12997652457819936, 0.13010428300311644, 0.13025262333111798, 0.13042953098244403, 0.13064493146077097, 0.13091120975968043, 0.13124398965975467, 0.13166332015887472, 0.13219550733476979, 0.13287599408428574, 0.13375399808244373, 0.13490022115318692, 0.13642018367882569, 0.13847844472761725, 0.14134530675531018, 0.14549375820938704, 0.15182009110257091, 0.16220870849841734, 0.18121983058775126, 0.22228145530970195, 0.33631747578027066, 0.66331975703682244, 0.42569996342645883, 0.19479262456033253, 0.14089842597219693, 0.12413749128569107, 0.11749784132534188, 0.11439412923613095, 0.11273610198643133, 0.11172709199091857, 0.11102260187085621, 0.11046151884772541, 0.1099689826692094, 0.10952191058338022, 0.10914654220567208, 0.10894913804259507, 0.10921712334558653, 0.11073419108748898, 0.11590896109995712, 0.13392077018433879, 0.21434343253439675, 0.66471341460064337, 0.53917708489595151, 0.2779148365154025, 0.20356721154253254, 0.17369943259946904, 0.15845580094408204, 0.14942902586623324, 0.14352487775863845, 0.13937828454326845, 0.13630512074777776, 0.13392876968784065, 0.1320265165917017, 0.13045912665090961, 0.12913573797671007, 0.12799519485434921, 0.12699566093122969, 0.1261087323391443, 0.12531623366233807, 0.12460885903931854, 0.12398640715729638, 0.12345985152897919, 0.1230561245367332, 0.12282762263634915, 0.1228707972799571, 0.12336361817802223, 0.12464523938958298, 0.12739817084460495, 0.13310521004621539, 0.14533657373197481, 0.17392548271499866, 0.25052703834643714, 0.47715022261906359, 0.79179818463914797, 0.5628557273091801, 0.35586111112924312, 0.26457621115614627, 0.22021318813246951, 0.19553986769822959, 0.18031009104868384, 0.17015324037689683, 0.16297182498170404, 0.15765889461303539, 0.15358439495564005, 0.15036725573405804, 0.14776528988457571, 0.14561813165946938, 0.14381587694119505, 0.14228097468015416, 0.14095731934465069, 0.13980343736895534, 0.13878809401902503, 0.13788738098908038, 0.13708273753598255, 0.13635957608590549, 0.1357063086703767, 0.1351136448914719, 0.13457407740051497, 0.13408149914694509, 0.13363091470437027, 0.13321821974261805, 0.13284003052349372, 0.13249355057276671, 0.13217646530142074, 0.13188685787155, 0.13162314138426864, 0.1313840037424929, 0.13116836246568872, 0.13097532741116405, 0.13080416985829962, 0.13065429678754659, 0.13052522946922931, 0.13041658569248998, 0.13032806512944048, 0.13025943745628241, 0.13021053295126198, 0.13018123536577614, 0.13017147692532374, 0.13017798193803887, 0.13019750439302008, 0.13023006678246757, 0.13027570740105207, 0.13033448156472127, 0.13040646333199352, 0.13049174774365846, 0.13059045360266797, 0.13070272682296619, 0.13082874438430661, 0.13096871894006501, 0.13112290413710112, 0.13129160072126364, 0.13147516351973132, 0.13167400941271884, 0.1318886264329267, 0.13211958416260353, 0.13236754563636774, 0.13263328100480709, 0.1329176832713122, 0.13322178648533065, 0.13354678686273941, 0.13389406741271928, 0.13426522678630476, 0.13466211323216429, 0.13508686476021006, 0.13554195688653276, 0.1360302596813745, 0.13655510628885789, 0.13712037566439986, 0.13773059302567575, 0.13839105249353517, 0.13910796768961822, 0.13988865776681286, 0.1407417786288348, 0.14167761215795777, 0.14270843041357925, 0.14384895741150355, 0.14511695884704712, 0.146534000849178, 0.14812643379519536, 0.14992667818355357, 0.15197491918256364, 0.15432135856072399, 0.15702923278210845, 0.16017889202006247, 0.16387335775452974, 0.16824595122285066, 0.17347082910565087, 0.17977759285707903, 0.18747155390261888, 0.1969616793601518, 0.20879848468647244, 0.22372352301648341, 0.24272897212319974, 0.26711628848716595, 0.29851921506861118, 0.33880652377907605, 0.38969782155650673, 0.45185932461486772, 0.52340330255105816, 0.59846224474525056, 0.66765744942027239, 0.72185053085526396, 0.75694805026879108, 0.77508271188928923, 0.78116644353537612, 0.77829871658781236, 0.765075622537294, 0.73590030282632002, 0.68495961217335732, 0.61259335258163883, 0.52817973611343549, 0.44511605063954374, 0.37323031149146507, 0.31604546831016528, 0.27266400759840781, 0.24044897141804633, 0.21663838402099175, 0.19895023946705961, 0.18567321509616114, 0.17557729100720892, 0.16779258810787223, 0.16170540428166635, 0.15688058200166385, 0.15300675905678401, 0.14985866456975319, 0.14727134651164281, 0.1451225332934323, 0.14332048919006296, 0.14179557943703081, 0.14049435232928176, 0.13937534224063303, 0.13840606020391619, 0.13756081228912945, 0.13681910104627715, 0.1361644419542915, 0.13558347832452342, 0.13506531301378935, 0.1346009991803736, 0.13418314880824042, 0.13380562922494024, 0.13346332593482396, 0.13315195584222797, 0.13286791906473147, 0.13260818052113957, 0.13237017465658515, 0.13215172826939725, 0.13195099759274997, 0.13176641667234842, 0.13159665475036603, 0.13144058087334701, 0.13129723432952961, 0.13116579981935644, 0.13104558649395229, 0.13093601017640799, 0.13083657822190758, 0.13074687658409256, 0.13066655874334399, 0.13059533622299568, 0.13053297047574544, 0.13047926596771209, 0.13043406432393725, 0.13039723942853806, 0.13036869339650056, 0.13034835335349759, 0.1303361689760249, 0.13033211075735182], [0.13412226064239019, 0.13413138770901301, 0.13415880215220927, 0.13420460491022565, 0.13426896828164223, 0.13435214217279601, 0.13445446314554235, 0.13457636659360317, 0.13471840251076492, 0.13488125548573468, 0.13506576978175819, 0.13527298065517335, 0.13550415346590614, 0.13576083267751765, 0.13604490359791768, 0.13635867076833011, 0.13670495840987559, 0.13708724050312482, 0.13750981124915254, 0.13797801138827548, 0.13849853302619702, 0.13907983672179133, 0.13973273216082621, 0.14047120222041914, 0.14131359764918661, 0.14228441094220351, 0.14341698233759856, 0.14475775693056045, 0.1463732241668643, 0.14836170810307928, 0.15087440351572978, 0.15415517763962863, 0.1586214801649555, 0.16504425521623894, 0.17499687310200984, 0.19216075572263638, 0.22701316349739323, 0.31919530295554904, 0.6392870922180206, 0.4735185965168302, 0.18733050342359264, 0.1386211706623609, 0.12742148733640987, 0.12456954214469507, 0.12416865657160413, 0.12459700760397198, 0.12531610359235298, 0.12612625225587892, 0.12694962834480361, 0.12775653815109669, 0.12853743726474331, 0.12929142851086925, 0.1300212549172983, 0.13073103130172423, 0.1314251879025011, 0.13210796600002794, 0.13278316527962508, 0.13345400041150796, 0.13412299672774122, 0.13479188966666944, 0.13546151048446331, 0.13613165107023584, 0.13680090816612619, 0.13746651427194637, 0.13812417020929377, 0.13876790309083309, 0.13938998277738177, 0.13998093825511401, 0.14052972000027503, 0.1410240515907982, 0.14145099960910007, 0.14179776259569227, 0.14205263823270789, 0.14220607922421782, 0.14225170448877333, 0.14218710870811227, 0.1420143233680895, 0.14173983081098018, 0.14137411093790278, 0.14093078752026175, 0.14042551243881723, 0.13987476194014728, 0.13929471266114787, 0.13870032445225103, 0.13810469877116063, 0.13751872372834864, 0.13695097276623136, 0.13640779884160853, 0.13589355864384428, 0.13541090683895401, 0.1349611126970964, 0.13454436582898799, 0.13416005093402056, 0.13380698190337589, 0.13348359297307694, 0.13318808921813474, 0.13291856113695735, 0.13267306904284362, 0.13244970300929843, 0.13224662362379183, 0.13206208807483222, 0.13189446530783977, 0.13174224323679726, 0.13160403033987245, 0.13147855341485468, 0.13136465282281362, 0.13126127619536992, 0.1311674713081106, 0.1310823786155047, 0.13100522378773496, 0.13093531047568846, 0.13087201344740945, 0.13081477218001342, 0.13076308494940644, 0.13071650343153932, 0.13067462780984868, 0.13063710237136114, 0.13060361156667305, 0.13057387650524721, 0.13054765185609893, 0.13052472312421853, 0.13050490427444247, 0.13048803567654943, 0.130473982347837, 0.13046263247216269, 0.13045389617726552, 0.13044770455505417, 0.13044400891241031, 0.13044278024287945, 0.13044298111717362, 0.1304435839819722, 0.13044458956344349, 0.13044599907326695, 0.13044781421073942, 0.13045003716572975, 0.13045267062249594, 0.13045571776437404, 0.13045918227935405, 0.13046306836656252, 0.13046738074366956, 0.13047212465524613, 0.13047730588209919, 0.13048293075160886, 0.13048900614911235, 0.13049553953035836, 0.13050253893508393, 0.13051001300175008, 0.13051797098349166, 0.13052642276532886, 0.13053537888269948, 0.13054485054137879, 0.13055484963884692, 0.13056538878718232, 0.13057648133755864, 0.13058814140642916, 0.13060038390349141, 0.13061322456152902, 0.13062667996824134, 0.13064076760016916, 0.13065550585884519, 0.13067091410929949, 0.13068701272106287, 0.13070382311182333, 0.13072136779389945, 0.13073967042371229, 0.13075875585444585, 0.13077865019210591, 0.13079938085519821, 0.13082097663827424, 0.13084346777960093, 0.13086688603323951, 0.1308912647458414, 0.1309166389384922, 0.1309430453939654, 0.13097052274977816, 0.13099911159747385, 0.13102885458859967, 0.13105979654788161, 0.131091984594155, 0.13112546826965649, 0.13116029967834147, 0.13119653363396158, 0.13123422781870484, 0.13127344295329388, 0.13131424297952343, 0.13135669525633492, 0.13140087077064422, 0.13144684436428306, 0.1314946949785778, 0.13154450591827616, 0.13159636513675266, 0.13165036554467158, 0.13170660534458872, 0.13176518839431539, 0.13182622460226975, 0.13188983035853336, 0.13195612900587825, 0.13202525135572396, 0.13209733625476736, 0.13217253120900052, 0.13225099307297494, 0.13233288881355226, 0.13241839635906125, 0.13250770554678565, 0.13260101918417946, 0.13269855424218291, 0.13280054320267032, 0.13290723558653411, 0.13301889969441186, 0.13313582459883269, 0.13325832243495145, 0.1333867310474241, 0.13352141706391221, 0.13366277948184405, 0.13381125387527812, 0.13396731735412212, 0.13413149444002598, 0.13430436406387075, 0.13448656794142699, 0.13467882064975775, 0.13488192181164371, 0.13509677090462965, 0.13532438535308561, 0.13556592274673834, 0.13582270827211468, 0.13609626876459963, 0.13638837521656075, 0.1367010961510029, 0.13703686504676885, 0.13739856606117282, 0.13778964375584016, 0.13821424456225742, 0.13867740057753641, 0.13918527033522476, 0.13974545702081342, 0.14036743306750157, 0.14106311252008497, 0.14184763109279186, 0.1427404217771302, 0.14376671642459313, 0.14495966928940365, 0.14636340033256715, 0.14803741492048594, 0.15006310367833134, 0.15255340460307842, 0.15566726371089062, 0.15963125489688607, 0.16477136936100933, 0.17155747560760232, 0.18065765269579248, 0.19297921014186045, 0.20961418651125069, 0.23147889881607858, 0.25829625453442384, 0.28685459959170323, 0.30996130801879052, 0.31900118346319367, 0.30996130801880079, 0.28685459959170229, 0.25829625453439842, 0.23147889881607087, 0.20961418651125099, 0.19297921014183633, 0.18065765269580014, 0.1715574756076052, 0.1647713693610155, 0.15963125489689092, 0.15566726371088871, 0.15255340460307593, 0.15006310367833103, 0.14803741492048642, 0.14636340033256695, 0.14495966928940462, 0.14376671642459221, 0.14274042177712812, 0.14184763109279233, 0.14106311252008571, 0.14036743306750138, 0.13974545702081376, 0.13918527033522446, 0.13867740057753641, 0.13821424456225745, 0.13778964375583977, 0.13739856606117315, 0.13703686504676871, 0.13670109615100284, 0.1363883752165613, 0.13609626876459946, 0.13582270827211471, 0.13556592274673862, 0.13532438535308577, 0.13509677090462965, 0.13488192181164352, 0.13467882064975767, 0.13448656794142705, 0.13430436406387072, 0.1341314944400262, 0.13396731735412226, 0.1338112538752779, 0.13366277948184424, 0.13352141706391232, 0.13338673104742391, 0.13325832243495137, 0.13313582459883275, 0.133018899694412, 0.13290723558653411, 0.13280054320267048, 0.13269855424218308, 0.13260101918417921, 0.13250770554678548, 0.13241839635906127, 0.13233288881355226, 0.13225099307297478, 0.13217253120900063, 0.13209733625476733, 0.13202525135572374, 0.131956129005878, 0.13188983035853316, 0.13182622460226978, 0.13176518839431536, 0.13170660534458895, 0.13165036554467155, 0.13159636513675277, 0.13154450591827613, 0.13149469497857771, 0.13144684436428292, 0.13140087077064433, 0.13135669525633492, 0.13131424297952332, 0.13127344295329388, 0.13123422781870503, 0.13119653363396183, 0.13116029967834153, 0.13112546826965643, 0.131091984594155, 0.13105979654788141, 0.13102885458859967, 0.13099911159747402, 0.13097052274977805, 0.13094304539396531, 0.13091663893849217, 0.13089126474584148, 0.13086688603323959, 0.13084346777960104, 0.13082097663827419, 0.13079938085519802, 0.13077865019210591, 0.13075875585444588, 0.13073967042371232, 0.13072136779389926, 0.13070382311182333, 0.13068701272106298, 0.13067091410929962, 0.130655505858845, 0.1306407676001691, 0.13062667996824112, 0.13061322456152896, 0.13060038390349149, 0.13058814140642924, 0.13057648133755853, 0.13056538878718227, 0.13055484963884678, 0.13054485054137868, 0.13053537888269967, 0.13052642276532878, 0.1305179709834918, 0.13051001300175025, 0.13050253893508387, 0.13049553953035833, 0.13048900614911244, 0.13048293075160913, 0.1304773058820991, 0.1304721246552463, 0.13046738074366954, 0.13046306836656246, 0.1304591822793541, 0.13045571776437398, 0.13045267062249594, 0.13045003716572981, 0.13044781421073934, 0.13044599907326704, 0.1304445895634436, 0.13044358398197234, 0.13044298111717367, 0.1304427802428792, 0.13044288067315468, 0.13044318200245095, 0.130443684346188, 0.13044438789676005, 0.13044529292357981, 0.13044639977313915, 0.13044770886908363, 0.13044922071230727, 0.1304509358810613, 0.13045285503107759, 0.13045497889570845, 0.13045730828607896, 0.1304598440912543, 0.13046258727841689, 0.13046553889305712, 0.13046870005917313, 0.13047207197948044, 0.13047565593562746, 0.13047945328842031, 0.13048346547804734, 0.13048769402431254, 0.13049214052686489, 0.1304968066654284, 0.13050169420002961, 0.13050680497121825, 0.13051214090028035, 0.1305177039894386, 0.13052349632204224, 0.13052952006273547, 0.13053577745760786, 0.13054227083431968, 0.13054900260219909, 0.13055597525230617, 0.13056319135745953, 0.13057065357222342, 0.13057836463284397, 0.13058632735713605, 0.13059454464430847, 0.13060301947472724, 0.13061175490960555, 0.13062075409061369, 0.13063002023940604, 0.13063955665704907, 0.1306493667233502, 0.13065945389607003, 0.13066982171001601, 0.13068047377600156, 0.1306914137796614, 0.13070264548011232, 0.13071417270844526, 0.13072599936603832, 0.1307381294226731, 0.13075056691444326, 0.13076331594143753, 0.13077638066518252, 0.13078976530582612, 0.1308034741390475, 0.1308175114926674, 0.13083188174294799, 0.13084658931055418, 0.13086163865615755, 0.13087703427566039, 0.13089278069501314, 0.13090888246460564, 0.13092534415319909, 0.1309421703413797, 0.13095936561449886, 0.13097693455507786, 0.13099488173464063, 0.13101321170495162, 0.13103192898862032, 0.13105103806904572, 0.13107054337966648, 0.13109044929248442, 0.13111076010582814, 0.13113148003132336, 0.13115261318004029, 0.13117416354778086, 0.13119613499947927, 0.13121853125268201, 0.13124135586008193, 0.13126461219107724, 0.13128830341233061, 0.13131243246731286, 0.13133700205480492, 0.13136201460635502, 0.13138747226267519, 0.13141337684898252, 0.13143972984928362, 0.13146653237962494, 0.1314937851603227, 0.13152148848721359, 0.13154964220196796, 0.13157824566152393, 0.13160729770672214, 0.13163679663022035, 0.13166674014381155, 0.13169712534526345, 0.13172794868483376, 0.13175920593164264, 0.13179089214009598, 0.13182300161659952, 0.13185552788681809, 0.13188846366378204, 0.13192180081716587, 0.1319555303441097, 0.13198964234199345, 0.13202412598360783, 0.13205896949521723, 0.13209416013805153, 0.13212968419381099, 0.13216552695480671, 0.13220167271942129, 0.13223810479360321, 0.13227480549916953, 0.1323117561897208, 0.13234893727502489, 0.13238632825475685, 0.13242390776251628, 0.13246165362107357, 0.13249954290981181, 0.13253755204535134, 0.13257565687633763, 0.13261383279337757, 0.1326520548550775, 0.13269029793112253, 0.13272853686327113, 0.13276674664509952, 0.13288095762742036, 0.13299406645218764, 0.13310556381619706, 0.13321513160228193, 0.1333227371670597, 0.1334287413550066, 0.13353401799158351, 0.13364008236536579, 0.13374922697819466, 0.13386466505817987, 0.13399068638596096, 0.13413283623508501, 0.13429813709692906, 0.13449538510817763, 0.13473557030807792, 0.1350324952651368, 0.13540370657895578, 0.13587192046286514, 0.13646724057699988, 0.13723068031448865, 0.1382199100910057, 0.13951896584623713, 0.14125537361221591, 0.14363200351399846, 0.14699031439783813, 0.15194648986427811, 0.15971595095961705, 0.1729961267801623, 0.19882748324826022, 0.26024185708382597, 0.45094152337583504, 0.68457476083582036, 0.28391926372887533, 0.16473612679019053, 0.1340783131031146, 0.12346808948226026, 0.11897709947664734, 0.11677874569135169, 0.11555376094002116, 0.1147701521699529, 0.11418855590722007, 0.11369385023502206, 0.11323175116630571, 0.11278627545780455, 0.11237983395940469, 0.11209852152466639, 0.11217129634679, 0.11320771389306214, 0.11700825376419659, 0.1299941457535487, 0.18330849317373774, 0.4883760053769825, 0.6812922257602998, 0.32391291270368899, 0.22258683263744988, 0.18491492695054737, 0.16659130940935352, 0.15607017953898877, 0.14933292850077115, 0.14467374287200518, 0.14126112237177624, 0.138646700529651, 0.13656948671725691, 0.13486825914430625, 0.13343869404608269, 0.13221087861225719, 0.13113689083456245, 0.1301837320012528, 0.12932934758310455, 0.12856065094781177, 0.12787311833701437, 0.12727199923566962, 0.12677571007467769, 0.12642281715671302, 0.12628567156939824, 0.12649742802706937, 0.12730801348482718, 0.12920774045361641, 0.13322390521480459, 0.14171077893035885, 0.16074467572462531, 0.20853635397909584, 0.34681434005006601, 0.68929879657381932, 0.70747029634860603, 0.43658287261016376, 0.30348884505553758, 0.24241683878220704, 0.21029281190724985, 0.19127999709634655, 0.17899024112758266, 0.17050427739814256, 0.16434080142217086, 0.15968270571919482, 0.15604813749758303, 0.1531371413470774, 0.15075449079978723, 0.14876831437226351, 0.14708669914153238, 0.14564384817342071, 0.14439156628984565, 0.14329384391840402, 0.14232330878338711, 0.14145884013214405, 0.14068392716016914, 0.13998551591035335, 0.13935318405730004, 0.13877854026137543, 0.13825478015736373, 0.13777635341443911, 0.13733871075434154, 0.13693810933144007, 0.13657146125933353, 0.13623621441842484, 0.13593025769006994, 0.13565184487758822, 0.13539953307964867, 0.13517213236655939, 0.13496866440143701, 0.1347883282317944, 0.13463047191182695, 0.13449456894236755, 0.13438019876298979, 0.13428703071955109, 0.13421481107536115, 0.13416335274616059, 0.13413252752630211, 0.13412226064239019, 0.13412910456356725, 0.13414964462902562, 0.13418390600819169, 0.134231931531309, 0.13429378301979608, 0.13436954316628941, 0.13445931798300445, 0.13456323984389301, 0.13468147115418666, 0.13481420869057376, 0.13496168866685443, 0.13512419259395006, 0.13530205402010551, 0.13549566625770587, 0.13570549122814005, 0.1359320695865591, 0.13617603232555475, 0.13643811410218154, 0.13671916858858088, 0.13702018621523776, 0.13734231476104336, 0.1376868833502789, 0.13805543054901934, 0.13844973741990479, 0.13887186660450815, 0.13932420876983923, 0.1398095380973241, 0.14033107893228625, 0.14089258628122242, 0.14149844358601549, 0.14215378217753202, 0.14286462809704609, 0.14363808368540987, 0.14448255363486762, 0.14540802830003385, 0.14642644129034876, 0.14755212417239619, 0.14880238915744667, 0.15019828190252299, 0.15176556243501818, 0.15353599483605856, 0.15554905885532763, 0.15785424386228075, 0.16051415472325131, 0.16360876137912592, 0.16724127588210255, 0.1715463677534825, 0.17670176808227717, 0.18294481718039618, 0.19059624525422492, 0.2000944969960646, 0.2120451817276133, 0.2272913495647281, 0.24700972247949096, 0.27283101763039241, 0.30695628127972402, 0.35216566751479517, 0.41143871321229619, 0.48660845781601303, 0.57538696403844625, 0.66752042881176943, 0.74483612580384861, 0.79076400877473474, 0.80286146391772795, 0.79319491534290554, 0.77770629786715462, 0.76794536625896037, 0.76916478424561108, 0.78054708759177649, 0.79418570603091765, 0.79362445028025996, 0.75844264441561704, 0.68040974010201882, 0.57567313225764383, 0.47143311416412803, 0.3850409010834846, 0.32015921246746859, 0.2734861734332461, 0.24027661798095903, 0.21650576643721453, 0.19925084081115305, 0.18650700688540647, 0.17692260456827627, 0.16958534108562887, 0.16387336062143726, 0.15935682735498527, 0.15573396233758327, 0.15278948274494228, 0.15036738621136375, 0.14835291807574194, 0.1466604593463843, 0.14522527418897785, 0.14399780577044943, 0.14293967773812341, 0.14202085308185791, 0.14121758905429202, 0.14051094686277721, 0.13988569288991276, 0.13932947958487205, 0.13883222842897658, 0.13838566050632606, 0.13798293600987258, 0.13761837493233711, 0.13728723882161667, 0.13698555886945113, 0.13670999944733195, 0.13645774897415955, 0.13622643201507437, 0.13601403798949746, 0.1358188629608105, 0.13563946179688113, 0.13547460860509083, 0.13532326381133566, 0.1351845466082536, 0.13505771177159689, 0.13494213005564065, 0.13483727154376693, 0.13474269145998766, 0.13465801804942124, 0.13458294221681169, 0.1345172086767531, 0.13446060842092786, 0.13441297234907537, 0.13437416594377921, 0.13434408489607017, 0.13432265161070725, 0.13430981253788274, 0.13430553629289402], [0.13789258234044138, 0.13790216203010955, 0.13793093702109704, 0.13797901638875387, 0.13804658633498479, 0.13813391696351279, 0.13824137209916798, 0.13836942251525955, 0.1385186630833817, 0.13868983455141967, 0.13888385090530522, 0.13910183360217376, 0.13934515441124584, 0.13961548921331879, 0.13991488596290488, 0.14024585121752053, 0.14061146135169911, 0.14101550705435706, 0.14146268335933435, 0.14195884292553718, 0.1425113386224596, 0.14312949446201628, 0.14382526459659281, 0.14461417386387665, 0.14551669002041323, 0.1465602758861243, 0.14778254540985725, 0.14923627542391632, 0.15099766425671204, 0.15318054282746082, 0.15596211709885965, 0.15963257659853208, 0.16469825271669419, 0.17211768218651172, 0.18391310733173313, 0.20504068558135793, 0.250580691307839, 0.38241638614375045, 0.75595264297436748, 0.34231364633255829, 0.16920924701163392, 0.13735895031714135, 0.12956304399971338, 0.12767456448583051, 0.12761350336910349, 0.1281830168959896, 0.12897031890812113, 0.12981937453376033, 0.13066936382515904, 0.13149780854057133, 0.13229843979762726, 0.13307193798169409, 0.13382185391847709, 0.13455274839822387, 0.13526932308940146, 0.13597600420749811, 0.13667673075617728, 0.13737482811931268, 0.13807290759544061, 0.13877276149558512, 0.13947523854981675, 0.14018009347420554, 0.14088581159048735, 0.14158941648344539, 0.14228627693708312, 0.14296993913150133, 0.14363202073025175, 0.14426221330878275, 0.14484844547671122, 0.14537725672371718, 0.14583441678317244, 0.14620579384846893, 0.14647842787428883, 0.14664170929781736, 0.14668851259282151, 0.14661610611088588, 0.14642667047621619, 0.14612731301171628, 0.14572955540259144, 0.14524837203737115, 0.14470093781576321, 0.14410528397746841, 0.14347905155045726, 0.14283848389710438, 0.14219773249133383, 0.1415684844748446, 0.14095987140515451, 0.14037859159296256, 0.13982917162357689, 0.13931430002622844, 0.1388351807551931, 0.13839187063629058, 0.13798357972430986, 0.13760892501498487, 0.13726613589112893, 0.13695321452078693, 0.13666805690908249, 0.13640854118162529, 0.13617258956608327, 0.13595820989648097, 0.13576352159789082, 0.13558677020448875, 0.13542633362371348, 0.13528072263042623, 0.1351485774707763, 0.1350286619706994, 0.1349198561647158, 0.13482114816982932, 0.13473162581012219, 0.13465046833491451, 0.13457693845435348, 0.13451037483054873, 0.1344501851016062, 0.134395839473683, 0.13434686488754832, 0.13430283974737708, 0.13426338918782663, 0.13422818084877877, 0.13419692112397855, 0.13416935184904619, 0.13414524739519434, 0.13412441213688731, 0.13410667826423753, 0.13409190391385975, 0.13407997159503535, 0.13407078689123578, 0.13406427742025309, 0.13406039203934972, 0.13405910028493781, 0.13405931172873659, 0.13405994631542453, 0.13406100481132444, 0.13406248849512944, 0.13406439916014479, 0.13406673911743247, 0.13406951119987401, 0.13407271876716129, 0.13407636571173218, 0.13408045646567127, 0.13408499600859669, 0.13408998987655801, 0.13409544417197805, 0.13410136557466237, 0.1341077613539251, 0.13411463938185822, 0.13412200814779796, 0.13412987677402971, 0.13413825503278962, 0.13414715336461547, 0.13415658289810967, 0.13416655547118758, 0.1341770836538751, 0.13418818077274122, 0.13419986093704914, 0.13421213906671706, 0.13422503092218926, 0.13423855313632338, 0.13425272324841239, 0.13426755974046084, 0.13428308207585471, 0.13429931074056645, 0.13431626728705134, 0.13433397438100467, 0.13435245585115865, 0.13437173674231667, 0.13439184337183518, 0.13441280338978048, 0.13443464584300543, 0.13445740124341626, 0.1344811016407135, 0.13450578069992006, 0.1345314737840366, 0.13455821804218837, 0.13458605250366534, 0.13461501817828816, 0.13464515816357256, 0.1346765177592105, 0.13470914458942726, 0.13474308873383706, 0.13477840286747136, 0.13481514241072243, 0.1348533656900236, 0.13489313411016551, 0.13493451233925322, 0.13497756850740553, 0.13502237442043263, 0.13506900578986264, 0.13511754248085031, 0.13516806877969054, 0.13522067368287061, 0.13527545120984735, 0.13533250074201905, 0.13539192739070657, 0.13545384239735056, 0.13551836356958996, 0.13558561575744896, 0.13565573137448808, 0.13572885096956497, 0.13580512385574744, 0.13588470880403308, 0.13596777481083175, 0.13605450194975244, 0.1361450823201488, 0.13623972110717297, 0.13633863777091185, 0.13644206738558304, 0.13655026215395477, 0.13666349312727163, 0.13678205216727485, 0.13690625419466448, 0.13703643977798727, 0.13717297812886428, 0.13731627058436283, 0.13746675467591926, 0.13762490890757104, 0.13779125839566034, 0.13796638155936999, 0.13815091809867719, 0.13834557855656016, 0.13855115583953279, 0.13876853917005003, 0.13899873107321878, 0.13924286816812975, 0.139502246754272, 0.1397783544740217, 0.14007290971847272, 0.14038791096134745, 0.14072569890479161, 0.14108903527352679, 0.14148120340452722, 0.14190613760069198, 0.1423685907750713, 0.14287435354593397, 0.14343054316647594, 0.14404598827722495, 0.14473174668624833, 0.14550181015931968, 0.14637407565857719, 0.14737170167110467, 0.14852502955977584, 0.14987434714321424, 0.15147392833512952, 0.15339803810320055, 0.15575001252859147, 0.15867621802028598, 0.16238782813617311, 0.16719513971008704, 0.17356166069296353, 0.18218760257199579, 0.19413006290639326, 0.21094260005969137, 0.23471777304054556, 0.26763627071788187, 0.31017075038774583, 0.35743478854325733, 0.39662872561362672, 0.41208765778031881, 0.39662872561365087, 0.35743478854325111, 0.31017075038770353, 0.267636270717868, 0.23471777304054692, 0.21094260005965909, 0.19413006290640378, 0.18218760257199937, 0.17356166069297146, 0.16719513971009264, 0.16238782813617086, 0.15867621802028309, 0.15575001252859122, 0.1533980381032011, 0.15147392833512924, 0.14987434714321535, 0.14852502955977478, 0.14737170167110239, 0.14637407565857777, 0.14550181015932059, 0.14473174668624814, 0.14404598827722534, 0.1434305431664756, 0.14287435354593386, 0.1423685907750713, 0.1419061376006916, 0.14148120340452755, 0.14108903527352662, 0.14072569890479156, 0.14038791096134803, 0.1400729097184725, 0.1397783544740217, 0.13950224675427222, 0.13924286816812995, 0.1389987310732187, 0.13876853917004978, 0.13855115583953265, 0.13834557855656027, 0.13815091809867711, 0.13796638155937024, 0.13779125839566053, 0.13762490890757081, 0.13746675467591946, 0.13731627058436288, 0.13717297812886403, 0.13703643977798718, 0.1369062541946646, 0.13678205216727496, 0.13666349312727169, 0.13655026215395494, 0.1364420673855832, 0.1363386377709116, 0.13623972110717283, 0.13614508232014888, 0.13605450194975244, 0.1359677748108315, 0.13588470880403319, 0.13580512385574744, 0.13572885096956472, 0.13565573137448789, 0.13558561575744871, 0.13551836356958996, 0.13545384239735053, 0.13539192739070677, 0.13533250074201902, 0.13527545120984749, 0.13522067368287061, 0.13516806877969045, 0.1351175424808502, 0.13506900578986278, 0.13502237442043261, 0.13497756850740536, 0.1349345123392533, 0.13489313411016568, 0.13485336569002385, 0.13481514241072248, 0.13477840286747136, 0.13474308873383706, 0.13470914458942704, 0.13467651775921052, 0.13464515816357284, 0.13461501817828808, 0.1345860525036652, 0.13455821804218832, 0.13453147378403663, 0.1345057806999202, 0.1344811016407135, 0.13445740124341615, 0.13443464584300527, 0.13441280338978051, 0.13439184337183521, 0.13437173674231667, 0.13435245585115846, 0.13433397438100472, 0.13431626728705143, 0.13429931074056656, 0.13428308207585452, 0.13426755974046073, 0.13425272324841214, 0.13423855313632338, 0.13422503092218932, 0.13421213906671711, 0.134199860937049, 0.13418818077274119, 0.13417708365387496, 0.1341665554711875, 0.13415658289810986, 0.13414715336461536, 0.13413825503278981, 0.1341298767740299, 0.13412200814779796, 0.13411463938185816, 0.13410776135392521, 0.13410136557466268, 0.134095444171978, 0.13408998987655815, 0.13408499600859661, 0.13408045646567129, 0.13407636571173223, 0.13407271876716129, 0.13406951119987404, 0.13406673911743253, 0.13406439916014465, 0.13406248849512947, 0.13406100481132457, 0.13405994631542467, 0.13405931172873659, 0.13405910028493753, 0.13405920599956533, 0.13405952318380482, 0.13406005195873549, 0.13406079252618608, 0.13406174516878128, 0.13406291025000661, 0.1340642882142877, 0.1340658795870911, 0.13406768497504043, 0.13406970506604737, 0.13407194062946134, 0.13407439251623096, 0.13407706165908395, 0.13407994907271481, 0.13408305585398936, 0.13408638318215801, 0.13408993231908001, 0.13409370460945436, 0.13409770148106062, 0.1341019244449996, 0.1341063750959452, 0.13411105511239002, 0.13411596625689487, 0.13412111037633387, 0.13412648940213431, 0.13413210535050857, 0.13413796032267328, 0.13414405650505831, 0.13415039616949412, 0.13415698167337978, 0.13416381545982697, 0.13417090005777443, 0.13417823808206825, 0.13418583223350433, 0.13419368529882994, 0.13420180015069327, 0.13421017974754182, 0.13421882713345759, 0.13422774543792823, 0.134236937875543, 0.1342464077456052, 0.13425615843166019, 0.13426619340092044, 0.13427651620358791, 0.13428713047205662, 0.13429803991999201, 0.13430924834127145, 0.13432075960877593, 0.13433257767302181, 0.13434470656061773, 0.13435715037253679, 0.13436991328218451, 0.13438299953325183, 0.13439641343733505, 0.13441015937130607, 0.13442424177441481, 0.13443866514510835, 0.13445343403753904, 0.13446855305775207, 0.13448402685952149, 0.13449986013981671, 0.13451605763387522, 0.13453262410985445, 0.13454956436304172, 0.13456688320958984, 0.13458458547975596, 0.13460267601060927, 0.13462115963818563, 0.13464004118904832, 0.1346593254712341, 0.13467901726454418, 0.13469912131015169, 0.13471964229949143, 0.1347405848623982, 0.13476195355445936, 0.13478375284354766, 0.13480598709550404, 0.13482866055893156, 0.13485177734907464, 0.1348753414307475, 0.13489935660028782, 0.13492382646650453, 0.13494875443059592, 0.13497414366502197, 0.1349999970913052, 0.1350263173567578, 0.13505310681011931, 0.13508036747611221, 0.13510810102891554, 0.1351363087645803, 0.13516499157240455, 0.13519414990531076, 0.13522378374927255, 0.13525389259185233, 0.13528447538993549, 0.13531553053674628, 0.13534705582827553, 0.13537904842924675, 0.13541150483878348, 0.13544442085596936, 0.13547779154550599, 0.13551161120372224, 0.13554587332520202, 0.13558057057034931, 0.13561569473423293, 0.13565123671709953, 0.13568718649698736, 0.13572353310490604, 0.13576026460310336, 0.13579736806698162, 0.13583482957127785, 0.13587263418115988, 0.13591076594895701, 0.13594920791727316, 0.13598794212929494, 0.13602694964713666, 0.13606621057912177, 0.13610570411692954, 0.13614540858357449, 0.13618530149321506, 0.13622535962380769, 0.1362655591036416, 0.136305875512785, 0.13634628400047921, 0.136386759419485, 0.13642727647837283, 0.13646780991268193, 0.13650833467583459, 0.13662961433109228, 0.13674998382810211, 0.136868952035371, 0.13698623516667485, 0.13710185690509782, 0.13721626343823348, 0.13733045134148628, 0.13744610611898861, 0.13756575018892617, 0.1376929016615758, 0.13783224986093873, 0.13798986063864624, 0.13817343471198223, 0.138392656578222, 0.13865969213278748, 0.13898992418796444, 0.13940306491170995, 0.13992486872975277, 0.14058981970235992, 0.14144544710721868, 0.14255946631649902, 0.14403205063410909, 0.1460179352371766, 0.14876859729135125, 0.15271868513059739, 0.15867958644877184, 0.16832505112589552, 0.18560480400475099, 0.22176106548693753, 0.31794236845681878, 0.61683963678730258, 0.49209753554019114, 0.21269474736973543, 0.14945469681007409, 0.13098636688292137, 0.12402723318226062, 0.12092070281192105, 0.11933730454965059, 0.118416642955287, 0.11779484349255395, 0.11730248693518998, 0.11685603384223925, 0.11641553377249617, 0.115969723997169, 0.11553749798937563, 0.11518879344955769, 0.1151071523081644, 0.11577133604914798, 0.11854727709017517, 0.12803355858050366, 0.1645139482653806, 0.35828706305342706, 0.79938287378623629, 0.38614022395190023, 0.24552544971126675, 0.19737639239040236, 0.17518610041837007, 0.16287232528658854, 0.15516738777469555, 0.14992705190818614, 0.14613690627608114, 0.14326196013872466, 0.14099602628074065, 0.13915240763203116, 0.1376114569376734, 0.13629348115102588, 0.13514392216324889, 0.13412493660310429, 0.13321057087164187, 0.13238416358705968, 0.13163736109435825, 0.13097061974014063, 0.13039552542135818, 0.12993990580597417, 0.12965790282990641, 0.12964970754092867, 0.13010154927052187, 0.13137137249049013, 0.13418652008232484, 0.14014479712806044, 0.1531429359425403, 0.18406761276224687, 0.26831651587824856, 0.51467100057482262, 0.79503289888764939, 0.54847457639837882, 0.35597824299506164, 0.27003744223515175, 0.22744803185181131, 0.20340788381308461, 0.18840613432331357, 0.17831802503790001, 0.17113849267693906, 0.1657987541875339, 0.16168563829576996, 0.15842589258415465, 0.1557810340614601, 0.15359244427206364, 0.15175100542331518, 0.15017947316750155, 0.14882181007852888, 0.14763649587835262, 0.14659219881365718, 0.14566489694753501, 0.14483591662022099, 0.14409056656085698, 0.14341716804275312, 0.14280635397905539, 0.14225055415540125, 0.14174361153066711, 0.1412804922893135, 0.14085706392394956, 0.14046992334217495, 0.14011626221436019, 0.13979376037086583, 0.13950050056440233, 0.13923489968772423, 0.13899565280917292, 0.13878168731203486, 0.13859212510141938, 0.13842625134507619, 0.13828348859086892, 0.13816337538770052, 0.13806554875274962, 0.13798972999327097, 0.13793571351882269, 0.13790335837904241, 0.13789258234044138, 0.13789976564131506, 0.13792132479687691, 0.13795728785302955, 0.13800770251266073, 0.13807263758519678, 0.1381521850364234, 0.13824646266026977, 0.13835561740220398, 0.13847982937329512, 0.13861931660519788, 0.13877434060977187, 0.13894521282334066, 0.13913230203533186, 0.13933604292503707, 0.13955694585947853, 0.13979560814105813, 0.14005272693744311, 0.14032911417984736, 0.14062571378220218, 0.14094362161583457, 0.14128410877648551, 0.1416486488083899, 0.14203894971092368, 0.14245699175674137, 0.14290507240904238, 0.1433858599568103, 0.14390245791353329, 0.14445848277813561, 0.14505815847917197, 0.14570643177310966, 0.14640911412563284, 0.14717305728433064, 0.14800637201097636, 0.14891870250802441, 0.14992157327147052, 0.15102883090071192, 0.15225721148318716, 0.15362707556394178, 0.15516336892649665, 0.15689689074566968, 0.1588659846280224, 0.16111881803835904, 0.16371649005435909, 0.1667373195738388, 0.17028283708751107, 0.17448626650041779, 0.17952469267951718, 0.18563674946994896, 0.1931486596520478, 0.20251299131418798, 0.21436675933895005, 0.22961850673343212, 0.24957680168360524, 0.27613068521205553, 0.31197001381505352, 0.36074145571249222, 0.42675003230366415, 0.5131434935438618, 0.61675392402437423, 0.71996436294719757, 0.79052159540087164, 0.80425467916383264, 0.76910666529187488, 0.7136386799618949, 0.66172315958781835, 0.6249228834881031, 0.60705943490433101, 0.60920470483421363, 0.63193083740401346, 0.67480209218965093, 0.7321621886537526, 0.78417820515837633, 0.7923460733404758, 0.72665578083845417, 0.60775148035053705, 0.4852341322454885, 0.38773891716200309, 0.31837161067531827, 0.27073581897701193, 0.23799479233688975, 0.21511915821775288, 0.19878084487583736, 0.18683913046203121, 0.1779147601465888, 0.1711064840999294, 0.16581410284380066, 0.16162964123675558, 0.15827009274332524, 0.15553528786557061, 0.15328104327725928, 0.15140173054004746, 0.14981874825726849, 0.14847275993717407, 0.14731837694923444, 0.14632045679957795, 0.14545148640041414, 0.14468970569621611, 0.14401774405711226, 0.14342161682546634, 0.1428899781787806, 0.14241355868069111, 0.1419847374633148, 0.14159721362743627, 0.14124575151491509, 0.14092598151419147, 0.14063424299207261, 0.1403674594551908, 0.14012303856865985, 0.13989879149253295, 0.13969286734044212, 0.1395036995588001, 0.13932996176658788, 0.13917053115368061, 0.13902445795878307, 0.13889093987134474, 0.1387693004506961, 0.13865897084854631, 0.13855947427148618, 0.13847041273827093, 0.13839145577989287, 0.13832233080439441, 0.1382628149072736, 0.1382127279553905, 0.13817192681006474, 0.13814030058542803, 0.13811776686268737, 0.13810426880101181, 0.13809977310229088], [0.14163616268987853, 0.14164621204459241, 0.14167639891943895, 0.14172684116568979, 0.14179773998247766, 0.14188938726544678, 0.14200217626497783, 0.14213661595790825, 0.14229334970406335, 0.14247317897261377, 0.14267709320287411, 0.14290630723695028, 0.14316230826678658, 0.1434469149323048, 0.14376235217425537, 0.14411134681099738, 0.14449725076487346, 0.14492420170959602, 0.14539733511747102, 0.14592306801664412, 0.14650948448065765, 0.14716686808731599, 0.14790845097610103, 0.14875148925284026, 0.1497188423832071, 0.15084135283500577, 0.15216153707161828, 0.15373950440082629, 0.15566282203511639, 0.15806371980449971, 0.16115075946541668, 0.1652710684145299, 0.17104293033659324, 0.17966873147280388, 0.19377921070700532, 0.22016106044763045, 0.2810308771121503, 0.47290410982876901, 0.73358387606684294, 0.26368503658140197, 0.158861904740317, 0.13748482289087957, 0.13205819941542499, 0.13088818490322801, 0.13109178431454926, 0.13177480816737874, 0.13261867941180139, 0.1335012291933752, 0.13437514246795282, 0.13522376276442949, 0.13604349270531349, 0.13683631064949567, 0.13760643975893344, 0.13835882001300528, 0.13909839270301744, 0.1398297561753804, 0.14055698690269369, 0.14128352569704344, 0.14201207838762514, 0.14274450454261375, 0.14348168068086656, 0.14422333250698219, 0.14496783743628028, 0.14571200597487283, 0.14645085944553077, 0.14717743241582665, 0.14788264036080451, 0.14855526465771215, 0.14918211446752694, 0.14974842343314748, 0.15023852286958519, 0.15063679812816591, 0.1509288813795327, 0.15110296977828716, 0.15115109868438392, 0.15107016636664397, 0.15086251813311696, 0.15053596098895672, 0.15010318327005107, 0.14958066907086123, 0.14898729023886728, 0.14834280292130364, 0.14766646334716607, 0.14697592053783409, 0.14628646563120778, 0.14561064284322939, 0.14495817234455621, 0.14433610638458447, 0.14374913404296213, 0.14319995971171018, 0.14268969785719093, 0.14221824553083712, 0.14178461069407078, 0.14138718706997905, 0.14102397477906514, 0.14069275108284449, 0.14039119803782796, 0.14011699461240174, 0.13986788053498594, 0.1396416983239859, 0.13943641892635475, 0.13925015535744209, 0.13908116779314231, 0.1389278627600623, 0.13878878840937464, 0.1386626273355151, 0.13854818799405949, 0.13844439546361884, 0.13835028206515387, 0.1382649781816358, 0.13818770349732426, 0.13811775878760255, 0.13805451832834545, 0.13799742295122663, 0.13794597374294518, 0.13789972636810491, 0.13785828598448452, 0.13782130271350654, 0.13778846762631564, 0.13775950920583749, 0.13773419024671746, 0.13771230515755661, 0.13769367763297688, 0.13767815866647043, 0.1376656248785684, 0.13765597713846037, 0.13764913946075641, 0.13764505816257405, 0.13764370126953387, 0.13764392365673367, 0.13764459108755422, 0.13764570437013401, 0.13764726485295423, 0.13764927442722225, 0.13765173553021604, 0.13765465114960551, 0.13765802482876083, 0.13766186067306627, 0.13766616335726156, 0.13767093813383244, 0.13767619084247842, 0.13768192792069239, 0.1376881564154778, 0.13769488399625626, 0.13770211896899401, 0.1377098702916057, 0.13771814759068013, 0.13772696117959013, 0.13773632207804426, 0.13774624203314739, 0.13775673354204937, 0.1377678098762517, 0.13777948510766397, 0.13779177413650087, 0.1378046927211187, 0.13781825750990007, 0.13783248607530207, 0.13784739695019596, 0.13786300966662932, 0.13787934479716052, 0.13789642399892127, 0.13791427006057647, 0.13793290695236574, 0.13795235987942286, 0.1379726553385886, 0.13799382117894585, 0.13801588666632786, 0.13803888255206598, 0.13806284114627487, 0.13808779639598637, 0.13811378396847634, 0.13814084134015864, 0.13816900789144956, 0.13819832500804308, 0.13822883618907839, 0.13826058716272022, 0.13829362600972797, 0.1383280032956348, 0.13836377221222579, 0.1384009887290695, 0.13843971175592801, 0.138480003316963, 0.13852192873774427, 0.1385655568461836, 0.13861096018863089, 0.13865821526251829, 0.13870740276709409, 0.13875860787397123, 0.13881192051943281, 0.13886743572067475, 0.13892525391845689, 0.138985481348953, 0.13904823044798711, 0.13911362029128735, 0.13918177707491347, 0.13925283464065474, 0.1393269350519106, 0.13940422922646906, 0.13948487763362, 0.13956905106430911, 0.13965693148452474, 0.13974871298391781, 0.13984460283383898, 0.13994482267159927, 0.14004960983098561, 0.14015921884295379, 0.14027392313520781, 0.14039401696523612, 0.14051981762859345, 0.14065166799312154, 0.14078993942085877, 0.1409350351531099, 0.14108739425128949, 0.14124749620761365, 0.1414158663667025, 0.14159308233321988, 0.14177978158387236, 0.14197667055708321, 0.14218453556402944, 0.14240425595524742, 0.14263682009401399, 0.1428833448399231, 0.14314509944522211, 0.14342353502885871, 0.14372032114129787, 0.14403739139864485, 0.14437700079208884, 0.14474179813213578, 0.14513491825884745, 0.1455601002745186, 0.14602184033375795, 0.14652559075757898, 0.14707802187819247, 0.14768736977109226, 0.14836390298787427, 0.14912055630872062, 0.14997380219956286, 0.15094486570168089, 0.15206144361391563, 0.15336017717207429, 0.15489027171894212, 0.1567188971720497, 0.15893941123632149, 0.16168415347799059, 0.16514479971869322, 0.16960546944827437, 0.17549767436751698, 0.18349284822735012, 0.19465829210927763, 0.21071180622212801, 0.23439085202876886, 0.26978460703849133, 0.32181421977363667, 0.39258853075398659, 0.47293277970469477, 0.5382008342747806, 0.56305506255074178, 0.53820083427482313, 0.47293277970468051, 0.39258853075391525, 0.32181421977361252, 0.26978460703849011, 0.23439085202872195, 0.21071180622214281, 0.19465829210928254, 0.18349284822735989, 0.1754976743675242, 0.16960546944827154, 0.16514479971869006, 0.16168415347799023, 0.15893941123632199, 0.15671889717204943, 0.15489027171894343, 0.15336017717207306, 0.15206144361391313, 0.15094486570168142, 0.14997380219956385, 0.14912055630872043, 0.14836390298787469, 0.14768736977109198, 0.14707802187819236, 0.14652559075757898, 0.14602184033375751, 0.14556010027451893, 0.14513491825884725, 0.1447417981321357, 0.1443770007920894, 0.1440373913986446, 0.14372032114129785, 0.14342353502885902, 0.14314509944522236, 0.14288334483992302, 0.14263682009401371, 0.14240425595524731, 0.14218453556402952, 0.14197667055708307, 0.14177978158387264, 0.14159308233322004, 0.14141586636670228, 0.14124749620761387, 0.14108739425128958, 0.14093503515310968, 0.14078993942085866, 0.14065166799312159, 0.14051981762859356, 0.14039401696523615, 0.14027392313520798, 0.14015921884295393, 0.14004960983098527, 0.13994482267159905, 0.13984460283383904, 0.13974871298391783, 0.13965693148452454, 0.13956905106430922, 0.13948487763362, 0.13940422922646878, 0.13932693505191035, 0.13925283464065447, 0.13918177707491353, 0.13911362029128735, 0.13904823044798739, 0.138985481348953, 0.13892525391845706, 0.13886743572067475, 0.1388119205194327, 0.13875860787397107, 0.13870740276709423, 0.13865821526251831, 0.13861096018863076, 0.1385655568461836, 0.13852192873774444, 0.13848000331696322, 0.13843971175592801, 0.13840098872906947, 0.13836377221222579, 0.13832800329563458, 0.13829362600972803, 0.13826058716272041, 0.13822883618907827, 0.13819832500804294, 0.13816900789144951, 0.13814084134015872, 0.13811378396847643, 0.13808779639598645, 0.13806284114627482, 0.13803888255206576, 0.13801588666632786, 0.1379938211789459, 0.13797265533858857, 0.1379523598794227, 0.13793290695236579, 0.13791427006057658, 0.13789642399892141, 0.13787934479716035, 0.1378630096666292, 0.13784739695019574, 0.13783248607530202, 0.13781825750990015, 0.13780469272111875, 0.13779177413650073, 0.13777948510766391, 0.13776780987625162, 0.13775673354204929, 0.13774624203314759, 0.13773632207804418, 0.13772696117959038, 0.13771814759068035, 0.1377098702916057, 0.13770211896899398, 0.13769488399625637, 0.13768815641547805, 0.13768192792069234, 0.13767619084247865, 0.13767093813383238, 0.13766616335726151, 0.13766186067306635, 0.13765802482876074, 0.13765465114960546, 0.13765173553021609, 0.13764927442722211, 0.13764726485295431, 0.1376457043701341, 0.13764459108755434, 0.13764392365673372, 0.1376437012695336, 0.13764381245544483, 0.13764414605549205, 0.13764470219662778, 0.13764548109047098, 0.13764648303335686, 0.13764770840640594, 0.13764915767560881, 0.13765083139193296, 0.13765273019144711, 0.1376548547954608, 0.13765720601068371, 0.13765978472939858, 0.13766259192965247, 0.13766562867545795, 0.1376688961170115, 0.13767239549092156, 0.13767612812044863, 0.13768009541575313, 0.13768429887415304, 0.13768874008038351, 0.13769342070686674, 0.13769834251397764, 0.13770350735031278, 0.13770891715295622, 0.1377145739477397, 0.13772047984949573, 0.13772663706229774, 0.13773304787969012, 0.13773971468489637, 0.13774663995100839, 0.13775382624115046, 0.13776127620861334, 0.13776899259695446, 0.13777697824005791, 0.13778523606215395, 0.13779376907778398, 0.13780258039171425, 0.13781167319878335, 0.13782105078368465, 0.13783071652067103, 0.13784067387317384, 0.13785092639333438, 0.13786147772142965, 0.13787233158519191, 0.13788349179900483, 0.13789496226297221, 0.13790674696184341, 0.13791884996378484, 0.1379312754189867, 0.13794402755808857, 0.13795711069041394, 0.13797052920199407, 0.13798428755336956, 0.13799839027714969, 0.13801284197531574, 0.13802764731624523, 0.13804281103144386, 0.1380583379119564, 0.13807423280444459, 0.13809050060690256, 0.13810714626398926, 0.13812417476195354, 0.13814159112312449, 0.13815940039994393, 0.13817760766850801, 0.1381962180215961, 0.13821523656114953, 0.13823466839017812, 0.13825451860405338, 0.13827479228116565, 0.13829549447290448, 0.138316630192932, 0.13833820440571537, 0.13836022201428241, 0.13838268784716584, 0.13840560664450152, 0.13842898304324835, 0.13845282156149225, 0.13847712658180519, 0.13850190233362586, 0.13852715287463391, 0.13855288207108957, 0.13857909357711268, 0.13860579081288671, 0.13863297694176083, 0.13866065484624995, 0.13868882710291708, 0.13871749595614713, 0.13874666329081356, 0.13877633060386446, 0.13880649897484848, 0.13883716903542598, 0.1388683409379175, 0.13890001432295482, 0.13893218828632581, 0.13896486134510552, 0.13899803140320977, 0.13903169571650636, 0.13906585085765627, 0.13910049268088787, 0.13913561628691901, 0.13917121598829646, 0.13920728527543255, 0.13924381678367601, 0.13928080226177564, 0.13931823254214759, 0.13935609751339856, 0.13939438609559579, 0.13943308621882874, 0.13947218480565521, 0.13951166775807475, 0.13955151994971449, 0.13959172522398058, 0.13963226639896018, 0.13967312527992556, 0.13971428268032368, 0.13975571845219445, 0.13979741152699157, 0.13983933996782205, 0.13988148103414916, 0.13992381126002662, 0.13996630654695211, 0.140008942272424, 0.14005169341529275, 0.14009453469896754, 0.14013744075352538, 0.14018038629770407, 0.14022334634172304, 0.14035207281958637, 0.14048010976451678, 0.14060698863244392, 0.14073246574729889, 0.14085662871222096, 0.14098001905825933, 0.14110376930204824, 0.14122975259620316, 0.14136074438014992, 0.14150059840748569, 0.14165444477374428, 0.1418289256735234, 0.1420324963783654, 0.14227583577187009, 0.1425724355102321, 0.14293947502747731, 0.14339915194181252, 0.14398074491151122, 0.14472388034329833, 0.14568384172268639, 0.14694048770391685, 0.14861386291304349, 0.15089295446666004, 0.15409209885359262, 0.15877058968884852, 0.16601246820421858, 0.17816946347970136, 0.20119427438033172, 0.25378895099401516, 0.41123337867473841, 0.71774729304278484, 0.32595279266314287, 0.17742514225422668, 0.14176492841544713, 0.13012879603983801, 0.12543953263260152, 0.12325301230261626, 0.12209613670629393, 0.12139234526597092, 0.12088767815816685, 0.12046029561347528, 0.12004872742484023, 0.11962314120934531, 0.11917541418840011, 0.11872128865202032, 0.11831767723487759, 0.11811250133707629, 0.11848495238976364, 0.12048433842482571, 0.1274685983422485, 0.15306118437806271, 0.27646935099713027, 0.79413635304246299, 0.47247405660952069, 0.27445688131381596, 0.21179998276081949, 0.18462153282175378, 0.17010335808755803, 0.16124721490317462, 0.15533199950734683, 0.1511114996930169, 0.14794400971347485, 0.14546888918899675, 0.14346931050937192, 0.1418078021596505, 0.14039348700463555, 0.13916437282480759, 0.13807734242294101, 0.13710237279396334, 0.13621928174902506, 0.135416190413263, 0.13468941734917872, 0.13404494448329463, 0.13350211327859096, 0.13310108956241182, 0.13291742032030862, 0.13309100915077796, 0.13388656860751469, 0.13582833304679279, 0.14002673437546376, 0.14905938443798084, 0.16967943255056134, 0.22243578829245589, 0.37662840099481293, 0.72733046848604876, 0.68695426686249206, 0.42957536183964923, 0.30613079140709765, 0.24834594437588661, 0.21741164217632439, 0.19886274243436952, 0.18675518213418296, 0.17833159138519933, 0.17217637886755233, 0.16750145846200151, 0.16383863335613436, 0.16089467222515055, 0.15847775680097387, 0.15645776432363501, 0.15474367193868857, 0.15327011864273701, 0.15198910269046631, 0.15086467923533201, 0.14986947441723453, 0.14898233419991977, 0.14818670202606041, 0.1474694762714352, 0.14682019062343463, 0.14623041616856242, 0.14569331846185632, 0.14520332472014022, 0.14475587044294314, 0.14434720411444857, 0.14397423492281627, 0.14363441272540389, 0.14332563246580773, 0.14304615734367027, 0.14279455653216652, 0.14256965431688162, 0.14237048831777649, 0.14219627503784737, 0.14204638141590112, 0.14192030138718745, 0.14181763670302833, 0.14173808144948463, 0.1416814098505467, 0.14164746705432768, 0.14163616268987853, 0.14164369814658387, 0.1416663148132524, 0.14170404389219957, 0.14175693843271753, 0.14182507491082755, 0.14190855546470593, 0.1420075108109862, 0.14212210387636498, 0.14225253418983458, 0.14239904309384194, 0.14256191984827446, 0.14274150872008443, 0.14293821717431382, 0.14315252531025757, 0.14338499672069754, 0.14363629099401207, 0.14390717813052104, 0.14419855520794775, 0.14451146570969545, 0.1448471220277027, 0.14520693177434216, 0.14559252869221062, 0.14600580914591096, 0.14644897542849342, 0.14692458743347597, 0.14743562465363766, 0.14798556100022933, 0.14857845563209052, 0.14921906390030548, 0.14991297372944259, 0.15066677438177353, 0.15148826674271132, 0.15238672724742661, 0.15337324166232863, 0.1544611306101788, 0.15566649667509413, 0.15700893417323272, 0.15851245877857009, 0.160206737519207, 0.16212873386914498, 0.16432493348592747, 0.16685439268229529, 0.16979296859330836, 0.17323927101255046, 0.17732316019963715, 0.18221806762143627, 0.18815914577594245, 0.19547043761442778, 0.20460618189140647, 0.21621445983638066, 0.23123611679501266, 0.25105819211609604, 0.27774572782395762, 0.3143625318535857, 0.36529758870189488, 0.436136812728047, 0.53148581475936518, 0.64719009663945304, 0.7561366530360093, 0.80908940769863547, 0.7802420898666621, 0.69913246556952724, 0.61055143075484775, 0.5380959561983345, 0.48691188461926638, 0.4552489153944293, 0.44058591849070616, 0.44170171078447162, 0.45927449660292552, 0.49605563346740261, 0.55631829083256412, 0.64206797842001417, 0.73964149553853054, 0.79802813106206716, 0.75358017306705627, 0.62383728824372842, 0.48665848725109845, 0.3825623204037395, 0.31220434313868412, 0.26572857330813032, 0.23460766103213201, 0.21321951906915551, 0.1980931818281243, 0.18709650575919179, 0.17889797880837219, 0.1726459433389709, 0.16778148109231777, 0.16392845357296182, 0.16082767651617694, 0.15829661784241758, 0.15620413839659802, 0.15445429411378769, 0.15297572027581494, 0.15171453063956911, 0.15062947651303896, 0.1496885878014553, 0.14886680393922561, 0.14814427748481593, 0.14750514219308328, 0.14693660662954802, 0.14642827914011014, 0.14597165938133144, 0.14555975121925671, 0.14518676506854589, 0.14484788684073005, 0.14453909698969308, 0.14425702758529166, 0.14399884850520783, 0.14376217610585787, 0.14354499938201457, 0.14334561983375105, 0.14316260215398721, 0.14299473351787817, 0.1428409897582662, 0.14270050709321616, 0.14257255836375177, 0.1424565329650217, 0.14235191982882275, 0.14225829295185316, 0.14217529907126172, 0.14210264717371041, 0.14204009959132896, 0.14198746449140104, 0.14194458960939438, 0.14191135710921549, 0.14188767948223108, 0.14187349641907518, 0.1418687726067446], [0.14529318496335397, 0.14530371875871931, 0.14533536206626177, 0.14538824218840307, 0.14546257647799032, 0.14555868030891872, 0.14567697864535667, 0.14581802165787489, 0.14598250502130686, 0.14617129576788282, 0.14638546488235132, 0.14662632824457475, 0.14689549809427568, 0.14719494797735122, 0.14752709523017976, 0.1478949066135456, 0.14830203494505509, 0.14875299784755319, 0.1492534145869914, 0.14981032431883176, 0.15043262039477348, 0.15113165324709993, 0.15192208320962941, 0.15282311243918953, 0.15386030670020068, 0.15506836172705327, 0.1564954324841063, 0.15821014734018032, 0.16031343998365519, 0.16295947952836806, 0.1663948601514196, 0.17103723689153877, 0.17764728944753952, 0.18774841777531223, 0.20481021128345042, 0.23830750519109584, 0.32177554358429272, 0.59679050370604103, 0.57796655678840947, 0.21845871937104364, 0.15311755919876399, 0.13849830203311836, 0.13475729853941534, 0.13412890994228566, 0.13453928185825409, 0.1353132877874961, 0.13620368863321036, 0.13711474760797768, 0.13800990254842554, 0.13887719050868813, 0.13971518377098763, 0.14052692078569873, 0.14131717933242241, 0.14209121962943211, 0.14285419448264206, 0.14361086363646688, 0.14436544076224889, 0.14512148842955061, 0.14588181744977533, 0.14664836727194219, 0.14742205508054212, 0.14820258848735615, 0.14898824323140902, 0.14977561488929064, 0.15055936330470687, 0.15133198060786507, 0.15208362764871119, 0.15280209730188563, 0.15347297246592267, 0.15408004592781821, 0.15460605202423691, 0.15503372110724051, 0.15534710710323438, 0.15553306435391931, 0.15558268070231424, 0.15549243412877845, 0.15526485242741941, 0.15490852785057907, 0.15443745804437439, 0.15386981778549666, 0.15322637250877699, 0.15252879377186607, 0.15179812021330683, 0.15105353989534739, 0.15031157935965456, 0.14958569961126242, 0.1488862382616421, 0.1482206062106235, 0.14759364256218421, 0.14700804408964657, 0.14646480624750841, 0.14596363443030416, 0.14550330278870255, 0.14508195180251318, 0.14469732498106591, 0.14434695033207942, 0.14402827467308249, 0.14373875944033587, 0.14347594615549511, 0.14323749868657001, 0.14302122823698288, 0.14282510581728214, 0.14264726590045998, 0.14248600407334588, 0.14233977077653445, 0.1422071626587372, 0.14208691263588685, 0.14197787941672649, 0.1418790370128932, 0.14178946457347627, 0.14170833675600714, 0.14163491475527018, 0.14156853804848638, 0.1415086168728307, 0.14145462542330445, 0.14140609574149413, 0.14136261225563873, 0.14132380692741506, 0.14128935495934933, 0.14125897101756277, 0.14123240592686215, 0.14120944379839925, 0.14118989955386399, 0.14117361681415558, 0.14116046612454791, 0.14115034349240638, 0.14114316921746509, 0.14113888699852165, 0.1411374633041324, 0.14113769695213599, 0.14113839817979906, 0.14113956783858317, 0.14114120734927352, 0.14114331870451152, 0.14114590447234854, 0.14114896780083774, 0.14115251242367524, 0.14115654266691005, 0.14116106345674706, 0.14116608032846542, 0.14117159943648369, 0.14117762756560784, 0.14118417214349044, 0.14119124125435809, 0.14119884365403665, 0.14120698878633853, 0.14121568680085975, 0.14122494857225273, 0.14123478572103876, 0.14124521063603129, 0.14125623649845595, 0.14126787730784243, 0.14128014790978824, 0.1412930640256915, 0.1413066422845608, 0.14132090025701896, 0.14133585649162567, 0.14135153055365934, 0.14136794306649716, 0.14138511575576052, 0.14140307149638959, 0.1414218343628369, 0.14144142968257647, 0.14146188409314386, 0.14148322560294269, 0.14150548365606705, 0.14152868920141329, 0.14155287476637485, 0.14157807453544366, 0.14160432443406201, 0.14163166221810169, 0.14166012756938182, 0.1416897621976696, 0.14172060994964972, 0.14175271692539254, 0.14178613160289785, 0.14182090497135025, 0.1418570906737748, 0.14189474515985873, 0.14193392784977454, 0.14197470130992573, 0.14201713144163472, 0.14206128768389786, 0.14210724323146032, 0.14215507526959581, 0.14220486522714229, 0.14225669904952429, 0.14231066749369758, 0.14236686644720045, 0.14242539727376666, 0.14248636718828353, 0.14254988966424489, 0.14261608487729693, 0.14268508018898174, 0.14275701067538119, 0.14283201970609097, 0.14291025957977166, 0.14299189222355008, 0.14307708996471008, 0.1431660363845553, 0.14325892726602318, 0.1433559716486888, 0.1434573930072888, 0.14356343057288906, 0.1436743408194989, 0.1437903991433841, 0.14391190176780128, 0.14403916791258323, 0.14417254227627668, 0.14431239788874339, 0.14445913940483548, 0.14461320692553603, 0.14477508045270668, 0.14494528510835797, 0.14512439728057469, 0.14531305189772944, 0.14551195108283174, 0.14572187450397964, 0.1459436918191889, 0.14617837772011152, 0.14642703021700684, 0.14669089298740196, 0.14697138284755845, 0.14727012371923767, 0.14758898888227065, 0.14793015386566094, 0.14829616309270532, 0.14869001444028596, 0.14911526731766223, 0.14957618189115471, 0.15007789994032067, 0.15062668192672657, 0.15123022080115514, 0.15189806182725046, 0.15264217078277026, 0.15347771277744132, 0.15442413465905544, 0.15550669238962861, 0.15675864256903005, 0.15822444500378355, 0.1599645377396334, 0.16206261511512632, 0.16463699094579876, 0.16785880950699861, 0.17198206244391545, 0.17739455097849, 0.18470703451325582, 0.19491351549214614, 0.20968479821098523, 0.23190262204964174, 0.26655833872163814, 0.32181293864146665, 0.40802336674090217, 0.52706752575845583, 0.64961986678214401, 0.72741148640973852, 0.75006640864159579, 0.72741148640977249, 0.64961986678211125, 0.52706752575833893, 0.40802336674086342, 0.32181293864146721, 0.26655833872156931, 0.23190262204966214, 0.20968479821099184, 0.19491351549215888, 0.18470703451326481, 0.17739455097848678, 0.17198206244391151, 0.16785880950699819, 0.16463699094579923, 0.16206261511512596, 0.15996453773963484, 0.15822444500378224, 0.15675864256902727, 0.15550669238962916, 0.15442413465905652, 0.1534777127774411, 0.15264217078277065, 0.15189806182725013, 0.151230220801155, 0.15062668192672657, 0.15007789994032023, 0.14957618189115504, 0.14911526731766203, 0.14869001444028593, 0.14829616309270599, 0.14793015386566072, 0.14758898888227065, 0.14727012371923798, 0.14697138284755867, 0.1466908929874019, 0.14642703021700654, 0.14617837772011141, 0.14594369181918898, 0.14572187450397958, 0.14551195108283208, 0.14531305189772967, 0.14512439728057444, 0.14494528510835825, 0.14477508045270673, 0.14461320692553573, 0.14445913940483537, 0.14431239788874345, 0.14417254227627679, 0.14403916791258328, 0.1439119017678015, 0.14379039914338435, 0.14367434081949859, 0.14356343057288884, 0.14345739300728885, 0.1433559716486888, 0.14325892726602299, 0.14316603638455538, 0.14307708996471, 0.14299189222354983, 0.14291025957977141, 0.14283201970609066, 0.14275701067538124, 0.14268508018898168, 0.14261608487729716, 0.14254988966424487, 0.14248636718828367, 0.1424253972737666, 0.14236686644720029, 0.14231066749369745, 0.14225669904952443, 0.14220486522714226, 0.14215507526959559, 0.14210724323146035, 0.14206128768389803, 0.142017131441635, 0.14197470130992576, 0.1419339278497746, 0.14189474515985873, 0.14185709067377458, 0.14182090497135028, 0.14178613160289805, 0.14175271692539243, 0.14172060994964958, 0.14168976219766954, 0.14166012756938187, 0.14163166221810175, 0.14160432443406212, 0.14157807453544358, 0.1415528747663746, 0.14152868920141332, 0.14150548365606708, 0.14148322560294271, 0.14146188409314364, 0.14144142968257647, 0.14142183436283706, 0.1414030714963897, 0.14138511575576032, 0.14136794306649711, 0.14135153055365904, 0.14133585649162567, 0.14132090025701899, 0.14130664228456088, 0.14129306402569139, 0.14128014790978816, 0.14126787730784235, 0.14125623649845587, 0.14124521063603154, 0.14123478572103865, 0.1412249485722529, 0.14121568680085991, 0.14120698878633856, 0.14119884365403659, 0.1411912412543582, 0.1411841721434908, 0.14117762756560776, 0.14117159943648394, 0.14116608032846539, 0.14116106345674703, 0.14115654266691011, 0.14115251242367516, 0.14114896780083774, 0.14114590447234862, 0.14114331870451141, 0.1411412073492736, 0.14113956783858328, 0.1411383981797992, 0.14113769695213604, 0.14113746330413207, 0.14113758012001237, 0.14113793061198679, 0.14113851491306822, 0.14113933324497829, 0.14114038591820069, 0.14114167333205424, 0.14114319597478392, 0.14114495442367428, 0.14114694934518204, 0.14114918149508546, 0.14115165171865399, 0.14115436095083297, 0.14115731021644806, 0.14116050063042035, 0.14116393339799985, 0.14116760981500964, 0.14117153126810339, 0.1411756992350307, 0.14118011528491459, 0.14118478107852989, 0.14118969836859421, 0.14119486900005487, 0.14120029491037925, 0.14120597812984323, 0.14121192078181433, 0.1412181250830275, 0.1412245933438489, 0.14123132796852955, 0.14123833145543699, 0.14124560639726716, 0.14125315548123285, 0.14126098148921942, 0.14126908729790749, 0.14127747587885445, 0.14128615029853436, 0.14129511371832204, 0.14130436939442503, 0.14131392067774756, 0.14132377101368743, 0.1413339239418534, 0.1413443830956943, 0.14135515220203879, 0.14136623508052473, 0.14137763564292113, 0.14138935789232163, 0.14140140592220721, 0.14141378391536119, 0.14142649614262559, 0.14143954696148681, 0.14145294081447529, 0.14146668222736786, 0.14148077580717222, 0.14149522623988192, 0.14151003828798209, 0.14152521678768953, 0.14154076664590554, 0.14155669283686648, 0.14157300039846257, 0.14158969442821287, 0.14160678007886573, 0.14162426255360372, 0.14164214710082756, 0.14166043900849079, 0.14167914359796163, 0.14169826621737799, 0.14171781223447216, 0.14173778702882803, 0.14175819598354647, 0.14177904447627837, 0.14180033786959989, 0.14182208150068953, 0.14184428067027538, 0.14186694063081787, 0.14189006657389011, 0.14191366361672242, 0.14193773678787375, 0.14196229101199737, 0.14198733109366324, 0.14201286170020647, 0.14203888734356812, 0.14206541236110054, 0.1420924408953084, 0.14211997687249883, 0.14214802398032783, 0.14217658564421506, 0.14220566500262866, 0.14223526488122482, 0.14226538776585337, 0.14229603577443181, 0.14232721062771794, 0.14235891361900274, 0.14239114558277416, 0.14242390686240661, 0.14245719727694736, 0.14249101608709644, 0.14252536196047796, 0.14256023293634928, 0.14259562638988912, 0.14263153899624881, 0.14266796669457904, 0.14270490465226146, 0.14274234722962623, 0.14278028794545317, 0.1428187194436088, 0.14285763346119806, 0.14289702079866126, 0.14293687129229316, 0.14297717378969704, 0.14301791612874912, 0.14305908512069215, 0.1431006665380353, 0.14314264510797711, 0.14318500451214283, 0.14322772739345843, 0.1432707953710553, 0.14331418906413101, 0.14335788812575656, 0.14340187128765153, 0.14344611641699334, 0.14349060058635846, 0.14353530015791721, 0.1435801908830262, 0.14362524801835996, 0.1436704464597332, 0.14371576089473251, 0.14376116597526786, 0.14380663651108597, 0.1438521476852527, 0.14398868764074976, 0.14412479055655728, 0.14426001554042439, 0.14439416554087442, 0.1445274005229216, 0.14466036836641938, 0.14479435195309898, 0.14493143108948081, 0.14507465942946127, 0.14522826000888567, 0.14539784901572309, 0.14559070672634236, 0.14581612820672576, 0.14608590630971027, 0.14641502938374468, 0.14682272316279449, 0.14733404460599928, 0.14798237270032519, 0.14881339342662986, 0.14989166122619646, 0.15131179955018392, 0.15321849826041423, 0.15584425166350557, 0.1595856229252241, 0.1651711217636091, 0.17407323663554417, 0.18967416039710322, 0.22125274158995603, 0.30132637322675915, 0.55786445070412005, 0.57963461443080566, 0.23766025971298141, 0.15945762437616812, 0.13818065765524543, 0.13058924433860522, 0.12736294253527788, 0.12580221475155817, 0.12494550645315354, 0.12439751155179164, 0.1239778847506478, 0.12359776090833556, 0.12321131862362318, 0.12279594883058693, 0.12234561307465844, 0.12187328187317428, 0.12142531689392577, 0.12112146657328393, 0.12126423166940709, 0.12266841795810887, 0.12782707341607238, 0.14613712734366655, 0.22671186309449878, 0.65498696580727334, 0.58913826481624376, 0.31198300128660883, 0.22877984216742184, 0.19505476067273944, 0.17779367117291456, 0.16755662202593405, 0.16085301290955822, 0.15613980469575808, 0.15264275406345817, 0.14993518191735145, 0.14776442274553428, 0.14597216086130169, 0.14445465313453454, 0.14314151182931348, 0.14198380736505609, 0.14094718795523503, 0.14000791173513794, 0.13915075754183792, 0.13836837387299156, 0.13766204519396405, 0.13704429312441671, 0.13654439909481991, 0.13621921712194099, 0.13617441546704417, 0.13660779160626979, 0.13790285870139143, 0.14084699050139374, 0.14719107774686774, 0.16126764579036099, 0.19538214179262797, 0.28997631100171939, 0.56080456631500897, 0.79425782513257992, 0.53271256483446339, 0.35486351959798301, 0.27449663739972036, 0.23387758975089448, 0.21059901604471437, 0.19590782848451968, 0.18594334357412559, 0.17880373705765168, 0.17346461615304695, 0.16933335849320791, 0.16604676737050056, 0.16337148128473833, 0.16115155853701318, 0.15927929674258579, 0.1576781963678956, 0.15629260116095761, 0.15508117310449884, 0.15401265445364454, 0.15306303984905023, 0.15221364357935274, 0.15144975004717509, 0.15075965311351353, 0.15013396020099884, 0.14956508007202765, 0.14904684022128922, 0.14857419716699935, 0.14814301428297, 0.14774988938915212, 0.14739201945769681, 0.14706709333377438, 0.1467732058479263, 0.14650878845357826, 0.14627255278532339, 0.14606344445088068, 0.14588060504395214, 0.14572334086582278, 0.145591097218701, 0.14548343741729169, 0.14540002588095238, 0.14534061483463792, 0.1453050342754906, 0.14529318496335397, 0.14530108365218353, 0.14532479115980598, 0.1453643421501605, 0.14541979553536905, 0.1454912361975344, 0.14557877742683889, 0.14568256410516506, 0.14580277667514399, 0.14593963594714143, 0.1460934088117205, 0.14626441494318901, 0.1464530346017861, 0.14665971766874444, 0.14688499408107458, 0.1471294858728974, 0.14739392107928198, 0.1476791498192693, 0.14798616294991201, 0.14831611377682968, 0.14867034342390895, 0.14905041061211541, 0.14945812678380216, 0.14989559774607161, 0.1503652733105782, 0.15087000679875384, 0.15141312678980104, 0.15199852415345369, 0.15263075828498554, 0.15331518762226884, 0.15405813108048846, 0.15486706914056503, 0.15575089618886273, 0.15672023964126891, 0.15778786685184051, 0.15896920848176688, 0.16028303790143567, 0.1617523618529528, 0.16340560037249716, 0.16527816753764379, 0.16741461477579664, 0.16987157457052779, 0.1727218596266305, 0.17606025604385384, 0.18001184103695486, 0.18474412815084867, 0.19048511958036571, 0.19755064033577502, 0.20638651046122186, 0.21763478937500375, 0.23223940933955722, 0.25161590132140965, 0.27792132341883907, 0.31446033186340877, 0.36618465182623183, 0.439822212661242, 0.54161017691095592, 0.66703886826267844, 0.7793320338588553, 0.81190794276506884, 0.74373426129251641, 0.63019711251415178, 0.5255476666162211, 0.44729963087899272, 0.39365569402524409, 0.35882299754899555, 0.33804871389778707, 0.32842799001174799, 0.32875674984421682, 0.33942759233144881, 0.36263082303599165, 0.40292078086986277, 0.46781774050801184, 0.5660402618852266, 0.69347643917107116, 0.79371403364493476, 0.76626523814505432, 0.62409264604681636, 0.47649722429264674, 0.37094894629132852, 0.30290983524748227, 0.25930376079141049, 0.23061248387754257, 0.21107804529485713, 0.19732151926354222, 0.18733168776808196, 0.17987739570267633, 0.17418110640740062, 0.16973657386604143, 0.1662047132029395, 0.16335246426492064, 0.16101585988603997, 0.1590770938716197, 0.15744990976402279, 0.15607006629569173, 0.15488897745527741, 0.15386938373891099, 0.15298235084230741, 0.15220515302826171, 0.15151975684195546, 0.15091171908674414, 0.15036937510206544, 0.14988323340678003, 0.14944551899866881, 0.14904982506605433, 0.1486908446733643, 0.14836416207535, 0.14806608893570908, 0.14779353467850184, 0.14754390301274034, 0.14731500869309519, 0.14710501004967533, 0.14691235389885848, 0.14673573024666514, 0.14657403479397169, 0.14642633770365551, 0.14629185743253947, 0.1461699386936573, 0.14606003381711385, 0.145961686935385, 0.1458745205421233, 0.14579822407042764, 0.14573254421310464, 0.14567727676817394, 0.14563225984127778, 0.14559736827531661, 0.14557250920872863, 0.14555761868902364, 0.14555265928882316], [0.14959405090592101, 0.1496051389035804, 0.14963844834701254, 0.14969411726150073, 0.14977238133032594, 0.14987358257611916, 0.14999818197154144, 0.15014677647885127, 0.15032012122661684, 0.15051915779959613, 0.15074504997005933, 0.15099922867124399, 0.1512834486577524, 0.15159986018872063, 0.15195110031964937, 0.1523404101678299, 0.15277178708623351, 0.1532501844523983, 0.1537817774096038, 0.15437432146091148, 0.15503764410536394, 0.15578433078981763, 0.15663070073051361, 0.1575982254292741, 0.15871564133349936, 0.16002218381912267, 0.16157269513403816, 0.16344598893950316, 0.16575913746940049, 0.16869312240972903, 0.1725417304704418, 0.17781184531564362, 0.18544891594180607, 0.19740722144981954, 0.2183358388428199, 0.26173701521485188, 0.37910758015355717, 0.72917332772022625, 0.42175451031849814, 0.19303647576711838, 0.15086878158517786, 0.140738865981485, 0.13822502104740045, 0.13801880600134964, 0.13860139159681087, 0.1394575210571071, 0.1403943612918061, 0.14133703101269429, 0.14225770467824828, 0.14314834658939973, 0.14400940923028757, 0.14484489461357297, 0.145660119641534, 0.14646068379883959, 0.14725198484871851, 0.14803898281100825, 0.14882606865661804, 0.14961696579429415, 0.15041462648931495, 0.15122110231462604, 0.15203737709075524, 0.15286315730000466, 0.15369662135669043, 0.15453413708662414, 0.15536996740175132, 0.15619599784287294, 0.15700153572708136, 0.15777324676353016, 0.15849530672381534, 0.15914984640926283, 0.15971774993035553, 0.16017982287568155, 0.16051827762212717, 0.16071839714973038, 0.16077015741450029, 0.16066954074613835, 0.16041928553664891, 0.16002890103310566, 0.15951391482226773, 0.15889447530178225, 0.15819355413837846, 0.15743504859353125, 0.15664206153901325, 0.155835556248897, 0.15503347736664147, 0.15425033195407156, 0.15349715635619024, 0.15278176178387415, 0.15210914857143762, 0.15148199526029363, 0.15090115321500047, 0.15036610244702731, 0.14987534524959462, 0.14942672953538838, 0.14901770361988959, 0.14864550966174084, 0.14830732532358468, 0.14800036358431132, 0.14772193988567492, 0.14746951453041102, 0.14724071683848752, 0.14703335622224939, 0.14684542416013197, 0.14667509006606949, 0.14652069326435441, 0.14638073266615703, 0.14625385527645277, 0.14613884431044155, 0.14603460744137384, 0.14594016551546621, 0.14585464193690606, 0.14577725283304596, 0.14570729804620638, 0.14564415295600772, 0.145587261108828, 0.14553612761440912, 0.14549031326056089, 0.14544942929296328, 0.14541313280659415, 0.14538112269707271, 0.1453531361233911, 0.1453289454375134, 0.14530835554077151, 0.14529120163159576, 0.14527734731375294, 0.14526668303880061, 0.14525912486086592, 0.14525461348610977, 0.14525311360332704, 0.14525336004592909, 0.14525409967376246, 0.14525533338744798, 0.14525706268981453, 0.14525928968860086, 0.14526201710024578, 0.14526524825478648, 0.14526898710187627, 0.14527323821794269, 0.14527800681451294, 0.14528329874772994, 0.14528912052909324, 0.14529547933746328, 0.14530238303236098, 0.14530984016862197, 0.14531786001243963, 0.14532645255886534, 0.14533562855081722, 0.14534539949966965, 0.14535577770749195, 0.14536677629101369, 0.14537840920740952, 0.14539069128198512, 0.14540363823787256, 0.14541726672784025, 0.14543159436833555, 0.14544663977588618, 0.14546242260599695, 0.14547896359469337, 0.14549628460286576, 0.14551440866359244, 0.14553336003262524, 0.14555316424223946, 0.1455738481586675, 0.14559544004334851, 0.14561796961825388, 0.14564146813555998, 0.1456659684519703, 0.1456915051080066, 0.14571811441262797, 0.14574583453355219, 0.14577470559369829, 0.14580476977420087, 0.14583607142448893, 0.14586865717996392, 0.14590257608786555, 0.14593787974196373, 0.14597462242678175, 0.14601286127211682, 0.14605265641870924, 0.1460940711959903, 0.14613717231293707, 0.14618203006317271, 0.1462287185455689, 0.14627731590175569, 0.1463279045720885, 0.14638057157181703, 0.14643540878939759, 0.14649251330913152, 0.14655198776058667, 0.14661394069757533, 0.14667848700982805, 0.14674574837092808, 0.14681585372657457, 0.14688893982782678, 0.14696515181465941, 0.1470446438559907, 0.14712757985327807, 0.14721413421594656, 0.14730449271824844, 0.14739885344880191, 0.14749742786599485, 0.14760044197479816, 0.14770813764337989, 0.14782077408134475, 0.14793862950563361, 0.14806200302522374, 0.1481912167820463, 0.14832661839324587, 0.14846858374941646, 0.1486175202352121, 0.14877387045337126, 0.14893811655142772, 0.14911078527323599, 0.14929245388616685, 0.14948375717111093, 0.14968539570844569, 0.14989814575178562, 0.15012287105646349, 0.15036053712644692, 0.15061222846872552, 0.15087916960746836, 0.15116275082442712, 0.15146455987486829, 0.15178642130465492, 0.15213044549885116, 0.15249909027514527, 0.15289523876790156, 0.15332229863480729, 0.15378432941097106, 0.1542862073636147, 0.15483384080995777, 0.15543445408274262, 0.15609696599077996, 0.15683250004039664, 0.15765508098156408, 0.15858259891625368, 0.15963816413473342, 0.16085204313160287, 0.16226447668305677, 0.16392986656363365, 0.16592313808355694, 0.1683496551697925, 0.17136110813655461, 0.17518176993761458, 0.18015338934446345, 0.18681485151186941, 0.19604922106645634, 0.20936610012202095, 0.22946205535586689, 0.2613421217642547, 0.31439528634882519, 0.40470671218761889, 0.54807515408519714, 0.71395488339670798, 0.79752973468917809, 0.7847168861696161, 0.76692510933734714, 0.78471688616958746, 0.79752973468916988, 0.71395488339657409, 0.54807515408513308, 0.404706712187617, 0.31439528634871677, 0.26134212176428334, 0.22946205535587605, 0.20936610012203799, 0.19604922106646777, 0.1868148515118655, 0.18015338934445863, 0.17518176993761414, 0.17136110813655528, 0.168349655169792, 0.16592313808355852, 0.16392986656363207, 0.16226447668305374, 0.16085204313160342, 0.15963816413473456, 0.15858259891625348, 0.15765508098156458, 0.15683250004039626, 0.15609696599077985, 0.15543445408274262, 0.15483384080995727, 0.15428620736361512, 0.15378432941097089, 0.15332229863480726, 0.15289523876790215, 0.15249909027514499, 0.15213044549885116, 0.15178642130465517, 0.15146455987486851, 0.15116275082442709, 0.15087916960746811, 0.15061222846872541, 0.15036053712644701, 0.15012287105646341, 0.14989814575178595, 0.14968539570844588, 0.14948375717111068, 0.1492924538861671, 0.14911078527323601, 0.14893811655142747, 0.1487738704533712, 0.14861752023521221, 0.14846858374941657, 0.1483266183932459, 0.14819121678204653, 0.14806200302522388, 0.14793862950563327, 0.14782077408134456, 0.14770813764337995, 0.14760044197479821, 0.14749742786599465, 0.14739885344880208, 0.14730449271824844, 0.14721413421594626, 0.14712757985327785, 0.14704464385599042, 0.14696515181465947, 0.14688893982782675, 0.14681585372657485, 0.14674574837092805, 0.14667848700982822, 0.14661394069757525, 0.14655198776058656, 0.14649251330913135, 0.14643540878939781, 0.14638057157181697, 0.14632790457208833, 0.14627731590175572, 0.1462287185455691, 0.14618203006317299, 0.1461371723129371, 0.14609407119599027, 0.14605265641870918, 0.1460128612721166, 0.14597462242678177, 0.14593787974196398, 0.14590257608786544, 0.14586865717996378, 0.1458360714244889, 0.14580476977420093, 0.14577470559369834, 0.14574583453355225, 0.14571811441262786, 0.14569150510800638, 0.1456659684519703, 0.14564146813556003, 0.14561796961825382, 0.14559544004334837, 0.14557384815866753, 0.14555316424223963, 0.14553336003262535, 0.14551440866359228, 0.14549628460286568, 0.14547896359469312, 0.14546242260599693, 0.14544663977588623, 0.14543159436833564, 0.14541726672784014, 0.1454036382378725, 0.14539069128198503, 0.14537840920740944, 0.14536677629101391, 0.14535577770749186, 0.14534539949966988, 0.14533562855081744, 0.14532645255886534, 0.14531786001243954, 0.14530984016862203, 0.14530238303236132, 0.14529547933746315, 0.1452891205290934, 0.14528329874772988, 0.14527800681451292, 0.1452732382179428, 0.14526898710187619, 0.14526524825478651, 0.14526201710024583, 0.14525928968860075, 0.14525706268981464, 0.14525533338744809, 0.14525409967376263, 0.14525336004592909, 0.14525311360332677, 0.14525323681601596, 0.14525360650071917, 0.14525422279735622, 0.14525508593916267, 0.14525619625274655, 0.14525755415816702, 0.14525916016903118, 0.14526101489261559, 0.14526311903000841, 0.14526547337626874, 0.14526807882060871, 0.14527093634659111, 0.14527404703234845, 0.14527741205081374, 0.14528103266997075, 0.14528491025311668, 0.14528904625913847, 0.14529344224279811, 0.14529809985503167, 0.14530302084324981, 0.14530820705165126, 0.14531366042153368, 0.1453193829916079, 0.14532537689831196, 0.14533164437611851, 0.14533818775783738, 0.14534500947490428, 0.14535211205766108, 0.14535949813561277, 0.14536717043766612, 0.14537513179234207, 0.1453833851279577, 0.14539193347277224, 0.14540077995509212, 0.14540992780333262, 0.14541938034602353, 0.14542914101175919, 0.14543921332908061, 0.14544960092628703, 0.14546030753116662, 0.14547133697063472, 0.14548269317028109, 0.14549438015380278, 0.14550640204232537, 0.14551876305359226, 0.1455314675010177, 0.14554451979258759, 0.14555792442959611, 0.14557168600520504, 0.14558580920281089, 0.14560029879420741, 0.14561515963752167, 0.14563039667491418, 0.145646014930018, 0.14566201950510441, 0.14567841557795017, 0.14569520839839067, 0.14571240328453, 0.14573000561859401, 0.14574802084239452, 0.14576645445238393, 0.14578531199427272, 0.14580459905718132, 0.14582432126730138, 0.14584448428103136, 0.14586509377756199, 0.14588615545087394, 0.14590767500112123, 0.14592965812535891, 0.14595211050758944, 0.14597503780808543, 0.14599844565195547, 0.14602233961691818, 0.14604672522024592, 0.14607160790484186, 0.14609699302441359, 0.14612288582770988, 0.14614929144178093, 0.14617621485423196, 0.14620366089443473, 0.14623163421367052, 0.14626013926417281, 0.14628918027704532, 0.14631876123904222, 0.14634888586818187, 0.1463795575881984, 0.146410779501816, 0.14644255436285858, 0.14647488454720067, 0.14650777202259094, 0.14654121831737393, 0.14657522448816507, 0.14660979108653766, 0.1466449181247996, 0.14668060504096228, 0.14671685066300724, 0.14675365317260664, 0.146791010068447, 0.14682891812935345, 0.14686737337743833, 0.14690637104151871, 0.14694590552109976, 0.14698597035123859, 0.14702655816866267, 0.14706766067954161, 0.14710926862936771, 0.14715137177544868, 0.14719395886255443, 0.14723701760232305, 0.14728053465708124, 0.14732449562879049, 0.14736888505387663, 0.14741368640477606, 0.14745888209906505, 0.14750445351711453, 0.14755038102924706, 0.14759664403343828, 0.1476432210046415, 0.14769008955685953, 0.14773722651912349, 0.14778460802656224, 0.14783220962777358, 0.14788000640970494, 0.14792797314126405, 0.14797608443684945, 0.14802431494098237, 0.1480726395351542, 0.14812103356797138, 0.14826639831128807, 0.14841160385308652, 0.14855624024523509, 0.14870016330398908, 0.14884361565303431, 0.14898736722967976, 0.14913287407185397, 0.14928245458831291, 0.14943948438517746, 0.14960861475402226, 0.14979602687149382, 0.15000974454681845, 0.15026004438733956, 0.15056002605177102, 0.1509264416678163, 0.15138094194675453, 0.15195199553495276, 0.15267791455417534, 0.15361174887848969, 0.15482945752128868, 0.15644409860768521, 0.15863170187959716, 0.16168136950563147, 0.16609981985463454, 0.17285103939303084, 0.18397627131053268, 0.2044755763321007, 0.2493717760695183, 0.37711089488849137, 0.71119640512454663, 0.38785111402200895, 0.19436227811735171, 0.1508332759114247, 0.13752750949622153, 0.13244048738925318, 0.13018865673903601, 0.12906553162994885, 0.12842560666436462, 0.12799229712839783, 0.12763557950746254, 0.12728984416326544, 0.12692053145599505, 0.12651023895576913, 0.12605427558822754, 0.1255631578345158, 0.12507463131902818, 0.12468607172153137, 0.12464077064746171, 0.12557915171182052, 0.12938521304438372, 0.14271592913436768, 0.19701734058153794, 0.49133903249905364, 0.72461395345278745, 0.36295192870959692, 0.25019516566899946, 0.20766671788615335, 0.18690136752821787, 0.17495811804616432, 0.16730186517141393, 0.16200234780757622, 0.15811733741602249, 0.15513824169761295, 0.15276868328578419, 0.15082527254482322, 0.14918898407003947, 0.14777959308078245, 0.14654148126429326, 0.1454354506710252, 0.1444339426948171, 0.14351836674941446, 0.14267793295296644, 0.14190982299784929, 0.14122092734487976, 0.14063190593509359, 0.14018527384747012, 0.13996117066115046, 0.14010891576995607, 0.14091336176513855, 0.14294419938468095, 0.14742222216051676, 0.15722050244018534, 0.17998817423240657, 0.23935694885186951, 0.41379426315915441, 0.76469301162840964, 0.6648097194596656, 0.42332256875649427, 0.30929834448616045, 0.25474639745633743, 0.22499584035049033, 0.20691059326877922, 0.19498401198274698, 0.18662036362843432, 0.18047030400845362, 0.17577519738893149, 0.17208076162618363, 0.1691006302275733, 0.16664646400720698, 0.16458992082195362, 0.16284087885974097, 0.16133441332403217, 0.16002271116422856, 0.15886988561582646, 0.15784855433958281, 0.15693752370570338, 0.15612018605470046, 0.15538338782651237, 0.15471661551428201, 0.15411140039487123, 0.15356087655632436, 0.15305944809255095, 0.15260253520015349, 0.15218637808940941, 0.15180788380358232, 0.15146450527384039, 0.15115414487987325, 0.1508750768612605, 0.1506258844072367, 0.15040540832482557, 0.15021270496997488, 0.15004701170640533, 0.14990771858992663, 0.14979434530210106, 0.14970652260475989, 0.1496439777766877, 0.14960652364080154, 0.14959405090592101, 0.14960236513468664, 0.14962732055822031, 0.149668955760724, 0.14972733629521245, 0.14980255656816929, 0.14989474251009435, 0.15000405506586861, 0.15013069455124711, 0.15027490593641607, 0.15043698513497863, 0.15061728639773359, 0.15081623093613539, 0.15103431693144062, 0.15127213112366567, 0.15153036222136748, 0.15180981643108124, 0.15211143547698916, 0.15243631757057341, 0.15278574190165753, 0.15316119736256317, 0.1535644163945401, 0.15399741507136658, 0.1544625408239208, 0.15496252958189929, 0.15550057459197136, 0.15608040980317123, 0.1567064115420673, 0.15738372330437403, 0.15811840996773058, 0.15891764972633141, 0.15978997476831494, 0.16074557546027282, 0.16179668800779123, 0.16295809287568014, 0.16424776165084218, 0.1656877049962443, 0.16730509616150552, 0.1691337767607386, 0.17121629988559001, 0.17360673927266024, 0.17637460727111412, 0.17961040396402403, 0.18343360785401236, 0.18800438919282636, 0.19354111063463142, 0.20034700819745124, 0.20885173254423123, 0.21967740675473807, 0.23374574382897681, 0.2524542716288144, 0.2779665674803759, 0.3136744569110681, 0.36483804764650901, 0.43900469030633188, 0.54399684201610976, 0.67611336224455509, 0.79142452558202647, 0.80776411834071404, 0.71027664661634915, 0.5771069653801455, 0.46632054285054103, 0.38847753205966823, 0.33665627330640957, 0.30278794964337885, 0.28117001683699933, 0.26830193803753405, 0.26225454117868313, 0.26224112405952971, 0.26845822527573465, 0.28220161112610886, 0.30632902184465161, 0.34622893475473182, 0.41131793142782092, 0.51517300857815351, 0.66206364702117126, 0.79082197163924872, 0.76609927810053269, 0.60872162076563263, 0.45729518395506391, 0.35581922223887991, 0.29284938944535643, 0.25326091894862218, 0.22742989433413732, 0.20988392738647732, 0.19751557484096161, 0.18850856496687377, 0.18176211966245889, 0.17658458209911154, 0.17252656411336992, 0.16928712073298988, 0.1666591913677852, 0.16449683452054881, 0.16269495132269415, 0.16117638768716541, 0.15988352167509343, 0.15877264970309923, 0.15781016178834376, 0.15696988583785532, 0.15623121143205188, 0.15557774307970659, 0.15499631929475963, 0.15447628842253935, 0.15400896729114982, 0.15358723180241157, 0.15320520392753456, 0.15285800995836979, 0.15254159199238698, 0.15225255958634121, 0.15198807200430781, 0.15174574397307519, 0.15152356965004016, 0.15131986081367899, 0.15113319624635743, 0.15096237999181569, 0.1508064067035281, 0.15066443270361643, 0.15053575167941968, 0.15041977418088906, 0.15031601026453639, 0.15022405477178394, 0.15014357484083754, 0.15007429933879904, 0.1500160099699448, 0.149968533871078, 0.14993173754862768, 0.14990552204725185, 0.1498898192680321, 0.14988458937748747], [0.15429544884552424, 0.15430714466962417, 0.1543422815116158, 0.15440100930650441, 0.15448358410084873, 0.15459037753000429, 0.15472189059587299, 0.15487877230309632, 0.15506184394568859, 0.15527213013718491, 0.15551089807456725, 0.15577970706051997, 0.15608047103937062, 0.15641553791645674, 0.15678779085903083, 0.15720077881762856, 0.15765888646746973, 0.15816755813458602, 0.1587335968207973, 0.15936556945661007, 0.16007436514587042, 0.16087397813654652, 0.16178262814892025, 0.16282439957435249, 0.16403170076291218, 0.16544906011524579, 0.16713917950099483, 0.16919295776459067, 0.17174683632948085, 0.17501442903300532, 0.17934796085221244, 0.18536725333760012, 0.19425835236207595, 0.20855820066359732, 0.23459488309603102, 0.29199836702136278, 0.45981733117426532, 0.77573708150931131, 0.31867830575142092, 0.17888734992908484, 0.15085509419087065, 0.14380707016881064, 0.14220577100331228, 0.1423328007263257, 0.14305925494694879, 0.1439885905913397, 0.14496999634555513, 0.1459451875280843, 0.14689346642575535, 0.14781007938752269, 0.14869709487784105, 0.14955937510019862, 0.15040274430365527, 0.15123314278761968, 0.15205623097163087, 0.15287719495295643, 0.15370063288773919, 0.15453046069291781, 0.15536980382838603, 0.15622085606104114, 0.15708469407758788, 0.15796104273265671, 0.15884799205571146, 0.15974167557822277, 0.16063593124474401, 0.16152198162625875, 0.1623881886965427, 0.1632199575416646, 0.16399987799667651, 0.1647081956056316, 0.16532368416446705, 0.16582494356862584, 0.16619206729547525, 0.16640852391983793, 0.16646300114792004, 0.16635090350670198, 0.16607520810723808, 0.16564647964585796, 0.16508200782979809, 0.16440421093620153, 0.1636385912261541, 0.16281158932842629, 0.16194865567916877, 0.16107276043513016, 0.16020343949514607, 0.15935636225776773, 0.15854333042295321, 0.15777258238029154, 0.15704927715866357, 0.15637605250074876, 0.15575358078668178, 0.15518107529282923, 0.15465672283024745, 0.15417803563808735, 0.1537421259709616, 0.15334591245830453, 0.15298626953186903, 0.15266013131428785, 0.15236456030903847, 0.15209678968268447, 0.15185424628063837, 0.15163455998258313, 0.15143556367945726, 0.15125528706682209, 0.15109194658791247, 0.15094393319494193, 0.15080979909537431, 0.1506882442777607, 0.15057810334046864, 0.15047833295196897, 0.1503880001340287, 0.15030627146409761, 0.1502324032288947, 0.150165732519042, 0.15010566922815655, 0.15005168890438547, 0.15000332639455516, 0.14996017021841412, 0.14992185761117152, 0.14988807017541167, 0.14985853008764544, 0.14983299680967571, 0.14981126426019967, 0.14979315840739363, 0.14977853524848597, 0.14976727914741977, 0.14975930150660355, 0.14975453975344838, 0.14975295662688984, 0.14975321703606595, 0.14975399858152724, 0.14975530221764749, 0.14975712953696727, 0.14975948277308018, 0.14976236480468327, 0.14976577916081113, 0.14976973002726654, 0.14977422225427139, 0.14977926136536401, 0.14978485356757182, 0.14979100576289336, 0.14979772556113297, 0.14980502129412193, 0.14981290203139047, 0.149821377597328, 0.14983045858990462, 0.14984015640101025, 0.14985048323848993, 0.14986145214994856, 0.14987307704840966, 0.14988537273992839, 0.14989835495324849, 0.14991204037161937, 0.14992644666688903, 0.14994159253599953, 0.14995749774002423, 0.14997418314589389, 0.14999167077097722, 0.1500099838306839, 0.15002914678928417, 0.15004918541414544, 0.15007012683360713, 0.15009199959873254, 0.15011483374919415, 0.15013866088357389, 0.15016351423437979, 0.1501894287481074, 0.1502164411707001, 0.15024459013880032, 0.15027391627720721, 0.15030446230299913, 0.15033627313682146, 0.15036939602188212, 0.15040388065124735, 0.15043977930408933, 0.15047714699159384, 0.15051604161331056, 0.15055652412479822, 0.15059865871751199, 0.1506425130119696, 0.15068815826534396, 0.1507356695947546, 0.15078512621766477, 0.15083661171095544, 0.15089021429042018, 0.15094602711263444, 0.15100414860138697, 0.15106468280112867, 0.15112773976020913, 0.15119343594702986, 0.15126189470266244, 0.15133324673396037, 0.15140763065177409, 0.15148519355953616, 0.15156609169826774, 0.1516504911549959, 0.15173856864264879, 0.15183051236082262, 0.15192652294834824, 0.15202681454046515, 0.15213161594563426, 0.15224117195971856, 0.15235574483852593, 0.1524756159536447, 0.15260108766133471, 0.1527324854201037, 0.15287016019981586, 0.15301449123405114, 0.15316588917840049, 0.15332479975095581, 0.15349170794818487, 0.15366714295049488, 0.15385168385830955, 0.15404596643288909, 0.15425069105840888, 0.15446663219558529, 0.15469464966587843, 0.15493570219360764, 0.15519086374742838, 0.15546134337096801, 0.15574850938645288, 0.15605391911079458, 0.1563793555627665, 0.15672687309354069, 0.15709885448469116, 0.15749808289057712, 0.15792783314668937, 0.15839198855557574, 0.15889519149569839, 0.15944303937518861, 0.16004234202943179, 0.16070146334997795, 0.16143077985661433, 0.16224330389375186, 0.16315554211648231, 0.1641886959077018, 0.16537036786962181, 0.16673703255681979, 0.16833768722905515, 0.17023936988876362, 0.1725357136667014, 0.17536059012698146, 0.17891057353891204, 0.18348327877159817, 0.1895454762842107, 0.19785967016426662, 0.20973116448078061, 0.22751551759826111, 0.25570803818319604, 0.30330304145357972, 0.38818144368978508, 0.53748011086360914, 0.7336223972052105, 0.80092092525893666, 0.69430019366216611, 0.59160634683278401, 0.55669030250966456, 0.5916063468327365, 0.69430019366218065, 0.80092092525896907, 0.73362239720513567, 0.53748011086360525, 0.38818144368960716, 0.30330304145362946, 0.2557080381832087, 0.22751551759828403, 0.20973116448079504, 0.19785967016426151, 0.18954547628420526, 0.18348327877159781, 0.17891057353891276, 0.17536059012698094, 0.17253571366670331, 0.17023936988876187, 0.16833768722905162, 0.16673703255682043, 0.16537036786962311, 0.1641886959077016, 0.16315554211648281, 0.16224330389375138, 0.16143077985661411, 0.1607014633499779, 0.16004234202943121, 0.15944303937518906, 0.15889519149569814, 0.15839198855557571, 0.15792783314669007, 0.15749808289057687, 0.15709885448469113, 0.15672687309354097, 0.15637935556276672, 0.15605391911079455, 0.15574850938645254, 0.1554613433709679, 0.15519086374742846, 0.15493570219360756, 0.15469464966587873, 0.15446663219558551, 0.15425069105840861, 0.15404596643288934, 0.15385168385830955, 0.15366714295049458, 0.15349170794818476, 0.15332479975095586, 0.15316588917840057, 0.1530144912340512, 0.15287016019981606, 0.15273248542010387, 0.15260108766133434, 0.15247561595364448, 0.15235574483852604, 0.15224117195971856, 0.15213161594563407, 0.15202681454046527, 0.15192652294834827, 0.15183051236082237, 0.15173856864264854, 0.15165049115499563, 0.15156609169826779, 0.15148519355953613, 0.15140763065177434, 0.15133324673396037, 0.15126189470266252, 0.15119343594702986, 0.15112773976020896, 0.1510646828011285, 0.15100414860138717, 0.15094602711263444, 0.15089021429041999, 0.1508366117109555, 0.15078512621766496, 0.1507356695947549, 0.15068815826534401, 0.15064251301196957, 0.15059865871751199, 0.150556524124798, 0.15051604161331056, 0.15047714699159406, 0.15043977930408922, 0.15040388065124718, 0.15036939602188204, 0.15033627313682155, 0.15030446230299915, 0.15027391627720732, 0.15024459013880026, 0.15021644117069985, 0.15018942874810737, 0.15016351423437985, 0.15013866088357389, 0.15011483374919396, 0.15009199959873254, 0.15007012683360721, 0.15004918541414555, 0.150029146789284, 0.15000998383068384, 0.14999167077097694, 0.14997418314589384, 0.14995749774002431, 0.14994159253599962, 0.14992644666688887, 0.14991204037161932, 0.14989835495324833, 0.14988537273992825, 0.14987307704840988, 0.14986145214994839, 0.14985048323849018, 0.14984015640101039, 0.14983045858990462, 0.14982137759732794, 0.14981290203139061, 0.14980502129412229, 0.14979772556113286, 0.14979100576289359, 0.14978485356757179, 0.14977926136536404, 0.14977422225427142, 0.14976973002726648, 0.14976577916081107, 0.1497623648046833, 0.14975948277307999, 0.14975712953696735, 0.14975530221764755, 0.14975399858152744, 0.14975321703606603, 0.14975295662688948, 0.14975308682232991, 0.14975347745780559, 0.14975412868079452, 0.14975504073713164, 0.14975621397106986, 0.14975764882536391, 0.14975934584137446, 0.14976130565919837, 0.14976352901782072, 0.14976601675528631, 0.14976876980889431, 0.1497717892154109, 0.14977507611130428, 0.14977863173299261, 0.14978245741711324, 0.14978655460080495, 0.14979092482200573, 0.14979556971976052, 0.14980049103454299, 0.14980569060858115, 0.1498111703861956, 0.14981693241413688, 0.14982297884192664, 0.14982931192219878, 0.14983593401103532, 0.1498428475682973, 0.14985005515794206, 0.1498575594483324, 0.14986536321252295, 0.14987346932852635, 0.14988188077955519, 0.14989060065423079, 0.14989963214675667, 0.14990897855704952, 0.14991864329082583, 0.1499286298596306, 0.1499389418808097, 0.14994958307741105, 0.14996055727801388, 0.14997186841647439, 0.14998352053157571, 0.14999551776658337, 0.15000786436868355, 0.15002056468830449, 0.15003362317830227, 0.15004704439300456, 0.15006083298709763, 0.1500749937143416, 0.15008953142610335, 0.15010445106968903, 0.15011975768646449, 0.15013545640974127, 0.15015155246241613, 0.15016805115434134, 0.1501849578794098, 0.1502022781123305, 0.1502200174050784, 0.15023818138298645, 0.15025677574046831, 0.15027580623633613, 0.15029527868869302, 0.1503151989693717, 0.15033557299788849, 0.15035640673488904, 0.15037770617504642, 0.15039947733938919, 0.15042172626701769, 0.15044445900618275, 0.15046768160468432, 0.15049140009956138, 0.15051562050603098, 0.15054034880564249, 0.15056559093360894, 0.15059135276527763, 0.15061764010170167, 0.15064445865427464, 0.15067181402839441, 0.15069971170611468, 0.15072815702775416, 0.15075715517242763, 0.15078671113746997, 0.15081682971672358, 0.15084751547766378, 0.15087877273734834, 0.15091060553716509, 0.15094301761638076, 0.15097601238447886, 0.15100959289230054, 0.15104376180199597, 0.1510785213558222, 0.15111387334381515, 0.15114981907039673, 0.15118635931997951, 0.15122349432165413, 0.15126122371306894, 0.15129954650361552, 0.15133846103708604, 0.15137796495396319, 0.15141805515355125, 0.15145872775618921, 0.15149997806580198, 0.15154180053310895, 0.15158418871982113, 0.15162713526422447, 0.15167063184857196, 0.15171466916876641, 0.15175923690686755, 0.15180432370699498, 0.15184991715527044, 0.15189600376448825, 0.151942568964269, 0.15198959709749679, 0.15203707142391876, 0.15208497413182628, 0.1521332863588111, 0.15218198822262993, 0.15223105886328042, 0.15228047649742887, 0.15233021848637901, 0.15238026141881189, 0.15243058120954853, 0.15248115321562364, 0.1525319523709508, 0.15258295334087971, 0.15263413069791396, 0.15268545911985229, 0.15273691361155131, 0.15278846975147398, 0.15294351835875966, 0.15309872025995205, 0.15325370160261489, 0.15340837899958995, 0.15356308944116862, 0.15371874167674934, 0.15387698831283392, 0.15404041850563086, 0.15421277342373588, 0.15439919139180855, 0.15460649770130069, 0.1548435666662806, 0.15512180245164103, 0.15545581382108437, 0.15586440258946391, 0.15637205859625547, 0.15701127987599728, 0.15782626470447333, 0.15887895559121742, 0.16025928105525061, 0.16210326884497758, 0.16462682015604446, 0.16819294486620456, 0.17345699627315611, 0.18171464832754608, 0.19585587606766081, 0.22349396702043733, 0.28992374462100412, 0.49815673301299385, 0.6732593888406635, 0.27488798648571305, 0.17297868296547467, 0.14729524604815289, 0.13867244278011237, 0.13519936380998426, 0.1336142900040615, 0.13280251585284014, 0.13232063168117508, 0.1319719028791683, 0.13166142876038786, 0.13134027248273331, 0.13098208298067671, 0.13057324315521832, 0.13010990879479636, 0.12960043369558499, 0.12907546480009582, 0.12861439617309917, 0.1284141227754354, 0.12898299862564813, 0.13176601246911016, 0.14158780395705195, 0.17925577236241924, 0.37031114233901807, 0.81874857236278209, 0.43221380158826544, 0.27704628324965774, 0.22256555201208084, 0.19730894008432409, 0.18326268753844091, 0.17446322379430515, 0.16847337619838573, 0.16413795978621779, 0.16084702594052158, 0.15825112433032043, 0.15613688992858257, 0.15436727560051949, 0.15285061312051179, 0.15152362784075804, 0.15034169877910325, 0.14927314117723378, 0.14829590284647748, 0.14739588568948508, 0.14656658707997217, 0.14581013239545607, 0.14514020782132947, 0.14458811722118978, 0.1442145981555277, 0.14413312685628132, 0.14455778764481789, 0.14590766707174233, 0.14905290307021196, 0.15595413320904053, 0.17153815081488991, 0.21002693410108114, 0.31833099507778878, 0.61428310231607397, 0.78324141506774736, 0.51813057606055257, 0.35588514705420887, 0.28104503982283285, 0.24232417802718226, 0.21974455483356764, 0.20531161680109106, 0.19542736733084337, 0.18829159082874133, 0.18292283001045015, 0.17874782990396676, 0.17541252546836081, 0.17268796362852956, 0.1704203302505192, 0.16850291388691499, 0.16685962977592514, 0.16543494445080917, 0.16418749846445063, 0.16308594647080871, 0.16210617072800951, 0.16122937006163046, 0.16044072129260079, 0.15972842363772988, 0.15908300462295605, 0.15849680791047779, 0.15796360981768104, 0.15747832828918504, 0.15703679923710823, 0.15663560262445544, 0.15627192574049287, 0.15594345462255682, 0.15564828703627034, 0.15538486217262545, 0.15515190347726215, 0.15494837194266253, 0.15477342786780798, 0.15462639959090252, 0.15450675807680825, 0.15441409652551905, 0.15434811438568272, 0.15430860532547647, 0.15429544884552424, 0.15430421882070455, 0.15433054293160808, 0.1543744641427354, 0.1544360554280485, 0.15451542183881664, 0.15461270343578937, 0.15472807912506736, 0.15486177145142282, 0.15501405241978378, 0.15518525043584186, 0.15537575848115925, 0.15558604366788387, 0.15581665835451117, 0.15606825304876037, 0.15634159137870016, 0.15663756748141847, 0.15695722624341815, 0.15730178693291449, 0.15767267089751072, 0.15807153416909145, 0.15850030603177828, 0.15896123488255931, 0.15945694306664054, 0.15999049282661493, 0.16056546610141001, 0.16118606169655458, 0.16185721438954934, 0.16258474192847197, 0.16337552776399319, 0.16423774991895884, 0.16518116992712017, 0.16621750067611063, 0.1673608788814151, 0.1686284777175337, 0.17004130924048325, 0.17162528681589667, 0.17341264821321131, 0.17544388574794134, 0.1777703996182996, 0.18045819885573147, 0.18359314540426971, 0.18728851241125807, 0.19169608058684176, 0.19702275588135926, 0.20355599183761608, 0.21170356923792127, 0.22205730855718453, 0.23549746707812533, 0.25336716720010038, 0.27776665189295635, 0.3120412883440849, 0.36151635853630715, 0.43419455282135999, 0.53931523460191466, 0.67542105592816271, 0.79587101206045063, 0.8047717274148366, 0.68822497219679768, 0.54247487967136376, 0.42870956655305753, 0.35224981811803702, 0.30265098745863922, 0.27045078090777797, 0.24947785783950777, 0.2360278021125703, 0.22795425723251059, 0.22409481992194089, 0.22397036786708421, 0.22767818789342806, 0.23595244402855667, 0.25043309722310991, 0.27428255969687926, 0.31344026021719995, 0.37884368064065288, 0.48811237958790626, 0.65145776408630574, 0.79538780923692298, 0.75314053968673633, 0.57965253847413878, 0.43197345182932556, 0.33901123732192184, 0.28283615995692679, 0.2478289279128047, 0.22499880337625325, 0.20943952828984894, 0.19841592885958298, 0.19034170319073554, 0.18425767628253878, 0.17956077937948739, 0.17585828422430211, 0.17288634428736771, 0.17046275056220095, 0.16845857089262953, 0.16678058251301056, 0.16536007697041527, 0.16414554069059203, 0.16309775728658102, 0.16218646080951793, 0.16138800475971812, 0.16068371008308496, 0.16005867559308676, 0.15950090876680548, 0.15900068201783574, 0.15855004997234079, 0.15814248325675048, 0.1577725876486078, 0.15743588648978343, 0.1571286504848475, 0.15684776334605358, 0.15659061480918368, 0.15635501473232072, 0.15613912356993506, 0.15594139566827159, 0.15576053267866077, 0.1555954450185727, 0.15544521978591064, 0.15530909389244224, 0.15518643145756725, 0.15507670471548912, 0.15497947785304672, 0.15489439332347824, 0.15482116028176857, 0.15475954486625312, 0.15470936211370998, 0.1546704693448, 0.15464276089637397, 0.15462616410907376, 0.15462063650464433], [0.1595489986866061, 0.15956136295859508, 0.15959850944430781, 0.15966060114794389, 0.1597479164694223, 0.15986085956712484, 0.15999997543481626, 0.16016597031648558, 0.16035973834562506, 0.16058239563435983, 0.16083532348618482, 0.16112022301099269, 0.16143918425115059, 0.16179477408351514, 0.1621901487962267, 0.16262919958291347, 0.16311674261163689, 0.16365877038384305, 0.16426278872578248, 0.16493827548216064, 0.1656973154005853, 0.1665554953087692, 0.16753319254668692, 0.16865747259041075, 0.16996495733887496, 0.17150629028353406, 0.17335332682562291, 0.17561117658530406, 0.17843932398923007, 0.18209076477882749, 0.18698952441890035, 0.19389739221923566, 0.20431200671802349, 0.22155558085114055, 0.25434363961396289, 0.33157174105528453, 0.56797713901224522, 0.67245428800028118, 0.25886016849131471, 0.17168441394085368, 0.15258019106693921, 0.1477033833214984, 0.14679706067107171, 0.14719538893891804, 0.14804751168839048, 0.14904608266691774, 0.15007314026350346, 0.15108380950888708, 0.15206333375212977, 0.15300978881363805, 0.1539266951137781, 0.15481972992426363, 0.15569523013931363, 0.15655950378133235, 0.15741850999991153, 0.15827770073565503, 0.1591419222810708, 0.16001532384639816, 0.16090124362077485, 0.16180205453290072, 0.1627189586514102, 0.16365172454243698, 0.16459836822204177, 0.16555478731202172, 0.16651437091277529, 0.16746762517286284, 0.16840187594281653, 0.16930113252496562, 0.17014621467066413, 0.17091524965443378, 0.17158462637094515, 0.17213043920947771, 0.17253036346630085, 0.17276578760930497, 0.17282391435081673, 0.17269947322157492, 0.17239570081657943, 0.17192435704439604, 0.17130473524998918, 0.17056183521936807, 0.16972403285789578, 0.16882064913546649, 0.16787978321958588, 0.16692665893716147, 0.16598258855758435, 0.16506452905117797, 0.16418512050693224, 0.16335305979008169, 0.16257366505150159, 0.16184951258094557, 0.16118106204691052, 0.16056721927275747, 0.16000581220782398, 0.15949397426628428, 0.15902844050995563, 0.15860576792704012, 0.15822249308551278, 0.15787524020558485, 0.15756079128539718, 0.15727612803861873, 0.15701845348210169, 0.15678519926467352, 0.15657402334510098, 0.15638280142516719, 0.15620961460138769, 0.15605273497875305, 0.15591061045110613, 0.15578184945679685, 0.15566520623216784, 0.15555956688206721, 0.15546393644461759, 0.15537742703037699, 0.15529924705134521, 0.15522869151368376, 0.15516513332269277, 0.15510801553453771, 0.15505684448286258, 0.15501118370717232, 0.15497064861194867, 0.15493490178958685, 0.15490364894555278, 0.15487663537007487, 0.15485364290682846, 0.15483448737517438, 0.15481901640847354, 0.15480710767670725, 0.15479866746708215, 0.15479362960149012, 0.15479195467464524, 0.15479223039430837, 0.15479305789081485, 0.15479443817733174, 0.15479637294452334, 0.15479886456363987, 0.15480191609085378, 0.15480553127286167, 0.15480971455376885, 0.15481447108327942, 0.15481980672622284, 0.15482572807344555, 0.15483224245410715, 0.15483935794942577, 0.15484708340791056, 0.15485542846215092, 0.15486440354720205, 0.15487401992064775, 0.15488428968439946, 0.15489522580831838, 0.15490684215573947, 0.15491915351098939, 0.15493217560900732, 0.15494592516716535, 0.15496041991941645, 0.15497567865289397, 0.15499172124710256, 0.15500856871585017, 0.15502624325208314, 0.15504476827580449, 0.15506416848525811, 0.15508446991159194, 0.15510569997721885, 0.15512788755811688, 0.15515106305033144, 0.15517525844095845, 0.15520050738392036, 0.15522684528086234, 0.15525430936753251, 0.1552829388060345, 0.1553127747833839, 0.15534386061682651, 0.15537624186642573, 0.15540996645546989, 0.15544508479930028, 0.15548164994321637, 0.15551971771018019, 0.15555934685910411, 0.15560059925459524, 0.15564354004910042, 0.15568823787850922, 0.15573476507237108, 0.15578319788000633, 0.15583361671393473, 0.15588610641219611, 0.15594075652132419, 0.15599766160192882, 0.15605692155908368, 0.1561186419999791, 0.15618293462160374, 0.1562499176315815, 0.15631971620569202, 0.15639246298608633, 0.1564682986247545, 0.15654737237746386, 0.15662984275413905, 0.15671587823254818, 0.1568056580432339, 0.15689937303485668, 0.15699722663063956, 0.1570994358883547, 0.1572062326784478, 0.15731786499744249, 0.15743459843686089, 0.15755671783164227, 0.15768452911656247, 0.15781836142470967, 0.15795856946882364, 0.15810553625461385, 0.15825967618540879, 0.15842143863014047, 0.158591312042377, 0.15876982873771403, 0.15895757046134279, 0.15915517490844425, 0.15936334339897862, 0.15958284995783112, 0.15981455211424406, 0.16005940381519362, 0.16031847095140331, 0.16059295012958, 0.16088419150047809, 0.16119372668355345, 0.16152330313485716, 0.16187492671258397, 0.16225091474291942, 0.1626539626323881, 0.16308722809118315, 0.16355443844079737, 0.16406002845032006, 0.16460931893637168, 0.16520875036394264, 0.16586619150556356, 0.16659135180794818, 0.1673963390056068, 0.16829642320301094, 0.16931109927806867, 0.17046558812991405, 0.17179299639927031, 0.17333748609192304, 0.17515903121167703, 0.17734073671857517, 0.18000042155807694, 0.18330954254524634, 0.18752524765419731, 0.19304694410982801, 0.20052091033695826, 0.21104428100289502, 0.22658688491365866, 0.25091850147914357, 0.29174847779039165, 0.36553589453841284, 0.50388554300636279, 0.71703747811376395, 0.80143559504734674, 0.63279201158844878, 0.47516989716667873, 0.39763596337400908, 0.37546442174387828, 0.39763596337397822, 0.4751698971667041, 0.63279201158862874, 0.80143559504736839, 0.71703747811375862, 0.50388554300608002, 0.36553589453848828, 0.29174847779041335, 0.25091850147917488, 0.22658688491367812, 0.2110442810028885, 0.20052091033695191, 0.19304694410982734, 0.18752524765419812, 0.18330954254524567, 0.1800004215580791, 0.17734073671857314, 0.17515903121167312, 0.17333748609192373, 0.17179299639927165, 0.17046558812991394, 0.16931109927806923, 0.16829642320301047, 0.16739633900560658, 0.16659135180794818, 0.16586619150556298, 0.16520875036394311, 0.1646093189363714, 0.16406002845031997, 0.16355443844079803, 0.16308722809118278, 0.16265396263238813, 0.16225091474291978, 0.16187492671258422, 0.16152330313485713, 0.16119372668355311, 0.16088419150047795, 0.16059295012958019, 0.16031847095140314, 0.16005940381519398, 0.15981455211424431, 0.15958284995783084, 0.1593633433989789, 0.1591551749084443, 0.15895757046134246, 0.15876982873771389, 0.15859131204237717, 0.15842143863014058, 0.15825967618540882, 0.15810553625461413, 0.15795856946882381, 0.15781836142470934, 0.15768452911656225, 0.15755671783164232, 0.15743459843686086, 0.1573178649974423, 0.15720623267844797, 0.15709943588835473, 0.15699722663063928, 0.1568993730348564, 0.15680565804323357, 0.15671587823254823, 0.15662984275413899, 0.15654737237746411, 0.1564682986247545, 0.15639246298608644, 0.15631971620569196, 0.15624991763158136, 0.15618293462160357, 0.15611864199997932, 0.15605692155908368, 0.15599766160192857, 0.1559407565213243, 0.15588610641219633, 0.15583361671393506, 0.15578319788000633, 0.15573476507237108, 0.15568823787850913, 0.15564354004910014, 0.15560059925459524, 0.15555934685910439, 0.15551971771018006, 0.15548164994321631, 0.15544508479930022, 0.15540996645546995, 0.15537624186642585, 0.15534386061682662, 0.15531277478338379, 0.15528293880603428, 0.15525430936753254, 0.15522684528086236, 0.15520050738392036, 0.15517525844095825, 0.15515106305033141, 0.1551278875581171, 0.15510569997721893, 0.15508446991159178, 0.15506416848525803, 0.15504476827580421, 0.15502624325208308, 0.15500856871585023, 0.15499172124710267, 0.1549756786528938, 0.15496041991941634, 0.15494592516716524, 0.15493217560900724, 0.15491915351098975, 0.15490684215573933, 0.1548952258083186, 0.1548842896843996, 0.15487401992064775, 0.15486440354720202, 0.154855428462151, 0.15484708340791092, 0.15483935794942569, 0.15483224245410743, 0.15482572807344558, 0.15481980672622281, 0.1548144710832795, 0.15480971455376877, 0.15480553127286167, 0.15480191609085384, 0.15479886456363973, 0.15479637294452339, 0.15479443817733191, 0.15479305789081504, 0.15479223039430845, 0.1547919546746449, 0.15479209252474208, 0.15479250612693762, 0.15479319563695856, 0.15479416131439114, 0.15479540352274593, 0.15479692272954801, 0.15479871950644802, 0.15480079452936238, 0.15480314857863578, 0.1548057825392252, 0.15480869740090866, 0.15481189425851363, 0.15481537431216888, 0.15481913886757115, 0.15482318933627429, 0.15482752723599269, 0.15483215419092175, 0.15483707193206919, 0.15484228229760227, 0.15484778723319861, 0.15485358879241207, 0.15485968913703754, 0.1548660905374806, 0.15487279537312823, 0.15487980613271418, 0.15488712541467983, 0.15489475592752228, 0.15490270049013369, 0.15491096203211799, 0.15491954359408741, 0.1549284483279339, 0.15493767949706702, 0.15494724047661579, 0.15495713475358613, 0.15496736592697391, 0.15497793770781718, 0.15498885391919062, 0.15500011849612691, 0.15501173548546332, 0.15502370904560095, 0.15503604344616687, 0.15504874306757629, 0.15506181240047415, 0.15507525604505554, 0.15508907871024427, 0.15510328521272573, 0.15511788047581487, 0.15513286952814737, 0.15514825750218023, 0.15516404963248442, 0.1551802512538166, 0.15519686779894748, 0.15521390479623304, 0.15523136786690667, 0.15524926272207348, 0.15526759515938268, 0.15528637105936119, 0.15530559638137523, 0.15532527715920619, 0.15534541949620645, 0.15536602956001141, 0.1553871135767797, 0.15540867782492895, 0.15543072862834181, 0.15545327234900336, 0.15547631537904358, 0.15549986413214514, 0.15552392503428655, 0.1555485045137778, 0.15557360899056022, 0.15559924486472373, 0.15562541850420988, 0.15565213623165836, 0.1556794043103599, 0.15570722892927499, 0.15573561618707943, 0.15576457207520325, 0.15579410245981767, 0.15582421306274324, 0.15585490944123817, 0.15588619696664205, 0.15591808080184216, 0.1559505658775375, 0.1559836568672886, 0.15601735816132573, 0.15605167383912186, 0.15608660764071772, 0.15612216293681747, 0.15615834269766249, 0.15619514946072582, 0.15623258529725625, 0.15627065177773997, 0.15630934993634812, 0.15634868023446111, 0.15638864252338899, 0.15642923600641034, 0.15647045920030642, 0.15651230989656353, 0.15655478512246768, 0.15659788110234557, 0.15664159321922846, 0.1566859159772766, 0.15673084296531734, 0.15677636682192025, 0.15682247920245737, 0.15686917074866125, 0.15691643106124648, 0.15696424867620215, 0.15701261104543585, 0.15706150452250284, 0.15711091435421687, 0.1571608246789947, 0.15721121853286293, 0.15726207786410323, 0.15731338355758823, 0.15736511546990342, 0.15741725247642541, 0.15746977253156452, 0.1575226527434373, 0.15757586946427032, 0.15762939839787163, 0.15768321472553484, 0.15773729325174499, 0.15779160857107197, 0.15784613525760915, 0.15790084807831295, 0.15795572223153287, 0.15801073361199233, 0.15817636685628833, 0.15834250139377506, 0.15850880599220957, 0.15867526788806102, 0.15884233268602313, 0.15901106802554632, 0.15918335078125773, 0.15936207849422621, 0.15955140854136021, 0.15975703413165848, 0.15998651565838917, 0.16024970072504346, 0.1605592886936282, 0.16093163021232001, 0.16138790716664347, 0.16195593010446427, 0.16267295075656948, 0.16359018305224982, 0.1647802982994466, 0.16635032656899076, 0.16846491742831973, 0.17139075204804249, 0.17558759173979357, 0.181912374705366, 0.19213216733968386, 0.21042224030182619, 0.24871088262823551, 0.35086642535488066, 0.65860199936944241, 0.47792647428167506, 0.21892767484769859, 0.16285161420852509, 0.14693199288575812, 0.14119548542639448, 0.13879913111924178, 0.13768310382349824, 0.13709838598218624, 0.13673441608809006, 0.13644938306575663, 0.13617337700598997, 0.1358696181774097, 0.13551782221772957, 0.13510714062379992, 0.1346342117967762, 0.13410544684082285, 0.13354554935341117, 0.13301929129611414, 0.13268688037556581, 0.13295578072822045, 0.13495100483902567, 0.14224990304646404, 0.16910138408691439, 0.29408124608142, 0.78837723454546771, 0.52373316086877542, 0.31090914810851544, 0.24027604127206725, 0.20929163327934405, 0.19267063087245631, 0.18250969956622656, 0.17571342627127876, 0.17085909768766203, 0.16721255284534076, 0.16436053144488255, 0.1620541756914482, 0.16013537399197489, 0.15849924323079381, 0.15707378304956354, 0.155808298161178, 0.1546666008768621, 0.15362300947437524, 0.15266014650399939, 0.15176809058357019, 0.15094481661322126, 0.15019824138208562, 0.14955075107130519, 0.14904812922718189, 0.14877700652473214, 0.14890001577018758, 0.14973040030027171, 0.15190177157156842, 0.15678998055344825, 0.16768331991178373, 0.19348722619115299, 0.2620535647291895, 0.46188892948215904, 0.79271823014937182, 0.63828605410966199, 0.41841099288108824, 0.31451092866484753, 0.26336596061976886, 0.2348411115775336, 0.21721643577731875, 0.20545219441181645, 0.19712535703430975, 0.19095709179254028, 0.18621980683427103, 0.1824736422952706, 0.1794391608314547, 0.17693139362937518, 0.17482361329556753, 0.17302642540649577, 0.17147517993266601, 0.17012211019627188, 0.16893126544908865, 0.16787515179351431, 0.16693244977809996, 0.16608642895870437, 0.16532382452446318, 0.16463402688672052, 0.16400848737531198, 0.16344027579766773, 0.16292374643387827, 0.1624542826055323, 0.16202809896289727, 0.16164208672032807, 0.16129369124808482, 0.16098081434100431, 0.16070173554298803, 0.16045504838029251, 0.16023960842513388, 0.16005449089430246, 0.15989895606756718, 0.1597724212444776, 0.15967443828560557, 0.15960467603400086, 0.15956290710533871, 0.1595489986866061, 0.15955826986252497, 0.15958609916710728, 0.15963253437942329, 0.15969765663245578, 0.15978158268592935, 0.15988446815134413, 0.16000651171481625, 0.16014796041997995, 0.16030911609287116, 0.16049034301419249, 0.16069207697273458, 0.16091483586833691, 0.16115923207516256, 0.1614259868282891, 0.16171594696125646, 0.1620301044025185, 0.16236961893913562, 0.16273584488194745, 0.163130362425502, 0.16355501469787287, 0.16401195175338038, 0.16450368309292709, 0.16503314072611208, 0.16560375534959176, 0.16621954895255045, 0.16688524813595332, 0.16760642373619591, 0.16838966410158721, 0.16924279176211193, 0.17017513652004271, 0.17119788255344126, 0.1723245135331736, 0.17357138885782766, 0.17495849720571988, 0.1765104526907883, 0.1782578271295514, 0.18023895428630446, 0.18250240658589711, 0.18511044508738983, 0.18814390209991141, 0.19170921153040721, 0.19594872300087526, 0.20105614392453919, 0.20730017175843965, 0.21506151976228641, 0.22489237715085764, 0.23761431210913742, 0.25448323527001782, 0.27747183308003892, 0.3097510224408212, 0.35645957962746172, 0.42561291568503529, 0.52742657923475955, 0.66387545615636379, 0.79178148576877561, 0.80530485464050849, 0.68035178684988262, 0.52541823878777461, 0.40830397938194746, 0.33198470688643944, 0.28357660854281919, 0.25252075083051317, 0.23225032261883774, 0.2189147469501572, 0.21027339970218567, 0.20503350092085146, 0.20249044754019699, 0.20234841853987084, 0.20465655710688091, 0.20984096520045786, 0.21885401749315372, 0.23352158746420007, 0.25728231743325164, 0.29673207714074112, 0.36457961827794921, 0.48253036250332915, 0.66290797647124045, 0.80377576123711769, 0.72246457747865278, 0.53914542766255835, 0.40348144847641643, 0.32221450341601321, 0.27372300478490108, 0.2434605542963883, 0.22359433614923371, 0.20994261012706583, 0.20018725757260719, 0.19298229996528377, 0.18751047357481296, 0.18325510383057095, 0.17987769864775807, 0.17714945784427985, 0.17491142645388158, 0.17305047716240532, 0.1714843652690157, 0.17015215941712886, 0.16900795504912727, 0.16801664783334447, 0.16715103205234286, 0.16638977049084944, 0.16571594935075021, 0.16511603325219415, 0.16457909853424302, 0.16409626318211112, 0.16366025768271744, 0.16326509823160051, 0.16290583518738547, 0.16257835747680152, 0.1622792390416514, 0.16200561718817205, 0.16175509536876362, 0.16152566483921352, 0.16131564102094109, 0.16112361141314299, 0.16094839265075858, 0.16078899486505455, 0.16064459192624725, 0.16051449646875893, 0.16039813884569898, 0.16029504934895508, 0.16020484317865416, 0.16012720776085806, 0.16006189210266356, 0.16000869794510755, 0.15996747253061047, 0.15993810284655313, 0.15992051124255777, 0.15991465234824728], [0.16500755487425639, 0.1650206281993436, 0.16505990651667199, 0.16512556703294784, 0.16521791244628825, 0.16533738228183673, 0.16548456939731351, 0.16566024235606128, 0.16586537466028067, 0.16610118221881864, 0.16636917093024398, 0.16667119694728633, 0.16700954313219391, 0.16738701653124555, 0.16780707356731858, 0.16827398234357849, 0.1687930353936386, 0.16937083208057344, 0.1700156587400653, 0.1707380084134564, 0.17155130374674477, 0.17247292180822668, 0.17352567805818148, 0.17474002686001788, 0.17615741327269321, 0.17783553698909885, 0.17985691538692256, 0.18234339582501297, 0.1854819674523851, 0.18957340206284609, 0.19513059873563485, 0.203095604097668, 0.21537497442748912, 0.2363675832254403, 0.27825459244955808, 0.38403741760296506, 0.69250267071225879, 0.51382673001795709, 0.22459591913909976, 0.16855454075111803, 0.15534881600395573, 0.15204584041024721, 0.151675980935639, 0.15229450947121792, 0.15325375653840589, 0.15431452564652254, 0.15538477470009199, 0.15643047361051335, 0.15744177152329014, 0.15841912972460034, 0.15936732424417507, 0.16029276226243661, 0.16120226144984265, 0.16210249304902632, 0.16299972564906534, 0.16389969698616424, 0.16480752753571443, 0.16572763001284432, 0.16666358815908189, 0.16761798780311163, 0.16859218882273058, 0.16958603152020021, 0.17059747725734387, 0.17162219276023169, 0.17265310174974655, 0.17367994730112327, 0.17468893305553906, 0.17566253818118482, 0.17657962339499994, 0.1774159529995688, 0.17814523753634287, 0.17874074123885358, 0.17917739409793029, 0.17943421243753577, 0.17949669763365833, 0.17935879876642494, 0.17902403827801847, 0.17850552997423028, 0.17782484096892129, 0.17700989674406428, 0.17609232015438725, 0.17510467230680557, 0.17407801468607562, 0.1730400730216449, 0.17201411292413826, 0.17101848898135516, 0.17006673336656869, 0.16916801186982852, 0.16832778188804023, 0.16754851921584377, 0.16683042136013893, 0.16617203318066695, 0.16557077045432547, 0.16502333728139079, 0.16452604529053064, 0.16407504844628001, 0.16366650901338231, 0.16329670958655026, 0.1629621242595207, 0.16265945975495535, 0.16238567510887172, 0.16213798651931902, 0.1619138623108291, 0.16171101163882395, 0.16152736952873784, 0.16136108006565858, 0.16121047897291269, 0.16107407639754956, 0.16095054041974455, 0.16083868159136688, 0.16073743866279405, 0.1606458655584172, 0.1605631195966932, 0.1604884509100428, 0.16042119299608565, 0.16036075431938532, 0.16030661087828046, 0.16025829965181962, 0.16021541284547522, 0.16017759285986191, 0.16014452791327538, 0.16011594825591371, 0.16009162292078391, 0.16007135696327429, 0.16005498914810293, 0.16004239004874199, 0.16003346053046508, 0.16002813059390145, 0.16002635856142133, 0.16002665047067308, 0.16002752655671568, 0.16002898789507025, 0.16003103628046844, 0.16003367423015846, 0.16003690498854556, 0.16004073253318835, 0.16004516158216744, 0.16005019760285269, 0.16005584682210183, 0.16006211623792138, 0.16006901363263273, 0.16007654758759154, 0.16008472749950237, 0.1600935635984021, 0.1601030669673571, 0.1601132495639605, 0.16012412424369393, 0.16013570478524822, 0.16014800591788775, 0.1601610433509591, 0.16017483380566241, 0.16018939504918978, 0.16020474593137041, 0.1602209064239572, 0.16023789766270685, 0.16025574199241699, 0.16027446301509646, 0.16029408564146477, 0.16031463614598096, 0.16033614222563439, 0.16035863306273546, 0.16038213939197207, 0.16040669357201809, 0.16043232966199991, 0.16045908350316326, 0.16048699280609879, 0.16051609724392757, 0.16054643855187095, 0.16057806063368241, 0.16061100967544417, 0.16064533426728836, 0.16068108553365129, 0.16071831727272412, 0.16075708610582667, 0.16079745163750364, 0.16083947662721371, 0.16088322717357922, 0.160928772912248, 0.16097618722854198, 0.16102554748618123, 0.16107693527351197, 0.16113043666882723, 0.16118614252654134, 0.16124414878619017, 0.16130455680644787, 0.16136747372662785, 0.16143301285842798, 0.16150129411103353, 0.16157244445309477, 0.16164659841555992, 0.16172389863989006, 0.16180449647680598, 0.16188855264146884, 0.16197623793185628, 0.16206773401811447, 0.16216323431189142, 0.16226294492606291, 0.16236708573699996, 0.16247589156353043, 0.16258961347921444, 0.16270852027746996, 0.16283290011263157, 0.16296306234432051, 0.16309933961769954, 0.1632420902185639, 0.16339170074999076, 0.16354858918684118, 0.16371320837621328, 0.16388605006656626, 0.16406764956640149, 0.16425859115610864, 0.16445951440503562, 0.16467112158171943, 0.16489418639060519, 0.16512956432632758, 0.16537820501044997, 0.16564116697047845, 0.16591963544369134, 0.16621494394800818, 0.16652860057128346, 0.16686232020624009, 0.16721806432488515, 0.16759809037738643, 0.16800501356417985, 0.16844188463553983, 0.16891228862052313, 0.1694204711250574, 0.16997150128804692, 0.17057148397936336, 0.17122783887944656, 0.1719496715019172, 0.1727482722896794, 0.17363779671063101, 0.17463620524493803, 0.17576658312588103, 0.17705902579659377, 0.17855338532908141, 0.18030335865983965, 0.18238272325227878, 0.18489511309985862, 0.18798982992520524, 0.19188833889926304, 0.19693050951471316, 0.20365917330002439, 0.21298328505723887, 0.22651270303451285, 0.24729359188721178, 0.28153752096075041, 0.34283414894269953, 0.46076954938710685, 0.67059346233725681, 0.81337646830991539, 0.62785752879957191, 0.43022531818868265, 0.33188109461623683, 0.28975669610275312, 0.27801261898954549, 0.28975669610273108, 0.33188109461624765, 0.4302253181888171, 0.62785752879968526, 0.81337646830989696, 0.67059346233687867, 0.46076954938722897, 0.34283414894273079, 0.28153752096079632, 0.2472935918872381, 0.22651270303450477, 0.21298328505723046, 0.2036591733000237, 0.19693050951471422, 0.1918883388992621, 0.18798982992520774, 0.18489511309985629, 0.18238272325227448, 0.18030335865984035, 0.17855338532908296, 0.17705902579659358, 0.1757665831258817, 0.17463620524493756, 0.17363779671063084, 0.17274827228967937, 0.17194967150191656, 0.17122783887944701, 0.17057148397936309, 0.16997150128804689, 0.16942047112505818, 0.16891228862052277, 0.16844188463553983, 0.16800501356418027, 0.16759809037738674, 0.16721806432488515, 0.16686232020623976, 0.16652860057128338, 0.16621494394800837, 0.16591963544369123, 0.16564116697047879, 0.16537820501045022, 0.1651295643263273, 0.16489418639060546, 0.16467112158171948, 0.16445951440503534, 0.16425859115610855, 0.16406764956640163, 0.1638860500665664, 0.16371320837621336, 0.16354858918684148, 0.16339170074999093, 0.16324209021856356, 0.16309933961769935, 0.16296306234432062, 0.1628329001126316, 0.16270852027746979, 0.16258961347921461, 0.1624758915635304, 0.16236708573699959, 0.16226294492606264, 0.16216323431189103, 0.16206773401811456, 0.16197623793185625, 0.16188855264146909, 0.16180449647680595, 0.16172389863989023, 0.16164659841555989, 0.16157244445309465, 0.16150129411103339, 0.1614330128584282, 0.16136747372662788, 0.1613045568064477, 0.16124414878619017, 0.16118614252654159, 0.16113043666882751, 0.16107693527351194, 0.1610255474861812, 0.16097618722854196, 0.1609287729122478, 0.16088322717357925, 0.16083947662721401, 0.16079745163750353, 0.16075708610582654, 0.16071831727272406, 0.16068108553365137, 0.16064533426728839, 0.16061100967544423, 0.1605780606336823, 0.16054643855187073, 0.16051609724392757, 0.16048699280609885, 0.16045908350316321, 0.16043232966199977, 0.16040669357201809, 0.16038213939197229, 0.16035863306273554, 0.16033614222563414, 0.16031463614598085, 0.16029408564146447, 0.16027446301509646, 0.1602557419924171, 0.16023789766270696, 0.16022090642395706, 0.16020474593137032, 0.16018939504918964, 0.16017483380566228, 0.16016104335095929, 0.16014800591788761, 0.16013570478524855, 0.16012412424369415, 0.1601132495639605, 0.16010306696735707, 0.16009356359840218, 0.16008472749950275, 0.16007654758759141, 0.16006901363263298, 0.16006211623792133, 0.1600558468221018, 0.16005019760285277, 0.16004516158216739, 0.1600407325331884, 0.16003690498854567, 0.1600336742301583, 0.1600310362804685, 0.16002898789507039, 0.16002752655671582, 0.16002665047067319, 0.160026358561421, 0.16002650450568964, 0.16002694239330822, 0.16002767238873011, 0.16002869476608877, 0.16003000990926738, 0.16003161831199511, 0.16003352057796666, 0.16003571742099248, 0.16003820966517271, 0.16004099824509493, 0.16004408420605817, 0.16004746870431791, 0.16005115300735653, 0.16005513849417002, 0.16005942665557854, 0.16006401909455331, 0.16006891752656077, 0.16007412377992059, 0.16007963979617906, 0.16008546763048856, 0.16009160945200251, 0.16009806754427053, 0.1601048443056392, 0.16011194224965414, 0.16011936400545868, 0.16012711231818691, 0.16013519004934545, 0.16014360017718626, 0.16015234579705642, 0.16016143012172837, 0.16017085648170387, 0.1601806283254846, 0.16019074921980478, 0.16020122284981986, 0.16021205301924787, 0.16022324365044938, 0.16023479878444755, 0.16024672258087266, 0.16025901931782946, 0.1602716933916741, 0.16028474931669065, 0.16029819172466409, 0.16031202536432818, 0.16032625510068776, 0.16034088591419413, 0.16035592289976874, 0.16037137126565601, 0.16038723633209212, 0.1604035235297763, 0.16042023839812602, 0.16043738658330148, 0.16045497383597893, 0.16047300600885461, 0.16049148905385985, 0.16051042901906581, 0.16052983204525337, 0.16054970436213079, 0.16057005228416371, 0.16059088220600479, 0.16061220059748543, 0.1606340139981462, 0.16065632901127619, 0.16067915229742771, 0.16070249056737937, 0.16072635057450801, 0.16075073910654242, 0.16077566297665527, 0.16080112901386523, 0.16082714405270326, 0.16085371492211309, 0.16088084843353989, 0.16090855136817062, 0.16093683046328655, 0.16096569239768682, 0.16099514377614188, 0.16102519111283756, 0.16105584081377372, 0.16108709915807373, 0.16111897227817384, 0.16115146613885417, 0.16118458651508372, 0.16121833896864818, 0.16125272882353442, 0.16128776114006144, 0.16132344068773108, 0.16135977191680476, 0.16139675892859837, 0.16143440544451246, 0.16147271477381281, 0.16151168978020275, 0.16155133284722575, 0.16159164584256738, 0.16163263008133505, 0.16167428628841155, 0.16171661456001246, 0.16175961432457803, 0.16180328430319019, 0.16184762246970061, 0.16189262601080601, 0.16193829128634732, 0.16198461379012327, 0.16203158811157969, 0.16207920789875188, 0.16212746582290807, 0.16217635354537235, 0.16222586168707073, 0.16227597980140174, 0.1623266963510768, 0.16237799868965183, 0.16242987304852904, 0.1624823045302754, 0.16253527710915802, 0.16258877363988644, 0.1626427758755927, 0.16269726449616823, 0.16275221914812013, 0.16280761849718647, 0.16286344029499791, 0.16291966146112533, 0.16297625818190234, 0.16303320602744129, 0.16309048008829993, 0.16314805513325961, 0.16320590578969602, 0.16326400674800026, 0.1633223329915057, 0.16338086005331467, 0.16343956430139245, 0.16361652318962494, 0.1637943783747165, 0.16397284934291426, 0.16415200503234792, 0.16433241473337479, 0.16451532536841518, 0.16470286555519834, 0.16489827814870001, 0.16510618638256944, 0.16533290532567196, 0.16558682145291492, 0.16587888058525432, 0.16622325138117489, 0.16663827361494057, 0.16714786850544952, 0.16778370370683465, 0.16858861120479457, 0.16962214164833095, 0.17096989796205123, 0.17275987163535739, 0.17519250735558373, 0.17859957823659039, 0.1835687598329539, 0.19123432501670651, 0.2040469809033475, 0.22818424489203909, 0.28295615470174817, 0.44500446583570846, 0.73302076238043623, 0.33140306348381576, 0.19126929286241875, 0.15861951198540769, 0.14839366990809491, 0.1445141935686573, 0.14285547734499945, 0.14207391597304472, 0.14165509145817809, 0.14137824507988891, 0.1411401343747731, 0.14088889643390151, 0.14059670457843834, 0.14024778614475145, 0.13983332466919976, 0.13935020549581423, 0.13880312693602195, 0.13821181420458933, 0.13762904835929332, 0.13718559261126645, 0.13721021658351409, 0.13858828438793636, 0.14401757454328803, 0.16352090157048402, 0.24728382373867536, 0.65389393575215693, 0.63748296227642909, 0.35394238513391169, 0.26113122450251214, 0.22273519893669916, 0.20293376342382835, 0.19114487194486618, 0.18340658826700773, 0.17795660397832277, 0.17390737482712615, 0.1707685184027983, 0.16824901530423547, 0.16616609479082906, 0.16439960843961693, 0.16286761335203337, 0.16151260607763013, 0.16029346667914032, 0.15918067170836342, 0.15815353854578734, 0.15719890394876321, 0.15631104520426592, 0.15549300449883746, 0.1547599315762663, 0.15414584674299306, 0.15371682254419367, 0.15359713480329437, 0.15402346583546081, 0.15546444021052114, 0.15890608033747958, 0.16660487026699691, 0.18433212301368623, 0.22902863356890196, 0.35612322076205816, 0.67359205214981333, 0.75805633451521914, 0.50213549336507268, 0.35751049172497495, 0.28884278621418263, 0.25230450001785459, 0.23055547435482687, 0.21644280436766633, 0.20666736314362644, 0.19954718406093166, 0.19415182939778403, 0.18993153775268495, 0.18654357127069177, 0.18376459340945989, 0.18144359981965794, 0.17947526249590559, 0.17778413990972758, 0.17631495495616187, 0.17502640461009294, 0.17388710075977465, 0.17287283852348503, 0.17196471496532983, 0.171147806361267, 0.17041022062077682, 0.16974240680809582, 0.16913664409657436, 0.16858665804663028, 0.16808732861687523, 0.16763446520562045, 0.16722463132604759, 0.16685500650322685, 0.16652327643528322, 0.1662275448892066, 0.16596626253170679, 0.16573816914358921, 0.16554224657691891, 0.16537768048614793, 0.16524382936507184, 0.16514019979819994, 0.1650664271216789, 0.16502226090955988, 0.16500755487425639, 0.16501735769464274, 0.16504678368007475, 0.16509588589632812, 0.16516475443636711, 0.16525351891966472, 0.16536235204105831, 0.16549147422186533, 0.16564115943526012, 0.16581174230067325, 0.16600362656919815, 0.16621729515493219, 0.16645332190744791, 0.16671238537003358, 0.16699528482943823, 0.16730295903871326, 0.16763650808933492, 0.16799721902749276, 0.16838659595894712, 0.16880639557656704, 0.16925866928661723, 0.16974581342056633, 0.17027062942097396, 0.17083639641321116, 0.1714469592614945, 0.17210683611606092, 0.17282135067014889, 0.1735967959764643, 0.1744406388884446, 0.17536177723130855, 0.17637086602157234, 0.17748073495967495, 0.17870692779581265, 0.18006840619568762, 0.18158847823362415, 0.18329603747177933, 0.18522723729527527, 0.18742778413825753, 0.18995612463162226, 0.1928879460332722, 0.19632264181250916, 0.20039277684960219, 0.20527823048536967, 0.2112278043715132, 0.21859303674930178, 0.22788248803539601, 0.23985122655435129, 0.25565217387320099, 0.27709745623033166, 0.30711229333801826, 0.35049306404866093, 0.41494305361850481, 0.51114995596319424, 0.64482338866357247, 0.7811794018419389, 0.81005381027808021, 0.68571174639787402, 0.52247127932287452, 0.40008910455887453, 0.32207752494297953, 0.27361314300285317, 0.24298366584595826, 0.22312670543186605, 0.20999086017945331, 0.20124091394256366, 0.19551194573083205, 0.19200744488699509, 0.19028751676688394, 0.19016372071033505, 0.1916612375688668, 0.19503648960638645, 0.20086158172761445, 0.21021948008533692, 0.22511840021222448, 0.24937893018143203, 0.29055834990769974, 0.36382113567528895, 0.4956446129457846, 0.69406495061543638, 0.80697869335463113, 0.67509341815279422, 0.49394204480157439, 0.37559340166822125, 0.3068864370352451, 0.26590984898650705, 0.24010710105157607, 0.22297497088642718, 0.21106692885809561, 0.20246597295328772, 0.19605096717028039, 0.19113538622426723, 0.18728144258871027, 0.18419991521374868, 0.18169375403917409, 0.17962504484771971, 0.1778949577432547, 0.17643118393418342, 0.17517983797053482, 0.17410010404146437, 0.17316061477765282, 0.17233695095423041, 0.17160988262224991, 0.17096411062115971, 0.17038735203446834, 0.16986966604987311, 0.1694029504517571, 0.1689805609433761, 0.16859702004402699, 0.16824779209842816, 0.1679291076269484, 0.1676378248829255, 0.16737131974024747, 0.1671273973502094, 0.16690422067265689, 0.16670025219830067, 0.16651420606984488, 0.16634500847087269, 0.16619176464700619, 0.1660537312985432, 0.16593029336940263, 0.16582094447660151, 0.16572527039415175, 0.16564293513727457, 0.16557366929602213, 0.16551726034851716, 0.16547354474796155, 0.16544240162831475, 0.16542374801410403, 0.16541753545263854], [0.1704693185475947, 0.17048312090657086, 0.17052459125607486, 0.17059392179322797, 0.17069144087284308, 0.17081762538689943, 0.17097311880446295, 0.17115875565060026, 0.17137559353369514, 0.17162495425960755, 0.17190847614199609, 0.17222818039318699, 0.17258655555049401, 0.17298666539442428, 0.17343228795333962, 0.17392809628108949, 0.17447989623844445, 0.17509494330459544, 0.17578237079894352, 0.17655377799471203, 0.177424052211589, 0.17841254071366164, 0.17954475816757756, 0.18085493621774826, 0.18238993773759929, 0.18421545993258942, 0.1864262313286969, 0.18916350631005577, 0.19264663712677152, 0.19723362182089685, 0.20354618543789352, 0.2127533393332437, 0.22729543049864778, 0.25304496879488791, 0.30721171838391409, 0.45338529535486033, 0.77558891992532586, 0.38954937157468189, 0.20505822941827573, 0.16792425681532952, 0.15873465516681126, 0.15659437124794501, 0.15664362148250638, 0.15744197756438427, 0.15849242716558407, 0.15960842942348494, 0.16071858384442539, 0.1617977011812545, 0.16284000959320499, 0.16384799313405385, 0.16482751831676826, 0.16578564725211417, 0.1667296475190016, 0.1676665460960865, 0.16860292720540551, 0.16954482954583144, 0.17049766952113421, 0.1714661502932962, 0.17245413222883213, 0.17346444806214348, 0.17449865073194959, 0.17555668625889037, 0.17663649038124751, 0.17773351784862385, 0.17884022896408791, 0.17994558023078192, 0.18103459442182543, 0.18208811697000424, 0.18308289308974701, 0.18399211147104, 0.18478654001134823, 0.18543631199714919, 0.18591330169156356, 0.18619386985234998, 0.18626160079302634, 0.18610955116150554, 0.18574154305867857, 0.18517218519245876, 0.18442556623861794, 0.18353285479024767, 0.18252926314781151, 0.18145091845042158, 0.18033212268715543, 0.17920331685128402, 0.17808986457434484, 0.17701160007576416, 0.17598297859220427, 0.17501362826205272, 0.1741091143081589, 0.17327176630948404, 0.17250146751538672, 0.17179634880463213, 0.17115336325965158, 0.17056873952927454, 0.17003832488554943, 0.16955783470754204, 0.16912302650125435, 0.16872981542089377, 0.16837434592993775, 0.16805303156221796, 0.16776257217454354, 0.16749995583982999, 0.16726245068303963, 0.16704759050196083, 0.16685315689436617, 0.16667715977352959, 0.1665178175376055, 0.1663735377136587, 0.16624289858193195, 0.16612463206650319, 0.16601760802886004, 0.16592082000145469, 0.16583337233442744, 0.16575446868970037, 0.16568340179481425, 0.16561954435866996, 0.16556234104881681, 0.16551130143232443, 0.16546599378771801, 0.16542603970260464, 0.16539110937962875, 0.16536091758168431, 0.16533522015553961, 0.1653138110809621, 0.16529651999998882, 0.16528321018811201, 0.1652737769358372, 0.16526814631539113, 0.16526627431331545, 0.16526658283946569, 0.16526750879756694, 0.16526905332727365, 0.16527121833035674, 0.1652740064742351, 0.16527742119693256, 0.16528146671348456, 0.16528614802381053, 0.16529147092208191, 0.16529744200761975, 0.16530406869735648, 0.16531135923990745, 0.16531932273130456, 0.1653279691324373, 0.16533730928827989, 0.1653473549489555, 0.16535811879272658, 0.16536961445098672, 0.16538185653535045, 0.16539486066693723, 0.16540864350795645, 0.16542322279572177, 0.16543861737920848, 0.16545484725830573, 0.16547193362590915, 0.16548989891301924, 0.16550876683702326, 0.16552856245335221, 0.16554931221072608, 0.16557104401020603, 0.16559378726830515, 0.16561757298441948, 0.16564243381286792, 0.16566840413985412, 0.16569552016568528, 0.16572381999262117, 0.16575334371874736, 0.16578413353831015, 0.16581623384898195, 0.16584969136657818, 0.16588455524778056, 0.16592087722148141, 0.16595871172942039, 0.16599811607684317, 0.16603915059398608, 0.16608187880926845, 0.16612636763515573, 0.16617268756776563, 0.1662209129013828, 0.16627112195918442, 0.16632339734161214, 0.1663778261939754, 0.16643450049505951, 0.16649351736870024, 0.16655497942052783, 0.16661899510232958, 0.16668567910679144, 0.16675515279571335, 0.16682754466519084, 0.16690299085171062, 0.16698163568364005, 0.16706363228320151, 0.16714914322473928, 0.16723834125593345, 0.16733141008959893, 0.16742854527486298, 0.16752995515791183, 0.16763586194410041, 0.16774650287519569, 0.16786213153781782, 0.16798301932195489, 0.16810945705176536, 0.16824175681493642, 0.16838025402178763, 0.16852530973126167, 0.16867731328826419, 0.1688366853257402, 0.16900388119588583, 0.16917939490848957, 0.16936376367126302, 0.16955757314801637, 0.16976146357682853, 0.16997613692336874, 0.17020236528622457, 0.17044100082397989, 0.17069298754123721, 0.17095937535725608, 0.17124133699240227, 0.17154018835227669, 0.17185741327830772, 0.17219469378200544, 0.1725539472090602, 0.1729373722187359, 0.17334750605538493, 0.17378729639245277, 0.17426019213181307, 0.1747702590699716, 0.17532232848649809, 0.17592218975361845, 0.17657684244421804, 0.17729482980470793, 0.17808668492799995, 0.17896553523219721, 0.17994793275330259, 0.18105501205211058, 0.18231413240488925, 0.18376125086112749, 0.18544442401513797, 0.18742909831743632, 0.18980631738171058, 0.19270584382504008, 0.19631787146234964, 0.20093039570427029, 0.20699652745614591, 0.21526230797966536, 0.2270247048250425, 0.24469017819526556, 0.27307991295419948, 0.32268949497741289, 0.41760638226567648, 0.60233832298760848, 0.81182797954837971, 0.67147262973306099, 0.43130863942041159, 0.31095980217311947, 0.25820481753882546, 0.23567090751921196, 0.22932854805974207, 0.23567090751920178, 0.25820481753883168, 0.31095980217318664, 0.43130863942048842, 0.67147262973306465, 0.81182797954822594, 0.60233832298778867, 0.41760638226571967, 0.32268949497748167, 0.27307991295423845, 0.24469017819525538, 0.22702470482503201, 0.21526230797966447, 0.20699652745614699, 0.20093039570426921, 0.19631787146235247, 0.19270584382503742, 0.18980631738170564, 0.18742909831743704, 0.18544442401513972, 0.18376125086112738, 0.18231413240489, 0.18105501205211005, 0.17994793275330234, 0.17896553523219721, 0.17808668492799926, 0.17729482980470845, 0.17657684244421762, 0.1759221897536184, 0.17532232848649887, 0.17477025906997123, 0.17426019213181307, 0.17378729639245322, 0.17334750605538521, 0.17293737221873587, 0.17255394720905987, 0.17219469378200528, 0.17185741327830784, 0.17154018835227663, 0.17124133699240268, 0.17095937535725636, 0.17069298754123691, 0.17044100082398014, 0.17020236528622468, 0.16997613692336841, 0.16976146357682839, 0.16955757314801645, 0.16936376367126316, 0.1691793949084896, 0.16900388119588611, 0.16883668532574037, 0.1686773132882638, 0.16852530973126134, 0.16838025402178769, 0.16824175681493639, 0.16810945705176511, 0.16798301932195506, 0.16786213153781779, 0.16774650287519541, 0.16763586194410013, 0.16752995515791147, 0.16742854527486303, 0.16733141008959887, 0.16723834125593379, 0.16714914322473917, 0.16706363228320165, 0.16698163568364002, 0.16690299085171054, 0.16682754466519062, 0.16675515279571357, 0.16668567910679144, 0.16661899510232941, 0.16655497942052791, 0.16649351736870047, 0.16643450049505981, 0.16637782619397543, 0.16632339734161208, 0.16627112195918442, 0.16622091290138249, 0.16617268756776574, 0.16612636763515601, 0.16608187880926834, 0.166039150593986, 0.16599811607684306, 0.16595871172942045, 0.16592087722148152, 0.16588455524778056, 0.16584969136657807, 0.1658162338489817, 0.16578413353831012, 0.16575334371874739, 0.16572381999262115, 0.16569552016568506, 0.16566840413985412, 0.16564243381286806, 0.16561757298441956, 0.16559378726830495, 0.16557104401020598, 0.1655493122107258, 0.16552856245335218, 0.16550876683702337, 0.16548989891301935, 0.16547193362590898, 0.16545484725830562, 0.16543861737920834, 0.16542322279572164, 0.16540864350795673, 0.16539486066693707, 0.16538185653535073, 0.16536961445098694, 0.1653581187927266, 0.16534735494895542, 0.16533730928828008, 0.16532796913243764, 0.16531932273130448, 0.1653113592399077, 0.16530406869735645, 0.16529744200761973, 0.16529147092208207, 0.16528614802381042, 0.16528146671348456, 0.16527742119693264, 0.16527400647423493, 0.16527121833035688, 0.16526905332727376, 0.16526750879756705, 0.16526658283946585, 0.16526627431331509, 0.16526642856539073, 0.16526689137940084, 0.16526766292871203, 0.16526874350231605, 0.16527013350490413, 0.1652718334569703, 0.16527384399493911, 0.16527616587132596, 0.16527879995492381, 0.16528174723101408, 0.16528500880160713, 0.16528858588570397, 0.16529247981958645, 0.16529669205712402, 0.16530122417010773, 0.16530607784859952, 0.16531125490130308, 0.16531675725594749, 0.16532258695968971, 0.16532874617952206, 0.1653352372026988, 0.16534206243716187, 0.16534922441197436, 0.16535672577775609, 0.16536456930711527, 0.16537275789507708, 0.16538129455949946, 0.16539018244148118, 0.1653994248057469, 0.16540902504101254, 0.16541898666032351, 0.16542931330135988, 0.16544000872670236, 0.16545107682405338, 0.16546252160640945, 0.16547434721217125, 0.16548655790519123, 0.16549915807474333, 0.16551215223541427, 0.16552554502690034, 0.16553934121370095, 0.16555354568470529, 0.1655681634526493, 0.1655831996534427, 0.16559865954534431, 0.16561454850797938, 0.16563087204118096, 0.16564763576363972, 0.1656648454113494, 0.1656825068358273, 0.16570062600209745, 0.16571920898640996, 0.16573826197368469, 0.16575779125465151, 0.16577780322267099, 0.1657983043702061, 0.16581930128492886, 0.16584080064542439, 0.16586280921647878, 0.16588533384391327, 0.16590838144893846, 0.16593195902199953, 0.16595607361607595, 0.16598073233940946, 0.16600594234761801, 0.16603171083516732, 0.16605804502615695, 0.16608495216439012, 0.16611243950267962, 0.16614051429136029, 0.1661691837659586, 0.16619845513398446, 0.16622833556080083, 0.1662588321545323, 0.16628995194996821, 0.16632170189142148, 0.16635408881450467, 0.16638711942677989, 0.16642080028725131, 0.16645513778466042, 0.1664901381145566, 0.16652580725511318, 0.16656215094166102, 0.16659917463993229, 0.16663688351798714, 0.16667528241683313, 0.16671437581972906, 0.16675416782019623, 0.16679466208875257, 0.16683586183841811, 0.16687776978903296, 0.16692038813046442, 0.16696371848478783, 0.16700776186754654, 0.16705251864822868, 0.16709798851010427, 0.16714417040962476, 0.16719106253558433, 0.16723866226829745, 0.16728696613908406, 0.16733596979037599, 0.16738566793682624, 0.16743605432782477, 0.1674871217118947, 0.16753886180347941, 0.16759126525269646, 0.167644321618696, 0.16769801934730882, 0.1677523457537502, 0.16780728701120198, 0.16786282814617376, 0.16791895304159499, 0.16797564444868762, 0.16803288400871258, 0.16809065228577513, 0.16814892881192248, 0.16820769214584899, 0.16826691994657259, 0.16832658906350922, 0.16838667564441653, 0.16844715526272, 0.16850800306577174, 0.16856919394560127, 0.16863070273374231, 0.16869250442169773, 0.16875457440860925, 0.16881688877763601, 0.16887942460252792, 0.16906815374192252, 0.16925822334414248, 0.16944941373970529, 0.16964188846621125, 0.16983635701184707, 0.17003426685390988, 0.17023802597009646, 0.17045125872540179, 0.17067910219361579, 0.17092855776854962, 0.17120892596039797, 0.1715323729328774, 0.17191470960960778, 0.17237651540374949, 0.17294482295233193, 0.17365572570622009, 0.17455853397298471, 0.17572260784802543, 0.17724900558871509, 0.17929123547836429, 0.18209428826198784, 0.18607316597353285, 0.19198477321529553, 0.2013468569603816, 0.21761269071318759, 0.25013888638348575, 0.33109405207246667, 0.58223723960870388, 0.59455696339366504, 0.25402048998011062, 0.17762247649420848, 0.1576505154122117, 0.15091120288937618, 0.1482657225780534, 0.1471233935823221, 0.14658381250848759, 0.1462873002523872, 0.14607510833386825, 0.14587153811486403, 0.14563793759533006, 0.145353145899033, 0.1450047727318112, 0.14458549550053476, 0.14409228193517035, 0.14352831168581551, 0.14290909985415876, 0.14227749797919517, 0.14174039942489883, 0.14156451328780076, 0.14245331292658323, 0.14647296091408937, 0.16085076342219187, 0.21864662935475537, 0.50766533570846961, 0.75236749695050875, 0.4083705929531608, 0.28549257065604217, 0.23755932570755373, 0.21386687235460353, 0.20015704884673949, 0.19133595530417302, 0.18521463250311282, 0.18071849095575568, 0.1772652597943645, 0.1745146139396338, 0.17225539080770022, 0.17035010616516238, 0.16870567544338139, 0.16725707766119613, 0.16595784934725069, 0.16477441706110879, 0.16368274919981957, 0.16266656524321271, 0.16171678801173553, 0.16083226713112131, 0.16002218705677765, 0.15931118303862524, 0.15874936742282225, 0.15843200750137953, 0.1585395077536548, 0.15942320743411226, 0.16180318998466101, 0.16726744154215181, 0.17968016314963686, 0.20971005361995071, 0.29103567753467402, 0.52173593586535572, 0.80558196380332359, 0.60780397678865328, 0.41276087016946805, 0.31964132170410947, 0.27231261302116988, 0.24525181845513483, 0.22822571142794182, 0.21670611941040913, 0.20846693756749529, 0.20231288011913692, 0.19755462406925547, 0.19377089320172536, 0.19069166918866864, 0.18813689690002072, 0.18598245145335948, 0.18414031662745597, 0.18254655746536272, 0.18115375891003702, 0.17992612273490008, 0.17883620040924517, 0.17786266279104126, 0.17698874433948009, 0.17620113650812713, 0.17548918659895721, 0.17484430831542797, 0.17425954158173937, 0.17372921928037199, 0.17324871169891051, 0.17281422823325709, 0.17242266183054131, 0.17207146574401264, 0.17175855503089038, 0.17148222725031156, 0.17124109827337314, 0.17103405017427917, 0.17086018894823291, 0.17071881037832951, 0.17060937280615388, 0.17053147588882214, 0.17048484467723124, 0.1704693185475947, 0.17047966799187719, 0.17051073571526454, 0.17056258043025946, 0.17063530180182421, 0.17072904319155524, 0.17084399555686769, 0.17098040256589617, 0.17113856701103827, 0.17131885863032256, 0.17152172347723407, 0.17174769501775661, 0.17199740718009876, 0.17227160964006688, 0.17257118569630836, 0.17289717317841213, 0.17325078894195062, 0.17363345764449337, 0.17404684567366582, 0.17449290132395909, 0.17497390260815796, 0.17549251446246822, 0.17605185758962497, 0.17665559181969906, 0.17730801770735216, 0.17801420120120498, 0.17878012772112759, 0.17961289401282907, 0.18052094893276774, 0.18151439816655787, 0.18260539326794886, 0.18380863302236553, 0.18514201604966998, 0.18662749939779738, 0.18829224119421339, 0.19017014027109874, 0.19230393862079487, 0.19474813437561239, 0.19757308189917172, 0.2008708626849306, 0.20476385073794745, 0.20941746703215092, 0.21505959948962267, 0.22201089537322632, 0.23073325696321864, 0.24190963188923881, 0.25657894960739847, 0.27636997591212448, 0.30391217679495008, 0.34354398270711234, 0.40238567768855132, 0.49103266149175623, 0.61847840204353943, 0.7618771708319525, 0.81589146880213381, 0.7033346790530195, 0.5326023596168078, 0.40211553756180241, 0.32003230805726995, 0.27001435630658238, 0.23894038019190642, 0.21903741807192537, 0.20593307413052864, 0.19714350153888208, 0.19122317295818722, 0.18731423285450213, 0.18490821170879862, 0.18372012760568671, 0.18362540310830722, 0.18463684856269783, 0.18691481259399254, 0.1908167490668887, 0.19701047415318271, 0.20671072172277349, 0.22217967294797339, 0.24782806062957236, 0.29269640912447675, 0.37556303477170955, 0.52830578018915109, 0.74000931437706785, 0.79002198131598733, 0.61360171497435212, 0.44840250293791312, 0.34986944887522881, 0.29334447998188651, 0.25929916247198798, 0.23754121028856079, 0.2228776754524795, 0.21254488760573642, 0.2049897032450354, 0.19929297174027796, 0.19488522004304981, 0.19139927538914944, 0.18859008659499776, 0.186289135235954, 0.18437747045459854, 0.18276918979657858, 0.18140099886218664, 0.18022542698347632, 0.17920630776604216, 0.17831570047887607, 0.17753175030528823, 0.17683717376620275, 0.17621816870971571, 0.17566361784645429, 0.17516449859404234, 0.17471344011122061, 0.17430438680098773, 0.17393233981206732, 0.17359315635605235, 0.17328339234932727, 0.17300017785244681, 0.17274111757597455, 0.17250421071890951, 0.17228778584879678, 0.17209044758661018, 0.1719110326374205, 0.17174857328767001, 0.17160226692603123, 0.17147145047575527, 0.17135557887949548, 0.17125420697251062, 0.171166974231242, 0.17109359200194568, 0.17103383290625684, 0.17098752219299784, 0.1709545308628348, 0.17093477043802199, 0.17092818928625303], [0.17607203265082513, 0.17608660140375629, 0.17613037625438088, 0.17620356557462091, 0.17630652541154088, 0.17643977300700586, 0.17660400651516001, 0.17680013178664694, 0.17702929745944257, 0.17729294007850951, 0.17759284161023028, 0.17793120259433701, 0.17831073539112885, 0.1787347836921851, 0.17920747690777813, 0.17973393159459899, 0.18032051732905341, 0.18097521230796867, 0.18170808602397606, 0.18253196523555479, 0.18346336965856422, 0.1845238533974902, 0.18574197188099598, 0.18715624003080364, 0.18881971102069245, 0.19080730077946559, 0.19322796007939, 0.19624582620839626, 0.20011898019704091, 0.20527515536307483, 0.21247172569407924, 0.22316889192101197, 0.24051805761400602, 0.27245306848839523, 0.34360327798269857, 0.54467522617386122, 0.74141113547624471, 0.31063497754315406, 0.19422773527610734, 0.16906346294400726, 0.16269349554194992, 0.16142898559625882, 0.16181033583097357, 0.16275763531839896, 0.1638871856380677, 0.16505349537392155, 0.16620168608748551, 0.16731379304891231, 0.1683874400409085, 0.16942683012369281, 0.17043878302186238, 0.17143095675069597, 0.1724110492815594, 0.17338644549993668, 0.1743640605978688, 0.17535025850878611, 0.17635078252235095, 0.17737066246950076, 0.17841407557655437, 0.17948414418947217, 0.18058265725658529, 0.18170970639916662, 0.18286323375508648, 0.18403849961457353, 0.18522749513226375, 0.18641835048551614, 0.18759482160051025, 0.18873597577698925, 0.18981623021340296, 0.19080591368902841, 0.19167250184099818, 0.19238260225458315, 0.19290462884493881, 0.19321192010546154, 0.19328586738680861, 0.19311849641399384, 0.19271395604743377, 0.19208854373756665, 0.19126920302046374, 0.19029076935759009, 0.1891925003308218, 0.18801452261762908, 0.1867947494326743, 0.18556662279007699, 0.18435780017566514, 0.1831897091456024, 0.1820777745957258, 0.18103208388973982, 0.1800582736465581, 0.17915847114095582, 0.17833217993195541, 0.17757704930572266, 0.17688950442294238, 0.1762652382405438, 0.17569957965178779, 0.17518775798362837, 0.17472508486928681, 0.1743070727641074, 0.17392950646919261, 0.17358848086155523, 0.17328041507758712, 0.17300205086774573, 0.1727504407878927, 0.1725229302892633, 0.17231713655185965, 0.17213092600315388, 0.17196239180741513, 0.17180983214198783, 0.17167172974789555, 0.17154673301576751, 0.1714336387158151, 0.17133137638106385, 0.17123899429060147, 0.17115564696281246, 0.17108058404925489, 0.17101314051218916, 0.17095272796870473, 0.17089882708905413, 0.17085098094429169, 0.17080878920727843, 0.17077190312071458, 0.17074002115554507, 0.17071288529251838, 0.17069027786865898, 0.17067201893888984, 0.17065796411096001, 0.17064800281922973, 0.17064205700980911, 0.17064008021607333, 0.17064040615186585, 0.17064138436134921, 0.17064301605159324, 0.17064530323688556, 0.17064824874250359, 0.17065185621000709, 0.17065613010407973, 0.17066107572093547, 0.17066669919832403, 0.17067300752716941, 0.1706800085648818, 0.17068771105038921, 0.1706961246209473, 0.17070525983077572, 0.17071512817160556, 0.17072574209519339, 0.17073711503789893, 0.1707492614474056, 0.17076219681169089, 0.17077593769034913, 0.17079050174838262, 0.17080590779259952, 0.17082217581074421, 0.17083932701352098, 0.17085738387967128, 0.17087637020428437, 0.17089631115053239, 0.17091723330504049, 0.17093916473712137, 0.17096213506211408, 0.17098617550910017, 0.17101131899328248, 0.17103760019334174, 0.1710650556341117, 0.17109372377493967, 0.17112364510414008, 0.17115486223997159, 0.17118742003861848, 0.17122136570968757, 0.17125674893979467, 0.17129362202484857, 0.17133204001170882, 0.17137206084995485, 0.17141374555457234, 0.17145715838044079, 0.17150236700959648, 0.17154944275233672, 0.17159846076334839, 0.1716495002741539, 0.17170264484331896, 0.17175798262601283, 0.1718156066646857, 0.17187561520283426, 0.17193811202404227, 0.17200320681875128, 0.17207101558149801, 0.17214166104170275, 0.17221527313147397, 0.17229198949434013, 0.1723719560393405, 0.17245532754550266, 0.17254226832243363, 0.17263295293355826, 0.17272756698950631, 0.17282630802026, 0.17292938643599468, 0.17303702658812739, 0.17314946794392125, 0.17326696639023809, 0.17338979568465576, 0.17351824907536859, 0.17365264111510689, 0.17379330969894727, 0.17394061836151628, 0.17409495887591353, 0.17425675420507516, 0.17442646186655292, 0.17460457778434726, 0.17479164071709635, 0.17498823737137637, 0.17519500833314081, 0.17541265498076702, 0.17564194758148524, 0.17588373482145142, 0.17613895508139005, 0.17640864984857402, 0.17669397975728529, 0.17699624388105251, 0.17731690307066963, 0.17765760835574229, 0.17802023572288483, 0.17840692897656829, 0.1788201529156479, 0.17926275977171782, 0.17973807282971155, 0.18024999249580295, 0.18080313195412126, 0.18140299220362346, 0.18205619005684304, 0.18277075817966623, 0.18355654434541332, 0.18442574918936505, 0.18539366020084688, 0.18647966834321955, 0.1877086991372989, 0.18911326380972759, 0.19073645893371888, 0.19263645335102089, 0.19489337290794012, 0.19762017385601049, 0.20098039064816442, 0.2052182200493517, 0.21071179238081772, 0.21807241269497152, 0.22834072423703466, 0.2434021280584755, 0.26693822965311559, 0.30678840188175655, 0.38105845312676961, 0.53002964325476043, 0.76843990681415397, 0.74676594404352292, 0.46871128661076289, 0.31512034236189368, 0.24998753901925186, 0.22116124609477536, 0.20852259059986689, 0.20491160266873984, 0.20852259059986072, 0.22116124609477827, 0.24998753901928772, 0.31512034236194858, 0.46871128661077344, 0.74676594404390384, 0.76843990681429108, 0.5300296432548316, 0.38105845312687747, 0.30678840188180995, 0.26693822965310199, 0.24340212805846201, 0.22834072423703397, 0.21807241269497299, 0.21071179238081642, 0.20521822004935528, 0.20098039064816131, 0.19762017385600486, 0.19489337290794079, 0.19263645335102278, 0.19073645893371871, 0.18911326380972837, 0.18770869913729835, 0.18647966834321925, 0.1853936602008468, 0.1844257491893643, 0.18355654434541388, 0.18277075817966582, 0.18205619005684298, 0.1814029922036243, 0.18080313195412087, 0.18024999249580292, 0.17973807282971199, 0.17926275977171804, 0.17882015291564793, 0.17840692897656793, 0.1780202357228847, 0.17765760835574246, 0.17731690307066952, 0.17699624388105289, 0.17669397975728554, 0.17640864984857368, 0.17613895508139035, 0.17588373482145148, 0.17564194758148485, 0.17541265498076694, 0.17519500833314086, 0.17498823737137661, 0.17479164071709638, 0.1746045777843476, 0.17442646186655303, 0.17425675420507483, 0.17409495887591328, 0.17394061836151636, 0.17379330969894724, 0.17365264111510667, 0.17351824907536878, 0.17338979568465576, 0.17326696639023773, 0.17314946794392094, 0.17303702658812709, 0.17292938643599473, 0.17282630802025992, 0.17272756698950659, 0.17263295293355821, 0.1725422683224338, 0.17245532754550269, 0.1723719560393403, 0.17229198949433991, 0.17221527313147419, 0.17214166104170273, 0.17207101558149776, 0.17200320681875136, 0.17193811202404247, 0.17187561520283454, 0.17181560666468573, 0.17175798262601277, 0.17170264484331896, 0.17164950027415363, 0.17159846076334839, 0.17154944275233699, 0.1715023670095964, 0.17145715838044071, 0.17141374555457231, 0.17137206084995488, 0.17133204001170887, 0.17129362202484866, 0.17125674893979453, 0.1712213657096873, 0.17118742003861848, 0.17115486223997162, 0.17112364510414002, 0.17109372377493948, 0.17106505563411165, 0.17103760019334191, 0.17101131899328259, 0.17098617550909992, 0.170962135062114, 0.17093916473712109, 0.17091723330504044, 0.17089631115053247, 0.17087637020428448, 0.17085738387967114, 0.17083932701352089, 0.17082217581074408, 0.17080590779259941, 0.17079050174838287, 0.17077593769034904, 0.17076219681169122, 0.17074926144740579, 0.1707371150378989, 0.17072574209519331, 0.1707151281716057, 0.17070525983077608, 0.17069612462094727, 0.17068771105038949, 0.17068000856488177, 0.17067300752716943, 0.17066669919832414, 0.17066107572093542, 0.17065613010407973, 0.1706518562100072, 0.17064824874250342, 0.17064530323688562, 0.17064301605159338, 0.17064138436134949, 0.1706404061518659, 0.17064008021607291, 0.17064024317229373, 0.17064073210185274, 0.17064154718745791, 0.17064268873367322, 0.17064415716699816, 0.17064595303597829, 0.17064807701134158, 0.17065052988617016, 0.17065331257610006, 0.17065642611954676, 0.17065987167796268, 0.17066365053611759, 0.1706677641024093, 0.17067221390919293, 0.17067700161313804, 0.1706821289956047, 0.17068759796304081, 0.17069341054739481, 0.1706995689065483, 0.17070607532475504, 0.17071293221310035, 0.17072014210996117, 0.17072770768147358, 0.17073563172200559, 0.17074391715462484, 0.17075256703156463, 0.17076158453467766, 0.1707709729758827, 0.1707807357975879, 0.17079087657309436, 0.17080139900697289, 0.17081230693540722, 0.17082360432649665, 0.17083529528051325, 0.17084738403011018, 0.17085987494046431, 0.17087277250935609, 0.17088608136716946, 0.17089980627680934, 0.17091395213352437, 0.1709285239646201, 0.17094352692906489, 0.17095896631695917, 0.17097484754887265, 0.17099117617502255, 0.17100795787429057, 0.17102519845305544, 0.17104290384382931, 0.17106108010368054, 0.17107973341242494, 0.17109887007057004, 0.17111849649698699, 0.171138619226295, 0.17115924490593323, 0.17118038029289961, 0.17120203225012864, 0.17122420774249039, 0.17124691383237142, 0.17127015767482517, 0.17129394651225033, 0.17131828766857249, 0.17134318854289704, 0.17136865660259692, 0.17139469937580706, 0.1714213244432817, 0.17144853942958663, 0.17147635199357963, 0.17150476981814877, 0.1715338005991596, 0.17156345203357884, 0.1715937318067268, 0.17162464757861801, 0.1716562069693498, 0.17168841754349401, 0.17172128679344986, 0.17175482212171542, 0.17178903082204119, 0.17182392005941918, 0.17185949684887686, 0.17189576803303613, 0.17193274025840949, 0.17197041995040263, 0.17200881328699866, 0.17204792617111506, 0.17208776420160823, 0.1721283326429385, 0.17216963639348748, 0.17221167995255637, 0.17225446738606207, 0.1722980022909863, 0.17234228775862231, 0.17238732633670478, 0.1724331199905127, 0.172479670063061, 0.17252697723452845, 0.17257504148107736, 0.17262386203327923, 0.17267343733436355, 0.17272376499855746, 0.17277484176983118, 0.17282666348138004, 0.17287922501625252, 0.17293252026955083, 0.17298654211271053, 0.17304128236040003, 0.17309673174065127, 0.17315287986889993, 0.17320971522666073, 0.17326722514565085, 0.17332539579823494, 0.17338421219514402, 0.17344365819148119, 0.17350371650212446, 0.17356436872768644, 0.17362559539228928, 0.1736873759944616, 0.17374968907255517, 0.17381251228612876, 0.17387582251481526, 0.17393959597623943, 0.17400380836459506, 0.17406843501153788, 0.17413345107105832, 0.17419883173003334, 0.17426455244613184, 0.17433058921476466, 0.17439691886670677, 0.17446351939800842, 0.17466475159450406, 0.17486782488913274, 0.17507259083414797, 0.17527932139294977, 0.17548888469259927, 0.17570295338212968, 0.17592424771058227, 0.17615681768567232, 0.17640637370470799, 0.17668068428526246, 0.17699007492237737, 0.17734808665851834, 0.17777239180450893, 0.17828612691071663, 0.17891990801879445, 0.17971497734578079, 0.18072827010761849, 0.18204084925236444, 0.18377250652147598, 0.18610826983659376, 0.18934943506417257, 0.19401925324843, 0.20110290185991053, 0.21266072817007589, 0.23365883547935276, 0.27867783951228614, 0.40243814609377332, 0.72044373298926145, 0.41554810112780749, 0.21516421155774465, 0.17143072177869301, 0.15875525260389872, 0.15424300575520755, 0.15243984459894153, 0.15166500379773767, 0.15130195768561122, 0.15109568191694897, 0.15093104746703584, 0.15075229736914242, 0.15053054678069575, 0.15024963146201059, 0.14989970654772125, 0.14947454599971519, 0.14897109270801018, 0.148391190392275, 0.14774679440017899, 0.14707250920608911, 0.14645575737905001, 0.14611380964213924, 0.14660997700752407, 0.14954660371597089, 0.16024011336204824, 0.20109359815257422, 0.39650225220869761, 0.8179407769741075, 0.47833520150600817, 0.31485969059138802, 0.25438110242990736, 0.22582397963074574, 0.20980071935067507, 0.19971010828904237, 0.19281718596242331, 0.1878151849066175, 0.18401043680820064, 0.18100395528600996, 0.17855131728225049, 0.17649500044241273, 0.174729203100362, 0.17318043849300904, 0.17179632589851221, 0.17053891293999282, 0.16938067329059794, 0.16830223085671897, 0.16729136972806177, 0.16634323960041345, 0.16546200869079836, 0.16466470316042797, 0.16398885951207504, 0.16350746038334263, 0.1633587900049987, 0.16380898464406579, 0.16539179954024746, 0.16924755428770893, 0.17803313289489395, 0.19868364777724673, 0.2519150554062648, 0.40387665728664168, 0.73164618857213592, 0.72292785555409178, 0.48508866465821987, 0.35818538819474149, 0.29601072176815812, 0.26194206268601422, 0.24121792457483734, 0.22755261730309392, 0.21797065783614, 0.21092420361606817, 0.20554340830802373, 0.2013078119194692, 0.19788961541445377, 0.19507341089374727, 0.19271252747791565, 0.1907040525736054, 0.1889739047716992, 0.18746757310335554, 0.18614418135255753, 0.18497257316177537, 0.18392866376098663, 0.18299360761898384, 0.18215250465877802, 0.18139346981787718, 0.18070695262045267, 0.18008523188235701, 0.17952203511695497, 0.17901224807998342, 0.17855169039366275, 0.17813694026392191, 0.17776519614776901, 0.17743416659484199, 0.17714198186122909, 0.17688712259002651, 0.17666836208008946, 0.1764847195622293, 0.17633542256620238, 0.17621987695824606, 0.17613764360437661, 0.17608842090244459, 0.17607203265082513, 0.1760829567288901, 0.17611575038831967, 0.1761704784983181, 0.1762472511615841, 0.17634622672750799, 0.17646761607654912, 0.17661168824557627, 0.17677877748953466, 0.1769692919050572, 0.17718372377793562, 0.17742266186046241, 0.17768680583878244, 0.1779769833172222, 0.17829416972962328, 0.17863951169152897, 0.17901435443748673, 0.17942027415265499, 0.17985911621745185, 0.18033304065222977, 0.18084457639440871, 0.18139668648862495, 0.18199284685618661, 0.18263714208160359, 0.18333438267877011, 0.18409024967233933, 0.18491147418642317, 0.18580606226770463, 0.18678357866682632, 0.18785550817828636, 0.18903572001822636, 0.19034107054407304, 0.19179219383643337, 0.19341455052571074, 0.19523983632346312, 0.19730789876560098, 0.19966938313940616, 0.20238944227422237, 0.20555302689430249, 0.20927257089476201, 0.21369938391410503, 0.21904091714684873, 0.22558756853706813, 0.23375539770860912, 0.24415611217014963, 0.2577150651389703, 0.27587566967609306, 0.30096056201911769, 0.33680732708426081, 0.38980191578239848, 0.46995657966224191, 0.58838097703012693, 0.73453757008671028, 0.81809071443448023, 0.72972775677155688, 0.55412867729753557, 0.41282603323830613, 0.32421561852772779, 0.27114815180817786, 0.23878030276393777, 0.2183649691615116, 0.20506429929603273, 0.19617479977313845, 0.19014101847558448, 0.18604132599526327, 0.18331885553331653, 0.18163816871649804, 0.18080850325744174, 0.18074479521469689, 0.18145325152102201, 0.18303743604444775, 0.18572844956804005, 0.18995303486092846, 0.19647304644818939, 0.20667406895292995, 0.22318975181391465, 0.25132383842581185, 0.30236835171738452, 0.40034575280491169, 0.58135790176836832, 0.78625570404406619, 0.74358328655039951, 0.54789991078500522, 0.40771787880904831, 0.32824536677518074, 0.28243335206162562, 0.25435837327755478, 0.2360802484710092, 0.22355097603479152, 0.21458924657908895, 0.20795059353180015, 0.20288752422050363, 0.19893049557851289, 0.19577295678742232, 0.19320799832724531, 0.19109188268925056, 0.18932222209973953, 0.18782446608359255, 0.18654327680806507, 0.18543687354776875, 0.18447323354473949, 0.18362748399926762, 0.18288007637821707, 0.18221548549836505, 0.18162126743566012, 0.181087367108002, 0.18060560237416995, 0.18016927476378738, 0.17977287227882474, 0.17941183997248261, 0.17908240099618458, 0.1787814156283091, 0.1785062691742523, 0.17825478202102263, 0.17802513684736371, 0.17781581923727452, 0.17762556885972117, 0.17745333905554286, 0.17729826318016192, 0.17715962643403677, 0.17703684220467431, 0.17692943216791193, 0.17683700956906728, 0.17675926523874802, 0.17669595600287843, 0.17664689522853577, 0.17661194531185592, 0.17659101196559088, 0.17658404020511489], [0.18173130975518148, 0.1817466728787597, 0.18179283649695605, 0.18187002618273049, 0.18197862744392565, 0.18211920047423075, 0.18229250168407982, 0.1824995129801627, 0.1827414801776796, 0.18301996247120816, 0.18333689561527416, 0.18369467245663423, 0.1840962458382478, 0.1845452608417267, 0.1850462261288689, 0.18560473821697077, 0.18622777856491118, 0.18692411247194532, 0.18770483284485781, 0.1885841140032091, 0.18958027632041927, 0.19071732141731884, 0.19202719793398909, 0.19355323433894064, 0.19535549719347112, 0.19751944594188062, 0.20017047859977016, 0.2034995457180066, 0.20781083426310007, 0.21361672478418184, 0.22184329383597584, 0.23432428520972912, 0.25516066076849919, 0.29518219563636722, 0.38986821833198027, 0.65354703755631371, 0.61004674128668579, 0.26361270314592788, 0.18871292518089613, 0.17138252659260697, 0.16703725883299836, 0.16644226314034249, 0.16708960597886657, 0.16816128331062813, 0.16935980906222992, 0.17057197761992698, 0.17175623284632138, 0.17290055329553672, 0.17400540872361517, 0.1750764745029337, 0.17612141167688528, 0.17714842654512664, 0.17816563292001542, 0.17918077773031471, 0.18020112314230266, 0.1812333828914888, 0.1822836586127585, 0.18335734416019553, 0.18445897597936153, 0.18559201219012841, 0.18675852580976227, 0.18795880099067899, 0.18919082747481553, 0.19044969995368616, 0.19172694796681181, 0.19300985016565589, 0.19428082437340133, 0.19551702860972509, 0.19669034926740497, 0.19776797495935147, 0.19871373609061754, 0.19949030843793764, 0.2000622227125913, 0.20039940635594397, 0.200480760374249, 0.20029712491676691, 0.19985299528604111, 0.1991665537473242, 0.19826794194034458, 0.1971960995997194, 0.19599479817978754, 0.19470860559162628, 0.19337941877413398, 0.19204396196373988, 0.19073237292007744, 0.18946777406931306, 0.1882665936827044, 0.18713936322707614, 0.18609174415377108, 0.1851255975080954, 0.18423997620540658, 0.18343197688786966, 0.18269742985024304, 0.18203143173580805, 0.18142873963016445, 0.18088405060166157, 0.18039219097739828, 0.1799482371691421, 0.17954758629329662, 0.17918599111243858, 0.17885957044867068, 0.17856480337722333, 0.17829851323462378, 0.17805784572030803, 0.17784024405230453, 0.17764342316965234, 0.17746534427735167, 0.17730419053698296, 0.17715834436438005, 0.17702636656348622, 0.17690697737164368, 0.17679903939293126, 0.17670154233597521, 0.17661358943876795, 0.17653438544681702, 0.17646322600635078, 0.1763994883371022, 0.17634262305644757, 0.17629214703647553, 0.17624763718655756, 0.17620872506535751, 0.17617509223743608, 0.1761464663003621, 0.17612261751837219, 0.1761033560080833, 0.17608852943055045, 0.17607802115211352, 0.17607174884409757, 0.17606966349856451, 0.17607000742876783, 0.17607103964475429, 0.17607276142345443, 0.17607517489575789, 0.17607828305053433, 0.1760820897402792, 0.17608659968840956, 0.17609181849823063, 0.176097752663608, 0.17610440958138304, 0.17611179756557455, 0.1761199258634169, 0.17612880467329733, 0.17613844516464455, 0.17614885949986098, 0.17616006085835612, 0.17617206346278841, 0.17618488260759987, 0.17619853468995827, 0.17621303724321977, 0.17622840897303527, 0.17624466979625186, 0.1762618408827436, 0.17627994470034772, 0.17629900506307866, 0.17631904718281491, 0.17634009772466608, 0.17636218486624863, 0.1763853383611195, 0.17640958960662789, 0.17643497171648254, 0.17646151959834439, 0.17648927003678866, 0.17651826178200597, 0.17654853564464543, 0.17658013459724067, 0.17661310388269386, 0.17664749113033809, 0.17668334648014261, 0.1767207227156857, 0.17675967540656401, 0.17680026306097976, 0.17684254728931612, 0.17688659297958667, 0.17693246848573263, 0.17698024582984051, 0.17703000091945692, 0.17708181378130586, 0.17713576881283929, 0.17719195505321911, 0.17725046647549175, 0.17731140230191644, 0.17737486734463226, 0.17744097237409776, 0.17750983451803637, 0.17758157769393551, 0.17765633307854364, 0.17773423961823326, 0.17781544458460621, 0.17790010418030178, 0.17798838420064417, 0.17808046075755482, 0.17817652107307175, 0.17827676435090967, 0.1783814027357587, 0.17849066237151626, 0.1786047845714428, 0.17872402711531887, 0.17884866569123231, 0.17897899550261379, 0.17911533306478658, 0.17925801821965698, 0.17940741640245939, 0.17956392120091225, 0.17972795725495269, 0.17989998355483214, 0.18008049720713135, 0.18027003775279918, 0.18046919213935086, 0.18067860047179232, 0.18089896269486822, 0.18113104639446767, 0.18137569595044384, 0.18163384332947902, 0.18190652087848755, 0.18219487657119351, 0.18250019227934788, 0.18282390579427052, 0.18316763752584697, 0.18353322307112338, 0.18392275319593321, 0.18433862324230432, 0.18478359460695626, 0.18526087179653525, 0.18577419974718426, 0.1863279877371663, 0.18692746852642472, 0.1875789046352723, 0.18828985839984078, 0.18906954935293394, 0.18992933274721743, 0.19088334855762051, 0.19194941419959136, 0.19315027176240249, 0.1945153609270846, 0.19608338818283938, 0.19790613127730672, 0.20005421147097635, 0.20262609595177203, 0.20576258541980799, 0.20967098272091092, 0.21466712095092649, 0.22125206258189783, 0.23026020080316012, 0.24316479904782728, 0.26275866499446404, 0.29480477549683287, 0.35234299294637544, 0.46630341410785242, 0.68455654420683365, 0.81496871175573948, 0.54396232748315998, 0.33981373824716438, 0.25519052785537832, 0.21911276099779958, 0.20253544550474356, 0.19506449152404423, 0.19290117287326433, 0.19506449152404104, 0.20253544550474731, 0.21911276099782265, 0.2551905278554063, 0.33981373824716493, 0.54396232748360618, 0.81496871175562924, 0.68455654420691014, 0.46630341410801346, 0.35234299294645366, 0.29480477549681489, 0.26275866499444672, 0.24316479904782567, 0.23026020080316198, 0.22125206258189614, 0.21466712095093057, 0.20967098272090745, 0.20576258541980152, 0.20262609595177269, 0.20005421147097854, 0.19790613127730664, 0.19608338818284018, 0.19451536092708388, 0.1931502717624021, 0.19194941419959122, 0.19088334855761974, 0.18992933274721807, 0.18906954935293346, 0.18828985839984066, 0.18757890463527313, 0.18692746852642425, 0.18632798773716633, 0.1857741997471847, 0.1852608717965355, 0.18478359460695626, 0.18433862324230391, 0.18392275319593304, 0.18353322307112357, 0.18316763752584678, 0.18282390579427096, 0.18250019227934824, 0.18219487657119321, 0.18190652087848774, 0.18163384332947907, 0.18137569595044345, 0.18113104639446756, 0.18089896269486841, 0.18067860047179252, 0.18046919213935089, 0.18027003775279946, 0.18008049720713154, 0.17989998355483172, 0.17972795725495239, 0.17956392120091241, 0.1794074164024593, 0.17925801821965673, 0.17911533306478672, 0.17897899550261379, 0.17884866569123203, 0.17872402711531857, 0.17860478457144247, 0.17849066237151637, 0.17838140273575873, 0.17827676435090997, 0.17817652107307169, 0.17808046075755501, 0.17798838420064414, 0.17790010418030158, 0.17781544458460596, 0.17773423961823345, 0.17765633307854364, 0.17758157769393529, 0.1775098345180364, 0.17744097237409803, 0.17737486734463259, 0.1773114023019165, 0.1772504664754917, 0.17719195505321902, 0.17713576881283907, 0.17708181378130591, 0.1770300009194572, 0.17698024582984034, 0.17693246848573244, 0.17688659297958662, 0.1768425472893162, 0.17680026306097985, 0.17675967540656412, 0.17672072271568559, 0.17668334648014236, 0.17664749113033806, 0.17661310388269391, 0.1765801345972407, 0.17654853564464518, 0.17651826178200597, 0.17648927003678883, 0.17646151959834455, 0.17643497171648223, 0.17640958960662781, 0.17638533836111916, 0.17636218486624861, 0.17634009772466616, 0.17631904718281499, 0.17629900506307852, 0.17627994470034763, 0.17626184088274346, 0.17624466979625181, 0.17622840897303566, 0.17621303724321963, 0.17619853468995864, 0.17618488260760007, 0.17617206346278846, 0.176160060858356, 0.17614885949986109, 0.17613844516464494, 0.17612880467329722, 0.17611992586341718, 0.17611179756557455, 0.17610440958138301, 0.17609775266360808, 0.17609181849823055, 0.17608659968840951, 0.17608208974027931, 0.17607828305053408, 0.17607517489575794, 0.1760727614234546, 0.17607103964475446, 0.17607000742876797, 0.17606966349856409, 0.17606983545128849, 0.17607035137356836, 0.17607121145774263, 0.17607241602443086, 0.1760739655226175, 0.17607586052977012, 0.17607810175198535, 0.17608069002417184, 0.17608362631026425, 0.1760869117034638, 0.17609054742651387, 0.17609453483199997, 0.17609887540268182, 0.17610357075184582, 0.17610862262368804, 0.1761140328937166, 0.176119803569178, 0.17612593678949989, 0.17613243482675578, 0.17613930008613676, 0.1761465351064464, 0.17615414256059567, 0.17616212525610855, 0.17617048613563166, 0.17617922827744237, 0.17618835489595319, 0.17619786934220674, 0.176207775104363, 0.17621807580816334, 0.1762287752173757, 0.17623987723421225, 0.17625138589971312, 0.17626330539408938, 0.17627564003701959, 0.17628839428789633, 0.17630157274600552, 0.17631518015064199, 0.1763292213811421, 0.17634370145683259, 0.17635862553688103, 0.17637399892003475, 0.17638982704424758, 0.17640611548616744, 0.17642286996048609, 0.17644009631912622, 0.17645780055026042, 0.1764759887771416, 0.17649466725672827, 0.17651384237809103, 0.17653352066057845, 0.17655370875172796, 0.17657441342489408, 0.17659564157658067, 0.17661740022344799, 0.17663969649897593, 0.17666253764975359, 0.17668593103137548, 0.17670988410390656, 0.17673440442689983, 0.17675949965392593, 0.17678517752658848, 0.17681144586799175, 0.17683831257562241, 0.17686578561361835, 0.17689387300437717, 0.17692258281947584, 0.17695192316985456, 0.17698190219523208, 0.17701252805270262, 0.17704380890448104, 0.17707575290474689, 0.17710836818554626, 0.17714166284170915, 0.17717564491473745, 0.17721032237561984, 0.17724570310653043, 0.17728179488137427, 0.17731860534513225, 0.17735614199197391, 0.17739441214209936, 0.1774334229172812, 0.17747318121507741, 0.17751369368168987, 0.17755496668346182, 0.17759700627699085, 0.17763981817787086, 0.17768340772805996, 0.1777277798619048, 0.17777293907084246, 0.17781888936684098, 0.17786563424462884, 0.17791317664280512, 0.17796151890393008, 0.17801066273371965, 0.17806060915950431, 0.17811135848811768, 0.1781629102634468, 0.17821526322387371, 0.17826841525989728, 0.17832236337226753, 0.17837710363098988, 0.17843263113562952, 0.17848893997737411, 0.17854602320339044, 0.17860387278405032, 0.17866247958367493, 0.17872183333551611, 0.17878192262174605, 0.17884273485931562, 0.1789042562926082, 0.17896647199389928, 0.17902936587269361, 0.17909292069511859, 0.17915711811460308, 0.17922193871517536, 0.17928736206876836, 0.17935336680801267, 0.17941993071605891, 0.17948703083503767, 0.17955464359482562, 0.1796227449638336, 0.17969131062358218, 0.1797603161688455, 0.17982973733518343, 0.17989955025566315, 0.1799697317485951, 0.1800402596380454, 0.18011111310888817, 0.18032544775393383, 0.1805421836902264, 0.18076125567901108, 0.18098305964400155, 0.18120864258570302, 0.18143992883239679, 0.18167998586634326, 0.18193333583576671, 0.18220632493636899, 0.18250757380061988, 0.18284855026575081, 0.18324433517911967, 0.18371469882428199, 0.18428568242998838, 0.18499201014083433, 0.18588089046030248, 0.18701820452088894, 0.18849894518365803, 0.19046558439865605, 0.19314209314662018, 0.19690108086615901, 0.20240722533418029, 0.21095608262182794, 0.22538571962498649, 0.25299002881947058, 0.31712656459114053, 0.50861896542381568, 0.70495978848182361, 0.30541632654354345, 0.19569938124240047, 0.16940137756688523, 0.16114031595308748, 0.15809813062761921, 0.15688241060579186, 0.15637275090104591, 0.15613953349913903, 0.15599999259962635, 0.15587017670879105, 0.15570895023929845, 0.15549472224837893, 0.15521510281597453, 0.1548621716910405, 0.15443050438516909, 0.15391694552629467, 0.15332215775568045, 0.15265506433984838, 0.15194336854123125, 0.15125848580230994, 0.15077795709505407, 0.15095591883087842, 0.15304911489287204, 0.16103959787398572, 0.19053043983686779, 0.32257566490882295, 0.78271799120407515, 0.56553949841459628, 0.35043843434659849, 0.27346480673589896, 0.23882788240359182, 0.2200271981298971, 0.20845615412389634, 0.20068261129950241, 0.19511273572571528, 0.19091852946987828, 0.18763165870940773, 0.18496901345939648, 0.18275008365853007, 0.1808546603939073, 0.17919978634386891, 0.17772655777765334, 0.17639228966272857, 0.17516578661840743, 0.17402455580558973, 0.17295338668767468, 0.17194409628567817, 0.1709965583679757, 0.17012153753991122, 0.16934653156641893, 0.16872718694176772, 0.16836983734920202, 0.16847776295236533, 0.16945173569114097, 0.17212537595540392, 0.17836957481089041, 0.19283083088775238, 0.22860906097773129, 0.32718219409837335, 0.59129528174013835, 0.7992586239077869, 0.57670836217821964, 0.40680780261635258, 0.32427696159243058, 0.28092514162596549, 0.25549545692293724, 0.23919068819557898, 0.22800127559264896, 0.2199096306243688, 0.21381256544666147, 0.20906464626596649, 0.20526681182400214, 0.2021608346448609, 0.19957315361186226, 0.1973833232148435, 0.19550545595000848, 0.19387686647029465, 0.19245087994392057, 0.19119213867907373, 0.19007345686518079, 0.18907366249548238, 0.18817608501311245, 0.18736747506311838, 0.18663721939149691, 0.18597676111986769, 0.18537916536852503, 0.18483878935942261, 0.18435102871830131, 0.18391212011775379, 0.18351898613464185, 0.18316911215737616, 0.18286044795753109, 0.18259132851624721, 0.18236041011862611, 0.18216661876602055, 0.18200910872004777, 0.18188722956125356, 0.18180050057450736, 0.18174859160132392, 0.18173130975518148, 0.18174282944126652, 0.18177741211126416, 0.1818351292510654, 0.1819161021830436, 0.18202050537173342, 0.18214857112729851, 0.18230059578677862, 0.18247694748247795, 0.18267807564164198, 0.18290452240336452, 0.18315693618956008, 0.18343608772944789, 0.18374288891451027, 0.18407841495753652, 0.18444393045056737, 0.18484092006938099, 0.18527112486618214, 0.18573658533973833, 0.18623969279056327, 0.18678325088070374, 0.18737054985481685, 0.18800545658505838, 0.18869252453730093, 0.189437129005703, 0.19024563464740632, 0.19112560464287742, 0.19208606396198613, 0.1931378336011603, 0.19429395882304448, 0.19557026320603144, 0.19698607296426779, 0.19856517449665864, 0.20033709556951415, 0.20233884191332802, 0.20461728446433441, 0.20723249158624316, 0.21026245848997016, 0.21380994298228542, 0.21801254434017533, 0.22305789143567117, 0.2292070820133881, 0.23683180556857703, 0.24647480023763144, 0.25895123055878039, 0.27552366432451197, 0.29821146337984933, 0.33034211301034921, 0.37749117133979526, 0.44872640704709826, 0.55598291139242362, 0.69919996395795603, 0.81125071608078814, 0.76099202538954913, 0.58687971920969595, 0.43228868028870315, 0.33421752471428307, 0.27630586606829882, 0.24165067530356499, 0.22017757977640046, 0.20638803663310909, 0.19726135136515288, 0.19108548469270031, 0.18685590675031141, 0.18396561078024504, 0.18204128108855647, 0.18085458025435866, 0.18027384751068787, 0.1802392145556824, 0.18075326357195548, 0.18188480749225752, 0.18378792938694583, 0.1867444535273371, 0.19124925058248757, 0.19818253176782538, 0.20917306222398013, 0.22740969756511878, 0.25956119657137999, 0.32037837909323902, 0.44126458269378999, 0.65463199621790213, 0.80816549254775405, 0.67123248547232683, 0.48599785925301375, 0.37348533365992076, 0.3107290417654831, 0.2739269236807233, 0.25086515939684756, 0.23553473215048126, 0.22483336147863067, 0.21705864624786037, 0.21122139598790252, 0.20671732759548, 0.20316105800987971, 0.20029756530805984, 0.19795264417917785, 0.19600397821562407, 0.19436360514462372, 0.19296693074033044, 0.19176564115875439, 0.19072300962121805, 0.18981071531676813, 0.18900664163647832, 0.18829332312857008, 0.18765683104831005, 0.18708596099343225, 0.18657163215143041, 0.18610643709012981, 0.18568430017443338, 0.18530021539113911, 0.18495004292486736, 0.18463034968920258, 0.18433828308765349, 0.18407147014415046, 0.18382793618511895, 0.18360603872833431, 0.1834044133084417, 0.18322192876134083, 0.18305765007966496, 0.1829108073950701, 0.18278076997926876, 0.18266702441261665, 0.1825691562666612, 0.18248683479990538, 0.18241980028494773, 0.18236785367796421, 0.18233084841440064, 0.18230868417238874, 0.1823013024915181], [0.18755827712140469, 0.18757447191438154, 0.1876231365921846, 0.18770451513605535, 0.18781902459428515, 0.18796727117040996, 0.18815007372538367, 0.18836849577299444, 0.18862388751284956, 0.18891794005344525, 0.18925275479451653, 0.18963093205741102, 0.19005568461445765, 0.19053098398361273, 0.19106175054642913, 0.1916541032217505, 0.19231569139229446, 0.1930561423525419, 0.19388767391769304, 0.19482594775107695, 0.19589128100381972, 0.19711040389583903, 0.19851907109611194, 0.20016604821321068, 0.20211938836042759, 0.20447667193824484, 0.20738241786611197, 0.21105916879450487, 0.215866324124038, 0.22241968167119669, 0.23185668905950957, 0.24649447272519098, 0.27171501369843398, 0.32245286754938074, 0.4496178782217724, 0.75034971045974785, 0.47328439773349396, 0.23610081957150816, 0.18668120919810507, 0.1746456555350151, 0.17178554287086767, 0.17171053310321938, 0.17257425203646795, 0.173751827108961, 0.17501204303415469, 0.1762672803671132, 0.17748679368273573, 0.17866348349105407, 0.17980022624952108, 0.18090397581581386, 0.18198315145341631, 0.1830464780573782, 0.18410248343492247, 0.1851592907686718, 0.18622453393716343, 0.18730530913367269, 0.1884081156394202, 0.18953875651372093, 0.19070217770971373, 0.19190222731722067, 0.19314131849106714, 0.19441998252293385, 0.19573630475800366, 0.19708524818533321, 0.19845789025527064, 0.19984063009542133, 0.20121446639020429, 0.20255449750092078, 0.20382984518384348, 0.20500423319704655, 0.20603743601493002, 0.20688772320154913, 0.20751524650498956, 0.2078860650209628, 0.20797623860725864, 0.20777523877740714, 0.20728792991501377, 0.2065346101360741, 0.20554902391037982, 0.20437473057082689, 0.20306056657675298, 0.20165605937006711, 0.20020752551405308, 0.1987552995495489, 0.19733221635736162, 0.19596321102709763, 0.19466575429298624, 0.19345080442789309, 0.19232399430056737, 0.19128684546630068, 0.19033787894993121, 0.18947355741887503, 0.18868903965401893, 0.18797875651541607, 0.18733683196186207, 0.18675737766006156, 0.18623468915435501, 0.18576336823174203, 0.18533839177769554, 0.184955143079363, 0.18460941768301209, 0.18429741272831593, 0.18401570616880719, 0.18376123037074077, 0.18353124315853636, 0.18332329834010361, 0.18313521700801319, 0.18296506039681165, 0.18281110472328518, 0.18267181819952069, 0.18254584025425541, 0.18243196290130576, 0.18232911413682809, 0.1822363432169497, 0.18215280765484596, 0.182077761775328, 0.18201054667110134, 0.18195058141505904, 0.18189735539538393, 0.18185042165349155, 0.18180939111818231, 0.18177392764227399, 0.181743743760203, 0.18171859709645824, 0.18169828736525917, 0.18168265391161059, 0.18167157375284576, 0.1816649600881077, 0.18166276125101113, 0.18166312395709205, 0.18166421252504636, 0.18166602830486239, 0.18166857354936819, 0.18167185141851699, 0.18167586598540422, 0.18168062224404299, 0.1816861261189221, 0.18169238447638125, 0.18169940513784708, 0.18170719689497308, 0.18171576952674071, 0.18172513381858671, 0.18173530158361428, 0.18174628568598714, 0.18175810006656798, 0.18177075977091867, 0.18178428097975047, 0.18179868104195157, 0.18181397851031025, 0.18183019318007021, 0.18184734613047859, 0.1818654597694743, 0.18188455788170571, 0.18190466568006428, 0.1819258098609462, 0.18194801866346641, 0.18197132193287177, 0.18199575118842498, 0.1820213396960412, 0.1820481225460005, 0.18207613673607259, 0.18210542126042889, 0.18213601720474351, 0.18216796784792288, 0.1822013187709442, 0.18223611797332095, 0.18227241599776572, 0.18231026606366418, 0.18234972421004683, 0.18239084944878986, 0.18243370392885674, 0.18247835311247235, 0.18252486596419984, 0.18257331515399267, 0.18262377727540233, 0.18267633308023695, 0.18273106773111225, 0.18278807107347406, 0.18284743792885794, 0.18290926841133798, 0.18297366826933281, 0.18304074925519792, 0.18311062952530266, 0.18318343407363188, 0.18325929520230613, 0.18333835303285545, 0.18342075606256414, 0.18350666177077335, 0.1835962372806885, 0.18368966008299981, 0.18378711882851886, 0.18388881419806702, 0.18399495985908904, 0.18410578351989529, 0.18422152809413486, 0.18434245299013768, 0.18446883554213428, 0.18460097260326139, 0.1847391823236636, 0.18488380614115518, 0.1850352110168742, 0.18519379195440153, 0.18535997484817163, 0.18553421971594078, 0.1857170243810943, 0.18590892868407471, 0.18611051931893169, 0.18632243541173657, 0.18654537498346266, 0.1867801024723055, 0.18702745753119368, 0.18728836536776508, 0.18756384895962427, 0.18785504356146726, 0.18816321402836531, 0.18848977561883404, 0.18883631912272997, 0.1892046413968432, 0.18959678270512528, 0.19001507267854995, 0.19046218727063471, 0.19094121984449658, 0.1914557705662111, 0.19201005971460425, 0.19260907252283066, 0.19325874600244117, 0.19396621226206676, 0.19474011873299607, 0.19559105441664795, 0.19653212431980843, 0.19757973417038019, 0.19875467853637049, 0.20008367484224601, 0.20160156621197647, 0.20335455058095744, 0.20540502507570829, 0.2078390463462087, 0.2107781664151572, 0.21439886061507551, 0.21896569356038867, 0.22489057596167294, 0.2328444271874735, 0.24398117439392031, 0.26042131014662334, 0.28638722193926058, 0.33110778271090402, 0.4165089687904584, 0.58994801651395168, 0.81822649905131051, 0.65697735793126366, 0.38858488666932756, 0.27179350832998728, 0.22467180929076305, 0.20368887343723671, 0.19368627367458863, 0.18907542363442245, 0.18772636128481357, 0.18907542363442006, 0.19368627367459093, 0.20368887343725062, 0.22467180929077843, 0.27179350832999116, 0.38858488666960933, 0.65697735793101508, 0.81822649905132894, 0.5899480165141886, 0.41650896879058003, 0.33110778271087715, 0.28638722193923788, 0.26042131014662162, 0.24398117439392231, 0.23284442718747109, 0.22489057596167791, 0.21896569356038426, 0.21439886061506813, 0.21077816641515798, 0.2078390463462112, 0.20540502507570813, 0.20335455058095842, 0.20160156621197572, 0.20008367484224554, 0.19875467853637041, 0.19757973417037933, 0.19653212431980918, 0.19559105441664734, 0.19474011873299599, 0.19396621226206764, 0.19325874600244064, 0.19260907252283069, 0.19201005971460475, 0.19145577056621144, 0.19094121984449655, 0.19046218727063441, 0.19001507267854972, 0.18959678270512545, 0.18920464139684307, 0.18883631912273041, 0.18848977561883434, 0.188163214028365, 0.18785504356146754, 0.18756384895962436, 0.18728836536776466, 0.18702745753119357, 0.18678010247230559, 0.18654537498346291, 0.18632243541173671, 0.18611051931893199, 0.18590892868407494, 0.18571702438109383, 0.18553421971594047, 0.18535997484817177, 0.18519379195440155, 0.18503521101687392, 0.18488380614115538, 0.18473918232366357, 0.18460097260326105, 0.184468835542134, 0.18434245299013732, 0.18422152809413495, 0.18410578351989518, 0.18399495985908937, 0.18388881419806699, 0.18378711882851897, 0.18368966008299975, 0.18359623728068836, 0.18350666177077321, 0.18342075606256436, 0.18333835303285545, 0.18325929520230594, 0.18318343407363194, 0.18311062952530291, 0.18304074925519828, 0.18297366826933284, 0.18290926841133795, 0.18284743792885796, 0.18278807107347378, 0.18273106773111233, 0.18267633308023723, 0.18262377727540219, 0.1825733151539925, 0.18252486596419973, 0.18247835311247237, 0.1824337039288568, 0.18239084944878989, 0.18234972421004672, 0.18231026606366388, 0.18227241599776567, 0.18223611797332109, 0.18220131877094417, 0.18216796784792266, 0.18213601720474357, 0.18210542126042911, 0.1820761367360727, 0.18204812254600017, 0.18202133969604112, 0.18199575118842459, 0.18197132193287166, 0.18194801866346647, 0.18192580986094628, 0.18190466568006403, 0.18188455788170563, 0.18186545976947416, 0.1818473461304784, 0.18183019318007054, 0.18181397851031009, 0.1817986810419519, 0.18178428097975066, 0.18177075977091869, 0.18175810006656795, 0.18174628568598725, 0.18173530158361476, 0.18172513381858657, 0.18171576952674104, 0.18170719689497306, 0.18169940513784705, 0.18169238447638139, 0.18168612611892199, 0.18168062224404299, 0.18167586598540439, 0.18167185141851683, 0.18166857354936833, 0.18166602830486253, 0.18166421252504655, 0.18166312395709217, 0.18166276125101066, 0.18166294259093901, 0.18166348667817592, 0.18166439371509788, 0.18166566403905682, 0.18166729812247076, 0.18166929657294961, 0.18167166013345096, 0.18167438968247587, 0.18167748623429653, 0.18168095093921433, 0.18168478508385341, 0.18168899009148165, 0.18169356752236601, 0.18169851907414922, 0.18170384658225991, 0.1817095520203432, 0.1817156375007182, 0.18172210527485233, 0.18172895773385994, 0.18173619740900995, 0.18174382697225699, 0.18175184923677498, 0.18176026715750221, 0.18176908383169182, 0.18177830249946092, 0.18178792654433862, 0.18179795949380342, 0.18180840501981455, 0.18181926693932063, 0.18183054921474864, 0.18184225595446657, 0.18185439141321064, 0.18186695999247265, 0.18187996624083949, 0.18189341485428101, 0.18190731067637095, 0.18192165869844096, 0.18193646405965092, 0.18195173204697249, 0.18196746809507214, 0.18198367778607905, 0.18200036684923804, 0.18201754116041916, 0.18203520674148455, 0.18205336975948869, 0.18207203652570453, 0.18209121349445476, 0.18211090726173246, 0.18213112456359445, 0.18215187227430726, 0.18217315740422815, 0.1821949870973959, 0.18221736862881385, 0.1822403094013979, 0.18226381694256824, 0.18228789890045533, 0.18231256303969834, 0.18233781723679809, 0.18236366947500701, 0.18239012783871447, 0.18241720050730012, 0.1824448957484204, 0.18247322191069007, 0.1825021874157286, 0.18253180074952477, 0.18256207045308842, 0.182593005112342, 0.18262461334721797, 0.18265690379990915, 0.18268988512224135, 0.18272356596211328, 0.18275795494896466, 0.18279306067822845, 0.18282889169471994, 0.18286545647492017, 0.18290276340810852, 0.18294082077630699, 0.18297963673298873, 0.18301921928051851, 0.18305957624628677, 0.18310071525750857, 0.18314264371465849, 0.18318536876351718, 0.18322889726582486, 0.18327323576851984, 0.18331839047157755, 0.1833643671944522, 0.18341117134115195, 0.18345880786397681, 0.18350728122598406, 0.18355659536223784, 0.18360675363994466, 0.18365775881757973, 0.18370961300314131, 0.1837623176117042, 0.18381587332245017, 0.18387028003542411, 0.18392553682826179, 0.1839816419131983, 0.18403859259471073, 0.18409638522817565, 0.18415501518000185, 0.18421447678972272, 0.18427476333461884, 0.18433586699748233, 0.18439777883821157, 0.18446048876999888, 0.18452398554092955, 0.1845882567219051, 0.18465328870187286, 0.18471906669143395, 0.18478557473596494, 0.18485279573950528, 0.18492071150071154, 0.18498930276229636, 0.1850585492754227, 0.18512842988062916, 0.18519892260692142, 0.1852700047907431, 0.18534165321660295, 0.18541384428118662, 0.18548655418284127, 0.18555975913833908, 0.18563343562887141, 0.18570756067721697, 0.18578211215805016, 0.18585706914331021, 0.18593241228455196, 0.18616059798512558, 0.18639181080604117, 0.18662608168944883, 0.18686394761357683, 0.18710665705574303, 0.18735641602257072, 0.18761667923170391, 0.18789249464977878, 0.18819091691025344, 0.18852151814878843, 0.18889704644539307, 0.18933431711125046, 0.18985547893416616, 0.19048989213295051, 0.19127701860952404, 0.19227102243884714, 0.19354834627445289, 0.19522067340549021, 0.19745813169897602, 0.20053319689952806, 0.2049096591961572, 0.21143911721040437, 0.22184540849248158, 0.24010320118676065, 0.27717874163329459, 0.3713850934451402, 0.64811349525322881, 0.5342987557311254, 0.24819369332105998, 0.18639600126871769, 0.16994771405960474, 0.16447398037958977, 0.16242951849021769, 0.16163104221591634, 0.16131499003391511, 0.16117783599593291, 0.16108762447742875, 0.16098300439316887, 0.16083367931586626, 0.16062355186349675, 0.16034310050103892, 0.15998586376581195, 0.15954699714962772, 0.15902319700494733, 0.15841407774992391, 0.15772596635598238, 0.15698076064321645, 0.1562366397951363, 0.15563898528967746, 0.15555605523073954, 0.1569833984716025, 0.16295121646293825, 0.1845950849230765, 0.27537619937431945, 0.66691275488519974, 0.66613484932566669, 0.39424602465910935, 0.29552054688344648, 0.25321367570398673, 0.2310501355555962, 0.21773962705631802, 0.20895392134066021, 0.20274212605701178, 0.1981133770950293, 0.19451693902872963, 0.19162447609628738, 0.1892289700447114, 0.18719379808904882, 0.18542533892959609, 0.18385743853247677, 0.18244223916532099, 0.18114463188259311, 0.17993891767440198, 0.17880695447656464, 0.17773747925653249, 0.17672660825955522, 0.1757798648119398, 0.17491662168415031, 0.1741788678690796, 0.17364838196980384, 0.17348137854619206, 0.17398200310804987, 0.17576903447991959, 0.18018729217574969, 0.19043419971426045, 0.21504512549091076, 0.27991711248000506, 0.4632076152713428, 0.77709717004049605, 0.6819392816825105, 0.46883327924789209, 0.35874983171668251, 0.30297856515085753, 0.27149050607722225, 0.2519041639067584, 0.23877228639108838, 0.22944610150906844, 0.22251844740288249, 0.21718531839925587, 0.21295921165612985, 0.20952973891572313, 0.20669109656322157, 0.20430209880531591, 0.20226305418107574, 0.20050181593275004, 0.19896505673900425, 0.19761263621585651, 0.19641386253196799, 0.19534494930681087, 0.19438724711461153, 0.19352598903422596, 0.19274938468514105, 0.1920479551095006, 0.1914140370526255, 0.19084140832247382, 0.19032500099372707, 0.18986067924852937, 0.18944506542676706, 0.18907540251933083, 0.18874944458928269, 0.18846536890637003, 0.18822170522917786, 0.18801727886558889, 0.18785116502039767, 0.18772265259089216, 0.18763121606133226, 0.1875764945210105, 0.18755827712140469, 0.18757042037941554, 0.18760687612536203, 0.18766772298806592, 0.18775309440431739, 0.18786318224412948, 0.18799824197243595, 0.18815859943873156, 0.18834465941981177, 0.18855691608068892, 0.18879596556682407, 0.18906252099945395, 0.18935743021811993, 0.18968169670430776, 0.19003650423241514, 0.19042324593559634, 0.19084355865289909, 0.19129936365208661, 0.19179291511470645, 0.19232685814734307, 0.19290429857367339, 0.19352888740498039, 0.19420492373633316, 0.19493748094745181, 0.19573256260893859, 0.19659729655948613, 0.19754017845023572, 0.19857137997371976, 0.19970314248836415, 0.20095028453845676, 0.20233086295444752, 0.20386704350038032, 0.20558626108503927, 0.20752278563687604, 0.20971986479876309, 0.21223270013504564, 0.21513264904513218, 0.21851326377094912, 0.22249914151681441, 0.22725917420924588, 0.23302685455898325, 0.24013220136172095, 0.24905335995852387, 0.26050249004325088, 0.27557306287138178, 0.29599944736806827, 0.32462183130260025, 0.36620292988293657, 0.42866638074186642, 0.52364635572623697, 0.65825708252845316, 0.79133938830176864, 0.79040214146359078, 0.62981652204961069, 0.46102757131616168, 0.35023473864221522, 0.28534740477109277, 0.24723977608285805, 0.22408077330585505, 0.20946077649075062, 0.1999165427501931, 0.19351810154767535, 0.18914878309019822, 0.18613956356442371, 0.18407842652105544, 0.18270777365920599, 0.18186781205363528, 0.18146519855992002, 0.18145665704122965, 0.1818427423051891, 0.18267025897300002, 0.18404465864290623, 0.18615741684915316, 0.18934004949213559, 0.19417068674591301, 0.20169267439164479, 0.21388944057525819, 0.2347863291009854, 0.27315856150669526, 0.34907816525145902, 0.50303498185529993, 0.73743905831832535, 0.78164939579378601, 0.58922995863123295, 0.4335742363458383, 0.34637308644522807, 0.29731088080161228, 0.2678104169917761, 0.24885513362726711, 0.23597538545532121, 0.2268158453996392, 0.22005541310840782, 0.21491070939236773, 0.21089443863720489, 0.20769083180718595, 0.20508798142794166, 0.20293933240132372, 0.20114085086894257, 0.19961699265042659, 0.19831180188732458, 0.1971831032872032, 0.19619861679655595, 0.19533329946954384, 0.1945674898739323, 0.1938855888789135, 0.1932751060754313, 0.19272595993943545, 0.19222995698705203, 0.19178039909086003, 0.1913717838269508, 0.19099957320890662, 0.19066001328276966, 0.1903499919616094, 0.19006692590536509, 0.18980866967807636, 0.18957344215390737, 0.1893597664048039, 0.18916642022760924, 0.18899239515382543, 0.18883686229795527, 0.18869914378740638, 0.18857868881146259, 0.18847505355254146, 0.18838788443693666, 0.18831690427712636, 0.18826190098265608, 0.18822271859873163, 0.18819925049636396, 0.18819143458946497], [0.19353400700714132, 0.1935510646044446, 0.1936023240918297, 0.19368804891346264, 0.19380868948062455, 0.19396490069883671, 0.19415756759320996, 0.19438784023268799, 0.19465717967371718, 0.19496741732571102, 0.19532083105910636, 0.19572024263999319, 0.19616914284411743, 0.19667185312066993, 0.19723373631813654, 0.19786147434105439, 0.19856343862521328, 0.19935019155200939, 0.20023517597377075, 0.2012356803676216, 0.20237421668915911, 0.2036805311821408, 0.20519461241373949, 0.20697131892679946, 0.20908773009490061, 0.21165526205610768, 0.21484051762991341, 0.21890304386745665, 0.22426802623866923, 0.23167711652734058, 0.24253192896498013, 0.2597746231017532, 0.29051642482049378, 0.35548497480452967, 0.5255265104818474, 0.77323860864036265, 0.37471333082844299, 0.22035246210328729, 0.18697437395073668, 0.17861595064261163, 0.17686558150863524, 0.1772003266826154, 0.17824248026854539, 0.17951149193076985, 0.18082760917707397, 0.18212366604756897, 0.18337776373642684, 0.18458691685908887, 0.18575606042985848, 0.1868932748612136, 0.18800767495739915, 0.1891084848982148, 0.19020465005791315, 0.19130468697658529, 0.19241662762335543, 0.19354798443720117, 0.1947056947766454, 0.19589601762185091, 0.19712436103507977, 0.19839502074278789, 0.19971081111895861, 0.20107257212995366, 0.20247854187433759, 0.20392359707121485, 0.20539838642075439, 0.20688841708925856, 0.20837320379520394, 0.20982564996216255, 0.21121189051414102, 0.21249186519569171, 0.21362087895887669, 0.214552308286629, 0.21524140901962704, 0.21564988796152609, 0.21575058612738357, 0.21553140205140037, 0.21499758070531777, 0.21417176771704985, 0.21309172561273179, 0.21180616449615924, 0.21036955278120728, 0.20883690714371214, 0.20725940440020951, 0.20568131549211305, 0.20413838211965057, 0.20265745974816407, 0.20125708979005488, 0.1999486299709789, 0.19873762286981644, 0.19762517113238409, 0.19660917858142091, 0.19568539033481086, 0.19484821621769707, 0.19409135211590259, 0.19340822855789369, 0.19279232014507797, 0.19223734789679009, 0.19173740223236577, 0.19128700909849258, 0.19088115671704486, 0.19051529606044496, 0.19018532460710469, 0.18988756016134567, 0.18961870943536566, 0.18937583455743187, 0.18915631956785259, 0.18895783818700471, 0.18877832360222149, 0.18861594065654474, 0.18846906058211024, 0.18833623826742113, 0.18821619195413619, 0.1881077852061053, 0.18801001096765477, 0.18792197752008535, 0.18784289614847238, 0.18777207034069102, 0.18770888635411118, 0.18765280500070963, 0.18760335451710888, 0.18756012440154096, 0.18752276011448227, 0.18749095855349951, 0.18746446422557703, 0.18744306605190628, 0.18742659475084478, 0.18741492075460911, 0.18740795262438167, 0.18740563593699616, 0.18740601806685653, 0.18740716493135187, 0.18740907795613351, 0.18741175952031816, 0.18741521296104968, 0.18741944257990434, 0.18742445365116858, 0.18743025243201475, 0.18743684617461259, 0.18744424314022265, 0.18745245261531882, 0.18746148492980119, 0.1874713514773684, 0.18748206473811435, 0.18749363830345039, 0.18750608690342666, 0.1875194264365711, 0.18753367400234852, 0.1875488479363708, 0.18756496784848994, 0.18758205466391964, 0.18760013066755826, 0.18761921955167371, 0.18763934646715313, 0.18766053807852082, 0.18768282262295136, 0.18770622997352293, 0.18773079170697685, 0.18775654117627716, 0.18778351358827755, 0.18781174608684353, 0.1878412778417986, 0.18787215014409736, 0.18790440650766657, 0.18793809277838913, 0.18797325725075589, 0.18800995079274874, 0.18804822697957696, 0.18808814223693832, 0.18812975599455256, 0.18817313085076853, 0.18821833274913394, 0.18826543116790223, 0.18831449932354305, 0.18836561438943211, 0.18841885773101791, 0.18847431515888985, 0.1885320772013355, 0.18859223939812683, 0.18865490261748502, 0.18872017339837802, 0.18878816432055251, 0.1888589944049841, 0.18893278954774306, 0.1890096829906435, 0.18908981583245024, 0.18917333758490701, 0.18926040677839373, 0.18935119162266115, 0.18944587072883329, 0.1895446338997257, 0.18964768299653734, 0.18975523289113852, 0.18986751251457579, 0.189984766014031, 0.1901072540323954, 0.19023525512692366, 0.19036906734612175, 0.19050900998731338, 0.19065542556119272, 0.19080868199439577, 0.19096917510677913, 0.19113733140697656, 0.19131361125819893, 0.19149851247645452, 0.1916925744359684, 0.19189638277205137, 0.19211057479085586, 0.19233584571929502, 0.19257295595818777, 0.1928227395390435, 0.19308611403205278, 0.19336409221256809, 0.19365779586950785, 0.19396847223670427, 0.1942975136540539, 0.19464648122862088, 0.19501713347917046, 0.19541146122828371, 0.1958317303783173, 0.19628053470487403, 0.19676086147202274, 0.19727617358618538, 0.19783051326012704, 0.19842863390173734, 0.19907616939284711, 0.19977985341177076, 0.20054780648684573, 0.20138991583894339, 0.2023183440371368, 0.20334821909296158, 0.20449858423008838, 0.20579372590411682, 0.20726506363875113, 0.20895389261124464, 0.210915452274409, 0.21322511370993946, 0.2159880574871427, 0.21935490512592723, 0.22354791603548976, 0.22890680857578807, 0.23597300404357233, 0.24565385538690157, 0.25956565829086103, 0.28081001634971264, 0.31589374729425412, 0.37983319990682879, 0.50837868107748529, 0.74203632427529975, 0.77890796472183044, 0.47103979468948853, 0.30215183665415835, 0.23682738603862241, 0.20937110358519345, 0.19659589081507819, 0.19032554507309535, 0.18738731363084496, 0.1865214620197739, 0.18738731363084363, 0.19032554507309629, 0.19659589081508641, 0.20937110358520294, 0.23682738603862497, 0.30215183665431006, 0.47103979468930207, 0.77890796472174184, 0.74203632427554855, 0.50837868107765993, 0.37983319990678799, 0.3158937472942227, 0.28081001634971042, 0.25956565829086364, 0.2456538553868991, 0.23597300404357832, 0.22890680857578299, 0.22354791603548119, 0.21935490512592803, 0.21598805748714553, 0.21322511370993946, 0.21091545227440997, 0.20895389261124392, 0.20726506363875058, 0.20579372590411663, 0.2044985842300874, 0.20334821909296236, 0.20231834403713619, 0.20138991583894333, 0.2005478064868467, 0.19977985341177018, 0.19907616939284709, 0.19842863390173784, 0.19783051326012727, 0.19727617358618529, 0.19676086147202237, 0.19628053470487389, 0.19583173037831753, 0.19541146122828359, 0.19501713347917102, 0.19464648122862127, 0.19429751365405357, 0.19396847223670458, 0.19365779586950796, 0.19336409221256773, 0.19308611403205261, 0.19282273953904358, 0.19257295595818796, 0.1923358457192951, 0.19211057479085614, 0.19189638277205157, 0.19169257443596799, 0.19149851247645427, 0.19131361125819907, 0.19113733140697647, 0.19096917510677885, 0.19080868199439605, 0.19065542556119269, 0.19050900998731302, 0.19036906734612138, 0.1902352551269233, 0.19010725403239542, 0.18998476601403091, 0.18986751251457612, 0.18975523289113849, 0.18964768299653753, 0.18954463389972567, 0.18944587072883312, 0.18935119162266101, 0.18926040677839398, 0.18917333758490704, 0.18908981583245005, 0.18900968299064355, 0.18893278954774331, 0.18885899440498452, 0.18878816432055245, 0.18872017339837802, 0.18865490261748497, 0.18859223939812653, 0.18853207720133555, 0.18847431515889015, 0.18841885773101777, 0.18836561438943197, 0.18831449932354294, 0.18826543116790229, 0.18821833274913408, 0.18817313085076859, 0.18812975599455242, 0.18808814223693804, 0.18804822697957696, 0.18800995079274879, 0.18797325725075589, 0.18793809277838885, 0.18790440650766654, 0.18787215014409753, 0.18784127784179877, 0.18781174608684328, 0.18778351358827744, 0.18775654117627685, 0.18773079170697674, 0.18770622997352301, 0.18768282262295152, 0.18766053807852057, 0.18763934646715302, 0.18761921955167352, 0.18760013066755818, 0.18758205466392, 0.18756496784848981, 0.18754884793637111, 0.1875336740023488, 0.18751942643657113, 0.18750608690342657, 0.1874936383034505, 0.18748206473811482, 0.18747135147736829, 0.18746148492980141, 0.18745245261531879, 0.18744424314022268, 0.18743684617461268, 0.18743025243201469, 0.18742445365116858, 0.18741944257990442, 0.18741521296104952, 0.18741175952031822, 0.18740907795613365, 0.18740716493135204, 0.18740601806685661, 0.18740563593699569, 0.18740582698805125, 0.18740640021211769, 0.18740735582191614, 0.18740869417204351, 0.18741041575906903, 0.18741252122166807, 0.18741501134078883, 0.18741788703986043, 0.18742114938503571, 0.18742479958546684, 0.18742883899361829, 0.18743326910560942, 0.18743809156159344, 0.18744330814616056, 0.18744892078877506, 0.18745493156423718, 0.18746134269317088, 0.18746815654253263, 0.18747537562614563, 0.18748300260524361, 0.18749104028904129, 0.18749949163530766, 0.18750835975095279, 0.18751764789262063, 0.18752735946728225, 0.18753749803282815, 0.18754806729865162, 0.18755907112622616, 0.18757051352966056, 0.18758239867623522, 0.18759473088691142, 0.18760751463680569, 0.18762075455562405, 0.18763445542804594, 0.18764862219405909, 0.18766325994922273, 0.18767837394486472, 0.18769396958819179, 0.18771005244231195, 0.18772662822615302, 0.18774370281426361, 0.18776128223649535, 0.18777937267753789, 0.18779798047630786, 0.18781711212516516, 0.18783677426895065, 0.18785697370382282, 0.18787771737587727, 0.18789901237953216, 0.18792086595565743, 0.18794328548943265, 0.18796627850790323, 0.18798985267722024, 0.18801401579953378, 0.18803877580951908, 0.18806414077050351, 0.18809011887017377, 0.18811671841582156, 0.18814394782911281, 0.18817181564033447, 0.18820033048209253, 0.18822950108242451, 0.18825933625728727, 0.18828984490238951, 0.18832103598431943, 0.18835291853093808, 0.1883855016209865, 0.18841879437287479, 0.18845280593259733, 0.18848754546074159, 0.18852302211853741, 0.18855924505290267, 0.18859622338044388, 0.18863396617036182, 0.18867248242621826, 0.18871178106651984, 0.18875187090407994, 0.18879276062411063, 0.18883445876101365, 0.18887697367383025, 0.18892031352032387, 0.18896448622966608, 0.18900949947370335, 0.18905536063680162, 0.18910207678424903, 0.1891496546292355, 0.18919810049841312, 0.18924742029607641, 0.18929761946699158, 0.18934870295795078, 0.18940067517811188, 0.18945353995823433, 0.18950730050892814, 0.18956195937806064, 0.18961751840750754, 0.18967397868943986, 0.18973134052241103, 0.18978960336750969, 0.18984876580490712, 0.18990882549117613, 0.18996977911778865, 0.1900316223712786, 0.19009434989558968, 0.19015795525721052, 0.19022243091374869, 0.19028776818667384, 0.19035395723903931, 0.19042098705904997, 0.19048884545044426, 0.19055751903073245, 0.19062699323842605, 0.19069725235046459, 0.19076827951116429, 0.19084005677407126, 0.19091256515822147, 0.19098578472037056, 0.1910596946448648, 0.19113427335289379, 0.19120949863294628, 0.19128534779436185, 0.1913617978459316, 0.19143882570156345, 0.19151640841505518, 0.19159452344607258, 0.19167314895942536, 0.19175226415976923, 0.19183184966382244, 0.19191188791219727, 0.19215458071869709, 0.19240099519985926, 0.19265127302452001, 0.19290611109903147, 0.19316698400212898, 0.19343641175750997, 0.19371827912795175, 0.19401821712728362, 0.1943440662478137, 0.19470645637419307, 0.19511956411782877, 0.19560215035227707, 0.19617904983852674, 0.19688340158651424, 0.19776011405441926, 0.19887143849983807, 0.20030626082388209, 0.20219623692085265, 0.20474520972730922, 0.20828613792427941, 0.2133997492004909, 0.22118611008851988, 0.23396571668332972, 0.25739915604135277, 0.30835436668967969, 0.44984370483083463, 0.74331619476084243, 0.38379440621100236, 0.21919623600202598, 0.18272059666299006, 0.17213218059804597, 0.16848153556239615, 0.167130334736145, 0.16663303963765122, 0.16645989788960328, 0.16639427755177003, 0.1663405475421979, 0.16625395913244048, 0.16611233935001565, 0.16590376519066335, 0.16562090911837116, 0.16525841744603484, 0.16481185751901536, 0.16427774090463562, 0.16365474147328385, 0.16294694002900756, 0.16217130681961761, 0.16137498609424836, 0.16067711294789969, 0.16037776064691342, 0.16127270011392658, 0.16570149743842641, 0.18179299943732585, 0.24565253840827606, 0.53742287398980182, 0.75981104570834912, 0.44798629621872832, 0.32107948458964908, 0.26912307176975486, 0.24290195866900244, 0.22755795656622349, 0.21761620064713416, 0.21068396733193173, 0.20557412000013753, 0.20163867249746797, 0.19849680426272909, 0.19591116077035972, 0.19372656099754676, 0.19183746156257492, 0.1901696975336615, 0.18866977688039302, 0.18729841192499477, 0.18602658014130738, 0.18483322656698234, 0.18370418529076932, 0.18263221930729878, 0.1816183893580097, 0.18067539814845984, 0.17983433914382088, 0.17915788579145464, 0.17876654107110959, 0.17889316223460525, 0.18000323894758374, 0.18308139931599479, 0.19038206419887821, 0.20763449414001589, 0.25134305112491312, 0.37316010341471761, 0.66574495246072318, 0.77215302000168129, 0.54625180994364575, 0.40104377181328876, 0.32874715531262577, 0.28945396862686512, 0.26578850743208898, 0.25031382163669347, 0.23953451223086311, 0.23164826685402468, 0.225650502884475, 0.2209444072318571, 0.21715636984631453, 0.21404214933736551, 0.21143618187640573, 0.20922274737772997, 0.2073188283417787, 0.20566352422550649, 0.20421129393942694, 0.20292751479061943, 0.20178548773916691, 0.20076437109649875, 0.19984772515099902, 0.19902246780699345, 0.19827811232842035, 0.19760620225843614, 0.19699988646570893, 0.19645359531941586, 0.19596279091185856, 0.19552377225697065, 0.19513352186620309, 0.1947895839013144, 0.19448996677747366, 0.19423306499772491, 0.19401759637812729, 0.19384255183064755, 0.19370715561641835, 0.19361083454068026, 0.19355319498561435, 0.19353400700714132, 0.19354679717970852, 0.19358519618440356, 0.19364929026284386, 0.19373922576666006, 0.19385521312888923, 0.19399753252233115, 0.19416654130918648, 0.19436268342477225, 0.19458650088379292, 0.19483864765276057, 0.19511990619956562, 0.19543120711453621, 0.19577365230110957, 0.19614854236443544, 0.19655740899063864, 0.19700205331831733, 0.1974845915710888, 0.19800750956394814, 0.19857372814245139, 0.19918668219674798, 0.19985041666039127, 0.20056970392381349, 0.20135018845891525, 0.20219856629956798, 0.20312280954717585, 0.20413244955440063, 0.20523893730175946, 0.20645610634585948, 0.20780077353144744, 0.20929352687809849, 0.21095977095039087, 0.21283113121013236, 0.21494736617179172, 0.21735900926578819, 0.22013107735538973, 0.22334836769628999, 0.22712316875769362, 0.23160672101965582, 0.23700664473830135, 0.24361411171627173, 0.25184737631503457, 0.26232357890441699, 0.27598083005642426, 0.29429193276589821, 0.31964686735158748, 0.35603601653832667, 0.41017399332846988, 0.49262260338624525, 0.61426030163615108, 0.75695037658284903, 0.80933269065064239, 0.68066165478086249, 0.5002329695047556, 0.37315751095940014, 0.2985724186143987, 0.25551292688730209, 0.22987483358552768, 0.21399769551868469, 0.20380371696780777, 0.19706087882160203, 0.19249899923957856, 0.18936708152166445, 0.18720615820368125, 0.1857286243518593, 0.18475197660514789, 0.18416154897464959, 0.18388953387482626, 0.18390387406980183, 0.18420397557189402, 0.18482229367795874, 0.18583263958289392, 0.18736837291516859, 0.18965773443169051, 0.19309208170307268, 0.19836224708324141, 0.20674612252700542, 0.22075662833737381, 0.24570845476769723, 0.29370276516766558, 0.39291610027389534, 0.58994398402700476, 0.7983641027530668, 0.70753567718365373, 0.51309455680479132, 0.39198857431956141, 0.32564789337676003, 0.28740943289603044, 0.26373275265467355, 0.24811456986824265, 0.23726424903912005, 0.22940318529234624, 0.22350944404359468, 0.2189639100271463, 0.21537417659429939, 0.2124817706997372, 0.21011073833303473, 0.20813785402382934, 0.20647467291590904, 0.20505634060361, 0.20383440206236259, 0.20277205484314112, 0.20184093984230644, 0.20101892453576989, 0.20028854183378336, 0.19963587118794837, 0.19904972372660529, 0.19852104002693549, 0.19804243895967769, 0.19760787542139091, 0.19721237759226293, 0.19685184298717792, 0.19652287846723587, 0.1962226734713059, 0.19594889860522061, 0.19569962377636579, 0.19547325153970155, 0.1952684623994245, 0.19508416960536476, 0.19491948157514788, 0.19477367051806718, 0.19464614617382436, 0.19453643383677044, 0.19444415603404988, 0.19436901737885462, 0.19431079223846201, 0.1942693149491363, 0.19424447238248282, 0.19423619872539608], [0.19954295999759095, 0.19956088570916988, 0.19961475608139126, 0.19970485447045638, 0.19983166544307759, 0.19999589381187666, 0.20019849248835012, 0.20044070048395821, 0.20072409296877386, 0.20105064605860484, 0.20142282003038353, 0.20184366608539303, 0.20231696377488362, 0.20284739905272459, 0.20344079705897489, 0.2041044298526348, 0.20484742850776344, 0.20568134308788452, 0.20662091609600677, 0.20768517038851753, 0.20889897072804295, 0.210295316570105, 0.21191879551882703, 0.21383093784646795, 0.21611879850714724, 0.21890925013514262, 0.22239388138393695, 0.22687474492774304, 0.23285399165700582, 0.24122388375345655, 0.25371126831732488, 0.27405598369541162, 0.31167466742776262, 0.39526692897267796, 0.61493096765431166, 0.69440154788680419, 0.31249950573740476, 0.21176396120970567, 0.1887886172369746, 0.18304522323760122, 0.18213789102638298, 0.18279948317562603, 0.18398998772681818, 0.18533810170511922, 0.18670447758783187, 0.18803847098036183, 0.18932550011313665, 0.19056605780070543, 0.19176686109403976, 0.19293699457138086, 0.19408621625956968, 0.19522423124067956, 0.19636040198087901, 0.19750364865469069, 0.19866241928716172, 0.19984466710760027, 0.20105779850849193, 0.20230856600157821, 0.20360288432980556, 0.20494554845705268, 0.20633983209134518, 0.20778694696496192, 0.20928534887897132, 0.21082988972792233, 0.2124108391149474, 0.21401283837602564, 0.21561390569039524, 0.21718468060302737, 0.21868816823825815, 0.22008029402826501, 0.22131157280385522, 0.22233009079807456, 0.22308576893867949, 0.22353553578986562, 0.22364866742752759, 0.22341128660548593, 0.22282900148610221, 0.2219269802035409, 0.22074733930668189, 0.21934437590060768, 0.21777865454277168, 0.2161111082303323, 0.21439811934415201, 0.21268813882593562, 0.21101995859374331, 0.20942241324306329, 0.20791511070753765, 0.20650976294804679, 0.20521175442487918, 0.20402169216347252, 0.20293678632246348, 0.20195199362210917, 0.20106091232117235, 0.20025644977342383, 0.19953129830887362, 0.19887825865802664, 0.19829044741394886, 0.19776141954043006, 0.19728523075348206, 0.1968564588181185, 0.19647019788140829, 0.19612203601945116, 0.1958080231440463, 0.19552463415512433, 0.19526873058228983, 0.19503752278992731, 0.1948285340052088, 0.19463956687124007, 0.19446867285549813, 0.19431412460196812, 0.19417439116419682, 0.19404811596714086, 0.19393409729790931, 0.19383127110503803, 0.19373869588292586, 0.19365553942581343, 0.1935810672496297, 0.19351463249717185, 0.19345566716050361, 0.19340367447290946, 0.19335822234051725, 0.19331893770041089, 0.19328550170750777, 0.19325764566663015, 0.19323514763912678, 0.19321782966517698, 0.19320555555367927, 0.19319822920154475, 0.19319579341342175, 0.19319619504441635, 0.19319740043759706, 0.19319941109452021, 0.19320222952099628, 0.19320585923193384, 0.1932103047581383, 0.19321557165510012, 0.1932216665137983, 0.19322859697355987, 0.19323637173702446, 0.19324500058726599, 0.19325449440713469, 0.19326486520089642, 0.19327612611823641, 0.19328829148073765, 0.19330137681091217, 0.19331539886391255, 0.19333037566203387, 0.19334632653214673, 0.19336327214620316, 0.19338123456497153, 0.19340023728518735, 0.19342030529029175, 0.19344146510497628, 0.19346374485375462, 0.19348717432380302, 0.1935117850323369, 0.19353761029880806, 0.19356468532224158, 0.19359304726404306, 0.19362273533665381, 0.19365379089845131, 0.19368625755533248, 0.19372018126945703, 0.19375561047566592, 0.1937925962061447, 0.19383119222394291, 0.19387145516602694, 0.19391344469659524, 0.19395722367147106, 0.19400285831444455, 0.194050418406536, 0.19409997748924104, 0.19415161308292597, 0.19420540692165797, 0.194261445205891, 0.19431981887456909, 0.19438062389838776, 0.19444396159612748, 0.19450993897619862, 0.19457866910577279, 0.19465027151014419, 0.19472487260528368, 0.19480260616689349, 0.19488361383968805, 0.19496804569107798, 0.19505606081397914, 0.19514782798408528, 0.1952435263776503, 0.19534334635666509, 0.19544749032927561, 0.19555617369441849, 0.19566962588096667, 0.19578809149324505, 0.19591183157660083, 0.19604112501888074, 0.19617627010626565, 0.19631758625495557, 0.19646541594391251, 0.19662012687824817, 0.19678211441819238, 0.19695180431499665, 0.19712965580294756, 0.19731616510620323, 0.19751186943080429, 0.19771735152657594, 0.19793324492131059, 0.1981602399515664, 0.19839909074174153, 0.19865062331727318, 0.19891574508078727, 0.19919545593437774, 0.19949086140020583, 0.19980318817982493, 0.20013380270598852, 0.2004842333873004, 0.20085619743689045, 0.20125163342644853, 0.20167274103727056, 0.20212202991963898, 0.20260238016206006, 0.20311711767123775, 0.20367010885700754, 0.2042658805273912, 0.2049097730106697, 0.20560813750858331, 0.20636859296609808, 0.20720036396652081, 0.20811473034688313, 0.20912563301564882, 0.21025050152669461, 0.21151140181417538, 0.21293665483253138, 0.21456316225597633, 0.21643981850115546, 0.21863263526677201, 0.22123264503335882, 0.22436846424830661, 0.22822696672131054, 0.23308868969465651, 0.23939135695109037, 0.24785022786576513, 0.25970121494152443, 0.27723045541512564, 0.3050316382090309, 0.3532603512239354, 0.44622778661278489, 0.63339800449311379, 0.83149506951942609, 0.59704585969557222, 0.35327090514261622, 0.25693663149449725, 0.218989709508664, 0.20224730887825584, 0.1941822016445669, 0.190143200741868, 0.18823159762820058, 0.18766612147316655, 0.18823159762819958, 0.19014320074186888, 0.19418220164457237, 0.20224730887826173, 0.21898970950866442, 0.25693663149458451, 0.35327090514251069, 0.59704585969545843, 0.83149506951942032, 0.63339800449335293, 0.44622778661272894, 0.35326035122389199, 0.30503163820902796, 0.27723045541512842, 0.25970121494152082, 0.2478502278657721, 0.23939135695108438, 0.23308868969464663, 0.22822696672131138, 0.22436846424830958, 0.22123264503335877, 0.21863263526677315, 0.21643981850115471, 0.21456316225597574, 0.21293665483253121, 0.21151140181417433, 0.21025050152669544, 0.20912563301564821, 0.20811473034688302, 0.20720036396652172, 0.20636859296609744, 0.20560813750858331, 0.20490977301067034, 0.20426588052739147, 0.20367010885700754, 0.20311711767123733, 0.20260238016205986, 0.20212202991963921, 0.20167274103727045, 0.20125163342644903, 0.20085619743689084, 0.20048423338729998, 0.20013380270598882, 0.19980318817982493, 0.19949086140020544, 0.19919545593437757, 0.19891574508078749, 0.19865062331727343, 0.19839909074174158, 0.19816023995156676, 0.19793324492131079, 0.19771735152657546, 0.19751186943080401, 0.19731616510620337, 0.19712965580294753, 0.19695180431499634, 0.19678211441819246, 0.19662012687824817, 0.19646541594391204, 0.19631758625495518, 0.19617627010626529, 0.1960411250188808, 0.19591183157660075, 0.19578809149324539, 0.19566962588096659, 0.19555617369441863, 0.19544749032927555, 0.19534334635666487, 0.19524352637765002, 0.19514782798408556, 0.19505606081397917, 0.19496804569107773, 0.19488361383968819, 0.19480260616689371, 0.19472487260528409, 0.19465027151014422, 0.19457866910577273, 0.19450993897619853, 0.19444396159612712, 0.19438062389838787, 0.19431981887456939, 0.19426144520589086, 0.19420540692165783, 0.19415161308292586, 0.1940999774892411, 0.19405041840653614, 0.19400285831444466, 0.19395722367147089, 0.19391344469659488, 0.19387145516602691, 0.19383119222394299, 0.19379259620614464, 0.19375561047566567, 0.19372018126945703, 0.1936862575553327, 0.1936537908984515, 0.19362273533665356, 0.19359304726404294, 0.19356468532224125, 0.19353761029880798, 0.19351178503233704, 0.19348717432380319, 0.19346374485375439, 0.1934414651049762, 0.1934203052902915, 0.19340023728518729, 0.19338123456497183, 0.19336327214620294, 0.19334632653214709, 0.19333037566203409, 0.19331539886391261, 0.19330137681091211, 0.19328829148073778, 0.19327612611823691, 0.19326486520089631, 0.19325449440713491, 0.19324500058726596, 0.19323637173702443, 0.19322859697355996, 0.19322166651379821, 0.19321557165510009, 0.19321030475813836, 0.19320585923193362, 0.19320222952099636, 0.19319941109452041, 0.19319740043759737, 0.19319619504441643, 0.19319579341342122, 0.19319599421427672, 0.19319659669117478, 0.19319760106713332, 0.19319900771391407, 0.1932008171521257, 0.19320303005136538, 0.19320564723039563, 0.19320866965736586, 0.19321209845007012, 0.19321593487623961, 0.19322018035387561, 0.19322483645161334, 0.1932299048891255, 0.1932353875375504, 0.19324128641995808, 0.19324760371184094, 0.19325434174163461, 0.19326150299125985, 0.19326909009669188, 0.19327710584854241, 0.19328555319266799, 0.19329443523078441, 0.19330375522109405, 0.19331351657892307, 0.19332372287735761, 0.19333437784788216, 0.1933454853810081, 0.1933570495268985, 0.1933690744959706, 0.19338156465947889, 0.19339452455007325, 0.19340795886232073, 0.19342187245318665, 0.19343627034246688, 0.19345115771316776, 0.19346653991181528, 0.19348242244869568, 0.19349881099800825, 0.19351571139792781, 0.19353312965056138, 0.19355107192178392, 0.19356954454095349, 0.19358855400047426, 0.19360810695521039, 0.19362821022172222, 0.19364887077731935, 0.19367009575890701, 0.1936918924616092, 0.19371426833715083, 0.19373723099197715, 0.19376078818509315, 0.19378494782559252, 0.19380971796986218, 0.1938351068184285, 0.19386112271242681, 0.1938877741296591, 0.19391506968022029, 0.1939430181016488, 0.19397162825358671, 0.19400090911190215, 0.19403086976224634, 0.19406151939300889, 0.19409286728762895, 0.19412492281623248, 0.19415769542654449, 0.19419119463404555, 0.19422543001131962, 0.19426041117656065, 0.19429614778118104, 0.19433264949648874, 0.19436992599937761, 0.19440798695698899, 0.19444684201029863, 0.19448650075658092, 0.19452697273070635, 0.19456826738522526, 0.19461039406920078, 0.19465336200574243, 0.1946971802682097, 0.19474185775504516, 0.19478740316321322, 0.19483382496021526, 0.19488113135466043, 0.19492933026539275, 0.19497842928915399, 0.19502843566680933, 0.19507935624813988, 0.1951311974552464, 0.19518396524460227, 0.19523766506783399, 0.19529230183130056, 0.19534787985459048, 0.19540440282806318, 0.19546187376959229, 0.19552029498071008, 0.19557966800235951, 0.19563999357053724, 0.19570127157210923, 0.19576350100115225, 0.19582667991622116, 0.19589080539897402, 0.19595587351467633, 0.19602187927512929, 0.19608881660466801, 0.19615667830991459, 0.19622545605406497, 0.19629514033656112, 0.19636572047907264, 0.19643718461880796, 0.19650951971026107, 0.1965827115365921, 0.19665674473192074, 0.19673160281593161, 0.19680726824225839, 0.19688372246223532, 0.19696094600567271, 0.19703891858043057, 0.19711761919263443, 0.19719702628947075, 0.19727711792657512, 0.19735787196209292, 0.19743926627956471, 0.19752127904182415, 0.19760388897815528, 0.19768707570696636, 0.19777082009627753, 0.19785510466429362, 0.19793991402235581, 0.19819737891671282, 0.19845932570516364, 0.1987260224200301, 0.19899834527893376, 0.19927801923605867, 0.19956790915353925, 0.19987236965163896, 0.20019766725738314, 0.20055249901210845, 0.20094865006737478, 0.20140186343920344, 0.20193304552495656, 0.2025700149424533, 0.20335014623323475, 0.20432451743286875, 0.20556465376136376, 0.20717391599986879, 0.20930758750003714, 0.21221020432902901, 0.2162895329017083, 0.22227541304145523, 0.23159736561560557, 0.24740869652999911, 0.27788868906244302, 0.34943179745396552, 0.5591713053712265, 0.66883855391742386, 0.29727330409098679, 0.20474069935659617, 0.18227704474352893, 0.17533423373518775, 0.17291237988808533, 0.17205300250605488, 0.17177637539231, 0.17170985717078247, 0.17169787897341621, 0.17167119296117972, 0.17159740981718166, 0.17146051424727135, 0.17125178543972167, 0.1709655854456327, 0.17059740210395943, 0.17014308478779189, 0.16959893011946181, 0.16896275266461894, 0.16823665874641547, 0.16743337972184119, 0.16659075468759557, 0.16580628036530104, 0.1653253580633966, 0.16578926528975488, 0.16902919037910819, 0.18110856370858494, 0.22711358866216744, 0.43412039091701948, 0.80747439386333764, 0.5119054407368846, 0.35031162249812081, 0.2864424791113932, 0.25541507107420919, 0.23774182670400301, 0.22650867815451894, 0.2187868227581854, 0.21315744439416545, 0.20886024887261756, 0.20545486692364895, 0.20267002442057089, 0.20033004787533917, 0.19831637685938955, 0.1965461963039993, 0.19496000542086345, 0.19351413127235439, 0.19217614324097163, 0.19092209762504703, 0.1897350738987145, 0.18860480555765452, 0.18752850088083139, 0.18651331380062183, 0.18558153688727086, 0.18478079707974551, 0.18420415677855823, 0.18403114128993892, 0.18461608223460652, 0.18669211102252473, 0.19188514596099096, 0.20415398377772814, 0.23433647659890472, 0.31565331470898872, 0.53659940086646352, 0.7968913140889553, 0.63544726737567503, 0.45223337821661347, 0.3585897182637256, 0.30938424125202441, 0.28071793010983137, 0.26246152564438274, 0.25000182124640918, 0.24103064658072573, 0.23429379846149359, 0.22906169197259998, 0.22488549542132658, 0.2214760309593316, 0.2186396611561196, 0.21624244586400249, 0.21418914949199863, 0.21241044346012034, 0.21085482855479498, 0.20948337887105237, 0.20826622864886948, 0.20718016731040695, 0.20620695751448537, 0.20533213592164629, 0.20454414298951745, 0.2038336813027653, 0.20319323538704767, 0.20261670745308438, 0.20209913761330098, 0.20163648652910024, 0.20122546484419529, 0.20086339817527316, 0.2005481195247642, 0.20027788317745931, 0.2000512957233152, 0.19986726100002727, 0.19972493659763005, 0.1996237002013547, 0.19956312452977018, 0.19954295999759095, 0.19955640106460673, 0.19959675534516885, 0.19966411692978159, 0.19975864549107977, 0.19988057062087436, 0.20003019801348901, 0.20020791761363271, 0.20041421389076924, 0.20064967845394197, 0.2009150252838808, 0.20121110893628083, 0.20153894616567192, 0.20189974153860502, 0.20229491775502836, 0.20272615158696144, 0.20319541658613291, 0.20370503402380999, 0.2042577339287493, 0.20485672861395079, 0.20550580177171257, 0.20620941712825067, 0.20697285186656267, 0.20780236166647775, 0.20870538644252654, 0.20969080892745576, 0.21076928251087829, 0.21195365073221381, 0.21325948934903155, 0.21470581418634477, 0.21631601592956362, 0.21811910966931117, 0.22015142718484332, 0.22245894159436372, 0.22510051034766101, 0.22815247617974657, 0.23171531600307418, 0.23592344523989903, 0.2409599988606487, 0.24707966293106887, 0.25464488870966634, 0.26418500284334584, 0.27649565364816525, 0.29281126148833275, 0.31511196632909655, 0.34667569557844097, 0.3930314847984363, 0.46324165226308162, 0.56921143524111506, 0.70935343482029745, 0.80834966782430639, 0.73384570848382991, 0.55137133502358526, 0.40473138717150098, 0.31682583304239087, 0.26673748607130177, 0.2375352636332948, 0.21982880030048751, 0.20867528295935819, 0.20141864302436724, 0.19657530226248116, 0.1932823989336539, 0.19101931708626824, 0.18946215191082344, 0.18840479457994105, 0.18771473220478077, 0.18730774659732899, 0.18713345481805199, 0.1871675574901164, 0.18740880392688339, 0.18788005184471948, 0.18863398102781886, 0.18976552989242815, 0.19143572458909225, 0.19391683776606147, 0.19768052475678127, 0.20357859274437792, 0.21323790975699783, 0.22998800847456516, 0.26120238334833545, 0.32437751647074126, 0.45917003410285878, 0.69604309181714541, 0.7940497750715475, 0.61223543241828626, 0.45022241727177681, 0.36005535027977215, 0.31001755592549524, 0.28021956377343255, 0.26118336520837337, 0.24828886656597854, 0.23913143167802922, 0.23237412210146338, 0.22722907497599082, 0.22320834063073108, 0.21999668798778521, 0.21738301323807127, 0.21522152209743536, 0.21340881464819192, 0.21186984865461239, 0.21054905749712111, 0.20940456615579275, 0.20840432733998082, 0.20752348081027053, 0.20674251130702037, 0.20604593954559289, 0.20542137621849277, 0.20485882772189468, 0.20435017934387223, 0.20388880546043142, 0.20346927189427186, 0.20308710600679064, 0.20273861715879321, 0.20242075504107368, 0.20213099677517474, 0.20186725609114017, 0.20162780961440604, 0.20141123654569301, 0.20121636893607009, 0.20104225044010926, 0.20088810193957848, 0.20075329281480053, 0.20063731693346915, 0.20053977265073497, 0.20046034628688628, 0.20039879868224772, 0.20035495453251195, 0.20032869428869479, 0.20031994846988799], [0.20548202463211515, 0.20550080172578813, 0.20555723274106194, 0.20565162081723423, 0.20578448448478323, 0.20595657824623079, 0.20616892271383017, 0.20642284577045253, 0.2067200368611079, 0.2070626173682478, 0.20745323117024225, 0.20789516106927569, 0.20839247901233335, 0.20895024123710657, 0.20957474415226571, 0.21027386370060328, 0.21105751143803009, 0.2119382567191701, 0.21293218982434539, 0.21406014189059266, 0.21534944542129558, 0.21683653488693946, 0.21857089072305633, 0.22062120235242266, 0.22308533520976051, 0.22610710488288377, 0.22990585942814493, 0.23483163745900437, 0.24147517701993457, 0.25090627055687403, 0.26524670034425496, 0.28924153254168244, 0.33533713517478081, 0.44273516138292218, 0.70272715348212966, 0.56943670213919007, 0.27468052452076441, 0.20758673727679833, 0.19157991924395995, 0.18773996000606788, 0.1874832793527853, 0.18840832511476305, 0.18972275441910186, 0.19113909246320829, 0.19255007505869237, 0.19391853839293191, 0.19523600997379759, 0.19650594958833009, 0.19773662929697561, 0.19893803377149497, 0.20012051628092323, 0.20129424197337109, 0.20246898387573481, 0.20365406792306395, 0.20485836669980376, 0.2060902884859005, 0.20735772896444174, 0.20866796112394126, 0.21002744091249897, 0.21144150549914478, 0.21291393990119239, 0.2144463884877125, 0.21603759322186564, 0.21768245404824887, 0.21937093294411616, 0.22108686628234769, 0.22280681298210303, 0.2244991460325009, 0.22612368015082726, 0.22763219198291815, 0.22897018950366085, 0.23008017524363236, 0.23090638958833853, 0.23140062924618715, 0.23152830126050999, 0.2312735554673935, 0.23064231361696649, 0.22966237446828536, 0.22838045024616432, 0.22685674944958586, 0.22515827854587916, 0.22335219926910266, 0.22150034234695182, 0.21965549754564367, 0.21785958597424054, 0.21614343595509147, 0.21452769184164075, 0.21302436369127914, 0.21163861054659339, 0.21037047567617614, 0.20921641281258541, 0.20817053595018395, 0.2072255868125443, 0.20637364825916721, 0.20560664645759733, 0.20491668704525778, 0.2042962664443248, 0.2037383927479984, 0.20323664337544281, 0.20278518011281624, 0.20237873666229078, 0.20201258947949491, 0.20168251938202786, 0.20138476898055502, 0.20111599923493484, 0.20087324720608976, 0.20065388622463876, 0.20045558912343861, 0.2002762948031897, 0.20011417815891849, 0.19996762324778924, 0.19983519949481193, 0.19971564069124942, 0.19960782652600387, 0.19951076639280985, 0.19942358522880754, 0.19934551115842805, 0.1992758647374808, 0.19921404961404002, 0.19915954444398046, 0.1991118959191662, 0.19907071278502442, 0.1990356607414025, 0.19900645813621318, 0.19898287237554452, 0.19896471698675344, 0.19895184928275544, 0.19894416858645739, 0.19894161498420618, 0.19894203571591931, 0.19894329843594971, 0.19894540471999131, 0.19894835719760315, 0.19895215955733045, 0.19895681655389516, 0.19896233401749031, 0.19896871886520559, 0.19897597911462919, 0.19898412389967704, 0.19899316348870524, 0.19900310930497342, 0.19901397394954112, 0.19902577122666867, 0.19903851617184137, 0.19905222508249834, 0.19906691555160516, 0.19908260650418569, 0.199099318236965, 0.19911707246127458, 0.19913589234938697, 0.19915580258447999, 0.1991768294144157, 0.19919900070956684, 0.19922234602492797, 0.19924689666677262, 0.19927268576413967, 0.19929974834545958, 0.19932812142065881, 0.1993578440691017, 0.19938895753377431, 0.19942150532213831, 0.19945553331412788, 0.19949108987780298, 0.19952822599321557, 0.19956699538510358, 0.19960745466507546, 0.19964966348401492, 0.19969368469549881, 0.19973958453110799, 0.19978743278858019, 0.19983730303385719, 0.19988927281818133, 0.19994342391151024, 0.19999984255364978, 0.20005861972465211, 0.2001198514361848, 0.20018363904577041, 0.20025008959598728, 0.20031931618097645, 0.20039143834285283, 0.20046658250092067, 0.20054488241694685, 0.20062647970012618, 0.20071152435583794, 0.20080017538279385, 0.2008926014237864, 0.20098898147592742, 0.20108950566706157, 0.20119437610597088, 0.20130380781506252, 0.20141802975549225, 0.20153728595615222, 0.2016618367597017, 0.20179196020087004, 0.20192795353468773, 0.20207013493522391, 0.20221884538882517, 0.20237445081003322, 0.20253734441328958, 0.20270794937957284, 0.20288672186435458, 0.2030741544021068, 0.20327077977338559, 0.20347717541371393, 0.20369396845978352, 0.20392184154859641, 0.20416153951015259, 0.20441387712546075, 0.20467974816072454, 0.2049601359377754, 0.20525612576320176, 0.2055689196180164, 0.20589985361144111, 0.20625041883347228, 0.20662228641091782, 0.207017337793618, 0.20743770158958913, 0.20788579865487142, 0.20836439766105858, 0.20887668406072232, 0.20942634631962015, 0.21001768458859121, 0.21065574879981389, 0.21134651571897814, 0.21209711811036011, 0.2129161444032564, 0.21381403490908019, 0.2148036120376719, 0.21590079922086078, 0.21712560988478083, 0.21850352977380985, 0.22006748356648914, 0.22186068852826255, 0.22394088798417036, 0.22638679059477934, 0.22930814627488269, 0.23286203134408262, 0.23728016813804112, 0.24291677792220057, 0.25033673537458095, 0.26048788570950382, 0.27506224123085821, 0.29731719164661813, 0.33411583873298156, 0.40135066682893333, 0.53633235735958928, 0.76863071899557123, 0.74633435928975456, 0.43810707879955707, 0.289109267652503, 0.23331179111362238, 0.21026971206482981, 0.19968948480002066, 0.19447244900280564, 0.19183186256937471, 0.19057828805435548, 0.19020742916332201, 0.19057828805435514, 0.19183186256937529, 0.19447244900280913, 0.19968948480002424, 0.21026971206483019, 0.23331179111367462, 0.28910926765243816, 0.43810707879948541, 0.74633435928944059, 0.76863071899577962, 0.53633235735950791, 0.4013506668288721, 0.33411583873297912, 0.29731719164662163, 0.27506224123085388, 0.26048788570951231, 0.25033673537457363, 0.24291677792218927, 0.23728016813804176, 0.23286203134408617, 0.22930814627488266, 0.22638679059478065, 0.2239408879841695, 0.22186068852826188, 0.22006748356648903, 0.21850352977380871, 0.21712560988478172, 0.21590079922086011, 0.21480361203767184, 0.21381403490908119, 0.21291614440325574, 0.21209711811036006, 0.21134651571897878, 0.21065574879981414, 0.21001768458859119, 0.20942634631961973, 0.20887668406072213, 0.2083643976610588, 0.20788579865487128, 0.20743770158958966, 0.20701733779361833, 0.20662228641091748, 0.20625041883347262, 0.20589985361144122, 0.20556891961801602, 0.20525612576320165, 0.20496013593777562, 0.20467974816072471, 0.2044138771254608, 0.20416153951015295, 0.20392184154859661, 0.20369396845978308, 0.2034771754137136, 0.20327077977338581, 0.2030741544021068, 0.2028867218643543, 0.20270794937957304, 0.20253734441328958, 0.20237445081003283, 0.20221884538882484, 0.20207013493522341, 0.20192795353468784, 0.20179196020086995, 0.20166183675970212, 0.2015372859561522, 0.20141802975549247, 0.20130380781506246, 0.20119437610597066, 0.20108950566706127, 0.20098898147592767, 0.20089260142378637, 0.20080017538279357, 0.20071152435583806, 0.20062647970012645, 0.20054488241694726, 0.2004665825009207, 0.20039143834285278, 0.20031931618097648, 0.20025008959598697, 0.20018363904577047, 0.20011985143618521, 0.200058619724652, 0.19999984255364961, 0.19994342391151021, 0.19988927281818145, 0.19983730303385736, 0.1997874327885803, 0.19973958453110782, 0.1996936846954985, 0.19964966348401492, 0.19960745466507551, 0.19956699538510353, 0.19952822599321526, 0.19949108987780298, 0.19945553331412805, 0.19942150532213837, 0.199388957533774, 0.19935784406910156, 0.19932812142065839, 0.19929974834545952, 0.19927268576413978, 0.1992468966667727, 0.19922234602492775, 0.1991990007095667, 0.19917682941441556, 0.19915580258447993, 0.19913589234938739, 0.19911707246127436, 0.19909931823696542, 0.19908260650418594, 0.19906691555160516, 0.1990522250824982, 0.19903851617184157, 0.1990257712266692, 0.19901397394954096, 0.19900310930497375, 0.19899316348870516, 0.19898412389967707, 0.19897597911462928, 0.19896871886520545, 0.19896233401749025, 0.19895681655389527, 0.19895215955733023, 0.19894835719760331, 0.19894540471999153, 0.19894329843594988, 0.1989420357159194, 0.19894161498420571, 0.19894182533466803, 0.19894245646370118, 0.19894350860426782, 0.19894498214470846, 0.19894687762884958, 0.19894919575615333, 0.19895193738190481, 0.19895510351744569, 0.19895869533044619, 0.19896271414521483, 0.19896716144304974, 0.19897203886262413, 0.19897734820041171, 0.19898309141114098, 0.19898927060828764, 0.19899588806459484, 0.19900294621262382, 0.19901044764532924, 0.199018395116663, 0.19902679154219113, 0.1990356399997408, 0.19904494373005335, 0.19905470613745188, 0.19906493079052015, 0.19907562142278182, 0.1990867819333825, 0.19909841638776302, 0.19911052901832973, 0.19912312422510298, 0.19913620657634684, 0.19914978080917395, 0.19916385183011379, 0.19917842471564109, 0.19919350471265351, 0.19920909723889801, 0.19922520788332407, 0.19924184240636872, 0.19925900674015079, 0.19927670698857428, 0.19929494942732387, 0.19931374050373593, 0.19933308683654755, 0.19935299521548963, 0.19937347260072744, 0.19939452612211919, 0.19941616307828777, 0.1994383909354801, 0.19946121732619843, 0.19948465004758428, 0.1995086970595335, 0.19953336648252362, 0.19955866659512408, 0.19958460583117241, 0.19961119277658473, 0.199638436165778, 0.19966634487767143, 0.19969492793124477, 0.19972419448060905, 0.19975415380957445, 0.19978481532566639, 0.19981618855356267, 0.19984828312791322, 0.19988110878549972, 0.19991467535670507, 0.19994899275623954, 0.19998407097309279, 0.20001992005965855, 0.20005655011999746, 0.20009397129718076, 0.20013219375968178, 0.20017122768675799, 0.20021108325278186, 0.20025177061047375, 0.20029329987298902, 0.20033568109481398, 0.20037892425142537, 0.20042303921767443, 0.20046803574484998, 0.2005139234363868, 0.20056071172218487, 0.2006084098315116, 0.20065702676446334, 0.20070657126196531, 0.20075705177431546, 0.2008084764282522, 0.20086085299257936, 0.20091418884235554, 0.20096849092169858, 0.20102376570524852, 0.20108001915837506, 0.2011372566962098, 0.20119548314163094, 0.20125470268233767, 0.20131491882718586, 0.20137613436199664, 0.20143835130506021, 0.20150157086263742, 0.20156579338475944, 0.20163101832169983, 0.20169724418154611, 0.20176446848932764, 0.20183268774825158, 0.20190189740362632, 0.2019720918101523, 0.20204326420330793, 0.20211540667564909, 0.20218851015892597, 0.20226256441298926, 0.20233755802256448, 0.20241347840305934, 0.20249031181667065, 0.20256804340013818, 0.20264665720562394, 0.20272613625626257, 0.20280646261806318, 0.2028876174899108, 0.20296958131354426, 0.20305233390546124, 0.20313585461280456, 0.20322012249536278, 0.20330511653589772, 0.20339081588108954, 0.20347720011543288, 0.20356424957049263, 0.20365194567194009, 0.20374027132685071, 0.20382921135372289, 0.20391875295772208, 0.2041909064195252, 0.20446836252144104, 0.20475153193234485, 0.20504148967252409, 0.20534023467750231, 0.20565100574662196, 0.20597866410195292, 0.20633015956075815, 0.20671510988171771, 0.20714654458305576, 0.20764190089068132, 0.2082244198514655, 0.20892519242656712, 0.20978628251567599, 0.21086567565366249, 0.21224541631936539, 0.21404553460626541, 0.21644901280413861, 0.21974912107360225, 0.22444558369612333, 0.23145763203109126, 0.24265123242065872, 0.26234581278352981, 0.30250882198508944, 0.40469673306670079, 0.68238699371010159, 0.50275443393340047, 0.25188310809378839, 0.19801651950362417, 0.18373441644723965, 0.17915073172522866, 0.1775793406261153, 0.17707536692247616, 0.17696254501063891, 0.1769763044184644, 0.17700477672283607, 0.1769981608919956, 0.17693338092080294, 0.17679913623835763, 0.17658918185646647, 0.1762991869315044, 0.17592527617001125, 0.17546347960646622, 0.17490985425926331, 0.17426141811264032, 0.17351851694817699, 0.17269018872027134, 0.17180633413861607, 0.17094641189451074, 0.17031148541464608, 0.17042180545493768, 0.17272813565368972, 0.18184255016194717, 0.21569291165983501, 0.36195969430839814, 0.78094250856224035, 0.58394840844308005, 0.38330373033031634, 0.30504066849873385, 0.26841864325767761, 0.24812602489014796, 0.23547842299063509, 0.22690895508504277, 0.22073062829813181, 0.216056038049183, 0.21237863495142395, 0.20939001151208742, 0.20689234538926674, 0.20475316534447302, 0.20288051075523555, 0.2012085991470329, 0.19968923511190109, 0.19828653803158952, 0.19697371685087481, 0.19573123247556021, 0.19454605899092992, 0.19341204060720929, 0.19233165753914019, 0.19132000325845436, 0.19041270068934907, 0.18968143563492595, 0.18926522280506894, 0.18943635943584733, 0.19074866268162247, 0.19439841223458151, 0.2031939146367856, 0.22447622008512433, 0.27987702362597755, 0.43417132782703349, 0.73447868063770527, 0.72159464245156579, 0.51268282989502589, 0.39286543859251577, 0.33128898978075083, 0.29657189732510791, 0.27505796257638665, 0.26068454029263544, 0.25050585230639211, 0.24296183835789478, 0.23716424132395661, 0.23257623971387914, 0.22885704618580241, 0.22578128442155559, 0.22319469401837019, 0.22098857368209074, 0.21908440242010122, 0.21742424202425287, 0.21596455391971475, 0.21467210258156269, 0.21352117311223134, 0.21249163896199366, 0.21156759292786689, 0.21073635947336899, 0.20998777025947798, 0.20931362461066688, 0.20870728205800512, 0.20816335065887528, 0.20767744578510244, 0.20724600149791353, 0.20686612172774996, 0.20653546203220999, 0.20625213521899896, 0.20601463592167549, 0.20582178052267228, 0.2056726597779987, 0.20556660221280862, 0.20550314689756627, 0.20548202463211515, 0.20549610404741853, 0.20553837596678426, 0.20560894233622151, 0.20570797616837405, 0.20583572625753607, 0.20599252390597597, 0.20617879179455939, 0.20639505517997009, 0.20664195565958726, 0.20692026781626005, 0.20723091914270164, 0.20757501375394125, 0.20795386053245046, 0.20836900652245846, 0.20882227660850575, 0.20931582079291572, 0.20985217074740711, 0.21043430778199418, 0.21106574498665728, 0.21175062710874673, 0.21249385280307603, 0.21330122533305679, 0.21417963975386031, 0.21513731728066543, 0.21618410124020543, 0.21733183417182417, 0.2185948429589441, 0.21999056935764846, 0.22154039852698507, 0.22327076063446075, 0.22521461426386583, 0.2274134716138474, 0.22992020498312549, 0.23280299978483404, 0.23615102243108954, 0.24008270695656353, 0.24475813213381217, 0.25039794701364732, 0.25731306204207322, 0.26595254741807217, 0.27698324225200038, 0.29142618938925785, 0.31089724995110224, 0.3380395368025147, 0.37729034820743357, 0.43607742500287633, 0.52552081428030384, 0.65324242279338973, 0.78132855264108447, 0.77761711859465987, 0.61407151430362694, 0.44724981769967442, 0.34150276949929381, 0.28150528495355359, 0.2472319569525403, 0.22691832612723012, 0.21439279193690269, 0.20639762490285776, 0.20114974007455191, 0.19763165108480266, 0.19523942904777078, 0.19360204824368224, 0.19248504642897396, 0.19173723174779575, 0.19126028248442314, 0.19099106410809219, 0.19089138568364408, 0.1909424443962493, 0.19114261719442779, 0.19150817761455602, 0.19207731684333781, 0.1929188616615585, 0.19414879108812477, 0.19596103052058764, 0.19868631457449537, 0.20290991583047663, 0.20972143587730707, 0.22128338195478792, 0.24222937125575666, 0.28333941264569862, 0.37090275478085227, 0.55577989220346646, 0.78291021470991107, 0.71676246869548454, 0.52319125764611318, 0.40192567642824634, 0.33611833979278255, 0.29841871123308317, 0.27513910279025555, 0.25979150762250774, 0.24912146895299811, 0.2413795129031803, 0.23556376432319084, 0.23106840581100879, 0.22750981880355908, 0.22463539316731296, 0.22227314210830804, 0.22030256736116177, 0.21863712950022363, 0.2172133272567808, 0.21598368244079916, 0.21491210975428712, 0.21397078596103639, 0.21313798655424973, 0.21239656149049169, 0.21173284203682033, 0.21113584404340793, 0.21059667859169368, 0.21010811002623231, 0.20966422025512244, 0.20926015069511755, 0.20889190164552779, 0.20855617462487328, 0.20825024719491891, 0.20797187260499367, 0.20771919859165583, 0.20749070111382328, 0.20728512985857392, 0.20710146313152131, 0.20693887032614319, 0.2067966806030295, 0.20667435674101231, 0.20657147337465712, 0.20648769902640837, 0.20642278149094465, 0.20637653624486721, 0.20634883764481374, 0.20633961274784202], [0.20915353604219286, 0.20917299010288518, 0.20923145802400223, 0.2093292612381939, 0.20946694971094071, 0.20964532399853217, 0.20986546757590011, 0.21012879103823015, 0.21043709048507464, 0.21079262332835472, 0.21119820603388753, 0.21165734006790149, 0.2121743748132173, 0.21275471980866537, 0.21340512392003702, 0.21413404688146009, 0.21495216053611821, 0.21587303552817261, 0.21691409838118081, 0.2180979912646849, 0.21945454572621809, 0.22102371735585474, 0.2228600694668357, 0.22503983896307148, 0.22767247562665505, 0.23092028501178705, 0.23503354001961244, 0.24041701487593367, 0.24776531856037629, 0.2583633477099862, 0.27483088932658084, 0.30324394710362429, 0.3602806689695664, 0.49947860766504404, 0.76286424774226524, 0.45489883253774654, 0.249468909688182, 0.20426972048719333, 0.19315295620908562, 0.19071446359518851, 0.19093656810265827, 0.19204490746703182, 0.19343546547972004, 0.19488627493991981, 0.19631537524188578, 0.19769613847884102, 0.19902472536869376, 0.20030672466216518, 0.20155143637093417, 0.20276938640134107, 0.20397126430714668, 0.20516750084680735, 0.20636813009337721, 0.207582767909684, 0.20882062277220628, 0.21009049295077012, 0.21140072040971059, 0.21275907754592965, 0.21417256333069062, 0.21564708348682421, 0.21718698713408388, 0.2187944321072478, 0.22046855583222663, 0.22220444224044239, 0.22399190278538647, 0.22581413661400393, 0.22764640510069836, 0.2294549475774593, 0.23119646545742092, 0.23281858147841647, 0.23426169117723267, 0.23546250651665449, 0.23635930334098751, 0.23689843582643028, 0.23704117272919673, 0.23676953025239933, 0.23608973484595352, 0.23503236112105635, 0.23364897497621756, 0.2320059960971983, 0.2301771380342004, 0.22823596322855552, 0.2262498019659149, 0.22427571710996042, 0.22235860240785857, 0.22053106848422344, 0.21881456491720525, 0.2172211766477691, 0.21575564019015028, 0.21441727318702572, 0.21320164856701909, 0.21210194846831898, 0.21110999952821036, 0.21021702655655189, 0.20941417545994823, 0.20869285717015823, 0.2080449586299257, 0.2074629587002218, 0.20693997849134194, 0.20646978820160572, 0.20604678646651201, 0.20566596348864294, 0.20532285566992031, 0.20501349688252213, 0.2047343696759126, 0.20448235843733609, 0.20425470565083842, 0.20404897181882423, 0.20386299923371734, 0.2036948795520537, 0.20354292498408419, 0.2034056428367248, 0.20328171311426532, 0.20316996887436589, 0.20306937904618361, 0.20297903343607765, 0.20289812966971202, 0.20282596184456231, 0.20276191069210389, 0.2027054350731847, 0.20265606465272726, 0.20261339362070568, 0.20257707534524416, 0.20254681786074197, 0.20252238010932788, 0.20250356886782322, 0.20249023630498136, 0.20248227812527431, 0.20247963226610519, 0.20248006801854862, 0.20248137582067188, 0.20248355730792045, 0.20248661520959643, 0.20249055335421615, 0.20249537667703288, 0.20250109122976093, 0.20250770419253036, 0.20251522388812024, 0.20252365979852238, 0.20253302258389816, 0.20254332410399614, 0.20255457744211994, 0.20256679693172078, 0.20257999818574021, 0.20259419812879045, 0.20260941503231741, 0.20262566855287015, 0.20264297977363743, 0.20266137124941033, 0.2026808670551507, 0.20270149283837419, 0.20272327587554642, 0.2027462451327397, 0.20277043133080039, 0.20279586701530553, 0.20282258663161026, 0.20285062660531497, 0.20288002542851369, 0.20291082375220498, 0.20294306448529748, 0.20297679290066573, 0.20301205674876138, 0.20304890637932727, 0.20308739487180988, 0.20312757817512753, 0.20316951525750271, 0.20321326826714126, 0.20325890270460714, 0.20330648760783843, 0.20335609575082225, 0.20340780385705926, 0.20346169282906199, 0.20351784799525308, 0.20357635937576993, 0.20363732196884843, 0.20370083605962594, 0.20376700755341665, 0.20383594833572499, 0.20390777666153362, 0.20398261757668729, 0.20406060337451884, 0.20414187409125567, 0.20422657804416014, 0.20431487241686988, 0.20440692389695556, 0.20450290937138274, 0.20460301668631661, 0.20470744547858569, 0.20481640808714896, 0.20493013055409917, 0.20504885372613577, 0.2051728344690692, 0.20530234700986677, 0.20543768442302024, 0.20557916028071979, 0.20572711048956338, 0.2058818953403444, 0.20604390180211621, 0.20621354609724662, 0.20639127660091466, 0.20657757711661473, 0.20677297058914174, 0.20697802332864682, 0.20719334983418541, 0.20741961832352823, 0.20765755709866843, 0.20790796190468636, 0.20817170447490882, 0.20844974249961712, 0.20874313131149311, 0.20905303765206099, 0.20938075597404651, 0.2097277278510836, 0.21009556521674208, 0.2104860783507311, 0.2109013097867673, 0.21134357565537892, 0.21181551642566776, 0.21232015961491177, 0.21286099785398785, 0.21344208681652632, 0.21406816906721687, 0.21474483204699898, 0.21547871147121883, 0.21627775579935449, 0.21715157380457015, 0.21811189667229849, 0.21917320016542721, 0.22035355395517797, 0.22167579883071009, 0.22316920605892357, 0.22487186057666472, 0.2268341561947072, 0.22912404386240226, 0.23183512512690541, 0.23509951787661665, 0.23910903277079806, 0.24415145903438232, 0.25067572100057373, 0.25941548315957552, 0.27163932400825219, 0.28969714443241107, 0.31832199740131573, 0.3680108673905918, 0.46390867268945835, 0.6552266200597674, 0.83160636002744781, 0.56834241604737901, 0.33900692893075562, 0.25256319131398569, 0.21925852607623753, 0.20485894596016122, 0.19804802638241531, 0.19464303187425522, 0.19291521667575257, 0.19209759927980349, 0.19185655460143169, 0.19209759927980319, 0.19291521667575307, 0.19464303187425744, 0.19804802638241739, 0.20485894596016155, 0.21925852607626889, 0.2525631913139465, 0.33900692893071366, 0.56834241604704772, 0.83160636002739208, 0.65522662005965948, 0.46390867268937452, 0.36801086739058675, 0.31832199740132039, 0.28969714443240591, 0.27163932400826279, 0.25941548315956653, 0.25067572100056057, 0.24415145903438296, 0.23910903277080203, 0.23509951787661687, 0.23183512512690688, 0.22912404386240132, 0.22683415619470637, 0.22487186057666439, 0.22316920605892232, 0.22167579883071098, 0.22035355395517717, 0.21917320016542713, 0.21811189667229958, 0.2171515738045694, 0.21627775579935446, 0.21547871147121961, 0.21474483204699929, 0.21406816906721698, 0.21344208681652591, 0.21286099785398757, 0.21232015961491202, 0.21181551642566765, 0.21134357565537945, 0.21090130978676763, 0.21048607835073074, 0.21009556521674239, 0.2097277278510836, 0.20938075597404607, 0.20905303765206082, 0.20874313131149327, 0.20844974249961729, 0.20817170447490899, 0.20790796190468669, 0.20765755709866873, 0.2074196183235277, 0.20719334983418511, 0.20697802332864695, 0.20677297058914179, 0.20657757711661445, 0.20639127660091489, 0.20621354609724654, 0.20604390180211574, 0.20588189534034401, 0.20572711048956302, 0.2055791602807199, 0.20543768442302016, 0.2053023470098671, 0.20517283446906912, 0.20504885372613593, 0.20493013055409917, 0.20481640808714882, 0.20470744547858549, 0.20460301668631684, 0.20450290937138274, 0.20440692389695531, 0.20431487241686999, 0.20422657804416045, 0.20414187409125614, 0.2040606033745189, 0.20398261757668729, 0.20390777666153365, 0.2038359483357246, 0.2037670075534167, 0.20370083605962624, 0.20363732196884832, 0.20357635937576973, 0.20351784799525297, 0.2034616928290621, 0.20340780385705928, 0.20335609575082231, 0.20330648760783837, 0.20325890270460675, 0.2032132682671412, 0.20316951525750282, 0.2031275781751275, 0.2030873948718096, 0.20304890637932727, 0.20301205674876158, 0.20297679290066589, 0.20294306448529717, 0.20291082375220487, 0.2028800254285133, 0.20285062660531492, 0.20282258663161037, 0.20279586701530566, 0.20277043133080017, 0.20274624513273948, 0.20272327587554623, 0.20270149283837408, 0.20268086705515109, 0.20266137124941008, 0.20264297977363771, 0.20262566855287042, 0.2026094150323175, 0.20259419812879043, 0.20257999818574041, 0.20256679693172125, 0.20255457744211977, 0.20254332410399647, 0.20253302258389816, 0.20252365979852238, 0.20251522388812027, 0.20250770419253031, 0.20250109122976087, 0.20249537667703296, 0.20249055335421601, 0.20248661520959649, 0.20248355730792059, 0.20248137582067205, 0.2024800680185487, 0.20247963226610466, 0.20247985012631975, 0.20248050378720966, 0.20248159348953371, 0.20248311963462992, 0.20248508278452856, 0.20248748366210945, 0.20249032315129772, 0.20249360229730903, 0.20249732230693546, 0.20250148454886982, 0.20250609055407473, 0.2025111420161872, 0.20251664079196574, 0.20252258890176747, 0.20252898853006615, 0.20253584202599861, 0.20254315190394548, 0.20255092084413631, 0.20255915169328634, 0.20256784746524736, 0.20257701134169098, 0.20258664667279894, 0.20259675697796997, 0.20260734594653962, 0.20261841743850134, 0.20262997548523204, 0.20264202429021058, 0.20265456822973404, 0.20266761185361354, 0.20268115988585178, 0.20269521722529821, 0.20270978894626657, 0.20272488029911448, 0.20274049671077257, 0.2027566437852229, 0.2027733273039046, 0.20279055322605069, 0.2028083276889357, 0.20282665700803118, 0.20284554767705235, 0.20286500636788185, 0.20288503993036863, 0.20290565539197111, 0.20292685995724632, 0.20294866100715542, 0.20297106609818122, 0.20299408296123075, 0.20301771950030773, 0.20304198379093574, 0.20306688407830839, 0.20309242877514988, 0.20311862645925444, 0.20314548587068748, 0.20317301590861725, 0.20320122562775383, 0.2032301242343621, 0.20325972108182591, 0.20329002566571969, 0.20332104761836994, 0.20335279670286016, 0.20338528280644769, 0.20341851593335741, 0.20345250619690744, 0.20348726381093565, 0.2035227990804751, 0.20355912239164722, 0.20359624420071679, 0.2036341750222774, 0.20367292541650761, 0.20371250597546509, 0.20375292730836214, 0.20379420002577928, 0.20383633472277263, 0.20387934196082536, 0.20392323224859837, 0.20396801602143769, 0.20401370361959789, 0.20406030526513672, 0.20410783103745203, 0.20415629084742201, 0.20420569441012967, 0.2042560512161431, 0.20430737050133899, 0.20435966121527266, 0.20441293198808344, 0.20446719109596739, 0.20452244642523287, 0.20457870543499365, 0.20463597511854784, 0.20469426196353893, 0.20475357191098292, 0.20481391031329976, 0.20487528189149817, 0.2049376906916931, 0.20500114004118214, 0.20506563250431742, 0.20513116983848939, 0.20519775295054121, 0.20526538185400786, 0.20533405562762672, 0.20540377237560117, 0.20547452919019399, 0.20554632211725893, 0.20561914612542156, 0.2056929950796702, 0.20576786172021394, 0.2058437376475524, 0.20592061331477138, 0.20599847802819454, 0.20607731995760553, 0.20615712615736562, 0.20623788259983547, 0.20631957422264388, 0.20640218499142457, 0.2064856979797739, 0.20657009546826599, 0.2066553590644877, 0.20674146984614247, 0.2068284085293805, 0.20691615566460148, 0.20700469186205955, 0.2070939980496945, 0.20718405576565979, 0.20727484748810793, 0.20736635700481665, 0.20745856982531569, 0.20755147363816373, 0.20764505881609147, 0.20792985857590862, 0.20822082918792023, 0.20851853837820195, 0.20882427273336665, 0.20914031556522911, 0.20947028720274763, 0.20981956042180896, 0.21019577189388661, 0.21060946539450484, 0.21107492811836995, 0.21161132444539305, 0.21224430358466545, 0.21300838064021624, 0.21395060818794726, 0.21513645718777255, 0.21665960646436105, 0.21865894364241889, 0.22134959063896936, 0.22508303353763875, 0.23047267929222751, 0.23868187650384201, 0.25216950161059792, 0.27695038599770216, 0.33098007488047837, 0.48007519273471894, 0.74186945047514941, 0.37259304341570976, 0.22629935171581, 0.19385743834266247, 0.18461408382823152, 0.18159073171859214, 0.18059878618550679, 0.18033593541736503, 0.18033026168626412, 0.18039280405713165, 0.18044294805397787, 0.18044493132663422, 0.18038239635275832, 0.18024741705105946, 0.18003550260694307, 0.17974324539802949, 0.17936723068759919, 0.17890364139962031, 0.17834839670761665, 0.177697962066384, 0.1769513635088637, 0.17611471994567382, 0.17521144297676908, 0.17430600570887189, 0.17356263626085777, 0.1734026100945138, 0.1749756552472041, 0.18180566739180623, 0.20685046090874515, 0.31042379954576826, 0.69580131875684326, 0.6636500082555139, 0.41981528053047878, 0.32315469779540357, 0.27976710708637725, 0.25647368872650578, 0.24227587645757268, 0.23281114709226719, 0.22607132392117146, 0.22102176504639839, 0.21708138847497677, 0.21390097386450779, 0.21125888065887752, 0.20900797927946871, 0.20704686234145533, 0.20530339298382821, 0.20372490751143657, 0.20227221132468301, 0.2009158699444164, 0.19963400532560832, 0.19841121721365915, 0.19723853778331601, 0.19611461056042401, 0.19504868211568646, 0.19406670779639448, 0.19322332934548841, 0.19262571247767452, 0.1924829202271704, 0.19321421617896634, 0.19570477520894744, 0.20196704994676054, 0.21704854887884481, 0.25520263595237713, 0.36027332320164546, 0.62204210013974559, 0.78309401069512008, 0.58395241178713719, 0.43152473179482553, 0.35364163175037316, 0.31126368577031116, 0.28581343916573604, 0.26922196141383836, 0.25769342141683371, 0.24927517053362877, 0.24288204813045727, 0.23787120685838126, 0.23384124716970456, 0.23053035048762385, 0.22776138922539943, 0.22541077953086669, 0.22339000520083838, 0.22163422987077375, 0.22009503995095883, 0.21873568248027211, 0.21752785811122247, 0.21644951088362824, 0.21548327301072476, 0.21461534980763652, 0.21383470640098359, 0.21313246518303131, 0.21250145293715514, 0.21193585594087055, 0.21143095413425261, 0.21098291402503644, 0.21058862586283311, 0.2102455746799472, 0.20995173765657485, 0.20970550230840457, 0.20950560146894581, 0.20935106211792898, 0.20924116590785868, 0.20917541984450033, 0.20915353604219286, 0.20916812301771776, 0.20921192012264134, 0.20928503688896946, 0.20938765921237784, 0.20952005443384986, 0.20968257859381159, 0.20987568600728568, 0.21009994136382504, 0.21035603462192262, 0.21064479904767708, 0.21096723284615151, 0.21132452495681647, 0.21171808573895051, 0.21214958346852292, 0.21262098781769068, 0.21313462180865783, 0.21369322414868872, 0.21430002439406937, 0.21495883410199826, 0.21567415807178403, 0.21645133103663988, 0.21729668686751649, 0.21821776966701284, 0.21922359932118274, 0.22032500851734477, 0.22153507449007923, 0.22286967767666432, 0.22434823235312171, 0.22599465321795917, 0.22783865001723577, 0.22991748486356139, 0.23227839244645587, 0.23498196621647802, 0.23810697847225545, 0.2417573723112928, 0.24607261638215805, 0.25124339280413255, 0.25753596628212355, 0.265331085971519, 0.27518794668079249, 0.28795267368926414, 0.30494808843130372, 0.32831427466712709, 0.36162385461339047, 0.41093164021086515, 0.48603554098413337, 0.59844199700795819, 0.73734367042312154, 0.80185103314246475, 0.68223559346723817, 0.49930746109376245, 0.37107569254001704, 0.29785974359224487, 0.25685942446718646, 0.23314598073908768, 0.21885919752903421, 0.20992689827502498, 0.20417033963766229, 0.20037295926896814, 0.19782638310204892, 0.19610233720483755, 0.19493343110301151, 0.19414833289848576, 0.19363524138444776, 0.19332069942150457, 0.1931570902607658, 0.19311530481695396, 0.19318072259796853, 0.19335159125118762, 0.19363951525147918, 0.19407231425007035, 0.19470020174490588, 0.19560737617900287, 0.19693332119785031, 0.19891277104817928, 0.20195385334647445, 0.20679952101598539, 0.21488411426105811, 0.22918421585213408, 0.25642023294833449, 0.31304941726183239, 0.43893071096314074, 0.67687035519426597, 0.79288858633873527, 0.61305786971679366, 0.45262880908751285, 0.36480519233755948, 0.31646803505987775, 0.28776220901483834, 0.26942305295130703, 0.25698266159313016, 0.24812847555744991, 0.24157826864828877, 0.23657727006622059, 0.23265809853371794, 0.22951867906947251, 0.2269565566757514, 0.22483176892844534, 0.22304494101919187, 0.22152386908599889, 0.22021502840329141, 0.21907804081163679, 0.21808197636314952, 0.21720282373847735, 0.21642172406859361, 0.21572371460235401, 0.21509681978194012, 0.21453138338482811, 0.21401957072979511, 0.21355499267995523, 0.21313241808801164, 0.21274755128547254, 0.21239685797589644, 0.2120774275507108, 0.21178686310363457, 0.21152319272857728, 0.21128479734327396, 0.2110703514849738, 0.21087877440906097, 0.21070918947805167, 0.210560890320314, 0.21043331260940629, 0.21032601059742109, 0.21023863775179061, 0.21017093101083448, 0.21012269830123514, 0.21009380905975564, 0.21008418757909125], [0.21004016200897047, 0.21006006357095819, 0.21011987923408837, 0.21021994639903291, 0.21036084250586612, 0.21054340844069158, 0.21076878287152362, 0.21103844925297896, 0.21135429800792671, 0.21171870741471083, 0.21213464812105567, 0.21260581814739038, 0.21313681800075743, 0.21373337950781834, 0.21440266783999545, 0.2151536849859183, 0.21599781633233833, 0.21694958290790572, 0.218027695153655, 0.2192565585320207, 0.2206684727886439, 0.22230692528971166, 0.22423166352349713, 0.2265267633201159, 0.22931394732839813, 0.23277554375924889, 0.23719614342659157, 0.24304297404992095, 0.25113304568409606, 0.26301464080771148, 0.28194652549370852, 0.31581336291502154, 0.38740393188874872, 0.56897494551588079, 0.75509170682875992, 0.36820750113030287, 0.23121422165912539, 0.20052092988761183, 0.19286560803096334, 0.19144310514754415, 0.19199796660012339, 0.19321514721809621, 0.19463422786966234, 0.19608417783633048, 0.19750269492325997, 0.19887113012330987, 0.20018894366224951, 0.20146306711131332, 0.20270331641083739, 0.20392039858917713, 0.20512507154594942, 0.20632782434026187, 0.20753878773553999, 0.20876773589892514, 0.21002410848589231, 0.21131701300044561, 0.21265518000038938, 0.21404684738997637, 0.21549954906886565, 0.21701978005302486, 0.21861250678545005, 0.22028048994071855, 0.22202339072171653, 0.22383664489614905, 0.22571011747381919, 0.22762660153823722, 0.2295603024422132, 0.2314755527583279, 0.23332612112626053, 0.23505557691714507, 0.2365991969566848, 0.23788778069885694, 0.23885342084956379, 0.23943676361704, 0.23959469881879433, 0.23930696527562362, 0.23858009314947914, 0.23744757432646865, 0.23596606342375168, 0.23420844047260009, 0.23225530825624607, 0.230186688847934, 0.22807532961605301, 0.22598235995761612, 0.22395535537603375, 0.2220283802260265, 0.22022336435699019, 0.21855217585281325, 0.21701888681948492, 0.21562190294676278, 0.21435578359009555, 0.21321269336164575, 0.21218349686016116, 0.21125854401075592, 0.21042820589902878, 0.20968321982796098, 0.2090148946468999, 0.20841521757899928, 0.2078768941841532, 0.2073933448119335, 0.20695867424158065, 0.20656762610673002, 0.20621552993196385, 0.20589824589687433, 0.20561211053921105, 0.2053538853004554, 0.20512070893832665, 0.20491005425486289, 0.20471968922317135, 0.20454764237374498, 0.20439217217518182, 0.20425174008120375, 0.2041249868934088, 0.2040107120917827, 0.2039078558023463, 0.2038154830966466, 0.20373277034674961, 0.20365899338917751, 0.20359351728027708, 0.20353578745282325, 0.20348532210883868, 0.20344170570647932, 0.20340458341944187, 0.20337365646581004, 0.20334867821981284, 0.20332945103481606, 0.20331582371927298, 0.20330768961955861, 0.20330498527483212, 0.20330543067689605, 0.20330676744140991, 0.20330899724444357, 0.20331212288312367, 0.20331614828117031, 0.20332107849666942, 0.20332691973212125, 0.20333367934679383, 0.20334136587143228, 0.20334998902537851, 0.20335955973616462, 0.20337009016165444, 0.20338159371482234, 0.2033940850912504, 0.20340758029947312, 0.20342209669426214, 0.20343765301300182, 0.20345426941528599, 0.20347196752590349, 0.20349077048137815, 0.20351070298025323, 0.20353179133733743, 0.20355406354212147, 0.20357754932162395, 0.20360228020792978, 0.2036282896107128, 0.20365561289506021, 0.20368428746494313, 0.20371435285271569, 0.20374585081504093, 0.20377882543570147, 0.203813323235773, 0.2038493932916938, 0.20388708736180891, 0.20392646002201648, 0.20396756881121181, 0.2040104743872781, 0.20405524069445294, 0.20410193514296948, 0.20415062880197465, 0.20420139660680528, 0.20425431758182355, 0.20430947508013442, 0.20436695704163771, 0.20442685627102355, 0.20448927073749204, 0.20455430389816254, 0.20462206504736744, 0.20469266969425426, 0.20476623997141319, 0.20484290507755304, 0.20492280175760708, 0.2050060748240663, 0.20509287772379731, 0.20518337315515342, 0.20527773374078878, 0.20537614276231758, 0.2054787949637748, 0.20558589743179778, 0.20569767056156846, 0.2058143491188581, 0.20593618341004638, 0.20606344057377876, 0.2061964060100541, 0.20633538496503889, 0.20648070429287205, 0.20663271441929659, 0.20679179153616545, 0.20695834006099834, 0.20713279540186919, 0.20731562707535586, 0.20750734223427691, 0.20770848967293606, 0.20791966439106055, 0.20814151281413251, 0.20837473878827323, 0.20862011049316073, 0.20887846844805524, 0.20915073482557708, 0.20943792433769554, 0.20974115702141985, 0.2100616733319528, 0.21040085205377254, 0.21076023167244395, 0.2111415360215135, 0.21154670524278843, 0.21197793339277296, 0.21243771441826187, 0.21292889874545737, 0.21345476342973321, 0.21401909976942374, 0.21462632360130435, 0.21528161532168785, 0.21599109924438004, 0.21676207556176813, 0.21760332345016306, 0.21852550158639616, 0.21954168384122597, 0.22066808533003363, 0.22192506088390968, 0.22333850037708131, 0.22494181368480251, 0.22677881108661221, 0.22890797723713049, 0.23140897437395813, 0.23439282403108314, 0.23801837681907695, 0.24251997421733418, 0.24825598038642363, 0.25579839202693183, 0.26610856345831402, 0.28090723251120081, 0.30352140304467479, 0.34100934177673886, 0.40989375207761786, 0.54949286142988596, 0.78757246298850614, 0.7343587583855542, 0.42025811048030703, 0.28061983103157123, 0.22997329008182227, 0.20950873003793152, 0.20031771847209481, 0.19588228884045694, 0.19365385296983093, 0.19252940463977278, 0.19200273136388635, 0.19184866804600267, 0.19200273136388615, 0.19252940463977308, 0.19365385296983262, 0.19588228884045827, 0.2003177184720949, 0.20950873003795173, 0.22997329008179992, 0.28061983103154842, 0.42025811048008604, 0.73435875838522047, 0.78757246298838857, 0.54949286142975939, 0.40989375207761436, 0.3410093417767443, 0.30352140304466729, 0.28090723251121408, 0.26610856345830386, 0.25579839202691701, 0.24825598038642441, 0.24251997421733856, 0.238018376819077, 0.23439282403108463, 0.23140897437395708, 0.22890797723712969, 0.22677881108661185, 0.22494181368480121, 0.22333850037708236, 0.22192506088390881, 0.22066808533003349, 0.21954168384122713, 0.21852550158639547, 0.21760332345016306, 0.2167620755617688, 0.21599109924438034, 0.21528161532168777, 0.21462632360130399, 0.21401909976942352, 0.21345476342973346, 0.21292889874545726, 0.2124377144182624, 0.21197793339277338, 0.2115467052427881, 0.21114153602151386, 0.21076023167244404, 0.21040085205377207, 0.21006167333195261, 0.20974115702142004, 0.20943792433769581, 0.20915073482557722, 0.2088784684480556, 0.20862011049316104, 0.2083747387882727, 0.20814151281413221, 0.20791966439106072, 0.20770848967293609, 0.20750734223427658, 0.20731562707535617, 0.20713279540186913, 0.20695834006099789, 0.20679179153616506, 0.2066327144192962, 0.20648070429287219, 0.20633538496503886, 0.2061964060100544, 0.20606344057377868, 0.20593618341004663, 0.20581434911885799, 0.20569767056156826, 0.2055858974317975, 0.20547879496377502, 0.20537614276231761, 0.20527773374078859, 0.2051833731551535, 0.20509287772379764, 0.20500607482406669, 0.20492280175760716, 0.20484290507755301, 0.20476623997141313, 0.20469266969425393, 0.20462206504736752, 0.2045543038981629, 0.20448927073749193, 0.20442685627102331, 0.20436695704163754, 0.20430947508013445, 0.20425431758182369, 0.20420139660680534, 0.20415062880197452, 0.20410193514296918, 0.20405524069445297, 0.20401047438727818, 0.20396756881121178, 0.20392646002201623, 0.20388708736180891, 0.20384939329169399, 0.20381332323577317, 0.20377882543570119, 0.20374585081504085, 0.20371435285271522, 0.20368428746494305, 0.20365561289506035, 0.20362828961071289, 0.20360228020792953, 0.20357754932162381, 0.20355406354212133, 0.20353179133733726, 0.20351070298025359, 0.20349077048137793, 0.20347196752590382, 0.20345426941528635, 0.20343765301300182, 0.20342209669426201, 0.20340758029947331, 0.2033940850912509, 0.20338159371482217, 0.2033700901616548, 0.20335955973616462, 0.20334998902537849, 0.20334136587143239, 0.20333367934679375, 0.20332691973212122, 0.20332107849666956, 0.20331614828117009, 0.20331212288312384, 0.20330899724444376, 0.20330676744141019, 0.2033054306768961, 0.20330498527483157, 0.20330520795943224, 0.20330587609514525, 0.20330698992773003, 0.20330854986686125, 0.20331055648624699, 0.20331301052379125, 0.20331591288179898, 0.2033192646272306, 0.20332306699199915, 0.20332732137330803, 0.20333202933403582, 0.20333719260315689, 0.203342813076208, 0.20334889281578522, 0.20335543405208467, 0.20336243918347291, 0.20336991077709377, 0.20337785156950053, 0.20338626446732264, 0.20339515254794813, 0.20340451906023896, 0.20341436742525718, 0.20342470123700812, 0.20343552426319814, 0.20344684044599698, 0.20345865390280493, 0.20347096892701461, 0.20348378998877384, 0.20349712173572837, 0.20351096899374915, 0.20352533676763768, 0.2035402302417971, 0.2035556547808661, 0.20357161593030465, 0.20358811941692981, 0.20360517114938195, 0.20362277721852309, 0.20364094389774734, 0.20365967764320167, 0.20367898509389959, 0.20369887307171289, 0.20371934858124041, 0.20374041880952365, 0.2037620911256087, 0.20378437307992656, 0.20380727240348787, 0.20383079700686305, 0.20385495497893485, 0.20387975458540256, 0.20390520426701508, 0.20393131263751607, 0.20395808848126895, 0.2039855407505457, 0.20401367856244737, 0.2040425111954341, 0.20407204808542917, 0.20410229882147796, 0.20413327314091423, 0.2041649809240193, 0.20419743218812514, 0.20423063708113257, 0.20426460587440753, 0.2042993489550117, 0.20433487681723628, 0.20437120005338746, 0.2044083293437918, 0.20444627544596758, 0.20448504918292915, 0.20452466143056627, 0.20456512310406608, 0.20460644514332071, 0.20464863849727963, 0.20469171410720122, 0.20473568288875596, 0.20478055571293832, 0.20482634338574229, 0.20487305662656635, 0.20492070604530066, 0.20496930211806991, 0.20501885516159746, 0.20506937530616895, 0.20512087246717514, 0.20517335631521894, 0.20522683624479732, 0.20528132134154678, 0.20533682034809109, 0.20539334162851017, 0.20545089313148857, 0.2055094823522001, 0.20556911629302688, 0.2056298014232083, 0.20569154363756148, 0.20575434821443375, 0.20581821977307255, 0.20588316223065273, 0.20594917875920624, 0.20601627174278409, 0.20608444273518392, 0.20615369241865042, 0.20622402056401296, 0.20629542599276154, 0.20636790654165513, 0.20644145903049405, 0.20651607923379248, 0.20659176185713568, 0.20666850051911026, 0.2067462877397806, 0.20682511493676253, 0.20690497243005884, 0.20698584945691428, 0.20706773419805724, 0.20715061381678437, 0.20723447451248647, 0.20731930159028958, 0.20740507954862969, 0.20749179218666233, 0.20757942273354474, 0.20766795400171981, 0.20775736856644603, 0.207847648973916, 0.20793877798039784, 0.20803073882493833, 0.20812351553822386, 0.20821709329029928, 0.20831145877988033, 0.20840660066808755, 0.20850251005944059, 0.20859918103303454, 0.20889376152265762, 0.20919540271484946, 0.20950483997636829, 0.20982357812071356, 0.21015418614862316, 0.21050066061196759, 0.2108688731085207, 0.21126712715741711, 0.21170686716466583, 0.21220361219228431, 0.21277823788484854, 0.21345881568716318, 0.21428336702746134, 0.21530415679097398, 0.21659465136914885, 0.21826125812865813, 0.22046404383282711, 0.22345529577094103, 0.22765610062316635, 0.23382122349598944, 0.24343247009494384, 0.25977064239877995, 0.29139371328986341, 0.36610126850599611, 0.58381949711878156, 0.649217310891405, 0.29380811457292166, 0.21024823038574153, 0.19012342486660996, 0.1840606878590354, 0.18207049162792563, 0.18146371837385858, 0.18135472251389068, 0.18141082415775961, 0.1814961001066111, 0.18155214375280548, 0.18155315891112203, 0.18148749684783769, 0.18134954712923052, 0.18113599862717705, 0.18084406644965728, 0.18047067124248781, 0.18001215467098827, 0.17946442252626849, 0.17882364499540429, 0.17808796859081136, 0.17726133750286058, 0.17636201685518005, 0.1754422138918352, 0.17463573281474987, 0.17428287040655452, 0.1752936661855766, 0.18036543607955957, 0.1989313445317564, 0.27257891240415322, 0.58413112656084965, 0.74485530204439865, 0.46158400819658385, 0.34073641930061388, 0.2889872784352967, 0.26221971629550778, 0.24632155062203517, 0.23591877613569567, 0.2286140601513007, 0.22320128151827259, 0.21901539899832237, 0.21566252991646201, 0.21289563852597976, 0.21055234135770737, 0.2085216310012564, 0.20672506976261534, 0.20510568175948993, 0.20362117357431897, 0.20223972937329496, 0.20093744904639266, 0.19969695637486523, 0.1985070039072388, 0.19736316247703611, 0.19627001258167162, 0.19524580801179375, 0.19433167241514032, 0.19360974518768165, 0.19324016085006249, 0.19354038812093693, 0.19516737441814749, 0.19957270941904684, 0.21026401104929246, 0.23673741679690674, 0.30785063859753642, 0.50452951710102767, 0.78551746040569448, 0.66655148872024095, 0.4768635397796146, 0.37689527605886508, 0.32453927172602798, 0.29423566546630553, 0.27504252357205866, 0.26199825552036077, 0.25263550152609543, 0.24562104068467652, 0.24018299088202677, 0.23584837370746836, 0.23231346120204507, 0.22937544330739684, 0.22689437489849637, 0.22477096356882764, 0.2229330678007527, 0.22132719605863144, 0.2199129872678284, 0.21865952845603101, 0.21754283804965821, 0.21654410824113773, 0.21564845329575213, 0.21484400222193523, 0.2141212303307905, 0.21347245942964316, 0.21289147899668157, 0.21237325548505806, 0.21191370677968993, 0.21150952553232494, 0.21115803972294461, 0.21085710203133209, 0.21060500189966858, 0.21040039581959072, 0.21024225258177204, 0.21012981111675791, 0.21006254922509743, 0.21004016200897047, 0.210055084478008, 0.21009989038622551, 0.21017469630009744, 0.21027970006213198, 0.21041518621386671, 0.21058153374290606, 0.21077922631857102, 0.21100886524214155, 0.21127118541112117, 0.21156707468638603, 0.2118975971615614, 0.21226402097207389, 0.21266785145540734, 0.21311087069536278, 0.21359518476646724, 0.21412328036014472, 0.21469809294938669, 0.215323089270885, 0.2160023677255444, 0.21674078139317041, 0.21754408982903917, 0.21841914780799401, 0.21937414192123633, 0.22041888972839987, 0.22156522149166386, 0.22282747207542519, 0.2242231214611459, 0.22577363817091431, 0.22750560334349229, 0.22945222847669364, 0.23165543382310971, 0.23416873857574233, 0.23706134784712096, 0.24042403908889251, 0.24437781285506624, 0.24908689119537977, 0.25477873144394719, 0.26177567987541384, 0.27054652413804287, 0.28179314347159395, 0.29660099743581564, 0.31670870652684724, 0.34500125300961865, 0.38640039483977928, 0.44925851809048739, 0.54593561326172357, 0.68201122084486621, 0.79972766069489098, 0.74968071463829544, 0.56305929375084107, 0.40740488352747067, 0.3163940384582683, 0.26637596648165579, 0.23820808356283632, 0.22166324340085031, 0.21154793564441249, 0.20515470890409812, 0.20100889004906192, 0.19827048644727463, 0.19644109352691388, 0.19521428190731815, 0.19439592395511454, 0.1938600633248431, 0.1935236191824726, 0.19333148856734345, 0.19324763704038006, 0.19324981504426927, 0.19332663398207922, 0.19347637232038079, 0.19370731184532358, 0.19403978525317966, 0.19451059093502687, 0.19518120223313934, 0.1961526575428667, 0.19759303263647399, 0.1997900629364775, 0.20325722840425603, 0.20896154654294402, 0.21885076452712296, 0.23718172527587891, 0.27415524596410462, 0.35597614137001032, 0.53977868470731849, 0.78497485621775165, 0.71588817532045901, 0.51671061476605629, 0.39767399613439219, 0.33454688188439402, 0.29872209540447664, 0.27667238883887341, 0.26214129716450546, 0.25202848808589184, 0.24467789629477546, 0.23914425863495514, 0.23485688353940121, 0.23145458955352569, 0.22869952106594821, 0.22642966182114521, 0.22453142182720082, 0.22292315858499176, 0.22154491512203464, 0.22035182821220195, 0.21930977653235476, 0.21839243675290471, 0.21757924816193858, 0.21685397752851462, 0.21620368901598794, 0.21561799271108126, 0.21508848815560502, 0.21460834653304706, 0.21417199287761568, 0.21377486139989255, 0.21341320492024876, 0.21308394480501641, 0.21278455155378342, 0.21251294883001379, 0.21226743561420044, 0.21204662252238557, 0.21184937932978565, 0.21167479147591156, 0.211522123877183, 0.21139079078659459, 0.21128033075328403, 0.21119038597361253, 0.21112068550796037, 0.21107103197769023, 0.21104129146493916, 0.21103138642212305], [0.21115953865248352, 0.21117996714846793, 0.2112413696590375, 0.21134410201229034, 0.21148877334921104, 0.21167627107902864, 0.21190779752258038, 0.21218492014087806, 0.2125096380891052, 0.21288446895941471, 0.21331256111411104, 0.21379783916389605, 0.21434519321723516, 0.21496072698611002, 0.21565208642294598, 0.21642890048190316, 0.21730338082284939, 0.21829115115010383, 0.21941241519628318, 0.22069363546572932, 0.22217000178645688, 0.22388915581334123, 0.22591697697085403, 0.22834687651976551, 0.23131531611099501, 0.23502892147257312, 0.2398144740726833, 0.24621725972547401, 0.2552105534838921, 0.26868834403810526, 0.29077929433458005, 0.33194712732564791, 0.42400794292400973, 0.65645280228079861, 0.66314359409734569, 0.30927288612058429, 0.21934847844620112, 0.19835188154184144, 0.19316035920849961, 0.19249054082563555, 0.19329624625741137, 0.19459502155985986, 0.19603434920933424, 0.19748242217341408, 0.19889230374358283, 0.20025162539258351, 0.20156244545895513, 0.2028327495113319, 0.20407276189686108, 0.20529334733228158, 0.20650535006022108, 0.20771935773612291, 0.20894565192743711, 0.2101942295804812, 0.21147483534731654, 0.21279696928206318, 0.2141698439875033, 0.21560226710681507, 0.21710242268633695, 0.21867752047134836, 0.22033327741366499, 0.22207319280810153, 0.22389758087904421, 0.22580233727406054, 0.22777744556830615, 0.22980528450198143, 0.23185888313445494, 0.23390039032905913, 0.23588016412759183, 0.23773700975520129, 0.23940013804979085, 0.24079329511202496, 0.24184115797966113, 0.24247749922428771, 0.24265392179952192, 0.24234741480822386, 0.24156488685424177, 0.24034337448310089, 0.2387456944201734, 0.23685251903937277, 0.23475271832754144, 0.23253401549895739, 0.23027556285215897, 0.22804324611633103, 0.22588772880843147, 0.22384470165528739, 0.22193657669626274, 0.22017489641207766, 0.21856289811142143, 0.21709787916181286, 0.21577318643970994, 0.21457977941102124, 0.21350739129688351, 0.2125453486341593, 0.21168311992383645, 0.21091066030110217, 0.21021860905841472, 0.20959838507811746, 0.20904221420238647, 0.20854311328939359, 0.20809484839218584, 0.20769187898732974, 0.2073292961661467, 0.20700275985478966, 0.20670843815798917, 0.20644295058648621, 0.20620331604594527, 0.2059869058981364, 0.20579140205412427, 0.2056147598533006, 0.20545517537205601, 0.20531105675763103, 0.20518099917315422, 0.20506376295355289, 0.20495825459872322, 0.20486351026345803, 0.20477868143901584, 0.20470302255628003, 0.20463588027383314, 0.20457668424512504, 0.20452493918698314, 0.20448021809695038, 0.204442156489482, 0.2044104475410938, 0.20438483805242971, 0.2043651251511743, 0.20435115367406326, 0.20434281417924788, 0.20434004155217436, 0.20434049824499262, 0.20434186889761533, 0.20434415523369165, 0.20434736012978322, 0.20435148762110561, 0.20435654290958921, 0.20436253237430055, 0.20436946358425556, 0.20437734531367635, 0.20438618755975135, 0.20439600156296242, 0.20440679983005763, 0.20441859615976546, 0.20443140567133192, 0.20444524483601867, 0.20446013151165804, 0.20447608498042405, 0.20449312598995523, 0.2045112767980059, 0.20453056122080135, 0.20455100468529347, 0.20457263428554856, 0.20459547884348492, 0.20461956897423469, 0.2046449371564048, 0.2046716178075467, 0.20469964736516855, 0.20472906437365421, 0.20475990957749093, 0.20479222602122971, 0.20482605915665905, 0.20486145695770069, 0.20489847004359107, 0.20493715181095981, 0.20497755857547451, 0.20501974972378642, 0.20506378787657448, 0.20510973906356839, 0.20515767291150813, 0.20520766284610545, 0.20525978630916161, 0.2053141249921219, 0.20537076508747981, 0.20542979755958324, 0.20549131843656582, 0.20555542912530722, 0.20562223675153482, 0.2056918545274182, 0.2057644021492635, 0.2058400062282289, 0.20591880075731822, 0.206000927618296, 0.20608653713262517, 0.20617578866102537, 0.20626885125685487, 0.2063659043791754, 0.20646713867215935, 0.20657275681839252, 0.20668297447467954, 0.20679802130019018, 0.20691814208821505, 0.20704359801448216, 0.20717466801696011, 0.20731165032441856, 0.20745486415378153, 0.20760465159959002, 0.20776137974284034, 0.20792544301113175, 0.20809726582774599, 0.20827730559406024, 0.20846605605798349, 0.20866405113112479, 0.20887186922966969, 0.20909013822898317, 0.20931954114045148, 0.20956082264200673, 0.20981479662223559, 0.21008235493353916, 0.21036447759445362, 0.21066224473757775, 0.21097685067101157, 0.21130962051244612, 0.21166202997212172, 0.21203572901217924, 0.21243257030671375, 0.21285464368462986, 0.21330431807764327, 0.21378429294847651, 0.21429766178177592, 0.21484799104292271, 0.21543941913495435, 0.21607678143848016, 0.21676576969242073, 0.21751313704744635, 0.2183269645304545, 0.21921701106504879, 0.22019517865239879, 0.22127613851955116, 0.22247818575983763, 0.22382442386858553, 0.22534443459818559, 0.22707667680060606, 0.22907200597808802, 0.23139896215089317, 0.2341519308479465, 0.23746412996347327, 0.24152901561140963, 0.2466370295480764, 0.25324174959853396, 0.26208580634279033, 0.27445693733885118, 0.2927510122998313, 0.32182695728772726, 0.37258146062158154, 0.47160042503458072, 0.67213634462603722, 0.84583139867350765, 0.55330144749725463, 0.32820271025520426, 0.24727730015143931, 0.21680746778574084, 0.20390106113599926, 0.19794030737077034, 0.19503837801972931, 0.19359111598911599, 0.1928747939396056, 0.19254714174889193, 0.19245289233976026, 0.19254714174889187, 0.19287479393960574, 0.1935911159891171, 0.19503837801973006, 0.19794030737077042, 0.20390106113601209, 0.21680746778572652, 0.24727730015142471, 0.32820271025507847, 0.55330144749693178, 0.84583139867350121, 0.67213634462586203, 0.47160042503456778, 0.37258146062159081, 0.32182695728771704, 0.29275101229984657, 0.27445693733883919, 0.26208580634277268, 0.25324174959853479, 0.24663702954808131, 0.24152901561140977, 0.23746412996347493, 0.23415193084794539, 0.2313989621508922, 0.22907200597808761, 0.22707667680060462, 0.22534443459818684, 0.22382442386858456, 0.22247818575983755, 0.2212761385195523, 0.22019517865239807, 0.21921701106504884, 0.2183269645304553, 0.21751313704744665, 0.21676576969242076, 0.21607678143847972, 0.21543941913495412, 0.21484799104292296, 0.21429766178177573, 0.21378429294847706, 0.21330431807764366, 0.21285464368462953, 0.21243257030671403, 0.21203572901217932, 0.21166202997212122, 0.21130962051244592, 0.21097685067101177, 0.21066224473757802, 0.2103644775944537, 0.21008235493353961, 0.20981479662223582, 0.20956082264200615, 0.20931954114045112, 0.20909013822898337, 0.20887186922966963, 0.20866405113112454, 0.20846605605798368, 0.20827730559406024, 0.20809726582774551, 0.20792544301113136, 0.20776137974283995, 0.20760465159959016, 0.2074548641537815, 0.20731165032441889, 0.20717466801696011, 0.20704359801448238, 0.20691814208821496, 0.20679802130018998, 0.20668297447467926, 0.20657275681839282, 0.20646713867215932, 0.2063659043791751, 0.20626885125685496, 0.20617578866102579, 0.20608653713262559, 0.20600092761829605, 0.20591880075731817, 0.2058400062282289, 0.20576440214926314, 0.20569185452741828, 0.20562223675153513, 0.20555542912530705, 0.20549131843656562, 0.20542979755958315, 0.20537076508747987, 0.20531412499212204, 0.20525978630916164, 0.20520766284610531, 0.20515767291150777, 0.20510973906356841, 0.20506378787657456, 0.20501974972378637, 0.20497755857547426, 0.20493715181095976, 0.20489847004359132, 0.20486145695770089, 0.20482605915665875, 0.2047922260212296, 0.20475990957749055, 0.20472906437365412, 0.20469964736516871, 0.20467161780754686, 0.20464493715640458, 0.20461956897423461, 0.2045954788434847, 0.20457263428554837, 0.20455100468529386, 0.20453056122080115, 0.20451127679800626, 0.20449312598995548, 0.20447608498042413, 0.20446013151165798, 0.20444524483601886, 0.20443140567133242, 0.20441859615976529, 0.20440679983005797, 0.20439600156296234, 0.20438618755975141, 0.20437734531367646, 0.20436946358425542, 0.20436253237430052, 0.20435654290958929, 0.20435148762110539, 0.2043473601297833, 0.20434415523369182, 0.20434186889761558, 0.20434049824499267, 0.20434004155217389, 0.20434026988165757, 0.20434095495401169, 0.20434209702097242, 0.20434369650217915, 0.20434575398529742, 0.20434827022618984, 0.20435124614912881, 0.20435468284706304, 0.20435858158192838, 0.20436294378500089, 0.20436777105729859, 0.20437306517002216, 0.20437882806504304, 0.20438506185542413, 0.20439176882598561, 0.20439895143390438, 0.2044066123093489, 0.20441475425614514, 0.20442338025247589, 0.20443249345159928, 0.20444209718260306, 0.20445219495116937, 0.20446279044036109, 0.20447388751142309, 0.20448549020459061, 0.20449760273990486, 0.20451022951802447, 0.2045233751210406, 0.2045370443132731, 0.20455124204205452, 0.20456597343849245, 0.20458124381820089, 0.20459705868199535, 0.20461342371654215, 0.20463034479495945, 0.20464782797735062, 0.20466587951127121, 0.20468450583210968, 0.20470371356338099, 0.20472350951691326, 0.20474390069291554, 0.20476489427992359, 0.20478649765459314, 0.20480871838134238, 0.20483156421181389, 0.20485504308415078, 0.20487916312206178, 0.20490393263365844, 0.20492936011004523, 0.20495545422364064, 0.2049822238262099, 0.20500967794657954, 0.20503782578801619, 0.20506667672523829, 0.20509624030103696, 0.2051265262224736, 0.20515754435663125, 0.20518930472587454, 0.20522181750260338, 0.20525509300345068, 0.2052891416828963, 0.20532397412625933, 0.20535960104202558, 0.20539603325347869, 0.20543328168958444, 0.20547135737509545, 0.20551027141982284, 0.20555003500704364, 0.20559065938098361, 0.2056321558333456, 0.20567453568882654, 0.20571781028958139, 0.2057619909785916, 0.20580708908188919, 0.20585311588959498, 0.20590008263572823, 0.20594800047675327, 0.20599688046881742, 0.2060467335436573, 0.20609757048313815, 0.20614940189240968, 0.20620223817165753, 0.206256089486442, 0.20631096573663432, 0.20636687652394495, 0.20642383111808815, 0.20648183842160214, 0.20654090693339372, 0.20660104471106688, 0.20666225933214113, 0.2067245578542628, 0.20678794677456003, 0.20685243198830974, 0.2069180187471146, 0.20698471161684032, 0.20705251443557104, 0.20712143027192878, 0.20719146138410446, 0.20726260918002601, 0.20733487417914795, 0.20740825597638393, 0.20748275320880058, 0.20755836352573068, 0.20763508356306817, 0.20771290892256425, 0.20779183415704316, 0.20787185276255157, 0.20795295717853127, 0.20803513879722615, 0.20811838798362783, 0.2082026941073829, 0.20828804558817396, 0.2083744299562369, 0.20846183392975715, 0.20855024351103799, 0.20863964410342428, 0.20873002065110779, 0.20882135780404093, 0.20891364011030808, 0.2090068522384132, 0.20910097923204357, 0.20919600679998707, 0.20929192164395014, 0.20938871182714178, 0.20948636718654359, 0.20958487979189364, 0.20968424445444619, 0.20978445928867701, 0.21009024890893715, 0.21040408110666636, 0.21072687760116329, 0.21106038808246017, 0.21140750489093291, 0.21177265365616704, 0.21216227872758225, 0.21258545387933483, 0.21305466941822493, 0.21358688227137468, 0.2142049758240285, 0.21493987936075004, 0.21583377800538106, 0.21694517434676019, 0.21835719456959038, 0.22019180680288453, 0.22263535457334813, 0.22598710314330989, 0.23075823731409845, 0.23789227463400786, 0.24931417308989112, 0.26951458897555369, 0.31108915615074922, 0.41856866854344532, 0.70702588357271423, 0.48386270888078858, 0.24976857141312206, 0.20100497639365167, 0.18819844845349126, 0.18419209848705312, 0.18290382363531874, 0.1825645141608811, 0.18256184949308579, 0.1826587826291759, 0.18275698301865553, 0.18281411876536816, 0.18281170117231205, 0.18274155626537564, 0.18259978507790162, 0.18238394842079728, 0.18209172439292806, 0.18172028930240025, 0.18126611473626941, 0.18072510940663031, 0.18009322573991163, 0.17936791977988761, 0.17855138482607161, 0.1776577004924699, 0.17672909433281814, 0.17587480251290269, 0.17537073767077513, 0.17594109695781776, 0.17966603523244939, 0.19348190411552074, 0.24617293435155854, 0.47639532214978081, 0.80624979317554679, 0.51672208438237877, 0.36322970599015247, 0.30035483056375017, 0.26914754037333938, 0.25113981679075598, 0.23959642755158736, 0.23161401704479731, 0.22576927911678132, 0.22129293831152397, 0.21773650997241947, 0.21482228363313219, 0.2123696298800129, 0.21025615486697602, 0.20839600991255872, 0.20672719927096175, 0.20520387887005345, 0.20379157743462389, 0.20246424004178315, 0.2012025180246535, 0.19999305143829679, 0.19882874264454106, 0.19771030168733708, 0.1966497813348394, 0.1956776444153337, 0.19485663803432351, 0.19430966895710342, 0.19427839315164575, 0.19525420911717667, 0.19829501017992696, 0.20586899000407288, 0.22437633523654835, 0.27258918800216025, 0.40862461081730306, 0.70793753684326899, 0.75338549908190833, 0.53785406465701979, 0.40766600739786063, 0.34151110392185902, 0.30472809583304766, 0.28217546748451106, 0.26722478825796137, 0.2566977167302405, 0.24892892092543306, 0.24297820347302529, 0.2382811897919288, 0.23448156898613368, 0.23134477022315797, 0.22871085641626587, 0.22646749915793529, 0.22453379410017779, 0.22285020171018777, 0.22137208935042843, 0.22006546560812365, 0.21890409064965674, 0.21786747407864665, 0.21693945927861996, 0.21610720386785806, 0.21536043302607283, 0.21469088421945873, 0.21409188843694699, 0.21355805033111394, 0.21308500110725814, 0.21266920572655731, 0.21230781128416371, 0.21199852710955833, 0.21173952974041127, 0.21152938778593966, 0.21136700304933209, 0.21125156527576228, 0.21118251863913168, 0.21115953865248352, 0.21117485616842138, 0.21122084988952589, 0.21129764447484886, 0.21140545151031959, 0.21154457532396195, 0.21171542129961854, 0.2119185068725789, 0.21215447545916732, 0.21242411365465763, 0.21272837213435208, 0.21306839081715345, 0.21344552900704722, 0.21386140142535021, 0.21431792129846078, 0.21481735198966903, 0.21536236908303666, 0.21595613537511846, 0.21660239195111963, 0.21730556947913271, 0.21807092513787746, 0.21890471232648756, 0.21981439267186514, 0.22080890311596113, 0.22189899542542102, 0.22309767190751265, 0.22442075033249337, 0.22588760442980971, 0.2275221459987721, 0.22935414408705107, 0.23142102141401424, 0.23377033747308046, 0.23646327713177925, 0.23957964003431667, 0.24322511751091461, 0.24754213698154837, 0.25272641158452103, 0.2590528675328424, 0.26691745135833161, 0.27690669551448399, 0.28991741851391523, 0.30736979160361477, 0.33159791511900166, 0.36657360145512013, 0.41917584152765291, 0.50072317611926553, 0.62383210289100488, 0.7680415690136192, 0.80021926945218247, 0.63852613141444081, 0.45530529959640753, 0.34123608151766094, 0.27914530613386751, 0.24506726700170231, 0.22556966335975781, 0.21392429586290831, 0.20671196848976606, 0.20211771389770533, 0.19913142052843499, 0.19716568860288988, 0.1958654801517575, 0.19500897424980093, 0.19445369385114589, 0.19410610019414684, 0.19390386712343982, 0.19380528544722908, 0.1937828448060496, 0.19381938625038789, 0.1939059533183059, 0.19404090387761963, 0.19423014365627989, 0.19448860949855101, 0.19484346110262288, 0.19533996875862653, 0.19605206495728739, 0.1971015098459506, 0.19869389960086997, 0.20118958934832873, 0.20525185321973302, 0.21217912471658143, 0.22471474200499914, 0.24921061630653707, 0.30185959198209128, 0.42497161013872964, 0.67602004414027295, 0.80171738654743241, 0.60498769532679997, 0.44343877610223886, 0.35865174078963324, 0.31278224512224961, 0.2857210617834659, 0.26846703453018966, 0.25676089518679451, 0.2484190702851064, 0.24223689535789938, 0.23750706932389079, 0.23379211648193518, 0.23080938612398103, 0.2283694116703511, 0.22634115079499662, 0.22463150538414189, 0.22317278674100591, 0.22191478418109753, 0.22081959740565968, 0.2198581811922633, 0.21900798101567781, 0.21825128126445315, 0.21757402945980359, 0.21696498491288535, 0.21641509258617017, 0.21591701588665943, 0.21546478332637498, 0.21505351789872604, 0.21467922731229488, 0.2143386395348558, 0.21402907245372987, 0.21374832950536168, 0.21349461528875216, 0.21326646673104216, 0.2130626965036595, 0.21288234621868604, 0.21272464755265943, 0.21258898990787872, 0.21247489357063026, 0.21238198759102822, 0.21230999181127139, 0.21225870262373539, 0.2122279821590447, 0.21221775069616003], [0.21259653920844263, 0.21261760396210624, 0.21268092239618683, 0.21278687213168951, 0.21293609979106604, 0.21312954777168622, 0.21336849359976159, 0.21365460394911351, 0.21399000634091259, 0.21437738278630311, 0.21482009134654315, 0.21532232399235993, 0.21588931259266989, 0.21652759989256271, 0.21724539981008598, 0.2180530826852275, 0.21896383856868293, 0.21999459918421085, 0.2211673437267597, 0.22251098757103735, 0.22406417932362108, 0.22587955492949977, 0.2280304070831756, 0.23062151198385591, 0.23380743055246295, 0.23782495092537442, 0.24305395249591827, 0.25013969880371967, 0.26026022502271434, 0.27577631186215001, 0.30203861086109096, 0.35331206930717823, 0.47483474617835358, 0.74771492900358982, 0.53454028632812778, 0.27098823077229495, 0.2118362389027639, 0.1974214651737104, 0.19400456147987388, 0.19389658775578619, 0.19489279756772385, 0.19625385964569142, 0.19770880573395555, 0.19915611842529696, 0.20056087633671288, 0.2019156489997381, 0.2032245397842945, 0.20449636845829136, 0.20574169752399335, 0.20697155043439761, 0.20819689557156354, 0.20942847833199699, 0.21067680499171137, 0.21195218157891713, 0.21326475616572182, 0.21462453262656839, 0.21604133082079902, 0.21752466825434202, 0.21908353447711337, 0.22072602353621262, 0.2224587833629505, 0.22428623629096406, 0.22620952558631557, 0.22822515450226688, 0.23032331486957622, 0.23248596132930063, 0.23468478416567973, 0.23687937137093931, 0.23901601666901723, 0.24102778508925055, 0.24283651641470047, 0.24435732718163311, 0.24550577202202153, 0.24620713348942, 0.24640646896021914, 0.24607736638164088, 0.24522722470448485, 0.24389750673507543, 0.24215869065805176, 0.24010109359739853, 0.23782376015053425, 0.23542382397294284, 0.232988193686338, 0.23058844739343604, 0.22827888125674883, 0.22609703731157413, 0.22406580313780058, 0.2221962403193713, 0.22049051438274941, 0.21894454393028007, 0.21755019086558744, 0.21629695328465193, 0.21517320220800609, 0.21416703856766733, 0.21326685437258067, 0.21246167483913447, 0.21174134514351292, 0.21109661129871171, 0.21051913190915836, 0.21000144710541821, 0.20953692289138898, 0.20911968316042912, 0.20874453735100573, 0.20840690871920972, 0.20810276616440426, 0.20782856118515899, 0.20758117066136594, 0.20735784560524578, 0.20715616569223794, 0.20697399919754678, 0.20680946787387694, 0.20666091627550878, 0.20652688503990588, 0.2064060876649752, 0.20629739035790351, 0.2061997945738164, 0.20611242190546555, 0.20603450102643139, 0.20596535642877542, 0.20590439873107713, 0.20585111636423775, 0.20580506847043886, 0.20576587887545317, 0.20573323101642965, 0.20570686372669814, 0.20568656779637753, 0.20567218324299325, 0.2056635972402315, 0.20566074266568035, 0.205661212939966, 0.20566262435606342, 0.20566497869488756, 0.20566827892860368, 0.20567252922661183, 0.20567773496394839, 0.20568390273214843, 0.20569104035260241, 0.20569915689246177, 0.20570826268315393, 0.20571836934157844, 0.20572948979406303, 0.20574163830318115, 0.20575483049752027, 0.20576908340454189, 0.20578441548663748, 0.20580084668054766, 0.20581839844028788, 0.20583709378376636, 0.2058569573432816, 0.20587801542010556, 0.20590029604339788, 0.20592382903368281, 0.20594864607117724, 0.20597478076926259, 0.20600226875342928, 0.20603114774604481, 0.2060614576573363, 0.20609324068301021, 0.20612654140896311, 0.20616140692359222, 0.2061978869382482, 0.20623603391642997, 0.20627590321237482, 0.20631755321975373, 0.20636104553126061, 0.20640644510994394, 0.20645382047322433, 0.20650324389062225, 0.20655479159633669, 0.20660854401791282, 0.206664586022373, 0.20672300718132824, 0.20678390205674033, 0.20684737050918739, 0.2069135180306873, 0.20698245610435409, 0.207054302593428, 0.2071291821624979, 0.20720722673407532, 0.2072885759840499, 0.2073733778799777, 0.20746178926665415, 0.20755397650397289, 0.20765011616272913, 0.20775039578475687, 0.20785501471466181, 0.20796418501140113, 0.20807813244912607, 0.2081970976180563, 0.20832133713774312, 0.20845112499693969, 0.20858675403648219, 0.20872853759419246, 0.20887681133388011, 0.20903193528417635, 0.20919429611732493, 0.20936430970326977, 0.20954242398072348, 0.20972912219448953, 0.20992492655759015, 0.21013040240799474, 0.21034616294352318, 0.21057287463543617, 0.21081126344207121, 0.21106212196979754, 0.2113263177607731, 0.21160480292733791, 0.2118986254036469, 0.21220894214935429, 0.21253703472183796, 0.21288432773801186, 0.2132524108813571, 0.21364306528428834, 0.21405829534368276, 0.21450036732679903, 0.21497185652153994, 0.21547570521511378, 0.21601529449971946, 0.21659453387632452, 0.21721797396451784, 0.21789094948442583, 0.21861976228956764, 0.21941191795056564, 0.2202764347619692, 0.22122425191649156, 0.22226877531300956, 0.22342661722802881, 0.2247186135186206, 0.22617124530542099, 0.2278186619468297, 0.2297056177942163, 0.23189183224772333, 0.23445862896276276, 0.23751934070505198, 0.24123616138910134, 0.24584849604853953, 0.25172280526253438, 0.25944489450028019, 0.27000156710155809, 0.28516508479704211, 0.30837944398982792, 0.34700786987105448, 0.41849511954615243, 0.56503248386797278, 0.81374563792046462, 0.73187764203569705, 0.40961249908431574, 0.27561748193403368, 0.22814825658792667, 0.20928405854151277, 0.20098248133900168, 0.19708714739807201, 0.19520066150073298, 0.19428333732286768, 0.19384834039537777, 0.19365920546333348, 0.19360677519610742, 0.19365920546333348, 0.19384834039537779, 0.1942833373228684, 0.1952006615007334, 0.19708714739807218, 0.20098248133900956, 0.20928405854150392, 0.22814825658791876, 0.27561748193395652, 0.40961249908410402, 0.73187764203584083, 0.81374563792030918, 0.56503248386795979, 0.41849511954616198, 0.34700786987103999, 0.30837944398984907, 0.28516508479702662, 0.27000156710153683, 0.25944489450028063, 0.25172280526253998, 0.24584849604853989, 0.24123616138910323, 0.23751934070505062, 0.23445862896276162, 0.23189183224772286, 0.22970561779421478, 0.2278186619468309, 0.22617124530541996, 0.22471861351862046, 0.22342661722803003, 0.22226877531300876, 0.22122425191649153, 0.22027643476196995, 0.21941191795056589, 0.21861976228956773, 0.21789094948442547, 0.21721797396451761, 0.21659453387632482, 0.21601529449971935, 0.21547570521511439, 0.21497185652154036, 0.21450036732679864, 0.21405829534368312, 0.21364306528428834, 0.21325241088135657, 0.21288432773801164, 0.21253703472183819, 0.21220894214935454, 0.21189862540364698, 0.21160480292733827, 0.21132631776077332, 0.21106212196979704, 0.21081126344207082, 0.21057287463543634, 0.21034616294352323, 0.21013040240799447, 0.20992492655759037, 0.20972912219448944, 0.20954242398072301, 0.20936430970326941, 0.20919429611732446, 0.20903193528417646, 0.20887681133388009, 0.2087285375941928, 0.20858675403648219, 0.20845112499693993, 0.20832133713774306, 0.20819709761805608, 0.20807813244912582, 0.2079641850114014, 0.20785501471466175, 0.20775039578475663, 0.20765011616272919, 0.20755397650397314, 0.20746178926665451, 0.20737337787997767, 0.20728857598404987, 0.20720722673407532, 0.20712918216249759, 0.20705430259342808, 0.20698245610435445, 0.20691351803068719, 0.20684737050918711, 0.20678390205674016, 0.20672300718132836, 0.20666458602237309, 0.20660854401791293, 0.20655479159633658, 0.20650324389062194, 0.2064538204732243, 0.20640644510994396, 0.20636104553126056, 0.20631755321975348, 0.20627590321237477, 0.20623603391643019, 0.20619788693824831, 0.20616140692359192, 0.20612654140896305, 0.20609324068300977, 0.20606145765733619, 0.20603114774604492, 0.20600226875342934, 0.20597478076926243, 0.20594864607117708, 0.20592382903368267, 0.20590029604339771, 0.20587801542010592, 0.20585695734328141, 0.20583709378376672, 0.20581839844028818, 0.20580084668054774, 0.2057844154866374, 0.20576908340454206, 0.20575483049752086, 0.20574163830318096, 0.2057294897940633, 0.20571836934157842, 0.20570826268315395, 0.20569915689246188, 0.20569104035260241, 0.2056839027321484, 0.20567773496394851, 0.20567252922661164, 0.20566827892860379, 0.2056649786948877, 0.20566262435606375, 0.20566121293996603, 0.2056607426656798, 0.20566097778530643, 0.20566168323053172, 0.20566285926042135, 0.20566450630683433, 0.20566662497455224, 0.20566921604145819, 0.20567228045876171, 0.20567581935127743, 0.20567983401775239, 0.20568432593123717, 0.20568929673950831, 0.20569474826553258, 0.20570068250797977, 0.20570710164177194, 0.20571400801867989, 0.20572140416795417, 0.20572929279699653, 0.20573767679206206, 0.20574655921899943, 0.20575594332401126, 0.20576583253445274, 0.20577623045964372, 0.20578714089170419, 0.20579856780640701, 0.20581051536404021, 0.20582298791027806, 0.20583598997705199, 0.20584952628342498, 0.20586360173645091, 0.20587822143202308, 0.20589339065570342, 0.20590911488352306, 0.20592539978274754, 0.20594225121259935, 0.20595967522493369, 0.20597767806484787, 0.20599626617122666, 0.2060154461772033, 0.20603522491053383, 0.2060556093938673, 0.20607660684489784, 0.20609822467639594, 0.20612047049608909, 0.20614335210639209, 0.20616687750395793, 0.20619105487904441, 0.20621589261466972, 0.20624139928554086, 0.20626758365673614, 0.20629445468211768, 0.20632202150245743, 0.20635029344324377, 0.20637928001215256, 0.2064089908961512, 0.20643943595821132, 0.20647062523359697, 0.20650256892570665, 0.2065352774014228, 0.20656876118595344, 0.2066030309571176, 0.2066380975390453, 0.20667397189525363, 0.20671066512105754, 0.20674818843528273, 0.20678655317122951, 0.20682577076685552, 0.20686585275412467, 0.20690681074748929, 0.20694865643144733, 0.2069914015471436, 0.20703505787795956, 0.20707963723404876, 0.20712515143577837, 0.20717161229602685, 0.20721903160129734, 0.20726742109160592, 0.2073167924391103, 0.20736715722543653, 0.20741852691768028, 0.20747091284305111, 0.20752432616214422, 0.20757877784082371, 0.20763427862070841, 0.20769083898827836, 0.20774846914259773, 0.207807178961703, 0.20786697796768416, 0.20792787529052945, 0.20798987963080365, 0.2080529992212721, 0.20811724178758079, 0.20818261450815734, 0.20824912397350681, 0.20831677614511715, 0.2083855763142359, 0.20845552906079221, 0.20852663821282647, 0.20859890680679546, 0.2086723370491986, 0.20874693028003238, 0.20882268693862216, 0.20889960653247644, 0.20897768760985366, 0.20905692773683959, 0.20913732347979047, 0.20921887039410397, 0.20930156302037781, 0.20938539488909413, 0.20947035853509696, 0.20955644552322764, 0.2096436464866035, 0.20973195117912827, 0.20982134854396978, 0.20991182679983569, 0.21000337354703114, 0.21009597589538306, 0.21018962061626684, 0.21028429432108098, 0.21037998366864966, 0.21047667560415306, 0.2105743576323002, 0.21067301812759037, 0.21077264668459536, 0.21087323451133058, 0.21097477486885532, 0.21107726356037798, 0.21118069947319459, 0.21128508517693054, 0.21160403623280338, 0.21193213251231757, 0.21227050644599846, 0.21262118750029949, 0.21298744086914062, 0.2133741909673193, 0.21378855258301366, 0.21424050655462504, 0.21474378146137824, 0.21531704512702007, 0.21598558209226784, 0.21678375856471119, 0.2177587997479338, 0.21897681886609649, 0.22053284447690491, 0.2225682560032079, 0.22530269119451013, 0.2290961355295015, 0.23457926376489691, 0.24295455574295788, 0.25678339982582443, 0.28240640947254675, 0.33911781530496643, 0.49948707973786632, 0.75544527191251354, 0.35937673129593972, 0.22525287166929078, 0.19585206192087096, 0.1875422810750508, 0.18489415857260497, 0.18408793012855437, 0.18393451084410842, 0.18400435509375729, 0.18412698875365366, 0.18423097046667838, 0.1842856684068476, 0.18427796424550974, 0.18420224569017105, 0.18405587336957108, 0.18383704829368619, 0.1835437909740327, 0.18317347368909653, 0.18272267794488145, 0.18218733198399159, 0.18156323832095589, 0.18084732449209012, 0.18004039161616273, 0.179153136624673, 0.1782196868250023, 0.17732942772122828, 0.17670691533522323, 0.17693138330107888, 0.17961793992095662, 0.18991338570358968, 0.22788466570550545, 0.39035259936178629, 0.80886108700175818, 0.5898643491321075, 0.39291501739313955, 0.31477336252563559, 0.27772014158246955, 0.25702280035482283, 0.24405666225042963, 0.23524112151229781, 0.22887029357689528, 0.22404215035668998, 0.22023978971134908, 0.21714754724767735, 0.21456244293273216, 0.2123482509178472, 0.21041018920963911, 0.20868026373786577, 0.20710844082477925, 0.20565718228980642, 0.20429803587429524, 0.2030095846010847, 0.20177641669514937, 0.20058903285403212, 0.19944485938696038, 0.19835088943146981, 0.19732910603036533, 0.19642712465650605, 0.19573932304698163, 0.19545041750692144, 0.19593047910670872, 0.1979575776788558, 0.20328850409145049, 0.21629044457420948, 0.24920582370835553, 0.34026114207078872, 0.584508619596116, 0.80848329237662109, 0.61919595240421776, 0.4496478084117243, 0.36388506599291137, 0.31816377458667483, 0.29113847780410507, 0.27372185964510704, 0.26172151357390655, 0.25301389235850569, 0.24643300340783716, 0.24129465321035848, 0.23717487839583104, 0.23379886951486878, 0.23098168060910571, 0.22859484672297956, 0.22654671125953815, 0.22477036791659116, 0.22321601303612332, 0.22184594778298547, 0.22063122445798411, 0.2195493424217507, 0.21858263130586311, 0.21771709461619437, 0.21694156814070875, 0.21624709768068898, 0.21562647224447559, 0.21507386923347563, 0.21458458156329693, 0.21415480564899406, 0.21378147530693312, 0.21346213086487292, 0.21319481575039187, 0.21297799495046579, 0.21281049126897322, 0.212691436434161, 0.21262023494775983, 0.21259653920844263, 0.21261233373508859, 0.21265976163858497, 0.21273895711801019, 0.21285014795962096, 0.21299366181270865, 0.21316993516927121, 0.21337952525345441, 0.21362312510409601, 0.21390158222667693, 0.21421592130478309, 0.2145673716026138, 0.21495739986798193, 0.21538774977110836, 0.21586048920375747, 0.21637806713667523, 0.2169433822191259, 0.21755986594177992, 0.21823158402730725, 0.21896336083841578, 0.21976093310891168, 0.22063114136538386, 0.22158217024147459, 0.22262385282559288, 0.2237680597216524, 0.22502920138818858, 0.22642488369979297, 0.22797677332946117, 0.22971175430459009, 0.23166349449515383, 0.23387459833274843, 0.23639961229380166, 0.2393092941700615, 0.24269679380736633, 0.24668679022600787, 0.25144931469069404, 0.25722120343557964, 0.26434034299812725, 0.27330205668290558, 0.28485512025029414, 0.30017113192751443, 0.32115363253417767, 0.35101626015695786, 0.39535204093023957, 0.46383103344162074, 0.57062967395445696, 0.7181166691176728, 0.8203932203745895, 0.71864079506035672, 0.51663105753239291, 0.37413255521160854, 0.29603206575858104, 0.25413363839065156, 0.23078860802501214, 0.21717692719506484, 0.20892087920068936, 0.20375658662205845, 0.20045404111874787, 0.19831288153936732, 0.19691739108907924, 0.19601177995747368, 0.19543377576000504, 0.1950777847784817, 0.19487370876624169, 0.19477438980659043, 0.19474799640777002, 0.19477335420872027, 0.19483711769856785, 0.19493217631823379, 0.19505698795216067, 0.19521574244316184, 0.19541944699225414, 0.19568825842111032, 0.1960557543857589, 0.19657650342831967, 0.19733961586714963, 0.19849374629536615, 0.20029526826509228, 0.2032062975178095, 0.2081077794129306, 0.21680079910184472, 0.23329958441383919, 0.26750366857379049, 0.3461110580367161, 0.53347491518497614, 0.79931993249951361, 0.71667388546927857, 0.50896032471902519, 0.39196767610702676, 0.33139679302610975, 0.29732686040835771, 0.27641525345195012, 0.26263561085902026, 0.25303476436820826, 0.24604398138688227, 0.2407702756959488, 0.23667514926252584, 0.23341789435093449, 0.23077408797753363, 0.22859078424245358, 0.22676068028221272, 0.22520659625216119, 0.22387181213782764, 0.22271385983213876, 0.22170042332377696, 0.22080656390066417, 0.2200128005021606, 0.21930375519343354, 0.21866718012625586, 0.21809324701106864, 0.21757402039594873, 0.21710306169348892, 0.21667512756430071, 0.21628593730365711, 0.21593199131535132, 0.21561042784996989, 0.21531890872562726, 0.21505552724605531, 0.21481873331525708, 0.2146072720390709, 0.21442013304911145, 0.21425650848364108, 0.21411575808175298, 0.2139973802396247, 0.21390098817443329, 0.21382629056683899, 0.21377307622458414, 0.21374120244092762, 0.21373058682257862], [0.21450100725105459, 0.21452280034876517, 0.21458831180450597, 0.21469794359276767, 0.21485238423290792, 0.21505263761333324, 0.2153000654047485, 0.21559644536059613, 0.21594404883634344, 0.2163457422462603, 0.21680511909061595, 0.21732667188770408, 0.21791601723233894, 0.21858019289892983, 0.21932805441005343, 0.22017081142997713, 0.22112276444158299, 0.22220233409606477, 0.22343352761978869, 0.22484807367298695, 0.22648860716204175, 0.22841355347486414, 0.23070485885201741, 0.23348067795457556, 0.23691709753235377, 0.24128723559573265, 0.24703594581534144, 0.25493330675454995, 0.26641966109451032, 0.2844742388596227, 0.31613863178222001, 0.3811924368334586, 0.54314029644206419, 0.79169827748409349, 0.42434419034364834, 0.24697426677757711, 0.20748775621579027, 0.19757532597137042, 0.1954508906702736, 0.19577096307234798, 0.19691825269019125, 0.19833186602651776, 0.19980290941512921, 0.20125356708417241, 0.2026585349535675, 0.20401442379047258, 0.20532706201372841, 0.20660601607208409, 0.2078621955712803, 0.20910683245661177, 0.21035108690917773, 0.21160593868755684, 0.21288220158760146, 0.21419057976464595, 0.21554172135141328, 0.21694624025070902, 0.21841468154583052, 0.21995740443384112, 0.22158435129733595, 0.22330466394477677, 0.2251260996579324, 0.22705419277635994, 0.22909110600196306, 0.231234125698419, 0.23347378643562408, 0.23579167375867383, 0.23815806267725378, 0.24052970864264314, 0.24284830647920935, 0.24504032727317526, 0.24701904604065783, 0.24868945912033502, 0.2499563406705517, 0.25073487540975309, 0.25096229119668917, 0.25060807738972452, 0.24968018175704076, 0.24822532125452906, 0.2463230794332058, 0.24407520641788569, 0.24159274969277111, 0.23898386811953662, 0.23634447457756028, 0.23375267386068591, 0.23126685007383585, 0.22892655196823297, 0.22675508925531776, 0.2247628623723992, 0.22295072142672101, 0.22131294290043566, 0.2198396475293638, 0.21851863745867964, 0.21733671470318935, 0.2162805766822857, 0.21533738826831683, 0.21449511845944175, 0.21374271303601938, 0.21307015762864132, 0.21246847090695009, 0.21192965583163517, 0.21144662800564248, 0.21101313367970503, 0.21062366539432165, 0.21027338009731569, 0.20995802246836606, 0.20967385480406692, 0.20941759394300044, 0.20918635517689391, 0.20897760278682895, 0.20878910668339709, 0.20861890456296137, 0.2084652689826848, 0.20832667878101843, 0.20820179431245897, 0.20808943601583346, 0.20798856588812883, 0.20789827148739418, 0.20781775213651851, 0.20774630704382771, 0.20768332509608439, 0.20762827611470547, 0.2075807033971018, 0.2075402173923834, 0.20750649038467556, 0.2074792520784339, 0.20745828599882121, 0.20744342663683474, 0.20743455728383611, 0.20743160851375039, 0.2074320942928515, 0.20743355224503784, 0.20743598421620627, 0.207439393287007, 0.20744378377910019, 0.20744916126394211, 0.20745553257414376, 0.2074629058174392, 0.20747129039332102, 0.20748069701240676, 0.20749113771861133, 0.20750262591421029, 0.20751517638790054, 0.2075288053459525, 0.20754353044660312, 0.20755937083780174, 0.20757634719848275, 0.20759448178351964, 0.20761379847255645, 0.20763432282291414, 0.20765608212679237, 0.20767910547302507, 0.20770342381363818, 0.20772907003551308, 0.20775607903746948, 0.20778448781311526, 0.20781433553983883, 0.20784566367435767, 0.20787851605527644, 0.20791293901313551, 0.20794898148849475, 0.20798669515863144, 0.20802613457349217, 0.20806735730159776, 0.20811042408666158, 0.20815539901576469, 0.20820234969999821, 0.20825134746858459, 0.20830246757757762, 0.20835578943436689, 0.20841139683931909, 0.20846937824603554, 0.20852982704185982, 0.20859284185043991, 0.20865852685834277, 0.20872699216794341, 0.20879835417905102, 0.20887273600202319, 0.20895026790542512, 0.20903108780166471, 0.2091153417744383, 0.20920318465228729, 0.20929478063311591, 0.2093903039651232, 0.20948993969032839, 0.20959388445767554, 0.20970234741366262, 0.20981555117954317, 0.20993373292542311, 0.21005714555309338, 0.21018605900118273, 0.21032076168829453, 0.21046156211221745, 0.21060879062620225, 0.21076280141671677, 0.21092397471116936, 0.21109271924900552, 0.21126947505541058, 0.21145471656397027, 0.21164895614315404, 0.21185274809191915, 0.21206669318239274, 0.21229144384313192, 0.21252771009559582, 0.21277626638006783, 0.21303795943665371, 0.21331371744359434, 0.21360456066110076, 0.21391161388688118, 0.2142361211030398, 0.21457946278777273, 0.21494317648564518, 0.21532898138563006, 0.21573880785822327, 0.21617483316766811, 0.21663952492470043, 0.21713569431005211, 0.21766656172274937, 0.2182358383520506, 0.21884782832734687, 0.21950755769749972, 0.22022093872376844, 0.22099498113007965, 0.22183806648479346, 0.22276030847742298, 0.22377403158676004, 0.22489441525705955, 0.2261403730663111, 0.22753577128336611, 0.22911114691758527, 0.23090617643364111, 0.23297329923431859, 0.23538316461453285, 0.23823304425515837, 0.24166023159273334, 0.24586415357166461, 0.25114438711872661, 0.25796922745805151, 0.26710654065211387, 0.27989076198195673, 0.2988127163726419, 0.32894825856109405, 0.38176220674783778, 0.48549938638326751, 0.69658376984281967, 0.86385694974963967, 0.54585650282527087, 0.32379659311014847, 0.2462106735400261, 0.21739736976500429, 0.20538468281580319, 0.19996800525713365, 0.19742736198792385, 0.19622971257149935, 0.19568071043655572, 0.19544457580850499, 0.19535441509759002, 0.1953320231699269, 0.19535441509759011, 0.19544457580850505, 0.19568071043655613, 0.19622971257149957, 0.19742736198792402, 0.19996800525713881, 0.20538468281579766, 0.21739736976499918, 0.24621067353998211, 0.32379659311003162, 0.54585650282540532, 0.86385694974967564, 0.69658376984279935, 0.48549938638328627, 0.38176220674781775, 0.32894825856112214, 0.29881271637262208, 0.27989076198193108, 0.26710654065211459, 0.25796922745805828, 0.25114438711872711, 0.24586415357166691, 0.24166023159273187, 0.23823304425515723, 0.23538316461453232, 0.23297329923431698, 0.2309061764336425, 0.22911114691758405, 0.22753577128336602, 0.22614037306631232, 0.22489441525705861, 0.22377403158676001, 0.22276030847742373, 0.22183806648479382, 0.22099498113007976, 0.22022093872376802, 0.21950755769749952, 0.21884782832734709, 0.21823583835205043, 0.21766656172275001, 0.21713569431005247, 0.21663952492469996, 0.21617483316766861, 0.21573880785822333, 0.21532898138562961, 0.21494317648564498, 0.21457946278777296, 0.21423612110303997, 0.21391161388688124, 0.2136045606611012, 0.21331371744359454, 0.2130379594366531, 0.21277626638006758, 0.2125277100955961, 0.21229144384313198, 0.21206669318239238, 0.21185274809191934, 0.21164895614315393, 0.21145471656396977, 0.21126947505541019, 0.21109271924900508, 0.21092397471116953, 0.21076280141671666, 0.21060879062620264, 0.21046156211221737, 0.21032076168829469, 0.21018605900118267, 0.21005714555309324, 0.20993373292542286, 0.20981555117954342, 0.2097023474136627, 0.20959388445767524, 0.20948993969032859, 0.20939030396512345, 0.20929478063311635, 0.20920318465228729, 0.20911534177443822, 0.20903108780166471, 0.2089502679054247, 0.20887273600202322, 0.20879835417905132, 0.20872699216794321, 0.20865852685834252, 0.20859284185043983, 0.20852982704185996, 0.20846937824603567, 0.20841139683931928, 0.20835578943436675, 0.20830246757757737, 0.20825134746858462, 0.20820234969999832, 0.20815539901576469, 0.20811042408666131, 0.2080673573015977, 0.20802613457349239, 0.20798669515863163, 0.20794898148849444, 0.20791293901313534, 0.20787851605527605, 0.20784566367435758, 0.20781433553983891, 0.2077844878131154, 0.20775607903746929, 0.207729070035513, 0.20770342381363799, 0.20767910547302496, 0.20765608212679282, 0.20763432282291397, 0.20761379847255695, 0.20759448178351986, 0.20757634719848272, 0.2075593708378016, 0.20754353044660331, 0.20752880534595303, 0.2075151763879004, 0.20750262591421059, 0.2074911377186113, 0.20748069701240679, 0.20747129039332118, 0.20746290581743915, 0.20745553257414376, 0.20744916126394222, 0.20744378377909994, 0.207439393287007, 0.20743598421620643, 0.20743355224503804, 0.20743209429285156, 0.20743160851374989, 0.20743185138511552, 0.20743258008835255, 0.20743379489091107, 0.20743549623862878, 0.20743768475586705, 0.20744036124569912, 0.20744352669014704, 0.20744718225047529, 0.20745132926753582, 0.20745596926215878, 0.20746110393559847, 0.20746673517002248, 0.2074728650290534, 0.20747949575834812, 0.20748662978622814, 0.20749426972434715, 0.2075024183684, 0.20751107869886759, 0.20752025388180015, 0.20752994726962365, 0.20754016240198872, 0.20755090300663318, 0.20756217300027188, 0.20757397648950615, 0.20758631777174441, 0.20759920133613541, 0.20761263186450177, 0.20762661423228107, 0.2076411535094535, 0.20765625496146015, 0.20767192405010554, 0.20768816643443236, 0.20770498797156386, 0.20772239471750467, 0.20774039292789745, 0.20775898905871423, 0.20777818976688667, 0.20779800191085143, 0.20781843255101279, 0.20783948895010135, 0.20786117857341485, 0.20788350908894165, 0.20790648836733291, 0.20793012448172524, 0.20795442570738601, 0.2079794005211732, 0.208005057600786, 0.20803140582378757, 0.20805845426638211, 0.20808621220192278, 0.2081146890991302, 0.20814389461999386, 0.20817383861733571, 0.20820453113200516, 0.20823598238968324, 0.20826820279725911, 0.20830120293875964, 0.20833499357078439, 0.20836958561743049, 0.20840499016465924, 0.20844121845407421, 0.20847828187607365, 0.20851619196233387, 0.2085549603775928, 0.20859459891067952, 0.20863511946476246, 0.20867653404675818, 0.20871885475587146, 0.20876209377120719, 0.20880626333842453, 0.20885137575537499, 0.20889744335668775, 0.20894447849725595, 0.20899249353458094, 0.20904150080993161, 0.20909151262828007, 0.20914254123698067, 0.20919459880315017, 0.20924769738973051, 0.20930184893020104, 0.2093570652019302, 0.20941335779815262, 0.2094707380985657, 0.20952921723856938, 0.20958880607714678, 0.20964951516344379, 0.20971135470207697, 0.20977433451725136, 0.20983846401576239, 0.20990375214900581, 0.20997020737411462, 0.21003783761439807, 0.21010665021927197, 0.21017665192390689, 0.21024784880887237, 0.21032024626006951, 0.21039384892933335, 0.21046866069609488, 0.21054468463057213, 0.21062192295902624, 0.21070037703165828, 0.2107800472938289, 0.21086093326132405, 0.21094303350050531, 0.21102634561424655, 0.21111086623466413, 0.21119659102375596, 0.21128351468314438, 0.21137163097425513, 0.21146093275036551, 0.21155141200208488, 0.21164305991793714, 0.21173586696187319, 0.21182982296964178, 0.21192491726611082, 0.21202113880574047, 0.21211847633857236, 0.2122169186042189, 0.21231645455648465, 0.21241707362138434, 0.21251876599145372, 0.2126215229593949, 0.21272533729420567, 0.2128302036630956, 0.21293611910259025, 0.21304308354238372, 0.21315110038558405, 0.21326017714916934, 0.2135939191183204, 0.21393802776226148, 0.2142938725894489, 0.21466379958370993, 0.21505149784682639, 0.21546246144153219, 0.21590457409570557, 0.21638886130468174, 0.21693048387227776, 0.21755009773654585, 0.21827579249825108, 0.21914597461334859, 0.22021383894090005, 0.2215545963767164, 0.22327766565382573, 0.22554822726864254, 0.22862746835390535, 0.23295286380954067, 0.23931204706588055, 0.24926088592814682, 0.26627520607479493, 0.29954706055018165, 0.37957430574775969, 0.61647123071353527, 0.63632439435770194, 0.28800659408066259, 0.21172316206376438, 0.19338017390738169, 0.18791441189544938, 0.1861851459704153, 0.18571842230375438, 0.18569855133306001, 0.18582036490520698, 0.18596052980576933, 0.18606720859060127, 0.18611848626675634, 0.18610531037967648, 0.18602403086829547, 0.18587298100039903, 0.18565085850099811, 0.18535594978571779, 0.18498577814137626, 0.18453700629386457, 0.18400556678461982, 0.18338712027522944, 0.18267812832675073, 0.18187819525164595, 0.18099515876537473, 0.18005640602904568, 0.17913509065980771, 0.17841466377828916, 0.17836151923049559, 0.18024215125810766, 0.18792930469049901, 0.21565088676825972, 0.32924577336125832, 0.73348094762021865, 0.67839818250854933, 0.43115749414195792, 0.33265786172007911, 0.28811179188050906, 0.26409036870503433, 0.24941047598874733, 0.23960895491044773, 0.23262293477494583, 0.22738662433859488, 0.22330025380590265, 0.22000284045895763, 0.21726501689786148, 0.21493437614871394, 0.21290576724850899, 0.21110428600583883, 0.20947511527551432, 0.20797726228346955, 0.20657963680790925, 0.20525863481195109, 0.20399679873647836, 0.20278239403170301, 0.20160997640126102, 0.20048231936544844, 0.19941456435221339, 0.19844241982540259, 0.19763830489776885, 0.19714409840356578, 0.19724094164074815, 0.19850812990286573, 0.20221603375838906, 0.21140211363708747, 0.23419178753593997, 0.2952002427727432, 0.46889836498400872, 0.78026630509477624, 0.7146116923293423, 0.50546235651798799, 0.39284445448910393, 0.33502753539530461, 0.30217144019279918, 0.28164410688418107, 0.26783256772781178, 0.25799340644650864, 0.25066443290124812, 0.24500824637654872, 0.24051618192198435, 0.23686391884388799, 0.23383618015836427, 0.23128516517155093, 0.22910646366059831, 0.22722450630811106, 0.22558345304257674, 0.22414130428700346, 0.22286598807209895, 0.2217326952052511, 0.22072202396809801, 0.21981866250872509, 0.21901043609201828, 0.21828760678565756, 0.21764235094636367, 0.21706836404187274, 0.21656055812618102, 0.21611482778687932, 0.21572786749441802, 0.21539702817728748, 0.21512020426742715, 0.21489574488564281, 0.21472238458164677, 0.21459919031794675, 0.21452552233437841, 0.21450100725105459, 0.21451734783090726, 0.21456641740349908, 0.21464836079722105, 0.21476342385343589, 0.21491196022344244, 0.21509444110189066, 0.2153114681285517, 0.21556378977780355, 0.21585232166052085, 0.2161781712923514, 0.21654266804355296, 0.21694739918901304, 0.21739425323630446, 0.21788547204293093, 0.21842371366601779, 0.21901212845245169, 0.21965445162200814, 0.22035511658580836, 0.22111939457080299, 0.22195356792059359, 0.22286514690604112, 0.22386314328705401, 0.2249584186362534, 0.22616413219201223, 0.22749632270609843, 0.22897467286582665, 0.23062352572376421, 0.23247325387697249, 0.2345621299691735, 0.23693892154770771, 0.23966655159741554, 0.24282735819001161, 0.24653080626545665, 0.25092505014900013, 0.25621470335168678, 0.26268890557895641, 0.27076701464591446, 0.28107549767095907, 0.29458201645762594, 0.31283791826209578, 0.33843110288745976, 0.37584268555062106, 0.43297414819386071, 0.52290247084581087, 0.65857162315429418, 0.80318214480040451, 0.79010624389438477, 0.59394354543613548, 0.4188201786279514, 0.31906432849323002, 0.26642087455158608, 0.23785951552447573, 0.22162431128286572, 0.21199249727130764, 0.20608171332490161, 0.20236516811263727, 0.19999290512208362, 0.19847019241907354, 0.19749769928289876, 0.19688821475885515, 0.19652131576138357, 0.19631771502114945, 0.1962242474266542, 0.19620483234047309, 0.19623491845743143, 0.19629803750109431, 0.19638369616766987, 0.19648617769247623, 0.19660403445359989, 0.196740202453488, 0.19690280461259038, 0.19710687674358612, 0.19737750934408654, 0.19775536169014771, 0.19830640417226608, 0.19913960107898052, 0.20044030474374991, 0.20253657600602812, 0.20603922412604178, 0.21216016282365494, 0.22350262686814362, 0.24622954133986083, 0.29658994794671995, 0.41961383531311319, 0.68542893827726681, 0.81351908258580841, 0.59905483049500341, 0.43774369522966805, 0.35587712973718783, 0.31207184891637862, 0.28630162166193851, 0.26986553326955015, 0.25869619747029948, 0.25071943099400534, 0.24479338654388777, 0.24024803501207329, 0.23666884879832073, 0.2337878156748194, 0.23142511390006518, 0.22945624373954407, 0.22779266331405285, 0.22636993334544994, 0.22514021175248233, 0.22406736020036355, 0.22312366949160609, 0.22228761685008827, 0.22154229763302791, 0.22087430783380832, 0.22027293403682285, 0.21972955691999277, 0.21923720555335696, 0.21879021979708141, 0.21838399126798055, 0.21801476214447313, 0.21767946706245805, 0.21737560748575269, 0.21710115082971679, 0.21685444867367337, 0.21663416987835044, 0.21643924550316074, 0.21626882321243654, 0.21612222945023188, 0.21599893810562973, 0.21589854472387737, 0.21582074557077283, 0.21576532104896645, 0.21573212311026496, 0.21572106641927052], [0.21726905656337012, 0.2172917357241535, 0.21735991461757664, 0.21747402341140334, 0.21763479913552281, 0.21784331689278463, 0.21810103583366308, 0.21840986244294694, 0.21877223483977251, 0.21919123334557755, 0.21967072472683788, 0.22021555056957515, 0.22083177465114057, 0.22152701066613859, 0.22231086140290393, 0.22319551537097257, 0.22419657017509395, 0.22533418919112144, 0.22663475922728296, 0.22813332000373029, 0.22987721590022639, 0.23193174445940865, 0.23438918464817313, 0.23738378430367718, 0.24111776661565357, 0.24590888628473284, 0.25228304767185172, 0.26116911741528825, 0.27434985286055202, 0.29563966393109914, 0.33446366828721663, 0.41864993131950445, 0.63167474309585492, 0.73907330011618122, 0.34807074007896188, 0.2324379961602773, 0.20570118791483774, 0.1989398686292437, 0.19777990057942241, 0.19843860923981455, 0.19971505336804249, 0.20118084462837266, 0.20267486218773051, 0.20413808668624672, 0.2055530695987404, 0.20691984623469015, 0.20824579499650511, 0.20954122978107609, 0.21081747864896574, 0.21208608152625008, 0.21335850138513573, 0.21464606922253399, 0.21596002832638633, 0.21731160941842434, 0.21871209793237376, 0.22017286655803645, 0.22170534862383076, 0.22332092473557172, 0.22503068818848068, 0.22684504518987283, 0.22877309520998038, 0.23082172711933091, 0.23299436234568072, 0.23528928415425834, 0.2376975231304754, 0.24020033750245162, 0.24276644875639644, 0.24534937793562647, 0.24788546668369266, 0.25029341182513809, 0.25247629043597536, 0.25432695045605042, 0.25573713542437754, 0.2566097516569848, 0.25687245411812815, 0.25648968166715991, 0.25547000051665358, 0.25386649362213093, 0.25176979954654038, 0.24929552440137526, 0.24656920570167382, 0.24371223722815902, 0.2408312607427707, 0.23801208184100481, 0.2353178392690019, 0.23279035040237447, 0.23045332324291112, 0.22831629524816729, 0.22637850533692691, 0.22463225674406623, 0.22306559939602957, 0.22166433196798049, 0.22041341175468729, 0.21929789163680963, 0.21830350203892893, 0.21741697923628589, 0.21662622024127215, 0.21592032428539293, 0.21528956390351389, 0.21472531535250952, 0.21421996824591186, 0.21376682724395119, 0.21336001375226049, 0.21299437228070403, 0.21266538393924389, 0.2123690881552765, 0.21210201283571684, 0.21186111268947574, 0.21164371514908945, 0.21144747320028998, 0.21127032438928312, 0.2111104552924033, 0.21096627077772789, 0.21083636744789805, 0.21071951071840253, 0.210614615050328, 0.21052072691789925, 0.21043701014741395, 0.21036273331483563, 0.21029725893426032, 0.21024003420903001, 0.21019058315188685, 0.21014849991080164, 0.21011344316348934, 0.21008513146674443, 0.21006333946705036, 0.21004789489693443, 0.2100386762976951, 0.21003561142378568, 0.21003611613114492, 0.21003763089422225, 0.21004015763732847, 0.2100436995720191, 0.21004826120367553, 0.2100538483407465, 0.21006046810669748, 0.21006812895470506, 0.21007684068515917, 0.2100866144660406, 0.21009746285625291, 0.21010939983200044, 0.21012244081632386, 0.21013660271189494, 0.21015190393722966, 0.21016836446643727, 0.21018600587269259, 0.21020485137559486, 0.21022492589262307, 0.21024625609489733, 0.21026887046748408, 0.2102927993745167, 0.21031807512940143, 0.21034473207042997, 0.21037280664213542, 0.2104023374827626, 0.21043336551825623, 0.21046593406320879, 0.21050008892925395, 0.21053587854142253, 0.21057335406304445, 0.21061256952982005, 0.21065358199374604, 0.21069645167765139, 0.21074124214115858, 0.21078802045898107, 0.21083685741253774, 0.21088782769597694, 0.21094101013779645, 0.21099648793938791, 0.21105434893194322, 0.21111468585332949, 0.21117759664670152, 0.21124318478281082, 0.21131155960818226, 0.21138283672157468, 0.21145713838140526, 0.21153459394713819, 0.21161534035796983, 0.21169952265256053, 0.21178729453400341, 0.21187881898474009, 0.2119742689367369, 0.21207382800290567, 0.21217769127655742, 0.21228606620657089, 0.2123991735570275, 0.21251724846128339, 0.21264054158188145, 0.2127693203893809, 0.2129038705751462, 0.21304449761544822, 0.2131915285069492, 0.21334531369689549, 0.21350622923517651, 0.21367467917998906, 0.21385109829437127, 0.2140359550774398, 0.21422975518218429, 0.21443304528129897, 0.21464641745432583, 0.21487051418373548, 0.21510603406521164, 0.21535373835916646, 0.21561445853740832, 0.2158891050124353, 0.21617867727872025, 0.21648427574806778, 0.21680711562775651, 0.21714854327490038, 0.21751005556880779, 0.2178933229826189, 0.21830021721619666, 0.21873284448805783, 0.2191935858940802, 0.21968514665136715, 0.22021061659425581, 0.22077354502894281, 0.22137803405949935, 0.22202885588144344, 0.22273160146184171, 0.22349287072888599, 0.22432051824515215, 0.2252239738995159, 0.2262146663019908, 0.22730658870230083, 0.22851706564768748, 0.2298678070144366, 0.23138638088556759, 0.23310830914304806, 0.23508010955582401, 0.23736381246710117, 0.2400438395057557, 0.24323778643725033, 0.24711389376867463, 0.25192045227529547, 0.25803753912237204, 0.2660728993197316, 0.27705090635118235, 0.2928131648167685, 0.31694407532852137, 0.35712460608203506, 0.43160179111908376, 0.58443302530159968, 0.83889868478550589, 0.73456779331629196, 0.40754049447155088, 0.27605308238534071, 0.23001850244515393, 0.21194950425106221, 0.20415226875450393, 0.20061154745212412, 0.1989901970425495, 0.19827558273570819, 0.19799146843030926, 0.19790107871540011, 0.19788439116932421, 0.19788444424671767, 0.19788439116932427, 0.19790107871540019, 0.19799146843030954, 0.19827558273570819, 0.19899019704254967, 0.20061154745212736, 0.20415226875449996, 0.21194950425105938, 0.23001850244512662, 0.27605308238527299, 0.40754049447164148, 0.73456779331651612, 0.83889868478547858, 0.58443302530162233, 0.43160179111905561, 0.35712460608207403, 0.31694407532849611, 0.29281316481673625, 0.27705090635118312, 0.26607289931973954, 0.25803753912237276, 0.25192045227529802, 0.24711389376867307, 0.24323778643724889, 0.24004383950575511, 0.23736381246709934, 0.23508010955582553, 0.23310830914304675, 0.2313863808855674, 0.22986780701443799, 0.22851706564768648, 0.22730658870230086, 0.22621466630199163, 0.22522397389951609, 0.22432051824515217, 0.2234928707288856, 0.22273160146184146, 0.22202885588144369, 0.22137803405949918, 0.22077354502894353, 0.22021061659425623, 0.21968514665136674, 0.21919358589408056, 0.21873284448805799, 0.21830021721619622, 0.21789332298261871, 0.21751005556880801, 0.21714854327490071, 0.21680711562775656, 0.21648427574806817, 0.21617867727872053, 0.21588910501243472, 0.21561445853740796, 0.21535373835916657, 0.21510603406521167, 0.21487051418373512, 0.21464641745432606, 0.21443304528129892, 0.21422975518218379, 0.21403595507743933, 0.21385109829437085, 0.21367467917998906, 0.2135062292351764, 0.21334531369689588, 0.21319152850694914, 0.21304449761544852, 0.21290387057514612, 0.21276932038938062, 0.21264054158188114, 0.21251724846128378, 0.2123991735570275, 0.21228606620657064, 0.2121776912765575, 0.21207382800290597, 0.2119742689367374, 0.21187881898474015, 0.21178729453400338, 0.21169952265256053, 0.21161534035796947, 0.21153459394713817, 0.21145713838140562, 0.21138283672157451, 0.21131155960818201, 0.21124318478281071, 0.2111775966467016, 0.21111468585332965, 0.21105434893194339, 0.21099648793938777, 0.21094101013779618, 0.21088782769597691, 0.21083685741253783, 0.21078802045898101, 0.21074124214115825, 0.21069645167765139, 0.21065358199374634, 0.21061256952982021, 0.21057335406304409, 0.21053587854142233, 0.21050008892925356, 0.21046593406320871, 0.21043336551825639, 0.21040233748276266, 0.2103728066421352, 0.21034473207042992, 0.21031807512940126, 0.21029279937451648, 0.21026887046748441, 0.21024625609489717, 0.2102249258926234, 0.21020485137559516, 0.21018600587269262, 0.21016836446643719, 0.21015190393722991, 0.21013660271189546, 0.2101224408163237, 0.21010939983200091, 0.21009746285625286, 0.21008661446604057, 0.21007684068515925, 0.21006812895470492, 0.21006046810669746, 0.21005384834074667, 0.21004826120367526, 0.21004369957201927, 0.21004015763732864, 0.2100376308942225, 0.21003611613114503, 0.21003561142378516, 0.21003586375847572, 0.21003662085509053, 0.2100378829912912, 0.21003965062993946, 0.21004192441924099, 0.21004470519294502, 0.21004799397059382, 0.21005179195783444, 0.21005610054678292, 0.21006092131643861, 0.21006625603315551, 0.21007210665116066, 0.21007847531312801, 0.21008536435079278, 0.21009277628561937, 0.21010071382950973, 0.21010917988555725, 0.21011817754883677, 0.21012771010723846, 0.21013778104232644, 0.2101483940302426, 0.21015955294262711, 0.2101712618475691, 0.2101835250105786, 0.21019634689557412, 0.21020973216588307, 0.21022368568524682, 0.21023821251883473, 0.21025331793424715, 0.21026900740251164, 0.21028528659906526, 0.21030216140471109, 0.21031963790654437, 0.21033772239883936, 0.21035642138389282, 0.21037574157280414, 0.210395689886196, 0.21041627345485159, 0.2104374996202692, 0.21045937593511438, 0.21048191016355566, 0.21050511028148222, 0.21052898447657084, 0.21055354114820482, 0.21057878890721263, 0.21060473657542397, 0.21063139318501301, 0.2106587679776151, 0.21068687040319511, 0.21071571011864512, 0.21074529698609273, 0.21077564107088734, 0.21080675263924817, 0.21083864215553996, 0.21087132027915495, 0.21090479786096336, 0.2109390859393139, 0.21097419573553347, 0.21101013864891485, 0.21104692625113869, 0.21108457028010277, 0.21112308263312035, 0.21116247535944227, 0.21120276065207391, 0.21124395083883191, 0.2112860583726113, 0.21132909582080811, 0.21137307585386561, 0.21141801123288556, 0.21146391479627441, 0.21151079944536771, 0.21155867812899529, 0.21160756382694085, 0.21165746953225578, 0.21170840823238268, 0.21176039288905318, 0.21181343641692668, 0.21186755166093107, 0.21192275137228747, 0.21197904818318988, 0.21203645458013112, 0.21209498287586601, 0.21215464518000779, 0.21221545336828931, 0.21227741905048858, 0.21234055353708561, 0.21240486780468573, 0.21247037246029918, 0.21253707770456151, 0.21260499329402752, 0.21267412850267151, 0.21274449208278071, 0.21281609222544701, 0.21288893652090135, 0.212963031918986, 0.21303838469008021, 0.21311500038688411, 0.21319288380747578, 0.21327203896014252, 0.21335246903055324, 0.21343417635188491, 0.21351716237862409, 0.21360142766481247, 0.21368697184762231, 0.21377379363721763, 0.21386189081396764, 0.21395126023419128, 0.21404189784569974, 0.21413379871454633, 0.21422695706450071, 0.21432136633090554, 0.21441701923068307, 0.2145139078504314, 0.21461202375465982, 0.21471135811638345, 0.21481190187242238, 0.21491364590592335, 0.21501658125875753, 0.21512069937660772, 0.21522599238971138, 0.21533245343237065, 0.21544007700451226, 0.21554885937870172, 0.21565879905620272, 0.21576989727579282, 0.21588215857923856, 0.21599559143745364, 0.21611020894157504, 0.21646138603435458, 0.21682431451359091, 0.21720063672928783, 0.21759306591829083, 0.21800578641009841, 0.21844496154334372, 0.21891938278776008, 0.21944131399369565, 0.22002762028783374, 0.22070133264368519, 0.22149390609193711, 0.22244861936593702, 0.22362591237702478, 0.2251121271446892, 0.22703447248549022, 0.22958794816036404, 0.23308670067439638, 0.23806921615938487, 0.24553389733184844, 0.25753053303785511, 0.27888519376796589, 0.32332268168555323, 0.44021731581830759, 0.74382100931958872, 0.46825339025511514, 0.24955905166121056, 0.20473435861187939, 0.19298482963551722, 0.18938107082636338, 0.18829210265610544, 0.1880723802830766, 0.18815282396735547, 0.18831466889310361, 0.18846859338193581, 0.18857733150014735, 0.1886256092877823, 0.18860753921906512, 0.18852102840962584, 0.18836519478172273, 0.18813914038045279, 0.18784136537579407, 0.1874695064468391, 0.18702027338849808, 0.1864895705531727, 0.18587289392498149, 0.18516625112718416, 0.18436816011806909, 0.18348396622559029, 0.18253534687565057, 0.18158203590306266, 0.18077432343823474, 0.1804901057768675, 0.18173208792306647, 0.18745412483843835, 0.2079215839128403, 0.28786020838102883, 0.61513763467265736, 0.77093244999703459, 0.48128901454092343, 0.35556854210757349, 0.30123399748123691, 0.27301578495707368, 0.25622400941668899, 0.24522657101356338, 0.23750170036183912, 0.2317778669055483, 0.22735298253452019, 0.22381084062347958, 0.22089024015090625, 0.21841940393577297, 0.21628084468139241, 0.21439148135441377, 0.21269087038933665, 0.21113399247221115, 0.20968673366200213, 0.20832305989745509, 0.20702335480363909, 0.20577368307520141, 0.20456597141084754, 0.20339935464517903, 0.20228332768431101, 0.20124407912573211, 0.20033691457779762, 0.19967111689700157, 0.19946186550812636, 0.20014531869662047, 0.20265384668849387, 0.20913948080005518, 0.22510469573171962, 0.26648042105193126, 0.38356223028146486, 0.67262196038613553, 0.79964835109492149, 0.57936304809255124, 0.43135936522616536, 0.35693711935970313, 0.31631549606214437, 0.29177535476164473, 0.27568575830733211, 0.26445012046861571, 0.2562106977614777, 0.24993062979072575, 0.24499325252089676, 0.24101217874362035, 0.23773463295315586, 0.23498918020288073, 0.23265596706814332, 0.2306490155054671, 0.22890527928736445, 0.22737765224257103, 0.22603036937051366, 0.22483590294122108, 0.22377281888305056, 0.2228242654603052, 0.22197688764111589, 0.2212200339007645, 0.22054516766560289, 0.21994542444192092, 0.21941527436227892, 0.21895026223061601, 0.21854680545607394, 0.21820203595012924, 0.21791367601273834, 0.21767994102094246, 0.21749946372956092, 0.21737123644562911, 0.21729456841355774, 0.21726905656337012, 0.21728606145090201, 0.2173371279786355, 0.21742241318885278, 0.21754218367519307, 0.21769682298706747, 0.21788684224190058, 0.21811289420759353, 0.21837579121694878, 0.21867652739573884, 0.21901630583377005, 0.2193965715129817, 0.21981905104052993, 0.22028580053397481, 0.22079926339187081, 0.22136234018587184, 0.22197847357063644, 0.22265175198237203, 0.22338703706555518, 0.22419012134441282, 0.22506792480480806, 0.226028742011954, 0.22708255551174009, 0.22824143707366085, 0.22952006662765514, 0.23093641074933949, 0.23251262017123797, 0.23427623208281642, 0.23626180285495535, 0.23851315842324852, 0.2410865466265219, 0.24405513205291512, 0.24751553142017371, 0.25159752263963081, 0.25647881649778631, 0.26240813207255409, 0.26974231384931863, 0.27900799335787302, 0.29100769154722211, 0.30700929398117044, 0.32909681913881039, 0.36083678448217349, 0.40852714029689446, 0.4831557442016875, 0.60026379763474147, 0.75577905139523216, 0.83138593254735005, 0.68287611225200129, 0.47871623803526325, 0.35068155309975035, 0.28325110309728979, 0.24755582126815381, 0.22779182664186559, 0.21633758526878102, 0.20944876268371868, 0.20519302676229498, 0.20251992703314775, 0.20083065025644534, 0.1997693906329642, 0.19911706452756303, 0.19873460835306592, 0.19853144987878124, 0.19844732637754212, 0.19844146470956994, 0.19848597287524244, 0.19856172659582358, 0.19865578964290803, 0.19875982106639559, 0.1988691617338785, 0.19898244218601288, 0.19910166194465853, 0.19923278973519482, 0.19938705546453567, 0.19958329094001667, 0.1998520035480274, 0.20024249077270201, 0.20083556442184727, 0.20176714729892872, 0.20327410874207449, 0.20578848576507833, 0.21014487377808833, 0.2180760251328672, 0.23351802835039359, 0.26643079552840826, 0.34472813038272493, 0.53980474573799686, 0.81852924583569298, 0.71257857863805885, 0.50197699237409443, 0.3892035518526189, 0.33154030800623141, 0.29914615896188235, 0.2792201951457382, 0.26604794717223607, 0.25683846392334053, 0.2501094660158602, 0.24501622449292779, 0.24104847862463299, 0.23788277063746677, 0.23530562562997384, 0.23317128431857273, 0.23137730459906591, 0.22984988380308555, 0.2285347065452937, 0.22739105628908809, 0.2263879206745609, 0.22550135160696283, 0.22471263619058995, 0.22400700417540281, 0.22337269800876366, 0.22280029268489859, 0.2222821906805125, 0.22181224155325677, 0.22138545158438155, 0.22099775932662358, 0.22064585998950156, 0.22032706644376679, 0.2200391980038624, 0.21978049053296211, 0.21954952312329074, 0.21934515784276581, 0.21916648994690227, 0.21901280662715061, 0.21888355286849295, 0.21877830336582843, 0.21869673973247097, 0.21863863244844431, 0.21860382715844051, 0.21859223505259467], [0.22023353989660457, 0.22025716291235165, 0.22032818335076554, 0.22044706181066143, 0.22061458770832812, 0.22083191310645076, 0.22110060259998437, 0.22142270208712089, 0.22180083054142022, 0.22223830064262781, 0.22273927654651696, 0.22330898052230047, 0.22395396519271143, 0.22468247551984138, 0.22550493585345566, 0.22643461455552147, 0.22748854576332719, 0.22868883141780544, 0.23006451870545211, 0.23165437063772404, 0.23351106299375834, 0.23570773386552002, 0.23834855925848414, 0.24158651831413808, 0.24565465229149258, 0.25092418327261179, 0.25802000391606805, 0.26806968965311528, 0.28329799936258171, 0.30864103843812857, 0.35687946274403998, 0.46735189045455922, 0.72951158413790129, 0.61588753871463608, 0.29933237979992477, 0.22365962485800331, 0.20535649560876532, 0.20083982313117582, 0.20040395919533624, 0.20132681601618493, 0.20270767346579777, 0.20421787561089466, 0.20573340791890746, 0.20721020519836769, 0.20863719464561997, 0.21001724838111288, 0.21135906708867508, 0.21267363753652488, 0.21397269999374366, 0.21526812861181216, 0.21657173278642031, 0.21789524990387824, 0.21925041788471761, 0.22064906980893473, 0.22210321674168623, 0.22362509368691727, 0.22522714411447139, 0.22692191375830092, 0.22872181576611261, 0.23063871767046257, 0.23268328720741088, 0.23486402101112311, 0.23718587211369099, 0.23964839688276657, 0.24224337211760419, 0.2449519060670369, 0.24774120332187471, 0.25056135789017503, 0.25334283512507433, 0.25599561014140221, 0.25841113795736653, 0.26046825041269944, 0.26204350669711957, 0.26302538735759534, 0.26333021930576062, 0.26291640961463253, 0.26179318736580043, 0.2600210954595425, 0.25770374849121103, 0.2549729634058987, 0.25197112435452618, 0.24883487242644708, 0.24568305491222825, 0.24261008280711827, 0.23968425621571487, 0.23694969686773493, 0.23443030848682805, 0.23213443596741995, 0.23005933073388635, 0.22819495057113792, 0.22652693428282281, 0.22503878065361402, 0.22371335207733628, 0.22253385007410365, 0.22148440192274266, 0.22055037470419259, 0.21971850675692736, 0.21897692255522172, 0.21831507744297987, 0.2177236637282694, 0.21719449878364505, 0.21672040817243335, 0.21629511162283929, 0.21591311622200601, 0.21556961897499932, 0.21526041948071464, 0.2149818426411147, 0.2147306708490043, 0.21450408486157227, 0.21429961247397375, 0.21411508410136024, 0.21394859442130507, 0.21379846929764773, 0.21366323728653638, 0.2135416051069785, 0.2134324365364525, 0.21333473426444383, 0.2132476243019566, 0.2131703426029419, 0.21310222360439576, 0.21304269043619584, 0.21299124659024282, 0.21294746887187574, 0.21291100148550879, 0.21288155113170196, 0.21285888301498951, 0.21284281768131297, 0.21283322862135184, 0.21283004059181876, 0.21283056531889016, 0.21283214016877156, 0.21283476714884447, 0.21283844960934542, 0.21284319225029283, 0.21284900113121369, 0.21285588368372252, 0.21286384872698991, 0.21287290648616825, 0.21288306861384709, 0.21289434821462175, 0.21290675987287197, 0.21292031968387093, 0.21293504528833193, 0.21295095591056173, 0.21296807240034754, 0.21298641727877471, 0.21300601478815312, 0.21302689094627136, 0.2130490736052067, 0.21307259251494262, 0.21309747939208371, 0.21312376799395735, 0.21315149419844553, 0.21318069608990722, 0.21321141405158742, 0.21324369086494632, 0.2132775718163816, 0.21331310481186455, 0.21335034050004542, 0.21338933240445518, 0.21343013706547032, 0.21347281419278341, 0.21351742682918556, 0.21356404152654576, 0.21361272853496285, 0.21366356200615308, 0.21371662021224941, 0.21377198578129797, 0.21382974595088469, 0.2138899928414533, 0.21395282375104993, 0.21401834147341942, 0.21408665464157448, 0.21415787809920145, 0.21423213330252991, 0.21430954875558453, 0.21439026048208998, 0.21447441253766839, 0.21456215756642247, 0.21465365740649145, 0.21474908374973609, 0.21484861886137649, 0.21495245636615454, 0.21506080210847633, 0.21517387509498936, 0.215291908529232, 0.21541515094935454, 0.21554386748150059, 0.21567834122331059, 0.21581887477419731, 0.21596579193163024, 0.21611943957570723, 0.21628018976793745, 0.21644844209445951, 0.21662462628907067, 0.21680920517765662, 0.21700267799301348, 0.217205584118108, 0.21741850732669896, 0.21764208060359699, 0.21787699164311253, 0.21812398914428877, 0.21838389004627279, 0.21865758787786188, 0.21894606243359521, 0.21925039103674901, 0.21957176171010553, 0.21991148865205729, 0.2202710305133658, 0.22065201209527241, 0.22105625025157613, 0.22148578498769508, 0.22194291702525701, 0.22243025346425421, 0.22295076365827393, 0.22350784806695839, 0.22410542372816183, 0.2247480311933194, 0.22544096942937178, 0.22619046751067987, 0.22700390520702862, 0.22789009928024534, 0.22885967914626335, 0.22992558566790441, 0.2311037420256748, 0.2324139688375875, 0.23388125194291545, 0.23553752908687214, 0.23742425625463429, 0.23959617308837927, 0.2421269613326178, 0.24511798126660542, 0.24871218297720038, 0.25311705642540466, 0.25864407845000059, 0.26577984183425146, 0.2753217556507902, 0.28865484160240956, 0.30836289949614981, 0.33970745789717038, 0.39455604054012244, 0.50201395867442877, 0.71865134106762707, 0.87847320869535195, 0.54839131549814146, 0.32629960209167391, 0.24940519015782597, 0.22110284228616367, 0.20948019540591906, 0.20437542372237649, 0.20209148649150907, 0.20110813571446784, 0.20073758535769579, 0.20064576828117936, 0.20066261284267545, 0.2007004539087256, 0.20071723571702904, 0.20070045390872579, 0.20066261284267548, 0.20064576828117955, 0.20073758535769559, 0.20110813571446803, 0.20209148649151093, 0.20437542372237397, 0.20948019540591703, 0.22110284228614702, 0.24940519015778509, 0.32629960209172765, 0.54839131549836151, 0.8784732086953374, 0.71865134106765027, 0.50201395867439025, 0.39455604054017784, 0.33970745789713686, 0.30836289949610929, 0.28865484160240956, 0.27532175565079936, 0.26577984183425246, 0.25864407845000342, 0.25311705642540278, 0.24871218297719869, 0.24511798126660472, 0.24212696133261569, 0.23959617308838091, 0.2374242562546327, 0.23553752908687203, 0.23388125194291676, 0.23241396883758639, 0.23110374202567485, 0.22992558566790541, 0.22885967914626365, 0.22789009928024537, 0.22700390520702818, 0.22619046751067962, 0.22544096942937214, 0.22474803119331929, 0.22410542372816253, 0.22350784806695878, 0.22295076365827352, 0.2224302534642546, 0.22194291702525706, 0.22148578498769464, 0.22105625025157594, 0.2206520120952726, 0.22027103051336608, 0.21991148865205745, 0.21957176171010598, 0.21925039103674923, 0.21894606243359455, 0.21865758787786146, 0.21838389004627304, 0.21812398914428882, 0.21787699164311217, 0.21764208060359713, 0.21741850732669896, 0.21720558411810748, 0.21700267799301304, 0.21680920517765614, 0.21662462628907084, 0.21644844209445932, 0.21628018976793781, 0.21611943957570712, 0.21596579193163049, 0.21581887477419728, 0.21567834122331034, 0.21554386748150028, 0.21541515094935482, 0.215291908529232, 0.21517387509498911, 0.2150608021084765, 0.2149524563661549, 0.21484861886137696, 0.21474908374973611, 0.21465365740649148, 0.21456215756642238, 0.21447441253766794, 0.21439026048208998, 0.21430954875558486, 0.21423213330252974, 0.2141578780992012, 0.21408665464157434, 0.21401834147341953, 0.21395282375105013, 0.21388999284145338, 0.21382974595088458, 0.21377198578129755, 0.21371662021224941, 0.21366356200615316, 0.21361272853496283, 0.21356404152654557, 0.21351742682918554, 0.21347281419278366, 0.21343013706547048, 0.21338933240445479, 0.21335034050004528, 0.21331310481186408, 0.21327757181638146, 0.21324369086494646, 0.21321141405158753, 0.21318069608990703, 0.21315149419844542, 0.21312376799395713, 0.21309747939208362, 0.21307259251494301, 0.21304907360520656, 0.2130268909462717, 0.2130060147881534, 0.21298641727877479, 0.2129680724003474, 0.21295095591056193, 0.21293504528833246, 0.21292031968387076, 0.21290675987287239, 0.21289434821462169, 0.21288306861384707, 0.2128729064861683, 0.21286384872698977, 0.21285588368372255, 0.21284900113121386, 0.21284319225029261, 0.21283844960934559, 0.21283476714884458, 0.21283214016877183, 0.2128305653188903, 0.21283004059181823, 0.21283030293551342, 0.21283109006275422, 0.21283240226203975, 0.21283424001430001, 0.2128366039930478, 0.21283949506458963, 0.21284291428829052, 0.21284686291690394, 0.21285134239695691, 0.21285635436918932, 0.21286190066905347, 0.21286798332726348, 0.21287460457040341, 0.21288176682157972, 0.21288947270112971, 0.21289772502737414, 0.21290652681741817, 0.21291588128799166, 0.21292579185633664, 0.21293626214112235, 0.21294729596340831, 0.21295889734762788, 0.21297107052260339, 0.21298381992258755, 0.2129971501883211, 0.21301106616810786, 0.2130255729188959, 0.21304067570737095, 0.21305638001104168, 0.21307269151931935, 0.21308961613458746, 0.21310715997324661, 0.21312532936673254, 0.21314413086249526, 0.21316357122493829, 0.21318365743629569, 0.213204396697451, 0.21322579642867495, 0.21324786427028083, 0.21327060808318057, 0.21329403594932272, 0.21331815617201536, 0.21334297727609802, 0.21336850800796545, 0.2133947573354126, 0.21342173444729531, 0.21344944875297905, 0.21347790988155993, 0.21350712768083649, 0.21353711221600949, 0.213567873768091, 0.21359942283198979, 0.21363177011425549, 0.21366492653044941, 0.21369890320211671, 0.21373371145332604, 0.21376936280675388, 0.21380586897926623, 0.21384324187698123, 0.2138814935897643, 0.21392063638512457, 0.21396068270147456, 0.21400164514070952, 0.21404353646007482, 0.21408636956326801, 0.2141301574907454, 0.21417491340917691, 0.21422065060002002, 0.21426738244715135, 0.21431512242352874, 0.21436388407682533, 0.21441368101399874, 0.21446452688475257, 0.21451643536384596, 0.21456942013221286, 0.21462349485685292, 0.21467867316946435, 0.21473496864378225, 0.21479239477160461, 0.21485096493748165, 0.21491069239206315, 0.21497159022409648, 0.21503367133107992, 0.21509694838860197, 0.21516143381837993, 0.21522713975506369, 0.21529407801185435, 0.21536226004503256, 0.21543169691749239, 0.215502399261426, 0.21557437724030351, 0.21564764051035107, 0.21572219818174812, 0.21579805877980621, 0.21587523020644825, 0.21595371970232344, 0.21603353380999138, 0.2161146783386183, 0.21619715833071906, 0.2162809780315478, 0.21636614086178899, 0.21645264939431494, 0.21654050533582622, 0.21662970951431568, 0.21672026187336785, 0.21681216147442897, 0.21690540650829399, 0.21699999431715741, 0.21709592142872175, 0.21719318360397452, 0.21729177590039364, 0.21739169275246006, 0.21749292807154205, 0.21759547536732674, 0.21769932789317281, 0.21780447881788093, 0.217910921426576, 0.21801864935354062, 0.21812765685002083, 0.21823793909019207, 0.21834949251864355, 0.21846231524292947, 0.2185764074748881, 0.21869177202464013, 0.21880841485133212, 0.21892634567492097, 0.21904557865345356, 0.21916613313055944, 0.2195360146163525, 0.21991917293982358, 0.220317555955235, 0.22073428813709878, 0.22117410880090593, 0.2216439325533302, 0.22215357241112429, 0.22271669075733563, 0.22335208634195239, 0.22408550024873486, 0.22495225485460024, 0.22600127554090019, 0.22730148455951116, 0.22895241554800866, 0.23110267143849411, 0.23398375599615087, 0.23797608684269356, 0.24374809570132172, 0.25257917611041847, 0.26720945212961211, 0.29447626495568408, 0.35541959103407772, 0.52937369119469968, 0.76606852250954094, 0.35353364810940385, 0.22869833879520765, 0.20133379712005367, 0.19367249827536503, 0.19131716356310094, 0.19067792399314182, 0.19063578715725243, 0.19078843421625491, 0.19097812875428943, 0.19114033227916874, 0.19124863561466496, 0.19129278939888888, 0.19126932357088319, 0.19117733949150759, 0.19101655597157191, 0.19078638243299806, 0.19048547929435422, 0.19011156588043304, 0.18966138210839567, 0.18913079978653621, 0.1885151655008909, 0.18781008893083986, 0.18701314986557407, 0.1861275663921256, 0.18517020343971088, 0.18418965374211896, 0.1833092012812281, 0.18283646166279555, 0.18357161920593973, 0.18779507803974613, 0.20304302437092292, 0.26011876687699143, 0.50160120450280088, 0.83534680515184667, 0.54434833009684569, 0.38341649220563628, 0.31647390971777056, 0.28306914425131308, 0.2637519136776954, 0.25135841523795871, 0.24278622714568557, 0.23651069022576299, 0.23170657743430612, 0.22789237714104138, 0.22476977460691286, 0.22214467353754569, 0.21988551432742162, 0.21789997301253919, 0.21612130436199001, 0.21450002879511756, 0.21299873554634158, 0.21158880693492998, 0.21024842002065253, 0.2089615084302856, 0.20771760120774335, 0.20651268604845355, 0.20535156577424502, 0.20425274636957616, 0.20325804374590084, 0.20245160958490535, 0.20199896670342576, 0.20223148695142076, 0.20384237594587129, 0.20838271978367853, 0.21965823387363473, 0.24817095686946372, 0.32653227753065578, 0.545482202832968, 0.8242911514653718, 0.66966462423139339, 0.48077925279204892, 0.3839085739359609, 0.33303574113917328, 0.30339438174802691, 0.28450166445897107, 0.27159189398537525, 0.2622833601865131, 0.25528272716809719, 0.2498378820351923, 0.24548619947826864, 0.24192964017920665, 0.23896865806904061, 0.23646526033373763, 0.23432137396772063, 0.23246565677283415, 0.23084517109538194, 0.22941996441109211, 0.22815944553708953, 0.227039902698979, 0.22604276671356527, 0.22515337178849867, 0.22436005568237777, 0.22365349576933918, 0.22302621202369921, 0.22247219010607402, 0.22198659227565817, 0.22156553357475106, 0.22120590734291826, 0.22090524868784225, 0.2206616277475498, 0.22047356686471578, 0.22033997744936867, 0.22026011352759636, 0.22023353989660457, 0.22025125241818322, 0.220304446215626, 0.22039329156342338, 0.22051807754493208, 0.2206792201263893, 0.22087727373868238, 0.22111294666377296, 0.22138712063554999, 0.22170087520151105, 0.22205551756039832, 0.22245261880263142, 0.22289405774947177, 0.2233820739323249, 0.22391933170136835, 0.22450899803823104, 0.22515483741980802, 0.2258613281084951, 0.22663380562536517, 0.22747864103703419, 0.22840346425616953, 0.22941744611643247, 0.23053165797570788, 0.2317595346899079, 0.23311747699735699, 0.23462564423379684, 0.23630901034410021, 0.23819878936008079, 0.2403343874145345, 0.24276611790297301, 0.24555904331222272, 0.24879851433866745, 0.2525983232930335, 0.25711298374281744, 0.26255670023163874, 0.26923351038210852, 0.27758669772178585, 0.28828262245117042, 0.30235829787628121, 0.32149120030142303, 0.34850921854532102, 0.38836591635340661, 0.44987795793743934, 0.54749745175059661, 0.69286528317316443, 0.82914101968133158, 0.7702993517885065, 0.55647891053868781, 0.39360474924109751, 0.30568125122947687, 0.2600597432240343, 0.23547345710741624, 0.22157564064530483, 0.21339445643277077, 0.20843238767334871, 0.20536584847332459, 0.20345714270408155, 0.20227646657510034, 0.20156364804227642, 0.20115596543324038, 0.20094877119709498, 0.20087315852294071, 0.20088285540401904, 0.20094630527742852, 0.20104176527236342, 0.20115421961846694, 0.20127342441873702, 0.20139268969594071, 0.20150817474381141, 0.20161858096325472, 0.20172520570504965, 0.20183239409370601, 0.20194851527539207, 0.20208772516500992, 0.20227301262827985, 0.20254146611562818, 0.20295357088880672, 0.20361017263956757, 0.20468477902867771, 0.20648836875882651, 0.20960790536829926, 0.21522583472811793, 0.22592770360295325, 0.24797240147218927, 0.2983620379421647, 0.42612045141205901, 0.70808082691201502, 0.81664657166637722, 0.58853722665085084, 0.43322533479682518, 0.35587777374454321, 0.31448416731016976, 0.29002451851190536, 0.27434324649642383, 0.26363303071041877, 0.25594821158422187, 0.25021430821389634, 0.24579868500017818, 0.24230865373241128, 0.23948953309161469, 0.23716995643164682, 0.23523096963590473, 0.23358777825453653, 0.23217854465369445, 0.23095727867846022, 0.22988919187577112, 0.22894758186899758, 0.22811169407854878, 0.2273652234412516, 0.22669524467036561, 0.22609143527288161, 0.22554550221328992, 0.2250507525774722, 0.22460176759187117, 0.22419415184961369, 0.22382433796401269, 0.22348943256983866, 0.22318709353690253, 0.22291543103056694, 0.222672927026586, 0.22245836931091165, 0.22227079703399236, 0.22210945565518431, 0.22197375968246982, 0.22186326203881626, 0.22177762920632782, 0.22171662153986779, 0.2216800783228404, 0.22166790727450172], [0.22370854978980856, 0.22373320478276357, 0.22380733191902913, 0.22393142463516741, 0.22410632890964582, 0.22433327996979074, 0.2246139564805878, 0.22495055535567646, 0.22534589177012707, 0.22580353090808197, 0.22632796070717617, 0.22692481876203099, 0.22760119223799741, 0.22836601810516433, 0.22923062382897641, 0.23020946850860141, 0.23132117588127823, 0.23259000158129856, 0.23404796196284222, 0.23573799757813926, 0.23771880320500804, 0.24007243351463253, 0.24291671218834995, 0.24642633107304088, 0.25087050988766807, 0.25668422375223204, 0.26461271532325936, 0.27603118326593662, 0.29373288287199095, 0.32415544291462411, 0.3847659247961544, 0.53025278705027323, 0.79982402250926699, 0.49127580947603072, 0.26925495978771524, 0.21891056977025097, 0.20631480765592708, 0.20343352210251114, 0.20355734016543064, 0.20469654796011794, 0.20616968610604539, 0.20772410137680142, 0.2092650453291463, 0.21076061588301112, 0.21220509546655378, 0.21360383795846058, 0.2149667725999759, 0.21630557002184098, 0.21763243560366707, 0.21895964732227691, 0.22029943782138359, 0.22166403229414031, 0.22306574977414995, 0.22451711922081327, 0.22603098070129043, 0.22762054810604762, 0.22929940856796599, 0.231081427409802, 0.23298051699195083, 0.23501021384421639, 0.23718299188463116, 0.2395092225654385, 0.24199568014020492, 0.24464349069474153, 0.24744545167669366, 0.2503827255505211, 0.25342106255465946, 0.25650695497673554, 0.25956446758225193, 0.2624938714311908, 0.26517349188406086, 0.26746613576513051, 0.26923082954165112, 0.27033925617409227, 0.27069444717110791, 0.27024764644400667, 0.2690087420211445, 0.26704689672714177, 0.26448078249854634, 0.26146099270973561, 0.25814932702591847, 0.2546998632362531, 0.25124525587771224, 0.24788950040065449, 0.2447065004212696, 0.24174272826335957, 0.23902207814639745, 0.23655136476602248, 0.23432546647462166, 0.23233161463951429, 0.23055268876072796, 0.22896958417480273, 0.22756281149272092, 0.22631350755285115, 0.22520402136549178, 0.22421820796226988, 0.22334153078692118, 0.22256104500997156, 0.22186531173172488, 0.22124427632141958, 0.22068913221236691, 0.22019218324848869, 0.21974671217079603, 0.21934685924695554, 0.21898751278196865, 0.21866421186864851, 0.21837306093891892, 0.21811065525248619, 0.21787401626865888, 0.21766053579773983, 0.21746792786084099, 0.21729418726315836, 0.21713755398208962, 0.21699648257381726, 0.21686961590189338, 0.21675576258454882, 0.21665387764186336, 0.21656304589890729, 0.2164824677667723, 0.21641144708061907, 0.21634938072337098, 0.21629574980639932, 0.21625011221538007, 0.21621209636130392, 0.21618139600420769, 0.21615776604124612, 0.21614101917187431, 0.21613102337174894, 0.21612770012394811, 0.21612824666544272, 0.21612988698856694, 0.21613262319069737, 0.21613645877231075, 0.21614139864428536, 0.21614744913815531, 0.21615461801936953, 0.21616291450360078, 0.21617234927617213, 0.21618293451468043, 0.21619468391490454, 0.21620761272010333, 0.21622173775382933, 0.21623707745637449, 0.21625365192502688, 0.2162714829582745, 0.21629059410416665, 0.21631101071302172, 0.2163327599947176, 0.21635587108080587, 0.21638037509171995, 0.21640630520938839, 0.2164336967555601, 0.21646258727621193, 0.21649301663242301, 0.21652502709814009, 0.21655866346530062, 0.21659397315681839, 0.21663100634799276, 0.21666981609693742, 0.21671045848470241, 0.21675299276580778, 0.21679748152998676, 0.2168439908760087, 0.21689259059853425, 0.21694335438905671, 0.21699636005207715, 0.21705168973778363, 0.21710943019262627, 0.21716967302933848, 0.21723251501809632, 0.21729805840069838, 0.21736641122985473, 0.21743768773589231, 0.21751200872344503, 0.21758950200099067, 0.21767030284641448, 0.21775455451217013, 0.21784240877400815, 0.21793402652775334, 0.21802957843914636, 0.21812924565240305, 0.21823322056387862, 0.21834170766805414, 0.21845492448404355, 0.2185731025719273, 0.21869648864953536, 0.21882534582181742, 0.21895995493670728, 0.21910061608348147, 0.21924765025205314, 0.21940140117453419, 0.21956223737381103, 0.2197305544479555, 0.21990677762412936, 0.22009136462142898, 0.22028480886910662, 0.22048764313496011, 0.22070044362889327, 0.22092383465896034, 0.22115849393232392, 0.22140515861202931, 0.22166463226327307, 0.22193779285104767, 0.22222560198604999, 0.22252911565957648, 0.22284949676312543, 0.22318802975794011, 0.22354613794804501, 0.22392540392321142, 0.22432759388348089, 0.22475468674493548, 0.22520890917159375, 0.22569277800048493, 0.22620915195357241, 0.2267612950998886, 0.22735295529881672, 0.22798846189956593, 0.22867284840668542, 0.22941200781484647, 0.23021289111837523, 0.23108376349038215, 0.23203453838418911, 0.23307721824379335, 0.23422648306460925, 0.23550048706350671, 0.23692195308169797, 0.23851970064396774, 0.24033081830175634, 0.24240381452711851, 0.24480329191552133, 0.24761705926908603, 0.25096726920912249, 0.25502844375603273, 0.26005777629781657, 0.26644836837930913, 0.27482772408131195, 0.28625145362457888, 0.30261282638198672, 0.3275855259363204, 0.36900774755535609, 0.44536885348460631, 0.60065060029594186, 0.85459362378330361, 0.74501776562896915, 0.41418613679893818, 0.28107849169208105, 0.23473279741979058, 0.21675785821574997, 0.20916136921900302, 0.20583836534018918, 0.20442440668338049, 0.20389860874023408, 0.20378190128147428, 0.20383521168362767, 0.20393441397489412, 0.20401464340204095, 0.20404451067847965, 0.20401464340204115, 0.20393441397489412, 0.20383521168362781, 0.203781901281474, 0.20389860874023424, 0.20442440668338147, 0.20583836534018762, 0.20916136921900153, 0.21675785821573915, 0.23473279741976427, 0.28107849169211352, 0.41418613679907984, 0.74501776562900957, 0.85459362378330028, 0.6006506002958818, 0.44536885348468175, 0.36900774755530874, 0.32758552593626833, 0.30261282638198705, 0.28625145362459015, 0.27482772408131301, 0.26644836837931246, 0.2600577762978149, 0.25502844375603095, 0.2509672692091216, 0.24761705926908381, 0.24480329191552311, 0.2424038145271169, 0.2403308183017562, 0.23851970064396924, 0.23692195308169683, 0.23550048706350674, 0.23422648306461022, 0.23307721824379371, 0.23203453838418919, 0.23108376349038168, 0.2302128911183749, 0.22941200781484677, 0.22867284840668528, 0.2279884618995667, 0.22735295529881708, 0.22676129509988813, 0.2262091519535728, 0.22569277800048498, 0.22520890917159325, 0.22475468674493534, 0.22432759388348106, 0.22392540392321172, 0.22354613794804509, 0.22318802975794061, 0.22284949676312571, 0.22252911565957578, 0.2222256019860496, 0.22193779285104792, 0.2216646322632731, 0.22140515861202895, 0.2211584939323242, 0.22092383465896029, 0.22070044362889282, 0.22048764313495964, 0.22028480886910617, 0.22009136462142909, 0.21990677762412925, 0.21973055444795586, 0.21956223737381092, 0.21940140117453447, 0.21924765025205309, 0.21910061608348128, 0.21895995493670703, 0.21882534582181773, 0.21869648864953534, 0.21857310257192697, 0.21845492448404377, 0.21834170766805447, 0.21823322056387909, 0.21812924565240302, 0.21802957843914633, 0.21793402652775329, 0.21784240877400779, 0.21775455451217018, 0.21767030284641498, 0.21758950200099039, 0.21751200872344478, 0.21743768773589217, 0.21736641122985484, 0.21729805840069855, 0.21723251501809643, 0.21716967302933832, 0.2171094301926258, 0.21705168973778358, 0.21699636005207726, 0.21694335438905671, 0.21689259059853394, 0.21684399087600872, 0.21679748152998699, 0.21675299276580792, 0.216710458484702, 0.21666981609693731, 0.21663100634799226, 0.21659397315681825, 0.2165586634653007, 0.2165250270981402, 0.21649301663242274, 0.2164625872762119, 0.21643369675555985, 0.21640630520938822, 0.21638037509172037, 0.2163558710808057, 0.21633275999471799, 0.21631101071302203, 0.21629059410416671, 0.21627148295827445, 0.2162536519250271, 0.21623707745637508, 0.21622173775382911, 0.21620761272010375, 0.21619468391490443, 0.21618293451468043, 0.21617234927617229, 0.21616291450360073, 0.2161546180193695, 0.21614744913815548, 0.21614139864428508, 0.21613645877231089, 0.21613262319069756, 0.21612988698856733, 0.21612824666544286, 0.21612770012394752, 0.21612797337393264, 0.21612879322396417, 0.21613015997430668, 0.21613207412550503, 0.21613453637854504, 0.21613754763507692, 0.21614110899769648, 0.21614522177029305, 0.21614988745845912, 0.21615510776995511, 0.21616088461523908, 0.21616722010804928, 0.2161741165660499, 0.21618157651152245, 0.2161896026721192, 0.21619819798166187, 0.21620736558099352, 0.21621710881887254, 0.21622743125291702, 0.21623833665057998, 0.21624982899017631, 0.21626191246193247, 0.21627459146907207, 0.21628787062892965, 0.21630175477408442, 0.21631624895351373, 0.21633135843375656, 0.21634708870009101, 0.2163634454577065, 0.21638043463287363, 0.21639806237410572, 0.21641633505329888, 0.21643525926684648, 0.21645484183671759, 0.21647508981149755, 0.21649601046736774, 0.21651761130902986, 0.21653990007054913, 0.21656288471611834, 0.21658657344072213, 0.21661097467068524, 0.21663609706410647, 0.21666194951114121, 0.21668854113413738, 0.21671588128759206, 0.21674397955792357, 0.21677284576303177, 0.21680248995162849, 0.21683292240231977, 0.21686415362241301, 0.21689619434643229, 0.21692905553430855, 0.21696274836922536, 0.21699728425508896, 0.21703267481359712, 0.21706893188087137, 0.21710606750363054, 0.21714409393485717, 0.21718302362894154, 0.21722286923625223, 0.21726364359710307, 0.21730535973507872, 0.21734803084967413, 0.21739167030821557, 0.21743629163701114, 0.21748190851169913, 0.21752853474673947, 0.21757618428401715, 0.21762487118049872, 0.21767460959491239, 0.21772541377339641, 0.21777729803407703, 0.21783027675053579, 0.21788436433412267, 0.21793957521507606, 0.2179959238224167, 0.21805342456258489, 0.21811209179678751, 0.21817193981704053, 0.21823298282088552, 0.21829523488477878, 0.21835870993614984, 0.21842342172413887, 0.21848938378905178, 0.21855660943054941, 0.21862511167464876, 0.21869490323959054, 0.21876599650068276, 0.21883840345422384, 0.21891213568066462, 0.21898720430717028, 0.21906361996979931, 0.21914139277554054, 0.21922053226449106, 0.21930104737251788, 0.21938294639476266, 0.21946623695045639, 0.21955092594951428, 0.21963701956148438, 0.21972452318749061, 0.21981344143586698, 0.21990377810229875, 0.21999553615533846, 0.22008871772829997, 0.22018332411860636, 0.22027935579579838, 0.22037681241953064, 0.22047569286898769, 0.22057599528530972, 0.22067771712874329, 0.22078085525239013, 0.22088540599455814, 0.22099136529191404, 0.22109872881576598, 0.22120749213400509, 0.22131765090138872, 0.22142920108104533, 0.22154213920025745, 0.22165646264377206, 0.22177216998808016, 0.22188926138030007, 0.22200773896551787, 0.22212760736661735, 0.22224887422087955, 0.22237155077782078, 0.22249565256301429, 0.22262120011284367, 0.22274821978545822, 0.22313848181422519, 0.22354370613421162, 0.22396618392334713, 0.22440950228878551, 0.22487902577427313, 0.22538251695747791, 0.22593094482471338, 0.22653955954103236, 0.22722936434303684, 0.22802920625072878, 0.22897886849494412, 0.23013384122115352, 0.23157300336227185, 0.23341155538708966, 0.23582387585825165, 0.23908623697041109, 0.24366216613566929, 0.25038778626267078, 0.26091895129208947, 0.27896833541800947, 0.3144043545047992, 0.40012191414113107, 0.65050600229072519, 0.62745562197773874, 0.28960761009061103, 0.21764256142886396, 0.20038642740088214, 0.19535708842695251, 0.19386546506803271, 0.19355287926039849, 0.19364426843432436, 0.19385260028276144, 0.19406414246435727, 0.19423281929561048, 0.19434052682747194, 0.19438094669638711, 0.19435253756992207, 0.19425536975320151, 0.19408965528741945, 0.19385505534865247, 0.19355035623659578, 0.19317333204041012, 0.19272072472820306, 0.19218834391455064, 0.19157136003582714, 0.19086497609124728, 0.19006588207889502, 0.18917537219729505, 0.18820610773274365, 0.18719722890506457, 0.18624973388599339, 0.18561494590508609, 0.18593647295705992, 0.18899701823562101, 0.20043154202189695, 0.2418965228732235, 0.41394337112491975, 0.83211690271904548, 0.62057124121618312, 0.41745032752057298, 0.33446046029289728, 0.29468557668329115, 0.27236361223042166, 0.25834707943025115, 0.24880591803188615, 0.24190682025697485, 0.23667760525123469, 0.23256013246659141, 0.22921311859790233, 0.22641690506654361, 0.22402395739072956, 0.22193153792919018, 0.2200658510493394, 0.21837246500220192, 0.21681034687709416, 0.21534808866626512, 0.21396155234740219, 0.21263253286471867, 0.21134828487925092, 0.21010197589318111, 0.20889439951668404, 0.20773773219136041, 0.20666299081347603, 0.2057347114017655, 0.20508062671437946, 0.20495455717409325, 0.20587839395441404, 0.20898936804281273, 0.21697778457014319, 0.23693445340565519, 0.29003111216176536, 0.44201924240735896, 0.75825224405515024, 0.76310391015348267, 0.5435415695872281, 0.41749208922858178, 0.35317472955519769, 0.31706284026940612, 0.29472745776934323, 0.27981450502627392, 0.26925256767678735, 0.26142051807168709, 0.25539741550795181, 0.25062757252554119, 0.24675864948413723, 0.24355786418763015, 0.24086603879182922, 0.2385711208397702, 0.23659226451342691, 0.23486990271190589, 0.23335935380222134, 0.23202658683497457, 0.23084534542600219, 0.22979515021415575, 0.22885988330452398, 0.22802676670099814, 0.2272856127939781, 0.22662826617236378, 0.22604818231875248, 0.22554010587363277, 0.22509982252822569, 0.22472396629426966, 0.224409869183887, 0.22415544402330034, 0.22395909374196021, 0.22381964236628463, 0.22373628433408346, 0.22370854978980856, 0.22372703601650859, 0.22378255563617147, 0.22387529318670846, 0.22400556200490765, 0.22417381303945519, 0.22438064750328443, 0.22462683370088762, 0.22491332849437157, 0.22524130402756756, 0.22561218052017035, 0.22602766618644024, 0.22648980564239043, 0.2270010385641045, 0.22756427087873324, 0.22818296145119074, 0.22886122813261733, 0.229603978244727, 0.2304170702054737, 0.2313075152272793, 0.23228373108827369, 0.23335586425766588, 0.23453620269926612, 0.23583971031811982, 0.23728472654305074, 0.23889389297106536, 0.24069539655690433, 0.24272466074134952, 0.2450266808436829, 0.2476593026848862, 0.25069790923726382, 0.25424225444387322, 0.25842664909342417, 0.26343551676154903, 0.26952780109523089, 0.27707642564413554, 0.28663423724705678, 0.29904826177687083, 0.31566536828802033, 0.33871639255502833, 0.37205226655513091, 0.42252909384154574, 0.50211605172688167, 0.62688214278296384, 0.78469755615997905, 0.83083733015741901, 0.65128155639748131, 0.45253555617708374, 0.33651049045624021, 0.27679422337667825, 0.24545098014611044, 0.22820086384132315, 0.21828013941680371, 0.21238091214003124, 0.20879696569821199, 0.20660035384382153, 0.20526192017107417, 0.20446729751501264, 0.20402305971408782, 0.20380657922937367, 0.20373810387662869, 0.20376462963632128, 0.20385028547916539, 0.20397044241864554, 0.20410802306565864, 0.20425115325234128, 0.20439166064121178, 0.20452413155296442, 0.20464536032417147, 0.20475410495529944, 0.20485112188311283, 0.20493950778381925, 0.20502544319032062, 0.20511953304082944, 0.20523911064857775, 0.20541218777585976, 0.20568435008900907, 0.20613116149492727, 0.20688137307767512, 0.20816249620432323, 0.2103956694057183, 0.21440756118744173, 0.22194577818078687, 0.23706650351837588, 0.27031360225586559, 0.35223293286621221, 0.56225012579693945, 0.83845483759556649, 0.69606895448893968, 0.49184525186461842, 0.38693395753350868, 0.33327294060797641, 0.30289915505497417, 0.28406500930426209, 0.27152321500877408, 0.26269780432270373, 0.25621256656026081, 0.25127875028419983, 0.24741742724425345, 0.2443235823309611, 0.24179507368731909, 0.23969337017194317, 0.23792079276084002, 0.23640677057273107, 0.23509924053319148, 0.23395909582835506, 0.23295650287622396, 0.23206839776507035, 0.23127674698797029, 0.23056731517233911, 0.22992877625789046, 0.22935206177155087, 0.22882987560020507, 0.22835632751255841, 0.22792665258653758, 0.22753699360582139, 0.22718423019058395, 0.22686584303551152, 0.22657980484578102, 0.22632449184114153, 0.22609861133487394, 0.22590114208388581, 0.22573128497990064, 0.22558842229891321, 0.22547208420857132, 0.22538192159389375, 0.22531768453184392, 0.22527920594742407, 0.22526639013548738], [0.22722733761544139, 0.22725307143357487, 0.22733044660064575, 0.22745999180670157, 0.2276426137847046, 0.22787963715933696, 0.22817286333952413, 0.22852465194389546, 0.22893802985799666, 0.22941683521534637, 0.22996590667090794, 0.23059133275210053, 0.23130078254426925, 0.23210394863879855, 0.23301314801659165, 0.23404414949934019, 0.23521733297972738, 0.23655934539500931, 0.23810551875956329, 0.23990348938788583, 0.24201876912497222, 0.24454360069296985, 0.24761156306947305, 0.25142272153408474, 0.25628919646124698, 0.26272291736276615, 0.27161762341528017, 0.28466259303957597, 0.3053978002917801, 0.34231956408311354, 0.41956126827991919, 0.60986836242439468, 0.791923223083426, 0.39793377394629004, 0.2505581094518271, 0.21658133667107241, 0.20795719142391447, 0.20628306120223189, 0.20683634376034848, 0.20814616377287862, 0.20969399316318446, 0.21128560342362493, 0.21284929458132384, 0.21436291329446058, 0.21582509461780988, 0.2172432406678953, 0.2186283215065912, 0.21999261705651021, 0.22134877923220578, 0.22270950190667169, 0.22408747257228159, 0.22549545101217117, 0.22694639847266232, 0.22845361634344644, 0.23003086816173812, 0.23169246258020765, 0.23345327202293148, 0.23532865380262724, 0.23733422804300788, 0.23948545008166472, 0.24179689479057281, 0.24428114851072516, 0.24694718594078352, 0.24979810401830183, 0.25282810932232685, 0.25601873517046242, 0.2593344317589335, 0.2627179576300589, 0.26608640933384181, 0.26932920226797241, 0.27230969802108163, 0.27487218050584172, 0.27685518282174887, 0.27811057549417645, 0.27852558760101054, 0.27804287104722369, 0.27667300601789441, 0.27449531180504866, 0.27164622550366274, 0.26829840888235379, 0.26463631771611779, 0.26083416307457435, 0.25704030708410475, 0.25336941260613732, 0.24990138583026614, 0.24668496273781509, 0.24374364909184543, 0.24108221271603369, 0.23869260981688045, 0.2365588260635211, 0.23466052262892731, 0.23297560264665329, 0.23148190483436895, 0.23015824260878159, 0.22898498006130644, 0.22794429631544319, 0.22702025048206514, 0.22619872630601653, 0.22546731002085924, 0.22481513627616484, 0.22423272395385446, 0.22371181486279706, 0.22324522250371626, 0.22282669440104805, 0.22245078922128103, 0.22211276855478096, 0.22180850249778744, 0.22153438780918122, 0.22128727728539144, 0.22106441900063031, 0.22086340413773781, 0.22068212224937522, 0.22051872291721147, 0.22037158290474265, 0.22023927802016663, 0.22012055901575797, 0.22001433094816009, 0.21991963550987972, 0.2198356359168446, 0.21976160400115427, 0.21969690921335139, 0.21964100928586924, 0.21959344234989542, 0.21955382033275356, 0.21952182349301513, 0.21949719597669373, 0.21947974230078338, 0.21946932469073827, 0.21946586121678271, 0.21946643036087288, 0.21946813852299538, 0.21947098789424002, 0.21947498213153405, 0.21948012636533698, 0.21948642721044856, 0.21949389277998441, 0.21950253270256703, 0.21951235814280581, 0.21952338182514805, 0.21953561806119701, 0.21954908278060742, 0.21956379356569242, 0.21957976968986861, 0.21959703216012511, 0.21961560376366726, 0.21963550911895544, 0.21965677473134274, 0.21967942905356308, 0.21970350255132728, 0.21972902777431585, 0.21975603943290151, 0.21978457448092978, 0.21981467220495302, 0.21984637432033038, 0.21987972507464951, 0.2199147713589667, 0.21995156282741124, 0.21999015202575301, 0.22003059452957557, 0.22007294909277719, 0.22011727780717277, 0.22016364627405741, 0.22021212378866525, 0.22026278353855411, 0.22031570281704968, 0.22037096325299063, 0.22042865105814533, 0.22048885729380738, 0.22055167815824539, 0.22061721529684111, 0.22068557613695916, 0.22075687424981069, 0.22083122974182148, 0.22090876967829512, 0.22098962854248741, 0.22107394873355724, 0.22116188110728616, 0.22125358556390645, 0.22134923168793025, 0.22144899944547161, 0.22155307994525328, 0.22166167627030386, 0.22177500438826786, 0.22189329414934239, 0.22201679038208083, 0.22214575409876997, 0.22228046382376732, 0.2224212170601654, 0.22256833191247338, 0.22272214888574018, 0.22288303288477326, 0.22305137544092712, 0.22322759719850657, 0.22341215069825709, 0.22360552350192353, 0.22380824170972302, 0.22402087393200304, 0.22424403578787833, 0.22447839501756803, 0.22472467731227935, 0.22498367298644389, 0.22525624464301691, 0.22554333601466853, 0.22584598220366914, 0.22616532159341152, 0.22650260976757949, 0.22685923585287901, 0.22723674180302406, 0.22763684527212605, 0.22806146689391005, 0.2285127630018263, 0.22899316511113807, 0.2295054278612258, 0.23005268761767445, 0.23063853460590378, 0.23126710235775708, 0.23194317949565582, 0.23267235059596758, 0.23346117527174359, 0.2343174180065743, 0.23525034613041709, 0.23627112038966835, 0.23739331298460792, 0.23863360358553515, 0.24001272773836152, 0.24155678933146765, 0.24329910817439182, 0.2452828706756468, 0.24756501414114956, 0.25022205595307034, 0.25335908016667041, 0.25712402316906596, 0.26173119635263853, 0.26750162744827172, 0.27493561003843919, 0.28485066818666538, 0.29866183162831705, 0.31899719576286212, 0.35117651004562223, 0.40709443516855215, 0.51551782108724675, 0.7308995018713893, 0.89024938087085681, 0.56190627365158086, 0.33453390022306695, 0.25551982065685569, 0.22667892931872791, 0.21502542868748845, 0.21005031699225915, 0.20794292029822892, 0.20714327841761174, 0.20694886239539617, 0.20701947027479131, 0.2071813481419334, 0.20734275967071153, 0.20745520742659571, 0.20749505116173167, 0.2074552074265959, 0.2073427596707115, 0.20718134814193354, 0.2070194702747909, 0.20694886239539642, 0.20714327841761204, 0.20794292029822795, 0.21005031699225837, 0.21502542868748145, 0.22667892931871131, 0.25551982065687245, 0.33453390022314716, 0.56190627365162849, 0.89024938087082894, 0.7308995018713037, 0.51551782108735589, 0.40709443516848803, 0.35117651004555506, 0.31899719576286212, 0.29866183162833115, 0.28485066818666716, 0.27493561003844297, 0.2675016274482695, 0.26173119635263625, 0.25712402316906485, 0.25335908016666792, 0.25022205595307223, 0.24756501414114776, 0.24528287067564652, 0.2432991081743934, 0.24155678933146635, 0.24001272773836152, 0.23863360358553623, 0.23739331298460825, 0.23627112038966847, 0.23525034613041668, 0.23431741800657399, 0.23346117527174401, 0.23267235059596741, 0.23194317949565657, 0.23126710235775758, 0.23063853460590336, 0.23005268761767481, 0.22950542786122582, 0.22899316511113754, 0.22851276300182613, 0.22806146689391035, 0.22763684527212641, 0.22723674180302417, 0.22685923585287956, 0.22650260976757977, 0.22616532159341085, 0.22584598220366872, 0.22554333601466886, 0.22525624464301694, 0.22498367298644356, 0.22472467731227949, 0.22447839501756797, 0.22424403578787783, 0.22402087393200265, 0.22380824170972252, 0.22360552350192361, 0.22341215069825698, 0.22322759719850699, 0.22305137544092704, 0.22288303288477354, 0.2227221488857401, 0.22256833191247308, 0.22242121706016516, 0.22228046382376768, 0.22214575409876988, 0.22201679038208058, 0.22189329414934247, 0.22177500438826819, 0.22166167627030434, 0.22155307994525328, 0.22144899944547153, 0.22134923168793019, 0.22125358556390606, 0.22116188110728618, 0.22107394873355762, 0.22098962854248722, 0.22090876967829493, 0.22083122974182132, 0.22075687424981078, 0.22068557613695927, 0.22061721529684125, 0.2205516781582452, 0.22048885729380702, 0.22042865105814527, 0.22037096325299069, 0.22031570281704957, 0.22026278353855372, 0.22021212378866525, 0.22016364627405757, 0.22011727780717294, 0.22007294909277675, 0.22003059452957546, 0.21999015202575248, 0.21995156282741113, 0.21991477135896687, 0.21987972507464962, 0.21984637432033019, 0.21981467220495282, 0.21978457448092958, 0.21975603943290137, 0.21972902777431624, 0.21970350255132709, 0.2196794290535635, 0.21965677473134304, 0.21963550911895544, 0.21961560376366723, 0.21959703216012535, 0.2195797696898692, 0.21956379356569219, 0.21954908278060772, 0.21953561806119692, 0.21952338182514805, 0.21951235814280592, 0.21950253270256698, 0.2194938927799843, 0.21948642721044873, 0.21948012636533676, 0.21947498213153421, 0.21947098789424022, 0.2194681385229956, 0.21946643036087296, 0.21946586121678216, 0.21946614576710557, 0.21946699952223922, 0.21946842279471124, 0.21947041610551205, 0.21947298018426453, 0.21947611596946112, 0.21947982460876103, 0.21948410745936031, 0.21948896608842489, 0.21949440227358444, 0.21950041800349432, 0.21950701547845339, 0.21951419711108927, 0.21952196552709416, 0.21953032356602348, 0.21953927428214687, 0.21954882094535327, 0.21955896704210306, 0.21956971627643451, 0.21958107257100296, 0.21959304006817715, 0.21960562313116089, 0.21961882634515373, 0.21963265451854391, 0.21964711268412404, 0.21966220610033058, 0.21967794025249546, 0.21969432085411542, 0.21971135384811938, 0.21972904540813629, 0.21974740193975703, 0.21976643008177821, 0.2197861367074232, 0.21980652892552877, 0.21982761408169765, 0.21984939975939191, 0.21987189378097197, 0.21989510420865954, 0.21991903934541993, 0.21994370773574795, 0.21996911816633985, 0.21999527966665108, 0.22002220150930435, 0.22004989321035209, 0.22007836452936, 0.22010762546930657, 0.22013768627627112, 0.2201685574388923, 0.22020024968757726, 0.22023277399343549, 0.22026614156692031, 0.22030036385614349, 0.22033545254484421, 0.22037141954998105, 0.22040827701891919, 0.22044603732618032, 0.22048471306973039, 0.2205243170667569, 0.22056486234892134, 0.2206063621570338, 0.22064882993512108, 0.22069227932384933, 0.2207367241532551, 0.22078217843475625, 0.22082865635238549, 0.22087617225321943, 0.22092474063694553, 0.22097437614453755, 0.22102509354597996, 0.22107690772701363, 0.2211298336748464, 0.22118388646279233, 0.22123908123379901, 0.22129543318282147, 0.22135295753800582, 0.22141166954064972, 0.2214715844239136, 0.22153271739025013, 0.22159508358754179, 0.22165869808392819, 0.22172357584132593, 0.22178973168764349, 0.22185718028770626, 0.22192593611293587, 0.22199601340981004, 0.22206742616718694, 0.22214018808256064, 0.22221431252736723, 0.22228981251145644, 0.22236670064690647, 0.22244498911135416, 0.22252468961107927, 0.2226058133441022, 0.22268837096360269, 0.22277237254202514, 0.22285782753626066, 0.22294474475440268, 0.2230331323245828, 0.22312299766649779, 0.22321434746631441, 0.22330718765569374, 0.22340152339580543, 0.22349735906725973, 0.22359469826702119, 0.22369354381345588, 0.22379389776079317, 0.22389576142441803, 0.22399913541852007, 0.22410401970779215, 0.22421041367500788, 0.2243183162064786, 0.22442772579752635, 0.22453864068032564, 0.2246510589766034, 0.22476497887790886, 0.22488039885632735, 0.22499731790873717, 0.22511573583789987, 0.22523565357388808, 0.22535707353958065, 0.22548000006416505, 0.22560443984884557, 0.22573040248916368, 0.22585790105862671, 0.22598695275857436, 0.22611757963953552, 0.22624980939959349, 0.22638367626565975, 0.22679556075849108, 0.22722426158994297, 0.2276724535703078, 0.22814424046982154, 0.22864568542579794, 0.22918550001361479, 0.22977595050320784, 0.23043407607140287, 0.23118337696723257, 0.23205624173328154, 0.23309758154355359, 0.23437050712585816, 0.23596559110524357, 0.23801669229246517, 0.24072940598875911, 0.24443534396211594, 0.24970341308362337, 0.25758934608438894, 0.27026325684929481, 0.29284327908795943, 0.33991058628255294, 0.46368647412373737, 0.76847959984952419, 0.4647877712042992, 0.25481902409689161, 0.21191151009800727, 0.20079267855386274, 0.19750694969876295, 0.19661759194190809, 0.1965384735694406, 0.19672534514503087, 0.19697220501923807, 0.19719725513813102, 0.19736811207504215, 0.1974729147050836, 0.19750831790023862, 0.19747423766789632, 0.19737146995945043, 0.19720058961907697, 0.19696143784225187, 0.19665288736823602, 0.1962727470880461, 0.19581775522419675, 0.19528366764565269, 0.19466550744522013, 0.19395813633552625, 0.19315749374712785, 0.19226324873321513, 0.19128452313480063, 0.1902525617530989, 0.18924999184572874, 0.1884826200426018, 0.18847085045506912, 0.1906204252383642, 0.19920072022243901, 0.22970182288137062, 0.35145602771224266, 0.75627725262434198, 0.70774964297411691, 0.4591757783915637, 0.35541247653540509, 0.30765873252370685, 0.28170782803962646, 0.26578519787971205, 0.25512974929221688, 0.24752501294452672, 0.24182075503925471, 0.23736777804844167, 0.23377454012964163, 0.23079187249219274, 0.22825400302944024, 0.22604642259800151, 0.22408744111439122, 0.2223171384073335, 0.22069051906720311, 0.21917317990765303, 0.21773856963441179, 0.21636634783253345, 0.21504161877764041, 0.21375502791460915, 0.21250394527975247, 0.21129532199736609, 0.21015147941564336, 0.20912148574506725, 0.20830388710144471, 0.20789399082772059, 0.20828801193321012, 0.21032995519248543, 0.21595294058657072, 0.23004044623737588, 0.26651943067269107, 0.36923683104261062, 0.63761072220467885, 0.82823931648748261, 0.62175912747350792, 0.45948963676626148, 0.37721746823620167, 0.3327141708095272, 0.30607081222507715, 0.28872613896780025, 0.27667947470726734, 0.2678818077041587, 0.26119781282257315, 0.25595634426625996, 0.25173899707760472, 0.24827321314493253, 0.24537481434484518, 0.24291544856228683, 0.24080330368072378, 0.23897123172645326, 0.23736918587669342, 0.2359592597818374, 0.23471234768916949, 0.23360584282909314, 0.23262201779436081, 0.2317468631198811, 0.23096924008562145, 0.23028025311216238, 0.22967277835416464, 0.22914110529810378, 0.22868066149647326, 0.22828779952345579, 0.22795963135587494, 0.22769389963384834, 0.22748887825595512, 0.22734329691756072, 0.2272562857768943, 0.22722733761544139, 0.22724663266551398, 0.2273045838382301, 0.22740139107689417, 0.22753739392141278, 0.22771308113215563, 0.22792910451808268, 0.22818629734856588, 0.22848569787384038, 0.22882857865611733, 0.22921648263347302, 0.22965126711665351, 0.23013515727484479, 0.23067081112693857, 0.23126139865657194, 0.23191069846298495, 0.232623216416529, 0.23340433220842002, 0.2342604816131042, 0.23519938492813058, 0.2362303357278156, 0.23736456922055654, 0.23861573682504467, 0.24000052413314441, 0.24153946484848737, 0.24325802617566541, 0.24518807566734441, 0.24736989258496217, 0.24985496991816664, 0.25270998612156592, 0.25602254316495321, 0.25990963251442761, 0.26453041997679955, 0.2701060576656103, 0.27695127890312971, 0.28552641211120627, 0.29652605959264977, 0.31103609758320833, 0.33082255319026355, 0.35888119835776422, 0.40049346676474684, 0.46509249735248054, 0.56790522092964357, 0.71843222854090083, 0.84260115929448343, 0.74987279981322807, 0.53044672222519418, 0.37837667257026997, 0.29882427061780864, 0.25800208854299261, 0.23614792262525733, 0.22388756471964891, 0.21674776154429032, 0.21248523724054474, 0.2099115092753962, 0.20836435609434645, 0.20745821919350738, 0.20696001306608425, 0.20672423445624546, 0.20665753317395999, 0.20669860248616945, 0.20680636935368885, 0.20695285010470971, 0.20711871739686288, 0.20729049215945214, 0.20745873927436487, 0.2076169039851625, 0.20776057493079214, 0.2078870498521862, 0.20799513905365705, 0.20808518614486571, 0.20815932729063877, 0.20822206070017452, 0.20828127314206499, 0.20834999686123157, 0.20844940053232761, 0.20861395979318675, 0.20890064269015524, 0.2094058286341017, 0.21029789356292472, 0.21188344588409527, 0.21475102372722321, 0.22010841793807975, 0.23065362156664343, 0.25308803971904531, 0.3061896124160941, 0.4455065594224239, 0.74522663561851099, 0.80410016999063749, 0.56978471552840826, 0.42682739342031589, 0.35604556284982081, 0.31777772833307333, 0.2949107849093332, 0.28010557016165949, 0.26990846848991035, 0.26253898296091249, 0.25700582178241782, 0.2527211183002856, 0.24931766948042225, 0.24655600923122425, 0.24427423244108412, 0.24235948050205089, 0.24073101091713597, 0.23932975716967195, 0.2381116750810901, 0.23704337784256652, 0.23609919818820724, 0.23525916539685313, 0.23450758331299645, 0.2338320120002913, 0.23322252587305559, 0.23267116461045281, 0.2321715206802086, 0.23171842510158144, 0.23130770482035712, 0.23093599295649, 0.2306005785740122, 0.23029928636379079, 0.23003037926578354, 0.22979247894099877, 0.22958450036635919, 0.22940559782289427, 0.22925512028371803, 0.22913257475499565, 0.2290375965303591, 0.22896992562276974, 0.22892938886367273, 0.2289158873272488], [0.23014132832537723, 0.23016805674559421, 0.23024842699496284, 0.23038300218500235, 0.23057274843691911, 0.23081907790882597, 0.2311239124561878, 0.23148977177966373, 0.23191989170424518, 0.23241838068196158, 0.23299042605904449, 0.23364256662108077, 0.23438305525057709, 0.23522234652681859, 0.23617376095330295, 0.23725440390217517, 0.23848645970906285, 0.23989905102825729, 0.24153097152682582, 0.24343480619084693, 0.2456833270717157, 0.24837975714300009, 0.25167488822329032, 0.25579694519787383, 0.26110654374076908, 0.26820452847470683, 0.27816082707415341, 0.29304975992844351, 0.31736469038123882, 0.36235872461790763, 0.46131993944842836, 0.69931849503065047, 0.69708349646818757, 0.33588374571098883, 0.23861062639466959, 0.2153721704787929, 0.20955597009732774, 0.20877909899241154, 0.20965926141750368, 0.21109854216157742, 0.21270105771517323, 0.21431803694164878, 0.21589613432230995, 0.21742107850227907, 0.2188950523773856, 0.22032713189924635, 0.22172913943015793, 0.2231138607142627, 0.22449433209301475, 0.22588362303492596, 0.22729484862309121, 0.22874128540557595, 0.23023652755354229, 0.23179464891037871, 0.23343034786214933, 0.23515905378569738, 0.23699696942019807, 0.23896101400667555, 0.24106861759616752, 0.24333729741289772, 0.24578392289855464, 0.24842354887809714, 0.25126767112603199, 0.25432174594495799, 0.25758183416963526, 0.26103031025798046, 0.26463075899917099, 0.26832250670882352, 0.27201571650641321, 0.27558856300618439, 0.27888850651449604, 0.28173976992781008, 0.28395836034787331, 0.28537410894431281, 0.28585648226537813, 0.28533834347886844, 0.28383088114669652, 0.28142465038973091, 0.27827581350530312, 0.27458143807213592, 0.27055082204160058, 0.2663799644176878, 0.26223390396287743, 0.25823830007684734, 0.25447891301764958, 0.25100630890052139, 0.24784305202372611, 0.24499130593578233, 0.24243960821229243, 0.24016829066295711, 0.23815347966032577, 0.23636985203026992, 0.23479240852845981, 0.23339752621245338, 0.23216351113763448, 0.23107082228558867, 0.23010209056122988, 0.22924201837046748, 0.22847721645013344, 0.22779601404139183, 0.22718826438467316, 0.22664515815054048, 0.22615905139600548, 0.22572331088292327, 0.22533217734746611, 0.22498064603546675, 0.22466436315878355, 0.2243795366451066, 0.22412285949412289, 0.22389144411860895, 0.22368276617889701, 0.22349461657616684, 0.22332506043246897, 0.22317240204120206, 0.22303515491483494, 0.22291201618450335, 0.22280184471828143, 0.22270364242213803, 0.2226165382712097, 0.22253977469052957, 0.22247269596535607, 0.22241473841324452, 0.2223654220943628, 0.22232434387448491, 0.22229117168771745, 0.22226563987422798, 0.22224754549288891, 0.22223674553055606, 0.22223315494926532, 0.22223374450781766, 0.22223551394175975, 0.22223846552755352, 0.22224260306465793, 0.2222479318835916, 0.22225445885725903, 0.22226219241559636, 0.2222711425635884, 0.22228132090273364, 0.22229274065604501, 0.22230541669668819, 0.2223193655803731, 0.22233460558164253, 0.22235115673418915, 0.22236904087540124, 0.22238828169529498, 0.22240890479006661, 0.22243093772048206, 0.22245441007536962, 0.22247935354049059, 0.22250580197309283, 0.22253379148250246, 0.22256336051710168, 0.22259454995811404, 0.22262740322063587, 0.22266196636239821, 0.22269828820079016, 0.22273642043872369, 0.22277641779997964, 0.22281833817471997, 0.22286224277593766, 0.22290819630767164, 0.22295626714590389, 0.22300652753314198, 0.22305905378778693, 0.22311392652950418, 0.22317123092192662, 0.22323105693416403, 0.22329349962273437, 0.22335865943572161, 0.22342664254113231, 0.22349756118165134, 0.22357153405823674, 0.22364868674526181, 0.22372915214021932, 0.22381307095135569, 0.22390059222698741, 0.2239918739307131, 0.22408708356722959, 0.22418639886406361, 0.22429000851518499, 0.22439811299323903, 0.22451092543802831, 0.22462867262988134, 0.22475159605774761, 0.22487995309321146, 0.22501401828323184, 0.22515408477627544, 0.22530046589869679, 0.22545349690079333, 0.22561353689499569, 0.22578097101223676, 0.2259562128067899, 0.22613970694495661, 0.22633193221902931, 0.22653340493522231, 0.22674468273305418, 0.22696636890421765, 0.22719911729188894, 0.22744363786707705, 0.2277007030978726, 0.22797115525108583, 0.22825591479500801, 0.22855599010837369, 0.22887248874592514, 0.22920663056794655, 0.22955976311297666, 0.22993337968413383, 0.23032914073600325, 0.23074889929879089, 0.23119473137019603, 0.23166897245799051, 0.23217426178775505, 0.23271359612889145, 0.23329039577736987, 0.23390858602175679, 0.2345726984902882, 0.23528799824773544, 0.23606064455287776, 0.23689789605570843, 0.2378083752936124, 0.23880241322904736, 0.23989250318088826, 0.24109390630388641, 0.2424254701418628, 0.24391075165302711, 0.24557958314270922, 0.24747029531681436, 0.24963293687563981, 0.25213404282511531, 0.25506387668801894, 0.25854774905435546, 0.26276429408500912, 0.26797611216157968, 0.27458343828788678, 0.28322306649726842, 0.29496201517987758, 0.31170465799034258, 0.33712292882680855, 0.37898494094258844, 0.45540028605775928, 0.60882524968795038, 0.85999328295137989, 0.76509106179830078, 0.42807545940150443, 0.2888647733533577, 0.24058858611268263, 0.22210473372842729, 0.21445543729062061, 0.21123341181219082, 0.20997151981583601, 0.20961100328631604, 0.20965781927618404, 0.20986633174753297, 0.21010863468208776, 0.21031625676433521, 0.21045265656250847, 0.21049991760117581, 0.21045265656250867, 0.2103162567643353, 0.21010863468208779, 0.20986633174753241, 0.20965781927618424, 0.20961100328631588, 0.20997151981583551, 0.2112334118121903, 0.21445543729061614, 0.22210473372841649, 0.24058858611269479, 0.28886477335340582, 0.42807545940153463, 0.76509106179828712, 0.85999328295129895, 0.60882524968809859, 0.45540028605767058, 0.37898494094250024, 0.33712292882680872, 0.31170465799035957, 0.29496201517988008, 0.28322306649727302, 0.27458343828788478, 0.26797611216157718, 0.26276429408500795, 0.25854774905435268, 0.25506387668802122, 0.25213404282511326, 0.24963293687563959, 0.247470295316816, 0.24557958314270781, 0.24391075165302717, 0.242425470141864, 0.24109390630388666, 0.23989250318088834, 0.23880241322904699, 0.23780837529361212, 0.23689789605570882, 0.23606064455287759, 0.23528799824773627, 0.23457269849028875, 0.23390858602175635, 0.23329039577737029, 0.2327135961288915, 0.23217426178775447, 0.23166897245799029, 0.23119473137019619, 0.23074889929879122, 0.23032914073600347, 0.22993337968413433, 0.22955976311297693, 0.22920663056794585, 0.2288724887459247, 0.22855599010837402, 0.22825591479500798, 0.22797115525108549, 0.22770070309787285, 0.22744363786707686, 0.22719911729188833, 0.22696636890421712, 0.22674468273305368, 0.22653340493522239, 0.22633193221902928, 0.22613970694495711, 0.22595621280678979, 0.22578097101223701, 0.22561353689499569, 0.22545349690079303, 0.22530046589869643, 0.22515408477627583, 0.22501401828323178, 0.22487995309321124, 0.22475159605774772, 0.22462867262988165, 0.22451092543802881, 0.22439811299323903, 0.22429000851518494, 0.22418639886406366, 0.22408708356722931, 0.22399187393071315, 0.22390059222698794, 0.2238130709513555, 0.22372915214021905, 0.22364868674526162, 0.22357153405823688, 0.22349756118165154, 0.22342664254113245, 0.22335865943572147, 0.22329349962273398, 0.22323105693416406, 0.2231712309219267, 0.22311392652950407, 0.22305905378778662, 0.22300652753314198, 0.22295626714590411, 0.22290819630767172, 0.22286224277593725, 0.22281833817471977, 0.22277641779997917, 0.22273642043872355, 0.2226982882007903, 0.22266196636239832, 0.22262740322063557, 0.22259454995811384, 0.22256336051710146, 0.22253379148250227, 0.2225058019730933, 0.22247935354049039, 0.22245441007537012, 0.22243093772048239, 0.2224089047900667, 0.2223882816952949, 0.22236904087540152, 0.2223511567341897, 0.22233460558164236, 0.22231936558037352, 0.22230541669668813, 0.22229274065604496, 0.22228132090273375, 0.22227114256358835, 0.22226219241559628, 0.22225445885725914, 0.22224793188359132, 0.22224260306465807, 0.22223846552755375, 0.22223551394176008, 0.22223374450781774, 0.22223315494926471, 0.22223344970594339, 0.2222343340838453, 0.22223580840660742, 0.22223787321374106, 0.2222405292608112, 0.22224377751968666, 0.22224761917885372, 0.22225205564380651, 0.22225708853750456, 0.22226271970089326, 0.22226895119349765, 0.22227578529407593, 0.22228322450134244, 0.22229127153474598, 0.22229992933531506, 0.22230920106655783, 0.222319090115421, 0.22232960009329902, 0.22234073483710023, 0.22235249841035162, 0.22236489510436194, 0.22237792943941501, 0.2223916061660057, 0.22240593026611111, 0.22242090695448832, 0.22243654167999971, 0.22245284012695299, 0.22246980821646417, 0.22248745210781973, 0.22250577819984405, 0.22252479313226428, 0.22254450378706009, 0.22256491728979291, 0.22258604101090618, 0.2226078825669924, 0.22263044982200536, 0.22265375088842124, 0.22267779412832428, 0.22270258815441818, 0.22272814183094156, 0.2227544642744716, 0.2227815648546182, 0.22280945319456902, 0.22283813917149284, 0.2228676329167642, 0.22289794481600869, 0.22292908550893711, 0.22296106588895206, 0.22299389710250753, 0.22302759054819488, 0.22306215787553785, 0.22309761098346173, 0.22313396201841915, 0.22317122337213868, 0.22320940767897179, 0.22324852781280152, 0.22328859688349137, 0.22332962823282437, 0.22337163542991739, 0.22341463226606009, 0.22345863274894739, 0.22350365109626694, 0.2235497017285982, 0.22359679926159121, 0.2236449584973699, 0.22369419441513425, 0.22374452216090154, 0.22379595703636021, 0.22384851448677634, 0.2239022100879266, 0.22395705953200123, 0.22401307861244418, 0.22407028320768857, 0.22412868926374982, 0.22418831277564233, 0.22424916976758505, 0.22431127627197811, 0.22437464830711756, 0.22443930185364247, 0.22450525282970102, 0.22457251706484285, 0.22464111027264536, 0.22471104802209524, 0.2247823457077775, 0.22485501851890469, 0.22492908140728105, 0.22500454905427772, 0.22508143583694823, 0.22515975579341707, 0.22523952258772797, 0.22532074947434352, 0.22540344926255335, 0.22548763428106919, 0.22557331634313726, 0.22566050671256105, 0.22574921607104984, 0.22583945448742404, 0.22593123138921639, 0.22602455553732143, 0.22611943500441903, 0.22621587715796518, 0.22631388864866994, 0.22641347540544857, 0.2265146426379753, 0.22661739484805932, 0.22672173585120409, 0.22682766880984914, 0.22693519627991521, 0.22704432027244834, 0.22715504233230668, 0.22726736363601208, 0.22738128511104361, 0.22749680757907259, 0.22761393192579465, 0.22773265930025177, 0.22785299134671663, 0.22797493047245843, 0.22809848015491871, 0.22822364529207084, 0.22835043259997975, 0.22847885106183149, 0.22860891243298256, 0.22874063180683601, 0.22887402824667785, 0.22900912548889416, 0.22914595272336902, 0.2292845454571901, 0.22942494646825309, 0.22985755880631056, 0.23030892572333983, 0.23078213175167428, 0.23128182942806552, 0.23181482151890614, 0.23239082353922422, 0.23302347636013448, 0.23373172233485975, 0.23454173472278905, 0.23548972535345947, 0.23662620018677044, 0.23802269068697957, 0.23978288591060445, 0.24206194318997223, 0.24510183488927387, 0.24930027091965223, 0.25535587554289585, 0.26460513443814532, 0.27990854507860768, 0.30839651296997705, 0.37194695837763575, 0.55162899496530726, 0.77217823480131553, 0.35711175204585788, 0.23537834799054802, 0.2088558696537392, 0.20159691654021047, 0.19949104305957058, 0.19902520659390024, 0.19911182580397607, 0.19936484074987276, 0.19963613535530869, 0.19986737489962542, 0.20003641545072903, 0.20013610406887269, 0.20016533633845077, 0.20012511467247571, 0.20001676373781913, 0.19984111315702457, 0.19959812434804372, 0.19928672471370154, 0.19890474408803094, 0.1984489164912786, 0.19791495645852239, 0.19729776890713718, 0.1965919315553408, 0.19579274585971093, 0.19489848782644426, 0.19391524847556244, 0.19286756821069981, 0.19182270423815412, 0.19094918819882201, 0.19066942783664514, 0.1921008904213572, 0.1985226565903695, 0.22124139158721509, 0.30839532895147032, 0.64407051020612571, 0.79014179049671007, 0.50773138370223103, 0.37831047342232083, 0.32096338386894174, 0.29083528868899683, 0.27279527939326798, 0.26093623318768572, 0.25258631174090473, 0.24638971480721303, 0.24159457971577178, 0.23775380310701924, 0.23458613130410219, 0.23190624757131231, 0.22958718901084879, 0.22753901294963924, 0.22569612963215338, 0.22400950325866542, 0.22244172500165244, 0.22096387347711072, 0.21955357218028493, 0.21819394982046109, 0.21687342448638447, 0.21558644582127376, 0.21433562711978263, 0.21313622533516535, 0.21202498431973371, 0.21107765902571202, 0.21044490426624352, 0.21042963951588292, 0.21166544423482622, 0.21556424740736038, 0.22556280854414773, 0.25103541455641576, 0.32081038129820744, 0.51878262059907798, 0.82102304158132688, 0.70890086743878888, 0.5097304139808948, 0.40444389510833945, 0.34939271974424801, 0.31755067076577637, 0.29737858624219665, 0.28365851417229426, 0.27380039175788862, 0.2664063124280644, 0.2606675310146957, 0.25608872357839763, 0.25235193875106765, 0.24924495716085884, 0.24662141874435478, 0.24437755606665001, 0.24243805370577354, 0.24074714521845242, 0.23926283181189206, 0.23795302438160865, 0.23679290585771681, 0.23576308828118217, 0.23484829972634011, 0.23403643205545882, 0.2333178392403103, 0.23268481287404474, 0.23213118517851702, 0.23165202532908813, 0.23124340527924392, 0.23090221830774305, 0.23062603837600537, 0.23041301180078266, 0.23026177518919794, 0.23017139536263159, 0.23014132832537723, 0.23016136904350687, 0.23022156223781801, 0.23032212306334257, 0.23046341695020384, 0.23064597005424983, 0.23087048428562412, 0.23113785734113881, 0.23144920833037463, 0.23180590978570434, 0.23220962709610876, 0.23266236672116444, 0.23316653494824469, 0.23372500948417971, 0.23434122686574654, 0.23501928959168356, 0.23576409810732049, 0.23658151443258188, 0.23747856648928198, 0.23846370530928448, 0.23954713166748878, 0.24074121484680863, 0.24206103506375162, 0.24352509388586471, 0.24515625583266845, 0.24698301258507502, 0.24904120423161447, 0.25137639871825546, 0.25404723636792026, 0.25713021747696085, 0.26072669483149724, 0.26497331619502218, 0.27005800816679454, 0.27624512153685443, 0.28391621210853402, 0.29363844563554192, 0.3062836428366591, 0.3232436824942943, 0.34683522472391587, 0.38108014873909551, 0.43317928048453125, 0.51571372664610893, 0.6449424945518446, 0.80240690917038027, 0.82633202336482547, 0.62917802564964553, 0.43617893729108653, 0.32838189765239895, 0.2738130872610402, 0.24542330206982949, 0.22992661891509589, 0.22110750381351174, 0.21594000194456761, 0.21286668275480605, 0.21104186217978682, 0.20998412192581137, 0.20940806602907011, 0.20913856079921958, 0.20906493012749788, 0.20911545658949091, 0.20924265998206712, 0.20941452259982141, 0.20960911186161293, 0.20981120581253124, 0.21001013437733451, 0.21019838009466252, 0.21037066854894193, 0.21052338776904339, 0.21065424277515962, 0.21076209583944466, 0.21084697681209733, 0.21091027974301033, 0.21095520053950995, 0.21098752714508048, 0.21101698835149241, 0.21105953727975274, 0.21114126702116864, 0.21130529269245082, 0.21162425676475533, 0.21222401006078961, 0.21333075338396076, 0.21537071352807299, 0.21919686148474493, 0.22665240497568026, 0.2421283998405839, 0.27740571138732362, 0.36776267000387891, 0.60237978424813843, 0.85259849472215032, 0.66571896296546129, 0.47649534543683753, 0.38245126453970757, 0.33388284411266944, 0.30600573768740585, 0.28850328580623663, 0.27672594986744725, 0.26836550219482919, 0.26217584320248588, 0.2574362307880112, 0.25370555655275073, 0.2507009652879727, 0.24823388892504408, 0.24617443476123158, 0.24443060842263786, 0.24293569345629318, 0.24164031274896547, 0.24050727990983242, 0.23950816883528175, 0.23862097260000453, 0.23782847103162014, 0.23711707007132704, 0.2364759617584046, 0.23589650618949523, 0.2353717697530513, 0.23489617507424759, 0.23446523193995703, 0.23407532770092307, 0.23372356191219876, 0.23340761429587364, 0.23312563814017484, 0.23287617340378985, 0.23265807534688693, 0.23247045564192476, 0.23231263374964192, 0.23218409696172151, 0.23208446796880561, 0.2320134791516924, 0.23197095304428927, 0.23195678860174662], [0.23310812984407045, 0.2331358993759779, 0.23321940505329461, 0.23335924691239054, 0.23355645481592607, 0.23381253494661453, 0.23412953867495759, 0.23451015806230568, 0.23495785425285087, 0.23547702774459492, 0.23607324340018768, 0.23675352866519353, 0.23752677175542386, 0.23840425909673027, 0.23940041060403297, 0.240533801811879, 0.24182861099356212, 0.24331671084922141, 0.2450407633934592, 0.2470589220099236, 0.24945219385436804, 0.25233637371070355, 0.25588218005139635, 0.26035086949334507, 0.2661608573124733, 0.27402105639120083, 0.28522082885828837, 0.30232908434324496, 0.33111220172478734, 0.38666434505807468, 0.51481078385883716, 0.78265437038016283, 0.5691341136742154, 0.29590853454223109, 0.23130701106364684, 0.21533985518918303, 0.21155184023102724, 0.2114513654120021, 0.2125844494926166, 0.2141255683848996, 0.21577185449643907, 0.2174099423454135, 0.21900105162944802, 0.22053724924040749, 0.22202360303307292, 0.22347057160084108, 0.22489070546892254, 0.22629725202218168, 0.22770362925286536, 0.22912330359270305, 0.23056985587183593, 0.23205713193738683, 0.23359942611589624, 0.23521166869724525, 0.23690959707768289, 0.23870989029686079, 0.24063024090175425, 0.24268932700097368, 0.24490663076468294, 0.24730202692976708, 0.24989503597483242, 0.25270360298238692, 0.25574222968451144, 0.25901926499310052, 0.26253316981885788, 0.26626765046420398, 0.27018575093045971, 0.27422336248876239, 0.27828317869301139, 0.28223084415065924, 0.28589570733454284, 0.28907877942098287, 0.29156968421693064, 0.29317218756832414, 0.2937345777319243, 0.29317793847272355, 0.29151406258742979, 0.2888467926670244, 0.28535565044847033, 0.28126648836549567, 0.27681767879213232, 0.27223042899265931, 0.26768875499363798, 0.26333051214192538, 0.25924763362951769, 0.25549224329535131, 0.25208536523968955, 0.24902583202612821, 0.24629803447371973, 0.24387798920431866, 0.24173772144908742, 0.23984821464359013, 0.23818125570966026, 0.23671048762972366, 0.23541192490091647, 0.23426412417411435, 0.23324814631667762, 0.23234740196110101, 0.23154744019483417, 0.23083571742671663, 0.23020136827276003, 0.22963499043289257, 0.22912844932111867, 0.22867470444546123, 0.22826765735517399, 0.22790201979932984, 0.22757320018777633, 0.22727720626212797, 0.22701056191202471, 0.22677023621097514, 0.22655358293649661, 0.22635828904538213, 0.22618233077684821, 0.22602393624363948, 0.22588155353931019, 0.22575382353763537, 0.22563955668806945, 0.22553771322091137, 0.22544738626942454, 0.22536778749560366, 0.22529823487363235, 0.22523814234215653, 0.22518701108496317, 0.22514442224090395, 0.22511003087923687, 0.225083561107011, 0.22506480220162123, 0.2250536056850477, 0.22504988327721617, 0.22505049399274946, 0.22505232692724705, 0.22505538444608639, 0.22505967049717571, 0.22506519061940347, 0.2250719519545088, 0.22507996326243118, 0.22508923494019514, 0.22509977904441023, 0.22511160931748025, 0.22512474121762852, 0.22513919195286192, 0.22515498051902644, 0.22517212774209405, 0.22519065632489077, 0.22521059089843573, 0.22523195807813801, 0.22525478652508163, 0.22527910701268006, 0.22530495249899413, 0.22533235820503483, 0.22536136169943038, 0.2253920029898262, 0.22542432462146658, 0.22545837178342529, 0.22549419242299901, 0.22553183736883264, 0.22557136046339016, 0.22561281870545816, 0.22565627240340938, 0.2257017853400527, 0.22574942494995184, 0.22579926251019528, 0.2258513733456898, 0.22590583705015671, 0.22596273772413442, 0.22602216423141527, 0.22608421047549593, 0.22614897569778114, 0.22621656479947719, 0.2262870886893007, 0.22636066465937105, 0.22643741679191851, 0.22651747639972947, 0.22660098250358568, 0.22668808235033877, 0.22677893197568116, 0.22687369681617903, 0.22697255237567196, 0.22707568495180555, 0.22718329242918384, 0.2272955851464678, 0.22741278684573421, 0.22753513571351144, 0.2276628855242348, 0.22779630689835428, 0.22793568868910913, 0.22808133951403983, 0.22823358944972411, 0.22839279191107806, 0.22855932573992183, 0.22873359753149008, 0.22891604423229175, 0.22910713604838137, 0.22930737970985557, 0.22951732214549436, 0.22973755463129611, 0.22996871748847925, 0.23021150542100491, 0.23046667360026254, 0.23073504462623767, 0.23101751652112842, 0.23131507194442161, 0.2316287888595874, 0.23195985293397603, 0.23230957201828817, 0.23267939313387986, 0.23307092250042555, 0.23348594926998112, 0.23392647380558768, 0.23439474156590662, 0.234893283949416, 0.23542496783637637, 0.23599305607772644, 0.23660128186459073, 0.23725394083760795, 0.23795600605908035, 0.23871327271485959, 0.23953254184664308, 0.24042185585328643, 0.24139080342019037, 0.24245091867807653, 0.2436162099199439, 0.24490386898211139, 0.24633523647230432, 0.24793713550612312, 0.24974374623425316, 0.25179929058685502, 0.25416195919329487, 0.2569097924926303, 0.26014972675290682, 0.26403193719070728, 0.26877338559909425, 0.27469806591082807, 0.28230908792484966, 0.292425087136577, 0.30645568049768429, 0.32700188750377218, 0.35928441817997286, 0.41484816201225372, 0.5212509434280681, 0.73098060236614004, 0.90238585546429573, 0.58569092136308842, 0.34634388271399602, 0.26241457277414992, 0.23208942184204756, 0.22003688795027684, 0.21502561005930121, 0.21301166934305257, 0.2123520007403405, 0.21231193568099008, 0.21253796969514877, 0.21285030192043725, 0.21315374460624231, 0.21339674086404925, 0.21355155878215762, 0.21360453616535485, 0.21355155878215784, 0.21339674086404922, 0.21315374460624223, 0.21285030192043672, 0.21253796969514904, 0.21231193568098955, 0.2123520007403403, 0.21301166934305232, 0.21502561005929841, 0.22003688795026979, 0.23208942184205505, 0.26241457277417929, 0.34634388271401756, 0.5856909213630892, 0.90238585546429895, 0.73098060236632367, 0.52125094342794021, 0.41484816201213348, 0.35928441817997075, 0.32700188750379289, 0.30645568049768707, 0.2924250871365825, 0.28230908792484694, 0.2746980659108248, 0.26877338559909275, 0.26403193719070411, 0.26014972675290926, 0.25690979249262808, 0.25416195919329476, 0.25179929058685685, 0.24974374623425161, 0.24793713550612317, 0.24633523647230546, 0.24490386898211158, 0.24361620991994404, 0.24245091867807608, 0.24139080342019004, 0.24042185585328685, 0.23953254184664291, 0.23871327271486045, 0.23795600605908085, 0.23725394083760751, 0.23660128186459103, 0.23599305607772647, 0.2354249678363757, 0.23489328394941575, 0.23439474156590684, 0.23392647380558812, 0.23348594926998129, 0.23307092250042613, 0.23267939313388014, 0.23230957201828742, 0.23195985293397561, 0.23162878885958771, 0.23131507194442172, 0.23101751652112801, 0.23073504462623795, 0.23046667360026243, 0.23021150542100433, 0.22996871748847875, 0.22973755463129555, 0.22951732214549442, 0.22930737970985551, 0.22910713604838176, 0.22891604423229167, 0.22873359753149047, 0.22855932573992169, 0.22839279191107775, 0.2282335894497238, 0.22808133951404025, 0.22793568868910913, 0.22779630689835401, 0.22766288552423497, 0.22753513571351183, 0.22741278684573474, 0.2272955851464678, 0.2271832924291837, 0.22707568495180555, 0.22697255237567149, 0.22687369681617908, 0.22677893197568158, 0.22668808235033844, 0.22660098250358543, 0.22651747639972936, 0.22643741679191867, 0.22636066465937119, 0.22628708868930081, 0.22621656479947702, 0.2261489756977807, 0.22608421047549596, 0.22602216423141541, 0.22596273772413444, 0.22590583705015638, 0.22585137334568986, 0.22579926251019553, 0.22574942494995204, 0.22570178534005228, 0.22565627240340927, 0.22561281870545766, 0.22557136046338999, 0.22553183736883275, 0.22549419242299917, 0.22545837178342501, 0.22542432462146647, 0.22539200298982595, 0.22536136169943027, 0.22533235820503533, 0.2253049524989939, 0.22527910701268053, 0.22525478652508185, 0.22523195807813803, 0.22521059089843559, 0.22519065632489094, 0.22517212774209472, 0.2251549805190263, 0.22513919195286231, 0.22512474121762843, 0.22511160931748023, 0.22509977904441031, 0.22508923494019503, 0.22507996326243113, 0.22507195195450891, 0.22506519061940325, 0.22505967049717587, 0.22505538444608664, 0.22505232692724736, 0.22505049399274954, 0.22504988327721553, 0.22505018861147327, 0.22505110472597561, 0.22505263195595265, 0.22505477086024347, 0.22505752222148617, 0.2250608870463813, 0.22506486656602367, 0.22506946223631419, 0.22507467573844323, 0.22508050897944074, 0.22508696409280377, 0.2250940434391869, 0.22510174960716767, 0.22511008541406946, 0.22511905390685677, 0.22512865836308804, 0.22513890229193229, 0.22514978943523903, 0.22516132376867007, 0.22517350950287265, 0.22518635108471674, 0.2251998531985642, 0.2252140207675859, 0.22522885895511771, 0.22524437316604715, 0.22526056904823033, 0.22527745249392939, 0.22529502964127454, 0.22531330687573106, 0.22533229083157352, 0.22535198839336323, 0.22537240669741176, 0.22539355313323034, 0.22541543534495165, 0.22543806123272353, 0.22546143895405005, 0.22548557692508642, 0.22551048382186081, 0.22553616858142583, 0.22556264040291663, 0.22558990874850182, 0.22561798334422656, 0.22564687418071036, 0.22567659151370656, 0.22570714586448543, 0.2257385480200404, 0.22577080903308744, 0.225803940221838, 0.22583795316952818, 0.22587285972367696, 0.22590867199505599, 0.22594540235633478, 0.22598306344038677, 0.22602166813821853, 0.22606122959650107, 0.22610176121466416, 0.22614327664153303, 0.22618578977145801, 0.22622931473992169, 0.22627386591857213, 0.22631945790965374, 0.22636610553979428, 0.22641382385310721, 0.22646262810357748, 0.22651253374667435, 0.22656355643016857, 0.22661571198409267, 0.22666901640981996, 0.22672348586820229, 0.22677913666674221, 0.22683598524574408, 0.22689404816341247, 0.22695334207985776, 0.22701388373997516, 0.22707568995516103, 0.22713877758384021, 0.22720316351078534, 0.2272688646251998, 0.22733589779756491, 0.22740427985523926, 0.22747402755682547, 0.22754515756531718, 0.22761768642005384, 0.22769163050754487, 0.22776700603120331, 0.2278438289800952, 0.22792211509678978, 0.22800187984445602, 0.22808313837334704, 0.22816590548688134, 0.22825019560752574, 0.22833602274275802, 0.22842340045141216, 0.22851234181075783, 0.22860285938473773, 0.22869496519380819, 0.22878867068694653, 0.22888398671640642, 0.2289809235159086, 0.22907949068304892, 0.22917969716675907, 0.22928155126080335, 0.22938506060435779, 0.22949023219087186, 0.22959707238650776, 0.22970558695960461, 0.22981578112275897, 0.22992765958924569, 0.2300412266456876, 0.23015648624304241, 0.23027344210816589, 0.23039209787837844, 0.23051245726170186, 0.23063452422560154, 0.23075830321733182, 0.23088379941917356, 0.23101101904212992, 0.23113996966187661, 0.23127066060103635, 0.23140310336212494, 0.23153731211579887, 0.23167330424936017, 0.23181110098077229, 0.23195072804382078, 0.23209221645039615, 0.23223560333632204, 0.23238093289755726, 0.23252825742414784, 0.23298286984845018, 0.23345835927895908, 0.23395826591499808, 0.23448785313207138, 0.23505474839428356, 0.23566978957890644, 0.23634815992438721, 0.23711094742073099, 0.23798735690797701, 0.23901796816464557, 0.24025973553187133, 0.24179399892494208, 0.24373991960642166, 0.24627816367059849, 0.2496950852421469, 0.25447090471427775, 0.26147092540722056, 0.27240615600047224, 0.29110500093511782, 0.32771129706108443, 0.41580649914107287, 0.66853905903880118, 0.63159362948163356, 0.29572694437706465, 0.22459482985067725, 0.2077684948750797, 0.20302199184227221, 0.20172992830820402, 0.20156465920234046, 0.20176915207275345, 0.2020676154906238, 0.20235369126715136, 0.20258636394972085, 0.20275115408195912, 0.20284445355153605, 0.202866840525249, 0.20282012272283589, 0.20270600628091709, 0.20252549608771808, 0.20227863007731472, 0.2019643665963578, 0.20158054503068812, 0.20112389320625987, 0.20059009244778103, 0.19997395278826885, 0.19926981883733891, 0.19847246005096192, 0.19757898166403781, 0.19659292435407044, 0.19553321129647486, 0.19445434413293261, 0.19349438425561721, 0.19299736639474185, 0.1938572033150277, 0.19861734697843725, 0.21564853073953544, 0.27866296441688387, 0.53346983989978503, 0.84683198014312, 0.56728818000827386, 0.40561200248192542, 0.33611930599758211, 0.30089260511038413, 0.28034647734435758, 0.26709553042515671, 0.25789881868183961, 0.25115026121168549, 0.2459755881076903, 0.24186255831435605, 0.2384928194326234, 0.23565871566383845, 0.23321919114475267, 0.23107504890074299, 0.22915439899847939, 0.22740376286875086, 0.22578247378721739, 0.22425909709104644, 0.22280916940635997, 0.22141388947374019, 0.22005961818245418, 0.21873824523241708, 0.2174487313464129, 0.21620055214595985, 0.21502057937863306, 0.2139666548116437, 0.21315502655554866, 0.21281836236988041, 0.21343618971132308, 0.21605199337921807, 0.2231223518006562, 0.2410689029656462, 0.28888599643638901, 0.4261631001709294, 0.73560589828549228, 0.79319126426447106, 0.57299165156896914, 0.43799611633395585, 0.36905542278476183, 0.33059018025233744, 0.30693474917941194, 0.29120950293418812, 0.28010869576806569, 0.27189732480264445, 0.26559446951937027, 0.26061060818386467, 0.25657319461111666, 0.25323679493699669, 0.25043399443268394, 0.24804720277788503, 0.24599175191656628, 0.24420538054318333, 0.24264147670458155, 0.24126460994208002, 0.24004750165478919, 0.23896892382542106, 0.23801221177373244, 0.23716419207294454, 0.23641439687985555, 0.23575447959021467, 0.23517777454920877, 0.23467896164815641, 0.23425380864763823, 0.23389897218037811, 0.23361184396314072, 0.23339043264406498, 0.23323327448387571, 0.23313936808059452, 0.23310812984407045, 0.2331289510942568, 0.23319149129309255, 0.23329598199518914, 0.23344281655156651, 0.23363256146603603, 0.23386597274017071, 0.23414401768506199, 0.23446790286316629, 0.23483910905017075, 0.23525943439028885, 0.23573104727903532, 0.23625655097263423, 0.23683906252975417, 0.23748230949055499, 0.23819074876180293, 0.23896971360657979, 0.23982559657871069, 0.24076607890640372, 0.24180042052743619, 0.24293983017121232, 0.24419794226848221, 0.24559143811581402, 0.24714086429174334, 0.24887172444854727, 0.25081595553473429, 0.25301395322628767, 0.25551739560233827, 0.25839324908789069, 0.26172956200541259, 0.26564402319879926, 0.27029690626945613, 0.27591116489579559, 0.28280454974416613, 0.29144262227661283, 0.30252943195896642, 0.3171686954037497, 0.33716181945448809, 0.36557827397381293, 0.40785879298580685, 0.47377379347649806, 0.57907008612264255, 0.73225866942403128, 0.84899375422318646, 0.73657517435630038, 0.51468392381132222, 0.36927648702380811, 0.294951328469584, 0.25725963069862695, 0.23726991934921315, 0.22617333513132032, 0.21980013574329504, 0.21606832874330861, 0.21387831890305878, 0.21261916492592928, 0.21193624115502935, 0.21161589074624301, 0.21152525505936895, 0.21157946909078895, 0.21172306747146702, 0.21191907941674432, 0.21214243925269846, 0.21237589983961513, 0.21260744130099959, 0.21282859811891744, 0.21303336590570629, 0.21321748536451149, 0.21337798165360741, 0.21351288751380704, 0.21362111218332899, 0.21370244401569174, 0.21375769927225796, 0.21378905915963312, 0.21380068045740205, 0.21379973649929224, 0.21379817200071422, 0.2138156917953811, 0.21388496511032185, 0.21406096913293626, 0.21443841677799561, 0.21518580295311568, 0.21661573409435517, 0.2193403621201766, 0.22464433274097811, 0.23547352825969489, 0.259381136138783, 0.31832201425387474, 0.47825803204836487, 0.79363183652441238, 0.77275290017301512, 0.54210654253792057, 0.41584544664527739, 0.35317088028515736, 0.31873269292582013, 0.29783628613737295, 0.28413271667370488, 0.27459412780266956, 0.26763928271535464, 0.2623778383095719, 0.25827665850912329, 0.25499995609021675, 0.25232718888224975, 0.25010833051054659, 0.24823825015601786, 0.24664139402502794, 0.245262280233429, 0.24405940717671834, 0.24300123705848028, 0.24206348015208293, 0.24122721676516753, 0.24047757186989777, 0.23980276229113387, 0.2391933999426214, 0.23864197412905161, 0.23814246106883685, 0.23769002511775122, 0.23728078698488062, 0.23691164152350896, 0.23658011268159543, 0.23628423668372278, 0.23602246698436224, 0.23579359630300437, 0.23559669233738223, 0.23543104469333589, 0.23529612126502897, 0.23519153281312583, 0.23511700486793013, 0.23507235636309551, 0.23505748460892814], [0.23436559761945891, 0.23439422816030811, 0.23448032848236763, 0.23462453411842124, 0.23482793628197349, 0.23509213182012889, 0.23541929729465555, 0.23581229188045535, 0.23627479597860793, 0.23681149548673142, 0.23742832599689603, 0.23813279748919225, 0.23893442945290541, 0.23984534058146179, 0.24088105923029829, 0.24206165579737537, 0.24341335505611988, 0.24497088150971966, 0.24678095455045179, 0.24890764197315426, 0.25144082072488749, 0.25451003921728516, 0.25830820271432858, 0.26313409222409528, 0.2694733306959381, 0.27816399359283134, 0.29076655894726422, 0.31048646641676986, 0.3448124386962419, 0.41431075688511299, 0.58138248947566051, 0.81973756398223474, 0.45695235197450562, 0.26889216904901575, 0.22560251018515601, 0.21467010510330492, 0.21234960310361484, 0.21273890164107631, 0.21404433634440909, 0.21564341385699271, 0.21730463658619392, 0.2189421701648106, 0.22052852814653104, 0.22206058154127709, 0.22354547732558638, 0.22499458670957403, 0.2264208876936393, 0.22783788173621489, 0.22925921675338887, 0.23069864106773508, 0.23217011275941948, 0.23368798002239433, 0.2352671900808874, 0.23692350261235318, 0.23867368973407194, 0.24053570328085117, 0.24252878308162854, 0.24467346738051449, 0.24699144772820783, 0.2495051845502797, 0.25223716549818043, 0.25520864748193001, 0.25843767952357277, 0.26193616894854982, 0.26570575169016381, 0.26973229978073177, 0.2739791062876839, 0.27837920170226599, 0.28282792568561038, 0.28717776223908531, 0.29123831199042149, 0.29478462485421442, 0.29757626226884754, 0.29938687877145742, 0.3000400535265223, 0.29944302825539953, 0.29760826200416995, 0.29465512767463581, 0.29079033219832662, 0.28627291380990211, 0.28137428135741965, 0.27634369212025017, 0.2713856388571399, 0.26665048629437715, 0.26223582094832454, 0.25819435165278387, 0.25454444169757801, 0.25128052225435116, 0.24838191921096925, 0.24581960199759473, 0.24356094272968695, 0.24157283435748134, 0.2398235768394924, 0.23828390032664221, 0.23692741816155849, 0.23573072416711194, 0.23467328251895672, 0.23373720803431372, 0.23290699865888709, 0.23216925735878438, 0.2315124244905814, 0.23092653148547584, 0.23040298041314675, 0.2299343503106015, 0.22951422912704492, 0.22913706911969889, 0.22879806313005219, 0.22849303911565855, 0.22821837044821786, 0.22797089971599924, 0.22774787402992969, 0.22754689009510906, 0.22736584755587491, 0.22720290934480686, 0.2270564679615911, 0.22692511677687738, 0.22680762560105894, 0.22670291988086419, 0.22661006299063391, 0.22652824117280659, 0.22645675075597044, 0.22639498734108518, 0.22634243669905219, 0.22629866716737473, 0.22626332337165364, 0.22623612113030411, 0.22621684342918522, 0.2262053373777394, 0.22620151208045475, 0.22620213944312023, 0.22620402234321654, 0.22620716321879311, 0.2262115661391001, 0.22621723681337247, 0.22622418260317018, 0.2262324125383367, 0.22624193733663442, 0.22625276942713973, 0.22626492297749934, 0.22627841392515588, 0.2262932600126763, 0.22630948082733982, 0.22632709784513483, 0.22634613447938404, 0.22636661613417686, 0.22638857026286904, 0.22641202643189168, 0.22643701639016509, 0.22646357414442858, 0.22649173604082481, 0.22652154085313589, 0.22655302987806386, 0.22658624703802752, 0.22662123899196693, 0.22665805525470267, 0.22669674832544684, 0.22673737382611817, 0.22677999065018584, 0.22682466112281494, 0.22687145117318536, 0.22692043051992405, 0.22697167287068873, 0.22702525613704549, 0.22708126266588935, 0.22713977948879877, 0.22720089859083697, 0.22726471720049013, 0.2273313381025894, 0.227400869976288, 0.22747342776035961, 0.227549133048351, 0.22762811451640377, 0.22771050838687174, 0.22779645893122732, 0.22788611901616074, 0.22797965069723339, 0.22807722586499299, 0.22817902694904502, 0.22828524768628908, 0.22839609396031721, 0.22851178471988326, 0.22863255298542648, 0.22875864695384301, 0.22889033121313826, 0.22902788808022884, 0.22917161907711517, 0.22932184656289248, 0.22947891554173078, 0.22964319567008379, 0.22981508349008756, 0.22999500492049479, 0.23018341804170814, 0.23038081621772616, 0.23058773160528875, 0.23080473910949931, 0.23103246085610979, 0.23127157126380887, 0.23152280281598486, 0.23178695265106705, 0.23206489011478279, 0.23235756544752725, 0.23266601981713578, 0.23299139695364107, 0.2333349567005914, 0.23369809087072302, 0.23408234188658877, 0.23448942480519613, 0.2349212534778499, 0.23537997179307829, 0.23586799120660551, 0.23638803609831682, 0.2369431989403393, 0.23753700785265647, 0.23817350991947467, 0.2388573747217273, 0.23959402402588226, 0.24038979562865836, 0.24125215224734767, 0.24218995045248545, 0.24321379055585376, 0.24433647701490102, 0.24557363175906641, 0.24694452225313859, 0.24847319600278864, 0.25019006019847645, 0.25213412076898761, 0.25435621975052264, 0.25692382121726254, 0.2599282656648908, 0.26349608210860193, 0.26780720761137305, 0.27312544492739177, 0.27985162485935872, 0.28862120292108584, 0.30049440235495189, 0.31735359460480217, 0.34280470752697695, 0.38441437108851439, 0.45965944242540568, 0.60942703004570231, 0.86068618838855404, 0.79413266228930779, 0.44635323726516213, 0.29707761653130249, 0.24558471762196304, 0.22611816427600168, 0.21820167801783991, 0.21496607722979574, 0.21378783442198226, 0.21354942725784548, 0.21373283842275523, 0.21408193252721233, 0.21446374059342291, 0.21480678873843512, 0.21507193333523422, 0.2152379566057023, 0.21529435457111781, 0.21523795660570258, 0.21507193333523425, 0.21480678873843517, 0.2144637405934223, 0.21408193252721261, 0.21373283842275442, 0.21354942725784548, 0.21378783442198213, 0.21496607722979411, 0.21820167801783544, 0.22611816427600631, 0.24558471762198147, 0.29707761653131531, 0.44635323726515747, 0.79413266228941337, 0.86068618838870248, 0.60942703004551757, 0.45965944242524104, 0.38441437108851223, 0.34280470752700343, 0.31735359460480617, 0.30049440235495839, 0.28862120292108262, 0.279851624859355, 0.27312544492739005, 0.26780720761136967, 0.26349608210860459, 0.25992826566488825, 0.25692382121726226, 0.25435621975052441, 0.25213412076898611, 0.2501900601984765, 0.24847319600279, 0.24694452225313882, 0.2455736317590666, 0.24433647701490063, 0.24321379055585349, 0.2421899504524859, 0.24125215224734747, 0.24038979562865917, 0.23959402402588265, 0.23885737472172688, 0.23817350991947497, 0.23753700785265652, 0.23694319894033863, 0.2363880360983166, 0.23586799120660576, 0.2353799717930786, 0.23492125347785009, 0.23448942480519669, 0.23408234188658894, 0.23369809087072216, 0.23333495670059104, 0.23299139695364152, 0.23266601981713575, 0.23235756544752689, 0.23206489011478304, 0.23178695265106697, 0.23152280281598428, 0.23127157126380837, 0.23103246085610926, 0.23080473910949945, 0.23058773160528873, 0.23038081621772666, 0.23018341804170805, 0.2299950049204951, 0.22981508349008742, 0.22964319567008348, 0.22947891554173042, 0.22932184656289287, 0.2291716190771152, 0.2290278880802285, 0.22889033121313831, 0.22875864695384338, 0.22863255298542701, 0.22851178471988337, 0.22839609396031718, 0.22828524768628905, 0.22817902694904452, 0.22807722586499307, 0.22797965069723389, 0.22788611901616057, 0.22779645893122705, 0.22771050838687154, 0.22762811451640386, 0.22754913304835123, 0.2274734277603597, 0.22740086997628783, 0.22733133810258899, 0.22726471720049007, 0.22720089859083703, 0.22713977948879868, 0.22708126266588904, 0.22702525613704538, 0.22697167287068901, 0.22692043051992422, 0.22687145117318494, 0.22682466112281477, 0.22677999065018536, 0.22673737382611805, 0.22669674832544695, 0.22665805525470278, 0.22662123899196662, 0.22658624703802735, 0.22655302987806361, 0.22652154085313569, 0.22649173604082534, 0.22646357414442841, 0.22643701639016553, 0.22641202643189196, 0.22638857026286921, 0.22636661613417677, 0.22634613447938426, 0.22632709784513549, 0.22630948082733973, 0.22629326001267669, 0.22627841392515588, 0.22626492297749937, 0.22625276942713987, 0.22624193733663428, 0.22623241253833665, 0.22622418260317023, 0.22621723681337219, 0.22621156613910023, 0.22620716321879331, 0.22620402234321682, 0.22620213944312037, 0.22620151208045414, 0.22620182573753045, 0.22620276682361723, 0.22620433568333034, 0.22620653289115872, 0.22620935925166374, 0.2262128157997555, 0.22621690380104173, 0.22622162475226126, 0.22622698038179095, 0.22623297265022557, 0.22623960375103661, 0.22624687611129971, 0.22625479239250013, 0.22626335549139956, 0.22627256854097913, 0.22628243491144504, 0.22629295821129999, 0.22630414228847373, 0.22631599123151899, 0.22632850937085203, 0.2263417012800622, 0.22635557177725768, 0.22637012592646288, 0.22638536903905887, 0.22640130667525887, 0.22641794464561921, 0.22643528901257243, 0.22645334609199319, 0.22647212245477027, 0.22649162492839223, 0.22651186059853942, 0.22653283681066796, 0.22655456117158371, 0.2265770415509924, 0.22660028608302801, 0.22662430316773258, 0.22664910147249423, 0.22667468993341774, 0.22670107775662957, 0.22672827441949489, 0.22675628967173173, 0.22678513353642354, 0.2268148163108917, 0.22684534856743385, 0.22687674115389356, 0.2269090051940571, 0.22694215208784943, 0.22697619351131057, 0.22701114141633311, 0.22704700803013628, 0.22708380585445601, 0.2271215476644195, 0.22716024650708561, 0.22719991569961639, 0.22724056882705723, 0.22728221973968882, 0.2273248825499283, 0.22736857162873259, 0.22741330160148757, 0.22745908734333273, 0.22750594397389248, 0.22755388685137623, 0.22760293156600184, 0.22765309393271654, 0.22770438998315751, 0.227756835956829, 0.22781044829143859, 0.22786524361236843, 0.22792123872122191, 0.22797845058342345, 0.22803689631481985, 0.22809659316724923, 0.22815755851304445, 0.22821980982843604, 0.2282833646758238, 0.22834824068489273, 0.22841445553255804, 0.22848202692171571, 0.2285509725588025, 0.22862131013015974, 0.22869305727722072, 0.22876623157054155, 0.22884085048270991, 0.2289169313602023, 0.22899449139423728, 0.22907354759074081, 0.22915411673952293, 0.22923621538281946, 0.22931985978335806, 0.22940506589216991, 0.22949184931637132, 0.22958022528721145, 0.22967020862870957, 0.22976181372725987, 0.22985505450265048, 0.22994994438097238, 0.23004649627001647, 0.23014472253777035, 0.23024463499474904, 0.23034624488097863, 0.23044956285852228, 0.23055459901058289, 0.23066136284828817, 0.23076986332642724, 0.23088010886950253, 0.23099210740962745, 0.23110586643794959, 0.23122139307142175, 0.2313386941369372, 0.23145777627501779, 0.23157864606544812, 0.23170131017742648, 0.2318257755470641, 0.23195204958524709, 0.23208014041915478, 0.23221005717094861, 0.23234181027743731, 0.23247541185478837, 0.2326108761126579, 0.23274821982242083, 0.2328874628445069, 0.23302862872021793, 0.23317174533374888, 0.23331684565057262, 0.23346396853875667, 0.23361315968030455, 0.23376447258010075, 0.23391796968069017, 0.23439235137805051, 0.23488978069628261, 0.23541427518874297, 0.23597173473210542, 0.23657064407790415, 0.23722300858556852, 0.23794562179451886, 0.23876182668596568, 0.23970404415313515, 0.24081754338077052, 0.24216630199405209, 0.24384252385479058, 0.24598284226910633, 0.2487973781969004, 0.25262507970917769, 0.25804700386885904, 0.2661399591226376, 0.27911327009687797, 0.3021649776491952, 0.35005412146675091, 0.47533671377448139, 0.7807345930149131, 0.47174979515832338, 0.2601995497793303, 0.21744125109401077, 0.20657343743440695, 0.20348563080965926, 0.20274391697343386, 0.20277680362046588, 0.20305147117565905, 0.20336981486824571, 0.20365547892192326, 0.20387993113505259, 0.20403413784963428, 0.20411692018961461, 0.20412993417985636, 0.20407544599136329, 0.20395533775446179, 0.20377066844271399, 0.20352148632733952, 0.20320675422853479, 0.20282432676835319, 0.20237096080267561, 0.20184237059668997, 0.20123337423712162, 0.20053823555337397, 0.19975141875681271, 0.19886921056201456, 0.19789318993475821, 0.19683774825360145, 0.19574688215070787, 0.19473349374073817, 0.19407765220169823, 0.1944953295414826, 0.19796743132467515, 0.21074384332312479, 0.25667099910128321, 0.44240065173852411, 0.85065898275441576, 0.63781084241110864, 0.43624734152486327, 0.35128094304972729, 0.30989315551577584, 0.28645971934601516, 0.27166632810149105, 0.26156119551209972, 0.2542369433689376, 0.24867636271894855, 0.24429306918185467, 0.24072740106363144, 0.23774730688394266, 0.23519661092012678, 0.23296635367000371, 0.23097811092250353, 0.22917388025842633, 0.22750974873249397, 0.22595184504078383, 0.22447375265140995, 0.22305493903332002, 0.22167999736395755, 0.22033869080919199, 0.21902700752445223, 0.21774976967456577, 0.21652596348398259, 0.21539924723251769, 0.2144589630532476, 0.21388380414915942, 0.21403776638971933, 0.21569672465880785, 0.22063385222668927, 0.23330759034749138, 0.26636044311021162, 0.35973445947485211, 0.6133304883331735, 0.84293320518283887, 0.64949169250772332, 0.47762489998899005, 0.39018104993499375, 0.34324765117527672, 0.31534354567750561, 0.29727138561995792, 0.28476636218773543, 0.27565909721451287, 0.26875425519239537, 0.26334838743551431, 0.25900455947844164, 0.25543901321270002, 0.2524605037484296, 0.24993606136116117, 0.24777077074708856, 0.24589535237054949, 0.24425827156523608, 0.24282057273934268, 0.24155240715984688, 0.24043064357466309, 0.2394371889640706, 0.23855778576638301, 0.23778113553610949, 0.23709825059992795, 0.23650196789340117, 0.23598658023000385, 0.23554755413794851, 0.23518131272191295, 0.23488506837676135, 0.23465669460898683, 0.23449462935625959, 0.23439780445946684, 0.23436559761945891, 0.23438706434708367, 0.23445154630021228, 0.23455929117500041, 0.23471071981741101, 0.2349064384931453, 0.23514725656338245, 0.23543421010072935, 0.23576859218768764, 0.23615199089528996, 0.23658633626008435, 0.23707395798694608, 0.23761765613514144, 0.23822078773909366, 0.23888737323396211, 0.23962222778459832, 0.24043112427591484, 0.24132099698834472, 0.24230019810900749, 0.24337882359565993, 0.24456913108280087, 0.24588608135951065, 0.24734804778872641, 0.24897775696983071, 0.25080355231714141, 0.25286111549057289, 0.25519584784972932, 0.25786622075767929, 0.2609485765674161, 0.26454414967158962, 0.26878956776369889, 0.27387295563196834, 0.28005932674329248, 0.28773187842602371, 0.29746150030294788, 0.3101282703771126, 0.32714253241183872, 0.3508633561121316, 0.38541352936013018, 0.43824011604962093, 0.52249625444030101, 0.6552455370832434, 0.81491075743412023, 0.82564590307756081, 0.61519194642219599, 0.42475107093556452, 0.32214614122443347, 0.27109914507800098, 0.2448368590999089, 0.23064995862891743, 0.22267538753682298, 0.21807943033819818, 0.21541040627634617, 0.21388297494902489, 0.21305161767582376, 0.21265316611070939, 0.21252675631704676, 0.21257117113305948, 0.21272113987754837, 0.2129336804431215, 0.21317997250656676, 0.21344038448912547, 0.21370135525732428, 0.21395339763235677, 0.21418979841558378, 0.21440576230377303, 0.21459784709265062, 0.21476359757272306, 0.21490132325185324, 0.21500999066241228, 0.2150892209124996, 0.21513940211337185, 0.2151619491430129, 0.21515977634597824, 0.21513810293312643, 0.21510580589401865, 0.21507771046494301, 0.21507854527993939, 0.21514996628639779, 0.21536347873460301, 0.2158452526551832, 0.21682631152168114, 0.2187505991319586, 0.2225261066872305, 0.23016542368428242, 0.24661384090895566, 0.28565289910679059, 0.39009815693339794, 0.65972776386969711, 0.85333453543498561, 0.62599631462526262, 0.4564560701551964, 0.37423257289066753, 0.33118233918582168, 0.30606539184812503, 0.29007268040208056, 0.27918577154758273, 0.2713826906117795, 0.26555850819780041, 0.26106738293811604, 0.2575104761371137, 0.2546300602152653, 0.25225317929409702, 0.25026001706840229, 0.24856530302297586, 0.24710694285684764, 0.24583882410737937, 0.24472612518560341, 0.24374217465929782, 0.24286629828016534, 0.24208231147424505, 0.2413774432424812, 0.24074155428067415, 0.24016655942491377, 0.23964599433516529, 0.23917468552896601, 0.23874849549669827, 0.23836412308253865, 0.23801894507811247, 0.23771088897115547, 0.23743832960495043, 0.23720000451404466, 0.23699494415536906, 0.23682241431556877, 0.23668186875588246, 0.236572910730696, 0.23649526243809588, 0.23644874176854891, 0.23643324594010778], [0.23523589884628823, 0.23526537349461013, 0.23535401822183161, 0.23550250549176313, 0.23571199039797724, 0.2359841642992655, 0.23632133446186687, 0.23672653486737183, 0.23720367579219717, 0.23775774315464343, 0.23839506346487552, 0.23912365729047183, 0.23995371472805163, 0.24089824251949671, 0.24197395764766011, 0.24320254249059975, 0.24461244254960376, 0.24624149887465349, 0.24814090049334397, 0.25038129005706355, 0.25306250794295049, 0.25632973894113681, 0.26040146929889196, 0.26562047139528888, 0.27255275409110907, 0.28219472866054446, 0.29644960487640187, 0.31935944372609831, 0.36078755037997756, 0.44914492248953591, 0.66440881661889484, 0.77003060623117137, 0.37555886620938594, 0.25096374749621314, 0.22166828372413422, 0.21425522042051812, 0.21300560798860585, 0.21375701083547538, 0.21518646002762837, 0.21682247328012674, 0.21848818846350709, 0.22011922502043357, 0.22169696642274278, 0.22322204729697928, 0.22470322090842337, 0.22615254749773622, 0.22758332543002663, 0.22900926136980662, 0.23044421617849703, 0.23190222309940631, 0.2333976356480657, 0.2349453366016141, 0.23656097357835587, 0.2382612013537439, 0.2400639152574319, 0.24198845747345898, 0.24405576994928047, 0.24628845358917176, 0.24871067227146509, 0.25134781036344378, 0.25422575240914913, 0.25736960360537114, 0.26080161348698916, 0.26453801480106154, 0.26858447090134902, 0.27292988581760336, 0.27753854568782649, 0.28234102207002404, 0.28722505339537441, 0.2920287059968843, 0.29653924477768151, 0.3005017157606113, 0.30364037857329401, 0.30569309684052376, 0.30645380349426482, 0.30581298730073481, 0.30378378566885145, 0.30050413617297644, 0.29621320804075529, 0.2912094049372605, 0.28580288870849491, 0.28027528248005784, 0.27485413399500536, 0.2697033194374005, 0.26492593009081367, 0.26057443167429328, 0.25666340507688701, 0.25318172338048317, 0.2501025982121699, 0.24739106912607778, 0.24500914807953916, 0.24291908967133513, 0.241085292018134, 0.23947526327562094, 0.23805998783148671, 0.2368139301664369, 0.23571483675028371, 0.23474343902616507, 0.23388312068304792, 0.23311958591689466, 0.23244054840883419, 0.23183545026265884, 0.23129521391936561, 0.23081202656012836, 0.23037915468849549, 0.22999078577604562, 0.22964189363671281, 0.22932812429798677, 0.22904569940148153, 0.22879133449582795, 0.22856216992772929, 0.22835571236350924, 0.22816978526987652, 0.22800248694384606, 0.22785215490760324, 0.22771733567688737, 0.22759675907463334, 0.22748931639890413, 0.22739404186934431, 0.22731009687282497, 0.22723675660972506, 0.22717339881000648, 0.22711949424518205, 0.22707459881031281, 0.22703834699098921, 0.22701044656516617, 0.22699067441991491, 0.22697887338962397, 0.22697495004574478, 0.22697559330291817, 0.22697752391002085, 0.2269807443756168, 0.22698525888670057, 0.22699107331781285, 0.2269981952438479, 0.22700663395661638, 0.22701640048522503, 0.22702750762036222, 0.22703996994259251, 0.22705380385477633, 0.22706902761875389, 0.22708566139645611, 0.2271037272956028, 0.22712324942021433, 0.22714425392612894, 0.22716676908179384, 0.22719082533458967, 0.22721645538299495, 0.22724369425491933, 0.22727257939256196, 0.22730315074421181, 0.22733545086340554, 0.22736952501593732, 0.22740542129524033, 0.22744319074671712, 0.22748288750164619, 0.22752456892135806, 0.2275682957524407, 0.22761413229379615, 0.22766214657646813, 0.22771241055723557, 0.22776500032707275, 0.22781999633568537, 0.22787748363344962, 0.22793755213222819, 0.22800029688667384, 0.22806581839781367, 0.22813422294088362, 0.22820562291961513, 0.2282801372493925, 0.22835789177198365, 0.22843901970484626, 0.22852366212835776, 0.22861196851470095, 0.22870409730258881, 0.22880021652250471, 0.22890050447772325, 0.22900515048701439, 0.22911435569571009, 0.22922833396266248, 0.22934731283162241, 0.22947153459672867, 0.22960125747312113, 0.22973675688525905, 0.22987832688731438, 0.23002628173214126, 0.23018095760778534, 0.23034271456341554, 0.23051193864999345, 0.23068904430506493, 0.2308744770158859, 0.23106871630084275, 0.23127227905602912, 0.23148572332210007, 0.23170965253648393, 0.23194472034812405, 0.23219163608654367, 0.2324511709949722, 0.23272416535916715, 0.23301153669063115, 0.2333142891563505, 0.23363352448878988, 0.23397045466191715, 0.23432641668438561, 0.23470288994371297, 0.23510151664040296, 0.23552412598549738, 0.23597276300833944, 0.23644972304607315, 0.23695759327998786, 0.23749930307036624, 0.23807818535444975, 0.23869805205891567, 0.23936328740614479, 0.24007896425962363, 0.2408509903995304, 0.24168629405389461, 0.24259306144659018, 0.24358104403649344, 0.24466196024711015, 0.24585002697710026, 0.24716267188768401, 0.24862150140201802, 0.2502536365668116, 0.25209358804399923, 0.25418593767236536, 0.25658925466396304, 0.25938195073627895, 0.26267126931626666, 0.26660750869215527, 0.27140731720877564, 0.27739339902737981, 0.2850654070215205, 0.29523360613324395, 0.30928762185211423, 0.32977931910852887, 0.36180177928022683, 0.41655006461377242, 0.52069469667143309, 0.7272757242394241, 0.9209978126572067, 0.6150800833107839, 0.35800867424542721, 0.2674003699555218, 0.23502079601604967, 0.222314464587545, 0.2171206738745956, 0.21510295060681842, 0.21451381083414672, 0.21457720503335359, 0.21492180734112318, 0.21535954234920338, 0.21579097868791117, 0.21616193308722956, 0.21644242993120202, 0.21661610405687975, 0.21667481624131496, 0.21661610405688, 0.21644242993120202, 0.2161619330872295, 0.21579097868791053, 0.2153595423492036, 0.21492180734112226, 0.21457720503335379, 0.21451381083414675, 0.21510295060681767, 0.21712067387459269, 0.22231446458754836, 0.23502079601606113, 0.26740036995552779, 0.35800867424542793, 0.61508008331092201, 0.92099781265714808, 0.72727572423918541, 0.52069469667120272, 0.41655006461376903, 0.36180177928026086, 0.3297793191085337, 0.30928762185212122, 0.29523360613324073, 0.28506540702151628, 0.2773933990273777, 0.27140731720877198, 0.26660750869215838, 0.26267126931626383, 0.25938195073627873, 0.25658925466396487, 0.25418593767236364, 0.25209358804399928, 0.25025363656681304, 0.24862150140201822, 0.24716267188768423, 0.24585002697709987, 0.24466196024710973, 0.24358104403649386, 0.24259306144658999, 0.24168629405389544, 0.24085099039953095, 0.24007896425962313, 0.23936328740614521, 0.23869805205891564, 0.23807818535444919, 0.23749930307036593, 0.23695759327998817, 0.23644972304607342, 0.23597276300833964, 0.23552412598549796, 0.23510151664040316, 0.23470288994371225, 0.23432641668438522, 0.23397045466191752, 0.23363352448878996, 0.23331428915635016, 0.23301153669063135, 0.23272416535916707, 0.2324511709949717, 0.23219163608654311, 0.23194472034812347, 0.23170965253648401, 0.23148572332210002, 0.23127227905602948, 0.23106871630084269, 0.23087447701588618, 0.23068904430506482, 0.2305119386499932, 0.23034271456341521, 0.2301809576077857, 0.23002628173214121, 0.22987832688731411, 0.2297367568852591, 0.22960125747312146, 0.2294715345967292, 0.22934731283162238, 0.22922833396266243, 0.22911435569571012, 0.22900515048701392, 0.22890050447772331, 0.22880021652250512, 0.22870409730258859, 0.22861196851470061, 0.22852366212835759, 0.22843901970484634, 0.22835789177198379, 0.2282801372493927, 0.22820562291961485, 0.22813422294088315, 0.22806581839781365, 0.22800029688667395, 0.22793755213222816, 0.22787748363344937, 0.22781999633568537, 0.22776500032707306, 0.22771241055723576, 0.2276621465764678, 0.22761413229379598, 0.2275682957524402, 0.22752456892135789, 0.22748288750164633, 0.22744319074671723, 0.22740542129524008, 0.2273695250159371, 0.22733545086340534, 0.22730315074421162, 0.2272725793925624, 0.22724369425491914, 0.2272164553829954, 0.22719082533458998, 0.22716676908179392, 0.2271442539261288, 0.22712324942021461, 0.22710372729560341, 0.22708566139645592, 0.22706902761875433, 0.22705380385477636, 0.22703996994259254, 0.22702750762036239, 0.22701640048522495, 0.22700663395661635, 0.22699819524384798, 0.22699107331781251, 0.22698525888670074, 0.22698074437561705, 0.22697752391002121, 0.2269755933029183, 0.22697495004574414, 0.2269752716493493, 0.22697623657805793, 0.22697784518559433, 0.22698009806163466, 0.22698299603201597, 0.22698654015902658, 0.22699073174177239, 0.22699557231663192, 0.22700106365778883, 0.22700720777784192, 0.22701400692849663, 0.22702146360133074, 0.22702958052864125, 0.22703836068435693, 0.22704780728503141, 0.2270579237909022, 0.2270687139070211, 0.22708018158444665, 0.22709233102150664, 0.22710516666510985, 0.22711869321213118, 0.22713291561083668, 0.22714783906236513, 0.22716346902225748, 0.22717981120202563, 0.22719687157076088, 0.22721465635677029, 0.22723317204924939, 0.22725242539996696, 0.22727242342496742, 0.22729317340628533, 0.22731468289365672, 0.22733695970622511, 0.22736001193423003, 0.2273838479406777, 0.22740847636297018, 0.2274339061144969, 0.22746014638616607, 0.22748720664787425, 0.22751509664989575, 0.22754382642417431, 0.22757340628551995, 0.22760384683267101, 0.22763515894923037, 0.22766735380443781, 0.2277004428537785, 0.22773443783939523, 0.22776935079029076, 0.22780519402229779, 0.22784198013779253, 0.22787972202513479, 0.22791843285779792, 0.22795812609317548, 0.22799881547102754, 0.22804051501154482, 0.22808323901299457, 0.22812700204892666, 0.22817181896489161, 0.2282177048746572, 0.22826467515587184, 0.22831274544514787, 0.22836193163252658, 0.22841224985528275, 0.22846371649103966, 0.22851634815014238, 0.22857016166726438, 0.22862517409219299, 0.22868140267976922, 0.2287388648789267, 0.22879757832080752, 0.22885756080590397, 0.22891883029019983, 0.22898140487027419, 0.22904530276733981, 0.22911054231018754, 0.22917714191701585, 0.2292451200761339, 0.22931449532551948, 0.22938528623124083, 0.22945751136474227, 0.2295311892790188, 0.22960633848370807, 0.22968297741914107, 0.22976112442942923, 0.22984079773464755, 0.22992201540224105, 0.23000479531776052, 0.23008915515510128, 0.23017511234641491, 0.23026268405193212, 0.23035188712993979, 0.23044273810722934, 0.23053525315036119, 0.23062944803814805, 0.2307253381358324, 0.23082293837146464, 0.23092226321511275, 0.23102332666155428, 0.2311261422172268, 0.23123072289230021, 0.23133708119881349, 0.23144522915596757, 0.23155517830374089, 0.23166693972616736, 0.23178052408571848, 0.23189594167040456, 0.23201320245536866, 0.23213231618090116, 0.23225329244900708, 0.23237614084084232, 0.23250087105755313, 0.23262749308725023, 0.23275601740111942, 0.23288645518187986, 0.23301881858809817, 0.23315312105810979, 0.23328937765762267, 0.23342760547536842, 0.23356782407150237, 0.23371005598380817, 0.23385432729712219, 0.23400066828182164, 0.23414911410761632, 0.23429970563939395, 0.23445249032235013, 0.23460752316424105, 0.2347648678231905, 0.23492459781024636, 0.2354190114787468, 0.23593879216925759, 0.2364884773454535, 0.2370746607620571, 0.23770676369211119, 0.23839807121140497, 0.23916715042366493, 0.24003984349132426, 0.24105216349710923, 0.24225466714433699, 0.24371934065345782, 0.24555094183259532, 0.24790661475552822, 0.25103171587906425, 0.25532956542248986, 0.26150819214720439, 0.270920525368262, 0.28645797006268264, 0.31531568117234937, 0.37953455506040379, 0.56089830117483241, 0.78690812591473613, 0.36290278695195238, 0.23946643466315662, 0.21297531538940376, 0.20587393144838376, 0.20390221920693188, 0.20353998468170495, 0.20370727308454081, 0.20402521224587164, 0.20435099399000892, 0.20463009128665455, 0.20484314270229648, 0.20498510255785191, 0.2050565356360361, 0.20505983567971325, 0.20499755134547346, 0.20487164711644662, 0.20468318587549528, 0.20443220036488111, 0.20411764674134053, 0.20373739390496579, 0.20328823548457081, 0.20276593619153166, 0.20216535366597391, 0.20148072610897802, 0.20070631186500043, 0.19983776718441543, 0.19887508611905555, 0.19782893176353977, 0.19673463135283778, 0.19568446698034608, 0.19490689045677967, 0.19497777916330938, 0.19745069389842304, 0.2070416825393511, 0.24082569595315589, 0.37396045425061203, 0.78721263876060421, 0.71979558503801178, 0.47363737183146737, 0.36865430066330618, 0.31960611943021539, 0.29272471756438778, 0.27614613389611742, 0.26501467912839494, 0.25705232299857661, 0.2510706271547406, 0.24639627356126129, 0.24262201022372668, 0.2394880925269606, 0.23682139774146105, 0.23450214715868226, 0.23244475191451247, 0.23058630401547414, 0.22887941664697956, 0.22728765820628347, 0.22578261572657443, 0.2243420579707065, 0.22294893291064749, 0.22159112895588706, 0.22026212482125807, 0.2189629276805769, 0.21770618528741853, 0.21652433337924315, 0.21548575932093481, 0.21472788816241922, 0.21452837768350333, 0.21546879587873996, 0.21884369034439347, 0.22779406295536234, 0.25085283389428903, 0.31429373168345215, 0.4982300970551129, 0.81883867183985926, 0.73795838951466453, 0.52798070693322308, 0.41575846423902357, 0.35771077609994462, 0.32445523552965827, 0.30353292865093928, 0.28937265629303666, 0.27923467986956896, 0.27165105114995813, 0.26577734441098172, 0.26109873881059092, 0.25728599905606953, 0.2541200616789519, 0.25145025518313874, 0.24917001360143246, 0.24720216345904389, 0.24548968551846354, 0.24398972968327157, 0.24266962901254208, 0.24150417923821349, 0.24047374085445156, 0.23956288873395382, 0.2387594341507647, 0.23805370519792846, 0.23743800988968811, 0.23690623078990714, 0.23645351607519682, 0.23607604265941001, 0.23577083428728801, 0.23553562253954463, 0.23536874223714899, 0.23526905528130246, 0.23523589884628823, 0.23525799836822237, 0.23532438428821412, 0.23543532124201594, 0.23559125894198085, 0.23579284542528209, 0.2360409461567064, 0.23633666958287269, 0.23668139996814624, 0.23707683863014872, 0.2375250550551227, 0.23802854983792424, 0.2385903319953088, 0.23921401399548409, 0.23990392890315326, 0.24066527545862815, 0.24150429883695188, 0.24242851747895669, 0.24344701005976274, 0.24457078182254657, 0.2458132368524133, 0.24719079346490908, 0.24872369540086434, 0.2504370945937226, 0.25236251617319477, 0.25453987012091239, 0.25702025844369841, 0.25986996229925974, 0.26317621630999444, 0.26705575296316941, 0.27166775136133997, 0.2772339889635862, 0.28407114637633746, 0.29264433378240573, 0.30365908808087388, 0.31822593055965825, 0.33816722076309552, 0.36661143930975654, 0.40916335831186457, 0.4760479203461554, 0.58415137932312033, 0.74317823191784826, 0.86015525675525073, 0.73062074602002969, 0.50222894536577567, 0.36033410668708021, 0.28974057609913922, 0.25448010457709402, 0.23599172504764215, 0.2258460659376835, 0.22010086974378024, 0.21680183859377225, 0.21492205346388257, 0.21389333966409435, 0.21338718220808789, 0.2132064387102128, 0.21322903788035069, 0.21337736720862147, 0.21360096267028225, 0.21386637858355403, 0.21415107854393542, 0.21443965310900034, 0.21472142375798309, 0.21498889498206281, 0.21523673831169873, 0.21546111836729415, 0.21565924509387804, 0.21582908130180159, 0.21596916322678542, 0.21607851145149515, 0.21615662491939999, 0.21620356551446251, 0.2162201583924116, 0.21620835879767186, 0.21617187748258779, 0.21611722871757522, 0.21605549584752712, 0.21600535797836407, 0.21599841317590521, 0.21608885096512137, 0.21637174136667681, 0.21701931876295258, 0.2183572718940095, 0.22103689863293444, 0.22645871821266039, 0.23793126498699199, 0.26426160515701569, 0.33221487470171041, 0.52311516237335609, 0.84482948416296899, 0.72974994465797682, 0.51010678690043698, 0.40035599473145561, 0.345625674941477, 0.31506564978404228, 0.296242133496949, 0.28374246760990723, 0.27495139759068132, 0.26848577178402788, 0.26355806129031262, 0.25969215764587261, 0.25658572253463735, 0.25403878255088719, 0.25191448182598108, 0.25011642428074848, 0.24857503150337487, 0.24723902499678552, 0.24606993676562028, 0.2450384715865756, 0.24412203596791329, 0.2433030219812175, 0.24256759117756985, 0.24190479685072372, 0.24130593957910002, 0.24076408635922528, 0.24027370624050312, 0.23983039010990445, 0.23943063207812143, 0.23907165655986151, 0.23875127971883309, 0.23846779715541611, 0.23821989199609467, 0.2380065591872671, 0.23782704299237356, 0.2376807855678266, 0.23756738513626197, 0.23748656274550684, 0.23743813694154034, 0.23742200592618301], [0.235916458950577, 0.23594679854413089, 0.23603805109178047, 0.23619092875558337, 0.23640665533153227, 0.23668702390545762, 0.23703448257778559, 0.23745225394316541, 0.23794449672862669, 0.23851652177611507, 0.23917507998019938, 0.23992874776590339, 0.24078844767487692, 0.24176816002949172, 0.24288591054163, 0.24416516521473511, 0.24563684064048086, 0.24734226825638206, 0.24933768019199384, 0.25170120142856456, 0.25454412457489323, 0.25802981876458281, 0.26240693541880666, 0.26807099493112257, 0.2756863808381757, 0.28644826154010267, 0.30270416598878264, 0.32962627677236356, 0.380446873872608, 0.49492617875554734, 0.75794493156505982, 0.65008944990900053, 0.32086526674094629, 0.23897529956003888, 0.21902818476724439, 0.2141088755719775, 0.21364407306175554, 0.21466161505107093, 0.21617818680643999, 0.21783539572059818, 0.21949830088695688, 0.22111920914086805, 0.22268642841577416, 0.22420351108413042, 0.22568043348562183, 0.22712976965142553, 0.22856506279946343, 0.23000020094463719, 0.2314492639375777, 0.23292659637293406, 0.2344469906487808, 0.23602592466448732, 0.2376798264277023, 0.23942634950556019, 0.24128464593114224, 0.24327561968013578, 0.24542213473602056, 0.24774913627975303, 0.25028361995055315, 0.2530543501075419, 0.25609118125170854, 0.25942377620361573, 0.26307944316087123, 0.26707974302468018, 0.27143547654326111, 0.27613970276591721, 0.28115865638826326, 0.28642094345637525, 0.29180631653124917, 0.29713666633775265, 0.30217334129048451, 0.30662579479292418, 0.31017572996496234, 0.31251734131924136, 0.31340806394308657, 0.31271761158260208, 0.31045986923589203, 0.30679563283883643, 0.30200394182931872, 0.29643119293203374, 0.29043423646501426, 0.28433301520378118, 0.27838166641637552, 0.27275894571707476, 0.26757325494253403, 0.26287571143912336, 0.25867562070815536, 0.25495476119925425, 0.25167883670039209, 0.24880578218739607, 0.24629130404429442, 0.24409228031549668, 0.24216864217448864, 0.24048424861956677, 0.23900713461758191, 0.23770939582147232, 0.23656688225112443, 0.23555880848052976, 0.23466734404080936, 0.23387721937515915, 0.23317536500639588, 0.23255059099215952, 0.23199330769814275, 0.23149528569740449, 0.23104945108264643, 0.23064971194616624, 0.23029081179777247, 0.22996820598663703, 0.22967795761180254, 0.22941664985838731, 0.22918131213463133, 0.22896935778534286, 0.22877853151090505, 0.22860686492641299, 0.22845263895549792, 0.22831435197257166, 0.22819069279083246, 0.22808051774652935, 0.22798283125753321, 0.22789676934035341, 0.22782158565807675, 0.22775663974538696, 0.22770138711847668, 0.22765537102947242, 0.22761821566882653, 0.22758962065649702, 0.22756935669493866, 0.22755726228507311, 0.22755324143139655, 0.22755390059727229, 0.22755587895433668, 0.22755917908278586, 0.22756380528922815, 0.22756976361614123, 0.22757706185515988, 0.22758570956426127, 0.22759571808891199, 0.22760710058726949, 0.22761987205954748, 0.22763404938166537, 0.22764965134332862, 0.22766669869071085, 0.227685214173905, 0.22770522259938225, 0.22772675088765815, 0.22774982813645087, 0.22777448568960118, 0.22780075721207776, 0.22782867877141419, 0.22785828892595061, 0.22788962882032029, 0.22792274228861767, 0.2279576759657693, 0.22799447940765502, 0.22803320522058743, 0.22807390920081319, 0.22811665048476554, 0.22816149171087388, 0.22820849919379488, 0.22825774311204283, 0.22830929771006767, 0.22836324151594975, 0.22841965757599123, 0.22847863370761298, 0.22854026277212006, 0.22860464296904809, 0.22867187815399664, 0.2287420781820452, 0.22881535927909666, 0.22889184444372712, 0.22897166388242329, 0.22905495548141797, 0.22914186531869596, 0.22923254822016959, 0.22932716836450065, 0.22942589994158241, 0.22952892787033391, 0.22963644858214621, 0.22974867087716433, 0.22986581686151145, 0.2299881229746488, 0.23011584111732727, 0.23024923989203092, 0.23038860596951979, 0.23053424559703695, 0.23068648626607152, 0.23084567856027086, 0.23101219820728985, 0.2311864483621405, 0.23136886215407382, 0.23155990553434683, 0.23176008046856045, 0.23196992852488191, 0.23219003491859749, 0.23242103308447562, 0.23266360986184259, 0.23291851139352621, 0.23318654985981041, 0.23346861119297849, 0.23376566394828605, 0.23407876954465964, 0.23440909413514208, 0.2347579224256795, 0.23512667383458608, 0.23551692147858674, 0.23593041459056335, 0.23636910512718057, 0.23683517952230851, 0.23733109679943742, 0.23785963459353293, 0.23842394507845271, 0.23902762338980049, 0.23967479193137822, 0.2403702050367999, 0.24111937994321997, 0.24192876209287273, 0.24280593566499689, 0.24375989433981965, 0.24480139319582936, 0.24594341125738464, 0.24720176699303795, 0.24859594836139665, 0.2501502486815107, 0.25189534620525122, 0.25387054010858995, 0.2561269788452733, 0.25873242539279734, 0.26177846803960697, 0.26539174328987436, 0.26975197334644896, 0.27512204655387246, 0.28190037555735092, 0.29071670841481184, 0.30261809466700085, 0.31945585597523091, 0.34475915197462925, 0.3858931456892411, 0.45979753236105347, 0.60649619071936411, 0.86209133031506946, 0.83026782175078062, 0.46716843765495408, 0.30479622442956067, 0.24915948024243262, 0.22835473769615761, 0.21999169261914361, 0.21663330893882965, 0.21546449844845272, 0.21529472962036433, 0.21557529589059812, 0.21603609750127767, 0.21653732452360322, 0.21700381763678928, 0.2173940908080492, 0.21768496701987189, 0.21786370098138602, 0.21792392292462026, 0.21786370098138633, 0.21768496701987194, 0.21739409080804911, 0.21700381763678861, 0.21653732452360358, 0.21603609750127661, 0.21557529589059843, 0.2152947296203645, 0.21546449844845256, 0.21663330893882798, 0.21999169261914556, 0.22835473769616496, 0.24915948024243662, 0.30479622442956378, 0.46716843765505178, 0.83026782175051672, 0.86209133031483653, 0.60649619071903893, 0.45979753236104887, 0.38589314568928473, 0.34475915197463552, 0.31945585597523996, 0.30261809466699685, 0.29071670841480668, 0.2819003755573487, 0.27512204655386818, 0.26975197334645235, 0.26539174328987125, 0.26177846803960669, 0.25873242539279928, 0.2561269788452713, 0.25387054010858989, 0.25189534620525272, 0.25015024868151092, 0.24859594836139692, 0.24720176699303759, 0.24594341125738431, 0.24480139319582966, 0.2437598943398194, 0.24280593566499784, 0.24192876209287326, 0.2411193799432195, 0.24037020503680037, 0.23967479193137825, 0.23902762338979985, 0.23842394507845244, 0.23785963459353321, 0.23733109679943776, 0.23683517952230868, 0.23636910512718121, 0.23593041459056374, 0.23551692147858602, 0.23512667383458563, 0.2347579224256798, 0.23440909413514216, 0.23407876954465923, 0.2337656639482863, 0.23346861119297843, 0.23318654985980986, 0.23291851139352579, 0.23266360986184204, 0.23242103308447579, 0.23219003491859741, 0.23196992852488243, 0.23176008046856036, 0.2315599055343471, 0.23136886215407376, 0.23118644836214017, 0.23101219820728955, 0.23084567856027127, 0.23068648626607147, 0.23053424559703661, 0.23038860596951991, 0.2302492398920313, 0.23011584111732777, 0.2299881229746488, 0.22986581686151139, 0.22974867087716425, 0.22963644858214582, 0.22952892787033391, 0.22942589994158283, 0.2293271683645004, 0.22923254822016931, 0.22914186531869579, 0.22905495548141805, 0.22897166388242352, 0.22889184444372723, 0.22881535927909652, 0.22874207818204467, 0.22867187815399659, 0.22860464296904812, 0.22854026277212003, 0.2284786337076127, 0.2284196575759912, 0.22836324151594997, 0.2283092977100678, 0.22825774311204242, 0.22820849919379474, 0.22816149171087338, 0.22811665048476551, 0.22807390920081327, 0.22803320522058754, 0.22799447940765472, 0.2279576759657691, 0.22792274228861739, 0.2278896288203201, 0.22785828892595106, 0.22782867877141399, 0.22780075721207824, 0.22777448568960146, 0.22774982813645092, 0.22772675088765804, 0.2277052225993825, 0.22768521417390572, 0.2276666986907106, 0.22764965134332898, 0.22763404938166526, 0.22761987205954745, 0.22760710058726966, 0.22759571808891182, 0.22758570956426127, 0.22757706185516005, 0.22756976361614098, 0.22756380528922832, 0.22755917908278611, 0.22755587895433704, 0.22755390059727235, 0.22755324143139594, 0.2275535709886172, 0.22755455978127576, 0.22755620817240355, 0.22755851676719666, 0.22756148641323393, 0.22756511820078326, 0.22756941346318649, 0.22757437377733686, 0.22758000096424055, 0.22758629708965633, 0.22759326446482525, 0.227600905647275, 0.22760922344171264, 0.22761822090098538, 0.22762790132712812, 0.22763826827247985, 0.22764932554087708, 0.22766107718891301, 0.22767352752727205, 0.22768668112211846, 0.22770054279656171, 0.22771511763216859, 0.22773041097053473, 0.22774642841491086, 0.22776317583187164, 0.22778065935303046, 0.22779888537678716, 0.22781786057011696, 0.22783759187037683, 0.22785808648713593, 0.22787935190402228, 0.22790139588057312, 0.22792422645408492, 0.22794785194145256, 0.2279722809409967, 0.22799752233425422, 0.22802358528774025, 0.22805047925465355, 0.22807821397652908, 0.22810679948481569, 0.22813624610236369, 0.22816656444482439, 0.22819776542192335, 0.22822986023861319, 0.22826286039607277, 0.22829677769254847, 0.22833162422400968, 0.2283674123846004, 0.22840415486686966, 0.22844186466175351, 0.22848055505829301, 0.22852023964305312, 0.22856093229922703, 0.22860264720539208, 0.22864539883389431, 0.22868920194882661, 0.22873407160357959, 0.22878002313791684, 0.22882707217456272, 0.22887523461525183, 0.22892452663621257, 0.22897496468304968, 0.22902656546498235, 0.22907934594841228, 0.22913332334976891, 0.22918851512760846, 0.22924493897391496, 0.2293026128045797, 0.22936155474900505, 0.22942178313881373, 0.22948331649561504, 0.22954617351780188, 0.22961037306634738, 0.22967593414957493, 0.22974287590687636, 0.22981121759136147, 0.22988097855143275, 0.22995217821127012, 0.23002483605024091, 0.23009897158124043, 0.23017460432799641, 0.23025175380137117, 0.23033043947471352, 0.2304106807583452, 0.23049249697325416, 0.23057590732413044, 0.23066093087186743, 0.23074758650571273, 0.23083589291525675, 0.23092586856251421, 0.23101753165436131, 0.23111090011566712, 0.23120599156348859, 0.23130282328275892, 0.23140141220397417, 0.23150177488341839, 0.23160392748659295, 0.23170788577554596, 0.2318136651009165, 0.23192128039961588, 0.23203074619913538, 0.23214207662963993, 0.23225528544508145, 0.23237038605474511, 0.23248739156675735, 0.23260631484526204, 0.23272716858314246, 0.23284996539233144, 0.23297471791396901, 0.23310143895086455, 0.23323014162495595, 0.23336083956266845, 0.23349354711137082, 0.23362827959035484, 0.23376505358008454, 0.23390388725373529, 0.23404480075539444, 0.23418781662962168, 0.23433296030744349, 0.23448026065425323, 0.23462975058550087, 0.2347814677565418, 0.23493545533347754, 0.23509176285240777, 0.23525044717507787, 0.23541157354962311, 0.23557521678581028, 0.23574146255508402, 0.2362568659115668, 0.23680015131259977, 0.23737642933561592, 0.23799306070877271, 0.23866050561968788, 0.23939347527402011, 0.24021252439504687, 0.24114631501030281, 0.24223494617376262, 0.2435350466014306, 0.24512790351537464, 0.24713305045095796, 0.24973216002761417, 0.25321354677220465, 0.25806089768120938, 0.26514557555347085, 0.27618971972901546, 0.29504491983329389, 0.33191859781157862, 0.42071148803259906, 0.67840493315617789, 0.64666339925502136, 0.29927885058512466, 0.22705240330115037, 0.21022304242065126, 0.20556414280258689, 0.20435122508333245, 0.20424919225800342, 0.20450464481404626, 0.20484588059129571, 0.20516975003457699, 0.20543763912206456, 0.20563689542394903, 0.20576535680244942, 0.20582480552160651, 0.20581811007459339, 0.2057479653082912, 0.20561634579279378, 0.20542427999396895, 0.20517176581256708, 0.20485774500301249, 0.20448010115328724, 0.20403567233594472, 0.20352028995005797, 0.2029288801430971, 0.20225570615608907, 0.20149491149230225, 0.20064169264950504, 0.199694795633589, 0.1986618589721772, 0.19757110846366671, 0.19649797279451489, 0.19562919570209486, 0.19542975841850435, 0.19712532894772092, 0.20430592094137562, 0.22933192535895136, 0.32445531386531395, 0.67813439847319246, 0.80609240372112367, 0.52090985860635797, 0.38953770526495873, 0.33068344243230424, 0.29956565939647062, 0.28086261523490241, 0.26853879283110893, 0.25984863021584498, 0.25339353095722955, 0.24839577806174387, 0.24439196576146383, 0.24109014399366155, 0.23829772133833937, 0.23588262153369488, 0.23375119106944386, 0.23183505402067645, 0.23008299539413696, 0.2284558061899595, 0.22692296007868679, 0.2254604957587891, 0.22404977473725379, 0.22267698663789376, 0.22133345616961592, 0.22001703681642509, 0.21873526015904313, 0.21751165390667743, 0.21639821907784876, 0.21550063761079083, 0.21503148509135961, 0.21542956054827653, 0.21764896609302878, 0.22393021163887, 0.24011153170381405, 0.28346856627616596, 0.40966163053286686, 0.71917448171861609, 0.82273635002053191, 0.59346088881798675, 0.44821329890917722, 0.37514992548605841, 0.33494404555325308, 0.31045783556807793, 0.29429079032621974, 0.28293373716253506, 0.27456317440217515, 0.2681559504079789, 0.26310080298071797, 0.25901328333422297, 0.25564110962639558, 0.25281276917433848, 0.25040814468328265, 0.24834097702627836, 0.24654799204592173, 0.24498193367615853, 0.24360696909437232, 0.24239557971400372, 0.24132640896046645, 0.24038274158357076, 0.23955140927104199, 0.2388219900143001, 0.23818621383857214, 0.23763751622863577, 0.23717069923889192, 0.23678167263983779, 0.23646725580015715, 0.23622502674249046, 0.23605320883118655, 0.23595058842628841, 0.235916458950577, 0.23593920687684092, 0.23600754404699004, 0.23612175341395544, 0.23628231591307036, 0.23648992478316402, 0.23674550623645227, 0.2370502471449408, 0.23740563067361803, 0.23781348111536793, 0.23827601959308475, 0.23879593282287814, 0.2393764578221281, 0.24002148635765355, 0.24073569414714638, 0.24152470147191049, 0.24239527410466666, 0.24335557655703097, 0.24441549398299392, 0.24558704520214408, 0.24688491808889337, 0.24832717134161261, 0.24993616549077499, 0.25173981427912501, 0.25377329072334548, 0.25608138937357572, 0.25872185309694445, 0.26177014634785084, 0.26532644622516255, 0.26952611795292236, 0.27455581483471547, 0.28067893319778514, 0.28827715181100927, 0.29792065397888401, 0.31049155988702215, 0.32741020949274019, 0.35106793053650542, 0.3856828263165305, 0.43897991935040848, 0.5249039824105316, 0.6623035115939071, 0.82873959974780109, 0.83107541979481347, 0.60558887223148872, 0.41477786691002499, 0.31571222536026244, 0.26737666028414131, 0.2428201657153041, 0.22970017569575574, 0.22241622883033196, 0.218286340506059, 0.21594483738335449, 0.2146563143641366, 0.21400526125771735, 0.21374719210355614, 0.21373326677578292, 0.21387024393177895, 0.21409828899713723, 0.21437821536019314, 0.2146839090870595, 0.21499770268404081, 0.21530747920073845, 0.21560481999066494, 0.21588379792075665, 0.21614017925651513, 0.21637089050258529, 0.21657366171977946, 0.21674679174830061, 0.21688900256437402, 0.21699936511933793, 0.21707729097266232, 0.21712259554690738, 0.21713565265297716, 0.21711767975155735, 0.2170712252489623, 0.21700098387472139, 0.21691516486214957, 0.21682782265346476, 0.21676292059102989, 0.2167616320966802, 0.21689595109355742, 0.21729522026735412, 0.2182006997957123, 0.22008541216351207, 0.2239393336571695, 0.23201850075144304, 0.25006338723336347, 0.29478989091411312, 0.42023943571313882, 0.73275599978672212, 0.83476029261892815, 0.5829587011950067, 0.43440213206007838, 0.36331732697157049, 0.3255151350190354, 0.30309094763698263, 0.28861141979186561, 0.27864074114432058, 0.27142605021894139, 0.26599760740729117, 0.26178256173733438, 0.25842394357966075, 0.25568929894298348, 0.25342160422486576, 0.25151146960698945, 0.24988067554176158, 0.24847203786166525, 0.24724295608387181, 0.24616118393311207, 0.24520198367658511, 0.24434616656005634, 0.24357871485526458, 0.24288779415873035, 0.24226403274178737, 0.24169998689474304, 0.24118973788823006, 0.24072858343771011, 0.24031279795570074, 0.23993944354775648, 0.23960621896529696, 0.23931133739262675, 0.23905342653981135, 0.23883144637517068, 0.23864462118200958, 0.23849238361076633, 0.23837432911876452, 0.23829017971379765, 0.23823975629366445, 0.23822295913826652], [0.23641341055308118, 0.23644463723980891, 0.23653856502176343, 0.23669594873694763, 0.23691808607867498, 0.23720687964533688, 0.23756492932521359, 0.23799566129472371, 0.23850350293308215, 0.2390941171855489, 0.23977471600379358, 0.24055448150035671, 0.24144513706848045, 0.24246173175291866, 0.24362373441100096, 0.24495658808793333, 0.24649396473657872, 0.24828111429152211, 0.25037997506070286, 0.25287721522075352, 0.25589734220986621, 0.25962497075957641, 0.26434452153852483, 0.2705151924178415, 0.27892276870500404, 0.29101456201799719, 0.30972193991104835, 0.34177001598588713, 0.4052586054717463, 0.55592120897515518, 0.83137171700659807, 0.51994907717195005, 0.28500865019875582, 0.23086550890785745, 0.21725524507248362, 0.21411962918500793, 0.21423071255285836, 0.2154418589141755, 0.21701714606243103, 0.21868337568540619, 0.22033787817071854, 0.22194595249821969, 0.22350130407032276, 0.22500973710588792, 0.22648215231568652, 0.2279315055449804, 0.22937153364955504, 0.23081629733729181, 0.23228011231286083, 0.23377766987965354, 0.23532425329221759, 0.23693600532493372, 0.23863022525584474, 0.24042568277118279, 0.24234293780296112, 0.24440465106362647, 0.24663586010510447, 0.24906417884563634, 0.25171985236010996, 0.25463556015899169, 0.25784580668653317, 0.26138566479418107, 0.26528854775938693, 0.26958258874771135, 0.27428513326334131, 0.27939486275699077, 0.28488127572278027, 0.29067181388597141, 0.29663800079652358, 0.30258360933088407, 0.30823980564001507, 0.31327355548608649, 0.31731485708176571, 0.32000414909846325, 0.3210535000943352, 0.32030659609683498, 0.31777812861521132, 0.31365730623896865, 0.3082725995814663, 0.30202943863322085, 0.29534136789979265, 0.28857398035376519, 0.2820121701518174, 0.27585098740684511, 0.27020364283014042, 0.26511834252110056, 0.26059715259010269, 0.25661280674036513, 0.25312177568440264, 0.25007346396370833, 0.24741614379861132, 0.24510044813517232, 0.24308118480358323, 0.24131807312696779, 0.23977583442873782, 0.23842392586984543, 0.23723610144052998, 0.23618991092516878, 0.23526619976820853, 0.23444864267256008, 0.23372332559976761, 0.23307838036665604, 0.23250367034657907, 0.23199052298575112, 0.23153150373011488, 0.23112022577950153, 0.23075119039374309, 0.23041965300558392, 0.23012151099854292, 0.22985320960373248, 0.22961166291851892, 0.22939418753547638, 0.22919844668898404, 0.22902240318228967, 0.22886427965624459, 0.22872252500959939, 0.22859578598707819, 0.22848288312215034, 0.22838279036256426, 0.22829461782337754, 0.22821759720880988, 0.22815106952440892, 0.22809447476778949, 0.22804734334207283, 0.22800928898323797, 0.22798000303259064, 0.22795924991990463, 0.22794686375272155, 0.22794274593380071, 0.22794342101746695, 0.22794544715212964, 0.22794882699073382, 0.22795356496137018, 0.227959667277083, 0.22796714194965306, 0.22797599880742361, 0.22798624951723737, 0.22799790761058186, 0.2280109885140571, 0.22802550958429285, 0.22804149014746738, 0.22805895154360928, 0.22807791717585649, 0.22809841256492208, 0.22812046540897907, 0.22814410564926013, 0.22816936554165695, 0.22819627973466083, 0.22822488535400395, 0.22825522209439944, 0.22828733231883916, 0.22832126116591001, 0.22835705666567827, 0.22839476986471885, 0.22843445496092929, 0.22847616944882992, 0.22851997427612006, 0.22856593401233863, 0.22861411703054796, 0.22866459570306902, 0.22871744661238233, 0.22877275077842998, 0.22883059390367547, 0.22889106663741673, 0.22895426486101103, 0.22902028999582966, 0.22908924933596994, 0.2291612564079549, 0.22923643135991581, 0.22931490138300861, 0.2293968011681371, 0.22948227340141031, 0.22957146930215569, 0.22966454920776272, 0.22976168321015464, 0.22986305184926342, 0.22996884686957159, 0.23007927204653503, 0.23019454409061135, 0.23031489363762356, 0.23044056633536844, 0.2305718240377555, 0.23070894611933454, 0.23085223092493254, 0.23100199737126187, 0.23115858671990216, 0.23132236454402411, 0.23149372291472159, 0.23167308283696778, 0.23186089697012929, 0.23205765267382591, 0.2322638754269207, 0.232480132675847, 0.23270703817858529, 0.23294525692284573, 0.23319551071190531, 0.23345858452964552, 0.23373533381860701, 0.23402669283217831, 0.23433368425590267, 0.23465743033490513, 0.23499916579697258, 0.23536025292682886, 0.23574219923046932, 0.2361466782344071, 0.23657555410013761, 0.23703091090852671, 0.23751508769486088, 0.23803072061039438, 0.23858079397443668, 0.23916870249599842, 0.23979832763291478, 0.24047413198661038, 0.24120127689909082, 0.24198577016653319, 0.24283465321936903, 0.24375624055382339, 0.24476042910798221, 0.24585910238732558, 0.24706666460740653, 0.2484007557692722, 0.24988322240994484, 0.25154145576869225, 0.25341026781016429, 0.2555345709081866, 0.2579732860264784, 0.26080517727109981, 0.26413779493661615, 0.26812159989946371, 0.27297304951069701, 0.27901385424654479, 0.28674087934959569, 0.29695752735815995, 0.31103694862108938, 0.33149059239490181, 0.36330770447499966, 0.41740583709858708, 0.51980329979908191, 0.7245790380632966, 0.94239212885603418, 0.64936514618927532, 0.37135949372370786, 0.27265648751392413, 0.2377076993412649, 0.22411610982322497, 0.21861467129823531, 0.21651639563905631, 0.21594660954691594, 0.21607751599357722, 0.21651472162885146, 0.21705905821918448, 0.21760535953175131, 0.21809619730954055, 0.21849947456728586, 0.21879708001200793, 0.21897897645319669, 0.21904011998984782, 0.21897897645319689, 0.21879708001200809, 0.21849947456728577, 0.21809619730954005, 0.21760535953175164, 0.21705905821918337, 0.21651472162885183, 0.21607751599357741, 0.21594660954691619, 0.21651639563905531, 0.21861467129823664, 0.2241161098232293, 0.23770769934126706, 0.27265648751392385, 0.37135949372376775, 0.64936514618899999, 0.94239212885600443, 0.72457903806287094, 0.51980329979906947, 0.41740583709864543, 0.36330770447500893, 0.33149059239491274, 0.31103694862108472, 0.29695752735815395, 0.28674087934959303, 0.27901385424654002, 0.27297304951070062, 0.26812159989946011, 0.26413779493661588, 0.2608051772711017, 0.25797328602647629, 0.25553457090818665, 0.2534102678101659, 0.25154145576869241, 0.24988322240994507, 0.24840075576927179, 0.24706666460740614, 0.24585910238732597, 0.24476042910798201, 0.24375624055382436, 0.24283465321936959, 0.24198577016653272, 0.24120127689909132, 0.24047413198661038, 0.23979832763291412, 0.23916870249599811, 0.23858079397443693, 0.23803072061039474, 0.23751508769486113, 0.23703091090852735, 0.23657555410013795, 0.2361466782344063, 0.23574219923046885, 0.23536025292682922, 0.23499916579697258, 0.23465743033490472, 0.23433368425590295, 0.23402669283217822, 0.23373533381860645, 0.23345858452964499, 0.2331955107119047, 0.23294525692284587, 0.23270703817858523, 0.23248013267584744, 0.23226387542692059, 0.23205765267382619, 0.23186089697012924, 0.23167308283696747, 0.23149372291472126, 0.23132236454402452, 0.23115858671990214, 0.23100199737126151, 0.23085223092493271, 0.23070894611933498, 0.23057182403775603, 0.23044056633536841, 0.2303148936376235, 0.23019454409061138, 0.23007927204653464, 0.22996884686957161, 0.22986305184926389, 0.22976168321015439, 0.22966454920776241, 0.2295714693021555, 0.22948227340141036, 0.22939680116813729, 0.22931490138300878, 0.22923643135991567, 0.2291612564079544, 0.22908924933596991, 0.22902028999582968, 0.228954264861011, 0.22889106663741643, 0.22883059390367536, 0.22877275077843032, 0.22871744661238255, 0.22866459570306852, 0.22861411703054774, 0.22856593401233813, 0.22851997427612, 0.22847616944883012, 0.2284344549609294, 0.22839476986471866, 0.22835705666567813, 0.22832126116590981, 0.22828733231883899, 0.22825522209439983, 0.22822488535400368, 0.22819627973466128, 0.22816936554165729, 0.22814410564926024, 0.22812046540897901, 0.22809841256492233, 0.22807791717585718, 0.22805895154360914, 0.22804149014746772, 0.2280255095842928, 0.22801098851405716, 0.22799790761058195, 0.2279862495172372, 0.22797599880742359, 0.22796714194965326, 0.22795966727708272, 0.22795356496137037, 0.22794882699073407, 0.22794544715213, 0.22794342101746709, 0.22794274593380007, 0.22794308344917152, 0.22794409611944969, 0.22794578431717483, 0.22794814866339755, 0.22795119002790939, 0.22795490952956404, 0.22795930853668245, 0.22796438866755578, 0.22797015179103575, 0.22797660002720829, 0.22798373574816178, 0.22799156157883496, 0.22800008039795688, 0.22800929533906075, 0.22801920979158879, 0.22802982740207087, 0.22804115207538478, 0.22805318797608798, 0.22806593952982854, 0.22807941142481633, 0.22809360861337538, 0.22810853631354858, 0.22812420001076744, 0.22814060545958056, 0.22815775868543214, 0.22817566598649064, 0.22819433393551622, 0.22821376938177629, 0.22823397945298268, 0.2282549715572601, 0.22827675338513725, 0.22829933291154667, 0.22832271839783208, 0.22834691839375032, 0.22837194173946893, 0.2283977975675342, 0.22842449530481598, 0.22845204467440577, 0.22848045569746714, 0.22850973869502067, 0.22853990428964571, 0.22857096340710253, 0.22860292727783635, 0.2286358074383705, 0.22866961573255351, 0.22870436431265859, 0.2287400656403063, 0.2287767324871938, 0.22881437793561238, 0.22885301537872799, 0.22889265852060808, 0.22893332137596181, 0.22897501826957681, 0.22901776383542033, 0.22906157301538285, 0.2291064610576275, 0.22915244351452843, 0.2291995362401473, 0.22924775538723882, 0.22929711740373498, 0.22934763902868063, 0.22939933728758818, 0.22945222948716573, 0.22950633320939867, 0.22956166630492958, 0.22961824688571733, 0.22967609331692374, 0.22973522420800607, 0.22979565840296479, 0.2298574149697285, 0.22992051318863083, 0.22998497253995551, 0.23005081269052344, 0.23011805347929548, 0.23018671490197301, 0.23025681709458248, 0.23032838031604194, 0.23040142492970109, 0.23047597138387488, 0.23055204019138331, 0.23062965190813764, 0.23070882711081533, 0.23078958637368432, 0.23087195024467311, 0.23095593922076685, 0.23104157372288217, 0.23112887407035357, 0.23121786045523315, 0.23130855291660829, 0.23140097131521151, 0.23149513530860727, 0.23159106432731658, 0.23168877755227574, 0.23178829389408834, 0.23188963197460805, 0.23199281011142533, 0.23209784630596964, 0.23220475823596026, 0.23231356325307628, 0.23242427838681637, 0.23253692035560392, 0.23265150558636069, 0.23276805024385838, 0.23288657027134416, 0.23300708144406296, 0.23312959943748027, 0.23325413991220303, 0.23338071861776172, 0.23350935151765556, 0.23364005493827417, 0.23377284574455975, 0.23390774154550645, 0.23404476093291035, 0.23418392375703334, 0.23432525144319713, 0.23446876735362535, 0.23461449719923788, 0.23476246950647314, 0.2349127161446283, 0.23506527291966281, 0.23522018024087787, 0.23537748386743962, 0.23553723574225185, 0.2356994949213623, 0.235864328607752, 0.2360318132991909, 0.23620203606068305, 0.23637509593308759, 0.2369125021259029, 0.23748051840785467, 0.23808488803186723, 0.23873382099748067, 0.23943893239859695, 0.24021652654864062, 0.24108939175793184, 0.24208938158666299, 0.24326125902694906, 0.2446686536600908, 0.24640370470809253, 0.24860343071051197, 0.25147902698344721, 0.2553715919094659, 0.26086612660630276, 0.26904672355695397, 0.28213732094546456, 0.30537128132403218, 0.35363210245279114, 0.48035700484708443, 0.79817850310386551, 0.48175287578573778, 0.26285504210329719, 0.21941496328636029, 0.20851434445789954, 0.20547065942260792, 0.20477680697259665, 0.20485130311703623, 0.20516165966628033, 0.20551168700547359, 0.20582689053065129, 0.20608029212874937, 0.20626413606831509, 0.20637832206117104, 0.20642545688646394, 0.20640868793345202, 0.20633075570508169, 0.20619359249125899, 0.20599816536290028, 0.2057444244725487, 0.20543129271543842, 0.20505666981675652, 0.20461744507782514, 0.2041095298913625, 0.20352794225045362, 0.20286701136966592, 0.20212084006993278, 0.20128430536987629, 0.20035518356263704, 0.19933867055248389, 0.19825718137881326, 0.19717235874360239, 0.19623716635040347, 0.19582844716792094, 0.19691870326746849, 0.20226377319415387, 0.22091187915820792, 0.28920179301350213, 0.56138106797179677, 0.87356398273870417, 0.58108700511226052, 0.41511958183448744, 0.34353509702053436, 0.30715042826138006, 0.28589654744696541, 0.27217798971615653, 0.26265325467029121, 0.25566365171255295, 0.25030524733665532, 0.24604801229485634, 0.24256237056341284, 0.23963327609400584, 0.23711462454111823, 0.23490365293837712, 0.23292586707560281, 0.23112581228138324, 0.22946124426023612, 0.22789937304273589, 0.2264144432632163, 0.22498624995763294, 0.2235994058069842, 0.22224335193182795, 0.22091330435103249, 0.21961263644803827, 0.21835777092699837, 0.21718783744704145, 0.21618397523585486, 0.21550938044681656, 0.21549706718513914, 0.21685637020314202, 0.22120432443304497, 0.23259241100302749, 0.26248679356959526, 0.34756240829074114, 0.59010499612717748, 0.86371187755629608, 0.67675534316388974, 0.49028093139395229, 0.39666063069957075, 0.34726756997675506, 0.31825940079196674, 0.29963128685742418, 0.28681921794029269, 0.27752966635822757, 0.27051038412177136, 0.26502960785252194, 0.26063535190993026, 0.25703542027138382, 0.25403363395704998, 0.25149404346990045, 0.2493198927722074, 0.24744075111410463, 0.2458043639788664, 0.24437133363181196, 0.24311155251924943, 0.2420017542981604, 0.24102379609001337, 0.24016343041794902, 0.23940941214110092, 0.23875283917097431, 0.23818665947670273, 0.23770529862743647, 0.2373043764270403, 0.23698049079383357, 0.23673105359768951, 0.2365541677368469, 0.23644853798946838, 0.23641341055308118, 0.23643682347500847, 0.23650716215735501, 0.23662472935417275, 0.23679003976426138, 0.23700383553017298, 0.23726710863096376, 0.23758113091689817, 0.23794749283021607, 0.23836815222325167, 0.23884549515135545, 0.23938241112055414, 0.23998238605994021, 0.2406496173375495, 0.24138915654673848, 0.24220708770210905, 0.24311075110919489, 0.24410902681864702, 0.24521269670245405, 0.24643491149180893, 0.2477917996600133, 0.24930327048448772, 0.250994086624449, 0.25289531638571577, 0.25504632958244361, 0.25749758548451918, 0.26031459739779056, 0.26358368257364329, 0.26742048516856037, 0.27198291943197062, 0.27749136406547348, 0.28426113720541074, 0.2927565174948828, 0.30368406148838167, 0.31816063395905847, 0.33802957496441927, 0.36648094644012308, 0.40929732604435942, 0.47722079480550977, 0.58854686654200083, 0.75503965924969263, 0.87499147640229569, 0.72827031777467088, 0.49219059511350466, 0.35270407212304533, 0.28509152310999752, 0.25181057351698938, 0.23454929071142802, 0.2251800925604216, 0.21994607915858297, 0.2169979131997701, 0.21536863280159993, 0.21452538707098903, 0.2141612213803418, 0.2140926137202088, 0.21420637527775399, 0.2144308558697692, 0.21471969925753695, 0.2150423568754066, 0.21537837859038575, 0.21571388459083629, 0.21603933396687788, 0.21634808449257939, 0.21663544672641805, 0.21689805389410544, 0.2171334380887443, 0.21733974479974516, 0.21751554351703437, 0.21765970887314495, 0.21777135849970944, 0.21784984312241501, 0.21789479346135335, 0.21790623934652603, 0.21788483192298991, 0.21783222446746364, 0.21775170934247101, 0.21764928353588331, 0.21753545405491592, 0.21742836150295641, 0.21735933517193937, 0.21738311475835312, 0.21759745231276911, 0.21818262788064596, 0.21948609114254572, 0.2222177363947144, 0.2279436331907212, 0.24048357431336476, 0.27043113942211933, 0.35154981057148982, 0.58502662189177124, 0.88269502115059495, 0.67991390184331568, 0.48000243467123349, 0.38557882452419262, 0.33793320379003311, 0.31085115241164418, 0.29390942413620141, 0.28251609504679687, 0.27441961312055246, 0.26841309107816302, 0.26380137734682302, 0.2601600669404906, 0.25721739942143734, 0.25479234818345325, 0.25276027584069244, 0.25103294504214008, 0.24954639638632775, 0.24825333135044769, 0.24711817527496199, 0.2461137888036988, 0.2452192234572956, 0.24441815594826868, 0.24369777399434497, 0.24304796869014206, 0.24246073887335506, 0.24192974452345958, 0.24144996650921738, 0.24101744329039626, 0.24062906406229423, 0.2402824038822608, 0.239975590512467, 0.23970719566990561, 0.23947614548878585, 0.23928164652927003, 0.23912312477952363, 0.23900017590848566, 0.23891252561261009, 0.23885999931624191, 0.23884250077381478], [0.23688922409132013, 0.23692137575165367, 0.2370180934310307, 0.23718017778306033, 0.23740900588605635, 0.23770659809685502, 0.23807571773020042, 0.23852001050657037, 0.23904419408334826, 0.23965431272218579, 0.24035807901011008, 0.24116533475106858, 0.24208867864847899, 0.2431443325050959, 0.24435335604049591, 0.24574338308460761, 0.24735115710570166, 0.24922632620711105, 0.25143728434229151, 0.25408045451499423, 0.25729559735021773, 0.26129216700445074, 0.26639705362857491, 0.27314649522586565, 0.28247662167703286, 0.2961563470886393, 0.31789041432494985, 0.35656144048646937, 0.43735387272345877, 0.63600208967776595, 0.82884519872678697, 0.41784793398119047, 0.26164620084116041, 0.22544178091451406, 0.21618582324905358, 0.21433813316075317, 0.21487472223143297, 0.21622766917549127, 0.21784259367519249, 0.2195108490591329, 0.22115474946715488, 0.22274978288140865, 0.22429391025912587, 0.22579470982752364, 0.22726381079340102, 0.22871448100184585, 0.23016064071046702, 0.23161654375437107, 0.23309678059868047, 0.23461644236227841, 0.23619137033350476, 0.23783845583033902, 0.23957597397125074, 0.24142394240757004, 0.24340449672914352, 0.24554226948413724, 0.24786474915311407, 0.25040257723953879, 0.25318971289781922, 0.2562633510561606, 0.25966341682974892, 0.26343137158490099, 0.26760795319776876, 0.27222934367386947, 0.27732114192614599, 0.28288948872357439, 0.2889088765939905, 0.29530678267931115, 0.30194652236087638, 0.30861175852234946, 0.3149986320280227, 0.32072345113968281, 0.32535338285848042, 0.32846261417771339, 0.3297066987971044, 0.3288965823092318, 0.32604770546812079, 0.32138455578288455, 0.31529691399102189, 0.30826288194272455, 0.30076489696963943, 0.29322293672541611, 0.28595740491575367, 0.27918103103396175, 0.2730109574316561, 0.26749041885091829, 0.26261179740077328, 0.25833643087849534, 0.2546095246187301, 0.25137030414619993, 0.24855832274901724, 0.24611699230867071, 0.24399526760621862, 0.2421481876678522, 0.24053676136896132, 0.23912751344187549, 0.23789188484501586, 0.23680559981350857, 0.23584806004397915, 0.23500179492446671, 0.23425197838106224, 0.23358601282375474, 0.23299317556615226, 0.23246432088905739, 0.23199163033342796, 0.23156840407337179, 0.2311888868849277, 0.23084812303737268, 0.23054183525462654, 0.23026632365716854, 0.23001838127127039, 0.22979522327501029, 0.22959442764331239, 0.22941388526595893, 0.22925175795377792, 0.22910644302964789, 0.22897654343238558, 0.22886084245158139, 0.22875828236747867, 0.22866794639819979, 0.22858904346218759, 0.22852089535092421, 0.22846292597927662, 0.22841465244106038, 0.2283756776479928, 0.22834568437300914, 0.22832443055556248, 0.22831174575836391, 0.22830752869313567, 0.22830822008088944, 0.22831029515282514, 0.22831375663699216, 0.22831860908689805, 0.22832485889168339, 0.22833251429041959, 0.22834158539060301, 0.22835208419091529, 0.22836402460835234, 0.228377422509841, 0.22839229574847769, 0.22840866420454806, 0.22842654983151728, 0.22844597670717431, 0.22846697109019298, 0.22848956148233038, 0.22851377869657605, 0.2285396559315489, 0.22856722885250214, 0.22859653567931318, 0.2286276172818793, 0.22866051728339862, 0.22869528217202456, 0.22873196142147217, 0.22877060762118256, 0.22881127661672221, 0.2288540276611562, 0.22889892357820812, 0.22894603093810423, 0.22899542024707098, 0.2290471661515758, 0.22910134765848894, 0.22915804837247572, 0.22921735675205879, 0.22927936638593416, 0.2293441762913036, 0.2294118912361561, 0.22948262208765211, 0.22955648618898655, 0.229633607767388, 0.22971411837618605, 0.22979815737422862, 0.22988587244630876, 0.22997742016868628, 0.2300729666242822, 0.23017268807268274, 0.23027677168071992, 0.23038541632013615, 0.23049883343966004, 0.23061724801979971, 0.23074089961976091, 0.23087004352717358, 0.23100495202281432, 0.23114591577422006, 0.2312932453741301, 0.23144727304202517, 0.23160835450981959, 0.23177687111600878, 0.23195323213641525, 0.2321378773842365, 0.23233128011750892, 0.23253395029855925, 0.23274643825773411, 0.23296933882301424, 0.23320329598831452, 0.2334490082068531, 0.23370723441252572, 0.2339788008923816, 0.23426460915813535, 0.23456564499518479, 0.23488298890554324, 0.23521782820828366, 0.23557147112022145, 0.23594536321404633, 0.23634110674538442, 0.23676048346050838, 0.23720548165053879, 0.23767832841701494, 0.23818152837254178, 0.23871791033929274, 0.23929068405587853, 0.23990350949936454, 0.24056058223025165, 0.2412667392547812, 0.24202759138763652, 0.24284969016011024, 0.24374074020823092, 0.24470987217513801, 0.24576799705800129, 0.24692827153326374, 0.24820671654793849, 0.24962305069808491, 0.2512018294681157, 0.25297402775145944, 0.25497927741184045, 0.25726909387659641, 0.25991163233850156, 0.26299887415091028, 0.26665779325904337, 0.27106826950120716, 0.27649289871711275, 0.28332875435931065, 0.29220184145308098, 0.30414983462657114, 0.32100092536158797, 0.34622561907988852, 0.38703377707069003, 0.45995708644223232, 0.60446584682211368, 0.86528640645810362, 0.87055149018469835, 0.49131717431916638, 0.31358137747910469, 0.25297273275827808, 0.23049760519848847, 0.22152556179561969, 0.21795211396081149, 0.21673458672900392, 0.21659412489252397, 0.2169439551434823, 0.21749612651193073, 0.21810183407088929, 0.21868105705182814, 0.21918944771441934, 0.21960191439538354, 0.21990415247180417, 0.22008816745629511, 0.22014991700213199, 0.22008816745629534, 0.21990415247180434, 0.21960191439538351, 0.21918944771441876, 0.21868105705182844, 0.21810183407088815, 0.21749612651193118, 0.21694395514348261, 0.2165941248925245, 0.21673458672900342, 0.21795211396081249, 0.22152556179562241, 0.23049760519849047, 0.2529727327582782, 0.31358137747914244, 0.49131717431897481, 0.87055149018500078, 0.86528640645765564, 0.6044658468221048, 0.45995708644231093, 0.38703377707070286, 0.34622561907990268, 0.32100092536158209, 0.30414983462656459, 0.29220184145307754, 0.2833287543593051, 0.27649289871711713, 0.27106826950120294, 0.26665779325904287, 0.26299887415091244, 0.25991163233849918, 0.25726909387659658, 0.25497927741184218, 0.2529740277514595, 0.25120182946811592, 0.24962305069808466, 0.24820671654793813, 0.24692827153326427, 0.24576799705800101, 0.24470987217513901, 0.24374074020823147, 0.24284969016010982, 0.24202759138763691, 0.24126673925478118, 0.24056058223025104, 0.23990350949936431, 0.23929068405587894, 0.23871791033929315, 0.23818152837254192, 0.23767832841701556, 0.23720548165053909, 0.23676048346050757, 0.23634110674538389, 0.23594536321404672, 0.23557147112022148, 0.23521782820828313, 0.23488298890554346, 0.23456564499518473, 0.2342646091581348, 0.23397880089238107, 0.23370723441252508, 0.23344900820685313, 0.23320329598831452, 0.23296933882301468, 0.23274643825773397, 0.23253395029855958, 0.23233128011750886, 0.23213787738423616, 0.23195323213641494, 0.23177687111600923, 0.23160835450981954, 0.23144727304202486, 0.23129324537413032, 0.23114591577422047, 0.23100495202281482, 0.23087004352717361, 0.23074089961976077, 0.23061724801979969, 0.23049883343965955, 0.23038541632013623, 0.2302767716807203, 0.23017268807268249, 0.23007296662428178, 0.22997742016868605, 0.22988587244630884, 0.22979815737422879, 0.2297141183761861, 0.22963360776738781, 0.22955648618898611, 0.22948262208765205, 0.22941189123615616, 0.2293441762913036, 0.22927936638593388, 0.22921735675205873, 0.22915804837247594, 0.22910134765848905, 0.22904716615157536, 0.22899542024707081, 0.22894603093810378, 0.22889892357820804, 0.22885402766115631, 0.22881127661672232, 0.22877060762118237, 0.22873196142147201, 0.22869528217202428, 0.22866051728339848, 0.22862761728187983, 0.22859653567931301, 0.22856722885250258, 0.22853965593154926, 0.2285137786965761, 0.22848956148233024, 0.2284669710901932, 0.22844597670717501, 0.22842654983151708, 0.22840866420454847, 0.22839229574847758, 0.22837742250984097, 0.22836402460835242, 0.22835208419091507, 0.22834158539060295, 0.22833251429041973, 0.22832485889168305, 0.22831860908689816, 0.22831375663699238, 0.22831029515282544, 0.22830822008088958, 0.22830752869313495, 0.22830787435978234, 0.22830891148717414, 0.22831064045771113, 0.22831306190888589, 0.2283161767335255, 0.22831998608012935, 0.22832449135329597, 0.22832969421425212, 0.22833559658147418, 0.22834220063139865, 0.2283495087992303, 0.22835752377983701, 0.22836624852873974, 0.22837568626318341, 0.22838584046330185, 0.2283967148733631, 0.22840831350310128, 0.22842064062912476, 0.22843370079640948, 0.22844749881985729, 0.22846203978594198, 0.22847732905441198, 0.22849337226006466, 0.22851017531458562, 0.22852774440844234, 0.22854608601283563, 0.22856520688169515, 0.22858511405372914, 0.22860581485450338, 0.22862731689855667, 0.22864962809154582, 0.22867275663240746, 0.22869671101553246, 0.22872150003294403, 0.22874713277647754, 0.22877361863993914, 0.22880096732124808, 0.2288291888245414, 0.22885829346223846, 0.22888829185704873, 0.22891919494390464, 0.22895101397182444, 0.22898376050566666, 0.22901744642778135, 0.22905208393952772, 0.22908768556265235, 0.22912426414050244, 0.22916183283905647, 0.22920040514775403, 0.22923999488010136, 0.22928061617403525, 0.22932228349201289, 0.22936501162081246, 0.22940881567101212, 0.22945371107612553, 0.22949971359135915, 0.22954683929197575, 0.22959510457121088, 0.22964452613773928, 0.22969512101263612, 0.22974690652581284, 0.22979990031188979, 0.22985412030546948, 0.22990958473578327, 0.22996631212066487, 0.23002432125982952, 0.23008363122740971, 0.23014426136372973, 0.23020623126626788, 0.23026956077979388, 0.2303342699856358, 0.23040037919006023, 0.23046790891173763, 0.23053687986827628, 0.23060731296180662, 0.23067922926360881, 0.23075264999778772, 0.23082759652399074, 0.23090409031919679, 0.23098215295859509, 0.23106180609560387, 0.2311430714410774, 0.23122597074177503, 0.23131052575819772, 0.23139675824188596, 0.23148468991234356, 0.23157434243373831, 0.23166573739159527, 0.23175889626970816, 0.2318538404275631, 0.23195059107858249, 0.23204916926957653, 0.2321495958618276, 0.23225189151429615, 0.23235607666952476, 0.2324621715428499, 0.23257019611567803, 0.23268017013360795, 0.23279211311032244, 0.23290604433828246, 0.23302198290734327, 0.23313994773259131, 0.23325995759279297, 0.23338203118104464, 0.23350618716934265, 0.23363244428899899, 0.233760821429017, 0.23389133775473592, 0.23402401284929844, 0.23415886688073062, 0.23429592079768824, 0.23443519655718376, 0.23457671738794703, 0.23472050809334991, 0.23486659539821325, 0.23501500834414685, 0.23516577873850658, 0.23531894166246206, 0.23547453604414251, 0.23563260530333871, 0.23579319807477553, 0.2359563690176027, 0.23612217971938015, 0.2362906997036133, 0.23646200755068092, 0.23663619214296874, 0.23681335404602222, 0.23699360703878306, 0.23755428538811271, 0.2381485411437729, 0.23878281872564819, 0.2394662725518836, 0.24021180731024705, 0.24103751506385809, 0.24196870556397321, 0.24304086089465207, 0.24430409160808808, 0.24583013550744828, 0.24772385225889926, 0.25014305402980097, 0.25333466666771359, 0.2577050685169589, 0.26396801605201436, 0.27348759801372485, 0.28917963121271328, 0.31830625329217033, 0.38319012044765749, 0.56805638740740028, 0.81201989346784653, 0.36911756216954889, 0.2416679786245311, 0.21470985774643295, 0.20755623763974992, 0.20560046510160146, 0.20526535751392483, 0.20545975011474488, 0.20580306278173569, 0.20615298660738662, 0.20645595547004453, 0.20669358790913833, 0.20686174084574846, 0.20696180460521502, 0.20699694743881783, 0.20697047230573634, 0.20688510752992981, 0.20674271656315504, 0.20654419346727124, 0.20628943599785407, 0.20597734661595482, 0.2056058409423287, 0.20517186020618841, 0.20467139826231889, 0.20409957173539145, 0.20345079263305083, 0.2027191621882902, 0.20189932575327715, 0.20098828520768069, 0.19998923266440838, 0.1989197867208834, 0.19783025922051545, 0.19684618007921009, 0.19627419070980492, 0.19689075456088562, 0.2008307048337859, 0.21480081471048895, 0.26430237404873569, 0.46250646339727192, 0.88548805990824786, 0.65641642916998644, 0.44697414777380606, 0.3587828906851272, 0.31581400158361472, 0.29148607891189404, 0.27613204335068503, 0.26564842696420204, 0.2580541307563583, 0.25229255021350777, 0.24775462513082955, 0.24406684504000078, 0.24098828257831745, 0.23835683951108666, 0.2360594637310077, 0.2340148088861875, 0.23216271249773143, 0.23045759406665373, 0.22886421225731138, 0.22735491578510156, 0.22590790907434918, 0.22450629156761498, 0.22313780660886509, 0.22179541519170609, 0.22047906269611975, 0.21919945362497931, 0.2179855442723401, 0.21689940167715172, 0.21606656575387387, 0.21574119968026917, 0.21645531507386601, 0.21939007798740354, 0.22740009953830492, 0.24821163546842676, 0.30570351252325473, 0.47658334181737633, 0.8188048966082796, 0.77305074647177485, 0.54544361722935109, 0.42381706153672183, 0.36214874894669141, 0.32734764927854909, 0.30567968849199895, 0.29112179360665252, 0.28075459662272945, 0.27303067434245765, 0.26706717930332874, 0.2623293347161767, 0.25847692492111446, 0.25528456062632993, 0.25259779352953715, 0.25030774308361831, 0.24833579411969522, 0.24662402505540709, 0.24512902685469157, 0.2438177980968935, 0.24266495019960363, 0.24165076197622593, 0.2407597982894884, 0.23997991172632693, 0.23930150973986608, 0.23871700941934945, 0.23822042745370448, 0.23780706945203978, 0.23747329384513668, 0.23721633310557169, 0.23703416022924181, 0.23692539210636063, 0.23688922409132013, 0.23691333039783657, 0.2369857562643293, 0.23710682578330083, 0.23727709005322706, 0.23749734397104261, 0.23776865051913301, 0.23809237338616318, 0.23847021909498858, 0.23890429022678064, 0.23939715186063992, 0.23995191403609437, 0.24057233395233751, 0.2412629428271541, 0.24202920397030792, 0.24287771085380605, 0.24381643703767281, 0.24485505410937203, 0.24600533988002021, 0.24728170780907682, 0.24870190132945189, 0.25028791550987634, 0.25206723667869291, 0.25407453373628774, 0.25635400208349701, 0.258962668089735, 0.26197513634149988, 0.26549055312473518, 0.2696430596572495, 0.27461789356804417, 0.2806769158872921, 0.28820041026456283, 0.29775805095066682, 0.31023435074632899, 0.32706038154612421, 0.35066164037358866, 0.38535769274754017, 0.43917511983009039, 0.52695217901579683, 0.66974392150257489, 0.84504374217311362, 0.84008051631178482, 0.59867460342863743, 0.40659196852770513, 0.31029075756041891, 0.26415742293111633, 0.24099383110800018, 0.22874443921898574, 0.22202253470209757, 0.21827068888606332, 0.21619400818083162, 0.21509819170319802, 0.21459240773569452, 0.21444750945151164, 0.21452450916726801, 0.21473668759581763, 0.21502864775651376, 0.21536429877466268, 0.21571973615173173, 0.21607890231690463, 0.21643087532616734, 0.21676813748880161, 0.21708544841680061, 0.21737909929208427, 0.21764641267864221, 0.21788540389982858, 0.21809455138174605, 0.21827264303479502, 0.21841867864951667, 0.21853181741226618, 0.21861136699187692, 0.21865681778797708, 0.21866793448720648, 0.21864492921702791, 0.21858875980193423, 0.21850162909474116, 0.21838781870767063, 0.21825509556553149, 0.21811712933857524, 0.21799775293377707, 0.21793871067863352, 0.21801429866081021, 0.21836033891611228, 0.21923483594259091, 0.22115398922495016, 0.22522414854133621, 0.23404177320661654, 0.25446765980838237, 0.30745188295727155, 0.46306996817169732, 0.81527061628388309, 0.79510788145200961, 0.54222797217680097, 0.41443274412454939, 0.353180198409139, 0.31998656490944105, 0.29994933929821516, 0.28682543042748843, 0.27768333398670425, 0.27100499018158641, 0.26593967747103331, 0.26197934952390667, 0.25880449468058631, 0.25620542542389868, 0.25403956023040275, 0.25220701653899874, 0.25063604151920787, 0.24927398125420117, 0.2480814965299582, 0.24702875000917898, 0.24609282801679605, 0.24525595687153867, 0.24450424303328666, 0.24382676605305606, 0.24321491371260895, 0.24266188627494284, 0.24216232064679905, 0.24171200078293859, 0.24130763096992983, 0.24094665560491163, 0.2406271138967398, 0.24034752129320142, 0.24010677184329418, 0.23990405743760138, 0.23973880112863769, 0.23961060264646042, 0.23951919488146528, 0.23946441056848575, 0.23944615872089742], [0.23732403811283367, 0.23735716494339104, 0.23745682447815594, 0.23762386738435351, 0.23785975744386459, 0.23816664372912313, 0.23854746837858953, 0.23900611767041341, 0.23954762786373873, 0.24017846260207518, 0.24090688642952029, 0.24174347055979589, 0.24270178476219534, 0.24379935696865274, 0.24505902668592727, 0.24651089150669742, 0.24819517002539643, 0.25016652136511192, 0.25250075478706968, 0.25530560558706561, 0.25873872328943648, 0.26303908804062742, 0.26858490011883285, 0.27600735317718061, 0.2864325738054852, 0.30204904914573466, 0.32761271924548468, 0.37509111253854754, 0.48016453572861006, 0.73517597014292702, 0.72933016818566465, 0.34790875169246871, 0.24625285799833974, 0.22181948045033673, 0.21560469553418068, 0.21469288578578652, 0.21554185884415261, 0.21699558356075829, 0.21863420785924248, 0.22029823505130214, 0.22192931909986297, 0.22351089148151676, 0.2250442236327018, 0.22653825917610254, 0.22800518294135205, 0.22945851194676398, 0.23091234233585575, 0.23238114473430738, 0.23387982912066427, 0.23542394914567705, 0.23702998558635649, 0.23871568192507697, 0.24050042062918409, 0.24240563486838426, 0.24445525055835812, 0.24667614859668929, 0.24909862612780476, 0.25175681637653519, 0.25468899527575511, 0.25793765441632793, 0.26154914692761144, 0.26557260848304876, 0.27005771516224147, 0.2750506688440213, 0.2805876289786462, 0.28668471514874133, 0.29332384581936055, 0.30043431573695961, 0.30787147880523658, 0.31539642753307517, 0.32266389351048419, 0.32922847330086535, 0.33457920973320199, 0.33820668231705941, 0.3396943442541322, 0.33881099713981239, 0.33557279964056042, 0.33024923888028129, 0.32330811234096135, 0.31531920727769486, 0.30685063236014953, 0.29838850851878912, 0.29029488920965324, 0.28280169098581975, 0.27602848102900635, 0.27001051803546827, 0.26472708003250894, 0.26012489501066505, 0.25613516946817477, 0.25268475947917962, 0.24970280839543352, 0.24712423177448906, 0.24489118307199892, 0.24295332123643221, 0.24126742785889707, 0.23979671638466557, 0.23851003522860031, 0.23738107598747402, 0.23638764235143406, 0.23551100277807263, 0.23473533192586363, 0.23404723652145587, 0.23343535710478025, 0.23289003570788125, 0.23240303963286893, 0.23196733232083055, 0.23157688340964763, 0.23122651122995841, 0.23091175206908163, 0.23062875149250794, 0.23037417383778552, 0.23014512669060688, 0.22993909773047119, 0.22975390180909769, 0.22958763651458125, 0.22943864479262105, 0.22930548345570731, 0.22918689662267652, 0.22908179330362324, 0.22898922848612424, 0.22890838719420262, 0.22883857108636796, 0.22877918723741078, 0.22872973881365052, 0.22868981740571578, 0.22865909682879973, 0.22863732823946306, 0.22862433645195646, 0.22862001736688378, 0.2286207256072586, 0.22862285126319809, 0.22862639714125135, 0.22863136792601438, 0.22863777019069154, 0.22864561241193643, 0.22865490498904925, 0.22866566026760451, 0.22867789256761722, 0.22869161821637005, 0.22870685558604534, 0.22872362513632585, 0.22874194946216611, 0.22876185334692534, 0.22878336382113731, 0.22880651022715101, 0.22883132428996944, 0.22885784019459959, 0.22888609467029275, 0.22891612708207212, 0.22894797952998827, 0.22898169695661158, 0.22901732726327256, 0.2290549214356605, 0.22909453367942192, 0.22913622156647004, 0.22918004619278856, 0.22922607234858605, 0.22927436870175205, 0.22932500799563826, 0.22937806726232085, 0.22943362805258921, 0.22949177668405221, 0.22955260450888593, 0.22961620820290832, 0.22968269007785014, 0.22975215841888036, 0.22982472784967717, 0.22990051972757566, 0.22997966257162561, 0.23006229252668961, 0.23014855386708499, 0.23023859954368348, 0.23033259177884158, 0.23043070271406416, 0.23053311511591201, 0.23064002314634161, 0.23075163320447364, 0.23086816484767061, 0.2309898518008707, 0.23111694306432096, 0.23124970413124535, 0.2313884183286164, 0.23153338829607217, 0.23168493762024295, 0.23184341264431052, 0.23200918447567426, 0.23218265121815904, 0.23236424045942611, 0.23255441204926136, 0.23275366121038232, 0.23296252203053083, 0.23318157139315973, 0.23341143341432916, 0.23365278446585863, 0.23390635887986896, 0.2341729554482842, 0.23445344485335329, 0.23474877819302004, 0.23505999679917686, 0.23538824358943658, 0.23573477624616021, 0.23610098258318771, 0.23648839854496073, 0.23689872938964329, 0.2373338747445998, 0.23779595839841816, 0.23828736392146457, 0.23881077750419075, 0.23936923979321886, 0.23996620902326651, 0.24060563843570132, 0.24129207190924645, 0.24203076300219611, 0.24282782435966174, 0.24369041688218562, 0.24462699149509323, 0.24564760127399296, 0.24676430879977956, 0.24799172407961081, 0.24934772400527394, 0.25085442810438607, 0.25253954223372022, 0.25443824033126877, 0.2565958492080701, 0.25907175934117382, 0.26194525544026387, 0.26532444002539068, 0.26936030347915541, 0.2742696775285739, 0.28037418213741516, 0.28816940235506761, 0.29845453272798012, 0.31259124034453617, 0.33306073307220663, 0.36477122172335408, 0.4184187876513637, 0.51950263978309896, 0.72311196295862801, 0.9648412213058003, 0.68852467817061636, 0.38697789084281892, 0.27871939341298113, 0.24066625845557346, 0.22595829448472221, 0.2200311808333234, 0.21778407794594476, 0.21719043982444305, 0.21735968465504399, 0.2178688613858169, 0.21850475580844853, 0.21915480333199427, 0.21975740390064899, 0.22027790900537286, 0.22069645809129643, 0.22100159663590208, 0.22118685853192574, 0.22124894908078252, 0.22118685853192596, 0.22100159663590221, 0.22069645809129643, 0.22027790900537222, 0.21975740390064924, 0.21915480333199311, 0.21850475580844891, 0.21786886138581718, 0.21735968465504479, 0.217190439824443, 0.21778407794594531, 0.22003118083332487, 0.22595829448472302, 0.2406662584555728, 0.27871939341300384, 0.38697789084269796, 0.6885246781710187, 0.96484122130567929, 0.72311196295860181, 0.51950263978321198, 0.41841878765138013, 0.36477122172337162, 0.33306073307219974, 0.31259124034452751, 0.29845453272797617, 0.28816940235506117, 0.28037418213741988, 0.27426967752856918, 0.26936030347915502, 0.26532444002539296, 0.26194525544026126, 0.25907175934117394, 0.25659584920807194, 0.25443824033126877, 0.25253954223372055, 0.25085442810438585, 0.24934772400527361, 0.2479917240796114, 0.2467643087997794, 0.24564760127399399, 0.24462699149509382, 0.24369041688218507, 0.2428278243596621, 0.24203076300219609, 0.24129207190924587, 0.24060563843570099, 0.23996620902326679, 0.23936923979321922, 0.23881077750419089, 0.23828736392146532, 0.23779595839841841, 0.23733387474459894, 0.23689872938964282, 0.2364883985449612, 0.23610098258318779, 0.23573477624615968, 0.23538824358943686, 0.23505999679917686, 0.23474877819301948, 0.23445344485335273, 0.23417295544828351, 0.23390635887986908, 0.23365278446585863, 0.23341143341432966, 0.23318157139315965, 0.23296252203053114, 0.23275366121038221, 0.23255441204926103, 0.23236424045942577, 0.23218265121815954, 0.23200918447567423, 0.23184341264431024, 0.23168493762024306, 0.23153338829607256, 0.23138841832861692, 0.23124970413124535, 0.2311169430643209, 0.23098985180087067, 0.23086816484767031, 0.23075163320447387, 0.23064002314634202, 0.23053311511591176, 0.23043070271406385, 0.23033259177884136, 0.23023859954368356, 0.23014855386708516, 0.23006229252668972, 0.2299796625716255, 0.22990051972757514, 0.22982472784967717, 0.22975215841888039, 0.22968269007785005, 0.22961620820290801, 0.22955260450888595, 0.22949177668405249, 0.22943362805258938, 0.22937806726232046, 0.22932500799563821, 0.2292743687017515, 0.22922607234858597, 0.22918004619278856, 0.22913622156647009, 0.22909453367942165, 0.22905492143566042, 0.22901732726327229, 0.22898169695661139, 0.22894797952998874, 0.22891612708207185, 0.22888609467029319, 0.22885784019459995, 0.22883132428996947, 0.22880651022715087, 0.22878336382113754, 0.228761853346926, 0.22874194946216592, 0.2287236251363263, 0.22870685558604523, 0.2286916182163701, 0.22867789256761734, 0.22866566026760438, 0.22865490498904917, 0.22864561241193659, 0.22863777019069118, 0.22863136792601446, 0.22862639714125157, 0.22862285126319842, 0.22862072560725871, 0.22862001736688314, 0.22862037145904041, 0.22862143386642048, 0.22862320498180255, 0.2286256854599851, 0.22862887621804129, 0.22863277843567564, 0.22863739355567284, 0.22864272328445703, 0.22864876959274533, 0.22865553471629835, 0.22866302115677256, 0.22867123168266437, 0.22868016933035618, 0.22868983740524712, 0.22870023948298446, 0.22871137941078057, 0.2287232613088222, 0.22873588957176211, 0.22874926887030123, 0.22876340415284169, 0.22877830064723426, 0.22879396386258799, 0.22881039959115779, 0.22882761391030326, 0.22884561318450886, 0.22886440406746761, 0.22888399350421687, 0.22890438873333369, 0.2289255972891675, 0.22894762700411639, 0.22897048601094006, 0.22899418274509672, 0.22901872594710196, 0.22904412466489693, 0.22907038825622855, 0.22909752639101508, 0.22912554905370602, 0.22915446654561128, 0.22918428948720074, 0.22921502882035547, 0.22924669581055471, 0.22927930204900249, 0.22931285945465546, 0.22934738027615986, 0.22938287709366414, 0.22941936282050529, 0.22945685070474098, 0.22949535433051207, 0.22953488761921675, 0.22957546483047453, 0.22961710056286155, 0.22965980975438707, 0.22970360768269588, 0.22974850996496446, 0.22979453255747082, 0.22984169175480434, 0.22989000418869729, 0.22993948682643281, 0.22999015696881958, 0.23004203224768505, 0.23009513062286444, 0.23014947037865216, 0.23020507011967822, 0.23026194876618536, 0.23032012554866327, 0.23037962000181708, 0.23044045195782831, 0.23050264153888728, 0.23056620914895365, 0.23063117546473114, 0.23069756142581777, 0.23076538822401491, 0.23083467729177537, 0.23090545028977363, 0.23097772909358857, 0.23105153577949536, 0.23112689260937491, 0.23120382201474649, 0.23128234657995564, 0.23136248902454565, 0.23144427218487107, 0.23152771899501276, 0.23161285246707644, 0.2316996956709958, 0.23178827171394425, 0.23187860371953842, 0.23197071480699738, 0.23206462807049524, 0.23216036655895034, 0.23225795325657181, 0.23235741106449315, 0.23245876278391131, 0.23256203110118664, 0.23266723857542965, 0.23277440762918708, 0.23288356054288351, 0.23299471945382128, 0.23310790636057582, 0.2332231431337688, 0.23334045153431776, 0.23345985324035795, 0.23358136988421541, 0.2337050231009149, 0.23383083458991283, 0.23395882619189118, 0.23408901998265735, 0.23422143838641227, 0.23435610431084763, 0.23449304130680307, 0.23463227375546591, 0.2347738270863873, 0.2349177280298704, 0.23506400490765361, 0.23521268796612715, 0.23536380975673771, 0.23551740556861528, 0.23567351391893462, 0.23583217710698598, 0.23599344183846641, 0.2361573599270802, 0.23632398908115479, 0.23649339378370302, 0.23666564627509523, 0.23684082764840542, 0.23701902906842429, 0.23720035312646442, 0.23738491534427375, 0.23757284584184502, 0.23815840740716737, 0.23878079880284486, 0.23944724696735231, 0.24016796457998812, 0.24095730826349956, 0.2418353941607074, 0.24283040556713856, 0.24398199176994562, 0.24534646073477456, 0.24700504848750954, 0.24907770763636339, 0.25174730489283514, 0.25530463403582615, 0.26023810862307412, 0.26742813555910083, 0.27861540100441612, 0.29769539943223788, 0.33501017789648829, 0.42512194841896828, 0.6914161489897398, 0.668466734025573, 0.30346567139232394, 0.22898344833708842, 0.21180501628686155, 0.20708213181236551, 0.20586637112512912, 0.20577693198806646, 0.20604898905666238, 0.20640795697994491, 0.2067502740251104, 0.20703767498612449, 0.20725808317807895, 0.20740996791755303, 0.20749575016875449, 0.20751893992540946, 0.20748288811041904, 0.2073902576098211, 0.2072428168996634, 0.20704137474889425, 0.20678577149721766, 0.20647488819434315, 0.20610665804712941, 0.20567807842611571, 0.20518523340533887, 0.20462335219664643, 0.20398695532255387, 0.20327019128453852, 0.20246756938763394, 0.20157551030516074, 0.20059560747172775, 0.19954157163068886, 0.19845444523660086, 0.19743745697179743, 0.19674102936102525, 0.19698837469933395, 0.19984565310598501, 0.21033586293317671, 0.2465391306020894, 0.38757985774414366, 0.82187070735936874, 0.74763496495403547, 0.4876987437982106, 0.37733049019645903, 0.32591526820063293, 0.29779670882469594, 0.28048495520781236, 0.26887853284231644, 0.2605878367123865, 0.25436782266946611, 0.24951388810541825, 0.24560028917973561, 0.24235574637758772, 0.23959961744556252, 0.2372070363809336, 0.23508885758936368, 0.23317960554980408, 0.23142997109865773, 0.22980200991071334, 0.22826602522597381, 0.22679856660512671, 0.22538124304137364, 0.22400023306666972, 0.22264654164870959, 0.22131726644155403, 0.22001848929160928, 0.21877109210074644, 0.2176222395132317, 0.21666853537435488, 0.21610476150120239, 0.21633274669520713, 0.2182238536550202, 0.2238155358069647, 0.23839088754539842, 0.2775600517379882, 0.39281747795945554, 0.70000318078609625, 0.85988593094486632, 0.61855512630180209, 0.45913961301273748, 0.38060938405513811, 0.3381764787887806, 0.31265932150245734, 0.29595985176988115, 0.28430333379366013, 0.27575294150047297, 0.26923228637098517, 0.26410306999577959, 0.2599662242934126, 0.2565611550144995, 0.25371143211146419, 0.25129394064664767, 0.24922055600194878, 0.24742683089840428, 0.24586477313992144, 0.2444980973057824, 0.24329902073772341, 0.24224605099474611, 0.24132242610858698, 0.24051499462313156, 0.23981339826281975, 0.23920946707995755, 0.23869676675261348, 0.23827025704223079, 0.23792603321804082, 0.23766113089389532, 0.23747338067240664, 0.23736130318047841, 0.23732403811283367, 0.23734887542239516, 0.23742350200079623, 0.2375482653236056, 0.23772375638972609, 0.23795082795276892, 0.23823062091804287, 0.23856459984912898, 0.23895459890589379, 0.23940288000825605, 0.23991220562482821, 0.24048592937410809, 0.24112810866955131, 0.24184364503892569, 0.24263845964661351, 0.24351971415352644, 0.24449609066972514, 0.24557814964758057, 0.24677879182087764, 0.24811386078317194, 0.24960293818134216, 0.25127040642566389, 0.25314688857885831, 0.25527122878696851, 0.25769326127427555, 0.26047775237403531, 0.26371012536904687, 0.26750495991063644, 0.27201892454490267, 0.27747100242124229, 0.28417511256700811, 0.29259457590507182, 0.30343665111097878, 0.31782383507281203, 0.33761897679217839, 0.36607105587726113, 0.40913771996110343, 0.47809015048420228, 0.59276099815014793, 0.76761653209665803, 0.89254436881350685, 0.72894465185406465, 0.48460139592937074, 0.34666543398021665, 0.28138206082863165, 0.24967885884359975, 0.23340128701821553, 0.22465589703262964, 0.21983294237355694, 0.21716710613997134, 0.21573961508031128, 0.21504606753415614, 0.21479688987768322, 0.21481954323923658, 0.21500800070716952, 0.21529541872279767, 0.21563875315285047, 0.21600979381304841, 0.21638977913813695, 0.21676607455087044, 0.21713007546163943, 0.21747585596924496, 0.21779928223942374, 0.21809742159044129, 0.21836814352215603, 0.21860984787233442, 0.21882127917562968, 0.21900140142535982, 0.2191493174548427, 0.21926422430747211, 0.21934540176613018, 0.21939223687763038, 0.21940429409456544, 0.21938145024743472, 0.21932412863368941, 0.21923369177600632, 0.21911309662265943, 0.21896799615082199, 0.2188086218302196, 0.21865307442120605, 0.21853324497794077, 0.21850585152129162, 0.21867391267842076, 0.21923076038232792, 0.22055616750005122, 0.22344339403506636, 0.22969023337436884, 0.24383508365001053, 0.27903755938932506, 0.37932322984012268, 0.66790980233755182, 0.89147942427620819, 0.6280570078374591, 0.45307060209241357, 0.37242303372487406, 0.330974386508402, 0.30694953257986263, 0.29167657245126399, 0.2812721596608494, 0.27380047769145832, 0.26820888894242512, 0.26388371393571264, 0.26044646599737881, 0.25765270776606847, 0.25533843505325593, 0.25339004303160906, 0.25172669700421679, 0.25028956151059362, 0.24903498756483411, 0.24793007093192423, 0.24694967773577578, 0.24607440450292453, 0.24528914850484942, 0.24458208570964576, 0.24394392641931034, 0.24336736344526119, 0.24284665590999291, 0.24237730997649282, 0.24195582981031269, 0.241579520152681, 0.24124632742014646, 0.2409547101137704, 0.24070353206634532, 0.24049197402982975, 0.2403194605343501, 0.2401855999837868, 0.24009013669188811, 0.24003291407752197, 0.24001384858088826], [0.23773429300835797, 0.23776843483566529, 0.23787115687764537, 0.23804336342198221, 0.23828661127557171, 0.23860318776322462, 0.23899622737776957, 0.23946987562941405, 0.24002951286563839, 0.24068205682788368, 0.24143637149147024, 0.24230382293063163, 0.24329904325791032, 0.24444099568740657, 0.24575448546689244, 0.24727234721659291, 0.24903868588487077, 0.25111380773450243, 0.25358195327635813, 0.25656385420524158, 0.26023796543816324, 0.26487811269410938, 0.27092413262452636, 0.27912379947060734, 0.29084297817206745, 0.30881841651010067, 0.33924272471006095, 0.39852879578836448, 0.53756278718819805, 0.83219617141603197, 0.58764109108476426, 0.30248080775459368, 0.23604655819633039, 0.2194382353850072, 0.21537282206771663, 0.21514659275813408, 0.21622620342735099, 0.21775157985818497, 0.21940332504594745, 0.22105963949476548, 0.2226772747687138, 0.22424592619276104, 0.22576948587268716, 0.22725798079265147, 0.2287240462850598, 0.23018142401481823, 0.23164440072920769, 0.23312770023735471, 0.23464660345077304, 0.2362171918056534, 0.23785666661584792, 0.23958372463214406, 0.2414189832780754, 0.24338545431853661, 0.24550906470135217, 0.24781921836013038, 0.25034938163884962, 0.25313765490086254, 0.25622725921338296, 0.25966681296366828, 0.26351018971957652, 0.26781562481198079, 0.27264356461093753, 0.27805252932684527, 0.28409201400207995, 0.29079126735796851, 0.29814285135825014, 0.30608052831431054, 0.31445270830382327, 0.32299581491978241, 0.33131632331759803, 0.33889439028827917, 0.34512264137972049, 0.34938676649296063, 0.35117865415456923, 0.35021299285886087, 0.34650636717713146, 0.34038520639837627, 0.33241595242928923, 0.32328335861811996, 0.31366135665642997, 0.30411583366264172, 0.29505706113145291, 0.28673711597441115, 0.27927551795476047, 0.27269553528716112, 0.26695906839783012, 0.26199438516360907, 0.25771552498796657, 0.25403450696668473, 0.25086820789771558, 0.24814167963826356, 0.24578927981093987, 0.24375456854623662, 0.2419895817217935, 0.2404538471052676, 0.23911334926712211, 0.23793954958012908, 0.23690850894607143, 0.23600012807324117, 0.23519750296351244, 0.23448638520797419, 0.23385473370625809, 0.23329234412003097, 0.23279054336360938, 0.23234193795501962, 0.23194020669041163, 0.23157992966073768, 0.23125644701475839, 0.23096574206049408, 0.2307043442932129, 0.23046924876078323, 0.2302578488504767, 0.23006788012896934, 0.22989737331120624, 0.22974461479302274, 0.22960811347298832, 0.22948657282409318, 0.22937886736655252, 0.22928402284787799, 0.22920119956257617, 0.22912967834709161, 0.22906884887047918, 0.22901819991144737, 0.22897731137087177, 0.22894584781800756, 0.22892355341041656, 0.22891024806370927, 0.22890582477890153, 0.22890655022737735, 0.22890872753451838, 0.22891235958764869, 0.22891745120625562, 0.22892400915295247, 0.22893204214888391, 0.22894156089365453, 0.22895257808985897, 0.22896510847232548, 0.22897916884220285, 0.22899477810604091, 0.22901195732003718, 0.22903072973966043, 0.22905112087485355, 0.22907315855110261, 0.22909687297662001, 0.2291222968159847, 0.22914946527056879, 0.22917841616614862, 0.22920919004811979, 0.22924183028477887, 0.22927638317920659, 0.22931289809029448, 0.2293514275635552, 0.22939202747239459, 0.22943475717059689, 0.22947967965684835, 0.2295268617522071, 0.22957637429152075, 0.22962829232988005, 0.22968269536532723, 0.22973966757914274, 0.22979929809518243, 0.22986168125988474, 0.22992691694473544, 0.22999511087317892, 0.23006637497416396, 0.23014082776476202, 0.23021859476455778, 0.23029980894483074, 0.23038461121587026, 0.23047315095616658, 0.23056558658766418, 0.23066208620175738, 0.23076282824128141, 0.23086800224441001, 0.23097780965710532, 0.23109246472163791, 0.23121219544965863, 0.23133724468946079, 0.23146787129837282, 0.23160435143273461, 0.23174697996969934, 0.23189607207713978, 0.23205196495037095, 0.23221501973720488, 0.2323856236761917, 0.23256419247681751, 0.23275117297506998, 0.2329470461033053, 0.23315233021992859, 0.23336758485227135, 0.23359341491549618, 0.23383047548178543, 0.23407947718786387, 0.23434119238569273, 0.23461646216170945, 0.23490620437510126, 0.2352114228966668, 0.23553321826817838, 0.23587280005002589, 0.23623150118474906, 0.23661079477940281, 0.23701231380508267, 0.23743787433335456, 0.23788950308505971, 0.23836947026784225, 0.23888032893984187, 0.23942496247887901, 0.24000664218764239, 0.24062909766585519, 0.24129660338674025, 0.24201408600809587, 0.2427872584450424, 0.24362278880334795, 0.24452851517364385, 0.24551372140088543, 0.24658949485579199, 0.24776919585588222, 0.24906908115301851, 0.25050914314423811, 0.25211425599653953, 0.25391576614558087, 0.25595373875661998, 0.25828019346668252, 0.26096386817241907, 0.26409740708467666, 0.26780851278697271, 0.27227780587128353, 0.27776848781155233, 0.28467773152457337, 0.29363021520335081, 0.30565853719119934, 0.32257596312617165, 0.34781138035036357, 0.3884581489747484, 0.46073305357281308, 0.60369929426940483, 0.86973615428326201, 0.9138960852459338, 0.51916831857577284, 0.32381892992459504, 0.25736840711966036, 0.23288121152401431, 0.22314019442648483, 0.21926525962876522, 0.21794718948681452, 0.21780249624024151, 0.21819863243174273, 0.21882579493382065, 0.21952395562800731, 0.2202069359849739, 0.22082677576181076, 0.22135609202315989, 0.22177896961072896, 0.22208610925715253, 0.22227219988985278, 0.22233451052097089, 0.22227219988985311, 0.2220861092571528, 0.22177896961072893, 0.22135609202315934, 0.22082677576181103, 0.22020693598497276, 0.21952395562800778, 0.21882579493382093, 0.21819863243174362, 0.21780249624024173, 0.21794718948681485, 0.21926525962876584, 0.22314019442648567, 0.23288121152401448, 0.25736840711967518, 0.32381892992451888, 0.5191683185760757, 0.91389608524639765, 0.86973615428322815, 0.60369929426956781, 0.46073305357283845, 0.38845814897477249, 0.34781138035035541, 0.32257596312616149, 0.30565853719119435, 0.29363021520334381, 0.28467773152457865, 0.27776848781154723, 0.27227780587128303, 0.26780851278697504, 0.26409740708467383, 0.26096386817241918, 0.25828019346668457, 0.25595373875662014, 0.25391576614558126, 0.25211425599653925, 0.25050914314423772, 0.24906908115301907, 0.24776919585588203, 0.24658949485579301, 0.24551372140088595, 0.24452851517364335, 0.24362278880334848, 0.2427872584450424, 0.24201408600809521, 0.24129660338673989, 0.24062909766585555, 0.24000664218764278, 0.23942496247887912, 0.23888032893984262, 0.23836947026784255, 0.23788950308505882, 0.237437874333354, 0.23701231380508303, 0.23661079477940292, 0.23623150118474864, 0.23587280005002614, 0.23553321826817836, 0.23521142289666616, 0.23490620437510071, 0.23461646216170884, 0.23434119238569284, 0.23407947718786384, 0.23383047548178595, 0.23359341491549618, 0.23336758485227166, 0.23315233021992859, 0.23294704610330499, 0.23275117297506961, 0.23256419247681789, 0.23238562367619164, 0.23221501973720463, 0.23205196495037114, 0.23189607207714022, 0.2317469799696999, 0.23160435143273458, 0.23146787129837273, 0.23133724468946079, 0.23121219544965815, 0.231092464721638, 0.23097780965710582, 0.23086800224440981, 0.23076282824128114, 0.23066208620175729, 0.23056558658766432, 0.23047315095616669, 0.23038461121587031, 0.23029980894483051, 0.23021859476455728, 0.230140827764762, 0.23006637497416402, 0.22999511087317889, 0.22992691694473502, 0.22986168125988471, 0.22979929809518271, 0.22973966757914291, 0.22968269536532673, 0.22962829232987997, 0.2295763742915202, 0.22952686175220702, 0.22947967965684854, 0.22943475717059697, 0.22939202747239432, 0.22935142756355503, 0.22931289809029423, 0.22927638317920646, 0.2292418302847794, 0.22920919004811957, 0.22917841616614917, 0.22914946527056909, 0.22912229681598478, 0.2290968729766199, 0.22907315855110277, 0.22905112087485421, 0.22903072973966024, 0.22901195732003757, 0.22899477810604082, 0.2289791688422029, 0.22896510847232565, 0.22895257808985889, 0.22894156089365447, 0.22893204214888407, 0.2289240091529523, 0.22891745120625578, 0.22891235958764886, 0.2289087275345188, 0.22890655022737755, 0.22890582477890081, 0.22890618747428604, 0.22890727569492245, 0.22890908984430991, 0.2289116305951239, 0.22891489888948446, 0.22891889593933171, 0.22892362322690007, 0.22892908250530661, 0.22893527579924158, 0.22894220540575921, 0.22894987389517749, 0.22895828411207492, 0.22896743917639498, 0.22897734248464069, 0.22898799771117656, 0.22899940880962164, 0.22901158001434055, 0.22902451584202324, 0.22903822109336222, 0.22905270085480567, 0.22906796050041195, 0.22908400569377393, 0.22910084239002551, 0.2291184768379291, 0.22913691558202856, 0.22915616546487533, 0.22917623362931139, 0.22919712752082169, 0.22921885488992952, 0.22924142379464427, 0.2292648426029536, 0.22928911999534762, 0.22931426496737362, 0.22934028683220858, 0.22936719522325277, 0.22939500009671751, 0.2294237117342173, 0.22945334074534018, 0.22948389807019851, 0.22951539498194276, 0.22954784308922072, 0.22958125433858709, 0.22961564101682702, 0.22965101575319921, 0.229687391521568, 0.2297247816424213, 0.22976319978474738, 0.22980265996775634, 0.22984317656242736, 0.22988476429286017, 0.22992743823741377, 0.22997121382960323, 0.23001610685873788, 0.23006213347027293, 0.23010931016585126, 0.23015765380300685, 0.23020718159450973, 0.23025791110730842, 0.23030986026106273, 0.23036304732621959, 0.23041749092160957, 0.23047321001153354, 0.23053022390230227, 0.23058855223820926, 0.23064821499689114, 0.23070923248405964, 0.23077162532756054, 0.23083541447074737, 0.23090062116512339, 0.23096726696224593, 0.23103537370485489, 0.23110496351721449, 0.23117605879465097, 0.23124868219227757, 0.23132285661289731, 0.23139860519409125, 0.23147595129450391, 0.23155491847933996, 0.23163553050511126, 0.23171781130367303, 0.2318017849656166, 0.23188747572308743, 0.23197490793212625, 0.2320641060546641, 0.2321550946402931, 0.2322478983080096, 0.23234254172811608, 0.23243904960453601, 0.23253744665781087, 0.23263775760912198, 0.23274000716569904, 0.23284422000806154, 0.23295042077958486, 0.23305863407895644, 0.23316888445617409, 0.23328119641279613, 0.23339559440729382, 0.23351210286640556, 0.23363074620354005, 0.233751548845401, 0.23387453526811022, 0.23399973004429903, 0.23412715790275315, 0.23425684380241302, 0.23438881302269227, 0.23452309127229887, 0.23465970481897624, 0.23479868064280102, 0.23494004661596196, 0.23508383171221942, 0.23523006624956264, 0.23537878216989097, 0.23553001335994939, 0.23568379601809294, 0.23584016907192062, 0.23599917465224343, 0.23616085862937988, 0.23632527121830127, 0.23649246765975332, 0.23666250898513522, 0.2368354628736348, 0.23701140461094031, 0.2371904181597104, 0.23737259735302407, 0.23755804722312535, 0.2377468854791023, 0.23793924414855114, 0.238135271400015, 0.23874713247256665, 0.23939936511328033, 0.24010006576993637, 0.24086062749579717, 0.24169703380446605, 0.24263168132652047, 0.24369601236232716, 0.2449344398763445, 0.24641042350104647, 0.24821628444627827, 0.25048983062583202, 0.25344406029512662, 0.25742360028152, 0.2630201061930782, 0.2713305884158449, 0.28460639017414413, 0.30814954491276236, 0.35707595096606559, 0.48619981790721556, 0.8212700000377452, 0.49581902979398995, 0.26609178791146282, 0.22121965263696539, 0.21003705085398283, 0.20692633116671152, 0.20622071409032225, 0.20630040992669157, 0.20662187675467628, 0.20698556432455337, 0.20731612333990376, 0.20758660873957677, 0.20778962519726349, 0.20792555595906251, 0.20799754194353243, 0.20800929496658876, 0.2079641517355631, 0.20786468347284967, 0.20771255393967353, 0.20750848404593872, 0.20725225679928816, 0.2069427323968652, 0.2065778617241866, 0.20615469776222139, 0.20566941424415375, 0.20511735410516824, 0.20449315310190594, 0.2037910276976059, 0.20300540398796188, 0.20213224659987306, 0.20117183958505738, 0.20013465862011812, 0.19905408803149141, 0.19801511476530007, 0.19722295106582327, 0.19718058396247204, 0.19919900294898574, 0.20708377138377149, 0.23383400655577088, 0.33401849367161213, 0.70507177561908563, 0.84388775395258753, 0.53964723291735239, 0.39993129029017443, 0.33768620203953859, 0.30490972448572418, 0.28526974892668416, 0.27236004533145258, 0.26327564249076474, 0.256540401503496, 0.25133514778375066, 0.24717261706295274, 0.24374630144403486, 0.24085429529773297, 0.23835832433832971, 0.23616046944098637, 0.23418932689013006, 0.23239146202019342, 0.23072597104056403, 0.22916095300357497, 0.22767122136190976, 0.22623688791104049, 0.22484264951713542, 0.22347777000087055, 0.22213693416569316, 0.22082243532003604, 0.21954868497658558, 0.21835111790451472, 0.21730396188528936, 0.21655699990494831, 0.21641582068804902, 0.21752974813748188, 0.22137279614864661, 0.231618374882329, 0.25861870259953279, 0.33576055531593363, 0.56525360352938048, 0.88595337666949703, 0.71115570798874994, 0.50537251650480897, 0.40367006543091666, 0.35112719350949145, 0.32072573213253902, 0.3014031140298265, 0.28821067367947573, 0.27869719011408495, 0.27153867894643247, 0.2659678578415795, 0.26151391327569945, 0.25787410770816738, 0.25484609796516522, 0.25229020694727594, 0.25010736916113124, 0.24822570206505576, 0.24659203559420656, 0.24516640164769529, 0.24391835031150561, 0.24282442708894802, 0.24186640768461357, 0.24103003900131229, 0.24030412590153807, 0.23967985907803876, 0.23915031447576809, 0.23871007729008822, 0.23835495840573537, 0.23808178109224523, 0.23788822258329351, 0.23777269993694161, 0.23773429300835797, 0.23775989116669857, 0.23783680857815173, 0.23796541787996545, 0.23814635302678916, 0.23838052910335836, 0.23866917104341298, 0.23901385231744515, 0.23941654507998708, 0.23987968380456173, 0.24040624512536138, 0.24099984750973141, 0.24166487558914665, 0.24240663559817097, 0.24323155058339135, 0.24414740709936097, 0.24516366937922715, 0.2462918830150238, 0.24754619886204454, 0.24894406052076676, 0.25050711744144638, 0.25226245380408302, 0.25424426636196162, 0.25649619162923726, 0.25907458995933419, 0.2620532690015438, 0.2655304219648903, 0.26963906055924469, 0.27456311823351198, 0.28056304459975762, 0.28801784784947082, 0.29749676401158676, 0.30988661311701943, 0.32662871854745607, 0.35018141042151885, 0.38496306404770197, 0.4393007373652621, 0.52895898278413955, 0.67747208204729725, 0.863125991168879, 0.8520604617331563, 0.59437969175599548, 0.40031292288301046, 0.30607033589518545, 0.26167337419898123, 0.23962055069014726, 0.22806815759471474, 0.22179704325453908, 0.21834880496420009, 0.21648514642163713, 0.21554472635496111, 0.21515652746288089, 0.21510372422383103, 0.21525524249347178, 0.21552959996686308, 0.21587496204827858, 0.21625772355072803, 0.21665575614029184, 0.21705430036661597, 0.21744340374849985, 0.21781628774841325, 0.21816828655033424, 0.21849614555906899, 0.21879755071547316, 0.21907080869846746, 0.2193146276533359, 0.2195279664046132, 0.21970993181737361, 0.2198597117932069, 0.21997653702191849, 0.22005966921542103, 0.2201084180678119, 0.22012219459709403, 0.22010061614115245, 0.22004369017926956, 0.21995212394564037, 0.21982784115069259, 0.21967484880456301, 0.21950071159622933, 0.21931911125162118, 0.21915440783352583, 0.21905003807852053, 0.21908460448428929, 0.21940422017260111, 0.22029147193801812, 0.22232348394059331, 0.22676823929000575, 0.23669628579195581, 0.26055960000768341, 0.32550783451018073, 0.5240138909490033, 0.8916393181126786, 0.74006491409932385, 0.50553179313307783, 0.39704285241254311, 0.34431530233986424, 0.31511807319360441, 0.297169115812361, 0.28524122015939823, 0.27683496376113925, 0.27063515830742058, 0.26589478714221843, 0.26216269554696653, 0.25915246937990055, 0.25667465066860073, 0.25459955535224288, 0.25283583178434493, 0.25131755796064009, 0.24999618671638132, 0.24883535410100055, 0.24780743781303, 0.24689121801212829, 0.24607025116745421, 0.24533171601445225, 0.2446655786177202, 0.24406397709707192, 0.24352076003967957, 0.24303113403102294, 0.24259138974261912, 0.24219868537322925, 0.24185087262333613, 0.24154635482129619, 0.24128396995991522, 0.24106289365431197, 0.24088255865929925, 0.24074258875819821, 0.24064274566943555, 0.24058288819180632, 0.24056294318337973], [0.2382615195766431, 0.23829675500276465, 0.23840277709466301, 0.23858054909211562, 0.23883173013287146, 0.2391587597506391, 0.2395649844485731, 0.24005483586774529, 0.24063407481615928, 0.24131012219685888, 0.24209250784957626, 0.24299348340345661, 0.24402886860192072, 0.24521923763817549, 0.24659161240515759, 0.24818193061202296, 0.25003873114422065, 0.25222881065087271, 0.25484618404881249, 0.25802680499677827, 0.26197379694082573, 0.26700291805676007, 0.27362953790619471, 0.28274757364458081, 0.29603221100683585, 0.31695440556432614, 0.35372460351581064, 0.42932788435345809, 0.61549848278345831, 0.8727169741290185, 0.46454724163980676, 0.27325014624484378, 0.22934364001786892, 0.21804188169631181, 0.21551513044707488, 0.21579369992494857, 0.21704317277468108, 0.21861866043248657, 0.22027631945675338, 0.22192336031915913, 0.22352832023176408, 0.22508581966879013, 0.2266018166840654, 0.22808719860985102, 0.22955497649689238, 0.23101911221635907, 0.23249411532685332, 0.23399501759947494, 0.23553754348263398, 0.23713839281449606, 0.23881559938266816, 0.24058895231259625, 0.24248047874198803, 0.24451499110157382, 0.24672070253093009, 0.24912990948301561, 0.25177972979269592, 0.25471286405326554, 0.25797831249645031, 0.26163192022896198, 0.26573652863241509, 0.27036136461437565, 0.27558008611724499, 0.28146661350076618, 0.28808753164687567, 0.2954895339581789, 0.30368031524932659, 0.31260192839948409, 0.32209753849079065, 0.33187638304520628, 0.34148757500274063, 0.35031940124399635, 0.35764260920476315, 0.36270806346778478, 0.36488851043602605, 0.36382747202876675, 0.35954149448751815, 0.3524309199425642, 0.34319012271391042, 0.33265169913158527, 0.32162355544988758, 0.31077000838977747, 0.30055817183834843, 0.29126113350032756, 0.28299458439117109, 0.27576407265428554, 0.26950818699985252, 0.26413148025848676, 0.25952655266050534, 0.25558728685895932, 0.25221582346200766, 0.24932553610626421, 0.24684166653990997, 0.24470071949128439, 0.2428492916851363, 0.24124272085103099, 0.23984375888286691, 0.23862136535067016, 0.23754965682991069, 0.23660701545513876, 0.23577534470803801, 0.23503945431704265, 0.23438655489519769, 0.2338058440689402, 0.23328816797015031, 0.23282574434840356, 0.23241193585183331, 0.23204106406800495, 0.23170825666325931, 0.23140932141534951, 0.23114064212906146, 0.23089909239483972, 0.2306819639335044, 0.23048690689972412, 0.2303118800221822, 0.23015510886373328, 0.23001505081025717, 0.22989036565850379, 0.2297798908840322, 0.22968262084066021, 0.22959768928095248, 0.22952435469974569, 0.22946198809476676, 0.22941006281420162, 0.22936814622399451, 0.22933589298036725, 0.22931303973772751, 0.2292994011606091, 0.22929486714199146, 0.22929561090933739, 0.22929784320186286, 0.22930156699330087, 0.22930678724743925, 0.22931351092951371, 0.22932174702221905, 0.22933150654642254, 0.22934280258666184, 0.22935565032154501, 0.2293700670591893, 0.22938607227785601, 0.22940368767196417, 0.22942293720370166, 0.22944384716045096, 0.2294664462183264, 0.22949076551208858, 0.22951683871179196, 0.22954470210651684, 0.2295743946956029, 0.22960595828782532, 0.22963943760900424, 0.22967488041860851, 0.22971233763592824, 0.22975186347649026, 0.22979351559943412, 0.22983735526664159, 0.22988344751449438, 0.22993186133921784, 0.22998266989687521, 0.23003595071916177, 0.23009178594629365, 0.23015026257839502, 0.23021147274694717, 0.23027551400801971, 0.23034248965918702, 0.23041250908224506, 0.23048568811405967, 0.23056214944814754, 0.23064202306986814, 0.23072544672845247, 0.23081256644944154, 0.23090353709153974, 0.23099852295236512, 0.23109769842811656, 0.23120124873279449, 0.23130937068332555, 0.23142227355773884, 0.23154018003448826, 0.23166332722206248, 0.23179196778928543, 0.23192637120812121, 0.23206682512246332, 0.23221363685832072, 0.23236713509306348, 0.23252767170403779, 0.23269562381994699, 0.23287139610205576, 0.23305542328658463, 0.23324817302477407, 0.23345014906318831, 0.23366189481409941, 0.23388399737450502, 0.23411709206280545, 0.23436186755485494, 0.23461907171645047, 0.23488951824803667, 0.23517409428033739, 0.23547376908774101, 0.23578960412110284, 0.23612276460475634, 0.23647453299645521, 0.2368463246765535, 0.23723970631804661, 0.23765641749741828, 0.23809839624452053, 0.23856780940761046, 0.23906708893989154, 0.23959897551416559, 0.24016657126680269, 0.24077340399500444, 0.24142350582994726, 0.24212151035065599, 0.24287277338671071, 0.24368352452404229, 0.24456105878608111, 0.24551398142474656, 0.24655252369585617, 0.24768895464119778, 0.24893812439819116, 0.25031819023296092, 0.25185160031600823, 0.25356644717753496, 0.25549836122112984, 0.25769320938262597, 0.2602110215297731, 0.26313183679806124, 0.26656463858129442, 0.27066142008118188, 0.27564008882243396, 0.28182324957186183, 0.28970692404577436, 0.3000889778876471, 0.31432471949938262, 0.33487491440569633, 0.3665870589398445, 0.41998071020726851, 0.52012176266081889, 0.72290763874880071, 0.98733917091236545, 0.73239376953135382, 0.40518525315425868, 0.28583915601547055, 0.24411856250082209, 0.22805833068963643, 0.22158999038981347, 0.21913021196798388, 0.2184741547139101, 0.21865684115957523, 0.21922109092082573, 0.21993663148617978, 0.22068179205794758, 0.22138978878163126, 0.22202281946674396, 0.22255895358532118, 0.22298524400106784, 0.22329400905999186, 0.22348079951112845, 0.22354330200827185, 0.22348079951112881, 0.22329400905999205, 0.22298524400106787, 0.22255895358532057, 0.22202281946674415, 0.22138978878163007, 0.22068179205794805, 0.21993663148618012, 0.21922109092082678, 0.21865684115957565, 0.21847415471391021, 0.21913021196798407, 0.22158999038981392, 0.22805833068963635, 0.24411856250083128, 0.28583915601542587, 0.4051852531544522, 0.73239376953204904, 0.98733917091233403, 0.72290763874901798, 0.52012176266085652, 0.41998071020730054, 0.36658705893983456, 0.3348749144056829, 0.31432471949937707, 0.3000889778876385, 0.28970692404578069, 0.28182324957185578, 0.27564008882243313, 0.27066142008118443, 0.26656463858129115, 0.26313183679806129, 0.26021102152977527, 0.25769320938262597, 0.25549836122113018, 0.25356644717753468, 0.25185160031600778, 0.25031819023296148, 0.24893812439819091, 0.24768895464119883, 0.24655252369585673, 0.24551398142474612, 0.24456105878608159, 0.24368352452404232, 0.24287277338671007, 0.24212151035065571, 0.24142350582994762, 0.24077340399500485, 0.24016657126680291, 0.23959897551416637, 0.23906708893989184, 0.23856780940760958, 0.23809839624451995, 0.23765641749741873, 0.23723970631804658, 0.23684632467655303, 0.23647453299645543, 0.23612276460475615, 0.23578960412110223, 0.2354737690877404, 0.23517409428033678, 0.2348895182480368, 0.23461907171645033, 0.23436186755485539, 0.23411709206280537, 0.23388399737450538, 0.23366189481409935, 0.23345014906318798, 0.23324817302477377, 0.23305542328658505, 0.23287139610205565, 0.23269562381994668, 0.23252767170403799, 0.23236713509306384, 0.23221363685832133, 0.23206682512246335, 0.23192637120812118, 0.23179196778928529, 0.23166332722206212, 0.23154018003448826, 0.23142227355773934, 0.2313093706833253, 0.23120124873279418, 0.23109769842811639, 0.23099852295236523, 0.23090353709153988, 0.23081256644944173, 0.23072544672845227, 0.23064202306986772, 0.2305621494481476, 0.23048568811405984, 0.23041250908224503, 0.23034248965918672, 0.23027551400801965, 0.2302114727469475, 0.23015026257839524, 0.23009178594629318, 0.23003595071916158, 0.22998266989687463, 0.22993186133921775, 0.22988344751449449, 0.22983735526664176, 0.22979351559943378, 0.22975186347649007, 0.22971233763592797, 0.22967488041860831, 0.22963943760900471, 0.22960595828782515, 0.2295743946956034, 0.22954470210651723, 0.2295168387117919, 0.22949076551208852, 0.22946644621832668, 0.22944384716045158, 0.22942293720370152, 0.22940368767196462, 0.22938607227785593, 0.22937006705918922, 0.22935565032154515, 0.22934280258666173, 0.22933150654642251, 0.22932174702221922, 0.22931351092951341, 0.22930678724743941, 0.22930156699330115, 0.22929784320186322, 0.22929561090933742, 0.22929486714199074, 0.22929523899593293, 0.22929635469608456, 0.22929821465748254, 0.2293008195720401, 0.22930417040883086, 0.22930826841448532, 0.22931311511369207, 0.22931871230981785, 0.22932506208563827, 0.22933216680417229, 0.22934002910963425, 0.22934865192848669, 0.22935803847060876, 0.2293681922305609, 0.22937911698896252, 0.22939081681396781, 0.22940329606284598, 0.2294165593836571, 0.22943061171703166, 0.22944545829803328, 0.22946110465813041, 0.2294775566272429, 0.22949482033588126, 0.22951290221737081, 0.2295318090101518, 0.22955154776015838, 0.22957212582326358, 0.22959355086780131, 0.22961583087713955, 0.22963897415231477, 0.22966298931471885, 0.22968788530882822, 0.22971367140497068, 0.22974035720212191, 0.22976795263073044, 0.22979646795554887, 0.22982591377847811, 0.22985630104140092, 0.22988764102900822, 0.22991994537159741, 0.22995322604782947, 0.2299874953874482, 0.2300227660739253, 0.23005905114703953, 0.23009636400535602, 0.23013471840860791, 0.2301741284799495, 0.23021460870807006, 0.23025617394914946, 0.23029883942863308, 0.23034262074281336, 0.23038753386018496, 0.23043359512256176, 0.23048082124592573, 0.23052922932098843, 0.23057883681343283, 0.23062966156382253, 0.23068172178713067, 0.23073503607188489, 0.23078962337888217, 0.23084550303945325, 0.23090269475324596, 0.23096121858549515, 0.23102109496375833, 0.23108234467407568, 0.23114498885654064, 0.23120904900023923, 0.23127454693754645, 0.23134150483774157, 0.23140994519993427, 0.23147989084527229, 0.2315513649084199, 0.23162439082829914, 0.23169899233808525, 0.2317751934544581, 0.23185301846611903, 0.2319324919215966, 0.23201363861635851, 0.23209648357928225, 0.23218105205852985, 0.23226736950690596, 0.23235546156678222, 0.23244535405469538, 0.23253707294576784, 0.23263064435808825, 0.23272609453726759, 0.23282344984137615, 0.23292273672654074, 0.2330239817334947, 0.23312721147545404, 0.23323245262770956, 0.23333973191941881, 0.23344907612812935, 0.23356051207763717, 0.23367406663988805, 0.23378976674167692, 0.23390763937706274, 0.23402771162645924, 0.23415001068352692, 0.23427456389111917, 0.23440139878765068, 0.23453054316546329, 0.23466202514288548, 0.23479587325191759, 0.23493211654364463, 0.23507078471372231, 0.23521190825052962, 0.23535551860882095, 0.23550164841202592, 0.23565033168664162, 0.23580160413251139, 0.23595550343312824, 0.23611206961053674, 0.23627134542980496, 0.23643337685853974, 0.23659821358740721, 0.23676590961820829, 0.23693652392665951, 0.23711012120771524, 0.23728677271202034, 0.23746655718289963, 0.23764956190424855, 0.2378358838706838, 0.23802563109253042, 0.23821892404950101, 0.23841589730848317, 0.23861670132252083, 0.23882150443013217, 0.23946190837212386, 0.24014659934818711, 0.24088465322578717, 0.2416887987113929, 0.24257686981290319, 0.24357387263054986, 0.24471500459328835, 0.24605021239721681, 0.24765134384383963, 0.24962387240613571, 0.25212708711948983, 0.25541085707249223, 0.25988708512517461, 0.2662799364316723, 0.27597420387282995, 0.29193166729574821, 0.3215378846436121, 0.38758076391383484, 0.57753096827530703, 0.84448488828792101, 0.37783639712893147, 0.24442395109815251, 0.21650553360417812, 0.20912034293020146, 0.20709798254260581, 0.20674540923069334, 0.20693964739713419, 0.20728984547514337, 0.20765016798228147, 0.20796593014700751, 0.20821856825747523, 0.20840414252746015, 0.20852441403159713, 0.20858300266061322, 0.20858371307436613, 0.20852981953340499, 0.20842378160005195, 0.2082671512259765, 0.20806055987324595, 0.20780373354015047, 0.20749551210755293, 0.20713386421761334, 0.2067158980959673, 0.20623787703346982, 0.20569525961509977, 0.20508280453151512, 0.20439481745919488, 0.20362569241826234, 0.20277105415310548, 0.20183013685622114, 0.20081076661774588, 0.19974003150392969, 0.19868800731529465, 0.19782344209339589, 0.19755438881346693, 0.19891984084016712, 0.20483195105013829, 0.22475659862878705, 0.2963489619655108, 0.579518631305875, 0.9183781010116816, 0.6070774246758569, 0.42842193307044751, 0.35192229636518041, 0.31327325946135187, 0.29079650613378416, 0.27633806444693865, 0.26632764803887365, 0.25899945760594201, 0.25339399983612526, 0.24895003732254201, 0.2453193251969164, 0.24227506862020884, 0.23966345520805418, 0.23737648482873774, 0.23533599351774798, 0.23348387718102484, 0.23177591219920032, 0.23017775777097127, 0.22866234902120469, 0.22720824007113766, 0.22579867373761286, 0.22442131769545545, 0.2230687729302509, 0.22174019415349247, 0.22044477393188536, 0.21920866442884038, 0.21808868424953787, 0.21720024654418302, 0.21677704971599573, 0.21730712126369661, 0.21986935734093019, 0.2270561754693681, 0.24584183352312741, 0.29777599095836105, 0.45499926682102354, 0.81412549758347474, 0.81670874382785519, 0.56744060562130016, 0.43355819578494215, 0.36722972285845373, 0.33045413038406807, 0.30783442736132427, 0.29276734182904185, 0.28210493509308415, 0.27419906375196668, 0.26811821508008088, 0.26330228580976028, 0.25939706890258613, 0.25616906737362338, 0.25345895455420614, 0.25115482995336952, 0.24917617228416328, 0.24746384529790835, 0.24597366793669848, 0.2446721579491668, 0.24353364229466234, 0.24253825097128567, 0.24167049616180425, 0.2409182480956209, 0.24027198558951066, 0.23972424073450388, 0.23926918368661898, 0.2389023107984807, 0.23862021083745732, 0.23842039186430747, 0.23830115679568178, 0.2382615195766431, 0.23828793749772725, 0.23836732332823143, 0.23850007743528809, 0.23868688113142347, 0.23892871825904391, 0.23922690651432982, 0.23958313971000542, 0.23999954266294346, 0.24047874100582251, 0.24102394901405605, 0.24163907958155451, 0.24232888187209281, 0.24309911406035772, 0.2439567611660024, 0.24491031158083981, 0.2459701109496743, 0.24714881928024154, 0.24846200758997503, 0.24992894571030183, 0.25157365571130252, 0.25342634008110043, 0.25552534742297706, 0.25791992310094991, 0.26067412895874464, 0.26387254239187985, 0.26762872940011478, 0.27209815902329071, 0.27749844315600292, 0.28414206590159485, 0.29249121096601577, 0.30325333256561138, 0.31755531934641007, 0.33727664898919085, 0.36571874251352082, 0.40900076884718972, 0.47890298131505921, 0.59683500866975792, 0.78050836746879648, 0.91227473736801079, 0.73252071643035643, 0.47943417339087313, 0.34223099421004827, 0.27868032759628159, 0.24819773286401875, 0.23269226655949021, 0.22444059312861092, 0.21994502584119965, 0.21750536002586307, 0.21624051745944076, 0.21566848119465162, 0.21551340783591999, 0.21561145927195902, 0.21586229432603699, 0.21620289217578192, 0.21659284750569971, 0.21700581721556095, 0.21742439219629778, 0.21783694011520713, 0.21823561591833765, 0.21861508216285799, 0.21897167080685123, 0.21930282521462935, 0.21960672335686848, 0.21988202023730588, 0.22012767017820836, 0.22034280373194262, 0.22052664309924258, 0.22067844607784556, 0.22079747302755506, 0.22088297501195431, 0.2209342048971599, 0.22095045752516418, 0.22093115116296422, 0.22087597187792038, 0.22078511810030624, 0.22065970950324065, 0.22050247213085794, 0.22031889946825184, 0.22011925574506885, 0.21992211594278507, 0.2197608112149973, 0.2196956023642887, 0.21983772091720721, 0.22039950180303244, 0.22180614585408029, 0.22496638554167342, 0.23199954707042555, 0.2484584573316426, 0.29124002202457233, 0.41952930831111546, 0.77102065397051955, 0.86381536577452145, 0.57870699831035266, 0.42979594910412072, 0.36115961612746889, 0.32505476623924029, 0.30368716717328059, 0.28987738141239699, 0.28034589055949144, 0.2734281925113739, 0.26820539343881356, 0.2641350203965776, 0.26087899100207745, 0.25821704726357969, 0.25600032335422085, 0.25412507031581943, 0.25251709641382586, 0.25112218719068941, 0.2499000047553841, 0.24882008620403337, 0.24785914928146752, 0.24699923508199106, 0.24622639998014545, 0.24552977577937146, 0.24490088143984856, 0.24433310958904209, 0.24382133628997127, 0.24336161894712507, 0.24295095811875086, 0.24258710638918929, 0.24226841256767723, 0.24199369308617585, 0.24176212504986888, 0.24157315725628792, 0.24142643683915807, 0.24132175014078774, 0.24125897706133834, 0.24123805854134517], [0.23881150739861928, 0.23884789626272654, 0.23895739953624762, 0.23914104437657049, 0.23940060095157345, 0.23973867412189043, 0.24015884100545021, 0.24066584504715097, 0.24126586256221144, 0.24196686539259987, 0.24277911468045824, 0.24371583805232791, 0.24479416947025165, 0.24603647410913532, 0.24747225136441436, 0.24914092858342779, 0.25109606645073873, 0.25341187338327703, 0.25619363443193943, 0.2595950552597468, 0.26384842051045043, 0.26931987539739255, 0.27661739142674691, 0.28681860071642151, 0.30200013496364858, 0.32662585254547094, 0.3717799411879148, 0.4702397188973691, 0.7164136714253504, 0.80352147161696885, 0.37810024484036781, 0.25432861742577501, 0.22493373169909686, 0.21728914381907088, 0.21587496600368619, 0.21652651096311118, 0.2179002608953087, 0.21950940292790608, 0.22116737298967248, 0.22280385184956344, 0.22439662924888049, 0.22594421983141824, 0.22745422210034927, 0.22893821680096574, 0.23040954002247763, 0.23188237876974516, 0.23337149991716424, 0.23489229682219512, 0.23646100731738107, 0.23809503698305085, 0.23981336102893716, 0.24163699817596457, 0.24358956029112336, 0.24569788642996304, 0.24799277083029894, 0.25050979092860959, 0.25329023167703762, 0.25638208241348404, 0.25984104566444677, 0.2637314331050451, 0.26812671695574702, 0.27310933409712257, 0.2787690798756719, 0.28519905808087254, 0.29248767938922537, 0.30070470645934771, 0.30987907936867126, 0.31996675283582332, 0.33080891687434777, 0.34208577012936231, 0.35327877228005006, 0.36366298375428302, 0.37235487401598905, 0.37843152383561268, 0.38111010050828975, 0.3799401015422913, 0.37493708543859933, 0.36659754208799605, 0.35578229673447637, 0.34351469581269811, 0.33077265875988576, 0.31834190106966898, 0.30675595851132076, 0.2963085515652093, 0.28710559900904536, 0.27912697108744683, 0.27228014028472886, 0.26643928999369604, 0.26147033654830204, 0.25724508421604442, 0.25364805900688631, 0.25057888951922824, 0.24795223023017249, 0.24569648594573246, 0.24375207189577872, 0.24206960609429948, 0.24060822758104258, 0.23933411926705411, 0.23821925307083064, 0.23724034527268606, 0.23637799758316883, 0.23561599609041425, 0.23494074135300411, 0.23434078589086574, 0.23380645886833468, 0.23332956121371864, 0.23290311750055662, 0.23252117353974255, 0.23217863080511664, 0.23187111058423088, 0.23159484217051787, 0.23134657055248531, 0.23112347996345284, 0.23092313037748372, 0.23074340461133674, 0.23058246414916156, 0.23043871217080977, 0.23031076255548058, 0.23019741386545023, 0.23009762750191304, 0.23001050937609757, 0.22993529456135167, 0.22987133449177136, 0.22981808635486756, 0.22977510439353244, 0.2297420328891279, 0.22971860064532626, 0.22970461683335991, 0.22969996809520812, 0.22970073084971088, 0.22970302013373986, 0.22970683901121666, 0.22971219259654466, 0.22971908806645391, 0.22972753467665064, 0.22973754378335584, 0.22974912886982157, 0.22976230557794858, 0.2297770917451476, 0.22979350744661087, 0.22981157504318536, 0.22983131923507821, 0.22985276712162236, 0.22987594826741514, 0.22990089477510878, 0.22992764136522936, 0.22995622546339248, 0.22998668729535521, 0.23001906999037236, 0.23005341969337018, 0.23008978568653271, 0.23012822052090723, 0.23016878015873882, 0.23021152412729481, 0.23025651568501754, 0.23030382200092878, 0.23035351434830442, 0.2304056683137419, 0.23046036402284481, 0.23051768638389319, 0.23057772535099463, 0.23064057620837358, 0.23070633987763145, 0.23077512325000102, 0.23084703954584745, 0.23092220870390306, 0.23100075780300899, 0.2310828215194381, 0.2311685426232476, 0.23125807251748062, 0.23135157182450944, 0.23144921102432273, 0.23155117115014048, 0.23165764454741442, 0.23176883570303758, 0.23188496215245977, 0.23200625547342649, 0.23213296237620545, 0.2322653459015333, 0.23240368673905787, 0.23254828468086541, 0.23269946022680263, 0.23285755636075839, 0.23302294051998029, 0.23319600678288138, 0.23337717830482535, 0.2335669100361171, 0.23376569176206488, 0.23397405151170944, 0.23419255938985378, 0.23442183189668322, 0.23466253681089114, 0.23491539872633238, 0.23518120534932704, 0.23546081468462712, 0.2357551632637051, 0.23606527560054125, 0.2363922750992119, 0.23673739668614507, 0.23710200150077129, 0.23748759405477238, 0.23789584236692607, 0.23832860170377757, 0.23878794271417619, 0.23927618494934735, 0.2397959370245912, 0.24035014502478147, 0.24094215121235332, 0.24157576570370165, 0.24225535459484071, 0.2429859491213435, 0.24377338194864381, 0.24462445877934344, 0.24554717638997942, 0.24655100235574826, 0.24764723767602748, 0.24884949218942121, 0.25017431550786851, 0.25164204553061614, 0.25327796624606669, 0.25511391292926178, 0.25719053709774703, 0.25956056537671185, 0.26229359168484084, 0.26548329873893078, 0.26925864571924674, 0.27380175544619345, 0.27937756705506328, 0.28638509710223331, 0.2954505013809946, 0.30760604795144247, 0.32465861583213285, 0.35001196872855722, 0.3906771275164842, 0.4626263673523292, 0.60456484889802042, 0.87523785452471303, 0.95904039967801258, 0.55098730426313469, 0.33585325544736255, 0.26263983641488126, 0.2357818439555906, 0.22511002254323431, 0.22085056471242021, 0.21938506557257725, 0.21920774190869977, 0.21963207015096456, 0.22032222162894921, 0.22110465798957668, 0.22188571105407601, 0.22261299616834798, 0.22325633661984598, 0.22379791732261509, 0.22422703113465398, 0.22453721062136975, 0.22472464727908514, 0.22478733494585887, 0.22472464727908545, 0.22453721062136994, 0.22422703113465406, 0.22379791732261448, 0.22325633661984629, 0.22261299616834676, 0.22188571105407651, 0.22110465798957704, 0.22032222162895038, 0.21963207015096511, 0.21920774190869977, 0.21938506557257698, 0.22085056471242048, 0.2251100225432342, 0.23578184395559723, 0.26263983641485206, 0.33585325544747896, 0.55098730426368159, 0.95904039967802523, 0.87523785452494707, 0.60456484889807283, 0.46262636735237067, 0.3906771275164706, 0.3500119687285419, 0.32465861583212535, 0.30760604795143287, 0.29545050138100193, 0.28638509710222654, 0.27937756705506245, 0.27380175544619623, 0.26925864571924318, 0.2654832987389309, 0.26229359168484317, 0.25956056537671168, 0.25719053709774742, 0.25511391292926161, 0.25327796624606619, 0.2516420455306167, 0.25017431550786823, 0.2488494921894224, 0.24764723767602814, 0.24655100235574773, 0.24554717638997986, 0.24462445877934338, 0.2437733819486432, 0.24298594912134316, 0.24225535459484113, 0.24157576570370204, 0.24094215121235363, 0.24035014502478219, 0.23979593702459148, 0.23927618494934647, 0.23878794271417575, 0.23832860170377801, 0.23789584236692618, 0.23748759405477191, 0.23710200150077151, 0.23673739668614502, 0.23639227509921129, 0.23606527560054064, 0.23575516326370446, 0.23546081468462729, 0.23518120534932696, 0.23491539872633288, 0.23466253681089111, 0.23442183189668356, 0.23419255938985362, 0.23397405151170905, 0.23376569176206446, 0.23356691003611751, 0.23337717830482527, 0.23319600678288108, 0.23302294051998046, 0.23285755636075878, 0.2326994602268031, 0.23254828468086539, 0.23240368673905779, 0.2322653459015333, 0.23213296237620498, 0.2320062554734266, 0.23188496215246029, 0.23176883570303738, 0.23165764454741411, 0.23155117115014029, 0.23144921102432284, 0.23135157182450961, 0.23125807251748071, 0.23116854262324749, 0.23108282151943768, 0.23100075780300891, 0.23092220870390315, 0.23084703954584737, 0.23077512325000074, 0.23070633987763142, 0.23064057620837383, 0.23057772535099483, 0.23051768638389272, 0.23046036402284462, 0.23040566831374132, 0.23035351434830423, 0.23030382200092891, 0.23025651568501762, 0.23021152412729454, 0.23016878015873868, 0.23012822052090698, 0.23008978568653257, 0.23005341969337065, 0.23001906999037214, 0.22998668729535576, 0.22995622546339273, 0.22992764136522939, 0.22990089477510867, 0.22987594826741536, 0.22985276712162306, 0.22983131923507805, 0.22981157504318578, 0.2297935074466109, 0.22977709174514757, 0.22976230557794872, 0.22974912886982152, 0.22973754378335576, 0.2297275346766508, 0.22971908806645364, 0.22971219259654477, 0.22970683901121694, 0.22970302013374022, 0.22970073084971099, 0.22969996809520743, 0.22970034944181297, 0.22970149362398551, 0.22970340106885684, 0.22970607248850924, 0.22970950888027497, 0.22971371152715556, 0.22971868199835072, 0.22972442214991431, 0.22973093412552587, 0.22973822035737371, 0.22974628356716084, 0.22975512676721946, 0.2297647532617472, 0.22977516664814601, 0.22978637081848183, 0.22979836996104863, 0.22981116856204398, 0.22982477140734789, 0.22983918358441163, 0.2298544104842388, 0.22987045780348062, 0.22988733154661603, 0.22990503802823067, 0.22992358387538966, 0.22994297603009414, 0.22996322175182521, 0.22998432862016227, 0.23000630453748694, 0.23002915773174815, 0.23005289675929586, 0.23007753050777893, 0.23010306819909312, 0.23012951939237761, 0.23015689398705144, 0.23018520222588881, 0.23021445469811194, 0.23024466234250712, 0.230275836450544, 0.23030798866949653, 0.23034113100555076, 0.2303752758268833, 0.23041043586671595, 0.23044662422630841, 0.23048385437790095, 0.23052214016757189, 0.23056149581801141, 0.23060193593118528, 0.23064347549087402, 0.23068612986507214, 0.23072991480822516, 0.23077484646329155, 0.23082094136359882, 0.23086821643448216, 0.23091668899467696, 0.23096637675744586, 0.2310172978314127, 0.23106947072108658, 0.23112291432703416, 0.23117764794569604, 0.23123369126880258, 0.23129106438237129, 0.23134978776525739, 0.23140988228722542, 0.23147136920652658, 0.23153427016693934, 0.23159860719426476, 0.23166440269223745, 0.23173167943784301, 0.23180046057600728, 0.23187076961365496, 0.23194263041311108, 0.23201606718484016, 0.2320911044795203, 0.23216776717944998, 0.23224608048929532, 0.23232606992619523, 0.2324077613092545, 0.23249118074845374, 0.23257635463303541, 0.23266330961942511, 0.23275207261877712, 0.23284267078424267, 0.23293513149808212, 0.23302948235878621, 0.23312575116836373, 0.23322396592003022, 0.23332415478652677, 0.23342634610937302, 0.23353056838937603, 0.23363685027879744, 0.23374522057560723, 0.2338557082203446, 0.23396834229615857, 0.23408315203268562, 0.23420016681452033, 0.23431941619509788, 0.23444092991696788, 0.23456473793949989, 0.23469087047522239, 0.23481935803614343, 0.23495023149152475, 0.2350835221387941, 0.23521926178942568, 0.23535748287185787, 0.23549821855371314, 0.23564150288584099, 0.23578737097097674, 0.23593585916007365, 0.23608700527970028, 0.23624084889423172, 0.23639743160693985, 0.2365567974044685, 0.23671899304966759, 0.23688406852819419, 0.23705207755485913, 0.23722307814623972, 0.23739713326674627, 0.23757431155601094, 0.23775468814625059, 0.23793834557911533, 0.23812537483248342, 0.23831587646876168, 0.23850996191742274, 0.23870775490591564, 0.23890939305460757, 0.23911502965323464, 0.23932483563833049, 0.2395390017935298, 0.24020992018440265, 0.24092942556319596, 0.24170769168543405, 0.24255895111818579, 0.24350313232011045, 0.24456821320015015, 0.24579369926103981, 0.24723594152681957, 0.24897659755751841, 0.25113671619335465, 0.25390141433578212, 0.25756572489843282, 0.26262588794435082, 0.26997714022621189, 0.28139032860535224, 0.30083057506676697, 0.33883951187504935, 0.43083191294696099, 0.70734049249282682, 0.69686738242816237, 0.3095096685189101, 0.23150967505757669, 0.21363655439657522, 0.20872150186964275, 0.20744461359558988, 0.20733699241775969, 0.20760720176092531, 0.20797143653481581, 0.20832276889160845, 0.20862178093780095, 0.20885614853971693, 0.2090244849146958, 0.2091295335943468, 0.20917521720932863, 0.20916535538593145, 0.20910312714583709, 0.2089908682544821, 0.20883001583860333, 0.20862111246916445, 0.20836382857943295, 0.20805698480134055, 0.20769856771783296, 0.20728574009680575, 0.20681485371199515, 0.20628148268116717, 0.20568051237316193, 0.20500635143629142, 0.20425339868380504, 0.2034170273527352, 0.20249562506792429, 0.20149483390221168, 0.20043653407012682, 0.19937854306175598, 0.19846003064816509, 0.19801362050165452, 0.19886846654467175, 0.20327501713658672, 0.21821842640504302, 0.26993861994138973, 0.47426949641230548, 0.92782237009416579, 0.69255902512460443, 0.46443722121137093, 0.36906198943223212, 0.32297401398470799, 0.29703834581470145, 0.28074428392514028, 0.26965917202767598, 0.261653670690352, 0.25559659866681422, 0.25083801768943265, 0.24698044482902978, 0.24376811195502338, 0.24102931840782224, 0.23864456674045434, 0.23652804605783245, 0.23461641099826591, 0.23286174256591416, 0.23122701421348663, 0.22968313013476943, 0.22820701122320938, 0.22678044840419423, 0.2253896132565133, 0.2240252709271657, 0.22268393773278555, 0.22137055264341726, 0.22010386127619777, 0.21892703528147994, 0.21792903167300937, 0.21728937799073633, 0.21737772476127046, 0.21899247108519765, 0.22398985580199829, 0.23715070348887313, 0.27253612520548764, 0.37725006413235462, 0.67677355544492745, 0.90112418130775085, 0.6497107143030284, 0.4726058561333315, 0.38727080209521847, 0.34208705989279448, 0.31529671450676411, 0.29793603781852435, 0.28590408316868432, 0.27712548101753676, 0.27045880993150079, 0.26523267530668471, 0.26103003541564612, 0.25758001277872705, 0.25470004531283591, 0.25226324262311733, 0.2501791012966853, 0.24838165436536358, 0.2468219358105786, 0.24546304332175789, 0.24427681689949177, 0.24324155158244659, 0.24234038928819007, 0.24156016725867568, 0.24089058033022026, 0.24032356350595274, 0.23985283248581657, 0.23947353999063459, 0.23918201906396525, 0.23897559355555908, 0.23885244223122609, 0.23881150739861928, 0.23883878992810048, 0.23892077951331026, 0.23905790668397978, 0.23925090428950491, 0.23950083105037817, 0.23980910577802175, 0.24017755361922624, 0.24060846623530949, 0.24110467852736175, 0.24166966542880927, 0.24230766348989341, 0.24302382359544131, 0.24382440335951094, 0.24471701077939823, 0.2457109149792038, 0.24681744588904969, 0.24805051334464351, 0.24942728867865771, 0.25096911050431309, 0.25270270443009868, 0.25466184942006209, 0.25688969069667839, 0.25944200638996306, 0.26239191060720074, 0.26583677002286432, 0.26990861931519733, 0.27479026590283606, 0.28074094294314572, 0.28813856420947337, 0.29755201010933297, 0.3098701760707962, 0.32654355171028426, 0.35006003312503314, 0.3849282237855467, 0.43975590626634464, 0.53120707041344084, 0.68541152468705813, 0.88232412059053278, 0.86657211318263438, 0.59272093997354824, 0.39603477312725521, 0.30318497493771424, 0.26009637637860122, 0.2389017111280114, 0.2278946847795929, 0.22197961472092201, 0.21877325053286484, 0.21708083050266713, 0.21626656882139181, 0.21597489471500522, 0.21599862625333469, 0.21621290259755549, 0.21654036433519414, 0.21693198852740286, 0.21735613713665247, 0.21779209202792393, 0.21822612885379888, 0.21864907291932478, 0.21905474407791251, 0.21943894800656072, 0.21979881055971107, 0.2201323317146307, 0.22043808252795036, 0.22071499675625139, 0.22096222618360101, 0.22117903967370495, 0.22136475310045794, 0.22151868216074502, 0.22164011362476957, 0.22172829352394091, 0.22178243369052783, 0.22180174155588117, 0.22178548299796902, 0.22173309557546914, 0.22164438187194457, 0.22151983383208615, 0.22136117628562313, 0.22117228567689623, 0.22096076727758937, 0.22074072149919577, 0.22053773020820389, 0.22039815329764884, 0.22040719136982018, 0.22072579227299963, 0.22167086140130368, 0.22390341779008346, 0.22891417864616453, 0.24043661656664689, 0.26921304653886752, 0.35161557612098276, 0.60930030824435077, 0.93685381457627304, 0.67916834034238771, 0.47398748794452955, 0.382545699127537, 0.33707916252245507, 0.31130380243483791, 0.29515854054323776, 0.28427058849544451, 0.27650672661940401, 0.27072532884828826, 0.26626884803996531, 0.26273555412703364, 0.25986795008087876, 0.25749433583247355, 0.25549639587793327, 0.25379032843092297, 0.2523153947079777, 0.25102671836534124, 0.24989061450291783, 0.24888147529938809, 0.24797964194531161, 0.24716991771138203, 0.2464405072387941, 0.24578224479618069, 0.24518802184116353, 0.24465235414607386, 0.24417104801752765, 0.24374093784220824, 0.2433596757574297, 0.24302556015037527, 0.24273739384379869, 0.24249436579522834, 0.242295952277752, 0.24214183504903475, 0.24203183509799631, 0.24196586128513678, 0.24194387363738976], [0.23941326169016161, 0.23945087409060326, 0.23956407064724999, 0.23975394799417299, 0.24002239707584633, 0.24037220279333329, 0.24080719377716298, 0.24133245416615681, 0.24195461530704535, 0.24268225399996923, 0.24352643689726911, 0.24450147054150026, 0.2456259477436811, 0.24692423128509239, 0.24842859914763407, 0.25018241735750113, 0.25224495650265089, 0.25469892501405983, 0.25766266374181768, 0.26131068998119356, 0.26590996804881478, 0.27188761532097, 0.27996608715237392, 0.29145634947271698, 0.30896282411533499, 0.33831433634414926, 0.39476627258224883, 0.52565527453751248, 0.82873105493701715, 0.65808493318124628, 0.32198315827358509, 0.24198753058143574, 0.22210727880862963, 0.21702432066120558, 0.21642253436520975, 0.21735087947698398, 0.21881535718871059, 0.22044642076467746, 0.22210124482948262, 0.22372701212886384, 0.22530881212921239, 0.22684825692363222, 0.22835426247576526, 0.22983898479211634, 0.23131606005579422, 0.23279992094465476, 0.23430563748843974, 0.23584902821656165, 0.23744692445260704, 0.23911753662906185, 0.24088090475153459, 0.24275943277250869, 0.24477851645870843, 0.24696727977653976, 0.24935943694054827, 0.25199429548518937, 0.25491790778758211, 0.25818435993813366, 0.26185714999403398, 0.26601053979324063, 0.2707306459345809, 0.27611583748819457, 0.28227569286722148, 0.28932729690920572, 0.29738701605170198, 0.30655514419139995, 0.31689024012542932, 0.32837024381985974, 0.34083977018217904, 0.35394890275769858, 0.36709918335044739, 0.37942504420055095, 0.38984578186993746, 0.39721221616326435, 0.400536304444222, 0.39924202122385566, 0.39334220167084549, 0.38345949235902049, 0.3706735099243485, 0.35625644749265339, 0.34140434249588258, 0.32705396958977717, 0.31381650702649749, 0.30200429188711808, 0.29170448943938287, 0.28286017802038188, 0.27533724646091257, 0.26897084270369703, 0.26359353095511917, 0.2590501264013334, 0.2552040171176933, 0.25193859489796144, 0.24915617611692695, 0.24677583667221581, 0.24473094518538202, 0.24296678764490412, 0.24143845369403438, 0.24010903570770292, 0.23894813317515304, 0.23793062962898764, 0.23703570151008965, 0.23624601897101191, 0.23554710286144756, 0.23492680752038758, 0.23437490432435718, 0.23388274570039144, 0.23344299334680657, 0.23304939772087208, 0.23269661852779008, 0.23238007807885483, 0.23209584107635672, 0.23184051571583897, 0.23161117204621756, 0.23140527435502226, 0.23122062499763202, 0.23105531760391393, 0.23090769800293243, 0.23077633152968174, 0.23065997563535115, 0.23055755692858043, 0.23046815194057588, 0.23039097104048828, 0.23032534503585911, 0.23027071408151933, 0.23022661859333768, 0.23019269192395175, 0.23016865460878919, 0.23015431003447881, 0.23014954141993063, 0.23015032400398755, 0.23015267280821528, 0.23015659099123983, 0.23016208382562287, 0.23016915871018617, 0.23017782518733382, 0.23018809496546511, 0.2301999819465671, 0.23021350225911968, 0.23022867429646235, 0.23024551876079619, 0.23026405871302499, 0.23028431962867654, 0.23030632946014465, 0.23033011870558101, 0.23035572048473155, 0.23038317062211211, 0.23041250773791525, 0.23044377334710778, 0.23047701196721487, 0.23051227123533355, 0.23054960203500191, 0.23058905863356535, 0.23063069883079279, 0.23067458411954433, 0.23072077985937936, 0.23076935546408414, 0.23082038460419607, 0.2308739454257171, 0.23093012078631311, 0.23098899851045554, 0.23105067166509155, 0.23111523885760621, 0.23118280455802798, 0.23125347944763003, 0.23132738079633275, 0.23140463287155519, 0.23148536738148201, 0.23156972395602821, 0.23165785066919067, 0.23174990460687805, 0.23184605248481716, 0.23194647132168733, 0.23205134917326786, 0.23216088593410511, 0.23227529421404677, 0.23239480029793191, 0.23251964519783908, 0.23265008580854488, 0.23278639617833163, 0.23292886890897302, 0.23307781670070632, 0.23323357406032119, 0.23339649919318481, 0.23356697610321817, 0.23374541692855325, 0.23393226454503813, 0.23412799547498106, 0.23433312314475188, 0.2345482015422965, 0.23477382933452587, 0.23501065451525344, 0.23525937966727573, 0.23552076793789853, 0.23579564984628942, 0.23608493106438783, 0.23638960134183423, 0.23671074478075904, 0.23704955171029524, 0.23740733246544915, 0.23778553344377645, 0.23818575589999766, 0.23860977804872191, 0.23905958118592505, 0.23953738072029437, 0.24004566323915158, 0.24058723103806515, 0.24116525594311211, 0.2417833447842313, 0.24244561958531743, 0.24315681648997267, 0.24392240873951296, 0.24474876080467245, 0.24564332325511365, 0.24661488144561391, 0.24767387608107611, 0.24883282092761666, 0.25010685351218431, 0.25151447042950487, 0.25307852283147164, 0.25482758476238382, 0.25679786565214513, 0.25903593321147278, 0.261602670647341, 0.26457916160476336, 0.26807567178431546, 0.272245765962004, 0.27730925565832026, 0.283590975911791, 0.29158933112924845, 0.30210404128103341, 0.31648955792672601, 0.33719635514216206, 0.3690313342663103, 0.42237935688894335, 0.52194340964748276, 0.72417868047001255, 1.0093606899021748, 0.78055468715498899, 0.42620254005003477, 0.29419269173259066, 0.24821419528527908, 0.2305585196358749, 0.22343333293236328, 0.22069937550840338, 0.21994539133733879, 0.22011978082876635, 0.2207252416047267, 0.22151135623435281, 0.22234561424103588, 0.2231550137595274, 0.22389794989409062, 0.22455000324444849, 0.22509647372006342, 0.22552834316357087, 0.22584005032521684, 0.22602825750463643, 0.2260911804281853, 0.22602825750463676, 0.22584005032521703, 0.22552834316357093, 0.22509647372006278, 0.2245500032444489, 0.22389794989408937, 0.22315501375952787, 0.22234561424103613, 0.22151135623435408, 0.22072524160472745, 0.22011978082876632, 0.21994539133733823, 0.2206993755084036, 0.22343333293236323, 0.23055851963587959, 0.2482141952852597, 0.29419269173266166, 0.42620254005038172, 0.78055468715507492, 1.0093606899022651, 0.7241786804700826, 0.52194340964754449, 0.42237935688892625, 0.36903133426628865, 0.33719635514215324, 0.3164895579267139, 0.30210404128104223, 0.29158933112924013, 0.28359097591179028, 0.27730925565832315, 0.27224576596200017, 0.26807567178431574, 0.26457916160476597, 0.26160267064734094, 0.25903593321147322, 0.25679786565214502, 0.25482758476238343, 0.25307852283147225, 0.25151447042950459, 0.25010685351218559, 0.24883282092761741, 0.24767387608107566, 0.24661488144561439, 0.24564332325511354, 0.24474876080467189, 0.24392240873951263, 0.24315681648997309, 0.24244561958531788, 0.2417833447842315, 0.24116525594311283, 0.24058723103806548, 0.24004566323915058, 0.2395373807202939, 0.23905958118592555, 0.23860977804872191, 0.2381857558999973, 0.23778553344377659, 0.23740733246544915, 0.2370495517102946, 0.2367107447807584, 0.23638960134183357, 0.23608493106438799, 0.23579564984628934, 0.235520767937899, 0.23525937966727556, 0.23501065451525371, 0.23477382933452584, 0.23454820154229611, 0.23433312314475152, 0.23412799547498145, 0.23393226454503802, 0.23374541692855286, 0.23356697610321828, 0.23339649919318528, 0.23323357406032172, 0.23307781670070635, 0.23292886890897294, 0.23278639617833163, 0.23265008580854443, 0.23251964519783913, 0.23239480029793241, 0.23227529421404655, 0.23216088593410483, 0.23205134917326764, 0.23194647132168744, 0.23184605248481727, 0.23174990460687819, 0.23165785066919053, 0.23156972395602776, 0.2314853673814819, 0.23140463287155535, 0.23132738079633267, 0.23125347944762964, 0.23118280455802787, 0.23111523885760651, 0.23105067166509163, 0.23098899851045504, 0.23093012078631295, 0.23087394542571657, 0.23082038460419596, 0.23076935546408422, 0.23072077985937947, 0.23067458411954408, 0.23063069883079268, 0.23058905863356507, 0.23054960203500163, 0.23051227123533405, 0.23047701196721462, 0.23044377334710825, 0.23041250773791561, 0.23038317062211222, 0.23035572048473141, 0.23033011870558137, 0.2303063294601454, 0.23028431962867638, 0.23026405871302544, 0.23024551876079619, 0.23022867429646235, 0.23021350225911993, 0.23019998194656691, 0.23018809496546502, 0.23017782518733404, 0.23016915871018581, 0.23016208382562309, 0.23015659099123997, 0.23015267280821561, 0.23015032400398766, 0.23014954141992996, 0.23014993268035319, 0.23015110660822849, 0.23015306364344021, 0.23015580451933601, 0.23015933026304386, 0.23016364219591429, 0.23016874193408057, 0.23017463138915212, 0.23018131276902976, 0.2301887885788412, 0.23019706162200446, 0.23020613500140857, 0.23021601212072179, 0.23022669668581122, 0.23023819270628923, 0.23025050449717202, 0.23026363668065833, 0.2302775941880173, 0.23029238226159612, 0.23030800645692567, 0.23032447264495104, 0.23034178701435251, 0.23035995607397597, 0.23037898665536455, 0.23039888591538352, 0.23041966133894057, 0.23044132074179136, 0.23046387227343862, 0.23048732442010281, 0.23051168600777175, 0.23053696620532368, 0.23056317452771155, 0.2305903208392075, 0.23061841535669658, 0.23064746865302291, 0.23067749166036314, 0.23070849567363796, 0.23074049235393693, 0.23077349373195982, 0.23080751221145818, 0.23084256057266039, 0.23087865197568935, 0.23091579996393205, 0.23095401846737526, 0.23099332180587198, 0.23103372469234246, 0.231075242235881, 0.23111788994475829, 0.23116168372930218, 0.23120663990463675, 0.23125277519326706, 0.2313001067274808, 0.23134865205155447, 0.23139842912373873, 0.23144945631800395, 0.23150175242551821, 0.23155533665584513, 0.23161022863781908, 0.23166644842009626, 0.23172401647133894, 0.23178295368001609, 0.23184328135379514, 0.23190502121849535, 0.23196819541658803, 0.23203282650520776, 0.23209893745366503, 0.23216655164042657, 0.23223569284955956, 0.23230638526660571, 0.23237865347389039, 0.23245252244524267, 0.23252801754012958, 0.23260516449720464, 0.23268398942727742, 0.23276451880571877, 0.232846779464326, 0.23293079858268978, 0.23301660367909766, 0.23310422260104918, 0.23319368351544956, 0.23328501489858819, 0.23337824552601244, 0.23347340446243667, 0.23357052105186976, 0.2336696249081375, 0.23377074590606112, 0.23387391417354006, 0.23397916008487959, 0.23408651425570814, 0.23419600753992834, 0.23430767102916469, 0.23442153605527283, 0.23453763419653348, 0.2346559972882373, 0.23477665743848208, 0.23489964705006167, 0.23502499884950703, 0.23515274592439583, 0.23528292177022961, 0.23541556034832783, 0.2355506961563244, 0.23568836431308224, 0.23582860065999703, 0.23597144188091998, 0.23611692564314346, 0.23626509076217117, 0.23641597739328923, 0.23656962725324551, 0.23672608387571328, 0.23688539290458055, 0.23704760242952708, 0.23721276336877181, 0.2373809299044139, 0.23755215997628107, 0.23772651584083257, 0.23790406470228259, 0.23808487942386036, 0.23826903932790017, 0.23845663109435225, 0.23864774976829109, 0.23884249988809819, 0.23904099674726684, 0.23924336780414646, 0.2394497542555899, 0.23966031279225275, 0.23987521755544156, 0.24009466231777296, 0.24031886291277466, 0.24102254799091885, 0.24177955711238711, 0.24260129893686291, 0.24350370549712244, 0.24450908511937319, 0.24564881438510458, 0.24696736357404894, 0.24852853198668279, 0.25042551144692382, 0.25279790730949858, 0.2558621056744807, 0.25996891109721876, 0.26572132755384764, 0.27423816279777752, 0.28781642112123196, 0.31186870201745098, 0.36185342919327135, 0.49427589141678596, 0.84896444468247756, 0.51454578081149704, 0.27074666370287287, 0.22366753050813759, 0.21196650764173963, 0.20869636090422392, 0.20793621853325772, 0.20799849769423537, 0.20831750821424611, 0.20868558383229718, 0.20902427780853183, 0.20930553697401727, 0.20952170396893549, 0.20967327870474917, 0.20976369723151717, 0.20979705870456317, 0.20977714482258134, 0.20970701958885443, 0.20958888980909765, 0.2094240785271588, 0.20921304191387874, 0.20895539709676753, 0.20864994657331687, 0.20829469448533172, 0.20788685628438269, 0.20742286930854337, 0.2068984203024779, 0.20630852079045625, 0.20564768933122793, 0.20491035480049832, 0.20409170610849342, 0.20318944584010942, 0.20220740875453053, 0.20116315100220941, 0.20010437190767891, 0.19914613587655738, 0.19856078159932497, 0.19901431501860203, 0.20226193131878539, 0.21352425161271005, 0.25133236660245167, 0.39590615378094995, 0.85160206274643735, 0.79508341500375268, 0.51061602327637168, 0.39000507153315472, 0.33436849022677906, 0.30417058981806466, 0.28568283050204085, 0.27334208122640818, 0.26455850655463431, 0.25798925589724031, 0.25287735066207701, 0.24876690132686266, 0.24536824863601539, 0.24248900754333408, 0.2399965141660623, 0.23779627296148453, 0.235819030543297, 0.23401273395444847, 0.2323373800898777, 0.2307616541856444, 0.22926073602474373, 0.22781493134962827, 0.22640896897990084, 0.22503195487172492, 0.22367814621158166, 0.22234897248455557, 0.22105721767939673, 0.21983527540835646, 0.21875158278187223, 0.21794449384556391, 0.21769586991503556, 0.21860240416661564, 0.22201109751988118, 0.2312550910187296, 0.25566230774625059, 0.32538293795529277, 0.53950270794231436, 0.90452368407805217, 0.7538031416553258, 0.52454972267882449, 0.41270669987005559, 0.35622668899013749, 0.32407919830361226, 0.30387807937803313, 0.2901975885884322, 0.2803916026427295, 0.27304740001825356, 0.26735358432270889, 0.26281580556221174, 0.25911803494438429, 0.25605007497666848, 0.25346743861166238, 0.25126803476593229, 0.24937804308883005, 0.24774304191999821, 0.24632225771895103, 0.24508473322835933, 0.24400671098174329, 0.24306980758989885, 0.24225971528897663, 0.24156526312110382, 0.24097772879708751, 0.24049032910980536, 0.24009784041246857, 0.23979631620085021, 0.23958287925996641, 0.23945557300130238, 0.23941326169016161, 0.23944146136394392, 0.23952621320390519, 0.23966798062111994, 0.23986755267495211, 0.24012606981403861, 0.24044506132436125, 0.24082649602052966, 0.24127284834834709, 0.2417871828703447, 0.24237326115368871, 0.24303567647257826, 0.24378002361844853, 0.24461311368818855, 0.24554324729794985, 0.24658056470258177, 0.24773749847710128, 0.24902936479771931, 0.25047514460622899, 0.25209852870109922, 0.25392933537477325, 0.25600546275273567, 0.2583756226142237, 0.261103239292856, 0.26427212399861894, 0.26799492102638589, 0.27242599984682958, 0.27778169591915619, 0.28437311475083632, 0.29266124085662387, 0.30335335583636724, 0.31757962048585531, 0.33723319815926528, 0.36566058708097171, 0.40912472563175273, 0.47987760978148103, 0.60088192726150413, 0.79351714208253288, 0.93384420351101216, 0.73888732578560812, 0.47656849358926168, 0.33932479755442035, 0.27697541712977142, 0.2474045889680965, 0.23249183222549796, 0.22462545139446999, 0.22038870548338771, 0.21812999769704328, 0.21699688047813714, 0.21652452649611273, 0.21644771832060197, 0.21660939144961638, 0.21691365237909965, 0.21730048303269167, 0.21773155888498583, 0.21818201489311534, 0.21863551735664422, 0.21908123523532932, 0.21951193510176939, 0.21992275809613954, 0.22031042034771012, 0.2206726816872959, 0.22100798741550093, 0.22131522351655292, 0.22159354736929882, 0.22184226947351179, 0.22206077028141635, 0.22224844184305689, 0.22240464782282357, 0.22252869828405827, 0.22261983800902851, 0.22267724947730161, 0.22270007445048629, 0.222687462051125, 0.22263865728256765, 0.22255315382202936, 0.22243095168633631, 0.22227298969821824, 0.22208187548697478, 0.22186313376296554, 0.22162738169147375, 0.2213942150811575, 0.22119936945408897, 0.22110842803444686, 0.22124431275288323, 0.22184565386315375, 0.2233997664307501, 0.22697342213061719, 0.23513195596232983, 0.25487386082812968, 0.30862965236903755, 0.47786118022222779, 0.88118849062728444, 0.80690583853027753, 0.53495642081313077, 0.41033782798946566, 0.35190259884966657, 0.32034375056274811, 0.30126079111934873, 0.28872016958891666, 0.27995023990788659, 0.27351724332086735, 0.26861718583877542, 0.26476928330793714, 0.26167069543491434, 0.2591223715004734, 0.25698878597028041, 0.25517491320061547, 0.2536124683357438, 0.25225136896451372, 0.25105426002473635, 0.24999290044757805, 0.24904571658440178, 0.24819610676191234, 0.24743124084499585, 0.24674119273355255, 0.24611830077358696, 0.24555668660426744, 0.24505188566554184, 0.24460055745070441, 0.24420025355188529, 0.24384922838709192, 0.24354628229874506, 0.24329063014422322, 0.24308179097398777, 0.24291949617114672, 0.24280361467264688, 0.2427340947167593, 0.2427109220465635], [0.24020934947876998, 0.24024829712985918, 0.24036552451015528, 0.24056220510135137, 0.24084036352307772, 0.24120298413589725, 0.24165417457061436, 0.24219939751186886, 0.24284579090314332, 0.24360260666840469, 0.24448181293538593, 0.24549892769692155, 0.24667418814740635, 0.24803421886846919, 0.24961446043759936, 0.25146278942691308, 0.25364506248764368, 0.25625387573352321, 0.25942291076348734, 0.2633514354276616, 0.26834826452664695, 0.27491542839788441, 0.28391923331828434, 0.29697232060088063, 0.31738714426335168, 0.35291301054286073, 0.4250005992949511, 0.60188781536682157, 0.90417283789955261, 0.5152586385290866, 0.28632414282388974, 0.23401651682602173, 0.22050477277279645, 0.21724397198487702, 0.21724155841018661, 0.21837716015725156, 0.21990880447908004, 0.22155470521830092, 0.22320564364075657, 0.22482250005063062, 0.22639615190702791, 0.22793069650221656, 0.2294361304988583, 0.23092511356439893, 0.23241158724571145, 0.23391027433794792, 0.23543661620600986, 0.23700694352394541, 0.23863878745573769, 0.24035129312387743, 0.24216572572316192, 0.24410607563939302, 0.24619977880814628, 0.24847857510651217, 0.25097953161709918, 0.25374625841609816, 0.25683033967717622, 0.26029298741980778, 0.26420689028538036, 0.26865816013904131, 0.27374815032352545, 0.27959469280406785, 0.28633192301803284, 0.29410726544188542, 0.30307328859997729, 0.31337104280685757, 0.32510045611826466, 0.3382732022972505, 0.35274582175070301, 0.3681381724690308, 0.38375627224738479, 0.39855685242479194, 0.4112026671105502, 0.42024488427551732, 0.42442044926960032, 0.42298314290763955, 0.41593998060767878, 0.40408143511045508, 0.38877948821954061, 0.37163705845474165, 0.35413558684083346, 0.33740336621810418, 0.32214325391238174, 0.30868181765287983, 0.29707391052495413, 0.28720992388280703, 0.27889964883677043, 0.27192745507359989, 0.26608368275067279, 0.26117971909252696, 0.25705324662132029, 0.25356821703712723, 0.25061237055401192, 0.24809388810639327, 0.24593799023429622, 0.24408385028471263, 0.24248195016147917, 0.24109188823707822, 0.23988059685166019, 0.23882090910828446, 0.23789041360082031, 0.23707054178420692, 0.23634584110291626, 0.23570339545697044, 0.23513236215192213, 0.2346236008541969, 0.23416937526662615, 0.23376311238545952, 0.23339920747104831, 0.23307286542613997, 0.23277997127452274, 0.23251698398988974, 0.23228084913794883, 0.23206892674112184, 0.23187893151485731, 0.23170888320434294, 0.23155706520625888, 0.23142199001991254, 0.23130237035710691, 0.23119709496685975, 0.23110520841238991, 0.23102589418352432, 0.23095846064551329, 0.23090232942118111, 0.23085702588212695, 0.2308221714900256, 0.23079747778394683, 0.23078274185643652, 0.23077784320181363, 0.23077864727011482, 0.23078106056127806, 0.23078508633664085, 0.2307907300402961, 0.23079799931193518, 0.23080690400490353, 0.23081745620955973, 0.23082967028203857, 0.23084356287855357, 0.23085915299539722, 0.23087646201482337, 0.23089551375702516, 0.23091633453846189, 0.23093895323679187, 0.23096340136275412, 0.23098971313931357, 0.23101792558848444, 0.23104807862624638, 0.23108021516603927, 0.23111438123135974, 0.23115062607803555, 0.23118900232683773, 0.23122956610711176, 0.23127237721222449, 0.23131749926767611, 0.23136499991281972, 0.23141495099722825, 0.23146742879285132, 0.23152251422322898, 0.23158029311114356, 0.23164085644625493, 0.23170430067441103, 0.23177072801051266, 0.23184024677701093, 0.23191297177033798, 0.23198902465783575, 0.23206853440801831, 0.23215163775733619, 0.23223847971696226, 0.23232921412355026, 0.23242400423835599, 0.23252302339966091, 0.23262645573403329, 0.23273449693265291, 0.23284735509970914, 0.23296525168079341, 0.23308842248023484, 0.23321711877754162, 0.23335160855447101, 0.23349217784588014, 0.23363913222935537, 0.23379279847078654, 0.23395352634560226, 0.23412169065833249, 0.23429769348668086, 0.23448196668038421, 0.23467497465002493, 0.23487721748674248, 0.23508923446067406, 0.23531160795420442, 0.23554496789598817, 0.23578999677362619, 0.23604743531727582, 0.2363180889640073, 0.23660283523406395, 0.2369026321763549, 0.23721852807277866, 0.23755167263081348, 0.23790332994347418, 0.23827489355770384, 0.23866790407029392, 0.2390840697690127, 0.23952529096209105, 0.23999368879989791, 0.2404916395996966, 0.24102181595330749, 0.24158723624917805, 0.24219132470405891, 0.24283798461597045, 0.24353168837707079, 0.24427758890476356, 0.24508165868106982, 0.2459508647079986, 0.24689339064879443, 0.24791892161979631, 0.24903901311804899, 0.25026757433565089, 0.25162150907576075, 0.25312157698538795, 0.25479356769874117, 0.25666992719981163, 0.2587920503882174, 0.26121357615783625, 0.26400522717740571, 0.26726209366700587, 0.2711149011111561, 0.2757479956074943, 0.28142910254824594, 0.28856065717993112, 0.29777275063148473, 0.31010133245733612, 0.32735379697531647, 0.35292136184283984, 0.39375666699988393, 0.46562926451712633, 0.60686353564129003, 0.88125500751941943, 1.004772785668459, 0.58695347058364233, 0.34985336324971755, 0.26886681962068687, 0.23925049707732926, 0.22747938455981542, 0.22275292965703594, 0.22109596916109464, 0.22086108298481108, 0.22129898962612068, 0.22204347488845227, 0.22290515956570467, 0.22378155649775244, 0.22461505064564996, 0.22537215371931843, 0.22603280301936202, 0.22658465112009407, 0.22701994292100738, 0.22733378220008818, 0.22752316756204083, 0.2275864685613446, 0.22752316756204111, 0.22733378220008843, 0.22701994292100744, 0.22658465112009354, 0.22603280301936235, 0.22537215371931715, 0.22461505064565043, 0.2237815564977528, 0.22290515956570595, 0.22204347488845316, 0.22129898962612057, 0.22086108298481025, 0.22109596916109475, 0.22275292965703597, 0.22747938455981895, 0.23925049707731721, 0.26886681962073128, 0.34985336324992689, 0.58695347058371017, 1.0047727856682436, 0.88125500751949581, 0.60686353564138584, 0.46562926451710041, 0.39375666699985568, 0.3529213618428278, 0.32735379697530176, 0.31010133245734672, 0.29777275063147479, 0.28856065717993018, 0.28142910254824893, 0.27574799560749014, 0.27111490111115633, 0.26726209366700882, 0.26400522717740549, 0.2612135761578368, 0.2587920503882174, 0.25666992719981108, 0.25479356769874195, 0.25312157698538762, 0.25162150907576208, 0.25026757433565155, 0.24903901311804849, 0.24791892161979687, 0.2468933906487944, 0.24595086470799793, 0.24508165868106943, 0.24427758890476398, 0.24353168837707126, 0.24283798461597075, 0.24219132470405974, 0.24158723624917836, 0.24102181595330649, 0.24049163959969608, 0.23999368879989844, 0.23952529096209108, 0.2390840697690122, 0.23866790407029417, 0.23827489355770368, 0.23790332994347349, 0.23755167263081284, 0.23721852807277793, 0.23690263217635504, 0.23660283523406389, 0.2363180889640078, 0.23604743531727568, 0.23578999677362653, 0.23554496789598808, 0.23531160795420403, 0.23508923446067365, 0.23487721748674287, 0.2346749746500249, 0.23448196668038393, 0.23429769348668106, 0.23412169065833288, 0.23395352634560285, 0.23379279847078657, 0.23363913222935531, 0.23349217784588014, 0.23335160855447057, 0.23321711877754167, 0.23308842248023531, 0.2329652516807931, 0.23284735509970886, 0.23273449693265277, 0.23262645573403343, 0.23252302339966111, 0.23242400423835616, 0.23232921412355001, 0.23223847971696179, 0.23215163775733619, 0.23206853440801836, 0.23198902465783572, 0.23191297177033762, 0.2318402467770109, 0.23177072801051293, 0.23170430067441125, 0.23164085644625446, 0.23158029311114345, 0.23152251422322839, 0.23146742879285112, 0.23141495099722839, 0.23136499991281981, 0.23131749926767586, 0.23127237721222435, 0.23122956610711151, 0.23118900232683762, 0.2311506260780361, 0.23111438123135949, 0.23108021516603977, 0.23104807862624677, 0.23101792558848452, 0.23098971313931338, 0.23096340136275437, 0.23093895323679256, 0.23091633453846167, 0.23089551375702561, 0.23087646201482337, 0.23085915299539722, 0.23084356287855376, 0.23082967028203841, 0.23081745620955968, 0.2308069040049037, 0.23079799931193484, 0.23079073004029618, 0.23078508633664116, 0.23078106056127839, 0.23077864727011488, 0.23077784320181294, 0.23077824520331947, 0.23077945135907299, 0.23078146212284703, 0.23078427825115017, 0.23078790080356129, 0.23079233114319822, 0.23079757093731074, 0.2308036221580152, 0.23081048708315818, 0.23081816829730781, 0.23082666869288085, 0.23083599147139472, 0.23084614014485547, 0.23085711853726371, 0.23086893078625637, 0.23088158134486941, 0.2308950749834266, 0.23090941679154861, 0.23092461218028826, 0.23094066688437362, 0.23095758696458413, 0.23097537881022739, 0.23099404914173291, 0.23101360501335758, 0.23103405381599373, 0.23105540328008353, 0.23107766147862568, 0.23110083683029015, 0.23112493810261148, 0.23114997441527441, 0.23117595524348236, 0.23120289042140071, 0.23123079014566963, 0.23125966497898054, 0.23128952585371693, 0.23132038407563421, 0.23135225132759413, 0.23138513967332228, 0.23141906156120032, 0.23145402982807098, 0.23149005770304301, 0.23152715881130367, 0.23156534717790145, 0.2316046372315104, 0.23164504380814416, 0.23168658215482313, 0.23172926793316634, 0.23177311722289992, 0.2318181465252645, 0.23186437276630367, 0.23191181330002081, 0.23196048591137702, 0.23201040881912022, 0.23206160067841822, 0.23211408058328192, 0.23216786806874973, 0.23222298311282299, 0.23227944613811252, 0.23233727801319495, 0.23239650005364015, 0.23245713402269322, 0.23251920213159052, 0.23258272703948024, 0.23264773185293874, 0.23271424012504635, 0.23278227585402006, 0.23285186348137124, 0.23292302788958882, 0.23299579439931917, 0.23307018876605259, 0.23314623717629818, 0.23322396624325561, 0.23330340300199251, 0.23338457490413908, 0.23346750981212544, 0.23355223599299357, 0.23363878211183592, 0.2337271772249078, 0.23381745077249913, 0.23390963257164887, 0.23400375280882035, 0.23409984203266807, 0.23419793114705276, 0.23429805140450957, 0.23440023440036931, 0.23450451206781739, 0.23461091667417303, 0.23471948081875271, 0.23483023743270673, 0.23494321978130694, 0.23505846146919368, 0.23517599644919804, 0.23529585903541356, 0.23541808392128824, 0.23554270620362247, 0.23566976141343027, 0.23579928555480736, 0.23593131515301796, 0.23606588731320177, 0.23620303979126972, 0.23634281107870467, 0.236485240503228, 0.23663036834746676, 0.23677823598803566, 0.23692888605768023, 0.2370823626334331, 0.23723871145405631, 0.23739798017036498, 0.23756021863243154, 0.23772547921807533, 0.23789381720750566, 0.23806529120946485, 0.23823996364480712, 0.2384179012940153, 0.23859917591586108, 0.23878386494512244, 0.23897205227812046, 0.23916382915573151, 0.23935929515455753, 0.23955855929807968, 0.23976174130089148, 0.23996897296059203, 0.24018039971351968, 0.24039618237244142, 0.24061649906641722, 0.24084154740560015, 0.24107154689654284, 0.24130674163699511, 0.24204637284187491, 0.24284461497835358, 0.24371428242317017, 0.24467325154122055, 0.24574656916812368, 0.24696954891773842, 0.24839245746713767, 0.25008787112204112, 0.25216272581054994, 0.25477903925727452, 0.25819159568486016, 0.26282111696191568, 0.26940801151530619, 0.27936881713800094, 0.29573394230919547, 0.32606359153704934, 0.39373406031387403, 0.58963597486739772, 0.88257457108203019, 0.38987240061826262, 0.24837645543835696, 0.21898175882058013, 0.21120128468682017, 0.20904873605211227, 0.20865031965865419, 0.20883015142622274, 0.20917904470432391, 0.20954418914386963, 0.20986818264942217, 0.21013148964009468, 0.2103299589338809, 0.21046548617274208, 0.21054199026103487, 0.21056365986702102, 0.21053420610736082, 0.21045656908977112, 0.21033282748693047, 0.2101641942113254, 0.2099510430259304, 0.20969294036125674, 0.20938867118486298, 0.20903625559199893, 0.20863295797396847, 0.20817529573725582, 0.20765906194242473, 0.2070793891928473, 0.20643090649465268, 0.20570808826942344, 0.20490598963424597, 0.20402175796505928, 0.20305773044111336, 0.20202786785233481, 0.2009715004911368, 0.19998398375098445, 0.19928923583880101, 0.19942548537194224, 0.20177334294496685, 0.21028055155276745, 0.23821814307990144, 0.34042556801405305, 0.72093958565344407, 0.90181511940615089, 0.57094355766372329, 0.41630922828691147, 0.34815594965240126, 0.31260117070271143, 0.2914434646368893, 0.27760976769030105, 0.26791674184052905, 0.26075632815917971, 0.25524037457550669, 0.25084266553833245, 0.24723330809337629, 0.24419564339822938, 0.24158170245343361, 0.23928697438972724, 0.23723543950325288, 0.23537034143118776, 0.23364831610998688, 0.23203557108847181, 0.23050537955478972, 0.22903647635977342, 0.2276121453493658, 0.22621993967459517, 0.22485213184498742, 0.223507208056065, 0.22219310329273562, 0.22093363224965284, 0.21978119975295021, 0.21884260975686068, 0.21833397184569653, 0.21870512200110495, 0.22094530242988986, 0.22741478484978611, 0.2444122422242386, 0.29131194197023752, 0.43477667128987235, 0.80179520440776919, 0.86726195990632871, 0.59489287476364483, 0.44599684187979644, 0.37396322678527144, 0.33476986069723191, 0.31097608846998409, 0.29527267639330285, 0.28423503993481891, 0.27609321414316929, 0.26985666139820069, 0.26493439487515907, 0.26095501888228018, 0.25767498385451737, 0.25492884809147393, 0.25260087677471915, 0.2506080914517862, 0.24888976085129552, 0.24740066603142491, 0.24610665731899689, 0.24498164725577784, 0.24400552891936206, 0.24316270590447536, 0.24244103620956198, 0.24183106253317924, 0.24132544517527696, 0.24091854156742556, 0.24060609459044485, 0.24038500392643222, 0.24025316295041879, 0.24020934947876998, 0.24023855003092245, 0.24032631649552022, 0.24047314872096909, 0.24067989808319251, 0.24094779569839297, 0.24127849352038824, 0.24167412006766589, 0.24213735324864247, 0.24267151367773054, 0.24328068308563222, 0.2439698540452486, 0.24474511943214095, 0.24561391306634831, 0.24658531721196836, 0.24767045860044989, 0.24888302324561121, 0.25023993285726603, 0.25176224422812588, 0.25347636093508885, 0.25541568959693955, 0.25762294006331615, 0.26015337626393775, 0.26307950024031207, 0.26649794734074744, 0.27053988159200992, 0.27538709260775857, 0.28129768229441099, 0.28864847180766351, 0.29800776169109133, 0.31026573446165806, 0.32687987652428652, 0.35036207272549985, 0.38529708171397514, 0.4405389072941604, 0.53358081006337099, 0.69315952673762227, 0.90190918213295235, 0.88344357521703876, 0.59370731750045502, 0.39365456781889729, 0.30153581405340779, 0.25936282930310783, 0.23880502399833187, 0.22821500337763617, 0.22257813725564615, 0.21956436949206404, 0.21801079661872735, 0.21730070917383773, 0.21709022717312762, 0.21717954513261378, 0.21744859619229101, 0.21782322597995807, 0.21825661224261303, 0.21871866672080503, 0.21918978962098998, 0.21965708326003974, 0.22011199904220921, 0.22054884305053871, 0.22096380855483316, 0.22135433885760036, 0.22171870118724563, 0.22205569770364519, 0.22236446692771933, 0.22264434563518767, 0.22289477174665748, 0.22311521547918167, 0.22330513047180378, 0.22346391966658274, 0.22359091300725839, 0.22368535593370437, 0.22374640956242972, 0.22377316573811698, 0.22376468333436075, 0.22372005707178411, 0.22363853805583717, 0.22351973860578173, 0.22336397715178971, 0.22317286038766698, 0.22295027593350988, 0.22270411300986115, 0.22244931217463726, 0.22221342594139429, 0.22204711943905922, 0.22204487153275415, 0.22238799517514393, 0.2234400448645564, 0.22597622949231524, 0.23179415256333977, 0.24556318825109827, 0.2813816846549641, 0.38954991189447624, 0.72281885943856417, 0.93131394945646195, 0.6205606906764165, 0.44769483231903762, 0.37078612174869457, 0.33144261393658908, 0.30858294600103126, 0.29398949988314982, 0.2840018274783313, 0.27679561743777897, 0.27137728523094623, 0.26716629768980721, 0.26380377678340211, 0.2610574396241031, 0.25877114115876326, 0.25683656435842545, 0.25517657488368778, 0.2537350345111658, 0.25247034786429556, 0.2513512487748199, 0.25035397433189621, 0.24946032329871304, 0.24865629210070292, 0.24793109608842906, 0.24727645250868258, 0.24668604402652522, 0.24615510850161901, 0.24568011817524898, 0.24525852305906279, 0.24488854127384388, 0.24456898466315788, 0.24429911199415283, 0.24407850494075944, 0.24390696411909046, 0.2437844238946672, 0.24371088562611121, 0.24368636953981146], [0.2409840287841456, 0.24102437585848849, 0.24114582862565825, 0.24134964372108991, 0.24163799053645976, 0.24201406973452161, 0.2424822920363538, 0.24304853225976128, 0.24372048135292385, 0.24450813050849818, 0.24542443856190541, 0.24648626044629027, 0.24771565681275812, 0.24914177422453473, 0.25080360208722802, 0.25275411550993376, 0.25506667908364061, 0.25784527248933259, 0.2612414452118843, 0.26548369336133859, 0.27093108094329588, 0.27817742912776938, 0.28826981357300985, 0.30321232631373857, 0.327274944385399, 0.37094429582091237, 0.46496729226887035, 0.70342871741251833, 0.86965377489833418, 0.41115609598631525, 0.26352553920563532, 0.2288009866601633, 0.21963073350360232, 0.21768060279518256, 0.21812140630787547, 0.2194103658631576, 0.22098940200508174, 0.22264299222419967, 0.22428790639557702, 0.22589578895591353, 0.22746211306408137, 0.22899296616886045, 0.23049922690844121, 0.23199399260865194, 0.2334915073812085, 0.2350068146858201, 0.23655577901825195, 0.23815531273788121, 0.23982373537071444, 0.24158123873281206, 0.24345045618024627, 0.24545714940105076, 0.24763103670324674, 0.25000679510176754, 0.25262527535214763, 0.25553497369255529, 0.25879380394736928, 0.26247120354772574, 0.26665057699502459, 0.27143201253366911, 0.27693507176461402, 0.28330119768759987, 0.29069483809406715, 0.2993016354147966, 0.30932088426740589, 0.32094787877549275, 0.33434003517325972, 0.34955976760828661, 0.36648927159815692, 0.38472129239513614, 0.4034489610675982, 0.42140456119350433, 0.43691648163244606, 0.4481385942654999, 0.45343939885080947, 0.45184206321330189, 0.44334226597801296, 0.42895276385659031, 0.41043618188747089, 0.38983625070366063, 0.36900934811380004, 0.34932692087467232, 0.33159850743647828, 0.31615544700720194, 0.30299973432067306, 0.2919467704981708, 0.28273083678969452, 0.2750704166322866, 0.26870259771375371, 0.26339758522264267, 0.25896201754701892, 0.25523676795592792, 0.25209252807144206, 0.24942490027734221, 0.24714980440494785, 0.24519950600539822, 0.24351932570179044, 0.24206497866736171, 0.24080045357634819, 0.23969633453982775, 0.23872847819288823, 0.23787697159373641, 0.23712531045427807, 0.23645974960861274, 0.23586878798398306, 0.23534275868840779, 0.23487350141759614, 0.23445409951657872, 0.23407866800181518, 0.23374218190920976, 0.23344033668847042, 0.23316943417755306, 0.23292628908941734, 0.23270815202449521, 0.23251264586070741, 0.23233771302537887, 0.23218157166320194, 0.23204267911433538, 0.231919701431956, 0.23181148791816128, 0.23171704985578692, 0.23163554277271489, 0.2315662517033355, 0.23150857901571478, 0.23146203445805447, 0.23142622714830485, 0.2314008592896333, 0.23138572144451822, 0.23138068924365934, 0.23138151537016302, 0.23138399487133321, 0.23138813111481427, 0.23139392972223699, 0.23140139858260728, 0.23141054787112497, 0.23142139007353613, 0.23143394001611836, 0.23144821490144576, 0.23146423435009961, 0.23148202044851832, 0.23150159780321067, 0.23152299360160394, 0.23154623767979193, 0.23157136259755054, 0.23159840372094812, 0.23162739931299314, 0.23165839063275245, 0.23169142204345727, 0.23172654113014907, 0.23176379882747333, 0.23180324955832088, 0.23184495138403924, 0.2318889661670549, 0.23193535974681037, 0.23198420213001306, 0.23203556769630154, 0.23208953542054167, 0.23214618911309803, 0.23220561767955228, 0.23226791540150971, 0.23233318224029947, 0.23240152416556681, 0.23247305351097813, 0.2325478893594925, 0.23262615796094138, 0.23270799318494584, 0.23279353701256561, 0.23288294007044852, 0.23297636221171489, 0.23307397314829281, 0.23317595314000522, 0.23328249374636564, 0.23339379864778215, 0.23351008454372296, 0.23363158213639032, 0.23375853720956447, 0.23389121181360673, 0.23402988556909524, 0.23417485710334407, 0.23432644563608279, 0.23448499273294601, 0.23465086424821938, 0.23482445248153708, 0.23500617857708844, 0.23519649519840771, 0.23539588951722079, 0.23560488656120485, 0.23582405297315018, 0.23605400124315506, 0.23629539448647427, 0.23654895185290328, 0.23681545466964052, 0.23709575343915909, 0.23739077583751722, 0.2377015358879043, 0.2380291445204975, 0.23837482177460839, 0.23873991095519809, 0.23912589512602556, 0.23953441641029138, 0.23996729868189784, 0.24042657437373188, 0.24091451631344032, 0.24143367573513835, 0.24198692792561988, 0.24257752737068719, 0.24320917480599474, 0.24388609929607438, 0.24461315943425033, 0.24539596907449698, 0.24624105481872677, 0.24715605500240073, 0.24814997346579087, 0.24923350644902537, 0.25041946824676453, 0.25172335196150508, 0.25316407764894644, 0.2547650043543439, 0.25655531997661296, 0.25857198203576576, 0.26086247803132007, 0.26348883267446843, 0.26653355993885475, 0.27010873469641816, 0.27437022917798254, 0.27954081378979267, 0.28594911248816213, 0.29409829859727704, 0.3047937561234409, 0.31939547069864344, 0.34035497491052114, 0.37245994991805237, 0.42600177735691147, 0.525378800683592, 0.72729601149781775, 1.030466665312558, 0.83217074374591227, 0.45021456188868109, 0.30396731842051866, 0.25310973579600837, 0.23360476286955542, 0.22570585204657662, 0.22263862277006491, 0.22175493538707219, 0.22190339648105273, 0.22254031164397886, 0.22339189074826318, 0.22431300758067366, 0.22522340261771881, 0.22607701990346477, 0.22684651910902773, 0.22751514158245489, 0.22807231126366564, 0.2285112071308788, 0.22882740960924319, 0.22901814754628505, 0.2290818902776646, 0.22901814754628541, 0.22882740960924344, 0.22851120713087894, 0.22807231126366506, 0.22751514158245525, 0.22684651910902651, 0.22607701990346526, 0.22522340261771912, 0.22431300758067496, 0.22339189074826404, 0.22254031164397872, 0.22190339648105176, 0.22175493538707231, 0.22263862277006477, 0.22570585204657917, 0.23360476286954721, 0.25310973579603779, 0.30396731842064528, 0.45021456188872355, 0.83217074374554478, 1.0304666653125758, 0.72729601149794632, 0.52537880068355902, 0.42600177735687478, 0.37245994991803671, 0.34035497491050376, 0.31939547069865604, 0.30479375612342968, 0.29409829859727571, 0.28594911248816562, 0.27954081378978785, 0.27437022917798265, 0.27010873469642127, 0.26653355993885441, 0.26348883267446904, 0.26086247803132012, 0.25857198203576531, 0.25655531997661368, 0.25476500435434357, 0.25316407764894783, 0.25172335196150575, 0.25041946824676398, 0.24923350644902581, 0.24814997346579082, 0.24715605500240001, 0.24624105481872638, 0.24539596907449746, 0.24461315943425077, 0.2438860992960746, 0.24320917480599558, 0.24257752737068747, 0.24198692792561891, 0.24143367573513783, 0.24091451631344085, 0.24042657437373197, 0.2399672986818974, 0.2395344164102915, 0.23912589512602539, 0.23873991095519745, 0.23837482177460786, 0.23802914452049687, 0.23770153588790446, 0.23739077583751719, 0.23709575343915962, 0.23681545466964038, 0.23654895185290367, 0.23629539448647424, 0.23605400124315476, 0.23582405297314979, 0.23560488656120535, 0.23539588951722065, 0.23519649519840735, 0.23500617857708861, 0.23482445248153752, 0.23465086424821999, 0.23448499273294598, 0.23432644563608276, 0.23417485710334404, 0.23402988556909479, 0.23389121181360692, 0.23375853720956488, 0.23363158213639007, 0.23351008454372257, 0.23339379864778192, 0.23328249374636578, 0.23317595314000539, 0.23307397314829295, 0.23297636221171467, 0.23288294007044802, 0.23279353701256558, 0.23270799318494587, 0.23262615796094133, 0.23254788935949219, 0.23247305351097805, 0.23240152416556714, 0.2323331822402997, 0.23226791540150923, 0.23220561767955203, 0.23214618911309753, 0.2320895354205415, 0.23203556769630176, 0.23198420213001314, 0.23193535974681009, 0.23188896616705484, 0.23184495138403891, 0.23180324955832077, 0.23176379882747389, 0.2317265411301489, 0.23169142204345783, 0.23165839063275281, 0.23162739931299325, 0.23159840372094803, 0.23157136259755071, 0.23154623767979265, 0.23152299360160367, 0.23150159780321117, 0.23148202044851829, 0.23146423435009969, 0.23144821490144588, 0.23143394001611814, 0.23142139007353607, 0.23141054787112517, 0.23140139858260694, 0.2313939297222371, 0.23138813111481449, 0.23138399487133363, 0.23138151537016305, 0.2313806892436587, 0.23138110227319267, 0.23138234151783701, 0.23138440744579394, 0.23138730083763293, 0.23139102278664578, 0.23139557469934241, 0.23140095829607985, 0.23140717561183977, 0.23141422899714406, 0.23142212111910512, 0.23143085496262128, 0.23144043383170426, 0.23145086135095153, 0.23146214146714511, 0.23147427845099455, 0.23148727689900911, 0.23150114173550626, 0.23151587821474728, 0.23153149192321032, 0.23154798878197919, 0.23156537504927505, 0.2315836573230986, 0.23160284254399918, 0.23162293799796524, 0.23164395131942828, 0.23166589049438305, 0.23168876386361234, 0.23171258012602905, 0.23173734834210979, 0.23176307793743212, 0.2317897787063066, 0.23181746081549642, 0.23184613480801966, 0.23187581160702736, 0.23190650251976144, 0.23193821924156488, 0.23197097385995993, 0.23200477885876788, 0.23203964712227548, 0.2320755919394332, 0.23211262700806887, 0.23215076643912763, 0.23219002476089876, 0.232230416923245, 0.23227195830180009, 0.23231466470213993, 0.23235855236390168, 0.23240363796483965, 0.23244993862480556, 0.23249747190963255, 0.23254625583491631, 0.23259630886966068, 0.23264764993978579, 0.2327002984314688, 0.23275427419430605, 0.23280959754427025, 0.23286628926645375, 0.23292437061755839, 0.23298386332813689, 0.23304478960454458, 0.23310717213059079, 0.23317103406887155, 0.2332363990617555, 0.23330329123201979, 0.23337173518310164, 0.23344175599896833, 0.23351337924357579, 0.23358663095992446, 0.23366153766868514, 0.23373812636641303, 0.23381642452333731, 0.23389646008074108, 0.23397826144794848, 0.23406185749893971, 0.23414727756862727, 0.23423455144883673, 0.23432370938405489, 0.23441478206700553, 0.23450780063415128, 0.23460279666122053, 0.23469980215889602, 0.23479884956881317, 0.2348999717600451, 0.23500320202630531, 0.23510857408409119, 0.23521612207208262, 0.23532588055211046, 0.2354378845120946, 0.23555216937137824, 0.23566877098898334, 0.23578772567534112, 0.23590907020817092, 0.23603284185324058, 0.23615907839084713, 0.23628781814898001, 0.2364191000442073, 0.2365529636315232, 0.23668944916447235, 0.23682859766707132, 0.23697045101922665, 0.23711505205750905, 0.23726244469341345, 0.23741267405141814, 0.23756578662946476, 0.23772183048473527, 0.23788085544793408, 0.23804291336963992, 0.23820805840264389, 0.23837634732464316, 0.23854783990609948, 0.23872259932859904, 0.23890069265957825, 0.23908219138994247, 0.2392671720417443, 0.23945571685388173, 0.23964791455458498, 0.23984386123042684, 0.24004366130261473, 0.24024742862251022, 0.2404552876996392, 0.24066737507693681, 0.24088384086969697, 0.24110485048658295, 0.24133058655331521, 0.24156125106215509, 0.24179706777329793, 0.24203828489764267, 0.24228517809446443, 0.24306315563052777, 0.24390556428792215, 0.244826801173961, 0.24584694299699397, 0.24699415453417548, 0.24830826453458205, 0.24984624515316542, 0.25169093256731778, 0.25396553174348063, 0.25685899698900189, 0.26067313056670877, 0.2659162770495988, 0.27350619342496579, 0.28525873397817203, 0.30523990005602147, 0.34426298111515352, 0.43875595230527809, 0.72632327194596891, 0.73149016612410167, 0.31786921091601722, 0.23505035172417071, 0.21614278044027263, 0.21092218059156687, 0.20953970018816911, 0.2093944583070704, 0.20965341065082305, 0.21001764439107201, 0.21037432384918173, 0.21068170677175513, 0.21092665409805328, 0.21110763378408628, 0.21122755185365366, 0.21129064002615749, 0.21130110240839955, 0.21126254914037551, 0.21117778591492381, 0.21104876148110002, 0.21087658024277736, 0.21066153603648993, 0.21040314671587323, 0.21010018091887236, 0.20975067476913328, 0.20935194058418377, 0.20890057404789711, 0.20839247274610115, 0.20782289027776304, 0.20718657135365504, 0.20647805424934618, 0.20569230817368028, 0.20482603892194029, 0.20388034711302963, 0.20286619878896928, 0.20181597292172351, 0.20080882067124164, 0.20002951159763807, 0.19991541893862746, 0.20156116629294288, 0.20798576375386219, 0.2288356999966682, 0.30177789958628043, 0.5873608470383771, 0.97583864321439584, 0.64877229678865167, 0.44917425163332636, 0.3645344947127806, 0.32223958845078537, 0.29784465757199352, 0.28225000934031985, 0.2715062204899199, 0.26367350629124064, 0.25770367199822092, 0.2529863871827972, 0.2491444068196482, 0.24593288099778876, 0.24318626222363932, 0.24078864491806384, 0.23865637462328901, 0.23672742866492047, 0.23495471031318621, 0.23330170408420342, 0.23173962172750334, 0.23024554622421634, 0.22880130866265416, 0.22739299227255, 0.22601110333835528, 0.22465163321931264, 0.22331853964632059, 0.22202875796303886, 0.22082207254283226, 0.21978091054964644, 0.21907166303201592, 0.21903602813908532, 0.22040848933884577, 0.22488518456104079, 0.23679824789163492, 0.26879107379849748, 0.36350518621315397, 0.64966091950983385, 0.94276818322496636, 0.68814205407800344, 0.48969353514405844, 0.39603085298220675, 0.34748411027857584, 0.31912848584112496, 0.30094538633758139, 0.2884389315765194, 0.27936631933592548, 0.27250738072340897, 0.26715045546709049, 0.26285648418335111, 0.25934188355561444, 0.25641643712890255, 0.25394848558519134, 0.25184447905341323, 0.25003647225864678, 0.24847420575948395, 0.24711993627777129, 0.24594497015615646, 0.24492728331572555, 0.24404985290305947, 0.24329946658749751, 0.24266585988654168, 0.24214108390340305, 0.24171903870568576, 0.24139512881099587, 0.24116601130031354, 0.24102941661755203, 0.2409840287841456, 0.24101427830257277, 0.24110520468108343, 0.24125734733356335, 0.24147162534121294, 0.24174936841282291, 0.24209236204490459, 0.24250290886690054, 0.24298390898599706, 0.2435389632106269, 0.24417250443376187, 0.24488996434070207, 0.2456979851789978, 0.24660468989464718, 0.24762002895275595, 0.24875622931000782, 0.25002838134950522, 0.25145521478517224, 0.25306013723976623, 0.25487264370492452, 0.25693025855972723, 0.25928125642267585, 0.26198854504620694, 0.26513532070875856, 0.26883349417783314, 0.27323656683137404, 0.27855987563860518, 0.28511346390365816, 0.29335743184390034, 0.30399907602809151, 0.31817153477894738, 0.33777990510064609, 0.36620986710651993, 0.40985075743834443, 0.48137986655860809, 0.60522856582289086, 0.80665326520903813, 0.95681746158839931, 0.74775911140385498, 0.47583978901330692, 0.33787919927614996, 0.27627401176984856, 0.24735385095357265, 0.23288477412468642, 0.22531542741405364, 0.22128303810103245, 0.21917041401057416, 0.21814598789647616, 0.21775770937038932, 0.21774836928576161, 0.21796606467922877, 0.21831832314943078, 0.21874745582440147, 0.21921676504735926, 0.2197025503953037, 0.22018933226407372, 0.22066692137995172, 0.22112857873430755, 0.22156983644196898, 0.2219877283945503, 0.22238028014335245, 0.22274616569113342, 0.22308447343870413, 0.22339454450910159, 0.22367585967006912, 0.22392795929628695, 0.2241503861290802, 0.22434264412846033, 0.22450416917029259, 0.22463430918040866, 0.22473231285184342, 0.22479732764894753, 0.22482840967320611, 0.22482455056445777, 0.22478473057610465, 0.22470801336359536, 0.22459370874499951, 0.22444164816543158, 0.22425265028747271, 0.2240293135977246, 0.22377738442722436, 0.22350816513175467, 0.22324286362393633, 0.22302070634324647, 0.22291468390592659, 0.22306363672055751, 0.2237416816362921, 0.22552005670862196, 0.22968139638887891, 0.23941365425146155, 0.26380435750165815, 0.3336191816768766, 0.56182733687623643, 0.96696786383681377, 0.73698270196097027, 0.49835887629411296, 0.39475868488057819, 0.34480045781998125, 0.31705403036169844, 0.29990839645698236, 0.28845189372372659, 0.28033461031153667, 0.27431680609465003, 0.26969210006135352, 0.26603253694895379, 0.26306564169900193, 0.26061072225208359, 0.25854384631746857, 0.25677759770284464, 0.25524886769560085, 0.25391121842522418, 0.25272995189171826, 0.25167883562464655, 0.25073787310188039, 0.24989175014211373, 0.2491287283922807, 0.24843984009624465, 0.24781828908067211, 0.24725899475470284, 0.24675823646608533, 0.24631336917303398, 0.24592259067128308, 0.24558474711556541, 0.24529916823332526, 0.24506552701140269, 0.24488372108045675, 0.24475377472853527, 0.24467576157120671, 0.24464974848570872], [0.24201216632803024, 0.24205403866845526, 0.24218009721478062, 0.24239169057099266, 0.24269114836286285, 0.24308191091633502, 0.24356872526480439, 0.24415792437225264, 0.24485781530684017, 0.24567921510230828, 0.24663619280168664, 0.24774710706030989, 0.24903607827599425, 0.25053511608045681, 0.25228726225424092, 0.25435135380703822, 0.25680945706526781, 0.25977887153998724, 0.26343229284077896, 0.26803328556766243, 0.27400222234352833, 0.28204727064163104, 0.29344668719324257, 0.31072237648608658, 0.33946774351338704, 0.39416451957654025, 0.51960116187058636, 0.82552632022579908, 0.7282554669946335, 0.34348399990050693, 0.24900370660494592, 0.22565648743025579, 0.21950220498702674, 0.2185077109548027, 0.21928053527948757, 0.22068540322317215, 0.22229977139242552, 0.22395851325211263, 0.22559861718917659, 0.22720024385463075, 0.22876255576507964, 0.23029327100418576, 0.23180402600095973, 0.23330833820427138, 0.23482078867942507, 0.23635680491087416, 0.23793275845226733, 0.23956624674362623, 0.24127650375987317, 0.2430849233229887, 0.24501570137602166, 0.24709661845776676, 0.24935999550176075, 0.25184386704689743, 0.25459342671387591, 0.2576628098163789, 0.26111728491168884, 0.2650359245986969, 0.26951480515975179, 0.2746707242785742, 0.28064528898640279, 0.28760894797596082, 0.29576401869862756, 0.30534483467738061, 0.3166116198827269, 0.32983244776704546, 0.34524486043336017, 0.3629865598623328, 0.38298611384468467, 0.40481545551232062, 0.42753215064319944, 0.44957924472705474, 0.46884192764134414, 0.48294120039124566, 0.48974893464870017, 0.48797474717745459, 0.47759302943182591, 0.4599102646844776, 0.43721452879299605, 0.41214565511741907, 0.38706277148986662, 0.36365336401122256, 0.34285296376099039, 0.32498198882818091, 0.30995900056247627, 0.29749245403758917, 0.28721406384827686, 0.27875584196446856, 0.27178687637690441, 0.26602597656748456, 0.26124178506277146, 0.25724739674157721, 0.25389327566368014, 0.25106028420968973, 0.24865355949932905, 0.24659743248192711, 0.2448313426960621, 0.24330661121712241, 0.2419839157826475, 0.24083132409862446, 0.23982276366712638, 0.23893682996789603, 0.23815585580290977, 0.23746518199670838, 0.23685258348802038, 0.23630781562294018, 0.235822253737549, 0.23538860543092038, 0.23500067972796773, 0.2346532009754769, 0.23434165808425791, 0.23406218183968927, 0.23381144461420744, 0.23358657805044325, 0.23338510523430173, 0.23320488461205827, 0.23304406347607345, 0.23290103928880659, 0.23277442746380292, 0.23266303449735101, 0.23256583556245075, 0.23248195585047235, 0.23241065508529418, 0.23235131474737816, 0.23230342763714332, 0.23226658948270448, 0.23224049236024127, 0.2322249197488804, 0.23221974308835625, 0.23222059305574907, 0.23222314411787515, 0.23222739975736068, 0.23223336578786419, 0.23224105036805354, 0.23225046402125332, 0.23226161966087147, 0.2322745326217095, 0.23228922069731156, 0.23230570418352675, 0.23232400592849045, 0.23234415138926193, 0.23236616869539994, 0.23239008871976524, 0.23241594515692862, 0.23244377460954002, 0.23247361668311833, 0.23250551408972692, 0.23253951276107876, 0.23257566197165652, 0.23261401447249322, 0.23265462663635353, 0.23269755861508246, 0.2327428745100156, 0.23279064255640675, 0.23284093532293795, 0.23289382992748106, 0.23294940827040631, 0.23300775728686626, 0.23306896921962506, 0.23313314191418236, 0.23320037913811639, 0.23327079092678313, 0.23334449395774082, 0.23342161195652716, 0.23350227613671942, 0.23358662567752791, 0.2336748082425574, 0.23376698054378195, 0.2338633089552829, 0.23396397018181886, 0.2340691519879331, 0.2341790539940164, 0.23429388854654815, 0.23441388167067334, 0.23453927411434924, 0.23467032249451761, 0.23480730055720522, 0.23495050056507902, 0.23510023482793369, 0.23525683739380154, 0.23542066592099203, 0.23559210375443412, 0.2357715622332783, 0.23595948326096955, 0.23615634217399673, 0.23636265095149148, 0.23657896181492438, 0.23680587127561556, 0.23704402469794095, 0.23729412145835288, 0.23755692079512755, 0.23783324846171033, 0.23812400431846178, 0.23843017102443387, 0.23875282402383796, 0.2390931430627527, 0.23945242552237103, 0.2398321019186142, 0.24023375399765642, 0.24065913595777938, 0.24111019945617221, 0.24158912322340612, 0.24209834831979321, 0.24264062034219286, 0.24321904024861493, 0.24383712594068108, 0.24449888737218445, 0.24520891879419029, 0.24597251288693717, 0.24679580308700849, 0.24768594257157495, 0.24865133137149448, 0.24970190734506728, 0.2508495228540174, 0.25210843787276793, 0.25349597339860436, 0.2550333887733176, 0.25674707674939418, 0.25867021733759521, 0.26084510684406648, 0.26332650181389017, 0.26618652483846805, 0.26952203807525332, 0.27346603301679562, 0.27820578014564717, 0.28401280124624584, 0.29129445130854875, 0.30068706969353209, 0.31323400638328774, 0.33074945348494356, 0.35662327836423191, 0.3977704820778547, 0.46979270386638888, 0.61060944484235791, 0.88785139836084126, 1.0501701292613572, 0.62714733272934398, 0.36600715811958617, 0.27616713526066106, 0.24337657338402541, 0.23032786260699148, 0.22504894211013857, 0.22315615104688438, 0.22283955006889128, 0.22327771229512142, 0.22406943221936565, 0.22500706158714107, 0.22597793042251835, 0.22691837771183623, 0.22779108077312318, 0.22857336692147814, 0.2292509774726508, 0.22981465744438506, 0.23025826173241981, 0.23057769776716547, 0.2307703394596001, 0.23083471214707929, 0.23077033945960046, 0.23057769776716591, 0.23025826173241984, 0.2298146574443844, 0.22925097747265125, 0.22857336692147692, 0.2277910807731236, 0.22691837771183657, 0.22597793042251962, 0.2250070615871419, 0.22406943221936543, 0.22327771229512033, 0.22283955006889133, 0.2231561510468843, 0.22504894211014037, 0.23032786260698598, 0.24337657338404511, 0.27616713526074127, 0.36600715811961337, 0.62714733272905998, 1.0501701292612622, 0.8878513983609776, 0.61060944484231183, 0.46979270386633332, 0.39777048207783361, 0.35662327836420937, 0.33074945348495965, 0.31323400638327403, 0.30068706969353065, 0.29129445130855258, 0.28401280124624018, 0.27820578014564751, 0.27346603301679917, 0.26952203807525299, 0.26618652483846866, 0.26332650181389028, 0.26084510684406598, 0.25867021733759604, 0.25674707674939384, 0.2550333887733191, 0.25349597339860502, 0.25210843787276732, 0.25084952285401785, 0.24970190734506723, 0.24865133137149364, 0.24768594257157456, 0.24679580308700899, 0.24597251288693772, 0.24520891879419063, 0.24449888737218528, 0.24383712594068133, 0.24321904024861388, 0.24264062034219236, 0.24209834831979377, 0.24158912322340609, 0.24111019945617174, 0.24065913595777955, 0.24023375399765631, 0.23983210191861354, 0.23945242552237042, 0.23909314306275192, 0.23875282402383813, 0.2384301710244339, 0.23812400431846231, 0.23783324846171022, 0.23755692079512794, 0.2372941214583528, 0.23704402469794059, 0.23680587127561514, 0.23657896181492488, 0.2363626509514915, 0.23615634217399642, 0.23595948326096983, 0.23577156223327886, 0.23559210375443465, 0.23542066592099203, 0.2352568373938014, 0.23510023482793371, 0.23495050056507852, 0.2348073005572052, 0.23467032249451814, 0.23453927411434894, 0.23441388167067306, 0.2342938885465479, 0.23417905399401651, 0.23406915198793327, 0.23396397018181891, 0.23386330895528265, 0.23376698054378142, 0.2336748082425574, 0.233586625677528, 0.23350227613671931, 0.23342161195652672, 0.23334449395774079, 0.23327079092678343, 0.23320037913811656, 0.23313314191418183, 0.23306896921962483, 0.23300775728686568, 0.23294940827040614, 0.23289382992748128, 0.23284093532293798, 0.23279064255640644, 0.23274287451001541, 0.23269755861508226, 0.23265462663635339, 0.23261401447249372, 0.2325756619716563, 0.23253951276107929, 0.23250551408972725, 0.23247361668311847, 0.23244377460953994, 0.2324159451569289, 0.23239008871976591, 0.23236616869539975, 0.23234415138926229, 0.23232400592849042, 0.2323057041835267, 0.23228922069731167, 0.23227453262170941, 0.23226161966087136, 0.23225046402125352, 0.23224105036805318, 0.23223336578786438, 0.2322273997573609, 0.23222314411787548, 0.23222059305574916, 0.23221974308835558, 0.23222016803717455, 0.23222144304489656, 0.23222356859539589, 0.23222654549537577, 0.23223037487474596, 0.23223505818714757, 0.23224059721062093, 0.2322469940484308, 0.23225425113003728, 0.23226237121221155, 0.23227135738030438, 0.23228121304965726, 0.23229194196716527, 0.23230354821297777, 0.23231603620235136, 0.23232941068764176, 0.23234367676044151, 0.23235883985385508, 0.23237490574492073, 0.23239188055715843, 0.23240977076327138, 0.23242858318796805, 0.2324483250109218, 0.23246900376986462, 0.23249062736380297, 0.23251320405636314, 0.23253674247925299, 0.23256125163585309, 0.23258674090491169, 0.23261322004435542, 0.23264069919521099, 0.23266918888562421, 0.23269870003497864, 0.23272924395810393, 0.23276083236957792, 0.2327934773880983, 0.2328271915409372, 0.23286198776845379, 0.23289787942867252, 0.23293488030190848, 0.23297300459542958, 0.23301226694816146, 0.23305268243540198, 0.2330942665735572, 0.23313703532486874, 0.23318100510213627, 0.23322619277341253, 0.23327261566665966, 0.23332029157435533, 0.2333692387580312, 0.23341947595273488, 0.23347102237138856, 0.23352389770903906, 0.23357812214697646, 0.23363371635670582, 0.23369070150375332, 0.23374909925129578, 0.23380893176357809, 0.23387022170912627, 0.23393299226371547, 0.23399726711308874, 0.23406307045540695, 0.23413042700340903, 0.23419936198628052, 0.2342699011512018, 0.2343420707645813, 0.23441589761295104, 0.23449140900353665, 0.23456863276448112, 0.23464759724474732, 0.234728331313693, 0.23481086436034104, 0.23489522629237106, 0.23498144753486166, 0.23506955902882709, 0.23515959222960481, 0.23525157910516697, 0.23534555213443167, 0.23544154430568942, 0.23553958911525791, 0.23563972056652407, 0.23574197316954063, 0.23584638194137886, 0.23595298240749515, 0.23606181060436182, 0.23617290308371211, 0.23628629691874678, 0.23640202971274446, 0.23652013961054716, 0.23664066531349315, 0.23676364609841047, 0.23688912184140259, 0.23701713304723002, 0.23714772088520408, 0.23728092723263899, 0.23741679472699925, 0.23755536682808834, 0.23769668789171267, 0.23784080325647394, 0.23798775934554028, 0.23813760378542109, 0.23829038554406309, 0.23844615509078904, 0.23860496458093733, 0.23876686806833966, 0.23893192174914174, 0.23910018424086277, 0.23927171690098489, 0.2394465841898582, 0.23962485408320866, 0.23980659854011638, 0.23999189403293159, 0.24018082214633843, 0.24037347025350383, 0.24056993227814927, 0.24077030955230766, 0.24097471178063073, 0.24118325812329997, 0.24139607841095623, 0.24161331450660162, 0.24183512183115133, 0.24206167107133342, 0.2422931500908532, 0.24252976606840568, 0.24277174788908537, 0.24301934881929282, 0.24327284949925004, 0.24353256129207601, 0.24435261979964545, 0.24524362035154057, 0.24622176728542169, 0.24730966346795985, 0.24853907590304983, 0.24995508835409488, 0.25162254564420528, 0.25363645609990854, 0.25613957110309926, 0.25935371111288741, 0.26363915461381365, 0.26961588422019023, 0.2784347528103206, 0.29245851360097025, 0.31725318918552531, 0.36871648801414914, 0.50518269805695637, 0.87986030918914304, 0.53836399138104341, 0.27725041916062121, 0.22714269076108201, 0.21469461546693686, 0.21118768142600369, 0.21034386937159255, 0.21037719016111137, 0.21068898697417993, 0.21105918666004375, 0.21140441327634948, 0.21169468971814809, 0.21192172563135417, 0.21208596587847739, 0.21219105646105166, 0.21224143073943491, 0.21224126672684623, 0.21219406231148427, 0.21210248992071609, 0.21196837374436014, 0.21179271546714917, 0.21157573348785608, 0.21131689951338717, 0.21101496591947783, 0.21066798248107987, 0.21027330468618047, 0.209827599615795, 0.20932686099641501, 0.20876645492947032, 0.20814123627272127, 0.20744581108377153, 0.20667509018121888, 0.20582541966410278, 0.20489686871019852, 0.20389789687201024, 0.20285509327449655, 0.20183425348052314, 0.20098839063251386, 0.20067486731930381, 0.20176823464807869, 0.20660187319695703, 0.22228780317785074, 0.27499338383303823, 0.47888600203726017, 0.96883561537629082, 0.74768532002701882, 0.49148141114590133, 0.38473353699553153, 0.33377964891580125, 0.30538083786014081, 0.28766833285333093, 0.27568637509130361, 0.26707329730813861, 0.26058247818634589, 0.25550137238921566, 0.2513961103189653, 0.24798856636280645, 0.24509266393096496, 0.24257930697181701, 0.24035606852496755, 0.23835491432333933, 0.23652451416432876, 0.23482528838732525, 0.2332261572182483, 0.23170240701203346, 0.23023434816427565, 0.22880661153689252, 0.22740807222532711, 0.22603255085878704, 0.2246806889806795, 0.22336384748075727, 0.22211179868528344, 0.22098799916081419, 0.22012094121361298, 0.21977190108386177, 0.22049162604440839, 0.22351548504081276, 0.23187500919296444, 0.25397547906904672, 0.31688730587555786, 0.51401030264359682, 0.9143804119966098, 0.80473267806604309, 0.54875193532007494, 0.42456905202400869, 0.36329055066488647, 0.32900446492099084, 0.30771523070327761, 0.29342060607629061, 0.28323945825144692, 0.2756518884947452, 0.26979297446464223, 0.26513961413378506, 0.26135940366455374, 0.25823237190978787, 0.25560797787576783, 0.25338027269974561, 0.25147292810147009, 0.2498298738041235, 0.24840925205095832, 0.2471794028771496, 0.24611613131877577, 0.24520080644776915, 0.24441901394070067, 0.2437595858240218, 0.24321389323028314, 0.24277532693313159, 0.24243891539997392, 0.24220104650515573, 0.2420592701012852, 0.24201216632803024, 0.24204355913368869, 0.24213792978974749, 0.24229586154482533, 0.24251834852859003, 0.24280682981771126, 0.24316323919505892, 0.24359007286683207, 0.24409047835601633, 0.24466836902094224, 0.24532857027668403, 0.24607700579780062, 0.2469209350047338, 0.24786925735384799, 0.24893290491991943, 0.25012535333084279, 0.25146329360921127, 0.25296752598455063, 0.25466416463088526, 0.25658628509607162, 0.25877621323296968, 0.26128876175118632, 0.26419589641872843, 0.26759360998626064, 0.27161229476759752, 0.27643282221402754, 0.28231223821900958, 0.28962626119885237, 0.29894237163381815, 0.31115122246322302, 0.32771505255036359, 0.35116389477914167, 0.38614351942869712, 0.4417149191649723, 0.53610873545658033, 0.70059615325322488, 0.92149527574325785, 0.90259821095616788, 0.59728786873010453, 0.39306035259975786, 0.30104955007900402, 0.25944365044198514, 0.23933252321291798, 0.22905167242985547, 0.22362890589758927, 0.22076795829674087, 0.21932765182952235, 0.21870480295933811, 0.21856403805814303, 0.21871102290816952, 0.21902930163516277, 0.21944716579031012, 0.21991949221993473, 0.22041740216659245, 0.2209221776983967, 0.22142157971494339, 0.22190756368176931, 0.22237483148506476, 0.22281989569126456, 0.22324046459212274, 0.22363503188065686, 0.2240025990329986, 0.22434248500215415, 0.22465419408597773, 0.22493732299292277, 0.22519149460695642, 0.22541631017285887, 0.22561131444995472, 0.22577597035957481, 0.22590964114033696, 0.22601157929088442, 0.22608092285291706, 0.22611670111863436, 0.22611785397057418, 0.22608327229143313, 0.22601187207140064, 0.22590272348357232, 0.22575527099311296, 0.22556970654302066, 0.22534760468506679, 0.22509301539954532, 0.22481437683965491, 0.22452794133093962, 0.22426409498816671, 0.22407944895444659, 0.22408103863573392, 0.22447751600731092, 0.22569514154420448, 0.22866418496017371, 0.23560739187721555, 0.25253268650349275, 0.2985514988881372, 0.44510112729138407, 0.85732464686836496, 0.87848643923520131, 0.56921557569749703, 0.42644551319733098, 0.36160723269591349, 0.32737962957423494, 0.30699093869757255, 0.29372659019809655, 0.28451462175603359, 0.27778977217696349, 0.27268418138379369, 0.26868337158626343, 0.26546549906842476, 0.26282019874912854, 0.26060490968070521, 0.25872008292354354, 0.25709445846267653, 0.25567597756932764, 0.2544259829804108, 0.25331540734302788, 0.2523222019939072, 0.25142956053146387, 0.25062466348141388, 0.24989777122552895, 0.24924155335812831, 0.24865058057673992, 0.24812092948932371, 0.247649866713927, 0.24723558951315314, 0.24687700782122296, 0.2465735580044526, 0.24632504270709621, 0.2461314940540221, 0.24599305952505554, 0.24590991111027255, 0.24588217899539502], [0.24314358498328947, 0.24318708657186072, 0.2433180656985644, 0.24353797173751021, 0.24384931003502314, 0.24425578408399068, 0.24476251085108777, 0.24537632834202788, 0.24610622459904338, 0.24696393227753832, 0.24796475582494501, 0.2491287343062302, 0.25048230122743714, 0.25206069981460366, 0.25391157897609545, 0.25610049149697817, 0.25871956302694865, 0.26190165504296309, 0.26584448226717639, 0.27085373493073189, 0.27742480788523755, 0.28640904283158214, 0.29938268946356095, 0.31956054018963448, 0.35439451963097773, 0.42430351277206801, 0.59476835091658442, 0.92737310518975413, 0.56831525748293854, 0.300874907175669, 0.23969605238655159, 0.2238690458929542, 0.21984423753766297, 0.21955261927117717, 0.22057432152001055, 0.22206573373115049, 0.22370527019077344, 0.22536642865058332, 0.22700201093112732, 0.22859893711974263, 0.23015933619668411, 0.23169226463296153, 0.23321001385850798, 0.23472650692396066, 0.23625669217794346, 0.23781643821699927, 0.23942270131513285, 0.2410938623077912, 0.24285019266246066, 0.24471444343203244, 0.24671257170515151, 0.24887463467554283, 0.25123589546557051, 0.25383819943652619, 0.25673169585908517, 0.25997699736853175, 0.26364788676432849, 0.26783469242866936, 0.2726484488055671, 0.27822591427288745, 0.28473539137634701, 0.29238300262011047, 0.30141847705682623, 0.3121383698527318, 0.32488264639019609, 0.34001738485113542, 0.35789200112870051, 0.37875514603363569, 0.40261346044500157, 0.42903039629070128, 0.45689917045905998, 0.48428449971404441, 0.50847823205452525, 0.52638576680633997, 0.53521526501283967, 0.53325598628138893, 0.52044339092459646, 0.49846291419018429, 0.47030377298224624, 0.43941593679002305, 0.40884236353638098, 0.38068898415050284, 0.35604105147137499, 0.33518159744737225, 0.31789977067016367, 0.30375122937325583, 0.29222770990821134, 0.2828472094901745, 0.27519166606404072, 0.26891558872224763, 0.26374105923999153, 0.25944773661951737, 0.25586211259720015, 0.25284781452268645, 0.25029751861364508, 0.24812647961648931, 0.24626746973343777, 0.24466686738253096, 0.24328165158596959, 0.24207709591873403, 0.24102499727515653, 0.24010231156231859, 0.23929009864429876, 0.23857270258223079, 0.23793711139327023, 0.23737245429493523, 0.23686960471828292, 0.23642086509418456, 0.23601971519290715, 0.23566061012420542, 0.23533881735542281, 0.23505028455518118, 0.2347915319247883, 0.2345595640896167, 0.23435179770006562, 0.23416600171900406, 0.23400024801110483, 0.23385287034488089, 0.23372243030473416, 0.23360768891349415, 0.23350758300514129, 0.23342120557734114, 0.23334778950524124, 0.23328669412025685, 0.23323739425696399, 0.23319947145284303, 0.23317260705353798, 0.23315657703376746, 0.2331512483936064, 0.23315212343067299, 0.23315474974228334, 0.23315913093257762, 0.2331652730181534, 0.2331731844426686, 0.2331828760973719, 0.23319436134767033, 0.2332076560658512, 0.23322277867011559, 0.23323975017011261, 0.23325859421918951, 0.23327933717360799, 0.23330200815902791, 0.23332663914455862, 0.23335326502478387, 0.23338192371013239, 0.23341265622608404, 0.23344550682170073, 0.23348052308806222, 0.23351775608722322, 0.23355726049238007, 0.23359909474002963, 0.23364332119493711, 0.23369000632885892, 0.23373922091404073, 0.23379104023261987, 0.23384554430317869, 0.23390281812582592, 0.23396295194733138, 0.23402604154798495, 0.23409218855204819, 0.23416150076385267, 0.23423409253183064, 0.2343100851430106, 0.23438960725078981, 0.23447279533912435, 0.23455979422662132, 0.23465075761443385, 0.23474584868230525, 0.2348452407376535, 0.23494911792315137, 0.23505767598894992, 0.23517112313646654, 0.23528968094153313, 0.23541358536572377, 0.23554308786584968, 0.23567845661294848, 0.23581997783367337, 0.23596795728877126, 0.2361227219054714, 0.2362846215830422, 0.23645403119364622, 0.23663135280400141, 0.23681701814730771, 0.23701149137959557, 0.23721527216017696, 0.23742889910248624, 0.23765295364945405, 0.23788806443696203, 0.2381349122202473, 0.23839423545177077, 0.23866683661559518, 0.23895358944342288, 0.23925544716205036, 0.23957345195214788, 0.23990874583549757, 0.24026258325398878, 0.24063634566111905, 0.24103155851884828, 0.24144991118335091, 0.24189328027831836, 0.24236375730115772, 0.24286368139582365, 0.24339567846956464, 0.24396270814791171, 0.24456812047837034, 0.24521572484367266, 0.24590987427988051, 0.24665556938361655, 0.24745858733745099, 0.24832564343007746, 0.24926459501487436, 0.25028470145937454, 0.25139695877758328, 0.25261453505758069, 0.25395334367178063, 0.25543280745434471, 0.25707689158182573, 0.25891552082863001, 0.26098655672807697, 0.26333860682902899, 0.26603509835152911, 0.26916032138018292, 0.27282862655214762, 0.27719883641535065, 0.28249758729620145, 0.28905860732680361, 0.29739180730112103, 0.30831129168629751, 0.32318752938711309, 0.34448150088418716, 0.37697645689165499, 0.43089575308615541, 0.53035487999870579, 0.73198500606707095, 1.0502439122661436, 0.88684298448969667, 0.4776197999710815, 0.31543612232334772, 0.25900580913159282, 0.23737155167022861, 0.22857300807363989, 0.22511077073672961, 0.2240655205410664, 0.22417143956660024, 0.22483158389041141, 0.22574532189318772, 0.22675304110532604, 0.22776615410272072, 0.22873350113044161, 0.22962439085466277, 0.2304196954140752, 0.23110703487634443, 0.23167812112992822, 0.23212727823860335, 0.23245061868897646, 0.23264559093998571, 0.23271073964507738, 0.23264559093998607, 0.23245061868897676, 0.23212727823860335, 0.23167812112992761, 0.23110703487634485, 0.23041969541407395, 0.22962439085466324, 0.22873350113044191, 0.22776615410272205, 0.22675304110532687, 0.22574532189318744, 0.22483158389041019, 0.22417143956660021, 0.22406552054106624, 0.22511077073673119, 0.22857300807363626, 0.2373715516702416, 0.25900580913164412, 0.31543612232336549, 0.47761979997088705, 0.88684298448956289, 1.0502439122662173, 0.73198500606699735, 0.53035487999863395, 0.43089575308612971, 0.37697645689162745, 0.34448150088420643, 0.32318752938709683, 0.30831129168629551, 0.29739180730112508, 0.28905860732679739, 0.28249758729620184, 0.27719883641535459, 0.27282862655214712, 0.2691603213801837, 0.26603509835152916, 0.26333860682902854, 0.26098655672807775, 0.25891552082862956, 0.25707689158182717, 0.25543280745434543, 0.25395334367178002, 0.25261453505758119, 0.25139695877758317, 0.25028470145937382, 0.24926459501487391, 0.24832564343007796, 0.24745858733745155, 0.24665556938361685, 0.24590987427988137, 0.24521572484367293, 0.24456812047836926, 0.2439627081479111, 0.24339567846956517, 0.24286368139582376, 0.24236375730115725, 0.24189328027831861, 0.24144991118335071, 0.2410315585188475, 0.24063634566111852, 0.24026258325398803, 0.23990874583549779, 0.23957345195214785, 0.23925544716205091, 0.23895358944342279, 0.23866683661559548, 0.23839423545177071, 0.23813491222024694, 0.23788806443696156, 0.2376529536494546, 0.23742889910248624, 0.23721527216017663, 0.23701149137959585, 0.23681701814730821, 0.23663135280400199, 0.23645403119364622, 0.23628462158304214, 0.23612272190547126, 0.23596795728877074, 0.23581997783367348, 0.23567845661294909, 0.23554308786584938, 0.23541358536572352, 0.23528968094153288, 0.23517112313646671, 0.23505767598895017, 0.23494911792315146, 0.23484524073765328, 0.23474584868230478, 0.23465075761443388, 0.23455979422662146, 0.23447279533912424, 0.23438960725078947, 0.23431008514301055, 0.23423409253183095, 0.23416150076385273, 0.23409218855204764, 0.23402604154798484, 0.23396295194733072, 0.2339028181258257, 0.23384554430317883, 0.23379104023262004, 0.23373922091404042, 0.23369000632885875, 0.23364332119493683, 0.23359909474002946, 0.2335572604923806, 0.233517756087223, 0.23348052308806286, 0.23344550682170115, 0.23341265622608404, 0.23338192371013225, 0.23335326502478415, 0.23332663914455934, 0.23330200815902771, 0.23327933717360852, 0.23325859421918943, 0.23323975017011261, 0.23322277867011568, 0.233207656065851, 0.23319436134767024, 0.23318287609737201, 0.23317318444266824, 0.23316527301815357, 0.23315913093257792, 0.23315474974228373, 0.23315212343067312, 0.23315124839360568, 0.23315168587603799, 0.2331529984901396, 0.23315518673640903, 0.23315825144927221, 0.23316219379748274, 0.23316701528467892, 0.23317271775009324, 0.23317930336942874, 0.23318677465588986, 0.23319513446136803, 0.23320438597778975, 0.23321453273861611, 0.23322557862050541, 0.23323752784512169, 0.23325038498110667, 0.23326415494620081, 0.23327884300952031, 0.23329445479398175, 0.23331099627888505, 0.23332847380263261, 0.23334689406561365, 0.23336626413322095, 0.23338659143901583, 0.23340788378803959, 0.23343014936026038, 0.2334533967141606, 0.23347763479045427, 0.23350287291594743, 0.2335291208075152, 0.23355638857621003, 0.23358468673149305, 0.2336140261855803, 0.23364441825790253, 0.23367587467967019, 0.23370840759855038, 0.2337420295834283, 0.23377675362927089, 0.23381259316206607, 0.23384956204384585, 0.23388767457777823, 0.23392694551331356, 0.23396739005139813, 0.23400902384971661, 0.23405186302798017, 0.2340959241732305, 0.23414122434516357, 0.23418778108145211, 0.23423561240305674, 0.23428473681951623, 0.23433517333419931, 0.23438694144951269, 0.23444006117203761, 0.23449455301759473, 0.23455043801621134, 0.23460773771698462, 0.23466647419281603, 0.2347266700450151, 0.23478834840773669, 0.23485153295226094, 0.23491624789108165, 0.23498251798179884, 0.23505036853080183, 0.23511982539672366, 0.23519091499367178, 0.23526366429420759, 0.23533810083208839, 0.23541425270475325, 0.23549214857556861, 0.2355718176758253, 0.23565328980651259, 0.23573659533987565, 0.2358217652207866, 0.2359088309679635, 0.23599782467507982, 0.23608877901181818, 0.23618172722493738, 0.23627670313944316, 0.23637374115995025, 0.2364728762723719, 0.2365741440460688, 0.23667758063663633, 0.23678322278952457, 0.23689110784471545, 0.23700127374274843, 0.237113759032374, 0.23722860288022468, 0.23734584508288897, 0.23746552608187818, 0.23758768698200494, 0.23771236957380437, 0.23783961636067225, 0.23796947059152015, 0.23810197629983193, 0.23823717835012206, 0.23837512249293802, 0.23851585542965503, 0.23865942488852623, 0.23880587971355838, 0.23895526996801841, 0.23910764705458776, 0.23926306385437951, 0.23942157488734911, 0.23958323649685465, 0.23974810706149396, 0.23991624723765456, 0.24008772023661701, 0.24026259214048706, 0.2404409322616734, 0.24062281355117712, 0.24080831306152273, 0.2409975124708105, 0.24119049867505049, 0.24138736445677403, 0.24158820923875041, 0.24179313993265883, 0.24200227189362994, 0.24221572999283775, 0.24243364982169377, 0.24265617904278033, 0.24288347890444564, 0.24311572593800801, 0.24335311385887812, 0.24359585569553679, 0.24384418617344852, 0.24409836438452129, 0.24435867677694206, 0.24462544050502721, 0.24489900718450969, 0.24576465017254331, 0.24670848108314095, 0.24774876102449359, 0.24891098420654809, 0.25023106827526109, 0.2517602003210907, 0.25357245587796284, 0.25577727892263735, 0.25854092495334752, 0.26212541052494542, 0.26696405267337731, 0.27382003390833887, 0.28415368526699036, 0.30108795806054134, 0.3324086437400583, 0.40218380330081938, 0.60462966622574776, 0.92507062240519777, 0.40567498928881018, 0.25384787924568131, 0.22244048502451522, 0.21410719054265628, 0.21177020435121777, 0.21130593468066095, 0.21146395899865572, 0.21180886402437926, 0.21217768850480778, 0.21250895969233127, 0.21278158007287712, 0.21299093145592499, 0.21313893560379241, 0.21322976242499095, 0.21326795494893674, 0.21325762858414585, 0.21320215722015126, 0.21310407890369021, 0.21296509615922249, 0.21278611173395853, 0.21256727179899085, 0.21230800388953638, 0.21200704458012964, 0.2116624561634898, 0.21127163462828358, 0.21083131447985154, 0.2103375808682823, 0.20978590816563616, 0.20917126026045335, 0.20848831856710112, 0.20773196363640747, 0.20689825612550344, 0.20598641076772486, 0.20500279020170156, 0.2039691480727347, 0.20294022100529768, 0.20204310283175184, 0.2015711911115747, 0.20222805335407823, 0.20583475723014194, 0.21770569747480178, 0.2562904609661722, 0.39981477712223984, 0.86914186005266092, 0.86388851642432429, 0.54617745844412025, 0.40961482162134799, 0.34742506862064337, 0.31404389760952989, 0.29377821848111113, 0.28033817475930661, 0.27082213355107632, 0.26373648995323795, 0.25824424844193639, 0.25384380718854527, 0.25021780702282392, 0.24715625270246139, 0.24451483173787586, 0.24219108234411657, 0.24011014447183299, 0.23821591488198848, 0.23646538621576085, 0.23482494304411247, 0.23326791916973563, 0.23177302324541915, 0.23032343030404734, 0.22890648084259013, 0.22751407536751572, 0.22614405646033009, 0.22480322635007455, 0.22351335099010272, 0.22232300315616815, 0.22133152171324236, 0.22073972800903435, 0.22096413112934413, 0.22291537841612238, 0.22874908788108086, 0.24416254282947397, 0.28653614406396832, 0.41656429413159679, 0.78098491408891635, 0.92261987467545448, 0.62864711304293086, 0.46179248908006831, 0.38289618561859806, 0.34079352055732659, 0.31557810849328927, 0.29909557995058811, 0.28759184415790917, 0.27915199525219542, 0.27271512705292261, 0.26765327520136262, 0.26357433974727718, 0.260222573280951, 0.25742505093084439, 0.25506130060739168, 0.25304527527536896, 0.2513142273182834, 0.24982160704468515, 0.24853239429208471, 0.24741994912302909, 0.24646383858658857, 0.24564830725709424, 0.24496118289553764, 0.24439308325325629, 0.24393683635952676, 0.24358705609758377, 0.24333983407985171, 0.24319252168418998, 0.24314358498328947, 0.24317619900360818, 0.24327424913759385, 0.24343836679455064, 0.24366962860662533, 0.24396959398524629, 0.24434036005760243, 0.24478463657211733, 0.24530584446133175, 0.24590824317630441, 0.24659709380455841, 0.24737886756249794, 0.24826151281810582, 0.24925479880412515, 0.25037076131269981, 0.25162428597718389, 0.25303387990279691, 0.2546227050508042, 0.25641998121764964, 0.2584629198440993, 0.26079943442861953, 0.26349201027304303, 0.26662334380026798, 0.27030475023893558, 0.27468902267844447, 0.27999067188190851, 0.28651883384550642, 0.29473278189268587, 0.30533958314163079, 0.31947428665139921, 0.33905067480645779, 0.36748449503883657, 0.41126619082866922, 0.48342913210853367, 0.60971667941347985, 0.81932889338376602, 0.98057105041394965, 0.75928128255953531, 0.47737247900409696, 0.33796213965992783, 0.2766499608844919, 0.24813675015770534, 0.23397763113799755, 0.22662874525780352, 0.22275498705071259, 0.22076018169188891, 0.21982651283441751, 0.2195107265680257, 0.21956130051482775, 0.21983008562841186, 0.22022714736528531, 0.22069655479660452, 0.221202857514709, 0.22172326116100294, 0.22224296004818231, 0.22275227832814526, 0.22324487800703041, 0.22371661271692472, 0.22416478133651968, 0.22458763419682043, 0.22498404167241534, 0.22535326878271275, 0.22569481992344034, 0.22600833052258262, 0.22629349040278257, 0.22654998876291621, 0.22677747405690432, 0.22697552431673329, 0.22714362506340083, 0.22728115315892675, 0.22738736598620587, 0.22746139638740473, 0.22750225504889296, 0.22750884376279379, 0.22747998563686139, 0.2274144825521254, 0.22731121717208189, 0.22716932872273321, 0.22698851253071542, 0.22676953042180542, 0.22651508725545377, 0.22623135801285096, 0.22593070323017087, 0.2256366281231118, 0.22539314836550647, 0.22528322827818525, 0.22546698620215627, 0.22626603428734171, 0.22836497283673587, 0.23334330036427059, 0.24527009530865132, 0.27631306482052892, 0.37003040881944665, 0.67906148167587632, 0.99291682296787931, 0.66824307143170814, 0.46889457058894457, 0.38277492007109643, 0.33981041016351393, 0.31525668175495686, 0.29975342099975627, 0.28922248000484169, 0.28166361244434501, 0.27600023035418142, 0.27160894450853285, 0.26810708660062621, 0.26524836919451827, 0.26286800384500419, 0.2608521377813165, 0.259119996092949, 0.25761301230009337, 0.25628797558579874, 0.25511257580210495, 0.25406242744794927, 0.25311903192568186, 0.25226834943642018, 0.25149977487496766, 0.25080538566650568, 0.25017937481802316, 0.24961761122232298, 0.24911728808890726, 0.24867663314115188, 0.24829466318502627, 0.24797097215870817, 0.24770554658598967, 0.24749860590325076, 0.24735046762973717, 0.24726143891804336, 0.2472317367383399], [0.24429005176144444, 0.24433527401467534, 0.24447145090392289, 0.2447001416267347, 0.2450240432228705, 0.2454471466909981, 0.24597497392630924, 0.24661491709270505, 0.24737671362139171, 0.24827310726796736, 0.24932077222307478, 0.25054161941786685, 0.25196467295426089, 0.25362882020519878, 0.25558693972377894, 0.25791227162950048, 0.26070856940425369, 0.26412689151907237, 0.26839461195124892, 0.27386819052104988, 0.28113528157938494, 0.29122777448438708, 0.30610986659083311, 0.32993627253197694, 0.37281622948234627, 0.46413544178250749, 0.6968417806356616, 0.92662526127838318, 0.44632892873019631, 0.27400284019665316, 0.23372775787194322, 0.22297851887366194, 0.22047832955227087, 0.22070699411436359, 0.22191487642543833, 0.22346983505413059, 0.22512618833382333, 0.22678723236458909, 0.22841819236894706, 0.23001136863246452, 0.23157128077835429, 0.23310808932193158, 0.2346346596810798, 0.23616531284883829, 0.23771539569003899, 0.23930127395164505, 0.24094056525931162, 0.2426525323249403, 0.24445860949818823, 0.24638306594565684, 0.24845382899746468, 0.25070350805682129, 0.25317067652920594, 0.25590148872910201, 0.25895173211366268, 0.26238944311667256, 0.26629824649681505, 0.27078160953450542, 0.27596822306164576, 0.28201870712642702, 0.28913373948747761, 0.29756341967123717, 0.3076170213993491, 0.31967092132504749, 0.33416990311554373, 0.35161256846172578, 0.37250486750803369, 0.39725802690264062, 0.42600411803581439, 0.45831792440893671, 0.49288729155237798, 0.52726942278331324, 0.55795175498894745, 0.58088387358490789, 0.59240989050703763, 0.59027728775431554, 0.57435164123580373, 0.5467786559669976, 0.51145909985045956, 0.47294398064937998, 0.43522359417553402, 0.40097474412097778, 0.37146597922360769, 0.34690130348773074, 0.32687180351399908, 0.31071430278452261, 0.29772846843896761, 0.28728113995170423, 0.2788420375530784, 0.27198493315711997, 0.2663747072597511, 0.26175071237892578, 0.2579110137005855, 0.25469909198957219, 0.25199323859320338, 0.24969834476764843, 0.24773964255122694, 0.2460579677547928, 0.24460618261504496, 0.24334647128601505, 0.24224828872139856, 0.24128679807026371, 0.2404416738535376, 0.23969617991469053, 0.23903645469235849, 0.23845095372958447, 0.23793001210680684, 0.237465498881274, 0.23705054254209856, 0.23667931161372321, 0.23634683834673864, 0.23604887627609628, 0.23578178455859083, 0.23554243360980637, 0.23532812778086157, 0.23513654174622484, 0.23496566798821195, 0.23481377331504677, 0.23467936277734511, 0.23456114968206132, 0.23445803066550663, 0.23436906499470367, 0.2342934574317164, 0.23423054412831124, 0.23417978112583335, 0.23414073512319919, 0.23411307624893879, 0.23409657263483175, 0.23409108664170752, 0.23409198762502331, 0.23409469181756826, 0.23409920295017383, 0.23410552725102748, 0.23411367346093553, 0.23412365285478132, 0.2341354792692964, 0.23414916913726727, 0.23416474152834393, 0.23418221819665103, 0.2342016236354279, 0.23422298513896256, 0.23424633287213903, 0.23427169994791494, 0.23429912251315829, 0.23432863984323968, 0.23436029444589512, 0.2343941321748832, 0.23443020235404433, 0.23446855791242374, 0.23450925553118221, 0.23455235580312764, 0.23459792340573637, 0.23464602728866699, 0.23469674087685341, 0.23475014229037758, 0.23480631458244899, 0.23486534599695977, 0.23492733024723841, 0.23499236681778668, 0.23506056129099537, 0.23513202570103087, 0.2352068789173386, 0.23528524706047169, 0.2353672639532578, 0.23545307161067131, 0.23554282077214603, 0.23563667148051917, 0.23573479371227943, 0.23583736806437761, 0.23594458650347674, 0.23605665318426852, 0.23617378534432285, 0.23629621428389394, 0.23642418644021734, 0.23655796456711189, 0.23669782903216308, 0.23684407924549214, 0.23699703523606896, 0.23715703939386731, 0.23732445839883762, 0.23749968536083244, 0.23768314219834258, 0.23787528228826116, 0.23807659342408335, 0.23828760112606456, 0.23850887235418672, 0.23874101968349856, 0.2389847060118673, 0.23924064988278729, 0.23950963152112625, 0.23979249969818545, 0.2400901795649783, 0.24040368162026907, 0.24073411201385186, 0.24108268442754213, 0.24145073382855131, 0.24183973245504417, 0.24225130847560608, 0.24268726786771594, 0.24314962019185665, 0.2436406091060534, 0.2441627486822617, 0.24471886686701685, 0.2453121577958676, 0.24594624515475103, 0.2466252594237282, 0.24735393269914593, 0.2481377159545082, 0.24898292519102266, 0.24989692512563827, 0.25088836213354232, 0.25196746250286878, 0.25314641828084672, 0.25443989203598455, 0.25586568521711123, 0.25744563484591715, 0.25920683395191063, 0.26118331901492092, 0.26341844400456754, 0.26596828531278777, 0.26890663116086932, 0.27233247090156026, 0.27638154639967633, 0.28124472779608445, 0.28719829914913453, 0.29465595847863474, 0.30426246490728187, 0.31707201977654309, 0.33491136192396948, 0.3611790877642807, 0.40277091170140289, 0.47515106564146076, 0.61581699243283428, 0.89516458333513027, 1.0944883614876373, 0.67158092444984674, 0.38450953063179488, 0.28466436077638496, 0.24825073181746879, 0.23373318441820842, 0.22781120366218444, 0.22563632782564103, 0.22521345766047726, 0.2256389063495583, 0.22647155422890014, 0.22748291564008322, 0.22854871536301402, 0.22959841105959516, 0.23059032041420013, 0.2314988004071834, 0.23230740665535324, 0.23300515300497454, 0.23358443685378155, 0.2340398843230492, 0.23436771270338647, 0.23456538614405922, 0.23463143763468036, 0.23456538614405961, 0.23436771270338691, 0.23403988432304917, 0.23358443685378091, 0.23300515300497493, 0.23230740665535188, 0.23149880040718387, 0.23059032041420049, 0.22959841105959647, 0.22854871536301494, 0.22748291564008297, 0.22647155422889875, 0.22563890634955835, 0.22521345766047718, 0.22563632782564214, 0.22781120366218202, 0.23373318441821744, 0.2482507318175026, 0.28466436077639623, 0.38450953063167964, 0.67158092444975037, 1.0944883614875343, 0.89516458333504278, 0.61581699243272847, 0.47515106564142023, 0.40277091170136753, 0.36117908776430546, 0.33491136192394955, 0.3170720197765402, 0.30426246490728637, 0.29465595847862752, 0.28719829914913492, 0.28124472779608867, 0.2763815463996756, 0.27233247090156115, 0.26890663116086949, 0.26596828531278716, 0.26341844400456838, 0.26118331901492065, 0.25920683395191219, 0.25744563484591804, 0.25586568521711067, 0.2544398920359851, 0.2531464182808465, 0.25196746250286806, 0.25088836213354193, 0.24989692512563877, 0.24898292519102325, 0.24813771595450859, 0.24735393269914682, 0.24662525942372857, 0.24594624515474992, 0.24531215779586696, 0.24471886686701752, 0.24416274868226162, 0.2436406091060529, 0.24314962019185687, 0.24268726786771583, 0.24225130847560536, 0.2418397324550435, 0.24145073382855045, 0.24108268442754241, 0.24073411201385184, 0.24040368162026962, 0.24009017956497822, 0.23979249969818578, 0.2395096315211262, 0.2392406498827869, 0.238984706011867, 0.23874101968349906, 0.23850887235418677, 0.23828760112606426, 0.23807659342408358, 0.23787528228826169, 0.23768314219834322, 0.23749968536083244, 0.23732445839883759, 0.23715703939386729, 0.23699703523606841, 0.2368440792454922, 0.2366978290321636, 0.23655796456711162, 0.23642418644021707, 0.23629621428389372, 0.23617378534432296, 0.23605665318426866, 0.23594458650347688, 0.23583736806437741, 0.2357347937122789, 0.23563667148051914, 0.23554282077214611, 0.23545307161067122, 0.23536726395325741, 0.23528524706047155, 0.23520687891733891, 0.23513202570103103, 0.23506056129099481, 0.23499236681778662, 0.23492733024723786, 0.2348653459969596, 0.23480631458244908, 0.23475014229037763, 0.2346967408768531, 0.23464602728866674, 0.23459792340573615, 0.23455235580312747, 0.23450925553118274, 0.23446855791242366, 0.23443020235404496, 0.23439413217488353, 0.23436029444589518, 0.23432863984323954, 0.2342991225131586, 0.23427169994791569, 0.23424633287213875, 0.23422298513896309, 0.23420162363542782, 0.23418221819665111, 0.23416474152834402, 0.2341491691372671, 0.23413547926929637, 0.23412365285478146, 0.23411367346093523, 0.23410552725102768, 0.23409920295017403, 0.23409469181756873, 0.23409198762502348, 0.23409108664170683, 0.23409153709598973, 0.23409288863143987, 0.23409514176595139, 0.23409829736295884, 0.2341023566318623, 0.23410732112861909, 0.23411319275649739, 0.23411997376700658, 0.23412766676099356, 0.23413627468990156, 0.23414580085720405, 0.23415624891999848, 0.23416762289077542, 0.23417992713934252, 0.23419316639492377, 0.23420734574841853, 0.23422247065482701, 0.23423854693583654, 0.23425558078257491, 0.23427357875851423, 0.23429254780255088, 0.23431249523222983, 0.23433342874713106, 0.23435535643241406, 0.23437828676251107, 0.23440222860497606, 0.23442719122447561, 0.23445318428693832, 0.23448021786383547, 0.23450830243660781, 0.23453744890123207, 0.23456766857291694, 0.23459897319093148, 0.23463137492355421, 0.23466488637315283, 0.23469952058136798, 0.23473529103441632, 0.23477221166849088, 0.23481029687526631, 0.2348495615074927, 0.23489002088466815, 0.23493169079880066, 0.23497458752022413, 0.23501872780348537, 0.23506412889327277, 0.23511080853039332, 0.23515878495777698, 0.23520807692650034, 0.23525870370182089, 0.23531068506920716, 0.23536404134035865, 0.23541879335919327, 0.23547496250780006, 0.23553257071233735, 0.23559164044886802, 0.23565219474911353, 0.23571425720612513, 0.23577785197983903, 0.23584300380253043, 0.2359097379841322, 0.23597808041742041, 0.23604805758305467, 0.23611969655446102, 0.23619302500256495, 0.23626807120035265, 0.23634486402728194, 0.23642343297352589, 0.23650380814407848, 0.23658602026271389, 0.23667010067583985, 0.23675608135625642, 0.23684399490686062, 0.23693387456434525, 0.23702575420294228, 0.23711966833828063, 0.23721565213144111, 0.23731374139331507, 0.23741397258937277, 0.23751638284499685, 0.23762100995153421, 0.23772789237327194, 0.23783706925555489, 0.23794858043430353, 0.23806246644725168, 0.2381787685472255, 0.23829752871788992, 0.2384187896923968, 0.23854259497547267, 0.23866898886952354, 0.23879801650544993, 0.23892972387891509, 0.23906415789294683, 0.23920136640784345, 0.23934139829947954, 0.23948430352726774, 0.23963013321313958, 0.23977893973314918, 0.23993077682342065, 0.24008569970241206, 0.24024376521170721, 0.24040503197776092, 0.24056956059736895, 0.24073741384988701, 0.24090865693963054, 0.24108335777222548, 0.24126158726913954, 0.24144341972509412, 0.24162893321356391, 0.24181821004617432, 0.24201133729245144, 0.24220840736709964, 0.24240951869276889, 0.24261477644720481, 0.24282429340463821, 0.24303819088243192, 0.24325659980523229, 0.24347966190032794, 0.24370753103951603, 0.24394037474461053, 0.24417837587582106, 0.24442173452460056, 0.24467067013534172, 0.24492542388340854, 0.24518626134071128, 0.24545347546424198, 0.24572738994801313, 0.2460083629846132, 0.24629679148953004, 0.2472114637733191, 0.24821236573047897, 0.24932009604011568, 0.25056345483053877, 0.25198313953918855, 0.25363742587832833, 0.25561122041556328, 0.2580311155932733, 0.26109170941504256, 0.26510438883095055, 0.27059425986716612, 0.27850978863407472, 0.29072723882062035, 0.31144467653461216, 0.35181353518714503, 0.44938243735796379, 0.74814879252017819, 0.77224681839391884, 0.32903577499247022, 0.23998407964304774, 0.21968766022553185, 0.21405225348500678, 0.21252646461615829, 0.21233040178166493, 0.21257390216721081, 0.21293711878542354, 0.21329893927145019, 0.21361429775983626, 0.21386882099921051, 0.21406066552908762, 0.21419284193256694, 0.21426987369266493, 0.21429633984555116, 0.2142762633567705, 0.21421288414030146, 0.21410860457975203, 0.213965007654144, 0.21378290017357068, 0.21356235876929489, 0.21330276863063805, 0.21300285126089605, 0.21266068103807872, 0.2122736929109921, 0.21183868636925127, 0.21135183513952044, 0.21080871968112794, 0.21020441366036313, 0.20953368228562957, 0.20879140200110236, 0.20797341335883809, 0.20707822814500101, 0.20611045622724933, 0.20508780498728832, 0.20405581999613603, 0.20312033108703967, 0.2025232566073481, 0.20283417302657075, 0.20548702597099772, 0.21450296256126247, 0.24309611289127386, 0.34451518016313387, 0.72336502206560405, 0.97620289898358314, 0.61717902663859003, 0.44051725682006837, 0.36357461612864472, 0.32393836714666913, 0.3005781114552602, 0.28541645773493501, 0.27485506895304135, 0.26709115004315387, 0.26113559806502518, 0.25640560145662972, 0.25253749065375858, 0.24929339974882753, 0.24651147638906554, 0.24407779766132681, 0.24190976995254346, 0.23994592226259376, 0.23813942219704087, 0.23645385229977076, 0.23486042097335835, 0.23333613753059285, 0.23186269620445685, 0.23042596524967904, 0.22901611506067013, 0.22762859296609689, 0.22626643661900797, 0.22494495948394133, 0.22370096972165668, 0.22261119613180844, 0.22183057492353569, 0.22167638122412509, 0.22282707079147202, 0.2268378516645192, 0.23764328078793809, 0.26660889347916489, 0.35203144790982538, 0.62012044781861653, 0.97965906217536602, 0.73443955667732397, 0.51112603801568102, 0.40747297281757699, 0.35489392130424635, 0.32465424877946564, 0.30547235802260708, 0.29238243138950998, 0.28294292098815405, 0.27584010528866026, 0.27031433226588086, 0.26590016815122014, 0.26229871275751265, 0.25931045379254997, 0.25679789201590408, 0.25466371246320041, 0.25283749987473736, 0.25126736144864481, 0.24991447807308778, 0.2487494629609589, 0.24774986973437438, 0.24689845167230756, 0.24618192440567988, 0.24559007433999372, 0.24511511038449268, 0.24475119143623958, 0.24449408461774239, 0.24434092424399695, 0.24429005176144444, 0.24432395549943781, 0.24442589209266913, 0.24459654560605248, 0.24483708293198828, 0.24514919525794504, 0.24553515881429261, 0.2459979178670697, 0.24654119419040818, 0.24716962890899963, 0.24788896481752365, 0.24870628031372194, 0.24963029029621009, 0.25067173533367043, 0.25184388895840465, 0.25316322539370284, 0.25465030847769238, 0.25633099036033397, 0.25823805126004773, 0.2604134784854501, 0.26291169010618864, 0.26580418449429394, 0.26918639316825665, 0.273188028142967, 0.27798913540621961, 0.28384577537719752, 0.29113255464425231, 0.30041590714610289, 0.31258617882846357, 0.32910820046794886, 0.35252444179354581, 0.38752651379771325, 0.44334138538511708, 0.53883154394829391, 0.70765674127645173, 0.94074885365898175, 0.92394056633554078, 0.60340555123640605, 0.39415706147609636, 0.30167007695731962, 0.26032131553242199, 0.24049268635036433, 0.23042988952792406, 0.22516809140383562, 0.22242765274717047, 0.2210803054043573, 0.22053161964399071, 0.22045201619296356, 0.22065102287835126, 0.22101480313083371, 0.22147346266500323, 0.22198316293541484, 0.22251595544158245, 0.22305381134204769, 0.22358501394021812, 0.22410192437478638, 0.22459956762622443, 0.22507472056679487, 0.2255253138876252, 0.22595003397377403, 0.22634805425660356, 0.22671885160841276, 0.22706207927331176, 0.22737747776408038, 0.22766481146618264, 0.22792382277290663, 0.2281541982710325, 0.22835554332461311, 0.2285273626983842, 0.22866904584780987, 0.22877985634932119, 0.22885892580255845, 0.22890525357178929, 0.22891771516742224, 0.22889508423748486, 0.22883607659760455, 0.22873943043117537, 0.22860404643745791, 0.22842922840238911, 0.22821509426622444, 0.22796328162001184, 0.22767817247423475, 0.22736905762420248, 0.22705405436297851, 0.22676741880854664, 0.22657372629643577, 0.22659670162382348, 0.22708136163718345, 0.22853806968947321, 0.23210849792066077, 0.24061036725429788, 0.26199800654999728, 0.32302591273785075, 0.52662451026123247, 0.98157871284454423, 0.80095782989848519, 0.52692041608317886, 0.40980844989741955, 0.35483588541928768, 0.32485821163954559, 0.30655625287034949, 0.29442665179148342, 0.2858806524787082, 0.27956936544002281, 0.27473137434725714, 0.27090870406391365, 0.26781143074875424, 0.26524818545685397, 0.26308823071987897, 0.26123967939502157, 0.25963643080741261, 0.25823003923984372, 0.25698448722995471, 0.25587272962324908, 0.25487434946245374, 0.25397392961376014, 0.25315989459803506, 0.2524236661555907, 0.25175903038060121, 0.25116164842001482, 0.25062866495955211, 0.25015838375268734, 0.24974999005347961, 0.24940330759736778, 0.24911858363556219, 0.24889629993090809, 0.24873701076949808, 0.24864121100641701, 0.24860923799159895], [0.24578119646460922, 0.24582829871810871, 0.24597015525799387, 0.24620844707326256, 0.24654608396503097, 0.24698737643728813, 0.24753829713994324, 0.24820685641803319, 0.24900362982788488, 0.24994249543184954, 0.25104166964756025, 0.25232517994451553, 0.25382499419555637, 0.25558416480047269, 0.25766158822356355, 0.26013942171803023, 0.26313503530842591, 0.26682103944207453, 0.27146041900101064, 0.27747161743905369, 0.28555728322507606, 0.29698030039979223, 0.31421815816809512, 0.34272466009631414, 0.39648835652157632, 0.51853201561602791, 0.82504362927155195, 0.79543940477722408, 0.36662535187150658, 0.25718245997401507, 0.23026028706685459, 0.22300829943157405, 0.22161607392052815, 0.22223580952832092, 0.22358658324729794, 0.22519115371836507, 0.22686134375178316, 0.22852359637547068, 0.23015297797910453, 0.23174612887004245, 0.23330954536038362, 0.23485434679831452, 0.23639394880828599, 0.23794310537450902, 0.23951762943572796, 0.24113447420176845, 0.24281203026374817, 0.24457057857883344, 0.24643288473205199, 0.24842494744104959, 0.25057693473581921, 0.25292436031841403, 0.25550957382679912, 0.25838366473534008, 0.26160891269538949, 0.26526195916499928, 0.26943792713735304, 0.27425577588768363, 0.27986523748756731, 0.28645571785277146, 0.29426750152720255, 0.30360535502287617, 0.31485393130422579, 0.32849276733883226, 0.34510532091785678, 0.36537021254650415, 0.3900124851459163, 0.41967911583722023, 0.45469401597826398, 0.49466580070273442, 0.53800334161587748, 0.58155150616020557, 0.62069083338272013, 0.65012553809206663, 0.6651564271176087, 0.66290628716804101, 0.64311731019247043, 0.60840322173897377, 0.56376155276533646, 0.51521619597681045, 0.46810111317371406, 0.425914099263215, 0.39017156047542123, 0.36094176637162539, 0.33751831228083057, 0.31892448128689505, 0.3041947828369298, 0.29249401823514792, 0.28314611812552914, 0.27562253475694443, 0.26951720195621759, 0.26452040278680045, 0.26039614702847486, 0.25696411099668265, 0.25408579051229646, 0.25165409996144394, 0.24958563395450939, 0.24781492724599427, 0.24629019255663046, 0.24497014453184052, 0.24382162087482198, 0.24281778965239059, 0.24193678928992146, 0.24116068960872181, 0.24047469248947526, 0.23986651254673746, 0.23932589393891165, 0.23884423083501025, 0.23841426734760665, 0.23802985879944108, 0.23768578064443077, 0.23737757465701703, 0.23710142445423057, 0.23685405424964306, 0.23663264612085486, 0.23643477212042782, 0.23625833835997842, 0.23610153881116391, 0.23596281704169894, 0.23584083447331766, 0.23573444403715821, 0.23564266832936709, 0.23556468155009352, 0.23549979465330728, 0.23544744325136041, 0.23540717791327498, 0.23537865657437645, 0.23536163884105246, 0.23535598203120667, 0.23535691114368981, 0.23535969976946539, 0.23536435177669332, 0.23537087362291703, 0.23537927437104134, 0.23538956571179978, 0.23540176199283086, 0.23541588025449645, 0.23543194027261849, 0.23544996460834361, 0.23546997866537814, 0.23549201075487408, 0.23551609216830158, 0.23554225725864816, 0.23557054353039547, 0.23560099173869625, 0.23563364599829739, 0.23566855390276434, 0.23570576665465354, 0.23574533920733348, 0.23578733041922764, 0.23583180322136132, 0.23587882479913833, 0.23592846678941659, 0.2359808054940373, 0.23603592211108984, 0.23609390298532612, 0.23615483987929214, 0.23621883026691062, 0.23628597765142217, 0.23635639190981803, 0.23643018966611121, 0.2365074946960668, 0.23658843836629317, 0.23667316011092954, 0.23676180794954055, 0.23685453905023837, 0.23695152034253639, 0.23705292918496687, 0.23715895409313031, 0.23726979553451696, 0.23738566679725678, 0.23750679494086899, 0.23763342183812866, 0.23776580531837888, 0.23790422042401727, 0.23804896079349003, 0.23820034018601435, 0.23835869416540492, 0.23852438196294329, 0.23869778854218357, 0.23887932689206595, 0.23906944057882429, 0.2392686065919889, 0.23947733852553837, 0.23969619014203436, 0.23992575937571045, 0.2401666928401921, 0.24041969091819199, 0.24068551352460818, 0.24096498665150032, 0.24125900982415008, 0.24156856462272661, 0.24189472445517951, 0.24223866580528478, 0.24260168122724407, 0.24298519441741553, 0.24339077776776591, 0.24382017289898292, 0.2442753147893075, 0.244758360265868, 0.24527172181861118, 0.24581810794674916, 0.24640057157281392, 0.24702256848579904, 0.24768802833876127, 0.24840144147818635, 0.24916796589444892, 0.24999355995807809, 0.25088514849512833, 0.25185083237719896, 0.25290015548612721, 0.25404444815665245, 0.25529727376542566, 0.25667501621283573, 0.25819766252978715, 0.25988985980723162, 0.26178236418212486, 0.26391406035108678, 0.26633482803679209, 0.26910969386117445, 0.27232498273950401, 0.2760976668215312, 0.28058998987071676, 0.28603310940077004, 0.29276679209021622, 0.30130905624324811, 0.31248480045020732, 0.32767822875850117, 0.34936505893485631, 0.3823329295105195, 0.43675099544108315, 0.5364571858140158, 0.7377537009292493, 1.0685487835288268, 0.94414310109761002, 0.50860585311382733, 0.32863732498213677, 0.26586285849195102, 0.24179047305272894, 0.23195443736805985, 0.22802972146068848, 0.22678792521048005, 0.22683283881994037, 0.22750687132713215, 0.22847885054143824, 0.22957270925794174, 0.23069042509963131, 0.23177507444167894, 0.23279219085501998, 0.23371997583177898, 0.23454400383265625, 0.23525430301363381, 0.23584373292126845, 0.23630708698266742, 0.23664060511494095, 0.23684171815162683, 0.23690892130041905, 0.23684171815162725, 0.23664060511494145, 0.23630708698266747, 0.23584373292126784, 0.23525430301363426, 0.234544003832655, 0.23371997583177925, 0.23279219085502026, 0.2317750744416803, 0.23069042509963225, 0.22957270925794138, 0.22847885054143682, 0.22750687132713218, 0.22683283881994021, 0.22678792521048097, 0.22802972146068698, 0.23195443736806579, 0.2417904730527515, 0.26586285849195979, 0.32863732498206649, 0.50860585311376494, 0.94414310109740107, 1.0685487835287322, 0.73775370092909076, 0.53645718581396162, 0.4367509954410323, 0.38233292951055153, 0.34936505893483072, 0.32767822875849806, 0.31248480045021232, 0.3013090562432395, 0.29276679209021672, 0.2860331094007747, 0.28058998987071609, 0.27609766682153208, 0.27232498273950428, 0.26910969386117378, 0.2663348280367932, 0.26391406035108644, 0.26178236418212664, 0.2598898598072325, 0.2581976625297866, 0.25667501621283617, 0.25529727376542555, 0.25404444815665167, 0.25290015548612665, 0.25185083237719957, 0.25088514849512888, 0.24999355995807854, 0.24916796589444989, 0.24840144147818663, 0.24768802833876008, 0.24702256848579843, 0.24640057157281456, 0.24581810794674919, 0.24527172181861071, 0.24475836026586828, 0.24427531478930725, 0.24382017289898211, 0.24339077776776527, 0.24298519441741481, 0.24260168122724424, 0.24223866580528466, 0.24189472445518001, 0.24156856462272658, 0.24125900982415049, 0.24096498665150021, 0.24068551352460774, 0.24041969091819151, 0.24016669284019262, 0.2399257593757104, 0.23969619014203403, 0.23947733852553865, 0.23926860659198931, 0.2390694405788249, 0.23887932689206595, 0.23869778854218343, 0.23852438196294332, 0.23835869416540437, 0.23820034018601446, 0.23804896079349055, 0.2379042204240169, 0.23776580531837854, 0.23763342183812852, 0.23750679494086915, 0.23738566679725706, 0.23726979553451705, 0.23715895409312998, 0.23705292918496634, 0.23695152034253636, 0.23685453905023854, 0.23676180794954049, 0.23667316011092912, 0.23658843836629309, 0.23650749469606705, 0.2364301896661114, 0.23635639190981758, 0.23628597765142212, 0.23621883026690998, 0.23615483987929192, 0.23609390298532626, 0.23603592211108998, 0.23598080549403702, 0.2359284667894164, 0.23587882479913802, 0.23583180322136113, 0.23578733041922822, 0.23574533920733323, 0.23570576665465404, 0.23566855390276475, 0.2356336459982975, 0.23560099173869609, 0.23557054353039575, 0.23554225725864886, 0.23551609216830141, 0.23549201075487455, 0.235469978665378, 0.23544996460834358, 0.23543194027261866, 0.23541588025449631, 0.23540176199283083, 0.23538956571179995, 0.23537927437104106, 0.23537087362291712, 0.23536435177669363, 0.23535969976946577, 0.23535691114368992, 0.23535598203120586, 0.23535644654869334, 0.23535784028006251, 0.23536016376212973, 0.23536341788988416, 0.23536760391693959, 0.23537272345616431, 0.2353787784804825, 0.23538577132386404, 0.2353937046824908, 0.23540258161609737, 0.23541240554949633, 0.23542318027427667, 0.23543490995068739, 0.2354475991096884, 0.23546125265518836, 0.23547587586645374, 0.23549147440069729, 0.23550805429583838, 0.23552562197344523, 0.23554418424183751, 0.23556374829938134, 0.23558432173793947, 0.23560591254649874, 0.23562852911496984, 0.23565218023814971, 0.23567687511985444, 0.23570262337721004, 0.23572943504511659, 0.23575732058086118, 0.23578629086889194, 0.23581635722575028, 0.23584753140515044, 0.23587982560320822, 0.23591325246381228, 0.23594782508414264, 0.23598355702031584, 0.23602046229316989, 0.23605855539416809, 0.23609785129143096, 0.23613836543588068, 0.23618011376748835, 0.23622311272163732, 0.23626737923556632, 0.23631293075491272, 0.2363597852403255, 0.2364079611741588, 0.23645747756722349, 0.23650835396559228, 0.23656061045745089, 0.23661426767998087, 0.23666934682627355, 0.23672586965224965, 0.23678385848358982, 0.23684333622265397, 0.23690432635538769, 0.23696685295819683, 0.23703094070479477, 0.23709661487298886, 0.23716390135142748, 0.23723282664627643, 0.23730341788782941, 0.23737570283704826, 0.23744970989202241, 0.23752546809436187, 0.23760300713550928, 0.23768235736299467, 0.23776354978662842, 0.2378466160846647, 0.23793158860993838, 0.23801850039602357, 0.23810738516343605, 0.23819827732593205, 0.23829121199696104, 0.2383862249963406, 0.23848335285723521, 0.23858263283353948, 0.23868410290779071, 0.23878780179973694, 0.23889376897573764, 0.2390020446591769, 0.23911266984212051, 0.23922568629846563, 0.23934113659887693, 0.23945906412786425, 0.23957951310336606, 0.23970252859931285, 0.23982815657165307, 0.23995644388844142, 0.24008743836462659, 0.24022118880230819, 0.24035774503728011, 0.24049715799283478, 0.24063947974189445, 0.24078476357867895, 0.2409330641012872, 0.24108443730669768, 0.24123894069994356, 0.24139663341935902, 0.24155757638006412, 0.24172183243811587, 0.24188946657799978, 0.24206054612650271, 0.2422351409963065, 0.24241332396307491, 0.24259517098020139, 0.24278076153588324, 0.24297017905772325, 0.2431635113706225, 0.2433608512144165, 0.24356229682841796, 0.24376795261086825, 0.24397792986217276, 0.24419234762187214, 0.24441133361040115, 0.24463502528801984, 0.24486357104472389, 0.24509713153663018, 0.24533588118618169, 0.24558000986567508, 0.24582972478605158, 0.24608525261569872, 0.24634684185727734, 0.24661476551429037, 0.24688932408352365, 0.24717084891452135, 0.24745970598327172, 0.24775630013422179, 0.24806107985309095, 0.24902978969282183, 0.2500937806087562, 0.25127634030738738, 0.25261009547707036, 0.25414131628936509, 0.25593661419103475, 0.25809376372075488, 0.26075998554041352, 0.26416449411092502, 0.26868012521217816, 0.27494898702093923, 0.28416310067997924, 0.29876818858343568, 0.32451803195191764, 0.37781468857888539, 0.51880062576437536, 0.91274080887517739, 0.56796565709095781, 0.28594748898946515, 0.2318935823790613, 0.21845583648266184, 0.21463507270283258, 0.21368131947903055, 0.21367715126070072, 0.2139796219677948, 0.21435191069208087, 0.21470394145471239, 0.2150030793594826, 0.21524010924425441, 0.21541532031467744, 0.21553254661136848, 0.21559655967110367, 0.21561193804267176, 0.21558260516223074, 0.21551167153386644, 0.21540141204143787, 0.21525329824639317, 0.21506804752287637, 0.21484567118480871, 0.21458551378630211, 0.21428628089951496, 0.21394605556646298, 0.21356230576374072, 0.21313188765017338, 0.2126510531558255, 0.21211547717702567, 0.21152033200944889, 0.21086045991552824, 0.21013073933636683, 0.20932682788172929, 0.20844664251233433, 0.20749330917812317, 0.20648112859899126, 0.2054479831083551, 0.20448221718496629, 0.20378420247460233, 0.20381804599333381, 0.20572302979714593, 0.21257940792384511, 0.2340040155185257, 0.30651825168629393, 0.58514301552878589, 1.0368536564447817, 0.70922766340639809, 0.47999721729903222, 0.38338937825883823, 0.33576798958541054, 0.3085968813100135, 0.29137052259853441, 0.27957954264394741, 0.27102916990212556, 0.26454211632042945, 0.25943702354235182, 0.25529489059976707, 0.25184496903264136, 0.24890492538707112, 0.24634756779627232, 0.24408141337654898, 0.2420388598021293, 0.24016873192434701, 0.23843145372526492, 0.23679586373438224, 0.23523711286873669, 0.23373533106860608, 0.23227491300842831, 0.23084440830530684, 0.22943715433388825, 0.22805302112460363, 0.22670205998448759, 0.22541170265907184, 0.22424101857895173, 0.22330985884934249, 0.22286148432857594, 0.22340640665142311, 0.2260820845854376, 0.23365474681351317, 0.25371136513149473, 0.31049041634879987, 0.49015124967930901, 0.91242698004139977, 0.86263576750641102, 0.57815434275699695, 0.4394175753397821, 0.37248533611303314, 0.33568256909463179, 0.31310788672266548, 0.29808219896203203, 0.28744997662155664, 0.2795664410902316, 0.27350427040076092, 0.26870676403441174, 0.26482231215751256, 0.2616194272285513, 0.25894039714625, 0.2566746771780733, 0.25474293333747894, 0.25308710753158703, 0.25166402722910614, 0.25044117651601966, 0.24939382709787558, 0.24850304953829258, 0.24775430933409298, 0.24713646139759785, 0.24664102281973599, 0.24626164522340446, 0.24599373459378118, 0.24583418398992776, 0.24578119646460922, 0.24581650934026536, 0.24592269256420043, 0.24610048868977341, 0.24635116492617315, 0.24667655904627525, 0.24707914674261028, 0.2475621338357466, 0.24812957821096895, 0.24878654828806568, 0.24953932742647233, 0.2503956772402019, 0.2513651777979779, 0.25245966979958012, 0.25369383410517743, 0.25508595910412207, 0.25665896898349078, 0.25844182029487051, 0.26047142747478369, 0.26279536233371437, 0.26547570926735009, 0.2685946852565827, 0.27226302227878474, 0.27663279471516788, 0.28191762384422414, 0.28842555929024727, 0.29661461832782443, 0.30719066289008418, 0.32128844641618054, 0.34082533501708023, 0.36923484938370349, 0.41307738177118303, 0.48566109977368899, 0.6138573577314328, 0.83086984232601591, 1.0048269290242322, 0.77373391248919254, 0.48111265128084302, 0.3394087310031968, 0.27794154899132856, 0.24961028063981067, 0.2356427924502715, 0.22844848910350227, 0.2246948263384736, 0.22279441116484977, 0.22193685153146087, 0.22168423343444629, 0.22178873881042838, 0.2221047865772027, 0.22254424412214691, 0.22305246690553004, 0.22359494088166335, 0.22414956743001863, 0.22470206902043457, 0.22524317984609438, 0.22576688787840918, 0.22626931246211415, 0.22674797490052578, 0.22720131695714757, 0.22762837852046391, 0.22802857902180959, 0.22840156737500622, 0.22874711766522504, 0.22906505564981136, 0.22935520614793248, 0.22961735466120944, 0.22985121873627323, 0.23005642605931093, 0.2302324973249702, 0.23037883272745041, 0.23049470161671559, 0.23057923557009483, 0.23063142598438233, 0.23065012847721628, 0.23063407817390549, 0.23058192279731565, 0.23049228514412395, 0.230363874380621, 0.23019567909277311, 0.22998729877984989, 0.22973951332306944, 0.22945526940894476, 0.22914141495675239, 0.2288118144155811, 0.22849310236806053, 0.22823568954317708, 0.22813575419286566, 0.22838161876299207, 0.22935833120182858, 0.23190418806457608, 0.23801087532294624, 0.25301448550148947, 0.29372493807272743, 0.42357530700481838, 0.82887884808141077, 0.95135548765948252, 0.6082779925903139, 0.44567318314436849, 0.37378407685644599, 0.33658565384051709, 0.31471755684481539, 0.30061608061791434, 0.29088192625683207, 0.2838053593964861, 0.27844753656540888, 0.27425599735508949, 0.27088712762418088, 0.26811736882485659, 0.26579579845938367, 0.2638173834541821, 0.26210718394954868, 0.26061065185646559, 0.25928746845929668, 0.25810751322612169, 0.25704815661094221, 0.25609239713779208, 0.2552275482696641, 0.25444428882321851, 0.25373595598456555, 0.25309800065826915, 0.25252755117064807, 0.25202304910306522, 0.25158393364514375, 0.2512103602771561, 0.25090294686776871, 0.25066254589574449, 0.25049004561875315, 0.25038620559763936, 0.2503515329988425], [0.24727514001694978, 0.24732422967930748, 0.24747209176066104, 0.24772054036999572, 0.24807271810646891, 0.24853328562326316, 0.24910871060114795, 0.24980768408622464, 0.25064170747931791, 0.2516259166166519, 0.25278024558665063, 0.25413109129883943, 0.25571373677150977, 0.25757595723778348, 0.2597835277215545, 0.26242889323896901, 0.26564530604105213, 0.26963084241686508, 0.27469122340471042, 0.28132069434496659, 0.29036584879333799, 0.30338732889408376, 0.32354965222505483, 0.35813205121405062, 0.42689982460205372, 0.59333196863199877, 0.94624464998363056, 0.62177968459601374, 0.31671939482299449, 0.24647364993020748, 0.22828761592174251, 0.22348954977978278, 0.22290981978495877, 0.22382267794804853, 0.22528061959860757, 0.22692130959329163, 0.22860052618322793, 0.23026278788986904, 0.23189096570918352, 0.2334851870129418, 0.23505356602878019, 0.23660804087682386, 0.23816254014140381, 0.23973226622466118, 0.24133354492918885, 0.2429839873495146, 0.24470285051314516, 0.24651155413221257, 0.24843435043354919, 0.25049917011583783, 0.2527386890517036, 0.25519168264062336, 0.25790476146161839, 0.26093461643699428, 0.26435094765210293, 0.26824031217145611, 0.27271120646455466, 0.27790080055361072, 0.28398386000703102, 0.29118450895904174, 0.29979154526417628, 0.31017787644582173, 0.32282398440843468, 0.33834348407963594, 0.35750454423281697, 0.3812320607679478, 0.41055937640606383, 0.4464746217458046, 0.48958605783501752, 0.53955157097932549, 0.59435161553747207, 0.64976367444865335, 0.69961283859620427, 0.7370643734073673, 0.75637304725114318, 0.75413957012759136, 0.72989971030026557, 0.68650080383824552, 0.63002337682095622, 0.56838460440352567, 0.50888021443537745, 0.45627332101122969, 0.41246656457463665, 0.37732012167941215, 0.34968396202451174, 0.32812935056691328, 0.31132157526332732, 0.29815324124542347, 0.2877576839125468, 0.27947612266138544, 0.27281428778001288, 0.26740269516678988, 0.26296460770541996, 0.25929165811175198, 0.25622582100198993, 0.25364625327135543, 0.25145972977802178, 0.24959368632168066, 0.24799113901374475, 0.24660695204793637, 0.24540507667303488, 0.24435649292612666, 0.24343766297297395, 0.2426293594849043, 0.24191577098448683, 0.24128381330713347, 0.24072259564026113, 0.24022300338223734, 0.23977736995653604, 0.23937921686614322, 0.23902304647615522, 0.23870417582550343, 0.23841860258302952, 0.23816289635496896, 0.23793411011658522, 0.23772970772068769, 0.2375475043310695, 0.23738561731273422, 0.23724242563662001, 0.23711653626350568, 0.23700675628892967, 0.23691206987983796, 0.23683161923044288, 0.23676468892161759, 0.2367106931943759, 0.23666916575068525, 0.23663975177955554, 0.2366222019774111, 0.23661636839259845, 0.23661732660616461, 0.23662020258287017, 0.23662500033406866, 0.23663172655646, 0.23664039064882283, 0.23665100473554282, 0.23666358369706628, 0.23667814520741604, 0.23669470977896012, 0.23671330081465208, 0.23673394466800207, 0.23675667071107478, 0.23678151141086962, 0.23680850241444557, 0.23683768264326663, 0.23686909439721751, 0.23690278346886925, 0.2369387992685828, 0.23697719496113989, 0.23701802761464283, 0.23706135836250808, 0.23710725257948981, 0.23715578007272095, 0.23720701528890836, 0.23726103753891434, 0.23731793124108899, 0.23737778618486657, 0.23744069781629362, 0.23750676754734604, 0.23757610309107308, 0.23764881882484906, 0.23772503618424934, 0.23780488409035436, 0.2378884994135981, 0.23797602747763166, 0.23806762260708125, 0.23816344872352505, 0.2382636799945346, 0.23836850154120418, 0.23847811021027862, 0.23859271541772323, 0.23871254007147008, 0.23883782158206887, 0.23896881297111644, 0.23910578408866065, 0.23924902295230774, 0.23939883722252053, 0.23955555583066526, 0.23971953077873345, 0.23989113913248389, 0.24007078523300443, 0.24025890315553419, 0.24045595944892556, 0.24066245619446439, 0.24087893442912797, 0.24110597798590305, 0.2413442178128184, 0.24159433684317036, 0.24185707550242913, 0.24213323795306294, 0.24242369919760853, 0.24272941318358435, 0.24305142208231145, 0.24339086694876347, 0.24374900001282918, 0.24412719890613671, 0.24452698319574864, 0.24495003368028107, 0.24539821501051134, 0.24587360233172775, 0.24637851281807815, 0.24691554319178108, 0.24748761460870208, 0.24809802666882769, 0.24875052280642049, 0.24944936997353981, 0.25019945641296326, 0.25100641250948441, 0.25187676133762049, 0.25281810777226477, 0.2538393781680553, 0.25495112705037704, 0.25616593361575685, 0.25749892007168951, 0.25896843746677117, 0.26059698509656321, 0.26241246079089137, 0.26444988804593528, 0.26675384347200037, 0.26938193449466025, 0.27240988916062547, 0.27593918564636788, 0.28010880152257767, 0.28511387076647426, 0.29123636870994363, 0.29889766797432221, 0.30875290846296655, 0.32187011615602684, 0.34009321371277862, 0.36683687851262686, 0.40898869433404428, 0.48188558541716081, 0.622531008935582, 0.90297822810471318, 1.1366045633694579, 0.72042581632867797, 0.40580024363987244, 0.29466271633453373, 0.25411467984175734, 0.2379131910440262, 0.23124885940387072, 0.22874310040915669, 0.22818950044492675, 0.22859054352890884, 0.22945964159342577, 0.23054462532024844, 0.23170807533779847, 0.23287169327053783, 0.23398890987434043, 0.23503076610313867, 0.23597837656161641, 0.23681880730392252, 0.23754279152096991, 0.23814346347336132, 0.23861566733123976, 0.23895559243757367, 0.23916059153481264, 0.23922909773641854, 0.23916059153481312, 0.23895559243757428, 0.23861566733123979, 0.23814346347336071, 0.23754279152097044, 0.23681880730392124, 0.23597837656161669, 0.235030766103139, 0.23398890987434179, 0.2328716932705388, 0.231708075337798, 0.23054462532024689, 0.22945964159342583, 0.22859054352890873, 0.22818950044492756, 0.22874310040915583, 0.23124885940387466, 0.23791319104404177, 0.2541146798417635, 0.29466271633449015, 0.40580024363983247, 0.72042581632849434, 1.1366045633694375, 0.90297822810451767, 0.62253100893550561, 0.48188558541709525, 0.40898869433408508, 0.36683687851259517, 0.34009321371277479, 0.32187011615603256, 0.30875290846295689, 0.29889766797432304, 0.29123636870994918, 0.28511387076647321, 0.28010880152257889, 0.27593918564636838, 0.27240988916062475, 0.26938193449466136, 0.2667538434720001, 0.264449888045937, 0.26241246079089225, 0.26059698509656259, 0.25896843746677178, 0.25749892007168929, 0.25616593361575607, 0.25495112705037648, 0.2538393781680558, 0.25281810777226538, 0.25187676133762088, 0.25100641250948541, 0.25019945641296359, 0.24944936997353856, 0.24875052280641988, 0.24809802666882833, 0.24748761460870225, 0.24691554319178061, 0.2463785128180784, 0.24587360233172761, 0.24539821501051062, 0.24495003368028034, 0.24452698319574778, 0.24412719890613691, 0.24374900001282912, 0.243390866948764, 0.24305142208231137, 0.24272941318358471, 0.24242369919760851, 0.2421332379530626, 0.24185707550242869, 0.24159433684317091, 0.24134421781281831, 0.24110597798590264, 0.24087893442912825, 0.24066245619446483, 0.24045595944892628, 0.24025890315553414, 0.2400707852330044, 0.23989113913248386, 0.23971953077873287, 0.23955555583066529, 0.23939883722252106, 0.23924902295230746, 0.23910578408866029, 0.23896881297111633, 0.23883782158206904, 0.23871254007147027, 0.23859271541772337, 0.23847811021027834, 0.23836850154120368, 0.23826367999453452, 0.23816344872352516, 0.23806762260708117, 0.23797602747763116, 0.2378884994135981, 0.23780488409035463, 0.23772503618424953, 0.23764881882484848, 0.23757610309107291, 0.23750676754734537, 0.23744069781629346, 0.2373777861848668, 0.23731793124108913, 0.23726103753891395, 0.23720701528890814, 0.23715578007272065, 0.23710725257948956, 0.23706135836250869, 0.23701802761464263, 0.2369771949611405, 0.23693879926858322, 0.23690278346886931, 0.23686909439721743, 0.23683768264326699, 0.23680850241444643, 0.23678151141086937, 0.23675667071107528, 0.23673394466800199, 0.23671330081465217, 0.23669470977896023, 0.23667814520741592, 0.23666358369706619, 0.23665100473554304, 0.2366403906488225, 0.2366317265564602, 0.23662500033406891, 0.23662020258287053, 0.23661732660616472, 0.23661636839259761, 0.23661684745919037, 0.23661828484447386, 0.23662068110506387, 0.23662403716896888, 0.23662835433606927, 0.23663363427878764, 0.23663987904294234, 0.23664709104879972, 0.23665527309231649, 0.23666442834656642, 0.23667456036336521, 0.23668567307507923, 0.23669777079663265, 0.23671085822769347, 0.23672494045506007, 0.23674002295523089, 0.23675611159716711, 0.23677321264524023, 0.23679133276237507, 0.23681047901336741, 0.23683065886840757, 0.23685188020677411, 0.2368741513207199, 0.23689748091954477, 0.23692187813384744, 0.23694735251996391, 0.23697391406457929, 0.2370015731895318, 0.23703034075678142, 0.23706022807355875, 0.23709124689769048, 0.23712340944309204, 0.23715672838542864, 0.23719121686794001, 0.23722688850743426, 0.23726375740043015, 0.23730183812946251, 0.23734114576953086, 0.23738169589470079, 0.23742350458484429, 0.23746658843250981, 0.23751096454993717, 0.23755665057618094, 0.23760366468436683, 0.23765202558904761, 0.23770175255367554, 0.23775286539816723, 0.23780538450656027, 0.2378593308347538, 0.23791472591832344, 0.23797159188040881, 0.23802995143965425, 0.23808982791820704, 0.23815124524975684, 0.23821422798761405, 0.23827880131281501, 0.2383449910422587, 0.23841282363684818, 0.23848232620965884, 0.23855352653410969, 0.23862645305214542, 0.23870113488242928, 0.23877760182854477, 0.23885588438722316, 0.23893601375659115, 0.23901802184446902, 0.23910194127672221, 0.23918780540570833, 0.2392756483188313, 0.23936550484726149, 0.2394574105748557, 0.23955140184734242, 0.23964751578184315, 0.23974579027681425, 0.23984626402250697, 0.23994897651206631, 0.24005396805341273, 0.24016127978205656, 0.24027095367504803, 0.24038303256626922, 0.24049756016333212, 0.24061458106636491, 0.24073414078901767, 0.24085628578208723, 0.24098106346017178, 0.24110852223187781, 0.24123871153412835, 0.2413716818712292, 0.2415074848594076, 0.2416461732776693, 0.24178780112588785, 0.24193242369119297, 0.24208009762384144, 0.2422308810239035, 0.24238483354028217, 0.2425420164837262, 0.24270249295576996, 0.24286632799569105, 0.24303358874787467, 0.24320434465226001, 0.243378667660818, 0.24355663248341819, 0.24373831686676983, 0.24392380191061053, 0.24411317242575178, 0.24430651733915282, 0.24450393015179089, 0.24470550945573546, 0.24491135951760556, 0.24512159093640296, 0.24533632138465489, 0.24555567644281509, 0.24577979053808735, 0.24600880800011116, 0.24624288424747873, 0.24648218712071257, 0.24672689837927736, 0.24697721538237702, 0.24723335297579996, 0.24749554560995557, 0.24776404971754437, 0.24803914638318331, 0.24832114434170738, 0.24861038334712263, 0.2489072379602251, 0.2492121218101036, 0.24952549239312302, 0.24984785648306096, 0.25087485062817233, 0.25200721410485649, 0.25327130746881549, 0.25470415963519705, 0.25635850327323667, 0.25831070926992616, 0.26067379213889369, 0.26361974605466038, 0.26742007307222532, 0.272524278592219, 0.27972440025580919, 0.2905354934709008, 0.30819391081036113, 0.34075208950312869, 0.41303240145062226, 0.62225550923791628, 0.97108151607282567, 0.42580344269338644, 0.26110753599469888, 0.22709408265313441, 0.21804075844812273, 0.21546492048364274, 0.21491667488444188, 0.21504765679579305, 0.21538788642536016, 0.21576098841230285, 0.21610008522824431, 0.21638197702391057, 0.21660137896960011, 0.21676018521905158, 0.21686282024000203, 0.21691420035293413, 0.21691885920480555, 0.21688060332349504, 0.21680240871347395, 0.21668642297320145, 0.21653400841850487, 0.21634579551448049, 0.21612173238349325, 0.21586112432621468, 0.21556266148250483, 0.21522443514536516, 0.21484394504953652, 0.21441810206586107, 0.21394323406557317, 0.21341510862978905, 0.21282899714115039, 0.21217982510118735, 0.21146249215939206, 0.21067252055043695, 0.20980734122127445, 0.20886883901138581, 0.20786845233336407, 0.20683765237993695, 0.20585030817324926, 0.20507295343750703, 0.20488574173299084, 0.20620063702618266, 0.21140227718293231, 0.22759248371437241, 0.28016524974020746, 0.47751847183535573, 0.99849495142445344, 0.82362988848410301, 0.53046675206468219, 0.40740307119911934, 0.34949148085858223, 0.31760613789742859, 0.29790344218415293, 0.28467152984330879, 0.2752156838611558, 0.26812505368796336, 0.262598604307829, 0.25815131208878783, 0.25447375549647855, 0.25135980152397519, 0.24866699535185779, 0.246293717926613, 0.24416542962694826, 0.24222607796365975, 0.2404325682226679, 0.23875112729967804, 0.23715489310335061, 0.23562234992406519, 0.2341364122061077, 0.23268409684135274, 0.23125686317141464, 0.22985189243133577, 0.22847491164318887, 0.22714582132333264, 0.22590977621042327, 0.22485951960843653, 0.22418241802815125, 0.22426568659988458, 0.22595089068939986, 0.23121360619452655, 0.24522009304396661, 0.28355907354834492, 0.40092022594263343, 0.75311244794280241, 0.97894068211206153, 0.66884187233526193, 0.48111193274067054, 0.39417067647881304, 0.34867161602736818, 0.32179582943654317, 0.30439918383106457, 0.29234462533388966, 0.28354948635205895, 0.27687151772780733, 0.27163997918219956, 0.2674387685535593, 0.26399795387043656, 0.26113587612918471, 0.25872651189358925, 0.25668020373652073, 0.25493182295439509, 0.2534332441760147, 0.25214841619042561, 0.25105004812263032, 0.25011733073952858, 0.24933433930024457, 0.24868889684550727, 0.24817175660893309, 0.24777601163514795, 0.24749667110757559, 0.24733036343385539, 0.24727514001694978, 0.2473119425132112, 0.24742261566436116, 0.24760796615796951, 0.24786937128021636, 0.24820882981958065, 0.24862903687178739, 0.24913348646229519, 0.24972660761142543, 0.25041394171988579, 0.25120237220407038, 0.25210042153393114, 0.25311863677841767, 0.2542700932926158, 0.25557105860339618, 0.25704187694821728, 0.25870816265076801, 0.26060243310189246, 0.26276637885264686, 0.26525407525344413, 0.26813661557993002, 0.27150894141804266, 0.27550015959211055, 0.28028955578962045, 0.28613222733543642, 0.29340157263859623, 0.30266258788439987, 0.31480420734107406, 0.33129099881137158, 0.35467055250197416, 0.38966099862157261, 0.44560190528840837, 0.54183910566152538, 0.71412091329617711, 0.95878626972370118, 0.94714767520447052, 0.61229803414558037, 0.39713294498487467, 0.30355991292671347, 0.26215960398050742, 0.24245655047554085, 0.23252807162336431, 0.22738042679203668, 0.22473339453419033, 0.22346298798943359, 0.22297895661100425, 0.2229549651571669, 0.22320291819500804, 0.22361070016543169, 0.22410966963289547, 0.22465691175243532, 0.22522517025457925, 0.22579694471715164, 0.22636092997533494, 0.2269098146347103, 0.22743889031712855, 0.22794515640013985, 0.228426734117992, 0.22888247746675977, 0.22931171137475728, 0.22971405334060968, 0.23008929046998977, 0.23043729363754556, 0.23075795670907978, 0.23105115276005486, 0.23131670184845698, 0.23155434665139285, 0.23176373347534204, 0.23194439700814279, 0.23209574784065129, 0.23221706235793649, 0.23230747518399261, 0.23236597507137599, 0.23239140610706241, 0.23238247758353278, 0.23233778822707313, 0.23225587430800462, 0.23213529757475804, 0.23197479992575765, 0.23177357090086861, 0.23153170835674455, 0.23125101564933559, 0.23093639779769595, 0.23059835249026397, 0.23025752740288138, 0.22995332998206144, 0.22976085957802159, 0.22982590601024996, 0.23044190270694798, 0.23223272557686289, 0.23663155840840047, 0.24730277744004631, 0.27509405972984446, 0.3586623680479476, 0.64436067008108089, 1.0450961707752497, 0.72129904909766174, 0.49367443000401801, 0.3974766683478666, 0.35051035251488649, 0.32405441433204152, 0.30751013897172458, 0.29634564989046769, 0.28836816075119215, 0.28240923471630874, 0.27779740921686025, 0.27412290936091116, 0.27112321057077182, 0.26862330928095773, 0.26650267338711275, 0.26467603898093872, 0.26308178120841991, 0.26167461855573271, 0.26042089376072619, 0.25929543795939625, 0.25827943475646842, 0.25735892969267776, 0.25652376262700655, 0.25576677924667407, 0.25508322641216985, 0.25447026713766918, 0.2539265719821272, 0.25345195868806747, 0.25304706343832811, 0.2527130363446165, 0.25245126122175926, 0.25226310534905599, 0.2521497085487443, 0.25211182228427242], [0.24890700082622674, 0.24895819928189233, 0.24911243499024638, 0.24937166734625138, 0.24973929330586725, 0.25022035673415111, 0.25082186828266068, 0.25155326767916247, 0.25242707801806319, 0.25345982857038524, 0.25467336507454663, 0.25609673547365375, 0.25776895473823563, 0.25974315266874548, 0.26209296772707535, 0.26492272011038365, 0.2683842053954768, 0.27270563934037495, 0.27824415726776547, 0.28558704308028887, 0.29576202315286093, 0.31071644846304297, 0.33454422214109458, 0.37712645786761861, 0.46693871864226999, 0.69557602503051763, 0.97487485709127442, 0.48280947896808329, 0.28573484013999084, 0.2398150807671543, 0.227469263710218, 0.22441966667001151, 0.22444235114931887, 0.22557722359089027, 0.22711680824106423, 0.22878475921949395, 0.2304706945105312, 0.23213334669972774, 0.23376183028261571, 0.23535911281545335, 0.23693466584230846, 0.23850115770320537, 0.24007302263821556, 0.24166594633789595, 0.24329682848138995, 0.24498402025735516, 0.24674774966741, 0.24861070735558505, 0.250598801182084, 0.2527421133783444, 0.25507611771889677, 0.2576432407822794, 0.26049488527388437, 0.26369407902305447, 0.26731897607746385, 0.27146752314341022, 0.27626372374965524, 0.28186609259624557, 0.28847909866672361, 0.2963686384146777, 0.30588280859436368, 0.31747930597631369, 0.33176026770678707, 0.34951335092666042, 0.3717523560947158, 0.39973799840002527, 0.43493394949453762, 0.47881136301876315, 0.53237117269319967, 0.59527740076074365, 0.66473674243250658, 0.73479509926262254, 0.79707615231554696, 0.84313535677582396, 0.86681370394269419, 0.86486364526556292, 0.83651300941439044, 0.78395766253764587, 0.71362038562586994, 0.63553843672593113, 0.55992248210482509, 0.49365811954188904, 0.43938024849784219, 0.39669170587211405, 0.3638019864639091, 0.33863585732257007, 0.31934509486297813, 0.30445537624373625, 0.29285069989423068, 0.28370648911174451, 0.27641885469117311, 0.27054557812614127, 0.26576123090221004, 0.26182445962344547, 0.25855458937189341, 0.25581500339314833, 0.25350133348687365, 0.25153303216585698, 0.24984731751626832, 0.24839478731366663, 0.24713621397203286, 0.24604018080491943, 0.24508132257074658, 0.24423900380036018, 0.24349631708671934, 0.24283931729735111, 0.24225643126618468, 0.24173799912486843, 0.24127591520879568, 0.24086334489107941, 0.24049449976472206, 0.24016445800105166, 0.23986901994044135, 0.23960459135363318, 0.23936808858360073, 0.2391568611051812, 0.2389686280413387, 0.23880142593614542, 0.23865356566720516, 0.23852359682925892, 0.23841027826920294, 0.23831255372521387, 0.23822953173731237, 0.23816046916721495, 0.23810475780211313, 0.23806191362796769, 0.23803156844914913, 0.23801346360759276, 0.23800744561984258, 0.23800843414310102, 0.23801140109879459, 0.23801635064816745, 0.23802328973826611, 0.23803222811946767, 0.23804317837012878, 0.23805615592849316, 0.23807117913200029, 0.23808826926419979, 0.23810745060950089, 0.2381287505160343, 0.23815219946693708, 0.23817783116044075, 0.23820568259914424, 0.23823579418897806, 0.23826820984833649, 0.23830297712799395, 0.23834014734242881, 0.23837977571328758, 0.23842192152577987, 0.23846664829887806, 0.23851402397032126, 0.23856412109747208, 0.23861701707524052, 0.23867279437238548, 0.2387315407876516, 0.2387933497273545, 0.23885832050619848, 0.23892655867330964, 0.23899817636566406, 0.23907329269135466, 0.23915203414539049, 0.2392345350610347, 0.23932093810002633, 0.23941139478541121, 0.23950606608115305, 0.23960512302317494, 0.23970874740705173, 0.23981713253819562, 0.23993048405112893, 0.24004902080523466, 0.24017297586534447, 0.24030259757661118, 0.24043815074436212, 0.24057991793107586, 0.24072820088430388, 0.24088332211128691, 0.24104562661828752, 0.24121548383526475, 0.24139328974962052, 0.24157946927633159, 0.24177447889602507, 0.24197880959757048, 0.24219299016767248, 0.24241759087700687, 0.24265322762081384, 0.24290056658192183, 0.24316032949622932, 0.24343329961520996, 0.24372032847761724, 0.24402234362397132, 0.24434035741354235, 0.2446754771355954, 0.24502891664619986, 0.24540200981083604, 0.24579622609396229, 0.24621318871302678, 0.24665469587038819, 0.24712274569829773, 0.24761956570700561, 0.24814764772489484, 0.24870978957624323, 0.24930914507619192, 0.24994928436033617, 0.25063426714488107, 0.25136873228456541, 0.252158008032905, 0.25300824881830325, 0.25392660628323749, 0.25492144501684616, 0.25600261717863482, 0.25718181556868636, 0.25847303242373743, 0.25989316252006545, 0.26146280596721255, 0.26320735149786817, 0.26515846025589662, 0.26735613178955214, 0.26985163333804879, 0.27271173764365458, 0.27602499330904384, 0.27991124018527452, 0.28453646847824898, 0.29013679245820923, 0.29705860855980953, 0.30582885426816525, 0.31728434272591283, 0.33282454283813617, 0.35494187404300709, 0.38843026093160582, 0.44340302317792923, 0.54339170320293739, 0.7440879137921933, 1.0848121263444592, 1.0035210210972889, 0.54358314918405037, 0.34377214458661726, 0.27376389093014269, 0.24690099843626792, 0.23587268684249182, 0.2314108725172577, 0.2299343434899998, 0.22989833684716054, 0.23057632551113649, 0.23160251783476685, 0.23278226239254279, 0.23400693446145987, 0.2352131751583639, 0.23636233187207761, 0.23742965796488807, 0.23839846679018264, 0.23925690760306956, 0.23999617692345621, 0.24060953592320497, 0.241091786726988, 0.24143900926617842, 0.24164844187827722, 0.24171843572692578, 0.24164844187827766, 0.24143900926617906, 0.24109178672698808, 0.24060953592320439, 0.23999617692345684, 0.23925690760306828, 0.23839846679018303, 0.23742965796488838, 0.23636233187207917, 0.23521317515836479, 0.23400693446145943, 0.23278226239254118, 0.23160251783476685, 0.23057632551113635, 0.22989833684716118, 0.22993434348999942, 0.23141087251726039, 0.23587268684250218, 0.24690099843627267, 0.2737638909301135, 0.34377214458658861, 0.54358314918393091, 1.0035210210974062, 1.0848121263442534, 0.74408791379207551, 0.54339170320284491, 0.44340302317798336, 0.38843026093156541, 0.35494187404300259, 0.332824542838143, 0.31728434272590128, 0.30582885426816614, 0.29705860855981581, 0.29013679245820806, 0.28453646847825009, 0.27991124018527513, 0.27602499330904301, 0.27271173764365569, 0.26985163333804835, 0.2673561317895542, 0.26515846025589762, 0.26320735149786756, 0.26146280596721316, 0.25989316252006522, 0.25847303242373654, 0.25718181556868575, 0.25600261717863532, 0.25492144501684683, 0.25392660628323793, 0.2530082488183043, 0.25215800803290539, 0.25136873228456408, 0.25063426714488035, 0.24994928436033692, 0.24930914507619198, 0.24870978957624279, 0.248147647724895, 0.24761956570700538, 0.24712274569829693, 0.24665469587038744, 0.24621318871302594, 0.24579622609396243, 0.2454020098108359, 0.24502891664620036, 0.24467547713559534, 0.24434035741354276, 0.24402234362397118, 0.24372032847761677, 0.24343329961520949, 0.24316032949622984, 0.24290056658192172, 0.24265322762081348, 0.24241759087700712, 0.24219299016767298, 0.24197880959757112, 0.24177447889602502, 0.24157946927633145, 0.24139328974962043, 0.24121548383526423, 0.2410456266182876, 0.24088332211128755, 0.24072820088430355, 0.24057991793107544, 0.24043815074436189, 0.24030259757661124, 0.24017297586534472, 0.24004902080523488, 0.23993048405112871, 0.23981713253819506, 0.2397087474070517, 0.23960512302317502, 0.23950606608115296, 0.23941139478541074, 0.23932093810002628, 0.23923453506103498, 0.23915203414539069, 0.23907329269135411, 0.23899817636566387, 0.23892655867330895, 0.23885832050619832, 0.23879334972735461, 0.23873154078765171, 0.23867279437238517, 0.23861701707524036, 0.23856412109747172, 0.23851402397032104, 0.23846664829887868, 0.23842192152577957, 0.23837977571328811, 0.2383401473424292, 0.238302977127994, 0.23826820984833627, 0.23823579418897822, 0.23820568259914504, 0.2381778311604405, 0.23815219946693755, 0.23812875051603422, 0.23810745060950098, 0.2380882692641999, 0.23807117913200024, 0.23805615592849308, 0.23804317837012903, 0.23803222811946725, 0.23802328973826634, 0.23801635064816773, 0.23801140109879496, 0.23800843414310113, 0.23800744561984186, 0.23800793983977941, 0.23800942269202638, 0.23801189475399262, 0.23801535698836276, 0.23801981074360717, 0.23802525775469485, 0.23803170014400132, 0.23803914042242982, 0.23804758149073291, 0.2380570266410322, 0.23806747955854876, 0.23807894432353049, 0.23809142541339065, 0.23810492770503891, 0.23811945647742622, 0.23813501741428644, 0.2381516166070855, 0.23816926055816875, 0.23818795618411942, 0.23820771081930572, 0.2382285322196499, 0.2382504285665818, 0.23827340847120221, 0.23829748097864817, 0.23832265557265539, 0.23834894218032279, 0.23837635117707101, 0.23840489339180868, 0.23843458011228452, 0.23846542309063828, 0.23849743454914882, 0.23853062718616988, 0.23856501418225745, 0.23860060920648146, 0.23863742642293206, 0.23867548049739654, 0.23871478660422643, 0.23875536043337306, 0.23879721819760369, 0.2388403766398853, 0.23888485304092749, 0.23893066522690096, 0.23897783157729899, 0.23902637103296268, 0.23907630310424455, 0.23912764787932408, 0.2391804260326553, 0.23923465883354766, 0.23929036815487345, 0.23934757648189595, 0.23940630692121731, 0.23946658320983102, 0.23952842972428451, 0.23959187148994024, 0.23965693419033457, 0.23972364417662792, 0.23979202847715289, 0.23986211480703792, 0.23993393157793527, 0.24000750790783118, 0.24008287363095335, 0.240160059307782, 0.2402390962351667, 0.24032001645657472, 0.2404028527724722, 0.2404876387508765, 0.24057440873809197, 0.24066319786968016, 0.24075404208168852, 0.24084697812220685, 0.24094204356329943, 0.24103927681339057, 0.24113871713019375, 0.24124040463428187, 0.24134438032341912, 0.24145068608779344, 0.24155936472631864, 0.24167045996418071, 0.24178401647186051, 0.24190007988587048, 0.24201869683150354, 0.24213991494791676, 0.24226378291592318, 0.2423903504889382, 0.2425196685275455, 0.24265178903826534, 0.24278676521713549, 0.24292465149883946, 0.24306550361217483, 0.24320937864280032, 0.2433563351042751, 0.24350643301857086, 0.24365973400736807, 0.2438163013956085, 0.24397620032898035, 0.24413949790717507, 0.24430626333504485, 0.24447656809397816, 0.24465048613612664, 0.2448280941044452, 0.24500947158180475, 0.24519470137289476, 0.24538386982299612, 0.24557706717825253, 0.24577438799255641, 0.24597593158679529, 0.24618180256687955, 0.24639211140769529, 0.24660697511099564, 0.24682651794617763, 0.24705087228395547, 0.24728017953411269, 0.24751459119990363, 0.24775427006315182, 0.24799939151585915, 0.24825014505606735, 0.248506735967984, 0.24876938720892913, 0.24903834152860932, 0.24931386384962073, 0.24959624394199095, 0.24988579942916342, 0.25018287916808046, 0.2504878670522967, 0.2508011862943002, 0.25112330425188112, 0.2514547378735183, 0.25179605984994363, 0.25288607172102018, 0.25409270767327674, 0.25544584330685932, 0.25698757860968291, 0.2587781528032535, 0.26090538649483613, 0.26350039015545218, 0.26676500825167254, 0.27102262344587469, 0.27681894508542459, 0.28513960895318674, 0.29793267647794985, 0.31954876212961236, 0.36150915806410211, 0.46244363964987478, 0.77141140655263751, 0.81958845651955636, 0.34353889437171825, 0.24654870261361989, 0.22445904788196763, 0.21829159686435906, 0.21658537606635334, 0.21632765573590151, 0.21655401406648145, 0.21691744859322654, 0.21728614231776872, 0.21761074288573823, 0.21787528443435669, 0.2180775094154104, 0.21822053487317392, 0.21830921380026536, 0.21834854156327699, 0.21834298371569355, 0.21829622521325634, 0.21821111041803123, 0.21808966492941351, 0.2179331471923257, 0.21774210517843806, 0.21751642683175662, 0.21725537964043615, 0.21695763812677793, 0.21662130001645472, 0.21624389337487504, 0.21582237883059535, 0.21535315394099389, 0.21483207197240092, 0.21425449692174442, 0.21361543436650474, 0.21290981127646688, 0.21213304264663174, 0.21128215110717061, 0.21035796849855432, 0.20936950857978481, 0.20834285156421797, 0.20733983875502926, 0.20649935127299371, 0.20613444529171618, 0.20698071331918361, 0.21090409120408957, 0.22322712572386574, 0.26191217377311277, 0.40086196891833759, 0.87038883522773536, 0.95062373868674255, 0.59551677201557918, 0.43694503941969431, 0.36567144845709587, 0.32792045531584829, 0.30523666686791373, 0.29031228524547847, 0.27981247020842276, 0.27203579772682313, 0.26603571055953784, 0.26124836771254389, 0.25731886796985798, 0.25401343519544928, 0.2511720698127477, 0.24868160335252062, 0.24645965172547876, 0.24444468549348938, 0.24258968649777288, 0.2408579948091164, 0.23922055242219792, 0.2376540886289624, 0.23613999815348852, 0.23466380825491504, 0.233215262650106, 0.231789214756039, 0.2303877900104625, 0.22902478298745355, 0.22773430275437531, 0.22658800068248994, 0.22573070441730553, 0.22545825346753595, 0.22640009155736268, 0.2299884018057459, 0.23981078303617848, 0.26610989645526384, 0.34317603593431217, 0.5906991343898681, 1.0061256107252616, 0.78728880867229689, 0.53661194415707192, 0.4214858660196093, 0.36429740751880507, 0.33190904609985361, 0.3115856857192193, 0.29782552002930857, 0.28796164849775996, 0.2805745771580378, 0.27485043044479956, 0.27029395099447773, 0.26658888771758377, 0.26352517363949968, 0.26095866244035898, 0.25878774428293749, 0.25693918250969738, 0.25535921924367783, 0.25400781167291847, 0.25285479361291691, 0.25187725803880989, 0.25105773601302106, 0.25038290904303573, 0.24984268821043737, 0.24942955247231186, 0.24913807576720767, 0.24896459670690213, 0.24890700082622674, 0.24894538390229909, 0.24906082183669137, 0.24925419150050762, 0.2495269907287605, 0.24988139483823549, 0.2503203398192459, 0.25084763671267157, 0.25146812367130583, 0.25218786484008004, 0.25301440878221121, 0.25395712418264632, 0.25502763766142178, 0.25624040877961041, 0.25761349236661346, 0.25916956076860131, 0.26093729279559791, 0.2629532891549885, 0.26526475813994721, 0.26793335150044612, 0.27104075685536233, 0.27469704024215752, 0.27905341548945395, 0.28432236428588986, 0.29081039703831529, 0.29897343028776696, 0.30951448772123497, 0.32356472747225073, 0.34303806134486942, 0.37136976768518004, 0.41515103982179669, 0.48786364397691712, 0.61726533549147322, 0.84050944290490304, 1.0289382817578927, 0.79138105945498383, 0.48715199049019409, 0.34220092216462483, 0.28011776062093252, 0.25175091125121479, 0.23786572076106849, 0.2307673468856801, 0.22710062235334302, 0.22527512890341664, 0.22448197252883928, 0.22428541941592345, 0.22443958146354287, 0.22480040402467646, 0.22528092135507694, 0.22582737509801229, 0.22640592793159439, 0.22699500406363299, 0.22758073613484922, 0.22815418595366496, 0.22870960848028074, 0.22924334548485995, 0.22975310801508536, 0.23023750380057872, 0.23069572168983093, 0.23112731830845623, 0.23153207213020197, 0.23190988248563468, 0.23226069877740252, 0.23258447011530753, 0.23288110879168478, 0.23315046313168872, 0.23339229667253331, 0.23360627160324474, 0.23379193509812635, 0.23394870771878359, 0.23407587353084144, 0.23417257206451506, 0.23423779283459817, 0.23427037394838379, 0.23426900755510704, 0.23423225682891463, 0.23415859233800845, 0.23404646092160575, 0.23389440915633256, 0.23370129904395598, 0.23346668114911792, 0.23319144063602834, 0.2328789256904866, 0.2325369497446228, 0.2321814243644143, 0.23184314628008604, 0.23158095357382705, 0.23150842644102318, 0.23185125630769429, 0.23307959909786866, 0.23624208811380176, 0.24391113121871782, 0.26328234401645856, 0.31833554611727582, 0.50320765856516847, 0.9848146672001431, 0.8684361838386021, 0.55939552918610269, 0.42782682216872941, 0.36741991627090831, 0.33498618614108483, 0.31538814245880853, 0.30249038930918976, 0.29344704513990588, 0.2867903912501531, 0.28169826971357242, 0.27767904765159923, 0.27442288712726221, 0.27172598715464025, 0.26944950620372476, 0.26749609941667274, 0.26579591762014154, 0.26429793673979607, 0.26296441518073432, 0.26176725177769056, 0.26068553257466259, 0.25970383832139005, 0.25881104608148287, 0.25799945332728147, 0.25726411067579813, 0.25660228608875763, 0.25601300805225852, 0.25549665324981041, 0.25505455853262915, 0.25468864906135219, 0.25440108478370133, 0.25419393564813836, 0.25406890147676386, 0.25402709456075229], [0.25079853371380245, 0.25085197746668864, 0.25101300055212405, 0.25128372077628336, 0.25166781275222871, 0.25217073938353357, 0.25280010641398448, 0.25356617646083918, 0.25448259943075613, 0.25556744760477462, 0.25684469354172124, 0.25834635072214818, 0.2601156352401483, 0.26221174897263372, 0.26471732409790671, 0.26775039997974237, 0.27148445116035358, 0.27618343422291741, 0.28226651422212234, 0.29043563008722673, 0.30194773786155304, 0.3192564759098423, 0.34772713513908787, 0.40100209997499459, 0.52073411537000969, 0.8261500160032621, 0.85823001463511905, 0.39121625422897915, 0.26652173654129152, 0.23596185691237442, 0.22760600047464, 0.22582166096442308, 0.22629662322896224, 0.22760206185208559, 0.22920540462067704, 0.23089525445336948, 0.23258748852662595, 0.23425210760669743, 0.23588327267772605, 0.23748630243794261, 0.23907183958192962, 0.24065323254241186, 0.24224543594488909, 0.24386466796261538, 0.24552847391986074, 0.24725603669823301, 0.24906866923110046, 0.25099047587085482, 0.25304920212119497, 0.25527731835564227, 0.25771340975747736, 0.26040397700201739, 0.26340579521014162, 0.26678903850531832, 0.27064146220501939, 0.27507405538655572, 0.28022874827509009, 0.28628900050248679, 0.2934944277891377, 0.30216105619799438, 0.31270929292777389, 0.32570211184142828, 0.34189577694433881, 0.36230336413920161, 0.38826429307661126, 0.4214944865183734, 0.46405020447665968, 0.51806260236560764, 0.58500896651978518, 0.66431783670553846, 0.75159457309818389, 0.83786471698590581, 0.91173060236286452, 0.96390545880954637, 0.98997369651425449, 0.98870528781272771, 0.95898507634221353, 0.90024029959353857, 0.81670148007964716, 0.71979873454183807, 0.62399807340227886, 0.54003353700013279, 0.47216241466561432, 0.4198254835197609, 0.38035692914268582, 0.35076988991658192, 0.32850449801896248, 0.31159203921393913, 0.29859028134182231, 0.28846358755840829, 0.28047189711864645, 0.27408455458158093, 0.2689180174405148, 0.26469218908195885, 0.26120015748074416, 0.25828725072310577, 0.25583647691768452, 0.25375832516186453, 0.25198355415912188, 0.2504580407425025, 0.24913906060830349, 0.24799257431120791, 0.24699122593682546, 0.24611285219132781, 0.24533936077104004, 0.24465587857046645, 0.24405009898157182, 0.24351177746582198, 0.24303233855105119, 0.24260456729018334, 0.24222236527744567, 0.24188055640337777, 0.24157473122626438, 0.24130112154694805, 0.24105649877620505, 0.24083809117535523, 0.24064351617040292, 0.24047072478675885, 0.24031795589679653, 0.24018369846763205, 0.24006666037930993, 0.23996574268175949, 0.23988001839296599, 0.23980871512615998, 0.23975120098205091, 0.23970697326199836, 0.23967564965630739, 0.23965696164384917, 0.23965074990909441, 0.23965177019929301, 0.23965483250825112, 0.23965994115471267, 0.23966710334878233, 0.23967632921029669, 0.2396876317946596, 0.2397010271262858, 0.23971653423980918, 0.23973417522926618, 0.23975397530550246, 0.23977596286209285, 0.23980016955010819, 0.23982663036212715, 0.23985538372590448, 0.23988647160822549, 0.23991993962946051, 0.2399558371894675, 0.23999421760550954, 0.24003513826296449, 0.24007866077966655, 0.24012485118481239, 0.24017378011349272, 0.24022552301796909, 0.24028016039698866, 0.24033777804453454, 0.24039846731956743, 0.24046232543848237, 0.24052945579218449, 0.24059996828990532, 0.24067397973209326, 0.2407516142149925, 0.24083300356979889, 0.24091828783961647, 0.24100761579780602, 0.2411011455117256, 0.24119904495635222, 0.24130149268278386, 0.24140867854725004, 0.24152080450692737, 0.24163808548967869, 0.24176075034569899, 0.2418890428901094, 0.24202322304672744, 0.24216356810460568, 0.24231037410051406, 0.24246395734238096, 0.24262465609082076, 0.24279283241837238, 0.24296887426893804, 0.24315319774332636, 0.24334624964075846, 0.24354851029088423, 0.24376049671639852, 0.24398276617290141, 0.24421592012046878, 0.2444606086907147, 0.24471753572431645, 0.2449874644674197, 0.24527122403158538, 0.24556971674165393, 0.24588392651990806, 0.24621492848429427, 0.24656389997455844, 0.24693213326478841, 0.2473210502762207, 0.24773221967329018, 0.24816737681268633, 0.24862844712464185, 0.24911757364482037, 0.24963714959285638, 0.25018985712237141, 0.25077871366361509, 0.25140712766676732, 0.25207896606301694, 0.25279863643584566, 0.25357118779900795, 0.25440243509907512, 0.25529911422728191, 0.25626907662457488, 0.25732153577145356, 0.25846738238450112, 0.25971959162469804, 0.26109375503282384, 0.26260878377745406, 0.26428785058798443, 0.26615966946737102, 0.26826026165681449, 0.27063543486867503, 0.27334433076142228, 0.27646460966505554, 0.28010021023930531, 0.28439327793650532, 0.28954306784441403, 0.29583695993475473, 0.30370343160095425, 0.31380685669077213, 0.32722670778883722, 0.3458189262778319, 0.37300230937544021, 0.41562617056965179, 0.48881544781005326, 0.62880513654987669, 0.90827214904364528, 1.1749073812623043, 0.77506263433975964, 0.43053542161865377, 0.30628227771869332, 0.2609147125385925, 0.24275554192022589, 0.23522720001571029, 0.23233190479914706, 0.23161796239817997, 0.23197966251139007, 0.23287833774556915, 0.23403488827076555, 0.23529707633518082, 0.23657795095112114, 0.23782555721039356, 0.23900732510292574, 0.24010173167259061, 0.24109373670596981, 0.24197225324875554, 0.24272874990060986, 0.24335649632428527, 0.24385017724503674, 0.24420571474140618, 0.24442020247670601, 0.24449189295892279, 0.24442020247670657, 0.24420571474140684, 0.24385017724503669, 0.24335649632428463, 0.24272874990061039, 0.24197225324875429, 0.24109373670597017, 0.24010173167259097, 0.23900732510292724, 0.2378255572103945, 0.23657795095112069, 0.23529707633517918, 0.23403488827076557, 0.23287833774556899, 0.23197966251139071, 0.23161796239817997, 0.23233190479914867, 0.2352272000157172, 0.2427555419202298, 0.26091471253857457, 0.30628227771867428, 0.43053542161858399, 0.77506263433990519, 1.1749073812622817, 0.9082721490434893, 0.62880513654974124, 0.48881544781013009, 0.41562617056959794, 0.37300230937543349, 0.3458189262778395, 0.32722670778882312, 0.31380685669077329, 0.30370343160096125, 0.29583695993475345, 0.28954306784441564, 0.28439327793650615, 0.2801002102393047, 0.27646460966505682, 0.27334433076142195, 0.27063543486867703, 0.26826026165681549, 0.2661596694673703, 0.26428785058798504, 0.26260878377745378, 0.26109375503282289, 0.25971959162469743, 0.25846738238450184, 0.25732153577145422, 0.25626907662457538, 0.25529911422728302, 0.2544024350990754, 0.25357118779900645, 0.25279863643584505, 0.25207896606301761, 0.25140712766676737, 0.25077871366361454, 0.25018985712237157, 0.24963714959285618, 0.24911757364481957, 0.24862844712464111, 0.2481673768126855, 0.24773221967329034, 0.2473210502762207, 0.24693213326478888, 0.24656389997455841, 0.24621492848429466, 0.24588392651990798, 0.24556971674165351, 0.24527122403158497, 0.2449874644674202, 0.24471753572431643, 0.2444606086907144, 0.244215920120469, 0.24398276617290196, 0.24376049671639927, 0.24354851029088412, 0.24334624964075838, 0.24315319774332628, 0.24296887426893743, 0.24279283241837243, 0.24262465609082137, 0.2424639573423806, 0.24231037410051356, 0.24216356810460546, 0.24202322304672766, 0.24188904289010962, 0.24176075034569919, 0.24163808548967852, 0.2415208045069267, 0.24140867854724996, 0.24130149268278397, 0.24119904495635211, 0.24110114551172518, 0.24100761579780583, 0.24091828783961675, 0.24083300356979903, 0.24075161421499197, 0.24067397973209306, 0.24059996828990471, 0.24052945579218432, 0.24046232543848262, 0.24039846731956757, 0.24033777804453418, 0.24028016039698855, 0.24022552301796873, 0.24017378011349244, 0.24012485118481303, 0.24007866077966628, 0.24003513826296502, 0.23999421760550987, 0.23995583718946753, 0.23991993962946032, 0.23988647160822582, 0.23985538372590531, 0.23982663036212695, 0.23980016955010863, 0.23977596286209277, 0.23975397530550246, 0.23973417522926632, 0.23971653423980901, 0.23970102712628563, 0.23968763179465979, 0.23967632921029636, 0.23966710334878247, 0.23965994115471292, 0.23965483250825159, 0.23965177019929323, 0.23965074990909357, 0.23965126001092552, 0.2396527905161584, 0.23965534202411659, 0.23965891553403168, 0.23966351244558431, 0.2396691345596641, 0.23967578407933646, 0.23968346361103493, 0.23969217616596925, 0.23970192516174385, 0.23971271442420092, 0.23972454818947445, 0.23973743110626916, 0.23975136823834631, 0.23976636506723756, 0.23978242749517095, 0.23979956184821843, 0.23981777487965766, 0.23983707377356009, 0.23985746614858372, 0.23987896006200424, 0.23990156401394791, 0.23992528695184989, 0.23995013827513431, 0.23997612784010788, 0.24000326596507543, 0.24003156343566781, 0.24006103151039837, 0.2400916819264251, 0.24012352690553301, 0.240156579160336, 0.2401908519006889, 0.24022635884031401, 0.24026311420363827, 0.2403011327328482, 0.24034042969514377, 0.24038102089020885, 0.24042292265787921, 0.24046615188602061, 0.24051072601860646, 0.24055666306398557, 0.24060398160336258, 0.24065270079945231, 0.24070284040533976, 0.2407544207735148, 0.24080746286510041, 0.24086198825925664, 0.24091801916276187, 0.24097557841977024, 0.24103468952173768, 0.24109537661752264, 0.24115766452364595, 0.24122157873472067, 0.24128714543404223, 0.24135439150434412, 0.24142334453871309, 0.24149403285167781, 0.24156648549045323, 0.24164073224637184, 0.24171680366648882, 0.24179473106537874, 0.24187454653714036, 0.24195628296761376, 0.24203997404685035, 0.24212565428183752, 0.24221335900953281, 0.24230312441022442, 0.24239498752128444, 0.24248898625134763, 0.24258515939500067, 0.24268354664804326, 0.24278418862341586, 0.24288712686790095, 0.24299240387971593, 0.24310006312713844, 0.2432101490683288, 0.24332270717254204, 0.24343778394293702, 0.24355542694124235, 0.24367568481455618, 0.24379860732461511, 0.24392424537990071, 0.24405265107100038, 0.24418387770973152, 0.24431797987254403, 0.24445501344885809, 0.2445950356950177, 0.24473810529467677, 0.24488428242650562, 0.2450336288402559, 0.24518620794231213, 0.2453420848920414, 0.24550132671039035, 0.24566400240236552, 0.24583018309525093, 0.2459999421946005, 0.24617335556036413, 0.24635050170570963, 0.24653146202146445, 0.24671632102945362, 0.24690516666835205, 0.24709809061617324, 0.24729518865393155, 0.24749656107561713, 0.2477023131501836, 0.24791255564195297, 0.24812740539659925, 0.24834698600070707, 0.24857142852387493, 0.24880087235340381, 0.249035466132834, 0.24927536881692955, 0.24952075085731437, 0.24977179553467052, 0.25002870045545811, 0.25029167923336276, 0.25056096337832728, 0.25083680441900907, 0.25111947628798104, 0.25140927800299862, 0.2517065366822942, 0.25201161093731833, 0.25232489469262859, 0.25264682149012874, 0.25297786934358368, 0.25331856621976956, 0.2536694962348845, 0.25403130666963414, 0.25518961555612107, 0.25647711790603744, 0.25792771443765722, 0.25958935442614506, 0.26153101085122665, 0.26385396508942827, 0.26671087158291079, 0.27033966438616946, 0.27512765821443508, 0.2817419907532368, 0.29142029629405602, 0.30669758434566402, 0.33352002319361762, 0.38875853505965274, 0.53390579998937282, 0.94438037906484107, 0.60491013475947553, 0.2972404133897637, 0.23807095765982889, 0.22335941494104869, 0.21914210599922193, 0.21805369405769878, 0.21800638313909129, 0.2183002358144463, 0.21867704466353288, 0.21903824919844439, 0.21934788264672947, 0.2195955866364048, 0.2197814644306107, 0.21990957969222463, 0.21998510301029356, 0.22001306938043166, 0.21999786754641779, 0.21994306463061339, 0.21985138128340104, 0.21972472950444052, 0.2195642711074984, 0.21937047698754344, 0.21914317827133559, 0.21888160588359162, 0.21858441786600399, 0.21824971540707216, 0.21787504982722805, 0.21745742435350643, 0.21699329710352383, 0.21647859630713237, 0.21590876721196745, 0.2152788856820517, 0.21458390269172622, 0.21381913977848768, 0.2129812651868894, 0.21207020263918219, 0.21109289226010927, 0.21007085250534296, 0.20905588253754195, 0.20816416375477001, 0.20765485162009101, 0.2081257753636753, 0.21105243568874715, 0.22048221125448955, 0.24935708746502186, 0.34812654188730974, 0.71420602222270346, 1.056425076859115, 0.6790487441825207, 0.47370307107619908, 0.3849725037958926, 0.33988111472728927, 0.31359480308092941, 0.29667773872378056, 0.28497250381313183, 0.2764153391686035, 0.2698825129890508, 0.26471604361735013, 0.2605075459044221, 0.25699114808636836, 0.25398669494505816, 0.25136786760966456, 0.24904341770672528, 0.24694566813034732, 0.24502322497052795, 0.24323623200294123, 0.24155322493914241, 0.23994904325997626, 0.2384034943267411, 0.23690062186993299, 0.23542856049782887, 0.23398010320869564, 0.23255432734497622, 0.2311600203842874, 0.22982244461735432, 0.22859670601391724, 0.22759497813428964, 0.22704469880911216, 0.22742134545671988, 0.22977772804013319, 0.23665203346091815, 0.25492933751745034, 0.3063777128045187, 0.46957250363007452, 0.89884162505349263, 0.92283781602063242, 0.61127335640402958, 0.45653482148815344, 0.38341275551586174, 0.34387581081073759, 0.31990886207832431, 0.30409093226859196, 0.29296856717249808, 0.28476223955507585, 0.27847754718086376, 0.27352174490018394, 0.26952264008206217, 0.26623641066701725, 0.26349766949971598, 0.26119096017702464, 0.25923374632829055, 0.25756586486160438, 0.25614276731644509, 0.25493106271669314, 0.25390550435647463, 0.25304690934076368, 0.25234069740058956, 0.25177585203672959, 0.25134417780792562, 0.25103977178663417, 0.25085865564047943, 0.25079853371380245, 0.2508385996620659, 0.25095911138550986, 0.2511610224516565, 0.25144596253275925, 0.25181630022695017, 0.25227523568412402, 0.25282692823859865, 0.25347666656542656, 0.25423109196509747, 0.25509848961711751, 0.25608916858270986, 0.25721595982487283, 0.25849487385760384, 0.25994597790096602, 0.2615945799336265, 0.26347284927792847, 0.26562206954574286, 0.26809582581863484, 0.27096460199686245, 0.27432255767340963, 0.27829776331658929, 0.28306808639768732, 0.28888662125638187, 0.29612384976750805, 0.30534039924998174, 0.31741850630961876, 0.3338123747392383, 0.35705406717324917, 0.39184266892244229, 0.44752173575140475, 0.54365321447492898, 0.71759638375421286, 0.97270580708675347, 0.97265076584611454, 0.62513616753321222, 0.40231948486338998, 0.3067153794587229, 0.26485326814845273, 0.2450892047343084, 0.23520371594580747, 0.23012266398673228, 0.22754314276487589, 0.22633520363815532, 0.22590769015743087, 0.22593483403058223, 0.22622943567386, 0.22668024640445747, 0.22721936720924418, 0.22780449248626453, 0.22840885925578069, 0.22901536662212912, 0.22961303556132714, 0.2301948243035245, 0.23075625098061944, 0.23129450884598304, 0.23180788854687337, 0.23229539543037728, 0.23275649277702631, 0.23319092749898607, 0.23359861048647429, 0.2339795335161915, 0.23433371079176338, 0.23466113714372308, 0.23496175749934284, 0.23523544394418514, 0.23548197785176581, 0.23570103535593886, 0.23589217501552795, 0.23605482696596125, 0.23618828324129337, 0.2362916893496331, 0.2363640376714525, 0.23640416392565367, 0.23641074896606662, 0.23638232977927412, 0.23631732617009638, 0.2362140939648322, 0.23607102291313306, 0.23588671015064883, 0.23566026242864324, 0.235391820635029, 0.23508347488199549, 0.23474088139040739, 0.23437617570870908, 0.23401336183296803, 0.23369862398091221, 0.23352091036971373, 0.23365524124686501, 0.2344600038993388, 0.23671431369151688, 0.24226112300184036, 0.25600127770927239, 0.29322572847472711, 0.41160866840831301, 0.8041874537215552, 1.0198077517410844, 0.65034522050944288, 0.46754077436023017, 0.38833143144128734, 0.34800352970382115, 0.32455102642930994, 0.30953837016274499, 0.29922764376762889, 0.29175804550452628, 0.28611551880453628, 0.28170672926328566, 0.27816420988380475, 0.27524963850013623, 0.2728025002754576, 0.27071128548940543, 0.26889656397390949, 0.2673006436385284, 0.26588104055822509, 0.26460623882385736, 0.26345286921350913, 0.26240378847452261, 0.26144673898038018, 0.26057338319489765, 0.25977857599808746, 0.25905978082491665, 0.25841656430890542, 0.25785012548286146, 0.25736283345571415, 0.25695776374926343, 0.25663823848898354, 0.25640738855742212, 0.25626776506949367, 0.2562210314605563], [0.25271318987939917, 0.25276901533375823, 0.25293723997745987, 0.25322015541885645, 0.25362174126879738, 0.25414792155446742, 0.25480695843701084, 0.25561002492966745, 0.2565720220737055, 0.25771274272492728, 0.25905854288385316, 0.26064477876876235, 0.26251943407182776, 0.26474865592701285, 0.26742545856787309, 0.27068389045568908, 0.27472304997759384, 0.27984979219927564, 0.28655913666525185, 0.29569649844423129, 0.30881411982313783, 0.32904250510566047, 0.36353023904607545, 0.43150960864585897, 0.59454011182026134, 0.95978820047382152, 0.67547662014701992, 0.33398061325430994, 0.25442905160617874, 0.23384935826625977, 0.22828182291278176, 0.22742448065337389, 0.22823951619837848, 0.22967426941082603, 0.23132548843507447, 0.23303131534438984, 0.23472811122848503, 0.23639481403800133, 0.23802964484966008, 0.23963985030244636, 0.24123707156295504, 0.24283528292707152, 0.24444996602649394, 0.24609791409096948, 0.24779738713718083, 0.24956849387925037, 0.25143375516828359, 0.25341884894295413, 0.25555356787044642, 0.25787304852632792, 0.26041936176838981, 0.2632435935499402, 0.26640860009372941, 0.26999269944245186, 0.27409467479199745, 0.27884063099097434, 0.28439348914284307, 0.29096626021815958, 0.29884075161047768, 0.30839407623388715, 0.32013626255892447, 0.33476326929763045, 0.35323019568151809, 0.37684759693901659, 0.40739458397324219, 0.44721392768916135, 0.4991829895930473, 0.56630957645400082, 0.65051018037626618, 0.75019183404059742, 0.85739032567129259, 0.95766719692490077, 1.0360770787870406, 1.0855106836278052, 1.1080450543234874, 1.1077950338528058, 1.0835404386495133, 1.0285621454232603, 0.93922924654205875, 0.82476062425359598, 0.70512148617722026, 0.59834929057970621, 0.51257953140785706, 0.44764626405773533, 0.39976616012970723, 0.36466257800912372, 0.33877248222941447, 0.31944775225445304, 0.30481100347449941, 0.29355305087862149, 0.28476187534922248, 0.27779766757406144, 0.27220656933118642, 0.2676624059990404, 0.26392752252185092, 0.26082636241478724, 0.25822749482786783, 0.25603125644336722, 0.25416115224618435, 0.25255779742652268, 0.25117459635414602, 0.24997462294074288, 0.24892834179033346, 0.24801192470116357, 0.24720599357055875, 0.24649467208904199, 0.24586486343712671, 0.24530569508286021, 0.24480808833501119, 0.2443644219045556, 0.24396826693427653, 0.24361417682140163, 0.24329751938956576, 0.24301434204703695, 0.24276126283078123, 0.24253538191191085, 0.24233420938962222, 0.24215560614274212, 0.24199773522257251, 0.24185902181683802, 0.24173812023509927, 0.24163388669240718, 0.24154535692333268, 0.24147172786005419, 0.24141234276885382, 0.24136667936891437, 0.24133434056324041, 0.24131504749966998, 0.2413086347548673, 0.24130968798950161, 0.24131284918657128, 0.24131812282941001, 0.24132551640302968, 0.24133504041337958, 0.24134670841443462, 0.24136053704326255, 0.24137654606323589, 0.24139475841561289, 0.24141520027975011, 0.24143790114225369, 0.24146289387542447, 0.24149021482541774, 0.24151990391055569, 0.24155200473035426, 0.24158656468581113, 0.24162363511164203, 0.24166327142117583, 0.24170553326473346, 0.2417504847023855, 0.24179819439208075, 0.24184873579427504, 0.24190218739425567, 0.24195863294353731, 0.24201816172182231, 0.24208086882118676, 0.24214685545433107, 0.24221622928893433, 0.24228910481038002, 0.24236560371534971, 0.24244585533908969, 0.24252999711944384, 0.24261817510111541, 0.2427105444840105, 0.24280727021996809, 0.24290852766270063, 0.24301450327633331, 0.24312539540860423, 0.24324141513552197, 0.24336278718516419, 0.24348975094924971, 0.24362256159226908, 0.24376149126925017, 0.24390683046473391, 0.24405888946726337, 0.24421799999570865, 0.24438451699606667, 0.24455882063012277, 0.24474131848050878, 0.24493244800045794, 0.24513267924092522, 0.24534251789291384, 0.24556250868899776, 0.24579323921528112, 0.24603534419374021, 0.24628951030523638, 0.24655648163597516, 0.24683706584518428, 0.24713214116996063, 0.24744266440532164, 0.24776968002446118, 0.24811433063725738, 0.2484778690258001, 0.24886167204615259, 0.24926725674829514, 0.24969629914471803, 0.2501506561569668, 0.25063239139446136, 0.2511438055792698, 0.25168747263467345, 0.25226628271902768, 0.25288349382913872, 0.25354279404643776, 0.25424837709237191, 0.25500503464947583, 0.25581826996676593, 0.25669443870973918, 0.25764092499234931, 0.25866636326977005, 0.25978092061701258, 0.26099665938359645, 0.26232800808651846, 0.26379237991056209, 0.26541099527518264, 0.26720999075292362, 0.26922193639375208, 0.27148794602819376, 0.27406066565547321, 0.27700859077840317, 0.28042244451448312, 0.28442483949462494, 0.28918533540838703, 0.29494467629519827, 0.30205527936609955, 0.31105184304186889, 0.32278081772162565, 0.33865224891090961, 0.3611650037969204, 0.39509505290556102, 0.45043667376949703, 0.55022908720980879, 0.7489242023710706, 1.0957039481092994, 1.0647089809176784, 0.58411519657524191, 0.36155874606623173, 0.2830601814268498, 0.25293148647711172, 0.24051316518576166, 0.23542409494082481, 0.23366920578787412, 0.23353080773104387, 0.23420275775511323, 0.2352796114502006, 0.23654563017410293, 0.23788029513915132, 0.23921312827252805, 0.24050091853934646, 0.24171575553965161, 0.24283854612388142, 0.24385543479551303, 0.24475581815844882, 0.24553125934105161, 0.24617491949293785, 0.24668128665841002, 0.24704607110664975, 0.24726618653114257, 0.2473397666827751, 0.24726618653114307, 0.24704607110665053, 0.24668128665841008, 0.24617491949293721, 0.24553125934105202, 0.24475581815844744, 0.24385543479551333, 0.24283854612388184, 0.24171575553965302, 0.24050091853934744, 0.23921312827252747, 0.2378802951391496, 0.23654563017410299, 0.23527961145020038, 0.23420275775511382, 0.23353080773104412, 0.23366920578787495, 0.23542409494082936, 0.24051316518576493, 0.25293148647709857, 0.28306018142683648, 0.36155874606618771, 0.58411519657534727, 1.0647089809179286, 1.0957039481091346, 0.74892420237088586, 0.55022908720991071, 0.45043667376942359, 0.39509505290555308, 0.36116500379692967, 0.33865224891089324, 0.32278081772162698, 0.311051843041877, 0.30205527936609777, 0.29494467629519999, 0.28918533540838826, 0.2844248394946241, 0.28042244451448445, 0.27700859077840279, 0.27406066565547538, 0.27148794602819476, 0.26922193639375136, 0.26720999075292429, 0.26541099527518236, 0.26379237991056115, 0.26232800808651791, 0.26099665938359706, 0.2597809206170133, 0.25866636326977044, 0.25764092499235053, 0.25669443870973951, 0.25581826996676454, 0.25500503464947499, 0.2542483770923728, 0.25354279404643787, 0.25288349382913822, 0.2522662827190279, 0.25168747263467323, 0.25114380557926896, 0.25063239139446059, 0.25015065615696586, 0.24969629914471816, 0.24926725674829506, 0.24886167204615312, 0.24847786902579994, 0.24811433063725769, 0.24776968002446115, 0.24744266440532126, 0.24713214116996002, 0.24683706584518489, 0.24655648163597513, 0.24628951030523599, 0.24603534419374037, 0.24579323921528171, 0.24556250868899851, 0.24534251789291378, 0.24513267924092508, 0.24493244800045794, 0.24474131848050817, 0.24455882063012285, 0.24438451699606728, 0.24421799999570831, 0.24405888946726301, 0.2439068304647336, 0.24376149126925037, 0.24362256159226925, 0.24348975094924982, 0.24336278718516388, 0.24324141513552142, 0.24312539540860417, 0.24301450327633345, 0.24290852766270049, 0.24280727021996759, 0.24271054448401039, 0.2426181751011158, 0.24252999711944401, 0.24244585533908908, 0.24236560371534957, 0.24228910481037941, 0.24221622928893416, 0.24214685545433109, 0.24208086882118687, 0.24201816172182206, 0.24195863294353714, 0.24190218739425542, 0.24184873579427482, 0.24179819439208136, 0.2417504847023853, 0.24170553326473412, 0.24166327142117633, 0.24162363511164212, 0.24158656468581099, 0.24155200473035454, 0.24151990391055653, 0.2414902148254176, 0.24146289387542491, 0.24143790114225358, 0.24141520027975011, 0.24139475841561303, 0.24137654606323575, 0.24136053704326244, 0.24134670841443481, 0.24133504041337919, 0.24132551640302982, 0.24131812282941023, 0.24131284918657162, 0.24130968798950175, 0.24130863475486641, 0.24130916132727187, 0.24131074125188351, 0.24131337515100895, 0.24131706406220679, 0.24132180943886569, 0.24132761315101167, 0.24133447748633835, 0.24134240515147704, 0.24135139927349544, 0.24136146340162346, 0.24137260150921572, 0.24138481799594155, 0.24139811769021494, 0.24141250585184526, 0.24142798817493274, 0.24144457079099188, 0.24146226027231138, 0.24148106363554611, 0.241500988345552, 0.24152204231944113, 0.24154423393089522, 0.24156757201469772, 0.24159206587150933, 0.24161772527288608, 0.24164456046652844, 0.24167258218177473, 0.24170180163532629, 0.24173223053722362, 0.24176388109704963, 0.24179676603037764, 0.24183089856546078, 0.24186629245015856, 0.24190296195910188, 0.24194092190109601, 0.24198018762676934, 0.24202077503644964, 0.24206270058828716, 0.2421059813066064, 0.24215063479050128, 0.24219667922266305, 0.24224413337843564, 0.2422930166351191, 0.24234334898148807, 0.24239515102755557, 0.24244844401455543, 0.24250324982516278, 0.24255959099393948, 0.24261749071800451, 0.24267697286793569, 0.24273806199889372, 0.24280078336198166, 0.24286516291582383, 0.24293122733838163, 0.24299900403899871, 0.24306852117068548, 0.24313980764264181, 0.24321289313303615, 0.24328780810202835, 0.24336458380507539, 0.24344325230650923, 0.24352384649341538, 0.24360640008983347, 0.24369094767129348, 0.24377752467973554, 0.24386616743882669, 0.24395691316973819, 0.24404980000741197, 0.24414486701739652, 0.2442421542132964, 0.24434170257493806, 0.24444355406732776, 0.24454775166051537, 0.24465433935049144, 0.24476336218125733, 0.24487486626823274, 0.24498889882319391, 0.24510550818096322, 0.24522474382808962, 0.24534665643381959, 0.24547129788367075, 0.24559872131599209, 0.24572898116192446, 0.24586213318923841, 0.24599823455061326, 0.2461373438369428, 0.24627952113639998, 0.24642482810002311, 0.24657332801473589, 0.24672508588478975, 0.24688016852278472, 0.24703864465152695, 0.24720058501817668, 0.24736606252229931, 0.24753515235963625, 0.24770793218365364, 0.24788448228713122, 0.2480648858064082, 0.24824922895113463, 0.24843760126277398, 0.24863009590549745, 0.24882680999349732, 0.24902784495930153, 0.24923330696815013, 0.24944330738416046, 0.24965796329464773, 0.24987739809976237, 0.25010174217546521, 0.25033113361880793, 0.25056571908560232, 0.25080565473178523, 0.25105110727118407, 0.251302255163942, 0.25155928995169796, 0.25182241775761549, 0.25209186097172065, 0.25236786014465157, 0.25265067611601544, 0.25294059240706845, 0.25323791791153527, 0.25354298992313162, 0.25385617754386575, 0.25417788552370968, 0.25450855858975024, 0.25484868633194041, 0.25519880872308931, 0.25555952236334178, 0.25593148755429596, 0.25631543632590076, 0.25754778103726456, 0.25892340725484125, 0.26048084847138914, 0.26227483969260718, 0.26438458159821304, 0.26692729769888346, 0.27008150867822223, 0.27412920853615441, 0.27953739653820886, 0.28712856463657427, 0.29847380941263785, 0.31692035012280034, 0.35076050116579238, 0.42538385021071745, 0.63958582519363139, 1.0180815443420261, 0.45186201927385489, 0.27052645643776063, 0.23311685065607693, 0.22314507492109525, 0.22027402376621461, 0.21962736754007761, 0.21973041410729385, 0.22006917982200846, 0.22045044426193844, 0.22080065247784639, 0.22109406965586856, 0.22132465033771631, 0.22149429993677461, 0.221607780218505, 0.22167046780036301, 0.22168738817566272, 0.22166283308750195, 0.22160024500513348, 0.22150222001149319, 0.22137055804448369, 0.22120632649531649, 0.22100992124077434, 0.22078111812121479, 0.22051911234041205, 0.22022254555987678, 0.21988952179452792, 0.21951761430154737, 0.21910386703569612, 0.21864479652477725, 0.21813640409568094, 0.21757421580884315, 0.21695338111988352, 0.21626888673944561, 0.21551599047406972, 0.21469107379685723, 0.21379330025354068, 0.21282785831398238, 0.21181241687415148, 0.2107903620877036, 0.20985909489764346, 0.20923397336761132, 0.20940361494562554, 0.21154416886601568, 0.21876839578721941, 0.24054469654882946, 0.31165844690062944, 0.57742381913391982, 1.0874348905570952, 0.78523713088565428, 0.52014517578058361, 0.40812393035477601, 0.35365197328231224, 0.32293499621478716, 0.30363727142576857, 0.29052308107723496, 0.28106882518115239, 0.27393166071774727, 0.26833957227265809, 0.26382047158612537, 0.26007078612297557, 0.25688695826218388, 0.25412754976474222, 0.25169120678407159, 0.24950329650248124, 0.24750750974416424, 0.24566042811620256, 0.24392793344619135, 0.24228281486193387, 0.24070320449542612, 0.23917164772770103, 0.23767474620402174, 0.2362034447706727, 0.23475421604142185, 0.23333171007437989, 0.23195404924690202, 0.23066324288597312, 0.22954611546131365, 0.22877818183493737, 0.2287212270699468, 0.23015757040519857, 0.23490999199946089, 0.24769770755674095, 0.28259873387155809, 0.38890438930098981, 0.72290329828286659, 1.0280332538919834, 0.71197557552815049, 0.50244167386036565, 0.40701531548750791, 0.3579698747711122, 0.32937100907607325, 0.3110276178531669, 0.29840220760174024, 0.28923814303443623, 0.28230929154366124, 0.2769009640513887, 0.2725724619978282, 0.2690393490997719, 0.26611105674556929, 0.26365591794969956, 0.26158062509339242, 0.2598176644613277, 0.25831735791183319, 0.25704266823132782, 0.255965718958094, 0.25506541059584648, 0.25432575809418489, 0.25373471606457626, 0.2532833432992227, 0.25296521082729245, 0.25277599132771589, 0.25271318987939917, 0.25275504090446954, 0.25288093554665564, 0.253091911768627, 0.25338974442822548, 0.25377701522628249, 0.25425721602125217, 0.25483489152159, 0.25551583006936707, 0.25630731485612263, 0.25721845292064771, 0.25826060635051984, 0.25944796028906048, 0.26079827726849764, 0.2623339096503956, 0.26408317579109769, 0.26608225800915192, 0.2683778635143485, 0.27103102412898256, 0.27412263454996139, 0.27776171180040599, 0.28209803394306082, 0.28734204944903485, 0.29379728919828269, 0.30191515066009322, 0.31239156517785027, 0.32634619685921468, 0.34567387913354963, 0.37377837379321227, 0.4172047191344268, 0.48941655900406267, 0.61859376658815479, 0.84550003205294189, 1.0505593118398493, 0.81344901284238691, 0.49648390355858169, 0.34680464086890628, 0.28344515861845598, 0.25475754891367786, 0.240822957381363, 0.23375559599240195, 0.23014229538572953, 0.2283740162859178, 0.22763596228759886, 0.22749083819031457, 0.22769269088537639, 0.2280978803442178, 0.22861996483146935, 0.22920568888873355, 0.22982165745447949, 0.23044667099155236, 0.23106717894021947, 0.23167451020510707, 0.23226314680971238, 0.23282962605588536, 0.23337183010833629, 0.23388851923938439, 0.23437902103445696, 0.23484302095937895, 0.23528041966849284, 0.23569123473294862, 0.23607553217964472, 0.23643337814553886, 0.23676480413164602, 0.23706978142795396, 0.23734820167033321, 0.23759986143196421, 0.23782444940500286, 0.23802153520001276, 0.23819055915704776, 0.23833082288294799, 0.23844148056026229, 0.23852153147716598, 0.23856981478978664, 0.23858500837579091, 0.23856563497602584, 0.23851008099222326, 0.23841663690283058, 0.23828357431408481, 0.23810928505134146, 0.23789252587589649, 0.23763284495627693, 0.23733132599661999, 0.23699189899379977, 0.23662368783735471, 0.23624531508623298, 0.23589304237610556, 0.23563677487471141, 0.23561309205335154, 0.23609766809933544, 0.23767655941889176, 0.24169219583258558, 0.25155707959448137, 0.27728677512156091, 0.35431386127702363, 0.62200088412842125, 1.0850962179127499, 0.77525615373224266, 0.52068182346875658, 0.41445776078019581, 0.36344076846286294, 0.33502565249147587, 0.31739168105802729, 0.30555503997318656, 0.29712885830447905, 0.29085078486514804, 0.28599938235711381, 0.28213614284863908, 0.27898091978825901, 0.27634729585357376, 0.27410700293883589, 0.27216934803596499, 0.27046881840787923, 0.26895735535489634, 0.26759940039431052, 0.26636864381244513, 0.26524584637616339, 0.26421734855310142, 0.26327402013315487, 0.26241048419341195, 0.26162449871514964, 0.26091641170070429, 0.26028863034151029, 0.25974506708120626, 0.25929054804018875, 0.25893019253528216, 0.25866879444055196, 0.25851025336467309, 0.25845711207235933], [0.25388484486901708, 0.25394303926122214, 0.25411843097978798, 0.25441349731008173, 0.2548325442342797, 0.25538199042581439, 0.25607080446909092, 0.25691114308925095, 0.2579192657829722, 0.25911684422339754, 0.26053285426290618, 0.2622063543694616, 0.26419065468998448, 0.26655973953512757, 0.26941847384120021, 0.27291942468613617, 0.27729179580821917, 0.28289377983440966, 0.29031320205552796, 0.30057582814049028, 0.31561783436494473, 0.33948855151617735, 0.38189447240772528, 0.47059634418099461, 0.69585910751521773, 1.0158501837038432, 0.51954968474203667, 0.29778312605678792, 0.24621947887387505, 0.23229196679840947, 0.22870002689308255, 0.22851911232553901, 0.22958125994892511, 0.23110488980620159, 0.23278352827705978, 0.23449333648529086, 0.23618663294428097, 0.23784935892435774, 0.23948291071691724, 0.24109603503135094, 0.24270115670726503, 0.24431276785016379, 0.24594682771163803, 0.2476206921307707, 0.24935335150217949, 0.25116588257092726, 0.25308208612411193, 0.25512932329042293, 0.25733959402714446, 0.25975093168613439, 0.26240922393882005, 0.26537061929805766, 0.26870474810897704, 0.27249908870056083, 0.2768649606313352, 0.28194585389794141, 0.28792914560549038, 0.29506277369071388, 0.30367921601880909, 0.31423027083342286, 0.32733774720659847, 0.34386719154876982, 0.36503351378021126, 0.39254615963910161, 0.4287889935280792, 0.4769838456841628, 0.54115568460538699, 0.62542374787718413, 0.73172806540297586, 0.85532931755023878, 0.98040471521306727, 1.083444809300204, 1.148197038974494, 1.1773838127272704, 1.1861668784850157, 1.1867717816436805, 1.1785566271745318, 1.1466277470637312, 1.071629400959228, 0.95058553595338613, 0.80688586333266143, 0.67163337986272154, 0.56217241920748662, 0.48055959399302384, 0.42178252631401347, 0.37973525565180566, 0.34941388153652148, 0.32721879099092993, 0.31068310985525383, 0.29813909703564268, 0.28845602872037029, 0.28085893392777556, 0.27480890793550278, 0.26992518271635002, 0.26593433379078019, 0.26263689241904986, 0.25988513002596419, 0.25756806968977031, 0.25560122586392842, 0.25391947813771143, 0.25247205112824606, 0.2512189295086138, 0.2501282643933706, 0.24917447365534146, 0.24833683419790409, 0.24759842725653131, 0.24694533998177839, 0.24636605512400528, 0.24585098022447247, 0.24539208129975038, 0.24498259553184804, 0.24461680422849802, 0.24428985215336108, 0.2439976028226091, 0.2437365219167523, 0.24350358283648146, 0.24329618982784434, 0.24311211514814351, 0.24294944753390105, 0.24280654983344505, 0.24268202412786294, 0.24257468302069021, 0.24248352605474538, 0.24240772043323922, 0.24234658539610052, 0.24229957974218078, 0.24226629210191664, 0.2422464336595766, 0.24223983310436598, 0.24224091722864885, 0.2422441711474376, 0.24224959950256236, 0.24225721004377967, 0.24226701364891395, 0.24227902435218654, 0.24229325938089183, 0.24230973920059681, 0.24232848756910019, 0.24234953159942796, 0.24237290183219318, 0.24239863231769274, 0.24242676070818814, 0.24245732836083417, 0.24249038045185062, 0.24252596610251481, 0.24256413851770514, 0.24260495513775024, 0.24264847780445439, 0.242694772942255, 0.24274391175556251, 0.24279597044348269, 0.242851030433195, 0.24290917863344724, 0.24297050770975848, 0.24303511638309933, 0.24310310975400856, 0.24317459965432234, 0.24324970502893592, 0.24332855235026551, 0.24341127606840823, 0.2434980191003096, 0.24358893336164678, 0.24368418034555628, 0.24378393175282298, 0.24388837017871046, 0.24399768986222098, 0.2441120975043061, 0.24423181316234688, 0.24435707122918057, 0.24448812150599078, 0.24462523037962552, 0.24476868211632058, 0.24491878028543893, 0.24507584932872539, 0.24524023629278424, 0.24541231274503122, 0.24559247689637453, 0.2457811559573522, 0.24597880875858483, 0.24618592867121794, 0.2464030468687437, 0.24663073597837426, 0.24686961417818043, 0.24712034980585013, 0.24738366655641925, 0.24766034936021492, 0.24795125104898058, 0.2482572999384485, 0.24857950848035396, 0.24891898316712113, 0.24927693590960931, 0.24965469715417704, 0.25005373106229795, 0.25047565314698189, 0.25092225084938719, 0.25139550765149404, 0.25189763146342259, 0.25243108820642096, 0.25299864174703346, 0.253603401641804, 0.25424888054821326, 0.2549390636788198, 0.25567849336683657, 0.25647237273600842, 0.25732669371636852, 0.25824839635040936, 0.259245568681641, 0.26032769979034237, 0.26150600316021222, 0.26279383416424668, 0.26420723503669502, 0.26576565480291847, 0.26749291275653819, 0.26941850626440467, 0.27157941372606009, 0.27402262301416203, 0.27680874504127573, 0.28001728804375181, 0.28375453942658529, 0.28816566135740773, 0.29345382079661736, 0.29991150577404224, 0.3079738682071182, 0.31831387968873442, 0.3320215129840578, 0.35096336742992712, 0.37856073937108747, 0.42162466962386186, 0.49508101345776528, 0.63447249610384093, 0.9131049188340461, 1.2117586167634435, 0.83417976971294694, 0.45763874643843522, 0.3186318264128235, 0.26783056797626037, 0.24745915815787331, 0.23894403865155767, 0.23559204408356677, 0.2346773755369887, 0.23497382316074047, 0.23588484239699078, 0.23710145476985295, 0.23845501753312431, 0.23984903664834725, 0.24122565366918042, 0.24254837205213675, 0.2437928214298673, 0.24494169244308409, 0.24598192435942998, 0.24690315099892388, 0.24769686743954994, 0.24835601498042587, 0.24887480701069675, 0.24924868754209481, 0.24947435403235677, 0.24954980058975151, 0.24947435403235729, 0.24924868754209559, 0.24887480701069675, 0.24835601498042512, 0.24769686743955049, 0.24690315099892254, 0.24598192435943037, 0.2449416924430845, 0.24379282142986877, 0.24254837205213767, 0.24122565366917997, 0.23984903664834545, 0.23845501753312445, 0.23710145476985281, 0.23588484239699142, 0.234973823160741, 0.23467737553698903, 0.23559204408356968, 0.2389440386515605, 0.24745915815786498, 0.26783056797625027, 0.31863182641279575, 0.45763874643850067, 0.83417976971327545, 1.2117586167633891, 0.91310491883378897, 0.63447249610398848, 0.49508101345766842, 0.42162466962385081, 0.37856073937109774, 0.35096336742990691, 0.33202151298405957, 0.31831387968874392, 0.30797386820711586, 0.29991150577404441, 0.29345382079661875, 0.28816566135740695, 0.2837545394265869, 0.28001728804375126, 0.276808745041278, 0.27402262301416297, 0.27157941372605943, 0.26941850626440533, 0.26749291275653791, 0.26576565480291753, 0.26420723503669441, 0.26279383416424745, 0.261506003160213, 0.26032769979034281, 0.25924556868164217, 0.2582483963504098, 0.25732669371636713, 0.2564723727360077, 0.25567849336683746, 0.2549390636788198, 0.25424888054821271, 0.25360340164180423, 0.25299864174703313, 0.25243108820642013, 0.25189763146342187, 0.2513955076514931, 0.2509222508493873, 0.25047565314698189, 0.25005373106229856, 0.24965469715417704, 0.24927693590960975, 0.24891898316712111, 0.24857950848035348, 0.248257299938448, 0.24795125104898108, 0.24766034936021486, 0.24738366655641886, 0.24712034980585038, 0.24686961417818093, 0.24663073597837495, 0.2464030468687437, 0.24618592867121786, 0.24597880875858469, 0.24578115595735162, 0.24559247689637456, 0.24541231274503192, 0.24524023629278402, 0.24507584932872489, 0.24491878028543873, 0.24476868211632075, 0.24462523037962575, 0.244488121505991, 0.24435707122918032, 0.24423181316234618, 0.24411209750430604, 0.24399768986222109, 0.24388837017871043, 0.24378393175282254, 0.24368418034555617, 0.24358893336164714, 0.24349801910030983, 0.24341127606840754, 0.24332855235026532, 0.24324970502893523, 0.24317459965432209, 0.2431031097540087, 0.24303511638309938, 0.24297050770975812, 0.24290917863344699, 0.24285103043319473, 0.24279597044348253, 0.24274391175556306, 0.24269477294225478, 0.24264847780445506, 0.24260495513775063, 0.24256413851770531, 0.24252596610251459, 0.24249038045185095, 0.24245732836083508, 0.24242676070818786, 0.24239863231769329, 0.24237290183219315, 0.24234953159942799, 0.2423284875691003, 0.2423097392005967, 0.24229325938089175, 0.24227902435218676, 0.24226701364891362, 0.24225721004377984, 0.24224959950256261, 0.24224417114743801, 0.24224091722864896, 0.24223983310436512, 0.24224037512001517, 0.24224200138178092, 0.24224471253423779, 0.24224850965208169, 0.24225339424074346, 0.24225936823724678, 0.24226643401130302, 0.24227459436666116, 0.24228385254270041, 0.24229421221626493, 0.2423056775037512, 0.24231825296343715, 0.24233194359806676, 0.24234675485767235, 0.24236269264265678, 0.24237976330711941, 0.24239797366243721, 0.24241733098109311, 0.24243784300076557, 0.24245951792865666, 0.24248236444609636, 0.24250639171338453, 0.24253160937489632, 0.24255802756444894, 0.24258565691092243, 0.24261450854414335, 0.24264459410102435, 0.2426759257319763, 0.24270851610757338, 0.24274237842548338, 0.24277752641766975, 0.2428139743578534, 0.24285173706924271, 0.24289082993252883, 0.24293126889415795, 0.24297307047486047, 0.24301625177846117, 0.24306083050095079, 0.24310682493983682, 0.24315425400376503, 0.24320313722240489, 0.24325349475662678, 0.24330534740893545, 0.24335871663419348, 0.24341362455061086, 0.24347009395102362, 0.24352814831444689, 0.24358781181791134, 0.24364910934858613, 0.24371206651618837, 0.2437767096656904, 0.2438430658903176, 0.24391116304485394, 0.24398102975925581, 0.24405269545258534, 0.24412619034727132, 0.24420154548371611, 0.24427879273524822, 0.24435796482345995, 0.24443909533393093, 0.24452221873237245, 0.24460737038122016, 0.24469458655670159, 0.24478390446643281, 0.2448753622675709, 0.24496899908559522, 0.24506485503376199, 0.24516297123332259, 0.24526338983456852, 0.24536615403882098, 0.24547130812145915, 0.24557889745612227, 0.24568896854023353, 0.24580156902201231, 0.24591674772916389, 0.24603455469947116, 0.24615504121354129, 0.24627825982998353, 0.24640426442335678, 0.24653311022524468, 0.24666485386889206, 0.24679955343786741, 0.24693726851929343, 0.2470780602622725, 0.24722199144217083, 0.24736912653157356, 0.24751953177876718, 0.24767327529476432, 0.24783042714997394, 0.24799105948180217, 0.24815524661458313, 0.24832306519345554, 0.24849459433397661, 0.24866991578948969, 0.24884911413852928, 0.24903227699477953, 0.24921949524248516, 0.24941086330048312, 0.24960647941846287, 0.24980644600949539, 0.25001087002332156, 0.25021986336549623, 0.25043354336803103, 0.25065203331792951, 0.25087546305072744, 0.25110396961705628, 0.25133769803121792, 0.2515768021118448, 0.25182144542599005, 0.25207180234939364, 0.25232805925728413, 0.2525904158618611, 0.25285908671473645, 0.25313430289492989, 0.25341631390577235, 0.25370538980716711, 0.25400182361328039, 0.25430593398989143, 0.25461806829046774, 0.25493860597567164, 0.25526796246756744, 0.25560659349756965, 0.25595500001620491, 0.25631373374358607, 0.2566834034521977, 0.25706468208887268, 0.25745831486094967, 0.25786512843354614, 0.25917437325649612, 0.26064234928859031, 0.26231284200230648, 0.26424835172752442, 0.26653991542370659, 0.26932345583224176, 0.27280832852401038, 0.27733009368171813, 0.28345499906290433, 0.29220498940613554, 0.3055962940871127, 0.32811774827743989, 0.37159747365328571, 0.47540449627343839, 0.79199377377216307, 0.87521583921122903, 0.36133547835594715, 0.25412496175220989, 0.22975075167360909, 0.22291164319171133, 0.22097816942512566, 0.22064210963439282, 0.22084556041028566, 0.22120745889976259, 0.22158254698255692, 0.2219160476042952, 0.22218993164174658, 0.22240134998748498, 0.2225534786327252, 0.22265150692215069, 0.22270087119083387, 0.22270650383477986, 0.22267254953982243, 0.22260229507175538, 0.2224981923363917, 0.22236191693992288, 0.22219443461747754, 0.22199606270101466, 0.22176652114853856, 0.22150497133533739, 0.22121004270089414, 0.22087984845217484, 0.22051199244633909, 0.22010357058298008, 0.21965117205317547, 0.21915088940451055, 0.21859835294065486, 0.21798881697255268, 0.2173173476387518, 0.2165792038111142, 0.21577058314753597, 0.2148900651052261, 0.21394141077455703, 0.21293908141177526, 0.21191941515862175, 0.21096415890751455, 0.21025264668167254, 0.21018556658280688, 0.21170532792903637, 0.21722519489564193, 0.23375580382276162, 0.28558460671359664, 0.47346428537319601, 1.0110053638169028, 0.91341140023631096, 0.5789219540796442, 0.43536624408456742, 0.3687501594350675, 0.33255576681249627, 0.31041946009023941, 0.2956719135123011, 0.28520081029805744, 0.27739121170347258, 0.27133294995911639, 0.26647831526756494, 0.26247973837229177, 0.25910674644564868, 0.25620073169410923, 0.25364899346735259, 0.25136916966950212, 0.24929954422505338, 0.24739282224532561, 0.24561203479388213, 0.24392780773105205, 0.24231655289027923, 0.24075933792604637, 0.23924133079765708, 0.23775184097456697, 0.23628513589566252, 0.23484246316391133, 0.23343618300307076, 0.23209789197895353, 0.23089457051350726, 0.2299618463549859, 0.22957625829072884, 0.23032361876211774, 0.23352794598270321, 0.24247581105975916, 0.26644638717012709, 0.33625175587377759, 0.56358139255764306, 1.0200247632541497, 0.8421079615595487, 0.56312973857851001, 0.43583589902708425, 0.37388897796645765, 0.33933323628961254, 0.31787855820024025, 0.3034632517712515, 0.29318945480943526, 0.28553089322848502, 0.2796196277867346, 0.27493098494181945, 0.27113177104488956, 0.2680017174462811, 0.26539032577318394, 0.26319193900090448, 0.26133071161874027, 0.25975120889818737, 0.25841233740438635, 0.25728331750515743, 0.25634094786061906, 0.25556771167873571, 0.25495044715418597, 0.25447940714493661, 0.25414759603916248, 0.25395031151099356, 0.25388484486901708, 0.25392847133178104, 0.25405972200920585, 0.25427972550564709, 0.25459041277316696, 0.25499459498464566, 0.25549607876687036, 0.2560998257441896, 0.25681216650245947, 0.25764108335102276, 0.25859658219405285, 0.25969118226123378, 0.26094056468753518, 0.26236443901649326, 0.26398771392218934, 0.26584210021626858, 0.26796833963936634, 0.27041935774491926, 0.27326481119743684, 0.27659778977588817, 0.28054493684923604, 0.28528215546617847, 0.29105974854517003, 0.29824410169186577, 0.30738963449858109, 0.31936888167375449, 0.33562050032267371, 0.3586515085603128, 0.39312323921540354, 0.44834425842625625, 0.54401442073362216, 0.71906220269682009, 0.98522766379172733, 1.0012280269549985, 0.64022834864850797, 0.40814747289939785, 0.30993039729275035, 0.26739216523405196, 0.24747286752125544, 0.23758153647147701, 0.23253821589479687, 0.23000734084722951, 0.22884856702393191, 0.2284676434709309, 0.22853818968740411, 0.22887321815040262, 0.22936192511541456, 0.229936879546529, 0.23055619838407976, 0.23119347995769796, 0.23183192646142306, 0.23246081248662157, 0.2330733099383932, 0.23366511929526737, 0.23423359208195532, 0.23477715907605326, 0.23529495242378939, 0.23578655277972752, 0.23625181820807434, 0.23669076719689708, 0.23710349783308679, 0.23749013131208907, 0.23785077188790169, 0.23818547792841077, 0.23849424043034997, 0.23877696647850138, 0.23903346590253285, 0.23926343992005483, 0.23946647094213422, 0.23964201301935029, 0.23978938267150296, 0.23990775011855756, 0.2399961312667048, 0.2400533812724438, 0.24007819121533974, 0.24006909052664605, 0.24002445962919644, 0.23994256022743476, 0.23982159569103495, 0.23965982251480603, 0.2394557486848681, 0.23920848115376009, 0.23891833263013018, 0.2385878877421887, 0.23822390231764387, 0.23784075790467027, 0.23746692303707398, 0.23715747789098127, 0.2370195045386021, 0.23726651421135594, 0.2383435588605208, 0.24124134609046854, 0.24837910731146229, 0.26647482387617227, 0.31772756520710654, 0.48997672674101972, 0.98501024376354962, 0.93383114639468356, 0.59263720982187085, 0.44683816836805573, 0.38105656016941181, 0.34618136334968636, 0.32528861122641578, 0.31162167868275387, 0.30208086195003742, 0.29508023342029072, 0.28973654238845603, 0.28552378431898962, 0.28211134650377129, 0.27928206388396354, 0.27688801558994453, 0.27482539819955287, 0.27301961106981537, 0.27141608423583408, 0.26997447643213346, 0.26866492505870965, 0.26746558340016147, 0.26636098103371691, 0.265340910613452, 0.26439963878586287, 0.2635352937163174, 0.26274931591642947, 0.26204588525793432, 0.26143126367752362, 0.26091302508049791, 0.26049918229681501, 0.26019726198806237, 0.26001341429777863, 0.25995166486103294], [0.25443044022547739, 0.25449101099166543, 0.25467359644236059, 0.25498087310795431, 0.25541749778062739, 0.25599042215375101, 0.25670937857027737, 0.25758759171416301, 0.25864280321530297, 0.25989874660048223, 0.2613872923042283, 0.26315162126687319, 0.26525102802917605, 0.26776839342564523, 0.27082219632838805, 0.27458657524512381, 0.2793263795990622, 0.28546178175232445, 0.29369532321591019, 0.3052822842539325, 0.32266573034396318, 0.35116683185550063, 0.40425208326179629, 0.52295707008983838, 0.83062798947678429, 0.91658372774515884, 0.41354253979255806, 0.27441460868003242, 0.24044665943812518, 0.2310346334301995, 0.22885439455376402, 0.22916655002777209, 0.23040564182090018, 0.23198725809523502, 0.23367774811566627, 0.23538253383699156, 0.23706637686521811, 0.23872070493731554, 0.24034939681125228, 0.24196237032190027, 0.24357267614158856, 0.24519525278813631, 0.24684651406327529, 0.24854438699510023, 0.25030862669602283, 0.25216133845111532, 0.25412769475022989, 0.25623687266152873, 0.25852326863975705, 0.26102808203122385, 0.2638014021600788, 0.26690499475978091, 0.27041607228349746, 0.27443246520639963, 0.27907981261913778, 0.28452169945785805, 0.29097414699749363, 0.29872661106328224, 0.30817280957990123, 0.31985650360827839, 0.33454005103341444, 0.35330725900470283, 0.37771604754948096, 0.41001671242837417, 0.45343358055666921, 0.51242683873126849, 0.59259252665426043, 0.6992256573302168, 0.83268150943148378, 0.97977987482661777, 1.1090999052015231, 1.1872120204171661, 1.2082926282357758, 1.1968324144128064, 1.1826865147745012, 1.183206685925162, 1.1990156854772314, 1.2118370612290992, 1.1854253032022262, 1.088302970514714, 0.93206581404539823, 0.76495602935099505, 0.62462514132993829, 0.52069729744200255, 0.44757163041930176, 0.39664296516234548, 0.36082682581077552, 0.3351741621606153, 0.31640932144664252, 0.30238930166940969, 0.29170257311945635, 0.28340545240181769, 0.27685546285226154, 0.27160676400329875, 0.26734408849557978, 0.26384045206010864, 0.26092964346058295, 0.25848802050760816, 0.25642225571444172, 0.25466094809870476, 0.25314878878289632, 0.25184244083356599, 0.25070758773711538, 0.24971679042335904, 0.2488479116018551, 0.24808294346456189, 0.24740712580050042, 0.24680827568244867, 0.24627627301542415, 0.24580266211947802, 0.24538034055879754, 0.24500331419105592, 0.24466650292858622, 0.24436558566625069, 0.24409687570605212, 0.24385722011417468, 0.24364391800221433, 0.24345465388428209, 0.2432874431336767, 0.2431405872236902, 0.24301263694210035, 0.24290236215793701, 0.24280872702137787, 0.24273086971461086, 0.2426680860592369, 0.24261981643623581, 0.24258563559683766, 0.2425652450438687, 0.24255846774875656, 0.2425595810372157, 0.24256292249970718, 0.24256849693175728, 0.24257631233986593, 0.2425863799625266, 0.24259871429979327, 0.24261333315156144, 0.24263025766475024, 0.24264951238963431, 0.24267112534561885, 0.24269512809680191, 0.24272155583771948, 0.2427504474897462, 0.24278184580863943, 0.24281579750385784, 0.24285235337026626, 0.24289156843299772, 0.24293350210627146, 0.24297821836709158, 0.24302578594483568, 0.24307627852784974, 0.24312977498832034, 0.24318635962677734, 0.24324612243777585, 0.24330915939845291, 0.24337557278183414, 0.24344547149698148, 0.24351897145829399, 0.24359619598654264, 0.2436772762444849, 0.24376235171025473, 0.24385157069206756, 0.24394509088819979, 0.24404307999666305, 0.24414571637951607, 0.24425318978736477, 0.24436570215026268, 0.24448346844201282, 0.24460671762573724, 0.24473569368962389, 0.24487065678288156, 0.24501188446330013, 0.24515967306934203, 0.24531433923147603, 0.24547622153952725, 0.24564568238522316, 0.24582311000190588, 0.24600892072666933, 0.24620356151398817, 0.24640751273444764, 0.24662129129748409, 0.24684545414334205, 0.247080602156945, 0.24732738456527065, 0.24758650389049452, 0.2478587215439374, 0.24814486416127976, 0.24844583079815097, 0.24876260112785303, 0.24909624481063281, 0.24944793223781336, 0.249818946895837, 0.25021069964692672, 0.25062474528738188, 0.25106280182491014, 0.25152677301753207, 0.25201877484460583, 0.25254116674340815, 0.25309658865358237, 0.25368800518112872, 0.2543187585438435, 0.25499263241866021, 0.25571392941677906, 0.2564875657186409, 0.25731918748390692, 0.25821531512115936, 0.25918352351619894, 0.26023266910909082, 0.26137317862404336, 0.2626174198139325, 0.26398018258111661, 0.26547931052137053, 0.26713654027871181, 0.26897863228065377, 0.2710389167022022, 0.27335944175853033, 0.2759940130179947, 0.2790125797062043, 0.28250770710081607, 0.2866043682465646, 0.29147518069965328, 0.29736488943267347, 0.30463118274490225, 0.31381570027440686, 0.32577386682809828, 0.34192658247218444, 0.36478299420714549, 0.39911759631788202, 0.45486922985463307, 0.55483907860551107, 0.75323138970301251, 1.1100626973608341, 1.1296415879666244, 0.6262656934566988, 0.37883912582455515, 0.29116327121297969, 0.25750595101207868, 0.24356208091909948, 0.23775956408245313, 0.2356645155058677, 0.23537641412626512, 0.23600480757735051, 0.23710206662153288, 0.23842987527287207, 0.23985489375304078, 0.24129892676002793, 0.24271380649671159, 0.24406818107382564, 0.24534034081362477, 0.24651424531196048, 0.24757731293512944, 0.24851921164446608, 0.24933123155980355, 0.2500059981422626, 0.2505373812912387, 0.25092050965325224, 0.25115183117157719, 0.2512291809166517, 0.25115183117157774, 0.25092050965325319, 0.25053738129123876, 0.25000599814226199, 0.24933123155980413, 0.24851921164446472, 0.24757731293512977, 0.24651424531196081, 0.24534034081362632, 0.24406818107382647, 0.24271380649671107, 0.24129892676002609, 0.23985489375304095, 0.23842987527287188, 0.23710206662153338, 0.23600480757735121, 0.23537641412626506, 0.23566451550586925, 0.23775956408245563, 0.24356208091909368, 0.25750595101207224, 0.29116327121296104, 0.37883912582459733, 0.62626569345695593, 1.1296415879668078, 1.1100626973605592, 0.75323138970322401, 0.55483907860537096, 0.45486922985461969, 0.39911759631789473, 0.36478299420712063, 0.3419265824721861, 0.32577386682810971, 0.3138157002744042, 0.30463118274490447, 0.29736488943267492, 0.29147518069965228, 0.2866043682465661, 0.28250770710081574, 0.2790125797062068, 0.27599401301799575, 0.27335944175852961, 0.27103891670220281, 0.26897863228065338, 0.26713654027871092, 0.26547931052136986, 0.26398018258111744, 0.26261741981393327, 0.26137317862404397, 0.26023266910909204, 0.25918352351619928, 0.25821531512115775, 0.25731918748390609, 0.25648756571864173, 0.25571392941677928, 0.25499263241865966, 0.25431875854384361, 0.25368800518112838, 0.25309658865358148, 0.25254116674340732, 0.25201877484460483, 0.25152677301753207, 0.25106280182491009, 0.25062474528738243, 0.25021069964692666, 0.24981894689583739, 0.2494479322378132, 0.24909624481063233, 0.24876260112785256, 0.2484458307981515, 0.2481448641612797, 0.24785872154393712, 0.24758650389049489, 0.24732738456527112, 0.24708060215694572, 0.24684545414334194, 0.24662129129748403, 0.24640751273444758, 0.24620356151398753, 0.24600892072666941, 0.24582311000190643, 0.24564568238522283, 0.24547622153952689, 0.2453143392314758, 0.24515967306934217, 0.24501188446330036, 0.24487065678288172, 0.24473569368962353, 0.24460671762573666, 0.24448346844201266, 0.24436570215026285, 0.24425318978736471, 0.2441457163795156, 0.24404307999666297, 0.24394509088820018, 0.24385157069206784, 0.24376235171025423, 0.24367727624448474, 0.24359619598654197, 0.24351897145829374, 0.24344547149698159, 0.24337557278183428, 0.24330915939845255, 0.24324612243777571, 0.24318635962677704, 0.24312977498832017, 0.24307627852785033, 0.24302578594483545, 0.24297821836709221, 0.24293350210627182, 0.24289156843299783, 0.24285235337026606, 0.24281579750385823, 0.24278184580864029, 0.24275044748974597, 0.24272155583772009, 0.2426951280968018, 0.24267112534561899, 0.2426495123896345, 0.24263025766475008, 0.24261333315156136, 0.24259871429979352, 0.24258637996252627, 0.24257631233986601, 0.2425684969317575, 0.24256292249970757, 0.24255958103721589, 0.24255846774875567, 0.24255902434496598, 0.24256069435565455, 0.24256347844713047, 0.24256737773033638, 0.2425723937615008, 0.24257852854304765, 0.24258578452475787, 0.24259416460520086, 0.24260367213342554, 0.24261431091090627, 0.24262608519375928, 0.2426389996952158, 0.24265305958836658, 0.24266827050916093, 0.24268463855968186, 0.2427021703116827, 0.24272087281039556, 0.24274075357860547, 0.24276182062100368, 0.24278408242879848, 0.24280754798462081, 0.24283222676768892, 0.2428581287592553, 0.24288526444833719, 0.2429136448377221, 0.24294328145025965, 0.24297418633543205, 0.2430063720762218, 0.24303985179625623, 0.24307463916724587, 0.24311074841671873, 0.24314819433604443, 0.24318699228875584, 0.24322715821916566, 0.24326870866129297, 0.24331166074807933, 0.24335603222092161, 0.24340184143950178, 0.2434491073919354, 0.24349784970522947, 0.24354808865604827, 0.24359984518181277, 0.24365314089210485, 0.24370799808040922, 0.24376443973617362, 0.24382248955721131, 0.24388217196243622, 0.24394351210494133, 0.24400653588542731, 0.24407126996598519, 0.2441377417842483, 0.24420597956791001, 0.24427601234963026, 0.24434786998233402, 0.24442158315492177, 0.24449718340840093, 0.24457470315246915, 0.24465417568254885, 0.24473563519732577, 0.24481911681679666, 0.24490465660087027, 0.24499229156855984, 0.2450820597178015, 0.24517400004596646, 0.24526815257110263, 0.24536455835399484, 0.24546325952110032, 0.24556429928846618, 0.24566772198670933, 0.24577357308719491, 0.24588189922952805, 0.24599274825051654, 0.24610616921477821, 0.24622221244718395, 0.24634092956736003, 0.24646237352650188, 0.24658659864679386, 0.24671366066374795, 0.2468436167718456, 0.2469765256738905, 0.24711244763455806, 0.2472514445386709, 0.24739357995480454, 0.24753891920492843, 0.24768752944082581, 0.24783947972819925, 0.24799484113941817, 0.2481536868560402, 0.2483160922823337, 0.2484821351712323, 0.24865189576427663, 0.24882545694734018, 0.24900290442412698, 0.24918432690968398, 0.24936981634646055, 0.24955946814571442, 0.24975338145747919, 0.24995165947262141, 0.25015440976099229, 0.25036174465017691, 0.2505737816498374, 0.25079064392733252, 0.25101246084091561, 0.25123936853764883, 0.25147151062400075, 0.25170903891810753, 0.25195211429379194, 0.25220090762767061, 0.25245560086213364, 0.25271638819859266, 0.25298347743724603, 0.25325709148168873, 0.25353747002914895, 0.25382487146984467, 0.25411957502216886, 0.25442188313404102, 0.25473212418502295, 0.2550506555287011, 0.2553778669205673, 0.25571418438333238, 0.25606007456943392, 0.25641604968979792, 0.25678267308876845, 0.25716056555815681, 0.2575504124987415, 0.25795297205607248, 0.25836908437952838, 0.25879968218038063, 0.26018936993197472, 0.26175480571559534, 0.26354575634164668, 0.26563365441779457, 0.26812331427791436, 0.27117273550598897, 0.27502830657176319, 0.28009127782874493, 0.28705279765605296, 0.29719416763250245, 0.31313562263357231, 0.34100603903770726, 0.398120013288494, 0.54731169902780752, 0.97695784565146515, 0.64807633574065604, 0.30896894985955381, 0.24356833863632396, 0.22728941022896998, 0.22256484958196404, 0.22128947739738927, 0.22117025158008327, 0.22143770710215369, 0.22180691708169964, 0.22216828915622025, 0.22248120572427635, 0.22273344221405628, 0.22292450236446232, 0.22305843386806054, 0.2231406541401309, 0.22317655427007191, 0.22317091577445142, 0.22312770322892553, 0.22305002827133594, 0.22294018713491259, 0.22279972450052107, 0.22262950109914556, 0.22242975468839993, 0.22220015010995275, 0.2219398171853238, 0.22164737677878985, 0.22132095628208573, 0.22095819656584592, 0.22055625350286787, 0.22011179895755581, 0.21962102934101696, 0.21907969563031818, 0.21848317929726688, 0.21782665796974718, 0.21710544083683705, 0.21631562290114373, 0.21545534279020795, 0.21452720401223693, 0.21354300044117636, 0.21253317184312345, 0.21156642003613618, 0.21079242327247028, 0.21054089955669072, 0.21157085462946087, 0.21576762776709216, 0.22838088979318794, 0.26660304182782002, 0.39893307689036539, 0.85798045743753959, 1.0483016772146785, 0.65509284815526048, 0.46852603629972389, 0.38589589655219092, 0.34282400340303759, 0.3172597300545954, 0.30059793284738423, 0.28896287190138265, 0.28039811703565165, 0.27382461436306993, 0.26860417306093998, 0.26433751261218802, 0.26076299914496825, 0.25770240306309466, 0.25503020295160894, 0.25265539231895662, 0.25051026590291747, 0.24854327651006333, 0.24671436279846987, 0.24499183867240498, 0.24335031830857601, 0.24176937854767339, 0.24023281196923002, 0.23872844827169851, 0.23724865981127277, 0.2357918729481448, 0.23436577710318743, 0.23299366491573803, 0.23172693274252379, 0.23067043372691456, 0.23003638469869006, 0.2302665329224563, 0.23233267557070567, 0.23855735474591774, 0.25517280367050099, 0.30167954025565541, 0.44924926048692043, 0.87661591067856359, 0.98670589945915876, 0.64586017582107047, 0.47258485636761366, 0.39267815163029635, 0.35029400839532482, 0.32493922863301677, 0.30836164393412879, 0.29678601522701131, 0.28829163796337687, 0.28181566243893147, 0.27672943461453792, 0.27264071588607824, 0.26929393830143278, 0.26651657624212999, 0.26418872448956898, 0.26222503841950667, 0.26056358787696171, 0.25915874382770732, 0.25797650588820481, 0.25699135689718955, 0.25618410233908695, 0.25554036373069566, 0.2550495192855522, 0.25470396050055799, 0.25449858045955953, 0.25443044022547739, 0.254475847625597, 0.25461247314074864, 0.25484154309478735, 0.25516515690491598, 0.25558637380347171, 0.25610934141449948, 0.25673947423105103, 0.25748369373799912, 0.25835074695643312, 0.2593516272307253, 0.26050013117445409, 0.26181360045115992, 0.26331391906103896, 0.26502887021774002, 0.26699400868796225, 0.26925528648171776, 0.27187280273360864, 0.27492626972241296, 0.27852316520149617, 0.2828112087332938, 0.28799801951074872, 0.29438313048855286, 0.3024121321224349, 0.31277230039674175, 0.3265701408407708, 0.3456804606385635, 0.37347837862600192, 0.41648110041145292, 0.48821404551686565, 0.61761620982929233, 0.85037826858564192, 1.0772265414699507, 0.83806633771225325, 0.504669999793802, 0.34966813261871932, 0.28501189851701758, 0.2560222956393074, 0.24204196559108632, 0.23499753415058705, 0.23142380495195858, 0.22969670846419302, 0.22899739049075277, 0.22888787679760966, 0.22912253475234987, 0.22955827383507821, 0.23010918766162422, 0.23072247679733321, 0.23136511691979941, 0.23201620568952286, 0.23266243125741146, 0.23329531648497237, 0.23390950387718368, 0.23450166662421346, 0.23506980507199696, 0.23561278529566332, 0.2361300324580991, 0.23662132466025859, 0.23708665289778333, 0.23752612498178813, 0.23793989894841366, 0.23832813636185943, 0.23869096906849768, 0.2390284750246833, 0.23934066019089556, 0.23962744440581474, 0.23988864978274535, 0.24012399060997461, 0.24033306405566002, 0.2405153412269232, 0.24067015835230623, 0.2407967080849937, 0.24089403120497524, 0.24096100939097892, 0.24099636032601415, 0.24099863733529883, 0.24096623726639596, 0.24089742280664017, 0.24079036958409594, 0.24064325544391921, 0.24045442146451404, 0.24022265573786727, 0.23994768965955979, 0.23963106822325769, 0.23927769288851311, 0.23889860683530451, 0.23851615141593066, 0.23817383031748063, 0.23795597546414804, 0.23802903006534365, 0.23873397908457666, 0.24081078270942086, 0.24600268912007786, 0.25891557532972531, 0.29380231037576321, 0.40431136025699926, 0.78622934480444473, 1.0872094441040587, 0.69286092549336364, 0.48876756432262236, 0.40204388309895989, 0.35857316043384735, 0.33355896461580953, 0.31766596338869924, 0.30681129822081338, 0.29898133494888846, 0.29308604628606311, 0.28849061844596868, 0.28480304498795106, 0.28176940094332242, 0.27921856545717422, 0.27703136441676451, 0.275122534997225, 0.2734297871222362, 0.2719069797784372, 0.27051978413863842, 0.26924290473799461, 0.26805830314703255, 0.26695407077671141, 0.26592370583801872, 0.26496560544664421, 0.26408261258366106, 0.26328147736732921, 0.26257211790951379, 0.26196660953417261, 0.26147789749102202, 0.26111831229543009, 0.2608980510444931, 0.260823846295822], [0.25492760964305022, 0.25499069066203861, 0.25518087768491327, 0.25550106577671639, 0.25595629706114453, 0.25655410997264916, 0.25730508001278563, 0.25822361510176578, 0.25932910614621957, 0.26064759289736428, 0.2622142030372554, 0.2640767892473988, 0.26630148365521467, 0.26898142988286644, 0.27225098933565645, 0.27630980455899518, 0.28146554770297821, 0.28821430777960488, 0.29740254041222414, 0.31058225976812243, 0.33087773545586163, 0.36540769484074431, 0.43329661202165365, 0.59624660295288401, 0.98032086537610408, 0.7229429940980413, 0.34697662230280196, 0.25931271767746589, 0.23662181138398014, 0.23032435301838119, 0.22916436238010182, 0.22984057298315427, 0.23120944227260951, 0.23283093987095344, 0.2345264777948122, 0.23622411411364597, 0.23789839341027497, 0.23954511043105892, 0.24117014838732767, 0.24278440096943596, 0.2444014810753577, 0.24603677591933473, 0.24770719352254572, 0.24943129807177264, 0.251229699601284, 0.25312564991061998, 0.25514584707274757, 0.25732148704325958, 0.259689634584088, 0.26229502511626507, 0.26519246196123319, 0.26845004939842976, 0.27215361514934522, 0.27641284826634299, 0.28136994531263415, 0.28721197697488537, 0.29418885412039697, 0.30263984367123437, 0.31303331496826808, 0.32602718110622497, 0.3425618784324051, 0.36400417481658515, 0.39236789316197607, 0.43064044976103805, 0.48321474792098301, 0.55627010742899663, 0.65739586852050491, 0.79233313864137311, 0.95504670076121667, 1.1128222998594888, 1.2115677850038786, 1.2235910415821534, 1.1771024569923407, 1.1202243870405113, 1.0848604631420962, 1.0842353057140894, 1.1199544829259909, 1.1807343424568537, 1.2304022090095552, 1.2065427578735177, 1.0746034483764433, 0.88309431548505624, 0.70519257952446113, 0.57156333091243161, 0.47931509848562742, 0.41683896430979306, 0.37409067240997074, 0.34419903832324394, 0.32276903571164989, 0.30702165503802636, 0.29518133060459789, 0.2860917200700217, 0.27898292744383019, 0.2733307060397846, 0.26877026277743121, 0.26504254064578991, 0.26196006725579934, 0.2593847969965537, 0.25721344676020735, 0.25536760540849379, 0.25378694267752389, 0.25242446748562986, 0.25124316499721533, 0.25021357651839748, 0.24931203408909536, 0.24851935627767691, 0.2478198732809708, 0.24720069014407664, 0.24665112421830765, 0.24616227154188564, 0.24572666961886899, 0.24533803299315032, 0.24499104430991642, 0.24468118804887878, 0.24440461735232544, 0.24415804672960109, 0.24393866515354962, 0.24374406535074658, 0.24357218605003844, 0.24342126468046857, 0.24328979856267899, 0.24317651306235877, 0.24308033550296088, 0.24300037389173731, 0.242935899715953, 0.24288633422818015, 0.24285123777093778, 0.24283030179935405, 0.24282334335198869, 0.24282448652221547, 0.24282791768296913, 0.24283364178883621, 0.24284166711202829, 0.24285200526432132, 0.24286467122791983, 0.24287968339541882, 0.2428970636190638, 0.24291683726956828, 0.24293903330480249, 0.24296368434871252, 0.24299082678089182, 0.24302050083730051, 0.24305275072265381, 0.24308762473514034, 0.24312517540412307, 0.24316545964163644, 0.24320853890852479, 0.24325447939620404, 0.24330335222511418, 0.24335523366104705, 0.24341020535069935, 0.24346835457788449, 0.24352977454205288, 0.24359456466091742, 0.24366283089918481, 0.24373468612561314, 0.24381025050086244, 0.24388965189888645, 0.24397302636490259, 0.24406051861335254, 0.24415228256963412, 0.24424848195983856, 0.244349290953225, 0.24445489486272737, 0.24456549090944396, 0.24468128905777839, 0.24480251292875252, 0.24492940079995168, 0.24506220670169135, 0.2452012016202188, 0.24534667482024189, 0.24549893530074929, 0.24565831340002847, 0.24582516256804124, 0.24599986132694893, 0.24618281544363355, 0.24637446034166374, 0.2465752637843418, 0.24678572886545785, 0.24700639735021623, 0.24723785341574633, 0.24748072784888603, 0.24773570276876619, 0.24800351695356537, 0.24828497186498244, 0.24858093848114846, 0.24889236506948773, 0.24922028605634441, 0.24956583218115999, 0.24993024216102128, 0.25031487613834691, 0.25072123124272105, 0.2511509596705726, 0.25160588977748993, 0.25208805079290492, 0.25259970191276282, 0.25314336671201521, 0.25372187405832214, 0.25433840701832316, 0.25499656165230628, 0.25570041812468491, 0.25645462726235657, 0.25726451663533628, 0.25813622150583421, 0.25907684772582462, 0.26009467605191289, 0.26119942067502855, 0.26240255945776308, 0.26371776008205905, 0.26516143603485498, 0.26675348067024968, 0.26851824899641952, 0.27048588944534935, 0.27269417853473915, 0.27519109171205236, 0.27803847427697664, 0.28131739410224788, 0.28513613183150344, 0.2896424273322612, 0.29504282040741275, 0.3016342591765801, 0.30985783564743596, 0.32039442243726635, 0.33434427110682557, 0.35358631581387617, 0.38155264082638496, 0.4250476608954597, 0.49891871768620721, 0.63849664566399789, 0.9191987763445848, 1.2526225396599682, 0.89679316970030376, 0.4850669078257881, 0.33006133968928891, 0.27342551157902928, 0.25066517436766134, 0.241060437981228, 0.23718103397752507, 0.23601246791102903, 0.23620172858787936, 0.2370911939543241, 0.23834019226072781, 0.23976257429911785, 0.24125160782801566, 0.24274308192824878, 0.24419627675269587, 0.24558376862005621, 0.24688582047966778, 0.248087253848714, 0.24917571302605052, 0.25014073376538309, 0.250973285810349, 0.25166559505943753, 0.25221112574203025, 0.25260464535764326, 0.25284232052440614, 0.25292180841721179, 0.25284232052440675, 0.25260464535764421, 0.25221112574203025, 0.25166559505943686, 0.25097328581034972, 0.25014073376538182, 0.24917571302605071, 0.24808725384871425, 0.24688582047966931, 0.24558376862005724, 0.24419627675269542, 0.24274308192824687, 0.24125160782801594, 0.23976257429911768, 0.23834019226072845, 0.23709119395432487, 0.23620172858787911, 0.23601246791102953, 0.23718103397752743, 0.24106043798122415, 0.2506651743676569, 0.27342551157901673, 0.33006133968931217, 0.48506690782595274, 0.89679316970060918, 1.252622539659856, 0.91919877634486769, 0.63849664566379638, 0.4989187176861859, 0.42504766089547619, 0.38155264082635498, 0.353586315813879, 0.33434427110683862, 0.32039442243726318, 0.30985783564743868, 0.30163425917658188, 0.29504282040741175, 0.28964242733226309, 0.28513613183150288, 0.2813173941022506, 0.2780384742769777, 0.27519109171205169, 0.27269417853473976, 0.2704858894453489, 0.26851824899641846, 0.2667534806702489, 0.26516143603485576, 0.26371776008205999, 0.2624025594577637, 0.26119942067502983, 0.26009467605191322, 0.25907684772582301, 0.25813622150583337, 0.25726451663533734, 0.25645462726235674, 0.25570041812468436, 0.25499656165230644, 0.25433840701832289, 0.25372187405832131, 0.25314336671201432, 0.25259970191276188, 0.25208805079290508, 0.25160588977748988, 0.2511509596705731, 0.25072123124272094, 0.25031487613834724, 0.24993024216102128, 0.24956583218115957, 0.24922028605634383, 0.24889236506948831, 0.24858093848114843, 0.24828497186498202, 0.24800351695356571, 0.24773570276876669, 0.24748072784888672, 0.24723785341574631, 0.24700639735021604, 0.24678572886545783, 0.24657526378434122, 0.24637446034166383, 0.24618281544363416, 0.24599986132694851, 0.24582516256804077, 0.24565831340002822, 0.24549893530074934, 0.24534667482024214, 0.24520120162021899, 0.24506220670169104, 0.2449294007999511, 0.24480251292875241, 0.2446812890577785, 0.24456549090944379, 0.24445489486272681, 0.2443492909532248, 0.24424848195983892, 0.24415228256963442, 0.24406051861335193, 0.24397302636490228, 0.24388965189888573, 0.24381025050086225, 0.24373468612561333, 0.24366283089918495, 0.24359456466091706, 0.24352977454205268, 0.2434683545778841, 0.24341020535069907, 0.24335523366104767, 0.24330335222511384, 0.24325447939620473, 0.2432085389085252, 0.24316545964163655, 0.24312517540412298, 0.24308762473514067, 0.24305275072265473, 0.24302050083730026, 0.24299082678089229, 0.24296368434871246, 0.24293903330480257, 0.24291683726956845, 0.24289706361906355, 0.24287968339541866, 0.24286467122792005, 0.24285200526432099, 0.24284166711202845, 0.24283364178883649, 0.24282791768296957, 0.24282448652221558, 0.24282334335198785, 0.24282391488750349, 0.24282562972363492, 0.24282848854927896, 0.24283249251305167, 0.24283764322397844, 0.24284394275245966, 0.24285139363150302, 0.24285999885824233, 0.24286976189573128, 0.24288068667500978, 0.24289277759745631, 0.24290603953741377, 0.24292047784510543, 0.24293609834982055, 0.24295290736339592, 0.24297091168397544, 0.24299011860006159, 0.24301053589485061, 0.2430321718508667, 0.2430550352548739, 0.24307913540310319, 0.24310448210676058, 0.2431310856978379, 0.2431589570352321, 0.2431881075111606, 0.24321854905788906, 0.24325029415476154, 0.24328335583555502, 0.24331774769613729, 0.24335348390244663, 0.24339057919879678, 0.24342904891650324, 0.24346890898283655, 0.24351017593030638, 0.24355286690628822, 0.24359699968297691, 0.24364259266769442, 0.24368966491353417, 0.24373823613036591, 0.24378832669619377, 0.24383995766886749, 0.24389315079817653, 0.2439479285382983, 0.24400431406063869, 0.24406233126704621, 0.24412200480342877, 0.2441833600737644, 0.24424642325452306, 0.24431122130950667, 0.24437778200511898, 0.24444613392608258, 0.24451630649160447, 0.24458832997201915, 0.24466223550591762, 0.24473805511778762, 0.24481582173618116, 0.24489556921244779, 0.2449773323400383, 0.24506114687444239, 0.24514704955377248, 0.24523507812004863, 0.24532527134123142, 0.2454176690340511, 0.2455123120877106, 0.2456092424885136, 0.24570850334552011, 0.24581013891730291, 0.24591419463992911, 0.24602071715626628, 0.24612975434677023, 0.24624135536189207, 0.2463555706562886, 0.24647245202503604, 0.24659205264206996, 0.24671442710110714, 0.24683963145934129, 0.24696772328424529, 0.24709876170383985, 0.24723280746086185, 0.24736992297129692, 0.24751017238782211, 0.24765362166875585, 0.24780033865319553, 0.24795039314313161, 0.24810385699337439, 0.24826080421030472, 0.24842131106052068, 0.24858545619063943, 0.24875332075962819, 0.24892498858525386, 0.24910054630638789, 0.24928008356316414, 0.24946369319720393, 0.24965147147440497, 0.24984351833311125, 0.25003993766078408, 0.25024083760275156, 0.25044633090696861, 0.25065653530925752, 0.25087157396404502, 0.25109157592618575, 0.25131667669021879, 0.2515470187941149, 0.25178275249551185, 0.25202403652938704, 0.25227103895725655, 0.25252393811927559, 0.25278292370202149, 0.25304819793641931, 0.25331997694211605, 0.25359849223676539, 0.25388399243108306, 0.25417674513339972, 0.25447703909059471, 0.25478518659607041, 0.25510152619968512, 0.25542642575959401, 0.25576028588175115, 0.25610354379963424, 0.25645667775474257, 0.25682021194778543, 0.25719472214163852, 0.25758084201023274, 0.2579792703432961, 0.25839077923554404, 0.2588162234114687, 0.25925655086390387, 0.25971281501742638, 0.26118965101289821, 0.26286134186851035, 0.26478457321986099, 0.26704121150080551, 0.26975235275307607, 0.27310245394756216, 0.27738304729412755, 0.28307716509051889, 0.29103563279653499, 0.30288286021155519, 0.32207521409328943, 0.35715655947618752, 0.43421223103014456, 0.6550606704045786, 1.0743748720492461, 0.47906281051580002, 0.27816523324627968, 0.23680963909198988, 0.22571892301087707, 0.2224502886818574, 0.22164353469905562, 0.22167770911354634, 0.22198600128896065, 0.22235382185432068, 0.22269838973684011, 0.22298990408005737, 0.22322059510495373, 0.22339175018057275, 0.22350804396685195, 0.22357501792369652, 0.22359797644178198, 0.22358153667844699, 0.22352948182657273, 0.22344475202954989, 0.223329493001408, 0.22318512362901688, 0.22301240408091877, 0.22281149603496664, 0.22258201169139957, 0.22232305077649017, 0.22203322604973885, 0.22171067860377605, 0.22135308492477526, 0.22095765861398561, 0.22052115126041891, 0.22003985980286589, 0.21950965285375112, 0.21892603774296238, 0.21828430698285753, 0.2175798342458948, 0.21680864933859614, 0.21596853704076191, 0.2150611361197183, 0.21409599699248705, 0.21309860700104899, 0.21212680546666152, 0.21130591495986895, 0.21090849687418095, 0.21154972171862813, 0.21471541091183285, 0.22438438040958761, 0.25291430359121547, 0.34690831879649042, 0.69334142601875848, 1.1428378191265662, 0.75498576547016683, 0.5107254172577973, 0.40661510950768898, 0.35474708295828145, 0.32496689735838524, 0.30601896381916166, 0.29302428392421614, 0.28359235181847048, 0.27643504155287568, 0.27080450050599314, 0.26623984613722718, 0.26244284788941374, 0.25921250403475204, 0.25640856281700897, 0.25393017100535342, 0.25170285257858477, 0.2496702869485847, 0.24778896727621003, 0.24602465640169166, 0.24435001521495855, 0.24274304343723757, 0.2411861414224197, 0.23966572878425782, 0.23817248229089519, 0.23670242744534534, 0.23525941108584195, 0.23386005033382706, 0.23254344631751289, 0.23139062568499214, 0.23056508058701991, 0.23040233444255845, 0.23162325589915597, 0.23589324431686623, 0.24747876785231615, 0.27896383385119827, 0.37434589401790752, 0.6872616164866403, 1.0791748565003814, 0.75964430790255111, 0.52191712305370519, 0.41640137191920346, 0.36347069598897547, 0.3331155674676457, 0.31386930761244736, 0.30073329881034544, 0.29125981191011502, 0.28413433071725291, 0.27859759969588976, 0.2741848731562978, 0.27059803807936794, 0.26763843274005772, 0.26516946870592917, 0.26309480408163693, 0.26134506162677368, 0.25986945558302216, 0.25863035012860602, 0.25759963032596772, 0.2567562296651783, 0.25608441819776695, 0.25557260621022465, 0.25521250895832776, 0.25499857411408272, 0.25492760964305022, 0.25497489826977154, 0.25511720266670784, 0.25535585662111682, 0.25569314499269757, 0.25613240046700803, 0.2566781472966298, 0.25733630136581065, 0.25811444025723895, 0.25902216294884106, 0.26007156716106611, 0.26127788449564332, 0.26266033137568318, 0.26424326066329995, 0.26605774003804111, 0.26814374775958838, 0.27055327982378369, 0.273354832239528, 0.27664000836173575, 0.28053349843642056, 0.28520857134794197, 0.29091188203924484, 0.29800462822714885, 0.30703366037960234, 0.31886022686162413, 0.33490598880350103, 0.35765306587984796, 0.39173222324400375, 0.44645215697719476, 0.54180030911082055, 0.71891264019055223, 0.9999604416740524, 1.0349517162320034, 0.65528776309654302, 0.41232463072474163, 0.31138211897000356, 0.26820350562199186, 0.24814829222013668, 0.23825142078037698, 0.23323601061389132, 0.23073955282901135, 0.2296142730213421, 0.22926426934808178, 0.22936321509456581, 0.22972461099466285, 0.23023818103191962, 0.23083695107391444, 0.23147940643355772, 0.23213943541878024, 0.23280046793759315, 0.23345195920190964, 0.23408722709199975, 0.23470209310635512, 0.2352940122234701, 0.23586150671652836, 0.23640379254815302, 0.23692052981795383, 0.23741165427283567, 0.2378772624349631, 0.23831753254659355, 0.23873266961825199, 0.23912286676917069, 0.23948827758634153, 0.23982899589990772, 0.24014504048704025, 0.24043634296877919, 0.24070273767983946, 0.24094395265246873, 0.2411596011183659, 0.24134917313848628, 0.24151202715250608, 0.24164738142980391, 0.24175430563863073, 0.24183171307960336, 0.241878354627861, 0.24189281621346115, 0.24187352293652448, 0.24181875499136213, 0.24172668403050221, 0.24159544443712277, 0.24142326399896569, 0.24120869602405823, 0.2409510263370275, 0.24065098621637002, 0.24031201119550064, 0.2399424983085833, 0.23955994611186274, 0.23919877845990728, 0.23892570349043474, 0.23887133712808276, 0.23929930671153818, 0.24076896693978442, 0.24455664543446598, 0.25388767309293003, 0.27815512892838201, 0.35039637902038623, 0.60473267377762907, 1.1270221318170672, 0.83197973871234676, 0.54591336055081929, 0.42873207682110204, 0.37352745424418665, 0.34318037360612452, 0.32452156981813807, 0.31208554571345698, 0.3032836016259845, 0.29675736670700831, 0.29173474778010294, 0.28774801687446377, 0.28449871479001881, 0.28178797309601999, 0.27947834781107767, 0.27747185904641614, 0.27569684977927311, 0.27409989382202005, 0.27264073620054519, 0.27128914121122555, 0.27002299267984398, 0.26882723873804654, 0.26769339638712147, 0.26661937890265469, 0.26560941241489266, 0.2646737934535332, 0.26382823687999596, 0.26309260633601433, 0.26248893328296874, 0.26203881842303378, 0.2617605342137469, 0.26166633398041605], [0.25567641585677625, 0.25574226341144951, 0.25594083012799584, 0.2562752583659843, 0.25675102680021317, 0.25737633977146035, 0.25816273198651996, 0.25912596155528517, 0.26028730845043269, 0.26167546598018443, 0.26332933007679771, 0.26530219318412596, 0.2676682106206178, 0.27053267921524188, 0.27404897589375965, 0.27844768441252787, 0.2840892716993601, 0.29156529866239017, 0.30190776882628978, 0.31706365114995938, 0.34110231553713161, 0.3837755098143118, 0.47303865080978602, 0.70177740367071118, 1.0615618323727063, 0.54841511581142144, 0.30577910231716393, 0.249651643245941, 0.23437085529540563, 0.23025818445623214, 0.22984227262408741, 0.23078841239255576, 0.23225275911945784, 0.23390195652547821, 0.2355992496222877, 0.2372902352041579, 0.23895714601324808, 0.24059925316799455, 0.24222407021388187, 0.24384332787264709, 0.24547117710104654, 0.24712349146641877, 0.24881775040734688, 0.25057326466489549, 0.25241164179884396, 0.25435746280473354, 0.25643918646076075, 0.25869033409495901, 0.2611510445531609, 0.26387013556889088, 0.26690787251172743, 0.2703397409507568, 0.27426166448802786, 0.2787973343089597, 0.28410867221332425, 0.29041101930594626, 0.29799557240827712, 0.30726312660932775, 0.31877574490467159, 0.33333725552871035, 0.35212051056139182, 0.37687025275133113, 0.41022455236450772, 0.45620395070234748, 0.52086038914437838, 0.61274457502330459, 0.74159213385518785, 0.91042784199142424, 1.0947729542231492, 1.2263084406945906, 1.2419129323798821, 1.1618312451131463, 1.0562627899376618, 0.97295021580477359, 0.92851205971694806, 0.92656371787112413, 0.96870849599204523, 1.0547639966869435, 1.1693791668540614, 1.2531009700771503, 1.2101233206096642, 1.0280955928517155, 0.81147798161171902, 0.63861262971845456, 0.52018252649033137, 0.44216649963160909, 0.39036224603523229, 0.35509469250521508, 0.33037161383608554, 0.31253610144890881, 0.29932621482326727, 0.28930960730767119, 0.28155508064408918, 0.2754412114806728, 0.27054291461519492, 0.26656267621073759, 0.26328785731238524, 0.260563549546312, 0.25827492341214275, 0.25633550290502644, 0.25467922096372819, 0.25325493679489686, 0.25202258725324322, 0.25095044239018516, 0.25001311965292694, 0.24919012748986133, 0.2484647837714663, 0.2478234031809145, 0.24725468006545517, 0.24674921501304514, 0.24629914828613025, 0.24589787353070902, 0.24553981238422662, 0.24522023571243642, 0.24493512086460534, 0.2446810369861043, 0.24445505236515389, 0.24425465922101952, 0.24407771240673781, 0.2439223793004652, 0.24378709876679883, 0.24367054753381751, 0.24357161268988825, 0.24348936928334369, 0.24342306222779525, 0.24337209189082587, 0.24333600288522417, 0.24331447569832387, 0.24330732089295221, 0.24330849654062339, 0.24331202519148379, 0.24331791197364108, 0.24332616544917621, 0.24333679763708915, 0.24334982404558017, 0.24336526371385109, 0.24338313926363583, 0.24340347696073783, 0.24342630678690336, 0.24345166252241393, 0.24347958183984222, 0.24351010640949716, 0.24354328201711112, 0.24357915869446825, 0.24361779086366867, 0.24365923749588683, 0.243703562285527, 0.24375083384081345, 0.24380112589195135, 0.24385451751811968, 0.243911093394726, 0.24397094406245501, 0.24403416621986307, 0.24410086304143555, 0.24417114452323788, 0.24424512785853111, 0.24432293784598563, 0.24440470733342781, 0.24449057770037011, 0.24458069938297386, 0.24467523244549491, 0.24477434720275351, 0.24487822489870209, 0.24498705844677987, 0.24510105323845099, 0.24522042802709995, 0.24534541589538636, 0.24547626531518205, 0.24561324131043705, 0.24575662673466289, 0.24590672367632851, 0.2460638550072925, 0.24622836609152016, 0.24640062667379858, 0.24658103297105519, 0.24677000999223109, 0.24696801411663064, 0.24717553596527359, 0.24739310360528621, 0.24762128613381118, 0.24786069769561317, 0.24811200199772032, 0.24837591739538062, 0.24865322263676956, 0.24894476336970178, 0.24925145953276859, 0.24957431377658562, 0.24991442108921541, 0.25027297983462665, 0.25065130445589517, 0.25105084014785572, 0.25147317986983386, 0.25192008415157457, 0.25239350424913787, 0.25289560933870059, 0.25342881860317762, 0.25399583928040609, 0.25459971201759857, 0.25524386523514897, 0.25593218067222218, 0.25666907290585528, 0.25745958645967087, 0.25830951522559892, 0.25922555042353601, 0.26021546538130391, 0.26128834826713887, 0.26245489790120319, 0.26372780344174024, 0.26512223689735109, 0.26665649932308672, 0.26835287921631978, 0.27023880827093555, 0.27234844060566082, 0.27472484584638546, 0.27742310956531774, 0.28051480420579661, 0.28409458039147362, 0.28829012834990009, 0.29327766062077948, 0.29930675660467887, 0.30674171619586071, 0.31613337008538689, 0.32835009241910679, 0.34483111313591908, 0.36811103531280737, 0.4029967080351014, 0.45945568835820044, 0.56028254220335749, 0.76000408429041799, 1.1284585331948505, 1.1963564677564678, 0.67059982449669053, 0.39690646477991687, 0.29944592688121607, 0.26200101657175556, 0.24639946691630019, 0.23980602970417017, 0.23732098959875672, 0.2368491741505904, 0.23740998661790194, 0.23851047356392271, 0.23988795081428602, 0.24139519741280774, 0.24294565959204054, 0.24448581935072497, 0.24598063578810161, 0.24740561547729473, 0.24874240071988113, 0.24997630076444805, 0.25109493397000221, 0.25208752299269527, 0.25294458001467152, 0.25365782370379791, 0.25422022751032675, 0.25462613223824992, 0.25487137625481027, 0.25495341052170789, 0.25487137625481093, 0.25462613223825098, 0.25422022751032686, 0.25365782370379719, 0.25294458001467224, 0.25208752299269388, 0.25109493397000249, 0.24997630076444838, 0.24874240071988271, 0.24740561547729573, 0.245980635788101, 0.24448581935072294, 0.24294565959204084, 0.24139519741280752, 0.23988795081428663, 0.23851047356392363, 0.2374099866179013, 0.2368491741505902, 0.23732098959875891, 0.23980602970416751, 0.24639946691629666, 0.2620010165717469, 0.29944592688123195, 0.39690646478002045, 0.67059982449691924, 1.1963564677567249, 1.1284585331951196, 0.76000408429012423, 0.56028254220332618, 0.4594556883582227, 0.4029967080350621, 0.36811103531281048, 0.34483111313593512, 0.32835009241910273, 0.31613337008538978, 0.3067417161958631, 0.29930675660467787, 0.29327766062078148, 0.28829012834989953, 0.28409458039147661, 0.28051480420579772, 0.27742310956531702, 0.27472484584638607, 0.27234844060566032, 0.27023880827093455, 0.26835287921631895, 0.26665649932308766, 0.26512223689735204, 0.26372780344174079, 0.26245489790120463, 0.26128834826713904, 0.26021546538130225, 0.25922555042353507, 0.25830951522559997, 0.25745958645967087, 0.25666907290585461, 0.25593218067222229, 0.25524386523514858, 0.25459971201759773, 0.25399583928040526, 0.25342881860317662, 0.25289560933870081, 0.25239350424913776, 0.25192008415157513, 0.25147317986983375, 0.25105084014785611, 0.25065130445589512, 0.25027297983462604, 0.24991442108921491, 0.24957431377658626, 0.24925145953276845, 0.24894476336970142, 0.24865322263676984, 0.24837591739538126, 0.24811200199772113, 0.24786069769561311, 0.24762128613381104, 0.24739310360528613, 0.24717553596527295, 0.24696801411663061, 0.24677000999223173, 0.24658103297105485, 0.24640062667379808, 0.24622836609151988, 0.24606385500729261, 0.24590672367632871, 0.24575662673466306, 0.24561324131043683, 0.24547626531518152, 0.24534541589538639, 0.24522042802710006, 0.24510105323845088, 0.24498705844677937, 0.2448782248987019, 0.24477434720275393, 0.24467523244549516, 0.24458069938297317, 0.24449057770036994, 0.24440470733342698, 0.24432293784598547, 0.24424512785853128, 0.24417114452323807, 0.24410086304143522, 0.24403416621986285, 0.24397094406245468, 0.2439110933947258, 0.24385451751812035, 0.2438011258919511, 0.2437508338408142, 0.24370356228552756, 0.243659237495887, 0.24361779086366853, 0.24357915869446872, 0.24354328201711195, 0.24351010640949694, 0.24347958183984281, 0.24345166252241385, 0.24342630678690336, 0.24340347696073802, 0.24338313926363569, 0.24336526371385109, 0.24334982404558042, 0.24333679763708882, 0.2433261654491764, 0.24331791197364139, 0.24331202519148418, 0.24330849654062348, 0.2433073208929514, 0.24330790866546986, 0.24330967222085348, 0.24331261227273773, 0.24331673001099888, 0.24332202710248751, 0.24332850569205403, 0.24333616840386005, 0.24334501834299274, 0.24335505909737243, 0.24336629473995045, 0.24337872983121195, 0.24339236942197048, 0.243407219056471, 0.24342328477578257, 0.24344057312150613, 0.2434590911397814, 0.24347884638560355, 0.24349984692744811, 0.24352210135221336, 0.24354561877046457, 0.24357040882201553, 0.24359648168181416, 0.24362384806615597, 0.24365251923922979, 0.24368250701998689, 0.24371382378934839, 0.24374648249774253, 0.24378049667299634, 0.24381588042855903, 0.24385264847207994, 0.24389081611434246, 0.24393039927855448, 0.24397141451000032, 0.24401387898605983, 0.2440578105266096, 0.24410322760479006, 0.24415014935816928, 0.2441985956002877, 0.24424858683260894, 0.24430014425687233, 0.24435328978785059, 0.24440804606654207, 0.24446443647377522, 0.24452248514426375, 0.24458221698109822, 0.24464365767070581, 0.24470683369827539, 0.24477177236366457, 0.24483850179780589, 0.24490705097962337, 0.24497744975348454, 0.24504972884719398, 0.2451239198905622, 0.24520005543456641, 0.24527816897113261, 0.2453582949535649, 0.24544046881766621, 0.24552472700356484, 0.24561110697831934, 0.24569964725932333, 0.2457903874385767, 0.24588336820788154, 0.24597863138502399, 0.24607621994103349, 0.24617617802858613, 0.24627855101167101, 0.24638338549661062, 0.2464907293645813, 0.24660063180575198, 0.24671314335522498, 0.24682831593094159, 0.24694620287376506, 0.24706685898997274, 0.24719034059641581, 0.24731670556863994, 0.24744601339230188, 0.24757832521826062, 0.24771370392175518, 0.24785221416616104, 0.24799392247184893, 0.24813889729076707, 0.24828720908741944, 0.24843893042700574, 0.2485941360716121, 0.24875290308539227, 0.24891531094987102, 0.24908144169057631, 0.24925138001640573, 0.24942521347327024, 0.24960303261378697, 0.24978493118496939, 0.2499710063361438, 0.2501613588495693, 0.25035609339655107, 0.25055531882219678, 0.25075914846230818, 0.2509677004964046, 0.25118109834128832, 0.25139947109015282, 0.251622954002864, 0.25185168905368593, 0.25208582554358278, 0.25232552078504084, 0.25257094086841964, 0.25282226151993092, 0.25307966906265428, 0.25334336149346448, 0.25361354969038263, 0.2538904587667834, 0.25417432959105041, 0.25446542049275989, 0.25476400917929093, 0.25507039489009276, 0.2553849008195736, 0.25570787684399887, 0.25603970259284542, 0.25638079091101296, 0.25673159176521404, 0.25709259665599815, 0.25746434360644188, 0.25784742280982409, 0.25824248303206659, 0.25865023888060779, 0.25907147907053174, 0.25950707584159738, 0.25995799570745493, 0.26042531175161016, 0.26091021772532341, 0.26248458078669196, 0.26427575602964237, 0.2663486059569618, 0.26879745201613142, 0.27176305871581158, 0.27546230629434937, 0.28024303324231981, 0.28669254330417615, 0.295871037645556, 0.30986962892554154, 0.33333955174731211, 0.37851780876690622, 0.48609145342583659, 0.816318626784304, 0.93869716142214654, 0.37824086031155879, 0.25964641697556751, 0.23266013504924415, 0.2249934241273521, 0.22274220973212672, 0.22226965693959649, 0.22241020778337836, 0.22274161196284559, 0.22310122049437142, 0.22342649510597945, 0.22369589449979824, 0.22390504620803453, 0.22405656739234467, 0.22415556246026466, 0.2242076129550224, 0.22421790359039137, 0.22419087707782809, 0.22413013503198917, 0.2240384497053714, 0.22391782085112491, 0.22376954578376404, 0.22359428744876803, 0.22339213370991115, 0.22316264528878588, 0.22290489191629703, 0.22261747735114709, 0.22229855457521661, 0.22194583306239934, 0.22155658084256705, 0.22112762549998641, 0.22065536078520381, 0.22013577007967897, 0.21956448615225449, 0.21893692150401578, 0.21824853090435295, 0.21749531892074259, 0.21667480370679598, 0.21578784355466624, 0.2148421341941528, 0.21385904652978921, 0.21288741999057481, 0.2120325906421166, 0.21152094682489186, 0.21185405991727763, 0.21421193943544092, 0.22164120791362477, 0.24314196405923755, 0.31066605553708837, 0.55688121847689342, 1.1327124569282667, 0.88501812850940054, 0.56674503587497627, 0.43289427904113487, 0.36938073929015691, 0.33424204417974901, 0.31247539980125633, 0.29784150499282597, 0.28738139724619727, 0.27954056677065153, 0.27343444369998582, 0.26852667380878131, 0.26447482193605942, 0.26105069940249437, 0.25809663790256354, 0.25550023598313371, 0.25317913177025125, 0.25107147961752829, 0.24912980967980475, 0.24731697374816516, 0.24560343177705798, 0.24396544654055508, 0.24238394579920913, 0.24084394635959891, 0.23933455524256239, 0.23784971107541111, 0.23639006426804388, 0.23496683383351682, 0.23360937756491384, 0.23238018013280823, 0.2314055599760218, 0.23094192876965811, 0.23152891451499361, 0.23437572417772562, 0.24245179965583416, 0.26403680616856862, 0.32637546120260941, 0.5317629687841896, 1.025296755451339, 0.90913479526592933, 0.59117364209589696, 0.44793380605523619, 0.38023112563143363, 0.34323304835761531, 0.32058321355965985, 0.30551731608809723, 0.29486089079901856, 0.2869648404025974, 0.28090126760384843, 0.27611397481334637, 0.27225220747154466, 0.26908547401419058, 0.26645713544589633, 0.26425777916912396, 0.26240925966569689, 0.26085476783925876, 0.25955245011062139, 0.25847119485608178, 0.25758778646802716, 0.25688494965883174, 0.25634999151872923, 0.25597385851888554, 0.25575049292041263, 0.25567641585677625, 0.25572577773746907, 0.25587434178250479, 0.25612356359174165, 0.25647593839988048, 0.25693510949141107, 0.25750602961231051, 0.25819518626824206, 0.25901090692815698, 0.25996376723056508, 0.26106713535314968, 0.26233790035947679, 0.26379745412802463, 0.26547302954047447, 0.26739954884693312, 0.26962221727114721, 0.27220022848605419, 0.27521216747272215, 0.27876407089290722, 0.28300176673518329, 0.28813032519050497, 0.29444575483864466, 0.30238865473898641, 0.31263909285223529, 0.32629308887984609, 0.34521061239500506, 0.37274883639794348, 0.4154207471714414, 0.48686927892992798, 0.61692884523968128, 0.8565378889463291, 1.1069457148433886, 0.86397563279129941, 0.51254070046830202, 0.35213902935068719, 0.2862254109650833, 0.25694331475615406, 0.24291050709605536, 0.23587715558674557, 0.23233054006962786, 0.23063310672572263, 0.22996235206065779, 0.22987961860555939, 0.23013945573883171, 0.23059915489349309, 0.23117318619011232, 0.23180906762003811, 0.23247402876713649, 0.2331473674026272, 0.23381593007105367, 0.23447136709364855, 0.23510842618617964, 0.23572387021495722, 0.2363157787820836, 0.236883090693397, 0.23742530031113115, 0.23794225374812039, 0.23843401070801945, 0.23890074997162206, 0.23934270416024095, 0.23976011426059432, 0.24015319752870329, 0.24052212444012891, 0.24086700171151088, 0.24118785932796935, 0.24148464012750739, 0.24175719091750031, 0.24200525439610737, 0.2422284613687683, 0.24242632292049879, 0.24259822235602335, 0.24274340687864759, 0.24286097917595931, 0.2429498893580849, 0.24300892811468255, 0.2430367226194004, 0.24303173777776599, 0.24299228715975729, 0.24291656085064145, 0.24280268231434579, 0.24264881466141164, 0.24245335113746702, 0.24221525024956395, 0.24193462249300968, 0.24161376263420126, 0.24125898934081794, 0.24088398983213222, 0.24051606850406707, 0.24020823677716946, 0.24006365715513742, 0.24028785813010903, 0.24130821615240047, 0.24407221312915434, 0.25087976597287009, 0.26806686902153032, 0.31639461257441542, 0.47857321746628523, 0.9867939835637658, 1.0091784386029516, 0.62729652777891198, 0.46439952635090825, 0.39254460090335519, 0.35505430044871467, 0.33284998695860252, 0.31845450991500646, 0.30848195457125438, 0.30121584763596415, 0.29570637064623062, 0.29139015488516107, 0.28791361871205695, 0.2850440833721109, 0.28262204345787545, 0.28053412709943037, 0.27869710247830981, 0.27704811565863974, 0.27553864415646528, 0.27413080899195047, 0.27279529691892135, 0.27151046666052997, 0.27026236480493832, 0.26904540764698459, 0.26786341749197695, 0.26673056235173387, 0.26567159335343565, 0.26472070581679757, 0.26391849520523269, 0.26330692468572947, 0.2629229170303905, 0.26279189034838291], [0.25652646772260029, 0.25659530644698175, 0.2568029361987057, 0.25715277597699682, 0.25765079350963005, 0.2583059407328584, 0.2591308323305932, 0.26014275213456461, 0.26136512426032532, 0.26282966991604978, 0.26457961202976288, 0.26667453596225671, 0.26919796021848547, 0.27226951237231001, 0.2760652702883401, 0.28085330693463417, 0.28705921853264604, 0.29539498651436263, 0.30713326499563598, 0.32475190429523582, 0.35365129879320167, 0.40752176555215947, 0.52835209791128468, 0.84763002216489969, 0.968528492899282, 0.43014438588305354, 0.28008333767635524, 0.24345828508093781, 0.23314579860101364, 0.230585990438613, 0.23071646674236612, 0.23186277643634184, 0.23339654332642557, 0.23506396305997324, 0.23676030612703111, 0.23844485138790394, 0.24010591592387817, 0.24174556368859948, 0.24337265523507842, 0.24499965947461966, 0.24664125787283486, 0.24831385348762497, 0.25003557451807712, 0.25182658546231573, 0.25370963128998836, 0.25571080306582339, 0.25786055607369973, 0.26019504884017491, 0.26275791343691879, 0.26560262298329868, 0.26879570229101768, 0.27242114806873147, 0.27658661146078217, 0.28143219006524489, 0.2871431505356421, 0.29396868025593892, 0.30225006480013256, 0.31246389213220932, 0.32528967646228835, 0.34171785294802265, 0.36322530112258861, 0.39206368265131236, 0.43173012371998842, 0.48769810819953263, 0.56835706895230187, 0.68533259074620789, 0.84935753536486036, 1.0512733458143926, 1.2256180639469352, 1.2690099207913443, 1.1694124573839295, 1.0194245266828603, 0.89190570136761638, 0.80781079071465012, 0.7660532212227158, 0.76337309712554891, 0.8008171911091968, 0.88457956300259277, 1.0202422759838115, 1.1861895971156728, 1.2818546561320336, 1.1824810827786281, 0.94740369015685144, 0.72691292492293524, 0.57290439282596051, 0.47382732180304371, 0.41010597872522597, 0.36799145644544506, 0.3391958457025801, 0.31884149748203178, 0.30401333996311564, 0.29291990841975879, 0.28442577353263065, 0.27778929290496401, 0.27251224429722526, 0.26825123575677312, 0.26476402896177759, 0.26187612255131132, 0.2594594110043526, 0.25741822902631906, 0.2556800242391799, 0.25418899688740759, 0.25290168204512969, 0.25178382860039483, 0.25080815968981596, 0.24995274235597015, 0.24919978483559446, 0.24853473835231304, 0.24794561865179954, 0.24742248809593662, 0.24695705644321628, 0.24654237032260956, 0.24617256966869755, 0.24584269520080787, 0.24554853516997097, 0.24528650257898824, 0.24505353624983667, 0.24484702070603118, 0.24466472101933376, 0.2445047296546092, 0.24436542301447034, 0.24424542589417558, 0.24414358244842946, 0.24405893257539357, 0.24399069286147007, 0.24393824141961837, 0.24390110610644328, 0.24387895572842344, 0.24387159395267807, 0.24387280387533622, 0.24387643541258189, 0.24388249387701033, 0.24389098813889676, 0.24390193065022067, 0.24391533747846608, 0.24393122835039291, 0.24394962670600176, 0.24397055976298668, 0.2439940585920225, 0.24402015820329548, 0.24404889764474691, 0.24408032011258657, 0.24411447307466547, 0.24415140840744612, 0.24419118254730959, 0.24423385665711284, 0.24427949680895203, 0.24432817418423794, 0.24437996529229097, 0.24443495220879738, 0.24449322283565048, 0.24455487118380898, 0.2446199976810397, 0.244688709506591, 0.24476112095507097, 0.24483735383206454, 0.24491753788430398, 0.24500181126753423, 0.24509032105555323, 0.24518322379433805, 0.24528068610560338, 0.24538288534466421, 0.24549001031805878, 0.24560226206704752, 0.24571985472387622, 0.2458430164485344, 0.24597199045474866, 0.2461070361350631, 0.24624843029619292, 0.24639646851730057, 0.24655146664560018, 0.24671376244569962, 0.24688371742140958, 0.24706171883146275, 0.24724818192375608, 0.24744355241641372, 0.24764830925834136, 0.24786296770702582, 0.24808808276741853, 0.24832425304288283, 0.24857212505771054, 0.24883239812090038, 0.24910582981305548, 0.24939324219293332, 0.2496955288378416, 0.25001366285353394, 0.25034870601534531, 0.25070181923421109, 0.25107427458041159, 0.25146746914626267, 0.25188294108897158, 0.2523223882696935, 0.25278768999868156, 0.25328093251471534, 0.2538044389771148, 0.25436080494034685, 0.25495294052753825, 0.25558412083816467, 0.25625804654093387, 0.25697891714943727, 0.25775152020228825, 0.25858134053758636, 0.2594746951579171, 0.26043890096233085, 0.26148248507385785, 0.26261545090680777, 0.26384961793430678, 0.2651990599966233, 0.26668067695817588, 0.26831494918198412, 0.27012694621268379, 0.27214769443112757, 0.27441606024677334, 0.27698138754616236, 0.27990726149749107, 0.28327699307053245, 0.28720179982921018, 0.29183333373277098, 0.29738344652430304, 0.30415645468714719, 0.3126039161962556, 0.32342196171062015, 0.33773371917870493, 0.35745342123237744, 0.3860690717903974, 0.43047533352882317, 0.50566835470443894, 0.64730241279001866, 0.93322333949901881, 1.2973516945274126, 0.95983059258480319, 0.51383277978879316, 0.3425920166962334, 0.27989983631935855, 0.25461175690978993, 0.24383235162530731, 0.23937258076135282, 0.2379167685941837, 0.23797800752860529, 0.23883347567128757, 0.24010835024362004, 0.24159747910604623, 0.24318296735742634, 0.24479367463483587, 0.24638429234790379, 0.24792410259640188, 0.24939076518875833, 0.2507668314518377, 0.25203779496817974, 0.25319103820246819, 0.25421531516315632, 0.25510055878910354, 0.25583788235350369, 0.25641968918878916, 0.2568398312754987, 0.25709377373600462, 0.25717873397009527, 0.25709377373600528, 0.25683983127549981, 0.25641968918878932, 0.25583788235350308, 0.25510055878910431, 0.25421531516315499, 0.25319103820246852, 0.25203779496818013, 0.25076683145183942, 0.2493907651887593, 0.24792410259640121, 0.24638429234790182, 0.24479367463483614, 0.24318296735742617, 0.24159747910604698, 0.24010835024362109, 0.23883347567128682, 0.23797800752860448, 0.23791676859418592, 0.23937258076135123, 0.24383235162530464, 0.25461175690978388, 0.27989983631936921, 0.34259201669629824, 0.51383277978894304, 0.95983059258525416, 1.297351694527455, 0.93322333949861291, 0.64730241278997247, 0.50566835470446725, 0.43047533352877443, 0.38606907179040206, 0.35745342123239687, 0.33773371917869999, 0.32342196171062398, 0.31260391619625882, 0.30415645468714603, 0.29738344652430537, 0.29183333373277048, 0.28720179982921323, 0.28327699307053356, 0.27990726149749035, 0.27698138754616303, 0.27441606024677284, 0.27214769443112641, 0.27012694621268307, 0.26831494918198501, 0.26668067695817688, 0.26519905999662396, 0.26384961793430822, 0.26261545090680805, 0.26148248507385613, 0.26043890096232997, 0.25947469515791816, 0.25858134053758647, 0.2577515202022877, 0.25697891714943744, 0.25625804654093359, 0.25558412083816368, 0.25495294052753731, 0.25436080494034585, 0.25380443897711502, 0.25328093251471523, 0.25278768999868212, 0.25232238826969344, 0.25188294108897202, 0.25146746914626267, 0.25107427458041104, 0.25070181923421053, 0.25034870601534598, 0.25001366285353388, 0.24969552883784121, 0.24939324219293368, 0.24910582981305604, 0.24883239812090119, 0.24857212505771056, 0.2483242530428828, 0.24808808276741851, 0.24786296770702526, 0.24764830925834147, 0.24744355241641439, 0.24724818192375572, 0.24706171883146233, 0.24688371742140924, 0.24671376244569976, 0.2465514666456004, 0.24639646851730074, 0.2462484302961927, 0.24610703613506263, 0.24597199045474857, 0.24584301644853446, 0.24571985472387603, 0.24560226206704702, 0.24549001031805862, 0.24538288534466463, 0.24528068610560366, 0.24518322379433738, 0.24509032105555295, 0.24500181126753348, 0.24491753788430376, 0.2448373538320647, 0.24476112095507113, 0.24468870950659069, 0.24461999768103956, 0.2445548711838087, 0.24449322283565028, 0.2444349522087981, 0.24437996529229072, 0.24432817418423866, 0.24427949680895253, 0.24423385665711297, 0.24419118254730937, 0.24415140840744651, 0.24411447307466644, 0.24408032011258629, 0.24404889764474746, 0.24402015820329545, 0.24399405859202244, 0.24397055976298682, 0.24394962670600159, 0.24393122835039288, 0.24391533747846644, 0.24390193065022034, 0.24389098813889687, 0.24388249387701061, 0.24387643541258233, 0.24387280387533639, 0.24387159395267718, 0.24387219886086428, 0.24387401383205323, 0.24387703960628854, 0.2438812774174923, 0.24388672899424457, 0.24389339656087544, 0.24390128283886039, 0.24391039104853868, 0.243920724911144, 0.24393228865114597, 0.24394508699891454, 0.24395912519369795, 0.24397440898692871, 0.24399094464584095, 0.24400873895742292, 0.24402779923269127, 0.24404813331129821, 0.24406974956646701, 0.24409265691027171, 0.24411686479924, 0.2441423832403207, 0.24416922279717854, 0.24419739459684486, 0.24422691033672708, 0.24425778229197009, 0.24429002332318503, 0.2443236468845382, 0.24435866703222628, 0.24439509843331528, 0.24443295637496842, 0.24447225677406639, 0.2445130161872188, 0.24455525182117857, 0.24459898154366128, 0.24464422389459037, 0.24469099809775177, 0.2447393240728914, 0.24478922244824222, 0.24484071457350789, 0.24489382253330208, 0.24494856916104807, 0.24500497805337398, 0.24506307358497953, 0.24512288092402182, 0.24518442604800464, 0.24524773576021069, 0.24531283770667467, 0.24537976039372153, 0.24544853320608889, 0.24551918642565243, 0.24559175125078372, 0.24566625981635168, 0.24574274521441147, 0.24582124151559809, 0.24590178379126926, 0.24598440813642511, 0.24606915169346111, 0.24615605267677862, 0.24624515039833217, 0.24633648529415203, 0.24643009895191439, 0.24652603413963781, 0.24662433483557364, 0.24672504625940594, 0.24682821490483772, 0.24693388857370577, 0.24704211641173515, 0.2471529489460981, 0.24726643812492655, 0.24738263735898383, 0.24750160156568973, 0.24762338721574598, 0.24774805238262668, 0.24787565679523402, 0.24800626189405683, 0.24813993089121086, 0.24827672883479882, 0.24841672267805673, 0.24855998135384424, 0.24870657585507774, 0.24885657932180275, 0.24901006713567203, 0.24916711702268987, 0.24932780916522468, 0.24949222632434925, 0.24966045397378106, 0.24983258044677564, 0.25000869709755624, 0.25018889847900627, 0.25037328253861563, 0.25056195083486416, 0.2507550087765415, 0.25095256588778281, 0.25115473610194755, 0.25136163808787487, 0.25157339561243697, 0.25179013794387589, 0.25201200030088011, 0.25223912435302748, 0.25247165877892774, 0.25270975988913724, 0.25295359232188874, 0.25320332982061411, 0.25345915610345138, 0.25372126583618482, 0.25398986572156806, 0.25426517571967644, 0.25454743041583, 0.25483688055485787, 0.25513379476298731, 0.25543846148155169, 0.25575119114001399, 0.25607231859972074, 0.25640220590420659, 0.2567412453771093, 0.25708986311476578, 0.25744852292765635, 0.25781773079314768, 0.25819803989174989, 0.2585900563106463, 0.25899444551190526, 0.25941193967911835, 0.25984334607558141, 0.26028955657054559, 0.26075155851810228, 0.2612304472073213, 0.26172744014346411, 0.2622438934705531, 0.26392607574240901, 0.2658501584739178, 0.26809063664317556, 0.27075666425691763, 0.27401273524526276, 0.27811546867017217, 0.28348306456433237, 0.29083633168201972, 0.301512027179347, 0.31824350718069438, 0.34742018374488287, 0.40707449875451224, 0.56270817488699965, 1.0202479447751174, 0.69418178879696502, 0.32048584457738788, 0.24822837060200123, 0.23013737013994243, 0.22478397338983488, 0.22325292637089228, 0.22301928117179304, 0.22323207223705338, 0.22357365883188379, 0.22392017787846141, 0.2242245117513314, 0.22447146977066643, 0.22465928067770172, 0.22479154971393214, 0.22487366406120202, 0.22491118449959488, 0.22490915380453746, 0.22487183505666958, 0.22480265025033158, 0.22470420822986859, 0.22457836767418329, 0.22442630868183158, 0.22424860042990974, 0.22404525940988546, 0.22381579629525711, 0.22355925128447948, 0.22327421868423752, 0.22295886205330392, 0.22261092173667116, 0.22222771735204683, 0.22180614905864551, 0.22134270370828568, 0.22083347603845721, 0.22027422232443478, 0.21966047696590452, 0.2189877862927207, 0.21825215811871096, 0.21745090980848625, 0.21658426277969206, 0.21565836666415117, 0.21469114559301064, 0.21372393355819588, 0.21284556672176794, 0.21224491345203284, 0.21233326454152701, 0.2140548413443806, 0.21976632241797586, 0.23611259978670621, 0.2853049340221257, 0.45717504636763073, 1.0024697480299984, 1.0384596486010047, 0.64144083107294259, 0.46623816805875551, 0.38715102451689082, 0.34516407926067894, 0.3199180677588776, 0.30331236572856174, 0.29163932818086924, 0.28300411874896986, 0.27635166785614279, 0.27105330977259451, 0.26671339026585544, 0.26307141454973321, 0.25994924291171106, 0.25722102443334904, 0.25479528506398724, 0.25260383903914924, 0.25059469883380225, 0.2487274221724439, 0.24697000417277451, 0.24529679615701802, 0.2436871550485335, 0.24212467507658383, 0.24059697365176222, 0.23909613485484923, 0.23762010701694031, 0.23617569450953474, 0.23478446666470326, 0.23349436603528206, 0.23240312372057392, 0.23170770387709377, 0.23181542734770491, 0.23361461932713418, 0.23920511177750695, 0.25414651987794162, 0.29559852911054313, 0.42649389467495336, 0.84014911572572193, 1.0640011612567601, 0.68909944713259441, 0.49032106472847597, 0.40150666959204601, 0.35555296521716856, 0.32852525506998242, 0.31106376265025643, 0.29897830004678816, 0.29017087840364642, 0.28349460187046222, 0.27827758935004171, 0.27410390678377022, 0.27070434270302512, 0.26789822524381807, 0.26556066920504789, 0.26360325878131025, 0.26196219309303664, 0.2605907602151511, 0.25945441927572538, 0.25852750898286164, 0.2577910036082795, 0.25723096538767742, 0.25683747591098061, 0.25660391013601747, 0.25652646772260029, 0.25657807114827824, 0.25673340452273358, 0.25699406000949093, 0.25736276892393051, 0.25784352361170115, 0.25844175931504082, 0.25916460878112224, 0.26002124845235464, 0.26102336354216615, 0.26218577143064115, 0.26352726062957615, 0.2650717293030293, 0.26684974830553621, 0.26890073786632329, 0.27127604984934184, 0.2740434163413249, 0.27729351017650883, 0.28114985825126204, 0.28578423863785651, 0.29144135311112973, 0.29847979669191332, 0.30744293075259033, 0.31918742009492712, 0.33512946719548337, 0.35774722966252909, 0.39168106489376664, 0.44632018722266326, 0.54209438862699, 0.72250404335650409, 1.0191544076624846, 1.0698344844061121, 0.66955257315349348, 0.41649151770045634, 0.31322711842412776, 0.26952334451703819, 0.24935524540183207, 0.23944985310004926, 0.23445334215523045, 0.2319821627161546, 0.23088267197366222, 0.23055752998758924, 0.23068028417026662, 0.23106466218480076, 0.23160066967689472, 0.23222158333890391, 0.23288609172825611, 0.2335682430527066, 0.23425159294128997, 0.23492569711397418, 0.23558395615515768, 0.23622226221609838, 0.23683813323698599, 0.23743015005071644, 0.23799758527786827, 0.2385401557096469, 0.23905785535888158, 0.23955084186114267, 0.24001935851984812, 0.24046368035272431, 0.24088407638215134, 0.24128078293664093, 0.24165398439237984, 0.24200379889018869, 0.24233026730793444, 0.24263334427522826, 0.2429128903668131, 0.24316866485722971, 0.24340031859942074, 0.2436073867316616, 0.2437892810434264, 0.24394528196404816, 0.24407453030426435, 0.24417601911568534, 0.24424858638957725, 0.24429090987779326, 0.24430150622162733, 0.24427873804686381, 0.24422083511429454, 0.24412593968088386, 0.24399219312797302, 0.24381789282837243, 0.24360176920812088, 0.2433434707658014, 0.24304441474313748, 0.24270929445580469, 0.24234879743871282, 0.24198462927279435, 0.24165910214518976, 0.24145419464007678, 0.24153141177490936, 0.2422206069185677, 0.24423437500977518, 0.2492410734576587, 0.26161215189960513, 0.29473855575899743, 0.39875067073515702, 0.769521150785761, 1.1649776282898876, 0.74387386057696181, 0.51271770809097361, 0.41673786665094842, 0.36953328621897641, 0.34274388200285683, 0.32591217408147843, 0.3145325022662776, 0.30640641668752078, 0.30035300256879749, 0.29568811194438344, 0.29199035965742282, 0.28898648466239629, 0.28649105276308312, 0.28437279346905986, 0.28253483113406319, 0.28090258358302667, 0.27941615036893969, 0.27802554773170624, 0.2766879848825245, 0.27536687048590897, 0.2740325275866316, 0.27266469309924346, 0.27125671375685101, 0.26982082733000218, 0.26839303896913136, 0.26703515762146479, 0.26583122073576337, 0.26487659753500736, 0.26426072143075963, 0.26404765981289319], [0.25733165573898692, 0.25740367401415309, 0.25762094141911063, 0.25798718312847813, 0.25850890904816948, 0.25919590200617065, 0.26006198101711897, 0.26112613846700605, 0.26241421179433416, 0.2639613509009569, 0.26581571345417837, 0.26804412174344067, 0.27074096803143372, 0.27404271583571449, 0.27815248024741562, 0.28338372400040485, 0.29024248738666081, 0.29959319967708892, 0.31302277561682329, 0.33373059231947727, 0.36902301693391415, 0.43861357981953963, 0.60687408808789234, 1.0158847523329706, 0.75873491775684188, 0.3570298840288948, 0.26375259757703201, 0.23945507339598052, 0.23253911543477004, 0.23109595546130299, 0.2316295165326398, 0.23292361145367069, 0.23450661420650604, 0.23618458853750779, 0.23787750490134729, 0.23955538596830922, 0.24121139658585333, 0.24284986482121806, 0.24448078163260537, 0.24611728317771017, 0.2477745837609516, 0.24946966022208, 0.25122136368622894, 0.25305081436329191, 0.25498202857721608, 0.25704278285001131, 0.25926576109819294, 0.26169007102050673, 0.2643632642968331, 0.26734406235909958, 0.2707060887970506, 0.2745430618298913, 0.27897614003186111, 0.28416449994971055, 0.29032085685345255, 0.29773469978974432, 0.3068078249533997, 0.31810991317369974, 0.33246750272257902, 0.35110973181660582, 0.37591197101299556, 0.40980812008205653, 0.4574820563343599, 0.52645016437072423, 0.62832381045987618, 0.77813274678908395, 0.98248829038464391, 1.1980939578445351, 1.2981491573654607, 1.2057468854611411, 1.0190930678826717, 0.85059297116508836, 0.73348160997700196, 0.66286479739868698, 0.62889746104816269, 0.62611283100401605, 0.65503623412780454, 0.72292666780748849, 0.84387361384512583, 1.0292375673942167, 1.2370770770323678, 1.2981424008639002, 1.1081043046048547, 0.84211211804868835, 0.64120855981823721, 0.51348954094256893, 0.43396687049877591, 0.38308598688141693, 0.34924434424761286, 0.3258552273869465, 0.30912217451934915, 0.29678533525460721, 0.28745067650976275, 0.28022811702946293, 0.27453103642059667, 0.26996158717903052, 0.26624293658174358, 0.26317798562231398, 0.26062349122229062, 0.25847341406460905, 0.25664794376075761, 0.25508610623752292, 0.25374068396181804, 0.25257466131120082, 0.25155869538102754, 0.25066928867757454, 0.24988745021647296, 0.24919770169096911, 0.24858733090318094, 0.24804582470977232, 0.2475644338953383, 0.24713583611189299, 0.24675387249619424, 0.24641334020039918, 0.24610982775945528, 0.24583958357460661, 0.24559941022092191, 0.24538657906217651, 0.24519876096721974, 0.24503396989879281, 0.24489051688048066, 0.24476697240515854, 0.24466213577554163, 0.24457501019797456, 0.24450478270910678, 0.24445080821975718, 0.24441259712470298, 0.24438980606171273, 0.24438223151578822, 0.24438347667182569, 0.24438721397302265, 0.24439344892363993, 0.24440219071414765, 0.24441345224638397, 0.244427250168953, 0.24444360492306932, 0.2444625407990848, 0.24448408600400828, 0.24450827274038758, 0.24453513729698645, 0.2445647201517529, 0.24459706608767387, 0.24463222432213627, 0.24467024865058218, 0.24471119760524304, 0.24475513462992057, 0.2448021282718339, 0.24485225239170688, 0.24490558639338117, 0.24496221547438435, 0.24502223089907493, 0.24508573029610486, 0.24515281798219143, 0.24522360531438187, 0.24529821107324018, 0.24537676187966517, 0.24545939264834965, 0.24554624708124256, 0.24563747820474624, 0.24573324895483803, 0.24583373281478269, 0.24593911451066899, 0.2460495907706361, 0.24616537115437032, 0.24628667896029297, 0.24641375221877496, 0.24654684478081212, 0.24668622751280661, 0.24683218960955433, 0.24698504003913788, 0.24714510913534396, 0.2473127503554168, 0.24748834222350619, 0.24767229048314496, 0.2478650304855757, 0.24806702984480761, 0.24827879139510084, 0.24850085649219392, 0.24873380870632023, 0.24897827796296906, 0.24923494519681538, 0.24950454759556231, 0.24978788452399886, 0.25008582423494669, 0.25039931149352629, 0.25072937626521336, 0.25107714364745543, 0.25144384526052066, 0.25183083235747183, 0.25223959096785753, 0.25267175945773673, 0.25312914897368555, 0.25361376734540991, 0.2541278471568062, 0.25467387886743381, 0.25525465008686055, 0.25587329238861001, 0.25653333741985423, 0.25723878454634497, 0.25799418291001425, 0.2588047316254834, 0.25967640298159406, 0.26061609505955025, 0.26163182229609611, 0.26273295545176262, 0.26393052655170601, 0.26523762019462982, 0.26666988100693811, 0.26824617925052929, 0.26998949472554795, 0.27192810645615551, 0.2740972176660913, 0.27654121144394289, 0.27931683816965569, 0.28249780947019071, 0.28618156689038854, 0.2904995044213573, 0.29563284457787598, 0.30183809085773849, 0.30948934753732094, 0.31915171342004484, 0.33171497754042539, 0.34865164149780659, 0.37255001061205412, 0.40830726355967201, 0.46605029468397974, 0.56888443732170413, 0.77231321053039115, 1.1543137547459879, 1.2636937916465609, 0.71605925469933451, 0.41606982911892043, 0.30856640044254208, 0.26716031883247782, 0.24979436635274799, 0.24234358217276811, 0.23942637279983842, 0.23874384232963583, 0.23922005180798564, 0.24031366838208279, 0.24173580369649672, 0.24332423700943573, 0.24498337165497122, 0.24665392168767419, 0.24829690151218686, 0.24988487071491142, 0.25139703402869862, 0.25281647696542303, 0.25412863013025783, 0.25532046418421617, 0.2563801301760682, 0.25729687363519477, 0.25806111296916578, 0.25866460764010518, 0.25910066220656547, 0.25936432568070145, 0.25945255568244924, 0.25936432568070233, 0.25910066220656669, 0.25866460764010524, 0.25806111296916501, 0.25729687363519566, 0.2563801301760667, 0.25532046418421656, 0.25412863013025816, 0.25281647696542481, 0.25139703402869951, 0.24988487071491075, 0.24829690151218478, 0.24665392168767444, 0.24498337165497097, 0.24332423700943639, 0.24173580369649783, 0.24031366838208179, 0.23922005180798445, 0.23874384232963797, 0.2394263727998375, 0.24234358217276608, 0.2497943663527443, 0.2671603188324852, 0.30856640044258377, 0.41606982911901247, 0.71605925469968856, 1.2636937916462219, 1.1543137547455162, 0.77231321053032098, 0.56888443732174243, 0.46605029468391507, 0.40830726355967872, 0.37255001061207832, 0.34865164149779981, 0.33171497754042972, 0.31915171342004861, 0.30948934753731955, 0.3018380908577411, 0.29563284457787542, 0.2904995044213608, 0.28618156689038987, 0.28249780947018993, 0.27931683816965625, 0.27654121144394223, 0.27409721766609024, 0.27192810645615462, 0.26998949472554901, 0.26824617925053029, 0.26666988100693878, 0.26523762019463121, 0.26393052655170629, 0.26273295545176079, 0.26163182229609522, 0.26061609505955136, 0.25967640298159417, 0.25880473162548262, 0.2579941829100143, 0.25723878454634469, 0.25653333741985324, 0.25587329238860906, 0.25525465008685949, 0.25467387886743392, 0.25412784715680609, 0.25361376734541063, 0.25312914897368549, 0.25267175945773723, 0.25223959096785747, 0.25183083235747128, 0.2514438452605201, 0.25107714364745598, 0.2507293762652133, 0.25039931149352601, 0.25008582423494702, 0.24978788452399947, 0.24950454759556309, 0.24923494519681533, 0.24897827796296895, 0.24873380870632011, 0.24850085649219322, 0.2482787913951009, 0.24806702984480827, 0.24786503048557523, 0.24767229048314443, 0.24748834222350596, 0.24731275035541692, 0.24714510913534421, 0.24698504003913796, 0.24683218960955405, 0.24668622751280592, 0.24654684478081196, 0.24641375221877498, 0.2462866789602928, 0.24616537115436979, 0.24604959077063593, 0.24593911451066933, 0.24583373281478285, 0.24573324895483739, 0.24563747820474607, 0.24554624708124181, 0.24545939264834943, 0.24537676187966539, 0.24529821107324035, 0.2452236053143815, 0.24515281798219132, 0.24508573029610453, 0.24502223089907477, 0.24496221547438504, 0.24490558639338086, 0.2448522523917076, 0.24480212827183437, 0.24475513462992063, 0.24471119760524288, 0.24467024865058254, 0.24463222432213724, 0.24459706608767368, 0.24456472015175351, 0.24453513729698625, 0.24450827274038764, 0.24448408600400831, 0.24446254079908469, 0.24444360492306921, 0.24442725016895323, 0.24441345224638361, 0.24440219071414782, 0.24439344892364023, 0.24438721397302313, 0.24438347667182578, 0.24438223151578736, 0.24438285403877144, 0.24438472186353291, 0.24438783575767042, 0.24439219700106304, 0.24439780738670069, 0.24440466922184642, 0.24441278532952149, 0.24442215905033507, 0.24443279424464723, 0.24444469529506088, 0.24445786710926148, 0.2444723151231894, 0.24448804530456264, 0.24450506415673423, 0.24452337872290653, 0.24454299659069068, 0.24456392589702328, 0.24458617533343596, 0.244609754151694, 0.2446346721697836, 0.24466093977829151, 0.24468856794713845, 0.24471756823269711, 0.24474795278529898, 0.24477973435712275, 0.24481292631048138, 0.24484754262650338, 0.24488359791423298, 0.24492110742013062, 0.24496008703799754, 0.24500055331933371, 0.24504252348412456, 0.24508601543207378, 0.24513104775428549, 0.24517763974541573, 0.24522581141628466, 0.24527558350697873, 0.24532697750043764, 0.2453800156365521, 0.24543472092677635, 0.24549111716926159, 0.24554922896454973, 0.24560908173180798, 0.24567070172565272, 0.24573411605355416, 0.24579935269386297, 0.24586644051446355, 0.24593540929208182, 0.24600628973227306, 0.24607911349011205, 0.24615391319162486, 0.24623072245597721, 0.24630957591847069, 0.24639050925437422, 0.24647355920364064, 0.24655876359654749, 0.24664616138032788, 0.24673579264682388, 0.24682769866125967, 0.24692192189217552, 0.24701850604262146, 0.24711749608269074, 0.24721893828348901, 0.24732288025266386, 0.24742937097159634, 0.24753846083441444, 0.24765020168896548, 0.24776464687993649, 0.24788185129429791, 0.24800187140930985, 0.24812476534331782, 0.24825059290961835, 0.24837941567370553, 0.24851129701423894, 0.24864630218812134, 0.2487844984001206, 0.24892595487753222, 0.24907074295041653, 0.24921893613804261, 0.24937061024221799, 0.24952584344829329, 0.24968471643470755, 0.2498473124920475, 0.25001371765274794, 0.25018402083263208, 0.25035831398571845, 0.25053669227382191, 0.25071925425272612, 0.25090610207687081, 0.25109734172478743, 0.25129308324774224, 0.25149344104439053, 0.25169853416456661, 0.25190848664572796, 0.25212342788602277, 0.25234349305839704, 0.25256882357078747, 0.25279956757798905, 0.25303588055153942, 0.2532779259147705, 0.25352587575102425, 0.25377991159412977, 0.25404022531132164, 0.25430702009016543, 0.25458051154250738, 0.25486092894020296, 0.25514851659933602, 0.25544353543185083, 0.25574626468611161, 0.25605700390084318, 0.25637607510031685, 0.25670382526253877, 0.25704062909680997, 0.25738689217225819, 0.25774305444515638, 0.25810959424001756, 0.25848703274794604, 0.2588759391156697, 0.25927693621044978, 0.25969070716002479, 0.26011800278332298, 0.2605596500475742, 0.26101656171116205, 0.26148974734029495, 0.26198032592214948, 0.26248954033929106, 0.26301877402140622, 0.26356957015336424, 0.26536965368435655, 0.26744014173423625, 0.26986683873721568, 0.2727765200711294, 0.27636227232264554, 0.28092942861137715, 0.28698429479658666, 0.2954193864709363, 0.30793963472685187, 0.32817341391410421, 0.36508815447339638, 0.44605833448339072, 0.67842398050681352, 1.1408140294795475, 0.50810310700896877, 0.28670219744181574, 0.24098613074479369, 0.22858983583544656, 0.22483203571768795, 0.22381619134867062, 0.22375315863196751, 0.22401327350904932, 0.22435563270213535, 0.22468564710160965, 0.22496804679728769, 0.22519255537370944, 0.22535939931101567, 0.22547291318519339, 0.22553865707903337, 0.22556212709049225, 0.22554820953024471, 0.22550098612750563, 0.22542370269775278, 0.22531880975684829, 0.22518803003682569, 0.22503243091797182, 0.22485249142630068, 0.22464815935874591, 0.22441889709724699, 0.22416371618417988, 0.22388120150972207, 0.22356952643358236, 0.22322646060693765, 0.22284937291158627, 0.22243523306870064, 0.22198061750134149, 0.22148172865405655, 0.22093444340609175, 0.2203344177110389, 0.21967729539324363, 0.21895910734096533, 0.2181770195603403, 0.2173307286087727, 0.21642508374963168, 0.21547510082716034, 0.21451581198962341, 0.21362234558115709, 0.21295289010401353, 0.21284650431019569, 0.21406417869607899, 0.21844690403062175, 0.23096745012618239, 0.26732131235221862, 0.38778329006801071, 0.81857470327257931, 1.1783896162727392, 0.74097844585222539, 0.50880001003362574, 0.40866713199682125, 0.35786804403900696, 0.32831674503512448, 0.30934171948804362, 0.2962432631598122, 0.28669042296397451, 0.27941537449173309, 0.27367669844443043, 0.26901485968780259, 0.26513114044395342, 0.2618234710392911, 0.25895043878723145, 0.25641011829669036, 0.2541271074522094, 0.25204431283925305, 0.25011759618005669, 0.24831221199424519, 0.24660041585055018, 0.24495988366125904, 0.24337274837392087, 0.24182518455909027, 0.24030759298944041, 0.23881559947744269, 0.2373523547317635, 0.23593314539442595, 0.23459441730558633, 0.23341173883973249, 0.23253699822937271, 0.23227988922614698, 0.23330001576904824, 0.23710440833147117, 0.24750075971680011, 0.27554188626991427, 0.3594979838872932, 0.64295115372911915, 1.1255157928247481, 0.82503271226395203, 0.54831588654907304, 0.42872967813484142, 0.37049196140556695, 0.33777185784994052, 0.31732003962705502, 0.30350548392252852, 0.29362177278109863, 0.28623577057610977, 0.28052873810295043, 0.27600393666371131, 0.27234508314445388, 0.26934276291748749, 0.26685383958340764, 0.26477792411660683, 0.26304314596722017, 0.26159723392803363, 0.26040175193846726, 0.25942827810900071, 0.25865582130318721, 0.25806905211599257, 0.25765708863625114, 0.25741267548105268, 0.25733165573898692, 0.2573856418140601, 0.25754817269904356, 0.25782099208067388, 0.25820709351219928, 0.25871085773205543, 0.25933825805532529, 0.26009714881890128, 0.26099765910714801, 0.26205272414301961, 0.26327880141269583, 0.26469684034837826, 0.26633360735751049, 0.26822351902710329, 0.27041121715425698, 0.27295525033192108, 0.27593344499511135, 0.27945092250097786, 0.28365237936909815, 0.28874145744927776, 0.29501233534132154, 0.30290326289271879, 0.31309137560638434, 0.32666943592489045, 0.3454954365737955, 0.37293283599833538, 0.41553876638352144, 0.48717336113749887, 0.61874857141711759, 0.86645638609540776, 1.1399398392439621, 0.88939714394737046, 0.51992125600370809, 0.35472636262570395, 0.28776774852798015, 0.25824882531440835, 0.24417171414786379, 0.23714438418308459, 0.23361708931398076, 0.23194194083326722, 0.23129359506375677, 0.2312327737501263, 0.23151405224798727, 0.23199490646477045, 0.23259000051002113, 0.23324701656823066, 0.2339333142440049, 0.23462829272529437, 0.23531887863020637, 0.23599678747187611, 0.23665682241051619, 0.23729579591270564, 0.23791183425997617, 0.23850392221082062, 0.239071601025343, 0.23961476596930642, 0.2401335292218077, 0.2406281262757401, 0.24109885152837604, 0.24154601359664127, 0.24196990401308968, 0.24237077499999951, 0.24274882337027359, 0.24310417850814162, 0.24343689299399518, 0.24374693485528678, 0.24403418071437813, 0.24429840930823513, 0.24453929500444593, 0.24475640105613222, 0.24494917244396386, 0.2451169282656884, 0.24525885377433887, 0.24537399236597801, 0.24546123812119341, 0.245519329982371, 0.24554684941593657, 0.24554222465634337, 0.24550374668049554, 0.24542960547709572, 0.24531796094073771, 0.2451670726097373, 0.24497552975067088, 0.24474265416338845, 0.24446920461401397, 0.24415861835205258, 0.2438192327299355, 0.24346835000933725, 0.24313989702187755, 0.24289941063038534, 0.24287476518249226, 0.2433229818792943, 0.24478657523675348, 0.24849523189694611, 0.25752962260790213, 0.2807632924164275, 0.34906388263343702, 0.58997878522368841, 1.1674698045978471, 0.90595041114603181, 0.57942000525284465, 0.44779968937665743, 0.38715512662237267, 0.35437370943042462, 0.3344995855276629, 0.32143227301197563, 0.31231884212406735, 0.30567679575110623, 0.30067002415387428, 0.29679512618967296, 0.29373213375421309, 0.29126772817766361, 0.28925297642423264, 0.28757852167386772, 0.28615898738982093, 0.28492237505205953, 0.28380224333122916, 0.28273164877315671, 0.28163881347811226, 0.2804456196992316, 0.27907140019682869, 0.27744555254282099, 0.27553153924502038, 0.27335926373300284, 0.27105238533266862, 0.26882931061210691, 0.26696446424766118, 0.26572093999463287, 0.26528433867344642], [0.25877224914145747, 0.25884785800556576, 0.25907600980257317, 0.25946077825203051, 0.26000929129693973, 0.26073228082907735, 0.26164494521945814, 0.26276824046561209, 0.2641307893645401, 0.26577171938227168, 0.26774494814063166, 0.27012580737178488, 0.27302158831595019, 0.27658893948165703, 0.28106381262641461, 0.28681567624721549, 0.29445180238216478, 0.30503328992994583, 0.3205656443490032, 0.34525041817478114, 0.38919128999109598, 0.48153787817696664, 0.72077511554407214, 1.1102454972221978, 0.56892455537497799, 0.31300210864686551, 0.25379240158706978, 0.23748014989571622, 0.2329326470088984, 0.23230881941276882, 0.23314961121401209, 0.23456079554529669, 0.23618577792937084, 0.23787603041697852, 0.23957076093941035, 0.24124856374200632, 0.2429065799120079, 0.24455107613093832, 0.24619308923312064, 0.24784645043210521, 0.24952699216193333, 0.25125238575943071, 0.25304235512221512, 0.25491915751647926, 0.25690830185562991, 0.25903952534016317, 0.26134809076160848, 0.26387651099050369, 0.26667686428621618, 0.26981394592681557, 0.27336962542111287, 0.27744897175777622, 0.2821890181466753, 0.28777154307777558, 0.29444208967298996, 0.30253889123801819, 0.31253790229482525, 0.32512466553181413, 0.341312011756564, 0.36263783239670433, 0.39150497281243918, 0.43177263866552945, 0.48976863386702252, 0.57584753271467948, 0.70576282328431961, 0.89633129059475247, 1.1347056279686534, 1.3087068389949139, 1.2642258905319173, 1.0564040919242474, 0.84727847678673307, 0.69841570579196632, 0.60474726869574291, 0.55049930919228884, 0.52465272597845536, 0.52211253927333778, 0.54308789571626814, 0.59357493952067342, 0.6874018550216171, 0.8473312811190773, 1.0858128227490809, 1.3070812296340295, 1.2650454199284027, 0.98894120914092187, 0.73170385749680678, 0.56512694556124532, 0.46431228471474967, 0.40197616628116234, 0.36174334567418376, 0.33461092215928501, 0.31557762951504903, 0.30176414889584219, 0.29144413040309697, 0.28354130109697778, 0.27736036359258653, 0.27243762447130954, 0.26845499027846631, 0.26518871358257212, 0.26247786674059509, 0.26020438437943832, 0.2582800958364026, 0.25663809810285798, 0.25522689217263955, 0.25400631926344241, 0.25294469400163294, 0.2520167489423174, 0.25120213874624153, 0.25048433667660108, 0.24984981023273736, 0.24928739814318551, 0.24878783448014671, 0.24834338155375599, 0.2479475441363729, 0.2475948451318549, 0.24728064812580353, 0.24700101604048644, 0.24675259784477971, 0.24653253725322569, 0.24633839880631167, 0.2461681078060714, 0.24601990139172461, 0.24589228865308338, 0.24578401814745424, 0.2456940515466155, 0.24562154242178016, 0.24556581939648883, 0.24552637307526465, 0.24550284630103045, 0.24549502741550247, 0.24549631278651082, 0.24550017080472328, 0.24550660719096171, 0.2455156314974779, 0.24552725713438572, 0.24554150140685624, 0.24555838556329229, 0.24557793485473361, 0.24560017860582611, 0.24562515029774229, 0.24565288766351898, 0.2456834327963375, 0.24571683227137892, 0.24575313728191861, 0.24579240379049344, 0.2458346926959836, 0.24588007001763756, 0.24592860709712802, 0.24598038081989254, 0.24603547385713129, 0.24609397492998905, 0.24615597909765327, 0.24622158807123368, 0.24629091055555247, 0.24636406262118418, 0.24644116810935104, 0.24652235907257575, 0.2466077762543272, 0.24669756961126701, 0.24679189888211089, 0.24689093420761249, 0.24699485680669625, 0.24710385971437851, 0.24721814858780689, 0.24733794258752673, 0.24746347534199145, 0.24759499600434368, 0.24773277041168185, 0.2478770823583599, 0.24802823499645366, 0.24818655237828693, 0.24835238115801267, 0.24852609247165325, 0.24870808401781272, 0.24889878236454757, 0.24909864551172911, 0.24930816574272521, 0.24952787280454952, 0.2497583374618681, 0.25000017547771247, 0.25025405208255891, 0.25052068700397601, 0.25080086014168174, 0.25109541798801194, 0.2514052809121477, 0.25173145144862852, 0.25207502375772828, 0.25243719445830226, 0.25281927507428942, 0.25322270638614097, 0.25364907504056022, 0.2541001328493786, 0.25457781930546081, 0.25508428796598442, 0.255621937508689, 0.25619344846492453, 0.256801826888094, 0.25745045654569931, 0.25814316165306284, 0.25888428273144676, 0.25967876892155112, 0.26053229108329823, 0.26145138136180457, 0.26244360673744488, 0.26351778660861785, 0.26468426798026334, 0.26595527679902686, 0.26734537107026279, 0.2688720316661104, 0.27055644183975697, 0.27242452903870173, 0.2745083769628599, 0.27684816911013754, 0.27949490952132516, 0.28251430348530426, 0.28599240915700708, 0.29004406206316452, 0.29482576634013968, 0.30055601553533062, 0.30754842960939893, 0.3162679421951114, 0.32743048846739375, 0.34218950635067752, 0.36250735088530511, 0.39195149863220841, 0.43755317782209996, 0.5145531602278971, 0.65910388612675352, 0.95123708293033293, 1.3427917348567067, 1.0243806918365514, 0.54474959701916126, 0.356504819008644, 0.28733687458355806, 0.25931687060711495, 0.24725801832371888, 0.2421613361044106, 0.24038704609963465, 0.2403033541219422, 0.2411166260578535, 0.24241488268423089, 0.24397231239163431, 0.24565893793432636, 0.24739618887679946, 0.24913391012146668, 0.25083796973320738, 0.25248337479535787, 0.25405037950648357, 0.25552228639855251, 0.2568842423281848, 0.25812263855244749, 0.2592248863520038, 0.26017942701289604, 0.26097588291394486, 0.26160528347106093, 0.26206031580698053, 0.26233556086636489, 0.26242768443925962, 0.26233556086636572, 0.26206031580698197, 0.26160528347106099, 0.2609758829139443, 0.26017942701289687, 0.2592248863520023, 0.25812263855244783, 0.25688424232818519, 0.25552228639855418, 0.2540503795064844, 0.25248337479535715, 0.25083796973320516, 0.2491339101214671, 0.24739618887679932, 0.24565893793432714, 0.24397231239163553, 0.24241488268422992, 0.24111662605785183, 0.24030335412194434, 0.24038704609963435, 0.24216133610440899, 0.24725801832371658, 0.25931687060711961, 0.28733687458358687, 0.35650481900870462, 0.54474959701940495, 1.0243806918360963, 1.3427917348564495, 0.95123708293023324, 0.65910388612680959, 0.51455316022780329, 0.43755317782211084, 0.39195149863223827, 0.36250735088529679, 0.34218950635068346, 0.32743048846739864, 0.31626794219511006, 0.30754842960940176, 0.30055601553533023, 0.29482576634014346, 0.2900440620631658, 0.28599240915700641, 0.28251430348530493, 0.2794949095213245, 0.27684816911013649, 0.27450837696285901, 0.2724245290387029, 0.27055644183975797, 0.26887203166611118, 0.26734537107026429, 0.2659552767990272, 0.26468426798026135, 0.26351778660861686, 0.2624436067374461, 0.26145138136180474, 0.26053229108329756, 0.25967876892155123, 0.25888428273144631, 0.25814316165306184, 0.25745045654569843, 0.25680182688809289, 0.25619344846492476, 0.25562193750868895, 0.25508428796598503, 0.2545778193054607, 0.25410013284937893, 0.25364907504056006, 0.25322270638614047, 0.25281927507428881, 0.25243719445830287, 0.25207502375772828, 0.25173145144862813, 0.25140528091214798, 0.25109541798801249, 0.25080086014168246, 0.25052068700397589, 0.25025405208255869, 0.25000017547771247, 0.24975833746186746, 0.24952787280454961, 0.24930816574272585, 0.24909864551172872, 0.2488987823645471, 0.24870808401781244, 0.2485260924716533, 0.24835238115801289, 0.24818655237828716, 0.24802823499645338, 0.24787708235835917, 0.24773277041168174, 0.24759499600434373, 0.24746347534199126, 0.24733794258752625, 0.24721814858780686, 0.24710385971437884, 0.2469948568066965, 0.24689093420761177, 0.24679189888211056, 0.24669756961126629, 0.24660777625432698, 0.24652235907257605, 0.24644116810935118, 0.24636406262118393, 0.24629091055555227, 0.24622158807123334, 0.24615597909765302, 0.24609397492998972, 0.24603547385713104, 0.24598038081989326, 0.24592860709712844, 0.2458800700176377, 0.2458346926959834, 0.24579240379049375, 0.24575313728191961, 0.24571683227137878, 0.24568343279633806, 0.24565288766351881, 0.24562515029774235, 0.24560017860582631, 0.24557793485473359, 0.24555838556329204, 0.24554150140685649, 0.24552725713438531, 0.24551563149747807, 0.24550660719096207, 0.24550017080472367, 0.24549631278651093, 0.24549502741550153, 0.24549567004383246, 0.2454975981950063, 0.24550081266774917, 0.24550531479385565, 0.24551110643907584, 0.24551819000435482, 0.24552656842741924, 0.2455362451847303, 0.24554722429379242, 0.24555951031581608, 0.24557310835874985, 0.24558802408067032, 0.24560426369354707, 0.24562183396736573, 0.24564074223463489, 0.2456609963952629, 0.24568260492181943, 0.2457055768651768, 0.2457299218605474, 0.24575565013390105, 0.24578277250880165, 0.24581130041362939, 0.24584124588922043, 0.24587262159692524, 0.24590544082708529, 0.24593971750794169, 0.24597546621497485, 0.2460127021807019, 0.24605144130491222, 0.24609170016536927, 0.24613349602898829, 0.24617684686348726, 0.24622177134953085, 0.24626828889337146, 0.2463164196400135, 0.24636618448688768, 0.24641760509807509, 0.24647070391907275, 0.24652550419213315, 0.24658202997218262, 0.2466403061433291, 0.24670035843600419, 0.24676221344471946, 0.24682589864649412, 0.24689144241994754, 0.24695887406510458, 0.24702822382392042, 0.24709952290156284, 0.24717280348847906, 0.24724809878327941, 0.24732544301648243, 0.24740487147514362, 0.24748642052842901, 0.24757012765416839, 0.24765603146644757, 0.24774417174429059, 0.24783458946150674, 0.24792732681775051, 0.2480224272708991, 0.24811993557081205, 0.24821989779457651, 0.24832236138334549, 0.24842737518087687, 0.2485349894739208, 0.24864525603457963, 0.2487582281648249, 0.24887396074333074, 0.24899251027484967, 0.24911393494233114, 0.24923829466206043, 0.24936565114208314, 0.24949606794423748, 0.24962961055015367, 0.24976634643161028, 0.24990634512569537, 0.25004967831526792, 0.25019641991528679, 0.25034664616561841, 0.25050043573103953, 0.25065786980921073, 0.25081903224751423, 0.25098400966973866, 0.2511528916137159, 0.25132577068118112, 0.25150274270121842, 0.25168390690889686, 0.25186936614083322, 0.25205922704967687, 0.25225360033972133, 0.25245260102615874, 0.25265634872075327, 0.25286496794710162, 0.25307858848900816, 0.25329734577594859, 0.25352138131010848, 0.25375084313999474, 0.25398588638632547, 0.25422667382653269, 0.25447337654506996, 0.25472617465763753, 0.25498525811841727, 0.25525082762066836, 0.25552309560228798, 0.25580228736953742, 0.25608864235382517, 0.25638241551844637, 0.25668387893446559, 0.25699332354751575, 0.2573110611603161, 0.25763742665917566, 0.25797278051676725, 0.25831751160806876, 0.25867204038183605, 0.25903682243621051, 0.25941235255449019, 0.25979916926569774, 0.26019786000479939, 0.26060906695944036, 0.2610334937043377, 0.26147191274144882, 0.26192517408429516, 0.26239421504919752, 0.26288007144537789, 0.26338389039137811, 0.26390694502815981, 0.26445065145174795, 0.26501658825241065, 0.26560651912650746, 0.26754127204778344, 0.26977970194814582, 0.27242118751120303, 0.27561389094053529, 0.27958607410528002, 0.28470401050257582, 0.29158657252863396, 0.3013516806892228, 0.31620515110691549, 0.34105330434446485, 0.38879828272699174, 0.50231954010225477, 0.85196832917417487, 1.0061651805214644, 0.39763299963424392, 0.26681019317482824, 0.23686135059871699, 0.22822438196418082, 0.22559294633219362, 0.22495499733332508, 0.2250187304605788, 0.22531257721338138, 0.22565269344421551, 0.22596692491747083, 0.22622930136903338, 0.22643348223003595, 0.22658132428242969, 0.2266777703484098, 0.22672853193276687, 0.22673905726005514, 0.22671410519532917, 0.22665760636058524, 0.22657265748482086, 0.2264615732243408, 0.22632595798477917, 0.22616677946830041, 0.22598443542868638, 0.22577881010363068, 0.22554931932789601, 0.22529494460582691, 0.22501425707497774, 0.22470543268993604, 0.22436626033836973, 0.22399414517818186, 0.22358611050058366, 0.2231388032437919, 0.22264851151397211, 0.22211120818571639, 0.22152264480309114, 0.22087853822558276, 0.220174925749162, 0.2194088265941696, 0.21857946691838087, 0.21769056180215984, 0.21675463375100637, 0.21580139242861845, 0.21489456741675003, 0.21416728706395988, 0.21390087727543147, 0.21471384410586752, 0.21806021954283755, 0.22771553945974884, 0.25497245529165286, 0.34060563774566294, 0.65093095382723642, 1.2282908360453351, 0.8724343102887151, 0.56517282495239551, 0.43612479519901515, 0.37374322886915062, 0.33874632167917534, 0.31685762793565247, 0.30204156158755513, 0.29139915723606569, 0.28339266676747144, 0.27714054821272677, 0.27210517694314856, 0.26794172587574616, 0.26441956628389351, 0.26137887436479851, 0.25870544641659959, 0.2563154503034451, 0.25414585539021861, 0.25214824321140739, 0.25028470953628551, 0.24852511329974331, 0.2468452381832579, 0.24522562292388123, 0.24365094943826526, 0.242109995062813, 0.24059629577629427, 0.23910988733256966, 0.23766089719427941, 0.23627658369384313, 0.23501520757037403, 0.2339942641726602, 0.23345090366679547, 0.23388017656200918, 0.23637970330168434, 0.24360883945614742, 0.262861111774644, 0.31774727153113147, 0.49833643571803282, 1.0060964714711875, 0.99608787719651481, 0.63065626596967062, 0.46547371423976841, 0.38989989772546629, 0.34957693860951977, 0.32529581302481059, 0.30933475605775368, 0.29814544513644564, 0.28991336071793228, 0.28362985554425307, 0.27869616590848378, 0.27473771309160744, 0.27151004489767883, 0.26884806571556741, 0.26663713687255541, 0.2647958711681313, 0.26326549139181071, 0.26200303228500821, 0.26097687934066272, 0.26016377862571111, 0.25954680438531164, 0.25911397267289099, 0.25885730868756696, 0.25877224914145747, 0.25882892587478123, 0.25899958519459904, 0.25928614347968471, 0.25969189343765092, 0.2602216594987895, 0.26088203081641775, 0.26168168955436399, 0.2626318608147592, 0.26374692281882256, 0.26504523382919881, 0.26655025903535862, 0.26829212152826631, 0.27030976550508201, 0.27265402239525977, 0.27539203904974341, 0.27861381149364445, 0.28244206244509229, 0.28704759075105019, 0.292673882977667, 0.29967801505423974, 0.30860148557644224, 0.32029887718095595, 0.33618487429488886, 0.35873997231448213, 0.3926239679383457, 0.44731937793639359, 0.54369636285081702, 0.72748514451335877, 1.0392591350659819, 1.1052005253909707, 0.68415416146310437, 0.42122681218554531, 0.3156908349442708, 0.27144622011297459, 0.25114395133341472, 0.24121425478498454, 0.23622645181329571, 0.23377444553697549, 0.23269741013542611, 0.23239564240398511, 0.23254194577225568, 0.23294986538192855, 0.2335094155369104, 0.23415393952927771, 0.23484220312839865, 0.23554832701667788, 0.23625593107912141, 0.23695462776528861, 0.23763786877891138, 0.23830159382888005, 0.23894336667423549, 0.23956181375040517, 0.2401562543137839, 0.24072645385872043, 0.24127245804681202, 0.2417944798835146, 0.24229282248026926, 0.24276782579583833, 0.243219829629267, 0.24364914765661971, 0.24405604896147295, 0.24444074461242107, 0.24480337758268916, 0.2451440148104963, 0.24546264054394648, 0.24575915035370399, 0.24603334536616756, 0.246284926394368, 0.24651348774239473, 0.24671851054777399, 0.24689935562094034, 0.24705525586048577, 0.2471853084932078, 0.24728846764717413, 0.24736353817428663, 0.24740917229332893, 0.24742387168611604, 0.24740599941921168, 0.24735380894714262, 0.24726550229400299, 0.24713933776233149, 0.24697382183706743, 0.24676804531630336, 0.2465222697107094, 0.24623895573024501, 0.24592459069971512, 0.24559300094150541, 0.24527151998164359, 0.24501287930290028, 0.24491914851320659, 0.24519261826845509, 0.24625152992200436, 0.24901681560263997, 0.25570488480304482, 0.27235484841294327, 0.31849585360516963, 0.47158212731028887, 0.98283273874529298, 1.102279075261118, 0.67490943658748159, 0.48982171083688414, 0.41003819131053454, 0.36921198844209946, 0.3454437270958215, 0.33030937972425745, 0.32004946357387604, 0.31278194193361741, 0.30747882301947316, 0.30354020237909191, 0.30059819861827231, 0.29841897721447719, 0.29685011335469691, 0.2957899521264945, 0.29516730884407744, 0.29492433001919272, 0.29499629101572516, 0.2952811417898627, 0.29559125884493609, 0.2955887124736713, 0.29474460564363519, 0.29244601985614926, 0.28838694938140008, 0.28303348336533646, 0.27751792740562464, 0.27289981542355662, 0.26965929922916376, 0.26780773848850825, 0.26721228476370373], [0.26049712918180251, 0.26057667368434684, 0.26081675918339059, 0.26122185209374998, 0.26179977783213326, 0.26256234198940104, 0.26352630860276405, 0.26471487181359654, 0.26615984538719351, 0.26790494145912802, 0.27001076511268085, 0.27256261321841246, 0.27568303809079914, 0.27955286378292915, 0.28444795547407248, 0.29080709436469554, 0.29936565975406804, 0.31144071686884339, 0.32960257741004606, 0.35947037084047395, 0.415353971078678, 0.54149617067062428, 0.87904474932205867, 1.0091816146781485, 0.44267647430629414, 0.28619053995722238, 0.24776625411794806, 0.23677027865502154, 0.23390503657288841, 0.23388808002117642, 0.23496276952422607, 0.23646502894801719, 0.23812379085301175, 0.2398252975726094, 0.24152383258952137, 0.24320484708238457, 0.24486874055874638, 0.24652343198804857, 0.24818091527198236, 0.24985572469177472, 0.25156437206133947, 0.25332532026294585, 0.25515929449052555, 0.25708985248059874, 0.25914420339325872, 0.26135431250273466, 0.26375837198349406, 0.26640276818993847, 0.26934474394073854, 0.27265605477828381, 0.27642807297926592, 0.28077903865323123, 0.28586455633479302, 0.29189309937060681, 0.29914941567699954, 0.30803070465420834, 0.31910397594777673, 0.33319950373817958, 0.35156748983754849, 0.37614820068200971, 0.41004915396490427, 0.45839685316833922, 0.52981034676237215, 0.63853180193783299, 0.80494298522935215, 1.0404842361130151, 1.2797161432101125, 1.3282295060578437, 1.1304680481872988, 0.8807298330187362, 0.69572988327343843, 0.57864708240868235, 0.5081420181154731, 0.46787837650524861, 0.44865808043658728, 0.44647869861268902, 0.46139130370937542, 0.49778432108055831, 0.56645399905576965, 0.68874682942707399, 0.89726143926098512, 1.189096061411093, 1.3557770823918907, 1.1602074690176989, 0.85036008067491653, 0.63224522301553143, 0.50249454248795533, 0.42502954249807889, 0.3766440241548904, 0.34488125602138475, 0.32307369963374699, 0.30751513775134565, 0.29604944265119115, 0.28736592939853661, 0.28063552253139962, 0.27531498355594386, 0.27103715237623094, 0.26754700825898259, 0.26466310053726722, 0.2622535393332045, 0.26022062087193015, 0.25849072807546752, 0.25700754220991334, 0.25572738423327862, 0.25461595681892957, 0.25364602646748502, 0.25279574839047253, 0.25204743842055544, 0.25138666071782806, 0.25080154181123782, 0.25028224904064345, 0.24982058990497372, 0.24940970136450472, 0.24904380679832036, 0.24871802436728818, 0.2484282148146767, 0.24817085980280973, 0.24794296410422301, 0.24774197659016983, 0.2475657261597419, 0.24741236964867697, 0.24728034943187138, 0.24716835894709202, 0.24707531476199479, 0.24700033411322159, 0.24694271708764984, 0.24690193280861486, 0.24687760914679358, 0.24686952560606779, 0.24687085442355622, 0.2468748428592441, 0.24688149686833374, 0.24689082639463128, 0.24690284539836521, 0.24691757189533536, 0.24693502800762246, 0.24695524002612548, 0.24697823848528194, 0.24700405825038563, 0.24703273861799407, 0.24706432342999141, 0.24709886120197569, 0.24713640526668304, 0.24717701393333719, 0.24722075066382151, 0.24726768426677417, 0.24731788911076949, 0.24737144535792163, 0.24742843921938443, 0.24748896323437869, 0.24755311657460152, 0.24762100537601817, 0.24769274310031889, 0.24776845092855149, 0.24784825818972558, 0.24793230282751183, 0.24802073190850948, 0.24811370217597242, 0.24821138065331141, 0.24831394530223747, 0.24842158574096723, 0.2485345040285831, 0.24865291552239047, 0.24877704981596477, 0.24890715176657402, 0.2490434826217631, 0.24918632125618828, 0.24933596553125273, 0.24949273379182862, 0.24965696651628833, 0.24982902813837868, 0.25000930906212343, 0.25019822789403878, 0.25039623392055954, 0.25060380986283382, 0.25082147494601387, 0.2510497883260821, 0.25128935292418098, 0.25154081972672182, 0.25180489261936784, 0.25208233383476225, 0.2523739701080186, 0.25268069965098033, 0.25300350007687, 0.25334343743191073, 0.25370167652101455, 0.254079492751977, 0.25447828576859055, 0.25489959519998234, 0.25534511892421202, 0.25581673433257346, 0.25631652319218184, 0.25684680084501282, 0.25741015066036044, 0.25800946488670495, 0.25864799334430805, 0.25932940178330671, 0.26005784223401762, 0.26083803833812835, 0.26167538953033131, 0.26257609912239505, 0.26354733294446342, 0.26459741739323961, 0.2657360887751834, 0.26697481008896518, 0.26832717742799828, 0.26980944686218167, 0.27144122531699499, 0.2732463877264425, 0.27525431101179626, 0.27750155885940497, 0.28003421931989897, 0.28291120630191646, 0.28620901513833197, 0.29002872467566049, 0.29450656414946552, 0.29983030924822518, 0.3062655402496216, 0.31419924597322885, 0.32421532851640772, 0.33723188577242602, 0.3547655376130035, 0.37947593911134658, 0.41637989153020005, 0.47581001576337217, 0.58122545846656193, 0.78883001979285028, 1.181635344212548, 1.3277635403612598, 0.76452882969308211, 0.43795096707628239, 0.3196379835102251, 0.273885017218509, 0.25457341251940152, 0.24617958636031495, 0.2427909467994, 0.24188236102646049, 0.24227167450585821, 0.2433636665945578, 0.24484036068960202, 0.24652300732101123, 0.24830616980695949, 0.25012440477092107, 0.25193462099861486, 0.25370639276943757, 0.25541650351518697, 0.25704583815102439, 0.25857763331012873, 0.2599965432333457, 0.2612882122744063, 0.26243916915187421, 0.26343692524539075, 0.26427019602255669, 0.26492918533285492, 0.26540588475610816, 0.26569434899682176, 0.26579091606246286, 0.26569434899682259, 0.26540588475610971, 0.26492918533285492, 0.26427019602255614, 0.26343692524539164, 0.26243916915187271, 0.26128821227440663, 0.25999654323334592, 0.25857763331013056, 0.25704583815102539, 0.25541650351518624, 0.25370639276943524, 0.2519346209986153, 0.25012440477092079, 0.24830616980696027, 0.24652300732101246, 0.24484036068960094, 0.24336366659455588, 0.2422716745058604, 0.2418823610264606, 0.24279094679939861, 0.24617958636031348, 0.25457341251940441, 0.27388501721852904, 0.31963798351026396, 0.43795096707642922, 0.76452882969272096, 1.3277635403616197, 1.1816353442124015, 0.78883001979292611, 0.58122545846643614, 0.47581001576338394, 0.41637989153023758, 0.37947593911133637, 0.35476553761301011, 0.33723188577243224, 0.32421532851640594, 0.31419924597323223, 0.30626554024962122, 0.29983030924822957, 0.29450656414946708, 0.2900287246756596, 0.28620901513833275, 0.28291120630191574, 0.28003421931989775, 0.27750155885940392, 0.27525431101179743, 0.27324638772644355, 0.27144122531699566, 0.26980944686218339, 0.26832717742799855, 0.26697481008896312, 0.2657360887751824, 0.26459741739324094, 0.26354733294446347, 0.26257609912239427, 0.26167538953033137, 0.26083803833812791, 0.26005784223401651, 0.25932940178330577, 0.25864799334430694, 0.25800946488670512, 0.25741015066036044, 0.25684680084501338, 0.25631652319218168, 0.25581673433257379, 0.25534511892421197, 0.25489959519998173, 0.25447828576858988, 0.25407949275197772, 0.25370167652101439, 0.25334343743191035, 0.25300350007687039, 0.252680699650981, 0.25237397010801932, 0.25208233383476214, 0.25180489261936762, 0.25154081972672176, 0.2512893529241802, 0.25104978832608216, 0.25082147494601459, 0.25060380986283343, 0.25039623392055899, 0.25019822789403851, 0.25000930906212365, 0.24982902813837896, 0.24965696651628852, 0.24949273379182835, 0.24933596553125209, 0.2491863212561882, 0.24904348262176315, 0.24890715176657394, 0.24877704981596419, 0.24865291552239027, 0.24853450402858349, 0.24842158574096748, 0.24831394530223674, 0.24821138065331119, 0.2481137021759717, 0.24802073190850923, 0.24793230282751197, 0.24784825818972578, 0.24776845092855104, 0.24769274310031866, 0.24762100537601783, 0.24755311657460127, 0.24748896323437941, 0.24742843921938409, 0.2473714453579223, 0.24731788911077005, 0.24726768426677437, 0.24722075066382121, 0.24717701393333746, 0.24713640526668404, 0.24709886120197544, 0.24706432342999202, 0.24703273861799396, 0.24700405825038554, 0.24697823848528205, 0.24695524002612543, 0.24693502800762238, 0.24691757189533578, 0.24690284539836482, 0.24689082639463136, 0.2468814968683341, 0.24687484285924455, 0.24687085442355644, 0.24686952560606687, 0.24687018995532536, 0.24687218328053301, 0.24687550641418096, 0.24688016074437988, 0.24688614821580709, 0.24689347133103196, 0.24690213315221188, 0.24691213730318048, 0.24692348797191607, 0.24693618991339006, 0.24695024845280988, 0.24696566948924659, 0.24698245949966402, 0.24700062554333252, 0.24702017526665507, 0.24704111690839273, 0.24706345930530077, 0.24708721189817767, 0.24711238473833977, 0.24713898849450644, 0.24716703446013807, 0.24719653456119425, 0.24722750136434135, 0.24725994808561741, 0.24729388859955051, 0.24732933744874985, 0.24736630985396529, 0.24740482172464892, 0.2474448896699957, 0.24748653101049842, 0.2475297637900222, 0.24757460678840487, 0.24762107953459955, 0.24766920232036885, 0.24771899621455909, 0.24777048307794272, 0.24782368557867415, 0.24787862720835019, 0.24793533229871448, 0.24799382603901271, 0.24805413449401234, 0.24811628462273733, 0.2481803042979015, 0.24824622232610244, 0.24831406846877499, 0.24838387346395552, 0.24845566904887478, 0.24852948798341623, 0.24860536407448081, 0.24868333220129402, 0.24876342834170692, 0.24884568959952624, 0.24893015423293893, 0.24901686168408008, 0.24910585260981138, 0.24919716891377575, 0.2492908537798128, 0.24938695170679903, 0.24948550854503249, 0.24958657153424146, 0.24969018934333986, 0.24979641211205564, 0.24990529149456073, 0.25001688070527484, 0.25013123456699032, 0.25024840956153249, 0.25036846388314393, 0.25049145749485213, 0.25061745218805798, 0.25074651164566225, 0.25087870150903985, 0.25101408944923287, 0.25115274524277426, 0.25129474085259312, 0.25144015051451302, 0.25158905082991162, 0.25174152086518969, 0.25189764225874783, 0.25205749933628718, 0.25222117923531701, 0.25238877203988691, 0.25256037092665795, 0.25273607232357098, 0.25291597608254995, 0.25310018566778858, 0.25328880836143836, 0.25348195548866315, 0.25367974266432408, 0.25388229006378676, 0.25408972272070379, 0.25430217085491735, 0.25451977023406669, 0.25474266257290251, 0.25497099597481065, 0.25520492542063666, 0.25544461331048368, 0.25569023006496483, 0.25594195479311654, 0.25619997603515832, 0.25646449258934356, 0.25673571443328408, 0.25701386375156821, 0.25729917608296687, 0.25759190160235385, 0.25789230655444906, 0.25820067485883486, 0.25851730990837102, 0.25884253658617135, 0.2591767035298792, 0.25952018567606139, 0.25987338712230795, 0.26023674435011307, 0.26061072985812139, 0.26099585626280897, 0.2613926809325649, 0.2618018112315334, 0.26222391046191751, 0.26265970460803734, 0.26310999000282143, 0.26357564205817668, 0.2640576252255466, 0.26455700438300922, 0.26507495788140134, 0.26561279252603337, 0.2661719608241187, 0.26675408089379804, 0.26736095951137478, 0.26799461887342679, 0.2700804273801089, 0.27250845828819548, 0.27539432727334212, 0.27891210197069083, 0.2833333068770808, 0.28910059376606589, 0.29697730399243999, 0.30837960059740044, 0.32620324070225093, 0.3572134992263144, 0.42047779776038119, 0.58513171948001697, 1.072741211311786, 0.74426281368743563, 0.3347733483849441, 0.25482386656957562, 0.23463683161960158, 0.22855252744678764, 0.22672844801354172, 0.22636811478099145, 0.22652394440541737, 0.22683927783558, 0.22717321602274865, 0.22747092091433116, 0.22771372912837018, 0.22789842731571353, 0.22802817149577007, 0.22810838245906273, 0.22814487893590754, 0.2281430536285437, 0.22810754489794732, 0.22804214396940445, 0.2279498106344621, 0.22783273446960495, 0.22769241031431667, 0.22752971280027012, 0.22734496294415879, 0.22713798403659183, 0.22690814620637081, 0.22665440011536153, 0.22637530078611406, 0.22606902289701944, 0.22573336920905809, 0.22536577429834925, 0.22496330667769127, 0.22452267402176723, 0.2240402391008289, 0.22351205911483463, 0.2229339700975955, 0.22230175406508906, 0.22161145557700768, 0.22085996803271177, 0.22004611190510931, 0.21917262662691789, 0.21824990289420559, 0.21730313997318745, 0.21638652162442482, 0.21561250877335275, 0.21521574352730238, 0.21570241988816827, 0.21823159320390789, 0.22570573833719526, 0.24638514976848933, 0.30828023719297687, 0.52478760303265615, 1.1359493869509252, 1.0343297959264957, 0.63997736760818014, 0.47084153229579823, 0.39304167907465687, 0.35110317022073301, 0.32562093375347773, 0.30873768512882022, 0.29680781082967361, 0.28794899703082788, 0.28110494959972443, 0.27564246208652693, 0.27116112336003084, 0.26739630677733855, 0.26416649865647773, 0.26134315616197012, 0.25883267457285947, 0.25656518419260094, 0.25448736509059933, 0.25255771848483072, 0.25074339928426537, 0.24901808679851145, 0.2473605926204126, 0.24575405159836475, 0.24418565961172603, 0.24264704813069848, 0.24113556712074372, 0.23965706669203238, 0.23823139535401125, 0.23690316275831036, 0.23576332054812432, 0.2349943816687306, 0.23497108604110956, 0.2365027606030749, 0.24147837615927684, 0.25481925757020502, 0.29143260077017991, 0.40553578194233963, 0.78802702695497895, 1.144856189747288, 0.74756769259377431, 0.51536054933815156, 0.41474162792023117, 0.36407911553291139, 0.33483954498085255, 0.31619947676869326, 0.30342530583255328, 0.2941878654707572, 0.28723072053925136, 0.28182552283305701, 0.27752524977551124, 0.27404268208211735, 0.27118631710685365, 0.26882459304055539, 0.26686493904299718, 0.26524100020568686, 0.26390457573616416, 0.26282038408758068, 0.2619625861026359, 0.26131244017345878, 0.2608567131297958, 0.26058661678254658, 0.26049712918180251, 0.26055675508638482, 0.2607363256198616, 0.2610379521067196, 0.26146526533862563, 0.26202359202130482, 0.26272022002586304, 0.26356477339566997, 0.26456972848787935, 0.26575111749724933, 0.26712948748762116, 0.26873121608957673, 0.27059033608985678, 0.27275110195104862, 0.27527166234553813, 0.27822942094492842, 0.28172904147676125, 0.28591471415073622, 0.29098951206758361, 0.29724697660420402, 0.30512467894461592, 0.31529917452032391, 0.32886325387011617, 0.34767729519794272, 0.37511570444419895, 0.41777912523618982, 0.48970938900527139, 0.62267657283420352, 0.87715659362580656, 1.1709772630074298, 0.9148313012676802, 0.52874832940713079, 0.35882612360497435, 0.29071475411231784, 0.26088405462943043, 0.24672289989835852, 0.23968311862606345, 0.23616850932969638, 0.23451552447159743, 0.2338930423080296, 0.23385952397268517, 0.23416863840911484, 0.23467750676943563, 0.23530067156096757, 0.23598579361927796, 0.23670025409893392, 0.23742349149051928, 0.23814247853015064, 0.23884897913485648, 0.23953784553971277, 0.24020593965688808, 0.24085143785819893, 0.2414733761441156, 0.24207134875637074, 0.24264530628864947, 0.24319541920022769, 0.24372198482224403, 0.2442253635635456, 0.24470593486397424, 0.2451640665657418, 0.24560009341518915, 0.24601430175821692, 0.24640691839636811, 0.24677810218092966, 0.24712793733835442, 0.24745642780634525, 0.2477634920589806, 0.24804895804046803, 0.24831255793115931, 0.24855392255219658, 0.24877257529000174, 0.24896792550244662, 0.24913926147093726, 0.24928574310912657, 0.24940639486210917, 0.24950009958115324, 0.24956559472093065, 0.24960147311487324, 0.24960619206774293, 0.24957809695172592, 0.24951546957885198, 0.24941661854534805, 0.24928004067122109, 0.24910470361665926, 0.24889053742752199, 0.24863929225994222, 0.24835605164684915, 0.24805195061410518, 0.24774918017799591, 0.24749050097180308, 0.24735807166256049, 0.24751262900061755, 0.24828028001478519, 0.25036049356130674, 0.25537705228159924, 0.26753929303812879, 0.29956701304569366, 0.39844910154234514, 0.75484829225135741, 1.2456854192611091, 0.81118111676675386, 0.54702563426013529, 0.43939025494515488, 0.387588855040498, 0.35880097767161345, 0.34115032553199826, 0.32960544293154431, 0.32175482449164255, 0.31633610447076144, 0.31265167745994193, 0.3103120566727528, 0.30911567292481207, 0.30899125353088341, 0.3099689526702144, 0.3121541163517686, 0.31565492934627798, 0.32033536850617234, 0.3251255087768995, 0.32689598833887756, 0.32123171126468381, 0.30824627290539697, 0.29426684962310062, 0.2839103596052221, 0.27745201447390666, 0.27366793239765141, 0.27149409428738469, 0.27027684786109213, 0.26966010431180648, 0.26947155624332075], [0.26222051657057993, 0.26230428418263135, 0.2625571806414444, 0.26298411145821105, 0.26359368343889084, 0.26439890851984005, 0.26541831658809195, 0.26667763828447821, 0.26821232495484176, 0.27007135175616426, 0.27232306453783139, 0.27506440822180789, 0.27843598123877411, 0.28264759204126755, 0.28802375850593581, 0.29508947332725649, 0.30474348367506987, 0.3186397119576232, 0.3401225198299766, 0.37685952678314694, 0.44965827105767142, 0.62708081936699211, 1.0612678131140083, 0.78194377165307494, 0.36597009245054396, 0.26953691405660918, 0.24415245494952817, 0.23677984429804783, 0.23512563890482557, 0.23555970902409515, 0.23681070912558899, 0.23838149070568571, 0.24006524476263155, 0.24177502513086901, 0.24347697324761911, 0.24516202786253469, 0.24683325187863289, 0.24849996644127162, 0.25017503568407645, 0.25187369384818881, 0.25361317802065131, 0.25541282393920817, 0.25729447235439468, 0.25928313329419111, 0.26140791613813358, 0.26370327964027857, 0.2662107024613164, 0.26898093272535739, 0.27207705716164576, 0.27557875430090628, 0.27958829043334033, 0.2842391299414147, 0.28970854826143044, 0.29623651011007041, 0.30415459411475476, 0.3139314542463475, 0.32624627801089984, 0.34211106670905711, 0.36308062478452313, 0.39162437350332241, 0.43180132214571026, 0.49049197663025546, 0.5795192248538783, 0.71825422362359537, 0.93017237530727681, 1.2009112639187849, 1.3671204052716117, 1.2343521904172303, 0.95241137367803497, 0.7229556564460039, 0.57717648075866312, 0.48959894962660383, 0.43762413020423291, 0.40796568844076919, 0.39370424574590157, 0.39188721701099372, 0.40249565427106826, 0.42860687846301671, 0.47798560245533861, 0.56701347820450332, 0.72736107537009131, 1.0002550515567206, 1.3184807924963626, 1.3224988195722929, 1.0019152038180648, 0.71992326337131152, 0.55067522481192688, 0.45297138076569993, 0.39407833728049141, 0.3565525961835519, 0.3313916273798222, 0.31377329899807549, 0.30098121446921389, 0.29140802676077149, 0.28405952302756188, 0.27829630504308872, 0.27369293314169207, 0.26995779187983204, 0.26688571963674323, 0.26432902873282227, 0.26217922441746944, 0.26035515221449418, 0.25879512169439917, 0.25745155537933001, 0.25628727970584941, 0.25527290705945849, 0.25438495714736303, 0.25360448843370459, 0.25291608729809478, 0.25230711190289146, 0.2517671199720265, 0.25128743109291979, 0.25086078860805788, 0.25048109606836133, 0.25014321010271351, 0.24984277640180957, 0.24957609896505265, 0.24934003524544429, 0.24913191163832982, 0.24894945509251457, 0.2487907376128406, 0.24865413116690296, 0.24853827107229973, 0.24844202637259782, 0.24836447604467912, 0.24830489014251414, 0.24826271519139129, 0.2482375633162173, 0.24822920472837356, 0.24823057867643677, 0.24823470258569205, 0.24824158265716367, 0.24825122924533649, 0.24826365688744775, 0.24827888434470874, 0.24829693465570568, 0.24831783520226319, 0.24834161778814753, 0.24836831873105364, 0.24839797896840027, 0.24843064417753408, 0.24846636491106233, 0.24850519674806762, 0.2485472004621587, 0.2485924422073135, 0.24864099372269075, 0.24869293255765279, 0.24874834231843318, 0.24880731293802008, 0.24886994097100881, 0.24893632991540601, 0.24900659056353486, 0.24908084138448672, 0.24915920894081833, 0.24924182834249692, 0.24932884374145176, 0.24942040887047406, 0.24951668763064699, 0.24961785473197129, 0.24972409639242568, 0.24983561110132041, 0.24995261045352882, 0.25007532006200101, 0.25020398055688736, 0.25033884868069162, 0.25048019849006931, 0.25062832267632401, 0.25078353401824555, 0.25094616698284733, 0.25111657949168964, 0.25129515487301401, 0.25148230402284366, 0.2516784678016224, 0.2518841196969609, 0.25209976878777357, 0.25232596305060428, 0.25256329305549957, 0.25281239610650269, 0.2530739608910908, 0.25334873271384772, 0.25363751940282808, 0.25394119799291776, 0.25426072230957447, 0.2545971315995082, 0.25495156038301126, 0.25532524973710646, 0.25571956026096709, 0.25613598702724272, 0.25657617688764722, 0.25704194858184531, 0.25753531619979581, 0.25805851667517832, 0.25861404214925976, 0.25920467825089877, 0.25983354960353933, 0.26050417421316791, 0.26122052883833258, 0.26198712803087854, 0.26280912031411652, 0.26369240600498239, 0.26464378258905902, 0.26567112546748051, 0.26678361452426752, 0.26799202062328964, 0.26930907130255777, 0.2707499222974255, 0.27233277218462587, 0.27407967310656783, 0.27601761394158814, 0.27817998788114667, 0.28060861156766542, 0.28335655036366053, 0.28649214605043577, 0.29010487903762444, 0.29431410080578463, 0.29928238570138299, 0.30523655796801918, 0.31250194202500964, 0.32156035896075885, 0.33315285431080871, 0.34847149222566887, 0.3695403233417901, 0.4000293716214855, 0.44714670758625263, 0.52644411344701691, 0.67461725353814306, 0.97314816715063945, 1.3869411578277857, 1.0893369475328853, 0.57837053038036523, 0.37238750611014454, 0.29623607107475558, 0.2652338085671978, 0.25177269849122857, 0.24597825013537419, 0.24385635833238398, 0.24361587720986647, 0.2443850835870193, 0.24571103114739726, 0.24734520774603627, 0.24914446342457849, 0.25102223956918657, 0.2529232820693319, 0.25480996695981273, 0.25665466307332468, 0.25843537809388345, 0.2601332677641966, 0.26173124675297693, 0.26321327721393223, 0.26456408882688859, 0.26576917938201439, 0.2668149964218024, 0.26768922834560582, 0.2683811488290907, 0.26888196780346474, 0.26918514934119397, 0.26928666377684179, 0.26918514934119503, 0.26888196780346652, 0.2683811488290907, 0.26768922834560527, 0.2668149964218034, 0.26576917938201278, 0.26456408882688898, 0.26321327721393262, 0.26173124675297871, 0.2601332677641976, 0.25843537809388256, 0.25665466307332224, 0.25480996695981328, 0.25292328206933179, 0.25102223956918734, 0.24914446342457966, 0.247345207746035, 0.24571103114739515, 0.24438508358702166, 0.24361587720986691, 0.24385635833238287, 0.24597825013537319, 0.25177269849123063, 0.26523380856721129, 0.29623607107478162, 0.37238750611023519, 0.57837053038013431, 1.0893369475336199, 1.3869411578276689, 0.97314816715073715, 0.67461725353796331, 0.52644411344703457, 0.44714670758630159, 0.40002937162147251, 0.36954032334179854, 0.34847149222567642, 0.33315285431080682, 0.32156035896076302, 0.31250194202500919, 0.30523655796802401, 0.29928238570138432, 0.2943141008057838, 0.29010487903762511, 0.28649214605043483, 0.28335655036365931, 0.2806086115676642, 0.27817998788114801, 0.27601761394158936, 0.27407967310656872, 0.27233277218462765, 0.27074992229742578, 0.2693090713025556, 0.26799202062328864, 0.26678361452426885, 0.26567112546748067, 0.2646437825890583, 0.26369240600498256, 0.26280912031411596, 0.26198712803087743, 0.26122052883833152, 0.26050417421316685, 0.25983354960353944, 0.25920467825089871, 0.25861404214926054, 0.2580585166751781, 0.25753531619979625, 0.25704194858184526, 0.25657617688764661, 0.25613598702724211, 0.2557195602609677, 0.2553252497371063, 0.25495156038301076, 0.25459713159950859, 0.25426072230957508, 0.25394119799291859, 0.25363751940282792, 0.25334873271384761, 0.25307396089109074, 0.25281239610650191, 0.25256329305549963, 0.25232596305060495, 0.25209976878777313, 0.2518841196969604, 0.25167846780162217, 0.25148230402284388, 0.25129515487301435, 0.25111657949168986, 0.25094616698284705, 0.25078353401824482, 0.25062832267632396, 0.25048019849006936, 0.25033884868069145, 0.25020398055688697, 0.25007532006200078, 0.24995261045352926, 0.24983561110132052, 0.24972409639242507, 0.24961785473197107, 0.24951668763064613, 0.2494204088704737, 0.24932884374145203, 0.24924182834249697, 0.24915920894081792, 0.24908084138448661, 0.24900659056353436, 0.24893632991540582, 0.24886994097100951, 0.24880731293801978, 0.24874834231843387, 0.24869293255765332, 0.24864099372269088, 0.24859244220731333, 0.24854720046215906, 0.24850519674806859, 0.24846636491106208, 0.2484306441775348, 0.24839797896840016, 0.24836831873105372, 0.2483416177881477, 0.24831783520226303, 0.24829693465570554, 0.24827888434470896, 0.24826365688744734, 0.24825122924533677, 0.24824158265716398, 0.2482347025856925, 0.24823057867643691, 0.24822920472837259, 0.24822989164049711, 0.24823195266615067, 0.24823538867338077, 0.24824020110960182, 0.24824639200260828, 0.2482539639619914, 0.2482629201809535, 0.24827326443854073, 0.24828500110228477, 0.24829813513124863, 0.24831267207949881, 0.24832861809998674, 0.24834597994886307, 0.24836476499020407, 0.24838498120118191, 0.2484066371776632, 0.24842974214025196, 0.24845430594077461, 0.2484803390692272, 0.24850785266116468, 0.24853685850557963, 0.24856736905323676, 0.24859939742549519, 0.24863295742362665, 0.2486680635386273, 0.24870473096154438, 0.24874297559431585, 0.24878281406115471, 0.2488242637204641, 0.24886734267731103, 0.24891206979647479, 0.248958464716073, 0.24900654786178739, 0.24905634046169944, 0.24910786456176728, 0.24916114304193712, 0.24921619963293457, 0.24927305893373303, 0.24933174642974104, 0.24939228851172007, 0.24945471249544995, 0.24951904664219804, 0.2495853201799792, 0.24965356332567645, 0.24972380730802357, 0.24979608439151019, 0.2498704279012321, 0.24994687224873013, 0.25002545295886941, 0.25010620669779793, 0.25018917130205115, 0.25027438580884243, 0.25036189048761731, 0.25045172687293177, 0.25054393779873435, 0.25063856743412805, 0.25073566132071773, 0.25083526641161241, 0.25093743111223105, 0.2510422053229992, 0.25114964048408683, 0.25125978962233197, 0.25137270740050371, 0.25148845016910326, 0.2516070760208784, 0.25172864484829832, 0.25185321840421004, 0.25198086036597572, 0.25211163640336748, 0.25224561425058534, 0.2523828637827546, 0.25252345709733354, 0.25266746860089945, 0.2528149751018362, 0.25296605590950355, 0.25312079294054568, 0.25327927083307183, 0.2534415770695117, 0.25360780210907463, 0.25377803953081884, 0.25395238618848609, 0.25413094237837375, 0.25431381202167208, 0.25450110286289751, 0.25469292668618482, 0.25488939955149814, 0.25509064205299109, 0.25529677960208574, 0.2555079427380994, 0.25572426746965116, 0.25594589565042442, 0.25617297539335121, 0.25640566152776467, 0.25664411610464022, 0.25688850895571008, 0.25713901831291525, 0.25739583149557171, 0.25765914567347326, 0.25792916871527738, 0.25820612013273886, 0.2584902321326803, 0.25878175079025073, 0.25908093735873738, 0.25938806973333445, 0.25970344408858503, 0.26002737671196274, 0.2603602060591938, 0.2607022950605119, 0.26105403371125624, 0.26141584198506645, 0.26178817311359853, 0.26217151728324384, 0.26256640580711454, 0.26297341583956557, 0.26339317571124138, 0.26382637097521933, 0.26427375126980107, 0.26473613812129509, 0.26521443383139842, 0.26570963161928923, 0.26622282721920332, 0.26675523217143965, 0.26730818908967269, 0.2678831892424528, 0.26848189285393187, 0.26910615261164572, 0.26975804097136352, 0.27043988197617419, 0.27269296307440993, 0.27533268880405809, 0.27849406505867375, 0.28238253152206549, 0.28732290322045412, 0.29385391115999498, 0.30292550026492648, 0.31635241429233552, 0.33799504544273123, 0.37738217806269986, 0.46352455212126492, 0.70971710255319476, 1.2097571974031083, 0.54204054393705459, 0.29821096287703519, 0.2474330884244452, 0.23351822505829969, 0.22920637895965715, 0.22796642051370819, 0.22780868142540811, 0.2280287064389894, 0.22835456695481909, 0.22867799387829957, 0.22895757375678386, 0.2291803728803383, 0.22934563337273278, 0.22945751588531926, 0.22952178908478765, 0.22954432286217055, 0.2295304321475298, 0.22948462790998464, 0.22941056180579808, 0.22931105914605357, 0.22918818759693332, 0.22904333544245831, 0.2288772867284487, 0.22869028756479109, 0.22848210145029998, 0.22825205331027679, 0.22799906284732468, 0.22772166826403228, 0.22741804169400398, 0.227085997960423, 0.22672299873247542, 0.22632615496370004, 0.22589223196026964, 0.22541766401476029, 0.2248985900749495, 0.22433092987092496, 0.22371053400350754, 0.22303346680085154, 0.2222965271524372, 0.22149819976049298, 0.2206403981415635, 0.21973169922531904, 0.21879347587567674, 0.21787187952193293, 0.21706220139798166, 0.2165609801901289, 0.21678487546002126, 0.2186650150269549, 0.22445669168506233, 0.24029171957880216, 0.28574645017901235, 0.43655437302727329, 0.94813403235300164, 1.2006125512360892, 0.7397046722281857, 0.51496146660684761, 0.41632119604617496, 0.36543492404631189, 0.33549234338613032, 0.31611526769079545, 0.30266548837222351, 0.29281726940125635, 0.28529518829321471, 0.27934866773760991, 0.27451020078883548, 0.27047470094250664, 0.26703514842197468, 0.26404630851919453, 0.26140329932434947, 0.25902841952046063, 0.25686277606644065, 0.25486081272264005, 0.25298665920893393, 0.25121167157793672, 0.24951279682905994, 0.2478715611075871, 0.2462736038969158, 0.24470879860369688, 0.24317215369090722, 0.24166594254067608, 0.24020399272688597, 0.23882006222599905, 0.23758442907763483, 0.23663799831905935, 0.23626634606615135, 0.23707235648607497, 0.24041729385768831, 0.24968808395559183, 0.27452883034897529, 0.34772535979818509, 0.59678406173103804, 1.1444410875643072, 0.90785901024304883, 0.58441566435743664, 0.4467553978622521, 0.38171075371146518, 0.34595054103041023, 0.32393503303472743, 0.30922783534692738, 0.29879463763505787, 0.29105206093724373, 0.28510585299605995, 0.28041848074771702, 0.27665035413091904, 0.27357816926077211, 0.27105026840249336, 0.26896095722293656, 0.26723507808837582, 0.26581840030603077, 0.26467144953437693, 0.26376544873773061, 0.26307960310160217, 0.26259927258600013, 0.26231475571331464, 0.26222051657057993, 0.26228330696807578, 0.2624724423315139, 0.26279025248902982, 0.26324074766361444, 0.26382981935984978, 0.26456554317687714, 0.26545860846121944, 0.26652291230399161, 0.26777637350175115, 0.26924204900773163, 0.27094967643755047, 0.27293783032146718, 0.27525698247044322, 0.2779739254666112, 0.28117830303408137, 0.28499248662590237, 0.28958692962352783, 0.29520479792114984, 0.30220292713986735, 0.31112280836366929, 0.32281967013044227, 0.33871070776144513, 0.36128454313859609, 0.3952275600634324, 0.4501175459276317, 0.54721904818527545, 0.73416165931118649, 1.0593189511353345, 1.1393720195590744, 0.69923509434931241, 0.42702865061372097, 0.31925138176350171, 0.27442593996915154, 0.25395952750127759, 0.24398945030877156, 0.23900355218187017, 0.23656943996279753, 0.2355167739854736, 0.23524211062261574, 0.2354166987922118, 0.2358534199230912, 0.23644200835870477, 0.23711569961754883, 0.2378332311829757, 0.23856873285650981, 0.23930585152272643, 0.24003423540291985, 0.24074737657479645, 0.24144125793643931, 0.24211348862461493, 0.2427627425804626, 0.24338838890914949, 0.24399024564742317, 0.24456841411394781, 0.24512316655071378, 0.24565486938635314, 0.2461639305177149, 0.24665076288982776, 0.24711575917682435, 0.2475592740256998, 0.24798161142888295, 0.24838301553381467, 0.24876366370131067, 0.24912366096900579, 0.24946303531397923, 0.24978173327472503, 0.25007961561092962, 0.25035645276713547, 0.25061191997660148, 0.25084559190583972, 0.2510569368101554, 0.25124531025977065, 0.25140994862410859, 0.25154996269656282, 0.25166433214780809, 0.25175190198302755, 0.25181138296310418, 0.25184135922462703, 0.25184030842526239, 0.25180664321314955, 0.25173878866229921, 0.25163532031035818, 0.2514952048535764, 0.25131821657704367, 0.25110565924611078, 0.25086162962249103, 0.25059526543094957, 0.25032483732827404, 0.250085422343853, 0.24994384264572664, 0.25002913582371528, 0.25059840980311932, 0.2521898672732763, 0.25601254181779931, 0.26506317569578797, 0.28785712908899719, 0.35353381955522445, 0.58231959253649468, 1.1966074986883866, 0.99698297188045781, 0.62633235976094381, 0.47730729360818142, 0.41023230828360591, 0.37491177398743669, 0.35422958771254204, 0.34134652903098112, 0.33315810157774606, 0.32814716766465785, 0.325582601007536, 0.32520183168527506, 0.32709835169796053, 0.33169831301102587, 0.33967665358908578, 0.35125552415209199, 0.36314831886758558, 0.36335927212288399, 0.3423725971096459, 0.3150395721111236, 0.29594878476229081, 0.28519770454522109, 0.27936193578175011, 0.27611647358543701, 0.2742423992535174, 0.27312487116430278, 0.27244850646418556, 0.27204763256082587, 0.27183508315398236, 0.27176846518739012], [0.26370676167106927, 0.26379498700698711, 0.26406141342901351, 0.26451143308718339, 0.26515452069978301, 0.26600503255670105, 0.26708347505019353, 0.26841843350090455, 0.27004948034551562, 0.27203160044863334, 0.2744420610295803, 0.27739137896508281, 0.28104145220365079, 0.28563682705191312, 0.29156141451395567, 0.29944783566502065, 0.31040453452743721, 0.32653329015660121, 0.35225543936878512, 0.39826286672420208, 0.49565485087799172, 0.75060352102997285, 1.1575084973494298, 0.58092909379350544, 0.31969642740235238, 0.25892392257583974, 0.24195187468272769, 0.23709653975521086, 0.23632288605422955, 0.23709243691256898, 0.23847473353013418, 0.24009517201346486, 0.24179565428216437, 0.24351004354774172, 0.245213851416375, 0.24690242295604675, 0.24858100557114385, 0.25026011740037818, 0.25195341999372484, 0.25367684457171502, 0.25544839315328449, 0.25728834655553506, 0.25921976521326162, 0.26126925326299955, 0.26346801154163818, 0.26585325179171737, 0.26847009573581421, 0.27137415070445747, 0.27463505298423874, 0.27834142335367962, 0.28260792342253288, 0.2875855006984025, 0.29347658019558698, 0.30055811409442429, 0.30921744367026655, 0.32000965160015282, 0.33375207866296192, 0.35168521246547152, 0.37575598636292251, 0.40913323105264365, 0.45716882075861315, 0.52918197361275432, 0.64143135982163224, 0.81939230699727705, 1.0818396679042084, 1.3455416455473748, 1.3460408925616905, 1.065307499123771, 0.7827965882045439, 0.59836811685096569, 0.48912678363434059, 0.42462001593191373, 0.38633148473688173, 0.36436261380599938, 0.353697766154841, 0.35220066425864588, 0.35982554470888878, 0.37871109002188047, 0.41429918064204851, 0.47829904599404049, 0.59525972639124003, 0.811695946832662, 1.1611661175573802, 1.4068960782486351, 1.1812154098595571, 0.83435737792268649, 0.61190382412054234, 0.48688593006445147, 0.41433364470556888, 0.36959964102778142, 0.34037977301906019, 0.32033442097874787, 0.30601325514444616, 0.29543265349605208, 0.28739456205767994, 0.281143559890915, 0.27618522695368952, 0.27218533438560827, 0.26891149259009861, 0.26619809005611622, 0.26392451649357046, 0.26200123222992344, 0.26036061920617143, 0.25895082892851773, 0.25773155693060384, 0.2566710842758228, 0.25574416983912657, 0.25493052475543926, 0.25421369216854023, 0.25358021365360539, 0.25301900138746214, 0.25252085999033608, 0.25207811861747847, 0.2516843452149421, 0.25133412268109712, 0.25102287215307373, 0.25074671251890457, 0.25050234803932969, 0.25028697798128785, 0.25009822364397072, 0.24993406925321901, 0.24979281401891232, 0.24967303326860379, 0.24957354704291598, 0.24949339490286979, 0.24943181598451206, 0.24938823356267389, 0.24936224356896228, 0.24935360666091816, 0.2493550262120611, 0.24935928701441035, 0.24936639552086012, 0.24937636250669537, 0.24938920310041776, 0.24940493682712886, 0.24942358766473549, 0.24944518411328009, 0.24946975927779838, 0.24949735096517525, 0.24952800179555995, 0.24956175932898148, 0.24959867620792694, 0.24963881031669638, 0.24968222495854075, 0.24972898905161256, 0.24977917734498281, 0.24983287065605245, 0.24989015613089066, 0.24995112752918353, 0.25001588553566634, 0.25008453810016779, 0.25015720080856518, 0.25023399728727941, 0.25031505964420092, 0.25040052894927711, 0.25049055575836915, 0.25058530068440216, 0.25068493502031858, 0.25078964141885302, 0.25089961463478733, 0.25101506233600718, 0.25113620599047781, 0.25126328183714425, 0.25139654194977779, 0.25153625540397412, 0.25168270955882455, 0.25183621146634894, 0.2519970894235305, 0.25216569468388755, 0.25234240334786129, 0.25252761845409366, 0.25272177229689741, 0.25292532899899306, 0.25313878737300882, 0.25336268411045548, 0.25359759734300741, 0.25384415062820564, 0.25410301742028563, 0.25437492609713647, 0.25466066562664885, 0.25496109197043532, 0.25527713534066387, 0.25560980844717479, 0.25596021589812812, 0.25632956494917186, 0.25671917783506776, 0.25713050596561049, 0.25756514632693539, 0.25802486050298495, 0.2585115968240051, 0.25902751626468279, 0.25957502286087186, 0.26015679960007659, 0.26077585097922013, 0.26143555373056693, 0.26213971761577942, 0.26289265871016393, 0.26369928828791089, 0.26456522133508331, 0.26549690994670466, 0.26650180853043082, 0.26758858002037389, 0.26876735546183689, 0.27005006374860874, 0.27145085456316437, 0.27298664657905747, 0.27467784612129637, 0.27654930093886565, 0.27863158306113645, 0.28096273970919172, 0.28359072171616584, 0.28657681179039945, 0.29000056021538589, 0.29396704798301215, 0.29861784027077148, 0.30414796900041785, 0.31083310480812193, 0.3190746277659916, 0.32947756512212328, 0.34299205802871352, 0.36118516784407356, 0.38679929484579678, 0.42499300825645819, 0.48635161104691899, 0.59479531382504214, 0.80743929524707758, 1.2117538630945337, 1.3922807849825451, 0.81491955265990657, 0.46106856456923906, 0.33134072686857474, 0.28094187998018932, 0.25953232497567208, 0.25011175725444751, 0.24620273995845945, 0.24503832715147689, 0.24532244423828212, 0.24640194429917167, 0.24792756569189495, 0.24970282316408282, 0.2516117963288676, 0.25358257586156879, 0.25556786031586071, 0.25753425568547694, 0.25945620564169863, 0.26131249638526732, 0.26308425539175018, 0.2647538548365746, 0.26630438625406683, 0.26771950901532793, 0.26898354823720083, 0.27008175678338731, 0.27100067667796229, 0.27172854634572347, 0.2722557068717219, 0.27257496612819088, 0.27268188601868237, 0.27257496612819188, 0.2722557068717239, 0.27172854634572352, 0.27100067667796168, 0.27008175678338836, 0.26898354823719922, 0.26771950901532809, 0.26630438625406705, 0.26475385483657643, 0.26308425539175118, 0.26131249638526638, 0.25945620564169619, 0.25753425568547744, 0.25556786031586054, 0.25358257586156968, 0.25161179632886893, 0.24970282316408166, 0.2479275656918927, 0.24640194429917409, 0.24532244423828287, 0.24503832715147583, 0.24620273995845909, 0.25011175725444873, 0.25953232497568196, 0.28094187998020681, 0.33134072686863364, 0.46106856456909384, 0.81491955266053795, 1.3922807849825936, 1.211753863094613, 0.80743929524681424, 0.59479531382506767, 0.48635161104698615, 0.42499300825644076, 0.386799294845807, 0.36118516784408283, 0.34299205802871124, 0.32947756512212778, 0.31907462776599094, 0.3108331048081272, 0.30414796900041963, 0.29861784027077065, 0.29396704798301287, 0.29000056021538484, 0.28657681179039801, 0.28359072171616456, 0.28096273970919333, 0.27863158306113761, 0.27654930093886659, 0.27467784612129831, 0.27298664657905769, 0.27145085456316209, 0.27005006374860763, 0.26876735546183828, 0.26758858002037411, 0.26650180853043032, 0.26549690994670461, 0.2645652213350827, 0.26369928828790973, 0.26289265871016293, 0.26213971761577826, 0.26143555373056704, 0.26077585097922001, 0.26015679960007732, 0.25957502286087175, 0.25902751626468329, 0.25851159682400504, 0.2580248605029844, 0.25756514632693478, 0.25713050596561121, 0.25671917783506765, 0.25632956494917153, 0.25596021589812856, 0.2556098084471754, 0.25527713534066471, 0.25496109197043532, 0.25466066562664869, 0.25437492609713636, 0.2541030174202849, 0.2538441506282057, 0.25359759734300802, 0.25336268411045504, 0.25313878737300827, 0.25292532899899273, 0.25272177229689752, 0.25252761845409383, 0.25234240334786145, 0.25216569468388716, 0.25199708942352977, 0.25183621146634899, 0.25168270955882477, 0.25153625540397395, 0.25139654194977729, 0.25126328183714408, 0.25113620599047815, 0.25101506233600746, 0.25089961463478666, 0.25078964141885279, 0.25068493502031769, 0.25058530068440188, 0.25049055575836915, 0.25040052894927733, 0.25031505964420048, 0.25023399728727913, 0.25015720080856474, 0.25008453810016745, 0.25001588553566712, 0.2499511275291833, 0.24989015613089149, 0.249832870656053, 0.24977917734498287, 0.24972898905161225, 0.24968222495854109, 0.24963881031669746, 0.24959867620792664, 0.24956175932898203, 0.24952800179555984, 0.24949735096517531, 0.24946975927779858, 0.24944518411327996, 0.24942358766473541, 0.24940493682712925, 0.24938920310041737, 0.24937636250669554, 0.24936639552086032, 0.24935928701441085, 0.24935502621206124, 0.24935360666091716, 0.24935431637210556, 0.24935644580714705, 0.2493599958706931, 0.24936496807121009, 0.2493713645220626, 0.24937918794302683, 0.24938844166223015, 0.24939912961853772, 0.24941125636437578, 0.24942482706898977, 0.24943984752215628, 0.24945632413833574, 0.24947426396128816, 0.24949367466913097, 0.24951456457987528, 0.24953694265741966, 0.24956081851802445, 0.24958620243726193, 0.24961310535746292, 0.24964153889564281, 0.24967151535195559, 0.24970304771864088, 0.24973614968949998, 0.24977083566990951, 0.24980712078737205, 0.24984502090262672, 0.24988455262131895, 0.24992573330626527, 0.24996858109029771, 0.25001311488972178, 0.25005935441840399, 0.25010732020249521, 0.25015703359581404, 0.25020851679590489, 0.25026179286080374, 0.25031688572650851, 0.25037382022520438, 0.25043262210424233, 0.25049331804592023, 0.2505559356880796, 0.25062050364554228, 0.25068705153244647, 0.2507556099854758, 0.25082621068805705, 0.25089888639553315, 0.25097367096138123, 0.25105059936450225, 0.25112970773763821, 0.25121103339697171, 0.25129461487296217, 0.25138049194248985, 0.25146870566236157, 0.25155929840426777, 0.25165231389126247, 0.25174779723585922, 0.25184579497983772, 0.25194635513587615, 0.2520495272311048, 0.25215536235273972, 0.2522639131959129, 0.25237523411386559, 0.25248938117067754, 0.25260641219671187, 0.25272638684700438, 0.25284936666280322, 0.2529754151365437, 0.25310459778051686, 0.25323698219957363, 0.25337263816818911, 0.25351163771230251, 0.25365405519634804, 0.25379996741596728, 0.25394945369694333, 0.25410259600095203, 0.25425947903879992, 0.25442019039189406, 0.25458482064278443, 0.25475346351569395, 0.25492621602809262, 0.2551031786544643, 0.25528445550357837, 0.25547015451071525, 0.25566038764646626, 0.25585527114396145, 0.25605492574653144, 0.25625947697813389, 0.25646905543908916, 0.25668379713003125, 0.25690384380729786, 0.25712934337342258, 0.25736045030679766, 0.25759732613512937, 0.25784013995785621, 0.25808906902335971, 0.2583442993675556, 0.25860602652123987, 0.25887445629460282, 0.25914980564831092, 0.25943230366184655, 0.25972219261120771, 0.26001972916960869, 0.26032518574675106, 0.26063885198423492, 0.26096103642718133, 0.26129206839484248, 0.26163230007621169, 0.26198210888033563, 0.26234190007528263, 0.26271210975471238, 0.26309320817676107, 0.26348570352671458, 0.26389014616279932, 0.26430713341375661, 0.26473731500773062, 0.26518139922495398, 0.26564015988199413, 0.26611444427356695, 0.26660518221968121, 0.26711339639197273, 0.26764021412452199, 0.26818688095237669, 0.26875477616717525, 0.26934543073533918, 0.26996054799320685, 0.27060202761803215, 0.27127199347846298, 0.27197282609798368, 0.2727072006272116, 0.27514374022105692, 0.27801788844147307, 0.28148776528991831, 0.28579678369593525, 0.29133547521435238, 0.29876381917784728, 0.30927421798059007, 0.32521925277923408, 0.35182826902665076, 0.40283024101503268, 0.52369764004326169, 0.89449065160565433, 1.0771591095307413, 0.42074121777854889, 0.27609210350819374, 0.24270215467824854, 0.2329453166842331, 0.2298869144417752, 0.22907284946375431, 0.22906206616190544, 0.22932483815545596, 0.22965251946649903, 0.2299618678374403, 0.23022194327846734, 0.23042431679884814, 0.23057015242783618, 0.23066437560133271, 0.23071299348758945, 0.23072187760436555, 0.23069624356413293, 0.23064046656300685, 0.23055805641694238, 0.23045170439587587, 0.23032335776545584, 0.23017430005354547, 0.23000522644995236, 0.22981630966470676, 0.22960725463276543, 0.22937734201162666, 0.22912546119075211, 0.22885013391520864, 0.22854952985725652, 0.22822147571167581, 0.22786345978914066, 0.2274726348101696, 0.22704582291589889, 0.22657952922951491, 0.22606997434571449, 0.22551316317805042, 0.22490501999288703, 0.22424164156789636, 0.22351976060227785, 0.22273758631784077, 0.22189633244976165, 0.22100302641322947, 0.22007577695754932, 0.21915393383894208, 0.21831842482234298, 0.21773444862106026, 0.21774666281559024, 0.21910824585121944, 0.22358857428247755, 0.23580155631528257, 0.26967254863071805, 0.37597074275733616, 0.75382883986335203, 1.3006574928055268, 0.87137785288475056, 0.57160282466846968, 0.44444712429972061, 0.3819108823927656, 0.346401938042318, 0.32401149233469423, 0.30876993824504945, 0.29777762256817342, 0.28948350249037003, 0.28299273816518689, 0.27775689691750305, 0.27342285255698828, 0.26975369853651587, 0.26658486070467702, 0.26379851791259529, 0.26130805974588694, 0.25904830275821999, 0.25696914616937322, 0.25503136062932985, 0.2532037526637344, 0.25146126074658537, 0.24978373082942135, 0.24815525211869408, 0.24656404877548979, 0.24500305750228124, 0.24347152692221247, 0.24197834947843702, 0.24054858961179362, 0.23923629346237474, 0.23815038730304192, 0.23750963036253428, 0.23776702778680431, 0.23991601616202754, 0.24632909911930712, 0.26339381122666644, 0.31135397644998264, 0.46726925308502826, 0.95871914906694577, 1.0947378751023544, 0.68185694941567165, 0.4887640998984063, 0.4032466287691564, 0.3587694700768409, 0.33245801359341176, 0.31538080507561345, 0.30352327154588155, 0.29486627664868181, 0.28830175164604716, 0.28317863675078453, 0.27909309950889427, 0.27578354131222083, 0.27307447877135149, 0.27084486228831839, 0.26900934963489936, 0.2675068002199158, 0.26629297405046465, 0.26533577768837263, 0.26461211170842946, 0.26410576409647318, 0.26380601639110851, 0.26370676167106927, 0.2637728922408939, 0.26397212735459746, 0.2643070396619725, 0.26478206167037688, 0.26540371486375641, 0.26618095606135145, 0.26712567071970034, 0.26825335813458678, 0.26958407565117831, 0.27114374222117921, 0.27296595286153574, 0.27509453651191457, 0.27758722098888616, 0.28052098716223323, 0.28400006883932033, 0.28816821734381215, 0.29322806479847041, 0.29947273955177173, 0.30733951966545786, 0.31750504880861335, 0.33106333435241597, 0.34987933829301032, 0.37734268043240726, 0.42010622234733208, 0.49241178603870733, 0.62692334621054846, 0.88845028331807607, 1.2029724017335368, 0.94015019314612291, 0.5372446636533148, 0.36281407851398123, 0.29364144496028016, 0.2635287363063285, 0.2492922005933367, 0.24224155761168589, 0.23873894191739736, 0.23710684464319376, 0.23650897318562339, 0.23650173115816919, 0.23683793026278122, 0.23737432825698915, 0.23802531778604807, 0.23873850575504624, 0.23948126389048965, 0.24023304262842995, 0.24098083748558341, 0.24171644122617073, 0.24243473892942666, 0.24313262855669693, 0.2438083255497755, 0.24446090810572335, 0.24509001603591696, 0.24569564919661635, 0.2462780313687804, 0.24683751766967868, 0.24737453120583805, 0.2478895195227836, 0.24838292453231295, 0.24885516164117957, 0.2493066051570853, 0.24973757795240287, 0.25014834397711938, 0.25053910262901452, 0.2509099842753037, 0.25126104641842756, 0.25159227013800234, 0.25190355654087682, 0.25219472302602114, 0.25246549923177519, 0.25271552258947638, 0.25294433346984374, 0.25315136998862309, 0.25333596265282587, 0.25349732920277152, 0.25363457027638758, 0.25374666695172421, 0.25383248191052854, 0.25389076707408736, 0.25392018236858133, 0.25391933325368132, 0.25388683961976871, 0.25382145709475329, 0.25372228637670496, 0.25358913192412313, 0.25342311780625637, 0.25322775482611298, 0.25301081844421941, 0.25278772569101865, 0.25258778000599286, 0.2524661328158907, 0.25252771523975653, 0.2529777691147711, 0.25423593708879999, 0.25721651673335788, 0.26409516046487813, 0.28072055320977712, 0.32569240029910634, 0.47172619903213425, 0.97633024873555363, 1.2065813542076802, 0.73817655785512859, 0.52715192461477667, 0.43840151901455521, 0.39451630789816095, 0.37028488956518651, 0.35628464730868548, 0.34855743307751663, 0.34544635107917299, 0.3465445107884661, 0.35240152290744708, 0.36443481623157004, 0.38377552612516685, 0.40399258330620735, 0.398285295499753, 0.35779212870188426, 0.32003936393760674, 0.2986831312090571, 0.28778445803803221, 0.28206065159359411, 0.27887141739076132, 0.27698601056539207, 0.27581369318252319, 0.27505637987271458, 0.27455609689678362, 0.27422570945395841, 0.27401600778621765, 0.2738994515082771, 0.27386203138324228], [0.2650300723744799, 0.26512303804982523, 0.26540386005898819, 0.26587847298820083, 0.26655732119249059, 0.26745626800435007, 0.26859804555899902, 0.27001447209944135, 0.27174981936601955, 0.27386598146381114, 0.27645058214714169, 0.27963007489611003, 0.28359171008117423, 0.2886220584209131, 0.29517830627348329, 0.30402909679457485, 0.31655599510830384, 0.33546698004795006, 0.366716132776226, 0.42558862475260351, 0.55989477642179686, 0.92314480696310386, 1.0365961439187599, 0.44922473072287311, 0.2913089067830128, 0.25212153530119635, 0.24071985799384271, 0.23764190480942077, 0.23751397223758813, 0.23853366315768562, 0.24001336541703103, 0.24166931425282953, 0.24338058457504691, 0.2450972672786807, 0.24680230792343591, 0.24849460858932462, 0.2501812278253589, 0.25187372834854699, 0.25358652639867624, 0.25533626777728941, 0.25714177645866121, 0.25902436817358698, 0.26100844744400031, 0.26312237955097917, 0.26539968093279764, 0.26788062022557046, 0.27061438033709462, 0.27366201271481871, 0.27710053626198278, 0.28102872360496084, 0.28557542500943878, 0.29091179095032382, 0.29726962506562254, 0.30496962572664427, 0.31446603131743051, 0.32641932224660253, 0.34181852401098967, 0.36219430591002238, 0.39000411014354353, 0.42935260696513627, 0.48736966672765097, 0.57678727802594976, 0.7198570784286199, 0.94733866153363733, 1.2500351229606619, 1.4189733285023263, 1.2150431521503327, 0.88185778449851593, 0.64458896876759075, 0.50525111914948539, 0.42474914469898245, 0.37719323609970601, 0.34876442507804756, 0.33231843805721423, 0.32425308483929471, 0.32302434264756036, 0.32857951738273417, 0.34241271036142512, 0.36832876870066711, 0.4145146984404508, 0.49853629835064167, 0.65806713341962164, 0.95738295780818305, 1.3519821245600254, 1.3580101700303524, 0.9826132077029186, 0.69136089247663635, 0.52902630402143713, 0.4384061867081176, 0.38451650940561016, 0.35032043435159438, 0.3273841986510469, 0.31128361939911214, 0.29955260162575237, 0.29073912402187591, 0.28394663529751613, 0.27859847409650235, 0.27431045836270485, 0.27081873671222911, 0.26793724078353554, 0.26553167937464056, 0.26350313189187374, 0.26177740268117261, 0.26029793798332013, 0.25902100614617291, 0.25791235087686465, 0.25694482444050271, 0.25609668585668166, 0.25535035861542094, 0.25469151123119133, 0.2541083680879046, 0.25359118688024007, 0.25313185815021322, 0.25272359539314354, 0.25236069311069181, 0.25203833638370093, 0.25175244990439005, 0.25149957752326974, 0.25127678561514472, 0.25108158520968338, 0.25091186904227464, 0.25076586058264355, 0.25064207277753275, 0.25053927476026022, 0.2504564651775163, 0.25039285109372195, 0.25034783167868258, 0.25032098608231274, 0.25031206506383585, 0.25031353110929622, 0.25031793148119119, 0.2503252728925156, 0.2503355665531225, 0.25034882820215709, 0.25036507815370773, 0.25038434135595244, 0.25040664746412816, 0.25043203092774596, 0.25046053109255856, 0.25049219231787551, 0.25052706410991044, 0.25056520127197335, 0.25060666407237631, 0.25065151843112587, 0.25069983612650426, 0.25075169502287381, 0.25080717932113006, 0.25086637983343629, 0.25092939428404609, 0.25099632763821567, 0.25106729246148707, 0.2511424093118087, 0.25122180716730885, 0.25130562389283073, 0.25139400674869616, 0.25148711294557685, 0.25158511024980729, 0.25168817764398688, 0.25179650604829029, 0.25191029910858337, 0.25202977405817212, 0.25215516266087795, 0.25228671224409871, 0.25242468683162583, 0.25256936838728117, 0.25272105818187662, 0.2528800782977168, 0.25304677328678649, 0.25322151200106513, 0.25340468961598644, 0.2535967298711454, 0.25379808755590633, 0.25400925127173801, 0.25423074650799182, 0.25446313907361345, 0.25470703893407093, 0.254963104510878, 0.25523204751064743, 0.25551463836210481, 0.25581171235317307, 0.2561241765767312, 0.2564530178135529, 0.25679931150502622, 0.25716423199761013, 0.25754906427681684, 0.25795521745256467, 0.25838424031205581, 0.25883783932369725, 0.25931789955954776, 0.25982650910902555, 0.26036598768925007, 0.26093892032560556, 0.26154819719083228, 0.26219706096670986, 0.26288916344919644, 0.26362863358290994, 0.26442015972153454, 0.2652690897196594, 0.26618155354207695, 0.26716461453376372, 0.26822645747809803, 0.26937662430188497, 0.27062631208701315, 0.27198875340347289, 0.27347970662087889, 0.27511809491564465, 0.27692684894018643, 0.27893403238683168, 0.28117436656653449, 0.2836913272912101, 0.28654007784650609, 0.28979164847387479, 0.29353901655099074, 0.29790615863427994, 0.30306188179468163, 0.30924158884678249, 0.31678269791551195, 0.32618455099371441, 0.33821438118645436, 0.35410481386978898, 0.37594531979999984, 0.4075163008800769, 0.45622110971100399, 0.53797258169738338, 0.69016683138229484, 0.99618958171400529, 1.4333562394446846, 1.1566002052811906, 0.61326983421953973, 0.388556755568436, 0.30498753382619204, 0.27079983776571936, 0.25582758494356772, 0.24927015865397839, 0.2467583065732516, 0.24633195659932094, 0.24703649165409158, 0.24837544145073037, 0.25007619630284383, 0.25198168318745745, 0.25399698942749144, 0.25606163547894173, 0.25813453062470038, 0.26018552314771182, 0.26219053904323703, 0.26412876043887273, 0.26598101548043451, 0.2677289211903629, 0.26935451576601732, 0.27084022110093753, 0.27216903201796289, 0.27332485780538496, 0.27429295630713146, 0.27506040817324018, 0.27561658335407768, 0.27595355631708335, 0.27606643243829676, 0.27595355631708457, 0.27561658335407974, 0.27506040817324023, 0.2742929563071308, 0.27332485780538618, 0.27216903201796133, 0.27084022110093786, 0.2693545157660176, 0.26772892119036473, 0.26598101548043546, 0.26412876043887173, 0.26219053904323453, 0.26018552314771254, 0.25813453062470015, 0.25606163547894256, 0.25399698942749277, 0.25198168318745628, 0.25007619630284134, 0.24837544145073284, 0.24703649165409267, 0.24633195659932011, 0.24675830657325154, 0.24927015865397922, 0.25582758494357499, 0.27079983776573141, 0.30498753382623012, 0.38855675556834746, 0.61326983421996883, 1.1566002052814055, 1.4333562394446766, 0.99618958171361605, 0.69016683138233081, 0.53797258169747231, 0.45622110971097968, 0.40751630088008961, 0.37594531980001172, 0.35410481386978654, 0.33821438118645963, 0.3261845509937138, 0.31678269791551766, 0.30924158884678427, 0.30306188179468074, 0.29790615863428072, 0.29353901655098963, 0.28979164847387334, 0.28654007784650481, 0.28369132729121166, 0.28117436656653583, 0.27893403238683262, 0.27692684894018854, 0.27511809491564493, 0.27347970662087656, 0.27198875340347178, 0.27062631208701471, 0.26937662430188503, 0.26822645747809726, 0.26716461453376378, 0.2661815535420764, 0.26526908971965824, 0.26442015972153349, 0.26362863358290883, 0.26288916344919666, 0.26219706096670975, 0.261548197190833, 0.26093892032560545, 0.26036598768925057, 0.25982650910902549, 0.25931789955954715, 0.25883783932369658, 0.25838424031205659, 0.25795521745256461, 0.25754906427681651, 0.25716423199761057, 0.25679931150502699, 0.25645301781355379, 0.25612417657673109, 0.25581171235317296, 0.2555146383621047, 0.25523204751064671, 0.25496310451087811, 0.25470703893407159, 0.25446313907361295, 0.25423074650799127, 0.25400925127173768, 0.25379808755590649, 0.25359672987114568, 0.25340468961598661, 0.25322151200106474, 0.25304677328678576, 0.25288007829771664, 0.25272105818187673, 0.252569368387281, 0.25242468683162522, 0.25228671224409854, 0.25215516266087834, 0.25202977405817234, 0.25191029910858259, 0.25179650604829007, 0.25168817764398599, 0.25158511024980701, 0.25148711294557713, 0.25139400674869622, 0.2513056238928304, 0.25122180716730863, 0.25114240931180831, 0.25106729246148685, 0.25099632763821644, 0.25092939428404587, 0.25086637983343707, 0.25080717932113045, 0.25075169502287409, 0.25069983612650404, 0.25065151843112621, 0.25060666407237731, 0.25056520127197313, 0.25052706410991099, 0.25049219231787528, 0.25046053109255867, 0.25043203092774602, 0.250406647464128, 0.25038434135595233, 0.2503650781537079, 0.25034882820215676, 0.25033556655312272, 0.25032527289251588, 0.25031793148119164, 0.25031353110929633, 0.25031206506383491, 0.25031279801962997, 0.25031499720114525, 0.25031866355100812, 0.25032379864102738, 0.25033040467334983, 0.25033848448207746, 0.25034804153534024, 0.25035907993784629, 0.25037160443389922, 0.25038562041088086, 0.2504011339032205, 0.25041815159683523, 0.25043668083406656, 0.25045672961909415, 0.25047830662385789, 0.25050142119447744, 0.25052608335818388, 0.25055230383076638, 0.25058009402455311, 0.25060946605690981, 0.25064043275930725, 0.25067300768692347, 0.25070720512881861, 0.25074304011869258, 0.25078052844622517, 0.25081968666902554, 0.25086053212519199, 0.25090308294651847, 0.2509473580723362, 0.25099337726402671, 0.25104116112022362, 0.25109073109271485, 0.25114210950306887, 0.25119531956000724, 0.25125038537755595, 0.25130733199397853, 0.25136618539154459, 0.25142697251713708, 0.25148972130375047, 0.25155446069290072, 0.25162122065797243, 0.25169003222857439, 0.25176092751589607, 0.2518339397391538, 0.25190910325313637, 0.25198645357692906, 0.25206602742385059, 0.25214786273266737, 0.25223199870015078, 0.25231847581504008, 0.25240733589349562, 0.25249862211610691, 0.25259237906655857, 0.25268865277203872, 0.25278749074550338, 0.25288894202989887, 0.2529930572444869, 0.25309988863337757, 0.25320949011645727, 0.2533219173428477, 0.25343722774708999, 0.2535554806082545, 0.25367673711218514, 0.25380106041714129, 0.25392851572308106, 0.25405917034490805, 0.25419309378998511, 0.25433035784030661, 0.2544710366397045, 0.25461520678656374, 0.25476294743252459, 0.25491434038773575, 0.25506947023327403, 0.25522842444141514, 0.25539129350451795, 0.25555817107337508, 0.25572915410598784, 0.25590434302781001, 0.25608384190466316, 0.25626775862963092, 0.25645620512542716, 0.25664929756388477, 0.25684715660441015, 0.25704990765350733, 0.25725768114765629, 0.25747061286219158, 0.25768884424907618, 0.25791252280687316, 0.25814180248658297, 0.25837684413751077, 0.25861781599779987, 0.25886489423488768, 0.25911826354178102, 0.25937811779579856, 0.25964466078729659, 0.25991810702680884, 0.26019868264021667, 0.26048662636271913, 0.2607821906438611, 0.26108564287750868, 0.26139726677247288, 0.26171736388170402, 0.26204625531034531, 0.26238428362584365, 0.26273181499651282, 0.26308924158874736, 0.26345698425745423, 0.26383549556930558, 0.26422526320436085, 0.26462681378847797, 0.26504071721703176, 0.26546759153989419, 0.2659081084888742, 0.26636299974196359, 0.26683306403444396, 0.26731917524553195, 0.26782229161153559, 0.26834346624319738, 0.2688838591570572, 0.26944475106954152, 0.27002755924961913, 0.27063385578343857, 0.27126538867464928, 0.27192410629081526, 0.27261218577327351, 0.27333206616082228, 0.27408648714353157, 0.27487853457148936, 0.27751768431098245, 0.28065327425982289, 0.28447117015292966, 0.28926111255519138, 0.2954954157361252, 0.30398873310599095, 0.31625268512874932, 0.33537783934723436, 0.36857938652873418, 0.43615651911642495, 0.61145404726434938, 1.1311664118214109, 0.79899013066108948, 0.35093938574832056, 0.26227207352731174, 0.23967488940277362, 0.23274881201204597, 0.23059005879483185, 0.2300881263403361, 0.23018297097083015, 0.23047231107370503, 0.23079526762460656, 0.23108793986852114, 0.23132760156822552, 0.23150937569490385, 0.23163592999892074, 0.23171276706336894, 0.23174604827917791, 0.23174161003742089, 0.23170455396769671, 0.23163911500935697, 0.23154866116837897, 0.23143575150639165, 0.23130221523926556, 0.23114923341832949, 0.23097741433505939, 0.23078685884569164, 0.2305772144387972, 0.23034771820465327, 0.23009722952221165, 0.22982425360032926, 0.22952695720150837, 0.22920317808288659, 0.22885043004075376, 0.22846590609633843, 0.22804648353978368, 0.22758873662621773, 0.22708896632687947, 0.22654326279791534, 0.22594762716093708, 0.22529819853339236, 0.2245916671086855, 0.22382601836142571, 0.22300187522162196, 0.22212494321113588, 0.22121054689417144, 0.22029227036569424, 0.21943899807448408, 0.2187900557572976, 0.21863187795527608, 0.21957761171787146, 0.22302771877143415, 0.23249696732444713, 0.25805668348828309, 0.33419093202107436, 0.59916902598561128, 1.2554726143953969, 1.0386482080762212, 0.64610269033597501, 0.47931257661345489, 0.40131716050960831, 0.35875086559201858, 0.33267136890214216, 0.31529379685862297, 0.30296531208445554, 0.29378406851500211, 0.28667607136472262, 0.28099437911712921, 0.27632834603123285, 0.27240577253812442, 0.26903951278951099, 0.26609679484658294, 0.26348080385855344, 0.26111920755961798, 0.25895677864980665, 0.25695052836047239, 0.25506643838538762, 0.25327725569716053, 0.25156103957862713, 0.24990029803671743, 0.24828166729844339, 0.24669620973383241, 0.24514057622137514, 0.24361957372110588, 0.2421512524576048, 0.24077683202178674, 0.23958048413987199, 0.23873044902818263, 0.23856964774523817, 0.2398311571428709, 0.24420308652950037, 0.25600744087074667, 0.28805848534253919, 0.38619072435170065, 0.72629657550376436, 1.2139462830350063, 0.82065797725043055, 0.54601229331064804, 0.43047118430607556, 0.37403246883991648, 0.34214039717772027, 0.32210942705761442, 0.30853204594624506, 0.29879790529410194, 0.29151929379792063, 0.28590097734871867, 0.28145946767777791, 0.27788661258028857, 0.27497843890604962, 0.27259578968109044, 0.27064145366647596, 0.26904631795642603, 0.26776069075598724, 0.26674871176474235, 0.26598467931683778, 0.26545061475192328, 0.26513466072387271, 0.2650300723744799, 0.26509975474797809, 0.26530973374147637, 0.26566285333853273, 0.26616401863990424, 0.26682045777975616, 0.26764211905982133, 0.26864223883065946, 0.2698381342006172, 0.27125230186031957, 0.27291394554918019, 0.2748611189515055, 0.27714377358252446, 0.27982816998292087, 0.28300339553589166, 0.28679122847891503, 0.29136148161296499, 0.29695663171221443, 0.30393280628545605, 0.31283089139268538, 0.32450601102933324, 0.34037699979598646, 0.3629398824995293, 0.39690827423380065, 0.45196244831651222, 0.54979897809087375, 0.74013738294156783, 1.0799791146942415, 1.1750443624229348, 0.71350965732382599, 0.4319237745894407, 0.32208961526400604, 0.27677617969751728, 0.25618447962781726, 0.24618894031312114, 0.24120933180093601, 0.23879280034778103, 0.23776212732938262, 0.23751136411318904, 0.23771079869553732, 0.23817293499314549, 0.23878736132581133, 0.23948726228749739, 0.24023136461459205, 0.24099380498447229, 0.24175824555026026, 0.24251435456775366, 0.24325564765733018, 0.24397813449698819, 0.24467945436353589, 0.24535831496512023, 0.2460141231131181, 0.2466467388148007, 0.24725630995789813, 0.24784316030304737, 0.24840771312712223, 0.24895043892714719, 0.24947181947858799, 0.24997232306422054, 0.25045238734928693, 0.2509124074832324, 0.2513527277512887, 0.25177363560368499, 0.25217535723589879, 0.25255805413213911, 0.2529218201508574, 0.2532666788490549, 0.25359258082781294, 0.25389940094676544, 0.25418693530966457, 0.25445489797513959, 0.25470291740515522, 0.25493053273908756, 0.25513719008881547, 0.25532223921126085, 0.25548493116314647, 0.25562441793148866, 0.25573975564845181, 0.25582991398172811, 0.25589379587724337, 0.25593027441975513, 0.25593825786065633, 0.25591680106197612, 0.25586529392378787, 0.25578377887235432, 0.25567348793042483, 0.25553776044367177, 0.25538363598329256, 0.25522467821983769, 0.25508611783427848, 0.25501453785385619, 0.25509687972725686, 0.25549967278960239, 0.25655521797055658, 0.25896626058069844, 0.26434248141395655, 0.27679750256668356, 0.30855534263282886, 0.40395411998753222, 0.74590854372699233, 1.3257533550371068, 0.89686992764746787, 0.59502383984468288, 0.47473989258429383, 0.41950540452754465, 0.39139271175939044, 0.37730959119795199, 0.37248684732116238, 0.37586613920412554, 0.38884652947250425, 0.41394357376353119, 0.44445559252700634, 0.43818140604687317, 0.37987925025805025, 0.33057714392358722, 0.3050169317599562, 0.29252400264215067, 0.2860406142289178, 0.28239979503692958, 0.28020069238085915, 0.27878834987224183, 0.27783598682408478, 0.27717048591820553, 0.27669530196646497, 0.27635431472086092, 0.27611393295536635, 0.2759538252271474, 0.27586197060214462, 0.2758320149021371], [0.26632152245768642, 0.26641958829943024, 0.26671590684662982, 0.26721702254287849, 0.26793447242428747, 0.26888582398674621, 0.27009633785053544, 0.27160152622412981, 0.27345106825087756, 0.275714875676835, 0.2784927113020022, 0.28192993208466249, 0.2862442916568243, 0.29177379732403697, 0.2990672158844323, 0.30906764968131262, 0.32351860363018731, 0.34596601734913163, 0.38460333885815268, 0.46191457847642509, 0.65311396840575919, 1.1194373806059374, 0.7889963185376091, 0.37004214622576664, 0.27360953961366463, 0.2478629534531282, 0.24023502935586111, 0.23842959350224271, 0.23877888160000066, 0.23998582380935871, 0.24153796691568774, 0.24321946169423608, 0.2449379228534459, 0.24665615570642993, 0.24836303327360271, 0.25006035328067827, 0.25175670227986086, 0.25346458408351047, 0.25519915825912465, 0.25697782734707758, 0.25882031750012996, 0.26074909436740645, 0.26279006077071598, 0.26497354744941493, 0.267335658956176, 0.26992008932197648, 0.27278058926931809, 0.27598436359029566, 0.27961682596889131, 0.28378837548842673, 0.28864424784819032, 0.29437914967290185, 0.30125952019839947, 0.3096582926726924, 0.32011076575337166, 0.33340732129221995, 0.35075279173552854, 0.3740509898005232, 0.40643300843961427, 0.45327352298589174, 0.52417833050659213, 0.63665997805784014, 0.82053825784631973, 1.1048260615301548, 1.4010474715084751, 1.373243440528207, 1.0278375919058458, 0.72252764828609639, 0.53987392907768494, 0.43703501597682243, 0.37771738601087174, 0.34236496114090004, 0.32101667572918641, 0.30855351264891562, 0.30237959746309773, 0.30137087586013345, 0.30547629792913022, 0.31575150418698406, 0.33487804645489794, 0.36857558683328684, 0.42909083311110613, 0.54370177355662397, 0.77116295973774163, 1.1756123064573307, 1.4620586873491119, 1.1660684374713872, 0.79629881505673217, 0.58274186586369781, 0.467764433169372, 0.40203196430837917, 0.36163841779614064, 0.33521135885535436, 0.31701445529816269, 0.30395464414191886, 0.29425974203973965, 0.28685970135764721, 0.28107884864409155, 0.27647390375895237, 0.27274433843216428, 0.26968053373107537, 0.26713261709857877, 0.26499108281300787, 0.26317437314050884, 0.26162070512423496, 0.26028256206676575, 0.25912290087280432, 0.25811249007891274, 0.25722800869002538, 0.25645066675132683, 0.25576518996030162, 0.25515906235140851, 0.25462195462300691, 0.25414528781836587, 0.25372189693850311, 0.25334576920137897, 0.25301183867439297, 0.25271582392379205, 0.25245409881546604, 0.2522235891097987, 0.25202168931570612, 0.25184619560761939, 0.25169525160285178, 0.2515673045421869, 0.2514610699817682, 0.2513755035380425, 0.2513097785645903, 0.2512632689057635, 0.25123553608617016, 0.25122632047149795, 0.25122783469052268, 0.25123237967378065, 0.25123996240661522, 0.25125059455392501, 0.25126429249430338, 0.2512810773680943, 0.25130097513965977, 0.25132401667420734, 0.25135023782963045, 0.25137967956390078, 0.25141238805864524, 0.25144841485964137, 0.25148781703509604, 0.25153065735263525, 0.25157700447615061, 0.25162693318368151, 0.25168052460775653, 0.25173786649972124, 0.25179905351979853, 0.25186418755481299, 0.25193337806573013, 0.25200674246744659, 0.25208440654348563, 0.25216650489861431, 0.25225318145272413, 0.25234458997970072, 0.25244089469545783, 0.25254227089979842, 0.25264890567733111, 0.25276099866328178, 0.25287876288078642, 0.25300242565704162, 0.25313222962663146, 0.25326843383140796, 0.25341131492751534, 0.25356116851155669, 0.25371831057948824, 0.25388307913369867, 0.25405583595585118, 0.25423696856558237, 0.25442689238800198, 0.25462605315632308, 0.25483492957988424, 0.25505403631243112, 0.25528392726094212, 0.25552519928168427, 0.25577849631773486, 0.25604451404120532, 0.25632400507406261, 0.25661778487427084, 0.25692673838928654, 0.25725182759741844, 0.25759410007992334, 0.25795469879381594, 0.25833487324848359, 0.25873599232969946, 0.25915955906453964, 0.25960722768239725, 0.26008082340398625, 0.26058236548609659, 0.26111409417035653, 0.26167850233657103, 0.26227837285494304, 0.26291682287959922, 0.26359735664556833, 0.26432392874653804, 0.26510102041386813, 0.26593373203352277, 0.26682789609023821, 0.26779021600652547, 0.26882843807626722, 0.26995156606350146, 0.27117013131779832, 0.27249653585083444, 0.27394549232999316, 0.2755345943002554, 0.277285063583466, 0.27922274199864544, 0.28137942496349766, 0.28379468120487694, 0.2865183758696398, 0.28961423128116542, 0.29316495142198284, 0.29727975949699342, 0.30210575930375838, 0.30784553922518604, 0.31478531747212668, 0.32334158501656907, 0.33414167282374102, 0.34816979095818484, 0.36704713753114937, 0.393606120342052, 0.43316275838779228, 0.49659315533172127, 0.60838490639002596, 0.82688507205882988, 1.2444153728813234, 1.4590074302644955, 0.86701273947995028, 0.48479636565897494, 0.34307249280991964, 0.28776083607635738, 0.26411526970979876, 0.25358766428424712, 0.249107233472175, 0.24765245149101014, 0.24780703406775859, 0.24885659008369623, 0.2504187541050038, 0.25227830734558904, 0.25430833061441938, 0.25643023426755585, 0.25859248696070886, 0.26075883324312432, 0.26290156083616634, 0.26499757707231908, 0.26702611857076169, 0.2689674555665606, 0.27080223255320668, 0.27251123621137197, 0.27407546155943896, 0.27547638929594537, 0.27669640827767028, 0.27771932662763049, 0.27853091900577254, 0.27911945995423065, 0.27947619648841709, 0.27959571877819417, 0.27947619648841832, 0.27911945995423282, 0.27853091900577265, 0.27771932662762983, 0.27669640827767145, 0.27547638929594376, 0.27407546155943918, 0.27251123621137224, 0.27080223255320857, 0.2689674555665616, 0.26702611857076064, 0.26499757707231619, 0.26290156083616695, 0.26075883324312416, 0.2585924869607098, 0.25643023426755729, 0.2543083306144181, 0.25227830734558632, 0.25041875410500636, 0.24885659008369743, 0.24780703406775778, 0.24765245149101053, 0.24910723347217539, 0.25358766428425233, 0.26411526970980764, 0.28776083607638336, 0.34307249280985869, 0.48479636565924866, 0.86701273948017354, 1.4590074302643807, 1.2444153728808516, 0.82688507205889183, 0.60838490639015208, 0.49659315533169135, 0.4331627583878096, 0.39360612034206693, 0.36704713753114743, 0.34816979095819084, 0.33414167282374035, 0.32334158501657584, 0.31478531747212873, 0.30784553922518504, 0.30210575930375921, 0.2972797594969922, 0.29316495142198129, 0.28961423128116393, 0.28651837586964163, 0.2837946812048785, 0.28137942496349866, 0.27922274199864772, 0.27728506358346627, 0.2755345943002529, 0.27394549232999182, 0.27249653585083611, 0.27117013131779849, 0.26995156606350063, 0.26882843807626722, 0.26779021600652497, 0.26682789609023688, 0.26593373203352183, 0.26510102041386691, 0.26432392874653815, 0.26359735664556838, 0.26291682287959978, 0.26227837285494299, 0.26167850233657158, 0.26111409417035653, 0.26058236548609592, 0.26008082340398558, 0.25960722768239808, 0.25915955906453941, 0.25873599232969902, 0.25833487324848392, 0.25795469879381672, 0.25759410007992417, 0.25725182759741821, 0.25692673838928637, 0.25661778487427089, 0.25632400507406183, 0.25604451404120543, 0.25577849631773553, 0.25552519928168377, 0.25528392726094151, 0.25505403631243084, 0.25483492957988435, 0.25462605315632347, 0.25442689238800226, 0.25423696856558209, 0.25405583595585035, 0.25388307913369862, 0.25371831057948835, 0.25356116851155658, 0.25341131492751479, 0.25326843383140779, 0.2531322296266319, 0.25300242565704184, 0.2528787628807857, 0.25276099866328144, 0.25264890567733034, 0.2525422708997983, 0.25244089469545805, 0.25234458997970083, 0.25225318145272374, 0.25216650489861409, 0.25208440654348524, 0.25200674246744637, 0.25193337806573091, 0.25186418755481266, 0.25179905351979925, 0.25173786649972174, 0.25168052460775669, 0.25162693318368129, 0.25157700447615117, 0.25153065735263636, 0.25148781703509576, 0.25144841485964198, 0.25141238805864508, 0.25137967956390084, 0.25135023782963067, 0.25132401667420717, 0.2513009751396596, 0.25128107736809463, 0.25126429249430293, 0.25125059455392523, 0.25123996240661556, 0.25123237967378126, 0.25122783469052268, 0.2512263204714969, 0.25122707751140688, 0.25122934895857357, 0.25123313579556023, 0.25123843966078835, 0.25124526284977305, 0.25125360831685184, 0.25126347967740009, 0.25127488121055658, 0.25128781786245014, 0.25130229524992387, 0.25131831966477913, 0.25133589807852702, 0.25135503814766919, 0.25137574821949266, 0.25139803733840982, 0.25142191525283264, 0.25144739242259878, 0.25147448002695116, 0.25150318997309429, 0.25153353490530889, 0.25156552821468087, 0.25159918404940929, 0.2516345173257335, 0.25167154373949274, 0.25171027977831872, 0.25175074273449033, 0.25179295071845226, 0.25183692267303992, 0.25188267838839834, 0.25193023851763385, 0.25197962459322298, 0.25203085904418754, 0.25208396521406828, 0.2521389673797188, 0.25219589077095905, 0.25225476159109439, 0.25231560703835754, 0.25237845532828312, 0.25244333571707128, 0.25251027852596664, 0.2525793151666843, 0.25265047816795955, 0.25272380120322396, 0.25279931911949832, 0.25287706796752502, 0.25295708503322678, 0.25303940887053133, 0.25312407933564335, 0.25321113762283282, 0.25330062630182021, 0.25339258935685183, 0.25348707222754407, 0.25358412185161683, 0.25368378670961406, 0.2537861168717418, 0.25389116404694856, 0.25399898163440832, 0.25410962477753668, 0.25422315042075133, 0.25433961736913763, 0.25445908635124476, 0.25458162008524138, 0.25470728334867782, 0.25483614305215258, 0.25496826831716957, 0.25510373055855318, 0.25524260357177531, 0.25538496362563906, 0.25553088956075537, 0.25568046289435425, 0.25583376793198243, 0.25599089188672813, 0.2561519250066831, 0.25631696071141996, 0.25648609573835907, 0.25665943029999783, 0.25683706825309538, 0.25701911728100274, 0.25720568909051239, 0.2573968996247144, 0.25759286929356223, 0.25779372322402283, 0.25799959153191626, 0.25821060961783088, 0.25842691848972477, 0.25864866511522044, 0.25887600280688899, 0.25910909164428908, 0.25934809893693689, 0.25959319973295569, 0.25984457737869265, 0.26010242413530271, 0.26036694185903525, 0.26063834275282283, 0.26091685019777278, 0.26120269967422238, 0.26149613978338265, 0.26179743338194184, 0.26210685884372453, 0.26242471146440438, 0.26275130502738414, 0.26308697355155242, 0.2634320732444147, 0.26378698468750245, 0.2641521152847548, 0.26452790200905202, 0.26491481448727217, 0.26531335847023862, 0.26572407974101681, 0.26614756852325772, 0.26658446446100986, 0.26703546225280989, 0.26750131803645577, 0.2679828566368409, 0.26848097980836749, 0.26899667562623913, 0.26953102920830607, 0.27008523498206544, 0.27066061075120651, 0.2712586138644193, 0.27188085984801624, 0.27252914393609301, 0.27320546602049711, 0.27391205965257986, 0.27465142586472752, 0.27542637274969123, 0.27624006194896444, 0.27709606347087412, 0.27996121947839125, 0.28339131110569782, 0.28760581382528094, 0.29295155773965642, 0.30000379040934932, 0.3097770815121933, 0.32420999096426584, 0.34742578561373755, 0.38959457583473345, 0.48162292287393815, 0.74386258232102687, 1.2860410867965109, 0.57861168146701514, 0.30996409621095727, 0.25349144643361865, 0.23784101023289964, 0.23288548861553801, 0.2313802459363006, 0.23110768998148953, 0.23127734740488637, 0.23158112025861741, 0.23189452878740863, 0.23216872451327958, 0.23238745584461237, 0.23254865637472583, 0.23265617193864965, 0.23271593806983196, 0.23273420791530702, 0.23271675767757713, 0.23266856699509486, 0.23259373005208478, 0.23249547554078709, 0.23237623368391677, 0.2322377189237807, 0.2320810126102868, 0.23190663826857799, 0.23171462636905049, 0.23150456778618569, 0.23127565628230945, 0.23102672091257501, 0.23075624951548479, 0.23046240461078935, 0.23014303320183943, 0.22979567228904088, 0.22941755248374288, 0.22900560317082136, 0.22855646453123218, 0.2280665149607489, 0.22753192798441715, 0.2269487824182885, 0.22631326648227179, 0.2256220468632878, 0.22487292906181153, 0.22406603908997968, 0.22320595709567193, 0.22230563506102288, 0.2213937689385557, 0.22052913170984226, 0.21982963058210847, 0.21953440655434336, 0.22014566511025455, 0.22278102785373791, 0.23014834872913215, 0.24964428279120826, 0.30508107005849211, 0.48878159627036738, 1.0760419754389314, 1.2251653201396735, 0.74611395518188239, 0.52376868892893913, 0.42481877578246585, 0.37313538205183167, 0.34246709982253287, 0.32250727572559479, 0.30859829103710346, 0.29838537198689041, 0.2905691832713666, 0.28438146963348659, 0.27934196637100445, 0.27513636750471782, 0.27155092215305682, 0.2684354165818848, 0.26568123635270591, 0.26320784696352695, 0.26095418101844015, 0.25887299779488526, 0.25692711144416497, 0.25508684226764167, 0.25332831236308523, 0.25163237531835275, 0.2499840924909375, 0.24837278320844658, 0.24679282163808469, 0.24524558841634853, 0.24374342625718168, 0.24231735114261754, 0.24103224302917922, 0.24001783823266876, 0.23953536554135824, 0.24013108433959723, 0.2430229263390416, 0.25119193539767676, 0.27295207709367453, 0.33595105398690728, 0.54949455177696926, 1.1291073837963133, 1.0076251542122718, 0.62702224642767457, 0.46621962835371056, 0.39286501141054642, 0.35354553711535908, 0.32976024936091286, 0.31407148483298164, 0.30304986212456031, 0.29493550860266809, 0.28874734007711911, 0.28390179479291527, 0.2800334531849844, 0.27690390255336633, 0.2743524148222154, 0.27226781258366883, 0.27057169922560331, 0.26920808994561857, 0.26813680824087943, 0.26732918869889327, 0.2667652502597827, 0.26643184937129749, 0.26632152245768642, 0.26639502610457128, 0.2666165685206483, 0.26698929940988425, 0.26751865719330797, 0.26821266932691484, 0.26908240911756648, 0.2701426517084734, 0.27141279457949186, 0.27291814150308541, 0.27469170037271889, 0.27677672646601226, 0.27923037411349855, 0.28212903849730209, 0.28557634436187707, 0.28971540260125761, 0.29474817494048644, 0.30096711730432413, 0.30880893429955802, 0.31895009836189864, 0.33248573106551244, 0.35128584577793354, 0.37875759277138693, 0.4216144405847167, 0.49432809217237961, 0.6305710837754912, 0.89993813880696172, 1.2368691854422564, 0.96491675104370844, 0.5444635893687374, 0.36592129179272703, 0.29589693607539869, 0.26558822373562208, 0.25131089796465478, 0.24426253059905551, 0.24077570621163125, 0.23916412462395875, 0.2385886567743648, 0.23860474944512491, 0.23896488954695272, 0.23952572983108861, 0.24020163469802608, 0.24094020900779584, 0.24170883116303715, 0.2424869615491039, 0.24326160775394193, 0.24402457699885011, 0.24477077182821658, 0.24549711129670346, 0.24620183608855098, 0.24688405421197854, 0.24754344020402808, 0.24818003386579746, 0.24879410443592714, 0.24938605831020128, 0.24995637603805063, 0.25050556916941885, 0.25103415064882284, 0.25154261449551163, 0.25203142186053418, 0.25250099145660204, 0.25295169296881004, 0.25338384247230195, 0.25379769917107337, 0.25419346297256595, 0.25457127255391521, 0.25493120367710692, 0.25527326758551894, 0.25559740937345948, 0.25590350627164943, 0.25619136584251173, 0.2564607241377585, 0.25671124394669514, 0.25694251337070423, 0.25715404511704737, 0.25734527714382538, 0.25751557565513672, 0.25766424201711019, 0.25779052606509251, 0.25789364970412071, 0.25797284701228546, 0.25802743082754076, 0.25805690205971887, 0.25806112855335023, 0.25804063858373816, 0.25799710628976275, 0.25793416470274955, 0.2578587908625834, 0.25778371736165551, 0.25773174501338753, 0.25774371114995948, 0.25789380571193776, 0.25832045715866325, 0.25929237646720349, 0.26136039700039099, 0.26573982521570488, 0.27539199906093237, 0.29858126209074098, 0.3630257445303216, 0.58201449108824799, 1.222940308922382, 1.1095342888145652, 0.69078850553440041, 0.52368121224695918, 0.45340235216946245, 0.42202938853203575, 0.41156311747540375, 0.41755286842340966, 0.44176631033051122, 0.48170859471919969, 0.48952242546990177, 0.4183344830814299, 0.35079968302684661, 0.31652701484040191, 0.30026425704794557, 0.29193553051703747, 0.28724874129074585, 0.28437981337601459, 0.28249750702042437, 0.28119289395634611, 0.28025037228666638, 0.27954928726429168, 0.27901865215281496, 0.27861496695869109, 0.27831074522206195, 0.27808830179758592, 0.27793626828135309, 0.27784760022866833, 0.27781845184702608], [0.26727086337360056, 0.26737434666890292, 0.26768713771451264, 0.26821646667349941, 0.26897510237837752, 0.26998254091802815, 0.27126691919401313, 0.27286797880690183, 0.27484163906475906, 0.2772671517200655, 0.28025857994964959, 0.28398384800870713, 0.28869770736512546, 0.29480175754982207, 0.30296066135536914, 0.31434479374299151, 0.33118683019848927, 0.35822059142629603, 0.40701906973027335, 0.51177692085522686, 0.79116028121278625, 1.2065215086158751, 0.57942900359710414, 0.32238848939399911, 0.26214997381714528, 0.24503093258861924, 0.24000979395331296, 0.23912187330187204, 0.23982114885533587, 0.24116389459008675, 0.24276561903809887, 0.24446166371357336, 0.2461816366110256, 0.24789829572228364, 0.24960521233634644, 0.25130651643559654, 0.25301206724852221, 0.25473520674767292, 0.25649181741700056, 0.25830008967514601, 0.26018072267505465, 0.26215744129585095, 0.26425780069814114, 0.26651430900377893, 0.26896595016659974, 0.27166024739199846, 0.27465608625582538, 0.27802763381002193, 0.28186987325436924, 0.28630657040200391, 0.29150198209699751, 0.29767846243273127, 0.30514361373933668, 0.31433334286277859, 0.32588229251608258, 0.34074309266224106, 0.36039609211175189, 0.38723366181524238, 0.4252944050934751, 0.48171624456260964, 0.56962774230974145, 0.7132562395519918, 0.95050805099869895, 1.285208428677538, 1.476028827489839, 1.2188900048558464, 0.84228131803538053, 0.59748874763427196, 0.46214623541897293, 0.38661976227638523, 0.34264307802245503, 0.316108001608224, 0.29990674508137416, 0.29036176231873884, 0.28558820896290316, 0.28476029055978969, 0.28783202800133678, 0.29555830883988082, 0.30984954123509884, 0.33473055503279026, 0.37870746059629412, 0.46076156038059873, 0.62509773405910063, 0.95909603288442435, 1.4205477393378294, 1.3660802809727814, 0.93595357488634923, 0.65252778056599081, 0.50394502344272774, 0.42255939951797616, 0.37431950598112729, 0.34362799829579666, 0.32294277510568276, 0.30834189924549099, 0.29764400216948944, 0.28956343360990039, 0.28330431712256621, 0.27835301775077259, 0.27436606360462551, 0.27110665110680232, 0.26840714242080543, 0.26614609247996085, 0.2642337181961224, 0.26260244344104811, 0.26120058989692907, 0.2599880712647259, 0.25893339469221471, 0.25801153411580657, 0.25720239685295593, 0.25648970121751263, 0.25586014365704557, 0.2553027729494306, 0.25480851457190462, 0.25436980540659421, 0.25398031049849423, 0.25363470152619233, 0.2533284821854252, 0.25305784959910882, 0.25281958366627671, 0.25261095828716973, 0.25242966988293153, 0.25227377972372406, 0.25214166739776939, 0.25203199337255278, 0.25194366907256593, 0.25187583326457763, 0.2518278338299525, 0.25179921423503643, 0.25178970420089419, 0.25179126667029306, 0.25179595649731046, 0.25180378094555178, 0.25181475214486493, 0.25182888712725643, 0.25184620787745199, 0.25186674139841697, 0.25189051979220489, 0.25191758035661999, 0.25194796569826472, 0.25198172386265127, 0.25201890848215441, 0.25205957894273118, 0.25210380057039877, 0.25215164483868996, 0.25220318959834798, 0.25225851933078197, 0.25231772542691439, 0.25238090649328848, 0.25244816868750569, 0.25251962608529244, 0.25259540108181133, 0.25267562483005912, 0.25276043771959383, 0.25284998989917429, 0.25294444184732146, 0.2530439649952903, 0.25314874240747248, 0.25325896952486315, 0.2533748549778933, 0.25349662147573143, 0.25362450678002973, 0.25375876477211129, 0.2538996666237503, 0.25404750208302401, 0.25420258088825454, 0.25436523432479941, 0.25453581694149952, 0.2547147084459232, 0.25490231580031397, 0.25509907554328404, 0.25530545636603424, 0.25552196197621996, 0.2557491342876772, 0.25598755698022563, 0.25623785948087041, 0.25650072142611086, 0.25677687767508839, 0.25706712395519626, 0.25737232323610504, 0.25769341294529619, 0.25803141315893541, 0.25838743592703839, 0.25876269592243023, 0.2591585226403787, 0.25957637442162096, 0.26001785462812044, 0.26048473037105069, 0.26097895427795986, 0.26150268989569325, 0.26205834146382423, 0.26264858896854565, 0.26327642961053044, 0.26394522710753554, 0.2646587706240095, 0.26542134560416347, 0.26623781942090086, 0.26711374559504747, 0.26805549146434421, 0.26907039569836283, 0.27016696412100916, 0.27135511514452537, 0.27264649007454334, 0.27405484911766609, 0.27559658187376102, 0.2772913725998894, 0.27916307743237118, 0.28124089598593099, 0.28356095809651577, 0.2861685058906408, 0.28912094539153199, 0.29249219417010253, 0.29637900463395161, 0.30091037524779313, 0.30626192557938187, 0.31267850730460545, 0.32051098047084448, 0.33027837542985755, 0.3427777542528162, 0.35928875390891535, 0.38197845185001927, 0.41476254787218864, 0.46529583238325256, 0.54999405486094455, 0.70735048452632188, 1.0235938388247414, 1.4860328680019415, 1.224689809424611, 0.64822482875201481, 0.40465912815234228, 0.31354296113657842, 0.27606883535445453, 0.25951244972752663, 0.25213946903313444, 0.24919924718704517, 0.24855859385075821, 0.24917731850133204, 0.25051374480118621, 0.25227013442392798, 0.25427489354473487, 0.2564244544879985, 0.25865301961294035, 0.26091608596418225, 0.2631811366940135, 0.26542223324956338, 0.26761682624128574, 0.2697438874375655, 0.27178286891821302, 0.27371320895285034, 0.27551421873503457, 0.27716524506406809, 0.27864603508254643, 0.27993724331388603, 0.28102102627649767, 0.28188167091354099, 0.28250620344794319, 0.28288492745644733, 0.28301184543371083, 0.28288492745644861, 0.28250620344794586, 0.28188167091354105, 0.28102102627649705, 0.27993724331388753, 0.2786460350825446, 0.27716524506406837, 0.27551421873503495, 0.27371320895285239, 0.27178286891821402, 0.26974388743756439, 0.26761682624128302, 0.26542223324956427, 0.26318113669401327, 0.26091608596418331, 0.25865301961294179, 0.25642445448799733, 0.25427489354473193, 0.25227013442393076, 0.25051374480118754, 0.24917731850133129, 0.24855859385075896, 0.24919924718704523, 0.25213946903313844, 0.2595124497275334, 0.27606883535447269, 0.3135429611365384, 0.40465912815251337, 0.64822482875217025, 1.224689809424486, 1.4860328680015868, 1.0235938388248211, 0.70735048452650606, 0.54999405486090314, 0.4652958323832736, 0.41476254787220823, 0.38197845185001572, 0.35928875390892256, 0.34277775425281559, 0.33027837542986549, 0.32051098047084636, 0.3126785073046045, 0.30626192557938264, 0.30091037524779163, 0.29637900463395012, 0.29249219417010103, 0.28912094539153393, 0.2861685058906423, 0.28356095809651705, 0.28124089598593344, 0.27916307743237134, 0.27729137259988668, 0.27559658187375957, 0.27405484911766775, 0.2726464900745435, 0.27135511514452459, 0.27016696412100905, 0.26907039569836233, 0.26805549146434293, 0.26711374559504625, 0.26623781942089958, 0.26542134560416369, 0.2646587706240095, 0.26394522710753615, 0.26327642961053027, 0.2626485889685462, 0.26205834146382434, 0.2615026898956927, 0.26097895427795914, 0.2604847303710513, 0.26001785462812033, 0.25957637442162051, 0.25915852264037909, 0.25876269592243101, 0.25838743592703928, 0.25803141315893535, 0.25769341294529602, 0.25737232323610493, 0.2570671239551956, 0.25677687767508844, 0.25650072142611158, 0.25623785948086991, 0.25598755698022502, 0.25574913428767687, 0.25552196197622018, 0.25530545636603452, 0.2550990755432842, 0.25490231580031358, 0.25471470844592242, 0.25453581694149935, 0.25436523432479952, 0.2542025808882542, 0.25404750208302335, 0.25389966662375013, 0.25375876477211168, 0.25362450678002996, 0.25349662147573065, 0.25337485497789314, 0.25325896952486227, 0.25314874240747215, 0.25304396499529053, 0.25294444184732157, 0.2528499898991739, 0.25276043771959356, 0.25267562483005868, 0.252595401081811, 0.25251962608529327, 0.25244816868750536, 0.25238090649328931, 0.25231772542691489, 0.2522585193307823, 0.25220318959834775, 0.2521516448386904, 0.25210380057039988, 0.2520595789427309, 0.25201890848215508, 0.25198172386265122, 0.25194796569826483, 0.2519175803566201, 0.25189051979220467, 0.25186674139841686, 0.25184620787745232, 0.25182888712725587, 0.25181475214486515, 0.25180378094555206, 0.25179595649731096, 0.25179126667029322, 0.25178970420089308, 0.25179048536327231, 0.2517928291915294, 0.25179673670929253, 0.25180220962348021, 0.2518092503256214, 0.25181786189370209, 0.25182804809453291, 0.25183981338666211, 0.25185316292382259, 0.2518681025589144, 0.25188463884854145, 0.25190277905809227, 0.25192253116738927, 0.25194390387688814, 0.25196690661446208, 0.25199154954276209, 0.25201784356716844, 0.25204580034433954, 0.2520754322913803, 0.2521067525956156, 0.2521397752250234, 0.25217451493929705, 0.25221098730157604, 0.25224920869086237, 0.2522891963151242, 0.25233096822511825, 0.25237454332893627, 0.25241994140731872, 0.25246718312972805, 0.25251629007122212, 0.25256728473015594, 0.2526201905467248, 0.25267503192238361, 0.25273183424016893, 0.25279062388596762, 0.25285142827074264, 0.25291427585377696, 0.25297919616695247, 0.25304621984012543, 0.25311537862763012, 0.25318670543595029, 0.25326023435264144, 0.25333600067651346, 0.2534140409491753, 0.25349439298796844, 0.25357709592039018, 0.25366219022005526, 0.25374971774428506, 0.25383972177341213, 0.25393224705188572, 0.25402733983129311, 0.25412504791538604, 0.25422542070724924, 0.25432850925873018, 0.25443436632227606, 0.25454304640532716, 0.25465460582744753, 0.2547691027803497, 0.25488659739105274, 0.25500715178836203, 0.25513083017293003, 0.25525769889116418, 0.25538782651326414, 0.2555212839157317, 0.25565814436868539, 0.25579848362839785, 0.25594238003546727, 0.25608991461912806, 0.25624117120820661, 0.25639623654933807, 0.25655520043307717, 0.25671815582863911, 0.25688519902807744, 0.25705642980079119, 0.25723195155935952, 0.25741187153781214, 0.25759630098358338, 0.25778535536450964, 0.25797915459242993, 0.25817782326509292, 0.2583814909283032, 0.25859029236044828, 0.25880436788180139, 0.25902386369132102, 0.25924893223392137, 0.25947973260163903, 0.25971643097245956, 0.25995920109109127, 0.26020822479646, 0.26046369260133945, 0.26072580433016485, 0.2609947698218873, 0.26127080970557842, 0.26155415625749362, 0.26184505434945238, 0.26214376249963695, 0.2624505540384735, 0.26276571840384971, 0.26308956258191502, 0.26342241271194133, 0.26376461587620226, 0.26411654209887114, 0.26447858658122825, 0.26485117220448484, 0.26523475233602312, 0.26562981398017876, 0.26603688132086789, 0.26645651971054268, 0.2668893401684389, 0.26733600446100353, 0.26779723084910906, 0.26827380060046829, 0.26876656538216243, 0.2692764556676866, 0.26980449031634851, 0.27035178751084077, 0.27091957727258881, 0.27150921581524928, 0.27212220204624649, 0.27276019658658873, 0.27342504375305077, 0.27411879703777631, 0.27484374873254191, 0.27560246448455544, 0.27639782374473149, 0.27723306728812008, 0.27811185326203902, 0.27903832356806829, 0.28215428566793582, 0.28591502982058853, 0.29058095247883292, 0.29656973118421137, 0.30458739426338755, 0.31591015648748888, 0.33305717524872624, 0.36162957954116282, 0.4163298153926695, 0.54581038542328264, 0.94284950700509218, 1.1548701631491627, 0.44444866518047405, 0.28479912179964062, 0.24759245720580092, 0.23655916133807742, 0.23299825272800012, 0.23196814845165409, 0.23186029228560262, 0.23207842077961469, 0.23238487415647341, 0.23268307812001585, 0.2329358892869865, 0.23313210733278825, 0.23327183269027316, 0.23335978266334587, 0.23340217295968893, 0.23340526913522122, 0.23337474430585056, 0.23331543197218094, 0.23323127140537986, 0.23312534334682047, 0.23299994372579122, 0.23285666868637586, 0.23269649759626959, 0.23251986779414899, 0.23232673858744726, 0.23211664397786377, 0.23188873458934622, 0.23164180975491658, 0.23137434094419376, 0.23108448784345939, 0.23077010854927019, 0.23042876560989603, 0.23005773017090433, 0.22965398743344553, 0.22921424830685352, 0.22873497502205464, 0.22821243342182027, 0.22764279317470495, 0.22702231203029072, 0.22634766658639918, 0.22561653972491216, 0.2248286633467606, 0.22398768407188166, 0.22310455371876561, 0.22220383357599879, 0.22133578135594961, 0.22060045331362627, 0.2201982023787879, 0.22054225440995939, 0.22253009869218207, 0.22826628110989097, 0.24325077883714463, 0.28418284610720046, 0.4122934127517901, 0.85775989205080749, 1.3688471253928871, 0.88154034769809897, 0.58164053431562357, 0.45354313725080148, 0.38982062393084416, 0.35334960336355636, 0.33023037930086679, 0.31443608971190012, 0.30301687791505738, 0.29438587792879484, 0.28762365770641257, 0.28216486390574141, 0.27764455417480105, 0.27381741792125336, 0.27051279274687035, 0.26760837085605071, 0.26501418489151091, 0.26266250692648752, 0.26050128686346663, 0.25848978924653698, 0.2565956486353822, 0.25479288414560791, 0.25306060942123276, 0.25138230837136327, 0.2497456600811008, 0.24814302438684957, 0.24657289102120852, 0.24504293788243917, 0.2435760245601441, 0.24222189842408703, 0.24108068842638139, 0.24035228676767761, 0.2404468608431381, 0.24225301437000665, 0.24785971271129292, 0.2627788479875543, 0.30406545127407192, 0.43589654264635008, 0.88725381868680664, 1.202756881172544, 0.74483106112275999, 0.51453538403714549, 0.41639494455307513, 0.36691310713369646, 0.33825874767825664, 0.3199401082248689, 0.30736397885684907, 0.298265075323497, 0.29141881537519398, 0.28611424799363849, 0.28191475052066617, 0.27853991653922261, 0.27580314105498221, 0.2735767216788168, 0.27177140434330632, 0.2703239165075898, 0.26918912423883296, 0.26833498109626686, 0.26773923400953953, 0.26738728595402589, 0.26727086337360056, 0.26734842581553442, 0.26758225677768865, 0.26797585053522349, 0.26853524766148335, 0.26926938047328686, 0.2701906002827909, 0.27131543794683882, 0.27266567707408007, 0.27426986099383299, 0.2761654192872276, 0.27840170292378619, 0.28104438647619939, 0.2841819820803369, 0.28793570850352002, 0.29247485794491029, 0.29804148796917318, 0.30499156134781658, 0.31386642474094717, 0.32552321214590907, 0.3413867468730814, 0.36396991865119555, 0.39803577917764188, 0.45342440840183068, 0.55242862376370983, 0.74734476792879811, 1.1043818720666152, 1.2116462982222245, 0.72503757563998539, 0.43522171865009429, 0.32401362105366316, 0.27847149915736269, 0.25785348298425759, 0.24787072641862259, 0.24291107168895054, 0.24051530303006041, 0.23950524924658242, 0.23927509981364309, 0.23949540869895225, 0.23997888226014844, 0.24061523406068233, 0.24133771728974651, 0.24210509174144476, 0.24289150715133642, 0.24368062905123006, 0.24446212594489419, 0.24522951461905795, 0.24597880929289215, 0.24670765862538893, 0.24741478541274731, 0.24809961777216141, 0.24876204355225806, 0.24940224524320026, 0.25002058816907707, 0.25061754434992356, 0.25119364047405329, 0.25174942229734787, 0.25228543030417766, 0.25280218312201841, 0.25330016628598623, 0.25377982469324911, 0.25424155759341421, 0.25468571530890466, 0.255112597121051, 0.25552244992757134, 0.25591546739866977, 0.2562917894483272, 0.25665150190600683, 0.2569946363306721, 0.25732116996112442, 0.25763102585098135, 0.25792407330088052, 0.25820012878385701, 0.25845895767560179, 0.25870027726798578, 0.25892376179044829, 0.25912905053361129, 0.25931576073235185, 0.25948350773311435, 0.25963193632469361, 0.25976076925529901, 0.25986988240239262, 0.25995942168656427, 0.26002998617847828, 0.26008291773854475, 0.2601207651375671, 0.26014803981929557, 0.26017247075119471, 0.26020713692450254, 0.26027419258149792, 0.26041159062301783, 0.26068569673206704, 0.26121607704649047, 0.26222700585795367, 0.26416205416906835, 0.26796154327703869, 0.27581027982619211, 0.29345053143194477, 0.33872432182689771, 0.47997862540425773, 0.97528965690530878, 1.3345285416251536, 0.82964856238501583, 0.59250918102125338, 0.50293611417503736, 0.47274651822001906, 0.47852454932692795, 0.51570730115610963, 0.54909718877600378, 0.4833481023433569, 0.38768402276733294, 0.33632724483667703, 0.31251135888158926, 0.30056316596262089, 0.29388914059375554, 0.28979176523146444, 0.28707808639193577, 0.28517203562920374, 0.28377246981880538, 0.28271090367875806, 0.28188753345968132, 0.281240373560118, 0.28072942298795911, 0.2803280989750524, 0.28001838818024033, 0.2797879995708113, 0.27962864877808041, 0.27953501510187584, 0.27950412309249739], [0.26776375607995911, 0.26787297416226025, 0.26820321713959355, 0.2687624874456464, 0.26956494512417684, 0.27063227368622628, 0.27199589074904701, 0.27370039620470449, 0.27580893926294364, 0.2784117048658441, 0.281639701652587, 0.28568798682806917, 0.29085657499127759, 0.29762651672474932, 0.30681105493688021, 0.31988147588803439, 0.33974538192755055, 0.37286634775648064, 0.43609747385131703, 0.58332775400848547, 0.98793740963286913, 1.0450156847781931, 0.445563013749396, 0.29293339953405317, 0.25442771455558305, 0.24298517842578513, 0.23978893831731057, 0.23956417949184788, 0.24051728559921606, 0.24195498589960743, 0.24358712062449028, 0.24528783084939956, 0.24700371785961214, 0.24871533159303794, 0.25041996171438002, 0.25212361571423497, 0.25383721940916459, 0.25557487332900414, 0.25735317461716051, 0.25919114068644566, 0.2611105220918517, 0.26313642200753951, 0.26529821629193984, 0.26763082418894218, 0.27017643383481332, 0.2729868529941602, 0.27612674912287094, 0.2796781856722968, 0.28374708889588157, 0.28847265289316909, 0.29404132190207616, 0.30070808740010835, 0.30882980971008123, 0.31891893571290625, 0.33173303669366727, 0.34842971167682357, 0.37084582783067793, 0.40202367929516941, 0.44724715251016356, 0.51615140507329649, 0.62695376038818607, 0.8130721124722412, 1.1159429844279782, 1.4563193269590466, 1.4217407070807015, 1.0167383129615826, 0.68739638758172672, 0.50358670760192725, 0.40457139027262645, 0.34888355187049747, 0.31598932040959932, 0.29587188762512279, 0.28345376155927016, 0.27607375790778693, 0.27235033601904252, 0.27167077582669841, 0.27399516796517842, 0.27986996284028476, 0.29067250109261694, 0.3092654597413807, 0.34159255659318499, 0.40072873114176449, 0.51762629455828979, 0.76591050788865067, 1.238812632814831, 1.5189421809625532, 1.1190159678616336, 0.74538043430464418, 0.54956139255586167, 0.44702565126836386, 0.38867632917415851, 0.3527069611161382, 0.32903999718079768, 0.31263983788762806, 0.30079544646468181, 0.29195054731823733, 0.28516218189881865, 0.27983244308771393, 0.27556733921924415, 0.27209857570668627, 0.2692382082193272, 0.26685130302121507, 0.26483887971973374, 0.26312694378034851, 0.26165924406524865, 0.2603923752929001, 0.25929239503113893, 0.25833244173599496, 0.25749102838351728, 0.25675080076291057, 0.25609762091919303, 0.25551988174595841, 0.25500798831046706, 0.25455396107256378, 0.25415112933657785, 0.25379389228290167, 0.25347753117220706, 0.25319806070522993, 0.25295211064559031, 0.2527368310635637, 0.25254981619819528, 0.25238904314280031, 0.25225282245823905, 0.25213975849563613, 0.252048717726433, 0.2519788037763564, 0.25192933817270563, 0.25189984606460952, 0.25189004638100604, 0.25189165647239692, 0.2518964892590716, 0.2519045522860443, 0.25191585815339673, 0.25193042455403164, 0.25194827432682571, 0.25196943552551354, 0.25199394150369964, 0.25202183101651088, 0.25205314833950204, 0.25208794340553264, 0.2521262719604509, 0.25216819573856331, 0.25221378265895356, 0.25226310704394761, 0.25231624986107531, 0.25237329899015082, 0.25243434951721488, 0.25249950405733979, 0.25256887310850634, 0.25264257543901908, 0.25272073851125731, 0.25280349894481258, 0.25289100302248707, 0.25298340724300317, 0.25308087892472975, 0.2531835968652531, 0.2532917520621954, 0.25340554850134861, 0.25352520401891765, 0.25365095124554077, 0.25378303864070023, 0.25392173162725395, 0.25406731383707654, 0.25422008848024874, 0.25438037985192075, 0.25454853499287633, 0.25472492552207832, 0.25490994966203462, 0.25510403448086338, 0.25530763837839771, 0.25552125384778723, 0.25574541054884725, 0.25598067873504959, 0.25622767308269428, 0.25648705697869029, 0.25675954733270467, 0.25704591999059562, 0.25734701583932684, 0.25766374770957506, 0.25799710820145161, 0.25834817858203646, 0.2587181389316936, 0.25910827975057493, 0.25952001527896784, 0.2599548988370799, 0.26041464055414398, 0.26090112793663561, 0.26141644982524787, 0.26196292441581098, 0.26254313217804559, 0.26315995470791148, 0.26381662080776613, 0.26451676142179359, 0.2652644754867316, 0.26606440932391545, 0.26692185294507714, 0.26784285763701343, 0.26883438052262931, 0.26990446360100767, 0.27106245724037981, 0.27231930151750455, 0.27368788358475216, 0.27518349603374925, 0.27682443097694343, 0.2786327587859399, 0.28063536147892781, 0.28286532246022622, 0.28536382296925544, 0.28818277177029727, 0.29138851654533721, 0.29506718544521954, 0.29933254425650757, 0.30433783980388002, 0.31029415089450868, 0.31749972704283613, 0.32638860618353621, 0.33761458345181994, 0.35220338903040815, 0.37184449653077073, 0.39948912213495585, 0.44067476938691946, 0.5067267375254384, 0.62314114270400178, 0.85080002149896883, 1.2886705484661969, 1.5325729546567541, 0.91672953157530757, 0.50689270558602495, 0.35377404410065416, 0.2937136133815797, 0.26784988696364526, 0.25619095566723238, 0.25110545287685071, 0.24932755935154094, 0.24932383211940096, 0.25031932182256272, 0.25189851752420322, 0.25382726678070161, 0.25596748913789452, 0.25823384977144109, 0.26057062865776348, 0.26293884414591567, 0.2653088357587543, 0.26765588487302322, 0.26995760317785983, 0.27219240139507489, 0.27433865579606165, 0.27637435342802624, 0.27827708482082147, 0.28002429888482777, 0.28159375666232617, 0.28296412880037697, 0.28411568248576385, 0.28503100155608169, 0.28569568185122013, 0.28609894497900651, 0.28623411903562257, 0.28609894497900801, 0.28569568185122274, 0.28503100155608169, 0.28411568248576324, 0.28296412880037858, 0.28159375666232439, 0.28002429888482799, 0.2782770848208217, 0.2763743534280283, 0.27433865579606259, 0.27219240139507372, 0.26995760317785694, 0.26765588487302411, 0.26530883575875408, 0.26293884414591689, 0.26057062865776492, 0.25823384977143987, 0.25596748913789136, 0.25382726678070444, 0.25189851752420472, 0.250319321822562, 0.24932383211940179, 0.24932755935154066, 0.25110545287685387, 0.25619095566723743, 0.26784988696365836, 0.29371361338155155, 0.35377404410076718, 0.50689270558612209, 0.91672953157522441, 1.5325729546569669, 1.2886705484662722, 0.8508000214992304, 0.62314114270394194, 0.50672673752546793, 0.44067476938694738, 0.39948912213495236, 0.37184449653077961, 0.35220338903040793, 0.33761458345182893, 0.32638860618353804, 0.31749972704283536, 0.31029415089450946, 0.3043378398038783, 0.29933254425650613, 0.29506718544521793, 0.29138851654533926, 0.28818277177029888, 0.28536382296925689, 0.28286532246022872, 0.28063536147892809, 0.27863275878593707, 0.27682443097694215, 0.27518349603375114, 0.27368788358475227, 0.27231930151750383, 0.27106245724037975, 0.26990446360100701, 0.26883438052262798, 0.26784285763701227, 0.26692185294507575, 0.26606440932391573, 0.26526447548673149, 0.2645167614217942, 0.26381662080776613, 0.26315995470791209, 0.26254313217804559, 0.26196292441581032, 0.26141644982524714, 0.26090112793663639, 0.26041464055414387, 0.25995489883707945, 0.2595200152789684, 0.25910827975057571, 0.25871813893169454, 0.25834817858203635, 0.25799710820145133, 0.25766374770957501, 0.25734701583932607, 0.25704591999059562, 0.25675954733270545, 0.25648705697868984, 0.25622767308269356, 0.25598067873504926, 0.25574541054884736, 0.25552125384778751, 0.25530763837839804, 0.25510403448086294, 0.25490994966203379, 0.25472492552207826, 0.25454853499287633, 0.25438037985192058, 0.25422008848024802, 0.25406731383707631, 0.25392173162725434, 0.25378303864070045, 0.25365095124553999, 0.25352520401891737, 0.25340554850134767, 0.25329175206219506, 0.25318359686525327, 0.25308087892472991, 0.25298340724300272, 0.2528910030224869, 0.25280349894481208, 0.25272073851125709, 0.25264257543901986, 0.25256887310850612, 0.25249950405734067, 0.25243434951721544, 0.25237329899015098, 0.25231624986107509, 0.252263107043948, 0.25221378265895461, 0.25216819573856297, 0.25212627196045162, 0.25208794340553259, 0.25205314833950204, 0.25202183101651104, 0.25199394150369936, 0.25196943552551337, 0.25194827432682598, 0.25193042455403114, 0.2519158581533969, 0.25190455228604469, 0.2518964892590721, 0.25189165647239709, 0.25189004638100493, 0.25189085135164024, 0.25189326661860439, 0.25189729324736021, 0.2519029330146102, 0.25191018840970519, 0.2519190626366159, 0.25192955961646191, 0.25194168399062217, 0.25195544112441659, 0.25197083711136048, 0.2519878787780126, 0.25200657368940405, 0.25202693015507716, 0.25204895723571419, 0.25207266475039392, 0.25209806328446455, 0.25212516419805425, 0.25215397963522379, 0.25218452253378443, 0.25221680663577073, 0.25225084649862273, 0.25228665750704898, 0.25232425588561241, 0.25236365871205846, 0.25240488393138799, 0.25244795037071116, 0.25249287775488843, 0.2525396867230062, 0.25258839884568102, 0.25263903664323784, 0.25269162360479303, 0.25274618420825978, 0.25280274394131436, 0.25286132932335387, 0.25292196792849592, 0.25298468840963284, 0.25304952052361046, 0.25311649515755119, 0.25318564435639163, 0.25325700135167101, 0.25333060059161955, 0.25340647777263664, 0.25348466987217605, 0.25356521518315067, 0.25364815334989349, 0.2537335254057837, 0.25382137381260084, 0.25391174250170973, 0.25400467691717155, 0.25410022406088933, 0.25419843253991148, 0.25429935261600284, 0.25440303625764049, 0.25450953719456887, 0.25461891097508671, 0.25473121502623508, 0.2548465087170963, 0.25496485342538655, 0.25508631260761178, 0.25521095187301213, 0.25533883906158589, 0.25547004432650366, 0.25560464022123414, 0.25574270179177916, 0.25588430667439443, 0.25602953519927973, 0.25617847050070791, 0.25633119863417025, 0.25648780870112059, 0.25664839298201814, 0.25681304707839742, 0.25698187006480344, 0.25715496465151327, 0.25733243735906564, 0.25751439870573395, 0.25770096340921134, 0.25789225060392545, 0.25808838407553891, 0.25828949251441014, 0.2584957097899559, 0.25870717524812148, 0.25892403403439673, 0.25914643744511151, 0.25937454331010784, 0.25960851641018889, 0.25984852893324528, 0.26009476097336065, 0.2603474010777892, 0.26060664684726415, 0.26087270559582459, 0.26114579507708863, 0.26142614428482247, 0.26171399433665016, 0.2620095994508968, 0.26231322802789953, 0.26262516384855944, 0.26294570740472695, 0.26327517737787454, 0.26361391228483821, 0.26396227231201852, 0.26432064136236655, 0.26468942934303902, 0.26506907472552277, 0.26546004741476692, 0.26586285196921311, 0.26627803121995786, 0.26670617034466659, 0.26714790146047523, 0.26760390881031904, 0.26807493462910809, 0.26856178579037193, 0.26906534135078836, 0.26958656113013202, 0.27012649548808043, 0.27068629648809894, 0.27126723067321062, 0.27187069372031153, 0.27249822729047024, 0.27315153845455253, 0.27383252214933285, 0.27454328721244059, 0.27528618665983884, 0.27606385301253761, 0.2768792396581124, 0.27773566945686445, 0.27863689208580511, 0.27958715197323386, 0.28059126913643034, 0.28398576881280413, 0.28811848773299231, 0.29329997221147175, 0.30003655571434462, 0.30920220596934017, 0.3224203170823921, 0.34301406747004182, 0.37875196903381114, 0.45152137778165174, 0.64055864953649211, 1.2040300883250132, 0.85508311884367449, 0.36635981578577548, 0.26859135661781658, 0.2433669318386899, 0.23547882225413297, 0.23291604001623492, 0.23223049040564964, 0.23223761406989812, 0.23248304257589461, 0.23278228797612355, 0.23306027984867361, 0.23328898161211833, 0.23346110965251057, 0.23357840441487951, 0.23364619638930051, 0.23367084826510928, 0.23365856584820816, 0.23361487809407774, 0.23354444780679243, 0.23345104395795674, 0.23333758930101639, 0.23320623873154017, 0.23305846551538445, 0.23289514396944702, 0.23271662330692572, 0.23252279063197634, 0.23231312278981919, 0.23208672765192201, 0.23184237583448219, 0.23157852404029736, 0.23129333132234187, 0.2309846696950868, 0.23065013076172508, 0.23028703049417004, 0.22989241516028108, 0.22946307289705814, 0.22899555801185734, 0.22848623950110725, 0.22793139282187974, 0.22732736700612236, 0.22667088214727202, 0.22595955341338933, 0.22519281325712209, 0.22437354612352661, 0.22351102830257313, 0.22262632973528385, 0.22176252946440966, 0.22100476055581483, 0.22052141070680789, 0.2206538668149631, 0.22212677320473781, 0.22658828493294159, 0.2381727172655933, 0.26876317169995328, 0.35926103221268091, 0.67193041644667184, 1.3683815710506131, 1.0612295103538321, 0.65909371468255196, 0.48949169030183159, 0.40950344329596489, 0.36556367570966519, 0.33852662919953924, 0.32046023224759568, 0.30761940883646688, 0.29804530007649682, 0.29062792152038497, 0.28469693078782465, 0.27982600337665264, 0.27573213898861243, 0.27222056484910495, 0.26915300571855133, 0.26642860190161877, 0.2639720024094796, 0.26172569947768726, 0.25964496592860226, 0.25769444993379048, 0.25584587060779285, 0.25407648903258206, 0.25236817997021649, 0.25070704573160513, 0.24908363097747091, 0.24749395665009818, 0.24594186070009705, 0.24444365044429145, 0.24303714588530209, 0.24179957448723138, 0.24088441304178557, 0.24060164152805583, 0.24160591654008529, 0.24538149793758854, 0.25565385927148582, 0.2832001906109094, 0.36568906259940848, 0.65567404172630428, 1.2584101499224443, 0.91620713524041764, 0.58257846685219972, 0.44677478292022055, 0.38295088203407635, 0.34783449475143574, 0.32618354566415103, 0.31170614239810446, 0.30143602236309908, 0.29382419345359828, 0.2879953429732614, 0.28342334032143551, 0.27977611004008562, 0.27683577293144623, 0.27445495338886694, 0.27253163479995235, 0.27099406966391931, 0.26979141066301987, 0.26888774352645367, 0.26825823135882204, 0.26788663150882275, 0.26776375607995911, 0.26784561481567359, 0.26809246115204949, 0.2685081783401545, 0.26909948801470363, 0.26987634887957668, 0.27085256744534542, 0.27204668326793513, 0.27348322560528626, 0.27519449063126716, 0.27722307027172471, 0.2796254961787602, 0.28247758282899588, 0.28588243201253533, 0.28998273171540617, 0.2949802157521661, 0.30116751281791343, 0.30898235186497308, 0.3191041063951281, 0.33263513740752987, 0.35146339106325708, 0.37904264289535822, 0.42221896134647746, 0.49589263546490281, 0.63534965834946955, 0.91655412188020535, 1.2786841996774765, 0.98556921870989234, 0.54761704717717719, 0.36682118226632415, 0.29669956942501574, 0.266477749366825, 0.25226841614292134, 0.2452628869253049, 0.24180389594358515, 0.24021247856103486, 0.23965368700411008, 0.23968522374843312, 0.24006076741761115, 0.2406375868846804, 0.24133035222006372, 0.24208680711887232, 0.24287438051930965, 0.24367253848025952, 0.2444682736417074, 0.24525337123652166, 0.24602271236452516, 0.24677319936008726, 0.24750306315461248, 0.24821141011974929, 0.24889792181763662, 0.24956265396805269, 0.25020590071328447, 0.25082810239358644, 0.25142978262878163, 0.25201150532107652, 0.25257384530414467, 0.25311736839858939, 0.25364261798251836, 0.25415010609036576, 0.25464030766634543, 0.25511365701927546, 0.25557054581694461, 0.25601132216295042, 0.25643629044522498, 0.25684571175267229, 0.25723980473808, 0.25761874687167285, 0.25798267608814757, 0.25833169288765012, 0.25866586301461253, 0.25898522091542753, 0.25928977427610445, 0.25957951007794638, 0.2598544028018368, 0.26011442568863924, 0.260359566368011, 0.26058984876809094, 0.26080536412057242, 0.26100631525046408, 0.26119308046623541, 0.26136630670737865, 0.26152704694865814, 0.26167696556479353, 0.26181864984112924, 0.26195609047141971, 0.26209543694918747, 0.26224621115927693, 0.26242330611409154, 0.26265037315075807, 0.2629657549702944, 0.26343328621321932, 0.26416286686259982, 0.26535182361757359, 0.2673736549768887, 0.27098425511977731, 0.27785135258593963, 0.29209780396561374, 0.32560036175573687, 0.42020852553621796, 0.74944751029002776, 1.4251649489806975, 1.0329499685952106, 0.69624063278183013, 0.58562974455552641, 0.57338911798925052, 0.61072051192870669, 0.58331503024226339, 0.45681579733115357, 0.37243648805393043, 0.33333050281321397, 0.31425176262837434, 0.3037895890856081, 0.29742217803318749, 0.29321743215344548, 0.29026383238310544, 0.28809079416611572, 0.28643612442212318, 0.2851442100434326, 0.28411777309387187, 0.2832933781766655, 0.28262823733340453, 0.28209273003774699, 0.2816659757071992, 0.28133311788852355, 0.2810836123672088, 0.28091013055204112, 0.28080785814864206, 0.28077406266256349], [0.26815310442440154, 0.26826850579266415, 0.26861757863319147, 0.26920920009028732, 0.27005911050273257, 0.27119148880447297, 0.27264151674582893, 0.27445940861510293, 0.27671674231482007, 0.27951658382981898, 0.28301015944279517, 0.28742539129694422, 0.29311812781269975, 0.30066963203013453, 0.31108580320011076, 0.32624200007038429, 0.34999419148699878, 0.39138654947880624, 0.47577821509714413, 0.69041699889683428, 1.2029069010384876, 0.77102903668534184, 0.36644530458128255, 0.27441641888246299, 0.24929465014784299, 0.24166175865047096, 0.23975953250468904, 0.24001917249029478, 0.24115890121474004, 0.24266464859591408, 0.24431627792838023, 0.24601752608161545, 0.24772822832896257, 0.2494351107641673, 0.25113847100625547, 0.2528458893111748, 0.25456924583363311, 0.25632338569133639, 0.25812566336881065, 0.25999600589827965, 0.26195733422689077, 0.26403628994478984, 0.26626428267145341, 0.26867892851689379, 0.27132600873674451, 0.27426215441814406, 0.27755857547621215, 0.28130632734716138, 0.28562389196162663, 0.2906683216857136, 0.29665200521323842, 0.30386854827812432, 0.31273388466220081, 0.32385370574402478, 0.33813810198042626, 0.35700446678760783, 0.38275294808766358, 0.41929502480554404, 0.47363375569004745, 0.55895618156980231, 0.70075365729552663, 0.94362270228001932, 1.31148381612137, 1.5475791391627463, 1.2496938318589643, 0.82610043267285327, 0.56949176978379612, 0.43488540396579728, 0.36223264222484353, 0.32072563016450228, 0.29581019308186401, 0.28036727394126132, 0.27073533579275028, 0.26496490859045563, 0.2620300464840295, 0.26147015364936743, 0.26325111067159446, 0.2677742672917835, 0.27604744430607442, 0.29013707609262435, 0.31425148722062662, 0.35745140534435432, 0.44094377369971738, 0.61803047119138721, 1.0050788545856562, 1.5252220226639195, 1.3389581192183491, 0.87074774785230957, 0.60874847727448711, 0.47722685506796209, 0.40567802983207935, 0.36310341220803205, 0.33582799206056119, 0.31730695268217707, 0.30413904201357972, 0.29442646707868125, 0.28704545922968727, 0.28129672497811442, 0.27672657393967998, 0.27303005616092663, 0.26999589177990302, 0.2674738159283489, 0.26535449368835701, 0.26355676433365993, 0.26201930829072984, 0.26069506526257658, 0.25954741069070603, 0.25854748361191909, 0.25767228512774482, 0.25690330293799873, 0.25622550151552326, 0.25562657063270028, 0.25509635920784823, 0.25462644394785727, 0.25420979731116466, 0.25384052953800523, 0.25351368654392548, 0.25322509040097124, 0.25297121262182548, 0.25274907296521315, 0.25255615829674227, 0.25239035737168375, 0.25224990839470174, 0.25213335695337674, 0.25203952248586614, 0.2519674718768703, 0.25191649911538927, 0.25188611021839835, 0.25187601284576638, 0.25187767184539561, 0.25188265145428684, 0.25189095951034568, 0.25190260910309331, 0.25191761861336204, 0.25193601176918584, 0.25195781771824005, 0.2519830711172516, 0.25201181223892738, 0.25204408709705139, 0.25207994759051955, 0.25211945166719862, 0.25216266350865635, 0.25220965373689863, 0.25226049964449293, 0.25231528544952553, 0.25237410257712312, 0.25243704996940397, 0.25250423442599529, 0.25257577097748701, 0.25265178329445853, 0.25273240413507947, 0.25281777583455556, 0.25290805084014872, 0.25300339229590779, 0.2531039746817369, 0.253209984511999, 0.25332162109946915, 0.25343909739118009, 0.2535626408834894, 0.25369249462464832, 0.25382891831418325, 0.25397218950961886, 0.25412260495244671, 0.25428048202682912, 0.25444616036637363, 0.25462000362639881, 0.25480240144158706, 0.25499377159173131, 0.25519456240162897, 0.25540525540499265, 0.25562636830679575, 0.25585845828376774, 0.25610212566900586, 0.25635801807404413, 0.256626835010487, 0.25690933308370106, 0.25720633184350433, 0.25751872039163309, 0.25784746486369331, 0.25819361692485904, 0.25855832344474727, 0.25894283754874847, 0.25934853128199109, 0.25977691016993276, 0.26022963001851251, 0.26070851636994441, 0.26121558712138238, 0.26175307892792998, 0.26232347815550255, 0.26292955733171441, 0.26357441827606543, 0.26426154339016394, 0.26499485697623637, 0.26577879895711154, 0.2666184140342055, 0.26751946019856382, 0.26848854168369374, 0.26953327303178987, 0.27066248310048391, 0.27188647080419048, 0.27321732851373787, 0.27466935485593175, 0.27625958695815633, 0.27800849420007112, 0.27994089319012927, 0.28208717005099704, 0.28448493617686177, 0.28718130573756157, 0.29023608151897939, 0.29372629496611702, 0.29775281103976559, 0.30245016123929175, 0.30800156731056283, 0.31466257980885737, 0.32279953810202633, 0.3329546005794749, 0.34596071756882457, 0.36315577777049785, 0.38680667953722947, 0.42101189325053745, 0.4737893640009247, 0.56235259866576159, 0.72716019925643793, 1.0596193551023061, 1.5537348699749161, 1.2924251259050781, 0.68013017500121875, 0.41904179555654802, 0.32090280240873637, 0.2802880694469233, 0.26216845127044858, 0.25396143850419289, 0.25056373104058799, 0.24967897827750252, 0.25018486020569491, 0.25149560441445884, 0.25328863373899435, 0.25537787686192343, 0.25765112919714811, 0.26003734985694704, 0.26248877912754764, 0.26497076870297698, 0.26745581106453137, 0.26991995738952007, 0.27234065889696402, 0.27469550317388336, 0.27696154940158613, 0.27911509203792706, 0.28113174979300593, 0.28298681070618231, 0.28465577849718793, 0.28611506827711886, 0.28734279660709272, 0.28831960584827276, 0.28902945898298948, 0.2894603410724137, 0.28960480884072098, 0.28946034107241547, 0.28902945898299259, 0.28831960584827276, 0.28734279660709205, 0.28611506827712058, 0.28465577849718615, 0.28298681070618259, 0.28113174979300626, 0.27911509203792922, 0.27696154940158707, 0.27469550317388208, 0.27234065889696102, 0.26991995738952118, 0.26745581106453115, 0.26497076870297809, 0.26248877912754914, 0.26003734985694577, 0.257651129197145, 0.25537787686192648, 0.25328863373899602, 0.25149560441445823, 0.25018486020569591, 0.24967897827750193, 0.25056373104059038, 0.25396143850419678, 0.26216845127045835, 0.28028806944690338, 0.32090280240880897, 0.41904179555661009, 0.6801301750011749, 1.2924251259057633, 1.5537348699748939, 1.0596193551026862, 0.7271601992563469, 0.56235259866580389, 0.47378936400096028, 0.42101189325053345, 0.38680667953723991, 0.36315577777049757, 0.34596071756883462, 0.3329546005794769, 0.32279953810202539, 0.31466257980885837, 0.30800156731056083, 0.30245016123929008, 0.29775281103976359, 0.29372629496611924, 0.29023608151898117, 0.28718130573756312, 0.28448493617686454, 0.28208717005099737, 0.27994089319012611, 0.27800849420006979, 0.27625958695815844, 0.27466935485593214, 0.27321732851373709, 0.27188647080419026, 0.27066248310048319, 0.26953327303178859, 0.26848854168369263, 0.26751946019856226, 0.26661841403420572, 0.26577879895711159, 0.26499485697623709, 0.26426154339016378, 0.26357441827606598, 0.2629295573317143, 0.26232347815550178, 0.26175307892792932, 0.26121558712138321, 0.26070851636994424, 0.26022963001851207, 0.25977691016993326, 0.25934853128199187, 0.25894283754874931, 0.25855832344474722, 0.25819361692485887, 0.25784746486369325, 0.25751872039163226, 0.25720633184350428, 0.25690933308370179, 0.25662683501048633, 0.25635801807404346, 0.25610212566900553, 0.25585845828376791, 0.25562636830679608, 0.25540525540499281, 0.25519456240162858, 0.25499377159173064, 0.25480240144158695, 0.25462000362639886, 0.25444616036637341, 0.25428048202682857, 0.25412260495244643, 0.25397218950961931, 0.25382891831418353, 0.25369249462464744, 0.25356264088348912, 0.25343909739117915, 0.25332162109946893, 0.25320998451199939, 0.25310397468173707, 0.25300339229590729, 0.2529080508401485, 0.25281777583455506, 0.25273240413507919, 0.25265178329445936, 0.25257577097748668, 0.25250423442599623, 0.25243704996940447, 0.25237410257712334, 0.25231528544952525, 0.25226049964449332, 0.25220965373689985, 0.25216266350865607, 0.25211945166719923, 0.25207994759051955, 0.25204408709705151, 0.25201181223892766, 0.25198307111725149, 0.25195781771823994, 0.25193601176918617, 0.25191761861336159, 0.25190260910309348, 0.25189095951034607, 0.25188265145428734, 0.25187767184539572, 0.25187601284576533, 0.25187684226767398, 0.25187933090303749, 0.25188347986107501, 0.25188929099147989, 0.25189676688592322, 0.25190591088016001, 0.25191672705672924, 0.25192922024827685, 0.25194339604148835, 0.25195926078163555, 0.25197682157775481, 0.25199608630845288, 0.2520170636283609, 0.25203976297522385, 0.25206419457766249, 0.25209036946359759, 0.25211829946935893, 0.25214799724948522, 0.25217947628724025, 0.25221275090583539, 0.2522478362804163, 0.25228474845078602, 0.25232350433491013, 0.25236412174322381, 0.25240661939374859, 0.25245101692805455, 0.25249733492808024, 0.25254559493385903, 0.25259581946214898, 0.25264803202601849, 0.25270225715541805, 0.25275852041876373, 0.25281684844557195, 0.2528772689501862, 0.25293981075664529, 0.25300450382471557, 0.2530713792771635, 0.25314046942829105, 0.25321180781381525, 0.25328542922213465, 0.25336136972703843, 0.25343966672195795, 0.25352035895578945, 0.25360348657040593, 0.25368909113991106, 0.2537772157117521, 0.25386790484977068, 0.25396120467930433, 0.25405716293445363, 0.25415582900763634, 0.25425725400156995, 0.25436149078381481, 0.25446859404404959, 0.25457862035424306, 0.25469162823191355, 0.25480767820667644, 0.25492683289031504, 0.25504915705059195, 0.25517471768910427, 0.25530358412344406, 0.25543582807399973, 0.2555715237557511, 0.25571074797543086, 0.25585358023450316, 0.25600010283839669, 0.25615040101254083, 0.25630456302574495, 0.25646268032158193, 0.25662484765843896, 0.25679116325903883, 0.25696172897026448, 0.25713665043423883, 0.25731603727171948, 0.25750000327896716, 0.25768866663938989, 0.2578821501514062, 0.25808058147414642, 0.25828409339276864, 0.25849282410541047, 0.25870691753399633, 0.25892652366141211, 0.25915179889783363, 0.25938290647932832, 0.25962001690226555, 0.25986330839742255, 0.26011296744824003, 0.26036918935815101, 0.26063217887257789, 0.26090215086185209, 0.26117933107214408, 0.26146395695235375, 0.26175627856597178, 0.26205655959808, 0.26236507846899326, 0.26268212956759618, 0.26300802461912737, 0.26334309420425966, 0.26368768944853505, 0.26404218390392614, 0.2644069756473692, 0.26478248962458661, 0.26516918027171255, 0.2655675344518923, 0.26597807474965318, 0.2664013631722385, 0.26683800531468244, 0.26728865505426969, 0.26775401985040581, 0.26823486673825159, 0.26873202911900163, 0.26924641446696562, 0.26977901309413571, 0.27033090813756938, 0.27090328696434723, 0.27149745422442423, 0.2721148468246028, 0.27275705114900317, 0.27342582291495104, 0.27412311013102258, 0.27485107971974299, 0.2756121484857173, 0.27640901925709127, 0.27724472321165028, 0.27812266962946552, 0.2790467046048471, 0.28002118061998538, 0.28105103935474768, 0.28214191071458977, 0.285849901889553, 0.29040641426969116, 0.29618396238940686, 0.30380084406162722, 0.3143490018780179, 0.32991857793723173, 0.35496516009338092, 0.40050924460242887, 0.5001701188975386, 0.78569398828717874, 1.3812330138813984, 0.61309530652466693, 0.32018328684608616, 0.2579379787552265, 0.24040893945105335, 0.23470724134699922, 0.23286891976166066, 0.2324363412285689, 0.23252459668809336, 0.23278415620509937, 0.23307107197555227, 0.23332702946069842, 0.23353118385136371, 0.23367935772105813, 0.23377457900460996, 0.23382263751447502, 0.23382997780918427, 0.23380272099831129, 0.23374624495326868, 0.23366504259754262, 0.23356271635890372, 0.23344203548758025, 0.23330501808406351, 0.233153018142079, 0.23298680778909195, 0.23280665023786654, 0.23261236183210879, 0.23240336308510812, 0.23217871937946932, 0.23193717236126482, 0.23167716322506432, 0.23139684917552705, 0.23109411445974257, 0.2307665775783824, 0.23041159670418696, 0.23002627610870427, 0.22960747775152526, 0.22915184450157713, 0.22865584538902739, 0.2281158599693508, 0.22752833035709, 0.2268900294864562, 0.2261985296824239, 0.22545302020590713, 0.22465574304959995, 0.22381454870384473, 0.22294753811961546, 0.22209172519981965, 0.221319773028406, 0.22077376872402876, 0.22073718894557856, 0.22179901658201256, 0.22526147897376017, 0.23427009673648586, 0.25741880471839379, 0.3224591913242883, 0.536965461435292, 1.194920257184356, 1.2744078914790327, 0.76508690529668122, 0.53598773807273659, 0.43364735968310858, 0.37995666846234044, 0.34800404028248233, 0.32717098463679828, 0.31263831745521309, 0.30196174206697884, 0.29378935310743942, 0.287320445601428, 0.28205385519357762, 0.27766132046916425, 0.27391948224073459, 0.27067133800579479, 0.2678033717018613, 0.26523144646876601, 0.26289181036393561, 0.26073520187576554, 0.25872290452703489, 0.25682407591026379, 0.25501395324570697, 0.25327271094322512, 0.25158486984255923, 0.24993927004083658, 0.24832975615067621, 0.24675693938696036, 0.24523179788935867, 0.2437826786690328, 0.24246899778983749, 0.24140892894678526, 0.24083824483889807, 0.24124399832889715, 0.2436954751251813, 0.25075930868141266, 0.26942012544587407, 0.32226962015579719, 0.49861489944604698, 1.0681391299575715, 1.1387085515942414, 0.68236673986708773, 0.48791585025803136, 0.40324246946926173, 0.3593512975559674, 0.33340176069381472, 0.3165640496802824, 0.3048819928835142, 0.29636825219230023, 0.28993302566177259, 0.28493659181425329, 0.28098277898758356, 0.277815634019347, 0.27526420304970101, 0.27321137334052753, 0.2715754827849387, 0.27029906136241288, 0.26934174513025522, 0.26867574250141418, 0.26828293747359461, 0.26815310442440154, 0.26823959523321811, 0.26850048119573017, 0.26894008698416738, 0.26956590863723329, 0.27038907533863127, 0.27142505955887841, 0.27269471167725284, 0.27422573808477801, 0.27605480753168898, 0.27823057497849263, 0.28081808349348081, 0.2839052941716671, 0.28761299899702164, 0.29211028371578329, 0.2976394205784324, 0.30455743039389233, 0.31340847756705792, 0.32505636265729959, 0.3409415078944048, 0.36361477286711885, 0.39793896415392827, 0.45404706348746454, 0.55522405400860153, 0.75758564977064879, 1.1380996876930898, 1.2498130546325223, 0.73042414192573257, 0.43509549040189566, 0.32393601375293501, 0.27869141116351676, 0.2582464886166681, 0.24835321100991459, 0.24344048218337302, 0.24107110823231673, 0.24007791983186971, 0.2398606029595442, 0.24009248476154224, 0.24058767356661356, 0.24123658013744942, 0.2419727872245559, 0.24275519170559773, 0.24355798107179644, 0.24436480972287086, 0.24516531377461762, 0.24595297156332974, 0.24672376109612573, 0.24747530150179031, 0.24820629500899921, 0.24891615921095714, 0.24960478191118293, 0.25027235614701415, 0.25091926836402434, 0.25154602224271189, 0.25215318668738279, 0.25274136033768013, 0.25331114746689865, 0.25386314178136205, 0.25439791573629067, 0.25491601372721151, 0.25541794802401641, 0.25590419666610814, 0.25637520278345793, 0.25683137498435238, 0.25727308857938436, 0.25770068750912528, 0.25811448692161088, 0.25851477641412124, 0.25890182401905992, 0.25927588108290561, 0.25963718826731441, 0.2599859830010583, 0.26032250884131591, 0.26064702737822237, 0.26095983355869729, 0.26126127564601381, 0.26155178151738112, 0.26183189370463006, 0.26210231661374861, 0.26236398089185065, 0.2626181322240207, 0.26286645539151676, 0.26311124996167545, 0.26335568278903054, 0.26360415681059157, 0.26386285937829645, 0.26414059384828359, 0.26445006906024571, 0.26480994953130682, 0.26524820922726133, 0.26580779953466721, 0.26655659602142384, 0.26760563879792565, 0.26914436459176883, 0.27151302288573603, 0.27536320227710659, 0.28204855864384026, 0.294695064406442, 0.32161238701510131, 0.38946806872092721, 0.60437500628279384, 1.2741342375233924, 1.3124333299316144, 0.86852297657017319, 0.7439222790410579, 0.72382855548661218, 0.59149003989649007, 0.44622842579331867, 0.37361142161216637, 0.33916905211915382, 0.32085762726647882, 0.30996335825676807, 0.30289137546911421, 0.29799249389272442, 0.29443049935085291, 0.29174444347324902, 0.28966239496918894, 0.28801488515937412, 0.28669150960871548, 0.28561771875162395, 0.28474170856360809, 0.28402666518645037, 0.28344599405400867, 0.28298028810950038, 0.28261535082067252, 0.28234088357192605, 0.28214960777637454, 0.28203668372149782, 0.28199934275658911], [0.26859966291565701, 0.26872182296976571, 0.269091491696132, 0.26971854682843804, 0.27062054174418426, 0.27182453094659698, 0.27337005929150671, 0.27531389727035549, 0.27773755515874909, 0.28075944544270637, 0.28455520202550105, 0.28939306079327642, 0.29569870090089828, 0.30418175479657106, 0.31610242608441741, 0.33389034558439001, 0.36276960353776472, 0.41576450760788553, 0.53245863137475358, 0.85372908288475735, 1.2523331080771665, 0.5595189586575865, 0.31963196846937936, 0.26260483651742583, 0.24597819127502168, 0.2409549798619974, 0.23998195446001311, 0.24059819083298298, 0.24187590928506369, 0.24343075703418421, 0.2450950148842401, 0.24679514321607485, 0.24850134717413899, 0.25020528794376662, 0.25190973165138031, 0.25362361299334851, 0.25535970433902444, 0.2571336162377531, 0.25896353263239735, 0.2608704022383953, 0.26287846845897583, 0.2650161113939879, 0.26731703812129715, 0.26982191370795638, 0.27258059087240455, 0.27565518644128034, 0.27912438888100949, 0.28308959713822079, 0.28768384557395593, 0.29308506958356018, 0.29953631224496058, 0.30737735520506621, 0.31709576822764163, 0.32941217635892567, 0.34542829422465343, 0.36689533101309052, 0.39672457408593137, 0.44000926912630678, 0.50616696568437802, 0.61350310523338059, 0.7977305040554511, 1.1128203144917475, 1.5059132822056867, 1.4945539690343701, 1.0324480009753518, 0.6726388895225941, 0.48288589118544745, 0.38468773968777997, 0.33087139469957794, 0.299546094606497, 0.28043634329884248, 0.26844077771405922, 0.26088701876303133, 0.25632826028739808, 0.25399261221327141, 0.25352938234715128, 0.25490959246844702, 0.25843212742868454, 0.26484509411219326, 0.27566262122976015, 0.29390911358948912, 0.32594149018258967, 0.38629394883343149, 0.51156232962311809, 0.79632837915016907, 1.3572925883464184, 1.5486482229262708, 1.0404712634170499, 0.68764183834807557, 0.51554530424038003, 0.42638414656960033, 0.37538956839996318, 0.34367806735604045, 0.32262186442488977, 0.30790612806628243, 0.29719621046652744, 0.28914336957235787, 0.28292497461868327, 0.27801604761865811, 0.27406853926788088, 0.27084408647403418, 0.26817482660761505, 0.2659396513699267, 0.26404931822179262, 0.26243683204920631, 0.26105106510976966, 0.25985242435348122, 0.25880984660110684, 0.25789867486987361, 0.25709913162714332, 0.2563952040846072, 0.25577381881563399, 0.25522422273387396, 0.25473751339734507, 0.25430627881723222, 0.25392431857305275, 0.25358642600413966, 0.25328821678912883, 0.25302599313125707, 0.25279663555535326, 0.25259751633647698, 0.25242643005206827, 0.25228153783744106, 0.25216132273803749, 0.25206455416776291, 0.25199025995534935, 0.25193770482920191, 0.25190637448422137, 0.25189596461292652, 0.25189767493187304, 0.25190280860198672, 0.25191137377139744, 0.25192338404804537, 0.2519388585414567, 0.25195782192156591, 0.25198030449496406, 0.2520063422990218, 0.25203597721447035, 0.2520692570971349, 0.25210623592964138, 0.25214697399404179, 0.25219153806647665, 0.25224000163508781, 0.25229244514265436, 0.25234895625550308, 0.25240963016053736, 0.25247456989238942, 0.25254388669297789, 0.25261770040601195, 0.25269613990927253, 0.25277934358788523, 0.25286745985210202, 0.25296064770359794, 0.2530590773547286, 0.25316293090573488, 0.25327240308548665, 0.25338770206204198, 0.25350905033007809, 0.25363668568311332, 0.2537708622794736, 0.25391185181208259, 0.25405994479348365, 0.25421545196900708, 0.25437870587273237, 0.25455006254291856, 0.25472990341586688, 0.25491863741990051, 0.25511670329424085, 0.25532457216125104, 0.25554275038473195, 0.25577178275198492, 0.25601225602322503, 0.25626480289886494, 0.25653010646338592, 0.25680890517427063, 0.25710199847606274, 0.25741025313351806, 0.25773461039443951, 0.2580760941128874, 0.25843581998770099, 0.25881500610074221, 0.25921498497524159, 0.25963721741864959, 0.26008330846865158, 0.26055502582804979, 0.26105432125763983, 0.26158335550045791, 0.26214452744181865, 0.26274050837527568, 0.26337428245547811, 0.26404919468884913, 0.26476900816106091, 0.26553797265233214, 0.26636090738294421, 0.2672433014114961, 0.2681914362461848, 0.26921253662232308, 0.27031495728722932, 0.27150841621825905, 0.27280428827751552, 0.27421597831686934, 0.27575939985138259, 0.27745359562990579, 0.27932155132064235, 0.28139127558394939, 0.28369725303277338, 0.28628242757934741, 0.2892009535370757, 0.29252207973818078, 0.2963357417741595, 0.30076079121040394, 0.30595740511416636, 0.31214632307037277, 0.31963961788369283, 0.32889171400121453, 0.3405875554314956, 0.35580250091322851, 0.37630916644949691, 0.40520681078398252, 0.4483170293153676, 0.5175628518124773, 0.6398424299099027, 0.87965805877279224, 1.3438097435329812, 1.6120363770160928, 0.96405331820857187, 0.52769150102912565, 0.36384791216821827, 0.29921875607919934, 0.27116450129667824, 0.2583593082691813, 0.25264416242474863, 0.25051894284352966, 0.25033594684491967, 0.25126032761505113, 0.25284342976105822, 0.25483204181591923, 0.25707684969375572, 0.25948580826600415, 0.26199915936305973, 0.26457545178751168, 0.26718342144246088, 0.26979713181858356, 0.272393010586853, 0.27494804535633655, 0.27743873192648477, 0.27984054675695663, 0.28212781241845603, 0.28427387606215027, 0.28625154521193391, 0.28803373300378193, 0.28959426298269092, 0.29090877649410313, 0.29195567746657652, 0.2927170432995681, 0.29317942931562307, 0.29333449957105556, 0.29317942931562502, 0.29271704329957149, 0.29195567746657658, 0.29090877649410274, 0.28959426298269264, 0.28803373300377999, 0.28625154521193408, 0.28427387606215049, 0.28212781241845852, 0.27984054675695758, 0.27743873192648338, 0.27494804535633333, 0.27239301058685417, 0.26979713181858328, 0.26718342144246221, 0.26457545178751329, 0.26199915936305845, 0.25948580826600071, 0.25707684969375894, 0.25483204181592106, 0.2528434297610575, 0.25126032761505235, 0.250335946844919, 0.25051894284353149, 0.25264416242475157, 0.25835930826918807, 0.27116450129666397, 0.29921875607925064, 0.36384791216825962, 0.52769150102910867, 0.9640533182092188, 1.6120363770159536, 1.3438097435334122, 0.87965805877265635, 0.63984242990996809, 0.51756285181252637, 0.44831702931536194, 0.40520681078399601, 0.37630916644949697, 0.35580250091324062, 0.34058755543149788, 0.3288917140012137, 0.31963961788369377, 0.31214632307037038, 0.30595740511416458, 0.30076079121040195, 0.29633574177416189, 0.29252207973818245, 0.2892009535370772, 0.28628242757935035, 0.2836972530327736, 0.28139127558394605, 0.27932155132064079, 0.27745359562990796, 0.27575939985138281, 0.27421597831686834, 0.27280428827751529, 0.27150841621825827, 0.27031495728722793, 0.26921253662232186, 0.26819143624618336, 0.26724330141149633, 0.26636090738294416, 0.26553797265233281, 0.2647690081610608, 0.26404919468884963, 0.26337428245547811, 0.26274050837527491, 0.26214452744181788, 0.26158335550045875, 0.26105432125763961, 0.26055502582804935, 0.26008330846865213, 0.25963721741865031, 0.25921498497524254, 0.2588150061007421, 0.25843581998770077, 0.25807609411288734, 0.25773461039443879, 0.25741025313351817, 0.25710199847606352, 0.25680890517427007, 0.2565301064633852, 0.25626480289886461, 0.25601225602322514, 0.25577178275198525, 0.25554275038473212, 0.25532457216125071, 0.25511670329423997, 0.25491863741990034, 0.25472990341586699, 0.25455006254291834, 0.25437870587273176, 0.25421545196900686, 0.25405994479348409, 0.25391185181208276, 0.25377086227947276, 0.25363668568311304, 0.25350905033007726, 0.25338770206204175, 0.25327240308548682, 0.253162930905735, 0.25305907735472827, 0.25296064770359772, 0.25286745985210157, 0.2527793435878849, 0.25269613990927331, 0.25261770040601161, 0.25254388669297873, 0.25247456989239003, 0.25240963016053763, 0.2523489562555028, 0.25229244514265492, 0.25224000163508903, 0.25219153806647648, 0.25214697399404246, 0.25210623592964132, 0.25206925709713496, 0.25203597721447046, 0.25200634229902164, 0.25198030449496389, 0.25195782192156624, 0.25193885854145626, 0.2519233840480456, 0.25191137377139777, 0.25190280860198722, 0.25189767493187309, 0.25189596461292529, 0.25189681969148403, 0.25189938531230205, 0.25190366263113467, 0.25190965357530298, 0.25191736084530147, 0.25192678791704859, 0.25193793904477341, 0.25195081926456764, 0.25196543439859037, 0.25198179105992918, 0.25199989665813965, 0.25201975940545546, 0.25204138832369377, 0.2520647932518435, 0.25208998485437406, 0.25211697463025745, 0.25214577492272489, 0.25217639892976962, 0.25220886071541809, 0.2522431752217672, 0.25227935828184267, 0.25231742663325568, 0.25235739793270506, 0.25239929077134832, 0.25244312469105046, 0.25248892020155173, 0.25253669879856777, 0.25258648298287578, 0.25263829628038736, 0.25269216326326405, 0.25274810957211019, 0.25280616193927441, 0.25286634821330423, 0.25292869738459822, 0.25299323961231351, 0.25306000625255709, 0.253129029887941, 0.25320034435853728, 0.25327398479431518, 0.25334998764911709, 0.25342839073623452, 0.25350923326569758, 0.25359255588331164, 0.25367840071157799, 0.25376681139255652, 0.25385783313280641, 0.25395151275049466, 0.25404789872480249, 0.254147041247762, 0.25424899227865955, 0.25435380560117316, 0.25446153688339068, 0.2545722437409102, 0.25468598580320684, 0.25480282478349048, 0.25492282455227916, 0.25504605121496149, 0.25517257319359782, 0.25530246131330436, 0.25543578889352414, 0.2555726318445668, 0.25571306876982253, 0.25585718107407779, 0.25600505307844634, 0.25615677214242116, 0.25631242879366872, 0.25647211686619037, 0.25663593364759935, 0.25680398003628119, 0.25697636070934626, 0.25715318430233036, 0.25733456360173607, 0.25752061575161411, 0.25771146247552124, 0.2579072303153323, 0.25810805088856142, 0.25831406116603717, 0.25852540377196537, 0.25874222730868623, 0.25896468670866246, 0.25919294361657186, 0.25942716680468586, 0.25966753262510878, 0.25991422550291532, 0.26016743847464485, 0.26042737377724839, 0.26069424349313669, 0.2609682702577471, 0.26124968803681009, 0.2615387429814614, 0.26183569437034748, 0.26214081564909847, 0.2624543955788976, 0.26277673950742475, 0.26310817077726567, 0.26344903228887473, 0.2637996882376234, 0.26416052604708229, 0.26453195852387318, 0.26491442626306111, 0.26530840033717656, 0.26571438530693509, 0.26613292259728155, 0.26656459428909823, 0.26701002738459229, 0.26746989861349052, 0.2679449398578671, 0.26843594428599654, 0.26894377330059444, 0.26946936442450653, 0.27001374026804753, 0.27057801874739035, 0.27116342475377142, 0.27177130350970929, 0.27240313589260368, 0.27306055605963542, 0.27374537177323072, 0.27445958790637082, 0.27520543370545697, 0.27598539451016191, 0.27680224878083576, 0.27765911147296879, 0.2785594850351284, 0.27950731960629549, 0.28050708436864363, 0.28156385249785687, 0.28268340277806198, 0.28387234175820691, 0.28793730382770411, 0.2929823819314395, 0.29945755447524736, 0.30812437943277793, 0.32036205089720526, 0.33889984391029526, 0.36982567481385714, 0.42918887911620351, 0.57043896153690388, 1.0074636638896999, 1.2385635657197172, 0.4657922936835529, 0.29192337223726111, 0.25084151313228764, 0.23841337735457113, 0.23426111051755219, 0.23295418877001722, 0.23270768298723646, 0.23285202511774564, 0.23311609513122619, 0.23338714456734488, 0.23362001540524613, 0.2337995817256717, 0.23392414710110909, 0.23399775853006793, 0.23402655252713112, 0.23401701226048632, 0.23397516166717236, 0.23390622820733942, 0.23381454060575904, 0.23370354171395838, 0.23357585389502306, 0.2334333640693253, 0.23327731138267033, 0.23310836902077367, 0.23292671636093193, 0.23273210018268087, 0.23252388500197077, 0.2323010932740274, 0.2320624365296774, 0.23180633864812311, 0.23153095254142897, 0.23123417161699231, 0.23091363757235969, 0.23056674645344033, 0.23019065560289112, 0.22978229534385722, 0.2293383913217287, 0.22885550693385154, 0.2283301212050888, 0.22775876757251901, 0.22713827651069612, 0.22646619568046328, 0.22574151663187533, 0.22496593933119058, 0.2241461004150245, 0.22329757470397851, 0.22245224665256397, 0.22167234063253333, 0.22107824089624109, 0.22090653475961075, 0.22163903651544348, 0.22431333730160027, 0.23134972600757414, 0.2490581357507764, 0.29660234944454916, 0.44432321182825257, 0.95034982203572549, 1.4566601539603381, 0.9119860144523394, 0.59797925991551903, 0.4641491904988721, 0.39743679757875167, 0.35919830588540669, 0.33494047766791196, 0.31836427787379501, 0.30638097145269383, 0.29732682909274816, 0.29023704494146718, 0.28451804355210086, 0.27978655757468279, 0.27578494519249452, 0.27233399522804974, 0.26930532474040991, 0.26660456062464238, 0.26416072812034536, 0.26191935577958103, 0.25983788864190949, 0.25788258936690112, 0.25602644236220851, 0.25424777952746491, 0.25252948363418437, 0.25085873772769673, 0.24922741106477167, 0.24763334837444165, 0.24608313778399457, 0.24459753655310212, 0.24322200555582624, 0.24204765870602185, 0.24125478958002841, 0.24120892712160386, 0.24269002474557452, 0.24749698628233491, 0.26026341771891165, 0.29491247309500868, 0.40265514881906428, 0.7907045017446358, 1.3155193257556381, 0.83236515597278782, 0.54608425774209579, 0.4299298300145063, 0.37374515812490738, 0.34211224260207024, 0.3222845084296736, 0.30887042793519959, 0.29927740592110214, 0.29213058734526842, 0.28664380144301477, 0.2823402381018299, 0.2789169945013657, 0.27617452031309098, 0.27397764492988858, 0.27223298235294535, 0.27087530583288727, 0.26985908040955986, 0.26915310204040804, 0.26873710116519872, 0.26859966291565701, 0.26869121661530082, 0.26896745539818911, 0.26943320971100981, 0.27009686468257177, 0.27097089737298596, 0.27207270640825659, 0.27342582733361892, 0.27506168075334497, 0.27702208378010784, 0.27936288972977619, 0.28215934455797081, 0.28551413239771128, 0.28956976425956971, 0.29452822019027841, 0.30068316787784605, 0.30847493627501066, 0.31858872971105928, 0.332139823018338, 0.35104574109746306, 0.37883268244177309, 0.42254230132031295, 0.49767651584713435, 0.6416664889388527, 0.93825656575578387, 1.326886741978883, 1.0005103809232911, 0.54705044594075258, 0.36605905153467833, 0.29656086945423332, 0.2666831350361264, 0.25264032300920403, 0.24571616493839207, 0.24229883411404168, 0.24073066192702422, 0.24018686804350928, 0.24023013413058245, 0.24061661883775451, 0.24120482749030731, 0.24191003184520135, 0.24268024839421312, 0.24348300841332338, 0.24429779392022133, 0.24511157254299698, 0.24591608829596001, 0.24670617836639985, 0.24747870577118641, 0.24823187053891965, 0.24896475844251004, 0.24967704158285095, 0.25036877763680138, 0.25104027414373165, 0.25169199621611277, 0.25232450357304614, 0.25293840757488051, 0.25353434202454683, 0.25411294352400704, 0.25467483851712658, 0.25522063505299347, 0.2557509179180909, 0.25626624620930238, 0.25676715271605022, 0.2572541446910539, 0.25772770574365494, 0.25818829870681353, 0.25863636942266865, 0.2590723514723754, 0.25949667195207143, 0.25990975847564352, 0.26031204767395416, 0.26070399556757395, 0.26108609032628688, 0.26145886810699215, 0.26182293290122327, 0.26217898165062131, 0.26252783634209365, 0.26287048543098224, 0.26320813784567754, 0.26354229413058317, 0.26387484118673588, 0.26420817988572942, 0.26454539906599017, 0.2648905158902507, 0.26524881261019345, 0.26562731576031368, 0.26603548971075214, 0.26648625953755012, 0.26699755155155408, 0.26759466873396254, 0.2683140524163572, 0.26920942292023192, 0.27036216052102613, 0.27189958403207853, 0.27402871636320525, 0.27710233546696406, 0.28175748027127417, 0.28923194056087353, 0.30217017255314838, 0.32698213599741677, 0.382107835026679, 0.53371943874046801, 1.0399160598711765, 1.6191672486116033, 1.1680935195907582, 0.89479515900834938, 0.62808325676117793, 0.46752500822747484, 0.39267172980965914, 0.35487641030795458, 0.3334194937695808, 0.32003413724409224, 0.31107370931800643, 0.3047489359831197, 0.30009999890588113, 0.29657372542988214, 0.29383238577608733, 0.29165993098401688, 0.28991278437939944, 0.28849250352742295, 0.28732984561182617, 0.2863750932938664, 0.28559197414370407, 0.28495372497238464, 0.28444048197224492, 0.28403751733979188, 0.28373403367266886, 0.28352233827985041, 0.2833972863159171, 0.28335592345511618], [0.26986818292451153, 0.2699981244439093, 0.27039151508458348, 0.27105941514797172, 0.27202152623412512, 0.2733083231436601, 0.2749645674468067, 0.27705492113137387, 0.27967295017846661, 0.28295588767214619, 0.28710968311865781, 0.29245343519702044, 0.29950266061592862, 0.30913624269695383, 0.32296038150643064, 0.34419045088728745, 0.38009916824328444, 0.45011874779110805, 0.61847717578386985, 1.086801129629458, 1.0189450023572517, 0.43188594695809601, 0.29191733997000346, 0.25563066756311437, 0.24455044056416292, 0.24135212256512828, 0.24105971627718314, 0.24194646671234721, 0.24333280925009659, 0.24492920137652513, 0.24660746924693405, 0.24831166566595128, 0.25002022202619406, 0.25172883227859616, 0.25344237695708999, 0.25517104776832228, 0.25692854134743598, 0.25873133974936363, 0.26059861454996958, 0.26255254182712612, 0.26461894669090308, 0.26682827525320446, 0.26921695177635507, 0.27182923844972118, 0.2747197901844568, 0.27795720461263507, 0.28162903409059231, 0.28584899524214491, 0.29076755928680548, 0.29658787515585278, 0.303590339493085, 0.31217162439328927, 0.3229087242492597, 0.33666799998954444, 0.35479871848317629, 0.37949300686593207, 0.41449073647290419, 0.46653565143108322, 0.54851885538304612, 0.68620029424028828, 0.92871013016005044, 1.3225486106789637, 1.6241279123940777, 1.3074212809384966, 0.83247794405493192, 0.55809876371956268, 0.42041572884836492, 0.34835937924322463, 0.30802052154696291, 0.28407734655898365, 0.26924121714274696, 0.25981711668284879, 0.25383004449180319, 0.25019240180156188, 0.24831604922485251, 0.24793064864665387, 0.24901161617391454, 0.25178445690295109, 0.25681212604510456, 0.26522012053419819, 0.27921458986570491, 0.30331935966510398, 0.34758566530400925, 0.43676943223807202, 0.63765360968805829, 1.1034213228661089, 1.6390721544433253, 1.2638615339317691, 0.7970631761855167, 0.56677081283077724, 0.45328765133276577, 0.3911872303501388, 0.3538349373431342, 0.32964247336364905, 0.3130507198824109, 0.30115035637340737, 0.29230477704027158, 0.28553698346665102, 0.28023434359574623, 0.27599656903365616, 0.27255285170393723, 0.26971444827086732, 0.26734639027770507, 0.26534998249535829, 0.26365162703761197, 0.26219548507305107, 0.26093853779787374, 0.25984718815004415, 0.25889487596531791, 0.25806037428986595, 0.25732655255013187, 0.25667946544162401, 0.25610767279022295, 0.2556017256634856, 0.25515377380713172, 0.25475726276318789, 0.25440669807881328, 0.25409746027681945, 0.25382565865075801, 0.2535880150677689, 0.25338177120676331, 0.2532046142931213, 0.25305461759398812, 0.25293019283454599, 0.25283005237181866, 0.25275317947973619, 0.25269880550114887, 0.25266639294113469, 0.25265562383491913, 0.25265739321732072, 0.25266270419570513, 0.25267156527238777, 0.25268399064718339, 0.25270000026154316, 0.25271961986070673, 0.25274288107427578, 0.25276982151568689, 0.25280048490121204, 0.25283492118922873, 0.2528731867406378, 0.25291534450144471, 0.25296146420870147, 0.25301162262111204, 0.25306590377587995, 0.25312439927346414, 0.25318720859222643, 0.25325443943512005, 0.25332620811087869, 0.25340263995243728, 0.25348386977563508, 0.2535700423816612, 0.2536613131070401, 0.25375784842547783, 0.2538598266063718, 0.25396743843537301, 0.25408088800305434, 0.25420039356847729, 0.25432618850531008, 0.25445852233908706, 0.25459766188533506, 0.25474389249952512, 0.2548975194512656, 0.25505886943680983, 0.25522829224585758, 0.2554061626008613, 0.25559288218957549, 0.25578888191459231, 0.25599462438703102, 0.25621060669563706, 0.25643736348722573, 0.25667547039999172, 0.25692554789774286, 0.25718826556084762, 0.25746434689884257, 0.25775457476056879, 0.2580597974306893, 0.2583809355170687, 0.25871898975218921, 0.25907504985446445, 0.25945030462269708, 0.25984605347032319, 0.26026371964691625, 0.26070486544453225, 0.26117120974836849, 0.26166464836791453, 0.26218727768046002, 0.26274142223875252, 0.26332966714579553, 0.26395489619159396, 0.26462033699149456, 0.26532961468036931, 0.26608681612398422, 0.26689656713967141, 0.26776412591565424, 0.26869549674210425, 0.269697569401469, 0.27077829123064373, 0.27194688113598625, 0.27321409796498453, 0.2745925799866944, 0.27609727836086567, 0.27774601622432504, 0.27956021768925859, 0.28156586966405023, 0.28379480721940492, 0.2862864555167971, 0.28909022689086439, 0.29226887552257613, 0.29590328046236514, 0.30009940769300886, 0.30499868091119403, 0.31079383673002264, 0.31775388839524266, 0.32626477179544827, 0.3368981276121889, 0.35053301677156029, 0.3685828527024288, 0.39344530157621704, 0.42946106206520834, 0.48513517982987392, 0.57876034638089258, 0.75342267434943799, 1.1066577954589472, 1.631959218024309, 1.3563912911030689, 0.71041334202397555, 0.43370067501219206, 0.32899439687316517, 0.28532080111398506, 0.26563516633111139, 0.25657645919824412, 0.25270548732187847, 0.25156618601573733, 0.25195420053681578, 0.25323907064414203, 0.25507281741913601, 0.25725452534680693, 0.2596631961256517, 0.26222257358263668, 0.26488182237530322, 0.26760446614749256, 0.27036182350107202, 0.27312900024481052, 0.27588240282566762, 0.27859820820917575, 0.2812514777979509, 0.2838157411191593, 0.28626295029461402, 0.28856374500920995, 0.29068798390979111, 0.29260550030134413, 0.29428703314811783, 0.29570527309360156, 0.29683595139426178, 0.29765889089768394, 0.29815893549417072, 0.29832667986461803, 0.29815893549417283, 0.29765889089768771, 0.29683595139426167, 0.29570527309360101, 0.29428703314811994, 0.29260550030134214, 0.29068798390979139, 0.28856374500921034, 0.28626295029461646, 0.28381574111916036, 0.28125147779794935, 0.27859820820917225, 0.27588240282566889, 0.27312900024481035, 0.27036182350107341, 0.267604466147494, 0.26488182237530206, 0.26222257358263301, 0.25966319612565503, 0.25725452534680882, 0.25507281741913534, 0.25323907064414342, 0.25195420053681494, 0.25156618601573866, 0.2527054873218807, 0.25657645919824895, 0.26563516633110079, 0.28532080111402081, 0.3289943968731931, 0.43370067501217718, 0.71041334202442674, 1.356391291102923, 1.6319592180245137, 1.1066577954587409, 0.7534226743495257, 0.57876034638096241, 0.48513517982986665, 0.42946106206522611, 0.39344530157621682, 0.36858285270244318, 0.35053301677156268, 0.33689812761218763, 0.32626477179544944, 0.31775388839523994, 0.3107938367300207, 0.30499868091119159, 0.30009940769301185, 0.29590328046236714, 0.29226887552257785, 0.28909022689086766, 0.28628645551679732, 0.28379480721940137, 0.28156586966404862, 0.27956021768926093, 0.27774601622432538, 0.27609727836086478, 0.27459257998669423, 0.2732140979649838, 0.2719468811359847, 0.2707782912306424, 0.26969756940146755, 0.26869549674210436, 0.26776412591565418, 0.26689656713967197, 0.26608681612398405, 0.26532961468037003, 0.2646203369914944, 0.26395489619159318, 0.2633296671457947, 0.26274142223875341, 0.26218727768045991, 0.26166464836791398, 0.2611712097483691, 0.2607048654445332, 0.26026371964691741, 0.25984605347032297, 0.25945030462269686, 0.25907504985446445, 0.25871898975218832, 0.25838093551706864, 0.25805979743069007, 0.25775457476056818, 0.2574643468988419, 0.25718826556084712, 0.25692554789774302, 0.25667547039999206, 0.25643736348722596, 0.25621060669563667, 0.25599462438703019, 0.25578888191459215, 0.2555928821895756, 0.25540616260086119, 0.25522829224585691, 0.25505886943680967, 0.25489751945126604, 0.25474389249952534, 0.25459766188533434, 0.25445852233908678, 0.25432618850530914, 0.25420039356847696, 0.25408088800305451, 0.25396743843537317, 0.25385982660637141, 0.25375784842547761, 0.25366131310703971, 0.25357004238166092, 0.25348386977563597, 0.25340263995243689, 0.25332620811087947, 0.25325443943512049, 0.25318720859222665, 0.25312439927346386, 0.25306590377588045, 0.25301162262111326, 0.25296146420870119, 0.25291534450144537, 0.25287318674063769, 0.25283492118922879, 0.25280048490121215, 0.25276982151568678, 0.25274288107427573, 0.25271961986070712, 0.25270000026154255, 0.25268399064718361, 0.2526715652723881, 0.25266270419570563, 0.25265739321732084, 0.25265562383491791, 0.25265650844176923, 0.25265916266517041, 0.25266358771401637, 0.25266978560427161, 0.25267775916069501, 0.25268751201925421, 0.2526990486302238, 0.252712374261996, 0.25272749500559466, 0.25274441777989276, 0.25276315033756069, 0.25278370127173416, 0.25280608002343158, 0.25283029688970748, 0.25285636303258113, 0.25288429048873484, 0.25291409218000677, 0.25294578192468675, 0.25297937444964824, 0.25301488540330325, 0.25305233136945221, 0.25309172988199785, 0.25313309944057727, 0.2531764595271383, 0.25322183062347275, 0.25326923422975001, 0.25331869288406822, 0.25337023018308319, 0.25342387080371609, 0.25347964052600419, 0.25353756625713225, 0.25359767605668238, 0.25365999916315252, 0.25372456602179216, 0.25379140831382502, 0.25386055898708715, 0.25393205228817634, 0.25400592379614945, 0.25408221045786478, 0.25416095062503374, 0.2542421840930526, 0.25432595214174025, 0.25441229757802947, 0.25450126478075713, 0.25459289974763027, 0.25468725014451732, 0.25478436535717075, 0.25488429654553002, 0.25498709670075542, 0.25509282070515316, 0.25520152539517821, 0.25531326962768969, 0.2554281143496856, 0.25554612267173193, 0.25566735994534073, 0.25579189384455892, 0.25591979445207902, 0.25605113435016097, 0.25618598871675863, 0.25632443542720018, 0.2564665551618639, 0.25661243152030877, 0.25676215114235817, 0.25691580383672075, 0.25707348271772945, 0.25723528435091436, 0.25740130890812413, 0.25757166033305362, 0.25774644651806178, 0.25792577949331824, 0.25810977562937687, 0.25829855585442946, 0.25849224588761438, 0.25869097648991157, 0.2588948837343214, 0.25910410929722172, 0.25931880077302377, 0.2595391120144564, 0.25976520350112803, 0.25999724273927943, 0.26023540469602302, 0.26047987227173047, 0.26073083681467335, 0.26098849868256147, 0.26125306785611219, 0.26152476461051888, 0.26180382025132842, 0.26209047792213402, 0.26238499349237387, 0.26268763653465305, 0.26299869140217275, 0.2633184584182941, 0.26364725519183407, 0.2639854180735301, 0.26433330377122582, 0.26469129114369749, 0.26505978319591933, 0.26543920930167181, 0.26583002768318126, 0.26623272818180099, 0.26664783535867298, 0.2670759119702531, 0.26751756287027595, 0.26797343939780044, 0.26844424432026287, 0.26893073741150075, 0.26943374175771539, 0.26995415089968033, 0.27049293693781801, 0.27105115974852678, 0.27162997748619749, 0.27223065857657597, 0.27285459544485674, 0.27350332026738022, 0.27417852309115925, 0.27488207273290238, 0.27561604095184244, 0.27638273049236028, 0.27718470771811604, 0.27802484071562411, 0.27890634394027952, 0.2798328307229781, 0.28080837526474506, 0.28183758614003995, 0.28292569383176241, 0.28407865546755001, 0.28530328076424638, 0.28660738428014471, 0.2910939693179031, 0.29672207178422433, 0.30404100391973593, 0.31400047195217878, 0.32836872671255096, 0.35077672504998203, 0.38974674817638877, 0.46942101023076488, 0.67785967874642084, 1.3015573659166937, 0.90836733611362397, 0.381193334458935, 0.27465333391685232, 0.24668865753520178, 0.23773506347766216, 0.23470083598631342, 0.23378934568918849, 0.23368177062209569, 0.23386544594279274, 0.23412851159069914, 0.23438246028062173, 0.2345925825198466, 0.23474837832472939, 0.23485019212369926, 0.23490292424654854, 0.23491300913621366, 0.23488696853749685, 0.23483074765521383, 0.23474944697852221, 0.23464725364123898, 0.23452747038724897, 0.23439258833532001, 0.23424437507548082, 0.2340839632848479, 0.23391193252476872, 0.23372838099391363, 0.23353298625815241, 0.23332505517375182, 0.23310356382483674, 0.23286718857549002, 0.23261432945232721, 0.23234312712961802, 0.23205147486336281, 0.23173702688482783, 0.23139720510096506, 0.23102920657628429, 0.23063001536982178, 0.23019642416963376, 0.22972507430710329, 0.22921252800785583, 0.22865539566354465, 0.22805055621741263, 0.22739553546824245, 0.22668915470511539, 0.2259326490801819, 0.2251316187548334, 0.22429949404435245, 0.22346383875702081, 0.22267817425708097, 0.22204502901294801, 0.22176306516221445, 0.22222930265122406, 0.22427785380844323, 0.22979197738758189, 0.24347209049170623, 0.27878666037586752, 0.38199303965185538, 0.7347967026041462, 1.4804675679376014, 1.1130540223533052, 0.68451384952914762, 0.50492743330295209, 0.4201968510455304, 0.37363880965108148, 0.34499541163317182, 0.32586475062391035, 0.31227674025082641, 0.30215390290823452, 0.29431884167639533, 0.28806053256593295, 0.28292687319779219, 0.27861785905436032, 0.27492711937901881, 0.27170824477119765, 0.26885453727778991, 0.26628637584742371, 0.26394308314283332, 0.2617775538199647, 0.25975263943031313, 0.25783869697096151, 0.25601195186948872, 0.25425348314990942, 0.25254875635411911, 0.25088774375873274, 0.24926581989992797, 0.2476858642135964, 0.24616246203347314, 0.24473003676792324, 0.24345880626251037, 0.2424872661451152, 0.24209198061229525, 0.24284852136614704, 0.24603790237997816, 0.2548007650098249, 0.27795640254656473, 0.34533863796652919, 0.57992428761212989, 1.2427968615837111, 1.0514631333476645, 0.63322487860016263, 0.46741259696858012, 0.39322671259363656, 0.35377982427316407, 0.33002477070629593, 0.31440988967944816, 0.3034786569162865, 0.29546562981803581, 0.28939026214575986, 0.28467138268972386, 0.28094654544854941, 0.27798052412950652, 0.27561591998108237, 0.27374507308039275, 0.27229339677965592, 0.27120916093831787, 0.27045709601123047, 0.27001437733971073, 0.26986818292451153, 0.26996556551949447, 0.27025948496974844, 0.27075536995071131, 0.27146265907738848, 0.27239543079701467, 0.27357338040841378, 0.27502325973335057, 0.27678096301060101, 0.27889454969168126, 0.28142866980683728, 0.28447115315978977, 0.2881430398740869, 0.29261426423010567, 0.29812896288156709, 0.30504784012786551, 0.31392218551198298, 0.32562983651359045, 0.34164012762279183, 0.36456762614510752, 0.39942899266239568, 0.45677567082417925, 0.56120598889166307, 0.77343902638277895, 1.1803228342979399, 1.2833854668719828, 0.73030181362246827, 0.43370208314730818, 0.32391789520610981, 0.27937430104554239, 0.25924337719558543, 0.24949537063571053, 0.24465417907425535, 0.2423233045866823, 0.24135375787906413, 0.24115370643112766, 0.24140056379802699, 0.24191043927706127, 0.2425747182698865, 0.24332744024239666, 0.24412769447941568, 0.24494972705140189, 0.24577718581265598, 0.24659967193237775, 0.24741062014338028, 0.24820596674811488, 0.24898329659221732, 0.24974128779967286, 0.25047934528911847, 0.25119735607769245, 0.25189552437570312, 0.25257425968055075, 0.25323410050860956, 0.25387566235705089, 0.2544996023066069, 0.25510659516313289, 0.25569731767750792, 0.25627243848164022, 0.2568326121224862, 0.2573784760871195, 0.25791065006837294, 0.25842973697394844, 0.2589363253667204, 0.25943099316391816, 0.25991431253449176, 0.26038685602958395, 0.26084920407036294, 0.26130195400884748, 0.26174573107890881, 0.26218120167530595, 0.2626090895489312, 0.26303019570028624, 0.26344542300871288, 0.26385580697812611, 0.26426255444708885, 0.2646670927548711, 0.26507113275301275, 0.26547675031879031, 0.26588649283648047, 0.26630351973001465, 0.26673178996960395, 0.26717631518787838, 0.26764350567844741, 0.26814164983438615, 0.2686815884014716, 0.26927767821563298, 0.26994919455303323, 0.27072241253132429, 0.27163376536443357, 0.2727347569196707, 0.27409982039870773, 0.27583929870378571, 0.27812168906751045, 0.28121343455431502, 0.28555379502748096, 0.29190450657903944, 0.30167178771778463, 0.31766548240174175, 0.34610900877054845, 0.4028219533215498, 0.53617093410337957, 0.92353075122409767, 1.783703278406146, 1.4011069696286056, 0.80694571829544159, 0.55357224248077441, 0.4431636960539137, 0.38780310142125463, 0.35649544864355159, 0.33711207436071944, 0.32426795714135137, 0.31530363773686881, 0.30878886022766128, 0.30390012383686127, 0.30013636344916456, 0.29717859653570328, 0.29481601391934265, 0.29290488835160255, 0.29134465174076263, 0.29006340740112091, 0.28900885311481161, 0.28814242541376622, 0.28743542655587467, 0.28686640956113879, 0.28641938480146506, 0.28608257870788667, 0.28584757515345643, 0.28570873186054463, 0.2856628037659994], [0.27106890685051949, 0.27120733989473161, 0.27162663863168962, 0.27233922373758684, 0.27336727665989008, 0.27474524110522036, 0.27652397430529091, 0.27877744052165931, 0.28161357021715444, 0.28519231522080701, 0.2897567999073955, 0.29568969707667025, 0.30362147629195624, 0.31465400944533367, 0.33086660602781803, 0.35660230624018902, 0.40226878029021224, 0.49794270349399028, 0.75056441835869303, 1.3048745287682286, 0.72588410780921808, 0.35856391519970982, 0.27484963842287685, 0.25125632431757328, 0.24388808434711734, 0.24198317818273557, 0.2421895780205425, 0.24327751148250015, 0.24474433833860815, 0.24637070292666047, 0.24805855157713197, 0.24976564069251217, 0.25147694027095935, 0.25319142837484304, 0.25491577676963845, 0.25666131580842305, 0.25844265476044836, 0.26027719887663348, 0.26218520519658617, 0.26419021803687409, 0.26631983426538813, 0.26860681941453696, 0.27109065516099312, 0.27381966410181263, 0.27685394514961614, 0.28026948294221055, 0.28416399984221213, 0.28866545520185766, 0.29394466469216995, 0.30023450297892529, 0.30785993754243846, 0.31728647414292138, 0.32920107018569739, 0.34465271714504703, 0.36530787575286611, 0.39393857522108544, 0.43540800584954925, 0.49877388406140238, 0.60194734380885329, 0.78140581992085667, 1.1006236979893023, 1.5433940407776214, 1.5852579316317599, 1.0726628327130912, 0.67557139234629582, 0.47511249824701041, 0.37496418795982811, 0.32141742133437051, 0.2907603229137648, 0.27222319105645115, 0.26057146777956919, 0.25309062173964714, 0.24830048839830368, 0.24537254436234185, 0.24385296818245819, 0.24353082848137214, 0.2443852308773069, 0.24658845203600638, 0.25056977369418343, 0.25717790165562399, 0.26804747935392514, 0.28645207687951263, 0.31945488931251104, 0.38392270476818519, 0.52501312235408037, 0.86736532257211985, 1.5243158412331932, 1.5176838590292367, 0.94686731353676823, 0.63389799066629993, 0.48663891507856999, 0.40991118973298618, 0.36545531691566291, 0.33744812496994936, 0.31863490219453861, 0.30535418662673219, 0.29560467047439326, 0.28821885916728712, 0.2824782520721833, 0.27792057902017853, 0.27423710552568359, 0.27121498627176926, 0.26870342654048202, 0.26659303792679101, 0.264802813852069, 0.26327166700892435, 0.26195278608561834, 0.26080978455638587, 0.25981401758190825, 0.25894267768736362, 0.25817742033688224, 0.25750335678899061, 0.25690830585111202, 0.25638223097763341, 0.25591681195829752, 0.25550511564174577, 0.25514134043668435, 0.25482061641754322, 0.25453884780507929, 0.25429258808824762, 0.25407894055720631, 0.25389547883210428, 0.25374018330349662, 0.25361139038847996, 0.25350775224962208, 0.25342820519011294, 0.25337194537734126, 0.25333841089387676, 0.25332726939583283, 0.25332909996936098, 0.25333459464487357, 0.25334376229643074, 0.25335661774508944, 0.25337318180555451, 0.25339348135187922, 0.25341754940264355, 0.25344542522613034, 0.25347715446616659, 0.25351278928942578, 0.25355238855513529, 0.25359601800827641, 0.25364375049756016, 0.25369566621958012, 0.25375185299083408, 0.25381240654940784, 0.25387743088844944, 0.25394703862374873, 0.2540213513980667, 0.25410050032515741, 0.25418462647676848, 0.2542738814163526, 0.25436842778358809, 0.25446843993437318, 0.25457410464149016, 0.25468562186176397, 0.25480320557627412, 0.25492708471098174, 0.25505750414607031, 0.25519472582333441, 0.25533902996218422, 0.25549071639619292, 0.25565010604371502, 0.25581754252792105, 0.25599339396370296, 0.25617805493135465, 0.25637194865973328, 0.25657552944492379, 0.25678928533422685, 0.25701374110981973, 0.25724946161164619, 0.25749705544529966, 0.25775717912795887, 0.2580305417340602, 0.25831791011263983, 0.25862011476051339, 0.25893805645004503, 0.25927271372782917, 0.25962515142169229, 0.25999653031904191, 0.26038811821059388, 0.26080130253141187, 0.26123760487762659, 0.2616986977343399, 0.2621864238209819, 0.26270281854830269, 0.26325013619119259, 0.26383088051978093, 0.26444784080614292, 0.26510413434649982, 0.26580325692386364, 0.26654914300368138, 0.26734623793252782, 0.26819958503493879, 0.26911493132805497, 0.27009885667107059, 0.27115893263994784, 0.2723039194153416, 0.2735440117077248, 0.27489114853203084, 0.27635940695165795, 0.2779655074408578, 0.27972946934049248, 0.28167547067618204, 0.28383299001424045, 0.28623834331508763, 0.28893678292850966, 0.2919854107871182, 0.29545729390723047, 0.29944739369819434, 0.30408129743845375, 0.30952839543745048, 0.31602232531559732, 0.32389370409536561, 0.33362445396377949, 0.34594179163169231, 0.36198889447294702, 0.3836528709419722, 0.41423853288500478, 0.45996508378149392, 0.53359613297792763, 0.66398437811944344, 0.92034975700597443, 1.4155853498245818, 1.6915607946381943, 1.006029604894171, 0.54812707508653036, 0.37503474470862425, 0.3061666665455427, 0.27598263430994885, 0.26203185451172373, 0.25567864567240689, 0.25320096602552306, 0.25283925312090672, 0.25369864267205122, 0.25529674563070726, 0.25736078797079148, 0.25972992811094819, 0.26230532852258542, 0.26502329442715461, 0.26784015758438945, 0.27072342167337277, 0.27364638995482293, 0.27658481407779029, 0.27951477500434196, 0.28241136330863509, 0.28524792078322891, 0.2879957131733889, 0.29062396244545702, 0.29310019568075885, 0.29539087704332678, 0.29746228570474831, 0.29928159078902833, 0.30081805847340415, 0.30204431044474789, 0.30293754096726982, 0.30348059536290084, 0.30366281816334201, 0.30348059536290312, 0.30293754096727393, 0.30204431044474778, 0.3008180584734037, 0.29928159078903055, 0.29746228570474625, 0.29539087704332706, 0.29310019568075912, 0.29062396244545935, 0.28799571317339001, 0.28524792078322719, 0.28241136330863131, 0.27951477500434341, 0.27658481407779001, 0.27364638995482443, 0.27072342167337449, 0.26784015758438817, 0.26502329442715095, 0.26230532852258903, 0.25972992811095025, 0.25736078797079076, 0.25529674563070875, 0.25369864267205039, 0.25283925312090766, 0.25320096602552472, 0.2556786456724105, 0.26203185451171579, 0.27598263430997427, 0.30616666654556152, 0.37503474470861375, 0.54812707508681102, 1.0060296048940853, 1.6915607946378286, 1.4155853498243083, 0.92034975700611121, 0.66398437811955047, 0.53359613297791875, 0.4599650837815164, 0.41423853288500545, 0.38365287094198963, 0.36198889447295002, 0.34594179163169103, 0.33362445396378021, 0.3238937040953625, 0.31602232531559532, 0.3095283954374477, 0.30408129743845691, 0.29944739369819651, 0.29545729390723213, 0.29198541078712148, 0.28893678292850983, 0.28623834331508391, 0.28383299001423867, 0.28167547067618459, 0.27972946934049275, 0.27796550744085685, 0.27635940695165767, 0.27489114853202984, 0.27354401170772319, 0.27230391941534027, 0.27115893263994628, 0.27009885667107075, 0.26911493132805497, 0.26819958503493946, 0.26734623793252754, 0.26654914300368199, 0.26580325692386353, 0.26510413434649915, 0.26444784080614214, 0.26383088051978182, 0.26325013619119253, 0.26270281854830224, 0.26218642382098239, 0.26169869773434079, 0.26123760487762754, 0.26080130253141182, 0.2603881182105936, 0.25999653031904185, 0.2596251514216914, 0.25927271372782917, 0.25893805645004586, 0.25862011476051278, 0.25831791011263916, 0.25803054173405982, 0.25775717912795904, 0.25749705544529988, 0.25724946161164636, 0.25701374110981945, 0.25678928533422585, 0.25657552944492368, 0.2563719486597334, 0.25617805493135448, 0.2559933939637023, 0.25581754252792077, 0.25565010604371552, 0.25549071639619314, 0.25533902996218327, 0.25519472582333413, 0.25505750414606937, 0.25492708471098147, 0.25480320557627439, 0.25468562186176402, 0.25457410464148966, 0.25446843993437301, 0.25436842778358759, 0.25427388141635232, 0.25418462647676932, 0.25410050032515702, 0.25402135139806753, 0.25394703862374918, 0.25387743088844966, 0.25381240654940757, 0.25375185299083458, 0.25369566621958134, 0.25364375049755994, 0.25359601800827708, 0.25355238855513518, 0.25351278928942589, 0.25347715446616681, 0.25344542522613023, 0.25341754940264338, 0.2533934813518795, 0.25337318180555402, 0.25335661774508961, 0.25334376229643119, 0.25333459464487418, 0.25332909996936109, 0.25332726939583172, 0.25332818459464834, 0.25333093061261713, 0.25333550871467075, 0.25334192101025488, 0.25335017045517755, 0.25336026085420144, 0.25337219686436918, 0.25338598399909429, 0.25340162863300786, 0.25341913800756083, 0.25343852023741315, 0.25345978431759636, 0.25348294013148392, 0.25350799845955335, 0.25353497098898592, 0.25356387032409444, 0.25359470999761202, 0.25362750448284577, 0.2536622692067359, 0.25369902056380861, 0.25373777593109442, 0.25377855368398733, 0.25382137321310022, 0.25386625494214765, 0.25391322034686897, 0.25396229197504366, 0.2540134934676162, 0.25406684958099723, 0.25412238621054783, 0.25418013041531295, 0.25424011044405181, 0.25430235576260446, 0.25436689708265514, 0.25443376639194631, 0.25450299698601919, 0.25457462350152138, 0.2546486819511804, 0.25472520976049573, 0.25480424580625166, 0.25488583045692725, 0.25497000561508776, 0.25505681476189423, 0.25514630300379298, 0.25523851712154588, 0.25533350562169299, 0.25543131879061598, 0.25553200875132537, 0.25563562952314273, 0.25574223708444854, 0.25585188943868153, 0.25596464668380109, 0.25608057108541582, 0.25619972715383571, 0.25632218172529697, 0.25644800404764878, 0.25657726587080576, 0.25671004154231869, 0.25684640810840048, 0.25698644542085314, 0.25713023625030179, 0.25727786640623757, 0.25742942486439963, 0.25758500390206723, 0.25774469924192828, 0.25790861020519801, 0.2580768398747999, 0.25824949526943575, 0.25842668752952452, 0.2586085321160253, 0.25879514902333467, 0.25898666300751999, 0.25918320383132287, 0.25938490652751517, 0.2595919116823579, 0.25980436574111809, 0.26002242133781517, 0.26024623765162935, 0.26047598079265377, 0.26071182422003009, 0.26095394919581705, 0.26120254527838632, 0.26145781085955316, 0.26171995375017687, 0.26198919181957397, 0.26226575369467287, 0.2625498795256746, 0.26284182182574711, 0.26314184639331001, 0.26345023332651357, 0.26376727814081791, 0.26409329300196127, 0.264428608088283, 0.26477357309822735, 0.26512855892101184, 0.26549395949094423, 0.26587019384868216, 0.26625770843612323, 0.26665697965533269, 0.26706851672640997, 0.26749286488436308, 0.26793060896097931, 0.26838237740480902, 0.26884884680046628, 0.26933074695818943, 0.26982886665588024, 0.27034406012927259, 0.27087725442175498, 0.27142945772419086, 0.27200176885759525, 0.27259538807839512, 0.27321162941830546, 0.27385193480969966, 0.27451789029449369, 0.27521124467165531, 0.275933931008224, 0.27668809152412899, 0.27747610646624377, 0.27830062771714026, 0.27916461804558024, 0.28007139710766815, 0.28102469556105591, 0.28202871897497178, 0.28308822362556152, 0.28420860678643362, 0.28539601479360166, 0.2866574730314938, 0.28800104311842917, 0.28943601405845631, 0.29440593733810277, 0.30071241044497193, 0.30903122123252225, 0.32055837943198812, 0.33758995821282589, 0.36503936342716758, 0.41512081707972048, 0.52534722824163593, 0.84375230026931791, 1.4923987740438271, 0.64602307463471176, 0.33148783243517177, 0.26350075968683823, 0.24396873100218341, 0.23743897565329472, 0.23522164924461092, 0.23460409879188152, 0.23459745099453999, 0.23480529648121024, 0.23506114767041295, 0.2352955014604366, 0.23548197452179986, 0.23561378805649397, 0.23569292941044201, 0.23572497529864694, 0.23571658061562678, 0.23567427371942218, 0.23560390989684421, 0.2355104606799473, 0.23539797336168042, 0.23526961350761158, 0.23512774394364161, 0.23497401542106799, 0.2348094560188482, 0.23463455290803942, 0.23444932375069338, 0.23425337701128698, 0.23404596152971102, 0.23382600624413233, 0.23359215119681118, 0.23334277105140599, 0.23307599239200472, 0.23278970613306266, 0.23248157651134657, 0.23214904843144918, 0.23178935550126428, 0.23139953208530231, 0.23097643438575816, 0.23051677837467222, 0.2300172070987915, 0.22947440777554598, 0.22888531253366046, 0.22824743989093574, 0.22755947508388938, 0.22682226153334581, 0.22604051360210742, 0.22522582540041627, 0.22440207720061714, 0.22361543529886152, 0.22295352896225257, 0.22258390796861804, 0.22283554608299655, 0.2243838487202551, 0.22870843584935049, 0.23935729493189589, 0.26596560763982763, 0.33947251861055239, 0.57879615175051069, 1.296253861780877, 1.3562520835468528, 0.80447447608969136, 0.55820287817906256, 0.44833321260022874, 0.39076145901864451, 0.35654463022829674, 0.33426612255084587, 0.31874678688063157, 0.30736129019190922, 0.29865859006137357, 0.29177990539621235, 0.2861881486224721, 0.28153182618090411, 0.27757198968749841, 0.27414084903955099, 0.27111722893045143, 0.26841143745908402, 0.26595562371117898, 0.26369746085398693, 0.26159591781876779, 0.25961839334851738, 0.25773878200965572, 0.255936225343394, 0.25419442986061014, 0.25250154503176858, 0.25085072394629715, 0.24924168576605776, 0.24768395263024046, 0.24620313659959384, 0.24485315083751466, 0.24374062444773922, 0.24307609034988303, 0.24328838653128643, 0.2453022841148314, 0.25128756040418032, 0.2669788739679696, 0.31026969483103639, 0.45021978803365759, 0.95296134922530118, 1.299093451000161, 0.76489867637930609, 0.51948193253853259, 0.41827172736743673, 0.36794578966805075, 0.33902413168502066, 0.32063291231969165, 0.30806633538051997, 0.2990206068802076, 0.2922571464532886, 0.28706032656451674, 0.28299282357880667, 0.27977543062576488, 0.27722379391346585, 0.27521317926232652, 0.27365792986780924, 0.27249905583471074, 0.27169655830662465, 0.27122465662475831, 0.27106890685051949, 0.27117264986799033, 0.27148587384551504, 0.27201469680402329, 0.27276977419917203, 0.27376704077959935, 0.27502886675322036, 0.2765857721619166, 0.27847893018957576, 0.28076382874751266, 0.28351568960896978, 0.2868376392081099, 0.29087332751350675, 0.29582698869314061, 0.30199643657059366, 0.30982953680770781, 0.32002546492247791, 0.33372649361682105, 0.35290560785179925, 0.38121265986163339, 0.42599577212062323, 0.50362285281597863, 0.65432764036623836, 0.97040298121717372, 1.3793294506719396, 1.0051355028845712, 0.54362014654956103, 0.36542782116313005, 0.2973750754178815, 0.26810056721140324, 0.25432042720775366, 0.24751934344446425, 0.24416501611664021, 0.24263315768044494, 0.24211385433464314, 0.24217672291073589, 0.24258125625500382, 0.24318758060811838, 0.24391174475135746, 0.24470211754133586, 0.2455263677896049, 0.24636400832400351, 0.24720198771246588, 0.24803201129425609, 0.24884887408951775, 0.24964940194423002, 0.25043176704088005, 0.25119503869759174, 0.25193888481135579, 0.25266337135347272, 0.25336882663066307, 0.25405574889322019, 0.25472474330355838, 0.25537647901240679, 0.25601166015208116, 0.25663100656628252, 0.25723524143323523, 0.25782508384102787, 0.25840124499093364, 0.25896442713313811, 0.25951532464297888, 0.26005462686657094, 0.26058302253122745, 0.26110120564846717, 0.26160988295013071, 0.26210978300266519, 0.26260166725068457, 0.26308634335769304, 0.26356468134913497, 0.2640376332324515, 0.26450625698512065, 0.2649717460845078, 0.26543546612931601, 0.26589900060970928, 0.26636420857553156, 0.26683329790806887, 0.26730891923594696, 0.26779428742211747, 0.26829334024678081, 0.26881094781994413, 0.26935319199975571, 0.2699277436554311, 0.2705443785890862, 0.27121569293972003, 0.27195811033964234, 0.27279332355530261, 0.27375039618493763, 0.27486888943878507, 0.27620362039873669, 0.27783208903793982, 0.27986640749372826, 0.28247309453168512, 0.28590716735530186, 0.29057343448752376, 0.29714232486059777, 0.30678185727225765, 0.3216544919834583, 0.34606449775858988, 0.38930846081697668, 0.47288445742867796, 0.64280955339300405, 0.93392647602683387, 1.4390156572934563, 1.4854132864870651, 0.84859669307680341, 0.57426504408951651, 0.45752171653366019, 0.39885802993081748, 0.36539039210705238, 0.34448483051505302, 0.33052847390088813, 0.32073060950465188, 0.31357808069695575, 0.30819270876755039, 0.30403632038665207, 0.30076416217960045, 0.2981471668379807, 0.29602844234387204, 0.29429778161780823, 0.29287613748466751, 0.29170584618081358, 0.29074429170363153, 0.28995969855412868, 0.28932828112305004, 0.28883228270206451, 0.28845861466318962, 0.28819791311258797, 0.2880438965849359, 0.28799295096824262], [0.27219174892244785, 0.27233947110464568, 0.27278713702800061, 0.27354873859588585, 0.27464933224594545, 0.2761279888929084, 0.2780427258908898, 0.28047853795572586, 0.28356058754443036, 0.28747646730439363, 0.2925153102028889, 0.29914012804718049, 0.30813044578487064, 0.32088677949780392, 0.34014891611029691, 0.37192241520491132, 0.43158416617269563, 0.56759800174017305, 0.95420327160669882, 1.2589146897369519, 0.52646922565815046, 0.3158086007671696, 0.26413257690363851, 0.24856661797553406, 0.24373620438539512, 0.24275937538470682, 0.24333337880411629, 0.24457084292027939, 0.24609682415460205, 0.24774440002165266, 0.24943861740578291, 0.25114797077209905, 0.2528626626574535, 0.25458437467614242, 0.25632132567182814, 0.25808590680279309, 0.25989365229958356, 0.26176295994615462, 0.26371528679004375, 0.2657757055081294, 0.26797379956086065, 0.27034494109302321, 0.27293205696145717, 0.2757880618721919, 0.27897924104264288, 0.28259002305791664, 0.28672983771716137, 0.29154317615340336, 0.29722469518756434, 0.30404249128502109, 0.3123750223068677, 0.3227716359489714, 0.33605556430532335, 0.35350676688725569, 0.37720255421406118, 0.41068749680526778, 0.46037061221659631, 0.53860630385352981, 0.67063935208332603, 0.9078332738672078, 1.3179933995250586, 1.7009886729045307, 1.3943003724930216, 0.86022398215197537, 0.55999544134054369, 0.41511317661766362, 0.34150148467226449, 0.30115110023788333, 0.27754086485689583, 0.26301860155916806, 0.25377192324461534, 0.24777828836671717, 0.24391348797355702, 0.24153844720160458, 0.24029885953408819, 0.24002829193770303, 0.24070893085242659, 0.24247390150938003, 0.24565457094932319, 0.25089947690396625, 0.25943768774458553, 0.27367664023211541, 0.29866522432626086, 0.34606181718209195, 0.44620301309006033, 0.68673110264351012, 1.26546344868062, 1.7154813219717384, 1.150774938915879, 0.72391310563744149, 0.52880356861130295, 0.43243645845608847, 0.37890312881025112, 0.34620505731317702, 0.32473944414983102, 0.30984788513270811, 0.29906240375500304, 0.29097855095700786, 0.2847491305787887, 0.279837938301851, 0.27589170758185821, 0.27266966748004595, 0.27000289333850741, 0.26776986633548056, 0.26588124657289425, 0.26427008703837707, 0.2628853699568186, 0.26168763284175828, 0.26064594398741042, 0.25973577016475485, 0.25893744687333881, 0.25823506343343905, 0.25761563872518267, 0.25706850384888241, 0.25658483428557616, 0.25615729155385475, 0.25577974608902942, 0.2554470610956715, 0.25515492269576484, 0.2548997056156978, 0.2546783664508615, 0.25448835856469115, 0.25432756415351476, 0.25419424009920977, 0.25408697504872324, 0.25400465578023806, 0.25394644139510791, 0.2539117442523231, 0.25390021686739289, 0.25390211080791558, 0.25390779571429128, 0.25391728085075144, 0.25393058169041471, 0.25394771996461768, 0.2539687237323946, 0.25399362747056492, 0.25402247218498786, 0.25405530554369543, 0.25409218203276207, 0.25413316313592027, 0.2541783175390902, 0.25422772136120081, 0.25428145841280819, 0.25433962048432657, 0.2544023076658023, 0.2544696287005187, 0.25454170137492294, 0.25461865294772423, 0.25470062062133247, 0.25478775205918308, 0.25488020595297439, 0.25497815264424362, 0.25508177480532579, 0.2551912681853124, 0.25530684242732082, 0.25542872196417959, 0.25555714700051685, 0.25569237459026189, 0.25583467981970592, 0.25598435710762102, 0.25614172163542798, 0.25630711092216585, 0.25648088656101703, 0.25666343613646614, 0.25685517534387614, 0.25705655033636471, 0.25726804032753497, 0.25749016048282514, 0.25772346513727595, 0.25796855138330266, 0.2582260630789836, 0.25849669533550818, 0.25878119955208573, 0.25908038907808612, 0.25939514559591892, 0.25972642633456189, 0.26007527224343746, 0.26044281728015833, 0.26083029899463755, 0.26123907062723783, 0.26167061498171307, 0.26212656038661469, 0.26260869912412255, 0.26311900878631284, 0.26365967711988492, 0.26423313104710089, 0.26484207071048221, 0.26548950959154716, 0.26617882201277043, 0.26691379966472323, 0.26769871923109351, 0.26853842374599002, 0.26943842105625998, 0.27040500373986975, 0.27144539613940116, 0.27256793593475603, 0.27378230008458226, 0.27509978827924081, 0.27653368166338849, 0.27809970109394255, 0.27981659849486862, 0.28170692833581934, 0.28379806606486635, 0.28612356992956661, 0.28872502767085495, 0.29165459947206113, 0.29497857932246702, 0.29878247666296054, 0.30317841931540457, 0.30831619104298735, 0.31440012298622694, 0.3217157181065422, 0.33067305387332085, 0.34188032876471847, 0.35627420633184192, 0.37536325229431866, 0.40171149767859166, 0.43997123997760101, 0.49928173197784786, 0.59935624069875248, 0.7867376334973516, 1.1663922042506751, 1.7226533952719758, 1.4150458818976159, 0.73783586384338351, 0.44802845093801763, 0.33745738688269655, 0.29089988999598226, 0.26968294827493161, 0.25977060277563957, 0.25541711517149546, 0.25401526493687182, 0.25428101227524619, 0.25553968718121156, 0.25741789205942156, 0.2596998057316568, 0.26225567415609807, 0.26500420258583635, 0.26789179831455007, 0.27088060582112561, 0.27394133111970281, 0.27704878335204486, 0.28017902694216695, 0.28330754131142577, 0.28640805794399699, 0.28945189646321023, 0.29240770649451914, 0.29524156783703698, 0.29791742208197969, 0.30039781215542205, 0.30264489733221939, 0.30462169414196932, 0.3062934723819894, 0.30762921463011683, 0.30860303182703813, 0.30919542084908896, 0.3093942554815689, 0.30919542084909135, 0.30860303182704274, 0.30762921463011694, 0.3062934723819889, 0.30462169414197188, 0.30264489733221728, 0.30039781215542227, 0.2979174220819798, 0.29524156783703986, 0.29240770649452008, 0.2894518964632084, 0.2864080579439931, 0.28330754131142732, 0.28017902694216673, 0.27704878335204647, 0.27394133111970459, 0.27088060582112428, 0.26789179831454601, 0.2650042025858404, 0.26225567415610007, 0.2596998057316563, 0.25741789205942328, 0.25553968718121056, 0.25428101227524685, 0.25401526493687315, 0.25541711517149795, 0.2597706027756338, 0.26968294827494999, 0.29089988999599559, 0.3374573868826925, 0.44802845093819543, 0.73783586384332756, 1.415045881896976, 1.7226533952717205, 1.1663922042508608, 0.7867376334975057, 0.59935624069873961, 0.49928173197787856, 0.43997123997760113, 0.40171149767861225, 0.37536325229432188, 0.35627420633184098, 0.34188032876471919, 0.33067305387331708, 0.3217157181065402, 0.31440012298622388, 0.30831619104299113, 0.30317841931540696, 0.29878247666296243, 0.29497857932247068, 0.29165459947206113, 0.28872502767085095, 0.28612356992956489, 0.28379806606486896, 0.28170692833581967, 0.27981659849486767, 0.27809970109394211, 0.27653368166338749, 0.27509978827923914, 0.27378230008458088, 0.27256793593475448, 0.27144539613940133, 0.27040500373986975, 0.26943842105626081, 0.26853842374598991, 0.26769871923109412, 0.26691379966472317, 0.26617882201276966, 0.26548950959154632, 0.2648420707104831, 0.26423313104710072, 0.26365967711988442, 0.26311900878631334, 0.26260869912412338, 0.26212656038661569, 0.26167061498171307, 0.26123907062723761, 0.2608302989946375, 0.2604428172801575, 0.26007527224343741, 0.25972642633456272, 0.25939514559591825, 0.25908038907808523, 0.25878119955208534, 0.25849669533550834, 0.25822606307898388, 0.25796855138330288, 0.25772346513727545, 0.25749016048282425, 0.25726804032753492, 0.25705655033636488, 0.25685517534387592, 0.25666343613646558, 0.25648088656101686, 0.25630711092216629, 0.25614172163542825, 0.25598435710762013, 0.2558346798197057, 0.2556923745902609, 0.25555714700051663, 0.25542872196417976, 0.25530684242732093, 0.25519126818531196, 0.25508177480532551, 0.25497815264424312, 0.25488020595297411, 0.25478775205918403, 0.25470062062133214, 0.25461865294772518, 0.25454170137492349, 0.25446962870051892, 0.25440230766580207, 0.25433962048432701, 0.25428145841280941, 0.25422772136120053, 0.25417831753909081, 0.25413316313592016, 0.25409218203276218, 0.2540553055436956, 0.25402247218498769, 0.25399362747056475, 0.25396872373239487, 0.25394771996461729, 0.25393058169041494, 0.25391728085075183, 0.2539077957142919, 0.25390211080791564, 0.25390021686739178, 0.25390116374593763, 0.25390400482278502, 0.25390874142196701, 0.2539153757515204, 0.25392391090547123, 0.25393435086661703, 0.25394670051009904, 0.25396096560779435, 0.2539771528335219, 0.25399526976906084, 0.25401532491101397, 0.25403732767850645, 0.25406128842175096, 0.25408721843146986, 0.25411512994921764, 0.25414503617859896, 0.2541769512974153, 0.25421089047074913, 0.25424686986502437, 0.25428490666303777, 0.2543250190800358, 0.25436722638081261, 0.25441154889789069, 0.25445800805081881, 0.25450662636660237, 0.25455742750132443, 0.25461043626297908, 0.25466567863558748, 0.25472318180460979, 0.25478297418372647, 0.25484508544303941, 0.25490954653874254, 0.25497638974432696, 0.25504564868338364, 0.25511735836408944, 0.25519155521542153, 0.25526827712521477, 0.25534756348011955, 0.25542945520757793, 0.25551399481990456, 0.25560122646057021, 0.25569119595283896, 0.25578395085083616, 0.25587954049322575, 0.25597801605960396, 0.25607943062980004, 0.25618383924622695, 0.25629129897947522, 0.25640186899734796, 0.25651561063754635, 0.25663258748425055, 0.25675286544882669, 0.25687651285495633, 0.25700360052847104, 0.25713420189222741, 0.25726839306636534, 0.25740625297435737, 0.25754786345523584, 0.25769330938250318, 0.25784267879019696, 0.25799606300668182, 0.25815355679677587, 0.25831525851286724, 0.25848127025578271, 0.2586516980461851, 0.2588266520074245, 0.25900624656079763, 0.25919060063433369, 0.25937983788627583, 0.25957408694462014, 0.25977348166416242, 0.2599781614026978, 0.26018827131818778, 0.26040396268890997, 0.26062539325882977, 0.26085272761069428, 0.26108613756964172, 0.26132580264041394, 0.26157191048166417, 0.26182465742122391, 0.26208424901669092, 0.26235090066619754, 0.26262483827481592, 0.26290629898276918, 0.26319553196230389, 0.2634927992910398, 0.26379837691052166, 0.26411255567988279, 0.26443564253576834, 0.26476796177118977, 0.26510985644760499, 0.26546168995649672, 0.26582384774891427, 0.26619673925399612, 0.2665808000104537, 0.26697649403833612, 0.26738431648243127, 0.26780479656310796, 0.26823850087577639, 0.26868603708634409, 0.269148058077184, 0.26962526660671304, 0.27011842055549951, 0.27062833884362303, 0.27115590811777252, 0.27170209032298115, 0.27226793129337712, 0.27285457051951834, 0.27346325227769364, 0.27409533833993593, 0.27475232252372267, 0.27543584738896942, 0.2761477234491212, 0.27688995133523603, 0.27766474744039893, 0.27847457368062373, 0.27932217214302679, 0.28021060555939215, 0.28114330475233218, 0.28212412446392748, 0.28315740930851802, 0.28424807201319718, 0.28540168664868731, 0.28662460024763026, 0.28792406710682539, 0.28930841124436374, 0.2907872240269726, 0.29237160603081125, 0.29789858830490079, 0.30499953789185891, 0.31451290897421652, 0.32796125143703009, 0.34836849562655176, 0.38251201489716669, 0.44837151885813686, 0.60630962668705035, 1.097792448130666, 1.3193368715357339, 0.48784663559523833, 0.30115344005417727, 0.25612250908407097, 0.24219169235303714, 0.23738681799573341, 0.23577277811309613, 0.23537401592892929, 0.2354393417080182, 0.235659599941202, 0.23590338436539254, 0.23611620446471521, 0.23627835156292359, 0.23638605372188914, 0.23644262426993065, 0.2364541750504322, 0.2364275199549476, 0.2363691691680718, 0.23628487997237013, 0.23617949415438397, 0.2360569212311413, 0.23592019243718979, 0.23577154501165942, 0.23561251506165293, 0.23544402764159528, 0.23526647849216437, 0.23507980513765858, 0.23488354684291915, 0.23467689389561217, 0.23445872716309224, 0.23422764908769841, 0.23398200736198005, 0.23371991255374197, 0.23343925099537607, 0.23313769437325541, 0.23281270771986248, 0.23246155801936808, 0.23208132653164468, 0.23166892945428402, 0.23122115406509275, 0.23073472167673456, 0.23020639572860946, 0.22963316514765186, 0.22901255335759621, 0.22834313872248632, 0.22762543556328868, 0.22686340130408694, 0.22606705588074769, 0.22525713241526168, 0.22447356272105609, 0.22379149550788993, 0.2233528298688445, 0.22343158329164192, 0.22457834038985366, 0.22796598240900448, 0.23630515821033615, 0.25660318858820202, 0.30995903435488742, 0.47300688229711552, 1.0223776421854658, 1.5654761192647006, 0.9724507767656424, 0.62965062637426261, 0.48385789581258365, 0.41139939049060648, 0.36998404068200824, 0.34377706695052718, 0.32590965460423871, 0.31301992431152437, 0.30330013524609589, 0.29570363906627356, 0.28958746927464962, 0.2845370580244877, 0.28027411091406745, 0.27660532402644145, 0.27339242353468529, 0.27053392947004312, 0.26795366068138776, 0.26559327175881603, 0.26340729059623497, 0.26135976423210788, 0.25942198379640241, 0.25757097824397568, 0.25578861156097804, 0.25406123236184269, 0.25237994262375585, 0.25074171468292539, 0.24915186144911156, 0.2476288943453438, 0.24621390234551643, 0.24498901717316068, 0.24411527791036403, 0.24391485771083415, 0.24506345437982877, 0.24908569463263278, 0.2597993942937889, 0.28826844967967308, 0.37362835551467904, 0.68210984144090281, 1.3755669214674382, 0.96502792331537834, 0.59497413063677551, 0.45154310399249098, 0.38556882340047216, 0.3496847933870742, 0.32772750699325953, 0.31313453832634863, 0.30284403590361986, 0.29526900378875115, 0.28951817838188465, 0.28505899620131736, 0.28155751177524829, 0.2787964179607465, 0.27663041378723624, 0.27496067006455072, 0.27371964428206547, 0.27286180994308984, 0.27235795182416023, 0.27219174892244785, 0.27230244937469117, 0.27263680360143366, 0.27320172709217744, 0.27400928662869672, 0.27507757824122764, 0.27643210247661476, 0.27810781744504864, 0.28015216180777552, 0.28262952089416654, 0.28562791427921513, 0.28926921645902581, 0.29372518954413512, 0.29924343336012471, 0.30619096589727118, 0.31513064593538892, 0.32696217693829194, 0.34319839628255844, 0.36654680830785047, 0.40224205029789523, 0.46141114987733417, 0.57039823640392884, 0.79570229068755871, 1.2330065106289985, 1.3094525350404933, 0.72344698156540699, 0.43057397953005211, 0.32365056151427035, 0.28027006683355576, 0.26062078670130523, 0.25108695634103645, 0.24634849004637147, 0.24407145331339361, 0.24313377461206531, 0.24295589494784853, 0.24322106430476706, 0.24374823686585523, 0.2444301912706871, 0.24520163390060765, 0.24602195132858001, 0.24686549884762815, 0.24771594034493535, 0.24856285031424222, 0.24939962121295059, 0.25022214600672915, 0.2510279728237983, 0.25181575360675862, 0.25258487949111702, 0.25333523687753662, 0.25406704274835484, 0.25478073275217128, 0.25547688487966008, 0.25615616743224923, 0.25681930376275036, 0.25746704873091597, 0.25810017344752811, 0.25871945597475376, 0.25932567639546478, 0.25991961517957901, 0.26050205413908528, 0.26107377952672228, 0.26163558703097467, 0.26218828857629972, 0.26273272096984435, 0.26326975655767143, 0.2638003161760416, 0.26432538481723639, 0.26484603058581929, 0.26536342771307297, 0.26587888464095522, 0.26639387850369911, 0.26691009775468677, 0.26742949524929488, 0.26795435486001917, 0.26848737575270382, 0.26903177991640709, 0.26959145059876599, 0.27017111223149848, 0.27077656666181632, 0.27141500669489049, 0.27209543714256246, 0.27282924744062459, 0.27363100119142669, 0.27451954131864159, 0.27551956279070483, 0.27666389198538122, 0.27799685789240997, 0.27957939243992541, 0.28149694595803343, 0.28387213103606412, 0.2868855943772371, 0.29081179657394168, 0.29608308385920612, 0.30341038762958478, 0.31402436341920348, 0.33019045702119015, 0.35638910454750944, 0.40215319989284004, 0.48810651407655981, 0.6412813887495864, 0.74732123861313893, 0.67305195290404807, 0.95925780612916767, 1.5902878410234809, 1.0177145916772172, 0.64234847315761689, 0.49065681876569101, 0.41844828077836654, 0.37863424919550759, 0.35428189251022935, 0.33824070295550629, 0.32707881815685941, 0.31898049731904565, 0.3129099908835597, 0.30824037319290243, 0.30457365074324533, 0.30164714992801495, 0.29928186832026166, 0.29735255190010773, 0.29576962831931769, 0.29446790767795961, 0.29339929995277553, 0.29252800001820078, 0.29182723669703492, 0.29127704265237547, 0.29086271027025684, 0.29057372312134772, 0.29040302938219714, 0.29034657275050624], [0.27358068042470429, 0.27373882873020833, 0.27421836009692657, 0.27503511558428617, 0.27621754785891378, 0.27781022475948491, 0.27987973395553467, 0.2825244003667734, 0.28589046025432641, 0.29019980608487161, 0.29579969353930918, 0.30325689262784972, 0.31354882409077151, 0.3284866956258834, 0.35176113634378914, 0.39192149044839686, 0.47258410856364669, 0.67508359707701082, 1.2278558640289703, 0.94529188684089849, 0.41193745177833718, 0.29041931273038152, 0.2576180485318269, 0.24728134107076569, 0.24421978186717913, 0.24391814469393375, 0.24476681745445597, 0.2461179389348826, 0.24768971211674318, 0.24935468956546133, 0.25105575201990726, 0.25276987266245565, 0.25449149390465858, 0.25622457634702683, 0.25797873210497324, 0.25976739855999847, 0.26160710106945984, 0.26351735291164113, 0.26552098500916116, 0.26764482855698213, 0.26992075467187432, 0.27238713876176929, 0.27509088316730568, 0.27809021649221344, 0.28145861219924123, 0.28529036341798608, 0.28970866815027951, 0.29487761421165953, 0.30102038501889833, 0.30844768464293076, 0.31760351196002834, 0.3291415007199307, 0.34405741752240604, 0.36392984827788227, 0.39138070505307654, 0.43100912688619947, 0.49140616457923336, 0.58973741869379082, 0.76206093124044738, 1.0782657338188539, 1.5653115805137756, 1.6965558263679235, 1.1406806772437457, 0.69420847959515597, 0.47664757025264876, 0.37156537883935919, 0.31676844311379954, 0.28595730773404293, 0.26755519931481869, 0.25605782263285598, 0.24865129024331495, 0.24380914761672126, 0.24066721519925727, 0.23872698973218207, 0.23770891565997349, 0.23748032898462382, 0.23802598406014733, 0.23944980892579512, 0.24201040202759358, 0.24620926497693113, 0.25298271839068986, 0.26412722976697312, 0.28330985666904657, 0.31871737556480328, 0.39088194381225205, 0.5584709103786466, 0.99136170782901423, 1.7195189445270269, 1.4156280021232566, 0.84887544705754636, 0.58430972170375395, 0.46072643773645383, 0.39525647207995557, 0.35663813180242543, 0.33192680890304532, 0.31510967142984392, 0.30310792647205431, 0.29421602215225873, 0.28742705685195652, 0.2821148239293968, 0.27787269552544702, 0.27442687420141032, 0.27158722837047561, 0.26921818160805988, 0.26722081323449998, 0.2655214852214578, 0.26406440483955268, 0.26280663580120567, 0.26171467529168657, 0.26076205742446223, 0.25992764457083178, 0.25919438899276892, 0.25854842191937488, 0.25797837441568638, 0.25747486485182408, 0.25703010781226487, 0.25663761269255908, 0.25629194935139521, 0.25598856448453783, 0.25572363679857335, 0.25549396219339537, 0.25529686241303945, 0.25513011226243759, 0.25499188169462961, 0.25488068997393876, 0.25479536980274314, 0.25473503982448847, 0.25469908432789667, 0.25468713930945758, 0.25468910181279086, 0.25469499254902483, 0.25470482120725307, 0.25471860397064922, 0.2547363635687383, 0.25475812935102676, 0.25478393738248262, 0.25481383056146334, 0.25484785876086063, 0.25488607899338223, 0.25492855560205469, 0.25497536047720654, 0.25502657330141137, 0.2550822818240126, 0.25514258216718672, 0.2552075791656217, 0.25527738674228112, 0.25535212832293946, 0.25543193729256419, 0.25551695749696968, 0.25560734379357664, 0.25570326265562893, 0.25580489283466679, 0.25591242608671583, 0.25602606796828908, 0.25614603870904984, 0.25627257416885707, 0.25640592688787917, 0.25654636723958735, 0.25669418469768512, 0.25684968922951951, 0.25701321283016482, 0.25718511121330917, 0.25736576567728819, 0.25755558516717914, 0.2577550085568624, 0.25796450717840136, 0.25818458763016006, 0.25841579489977423, 0.25865871584368821, 0.25891398307143876, 0.25918227929060711, 0.25946434217746606, 0.25976096984918112, 0.26007302702632851, 0.26040145198995135, 0.26074726445589019, 0.26111157451150768, 0.2614955927869177, 0.26190064206573999, 0.2623281705804586, 0.262779767286621, 0.26325717947066407, 0.26376233312105418, 0.26429735658565895, 0.26486460815481261, 0.26546670835617564, 0.26610657793298781, 0.26678748271344105, 0.26751308688148873, 0.26828751654978189, 0.2691154360426693, 0.27000213996138661, 0.27095366498036261, 0.27197692649072003, 0.27307988677510492, 0.27427176352488558, 0.2755632904253365, 0.27696704557266238, 0.27849786914723335, 0.28017339980286693, 0.28201477079338849, 0.28404752373669578, 0.28630282295011905, 0.28881909105824, 0.29164424462303729, 0.29483879959826947, 0.29848026244745168, 0.30266946281189666, 0.30753988904744944, 0.31327179369288044, 0.32011410657903411, 0.3284195693693035, 0.33870314296989357, 0.35174324233835214, 0.36876593769789667, 0.39179976710034992, 0.42440660929257096, 0.47331013238036845, 0.55235803410514162, 0.69296450079873928, 0.97052637089973903, 1.5038400882458718, 1.7738604321978635, 1.0419887762291251, 0.56644275294345781, 0.38567117855065852, 0.31302029982118379, 0.28083386189614118, 0.26576620275965407, 0.25877384992495939, 0.25593503198817541, 0.25538585089492843, 0.256174019942989, 0.25778431189469792, 0.25992473429072355, 0.26242313994030331, 0.26517416343267103, 0.26811054326670092, 0.27118689016202419, 0.27437009870764051, 0.27763345083499325, 0.28095285433949668, 0.2843043741367009, 0.28766259556504281, 0.29099957045300634, 0.29428421675441546, 0.29748211060910068, 0.30055564559850634, 0.30346454800829131, 0.3061667347709322, 0.30861948632337877, 0.31078088353439542, 0.31261143038415107, 0.31407575725046416, 0.31514427894473201, 0.31579467215092, 0.31601304236470168, 0.31579467215092288, 0.31514427894473729, 0.31407575725046416, 0.3126114303841504, 0.31078088353439837, 0.30861948632337616, 0.30616673477093242, 0.30346454800829142, 0.30055564559850911, 0.29748211060910174, 0.2942842167544133, 0.29099957045300207, 0.28766259556504464, 0.28430437413670073, 0.28095285433949846, 0.27763345083499502, 0.27437009870763934, 0.27118689016201991, 0.26811054326670514, 0.26517416343267342, 0.2624231399403027, 0.25992473429072532, 0.25778431189469686, 0.25617401994298966, 0.2553858508949296, 0.2559350319881773, 0.25877384992495506, 0.26576620275966789, 0.28083386189615089, 0.31302029982118107, 0.38567117855077054, 0.56644275294342306, 1.0419887762286091, 1.773860432197959, 1.503840088246069, 0.97052637089997618, 0.69296450079872374, 0.5523580341051838, 0.47331013238037078, 0.42440660929259799, 0.39179976710035375, 0.36876593769789584, 0.35174324233835352, 0.33870314296988918, 0.32841956936930122, 0.32011410657903061, 0.31327179369288449, 0.307539889047452, 0.30266946281189883, 0.2984802624474559, 0.2948387995982697, 0.2916442446230329, 0.28881909105823811, 0.2863028229501221, 0.28404752373669617, 0.28201477079338749, 0.28017339980286637, 0.27849786914723235, 0.27696704557266072, 0.27556329042533506, 0.2742717635248838, 0.27307988677510514, 0.27197692649071986, 0.27095366498036333, 0.2700021399613865, 0.26911543604267002, 0.26828751654978189, 0.26751308688148789, 0.26678748271344005, 0.26610657793298875, 0.26546670835617547, 0.26486460815481216, 0.26429735658565956, 0.26376233312105507, 0.26325717947066513, 0.26277976728662084, 0.26232817058045826, 0.26190064206573982, 0.2614955927869167, 0.26111157451150774, 0.26074726445589097, 0.26040145198995074, 0.26007302702632779, 0.25976096984918062, 0.25946434217746617, 0.25918227929060744, 0.25891398307143887, 0.25865871584368777, 0.25841579489977329, 0.25818458763015989, 0.25796450717840153, 0.25775500855686212, 0.25755558516717847, 0.25736576567728797, 0.25718511121330956, 0.25701321283016509, 0.25684968922951851, 0.25669418469768474, 0.25654636723958629, 0.25640592688787872, 0.25627257416885724, 0.25614603870904995, 0.25602606796828858, 0.25591242608671555, 0.25580489283466623, 0.2557032626556287, 0.25560734379357758, 0.25551695749696934, 0.25543193729256514, 0.25535212832294002, 0.2552773867422814, 0.25520757916562142, 0.2551425821671871, 0.25508228182401388, 0.25502657330141099, 0.25497536047720737, 0.25492855560205452, 0.25488607899338239, 0.25484785876086086, 0.25481383056146306, 0.25478393738248251, 0.2547581293510271, 0.2547363635687378, 0.25471860397064944, 0.25470482120725352, 0.25469499254902539, 0.25468910181279097, 0.25468713930945647, 0.25468812046531003, 0.25469106439558681, 0.25469597248886949, 0.25470284706087709, 0.25471169135660099, 0.25472250955329817, 0.25473530676433526, 0.25475008904391511, 0.25476686339267779, 0.254785637764182, 0.25480642107229146, 0.25482922319946633, 0.25485405500598773, 0.25488092834010928, 0.25490985604917948, 0.25494085199173522, 0.25497393105059735, 0.25500910914698482, 0.25504640325568495, 0.25508583142128061, 0.25512741277550738, 0.25517116755572788, 0.25521711712458034, 0.25526528399084475, 0.25531569183154673, 0.25536836551535996, 0.25542333112733379, 0.25548061599502664, 0.2555402487160589, 0.25560225918716667, 0.2556666786348189, 0.25573353964744744, 0.25580287620936915, 0.2558747237364698, 0.25594911911374474, 0.25602610073475263, 0.25610570854310716, 0.25618798407607679, 0.25627297051042269, 0.2563607127105762, 0.25645125727926665, 0.25654465261077025, 0.25664094894687112, 0.2567401984357332, 0.25684245519381332, 0.25694777537102326, 0.25705621721931315, 0.25716784116489089, 0.25728270988430785, 0.25740088838464908, 0.25752244408810593, 0.25764744692120173, 0.25777596940900138, 0.25790808677463622, 0.25804387704452375, 0.25818342115967818, 0.25832680309357536, 0.25847410997702114, 0.25862543223059759, 0.25878086370523146, 0.2589405018315396, 0.25910444777864849, 0.25927280662324359, 0.25944568752971814, 0.25962320394231808, 0.25980547379034252, 0.25999261970749787, 0.26018476926668921, 0.26038205523159463, 0.26058461582658687, 0.26079259502666952, 0.26100614286932339, 0.26122541579034858, 0.26145057698602248, 0.26168179680415515, 0.26191925316692277, 0.26216313202869684, 0.26241362787243577, 0.26267094424866616, 0.26293529436152063, 0.26320690170686956, 0.26348600076817452, 0.26377283777637583, 0.26406767154096616, 0.26437077436020273, 0.26468243301953487, 0.26500294988838685, 0.26533264412683388, 0.26567185301516505, 0.26602093342111344, 0.26638026342146864, 0.2667502440971139, 0.26713130152313591, 0.26752388897869495, 0.26792848940486252, 0.26834561814264113, 0.26877582598818917, 0.26921970260764533, 0.26967788036039392, 0.27015103858710787, 0.27063990842755742, 0.27114527824358631, 0.27166799973463662, 0.27220899484762756, 0.27276926359988224, 0.27334989295400058, 0.27395206690764551, 0.2745770779899685, 0.27522634039103427, 0.27590140499230276, 0.27660397661672975, 0.27733593387835642, 0.27809935208621966, 0.27889652974912893, 0.27973001934092007, 0.28060266312560611, 0.28151763501570654, 0.28247848965433586, 0.2834892201846605, 0.28455432651540991, 0.28567889632968918, 0.28686870164557238, 0.28813031445914544, 0.28947124593733786, 0.29090011485055373, 0.29242685254404455, 0.29406295388057835, 0.29582178644119478, 0.30200519268779386, 0.31005739378950076, 0.32103047245125244, 0.33689001208699848, 0.36169067141155331, 0.4050069690956834, 0.49418209921197082, 0.72988739655653223, 1.428809223829258, 0.95558707705549373, 0.39686886453254167, 0.2822137736315849, 0.25143518066794257, 0.2413311835205042, 0.23777487087279292, 0.23661060057735536, 0.23637499846197763, 0.23649068942764759, 0.23671472038563807, 0.23694303777392653, 0.2371330982461996, 0.2372705868067484, 0.23735418772604056, 0.23738830347616205, 0.23737948328256117, 0.23733466463596073, 0.23726033165510627, 0.2371621471003437, 0.2370448303785064, 0.23691216107381094, 0.23676704295737941, 0.23661159305243179, 0.23644723660749109, 0.23627479795163361, 0.23609458237402359, 0.23590644709595704, 0.23570986103396555, 0.23550395392675755, 0.23528755583402503, 0.23505922820322284, 0.23481728776187022, 0.23455982450876978, 0.23428471510847704, 0.23398963309536563, 0.23367205752965148, 0.23332928220426583, 0.23295842830843291, 0.23255646481921993, 0.23212024315826499, 0.23164655639290746, 0.23113223946641179, 0.23057433733886151, 0.22997038560027772, 0.22931887874636869, 0.22862005555262305, 0.22787722954031467, 0.2270990769284936, 0.22630365127286253, 0.22552561157983605, 0.22482965965059967, 0.22433652438344873, 0.22427569674784292, 0.22509901905372343, 0.22774413417906811, 0.2343050986851028, 0.24995445362161756, 0.2893531426830222, 0.40222225976336595, 0.78123975416763924, 1.5885852039332586, 1.203575384212259, 0.72934471777570575, 0.53064938035945364, 0.43740281801474012, 0.38641487998545898, 0.35517349617554478, 0.3343792077175155, 0.31965358785174686, 0.30871258360532516, 0.30026520890320468, 0.29353369907222177, 0.28802457751988886, 0.2834110367975563, 0.27946869641586108, 0.27603867005023031, 0.27300539178563421, 0.27028280210492195, 0.26780546723512927, 0.26552271962821794, 0.26339471567143985, 0.26138975826143257, 0.25948249745945701, 0.25765279097545307, 0.25588512877417036, 0.25416863860350042, 0.25249782800266063, 0.25087443751712069, 0.2493111831094274, 0.24783897831224372, 0.24652097779544349, 0.24548080785777329, 0.24496227408321614, 0.24546444111840254, 0.24807487241215428, 0.25538888029736145, 0.27444378120056317, 0.32804217555689141, 0.50830816668343815, 1.1321196754061689, 1.2380212413384586, 0.71046380631398842, 0.49822051582202792, 0.40870719877315781, 0.36309165210979721, 0.3364109737079603, 0.31923771825412195, 0.30740842764740323, 0.29885269543397064, 0.29244421154249295, 0.28752655617362971, 0.28369622224552821, 0.28069480564902677, 0.27835174810763968, 0.27655224648140209, 0.27521849179806118, 0.2742983752592198, 0.27375861615012997, 0.27358068042470429, 0.27369918946680794, 0.27405727304269439, 0.27466278641183661, 0.27552946382720434, 0.27667796476685175, 0.27813752183963764, 0.2799484187770242, 0.28216567216305649, 0.28486452973763376, 0.2881488082717214, 0.29216382451396355, 0.29711702580993982, 0.3033120433908163, 0.31120720099087362, 0.32152089771904341, 0.33543230080627173, 0.3549897443127098, 0.3840101934516148, 0.43025378103311496, 0.51124507246604378, 0.67090961968064855, 1.0120112054395993, 1.4361945069368385, 0.99850046698063522, 0.53603782560759217, 0.36346244261411648, 0.29770460541853033, 0.26932943105702406, 0.25592927463345638, 0.24930182737794027, 0.24603331525313621, 0.24454815793800588, 0.24405791327216209, 0.24414218309013569, 0.2445652750837114, 0.24518968000073374, 0.24593260392756761, 0.24674296267732754, 0.2475886598839841, 0.24844928481080181, 0.24931178520370134, 0.25016783177916252, 0.25101217454748392, 0.25184159650646565, 0.25265423574306228, 0.25344913954934406, 0.2542259674037024, 0.25498479107168465, 0.25572595902531525, 0.256450004044044, 0.25715758017721485, 0.25784941991609156, 0.25852630544957383, 0.25918904986840186, 0.25983848551164335, 0.26047545754950402, 0.26110082151650532, 0.2617154439444464, 0.26232020555832236, 0.26291600673272952, 0.26350377509032225, 0.26408447527853474, 0.26465912110204215, 0.26522879032937491, 0.26579464264500913, 0.26635794139584451, 0.26692007999784306, 0.26748261414291113, 0.26804730130199605, 0.26861614949040769, 0.2691914778915212, 0.26977599278996123, 0.27037288343961979, 0.27098594412276389, 0.27161973094899217, 0.27227976520541869, 0.27297279977434502, 0.27370717201605704, 0.27449327673368507, 0.27534420826647343, 0.27627664447595918, 0.27731208257288048, 0.27847859629535165, 0.27981338165266006, 0.28136652298463982, 0.28320669638126045, 0.28543003859678506, 0.28817435932995528, 0.29164271395124042, 0.29614408554389948, 0.30216690683108594, 0.31051926392482193, 0.3226134596559313, 0.34108575827379201, 0.37124633964786274, 0.42459527027350114, 0.52551280335038353, 0.69047353027784908, 0.71039951670865431, 0.50886295924707159, 0.45651660699125712, 0.67682704673860516, 1.4438061045362465, 1.2847897146855112, 0.75603238970476749, 0.54159678085184859, 0.44633360861431848, 0.39638099104896074, 0.36683420861337851, 0.34780872320426487, 0.33477901238380164, 0.32543325032604786, 0.31848697449672142, 0.3131781412850746, 0.30903040704289786, 0.30573316980250814, 0.3030767837294629, 0.30091567179098805, 0.29914636897021579, 0.29769395084017386, 0.29650337168826968, 0.29553378415686055, 0.2947547300617393, 0.29414354211200222, 0.29368355324646694, 0.29336286214522628, 0.29317349627749539, 0.29311087273104625], [0.27501227141755136, 0.27518199570202428, 0.27569694223547364, 0.27657512134966777, 0.27784898693160032, 0.27956962446959283, 0.28181387065067698, 0.28469616546454107, 0.2883885654124087, 0.29315568366931144, 0.29941863979035321, 0.30787938452250363, 0.31978134298216343, 0.33751027444585446, 0.36615859392192085, 0.41829750656989173, 0.53177890048961851, 0.84586063604114159, 1.3956545868837849, 0.65734678410323166, 0.3473849752799773, 0.27496475434567247, 0.25368750820424063, 0.24684400823887007, 0.24503423906087674, 0.24522755151075767, 0.24628147455563978, 0.24771814891954769, 0.2493244739120439, 0.25100297954427536, 0.25271041552501616, 0.25443049861121597, 0.25616113902446225, 0.25790824620604436, 0.25968271129096415, 0.26149901844958118, 0.26337475486756029, 0.26533067294450219, 0.26739115192433016, 0.26958501492035913, 0.27194673048118417, 0.27451809183687165, 0.27735053988431518, 0.28050839567995933, 0.28407341885644893, 0.28815134888349159, 0.29288148467622793, 0.29845104030816239, 0.30511722094643612, 0.31324217199249033, 0.32335015766310798, 0.33622467397467282, 0.35308059511596723, 0.37588465606355392, 0.40798638996610909, 0.45544009624997883, 0.52995767400728044, 0.65580449203570179, 0.88469286224166133, 1.3014824344363221, 1.7721751822288212, 1.5100809580438361, 0.90830674918015009, 0.57293198653045962, 0.41670547910271039, 0.33958672970284598, 0.29820564650739662, 0.27436764391113777, 0.25986080498489833, 0.25066859647802586, 0.24468510226429757, 0.24074344368278186, 0.23817150892062447, 0.23657623249636014, 0.23573480094931698, 0.23554044070284869, 0.23598004650641671, 0.23713553673167814, 0.23921081799122557, 0.24259809043669883, 0.24801966548091248, 0.2568352196669943, 0.27175118174908974, 0.29861804054641811, 0.35154998867714204, 0.46953180504513059, 0.77288363554889916, 1.4977887798047762, 1.7005963604041971, 1.0234056239631295, 0.65823422669257947, 0.49627045318912821, 0.41490897501478474, 0.36876998194034333, 0.34007918275303251, 0.32096382352270841, 0.3075403132527415, 0.29771918032814904, 0.29029516468713679, 0.28453262690848508, 0.27996118259342906, 0.27626814481592643, 0.27323871525259069, 0.27072113671654963, 0.26860555956383764, 0.26681077255276392, 0.26527561515081616, 0.26395326930105983, 0.26280737430525147, 0.26180932614275526, 0.26093636426581091, 0.26017019296140742, 0.25949597250494971, 0.2589015705554833, 0.25837699960338495, 0.25791398937635329, 0.25750565846957391, 0.25714625985410977, 0.25683098205320859, 0.25655579274910567, 0.25631731509618405, 0.2561127295309541, 0.25593969569197345, 0.25579629040076152, 0.25568095864986007, 0.25559247529496371, 0.25552991572394629, 0.25549263422642526, 0.25548024914955464, 0.25548228385801525, 0.25548839136029794, 0.2554985817981269, 0.25551287211116458, 0.25553128609246029, 0.25555385446655954, 0.25558061499080681, 0.25561161258048137, 0.25564689945859631, 0.25568653533134772, 0.25573058759038614, 0.25577913154325999, 0.25583225067363119, 0.25589003693300794, 0.25595259106610396, 0.25602002297206938, 0.25609245210425491, 0.2561700079114157, 0.25625283032367635, 0.25634107028696329, 0.25643489035005662, 0.25653446530897239, 0.25663998291388396, 0.25675164464450312, 0.25686966656054611, 0.25699428023472859, 0.25712573377669273, 0.25726429295732944, 0.25741024244419214, 0.25756388716007345, 0.25772555377845446, 0.25789559237135229, 0.25807437822723478, 0.25826231385912179, 0.25845983122583627, 0.25866739419269397, 0.25888550126174537, 0.25911468860621029, 0.25935553344898871, 0.25960865783136589, 0.25987473282528151, 0.26015448325119317, 0.26044869297378714, 0.26075821085997597, 0.26108395749815139, 0.26142693279511953, 0.26178822458808931, 0.26216901843445395, 0.26257060877278415, 0.26299441168591764, 0.2634419795427676, 0.26391501785172589, 0.26441540472801617, 0.26494521346352767, 0.26550673879523301, 0.26610252760317316, 0.26673541493922431, 0.2674085665039112, 0.2681255289645128, 0.26889028986262309, 0.26970734931898221, 0.27058180634305279, 0.27151946334335592, 0.27252695348022327, 0.27361189690117171, 0.27478309378758109, 0.27605076471667489, 0.27742685239221493, 0.27892540374534414, 0.28056305838858281, 0.28235967938688128, 0.28433917677966991, 0.28653059558726601, 0.28896957190646927, 0.29170030925015583, 0.29477830269695043, 0.29827415807400437, 0.30227904775861958, 0.30691266866414657, 0.31233512372112027, 0.31876513243957633, 0.3265087829560841, 0.33600649134857125, 0.34791274343023892, 0.36323775771565847, 0.38361278666023163, 0.41181876294967223, 0.45291942052701889, 0.51690328045484546, 0.62541218499394646, 0.82970060391960587, 1.2440901546475236, 1.8297580588015037, 1.4643814121172121, 0.76014011517193525, 0.46113716305871699, 0.34589007766331969, 0.29680009463082052, 0.27415627047058705, 0.26341787886316664, 0.25858577570365032, 0.25691949909738243, 0.25706166746655196, 0.25829570664606938, 0.26022367641907418, 0.26261525996024149, 0.2653322645503709, 0.26828872958414735, 0.27142879218094002, 0.27471383955211109, 0.27811472245476365, 0.28160683335099812, 0.2851668714650285, 0.28877065165259364, 0.29239160669427089, 0.29599979884846028, 0.29956135312072174, 0.30303828015281664, 0.30638868512507078, 0.30956736772349852, 0.31252681093402601, 0.31521853611736306, 0.31759477185242047, 0.31961034896130608, 0.32122469978863555, 0.32240381283764674, 0.32312198062871511, 0.32336318387978497, 0.32312198062871811, 0.32240381283765296, 0.32122469978863527, 0.31961034896130558, 0.31759477185242369, 0.3152185361173605, 0.31252681093402612, 0.3095673677234988, 0.30638868512507389, 0.30303828015281753, 0.29956135312071941, 0.29599979884845579, 0.29239160669427289, 0.28877065165259325, 0.28516687146503045, 0.28160683335100017, 0.27811472245476243, 0.27471383955210682, 0.27142879218094462, 0.26828872958414979, 0.26533226455037023, 0.2626152599602436, 0.2602236764190729, 0.25829570664606982, 0.2570616674665529, 0.25691949909738387, 0.25858577570364732, 0.2634178788631768, 0.27415627047059438, 0.29680009463081963, 0.34589007766339419, 0.46113716305869246, 0.76014011517159674, 1.4643814121176342, 1.8297580588015163, 1.2440901546478593, 0.82970060391957945, 0.62541218499400331, 0.51690328045484968, 0.45291942052705281, 0.4118187629496764, 0.38361278666023113, 0.36323775771565975, 0.34791274343023382, 0.33600649134856891, 0.32650878295608032, 0.31876513243958082, 0.31233512372112321, 0.30691266866414901, 0.30227904775862408, 0.29827415807400437, 0.29477830269694555, 0.29170030925015378, 0.28896957190647249, 0.28653059558726635, 0.28433917677966897, 0.28235967938688061, 0.28056305838858175, 0.27892540374534225, 0.27742685239221326, 0.27605076471667306, 0.2747830937875812, 0.27361189690117166, 0.27252695348022388, 0.27151946334335586, 0.27058180634305357, 0.26970734931898221, 0.26889028986262209, 0.26812552896451181, 0.2674085665039122, 0.26673541493922415, 0.26610252760317277, 0.26550673879523362, 0.26494521346352862, 0.26441540472801733, 0.26391501785172572, 0.2634419795427671, 0.26299441168591753, 0.26257060877278315, 0.26216901843445395, 0.26178822458809015, 0.26142693279511886, 0.26108395749815055, 0.26075821085997547, 0.26044869297378731, 0.26015448325119345, 0.25987473282528178, 0.25960865783136533, 0.25935553344898771, 0.25911468860621006, 0.25888550126174531, 0.25866739419269369, 0.2584598312258356, 0.25826231385912157, 0.25807437822723517, 0.25789559237135251, 0.25772555377845352, 0.25756388716007317, 0.25741024244419125, 0.25726429295732911, 0.2571257337766929, 0.2569942802347287, 0.25686966656054566, 0.2567516446445029, 0.2566399829138834, 0.25653446530897223, 0.25643489035005751, 0.2563410702869629, 0.25625283032367729, 0.2561700079114162, 0.25609245210425513, 0.25602002297206911, 0.25595259106610452, 0.25589003693300927, 0.25583225067363091, 0.25577913154326076, 0.25573058759038592, 0.25568653533134789, 0.25564689945859648, 0.25561161258048121, 0.25558061499080664, 0.25555385446655987, 0.25553128609245962, 0.2555128721111648, 0.25549858179812723, 0.25548839136029849, 0.25548228385801536, 0.25548024914955347, 0.25548126640361352, 0.2554843186515206, 0.25548940735092152, 0.25549653493275115, 0.2555057048035328, 0.25551692134860143, 0.25553018993624377, 0.25554551692279004, 0.25556290965864836, 0.25558237649528631, 0.25560392679319416, 0.25562757093081956, 0.2556533203145141, 0.25568118738947931, 0.25571118565176587, 0.25574332966132118, 0.25577763505612416, 0.25581411856742348, 0.25585279803612421, 0.25589369243031873, 0.25593682186405076, 0.2559822076172909, 0.25602987215719542, 0.25607983916069016, 0.25613213353840769, 0.25618678146004159, 0.25624381038115485, 0.25630324907152296, 0.25636512764503805, 0.25642947759126067, 0.25649633180868764, 0.25656572463979821, 0.25663769190796409, 0.2567122709563025, 0.25678950068858153, 0.25686942161224102, 0.25695207588367147, 0.2570375073558287, 0.25712576162833534, 0.25721688610017984, 0.2573109300251466, 0.25740794457016269, 0.25750798287667198, 0.25761110012526139, 0.25771735360368481, 0.25782680277852765, 0.25793950937070237, 0.25805553743502752, 0.25817495344414576, 0.25829782637706078, 0.25842422781260443, 0.25855423202814887, 0.25868791610393949, 0.25882536003343037, 0.25896664684005383, 0.25911186270088277, 0.25926109707771089, 0.25941444285607385, 0.25957199649286133, 0.25973385817315187, 0.25990013197701756, 0.26007092605710169, 0.26024635282783598, 0.26042652916729525, 0.26061157663272333, 0.26080162169094329, 0.26099679596492048, 0.26119723649794901, 0.26140308603701462, 0.26161449333713127, 0.26183161348857592, 0.26205460826920041, 0.26228364652422848, 0.26251890457621091, 0.2627605666681207, 0.26300882544291121, 0.26326388246325605, 0.26352594877559432, 0.26379524552314165, 0.26407200461303537, 0.26435646944345564, 0.26464889569724542, 0.26494955220936456, 0.26525872191647831, 0.26557670289794655, 0.2659038095187729, 0.26624037368634734, 0.26658674623445089, 0.26694329844971859, 0.26731042375786729, 0.26768853958929556, 0.26807808944642181, 0.26847954519824385, 0.26889340963121888, 0.26932021928978622, 0.26976054764466778, 0.27021500863285475, 0.27068426061968015, 0.27116901084118578, 0.27167002039406307, 0.27218810985101521, 0.27272416559206653, 0.27327914695705902, 0.27385409434227792, 0.27445013838500398, 0.27506851040479552, 0.27571055430021618, 0.27637774013561689, 0.27707167969595148, 0.27779414434007121, 0.27854708554673713, 0.27933265862541934, 0.2801532501594986, 0.28101150986702184, 0.28191038770973648, 0.28285317726212211, 0.28384356657842524, 0.28488569808015551, 0.28598423934604539, 0.28714446714372821, 0.28837236762735374, 0.28967475637903994, 0.29105942294898041, 0.29253530582562842, 0.2941127054471801, 0.2958035450947169, 0.29762169248990783, 0.29958335894769439, 0.30653816873383111, 0.31572898484831102, 0.32849063001070666, 0.34739678547384656, 0.37798676705021395, 0.43413736523674745, 0.55890667629195412, 0.92351854783450638, 1.6193724725016834, 0.67498367945461024, 0.34340721997118817, 0.27001831039087604, 0.24841876568397694, 0.2409918371522965, 0.23835206637993009, 0.2375249697875122, 0.23741010089424999, 0.23755908308014773, 0.23777978161717772, 0.23798967184850831, 0.23815579063792489, 0.23826820626227896, 0.23832761528614618, 0.23833931300947819, 0.23831020123765215, 0.23824730714704884, 0.23815707789989432, 0.23804508081110307, 0.23791591580587723, 0.2377732364040791, 0.23761982249141794, 0.23745767366799059, 0.23728810619783264, 0.23711184466770829, 0.23692910409743831, 0.23673966089192924, 0.23654291250925227, 0.23633792651580871, 0.23612348009301082, 0.2358980912243879, 0.23566004283857481, 0.23540740118756687, 0.235138029757503, 0.23484960009300299, 0.23453960112342828, 0.23420534898874842, 0.23384400009053419, 0.23345257132499692, 0.23302797349184604, 0.23256706721910794, 0.23206675625762477, 0.23152414216794792, 0.23093677988489797, 0.23030310018758526, 0.22962311163881263, 0.2288995781737771, 0.2281400230458753, 0.22736020475404647, 0.22659029456382992, 0.22588619177111002, 0.22535103127901696, 0.22517795685459002, 0.22574004051683066, 0.22779273485044579, 0.23297052279912153, 0.24514529735038887, 0.27469600929547433, 0.35444986286461233, 0.60851639429517335, 1.3711804132603036, 1.4828333052112301, 0.87054970934193132, 0.5931246455288377, 0.4702423504583163, 0.40633056000905549, 0.36857498395405258, 0.34411280379031034, 0.32714205383324219, 0.31473581103304454, 0.3052828832376156, 0.29783300825891124, 0.29179368496018243, 0.28677820634599016, 0.28252434217797806, 0.2788483910805129, 0.27561799753590643, 0.27273542921033517, 0.27012694079581373, 0.26773581708173483, 0.26551772072476321, 0.26343753760719535, 0.26146723957750179, 0.2595844848862553, 0.25777181339840916, 0.25601640662960273, 0.25431050616370243, 0.25265276230788614, 0.25105109593931241, 0.24952826271683229, 0.24813258021646897, 0.2469591207299095, 0.24619346842174697, 0.24620770023922287, 0.24778805317429764, 0.25273209577875477, 0.26563404463364365, 0.30022266537676057, 0.40720104186121436, 0.80476878855473422, 1.445045690999875, 0.89118707095776706, 0.56581144290679486, 0.4394773931362887, 0.37986706649823698, 0.34681142387062908, 0.32631351635124206, 0.31256911687341449, 0.30282490087207947, 0.29563585125466929, 0.29018295820829071, 0.28597374219524507, 0.28269833375539094, 0.28015508806976192, 0.27820981819491408, 0.27677239955322597, 0.27578289855640992, 0.27520323425480603, 0.27501227141755136, 0.27513944964247466, 0.27552389686263579, 0.27617457230435161, 0.27710717479955521, 0.2783453973306404, 0.2799229148324015, 0.28188639685072608, 0.28430002746876804, 0.28725233453584081, 0.29086668851261577, 0.29531784589322363, 0.30085883475386538, 0.3078662945769341, 0.31692035575869737, 0.32895283581833601, 0.34553958802814078, 0.36952110711977471, 0.40644043424267706, 0.46822962023782261, 0.58363738572908852, 0.82680746913294478, 1.2999902053995906, 1.3229432827827108, 0.70831419987900035, 0.42524678804962485, 0.3228986512293327, 0.28122171300719606, 0.2622540783254505, 0.25301777204980086, 0.24841983525415343, 0.24621492758292332, 0.24531850960394352, 0.24516798906281329, 0.24545465581356382, 0.24600138863280682, 0.24670290315516061, 0.24749484980990252, 0.24833705283984941, 0.24920404566450449, 0.25007953953854062, 0.2509530941178546, 0.25181806173776194, 0.25267028988587986, 0.2535072865095741, 0.25432767421705477, 0.25513082840356632, 0.25591663456277242, 0.25668532407093153, 0.25743736239346759, 0.25817337278642205, 0.25889408434393774, 0.25960029696366749, 0.26029285823550502, 0.2609726488742326, 0.2616405744055133, 0.2622975615606154, 0.26294455835658737, 0.2635825372122455, 0.26421250072772046, 0.2648354899716176, 0.26545259530006454, 0.26606496989492889, 0.26667384636984742, 0.26728055696635039, 0.26788655806284584, 0.26849345996310442, 0.26910306323859673, 0.26971740329745375, 0.27033880537862542, 0.27096995287406117, 0.27161397283742561, 0.27227454384990885, 0.2729560332370532, 0.2736636731946811, 0.27440378903430074, 0.27518409803120436, 0.27601410508180535, 0.2769056328677903, 0.27787354161368427, 0.27893672032975708, 0.28011947359619432, 0.28145349575666145, 0.28298073615552649, 0.28475764832950723, 0.28686164643409928, 0.28940118862971448, 0.29253202559891839, 0.29648434134786361, 0.30161001001578308, 0.30846894825793503, 0.31799604560394557, 0.33184562622294644, 0.35315628513368491, 0.38837598016982333, 0.45171406382706591, 0.57246033159891563, 0.75005610139908852, 0.69415551235082029, 0.4569015104565437, 0.35725049137762538, 0.3654805549527208, 0.51696146062227799, 1.1046229318295637, 1.5709432397510243, 0.93140241048501449, 0.6152563501578513, 0.48388675901955075, 0.41900486250350888, 0.38218715094615985, 0.35915020212155085, 0.34369124835323428, 0.33276677449936382, 0.32473711361292817, 0.3186524683348077, 0.31393019549496354, 0.31019603150062186, 0.30720039234155333, 0.3047716603721099, 0.30278883888179625, 0.30116488539507269, 0.29983619963718261, 0.2987557988106776, 0.29788877983943746, 0.29720924627805956, 0.29669820307143718, 0.29634211228196394, 0.2961319176830301, 0.29606241819604617], [0.27636310690150262, 0.2765456376492253, 0.27709980871098772, 0.27804617794358921, 0.27942192049944059, 0.2812858671517186, 0.28372715004896149, 0.28687977555407024, 0.29094761911107975, 0.29624890676396431, 0.30329955181646873, 0.31297987844035002, 0.32689684399829305, 0.34825779572657506, 0.38428336249508499, 0.45415796502124767, 0.62136332737228428, 1.1083993161648735, 1.1895904283058278, 0.48344359650215052, 0.31003114791944442, 0.26536437887208641, 0.25136582159315901, 0.24690671550447416, 0.24599377872787992, 0.24655171041379839, 0.24775860956839066, 0.24925886728772176, 0.25089054168402858, 0.25257910139436046, 0.25429215384568232, 0.25601881937989363, 0.25775987607025669, 0.25952292992752213, 0.26132007342906238, 0.26316685650938787, 0.26508200995856668, 0.26708765830262438, 0.26920991480562922, 0.27147984408723502, 0.27393484657277117, 0.27662058599321687, 0.27959366407590602, 0.28292536544474556, 0.28670698010743662, 0.2910575103822749, 0.2961350728237811, 0.3021541807711996, 0.30941266539066992, 0.31833492361109494, 0.3295438709410195, 0.34398553846932511, 0.36315497229303456, 0.38952799778326436, 0.42743763813656788, 0.48497507751465513, 0.578386783478954, 0.74250458122585017, 1.0503452858978839, 1.5703374220944264, 1.8216384559512324, 1.2372014190099547, 0.72767543496488507, 0.48609181014216818, 0.37315754874397244, 0.31572444411476785, 0.28402852747618113, 0.26535829811079148, 0.25380284446000501, 0.2463882126332512, 0.24151705780103414, 0.23828651084177851, 0.23616808223553579, 0.23484871794144641, 0.23414915808096493, 0.23398269408486078, 0.2343380111178944, 0.23528025356866406, 0.23697174523986783, 0.23972242382750336, 0.24409603509035546, 0.25113537408456449, 0.2628684724053249, 0.28354929815351804, 0.32305886141664963, 0.40756685735946158, 0.61719364426051648, 1.1868557531778032, 1.873607080270203, 1.2642846472450118, 0.75871444932037524, 0.54153673285945469, 0.43864363519991156, 0.38283784790302977, 0.34923248071698565, 0.32736333882540336, 0.31227539718772368, 0.3013861507902067, 0.29324280298532063, 0.28697627380064994, 0.28203989598245399, 0.27807518088461269, 0.27483866289982445, 0.27215999177539008, 0.26991688156078941, 0.26801957608833027, 0.26640090312479869, 0.2650097256108247, 0.26380652150933082, 0.26276033388611342, 0.2618466245467671, 0.26104573654130492, 0.26034177507354667, 0.25972178109864424, 0.25917511302786933, 0.25869297863618751, 0.2582680768955592, 0.25789432130788381, 0.25756662440751787, 0.25728072871701568, 0.25703307338716636, 0.25682068856538315, 0.25664111156706437, 0.25649232040930714, 0.25637268136659275, 0.2562809080352072, 0.25621603002550675, 0.25617736989449913, 0.25616452732621886, 0.25616663704278103, 0.25617296972814246, 0.256183536001023, 0.25619835359833237, 0.25621744743401764, 0.25624084968197197, 0.25626859988357026, 0.25630074508052691, 0.25633733997396652, 0.25637844711076924, 0.25642413709845613, 0.25647448885006968, 0.25652958986076979, 0.25658953651803584, 0.25665443444774272, 0.25672439889854259, 0.25679955516742348, 0.25688003906959045, 0.25696599745626081, 0.25705758878438756, 0.25715498374281015, 0.25725836593993984, 0.25736793265863439, 0.25748389568469332, 0.25760648221617466, 0.25773593586163829, 0.25787251773646586, 0.25801650766757916, 0.25816820551823116, 0.2583279326460633, 0.25849603350942552, 0.25867287743896705, 0.25885886059387253, 0.25905440812483654, 0.25925997656902272, 0.25947605650595007, 0.25970317550750394, 0.25994190142031814, 0.26019284602462428, 0.26045666912063814, 0.26073408310167895, 0.26102585808293, 0.26133282766625104, 0.26165589543517098, 0.2619960422905972, 0.26235433475751258, 0.26273193441668091, 0.26313010864418418, 0.26355024287655543, 0.26399385466201647, 0.26446260981066055, 0.26495834102094468, 0.26548306943975575, 0.26603902971271226, 0.26662869920579024, 0.26725483223586688, 0.26792050034593246, 0.26862913991307236, 0.2693846087008186, 0.27019125338506306, 0.27105399062568081, 0.27197840496732062, 0.27297086779231078, 0.27403868280025234, 0.27519026517127243, 0.27643536385365208, 0.27778533954842266, 0.27925351530596548, 0.28085562274209153, 0.28261037553676344, 0.2845402143446063, 0.28667228546391516, 0.28903974265866411, 0.29168350238141116, 0.29465464551404885, 0.29801775748831971, 0.30185565725271074, 0.3062762266656921, 0.31142249366402924, 0.31748789299657221, 0.32474001831782667, 0.33355878468521516, 0.34450001845970873, 0.3584059678781219, 0.37660699315224894, 0.40131142455562374, 0.43641185747463401, 0.48928984947357945, 0.57522805299818613, 0.72907486677939692, 1.0344233332788368, 1.614427342517289, 1.8559448431514962, 1.0689424969124133, 0.5817168660375982, 0.39554322616823184, 0.31980883227063511, 0.28584145963478624, 0.26972669514984404, 0.26211432322191625, 0.25891705592293424, 0.25817912381373137, 0.25889561359242058, 0.26052041108207669, 0.26274319867438811, 0.26538106381652848, 0.26832259341848747, 0.27149750652710636, 0.27485936352317375, 0.2783752671763276, 0.28201944591905476, 0.28576907084188774, 0.2896014101090611, 0.29349182946259822, 0.29741237517666858, 0.30133080893190334, 0.30521004366907756, 0.30900797592663171, 0.31267773326965381, 0.31616835969074625, 0.31942594958903697, 0.32239521415916256, 0.32502142589393118, 0.32725264242907831, 0.32904206707246375, 0.33035036825633929, 0.33114776189190254, 0.33141566533544509, 0.33114776189190609, 0.33035036825634612, 0.32904206707246358, 0.32725264242907781, 0.3250214258939349, 0.32239521415916006, 0.31942594958903708, 0.31616835969074647, 0.31267773326965709, 0.30900797592663276, 0.30521004366907495, 0.30133080893189818, 0.29741237517667085, 0.293491829462598, 0.28960141010906326, 0.28576907084188979, 0.28201944591905354, 0.27837526717632288, 0.27485936352317863, 0.27149750652710908, 0.2683225934184868, 0.26538106381653065, 0.26274319867438678, 0.26052041108207707, 0.25889561359242125, 0.25817912381373226, 0.25891705592293185, 0.26211432322192363, 0.26972669514984937, 0.28584145963478674, 0.31980883227068563, 0.39554322616821369, 0.58171686603738937, 1.0689424969128416, 1.8559448431512402, 1.6144273425176492, 1.0344233332788031, 0.72907486677948152, 0.57522805299819246, 0.48928984947362525, 0.43641185747463812, 0.40131142455562219, 0.37660699315224994, 0.35840596787811574, 0.34450001845970601, 0.33355878468521055, 0.32474001831783206, 0.31748789299657526, 0.31142249366403213, 0.30627622666569709, 0.3018556572527108, 0.29801775748831444, 0.29465464551404658, 0.29168350238141472, 0.28903974265866456, 0.2866722854639141, 0.28454021434460558, 0.28261037553676222, 0.28085562274208964, 0.27925351530596387, 0.27778533954842077, 0.27643536385365219, 0.27519026517127249, 0.27403868280025306, 0.27297086779231072, 0.27197840496732134, 0.27105399062568081, 0.27019125338506222, 0.26938460870081765, 0.26862913991307341, 0.26792050034593229, 0.26725483223586644, 0.26662869920579085, 0.26603902971271309, 0.26548306943975691, 0.26495834102094451, 0.26446260981066028, 0.26399385466201641, 0.26355024287655443, 0.26313010864418424, 0.26273193441668174, 0.26235433475751196, 0.26199604229059648, 0.26165589543517059, 0.26133282766625121, 0.26102585808293044, 0.26073408310167917, 0.2604566691206377, 0.26019284602462323, 0.25994190142031798, 0.25970317550750405, 0.25947605650594979, 0.25925997656902205, 0.25905440812483621, 0.25885886059387297, 0.25867287743896733, 0.25849603350942457, 0.25832793264606296, 0.25816820551823005, 0.25801650766757872, 0.25787251773646608, 0.2577359358616384, 0.25760648221617433, 0.2574838956846931, 0.25736793265863395, 0.2572583659399395, 0.25715498374281109, 0.25705758878438723, 0.25696599745626175, 0.25688003906959095, 0.25679955516742381, 0.25672439889854237, 0.25665443444774327, 0.25658953651803729, 0.25652958986076951, 0.25647448885007035, 0.25642413709845602, 0.25637844711076935, 0.25633733997396668, 0.2563007450805268, 0.25626859988357004, 0.2562408496819723, 0.25621744743401703, 0.25619835359833254, 0.25618353600102339, 0.25617296972814307, 0.2561666370427812, 0.25616452732621753, 0.25616558207974721, 0.256168746850433, 0.25617402316906884, 0.25618141358861868, 0.25619092168669566, 0.25620255206903414, 0.25621631037395154, 0.2562322032778358, 0.25625023850164819, 0.25627042481845108, 0.25629277206199164, 0.25631729113633839, 0.25634399402660923, 0.25637289381078149, 0.25640400467264046, 0.2564373419158647, 0.25647292197928878, 0.25651076245336452, 0.2565508820978657, 0.25659330086084103, 0.25663803989890466, 0.25668512159884721, 0.25673456960064567, 0.25678640882191822, 0.25684066548385831, 0.25689736713871703, 0.25695654269887741, 0.25701822246761152, 0.2570824381715483, 0.2571492229949533, 0.25721861161589332, 0.25729064024436071, 0.25736534666245031, 0.25744277026668294, 0.25752295211259302, 0.25760593496166073, 0.25769176333074023, 0.25778048354408251, 0.25787214378811441, 0.25796679416910923, 0.25806448677389321, 0.25816527573380232, 0.25826921729201757, 0.25837636987452828, 0.25848679416489856, 0.25860055318310399, 0.25871771236866409, 0.2588383396683534, 0.25896250562878659, 0.25909028349419438, 0.25922174930974778, 0.25935698203079172, 0.25949606363841488, 0.2596390792617958, 0.25978611730781831, 0.2599372695984804, 0.26009263151670087, 0.26025230216112083, 0.26041638451064758, 0.26058498559946414, 0.2607582167033633, 0.26093619353832631, 0.2611190364723453, 0.2613068707516305, 0.26149982674239602, 0.26169804018961623, 0.26190165249421382, 0.26211081101036782, 0.26232566936473878, 0.26254638779967188, 0.2627731335426034, 0.26300608120418006, 0.26324541320787193, 0.26349132025416411, 0.26374400182277397, 0.26400366671673575, 0.26427053365265518, 0.26454483190191064, 0.26482680198820086, 0.26511669644743668, 0.26541478065675816, 0.26572133374025786, 0.26603664955995071, 0.26636103780164955, 0.26669482516656373, 0.26703835668094034, 0.26739199713759448, 0.26775613268509119, 0.26813117258240632, 0.26851755113938608, 0.2689157298660797, 0.26932619985730172, 0.26974948444250874, 0.27018614213542375, 0.27063676992289726, 0.27110200693832237, 0.27158253857186337, 0.27207910107766364, 0.27259248674765946, 0.27312354973269998, 0.27367321260460042, 0.2742424737683043, 0.27483241585145674, 0.27544421522055323, 0.27607915279870127, 0.27673862639114966, 0.27742416476211862, 0.27813744375150751, 0.27888030477469389, 0.27965477611502793, 0.28046309749972614, 0.28130774854926993, 0.28219148181302584, 0.28311736125543385, 0.28408880724586966, 0.28510964934129723, 0.2861841884475877, 0.28731727032067139, 0.28851437284605019, 0.28978171014627985, 0.29112635735325593, 0.29255640090370971, 0.29408112055078645, 0.29571121104232329, 0.29745905374923404, 0.29933905165085878, 0.30136804530325217, 0.30356583317124775, 0.31142939554865212, 0.32198939990533493, 0.33695904704019686, 0.3597594536002604, 0.39811405857384291, 0.47271419764799466, 0.65389913921024456, 1.2212433438310093, 1.3929556982675591, 0.50762828226223811, 0.3107279475172473, 0.26193342572206568, 0.24644320404234976, 0.24092760534872662, 0.23896837201228033, 0.23839468967447944, 0.23836789945323167, 0.23853665341676344, 0.23874823669615786, 0.23893721253526007, 0.23907835186455725, 0.23916530330385183, 0.2392004168758097, 0.23918971903613484, 0.23914039249870717, 0.23905952405749695, 0.23895351295657014, 0.23882782856819462, 0.23868695224731223, 0.23853441339947901, 0.2383728699484996, 0.23820420553535224, 0.23802962831124139, 0.23784976340224476, 0.23766473530650173, 0.23747423889678931, 0.23727759906068993, 0.2370738197403677, 0.23686162349068815, 0.23663948281770839, 0.23640564459223976, 0.2361581488256938, 0.23589484310067427, 0.23561339401517822, 0.23531129717976407, 0.23498588767282722, 0.2346343535148189, 0.23425375583260424, 0.23384106121680182, 0.23339319476968803, 0.2329071272447665, 0.23238001777430622, 0.23180944722166708, 0.23119380022948047, 0.23053289402157606, 0.22982902308554976, 0.22908871862949942, 0.22832576606455232, 0.22756650039940671, 0.22685936748883845, 0.22629279920287981, 0.22603007972538117, 0.22638096872864252, 0.22795850666958362, 0.23205060174125264, 0.24159303098483276, 0.26406319691814018, 0.32158795652609151, 0.49293490877149565, 1.0629560777792393, 1.705861215520097, 1.0715816531204381, 0.67854921002525004, 0.51238945566356486, 0.43066706683427447, 0.38435504529625147, 0.35524708285637563, 0.3355103317658033, 0.32133740717562048, 0.31069264437100114, 0.30240304682082841, 0.29575096824299618, 0.29027533945384892, 0.28566764046022519, 0.28171420535110558, 0.27826262529315182, 0.27520135774640464, 0.27244690618430145, 0.26993551488958872, 0.26761765563824541, 0.26545430316451851, 0.26341440354151541, 0.26147318269101044, 0.25961109995918097, 0.25781337076592692, 0.25607009761874994, 0.25437719833572442, 0.25273856429912656, 0.25117033838977004, 0.24970913292361138, 0.24842803261542978, 0.2474689275342174, 0.24711145359975853, 0.24793073916972494, 0.25119260483339473, 0.2599668428460129, 0.28278516945138465, 0.34832335220233007, 0.57729310354087682, 1.3082086569481777, 1.1620344220456049, 0.6681455864511554, 0.48170648413985895, 0.40122336909192674, 0.35933938725055414, 0.33447996651214534, 0.31832195031463068, 0.30712492535932029, 0.29900413400242704, 0.29292425054547078, 0.28827781152963766, 0.2846899813997717, 0.28192062016301078, 0.27981191139661105, 0.27825890719661461, 0.27719235005736026, 0.27656848199236228, 0.27636310690150262, 0.27649987507116558, 0.2769135101778073, 0.27761426961615793, 0.27862016994439182, 0.27995850043654641, 0.28166823677074387, 0.28380373037719991, 0.28644030229987572, 0.28968280255866435, 0.29367896582254976, 0.29864082422342408, 0.3048802152827545, 0.31287008982857722, 0.3233555587606089, 0.33756680075641926, 0.3576559475809562, 0.38766959504755027, 0.43593314172331432, 0.52155538174157057, 0.6934729553497494, 1.0674209460865847, 1.4947203053745013, 0.97714759407922935, 0.52396994123209117, 0.36021227585833443, 0.2976832453462912, 0.27053426658191498, 0.25764551861269436, 0.25124972948125723, 0.24809427294787192, 0.24666913223492565, 0.24621465221252584, 0.24632382243375328, 0.24676743094192979, 0.2474111777525303, 0.2481738640615348, 0.24900518113481818, 0.24987338545569759, 0.25075820158291962, 0.25164660356757429, 0.25253023791084417, 0.25340381165619635, 0.25426406333167217, 0.2551090942986578, 0.25593792768438173, 0.25675021374403151, 0.25754603103993051, 0.25832575128959595, 0.25908994712761468, 0.25983932918827174, 0.26057470349637718, 0.26129694313033885, 0.26200697008648144, 0.26270574459060358, 0.26339426000072352, 0.26407354206900158, 0.26474465177563816, 0.26540869127553596, 0.26606681275225574, 0.26672023018327728, 0.26737023420811323, 0.26801821047451035, 0.26866566203418313, 0.269314236584554, 0.26996575962556402, 0.27062227494377988, 0.27128609427976125, 0.27195985861984506, 0.27264661433737747, 0.27334990847224516, 0.27407390889943417, 0.27482355717005158, 0.27560476467056588, 0.27642466682840999, 0.27729195599566697, 0.27821732230692142, 0.27921404472818806, 0.28029879411924152, 0.28149274044741623, 0.2828231041482307, 0.28432536891411719, 0.2860465011757044, 0.28804973945492418, 0.29042189948286301, 0.29328483682111017, 0.29681402415491609, 0.30126979884292254, 0.30705223067892135, 0.31480240574771851, 0.32560062263613004, 0.34138131932853799, 0.36586963159612274, 0.40685200097802998, 0.48171251414777128, 0.6247821930976345, 0.80874394169382235, 0.68165696787015573, 0.43366939458107684, 0.3290017616070619, 0.3013716617737493, 0.32142220571416952, 0.42334184465810482, 0.80223081473868163, 1.6401013763075214, 1.1915581857299977, 0.72270413728555249, 0.53462820856821802, 0.44778247762318368, 0.400853735785062, 0.37247349752649483, 0.35388484545601778, 0.34097957245125599, 0.33161946204938214, 0.324598765234625, 0.31919338496020488, 0.31494605671048759, 0.31155603473982363, 0.30881885113265117, 0.3065916893397943, 0.3047726032211277, 0.30328758125524419, 0.30208224202064043, 0.30111636521662188, 0.30036021797248597, 0.2997920553191496, 0.29939641503798659, 0.29916297119530944, 0.29908580014764308], [0.2777216128583373, 0.27791852957221574, 0.27851681571181275, 0.27954006535149389, 0.28103110885095195, 0.28305812427390603, 0.28572523239113329, 0.28919059906934708, 0.2936980185928002, 0.29963431313076982, 0.30763967399733555, 0.31883553772063217, 0.33533982264023438, 0.36157511877190246, 0.40813211246378683, 0.50564802139424525, 0.76514183318527129, 1.4035467108857096, 0.82646605582601695, 0.38725153663138151, 0.28775921774612723, 0.25942995196070529, 0.2501723059129779, 0.24737201185025579, 0.24710888049618682, 0.24793714399490668, 0.24925856899223056, 0.25080649767716834, 0.2524574120730359, 0.2541544500268208, 0.25587377454581484, 0.25760887636186824, 0.2593629460986101, 0.26114511115663719, 0.26296863712295043, 0.26485019869681203, 0.26680979203404531, 0.26887109266344522, 0.27106219033116041, 0.27341671396023715, 0.27597542726476343, 0.27878844838300121, 0.28191834344487415, 0.28544448771244096, 0.28946931575368934, 0.29412745817881897, 0.29959940439728772, 0.30613246327392762, 0.31407386269672211, 0.32392475909756602, 0.33643172255501252, 0.35274849092089788, 0.37473645463114758, 0.40555555404548765, 0.45090397272781707, 0.52180742303791483, 0.64128970308289657, 0.86005523736119405, 1.2749675495964325, 1.831467171184048, 1.6559940564444975, 0.977802253072941, 0.59572598239376051, 0.42355155292293095, 0.34098845516587178, 0.29763759745881085, 0.27306935767660873, 0.25829961345079722, 0.24901765869243953, 0.24299422393251105, 0.23900420389042096, 0.23634203148878832, 0.23458840768727793, 0.23349194896497227, 0.23290732691370827, 0.23276361220310335, 0.23305100879186555, 0.2338217075148335, 0.23520596251164047, 0.23745084225627866, 0.24100062894379637, 0.2466639758634121, 0.25598009703073432, 0.27208830732980899, 0.30202219105811229, 0.36360927482349775, 0.50944924695096372, 0.91193907075885927, 1.7837829969219505, 1.5771601869732979, 0.9001159361596226, 0.60124737177449661, 0.46821175161774636, 0.39963461298125313, 0.3598171061808968, 0.33458006679123242, 0.31750680889548766, 0.30536800053382873, 0.29639594466632418, 0.28955593598413387, 0.28420850074733567, 0.27994033916500416, 0.27647414916520341, 0.27361788930635578, 0.27123490905960035, 0.26922566698228478, 0.26751615783751809, 0.26605036759659384, 0.26478522505133895, 0.2636871452025879, 0.26272961337362044, 0.2618914652856808, 0.26115564211076564, 0.26050827572623475, 0.25993800742555029, 0.25943547425928604, 0.258992917475943, 0.2586038810935592, 0.2582629778456173, 0.25796570609954983, 0.25770830579317189, 0.2574876445891644, 0.25730112771545366, 0.25714662661092613, 0.25702242271515319, 0.25692716365410218, 0.25685982976958321, 0.2568197094812168, 0.25680638240151249, 0.25680857155791253, 0.25681514273308453, 0.25682610705737186, 0.25684148312284111, 0.25686129704582594, 0.25688558255505306, 0.25691438110595827, 0.2569477420219432, 0.25698572266353253, 0.25702838862657901, 0.25707581397087875, 0.25712808148077099, 0.25718528295957965, 0.25724751955993863, 0.25731490215245356, 0.2573875517353319, 0.25746559988808859, 0.2575491892727329, 0.25763847418633412, 0.2577336211693157, 0.25783480967436495, 0.25794223280150758, 0.25805609810549418, 0.25817662848250034, 0.25830406314398485, 0.25843865868654392, 0.25858069026775005, 0.25873045289925506, 0.25888826286992495, 0.25905445931346066, 0.25922940593694294, 0.25941349292897381, 0.2596071390687098, 0.25981079406010149, 0.26002494111916041, 0.26025009984619313, 0.26048682941969131, 0.26073573215420398, 0.26099745747107428, 0.26127270633873484, 0.26156223624839281, 0.26186686680185783, 0.26218748600124553, 0.26252505734577841, 0.26288062785948835, 0.26325533719601285, 0.26365042799367722, 0.26406725768688599, 0.26450731201975197, 0.26497222055684688, 0.26546377454603498, 0.26598394756263, 0.2665349194563531, 0.2671191042376494, 0.26773918268441765, 0.26839814063254885, 0.26909931414530747, 0.26984644305262551, 0.27064373473229053, 0.27149594049863945, 0.2724084476088407, 0.27338739074484475, 0.27443978795427332, 0.27557370753988419, 0.27679847442262467, 0.27812492728143962, 0.27956574160544145, 0.28113583914139251, 0.28285291177251082, 0.28473809867347355, 0.28681687127531807, 0.28912020369522967, 0.29168614092915013, 0.29456192995161012, 0.29780696107635368, 0.30149689759002374, 0.30572958428454189, 0.31063368060822377, 0.31638157458293403, 0.32320921731574015, 0.33144751245379744, 0.34157371823734078, 0.35429899451483909, 0.37072446354718663, 0.39263462637557633, 0.42308470042571167, 0.46766617473593636, 0.53747493313125594, 0.6567122960462809, 0.88296177439663881, 1.3423952403570809, 1.9541433065319636, 1.5023510599853396, 0.77599933030034829, 0.47203174143388099, 0.35352142294760031, 0.30236702477915001, 0.27845806313297788, 0.26694880496926016, 0.26165453597450872, 0.25972668610846517, 0.25974454413358478, 0.26095388861064617, 0.2629342058802564, 0.26544174690568972, 0.26833062490969672, 0.27151090345540674, 0.27492521064525566, 0.27853507097071811, 0.28231253746122825, 0.28623481495528774, 0.29028062827851275, 0.29442765052185071, 0.29865061720484609, 0.30291993226579911, 0.3072006809856267, 0.31145203268189042, 0.31562705655278589, 0.31967299362291191, 0.32353202853356872, 0.327142587654144, 0.33044115580490863, 0.33336455573393797, 0.33585257802711133, 0.33785079275694424, 0.33931332819934468, 0.3402053767643915, 0.34050519201333862, 0.34020537676439544, 0.3393133281993525, 0.33785079275694396, 0.33585257802711088, 0.33336455573394186, 0.3304411558049058, 0.3271425876541445, 0.32353202853356888, 0.3196729936229154, 0.31562705655278689, 0.31145203268188765, 0.30720068098562142, 0.30291993226580177, 0.29865061720484593, 0.29442765052185332, 0.29028062827851497, 0.28623481495528652, 0.28231253746122326, 0.27853507097072355, 0.27492521064525866, 0.27151090345540585, 0.26833062490969906, 0.26544174690568823, 0.26293420588025662, 0.26095388861064667, 0.25974454413358539, 0.25972668610846328, 0.26165453597451416, 0.26694880496926437, 0.27845806313297894, 0.3023670247791857, 0.35352142294758887, 0.47203174143375337, 0.77599933030063273, 1.502351059985032, 1.9541433065319973, 1.3423952403570252, 0.88296177439677437, 0.65671229604629255, 0.53747493313131711, 0.4676661747359423, 0.4230847004257115, 0.39263462637557833, 0.3707244635471787, 0.35429899451483648, 0.34157371823733595, 0.33144751245380355, 0.3232092173157437, 0.31638157458293731, 0.31063368060822916, 0.30572958428454172, 0.30149689759001819, 0.29780696107635124, 0.29456192995161412, 0.29168614092915068, 0.28912020369522856, 0.28681687127531724, 0.28473809867347222, 0.28285291177250871, 0.28113583914139084, 0.2795657416054394, 0.27812492728143967, 0.27679847442262456, 0.27557370753988497, 0.27443978795427326, 0.27338739074484558, 0.27240844760884059, 0.27149594049863851, 0.27064373473228953, 0.26984644305262656, 0.26909931414530724, 0.26839814063254841, 0.26773918268441838, 0.2671191042376504, 0.26653491945635421, 0.26598394756262972, 0.26546377454603465, 0.26497222055684683, 0.26450731201975092, 0.2640672576868861, 0.2636504279936781, 0.26325533719601218, 0.26288062785948757, 0.26252505734577791, 0.2621874860012457, 0.26186686680185822, 0.26156223624839303, 0.26127270633873445, 0.26099745747107311, 0.26073573215420387, 0.26048682941969148, 0.26025009984619291, 0.26002494111915964, 0.25981079406010121, 0.25960713906871036, 0.25941349292897392, 0.25922940593694194, 0.25905445931346033, 0.25888826286992384, 0.25873045289925478, 0.25858069026775027, 0.25843865868654398, 0.25830406314398441, 0.25817662848250017, 0.25805609810549363, 0.25794223280150741, 0.25783480967436595, 0.25773362116931525, 0.25763847418633506, 0.25754918927273346, 0.25746559988808876, 0.25738755173533168, 0.25731490215245401, 0.25724751955994002, 0.25718528295957932, 0.25712808148077182, 0.25707581397087853, 0.25702838862657912, 0.25698572266353276, 0.25694774202194304, 0.25691438110595805, 0.25688558255505345, 0.25686129704582533, 0.25684148312284139, 0.25682610705737241, 0.25681514273308509, 0.2568085715579127, 0.25680638240151105, 0.25680747687005551, 0.25681076081203846, 0.25681623583705238, 0.2568239046295217, 0.25683377095137772, 0.25684583964580399, 0.25686011664205255, 0.25687660896136455, 0.25689532472399035, 0.25691627315731447, 0.25693946460512512, 0.25696491053802006, 0.25699262356499442, 0.25702261744620153, 0.25705490710694595, 0.25708950865291069, 0.25712643938666213, 0.25716571782545572, 0.25720736372039554, 0.25725139807695196, 0.25729784317693405, 0.25734672260190511, 0.25739806125812231, 0.2574518854030573, 0.25750822267353157, 0.25756710211555067, 0.25762855421588099, 0.25769261093547285, 0.25775930574476486, 0.25782867366097895, 0.25790075128749229, 0.25797557685536743, 0.25805319026715046, 0.25813363314303867, 0.25821694886955365, 0.25830318265081065, 0.25839238156255556, 0.25848459460908318, 0.25857987278321731, 0.25867826912950737, 0.25877983881081135, 0.2588846391784978, 0.25899272984642474, 0.25910417276897113, 0.25921903232332638, 0.25933737539633794, 0.25945927147617842, 0.25958479274915219, 0.25971401420198087, 0.25984701372992963, 0.25998387225118125, 0.26012467382787419, 0.26026950579429226, 0.26041845889270748, 0.26057162741744472, 0.26072910936776783, 0.26089100661027792, 0.26105742505151569, 0.2612284748216156, 0.26140427046985426, 0.26158493117307025, 0.26177058095801997, 0.26196134893881534, 0.2621573695707563, 0.26235878292193621, 0.26256573496421765, 0.26277837788526948, 0.26299687042360609, 0.26322137822870795, 0.26345207424859718, 0.26368913914744402, 0.26393276175610358, 0.26418313955879752, 0.26444047921951563, 0.26470499715212892, 0.26497692013866919, 0.26525648600076562, 0.26554394432979228, 0.26583955728199693, 0.26614360044559743, 0.26645636378773985, 0.2667781526901653, 0.2671092890835533, 0.26745011269183477, 0.26780098239914002, 0.26816227775381912, 0.26853440062579387, 0.26891777703576913, 0.26931285917730186, 0.26972012765569342, 0.27014009397097644, 0.27057330327619722, 0.27102033744668547, 0.2714818185012387, 0.27195841242226854, 0.27245083342901394, 0.27295984876636553, 0.27348628408149034, 0.2740310294720123, 0.27459504630307874, 0.27517937490657896, 0.27578514329494819, 0.27641357704449171, 0.27706601053032831, 0.27774389972737673, 0.27844883683081034, 0.27918256699644606, 0.27994700755848062, 0.28074427015134468, 0.28157668624711696, 0.28244683672386572, 0.28335758620829693, 0.28431212309478188, 0.28531400634016629, 0.28636722038076701, 0.28747623982861142, 0.28864610599696156, 0.28988251780532143, 0.29119194025458245, 0.29258173448856467, 0.29406031452968229, 0.29563733717761953, 0.29732393340533614, 0.29913299203833826, 0.30107950978670928, 0.30318102613820835, 0.30545816767831852, 0.30793533475542123, 0.31688776362298698, 0.32912480058624483, 0.34687735066463066, 0.37477911099406214, 0.42387373772251363, 0.52609978400593849, 0.80071766135872613, 1.5962015869773898, 0.99080410352574, 0.41125497456646909, 0.29001748516466624, 0.25653394589544881, 0.2452316697578282, 0.24110495168466464, 0.2396553015684591, 0.2392716303364133, 0.23930728821101577, 0.23948480684727672, 0.23968232972734546, 0.23984807765833985, 0.2399630995870865, 0.24002398223514865, 0.24003444017669245, 0.24000110126989022, 0.239931372631843, 0.23983237800894283, 0.23971046137146615, 0.23957099328445178, 0.23941833797987941, 0.23925590258275442, 0.23908622445036734, 0.2389110719286551, 0.23873154494389784, 0.23854816833474643, 0.23836097463439351, 0.2381695752253758, 0.23797322004275351, 0.23777084667372408, 0.23756112002632332, 0.23734246386399957, 0.23711308552249175, 0.23687099510686033, 0.23661402045951294, 0.23633981923984967, 0.23604588961150802, 0.23572958135883909, 0.2353881098442428, 0.23501857621913269, 0.23461799894928689, 0.23418336439763796, 0.23371170857297838, 0.23320024930836711, 0.2326466000048879, 0.23204911609214918, 0.23140745976419475, 0.23072352904640273, 0.23000300640704541, 0.22925798498524474, 0.2285115203964603, 0.22780573485863725, 0.22721672647662272, 0.22688311101686578, 0.22706336877223626, 0.22825809219740539, 0.23149036463518091, 0.23901054074067227, 0.25628648335003917, 0.2985212437908521, 0.41610405904945158, 0.80158001358433306, 1.6868101668652358, 1.3495527217872569, 0.80001931475001831, 0.56855687084278139, 0.46141324776641318, 0.40351931589636436, 0.36837254526029595, 0.34514877077200146, 0.32880042284431749, 0.31671493051619448, 0.30742512043306985, 0.30005185821198643, 0.29403993728587507, 0.28902316757697172, 0.28475105269588757, 0.28104681799944697, 0.2777823067129499, 0.27486239271992563, 0.27221498915030296, 0.26978447162295655, 0.26752725977738184, 0.26540881470652244, 0.26340160976143434, 0.26148381932846082, 0.25963860150439833, 0.25785396402651106, 0.25612333328516784, 0.2544471417859539, 0.25283609779723365, 0.25131748787402391, 0.24994731659518871, 0.24883436665359249, 0.24819018375193957, 0.24843971920033414, 0.25048708931349994, 0.25642472231166935, 0.27170425559377492, 0.31310160779175389, 0.44517689324513698, 0.94406754176569552, 1.4572782579441776, 0.83131365719126127, 0.54290267706589768, 0.42965024577535976, 0.37503625469132701, 0.34426879555251549, 0.32498699068953979, 0.31197275181983813, 0.30271663395307752, 0.29588823986909224, 0.29072820312603953, 0.28677803850850753, 0.2837490603551604, 0.28145415267971235, 0.27977023582202931, 0.27861676882295033, 0.27794317823878628, 0.2777216128583373, 0.27786915289419761, 0.27831560154928209, 0.27907276517804241, 0.28016143541538335, 0.28161322982708098, 0.28347354791920437, 0.28580613150930784, 0.28870005926564707, 0.29228059803853101, 0.29672641241539466, 0.3022976860200432, 0.30938380179258695, 0.31858784317732308, 0.3308844509335675, 0.3479338527320433, 0.37275553739716205, 0.41131040745303965, 0.47663027605640962, 0.60077460495470525, 0.86826817163672143, 1.3834278338838888, 1.317642674594905, 0.68414788844043628, 0.41714941814000672, 0.3210819944636083, 0.28166906731856584, 0.26359957217065172, 0.25475358908859258, 0.25033843859398813, 0.24822536560392461, 0.24737925326223545, 0.24725993546006977, 0.24756939739115755, 0.24813578893432331, 0.24885646462045141, 0.24966839000273564, 0.25053202299726457, 0.25142217659239452, 0.25232265930071557, 0.25322303786333555, 0.25411663164428094, 0.25499924252075462, 0.25586833513220275, 0.25672249909585476, 0.25756109129768601, 0.25838399525760891, 0.25919145785441339, 0.25998397794132222, 0.2607622302688492, 0.26152701377446796, 0.26227921694268491, 0.26301979532995357, 0.26374975794310174, 0.26447016024061704, 0.26518210227345562, 0.26588673101136123, 0.26658524628841745, 0.26727891009898413, 0.26796905921827524, 0.26865712133713415, 0.26934463510918411, 0.27003327472919841, 0.27072487991314187, 0.27142149245364494, 0.27212540090551929, 0.27283919544783125, 0.27356583561752867, 0.27430873447826665, 0.27507186396774536, 0.27585988778898868, 0.27667833046944906, 0.27753379439550824, 0.27843424117820681, 0.27938936029474376, 0.28041105763984098, 0.28151411110430213, 0.28271706233187649, 0.28404344797766973, 0.28552352791724411, 0.28719675559619579, 0.28911538162594952, 0.29134983137667536, 0.29399693814246813, 0.29719291988209023, 0.30113452263112095, 0.30611480999547397, 0.31258648024890673, 0.32127979557505615, 0.3334358048105599, 0.35130068552442972, 0.37925713464891103, 0.42660200295684431, 0.51427579142899149, 0.68127014612877279, 0.86331655796100037, 0.67174763096810985, 0.42190150435684742, 0.31930252293972294, 0.2836053301179543, 0.27760460598674341, 0.29677559025088424, 0.36623255669857047, 0.6017719175290035, 1.3674289537972379, 1.5268979057886969, 0.88476895758716678, 0.60570716070993236, 0.48553577798256536, 0.42419918113086896, 0.38856272262710762, 0.36587535651016256, 0.35044755082293277, 0.33943017494112676, 0.33126410239454546, 0.32503497049312952, 0.32017624968230046, 0.31632104938105449, 0.31322307968795537, 0.31071211077007038, 0.30866768627861024, 0.30700299265348707, 0.30565462956327233, 0.30457594348970252, 0.30373258956871346, 0.30309953462170613, 0.30265902534681016, 0.30239922898079813, 0.30231336624376465], [0.27932403296044961, 0.27953763711752855, 0.2801871567856043, 0.28129991064704551, 0.28292570202437362, 0.28514432349778224, 0.28807871501305682, 0.29191778508869587, 0.29695698644654539, 0.30367379780185766, 0.3128770531300219, 0.3260265553596573, 0.34598922346324662, 0.37907511491652562, 0.44153336604310001, 0.58518334197242527, 1.0048754881793385, 1.3996935298903563, 0.57336199408812016, 0.33350305549342851, 0.27433515513333423, 0.25601862349935683, 0.24993292656838575, 0.24830642842069234, 0.24851970327634704, 0.24955077780350815, 0.25095981229566433, 0.25254554375782845, 0.25421352618556126, 0.25592059032376496, 0.25764969157743617, 0.25939790548801822, 0.2611705106395088, 0.26297806531438489, 0.26483504982314693, 0.26675939311747549, 0.26877255896654295, 0.27090005081399404, 0.27317230097139539, 0.27562598487565487, 0.27830587032191895, 0.2812673937359525, 0.28458027075198911, 0.28833362517544137, 0.29264340614730061, 0.29766334242824144, 0.30360151308507749, 0.31074610275595188, 0.31950667973662855, 0.33048270468513991, 0.34458187658976774, 0.36323421991514154, 0.38880058522552269, 0.42540157343273716, 0.48072068547085534, 0.57022161881893996, 0.72751548867789206, 1.0270679738626571, 1.571456109179213, 1.9550589170792283, 1.3561963077733452, 0.77147843334167232, 0.50052462037200296, 0.37777479017275339, 0.31683181413166578, 0.28379422494187534, 0.26459602335591997, 0.2528344127700437, 0.24533814899096693, 0.24042273478185189, 0.23714182018744012, 0.23494049953331114, 0.23348418877104415, 0.23256996199197461, 0.23207942110163804, 0.23195427855432019, 0.23218605896268385, 0.23281679877966938, 0.23395160455908734, 0.2357886300340091, 0.2386803969127031, 0.24325887260015153, 0.25070285608839998, 0.26335377897283885, 0.28628035845568578, 0.33178043971440785, 0.43442092097622986, 0.70792055598116765, 1.4671037084987595, 1.9042230234907547, 1.1078227112838008, 0.68442690835613806, 0.50697883731860161, 0.42073050519908517, 0.37272863720853272, 0.34321147837677402, 0.32368177119693681, 0.31002791541977748, 0.30006673559981789, 0.29255065838407668, 0.28672341353344832, 0.2821038923075696, 0.27837351928685677, 0.27531410453181293, 0.27277185258385178, 0.27063564121256811, 0.26882343691568406, 0.26727353143187749, 0.26593873215201863, 0.26478241678167436, 0.26377579590757727, 0.26289597682602972, 0.26212457025899949, 0.2614466720167733, 0.26085010817846421, 0.26032486846346703, 0.25986267599819296, 0.25945665730555045, 0.25910108689533473, 0.25879118807210649, 0.2585229766170547, 0.25829313755899003, 0.25809892779642152, 0.25793809917983329, 0.25780883802153515, 0.25770971801406822, 0.2576396643075306, 0.2575979270923931, 0.25758406350862262, 0.25758634079921877, 0.25759317656749164, 0.25760458251615082, 0.25762057819397038, 0.25764119106250316, 0.25766645659009207, 0.25769641837383661, 0.25773112829032568, 0.25777064667617972, 0.25781504253964116, 0.25786439380469278, 0.25791878758940945, 0.25797832052055564, 0.25804309908665235, 0.25811324003216574, 0.25818887079568664, 0.25827012999547305, 0.25835716796606489, 0.25845014735021044, 0.25854924375084631, 0.2586546464484622, 0.25876655918989899, 0.25888520105530516, 0.25901080741090021, 0.25914363095613102, 0.25928394287490747, 0.25943203410186783, 0.25958821671605958, 0.25975282547606982, 0.25992621951251071, 0.26010878419597033, 0.26030093320103187, 0.26050311078987987, 0.26071579434238973, 0.26093949716352144, 0.26117477160343938, 0.26142221253112252, 0.26168246120855804, 0.26195620961999194, 0.26224420531952608, 0.26254725687066655, 0.26286623996381125, 0.2632021043123644, 0.26355588144579828, 0.26392869353913317, 0.26432176344387792, 0.2647364261163706, 0.26517414167711362, 0.26563651038059838, 0.26612528983154921, 0.26664241485297607, 0.26719002049754381, 0.26777046880101057, 0.26838638001072002, 0.26904066919120873, 0.26973658932307842, 0.2704777822842151, 0.27126833945254719, 0.27211287412180563, 0.27301660851026976, 0.27398547891421637, 0.27502626357791793, 0.27614673921229893, 0.27735587392483901, 0.27866406681037514, 0.28008344786707629, 0.28162825664197627, 0.28331532466877446, 0.28516469623334184, 0.28720043566374592, 0.28945168933694065, 0.29195410032946012, 0.29475171863058508, 0.29789961920431463, 0.3014675493614401, 0.30554510265185364, 0.31024920652980381, 0.31573520306916963, 0.32221366262351075, 0.32997662809847006, 0.33943991784598082, 0.35121387274571153, 0.36622681937121143, 0.38595148578134719, 0.4128451008470217, 0.45126551124010067, 0.5095369229150627, 0.60503974919295045, 0.77773174705959347, 1.1232250007963531, 1.7639172043437787, 1.9309826643988788, 1.0787946249389531, 0.59084834670578568, 0.40342983669044041, 0.32598667522524127, 0.29072659856114996, 0.27375066538207166, 0.2655928719132683, 0.26206921425935586, 0.26115906159751534, 0.26181626735339747, 0.26346898082277898, 0.26579111101503566, 0.26859045164449524, 0.27175060528182449, 0.27519924043523369, 0.27888989555201493, 0.28279104694617629, 0.28687920821542529, 0.29113433464011867, 0.29553658562010848, 0.30006392130263404, 0.30469025109791054, 0.30938399743919093, 0.31410703066400636, 0.31881399126461857, 0.32345205338845595, 0.32796120145483953, 0.33227509000131183, 0.33632253439027904, 0.3400296368457672, 0.34332249118198316, 0.34613033704170681, 0.34838896092446597, 0.35004408003827853, 0.35105440980342001, 0.35139411767019491, 0.35105440980342489, 0.3500440800382878, 0.34838896092446581, 0.34613033704170626, 0.34332249118198799, 0.34002963684576398, 0.33632253439027893, 0.33227509000131195, 0.32796120145484325, 0.32345205338845689, 0.31881399126461518, 0.31410703066400025, 0.30938399743919398, 0.30469025109791037, 0.30006392130263682, 0.29553658562011098, 0.29113433464011745, 0.28687920821541996, 0.28279104694618218, 0.27888989555201804, 0.27519924043523269, 0.27175060528182704, 0.26859045164449369, 0.26579111101503577, 0.26346898082277947, 0.2618162673533978, 0.26115906159751401, 0.2620692142593597, 0.2655928719132718, 0.27375066538207321, 0.290726598561176, 0.3259866752252325, 0.40342983669035615, 0.59084834670595965, 1.0787946249387563, 1.9309826643983854, 1.76391720434363, 1.1232250007965525, 0.77773174705961989, 0.60503974919303793, 0.50953692291506969, 0.45126551124010011, 0.41284510084702347, 0.38595148578133781, 0.3662268193712081, 0.35121387274570515, 0.33943991784598826, 0.32997662809847367, 0.32221366262351431, 0.3157352030691758, 0.3102492065298037, 0.30554510265184748, 0.30146754936143749, 0.29789961920431884, 0.29475171863058564, 0.29195410032945884, 0.28945168933693965, 0.28720043566374454, 0.28516469623333957, 0.28331532466877279, 0.28162825664197411, 0.28008344786707645, 0.27866406681037509, 0.27735587392483996, 0.27614673921229865, 0.27502626357791882, 0.27398547891421643, 0.27301660851026877, 0.2721128741218044, 0.27126833945254847, 0.27047778228421487, 0.26973658932307798, 0.26904066919120939, 0.26838638001072107, 0.2677704688010118, 0.26719002049754359, 0.26664241485297574, 0.26612528983154915, 0.26563651038059749, 0.26517414167711362, 0.2647364261163716, 0.2643217634438772, 0.26392869353913229, 0.26355588144579778, 0.26320210431236452, 0.26286623996381148, 0.26254725687066671, 0.26224420531952547, 0.261956209619991, 0.26168246120855787, 0.26142221253112269, 0.26117477160343905, 0.26093949716352066, 0.26071579434238945, 0.26050311078988053, 0.2603009332010322, 0.26010878419596939, 0.25992621951251027, 0.2597528254760687, 0.25958821671605914, 0.2594320341018681, 0.25928394287490764, 0.25914363095613052, 0.25901080741089988, 0.25888520105530466, 0.25876655918989871, 0.25865464644846314, 0.25854924375084598, 0.25845014735021143, 0.25835716796606556, 0.25827012999547333, 0.25818887079568642, 0.25811324003216629, 0.25804309908665385, 0.2579783205205553, 0.25791878758941017, 0.25786439380469273, 0.25781504253964133, 0.25777064667617988, 0.25773112829032546, 0.25769641837383644, 0.25766645659009252, 0.25764119106250261, 0.25762057819397066, 0.25760458251615126, 0.2575931765674922, 0.25758634079921894, 0.25758406350862134, 0.25758520203878377, 0.25758861819506917, 0.25759431367545893, 0.25760229131184004, 0.25761255507290082, 0.25762511006818878, 0.25763996255332744, 0.25765711993642959, 0.25767659078570387, 0.25769838483826024, 0.25772251301015559, 0.25774898740767488, 0.25777782133989613, 0.25780902933253036, 0.25784262714310324, 0.25787863177747838, 0.2579170615077746, 0.25795793589170235, 0.25800127579337523, 0.25804710340560827, 0.25809544227380482, 0.25814631732142396, 0.25819975487711921, 0.25825578270360811, 0.25831443002831789, 0.25837572757589655, 0.25843970760264323, 0.25850640393296986, 0.25857585199793992, 0.25864808887600399, 0.25872315333603091, 0.25880108588272693, 0.25888192880456906, 0.25896572622436476, 0.25905252415259455, 0.25914237054364125, 0.25923531535509942, 0.25933141061029547, 0.25943071046422389, 0.25953327127307624, 0.25963915166755563, 0.25974841263024417, 0.25986111757720221, 0.25997733244411547, 0.26009712577722499, 0.26022056882938255, 0.26034773566153047, 0.26047870324997596, 0.26061355159984501, 0.26075236386513267, 0.26089522647581725, 0.2610422292725163, 0.26119346564924295, 0.26134903270484366, 0.26150903140376541, 0.2616735667468485, 0.26184274795293488, 0.26201668865209482, 0.26219550709144457, 0.26237932635452782, 0.26256827459539228, 0.26276248528858442, 0.26296209749639249, 0.26316725615485037, 0.26337811238010189, 0.26359482379696836, 0.26381755489168313, 0.26404647739104004, 0.26428177067036629, 0.26452362219307718, 0.26477222798480177, 0.26502779314544977, 0.26529053240296141, 0.26556067071289874, 0.26583844390853117, 0.2661240994066118, 0.26641789697466894, 0.26672010956630304, 0.26703102423182595, 0.26735094311242313, 0.26768018452709536, 0.26801908416276471, 0.26836799637926601, 0.26872729564251141, 0.26909737810076456, 0.26947866332106324, 0.26987159620502116, 0.27027664910595151, 0.27069432417223099, 0.27112515594538728, 0.27156971424539511, 0.27202860738041457, 0.27250248572365854, 0.27299204570644264, 0.27349803428394009, 0.27402125393880489, 0.27456256829816605, 0.27512290845139387, 0.27570328007030531, 0.27630477145029869, 0.27692856261073995, 0.2775759356168116, 0.27824828631325615, 0.27894713769457496, 0.27967415517706518, 0.2804311640875225, 0.2812201697433217, 0.28204338057143302, 0.28290323480303392, 0.28380243138971734, 0.28474396592213225, 0.28573117249892016, 0.28676777270191467, 0.28785793309391278, 0.28900633298308293, 0.29021824461289497, 0.29149962846464283, 0.29285724703646482, 0.29429880133569297, 0.29583309545515224, 0.29747023608718864, 0.29922187578491394, 0.30110151137893104, 0.30312485244233234, 0.30531027941015915, 0.30767941739804711, 0.31025786064953037, 0.31307609493723848, 0.32337525755320301, 0.33773514962306289, 0.35912108544107368, 0.39397464275905203, 0.45863782254261193, 0.6046887178262601, 1.0394556160041033, 1.7610109350797043, 0.69372930755609297, 0.35426654757307047, 0.27664659504831107, 0.25308922358156039, 0.24473213428771573, 0.24162897252340881, 0.24056221668604225, 0.24031917473357536, 0.24039622704435806, 0.24057278422634229, 0.24075133601747109, 0.24089108056326017, 0.24097818561491702, 0.24101165996881468, 0.2409963515474072, 0.2409393882895127, 0.24084836022993089, 0.24073041372182205, 0.24059183471127782, 0.24043789640159571, 0.24027284810348462, 0.24009997612666167, 0.23992169745124992, 0.23973966395553237, 0.23955486492070785, 0.2393677214181007, 0.23917816967568051, 0.23898573256817501, 0.23878957953977001, 0.23858857589205248, 0.2383813226665257, 0.23816618845778101, 0.2379413345006364, 0.23770473434502754, 0.23745418941336008, 0.23718734176885448, 0.23690168555521782, 0.23659457885677465, 0.23626325825863559, 0.23590485928954996, 0.23551644741428993, 0.23509506664781957, 0.23463781675488585, 0.23414197633118444, 0.23360519948347019, 0.23302583123782167, 0.23240341644135953, 0.23173952846835102, 0.23103913594595751, 0.23031289427085797, 0.22958106792013591, 0.22888041674465984, 0.2282766646006624, 0.2278879333669992, 0.22793081991060613, 0.2288161147066248, 0.23136154385834692, 0.23730608962345773, 0.25069266782673644, 0.28212354498812553, 0.36424801338405671, 0.61737633713046458, 1.3980476081376922, 1.679086104088481, 0.98132467040769022, 0.64775010004982692, 0.50235828043346775, 0.42801270887748066, 0.38466714376795358, 0.35686664384648975, 0.33773522346182389, 0.32384257602148342, 0.31331740706739963, 0.30506426254072694, 0.29840440297813825, 0.29289723723267103, 0.28824542553303401, 0.28424157429329716, 0.28073686220624228, 0.27762182625626436, 0.27481418918981648, 0.27225092430248959, 0.26988296219821023, 0.26767160450564714, 0.26558608703432646, 0.26360196319463364, 0.26170012974585277, 0.25986643505489737, 0.25809192967672012, 0.25637398050765631, 0.25471873948663465, 0.25314596936528344, 0.25169827996580679, 0.25045913191237262, 0.24958935705557644, 0.24940554253409425, 0.25056109257950643, 0.254505839229966, 0.2648045969273673, 0.29158210514727345, 0.37000589215217505, 0.65328437403304074, 1.4591323244402465, 1.0965857252092002, 0.63821109348465088, 0.46994185439515568, 0.39588023066807632, 0.35671774986755117, 0.33322195859157083, 0.31784774567028323, 0.30715870109039284, 0.29940603615545874, 0.29362248155223275, 0.28923822339415522, 0.28590139724329966, 0.28338743524439486, 0.28155041106421658, 0.28029572428915633, 0.27956437932113737, 0.27932403296044961, 0.27948406715496593, 0.27996860860972494, 0.28079136559625173, 0.28197654937590572, 0.28356113978815622, 0.28559855205560747, 0.28816435197646989, 0.29136513387128732, 0.29535250579043248, 0.30034567278130719, 0.30666912811297953, 0.31481816682987845, 0.32557844753376175, 0.34025728537422062, 0.36116350592626251, 0.39269051450072434, 0.44401962665816985, 0.53666718773198641, 0.72714654055176242, 1.1482768942035224, 1.5500721016441072, 0.93490468960196338, 0.50589082106777694, 0.35508151996271436, 0.29700355951343171, 0.27151672842807129, 0.25931648326799572, 0.25323062030683668, 0.25022464062617522, 0.24887693176782535, 0.2484666244765244, 0.24860476909294424, 0.24907092446227935, 0.24973515940963431, 0.25051846783390203, 0.25137162506597066, 0.25226339690999638, 0.25317371862727156, 0.2540896228868228, 0.25500274191519884, 0.25590773883624651, 0.25680130227383718, 0.2576814905353294, 0.25854729735801524, 0.25939836075289441, 0.26023476586344374, 0.261056910575373, 0.26186541364102928, 0.26266105203571599, 0.26344471872457581, 0.26421739492905971, 0.26498013291133549, 0.26573404659651029, 0.26648030824716334, 0.26722015003505345, 0.26795486981323019, 0.2686858407406042, 0.2694145246932495, 0.27014248964386312, 0.27087143142765624, 0.27160320056110027, 0.27233983506071463, 0.27308360054623532, 0.27383703933454889, 0.27460303077520276, 0.27538486579580695, 0.27618633958698763, 0.27701186766279989, 0.277866632330451, 0.27875676910901187, 0.27968960617448069, 0.28067397496967145, 0.28172061746249705, 0.28284272635922703, 0.28405667079250074, 0.28538298473062373, 0.28684773380903478, 0.28848443738106438, 0.29033682196479221, 0.29246284816922746, 0.29494073824677425, 0.2978782372057816, 0.30142727068776271, 0.30580794444775905, 0.31134940193596367, 0.31856259674791632, 0.32827691359827366, 0.34191289272891406, 0.36206660284253461, 0.39386309257533525, 0.44831189425509316, 0.5503337386095366, 0.74282228303380982, 0.91408499872274063, 0.66489839145107354, 0.41630016839782114, 0.31654651927011906, 0.27875449488540649, 0.2655001053870002, 0.26605429649948537, 0.28192046750036764, 0.33016408595615254, 0.47841969414091517, 0.99619994417194069, 1.7689029274925721, 1.136337387135937, 0.7111365046723277, 0.53773816811742026, 0.45487921686588934, 0.40897568894830738, 0.38071880819399112, 0.36196629496036736, 0.34881556436620731, 0.33920233951747625, 0.33194795501637081, 0.32633758236674126, 0.32191625873557861, 0.31838289254730273, 0.31553181620080883, 0.3132189197500273, 0.31134119157284101, 0.30982391649542163, 0.30861242842697789, 0.307666673363655, 0.30695756828619974, 0.30646454955898361, 0.30617394171067025, 0.30607792123377275], [0.28080768810162793, 0.28104004296176927, 0.28174721901222544, 0.28296101480312064, 0.2847396731367946, 0.28717717576495977, 0.29041974315018687, 0.29469492583230955, 0.30036441375786432, 0.30802483779042111, 0.318713655600803, 0.33436781816165645, 0.35896599462145085, 0.40181783795099396, 0.48902208465468278, 0.71285464291084144, 1.3475277842799962, 1.01874871666164, 0.43468077654604381, 0.30255845069985488, 0.26606482448028473, 0.25406119499795859, 0.25013429191937464, 0.24934597039776593, 0.2499092565576331, 0.25109141048206424, 0.25256591675579199, 0.25418000105225802, 0.25586139292512983, 0.25757763024573066, 0.2593171229499473, 0.26107993358555853, 0.26287318391947118, 0.26470879927917512, 0.26660251431010262, 0.26857362235324012, 0.27064522565160054, 0.27284489150609287, 0.27520571144987366, 0.2777678324489023, 0.28058060321379852, 0.28370557391356033, 0.28722072712939273, 0.29122653748327021, 0.29585481847190698, 0.30128192984826796, 0.30774900127866933, 0.31559380216346905, 0.32530263114003266, 0.33759801401197714, 0.35359342535262706, 0.37508016706912795, 0.40509086749870549, 0.44908246366518212, 0.51761120600160149, 0.63283720585164493, 0.84470300646279017, 1.2586817207067873, 1.8913696755738485, 1.8197913211698371, 1.0589862227085374, 0.62336942036788523, 0.433126263567086, 0.34432110105631308, 0.29860438422540492, 0.27307549391772196, 0.25790167487251736, 0.24844709419877362, 0.24234512671504599, 0.23830679167907656, 0.23559293733645473, 0.23376284891225221, 0.23254717901823815, 0.23178079335114379, 0.23136650503178069, 0.2312560694784116, 0.23144212315432114, 0.23195876526497797, 0.232891461257866, 0.23440046344281226, 0.23676808964685164, 0.24049345488676044, 0.24649041607839056, 0.25653059443959081, 0.27432970555123054, 0.30854045801351321, 0.38228746222612392, 0.568769953921205, 1.1186221407341352, 2.0404169718818612, 1.4025980148070369, 0.80027300082551411, 0.55712313897425836, 0.44647158879998172, 0.38780041882549487, 0.35293723765168583, 0.33043576132090935, 0.3149932322897302, 0.3038864145312854, 0.29559919821010494, 0.28923147371968405, 0.28422024901231491, 0.28019791606491468, 0.27691564500749233, 0.27419978477245893, 0.27192593623824146, 0.27000294238710615, 0.26836267358951604, 0.26695332108706626, 0.26573488121050115, 0.26467604577816867, 0.26375201750912913, 0.26294294748475611, 0.26223279933089494, 0.26160851147041142, 0.26105937105538468, 0.26057654053510093, 0.26015269585328282, 0.25978174737558313, 0.25945862290877075, 0.25917909789493626, 0.25893966188489786, 0.25873741325965904, 0.25856997623773192, 0.25843543572135791, 0.25833228666108049, 0.25825939546998222, 0.25821597167665977, 0.25820154852747934, 0.25820391765928474, 0.25821102915298028, 0.25822289531755316, 0.25823953671521882, 0.25826098223263122, 0.25828726918123956, 0.25831844342750332, 0.2583545595538479, 0.25839568105148625, 0.2584418805464565, 0.25849324006047486, 0.25854985130845859, 0.2586118160349023, 0.25867924639152218, 0.25875226535905443, 0.25883100721632463, 0.25891561806026009, 0.25900625638088531, 0.25910309369591839, 0.2592063152501447, 0.25931612078538452, 0.25943272538766493, 0.25955636041895014, 0.25968727454180346, 0.2598257348463911, 0.25997202809044739, 0.26012646206423434, 0.26028936709410455, 0.26046109770011905, 0.26064203442524331, 0.2608325858561083, 0.2610331908580924, 0.26124432105074841, 0.26146648355336671, 0.26170022403486864, 0.26194613010738682, 0.26220483510889075, 0.26247702232734638, 0.26276342972722133, 0.26306485524910872, 0.2633821627649291, 0.26371628878521003, 0.26406825003166395, 0.26443915200836476, 0.26483019872898395, 0.26524270378680115, 0.26567810298965688, 0.26613796882531421, 0.26662402707562144, 0.26713817596310752, 0.26768250829417034, 0.26825933716314865, 0.26887122590664436, 0.26952102315451315, 0.27021190402242418, 0.27094741874310113, 0.2717315503560675, 0.27256878349130731, 0.27346418682128981, 0.27442351246028202, 0.27545331651784055, 0.27656110624599578, 0.27775552087161642, 0.27904655544060192, 0.2804458400550055, 0.28196699110375523, 0.28362605698377685, 0.28544208914916513, 0.2874378812825879, 0.28964093676788655, 0.29208475031289982, 0.29481052811177033, 0.29786952985761433, 0.30132630779632136, 0.30526326442091983, 0.3097871893268403, 0.31503883602567739, 0.32120728998142212, 0.32855210958136111, 0.33743849602350218, 0.34839512843049913, 0.36221314057741522, 0.38012353131188925, 0.40413285944983229, 0.43770023215456899, 0.48720867267486279, 0.56544925253907696, 0.70062192921069444, 0.96026162170028717, 1.4865730358918743, 2.1052218396031375, 1.5112610138937876, 0.77822400142442705, 0.47847519744143785, 0.35976067054617333, 0.30760815414695464, 0.28284044295916255, 0.27072785638810609, 0.26504657806019261, 0.26289597460323783, 0.26281524215978935, 0.26402285056959696, 0.26608067559879411, 0.2687341896908782, 0.27183149013686841, 0.27527998160149492, 0.27902203759038141, 0.28302066405488135, 0.28725062929356249, 0.29169266934498478, 0.29632946574183133, 0.30114267069606832, 0.30611057806006486, 0.31120623002422426, 0.31639587092798654, 0.32163774155759017, 0.32688126446090426, 0.33206670860141219, 0.3371254403039558, 0.34198086439801051, 0.34655013170221849, 0.35074663514251514, 0.35448323920361302, 0.35767609366553177, 0.36024878582719688, 0.362136503056188, 0.36328982799295984, 0.36367778722107313, 0.36328982799296572, 0.36213650305619866, 0.36024878582719627, 0.35767609366553116, 0.35448323920361857, 0.35074663514251148, 0.34655013170221843, 0.34198086439801079, 0.33712544030395969, 0.33206670860141313, 0.3268812644609006, 0.32163774155758373, 0.31639587092799026, 0.31120623002422404, 0.30611057806006814, 0.30114267069607059, 0.29632946574183022, 0.29169266934497901, 0.28725062929356898, 0.28302066405488474, 0.27902203759038052, 0.27527998160149758, 0.27183149013686664, 0.26873418969087826, 0.2660806755987945, 0.26402285056959707, 0.26281524215978835, 0.26289597460324055, 0.26504657806019521, 0.27072785638810826, 0.28284044295918059, 0.30760815414694842, 0.35976067054611488, 0.47847519744154343, 0.77822400142429049, 1.5112610138931923, 2.1052218396029558, 1.4865730358921641, 0.96026162170032814, 0.70062192921081912, 0.56544925253908696, 0.4872086726748629, 0.43770023215457127, 0.40413285944982025, 0.38012353131188553, 0.36221314057740817, 0.34839512843050768, 0.33743849602350662, 0.3285521095813651, 0.32120728998142928, 0.31503883602567723, 0.30978718932683341, 0.30526326442091689, 0.30132630779632619, 0.29786952985761489, 0.29481052811176917, 0.29208475031289882, 0.28964093676788494, 0.28743788128258568, 0.28544208914916319, 0.28362605698377452, 0.28196699110375534, 0.2804458400550055, 0.27904655544060275, 0.2777555208716162, 0.27656110624599667, 0.27545331651784061, 0.27442351246028091, 0.27346418682128865, 0.27256878349130842, 0.27173155035606739, 0.2709474187431008, 0.27021190402242495, 0.26952102315451415, 0.26887122590664553, 0.26825933716314831, 0.2676825082941699, 0.2671381759631074, 0.26662402707562033, 0.26613796882531437, 0.26567810298965794, 0.26524270378680048, 0.264830198728983, 0.26443915200836421, 0.26406825003166401, 0.26371628878521042, 0.26338216276492932, 0.26306485524910822, 0.26276342972722022, 0.26247702232734615, 0.26220483510889098, 0.2619461301073866, 0.26170022403486787, 0.26146648355336632, 0.26124432105074902, 0.26103319085809262, 0.26083258585610719, 0.26064203442524297, 0.26046109770011783, 0.26028936709410416, 0.26012646206423445, 0.2599720280904475, 0.2598257348463906, 0.25968727454180324, 0.25955636041894942, 0.2594327253876646, 0.25931612078538557, 0.2592063152501442, 0.25910309369591938, 0.25900625638088592, 0.25891561806026031, 0.25883100721632424, 0.25875226535905493, 0.25867924639152373, 0.25861181603490185, 0.25854985130845942, 0.25849324006047469, 0.25844188054645667, 0.25839568105148641, 0.25835455955384767, 0.25831844342750315, 0.25828726918124006, 0.25826098223263061, 0.25823953671521899, 0.25822289531755366, 0.258211029152981, 0.25820391765928474, 0.25820154852747795, 0.25820273297245455, 0.25820628690454156, 0.25821221211584594, 0.2582205115952918, 0.25823118953175794, 0.25824425131847517, 0.2582597035586815, 0.25827755407257441, 0.25829781190555623, 0.25832048733778329, 0.25834559189505918, 0.25837313836107378, 0.2584031407910341, 0.25843561452668579, 0.25847057621279212, 0.25850804381507719, 0.25854803663968795, 0.25859057535420427, 0.25863568201026094, 0.25868338006779551, 0.25873369442103222, 0.25878665142620005, 0.25884227893108031, 0.25890060630645556, 0.25896166447950947, 0.25902548596927771, 0.25909210492421303, 0.25916155716198719, 0.25923388021158739, 0.25930911335783791, 0.25938729768845969, 0.25946847614377649, 0.25955269356920363, 0.25963999677065586, 0.25973043457304318, 0.25982405788197921, 0.25992091974891901, 0.26002107543987557, 0.26012458250794968, 0.26023150086987246, 0.26034189288678627, 0.26045582344955837, 0.26057336006884546, 0.26069457297025672, 0.26081953519489653, 0.26094832270566753, 0.26108101449968535, 0.26121769272722423, 0.26135844281763637, 0.2615033536127237, 0.26165251750809743, 0.26180603060307445, 0.26196399285975558, 0.26212650827194905, 0.26229368504468814, 0.26246563578514437, 0.2626424777058437, 0.26282433284111645, 0.26301132827789669, 0.26320359640199825, 0.26340127516117251, 0.26360450834636129, 0.26381344589268396, 0.26402824420190824, 0.26424906648825641, 0.26447608314968518, 0.26470947216691404, 0.26494941953280843, 0.26519611971492302, 0.26544977615440229, 0.26571060180472267, 0.26597881971419746, 0.26625466365660272, 0.26653837881477915, 0.26683022252263966, 0.26713046507165805, 0.26743939058865041, 0.26775729799245757, 0.26808450203812534, 0.26842133445819433, 0.268768145211978, 0.26912530385505701, 0.26949320104280811, 0.26987225018365246, 0.27026288925969416, 0.27066558283491998, 0.27108082427378699, 0.27150913819627137, 0.27195108319905692, 0.2724072548768437, 0.27287828918262025, 0.27336486617150813, 0.27386771417944045, 0.27438761449572197, 0.27492540659766501, 0.27548199402614248, 0.27605835099362885, 0.27665552983104635, 0.27727466939744572, 0.27791700459749685, 0.27858387717660016, 0.27927674799338381, 0.27999721100494684, 0.28074700924336482, 0.28152805311387341, 0.28234244140822395, 0.28319248550348425, 0.28408073731038436, 0.2850100216506381, 0.28598347388489737, 0.28700458378936072, 0.28807724689870018, 0.2892058248082236, 0.29039521627462689, 0.29165094139358, 0.29297924169154455, 0.29438719968612942, 0.29588288239464339, 0.29747551447309123, 0.29917568824241164, 0.30099561993601454, 0.30294946426625718, 0.30505370311476276, 0.30732762917204803, 0.3097939522155303, 0.31247956519670034, 0.31541652055002684, 0.31864328584761831, 0.33058135446477743, 0.34759777580858042, 0.37370194693187575, 0.41805740296163574, 0.50563272357572964, 0.72317464345573002, 1.4086226690409853, 1.440108331170721, 0.52021545065353791, 0.31940352939317729, 0.26771540855869219, 0.25076019334110233, 0.24450737177382509, 0.24216608308170157, 0.24138856411951815, 0.24124924702711223, 0.24135213697630567, 0.2415208440986778, 0.241677249811175, 0.24178946622521813, 0.2418478816675339, 0.24185352547542827, 0.2418121979654608, 0.2417314467680422, 0.24161901077110293, 0.24148204599508813, 0.24132677665923111, 0.24115837852752986, 0.24098098694094799, 0.24079776823837762, 0.24061101932566814, 0.24042227526758531, 0.24023241374057033, 0.24004175056174581, 0.23985012373544781, 0.23965696536487399, 0.23946136186455586, 0.23926210349006086, 0.23905772447252027, 0.23884653513580709, 0.23862664736904338, 0.2383959947864859, 0.23815234887554587, 0.2378933324517897, 0.23761643184895528, 0.23731900952618518, 0.23699831925008646, 0.23665152682277904, 0.23627574066334522, 0.23586805870761729, 0.23542564156191384, 0.23494582745486817, 0.23442631368769462, 0.2338654444459986, 0.23326267039379234, 0.23261928945054541, 0.23193965565540683, 0.23123318334428469, 0.23051773583992793, 0.2298254943396654, 0.22921342181106544, 0.22878258391758777, 0.22871536131298895, 0.22935088032712855, 0.2313477720104393, 0.23606357577217113, 0.24652916949317449, 0.27027923982228391, 0.32895643352541704, 0.49705159735436982, 1.0489667953932851, 1.879214791620416, 1.2459776110030356, 0.76001479530904803, 0.55652544335434151, 0.4586964018483512, 0.40425390973345043, 0.37050436265895426, 0.34786511902320649, 0.33174863412412153, 0.31973194232682595, 0.31043273130569693, 0.30301228298769067, 0.29693552949483371, 0.29184662194823702, 0.28750045553843534, 0.28372306275038128, 0.28038771580616684, 0.27739997856309073, 0.27468806570948689, 0.272196465690481, 0.26988164201910991, 0.26770910918929769, 0.26565146336880691, 0.26368712793527949, 0.26179970330365504, 0.25997792643384343, 0.25821638401503572, 0.25651733665385235, 0.25489439693091248, 0.25337957071153022, 0.25203680362581632, 0.25098888180601531, 0.25047356414607308, 0.25096868520298643, 0.25349560525263476, 0.26044015356881756, 0.27811522289581836, 0.32642799936330757, 0.48471081732737792, 1.0852120076356537, 1.4461159414641795, 0.79179172032502954, 0.52810575960533412, 0.42339144216256952, 0.37210740246734897, 0.34290203694813881, 0.32447560547655102, 0.31199703887429636, 0.30312078074728577, 0.29659504625660044, 0.29170257072622652, 0.2880099768074128, 0.28524538741572358, 0.2832345020337747, 0.28186549054807414, 0.281069138360935, 0.28080768810162793, 0.28098175980799522, 0.28150914700362895, 0.28240584776677602, 0.28370020823358005, 0.28543573406315259, 0.28767567961778162, 0.29051028152950581, 0.29406815302413974, 0.29853453661529439, 0.30418136946531088, 0.31141864933377905, 0.32088621550594937, 0.33362683239309016, 0.35143445190438738, 0.37761195445158507, 0.41878295954251293, 0.48973090313976003, 0.62780338361657828, 0.93349221445509123, 1.4963688497865042, 1.2780199900060882, 0.6475847925222582, 0.40560893633554485, 0.31819447254235583, 0.28182487319884614, 0.26495385747903255, 0.25662676603817047, 0.2524533725376254, 0.25046045033328884, 0.24967871012644619, 0.24959785464254586, 0.24993413011013801, 0.25052273247226664, 0.25126455981678369, 0.25209835783702211, 0.2529854548380488, 0.25390105959059317, 0.25482913027836845, 0.2557592598812144, 0.25668473741765507, 0.25760131451457075, 0.25850640574264289, 0.25939856169361541, 0.26027711699588152, 0.26114195257724571, 0.26199333378725198, 0.26283179968366094, 0.26365808735876578, 0.26447308064432878, 0.26527777607583225, 0.26607326133211617, 0.26686070293269332, 0.26764134104640197, 0.26841649001488427, 0.26918754373630521, 0.26995598546341626, 0.27072340189748273, 0.27149150174292752, 0.27226213915586917, 0.27303734279799208, 0.27381935151959791, 0.2746106580687343, 0.27541406268917101, 0.2762327390699279, 0.27707031589930015, 0.27793097833542124, 0.27881959514528593, 0.27974187924765581, 0.28070459216288096, 0.28171580678461111, 0.28278524849362169, 0.28392474278127061, 0.28514880957759697, 0.28647546253263295, 0.28792729909437903, 0.28953301024777833, 0.29132950731730223, 0.29336497505890635, 0.29570334757497996, 0.29843102662914522, 0.30166723751121866, 0.3055804811994195, 0.3104155893147279, 0.31654001804782772, 0.3245267947132664, 0.33531132767832011, 0.35050699561283372, 0.37308775845225844, 0.40898524370202849, 0.47107804126668584, 0.58856789547221022, 0.80707422013673935, 0.95998634388841664, 0.6614916396874404, 0.4145133347447551, 0.31684204775179686, 0.27836658384520047, 0.26251494779970963, 0.25732822992962096, 0.25981179126875659, 0.27244291603793069, 0.3067573545995157, 0.40322508513147765, 0.72255864048201657, 1.6247097888730195, 1.4925665789795679, 0.86975229493640605, 0.61028689913743384, 0.49480129397245076, 0.43428313011067843, 0.39846822311486946, 0.37536298186956552, 0.35949497470846786, 0.34807775831005822, 0.3395670932116408, 0.33304842745802948, 0.32795075350739783, 0.32390207623672412, 0.32065157609703976, 0.31802539602132263, 0.3159003791368844, 0.31418787174152957, 0.31282341720976575, 0.31176003337389441, 0.31096375059095599, 0.31041062967215866, 0.31008478943769813, 0.30997715933060915], [0.28215004922423242, 0.28240356752654694, 0.28317592942906805, 0.28450436126784978, 0.28645740179539414, 0.28914652246419015, 0.29274703859442752, 0.29753565264003912, 0.30396018766293009, 0.31277655084702488, 0.32533863702157362, 0.34427401870051494, 0.37526802628942302, 0.43261381032799473, 0.56053367725346526, 0.92823905571186438, 1.5368726426387536, 0.6788644920422181, 0.36000681290662345, 0.284091259336547, 0.26092830912646259, 0.25302810233566231, 0.25059783214234421, 0.25041420444378126, 0.25123567308452355, 0.2525301959915891, 0.25405331941144688, 0.25568855407906149, 0.25738067685339788, 0.25910566681555269, 0.26085636425022307, 0.26263536703027307, 0.26445146930339219, 0.2663179422071939, 0.2682518442810472, 0.27027397021821914, 0.27240926111922814, 0.27468762100232991, 0.27714516668192374, 0.27982601030554544, 0.28278475613606768, 0.28609000593955963, 0.28982933851618214, 0.29411650402754175, 0.29910203358041704, 0.30498925955541423, 0.31205916476663004, 0.32071012022028322, 0.33152368306426855, 0.34537798735742337, 0.36365239061142446, 0.38861718876308188, 0.42422360713883495, 0.47782455542574676, 0.56422918587986304, 0.7159259713273558, 1.0078443826682459, 1.5700306849213099, 2.094205407936768, 1.5001848044011186, 0.82594809714034112, 0.51941958522645837, 0.3847478404273435, 0.31941845568816268, 0.28459884788293183, 0.26462381419528053, 0.25250794179542974, 0.24484373670596121, 0.23984148873681566, 0.2365034341042361, 0.23424640229731997, 0.23271723049929499, 0.23169734009478937, 0.23105135892054726, 0.23069896118988475, 0.23059995207316406, 0.23074791004615902, 0.2311706768152513, 0.23193823604111413, 0.23318117907900787, 0.2351275212637679, 0.23817525205173196, 0.24304073673867782, 0.25108210805760839, 0.26506627448613568, 0.29119645905427866, 0.34526169687202368, 0.47465182441914167, 0.84705320840150455, 1.8333938766324429, 1.7854463423677318, 0.96652549509745866, 0.62379123010436588, 0.47852247724308777, 0.40566429617729854, 0.36402688673078587, 0.33789141334948358, 0.32031972392740632, 0.30787739858981056, 0.29870605768128689, 0.29172696512769419, 0.28627756793063991, 0.28193167112942474, 0.27840436617885234, 0.2754989106181337, 0.27307562867504082, 0.27103296239114427, 0.26929552076296076, 0.26780631219077616, 0.26652156052553605, 0.2654071633507184, 0.26443622121716653, 0.2635872814878808, 0.26284306897995352, 0.26218955449330322, 0.26161526191590528, 0.26111074645487625, 0.26066819741461461, 0.26028113286676885, 0.25994416300198453, 0.25965280546147529, 0.2594033404973427, 0.25919269703801345, 0.25901836305605669, 0.25887831532841471, 0.25877096493257157, 0.25869511576656767, 0.25864993410733322, 0.25863492779585034, 0.25863739254197077, 0.25864479109232208, 0.25865713639798565, 0.25867445009454665, 0.25869676257815344, 0.25872411311271759, 0.2587565499690288, 0.25879413059674095, 0.2588369218304496, 0.25888500013132654, 0.2589384518660488, 0.25899737362503727, 0.25906187258237379, 0.25913206690003077, 0.25920808617954227, 0.25929007196452203, 0.25937817829801835, 0.25947257233911841, 0.25957343504383584, 0.25968096191593687, 0.25979536383406071, 0.25991686796236463, 0.26004571875274962, 0.26018217904783997, 0.26032653129504235, 0.26047907888335081, 0.26064014761612486, 0.26081008733482491, 0.26098927371073222, 0.26117811022399567, 0.26137703035208221, 0.26158649999281763, 0.26180702015084367, 0.26203912992055117, 0.26228340980348325, 0.26254048540400682, 0.26281103155381486, 0.26309577692385772, 0.26339550919171917, 0.26371108084372202, 0.26404341570431938, 0.26439351630128471, 0.26476247219426796, 0.26515146941721723, 0.26556180121281248, 0.26599488027062734, 0.26645225272150391, 0.26693561419055034, 0.26744682827236449, 0.26798794786771579, 0.26856123991455022, 0.2691692141629658, 0.26981465679012412, 0.27050066983543131, 0.27123071767010398, 0.27200868201341938, 0.27283892739092663, 0.27372637942510886, 0.27467661899403095, 0.27569599614032758, 0.27679176873367545, 0.27797227238614958, 0.27924713013592206, 0.28062751315805357, 0.28212646753277082, 0.28375932734569564, 0.28554424177308696, 0.28750285432088818, 0.28966118758135401, 0.29205080915561643, 0.29471038760339391, 0.29768779765251069, 0.3010430117630456, 0.30485213802602612, 0.30921316279567385, 0.31425428500003921, 0.3201462884575092, 0.32712138093118459, 0.33550271489881928, 0.34575218213598069, 0.3585507474227706, 0.37493945238723941, 0.39657973166879679, 0.42626336558490296, 0.46898371952623463, 0.53437670603397569, 0.64280192713740825, 0.84159948370891491, 1.2433352150543613, 1.9567091125441503, 1.986820197159775, 1.0706207905595531, 0.59338417205462668, 0.40882033455618094, 0.3311058084209626, 0.29510043917424078, 0.27748790285736247, 0.26888244567399044, 0.26507795709890897, 0.26401987341573269, 0.26463463378962493, 0.26633130846786435, 0.26877156378120115, 0.2717560587217957, 0.27516501304994617, 0.2789254917845953, 0.28299251788574453, 0.28733762873599339, 0.29194156371235708, 0.29678929540919313, 0.30186641098146771, 0.30715628394343381, 0.31263772773952231, 0.31828297830648461, 0.32405595815436911, 0.32991085136637105, 0.33579107704153011, 0.34162879018132319, 0.34734506115199182, 0.35285088230173334, 0.35804911738476153, 0.36283744273941781, 0.36711223031365808, 0.37077320048856749, 0.37372854400088906, 0.37590010020903891, 0.37722810868372825, 0.37767504382562889, 0.37722810868373485, 0.37590010020905129, 0.37372854400088873, 0.37077320048856693, 0.3671122303136648, 0.36283744273941371, 0.35804911738476142, 0.35285088230173317, 0.34734506115199654, 0.34162879018132408, 0.33579107704152561, 0.32991085136636378, 0.32405595815437327, 0.31828297830648444, 0.31263772773952592, 0.3071562839434363, 0.3018664109814666, 0.29678929540918686, 0.29194156371236413, 0.28733762873599711, 0.28299251788574359, 0.27892549178459847, 0.27516501304994434, 0.27175605872179581, 0.26877156378120143, 0.26633130846786435, 0.26463463378962421, 0.26401987341573446, 0.26507795709891119, 0.26888244567399261, 0.27748790285737612, 0.29510043917423601, 0.33110580842092474, 0.40882033455625094, 0.59338417205454774, 1.0706207905591372, 1.9868201971598016, 1.9567091125443365, 1.243335215054407, 0.84159948370909732, 0.64280192713742246, 0.53437670603397991, 0.46898371952623608, 0.42626336558488775, 0.39657973166879323, 0.37493945238723081, 0.35855074742278076, 0.34575218213598613, 0.33550271489882405, 0.32712138093119242, 0.32014628845750909, 0.31425428500003144, 0.30921316279567101, 0.30485213802603139, 0.30104301176304643, 0.29768779765250936, 0.29471038760339285, 0.29205080915561477, 0.28966118758135179, 0.28750285432088607, 0.28554424177308463, 0.28375932734569576, 0.28212646753277076, 0.28062751315805445, 0.27924713013592189, 0.27797227238615058, 0.27679176873367545, 0.27569599614032636, 0.27467661899402973, 0.27372637942511013, 0.27283892739092641, 0.27200868201341882, 0.27123071767010487, 0.27050066983543236, 0.26981465679012534, 0.26916921416296558, 0.26856123991454994, 0.26798794786771563, 0.26744682827236343, 0.26693561419055045, 0.26645225272150491, 0.26599488027062645, 0.26556180121281142, 0.26515146941721668, 0.26476247219426813, 0.2643935163012851, 0.26404341570431972, 0.26371108084372158, 0.263395509191718, 0.2630957769238576, 0.26281103155381502, 0.26254048540400654, 0.26228340980348241, 0.26203912992055078, 0.26180702015084423, 0.26158649999281791, 0.26137703035208104, 0.26117811022399523, 0.26098927371073116, 0.26081008733482436, 0.26064014761612503, 0.26047907888335098, 0.26032653129504174, 0.26018217904783969, 0.26004571875274901, 0.25991686796236424, 0.25979536383406177, 0.25968096191593648, 0.25957343504383695, 0.25947257233911897, 0.25937817829801862, 0.2592900719645217, 0.25920808617954283, 0.25913206690003232, 0.25906187258237345, 0.25899737362503816, 0.25893845186604869, 0.25888500013132665, 0.25883692183044982, 0.25879413059674078, 0.25875654996902858, 0.25872411311271798, 0.25869676257815283, 0.25867445009454682, 0.25865713639798604, 0.25864479109232269, 0.25863739254197088, 0.25863492779584896, 0.25863616004186601, 0.25863985741046902, 0.25864602179400092, 0.25865465634862217, 0.25866576549771164, 0.25867935493663569, 0.25869543163888198, 0.25871400386359944, 0.25873508116454336, 0.25875867440043626, 0.25878479574678864, 0.25881345870918393, 0.25884467813807532, 0.25887847024510052, 0.25891485262097919, 0.258953844255011, 0.25899546555622716, 0.2590397383762354, 0.25908668603382384, 0.25913633334134645, 0.25918870663300592, 0.25924383379503868, 0.25930174429790898, 0.25936246923058603, 0.25942604133697178, 0.25949249505458033, 0.25956186655555041, 0.25963419379012215, 0.25970951653264873, 0.25978787643028822, 0.25986931705450228, 0.25995388395548868, 0.26004162471969822, 0.26013258903059411, 0.26022682873284081, 0.26032439790007211, 0.26042535290647456, 0.26052975250236771, 0.26063765789403776, 0.26074913282805906, 0.26086424368035838, 0.260983059550357, 0.26110565236044175, 0.26123209696116123, 0.26136247124246836, 0.26149685625144597, 0.26163533631691688, 0.26177799918141936, 0.26192493614105622, 0.26207624219376541, 0.26223201619662773, 0.26239236103284375, 0.26255738378911875, 0.26272719594422084, 0.26290191356957576, 0.26308165754281715, 0.26326655377534308, 0.26345673345495119, 0.26365233330483762, 0.26385349586026718, 0.26406036976441788, 0.26427311008503895, 0.26449187865370327, 0.26471684442967813, 0.26494818389056751, 0.26518608145219913, 0.26543072992040634, 0.26568233097772637, 0.26594109570828539, 0.26620724516458671, 0.26648101098026755, 0.26676263603339606, 0.26705237516539826, 0.26735049596128885, 0.26765727959756247, 0.26797302176486038, 0.26829803367339922, 0.26863264315010388, 0.26897719583754331, 0.26933205650599418, 0.26969761049145147, 0.27007426527402806, 0.27046245221308718, 0.27086262845767595, 0.27127527905323534, 0.27170091926855228, 0.27214009717013665, 0.27259339647512426, 0.27306143971818536, 0.27354489177313235, 0.27404446377586533, 0.27456091750232053, 0.27509507026324415, 0.27564780038718451, 0.27622005337435995, 0.27681284881723778, 0.27742728819942147, 0.27806456370283628, 0.278725968175285, 0.27941290643672823, 0.28012690813388275, 0.28086964239056683, 0.28164293454637651, 0.28244878533123846, 0.28328939288978433, 0.28416717815055953, 0.28508481413421444, 0.2860452599166034, 0.2870518001131287, 0.28810809093719925, 0.2892182141182334, 0.29038674025601047, 0.29161880355548431, 0.29292019035150751, 0.29429744442632538, 0.29575799288406063, 0.29731029732977765, 0.29896403637983415, 0.30073032720618159, 0.30262199603047579, 0.30465391043029955, 0.30684339027728535, 0.30921071949012047, 0.31177978812671558, 0.31457890449159182, 0.31764183112990502, 0.3210091186626513, 0.32472984019089846, 0.33868460207712064, 0.35907326891026686, 0.39142294870884009, 0.44911883926508467, 0.57173605457805732, 0.91063294033979669, 1.8335651900575058, 0.99645438294377953, 0.4210092604944265, 0.29716528021924937, 0.26158156010165667, 0.24914836609816299, 0.24442628350183385, 0.24265762518158068, 0.24209877001451616, 0.24203451426048669, 0.2421508618006647, 0.24230611059794949, 0.24243771592284585, 0.2425210821199669, 0.24255010233076441, 0.24252750385895583, 0.24245989371961585, 0.24235517481220309, 0.24222120796189806, 0.24206514893491063, 0.24189315757993951, 0.24171031227920836, 0.24152063507041152, 0.24132717270904006, 0.24113210182255734, 0.24093683981791658, 0.24074215134341123, 0.24054824505564029, 0.24035485844290042, 0.24016133024176819, 0.23996666100513186, 0.23976956292226623, 0.23956850023913609, 0.23936172170129782, 0.23914728642416139, 0.23892308454329506, 0.23868685395372394, 0.23843619444962078, 0.23816858066311355, 0.23788137542239257, 0.23757184557362965, 0.2372371830428264, 0.23687453511598139, 0.23648104985113994, 0.23605394563248105, 0.23559061884697147, 0.23508881171519455, 0.23454687552449802, 0.23396418657672433, 0.2333418097348175, 0.23268356990683259, 0.23199780882398219, 0.23130031989984101, 0.23061936399386895, 0.23000447953676073, 0.22954247444971859, 0.229387622721336, 0.22982146205807927, 0.23137826220128627, 0.23512768302251622, 0.24337053588087879, 0.2615542283393989, 0.30435148031440745, 0.418558815370633, 0.77935488518513152, 1.7325470115025079, 1.6039916656380846, 0.92463068238629786, 0.63056541064415073, 0.49813080860279557, 0.42827944655538031, 0.38664045911300426, 0.35950864742005112, 0.34061961204710711, 0.32678240648464846, 0.31622801301856496, 0.30790760859476024, 0.30116468892743209, 0.29556954202962438, 0.29083017593799093, 0.28674176356166148, 0.28315662730777519, 0.27996572184610441, 0.27708683077029178, 0.27445683357530387, 0.27202652821465839, 0.26975711664916702, 0.26761781974332083, 0.26558430750790146, 0.26363777880477729, 0.26176464368819119, 0.25995688653776339, 0.25821336181060217, 0.25654256932021519, 0.25496802060015095, 0.25353847487537373, 0.25234789564171956, 0.25157603979899801, 0.25157599879942522, 0.2530779033500925, 0.25771149428841639, 0.26952804817776382, 0.30024371231324931, 0.39172525402519359, 0.73165142908740011, 1.5787154821270013, 1.0469693070283146, 0.61707405238972768, 0.46129049947470863, 0.39174822011823834, 0.35456553141024599, 0.33210002497199076, 0.31734683296712085, 0.3070855435255011, 0.29966644316806351, 0.29417349426828293, 0.29006660561505493, 0.28701340207164294, 0.28480397402534852, 0.28330518452612596, 0.28243531993710125, 0.28215004922423242, 0.2823399629136486, 0.28291576299408971, 0.28389622409413884, 0.28531473014727426, 0.28722279448137428, 0.28969585974648193, 0.29284255347642923, 0.29681949295521337, 0.30185544396776975, 0.30829199814690811, 0.31665489897982607, 0.32778548069576408, 0.34309786045839952, 0.36512003136239518, 0.39873676790983842, 0.45436227124176642, 0.5570507443242112, 0.77458272752695434, 1.2606198197418175, 1.5824208282816639, 0.87270989944779853, 0.48289807687831909, 0.34819455046962372, 0.29551624830531836, 0.27204996189214303, 0.26069136664969339, 0.25498567078290268, 0.25216256617070909, 0.25090825963808627, 0.25054954274344876, 0.25071983402377984, 0.25120964739142798, 0.2518945623414468, 0.25269837331696271, 0.25357326505953826, 0.25448868522697654, 0.2554248686522741, 0.25636894970976354, 0.25731256485311599, 0.25825033925115648, 0.25917891197447057, 0.26009629701880682, 0.26100145819255116, 0.26189402280283386, 0.26277408700441057, 0.26364208267973049, 0.26449868628358386, 0.26534475677433939, 0.26618129406368135, 0.26700941224182489, 0.26783032372002707, 0.26864533171373606, 0.26945582938200913, 0.27026330457868286, 0.27106934964972274, 0.27187567609067448, 0.2726841342027555, 0.27349673818972631, 0.2743156974490607, 0.27514345515762906, 0.27598273566379017, 0.27683660271002219, 0.2777085311690351, 0.27860249584344005, 0.27952308204121462, 0.28047562422013433, 0.28146638117386763, 0.28250275927652913, 0.28359359961048436, 0.28474955098289834, 0.2859835598343104, 0.28731152134667365, 0.28875315606526514, 0.29033320699060994, 0.29208309997295784, 0.29404328670144736, 0.29626661466211646, 0.29882327857913638, 0.30180827147079753, 0.30535290370084234, 0.30964316494230565, 0.31495003767803409, 0.3216816018567924, 0.33047688542619713, 0.34238438229496171, 0.35922391511516, 0.38437578458366389, 0.42464317445537936, 0.49492999403375154, 0.62899554967923199, 0.87375917876212106, 1.0023314406914001, 0.66156381661070507, 0.41540053438263586, 0.31879426688542029, 0.27984792929807373, 0.26277225856648634, 0.25534515271017466, 0.25339230416920511, 0.25624910965945291, 0.26619373466777424, 0.29112597141015517, 0.356065163514662, 0.55322590918323178, 1.2196731926493696, 1.8449434504101538, 1.1144228845850159, 0.71524157179321435, 0.54843399548943639, 0.46644966914347258, 0.42012247848021056, 0.39120545185034622, 0.37181994174589089, 0.35812279920150869, 0.34805421612620491, 0.34042617817935733, 0.33451256999764001, 0.32984849245461173, 0.32612494021272587, 0.32313025663787709, 0.32071598980948746, 0.31877616114521234, 0.31723424940877309, 0.31603479685396729, 0.3151378915996047, 0.31451550939657269, 0.31414910938579882, 0.31402812094343713], [0.28557495067141503, 0.28585447189971008, 0.28670699691090462, 0.28817666908982703, 0.29034522675998586, 0.2933467683309115, 0.29739472297083325, 0.30283124548661933, 0.31022130934193842, 0.32054344854474376, 0.33560985939835208, 0.35909658763493518, 0.3994502865556635, 0.47975481018895855, 0.67949102844159959, 1.276722302465497, 1.2150343475644507, 0.48977131621171699, 0.32016260357236198, 0.27458196191912621, 0.25958077840082294, 0.25443482873702583, 0.25308100149122353, 0.25336078826619007, 0.25439600682045871, 0.25579554994920689, 0.25737504419323143, 0.25904553930221752, 0.26076521821310805, 0.26251698310323818, 0.2642975262129485, 0.26611184374760161, 0.26797048888057684, 0.26988829364952643, 0.27188394619096512, 0.27398013062952908, 0.27620410721571931, 0.27858871339875957, 0.28117384384403371, 0.28400854353798238, 0.28715394298998437, 0.29068740135365173, 0.29470843688074028, 0.29934737381596288, 0.30477822846264668, 0.31123839958668104, 0.31905962505520874, 0.32871825486435113, 0.34091998172835902, 0.35674889121999809, 0.37794300799643959, 0.40743406266282262, 0.45047857525902063, 0.51721743193495473, 0.62895168733993834, 0.8342990791890289, 1.2429305521281786, 1.9350815562592658, 2.0013845864406186, 1.1619945274017798, 0.66157936529772809, 0.44857151408782575, 0.35157583173052875, 0.3025568790849229, 0.2755614641307802, 0.2596887258209275, 0.24988310358830074, 0.24359555443837902, 0.23945053183471324, 0.23666407267555836, 0.23476964788498014, 0.23348055055525627, 0.23261720024332144, 0.23206729767269876, 0.23176367425182046, 0.23167244025984468, 0.23178790995167772, 0.23213301783438892, 0.23276566339020027, 0.23379345554508985, 0.2354027673221793, 0.23791509787309889, 0.24190006383778795, 0.24841548263464966, 0.25955906107956739, 0.2798699334410879, 0.32037473891319851, 0.41229865284496781, 0.66205646623047509, 1.4306529445397045, 2.1401869723635691, 1.2152911727069673, 0.72004110147685874, 0.52326164580171308, 0.43053065398376128, 0.37981794743769992, 0.34896052334153976, 0.32867909217460062, 0.31456084887086433, 0.30429044187971838, 0.29655600566276119, 0.29056729081128557, 0.28582396212929129, 0.2819959274408762, 0.27885775787053346, 0.27625091723642919, 0.27406106757147369, 0.27220392734601323, 0.270616175820034, 0.26924943837310789, 0.26806621054901214, 0.26703703511499755, 0.2661385085447257, 0.26535184845726395, 0.26466184789152974, 0.26405610110921751, 0.26352442311084373, 0.26305840944134573, 0.26265109903045475, 0.26229671371750846, 0.26199045558354567, 0.26172834841317466, 0.26150711327903919, 0.26132407086952048, 0.26117706508896849, 0.26106440386749802, 0.26098481417393632, 0.26093740903538043, 0.26092166500445202, 0.26092425044482093, 0.26093201134157518, 0.26094496143793783, 0.26096312369363828, 0.26098653036686931, 0.26101522312981157, 0.26104925321857342, 0.26108868161859045, 0.2611335792868244, 0.26118402741236318, 0.26124011771732836, 0.26130195280029761, 0.26136964652484074, 0.26144332445606017, 0.26152312434856961, 0.26160919668965604, 0.26170170530200804, 0.26180082801086807, 0.2619067573811516, 0.2620197015307632, 0.26213988502712565, 0.2622675498748987, 0.2624029566037942, 0.26254638546663595, 0.26269813775909689, 0.26285853727404912, 0.26302793190520746, 0.26320669541671837, 0.26339522939763527, 0.26359396542283214, 0.26380336744498062, 0.2640239344457217, 0.26425620337827965, 0.26450075243855325, 0.26475820470730793, 0.26502923221268837, 0.26531456046995827, 0.26561497356453467, 0.26593131985513058, 0.26626451838671139, 0.26661556611818266, 0.26698554608805097, 0.26737563666323527, 0.26778712204265664, 0.26822140421921375, 0.2686800166426519, 0.26916463987322653, 0.26967711957421936, 0.27021948726287986, 0.2707939843279677, 0.27140308993212775, 0.27204955355500365, 0.27273643310606621, 0.27346713975495401, 0.2742454909055953, 0.27507577309690578, 0.27596281707260295, 0.27691208785961896, 0.27792979347563707, 0.27902301691637965, 0.28019987744342589, 0.28146972903208389, 0.28284340633019661, 0.28433353188889193, 0.2859549031444813, 0.28772498423523568, 0.28966453709699896, 0.29179843972552222, 0.29415675908263578, 0.29677617511324134, 0.29970189597135921, 0.30299027143361257, 0.30671241606605609, 0.3109593208859911, 0.31584920599426242, 0.32153832695989587, 0.32823724500472584, 0.33623599824549111, 0.34594426250344601, 0.35795772538704917, 0.37317232642090198, 0.39299037172395501, 0.41971350085714576, 0.45734211342623604, 0.51333013282189177, 0.60278394953138481, 0.75939226555295425, 1.0640330872210961, 1.6737836966754349, 2.2521602329850423, 1.4938764560171329, 0.77331549974902591, 0.48350009659229787, 0.36633440531444, 0.31379910603986588, 0.2884153937937613, 0.27580798981420834, 0.26979733550704599, 0.26746276597473456, 0.26731672307568266, 0.26855639943416632, 0.27072911573946618, 0.2735714189450496, 0.27692681886288434, 0.2807014326057754, 0.28483888379857586, 0.28930540873256727, 0.29408055604709027, 0.29915102312326391, 0.30450627208540193, 0.31013515589152357, 0.31602311591649801, 0.3221497118918501, 0.32848637663858576, 0.33499438441943241, 0.34162309894451443, 0.34830863098047005, 0.354973085152127, 0.36152460499449496, 0.36785842572633465, 0.37385910624762014, 0.37940402912104121, 0.38436813014177973, 0.38862965792693832, 0.39207659051995192, 0.39461318151237873, 0.3961660075802762, 0.39668887269484393, 0.39616600758028431, 0.39461318151239339, 0.39207659051995125, 0.38862965792693788, 0.38436813014178717, 0.37940402912103671, 0.3738591062476207, 0.36785842572633454, 0.36152460499450023, 0.35497308515212783, 0.34830863098046511, 0.34162309894450649, 0.33499438441943735, 0.32848637663858571, 0.32214971189185398, 0.31602311591650079, 0.31013515589152257, 0.30450627208539516, 0.29915102312327174, 0.29408055604709432, 0.28930540873256622, 0.2848388837985793, 0.28070143260577335, 0.27692681886288434, 0.27357141894504988, 0.27072911573946606, 0.26855639943416587, 0.26731672307568366, 0.26746276597473634, 0.26979733550704871, 0.27580798981421834, 0.2884153937937583, 0.31379910603983896, 0.36633440531448541, 0.48350009659224646, 0.77331549974877389, 1.4938764560173192, 2.2521602329848456, 1.6737836966754545, 1.0640330872213943, 0.75939226555297357, 0.60278394953138714, 0.5133301328218941, 0.45734211342621645, 0.4197135008571416, 0.39299037172394441, 0.37317232642091458, 0.35795772538705511, 0.34594426250345123, 0.33623599824550027, 0.32823724500472534, 0.32153832695988749, 0.31584920599425903, 0.31095932088599715, 0.30671241606605715, 0.30299027143361101, 0.29970189597135777, 0.2967761751132395, 0.29415675908263322, 0.29179843972552005, 0.2896645370969963, 0.2877249842352359, 0.28595490314448135, 0.28433353188889271, 0.28284340633019628, 0.28146972903208489, 0.28019987744342584, 0.27902301691637832, 0.27792979347563579, 0.2769120878596204, 0.27596281707260278, 0.2750757730969054, 0.27424549090559597, 0.27346713975495512, 0.27273643310606732, 0.27204955355500332, 0.27140308993212747, 0.2707939843279677, 0.2702194872628787, 0.26967711957421936, 0.26916463987322753, 0.26868001664265123, 0.2682214042192127, 0.26778712204265614, 0.26737563666323549, 0.26698554608805136, 0.26661556611818288, 0.26626451838671089, 0.26593131985512941, 0.26561497356453456, 0.26531456046995849, 0.26502923221268793, 0.26475820470730704, 0.26450075243855287, 0.26425620337828026, 0.26402393444572186, 0.26380336744497945, 0.26359396542283176, 0.26339522939763399, 0.26320669541671782, 0.26302793190520762, 0.26285853727404912, 0.26269813775909628, 0.26254638546663572, 0.26240295660379365, 0.26226754987489842, 0.26213988502712687, 0.26201970153076282, 0.26190675738115271, 0.26180082801086879, 0.26170170530200837, 0.26160919668965565, 0.26152312434857017, 0.26144332445606172, 0.2613696465248404, 0.26130195280029844, 0.26124011771732825, 0.2611840274123633, 0.26113357928682462, 0.26108868161859033, 0.2610492532185732, 0.26101522312981201, 0.26098653036686864, 0.2609631236936385, 0.26094496143793822, 0.26093201134157584, 0.26092425044482109, 0.26092166500445046, 0.26092295759003042, 0.26092683601834304, 0.26093330230485889, 0.26094235981116182, 0.26095401324866918, 0.26096826868384676, 0.26098513354491865, 0.2610046166301157, 0.26102672811746142, 0.26105147957610997, 0.26107888397928397, 0.26110895571881632, 0.26114171062135266, 0.26117716596621898, 0.26121534050502854, 0.26125625448304918, 0.26129992966238791, 0.26134638934704341, 0.26139565840989437, 0.26144776332165526, 0.26150273218192527, 0.26156059475234178, 0.26162138249195427, 0.26168512859490806, 0.26175186803050776, 0.26182163758578442, 0.26189447591065107, 0.26197042356579925, 0.26204952307341939, 0.26213181897090587, 0.26221735786769601, 0.26230618850538412, 0.26239836182128534, 0.26249393101563046, 0.26259295162260105, 0.26269548158538358, 0.26280158133550735, 0.26291131387667616, 0.26302474487338928, 0.26314194274461949, 0.2632629787628421, 0.2633879271587985, 0.26351686523228618, 0.2636498734694287, 0.26378703566679795, 0.26392843906288871, 0.26407417447741421, 0.26422433645897386, 0.26437902344167991, 0.26453833791138187, 0.26470238658219403, 0.26487128058406367, 0.26504513566223331, 0.26522407238948653, 0.26540821639217366, 0.26559769859109639, 0.26579265545845615, 0.26599322929212982, 0.26619956850875653, 0.26641182795716439, 0.2666301692538896, 0.26685476114269618, 0.26708577988018184, 0.26732340964982765, 0.2675678430070183, 0.26781928135791983, 0.26807793547532716, 0.26834402605501739, 0.268617784316456, 0.26889945265221521, 0.26918928533089004, 0.26948754925889479, 0.26979452480713717, 0.27011050670926756, 0.27043580503901132, 0.27077074627500114, 0.27111567446256879, 0.27147095248309988, 0.27183696344294395, 0.27221411219535241, 0.2726028270107056, 0.27300356141226328, 0.27341679619696579, 0.27384304166350548, 0.27428284007282722, 0.27473676836983757, 0.2752054411990465, 0.27568951425164456, 0.27618968798689941, 0.276706711777157, 0.2772413885330684, 0.27779457987434808, 0.278367211921486, 0.27896028179573584, 0.27957486492875683, 0.28021212329979023, 0.28087331473802701, 0.28155980345102666, 0.28227307196797935, 0.28301473471994776, 0.28378655351909909, 0.28459045524730675, 0.28542855212260709, 0.28630316498290259, 0.28721685011246623, 0.28817243024242917, 0.28917303048627974, 0.29022212013172349, 0.29132356140933563, 0.29248166660672165, 0.29370126520827072, 0.29498778313311508, 0.29634733664188023, 0.29778684411797568, 0.29931415974484404, 0.30093823415491427, 0.30266930849836032, 0.3045191501795535, 0.30650134088766684, 0.3086316307176577, 0.31092837643863441, 0.31341308774789822, 0.31611111326910696, 0.31905250901909543, 0.32227314741856011, 0.32581614666739861, 0.32973373150023189, 0.33408968169752984, 0.35067571723909752, 0.37558762342237295, 0.41665867558731379, 0.49414111612391759, 0.67357392751151868, 1.2200725849227292, 1.8897845646285381, 0.69811060631743993, 0.36426203387958433, 0.28430114157434894, 0.25907328098850335, 0.24980981785792675, 0.24622578828327146, 0.24490184293621489, 0.2445189295623659, 0.24451699007754021, 0.24464486930180235, 0.24478836521140324, 0.24489770919008372, 0.24495452913656227, 0.24495586621080959, 0.24490608561666816, 0.24481265999419594, 0.24468394711881261, 0.24452803541106147, 0.24435217735614143, 0.24416255124029684, 0.24396420553807974, 0.24376110189780104, 0.24355620740462963, 0.24335160709810919, 0.24314861992084147, 0.24294790874195044, 0.24274957969847036, 0.24255326891232326, 0.24235821632407989, 0.24216332734754448, 0.24196722355530445, 0.24176828382843307, 0.24156467745929974, 0.24135439066341152, 0.24113524788975332, 0.24090492926035173, 0.24066098545473608, 0.24040085141968331, 0.24012186047435874, 0.23982126075794882, 0.23949623662479375, 0.23914393867621761, 0.23876152786016674, 0.23834624184456621, 0.23789549629649001, 0.23740704081543945, 0.23687920085234371, 0.23631125610317236, 0.23570403815484955, 0.2350608857822887, 0.23438919451165305, 0.23370297542333079, 0.23302717250096061, 0.232405137547122, 0.23191197742729469, 0.23167928251298076, 0.23194301545635507, 0.23314135240964898, 0.2361280891909229, 0.24267732887068294, 0.25680453938961467, 0.28869936234403115, 0.36846621221143222, 0.6024307079779907, 1.3429342175784791, 1.9507486866626937, 1.1754769033478645, 0.74009320722158844, 0.55422756247723615, 0.46186002830466327, 0.40919555743155278, 0.37598701720748307, 0.35343545743230026, 0.33723429495041751, 0.32507009886111982, 0.31560552070913006, 0.30802058106252861, 0.30178772147236371, 0.29655364615397706, 0.29207360864742732, 0.2881730660906574, 0.28472437068577133, 0.28163209911960779, 0.27882354197763798, 0.27624238739456919, 0.27384445198845392, 0.27159477537014554, 0.26946567022110157, 0.26743549685631862, 0.26548806109928358, 0.26361265416239249, 0.26180490070604245, 0.26006881252932268, 0.2584208674538585, 0.25689777704020023, 0.25557141300774244, 0.25457848486961576, 0.25418266383630178, 0.25491376028225615, 0.25790790406428488, 0.26583800115684625, 0.28586433216422519, 0.34102157025676566, 0.52573627778407483, 1.2212139041250012, 1.4253307617430524, 0.76610949990907407, 0.51976349551929146, 0.42085099166217982, 0.37183834527296505, 0.34371282124756869, 0.32589554428974804, 0.31382001087199973, 0.30525396073129535, 0.29900117001731574, 0.29437545467683007, 0.29096347731575484, 0.28850850765118136, 0.28684976827651637, 0.28588948962166338, 0.28557495067141503, 0.28578432785820779, 0.28641964664137798, 0.28750322087931746, 0.28907488300823536, 0.2911964612362502, 0.29395923258975326, 0.29749597862399924, 0.30200059668517493, 0.30776075869714131, 0.31521424780536511, 0.32505062538170415, 0.33840512730421285, 0.35725407750603266, 0.38528956257983044, 0.43005470034499044, 0.508796312682126, 0.66638085804979175, 1.0247044166300923, 1.6173580760787651, 1.1999908732525169, 0.60590920129747294, 0.39376421690978736, 0.31600111667114467, 0.28302596972018246, 0.26750978246161122, 0.25978174817145405, 0.25589621283191893, 0.25405293409306018, 0.25335642845275885, 0.2533301835721547, 0.25370673903864932, 0.25432944052052542, 0.25510335254203675, 0.25596936486385974, 0.25688989614033597, 0.25784068885290873, 0.25880594122061185, 0.25977533499042649, 0.26074217510119319, 0.26170219987598847, 0.262652805702904, 0.26359253365199636, 0.26452072495396861, 0.26543728734146943, 0.26634253542518321, 0.26723708132924884, 0.268121760015744, 0.26899757898124887, 0.2698656854315355, 0.27072734631078488, 0.27158393809724496, 0.27243694433920207, 0.27328795966217773, 0.27413869953959308, 0.27499101555993416, 0.27584691629583435, 0.27670859422465655, 0.27757845949925164, 0.27845918175291218, 0.27935374157756998, 0.28026549387852834, 0.28119824603326216, 0.28215635473473288, 0.28314484667660278, 0.28416956997546472, 0.28523738562264445, 0.28635641160950043, 0.28753633711778348, 0.28878883098612956, 0.2901280786039605, 0.29157149610323202, 0.29314069288683031, 0.2948627875430318, 0.29677223543441217, 0.29891341144718436, 0.30134433107724218, 0.30414212829239606, 0.30741131681306877, 0.31129659364638945, 0.31600330687182993, 0.32183135624487347, 0.32923368295288047, 0.33892207806885588, 0.35206945215501961, 0.37072218019059372, 0.39870495953596286, 0.44376876806931814, 0.52299049655233276, 0.67476431960598204, 0.9446285758362799, 1.0420896333796004, 0.66597222752357288, 0.41996908152835294, 0.32351627362221042, 0.28396427941924229, 0.26608253316727942, 0.25756246264305732, 0.25381276062357055, 0.25324968905985118, 0.25595270778673956, 0.26379374327139604, 0.28229699446580514, 0.32747788068376765, 0.45312915496445821, 0.8681054524703461, 1.846842475842553, 1.481161879641087, 0.87832045832881089, 0.62739495903602072, 0.51221877866558474, 0.45050865752781999, 0.41343088606891421, 0.38925403803974362, 0.37252103424975119, 0.36041354412749588, 0.35135294216457347, 0.34439672159958146, 0.33895281759089346, 0.33463380999854619, 0.33117774993933391, 0.32840288649525101, 0.32618063524268281, 0.3244188483436255, 0.32305115675097601, 0.32203003645091682, 0.32132225055206476, 0.32090587424193878, 0.32076843203043404], [0.29082448154721724, 0.29113565418922466, 0.29208588135879104, 0.29372816024994036, 0.29616124351625395, 0.29954870770206998, 0.3041543635875299, 0.31040854742252566, 0.31903798158312868, 0.33133845418753788, 0.34980278468191339, 0.37975197483547979, 0.43429891526407116, 0.55289964877536502, 0.8844363939793467, 1.5942569432459173, 0.79613221665174994, 0.3934731545681307, 0.29925321276185657, 0.2708979888156921, 0.2611019071792825, 0.25786317576675205, 0.25730521762737402, 0.25795053819013497, 0.25916855934829314, 0.26066895560083531, 0.26231203127658242, 0.26403004594231605, 0.26579189208008841, 0.26758626018233833, 0.26941327455673364, 0.27128025988400611, 0.27319964705181449, 0.275188066404985, 0.27726616667554338, 0.27945894556552436, 0.28179651615747714, 0.28431532420460964, 0.2870599078399943, 0.29008537538569312, 0.29346088976331919, 0.2972746173637143, 0.30164086982579397, 0.30671061770324165, 0.31268733156595568, 0.31985149151676545, 0.32859967090224956, 0.33950904702826029, 0.35344818466129746, 0.37177620778307446, 0.39672051230659899, 0.43213914094347244, 0.48517495157298063, 0.57014655333885222, 0.71842272950751973, 1.0034096019266845, 1.568109278706826, 2.2048590646380974, 1.6607397921054958, 0.89836098808181897, 0.55026398673366883, 0.40046611972768698, 0.32910754824992527, 0.29160457229764913, 0.27032640906489391, 0.25753519199936686, 0.24950272215113381, 0.24428953513080859, 0.24082213523845927, 0.23847593881062168, 0.23687293508547841, 0.23577758464377252, 0.23504068154689864, 0.23456805712155779, 0.23430294663504894, 0.23421646348227154, 0.23430350292709876, 0.2345830983573656, 0.23510358755649752, 0.23595452268974576, 0.2372898826276868, 0.23937244102602948, 0.24266104489337828, 0.24799171039633364, 0.25698157105122604, 0.2730173439518544, 0.30397688932728906, 0.37093547738878929, 0.54145540437527107, 1.0664266899450845, 2.1858482721830774, 1.5736624352745499, 0.86003639925568565, 0.58490838527189892, 0.46379146830614898, 0.40077144156674133, 0.36374058890414751, 0.34000596262072263, 0.32379022649251982, 0.31216188769903108, 0.30350277555324301, 0.29685819204348052, 0.29163381316117654, 0.28744297597037038, 0.28402469118398499, 0.28119722869686531, 0.27883063477994979, 0.27682982075380119, 0.27512380426925154, 0.27365866266355909, 0.27239279781605152, 0.27129368115723806, 0.27033557038089823, 0.26949787847739187, 0.26876398960407633, 0.26812038670009697, 0.26755600027567855, 0.26706171656713368, 0.26663000219034799, 0.26625461512389381, 0.26593038050772638, 0.26565301573450339, 0.26541899351945414, 0.26522543463464199, 0.26507002416317971, 0.26495094672277753, 0.26486683729957133, 0.26481674524313686, 0.26480010968747913, 0.26480284078957544, 0.2648110389868672, 0.26482471897003723, 0.26484390528257284, 0.26486863240975139, 0.26489894490408833, 0.26493489754817751, 0.26497655555608129, 0.26502399481474459, 0.26507730216720465, 0.26513657573969823, 0.26520192531510817, 0.2652734727556208, 0.26535135247779251, 0.26543571198382326, 0.2655267124531891, 0.26562452939948722, 0.26572935339788289, 0.26584139088931197, 0.26596086506835914, 0.26608801686261391, 0.26622310601238275, 0.26636641226068081, 0.26651823666482227, 0.26667890304237168, 0.26684875956591819, 0.26702818052309901, 0.26721756826053011, 0.26741735533289374, 0.26762800688139166, 0.26785002326926388, 0.2680839430060592, 0.2683303459970372, 0.26858985715953948, 0.26886315045456238, 0.26915095338931039, 0.26945405205533624, 0.26977329677739625, 0.27010960846053483, 0.27046398573777808, 0.27083751303841935, 0.27123136971811113, 0.27164684041745746, 0.27208532684659686, 0.27254836123058862, 0.27303762169593243, 0.27355494993413776, 0.27410237154668154, 0.2746821195600444, 0.27529666170434197, 0.27594873217968718, 0.27664136879833517, 0.27737795659742248, 0.27816227927946613, 0.27899858017289314, 0.27989163483561125, 0.28084683798233873, 0.28187030814374447, 0.28296901442144123, 0.2841509309698716, 0.28542522653004526, 0.28680249862577972, 0.28829506514805575, 0.28991733034321604, 0.29168624819580696, 0.29362191462002318, 0.29574833190217054, 0.29809440625418659, 0.30069526494154464, 0.30359401770080319, 0.30684414532998511, 0.31051278850467456, 0.31468535262171771, 0.31947207573944358, 0.32501759101985639, 0.33151517207062686, 0.33922850848506592, 0.34852597623282611, 0.35993639206629008, 0.37424324052001534, 0.39265109151977678, 0.41709500059042637, 0.45085143862457311, 0.49983290473905018, 0.57556410248709633, 0.70264150911959822, 0.93847762299992676, 1.4143243008933153, 2.1766677485725339, 1.9868729191045729, 1.0486239826758195, 0.59636958380387739, 0.41782308760586689, 0.3406736422075014, 0.30418562739546506, 0.28604425297278518, 0.27705940007850904, 0.27303726864901767, 0.27189987986955305, 0.27254939863965277, 0.27437677422665996, 0.27703192413880434, 0.28030898188325271, 0.28408570498291058, 0.28828985583986361, 0.29287965437338698, 0.29783184637812665, 0.30313400172912713, 0.30877919145276017, 0.31476199557368323, 0.32107523420394868, 0.3277070710394438, 0.33463830129942762, 0.34183975219022189, 0.34926981780663635, 0.35687223365627208, 0.36457427156572275, 0.37228559955904356, 0.37989809367648653, 0.38728689599591043, 0.3943129707907031, 0.4008273078675062, 0.40667675679996446, 0.41171126020774185, 0.41579201707626695, 0.41879989124077061, 0.42064323477585891, 0.42126426438112546, 0.42064323477586779, 0.41879989124078865, 0.41579201707626606, 0.41171126020774157, 0.40667675679997317, 0.40082730786750126, 0.3943129707907036, 0.38728689599591032, 0.37989809367649247, 0.372285599559045, 0.36457427156571681, 0.35687223365626286, 0.34926981780664229, 0.34183975219022161, 0.33463830129943212, 0.32770707103944696, 0.32107523420394751, 0.31476199557367546, 0.30877919145276911, 0.30313400172913174, 0.29783184637812549, 0.2928796543733907, 0.2882898558398615, 0.28408570498291053, 0.28030898188325271, 0.27703192413880401, 0.27437677422665957, 0.27254939863965305, 0.27189987986955455, 0.27303726864902073, 0.27705940007851676, 0.28604425297278285, 0.30418562739544563, 0.34067364220753338, 0.41782308760583614, 0.59636958380371863, 1.0486239826759951, 1.9868729191041909, 2.1766677485724459, 1.4143243008937567, 0.93847762299994397, 0.70264150911960643, 0.57556410248710177, 0.49983290473902348, 0.450851438624569, 0.41709500059041327, 0.39265109151979183, 0.37424324052002333, 0.35993639206629674, 0.34852597623283682, 0.33922850848506547, 0.33151517207061704, 0.32501759101985245, 0.31947207573945052, 0.31468535262171859, 0.31051278850467307, 0.30684414532998344, 0.30359401770080108, 0.30069526494154175, 0.29809440625418432, 0.29574833190216765, 0.29362191462002341, 0.29168624819580696, 0.28991733034321687, 0.28829506514805581, 0.28680249862578072, 0.28542522653004537, 0.28415093096987037, 0.2829690144214399, 0.28187030814374592, 0.28084683798233839, 0.2798916348356108, 0.27899858017289414, 0.27816227927946729, 0.27737795659742387, 0.27664136879833484, 0.2759487321796868, 0.27529666170434186, 0.27468211956004318, 0.27410237154668166, 0.2735549499341387, 0.27303762169593149, 0.27254836123058757, 0.27208532684659614, 0.27164684041745757, 0.27123136971811157, 0.27083751303841958, 0.27046398573777752, 0.27010960846053356, 0.26977329677739603, 0.26945405205533629, 0.26915095338931, 0.26886315045456144, 0.26858985715953909, 0.26833034599703776, 0.26808394300605937, 0.26785002326926266, 0.26762800688139138, 0.26741735533289251, 0.26721756826052967, 0.26702818052309923, 0.26684875956591825, 0.26667890304237107, 0.26651823666482188, 0.2663664122606802, 0.26622310601238242, 0.26608801686261518, 0.26596086506835875, 0.26584139088931313, 0.26572935339788362, 0.2656245293994875, 0.26552671245318882, 0.26543571198382387, 0.26535135247779412, 0.26527347275562047, 0.26520192531510911, 0.26513657573969796, 0.26507730216720482, 0.26502399481474481, 0.26497655555608107, 0.26493489754817717, 0.26489894490408883, 0.26486863240975078, 0.26484390528257307, 0.26482471897003768, 0.26481103898686797, 0.26480284078957561, 0.26480010968747747, 0.26480147509487229, 0.26480557203763783, 0.26481240267834549, 0.26482197062399798, 0.26483428093012817, 0.26484934010654454, 0.26486715612472578, 0.26488773842690977, 0.26491109793688039, 0.26493724707246585, 0.2649661997598039, 0.26499797144937776, 0.26503257913388917, 0.26507004136797174, 0.26511037828983003, 0.26515361164482759, 0.26519976481109125, 0.26524886282718535, 0.26530093242193609, 0.26535600204644383, 0.26541410190842168, 0.26547526400887878, 0.2655395221812768, 0.26560691213326465, 0.26567747149107018, 0.26575123984668958, 0.265828258807976, 0.26590857205179524, 0.26599222538035117, 0.26607926678086002, 0.26616974648874769, 0.26626371705453034, 0.26636123341458334, 0.26646235296600085, 0.26656713564579254, 0.26667564401462096, 0.26678794334538586, 0.26690410171689732, 0.26702419011297862, 0.26714828252730871, 0.26727645607434708, 0.26740879110677818, 0.26754537133982143, 0.26768628398292732, 0.26783161987929305, 0.26798147365377956, 0.26813594386977074, 0.26829513319562037, 0.26845914858136743, 0.2686281014464611, 0.26880210787932191, 0.26898128884959616, 0.26916577043410012, 0.26935568405749344, 0.26955116674884627, 0.26975236141536174, 0.26995941713466304, 0.27017248946713113, 0.27039174079002393, 0.27061734065517967, 0.27084946617235744, 0.27108830242046039, 0.27133404288909552, 0.27158688995324431, 0.27184705538402654, 0.27211476089895953, 0.2723902387553902, 0.27267373239128179, 0.27296549711790441, 0.27326580086959679, 0.27357492501627284, 0.27389316524506691, 0.27422083251824264, 0.27455825411534074, 0.2749057747685103, 0.27526375790107005, 0.27563258698059823, 0.27601266699924498, 0.27640442609563565, 0.27680831733453315, 0.27722482066261117, 0.27765444506108566, 0.27809773091876455, 0.27855525265236042, 0.27902762160453642, 0.27951548925458441, 0.2800195507815314, 0.28054054902534542, 0.28107927889860901, 0.2816365923089672, 0.28221340366181374, 0.28281069602352821, 0.28342952803826471, 0.28407104170626585, 0.2847364711494042, 0.28542715251057232, 0.28614453515864097, 0.2868901944003398, 0.28766584593614858, 0.28847336234015275, 0.28931479189530196, 0.29019238017817295, 0.29110859486302204, 0.29206615430762933, 0.29306806059669277, 0.29411763785804018, 0.29521857683931052, 0.29637498694679754, 0.29759145721539088, 0.29887312801384558, 0.30022577571269926, 0.30165591307898987, 0.30317090884755138, 0.30477913079946528, 0.30649011781777191, 0.30831478787508076, 0.31026569085606626, 0.31235731769526365, 0.31460648074828934, 0.3170327849404046, 0.31965921551847598, 0.32251287684938368, 0.32562592865027101, 0.32903678277496878, 0.33279164742115858, 0.3369465397246994, 0.34156993736160485, 0.34674631313749998, 0.36679126541373575, 0.39785013233726219, 0.45135637234947928, 0.55913192217026797, 0.83430020172124297, 1.6815374768329545, 1.4379309338273443, 0.53017861901737728, 0.33145669647594461, 0.27765370634322001, 0.25933761880809797, 0.25235669955710038, 0.24963639011891522, 0.24866329175470073, 0.24842326298433526, 0.24847272819536789, 0.24860945307966126, 0.2487413620203395, 0.24882932370278338, 0.2488603580846018, 0.24883437283703422, 0.24875732300882322, 0.24863759383082051, 0.24848407774713047, 0.24830517538983307, 0.24810831328232466, 0.24789975358612582, 0.24768456741882203, 0.24746669634213028, 0.24724905714517748, 0.24703366324259529, 0.24682174714350208, 0.24661387537036417, 0.2464100515236432, 0.24620980585173408, 0.24601227128465164, 0.24581624680171374, 0.24562024947555933, 0.24542255673274602, 0.2452212404064941, 0.24501419410610589, 0.2447991553441243, 0.24457372378618564, 0.24433537695421023, 0.24408148475484079, 0.24380932436364361, 0.24351609732810633, 0.24319895134331351, 0.24285501013313626, 0.2424814164419784, 0.24207539563740801, 0.24163435138164108, 0.24115601114761279, 0.24063864955492148, 0.24008143421599967, 0.23948496667332242, 0.238852138525949, 0.23818950573978054, 0.23750953267098482, 0.23683433164243334, 0.23620204814144738, 0.23567808339438304, 0.23537551072697563, 0.23549377933975446, 0.23639581249819167, 0.23877110642619662, 0.24400721051273289, 0.25511733669428549, 0.27934141085764808, 0.33658357155572494, 0.49174019665655755, 0.9817178242964153, 1.9899168287486979, 1.5374652815895093, 0.90414374246680163, 0.63397585033546022, 0.50783059222965976, 0.43944171388121533, 0.39789454707587746, 0.37045886579294596, 0.35117173479849112, 0.33693943610449184, 0.326022570391097, 0.31737846818590759, 0.31034871966040911, 0.30449928121533182, 0.29953348264254975, 0.29524220124712053, 0.29147405392868941, 0.28811689027466109, 0.28508593273446453, 0.28231597273739051, 0.27975612867286931, 0.27736628100787775, 0.27511465415858977, 0.27297623363186357, 0.27093185664009162, 0.26896793725164347, 0.26707691927147542, 0.26525873710752434, 0.26352388602433824, 0.2618993211583413, 0.260439686900514, 0.25924921585739458, 0.25852635277548247, 0.25866032917234089, 0.2604570608531836, 0.26572299457424825, 0.27898361061784233, 0.31349373442968315, 0.41753379550793784, 0.80994297599791276, 1.6571983849258272, 1.0209311497689195, 0.61192759299465216, 0.46323544325814087, 0.39599791705444737, 0.35973559720687687, 0.33772209566431821, 0.32324656388285294, 0.31320093627997236, 0.3059858497151336, 0.30071190344655357, 0.29685606235935486, 0.29409944174991948, 0.29224514143573421, 0.2911746477483636, 0.29082448154721724, 0.29105754820745972, 0.29176537639168854, 0.29297481141627529, 0.29473398255059502, 0.29711808754009256, 0.30023913154658838, 0.30426191722789547, 0.30943054362659322, 0.31611353722842456, 0.32488382171140862, 0.33666773530951832, 0.35304038127348714, 0.37685663910839684, 0.4137282418466135, 0.47588220048788377, 0.59352761197938941, 0.85008116600038208, 1.409551505296917, 1.5501286700325838, 0.79923322598184465, 0.46246516587354908, 0.34538753370965869, 0.29847339642597287, 0.27718343771597004, 0.26675902668981227, 0.2615005114137024, 0.25891488044317534, 0.25780157733827169, 0.25753759423401884, 0.25778004169866908, 0.25833114847038008, 0.2590724812490493, 0.2599309589409366, 0.26086041191351422, 0.26183115246461208, 0.2628238635113046, 0.26382590667256922, 0.26482903222123017, 0.26582792561223112, 0.2668192664153658, 0.26780110846641736, 0.2687724656374727, 0.26973303176253899, 0.27068298965862381, 0.27162288033083104, 0.27255351352818213, 0.27347590722636178, 0.27439124776441354, 0.27530086509956653, 0.27620621948441709, 0.27710889713625636, 0.27801061336361288, 0.27891322227437426, 0.27981873270181712, 0.28072933041305403, 0.28164740705511992, 0.2825755966860734, 0.28351682116764365, 0.28447434619974654, 0.28545185039979953, 0.28645351062748781, 0.28748410780421724, 0.28854915888186528, 0.28965508252833588, 0.29080940873805855, 0.29202104626977227, 0.29330062705190385, 0.29466095422716121, 0.29611759149804834, 0.29768964772828072, 0.29940083532766176, 0.30128091870072943, 0.30336772823062647, 0.30571001015554833, 0.30837153856365812, 0.31143717878510507, 0.31502204891386987, 0.31928574877229504, 0.32445516127502833, 0.3308623215958254, 0.3390099575351973, 0.34969047192612079, 0.36421430271446253, 0.38487749357006729, 0.41599228865211002, 0.46634123386608067, 0.55532199965304863, 0.72592977706548023, 1.0190251827954435, 1.0799528410508599, 0.67434203026727546, 0.42765420078971472, 0.33054168536083978, 0.29014108642002662, 0.27153895037200348, 0.26232837454308572, 0.25769968035513957, 0.25571231425179475, 0.25575344464209127, 0.25813075488041171, 0.26433360980681769, 0.27830963012632465, 0.31065953229371351, 0.39389276025197911, 0.64672398900523431, 1.4458475197858203, 1.8949416985766709, 1.133645389826011, 0.74506274004290729, 0.57692205144749731, 0.49206690675477194, 0.44327859176781992, 0.41246520870141251, 0.39163713775957359, 0.37683427848437218, 0.36590921448532998, 0.35761259151552893, 0.35117584868219609, 0.3461046233933659, 0.34206936208727534, 0.33884408579202074, 0.33627048324633857, 0.33423602770410982, 0.33266021804296236, 0.33148572623552341, 0.33067263140952086, 0.3301946839182705, 0.33003697911310453], [0.29627281556479879, 0.29662085984616487, 0.29768514925736, 0.29952983885204515, 0.30227531816572867, 0.30612316304996356, 0.31140333127445591, 0.31866470953643594, 0.32885813779370243, 0.34373628930929756, 0.36682254440674983, 0.40609969124535977, 0.48293275703534927, 0.66890980669063582, 1.2269565375644602, 1.3812872673284295, 0.55138123333151068, 0.34313900458943303, 0.28815142425551965, 0.27008437966493998, 0.26372025240904823, 0.26182597645506894, 0.26185705981392221, 0.26278426030478608, 0.2641494462270868, 0.26573555583894193, 0.2674365053553634, 0.26920099906816025, 0.27100649559857837, 0.27284650016775147, 0.27472415281678775, 0.27664897625320517, 0.27863531151046805, 0.28070172863386589, 0.28287106857432437, 0.28517096649416035, 0.2876348220102779, 0.29030326572538762, 0.29322625100653893, 0.29646599652639766, 0.30010114225242451, 0.30423269404898357, 0.30899267832909205, 0.31455701397457114, 0.32116513417274917, 0.32915075061110999, 0.33899165881726867, 0.35139338692981698, 0.36743576441471953, 0.38884268839044589, 0.41850799631426788, 0.46159172205629506, 0.52798873971510218, 0.63836740420855509, 0.83986407175822619, 1.2417303146383831, 1.9638981435379199, 2.1718822624488268, 1.2840805374501927, 0.71416988712563279, 0.47400367330906445, 0.36654047979788856, 0.31301111859597314, 0.28386548367633313, 0.26688541109119862, 0.25647551615599878, 0.24984261742174194, 0.24549120546024855, 0.24257391977852269, 0.24058823701059082, 0.239225213733436, 0.23828984880318038, 0.23765730074171859, 0.23724808793815846, 0.23701393856225322, 0.23693007790190246, 0.23699189961082101, 0.23721527322251207, 0.23764078267905958, 0.23834342257502822, 0.23945130163739728, 0.24118090185575566, 0.24390522399233408, 0.24829209312836503, 0.25560426937284059, 0.26840880943291229, 0.29244620979330654, 0.3422890458613263, 0.46171823934669065, 0.81000269921965817, 1.8470272065610396, 2.0183791008524299, 1.0627934187171288, 0.66739923726903172, 0.50533867676908173, 0.42567626752763565, 0.38068811426687854, 0.35265601736764413, 0.33389772818105778, 0.32065625886200366, 0.31091601569934407, 0.30351430335956564, 0.29774034642543695, 0.29313857087869361, 0.28940527941430644, 0.28633121782118343, 0.28376809006182413, 0.28160822506346816, 0.27977178867103913, 0.27819849137491931, 0.27684206506718018, 0.27566649585640368, 0.27464339983164987, 0.2737501602150807, 0.27296858245249778, 0.27228390838684557, 0.2716840837363847, 0.27115920713509117, 0.27070111125845747, 0.27030304139318534, 0.26995940686335262, 0.26966558764889131, 0.26941778337221001, 0.26921289526273801, 0.26904843418203206, 0.26892244960108319, 0.26883347576853128, 0.26878049233327528, 0.2687628974860119, 0.26876578518636751, 0.26877445352233614, 0.26878891821784251, 0.2688092055436071, 0.2688353524139232, 0.2688674065231072, 0.26890542652264421, 0.2689494822403134, 0.26899965494292022, 0.26905603764459629, 0.2691187354629922, 0.26918786602606865, 0.2692635599326626, 0.26934596127037824, 0.26943522819501131, 0.26953153357611509, 0.26963506571409956, 0.26974602913485524, 0.26986464546874273, 0.26999115442165728, 0.27012581484686332, 0.27026890592749775, 0.27042072848083193, 0.27058160639693674, 0.2707518882260404, 0.27093194893077771, 0.27112219182176089, 0.27132305069742513, 0.27153499221204908, 0.27175851849921473, 0.27199417008194027, 0.27224252910527663, 0.27250422293251286, 0.27277992815238489, 0.27307037505201609, 0.2733763526189843, 0.27369871414606728, 0.27403838352435667, 0.27439636232473608, 0.27477373778493291, 0.27517169183977747, 0.27559151135699944, 0.27603459977058215, 0.27650249033968577, 0.27699686130487156, 0.277519553266804, 0.27807258917808625, 0.27865819741966746, 0.27927883853318947, 0.27993723630516587, 0.28063641405458933, 0.28137973717158316, 0.28217096320287016, 0.28301430109585851, 0.28391448161839072, 0.28487684149423509, 0.285907424474517, 0.28701310345631514, 0.28820172893642348, 0.28948231065584329, 0.2908652413976397, 0.29236257476032146, 0.29398837264969591, 0.29575914366730011, 0.29769440119614099, 0.2998173808104917, 0.30215597222040264, 0.30474394372286434, 0.30762257090246992, 0.31084283229025722, 0.31446841304449857, 0.31857988064097881, 0.3232805937266357, 0.32870522934910174, 0.33503236094664085, 0.34250347146760657, 0.35145249857545052, 0.36235320753143219, 0.37589791970776332, 0.39313386469911582, 0.41571092710395352, 0.44635773334120488, 0.48985863449208822, 0.55521756842282022, 0.66087339456867999, 0.84823618092551289, 1.2151195211073811, 1.9165743488787965, 2.3508877786577451, 1.4443348088351571, 0.76492459341185248, 0.49110340129616131, 0.37704804648461715, 0.32461086797902511, 0.29879048968661098, 0.28578055916169098, 0.27951154883411777, 0.2770641542653477, 0.2769312140719915, 0.27829114053745835, 0.28067780345213028, 0.28381969649731731, 0.28755681006017264, 0.29179540525446745, 0.29648222926270817, 0.30158911569265467, 0.30710330023434329, 0.31302093286968313, 0.31934237101460505, 0.32606842907190758, 0.33319709314012913, 0.34072041162898187, 0.34862140931870855, 0.35687097975077048, 0.36542480802536581, 0.37422047187389273, 0.3831749637281649, 0.39218296316186024, 0.40111625299763509, 0.40982469330491783, 0.41813912317384838, 0.4258764324347285, 0.4328468285055283, 0.43886303138696292, 0.44375080077884155, 0.44735989327386261, 0.44957433504224847, 0.45032083940545298, 0.44957433504225952, 0.44735989327388409, 0.44375080077884094, 0.43886303138696287, 0.43284682850553852, 0.42587643243472262, 0.41813912317384844, 0.40982469330491822, 0.40111625299764203, 0.39218296316186108, 0.38317496372815796, 0.37422047187388213, 0.3654248080253728, 0.35687097975077048, 0.34862140931871355, 0.3407204116289852, 0.33319709314012813, 0.32606842907189898, 0.31934237101461499, 0.31302093286968807, 0.30710330023434207, 0.30158911569265884, 0.29648222926270573, 0.29179540525446745, 0.28755681006017286, 0.28381969649731703, 0.28067780345213011, 0.27829114053745807, 0.276931214071993, 0.27706415426535103, 0.2795115488341236, 0.28578055916168943, 0.29879048968659755, 0.32461086797904803, 0.37704804648459683, 0.49110340129605989, 0.76492459341194297, 1.4443348088348928, 2.3508877786575133, 1.9165743488792846, 1.2151195211074157, 0.84823618092552211, 0.66087339456868599, 0.55521756842278347, 0.48985863449208472, 0.44635773334118822, 0.41571092710397217, 0.39313386469912487, 0.37589791970777137, 0.36235320753144445, 0.3514524985754498, 0.34250347146759541, 0.33503236094663658, 0.32870522934910962, 0.32328059372663664, 0.31857988064097681, 0.31446841304449669, 0.31084283229025461, 0.30762257090246686, 0.30474394372286173, 0.30215597222039958, 0.2998173808104917, 0.29769440119614116, 0.29575914366730105, 0.29398837264969579, 0.29236257476032251, 0.29086524139763986, 0.28948231065584196, 0.28820172893642193, 0.2870131034563167, 0.28590742447451678, 0.28487684149423453, 0.28391448161839172, 0.28301430109585968, 0.28217096320287155, 0.28137973717158282, 0.28063641405458883, 0.27993723630516576, 0.27927883853318819, 0.27865819741966746, 0.27807258917808741, 0.27751955326680311, 0.27699686130487039, 0.27650249033968499, 0.27603459977058231, 0.27559151135699989, 0.27517169183977769, 0.27477373778493214, 0.27439636232473469, 0.27403838352435639, 0.27369871414606739, 0.2733763526189838, 0.27307037505201531, 0.27277992815238439, 0.27250422293251342, 0.27224252910527663, 0.27199417008193894, 0.27175851849921429, 0.27153499221204769, 0.27132305069742446, 0.27112219182176123, 0.27093194893077793, 0.27075188822603974, 0.27058160639693646, 0.27042072848083132, 0.27026890592749747, 0.27012581484686454, 0.26999115442165683, 0.269864645468744, 0.2697460291348559, 0.26963506571409995, 0.26953153357611481, 0.26943522819501203, 0.26934596127038007, 0.26926355993266227, 0.2691878660260697, 0.26911873546299209, 0.2690560376445964, 0.2689996549429205, 0.26894948224031312, 0.26890542652264399, 0.2688674065231077, 0.26883535241392259, 0.26880920554360732, 0.26878891821784312, 0.26877445352233703, 0.26876578518636779, 0.26876289748601018, 0.26876434118268822, 0.2687686730470028, 0.26877589540270902, 0.26878601212573022, 0.2687990286486816, 0.26881495196720995, 0.26883379064815582, 0.26885555483958734, 0.26888025628270656, 0.26890790832565198, 0.26893852593925077, 0.26897212573473461, 0.2690087259834843, 0.26904834663881766, 0.26909100935991059, 0.26913673753787937, 0.26918555632410318, 0.26923749266084634, 0.26929257531427175, 0.26935083490989087, 0.26941230397060395, 0.26947701695735654, 0.26954501031255768, 0.26961632250637751, 0.26969099408601815, 0.26976906772811765, 0.26985058829440278, 0.26993560289078478, 0.2700241609300133, 0.27011631419810056, 0.27021211692470715, 0.27031162585768065, 0.27041490034198234, 0.27052200240323221, 0.27063299683615777, 0.27074795129818563, 0.27086693640852089, 0.27099002585300358, 0.27111729649513006, 0.27124882849359777, 0.27138470542677823, 0.27152501442461197, 0.27166984630834101, 0.27181929573867103, 0.27197346137287631, 0.27213244603151637, 0.27229635687539921, 0.27246530559353949, 0.27263940860290725, 0.27281878726083075, 0.27300356809101539, 0.27319388302418723, 0.27338986965451922, 0.27359167151305819, 0.27379943835952042, 0.27401332649392857, 0.27423349908974715, 0.27446012655026125, 0.27469338689023165, 0.27493346614494402, 0.27518055880907738, 0.27543486830802688, 0.27569660750458719, 0.27596599924426191, 0.27624327694273093, 0.27652868521949608, 0.27682248058206732, 0.27712493216563666, 0.2774363225336538, 0.27775694854543082, 0.27808712229753674, 0.27842717214659229, 0.27877744382196701, 0.27913830163790121, 0.27951012981575557, 0.27989333392841442, 0.28028834248040002, 0.28069560863894777, 0.28111561213332464, 0.28154886134188545, 0.281995895589015, 0.28245728767705292, 0.28293364668175058, 0.28342562104384195, 0.28393390199380664, 0.28445922735235785, 0.28500238575527981, 0.28556422135853321, 0.28614563908790958, 0.28674761050742736, 0.28737118039216675, 0.28801747410487055, 0.28868770589166581, 0.28938318823121439, 0.29010534239412511, 0.29085571039615271, 0.29163596856080143, 0.29244794294505833, 0.29329362692806915, 0.2941752013180729, 0.29509505739993541, 0.2960558234274569, 0.29706039516404303, 0.29811197119760974, 0.29921409390578746, 0.30037069713344844, 0.30158616187561449, 0.30286538154735393, 0.30421383878465935, 0.30563769617786612, 0.30714390392029656, 0.30874032809731156, 0.31043590429600709, 0.31224082245211771, 0.31416675046288611, 0.3162271062126159, 0.31843739046194353, 0.32081559679629457, 0.3233827198726239, 0.3261633900612621, 0.32918667199640189, 0.33248707761735674, 0.33610586262198205, 0.34009270130157815, 0.34450787219602153, 0.34942514164984734, 0.35493561320673045, 0.36115293231976797, 0.38569128784983631, 0.42508763079969747, 0.49651695666550189, 0.6519219610824798, 1.0915342386118372, 2.0881761628465076, 0.98021332605060452, 0.43567096417331774, 0.31160350666106951, 0.27417739377663669, 0.26064135708666647, 0.25534200084464814, 0.25328301332014908, 0.25258339067048735, 0.25245361700950769, 0.25253945352344948, 0.25267739672645961, 0.25279336602044666, 0.2528570987670743, 0.25286022407540287, 0.25280516563378941, 0.25269931397786333, 0.25255190282804452, 0.25237233627755445, 0.25216932188460128, 0.25195046152284045, 0.25172210393464139, 0.25148934470182466, 0.251256105399431, 0.25102525075319598, 0.25079871908028611, 0.25057765155420858, 0.25036251231239248, 0.25015319551129195, 0.24994911797386987, 0.24974929760269843, 0.24955241859933749, 0.24935688497151021, 0.24916086398301363, 0.24896232121577436, 0.24875904884355002, 0.24854868861528601, 0.24832875095175685, 0.24809663150492989, 0.24784962654719067, 0.24758494868579958, 0.24729974468817195, 0.24699111773191665, 0.24665615727601534, 0.24629198116799192, 0.24589579684654719, 0.24546499204041922, 0.24499727097864921, 0.24449086111888924, 0.24394483000343481, 0.24335957597844138, 0.24273759717120941, 0.242084713212812, 0.24141203815002044, 0.2407392286043453, 0.24009995544462392, 0.23955137484819344, 0.23919105882310349, 0.23918844331099218, 0.23984598537692572, 0.24172486716467939, 0.2459214268181413, 0.25472797099281591, 0.27338649551344196, 0.3153970383825121, 0.42135200681649326, 0.73478157978736514, 1.6406856285737546, 1.9559135371005711, 1.149221738589034, 0.74620081850441355, 0.56836673050281594, 0.47729230052117244, 0.42428440220927938, 0.39038159137260509, 0.36712445181804582, 0.35029139748969929, 0.3375812782679774, 0.32764877572701584, 0.31966166474023455, 0.31308067297942033, 0.30754255164178557, 0.30279444953787732, 0.29865532748788992, 0.29499235503709997, 0.29170597535353504, 0.2887201805316455, 0.285976030456846, 0.28342726165130983, 0.28103729584927861, 0.27877723585833597, 0.27662461625266976, 0.2745628104623154, 0.27258112174292837, 0.27067574302398223, 0.26885202018600635, 0.26712891118550691, 0.26554745196140311, 0.26418701106033238, 0.26319762776646671, 0.2628678302065991, 0.26377704996308843, 0.26716992887133906, 0.27598715033306576, 0.29816638869883999, 0.35955474272022958, 0.56768575503851892, 1.3334825080423982, 1.4147473168869786, 0.76121115696064001, 0.52386161639247208, 0.42745453519104254, 0.37926156776937886, 0.35147110939976695, 0.33383990910110595, 0.3219144436815134, 0.31350810841621646, 0.30744741540549486, 0.30306084373065145, 0.29994748266584464, 0.29786368719211176, 0.29666448727341227, 0.29627281556479879, 0.29653347481683295, 0.2973258916031894, 0.29868262373397653, 0.30066232562646705, 0.30335731532946314, 0.30690647621458345, 0.31151679493820522, 0.31749980120456961, 0.32533520763619073, 0.33578712719512482, 0.35012861746761531, 0.37060661226822522, 0.40148945677932518, 0.45168203813189028, 0.54208167035545207, 0.72852514024207837, 1.1583027947975244, 1.710046962670472, 1.085635099441993, 0.56522042743480483, 0.38579818631753704, 0.31817616495049944, 0.28879882806528234, 0.27475635640276497, 0.26770983046727476, 0.26417623179562566, 0.26253637275491215, 0.26197254615761334, 0.2620441340231176, 0.26250117155714731, 0.26319588690288959, 0.26403798738397338, 0.26497083618461004, 0.26595818354803297, 0.26697649193786516, 0.26801035036960896, 0.26904965649857787, 0.27008784226431704, 0.27112073270776643, 0.27214579844968795, 0.27316165834137635, 0.27416774430157403, 0.27516407325875386, 0.27615109107917785, 0.27712956572733571, 0.27810051471758257, 0.27906515694353329, 0.28002488226789207, 0.28098123445869749, 0.28193590456385065, 0.28289073287483302, 0.28384771840346412, 0.28480903539103813, 0.28577705686089461, 0.28675438566952577, 0.2877438939517537, 0.28874877233343293, 0.28977259084275797, 0.29081937413781345, 0.29189369454601227, 0.29300078756424969, 0.29414669601362498, 0.29533845114655843, 0.29658430190973029, 0.2978940076339936, 0.29927921519486528, 0.30075394999463351, 0.3023352622521594, 0.30404408809740202, 0.30590641216338577, 0.30795486020723262, 0.31023091598234198, 0.31278806205332799, 0.31569631779282376, 0.31904894122886596, 0.32297257272123003, 0.32764301989315925, 0.33331060760784953, 0.34034238355091234, 0.34929536616889389, 0.36104993314987988, 0.37706671271819603, 0.39991450301174597, 0.43443790672870131, 0.49054234164275479, 0.5901201371887892, 0.78080099633744726, 1.0957198746834185, 1.1169035535909202, 0.68543979987093095, 0.43693292576164433, 0.33844341064677341, 0.29692992313971572, 0.27756555606876787, 0.26779126329515524, 0.26262801072035702, 0.25994653960086922, 0.25885437930981303, 0.2591360669907794, 0.26114612293752298, 0.26605818925367963, 0.27674608617378993, 0.30043192560702447, 0.35751342573205713, 0.51607560961564913, 1.0270610410599641, 2.0127401075505547, 1.5139878740937474, 0.92131799968450234, 0.66687995631362762, 0.54642676864489526, 0.48061082756385309, 0.44055903982827427, 0.41421629460212656, 0.39587514708785387, 0.38255093991502692, 0.37255664241291925, 0.36487831925316666, 0.35887603596580503, 0.35412981404582172, 0.35035537861061633, 0.3473557159262125, 0.34499204012799062, 0.34316579662236879, 0.34180722122552465, 0.34086796216605803, 0.3403163376131807, 0.3401344003940589], [0.30193106490481603, 0.30232237431246839, 0.30352083057938622, 0.30560481010760621, 0.3087225612572686, 0.31312533735958181, 0.31923137201994506, 0.32775204565432126, 0.33995608916792353, 0.35827347939570237, 0.3878464026205628, 0.44117492587430707, 0.55511959749295314, 0.86633181510910173, 1.6163588545028316, 0.90677442365430672, 0.42817050723414313, 0.31627646813701449, 0.2828631259507981, 0.27120337260807464, 0.2671641759206036, 0.26623546378552387, 0.26670899998458691, 0.26785680609658513, 0.26934267302281578, 0.27100341494554375, 0.27275848502253536, 0.27456946919748926, 0.27642077087830214, 0.27830998175117594, 0.28024296849235586, 0.2822313975528532, 0.28429160818149968, 0.28644430210312166, 0.28871479900518215, 0.29113376199392726, 0.29373839699518534, 0.29657421150429908, 0.29969750502463444, 0.30317887785213143, 0.30710821469290472, 0.31160186940875412, 0.31681322471460621, 0.32294856962495389, 0.33029160513023903, 0.33924241239158587, 0.35038156883589172, 0.36457985975834795, 0.3831947268838003, 0.40844113086439743, 0.44413636934399969, 0.497307763808503, 0.58195759746439502, 0.72861960866303566, 1.0091105318491518, 1.5734672264323681, 2.3037655566362805, 1.8373793318116132, 0.98498053695778376, 0.58891174870445151, 0.42109508545547941, 0.34237327066401452, 0.30149990442600505, 0.27853101860292989, 0.26483118946965584, 0.25628429935171604, 0.25076727509905089, 0.2471128320966812, 0.24464513416501119, 0.24295621334760537, 0.24179156650803774, 0.24098860382346993, 0.24044219041034429, 0.24008483397373034, 0.23987524600402757, 0.23979205486350302, 0.23983108395258962, 0.24000561929904279, 0.24034991147602749, 0.24092712732447577, 0.24184453967877376, 0.24328179370936751, 0.24554464211651741, 0.24917177882134109, 0.25516079398736718, 0.26548539575848684, 0.28440401907280688, 0.32222213784659764, 0.40802418360977977, 0.64160063165021219, 1.3949023049331739, 2.3640156448810856, 1.3607053421522837, 0.78135356081151375, 0.55849254567386697, 0.45579347797986036, 0.40036926111962606, 0.36691826582521458, 0.34504606798058618, 0.32987234099678669, 0.31885931961784358, 0.3105784799863317, 0.30417349094552881, 0.29910419775412972, 0.29501527024222512, 0.29166459918843729, 0.28888222982375061, 0.28654577167166856, 0.2845651188866159, 0.28287264596477363, 0.28141673738940221, 0.28015741032524166, 0.27906328742575526, 0.27810946184868657, 0.27727596483861316, 0.27654664834944487, 0.27590835871370045, 0.27535031779872982, 0.27486365435818744, 0.27444104567849142, 0.27407644133776959, 0.27376484892012309, 0.27350216711034664, 0.27328505553621113, 0.27311083355149102, 0.27297740221155858, 0.27288318522009875, 0.27282708578240783, 0.2728084572017071, 0.27281151349265043, 0.27282068797609749, 0.27283599750483722, 0.27285747023676682, 0.27288514574032535, 0.27291907514316915, 0.2729593213252185, 0.27300595915749593, 0.27305907578856559, 0.27311877098073917, 0.27318515749863409, 0.27325836155308075, 0.27333852330390646, 0.27342579742554085, 0.27352035374011668, 0.27362237792319644, 0.27373207228812019, 0.27384965665565514, 0.27397536931657024, 0.27410946809574016, 0.27425223152749395, 0.27440396015327245, 0.27456497795401169, 0.2747356339314207, 0.27491630385418397, 0.27510739218728447, 0.27530933422517434, 0.27552259845238836, 0.2757476891585498, 0.27598514933855467, 0.27623556391325482, 0.27649956331117154, 0.27677782745790985, 0.27707109022711562, 0.27738014441525716, 0.27770584731249276, 0.27804912695362344, 0.27841098914715867, 0.27879252539712607, 0.2791949218522351, 0.27961946944081051, 0.28006757537871563, 0.28054077627223534, 0.28104075308009741, 0.28156934825022478, 0.28212858540983193, 0.2827206920648998, 0.28334812586087682, 0.28401360507531481, 0.28472014416176694, 0.28547109535070658, 0.28627019754877109, 0.28712163407691049, 0.28803010117064709, 0.28900088965826282, 0.29003998287127697, 0.29115417467562776, 0.29235121260987706, 0.29363997257408991, 0.29503067346467443, 0.29653514278870247, 0.29816714789318571, 0.29994281241534482, 0.30188114449756509, 0.3040047131122029, 0.30634052287174013, 0.30892115806781484, 0.31178629670410657, 0.31498474027266088, 0.31857717364369903, 0.32263997617432105, 0.32727057473770071, 0.3325951052358177, 0.33877960960596493, 0.34604678618157059, 0.35470171358391567, 0.36517254513712438, 0.37807709961739216, 0.39433613919273747, 0.41537491334513249, 0.44350099145840111, 0.48265725968042938, 0.54003352185951525, 0.62980609598620463, 0.78254503546234877, 1.0694893212889918, 1.640931189797693, 2.405248159281185, 1.9375796759858495, 1.0152573995049774, 0.5967173150908287, 0.42693152331130535, 0.3513927185756841, 0.3148555313704004, 0.29638388630223778, 0.2871249744749515, 0.28295409182055009, 0.28179413232949452, 0.28253414146305078, 0.284552594733331, 0.28749099513964932, 0.29113939642821857, 0.29537533322673426, 0.30012965849604384, 0.30536655433336157, 0.31107126794873258, 0.31724214838981923, 0.32388508187885173, 0.33100922244990921, 0.33862335210693806, 0.34673245826130777, 0.35533427722486655, 0.36441567096233696, 0.37394880877361114, 0.38388723237636874, 0.39416199930548523, 0.40467822434420508, 0.41531246108061737, 0.42591146474561514, 0.43629292342906151, 0.44624870347372858, 0.45555099668001447, 0.46396146888083478, 0.47124310734093394, 0.47717400041170399, 0.48156184234233085, 0.48425764175893765, 0.48516701724768219, 0.48425764175895203, 0.48156184234235755, 0.47717400041170283, 0.4712431073409335, 0.46396146888084794, 0.45555099668000787, 0.4462487034737298, 0.43629292342906145, 0.42591146474562369, 0.41531246108061892, 0.4046782243441967, 0.39416199930547269, 0.38388723237637734, 0.37394880877361086, 0.3644156709623434, 0.35533427722487038, 0.34673245826130655, 0.33862335210692845, 0.33100922244992065, 0.32388508187885739, 0.3172421483898179, 0.3110712679487373, 0.30536655433335896, 0.30012965849604378, 0.29537533322673426, 0.29113939642821807, 0.28749099513964921, 0.28455259473333028, 0.282534141463052, 0.28179413232949824, 0.28295409182055442, 0.28712497447495078, 0.29638388630222778, 0.31485553137041816, 0.35139271857566845, 0.42693152331123663, 0.59671731509088743, 1.0152573995048049, 1.9375796759857318, 2.4052481592812547, 1.6409311897977203, 1.0694893212890122, 0.78254503546235521, 0.62980609598615367, 0.54003352185950915, 0.48265725968040929, 0.44350099145842509, 0.41537491334514381, 0.39433613919274657, 0.37807709961740688, 0.36517254513712372, 0.35470171358390273, 0.34604678618156559, 0.33877960960597392, 0.33259510523581887, 0.32727057473769883, 0.32263997617431855, 0.31857717364369609, 0.3149847402726576, 0.31178629670410385, 0.30892115806781151, 0.30634052287174002, 0.30400471311220306, 0.30188114449756615, 0.29994281241534471, 0.29816714789318671, 0.29653514278870258, 0.29503067346467293, 0.29363997257408819, 0.29235121260987879, 0.29115417467562738, 0.29003998287127647, 0.28900088965826387, 0.28803010117064853, 0.28712163407691199, 0.2862701975487707, 0.28547109535070619, 0.28472014416176689, 0.28401360507531354, 0.28334812586087699, 0.28272069206490114, 0.28212858540983088, 0.28156934825022362, 0.28104075308009657, 0.28054077627223545, 0.28006757537871629, 0.27961946944081084, 0.27919492185223438, 0.27879252539712474, 0.27841098914715845, 0.27804912695362355, 0.27770584731249226, 0.27738014441525605, 0.27707109022711518, 0.27677782745791057, 0.2764995633111717, 0.27623556391325332, 0.27598514933855423, 0.27574768915854847, 0.27552259845238791, 0.27530933422517462, 0.27510739218728469, 0.27491630385418342, 0.27473563393142036, 0.27456497795401097, 0.27440396015327212, 0.27425223152749528, 0.27410946809573966, 0.27397536931657152, 0.27384965665565592, 0.27373207228812046, 0.27362237792319599, 0.27352035374011746, 0.27342579742554257, 0.27333852330390607, 0.27325836155308186, 0.27318515749863387, 0.27311877098073928, 0.27305907578856586, 0.27300595915749576, 0.27295932132521827, 0.27291907514316971, 0.27288514574032452, 0.2728574702367671, 0.27283599750483795, 0.27282068797609832, 0.27281151349265048, 0.27280845720170543, 0.27280998518294375, 0.27281456995989278, 0.2728222140332644, 0.27283292157422584, 0.27284669842940013, 0.27286355212787494, 0.27288349189022659, 0.27290652863961479, 0.27293267501495011, 0.27296194538616003, 0.27299435587161686, 0.27302992435773821, 0.27306867052084255, 0.27311061585126822, 0.27315578367986365, 0.27320419920687894, 0.27325588953334928, 0.27331088369503903, 0.27336921269904912, 0.27343090956314275, 0.27349600935796198, 0.2735645492521665, 0.2736365685606641, 0.27371210879606067, 0.27379121372344573, 0.27387392941868982, 0.27396030433039387, 0.27405038934570436, 0.27414423786013753, 0.27424190585164798, 0.27434345195916598, 0.27444893756582506, 0.27455842688714577, 0.27467198706444973, 0.27478968826382516, 0.27491160378092516, 0.27503781015199663, 0.27516838727147558, 0.27530341851659357, 0.27544299087941931, 0.27558719510679669, 0.27573612584875568, 0.27588988181588292, 0.2760485659463317, 0.27621228558307959, 0.27638115266220203, 0.27655528391290979, 0.2767348010702203, 0.27691983110119162, 0.27711050644572971, 0.27730696527309212, 0.27750935175527175, 0.27771781635861365, 0.27793251615509768, 0.27815361515488873, 0.27838128466188744, 0.27861570365422728, 0.27885705919177695, 0.2791055468530339, 0.27936137120391924, 0.27962474630132261, 0.27989589623452393, 0.28017505570791928, 0.28046247066892316, 0.28075839898523464, 0.28106311117623228, 0.28137689120368803, 0.28170003732767956, 0.28203286303415015, 0.28237569804142254, 0.28272888939373964, 0.28309280265092751, 0.2834678231843637, 0.28385435759066241, 0.28425283523593053, 0.28466370994505469, 0.28508746185234524, 0.28552459943193831, 0.28597566172883571, 0.28644122081418733, 0.28692188449166911, 0.28741829928545948, 0.28793115374456901, 0.28846118210327154, 0.28900916834297724, 0.28957595070765474, 0.2901624267325324, 0.2907695588549174, 0.29139838068647733, 0.29205000403878895, 0.29272562680850001, 0.29342654184569994, 0.29415414694946829, 0.29490995615874283, 0.29569561253546672, 0.29651290267128505, 0.2973637731904199, 0.2982503495707301, 0.29917495766487212, 0.30014014837596181, 0.3011487260301024, 0.30220378109596913, 0.3033087280333881, 0.30446734921561291, 0.30568384607109572, 0.30696289884084238, 0.30830973666025707, 0.30973022006744755, 0.31123093853674777, 0.3128193262676594, 0.31450380026699642, 0.31629392580144289, 0.31820061564495955, 0.32023637130369653, 0.32241557671332743, 0.32475485796874826, 0.32727352674292376, 0.32999413057689531, 0.33294314074445985, 0.33615181873721889, 0.33965731678730454, 0.34350408804405852, 0.34774571075134258, 0.35244727216917277, 0.35768851845314054, 0.36356806634607253, 0.37020910753028757, 0.37776724324931171, 0.40825004610075144, 0.45923298159698844, 0.55737693403722277, 0.79096887009033223, 1.5018415432841354, 1.9319582685911894, 0.69757494819296817, 0.38068332507664993, 0.29961070671954193, 0.27286626526894531, 0.2627242312394793, 0.2586849099410411, 0.25713756040952757, 0.25665186945063939, 0.25660636037487916, 0.25671614567184958, 0.25684870519181752, 0.25694473958487485, 0.25698145951293833, 0.25695448284464034, 0.2568684739363209, 0.25673214110203452, 0.25655552114488123, 0.25634851662541919, 0.25612014196023752, 0.25587817835725218, 0.25562906504262412, 0.25537792419135136, 0.25512865724764372, 0.25488407451592904, 0.25464603493625215, 0.25441558250524848, 0.25419307192134832, 0.25397827993395572, 0.2537705013165058, 0.25356862985305212, 0.25337122555660085, 0.25317656974899599, 0.25298270978120369, 0.25278749516567806, 0.25258860680250389, 0.25238358086024154, 0.25216982875861038, 0.25194465462521443, 0.25170527159231582, 0.25144881839793382, 0.25117237800523023, 0.25087300042388805, 0.25054773271075736, 0.25019366040581914, 0.24980796667887142, 0.24938801863294691, 0.24893149520425092, 0.24843657903331409, 0.24790224745527237, 0.24732871865421832, 0.24671814386924826, 0.24607569590518091, 0.24541130784507831, 0.24474250184120294, 0.24409909205145863, 0.24353120543702847, 0.24312337969355738, 0.24302024377922565, 0.24347532993959722, 0.24494871165884352, 0.24831477125342996, 0.25533917377055471, 0.26988215780568214, 0.30131534184738534, 0.37575114799002851, 0.57907899145745745, 1.2058267815444204, 2.1654896951090326, 1.5101262782880025, 0.91016411260641139, 0.65080699749123361, 0.52593087411163575, 0.45674493597272631, 0.41409118845041565, 0.3856345620640399, 0.36548126100941275, 0.35052802950530221, 0.33901045226792575, 0.32986160343381721, 0.32240307390429851, 0.31618512764259532, 0.31089896082404739, 0.30632607935897072, 0.30230783003259765, 0.29872638702487869, 0.29549251592188636, 0.29253749466961504, 0.28980767264373941, 0.28726076478299017, 0.2848633379941406, 0.28258917111734805, 0.28041832435965663, 0.27833688255158529, 0.2763374764819615, 0.27442088638151579, 0.27259937621509756, 0.2709030720396341, 0.26939207895133416, 0.26818009341906135, 0.26748253228364172, 0.26772082756693116, 0.26976697660291404, 0.27557804755969101, 0.29007466225715162, 0.32776660042263378, 0.44206191604936595, 0.87557315043814921, 1.7149413570253864, 1.0164414015020169, 0.61633343383117944, 0.47033810121338554, 0.40383787342461941, 0.36782411922720809, 0.34593770888186071, 0.33157660762875885, 0.32167237435368595, 0.31464455441142219, 0.30961656462111542, 0.30607741013317524, 0.30372208188063937, 0.30237144217170553, 0.30193106490481603, 0.30222409604416584, 0.30311592843926838, 0.30464640112266217, 0.30688767895517066, 0.30995428910032208, 0.31402047660666421, 0.31934972226800051, 0.32634585726693549, 0.33564489013073351, 0.34828851156143781, 0.36607340941349736, 0.3923116266366552, 0.43365124468442912, 0.50496307833134435, 0.64413277863287954, 0.95704676066536487, 1.5867581752479243, 1.4430955287327452, 0.72071079520057868, 0.44263651026638728, 0.34378034104277938, 0.30295229178474881, 0.28402702688218862, 0.27464769512910447, 0.2699051060156904, 0.26760279287130839, 0.26666361648458137, 0.26652022510819323, 0.26685642214229194, 0.26748785033370903, 0.26830305403977855, 0.26923267090554615, 0.27023254448472794, 0.27127408699974731, 0.2723385864522509, 0.27341374201753776, 0.27449150029920716, 0.27556667327465628, 0.27663603815431448, 0.27769774124371405, 0.27875089761604488, 0.27979531935741164, 0.28083132978708442, 0.28185963620677379, 0.28288124324023645, 0.28389739490551302, 0.28490953752525267, 0.28591929821489215, 0.28692847547870953, 0.28793903969420337, 0.28895314217196849, 0.28997313216952936, 0.29100158180336533, 0.2920413193075122, 0.29309547158241672, 0.29416751751003606, 0.29526135412854743, 0.29638137851728119, 0.29753258920882175, 0.29872071221333135, 0.29995235843887585, 0.30123522160494953, 0.30257832894327774, 0.30399236145810149, 0.30549006687786084, 0.3070867975910167, 0.30880121925313242, 0.31065625565325838, 0.31268036551141137, 0.31490929321734379, 0.31738850837356347, 0.32017666614142348, 0.32335061343472937, 0.32701279295320834, 0.33130246780978467, 0.33641322014378017, 0.34262110997254452, 0.35033166317073144, 0.36016162463181062, 0.3730882501912513, 0.39073769485936261, 0.41597949165781811, 0.45424483112944591, 0.51667165566419015, 0.62784951988020821, 0.84003073674392503, 1.175040270113793, 1.1533362108551151, 0.69875343855853511, 0.44754933657691875, 0.34711221915150947, 0.30424024255028337, 0.28402682034441484, 0.27370708488126289, 0.26813711847667543, 0.26505301649305107, 0.26341637315366101, 0.26279477934873147, 0.26314375392840544, 0.26480058340916468, 0.26869037573723697, 0.27694123462334552, 0.29460032018448118, 0.3349165521518831, 0.4382611872965288, 0.74863908852914784, 1.6485339970315092, 1.9663439652425583, 1.1927072683566124, 0.79717157212502421, 0.61997869333745803, 0.52857699436948502, 0.47530825250127984, 0.44136761266263647, 0.41829045696543404, 0.40182637665436127, 0.38964930339742471, 0.3803970522720404, 0.37322783574720497, 0.3675986817826663, 0.36314728590897233, 0.35962552246518903, 0.3568603149287366, 0.3547297532693322, 0.35314810795027901, 0.35205626961444125, 0.35141565680763098, 0.35120446976595932], [0.30894022482358174, 0.30938413619948929, 0.31074607827670325, 0.31312300424929668, 0.31669994323374123, 0.32179479888335999, 0.32894686849468258, 0.33909688848444702, 0.35397939725507865, 0.37706672743097525, 0.41616058898377939, 0.49186174068316724, 0.67187250363307938, 1.2074872347024836, 1.5020873475344878, 0.60848352193121835, 0.36652069901019241, 0.30300876889893458, 0.28209963766207669, 0.27458477029022127, 0.27217352156686381, 0.27196647175772881, 0.27279295625578787, 0.2741309296359013, 0.27573158689219768, 0.27747191890559242, 0.27929112669127154, 0.28116115259103702, 0.28307226166906307, 0.28502572775382379, 0.28703008332121921, 0.28909927095652455, 0.29125188906090865, 0.29351113900354037, 0.29590529777357444, 0.29846866755510715, 0.30124304419883924, 0.30427983019642912, 0.30764301694211421, 0.3114134000940682, 0.31569460565021529, 0.32062185123031306, 0.32637495185472931, 0.33319809996080252, 0.34143079407906307, 0.35155775608457185, 0.36429247329321796, 0.3807229934286725, 0.40257903787898519, 0.43274998471996484, 0.47635835074802091, 0.54316211072121823, 0.65340027030210701, 0.85301341627026273, 1.2499382859187769, 1.9918041088999081, 2.3407928386223431, 1.4242593350112778, 0.77724026441223781, 0.50519112567568858, 0.38518294283200794, 0.32614923333304524, 0.29432603509926486, 0.27593525571202637, 0.2647362661907251, 0.25764137382853725, 0.25300916844591781, 0.24991485090949062, 0.24781218667088534, 0.24636598522603789, 0.24536428631319715, 0.24467014443530999, 0.2441941725296278, 0.24387853195559997, 0.24368758568315826, 0.2436027208838962, 0.24362010101130663, 0.24375089976144804, 0.24402422249343592, 0.24449369400623255, 0.2452499293095308, 0.24644346187821609, 0.24832766515397087, 0.25134246521217096, 0.25628722995840497, 0.26470493104934861, 0.27981824275877204, 0.30909450034025526, 0.37241503849792112, 0.53339620844863345, 1.035866341215437, 2.292230704825962, 1.7804315901009977, 0.94555265971027913, 0.63017910364540031, 0.49462342075453364, 0.42510560879368858, 0.38461538813721163, 0.35880790123638506, 0.3412400712544309, 0.32867272409572723, 0.31932976298051113, 0.31216850982319433, 0.3065423197223564, 0.30203172087651514, 0.29835423113462228, 0.2953135168990107, 0.29276939147262676, 0.29061940540999948, 0.28878716187073139, 0.28721467853267441, 0.28585726359171337, 0.28467999855270076, 0.2836552741396593, 0.28276103220675863, 0.28197949069753775, 0.28129620529512922, 0.28069936977512178, 0.28017928827502581, 0.2797279732194245, 0.27933883638707441, 0.27900644996988633, 0.27872636095377457, 0.27849494670545566, 0.27830930289950401, 0.27816715727743868, 0.27806680447178911, 0.27800705844226004, 0.27798722009073062, 0.27799047287356116, 0.27800023727028367, 0.27801653144853711, 0.278039385764352, 0.27806884287772182, 0.27810495791559298, 0.27814779868353312, 0.2781974459276596, 0.27825399364884867, 0.27831754947163589, 0.27838823507069882, 0.27846618665826439, 0.27855155553638333, 0.27864450871848312, 0.27874522962542148, 0.27885391886179234, 0.27897079507919476, 0.27909609593395485, 0.27923007914786019, 0.2793730236815673, 0.27952523103160798, 0.27968702666344525, 0.2798587615945724, 0.2800408141436353, 0.28023359186368096, 0.28043753368010943, 0.28065311225679124, 0.28088083661710389, 0.28112125505047536, 0.28137495833943788, 0.28164258334740166, 0.28192481701336597, 0.28222240080686467, 0.28253613570474184, 0.28286688776112184, 0.28321559435352212, 0.28358327120170584, 0.28397102027222099, 0.28438003870095713, 0.28481162888943312, 0.28526720995845228, 0.28574833077663497, 0.28625668482228916, 0.28679412718696323, 0.28736269408994253, 0.28796462534782652, 0.28860239033558821, 0.28927871809000999, 0.28999663234893153, 0.29075949249849165, 0.29157104162559272, 0.29243546315817293, 0.29335744793978191, 0.29434227405211055, 0.29539590230306012, 0.296525091084265, 0.29773753533383807, 0.29904203570511201, 0.30044870586346412, 0.30196922828591433, 0.30361717227310603, 0.30540839246499424, 0.30736153251638032, 0.30949866753563604, 0.31184613162739017, 0.31443559526307385, 0.31730548412705523, 0.32050287115099463, 0.32408603410678716, 0.32812796470299055, 0.33272126247514117, 0.33798508404797389, 0.34407521005259223, 0.35119895652470284, 0.35963781981520315, 0.36978284672241779, 0.38219167328565617, 0.39768392796787277, 0.41750765954002417, 0.44364418748069584, 0.47939921214869985, 0.53062762265451568, 0.60847182906260033, 0.73599853947412852, 0.96521028343126591, 1.4144170415680006, 2.2021913677050566, 2.3845608711685697, 1.3758694228652459, 0.75227416207144815, 0.49772035201456277, 0.38810568578122406, 0.3363435948035684, 0.31035195264193743, 0.2970752954785188, 0.29063021115635557, 0.28813189913391513, 0.28806888311118062, 0.28960844163811217, 0.29227534125870613, 0.29579301794296137, 0.30000051739329586, 0.30480688626000974, 0.31016499517284402, 0.31605584013027743, 0.32247864709973556, 0.32944422091560072, 0.3369700698891917, 0.34507642067907096, 0.35378256307034672, 0.36310315763629891, 0.37304426897149778, 0.38359899303893286, 0.39474265409024817, 0.40642767026781079, 0.41857833492103669, 0.43108593069524098, 0.44380477087489961, 0.45654991771232972, 0.46909741660418391, 0.48118785553115229, 0.49253386297593432, 0.5028317694096508, 0.51177709501676705, 0.51908286246768276, 0.52449909263216876, 0.52783137472145469, 0.52895624847399003, 0.52783137472147224, 0.52449909263220196, 0.51908286246768154, 0.51177709501676683, 0.50283176940966701, 0.49253386297592539, 0.48118785553115295, 0.46909741660418364, 0.45654991771233883, 0.44380477087490056, 0.43108593069523088, 0.41857833492102225, 0.40642767026782078, 0.39474265409024828, 0.38359899303894024, 0.37304426897150217, 0.3631031576362983, 0.35378256307033618, 0.34507642067908395, 0.33697006988919825, 0.32944422091559916, 0.32247864709974111, 0.31605584013027443, 0.31016499517284374, 0.30480688626000996, 0.30000051739329542, 0.29579301794296153, 0.29227534125870491, 0.28960844163811356, 0.28806888311118484, 0.28813189913391846, 0.29063021115635479, 0.29707529547851202, 0.31035195264195053, 0.33634359480355686, 0.38810568578117821, 0.49772035201459486, 0.75227416207134579, 1.3758694228652517, 2.3845608711679906, 2.2021913677049683, 1.4144170415680264, 0.96521028343127602, 0.73599853947405325, 0.60847182906259212, 0.53062762265448715, 0.47939921214873193, 0.44364418748070977, 0.41750765954003527, 0.39768392796789054, 0.38219167328565551, 0.36978284672240241, 0.35963781981519732, 0.35119895652471339, 0.34407521005259334, 0.33798508404797206, 0.33272126247513845, 0.32812796470298744, 0.32408603410678344, 0.32050287115099158, 0.31730548412705134, 0.31443559526307385, 0.31184613162739033, 0.30949866753563693, 0.30736153251638015, 0.3054083924649954, 0.30361717227310608, 0.30196922828591261, 0.30044870586346228, 0.29904203570511384, 0.29773753533383773, 0.29652509108426445, 0.29539590230306134, 0.29434227405211211, 0.29335744793978341, 0.29243546315817248, 0.29157104162559216, 0.29075949249849165, 0.28999663234893025, 0.28927871809000993, 0.28860239033558943, 0.28796462534782558, 0.28736269408994114, 0.2867941271869624, 0.28625668482228939, 0.28574833077663547, 0.28526720995845256, 0.28481162888943246, 0.28438003870095568, 0.28397102027222054, 0.2835832712017059, 0.28321559435352162, 0.28286688776112084, 0.28253613570474118, 0.28222240080686528, 0.28192481701336625, 0.28164258334740033, 0.28137495833943738, 0.28112125505047392, 0.28088083661710334, 0.28065311225679135, 0.28043753368010954, 0.28023359186368035, 0.28004081414363491, 0.27985876159457157, 0.27968702666344492, 0.27952523103160948, 0.27937302368156691, 0.27923007914786158, 0.27909609593395579, 0.27897079507919509, 0.27885391886179201, 0.2787452296254222, 0.27864450871848495, 0.27855155553638283, 0.27846618665826545, 0.27838823507069849, 0.27831754947163606, 0.27825399364884884, 0.27819744592765944, 0.27814779868353273, 0.27810495791559359, 0.2780688428777211, 0.27803938576435222, 0.27801653144853755, 0.2780002372702845, 0.27799047287356138, 0.27798722009072885, 0.2779888463054162, 0.27799372585146565, 0.27800186143595929, 0.27801325757438705, 0.27802792059620457, 0.27804585865262704, 0.27806708172666594, 0.27809160164546676, 0.2781194320949566, 0.27815058863682879, 0.27818508872793413, 0.27822295174209827, 0.27826419899444926, 0.27830885376827819, 0.27835694134454236, 0.27840848903405807, 0.27846352621247783, 0.2785220843581373, 0.27858419709288418, 0.27864990022596126, 0.27871923180112845, 0.27879223214707477, 0.27886894393130596, 0.27894941221765662, 0.27903368452756311, 0.27912181090529964, 0.27921384398733778, 0.27930983907607876, 0.27940985421812103, 0.27951395028734122, 0.27962219107303971, 0.27973464337341553, 0.27985137709467345, 0.27997246535608522, 0.28009798460137242, 0.28022801471674558, 0.28036263915605381, 0.28050194507344256, 0.28064602346403345, 0.28079496931311881, 0.28094888175441746, 0.2811078642380519, 0.28127202470882795, 0.28144147579560219, 0.28161633501245542, 0.28179672497256797, 0.28198277361567481, 0.28217461445012282, 0.2823723868106181, 0.28257623613285249, 0.28278631424633033, 0.28300277968678866, 0.28322579802980652, 0.28345554224729147, 0.283692193088735, 0.28393593948928697, 0.28418697900694612, 0.28444551829131054, 0.28471177358671146, 0.28498597127270908, 0.28526834844533849, 0.28555915354281514, 0.28585864701979197, 0.28616710207476637, 0.28648480543564936, 0.28681205820917605, 0.28714917680037283, 0.28749649390911325, 0.28785435961150491, 0.28822314253486858, 0.2886032311360226, 0.28899503509381985, 0.28939898682821064, 0.28981554315961783, 0.2902451871241622, 0.2906884299622603, 0.29114581330039591, 0.29161791154843625, 0.29210533453791643, 0.29260873043008345, 0.29312878892652272, 0.29366624481972431, 0.29422188192624626, 0.2947965374513507, 0.29539110684101766, 0.29600654918570801, 0.29664389324986307, 0.2973042442126167, 0.29798879121850241, 0.29869881585277097, 0.29943570167445105, 0.30020094496235994, 0.30099616685539615, 0.30182312709958575, 0.30268373965159373, 0.30358009043295819, 0.30451445758314716, 0.30548933462420019, 0.3065074570284097, 0.3075718327761881, 0.30868577760797761, 0.30985295581773797, 0.31107742761212492, 0.31236370427867383, 0.31371681267873791, 0.31514237092194541, 0.31664667750775827, 0.31823681676201482, 0.31992078408629165, 0.32170763542107983, 0.32360766646156902, 0.32563262864067455, 0.32779599082228511, 0.33011325818598514, 0.33260236315274055, 0.33528414770839393, 0.3381829625673301, 0.34132741691346585, 0.34475132387525687, 0.34849490278198986, 0.35260632161242855, 0.35714369490552589, 0.36217769837474695, 0.36779502873063102, 0.3741030370922962, 0.38123601503846838, 0.38936384352936571, 0.39870407614876247, 0.43730806662784427, 0.50496777042731233, 0.64457688440907002, 1.0109601609322625, 2.0361120396220942, 1.3833448165097937, 0.54047227569153766, 0.34870924628234617, 0.29350011838244622, 0.27394056860488236, 0.2662634277328586, 0.26319116255096969, 0.26205381921482451, 0.26174583764879455, 0.26177244407020794, 0.2619030493147575, 0.2620302541629605, 0.26210719023324053, 0.26211762241551279, 0.26206084520464429, 0.26194371130476646, 0.2617763012687363, 0.26156954682262851, 0.26133394660826903, 0.26107891140967671, 0.2608124778118398, 0.260541236850311, 0.260270384579113, 0.26000383705724595, 0.25974437412942591, 0.25949379026517827, 0.25925303970412089, 0.25902236899377684, 0.25880143376546721, 0.25858939895648952, 0.25838502310827433, 0.25818672816351118, 0.25799265656740894, 0.25780071760080364, 0.25760862484096669, 0.25741392653256279, 0.25721403050784247, 0.257006225158943, 0.25678769786695754, 0.25655555226044219, 0.25630682574349667, 0.25603850894330998, 0.2557475691412861, 0.25543098046356372, 0.25508576475955391, 0.25470904891644913, 0.25429814720302923, 0.25385068169082503, 0.25336476082645387, 0.25283924744219571, 0.25227416566297134, 0.25167132615087046, 0.25103529963401267, 0.25037495574614205, 0.24970593831718066, 0.24905472912954116, 0.24846548128140147, 0.24801183823054188, 0.24781806754601005, 0.24809837063511761, 0.24923352528446388, 0.25192903406728923, 0.25756478605859739, 0.26903685803119098, 0.29301106878175032, 0.34680736837572013, 0.48290305107060832, 0.88320671375442938, 1.9073674497314528, 1.9653760182807201, 1.1576466850500213, 0.76896522798572875, 0.59203847784570218, 0.49923869211786009, 0.44436160862570917, 0.40888238313272807, 0.38435816318113963, 0.36650982832224888, 0.35297778463878615, 0.34237030604005192, 0.33382048185583046, 0.32676345305786308, 0.32081703113975252, 0.31571420882752371, 0.31126324102990782, 0.30732310416303993, 0.30378790342829171, 0.30057668513930297, 0.29762662848127275, 0.29488842358423228, 0.29232311961583168, 0.28990001400418819, 0.28759534118923796, 0.28539165971484054, 0.28327796936637029, 0.28125075719209203, 0.27931643673301287, 0.27749613236845655, 0.27583473931075175, 0.27441829101504328, 0.27340848108754334, 0.2731150481868439, 0.2741585457319814, 0.27787065164883551, 0.28739939337420289, 0.31126230322781523, 0.37732298924742053, 0.60208978332608076, 1.4131634560097293, 1.425609842666675, 0.76937478802087056, 0.53368915095015967, 0.43743680727700407, 0.38915990714883936, 0.36130287126761768, 0.34366983520678807, 0.33181603345297028, 0.32355828388063224, 0.31772824545990441, 0.3136630638906564, 0.31097505109125767, 0.30943982211694671, 0.30894022482358174, 0.30927260816549207, 0.31028548985143695, 0.31202821839881656, 0.3145907346994169, 0.31811711303106577, 0.32282934959092591, 0.32906867220964925, 0.33736895864824534, 0.34859288255921139, 0.36419923628276352, 0.38680683003584682, 0.42149369862423436, 0.47912875744341665, 0.58602401597949672, 0.81438747096986108, 1.3372772569866984, 1.7240560540350038, 0.95298229597079864, 0.52541230425217456, 0.37868774854038384, 0.32138142123708169, 0.29579516077906876, 0.28335852764565866, 0.2770784531885282, 0.27395299502948089, 0.27255599534936104, 0.27215449021003368, 0.27234774460940164, 0.27290559694507605, 0.27369051876991907, 0.2746176811978171, 0.27563342868572521, 0.27670316638675374, 0.27780428991028566, 0.27892192593315052, 0.28004629494445687, 0.28117103900603913, 0.28229213925897262, 0.28340720261201258, 0.28451498462349473, 0.28561506654990276, 0.28670763493721574, 0.28779333068482565, 0.28887314607361891, 0.28994835559798321, 0.29102047120247471, 0.29209121567020413, 0.29316251003598987, 0.29423647237329309, 0.29531542636593572, 0.29640191887929696, 0.29749874639581009, 0.29860899075365932, 0.29973606518469764, 0.30088377224200008, 0.30205637589225098, 0.30325869088506041, 0.30449619357713997, 0.30577515978655923, 0.30710283712369069, 0.30848766179451781, 0.30993953339556191, 0.31147016615881729, 0.31309354212396528, 0.31482650183319494, 0.31668952295069958, 0.31870775922828765, 0.32091244555765508, 0.32334282622645311, 0.32604884436081599, 0.32909496071703204, 0.33256568480946763, 0.33657376571144515, 0.34127262688524029, 0.34687578154140308, 0.35368812946539446, 0.36215827965138614, 0.37296977205607773, 0.3872080261339067, 0.40668355896527913, 0.43459960040336704, 0.47703402568467307, 0.54646612325726063, 0.67032521999999051, 0.90503280420944088, 1.2561593068153385, 1.1885249540498439, 0.71449938797628998, 0.46014411487990708, 0.35729741927196218, 0.31284218388684754, 0.29168315986032273, 0.28079836923200296, 0.2748664894496427, 0.27150354870091353, 0.26957219462261639, 0.26852799153088153, 0.26815715404085616, 0.26848978511537258, 0.26982662223572668, 0.27290231309883911, 0.27932225479854622, 0.2927050534491355, 0.32195420570040584, 0.39200144843197554, 0.58467585538779243, 1.1795144674631446, 2.1497934619434447, 1.5967547413785623, 0.9947880210759833, 0.72505886629678973, 0.59384554804909806, 0.52101941944796648, 0.47627491738620809, 0.44666510786364044, 0.42596986204990384, 0.41090411514382646, 0.39959829676253245, 0.39092353831184801, 0.38416537406306572, 0.37885446698706876, 0.37467352769448919, 0.37140359890393843, 0.36889181131423743, 0.36703143257385268, 0.36574928646246108, 0.36499781002668247, 0.36475020353857812], [0.31665253194831211, 0.31715986240825944, 0.31871948708391806, 0.3214527987680067, 0.32559382906937895, 0.33155097910624975, 0.34003222440431607, 0.35230886438528203, 0.37081704744007038, 0.40069285595342741, 0.4543242739828135, 0.56776251987375315, 0.87230978298884665, 1.6334652209948208, 0.99323519773073299, 0.46132159419449026, 0.33511465241213495, 0.2973923249386215, 0.28410211154753784, 0.27935878703816247, 0.27811194856380372, 0.27845059564325197, 0.27955895054855956, 0.28105853358947563, 0.28276413136145978, 0.28458303626738785, 0.28646986092359672, 0.28840494572975017, 0.29038355092210572, 0.29241030218188391, 0.29449635377414324, 0.29665805353969749, 0.29891651396792251, 0.30129780470727779, 0.30383365271949159, 0.30656264490029767, 0.30953201475251568, 0.312800185300805, 0.31644035773989976, 0.32054560801699444, 0.32523622647825795, 0.33067048669369187, 0.33706080187924597, 0.3446985962804674, 0.35399373577490706, 0.36553918012138276, 0.38022117102884923, 0.39941562424386673, 0.42535689753109079, 0.46187377280512854, 0.51596659697798331, 0.60147130586492981, 0.74829523035749457, 1.0264416430323879, 1.5871303888307944, 2.383439966541931, 2.0222808416089459, 1.0880039064245324, 0.6375371716602789, 0.4481122047628272, 0.36028740346748117, 0.31514320995687761, 0.28998157832627536, 0.27507604444746475, 0.26583114289222431, 0.25989373811988709, 0.25597772549817993, 0.25334196982226243, 0.25154055269831638, 0.25029563143269812, 0.24942926639261781, 0.24882526841422764, 0.24840712142752169, 0.24812493714418846, 0.24794775887810733, 0.24785926711695014, 0.2478559103048234, 0.24794711055885651, 0.24815771821617041, 0.24853351033474633, 0.24915151118548198, 0.25013875352849624, 0.25170689686393211, 0.25421854573517055, 0.25832121158329957, 0.26523688378686838, 0.27744356290702765, 0.30046168633279768, 0.34822956365505786, 0.46237537784751914, 0.79512099617401832, 1.8513927021520278, 2.2691541057702653, 1.1855027807353742, 0.72747616874305876, 0.54398893078047339, 0.45517093789366653, 0.40548167132608492, 0.37470267205020263, 0.35418497757993539, 0.33973832305196616, 0.32912977465490506, 0.32107767617872729, 0.31480148606292957, 0.3098023722425744, 0.30574856197581185, 0.30241187372688055, 0.29963083687444331, 0.29728835782874863, 0.29529770558416835, 0.29359344153667993, 0.29212538789970632, 0.29085451955917752, 0.28975010584615934, 0.28878768384493242, 0.28794759672477765, 0.28721392344319446, 0.2865736843398749, 0.28601624439435658, 0.28553286026342645, 0.28511633341940312, 0.28476074268614954, 0.28446123702563475, 0.28421387471217668, 0.28401549878548416, 0.28386364138456888, 0.28375645155843321, 0.28369264264824484, 0.28367145649409492, 0.28367492774116909, 0.28368534802228185, 0.28370273698234122, 0.28372712744714323, 0.28375856555049123, 0.28379711091349569, 0.28384283687746015, 0.28389583079212855, 0.28395619436154673, 0.28402404405024839, 0.28409951155299401, 0.28418274433181578, 0.28427390622478454, 0.2843731781314548, 0.28448075878084556, 0.28459686558842556, 0.28472173560964698, 0.28485562659846148, 0.28499881818045802, 0.2851516131515216, 0.28531433891434366, 0.28548734906685508, 0.28567102515841342, 0.28586577863184487, 0.28607205297186811, 0.28629032608326482, 0.28652111292547539, 0.28676496843407273, 0.28702249076399022, 0.28729432489447193, 0.28758116664172084, 0.28788376713217978, 0.28820293779759021, 0.28853955596260272, 0.2888945711070976, 0.289269011898866, 0.28966399410826715, 0.2900807295356097, 0.29052053610476936, 0.29098484930403978, 0.29147523518816237, 0.29199340519549638, 0.29254123308283253, 0.29312077433961203, 0.29373428851590117, 0.29438426498792708, 0.2950734527955628, 0.29580489532378729, 0.29658197077207049, 0.29740843957196167, 0.2982885001865036, 0.2992268550729878, 0.30022878903598932, 0.3013002627717789, 0.30244802515073099, 0.30367974875949288, 0.30500419451054661, 0.30643141283657155, 0.30797299128083988, 0.30964236140163315, 0.31145518215914242, 0.31342982283123788, 0.31558797672731587, 0.31795544861530289, 0.32056317549002439, 0.32344856464146488, 0.32665726894927372, 0.33024557339563188, 0.33428364954423184, 0.33886006392821943, 0.34408813239158109, 0.3501150491141698, 0.35713528365247654, 0.3654107140128921, 0.37530170165020749, 0.38731652700792629, 0.40219278971854944, 0.42103684550205145, 0.44557382144137048, 0.47862033855803399, 0.52503527241285131, 0.59377292639901735, 0.7026764541787649, 0.89045971516410327, 1.245693423146311, 1.9250633429292869, 2.5844187099876823, 1.8419284407028189, 0.97800341036736049, 0.59753927632937476, 0.43771156924035054, 0.36429083601540596, 0.32793675602985389, 0.30925791560454818, 0.29980781442409882, 0.29555961762172672, 0.29444949053607511, 0.29535912985111551, 0.29765770719740314, 0.30098060197574916, 0.30511597976501381, 0.30994363590233681, 0.31540052468899749, 0.32146050803820303, 0.32812192798602408, 0.33539955928826004, 0.34331899444305247, 0.35191229857054956, 0.36121419647803099, 0.37125829303943186, 0.38207297268570739, 0.3936767272736495, 0.40607275799764264, 0.41924281080229425, 0.43314035378187238, 0.44768339950330743, 0.46274751352967747, 0.47815981360398407, 0.49369501015513984, 0.50907470234619778, 0.52397114284426105, 0.53801643995558091, 0.55081763187753441, 0.56197726437290196, 0.57111813643075759, 0.57790993515529665, 0.58209478876805343, 0.58350852932318564, 0.58209478876807597, 0.57790993515533828, 0.57111813643075682, 0.56197726437290252, 0.55081763187755572, 0.53801643995557125, 0.52397114284426183, 0.50907470234619812, 0.49369501015515066, 0.47815981360398518, 0.46274751352966498, 0.44768339950329006, 0.43314035378188465, 0.41924281080229425, 0.40607275799765125, 0.39367672727365438, 0.38207297268570667, 0.37125829303941937, 0.36121419647804598, 0.35191229857055645, 0.34331899444305092, 0.33539955928826631, 0.32812192798602097, 0.32146050803820275, 0.3154005246889976, 0.30994363590233615, 0.30511597976501381, 0.30098060197574744, 0.29765770719740442, 0.29535912985112012, 0.29444949053607755, 0.29555961762172656, 0.29980781442409427, 0.30925791560455856, 0.32793675602984523, 0.36429083601537143, 0.4377115692403703, 0.59753927632931347, 0.97800341036737226, 1.8419284407022274, 2.5844187099874683, 1.9250633429292605, 1.245693423146325, 0.89045971516399136, 0.70267645417875801, 0.59377292639897694, 0.52503527241289238, 0.47862033855805131, 0.44557382144138624, 0.42103684550207349, 0.4021927897185481, 0.38731652700790842, 0.37530170165020071, 0.36541071401290448, 0.35713528365247837, 0.35011504911416746, 0.34408813239157759, 0.33886006392821588, 0.33428364954422785, 0.33024557339562849, 0.32665726894926966, 0.32344856464146493, 0.32056317549002444, 0.31795544861530373, 0.31558797672731592, 0.3134298228312391, 0.31145518215914259, 0.30964236140163137, 0.30797299128083783, 0.3064314128365736, 0.30500419451054617, 0.30367974875949244, 0.30244802515073221, 0.30130026277178057, 0.30022878903599076, 0.29922685507298741, 0.29828850018650299, 0.29740843957196156, 0.29658197077206905, 0.29580489532378718, 0.29507345279556413, 0.2943842649879258, 0.29373428851589967, 0.29312077433961115, 0.2925412330828327, 0.29199340519549694, 0.29147523518816265, 0.29098484930403895, 0.29052053610476786, 0.29008072953560948, 0.28966399410826715, 0.28926901189886567, 0.28889457110709671, 0.28853955596260211, 0.28820293779759093, 0.28788376713218011, 0.28758116664171918, 0.28729432489447154, 0.28702249076398856, 0.28676496843407207, 0.28652111292547572, 0.28629032608326493, 0.28607205297186727, 0.28586577863184459, 0.28567102515841264, 0.28548734906685475, 0.28531433891434516, 0.2851516131515211, 0.28499881818045952, 0.28485562659846236, 0.28472173560964742, 0.28459686558842512, 0.28448075878084633, 0.28437317813145679, 0.2842739062247841, 0.28418274433181689, 0.28409951155299373, 0.28402404405024861, 0.28395619436154701, 0.28389583079212832, 0.28384283687745981, 0.28379711091349624, 0.28375856555049039, 0.28372712744714351, 0.28370273698234183, 0.28368534802228279, 0.2836749277411692, 0.28367145649409303, 0.28367319192689028, 0.28367839920481852, 0.28368708126773778, 0.2836992430195272, 0.28371489133428496, 0.28373403506502443, 0.28375668505487289, 0.28378285415083954, 0.28381255722016369, 0.28384581116927415, 0.28388263496543931, 0.28392304966113158, 0.28396707842120128, 0.2840147465528875, 0.28406608153879137, 0.28412111307286636, 0.28417987309953463, 0.28424239585602673, 0.28430871791807655, 0.28437887824905256, 0.28445291825273761, 0.284530881829822, 0.2846128154383159, 0.28469876815805945, 0.28478879175948751, 0.28488294077687837, 0.28498127258628103, 0.28508384748839788, 0.2851907287966251, 0.28530198293056097, 0.28541767951528219, 0.28553789148669101, 0.28566269520328957, 0.28579217056475203, 0.28592640113772388, 0.28606547428924034, 0.28620948132829183, 0.28635851765600073, 0.28651268292500964, 0.28667208120865911, 0.28683682118059284, 0.28700701630556191, 0.28718278504211409, 0.28736425105808389, 0.28755154345973133, 0.28774479703557887, 0.28794415251598199, 0.28814975684963434, 0.28836176349829262, 0.28858033275112227, 0.28880563206022086, 0.28903783639897357, 0.28927712864511668, 0.28952369999052163, 0.28977775037992781, 0.29003948898106913, 0.29030913468891106, 0.29058691666691605, 0.29087307492868442, 0.29116786096353192, 0.29147153841003709, 0.29178438378199317, 0.29210668725165478, 0.29243875349578341, 0.29278090261050355, 0.29313347110177562, 0.29349681295896696, 0.29387130081996671, 0.29425732723718928, 0.29465530605502177, 0.29506567391046429, 0.29548889187020433, 0.29592544721900255, 0.29637585541612621, 0.29684066223872729, 0.29732044613350223, 0.29781582080080232, 0.29832743803854184, 0.29885599087704073, 0.29940221704014003, 0.29996690277295235, 0.30055088708228794, 0.30115506644244505, 0.30178040002686451, 0.30242791553503112, 0.30309871569468927, 0.30379398553165776, 0.30451500051412345, 0.30526313569530239, 0.30603987599859317, 0.30684682781317707, 0.30768573209644956, 0.30855847921348672, 0.30946712578419805, 0.31041391385737227, 0.31140129278916961, 0.31243194427438403, 0.31350881106424006, 0.31463513000889215, 0.31581447019035774, 0.31705077706805218, 0.31834842375254591, 0.31971227076237024, 0.32114773591716356, 0.32266087639373137, 0.32425848544164249, 0.32594820684991871, 0.32773867101388188, 0.32963965742175838, 0.33166228963228739, 0.33381927043969234, 0.33612516704773837, 0.33859675887561147, 0.34125346433915704, 0.34411786793601651, 0.34721637570222974, 0.35058003630472073, 0.35424557771317094, 0.35825672706241096, 0.36266590621866573, 0.36753643109102108, 0.37294539408157679, 0.37898748432538737, 0.38578011231612108, 0.39347037469045149, 0.40224465499962458, 0.41234206337950624, 0.42407356775547816, 0.47394322955915552, 0.56622476494700602, 0.77259177206926699, 1.3641759873899757, 2.2834705016249619, 0.94814169502607315, 0.45174794302299187, 0.32985320833642889, 0.29102359796289606, 0.27647708831529455, 0.27063465039706303, 0.2683146982970806, 0.26750574229978125, 0.26734193294787634, 0.26742591284760048, 0.26757027464108557, 0.26768822577631168, 0.26774342334978452, 0.26772537891496323, 0.2676367383993008, 0.2674864337645475, 0.26728590415188613, 0.26704700156174027, 0.26678085835178444, 0.26649731916374408, 0.26620470793397588, 0.26590979211006094, 0.26561785872273885, 0.26533284869640694, 0.2650575157807627, 0.26479358946608922, 0.26454192979316626, 0.26430266759894949, 0.26407532739499812, 0.26385893238097879, 0.26365209247851079, 0.2634530770323929, 0.26325987417939911, 0.26307023897954829, 0.26288173234600082, 0.26269175267043565, 0.26249756187233891, 0.26229630743973631, 0.26208504190550924, 0.26186074114429486, 0.26162032291103543, 0.26136066721271806, 0.26107864046608686, 0.26077112602967734, 0.26043506473638539, 0.26006751069221135, 0.2596657101629562, 0.25922721535055693, 0.25875005109276511, 0.25823296238339649, 0.25767578644517003, 0.25708001894790811, 0.25644968704036725, 0.25579271522650388, 0.25512309821320989, 0.25446442484885667, 0.25385572337010143, 0.25336141606360085, 0.25308880595125127, 0.25321993901290085, 0.2540722379404064, 0.25622004930390008, 0.26075411958654093, 0.26987984139138332, 0.28843442902777883, 0.32821817956441612, 0.42225335872841319, 0.67829214908246249, 1.4297827813479618, 2.2831597066480893, 1.5253906562362043, 0.94210208345987689, 0.68285824892827818, 0.55461334774550186, 0.48229342099479489, 0.43718636263885835, 0.4068531571994648, 0.38524990119196612, 0.36915542077016117, 0.35672154146045287, 0.34682285494832049, 0.33873982506949862, 0.33199335184619833, 0.32625329813621567, 0.32128539993343741, 0.31691915587300618, 0.31302770772100447, 0.30951484880706026, 0.30630642225511318, 0.30334451519052391, 0.30058349783407035, 0.29798733407379452, 0.29552782594999016, 0.2931836177727532, 0.29093992152427506, 0.28878907327287973, 0.2867322415496813, 0.28478297237775324, 0.28297395641033457, 0.28136985902187317, 0.28009227938631515, 0.27937055401678296, 0.27965173576055569, 0.2818583146762651, 0.28805677559855608, 0.30343743063864831, 0.34330186948876307, 0.46397083330544719, 0.91942988312741281, 1.7588055636672606, 1.0345564501707474, 0.6314079576693804, 0.48381701127824028, 0.41645052581359276, 0.37997405326706213, 0.35786610371864308, 0.34344902675519262, 0.33362051893370293, 0.32678786389799519, 0.32207520243226201, 0.31898204870475466, 0.31722353282118798, 0.31665253194831211, 0.31703235082548392, 0.31819145686367745, 0.3201917023771752, 0.32314660711544607, 0.32723995467608857, 0.33275905079671042, 0.34015385282708993, 0.35014519882883965, 0.36393287291720094, 0.38362246744567718, 0.41317528681134669, 0.46074380447553986, 0.54513250183555229, 0.71582183023789325, 1.1088385211446408, 1.7498238389108831, 1.2679044270030753, 0.64576740942448407, 0.42583252520831594, 0.344655358548274, 0.30994686053080256, 0.29349523107320802, 0.28525529577021624, 0.28110178327191054, 0.27914028166328375, 0.27842231787014032, 0.2784397880479153, 0.27890548081214461, 0.27964990289099367, 0.28056950560975574, 0.28159925552087856, 0.28269742285623156, 0.28383681085449158, 0.28499952675753881, 0.2861737727406784, 0.28735182629016665, 0.28852874103869069, 0.2897014951113861, 0.29086842382926609, 0.29202883690299331, 0.2931827576851363, 0.29433074472004966, 0.29547376986056623, 0.29661313608135265, 0.29775042382585787, 0.29888745847449127, 0.30002629404159892, 0.30116920994797214, 0.30231871895886553, 0.30347758531016772, 0.30464885279380494, 0.30583588322639588, 0.30704240635375946, 0.30827258290787979, 0.3095310832942596, 0.31082318531419018, 0.31215489550425252, 0.31353310021812464, 0.31496575464134752, 0.31646212074379437, 0.31803306906620882, 0.31969146469473902, 0.32145266553874285, 0.32333517222338226, 0.32536148530623532, 0.32755924993406155, 0.32996280502206582, 0.33261531109544729, 0.33557172083638037, 0.33890300127375372, 0.34270225595168152, 0.3470938019653515, 0.35224696853545395, 0.35839767301143899, 0.36588325575409558, 0.37520081781589087, 0.38710911599138353, 0.4028153976983363, 0.42433777243225379, 0.45525470523559519, 0.50236850280246659, 0.57964581204003474, 0.7175658233914326, 0.97624714582872496, 1.3394859572571234, 1.2226204244919052, 0.73173659408321134, 0.47402292775792698, 0.36846303591182411, 0.32224259305662889, 0.30003873598989794, 0.28854443450710504, 0.28224970252337162, 0.27865266000270661, 0.27653378618402519, 0.27527593972919412, 0.27457816057705686, 0.27433658588634335, 0.27461195113615716, 0.27566462960739641, 0.27808207866446438, 0.28309368113982863, 0.29334867630344458, 0.31500314388053252, 0.3640418252185183, 0.48838951732146496, 0.85130162033111767, 1.8085698194773379, 2.0718047247010292, 1.2976210764582765, 0.87863250626895462, 0.68360399883889411, 0.5809905922715537, 0.52052071055875726, 0.48173515600799366, 0.45525855740726595, 0.43632981812096649, 0.4223239307115057, 0.41169611327316435, 0.40348897991334315, 0.39708438683261199, 0.39207036915248067, 0.38816597267609587, 0.38517694038033479, 0.38296870764042296, 0.38144958672019624, 0.38056025700484836, 0.38026739623626926], [0.32477582775604436, 0.32535983687542613, 0.3271593199452299, 0.33032823784556414, 0.33516688584763488, 0.3422087634047607, 0.35240211131569676, 0.36750801412026424, 0.39105725675279046, 0.43096525446997663, 0.50800948607104002, 0.68970401603058562, 1.2234387196681207, 1.5709183843604309, 0.65236007268876617, 0.38917239550192845, 0.31949302071014085, 0.29635985393303377, 0.28790286169629059, 0.28506195553102898, 0.28466251132503056, 0.28541844876821082, 0.28675328516291915, 0.28839019410431371, 0.29019078700284584, 0.29208544592004043, 0.29404093996724295, 0.29604451350117938, 0.29809576520186115, 0.30020244380367278, 0.30237833759468441, 0.30464236908898618, 0.30701845947646489, 0.30953596425965524, 0.31223061984107692, 0.31514603798169805, 0.31833587322024898, 0.32186689127207546, 0.32582330925119091, 0.3303129968776124, 0.33547648061079532, 0.341500285433122, 0.34863718008994982, 0.35723774921096124, 0.36780119257692001, 0.38106004194861914, 0.39812739858229745, 0.42076539583505862, 0.45190286580127598, 0.49670104451344549, 0.56492006144706075, 0.67662896148250273, 0.87698384143786323, 1.2721317549559576, 2.0250393517208574, 2.4970810684468536, 1.5780903202497321, 0.85137999091423366, 0.54320018607279053, 0.40848353141879479, 0.34284863867487564, 0.30775039521267089, 0.28760098019249752, 0.27539946465818299, 0.2677066665721024, 0.26270515399196032, 0.25937593072773268, 0.25711941680889749, 0.25556861225633998, 0.25449156067103412, 0.25373792772402903, 0.25320856175521245, 0.25283761093361479, 0.25258182320648315, 0.25241417097386548, 0.2523202691915758, 0.25229681308108631, 0.25235176012061961, 0.25250640434939731, 0.25279999334708048, 0.2532983245016952, 0.25410920599220238, 0.25541060104398777, 0.2575036444651107, 0.26091753874288248, 0.26663055684457693, 0.27657375853378185, 0.29489849733362056, 0.3315952915222683, 0.41464440264294816, 0.63947168914195252, 1.3757520374576231, 2.5647992995101103, 1.5372014473168747, 0.86287957529369541, 0.60754868288323272, 0.49173157730211969, 0.42984953186592878, 0.39273510558550229, 0.3685660045991993, 0.35184387698598524, 0.33972901998896538, 0.3306309804983521, 0.3235999830126115, 0.31803868642607308, 0.31355504465454365, 0.30988242010532246, 0.30683391641316071, 0.30427510675757929, 0.3021071257480914, 0.30025584054282817, 0.2986647156855553, 0.29728999266628681, 0.29609736028802786, 0.29505960893324729, 0.29415494859692837, 0.29336578370628125, 0.29267780804448851, 0.29207932777611234, 0.29156074956734773, 0.2911141899748631, 0.29073317519251518, 0.29041240908873606, 0.29014759362101095, 0.2899352900647062, 0.2897728126213388, 0.2896581482618929, 0.28958989837549415, 0.28956723911373344, 0.28957094881149897, 0.28958208498950028, 0.28960066892967101, 0.28962673619480894, 0.28966033676872011, 0.28970153525391212, 0.2897504111284171, 0.28980705906373438, 0.28987158930642143, 0.28994412812637466, 0.29002481833542809, 0.29011381988048979, 0.2902113105161741, 0.29031748656251849, 0.29043256375436927, 0.29055677818973497, 0.29069038738561043, 0.29083367145079503, 0.29098693438659751, 0.29115050552775124, 0.29132474113750784, 0.29151002617284921, 0.29170677623779445, 0.29191543974535544, 0.29213650031150273, 0.29237047940774746, 0.2926179393027733, 0.29287948632790284, 0.29315577450628943, 0.2934475095916268, 0.29375545356912747, 0.29408042967961168, 0.29442332803709442, 0.29478511192149953, 0.29516682484141671, 0.29556959847762421, 0.29599466163682775, 0.29644335036756725, 0.296917119417065, 0.29741755524026964, 0.29794639081136309, 0.29850552253550816, 0.29909702961641094, 0.2997231963059967, 0.30038653754941297, 0.30108982864597877, 0.30183613967990003, 0.30262887564089413, 0.30347182336335016, 0.30436920667587197, 0.30532575148696522, 0.30634676295920382, 0.30743821747269146, 0.30860687278866739, 0.30986040075030413, 0.3112075480750533, 0.31265833240630952, 0.31422428294905619, 0.31591873792446323, 0.31775721504416371, 0.31975787666586225, 0.32194211889619401, 0.32433532462340642, 0.32696783576096383, 0.32987622212585138, 0.3331049569064915, 0.33670865724490606, 0.3407551222537164, 0.34532951506914439, 0.35054021623600662, 0.35652716802101475, 0.36347401411457786, 0.37162616611806948, 0.38131838273847174, 0.39301809561206852, 0.40739572605904284, 0.42544313814043244, 0.44868192173233046, 0.47954826804579087, 0.52214634859875364, 0.58382440458162299, 0.67872603581868007, 0.83639255133338819, 1.1230356964666071, 1.6769079957139876, 2.5023096260467388, 2.3301419654531088, 1.2955974864703363, 0.73815295670621472, 0.50478508104983477, 0.40053130755907101, 0.34989090351847785, 0.32395377432823652, 0.31054050148326384, 0.30401102277133413, 0.30154125196547865, 0.30162795591010377, 0.30343388668111471, 0.30647881039394009, 0.31048430877341171, 0.31529158913030808, 0.32081594476497366, 0.32702049119100818, 0.33390042282373883, 0.34147315557543328, 0.34977177801842196, 0.35884029688435792, 0.36872972606970228, 0.37949437222543669, 0.39118783797129808, 0.40385836473005599, 0.41754321477754397, 0.43226187891801315, 0.44800802000618078, 0.46474024739759412, 0.48237208024330114, 0.50076180047259933, 0.51970329585180086, 0.53891938987541976, 0.55805944783353478, 0.57670310566175309, 0.59437165845327022, 0.61054788753984823, 0.62470392389766571, 0.63633530722818199, 0.64499799731868046, 0.65034407574125597, 0.65215153887710375, 0.65034407574128317, 0.64499799731873408, 0.63633530722818077, 0.62470392389766538, 0.61054788753987477, 0.59437165845325735, 0.57670310566175453, 0.55805944783353378, 0.5389193898754342, 0.51970329585180175, 0.5007618004725839, 0.48237208024328065, 0.46474024739760939, 0.44800802000618117, 0.43226187891802326, 0.41754321477754952, 0.40385836473005571, 0.39118783797128398, 0.37949437222545446, 0.36872972606971061, 0.35884029688435615, 0.34977177801842896, 0.34147315557542984, 0.3339004228237385, 0.32702049119100812, 0.32081594476497294, 0.31529158913030825, 0.31048430877340966, 0.30647881039394143, 0.30343388668111987, 0.30162795591010538, 0.30154125196547876, 0.30401102277133085, 0.3105405014832725, 0.32395377432823036, 0.34989090351845209, 0.40053130755908528, 0.50478508104978903, 0.73815295670621872, 1.2955974864699304, 2.330141965453095, 2.5023096260465651, 1.6769079957139994, 1.1230356964664288, 0.83639255133338308, 0.678726035818628, 0.5838244045816815, 0.52214634859877618, 0.47954826804580991, 0.44868192173235799, 0.42544313814043061, 0.4073957260590213, 0.39301809561206069, 0.38131838273848689, 0.37162616611807153, 0.36347401411457503, 0.35652716802101064, 0.35054021623600246, 0.34532951506913995, 0.34075512225371268, 0.33670865724490134, 0.3331049569064915, 0.3298762221258516, 0.32696783576096483, 0.32433532462340636, 0.32194211889619534, 0.31975787666586253, 0.3177572150441616, 0.31591873792446107, 0.31422428294905813, 0.31265833240630919, 0.31120754807505274, 0.30986040075030541, 0.30860687278866911, 0.30743821747269306, 0.30634676295920349, 0.30532575148696461, 0.30436920667587186, 0.30347182336334855, 0.30262887564089419, 0.30183613967990119, 0.30108982864597755, 0.3003865375494113, 0.29972319630599564, 0.29909702961641105, 0.29850552253550866, 0.29794639081136332, 0.2974175552402688, 0.29691711941706322, 0.29644335036756686, 0.2959946616368278, 0.29556959847762354, 0.29516682484141571, 0.29478511192149887, 0.29442332803709514, 0.29408042967961184, 0.29375545356912575, 0.2934475095916263, 0.29315577450628766, 0.29287948632790195, 0.29261793930277363, 0.29237047940774752, 0.29213650031150212, 0.29191543974535517, 0.29170677623779356, 0.29151002617284894, 0.29132474113750939, 0.29115050552775079, 0.29098693438659912, 0.29083367145079597, 0.29069038738561087, 0.29055677818973458, 0.29043256375437021, 0.29031748656252071, 0.29021131051617377, 0.29011381988049106, 0.29002481833542798, 0.28994412812637482, 0.28987158930642171, 0.28980705906373427, 0.28975041112841682, 0.28970153525391273, 0.28966033676871927, 0.28962673619480928, 0.28960066892967151, 0.28958208498950122, 0.28957094881149914, 0.28956723911373144, 0.28956909375638401, 0.28957465875024896, 0.28958393729444443, 0.28959693472543263, 0.2896136585239526, 0.28963411832474395, 0.28965832592907176, 0.28968629532012619, 0.28971804268131007, 0.2897535864174528, 0.28979294717903786, 0.28983614788947504, 0.28988321377552306, 0.2899341724008998, 0.28998905370322003, 0.29004789003432452, 0.29011071620412771, 0.29017756952809648, 0.29024848987851054, 0.29032351973960108, 0.29040270426680803, 0.2904860913502364, 0.29057373168254935, 0.29066567883149974, 0.29076198931728758, 0.29086272269500751, 0.29096794164241291, 0.2910777120533129, 0.29119210313684751, 0.29131118752299323, 0.29143504137465059, 0.29156374450666717, 0.29169738051221222, 0.29183603689693366, 0.29197980522139771, 0.29212878125227348, 0.29228306512287305, 0.2924427615035986, 0.29260797978299108, 0.29277883426006368, 0.29295544434866866, 0.29313793479479816, 0.29332643590763124, 0.29352108380540115, 0.29372202067708453, 0.29392939506114152, 0.294143362142538, 0.29436408406946302, 0.2945917302912579, 0.29482647791922117, 0.29506851211212493, 0.29531802648841105, 0.2955752235672896, 0.29584031524112736, 0.29611352328178331, 0.29639507988379377, 0.29668522824764837, 0.29698422320663986, 0.29729233190127985, 0.29760983450554296, 0.29793702500976799, 0.29827421206552768, 0.29862171989834196, 0.29897988929484332, 0.29934907867163058, 0.29972966523401323, 0.30012204623366778, 0.30052664033541887, 0.30094388910444325, 0.30137425862669742, 0.30181824127682255, 0.3022763576496299, 0.30274915867327756, 0.30323722792455954, 0.30374118416939605, 0.30426168415464594, 0.30479942568088714, 0.30535515098977528, 0.30592965050431714, 0.30652376696567901, 0.30713840001643589, 0.30777451128733857, 0.30843313005306283, 0.30911535953228259, 0.30982238391871575, 0.31055547624336566, 0.31131600718381919, 0.31210545495514458, 0.31292541643881894, 0.31377761973221269, 0.31466393833202966, 0.31558640720204034, 0.31654724101957915, 0.31754885494826196, 0.31859388834824021, 0.31968523191242249, 0.32082605881096049, 0.32201986054027137, 0.32327048831271477, 0.32458220099481389, 0.32595972081372371, 0.32740829831492557, 0.32893378838166026, 0.33054273953765445, 0.33224249927206051, 0.33404133878128772, 0.33594860135810439, 0.33797487973014323, 0.3401322290335555, 0.34243442390605805, 0.34489727053841884, 0.34753898763023183, 0.35038067432835079, 0.35344688876984509, 0.3567663683554263, 0.36037293313512636, 0.36430662784732076, 0.36861517791365911, 0.37335586259037568, 0.37859794834665184, 0.38442588326887711, 0.39094353805012944, 0.39827990543977182, 0.40659686130050715, 0.41609988502273654, 0.42705309913008299, 0.43980072685092209, 0.45479827257030947, 0.5206665047969089, 0.65053976944411207, 0.96856020743939886, 1.8919039517872738, 1.8701514331340496, 0.69316401756666368, 0.39987560168912356, 0.31891950825038118, 0.29091549859464211, 0.2799680195926304, 0.27551687483497883, 0.27378807972410929, 0.27324203509251555, 0.2731930949188891, 0.27331991021570246, 0.27346983681073023, 0.27357316252385688, 0.27360253522480732, 0.27355253859323381, 0.27342888241646324, 0.27324246778274791, 0.27300606273738304, 0.27273244404862829, 0.27243339415114221, 0.27211920920924748, 0.27179851481739548, 0.27147826410702536, 0.27116383912497666, 0.27085920495481841, 0.27056708454917894, 0.27028913451493702, 0.27002611031837415, 0.26977801486142822, 0.26954422796668753, 0.26932361657454262, 0.26911462680866821, 0.26891535979923908, 0.26872363347745848, 0.268537032620352, 0.26835294933697024, 0.26816861601952474, 0.267981132587152, 0.26778748966226079, 0.2675845891690285, 0.26736926375596726, 0.26713829644848597, 0.2668884420689388, 0.26661645227194819, 0.26631910660693808, 0.26599325295195442, 0.26563586213922957, 0.26524410388995256, 0.26481545473426399, 0.26434785412641815, 0.26383993365188552, 0.26329135804022352, 0.26270333903419429, 0.26207941996015982, 0.2614266907559375, 0.2607576998893068, 0.26009351835333139, 0.25946875497698096, 0.25893997075101705, 0.25860020928822763, 0.25860495536770489, 0.25922040817031083, 0.26091764392819689, 0.26456714136405107, 0.271869650395693, 0.28639585505234216, 0.3163753875539192, 0.38321321220946325, 0.55143209514186087, 1.0353984012178337, 2.121402691597098, 2.0086123130221925, 1.2025160952606166, 0.81151983449676968, 0.62830356539294252, 0.53036442256810445, 0.47175128261730925, 0.43355834284435019, 0.40701702782595828, 0.38762843570859262, 0.37288965031635235, 0.36131454674786101, 0.35197265587839921, 0.34425526088046454, 0.33774917730310805, 0.33216500140196725, 0.32729447822085245, 0.32298419579373316, 0.3191188195694219, 0.31561011066468081, 0.31238957168907489, 0.30940344569358502, 0.30660930071978076, 0.30397373884220441, 0.30147096854650735, 0.29908212897251302, 0.29679539546328193, 0.2946070717893256, 0.2925241521989887, 0.29056934460834621, 0.28879056350773052, 0.28727908095019222, 0.28620551035063291, 0.28589505884562927, 0.28699630791902525, 0.29089521956056047, 0.3008549624218505, 0.32566816783935271, 0.39395874921996049, 0.62455903638562282, 1.4484925744519161, 1.4650554866350536, 0.79330580186706945, 0.5510489566361606, 0.45223058148901751, 0.40279470428988462, 0.37438726532844419, 0.35652994239682856, 0.34466589538085024, 0.33656700005400736, 0.33105169378083793, 0.32746273669401238, 0.32543316915311638, 0.32477582775604436, 0.32521298665916443, 0.32654930166663609, 0.32886327079767047, 0.33230012433348927, 0.33709786807805037, 0.34363481872471591, 0.35251641727899241, 0.36473957275861324, 0.38202195398354649, 0.4075126130844946, 0.44747401751970989, 0.51573409255170755, 0.64699363240292584, 0.93817270850645229, 1.5620660082247781, 1.6041945281418515, 0.81916697364675684, 0.48986691025903423, 0.37398132620291308, 0.32675091394516181, 0.30502972553976881, 0.29429728995934762, 0.28886331297617729, 0.28620712052045982, 0.28510109273499984, 0.28490151485777421, 0.28525054571750991, 0.28593974334598588, 0.2868430363857345, 0.28788183843390963, 0.28900598677491363, 0.29018288861127356, 0.29139111817565438, 0.29261652224349893, 0.29384978759135505, 0.29508488608754507, 0.2963180606951325, 0.29754715285332634, 0.29877115002839183, 0.29998987816483663, 0.30120379137801268, 0.30241382819929735, 0.30362131433585826, 0.30482789872787863, 0.30603551414426899, 0.30724635653745663, 0.30846287942244505, 0.30968780099792831, 0.31092412280933607, 0.31217515961378817, 0.31344458085137639, 0.31473646483588924, 0.31605536752232699, 0.31740640855580365, 0.31879537833498151, 0.32022887112760212, 0.32171445098291573, 0.32326085947132138, 0.32487827739568015, 0.32657865692725768, 0.32837614666507958, 0.33028764072071848, 0.3323334953513597, 0.33453847486978211, 0.3369330156819258, 0.33955493842050388, 0.34245180167240086, 0.34568419100616499, 0.34933039869329968, 0.35349321698475938, 0.35831002260659683, 0.36396812746202456, 0.37072881669195307, 0.37896621992746338, 0.38923251870321196, 0.40237204219180572, 0.41973084411108336, 0.44356382611120665, 0.47787756718670615, 0.53029913323629574, 0.61647350780879384, 0.77020711732716651, 1.0546986957627853, 1.4253132557804205, 1.25517086804973, 0.74964627980610921, 0.48871672695392093, 0.38030864313554719, 0.33219515026927837, 0.30885782055088745, 0.29670130663441974, 0.29002151180089869, 0.28619767368415244, 0.28393379407735675, 0.28255556257712028, 0.28170727943679075, 0.28121604880539208, 0.28103529042342867, 0.28123563344743502, 0.2820392674058565, 0.2839190468281656, 0.28782846043367633, 0.29574173608494558, 0.31201968905550537, 0.3472537457535132, 0.43060493274851486, 0.65451786412257262, 1.3061748807386913, 2.2681562558984454, 1.7397119792353481, 1.1102586049743355, 0.81095758531875783, 0.66145620371652591, 0.57740209096699435, 0.52539942710211818, 0.49085519026521923, 0.466667984259448, 0.44905782228125246, 0.43586303253348219, 0.42577486720986979, 0.41796439104284006, 0.41188783667376511, 0.40717918111041584, 0.40358805516591995, 0.40094252925528473, 0.39912625752850622, 0.3980643496117704, 0.39771488004381794], [0.33334507137883246, 0.33402283855811898, 0.33611680843440855, 0.33982512425949507, 0.34553950511398779, 0.35397048241734835, 0.36641829048529134, 0.38539519748852724, 0.41621549919963763, 0.47170237701852491, 0.58907085157889738, 0.90246370006490073, 1.6714068538174984, 1.0354685311309484, 0.48657685103470422, 0.35321901173875447, 0.31281063679810106, 0.29836194210611927, 0.29307533346390779, 0.29157111311029182, 0.29179998755388176, 0.29288081734076221, 0.29440133923823103, 0.29615767770476609, 0.29804632408041343, 0.30001546882534108, 0.3020416211548328, 0.30411783092783345, 0.30624758482517478, 0.30844164946351754, 0.31071654878485711, 0.31309402889405535, 0.31560119832131012, 0.31827121554383525, 0.32114451200029731, 0.32427063089299341, 0.32771085701771652, 0.33154193456473741, 0.33586134788151106, 0.34079492038413212, 0.34650794832581527, 0.35322187418300383, 0.36123989711792254, 0.37098747025231399, 0.38307850271498911, 0.39842779639264725, 0.41845063192380244, 0.44543574299455324, 0.4832854774752669, 0.53909123235622869, 0.62676492092788783, 0.77611872852807573, 1.0564273032518543, 1.6196969101983458, 2.4683476844182253, 2.2090908896146044, 1.1999059813908379, 0.69189013361770457, 0.47877140094894488, 0.38077471951160119, 0.33078153798125637, 0.30309066921637573, 0.28677131841956743, 0.27669361644661572, 0.27024565208376555, 0.26600662190945179, 0.2631609290024165, 0.26121930426655127, 0.25987743146474324, 0.25894038174247691, 0.25828039034681505, 0.25781238627997588, 0.25747940872528369, 0.25724377687487954, 0.25708177924460823, 0.25698067067166008, 0.25693736039763676, 0.25695857401843075, 0.257062616066556, 0.25728326866377588, 0.25767699488550666, 0.25833576445392631, 0.2594101041366606, 0.26115183700401501, 0.26399701786474444, 0.26873653833179467, 0.27689356701597501, 0.29163820664868151, 0.32027568272028945, 0.38209976881307178, 0.53824925500395848, 1.0241811494584856, 2.3679797922013366, 2.0231220093734952, 1.0575259246573061, 0.691711034863985, 0.53710793042265004, 0.45873402138167563, 0.413420436792726, 0.38467645427198355, 0.36517200993826598, 0.35124962659131548, 0.34091495850611309, 0.33300211273289881, 0.32679037143994993, 0.32181340259317437, 0.31775780556683453, 0.31440611671536334, 0.31160327361487417, 0.30923608620176896, 0.30722023337447807, 0.30549177747460771, 0.3040014802360736, 0.30271090623300279, 0.30158969623463744, 0.30061362392091828, 0.29976318804973312, 0.29902257755404815, 0.29837890089430286, 0.29782160568707988, 0.29734203743249743, 0.29693310142424206, 0.29658900231782298, 0.29630504302595151, 0.29607746967108828, 0.29590335294678549, 0.29578049887981672, 0.29570738395322932, 0.29568311105940848, 0.29568708157442664, 0.29569900080948558, 0.29571889186533629, 0.2957467933458971, 0.29578275951312871, 0.29582686050554036, 0.29587918262209956, 0.29593982867378588, 0.29600891840563731, 0.29608658899270957, 0.29617299561403815, 0.29626831210935745, 0.29637273172417017, 0.29648646794947575, 0.29660975546358803, 0.29674285118430049, 0.29688603544101133, 0.29703961327759631, 0.29720391589837275, 0.29737930227113718, 0.29756616090314641, 0.29776491180815873, 0.29797600868500823, 0.29819994133114142, 0.29843723831777247, 0.29868846995707526, 0.29895425159623795, 0.29923524727825096, 0.29953217381522124, 0.29984580532686228, 0.30017697830490725, 0.30052659727363035, 0.30089564112781619, 0.3012851702426772, 0.3016963344658079, 0.30213038211985471, 0.30258867016664198, 0.30307267571007218, 0.30358400904688337, 0.30412442851287264, 0.30469585741863781, 0.30530040342555509, 0.30594038078185259, 0.30661833592349608, 0.3073370770491865, 0.30809970840841228, 0.30890967020281601, 0.3097707852032312, 0.3106873134389932, 0.311664016638314, 0.31270623450882595, 0.31381997547375839, 0.31501202515887217, 0.31629007680920335, 0.31766288897316719, 0.31914047732201356, 0.32073434951186808, 0.32245779473736308, 0.32432624334765514, 0.32635771699982785, 0.3285733969014446, 0.33099834762053315, 0.33366244804049694, 0.33660160133416689, 0.339859325474624, 0.3434888697773561, 0.34755606932236743, 0.35214325108155181, 0.35735466547671363, 0.363324173383967, 0.37022633942145411, 0.37829279197647275, 0.3878369428719628, 0.39929237150292057, 0.41327429659902964, 0.43068154915125151, 0.4528726991024522, 0.48198476082779257, 0.52154183847411739, 0.57769206623807623, 0.66190411626356582, 0.79728701492954457, 1.0340923565626812, 1.4824232656298668, 2.2718176390000182, 2.6784309109837037, 1.7135799137034804, 0.9353717646585672, 0.59604173893233781, 0.44790267722985988, 0.3775356789893487, 0.34184164958196478, 0.32320786916247823, 0.31371421680123629, 0.30949002059102204, 0.30851354029004036, 0.30967417005018472, 0.31234040250431899, 0.31614721518722055, 0.32088546978742782, 0.32644162781572378, 0.332763560402903, 0.33984046354655451, 0.34769064110989362, 0.35635374760720273, 0.36588552634481275, 0.37635383269697359, 0.38783512907671996, 0.40041084371891666, 0.41416308883895703, 0.42916928878170646, 0.44549531457194003, 0.46318679316257583, 0.48225839400737075, 0.50268112933743625, 0.52436806895667465, 0.54715937756857391, 0.57080820562546097, 0.59496961586276842, 0.61919524663033532, 0.64293657985252861, 0.66555926926185627, 0.68636985169787113, 0.70465435545888278, 0.71972612289317273, 0.73097807007636506, 0.73793316097351269, 0.74028648777923434, 0.73793316097355088, 0.73097807007643545, 0.7197261228931694, 0.70465435545888466, 0.68636985169790554, 0.66555926926184161, 0.64293657985253205, 0.61919524663033532, 0.59496961586278552, 0.57080820562546231, 0.54715937756855559, 0.52436806895664878, 0.50268112933745557, 0.48225839400737147, 0.46318679316258821, 0.44549531457194708, 0.42916928878170613, 0.41416308883894015, 0.40041084371893754, 0.3878351290767299, 0.37635383269697154, 0.36588552634482147, 0.35635374760719879, 0.34769064110989312, 0.33984046354655434, 0.33276356040290228, 0.32644162781572378, 0.32088546978742516, 0.31614721518722194, 0.3123404025043246, 0.30967417005018572, 0.30851354029004074, 0.30949002059102032, 0.31371421680124362, 0.32320786916247318, 0.3418416495819448, 0.37753567898935797, 0.44790267722983018, 0.59604173893233425, 0.93537176465833449, 1.7135799137036265, 2.6784309109834794, 2.2718176389999312, 1.4824232656295757, 1.0340923565626678, 0.79728701492946608, 0.66190411626364787, 0.57769206623810643, 0.52154183847414126, 0.4819847608278276, 0.4528726991024502, 0.43068154915122486, 0.41327429659902082, 0.39929237150293873, 0.38783694287196513, 0.37829279197646976, 0.37022633942144889, 0.363324173383962, 0.35735466547670863, 0.35214325108154781, 0.34755606932236244, 0.34348886977735604, 0.33985932547462444, 0.33660160133416783, 0.33366244804049672, 0.33099834762053465, 0.32857339690144477, 0.3263577169998258, 0.32432624334765264, 0.32245779473736541, 0.32073434951186763, 0.31914047732201301, 0.31766288897316874, 0.31629007680920523, 0.31501202515887405, 0.31381997547375795, 0.31270623450882529, 0.31166401663831406, 0.31068731343899153, 0.3097707852032312, 0.30890967020281745, 0.308099708408411, 0.30733707704918478, 0.30661833592349502, 0.30594038078185276, 0.3053004034255557, 0.30469585741863808, 0.30412442851287186, 0.3035840090468816, 0.30307267571007185, 0.3025886701666422, 0.30213038211985399, 0.30169633446580668, 0.30128517024267631, 0.30089564112781725, 0.30052659727363074, 0.30017697830490547, 0.29984580532686173, 0.29953217381521935, 0.29923524727825013, 0.29895425159623823, 0.29868846995707549, 0.29843723831777164, 0.29819994133114119, 0.29797600868500729, 0.29776491180815834, 0.29756616090314802, 0.29737930227113674, 0.29720391589837442, 0.29703961327759731, 0.29688603544101178, 0.29674285118430005, 0.29660975546358886, 0.29648646794947797, 0.2963727317241695, 0.29626831210935878, 0.29617299561403804, 0.29608658899270979, 0.29600891840563759, 0.29593982867378571, 0.29587918262209911, 0.29582686050554113, 0.29578275951312794, 0.29574679334589743, 0.2957188918653369, 0.29569900080948658, 0.2956870815744268, 0.29568311105940637, 0.29568509609351701, 0.29569105235821491, 0.29570098334216016, 0.29571489486494251, 0.29573279508485056, 0.29575469450977138, 0.29578060601123418, 0.29581054484167618, 0.29584452865494909, 0.2958825775301146, 0.29592471399862247, 0.29597096307491244, 0.29602135229055893, 0.29607591173200459, 0.29613467408204108, 0.29619767466511238, 0.29626495149659021, 0.29633654533614728, 0.29641249974540396, 0.29649286114996676, 0.29657767890612385, 0.29666700537230573, 0.29676089598557648, 0.29685940934339411, 0.29696260729085755, 0.29707055501374607, 0.29718332113761675, 0.29730097783332543, 0.29742360092926029, 0.29755127003069592, 0.2976840686466794, 0.29782208432486051, 0.29796540879475381, 0.29811413811993465, 0.29826837285975483, 0.29842821824112081, 0.29859378434104933, 0.2987651862806473, 0.29894254443133278, 0.2991259846340974, 0.29931563843269771, 0.29951164332182328, 0.29971414301121663, 0.29992328770699378, 0.3001392344113627, 0.30036214724218324, 0.30059219777383017, 0.30082956540102995, 0.30107443772747383, 0.30132701098117531, 0.30158749045875805, 0.3018560910010144, 0.30213303750237841, 0.30241856545716217, 0.30271292154572327, 0.3030163642640335, 0.30332916460052023, 0.30365160676436143, 0.30398398897000484, 0.30432662428304491, 0.30467984153324601, 0.30504398630111429, 0.30541942198509447, 0.30580653095736221, 0.30620571581696487, 0.30661740075022709, 0.30704203300936439, 0.30748008452168651, 0.30793205364314585, 0.30839846707179508, 0.30887988193855509, 0.30937688809496122, 0.30989011062005195, 0.31042021257144287, 0.31096789800894736, 0.31153391532289887, 0.31211906090372971, 0.31272418319435913, 0.31335018717286001, 0.3139980393195641, 0.31466877313069574, 0.31536349524972113, 0.31608339229827531, 0.3168297385011058, 0.31760390421395412, 0.31840736548069881, 0.31924171476623026, 0.320108673035644, 0.32101010337872143, 0.32194802641260822, 0.32292463773592922, 0.32394232775598858, 0.3250037042688117, 0.32611161824182094, 0.327269193333727, 0.32847985978909222, 0.32974739347077592, 0.33107596094703418, 0.33247017173933124, 0.33393513907070616, 0.335476550744507, 0.33710075214568619, 0.33881484381064497, 0.34062679658453826, 0.34254558811109903, 0.34458136532674655, 0.34674563882051379, 0.34905151645893262, 0.35151398567611536, 0.35415025645264542, 0.35698018047255925, 0.3600267665635179, 0.36331681872627741, 0.36688173146588005, 0.37075848864354088, 0.37499092798060735, 0.37963135559092803, 0.38474262637847351, 0.39040085118113782, 0.39669895688795848, 0.40375142189295848, 0.41170065281755325, 0.42072568628780183, 0.43105423582466773, 0.44297963247312622, 0.45688505479893127, 0.47327882898839724, 0.49284689312225072, 0.5821313799129797, 0.77169723461976736, 1.280353746790784, 2.4060815613633242, 1.2930302485195162, 0.54986573545012252, 0.3689000623135682, 0.31313742720142573, 0.29254080198957033, 0.28423763238779592, 0.28085861582241484, 0.2795995076241789, 0.27926516137374496, 0.27930731176366175, 0.27946460817588348, 0.2796126985975394, 0.27969619491782749, 0.27969553151000465, 0.27960984303037645, 0.27944769250432805, 0.2792218816001914, 0.27894650154106815, 0.2786352727894415, 0.27830065306228968, 0.27795341302463739, 0.27760249718800767, 0.27725505495584762, 0.27691656759479849, 0.27659102299414534, 0.276281107395212, 0.27598839502042899, 0.27571352453533676, 0.27545635667168761, 0.27521611088804776, 0.27499148118642125, 0.27478073253298196, 0.27458178003762207, 0.27439225334138045, 0.27420954869462844, 0.2740308710891935, 0.27385326860873371, 0.27367366093560475, 0.27348886373530595, 0.27329561045998957, 0.27309057299462175, 0.27287038254024681, 0.27263165222136604, 0.27237100316522522, 0.2720850962974426, 0.2717706729327809, 0.27142460856798761, 0.27104398634795024, 0.27062619986051778, 0.27016909983439485, 0.26967120697410885, 0.26913202523772184, 0.26855250918145007, 0.26793577046954109, 0.26728816097659186, 0.2666209589058155, 0.2659530395730752, 0.26531519098916262, 0.26475725002149098, 0.264360224367574, 0.26425754266152968, 0.2646737130859515, 0.26599780798609557, 0.26893066487806028, 0.27479899116395229, 0.28627929152026488, 0.30923215216153038, 0.35792326355060217, 0.47203868545214106, 0.77813114449764287, 1.6246670855322694, 2.3956673827941692, 1.5927891013511866, 1.0010332205128016, 0.72994914872265215, 0.59308357665146116, 0.51496224987956607, 0.46587175174127421, 0.43270106591672775, 0.40900209143742189, 0.39130919126274022, 0.37762180079455776, 0.36671618391900346, 0.3578072289303898, 0.35037077037367681, 0.3440448610535537, 0.33857224630319027, 0.33376545984225714, 0.32948489721757035, 0.32562462736294712, 0.32210298195505888, 0.31885619425460321, 0.31583405320699809, 0.31299694729158828, 0.31031392793075685, 0.307761598470847, 0.30532378007852246, 0.30299206197189127, 0.30076756311887937, 0.29866460755994734, 0.29671773401779067, 0.29499494669240289, 0.29362339608216903, 0.29284143511641414, 0.29311080909510068, 0.29537828383937381, 0.30175060019173655, 0.31747998191029836, 0.35791170679735124, 0.47886371329829547, 0.92931878970404347, 1.7985681888947209, 1.0791772987135633, 0.65607316238979918, 0.50171256074663839, 0.43173397279853387, 0.39410481399475811, 0.37149140768601502, 0.35692791995481005, 0.34719996798188008, 0.34067429697225565, 0.33647052869876926, 0.33410799614252323, 0.33334507137883246, 0.33385232345637839, 0.33540590511601898, 0.33810686139236074, 0.34214388205644425, 0.34783059777605441, 0.35567526998397053, 0.36651206064650516, 0.38175937552582828, 0.40396289189898915, 0.43803824999649144, 0.49442900742806373, 0.59816348273212494, 0.81737637649914363, 1.3233756036070377, 1.8103363504671406, 1.0590614194018193, 0.57751793975858856, 0.41127790809157655, 0.34684774331016999, 0.31822537418454883, 0.30433810727244959, 0.29732011060990443, 0.29381638164116342, 0.29223960564566037, 0.2917758276663816, 0.29198034309997223, 0.29259757977489842, 0.29347455908784603, 0.29451666487605294, 0.29566383734881574, 0.29687718763722265, 0.29813118488212165, 0.29940894649833188, 0.3006993185052601, 0.3019950209494226, 0.30329144473507325, 0.30458585682453465, 0.3058768672816089, 0.30716406776408983, 0.30844778455626126, 0.30972890967473332, 0.3110087863334261, 0.31228913317499168, 0.31357199695676063, 0.31485972689060132, 0.31615496623352046, 0.31746065841905297, 0.31878006627274474, 0.32011680384386293, 0.32147488123321888, 0.32285876359859383, 0.324273446353605, 0.32572454952240115, 0.32721843535657957, 0.32876235477016374, 0.33036463004366357, 0.33203488378511836, 0.33378432759378013, 0.33562612865812202, 0.33757587924004484, 0.33965220356721926, 0.34187755048263646, 0.34427924048605429, 0.34689086605019581, 0.34975418999721142, 0.35292175771854284, 0.35646055113545594, 0.360457193409637, 0.36502551338920286, 0.37031778952484168, 0.37654188962222807, 0.38398815136043596, 0.39307292112652198, 0.40441171790555869, 0.41894747914430536, 0.43818653710366212, 0.4646576820439603, 0.5028630311093456, 0.56138238601547352, 0.65777991610401465, 0.82951076933874845, 1.1418378988057127, 1.5133132976783059, 1.2852188339656108, 0.767575778591012, 0.5039793611359118, 0.39275850654595978, 0.34268472161424629, 0.31814467223882037, 0.30527545392720834, 0.29818077251508396, 0.2941204850540427, 0.2917238323966822, 0.29026551053857191, 0.28934865623114181, 0.28875804202246652, 0.28839155278538958, 0.28823295436008273, 0.28835294766785358, 0.28893983266843387, 0.29037671512270963, 0.29341162130184645, 0.29953911660850108, 0.31191491501453944, 0.33776375936266723, 0.39550583935315442, 0.53869524137737579, 0.93856100933919795, 1.9152439482898393, 2.2313663966796016, 1.4635947335440003, 0.9989566466359957, 0.77345809887753747, 0.65281736158799952, 0.58118501073931628, 0.53507731289786042, 0.50356152851710201, 0.48103796494685391, 0.46440450083950829, 0.4518312952758346, 0.44218388762555089, 0.43473109098262924, 0.42898782804802094, 0.42462623097230018, 0.42142331954147505, 0.41922934760904984, 0.41794847171574168, 0.41752723914315498], [0.34356969136577709, 0.34436600519460359, 0.34683401310040718, 0.35123396851187383, 0.358088569591823, 0.368369339689186, 0.38391630689887102, 0.40845605478258623, 0.45039611405029961, 0.53190406109882005, 0.72503647258605231, 1.285402047508535, 1.5833383606312406, 0.67213252907835219, 0.4083903640173901, 0.33673437477200763, 0.31248303226592361, 0.30344246918607004, 0.30030506695831632, 0.29976806879572504, 0.30047872588333469, 0.30182415865043016, 0.30350670610909103, 0.30537560681582027, 0.30735373118780396, 0.30940327730151823, 0.31150878710218105, 0.31366840470111107, 0.3158893036006179, 0.31818535620346383, 0.32057610113625684, 0.32308654245025803, 0.325747565791074, 0.32859690365873456, 0.3316806850519628, 0.33505569798209189, 0.3387926014638909, 0.34298047285878119, 0.34773330378275347, 0.35319942411657151, 0.35957544768308264, 0.36712739855698218, 0.37622359134154937, 0.38738741124896592, 0.40138509342286099, 0.41937779347415427, 0.44319780935330605, 0.47587878921731985, 0.52274125022599294, 0.59378691724145471, 0.70942962505596363, 0.9152033328474557, 1.3175361996409016, 2.0881058686938525, 2.649805623459474, 1.7308237090594791, 0.92948880431977121, 0.58499587116444851, 0.43494622011427481, 0.36224242658274991, 0.32355474426449626, 0.30143565331462852, 0.28808725322228562, 0.27969575777117517, 0.2742534217408602, 0.27063814154716487, 0.26819138249355867, 0.26651081650001107, 0.26534236712857429, 0.26452119430647192, 0.26393808190631168, 0.26351963789454763, 0.26321633038930931, 0.2629951603366687, 0.26283521483134775, 0.26272513723555985, 0.26266202062849864, 0.26265155283712394, 0.26270952224926375, 0.26286512787294902, 0.26316705005803315, 0.26369415537962193, 0.26457450149717743, 0.26602004723921491, 0.26839277534631784, 0.2723376693092226, 0.27906877975899386, 0.29103846981941245, 0.31367785072596283, 0.36058021642768034, 0.47185929424151152, 0.79281018892610433, 1.8446328458140659, 2.5504194592951372, 1.3491556367704405, 0.80931156632195156, 0.59655515983821983, 0.49501171215565509, 0.43872666664967314, 0.40407378428647206, 0.38106870684911626, 0.36491700030078184, 0.35308057321722119, 0.34410989190694447, 0.33712559677234871, 0.33156742393311123, 0.32706365964422818, 0.32335916640099738, 0.32027370022390556, 0.31767673917464678, 0.3154717256662124, 0.31358588865719977, 0.31196348734742196, 0.3105612165013838, 0.30934501413843118, 0.30828780085378571, 0.30736785142163087, 0.3065676039335572, 0.30587277714946959, 0.30527170857844155, 0.30475485311620359, 0.30431440022982553, 0.30394397997624489, 0.30363843660686124, 0.30339365443638905, 0.30320642487419763, 0.30307434657883758, 0.30299575296913472, 0.30296966306030859, 0.30297392841891091, 0.3029867328770896, 0.30300810161607789, 0.30303807671856181, 0.30307671734061248, 0.30312409995429396, 0.3031803186629447, 0.3032454855916723, 0.30331973135627432, 0.30340320561446565, 0.30349607770403386, 0.30359853737331283, 0.30371079561031239, 0.30383308557766187, 0.30396566366179628, 0.30410881064577705, 0.30426283301666562, 0.30442806441973919, 0.30460486727360325, 0.3047936345621558, 0.30499479182151834, 0.30520879934264611, 0.3054361546130534, 0.30567739502450142, 0.30593310087724318, 0.30620389871578213, 0.30649046503622601, 0.306793530411195, 0.3071138840851485, 0.30745237910101636, 0.3078099380285006, 0.30818755937548542, 0.30858632477711945, 0.30900740707262847, 0.3094520793983388, 0.30992172544737795, 0.31041785107270442, 0.31094209744171114, 0.31149625598851771, 0.31208228545610234, 0.31270233137608489, 0.31335874840206268, 0.31405412599571697, 0.31479131806748634, 0.31557347730041013, 0.31640409504345829, 0.3172870478575831, 0.31822665204530071, 0.31922772780725894, 0.3202956750669681, 0.32143656351350725, 0.32265724006730856, 0.3239654578241476, 0.32537003164328032, 0.32688102700892302, 0.32850999073771009, 0.33027023470905786, 0.33217718731795648, 0.33424883216220247, 0.33650626012115614, 0.33897437026353994, 0.34168276814100301, 0.34466692881416028, 0.34796971925062753, 0.35164341498251744, 0.35575240624595844, 0.36037688089593301, 0.36561791463885407, 0.37160462677164519, 0.37850442988436295, 0.38653801983241837, 0.39600181283289987, 0.40730241507072734, 0.42101115620636609, 0.43795329233487534, 0.45935959025479428, 0.48713545818526355, 0.52436356105283688, 0.57629880034833336, 0.65247251796881511, 0.77146710358686876, 0.97238124534906101, 1.3410276722761401, 2.0257791640020373, 2.7767965928613427, 2.1933017654770905, 1.2055412966667209, 0.72071431774766892, 0.51097759493373862, 0.41356472376816794, 0.36483457595787649, 0.33937195707766044, 0.32606291004935667, 0.31960654844089181, 0.31728742244993952, 0.31763541342939455, 0.31982262961507124, 0.3233725535251486, 0.32801137048163043, 0.33358819270583073, 0.34003049696722382, 0.34731839464893816, 0.35546935252342476, 0.36452886387534789, 0.37456452700861725, 0.38566200090197045, 0.39792183392902952, 0.41145642514736791, 0.42638649410784352, 0.44283646951003575, 0.46092820327926093, 0.48077241382155622, 0.50245730427630775, 0.52603394243509138, 0.55149829144506257, 0.57877030576394961, 0.6076712909738593, 0.63790174124194543, 0.66902297787177301, 0.70044684068046403, 0.73143803523536555, 0.761133100961223, 0.7885780949473864, 0.8127841127325901, 0.8327962801031763, 0.84776876123465272, 0.85703651924925839, 0.86017450337175205, 0.85703651924930813, 0.84776876123474743, 0.83279628010317253, 0.81278411273259121, 0.7885780949474317, 0.76113310096120146, 0.73143803523536821, 0.70044684068046159, 0.66902297787179588, 0.63790174124194576, 0.60767129097383443, 0.57877030576391764, 0.55149829144508811, 0.52603394243509316, 0.50245730427632296, 0.48077241382156494, 0.46092820327926176, 0.44283646951001593, 0.42638649410786833, 0.41145642514737957, 0.39792183392902697, 0.38566200090198033, 0.37456452700861248, 0.36452886387534739, 0.35546935252342471, 0.34731839464893738, 0.34003049696722409, 0.33358819270582751, 0.32801137048163209, 0.3233725535251552, 0.31982262961507157, 0.31763541342939511, 0.31728742244993896, 0.31960654844089803, 0.32606291004935312, 0.33937195707764417, 0.36483457595788227, 0.41356472376814879, 0.51097759493373618, 0.72071431774751926, 1.2055412966668322, 2.1933017654771305, 2.776796592861098, 2.0257791640015776, 1.3410276722761398, 0.97238124534894688, 0.77146710358699067, 0.65247251796885752, 0.57629880034836578, 0.52436356105288173, 0.48713545818526094, 0.45935959025476236, 0.43795329233486457, 0.42101115620638774, 0.40730241507073012, 0.39600181283289665, 0.3865380198324127, 0.37850442988435695, 0.37160462677163941, 0.36561791463884974, 0.36037688089592718, 0.35575240624595827, 0.35164341498251805, 0.34796971925062858, 0.34466692881416017, 0.34168276814100457, 0.33897437026354038, 0.33650626012115376, 0.33424883216219997, 0.33217718731795914, 0.33027023470905725, 0.32850999073770953, 0.32688102700892452, 0.32537003164328226, 0.32396545782414948, 0.32265724006730795, 0.32143656351350663, 0.32029567506696799, 0.31922772780725694, 0.31822665204530082, 0.31728704785758466, 0.31640409504345673, 0.31557347730040824, 0.31479131806748534, 0.31405412599571714, 0.31335874840206346, 0.31270233137608533, 0.31208228545610145, 0.31149625598851571, 0.31094209744171086, 0.31041785107270453, 0.30992172544737706, 0.30945207939833763, 0.30900740707262753, 0.30858632477712039, 0.30818755937548581, 0.3078099380284986, 0.3074523791010158, 0.3071138840851465, 0.30679353041119434, 0.30649046503622651, 0.3062038987157823, 0.30593310087724235, 0.30567739502450103, 0.30543615461305246, 0.30520879934264578, 0.30499479182152006, 0.30479363456215525, 0.30460486727360497, 0.3044280644197403, 0.30426283301666623, 0.30410881064577655, 0.30396566366179723, 0.30383308557766431, 0.30371079561031183, 0.30359853737331416, 0.30349607770403364, 0.30340320561446604, 0.30331973135627471, 0.30324548559167203, 0.30318031866294431, 0.30312409995429457, 0.30307671734061153, 0.30303807671856209, 0.30300810161607861, 0.30298673287709066, 0.30297392841891108, 0.30296966306030609, 0.30297179549659903, 0.30297819407850501, 0.30298886262686786, 0.30300380751556577, 0.30302303768026029, 0.30304656463067181, 0.30307440246639616, 0.30310656789635282, 0.30314308026188863, 0.30318396156358929, 0.30322923649191086, 0.30327893246167553, 0.30333307965057305, 0.30339171104172008, 0.30345486247045861, 0.30352257267548804, 0.30359488335449325, 0.3036718392244297, 0.30375348808665409, 0.30383988089705327, 0.30393107184146667, 0.30402711841653918, 0.30412808151630749, 0.30423402552480028, 0.30434501841490591, 0.30446113185386431, 0.30458244131569656, 0.30470902620099266, 0.3048409699644048, 0.30497836025031771, 0.30512128903718, 0.30526985279098068, 0.30542415262844302, 0.30558429449052965, 0.30575038932693521, 0.30592255329222667, 0.30610090795445016, 0.30628558051698801, 0.3064767040546128, 0.30667441776469662, 0.30687886723461971, 0.30709020472661619, 0.30730858948121931, 0.30753418804077853, 0.30776717459448044, 0.30800773134657633, 0.30825604890956559, 0.30851232672432055, 0.30877677350930022, 0.30904960774120499, 0.3093310581696801, 0.30962136436887061, 0.30992077732899204, 0.31022956009133174, 0.31054798843048559, 0.31087635158799726, 0.31121495306205782, 0.31156411145831087, 0.31192416140750651, 0.31229545455621294, 0.31267836063758658, 0.31307326862995255, 0.3134805880117858, 0.31390075012276508, 0.31433420964156228, 0.31478144619243609, 0.31524296609399793, 0.31571930426527695, 0.31621102630593351, 0.31671873076970603, 0.31724305165248212, 0.31778466111919673, 0.31834427249690145, 0.31892264356495026, 0.3195205801774213, 0.32013894025767886, 0.32077863821052899, 0.32144064980376502, 0.32212601757840026, 0.32283585685541016, 0.32357136241692808, 0.32433381595149274, 0.32512459436665608, 0.32594517908844434, 0.32679716648592855, 0.32768227958167168, 0.32860238123508795, 0.32955948901721077, 0.33055579203260194, 0.33159366998876649, 0.33267571486675773, 0.33380475561086176, 0.33498388633269399, 0.33621649861877911, 0.33750631864471475, 0.33885744993806149, 0.34027442280285869, 0.34176225162840557, 0.34332650156479699, 0.34497336637051612, 0.34670975964026063, 0.34854342212766798, 0.35048304851620016, 0.35253843780305777, 0.35472067249717426, 0.35704233316463801, 0.35951775657890261, 0.36216334797976485, 0.36499796089444947, 0.36804336187625508, 0.3713248027212665, 0.3748717297271007, 0.3787186690680448, 0.38290634040130589, 0.38748306888513773, 0.39250659109424985, 0.3980463861757973, 0.40418671503701503, 0.41103062515198585, 0.41870528886114372, 0.42736920811412932, 0.43722206969142663, 0.44851842341429721, 0.46158696789649584, 0.47685821130058559, 0.4949048849804355, 0.5165021812193632, 0.54271948345970911, 0.6678519354982948, 0.95702960800317038, 1.7747874993186408, 2.325303016876954, 0.90371638189804704, 0.468224769782006, 0.35137798945250137, 0.31185003636541497, 0.29647961350656427, 0.29015910281947738, 0.28761750038534606, 0.28673444546847854, 0.2865703962632436, 0.28668308774161594, 0.28685899220789002, 0.28699701068172107, 0.28705392267986035, 0.2870170339651843, 0.28688967320164854, 0.28668315477224016, 0.28641219260404593, 0.28609225782978043, 0.28573808279165319, 0.28536286402391065, 0.28497789854404237, 0.28459248768445083, 0.28421400127469371, 0.28384803159074545, 0.28349859060863425, 0.28316832056161001, 0.28285869921034706, 0.28257022912946927, 0.28230260568533166, 0.28205486192725282, 0.28182549085234304, 0.28161254681897241, 0.28141372856594543, 0.28122644655728513, 0.2810478773711827, 0.2808750076956732, 0.28070467025888335, 0.28053357376096899, 0.28035832862428167, 0.28017547016598515, 0.27998148064640149, 0.27977281158212047, 0.27954590776575866, 0.27929723464652489, 0.27902331115856527, 0.27872075082853054, 0.27838631518824419, 0.27801698537577213, 0.27761006066252125, 0.2771632970258735, 0.27667510565554893, 0.27614484185142252, 0.2755732315134557, 0.27496300940181823, 0.27431988766298088, 0.27365404751378875, 0.2729824749012405, 0.27233268688443507, 0.2717488065821268, 0.27130171806171943, 0.27110654430027692, 0.27135377629031648, 0.27236699677464427, 0.27471516696667853, 0.2794439362225169, 0.28858634252976884, 0.30638997435338683, 0.34258796630237115, 0.42226939313902745, 0.61964123585688979, 1.1678654320369564, 2.2837529565424108, 2.1172622347422045, 1.2936386893725755, 0.8790365005093993, 0.68006303417819791, 0.57237595605133129, 0.50749288048659058, 0.46505122358487522, 0.43549155543413781, 0.41387127506993016, 0.39742635201459825, 0.38450967853978557, 0.37408731342399737, 0.36548156563793099, 0.35823179355967749, 0.35201502944111523, 0.34659870458954589, 0.34181142373426038, 0.33752431066484007, 0.33363877446384854, 0.33007830827224505, 0.32678290608197325, 0.32370524349573315, 0.32080810706882867, 0.31806277696952023, 0.31544823061636196, 0.31295118519057191, 0.31056718015927731, 0.30830318524586958, 0.30618273379398436, 0.30425560417188102, 0.30261625080091969, 0.30144014324082186, 0.3010592875210592, 0.30213041776522082, 0.30604419576049674, 0.31604070149604557, 0.34073883663808718, 0.40772680128761035, 0.62915582234241507, 1.425572351981891, 1.5461573192574971, 0.83773804110750605, 0.57692767762441644, 0.47181244166391378, 0.41983341435089583, 0.39030299033006477, 0.37199877124976566, 0.36009032192814933, 0.35224514428816323, 0.3472518208177886, 0.34446613000827125, 0.34356969136577709, 0.34416554195348492, 0.34599465215315717, 0.34918968398560823, 0.35400107936380465, 0.36085207001375036, 0.37044430926716942, 0.38396412769173693, 0.4035072390201872, 0.4330227698076064, 0.48062609302175885, 0.56496456113232696, 0.73484750319176473, 1.1247520474572665, 1.7883433693385291, 1.3551292449493273, 0.69729528481347092, 0.4596861027871828, 0.3718557978810223, 0.33428333144331723, 0.31644912993105651, 0.30749908989213121, 0.30297949527414764, 0.30084485760689328, 0.30006992930030263, 0.30010436497293225, 0.30063618397520497, 0.30148060796785719, 0.30252426493045226, 0.30369560613736624, 0.30494847959320104, 0.30625264226746285, 0.30758809099155215, 0.3089415739747195, 0.31030438854240477, 0.31167095963710856, 0.31303790461311204, 0.31440340808995959, 0.31576679883676184, 0.31712826105166508, 0.31848863690125079, 0.31984929237939247, 0.32121202817094729, 0.32257902343416128, 0.32395280453804903, 0.32533623359226654, 0.32673251357616939, 0.32814520832266686, 0.32957827674868029, 0.33103612169168073, 0.33252365461958422, 0.33404637842225343, 0.33561049155430089, 0.33722301808035093, 0.33889196979391895, 0.34062654869960202, 0.34243740098388153, 0.34433693746641331, 0.3463397408791099, 0.34846308784539093, 0.35072762415728442, 0.35315824745875157, 0.3557852742206194, 0.35864600189209961, 0.36178682876600138, 0.36526617407874296, 0.36915856732821917, 0.37356048034929579, 0.37859881495953945, 0.38444353747279719, 0.39132696841956183, 0.39957408583814646, 0.40965169602343116, 0.42225121642156305, 0.43843405710990013, 0.45989959961623539, 0.48950719617737026, 0.53235744588571632, 0.59817725372194852, 0.70680801544625804, 0.89977183073031297, 1.2424342152376804, 1.6039392324339339, 1.3107562679146276, 0.78503412352160473, 0.52031755144117553, 0.40666887678897634, 0.35468511451449386, 0.32891369606120224, 0.31529431292794241, 0.3077562747331849, 0.30344407195082562, 0.30091361301942904, 0.29939118118761565, 0.29844456158576793, 0.29782778379609481, 0.29740515837481341, 0.29711512189330902, 0.29695737871823008, 0.29699817084950436, 0.29739658009351572, 0.29846492920923184, 0.30079605567475015, 0.30553703628563339, 0.3150135382375448, 0.33427595395628223, 0.37534245456462251, 0.47030278518013663, 0.71564963696962802, 1.3842099977298095, 2.3723371551247276, 1.9662797135794567, 1.2896489396535922, 0.93902090553516604, 0.75904470559626136, 0.65687428011550453, 0.59344657110793464, 0.55128620023398744, 0.52179781862118679, 0.50038302960029168, 0.48440685803349703, 0.47227425425368513, 0.46297723354066062, 0.45585786768285508, 0.45047735164502994, 0.4465404680386747, 0.44385064203922447, 0.44228285615021939, 0.44176768243135073], [0.35476585028859986, 0.35571233532426916, 0.35865682384689773, 0.36394824545932108, 0.37230062172780914, 0.38508006661430039, 0.40498232918041366, 0.43778524257855267, 0.49758283003161718, 0.62567090990846974, 0.97005814427191916, 1.7361825424569837, 1.0182349352990121, 0.50140823283665403, 0.37148576066544614, 0.33089762460118666, 0.31605304936103218, 0.31050093523181771, 0.30885565246269503, 0.30903050422290002, 0.31011507018264561, 0.31167751897639751, 0.31350133232753208, 0.3154749137634163, 0.31754134931441874, 0.31967403784867643, 0.32186429491517354, 0.32411486246072951, 0.32643651217095426, 0.32884637944265938, 0.33136735179892263, 0.33402818330405892, 0.33686419887078989, 0.33991857497035843, 0.34324428072819124, 0.34690686407376076, 0.35098839654213748, 0.355593078586394, 0.36085530296075885, 0.36695145988847544, 0.37411759628480595, 0.38267650264211672, 0.3930804732515365, 0.4059810691135381, 0.42234732445585732, 0.44367498623495161, 0.47237619900004812, 0.5125495822436269, 0.57161066823584206, 0.66402452583356519, 0.82055544655061152, 1.1120080516591304, 1.6927733692845373, 2.5814295049962959, 2.3769210705718975, 1.3072851846125142, 0.74872272274935903, 0.51319082110376379, 0.40506217381806314, 0.35004340374135223, 0.31964329242305367, 0.30176475359140387, 0.29074347553449148, 0.28370184863977682, 0.27907767381735044, 0.27597572802031367, 0.27385970145020488, 0.27239628932007487, 0.27137196740368447, 0.27064651893842756, 0.2701260811956443, 0.26974702023119029, 0.26946605833176318, 0.26925416121618539, 0.26909279646404533, 0.268971792502959, 0.26888840145702575, 0.26884742976893433, 0.2688625311736379, 0.26895903146017375, 0.26917907243849248, 0.26959059930199947, 0.27030313176200488, 0.27149615876784755, 0.27347229529714856, 0.27676193353829986, 0.28234255437078498, 0.29213529301643232, 0.31024373474341049, 0.34645082382177056, 0.42778967989755395, 0.64496785001178547, 1.3540607039499197, 2.7558271411614128, 1.7797959956652836, 0.976699980124903, 0.67472557532434374, 0.54002815500201129, 0.46889733015434254, 0.42656879315805074, 0.39915147566995879, 0.38025334757566842, 0.36659932196891531, 0.35636618557540539, 0.34847029001324548, 0.34223264401099057, 0.33720895747066415, 0.33309780906696884, 0.32968835803896845, 0.32682922219260763, 0.32440923688879225, 0.32234516174701999, 0.32057359751561681, 0.31904553524688262, 0.31772259745101405, 0.31657439400601106, 0.31557662901339167, 0.31470972380662676, 0.31395780132215623, 0.31330792780876926, 0.31274954075041167, 0.31227401361650231, 0.31187432268134635, 0.31154479116836153, 0.31128089294789352, 0.31107910295832764, 0.31093678508873079, 0.3108521108973708, 0.31082400454418035, 0.3108285971248419, 0.31084238402968944, 0.31086539278530761, 0.31089766939625896, 0.31093927853658021, 0.31099030382003995, 0.31105084815141809, 0.31112103416169162, 0.31120100473077583, 0.31129092360222493, 0.3113909760951461, 0.31150136991945621, 0.31162233610168999, 0.3117541300295158, 0.31189703262455559, 0.31205135165422826, 0.31221742319507945, 0.31239561326163945, 0.31258631961688726, 0.31278997378259521, 0.3130070432703233, 0.31323803405683698, 0.31348349333089442, 0.31374401254229672, 0.31402023078847002, 0.31431283857892789, 0.31462258202395194, 0.31495026750070299, 0.3152967668580775, 0.31566302323104295, 0.31605005754634241, 0.31645897581452559, 0.31689097731876986, 0.31734736382931134, 0.31782954999418261, 0.31833907508310155, 0.31887761629261152, 0.31944700385832969, 0.3200492382655874, 0.32068650990506326, 0.32136122158712727, 0.32207601441092948, 0.3228337975852954, 0.32363778292328382, 0.32449152488702715, 0.32539896725261364, 0.32636449770682197, 0.32739301199292292, 0.32848998961002834, 0.32966158356508102, 0.33091472731192673, 0.33225726283416634, 0.33369809490022301, 0.33524737792672266, 0.33691674375053832, 0.33871958109992062, 0.34067138091202792, 0.34279016621379194, 0.34509703156842003, 0.34761682583167197, 0.35037902426539513, 0.35341885359286301, 0.35677875892189548, 0.36051033862393711, 0.364676928627373, 0.36935710151891527, 0.374649475492213, 0.38067943257009884, 0.38760867504511187, 0.39564909358041284, 0.40508334492179765, 0.41629615486495181, 0.42982328911616907, 0.44643063240566971, 0.467246583924533, 0.49399307952099147, 0.52940835898491378, 0.57806413620007691, 0.64804645523393889, 0.75465459045143124, 0.92905349176650542, 1.2384941476729958, 1.815844818122063, 2.6707446661815415, 2.6376462296746936, 1.5593155297343075, 0.88884352040533576, 0.59380484393429711, 0.45940316168736278, 0.39326586982378153, 0.35887397117715109, 0.34065396780536206, 0.33135417585473864, 0.32733274410698432, 0.32664778745453571, 0.32821718183858672, 0.33142138365498175, 0.33590388751394584, 0.34146576522732108, 0.34800757969739265, 0.35549634346288844, 0.36394627973557331, 0.3734074501269754, 0.38395896061189899, 0.39570481705412042, 0.40877120516809484, 0.42330431970238036, 0.43946801447081763, 0.45744056760820129, 0.47740980217657403, 0.49956570860364069, 0.52408962584394359, 0.55113901406521282, 0.58082698117260689, 0.61319612390344225, 0.64818703792687937, 0.68560313351912006, 0.72507514486487468, 0.76603070836220422, 0.80767608257424617, 0.84899770421371346, 0.88879000881107817, 0.92571238754685592, 0.95837275934784716, 0.98542944632483853, 1.0056987766744583, 1.018254542158775, 1.022507223145539, 1.0182545421588476, 1.0056987766745891, 0.98542944632482954, 0.9583727593478526, 0.92571238754691765, 0.8887900088110493, 0.84899770421371867, 0.80767608257424495, 0.76603070836223386, 0.72507514486487479, 0.68560313351908753, 0.64818703792683796, 0.613196123903475, 0.58082698117260823, 0.55113901406523258, 0.52408962584395424, 0.49956570860364147, 0.47740980217655005, 0.45744056760823182, 0.43946801447083117, 0.42330431970237786, 0.408771205168106, 0.39570481705411464, 0.38395896061189838, 0.37340745012697546, 0.3639462797355727, 0.35549634346288866, 0.34800757969738888, 0.34146576522732319, 0.33590388751395284, 0.3314213836549818, 0.32821718183858767, 0.32664778745453615, 0.32733274410698959, 0.33135417585473598, 0.3406539678053489, 0.3588739711771548, 0.39326586982376777, 0.45940316168736051, 0.59380484393420052, 0.88884352040541981, 1.5593155297344019, 2.6376462296746452, 2.6707446661809753, 1.8158448181220086, 1.2384941476728044, 0.92905349176668583, 0.75465459045149297, 0.64804645523398419, 0.57806413620013719, 0.52940835898490923, 0.49399307952095145, 0.4672465839245194, 0.4464306324056963, 0.42982328911617218, 0.41629615486494831, 0.40508334492179054, 0.39564909358040556, 0.38760867504510549, 0.38067943257009407, 0.37464947549220645, 0.36935710151891543, 0.36467692862737322, 0.36051033862393811, 0.35677875892189526, 0.35341885359286473, 0.35037902426539547, 0.34761682583166953, 0.34509703156841698, 0.34279016621379449, 0.34067138091202726, 0.33871958109992001, 0.33691674375054015, 0.33524737792672465, 0.33369809490022523, 0.33225726283416585, 0.33091472731192584, 0.32966158356508113, 0.32848998961002657, 0.32739301199292303, 0.32636449770682335, 0.32539896725261214, 0.32449152488702504, 0.32363778292328255, 0.3228337975852954, 0.32207601441093031, 0.3213612215871276, 0.32068650990506231, 0.32004923826558535, 0.31944700385832919, 0.31887761629261147, 0.31833907508310066, 0.31782954999418123, 0.3173473638293105, 0.31689097731877075, 0.31645897581452603, 0.31605005754634036, 0.31566302323104245, 0.31529676685807556, 0.31495026750070204, 0.31462258202395232, 0.31431283857892806, 0.31402023078846908, 0.31374401254229628, 0.31348349333089348, 0.31323803405683659, 0.31300704327032519, 0.31278997378259471, 0.31258631961688915, 0.31239561326164039, 0.31221742319508006, 0.31205135165422765, 0.31189703262455659, 0.31175413002951846, 0.31162233610168943, 0.31150136991945765, 0.31139097609514582, 0.31129092360222543, 0.31120100473077628, 0.31112103416169135, 0.31105084815141787, 0.31099030382004073, 0.31093927853657916, 0.31089766939625929, 0.31086539278530845, 0.31084238402969055, 0.31082859712484212, 0.31082400454417813, 0.31082630056944205, 0.31083319004358095, 0.3108446771636213, 0.31086076893116743, 0.31088147516228548, 0.31090680850137142, 0.31093678443902723, 0.31097142133403832, 0.31101074043948912, 0.31105476593307602, 0.31110352495174248, 0.3111570476306989, 0.31121536714697734, 0.31127851976759763, 0.3113465449025436, 0.31141948516266338, 0.31149738642268904, 0.31158029788955183, 0.31166827217622484, 0.31176136538126414, 0.31185963717439313, 0.31196315088829668, 0.31207197361697275, 0.31218617632097129, 0.31230583393982092, 0.31243102551205776, 0.31256183430322587, 0.3126983479423418, 0.31284065856723153, 0.31298886297929812, 0.31314306280828008, 0.31330336468758213, 0.31346988044084378, 0.31364272728044984, 0.31382202801878273, 0.31400791129299244, 0.3142005118042569, 0.31439997057245839, 0.31460643520739734, 0.31482006019768044, 0.3150410072185269, 0.31526944545995322, 0.31550555197673363, 0.31574951206187679, 0.31600151964533391, 0.31626177771996583, 0.31653049879686285, 0.31680790539238773, 0.31709423054951796, 0.3173897183963027, 0.31769462474456439, 0.31800921773221918, 0.31833377851301276, 0.31866860199779368, 0.31901399765190802, 0.31937029035375036, 0.31973782132010187, 0.32011694910436789, 0.3205080506746707, 0.32091152257934957, 0.32132778220836955, 0.32175726916008446, 0.32220044672383391, 0.32265780349018292, 0.32312985510185849, 0.32361714616016535, 0.32412025230330294, 0.32463978247517244, 0.3251763814054463, 0.32573073232444577, 0.32630355993928045, 0.32689563370124258, 0.32750777139840109, 0.32814084311189107, 0.32879577557969875, 0.32947355701779468, 0.33017524245554797, 0.33090195965045555, 0.33165491565680805, 0.33243540413387956, 0.33324481349224111, 0.33408463599186583, 0.33495647792346678, 0.33586207102551602, 0.33680328531391918, 0.33778214353074248, 0.33880083745294581, 0.33986174634353911, 0.3409674578769164, 0.34212079192943795, 0.3433248276975564, 0.34458293469188589, 0.3458988082599545, 0.34727651041730995, 0.34872051692178024, 0.35023577171589187, 0.35182775009720052, 0.35350253226639566, 0.35526688926445604, 0.35712838376189099, 0.35909548873065789, 0.36117772774739165, 0.36338584158860121, 0.36573198694581072, 0.36822997459068074, 0.37089555626694709, 0.37374677212668989, 0.37680437386889881, 0.3800923431649445, 0.38363853087030209, 0.3874754504942482, 0.39164127024491024, 0.39618106286726523, 0.40114839317562179, 0.40660735221380967, 0.41263518820648382, 0.41932574375393483, 0.42679399512384569, 0.43518211719985234, 0.44466768927806344, 0.45547494911260611, 0.46789045586107458, 0.48228523841533771, 0.49914665777789619, 0.51912510336302908, 0.54310380957639426, 0.57230548275981552, 0.60845880273223762, 0.7903754688694612, 1.250055084613811, 2.4003292475177003, 1.7113960643325121, 0.68227544941496943, 0.42071248695743585, 0.3420948517302847, 0.31341386788090142, 0.30182369238237183, 0.29701725025859005, 0.29513917697797859, 0.29456047567698085, 0.2945340730166755, 0.29470054079748609, 0.294884953528466, 0.29500559394832487, 0.29502974967325379, 0.2949509053574258, 0.29477632867695258, 0.29452002906292091, 0.29419866233409853, 0.2938291403607578, 0.29342727276540209, 0.29300705248947906, 0.29258034770589769, 0.29215684746972792, 0.29174415986477314, 0.2913479946317753, 0.29097238489491051, 0.29061991848077312, 0.29029196055858769, 0.28998885721026202, 0.28971011494262572, 0.28945455473062481, 0.28922044142853309, 0.28900559069158605, 0.28880745620749743, 0.28862320026539529, 0.28844975064857847, 0.28828384664014911, 0.28812207665500328, 0.2879609097115966, 0.28779672266861644, 0.28762582490291444, 0.2874444819178586, 0.28724893926949374, 0.28703544820954169, 0.28680029460806372, 0.28653983308978209, 0.28625052897831282, 0.28592901171463941, 0.28557214508727863, 0.28517712217257485, 0.28474159679206157, 0.28426386928405867, 0.28374315365481645, 0.28317996770650478, 0.28257671089583647, 0.28193853226529791, 0.28127465307747668, 0.28060041439275191, 0.27994050349065053, 0.27933414156003999, 0.27884362156555448, 0.27856874527666936, 0.27867201860375695, 0.27942428131010127, 0.281291037155117, 0.28510450844182428, 0.29242863365121818, 0.30639424582275387, 0.3337948101867006, 0.39096534490862817, 0.52246337862850412, 0.86495215656647206, 1.7591874878849982, 2.5333451922898154, 1.7358435442578335, 1.1032603006465895, 0.80294002894263716, 0.64914172510835244, 0.56082494853379627, 0.50518389708336353, 0.46755116077708148, 0.4406621377562176, 0.42059645026509829, 0.40508551130845805, 0.39273958510066526, 0.38266627807932063, 0.37426951546180837, 0.36713761406363282, 0.36097797362669737, 0.35557741123618819, 0.35077722644938197, 0.3464570581376612, 0.34252417275382713, 0.3389062196434196, 0.33554627594844083, 0.33239946669242204, 0.32943073374662574, 0.32661352398094579, 0.32392932529511514, 0.32136814375078882, 0.31893023973512424, 0.31662981711777444, 0.31450207110498146, 0.31261645993901371, 0.31110226326666462, 0.31019998605755295, 0.31037114039022562, 0.31255155743601282, 0.3187965994934186, 0.33414893813283053, 0.37303752696774445, 0.48649855365431155, 0.89764931786766855, 1.8182606324199453, 1.1674793941586945, 0.69840453865327201, 0.52872298194489487, 0.45320083443566322, 0.41324135731188122, 0.38962740196408902, 0.37475461348174643, 0.36516955815516572, 0.35915658755375768, 0.35583144483490958, 0.35476585028859986, 0.35547389357165066, 0.35765332432650043, 0.36148180490846071, 0.36729907708008069, 0.37569067180407245, 0.38765387791772432, 0.40493576329257652, 0.4307671429646352, 0.47160432834655641, 0.54174347483575447, 0.67709630384221287, 0.97759380354622161, 1.6150507652749977, 1.6470819440367646, 0.8563941307726477, 0.52133285066166812, 0.40197770254488485, 0.352895839029428, 0.33016896668292006, 0.31888410838236286, 0.31315692405833911, 0.31036520396546891, 0.30922464692322921, 0.30905800101624115, 0.30948658339453045, 0.3102884690724631, 0.31132858108553352, 0.3125221700423384, 0.3138147835625974, 0.31517081506970268, 0.31656671992338631, 0.31798687070194109, 0.31942095611458587, 0.3208623101885611, 0.32230681729643657, 0.32375218239156178, 0.32519743812573332, 0.32664260892709468, 0.32808848129453244, 0.32953644756189471, 0.33098840172999777, 0.33244667327213345, 0.33391398963530933, 0.33539346141925647, 0.33688858649677766, 0.33840327101068463, 0.33994186648626579, 0.34150922340274109, 0.34311076259828649, 0.34475256694619527, 0.34644149693689924, 0.34818533524137457, 0.34999296715356959, 0.35187460619027849, 0.35384207731598394, 0.35590917461072646, 0.35809211622935289, 0.3604101279815633, 0.36288619896137175, 0.36554807017031821, 0.36842954282891671, 0.37157223155253988, 0.37502794610315765, 0.37886197618913847, 0.38315769748499312, 0.38802314982142733, 0.39360062516483779, 0.40008096334766896, 0.40772541634853987, 0.41690006057921469, 0.4281317459263515, 0.44220248449600641, 0.46031555325879947, 0.48440223075756755, 0.51772000605871582, 0.56609110169654042, 0.64062088378431259, 0.76383933192066766, 0.98168636241669727, 1.3564114332784902, 1.6937735352227588, 1.3306998973708686, 0.80118934767036998, 0.53692643440510524, 0.42132277003761925, 0.36753405312162524, 0.34052901333695657, 0.32613277714586286, 0.31812528774560006, 0.31354283035052466, 0.3108700975890587, 0.30928639730736202, 0.30832679049079814, 0.30771981536129067, 0.30730609901581923, 0.30699691710917859, 0.30675453376888967, 0.30658664456178975, 0.30655311921762907, 0.30678815402715265, 0.3075478017401716, 0.30930625646535104, 0.31295504318935657, 0.32023713614808164, 0.33476358231991526, 0.36461736228057795, 0.42976509636714588, 0.58547501523869339, 0.99509405092533265, 1.9466357829232619, 2.4430442775842884, 1.7285457220517879, 1.1893653808982936, 0.91180945899257237, 0.76079727058837998, 0.67072616293783371, 0.61274236321969855, 0.57318471591193365, 0.54500914341942508, 0.5243052531111736, 0.50876783771405498, 0.49697177846700147, 0.4880036057977839, 0.48126310197504846, 0.47635131444892853, 0.47300512286500718, 0.4710583806758466, 0.47041925921095007], [0.36678336182025872, 0.36792271788850012, 0.37148333521019911, 0.37794403523381498, 0.38830684812166411, 0.40455683226006478, 0.43081038329149807, 0.47652051708794391, 0.56704191374696267, 0.7858194212547982, 1.4059574969252762, 1.5176376496451316, 0.66347755366251904, 0.42354842868764653, 0.35528313115204635, 0.33142035362340133, 0.32231175545675961, 0.31908010257871233, 0.31849361574728779, 0.31920130856489076, 0.32058021182186325, 0.32232281319814615, 0.32427087922049547, 0.32634210478922121, 0.32849533233016737, 0.33071312459941044, 0.33299268960555845, 0.33534107759382781, 0.33777270227185818, 0.34030822343301553, 0.34297431261810002, 0.3458040802481806, 0.34883809488301715, 0.35212603349497734, 0.35572910049999396, 0.35972346865121219, 0.36420515441856033, 0.36929698333015021, 0.37515869166628574, 0.38200186529461277, 0.39011255024666314, 0.39988640362049538, 0.41188504202571163, 0.42692960289368448, 0.44626251266605077, 0.47184061358276203, 0.5068961171305173, 0.55708059269696697, 0.63297515692800321, 0.75605508542378586, 0.9738330240926093, 1.3960447434358787, 2.1976724422455387, 2.8042567539457739, 1.8674577232643794, 1.0055547994466683, 0.62906038698475086, 0.46453123833199678, 0.38480628028123981, 0.34241116706429325, 0.3181906596191757, 0.30358325787634405, 0.29440420052628907, 0.28845215965003107, 0.28449780314127365, 0.28182015613466471, 0.2799789423826064, 0.27869612403725147, 0.2777911622505353, 0.27714413378261615, 0.27667396851750342, 0.27632523650973417, 0.27605995646427561, 0.27585247073450403, 0.27568628268700479, 0.27555223718438054, 0.27544772396720912, 0.27537679594520248, 0.27535128472197895, 0.27539322282522577, 0.2755392245973412, 0.27584807327934069, 0.27641388850309384, 0.2773895138189601, 0.27902958415915452, 0.28177363394364779, 0.2864160471716975, 0.29447933978169555, 0.30911035397096026, 0.33748847823924505, 0.39830451121346544, 0.54963961723750443, 1.012200817616788, 2.3967829565693193, 2.3550090381512945, 1.2221855259854451, 0.78018461254728833, 0.59674440753284541, 0.50511298312589581, 0.45266509555628254, 0.41962554775985295, 0.39731627531501457, 0.38144883881314096, 0.36970205076444979, 0.3607267395246313, 0.35369270051062274, 0.34806474672449406, 0.34348429851125956, 0.33970317722669757, 0.33654480318884217, 0.33388052281089442, 0.33161465695687997, 0.32967476850941052, 0.32800515744227987, 0.32656241033477906, 0.32531229172919179, 0.32422753237452007, 0.32328622959426373, 0.32247067346250918, 0.3217664744342778, 0.32116190793331684, 0.32064741755816334, 0.320215236057597, 0.31985909513083233, 0.31957400335174868, 0.31935607732773297, 0.31920241538016558, 0.31911100610415649, 0.31908066648856026, 0.31908562108834748, 0.31910049492896486, 0.31912531817662249, 0.31916014125012065, 0.31920503503479358, 0.31926009118448984, 0.31932542251416812, 0.31940116348638908, 0.31948747079586348, 0.31958452405707316, 0.31969252660096337, 0.31981170638769557, 0.31994231704369325, 0.32008463903230822, 0.32023898096907621, 0.32040568109384265, 0.32058510891403047, 0.32077766703516908, 0.32098379319714132, 0.32120396253715966, 0.32143869010338771, 0.32168853364659572, 0.32195409672096342, 0.32223603212972912, 0.32253504575650743, 0.32285190082905435, 0.32318742266927358, 0.32354250399135626, 0.3239181108194773, 0.3243152891076021, 0.32473517215714554, 0.32517898894371999, 0.3256480734826257, 0.32614387538460271, 0.32666797177946083, 0.3272220808164969, 0.32780807698809289, 0.3284280085682893, 0.32908411751291228, 0.32977886223470187, 0.3305149437483067, 0.33129533578011339, 0.33212331956117946, 0.33300252417430087, 0.33393697351638696, 0.33493114117543721, 0.33599001482096696, 0.33711917208618447, 0.33832487040338538, 0.33961415387378069, 0.34099498105274245, 0.34247637857145974, 0.34406862687841799, 0.34578348618321714, 0.34763447308133255, 0.34963720155816175, 0.35180980643886767, 0.35417347333707982, 0.35675310744930244, 0.35957818516592405, 0.36268384896449757, 0.36611232977041469, 0.3699148155712314, 0.37415393633231592, 0.37890711248564307, 0.38427113273474561, 0.39036851229994463, 0.39735647915385569, 0.4054399211703888, 0.41489044291783367, 0.42607509222996132, 0.43950083810036095, 0.45588554966378747, 0.47627522074702533, 0.50224530612229834, 0.53626240634116351, 0.58236835305157042, 0.64755212434436893, 0.74468395806226284, 0.89919250973586884, 1.1646310336583174, 1.6517992438828935, 2.4729195903461343, 2.930139302288008, 1.9883111041366524, 1.111904081545561, 0.70205680338329113, 0.51749151218843159, 0.42820864010627396, 0.38218295902419652, 0.35766614907216043, 0.34476001141988188, 0.33859117416038537, 0.33660144223042232, 0.33738114587725482, 0.34012828481395985, 0.34438137671855479, 0.34988032994910084, 0.35649082132431503, 0.36416183946806369, 0.37290135503347976, 0.38276230271454592, 0.39383462609999892, 0.40624095696229728, 0.42013444299016584, 0.43569771132933544, 0.45314215766199534, 0.4727067792892139, 0.49465567520836035, 0.51927314690924609, 0.54685508236425817, 0.57769504504051461, 0.61206331423659233, 0.65017718975906391, 0.69216141228022343, 0.73799883928358512, 0.78747379496478487, 0.84011380047152906, 0.89513923003119356, 0.95143367465155093, 1.0075486467984476, 1.0617529445647, 1.1121289140000798, 1.1567067337845585, 1.1936177674103834, 1.2212435575542733, 1.2383403254968666, 1.2441277777156932, 1.2383403254969629, 1.2212435575544498, 1.1936177674103761, 1.1567067337845642, 1.1121289140001678, 1.0617529445646643, 1.007548646798454, 0.95143367465154904, 0.89513923003123308, 0.84011380047152928, 0.78747379496474368, 0.73799883928353094, 0.69216141228026729, 0.65017718975906569, 0.61206331423661708, 0.57769504504052749, 0.5468550823642605, 0.51927314690921667, 0.49465567520839826, 0.47270677928923099, 0.45314215766199223, 0.43569771132934904, 0.4201344429901594, 0.40624095696229651, 0.39383462609999886, 0.38276230271454498, 0.37290135503347938, 0.36416183946805913, 0.35649082132431742, 0.34988032994910917, 0.34438137671855429, 0.34012828481396096, 0.33738114587725654, 0.33660144223042721, 0.33859117416038342, 0.34476001141987067, 0.35766614907216338, 0.38218295902418759, 0.42820864010626919, 0.51749151218836975, 0.70205680338333698, 1.111904081545616, 1.9883111041368149, 2.9301393022879534, 2.4729195903460006, 1.651799243882595, 1.1646310336586077, 0.89919250973596021, 0.74468395806232701, 0.64755212434444853, 0.5823683530515642, 0.53626240634111255, 0.50224530612228213, 0.47627522074705836, 0.45588554966379147, 0.43950083810035684, 0.42607509222995221, 0.41489044291782562, 0.40543992117038147, 0.39735647915384981, 0.39036851229993724, 0.38427113273474539, 0.37890711248564374, 0.37415393633231697, 0.36991481557123135, 0.36611232977041658, 0.36268384896449807, 0.35957818516592133, 0.35675310744929933, 0.35417347333708288, 0.35180980643886689, 0.34963720155816119, 0.34763447308133427, 0.34578348618321936, 0.34406862687842027, 0.34247637857145907, 0.34099498105274145, 0.33961415387378052, 0.33832487040338322, 0.33711917208618458, 0.33599001482096869, 0.33493114117543565, 0.33393697351638468, 0.33300252417429954, 0.3321233195611798, 0.33129533578011416, 0.33051494374830714, 0.32977886223470099, 0.32908411751291011, 0.32842800856828885, 0.32780807698809283, 0.32722208081649617, 0.32666797177945944, 0.32614387538460177, 0.32564807348262664, 0.32517898894372027, 0.32473517215714337, 0.32431528910760143, 0.32391811081947508, 0.32354250399135515, 0.32318742266927392, 0.32285190082905446, 0.3225350457565066, 0.32223603212972851, 0.32195409672096237, 0.32168853364659533, 0.32143869010338966, 0.3212039625371591, 0.32098379319714326, 0.32077766703517024, 0.32058510891403125, 0.32040568109384204, 0.32023898096907738, 0.32008463903231094, 0.31994231704369275, 0.31981170638769713, 0.31969252660096315, 0.31958452405707344, 0.31948747079586376, 0.31940116348638892, 0.31932542251416779, 0.31926009118449067, 0.31920503503479253, 0.31916014125012115, 0.31912531817662326, 0.31910049492896608, 0.31908562108834754, 0.31908066648855782, 0.31908314349862021, 0.31909057606891428, 0.31910296882201161, 0.3191203294696317, 0.31914266882384412, 0.31917000081278474, 0.31920234250092067, 0.31923971411396385, 0.31928213906848157, 0.31932964400627306, 0.31938225883365651, 0.31944001676573919, 0.3195029543758463, 0.31957111165020097, 0.31964453204807997, 0.31972326256758943, 0.31980735381727671, 0.31989686009379736, 0.31999183946589477, 0.3200923538649092, 0.32019846918220252, 0.32031025537370827, 0.3204277865720096, 0.32055114120633083, 0.32068040213079746, 0.32081565676145396, 0.32095699722247245, 0.32110452050212873, 0.32125832861903492, 0.32141852879928073, 0.32158523366514752, 0.32175856143608039, 0.32193863614270879, 0.32212558785474749, 0.32231955292372189, 0.32252067424144615, 0.3227291015153998, 0.32294499156211121, 0.32316850861987462, 0.32339982468215689, 0.32363911985318206, 0.32388658272742277, 0.3241424107946847, 0.32440681087284884, 0.32467999957033733, 0.3249622037807251, 0.32525366121200849, 0.32555462095338983, 0.32586534408265627, 0.32618610431756528, 0.3265171887149893, 0.32685889842190702, 0.32721154948282338, 0.32757547370860851, 0.32795101961230905, 0.32833855341804613, 0.32873846014983343, 0.32915114480776747, 0.32957703364005331, 0.33001657552009156, 0.33047024343901904, 0.33093853612526292, 0.33142197980396709, 0.3319211301107895, 0.33243657417613953, 0.33296893289807328, 0.33351886342412662, 0.3340870618650823, 0.33467426626642549, 0.3352812598667172, 0.33590887467582381, 0.33655799541039322, 0.33722956382900365, 0.33792458351521332, 0.33864412516348219, 0.33938933243071973, 0.34016142842526365, 0.34096172291555588, 0.3417916203531266, 0.34265262881871877, 0.34354637001727467, 0.34447459046714468, 0.34543917405212571, 0.34644215613247276, 0.34748573944336808, 0.34857231204817729, 0.34970446765971175, 0.35088502869793792, 0.35211707251860208, 0.35340396132692703, 0.35474937638669946, 0.3561573572518334, 0.35763234688970391, 0.35917924373941179, 0.36080346196177404, 0.36251100140124282, 0.36430852910682215, 0.36620347466562364, 0.36820414211219277, 0.37031984181786642, 0.37256104657547245, 0.37493957712797799, 0.37746882371226903, 0.38016401189514004, 0.38304252319206, 0.38612428385299519, 0.38943223901064261, 0.3929929344455077, 0.39683723499441503, 0.40100121777482184, 0.40552729086423556, 0.41046560523720543, 0.41587585164031604, 0.42182956767688728, 0.42841312819168104, 0.4357316609805304, 0.44391423056288482, 0.45312078200998734, 0.46355156138804243, 0.47546007273569812, 0.48917116549821493, 0.50510669184752732, 0.52382253722620442, 0.54606306996744258, 0.572842812997294, 0.60557154521436907, 0.64625010174001907, 0.69778330948699441, 0.97327632478383674, 1.7177055387059028, 2.6555375615412871, 1.174267156736303, 0.55747425027543263, 0.39291550162306293, 0.33818823753480254, 0.31700077722049791, 0.3082092894382415, 0.30457920709005953, 0.30323387301183602, 0.30290369255566119, 0.30298855365287874, 0.3031945485273983, 0.30337828979876158, 0.30347444223051212, 0.3034595252047525, 0.30333269253034462, 0.30310499020177878, 0.30279311857918956, 0.30241573542748651, 0.3019912723378026, 0.30153669228360436, 0.30106684801763467, 0.30059422622079873, 0.30012893490655057, 0.2996788370929373, 0.29924976433928702, 0.29884576530653395, 0.29846936004400176, 0.29812178191533478, 0.29780319703241082, 0.29751289655356039, 0.29724946083529979, 0.29701089669754682, 0.29679475036107278, 0.29659819924592473, 0.2964181260081053, 0.29625117810503437, 0.29609381593557094, 0.29594235227809351, 0.29579298540534821, 0.29564182792388166, 0.29548493309628082, 0.29531832017721182, 0.29513800015187741, 0.29494000323379954, 0.29472040959332529, 0.29447538509901094, 0.29420122443444829, 0.29389440491221958, 0.29355165580912979, 0.29317005034591387, 0.29274713092478399, 0.29228108354653104, 0.29177098546681945, 0.29121716278065746, 0.29062171452551994, 0.28998929181374933, 0.28932827272468514, 0.28865256100208897, 0.28798438616003186, 0.28735874568950082, 0.28683060680229105, 0.28648687826866354, 0.28646690003231678, 0.28699872425249973, 0.28846597657735856, 0.29153703278634879, 0.29742904674686743, 0.30848542082097025, 0.32954681824734355, 0.37154580643152546, 0.46208830630763809, 0.68015370530724306, 1.2594854482222551, 2.3931581365814458, 2.3083823795064311, 1.4486646745392457, 0.98328610470331279, 0.75507709321948902, 0.63078897047185267, 0.55580316908364935, 0.50677762145607308, 0.4726756887186907, 0.44777358505590725, 0.42886666680054097, 0.41404481738788007, 0.40210931839949215, 0.39227490671392484, 0.38400820099304528, 0.37693553803253599, 0.37078808193673646, 0.36536789736433317, 0.36052630127066448, 0.35614967007687787, 0.35214992638868547, 0.34845806001528473, 0.34501968816410561, 0.34179205115196171, 0.33874209199757793, 0.3358454507788417, 0.33308636669168334, 0.33045866994268225, 0.32796832950038068, 0.32563852603696597, 0.32351920659190925, 0.3217051585301467, 0.32037132578420402, 0.31984541430975721, 0.32076755229226256, 0.32447291306353304, 0.33401551067662272, 0.3573307124587492, 0.41903232321801098, 0.61536764798773325, 1.3288216432110485, 1.6720994093598631, 0.91311304625181877, 0.61546648834927886, 0.49840045072483447, 0.44184960195999123, 0.41039694104603947, 0.39137442388470162, 0.37944311814338322, 0.37208957548646687, 0.36806624886551409, 0.36678336182025872, 0.36763543503826812, 0.37026681209580442, 0.37492080248315063, 0.38206991734914852, 0.39254791631927094, 0.40782172863348592, 0.43057358066937201, 0.46604672106992762, 0.52549163402998134, 0.63610265030783231, 0.87207487088517499, 1.4100474438433876, 1.8335261332787698, 1.0569747458498679, 0.598720247516349, 0.4377991886785883, 0.37415367000277083, 0.34545718490032273, 0.33139506121046131, 0.32425450915507703, 0.32070042641046526, 0.31913647788764588, 0.31873554877564497, 0.31904136535242067, 0.31978928040793858, 0.32081946536076689, 0.32203221139092281, 0.32336370291891348, 0.32477230325184209, 0.32623049597100873, 0.32771999445232503, 0.3292286896926781, 0.33074869851568328, 0.33227508900621738, 0.33380503336818595, 0.33533723687874062, 0.33687154914880885, 0.33840869838493715, 0.33995011050937118, 0.3414977882759514, 0.34305423403987978, 0.34462240543491818, 0.34620569698586695, 0.34780794331714582, 0.34943344154039074, 0.35108699189808412, 0.35277395700059005, 0.35450034116672369, 0.35627289258393435, 0.35809923235854152, 0.35998801615699194, 0.36194913619849955, 0.36399397405343936, 0.3661357183105633, 0.36838976610462881, 0.37077423433312129, 0.37331061601638427, 0.37602463100318179, 0.37894734014932696, 0.38211662142685421, 0.38557915031163248, 0.3893930936527607, 0.39363183004457392, 0.39838917435120058, 0.40378685115463997, 0.40998540637639319, 0.41720050674117848, 0.4257279182445598, 0.43598290333135781, 0.44856441783290069, 0.46436366331664353, 0.48475554362246909, 0.51195290733458798, 0.54969813341501184, 0.60469325152131248, 0.68971635986526092, 0.83048317755707268, 1.0775605903456682, 1.4847801207296281, 1.7791791486694712, 1.3437126494874758, 0.81533708576622743, 0.55335281470708797, 0.43642236835153497, 0.38101259299393514, 0.35280883376304661, 0.33762577711676234, 0.32912936938539722, 0.3242594807132696, 0.32143347167356828, 0.31978523699805234, 0.31881855886326044, 0.31823898474828627, 0.31786810957230871, 0.31759847425935078, 0.31737000093729312, 0.31715913960295022, 0.31697708680712422, 0.31687673307834618, 0.31697116902839506, 0.3174713287384518, 0.31875959716318569, 0.32153670665719875, 0.32712870418545653, 0.33816995987005793, 0.36024593854809445, 0.40622754813137602, 0.50891178220055389, 0.76020132167142729, 1.3989953094954692, 2.4229713574437213, 2.2892509698696517, 1.5722031174121969, 1.1394076993931954, 0.90838847054518046, 0.77597952234529666, 0.69372106851618354, 0.63918133088798434, 0.60119417781681983, 0.57376482826880404, 0.55346000597392364, 0.53820815012866741, 0.52670799922980416, 0.51811866514054272, 0.51188876235613023, 0.50765852746988438, 0.50520261574245218, 0.5043971525299985], [0.37972298382114045, 0.38111518107186937, 0.38549019553980834, 0.3935235429523638, 0.40666795832525526, 0.42792623454626011, 0.4639161002122465, 0.53118092740214162, 0.67937903802354482, 1.0847525418373201, 1.7850552785470699, 0.94145840504220035, 0.50397970640893242, 0.38838964972425355, 0.35048980828024812, 0.33617750443632299, 0.33070527391211929, 0.32905873537321667, 0.32923839063379168, 0.33035118818102915, 0.33196487666392083, 0.33385873933284138, 0.33591706184161224, 0.3380798302939223, 0.34031844935831268, 0.34262321487988956, 0.3449966677465649, 0.34745007304577241, 0.35000167412210098, 0.35267604553416998, 0.35550421488786482, 0.3585244178908244, 0.36178347730463184, 0.36533889900363453, 0.36926188595126014, 0.3736416097894722, 0.37859128307171613, 0.38425689465252372, 0.39082999573904309, 0.39856681812461503, 0.40781758132765367, 0.41907272219570585, 0.43303824595487328, 0.45076324947941354, 0.47386531423108991, 0.50494946359580428, 0.54843395603732059, 0.61229243293550528, 0.71202125900459379, 0.88038746007879531, 1.1920495046033432, 1.8064765079899825, 2.7328003053380243, 2.5287463576976705, 1.4049439481328685, 0.8047605364275443, 0.54922939631985856, 0.4314717886630754, 0.37145044423152757, 0.33825442496513952, 0.31871766538087748, 0.3066656488404933, 0.29895899448507851, 0.29389263102260743, 0.29048919841611848, 0.28816304381797886, 0.28655006916597087, 0.28541685765412866, 0.28460989768400374, 0.28402610018686247, 0.28359511634121187, 0.28326845004519818, 0.2830126268091212, 0.28280487719186187, 0.28263045228888717, 0.28248107148525997, 0.28235424305582546, 0.28225337187127364, 0.28218872620827856, 0.28217952425539244, 0.28225768297468645, 0.28247425618182337, 0.28291049077480812, 0.28369721264916192, 0.28504997234306106, 0.2873355978789876, 0.29120519784007159, 0.29787813107532057, 0.30979999292348448, 0.33233240554878829, 0.37870250718437221, 0.48715879019520653, 0.79303534868742798, 1.8054552445722065, 2.8799170712883808, 1.5899381047332459, 0.92752222071360468, 0.67011957849487536, 0.54943255812921643, 0.4833740503085579, 0.44305710599445558, 0.41645691611610575, 0.39786539502518586, 0.3842873149509507, 0.37402378160902017, 0.36604977251611576, 0.35971509657994821, 0.35458994199312532, 0.35038018938724314, 0.34687859245408542, 0.34393541203024852, 0.34144009436574396, 0.33930947172991199, 0.33747994973856305, 0.33590220644649477, 0.33453751703379925, 0.33335515615735922, 0.33233053038200772, 0.33144381506967935, 0.33067894621591887, 0.3300228663030787, 0.32946495489578442, 0.32899659573295842, 0.32861084629651677, 0.32830218563272773, 0.32806632307049416, 0.32790005539173578, 0.32780116360190054, 0.32776834315449743, 0.32777369943754847, 0.32778977932005288, 0.32781661594962758, 0.32785426473120444, 0.32790280356683182, 0.32796233319420931, 0.32803297762689826, 0.32811488469996231, 0.32820822672579308, 0.32831320126586427, 0.32843003202527754, 0.32855896987811367, 0.32870029403301992, 0.32885431334974469, 0.3290213678192071, 0.32920183022122546, 0.32939610797632446, 0.32960464521018423, 0.32982792505202274, 0.33006647219116664, 0.33032085571945974, 0.33059169229121504, 0.33087964963677613, 0.33118545047113501, 0.3315098768450655, 0.33185377499324992, 0.33221806074214749, 0.33260372554992129, 0.33301184326202937, 0.33344357767928984, 0.33390019105091601, 0.33438305362347898, 0.33489365439876084, 0.33543361327963389, 0.33600469481443446, 0.3366088237879436, 0.33724810295232499, 0.33792483324628197, 0.33864153691716442, 0.3394009840421226, 0.34020622304376641, 0.34106061591836612, 0.34196787904607939, 0.34293213064102002, 0.34395794613421143, 0.34505042307817918, 0.34621525753542914, 0.34745883438810393, 0.3487883346136772, 0.35021186335438792, 0.35173860362327447, 0.35337900181643156, 0.35514499294854945, 0.35705027584935484, 0.35911065166774742, 0.36134444323493004, 0.36377301858060934, 0.36642144982343955, 0.36931934972343883, 0.37250194382162527, 0.37601145847719242, 0.37989893760637822, 0.38422664881014323, 0.38907131129509576, 0.39452848731746248, 0.40071864876398661, 0.40779570005497007, 0.41595917623100542, 0.42547206383337088, 0.43668743979399088, 0.45008932622376274, 0.46635718320037206, 0.48647109942309741, 0.51188986626587663, 0.54486552572974511, 0.58902666978021201, 0.65052155774843812, 0.74039940194408105, 0.87988446193737935, 1.1124999923159238, 1.5290797471657764, 2.2668254338514409, 3.0234839869791763, 2.4491161638545393, 1.3993408341763407, 0.84253335949443797, 0.59100923317163501, 0.47120000619632785, 0.41011202019505866, 0.37757069004930677, 0.36012088315851692, 0.35126428977134222, 0.34764301423940902, 0.34742819239889622, 0.34958671205516212, 0.35352492399871704, 0.35890572184973679, 0.36555035169593642, 0.37338392521260477, 0.38240459886392131, 0.39266615997748477, 0.40426853787922745, 0.41735318303102709, 0.43210151526800217, 0.44873528580282596, 0.46751798889214469, 0.48875652064827874, 0.51280216690024294, 0.54004972702192533, 0.57093315294855929, 0.6059155219201755, 0.64547053352282191, 0.69005218494261544, 0.74004914221963958, 0.79572109532655311, 0.85711673924321674, 0.92397761704990156, 0.99563904902641343, 1.0709476541678788, 1.1482215114241405, 1.2252790575409298, 1.2995519903961661, 1.3682755281080259, 1.4287234315585082, 1.4784380776525838, 1.5154087052345175, 1.5381743376436365, 1.5458596254206369, 1.5381743376437647, 1.5154087052347531, 1.4784380776525754, 1.4287234315585107, 1.3682755281081491, 1.2995519903961186, 1.2252790575409411, 1.1482215114241365, 1.0709476541679357, 0.99563904902641465, 0.92397761704984327, 0.85711673924314491, 0.79572109532661184, 0.74004914221964213, 0.69005218494264819, 0.64547053352283701, 0.6059155219201785, 0.57093315294852331, 0.54004972702197185, 0.51280216690026337, 0.48875652064827468, 0.46751798889216178, 0.44873528580281807, 0.43210151526800145, 0.41735318303102731, 0.40426853787922651, 0.39266615997748455, 0.38240459886391626, 0.37338392521260755, 0.36555035169594602, 0.35890572184973579, 0.35352492399871838, 0.34958671205516489, 0.34742819239890088, 0.34764301423940774, 0.35126428977133234, 0.36012088315851887, 0.37757069004930088, 0.41011202019505483, 0.47120000619628588, 0.59100923317166798, 0.8425333594944775, 1.3993408341764977, 2.4491161638552494, 3.023483986978873, 2.2668254338509737, 1.5290797471662398, 1.1124999923160599, 0.87988446193747805, 0.7403994019441954, 0.65052155774843246, 0.58902666978014495, 0.5448655257297238, 0.51188986626591915, 0.4864710994231029, 0.4663571832003664, 0.45008932622375142, 0.43668743979398067, 0.42547206383336234, 0.41595917623099882, 0.40779570005496124, 0.40071864876398622, 0.39452848731746315, 0.38907131129509687, 0.38422664881014346, 0.37989893760638027, 0.37601145847719275, 0.37250194382162211, 0.36931934972343533, 0.36642144982344294, 0.36377301858060851, 0.36134444323492942, 0.35911065166774947, 0.35705027584935728, 0.35514499294855162, 0.35337900181643067, 0.3517386036232733, 0.35021186335438792, 0.34878833461367481, 0.3474588343881041, 0.34621525753543081, 0.34505042307817702, 0.34395794613420899, 0.34293213064101868, 0.34196787904607978, 0.34106061591836706, 0.34020622304376669, 0.33940098404212143, 0.33864153691716198, 0.33792483324628153, 0.33724810295232494, 0.33660882378794238, 0.33600469481443274, 0.33543361327963278, 0.33489365439876195, 0.33438305362347931, 0.3339001910509134, 0.33344357767928928, 0.33301184326202704, 0.33260372554992024, 0.33221806074214777, 0.33185377499325025, 0.33150987684506461, 0.33118545047113446, 0.33087964963677491, 0.33059169229121455, 0.3303208557194619, 0.33006647219116592, 0.32982792505202485, 0.32960464521018545, 0.32939610797632524, 0.32920183022122484, 0.32902136781920821, 0.32885431334974768, 0.32870029403301937, 0.32855896987811528, 0.32843003202527726, 0.32831320126586461, 0.32820822672579342, 0.32811488469996214, 0.32803297762689776, 0.32796233319421009, 0.32790280356683066, 0.32785426473120494, 0.32781661594962841, 0.32778977932005404, 0.32777369943754875, 0.32776834315449466, 0.3277710209782892, 0.3277790561507265, 0.32779245377752547, 0.32781122237667099, 0.32783537389114853, 0.3278649237068163, 0.32789989067545133, 0.3279402971430857, 0.32798616898369076, 0.32803753563829163, 0.32809443015967715, 0.32815688926279524, 0.32822495338103375, 0.328298666728502, 0.32837807736857128, 0.32846323728884352, 0.32855420248280626, 0.32865103303842547, 0.32875379323398268, 0.32886255164141348, 0.32897738123759029, 0.32909835952381311, 0.3292255686539699, 0.32935909557182241, 0.32949903215784526, 0.329645475386183, 0.32979852749224758, 0.32995829615162908, 0.33012489467090722, 0.33029844219113041, 0.33047906390474741, 0.33066689128681115, 0.33086206234138982, 0.33106472186417274, 0.33127502172239431, 0.33149312115318547, 0.33171918708171338, 0.33195339446043454, 0.33219592663104591, 0.33244697571075182, 0.33270674300463871, 0.33297543944621172, 0.33325328606813437, 0.33354051450564004, 0.33383736753510268, 0.33414409965067993, 0.33446097768206223, 0.33478828145676737, 0.33512630451071374, 0.33547535485118674, 0.33583575577675112, 0.33620784675907184, 0.33659198439220034, 0.33698854341540224, 0.33739791781628808, 0.33782052202171181, 0.3382567921847725, 0.33870718757705925, 0.33917219209648541, 0.33965231590205569, 0.34014809718833594, 0.34066010411385894, 0.34118893689933838, 0.34173523011359408, 0.34229965516710387, 0.34288292303575585, 0.34348578724002621, 0.34410904710820001, 0.34475355135578312, 0.34542020201764667, 0.34610995877417783, 0.34682384371840114, 0.34756294661746645, 0.3483284307293586, 0.34912153924436223, 0.34994360243085321, 0.3507960455767043, 0.35168039783119187, 0.35259830206833703, 0.35355152591123351, 0.35454197407902083, 0.35557170224402529, 0.35664293261727259, 0.35775807151705136, 0.35891972921826831, 0.36013074243216453, 0.36139419982756177, 0.36271347107914687, 0.36409224001765217, 0.36553454256510215, 0.36704481026963565, 0.368627920414697, 0.37028925387360312, 0.37203476212173087, 0.37387104511660141, 0.37580544212588374, 0.3778461380448272, 0.38000228832256672, 0.38228416634566781, 0.38470333805103868, 0.38727286971767488, 0.39000757639795253, 0.39292432039953246, 0.3960423717656012, 0.39938384602222154, 0.40297423884388073, 0.40684308311691925, 0.41102476169841334, 0.41555951974817795, 0.42049473496554868, 0.42588652400692295, 0.4318017911731708, 0.4383208646813303, 0.44554092181848221, 0.45358048519672978, 0.46258539088273765, 0.4727368053673292, 0.48426213420144992, 0.49745007278545772, 0.51267168556364784, 0.53041040906774761, 0.5513055056640157, 0.57621618075893244, 0.60631807598538512, 0.64325150181257307, 0.68935389236106759, 0.7480313244243374, 0.82436048269499052, 1.2593532697036371, 2.3777140972471029, 2.1536989927889989, 0.85048184103474767, 0.48547501817902133, 0.37720806357224601, 0.33806692197138971, 0.32221248927476792, 0.31553762139110103, 0.31283650896209358, 0.31192427888731289, 0.31179855469265483, 0.31197290172659187, 0.31220584065150581, 0.31238007129589201, 0.31244431737294281, 0.31238336678397544, 0.31220169404902992, 0.31191405550727835, 0.31153989693509831, 0.31109997761835828, 0.31061435529517045, 0.31010124133944444, 0.30957642437095334, 0.3090530647145025, 0.3085417246014508, 0.30805053981883929, 0.30758546710976342, 0.30715056251466966, 0.30674826129561755, 0.3063796414206002, 0.30604466070782943, 0.30574236335276012, 0.30547105527647367, 0.30522845003799276, 0.30501178834662279, 0.30481793480937547, 0.30464345569106865, 0.30448468132489981, 0.30433775651165434, 0.30419868186970328, 0.3040633487019313, 0.30392756956639322, 0.30378710640182083, 0.30363769778723282, 0.30347508672800017, 0.30329505028270398, 0.3030934324086515, 0.30286618165457596, 0.30260939583290919, 0.30231937665818581, 0.3019926986874179, 0.30162629896320925, 0.30121759688077709, 0.30076465851103862, 0.30026642676788978, 0.29972304979843079, 0.29913635709995789, 0.29851056000570581, 0.29785329701095892, 0.29717721669208769, 0.29650241293762636, 0.29586023827429386, 0.29529939666833738, 0.2948959067252187, 0.29476983718288519, 0.29511430963785368, 0.29624762881804961, 0.29871109162023463, 0.30346206857396341, 0.31227900303935002, 0.3286752418196135, 0.36015071435730739, 0.42435075866572658, 0.56791245211762287, 0.92711399820116569, 1.8234553338547681, 2.6947158755328338, 1.9652323900817397, 1.2589873772522742, 0.90766686721163337, 0.72597426301397183, 0.62159643760831662, 0.55598259621116752, 0.51173595520076465, 0.48021961702023214, 0.45677361313138964, 0.43870473913220009, 0.42436587297257916, 0.41270124730779767, 0.40300694475242477, 0.39479766979200559, 0.38772910358948587, 0.3815508065243699, 0.37607664963946963, 0.37116569453693515, 0.36670951862177292, 0.36262364675618414, 0.35884168693298557, 0.3553113167801058, 0.35199160680307606, 0.3488513935634503, 0.34586859261202874, 0.34303051497658527, 0.34033547683813636, 0.33779635709695366, 0.33544743401385307, 0.33335719867256891, 0.33165279804564918, 0.33056859427522745, 0.33054836203447224, 0.33247704841220749, 0.33825882882679714, 0.35244687512587813, 0.38763750784813839, 0.48641944826757494, 0.82839192649530657, 1.7627163414047111, 1.309541916148385, 0.76132421695349584, 0.56419831814661248, 0.47931641439134304, 0.43566451430944414, 0.41059573688725037, 0.39539977289780764, 0.38623798612834914, 0.3812907887150716, 0.37972298382114045, 0.38076376939973522, 0.38399084643870446, 0.3897463971857707, 0.39870751998399478, 0.41210369297667371, 0.43218540157577823, 0.46328886273646364, 0.51448616413338699, 0.60697789060130192, 0.79693256284182556, 1.2335595088777744, 1.8574289931445722, 1.2867382441698401, 0.69349625154459182, 0.47982922360563496, 0.39823603083905668, 0.36242943561639174, 0.34513888216502597, 0.33638035725304127, 0.33196067635665383, 0.32991697991491248, 0.32924932191795497, 0.32941315343273991, 0.33009570106896241, 0.33110945126924707, 0.33233804712301396, 0.33370729031355256, 0.33516887523687094, 0.33669090253176798, 0.33825215722943236, 0.33983855538690061, 0.34144088079410562, 0.34305331159401431, 0.3446724433224142, 0.34629663148237499, 0.34792554449328089, 0.34955985823607932, 0.35120104808695135, 0.35285124975349758, 0.354513170089505, 0.3561900355217319, 0.3578855700666001, 0.35960399793844783, 0.36135006795373548, 0.36312909864371595, 0.36494704442699205, 0.36681058452931603, 0.36872723771075755, 0.37070550740187369, 0.37275506370508232, 0.37488697106335911, 0.37711397346694142, 0.37945085318576499, 0.38191488464165241, 0.38452641285016537, 0.38730959687843924, 0.39029337451978624, 0.39351272725200398, 0.39701035825329817, 0.4008389467677882, 0.40506421918916269, 0.40976919712396664, 0.41506017316097105, 0.42107527469649259, 0.42799699237918565, 0.43607093466966618, 0.44563463436036282, 0.45716309393533411, 0.47134318983805568, 0.48919981098088849, 0.51231888529935654, 0.54326087417208369, 0.58636869010790127, 0.64943456249863929, 0.74729411027967885, 0.90944868145973112, 1.1909396641838839, 1.6284533650438722, 1.8553582664004358, 1.3483703368764792, 0.82687247289707022, 0.56930129278321484, 0.45185067032722143, 0.3950959658389554, 0.36577370509255303, 0.34981576194449399, 0.3408212379732603, 0.33565095802566514, 0.33266132662488196, 0.33094325008944475, 0.32997049590437194, 0.32942699410328763, 0.3291176020175996, 0.32892020683037099, 0.32875957353821333, 0.32859351336998144, 0.32840690784472459, 0.32821187765562015, 0.32805436780147368, 0.32802956311713632, 0.3283118994801083, 0.32921188620975184, 0.33128576761787865, 0.33555590325927936, 0.34397855382501002, 0.36050616131987379, 0.39370141000622094, 0.4637774965195593, 0.62314240755379746, 1.0137075742972828, 1.8909760806683775, 2.6413685402901357, 2.1173752997035153, 1.487575104797199, 1.1266777514531232, 0.92504827891674712, 0.80423023164004448, 0.72662395841458072, 0.67393512811341982, 0.63664984902768873, 0.60948178074684833, 0.58932423892833008, 0.57426875713489567, 0.56310474382148101, 0.5550503754509597, 0.54960168246739305, 0.54644587039282666, 0.54541205044622387], [0.39656908171015348, 0.39832120438006047, 0.40386669856052815, 0.41420667456805355, 0.43156938378158416, 0.46081466349848293, 0.51351203119820321, 0.62181279043371762, 0.89399470217098387, 1.602827080329946, 1.3405454561615888, 0.62949534083409797, 0.4357438081633519, 0.37649079015494918, 0.35474765913009199, 0.34619735931399931, 0.34312508667990727, 0.34260033689050062, 0.34335693323990701, 0.34479500585141176, 0.34661158986031049, 0.34864771218254298, 0.35081931234590974, 0.35308381257238086, 0.35542305965213983, 0.35783429776422765, 0.36032532635730674, 0.36291197942267839, 0.36561699359355465, 0.36846979846623873, 0.37150701458214047, 0.37477359796654969, 0.37832468300021543, 0.38222828200247455, 0.38656912716645886, 0.39145411843881733, 0.3970201131401031, 0.4034452321964061, 0.41096559371321123, 0.41990066064881676, 0.43069268016050671, 0.44396996216932183, 0.46065204271633259, 0.48213167743321034, 0.51060489761394778, 0.54970305276309683, 0.6057820075682121, 0.69074815070974316, 0.82874675740495141, 1.0729262416303591, 1.5435179798591792, 2.4099126512668256, 2.9686861820595611, 1.9467035938387411, 1.0596256603272463, 0.66820640606047232, 0.49484621073711571, 0.41001988467804334, 0.36459555432484331, 0.33850539678642444, 0.32270071932767447, 0.31272986160920102, 0.30623950632951846, 0.30191031640488092, 0.2989660620265393, 0.29693142575326736, 0.29550547996768939, 0.29449230651635777, 0.2937613442307731, 0.2932239127654146, 0.29281889404364714, 0.29250378708489644, 0.29224902568478883, 0.29203435074295375, 0.29184653625524615, 0.29167806807861885, 0.29152656676993816, 0.29139488734428337, 0.2912919591133809, 0.29123458489717802, 0.29125065052622173, 0.29138458788892052, 0.29170665419257041, 0.29232898650294942, 0.29343424462925649, 0.29532881514775072, 0.29854669003379475, 0.30406502747944547, 0.31378626774644408, 0.33172205831945412, 0.36726688074066105, 0.44573930170363996, 0.64933869505481567, 1.2974366302019831, 2.8863289798032032, 2.1775634599706311, 1.1632095014955093, 0.77865751856465759, 0.61141920565748553, 0.52481959669896128, 0.47398988611479903, 0.44138744594657991, 0.41907669486580329, 0.40304473201692947, 0.39108037271765128, 0.38188003080600663, 0.37463227621888429, 0.36880903709984703, 0.36405367854245074, 0.3601177022062661, 0.35682328401084895, 0.35404022642881555, 0.35167129557679194, 0.34964261598282081, 0.34789721483898922, 0.34639058351937557, 0.34508756404772717, 0.34396012568943979, 0.3429857519367242, 0.3421462540154826, 0.34142688769488061, 0.34081568938905993, 0.34030297339516752, 0.33988094948377695, 0.339543431944129, 0.33928561947078328, 0.33910393116777054, 0.33899588823154408, 0.33896003408445075, 0.33896588433026748, 0.33898344734142277, 0.33901275999309727, 0.33905388392455532, 0.33910690581176545, 0.33917193775234006, 0.33924911776620215, 0.33933861041634789, 0.33944060755523153, 0.33955532920344611, 0.33968302456869565, 0.3398239732143859, 0.33997848638882389, 0.34014690852753171, 0.3403296189433575, 0.34052703372090964, 0.34073960783451612, 0.34096783751147136, 0.34121226286553685, 0.34147347082919616, 0.34175209841719456, 0.34204883635870376, 0.34236443314068904, 0.34269969951145124, 0.34305551350053909, 0.34343282601964581, 0.34383266711904747, 0.34425615298568296, 0.34470449378259965, 0.34517900244550154, 0.34568110457115175, 0.34621234955487401, 0.3467744231612187, 0.34736916174389754, 0.34799856836951637, 0.34866483114593255, 0.34937034411189327, 0.35011773111255057, 0.35090987316797934, 0.35174993994315457, 0.35264142605205018, 0.35358819308225958, 0.35459451841722756, 0.35566515217120986, 0.35680538385061827, 0.35802112073229775, 0.35931898042743382, 0.36070640071082694, 0.36219177048060663, 0.36378458673059383, 0.36549564374372545, 0.36733726245822995, 0.36932357026818291, 0.37147084460743501, 0.37379793783062998, 0.37632680657778661, 0.37908317661676078, 0.38209738502404206, 0.38540545686689653, 0.38905049537595998, 0.3930844961558515, 0.39757074228729999, 0.4025870062073762, 0.40822988895497819, 0.41462078915894302, 0.42191424930130433, 0.43030983824763919, 0.4400694089679662, 0.45154272460332884, 0.46520646458087678, 0.48172527092389333, 0.50205033549411648, 0.52758438824005038, 0.56046924365916451, 0.60411067781648986, 0.66418811030508873, 0.75071292787169508, 0.88248042536423887, 1.097109382721805, 1.4723442767948141, 2.1420066320426985, 3.0126362875911608, 2.8419099781909112, 1.7210452906935474, 1.0091789262279327, 0.67954853797356241, 0.52363887995700775, 0.44477583968905293, 0.40280567260089623, 0.38004018137395107, 0.36805512295351905, 0.36254983559115023, 0.36120363110555909, 0.36271335412604139, 0.36633154350735059, 0.37163192947650237, 0.37838478428744238, 0.38648839437347404, 0.39593070750457937, 0.40676802387873906, 0.41911381273002313, 0.43313387718011631, 0.44904572629917627, 0.46712086723274587, 0.48768914068453856, 0.51114434272918918, 0.53795025904141691, 0.56864588059899313, 0.60384793438838913, 0.64424789832058416, 0.69059935355675894, 0.74368993992201615, 0.80429063745222384, 0.8730743482936445, 0.95049718441868247, 1.0366415206963946, 1.1310318724551385, 1.2324535033007149, 1.3388253474332499, 1.4471922935530561, 1.5538908900122463, 1.6548958638463742, 1.7462818061553573, 1.8246709277919426, 1.8875278705536793, 1.9332224585017668, 1.9608810716364844, 1.9701320970844398, 1.9608810716366418, 1.9332224585020532, 1.887527870553664, 1.8246709277919524, 1.7462818061555094, 1.6548958638463118, 1.5538908900122639, 1.4471922935530488, 1.3388253474333176, 1.2324535033007149, 1.1310318724550534, 1.0366415206962938, 0.95049718441876874, 0.87307434829364805, 0.80429063745226914, 0.74368993992203702, 0.69059935355676383, 0.64424789832053575, 0.60384793438845141, 0.56864588059901966, 0.53795025904141169, 0.51114434272921117, 0.48768914068452918, 0.46712086723274465, 0.44904572629917622, 0.43313387718011542, 0.41911381273002285, 0.40676802387873301, 0.39593070750458292, 0.38648839437348498, 0.37838478428744088, 0.37163192947650409, 0.36633154350735447, 0.36271335412604588, 0.36120363110555848, 0.36254983559114135, 0.36805512295352028, 0.38004018137394663, 0.40280567260089339, 0.44477583968902301, 0.52363887995702751, 0.67954853797358417, 1.0091789262280146, 1.7210452906942411, 2.841909978190821, 3.0126362875905937, 2.1420066320433535, 1.472344276795045, 1.0971093827219613, 0.88248042536441573, 0.75071292787168598, 0.66418811030499758, 0.60411067781646222, 0.56046924365922079, 0.52758438824005749, 0.50205033549410993, 0.48172527092387918, 0.46520646458086506, 0.45154272460331857, 0.44006940896795832, 0.43030983824762969, 0.42191424930130361, 0.41462078915894374, 0.40822988895497914, 0.40258700620737625, 0.39757074228730221, 0.39308449615585211, 0.38905049537595632, 0.38540545686689259, 0.38209738502404605, 0.37908317661676005, 0.37632680657778594, 0.37379793783063237, 0.37147084460743751, 0.36932357026818552, 0.36733726245822917, 0.36549564374372423, 0.36378458673059377, 0.36219177048060414, 0.36070640071082694, 0.35931898042743582, 0.35802112073229558, 0.35680538385061561, 0.35566515217120803, 0.35459451841722783, 0.35358819308226053, 0.35264142605205051, 0.35174993994315346, 0.35090987316797667, 0.35011773111254985, 0.34937034411189327, 0.34866483114593139, 0.34799856836951476, 0.3473691617438962, 0.3467744231612197, 0.34621234955487434, 0.34568110457114909, 0.34517900244550059, 0.34470449378259732, 0.3442561529856818, 0.3438326671190477, 0.34343282601964575, 0.34305551350053798, 0.34269969951145052, 0.34236443314068765, 0.34204883635870309, 0.34175209841719673, 0.34147347082919566, 0.34121226286553907, 0.34096783751147264, 0.34073960783451701, 0.34052703372090876, 0.34032961894335867, 0.34014690852753493, 0.33997848638882333, 0.33982397321438756, 0.33968302456869548, 0.3395553292034465, 0.33944060755523181, 0.33933861041634777, 0.33924911776620159, 0.33917193775234095, 0.33910690581176434, 0.33905388392455571, 0.33901275999309821, 0.3389834473414241, 0.3389658843302677, 0.33896003408444786, 0.33896295885478928, 0.33897173506863132, 0.33898636843737884, 0.33900686848979578, 0.3390332485867053, 0.33906552594161754, 0.33910372164733726, 0.33914786070868186, 0.33919797208137964, 0.33925408871725271, 0.33931624761587209, 0.33938448988279957, 0.33945886079464976, 0.33953940987111308, 0.33962619095424695, 0.33971926229523469, 0.33981868664892367, 0.33992453137644191, 0.34003686855625698, 0.34015577510399236, 0.34028133290151935, 0.34041362893565119, 0.3405527554469891, 0.34069881008946368, 0.34085189610108951, 0.34101212248660956, 0.34117960421266014, 0.34135446241625905, 0.34153682462733387, 0.34172682500620966, 0.34192460459700197, 0.34213031159790958, 0.34234410164953505, 0.34256613814243014, 0.34279659254522116, 0.34303564475467158, 0.34328348346932136, 0.34354030658832535, 0.34380632163740771, 0.34408174622391596, 0.34436680852315243, 0.34466174779849235, 0.34496681495779119, 0.34528227314909593, 0.34560839839871854, 0.34594548029523936, 0.34629382272317749, 0.34665374465055987, 0.34702558097498831, 0.34740968343328926, 0.34780642158037267, 0.34821618384344294, 0.34863937865845751, 0.34907643569637747, 0.34952780718762244, 0.34999396935403121, 0.35047542395873116, 0.35097269998534952, 0.35148635545951873, 0.3520169794269124, 0.35256519410386583, 0.35313165721850542, 0.35371706456242097, 0.35432215277550766, 0.35494770238922818, 0.35559454115693906, 0.35626354770339569, 0.35695565552991904, 0.35767185741633056, 0.35841321026646056, 0.35918084045026066, 0.35997594970297819, 0.36079982165033575, 0.36165382903849425, 0.36253944175905334, 0.36345823577267738, 0.364411903050542, 0.36540226267096243, 0.36643127323009689, 0.36750104675067197, 0.36861386430254761, 0.36977219358402619, 0.37097870875460004, 0.37223631285968811, 0.37354816324711343, 0.37491770044652489, 0.37634868106841413, 0.37784521538288446, 0.37941181036346927, 0.38105341913367735, 0.38277549793985088, 0.38458407200198769, 0.38648581187507525, 0.38848812230094837, 0.39059924596271278, 0.39282838509337903, 0.39518584456846462, 0.39768320096792442, 0.40033350318000316, 0.4031515115085087, 0.40615398403018821, 0.40936002126021209, 0.41279148319458842, 0.41647349675186335, 0.42043507686554654, 0.4247098914526834, 0.42933720986446855, 0.43436308715680644, 0.4398418539658811, 0.44583800592584805, 0.45242862035981146, 0.45970647580195223, 0.46778411841782763, 0.47679921879074999, 0.4869217087385197, 0.49836340596902201, 0.51139116487727176, 0.52634510059566197, 0.54366422999028285, 0.56392314221308026, 0.58788536847273976, 0.61658251261940422, 0.65143388251678513, 0.69443096933500603, 0.74842738046595014, 0.81760170209488725, 0.90820143448806112, 1.0297198023350258, 1.7568001719216917, 2.8902341890882211, 1.4697081630348787, 0.66459249340183391, 0.44430535393502901, 0.37127311577874539, 0.34293175225383965, 0.33103744573960919, 0.3260075144022262, 0.32404848810783732, 0.32348490061445567, 0.32351923343424766, 0.32375491837579523, 0.32399307667745958, 0.32413828124451494, 0.324151551516901, 0.32402531957820663, 0.32376930148356636, 0.32340213913988947, 0.32294630176541139, 0.32242494924092679, 0.32186004192732537, 0.32127127199926436, 0.32067554410677701, 0.32008681992252108, 0.31951619539792064, 0.31897211685560722, 0.31846066946056445, 0.31798589238643959, 0.31755009075035279, 0.31715412612018845, 0.31679767586397989, 0.31647945747618211, 0.31619741787266686, 0.31594889000897725, 0.31573072046961426, 0.3155393722370114, 0.31537100693213987, 0.31522155061008128, 0.31508674682326887, 0.31496220022006133, 0.31484341348510775, 0.31472581998771237, 0.31460481411171337, 0.31447578091443384, 0.31433412652300069, 0.31417531054591857, 0.31399488178644674, 0.31378851873380531, 0.3135520767383112, 0.31328164453386298, 0.31297361398327095, 0.31262476878044981, 0.31223240064039492, 0.31179446569801522, 0.3113098001387663, 0.31077842365387059, 0.31020197404222366, 0.30958433932037982, 0.30893259040195697, 0.30825837704841719, 0.30758004885378348, 0.30692593153229603, 0.30633948303859804, 0.30588758308068514, 0.30567419209952557, 0.30586350842592175, 0.30672055222990235, 0.308685102872652, 0.31251268803143006, 0.3195583637159165, 0.33238596077969784, 0.35618125128600864, 0.4023463361953078, 0.49865330853634415, 0.72070691395776521, 1.2803854324769828, 2.4120800026227025, 2.6175305917068008, 1.723807832114193, 1.1583621498275367, 0.87383427327186824, 0.71905171579857408, 0.62627826257304986, 0.56605858864330283, 0.52445285027051947, 0.49425829363054052, 0.47146203025501782, 0.45368422629338651, 0.43943853287532147, 0.42775558135471592, 0.4179796216966426, 0.40965298458806965, 0.40244753125809474, 0.39612243430483224, 0.39049732475561005, 0.38543473601589828, 0.38082836137471998, 0.37659506464008619, 0.37266939775250713, 0.36899986568780413, 0.36554648720802341, 0.36227941591948271, 0.3591785667587965, 0.35623438902307758, 0.35345020398213184, 0.3508469977494269, 0.34847246512251101, 0.34641797303734323, 0.3448512560911064, 0.34408248491638849, 0.34470658950147076, 0.34793601224191273, 0.3564643355576631, 0.37703184353639341, 0.42951694313896466, 0.58685618593447519, 1.1513343197551145, 1.8194615536149785, 1.0473645226796873, 0.67687259192392801, 0.53662747591609616, 0.47164777799717755, 0.4368228802571727, 0.4166423359852387, 0.40481930041544278, 0.39854257623453188, 0.39656908171015348, 0.39787833690090618, 0.40195877412511627, 0.4093151508863565, 0.42097017277625903, 0.43884927309641864, 0.46665771523730976, 0.51202351905817756, 0.59231426803499798, 0.75223895225730342, 1.1140065683430256, 1.7770359426383462, 1.5040265312010881, 0.8016359542176299, 0.52855955673577271, 0.4267458384438067, 0.38308950801529762, 0.36228801063107008, 0.35178697308568302, 0.34644161868786305, 0.34388859749967898, 0.34294092378004976, 0.34295904299311614, 0.3435785175692726, 0.34458212933331961, 0.34583564762448116, 0.34725371569698144, 0.34878085568754658, 0.35038045560866737, 0.35202815781139773, 0.35370776819945576, 0.35540865805650956, 0.35712407634556276, 0.3588500324746518, 0.36058454540057755, 0.36232713349313711, 0.36407846623646845, 0.36584012725366832, 0.36761445585417313, 0.3694044456062352, 0.37121368582745973, 0.37304633685365884, 0.37490713340267739, 0.37680141286913765, 0.37873516734284995, 0.38071511979543576, 0.38274882641938496, 0.38484480869038723, 0.38701272051201352, 0.38926355795989359, 0.39160992187715604, 0.3940663471602584, 0.39664971739347843, 0.39937979009134883, 0.40227986699195767, 0.40537765681430121, 0.40870639647598245, 0.41230632379278598, 0.41622663460358483, 0.42052811722841266, 0.42528674886973944, 0.43059868156228814, 0.43658727303054079, 0.44341318906727034, 0.45128922477787231, 0.46050255928172051, 0.47144905076616311, 0.48468764983778656, 0.50102961867930951, 0.52169035547368148, 0.54855880727043282, 0.58469843413882328, 0.63532706184050924, 0.70983066511869974, 0.82602954845638998, 1.0186460693660706, 1.3466535072493966, 1.8089662016827002, 1.9178098702024138, 1.3354272877802009, 0.83262430545941579, 0.58509719800637305, 0.46930492001689361, 0.41200288348227343, 0.38184297536549588, 0.36519861529779535, 0.35572410713325497, 0.35024825766803286, 0.34708489793799402, 0.34528910208543878, 0.34430741509947016, 0.34380345363632286, 0.34356650455017368, 0.34346165904731618, 0.34340186504938158, 0.34333222936123081, 0.34322172292411401, 0.3430599802523604, 0.34285843457562448, 0.34265628515359131, 0.34253327683633183, 0.34263364693199522, 0.34321008024615751, 0.34470577628356336, 0.34791313962246972, 0.35429543382042761, 0.36667755481918374, 0.39083480169414586, 0.43944420222316993, 0.5427193277798007, 0.77806472511679248, 1.3326091458165279, 2.3327147603911649, 2.6862299612991034, 2.0449481543227224, 1.4890823848948114, 1.1654145976170305, 0.9763518679550327, 0.85889524849484578, 0.78147704847682209, 0.72800020890903439, 0.6897752684673758, 0.66183766254520604, 0.64121283145511776, 0.62605362566647971, 0.61518798432322708, 0.60787103061970549, 0.60364540711734216, 0.60226306633953375], [0.41645473166681224, 0.41872245596078567, 0.42596634616137297, 0.43974567045812463, 0.46368634404080711, 0.50625595557717562, 0.58967228179521702, 0.78364553848359808, 1.317283702592992, 1.702328276219143, 0.81659185602276341, 0.50092519740934338, 0.40990197643269344, 0.37777334127285278, 0.36508626806783817, 0.36013555554196108, 0.35868642413805069, 0.35896959233046055, 0.360165264907088, 0.36186468186682913, 0.36385406237193063, 0.36601926586090677, 0.36830044480844693, 0.37066917181996117, 0.37311639536160957, 0.37564594531209189, 0.37827106020586171, 0.38101267630099761, 0.38389884082136283, 0.38696493910144814, 0.39025461547225737, 0.39382139705101382, 0.3977311403037358, 0.40206554172030923, 0.40692711492307576, 0.41244627530000344, 0.41879155088266717, 0.42618456128937215, 0.43492247120001071, 0.44541250674055849, 0.45822657165065678, 0.47419057471539644, 0.49453618245977726, 0.52117015816753676, 0.55717726089604636, 0.60781608473342585, 0.68262868466578297, 0.8002539185467592, 1.0001813349812125, 1.3713022038750595, 2.0875858853371678, 3.0218409962371533, 2.5691734550001764, 1.421734062252082, 0.83495054012120784, 0.58002690471343921, 0.45996627406229146, 0.39773736002621618, 0.36287715232111339, 0.34215000222332626, 0.32925217241139432, 0.32093969578218573, 0.31543367628719254, 0.3117063999236187, 0.30913797636210111, 0.30734082542857216, 0.30606519870586912, 0.30514602790951595, 0.30447187128031827, 0.30396617474923843, 0.30357565226920108, 0.30326292212696943, 0.30300177172866594, 0.30277410386563253, 0.30256800766982411, 0.30237663285039423, 0.30219769957873227, 0.30203359186040507, 0.30189209001517181, 0.30178792731680065, 0.30174554634234113, 0.30180374902203727, 0.30202350916433907, 0.30250131221939502, 0.30339258232126354, 0.30495438589028834, 0.30762694374039501, 0.31219819746401439, 0.32015963080123322, 0.33454375439856138, 0.36211756260776218, 0.41996875668737954, 0.55902692928425446, 0.96484073822801864, 2.2659155545035885, 2.9141424491059489, 1.5425800654603252, 0.93909354262650224, 0.69629081996019615, 0.57863356198152038, 0.5127378898933681, 0.4718658918298283, 0.44458023598872931, 0.42533968467989691, 0.41119081802873192, 0.40043783731794885, 0.3920475026494461, 0.38535913458873056, 0.37993307141092492, 0.37546676687971842, 0.37174602574236743, 0.36861546523859173, 0.36595997440482825, 0.36369271105965806, 0.36174711796367487, 0.36007148416005086, 0.35862516110602616, 0.35737588041617863, 0.35629782080802763, 0.35537019463900915, 0.354576201386888, 0.35390224474867432, 0.35333734229975511, 0.35287267817601448, 0.35250126386630298, 0.35221768232948925, 0.35201789780569764, 0.35189911886695074, 0.3518597061080973, 0.35186613676472878, 0.35188544249530679, 0.3519176646438999, 0.35196287232450646, 0.35202116273384293, 0.35209266159308999, 0.35217752372258765, 0.35227593375461591, 0.35238810699074941, 0.35251429041163374, 0.35265476384858063, 0.3528098413279725, 0.35297987260141533, 0.35316524487639628, 0.35336638476477072, 0.35358376046862372, 0.35381788422621868, 0.35406931504382344, 0.35433866174304013, 0.35462658635750127, 0.35493380791765178, 0.35526110666812272, 0.35560932876854057, 0.35597939153634978, 0.35637228929899079, 0.35678909993301489, 0.35723099217983439, 0.35769923384190672, 0.3581952009798372, 0.35872038825055175, 0.35927642055008452, 0.35986506615229968, 0.36048825156805941, 0.361148078389118, 0.36184684242885973, 0.36258705552981468, 0.3633714704778363, 0.36420310954820567, 0.36508529731305811, 0.36602169846774507, 0.3670163615916211, 0.36807376995479973, 0.36919890072667871, 0.37039729424817824, 0.37167513541536107, 0.37303934971126906, 0.37449771704653989, 0.3760590073704202, 0.37773314304903416, 0.37953139435606742, 0.3814666161896782, 0.38355353646895723, 0.38580910978399308, 0.38825295407423777, 0.39090789381889229, 0.39380064106148821, 0.39696265647126133, 0.40043124792366297, 0.40425098580954755, 0.40847554559467369, 0.41317013393190283, 0.41841472261218515, 0.42430841730975394, 0.43097544598707788, 0.43857349957435737, 0.44730555477405887, 0.45743696109410592, 0.46932067358733476, 0.48343542001620848, 0.50044500724339624, 0.52129331063801487, 0.54736172402665006, 0.58074050534950483, 0.62471756918648302, 0.68470413108361849, 0.77008717786137848, 0.89815292933763513, 1.1027589968235798, 1.4527955874050671, 2.0731413711764217, 2.9753121473597792, 3.1510650886680849, 2.0647701596896035, 1.2014150692165584, 0.78322681217704515, 0.58525614374204604, 0.48561485429558643, 0.43263771560065956, 0.40367735614535255, 0.38805117461833943, 0.38035585312530112, 0.37769719003364371, 0.37845795238081603, 0.38171216641571115, 0.38693028190347545, 0.39382367680964198, 0.4022598150749771, 0.4122151819285107, 0.42374951414727041, 0.43699274356853002, 0.45214005819638114, 0.46945257323577733, 0.48926221896358779, 0.51198002384257091, 0.53810718831271298, 0.56824826153610719, 0.60312531264405056, 0.64359111440349293, 0.69063784396474148, 0.74539541914699059, 0.80911013679512889, 0.88308983717644851, 0.96859720774428737, 1.0666704479675972, 1.1778552824458477, 1.3018519582150698, 1.4371231387483028, 1.5805724631238109, 1.7274647619420569, 1.8717627773303436, 2.006942101403042, 2.1271197248361959, 2.2281128749707673, 2.3080096162563062, 2.3670433546299727, 2.4068813053594131, 2.4296491037162617, 2.4370281687515325, 2.4296491037163848, 2.4068813053596516, 2.3670433546299621, 2.308009616256312, 2.2281128749709307, 2.1271197248361231, 2.0069421014030615, 1.8717627773303325, 1.7274647619421521, 1.5805724631238054, 1.4371231387481891, 1.3018519582149279, 1.177855282445966, 1.0666704479676017, 0.96859720774435232, 0.88308983717647749, 0.80911013679513677, 0.74539541914692564, 0.69063784396482508, 0.64359111440352801, 0.6031253126440449, 0.56824826153613539, 0.53810718831270099, 0.51198002384256991, 0.4892622189635879, 0.46945257323577705, 0.45214005819638053, 0.43699274356852247, 0.4237495141472748, 0.41221518192852408, 0.40225981507497516, 0.39382367680964425, 0.38693028190348056, 0.38171216641571587, 0.37845795238081609, 0.37769719003363539, 0.38035585312530173, 0.38805117461833699, 0.40367735614535089, 0.43263771560063913, 0.48561485429559997, 0.58525614374206003, 0.78322681217710355, 1.2014150692169923, 2.0647701596897479, 3.1510650886682061, 2.9753121473602469, 2.0731413711767641, 1.4527955874053313, 1.1027589968238587, 0.8981529293376197, 0.77008717786124659, 0.68470413108358241, 0.62471756918655807, 0.58074050534951527, 0.54736172402664274, 0.52129331063799611, 0.50044500724338092, 0.48343542001619577, 0.46932067358732604, 0.45743696109409454, 0.44730555477405837, 0.43857349957435859, 0.4309754459870786, 0.42430841730975388, 0.41841472261218815, 0.41317013393190383, 0.40847554559466959, 0.4042509858095425, 0.40043124792366713, 0.39696265647126017, 0.39380064106148738, 0.39090789381889496, 0.38825295407424099, 0.38580910978399596, 0.38355353646895624, 0.38146661618967659, 0.37953139435606731, 0.37773314304903155, 0.37605900737042008, 0.37449771704654189, 0.37303934971126673, 0.37167513541535813, 0.37039729424817641, 0.36919890072667894, 0.36807376995480073, 0.36701636159162182, 0.36602169846774385, 0.365085297313055, 0.36420310954820512, 0.36337147047783619, 0.36258705552981346, 0.36184684242885778, 0.36114807838911661, 0.36048825156806052, 0.35986506615229996, 0.3592764205500818, 0.35872038825055091, 0.35819520097983465, 0.35769923384190538, 0.35723099217983467, 0.35678909993301489, 0.35637228929898968, 0.35597939153634917, 0.35560932876853923, 0.35526110666812227, 0.35493380791765422, 0.35462658635750055, 0.35433866174304257, 0.35406931504382477, 0.35381788422621957, 0.35358376046862289, 0.353366384764772, 0.35316524487639961, 0.35297987260141478, 0.35280984132797444, 0.35265476384858019, 0.35251429041163429, 0.35238810699074979, 0.35227593375461563, 0.35217752372258704, 0.35209266159309099, 0.35202116273384165, 0.35196287232450663, 0.3519176646439009, 0.35188544249530818, 0.351866136764729, 0.35185970610809408, 0.35186292104217254, 0.35187256799020272, 0.35188865339300679, 0.35191118799665783, 0.35194018686960726, 0.35197566942672642, 0.35201765946032082, 0.35206618517827015, 0.35212127924938369, 0.35218297885609479, 0.35225132575472029, 0.35232636634342185, 0.35240815173815004, 0.35249673785674684, 0.35259218551156529, 0.35269456051085929, 0.35280393376931107, 0.35292038142806248, 0.35304398498468598, 0.35317483143348355, 0.35331301341672727, 0.35345862938725303, 0.35361178378306329, 0.35377258721459903, 0.35394115666531523, 0.35411761570637407, 0.35430209472623136, 0.35449473117608388, 0.35469566983206113, 0.35490506307527592, 0.3551230711908907, 0.35534986268741409, 0.35558561463761085, 0.3558305130424903, 0.35608475322002969, 0.35634854022031065, 0.35662208926906797, 0.356905626241667, 0.35719938816985147, 0.35750362378372136, 0.35781859409163436, 0.35814457300111813, 0.35848184798391519, 0.35883072078888029, 0.35919150820654439, 0.35956454288977213, 0.35995017423517361, 0.36034876933055127, 0.36076071397412601, 0.36118641377190763, 0.36162629532025858, 0.36208080748137389, 0.362550422760337, 0.36303563879326567, 0.36353697995715806, 0.3640549991132066, 0.364590279496743, 0.3651434367683416, 0.36571512124252764, 0.36630602031224874, 0.36691686108958366, 0.36754841328562893, 0.36820149235524718, 0.3688769629357318, 0.36957574261192333, 0.37029880604472543, 0.37104718950458737, 0.37182199585724646, 0.37262440005520253, 0.37345565519591434, 0.37431709921605005, 0.37521016230103565, 0.37613637510051645, 0.37709737785360137, 0.37809493054324389, 0.37913092421717398, 0.38020739363402611, 0.38132653141811146, 0.38249070393575202, 0.38370246914061074, 0.38496459667665645, 0.3862800905761285, 0.38765221494807772, 0.38908452312283021, 0.39058089080105646, 0.39214555385705674, 0.39378315156735111, 0.39549877618347584, 0.39729802994767405, 0.39918709087031035, 0.40117278885806695, 0.4032626941155531, 0.40546522015647879, 0.4077897442755809, 0.41024674897739782, 0.41284798866953332, 0.41560668695564779, 0.41853777117079743, 0.42165815247690025, 0.42498706199522907, 0.42854645625404586, 0.43236150889144892, 0.43646121037331048, 0.44087910388304619, 0.44565419409740792, 0.45083207711206802, 0.45646635551199638, 0.46262042421805544, 0.46936974280723293, 0.47680475224207208, 0.48503465397155998, 0.49419235572344977, 0.50444101416853027, 0.51598279060407615, 0.52907071459082644, 0.54402497483569145, 0.56125561292153225, 0.58129462739258309, 0.60484214549064141, 0.63283400099730569, 0.66654247944461309, 0.70772937103302769, 0.75888282489412628, 0.82358988326354221, 0.90712829784115301, 1.017401559428869, 1.1663504242986096, 1.3717443172642756, 2.5266330017821281, 2.4971231768591098, 1.0209662545705058, 0.56167779984673316, 0.42287700033536851, 0.37219741938343803, 0.35139781597127084, 0.34246225743635761, 0.33872198091258443, 0.33736409179608395, 0.33708674419733575, 0.33724906068391686, 0.33752562180775003, 0.33775247257073293, 0.33785289103461463, 0.33779899905402772, 0.33759058496771199, 0.33724273558439821, 0.33677828532727755, 0.33622308776567078, 0.33560305309011979, 0.33494234985942084, 0.33426239829156129, 0.33358140492490385, 0.33291426064385143, 0.33227267177343395, 0.33166542879918959, 0.33109874423049312, 0.33057661230553492, 0.33010115965970993, 0.3296729684485844, 0.32929136237825324, 0.32895465229125598, 0.32866034199714333, 0.32840529747160574, 0.32818588383667829, 0.32799807504353257, 0.32783754118527114, 0.32769971807059245, 0.32757986322913268, 0.32747310198824692, 0.32737446671939968, 0.32727893183758472, 0.32718144667543703, 0.3270769679629722, 0.32696049334293231, 0.32682709716107394, 0.32667196971857537, 0.3264904612984712, 0.32627813263415328, 0.32603081415308022, 0.32574467741527885, 0.32541632384051289, 0.32504289833013728, 0.32462223912494109, 0.32415308080043082, 0.32363533564401603, 0.32307049133384413, 0.32246218239531454, 0.32181702361829589, 0.32114584276927777, 0.32046553026437619, 0.31980185776004444, 0.31919384771904025, 0.31870068112080852, 0.31841286552706621, 0.3184707650739228, 0.31909628251062783, 0.32064895400258359, 0.3237294086268252, 0.32937957673733931, 0.33949279569016294, 0.35771270966915891, 0.39156878710996385, 0.45804846803407456, 0.59963822407706369, 0.93261910710936846, 1.7368776050821286, 2.8282391159292413, 2.4176292840513165, 1.5748787133385629, 1.1076840072671945, 0.86423547243583565, 0.72591861578415007, 0.64012279902211677, 0.58297664354772039, 0.54271284134318187, 0.51304492684712133, 0.49037560644543587, 0.47252500809809894, 0.45810746564547622, 0.44620598157996144, 0.43619258610021133, 0.42762442041638488, 0.42018113228338405, 0.41362581296706274, 0.40777987433009055, 0.40250647024809155, 0.39769932571133459, 0.3932750992944517, 0.38916813825258451, 0.38532693182680677, 0.38171185900022475, 0.37829404038104414, 0.37505529632806656, 0.3719894408799459, 0.36910548447312513, 0.36643392872462421, 0.36403853538470698, 0.36203848424380497, 0.36065155707486996, 0.36028288586473523, 0.36172054326816622, 0.36660673134773375, 0.37870964510970195, 0.40790171877941911, 0.48520652658264563, 0.73221958961459033, 1.5392462536488341, 1.5706654580266124, 0.88607387560473605, 0.62753928993879415, 0.52240675298493078, 0.47105216095636848, 0.44302812070547559, 0.42721881607700357, 0.41900958309221614, 0.41645473166681224, 0.41814825682578888, 0.42346151803621573, 0.43317540271678484, 0.44892044512111901, 0.47391086964907037, 0.51473729771898291, 0.5861395213653644, 0.72514520501217217, 1.0329954899485698, 1.6640251054103088, 1.6746488022418278, 0.91619495054961886, 0.58178435287830388, 0.45846127758234628, 0.40654004327313353, 0.3820749081674617, 0.36976458158492526, 0.36346073058458095, 0.3603817541168356, 0.35914641279028492, 0.35901669309529172, 0.35957460483335579, 0.36057209388513273, 0.36185634168848546, 0.363330372474713, 0.3649312401469294, 0.36661743545629083, 0.36836135059403274, 0.37014462809319704, 0.37195521208880317, 0.37378543546397952, 0.37563075490121611, 0.37748890150440018, 0.37935930433919579, 0.38124269736543165, 0.38314085252208935, 0.38505640182816053, 0.38699272418142866, 0.38895388091677352, 0.39094458982231944, 0.39297023123977681, 0.39503688274688575, 0.39715138116064264, 0.39932141250375652, 0.40155563236345293, 0.4038638209278802, 0.40625707908930592, 0.40874807455629364, 0.41135135016555591, 0.41408371085717377, 0.41696471153599607, 0.42001727594631105, 0.42326848771351444, 0.42675061031281492, 0.43050241514147203, 0.43457092955153637, 0.43901376510209961, 0.44390225919315568, 0.4493257750558457, 0.45539767996259733, 0.46226380097325054, 0.47011461460069282, 0.47920319369022935, 0.48987225817234337, 0.50259603134811481, 0.51804693838991556, 0.53720546427657845, 0.56154795104311417, 0.5933812503731849, 0.6364669050719628, 0.69724200080830923, 0.78730824511964437, 0.9285427842518762, 1.1620515373924361, 1.5463054224308943, 2.0079387814855592, 1.9473010241696513, 1.3075298309669501, 0.83402531490555154, 0.60039530018513554, 0.48793902346862955, 0.43080003364652314, 0.40009404467910514, 0.38287770959096828, 0.37296390294942272, 0.36719381349715929, 0.36385798539142, 0.36198408844896679, 0.3609951506476603, 0.36053620652434637, 0.36038204666066542, 0.36038611514398683, 0.36045131603846486, 0.36051306162096997, 0.36052956266105279, 0.36047677993013094, 0.36034682902434706, 0.36014955379700014, 0.35991781415802276, 0.35971808278192641, 0.35966963969570381, 0.35997878181122145, 0.36100069151293079, 0.36335472528395074, 0.36814805066789552, 0.37743127033232809, 0.39518199205266685, 0.42957341729665854, 0.49858838459677923, 0.64470560065204097, 0.97154330705541703, 1.6808575003615094, 2.6540074079459597, 2.707095324092597, 2.0634628019242438, 1.5549545590268872, 1.2473776211803616, 1.0601954867841366, 0.94034595856243763, 0.8597307365441732, 0.80336477101071135, 0.76288783102525459, 0.73341351794850218, 0.71197524804709478, 0.69672687589851678, 0.68651373231516033, 0.68063555466754255, 0.67871576635744868], [0.43874022191211004, 0.44176295154049838, 0.45153662530140815, 0.47062801933675058, 0.50535304853891949, 0.57180797650651649, 0.71748926688568859, 1.1027382470958778, 1.7882223054972357, 1.0692489199042596, 0.5876764700437076, 0.45137815533083109, 0.40522283055541308, 0.38715101729920098, 0.37979782050358019, 0.37716728221285567, 0.37683465776712677, 0.37770076310520734, 0.37922484481475599, 0.38112567060218383, 0.38325250053680948, 0.3855247016249243, 0.38790162791866889, 0.39036685374048252, 0.392919660465193, 0.3955704147782334, 0.39833817197683596, 0.40124965656078027, 0.40433919437004923, 0.40764940737170502, 0.41123263392880943, 0.4151531565340732, 0.41949043889944032, 0.42434372379015867, 0.42983855689957129, 0.43613613307489291, 0.4434468987662607, 0.45205075009919565, 0.46232774361703161, 0.4748060826638108, 0.49023947403927615, 0.50973636692871294, 0.53498492288033384, 0.56866364392735991, 0.61523314552673536, 0.68256235193806702, 0.78551292032279907, 0.95441907739112186, 1.2558482441779237, 1.833064936326299, 2.8053749715295191, 3.0963338318291083, 1.9136733689569592, 1.069400329805734, 0.69509974302508659, 0.52445748884844168, 0.43888007209392838, 0.39217792042282168, 0.36495172917791685, 0.3482548201493097, 0.33760697414007962, 0.33060612251936339, 0.32589008565962885, 0.32264977757538438, 0.32038575001199388, 0.3187795658188145, 0.31762258302287727, 0.31677491001705882, 0.31614091876271766, 0.31565419762921837, 0.31526807202796653, 0.31494951403902066, 0.31467517975297488, 0.31442882888826634, 0.31419968281697214, 0.31398146256788145, 0.31377197193312312, 0.31357318538310436, 0.31339188997527329, 0.31324103814705162, 0.31314212561714505, 0.31312916829703186, 0.31325531372798382, 0.3136039877323713, 0.31430817653114801, 0.31558494950498051, 0.317799958281206, 0.32159433283803351, 0.32815052094398778, 0.33979388446428183, 0.36149182609879821, 0.40507588303971281, 0.50314746708648828, 0.76430364770149217, 1.6065529548940503, 3.2466658280575871, 2.1414095527270658, 1.1812385383555071, 0.81323624866811572, 0.6479309287306092, 0.56032991984036684, 0.5080850025828727, 0.47419045350131406, 0.45079871452372167, 0.43388140289626476, 0.42119292454206309, 0.41139719973120387, 0.4036563755908425, 0.39742184459785118, 0.39232121303265416, 0.38809389024972862, 0.38455272567329002, 0.38156027783593666, 0.37901364547628424, 0.37683449012466042, 0.37496230635652522, 0.37334978074065389, 0.37195952776484587, 0.37076175403349593, 0.36973256111635244, 0.36885269613190269, 0.36810662182607357, 0.36748181856572087, 0.36696825757462392, 0.3665580028931521, 0.36624491202790288, 0.36602441402233815, 0.36589334997993145, 0.36584986573719536, 0.36585696009135876, 0.36587825865322093, 0.36591380799244017, 0.36596368596416795, 0.36602800206994657, 0.36610689796750212, 0.36620054813415198, 0.36630916068989189, 0.36643297838783973, 0.36657227978131834, 0.36672738057870863, 0.36689863519909488, 0.3670864385440471, 0.36729122800307745, 0.36751348571334347, 0.36775374109688069, 0.36801257370241985, 0.36829061638257221, 0.36858855884178704, 0.36890715159561732, 0.3692472103877158, 0.36960962111800516, 0.36999534534320672, 0.37040542642032953, 0.37084099637445045, 0.37130328358468045, 0.37179362139710331, 0.37231345779084207, 0.3728643662440399, 0.37344805797090136, 0.37406639573000172, 0.37472140943867843, 0.3754153138697931, 0.37615052875700139, 0.37692970169481049, 0.37775573429263898, 0.37863181213063773, 0.37956143917348034, 0.3805484774310951, 0.38159719281939275, 0.3827123083769241, 0.38389906624635173, 0.38516330014616251, 0.38651152045658499, 0.38795101454822717, 0.38948996562497784, 0.39113759417697164, 0.3929043272038022, 0.39480200175176039, 0.3968441111218256, 0.39904610449869271, 0.40142575393877938, 0.40400360693796283, 0.4068035486087318, 0.40985350545543814, 0.41318633375853853, 0.41684095101952667, 0.4208637908160604, 0.42531069288332507, 0.43024938609945779, 0.43576278992402451, 0.44195346195237928, 0.44894967565641686, 0.4569138566586981, 0.46605449557673501, 0.47664329174513131, 0.48904034781483818, 0.5037320709498645, 0.52138969795998868, 0.54296235873158361, 0.56983004460656783, 0.60406465088850614, 0.64889477819240804, 0.70957387120212456, 0.79508933185383412, 0.92171404517572708, 1.1207027694356366, 1.4545588621485832, 2.0388989678368743, 2.9386676645049579, 3.3833803141230767, 2.4194874076837651, 1.4194214397535738, 0.90287875873885837, 0.65627840425345907, 0.53243561542081108, 0.46663589053599219, 0.43046425784431414, 0.41059909267466166, 0.400349722631196, 0.39615385654396268, 0.39602915840486863, 0.39884242957811178, 0.40394426300829689, 0.41097759308444454, 0.41977388730802168, 0.43029598666412089, 0.44260720124863817, 0.45685615262709811, 0.4732718365167371, 0.49216600727499904, 0.51394142358275496, 0.53910528268373092, 0.56828754112989943, 0.60226382611660523, 0.64198219465165607, 0.68859185576663173, 0.7434696950114672, 0.8082363493489757, 0.88474677427513249, 0.97502988460999918, 1.081138096710385, 1.2048538845705883, 1.3471976764292639, 1.5077128043408285, 1.6836028314951501, 1.8689843429687407, 2.0547364498759699, 2.2294773795501275, 2.3818175305292759, 2.5032403404561872, 2.5903143958168373, 2.6451529896376114, 2.6740642422667604, 2.6852833059195085, 2.6868357623969592, 2.6850975614241972, 2.6840674161344884, 2.6850975614241706, 2.6868357623969383, 2.6852833059195067, 2.6740642422667467, 2.6451529896376784, 2.5903143958167814, 2.5032403404562018, 2.3818175305292635, 2.2294773795502318, 2.054736449875961, 1.8689843429685775, 1.6836028314949578, 1.5077128043410004, 1.3471976764292708, 1.2048538845706818, 1.0811380967104303, 0.97502988461001161, 0.88474677427504056, 0.8082363493490915, 0.74346969501151527, 0.68859185576662318, 0.64198219465169415, 0.60226382611658968, 0.56828754112989854, 0.53910528268373081, 0.51394142358275519, 0.49216600727499765, 0.4732718365167275, 0.45685615262710422, 0.4426072012486541, 0.43029598666411806, 0.41977388730802434, 0.41097759308445103, 0.40394426300830188, 0.39884242957811222, 0.39602915840486019, 0.3961538565439629, 0.40034972263119545, 0.41059909267466044, 0.43046425784429987, 0.46663589053600374, 0.53243561542081552, 0.65627840425348982, 0.90287875873911938, 1.4194214397537026, 2.4194874076845148, 3.3833803141224692, 2.9386676645051781, 2.0388989678372846, 1.4545588621490435, 1.1207027694356262, 0.92171404517553179, 0.79508933185378305, 0.70957387120223214, 0.64889477819242192, 0.60406465088849559, 0.56983004460654318, 0.54296235873156362, 0.5213896979599737, 0.50373207094985373, 0.48904034781482347, 0.47664329174513009, 0.46605449557673628, 0.45691385665869905, 0.44894967565641736, 0.44195346195238233, 0.43576278992402562, 0.43024938609945279, 0.42531069288331952, 0.4208637908160654, 0.41684095101952545, 0.41318633375853775, 0.40985350545544103, 0.40680354860873547, 0.40400360693796605, 0.40142575393877805, 0.39904610449869077, 0.3968441111218256, 0.39480200175175723, 0.39290432720380203, 0.39113759417697397, 0.38948996562497529, 0.38795101454822362, 0.38651152045658277, 0.38516330014616285, 0.38389906624635312, 0.3827123083769246, 0.3815971928193912, 0.38054847743109171, 0.3795614391734799, 0.3786318121306379, 0.37775573429263748, 0.37692970169480861, 0.37615052875699995, 0.37541531386979476, 0.37472140943867877, 0.37406639572999872, 0.37344805797090036, 0.3728643662440369, 0.37231345779084046, 0.37179362139710381, 0.37130328358468057, 0.37084099637444917, 0.3704054264203292, 0.36999534534320544, 0.36960962111800461, 0.36924721038771846, 0.36890715159561654, 0.36858855884178965, 0.36829061638257354, 0.3680125737024208, 0.36775374109687975, 0.36751348571334486, 0.36729122800308128, 0.36708643854404632, 0.36689863519909677, 0.3667273805787083, 0.36657227978131879, 0.36643297838784, 0.36630916068989156, 0.36620054813415132, 0.3661068979675034, 0.36602800206994501, 0.36596368596416845, 0.36591380799244122, 0.36587825865322254, 0.36585696009135893, 0.3658498657371918, 0.36585341247144521, 0.36586405510569608, 0.36588180093844141, 0.36590666214716866, 0.36593865580842733, 0.36597780392600765, 0.36602413346729823, 0.36607767640800448, 0.36613846978533465, 0.36620655575981192, 0.36628198168597464, 0.36636480019214152, 0.36645506926957055, 0.36655285237124036, 0.36665821852067193, 0.3667712424311117, 0.36689200463551419, 0.36702059162777428, 0.3671570960157341, 0.36730161668644673, 0.36745425898443018, 0.36761513490342618, 0.36778436329246017, 0.36796207007700271, 0.36814838849601816, 0.36834345935588619, 0.36854743130215878, 0.36876046111032168, 0.36898271399666099, 0.36921436395059548, 0.3694555940898982, 0.36970659704030318, 0.36996757534120428, 0.37023874187925043, 0.3705203203518852, 0.37081254576290806, 0.37111566495253451, 0.37142993716444972, 0.37175563465277212, 0.37209304333197668, 0.37244246347314514, 0.3728042104503736, 0.37317861554125847, 0.3735660267860918, 0.3739668099105668, 0.3743813493175161, 0.3748100491535743, 0.37525333445738074, 0.37571165239658239, 0.37618547360166632, 0.37667529360553453, 0.37718163439861674, 0.37770504611050215, 0.37824610883019838, 0.37880543457852983, 0.37938366944770108, 0.37998149592485631, 0.38059963541826725, 0.38123885100725269, 0.38189995043921593, 0.38258378940020887, 0.38329127508866495, 0.38402337012560311, 0.38478109683901929, 0.38556554196484405, 0.38637786181267691, 0.38721928795071503, 0.38809113347190533, 0.38899479991169933, 0.38993178489786884, 0.39090369062413405, 0.39191223325278213, 0.392959253366923, 0.39404672761111309, 0.3951767816802958, 0.39635170484184351, 0.39757396620476859, 0.39884623298459343, 0.40017139105332739, 0.40155256811229578, 0.40299315988338213, 0.40449685978299854, 0.40606769262561099, 0.4077100530029919, 0.40942874910476285, 0.4112290528910123, 0.4131167577036774, 0.4150982446185762, 0.41718055910334256, 0.41937149987100009, 0.42167972221988353, 0.42411485864891074, 0.42668766015933651, 0.42941016243477076, 0.43229588207626768, 0.43536004931901823, 0.43861988525276119, 0.44209493361646768, 0.44580745988660442, 0.44978293382563311, 0.454050616176019, 0.45864427615499415, 0.46360307435238168, 0.46897265630579338, 0.4748065164831316, 0.48116771216916293, 0.48813103405044295, 0.4957857783868273, 0.50423931941002154, 0.51362175733101934, 0.52409202826644996, 0.53584602485272048, 0.54912751755296596, 0.56424303010921151, 0.58158237852035577, 0.60164744669270487, 0.62509313547164713, 0.65278660824334434, 0.68589451333265028, 0.72601371696443839, 0.77537076150520301, 0.83713112917348276, 0.91588431364350997, 1.0184047910117, 1.1548132173901857, 1.3401689537969943, 1.5958485666553979, 1.947080784199859, 3.1514696431755942, 1.7145020342614163, 0.77582320777788927, 0.50542872772699343, 0.41391582719892384, 0.37782158683143491, 0.36239206754275261, 0.35570345424470828, 0.35299180195261459, 0.3521307711021604, 0.3520939858257609, 0.35236093476175318, 0.35266296395612562, 0.35286515399336948, 0.35290715629350589, 0.35277144058948012, 0.35246511695595339, 0.3520089285856004, 0.35143030917968193, 0.35075892128111752, 0.35002381440817698, 0.34925169325921879, 0.34846596399208479, 0.34768632367753799, 0.3469287180686047, 0.34620553544391958, 0.34552593766463741, 0.34489625679384439, 0.34432040771645411, 0.3438002846377366, 0.34333612257689822, 0.342926814569329, 0.34257018189111943, 0.34226319887480228, 0.34200217639527142, 0.34178290937624023, 0.34160079410449767, 0.34145092104500607, 0.34132814844289761, 0.34122716142811904, 0.34114252070276296, 0.34106870425256092, 0.34100014492002645, 0.34093126613268526, 0.34085651761238422, 0.3407704125182654, 0.34066756721571118, 0.34054274474280427, 0.3403909031004051, 0.34020724977185757, 0.33998730445352121, 0.33972697294705967, 0.33942263667319733, 0.33907126452804093, 0.33867055714213384, 0.33821913852098617, 0.3377168173346467, 0.33716495104769723, 0.33656696269575115, 0.33592908581890768, 0.33526145357683307, 0.33457971322058982, 0.33390745413926792, 0.33327991770731202, 0.33274976763752395, 0.33239625022799379, 0.33234008140227261, 0.33276830591715068, 0.33397713358998166, 0.33644849930081377, 0.34099286405925711, 0.34902926985753929, 0.36316809068464379, 0.38851172591621835, 0.43580652502304801, 0.5298153525837952, 0.73343049885119849, 1.2135038331613428, 2.2496013686088729, 2.9960428808810935, 2.2344023962085302, 1.4882313640890108, 1.0872662682880683, 0.87015491366883535, 0.74218851683180809, 0.66053816832310142, 0.60498333935280246, 0.5652001526502991, 0.53551430614157358, 0.51260394920342711, 0.49441863923913715, 0.47963510981365864, 0.46736657361839729, 0.45699929023660363, 0.44809652951502449, 0.44033993741236449, 0.4334925313176774, 0.42737466925781376, 0.42184806361025717, 0.41680494182976091, 0.41216060804372157, 0.40784833824885697, 0.4038159625436043, 0.40002376985901178, 0.39644358828402892, 0.39305910498305341, 0.3898677578807046, 0.38688495748324353, 0.38415217788967804, 0.38175202096412697, 0.37983672301687321, 0.37868432328229829, 0.37881596526080991, 0.38126007756843, 0.38820728615988986, 0.40484615035112481, 0.44539445744051437, 0.55725399522430241, 0.9313312018872002, 1.8075494510447789, 1.2996300225559188, 0.78649389167146533, 0.59786175489804794, 0.51628154303840157, 0.47524455137996996, 0.45324109755129333, 0.44214674963864048, 0.43874022191211004, 0.44099582191239983, 0.44813468712292515, 0.46142985814229387, 0.48364476706607928, 0.52055782938162354, 0.58500632961596333, 0.70866166027659827, 0.97729602740109356, 1.5551885751624455, 1.7774630270071983, 1.0260599691035086, 0.63625372809780778, 0.49200831743205059, 0.43199518786202162, 0.40393621562247523, 0.38984510581375048, 0.38259401091112738, 0.37899340359839367, 0.37747219434055829, 0.37719572573534443, 0.37769315724497909, 0.37868584336148203, 0.38000245236592817, 0.3815344169397849, 0.38321135113684429, 0.38498689316347579, 0.38683024787637649, 0.38872097222160373, 0.39064567170359099, 0.3925958586537418, 0.39456653686776461, 0.39655525213512249, 0.39856144881715905, 0.40058603217972155, 0.40263107235963597, 0.40469960836978947, 0.40679552492060922, 0.40892348424541436, 0.41108890145938215, 0.41329795641827527, 0.41555763830244369, 0.41787582171398463, 0.42026137527303642, 0.42272430578511216, 0.42527594324020312, 0.42792917440969697, 0.43069873586661411, 0.43360158116957548, 0.43665734212234486, 0.43988891101204697, 0.44332318035760149, 0.44699199016542435, 0.45093335180572003, 0.45519304515448761, 0.45982672590546753, 0.46490273976440433, 0.47050593061021656, 0.47674286878336319, 0.48374914396673685, 0.49169971725345829, 0.50082390189322623, 0.51142751070395986, 0.52392638618436704, 0.53889852754971423, 0.5571675684509626, 0.57994097210599316, 0.60904744020416324, 0.64736176354537422, 0.69959899067095155, 0.77386328761159806, 0.88475486875393694, 1.0593922206921738, 1.3454488109365581, 1.7887037983491469, 2.1968679060299223, 1.9333488392377389, 1.2688379367221088, 0.83243353432138367, 0.61502341272043337, 0.5071287001235274, 0.45076735194795609, 0.41980659272460208, 0.40215213459139515, 0.39185897889643195, 0.3858210727874416, 0.38232504779314552, 0.38038048775300309, 0.37939141294952822, 0.37898651743154838, 0.37892734594001881, 0.37905664985927945, 0.37926839999740131, 0.37948998043130938, 0.37967155315420509, 0.37977990048213445, 0.37979533238269692, 0.37971102951942137, 0.37953477165909116, 0.37929357132176617, 0.37904248704796906, 0.37888010927653548, 0.37897540607054292, 0.37961482873921987, 0.38128707430370601, 0.38484086580660004, 0.39179102421478335, 0.40494164814934885, 0.42972697253990899, 0.47727440039258567, 0.57180042612353554, 0.7687526788850263, 1.1915359874243108, 2.0096061457350523, 2.8696729926544746, 2.7685148805982385, 2.1602971252988619, 1.6789598851141772, 1.3735016245523088, 1.1802577963378944, 1.0532259338127885, 0.96638221733890761, 0.90520145572288979, 0.86132908388478535, 0.8297924606857553, 0.80755580996165, 0.79275206535901788, 0.7842641671994155, 0.78149713046956704], [0.46391895001150762, 0.46810296556334979, 0.48185724210047298, 0.5097212662712205, 0.56372432613333368, 0.67806897988921733, 0.96483805634837827, 1.6405825989325906, 1.3449912837500206, 0.69702189561737216, 0.50172376257895901, 0.43777007336900114, 0.41304758936579528, 0.4027594550774215, 0.39867893922289344, 0.39757368049760788, 0.39800675757829435, 0.39928001576673877, 0.40103266563249951, 0.40307124789174609, 0.40529114254649062, 0.40763779016711993, 0.41008650571766092, 0.41263158605417855, 0.41528034837949412, 0.41804994762137282, 0.42096587527675866, 0.42406157809749867, 0.42737892871724764, 0.43096946043236711, 0.43489641012929614, 0.4392377355136467, 0.44409041542766581, 0.44957653798949482, 0.45585197728325122, 0.4631189321977241, 0.47164438666905784, 0.4817879010038274, 0.49404454511090257, 0.50911321162822165, 0.5280090429185802, 0.55225575570116825, 0.58422962083608621, 0.62780711975437486, 0.68965864844512303, 0.78201106168483359, 0.92897449907647256, 1.1817993201791861, 1.652830100564064, 2.519748407976131, 3.3396387198164823, 2.5082186787305107, 1.3923939243910886, 0.85043718518570588, 0.60804119155309155, 0.49021946285838314, 0.42760694935472687, 0.39184243177179823, 0.37023955401373709, 0.35661431886843353, 0.34772511155779634, 0.34176764422604777, 0.3376866688695434, 0.33483909339638801, 0.3328192572405263, 0.33136371676728316, 0.33029711148348306, 0.32950024148760293, 0.32889063986399941, 0.32841042500389217, 0.32801853065994474, 0.32768564745829981, 0.32739089422902506, 0.32711963023376345, 0.32686205337802482, 0.32661237614254091, 0.32636847061747076, 0.32613195176677162, 0.3259087425864774, 0.32571025475383308, 0.32555544880050447, 0.32547425049650203, 0.32551317259236656, 0.32574467758318393, 0.3262831406305568, 0.32731294318738913, 0.32913990130251136, 0.33229000526011121, 0.33771023527827437, 0.34720671444630141, 0.36448761739878394, 0.39793314438690053, 0.46905774128141736, 0.64331181812645954, 1.1621753293661912, 2.7258720057111225, 2.9657622425203698, 1.5647346432839984, 0.98198155872509418, 0.74028810678898394, 0.62028756872600355, 0.55195661530282203, 0.50908044855898849, 0.48021511391043126, 0.45973190673168862, 0.44459618812791485, 0.43304985085187425, 0.42401399601963979, 0.4167947155873476, 0.41092800620920361, 0.40609328646412501, 0.4020628282237203, 0.39867096765109389, 0.39579469421452051, 0.39334103634951689, 0.3912386433668037, 0.38943203477778832, 0.38787758984396681, 0.38654069928742807, 0.38539370977287374, 0.38441441985596825, 0.38358496663428099, 0.38289099411858596, 0.38232102832994913, 0.38186600688239436, 0.38151892634813311, 0.3812745815354171, 0.38112937854558426, 0.38108120916944421, 0.38108906676064691, 0.38111265708046704, 0.3811520328505752, 0.38120728221790356, 0.38127852917361382, 0.38136593414505521, 0.38146969476631626, 0.38159004683460163, 0.38172726546156466, 0.38188166643067145, 0.38205360777386366, 0.38224349158307741, 0.38245176607494241, 0.38267892792965758, 0.38292552492866833, 0.38319215891908731, 0.38347948913733054, 0.38378823592901373, 0.38411918490774255, 0.38447319160171256, 0.38485118664423501, 0.38525418157289021, 0.38568327531154967, 0.38613966142108702, 0.38662463621784743, 0.38713960787451357, 0.38768610663645697, 0.38826579630830965, 0.38888048719121049, 0.38953215068167302, 0.39022293577949546, 0.390955187795686, 0.39173146960376531, 0.39255458584093955, 0.39342761054211123, 0.39435391878269987, 0.39533722301963525, 0.39638161495921231, 0.39749161395182531, 0.39867222312610223, 0.39992899473893817, 0.40126810654846923, 0.40269645143259802, 0.40422174300149177, 0.40585264062153908, 0.40759889812553718, 0.40947154158898358, 0.41148308298787867, 0.41364777843117306, 0.41598194213760004, 0.418504330619277, 0.42123661595173822, 0.42420397299134271, 0.42743581358099686, 0.43096671209160808, 0.43483758245208304, 0.43909718918442592, 0.44380410701716017, 0.44902929024579102, 0.45485948176259483, 0.46140179478586996, 0.4687899576863559, 0.47719295711771992, 0.48682720349492159, 0.49797397464872056, 0.5110049458846011, 0.52642041632451864, 0.54490802008089712, 0.56743550850981195, 0.59540215917535877, 0.63089497370235448, 0.67714028364284218, 0.73933714761425329, 0.8262745156113489, 0.95363445218776299, 1.1510150696657213, 1.4765735459229459, 2.0381842098426284, 2.9257783997616253, 3.5571597923559413, 2.7636665846667707, 1.6560566209465655, 1.0368573015245748, 0.73641565099564943, 0.58532698480665835, 0.50500842256108469, 0.46064849287935039, 0.43595918021272156, 0.42279591205904327, 0.4168405488496561, 0.41569739169615877, 0.41799854149084809, 0.42295882979902649, 0.4301437085856506, 0.43934401442386251, 0.45050744126946651, 0.46370191529031879, 0.47909820227462735, 0.49696519885728579, 0.51767461502657586, 0.54171358520553259, 0.56970481586908406, 0.60243447304718412, 0.6408881800468389, 0.68629506485106839, 0.74017831157173908, 0.80440722632247308, 0.88123882337841286, 0.973323824944895, 1.0836293803651187, 1.2151962032942165, 1.3706052937302269, 1.5510039708020278, 1.7546021887750762, 1.9748226101062241, 2.198866677481019, 2.4081231251525432, 2.5817528626736888, 2.7030068373713085, 2.7651565794568045, 2.7732975196630001, 2.7411830401741937, 2.685735991959123, 2.622494063444627, 2.5633959841034333, 2.5165105154504066, 2.4867123725994462, 2.4765230214656615, 2.4867123725992677, 2.5165105154500802, 2.5633959841034524, 2.6224940634445995, 2.6857359919589983, 2.7411830401742194, 2.773297519662993, 2.7651565794567903, 2.7030068373713632, 2.5817528626736719, 2.4081231251523696, 2.1988666774807784, 1.9748226101064539, 1.7546021887750889, 1.5510039708021646, 1.3706052937302891, 1.2151962032942376, 1.0836293803649895, 0.9733238249450612, 0.88123882337848347, 0.80440722632246275, 0.74017831157179048, 0.68629506485104885, 0.6408881800468369, 0.60243447304718367, 0.56970481586908372, 0.54171358520553137, 0.51767461502656442, 0.49696519885729362, 0.47909820227464689, 0.46370191529031507, 0.45050744126947001, 0.439344014423871, 0.43014370858565587, 0.42295882979902782, 0.41799854149083915, 0.41569739169615838, 0.41684054884965677, 0.42279591205904171, 0.43595918021271218, 0.46064849287936049, 0.50500842256108824, 0.585326984806677, 0.73641565099580464, 1.0368573015246401, 1.6560566209471514, 2.7636665846658159, 3.55715979235557, 2.9257783997620432, 2.0381842098433856, 1.4765735459229221, 1.1510150696654187, 0.95363445218768839, 0.82627451561150711, 0.7393371476142756, 0.67714028364283119, 0.63089497370231951, 0.59540215917533357, 0.56743550850979374, 0.54490802008088346, 0.52642041632450087, 0.51100494588459944, 0.49797397464872295, 0.48682720349492242, 0.47719295711772042, 0.46878995768635995, 0.46140179478587168, 0.45485948176258906, 0.44902929024578458, 0.44380410701716611, 0.43909718918442486, 0.43483758245208215, 0.43096671209161175, 0.42743581358100063, 0.42420397299134632, 0.42123661595173667, 0.41850433061927494, 0.41598194213759987, 0.41364777843116962, 0.41148308298787867, 0.40947154158898608, 0.40759889812553429, 0.40585264062153548, 0.40422174300148933, 0.40269645143259852, 0.40126810654847034, 0.39992899473893889, 0.39867222312610057, 0.3974916139518217, 0.39638161495921131, 0.39533722301963536, 0.39435391878269838, 0.39342761054210906, 0.39255458584093789, 0.39173146960376698, 0.39095518779568644, 0.39022293577949185, 0.38953215068167207, 0.38888048719120727, 0.38826579630830821, 0.38768610663645725, 0.38713960787451346, 0.38662463621784604, 0.38613966142108647, 0.38568327531154833, 0.38525418157288965, 0.38485118664423795, 0.38447319160171167, 0.38411918490774544, 0.38378823592901545, 0.38347948913733176, 0.3831921589190862, 0.38292552492867016, 0.38267892792966174, 0.38245176607494175, 0.38224349158307974, 0.38205360777386338, 0.38188166643067184, 0.38172726546156527, 0.38159004683460135, 0.38146969476631559, 0.38136593414505621, 0.3812785291736121, 0.38120728221790418, 0.38115203285057636, 0.38111265708046849, 0.38108906676064702, 0.38108120916944044, 0.38108513746517192, 0.38109692512210758, 0.38111658045421365, 0.38114411733381753, 0.38117955521527636, 0.3812229191682116, 0.38127423992040138, 0.38133355391053742, 0.38140090335099097, 0.38147633630077638, 0.38155990674902601, 0.38165167470920425, 0.38175170632444938, 0.38186007398433336, 0.38197685645354323, 0.38210213901287909, 0.38223601361310572, 0.38237857904220884, 0.38252994110669436, 0.3826902128275359, 0.38285951465164825, 0.38303797467954198, 0.38322572891012469, 0.38342292150363488, 0.38362970506368066, 0.38384624093959657, 0.38407269955030632, 0.38430926073112981, 0.38455611410491181, 0.38481345947914103, 0.38508150727082657, 0.38536047896100012, 0.3856506075809481, 0.38595213823243851, 0.38626532864446789, 0.38659044976915091, 0.38692778641981623, 0.38727763795445519, 0.38764031900815865, 0.38801616027837449, 0.38840550936722351, 0.38880873168567148, 0.38922621142453051, 0.38965835259810305, 0.39010558016656099, 0.39056834124404161, 0.39104710639993367, 0.39154237106176953, 0.39205465702895337, 0.392584514107572, 0.39313252187766939, 0.39369929160552974, 0.39428546831504868, 0.39489173303374953, 0.39551880523084543, 0.3961674454667411, 0.39683845827572045, 0.397532695305993, 0.39825105874447958, 0.39899450505680117, 0.3997640490769232, 0.40056076848522953, 0.40138580871870261, 0.40224038836278103, 0.40312580508077639, 0.4040434421445539, 0.4049947756386183, 0.40598138242004844, 0.40700494892812755, 0.40806728095124711, 0.40917031447419688, 0.4103161277473879, 0.41150695474094473, 0.41274520017167504, 0.4140334563204543, 0.41537452189228385, 0.41677142321237559, 0.41822743810016394, 0.41974612282112128, 0.42133134258500965, 0.42298730614182339, 0.42471860512551962, 0.42653025891481189, 0.42842776592454063, 0.43041716241562361, 0.43250509012479937, 0.43469887427551657, 0.43700661385130202, 0.43943728640736734, 0.44200087018529505, 0.44470848690455705, 0.44757256936676731, 0.45060705896769726, 0.45382763942528243, 0.45725201457576531, 0.46090024006631397, 0.46479512131893502, 0.4689626934418718, 0.47343280307688596, 0.47823981784344705, 0.48342349656023553, 0.48903006347591782, 0.49511354328867252, 0.50173743216411049, 0.50897680526988598, 0.51692099645419454, 0.52567703491972395, 0.53537409354062115, 0.54616930361688887, 0.55825543636971919, 0.57187116570526719, 0.5873149465570191, 0.60496402740491695, 0.62530085998212448, 0.64895033083894305, 0.67673307934437632, 0.70974312134387552, 0.74946279580824249, 0.79793588713937758, 0.85803248990198844, 0.93385913666637554, 1.0313958832851871, 1.1594684433291331, 1.331127016319442, 1.5651383553801872, 1.8856057657730076, 2.3116795974026263, 2.8148859758087612, 2.7631825927093603, 1.1772759251755991, 0.6435846922091335, 0.47605860442551412, 0.41348543739553179, 0.38729894004603854, 0.37581113360298291, 0.37087296268660441, 0.36900107976484792, 0.36855957533293676, 0.3687282282356697, 0.36908018020980693, 0.36939268394745145, 0.36955542436209576, 0.36952279260001641, 0.36928725333001333, 0.36886347891087162, 0.36827836619986287, 0.36756452607589657, 0.36675599347637799, 0.36588545615461204, 0.36498256635312765, 0.36407303386030238, 0.36317827425329574, 0.36231543612471584, 0.36149766999995747, 0.36073453459359028, 0.36003246429578017, 0.3593952453614932, 0.35882446714330418, 0.35831992908552901, 0.35787999459066266, 0.35750188995566479, 0.35718195107477679, 0.35691582318771764, 0.35669862018563669, 0.35652505032325943, 0.35638951496060067, 0.35628618641066728, 0.35620907026222259, 0.35615205678257017, 0.3561089652488777, 0.35607358434481834, 0.35603971111629501, 0.35600119042069095, 0.35595195634445764, 0.35588607672159633, 0.35579780168579633, 0.35568161716545654, 0.35553230443013428, 0.3553450072827895, 0.35511530935256913, 0.3548393253033128, 0.35451381181513897, 0.35413630719328426, 0.35370531282586165, 0.3532205360993374, 0.35268322381473083, 0.35209662928022345, 0.35146667778312163, 0.35080292853890294, 0.35011998403945727, 0.34943958302023514, 0.3487937540640213, 0.34822964485021829, 0.34781705489495451, 0.34766043652836315, 0.34791848669612313, 0.34883704489741718, 0.35080616597228598, 0.35446295597388588, 0.3608852403970832, 0.37197569208481884, 0.39127158655110844, 0.42577814869229275, 0.49047296756560727, 0.62035253041795313, 0.9042049811377435, 1.5584087489570484, 2.724677617762898, 3.0003681792870394, 2.1129332989326071, 1.4504194705604607, 1.0916363043735431, 0.89030309826255061, 0.7679620711782229, 0.68807515043172873, 0.63276636942923059, 0.59263059114147298, 0.56237239756402801, 0.5388312699267076, 0.52002555704817488, 0.5046598291998543, 0.4918566126731313, 0.48100312114109917, 0.47165996028746288, 0.46350474107449841, 0.4562961406751681, 0.44985036695562097, 0.44402539212239711, 0.43871020537784627, 0.43381741568151533, 0.42927818201710566, 0.42503885641973788, 0.4210590066255504, 0.41731071342528331, 0.41377927379494767, 0.41046575904822302, 0.40739240226267298, 0.40461277213590457, 0.402230691160821, 0.40043622117400829, 0.39957725623096124, 0.40031114303703152, 0.40395272717136121, 0.41335945244207356, 0.43549737780790931, 0.49024011128943612, 0.64703189774509273, 1.1713260053759496, 1.8102998597280184, 1.1029718069326782, 0.72487015609501981, 0.58126010330709832, 0.51659933779980483, 0.48428423423039796, 0.46863624442991847, 0.46391895001150762, 0.46703782159598711, 0.47702691297026217, 0.49610652971730995, 0.52934885185754066, 0.58819792223738943, 0.70066516716703553, 0.94174579591375995, 1.4685295178242566, 1.8109301455323212, 1.1149015535704527, 0.68734932975304375, 0.52621022710354703, 0.45934983030885734, 0.42816144013146501, 0.4124847710455905, 0.4043756156142998, 0.40029656018082371, 0.39851103974904412, 0.39809842285204183, 0.39854001477859297, 0.39952909492811067, 0.40087720408977423, 0.40246503326183619, 0.4042153406969205, 0.40607735529474343, 0.40801745591609945, 0.41001342189907442, 0.41205078941101037, 0.41412048932432316, 0.4162172872762524, 0.41833873888771239, 0.42048448379087072, 0.42265576767664015, 0.42485512146156368, 0.42708615156268398, 0.42935341119041548, 0.43166233302420698, 0.43401921071204796, 0.4364312216095303, 0.43890648685878225, 0.44145416783394809, 0.44408460052425103, 0.44680947187669612, 0.44964204473002162, 0.45259744099274862, 0.45569299644413758, 0.45894870533488585, 0.46238777933714748, 0.46603735404602997, 0.46992938819167845, 0.47410181750525227, 0.47860004908325143, 0.48347891663898929, 0.48880526771193206, 0.49466142947145569, 0.50114991436049738, 0.50839990389046086, 0.51657632798062647, 0.52589280675895378, 0.53663046311037244, 0.54916586884219232, 0.56401357081850945, 0.58189256123641298, 0.60383332112879795, 0.63135601657537821, 0.6667781892465654, 0.71376739406711598, 0.77837428941492914, 0.87102969911454242, 1.0104208236259598, 1.2301727988307305, 1.5820666780205086, 2.0718368493515591, 2.3421347299631892, 1.8738928862525115, 1.2217937071226228, 0.82847947089352858, 0.62916813160697671, 0.52699319161479985, 0.47205582723916678, 0.44117549959379027, 0.42325197069602361, 0.41266432749133919, 0.40640215707198613, 0.40277013693132901, 0.40077096794579731, 0.39979538702369416, 0.39945869774079157, 0.39951078204717494, 0.3997846784345056, 0.40016625614089746, 0.40057588294822472, 0.40095718087211768, 0.40127016262378895, 0.40148725063191337, 0.40159139148855549, 0.40157594835605515, 0.40144643326404722, 0.40122454410574199, 0.40095552089826136, 0.40072071742595, 0.40065883008761283, 0.40100208853238611, 0.40213924630578723, 0.40472834937157887, 0.40990565305394416, 0.41968843566097208, 0.43778765708974499, 0.47133036795193117, 0.53469180027769503, 0.65829375374523724, 0.90791433411705547, 1.4115064358163383, 2.2723058780103012, 3.022441003392089, 2.8969518816866557, 2.3425464651417287, 1.874777493413915, 1.5597524336464081, 1.3523253450197852, 1.212560436503515, 1.1157533822668202, 1.0473788351675073, 0.99882545527669997, 0.96490171074459308, 0.94246080218647044, 0.92964504787355795, 0.92547505116913509], [0.50292759713723989, 0.50907341486971147, 0.52973974557664838, 0.57375892783466331, 0.66677657363117615, 0.8895562346769107, 1.4472548762156854, 1.545546387699229, 0.82783599197305557, 0.56778243168334896, 0.48355917592161984, 0.45139812391684303, 0.43790845129605949, 0.43229289635858953, 0.43039982683645817, 0.43041261799790165, 0.43145857466187926, 0.43309025043804728, 0.43506879128026005, 0.43726495465900789, 0.43961057910281853, 0.4420734585136093, 0.44464382495564397, 0.44732694106497328, 0.45013909864693619, 0.45310564322521379, 0.45626031061822975, 0.45964552141263859, 0.46331349334658467, 0.46732818015123223, 0.4717681736866704, 0.47673084667416787, 0.48233819812925904, 0.48874513552824445, 0.49615135455914067, 0.50481867625484222, 0.51509688589764646, 0.52746319306472411, 0.5425841948356448, 0.56141631002312553, 0.58537456775718799, 0.61662826791752212, 0.65864408152957232, 0.71723939381255708, 0.80275394866403904, 0.93482559933908682, 1.1534600712795391, 1.5439027148990889, 2.2633760636733093, 3.2433209267762653, 3.0634823418997703, 1.8316226578288874, 1.075960912539033, 0.73049936909018787, 0.56587521442466193, 0.4803961542486303, 0.43251497708022024, 0.40403162318515823, 0.38627357316987149, 0.37478676259723148, 0.36713518536367218, 0.36191514819851278, 0.35828188169738601, 0.35570813231948289, 0.35385454606373296, 0.35249692443480313, 0.35148380811600366, 0.35071091177708341, 0.35010526681907517, 0.34961513998937849, 0.34920349063037509, 0.34884365684978508, 0.34851648584226114, 0.34820843069862484, 0.34791032249791165, 0.34761664553325777, 0.34732522599739335, 0.34703730999208698, 0.34675807035263184, 0.34649765871055771, 0.34627303003000071, 0.34611094539436643, 0.34605286710641769, 0.34616301932159904, 0.34654194601232374, 0.34734999107746573, 0.34884946563300229, 0.35148376957818178, 0.35603389240842165, 0.36394838477622871, 0.37809578617968004, 0.40465635803165101, 0.45850308685688435, 0.58108295797520115, 0.91112146594978982, 1.9502048311740552, 3.4818362844614525, 2.1821143947448172, 1.2543268602797262, 0.88429239501308265, 0.71239679552488844, 0.61932730949598069, 0.56302518194209383, 0.52613301795968415, 0.50048689226324306, 0.48183750699541145, 0.46779114737013672, 0.45691190273887072, 0.44829340555193908, 0.44133901512524598, 0.43564194795806827, 0.43091650632479539, 0.42695688470429949, 0.42361156464423738, 0.42076688016206959, 0.41833616941755458, 0.41625243531583855, 0.41446327109292813, 0.41292728409266377, 0.41161153271540757, 0.41048966259567554, 0.40954053458196504, 0.40874720495615252, 0.40809616250414132, 0.40757675639590785, 0.40718076872684839, 0.40690209934801319, 0.40673654038632978, 0.40668162500346977, 0.40669057462763364, 0.40671744393450315, 0.40676229432642297, 0.40682522847221281, 0.40690639080789243, 0.40700596824431856, 0.40712419108859582, 0.40726133418812338, 0.40741771830849116, 0.40759371175879927, 0.40778973228071913, 0.40800624922041556, 0.40824378600588074, 0.40850292295557133, 0.40878430044869984, 0.40908862249173034, 0.40941666072122962, 0.40976925888897986, 0.4101473378822616, 0.41055190134010994, 0.41098404193543236, 0.41144494840369766, 0.41193591341101948, 0.41245834236912193, 0.41301376332155176, 0.41360383804536321, 0.41423037453609807, 0.41489534107164916, 0.41560088208367901, 0.4163493361046004, 0.41714325610531561, 0.41798543259543369, 0.41887891992590037, 0.41982706631644495, 0.42083354823049096, 0.42190240984252114, 0.42303810849262535, 0.42424556720761747, 0.42553023559614372, 0.42689816070916958, 0.4283560698115953, 0.42991146745645104, 0.43157274981615895, 0.43334933994133079, 0.4352518485334036, 0.43729226599729842, 0.43948419307015169, 0.44184311932141429, 0.44438676145165146, 0.44713547681216553, 0.45011277224726476, 0.45334593468648571, 0.45686681854787431, 0.46071283692155285, 0.46492822011127, 0.46956562855269751, 0.47468824063654297, 0.48037248452649445, 0.48671165448189918, 0.49382075891419253, 0.5018431096338215, 0.5109594129875541, 0.52140052064855369, 0.53346563934160041, 0.54754886057391416, 0.56417867588551585, 0.58407829987605642, 0.6082603242980833, 0.63817988755237642, 0.6759912500993831, 0.72499454373723426, 0.79044774104766802, 0.88111211465161487, 1.0123307687097414, 1.2123576153261757, 1.5349527664156861, 2.0763261351659437, 2.921527198802691, 3.6301896437822987, 3.0496588462310887, 1.910870814686894, 1.1979190464669547, 0.8386643285790375, 0.65575226602630754, 0.55795643873899592, 0.50360445861877046, 0.47300531234919346, 0.45628630871585457, 0.44821155421956382, 0.44587638052147049, 0.44762098007832396, 0.45248986615676712, 0.45995026339757034, 0.46974042972300656, 0.48178689335646396, 0.49616048522594258, 0.51305585322011193, 0.53278663115167402, 0.55579244842855957, 0.58265626481506994, 0.61413191364037834, 0.65118257376899191, 0.69503118496029592, 0.74722325653623078, 0.80970026371070303, 0.88487614518344804, 0.97569702260129609, 1.085639504946434, 1.2185576444965351, 1.3782156436563775, 1.5672522923589205, 1.7852828269643437, 2.026056517420689, 2.2743986637050964, 2.5051719181796583, 2.6874869674435327, 2.795087674259638, 2.8177437169207833, 2.7651551361701188, 2.6606383693749862, 2.530522775143162, 2.3964559821280833, 2.2728560738719703, 2.1677958682782865, 2.0850306506863627, 2.0258684518530314, 1.9904865006907293, 1.9787239761822593, 1.990486500690517, 2.0258684518526411, 2.085030650686384, 2.1677958682782665, 2.2728560738717363, 2.3964559821281748, 2.5305227751431518, 2.6606383693749902, 2.7651551361700606, 2.8177437169207864, 2.7950876742595789, 2.687486967443359, 2.5051719181798622, 2.2743986637051092, 2.0260565174208547, 1.7852828269644256, 1.5672522923589496, 1.3782156436561901, 1.2185576444967765, 1.0856395049465328, 0.97569702260128355, 0.88487614518352009, 0.80970026371067561, 0.74722325653622745, 0.69503118496029503, 0.6511825737689918, 0.61413191364037556, 0.58265626481505473, 0.5557924484285699, 0.53278663115169855, 0.51305585322010783, 0.49616048522594708, 0.48178689335647484, 0.46974042972301272, 0.45995026339757245, 0.45248986615675746, 0.44762098007832329, 0.44587638052147271, 0.44821155421956249, 0.45628630871584813, 0.47300531234920284, 0.50360445861877146, 0.55795643873900991, 0.65575226602640457, 0.83866432857907225, 1.1979190464672986, 1.9108708146862783, 3.0496588462306597, 3.630189643782038, 2.92152719880356, 2.0763261351658757, 1.534952766415183, 1.2123576153260609, 1.0123307687099885, 0.88111211465164574, 0.79044774104765014, 0.72499454373718719, 0.67599125009934846, 0.63817988755235333, 0.6082603242980662, 0.58407829987603332, 0.56417867588551396, 0.54754886057391705, 0.53346563934160141, 0.52140052064855436, 0.51095941298755909, 0.50184310963382361, 0.49382075891418609, 0.48671165448189152, 0.48037248452650133, 0.47468824063654164, 0.46956562855269701, 0.46492822011127444, 0.46071283692155768, 0.45686681854787853, 0.4533459346864841, 0.45011277224726237, 0.44713547681216564, 0.44438676145164774, 0.44184311932141435, 0.43948419307015457, 0.43729226599729498, 0.43525184853339921, 0.43334933994132807, 0.43157274981615934, 0.42991146745645237, 0.42835606981159613, 0.42689816070916764, 0.42553023559613967, 0.42424556720761664, 0.4230381084926253, 0.42190240984251937, 0.42083354823048846, 0.41982706631644301, 0.41887891992590226, 0.41798543259543397, 0.41714325610531178, 0.41634933610459912, 0.41560088208367518, 0.41489534107164727, 0.4142303745360984, 0.41360383804536327, 0.41301376332155032, 0.41245834236912088, 0.41193591341101787, 0.41144494840369694, 0.41098404193543575, 0.41055190134010899, 0.41014733788226471, 0.40976925888898158, 0.40941666072123112, 0.40908862249172934, 0.40878430044870157, 0.40850292295557589, 0.40824378600588002, 0.40800624922041806, 0.40778973228071907, 0.40759371175879988, 0.40741771830849177, 0.40726133418812316, 0.40712419108859471, 0.40700596824431989, 0.40690639080789054, 0.4068252284722132, 0.4067622943264243, 0.40671744393450487, 0.40669057462763397, 0.40668162500346539, 0.40668609923516114, 0.40669952517692848, 0.40672191257456014, 0.40675327769011466, 0.40679364333063694, 0.40684303888849127, 0.40690150039342282, 0.4069690705766042, 0.40704579894684734, 0.40713174187922491, 0.40722696271648273, 0.40733153188354282, 0.40744552701556835, 0.40756903309997644, 0.40770214263301119, 0.40784495579138635, 0.40799758061967062, 0.40816013323410644, 0.40833273804367276, 0.40851552798915158, 0.4087086448013012, 0.40891223927897807, 0.40912647158841459, 0.40935151158490624, 0.40958753915814045, 0.40983474460270619, 0.41009332901529155, 0.41036350472039423, 0.41064549572630343, 0.41093953821347967, 0.4112458810575752, 0.41156478638949279, 0.41189653019517086, 0.41224140295798922, 0.41259971034703491, 0.412971773954599, 0.41335793208683591, 0.41375854061164352, 0.41417397386843524, 0.41460462564477135, 0.41505091022531881, 0.41551326351934414, 0.41599214427321179, 0.41648803537541557, 0.41700144526209326, 0.41753290943210508, 0.41808299208145266, 0.41865228786803316, 0.41924142381883506, 0.41985106139302136, 0.42048189871587011, 0.42113467300011642, 0.42181016317327569, 0.4225091927315438, 0.423232632843349, 0.42398140572832399, 0.42475648834065621, 0.42555891638910609, 0.42638978873029565, 0.42725027217614542, 0.42814160676177238, 0.42906511152610216, 0.43002219086422666, 0.43101434151864554, 0.43204316028534123, 0.43311035252144442, 0.43421774155308024, 0.43536727909635864, 0.43656105682052221, 0.43780131920158505, 0.439090477836792, 0.44043112741638213, 0.44182606357961857, 0.44327830291792458, 0.4447911054303742, 0.44636799978687614, 0.44801281181390762, 0.44972969668835527, 0.4515231754097091, 0.45339817622195994, 0.45536008177846432, 0.4574147829898052, 0.45956874067250081, 0.46182905633280563, 0.46420355368329586, 0.46670087281356282, 0.46933057933389127, 0.47210329130280615, 0.47503082736013647, 0.47812638024975213, 0.48140472087258196, 0.48488243921681107, 0.48857823004226408, 0.49251323314769524, 0.49671144055497235, 0.5012001861801948, 0.50601073777100614, 0.51117901640119789, 0.51674647608763846, 0.52276118576758734, 0.529279168843237, 0.53636607304229722, 0.54409926728313518, 0.5525704952250583, 0.56188926110902915, 0.57218718810928615, 0.58362368135278908, 0.59639336012434996, 0.61073591670115213, 0.62694934410689296, 0.64540790127248715, 0.6665868305130036, 0.69109683611023964, 0.71973288107120936, 0.75354429955964242, 0.79393710291251052, 0.84282554330499171, 0.90285976234824128, 0.97777118153667975, 1.0728973953839223, 1.1959659403661327, 1.3581898619771771, 1.5754894277433666, 1.8686061579471838, 2.2572251900743128, 2.7338344477532628, 3.1967397321042683, 3.3952785924649231, 1.9058847044814415, 0.89641561364631994, 0.58255659811302796, 0.47209784646121616, 0.42745970458267768, 0.40801941295424388, 0.39945761522265849, 0.39594238057309922, 0.39482622406831647, 0.39480800610267208, 0.39521338568313658, 0.39568431738178661, 0.39603366650059657, 0.39617193160186953, 0.39606756345194255, 0.39572388446831908, 0.39516473985292089, 0.39442509863632202, 0.39354471667200219, 0.39256386349946648, 0.3915205328986161, 0.39044875404156859, 0.3893777182145271, 0.38833149334651901, 0.38732914092040649, 0.38638508695057272, 0.38550963285364676, 0.38470952270793723, 0.38398850959791864, 0.38334788489188326, 0.38278695042438027, 0.38230342514478521, 0.38189378560580189, 0.38155354453139734, 0.38127747440218801, 0.38105978418669184, 0.38089425754892287, 0.38077436045992846, 0.3806933254023761, 0.38064421846172253, 0.38061999465677138, 0.38061354594388458, 0.38061774546925897, 0.38062549086510022, 0.38062974870106059, 0.38062360162651437, 0.3806002992887822, 0.38055331381181356, 0.38047640050225584, 0.38036366456033294, 0.38020963497142413, 0.38000934752101656, 0.37975844012214333, 0.37945326552756237, 0.37909102925088134, 0.37866996449065848, 0.37818956157841904, 0.37765087780151724, 0.37705696573094605, 0.37641347658550434, 0.37572952324378606, 0.37501893119605184, 0.37430207504628121, 0.37360861051007044, 0.37298159800139175, 0.37248382986167927, 0.3722077238556869, 0.37229113316126794, 0.37294325267515682, 0.37448831542851951, 0.37744180140064798, 0.3826485977851849, 0.39154500177468032, 0.40668231630944235, 0.43283900003828119, 0.47955396263663835, 0.56735200669272456, 0.74407744683438104, 1.1266652587334895, 1.9487961463065089, 3.0479757739372793, 2.9188989322746011, 2.0547899026691265, 1.4645198652976925, 1.1330965709240415, 0.93957202899904868, 0.8183533680134838, 0.73741658159743195, 0.68044715197566874, 0.6385865799686179, 0.60672359505802942, 0.5817481355856422, 0.56167976071206882, 0.54520738105017363, 0.53143358848066213, 0.51972616691774187, 0.50962842115934925, 0.50080314574446838, 0.49299655600119119, 0.48601446529532633, 0.47970621006290731, 0.47395362693852489, 0.46866343431657864, 0.46376200591393346, 0.45919193219346643, 0.45491005567139448, 0.4508869120357531, 0.44710777722456035, 0.44357589814052378, 0.44031912366118287, 0.43740236607593469, 0.43495081878565051, 0.4331943579108623, 0.43255659156506782, 0.43384554527813463, 0.43869796300882524, 0.45073185086337425, 0.47897409402358421, 0.54995071559260011, 0.75810601033711911, 1.3973059080052717, 1.6399257265531968, 0.98356490601533875, 0.69822779520354561, 0.58493459558523253, 0.53344565262120758, 0.50986085061301123, 0.50292759713723989, 0.50750227289909922, 0.52239400528144919, 0.5518414052240862, 0.60617341022787652, 0.71083917466865643, 0.93272054431680862, 1.4102553662005148, 1.7781182967182503, 1.1702770758429457, 0.73715423606402941, 0.56750967442292677, 0.4963873036915778, 0.46308255360157979, 0.44631235719271772, 0.43763249065477472, 0.4332692606365286, 0.43136534408494331, 0.43093415527569162, 0.43141913238015706, 0.43249105173663965, 0.43394780319132931, 0.43566173416053328, 0.43755053695524787, 0.43956044247493387, 0.44165615632635175, 0.44381464278784649, 0.44602118430965082, 0.44826682949507218, 0.45054671214574449, 0.45285893060556481, 0.45520379595057769, 0.45758332850006483, 0.46000092543909016, 0.46246114947427641, 0.46496960586966873, 0.4675328867020706, 0.47015856899361691, 0.47285525891678287, 0.47563267840830559, 0.47850179386851283, 0.48147498958067192, 0.4845662913951162, 0.48779164938323982, 0.49116929188542779, 0.49472016801657021, 0.49846850172200802, 0.50244248853131845, 0.50667517714754862, 0.51120559325692549, 0.51608018441665526, 0.52135469556096459, 0.52709662914321243, 0.533388509400469, 0.54033226814371649, 0.54805521847225713, 0.55671831375810177, 0.56652775445392334, 0.57775159543977239, 0.59074398293824859, 0.60598130672005712, 0.62411744267559044, 0.64607045010004926, 0.67316270039141146, 0.70735478602261181, 0.751649707493802, 0.81081638189643623, 0.89272581637930448, 1.0108511274535539, 1.1887014565020726, 1.4651692540681571, 1.8821328652262854, 2.3524435166906743, 2.3829078567337061, 1.7765959640323601, 1.1800374075775983, 0.83377807714578633, 0.652884316613907, 0.55670101590589349, 0.50340454954100855, 0.47275588356507847, 0.45467368458747964, 0.44388142874150699, 0.43747556451567227, 0.43378406041105616, 0.43180482298358464, 0.43091590086905929, 0.43071917562412626, 0.43095264067329786, 0.43143942039923722, 0.43205723187965839, 0.43271962800287828, 0.43336426541890105, 0.43394551659294334, 0.43442989407591082, 0.43479342294252793, 0.43502051573371531, 0.43510420273004152, 0.4350478326000482, 0.43486865450846507, 0.43460410472210509, 0.43432227364130865, 0.43413914268994502, 0.43424716962667009, 0.43496348600859969, 0.4368130351879923, 0.44067600253883316, 0.44805774991689962, 0.46160105904681736, 0.48609631362953226, 0.53055048646555714, 0.61254448018760677, 0.76731461756191455, 1.0639435146938163, 1.6121317148597347, 2.4361417450291727, 3.0916702388653232, 3.0429738193195552, 2.5936776587212154, 2.156651472331105, 1.8342928940711845, 1.6098501290219203, 1.4535997297870822, 1.3436664782822416, 1.2660526452213172, 1.2121020325322012, 1.1765449898735301, 1.1562846303079615, 1.149699176806291], [0.56208515054149544, 0.57181598342977835, 0.60558758458494877, 0.68262989295746113, 0.86343940435625777, 1.3068234022903789, 1.5956310563279239, 0.95663136048659303, 0.64907162820855668, 0.54644033337705344, 0.50727310111446977, 0.4907753861192104, 0.48374839233785966, 0.48115612984211331, 0.48081313172309348, 0.48167816857310031, 0.483222032013637, 0.48516485711238183, 0.48735665057727318, 0.48971896758074696, 0.49221486477876147, 0.4948328286197628, 0.49757802056635303, 0.50046756613081045, 0.50352821441668805, 0.50679549807626256, 0.51031395391506251, 0.51413821561619588, 0.51833495776836802, 0.52298580727024502, 0.52819147975151903, 0.53407757731428651, 0.54080273993127259, 0.54857023746215283, 0.5576447257047803, 0.5683769525077409, 0.58124103143227812, 0.59689216186784888, 0.61625869035265146, 0.64069394116308442, 0.67223631526266381, 0.71407449851619709, 0.77142102497862952, 0.85324322820512644, 0.97588849483207707, 1.1710134563858778, 1.5024892605321603, 2.0887004546472112, 2.9840356467944726, 3.3506802556314335, 2.3449195879466962, 1.3921868461151965, 0.90979119525542795, 0.67808958987278622, 0.55932227626651809, 0.4938094015744624, 0.45536350926200242, 0.43165814613074177, 0.41645685352881712, 0.40639775318150428, 0.39956869014303936, 0.39483197314914914, 0.39148454947628952, 0.3890777943026687, 0.38731750775650742, 0.38600619287225135, 0.38500857721471532, 0.38423039387622376, 0.38360497859053605, 0.38308461213426742, 0.38263482277050564, 0.38223058370001273, 0.38185375677476641, 0.3814913820410159, 0.38113456625464415, 0.3807778233973057, 0.38041879073349727, 0.38005830097901278, 0.37970084716944297, 0.37935554466956495, 0.37903779184748854, 0.37877198559793823, 0.37859591131616083, 0.37856789734894114, 0.37877869910865059, 0.37937177424550012, 0.38057904758869904, 0.38278658991708669, 0.38666117983032333, 0.39340871742226835, 0.40534027611127404, 0.42722407670185214, 0.46988207294011936, 0.56113255331449952, 0.78470969226083542, 1.4303463966836238, 3.0447377871079171, 2.9699510073294504, 1.6890140095840753, 1.1111150788119759, 0.85488316426446187, 0.72278528793739227, 0.64582852807868385, 0.59680848066123304, 0.56345769720611083, 0.53960854542792425, 0.52188297440567444, 0.50830058906880327, 0.49763482854865337, 0.48909099381383331, 0.48213449940315006, 0.47639417708503268, 0.47160528808975122, 0.46757459676050683, 0.46415822833216769, 0.46124721132704988, 0.45875779028462871, 0.45662478539459056, 0.45479694850391622, 0.4532336576547501, 0.45190252819143961, 0.45077766391843921, 0.44983836363623247, 0.44906815767940456, 0.44845408817587962, 0.44798617306057975, 0.44765701197588154, 0.44746150494953485, 0.44739666401351014, 0.44740721116649973, 0.44743887725191922, 0.44749173627185412, 0.44756591197332291, 0.44766157846784832, 0.44777896110725457, 0.44791833762439054, 0.4480800395500385, 0.44826445392023129, 0.44847202529124996, 0.44870325808303452, 0.44895871927536579, 0.44923904148554755, 0.4495449264606276, 0.44987714902292031, 0.45023656151303915, 0.450624098781852, 0.45104078379027229, 0.4514877338848588, 0.45196616782749222, 0.45247741366925504, 0.45302291757277136, 0.45360425370317364, 0.45422313532711872, 0.45488142728151026, 0.45558115999982784, 0.45632454531521904, 0.45711399429637101, 0.45795213741624513, 0.4588418474063049, 0.45978626521206417, 0.46078882954175521, 0.4618533105918558, 0.46298384864477404, 0.46418499837002336, 0.46546177982684933, 0.46681973737099153, 0.46826500792164016, 0.4698044003588801, 0.47144548821476073, 0.47319671831360249, 0.47506753863930418, 0.47706854949713401, 0.47921168304671297, 0.48151041758060464, 0.48398003460386357, 0.48663792896203328, 0.48950398514703902, 0.49260103672874339, 0.49595543096374312, 0.49959772751565773, 0.50356356959382653, 0.50789477871142674, 0.51264074219718858, 0.51786018782891152, 0.52362347590861968, 0.53001559100928586, 0.537140091657481, 0.54512438931825968, 0.55412689911406821, 0.56434686814483337, 0.5760381009493093, 0.5895284651489765, 0.60524814932883475, 0.62377147802279609, 0.64588025870261423, 0.67266228357569124, 0.70566899883334344, 0.74717612859316862, 0.80063001837932324, 0.8714418881606435, 0.96845798793947491, 1.1067776476733666, 1.3132265288900249, 1.6362400590140131, 2.1556905160010533, 2.9296669789846645, 3.6095252559059445, 3.2298291841029307, 2.1622501976003088, 1.387469991208538, 0.9697348182270078, 0.75065628019291986, 0.63175732118466221, 0.56496598260882214, 0.52689828321383136, 0.50566317604468247, 0.49490645062936278, 0.4910861369808206, 0.49216977524515054, 0.49698087402646018, 0.50485677646548277, 0.51546381404082542, 0.52869621562401792, 0.54462229028859732, 0.56345929236531767, 0.5855674725378911, 0.61145871671603858, 0.64181798761318354, 0.67753748332849062, 0.71976438150141853, 0.76996317272046555, 0.82999229578971656, 0.90219057411125114, 0.98945870614276632, 1.0952988765438094, 1.2237314387830598, 1.3789283571718831, 1.5642832692894597, 1.7805216726676638, 2.0225362350197074, 2.2753729058683003, 2.511676495553544, 2.6950512621403311, 2.7922973496629564, 2.7892495787278011, 2.6976923500924896, 2.5473689830627726, 2.3711642719044788, 2.1946528636684453, 2.0333111752553585, 1.8944092596055699, 1.780071104001832, 1.6897803030421179, 1.6219835167540166, 1.5749816244563388, 1.5473768102059924, 1.5382767282970835, 1.547376810205827, 1.5749816244560297, 1.6219835167540364, 1.6897803030421013, 1.7800711040016359, 1.8944092596056465, 2.0333111752553519, 2.194652863668451, 2.3711642719043748, 2.5473689830628037, 2.6976923500926073, 2.7892495787278411, 2.792297349662975, 2.695051262140324, 2.5116764955536843, 2.2753729058683847, 2.0225362350197438, 1.7805216726674142, 1.5642832692897883, 1.3789283571720223, 1.2237314387830398, 1.0952988765439131, 0.9894587061427309, 0.90219057411124692, 0.82999229578971523, 0.7699631727204671, 0.71976438150141597, 0.67753748332847019, 0.64181798761319764, 0.61145871671607033, 0.5855674725378851, 0.56345929236532355, 0.54462229028861153, 0.52869621562402547, 0.51546381404082875, 0.50485677646547211, 0.49698087402645885, 0.49216977524515432, 0.4910861369808196, 0.49490645062935867, 0.50566317604469191, 0.52689828321383103, 0.56496598260883502, 0.63175732118472849, 0.7506562801929374, 0.96973481822720231, 1.3874699912081794, 2.1622501976000739, 3.2298291841023858, 3.6095252559059015, 2.9296669789844629, 2.1556905160002318, 1.6362400590138315, 1.3132265288904224, 1.1067776476734181, 0.96845798793945659, 0.871441888160572, 0.80063001837927195, 0.74717612859313653, 0.70566899883332124, 0.67266228357566227, 0.64588025870261112, 0.62377147802280009, 0.60524814932883553, 0.58952846514897828, 0.57603810094931485, 0.5643468681448357, 0.55412689911405999, 0.54512438931825025, 0.53714009165749033, 0.53001559100928453, 0.52362347590861913, 0.51786018782891674, 0.51264074219719458, 0.5078947787114314, 0.50356356959382487, 0.49959772751565495, 0.49595543096374339, 0.49260103672873895, 0.48950398514703908, 0.48663792896203639, 0.48398003460385919, 0.48151041758059943, 0.47921168304670941, 0.47706854949713434, 0.47506753863930568, 0.47319671831360327, 0.47144548821475829, 0.46980440035887533, 0.46826500792163928, 0.46681973737099147, 0.46546177982684678, 0.46418499837002047, 0.46298384864477149, 0.46185331059185791, 0.46078882954175537, 0.45978626521205923, 0.45884184740630324, 0.45795213741624108, 0.45711399429636901, 0.45632454531521932, 0.45558115999982796, 0.45488142728150843, 0.45422313532711783, 0.45360425370317153, 0.45302291757277063, 0.45247741366925898, 0.45196616782749127, 0.45148773388486257, 0.45104078379027424, 0.45062409878185333, 0.45023656151303781, 0.44987714902292236, 0.44954492646063293, 0.44923904148554639, 0.44895871927536868, 0.4487032580830338, 0.44847202529125091, 0.44826445392023168, 0.44808003955003822, 0.44791833762438937, 0.44777896110725623, 0.44766157846784621, 0.44756591197332324, 0.44749173627185551, 0.44743887725192139, 0.44740721116650006, 0.44739666401350553, 0.4474019368928065, 0.44741775947036122, 0.4474441435723448, 0.44748110893299198, 0.44752868323065764, 0.44758690213845914, 0.44765580938966476, 0.44773545685813781, 0.44782590465409022, 0.44792722123545153, 0.44803948353535422, 0.44816277710611585, 0.4482971962803376, 0.44844284434962245, 0.44859983376169649, 0.44876828633660909, 0.44894833350287811, 0.44914011655449032, 0.44934378692979615, 0.44955950651331483, 0.44978744796185816, 0.45002779505609941, 0.45028074307915783, 0.450546499223824, 0.4508252830300678, 0.45111732685482031, 0.45142287637603107, 0.45174219113337449, 0.45207554510794373, 0.45242322734371393, 0.45278554261374088, 0.4531628121342583, 0.45355537433022486, 0.45396358565615924, 0.45438782147654089, 0.45482847701027235, 0.45528596834440271, 0.45576073352253688, 0.45625323371413584, 0.45676395447135032, 0.45729340708070143, 0.45784213001789442, 0.45841069051447697, 0.45899968624642101, 0.45960974715535191, 0.46024153741463769, 0.46089575755355638, 0.46157314675440375, 0.46227448533894344, 0.46300059746245803, 0.46375235403574705, 0.46453067589763697, 0.46533653726335589, 0.46617096947696135, 0.46703506509945752, 0.46792998236801098, 0.46885695006613792, 0.4698172728494503, 0.47081233707756603, 0.47184361720890677, 0.47291268282274446, 0.47402120634132333, 0.47517097153455784, 0.47636388290134385, 0.47760197603421106, 0.47888742908951276, 0.48022257550249242, 0.48160991810727166, 0.48305214484520198, 0.48455214627307669, 0.48611303511493209, 0.4877381681394935, 0.48943117069023678, 0.49119596424809658, 0.49303679746979828, 0.49495828121949759, 0.49696542820050688, 0.49906369790027277, 0.50125904768969953, 0.50355799107146515, 0.50596766425797424, 0.50849590248471044, 0.5111513277389661, 0.51394344991933116, 0.5168827838522746, 0.519980985099604, 0.52325100811816982, 0.52670729111452519, 0.5303659729137995, 0.53424514838955828, 0.53836517055215505, 0.54274900936349879, 0.54742267986470949, 0.5524157554415986, 0.55776198624444928, 0.56350004823992306, 0.56967445554030904, 0.57633667812918876, 0.58354651972602745, 0.59137382748808109, 0.59990062821795709, 0.60922381714750173, 0.6194585686977746, 0.63074269900052149, 0.64324229498696428, 0.65715904584877938, 0.67273988679935348, 0.69028981850969573, 0.71018913879027246, 0.73291687897568147, 0.75908307464567981, 0.78947377361055859, 0.82511463523600503, 0.86736197376997703, 0.91803467938094441, 0.97960728295089061, 1.0554939701937545, 1.1504643369159153, 1.271235698762839, 1.4272500189082904, 1.6314488220212877, 1.9001386001642424, 2.2488039624944531, 2.6753742510489653, 3.1176298431626144, 3.4023526911747703, 3.3160905944243764, 2.8555163581237992, 1.3502934265468809, 0.76746899505593902, 0.56871655337208127, 0.49143640964274493, 0.45839127530948681, 0.44375372256191636, 0.43749792055485509, 0.43523843966567266, 0.4348745134584821, 0.43533109875343101, 0.43603514132185456, 0.43667833739784551, 0.4371013504561998, 0.43723310742152022, 0.43705653370214803, 0.43658770527111196, 0.43586227830888419, 0.43492622222584343, 0.43382936519490051, 0.43262095141646867, 0.43134672174955352, 0.43004716806675813, 0.42875667793163674, 0.42750332784759765, 0.42630912010166966, 0.42519049564857431, 0.42415899290645775, 0.42322195732949908, 0.42238323703388447, 0.42164382442420251, 0.42100242252630488, 0.42045592810941806, 0.41999983257415147, 0.41962854699934266, 0.41933566062287742, 0.41911414317297652, 0.41895650148660141, 0.41885490020253724, 0.41880125531109624, 0.41878730818355764, 0.4188046865163958, 0.41884495747962702, 0.41889967729127381, 0.41896044047156866, 0.41901893117133449, 0.41906697823185562, 0.41909661503451096, 0.41910014476242585, 0.41907021145760731, 0.41899987726128018, 0.41888270653156318, 0.41871285821758414, 0.4184851890346179, 0.41819537176982963, 0.41784003565389638, 0.41741693945764308, 0.41692519327041494, 0.41636555249705265, 0.41574081859190598, 0.41505639721973947, 0.41432108878623758, 0.41354822336096747, 0.41275730983166647, 0.41197646111679531, 0.41124600672803791, 0.41062395230345927, 0.41019436836475609, 0.41008052899155079, 0.41046594929554414, 0.41162893765677988, 0.41400102861500454, 0.41826918160843835, 0.42556158291102619, 0.43780084722822277, 0.45841072201366928, 0.49381467226792047, 0.55682131123616729, 0.67474548426269021, 0.90932166548198468, 1.3970501600129788, 2.3159572146941709, 3.1739191556157449, 2.8321218110001443, 2.0623019157617133, 1.5326014401296324, 1.2182093658558226, 1.0261846942277615, 0.90196873262139532, 0.81709443186447051, 0.75633544489632687, 0.71112222647906231, 0.67637459642303166, 0.64893597532183056, 0.62676267994683477, 0.60848351524330235, 0.59314956822691822, 0.58008620938372624, 0.56880235362107201, 0.55893303400117567, 0.55020202893141223, 0.54239694244095571, 0.5353522463737137, 0.52893756262633618, 0.5230495069206248, 0.51760605731615617, 0.51254283063945583, 0.50781095641943674, 0.50337650745639995, 0.49922175213737952, 0.49534893678111314, 0.49178806732746327, 0.48861161417570653, 0.48596206627881694, 0.48410490425455777, 0.48353538674588803, 0.48520853430263033, 0.49107889257589754, 0.50551371042751903, 0.53953769131531248, 0.62582744980175664, 0.87722664932156202, 1.5190986692593476, 1.4601986450207094, 0.92651218364811849, 0.70290807542216893, 0.61177949506766394, 0.57307192371693272, 0.56208515054149544, 0.56931390109158664, 0.59338439759705497, 0.6433144177268747, 0.74265919565939675, 0.95195585585576048, 1.3823221780811226, 1.6926145236375618, 1.1797388413765491, 0.78288949504174665, 0.61829329632340224, 0.54739200485803141, 0.51378195801487792, 0.49680562626412078, 0.48806641689876656, 0.48375292709285567, 0.48196902315314349, 0.48170028317826208, 0.48237220348518522, 0.48364471350361921, 0.48530959032627718, 0.48723611796587796, 0.48934083762008324, 0.49156999427610415, 0.493888991574231, 0.49627587245410104, 0.49871719324728292, 0.50120536376169533, 0.50373690897015599, 0.50631132366454745, 0.50893031689376345, 0.51159731808432063, 0.51431716286567408, 0.51709590566232189, 0.51994072484927023, 0.52285989867586469, 0.52586283864856265, 0.52896017311890875, 0.5321638784131304, 0.53548745861324798, 0.53894617853514959, 0.54255735792770488, 0.54634073879794309, 0.55031894243268076, 0.55451803859697646, 0.55896825714674658, 0.5637048827330472, 0.56876938758684836, 0.57421087730481846, 0.58008795271081981, 0.5864711311953239, 0.59344602953704495, 0.60111759664299136, 0.60961581417506339, 0.61910348046996366, 0.62978699965483342, 0.64193158306007592, 0.65588305447887096, 0.67209974803936745, 0.69120018484192103, 0.71403603221087286, 0.74180665727433814, 0.77624403992413993, 0.81992009662044996, 0.87677251251724808, 0.95302703627196383, 1.0588303860650721, 1.2110263904971215, 1.4368569707740619, 1.7722191731110566, 2.2159417959406791, 2.5457277219176797, 2.3084492628993445, 1.6706636072539087, 1.15480616949, 0.85497295526703443, 0.6917040828005725, 0.60136270709775541, 0.54973152222728283, 0.5193755443000293, 0.50120806144867003, 0.49029453158319247, 0.48383758988100367, 0.48018688069355198, 0.47833336177503993, 0.4776402298547936, 0.47769404956139994, 0.47821939564983673, 0.47902832202024093, 0.4799895930348495, 0.48100949043702801, 0.48201960878579841, 0.48296900237460078, 0.48381914018078098, 0.48454076286334868, 0.48511212736234577, 0.48551838635533501, 0.48575205159521845, 0.48581468152811774, 0.48572016035326138, 0.48550025456012813, 0.48521363061457712, 0.48496034192967419, 0.48490521276918541, 0.48531606542953376, 0.48662733071633624, 0.48954818955119633, 0.49525096085665565, 0.50570814592459568, 0.52431232241064551, 0.55704597355200536, 0.61472695800967625, 0.71727818820749345, 0.90114746589875161, 1.2276408136694761, 1.7683883639917894, 2.4888734584645564, 3.060611364645343, 3.1412922498559022, 2.8611003094712535, 2.5049274229167722, 2.2013338629438679, 1.9706806826318903, 1.8016621846596601, 1.6798476177349113, 1.5941733212398863, 1.5372875938535318, 1.5047206732991303, 1.4941099104788658], [0.63135211900526567, 0.64821482408655395, 0.70943890210907079, 0.86139460415336089, 1.2222012608303103, 1.5268100177811064, 1.0383160796242517, 0.72953227439284585, 0.61813260545970161, 0.57442412833927659, 0.55562069517167856, 0.54731985114786064, 0.54394066941343755, 0.54304961858160006, 0.54349042183870444, 0.54468059068170993, 0.54631633075855668, 0.5482376921117742, 0.55036278204886591, 0.55265409269034904, 0.55510071361405644, 0.55770881944659334, 0.56049667756617061, 0.56349225631158095, 0.56673243823315822, 0.570263336009595, 0.57414149222613475, 0.57843592782553743, 0.58323114745059612, 0.58863135176418968, 0.5947662801951602, 0.60179935096061232, 0.60993913490137763, 0.61945578813827717, 0.63070503776311926, 0.6441639602647462, 0.66048567287807147, 0.68058526757112381, 0.70577907843560783, 0.73801837880407883, 0.78029716385843695, 0.83739528868441004, 0.91729783172863399, 1.0340354842940798, 1.2135605293730964, 1.5055412830174781, 1.9994002781435929, 2.7726460783321225, 3.396292582194171, 2.8114101225215764, 1.769759603186158, 1.1365658770654754, 0.8196668424353486, 0.65715118803061645, 0.56833372716389141, 0.51674984378310629, 0.48523297665867471, 0.46517079861015453, 0.45196936405555488, 0.44304292604154605, 0.43686777015453487, 0.43251036794473258, 0.42937952709321764, 0.42709011373603967, 0.42538506395813536, 0.42408916280824654, 0.42308079699774415, 0.42227422079716087, 0.4216081570928763, 0.4210383203455349, 0.42053242907067068, 0.42006683757181273, 0.41962424831054995, 0.41919216793660219, 0.41876189701959698, 0.41832792767723703, 0.41788768383591979, 0.41744158869839781, 0.41699349352079201, 0.41655156190566422, 0.41612978926847943, 0.41575047177498264, 0.41544816531447654, 0.41527607307782571, 0.41531652823132559, 0.41569862199418972, 0.41662877007781807, 0.41844570635391432, 0.42172387234189124, 0.42747826726693755, 0.43759679248245703, 0.45582562189235354, 0.49023745698848625, 0.56017605585424857, 0.71865975561484374, 1.1333519403924739, 2.2855347349272823, 3.4660233769314028, 2.3114094673813605, 1.4374213667477633, 1.0480412585364058, 0.85623001208800498, 0.74891295953993087, 0.68265990842017121, 0.63865329648334912, 0.60776568558072452, 0.58514516951537821, 0.56801658099676255, 0.55469590617222486, 0.54411058200067741, 0.5355494832284301, 0.52852493984452853, 0.52269280526377482, 0.51780419613219753, 0.51367529540215906, 0.51016786200933983, 0.50717630452763918, 0.50461890095554252, 0.50243170805835224, 0.50056425775345503, 0.49897646713640265, 0.49763638961711998, 0.49651856030770336, 0.49560276924721175, 0.49487314866639409, 0.49431749564888905, 0.49392677555458309, 0.49369476838139925, 0.49361783238101775, 0.49363032252131761, 0.49366782279868787, 0.49373042293543518, 0.4938182729798094, 0.49393158407804127, 0.49407062956593961, 0.49423574639115964, 0.49442733688055313, 0.49464587087080908, 0.49489188822451191, 0.49516600175820297, 0.49546890061371229, 0.49580135410966497, 0.49616421611569117, 0.49655842999923894, 0.49698503420204965, 0.4974451685127016, 0.49794008111146132, 0.49847113647555519, 0.49903982424649163, 0.49964776917670617, 0.50029674229141885, 0.50098867342270459, 0.50172566529828955, 0.50251000939719481, 0.50334420381936107, 0.50423097345819812, 0.50517329281447265, 0.50617441184923517, 0.5072378853444417, 0.50836760632546452, 0.50956784420292089, 0.5108432884165518, 0.51219909851647194, 0.51364096180386798, 0.51517515988278417, 0.51680864575784879, 0.51854913346469067, 0.52040520265807177, 0.52238642113307188, 0.524503488947754, 0.52676840869547981, 0.52919468759735511, 0.5317975785270489, 0.5345943689443402, 0.5376047291421473, 0.54085113439802124, 0.54435937983631766, 0.54815921242958865, 0.55228511213550791, 0.55677726444693332, 0.5616827807429815, 0.56705724240123767, 0.57296667209056584, 0.57949007466028657, 0.58672274614618813, 0.5947806312659758, 0.60380613099276959, 0.61397594421843815, 0.62551180685994312, 0.6386954275963761, 0.6538896133137897, 0.67156870648880895, 0.69236333808163042, 0.71712771478526416, 0.7470433059247511, 0.78378299961722009, 0.82977878899229596, 0.88867240399657144, 0.9660994759151067, 1.0710978390351626, 1.2186930024239171, 1.4345905665312637, 1.7625988294954991, 2.2680240229079267, 2.9816663158205969, 3.6016319102503065, 3.3441645205365829, 2.378307711060069, 1.5768203574595991, 1.1105870785589429, 0.85638807817856066, 0.71544511277450062, 0.6351142886846739, 0.58869972593956155, 0.56231940488618914, 0.54845659266461189, 0.54288469309801679, 0.54316189126244696, 0.54786499650286979, 0.55618458023318229, 0.56770482634244068, 0.58228255720098765, 0.59998257196115856, 0.62104730976124745, 0.64588956046966306, 0.67510274243016777, 0.70948658231791273, 0.75008796309299908, 0.79825759752075098, 0.85572275563990252, 0.92467339437905505, 1.0078510897144963, 1.1086118462635959, 1.230895401239319, 1.3789598599733421, 1.5566166288067493, 1.7655440287217847, 2.0022151130992509, 2.2534963914694095, 2.4927898506510648, 2.681508460123327, 2.7808867671964355, 2.7708732086503747, 2.661449050025317, 2.4855608472590678, 2.281246084605141, 2.0780014066377857, 1.8929891355724215, 1.7334641422858994, 1.6006754394787457, 1.4929515576497281, 1.4075776729342557, 1.341767182797496, 1.2930971655897927, 1.2596680489639989, 1.2401387116095626, 1.2337162277150104, 1.2401387116094458, 1.2596680489637793, 1.2930971655898031, 1.3417671827974795, 1.4075776729341107, 1.4929515576497907, 1.6006754394787368, 1.7334641422859163, 1.8929891355723245, 2.0780014066378292, 2.28124608460534, 2.4855608472592765, 2.6614490500251251, 2.7708732086503485, 2.7808867671964408, 2.6815084601233616, 2.4927898506510844, 2.2534963914691284, 2.0022151130996471, 1.7655440287219699, 1.5566166288067169, 1.3789598599734858, 1.2308954012392646, 1.1086118462635906, 1.0078510897144963, 0.92467339437905749, 0.85572275563989797, 0.79825759752072456, 0.75008796309301984, 0.70948658231795425, 0.67510274243016, 0.64588956046967083, 0.62104730976126632, 0.59998257196116722, 0.58228255720099253, 0.5677048263424278, 0.55618458023318063, 0.54786499650287557, 0.54316189126244618, 0.54288469309801479, 0.5484565926646221, 0.56231940488618815, 0.58869972593957209, 0.63511428868472231, 0.71544511277451117, 0.85638807817868434, 1.1105870785587162, 1.5768203574594983, 2.378307711059735, 3.3441645205356889, 3.6016319102499814, 2.9816663158195249, 2.2680240229076003, 1.7625988294961288, 1.4345905665313521, 1.2186930024238847, 1.0710978390350554, 0.9660994759150352, 0.88867240399652758, 0.82977878899226387, 0.78378299961717901, 0.74704330592474744, 0.7171277147852706, 0.69236333808163164, 0.67156870648881051, 0.65388961331379647, 0.63869542759638087, 0.62551180685993302, 0.61397594421842516, 0.6038061309927808, 0.59478063126597358, 0.58672274614618769, 0.57949007466029334, 0.57296667209057295, 0.56705724240124356, 0.56168278074297906, 0.55677726444692954, 0.55228511213550824, 0.54815921242958299, 0.54435937983631744, 0.54085113439802501, 0.53760472914214197, 0.53459436894433376, 0.53179757852704512, 0.52919468759735566, 0.5267684086954818, 0.524503488947755, 0.52238642113306888, 0.52040520265806611, 0.518549133464689, 0.51680864575784857, 0.51517515988278151, 0.51364096180386487, 0.51219909851646861, 0.51084328841655413, 0.50956784420292178, 0.50836760632545885, 0.50723788534443992, 0.50617441184923018, 0.50517329281446999, 0.50423097345819867, 0.50334420381936129, 0.5025100093971927, 0.50172566529828844, 0.50098867342270204, 0.50029674229141807, 0.49964776917671072, 0.4990398242464899, 0.49847113647555952, 0.49794008111146376, 0.49744516851270348, 0.49698503420204826, 0.49655842999924138, 0.49616421611569728, 0.49580135410966397, 0.49546890061371573, 0.49516600175820241, 0.49489188822451308, 0.49464587087080969, 0.49442733688055257, 0.49423574639115825, 0.49407062956594139, 0.49393158407803861, 0.49381827297980962, 0.4937304229354369, 0.49366782279869037, 0.49363032252131794, 0.49361783238101198, 0.49362407660877117, 0.49364281410258354, 0.49367405930318059, 0.49371783630872995, 0.49377417892044134, 0.49384313070662106, 0.49392474508539913, 0.49401908542651596, 0.49412622517250976, 0.49424624797971034, 0.49437924787967757, 0.49452532946160283, 0.49468460807646469, 0.49485721006361449, 0.49504327300080664, 0.49524294597856588, 0.49545638990002738, 0.49568377780743983, 0.49592529523670109, 0.49618114060127405, 0.49645152560730177, 0.49673667570145008, 0.49703683055351872, 0.49735224457597083, 0.49768318748256279, 0.4980299448886909, 0.4983928189561268, 0.49877212908525836, 0.49916821265797134, 0.49958142583485587, 0.50001214441066932, 0.50046076473229739, 0.50092770468393222, 0.50141340474460305, 0.50191832912377188, 0.50244296698103619, 0.5029878337368936, 0.50355347248187388, 0.50414045549237896, 0.50474938586218365, 0.50538089925949004, 0.5060356658207027, 0.50671439219277203, 0.50741782373773703, 0.50814674691408501, 0.50890199185152474, 0.50968443513722761, 0.51049500283385219, 0.51133467375180031, 0.51220448300077848, 0.51310552584862146, 0.51403896191849563, 0.51500601975946425, 0.51600800182944406, 0.51704628993441837, 0.51812235117314154, 0.51923774444287285, 0.52039412756845671, 0.52159326512556159, 0.52283703703774143, 0.52412744803789046, 0.52546663809686067, 0.52685689393601265, 0.52830066175711499, 0.5298005613415413, 0.53135940169315654, 0.5329801984244672, 0.5346661931158958, 0.53642087491260959, 0.53824800466470146, 0.54015164196444132, 0.54213617549136117, 0.5442063571431236, 0.5463673405098286, 0.54862472434434595, 0.55098460179443176, 0.55345361629799106, 0.55603902520551185, 0.55874877239024368, 0.56159157134383575, 0.56457700054382598, 0.56771561323070252, 0.57101906416262382, 0.57450025644511993, 0.57817351218573809, 0.58205477153410323, 0.58616182567692887, 0.59051459062193157, 0.59513543019585791, 0.60004953869608724, 0.60528539619871558, 0.610875312807862, 0.61685608235867273, 0.62326977156681362, 0.63016467776990115, 0.63759649780626515, 0.64562976302212971, 0.65433961199946633, 0.66381399492248605, 0.67415643377292567, 0.68548950394697394, 0.69795926002897068, 0.71174090804920986, 0.72704613848809807, 0.7441326932367256, 0.76331696764477575, 0.78499077874459988, 0.80964391273226388, 0.83789477440484461, 0.87053251195242576, 0.90857554895356074, 0.9533537544122288, 1.0066248079937277, 1.0707398998266182, 1.1488794672363167, 1.2453839572341345, 1.3661988044794851, 1.5194080424265071, 1.7156602210488938, 1.9677527589471402, 2.2871718802891987, 2.672238491141222, 3.0798571880243393, 3.3881958706628166, 3.4201085973119478, 3.1023179941295833, 2.5744528902110195, 2.0400110657893382, 1.0613391291755712, 0.71010948268680396, 0.57723328401617124, 0.52155622898388354, 0.49690140337527122, 0.48606148469643018, 0.48177756706470898, 0.48066685818515531, 0.48102755841694866, 0.48195581532875859, 0.48295772398515618, 0.4837655143603633, 0.48424415244441466, 0.48434031301754993, 0.48405222046756652, 0.48341034682511314, 0.48246420301566983, 0.48127292448345327, 0.47989850705162673, 0.47840106807283439, 0.47683572357636678, 0.47525075430053332, 0.4736867681652695, 0.47217659336552509, 0.47074566877803453, 0.46941273790608062, 0.46819069523011797, 0.4670874749285136, 0.46610690801000776, 0.46524950316878283, 0.46451312879561979, 0.46389358918162693, 0.46338509815107837, 0.46298065940561062, 0.46267236591657962, 0.46245163173379339, 0.46230936933411942, 0.46223612465003405, 0.46222218056119535, 0.46225763813384169, 0.46233248339002847, 0.46243664595633932, 0.4625600546137541, 0.46269269356365367, 0.4628246621457574, 0.46294623980273059, 0.46304795729854392, 0.46312067458960288, 0.46315566535579961, 0.46314470807135644, 0.46308018369308213, 0.462955180640932, 0.46276360883728124, 0.46250032628009174, 0.46216128412395452, 0.46174369978189705, 0.46124627251923905, 0.46066946297551692, 0.46001586794276761, 0.45929073600994597, 0.45850269069269861, 0.45766475919357374, 0.45679585319101268, 0.45592292339392126, 0.45508412961120237, 0.45433356328337077, 0.45374838398959566, 0.45343978411256985, 0.45357016170089276, 0.45438061848112599, 0.45623612373208788, 0.45970188104206777, 0.46567681419150964, 0.47563589408038248, 0.49208935810806109, 0.51949588388252432, 0.56617590238887694, 0.64853241098213565, 0.80068012364500707, 1.0953217135904441, 1.6695182751579782, 2.5953331335281717, 3.2177959468999568, 2.8173579571387664, 2.1330907991707595, 1.6416205148099101, 1.3332761619468965, 1.1370102171318954, 1.006329955220056, 0.91519714637559946, 0.84899009927814661, 0.79918799425854181, 0.76060743582916868, 0.72996358261802263, 0.70509666348807987, 0.6845396891300477, 0.66726734399971754, 0.65254478286033168, 0.63983356104767353, 0.62873136624233661, 0.61893238127041339, 0.61020060628979944, 0.60235154476386421, 0.5952394348761112, 0.58874827013285125, 0.58278551442126814, 0.57727785582530433, 0.57216866993054905, 0.56741715797053438, 0.56299946868238893, 0.55891261918032997, 0.55518290534489934, 0.55188216209827745, 0.54915865993173807, 0.5472969447954239, 0.54683869212060643, 0.54884228366262611, 0.5554881768032246, 0.57164830970921321, 0.60952230329231916, 0.70438156756626547, 0.96739389237782647, 1.5041093011122351, 1.3299234740477563, 0.90253761828901435, 0.7210015904072804, 0.65041455303667117, 0.63135211900526567, 0.6438424058525557, 0.68681309791006018, 0.78181782722369897, 0.98450167645468056, 1.369811475087902, 1.563451917641814, 1.1367069379954728, 0.81373459162166228, 0.67057975634094102, 0.60600447180430295, 0.57460687115247333, 0.55858046397125982, 0.55034766728248574, 0.54635852163629872, 0.54480893734908631, 0.54472126736678095, 0.54553891268532018, 0.54693297096397941, 0.54870371795554052, 0.55072758318600512, 0.55292729977596522, 0.55525447504755499, 0.55767911018439353, 0.5601831501896154, 0.56275644289399107, 0.56539417493218069, 0.56809523305236775, 0.57086115634270518, 0.5736954726733835, 0.57660328970015839, 0.57959105834013003, 0.58266645663034122, 0.58583836122246569, 0.58911688655758798, 0.59251348051008668, 0.59604107156499186, 0.59971426742436595, 0.60354960903312938, 0.60756588789618482, 0.61178453867392191, 0.61623012381519815, 0.6209309328953464, 0.62591972696417497, 0.63123466836668651, 0.6369204902837442, 0.64302997924979077, 0.64962587048023102, 0.65678329349735398, 0.66459295961255138, 0.67316536154029738, 0.68263637171835889, 0.69317480040370905, 0.70499274080646435, 0.71835994180003182, 0.73362410251687804, 0.7512400380155082, 0.77181240289348163, 0.79615958368183415, 0.82541139526596852, 0.8611620163816629, 0.90571522137312732, 0.96248669305601087, 1.0366756805220301, 1.1363882726936354, 1.274434773064002, 1.4706555428582435, 1.7518582170516792, 2.1331020816012245, 2.5284578021022615, 2.6150751407549548, 2.1731816960455208, 1.5722815265610646, 1.1379095023002872, 0.88131181469338937, 0.73556462118722121, 0.65168386471564355, 0.60224185634863237, 0.57251534559837036, 0.55446687555416863, 0.5435603655965795, 0.53714171301996594, 0.5336036537712826, 0.53194184539540534, 0.53151068873151119, 0.53188441584298052, 0.53277553716914805, 0.53398557015451575, 0.53537449613144361, 0.5368413954062804, 0.5383119365564798, 0.53973018294438013, 0.5410531995012533, 0.54224754403620179, 0.5432870958824495, 0.5441519140992922, 0.54482798853653003, 0.54530788935646313, 0.54559246477985679, 0.54569391362941266, 0.54564080815054128, 0.54548602332089235, 0.54531914007199611, 0.54528590221181572, 0.54561902411366803, 0.54668762035115515, 0.5490777784246722, 0.55372622227626089, 0.5621461615031752, 0.57681574657309276, 0.60185591821443662, 0.64421969021481906, 0.7157446327136654, 0.83644702747378585, 1.0386144546301215, 1.3668230097103999, 1.8555190771334018, 2.4555276319114396, 2.9659666121905235, 3.1760342130560777, 3.094014240055039, 2.8725608039859769, 2.6312020007698065, 2.4206444406710848, 2.2535440015364756, 2.1290538366255816, 2.0434119367990271, 1.993351950063196, 1.976883606429497], [0.71317120795156541, 0.74651252781792765, 0.87254628359720254, 1.1659415128540016, 1.3831945841388189, 1.0532632006626088, 0.80514409688417632, 0.70324245517623074, 0.66028881454121169, 0.64070553565915267, 0.63130325694448064, 0.62673131757212841, 0.6246212185732638, 0.62385458949303496, 0.62387933301887866, 0.62441526616381549, 0.62531887337773429, 0.62651819443482137, 0.62798048620641733, 0.62969590281023236, 0.63166929697769203, 0.63391628692049329, 0.63646166739835675, 0.63933920902465646, 0.64259239342602847, 0.64627591210119806, 0.65045793202689484, 0.655223264828945, 0.66067770840704099, 0.66695399262457788, 0.6742199903471896, 0.68269020346498077, 0.69264208425481011, 0.70443964986382457, 0.71856835079862402, 0.73568774332098774, 0.7567131099842892, 0.78294559111398532, 0.81628635398952831, 0.85960170025116345, 0.9173698693586595, 0.99687403207729719, 1.1104876198878313, 1.2801484986456186, 1.5457524178335331, 1.975953976346654, 2.640981203779722, 3.3259757483968873, 3.1448118793841817, 2.1732651215439089, 1.4095002973603881, 0.99445775170706607, 0.77744931982161192, 0.65886761982727882, 0.59037135497418358, 0.54877857378099415, 0.52244495128353197, 0.50518894275476323, 0.49355447140577402, 0.48551920355355804, 0.47985238101705779, 0.47577932924037331, 0.47279813486386674, 0.47057539606469456, 0.46888481247585651, 0.46756986746361406, 0.46652051924306653, 0.46565828480794552, 0.46492648956138838, 0.46428377583776642, 0.4636997155830902, 0.4631518130752722, 0.46262344882905537, 0.46210248017507238, 0.46158031944166505, 0.46105138183450406, 0.46051284729532121, 0.4599647243497581, 0.45941024791893692, 0.45885669653091443, 0.45831678991188196, 0.45781094569862985, 0.45737086933462701, 0.45704528971309061, 0.45690926199653636, 0.45707959493484018, 0.45774116335148418, 0.45919332995389384, 0.46193519985591946, 0.46682982918096821, 0.47543900137702755, 0.49075406203276328, 0.5189294499725734, 0.57383074391035627, 0.69047116726814295, 0.969539541023826, 1.7144544828755297, 3.1954194466362109, 3.0413285812502813, 1.9075165519093618, 1.3166875426963576, 1.0325963943906653, 0.87982244915381669, 0.78862195943265823, 0.72962269309303718, 0.68905841458077854, 0.6598329469046138, 0.63799174469325626, 0.62118692399634501, 0.60795029486437036, 0.59732345085543248, 0.58865782221477947, 0.58150092631320116, 0.5755287656850776, 0.57050411091842068, 0.56624990194279379, 0.56263179749813375, 0.55954643578772101, 0.55691336111802503, 0.55466936326384264, 0.55276444124137902, 0.55115888394943113, 0.54982113410392763, 0.54872621225606333, 0.54785454927659327, 0.54719112314945684, 0.5467248280950282, 0.5464480264148821, 0.54635624949612172, 0.5463711188485858, 0.54641576333891939, 0.54649029245787029, 0.54659488933160905, 0.54672981169110235, 0.54689539324310144, 0.54709204545705226, 0.54732025978654752, 0.54758061034881733, 0.54787375709086383, 0.54820044947662128, 0.54856153073564506, 0.5489579427211484, 0.54939073143261874, 0.54986105326785051, 0.55037018207869126, 0.55091951711707787, 0.55151059197094132, 0.55214508460526468, 0.55282482864153237, 0.55355182602961817, 0.55432826129095747, 0.55515651754016004, 0.55603919452634953, 0.55697912897538226, 0.5579794175613112, 0.55904344289198193, 0.56017490296079342, 0.56137784459729512, 0.56265670154618552, 0.56401633792141526, 0.5654620979239654, 0.56699986288469517, 0.56863611690486693, 0.57037802262641391, 0.57223350898425696, 0.57421137318966164, 0.57632139968853868, 0.57857449945788242, 0.58098287378450253, 0.58356020765876693, 0.58632189917695998, 0.58928533296297958, 0.59247020770880587, 0.5958989306493816, 0.59959709534710903, 0.60359406386116232, 0.60792368063569169, 0.61262515384736049, 0.61774415135023664, 0.62333417395963864, 0.62945829040435863, 0.63619134847618919, 0.64362281965536861, 0.65186049577578442, 0.66103534534510966, 0.67130796841675289, 0.68287728547107962, 0.69599239499295529, 0.71096899815643533, 0.72821252155487814, 0.74825125001561277, 0.77178472800016085, 0.79975597099042628, 0.83346170051736623, 0.87472485987581272, 0.92617186933856099, 0.99169069115931674, 1.0772082363627256, 1.1920386033070396, 1.3512319686157899, 1.579472435048942, 1.9160514374146178, 2.4120639662706549, 3.070509877149596, 3.6122637583586363, 3.4119726151637542, 2.5513585714742213, 1.7563021193751402, 1.2567558333050661, 0.97162431509589353, 0.80912827962831135, 0.71477674077840636, 0.65940264081632538, 0.62736230854204067, 0.61001991702627478, 0.6024557469239139, 0.60179962111573804, 0.6063642877715083, 0.61518077663365722, 0.62774313990185449, 0.6438671234441099, 0.66361417326740368, 0.68725556268671373, 0.71526358064125062, 0.7483233342920681, 0.78736244480853357, 0.83359790429808811, 0.88859983434537027, 0.95437016766409799, 1.0334283597000984, 1.128881775031793, 1.2444269791306506, 1.3841655949956264, 1.552006877058449, 1.7502680717380645, 1.976965222118741, 2.2215697378137227, 2.4604460767235037, 2.6561927071071225, 2.7669884859200078, 2.7659780656922512, 2.6571887600874007, 2.472523012935115, 2.2532044254548178, 2.0328184021131763, 1.8313018229518945, 1.65704656524775, 1.5113433437590955, 1.3920407183619432, 1.2957740732182332, 1.2190957551616273, 1.1589568705697353, 1.1128600999507134, 1.0788662136768605, 1.0555474214880365, 1.0419312731948089, 1.0374540722500147, 1.0419312731947254, 1.0555474214878831, 1.0788662136768719, 1.1128600999507037, 1.1589568705696307, 1.2190957551616728, 1.295774073218225, 1.392040718361955, 1.5113433437590169, 1.6570465652477864, 1.8313018229520797, 2.0328184021134081, 2.2532044254545549, 2.472523012935095, 2.6571887600872723, 2.7659780656922175, 2.7669884859199851, 2.6561927071069267, 2.4604460767238532, 2.2215697378139154, 1.9769652221187011, 1.7502680717382506, 1.5520068770583779, 1.3841655949956204, 1.2444269791306481, 1.1288817750317985, 1.0334283597000919, 0.9543701676640628, 0.88859983434539824, 0.83359790429814407, 0.7873624448085228, 0.74832333429207831, 0.71526358064127527, 0.68725556268672616, 0.66361417326741001, 0.64386712344409425, 0.62774313990185182, 0.61518077663366522, 0.60636428777150797, 0.60179962111573804, 0.60245574692392601, 0.61001991702627278, 0.62736230854205122, 0.65940264081636368, 0.71477674077841169, 0.80912827962839151, 0.97162431509575231, 1.2567558333050006, 1.7563021193749364, 2.5513585714734157, 3.4119726151637346, 3.6122637583580137, 3.0705098771491373, 2.4120639662715422, 1.9160514374147419, 1.579472435048896, 1.3512319686156198, 1.1920386033069308, 1.0772082363626583, 0.99169069115927577, 0.92617186933850215, 0.87472485987580728, 0.83346170051737423, 0.79975597099042672, 0.77178472800016429, 0.74825125001562121, 0.72821252155488347, 0.71096899815642145, 0.6959923949929393, 0.68287728547109439, 0.67130796841675, 0.66103534534510844, 0.65186049577579297, 0.64362281965537749, 0.63619134847619663, 0.62945829040435486, 0.62333417395963409, 0.61774415135023697, 0.61262515384735372, 0.60792368063569147, 0.60359406386116676, 0.59959709534710259, 0.59589893064937338, 0.59247020770880088, 0.58928533296298025, 0.58632189917696254, 0.58356020765876793, 0.58098287378449964, 0.57857449945787565, 0.57632139968853735, 0.57421137318966176, 0.57223350898425385, 0.57037802262640991, 0.56863611690486304, 0.56699986288469839, 0.56546209792396562, 0.56401633792140826, 0.56265670154618386, 0.56137784459728901, 0.56017490296079064, 0.55904344289198249, 0.55797941756131131, 0.55697912897537982, 0.55603919452634798, 0.55515651754015694, 0.55432826129095658, 0.55355182602962361, 0.55282482864153082, 0.55214508460526979, 0.55151059197094421, 0.55091951711708043, 0.55037018207868937, 0.54986105326785339, 0.5493907314326264, 0.54895794272114706, 0.54856153073564906, 0.54820044947662039, 0.54787375709086439, 0.54758061034881789, 0.54732025978654719, 0.5470920454570507, 0.54689539324310377, 0.5467298116910998, 0.54659488933160949, 0.54649029245787284, 0.54641576333892228, 0.54637111884858602, 0.54635624949611494, 0.54636368314806782, 0.54638599001776189, 0.54642318785833233, 0.54647530629693952, 0.54654238689289658, 0.54662448321933665, 0.54672166096869412, 0.54683399808251987, 0.54696158490607161, 0.54710452436822832, 0.54726293218755595, 0.54743693710521746, 0.54762668114576551, 0.54783231990672232, 0.54805402287827176, 0.54829197379425476, 0.54854637101597181, 0.54881742795036603, 0.54910537350439803, 0.54941045257742094, 0.54973292659393513, 0.55007307407879702, 0.55043119127757101, 0.550807592824891, 0.55120261246375157, 0.5516166038192184, 0.55204994123012574, 0.55250302064293366, 0.55297626057195259, 0.55347010313087519, 0.55398501514089105, 0.5545214893211019, 0.55508004556758905, 0.55566123232807163, 0.5562656280798477, 0.55689384291924138, 0.55754652027193008, 0.55822433873411947, 0.55892801405586479, 0.55965830127876193, 0.56041599704150236, 0.56120194206853335, 0.56201702385807983, 0.56286217958819706, 0.56373839926096736, 0.56464672910766545, 0.56558827527983557, 0.56656420785433492, 0.56757576518346542, 0.56862425862498411, 0.56971107769088558, 0.57083769565835729, 0.5720056756917784, 0.5732166775304286, 0.57447246480350056, 0.57577491304170003, 0.57712601846378364, 0.57852790762620854, 0.57998284803627964, 0.58149325984210742, 0.5830617287285158, 0.58469102016584484, 0.58638409517914925, 0.58814412782965964, 0.5899745246278032, 0.59187894613016256, 0.59386133101024463, 0.59592592293793289, 0.5980773006543173, 0.60032041169054606, 0.6026606102516936, 0.60510369987285251, 0.60765598155678935, 0.61032430822412365, 0.61311614645249679, 0.61603964665546129, 0.619103723061596, 0.62231814510730132, 0.62569364216372014, 0.62924202389082162, 0.63297631896738227, 0.63691093550353339, 0.64106184712972125, 0.6454468096059196, 0.65008561384977115, 0.65500038260006732, 0.66021591958356707, 0.66576012213612523, 0.67166447086858772, 0.67796461333242553, 0.6847010629529382, 0.69192004006014129, 0.69967448906699081, 0.70802531527537471, 0.71704289719493985, 0.72680894669072249, 0.73741881120160013, 0.74898434174866257, 0.76163749039662898, 0.77553485538998967, 0.79086346731067569, 0.80784821390290895, 0.82676144716824496, 0.84793552217905555, 0.87177930938851, 0.8988001397488512, 0.92963324039572603, 0.96508157611504308, 1.006170231714034, 1.0542211723025405, 1.1109564879719322, 1.1786409475167967, 1.2602770197776392, 1.359864489318289, 1.4827233616266244, 1.635827581469492, 1.8279412426796722, 2.0689265562546604, 2.3665845442891151, 2.7175325286104601, 3.087582822754825, 3.3864208968308578, 3.4762045399218122, 3.2680551690738713, 2.8272573382806638, 2.3174060517582356, 1.863102832590894, 1.5074770042186076, 0.91946482212866787, 0.6952985472245149, 0.60278457844422961, 0.56195884837216026, 0.54366230737038246, 0.53596146841123271, 0.53344054683692776, 0.53342655361100677, 0.53451221317034647, 0.53592380753081237, 0.53722935230211433, 0.53819442624293445, 0.538705898344776, 0.53872834669912928, 0.53827691250220977, 0.53739890734397633, 0.53616053612380588, 0.53463702346745756, 0.53290531547723452, 0.53103889467799381, 0.52910436772431479, 0.52715950963429192, 0.52525245006692767, 0.52342169886264833, 0.52169673781483306, 0.52009894961880454, 0.5186427053783873, 0.51733648161595081, 0.51618392139749636, 0.51518478945976898, 0.51433579764352477, 0.51363129531164331, 0.51306383120034316, 0.5126245999024851, 0.51230378937140308, 0.5120908466584595, 0.51197467846759714, 0.51194380166928, 0.51198645709334423, 0.51209069798063078, 0.51224446256681233, 0.51243563847499762, 0.51265212493563239, 0.51288189734361223, 0.51311307730349576, 0.51333401011168434, 0.51353335059386229, 0.51370015738551889, 0.51382399515378363, 0.51389504396382579, 0.51390421505724571, 0.51384327280868747, 0.51370496365031015, 0.51348315441083991, 0.51317298495317232, 0.51277104341715452, 0.51227557709082994, 0.51168675842004507, 0.51100703466934294, 0.5102416024477251, 0.50939906658708134, 0.50849236971499789, 0.50754011915126296, 0.50656849942970594, 0.50561405502570367, 0.50472778115894557, 0.50398120960712212, 0.50347558994779562, 0.50335596917910641, 0.50383319684748262, 0.50521907574984393, 0.50798392744194554, 0.51285357016652966, 0.5209779974029386, 0.53423548103673546, 0.55580305119347428, 0.59127346124093938, 0.65093768216828263, 0.75460680553941506, 0.94172840064203478, 1.2892366068724017, 1.9131002087280924, 2.7786895470683288, 3.2410409825360951, 2.8695721631048836, 2.261864404895126, 1.7948834040456871, 1.4843324521635974, 1.278512393545413, 1.1376622935864509, 1.0375646591724159, 0.96387629636175509, 0.90792768163965276, 0.86430436492833917, 0.82950711904513819, 0.8012005019906292, 0.77777970318820533, 0.75811294277950714, 0.74138346769369823, 0.72698977958323963, 0.7144809259786733, 0.70351349803114738, 0.69382241799411459, 0.68520070170841563, 0.67748520102993282, 0.67054643082922971, 0.6642812746168123, 0.65860782069158852, 0.65346191939291431, 0.64879535637695085, 0.64457589406875537, 0.64078996898870533, 0.63744977237672362, 0.63460824401756322, 0.63238917911174219, 0.63104754129580176, 0.63109314063731548, 0.63355542486400029, 0.64058764928884759, 0.65696991370338109, 0.69426766608207902, 0.78344092324629788, 1.0065337393904867, 1.3796560093774872, 1.2322258173071341, 0.89663124023374985, 0.75091532718781462, 0.71317120795156541, 0.7377834471963397, 0.82532999109717742, 1.0214827594955633, 1.3339690208044759, 1.3739054283526237, 1.0604032741731466, 0.83930549592667913, 0.73231907356389914, 0.68058148054406986, 0.6543580864939943, 0.64065102227022686, 0.63349253794774885, 0.6299469297069723, 0.62848224591440705, 0.62826203901635524, 0.62881415273970176, 0.62986565025676333, 0.63125617024547676, 0.63289056663633192, 0.63471220766309355, 0.63668757113611452, 0.63879720833590303, 0.64103038513537081, 0.64338188621301429, 0.64585011050172492, 0.64843594680326555, 0.65114212600876131, 0.6539728680661846, 0.656933714387543, 0.66003148027721881, 0.66327428891306139, 0.66667166525680854, 0.6702346790840169, 0.67397613357320829, 0.67791080111441659, 0.68205571218437222, 0.68643050697405539, 0.69105786347429821, 0.6959640203900509, 0.70117941906069303, 0.70673949608830777, 0.71268566838369141, 0.71906656587924256, 0.7259395857196137, 0.73337286749051345, 0.74144782519110586, 0.75026242298846335, 0.75993545562285481, 0.77061220191767688, 0.78247197882029951, 0.79573836180447099, 0.81069320056385619, 0.8276961210217274, 0.84721208955225902, 0.8698510322500157, 0.896425809012518, 0.92803865475337977, 0.96621256984259785, 1.013094802116127, 1.0717770595169451, 1.1468037433048213, 1.2449702652195409, 1.3765015876301474, 1.5564082152100611, 1.804220906451405, 2.1338011432197308, 2.5074535184801157, 2.7376328501177158, 2.5482669617537286, 2.0136115035342295, 1.490145091104534, 1.131930401419637, 0.91467671328872757, 0.7859779387566701, 0.70901819321998616, 0.66225990846074867, 0.63352057140021223, 0.61582891466949385, 0.60509049117100333, 0.59882840266096871, 0.59550021297876921, 0.59411908598189778, 0.59403780092931324, 0.59482209786956175, 0.5961743680101349, 0.59788650562591017, 0.59981010271273072, 0.60183721906110454, 0.60388775739139566, 0.60590106272385147, 0.60783029229116736, 0.60963865797178318, 0.61129698693317069, 0.612782268059338, 0.61407700481498184, 0.615169312724134, 0.6160538050019746, 0.61673342287671784, 0.61722250891999231, 0.6175516198429013, 0.61777487054773161, 0.61798105839199324, 0.61831054152754716, 0.61898101458116062, 0.62032723667999889, 0.62286292343970784, 0.62737825507224265, 0.635095132471582, 0.64791644258728365, 0.66882749491814075, 0.70253757441786235, 0.75647473650158492, 0.84220722823338656, 0.97705160369213018, 1.1844793165561827, 1.4890362829638504, 1.8978582806797231, 2.3677083518402324, 2.791808749004367, 3.0587001158462268, 3.1375288940026773, 3.0802053476974978, 2.9601029883273653, 2.8308323920057701, 2.7204093088545629, 2.6397207880224234, 2.5914118270413615, 2.5753962295032946], [0.81074865956929298, 0.88049451494444608, 1.0821539727703862, 1.1853990939148848, 1.0304746175392805, 0.89284953089304953, 0.82359220244360698, 0.78967262866263843, 0.77123012037701622, 0.75966619292651871, 0.75143407552157249, 0.74507633148334862, 0.73998119659435291, 0.73587398728683051, 0.73261313880263179, 0.73011072404738053, 0.72830288323812598, 0.72713969031321035, 0.72658225393103804, 0.7266023311445311, 0.72718274116578285, 0.72831804722257498, 0.7300154221664592, 0.7322957787807467, 0.73519531250515036, 0.73876764803561856, 0.74308683530593134, 0.74825152418415586, 0.75439077974402646, 0.76167220803324631, 0.77031338954105122, 0.78059813826745572, 0.79289994741839587, 0.80771637772399263, 0.82572050940707409, 0.84783969691019612, 0.87537924383687116, 0.91022223606457009, 0.95516267618316375, 1.0144796654373966, 1.0949608012452912, 1.2077789075284555, 1.3719618950239103, 1.6204097963528794, 2.0066695089575548, 2.5865198156976952, 3.2430836503232663, 3.3328922940898744, 2.5506809703954576, 1.7158800593298447, 1.2028633639481829, 0.92298767649541613, 0.76819011660141912, 0.67864461391779951, 0.62437561195964975, 0.5901053392581892, 0.56769755256305465, 0.55261017150818004, 0.54219440219257553, 0.53484472742783151, 0.52955471742298876, 0.52567482921682296, 0.52277512181605934, 0.52056468525894639, 0.51884286471393781, 0.51746890614424057, 0.51634259673125493, 0.51539164587791475, 0.5145633008539765, 0.51381868349254256, 0.51312891327940213, 0.5124724287626703, 0.51183313205376002, 0.51119911555364117, 0.51056181784072541, 0.50991551604382979, 0.50925710717157513, 0.50858616938196122, 0.5079053333500978, 0.50722104163127402, 0.50654484098023067, 0.5058954560412664, 0.50530206221252461, 0.50480946478645472, 0.50448640339389939, 0.50443913840339105, 0.50483425701241547, 0.50593815909512752, 0.50818797257932091, 0.51232453867725214, 0.51965488227945755, 0.53260280151273143, 0.55595142243993845, 0.59990421890043977, 0.68844105664791067, 0.88467486344241464, 1.3695964808739469, 2.5278947504096569, 3.4804644036518031, 2.5404732549502578, 1.6955148471824077, 1.2712928229774065, 1.0496882432334862, 0.92175974572015695, 0.84130243841520125, 0.78721890912786663, 0.74894787429648801, 0.72075766994786028, 0.69932207095734644, 0.6826011355384306, 0.66928511118204914, 0.65850016490779695, 0.64964407873401242, 0.64229019822439426, 0.63612901404302769, 0.63093139026571843, 0.62652471366521034, 0.62277701142691666, 0.61958612769628352, 0.61687219645957025, 0.61457231363858855, 0.6126367086975667, 0.61102595982142871, 0.60970894993791391, 0.60866135938958355, 0.60786455585700461, 0.60730478572920421, 0.60697260120613794, 0.60686247884774835, 0.60688028279481587, 0.60693373940811823, 0.60702298324685866, 0.60714823938844409, 0.60730982465566041, 0.60750814935277719, 0.60774371952917683, 0.60801713979477578, 0.60832911671785961, 0.60868046284264576, 0.60907210137145928, 0.60950507156448974, 0.60998053491967175, 0.61049978220513212, 0.611064241429227, 0.61167548684590345, 0.61233524910932879, 0.61304542670917983, 0.61380809883893139, 0.61462553987359636, 0.61550023566134648, 0.61643490186686734, 0.61743250464260313, 0.61849628395032175, 0.61962977990962409, 0.62083686261444126, 0.62212176593589108, 0.6234891259219858, 0.62494402451574083, 0.6264920394470771, 0.62813930131626439, 0.62989255908404806, 0.63175925542486722, 0.63374761369563604, 0.63586673863766618, 0.63812673338173653, 0.64053883588927718, 0.64311557866795721, 0.64587097648675107, 0.64882074793908373, 0.651982578132146, 0.65537643161307002, 0.65902492700596049, 0.66295378790351622, 0.66719238857277352, 0.67177441832966767, 0.67673869547435483, 0.68213017111406371, 0.68800117596260579, 0.69441298063788492, 0.70143776403025615, 0.70916111786178737, 0.71768526288695789, 0.72713321978318968, 0.73765427558829122, 0.7494312300387872, 0.76269011982609436, 0.7777134419790116, 0.79485839471582309, 0.81458243254335949, 0.83747967441802962, 0.86433372487527094, 0.89619582397570852, 0.93450292742360686, 0.98126013148600277, 1.0393290402719364, 1.1128938785815363, 1.2082291074862235, 1.334973566040615, 1.5081995819921687, 1.7514075816600565, 2.0988555172602905, 2.5865492731472162, 3.1889846522120724, 3.6393052182128471, 3.4489689792926828, 2.6815308373830105, 1.9184544303178153, 1.4034220926864658, 1.0944799695767213, 0.91259673043657041, 0.8045835929498848, 0.74004887792746454, 0.70203797626378839, 0.68094866515655006, 0.6712129093143735, 0.66953957670970732, 0.67397345570905332, 0.68338041697257579, 0.69716044806567046, 0.71508707194436427, 0.73722029644705123, 0.76386519175313528, 0.79556139625702693, 0.83309605902146466, 0.87753664761848948, 0.93028176062377999, 0.993127514633108, 1.068342885157155, 1.1587362410018476, 1.2676705170497442, 1.3989341856609125, 1.5562828335456746, 1.7423228771862109, 1.9562661625550977, 2.1901923439409088, 2.4244464975577298, 2.6253586267117113, 2.751230662570193, 2.7695271184298713, 2.6756927659020069, 2.4961892650909947, 2.2725159731149969, 2.0418814215088248, 1.8279371979973456, 1.6414165606784739, 1.4846093309279418, 1.3555253406674175, 1.2505601081995086, 1.1658814907873494, 1.0980307936106486, 1.0441171598949426, 1.0018279167342823, 0.96936922088130495, 0.94539032988566163, 0.92891399521771578, 0.91928109680854675, 0.91611152107073646, 0.91928109680848713, 0.92891399521760609, 0.94539032988566651, 0.9693692208812954, 1.0018279167342083, 1.0441171598949741, 1.0980307936106437, 1.1658814907873598, 1.2505601081994551, 1.3555253406674461, 1.4846093309280797, 1.6414165606786626, 1.8279371979971135, 2.0418814215088168, 2.2725159731148268, 2.4961892650909294, 2.6756927659019492, 2.7695271184298891, 2.7512306625702823, 2.6253586267118263, 2.42444649755768, 2.1901923439411117, 1.9562661625550095, 1.7423228771862012, 1.55628283354567, 1.3989341856609168, 1.2676705170497331, 1.1587362410017961, 1.0683428851571946, 0.99312751463318416, 0.93028176062376655, 0.87753664761850192, 0.83309605902149819, 0.79556139625704214, 0.7638651917531446, 0.73722029644703246, 0.71508707194436072, 0.697160448065681, 0.68338041697257468, 0.67397345570905631, 0.66953957670972153, 0.6712129093143705, 0.68094866515656094, 0.70203797626381959, 0.74004887792746554, 0.80458359294994308, 0.91259673043647271, 1.0944799695766838, 1.4034220926863517, 1.9184544303172972, 2.6815308373832192, 3.4489689792932738, 3.6393052182124785, 3.1889846522128673, 2.5865492731473436, 2.0988555172602115, 1.7514075816597841, 1.508199581992002, 1.334973566040518, 1.2082291074861651, 1.1128938785814533, 1.0393290402719293, 0.98126013148601365, 0.93450292742360808, 0.89619582397571407, 0.86433372487528404, 0.83747967441803772, 0.81458243254334273, 0.79485839471580211, 0.7777134419790307, 0.76269011982609036, 0.74943123003878664, 0.7376542755883021, 0.727133219783201, 0.7176852628869671, 0.7091611178617836, 0.70143776403025027, 0.6944129806378847, 0.68800117596259747, 0.68213017111406338, 0.67673869547436105, 0.67177441832966012, 0.66719238857276297, 0.66295378790350967, 0.65902492700596116, 0.65537643161307335, 0.65198257813214722, 0.64882074793908018, 0.64587097648674274, 0.64311557866795521, 0.64053883588927663, 0.63812673338173231, 0.63586673863766152, 0.63374761369563182, 0.63175925542487055, 0.62989255908404851, 0.62813930131625606, 0.62649203944707454, 0.62494402451573405, 0.62348912592198191, 0.62212176593589175, 0.62083686261444115, 0.61962977990962131, 0.61849628395032041, 0.61743250464259936, 0.61643490186686645, 0.61550023566135315, 0.61462553987359447, 0.61380809883893794, 0.61304542670918294, 0.61233524910933157, 0.61167548684590101, 0.61106424142923055, 0.61049978220514078, 0.60998053491967019, 0.60950507156449429, 0.60907210137145884, 0.60868046284264699, 0.6083291167178605, 0.60801713979477512, 0.60774371952917483, 0.60750814935278019, 0.60730982465565719, 0.60714823938844464, 0.60702298324686144, 0.60693373940812134, 0.60688028279481621, 0.60686247884774069, 0.60687137956725512, 0.6068980890493727, 0.60694262927976028, 0.60700503695081642, 0.60708536353639364, 0.60718367539678986, 0.6073000539143969, 0.60743459566065672, 0.60758741259494531, 0.60775863229610583, 0.6079483982277244, 0.60815687003808172, 0.60838422389615499, 0.60863065286489249, 0.60889636731350882, 0.60918159537040606, 0.60948658341872186, 0.60981159663661877, 0.61015691958472529, 0.61052285684317442, 0.61090973370139878, 0.61131789690349825, 0.61174771545278017, 0.61219958147932529, 0.61267391117452408, 0.61317114579727638, 0.61369175275669519, 0.61423622677691148, 0.61480509114974047, 0.61539889908184664, 0.61601823514360743, 0.61666371682742482, 0.61733599622415791, 0.61803576182712117, 0.6187637404741485, 0.61952069943899457, 0.62030744868489929, 0.62112484329400475, 0.6219737860881539, 0.62285523045790747, 0.62377018341841783, 0.62471970891317796, 0.62570493138823136, 0.62672703966268217, 0.62778729112352594, 0.62888701627655141, 0.63002762368817389, 0.6312106053574329, 0.63243754256179829, 0.63371011222566032, 0.63503009386628295, 0.63639937717850803, 0.6378199703273274, 0.63929400902590339, 0.64082376648658923, 0.64241166434376018, 0.64406028466040199, 0.64577238314489571, 0.64755090372219826, 0.64939899462279249, 0.65132002617604223, 0.65331761052098536, 0.65539562347817615, 0.65755822886240678, 0.65980990555733232, 0.66215547772249816, 0.66460014855993665, 0.66714953813539601, 0.6698097258280854, 0.6725872980771137, 0.67548940220360254, 0.67852380721993999, 0.68169897269519664, 0.68502412693437364, 0.68850935595565554, 0.69216570502254249, 0.6960052948174672, 0.70004145474320623, 0.70428887632576087, 0.70876379028719461, 0.71348417158811106, 0.71846997763975839, 0.72374342600083097, 0.72932931926110656, 0.73525542654601062, 0.74155293325228844, 0.74825697336982677, 0.7554072622275203, 0.76304885194308492, 0.77123303755471018, 0.78001844916398144, 0.78947237496157208, 0.79967237247099909, 0.81070824172827527, 0.82268445579198113, 0.83572317285077991, 0.84996799291530323, 0.8655886743535306, 0.88278709657291921, 0.9018048523206561, 0.92293298674323021, 0.94652458513983428, 0.9730111676529235, 1.0029242049500096, 1.0369235612176537, 1.075835344706622, 1.120702547114163, 1.1728529989830061, 1.2339904681470257, 1.3063157676744441, 1.3926842320135946, 1.4968003400269427, 1.6234305370582853, 1.7785591384412514, 1.9692679415836261, 2.2027811201768448, 2.4834210399139702, 2.8051892894875716, 3.1377261132325636, 3.4100556097267942, 3.5164237303829209, 3.3769679489933973, 3.0165323242235829, 2.5530913455692712, 2.1039816645938316, 1.7290811713183727, 1.4392773789315525, 1.2230545773528156, 0.85963210774761423, 0.70934339875116725, 0.64313057678632823, 0.61305329862227431, 0.59981333242531587, 0.59483774745342088, 0.59397190988047566, 0.59505310743302764, 0.59689255950490028, 0.59881507810476964, 0.60043684486409843, 0.60155116439724643, 0.60206542840487731, 0.60196321600073144, 0.60127920118250344, 0.60008103513007371, 0.59845552471718721, 0.59649793078611613, 0.59430386150710057, 0.59196345647434112, 0.58955758154193916, 0.58715571549747403, 0.58481517535172245, 0.58258132344773395, 0.58048842848288718, 0.57856090413580064, 0.57681471072741197, 0.57525876659197428, 0.57389626966610496, 0.57272587294477206, 0.57174268936868933, 0.5709391235355461, 0.57030554127369704, 0.56983079563554428, 0.56950263111259014, 0.56930798834203955, 0.56923323038497542, 0.56926430958556806, 0.56938689157512568, 0.56958645046673684, 0.56984834685801911, 0.5701578979956432, 0.57050044737579464, 0.57086143916013876, 0.57122650106817463, 0.57158153786670396, 0.57191283622926448, 0.57220718061523712, 0.57245197896807298, 0.57263539651726691, 0.57274649586230875, 0.57277538189930866, 0.57271335111073629, 0.57255304637336579, 0.5722886208705219, 0.57191591808391451, 0.57143267942801557, 0.57083879724816666, 0.57013663922084901, 0.56933148160701885, 0.56843210480201734, 0.56745162756178857, 0.56640868993160287, 0.56532914532777645, 0.56424849930800014, 0.56321545267105, 0.56229709722854826, 0.56158662132889303, 0.56121489243241662, 0.56136814607930241, 0.56231550237204808, 0.56445268060374543, 0.56837312237036675, 0.57498684358692709, 0.58572503368949458, 0.6029039106902877, 0.63039460054520013, 0.6748998781853508, 0.74845877023162244, 0.87339436916904201, 1.0914565133355389, 1.4751136184167659, 2.1060298727567766, 2.8835148750980331, 3.268505378078026, 2.9773258358502521, 2.446545957683278, 1.9986383526340079, 1.6804173543126659, 1.4601931748138111, 1.3051602968643903, 1.1928908857966904, 1.1091940580931396, 1.0451172046920714, 0.99490121433530998, 0.95474415277275759, 0.92206868865835645, 0.89508347189787685, 0.87251495718557204, 0.85343944032062213, 0.83717527938197867, 0.82321212046033487, 0.8111634171367873, 0.80073394660453567, 0.79169718399392564, 0.78387927812413094, 0.77714751478892852, 0.77140185954533869, 0.76656861421545197, 0.76259550440970436, 0.75944771098922015, 0.7571045344989904, 0.75555664065800876, 0.75480438565814389, 0.75485903432118218, 0.75575185369048414, 0.75756361287878227, 0.76050475931444339, 0.76511788843760842, 0.77277059010249993, 0.78683453158204619, 0.81547757495764828, 0.87783151178259533, 1.0097844786277883, 1.18666264165652, 1.1107891948346784, 0.88938612884840507, 0.81074865956929298, 0.86273519122900044, 1.0212880702441562, 1.1934481878170839, 1.1554375217363504, 1.0019647404842447, 0.89081360233915519, 0.82975020640919728, 0.79749776740028877, 0.78001460825528368, 0.76998424254545983, 0.76375453639472612, 0.75952649472090839, 0.75642640467747435, 0.75403841585965936, 0.7521693641187337, 0.75073126504873, 0.74968357286244802, 0.74900561765354412, 0.74868406569789736, 0.74870768396178511, 0.74906552589415476, 0.74974662273900372, 0.75074026275346506, 0.75203643948916699, 0.75362629409028437, 0.75550249185313967, 0.75765952491652011, 0.76009395388595724, 0.76280460795848948, 0.76579276385167305, 0.76906232247805384, 0.77262000065458136, 0.77647555401439894, 0.7806420470465596, 0.78513618699705645, 0.78997874036165239, 0.79519505406488822, 0.80081570843387184, 0.80687733616173762, 0.81342365126717397, 0.8205067455265862, 0.82818872837024216, 0.83654381181074988, 0.84566097757880276, 0.85564741367758701, 0.86663297864130828, 0.87877605388635771, 0.89227129303520991, 0.9073599957970705, 0.92434416035960221, 0.94360576182955169, 0.96563356056930605, 0.99106091756067072, 1.0207199330157044, 1.0557201253915036, 1.0975644345400981, 1.14832238140124, 1.2108904468351267, 1.2893819917922886, 1.3896932669100945, 1.5202428984307188, 1.692605658076789, 1.9206545123031367, 2.2131607462581653, 2.5463719318469389, 2.8050285792045795, 2.7759911530445791, 2.3857057731433917, 1.8620578285953198, 1.4301181940916621, 1.139401166367902, 0.95726457676697463, 0.84484826418875159, 0.77511266461011086, 0.73149150857841261, 0.70411182414239792, 0.68704874663278925, 0.67667678583375235, 0.67072496268226534, 0.66773655313017954, 0.66675566312197609, 0.66714156759375565, 0.66845620568145869, 0.67039445177353307, 0.67273996273431502, 0.67533666128676406, 0.67806998778830552, 0.68085438474618298, 0.68362484318553829, 0.6863311565647896, 0.6889340280950994, 0.69140249200555826, 0.69371231432858371, 0.69584517946410485, 0.69778857348765566, 0.69953636311867995, 0.7010901553334643, 0.7024616206372597, 0.70367608869673792, 0.70477789899948651, 0.70583824107323423, 0.70696659298538689, 0.70832743120153041, 0.71016474325511847, 0.7128381840577005, 0.71687670669052472, 0.72305848109155546, 0.73253024075837359, 0.74698503707882458, 0.76892396223584381, 0.80203080701391338, 0.8516759774309729, 0.92550198683734997, 1.0338453584797018, 1.189277381117761, 1.4037513099427517, 1.6815562546873917, 2.0094334871594399, 2.3526122741644935, 2.664366922714394, 2.9038091506753001, 3.0532166423985587, 3.1226088855896572, 3.1376341527979119, 3.1247154245284836, 3.1036693210075872, 3.0868221721473836, 3.0805590962385043], [0.91558547939730817, 0.95788353878238652, 1.0056112506137329, 0.99312774986738706, 0.97266294541011522, 0.97729597373869359, 0.9957578459184826, 1.0071369003310597, 1.0023837024440518, 0.98496975098535422, 0.96195267911791149, 0.93850481978242861, 0.91720469283155359, 0.89894587642079804, 0.88379184330817195, 0.87147407531881371, 0.86163258550297983, 0.85391834990658522, 0.84803055233979119, 0.84372558393426, 0.84081503385433864, 0.83916031479940101, 0.83866715655780499, 0.83928125876741311, 0.84098559293630992, 0.8437995678674296, 0.84778024734840329, 0.85302592165289814, 0.85968255320767728, 0.86795395822925137, 0.87811710888957395, 0.8905447582719126, 0.90573890669674273, 0.9243808083007321, 0.94740692894842726, 0.97612675949544236, 1.0124100462445875, 1.058992439289173, 1.1199886897713121, 1.2017777214639027, 1.3145584548536977, 1.4750684621152923, 1.7109273782808629, 2.0647138294327054, 2.579876364384746, 3.1874637990253802, 3.4350695703043335, 2.8773758272269312, 2.0384049545409075, 1.4379160402199469, 1.0891120066572093, 0.89166224746728029, 0.77658674532782723, 0.70674049331265876, 0.66265559003572139, 0.63385463227408712, 0.61447135470862735, 0.60108646298686419, 0.59163164976237803, 0.58481382848100871, 0.57980079320264488, 0.5760431935818362, 0.57317025572076929, 0.57092680886998193, 0.56913419954059341, 0.56766542841259604, 0.56642898307406375, 0.56535811737075858, 0.5644036187245316, 0.56352885582732015, 0.56270634722838675, 0.56191536514618912, 0.56114026020801255, 0.56036930297425702, 0.55959391138591785, 0.5588081846134656, 0.55800870290815163, 0.55719458701822488, 0.55636784567298814, 0.55553408231313073, 0.55470369187061341, 0.55389376946990776, 0.55313110020180922, 0.55245684715879817, 0.55193398702070895, 0.55165932013558516, 0.55178333021783554, 0.55254396850533283, 0.55432608171446951, 0.55777013746006365, 0.56398054397707931, 0.57494717323451394, 0.59445531877106483, 0.63020674795846321, 0.69922547872584584, 0.8430073733810054, 1.1724181631742543, 1.9662078119035558, 3.2745984621521056, 3.1950658687158868, 2.1988317255079846, 1.5837423271292554, 1.2614962811147155, 1.0806030696617108, 0.97001066411869497, 0.89741925931771915, 0.8470342212237616, 0.81049674634494417, 0.78306598566736518, 0.76189201461666256, 0.74517633335736433, 0.731736747557999, 0.72076894377161249, 0.71170942638425805, 0.70415338984682896, 0.69780370410078252, 0.69243821444649234, 0.68788819513838573, 0.68402380418948772, 0.68074405347507272, 0.67796976317910917, 0.67563853364303006, 0.6737011100782303, 0.67211872878082279, 0.67086116937978457, 0.66990532627613009, 0.66923417159422471, 0.66883602249511886, 0.66870405435951674, 0.66872532323821043, 0.66878918483740801, 0.66889580435405449, 0.66904545814484917, 0.66923853528075317, 0.66947553974682539, 0.66975709331165256, 0.67008393909801389, 0.67045694589477378, 0.67087711325874899, 0.6713455774652981, 0.67186361837695951, 0.67243266731217921, 0.6730543160092719, 0.67373032679739253, 0.67446264410333012, 0.67525340744445539, 0.67610496608156867, 0.67701989553348096, 0.67800101618756548, 0.67905141427833848, 0.68017446555119965, 0.68137386198059935, 0.68265364197470357, 0.68401822457265382, 0.68547244822871356, 0.6870216148837055, 0.68867154015111431, 0.69042861059868432, 0.69229984929201416, 0.69429299099259922, 0.69641656867855706, 0.69868001339459818, 0.70109376985463334, 0.70366943073652344, 0.70641989325071919, 0.70935954236728449, 0.7125044660959613, 0.71587270949023185, 0.71948457567101742, 0.72336298424367884, 0.72753390015994879, 0.73202684954910557, 0.73687554357950935, 0.74211863738226203, 0.74780065899073489, 0.75397315384682395, 0.76069610472855376, 0.76803970643919006, 0.77608660140860808, 0.78493471963125194, 0.79470091876482318, 0.80552569474559954, 0.81757934061477677, 0.83107008788673742, 0.8462549965742282, 0.86345470805685864, 0.88307370583324851, 0.90562855200474202, 0.93178786409634495, 0.96242987519710232, 0.99872680627119426, 1.0422708760206754, 1.0952661190210253, 1.1608257972921596, 1.2434407265250405, 1.3497224292927164, 1.4895685359758704, 1.6778760157091619, 1.9364921179842713, 2.293788614800981, 2.7701579667409528, 3.3146725502556178, 3.6742551051886401, 3.4734106525331012, 2.7808905074925643, 2.0597264218963116, 1.5419744372897648, 1.2158680396476871, 1.0171350875911149, 0.89613747877134331, 0.82239522749275895, 0.77812718229302091, 0.75295734045272411, 0.74074049237561745, 0.73778661187953354, 0.74187549484923221, 0.75170405404396468, 0.76657263396901554, 0.78620708396493411, 0.81066124077855606, 0.84026993858598342, 0.87563644154206954, 0.9176457329251001, 0.96749898055614747, 1.0267656097972164, 1.0974472516431946, 1.1820401822328621, 1.2835648165136386, 1.4054931962887407, 1.5514339944275324, 1.7243158586794123, 1.9246621764483587, 2.1475192416515432, 2.3781370656303231, 2.5883601325251546, 2.7387020267912034, 2.7912588776112739, 2.7296479287344924, 2.5697926125182033, 2.3503019828053842, 2.112154741200849, 1.8847005897629439, 1.6830803173177138, 1.5119948434900425, 1.3703763276604009, 1.2547178511660131, 1.1609201517207808, 1.0851404613431734, 1.024097971466164, 0.97512300754490544, 0.9361027875910366, 0.90539672481618605, 0.88175266302700628, 0.86423560500717744, 0.85217177674053324, 0.84510747641025041, 0.84278118406828972, 0.84510747641020711, 0.85217177674045053, 0.86423560500718244, 0.88175266302699951, 0.90539672481613165, 0.93610278759105714, 0.97512300754489778, 1.0240979714661691, 1.0851404613431346, 1.160920151720799, 1.2547178511661177, 1.3703763276605394, 1.5119948434898642, 1.6830803173177065, 1.8847005897627902, 2.1121547412007757, 2.3503019828053193, 2.5697926125184027, 2.729647928734265, 2.7912588776112455, 2.7387020267911626, 2.5883601325253021, 2.3781370656302236, 2.1475192416515245, 1.9246621764483482, 1.7243158586794192, 1.5514339944275168, 1.4054931962886732, 1.2835648165136937, 1.1820401822329634, 1.097447251643175, 1.0267656097972353, 0.96749898055619343, 0.91764573292512042, 0.87563644154208176, 0.84026993858595944, 0.81066124077855151, 0.78620708396494776, 0.76657263396901554, 0.75170405404397023, 0.74187549484924931, 0.73778661187953043, 0.74074049237562967, 0.75295734045274931, 0.7781271822930188, 0.82239522749279914, 0.89613747877127381, 1.0171350875910878, 1.2158680396476016, 1.5419744372894244, 2.0597264218965248, 2.7808905074936008, 3.4734106525332522, 3.6742551051885868, 3.3146725502556191, 2.7701579667408103, 2.2937886148005693, 1.936492117984016, 1.6778760157090282, 1.4895685359757895, 1.3497224292925969, 1.2434407265250278, 1.1608257972921754, 1.0952661190210262, 1.0422708760206816, 0.99872680627121202, 0.96242987519711298, 0.93178786409632242, 0.90562855200471437, 0.88307370583327405, 0.86345470805685354, 0.84625499657422865, 0.83107008788675152, 0.81757934061479065, 0.80552569474561042, 0.79470091876481863, 0.78493471963124328, 0.77608660140860763, 0.76803970643918096, 0.76069610472855398, 0.75397315384683061, 0.7478006589907259, 0.74211863738224948, 0.73687554357950136, 0.7320268495491058, 0.72753390015995278, 0.72336298424367995, 0.71948457567101232, 0.71587270949022175, 0.71250446609595874, 0.70935954236728382, 0.70641989325071386, 0.70366943073651778, 0.70109376985462757, 0.69868001339460217, 0.6964165686785575, 0.69429299099258912, 0.69229984929201061, 0.690428610598676, 0.68867154015110965, 0.68702161488370606, 0.68547244822871345, 0.6840182245726506, 0.6826536419747018, 0.68137386198059502, 0.6801744655511982, 0.67905141427834592, 0.67800101618756303, 0.67701989553348785, 0.67610496608157267, 0.67525340744445905, 0.67446264410332779, 0.67373032679739697, 0.67305431600928245, 0.67243266731217766, 0.67186361837696496, 0.67134557746529722, 0.67087711325875066, 0.67045694589477423, 0.67008393909801411, 0.66975709331165023, 0.6694755397468285, 0.66923853528074884, 0.66904545814485017, 0.66889580435405738, 0.66878918483741201, 0.66872532323821099, 0.66870405435950753, 0.66871468726582106, 0.66874659505192824, 0.66879980493854729, 0.66887436235739273, 0.66897033104733161, 0.6690877931895024, 0.6692268495819379, 0.6693876198545281, 0.66957024272515775, 0.66977487629800625, 0.67000169840542056, 0.67025090699465828, 0.67052272056128892, 0.67081737863093072, 0.67113514229162252, 0.67147629477900539, 0.67184114211697687, 0.67223001381666336, 0.67264326363693094, 0.67308127040975008, 0.67354443893460303, 0.67403320094578789, 0.67454801615743365, 0.67508937339141473, 0.67565779179352303, 0.67625382214421548, 0.67687804827050635, 0.67753108856657718, 0.67821359763093836, 0.67892626802916223, 0.67966983219197263, 0.68044506445928243, 0.68125278328200511, 0.68209385359456742, 0.68296918937248952, 0.68387975639053766, 0.68482657519902879, 0.68581072433719303, 0.68683334380496686, 0.68789563881650972, 0.68899888386127095, 0.69014442710170842, 0.69133369513912524, 0.69256819818354931, 0.69384953566681495, 0.6951794023432144, 0.6965595949266089, 0.6979920193190996, 0.69947869849270183, 0.7010217810930075, 0.70262355084229167, 0.70428643682900205, 0.70601302478183658, 0.70780606943898372, 0.70966850813760041, 0.71160347576507454, 0.71361432123284751, 0.71570462565497162, 0.71787822243961319, 0.72013921953025462, 0.72249202406774227, 0.72494136978369494, 0.72749234748148017, 0.73015043901517696, 0.73292155523907576, 0.73581207847475383, 0.73882891012886909, 0.74197952419787505, 0.7452720275164102, 0.74871522775054733, 0.75231871030775199, 0.75609292554012653, 0.76004928786219772, 0.7642002886985908, 0.76855962553176749, 0.77314234974907525, 0.77796503650961912, 0.78304598048650365, 0.78840542211779252, 0.79406580995400944, 0.80005210586878828, 0.80639214135862392, 0.81311703497434118, 0.82026168319854476, 0.82786533993520917, 0.83597230337927086, 0.84463273360152102, 0.85390363000946068, 0.86385000531194345, 0.87454630224031549, 0.88607811175312456, 0.89854426770910267, 0.91205941430278203, 0.92675717064203389, 0.94279405406552186, 0.96035437337544149, 0.97965636951498358, 1.0009599703726746, 1.024576646517843, 1.0508820166556014, 1.080332069556371, 1.1134841604866301, 1.1510243234988076, 1.1938029304224553, 1.2428813153924558, 1.2995925982116776, 1.3656203419301627, 1.4430982250429669, 1.5347309984181285, 1.6439278513422197, 1.7749153093490739, 1.9327391189226786, 2.1229352411788596, 2.3503845425748215, 2.6164048815888497, 2.9126434791544984, 3.2109488813995926, 3.4533434451573877, 3.5577719654111868, 3.4585142199873373, 3.1614505343018742, 2.7486218666905251, 2.319744332947137, 1.9398707196678604, 1.6320805923288553, 1.3940760889450452, 1.2139681566609648, 1.0786705910098098, 0.84206802572221084, 0.73725064541338148, 0.68908783670952578, 0.66715476924045614, 0.65810934874720139, 0.65558610307531606, 0.65631248457821767, 0.65849853196212083, 0.66111947439543073, 0.66357549277886529, 0.66552085830869934, 0.6667727087470835, 0.6672584106967645, 0.66698200625170356, 0.66600040664506965, 0.6644050108881957, 0.66230691842851119, 0.65982506778641958, 0.65707707760894696, 0.65417264224421545, 0.65120925447451505, 0.64826991966827496, 0.64542245186829594, 0.64271992346121454, 0.64020187051987598, 0.63789591875733709, 0.63581957188226457, 0.63398198040208309, 0.63238557547086449, 0.63102750512411909, 0.62990084869736696, 0.62899561102058943, 0.6282995136612407, 0.62779860871828175, 0.62747774380300136, 0.62732090674535279, 0.62731147660677955, 0.62743240469291484, 0.62766634603230886, 0.62799575856008771, 0.62840298418797969, 0.62887032312073698, 0.62938011019776363, 0.62991479968242459, 0.6304570627677698, 0.63098990011177691, 0.63149676997057502, 0.6319617310027551, 0.63236959763068568, 0.63270610504246727, 0.63295808058757419, 0.6331136185512326, 0.63316225617879718, 0.63309515045095799, 0.6329052575816051, 0.63258752064143653, 0.63213907527441893, 0.63155948944270424, 0.63085106094983256, 0.63001920686954438, 0.62907299309812348, 0.62802587188394776, 0.62689672326335011, 0.62571133744475727, 0.624504536677712, 0.62332322890285385, 0.62223083102575794, 0.62131372963331366, 0.62069081703212303, 0.62052774753074103, 0.62105857538016573, 0.62261917591552152, 0.6256999014496839, 0.63103040404928101, 0.63971966119186274, 0.65349334313789431, 0.67510758856500674, 0.70909060509709898, 0.76310390826131458, 0.85046769073908746, 0.99471690310175309, 1.2366392962962724, 1.6381635129958498, 2.247679942713944, 2.9426316497319602, 3.3044143203387897, 3.1140433663103679, 2.6659560924403194, 2.2406550967510994, 1.9147562606684745, 1.6780924222218805, 1.5062683874252047, 1.3793382424076548, 1.2835046004282171, 1.2095795319602101, 1.1514377002265086, 1.1049348962056835, 1.0672137598083986, 1.0362662273469574, 1.0106564336191777, 0.98934282319208, 0.97156208612803785, 0.95675224526322566, 0.94450104397572066, 0.93451106357333258, 0.92657618595985991, 0.920565956353812, 0.91641557113330641, 0.91411986762161823, 0.91372991323742248, 0.91535050990446909, 0.91913585333036796, 0.92527804265176694, 0.9339777812295722, 0.94537608776414017, 0.95940710969520338, 0.97550590706762652, 0.99209617959631924, 1.0059026043504842, 1.0116673902250308, 1.0039769995370054, 0.98297928073579355, 0.96065647652322961, 0.95761831154218691, 0.98443559681627157, 1.0072820472984767, 0.96208184542225483, 0.91558547939730817, 0.94905083596585693, 0.99955981257541038, 1.0020948597154296, 0.97276796653034869, 0.95082334046594752, 0.94960274347413809, 0.96427596301492291, 0.98416580658926278, 0.99982856736385517, 1.0065409903037932, 1.0042560804381671, 0.99544509884066257, 0.98301619885191771, 0.96927365899723039, 0.95570820131179202, 0.94314865926415281, 0.93198202767453198, 0.92233250448949389, 0.9141816485330303, 0.90744146680501703, 0.90199613572223469, 0.89772456777618204, 0.89451186459903942, 0.89225455796373809, 0.89086250294530578, 0.89025905293657503, 0.89038042488227687, 0.89117475080863351, 0.89260107987057491, 0.89462846691434339, 0.89723521434951692, 0.90040829839517, 0.90414299407645005, 0.90844270762836488, 0.91331902580921231, 0.91879199678722789, 0.92489066577662327, 0.93165390036077922, 0.93913155597808462, 0.94738605252301378, 0.95649446025825591, 0.96655123001750731, 0.9776717530736555, 0.98999700605095198, 1.0036996347619866, 1.0189919711609843, 1.0361366797486968, 1.0554610241778648, 1.0773761778260373, 1.1024036442706278, 1.1312118112574323, 1.1646670906842833, 1.203906210707149, 1.2504392670494149, 1.3062972145401073, 1.3742419239112478, 1.4580581999885482, 1.5629321228418425, 1.695845412291471, 1.8656478446403384, 2.0816353020174656, 2.3472400732344907, 2.6414832754390116, 2.8836958931690604, 2.9225409112140435, 2.6567261226914973, 2.1939630649804633, 1.737320867014039, 1.3900828407330605, 1.1550946605569048, 1.0028502080495114, 0.90528019241760349, 0.84270315262801065, 0.80250903234671489, 0.77680249658752898, 0.76062409698804179, 0.75081474881162502, 0.74532563672040719, 0.74280251471036995, 0.74233336578782361, 0.74329295245369431, 0.74524536665358398, 0.74788182224749533, 0.75098023759798127, 0.75437853850275249, 0.75795676078741459, 0.76162490247049774, 0.76531460590828859, 0.76897344645534149, 0.77256104182516117, 0.77604647840261243, 0.77940673872010879, 0.78262594595431911, 0.78569534090130433, 0.78861399124826337, 0.7913903152201851, 0.79404459405698369, 0.79661276389183944, 0.79915193502890081, 0.80174831010035186, 0.80452849863780962, 0.80767570912739139, 0.81145302319339019, 0.81623704158583965, 0.82256680543673999, 0.83121522921437996, 0.84329340149765575, 0.86040136663302913, 0.88483886823068747, 0.91987210003513686, 0.96996857813148107, 1.0406058639082374, 1.1363656149358339, 1.2546566153461132, 1.3767879057989441, 1.4816014209146817, 1.5899197755949745, 1.7480835332348119, 1.9685025803237939, 2.2269662956435154, 2.4860229569294412, 2.7127781825683321, 2.88894141109364, 3.0121257099290584, 3.0904699282681709, 3.1357245957052422, 3.1583451724642804, 3.1651147665499186], [1.0415300999873158, 1.0344674781924421, 1.0091210254793299, 0.97204596675430488, 0.94381579844727903, 0.94349913025401033, 0.98672153069879065, 1.0840664069976249, 1.220421222518298, 1.3334146554143156, 1.3643460888901113, 1.3249521159250666, 1.2593179272771602, 1.1950423314802405, 1.1411908335148433, 1.0985237656268876, 1.0653778087047274, 1.0398066250006555, 1.0201685044802371, 1.0052067305412156, 0.99399508788142554, 0.98586427187196934, 0.98033978783420606, 0.97709606629726165, 0.97592477467744854, 0.97671435630304881, 0.97943844145059433, 0.9841516930085078, 0.9909925712242349, 1.000193438657762, 1.0120995082276172, 1.0271995826225213, 1.0461736926265406, 1.0699662072340512, 1.0998988067202913, 1.1378477791552861, 1.1865278773875363, 1.2499565638049022, 1.3342274180315399, 1.4488079157319147, 1.6086613517581887, 1.8372762301326233, 2.1685069399277284, 2.6336335467576886, 3.1814921407997616, 3.4879053431151736, 3.1232924998495513, 2.3480861989680348, 1.6931869374675006, 1.2797196848934138, 1.0365132837571054, 0.89229829919516068, 0.80407202171286651, 0.74817304473416413, 0.71157265815563386, 0.68689552359639139, 0.66982082285561551, 0.65772962950314562, 0.64898394367146428, 0.64253002510571544, 0.63767285432000231, 0.63394379131632306, 0.63102062069008913, 0.62867794196958482, 0.62675563586700322, 0.62513837840311504, 0.62374206859756687, 0.62250467738040249, 0.62137998125756211, 0.62033321424184273, 0.61933801922265519, 0.61837429672236555, 0.61742668724368699, 0.6164835139061593, 0.61553607337337191, 0.6145782068377359, 0.61360611683553468, 0.61261842571132263, 0.61161650281843938, 0.6106051258220746, 0.60959359467453267, 0.60859749730435764, 0.60764145462588059, 0.60676338601740065, 0.60602120272264837, 0.60550348460272729, 0.60534687911445406, 0.60576519930974837, 0.6070995965199546, 0.60990821476805535, 0.61513321496811324, 0.62442750598583507, 0.64083161510098474, 0.67027345961318452, 0.72515944327680248, 0.83372219923639046, 1.0659628693864274, 1.5989722178124361, 2.7009657340503392, 3.5347740366081535, 2.8249712394807829, 2.0114666095032301, 1.5459298679808364, 1.2869193798870289, 1.1324218945343083, 1.0334151497922341, 0.96608430146596536, 0.91807429073473346, 0.88252658161842301, 0.85539961453871516, 0.83418764982970517, 0.81726894399180217, 0.80355495904839014, 0.79229203449921326, 0.78294433103754124, 0.77512210156251871, 0.76853627126008717, 0.76296883655943382, 0.75825307870132763, 0.75426004023418747, 0.75088910092427452, 0.748061300206455, 0.74571454029409334, 0.7438001043333522, 0.74228011367146052, 0.74112567096968873, 0.74031551711760812, 0.73983508511827623, 0.73967587286442205, 0.73970144872275023, 0.73977824431184658, 0.73990646406713456, 0.74008645002880502, 0.74031868382907429, 0.74060378950533767, 0.74094253717114189, 0.74133584758670878, 0.74178479768173178, 0.7422906270948294, 0.74285474580726185, 0.74347874296268923, 0.7441643969816385, 0.74491368709697403, 0.74572880645889694, 0.74661217698103066, 0.74756646612807909, 0.74859460587732241, 0.74969981412424958, 0.75088561884674943, 0.75215588539392353, 0.75351484732715879, 0.75496714131278231, 0.75651784665199839, 0.75817253013603714, 0.75993729703666868, 0.76181884918966492, 0.76382455130587046, 0.76596250685927669, 0.76824164516222015, 0.77067182155629932, 0.77326393303774155, 0.77603005211652298, 0.77898358230291187, 0.78213943935421959, 0.78551426333815222, 0.78912666772889728, 0.79299753321807409, 0.79715035578396509, 0.80161166094340153, 0.80641149917190869, 0.81158404144361829, 0.81716829901387134, 0.8232089983621278, 0.82975765120800804, 0.83687387152136017, 0.84462700761189424, 0.85309817934457177, 0.8623828406433327, 0.87259402916638917, 0.88386652344188432, 0.89636221043447384, 0.91027708493682047, 0.92585047389199182, 0.94337733095036069, 0.9632248219462336, 0.98585498843153718, 1.011856143120285, 1.0419869954157572, 1.0772396167837508, 1.1189307068573515, 1.1688359683947498, 1.2293908923537631, 1.3039943918568242, 1.3974704591659579, 1.5167633242249103, 1.6719364916385298, 1.877398397763764, 2.1525455433618652, 2.5182358821628705, 2.977194594757087, 3.4539605305995198, 3.7125355361364254, 3.4807207454585392, 2.8479777678047942, 2.1784245383786889, 1.6731108740305314, 1.3395377907832497, 1.128714415595278, 0.99678470273899311, 0.91461907963624467, 0.86433634614341071, 0.83512728089492161, 0.8204248931436452, 0.81621018417096969, 0.82002919628294968, 0.83042417149054737, 0.84660328345390123, 0.86825011061135016, 0.89541781951207988, 0.92847742882200568, 0.96810308114565524, 1.0152846230548029, 1.0713611731724528, 1.1380692147489031, 1.2175939116930732, 1.3125994409156594, 1.4261864495089693, 1.56167123649315, 1.7219890659467132, 1.908395977942497, 2.1180584330091263, 2.3403681055389054, 2.5530100835763441, 2.721332322010217, 2.8063979772811254, 2.7824963687358233, 2.6528608666310864, 2.4484656309771391, 2.2107277057393566, 1.974057368094889, 1.7589159627175892, 1.5735968613400537, 1.418845148775848, 1.2917885127093542, 1.1883448552568019, 1.1044255979911346, 1.0364255590687645, 0.98135402864361965, 0.93680936720460439, 0.90089848474939616, 0.8721469797077277, 0.84941811777315335, 0.83184617745697098, 0.81878440475621161, 0.8097659602969538, 0.80447588297788564, 0.80273233923610665, 0.80447588297785333, 0.80976596029689052, 0.81878440475621705, 0.83184617745696587, 0.84941811777311327, 0.87214697970774102, 0.90089848474939249, 0.9368093672046075, 0.98135402864359311, 1.0364255590687816, 1.104425597991209, 1.1883448552569, 1.2917885127092215, 1.4188451487758424, 1.5735968613399347, 1.7589159627175328, 1.974057368094833, 2.2107277057396102, 2.4484656309767434, 2.6528608666309283, 2.7824963687358162, 2.8063979772811281, 2.7213323220101397, 2.5530100835763103, 2.3403681055388814, 2.1180584330091268, 1.9083959779424731, 1.7219890659466239, 1.5616712364932224, 1.4261864495091059, 1.3125994409156354, 1.2175939116930941, 1.1380692147489653, 1.0713611731724775, 1.0152846230548207, 0.96810308114562538, 0.92847742882199846, 0.89541781951209876, 0.8682501106113506, 0.84660328345390945, 0.83042417149056913, 0.8200291962829459, 0.81621018417098401, 0.82042489314366795, 0.83512728089491739, 0.86433634614344135, 0.91461907963619582, 0.9967847027389799, 1.1287144155952269, 1.3395377907830399, 1.6731108740306826, 2.1784245383795309, 2.847977767805252, 3.4807207454576998, 3.712535536136222, 3.4539605305992738, 2.9771945947565497, 2.5182358821625002, 2.1525455433616636, 1.8773983977636357, 1.6719364916383566, 1.5167633242248999, 1.3974704591659854, 1.3039943918568224, 1.2293908923537746, 1.1688359683947751, 1.118930706857368, 1.0772396167837235, 1.0419869954157208, 1.0118561431203192, 0.98585498843153063, 0.96322482194623449, 0.94337733095037923, 0.92585047389201036, 0.91027708493683401, 0.89636221043446795, 0.88386652344187444, 0.87259402916638906, 0.86238284064332105, 0.85309817934457133, 0.84462700761190279, 0.83687387152134884, 0.82975765120799194, 0.82320899836211781, 0.81716829901387222, 0.81158404144362273, 0.80641149917191068, 0.80161166094339598, 0.79715035578395288, 0.79299753321807076, 0.78912666772889661, 0.78551426333814511, 0.78213943935421237, 0.77898358230290543, 0.77603005211652831, 0.77326393303774232, 0.77067182155628744, 0.76824164516221705, 0.76596250685926681, 0.76382455130586524, 0.76181884918966503, 0.75993729703666835, 0.75817253013603347, 0.7565178466519964, 0.75496714131277709, 0.75351484732715768, 0.75215588539393308, 0.7508856188467472, 0.74969981412425746, 0.74859460587732729, 0.74756646612808297, 0.74661217698102722, 0.74572880645890183, 0.74491368709698635, 0.74416439698163672, 0.74347874296269556, 0.7428547458072603, 0.74229062709483207, 0.74178479768173289, 0.74133584758670856, 0.740942537171139, 0.74060378950534123, 0.74031868382906907, 0.74008645002880524, 0.73990646406713778, 0.73977824431185113, 0.73970144872275101, 0.73967587286441094, 0.73968865890483526, 0.73972702834535042, 0.73979101516863544, 0.73988067609542219, 0.73999609070939121, 0.74013736163270671, 0.74030461475292264, 0.74049799950236594, 0.74071768919112557, 0.7409638813950008, 0.74123679840027767, 0.74153668770709991, 0.7418638225938422, 0.74221850274476275, 0.74260105494400841, 0.74301183383895508, 0.74345122277645093, 0.74391963471584266, 0.74441751322312566, 0.74494533355075054, 0.74550360380873137, 0.7460928662323344, 0.74671369855290304, 0.74736671547884359, 0.74805257029415773, 0.74877195658308959, 0.74952561008993546, 0.75031431072432975, 0.75113888472282864, 0.75200020697914916, 0.75289920355653062, 0.75383685439683534, 0.75481419624273438, 0.75583232579082915, 0.75689240309563255, 0.75799565524594137, 0.75914338033803219, 0.7603369517720272, 0.76157782290125131, 0.76286753206716307, 0.7642077080560673, 0.76560007601839986, 0.76704646389495312, 0.76854880940059245, 0.77010916762087456, 0.77172971928430822, 0.7734127797796998, 0.77516080899693129, 0.77697642207876816, 0.77886240118228267, 0.78082170836084508, 0.78285749969156659, 0.78497314078955815, 0.78717222386865127, 0.78945858652959511, 0.79183633248120733, 0.79430985442840585, 0.79688385939313466, 0.79956339677284893, 0.80235388948428488, 0.80526116859178365, 0.80829151187893544, 0.81145168689151714, 0.81474899906195719, 0.81819134562045548, 0.82178727611168956, 0.82554606046842605, 0.82947776575205867, 0.83359334285680486, 0.83790472469841215, 0.84242493767454185, 0.8471682285044122, 0.85215020893988758, 0.85738802130450897, 0.86290052837923792, 0.86870853183675212, 0.8748350242592744, 0.88130548079449356, 0.88814819775788401, 0.89539468703538627, 0.90308013705673518, 0.91124395349259568, 0.91993039580659874, 0.92918932953148992, 0.93907711884921286, 0.94965769002292277, 0.96100380382039485, 0.9731985847730581, 0.98633736757644475, 1.0005299370125553, 1.0159032585999195, 1.0326048242649168, 1.0508067726897903, 1.070710990282659, 1.0925554594186724, 1.1166222002117452, 1.1432472562325349, 1.1728333099850776, 1.2058656877416762, 1.2429327311486238, 1.284751774071148, 1.3322022488293417, 1.3863676942907928, 1.4485884884439235, 1.5205266015664225, 1.6042417158104167, 1.7022728473708819, 1.8177072726207144, 1.9541912490219076, 2.1157797471715654, 2.3064099996050245, 2.5285866143618807, 2.7805991434065662, 3.0514977441592679, 3.3140147698947571, 3.5193523531914606, 3.6041179490983168, 3.5188865553770494, 3.2646924793384033, 2.8992221869105341, 2.5013483575564992, 2.1314520092782043, 1.8183892345985053, 1.5673262892022759, 1.3716832886813728, 1.2212554922514098, 1.1061078516036404, 1.0179249766863379, 0.85756159223694017, 0.78278276110926226, 0.74778449489731702, 0.73238757441670965, 0.72703643637176274, 0.72686442854825695, 0.72922543511482829, 0.73260048068230421, 0.7360843543913399, 0.73913182221864293, 0.7414256026969519, 0.7428031653662015, 0.74321225373888866, 0.7426804500182026, 0.74129178616526215, 0.73916737152476453, 0.73644900619245657, 0.7332856321011344, 0.72982271994372239, 0.72619460939167457, 0.72251962029816053, 0.71889756151857165, 0.71540914390002075, 0.71211676901640708, 0.70906620075900484, 0.70628870672144695, 0.70380335444804676, 0.70161924434580147, 0.69973754456871973, 0.69815325846351162, 0.69685670195086891, 0.69583469890002236, 0.69507152059391952, 0.69454960428192603, 0.69425008860214033, 0.69415320267676683, 0.69423854263090834, 0.69448526527952337, 0.69487222445827235, 0.69537807131979812, 0.69598133604879764, 0.69666050491585219, 0.69739410336976326, 0.69816079292137434, 0.69893948685646057, 0.6997094873165276, 0.70045064401596724, 0.7011435328693949, 0.70176965115972256, 0.70231162468432906, 0.70275342168318511, 0.70308056838876998, 0.70328036184483955, 0.70334207730442611, 0.703257170112915, 0.70301947558366651, 0.70262541508323539, 0.70207422253037421, 0.7013682130756882, 0.70051312538341848, 0.69951858154007929, 0.69839872555543692, 0.69717312489184002, 0.69586805290772269, 0.69451831894107041, 0.69316988554676673, 0.69188362283142224, 0.69074072013321097, 0.68985054218497155, 0.68936214209464786, 0.68948133269531053, 0.69049635565592082, 0.69281710281996267, 0.69703613261308672, 0.70402548559938594, 0.71509359128371819, 0.7322452205576, 0.75862154676943871, 0.79925899582070681, 0.86241033571469972, 0.96181373666777792, 1.1203039625168973, 1.3740469199795518, 1.7704638456802693, 2.3328740952047271, 2.9524350635527576, 3.3284541550076807, 3.2677189170671177, 2.928853949585009, 2.5436071110022689, 2.2163183978544367, 1.9630819967161517, 1.7717935651441323, 1.6269443163056057, 1.5159443321608992, 1.4296593198799432, 1.361671346474707, 1.3074897121529445, 1.2639532220721381, 1.2288179344420462, 1.2004814248048623, 1.1778000655331682, 1.1599684951397591, 1.146441031816033, 1.1368822071947091, 1.1311385429241916, 1.1292269297802413, 1.1313369514297595, 1.1378451791735604, 1.1493378704553312, 1.1666314633934374, 1.1907590762477485, 1.2228335036704796, 1.263550643914475, 1.3117712977213467, 1.3611444663728904, 1.3943136176902255, 1.3807193368114274, 1.296758032931137, 1.1639821250888716, 1.0386855193032332, 0.95753887244122782, 0.92458559875890178, 0.93045682508331606, 0.9628966121371848, 1.0045713773613625, 1.0334948628841008, 1.0415300999873158, 1.0363714512224087, 1.017612653766556, 0.98579443900106556, 0.95116321407158599, 0.92520982469257584, 0.91590502503239846, 0.92891164096409395, 0.96918526873082333, 1.0398344979275458, 1.1370051058513342, 1.2434347801918468, 1.3308626821563529, 1.3771588366115224, 1.3807671671033115, 1.3554826897248695, 1.3169521347902049, 1.2757586998047945, 1.2372649339094026, 1.2035322225687901, 1.1749531003324354, 1.1512058161339036, 1.131728179678982, 1.11592857390501, 1.1032689830945681, 1.093290106454311, 1.0856121707915034, 1.079926796338277, 1.0759866081062877, 1.0735953088701511, 1.0725991599142075, 1.0728800634551645, 1.07435014942787, 1.0769476817365033, 1.0806340976091742, 1.0853920258150254, 1.0912241728046217, 1.0981530118301743, 1.1062212568190677, 1.1154931513767692, 1.1260566567904204, 1.1380266856719294, 1.1515496059596357, 1.1668093416340206, 1.1840355331638761, 1.2035144085347156, 1.2256032775739727, 1.2507499301018319, 1.279518735619235, 1.312625963646207, 1.3509878271516604, 1.3957860220247753, 1.448556974937482, 1.5113120407784353, 1.5866945946535789, 1.6781707458487403, 1.790217821379654, 1.9283780650879008, 2.0987833686588351, 2.3061158222958378, 2.5476801674822891, 2.7999896887921145, 2.9987852779659345, 3.0379751693942421, 2.8387825176327359, 2.4499438658053174, 2.0157494603681125, 1.6465256503283483, 1.3740934126712385, 1.186194278576213, 1.0601858150020504, 0.97651510427382249, 0.92117445300610412, 0.88476589747586232, 0.86110928896356476, 0.84614080556445526, 0.83716400355177378, 0.83236628836446513, 0.83051141758470037, 0.83074373106227539, 0.83246241947541366, 0.8352397809053751, 0.83876735027084004, 0.84281990992722267, 0.84723113510088388, 0.85187692630802159, 0.85666390446749596, 0.86152143740774201, 0.86639613550510752, 0.87124812396777684, 0.87604864600488652, 0.88077872233502641, 0.88542871888302155, 0.88999877714887132, 0.89450015668309257, 0.89895764083524388, 0.90341328125967901, 0.90793192405121959, 0.91260920056996508, 0.91758302507986467, 0.9230501931499302, 0.92929053966970954, 0.93670248845929049, 0.94585601205152714, 0.95757244316371803, 0.97304558537627284, 0.99402428802359832, 1.0230758317671333, 1.0639070317250545, 1.12148890665273, 1.200770560441468, 1.2997331342715377, 1.3894927296088038, 1.4038957501900786, 1.3252698656803992, 1.2456524429008393, 1.2363050470733081, 1.3027673448158554, 1.4304130285018288, 1.6037767957552398, 1.8067145810300214, 2.0211279672665166, 2.2285315935175851, 2.413386096619571, 2.5657457076592727, 2.6816672773992756, 2.7615984052500018, 2.8079761361852271, 2.8231291238767331], [1.1946632348706498, 1.1757491322641098, 1.1277943687756808, 1.0694706299977117, 1.0168436357310968, 0.97934390490101719, 0.96313704022581326, 0.97633552224013198, 1.0340236119373443, 1.1605053544458823, 1.3732585239460269, 1.6215486137049919, 1.7638326878882862, 1.7397443350174249, 1.6306476523467945, 1.5141425777974675, 1.4175138164634427, 1.3432855723663086, 1.2874692949862263, 1.2456568485555393, 1.214370853715391, 1.1911054321925016, 1.1741097523205843, 1.1621793566636938, 1.1545023920870767, 1.1505560568806952, 1.1500407433082871, 1.1528416489615538, 1.1590113666098329, 1.1687703277361994, 1.1825249609746051, 1.2009064980690409, 1.2248371972426222, 1.2556363382382871, 1.295187210447424, 1.3462009318720729, 1.412636973364195, 1.5003774309310562, 1.6182971507089128, 1.779865623175064, 2.0050471116700694, 2.320170778528952, 2.74477151880218, 3.2310432551071022, 3.5346324480072382, 3.2989813645033248, 2.6216073454538908, 1.9536793284039957, 1.4900023315947193, 1.2026846645601679, 1.0275047276961342, 0.91867606267994484, 0.84909212154988434, 0.80325384173900893, 0.77220240635088655, 0.75062566154644839, 0.73528072687791579, 0.72413061529177825, 0.71586148984322806, 0.70960538909532422, 0.70477647131515375, 0.70097166729374072, 0.69790887366699617, 0.69538759985298548, 0.69326337512488034, 0.69143078077678077, 0.68981200284659416, 0.68834898750698326, 0.68699799059912725, 0.68572574602001812, 0.68450674775551079, 0.6833213121734103, 0.68215419886834783, 0.68099364279841046, 0.67983070182899186, 0.6786588611932669, 0.67747386601942616, 0.67627377973840208, 0.6750592942543131, 0.67383435220719456, 0.6726071892921216, 0.67139197596004063, 0.67021135046630032, 0.66910031977167228, 0.66811231655253855, 0.66732874273297993, 0.66687430139414894, 0.66694221662643893, 0.66783688832346566, 0.67004840853252079, 0.67438772338166841, 0.6822427382629126, 0.69608886772900314, 0.72056858271566704, 0.76493293960626807, 0.84897952743657845, 1.0184234278325728, 1.3838453903717687, 2.1713282609257836, 3.3168654691085333, 3.4013066826886056, 2.5685041168188731, 1.930044556039703, 1.5596377465564317, 1.3412136603349565, 1.2041413585238077, 1.1127977565408191, 1.0488013368944258, 1.0021122365783579, 0.96692028103919492, 0.93968479280092221, 0.91814974602431654, 0.90082177442800559, 0.88667956026587413, 0.87500479845658685, 0.86528000438338937, 0.85712459668062446, 0.85025370474485651, 0.84445091195346433, 0.83954979652796868, 0.83542117416785822, 0.8319641259608721, 0.82909959625386154, 0.82676577330773071, 0.8249147335648781, 0.82351000217806958, 0.82252479529808298, 0.82194078572186458, 0.82174728650813478, 0.82177826441874069, 0.82187128304712354, 0.82202659759028918, 0.82224463507319234, 0.82252599691430051, 0.82287146255862709, 0.82328199422071879, 0.8237587427931885, 0.82430305499110079, 0.82491648181810862, 0.82560078845803342, 0.82635796571468656, 0.82719024314544243, 0.82810010405812007, 0.82909030257065874, 0.83016388296469235, 0.83132420160340015, 0.83257495172765028, 0.83392019149659891, 0.83536437569968325, 0.83691239163823794, 0.83856959976022405, 0.84034187973118946, 0.84223568274487237, 0.84425809101977967, 0.84641688559949846, 0.84872062378189039, 0.85117872775232928, 0.8538015863003674, 0.85660067186995326, 0.85958867564777686, 0.86277966395328509, 0.86618925988503104, 0.86983485503636637, 0.87373585716527791, 0.87791398104820928, 0.88239359144434415, 0.88720210925096532, 0.89237049467882545, 0.89793382480863704, 0.90393198745441805, 0.91041051920281646, 0.91742162328860788, 0.92502541325793974, 0.93329144207026227, 0.94230059467894289, 0.95214744702450971, 0.9629432283840853, 0.9748195709208558, 0.98793329560118603, 1.0024725755682375, 1.0186649488049537, 1.0367878399431854, 1.0571825245399677, 1.0802728714067491, 1.1065907969094984, 1.1368112643909725, 1.1718010252069773, 1.2126873764778763, 1.2609563785194584, 1.3185947440999304, 1.3882965274144754, 1.4737648033762305, 1.5801469660840146, 1.7146368516983164, 1.8872086665436723, 2.1111534482579399, 2.4020724020074384, 2.7710009023154383, 3.2010199884298145, 3.59594598810693, 3.7460111499555575, 3.4739537924213328, 2.8898687540673991, 2.2763000820100903, 1.7954527356771988, 1.4640796811212502, 1.2468356666238292, 1.1068963966035485, 1.0177187313694682, 0.96208028487688502, 0.92914719547712354, 0.91214111406417298, 0.90682121853236475, 0.91055483195452813, 0.92175880975535884, 0.93956610268387297, 0.96362939330184483, 0.9940102358080789, 1.0311237778545315, 1.0757215231639992, 1.1289011267464757, 1.192134401812019, 1.2673023773864882, 1.3567172976642292, 1.4630912172769244, 1.5893712586082174, 1.7382923718857182, 1.9113971034374275, 2.1071805545697315, 2.3181148149519206, 2.5270191207393466, 2.7050599388936951, 2.8158391942593393, 2.8286325986188192, 2.7350831092010197, 2.5553212781568586, 2.326936671753614, 2.0871223994314834, 1.8615572387982733, 1.6630023481864402, 1.4949528198512545, 1.3558422089839626, 1.2420045865734499, 1.1493162860849355, 1.073949205691866, 1.0126370189135168, 0.96270998159497223, 0.9220359644548487, 0.88893401184318599, 0.8620890897471567, 0.8404784861887844, 0.82331220389718196, 0.80998644226456518, 0.80004825221748221, 0.79316938288141414, 0.78912763259888552, 0.78779441287388408, 0.78912763259885932, 0.79316938288136374, 0.80004825221748621, 0.8099864422645584, 0.82331220389714987, 0.84047848618879262, 0.86208908974715281, 0.88893401184319032, 0.92203596445483094, 0.96270998159498422, 1.0126370189135721, 1.0739492056919357, 1.1493162860848356, 1.2420045865734441, 1.3558422089838758, 1.4949528198512145, 1.6630023481863989, 1.8615572387985024, 2.0871223994310859, 2.3269366717534234, 2.5553212781568861, 2.7350831092008807, 2.8286325986188077, 2.815839194259306, 2.7050599388936649, 2.5270191207393329, 2.3181148149518864, 2.1071805545696143, 1.911397103437511, 1.7382923718858885, 1.589371258608183, 1.4630912172769506, 1.35671729766431, 1.2673023773865226, 1.1921344018120448, 1.1289011267464348, 1.0757215231639914, 1.0311237778545572, 0.99401023580807979, 0.96362939330185704, 0.93956610268390062, 0.92175880975535407, 0.91055483195454512, 0.90682121853238551, 0.91214111406416643, 0.92914719547714686, 0.96208028487685082, 1.0177187313694613, 1.1068963966035112, 1.2468356666236922, 1.4640796811213583, 1.795452735677785, 2.2763000820104944, 2.8898687540664723, 3.4739537924211352, 3.7460111499553794, 3.5959459881064588, 3.2010199884293478, 2.7710009023151434, 2.4020724020072439, 2.1111534482576935, 1.8872086665436454, 1.7146368516983543, 1.5801469660840115, 1.4737648033762514, 1.3882965274145103, 1.3185947440999564, 1.260956378519418, 1.2126873764778245, 1.171801025207025, 1.1368112643909629, 1.1065907969095017, 1.0802728714067729, 1.0571825245399931, 1.0367878399432029, 1.018664948804946, 1.002472575568224, 0.98793329560118792, 0.9748195709208417, 0.96294322838408508, 0.95214744702451981, 0.94230059467892813, 0.93329144207024306, 0.92502541325792709, 0.91742162328860999, 0.91041051920282245, 0.90393198745441961, 0.89793382480863027, 0.8923704946788098, 0.88720210925096188, 0.8823935914443426, 0.87791398104820073, 0.87373585716526869, 0.86983485503635816, 0.86618925988503703, 0.86277966395328565, 0.85958867564776154, 0.85660067186994904, 0.85380158630035585, 0.85117872775232284, 0.84872062378189128, 0.84641688559949846, 0.84425809101977423, 0.84223568274487015, 0.84034187973118246, 0.83856959976022194, 0.83691239163824871, 0.83536437569968058, 0.83392019149660945, 0.83257495172765583, 0.83132420160340537, 0.83016388296468835, 0.82909030257066485, 0.82810010405813472, 0.82719024314544032, 0.82635796571469367, 0.82560078845803297, 0.82491648181811139, 0.82430305499110135, 0.82375874279318817, 0.82328199422071502, 0.82287146255863164, 0.82252599691429462, 0.82224463507319256, 0.82202659759029284, 0.82187128304712886, 0.82177826441874147, 0.82174728650812179, 0.82176277311667034, 0.82180924720003246, 0.82188675156407454, 0.82199535766070886, 0.82213516575173462, 0.82230630513916758, 0.82250893446303441, 0.8227432420681281, 0.82300944644126173, 0.82330779672088317, 0.82363857328156953, 0.824002088395831, 0.82439868697647223, 0.82482874740268275, 0.82529268243397358, 0.82579094021609933, 0.82632400538380957, 0.82689240026576483, 0.82749668619753425, 0.8281374649489599, 0.82881538027353241, 0.82953111958715553, 0.8302854157852454, 0.83107904920787101, 0.83191284976313851, 0.83278769922064955, 0.83370453368757347, 0.83466434628159736, 0.83566819001581105, 0.83671718091270408, 0.83781250136599017, 0.83895540377070699, 0.84014721444436868, 0.84138933786422176, 0.84268326124845383, 0.8440305595116947, 0.84543290062909227, 0.84689205144620927, 0.8484098839767622, 0.84998838223439177, 0.85162964964980847, 0.85333591713121171, 0.85510955183128101, 0.8569530666927756, 0.85886913085207961, 0.86086058099055562, 0.86293043373355349, 0.86508189920984835, 0.86731839589799853, 0.86964356690224753, 0.87206129781894404, 0.87457573637510189, 0.87719131404520967, 0.87991276987966793, 0.88274517681021925, 0.88569397073437661, 0.88876498272362159, 0.89196447474867346, 0.89529917937337189, 0.8987763439343045, 0.90240377980159259, 0.90618991740712174, 0.91014386783263479, 0.91427549187626589, 0.91859547766268956, 0.92311542803777646, 0.92784795919440688, 0.93280681222292938, 0.93800697957174251, 0.943464848754621, 0.94919836606052432, 0.95522722352729894, 0.9615730730498363, 0.96825977223115345, 0.97531366748123616, 0.98276392096106169, 0.99064288930580346, 0.9989865637018559, 1.0078350829149418, 1.0172333333665551, 1.0272316534617307, 1.0378866632397021, 1.0492622452591818, 1.0614307087081565, 1.0744741763852292, 1.0884862438857181, 1.103573972611964, 1.1198602938609308, 1.1374869211792062, 1.1566178936403788, 1.1774439052387968, 1.2001876171180177, 1.2251102021502711, 1.2525194380099021, 1.2827797478408371, 1.3163246885061834, 1.353672504060319, 1.3954454885672902, 1.4423940148459495, 1.4954261297837952, 1.5556434736287477, 1.6243837015239171, 1.7032680649558321, 1.7942493435838454, 1.8996479519377043, 2.0221491143899932, 2.1647050058854966, 2.3302324348853545, 2.5209070359779728, 2.736730007828569, 2.9729489991019964, 3.2161084619871954, 3.4395944255507365, 3.6021771082987151, 3.6559377377521765, 3.5669457435538638, 3.3379748185694322, 3.0116551465509587, 2.6482705677776761, 2.2986264795814431, 1.9916784259921654, 1.7369987100091224, 1.5325684829373354, 1.3714076005892073, 1.245452219376852, 1.1473113892338889, 1.0708372506244683, 1.0111521143901352, 0.89923409473338423, 0.8454648948815362, 0.82062455015364577, 0.81079312197918885, 0.80890001174547121, 0.8111153558709765, 0.81523945544273091, 0.81994695734534717, 0.82441570560164812, 0.82813682164066738, 0.83081282469610995, 0.83229885955751215, 0.8325646431098056, 0.83166603286469887, 0.82972111853230457, 0.82688897928561944, 0.82335088711923132, 0.81929437806581573, 0.81490065458471883, 0.81033552076718185, 0.805743705079913, 0.80124613152236801, 0.79693952341879681, 0.79289767181025961, 0.78917374611319246, 0.78580312969562993, 0.78280639113616368, 0.78019212676822758, 0.77795951642061345, 0.77610051605077568, 0.77460166844785006, 0.77344554991302505, 0.77261189157226773, 0.77207842340967181, 0.77182149116407039, 0.77181649389802776, 0.77203818542871017, 0.77246087726338053, 0.77305857501345032, 0.77380507488520267, 0.77467404192441158, 0.77563908724247232, 0.77667385741083661, 0.77775214550147098, 0.77884802980221868, 0.77993604301735509, 0.78099137178592914, 0.78199008367458289, 0.78290937652907322, 0.7837278433322189, 0.78442574466150861, 0.78498528060875827, 0.78539085473929993, 0.78562932441601041, 0.78569023464898846, 0.78556603657981761, 0.78525229679327013, 0.78474790992738575, 0.78405533467493915, 0.78318088255614182, 0.78213510038514167, 0.78093330216267276, 0.77959632582702088, 0.77815161743808059, 0.7766347838988561, 0.7750918113351174, 0.77358222925200015, 0.77218362550765729, 0.77099810783896061, 0.77016160278992507, 0.76985734603331046, 0.77033565553626859, 0.7719432710678602, 0.77516749994516476, 0.78070366743000674, 0.78955986867234729, 0.80322238216074282, 0.8239210611559018, 0.85506075575244311, 0.9019270642248387, 0.97283025758107611, 1.0808762638083795, 1.2463298108284011, 1.4982462844685356, 1.8694445426547328, 2.3688412676462858, 2.917464990580859, 3.3167682581449665, 3.3989466235794739, 3.206367156428704, 2.8992878876179318, 2.5937611999159929, 2.3341439774802955, 2.126339577718916, 1.9632783076046965, 1.8357352288861661, 1.7356894197874282, 1.6569365765798161, 1.5948903344427237, 1.5462324120846209, 1.5086028601693797, 1.4803684354866478, 1.4604636468862693, 1.4482908460947173, 1.4436675549997804, 1.4468125389238036, 1.4583632008819263, 1.4794109425432707, 1.51151614272962, 1.5565870760153018, 1.6162908764149972, 1.6901224473626741, 1.7702318627031741, 1.8310134496298982, 1.8208175407117624, 1.6903939247080126, 1.4659718866770155, 1.2426344373309213, 1.0833503118227978, 0.99220744408756834, 0.95146693675912131, 0.94526478039324013, 0.964186640988, 1.0032734933446208, 1.058298358312358, 1.1207505908236239, 1.1734920491626708, 1.1946632348706498, 1.1803193680481034, 1.1423933330787677, 1.0925269026398998, 1.0420782542283504, 0.99840647138974281, 0.96515810188032913, 0.94412295517277844, 0.93696016071646226, 0.9464547598864359, 0.97744135050442371, 1.0372845686723213, 1.134920476013602, 1.2759686218963862, 1.4515598275662009, 1.627417779238064, 1.7545896510477745, 1.8049408569365184, 1.788636963026137, 1.7346902947034539, 1.6680025973103016, 1.6026533651255457, 1.5445688404738178, 1.4953272236838655, 1.4546142116565797, 1.4214583976840813, 1.3947726946669556, 1.3735622026043146, 1.356986062593067, 1.3443606623956743, 1.3351424476394926, 1.3289061887326736, 1.3253247450221468, 1.3241522334802838, 1.3252108666967306, 1.3283811522504851, 1.333595017874676, 1.3408314745088461, 1.3501145398399481, 1.3615132750082835, 1.3751439242000258, 1.3911742918852441, 1.4098306531186313, 1.4314076797393425, 1.4562820925897126, 1.4849310299198488, 1.5179564623368103, 1.5561173728709052, 1.6003717914134035, 1.6519309253815262, 1.7123270369736963, 1.783494089336956, 1.8678524539600181, 1.9683690636486069, 2.088516524003361, 2.2319458196088147, 2.401457753260297, 2.5964430036896555, 2.8074828947364234, 3.0073337858444238, 3.1424519932436237, 3.1413999741059224, 2.9586804040232284, 2.625682155352866, 2.2367564237260904, 1.8795013284946014, 1.5944842461606006, 1.384296499574071, 1.2355150993145376, 1.1323289537300194, 1.0615509243839654, 1.0134371952246743, 0.98113593111423192, 0.95991620773377406, 0.94652151591198008, 0.93869987959431866, 0.93488076623887029, 0.93395761891532536, 0.9351422575861672, 0.93786712654469384, 0.94171920989901503, 0.94639496033031412, 0.95166927211235475, 0.9573739361370569, 0.96338257646223391, 0.96960008376304108, 0.97595522731852191, 0.98239557018353663, 0.98888411313183644, 0.99539730445763452, 1.0019242099150671, 1.0084667647659082, 1.0150411475794883, 1.0216804411462468, 1.0284389000028173, 1.0353983539111011, 1.0426775831039976, 1.0504459697429536, 1.0589434695455753, 1.0685101414743619, 1.0796304313409928, 1.0930006340356273, 1.1096332053950366, 1.1310195722336907, 1.1593825486932519, 1.1980477048863312, 1.25188360218242, 1.3273074315498434, 1.4293877779021706, 1.5474669059427657, 1.6191110021650645, 1.5409849908296582, 1.3427987503894363, 1.173017418175605, 1.0880774291431718, 1.0726199887102605, 1.1061725769838593, 1.1768187147756546, 1.2778652707748734, 1.4038482355417121, 1.5481810957170539, 1.7023887477426234, 1.8566587747973002, 2.0012020387073721, 2.1276866541420301, 2.2301033965376398, 2.3048306666531015, 2.3500964229027121, 2.36523467731325], [1.3828928558393521, 1.3596113217998875, 1.3001721018159991, 1.2262484350845559, 1.1557083496446261, 1.0976168394212049, 1.0551889173910405, 1.0300214044804905, 1.0254070404603106, 1.0494633359666772, 1.11928720561726, 1.2651395916329253, 1.5214681611333751, 1.8646725875101953, 2.1293625552778432, 2.1649806073429052, 2.0402081762976563, 1.8809816625942646, 1.7433241732480105, 1.6369409375895616, 1.5574523853692579, 1.4986143647629857, 1.4553101666385337, 1.423849999928301, 1.4016930953396354, 1.3871401829786025, 1.3791038841527807, 1.3769580085080879, 1.380448734168888, 1.3896535664832379, 1.4049806197880839, 1.4272076433351668, 1.4575674794595113, 1.4978955358887578, 1.5508670432190217, 1.6203688056075609, 1.7120701561385887, 1.8342637408228102, 1.9989582572206679, 2.222706033212424, 2.5246314054898065, 2.9125635791810423, 3.3352271161189058, 3.5986166928562549, 3.4282633073211795, 2.8487540054644063, 2.2040752658026994, 1.7123490491285034, 1.3883229392047034, 1.1831746422819931, 1.0527223732184576, 0.96803803475107442, 0.91165489604360817, 0.87314447874087575, 0.8461959641779665, 0.82690504210968507, 0.81279693320521362, 0.80226526406992749, 0.79424392749404527, 0.78801085585474584, 0.78306791366885264, 0.77906569176254548, 0.77575539338194577, 0.77295743046868715, 0.77054054477427425, 0.76840768973431828, 0.76648633588312398, 0.76472172095347735, 0.76307209250789498, 0.76150532034329188, 0.75999646576406055, 0.75852603103935612, 0.75707870260297161, 0.75564246284602199, 0.7542079884609576, 0.75276828530559348, 0.75131853565545437, 0.74985615744044187, 0.74838110033109873, 0.7468964346307545, 0.7454093317119016, 0.74393259822285784, 0.74248702530850252, 0.7411049741058745, 0.73983588502302888, 0.73875485357983717, 0.73797621610055664, 0.73767553878408942, 0.73812611844200449, 0.73976137304400102, 0.74328515273074014, 0.74987453078391797, 0.76156973366534808, 0.78206356531012977, 0.81839546349843761, 0.88482205786951162, 1.0121775100388202, 1.2707108552412565, 1.8129897330275135, 2.802601946500181, 3.6005170235426096, 3.1841035552227619, 2.4344174468867097, 1.9226501946901202, 1.6137870538147796, 1.4219839650890018, 1.2963665452695581, 1.209851457874358, 1.1476832363450806, 1.1014282699370157, 1.0660230060367695, 1.0382881964422503, 1.0161479326422413, 0.99819997831492691, 0.98346901662891562, 0.97125933278645571, 0.96106376015645845, 0.95250564289423434, 0.94530082082599631, 0.93923212236550313, 0.93413188466762498, 0.92986975420215723, 0.92634404171987539, 0.92347552304241431, 0.92120296018048831, 0.91947986079105504, 0.91827215260990058, 0.91755655562704574, 0.91731950812122098, 0.91735732302029893, 0.91747087467303923, 0.91766048460746208, 0.91792669091614187, 0.91827025160275222, 0.91869214932273968, 0.91919359757526009, 0.91977604842129645, 0.92044120182270062, 0.92119101671809389, 0.92202772397570132, 0.92295384138925984, 0.92397219091408855, 0.92508591837347454, 0.92629851590644008, 0.92761384747172537, 0.92903617777683933, 0.93057020506164689, 0.93222109823827737, 0.93399453897385554, 0.93589676940216215, 0.937934646269724, 0.94011570246202636, 0.94244821702500137, 0.94494129499914947, 0.94760495862696348, 0.95045025178948661, 0.95348935988507044, 0.95673574779944492, 0.96020431914961812, 0.96391160064020176, 0.96787595618087874, 0.97211783641912364, 0.97666007059589388, 0.98152820920355566, 0.98675092790564989, 0.9923605056865753, 0.99839339339765243, 1.00489089296449, 1.0118999728108617, 1.0194742519216895, 1.0276751939490794, 1.0365735645914673, 1.0462512211663191, 1.0568033242732988, 1.0683410897189656, 1.0809952372990863, 1.0949203457138661, 1.1103003957524993, 1.127355885584751, 1.1463530452588879, 1.1676158811684281, 1.1915420733434645, 1.2186241707524741, 1.2494781445595373, 1.2848822579349641, 1.3258305243305133, 1.3736069292479711, 1.4298892816575011, 1.4968951469289151, 1.5775864007630853, 1.6759513598139373, 1.7973764137949582, 1.949078204004574, 2.1404211776641739, 2.3824988233373268, 2.6851493932194805, 3.046927792735266, 3.4307234212299771, 3.7279225127014879, 3.7672490025711403, 3.4554279304395306, 2.9139233790391645, 2.357551797150816, 1.9097145022547373, 1.589178747786784, 1.3714882408495668, 1.2270945718869117, 1.1328920673602509, 1.0729950909212527, 1.0369702594843557, 1.0180734993263665, 1.0119803122839326, 1.0159570840027947, 1.028340140077771, 1.0482143832937851, 1.0752192585346834, 1.1094368387133233, 1.1513342268497708, 1.2017426603837869, 1.2618605619589269, 1.3332678597560077, 1.4179331494548277, 1.518180600589206, 1.6365543139719723, 1.7754666843911915, 1.9364411004593431, 2.1186818546675976, 2.316734030202638, 2.5174150836997993, 2.697417468361647, 2.8248406029104967, 2.868146828512645, 2.8108557557339839, 2.6618057553372316, 2.4511693989212153, 2.215516791684176, 1.9843159143563718, 1.7749444436844324, 1.5943842600268621, 1.4430911001846103, 1.3183206059408861, 1.2162184587509786, 1.1328990107700081, 1.0649028103863096, 1.00932991087424, 0.96382560014328256, 0.9265105630510686, 0.89589875104285577, 0.87082103719964044, 0.85036069842031936, 0.83380147667085025, 0.82058693408369887, 0.8102892568460881, 0.80258572134136164, 0.79724131631387196, 0.79409634503979454, 0.79305814539178754, 0.794096345039774, 0.79724131631383133, 0.80258572134136708, 0.81028925684608377, 0.82058693408367345, 0.83380147667085547, 0.85036069842031747, 0.87082103719964277, 0.89589875104284289, 0.92651056305107937, 0.96382560014332397, 1.0093299108742892, 1.0649028103862319, 1.1328990107700028, 1.2162184587509128, 1.3183206059408581, 1.4430911001845759, 1.5943842600270395, 1.77494444368411, 1.9843159143561953, 2.2155167916842196, 2.4511693989210164, 2.6618057553372916, 2.8108557557339715, 2.8681468285126175, 2.8248406029104651, 2.6974174683616123, 2.517415083699674, 2.3167340302027224, 2.1186818546677912, 1.9364411004592936, 1.7754666843912295, 1.6365543139720784, 1.5181806005892502, 1.417933149454861, 1.3332678597559555, 1.2618605619589147, 1.2017426603838191, 1.1513342268497724, 1.1094368387133389, 1.0752192585347202, 1.0482143832937796, 1.0283401400777905, 1.015957084002816, 1.0119803122839237, 1.0180734993263858, 1.0369702594843329, 1.0729950909212531, 1.1328920673602263, 1.2270945718868274, 1.3714882408496454, 1.5891787477871662, 1.9097145022550157, 2.3575517971501183, 2.9139233790390904, 3.4554279304396194, 3.7672490025711607, 3.7279225127011393, 3.4307234212296285, 3.0469277927350045, 2.6851493932191257, 2.3824988233372775, 2.1404211776642157, 1.9490782040045687, 1.7973764137949808, 1.6759513598139804, 1.5775864007631197, 1.4968951469288592, 1.4298892816574316, 1.3736069292480344, 1.3258305243305017, 1.2848822579349666, 1.2494781445595711, 1.2186241707525076, 1.1915420733434852, 1.1676158811684165, 1.1463530452588708, 1.1273558855847521, 1.11030039575248, 1.0949203457138672, 1.0809952372990987, 1.0683410897189471, 1.0568033242732735, 1.0462512211663035, 1.0365735645914687, 1.0276751939490856, 1.0194742519216928, 1.0118999728108531, 1.0048908929644702, 0.99839339339764754, 0.99236050568657452, 0.98675092790563923, 0.98152820920354578, 0.97666007059588289, 0.97211783641913074, 0.96787595618087996, 0.96391160064018422, 0.96020431914961291, 0.9567357477994296, 0.95348935988506134, 0.9504502517894875, 0.94760495862696326, 0.94494129499914348, 0.94244821702499837, 0.94011570246201881, 0.93793464626972189, 0.9358967694021757, 0.93399453897385198, 0.93222109823828958, 0.93057020506165333, 0.92903617777684566, 0.9276138474717206, 0.92629851590644741, 0.92508591837349152, 0.92397219091408644, 0.92295384138926906, 0.92202772397569999, 0.92119101671809656, 0.92044120182270128, 0.91977604842129579, 0.91919359757525498, 0.9186921493227449, 0.91827025160274522, 0.91792669091614276, 0.91766048460746708, 0.91747087467304544, 0.91735732302029949, 0.91731950812120511, 0.91733841262835381, 0.91739514428049296, 0.91748975751304895, 0.91762234319595815, 0.91779302885084557, 0.91800197895640578, 0.91824939534332373, 0.91853551768075681, 0.9188606240565288, 0.91922503165359404, 0.91962909752621236, 0.92007321947922627, 0.9205578370548676, 0.9210834326315096, 0.92165053264003971, 0.92225970890353903, 0.92291158010702046, 0.92360681340456774, 0.92434612617208967, 0.92513028791443641, 0.92596012233741776, 0.92683650959507391, 0.92776038872460131, 0.92873276028245411, 0.92975468919590054, 0.93082730784654066, 0.93195181940337357, 0.93312950142533413, 0.93436170975455324, 0.93564988272440808, 0.93699554570874954, 0.93840031604116647, 0.93986590833648231, 0.94139414024993129, 0.94298693871350903, 0.94464634669264491, 0.94637453051195575, 0.94817378780323369, 0.95004655613569777, 0.95199542239463852, 0.95402313298219266, 0.95613260492335794, 0.95832693796859847, 0.96060942779691361, 0.96298358043429166, 0.96545312801775141, 0.96802204605019604, 0.97069457231031275, 0.97347522760226268, 0.97636883855390055, 0.97938056269969953, 0.98251591611560329, 0.98578080390962686, 0.98918155391329599, 0.99272495396717686, 0.99641829324933184, 1.0002694081603094, 1.0042867333523999, 1.0084793585794269, 1.0128570921440034, 1.0174305318391681, 1.0222111444210464, 1.0272113548131017, 1.0324446464373593, 1.0379256742956859, 1.0436703926970112, 1.0496961998474796, 1.0560221019058318, 1.062668899564073, 1.0696594007643316, 1.0770186638225634, 1.0847742760265373, 1.0929566737377063, 1.1015995111933057, 1.1107400866244275, 1.1204198360367807, 1.1306849071193701, 1.1415868283458499, 1.1531832915345195, 1.1655390700826296, 1.1787270999819197, 1.1928297567889408, 1.2079403692677435, 1.224165019818217, 1.2416246935120019, 1.2604578521552494, 1.2808235279647731, 1.3029050539847937, 1.3269145761666334, 1.353098525956401, 1.3817442729358278, 1.4131882245181917, 1.447825692346232, 1.4861228980288761, 1.5286315328441902, 1.576006293078378, 1.6290257369045977, 1.6886165574495668, 1.7558807643531278, 1.8321239855426723, 1.9188805432351836, 2.0179260518794369, 2.1312591810689812, 2.2610179256705822, 2.4092679542144104, 2.5775570614929051, 2.7660719991010736, 2.9721874825374863, 3.1882525767834586, 3.3988305920247268, 3.5785997570135053, 3.6936741847342267, 3.7096774361644611, 3.6062940880982928, 3.3901172116499767, 3.0944460389409589, 2.7647038726351756, 2.4409843508743481, 2.1487870545510122, 1.8991109217179154, 1.6930274473743678, 1.5264408586907163, 1.3933635795337911, 1.2876970473116289, 1.2040114055305657, 1.1377785154074578, 1.0853503877534474, 1.043840974743786, 0.96454894466148522, 0.92637307609992769, 0.90987759996074336, 0.90510930401954437, 0.90666817498838492, 0.91144792061309043, 0.91756294260995563, 0.92381947901560024, 0.92944646369421535, 0.93395425885608363, 0.93705695309074599, 0.93862547579177591, 0.93865458967583126, 0.93723537659740763, 0.93452972511090282, 0.93074610440234318, 0.92611729016749522, 0.92088112958469304, 0.91526524673459275, 0.90947610619676023, 0.9036923177595565, 0.89806163883678913, 0.89270088296358807, 0.88769787143154988, 0.88311462825918063, 0.878991160509901, 0.87534933643751567, 0.87219653764304428, 0.86952889868517524, 0.86733405133085284, 0.86559336197795755, 0.86428369503852287, 0.86337875888755211, 0.8628501006608692, 0.86266781690425198, 0.86280104268322999, 0.86321827489606506, 0.86388757784716841, 0.86477671157337965, 0.8658532164170113, 0.8670844810410826, 0.86843781544471432, 0.86988054543332771, 0.87138014029527566, 0.87290438101842704, 0.87442157219439154, 0.87590079681379596, 0.87731220953522771, 0.87862736085427473, 0.87981954209260715, 0.88086413947342934, 0.88173898494221847, 0.88242469198958218, 0.88290496663407969, 0.88316688696180856, 0.88320114916450421, 0.88300228379793766, 0.88256885292585618, 0.88190364690573908, 0.88101390892794984, 0.87991162637601028, 0.87861394131116977, 0.87714374905445869, 0.87553057579740434, 0.87381185625848057, 0.87203477491611658, 0.87025889578900473, 0.86855989597733596, 0.86703485240760969, 0.86580973306574049, 0.86505005068538365, 0.86497610772048905, 0.86588499198425672, 0.86818262740180874, 0.87243099546606562, 0.87941852672494947, 0.89026626146703924, 0.90658966119032336, 0.93074718415625179, 0.96622291895698753, 1.0182098383255747, 1.0944685987439138, 1.2064789065309141, 1.3705990464137472, 1.607938514340298, 1.939123201253119, 2.3665887035902635, 2.8416080001006492, 3.2466437050485837, 3.4551383338594777, 3.4360219372520593, 3.2621906472188864, 3.0280859278406176, 2.7952270190459121, 2.5902607682251992, 2.4198296455317636, 2.282140924755236, 2.1728622627442324, 2.0875593893273989, 2.0225276827421554, 1.9749815429390778, 1.9430257881516755, 1.9255779685989347, 1.9222987055335825, 1.9335323600913348, 1.9602115058173113, 2.0035872006590658, 2.064431437331081, 2.1408783103404634, 2.2232798882796789, 2.2845837299215752, 2.2720370662262779, 2.127857722827986, 1.8577718990248266, 1.5554068804024554, 1.3117830933804309, 1.1522238543827721, 1.0612636272452189, 1.0170222177523103, 1.0036463191498592, 1.0120681558125202, 1.0380998310144243, 1.0805469730843191, 1.1393042775675599, 1.2124488721455919, 1.291463265311372, 1.3568314718120884, 1.3828928558393521, 1.3652440138411557, 1.3183973278151191, 1.2561471075609243, 1.1917615175322098, 1.1335586320701299, 1.0851253633389133, 1.0472876105136848, 1.0198532825989466, 1.0027013159777958, 0.99642994923770389, 1.0028435216145235, 1.0254629628002223, 1.0701042465997104, 1.1452857211977099, 1.2615514952744107, 1.4275748412237745, 1.6404064912146601, 1.8725871647564756, 2.072692541176222, 2.194131321595072, 2.2268618365958828, 2.1943961902377258, 2.1284710739400006, 2.0525315809828553, 1.9793820901330186, 1.9145081001348361, 1.8594759551693427, 1.8140696788809707, 1.7774025777765226, 1.7484349204472469, 1.7261915145374729, 1.7098390385505267, 1.6987022045031803, 1.6922558830147778, 1.6901099396453771, 1.6919939871068685, 1.6977449271556682, 1.7072982780095702, 1.7206835429346281, 1.7380236554270123, 1.7595385463915387, 1.785552978574388, 1.8165089022031045, 1.8529826280337351, 1.895706972410828, 1.9455979763191553, 2.0037843776811846, 2.0716347994426227, 2.1507707732337589, 2.2430397112699056, 2.3503942602237973, 2.4745723214190813, 2.6163817234902567, 2.7742636799730822, 2.9417117854727168, 3.1033703193571043, 3.23101340020684, 3.2839426221525128, 3.2213706432818232, 3.0276989976052291, 2.7313264862949715, 2.3925748345077311, 2.0698708424589061, 1.7970209343369006, 1.5831256004605037, 1.422995609172502, 1.3063879206778037, 1.2229568885369564, 1.1640767339261138, 1.1231305552457227, 1.0952378947933055, 1.0768615439890648, 1.0654527577290696, 1.059173827660846, 1.0566940534461366, 1.0570438661941324, 1.0595117732037298, 1.0635717976164214, 1.0688323203296051, 1.0749998775644238, 1.08185342868881, 1.0892259996685567, 1.0969915745519501, 1.1050557758211208, 1.1133493383731685, 1.1218237085762597, 1.1304483366365343, 1.1392094112447444, 1.1481099356045994, 1.1571711847557176, 1.1664357364856657, 1.1759724567571244, 1.1858840795034296, 1.1963184018568849, 1.2074847036037566, 1.2196779348047349, 1.2333147373107471, 1.2489878790412556, 1.2675498448498064, 1.290243097715092, 1.3189046950289347, 1.3562842012235525, 1.4065063997401595, 1.4755830715219189, 1.5711838142157184, 1.6979333612696652, 1.8359544571722168, 1.8936841186858886, 1.7479160331677697, 1.4726625728820792, 1.248319395542457, 1.1209807586457894, 1.0633032535197755, 1.0489270084696529, 1.0635815289199355, 1.1006560454818459, 1.1570778394660304, 1.2308330297865069, 1.3195400385689169, 1.4197097676401724, 1.5265683737867457, 1.6343630156123066, 1.7369913294171861, 1.8287125172470173, 1.9047054267307437, 1.9613465826198115, 1.996222542325456, 2.007990046428743], [1.6141364789729773, 1.5877730845433073, 1.5189819213352553, 1.4303178617690677, 1.3420303438192644, 1.2653512323002887, 1.2040535930328908, 1.1583559338033935, 1.1279466439307191, 1.1139516897448993, 1.1206974125371354, 1.1582497885155931, 1.246496567101568, 1.4192816795624488, 1.7154191961114138, 2.118040697258655, 2.4625914719000761, 2.5631000236843957, 2.4553732228557581, 2.2798633153423387, 2.1161316138947974, 1.9853180582179686, 1.8863186693654543, 1.8131152860466682, 1.7600266309321031, 1.7227629929749022, 1.6983563768159262, 1.6848929356741627, 1.6812846449856549, 1.6871235495603472, 1.7026166954652333, 1.728596260945757, 1.7666069266273616, 1.8190829809684921, 1.8896377735170828, 1.9834904918372704, 2.1080226418018331, 2.2732965690676661, 2.4917910414929239, 2.7748193202905127, 3.1186547718421003, 3.4683785791223767, 3.6702702602735382, 3.5270697369274333, 3.0375098779295446, 2.4433556861362482, 1.9473598249784423, 1.5970848525616388, 1.364558887137604, 1.2119454376205248, 1.1107124366647949, 1.0422603441294871, 0.99495068954269505, 0.96152170439778983, 0.93738638189463397, 0.91959439484007077, 0.90621030361880228, 0.89593943011549704, 0.88789957352954341, 0.8814792086992671, 0.87624771367439158, 0.87189745246345929, 0.86820572535139195, 0.86500934044585942, 0.86218734700373501, 0.85964913697483136, 0.85732613452632489, 0.85516592052132845, 0.85312803382515601, 0.85118094413246648, 0.84929985557669219, 0.8474651093695873, 0.8456610273099795, 0.84387508893215735, 0.84209737158349141, 0.84032021039486104, 0.83853805796733705, 0.8367475449251095, 0.83494776545669547, 0.8331408403026378, 0.83133284845610189, 0.82953527590830334, 0.82776721773847894, 0.82605871012201704, 0.82445579878711739, 0.82302833724098323, 0.82188217580756573, 0.82117858747520966, 0.82116594349535843, 0.82223274743055585, 0.82499916549735786, 0.83048057843125733, 0.84039163840033226, 0.85773752124138136, 0.88802274234088818, 0.94185808527236359, 1.0408653337999734, 1.2312892257812618, 1.611573196880252, 2.3413912427551744, 3.3251208814964905, 3.6045328140923059, 3.012756007233516, 2.3871709542228512, 1.9674959731274599, 1.7019936312006883, 1.5291530448791026, 1.4115740386115676, 1.3281776285646263, 1.2668697228597872, 1.220436959836146, 1.1843961036332236, 1.1558518502568749, 1.1328693995775572, 1.1141164934806518, 1.0986515355178146, 1.0857938375290501, 1.075041674058266, 1.066019080471978, 1.0584404526260793, 1.0520864747941301, 1.0467874391025862, 1.0424115018258628, 1.0388563116173668, 1.0360429925996255, 1.0339118109189713, 1.0324190769279826, 1.0315349836669228, 1.0312421842285133, 1.0312887133363553, 1.0314284364747588, 1.0316617619572277, 1.0319893732127399, 1.0324122331829471, 1.032931590553408, 1.0335489878961925, 1.0342662718253823, 1.035085605293961, 1.0360094821894761, 1.0370407444188219, 1.038182601708254, 1.039438654387139, 1.0408129194696345, 1.0423098604047418, 1.0439344209259651, 1.0456920635066125, 1.047588813011167, 1.0496313062340306, 1.0518268481353705, 1.0541834757236319, 1.0567100307019328, 1.0594162421935323, 1.06231282110096, 1.0654115679402545, 1.0687254963377664, 1.0722689747979608, 1.0760578898616855, 1.0801098344000208, 1.0844443255565381, 1.0890830577978212, 1.094050197705335, 1.0993727286020814, 1.1050808549343458, 1.1112084786259695, 1.1177937625265171, 1.1248797997645188, 1.1325154125356307, 1.1407561099204955, 1.1496652421771705, 1.1593153991707941, 1.1697901139978979, 1.1811859505364031, 1.1936150771388541, 1.2072084601175566, 1.2221198530459101, 1.2385308154441004, 1.2566570731357372, 1.2767566410021822, 1.2991402792403171, 1.3241850639622053, 1.3523521467595516, 1.3842101901513939, 1.4204665431768899, 1.462009022361056, 1.5099622498094336, 1.565763903187136, 1.6312678464622592, 1.7088824007441021, 1.801751234583203, 1.9139765075645261, 2.0508555756049089, 2.2190193533279272, 2.4261392779027955, 2.6793341056150708, 2.9803006852069016, 3.3137307642405713, 3.6271131204532914, 3.8157084976419182, 3.758856508993337, 3.4269554390984704, 2.9340212020007823, 2.4369916239532974, 2.0269577500016864, 1.7226119886927804, 1.5085017829934335, 1.3621487161710555, 1.264308141342223, 1.2008743279297531, 1.1621261811024042, 1.1415447586030059, 1.1348310125881524, 1.1392098697889714, 1.1529675273791558, 1.1751539257202759, 1.2053969439874923, 1.2437913614644998, 1.2908377347186943, 1.3474134695243678, 1.4147607465563732, 1.4944730974633442, 1.588452463635575, 1.6987879445220873, 1.8274714292736955, 1.9758118869016397, 2.1433535371319423, 2.3261082668935118, 2.5141510975092642, 2.6893798573366507, 2.8255674848468866, 2.8936394751325696, 2.8727300070946074, 2.761314718552784, 2.5792588905782128, 2.3583809274374601, 2.129354402846678, 1.9136695091293565, 1.7224696522397647, 1.5591789838505568, 1.422755663006809, 1.3101360404036728, 1.2176836043628363, 1.1419090979463011, 1.0797603815307184, 1.0286915438366719, 0.98663306085734881, 0.95192616978935907, 0.92325118744367574, 0.89956213715093136, 0.88003167282221184, 0.86400657212045984, 0.85097263337680928, 0.84052742530355617, 0.8323593996419989, 0.82623209953306165, 0.82197245410841302, 0.81946239224403528, 0.81863322048626297, 0.81946239224401751, 0.82197245410837894, 0.82623209953306709, 0.83235939964199368, 0.8405274253035353, 0.8509726333768115, 0.86400657212045784, 0.88003167282221451, 0.89956213715092226, 0.92325118744368617, 0.95192616978939149, 0.98663306085738423, 1.0286915438366115, 1.0797603815307137, 1.1419090979462525, 1.2176836043628156, 1.3101360404036431, 1.4227556630069411, 1.5591789838503067, 1.7224696522396272, 1.9136695091293914, 2.1293544028464901, 2.3583809274375498, 2.5792588905782221, 2.7613147185527809, 2.8727300070945723, 2.8936394751325483, 2.8255674848467911, 2.6893798573366992, 2.5141510975094405, 2.3261082668934501, 2.1433535371319792, 1.9758118869017705, 1.8274714292737473, 1.6987879445221299, 1.5884524636355075, 1.4944730974633296, 1.4147607465564187, 1.3474134695243678, 1.2908377347187161, 1.2437913614645464, 1.2053969439874859, 1.1751539257203008, 1.1529675273791757, 1.1392098697889608, 1.1348310125881678, 1.1415447586029928, 1.1621261811024099, 1.2008743279297351, 1.2643081413421702, 1.3621487161711114, 1.5085017829936969, 1.7226119886929605, 2.0269577500012144, 2.4369916239532521, 2.934021202000983, 3.4269554390989727, 3.7588565089934063, 3.8157084976416962, 3.6271131204530076, 3.3137307642401561, 2.9803006852068163, 2.679334105615121, 2.4261392779027826, 2.2190193533279587, 2.0508555756049671, 1.9139765075645729, 1.8017512345831252, 1.708882400744008, 1.6312678464623458, 1.5657639031871193, 1.509962249809442, 1.4620090223611018, 1.4204665431769343, 1.3842101901514228, 1.3523521467595376, 1.3241850639621828, 1.2991402792403186, 1.276756641002158, 1.2566570731357372, 1.2385308154441164, 1.2221198530458861, 1.2072084601175237, 1.1936150771388341, 1.1811859505364051, 1.169790113997907, 1.1593153991707974, 1.1496652421771589, 1.1407561099204711, 1.1325154125356238, 1.124879799764517, 1.1177937625265042, 1.1112084786259562, 1.1050808549343314, 1.0993727286020905, 1.0940501977053354, 1.0890830577977997, 1.0844443255565319, 1.0801098344000024, 1.0760578898616744, 1.0722689747979619, 1.0687254963377664, 1.0654115679402483, 1.0623128211009563, 1.059416242193522, 1.0567100307019299, 1.054183475723647, 1.0518268481353656, 1.049631306234045, 1.0475888130111755, 1.0456920635066205, 1.0439344209259591, 1.0423098604047498, 1.0408129194696569, 1.0394386543871355, 1.038182601708264, 1.0370407444188205, 1.0360094821894801, 1.0350856052939623, 1.0342662718253823, 1.0335489878961863, 1.0329315905534144, 1.0324122331829384, 1.0319893732127401, 1.0316617619572335, 1.0314284364747661, 1.0312887133363566, 1.0312421842284942, 1.0312654450642169, 1.031335250810169, 1.0314516712405293, 1.0316148228380462, 1.0318248690838598, 1.0320820208650827, 1.0323865370020249, 1.0327387248978022, 1.0331389413133252, 1.03358759327122, 1.0340851390934149, 1.0346320895771035, 1.0352290093151943, 1.0358765181674203, 1.0365752928898968, 1.0373260689310975, 1.0381296424035793, 1.0389868722416959, 1.0398986825567027, 1.0408660652014949, 1.0418900825595812, 1.0429718705728601, 1.0441126420254845, 1.0453136901026898, 1.0465763922447064, 1.0479022143188257, 1.0492927151343945, 1.0507495513287144, 1.0522744826538484, 1.0538693776982855, 1.0555362200807152, 1.0572771151568152, 1.0590942972846737, 1.060990137699193, 1.0629671530515978, 1.0650280146756208, 1.0671755586498162, 1.0694127967321245, 1.0717429282525273, 1.0741693530587293, 1.0766956856208596, 1.0793257704147425, 1.082063698715656, 1.0849138269525482, 1.0878807967892308, 1.0909695571212943, 1.094185388199959, 1.0975339281219434, 1.1010212019549723, 1.1046536538041063, 1.1084381821648663, 1.11238217895548, 1.1164935726750824, 1.1207808761965288, 1.1252532397745603, 1.1299205099335623, 1.1347932949963886, 1.1398830381276117, 1.1452020988977218, 1.150763844527201, 1.1565827521506959, 1.1626745236531415, 1.1690562148784001, 1.17574638130642, 1.1827652426411506, 1.1901348691657048, 1.1978793932098268, 1.2060252496602544, 1.214601450140554, 1.2236398963232988, 1.2331757388382965, 1.2432477894465717, 1.2538989956024533, 1.2651769882815378, 1.2771347160778801, 1.2898311811512104, 1.3033322957361524, 1.3177118817324474, 1.3330528405293722, 1.3494485258533826, 1.3670043592818579, 1.3858397363743875, 1.4060902814087972, 1.4279105207490581, 1.4514770591583033, 1.4769923600509607, 1.5046892496364261, 1.5348362855229767, 1.5677441510132377, 1.6037732535984732, 1.6433427133306067, 1.6869409112526681, 1.7351377070799847, 1.7885982881237841, 1.8480983064467189, 1.9145393740940553, 1.9889629039527281, 2.072558347945022, 2.1666585080978797, 2.272708861234606, 2.3921884214170719, 2.5264449717496378, 2.6763865037493466, 2.8419456826129514, 3.0212175696677956, 3.2091990085687305, 3.3962087939368679, 3.566453682971233, 3.6978599597571367, 3.7648490961383638, 3.7451381610113939, 3.6288721893492619, 3.4248494273948986, 3.1587274772662508, 2.8637497453599039, 2.5701372333804762, 2.2988312820151764, 2.0606522987356377, 1.8586460793403423, 1.6911429414662749, 1.5542184781952566, 1.4432588237419879, 1.3537966439385614, 1.2818775700526355, 1.2241658229210657, 1.1779228265739201, 1.1409341755174145, 1.111423352326149, 1.0549164907419484, 1.0287860887906422, 1.0194737150595912, 1.0195501039320833, 1.0247217273853872, 1.0323671071071712, 1.040803623451215, 1.0489118589106572, 1.0559398650360787, 1.0613991549339798, 1.065006503260818, 1.0666468198597754, 1.0663438893828083, 1.0642326142921958, 1.0605306593363355, 1.0555099315011072, 1.0494695494160611, 1.0427121762404705, 1.0355251491971333, 1.0281670846748947, 1.0208598654182086, 1.0137853196835283, 1.007085561959024, 1.0008658703290001, 0.99519906371283118, 0.99013053455532496, 0.98568332045865892, 0.98186281423639565, 0.97866089039855297, 0.97605935877239891, 0.97403274529455375, 0.97255045375834093, 0.97157838971802479, 0.97108013736404286, 0.97101777884225215, 0.97135243817785755, 0.97204462201549124, 0.97305441882994226, 0.97434160819368165, 0.9758657225763181, 0.97758609607879399, 0.97946192734642834, 0.98145237743814107, 0.983516717437664, 0.98561453489810968, 0.987706002728994, 0.98975220887312632, 0.99171554019341601, 0.99356010959704333, 0.99525221183103585, 0.99676079087894176, 0.99805790074724399, 0.99911914187107109, 0.99992405751421165, 1.0004564784046543, 1.0007048093332658, 1.0006622583629046, 1.0003270174173888, 0.99970241213369815, 0.99879704885917486, 0.99762499763919554, 0.99620606234830644, 0.99456620354199621, 0.99273819747030578, 0.99076263803894071, 0.98868942036382357, 0.98657988938186403, 0.98450990123405735, 0.98257413835249785, 0.98089215549208664, 0.9796168345118712, 0.97894622245663809, 0.97914016876704879, 0.98054383639263787, 0.98362114778809817, 0.98900270071775243, 0.99755487396373121, 1.010480016960303, 1.0294620236198677, 1.0568771083690864, 1.0960947391475957, 1.1518928027641966, 1.2309874107983396, 1.3425877294490529, 1.4986323729683835, 1.7127825119193372, 1.9962698318195033, 2.3481566712471071, 2.7407974972107731, 3.1122783069546487, 3.386111707348288, 3.5151531103503517, 3.5071749639670275, 3.4071907651359599, 3.2643201555008368, 3.1136368357075597, 2.9745907592804213, 2.8558674884090025, 2.7602666265119677, 2.6878996434548297, 2.637927571607853, 2.6093660000284133, 2.6013106676182458, 2.6126925316387211, 2.6414136841742422, 2.6824131573058914, 2.7239705641931091, 2.742184137175038, 2.6975490067074395, 2.5465571083617156, 2.2793396096440288, 1.9501027886839828, 1.6429147894374787, 1.4092949051576376, 1.25471109253504, 1.1623520878346458, 1.1131759069524254, 1.0930528178469383, 1.0932553663210955, 1.1092083913775581, 1.1392693084292675, 1.1838107023351017, 1.2443082248873467, 1.3217752952250847, 1.4136216319005463, 1.508769435574882, 1.5846066117581072, 1.6141364789729773, 1.5941828018724822, 1.5403330906101851, 1.4667626192014123, 1.3881679524922681, 1.3146980883571366, 1.2512507748134003, 1.1990989879322347, 1.1577376192865512, 1.12614246577318, 1.1034592311843392, 1.0893589252904798, 1.0842617226005942, 1.0895571578908809, 1.1078914306148779, 1.1435392053504769, 1.202778894195965, 1.2939593692865907, 1.4264763934858284, 1.6072625492832995, 1.8336269987562912, 2.0847761384907817, 2.3212316417887298, 2.5008521883044104, 2.6017654226476563, 2.6298919152020881, 2.6073031906527864, 2.557330915225414, 2.4971848736012543, 2.4372292771997053, 2.3828229306875519, 2.336296713219125, 2.29835518724455, 2.2689196433170111, 2.247592687283126, 2.2338998130269174, 2.2274088113738029, 2.2277854775426085, 2.2348176543867759, 2.2484245556997622, 2.2686599867724238, 2.2957134469234846, 2.3299102934727962, 2.3717100068564396, 2.4216992724338047, 2.4805732569097478, 2.5490930625125015, 2.6279984471111657, 2.7178406600853968, 2.8186790954193159, 2.9295588467052109, 3.0476664991028848, 3.1670897910489337, 3.2772813298336305, 3.3618063425581477, 3.3988034774250724, 3.365253099076666, 3.2459249456270927, 3.0433821384308168, 2.7810677398583525, 2.4949025956791133, 2.2190795991291092, 1.9761700373578157, 1.7755490520650927, 1.6170805756055535, 1.4957169445388321, 1.4048262340843518, 1.3379847178757953, 1.2897023517702413, 1.2555755006997822, 1.2321906206903244, 1.2169493721266256, 1.2078913767340291, 1.2035423244027088, 1.2027932116657836, 1.2048079483289083, 1.2089540956813052, 1.2147514919647979, 1.2218343395525451, 1.2299232909364315, 1.2388049290351304, 1.2483167278971534, 1.2583361098977486, 1.2687726145036144, 1.2795624939901327, 1.2906652820462738, 1.3020620663903326, 1.3137553574061622, 1.3257706012317458, 1.338159559139922, 1.3510059924281079, 1.364434391742837, 1.3786229309574305, 1.3938225040457035, 1.4103847774570255, 1.4288039255044216, 1.4497795497010886, 1.4743128964683683, 1.5038557594055186, 1.5405416814710313, 1.5875378334296453, 1.6495354931064954, 1.7332179869073578, 1.8466692772177753, 1.9932333918639769, 2.1462688154443814, 2.1989779332943629, 2.018048878726165, 1.6912682962786196, 1.419858542875291, 1.2561849832935383, 1.1687814600801727, 1.1260906675242857, 1.1102774251000835, 1.1127223384869593, 1.1296037236158745, 1.159326738814435, 1.201085680974298, 1.2540109484412971, 1.3166560548821027, 1.3867480742178961, 1.4611827812259273, 1.5362340306237261, 1.6079058035840779, 1.6723245885445499, 1.7260747047393554, 1.7664189315006551, 1.7913994018967767, 1.7998541194507314], [1.8904122369047378, 1.8615298017773383, 1.7845080500515369, 1.6816210240529226, 1.5749726531949566, 1.4786147333873056, 1.3982690422407462, 1.3345874842681502, 1.2863039162010823, 1.2522376838354938, 1.2325025845907358, 1.2295619299483795, 1.2497456946525127, 1.3058166332748682, 1.4207255702313315, 1.6295947747547028, 1.9653042748553988, 2.3983859488539414, 2.7708165858374856, 2.9147324522486739, 2.8467972027096207, 2.688868407874168, 2.5254778640451181, 2.3877829520850251, 2.2809602643239884, 2.2019302388060993, 2.1462518951156992, 2.1102017695141995, 2.0912071493415123, 2.087821342606504, 2.0996320429601005, 2.1272212576644072, 2.1722097028819976, 2.2373908097137245, 2.3269355138458159, 2.4465829049223147, 2.603533099985087, 2.8052138286876049, 3.0547886127733932, 3.3390317376737526, 3.6044299132150348, 3.736186745198764, 3.6034151616416761, 3.1974175319425133, 2.6735590614231124, 2.1966503496443011, 1.8330652624768025, 1.5774333322879159, 1.4026819883353172, 1.283385439719088, 1.2010265376190494, 1.1432083893931388, 1.1018447269147953, 1.0716694500728057, 1.0492212603471542, 1.0321933481774279, 1.0190242776228922, 1.0086404150323862, 1.0002922451468315, 0.99344896248669712, 0.98772957430421038, 0.9828571766303319, 0.97862815155318272, 0.97489111630628444, 0.97153234035552505, 0.96846551438207473, 0.96562448809035928, 0.96295806048350641, 0.96042620767750664, 0.95799733082190097, 0.95564623801333781, 0.95335266279744169, 0.95110018290045029, 0.9488754458820583, 0.94666763987139901, 0.94446817188536147, 0.9422705367482378, 0.94007037911567903, 0.93786577232320512, 0.93565776401507272, 0.93345127428224572, 0.93125648418584073, 0.92909093203819837, 0.92698265996591767, 0.92497495554144127, 0.92313356813599345, 0.92155784761786919, 0.92039824118220337, 0.91988435110787048, 0.920371011817394, 0.92241604203315342, 0.92691555345144772, 0.93534776048898916, 0.95022973786694043, 0.97601044315415675, 1.0208962088185607, 1.1007349442529766, 1.2474114397836009, 1.5255712630506295, 2.0498422733696384, 2.890142253381224, 3.6056018647131887, 3.486194815008191, 2.9082565306553287, 2.4001294422616497, 2.0517050731413113, 1.8201558885385336, 1.6625669125527209, 1.5514887691610184, 1.470490873797224, 1.4096452459489537, 1.3627746178590183, 1.3259054292889947, 1.296398371039422, 1.2724483592811955, 1.2527883170323495, 1.2365082687321778, 1.2229416049897093, 1.2115916356931888, 1.2020829939401376, 1.1941287768164643, 1.1875078996904906, 1.182049234782083, 1.1776203578275397, 1.1741194951288201, 1.171469745976301, 1.1696149660941171, 1.1685169030801223, 1.1681533149763323, 1.1682108547528951, 1.1683836470233491, 1.1686722117508233, 1.1690774193571092, 1.1696004964980247, 1.1702430342501953, 1.1710069988134897, 1.1718947448660899, 1.1729090317455895, 1.1740530426687574, 1.1753304072473256, 1.1767452276058772, 1.1783021084656367, 1.1800061916205786, 1.1818631953090137, 1.1838794590675445, 1.186061994756852, 1.1884185445652493, 1.1909576469350616, 1.1936887115207933, 1.196622104481867, 1.1997692456454463, 1.2031427193505371, 1.2067564011182035, 1.2106256026934872, 1.2147672384890391, 1.219200017050647, 1.2239446618828975, 1.229024166853691, 1.2344640924787147, 1.2402929107243128, 1.2465424076264722, 1.2532481550921353, 1.2604500658396005, 1.2681930486960167, 1.2765277855956565, 1.2855116568680505, 1.2952098481134882, 1.3056966805836725, 1.3170572181322888, 1.3293892182868547, 1.3428055139359445, 1.3574369370299477, 1.3734359286211575, 1.3909810233326299, 1.410282454802626, 1.431589207055316, 1.4551979422373831, 1.4814643772702745, 1.5108178731406268, 1.5437802561794964, 1.5809902278713615, 1.6232351524374773, 1.6714925367196725, 1.726984079902208, 1.7912455796218056, 1.8662157065836844, 1.9543443677964643, 2.0587138619766261, 2.1831458296045847, 2.3322173769131993, 2.5109953596931724, 2.7240532119389549, 2.972878437766735, 3.2501844390184864, 3.5298474758626766, 3.7554914661608505, 3.8432367139417627, 3.7223026366354692, 3.3984742725924955, 2.9635209244014384, 2.5274392584883545, 2.1573167285199264, 1.8719531430981389, 1.6636708139103848, 1.5166921833606246, 1.4158052654648301, 1.3489621258855218, 1.3073738486614124, 1.2848855403177135, 1.277299555162027, 1.2818335014877007, 1.2967307817883436, 1.3209954187583188, 1.3542179478718352, 1.3964648296091422, 1.4482099835920306, 1.510290497491261, 1.5838680258589946, 1.6703715292070509, 1.7713837332404783, 1.8884104497709842, 2.0224379675258457, 2.1731477753891872, 2.3376562908926357, 2.5087744863060655, 2.6732018600698995, 2.8108807866244176, 2.8975168625403867, 2.9115885466512785, 2.8437069584314814, 2.7021941927472892, 2.5099855044699408, 2.2950215229222897, 2.0810714054005421, 1.8835154401291929, 1.7097045502270927, 1.5613560634730839, 1.437020599272971, 1.3338528205321283, 1.248652615854988, 1.1783857557074195, 1.1203953701236737, 1.0724516846503946, 1.0327272238881979, 0.99974394845828196, 0.97231494783163219, 0.94949052727563565, 0.93051213045146297, 0.9147745704013891, 0.9017958148895916, 0.89119318453048879, 0.8826648113922434, 0.87597534436377011, 0.87094506916929837, 0.86744178963044893, 0.86537497600341362, 0.86469182287668456, 0.86537497600339863, 0.86744178963041907, 0.87094506916930403, 0.87597534436376534, 0.88266481139222563, 0.89119318453048868, 0.90179581488958982, 0.91477457040139165, 0.93051213045145698, 0.94949052727564398, 0.97231494783165862, 0.99974394845830761, 1.032727223888148, 1.0724516846503891, 1.1203953701236371, 1.1783857557074049, 1.2486526158549638, 1.333852820532224, 1.4370205992727865, 1.5613560634729799, 1.7097045502271244, 1.8835154401290373, 2.0810714054006256, 2.295021522922311, 2.5099855044699577, 2.7021941927472635, 2.8437069584314938, 2.9115885466512514, 2.8975168625403693, 2.8108807866245105, 2.6732018600698351, 2.5087744863060917, 2.3376562908927649, 2.1731477753892436, 2.022437967525891, 1.8884104497708984, 1.7713837332404572, 1.6703715292071049, 1.5838680258589966, 1.510290497491289, 1.4482099835920899, 1.3964648296091329, 1.3542179478718674, 1.3209954187583424, 1.2967307817883305, 1.2818335014877134, 1.2772995551620188, 1.2848855403177275, 1.3073738486614002, 1.3489621258854951, 1.4158052654648765, 1.5166921833608109, 1.6636708139105099, 1.8719531430978089, 2.1573167285199166, 2.5274392584885423, 2.9635209244020415, 3.3984742725928774, 3.7223026366355394, 3.843236713941625, 3.7554914661605436, 3.5298474758625313, 3.2501844390184873, 2.9728784377666906, 2.7240532119389838, 2.5109953596932364, 2.3322173769132601, 2.183145829604483, 2.0587138619765009, 1.9543443677965822, 1.8662157065836651, 1.7912455796218136, 1.7269840799022655, 1.6714925367197309, 1.6232351524375148, 1.5809902278713426, 1.543780256179464, 1.5108178731406281, 1.4814643772702412, 1.4551979422373837, 1.4315892070553344, 1.4102824548025961, 1.3909810233325886, 1.3734359286211308, 1.3574369370299482, 1.3428055139359558, 1.3293892182868596, 1.3170572181322757, 1.3056966805836425, 1.2952098481134817, 1.285511656868048, 1.2765277855956394, 1.2681930486960005, 1.2604500658395827, 1.2532481550921468, 1.2465424076264737, 1.2402929107242855, 1.2344640924787069, 1.2290241668536683, 1.223944661882884, 1.2192000170506485, 1.2147672384890384, 1.2106256026934767, 1.2067564011181979, 1.2031427193505242, 1.1997692456454427, 1.1966221044818852, 1.1936887115207881, 1.1909576469350789, 1.1884185445652593, 1.186061994756862, 1.1838794590675372, 1.1818631953090255, 1.1800061916206059, 1.1783021084656318, 1.1767452276058896, 1.1753304072473241, 1.1740530426687621, 1.1729090317455901, 1.1718947448660904, 1.1710069988134826, 1.1702430342502033, 1.1696004964980149, 1.169077419357111, 1.1686722117508306, 1.1683836470233591, 1.1682108547528962, 1.1681533149763095, 1.1681820801522189, 1.1682684055360404, 1.1684123807730249, 1.1686141555282308, 1.1688739398725119, 1.1691920048254338, 1.169568683057695, 1.1700043697567943, 1.1704995236600471, 1.1710546682598879, 1.1716703931878654, 1.1723473557838906, 1.1730862828590571, 1.1738879726606097, 1.1747532970496894, 1.1756832039028982, 1.1766787197505026, 1.1777409526654083, 1.1788710954186248, 1.1800704289181985, 1.1813403259516628, 1.182682255252304, 1.1840977859130943, 1.1855885921744753, 1.1871564586139205, 1.1888032857692934, 1.1905310962305056, 1.1923420412383001, 1.1942384078321044, 1.1962226265942015, 1.1982972800422744, 1.2004651117275145, 1.2027290361021388, 1.2050921492268771, 1.2075577403970943, 1.2101293047741541, 1.2128105571195522, 1.2156054467390844, 1.218518173757982, 1.2215532068609947, 1.2247153026472635, 1.228009526768892, 1.2314412770402703, 1.2350163087305841, 1.2387407622759878, 1.242621193679569, 1.2466646078995791, 1.2508784955664205, 1.255270873412657, 1.2598503288515399, 1.2646260691981053, 1.2696079760936543, 1.2748066657727775, 1.2802335559010549, 1.2859009398153214, 1.2918220691183373, 1.2980112457196231, 1.3044839245748632, 1.3112568285673216, 1.318348077193281, 1.3257773309727106, 1.3335659538087268, 1.341737195873568, 1.350316400018285, 1.3593312351933331, 1.368811960950677, 1.3787917277828534, 1.3893069188698355, 1.4003975397670936, 1.4121076637145893, 1.4244859416045257, 1.4375861872623348, 1.4514680506145969, 1.4661977935967212, 1.4818491863559908, 1.49850454450009, 1.5162559319030948, 1.5352065579806875, 1.5554724034468319, 1.5771841143883569, 1.6004892110116518, 1.6255546644607419, 1.6525699023063762, 1.6817503099106175, 1.7133412994889585, 1.7476230188887076, 1.7849157636778972, 1.8255861320373847, 1.8700539104268166, 1.9187995797259942, 1.9723721550129123, 2.0313967663811936, 2.0965808718747607, 2.1687171388697037, 2.248679641031035, 2.3374078052940779, 2.4358691092571032, 2.5449863958807857, 2.6655084453430655, 2.797793312923309, 2.9414649013363889, 3.0949006019122818, 3.2545264139403454, 3.4139632419289776, 3.5632206425964421, 3.6883864669396274, 3.7725222278368356, 3.7984483376402425, 3.7533659460645525, 3.6337907129975133, 3.4481156968521542, 3.2148553914856377, 2.9572637679837066, 2.6972504914534783, 2.4513382078185426, 2.2294906957035705, 2.0360029698215598, 1.8712092415881285, 1.7331350536826791, 1.6187303911848654, 1.5246510726617089, 1.4476893650354798, 1.3849739793383573, 1.3340350303458457, 1.2927979324001557, 1.2595447532612856, 1.2328643848132026, 1.2116024122897608, 1.1717218847161457, 1.155364803590154, 1.1525586419625857, 1.1574781169415349, 1.1665443897847323, 1.1774403714261925, 1.1885953850848283, 1.1989140419717135, 1.2076339033009531, 1.2142503226593764, 1.2184740971332451, 1.2202023262745179, 1.2194917498604478, 1.2165296940331642, 1.2116017309604166, 1.2050576307152479, 1.1972783307229842, 1.188646695858923, 1.1795241344416907, 1.170234073102931, 1.1610522369259553, 1.152202872725514, 1.1438595932461351, 1.1361493908871336, 1.1291584850022216, 1.122938920669575, 1.1175151366933058, 1.1128900030466211, 1.109050059418617, 1.1059698565552121, 1.1036154146879265, 1.1019468794039624, 1.1009204874169731, 1.1004899642538848, 1.1006074719037178, 1.1012242134359074, 1.1022907877247003, 1.1037573732227099, 1.1055738065051171, 1.1076896095480375, 1.1100540094170654, 1.1126159849816595, 1.1153243670878323, 1.1181280109870904, 1.1209760524714631, 1.1238182519761346, 1.1266054238923824, 1.1292899416452808, 1.1318263030186884, 1.1341717351328222, 1.1362868148114096, 1.1381360782069272, 1.1396885937902201, 1.1409184753176529, 1.1418053161625559, 1.1423345332530277, 1.1424976174622614, 1.142292297222306, 1.1417226329327772, 1.1407990710493536, 1.1395384983758339, 1.1379643491450602, 1.1361068304139168, 1.1340033460439212, 1.1316992175738609, 1.1292488237964566, 1.1267173129055528, 1.1241830859530348, 1.1217413139685128, 1.1195088417030183, 1.1176309601169092, 1.1162907136491897, 1.1157216695652019, 1.1162254462124472, 1.1181958156187919, 1.1221519134083435, 1.1287840563272507, 1.1390169093997244, 1.1540961858018723, 1.1757063485130896, 1.2061268691865654, 1.2484308719735477, 1.3067165373037397, 1.3863263731280757, 1.4939310301974895, 1.6372053103357216, 1.8236023545578914, 2.0575670822668743, 2.3358773258079721, 2.642428080529279, 2.9466089102283131, 3.2102589984703407, 3.4023354382263351, 3.5114493161414924, 3.5468776252477072, 3.5296581135505378, 3.4823809652313704, 3.4232578708485324, 3.3645556394085143, 3.3132479907676609, 3.2720959997253916, 3.2402489131367918, 3.2130187488363608, 3.1808044619530293, 3.1276717839460129, 3.0314175918562518, 2.868946516329804, 2.6300748850590616, 2.3331202547350172, 2.0235052108794651, 1.7492311593414585, 1.5369158481131722, 1.388870889149654, 1.2941094983824364, 1.2388435126821611, 1.2115591457272745, 1.2042428488881332, 1.2120364763366562, 1.2325655755223182, 1.2653757940151404, 1.3115175835767896, 1.3731091215674578, 1.4524905850876515, 1.5503135337345788, 1.6619331069678667, 1.7729024107860043, 1.8580398721082925, 1.8904122369047378, 1.8685856203652242, 1.8086949995158503, 1.7245104978639751, 1.6315151743190111, 1.5416683525707107, 1.4616993327794716, 1.3940435321241047, 1.3385880873098146, 1.2941187299236798, 1.2592053708125324, 1.2326537074930404, 1.2137132208435348, 1.2021823365774853, 1.198494439207471, 1.2038295815572582, 1.2202712441960724, 1.2510015082794512, 1.3004824144270719, 1.3744808591761306, 1.4796377621129502, 1.6220927237666549, 1.8046671663413367, 2.0227914222543881, 2.2611474535060845, 2.4947514018461092, 2.6965864198093876, 2.8479849558785246, 2.944309926698764, 2.9928511318830457, 3.0065757009410836, 2.9986514359273535, 2.9796958143083785, 2.9572092229828617, 2.9360530420371491, 2.9191894130828957, 2.9083367214298592, 2.9044505115440433, 2.9080432225352992, 2.919382265778133, 2.9386025974428187, 2.9657588706489095, 3.0008311226639233, 3.043688478625254, 3.0940073452437939, 3.1511337220439724, 3.2138742270855856, 3.2802000653990522, 3.346859329671819, 3.4089285565125724, 3.4594122827178468, 3.4891304020920697, 3.4872851108378269, 3.4431375352741611, 3.3489013565562886, 3.2031237131074275, 3.0128687207455656, 2.7929961355661073, 2.5623747578828873, 2.3389048931912848, 2.1358053761764944, 1.9603616048810761, 1.8147018185191952, 1.6974640988061607, 1.6054338364081271, 1.5347398645042143, 1.4815688666293028, 1.4425143890956236, 1.4146976800155722, 1.3957660450088909, 1.3838358828330364, 1.3774179202614498, 1.3753432565100256, 1.3766980731274467, 1.3807692925565218, 1.3870008655540509, 1.3949593407189278, 1.4043071187522418, 1.4147818901502554, 1.4261809804386991, 1.4383495794590813, 1.4511720678808244, 1.4645658619169795, 1.4784773771870681, 1.4928798724945906, 1.5077730852876898, 1.5231847271422065, 1.5391740884612735, 1.5558382326858329, 1.5733215800558367, 1.5918301489093531, 1.611652433746716, 1.6331900076339547, 1.6570026894648688, 1.6838758980631814, 1.7149221567491817, 1.7517350858819045, 1.7966218480032858, 1.8529416869766759, 1.9255395938595665, 2.0210442857340465, 2.1468694184134147, 2.3044682300247463, 2.4647766698695746, 2.5225335880047832, 2.3415079677830972, 1.987871506203688, 1.6710847826792674, 1.4676002197258502, 1.3510870688013434, 1.2859152364172572, 1.2499434085678058, 1.2316864849548939, 1.2256494449384741, 1.2294349297838949, 1.2421571587616771, 1.2635421959627702, 1.2933717479370064, 1.3311203754762639, 1.3757367971493693, 1.4255616493018106, 1.478377930536741, 1.5315728902478354, 1.5823683836320814, 1.628065642289747, 1.6662568359649264, 1.6949761268610097, 1.7127870045268085, 1.7188206577091991], [2.219929097684711, 2.1888363174652978, 2.1041926883446647, 1.9871372080001648, 1.8609131443125642, 1.7425306832041776, 1.6405082099553063, 1.5569858956228355, 1.4908461765222161, 1.4400459719497847, 1.402966365968507, 1.3791941623157993, 1.3701927260015145, 1.3802500570979006, 1.4180554308999374, 1.4991051119436141, 1.6481376299427697, 1.8968148347075215, 2.2628143202903832, 2.6985538379853473, 3.0650559566968347, 3.2370960412532215, 3.2226908979226221, 3.1109879511524112, 2.9761133747603434, 2.854136218308982, 2.7571225325005231, 2.6868945212540583, 2.6420652466311996, 2.620914541039868, 2.6224292199507855, 2.6466466661210819, 2.6947575515211706, 2.7690976117835318, 2.8729586091338546, 3.0099078589153203, 3.1818698297508599, 3.3844952070483041, 3.5978199204757422, 3.7728479245072633, 3.8272742766546091, 3.681141111939251, 3.3320597212438128, 2.8781837304761231, 2.4389071444133559, 2.0799685890577808, 1.8119981744464844, 1.6200092115646647, 1.4842049575928848, 1.3878879686743957, 1.3188418682573049, 1.268609649194685, 1.2314480748876577, 1.2034653636679098, 1.1820080964461406, 1.1652487438771353, 1.1519135689396212, 1.1411037206677002, 1.1321770279890198, 1.1246691929339119, 1.118240669228739, 1.1126404279154591, 1.1076809429824468, 1.1032207179184415, 1.0991519407732748, 1.0953916685080225, 1.0918754685467582, 1.0885527908492818, 1.0853835727730341, 1.0823357325872518, 1.079383311878181, 1.076505099047387, 1.0736836166103969, 1.0709043913254721, 1.0681554532802189, 1.0654270314722025, 1.0627114318600146, 1.060003101690878, 1.0572989035431015, 1.0545986468589588, 1.0519059577850884, 1.0492296158892143, 1.0465855583078023, 1.043999863760491, 1.0415132071088553, 1.039187565587586, 1.0371164418529228, 1.0354406946196111, 1.0343735115233357, 1.0342406526799195, 1.0355468904458967, 1.0390887238799187, 1.0461514978381394, 1.0588658828583903, 1.0808762384192911, 1.1186406162049602, 1.1840414768230099, 1.2996908584546949, 1.509101546305198, 1.8901374024294042, 2.5329690781829437, 3.3263535846150214, 3.6982703302580773, 3.4030351581042906, 2.8973009504382388, 2.4770436455106246, 2.1785865980830463, 1.9711140111446719, 1.8243067415172907, 1.7175582921617221, 1.6377915107107386, 1.5767099329780019, 1.5289426350636413, 1.4909214434579761, 1.4602128164840606, 1.4351156950829052, 1.4144142546719112, 1.3972221931344806, 1.3828822817919433, 1.3709000748793705, 1.3608992382048113, 1.3525908792927326, 1.3457521492574063, 1.3402111191529902, 1.3358359963398336, 1.3325274131702698, 1.330212948456835, 1.3288433243261764, 1.3283899129889034, 1.3284613774959229, 1.3286759921196893, 1.3290344216699155, 1.3295377791867449, 1.3301876335446767, 1.3309860202345243, 1.3319354554638412, 1.3330389537605958, 1.3343000493139372, 1.3357228213392474, 1.3373119238150863, 1.3390726200060601, 1.3410108222639217, 1.3431331376848388, 1.3454469203051169, 1.3479603306325922, 1.3506824034508798, 1.3536231249936679, 1.3567935207771229, 1.3602057556037934, 1.3638732475182911, 1.3678107978156335, 1.3720347395836907, 1.3765631077218414, 1.3814158339320484, 1.3866149708488189, 1.3921849502916148, 1.3981528816178979, 1.4045488973751592, 1.4114065549501071, 1.4187633047661605, 1.4266610378781974, 1.4351467286752946, 1.444273191981732, 1.4540999783437873, 1.4646944369648891, 1.4761329829423064, 1.4885026146146281, 1.5019027385292065, 1.5164473745606617, 1.5322678330594446, 1.5495159809222261, 1.5683682458881041, 1.5890305504354962, 1.611744421255398, 1.6367945909791464, 1.6645184998291471, 1.6953182205821309, 1.7296754742033631, 1.768170575512962, 1.8115063378443339, 1.8605381380893067, 1.916311409408578, 1.9801075802534558, 2.0534984548096653, 2.1384062420528123, 2.2371598090651399, 2.3525229972503885, 2.4876395916929446, 2.645776365536729, 2.8296266258130949, 3.0397411353497121, 3.2714297797863416, 3.5095620582179512, 3.7221320730194098, 3.8578363296133147, 3.8585394518243654, 3.6918517693892703, 3.381433129778713, 2.9983091644500592, 2.6182519493642293, 2.288998916683179, 2.0269616316446273, 1.8292958727497362, 1.6855900391934, 1.5844383167720193, 1.5160506156955766, 1.4728464677055626, 1.4492666839816279, 1.4413799804931697, 1.4465041361547408, 1.4629041487279335, 1.4895708482217189, 1.5260653488793061, 1.5724113496137269, 1.6290176439704691, 1.6966127007992375, 1.7761695394234651, 1.8687906404960981, 1.9755078757765601, 2.0969315475091603, 2.2326616424238868, 2.380375112978248, 2.5345786188556478, 2.6852582102580516, 2.8171375819563638, 2.9108099824951155, 2.9469302751277202, 2.9129740679953131, 2.8092111488345912, 2.6495523785405246, 2.4562463243661896, 2.2520867572908645, 2.0547356282634035, 1.8748979297586745, 1.7172769327895112, 1.5825310515386692, 1.4690826783504307, 1.37438460714405, 1.2956669947971688, 1.2303169293745733, 1.1760363659112572, 1.1308809211662572, 1.0932416921484873, 1.061804343673485, 1.0355028284229515, 1.0134757063624613, 0.99502812672850893, 0.97960014210430535, 0.96674096131154741, 0.95608835750202192, 0.94735237788392967, 0.94030257067599066, 0.93475806361073366, 0.93057995497555845, 0.92766559542880411, 0.92594444120394115, 0.9253752468891957, 0.92594444120392794, 0.92766559542877591, 0.93057995497556523, 0.93475806361072844, 0.94030257067597489, 0.94735237788392734, 0.95608835750202037, 0.96674096131154996, 0.97960014210430191, 0.99502812672851759, 1.0134757063624822, 1.0355028284229695, 1.0618043436734419, 1.0932416921484818, 1.1308809211662281, 1.1760363659112454, 1.2303169293745493, 1.2956669947972392, 1.3743846071439103, 1.4690826783503492, 1.5825310515386908, 1.7172769327893878, 1.8748979297587418, 2.0547356282634253, 2.2520867572908876, 2.4562463243661719, 2.6495523785405655, 2.8092111488346339, 2.9129740679952385, 2.946930275127698, 2.9108099824950657, 2.8171375819563682, 2.6852582102581488, 2.5345786188556905, 2.3803751129782897, 2.2326616424237824, 2.0969315475091328, 1.975507875776624, 1.8687906404960979, 1.7761695394234984, 1.6966127007993128, 1.629017643970458, 1.5724113496137671, 1.5260653488793328, 1.4895708482217009, 1.4629041487279442, 1.4465041361547426, 1.4413799804931899, 1.4492666839816213, 1.4728464677055573, 1.5160506156956155, 1.5844383167721561, 1.6855900391934842, 1.8292958727495008, 2.026961631644622, 2.2889989166833136, 2.6182519493647343, 2.9983091644505011, 3.3814331297789555, 3.6918517693893445, 3.8585394518243428, 3.8578363296131943, 3.7221320730193397, 3.5095620582178535, 3.2714297797863345, 3.0397411353497708, 2.8296266258131544, 2.6457763655365953, 2.4876395916927763, 2.3525229972505417, 2.2371598090651101, 2.1384062420528278, 2.0534984548097435, 1.9801075802535357, 1.9163114094086244, 1.8605381380892798, 1.8115063378442897, 1.7681705755129651, 1.7296754742033216, 1.695318220582132, 1.6645184998291731, 1.6367945909791055, 1.6117444212553405, 1.5890305504354647, 1.5683682458881076, 1.5495159809222407, 1.5322678330594488, 1.5164473745606433, 1.5019027385291683, 1.488502614614617, 1.4761329829423022, 1.4646944369648682, 1.454099978343768, 1.4442731919817087, 1.4351467286753095, 1.4266610378781972, 1.4187633047661263, 1.4114065549500974, 1.4045488973751317, 1.3981528816178803, 1.3921849502916146, 1.3866149708488194, 1.3814158339320359, 1.3765631077218352, 1.3720347395836765, 1.3678107978156309, 1.3638732475183137, 1.360205755603787, 1.3567935207771444, 1.3536231249936799, 1.3506824034508922, 1.3479603306325834, 1.3454469203051307, 1.3431331376848714, 1.3410108222639179, 1.3390726200060743, 1.3373119238150837, 1.3357228213392542, 1.3343000493139392, 1.3330389537605949, 1.3319354554638325, 1.3309860202345329, 1.3301876335446652, 1.3295377791867455, 1.3290344216699232, 1.3286759921197011, 1.3284613774959244, 1.3283899129888752, 1.3284256392453377, 1.3285328565150507, 1.3287116804016377, 1.3289623039196408, 1.3292849980093511, 1.3296801122610244, 1.3301480758520761, 1.3306893987022648, 1.3313046728525562, 1.331994574074443, 1.3327598637184181, 1.3336013908106823, 1.334520094409412, 1.3355170062324193, 1.3365932535707441, 1.337750062503329, 1.3389887614304403, 1.3403107849452021, 1.3417176780648785, 1.3432111008453169, 1.3447928334060295, 1.3464647813940314, 1.3482289819192399, 1.3500876099975296, 1.3520429855400979, 1.3540975809332905, 1.3562540292566494, 1.3585151331928367, 1.360883874687606, 1.3633634254252116, 1.3659571581914525, 1.3686686592037189, 1.3715017414966975, 1.3744604594617482, 1.3775491246493445, 1.3807723229550661, 1.384134933324888, 1.3876421481292169, 1.3912994953741324, 1.3951128629366734, 1.399088525033223, 1.4032331711565347, 1.4075539377426758, 1.4120584428642935, 1.416754824280537, 1.4216517812179308, 1.4267586203018687, 1.432085306114014, 1.4376425169119782, 1.4434417061187998, 1.4494951702710359, 1.4558161242068612, 1.4624187843836274, 1.4693184613371082, 1.4765316624370513, 1.4840762062578792, 1.4919713500738492, 1.5002379322061155, 1.5088985312062793, 1.5179776441540827, 1.5275018866915131, 1.5375002178139225, 1.5480041929014401, 1.5590482490149788, 1.5706700271054559, 1.582910736516522, 1.5958155680047439, 1.6094341624848147, 1.6238211438395753, 1.6390367254435392, 1.6551474015440344, 1.6722267363474428, 1.6903562655716931, 1.7096265273453337, 1.7301382416270314, 1.7520036597128925, 1.7753481077547892, 1.8003117502823891, 1.8270516010935669, 1.8557438088656619, 1.8865862423633628, 1.9198013934429545, 1.9556396024818472, 1.9943825861954794, 2.0363472055464134, 2.0818893416605606, 2.1314076351684648, 2.1853466662893246, 2.2441988750945665, 2.3085040935928283, 2.3788449119163828, 2.4558351316682767, 2.5400971448398377, 2.6322220771777114, 2.7327038459714208, 2.841834960662641, 2.9595484370830434, 3.0851880799882676, 3.2171919739724091, 3.3526877046458927, 3.4870325967145268, 3.6133991032176707, 3.7226058107061641, 3.8034970981030556, 3.8441885788595598, 3.8342825409893724, 3.7676481649846822, 3.6447574240080787, 3.4733800155708563, 3.2670694381346763, 3.0420236957758942, 2.8136974048320651, 2.5944051025754149, 2.3923764350833778, 2.2119942345902919, 2.0546526691517273, 1.9197492035031307, 1.8055360122457145, 1.7097390028426664, 1.6299562557966378, 1.5638868640471457, 1.5094446181656664, 1.4648004119520219, 1.4283841707665561, 1.3988660996694788, 1.3751291300651591, 1.3562392369722016, 1.3414170825542355, 1.3153731160529858, 1.3080399545642667, 1.3118330451916462, 1.3220335005260253, 1.3355561870792656, 1.3502798913556646, 1.3646855808176499, 1.3776644415852173, 1.3884190380855792, 1.3964133002952026, 1.4013446806554601, 1.4031223711309242, 1.4018426210189199, 1.3977574969628432, 1.3912373375835341, 1.3827296952115344, 1.3727187070893736, 1.3616887453283146, 1.3500952072295775, 1.3383438881505416, 1.3267789703905046, 1.3156785751862421, 1.3052561968892531, 1.2956661509741072, 1.2870113090721791, 1.2793517236120926, 1.2727131375070215, 1.2670947447321241, 1.2624758700578442, 1.258821456667141, 1.2560863945335212, 1.2542188051852077, 1.2531624369107288, 1.2528583339003723, 1.2532459352638896, 1.2542637437890849, 1.2558496851718417, 1.2579412594108035, 1.2604755686714917, 1.2633892906953628, 1.2666186536525985, 1.2700994567998436, 1.2737671708735652, 1.2775571423410859, 1.2814049160667358, 1.2852466814480372, 1.2890198376530939, 1.2926636644780896, 1.2961200769549595, 1.2993344347168119, 1.3022563718659041, 1.3048406102424068, 1.3070477189921497, 1.3088447863971049, 1.3102059760350633, 1.3111129481743085, 1.3115551383550059, 1.3115298976724348, 1.3110425126115579, 1.3101061357095056, 1.3087416713443534, 1.3069776733687624, 1.3048503232901489, 1.3024035698602801, 1.2996895243566642, 1.2967692221130864, 1.2937138821492185, 1.2906068258595547, 1.2875462562219415, 1.2846491553970278, 1.2820566365944044, 1.2799411927179254, 1.2785164279656485, 1.2780500484788591, 1.2788811325540552, 1.2814430025224663, 1.2862933658693638, 1.2941537314064266, 1.3059603046638624, 1.3229283275344514, 1.3466305381767061, 1.3790869149072558, 1.4228550569487728, 1.4810951801117331, 1.5575566687101612, 1.6563921168899305, 1.781657387863449, 1.9363367512862784, 2.12082136652021, 2.3310787950837137, 2.5572932275234503, 2.7841931848250567, 2.9939010510972821, 3.1706035356913511, 3.3047276359573234, 3.3943900255918953, 3.443782516528616, 3.4599468249656384, 3.4496436901919005, 3.4171801447970074, 3.3632543486009943, 3.2846520422849723, 3.1749057864236021, 3.026464008690978, 2.8348970023431184, 2.6043236568328312, 2.350680238842771, 2.098700298242945, 1.8729374571043644, 1.689121598262294, 1.5515567507757511, 1.456157860969002, 1.3951370806051226, 1.3604742908574869, 1.3456045431775339, 1.3458884882129882, 1.3585227095384904, 1.3822974970296074, 1.417379839461953, 1.4651508479582969, 1.5280119646375301, 1.6089273033974383, 1.7102566745432277, 1.8312846425668474, 1.9643239143601159, 2.0912472798251041, 2.1850577236980464, 2.219929097684711, 2.19646577935307, 2.1310642394057506, 2.0365688279243011, 1.9286495880641128, 1.8208425130030308, 1.7219749625894509, 1.636180815353423, 1.5642802459939775, 1.5053078714651296, 1.4576255653543631, 1.419564779846715, 1.389737023554698, 1.3671608788820793, 1.3513081558555162, 1.3421278669401258, 1.3400774869863681, 1.3461730987826259, 1.3620568812730365, 1.3900654840878957, 1.4332602393398886, 1.4953458583178481, 1.5803614969547513, 1.6919996749165889, 1.8324524325836171, 2.0008867346817025, 2.1920445838101279, 2.3958533374924196, 2.5988398142690778, 2.7872317981991181, 2.9504136952904356, 3.0830461419621775, 3.1850973880343161, 3.2603320269099734, 3.3143595051166921, 3.3530591108946259, 3.3816494482455322, 3.4043041762606254, 3.4241021121469633, 3.4431288659948138, 3.4626144336742017, 3.483047718268284, 3.5042445636130073, 3.5253656558359143, 3.5448924643531079, 3.5605798000810513, 3.569416972251009, 3.5676475326748882, 3.5509170045760055, 3.5146274892877325, 3.4545564540878422, 3.3677200677252559, 3.2533247744123681, 3.113502909084739, 2.9534771704268361, 2.7809458501466429, 2.6048022808536242, 2.4336110808138591, 2.2743483835301728, 2.1317309628291023, 2.0081642099598249, 1.9041219158462284, 1.818709914899306, 1.750220317141852, 1.696574722892249, 1.6556299446304779, 1.6253620678732059, 1.6039599313304365, 1.5898588663151403, 1.5817390666659294, 1.57850551113107, 1.5792601339381238, 1.5832724557862519, 1.5899519487793328, 1.5988236177486221, 1.609507261915323, 1.6217003486822026, 1.6351641895224609, 1.6497130313294583, 1.665205689676605, 1.6815394102433201, 1.698645728881131, 1.7164882002209623, 1.7350619789349606, 1.7543953731675104, 1.7745536594540463, 1.79564567442275, 1.8178340149837189, 1.8413501390951525, 1.8665163471728143, 1.8937776690831694, 1.9237482765164444, 1.9572794469053725, 1.9955595774987001, 2.0402611329989853, 2.093752548358812, 2.1593849983443301, 2.2418061216414147, 2.3470079839432145, 2.4809321913361555, 2.6427298381962019, 2.8034361334473417, 2.8689665508684445, 2.7100686401341574, 2.3550878385865914, 1.9995824534438666, 1.7517000804498453, 1.6016689664745376, 1.5131770540341116, 1.4596944615673557, 1.4261912300439754, 1.4048799496840345, 1.3919853976784311, 1.3858853393254942, 1.386076484835856, 1.3925668091803409, 1.4054833775239188, 1.4248004600639543, 1.4501548775064386, 1.4807444561754759, 1.5153123692923267, 1.5522127475192182, 1.5895394578985873, 1.6252888058173407, 1.6575240030355765, 1.6845156253953113, 1.7048444922369463, 1.7174660746797279, 1.7217443441851237], [2.6045336873884786, 2.572206592563659, 2.4823026695550316, 2.3533300015578318, 2.2081585772268646, 2.0662908890616865, 1.9396821976452665, 1.8330261568987518, 1.746326982675851, 1.6774983306026101, 1.6241001926964871, 1.5842934953113494, 1.5573758571918184, 1.5442300941181468, 1.5479386526175407, 1.5747639143321273, 1.6355915994090657, 1.7474897939665701, 1.9335114213949915, 2.2153358063777047, 2.5906711537342066, 3.00188360737434, 3.3428540471813304, 3.5340710874711778, 3.5794336056176812, 3.5352310686472803, 3.4566668908276288, 3.3778966512437361, 3.3155544846354696, 3.2765558924480036, 3.263501049169343, 3.2774766808206084, 3.3192197362529958, 3.3892630626348006, 3.4871845704705211, 3.6096452886432027, 3.7466159851952927, 3.8756078428894072, 3.9563842062808083, 3.9347863880491731, 3.7672119220462923, 3.4577678983155593, 3.0674662175120599, 2.6757086915384991, 2.3365193008584635, 2.0681055714103458, 1.8658648486266622, 1.7168276734188592, 1.6076123503928264, 1.527239035737862, 1.4674988150002037, 1.4225015471795859, 1.3880898524077243, 1.3613401350540375, 1.3401899029942881, 1.3231741674253437, 1.3092432425214475, 1.2976377749413992, 1.287802989977066, 1.2793295587344715, 1.2719125213603029, 1.2653225056064485, 1.2593853738987761, 1.2539676955246544, 1.2489662809048367, 1.2443005751143714, 1.2399070832636707, 1.2357352538105273, 1.2317444184543356, 1.2279015059128504, 1.22417932935403, 1.2205553053414346, 1.2170105037673125, 1.2135289588050697, 1.2100971942080123, 1.2067039351074207, 1.2033399950469832, 1.1999983433276959, 1.1966743759306904, 1.1933664358985485, 1.1900766596262964, 1.1868122693148, 1.1835874971329794, 1.1804264268079947, 1.1773671956602487, 1.1744682523542682, 1.1718177786077888, 1.1695480737296848, 1.1678578820765522, 1.1670477128208434, 1.1675769203157613, 1.1701581796902178, 1.1759180288002924, 1.1866775903305902, 1.2054584636418078, 1.2374219658618262, 1.2916564269899158, 1.3846023687297555, 1.5463164529193716, 1.8294185421126159, 2.3070152779238446, 2.9919607502637673, 3.6123169490682812, 3.7259934896899298, 3.3913256431035173, 2.9627162203677493, 2.6081671230886769, 2.3463330083786964, 2.156658403481496, 2.017683660196218, 1.9137701876662627, 1.8343915631277332, 1.7725435934771825, 1.7235142478685346, 1.6840738653428919, 1.6519628163133822, 1.6255680829205399, 1.6037166677166397, 1.585541345019305, 1.5703917746506244, 1.5577745543093922, 1.5473120882478311, 1.5387139339482696, 1.5317565911544109, 1.5262691225311522, 1.5221228937433207, 1.5192242992444536, 1.5175097216219029, 1.5169422318103187, 1.5170313284700407, 1.5172989018691163, 1.5177458042430516, 1.5183734625953269, 1.5191838887049314, 1.5201796933199128, 1.52136410472519, 1.5227409919324604, 1.5243148928060704, 1.5260910475102529, 1.5280754377446466, 1.5302748323243993, 1.5326968397666767, 1.5353499686610732, 1.53824369674213, 1.5413885497376931, 1.5447961912558132, 1.5484795251895362, 1.5524528123769248, 1.556731803558614, 1.5613338910363175, 1.5662782818691223, 1.5715861959591928, 1.5772810930006484, 1.5833889330133499, 1.5899384760868958, 1.5969616280596743, 1.604493840193763, 1.6125745725408356, 1.621247832697309, 1.6305628041117823, 1.6405745811505572, 1.6513450318952083, 1.6629438143275754, 1.6754495773913625, 1.6889513857081946, 1.7035504158509966, 1.7193619835268725, 1.7365179753901343, 1.7551697772460175, 1.7754918129969823, 1.7976858368653925, 1.8219861562922068, 1.8486660054638704, 1.8780453401487209, 1.9105003825999982, 1.9464753068372891, 1.9864965094761875, 2.0311899364745218, 2.0813018836045885, 2.1377234611526919, 2.2015183204137596, 2.2739519115369533, 2.3565177750716613, 2.4509508465046035, 2.5592070841670531, 2.683368803106406, 2.8253995589626739, 2.9866138503510395, 3.166644826105447, 3.3616225402305053, 3.5613589861526647, 3.745937524791306, 3.8837447257329019, 3.9353727922191881, 3.8676157758895964, 3.6735016724499427, 3.3821885592737559, 3.0463619371234079, 2.7172885550952759, 2.4280417828704786, 2.1918140579760288, 2.0084526232865594, 1.8715253433498533, 1.7729148328759137, 1.7050500584774877, 1.6616971806043848, 1.6380589249160478, 1.6306094690998312, 1.636865953367681, 1.655176354607786, 1.6845469237450461, 1.7245086259346465, 1.7750126375521207, 1.836340590856135, 1.9090112672026898, 1.9936593595903127, 2.0908525071695534, 2.2008004681028024, 2.3228995142473381, 2.4550596610665765, 2.5928128904282444, 2.7283470881369536, 2.8498933797135493, 2.9422416891989971, 2.9892271113672706, 2.9782546839308912, 2.9052312487063685, 2.7769795346053079, 2.6092369688644643, 2.4213653048972401, 2.2309397334424395, 2.0506344173315894, 1.8877092121355636, 1.7450625929852075, 1.6227259207694344, 1.5191564335761436, 1.4321331495444707, 1.3592915995945043, 1.2984022555487713, 1.2474908067749495, 1.2048705437532681, 1.1691308078159688, 1.1391066664542375, 1.1138431630770478, 1.092560636005693, 1.0746238569261843, 1.0595158104319566, 1.0468160159088769, 1.0361829082800196, 1.0273396804393962, 1.0200630045533807, 1.0141741172086798, 1.0095318374413067, 1.0060271697268031, 1.0035792190872574, 1.0021322107705792, 1.0016534631013583, 1.0021322107705679, 1.0035792190872315, 1.0060271697268106, 1.0095318374413011, 1.0141741172086653, 1.0200630045533758, 1.0273396804393948, 1.0361829082800214, 1.046816015908876, 1.0595158104319651, 1.074623856926203, 1.0925606360057047, 1.1138431630770096, 1.1391066664542324, 1.169130807815947, 1.204870543753261, 1.2474908067749277, 1.2984022555488264, 1.3592915995943986, 1.4321331495444116, 1.5191564335761576, 1.6227259207693392, 1.7450625929852588, 1.8877092121355856, 2.0506344173316133, 2.2309397334424306, 2.4213653048972921, 2.6092369688645483, 2.7769795346052049, 2.9052312487062539, 2.978254683930873, 2.9892271113672497, 2.9422416891990268, 2.8498933797135577, 2.728347088136974, 2.5928128904281329, 2.4550596610665405, 2.322899514247402, 2.2008004681027997, 2.0908525071695943, 1.9936593595904035, 1.9090112672026742, 1.8363405908561823, 1.7750126375521491, 1.7245086259346238, 1.6845469237450581, 1.6551763546077933, 1.6368659533677086, 1.6306094690998298, 1.6380589249160635, 1.6616971806044214, 1.7050500584775892, 1.7729148328759732, 1.8715253433496934, 2.0084526232865505, 2.1918140579761252, 2.4280417828708742, 2.7172885550956445, 3.0463619371236828, 3.3821885592739607, 3.6735016724501777, 3.8676157758895719, 3.9353727922190824, 3.8837447257328002, 3.7459375247912412, 3.5613589861526838, 3.3616225402305386, 3.166644826105272, 2.9866138503508317, 2.8253995589628507, 2.6833688031063536, 2.5592070841670687, 2.4509508465046905, 2.3565177750717563, 2.2739519115370102, 2.2015183204137254, 2.1377234611526355, 2.0813018836045925, 2.0311899364744699, 1.9864965094761888, 1.9464753068373204, 1.910500382599944, 1.8780453401486494, 1.8486660054638229, 1.8219861562922093, 1.7976858368654109, 1.7754918129969863, 1.7551697772459927, 1.7365179753900855, 1.7193619835268588, 1.7035504158509913, 1.6889513857081675, 1.6754495773913376, 1.6629438143275448, 1.6513450318952245, 1.6405745811505568, 1.6305628041117379, 1.6212478326972954, 1.6125745725408014, 1.6044938401937416, 1.5969616280596752, 1.5899384760868953, 1.5833889330133351, 1.5772810930006407, 1.5715861959591755, 1.5662782818691185, 1.5613338910363459, 1.5567318035586057, 1.552452812376951, 1.5484795251895527, 1.5447961912558295, 1.541388549737682, 1.5382436967421482, 1.5353499686611114, 1.5326968397666729, 1.5302748323244186, 1.5280754377446444, 1.5260910475102609, 1.5243148928060715, 1.5227409919324595, 1.5213641047251762, 1.5201796933199236, 1.5191838887049152, 1.5183734625953265, 1.517745804243064, 1.5172989018691294, 1.5170313284700421, 1.5169422318102836, 1.5169867724862105, 1.5171204442632029, 1.5173433965255141, 1.5176558787019387, 1.5180582409511498, 1.5185509351258906, 1.5191345160208811, 1.519809642911216, 1.5205770813889949, 1.5214377055074302, 1.5223925002441643, 1.5234425642962151, 1.5245891132218552, 1.5258334829456104, 1.5271771336460174, 1.5286216540468616, 1.530168766135813, 1.5318203303368834, 1.533578351166081, 1.5354449834022093, 1.5374225388100584, 1.5395134934544643, 1.5417204956497959, 1.5440463745940094, 1.5464941497400231, 1.5490670409644853, 1.5517684795990809, 1.554602120397411, 1.5575718545168071, 1.5606818236041631, 1.5639364350841147, 1.5673403787577855, 1.570898644832829, 1.5746165435182822, 1.57849972633309, 1.5825542092924141, 1.5867863981562, 1.5912031159432918, 1.5958116329398226, 1.6006196994554858, 1.6056355816111174, 1.6108681004764656, 1.6163266749115743, 1.6220213685118432, 1.6279629411020649, 1.6341629052827829, 1.6406335885921499, 1.6473882019194055, 1.6544409148857226, 1.661806939000438, 1.6695026195053746, 1.6775455369382564, 1.6859546195832402, 1.6947502681306705, 1.7039544940450042, 1.713591073341433, 1.7236857177022, 1.7342662651233698, 1.7453628925839137, 1.7570083535646004, 1.7692382436296819, 1.7820912977179426, 1.795609723275831, 1.8098395739133961, 1.824831168864812, 1.8406395642017361, 1.8573250824596994, 1.8749539080958317, 1.893598756962837, 1.9133396287298552, 1.9342646518264908, 1.9564710309349078, 1.9800661071355559, 2.0051685402807062, 2.0319096216542234, 2.060434721922503, 2.0909048739763074, 2.1234984813064535, 2.1584131283007322, 2.1958674467355981, 2.2361029590820776, 2.2793857687168684, 2.3260078921318192, 2.376287918012947, 2.4305705176170722, 2.4892240997831392, 2.5526355751791279, 2.6212007342227563, 2.6953081130194634, 2.7753133859712853, 2.8615002684948116, 2.9540226868249437, 3.0528217630023677, 3.1575104384623485, 3.2672192766592407, 3.3804008611662599, 3.4945999092170865, 3.6062150975815332, 3.7103091371927572, 3.8005635835774503, 3.8695106936737154, 3.9091755798051127, 3.9121848865580535, 3.8732175508148758, 3.7904328334571171, 3.6663517823684693, 3.5077578867117163, 3.3245518544681327, 3.1279465757305136, 2.9286300260251128, 2.7354260107408268, 2.5546691195493425, 2.3902082295352347, 2.243800995735711, 2.1156591088520269, 2.004978399867575, 1.9103718654431043, 1.8301845190189514, 1.7627017144336419, 1.706274691983986, 1.6593877141315367, 1.6206869554973922, 1.5889860304759338, 1.5632583449797932, 1.5426228496619725, 1.5263272230036959, 1.5137308131415455, 1.5042885840222124, 1.4905795017562813, 1.4921201644933604, 1.5029444501208462, 1.5190949861845837, 1.5378140817966011, 1.5570873668277483, 1.5753939265444015, 1.5915764074193055, 1.604778791825022, 1.6144188258315879, 1.6201736004017966, 1.6219645824256039, 1.6199344327199634, 1.614412933649511, 1.6058733021265881, 1.5948828549839695, 1.5820532436255803, 1.5679953322517708, 1.5532825776449293, 1.5384249829079397, 1.5238538750567168, 1.5099163056488649, 1.4968769975856189, 1.4849254624243076, 1.4741860596286105, 1.4647291801737152, 1.4565822445322598, 1.4497396904105233, 1.444171523992305, 1.4398302987720815, 1.4366565748237301, 1.4345830183061907, 1.4335373491550154, 1.4334443549408711, 1.4342271769334656, 1.4358080518027481, 1.4381086663216436, 1.4410502569820751, 1.4445535635220141, 1.4485387255284055, 1.4529251942679797, 1.4576317170579511, 1.4625764380398814, 1.4676771464660772, 1.4728516910192151, 1.478018566014768, 1.4830976626218504, 1.4880111658253297, 1.4926845663363701, 1.4970477468150367, 1.5010360944349108, 1.504591587771005, 1.5076638058143177, 1.5102108108872285, 1.5121998652743922, 1.5136079530258499, 1.514422092836019, 1.514639444124469, 1.5142672253162397, 1.5133224797803768, 1.51183174008151, 1.5098306546233424, 1.5073636523088214, 1.5044837308797685, 1.5012524639365183, 1.4977403315066047, 1.494027491026739, 1.4902051216152163, 1.486377496668744, 1.4826649703904358, 1.4792081051111314, 1.4761732201773088, 1.4737597108138629, 1.4722095656978038, 1.4718195995445951, 1.4729569976930532, 1.4760788131154792, 1.4817560029906816, 1.4907023324065398, 1.5038078157377492, 1.5221749970169425, 1.5471538091486081, 1.5803663497551173, 1.6237059867525574, 1.6792855207368815, 1.7492980318045048, 1.8357465349765258, 1.9400058396246298, 2.062219553983724, 2.2006222114159399, 2.3510001586411651, 2.5065981209151689, 2.6587245319525734, 2.7980352377198767, 2.916089973643385, 3.006560476826917, 3.0656305940935673, 3.0915649715556039, 3.0838212674541201, 3.042231752661968, 2.9667069327556304, 2.857724607002798, 2.7175780079669449, 2.5519083443834729, 2.3705522782263366, 2.1866812410700094, 2.0140862510984534, 1.8638453994535567, 1.7421614720188823, 1.650241709223786, 1.5857110492544968, 1.5444580337780001, 1.5221167620701594, 1.5149453529851085, 1.5202119676243662, 1.5362948834573986, 1.5626652165746373, 1.5998495965194115, 1.649401798552355, 1.7138399828067052, 1.7964015081390008, 1.9003058377729232, 2.0270495634155954, 2.173382544616123, 2.3276564321178781, 2.4683304729682374, 2.5682544466989947, 2.6045336873884786, 2.5801745388692328, 2.5111630238700418, 2.4085219057660732, 2.2870108982736674, 2.1610463312854566, 2.0415601991326287, 1.9348984557423743, 1.8434610667592455, 1.7670690055202356, 1.704246248288763, 1.6531001099811655, 1.6118134089420171, 1.5788726640230766, 1.5531502660009704, 1.5339199797993162, 1.5208504493793786, 1.5139982988527119, 1.5138085229516889, 1.521120988534598, 1.5371746752190967, 1.5635936515695057, 1.6023300644977561, 1.655531184457923, 1.7252948759275677, 1.8132901494396725, 1.9202580847560042, 2.0454776396739351, 2.186361995723423, 2.3383926740975012, 2.4955373336555029, 2.6511176993380521, 2.7988796333584567, 2.9339107728886882, 3.0531321125458297, 3.1552967991801748, 3.2406206699002298, 3.3102486554408057, 3.3657321322244895, 3.4086148793594035, 3.4401544560689112, 3.4611646889074859, 3.4719517501070469, 3.4723199985582411, 3.4616340128414578, 3.4389332138932485, 3.4031009794514491, 3.3530884255163769, 3.2881824835083089, 3.2082893345361247, 3.1141828107269909, 3.0076532555642661, 2.8914978276367025, 2.7693251769842093, 2.6451992605986496, 2.523198045486283, 2.4069886051393139, 2.2995084051282886, 2.2028013073336572, 2.1180075870084267, 2.045470718745539, 1.9849090305008175, 1.9356046466606567, 1.8965765453328935, 1.8667205451029232, 1.8449116321918639, 1.8300717724287132, 1.8212098761541418, 1.8174412930581321, 1.8179934217447549, 1.8222026522403814, 1.8295064520699125, 1.8394332036189098, 1.8515914752461589, 1.8656597473089154, 1.8813771696613064, 1.8985356464967706, 1.9169733817001622, 1.9365699379895109, 1.9572428416718961, 1.9789457868529603, 2.0016685514761656, 2.0254388328553916, 2.0503263498326256, 2.0764497581079775, 2.1039872112957343, 2.1331918144521209, 2.1644138212767121, 2.1981323083753925, 2.2350003287963394, 2.2759092918770314, 2.3220804385025358, 2.3751929136035943, 2.4375555717147845, 2.5123112146995901, 2.6035884794971418, 2.7162679361277995, 2.8542661781664531, 3.0142451828058854, 3.1685757015632228, 3.2384229055104341, 3.1113251212556885, 2.7806409977395945, 2.4037171995134767, 2.1121899640799335, 1.9236981839467659, 1.8081590732951196, 1.7362294810114842, 1.6890855891345911, 1.6561077526029402, 1.6316606285577482, 1.6129559949000547, 1.5988151728063804, 1.5889561213969394, 1.5835567321791462, 1.5829600556461676, 1.5874580627571062, 1.5971310177092088, 1.6117404904144039, 1.6306811404340196, 1.6529934145778178, 1.6774305303882604, 1.7025637239116482, 1.7269042523650122, 1.749021204992764, 1.7676399645448428, 1.7817143558920776, 1.7904730131266231, 1.7934452385142789], [3.0356042378641179, 3.004172028883576, 2.914603946466451, 2.7805284751007209, 2.6216893106784109, 2.4584256112823155, 2.3062282687350164, 2.1735176791640858, 2.0627297178160857, 1.9727377349301978, 1.9009969391923511, 1.8449068443205585, 1.802539719366792, 1.7730366342494648, 1.7569212863565618, 1.7565043108313378, 1.7764883182531259, 1.824792112706247, 1.9133586913549776, 2.0580357803017382, 2.2752817192150894, 2.5723179904023192, 2.9308075648724987, 3.2973890362238674, 3.6030343147654742, 3.8042967424742598, 3.9034822406037351, 3.9320879572759155, 3.9254352810344804, 3.9099222806072733, 3.9016577751463415, 3.9091008413078079, 3.9355412331175081, 3.9801968871406728, 4.0378138539932555, 4.096988745739111, 4.1380011921607709, 4.1324004620314598, 4.048441239332921, 3.8651429976640017, 3.5887346082860185, 3.255628967709979, 2.9150134878641074, 2.6061455824511852, 2.3482089747365329, 2.1436506614161743, 1.9860191178779658, 1.8660867881971384, 1.7750272242974927, 1.7055538890181938, 1.6520548533101687, 1.6103538484255249, 1.5773922022304321, 1.5509423277582726, 1.529381289151146, 1.5115220520289792, 1.4964912182063834, 1.4836415615998202, 1.4724897205033527, 1.4626717750626712, 1.4539114567550893, 1.4459972722927992, 1.4387659350898487, 1.4320902810453049, 1.4258703917911979, 1.4200270279421259, 1.4144967383945697, 1.4092281953453132, 1.4041794333354212, 1.3993157613822453, 1.3946081818722631, 1.3900321964338336, 1.3855669130992756, 1.381194394662614, 1.3768992081125875, 1.372668151559179, 1.3684901499902502, 1.3643563261782519, 1.3602602699368753, 1.3561985499655669, 1.3521715408425214, 1.3481846779583793, 1.3442503124797645, 1.3403904282178001, 1.3366406212134037, 1.333055962080784, 1.3297197136757637, 1.3267564545450921, 1.3243521251553361, 1.3227851649750342, 1.3224757920324939, 1.3240656291539685, 1.3285493016784733, 1.3374972289092799, 1.3534422601748752, 1.3805666299635038, 1.4259446290503537, 1.5017950356535652, 1.629396353997703, 1.8447473063442041, 2.200787439751009, 2.7391032596412237, 3.3745727313173819, 3.7938584043713863, 3.7669193340012264, 3.4530440697308595, 3.0928395945903433, 2.789154464462765, 2.555708210389029, 2.3799770352690564, 2.2470246505572735, 2.1450260389867486, 2.0655083919033572, 2.0025519862461638, 1.9520167617417983, 1.9109749330991528, 1.8773252880961275, 1.8495363961884363, 1.8264756074100115, 1.8072941456190721, 1.791348916300596, 1.7781485746497476, 1.7673158463911287, 1.7585609143358141, 1.7516624768267459, 1.7464542355557799, 1.7428153206672046, 1.7406636601702996, 1.7399516419995849, 1.7400630244916249, 1.7403975353410577, 1.7409562672546466, 1.7417410500662351, 1.7427544638411201, 1.7439998574643831, 1.745481372962234, 1.7472039758844371, 1.7491734921630473, 1.751396651957535, 1.7538811411039861, 1.7566356609044163, 1.75966999713142, 1.7629950992764396, 1.7666231712551637, 1.7705677749888609, 1.7748439485289469, 1.7794683406767575, 1.7844593643889608, 1.7898373716580318, 1.7956248530285961, 1.8018466654744927, 1.8085302930289926, 1.8157061453641876, 1.8234079004770449, 1.8316728987949304, 1.8405425974102401, 1.8500630948385077, 1.8602857387377405, 1.8712678315058209, 1.8830734516874839, 1.8957744127919944, 1.9094513855922086, 1.924195215418582, 1.940108472583322, 1.9573072821030257, 1.9759234885851069, 1.9961072237660271, 2.0180299579371423, 2.041888132455961, 2.067907488473709, 2.0963482260868722, 2.1275111463168024, 2.1617449414583594, 2.1994547992738536, 2.2411124580393067, 2.2872677647499855, 2.3385615978055991, 2.3957396290936885, 2.4596656616081658, 2.5313319143438573, 2.6118611687423603, 2.7024913622809943, 2.8045257803812524, 2.9192196720038535, 3.047554815313648, 3.1898263865598819, 3.3449365434518614, 3.5092797752388014, 3.6751815235554206, 3.8291453189593239, 3.9508277645536638, 4.0145802638936985, 3.9955841431803467, 3.8802059335689085, 3.6751699786568364, 3.4077994325045342, 3.1156096105147633, 2.8326889411850229, 2.5814863905446779, 2.3720625104436004, 2.2055652866244979, 2.0783273183020969, 1.9848741211347682, 1.9196361916855436, 1.8777288477266156, 1.855200260592049, 1.8490239633962526, 1.8569912009132479, 1.8775786424460446, 1.9098221639630375, 1.9532042012403679, 2.0075501676502814, 2.0729221743558148, 2.1494921705118477, 2.2373699333660775, 2.3363542533889845, 2.4455713881798919, 2.5629722621264888, 2.6846968016265502, 2.8044066595128054, 2.9128551319727705, 2.9981661657758409, 3.0473606373622029, 3.0493005583551618, 2.9982906886268301, 2.8966119825722267, 2.7543501960532941, 2.5864153915981798, 2.4083907195403502, 2.2332224492948369, 2.0697319597070578, 1.9227161537521751, 1.7938727418478249, 1.6828887146882476, 1.5883454856436221, 1.5083462634154248, 1.4408976254087926, 1.3841145101781318, 1.3363131538425677, 1.2960393451073404, 1.2620627188254532, 1.2333554222247991, 1.2090653654768333, 1.188489336413602, 1.1710484308818208, 1.1562667110971254, 1.1437532167199378, 1.1331870861952162, 1.1243054044769853, 1.1168933669588854, 1.1107763773310575, 1.1058137467932139, 1.101893717156988, 1.0989295831919212, 1.0968567370724369, 1.0956304993211923, 1.0952246367220158, 1.095630499321181, 1.0968567370724123, 1.0989295831919297, 1.1018937171569825, 1.1058137467932005, 1.1107763773310504, 1.1168933669588834, 1.1243054044769876, 1.133187086195216, 1.1437532167199453, 1.1562667110971419, 1.171048430881827, 1.1884893364135674, 1.2090653654768282, 1.2333554222247813, 1.2620627188254496, 1.2960393451073191, 1.3363131538426054, 1.3841145101780521, 1.4408976254087458, 1.5083462634154328, 1.5883454856435484, 1.6828887146882892, 1.7938727418478426, 1.9227161537521957, 2.0697319597070503, 2.2332224492948884, 2.4083907195404408, 2.586415391598075, 2.7543501960531409, 2.8966119825722472, 2.9982906886268004, 3.0493005583551143, 3.0473606373621802, 2.9981661657758307, 2.9128551319726763, 2.8044066595127588, 2.6846968016266075, 2.5629722621264777, 2.4455713881799284, 2.33635425338908, 2.2373699333660575, 2.1494921705119032, 2.0729221743558459, 2.0075501676502538, 1.9532042012403741, 1.9098221639630537, 1.8775786424460807, 1.8569912009132494, 1.8490239633962886, 1.8552002605920879, 1.8777288477266918, 1.9196361916855849, 1.9848741211346606, 2.0783273183020974, 2.2055652866245623, 2.3720625104439104, 2.581486390544967, 2.8326889411852525, 3.1156096105149671, 3.4077994325048513, 3.675169978656919, 3.8802059335688357, 3.9955841431803059, 4.0145802638936097, 3.9508277645536243, 3.8291453189592968, 3.6751815235552279, 3.50927977523857, 3.3449365434520306, 3.189826386559814, 3.0475548153136556, 2.9192196720039547, 2.8045257803813661, 2.7024913622810587, 2.6118611687423141, 2.5313319143437805, 2.459665661608168, 2.3957396290936224, 2.3385615978055947, 2.2872677647500232, 2.2411124580392401, 2.1994547992737647, 2.161744941458303, 2.1275111463168068, 2.0963482260868989, 2.0679074884737156, 2.0418881324559317, 2.0180299579370811, 1.9961072237660091, 1.9759234885851025, 1.9573072821029909, 1.9401084725832896, 1.9241952154185435, 1.9094513855922315, 1.8957744127919947, 1.8830734516874266, 1.871267831505806, 1.8602857387376983, 1.85006309483848, 1.8405425974102423, 1.8316728987949324, 1.8234079004770263, 1.8157061453641778, 1.8085302930289695, 1.8018466654744885, 1.7956248530286301, 1.7898373716580207, 1.7844593643889941, 1.7794683406767777, 1.7748439485289678, 1.7705677749888471, 1.7666231712551828, 1.762995099276488, 1.759669997131412, 1.75663566090444, 1.7538811411039832, 1.7513966519575435, 1.7491734921630493, 1.7472039758844369, 1.7454813729622192, 1.7439998574643976, 1.742754463841101, 1.7417410500662327, 1.7409562672546599, 1.7403975353410752, 1.7400630244916269, 1.7399516419995431, 1.740007323470329, 1.7401744321181365, 1.7404531608297908, 1.740843831684548, 1.741346896859598, 1.7419629399040593, 1.7426926773879763, 1.7435369609353129, 1.744496779651282, 1.7455732629563188, 1.7467676838423916, 1.7480814625681018, 1.7495161708130453, 1.7510735363130008, 1.7527554480020153, 1.7545639616890836, 1.7565013063011767, 1.7585698907278158, 1.7607723113062113, 1.7631113599895474, 1.7655900332477226, 1.7682115417517963, 1.7709793209011808, 1.7738970422587372, 1.7769686259636892, 1.7801982542018489, 1.7835903858192779, 1.7871497721758478, 1.7908814743433612, 1.7947908817656149, 1.7988837325096396, 1.8031661352502604, 1.8076445931461413, 1.8123260297819639, 1.8172178173708617, 1.8223278074308065, 1.8276643641742962, 1.8332364008744562, 1.8390534195024424, 1.8451255539621185, 1.8514636172846974, 1.8580791531895591, 1.8649844924594818, 1.8721928146346554, 1.8797182155837775, 1.887575781579, 1.8957816705709434, 1.904353201443842, 1.9133089521205897, 1.9226688674897556, 1.9324543782403607, 1.942688531815477, 1.9533961368373753, 1.9646039225111054, 1.9763407146840273, 1.9886376304254492, 2.0015282931935108, 2.0150490708704973, 2.0292393391803167, 2.0441417732342471, 2.0598026701894847, 2.0762723062294648, 2.0936053312688987, 2.1118612049309191, 2.1311046773881732, 2.1514063185671692, 2.1728430988911915, 2.1954990240897319, 2.2194658254631587, 2.2448437051598171, 2.2717421331858412, 2.3002806886176792, 2.3305899312349516, 2.3628122807349117, 2.3971028677187878, 2.4336303022265362, 2.4725772796596619, 2.5141409076485361, 2.5585325870179965, 2.6059772104866985, 2.65671134767998, 2.7109799563821588, 2.7690309881620419, 2.8311070312100099, 2.8974328451276281, 2.9681972874738749, 3.0435277193829342, 3.1234545449358673, 3.207863176521268, 3.2964306079720491, 3.3885442454669437, 3.4832022243421288, 3.5788978992994815, 3.6734974816971557, 3.7641297216701561, 3.847120017385806, 3.9180160775492654, 3.9717620911233071, 4.003072488201318, 4.007022090723293, 3.9798006530942751, 3.9194899102818836, 3.8266504622717004, 3.7045072892229309, 3.558624701748232, 3.3961320183898271, 3.2247153860042079, 3.0516483937834655, 2.8830762657487958, 2.7236446768782101, 2.5764456835570795, 2.4431848975023556, 2.324460719946007, 2.2200682606037763, 2.1292739791681368, 2.0510367358131454, 1.9841709920893673, 1.9274586374625176, 1.8797199967173113, 1.8398548067861986, 1.8068624116146479, 1.7798483593169006, 1.7580226248069961, 1.7406930681367139, 1.7272565172816308, 1.7171889888800846, 1.7100359588426031, 1.7054031954331346, 1.7034196729155813, 1.7141389061916186, 1.7326983455803218, 1.7556537842382625, 1.7804462636421998, 1.8050952941619565, 1.8280332249185707, 1.8480253112761542, 1.8641385094366207, 1.8757334594858464, 1.8824618583711188, 1.8842574521784339, 1.881314094455095, 1.8740489434864931, 1.8630527524421401, 1.8490320323661067, 1.8327493506244144, 1.8149680608362617, 1.7964065272996694, 1.7777048670493087, 1.7594049833450605, 1.7419427448466638, 1.7256499044446054, 1.7107628255140814, 1.6974351666152596, 1.6857521469544348, 1.6757446506972338, 1.6674020595182628, 1.6606832317976976, 1.6555254370620252, 1.6518513096459662, 1.649574030664575, 1.648601012695601, 1.6488363751059887, 1.6501824817579693, 1.652540782370105, 1.6558121638990102, 1.659896984445292, 1.6646949319067594, 1.6701048235493114, 1.6760244404047682, 1.6823504709898001, 1.6889786211701621, 1.6958039301068197, 1.7027213154082441, 1.709626353571905, 1.7164162846319531, 1.7229912131614706, 1.7292554622656691, 1.7351190240289813, 1.7404990401817211, 1.7453212415488397, 1.7495212748618958, 1.7530458510454983, 1.7558536599269028, 1.7579160117419004, 1.7592171846733624, 1.7597544785209027, 1.7595379959045236, 1.7585901926801939, 1.7569452572716071, 1.7546483935915571, 1.7517550937908193, 1.748330495411949, 1.7444489232700824, 1.7401937205520599, 1.7356574775007996, 1.730942771019206, 1.7261635359069578, 1.721447199272707, 1.7169377244015298, 1.7127997284562786, 1.7092238575984851, 1.7064336183622699, 1.7046938657004085, 1.7043211189053458, 1.7056957877773038, 1.7092761966058798, 1.7156139214826889, 1.7253693038690132, 1.7393249328679732, 1.7583932435548568, 1.7836120365768238, 1.816118726549043, 1.8570909289014763, 1.9076388516763636, 1.968636334724567, 2.0404859742716597, 2.1228333363941734, 2.2142762672748235, 2.3121497900220103, 2.4124854861608469, 2.5102216829706845, 2.599666602981519, 2.6751162257445289, 2.7314604732036858, 2.7646274050496422, 2.7718141592573788, 2.7515755391526362, 2.7039098727430879, 2.6304501465916368, 2.5347384696395063, 2.422389997753946, 2.3008520832277224, 2.1785640195318821, 2.0636392695473149, 1.9625280839734038, 1.8791868996963477, 1.8150057455518527, 1.7693581916008436, 1.7404245197414343, 1.7259702099154186, 1.7239185493517533, 1.732700487951397, 1.7514399164329291, 1.78004756952771, 1.8192792751511906, 1.8707815614705763, 1.9370997192463146, 2.0215457208042213, 2.1276987393623359, 2.2581634876406578, 2.4122187811888369, 2.5825928911212963, 2.7531353156181306, 2.9004197586813492, 3.0003028949653028, 3.0356042378641179, 3.0119582037644039, 2.9437168959162983, 2.8387724589793231, 2.7091533019899767, 2.5686105466104863, 2.4295623018365906, 2.3008805592440278, 2.1873345670333308, 2.0903438739549132, 2.0092077082621471, 1.9421978492722742, 1.8872959558259994, 1.8426025307138982, 1.8065231534447106, 1.7778294529745007, 1.7556604972176413, 1.7395017858461461, 1.729159821066955, 1.7247386829784319, 1.7266182197487754, 1.7354291198803165, 1.7520170183051194, 1.7773856072827909, 1.8126080722750564, 1.8586984334400256, 1.9164413174546027, 1.9861914571923336, 2.0676716177478598, 2.1598144258866343, 2.2607005395133282, 2.3676334325391872, 2.477357486094756, 2.5863812901360461, 2.6913321915630695, 2.7892594200277614, 2.8778254480488594, 2.9553657666829203, 3.0208361155154089, 3.0736891212970994, 3.1137263847743735, 3.1409630510085784, 3.1555279088903965, 3.1576089768781044, 3.1474447426336845, 3.1253545858726248, 3.0917972761203174, 3.0474428645830471, 2.9932406877718325, 2.9304653744291222, 2.860724945360583, 2.7859211748452322, 2.7081619229179528, 2.6296360511725996, 2.5524705427250307, 2.4785935101108438, 2.409624548923583, 2.3468064231881898, 2.2909822075856288, 2.2426130082672797, 2.2018255065563492, 2.1684764997382135, 2.1422226847016836, 2.1225868244749808, 2.1090148536658222, 2.1009215147250342, 2.0977243470503772, 2.0988672171663456, 2.1038352279341512, 2.1121629951362153, 2.1234381351723259, 2.1373015241394193, 2.1534455689428023, 2.1716114337867141, 2.1915859178647379, 2.2131984908126641, 2.236318860047021, 2.260855363161582, 2.2867544435891038, 2.3140014752965055, 2.3426232523516957, 2.3726925562880159, 2.4043353684940509, 2.4377415235368511, 2.4731799275916204, 2.5110199266282835, 2.5517610345425412, 2.59607402790345, 2.6448572754586528, 2.6993126329592849, 2.7610437814692776, 2.8321720213661492, 2.9154374518446908, 3.0141717842780618, 3.1317995117755859, 3.2699298900440859, 3.4228239529933653, 3.5647102370905714, 3.6322018152920719, 3.5350373132702653, 3.2463607561899166, 2.8733777331828882, 2.5490346969322659, 2.3209659831705238, 2.1743402639003571, 2.0812236423686183, 2.0198995298012346, 1.9767081930157637, 1.9437367586256036, 1.916634038646845, 1.8931825671782121, 1.8724453187212058, 1.8542541705185305, 1.838883458242409, 1.826819416091872, 1.8185808972019912, 1.8145746053400127, 1.8149843467038658, 1.8197009823033965, 1.8282992882642244, 1.8400619829097467, 1.8540431043974228, 1.8691563806453846, 1.884271747207505, 1.8983051964464424, 1.9102922692567037, 1.9194414882921131, 1.9251689401078558, 1.9271180189045374], [3.4554902341150289, 3.4288036563511755, 3.3505280491917899, 3.2271459853509072, 3.0712664472686533, 2.900055958548696, 2.7305632551093404, 2.5752772871202749, 2.4406034347361545, 2.3279966602759812, 2.2360393772090159, 2.1622209495219931, 2.1040658768554756, 2.0597426957660576, 2.0283923246404325, 2.0103680740198282, 2.0075093040344094, 2.023506209261587, 2.0643283083368642, 2.1385206476953376, 2.2568348907655222, 2.4301585155524723, 2.6644845363691374, 2.9531079755825589, 3.2706150269105119, 3.5770107055601201, 3.8342307543662932, 4.0230468174793943, 4.1465102144658514, 4.2209505155189735, 4.2650463974010906, 4.2933256344842974, 4.3139303496183006, 4.3283600155939022, 4.3316582630147646, 4.3128172643514855, 4.2562729377477728, 4.1458975816130081, 3.9719270411858298, 3.7381434391632, 3.4638088400886069, 3.1772748578318324, 2.9052988186435678, 2.6654184321839338, 2.4646001662575951, 2.3020850831548891, 2.1730986798688017, 2.0716053409325204, 1.9918171434343392, 1.9288073442688098, 1.8786335288298353, 1.8382453349575907, 1.8053245218160991, 1.7781241983697853, 1.755331552937561, 1.7359590169608712, 1.7192612020513625, 1.7046727704476798, 1.6917624268080993, 1.6801989832294901, 1.669726334613864, 1.660144964873757, 1.6512982295851131, 1.6430621349881529, 1.6353376835904359, 1.6280451117802441, 1.6211195294161549, 1.6145076045703408, 1.6081650328725725, 1.6020546007460037, 1.5961447028382723, 1.5904082115986444, 1.5848216251779919, 1.579364441530767, 1.574018723953895, 1.5687688380370144, 1.5636013536187183, 1.5585051192886161, 1.5534715328637014, 1.5484950511235234, 1.5435740087140726, 1.5387118536382249, 1.5339189614289497, 1.529215271840545, 1.5246341165735036, 1.5202278001743115, 1.5160758021471945, 1.5122969599690639, 1.5090677969947786, 1.5066504991740768, 1.5054363188036344, 1.5060141163126437, 1.5092806728598023, 1.5166217709649821, 1.5302153094767663, 1.5535475644387846, 1.5923020858315233, 1.6558823924250239, 1.7599051702604072, 1.9296651621758036, 2.2021867145756953, 2.6153692328302074, 3.1558224556228907, 3.6690384962034961, 3.9112480172201201, 3.8204637044313423, 3.5516610475839441, 3.2567625457918146, 3.000770167263819, 2.7957014903314152, 2.6353105925156619, 2.5100102192353204, 2.4113545974073123, 2.3328335634059023, 2.2696405471105865, 2.2182651720808142, 2.1761373255802896, 2.1413599616079964, 2.112518599250639, 2.0885477659646186, 2.0686375547256932, 2.0521679498424685, 2.0386623437378488, 2.0277544049913874, 2.0191643459880777, 2.0126819169297905, 2.0081543174640673, 2.0054778076603816, 2.0045922119693382, 2.0047303247863133, 2.0051451209218465, 2.0058379767105343, 2.0068111970210851, 2.0080680318744086, 2.0096127000135233, 2.0114504197381606, 2.0135874474160107, 2.0160311241914419, 2.0187899315307387, 2.0218735563767418, 2.0252929668321671, 2.029060499462878, 2.0331899595001754, 2.0376967354480002, 2.0425979298505776, 2.0479125082768825, 2.0536614689206409, 2.059868035618825, 2.0665578775646392, 2.0737593595447623, 2.0815038271872144, 2.08982593247462, 2.0987640056912422, 2.1083604810499676, 2.1186623845194781, 2.1297218938836933, 2.1415969828496184, 2.1543521631284435, 2.1680593408968356, 2.1827988069549704, 2.1986603832857221, 2.2157447526237468, 2.2341650020753132, 2.2540484167479953, 2.2755385646089663, 2.2987977190689186, 2.3240096704708906, 2.3513829806032538, 2.3811547335889305, 2.4135948286218025, 2.4490108393472219, 2.4877534217252619, 2.5302221713379685, 2.5768716866493708, 2.628217344963228, 2.6848398753370883, 2.7473871100316076, 2.8165701448919842, 2.8931492836687074, 2.9779022125904162, 3.0715623662903115, 3.1747089003925399, 3.2875809109438667, 3.4097786841787219, 3.53980854110105, 3.6744378528803163, 3.8078794666988145, 3.9309620513461483, 4.0306996840250626, 4.0909953727527562, 4.0953100023885352, 4.0314619854148193, 3.8970497050285666, 3.7023775917840545, 3.4683673493903218, 3.2201936447036674, 2.9803248575137795, 2.7643463926590122, 2.5803253090729115, 2.4304212923667863, 2.3131228000419299, 2.2251387127867646, 2.1626571691084595, 2.1220466878298287, 2.100177281530176, 2.0945199529097729, 2.1031322211700019, 2.1245921704691053, 2.1579122397248862, 2.2024444113721429, 2.2577763941342361, 2.3236103924310973, 2.3996100857688245, 2.4851970959675822, 2.5792772237563333, 2.6798839807217698, 2.7837515182915138, 2.8858831342929694, 2.9792721272054643, 3.0550390694682226, 3.1032959716425439, 3.1148963086332198, 3.0837869246150054, 3.0091032486868041, 2.8959261223289339, 2.7541542342768235, 2.5959786232468836, 2.4331450583201883, 2.2750445924754676, 2.1279843421838494, 1.9953869294867046, 1.8784535037409724, 1.7769109253500219, 1.6896411829925224, 1.6151325121287137, 1.5517668903023831, 1.4979843915528679, 1.4523651676782789, 1.4136609483002067, 1.3807980268046351, 1.3528656690773233, 1.3290982375286955, 1.3088556685257435, 1.2916047073856287, 1.2769020029588483, 1.2643794406458913, 1.2537317148414615, 1.2447059626906121, 1.2370932120462212, 1.2307213856339274, 1.2254496209976311, 1.2211636954347129, 1.2177723781722953, 1.2152045642198575, 1.21340707383536, 1.212343027860153, 1.211990732489052, 1.2123430278601421, 1.2134070738353351, 1.2152045642198674, 1.2177723781722891, 1.2211636954347003, 1.2254496209976204, 1.2307213856339267, 1.2370932120462232, 1.2447059626906136, 1.2537317148414699, 1.2643794406459041, 1.27690200295885, 1.2916047073855961, 1.3088556685257375, 1.3290982375286819, 1.3528656690773209, 1.3807980268046141, 1.4136609483002347, 1.4523651676782174, 1.4979843915528315, 1.5517668903023873, 1.6151325121286535, 1.6896411829925519, 1.7769109253500373, 1.8784535037409931, 1.9953869294866973, 2.1279843421838986, 2.2750445924755458, 2.4331450583200902, 2.595978623246737, 2.7541542342768666, 2.895926122328905, 3.0091032486867118, 3.0837869246149645, 3.1148963086331811, 3.1032959716424933, 3.055039069468179, 2.9792721272054909, 2.8858831342929516, 2.7837515182915364, 2.6798839807218537, 2.5792772237563049, 2.4851970959676324, 2.3996100857688534, 2.3236103924310587, 2.2577763941342384, 2.2024444113721597, 2.1579122397249306, 2.1245921704691106, 2.103132221170056, 2.0945199529098111, 2.1001772815302333, 2.1220466878298545, 2.1626571691083862, 2.2251387127867628, 2.3131228000419726, 2.4304212923670261, 2.5803253090731277, 2.7643463926591818, 2.9803248575139452, 3.2201936447039801, 3.4683673493904497, 3.7023775917840243, 3.8970497050286057, 4.0314619854147571, 4.0953100023884783, 4.0909953727526904, 4.0306996840249196, 3.9309620513459622, 3.8078794666989202, 3.6744378528802333, 3.5398085411010367, 3.409778684178816, 3.2875809109439831, 3.1747089003926123, 3.0715623662902543, 2.977902212590323, 2.8931492836687074, 2.8165701448919029, 2.7473871100316076, 2.6848398753371283, 2.6282173449631427, 2.5768716866492527, 2.5302221713378978, 2.4877534217252695, 2.4490108393472529, 2.4135948286218087, 2.3811547335888936, 2.3513829806031792, 2.3240096704708706, 2.2987977190689106, 2.275538564608921, 2.2540484167479566, 2.2341650020752657, 2.2157447526237743, 2.198660383285723, 2.1827988069548989, 2.1680593408968178, 2.1543521631283902, 2.1415969828495833, 2.1297218938836928, 2.1186623845194772, 2.1083604810499459, 2.0987640056912298, 2.0898259324745947, 2.0815038271872068, 2.0737593595448023, 2.0665578775646298, 2.0598680356188668, 2.0536614689206636, 2.0479125082769092, 2.0425979298505603, 2.0376967354480264, 2.0331899595002336, 2.02906049946287, 2.0252929668321955, 2.0218735563767387, 2.0187899315307507, 2.016031124191441, 2.013587447416012, 2.0114504197381424, 2.0096127000135393, 2.0080680318743869, 2.0068111970210842, 2.0058379767105516, 2.0051451209218665, 2.004730324786316, 2.0045922119692849, 2.0046612560968069, 2.0048684697619734, 2.0052140970421828, 2.0056985454980416, 2.0063223873253149, 2.00708636097559, 2.0079913732537955, 2.0090385019037349, 2.0102289986947053, 2.0115642930244935, 2.0130459960583824, 2.0146759054247028, 2.0164560104924663, 2.0183884982578757, 2.0204757598722169, 2.0227203978454233, 2.0251252339647721, 2.0276933179722083, 2.0304279370484868, 2.0333326261566484, 2.0364111793054089, 2.0396676617953702, 2.0431064235201859, 2.0467321134022667, 2.0505496950478825, 2.0545644637180498, 2.0587820647191339, 2.0632085133290876, 2.067850216384683, 2.0727139956694023, 2.077807113255389, 2.0831372989667538, 2.0887127801497565, 2.0945423139530122, 2.10063522234227, 2.1070014300947353, 2.1136515060453855, 2.1205967078817411, 2.1278490308164013, 2.1354212604971661, 2.1433270305503158, 2.1515808851948486, 2.1601983474027819, 2.1691959931327585, 2.1785915322091567, 2.1884038964772987, 2.1986533359187885, 2.2093615234748274, 2.2205516693873175, 2.2322486459336162, 2.244479123496578, 2.2572717189743425, 2.2706571575949002, 2.2846684492491423, 2.2993410804906338, 2.3147132233613643, 2.3308259621795977, 2.347723539348189, 2.3654536211007953, 2.3840675838536911, 2.4036208214516321, 2.4241730730266782, 2.445788770362705, 2.4685374024945204, 2.4924938936336241, 2.5177389882651147, 2.5443596341712333, 2.5724493499502792, 2.6021085579322016, 2.6334448557855215, 2.6665731899263094, 2.7016158802889407, 2.7387024280606003, 2.777969014319567, 2.8195575665346309, 2.8636142296210099, 2.9102870264355216, 2.9597224267457056, 3.0120604614237521, 3.0674279181335482, 3.1259290361156755, 3.1876329844605102, 3.2525572709596124, 3.320646109429052, 3.3917427135008817, 3.465554554414918, 3.541610930085449, 3.6192129047354649, 3.6973770077664945, 3.774776272989194, 3.8496854594404302, 3.9199416320542171, 3.9829362478146955, 4.0356592461530774, 4.0748170614071135, 4.097041685351078, 4.0991936764170616, 4.0787373244285483, 4.0341350633678612, 3.9651812983968004, 3.873187813719503, 3.7609551330589865, 3.6325152344750826, 3.4926934384402273, 3.3465851755652314, 3.1990571595923716, 3.0543602129346459, 2.915897225376467, 2.7861449449124791, 2.6666974312313267, 2.5583866168417182, 2.4614378640389027, 2.3756287912243699, 2.3004318616008783, 2.2351316203024205, 2.1789146916860695, 2.1309348293687842, 2.0903571948779986, 2.0563864599924857, 2.0282829569096985, 2.0053703954826307, 1.9870378959216506, 1.9727383834077739, 1.9619848104817008, 1.9543452213489978, 1.9494373357250574, 1.9469230874795354, 1.9465033837236561, 1.9553060620013505, 1.9749995577018247, 2.0014258648801544, 2.0314525096759191, 2.062619095125275, 2.0929335476545945, 2.1207669384257115, 2.1448096027877237, 2.1640612732184072, 2.1778352230988052, 2.1857621656440949, 2.1877844976739174, 2.1841356780827881, 2.1753032076534908, 2.1619768866013787, 2.1449866829899462, 2.1252363758306472, 2.1036398008379775, 2.081065856883443, 2.0582966160645362, 2.0360004481885947, 2.0147196821084941, 1.9948705187951403, 1.9767519388705876, 1.96056017584274, 1.9464057339835128, 1.9343306388653068, 1.9243243818026898, 1.9163377032174791, 1.9102938838202703, 1.9060975667167235, 1.9036413423002414, 1.9028104279562765, 1.9034858025457995, 1.9055461410255004, 1.9088688587055493, 1.9133305312882201, 1.9188069138097847, 1.9251727426405949, 1.9323014708553181, 1.9400650581147385, 1.9483339105343154, 1.9569770424748443, 1.9658625095950486, 1.9748581400361569, 1.9838325679942304, 1.9926565514448393, 2.0012045342089366, 2.0093563930638383, 2.0169992945949815, 2.0240295753142594, 2.030354553356108, 2.0358941814822562, 2.0405824592774966, 2.0443685368000568, 2.0472174614813103, 2.0491105432350176, 2.050045337761492, 2.0500352730773743, 2.0491089676710099, 2.0473093089746781, 2.0446923770973409, 2.0413263104775594, 2.0372902173268383, 2.0326732398967327, 2.0275738785401543, 2.0220996802807814, 2.0163673932092392, 2.0105036843564794, 2.0046465151663506, 1.9989472649245086, 1.9935736869124843, 1.9887137712442267, 1.9845805662841229, 1.9814179674346897, 1.9795074028667741, 1.9791752083693046, 1.9808002572061982, 1.9848210558028245, 1.9917409859600359, 2.0021296264104671, 2.0166171054459903, 2.0358772797103151, 2.060594408004679, 2.0914073474507591, 2.1288259341206208, 2.1731172303967381, 2.224165855653006, 2.2813230576597761, 2.3432720019877111, 2.4079474966356149, 2.4725501154321994, 2.5336813275064358, 2.5875979091161203, 2.6305506335927391, 2.6591506336360529, 2.6707093232544423, 2.6635216776784723, 2.6370892953457399, 2.5922859593842782, 2.5314441666925811, 2.458301158632282, 2.3777254856147869, 2.2951888055671992, 2.2160537079877742, 2.1448590353858665, 2.0848161631854678, 2.0376487591132908, 2.003766723643952, 1.9826533080111612, 1.9733148783231818, 1.974682226006695, 1.9859152998512133, 2.0066134522244208, 2.0369580330332271, 2.0778162461855314, 2.1308200116244755, 2.1984007849405143, 2.2837022568030356, 2.3901968549555197, 2.5207152142951244, 2.6755800529380247, 2.8499326535160736, 3.0314755735936827, 3.2010977280257622, 3.3378474926529367, 3.425491962160101, 3.4554902341150289, 3.4354528694083664, 3.3763454990691741, 3.2817164406177608, 3.158548037795569, 3.0170928274058109, 2.8690505055878659, 2.7249773657434377, 2.5923945533695019, 2.4753080013509483, 2.374832649223328, 2.2902262149494437, 2.2198238275841184, 2.1616835215104095, 2.1139551929754616, 2.0750551794690906, 2.0437265864578906, 2.0190415457457433, 2.0003784484842662, 1.9873908810120244, 1.9799749590157121, 1.9782359950183515, 1.982452263250303, 1.9930320560438777, 2.010459878360876, 2.035228544078163, 2.0677563491145925, 2.1082925167751019, 2.1568193703043819, 2.2129650173320146, 2.2759437487101253, 2.3445406219804421, 2.4171504572644271, 2.4918704464866726, 2.5666329563434838, 2.6393554517362054, 2.7080814967953124, 2.7710914121113097, 2.8269711036754743, 2.874638784366959, 2.9133380745702806, 2.9426103752553563, 2.9622595121476332, 2.9723187554475752, 2.9730260402709074, 2.964808859134243, 2.9482766894511627, 2.9242163772125238, 2.8935848061597151, 2.8574934820735316, 2.8171812512758208, 2.7739739446449554, 2.7292327538638403, 2.6842959006764313, 2.6404199615908683, 2.5987276067090033, 2.5601674507251957, 2.5254895599401785, 2.4952375425148992, 2.4697557350542731, 2.4492082747568182, 2.4336060174935144, 2.4228372652236736, 2.4166988665798956, 2.4149251632258144, 2.4172132186680617, 2.4232436141286335, 2.4326967434998701, 2.4452649706346863, 2.4606612540187682, 2.47862494175902, 2.4989254417460716, 2.5213644191563742, 2.5457770976655443, 2.572033163672951, 2.600037708578375, 2.6297326014188735, 2.661098668624017, 2.6941590737684966, 2.7289843427523057, 2.7656995747315962, 2.8044945233738439, 2.845637432823839, 2.8894937670212824, 2.9365512535966571, 2.9874528786095969, 3.0430393389802037, 3.1044012543824788, 3.1729373043799538, 3.250402779503458, 3.3389025580156622, 3.4407065613600154, 3.5575855096704969, 3.6889751429888618, 3.8276193211912357, 3.9511022434817091, 4.0116793717501151, 3.9425023903347758, 3.7091890566102044, 3.3695225572782492, 3.0341658722660925, 2.7725444344337431, 2.5927781485829859, 2.4752600065366828, 2.3981476751440178, 2.3452767599883768, 2.3062423500805425, 2.2747575608670476, 2.2471974769462517, 2.2216192874585645, 2.1971533774132634, 2.1736257307186411, 2.1513100175727056, 2.1307464165875274, 2.1125927239092732, 2.0974933882049975, 2.0859659041762875, 2.078312037624662, 2.0745634573741669, 2.0744679834113877, 2.0775157469507897, 2.0829971329297665, 2.0900793542939118, 2.097887425561058, 2.1055778701438244, 2.1123981280771127, 2.1177294501255832, 2.121114705625903, 2.1222744319699882], [3.813567185964839, 3.7945478289340762, 3.7368690145463503, 3.6403047169809595, 3.508550375747959, 3.3513836540829773, 3.1830591791368654, 3.0179317701026434, 2.8665822092151365, 2.7345259799821964, 2.6231202378063787, 2.5312563537080934, 2.4568431791480587, 2.3977814002592805, 2.3525130649627397, 2.3203245278382334, 2.3015493891888039, 2.2977585647965557, 2.3119634144192358, 2.3487827657213405, 2.4144093752364384, 2.516042582389892, 2.6602971510787587, 2.850213001594982, 3.081334360752042, 3.3389845979455162, 3.5998766785511975, 3.8390310164666523, 4.0382180039147562, 4.1902709776113287, 4.2973919154571929, 4.3661829483241679, 4.4029148296366234, 4.4106637600287941, 4.388374062652618, 4.3315379040959314, 4.2343638959519652, 4.093185840082227, 3.9100687736132516, 3.6946666561644412, 3.4627345526269222, 3.2317838650592448, 3.0164050226773416, 2.8256463130864531, 2.662962028843058, 2.5277112443242267, 2.4169663988117063, 2.3269297198894829, 2.2537970154494369, 2.1941773607318376, 2.1452343433645114, 2.1046814462147641, 2.0707149172153918, 2.0419290721467789, 2.0172350708308158, 1.9957911854337467, 1.9769462241544251, 1.9601950535515629, 1.9451442561983079, 1.9314858769767882, 1.9189774512581534, 1.9074268366676184, 1.8966806870099406, 1.8866156767500004, 1.8771318006428601, 1.8681472406753077, 1.8595944199203922, 1.8514169588236213, 1.8435673212939192, 1.8360049917770056, 1.8286950649240343, 1.8216071601129586, 1.8147145966519744, 1.807993784090473, 1.8014237973314144, 1.7949861195552057, 1.7886645485783392, 1.7824452754341793, 1.7763171591298674, 1.7702722405382396, 1.7643065637731978, 1.7584214088806402, 1.7526250908574819, 1.7469355555706867, 1.7413841167884259, 1.736020852264053, 1.7309224465062085, 1.7262036929034696, 1.7220345479467869, 1.718665735083114, 1.7164677174789569, 1.7159909053219331, 1.7180601179447614, 1.7239251058528384, 1.7355038743838469, 1.7557803834792727, 1.7894566811948185, 1.8440073607393335, 1.9312941061360778, 2.0696532905805136, 2.285116112593637, 2.6063098812269363, 3.0398608453011744, 3.5189642430272761, 3.8847178449261284, 4.0034828005472596, 3.8967146637124275, 3.6795496616853614, 3.444587718708592, 3.2338167815319747, 3.0580120898775305, 2.9152787931157005, 2.8001823726434965, 2.7071730595224253, 2.6315772418759527, 2.5697170673119221, 2.5187713295151224, 2.4765924884452666, 2.4415450543804202, 2.4123785633400527, 2.3881322446459201, 2.3680648254328944, 2.3516032096931361, 2.338305035228839, 2.3278313907617809, 2.3199270166271546, 2.3144060984420762, 2.3111423408937881, 2.3100624336392355, 2.3102305173276969, 2.3107353259453536, 2.3115785360857268, 2.3127629552418068, 2.3142925417363434, 2.3161724329748989, 2.3184089823812672, 2.3210098054876402, 2.3239838357753286, 2.3273413909946288, 2.3310942508418697, 2.3352557470332123, 2.3398408670032742, 2.344866372659455, 2.3503509358658685, 2.356315292593584, 2.362782417987098, 2.3697777249469079, 2.3773292892339541, 2.3854681045675039, 2.3942283717198802, 2.4036478262269796, 2.4137681100301407, 2.4246351931659964, 2.4362998525260089, 2.4488182157231844, 2.4622523792386768, 2.4766711112574824, 2.4921506509259546, 2.5087756171225704, 2.52664004114403, 2.5458485388236052, 2.5665176382763333, 2.5887772793175015, 2.6127724990156427, 2.6386653138595011, 2.6666368011506894, 2.6968893682008974, 2.7296491741857292, 2.7651686307422421, 2.8037288454094633, 2.8456417744705123, 2.8912517000845246, 2.9409354131862688, 2.995100127979506, 3.0541776179787048, 3.1186122674195342, 3.1888395719451386, 3.2652499806614692, 3.3481307513469605, 3.4375757141745007, 3.533349871175957, 3.6346937558220369, 3.7400541832785468, 3.8467388932769775, 3.9505216690053646, 4.0452829756820048, 4.1228637872616432, 4.173414010436268, 4.1865501341106057, 4.1534564442819306, 4.0695688167060515, 3.9368356422404127, 3.764296157001159, 3.5663545415239417, 3.3593991730027968, 3.1583057895446789, 2.9741651602188699, 2.8136409172399537, 2.6795427715509308, 2.5719336340381438, 2.4892453390565699, 2.4291500559078285, 2.3891376804386404, 2.3668474354229954, 2.3602268257859382, 2.3675817654314648, 2.3875625742713149, 2.4191125159326829, 2.4613917077562428, 2.5136794485850049, 2.5752513882856856, 2.6452240501297171, 2.7223586296723439, 2.8048208961144789, 2.8899083328317401, 2.973784177406138, 3.0513028076971254, 3.1160629968214124, 3.1608535995115639, 3.1786040741230628, 3.163769298707849, 3.1137932394880337, 3.0300767460785862, 2.9179491085596618, 2.7855667443796048, 2.6421780453457524, 2.4964317601481651, 2.3552426139634113, 2.2233605927783766, 2.1034932009638965, 1.9967222235136561, 1.9029948605091107, 1.8215599646779457, 1.751299914451248, 1.6909568968901625, 1.6392732503097185, 1.5950699123489258, 1.5572839481938152, 1.5249809060936081, 1.4973528051396006, 1.4737087063967784, 1.4534621020200327, 1.4361175622948092, 1.4212579505199396, 1.4085328331275553, 1.3976483175323382, 1.3883583336583929, 1.3804572657069789, 1.373773793647634, 1.3681657916363588, 1.3635161366462514, 1.3597292954727536, 1.3567285765716524, 1.3544539520352195, 1.3528603730134443, 1.3519165184938355, 1.3516039324859159, 1.351916518493826, 1.3528603730134181, 1.3544539520352317, 1.3567285765716444, 1.3597292954727418, 1.3635161366462385, 1.3681657916363568, 1.3737737936476364, 1.3804572657069827, 1.3883583336584011, 1.3976483175323511, 1.4085328331275528, 1.4212579505199054, 1.436117562294803, 1.4534621020200211, 1.473708706396778, 1.497352805139577, 1.5249809060936286, 1.5572839481937677, 1.5950699123488963, 1.6392732503097192, 1.6909568968901119, 1.75129991445127, 1.8215599646779586, 1.90299486050913, 1.9967222235136448, 2.1034932009639338, 2.2233605927784428, 2.3552426139633269, 2.4964317601480448, 2.6421780453457973, 2.7855667443795844, 2.917949108559557, 3.0300767460785414, 3.1137932394879821, 3.163769298707849, 3.1786040741230335, 3.1608535995115599, 3.1160629968213884, 3.0513028076971311, 2.9737841774061944, 2.8899083328317037, 2.8048208961145211, 2.7223586296723652, 2.64522405012967, 2.5752513882856825, 2.5136794485850245, 2.4613917077562895, 2.4191125159326892, 2.3875625742713793, 2.3675817654315079, 2.3602268257859791, 2.3668474354230091, 2.3891376804385964, 2.4291500559078338, 2.4892453390565947, 2.5719336340383392, 2.6795427715511049, 2.8136409172400838, 2.974165160218996, 3.1583057895449334, 3.3593991730029233, 3.5663545415239395, 3.7642961570012519, 3.9368356422403852, 4.0695688167060169, 4.1534564442818613, 4.186550134110556, 4.1734140104361801, 4.1228637872616734, 4.0452829756819257, 3.9505216690053309, 3.8467388932770392, 3.7400541832786369, 3.6346937558220884, 3.5333498711758788, 3.4375757141743994, 3.3481307513469525, 3.2652499806613742, 3.1888395719451341, 3.1186122674195795, 3.0541776179786027, 2.9951001279793741, 2.9409354131861831, 2.8912517000845286, 2.8456417744705478, 2.8037288454094673, 2.7651686307421941, 2.7296491741856332, 2.6968893682008694, 2.6666368011506809, 2.638665313859446, 2.6127724990155947, 2.5887772793174428, 2.566517638276367, 2.5458485388236052, 2.5266400411439442, 2.5087756171225508, 2.4921506509258915, 2.4766711112574442, 2.4622523792386772, 2.4488182157231817, 2.4362998525259814, 2.4246351931659822, 2.4137681100301105, 2.4036478262269734, 2.39422837171993, 2.3854681045674875, 2.3773292892340043, 2.3697777249469363, 2.3627824179871308, 2.3563152925935635, 2.3503509358658983, 2.3448663726595247, 2.3398408670032627, 2.3352557470332433, 2.3310942508418639, 2.327341390994643, 2.3239838357753295, 2.321009805487642, 2.3184089823812446, 2.3161724329749198, 2.3142925417363163, 2.3127629552418059, 2.3115785360857481, 2.3107353259453762, 2.3102305173276991, 2.3100624336391724, 2.3101464605294497, 2.3103986403030237, 2.3108192705419, 2.311408848128182, 2.3121680706173535, 2.3130978381697771, 2.3141992560495113, 2.3154736377030862, 2.3169225084327532, 2.318547609681366, 2.3203509039507617, 2.322334580376558, 2.3245010609876045, 2.3268530076798442, 2.3293933299403355, 2.3321251933591678, 2.3350520289723438, 2.3381775434831047, 2.3415057304138038, 2.3450408822448421, 2.3487876036057993, 2.3527508255853888, 2.3569358212365916, 2.3613482223604514, 2.3659940376566757, 2.370879672340414, 2.376011949331247, 2.3813981321316025, 2.3870459495194556, 2.3929636221932551, 2.3991598915181682, 2.4056440505339562, 2.4124259773992707, 2.4195161714604945, 2.4269257921490333, 2.4346667009242386, 2.4427515064985039, 2.4511936135938641, 2.460007275499966, 2.469207650717248, 2.4788108639851818, 2.4888340720141242, 2.4992955342459298, 2.5102146889853119, 2.5216122352433392, 2.5335102206389544, 2.545932135690085, 2.5589030148080312, 2.5724495442695567, 2.5866001773835352, 2.6013852569830016, 2.6168371452493733, 2.6329903607075669, 2.6498817219976893, 2.667550497717698, 2.6860385612175373, 2.7053905486797221, 2.7256540181014559, 2.7468796058647595, 2.7691211763635115, 2.7924359585916001, 2.8168846615764598, 2.8425315579447927, 2.8694445215900863, 2.8976950011642679, 2.9273579057273338, 2.9585113720445588, 2.9912363743970585, 3.0256161269317676, 3.0617352150647976, 3.0996783757167634, 3.1395288256581932, 3.1813660124418273, 3.2252626329185654, 3.2712807301173901, 3.319466640882875, 3.3698445257810281, 3.4224081728829012, 3.4771107344487291, 3.5338520408370835, 3.5924631558527165, 3.6526879171058981, 3.7141613789632411, 3.7763853907981328, 3.8387020555809785, 3.900266581793153, 3.9600221086769718, 4.0166804476500477, 4.0687142412997392, 4.1143675344462878, 4.1516926956057727, 4.1786212997023666, 4.1930741201216604, 4.1931100551787175, 4.1771055284575498, 4.1439457370752901, 4.0931996605821128, 4.0252456961912131, 3.9413176689471365, 3.8434531701210117, 3.734345485141052, 3.617121130782627, 3.4950803563602304, 3.3714429603553993, 3.2491356983993325, 3.130643796596531, 3.0179330636023982, 2.9124356835901755, 2.8150846207454205, 2.7263789052142733, 2.6464635315116247, 2.5752113881725061, 2.5122989132455209, 2.457270984782296, 2.4095934389961053, 2.3686935001940386, 2.3339894622279318, 2.3049114101589843, 2.2809148314254917, 2.2614888098694022, 2.2461602426107836, 2.2344952428851448, 2.2260986322632865, 2.220612201765308, 2.2177122386304458, 2.2171066720990447, 2.2185320823944989, 2.2217507360562236, 2.240115988287211, 2.2679737277409644, 2.301623265334336, 2.3381313424637131, 2.3751009826587977, 2.4105399762254205, 2.4427968401875155, 2.470538035369354, 2.4927463066314219, 2.5087256776415172, 2.5181035252988124, 2.5208239194627868, 2.5171289665094969, 2.5075266300499264, 2.4927450748437727, 2.4736754639321004, 2.4513072690669917, 2.4266619424018514, 2.4007315157363847, 2.3744279523181659, 2.3485470679231581, 2.3237482236318141, 2.3005485548296796, 2.2793288080484206, 2.2603471108814035, 2.243757080026358, 2.229627287506831, 2.2179599452534524, 2.2087074974598879, 2.2017864944976906, 2.1970886151265714, 2.1944890151869121, 2.1938523477636407, 2.195036865092959, 2.1978970144258438, 2.202284907582519, 2.2080509965203956, 2.2150442365523646, 2.2231119708705016, 2.2320997269794232, 2.2418510775412734, 2.2522076839280971, 2.2630096090789191, 2.2740959559113287, 2.2853058578500605, 2.2964798189945683, 2.3074613736647294, 2.3180990096873932, 2.3282482782685929, 2.3377739971293257, 2.3465524440082777, 2.3544734354137269, 2.3614421907792149, 2.3673808944121966, 2.3722298857300212, 2.3759484307305931, 2.3785150527118923, 2.3799274261804375, 2.3802018630468686, 2.3793724432137378, 2.3774898614193303, 2.374620077953979, 2.3708428721458796, 2.36625040420871, 2.3609458933046419, 2.3550425179128966, 2.348662639376863, 2.3419374414204119, 2.335007067901548, 2.3280213281210007, 2.3211410229009588, 2.3145399235683963, 2.308407406520566, 2.3029517027417969, 2.2984036563361911, 2.2950207875606052, 2.2930913093797609, 2.2929375350190506, 2.2949178200782137, 2.2994257950733763, 2.306885168691243, 2.3177378610636996, 2.3324227671017481, 2.3513422569617397, 2.3748139196172242, 2.403006475939744, 2.4358616577972221, 2.4730083550624249, 2.5136810475058997, 2.5566600753398174, 2.6002543031673149, 2.6423445905580749, 2.6804978441730327, 2.7121477571327559, 2.7348241669646702, 2.7464037746587473, 2.7453535750088576, 2.7309423828941957, 2.7033990371792802, 2.6639932244965538, 2.6150084972116283, 2.5595777654875835, 2.5013724365811223, 2.4441801181180693, 2.3914552242471325, 2.3459514889612754, 2.3095243948448907, 2.2831329873682855, 2.267006855955203, 2.2609066913797049, 2.2644056377918256, 2.2771421045951898, 2.2990240406170339, 2.3303862603859749, 2.3721106854319585, 2.4257130870584387, 2.4933770583066885, 2.5778709228940526, 2.6822108395727287, 2.8088491138625393, 2.9581596089385638, 3.1262868091705869, 3.3032686251075107, 3.4733704156831382, 3.6191139363021358, 3.7272772823269849, 3.7921655954806299, 3.813567185964839, 3.7993181952392789, 3.7562124533847738, 3.68390496332503, 3.5837859261605152, 3.4604873903296167, 3.3219640105173136, 3.1778947940577136, 3.0373604838382193, 2.9070908864909426, 2.7908996673612747, 2.6900854250721262, 2.604242629215185, 2.5320482202650076, 2.4718374195695239, 2.4219544345975192, 2.3809331513276808, 2.3475706541263972, 2.3209413657988378, 2.3003818948302799, 2.2854630696158567, 2.2759568241731225, 2.2718004521286281, 2.2730580483698253, 2.2798778719255219, 2.2924444251261362, 2.3109250186747445, 2.3354123042929302, 2.3658664312039841, 2.4020626399885057, 2.4435515636012277, 2.4896395284226958, 2.5393942537012952, 2.5916776195766218, 2.6452024138035384, 2.6986055115382355, 2.7505271608065991, 2.7996857585140291, 2.8449396359707961, 2.8853310515225066, 2.9201115661984827, 2.9487511638960164, 2.9709352693724531, 2.9865541633284902, 2.9956885362378287, 2.9985935703575102, 2.9956824826240509, 2.9875092697829184, 2.974749690492156, 2.9581793747119325, 2.9386483238697561, 2.9170518127636629, 2.8942986138047302, 2.8712782970830824, 2.8488299033374322, 2.8277144065490853, 2.8085930548401774, 2.7920129903278772, 2.7784006670932104, 2.7680627035273599, 2.7611930849151407, 2.7578851738075145, 2.7581468145158801, 2.7619168967692702, 2.7690819982751722, 2.7794920726896426, 2.7929745148122942, 2.8093462663570654, 2.828423894439319, 2.8500317718491583, 2.8740086179391002, 2.9002127339982509, 2.928526302663939, 2.9588591323627265, 2.9911522281334686, 3.0253815701308837, 3.0615624887395945, 3.0997550462128602, 3.140070871947124, 3.1826819503727104, 3.2278319167041873, 3.2758504472142276, 3.3271712664023636, 3.3823539711924808, 3.4421089301884131, 3.507322157000369, 3.5790715396619026, 3.6586133700923353, 3.7472908032057246, 3.8462577206886555, 3.9557943943324898, 4.073783738294642, 4.1926660189291285, 4.2943686072013918, 4.3450316850144564, 4.2983744336266989, 4.1220517769296201, 3.8374368509837709, 3.5190300201887119, 3.2394311141029459, 3.0293219510606324, 2.8846413893464327, 2.7885393269973799, 2.7244345487593407, 2.6799136783268604, 2.6466447995488807, 2.6193270626452758, 2.594717565154995, 2.5709409653822592, 2.547042376691969, 2.5227039930564672, 2.4980588209595265, 2.473554987492196, 2.4498413404927453, 2.4276590638331204, 2.407735636147228, 2.3906864847458391, 2.3769349677946305, 2.366661750531291, 2.3597903562525446, 2.3560085182589092, 2.3548178502293404, 2.3555998926063415, 2.3576859140419448, 2.3604203879539081, 2.3632122349172717, 2.3655720555627973, 2.3671365821742327, 2.3676830795666874], [4.1221724277565865, 4.1112800866458832, 4.0767427880303266, 4.0142473878860612, 3.9203578630332312, 3.7962696118607067, 3.6495027269208435, 3.4920978808676817, 3.3365899978095563, 3.1925491423553454, 3.0653240777847133, 2.9566597564192638, 2.8660518542029427, 2.7920059389259992, 2.7329116106116103, 2.6875636821593698, 2.6554571432690075, 2.6369668456887152, 2.6334747067857771, 2.6474530820387532, 2.6824521727452222, 2.7428671870132946, 2.8332916715130443, 2.957259977684771, 3.1153707783985736, 3.3032727375624815, 3.5106146239625411, 3.7221614650260775, 3.9212063329009199, 4.0936877561598539, 4.2307613084016067, 4.3287754085661296, 4.3873853599505228, 4.4073192519644762, 4.388957590714357, 4.3321839224804419, 4.2373925855372452, 4.1070969904697199, 3.9472366135757531, 3.767276437046235, 3.5787861689248905, 3.3931142906414622, 3.2192897119738699, 3.0629777660175237, 2.9265744612035816, 2.8099943008374284, 2.7116312046267206, 2.6291666184628917, 2.5601172848653189, 2.5021458074940819, 2.4532023438867547, 2.411563853016196, 2.3758194723669797, 2.3448324248761563, 2.3176953925249881, 2.2936877425499258, 2.2722380913647036, 2.2528931214760148, 2.2352923525891772, 2.2191480868615487, 2.2042296350017332, 2.1903509839412161, 2.1773611838835638, 2.1651368620088398, 2.1535763897366564, 2.1425953323471076, 2.1321228928252953, 2.1220991278180557, 2.1124727653212907, 2.1031994939639524, 2.0942406250439451, 2.0855620529345469, 2.0771334588651142, 2.0689277188326036, 2.0609204897278248, 2.0530899597327985, 2.045416760695443, 2.0378840525963544, 2.0304778046867051, 2.0231873160550267, 2.0160060425791495, 2.0089328307698278, 2.0019737068841805, 1.9951444394632745, 1.9884741968792508, 1.9820107770577606, 1.9758281237281443, 1.9700372098421848, 1.9648019415795936, 1.9603626428174565, 1.9570711303239046, 1.9554437317198061, 1.9562423997085667, 1.9606002376533538, 1.9702175902946928, 1.9876698979325578, 2.016889029577678, 2.0638987868105447, 2.1378678707731025, 2.252366124511056, 2.426015413652201, 2.6797764248402633, 3.024666004950987, 3.4344677199782025, 3.8213789524196904, 4.0693093958469939, 4.1247303959631747, 4.0290799117375453, 3.859551782366462, 3.6741992557886816, 3.5019269019157937, 3.3525971313333982, 3.2270474217252954, 3.1227518832691161, 3.0363777385520931, 2.9647695011629245, 2.9052476713801765, 2.8556391399322081, 2.814217244213288, 2.7796220088479067, 2.7507858572498671, 2.726871959553105, 2.7072256203274092, 2.6913369446549904, 2.6788126270330084, 2.6693549304281592, 2.6627463089296604, 2.6588385118255862, 2.6575453408466463, 2.6577465111446545, 2.6583506801340184, 2.6593598265549705, 2.6607772632046935, 2.6626076594630788, 2.6648570731903387, 2.6675329923661275, 2.670644386953223, 2.6742017715919379, 2.6782172798610633, 2.6827047509853239, 2.6876798300204703, 2.6931600827214948, 2.6991651264790408, 2.7057167789220928, 2.7128392260026288, 2.7205592116320383, 2.728906251206503, 2.7379128716539101, 2.7476148809518763, 2.7580516703985802, 2.7692665532671725, 2.7813071438145829, 2.7942257809413715, 2.8080800010699178, 2.8229330649765965, 2.8388545433172148, 2.8559209653074347, 2.8742165343159702, 2.8938339127688875, 2.9148750764240599, 2.9374522342840725, 2.9616888044926362, 2.9877204275247973, 3.0156959844320772, 3.0457785678276017, 3.0781463238205742, 3.1129930401749188, 3.150528293813565, 3.1909768814278214, 3.2345771293242631, 3.2815774979153698, 3.3322306430609583, 3.3867837469306203, 3.4454634585343009, 3.5084531649810828, 3.5758595424140776, 3.6476644511613228, 3.7236573887642805, 3.8033432508363574, 3.885820797211613, 3.9696302896752531, 4.0525763369361165, 4.1315467775919217, 4.2023727832487232, 4.2598082914126669, 4.2977386571969864, 4.3097344932273609, 4.290008804818739, 4.2346838352726106, 4.1430545648193267, 4.018368934313564, 3.8676991821495137, 3.7008162215440716, 3.5284302914203569, 3.3604241425037316, 3.20461619297628, 3.0662632135635284, 2.9481918664898554, 2.8512938975739646, 2.7751296832110115, 2.718474828970987, 2.6797382104164207, 2.6572427962091179, 2.6493906278742694, 2.6547410790544048, 2.6720280477885376, 2.7001343937245283, 2.738034489836588, 2.7847097911486274, 2.8390384807168285, 2.8996591205959792, 2.9648108299026927, 3.032160409284387, 3.0986416785689723, 3.1603542005303984, 3.2125929258544774, 3.2500938324397275, 3.2675605047772347, 3.2604600424933876, 3.2259458188432477, 3.1636331665167075, 3.075918754875044, 2.9676648439019622, 2.8453234471896933, 2.7158024527415234, 2.585437307220094, 2.4593164629273376, 2.3410208904447698, 2.2326924557295897, 2.1352899331424564, 2.0489063815071966, 1.9730664666676139, 1.906966068772288, 1.8496463318270446, 1.8001097576857394, 1.7573913693685435, 1.7205979455304894, 1.6889260549417058, 1.6616668675903454, 1.6382032752753739, 1.6180029603366293, 1.6006096946891382, 1.5856342309004992, 1.5727455479770707, 1.5616628386655147, 1.5521483980073201, 1.5440014418502579, 1.537052813251176, 1.5311605007020417, 1.5262058798233038, 1.5220905901732089, 1.5187339653545426, 1.5160709442320821, 1.5140504018396863, 1.5126338493960341, 1.5117944632534057, 1.5115164123920704, 1.5117944632533955, 1.5126338493960074, 1.5140504018396987, 1.5160709442320748, 1.5187339653545313, 1.5220905901731936, 1.5262058798233009, 1.5311605007020443, 1.5370528132511814, 1.5440014418502679, 1.5521483980073316, 1.5616628386655078, 1.5727455479770371, 1.5856342309004905, 1.6006096946891295, 1.6180029603366315, 1.6382032752753504, 1.6616668675903594, 1.6889260549416705, 1.7205979455304647, 1.7573913693685408, 1.800109757685695, 1.8496463318270622, 1.9069660687723007, 1.9730664666676334, 2.0489063815071842, 2.1352899331424928, 2.2326924557296466, 2.3410208904446921, 2.4593164629272422, 2.5854373072201358, 2.7158024527415123, 2.8453234471895903, 2.9676648439019226, 3.0759187548749916, 3.1636331665167461, 3.2259458188432375, 3.260460042493365, 3.2675605047772138, 3.2500938324397195, 3.2125929258544925, 3.1603542005303513, 3.0986416785689967, 3.0321604092843981, 2.9648108299026381, 2.8996591205959668, 2.8390384807168405, 2.7847097911486709, 2.7380344898365876, 2.7001343937246025, 2.6720280477885821, 2.6547410790544328, 2.6493906278742738, 2.6572427962090917, 2.6797382104164198, 2.7184748289709959, 2.7751296832111794, 2.8512938975741045, 2.9481918664899487, 3.0662632135636292, 3.2046161929764736, 3.3604241425038475, 3.5284302914203671, 3.7008162215441729, 3.8676991821495039, 4.0183689343135596, 4.1430545648192734, 4.2346838352726417, 4.2900088048187648, 4.3097344932273245, 4.2977386571969394, 4.2598082914126199, 4.2023727832487427, 4.1315467775919732, 4.0525763369361538, 3.9696302896751718, 3.88582079721151, 3.8033432508363436, 3.7236573887641868, 3.6476644511613032, 3.5758595424141175, 3.50845316498097, 3.4454634585341508, 3.3867837469305244, 3.3322306430609574, 3.2815774979154027, 3.2345771293242662, 3.1909768814277717, 3.1505282938134567, 3.1129930401748878, 3.0781463238205586, 3.0457785678275395, 3.015695984432019, 2.9877204275247249, 2.9616888044926717, 2.937452234284069, 2.914875076423959, 2.893833912768863, 2.8742165343158943, 2.8559209653073885, 2.8388545433172139, 2.8229330649765956, 2.8080800010698876, 2.7942257809413542, 2.7813071438145447, 2.7692665532671628, 2.7580516703986393, 2.7476148809518617, 2.7379128716539674, 2.7289062512065372, 2.7205592116320747, 2.7128392260026017, 2.7057167789221306, 2.6991651264791257, 2.6931600827214801, 2.687679830020508, 2.6827047509853146, 2.6782172798610775, 2.6742017715919388, 2.6706443869532261, 2.6675329923661018, 2.6648570731903636, 2.6626076594630459, 2.6607772632046909, 2.659359826554994, 2.6583506801340477, 2.6577465111446554, 2.6575453408465739, 2.6576459083086981, 2.6579477272436645, 2.658451147601141, 2.659156753642538, 2.6600653654640998, 2.6611780411377923, 2.662496079478752, 2.6640210234516317, 2.6657546642297323, 2.6676990459231602, 2.6698564709971566, 2.6722295064019508, 2.6748209904409737, 2.6776340404049401, 2.6806720610051511, 2.6839387536404629, 2.687438126537093, 2.6911745058038941, 2.695152547449327, 2.6993772504092162, 2.7038539706420828, 2.7085884363477106, 2.7135867643725464, 2.7188554778704841, 2.7244015252881173, 2.7302323007522222, 2.7363556659388606, 2.7427799735100304, 2.7495140922048589, 2.756567433678784, 2.7639499811866526, 2.7716723202066049, 2.7797456711046302, 2.7881819239386139, 2.7969936755001044, 2.8061942686852102, 2.8157978342824252, 2.8258193352498155, 2.8362746135420389, 2.847180439522258, 2.8585545639636925, 2.8704157726096975, 2.8827839432014177, 2.8956801048223233, 2.9091264993148496, 2.9231466444197474, 2.9377653981429348, 2.9530090236819415, 2.9689052540192851, 2.9854833550133275, 3.0027741854697911, 3.0208102522432414, 3.0396257578830022, 3.0592566376701935, 3.0797405820687054, 3.1011170395953576, 3.123427193861716, 3.1467139069936687, 3.1710216197503902, 3.196396196345022, 3.2228846991542714, 3.2505350750812574, 3.2793957311975626, 3.3095149723290338, 3.3409402673192643, 3.3737173037135681, 3.4078887824263777, 3.4434928945627234, 3.4805614119689867, 3.5191173114994552, 3.5591718408040141, 3.6007209214777762, 3.6437407749862913, 3.6881826500101829, 3.7339665299340328, 3.7809737107684604, 3.8290381693140425, 3.8779366975029652, 3.927377872610065, 3.9769900775068976, 4.0263089944845056, 4.074765283039425, 4.1216735230694379, 4.16622395349449, 4.2074790320836959, 4.2443773187863822, 4.2757475276962289, 4.3003356345870349, 4.3168474588875405, 4.324007950003975, 4.3206363601394786, 4.3057336206304386, 4.2785748853613939, 4.2387970329912354, 4.1864688680434679, 4.1221317940480819, 4.0468014628928675, 3.9619262229526635, 3.8693051012910544, 3.7709748941930323, 3.6690809135436759, 3.5657477900420438, 3.4629652016504515, 3.3624992213179468, 3.2658345364170271, 3.1741475311478538, 3.0883062016035803, 3.0088905576927476, 2.9362264840619465, 2.8704265754159106, 2.8114327130659218, 2.7590566486842674, 2.7130162844639312, 2.6729665093371446, 2.6385243090873507, 2.6092884298732919, 2.5848541933216596, 2.5648242011644489, 2.548815688000384, 2.5364652301253496, 2.5274314315016286, 2.5213961081912513, 2.51806439425205, 2.5171641029038714, 2.518444600109508, 2.5216753842910413, 2.5266445149177543, 2.5331569926633462, 2.560225642484808, 2.5954727475721096, 2.6355385977891248, 2.6776585642182322, 2.7195221725199374, 2.7591945062996071, 2.7950783419798726, 2.8258984283034283, 2.8506945001319934, 2.8688152202888411, 2.8799097579461126, 2.8839161106488702, 2.88104546704256, 2.8717607982758659, 2.8567469069700202, 2.8368695741060401, 2.8131235682003273, 2.7865724184816765, 2.7582856809780649, 2.7292807351590831, 2.7004754575673009, 2.6726558203669732, 2.6464595001022149, 2.6223739318479753, 2.6007455253973153, 2.5817961212883982, 2.565642998827899, 2.5523194977379036, 2.5417942391138713, 2.5339877933876123, 2.5287863234199559, 2.5260522003818204, 2.5256318721442201, 2.5273614033922356, 2.5310701501792234, 2.5365830177100217, 2.5437217065695958, 2.5523052971588633, 2.5621504647658457, 2.5730715631387997, 2.5848807640225462, 2.5973883936014701, 2.6104035633134148, 2.6237351514215135, 2.6371931529426544, 2.6505903796491728, 2.6637444600695477, 2.6764800632436199, 2.688631250925507, 2.700043852063791, 2.7105777511106122, 2.7201089875761246, 2.7285315770297451, 2.7357589816535484, 2.7417251794593942, 2.7463853034638572, 2.7497158439323313, 2.7517144272257203, 2.7523992032651821, 2.7518078899872074, 2.7499965373583199, 2.7470380855238656, 2.743020801283246, 2.7380466840090314, 2.7322299359263824, 2.7256955919160628, 2.7185784003441613, 2.7110220385746899, 2.7031787345183602, 2.6952093483848709, 2.6872839458802344, 2.6795828638390802, 2.6722982290373833, 2.6656358366734336, 2.6598172211730629, 2.6550816516438736, 2.65168764987272, 2.6499134537326618, 2.6500556312181391, 2.6524247983718521, 2.6573371356301978, 2.6651001901556537, 2.6759913986684696, 2.6902280190908328, 2.7079279141317887, 2.7290620780866872, 2.7534020380202842, 2.7804681574764261, 2.8094879132382631, 2.8393754658938741, 2.868744116402397, 2.8959605668044186, 2.919244161940556, 2.936806596286456, 2.9470199944737003, 2.9485957977980521, 2.9407542058968095, 2.9233630896116378, 2.8970248599227824, 2.863089876259163, 2.8235786189229826, 2.781006593907561, 2.7381276305372584, 2.6976375959991192, 2.6618993778833953, 2.6327491840624573, 2.6114212357344551, 2.5985930367390244, 2.5945229572807973, 2.5992375544527371, 2.6127290497872959, 2.6351366338072326, 2.6668995310314214, 2.7088779516982813, 2.7624357898245671, 2.8294626430838368, 2.9122782896877113, 3.0133087108424266, 3.1343659088369309, 3.2753757127714804, 3.4326426396509171, 3.5973878370511878, 3.7560842194485553, 3.8938578259166685, 3.9998534937709187, 4.0708009408870458, 4.1098986037063208, 4.1221724277565865, 4.1140364499953179, 4.0885765576920443, 4.0431923539988768, 3.9752469069689003, 3.8839988068031799, 3.7720404745275742, 3.6453840978789462, 3.5120759861523507, 3.3801383535958633, 3.2559103204239008, 3.1433539923452725, 3.0442182477443893, 2.9586348141235765, 2.8857716297978695, 2.8243524055867399, 2.772999381415699, 2.7304279218019918, 2.695539406912709, 2.6674524869878971, 2.6455002946314825, 2.6292101817374625, 2.6182748236775244, 2.6125188035891358, 2.6118622549875523, 2.6162821006240318, 2.6257713826346687, 2.6402977796111831, 2.6597633479024054, 2.6839684910125738, 2.7125838095632431, 2.7451334948168116, 2.7809931013061999, 2.8194028918369067, 2.8594957844076481, 2.9003367524315893, 2.9409688976653694, 2.9804607424588831, 3.0179496908944299, 3.0526778819755087, 3.0840183780959642, 3.1114913261480419, 3.1347710314385666, 3.1536856200670913, 3.1682111454093, 3.178461760502679, 3.184677126430985, 3.1872077444428633, 3.1864985258925618, 3.183070725504483, 3.1775023740174801, 3.1704075186369987, 3.1624148416986193, 3.1541464921117623, 3.1461981487584332, 3.139121382200821, 3.1334092688966244, 3.1294859571808726, 3.1277005343097697, 3.1283251633052727, 3.1315571112466984, 3.1375240263678332, 3.1462916663603946, 3.1578732373684102, 3.1722395560396488, 3.1893293682926536, 3.2090593176923941, 3.2313332262086534, 3.2560505101530008, 3.2831136916845272, 3.3124350760484598, 3.3439427467686507, 3.3775860888541214, 3.4133410887195281, 3.451215683677618, 3.4912554463983025, 3.5335498895575164, 3.5782396548430899, 3.6255247873952756, 3.6756741461852718, 3.7290356708851964, 3.786046534690013, 3.847240804070085, 3.9132494064251873, 3.9847816355297643, 4.0625665712046111, 4.1472120868789055, 4.2389011657082616, 4.336781249463213, 4.437814560840887, 4.5348092972073824, 4.6136096371034112, 4.6506683773471273, 4.6151630774456995, 4.4820601707234822, 4.2545467093902927, 3.9741196018854286, 3.6987270853300243, 3.4694899616944292, 3.2989810794158907, 3.1806320613670329, 3.1013187260717436, 3.04846616572233, 3.0123366989672933, 2.9860648105982754, 2.9650330848903819, 2.9462285888470401, 2.9277519478854659, 2.9084834872530143, 2.8878676062307442, 2.8657743351747098, 2.842404736670098, 2.8182153730894521, 2.7938450713883749, 2.7700351959013694, 2.7475427684302729, 2.7270531179723227, 2.7091035056937858, 2.6940297277656908, 2.6819437847921566, 2.6727439086134797, 2.6661513163920034, 2.6617635369601711, 2.6591131381316626, 2.657722674723618, 2.657150218299082, 2.6570234094197667, 2.6570626125390508, 2.6570951236088085], [4.3841474315603115, 4.3801037612108136, 4.3659565377577714, 4.3363017178934458, 4.2843327049497679, 4.2049514285151561, 4.0978674501049586, 3.9688274632723979, 3.8279589012038855, 3.6863050144866047, 3.5527714605781737, 3.4328357436631749, 3.328850875552793, 3.241075683592411, 3.1687302661828389, 3.1107833665389912, 3.0664519416534031, 3.0354920524768918, 3.0183607736902678, 3.0162936504202262, 3.0312987143028405, 3.0660242171741467, 3.123419779207675, 3.2060994926629931, 3.3153706379015984, 3.4500557414640216, 3.6054912213781369, 3.7732737150540809, 3.9421801222250918, 4.1001126789096469, 4.2362700152042603, 4.3426010081197655, 4.414119437593933, 4.4483743103514302, 4.4447319858385175, 4.4040048412947499, 4.3285747355277504, 4.2227671770981328, 4.0930188423578411, 3.9474602382655259, 3.7948811830606073, 3.643433518404497, 3.4995702231425634, 3.3675449378023825, 3.2494837854432848, 3.145823460266592, 3.0558682837827122, 2.9782934405344554, 2.9115195410810375, 2.8539530032911524, 2.8041190911249809, 2.7607214070641506, 2.7226566384054336, 2.6890051172977136, 2.6590102944059981, 2.6320547383834825, 2.6076366796596453, 2.5853489497756552, 2.564860951245, 2.545903662912862, 2.528257395789828, 2.5117419104310255, 2.4962084980946648, 2.4815336627661044, 2.4676140920521683, 2.4543626579840407, 2.4417052375284101, 2.4295781847312954, 2.4179263215771041, 2.4067013434289923, 2.3958605582843302, 2.3853658980703609, 2.3751831558087337, 2.3652814156146711, 2.3556326540067918, 2.3462115016978502, 2.3369951657563277, 2.3279635236989096, 2.3190994148477677, 2.3103891716560359, 2.3018234567466771, 2.2933985031025421, 2.2851178995713046, 2.2769951281888905, 2.2690571537776232, 2.2613495052404127, 2.2539434958690818, 2.2469465442944472, 2.2405170375080008, 2.2348859160603682, 2.2303883063383223, 2.2275103051697243, 2.2269587849648023, 2.2297663236964955, 2.2374496560743258, 2.2522487145222647, 2.277483126286195, 2.3180669624954198, 2.3811961474793093, 2.4770954737298054, 2.6193128038764111, 2.8230858504406813, 3.0987734605267572, 3.4373852113007151, 3.7936178889586949, 4.0897824937683751, 4.2583853231454976, 4.286688405961268, 4.2119414143497833, 4.0841428852434412, 3.9407186157917309, 3.8023303422692023, 3.6778220545666231, 3.5696025495357766, 3.4771252717464032, 3.3987283938716204, 3.332498369605656, 3.2766320356910441, 3.2295621015529798, 3.1899788257559916, 3.1568106412270072, 3.1291920145942904, 3.1064305417411529, 3.0879778362730703, 3.0734054973559228, 3.062386105982565, 3.0546787359677019, 3.0501183854704563, 3.048608811622584, 3.0488440038029982, 3.0495503225311076, 3.0507299989662604, 3.0523867670775791, 3.054525886851605, 3.0571541770858035, 3.0602800580751994, 3.0639136045887732, 3.068066609626678, 3.0727526595437085, 3.0779872212250967, 3.0837877420969164, 3.0901737638598252, 3.0971670509270437, 3.1047917346527947, 3.1130744745156749, 3.1220446375018724, 3.13173449697807, 3.142179452357857, 3.1534182708239831, 3.165493352244007, 3.1784510181841452, 3.1923418255210638, 3.2072209045264661, 3.2231483203507714, 3.2401894554384691, 3.2584154084078847, 3.2779034020788327, 3.2987371893279489, 3.3210074398601339, 3.344812083225944, 3.3702565727028273, 3.3974540199301972, 3.4265251300242512, 3.457597839408022, 3.4908065212879382, 3.5262905733638759, 3.5641921349148484, 3.6046525908593332, 3.647807403036154, 3.6937786578023872, 3.7426645292806069, 3.7945246282518603, 3.8493599460864685, 3.9070858382660925, 3.9674962847599717, 4.030217636144382, 4.0946504210663299, 4.159898904949368, 4.2246904717979854, 4.2872912144020692, 4.3454310019585956, 4.396260905243393, 4.4363769858932169, 4.4619532468897862, 4.4690254944341321, 4.4539467334321374, 4.4139856991419002, 4.3479679221503664, 4.2567901369282675, 4.1436190945748539, 4.0136517525113868, 3.8734563049122612, 3.7300663398977205, 3.5900798252954615, 3.4589819330099529, 3.3407980901192356, 3.2380612101203239, 3.1519995170497506, 3.0828320780555547, 3.0300802098155653, 2.9928385323739231, 2.9699814837990277, 2.9603023664770047, 2.962592657065199, 2.975672546401869, 2.9983828596630615, 3.029546176882056, 3.0679027813861346, 3.1120260983467682, 3.160223401485327, 3.2104315276763904, 3.260124647707022, 3.3062613916935102, 3.3453093495497419, 3.3733903380314514, 3.386580566162964, 3.3813665343446773, 3.3551989096994101, 3.3070196604291575, 3.2375989031680774, 3.1495449946207326, 3.0469508454619794, 2.9347684318638181, 2.8180930681861907, 2.7015445324155958, 2.5888638009973977, 2.4827508441223189, 2.3848977248122964, 2.2961413031031301, 2.2166641330527277, 2.1461932271503947, 2.0841695202423351, 2.0298785822885606, 1.9825437863727742, 1.9413880773215286, 1.9056717908285541, 1.8747133991375489, 1.8478987577236878, 1.8246830259518689, 1.8045882133277642, 1.7871983460698559, 1.7721535470851586, 1.7591438314829664, 1.7479030887134983, 1.7382035063703489, 1.7298505542822256, 1.7226785646344023, 1.716546896052801, 1.7113366442100844, 1.7069478501132882, 1.7032971542690321, 1.700315846839618, 1.6979482684731615, 1.6961505223512359, 1.6948894643538668, 1.6941419446571704, 1.6938942803444745, 1.6941419446571606, 1.6948894643538372, 1.6961505223512507, 1.6979482684731528, 1.7003158468396065, 1.7032971542690125, 1.7069478501132858, 1.7113366442100855, 1.7165468960528081, 1.7226785646344127, 1.7298505542822371, 1.7382035063703378, 1.7479030887134623, 1.7591438314829579, 1.772153547085153, 1.7871983460698595, 1.8045882133277393, 1.8246830259518763, 1.8478987577236639, 1.8747133991375295, 1.9056717908285483, 1.9413880773214911, 1.9825437863727875, 2.0298785822885725, 2.0841695202423547, 2.1461932271503814, 2.2166641330527601, 2.2961413031031794, 2.3848977248122254, 2.4827508441222466, 2.5888638009974336, 2.7015445324155896, 2.8180930681860987, 2.9347684318637861, 3.0469508454619278, 3.1495449946207925, 3.2375989031680841, 3.3070196604291238, 3.3551989096993995, 3.3813665343446613, 3.3865805661629378, 3.3733903380314074, 3.3453093495497468, 3.306261391693508, 3.2601246477069643, 3.21043152767637, 3.1602234014853305, 3.112026098346802, 3.0679027813861284, 3.0295461768821261, 2.9983828596630993, 2.9756725464018849, 2.9625926570651906, 2.9603023664769927, 2.9699814837990317, 2.9928385323739204, 3.03008020981571, 3.0828320780556697, 3.1519995170498132, 3.2380612101203963, 3.3407980901193879, 3.4589819330100555, 3.5900798252954749, 3.7300663398978262, 3.8734563049122657, 4.0136517525114002, 4.1436190945748157, 4.2567901369283483, 4.3479679221504766, 4.4139856991418309, 4.4539467334321339, 4.469025494434085, 4.4619532468897791, 4.4363769858932303, 4.3962609052434125, 4.3454310019585378, 4.2872912144019919, 4.2246904717979596, 4.1598989049492694, 4.0946504210663024, 4.030217636144422, 3.9674962847598585, 3.9070858382659406, 3.8493599460863654, 3.7945246282518537, 3.7426645292806415, 3.6937786578023859, 3.6478074030360998, 3.604652590859212, 3.5641921349148045, 3.526290573363859, 3.4908065212878685, 3.4575978394079572, 3.4265251300241726, 3.3974540199302394, 3.3702565727028206, 3.344812083225829, 3.3210074398601011, 3.2987371893278619, 3.2779034020787758, 3.2584154084078847, 3.2401894554384656, 3.2231483203507318, 3.2072209045264453, 3.192341825521019, 3.1784510181841323, 3.1654933522440767, 3.15341827082396, 3.1421794523579241, 3.1317344969781047, 3.1220446375019177, 3.1130744745156451, 3.1047917346528395, 3.0971670509271414, 3.0901737638598106, 3.0837877420969626, 3.0779872212250901, 3.0727526595437298, 3.0680666096266793, 3.0639136045887763, 3.0602800580751701, 3.0571541770858324, 3.0545258868515655, 3.0523867670775746, 3.0507299989662848, 3.0495503225311431, 3.0488440038029965, 3.0486088116224961, 3.0487263876480779, 3.0490792457758875, 3.0496677764591307, 3.0504926314514078, 3.0515547253080477, 3.0528552374937119, 3.0543956151023663, 3.0561775761983077, 3.0582031137875312, 3.0604745004299798, 3.0629942935071712, 3.0657653411583698, 3.0687907889028403, 3.0720740869643608, 3.0756189983188111, 3.0794296074840535, 3.0835103300741484, 3.0878659231405119, 3.0925014963233077, 3.0974225238353839, 3.1026348573054938, 3.1081447395006632, 3.1139588189512164, 3.1200841655003977, 3.1265282867937958, 3.1332991457247639, 3.1404051788440208, 3.1478553157375901, 3.1556589993655115, 3.1638262073461516, 3.1723674741567525, 3.1812939142024765, 3.1906172456870858, 3.2003498151916778, 3.210504622837854, 3.2210953478699578, 3.2321363744485407, 3.243642817385052, 3.2556305474834755, 3.2681162160673387, 3.2811172781692397, 3.29465201374295, 3.3087395461029123, 3.3233998566284324, 3.3386537945498396, 3.3545230803866484, 3.3710303012968756, 3.3881988962372889, 3.4060531283966107, 3.4246180418464696, 3.4439193987379544, 3.4639835926368892, 3.4848375327258627, 3.5065084925737078, 3.5290239159668415, 3.5524111708824635, 3.5766972410354598, 3.601908342513501, 3.6280694508223332, 3.6552037211486677, 3.683331781829239, 3.7124708778839981, 3.7426338380692901, 3.773827835325557, 3.8060529068556166, 3.8393001966370779, 3.8735498802756245, 3.9087687303046175, 3.9449072800593892, 3.9818965471750851, 4.0196442849597362, 4.0580307432382208, 4.096903942054559, 4.136074494675154, 4.175310063869091, 4.2143296008460425, 4.2527976026224339, 4.2903187329961101, 4.3264332844795135, 4.3606141091589947, 4.392265804994568, 4.420727091321738, 4.4452774132596318, 4.4651488377299726, 4.4795441925611748, 4.4876621002945773, 4.4887290247883138, 4.4820376646186117, 4.4669900261277427, 4.4431423944907165, 4.4102483743814727, 4.3682954344596823, 4.3175302172262056, 4.258468462953946, 4.1918867975206755, 4.1187957058250131, 4.0403954144462046, 3.9580186721546724, 3.8730660770017193, 3.7869403226143525, 3.7009854237082371, 3.6164357786075754, 3.5343781650065824, 3.4557278456719396, 3.3812182420460921, 3.3114023546034157, 3.246663363279128, 3.1872315985003929, 3.133205222816648, 3.084572363538669, 3.0412329543022789, 3.0030190735774496, 2.9697130428753198, 2.9410629321816071, 2.9167954057589052, 2.8966260348743909, 2.8802673205957694, 2.867434727529953, 2.8578510454233941, 2.8512493843850195, 2.8473750824166402, 2.8459867690950738, 2.8468567921793864, 2.8497711780579715, 2.8545292642507563, 2.8609431135448014, 2.8688367949778417, 2.8780455966301064, 2.9120670738375138, 2.9529080833620762, 2.9975011790793746, 3.0432770944130434, 3.0880887199954139, 3.1301660849614961, 3.1680871492818836, 3.2007525552368064, 3.2273584622922256, 3.247367572959913, 3.2604822870527608, 3.2666244625297036, 3.2659237378784765, 3.2587122054037541, 3.2455194322814505, 3.2270602079292132, 3.2042088090736001, 3.1779575643310887, 3.1493625058820522, 3.1194829763674266, 3.0893237964573346, 3.059787673019565, 3.0316426812530608, 3.0055061563195289, 2.9818433370853228, 2.9609772598546953, 2.9431057843673329, 2.9283219550385176, 2.9166347369592081, 2.907988149530675, 2.9022777106650417, 2.8993637900892528, 2.8990819326329915, 2.9012504828585035, 2.9056759703374855, 2.9121567483756925, 2.9204853564092987, 2.9304500244449265, 2.9418356735242228, 2.954424698558924, 2.9679977535065993, 2.9823346956552612, 2.9972157865980851, 3.0124231931411507, 3.0277427830933199, 3.0429661703306525, 3.0578929325433855, 3.0723329052182669, 3.0861084474330558, 3.0990565785236495, 3.1110308978894237, 3.1219032202619825, 3.131564882144442, 3.1399276982517521, 3.1469245667111068, 3.1525097366863402, 3.156658761501606, 3.1593681650552559, 3.1606548510183319, 3.160555285056994, 3.1591244819499167, 3.1564348332163474, 3.1525748170237007, 3.1476476401343207, 3.1417698701389383, 3.13507012344673, 3.1276878785876772, 3.1197724835974423, 3.1114824191477166, 3.102984864472929, 3.0944555899418633, 3.0860791671163348, 3.0780494427126097, 3.0705701648709951, 3.0638555758511132, 3.0581306919526634, 3.0536308773141929, 3.0506001843849435, 3.04928778741442, 3.0499416938434498, 3.0527988155638242, 3.0580704726084726, 3.0659225649231856, 3.0764500814199107, 3.0896464170898037, 3.1053691960125307, 3.1233059076129499, 3.1429444453435269, 3.1635551754749587, 3.1841918783397598, 3.2037182079820781, 3.2208638718198133, 3.234310696952674, 3.2428038326496056, 3.2452785530287782, 3.2409893292195799, 3.2296253884016553, 3.2113958188468761, 3.1870675726449686, 3.1579424585380549, 3.1257661073137184, 3.0925739643086501, 3.0604949900603495, 3.0315477910130677, 3.0074696162276475, 2.9896118797448965, 2.9789184037961025, 2.9759816685020231, 2.9811563337410583, 2.9947028484027185, 3.0169363402104072, 3.0483626049042871, 3.0897882141592921, 3.1423904964730096, 3.2077212367895345, 3.2875922563537294, 3.3837529373035569, 3.4972372689658582, 3.6272904580248628, 3.7700008836763415, 3.9172607559401702, 4.057233415761667, 4.177270251495889, 4.2684554683602647, 4.3289026025818984, 4.3633522093943959, 4.3795757672571201, 4.3841474315603115, 4.3811482856082229, 4.3710165561714902, 4.3506322113125524, 4.3157544505587353, 4.2624219088161359, 4.1885763691568041, 4.0952736889616768, 3.9868311549678963, 3.8697695837935879, 3.7511063654735324, 3.6368367506964123, 3.5311321571578422, 3.4362716327818212, 3.3530175275269469, 3.2811256767652845, 3.2197997300389138, 3.168020501230945, 3.1247526394014482, 3.0890576873019739, 3.0601447790917451, 3.0373833070785259, 3.0202937724483845, 3.0085265997343789, 3.0018344221782218, 3.0000408799391844, 3.0030078013059547, 3.0106023033004581, 3.0226654839139133, 3.0389846787743888, 3.0592714625680157, 3.0831474888243693, 3.1101397665510384, 3.1396860742420101, 3.1711500465506015, 3.2038442721398077, 3.2370587796558343, 3.2700917746498144, 3.3022795135875476, 3.3330227077348713, 3.3618076716515088, 3.3882213511195203, 3.4119601867206484, 3.4328333637866564, 3.4507613234750876, 3.4657704918149661, 3.4779850963553276, 3.4876167701141805, 3.4949524665518417, 3.5003410804148949, 3.5041791122781598, 3.5068957280297446, 3.5089376271712229, 3.5107542131955496, 3.5127836210403389, 3.5154401725357958, 3.5191037850336215, 3.5241117501152646, 3.5307531415097952, 3.5392659270493461, 3.5498366755266644, 3.562602590450112, 3.5776554869214552, 3.5950472640307747, 3.6147964129976735, 3.6368951332707855, 3.6613166930304284, 3.6880227536675965, 3.7169704673545172, 3.7481192426152865, 3.7814371474030724, 3.8169069775073048, 3.8545320562720531, 3.8943418453100982, 3.9363974278591161, 3.9807968628006494, 4.0276802717658358, 4.0772342653954112, 4.1296948492924459, 4.1853471174948416, 4.2445185621980537, 4.3075602166738367, 4.3748052783054154, 4.4464869975043326, 4.5225845355815499, 4.6025451190285978, 4.6848034479504568, 4.7659962451985978, 4.8397964907265365, 4.8954929726336909, 4.917049259053786, 4.8845198246901482, 4.7804753872962849, 4.6014988557469652, 4.3671806911365731, 4.1152388349367506, 3.8835452884710668, 3.6947550327685792, 3.5540140517499448, 3.4554522923281237, 3.389277603011386, 3.3459492278674499, 3.3177394740161819, 3.2989125299665769, 3.2853971994598172, 3.2743734148585544, 3.2639224282472359, 3.2527715490014586, 3.2401225004127516, 3.2255422432051999, 3.2088953540350746, 3.1902997250714131, 3.1700902935579354, 3.1487788650500028, 3.1270025801072134, 3.1054594361935104, 3.0848356899345672, 3.0657351026279787, 3.0486218766082356, 3.0337868606600344, 3.0213410884925098, 3.0112342842888857, 3.0032910934703834, 2.9972558527123589, 2.9928375882124558, 2.9897494997306699, 2.9877401203624165, 2.9866156917125797, 2.9862546678125312], [4.6173554445315697, 4.6179453854319386, 4.6181366029952002, 4.6133884859428091, 4.5969465144591686, 4.5614576133833484, 4.5014302002578859, 4.415689596727999, 4.3083893859242126, 4.1877574352768017, 4.0633233010258474, 3.9433048752615445, 3.8332953687472049, 3.7362648326996233, 3.6532694205987313, 3.5842953209178416, 3.5289467302090629, 3.4869123558314215, 3.4582449758429283, 3.4435045189689757, 3.4437945353434856, 3.460691867770104, 3.4960430133944418, 3.5515890538219077, 3.628399472810985, 3.7261599274104791, 3.8424688492287182, 3.972406362572837, 4.1086511104934313, 4.2422554314552272, 4.363891217414217, 4.4651427346240773, 4.5394380918144828, 4.5824643880017142, 4.5921942065498795, 4.5687640770994458, 4.5143564038710826, 4.4330595039818084, 4.330565207244466, 4.2135956842916826, 4.0891028521026556, 3.9634352422167014, 3.8417038828663688, 3.7274847626048855, 3.6228515771908234, 3.5286308696589908, 3.4447471448700178, 3.3705565694960686, 3.3051159979681781, 3.24737332835929, 3.1962876304983969, 3.1508959146400137, 3.1103436114887852, 3.0738925652660054, 3.0409163845059974, 3.0108895825530171, 2.9833744103488713, 2.9580075747512691, 2.9344879558540731, 2.9125657934808373, 2.8920334526238376, 2.8727176913258665, 2.8544732705413369, 2.8371777187358869, 2.8207270671417288, 2.8050323888503303, 2.7900169974663935, 2.7756141842204598, 2.7617653940224165, 2.748418760058212, 2.7355279330467939, 2.723051155418895, 2.7109505428592793, 2.6991915463747325, 2.6877425778489532, 2.6765747915137452, 2.6656620235778319, 2.654980903193898, 2.6445111610310157, 2.6342361782863528, 2.6241438408780313, 2.6142277934544036, 2.6044892295716013, 2.5949394135933268, 2.5856032149775929, 2.57652405930234, 2.5677708817814362, 2.5594479371728545, 2.551708718948658, 2.5447758369084243, 2.5389695951181412, 2.5347493441514835, 2.5327736466859556, 2.5339881184307029, 2.5397536365998636, 2.552032159389015, 2.573650913079804, 2.608662237555599, 2.6627893979562889, 2.743858079101535, 2.8618781025208584, 3.027952360689576, 3.2505113252647129, 3.5274076821817824, 3.8356744229167568, 4.1285014197929435, 4.3514512537050107, 4.4714973075087139, 4.4916826015824727, 4.4396834074211577, 4.347589403740848, 4.2400172855175366, 4.1319716960308481, 4.0311109756032799, 3.9405770843571606, 3.8610801286902623, 3.7921631669443845, 3.7328936562123229, 3.682214378526306, 3.6391083013341619, 3.6026671099609375, 3.5721122388911133, 3.5467939532988479, 3.5261814592519469, 3.5098504285867587, 3.4974709429142239, 3.4887971674334444, 3.4836592473042813, 3.4819575512775409, 3.4822238621218147, 3.4830235788155548, 3.4843590579145212, 3.4862342406065059, 3.488654673176673, 3.4916275357996533, 3.4951616797964618, 3.4992676735239026, 3.5039578570907928, 3.5092464061095932, 3.5151494046986316, 3.5216849279325211, 3.5288731339091313, 3.5367363655269992, 3.5452992619716839, 3.5545888797399292, 3.5646348228095874, 3.5754693812362839, 3.587127677015677, 3.5996478154468354, 3.61307103941542, 3.6274418829307389, 3.6428083187959044, 3.659221893374546, 3.6767378388836005, 3.6954151503050614, 3.7153166096399937, 3.7365087345016099, 3.7590616205758898, 3.7830486377582884, 3.8085459271721258, 3.8356316300015192, 3.8643847581712931, 3.894883590247022, 3.9272034422327233, 3.9614136208687718, 3.997573315358288, 4.0357261214781541, 4.0758928202042863, 4.1180619541288532, 4.1621776660745526, 4.2081241996712677, 4.2557064370452, 4.3046259076463231, 4.354451913228127, 4.4045878785135306, 4.4542338930727654, 4.5023478235975496, 4.5476095060501871, 4.5883954412970596, 4.6227749335528507, 4.6485420606064807, 4.6632998366376359, 4.6646111642440369, 4.6502229562073758, 4.6183532279824764, 4.5680070840028488, 4.4992625488660529, 4.4134525038135157, 4.3131768544759854, 4.2021145647880402, 4.0846594130220311, 3.9654547004007434, 3.8489278847998944, 3.7389161454544091, 3.6384363077718636, 3.5496067931785307, 3.4736935457246658, 3.4112347986693918, 3.3621995383179981, 3.3261446955820864, 3.3023492901434448, 3.2899152873830939, 3.2878329345714863, 3.2950128834946519, 3.3102894477193199, 3.3324000517457577, 3.35994634807895, 3.3913434284871316, 3.4247656146469478, 3.4581007273252085, 3.4889291858666494, 3.5145485249477444, 3.5320653845159451, 3.5385720014957101, 3.531409035953049, 3.5084903611343901, 3.4686337041224569, 3.411816849782785, 3.3392788608550719, 3.2534185744060458, 3.1575005422412605, 3.055237057191182, 2.9503468532002404, 2.846184223845952, 2.7454955687989173, 2.650315010520107, 2.5619757878233886, 2.48119776893772, 2.408211394927803, 2.3428875954655299, 2.2848549428999214, 2.2335953881916635, 2.1885168388210379, 2.1490047225458122, 2.1144563301648813, 2.084302008734825, 2.0580168560599801, 2.0351258822829053, 2.0152048960645539, 1.9978787525487596, 1.9828181040298456, 1.9697354197152672, 1.958380770016878, 1.9485376812626427, 1.9400192379801409, 1.9326645249599115, 1.9263354470300429, 1.9209139311709698, 1.9162994963374629, 1.9124071662867983, 1.9091656965259312, 1.9065160859579409, 1.9044103454644119, 1.9028104985567065, 1.9016877927753546, 1.9010221043548947, 1.9008015226018447, 1.9010221043548847, 1.9016877927753242, 1.9028104985567242, 1.9044103454644024, 1.9065160859579282, 1.9091656965259092, 1.9124071662867959, 1.9162994963374667, 1.9209139311709793, 1.9263354470300555, 1.932664524959921, 1.9400192379801251, 1.9485376812626056, 1.9583807700168685, 1.9697354197152646, 1.9828181040298516, 1.9978787525487309, 2.0152048960645552, 2.0351258822828919, 2.0580168560599619, 2.0843020087348161, 2.1144563301648467, 2.1490047225458229, 2.1885168388210481, 2.2335953881916848, 2.2848549428999045, 2.3428875954655597, 2.4082113949278434, 2.4811977689376539, 2.561975787823338, 2.6503150105201398, 2.7454955687989155, 2.8461842238458712, 2.9503468532002151, 3.0552370571911336, 3.1575005422413249, 3.2534185744060613, 3.3392788608550381, 3.4118168497827837, 3.4686337041224391, 3.508490361134335, 3.5314090359530086, 3.5385720014957007, 3.5320653845159322, 3.5145485249476858, 3.4889291858666232, 3.4581007273252036, 3.4247656146469656, 3.3913434284871173, 3.3599463480790024, 3.3324000517457901, 3.3102894477193279, 3.2950128834946359, 3.2878329345714801, 3.2899152873830939, 3.3023492901434306, 3.3261446955822125, 3.3621995383180923, 3.4112347986694371, 3.4736935457247204, 3.5496067931786492, 3.6384363077719515, 3.7389161454544242, 3.8489278847999966, 3.9654547004007448, 4.0846594130220604, 4.2021145647880207, 4.3131768544760858, 4.4134525038136605, 4.4992625488659765, 4.568007084002887, 4.6183532279824409, 4.6502229562073527, 4.664611164244028, 4.6632998366376466, 4.648542060606446, 4.6227749335528099, 4.5883954412970329, 4.5476095060501081, 4.5023478235975229, 4.4542338930727903, 4.4045878785134267, 4.3544519132279929, 4.3046259076462325, 4.2557064370451911, 4.2081241996712881, 4.1621776660745446, 4.1180619541287964, 4.0758928202041664, 4.0357261214781168, 3.9975733153582689, 3.961413620868699, 3.9272034422326536, 3.8948835902469368, 3.8643847581713326, 3.8356316300015103, 3.8085459271720055, 3.7830486377582542, 3.7590616205757943, 3.736508734501546, 3.7153166096399932, 3.6954151503050556, 3.6767378388835557, 3.6592218933745237, 3.6428083187958542, 3.6274418829307269, 3.6130710394154968, 3.5996478154468119, 3.5871276770157494, 3.5754693812363243, 3.5646348228096327, 3.5545888797398968, 3.5452992619717292, 3.5367363655271062, 3.5288731339091122, 3.521684927932573, 3.5151494046986231, 3.5092464061096154, 3.503957857090791, 3.4992676735239026, 3.4951616797964271, 3.4916275357996862, 3.4886546731766255, 3.4862342406064997, 3.4843590579145483, 3.4830235788155934, 3.4822238621218102, 3.4819575512774419, 3.4820906852449638, 3.4824902215322808, 3.4831565635318245, 3.4840903843552975, 3.4852926280211625, 3.4867645111167769, 3.4885075249348931, 3.4905234380854115, 3.4928142995813376, 3.495382442397065, 3.4982304874990953, 3.5013613483448567, 3.5047782358473727, 3.5084846637986518, 3.5124844547463292, 3.5167817463123101, 3.5213809979410753, 3.5262869980609741, 3.5315048716373534, 3.537040088089149, 3.542898469539062, 3.5490861993520406, 3.5556098309128013, 3.5624762965817611, 3.5696929167510913, 3.5772674089117671, 3.585207896620545, 3.5935229182366943, 3.6022214352686506, 3.6113128401439747, 3.6208069631796289, 3.6307140784860064, 3.6410449084912608, 3.6518106267141954, 3.6630228583486231, 3.6746936781406321, 3.6868356049538109, 3.6994615923057887, 3.7125850140408749, 3.7262196441557447, 3.7403796296274163, 3.7550794549039432, 3.7703338964835873, 3.7861579657580737, 3.8025668379857649, 3.8195757649224262, 3.837199968232694, 3.8554545103558446, 3.8743541389781999, 3.8939131006780228, 3.9141449186459489, 3.9350621286397773, 3.9566759665116544, 3.9789959997389075, 4.0020296944109148, 4.0257819080827844, 4.0502542978277125, 4.0754446317313988, 4.1013459910490138, 4.127945849340759, 4.1552250142554366, 4.1831564173820119, 4.2117037379469249, 4.2408198473863647, 4.2704450642970304, 4.300505213439898, 4.3309094888522486, 4.36154813039213, 4.3922899359123146, 4.4229796485718857, 4.4534352813365734, 4.4834454692296406, 4.5127669748214148, 4.5411225137561413, 4.5681991139576281, 4.5936472724545716, 4.6170812237702297, 4.6380806776243046, 4.6561944129109083, 4.6709461185903249, 4.6818428372484187, 4.6883862797845142, 4.6900871276407035, 4.6864822147325622, 4.6771541865274218, 4.6617528839572193, 4.6400173274301499, 4.6117968310555506, 4.5770695227149183, 4.5359564491419917, 4.488729563352722, 4.4358122537154845, 4.3777716667713076, 4.3153028383072112, 4.249205475119453, 4.1803549953049925, 4.1096700132831021, 4.0380787549480868, 3.9664868697266868, 3.8957487915624047, 3.8266442631577218, 3.7598609809623951, 3.6959836514247466, 3.6354891635932924, 3.578747139656123, 3.5260248484204912, 3.4774953511426547, 3.4332477671555406, 3.3932986604255722, 3.357603718161684, 3.3260690847063858, 3.2985619022935326, 3.274919778074624, 3.2549590353194198, 3.2384817133479888, 3.2252813571452554, 3.2151476877851057, 3.2078702737443865, 3.2032413360314935, 3.2010578213780172, 3.2011228714027968, 3.2032468046694103, 3.2072477151795318, 3.2129517766499398, 3.2201933279618773, 3.2288148020974514, 3.2386665490213389, 3.2496065924916278, 3.2876459329878105, 3.3310463780403992, 3.3770558742600651, 3.4233866054579165, 3.4681789675223538, 3.509968659008142, 3.5476475542107653, 3.5804141271563834, 3.6077158876026965, 3.6291916688231733, 3.644623768060498, 3.65390834179117, 3.6570478117959793, 3.6541628912607274, 3.6455160891557981, 3.6315349873208875, 3.6128234254370355, 3.5901521615904759, 3.5644265383313218, 3.5366351553414779, 3.5077883592835115, 3.478857123484612, 3.4507215215740481, 3.4241345468407967, 3.3997030020248995, 3.3778838489191809, 3.3589924041321217, 3.3432181180786706, 3.3306440208997432, 3.3212667963968547, 3.3150154630062652, 3.3117675539176128, 3.3113623873739337, 3.31361148744364, 3.3183064888445859, 3.3252249869315591, 3.3341348238228075, 3.3447972718957719, 3.35696951328319, 3.3704067358059753, 3.384864082553821, 3.4000986106129223, 3.4158713387004211, 3.431949397364408, 3.4481082421931859, 3.4641338529751629, 3.4798248218190864, 3.4949942312548052, 3.5094712377145254, 3.5231023029655746, 3.535752050787607, 3.5473037623371715, 3.557659555234808, 3.5667403136024891, 3.5744854462217717, 3.5808525471715549, 3.5858170195356109, 3.5893717016276359, 3.5915265112279466, 3.5923081012087974, 3.5917595035228009, 3.5899397303752032, 3.586923302301066, 3.5827996819959673, 3.5776726078343799, 3.5716593388556812, 3.5648898400070577, 3.5575059490884531, 3.5496605721079986, 3.5415169492576783, 3.5332480177712848, 3.5250358694190926, 3.5170712586091741, 3.5095530615975403, 3.5026875181305765, 3.4966870048059815, 3.4917679972112916, 3.4881477816322461, 3.4860393887088876, 3.4856441612971976, 3.4871413685581181, 3.4906743818179331, 3.4963331885876503, 3.5041334933131898, 3.5139933726690114, 3.525709408284869, 3.5389353187882908, 3.5531671580378408, 3.567739837482248, 3.5818397200850853, 3.5945370340556959, 3.604839771951017, 3.6117677620120796, 3.6144421730169345, 3.6121824077139864, 3.60459964997403, 3.5916746037480998, 3.5738065126007759, 3.551821889418953, 3.5269352778025738, 3.5006613957778367, 3.4746877301221342, 3.4507268601123346, 3.4303748471372377, 3.4150024856956978, 3.4056989940100353, 3.4032751664086791, 3.4083197694344864, 3.4212934300683964, 3.442640312014329, 3.47289827000888, 3.5127895096613866, 3.5632719031431908, 3.6255222415736235, 3.7008048041953816, 3.7901550921723883, 3.8937975683406929, 4.0102657109076389, 4.1353824109291475, 4.2616284760426399, 4.3787713361730889, 4.4763548572024181, 4.5473415087633189, 4.590766504083085, 4.6115768509041741, 4.6179527642958984, 4.6180008032492328, 4.6173554445315697, 4.6178230447565554, 4.6183381174200209, 4.6163286714057232, 4.6078621622265619, 4.588309341923658, 4.5533896942107885, 4.500419042542406, 4.4293141785685588, 4.3428513151553396, 4.2459915965738073, 4.1445930837721097, 4.0441118654021624, 3.9487620826140604, 3.8612523510884995, 3.7829440993168495, 3.714201355306153, 3.6547577304492247, 3.604014292048058, 3.5612468410108287, 3.5257334372928719, 3.4968228061143485, 3.4739630793932412, 3.4567056138409824, 3.4446938911688663, 3.4376439271060795, 3.4353203068051235, 3.437510660522638, 3.4440007558165155, 3.4545521017655849, 3.4688837873700153, 3.4866600303644262, 3.5074844925547826, 3.5309018067086426, 3.5564060214153428, 3.5834549256120698, 3.6114886044607726, 3.6399502188760695, 3.6683069481980084, 3.6960692717725965, 3.7228072108674635, 3.7481626947469162, 3.7718577423843125, 3.793698580926208, 3.8135761114656708, 3.8314632795889612, 3.847409939059093, 3.8615357528613168, 3.8740215987210234, 3.8850998701560489, 3.8950440103765844, 3.9041575926592631, 3.9127632634850609, 3.9211918822302785, 3.9297722085193203, 3.9388214911222952, 3.9486372901568578, 3.9594908130348689, 3.9716219663637484, 3.9852362287963459, 4.0005033451064165, 4.0175577419985773, 4.0365004823113964, 4.0574025139613523, 4.080308936590848, 4.1052440015976215, 4.1322165757233691, 4.1612258279501582, 4.1922669360334144, 4.2253366439534732, 4.2604385258271957, 4.297587815408618, 4.3368156308578936, 4.3781723447475986, 4.4217296929357657, 4.4675809410065224, 4.5158379656329641, 4.5666233514126118, 4.6200543791289315, 4.6762138255968866, 4.7350994303980496, 4.7965392373751037, 4.8600533933012544, 4.9246346876328309, 4.9884128983021787, 5.0481712276240414, 5.0987207913755368, 5.1322598587007349, 5.1381139955873243, 5.1036667743630666, 5.0175212096623207, 4.8750928762447154, 4.6842329113283929, 4.4659996442799708, 4.2478612728442249, 4.0533646886093289, 3.8955235571822864, 3.7767568182263203, 3.6927014633046498, 3.6362668399599678, 3.6002496530398904, 3.5785069909008582, 3.56623985412282, 3.5598713367491812, 3.5568000484298254, 3.5551559807335025, 3.5536028363447802, 3.5511938474448308, 3.5472745818540412, 3.5414226522389396, 3.5334139921326817, 3.5232057256916671, 3.5109259475352275, 3.4968613066222716, 3.4814349424381685, 3.4651706581684767, 3.4486440568583383, 3.4324264789389902, 3.4170310754887709, 3.4028707085579932, 3.3902344163860194, 3.3792842754150278, 3.3700697175229886, 3.3625533709524933, 3.3566418107867677, 3.3522157170603344, 3.34915587192818, 3.3473633105025735, 3.3467732776790107], [4.8357968832823328, 4.8386669865716776, 4.8463321896077005, 4.8559491459101292, 4.8628511153732763, 4.860970081700609, 4.843894466754378, 4.8065762205338602, 4.7471349707186778, 4.6677831076755645, 4.5742126745032268, 4.473766011713538, 4.3734443495034387, 4.2786501770592942, 4.1928730472722453, 4.1180153575991598, 4.0549556916754241, 4.0040844398194864, 3.9657046895739096, 3.9402839661666857, 3.9285730962067023, 3.9316055936993126, 3.9505779428809218, 3.9866033556372056, 4.0403401446883507, 4.1115281735230562, 4.1985206586403025, 4.2979529394398179, 4.404704595331884, 4.5122494221782228, 4.613354858063941, 4.7009551817045763, 4.7689683880007259, 4.8128873020566063, 4.8300973748525822, 4.8199671352235827, 4.7837740343261581, 4.724490016209705, 4.6464169432671127, 4.5546751721844823, 4.4546035503790211, 4.3511810164936859, 4.2485855284382268, 4.1499590472003804, 4.0573783544399022, 3.9719782292135739, 3.8941541183833315, 3.8237809353382515, 3.7604074348926524, 3.7034082182389345, 3.652091287455451, 3.6057674344787838, 3.5637905777408538, 3.5255778471774852, 3.4906165791224453, 3.4584634809632648, 3.428739554726377, 3.4011230830353267, 3.3753420694035414, 3.3511669159689577, 3.3284037346911002, 3.306888453401216, 3.286481743453495, 3.2670647241149018, 3.2485353654788343, 3.2308055006109422, 3.2137983588366308, 3.1974465395044405, 3.1816903556867446, 3.1664764881487137, 3.1517569005383201, 3.1374879767166108, 3.1236298503879389, 3.1101459058627348, 3.0970024371759766, 3.0841684613001727, 3.0716156903698399, 3.0593186783461142, 3.0472551703129396, 3.035406698824394, 3.0237594931121277, 3.0123057958995321, 3.0010457224578286, 2.9899898522933475, 2.9791628225919973, 2.9686083046423408, 2.9583959050085809, 2.9486307641236964, 2.9394669576241528, 2.9311262842008805, 2.9239247072271799, 2.9183096789100498, 2.9149128876089776, 2.914624653627389, 2.9186980909987108, 2.9288925558006418, 2.9476647896055082, 2.97840748502631, 3.0257074884551751, 3.0955276425736207, 3.1950743919926969, 3.331878664753277, 3.5113891493426945, 3.7325971254496721, 3.9827379366257549, 4.235078895683773, 4.4549765295791248, 4.6136291281680526, 4.6998480007822847, 4.7208514108075743, 4.6940536499117158, 4.6380722871930695, 4.56778509956004, 4.493229218729538, 4.4203965695136356, 4.3524738964535645, 4.2909022759032291, 4.2361180884148606, 4.1880213980547465, 4.1462543819304551, 4.1103595474038048, 4.0798658974855639, 4.054333447244387, 4.0333743922098053, 4.0166616422782591, 4.0039308792134864, 3.9949796271615532, 3.9896652854930736, 3.9879031925358985, 3.9881823704007937, 3.9890206052830575, 3.9904200032368982, 3.992384081633765, 3.9949177800087918, 3.9980274750861113, 4.0017209998111847, 4.0060076661458428, 4.010898291295022, 4.0164052269218908, 4.0225423907703073, 4.029325299931358, 4.0367711047712973, 4.0448986222438696, 4.0537283669596356, 4.0632825779185229, 4.0735852382470661, 4.0846620845554726, 4.0965406016267316, 4.109249997016617, 4.1228211487218864, 4.1372865173066966, 4.1526800116617064, 4.1690367948254874, 4.1863930128853388, 4.2047854257501287, 4.2242509133887216, 4.2448258247425956, 4.2665451287422869, 4.2894413174477624, 4.3135430000716442, 4.3388731133522525, 4.3654466583471736, 4.3932678563505752, 4.4223265978002537, 4.4525940388383765, 4.4840171826887332, 4.5165122707710212, 4.5499568071887699, 4.5841800587234687, 4.6189519236733698, 4.6539701650352558, 4.6888461808864301, 4.7230897674075649, 4.7560937509439301, 4.7871199541792411, 4.8152887294376452, 4.8395752094104356, 4.858816386269492, 4.8717339111234788, 4.876977734000616, 4.8731948631006272, 4.8591250417576868, 4.8337206229715441, 4.7962814886931255, 4.7465885438534396, 4.685013211901107, 4.6125782636293993, 4.5309496447697368, 4.4423503094868799, 4.3494031212051194, 4.2549258093811106, 4.1617113106713148, 4.0723280802155504, 3.9889672619741492, 3.9133504041808118, 3.8466975247475457, 3.7897447421527048, 3.7427952162135223, 3.705786497386796, 3.6783600202515463, 3.6599226023838991, 3.6496940378527225, 3.6467384516463985, 3.6499798093697429, 3.6582040121124386, 3.6700516571886057, 3.6840071072434122, 3.6983911376753444, 3.7113660233040804, 3.7209630172487822, 3.7251418988921428, 3.7218894627667725, 3.7093574435984644, 3.6860302580043869, 3.650900694963747, 3.6036211118101109, 3.5445939721225099, 3.4749728627113106, 3.3965636050389092, 3.3116394140137628, 3.2227052823397342, 3.1322568032857725, 3.0425746066585329, 2.9555808413331555, 2.8727657023108288, 2.7951765106012676, 2.7234528737287484, 2.6578891293620153, 2.5985076287120874, 2.5451309579458945, 2.4974459660989563, 2.4550563759113224, 2.417523445708853, 2.384395717858296, 2.3552296096825298, 2.3296027740173155, 2.3071220215444015, 2.2874273240427097, 2.2701931095568697, 2.2551277719503595, 2.2419720721770644, 2.2304969127332006, 2.2205008168823523, 2.2118073333543138, 2.204262507421729, 2.1977325032853376, 2.1921014244263239, 2.1872693531522143, 2.1831506142601649, 2.1796722578065491, 2.1767727504051848, 2.174400861847309, 2.1725147331479113, 2.171081112680787, 2.1700747484068272, 2.1694779260146371, 2.1692801448830519, 2.1694779260146273, 2.1700747484067935, 2.1710811126808087, 2.1725147331478993, 2.1744008618472974, 2.1767727504051577, 2.1796722578065473, 2.1831506142601662, 2.1872693531522254, 2.1921014244263359, 2.1977325032853492, 2.2042625074217073, 2.2118073333542734, 2.2205008168823399, 2.2304969127331962, 2.2419720721770715, 2.2551277719503307, 2.2701931095568657, 2.2874273240427017, 2.3071220215443882, 2.3296027740173031, 2.3552296096825005, 2.3843957178583026, 2.4175234457088659, 2.4550563759113428, 2.4974459660989354, 2.5451309579459225, 2.5985076287121216, 2.6578891293619513, 2.723452873728716, 2.7951765106012925, 2.8727657023108319, 2.9555808413330888, 3.0425746066585164, 3.1322568032857299, 3.2227052823397901, 3.3116394140137824, 3.3965636050388821, 3.4749728627113141, 3.5445939721224962, 3.6036211118100416, 3.6509006949637128, 3.68603025800437, 3.709357443598448, 3.7218894627667258, 3.7251418988921152, 3.7209630172487675, 3.7113660233040813, 3.6983911376753209, 3.6840071072434384, 3.6700516571886319, 3.6582040121124382, 3.6499798093697229, 3.646738451646379, 3.6496940378527141, 3.6599226023838796, 3.6783600202516524, 3.705786497386875, 3.7427952162135485, 3.7897447421527435, 3.8466975247476332, 3.9133504041808904, 3.9889672619741585, 4.0723280802156427, 4.1617113106713113, 4.2549258093811488, 4.349403121205107, 4.4423503094869696, 4.5309496447698834, 4.612578263629338, 4.6850132119011576, 4.7465885438534157, 4.7962814886931033, 4.8337206229715308, 4.8591250417577045, 4.8731948631006343, 4.8769777340006257, 4.8717339111234601, 4.8588163862694529, 4.8395752094104187, 4.8152887294376692, 4.7871199541791754, 4.7560937509438395, 4.7230897674075027, 4.6888461808864204, 4.6539701650352727, 4.6189519236733645, 4.584180058723426, 4.5499568071886678, 4.5165122707709822, 4.4840171826887234, 4.4525940388383161, 4.4223265978001871, 4.3932678563504979, 4.3654466583472065, 4.3388731133522453, 4.3135430000715322, 4.2894413174477268, 4.2665451287421865, 4.2448258247425326, 4.2242509133887252, 4.2047854257501251, 4.1863930128852944, 4.1690367948254625, 4.1526800116616549, 4.1372865173066824, 4.1228211487219673, 4.1092499970165948, 4.0965406016268053, 4.0846620845555153, 4.0735852382471096, 4.06328257791849, 4.0537283669596809, 4.0448986222439824, 4.0367711047712778, 4.0293252999314131, 4.0225423907702984, 4.0164052269219122, 4.0108982912950237, 4.006007666145841, 4.00172099981115, 3.998027475086142, 3.9949177800087474, 3.9923840816337615, 3.9904200032369319, 3.9890206052830992, 3.9881823704007897, 3.9879031925357951, 3.9880427617107528, 3.9884615826517846, 3.9891599956776589, 3.9901385682161488, 3.9913980951449823, 3.9929395992590622, 3.9947643318537893, 3.9968737734126543, 3.9992696343820646, 4.0019538560124497, 4.004928611243157, 4.0081963056007535, 4.0117595780785278, 4.0156213019558678, 4.0197845855137606, 4.0242527725919386, 4.0290294429269586, 4.0341184122009306, 4.0395237317198589, 4.0452496876272468, 4.0513007995498809, 4.0576818185500176, 4.0643977242459854, 4.0714537209432873, 4.0788552325911978, 4.0866078963590464, 4.094717554593835, 4.103190244890456, 4.1120321879643198, 4.1212497729770154, 4.1308495399166478, 4.140838158577953, 4.1512224036275436, 4.1620091251689706, 4.1732052141454892, 4.1848175618264749, 4.1968530125297079, 4.2093183086154005, 4.2222200266693335, 4.2355645036513376, 4.2493577516325676, 4.2636053595823711, 4.2783123804717649, 4.2934832017693534, 4.3091213971797879, 4.3252295572492407, 4.3418090962102855, 4.3588600321869553, 4.3763807376177342, 4.3943676564970175, 4.4128149847907769, 4.431714310162973, 4.4510542069814631, 4.4708197824717697, 4.4909921698941666, 4.5115479647734826, 4.5324586005653984, 4.5536896607570485, 4.575200125369447, 4.5969415512255516, 4.6188571873079329, 4.640881029166473, 4.6629368197976895, 4.6849370088649227, 4.7067816877026889, 4.7283575244175156, 4.7495367316513626, 4.7701761092929909, 4.7901162155421009, 4.8091807320847533, 4.8271761023132633, 4.8438915348665645, 4.8590994772573657, 4.8725566745766065, 4.8840059343622633, 4.8931787183908488, 4.899798672748906, 4.9035861862543229, 4.9042640314786512, 4.9015640902501989, 4.8952350958270232, 4.8850512380854747, 4.8708213798597342, 4.8523985288794131, 4.8296891106743072, 4.8026615061506348, 4.771353267520773, 4.735876421591982, 4.6964203206148092, 4.6532516126818493, 4.6067110726807794, 4.5572072486205553, 4.5052071158733691, 4.4512241667982311, 4.395804566831429, 4.3395121550699081, 4.2829131398985041, 4.2265613313103643, 4.1709846658899759, 4.1166736329091513, 4.0640720226073688, 4.0135702152412387, 3.9655010352916156, 3.9201380279538069, 3.8776958868075759, 3.8383326774598192, 3.8021534609067142, 3.7692149167510927, 3.7395305919532968, 3.7130764462482237, 3.6897964219807449, 3.6696078264569385, 3.6524063733452126, 3.6380707823580551, 3.6264668812573357, 3.6174511902909856, 3.6108739966419852, 3.6065819460827706, 3.6044201919002892, 3.60423414850385, 3.6058709001692404, 3.6091803151998367, 3.6140159133525276, 3.6202355304509406, 3.6277018193014428, 3.6362826208120445, 3.6458512339148657, 3.6562866077716967, 3.6916700330607242, 3.7310591927045369, 3.7721414464989973, 3.8130754094666606, 3.8524649380541294, 3.8893133821289658, 3.9229579254444014, 3.9529889323422984, 3.9791639087846233, 4.0013280524851842, 4.0193527904363844, 4.0331005853293647, 4.0424195188927783, 4.047165675792364, 4.0472460574078015, 4.0426705999972059, 4.0335998682741003, 4.0203759486302539, 4.0035280944456346, 3.9837508605764791, 3.9618589968688416, 3.9387282515554132, 3.9152331497335369, 3.892191646437047, 3.8703232703618706, 3.8502234056209987, 3.8323529449645197, 3.8170403577244816, 3.8044923300218163, 3.7948092549367685, 3.788002550207163, 3.7840116841715781, 3.7827196461240362, 3.7839662801433795, 3.7875593788183939, 3.7932837241567854, 3.8009084076600081, 3.8101928029313639, 3.8208915390365439, 3.8327587594471182, 3.8455518703856675, 3.8590348985712484, 3.8729815024136176, 3.8871776203655855, 3.9014237005506773, 3.9155364395382066, 3.9293499650011698, 3.942716423874181, 3.9555059788505424, 3.9676062641273719, 3.978921398031547, 3.9893706879384871, 3.9988871859107076, 4.0074162584805402, 4.0149143206579465, 4.0213478549155415, 4.0266927950429467, 4.0309343080519753, 4.0340669607335569, 4.0360952164756467, 4.0370341768142994, 4.036910463602033, 4.0357631325081398, 4.0336445159843937, 4.0306209114513756, 4.0267730547581522, 4.0221963457383225, 4.0170008175117253, 4.0113108599197709, 4.005264716616205, 3.9990137722111054, 3.9927216288302718, 3.9865629398885334, 3.9807219232910809, 3.9753904184582267, 3.9707652850519968, 3.967044872075205, 3.9644242237484386, 3.9630886477982092, 3.9632052731776017, 3.9649122948238396, 3.9683057744812613, 3.9734241698894381, 3.9802312201469721, 3.988598417612093, 3.9982889979624487, 4.0089460742042871, 4.0200880629260594, 4.0311147002109093, 4.0413265306145973, 4.0499596646555496, 4.056235865745923, 4.0594258302130903, 4.0589211629061195, 4.0543083576484458, 4.0454363650508807, 4.0324683449873691, 4.0159082955059677, 3.996594892054024, 3.9756585462728951, 3.9544435258522772, 3.9344042213968877, 3.9169914580562395, 3.9035486426767596, 3.8952365370877322, 3.892999305219206, 3.8975750366951547, 3.9095442399398102, 3.9294024278229149, 3.9576387375226787, 3.9948003359175086, 4.0415196344660629, 4.0984755608621173, 4.1662508209489717, 4.2450393289219051, 4.3341684939070522, 4.4314635846256287, 4.5326355430828587, 4.6311043011606285, 4.7187964852030735, 4.7881353693479376, 4.8345653588083408, 4.8581983280317873, 4.8635348500258617, 4.8575598187647495, 4.8474637037176622, 4.8390139878508398, 4.8357968832823328, 4.8379637529303654, 4.8439294083358666, 4.8520934033451946, 4.85983314461925, 4.8636679497460502, 4.8596441627326552, 4.8439914882991451, 4.8139632351417889, 4.7686000374853519, 4.7090822074916954, 4.6384746224929181, 4.560964268914999, 4.4809278974219424, 4.4021794474708429, 4.3275733608259319, 4.2589437969889268, 4.197255727916354, 4.1428380831944596, 4.0956117996064068, 4.05527230088693, 4.0214174988102416, 3.9936278613180543, 3.9715099173897146, 3.9547141705694049, 3.9429362092989444, 3.9359075082557151, 3.9333806100200008, 3.9351121308363424, 3.9408462105614239, 3.9503004407075357, 3.9631557978876355, 3.9790515826749915, 3.9975857825739141, 4.0183206696404428, 4.0407928766071546, 4.0645267513935046, 4.0890495337159471, 4.1139068568268602, 4.1386772352071279, 4.1629845011750692, 4.1865075262305398, 4.2089869337050532, 4.2302288220246798, 4.2501057416607884, 4.2685552975596952, 4.2855767953807771, 4.3012263378174325, 4.3156107328728872, 4.3288805223048232, 4.3412223919835471, 4.3528511953926872, 4.3640018085403485, 4.3749210352480201, 4.3858597888443445, 4.3970657812710936, 4.4087769459203141, 4.4212158009621083, 4.4345849235427623, 4.4490636535016774, 4.4648060824927382, 4.4819403167163774, 4.5005689354813443, 4.5207705093033548, 4.5426019941389919, 4.5661017840843794, 4.5912931821443026, 4.6181880335370602, 4.6467902520025861, 4.677098947914228, 4.7091108262088994, 4.7428214474276187, 4.7782248167623012, 4.81531055700761, 4.8540575942544706, 4.8944227884523057, 4.9363222061436431, 4.9796016770355536, 5.023991821116323, 5.0690408631573156, 5.1140164650518267, 5.1577662602936556, 5.1985277888537622, 5.2336866356356868, 5.2595054808255881, 5.2708999288254628, 5.2614316632707938, 5.2238126157000329, 5.1512746771373008, 5.0399449948249311, 4.89165972529862, 4.7156753036866172, 4.5275359943241122, 4.344902088777947, 4.1824768809545541, 4.0488224000131767, 3.9461450788790322, 3.8720950411729897, 3.8220195095383636, 3.7906952821640978, 3.7733107652270079, 3.7658623336884758, 3.7652084241829504, 3.7689671509704126, 3.7753659295710618, 3.7830953120702047, 3.7911870630527833, 3.798920919879639, 3.8057581161550873, 3.8112977412036613, 3.8152516351075785, 3.8174334160609589, 3.8177568756718112, 3.8162383996976335, 3.812997734824572, 3.8082519785982982, 3.8022995843488268, 3.795494301142281, 3.7882123984294824, 3.7808189329987778, 3.7736392092430431, 3.7669399094292215, 3.760921517541679, 3.7557208770038568, 3.7514209286015885, 3.7480641287076946, 3.7456664611391042, 3.7442298248348229, 3.7437514697461496], [5.0427891736038619, 5.0459425450707771, 5.0549478713489542, 5.0683953639844548, 5.0838208483092231, 5.0976653789821142, 5.1054716361245687, 5.1024900662526784, 5.0847106413827357, 5.0500282946757125, 4.9989966509740329, 4.9347260818648184, 4.8619628119013356, 4.7858519848290229, 4.710950760674721, 4.6407622309552528, 4.5777332735829459, 4.5235106917320085, 4.4792651078555679, 4.4459677007810283, 4.424569566977361, 4.4160680810132744, 4.4214576007875985, 4.4415679893601787, 4.476805775775957, 4.5268354280229737, 4.5902693453647672, 4.6644610039101035, 4.7454951749219196, 4.8284272671026276, 4.9077483461067386, 4.9779773169403292, 5.034247194684828, 5.0727737727994331, 5.0911513933452515, 5.0884737902690693, 5.0653032054761908, 5.023510641907567, 4.9660043509683165, 4.8963698408312695, 4.8184637374440591, 4.7360217090718777, 4.6523416925840646, 4.5700834745709518, 4.4911936128061143, 4.4169355266162889, 4.347988520741298, 4.2845779813823786, 4.2266071564734133, 4.1737724560975344, 4.1256545103674913, 4.081784331767599, 4.0416877910427313, 4.0049130577319785, 3.971045647371696, 3.9397150211345382, 3.9105957840080485, 3.8834056778329464, 3.8579018679115826, 3.8338764954053408, 3.8111520931038716, 3.7895772076514658, 3.7690224054175214, 3.7493767354900029, 3.7305446615697737, 3.7124434403061795, 3.6950009067679286, 3.6781536215449804, 3.6618453340534858, 3.6460257202029123, 3.630649358012378, 3.6156749110860011, 3.6010644965925933, 3.5867832213973716, 3.572798877326691, 3.5590817944592832, 3.5456048602529795, 3.5323437228189474, 3.5192772095912694, 3.5063880091396826, 3.4936636855187757, 3.4810981235270053, 3.4686935426147509, 3.4564632712077845, 3.4444355478575659, 3.4326587191812754, 3.4212083483637103, 3.4101969472785933, 3.399787319605915, 3.3902108748377979, 3.3817927665448106, 3.3749863330543093, 3.3704200426460669, 3.3689608252613517, 3.3717979073511284, 3.3805501023257887, 3.3973948995435461, 3.4252056482477409, 3.4676568049996122, 3.5292074022192756, 3.6147945452655792, 3.7289831740854695, 3.8743194323517218, 4.0489269944699577, 4.2441620652632697, 4.4441095510098094, 4.6286357386852783, 4.7794973908184746, 4.8861117799834428, 4.9474892964424111, 4.9699870368429098, 4.9633169084554973, 4.9372383004769693, 4.8998206670310145, 4.8569875875014921, 4.812739997770259, 4.7696043048098646, 4.729073011787789, 4.6919557565746919, 4.658631801482418, 4.6292212840784837, 4.6036971231500887, 4.5819562715959838, 4.5638641701038942, 4.5492819757635727, 4.5380829255092161, 4.5301619551257586, 4.5254411925499225, 4.5238729517034608, 4.5241280171615781, 4.5248936696644693, 4.5261712770138542, 4.5279631168719296, 4.5302723735429185, 4.5331031330417435, 4.5364603760092264, 4.5403499678792985, 4.544778645533337, 4.54975399947699, 4.5552844503465124, 4.561379218277108, 4.5680482833506622, 4.5753023349528137, 4.5831527074275344, 4.5916112988694113, 4.6006904692624504, 4.6104029134073929, 4.6207615031771203, 4.6317790925669184, 4.6434682777354972, 4.6558411027423858, 4.6689086999291884, 4.6826808518538909, 4.6971654593241636, 4.7123678973692984, 4.7282902379372853, 4.7449303147079709, 4.7622806017359931, 4.7803268737847615, 4.799046612390093, 4.8184071182288841, 4.8383632877840501, 4.8588550113711104, 4.8798041514563097, 4.9011110664523194, 4.9226506580125218, 4.9442679421848341, 4.9657731803527003, 4.9869366592648934, 5.0074832858466509, 5.0270872673000486, 5.0453672847678028, 5.0618827414347294, 5.0761318697545779, 5.087552704374577, 5.0955281395697574, 5.0993964450975939, 5.098468641573187, 5.0920539433718544, 5.0794939611124184, 5.060205430207267, 5.0337298684283551, 4.9997868478218912, 4.9583257385695294, 4.9095692604523968, 4.8540414912942804, 4.7925736293312537, 4.7262830454144096, 4.6565248142504547, 4.5848193015759033, 4.5127634624959816, 4.4419361992393638, 4.3738087193872843, 4.3096692418293934, 4.2505681690147155, 4.1972859277721248, 4.1503220586784044, 4.1099015153734717, 4.0759928186680146, 4.0483326192508153, 4.026452049524412, 4.0097016125914537, 3.9972729360967079, 3.9882172815699013, 3.9814621105264694, 3.9758281831511293, 3.9700505187333914, 3.9628069474361247, 3.9527577344394436, 3.9385986285208894, 3.9191275018447569, 3.8933215366128651, 3.8604180823682834, 3.8199887267132513, 3.7719940229625122, 3.7168069104710906, 3.655196757886563, 3.5882726644588079, 3.5173924969762855, 3.4440507974204468, 3.3697621470468841, 3.2959559578670348, 3.2238945763436209, 3.1546206654296736, 3.0889339625733965, 3.0273930951465333, 2.970335759791368, 2.9179100945357512, 2.8701109261938011, 2.826816099661372, 2.7878197505858626, 2.7528608319974315, 2.7216463014852454, 2.6938691033884035, 2.6692214965757897, 2.647404464053821, 2.6281339745912646, 2.6111448123346603, 2.5961925934939583, 2.5830544789969876, 2.5715289856240595, 2.5614352040881871, 2.552611653978623, 2.5449149424985551, 2.5382183449712938, 2.532410388015867, 2.5273934888548699, 2.523082684354331, 2.5194044693471764, 2.5162957541161588, 2.5137029444751868, 2.5115811438091327, 2.5098934740531953, 2.5086105114141364, 2.5077098323007485, 2.5071756651739134, 2.5069986446616541, 2.5071756651739019, 2.5077098323007116, 2.508610511414159, 2.5098934740531829, 2.5115811438091189, 2.5137029444751557, 2.5162957541161566, 2.5194044693471782, 2.5230826843543439, 2.5273934888548841, 2.5324103880158773, 2.5382183449712707, 2.544914942498512, 2.5526116539786101, 2.5614352040881854, 2.5715289856240671, 2.5830544789969516, 2.5961925934939512, 2.6111448123346594, 2.6281339745912535, 2.647404464053805, 2.6692214965757639, 2.6938691033884057, 2.721646301485257, 2.7528608319974524, 2.7878197505858409, 2.8268160996614022, 2.8701109261938318, 2.9179100945356899, 2.9703357597913516, 3.0273930951465529, 3.0889339625734045, 3.1546206654296194, 3.223894576343608, 3.2959559578669957, 3.3697621470469272, 3.4440507974204619, 3.5173924969762678, 3.5882726644588168, 3.6551967578865541, 3.7168069104710222, 3.7719940229624833, 3.8199887267132353, 3.8604180823682701, 3.8933215366128291, 3.9191275018447338, 3.9385986285208725, 3.9527577344394333, 3.9628069474360981, 3.9700505187333839, 3.975828183151155, 3.9814621105264711, 3.9882172815698849, 3.9972729360966706, 4.009701612591444, 4.0264520495243863, 4.0483326192509059, 4.0759928186680829, 4.1099015153734859, 4.1503220586784275, 4.1972859277721843, 4.2505681690147776, 4.3096692418293969, 4.3738087193873696, 4.4419361992393531, 4.5127634624960127, 4.5848193015758811, 4.6565248142505204, 4.7262830454145321, 4.7925736293312031, 4.8540414912943355, 4.9095692604523755, 4.9583257385695143, 4.9997868478218832, 5.03372986842838, 5.0602054302072919, 5.0794939611124583, 5.0920539433718508, 5.0984686415731719, 5.0993964450975904, 5.0955281395697858, 5.0875527043745503, 5.076131869754545, 5.0618827414347045, 5.0453672847677957, 5.0270872673000575, 5.0074832858466518, 4.9869366592648579, 4.9657731803526328, 4.9442679421848057, 4.9226506580125164, 4.9011110664522812, 4.8798041514562538, 4.8588550113710642, 4.8383632877840803, 4.8184071182288779, 4.7990466123900077, 4.7803268737847322, 4.7622806017359096, 4.7449303147079203, 4.7282902379372889, 4.7123678973692957, 4.6971654593241245, 4.6826808518538714, 4.6689086999291431, 4.6558411027423681, 4.6434682777355709, 4.6317790925668998, 4.6207615031771851, 4.6104029134074285, 4.6006904692624833, 4.5916112988693776, 4.583152707427578, 4.5753023349529176, 4.5680482833506391, 4.5613792182771622, 4.5552844503465, 4.5497539994770069, 4.5447786455333423, 4.5403499678792949, 4.5364603760091935, 4.5331031330417781, 4.5302723735428749, 4.5279631168719288, 4.5261712770138827, 4.5248936696645075, 4.5241280171615781, 4.5238729517033534, 4.5240004706345829, 4.5243830899367676, 4.5250209969909916, 4.5259145036122685, 4.5270640453123336, 4.5284701802508689, 4.5301335878584563, 4.5320550671110427, 4.5342355344286513, 4.5366760211652286, 4.5393776706532361, 4.5423417347569846, 4.5455695698849761, 4.5490626324008714, 4.552822473368666, 4.5568507325553744, 4.5611491316071486, 4.5657194663038299, 4.5705635977856396, 4.5756834426316342, 4.5810809616608186, 4.5867581473043986, 4.5927170093870044, 4.5989595591356949, 4.6054877912123651, 4.6123036635477748, 4.619409074728372, 4.6268058386642634, 4.6344956562344084, 4.6424800835780475, 4.6507604966670293, 4.6593380517565146, 4.668213641274332, 4.6773878446672823, 4.6868608736800113, 4.6966325114924929, 4.7067020450980115, 4.7170681902485816, 4.727729008247346, 4.7386818138129421, 4.7499230731896604, 4.7614482916334762, 4.7732518893522702, 4.7853270649503248, 4.7976656453933204, 4.8102579215043333, 4.8230924680035931, 4.8361559471414557, 4.8494328950388637, 4.862905489959032, 4.8765533018959495, 4.8903530230916568, 4.9042781794047219, 4.9182988228564719, 4.93238120620512, 4.9464874410586059, 4.9605751418608257, 4.9745970590909687, 4.988500706240294, 5.0022279865788812, 5.0157148274370256, 5.0288908317031744, 5.0416789584914321, 5.0539952474523782, 5.0657486039491184, 5.0768406652563129, 5.0871657709520859, 5.0966110636450122, 5.1050567489046728, 5.1123765455152297, 5.1184383586212086, 5.1231052086200188, 5.1262364473390241, 5.1276892896469946, 5.1273206827085041, 5.1249895261492506, 5.1205592441089935, 5.1139006943358902, 5.1048953802068864, 5.0934389092716978, 5.079444617476657, 5.0628472529778135, 5.0436065892345177, 5.02171081614941, 4.9971795429260641, 4.9700662396438071, 4.9404599485972591, 4.9084861129132156, 4.8743063994989733, 4.8381174354060672, 4.8001484291340306, 4.7606577078035741, 4.719928262848029, 4.6782624556249752, 4.6359760847631515, 4.5933920544102325, 4.5508339033812266, 4.5086194577935554, 4.4670548543223942, 4.4264291497843837, 4.3870096889476189, 4.3490383508129096, 4.3127287390422495, 4.2782643293499811, 4.2457975394235756, 4.2154496481170156, 4.1873114618592888, 4.1614446078802558, 4.1378833254428056, 4.1166366264851684, 4.0976907042180715, 4.0810114803718118, 4.0665471971024774, 4.0542309763645354, 4.0439832864900191, 4.0357142717204342, 4.0293259148295162, 4.0247140153114529, 4.0217699757337311, 4.0203823967647798, 4.0204384872370733, 4.0218252996169097, 4.0244308037039866, 4.0281448125601722, 4.0328597748484958, 4.0384714472197505, 4.0448794593310984, 4.0519877827357433, 4.0766269573507996, 4.1045945006836826, 4.134149789325499, 4.1639943909162884, 4.1932368497576169, 4.2213293907006664, 4.2479853955119768, 4.273088209865425, 4.2966022744212786, 4.3184964308863547, 4.3386869426923385, 4.3570049245973532, 4.3731899450931691, 4.3869086791300074, 4.3977945989593481, 4.4055018545470652, 4.4097640956592885, 4.4104477320534139, 4.4075897567581519, 4.4014130880322417, 4.3923169627747303, 4.3808450361371891, 4.3676380205293039, 4.3533798061512732, 4.3387457348955456, 4.3243595730003133, 4.310762736792304, 4.2983964524028613, 4.287595414665323, 4.2785903634564422, 4.2715167003048755, 4.2664265486915154, 4.2633022285162152, 4.2620697451750615, 4.2626114512689774, 4.2647774645590975, 4.2683957108707755, 4.2732806242531378, 4.2792406086487604, 4.2860843763361656, 4.2936262553511408, 4.3016905223260871, 4.310114784252189, 4.3187524126731214, 4.3274740317814233, 4.3361680784015615, 4.3447404837380148, 4.3531135681920148, 4.3612242842001416, 4.3690219805415342, 4.3764658886689904, 4.3835225431812406, 4.3901633429246356, 4.3963624371815433, 4.4020950857842704, 4.4073365968930904, 4.4120618962875628, 4.4162457319603359, 4.4198634716432581, 4.4228924118927964, 4.4253134877926792, 4.4271132535123172, 4.428285996184929, 4.428835848235793, 4.4287787748882899, 4.4281443318157967, 4.426977109889215, 4.4253378063603392, 4.4233038811654772, 4.4209697700508164, 4.4184466301306911, 4.4158615863399309, 4.4133564282137714, 4.4110856761891126, 4.4092138976851505, 4.407912110464336, 4.4073530719643177, 4.4077052296840851, 4.4091251143320802, 4.4117480127867372, 4.4156768822747967, 4.4209696790352231, 4.4276255846617838, 4.4355710154601278, 4.4446467628364115, 4.4545980714145186, 4.4650698187962394, 4.4756090981866876, 4.4856773085754069, 4.4946732522714523, 4.5019677230777697, 4.5069487212988539, 4.5090749027164492, 4.5079333331106701, 4.5032962412408395, 4.4951703897960442, 4.4838320986456486, 4.4698411474554289, 4.4540281648453313, 4.4374530674639026, 4.4213366960073124, 4.4069733613397162, 4.3956371023999372, 4.3884971740356793, 4.3865571441396973, 4.3906267734962396, 4.401327893812315, 4.419127003165598, 4.4443802190500019, 4.4773713394867878, 4.5183205753652578, 4.5673392313159411, 4.6243049649756136, 4.6886380825610399, 4.7589829284982681, 4.832855851222182, 4.9064184024297735, 4.9746314011138093, 5.0320246003156495, 5.0740439556153385, 5.0984765392951594, 5.1061952862767219, 5.1007891267465624, 5.0873445157953654, 5.0710762546297126, 5.0563640824338441, 5.0463302243793855, 5.0427891736038619, 5.0451604910699803, 5.0520119030084558, 5.0625423285373587, 5.0753830327828755, 5.0885865540790309, 5.0996865676061889, 5.1058869901471136, 5.1044134838459119, 5.0929945867195059, 5.0703511761566959, 5.0365171219806157, 4.9928497028809451, 4.9417160370344115, 4.8859831411750125, 4.8285012917981591, 4.7717281915504275, 4.717546440365199, 4.6672459633679848, 4.6216075203038285, 4.5810261783513049, 4.5456335426149472, 4.5153982144375062, 4.4901984617286352, 4.4698689450719078, 4.4542265190356645, 4.4430807307191973, 4.4362341251613202, 4.4334766254747393, 4.4345774117977399, 4.4392769579033233, 4.4472811780319468, 4.4582589546318889, 4.4718436508723078, 4.4876385854362333, 4.5052259110969732, 4.5241779469222267, 4.5440698038348089, 4.5644921213759488, 4.5850628735640599, 4.6054374526109569, 4.6253165394026183, 4.6444515619772613, 4.6626477858837276, 4.679765251232884, 4.6957178670841921, 4.7104710049276566, 4.7240379174360863, 4.7364752662852529, 4.7478779914735973, 4.758373707511681, 4.7681167771464201, 4.7772821939358234, 4.7860593998952945, 4.7946461695216271, 4.80324270106121, 4.81204606379365, 4.8212451509083643, 4.8310162773296161, 4.8415195387124914, 4.8528960120577898, 4.8652658321312305, 4.8787271245828432, 4.8933557202757827, 4.9092055193732964, 4.9263093205179187, 4.9446798804411625, 4.9643109207865912, 4.9851777475709937, 5.0072370877902008, 5.0304256679150026, 5.0546569487294226, 5.0798152763100379, 5.1057464950284386, 5.1322437819339299, 5.1590270976864039, 5.1857142252284154, 5.2117809548090932, 5.2365077560031601, 5.2589106546737785, 5.2776557946735627, 5.2909617194880507, 5.2965029733150599, 5.2913459811636478, 5.2719750954050966, 5.2344993930575017, 5.1751511968283141, 5.0911540856099657, 4.9818953274501956, 4.8500705175943164, 4.7022034785810893, 4.5479708990783836, 4.3982849554408956, 4.2628520268500498, 4.1482842357874459, 4.0574481261162418, 3.9899761068453836, 3.9433740126311982, 3.9141506842646829, 3.8986558785914891, 3.8935665119471055, 3.8960947376596007, 3.9040220640403924, 3.9156447512193253, 3.9296853667762504, 3.9452002995868756, 3.9614967815151561, 3.9780639825592989, 3.994518496358769, 4.0105629687203068, 4.0259563820000563, 4.0404947512223464, 4.0540011927242494, 4.0663241855791812, 4.0773422620947324, 4.0869724941764112, 4.0951793978229913, 4.1019807718983854, 4.1074478456966688, 4.1116988067416838, 4.1148867253075032, 4.1171843370818353, 4.118768607047671, 4.119807487443925, 4.1204502083291654, 4.1208213111588625, 4.1210178119475493, 4.1211084808880347, 4.1211341902190552], [5.2259844245066667, 5.2286534743516189, 5.2364596083745507, 5.2487631330235498, 5.2643880319282035, 5.2815043037687026, 5.2975671981604275, 5.3094208016777564, 5.3136635258537268, 5.3072815385188621, 5.2883890480323661, 5.256774073620182, 5.2139806614376534, 5.1628895982375758, 5.1070213133843367, 5.0498760905250846, 4.9945197370485852, 4.9434483563583189, 4.8986492699071817, 4.8617457559361403, 4.8341359898958096, 4.8170715494522058, 4.8116493016742901, 4.8187113625741267, 4.8386668273387992, 4.8712702459148298, 4.9154133459696414, 4.9689993713356078, 5.0289620520574694, 5.0914582267121276, 5.152213051312649, 5.2069508130513151, 5.2518239901024133, 5.2837651289547889, 5.3007187596633969, 5.301744190029245, 5.2870009183887303, 5.2576354960866896, 5.2155896211128399, 5.1633519153898213, 5.1036821924902736, 5.0393429176228688, 4.9728721758063852, 4.9064232829709242, 4.8416808273178251, 4.7798471386920882, 4.7216821048865327, 4.6675750311386954, 4.6176289329736768, 4.5717427116856904, 4.5296825284670854, 4.4911386922838679, 4.4557678352316596, 4.4232220977232224, 4.3931678455502476, 4.3652965138832087, 4.3393298677801999, 4.3150215209413449, 4.2921561005722069, 4.2705470513603041, 4.2500337571150393, 4.2304784228536123, 4.2117629913214278, 4.1937862517329307, 4.1764612214443897, 4.1597128321761101, 4.1434759226776388, 4.1276935230487961, 4.1123154078190041, 4.0972968922743629, 4.0825978473705904, 4.0681819115907718, 4.0540158825250074, 4.0400692763833357, 4.0263140499865635, 4.0127244871221635, 3.9992772598231645, 3.9859516856273869, 3.9727302149683066, 3.9595991995766533, 3.9465500145775301, 3.9335806358149963, 3.9206978124793852, 3.9079200269301628, 3.8952815034283113, 3.8828376214610127, 3.8706722150947108, 3.8589074061671846, 3.8477168348421409, 3.8373434211170974, 3.8281231083570377, 3.8205163682351078, 3.8151494838088156, 3.8128675390820135, 3.8148001407630714, 3.822438243989672, 3.8377144044185263, 3.863066798343131, 3.9014464008876102, 3.9561954743187573, 4.0306907372000484, 4.1276331495751304, 4.2479366823285325, 4.3893931316613344, 4.5456601173112503, 4.7063915725519827, 4.8590548385728418, 4.9920002028971027, 5.0973562922089082, 5.1723479089332765, 5.218722499125044, 5.2410594691876025, 5.244988891296388, 5.2359280199915261, 5.218441487875487, 5.1960633720582914, 5.1713731316103813, 5.1461713972269534, 5.121669123538017, 5.0986522376096133, 5.0776111213137769, 5.0588367062691475, 5.0424892639939989, 5.0286464857925655, 5.0173365141694148, 5.0085603104975362, 5.0023065619623726, 4.9985613734452059, 4.9973142565699309, 4.9975249690042549, 4.9981572992471888, 4.9992118235884906, 5.000689494006946, 5.0025916251732507, 5.0049198757633881, 5.0076762235810177, 5.0108629338217758, 5.0144825196362515, 5.0185376939500319, 5.0230313112809242, 5.027966298043804, 5.0333455695573877, 5.0391719316441739, 5.0454479643620971, 5.0521758849883227, 5.0593573869184674, 5.0669934506146985, 5.0750841221476275, 5.0836282542157871, 5.0926232037924892, 5.1020644797506494, 5.1119453329444289, 5.1222562803134739, 5.1329845536322729, 5.1441134625982352, 5.1556216611024173, 5.1674823048391056, 5.1796620880188122, 5.1921201470281453, 5.2048068196780877, 5.2176622505220704, 5.2306148360388889, 5.2435795088130268, 5.2564558678950863, 5.2691261741285684, 5.2814532453603258, 5.2932783082010868, 5.3044188914680577, 5.3146668825992505, 5.3237869127421593, 5.3315152886735984, 5.3375597486171458, 5.3416003807164723, 5.3432921007696015, 5.3422691293587805, 5.3381519227949772, 5.3305569779667286, 5.3191098257169234, 5.3034613283043646, 5.2833070871215009, 5.2584093443965365, 5.2286202480989896, 5.1939047961633333, 5.154361273998437, 5.1102366671538872, 5.0619344971596956, 5.0100128961337624, 4.9551715422658136, 4.8982272620141121, 4.8400794952554804, 4.781668163616061, 4.7239275048242302, 4.6677399182748367, 4.6138937127393111, 4.5630479113190479, 4.5157061376425975, 4.4722003388218905, 4.4326839500150497, 4.3971332631700202, 4.3653553228472219, 4.3370006333531403, 4.3115792497579877, 4.2884793257772893, 4.2669877754611045, 4.246313248278013, 4.2256120048986956, 4.2040174148267466, 4.1806735988352184, 4.1547731664637588, 4.1255980697274621, 4.0925614165417432, 4.0552468773991919, 4.0134413888828666, 3.9671565558919144, 3.9166347575129956, 3.8623375486264235, 3.8049163151005025, 3.7451678025042545, 3.6839794639948562, 3.6222709866216531, 3.5609385376902476, 3.5008072624674558, 3.4425957165318772, 3.3868937503070282, 3.3341533796663723, 3.2846907170104402, 3.238696234673978, 3.196250438655059, 3.1573422876997639, 3.1218882095210145, 3.0897501729589911, 3.0607518517651569, 3.0346923947907705, 3.0113576741770571, 2.9905291218055763, 2.9719904040066942, 2.9555322497274439, 2.9409557614181603, 2.9280745202611103, 2.916715762646974, 2.9067208631231858, 2.8979453168120868, 2.8902583752063138, 2.8835424550876674, 2.8776924116504494, 2.8726147436000105, 2.8682267795166223, 2.8644558804426934, 2.8612386827640495, 2.8585203973486286, 2.8562541750032437, 2.854400544117786, 2.8529269234922099, 2.8518072114571278, 2.8510214512580125, 2.8505555720740339, 2.8504012048363494, 2.850555572074021, 2.8510214512579752, 2.8518072114571535, 2.8529269234921948, 2.8544005441177722, 2.8562541750032087, 2.8585203973486268, 2.8612386827640521, 2.8644558804427085, 2.8682267795166374, 2.8726147436000229, 2.8776924116504219, 2.8835424550876225, 2.8902583752062996, 2.8979453168120886, 2.9067208631231951, 2.9167157626469371, 2.9280745202610974, 2.9409557614181669, 2.9555322497274368, 2.9719904040066774, 2.9905291218055527, 3.0113576741770607, 3.0346923947907833, 3.0607518517651777, 3.0897501729589667, 3.121888209521043, 3.1573422876997896, 3.1962504386549977, 3.2386962346739709, 3.2846907170104553, 3.3341533796663829, 3.3868937503069847, 3.442595716531871, 3.500807262467422, 3.5609385376902782, 3.6222709866216665, 3.6839794639948473, 3.7451678025042625, 3.8049163151005008, 3.8623375486263583, 3.9166347575129703, 3.9671565558919011, 4.013441388882856, 4.0552468773991635, 4.0925614165417254, 4.1255980697274452, 4.154773166463742, 4.1806735988351944, 4.2040174148267182, 4.2256120048987187, 4.2463132482780166, 4.2669877754610965, 4.2884793257772316, 4.3115792497579735, 4.3370006333531155, 4.3653553228472974, 4.3971332631700788, 4.4326839500150577, 4.4722003388219003, 4.5157061376426375, 4.5630479113190967, 4.6138937127393023, 4.6677399182749051, 4.7239275048242142, 4.7816681636160876, 4.8400794952554573, 4.8982272620141627, 4.9551715422659131, 5.010012896133726, 5.0619344971597391, 5.1102366671538624, 5.1543612739984255, 5.1939047961633262, 5.2286202480990207, 5.2584093443965703, 5.2833070871215542, 5.3034613283043672, 5.3191098257169216, 5.330556977966733, 5.3381519227950109, 5.3422691293587814, 5.3432921007696015, 5.341600380716474, 5.3375597486171458, 5.3315152886736055, 5.3237869127421584, 5.3146668825992336, 5.3044188914680213, 5.2932783082010753, 5.2814532453603338, 5.2691261741285551, 5.2564558678950482, 5.2435795088130099, 5.230614836038912, 5.2176622505220642, 5.2048068196780255, 5.1921201470281249, 5.1796620880187518, 5.1674823048390754, 5.1556216611024226, 5.1441134625982334, 5.1329845536322418, 5.1222562803134624, 5.1119453329443916, 5.1020644797506369, 5.0926232037925487, 5.083628254215772, 5.075084122147687, 5.0669934506147269, 5.0593573869184905, 5.0521758849882987, 5.0454479643621308, 5.0391719316442618, 5.0333455695573708, 5.0279662980438573, 5.0230313112809153, 5.0185376939500381, 5.0144825196362603, 5.0108629338217696, 5.0076762235809973, 5.0049198757634166, 5.0025916251732081, 5.000689494006954, 4.9992118235885155, 4.9981572992472225, 4.9975249690042531, 4.9973142565698385, 4.9974196057451374, 4.9977356653699161, 4.9982624714715467, 4.9990000831929997, 4.9999485814320375, 5.0011080669201133, 5.0024786577247324, 5.004060486156253, 5.0058536950531094, 5.0078584334144329, 5.0100748513461761, 5.0125030942783582, 5.0151432964082545, 5.017995573315094, 5.0210600136894463, 5.0243366701102454, 5.0278255487973498, 5.0315265982594832, 5.0354396967497728, 5.0395646384309236, 5.0439011181478115, 5.0484487146892638, 5.0532068724162231, 5.0581748811218175, 5.0633518539756581, 5.0687367033965209, 5.0743281146831301, 5.0801245172234673, 5.0861240530867162, 5.0923245427929755, 5.0987234480420263, 5.1053178311693692, 5.1121043110868536, 5.1190790154540045, 5.1262375288174731, 5.133574836445395, 5.1410852635818705, 5.1487624098407325, 5.1565990784629072, 5.1645872001663777, 5.1727177513312252, 5.1809806662873417, 5.1893647434974586, 5.1978575454781266, 5.2064452923530933, 5.2151127490125067, 5.2238431059422963, 5.2326178539083683, 5.2414166528250119, 5.250217195313942, 5.2589950656741928, 5.2677235952356911, 5.2763737153712791, 5.2849138097909094, 5.2933095681484126, 5.301523843455862, 5.3095165163286548, 5.3172443696729195, 5.3246609780841174, 5.3317166169335453, 5.3383581968851326, 5.3445292303837979, 5.3501698374742075, 5.3552167991184074, 5.3596036669401297, 5.3632609389956336, 5.366116311684519, 5.3680950182129559, 5.3691202640104123, 5.3691137690995312, 5.3679964265163438, 5.3656890843778813, 5.3621134569928968, 5.357193167418977, 5.3508549200203941, 5.3430297968458804, 5.3336546660438922, 5.3226736841502547, 5.310039867090218, 5.2957166973899863, 5.2796797277473502, 5.261918134218428, 5.2424361663638432, 5.2212544373448813, 5.1984109947564674, 5.173962113486307, 5.1479827555268445, 5.1205666487346546, 5.0918259470517011, 5.0618904484646201, 5.0309063634303586, 4.9990346448411493, 4.966448909749599, 4.9333330018138044, 4.89987826044971, 4.8662805767645629, 4.8327373264578819, 4.7994442752688569, 4.7665925528586497, 4.7343657862898203, 4.7029374749562844, 4.672468675712258, 4.6431060511108218, 4.6149803162662657, 4.588205102115742, 4.5628762358932962, 4.5390714243747787, 4.5168503126006865, 4.4962548807789204, 4.4773101350607565, 4.4600250438214477, 4.4443936696952786, 4.4303964485397467, 4.4180015692536605, 4.4071664124782703, 4.3978390111726018, 4.3899595014675157, 4.3834615376873991, 4.3782736507158431, 4.3743205337566495, 4.3715242438798283, 4.3698053114694746, 4.3690837527996056, 4.3692799834751659, 4.3703156324422583, 4.3721142577732719, 4.3746019665342031, 4.3777079418404785, 4.3900820436750916, 4.4058422400474466, 4.4237468218300826, 4.4429091930195881, 4.462761826945651, 4.4829948615492858, 4.5034810480699088, 4.5241976892120359, 4.5451542330895602, 4.5663317719909289, 4.5876383652342341, 4.6088822235315421, 4.6297634147170417, 4.6498836636247134, 4.6687726898564783, 4.685928104217, 4.7008641715508563, 4.7131630830912581, 4.7225213605554615, 4.7287842463731771, 4.7319627199849741, 4.732230876219977, 4.7299050359225729, 4.7254091203206174, 4.7192326811350895, 4.7118882117320977, 4.7038732027041297, 4.695640445805199, 4.6875780007686325, 4.6799985205978398, 4.6731365185316003, 4.667151655763484, 4.66213609413313, 4.6581242086279824, 4.6551033271456612, 4.6530245449941559, 4.6518129856877311, 4.6513771244239432, 4.6516169585055902, 4.652430915209397, 4.6537214516157714, 4.6553993408320817, 4.6573866689005339, 4.6596185954974549, 4.6620439633564281, 4.6646248762036091, 4.6673354000463547, 4.6701595736831951, 4.6730889370012632, 4.6761197966971029, 4.6792504468426266, 4.6824785463900618, 4.6857988290586396, 4.689201285950042, 4.6926699211027323, 4.6961821383460505, 4.6997087771372996, 4.7032147777755862, 4.7066604240062286, 4.7100030844912748, 4.7131993543783315, 4.7162074843997184, 4.7189899774303825, 4.7215162308554737, 4.7237651067664466, 4.7257273198795327, 4.727407543746426, 4.7288261475087134, 4.7300204860989252, 4.7310456742997387, 4.7319747775443108, 4.7328983484435323, 4.7339232273979261, 4.7351705093511267, 4.7367725596907819, 4.7388689457366642, 4.7416011440055055, 4.7451058979914755, 4.7495071491548417, 4.7549065585584147, 4.7613727897337634, 4.7689299407990866, 4.7775457907196417, 4.7871208400261862, 4.7974794397268044, 4.8083645537994419, 4.8194378183890798, 4.8302864742470284, 4.840438408213557, 4.8493859331458005, 4.8566180985922651, 4.8616603309155, 4.864119143464718, 4.8637286209742783, 4.8603944413443401, 4.8542304393312543, 4.8455822949825587, 4.8350331148822772, 4.8233868322391587, 4.8116278006295587, 4.8008587029122145, 4.792223369419383, 4.7868250832936754, 4.7856529082190375, 4.7895273079323406, 4.7990716512684193, 4.814709155136919, 4.8366772480362776, 4.8650450467098141, 4.8997158035266306, 4.9403954768642144, 4.9865121374540973, 5.0370816602296191, 5.0905381144735786, 5.1445864871320062, 5.1961840090550995, 5.2417821266958793, 5.2779061071709377, 5.3019773147532732, 5.3130674364142578, 5.312205374886342, 5.3020643186235414, 5.2862051013959217, 5.2682530323006072, 5.2513126768031819, 5.2377102143853351, 5.2289834393706576, 5.2259844245066667, 5.2279884804388068, 5.2338793373871271, 5.2432815108182229, 5.2555345374632205, 5.2696550708094438, 5.2843133298934166, 5.2978536260427784, 5.3083904041279286, 5.3139985235863412, 5.3129847028720043, 5.3041833915320238, 5.2871877443237025, 5.2624319619804245, 5.2310923417917552, 5.1948451240909552, 5.1555678056306746, 5.1150729399107018, 5.0749288006451225, 5.0363774879851597, 5.0003305092007793, 4.9674108363243556, 4.9380135345062852, 4.9123660125247977, 4.8905779508792495, 4.8726775510198941, 4.8586346717521041, 4.8483733260037933, 4.8417766620474136, 4.838687512906553, 4.8389072042576879, 4.8421947423558205, 4.8482678530502374, 4.8568066745784977, 4.8674602801737752, 4.879855680536866, 4.8936085797489977, 4.9083349579481421, 4.9236625275819481, 4.939241227008365, 4.9547521266583354, 4.9699143740365122, 4.9844900458657788, 4.9982869742685292, 5.0111597516221513, 5.0230091935600729, 5.0337805604051375, 5.0434608189139647, 5.0520751847815557, 5.059683136461131, 5.0663740436303453, 5.0722625162884363, 5.0774835563970724, 5.082187583424119, 5.0865354059016648, 5.0906932193590091, 5.0948277220700362, 5.0991014491937232, 5.1036684288362268, 5.1086702571398641, 5.1142326719121876, 5.1204626752562659, 5.1274462162522223, 5.1352463970749591, 5.143902112597889, 5.1534269769821748, 5.1638083327212643, 5.1750060786769136, 5.1869509930058486, 5.1995421624716629, 5.2126430586464085, 5.2260757214995994, 5.2396124218622662, 5.2529640824273587, 5.2657646610148507, 5.2775506819925422, 5.2877352254969843, 5.2955761016930722, 5.3001389074978329, 5.3002575922629136, 5.2944986166073713, 5.2811404231788135, 5.2581881310384864, 5.2234533676055097, 5.1747374688403873, 5.1101545983999959, 5.0286059362131326, 4.9303533007242875, 4.8175433875243776, 4.6944449761734752, 4.5671653518496536, 4.4427778072229032, 4.3280750132920014, 4.2283822114886851, 4.1468432016115289, 4.0843411820119266, 4.039926610770082, 4.0114764316438034, 3.9963339074362465, 3.991790762856716, 3.9953811556848038, 4.0050191349554467, 4.0190305064516032, 4.0361249463408129, 4.0553408347241247, 4.075982325321637, 4.0975586551891432, 4.1197297767541219, 4.1422592366303954, 4.1649739308572098, 4.1877302363986324, 4.210386546299965, 4.2327829986605465, 4.2547297635863055, 4.2760052149520478, 4.2963643733548711, 4.3155562127226474, 4.3333463050709344, 4.3495397218347698, 4.3639989299810242, 4.3766528561107769, 4.387495808910173, 4.3965775369676479, 4.4039874377459549, 4.409836440122672, 4.4142395539029033, 4.4173010279017424, 4.4191029909316155, 4.4196976808122628], [5.3589460790258308, 5.3609343794456539, 5.3668226746796392, 5.3763569089973018, 5.3890367689382952, 5.4040163487445287, 5.4200042165360651, 5.4352132560163655, 5.4474254544750735, 5.4542256231809016, 5.4534018461470941, 5.443417974648427, 5.4237891827185267, 5.395205217474178, 5.3593600385076643, 5.3185853424602092, 5.2754519614540927, 5.23246948027891, 5.1919299690081129, 5.155869400405976, 5.1260877305423422, 5.1041693498144536, 5.0914628681384713, 5.0890015190975699, 5.0973686933692477, 5.1165357070391755, 5.1457173383288266, 5.1832982361880262, 5.2268734485932331, 5.273418428665603, 5.3195669187321863, 5.3619445206741725, 5.3974944379384562, 5.423742171995495, 5.4389692886709513, 5.442290199442005, 5.4336417204295415, 5.4137017179134315, 5.3837542315991564, 5.3455185957214066, 5.300961317559989, 5.2521109350286057, 5.2008955000096551, 5.1490182024177393, 5.0978793686252661, 5.048544685265659, 5.0017524563325271, 4.957948610701532, 4.9173373265814906, 4.8799367594823329, 4.8456322506821277, 4.8142224751670319, 4.7854565779821483, 4.7590621725668232, 4.7347651499831898, 4.7123027343122512, 4.6914313122155979, 4.6719304339320864, 4.6536041522863094, 4.6362806133269823, 4.6198105790381971, 4.60406536728589, 4.5889345407172639, 4.5743235613638475, 4.5601515448745777, 4.5463491907490425, 4.5328569263979084, 4.519623278161216, 4.5066034675489277, 4.4937582229388875, 4.481052793634043, 4.4684561530762164, 4.4559403801739572, 4.4434802115706011, 4.4310527629921017, 4.4186374245622551, 4.4062159433754262, 4.3937727170907497, 4.3812953355364108, 4.3687754242223411, 4.3562098655431845, 4.3436025020185127, 4.330966463382997, 4.3183273085344407, 4.3057272377188873, 4.2932307138468646, 4.2809319384822482, 4.2689647606331746, 4.2575157539454178, 4.2468413698398706, 4.2372902302373792, 4.2293316941505656, 4.2235916749576692, 4.2208960295120557, 4.2223202109658571, 4.2292405078327429, 4.2433760013247257, 4.2668002010141279, 4.3018868422220917, 4.3511383081596149, 4.4168373483448002, 4.5004837736329071, 4.6020553082894207, 4.7192764464138213, 4.8472375777053021, 4.9787360197446526, 5.1054665179755361, 5.2197267155534792, 5.3159531677826326, 5.3914866212566821, 5.4464210290926971, 5.4828362004747788, 5.5038618599264897, 5.5128983805763259, 5.5131166770956357, 5.5072153300606903, 5.4973559126405975, 5.4851977224967703, 5.4719752564381858, 5.4585850254639459, 5.4456652929181093, 5.433662572736579, 5.4228840605431996, 5.4135375090481448, 5.4057607901191425, 5.3996433546454643, 5.3952414668021742, 5.3925886758133359, 5.3917025911266911, 5.3918602191250367, 5.3923330800767024, 5.393121101514379, 5.3942241514757141, 5.3956420215251208, 5.3973744025723223, 5.3994208530707901, 5.401780759046753, 5.404453285273572, 5.407437316757683, 5.4107313895446989, 5.414333609681643, 5.4182415589877584, 5.4224521860811814, 5.4269616808969818, 5.4317653306911771, 5.4368573552809183, 5.4422307190021648, 5.4478769165926195, 5.4537857299253725, 5.4599449522389696, 5.4663400762488985, 5.4729539422902249, 5.4797663424703948, 5.4867535767253601, 5.4938879567213288, 5.5011372537858332, 5.5084640875589699, 5.5158252529248202, 5.5231709841335341, 5.5304441570076142, 5.5375794329170951, 5.5445023520245487, 5.5511283883853686, 5.55736198611097, 5.5630956042472759, 5.5682088085521269, 5.5725674611896725, 5.5760230745898633, 5.5784124132351662, 5.579557446487879, 5.5792657758359718, 5.577331679515293, 5.573537933902565, 5.5676585808866124, 5.559462809001011, 5.5487200978042788, 5.5352067334990043, 5.5187137328596805, 5.4990561073190545, 5.4760832578304406, 5.4496901175166856, 5.4198284643405028, 5.3865176304363818, 5.3498536678852613, 5.3100159289351954, 5.267270019651531, 5.2219662203521136, 5.1745327477330765, 5.1254636505426356, 5.0753016414649981, 5.024616704381959, 4.97398179499592, 4.9239472932037271, 4.8750160089955159, 4.827620468565355, 4.7821039351188386, 4.7387062077390478, 4.6975547714603234, 4.6586614240457749, 4.6219241452364752, 4.587133739454555, 4.5539846778525455, 4.5220895660780931, 4.4909967255433081, 4.4602104439083181, 4.4292134717088825, 4.3974912751456712, 4.3645573798331148, 4.3299788658347049, 4.2934007435212846, 4.2545676282421319, 4.2133409373784154, 4.169709855560634, 4.1237946249148347, 4.0758413325113709, 4.0262082259455356, 3.9753445552371423, 3.923763833602135, 3.8720140507438048, 3.8206476322594116, 3.7701937784167967, 3.7211352920154441, 3.673891248851616, 3.6288060373167497, 3.5861445443910536, 3.5460926967796205, 3.5087622231579241, 3.474198379092452, 3.4423894272649327, 3.413276833476349, 3.386765365482503, 3.362732519920236, 3.3410369203396031, 3.3215255091432647, 3.3040394921120431, 3.2884190879961448, 3.2745071935473673, 3.262152104187003, 3.2512094400327891, 3.2415434230141376, 3.2330276386911896, 3.2255454001497661, 3.2189898137299906, 3.2132636291353753, 3.20827894068311, 3.2039567926046852, 3.2002267295441595, 3.1970263236743026, 3.1943007019863034, 3.1920020910716431, 3.1900893918645354, 3.1885277931082241, 3.1872884295395054, 3.1863480887579585, 3.1856889693049673, 3.1852984914842581, 3.1851691618011539, 3.1852984914842417, 3.1856889693049273, 3.1863480887579843, 3.1872884295394872, 3.188527793108209, 3.1900893918645039, 3.1920020910716409, 3.1943007019863079, 3.1970263236743222, 3.2002267295441733, 3.2039567926046977, 3.2082789406830798, 3.2132636291353305, 3.2189898137299773, 3.2255454001497705, 3.2330276386912002, 3.2415434230140998, 3.2512094400327731, 3.2621521041870123, 3.2745071935473629, 3.2884190879961266, 3.3040394921120191, 3.3215255091432669, 3.3410369203396115, 3.3627325199202547, 3.3867653654824785, 3.4132768334763788, 3.4423894272649491, 3.4741983790923929, 3.5087622231579276, 3.5460926967796342, 3.5861445443910669, 3.6288060373167159, 3.673891248851616, 3.721135292015413, 3.7701937784168216, 3.8206476322594223, 3.8720140507437999, 3.9237638336021456, 3.9753445552371436, 4.0262082259454761, 4.0758413325113478, 4.1237946249148267, 4.169709855560626, 4.2133409373783914, 4.2545676282421176, 4.293400743521274, 4.3299788658346854, 4.3645573798330908, 4.3974912751456303, 4.4292134717089056, 4.4602104439083279, 4.490996725543309, 4.5220895660780274, 4.5539846778525357, 4.5871337394545355, 4.6219241452365383, 4.6586614240458291, 4.6975547714603314, 4.7387062077390514, 4.7821039351188634, 4.8276204685653932, 4.875016008995499, 4.9239472932037849, 4.9739817949959066, 5.0246167043819856, 5.0753016414649741, 5.1254636505426721, 5.1745327477331573, 5.2219662203520789, 5.2672700196515674, 5.3100159289351723, 5.349853667885248, 5.3865176304363809, 5.4198284643405339, 5.4496901175167203, 5.4760832578304939, 5.4990561073190527, 5.5187137328596902, 5.5352067334990123, 5.5487200978043099, 5.5594628090010252, 5.5676585808866355, 5.5735379339025855, 5.5773316795152965, 5.5792657758359736, 5.5795574464878896, 5.5784124132351645, 5.5760230745898482, 5.5725674611896681, 5.5682088085521393, 5.5630956042472768, 5.5573619861109478, 5.5511283883853713, 5.5445023520245629, 5.5375794329170978, 5.5304441570075786, 5.5231709841335217, 5.5158252529247758, 5.508464087558953, 5.5011372537858403, 5.4938879567213297, 5.486753576725345, 5.4797663424703895, 5.4729539422902045, 5.4663400762488861, 5.4599449522390202, 5.4537857299253609, 5.4478769165926693, 5.4422307190021906, 5.4368573552809325, 5.4317653306911549, 5.4269616808970076, 5.4224521860812498, 5.4182415589877442, 5.4143336096816874, 5.4107313895446971, 5.4074373167576901, 5.4044532852735863, 5.4017807590467486, 5.3994208530707768, 5.397374402572348, 5.3956420215250862, 5.3942241514757292, 5.393121101514402, 5.3923330800767397, 5.3918602191250367, 5.3917025911266157, 5.3917814039634573, 5.3920178171863444, 5.3924117546378394, 5.3929630884033868, 5.3936716373282811, 5.3945371649300213, 5.3955593766943055, 5.3967379167416212, 5.398072363845805, 5.3995622267829537, 5.4012069389873743, 5.4030058524852969, 5.4049582310759696, 5.4070632427232601, 5.4093199511205832, 5.4117273063852185, 5.4142841348358521, 5.4169891278026707, 5.4198408294160068, 5.4228376233136064, 5.4259777182067515, 5.4292591322357664, 5.432679676046364, 5.4362369345128245, 5.4399282470291865, 5.4437506862885714, 5.4477010354656397, 5.4517757637172171, 5.4559709999109076, 5.4602825044935193, 5.4647056394096118, 5.4692353359812218, 5.4738660606627381, 5.4785917785890268, 5.4834059148419936, 5.4883013133671303, 5.49327019348656, 5.4983041039672971, 5.5033938746249476, 5.5085295654652375, 5.5137004133952923, 5.5188947765742871, 5.5241000765114983, 5.5293027380752662, 5.5344881276323088, 5.5396404896101741, 5.5447428818547397, 5.5497771102502238, 5.5547236631771151, 5.5595616465060917, 5.5642687199656935, 5.5688210358763781, 5.5731931814188513, 5.5773581257943663, 5.5812871738451264, 5.5849499279276689, 5.5883142600739033, 5.591346296725983, 5.5940104185949604, 5.5962692784537618, 5.598083839936133, 5.5994134406560656, 5.6002158831801934, 5.6004475575627506, 5.6000635992696539, 5.5990180863601831, 5.5972642797313199, 5.5947549100448626, 5.5914425146147968, 5.5872798270138979, 5.5822202214281118, 5.5762182128266788, 5.5692300128015253, 5.5612141394480412, 5.5521320779073466, 5.541948986178884, 5.5306344385671657, 5.5181631966923925, 5.5045159954437928, 5.4896803286767311, 5.4736512169657328, 5.4564319374661636, 5.4380346940605548, 5.4184812046394182, 5.3978031817549077, 5.3760426831520105, 5.3532523099417979, 5.3294952325440228, 5.3048450280063726, 5.2793853168928049, 5.2532091934981571, 5.2264184495257977, 5.1991225982795024, 5.1714377135681158, 5.1434851045270928, 5.1153898540403526, 5.087279254031464, 5.0592811752441156, 5.0315224119847697, 5.0041270434769816, 4.9772148529096381, 4.9508998429854243, 4.9252888829503414, 4.9004805169416459, 4.8765639573506654, 4.853618280118277, 4.8317118318359782, 4.8109018515720914, 4.7912343038174523, 4.7727439130968223, 4.7554543858341694, 4.7393788011042144, 4.7245201490119646, 4.7108719935889773, 4.6984192362298547, 4.6871389556884226, 4.6770013013957827, 4.6679704181874833, 4.6600053823000414, 4.6530611305685774, 4.6470893670085598, 4.6420394332818207, 4.6378591318515108, 4.6344954928507569, 4.6318954777792101, 4.6300066150759829, 4.6287775643675744, 4.6281586077628445, 4.6294977373936641, 4.6347675474630563, 4.6430605357496528, 4.6537163756563942, 4.6662989608237959, 4.6805524404445649, 4.6963467623167627, 4.7136213368208155, 4.7323330547024316, 4.7524126076950033, 4.773731262096879, 4.7960790652804848, 4.8191548384182603, 4.842567982294355, 4.8658517943388873, 4.8884874066772399, 4.909936491257481, 4.9296796317103464, 4.947256040144743, 4.9622995411000828, 4.9745658612123691, 4.9839474313809902, 4.9904739565936875, 4.9942994406620018, 4.9956785294118697, 4.9949364223950923, 4.9924369598316121, 4.9885529146789276, 4.9836413435731011, 4.9780254815512066, 4.971983439091999, 4.9657430672031868, 4.9594818443824229, 4.9533304558769355, 4.9473787828975615, 4.9416831965759185, 4.9362742786386358, 4.9311643162765124, 4.9263541160385804, 4.9218388423763031, 4.9176127127969433, 4.9136724800175529, 4.9100197090479965, 4.9066619191787204, 4.9036127104906235, 4.9008910328465749, 4.8985197821957627, 4.8965239239043541, 4.8949283455636792, 4.8937556329978662, 4.8930239446122572, 4.8927451331665059, 4.8929232333111274, 4.893553400552956, 4.8946213551163202, 4.8961033542223227, 4.897966689725596, 4.9001706853031921, 4.9026681484873942, 4.9054072175059416, 4.9083335307455735, 4.91139263733898, 4.9145325605866983, 4.9177064214401884, 4.9208750268546648, 4.9240093271347911, 4.9270926469628735, 4.9301225959142343, 4.9331125650835954, 4.9360927160733734, 4.9391103663134635, 4.9422296702478246, 4.9455304899195607, 4.9491063427195483, 4.9530613119013438, 4.9575058120809006, 4.9625511242704476, 4.9683026613273498, 4.9748520035929458, 4.9822678630113604, 4.9905862951061044, 4.9998006775809731, 5.009852197466687, 5.0206218090212218, 5.0319248039238955, 5.0435092285355241, 5.0550593461633646, 5.0662051433825317, 5.0765385083544325, 5.0856361820448601, 5.0930889388692648, 5.098535739880778, 5.1017008618887774, 5.1024312698002134, 5.1007307963573005, 5.0967870876583152, 5.0909869115580442, 5.083915567556506, 5.0763371140868605, 5.0691542129192602, 5.0633495655244705, 5.0599146686574841, 5.059774896901728, 5.0637214218948854, 5.0723591962775734, 5.0860760342292126, 5.1050316769397357, 5.1291594048746862, 5.1581681895879754, 5.1915322016658836, 5.2284580337122764, 5.2678295734838017, 5.3081471427931275, 5.3475000676415352, 5.3836322416101643, 5.4141597347868267, 5.4369544596936441, 5.4506147488100209, 5.4548492390926686, 5.4505895871215095, 5.4397627655585126, 5.4248255867572395, 5.4082636648118436, 5.3922252582129628, 5.3783518569698412, 5.3677715038898475, 5.3611806888675027, 5.3589460790258308, 5.3604376512712086, 5.3648605220606598, 5.3720515967280553, 5.3817151610030249, 5.3933919567569948, 5.4064268053431208, 5.4199474335255324, 5.4328710300711283, 5.4439553587009772, 5.4519043550751398, 5.4555221908870131, 5.4538881935577477, 5.4465077290208885, 5.4333932390308384, 5.4150499254384004, 5.3923735492379485, 5.3664961015881456, 5.3386250851458561, 5.30991278206118, 5.2813726165882215, 5.2538416871186104, 5.2279779214408642, 5.2042774478320091, 5.1830999035030452, 5.1646934500079595, 5.149215211886359, 5.1367458301111082, 5.1272986944672461, 5.1208253779331034, 5.1172190985574506, 5.1163179032301542, 5.117908874686572, 5.1217341412454411, 5.1274989263653055, 5.1348813993117242, 5.1435437411668357, 5.1531436533619637, 5.1633455076340997, 5.1738304379929829, 5.1843048611611628, 5.1945071319088285, 5.2042122502926045, 5.2132347089641264, 5.2214296856985181, 5.2286928477680084, 5.2349590487676556, 5.2402001778986023, 5.2444223805226606, 5.2476628195728798, 5.249986099853432, 5.2514804379046076, 5.252253632400139, 5.2524288749028054, 5.2521404371253491, 5.2515292761005306, 5.2507386093842037, 5.2499095246855454, 5.249176698214769, 5.2486643000749416, 5.2484821605052536, 5.2487222560805495, 5.2494555496762629, 5.2507291828758209, 5.2525639762614276, 5.2549521440752436, 5.2578550777245594, 5.2612010001485343, 5.2648822426082473, 5.268751849472002, 5.2726191782085623, 5.2762441363059276, 5.279329693813092, 5.2815123473021925, 5.2823503192942081, 5.2813095084906365, 5.2777476425684355, 5.2708978481558999, 5.259854105138615, 5.2435629810286297, 5.2208287854485196, 5.1903427676850562, 5.150750578158906, 5.1007742526793667, 5.0394022209190679, 4.9661485768451756, 4.8813567539510201, 4.7864837070599746, 4.6842616277545943, 4.5786226587301533, 4.4743182647720294, 4.3762730088833859, 4.2888368017375154, 4.2151623407889174, 4.1568865357699503, 4.114163999061323, 4.0859695688000732, 4.0705229886579177, 4.0657017046962771, 4.0693623425791401, 4.0795476368653363, 4.0945920525981565, 4.1131540325729921, 4.1342029620678975, 4.1569825944668715, 4.180965135463703, 4.2058039086794281, 4.2312881877284187, 4.2573012274968578, 4.2837813824407327, 4.3106861038604514, 4.3379592559920575, 4.3655032583154005, 4.3931586194324588, 4.4206939283141837, 4.447808779657378, 4.4741501968661064, 4.4993402272716452, 4.5230094903052773, 4.544829777421123, 4.5645391438000011, 4.5819552049072021, 4.596975604775718, 4.609567603987669, 4.6197505429079104, 4.627575347453134, 4.6331046084940484, 4.636395659899776, 4.6374880036984027], [5.4266783115818251, 5.4280061218934605, 5.4319730943256603, 5.4385143029934895, 5.4474708622464929, 5.4585191329880347, 5.4710859501551869, 5.4842718274519626, 5.4968162855479328, 5.507145720501482, 5.5135330598951109, 5.5143621352260768, 5.5084372638589514, 5.4952403751319752, 5.4750471105377478, 5.448872587905309, 5.4182899063803829, 5.3852038659219401, 5.3516525450942076, 5.3196695529707183, 5.2911997847464418, 5.2680391318047217, 5.2517659827616026, 5.2436439146861584, 5.2444941929811488, 5.2545577096491209, 5.2733824811231589, 5.2997780376031498, 5.3318675232335666, 5.3672438534733216, 5.4032069677277956, 5.437037501012119, 5.4662566513655868, 5.4888325749747144, 5.5033128214218836, 5.5088808419014956, 5.5053466069170289, 5.4930860698183963, 5.4729442103269861, 5.4461149200683554, 5.4140099906974886, 5.3781291274515919, 5.3399423308070944, 5.3007941861488215, 5.2618362775972729, 5.2239896479062775, 5.1879350057995381, 5.1541252218964022, 5.1228130788416948, 5.0940872165586679, 5.0679103092694744, 5.0441551584944317, 5.0226360908247161, 5.0031344929725003, 4.9854183640478702, 4.9692564148312686, 4.9544275676647977, 4.9407268038415797, 4.9279682569251548, 4.9159863294304325, 4.9046354638106635, 4.8937890549509735, 4.8833378647969381, 4.8731881957679439, 4.8632599983972478, 4.8534850277589952, 4.8438051192331741, 4.834170623496556, 4.8245390201635336, 4.8148737166392443, 4.8051430314677797, 4.7953193582660329, 4.7853785061742, 4.7752992149534572, 4.765062847044498, 4.7546532649527764, 4.7440569103758721, 4.7332631118665009, 4.7222646611182499, 4.711058714986823, 4.6996481022305048, 4.6880431420939033, 4.6762641180121332, 4.6643445959085836, 4.6523358349103274, 4.6403126105777783, 4.6283808573607992, 4.6166876351001109, 4.6054340242216858, 4.5948916325841402, 4.5854234058638177, 4.5775092823179255, 4.5717767617019085, 4.5690354032678009, 4.5703122314433307, 4.5768814888701632, 4.5902766289498009, 4.6122648242232032, 4.6447559144204309, 4.6896128845843457, 4.74833827870237, 4.8216424007460432, 4.9089623620754699, 5.0080828710865815, 5.1150614765228024, 5.2246133164714408, 5.3309356019087462, 5.4287291829984152, 5.5140592744766384, 5.5847835178583862, 5.6404963652136102, 5.6821353218782846, 5.7114640780180856, 5.7306023962332731, 5.7416847177425785, 5.7466570259933407, 5.7471839107651856, 5.74462838312673, 5.7400722924774517, 5.7343549002448864, 5.728116062400666, 5.7218369098721586, 5.7158749570116916, 5.7104928310296872, 5.7058809326029571, 5.7021747870619999, 5.6994679377141697, 5.6978211520609223, 5.697268558188374, 5.6973737227045582, 5.6976890476677982, 5.698214024019002, 5.6989477922739527, 5.6998891258020246, 5.7010364071274777, 5.7023875969636517, 5.7039401956012963, 5.7056911961839072, 5.7076370293096579, 5.7097734983030719, 5.7120957044001353, 5.7145979609884083, 5.7172736959360604, 5.7201153409411996, 5.7231142067210943, 5.7262603427623748, 5.7295423802526804, 5.7329473567311577, 5.7364605209271504, 5.7400651162162006, 5.743742141123878, 5.7474700853571123, 5.7512246399713289, 5.7549783805017221, 5.7587004222352602, 5.7623560473096669, 5.7659063040419332, 5.7693075798633986, 5.7725111505319893, 5.7754627099787292, 5.7781018872985923, 5.7803617601055839, 5.7821683768227885, 5.7834403045520846, 5.7840882240354459, 5.7840145989115133, 5.7831134529731125, 5.7812702963438936, 5.7783622491939504, 5.7742584194219102, 5.7688205980442469, 5.7619043419820928, 5.7533605173341815, 5.7430373755559492, 5.7307832283728679, 5.7164497726591303, 5.6998960917478767, 5.6809933227820366, 5.6596299295068748, 5.6357174563276349, 5.6091965643811736, 5.5800430682055371, 5.5482736097140064, 5.5139505349816629, 5.4771854916186369, 5.4381412539886789, 5.397031322655069, 5.3541169414226166, 5.309701331238629, 5.2641211466448548, 5.2177353990204329, 5.17091233457126, 5.1240149723981432, 5.0773861685792347, 5.0313341527713469, 4.9861194733018435, 4.9419441884619202, 4.8989439726314226, 4.8571835921797968, 4.8166559773148485, 4.7772848986070775, 4.7389310691511382, 4.7014013429914527, 4.6644605650741333, 4.6278455377811216, 4.5912804914550298, 4.5544933710056643, 4.5172321743758133, 4.4792805078875197, 4.440471475050785, 4.4006990135771895, 4.3599258660693367, 4.3181875328787118, 4.2755918161379407, 4.2323139067112283, 4.1885873538666951, 4.1446916374163045, 4.1009373747155085, 4.0576503890923519, 4.0151559113972866, 3.9737640797500839, 3.9337576693051326, 3.8953826694935119, 3.8588419850097737, 3.8242922195280156, 3.7918432456011808, 3.7615600907779547, 3.7334665818675798, 3.7075501763168814, 3.6837674537688607, 3.6620498213486599, 3.642309083873295, 3.6244426296908698, 3.6083380736989703, 3.5938772753192296, 3.5809397085399235, 3.569405203939811, 3.5591561107942558, 3.5500789436153184, 3.5420655846066542, 3.5350141141354929, 3.5288293376414952, 3.5234230711594612, 3.5187142401330354, 3.5146288383468653, 3.5110997862074509, 3.5080667206147944, 3.5054757424723415, 3.5032791425496677, 3.5014351219232349, 3.4999075195205083, 3.4986655562927602, 3.497683603153078, 3.4969409779365934, 3.4964217751848734, 3.4961147314388525, 3.4960131278722586, 3.496114731438837, 3.4964217751848325, 3.4969409779366205, 3.4976836031530616, 3.4986655562927451, 3.4999075195204767, 3.5014351219232345, 3.503279142549673, 3.5054757424723593, 3.5080667206148077, 3.5110997862074642, 3.514628838346836, 3.5187142401329932, 3.5234230711594492, 3.5288293376414988, 3.5350141141355054, 3.5420655846066191, 3.550078943615302, 3.5591561107942664, 3.5694052039398088, 3.5809397085399035, 3.5938772753192127, 3.6083380736989725, 3.6244426296908809, 3.6423090838733132, 3.662049821348635, 3.6837674537688909, 3.7075501763168952, 3.7334665818675257, 3.7615600907779601, 3.7918432456011897, 3.8242922195280276, 3.8588419850097475, 3.8953826694935119, 3.9337576693051051, 3.9737640797501026, 4.0151559113972928, 4.057650389092351, 4.10093737471552, 4.1446916374163107, 4.1885873538666445, 4.2323139067112097, 4.2755918161379372, 4.3181875328787056, 4.359925866069319, 4.400699013577178, 4.4404714750507734, 4.4792805078874984, 4.5172321743757937, 4.5544933710056181, 4.5912804914550547, 4.6278455377811349, 4.6644605650741404, 4.7014013429913817, 4.7389310691511284, 4.7772848986070677, 4.8166559773149036, 4.8571835921798465, 4.8989439726314314, 4.9419441884619202, 4.986119473301863, 5.0313341527713735, 5.0773861685792134, 5.1240149723981956, 5.1709123345712458, 5.2177353990204516, 5.2641211466448308, 5.3097013312386592, 5.3541169414226815, 5.3970313226550424, 5.4381412539887064, 5.4771854916186138, 5.5139505349816469, 5.5482736097140011, 5.5800430682055646, 5.609196564381203, 5.6357174563276846, 5.6596299295068695, 5.6809933227820402, 5.6998960917478829, 5.7164497726591614, 5.7307832283728875, 5.7430373755559767, 5.7533605173342082, 5.7619043419821017, 5.7688205980442513, 5.7742584194219191, 5.778362249193953, 5.7812702963438936, 5.7831134529731143, 5.7840145989115301, 5.7840882240354627, 5.7834403045520713, 5.7821683768228018, 5.7803617601055963, 5.7781018872986003, 5.7754627099787177, 5.7725111505319884, 5.7693075798633684, 5.7659063040419269, 5.7623560473096846, 5.7587004222352638, 5.7549783805017114, 5.7512246399713272, 5.747470085357099, 5.7437421411238665, 5.7400651162162442, 5.7364605209271398, 5.7329473567311968, 5.7295423802526981, 5.7262603427623802, 5.7231142067210836, 5.7201153409412191, 5.717273695936111, 5.714597960988395, 5.7120957044001779, 5.7097734983030657, 5.707637029309657, 5.7056911961839223, 5.7039401956012883, 5.7023875969636482, 5.701036407127499, 5.6998891258019997, 5.6989477922739722, 5.6982140240190224, 5.697689047667823, 5.6973737227045582, 5.6972685581883171, 5.6973211435494839, 5.6974788527620843, 5.6977415449544679, 5.6981089844749535, 5.6985808395908117, 5.6991566806602023, 5.6998359777700163, 5.7006180978326242, 5.7015023011305797, 5.702487737296873, 5.703573440717963, 5.704758325342973, 5.7060411788826757, 5.707420656377705, 5.7088952731167755, 5.710463396881277, 5.7121232394927173, 5.7138728476371812, 5.7157100929404514, 5.7176326612644361, 5.7196380411978431, 5.7217235117086442, 5.7238861289292684, 5.7261227120433968, 5.7284298282428274, 5.7308037767248869, 5.7332405716999206, 5.7357359243826176, 5.7382852239396867, 5.7408835173727359, 5.7435254883174434, 5.7462054347453044, 5.7489172455608042, 5.7516543760942218, 5.7544098225006035, 5.7571760950840742, 5.7599451905827381, 5.7627085634625015, 5.7654570962876353, 5.7681810692557951, 5.7708701290094631, 5.7735132568647805, 5.7760987366274277, 5.7786141222042096, 5.7810462052566791, 5.7833809831904963, 5.7856036278234511, 5.7876984551316912, 5.7896488965362032, 5.7914374722587469, 5.7930457673512805, 5.7944544110817597, 5.7956430604460154, 5.79659038866488, 5.7972740796220394, 5.7976708292951384, 5.7977563553339708, 5.7975054160378576, 5.7968918400834184, 5.795888568442618, 5.7944677100141391, 5.79260061255696, 5.7902579505629861, 5.7874098317268654, 5.7840259236594589, 5.780075602440645, 5.7755281245052741, 5.7703528231993602, 5.7645193311172518, 5.7579978290318259, 5.7507593218443942, 5.742775941506209, 5.7340212762926956, 5.7244707251407876, 5.7141018749908845, 5.7028948982139891, 5.6908329662607011, 5.6779026746576511, 5.6640944734250933, 5.6494030959255115, 5.633827978114855, 5.6173736592033396, 5.6000501538908907, 5.5818732856810351, 5.5628649703524164, 5.5430534385433869, 5.5224733866239921, 5.5011660456521794, 5.4791791592527588, 5.4565668627502495, 5.4333894578086062, 5.4097130791706149, 5.3856092527734578, 5.3611543474817012, 5.3364289258122053, 5.3115170022036224, 5.2865052204758438, 5.2614819649829947, 5.2365364224515032, 5.2117576134816312, 5.1872334140722032, 5.1630495882194944, 5.1392888526060077, 5.1160299936182758, 5.0933470554504892, 5.0713086159333498, 5.0499771640712021, 5.0294085901985861, 5.0096517963303837, 4.9907484308126646, 4.9727327479408823, 4.9556315899255097, 4.9394644855788403, 4.9242438574541598, 4.9099753269740898, 4.8966581053654457, 4.8842854570073806, 4.8728452210767026, 4.8623203771243659, 4.8526896403910964, 4.8439280732193915, 4.8360076997772889, 4.8288981124194006, 4.8225670593023686, 4.816981004286121, 4.81210565163589, 4.8079064295341523, 4.8043489278831126, 4.7971928839848514, 4.7946608231015002, 4.796025186905327, 4.8007073693028168, 4.8082752194173048, 4.8184218477150811, 4.8309337957415011, 4.8456552548019953, 4.8624531868979908, 4.8811864558117204, 4.9016807314854587, 4.9237100833384968, 4.9469857588162229, 4.9711524826046523, 4.995792501989218, 5.0204373554492783, 5.0445868343610387, 5.067733832348214, 5.0893928565818074, 5.1091291484336017, 5.1265849133945558, 5.141499320653895, 5.1537197682180658, 5.163203274574772, 5.1700084311087187, 5.1742797459976728, 5.1762271194515028, 5.1761034722333417, 5.1741832543430757, 5.1707438741684619, 5.1660512437218378, 5.1603498353898756, 5.1538570182757226, 5.146761035980985, 5.1392217898648722, 5.131373556302937, 5.1233288378278248, 5.1151826769241122, 5.1070169111443349, 5.0989039959600309, 5.0909101549585554, 5.0830977304591967, 5.0755267002216513, 5.0682553984141343, 5.0613405327618635, 5.0548366263379965, 5.0487950333907214, 5.0432626857644252, 5.0382807220470136, 5.033883138081646, 5.0300955776568106, 5.0269343587489956, 5.0244058060983363, 5.0225059371179848, 5.021220526546248, 5.0205255565762332, 5.0203880436152906, 5.0207672200787954, 5.0216160391907998, 5.0228829620444282, 5.0245139785813899, 5.0264548072429101, 5.0286532115165192, 5.0310613653013405, 5.0336381928784402, 5.0363516032651789, 5.0391805328207004, 5.0421167040680217, 5.0451660027455949, 5.0483493691268784, 5.051703093964055, 5.0552784048290569, 5.0591402267052672, 5.0633650039775011, 5.068037483150734, 5.0732463814460864, 5.0790789113130677, 5.0856142002113502, 5.0929157427067615, 5.1010231488248037, 5.1099436044277091, 5.1196436249884583, 5.1300418446885852, 5.1410037125941876, 5.1523390373593312, 5.1638033036783826, 5.1751035579002389, 5.1859094210098942, 5.1958694448228, 5.204632604877542, 5.2118742485749978, 5.2173253103648189, 5.2208030742725757, 5.2222412055121969, 5.2217161970734542, 5.2194668426835991, 5.2159030016329488, 5.2116000148251382, 5.2072759764130323, 5.2037509047249415, 5.201889668376027, 5.2025338419442084, 5.2064305555166825, 5.2141677122790115, 5.2261238113595017, 5.2424369725009452, 5.2629925965830653, 5.2874241870414513, 5.3151191836716851, 5.3452228154323294, 5.3766387700329608, 5.4080355293632048, 5.4378790997560982, 5.4645207284377948, 5.4863625742097435, 5.5020965951857894, 5.5109653836623558, 5.5129530818005366, 5.5088167130821741, 5.4999285367843935, 5.487985927881236, 5.4746982369605606, 5.4615490961673743, 5.4496779779752744, 5.4398695476907939, 5.4326104098308559, 5.4281705664377116, 5.4266783115818251, 5.4276735939259941, 5.4306411289400911, 5.4355212945357918, 5.4421995477133018, 5.4504854059631178, 5.4600870804218937, 5.4705869430335898, 5.4814254285375599, 5.4919027961947053, 5.5012078879923907, 5.5084789679287232, 5.5128933052921827, 5.5137712140612463, 5.5106713893247425, 5.503452971193644, 5.49228823183961, 5.4776250156039419, 5.460112864393901, 5.4405145347795383, 5.4196233705077201, 5.3981995601370745, 5.3769294248639214, 5.3564051557645227, 5.3371191324367118, 5.3194665813778101, 5.3037516428190727, 5.2901937848377303, 5.2789332236705686, 5.2700352613451056, 5.2634941728146085, 5.2592375309418342, 5.2571317670370519, 5.2569894584803416, 5.2585784383874854, 5.2616324416721074, 5.2658627144180317, 5.2709698606499664, 5.2766551877920298, 5.2826309154276725, 5.2886287899659363, 5.2944068545007692, 5.2997543187992964, 5.3044946318343698, 5.3084869656504221, 5.3116263739198679, 5.3138428989956461, 5.3150998795490825, 5.3153916697955292, 5.3147409322682826, 5.3131956179740456, 5.3108257066135991, 5.3077197488214161, 5.3039812333604388, 5.299724794493109, 5.2950722766905098, 5.2901486828904796, 5.2850780455635, 5.2799792735012323, 5.274962038167506, 5.2701227686618628, 5.2655408215312125, 5.2612748794647102, 5.2573596110673622, 5.2538025933477108, 5.2505814612901105, 5.2476412078530412, 5.2448915166198047, 5.2422039724320619, 5.2394089677007463, 5.2362921099507673, 5.2325899479129276, 5.2279848812723548, 5.2220992211930746, 5.2144885520453554, 5.2046348483694818, 5.1919402777265251, 5.1757233336507351, 5.1552199557572349, 5.1295936330411296, 5.0979600723502614, 5.0594335380622883, 5.013202715525539, 4.9586426229972016, 4.8954638228257918, 4.8238890539443204, 4.7448299713751734, 4.6600163862620194, 4.5720166855518416, 4.4840949350808597, 4.3998879686389838, 4.3229490035003719, 4.2562656101361984, 4.2018826415143131, 4.160726447551875, 4.1326524056454792, 4.1166644541259592, 4.1112171697445818, 4.1145150189054345, 4.1247536305883008, 4.1402826031292577, 4.1596945755577046, 4.18185758690176, 4.2059100281307789, 4.231234360181606, 4.2574208773083413, 4.284228199991559, 4.3115437118579072, 4.3393449551300591, 4.3676619466084858, 4.3965402904121627, 4.4260056504743757, 4.4560313422595943, 4.4865120967288785, 4.5172478594062664, 4.5479411933797067, 4.5782100894112343, 4.6076149609983803, 4.6356952207370172, 4.6620083872819373, 4.6861641971550041, 4.7078478951673102, 4.7268300130379481, 4.7429632822060359, 4.7561697878834659, 4.7664225760274128, 4.7737258098809887, 4.7780967238068479, 4.7795515573500822], [5.4331485471487024, 5.4339089799222613, 5.4362036750185645, 5.4400626624042623, 5.4455023565486425, 5.4524765091044562, 5.4608124245733585, 5.4701417559572914, 5.4798426347286435, 5.4890170589381464, 5.496529183058299, 5.5011201674085495, 5.5015912852487023, 5.4970166596371319, 5.4869274061339945, 5.4714153992044103, 5.4511364140155392, 5.4272300010564294, 5.40119511040756, 5.3747579773697671, 5.3497503004036293, 5.3279958297102059, 5.3111927742030165, 5.3007813005080608, 5.2977975273382452, 5.3027320283626551, 5.3154242464670176, 5.3350269216754729, 5.3600628921646551, 5.3885735001573325, 5.4183327666085708, 5.4470853754100164, 5.4727653054132759, 5.4936638000101246, 5.5085329239999119, 5.5166265085027497, 5.5176895698566977, 5.5119101740718639, 5.4998465424141463, 5.4823396663915904, 5.4604195885812947, 5.4352123261231906, 5.4078537935617819, 5.3794163466028397, 5.3508522349038268, 5.3229562630507168, 5.2963476452373621, 5.2714689058602495, 5.2485981604942156, 5.2278704193295926, 5.2093036474471184, 5.1928259773986021, 5.1783014202949129, 5.1655524129993884, 5.1543784018797014, 5.1445703161256864, 5.1359212133751448, 5.1282336170308129, 5.1213241558291376, 5.1150261107715043, 5.1091904135381974, 5.1036855542714363, 5.0983967650704738, 5.0932247602779182, 5.0880842412709901, 5.0829023137821503, 5.0776169193064753, 5.0721753473604316, 5.0665328702999064, 5.0606515251678434, 5.0544990559370406, 5.0480480231696454, 5.0412750854845143, 5.034160457578051, 5.0266875524309205, 5.0188428205534761, 5.0106158067185378, 5.0019994548499174, 4.9929907050633737, 4.9835914439817328, 4.9738098912816717, 4.9636625330819211, 4.9531767474656734, 4.9423943102985337, 4.9313760212350157, 4.920207749858668, 4.9090082670666941, 4.8979392887102389, 4.8872181993243338, 4.8771339093793911, 4.8680661689720655, 4.8605083122914525, 4.8550926812644608, 4.8526166465095013, 4.854064930640571, 4.8606205995114795, 4.8736526425309368, 4.8946632592581185, 4.9251749699670748, 4.966540677666579, 5.0196746708602742, 5.084733699719596, 5.1608210445048508, 5.2458240302112547, 5.3364944861648986, 5.4288173599870131, 5.5185989766173194, 5.60210425137487, 5.6765493610674795, 5.7403285251408365, 5.7929697482127347, 5.8349042173207621, 5.8671621474049989, 5.8910851257756436, 5.908102864751287, 5.9195857381852459, 5.9267630672832761, 5.9306893001581971, 5.9322406274826349, 5.9321284004950732, 5.9309200732635787, 5.9290620088924744, 5.9269010604729759, 5.9247034816843955, 5.9226706820265784, 5.920951847887336, 5.919653677797915, 5.9188475464119144, 5.9185743906737587, 5.9186319071591784, 5.9188042066482627, 5.9190905364120043, 5.9194896324511417, 5.9199997052314721, 5.9206184195342662, 5.9213428682444267, 5.922169539845382, 5.9230942793394092, 5.9241122422601311, 5.9252178413920813, 5.9264046857625159, 5.9276655114215782, 5.9289921034794348, 5.9303752088295525, 5.9318044389470428, 5.9332681621268062, 5.934753384506676, 5.9362456192219684, 5.9377287430560219, 5.9391848399980729, 5.940594031202215, 5.94193429096401, 5.9431812485146809, 5.9443079756815607, 5.9452847608010995, 5.9460788697110321, 5.9466542952183534, 5.9469714971612158, 5.9469871360844051, 5.9466538046635584, 5.945919762368387, 5.9447286804866764, 5.9430194065642539, 5.9407257595717082, 5.9377763696982537, 5.9340945795826157, 5.9295984269804949, 5.9242007322590347, 5.9178093175587563, 5.9103273877665607, 5.9016541062989507, 5.8916854006980799, 5.880315033666224, 5.8674359737676687, 5.8529420958408407, 5.8367302333601119, 5.8187025927075453, 5.7987695218028099, 5.776852602272541, 5.752888005234519, 5.7268300163989743, 5.6986545980238699, 5.6683628158633423, 5.6359839223732813, 5.6015778579479383, 5.565236915519872, 5.5270863162947954, 5.4872834708437672, 5.4460157535523699, 5.403496699917901, 5.3599606419989918, 5.315655919865554, 5.27083693482128, 5.2257554295669895, 5.1806514768163732, 5.1357447184196436, 5.0912264129749882, 5.0472528179789506, 5.0039403555710917, 4.961362897056997, 4.9195513625186642, 4.8784956812889835, 4.8381490094826969, 4.7984339624144168, 4.7592504998159342, 4.7204850047132219, 4.6820200252426183, 4.643744104558122, 4.6055611097126832, 4.5673984890831889, 4.5292139428071501, 4.4910000837693609, 4.4527867967453858, 4.4146411643261194, 4.3766650084552667, 4.3389902788726458, 4.3017726844778501, 4.2651840909245049, 4.2294042820398854, 4.1946126956938654, 4.1609806973201913, 4.1286648560397206, 4.0978015555070426, 4.0685031237377833, 4.0408555223787079, 4.014917511755737, 3.9907211137417109, 3.968273134278764, 3.9475574802347535, 3.9285380063220932, 3.9111616500449036, 3.8953616484942257, 3.8810606733009938, 3.8681737635235867, 3.856610976656687, 3.8462797128106962, 3.8370866952895231, 3.8289396121360553, 3.8217484382434308, 3.8154264672369576, 3.809891087566537, 3.8050643391527603, 3.8008732864422488, 3.7972502416492162, 3.7941328689208635, 3.7914641966493954, 3.7891925615071869, 3.7872715042386593, 3.7856596339521698, 3.7843204746947348, 3.7832223054991094, 3.7823380028632001, 3.7816448927411175, 3.7811246175530893, 3.7807630224237894, 3.7805500637880929, 3.7804797426190597, 3.7805500637880787, 3.7807630224237547, 3.7811246175531155, 3.7816448927410988, 3.782338002863185, 3.7832223054990788, 3.7843204746947348, 3.7856596339521742, 3.7872715042386789, 3.7891925615071957, 3.7914641966494069, 3.7941328689208373, 3.7972502416491785, 3.8008732864422412, 3.8050643391527643, 3.809891087566549, 3.8154264672369211, 3.8217484382434139, 3.8289396121360628, 3.8370866952895248, 3.8462797128106789, 3.8566109766566745, 3.868173763523588, 3.8810606733010031, 3.895361648494239, 3.9111616500448751, 3.9285380063221194, 3.9475574802347619, 3.9682731342787139, 3.9907211137417162, 4.0149175117557414, 4.0408555223787195, 4.0685031237377647, 4.0978015555070444, 4.1286648560396966, 4.1609806973202108, 4.1946126956938716, 4.2294042820398854, 4.2651840909245182, 4.3017726844778581, 4.3389902788726049, 4.3766650084552516, 4.4146411643261185, 4.4527867967453796, 4.4910000837693484, 4.5292139428071376, 4.5673984890831774, 4.6055611097126645, 4.6437441045581052, 4.6820200252425721, 4.7204850047132458, 4.7592504998159475, 4.7984339624144265, 4.8381490094826276, 4.8784956812889773, 4.9195513625186589, 4.9613628970570431, 5.0039403555711406, 5.0472528179789613, 5.09122641297499, 5.1357447184196587, 5.1806514768163936, 5.2257554295669673, 5.27083693482132, 5.3156559198655433, 5.3599606419990016, 5.4034966999178753, 5.4460157535523965, 5.4872834708438232, 5.5270863162947679, 5.5652369155198933, 5.6015778579479152, 5.63598392237326, 5.6683628158633388, 5.698654598023893, 5.7268300163989956, 5.752888005234559, 5.7768526022725366, 5.7987695218028135, 5.8187025927075533, 5.8367302333601376, 5.8529420958408611, 5.8674359737677007, 5.8803150336662542, 5.8916854006980897, 5.9016541062989578, 5.9103273877665679, 5.9178093175587643, 5.9242007322590409, 5.9295984269805038, 5.9340945795826352, 5.9377763696982813, 5.9407257595717002, 5.9430194065642787, 5.9447286804866897, 5.9459197623683995, 5.9466538046635593, 5.9469871360844042, 5.9469714971612007, 5.9466542952183588, 5.9460788697110436, 5.9452847608011048, 5.9443079756815562, 5.94318124851468, 5.9419342909640047, 5.9405940312022043, 5.9391848399981004, 5.9377287430560184, 5.9362456192220003, 5.9347533845066929, 5.9332681621268017, 5.9318044389470366, 5.930375208829564, 5.9289921034794739, 5.9276655114215702, 5.9264046857625505, 5.9252178413920751, 5.9241122422601311, 5.9230942793394252, 5.9221695398453749, 5.9213428682444276, 5.920618419534283, 5.9199997052314561, 5.9194896324511594, 5.9190905364120177, 5.9188042066482875, 5.9186319071591829, 5.918574390673716, 5.9186031546869335, 5.9186893911502487, 5.9188329331343406, 5.9190335017542841, 5.9192907051644292, 5.9196040371480114, 5.9199728752977565, 5.92039647878486, 5.920873985710589, 5.9214044100347953, 5.921986638075591, 5.9226194245723587, 5.9233013883050019, 5.9240310072598721, 5.9248066133346091, 5.9256263865715111, 5.9264883489099898, 5.9273903574475666, 5.9283300971998658, 5.929305073348095, 5.9303126029657198, 5.9313498062127428, 5.9324135969898437, 5.9335006730437829, 5.9346075055168974, 5.9357303279356302, 5.9368651246338437, 5.9380076186108024, 5.9391532588241507, 5.9402972069238356, 5.9414343234357885, 5.9425591534089781, 5.9436659115451835, 5.9447484668369484, 5.945800326747368, 5.9468146209718462, 5.9477840848338088, 5.9487010423754905, 5.9495573892181337, 5.9503445752791224, 5.9510535874490573, 5.9516749323499418, 5.9521986193128509, 5.9526141437366951, 5.9529104710112817, 5.9530760212145646, 5.9530986548211127, 5.9529656596889264, 5.9526637396250379, 5.9521790048643011, 5.9514969648337592, 5.9506025236132949, 5.9494799785454315, 5.9481130224885561, 5.9464847502527007, 5.9445776697998154, 5.9423737188349959, 5.9398542874566491, 5.9370002475745416, 5.9337919898389604, 5.9302094688558995, 5.9262322574848909, 5.9218396110300304, 5.9170105421347712, 5.9117239071772785, 5.905958504930986, 5.8996931882008088, 5.8929069890680239, 5.8855792582690452, 5.8776898190960072, 5.8692191360324877, 5.860148498125783, 5.8504602168448621, 5.8401378378774824, 5.8291663659808863, 5.8175325016198434, 5.8052248877043944, 5.7922343642812839, 5.778554228546569, 5.7641804970399599, 5.7491121663652773, 5.7333514682729589, 5.7169041144557662, 5.6997795259692641, 5.6819910418147455, 5.6635561009444153, 5.644496391781253, 5.6248379633279582, 5.6046112920796558, 5.5838512992876872, 5.5625973136484248, 5.5408929752363747, 5.5187860774491639, 5.4963283448898128, 5.4735751464534772, 5.4505851443805389, 5.4274198816525416, 5.4041433117851758, 5.380821276759856, 5.357520940465152, 5.3343101865276807, 5.3112569907262115, 5.2884287792482967, 5.2658917848027311, 5.2437104130042833, 5.221946631471849, 5.2006593937120105, 5.1799041091017219, 5.1597321691676568, 5.140190538915939, 5.121321420258572, 5.1031619926733445, 5.0857442342039914, 5.0690948238267897, 5.0532351241694746, 5.0381812416288785, 5.0239441591747909, 5.010529935591995, 4.997939963651004, 4.986171278733055, 4.9752169087829508, 4.9650662561191048, 4.9557055015864302, 4.9471180217642603, 4.9392848104085534, 4.9321848959783949, 4.925795747922697, 4.9200936653480527, 4.9068627314471662, 4.8989209031947363, 4.8956223185979679, 4.8963884751342288, 4.9007277475298974, 4.9082367566755183, 4.9185891080897184, 4.9315167573502254, 4.9467882805195238, 4.9641871476163821, 4.9834920533414921, 5.0044606044027855, 5.0268172068271149, 5.0502457592986394, 5.0743876171600322, 5.0988451202330571, 5.1231906790454005, 5.146980947435126, 5.1697750082338754, 5.1911548718282408, 5.2107460957557734, 5.2282361409060005, 5.2433882921587243, 5.2560495877510132, 5.2661521035032459, 5.2737079225842587, 5.2787989694040567, 5.2815634318249138, 5.2821806711430739, 5.2808563573557965, 5.2778091718750728, 5.273259920275442, 5.2674234085700649, 5.2605030351453523, 5.2526877719691445, 5.2441510539415344, 5.2350510441476024, 5.2255317665288308, 5.2157246675595887, 5.2057502612590563, 5.1957196100724206, 5.1857354865896292, 5.1758931412251599, 5.1662806657262612, 5.1569789908181196, 5.1480615890289592, 5.1395939723108794, 5.1316330806612003, 5.1242266550887496, 5.1174126786226513, 5.1112189552016094, 5.105662880480919, 5.1007514426880931, 5.0964814769370355, 5.0928401836236592, 5.0898059109148406, 5.0873491927559735, 5.08543402683528, 5.0840193709882922, 5.0830608310271499, 5.0825125074077668, 5.0823289621202834, 5.0824672604493211, 5.0828890346938458, 5.0835625085814229, 5.0844644120645626, 5.085581706663814, 5.0869130318290408, 5.0884697734157838, 5.0902766470524279, 5.0923716830424937, 5.0948054971713121, 5.0976397356918177, 5.1009445958657977, 5.1047953493246823, 5.1092678379972982, 5.1144329747948687, 5.1203503655967904, 5.1270612746342561, 5.1345812774891124, 5.1428930750769739, 5.1519400635396178, 5.1616213502543511, 5.1717889549956908, 5.1822479197986118, 5.1927599600665104, 5.203051121760101, 5.2128236747649206, 5.2217721882925821, 5.2296034190855947, 5.2360593084159266, 5.2409420262081277, 5.2441396025463742, 5.245650227906312, 5.2456027854975815, 5.2442706616839967, 5.2420755146811855, 5.2395777192946014, 5.2374509530988478, 5.236440087472543, 5.2373041860893901, 5.2407495666298898, 5.2473606795071568, 5.2575379237900535, 5.2714506488728947, 5.2890104554840303, 5.3098654938596246, 5.3334124875054618, 5.3588214865274306, 5.3850699633832173, 5.4109875594379693, 5.4353185944140323, 5.4568125761270734, 5.4743486207711394, 5.4870848906401353, 5.494602176460754, 5.4969939850124749, 5.4948600803977765, 5.4891921413109159, 5.4811840442399289, 5.4720280578392666, 5.4627552518845341, 5.4541504616675462, 5.4467399168852255, 5.4408294327560034, 5.4365662638881567, 5.4340028265037938, 5.4331485471487024, 5.4337178283181213, 5.4354238224424618, 5.438258047478425, 5.4421967379146938, 5.4471870119421988, 5.453129009228129, 5.4598561031673682, 5.4671165546583991, 5.4745613078838415, 5.4817434901165463, 5.4881347692936977, 5.4931612888039059, 5.4962572904382307, 5.4969287799371305, 5.4948149058953994, 5.4897335884727463, 5.4817015151417312, 5.4709257240566904, 5.4577715692220581, 5.4427168111400208, 5.4263024958590886, 5.4090888606887608, 5.391620606038706, 5.3744022947281849, 5.3578823617271993, 5.3424433614164153, 5.3283962603474739, 5.315977281064554, 5.3053465882238893, 5.2965887194868886, 5.2897149914063819, 5.2846681566144946, 5.2813294221700851, 5.2795276596822678, 5.2790503468647385, 5.279655557937164, 5.2810842135144549, 5.2830718193659232, 5.2853590472259002, 5.2877007008432164, 5.2898728229133516, 5.2916778957682302, 5.2929482453946743, 5.2935478630318142, 5.2933729115087944, 5.2923511927408775, 5.2904408303500645, 5.2876283797261276, 5.2839265280097045, 5.2793714969771619, 5.2740202184814917, 5.2679473183990009, 5.2612419224619691, 5.2540042859625657, 5.2463422480545088, 5.2383675184108132, 5.2301918168908497, 5.2219229027858223, 5.2136605461119983, 5.2054925062969986, 5.197490590771789, 5.1897068653909031, 5.1821700791271361, 5.1748823471514145, 5.1678161105201745, 5.1609113598443663, 5.1540730783093665, 5.147168831152416, 5.1400264101379713, 5.1324314398487934, 5.1241248764875023, 5.1148003904831372, 5.1041017360429901, 5.0916203928789647, 5.0768940415865531, 5.0594068319420433, 5.0385929477174223, 5.0138456709081431, 4.9845349658907061, 4.9500374091412569, 4.9097827857933334, 4.8633213164544742, 4.810413436789343, 4.7511393313135422, 4.6860173057645671, 4.6161090516466032, 4.5430788064316383, 4.4691683067262797, 4.3970578499057424, 4.3296102508138361, 4.2695342496085029, 4.2190406678433536, 4.1795775533921695, 4.1517088463822951, 4.1351536934904258, 4.1289542110068584, 4.1317104463042389, 4.1418198703692521, 4.1576771399394241, 4.1778143314059308, 4.2009817435704315, 4.2261805756017656, 4.2526622045500462, 4.2799073405829517, 4.3075948330557585, 4.3355661819637765, 4.363788786080355, 4.3923189360698656, 4.4212645546688227, 4.4507476087700368, 4.4808668267000442, 4.5116626056581772, 4.5430873771755182, 4.5749856217615452, 4.6070875519032608, 4.63901882302613, 4.6703256551684751, 4.7005112999591265, 4.7290771133949461, 4.755560646623243, 4.7795644463135254, 4.8007720758482506, 4.8189511138811945, 4.8339455040995887, 4.8456610562517515, 4.854048138812332, 4.8590850304023023, 4.8607644714212892], [5.405203482450827, 5.4055160314402784, 5.4064833187364369, 5.408187915742654, 5.4107461041227944, 5.4142755689237738, 5.4188506470595925, 5.4244480548701972, 5.4308899560042905, 5.4377963109445817, 5.4445629007498706, 5.4503821440558946, 5.4543175758899558, 5.455428835329907, 5.4529263876195033, 5.4463224717599132, 5.4355445164809923, 5.4209899718168613, 5.4035193859924, 5.3843974430117312, 5.3651944635378808, 5.3476561933936839, 5.3335447865966188, 5.3244552908910592, 5.3216216309892816, 5.3257400574431664, 5.3368477700970995, 5.3542913066978857, 5.3768004426344715, 5.402655045300687, 5.4299071955028761, 5.4566101043080817, 5.481011815763698, 5.5016894693455987, 5.5176194317200844, 5.5281926116572633, 5.5331903668025575, 5.5327361626287699, 5.5272346475259058, 5.5173057655848856, 5.503718462179684, 5.4873268526798809, 5.4690111252136528, 5.4496253667127288, 5.4299544111167499, 5.4106813948754731, 5.3923669081797829, 5.375439593777771, 5.3601970089718254, 5.3468147575371656, 5.3353614549137527, 5.3258170365595587, 5.3180921866317865, 5.3120471326610534, 5.3075085960297042, 5.3042842069921718, 5.3021741236507758, 5.3009799103744353, 5.3005109338071277, 5.3005886413434498, 5.3010491217800677, 5.3017443347036801, 5.3025423542225685, 5.3033269190238768, 5.3039965246721099, 5.3044632417370536, 5.3046513979272056, 5.304496225073013, 5.3039425424860074, 5.3029435262013678, 5.301459597917443, 5.299457457077569, 5.2969092736134513, 5.2937920566887495, 5.2900872158614929, 5.2857803351583215, 5.2808611875794194, 5.2753240276853477, 5.2691682135197677, 5.2623992267157584, 5.2550301818668759, 5.2470839437813614, 5.2385960045498718, 5.2296183113559422, 5.2202242792886588, 5.2105152672884971, 5.2006288315518079, 5.1907490834491892, 5.1811194401925542, 5.1720579191435903, 5.1639748170261868, 5.15739202592159, 5.1529622284045704, 5.1514846339139133, 5.1539116767820126, 5.1613383158079849, 5.1749628549836419, 5.1960069563890574, 5.2255851597644671, 5.2645237537064382, 5.3131470989784013, 5.3710739899449012, 5.4370875766646449, 5.5091440291294305, 5.5845549976067739, 5.6603212510047038, 5.73353569804312, 5.8017469127508061, 5.863195112175994, 5.9168867588291221, 5.9625296482273589, 6.0003824202063614, 6.031075734402398, 6.055447026230059, 6.074410385504704, 6.0888666211706619, 6.0996488827917137, 6.1074953670586538, 6.1130404491533046, 6.1168170822619041, 6.119265246026079, 6.1207429728122538, 6.1215378249435277, 6.1218776312238479, 6.1219398932965507, 6.1218596327701409, 6.1217356473539795, 6.1216352375017076, 6.1215974949433187, 6.1216097911108776, 6.1216464058235296, 6.1217065156647799, 6.1217887414390608, 6.1218911378746412, 6.1220111791162104, 6.1221457399178032, 6.1222910724194888, 6.1224427783680442, 6.1225957766177865, 6.1227442657242275, 6.1228816814235953, 6.1230006487715487, 6.1230929286982736, 6.1231493587266996, 6.1231597875909447, 6.1231130034941819, 6.1229966557503719, 6.1227971695740839, 6.1224996538121221, 6.1220878014582807, 6.1215437828605479, 6.1208481316194732, 6.1199796233001198, 6.1189151472355698, 6.1176295719021327, 6.1160956045972155, 6.1142836464648225, 6.1121616442979843, 6.1096949410128429, 6.1068461272525019, 6.1035748972446662, 6.0998379128249098, 6.0955886804532549, 6.0907774471038945, 6.0853511221027805, 6.0792532333187479, 6.0724239275683356, 6.0648000266484203, 6.0563151520133358, 6.0468999326986772, 6.0364823125612874, 6.0249879741180603, 6.012340897044397, 5.998464069517687, 5.983280369779715, 5.9667136332363579, 5.9486899167551996, 5.9291389662022338, 5.9079958853351462, 5.8852029936751755, 5.8607118477812961, 5.8344853845434121, 5.8065001270996808, 5.7767483745778909, 5.7452402773477234, 5.712005681651342, 5.6770956136228765, 5.6405832654371224, 5.6025643483654362, 5.5631566913223356, 5.5224989908282645, 5.4807486597322512, 5.4380787764457086, 5.3946742008083151, 5.3507269920371643, 5.3064313318856593, 5.261978214548412, 5.2175502064368686, 5.1733165972820787, 5.1294292549054488, 5.0860194582576606, 5.0431959191649138, 5.0010441180273242, 4.9596269803985837, 4.9189868193297404, 4.8791483722805093, 4.8401226801866404, 4.8019114970840491, 4.7645118864034766, 4.7279206568882337, 4.6921383166290171, 4.6571722749832265, 4.6230390939722321, 4.5897656761600052, 4.5573893668854737, 4.5259570365179309, 4.495523285080127, 4.4661479704720097, 4.437893298121959, 4.4108207223655755, 4.3849878991730895, 4.3604458995080142, 4.3372368479376471, 4.3153920984406788, 4.2949310049896345, 4.2758602939527188, 4.2581740027924573, 4.2418539174331134, 4.2268704198731211, 4.2131836476273312, 4.2007448658746886, 4.1894979596907591, 4.1793809651983684, 4.1703275727285076, 4.1622685503369405, 4.1551330508527675, 4.1488497790855812, 4.1433480073113778, 4.1385584364564334, 4.134413907502327, 4.1308499727171606, 4.1278053396426637, 4.1252222026406447, 4.1230464775407052, 4.1212279548180364, 4.1197203860215073, 4.118481517074609, 4.1174730807504609, 4.1166607592054669, 4.1160141260303531, 4.1155065759081344, 4.115115248690107, 4.1148209535379667, 4.1146080977339112, 4.1144646238321885, 4.114381958002161, 4.1143549716820269, 4.1143819580021486, 4.1144646238321512, 4.1146080977339317, 4.1148209535379499, 4.1151152486900902, 4.1155065759081078, 4.1160141260303549, 4.1166607592054731, 4.1174730807504822, 4.118481517074617, 4.1197203860215206, 4.121227954818008, 4.1230464775406741, 4.1252222026406367, 4.1278053396426673, 4.1308499727171748, 4.1344139075022941, 4.1385584364564156, 4.1433480073113822, 4.1488497790855847, 4.1551330508527515, 4.162268550336929, 4.1703275727285103, 4.1793809651983755, 4.1894979596907636, 4.200744865874662, 4.2131836476273579, 4.2268704198731237, 4.2418539174330689, 4.2581740027924617, 4.2758602939527153, 4.294931004989647, 4.3153920984406655, 4.3372368479376489, 4.3604458995079947, 4.3849878991731082, 4.4108207223655809, 4.4378932981219572, 4.4661479704720248, 4.4955232850801394, 4.5259570365178963, 4.5573893668854648, 4.589765676160007, 4.6230390939722241, 4.6571722749832185, 4.6921383166290083, 4.7279206568882257, 4.7645118864034579, 4.8019114970840358, 4.8401226801865906, 4.8791483722805324, 4.9189868193297563, 4.9596269803986051, 5.0010441180272593, 5.0431959191649094, 5.0860194582576632, 5.1294292549054932, 5.1733165972821249, 5.2175502064368855, 5.2619782145484164, 5.3064313318856726, 5.3507269920371803, 5.3946742008082946, 5.4380787764457414, 5.4807486597322459, 5.5224989908282698, 5.5631566913223143, 5.602564348365461, 5.640583265437165, 5.6770956136228543, 5.7120056816513589, 5.7452402773477056, 5.7767483745778696, 5.8065001270996772, 5.8344853845434317, 5.8607118477813129, 5.8852029936752075, 5.9079958853351391, 5.9291389662022382, 5.948689916755205, 5.9667136332363819, 5.9832803697797354, 5.9984640695177154, 6.0123408970444254, 6.0249879741180692, 6.0364823125612936, 6.0468999326986816, 6.0563151520133465, 6.064800026648431, 6.0724239275683471, 6.0792532333187719, 6.0853511221028089, 6.0907774471038909, 6.0955886804532833, 6.0998379128249196, 6.1035748972446768, 6.106846127252517, 6.1096949410128483, 6.1121616442979754, 6.1142836464648358, 6.116095604597227, 6.1176295719021452, 6.1189151472355663, 6.1199796233001251, 6.1208481316194723, 6.1215437828605426, 6.1220878014583002, 6.1224996538121168, 6.1227971695741088, 6.1229966557503817, 6.123113003494173, 6.1231597875909465, 6.1231493587267085, 6.1230929286982949, 6.1230006487715389, 6.1228816814236176, 6.1227442657242221, 6.1225957766177848, 6.1224427783680602, 6.1222910724194781, 6.1221457399178103, 6.1220111791162246, 6.1218911378746279, 6.1217887414390777, 6.1217065156647887, 6.12164640582355, 6.1216097911108802, 6.1215974949432903, 6.1216036500338085, 6.1216220626099114, 6.1216525744550232, 6.1216949214399259, 6.1217487328700573, 6.1218135305706642, 6.1218887277080212, 6.1219736273464322, 6.1220674207384587, 6.1221691853465536, 6.1222778825940898, 6.1223923553431154, 6.1225113250966077, 6.1226333889217344, 6.1227570160922742, 6.1228805444465655, 6.1230021764586482, 6.1231199750193603, 6.1232318589256565, 6.1233355980747062, 6.1234288083623483, 6.1235089462829642, 6.123573303231205, 6.1236189995047718, 6.12364297800955, 6.1236419976690373, 6.1236126265409689, 6.1235512346468433, 6.1234539865198929, 6.1233168334809704, 6.1231355056530594, 6.1229055037281084, 6.1226220905029507, 6.1222802822044375, 6.1218748396284282, 6.1214002591202696, 6.1208507634309139, 6.1202202924873141, 6.1195024941222442, 6.1186907148150986, 6.1177779905032477, 6.116757037531511, 6.115620243816239, 6.1143596603109103, 6.112966992870656, 6.1114335946252103, 6.1097504589827398, 6.1079082134004894, 6.10589711407387, 6.1037070417110559, 6.1013274985777803, 6.0987476070147792, 6.0959561096500821, 6.0929413715476937, 6.0896913845562359, 6.0861937741415097, 6.0824358090098363, 6.0784044138507483, 6.0740861855502102, 6.0694674132463344, 6.0645341026207022, 6.0592720048366999, 6.0536666505533994, 6.0477033894562462, 6.0413674357556975, 6.0346439201088407, 6.0275179484169907, 6.0199746679425123, 6.0119993411688482, 6.0035774277986009, 5.9946946752417736, 5.9853372178897564, 5.9754916853983664, 5.9651453201123745, 5.9542861036527732, 5.9429028925564955, 5.930985562703019, 5.9185251620822825, 5.9055140712543306, 5.8919461706222291, 5.8778170133857719, 5.8631240027681963, 5.8478665718124798, 5.832046363733383, 5.8156674104898354, 5.7987363069215796, 5.781262377475139, 5.763257832248371, 5.7447379088116328, 5.7257209960421216, 5.7062287360396065, 5.6862861001063543, 5.6659214347732023, 5.6451664739656495, 5.6240563136373201, 5.6026293455628862, 5.5809271474935338, 5.5589943275327958, 5.5368783213908657, 5.5146291421100573, 5.4922990829101508, 5.4699423749500111, 5.447614803017566, 5.4253732833973602, 5.4032754093832605, 5.3813789710544881, 5.3597414569633628, 5.3384195462416928, 5.3174686002790095, 5.2969421635117167, 5.2768914829643556, 5.2573650559792107, 5.238408215059116, 5.2200627579336061, 5.2023666298750655, 5.1853536639676614, 5.169053383529528, 5.1534908692582722, 5.1386866919843106, 5.1246569102394348, 5.1114131302479091, 5.0989626244802491, 5.0873085036329213, 5.076449935843816, 5.0663824061548457, 5.0570980087027282, 5.0485857638536764, 5.04083195249083, 5.0219500678538136, 5.0092091609901503, 5.0019939848812847, 4.9996677187539822, 5.001619917790447, 5.0072955022117123, 5.0162071340654233, 5.0279348922848488, 5.0421174436487259, 5.0584384265092304, 5.0766109716618901, 5.0963624888722023, 5.1174212016431264, 5.1395054510211153, 5.162316472917043, 5.1855351115092168, 5.2088226913514841, 5.2318259815077468, 5.2541858311745919, 5.2755486649752479, 5.2955796617269151, 5.3139761867249549, 5.3304799803547382, 5.3448867648581722, 5.3570523014721516, 5.3668944424617031, 5.374391272262212, 5.3795759107892529, 5.3825288785911107, 5.3833690618585619, 5.3822442762273859, 5.3793222570402222, 5.374782660724442, 5.3688104049303451, 5.3615904474087843, 5.3533039299882264, 5.3441255020974712, 5.3342215834188442, 5.3237493159066505, 5.3128559776674971, 5.3016786718792908, 5.2903441521600696, 5.2789686936094284, 5.2676579609487799, 5.256506858961199, 5.2455993748051384, 5.2350084370922989, 5.2247958240880017, 5.2150121546882406, 5.2056969927737597, 5.196879089873466, 5.1885767842459618, 5.1807985676108625, 5.1735438245256455, 5.1668037441259074, 5.1605623996201579, 5.1547979873117118, 5.149484213617348, 5.144591815108452, 5.1400901925790592, 5.13594913515798, 5.1321406042590292, 5.1286405395441461, 5.1254306400353862, 5.1225000631833746, 5.1198469733660517, 5.1174798594511746, 5.1154185294495393, 5.1136946799941843, 5.1123519308795125, 5.1114452121410254, 5.1110393955920648, 5.1112070772101097, 5.1120254443058917, 5.1135722047814944, 5.1159206168442788, 5.1191337363915643, 5.1232580933659424, 5.128317111733538, 5.1343046906865339, 5.1411794543270446, 5.1488602388488367, 5.1572234062912496, 5.166102542413098, 5.1752910100931331, 5.1845476943878799, 5.1936061042803532, 5.2021868067832306, 5.2100129769680947, 5.2168286587006047, 5.2224191354276357, 5.2266325800077968, 5.2294018457656604, 5.2307648382903169, 5.2308813590041545, 5.2300436935365342, 5.2286776900500653, 5.2273309136271244, 5.226645033530648, 5.2273112237165815, 5.230010117323963, 5.2353413844724281, 5.2437513987565794, 5.2554694973405578, 5.270462999222354, 5.2884182236436317, 5.3087501773809942, 5.3306391101750252, 5.3530894680594709, 5.3750065405824428, 5.3952873169313129, 5.412922408970676, 5.4271029167667955, 5.4373191997192372, 5.4434307009301781, 5.4456836465512461, 5.4446624737021061, 5.4411806920832904, 5.4361383551524289, 5.4303841369399279, 5.424614375316672, 5.4193241767935953, 5.4148072935610783, 5.4111900395158514, 5.4084817725819416, 5.4066276013715235, 5.405554117270289, 5.405203482450827, 5.4054366269728362, 5.4061434793751921, 5.4073445269825724, 5.4090680343812059, 5.4113413156443002, 5.4141788330988083, 5.4175677364684498, 5.4214520197381173, 5.4257172291495097, 5.4301784764719176, 5.4345751230128085, 5.4385754983212502, 5.4417939961053579, 5.4438206820567583, 5.4442604934582208, 5.4427761312851644, 5.4391270506688061, 5.4331974211958993, 5.4250085307176406, 5.4147148494961259, 5.4025864197776219, 5.3889822788426303, 5.3743199496386138, 5.3590450725064107, 5.3436037627381143, 5.3284189209906296, 5.3138708383519528, 5.3002820535542776, 5.2879063759711427, 5.2769220722390333, 5.2674292566768841, 5.2594514403029873, 5.2529409788487103, 5.2477878752878508, 5.2438311204085766, 5.2408715707705849, 5.2386853108069902, 5.2370365296642722, 5.2356891352339101, 5.234416580346724, 5.2330096389190501, 5.2312821020548004, 5.2290745406069972, 5.2262563926567536, 5.2227266857836954, 5.2184137066947667, 5.2132738996154613, 5.2072902242387773, 5.2004701459407192, 5.1928433742134423, 5.1844594155949135, 5.1753849680569797, 5.1657011562693125, 5.155500591532503, 5.1448842357519258, 5.13395805426374, 5.1228294557827869, 5.1116035369133801, 5.1003791708488393, 5.0892450020811646, 5.0782754280532849, 5.0675266618182011, 5.0570329745968499, 5.0468032122924065, 5.0368176654770718, 5.0270253496162391, 5.0173417244615219, 5.007646853299339, 4.9977839801115014, 4.9875584928490433, 4.9767372520838897, 4.9650483054133847, 4.9521810893811393, 4.937787353798349, 4.9214832404916695, 4.902853221158554, 4.8814569534868015, 4.8568405428880546, 4.828554159696095, 4.7961783606051895, 4.7593616050331091, 4.7178710148194503, 4.6716569266760866, 4.6209286850187592, 4.5662340391445078, 4.5085277113240911, 4.4492077623774646, 4.3900946227656963, 4.3333316312695755, 4.2812011549082305, 4.235875724439504, 4.1991507825282524, 4.1722211987107602, 4.1555568881280189, 4.1489040116561542, 4.1514002394786917, 4.1617628929584018, 4.1784984172771722, 4.2000899805395546, 4.225138292803793, 4.2524492001256817, 4.2810743282379571, 4.3103167888946476, 4.339714367850922, 4.3690101335431759, 4.3981170408212309, 4.4270800602912139, 4.4560371938891254, 4.4851796070844498, 4.5147109914617083, 4.5448070219503176, 4.5755770998622873, 4.607031993730069, 4.6390618560068919, 4.6714287634887812, 4.7037760754004854, 4.7356538007366948, 4.766555733797043, 4.7959615759457321, 4.8233765540024391, 4.8483623582884023, 4.8705559359149415, 4.8896757391527865, 4.9055174979049507, 4.9179429682596334, 4.9268654134768184, 4.9322351225052632, 4.9340274642262516], [5.3093580564189997, 5.3092667089107, 5.3090271645062517, 5.3087388123660784, 5.3085533301721686, 5.308652919929739, 5.3092189213090739, 5.3103914672362551, 5.3122230971657576, 5.3146325049007652, 5.3173681925195373, 5.3199943246568315, 5.3219106109039203, 5.3224130390524795, 5.3207929165238568, 5.3164607121955791, 5.3090730750765456, 5.2986395951764598, 5.2855903088114493, 5.2707921384658274, 5.2555083855778522, 5.2412988978797452, 5.229862275874841, 5.2228297174196747, 5.2215345469035856, 5.2267979843195427, 5.2387806445221043, 5.2569410496043281, 5.2801155500857799, 5.3066986665093445, 5.3348755292374959, 5.3628507416348548, 5.3890306674103794, 5.4121390452794014, 5.4312672948352585, 5.4458739536985963, 5.4557515705552309, 5.4609770143455236, 5.4618562282087089, 5.4588696200338562, 5.4526208038384834, 5.4437895054879917, 5.4330887899561144, 5.4212268459363537, 5.4088739026626316, 5.396635110721701, 5.3850302122218183, 5.3744805250366978, 5.3653032521330566, 5.3577125396528409, 5.3518261890052736, 5.3476765823396359, 5.3452242519682409, 5.3443726002063725, 5.3449825048730961, 5.3468858590246455, 5.3498974264651098, 5.3538246981228577, 5.3584756795470252, 5.3636647160360571, 5.3692165721971064, 5.3749690378622299, 5.3807743461355546, 5.3864996755774133, 5.3920269787348785, 5.3972523422306544, 5.4020850455209901, 5.4064464500269969, 5.4102688196774817, 5.4134941488156638, 5.416073054004408, 5.4179637721870071, 5.4191312984312185, 5.419546691601365, 5.4191865753570525, 5.418032864600077, 5.4160727537910942, 5.4132990135067578, 5.4097106554406551, 5.4053140440889083, 5.4001245559269204, 5.394168914100538, 5.3874883580927166, 5.3801428419277704, 5.372216487542369, 5.3638245445963326, 5.3551221107188445, 5.3463148239473499, 5.3376716148878218, 5.3295393440646812, 5.3223586724318617, 5.3166797246944917, 5.3131749137222917, 5.3126446647161103, 5.316009837574315, 5.3242828513018265, 5.3385088370184635, 5.3596701403317839, 5.3885539610133728, 5.4255948423233908, 5.4707194894438649, 5.5232352592869747, 5.5818065258867344, 5.6445473399344284, 5.7092253368951109, 5.7735337321346325, 5.8353645992848966, 5.8930198472877109, 5.9453231547983174, 5.991630956738649, 6.0317670724832073, 6.0659160944627661, 6.0945073035209498, 6.118110476068555, 6.1373538436980626, 6.1528661307478645, 6.1652398213276998, 6.1750109108823015, 6.1826502870243232, 6.1885626300983692, 6.1930897227259258, 6.1965159950629376, 6.1990748859312648, 6.2009551509266023, 6.2023066244428637, 6.2032451838320704, 6.2038568091194479, 6.2042007118046021, 6.2043115441358294, 6.2042910890299838, 6.2042294558221105, 6.2041258393651821, 6.2039788928204072, 6.2037867202422818, 6.2035468661480406, 6.2032563020237141, 6.2029114097040301, 6.2025079615518228, 6.2020410973506062, 6.2015052978118739, 6.2008943545904582, 6.2002013366919559, 6.1994185531505837, 6.198537511852944, 6.1975488743816847, 6.1964424067586075, 6.1952069259742757, 6.1938302422078753, 6.1922990966626461, 6.1905990949753367, 6.1887146362019063, 6.1866288374377625, 6.1843234542059733, 6.181778796838552, 6.1789736431937863, 6.1758851481946593, 6.1724887508502757, 6.1687580796351442, 6.1646648573561835, 6.1601788069444403, 6.1552675599682525, 6.1498965700893731, 6.1440290341768122, 6.1376258243607476, 6.1306454349576862, 6.1230439489286024, 6.1147750293431917, 6.1057899422137965, 6.0960376180146012, 6.085464760199522, 6.0740160100411744, 6.0616341780876786, 6.0482605534069505, 6.0338353024785887, 6.0182979699829939, 6.0015880936959061, 5.9836459450521193, 5.9644134055053533, 5.943834986367035, 5.9218589961324968, 5.8984388541803323, 5.8735345429784962, 5.8471141824346766, 5.8191556997906355, 5.7896485566476947, 5.7585954817193645, 5.726014144401681, 5.691938691219538, 5.6564210559488011, 5.6195319463116666, 5.5813614073734135, 5.5420188658994984, 5.5016325725101538, 5.4603483805037207, 5.418327831848532, 5.3757455610826046, 5.3327860743761626, 5.2896400101687346, 5.2465000348370925, 5.2035565664265908, 5.1609935463017589, 5.118984488255176, 5.0776890244455535, 5.0372501371003482, 4.9977922163518915, 4.9594200224363716, 4.9222185611972362, 4.886253812784501, 4.8515741919686253, 4.8182125708174546, 4.7861886649617471, 4.7555115752445358, 4.7261822866985881, 4.6981959537977289, 4.6715438404118226, 4.6462148295539256, 4.6221964663507755, 4.5994755427055853, 4.5780382698834643, 4.5578701131123793, 4.5389553790746291, 4.5212766530484112, 4.5048141787336142, 4.4895452625260086, 4.4754437676448999, 4.462479744578447, 4.4506192250407803, 4.439824188857445, 4.430052698173486, 4.4212591818373994, 4.4133948449598774, 4.4064081743030892, 4.4002455088636276, 4.3948516461460674, 4.3901704575238547, 4.386145490092912, 4.3827205369843556, 4.379840162754622, 4.3774501748797618, 4.3754980363171505, 4.3739332174379362, 4.3727074883278885, 4.371775154510579, 4.3710932406187712, 4.3706216274952325, 4.3703231487308711, 4.3701636528282037, 4.3701120370923485, 4.3701402590727092, 4.3702233309633645, 4.3703393018717431, 4.3704692323178307, 4.3705971647625077, 4.3707100933988619, 4.3707979358905691, 4.3708535092111624, 4.370872511231096, 4.3708535092111491, 4.3707979358905389, 4.3707100933988796, 4.3705971647624908, 4.3704692323178174, 4.3703393018717245, 4.3702233309633716, 4.370140259072719, 4.3701120370923716, 4.3701636528282011, 4.3703231487308827, 4.3706216274952121, 4.3710932406187473, 4.3717751545105772, 4.3727074883278929, 4.3739332174379513, 4.3754980363171203, 4.3774501748797459, 4.3798401627546228, 4.3827205369843591, 4.3861454900929004, 4.3901704575238485, 4.3948516461460692, 4.4002455088636321, 4.4064081743030865, 4.4133948449598552, 4.4212591818374269, 4.4300526981734789, 4.4398241888574113, 4.4506192250407768, 4.462479744578439, 4.4754437676449115, 4.4895452625260042, 4.5048141787336142, 4.5212766530483979, 4.5389553790746522, 4.5578701131123847, 4.5780382698834616, 4.5994755427056004, 4.6221964663507897, 4.6462148295539016, 4.6715438404118217, 4.6981959537977298, 4.7261822866985801, 4.7555115752445349, 4.7861886649617444, 4.8182125708174457, 4.8515741919686075, 4.8862538127844939, 4.9222185611971891, 4.9594200224363902, 4.9977922163519084, 5.0372501371003722, 5.0776890244454949, 5.1189844882551743, 5.1609935463017713, 5.2035565664266308, 5.246500034837136, 5.2896400101687533, 5.3327860743761697, 5.375745561082617, 5.4183278318485435, 5.4603483805036985, 5.501632572510176, 5.5420188658994984, 5.5813614073734161, 5.6195319463116498, 5.6564210559488277, 5.6919386912195735, 5.7260141444016597, 5.7585954817193761, 5.7896485566476832, 5.8191556997906133, 5.8471141824346722, 5.8735345429785069, 5.8984388541803447, 5.9218589961325216, 5.9438349863670243, 5.9644134055053559, 5.9836459450521211, 6.0015880936959212, 6.0182979699830144, 6.0338353024786171, 6.0482605534069744, 6.0616341780876866, 6.0740160100411815, 6.0854647601995255, 6.0960376180146101, 6.1057899422138071, 6.1147750293432033, 6.1230439489286246, 6.1306454349577155, 6.1376258243607476, 6.144029034176838, 6.1498965700893837, 6.1552675599682667, 6.1601788069444607, 6.1646648573561889, 6.1687580796351442, 6.1724887508502908, 6.1758851481946655, 6.1789736431937969, 6.1817787968385485, 6.1843234542059742, 6.186628837437766, 6.1887146362019037, 6.190599094975342, 6.1922990966626399, 6.1938302422078895, 6.1952069259742855, 6.1964424067585968, 6.1975488743816882, 6.1985375118529484, 6.1994185531505908, 6.2002013366919497, 6.2008943545904698, 6.201505297811873, 6.2020410973506017, 6.2025079615518317, 6.2029114097040212, 6.2032563020237248, 6.2035468661480486, 6.2037867202422765, 6.2039788928204258, 6.2041258393651866, 6.2042294558221247, 6.2042910890299892, 6.2043115441358143, 6.2043013238085054, 6.2042706156753979, 6.2042192781959971, 6.2041470751793506, 6.2040536753486908, 6.2039386517316819, 6.203801480875188, 6.203641541884922, 6.2034581152886394, 6.2032503817224365, 6.2030174204391866, 6.2027582076384142, 6.202471614616643, 6.2021564057370426, 6.2018112362179956, 6.2014346497391735, 6.2010250758648784, 6.200580827283396, 6.2001000968626299, 6.1995809545209637, 6.1990213439142163, 6.1984190789381834, 6.1977718400483868, 6.1970771703975718, 6.1963324717933581, 6.1955350004783565, 6.1946818627358216, 6.1937700103256486, 6.1927962357552779, 6.1917571673924403, 6.190649264427325, 6.1894688116933754, 6.1882119143578205, 6.1868744924946721, 6.1854522755556065, 6.1839407967555982, 6.1823353873938922, 6.1806311711332897, 6.1788230582640828, 6.1769057399826774, 6.174873682719169, 6.1727211225522618, 6.1704420597551248, 6.1680302535210076, 6.1654792169234325, 6.1627822121721065, 6.1599322462330939, 6.1569220668888667, 6.1537441593229953, 6.1503907433223937, 6.1468537712006137, 6.1431249265554779, 6.1391956239863106, 6.1350570099071549, 6.1306999646064746, 6.1261151057160816, 6.1212927932673287, 6.1162231365273518, 6.1108960028237789, 6.105301028582625, 6.0994276328207233, 6.0932650333505807, 6.0868022659731382, 6.0800282069493488, 6.072931599058685, 6.0655010815664312, 6.0577252244359805, 6.0495925671327786, 6.0410916623754281, 6.0322111251941521, 6.0229396876568337, 6.0132662596171871, 6.0031799958275531, 5.9926703697379944, 5.9817272542725499, 5.9703410098322331, 5.9585025797193776, 5.9462035931078523, 5.9334364755970883, 5.9201945672830538, 5.906472248153003, 5.8922650704636448, 5.8775698975913349, 5.8623850486478304, 5.846710447935247, 5.8305477780715922, 5.8139006353511338, 5.7967746856198223, 5.7791778186435332, 5.7611202986380228, 5.7426149083139473, 5.7236770834875408, 5.7043250350178356, 5.6845798545778159, 5.6644656005605425, 5.6440093602769714, 5.6232412845432744, 5.6021945907948227, 5.5809055310225615, 5.5594133211182495, 5.5377600286554785, 5.5159904167244429, 5.4941517421921162, 5.4722935076632737, 5.4504671674637271, 5.4287257891331482, 5.407123673168595, 5.3857159350612855, 5.3645580549738225, 5.3437054016534669, 5.3232127383157648, 5.3031337192002468, 5.2835203862431745, 5.2644226757782926, 5.2458879453328349, 5.2279605304003685, 5.2106813405441601, 5.1940875033167417, 5.1782120633054189, 5.1630837421721241, 5.1487267639093588, 5.1351607477495458, 5.1224006693254447, 5.1104568888563904, 5.0993352434107511, 5.0890371987351077, 5.0795600548017736, 5.0708971981536131, 5.0496758441627385, 5.035235583511307, 5.0269601224757174, 5.0241368899958161, 5.0260294770036218, 5.0319314349427096, 5.0411999655997981, 5.0532716799998756, 5.0676644659600019, 5.0839699296055825, 5.1018404200049048, 5.1209738101428304, 5.1410983315851295, 5.1619590167664802, 5.1833067397313082, 5.2048904387219554, 5.2264527980329296, 5.2477294078535719, 5.2684511729632817, 5.2883494935263764, 5.307163508986501, 5.3246485126069736, 5.3405845483103418, 5.354784222205323, 5.3670989055837772, 5.3774227539917172, 5.3856942746717058, 5.3918954869799887, 5.396048985121995, 5.3982133932284011, 5.3984777850531129, 5.3969556314787619, 5.3937787608817773, 5.3890916993053661, 5.3830466273666318, 5.375799070726897, 5.3675043442820085, 5.358314702489551, 5.3483771087785188, 5.3378315212530953, 5.3268095936309585, 5.3154337031098109, 5.3038162350297515, 5.2920590734919566, 5.2802532646145934, 5.2684788332447692, 5.2568047441195578, 5.2452890048419905, 5.2339789112296264, 5.2229114364317129, 5.2121137645497866, 5.2016039680620665, 5.1913918266783954, 5.1814797836418149, 5.1718640340235797, 5.1625357381228669, 5.1534823514349588, 5.1446890604637625, 5.1361403105671313, 5.1278214077047783, 5.1197201701232933, 5.1118285984844718, 5.1041445236664229, 5.096673180550038, 5.0894286438719378, 5.082435049257791, 5.0757275097637908, 5.0693526269527229, 5.0633684874777503, 5.0578440335601753, 5.0528577012595548, 5.0484952368965068, 5.044846632140251, 5.0420021642116506, 5.0400475901521791, 5.039058621844533, 5.0390948973212941, 5.0401937565782573, 5.0423642163571003, 5.045581605958092, 5.0497833627859752, 5.0548664821768199, 5.060687066409959, 5.067062325180351, 5.0737752544466561, 5.0805820788859073, 5.0872224038644758, 5.0934319011605194, 5.0989572541770025, 5.1035730032871323, 5.1070998321608192, 5.1094236762517111, 5.1105147604796732, 5.110445236940051, 5.109403482150392, 5.1077023867231661, 5.1057783029049171, 5.104177020804781, 5.103523646058207, 5.1044749597359722, 5.1076559192848565, 5.1135860519551395, 5.1226055809271962, 5.1348137217337015, 5.1500313434692329, 5.1677966746567501, 5.1873968719293497, 5.2079320018960091, 5.2284032319301872, 5.2478145970652879, 5.2652769695398378, 5.2801024377942962, 5.2918764925493464, 5.3004952387849897, 5.306157757006031, 5.3093116148138115, 5.3105612276512719, 5.3105595404523873, 5.3099077388810985, 5.309083057475906, 5.3084039291906615, 5.3080302640575612, 5.3079890984982372, 5.3082135847116581, 5.3085849695089928, 5.3089706026447834, 5.3092543368110698, 5.3093580564189997, 5.3092881916855141, 5.309088491070133, 5.3087876101324332, 5.3084298675250006, 5.3080700211808365, 5.3077658963987044, 5.3075689634379692, 5.3075132070281708, 5.3076030137560721, 5.3078013044952064, 5.3080196764706677, 5.3081127340293675, 5.3078788536865842, 5.3070691213197705, 5.3054049893074948, 5.3026034672039009, 5.2984068131171602, 5.2926123448417268, 5.2850976639092089, 5.275837443278494, 5.2649096669277657, 5.2524912127123802, 5.2388443230233719, 5.2242964597887731, 5.2092162822817585, 5.1939882460651576, 5.1789878849744362, 5.1645594090983957, 5.1509969027530884, 5.1385301071347804, 5.1273154534597349, 5.1174326252388402, 5.1088864763149067, 5.1016136689167784, 5.0954930037798336, 5.0903581654496248, 5.0860115393905323, 5.0822378683787752, 5.0788167611043846, 5.0755333828940161, 5.0721869832411519, 5.0685971976817203, 5.0646082736341276, 5.0600915026641982, 5.0549462020488392, 5.0490995919745361, 5.0425058794808812, 5.0351448033253616, 5.0270198288909853, 5.0181561187214303, 5.0085983482956626, 4.9984083915459934, 4.9876628677631363, 4.9764505211344687, 4.9648693957359589, 4.9530237714158325, 4.9410208383670149, 4.9289671085588216, 4.9169645883648707, 4.9051067659054706, 4.8934744955618239, 4.8821318872775032, 4.8711223261916361, 4.860464755987147, 4.8501503553547227, 4.8401397210671568, 4.8303606452057002, 4.8207065420369908, 4.8110355477913496, 4.8011702915780337, 4.790898326376829, 4.7799732245109752, 4.7681163914008771, 4.7550197436875159, 4.7403495412031242, 4.7237518630024207, 4.7048604771504632, 4.6833081628124003, 4.6587428703834419, 4.6308503806719754, 4.5993852135524174, 4.5642112157485526, 4.5253521990011931, 4.4830508086909484, 4.4378301568155782, 4.3905477086504003, 4.3424253734664129, 4.2950359100567814, 4.250227029669829, 4.2099743499208806, 4.1761733741425315, 4.1504042924571776, 4.1337214244907914, 4.126520468141452, 4.1285171504449654, 4.1388376653643704, 4.156189650882105, 4.1790658840584136, 4.205935268076086, 4.2353912087458152, 4.2662463926074734, 4.297577746393908, 4.3287331116086669, 4.3593127674264593, 4.3891368020761474, 4.4182057934327448, 4.4466588637957791, 4.4747307011092605, 4.5027078545683921, 4.5308844968898798, 4.5595186967175918, 4.5887916786618996, 4.6187739822069487, 4.6494031532682332, 4.680476995673402, 4.7116642673702209, 4.7425314643800238, 4.7725810100702395, 4.8012939351633301, 4.8281697678508095, 4.8527578590523062, 4.87467704628805, 4.8936234184071132, 4.9093681654524994, 4.9217487057484881, 4.9306565286223734, 4.9360247787381217, 4.9378178862263731], [5.1696474420750711, 5.169190216371141, 5.1678537354820095, 5.1657408992297569, 5.1630138740329308, 5.1598789677263284, 5.1565638040640618, 5.1532864753590184, 5.1502179400971491, 5.1474413300975321, 5.1449146293338019, 5.1424455974534942, 5.1396887472255282, 5.1361725768482884, 5.1313606313642977, 5.1247430081873446, 5.1159474956216346, 5.1048538307889126, 5.0916918064673835, 5.0771037788238473, 5.0621534331712734, 5.0482654787118895, 5.0370875949286136, 5.0302798819960532, 5.0292590022953769, 5.0349480126821344, 5.0475956391303249, 5.0667179970623302, 5.091180524243172, 5.1193931065537086, 5.1495592317104606, 5.1799144637448524, 5.2089079963329166, 5.2353093907998289, 5.2582465920557251, 5.2771940759560234, 5.2919321670574409, 5.3024944637121871, 5.3091142074029554, 5.3121750050743675, 5.3121675928598675, 5.309652329815842, 5.3052264080792328, 5.2994948585472725, 5.2930448908089414, 5.2864236218100817, 5.280119623857761, 5.2745488648578451, 5.2700455126616381, 5.2668577853007559, 5.2651486410770394, 5.2650007164955364, 5.2664246181961056, 5.2693695062865231, 5.2737348821585561, 5.2793825939937937, 5.2861482587781454, 5.2938515262279262, 5.302304838101783, 5.3113205375274966, 5.3207163414371212, 5.3303193002934695, 5.3399684362305893, 5.3495162812786541, 5.3588295409228524, 5.3677890939876889, 5.3762895154754702, 5.3842382804438129, 5.3915547784120434, 5.3981692417561478, 5.404021669548503, 5.4090608109721865, 5.4132432599515266, 5.4165327048830196, 5.4188993741305636, 5.4203197190896937, 5.4207763820396435, 5.4202585057018968, 5.418762455511227, 5.4162930441706889, 5.4128653710350321, 5.4085074157093471, 5.4032635544383734, 5.3971991960795576, 5.3904067552704449, 5.3830131823723804, 5.3751892337563065, 5.3671605618343978, 5.3592204874472049, 5.351743927468779, 5.345201315999879, 5.3401704124875664, 5.3373426163569828, 5.3375189121499824, 5.3415891988973847, 5.3504882215462759, 5.3651227213490156, 5.3862690050382298, 5.4144485862794793, 5.4498008561301186, 5.4919821822322898, 5.5401244385636659, 5.5928773183136657, 5.6485374719812054, 5.7052407594427565, 5.7611738505244894, 5.814757721843641, 5.8647690567540236, 5.9103880968476359, 5.9511822688237412, 5.9870468093210496, 6.0181256205951774, 6.0447309308056365, 6.0672732263558045, 6.0862064280603487, 6.1019887482802719, 6.1150571818551587, 6.1258126463431584, 6.134612785678371, 6.1417698972049557, 6.1475520225523503, 6.152185792710485, 6.1558600692605863, 6.1587297637548577, 6.1609194577252309, 6.1625266071796645, 6.1636242182734575, 6.1642629424683228, 6.1644725732800278, 6.1644289156813947, 6.1642976956645166, 6.1640781704949719, 6.1637690987064762, 6.1633687347233383, 6.162874821302939, 6.162284579770577, 6.1615946980101928, 6.1608013161680706, 6.1599000100199337, 6.1588857719449015, 6.1577529894458465, 6.1564954211504457, 6.1551061702250784, 6.153577655132489, 6.1519015776646917, 6.1500688881865653, 6.1480697480317295, 6.1458934890031687, 6.1435285699451496, 6.140962530374356, 6.1381819411850147, 6.1351723524774977, 6.1319182386057216, 6.1284029405934017, 6.1246086061406393, 6.1205161275261588, 6.1161050778159911, 6.1113536459156039, 6.1062385711530354, 6.1007350782632903, 6.0948168138573298, 6.0884557857133919, 6.0816223065244515, 6.074284944080607, 6.0664104802639436, 6.0579638816904167, 6.0489082853509872, 6.0392050031888056, 6.0288135501957409, 6.017691701321529, 6.0057955832522207, 5.9930798079188179, 5.9794976554181609, 5.9650013148381458, 5.9495421922255156, 5.9330712955618869, 5.9155397070349789, 5.8968991530068333, 5.8771026817585668, 5.8561054581806902, 5.8338656828987672, 5.8103456406824288, 5.7855128791741759, 5.7593415137955279, 5.7318136479736781, 5.7029208894813124, 5.6726659336983936, 5.6410641731558195, 5.6081452801834182, 5.5739546965050497, 5.5385549511643717, 5.5020267174997519, 5.4644695125906972, 5.4260019404493995, 5.386761385030133, 5.3469030724849622, 5.3065984450750054, 5.2660328219743748, 5.2254023639087288, 5.1849104067938034, 5.1447632804981627, 5.1051657775681969, 5.066316477546752, 5.0284031597859631, 4.9915985467585067, 4.956056608025011, 4.9219096219624694, 4.8892661406360647, 4.85820993795876, 4.8287999495636873, 4.8010711425091213, 4.7750361915571329, 4.7506877923562971, 4.7280014141644218, 4.7069382868834468, 4.6874484277340729, 4.6694735384448638, 4.6529496396826531, 4.6378093504777755, 4.623983761776655, 4.6114038910128663, 4.6000017359290544, 4.5897109692624456, 4.5804673309390607, 4.5722087816444521, 4.5648754822371505, 4.5584096589771068, 4.5527554065928726, 4.5478584713384294, 4.5436660457111646, 4.5401265964214303, 4.5371897382292525, 4.5348061588076174, 4.5329275940144518, 4.5315068488461376, 4.5304978567405545, 4.5298557685746337, 4.5295370623908573, 4.5294996653252477, 4.5297030801499822, 4.5301085100779916, 4.5306789768371631, 4.5313794283771172, 4.5321768338380091, 4.5330402645266661, 4.5339409605850154, 4.5348523837868351, 4.5357502574669883, 4.5366125949876022, 4.5374197183956042, 4.5381542690500449, 4.538801212015465, 4.5393478359525847, 4.5397837501055438, 4.5401008798037692, 4.5402934616783552, 4.5403580395495018, 4.5402934616783437, 4.5401008798037426, 4.5397837501055589, 4.539347835952567, 4.5388012120154544, 4.5381542690500316, 4.5374197183956131, 4.5366125949876128, 4.5357502574670105, 4.5348523837868306, 4.5339409605850278, 4.533040264526651, 4.5321768338379913, 4.5313794283771189, 4.5306789768371667, 4.5301085100780059, 4.5297030801499583, 4.5294996653252344, 4.5295370623908502, 4.5298557685746372, 4.5304978567405483, 4.5315068488461367, 4.5329275940144527, 4.5348061588076183, 4.5371897382292437, 4.540126596421409, 4.5436660457111895, 4.5478584713384151, 4.5527554065928415, 4.558409658977097, 4.564875482237138, 4.5722087816444619, 4.5804673309390616, 4.5897109692624429, 4.6000017359290455, 4.6114038910128947, 4.6239837617766586, 4.637809350477772, 4.6529496396826717, 4.6694735384448798, 4.6874484277340551, 4.7069382868834531, 4.7280014141644235, 4.7506877923562891, 4.7750361915571373, 4.8010711425091195, 4.8287999495636802, 4.858209937958744, 4.8892661406360602, 4.9219096219624232, 4.9560566080250243, 4.9915985467585271, 5.0284031597859897, 5.0663164775466987, 5.1051657775681951, 5.1447632804981804, 5.1849104067938381, 5.2254023639087652, 5.2660328219743979, 5.3065984450750152, 5.3469030724849755, 5.3867613850301401, 5.4260019404493818, 5.4644695125907106, 5.5020267174997581, 5.5385549511643681, 5.5739546965050373, 5.6081452801834466, 5.6410641731558462, 5.6726659336983722, 5.7029208894813186, 5.7318136479736701, 5.7593415137955022, 5.7855128791741688, 5.810345640682435, 5.8338656828987761, 5.8561054581807062, 5.8771026817585579, 5.8968991530068369, 5.9155397070349807, 5.9330712955618923, 5.9495421922255352, 5.9650013148381715, 5.9794976554181822, 5.9930798079188259, 6.0057955832522296, 6.0176917013215308, 6.0288135501957543, 6.0392050031888216, 6.0489082853509988, 6.0579638816904371, 6.0664104802639693, 6.0742849440806115, 6.0816223065244754, 6.0884557857133981, 6.0948168138573422, 6.1007350782633099, 6.106238571153046, 6.1113536459156093, 6.1161050778160089, 6.1205161275261624, 6.1246086061406508, 6.1284029405934, 6.1319182386057216, 6.1351723524775039, 6.138181941185012, 6.1409625303743516, 6.1435285699451443, 6.1458934890031758, 6.1480697480317366, 6.1500688881865537, 6.1519015776646988, 6.1535776551324926, 6.1551061702250731, 6.1564954211504395, 6.1577529894458527, 6.1588857719449015, 6.1599000100199301, 6.1608013161680759, 6.1615946980101821, 6.162284579770585, 6.1628748213029425, 6.1633687347233357, 6.1637690987064868, 6.1640781704949701, 6.1642976956645246, 6.1644289156813983, 6.1644725732800225, 6.1644507513467133, 6.1643852443917835, 6.1642759288904339, 6.1641225987687847, 6.163924965104882, 6.1636826557100886, 6.1633952145902668, 6.1630621012869984, 6.1626826900981211, 6.1622562691776483, 6.1617820395143568, 6.1612591137890602, 6.160686515109929, 6.1600631756256252, 6.1593879350160448, 6.1586595388601033, 6.1578766368808076, 6.157037781066955, 6.1561414236720733, 6.1551859150902377, 6.1541695016094655, 6.1530903230429601, 6.1519464102394119, 6.150735682472888, 6.1494559447143979, 6.1481048847866644, 6.146680070404412, 6.1451789461033526, 6.1435988300610251, 6.1419369108139916, 6.1401902438762832, 6.1383557482648241, 6.1364302029390414, 6.1344102431624012, 6.1322923567954248, 6.1300728805306175, 6.1277479960818049, 6.1253137263419344, 6.122765931525235, 6.1201003053119489, 6.1173123710164949, 6.1143974778018677, 6.1113507969671277, 6.1081673183370144, 6.1048418467872061, 6.1013689989420259, 6.0977432000864669, 6.0939586813385533, 6.0900094771339699, 6.085889423080058, 6.0815921542431548, 6.07711110393981, 6.0724395031102105, 6.0675703803598093, 6.0624965627649434, 6.0572106775467764, 6.0517051547288752, 6.0459722309049511, 6.0400039542545825, 6.0337921909582004, 6.0273286331755305, 6.0206048087660706, 6.0136120929456442, 6.0063417220874689, 5.9987848098939152, 5.9909323661797647, 5.9827753185260706, 5.9743045370788019, 5.9655108627834439, 5.9563851393614442, 5.9469182493483697, 5.9371011545253181, 5.9269249410843328, 5.9163808698743283, 5.9054604320742916, 5.8941554106363334, 5.8824579478289376, 5.8703606191900422, 5.8578565141686321, 5.8449393236907472, 5.8316034348279544, 5.8178440326731016, 5.8036572094359986, 5.7890400806586833, 5.7739909083142287, 5.758509230392983, 5.7425959963930033, 5.726253707917647, 5.7094865633407048, 5.6923006052315799, 5.6747038689366365, 5.6567065303985791, 5.6383210509600143, 5.6195623165544024, 5.6004477683442904, 5.5809975215319172, 5.5612344687608299, 5.5411843642611593, 5.5208758846871433, 5.5003406624716584, 5.4796132875053107, 5.4587312730509252, 5.4377349820579592, 5.4166675104550235, 5.3955745245909101, 5.3745040507710469, 5.3535062157956137, 5.3326329385379605, 5.3119375738873833, 5.2914745117835791, 5.2712987355488599, 5.2514653452223374, 5.2320290530548403, 5.2130436596625325, 5.1945615204927673, 5.176633013152955, 5.1593060167358082, 5.1426254144869619, 5.1266326309731571, 5.1113652143070762, 5.0968564729777786, 5.0831351754534371, 5.0702253190249662, 5.0581459724108351, 5.0469111945382279, 5.0365300297459372, 5.0270065775191606, 5.0183401328595894, 4.9974084344367933, 4.9837566038244621, 4.9767610596719294, 4.9756314025798511, 4.9795046302083854, 4.9875230892400948, 4.9988897435805866, 5.012900285308632, 5.0289555099323149, 5.0465591165707009, 5.0653062142044343, 5.0848670229846888, 5.1049691393931118, 5.1253806509945186, 5.1458955067118701, 5.1663219039387158, 5.1864740068779316, 5.2061670013389936, 5.2252152654170239, 5.2434332571020432, 5.2606385743599162, 5.2766565335831466, 5.2913255513982929, 5.3045026162189073, 5.3160682058668209, 5.3259301400971957, 5.3340260335479046, 5.3403242086121665, 5.3448231101852945, 5.3475494111121797, 5.3485550938843476, 5.3479138371766872, 5.3457170312892766, 5.3420697068550229, 5.3370866010256739, 5.3308885185024542, 5.3235990818543764, 5.3153419132445103, 5.306238250901262, 5.2964049784438689, 5.285953031632963, 5.2749861424780233, 5.2635998819468215, 5.2518809671599733, 5.2399068048802144, 5.2277452489353236, 5.2154545541637605, 5.2030835132435156, 5.1906717653903023, 5.1782502676059252, 5.1658419202045414, 5.1534623389856193, 5.1411207668108938, 5.1288211175101326, 5.1165631448888798, 5.1043437289388827, 5.0921582698726997, 5.0800021779889573, 5.0678724432851592, 5.0557692628729072, 5.0436976963847924, 5.0316693095972589, 5.0197037545144694, 5.0078302204960661, 4.9960886763388626, 4.98453080861833, 4.9732205486372045, 4.9622340711288011, 4.951659145057941, 4.9415937234732352, 4.932143678526697, 4.923419622256997, 4.9155328052820577, 4.9085901541000814, 4.902688590596405, 4.8979088687679786, 4.8943092545256546, 4.8919194530480059, 4.8907352418155963, 4.8907142847162088, 4.8917735760789576, 4.8937888922754329, 4.8965965196624319, 4.8999973957533909, 4.9037636653770811, 4.9076475358713765, 4.9113922312567748, 4.9147448011538817, 4.9174705280397424, 4.919368671552049, 4.9202892492963048, 4.9201504244511476, 4.9189557900106049, 4.9168103564251417, 4.9139333501759683, 4.9106650812962718, 4.9074643330370087, 4.904892326806948, 4.9035798231813272, 4.9041758440624923, 4.9072800755713342, 4.913365836447575, 4.9227053192439367, 4.9353117331107175, 4.9509122286747953, 4.9689604762850879, 4.9886897090736158, 5.0091985353996566, 5.0295555387824793, 5.0489060018629113, 5.0665647325355838, 5.0820817650287129, 5.0952717796921094, 5.1062033773571276, 5.1151510293030222, 5.1225198547812996, 5.1287592180273212, 5.1342829446014946, 5.1394106090181726, 5.1443371730027643, 5.14913029504386, 5.1537487733429659, 5.1580731377186169, 5.1619399808007325, 5.165173921861439, 5.1676138146893322, 5.1691320751994851, 5.1696474420750711, 5.169303135978268, 5.1682801706774724, 5.1666079105575911, 5.1643335959661973, 5.161519625842157, 5.1582394696961869, 5.1545720415470333, 5.1505944826577528, 5.1463735227112632, 5.1419559189637916, 5.1373588796252045, 5.1325617903966485, 5.1275008662453718, 5.1220683986011704, 5.1161179284257274, 5.1094758944694423, 5.1019591727344293, 5.0933966864870994, 5.0836522710211298, 5.0726455327832483, 5.0603676856515483, 5.0468901845160703, 5.0323651383841508, 5.0170176585542414, 5.0011312515057318, 4.9850280092336803, 4.9690457027815764, 4.9535140125715156, 4.9387320800118601, 4.9249493490145149, 4.9123512737981923, 4.9010509071372246, 4.8910867010851655, 4.8824261458663845, 4.8749742593066392, 4.8685855205705701, 4.863077672700884, 4.8582458934041179, 4.8538760968336216, 4.8497564975119083, 4.8456869566393213, 4.8414859750906265, 4.8369954581434245, 4.8320835427291788, 4.826645856684471, 4.8206055899093565, 4.8139127215863518, 4.8065426859396965, 4.7984946873441157, 4.7897898049729886, 4.7804689643396543, 4.7705908015808021, 4.7602294075877341, 4.7494719133734806, 4.7384158650407304, 4.7271663357959728, 4.7158327328362768, 4.7045252774874022, 4.6933511660449163, 4.6824104539655158, 4.6717917441367902, 4.6615677968818314, 4.6517912106014734, 4.6424903430339501, 4.6336656503057414, 4.6252866121246203, 4.6172893867982339, 4.6095753021733525, 4.6020102438215869, 4.5944249580175098, 4.5866162541162669, 4.5783490794225932, 4.5693594598975391, 4.5593583613956845, 4.5480366361213811, 4.5350713825376179, 4.5201342644318423, 4.5029025981569513, 4.4830743020382853, 4.4603880551240227, 4.4346501315485884, 4.4057691865504527, 4.3737995039039781, 4.3389915254203704, 4.3018455317593798, 4.2631600228117987, 4.2240611794709517, 4.1859954168741602, 4.1506664340739219, 4.119904932155011, 4.0954753994086177, 4.078847529243725, 4.0709811520483559, 4.072180828374834, 4.0820615597618861, 4.099634126705328, 4.1234823054084426, 4.1519814627610785, 4.1835066818199858, 4.2165943418314011, 4.2500429321492321, 4.2829569344690261, 4.3147474107854942, 4.3451050413442207, 4.3739586957393666, 4.4014281852595376, 4.4277756543412243, 4.4533571101388851, 4.4785741487324833, 4.5038259160728282, 4.5294624119009494, 4.5557418730819528, 4.5827964416495988, 4.6106108552567884, 4.6390179282069042, 4.6677120830790502, 4.6962787885373745, 4.7242345864620772, 4.7510705644042162, 4.776292215924542, 4.7994504234980688, 4.8201609997677446, 4.8381128905499784, 4.8530670938195302, 4.8648493311315253, 4.8733396364604866, 4.8784616016545108, 4.8801733481079124], [5.0016331923933182, 5.0008411786210187, 4.9985006668942011, 4.994716544904322, 4.9896574532101567, 4.9835449601625861, 4.9766359343063957, 4.9691970805229957, 4.9614720661110709, 4.953643873943804, 4.9457975438627706, 4.9378906483116305, 4.9297399633119801, 4.921032213492035, 4.9113641762894398, 4.9003130164469653, 4.8875322031524817, 4.8728626777746671, 4.856443737806992, 4.8388035005140297, 4.8209049778519031, 4.8041222971076643, 4.7901263851101517, 4.780675574523757, 4.7773356732297287, 4.7811882648187858, 4.7926073496738324, 4.8111744680804058, 4.8357585609553597, 4.8647293395093429, 4.8962323840681368, 4.928448771526817, 4.9597866934323074, 4.988987674436606, 5.0151577345495877, 5.0377469714245047, 5.0565017728382768, 5.0714080498316996, 5.0826365648611747, 5.0904953768529388, 5.0953904693170422, 5.0977935630301161, 5.098215390924576, 5.0971827920632542, 5.0952184562793246, 5.0928227459285411, 5.0904575618277015, 5.0885326047421788, 5.0873945648388439, 5.0873197485241963, 5.0885104621774193, 5.0910951790127745, 5.0951321930323994, 5.1006161812232511, 5.1074869008597563, 5.1156391656802187, 5.1249332696767933, 5.1352051378279207, 5.1462756468783217, 5.1579587428988161, 5.1700681581500527, 5.1824226790401378, 5.1948500303654912, 5.2071895170247613, 5.2192936068066746, 5.2310286533585098, 5.2422749545998943, 5.2529263257482164, 5.2628893436620432, 5.2720823948505977, 5.2804346363437906, 5.2878849586252263, 5.2943810241216402, 5.2998784438571489, 5.3043401490314448, 5.3077360135116161, 5.310042787536486, 5.3112444123121065, 5.3113327996033757, 5.310309179727617, 5.308186144988329, 5.3049905422027974, 5.3007673947130369, 5.2955850556676456, 5.2895418007292703, 5.2827740435554897, 5.275466276075174, 5.2678626604808843, 5.2602798806542959, 5.2531203376020672, 5.2468839911086, 5.2421760902779315, 5.2397067786761529, 5.2402773713514748, 5.2447475261389629, 5.2539784194636168, 5.2687503673305871, 5.2896597067434676, 5.3170085639364055, 5.3507098184660329, 5.3902337758100058, 5.4346184930837849, 5.4825512296196113, 5.5325083569265558, 5.5829236799698503, 5.6323483648089772, 5.6795719356062904, 5.7236888838581841, 5.7641118072742561, 5.8005435152960683, 5.8329249856222871, 5.8613747064902642, 5.8861305660422776, 5.9075005532036196, 5.9258245688128506, 5.9414470723121671, 5.9546989663550196, 5.9658866795634049, 5.9752864775089654, 5.9831423382748579, 5.9896661005556293, 5.9950389397326838, 5.9994135142048197, 6.002916343427712, 6.0056501375044622, 6.0076959075014322, 6.009114757947426, 6.0099493085721303, 6.0102247194530776, 6.0101662519802348, 6.0099906309119433, 6.0096971995140773, 6.009284860611193, 6.0087520726496217, 6.0080968441674445, 6.0073167266537197, 6.0064088057738632, 6.0053696909338514, 6.004195503151915, 6.0028818612017476, 6.0014238659889934, 5.9998160831192093, 5.9980525236145565, 5.9961266227350505, 5.9940312168612468, 5.9917585183969759, 5.9893000886550922, 5.9866468086955669, 5.9837888480939929, 5.9807156316319405, 5.9774158039168075, 5.9738771919605886, 5.9700867657751244, 5.9660305970750445, 5.9616938162243009, 5.9570605676137758, 5.9521139637232885, 5.9468360382004004, 5.941207698382633, 5.9352086778054591, 5.9288174893737553, 5.9220113800377829, 5.914766288006529, 5.9070568037573494, 5.8988561363658105, 5.8901360869883748, 5.8808670316864902, 5.8710179161924065, 5.8605562656839902, 5.8494482131658874, 5.8376585506471148, 5.8251508079606342, 5.8118873647838569, 5.7978296021836719, 5.7829381008043201, 5.7671728936215176, 5.7504937819586663, 5.7328607241512213, 5.7142343067780788, 5.6945763086618992, 5.6738503677484475, 5.6520227603594417, 5.6290633009901123, 5.6049463685809062, 5.579652061796053, 5.5531674810448592, 5.5254881285451729, 5.4966194094600365, 5.466578206926151, 5.4353944916710333, 5.4031129131386928, 5.3697943041495071, 5.33551701601791, 5.3003779870768888, 5.2644934364711986, 5.2279990690384839, 5.1910496784778157, 5.1538180471674417, 5.1164930638818582, 5.0792770163313126, 5.0423820635773726, 5.0060259518123544, 4.9704271015204649, 4.9357992585074948, 4.9023459581070341, 4.8702550930081543, 4.8396938934086968, 4.8108046186236537, 4.7837012203675409, 4.7584671722670802, 4.735154574355362, 4.7137845450547626, 4.6943488177328661, 4.6768123752383364, 4.6611168927176401, 4.6471847219172284, 4.6349231405832976, 4.624228606255727, 4.6149907895993998, 4.6070962116382157, 4.6004313646500394, 4.5948852515044747, 4.59035132773732, 4.5867288712527596, 4.5839238345689663, 4.5818492538162392, 4.5804252982132931, 4.5795790451416476, 4.5792440611772705, 4.5793598605151473, 4.5798713009237053, 4.5807279651791371, 4.5818835639830606, 4.5832953854296825, 4.5849238066381215, 4.5867318754062323, 4.5886849637051705, 4.5907504904069558, 4.5928977076330746, 4.5950975432991168, 4.5973224915681765, 4.5995465427856015, 4.6017451448390947, 4.6038951886005641, 4.6059750110107922, 4.6079644103579449, 4.609844669291002, 4.6115985820434489, 4.6132104831841509, 4.614666275940202, 4.6159534587435491, 4.6170611491395972, 4.6179801045693445, 4.6187027398074436, 4.619223141020055, 4.6195370765128718, 4.6196420042862627, 4.6195370765128594, 4.6192231410200328, 4.6187027398074534, 4.6179801045693267, 4.6170611491395901, 4.6159534587435411, 4.6146662759402108, 4.6132104831841625, 4.6115985820434666, 4.6098446692909949, 4.6079644103579565, 4.6059750110107851, 4.6038951886005535, 4.6017451448390982, 4.5995465427856042, 4.5973224915681881, 4.5950975432990928, 4.5928977076330613, 4.5907504904069434, 4.588684963705175, 4.5867318754062314, 4.584923806638125, 4.5832953854296852, 4.5818835639830571, 4.580727965179122, 4.5798713009236849, 4.5793598605151713, 4.5792440611772482, 4.5795790451416245, 4.580425298213278, 4.5818492538162214, 4.5839238345689752, 4.5867288712527658, 4.590351327737312, 4.5948852515044694, 4.6004313646500732, 4.6070962116382193, 4.6149907895993936, 4.6242286062557465, 4.6349231405833136, 4.6471847219172151, 4.6611168927176525, 4.6768123752383346, 4.6943488177328581, 4.7137845450547733, 4.7351545743553629, 4.7584671722670731, 4.7837012203675258, 4.8108046186236519, 4.8396938934086551, 4.8702550930081596, 4.9023459581070545, 4.9357992585075214, 4.9704271015204213, 5.0060259518123509, 5.0423820635773922, 5.0792770163313401, 5.1164930638818884, 5.1538180471674657, 5.1910496784778255, 5.2279990690384981, 5.2644934364712022, 5.3003779870768764, 5.3355170160179162, 5.3697943041495169, 5.4031129131386821, 5.4353944916710262, 5.4665782069261795, 5.4966194094600578, 5.5254881285451534, 5.5531674810448646, 5.5796520617960494, 5.6049463685808822, 5.6290633009901034, 5.6520227603594417, 5.6738503677484555, 5.6945763086619099, 5.7142343067780725, 5.7328607241512275, 5.7504937819586663, 5.7671728936215194, 5.7829381008043379, 5.7978296021836941, 5.8118873647838765, 5.8251508079606404, 5.8376585506471201, 5.8494482131658874, 5.8605562656840018, 5.8710179161924234, 5.8808670316865017, 5.8901360869883925, 5.8988561363658336, 5.9070568037573539, 5.9147662880065495, 5.9220113800377874, 5.928817489373766, 5.9352086778054796, 5.941207698382641, 5.9468360382004084, 5.9521139637233054, 5.957060567613774, 5.9616938162243152, 5.9660305970750427, 5.9700867657751244, 5.9738771919605957, 5.9774158039168057, 5.9807156316319263, 5.9837888480939885, 5.9866468086955669, 5.9893000886550967, 5.9917585183969653, 5.9940312168612531, 5.9961266227350496, 5.9980525236145397, 5.999816083119204, 6.0014238659889916, 6.0028818612017485, 6.0041955031519096, 6.0053696909338505, 6.0064088057738543, 6.0073167266537277, 6.0080968441674418, 6.0087520726496253, 6.0092848606112019, 6.0096971995140729, 6.0099906309119451, 6.0101662519802366, 6.010224719453082, 6.0101954918909453, 6.0101077740178335, 6.0099614602315645, 6.0097563743886493, 6.0094922695942179, 6.0091688279080744, 6.0087856599664065, 6.0083423045192967, 6.0078382278835436, 6.0072728233111574, 6.006645410272669, 6.0059552336557243, 6.0052014628782286, 6.0043831909162844, 6.0034994332465361, 6.0025491267027364, 6.0015311282467803, 6.0004442136537079, 5.9992870761111883, 5.9980583247333277, 5.9967564829890589, 5.9953799870456477, 5.993927184027867, 5.9923963301931709, 5.9907855890244184, 5.9890930292408333, 5.9873166227289545, 5.9854542423951891, 5.9835036599423166, 5.9814625435725031, 5.9793284556199291, 5.977098850116505, 5.9747710702953132, 5.9723423460364282, 5.9698097912609587, 5.9671704012800575, 5.9644210501063819, 5.9615584877369692, 5.9585793374172571, 5.9554800928977771, 5.9522571156966828, 5.9489066323821307, 5.9454247318919222, 5.9418073629084747, 5.9380503313106985, 5.9341492977260923, 5.930099775210194, 5.9258971270829912, 5.921536564956086, 5.9170131469878697, 5.9123217764087528, 5.9074572003632779, 5.9024140091211121, 5.8971866357147746, 5.8917693560688544, 5.88615628969188, 5.880341401010063, 5.8743185014310093, 5.8680812522336261, 5.8616231683916187, 5.8549376234480173, 5.8480178555698945, 5.840856974925777, 5.8334479725400987, 5.8257837307955018, 5.8178570357665311, 5.8096605915865265, 5.8011870370640741, 5.7924289647841078, 5.7833789429452604, 5.7740295402032675, 5.7643733538073665, 5.754403041333549, 5.7441113563344244, 5.7334911882389612, 5.7225356068473578, 5.7112379117739502, 5.6995916871950536, 5.6875908622558997, 5.6752297774823122, 5.6625032575237295, 5.6494066905259004, 5.6359361143898239, 5.6220883101163279, 5.607860902362046, 5.593252467237579, 5.5782626472623811, 5.5628922732479422, 5.5471434927111591, 5.5310199042206456, 5.5145266968465236, 5.4976707936230138, 5.4804609976366798, 5.4629081390287686, 5.4450252208489385, 5.4268275613230914, 5.4083329297119356, 5.3895616725466002, 5.3705368266483209, 5.3512842149856512, 5.331832521118999, 5.3122133377436729, 5.2924611847029466, 5.2726134918200902, 5.2527105420254578, 5.2327953705540926, 5.2129136164838457, 5.1931133235908948, 5.1734446884281873, 5.1539597546813543, 5.1347120542132645, 5.1157561967461911, 5.0971474118064855, 5.0789410483145829, 5.0611920389731182, 5.0439543383035268, 5.0272803447218912, 5.0112203183328061, 4.9958218070709792, 4.9811290943579696, 4.9671826815062881, 4.9540188176583442, 4.9416690890894044, 4.930160078247618, 4.9195131010090885, 4.9097440283673262, 4.9008631962611497, 4.8928754045899714, 4.8742376262674343, 4.8633122290859117, 4.8594649298392421, 4.8618208885692624, 4.8693803371120419, 4.8811227949891052, 4.8960867865688655, 4.9134205431536664, 4.932405830804873, 4.9524607613425644, 4.9731285251932604, 4.9940583445996429, 5.0149835167218946, 5.0356998622650782, 5.0560465681888358, 5.0758904284520083, 5.0951138249509986, 5.1136063768218367, 5.1312599385804241, 5.1479664813801715, 5.1636183055866107, 5.1781099865348557, 5.1913414428866425, 5.2032215395173749, 5.2136716957360312, 5.2226290621557716, 5.2300489472214151, 5.2359063040307108, 5.2401962144180203, 5.2429334163917529, 5.2441510030904785, 5.24389847207848, 5.2422393240574792, 5.2392484050582322, 5.2350091632992823, 5.2296109590159849, 5.2231465295662964, 5.2157096781581176, 5.2073932257823277, 5.1982872437548355, 5.1884775686943261, 5.1780445919417177, 5.1670623101096362, 5.1555976213012613, 5.1437098513866362, 5.1314504956585747, 5.1188631625910626, 5.1059837079289379, 5.0928405487816688, 5.0794551487203208, 5.0658426660813927, 5.0520127587373036, 5.0379705394216376, 5.0237176761421969, 5.0092536320294565, 4.994577037836498, 4.979687187850617, 4.9645856457923605, 4.9492779409688561, 4.9337753261813475, 4.9180965574452458, 4.902269641455784, 4.8863334802197791, 4.8703393240857089, 4.8543519258094312, 4.838450271216753, 4.8227277491213938, 4.8072916177797822, 4.7922616311708159, 4.777767709731533, 4.763946580253152, 4.7509373703715525, 4.7388762239082398, 4.7278901002100637, 4.7180900255556804, 4.7095641657346512, 4.7023711714663232, 4.6965342974081832, 4.6920367987968143, 4.6888190609498919, 4.6867778181936712, 4.6857676820249212, 4.6856050434343555, 4.6860742659101371, 4.6869359678297666, 4.6879371238217198, 4.6888227015288457, 4.6893485863572231, 4.6892956102752947, 4.6884845543941243, 4.6867919879772995, 4.6841666769311745, 4.6806459769549829, 4.6763710656228294, 4.6715990491773418, 4.666708977412525, 4.6621978379442996, 4.6586621055429109, 4.656761004900801, 4.6571599407445285, 4.6604568541796976, 4.6671000574686943, 4.6773117331745206, 4.6910342666576117, 4.7079146642347602, 4.7273349510136979, 4.7484856236113888, 4.7704687580524201, 4.7924109000945698, 4.8135650417104046, 4.8333850208390663, 4.8515624220507618, 4.868023475714871, 4.882890353535192, 4.8964169726157509, 4.9089132134977147, 4.920672438262935, 4.931914890027369, 4.9427545392862919, 4.9531908164927163, 4.9631213262538321, 4.9723683955828939, 4.9807115129269413, 4.9879189011801417, 4.9937737782489409, 4.9980934117528193, 5.0007411871444107, 5.0016331923933182, 5.0010377889629432, 4.9992616630317919, 4.9963349981162617, 4.9923077700836469, 4.9872489268557123, 4.9812446542713227, 4.9743952916445622, 4.9668105395962368, 4.9586028097232946, 4.9498788909741931, 4.9407305138073143, 4.9312248148106228, 4.921396053419766, 4.9112401099208727, 4.9007132098569564, 4.8897359199602581, 4.878202757257001, 4.8659968460040171, 4.853008126518457, 4.8391528803165977, 4.8243919660632955, 4.8087452411789231, 4.7923001358430515, 4.7752131217583598, 4.7577037202533443, 4.7400415891042549, 4.7225280234808222, 4.7054738417858823, 4.6891760455188205, 4.6738957832522647, 4.6598399637353021, 4.6471483474173736, 4.6358871651082509, 4.626049403162261, 4.6175610306842492, 4.6102917866409641, 4.6040687937550739, 4.5986912387871763, 4.5939445972712365, 4.5896132822407152, 4.5854910503081499, 4.5813889149034202, 4.5771406407830861, 4.5726061064229722, 4.5676729283199791, 4.5622567651796349, 4.5563006868927234, 4.5497739276065046, 4.542670263288854, 4.5350061751752264, 4.5268188893025503, 4.5181643230455713, 4.5091149237755204, 4.4997573527778769, 4.4901899491859414, 4.4805199036070302, 4.4708600790150248, 4.4613254368559945, 4.4520290581687103, 4.4430777909663384, 4.4345676030591639, 4.426578769434161, 4.4191710695432977, 4.4123792059944087, 4.406208676017247, 4.4006323259392657, 4.3955877946610533, 4.3909760063416332, 4.3866608108924554, 4.3824698030122704, 4.3781962888320169, 4.3736023275957301, 4.3684227676333318, 4.3623702327814966, 4.3551411059796399, 4.346422705835649, 4.33590205946658, 4.3232769334545198, 4.3082700739440956, 4.2906478826036754, 4.2702449316132371, 4.2469956457569848, 4.2209739085316338, 4.1924399376499686, 4.161891132252439, 4.1301094633522268, 4.0981926210766524, 4.0675508900525781, 4.0398494967371583, 4.0168811108090487, 4.0003687329014248, 3.9917244274372945, 3.9918157252007229, 4.0008043688993524, 4.0181091831828555, 4.0425072895860872, 4.0723427538300019, 4.1057816096167397, 4.1410494772946285, 4.1766082613412827, 4.2112568741302994, 4.2441638983227126, 4.2748515963845612, 4.3031519075145868, 4.3291504276368684, 4.3531280224748716, 4.3755042558199913, 4.3967832906707205, 4.4175014736885752, 4.4381761248084208, 4.4592565705430358, 4.4810804398703095, 4.5038398033898597, 4.5275620406763473, 4.5521088945580415, 4.577194207346043, 4.6024172285839047, 4.6273053892196243, 4.6513590808866265, 4.6740915925107638, 4.6950594959976959, 4.7138815371242817, 4.7302465845610957, 4.7439128705629328, 4.7547014971854376, 4.7624871644568119, 4.7671886065359539, 4.7687605787601921], [4.8130319137760944, 4.8119323122414279, 4.808671446265671, 4.8033621330705456, 4.7961883606657683, 4.78739698673317, 4.7772825054489338, 4.7661631385107821, 4.7543482116907754, 4.7420992805782038, 4.7295901259619724, 4.7168727959927752, 4.70385774254797, 4.6903155332283859, 4.6759056892835664, 4.6602351660067622, 4.6429451484511857, 4.6238203147054726, 4.6029093142488318, 4.5806384617816152, 4.5578926279294656, 4.5360301999521839, 4.5167985473296115, 4.5021310175176845, 4.4938412154500078, 4.4932777311422862, 4.5010385259582986, 4.5168402348109593, 4.5395852481136965, 4.5675942943711414, 4.5989173965276704, 4.6316279773334932, 4.664036605243461, 4.6948052813938173, 4.7229766988436133, 4.7479473642814138, 4.7694128847154289, 4.7873059688445725, 4.8017389092784759, 4.8129554657818518, 4.8212928035962186, 4.8271520027295072, 4.8309749284415506, 4.8332253312776086, 4.8343725122473336, 4.8348764931737866, 4.8351742274678111, 4.8356668864713175, 4.8367086096764318, 4.838597287656234, 4.8415679530889086, 4.8457892114633756, 4.8513628943607046, 4.8583268234444095, 4.8666602926425639, 4.8762916587959513, 4.887107307070929, 4.8989612340067401, 4.9116845558211075, 4.9250943772741769, 4.9390016168721376, 4.9532175495259576, 4.9675589766671733, 4.9818520533898525, 4.9959348874957676, 5.0096590775462264, 5.0228903812010293, 5.0355087080504113, 5.047407619806175, 5.0584935013149517, 5.068684543355932, 5.0779096562171508, 5.0861074140738367, 5.0932251157467059, 5.0992180383743557, 5.104048957343247, 5.1076880086851677, 5.1101129791131497, 5.1113101237922924, 5.1112756323689963, 5.1100178886032088, 5.1075606958216833, 5.1039476648088531, 5.0992479745613073, 5.0935637058456065, 5.0870388909355881, 5.0798702878135158, 5.0723196289076906, 5.0647266586585138, 5.0575216072895399, 5.0512348237338358, 5.0465001589591134, 5.0440475532595546, 5.0446795719909732, 5.0492270559156109, 5.0584814575890471, 5.0731064418824374, 5.0935386552675599, 5.1198953715590321, 5.1519115746008532, 5.1889271967531219, 5.2299350392489439, 5.2736838365083356, 5.3188152631561865, 5.3640052091678871, 5.4080815980380708, 5.4501013636604538, 5.4893824634681891, 5.5254976243036458, 5.5582421575371201, 5.5875888148456392, 5.6136401151066782, 5.6365848945140362, 5.6566624329869839, 5.6741350295445994, 5.689268412985875, 5.702318679086174, 5.7135242697087856, 5.7231016188103974, 5.7312433223418688, 5.7381179465505481, 5.7438708232844027, 5.7486253727161341, 5.752484640955231, 5.7555328473937388, 5.7578368119772332, 5.7594471835619085, 5.76039942372336, 5.7607145211074631, 5.7606485963625316, 5.7604506347928099, 5.7601200738089471, 5.7596559738117783, 5.7590570152605318, 5.7583214945554122, 5.7574473187220718, 5.7564319988816477, 5.7552726424869443, 5.7539659443025295, 5.7525081761029071, 5.7508951750614115, 5.7491223307993531, 5.747184571064472, 5.7450763460056073, 5.7427916110115094, 5.7403238080815031, 5.7376658456986114, 5.7348100771788051, 5.7317482774750612, 5.7284716184231987, 5.724970642425486, 5.7212352345819788, 5.7172545932965866, 5.7130171994056571, 5.7085107839054814, 5.70372229438739, 5.6986378603314716, 5.6932427574610589, 5.6875213714213553, 5.681457161121779, 5.675032622171253, 5.668229250945541, 5.6610275099553213, 5.6534067953393974, 5.6453454074912512, 5.6368205260455255, 5.6278081907060811, 5.6182832896985442, 5.6082195579783392, 5.5975895877305177, 5.5863648541628521, 5.5745157601247612, 5.5620117036850472, 5.5488211734742254, 5.5349118773378327, 5.5202509106531172, 5.5048049715157452, 5.488540630885903, 5.4714246666556408, 5.4534244714121893, 5.4345085443474748, 5.4146470782037106, 5.3938126522133887, 5.3719810415191818, 5.3491321523309514, 5.3252510898389103, 5.3003293623563481, 5.2743662199915491, 5.2473701190126203, 5.2193602936712029, 5.1903684053775647, 5.1604402247142502, 5.1296372850433691, 5.0980384279891968, 5.0657411419342733, 5.0328625765351687, 4.9995401014730847, 4.9659312691544244, 4.9322130422571417, 4.8985801613396873, 4.865242558167318, 4.8324217687044104, 4.8003463655556553, 4.7692465099068393, 4.7393478113849801, 4.7108647713209173, 4.683994159038285, 4.658908719830305, 4.6357516267052814, 4.6146320592647454, 4.5956222216259475, 4.5787560032717023, 4.5640293544783521, 4.5514023081377513, 4.5408024502004816, 4.5321295374544661, 4.5252608949782847, 4.520057201091829, 4.5163682831830361, 4.5140385962858325, 4.5129121272274988, 4.5128365489592159, 4.5136665316371385, 4.5152661907109852, 4.5175107122198428, 4.5202872391440687, 4.5234951299494064, 4.5270457130948367, 4.53086166200886, 4.5348761070193877, 4.5390315869999895, 4.5432789267331328, 4.5475761083061155, 4.5518871877783189, 4.5561812929047729, 4.5604317244248875, 4.5646151725512469, 4.5687110517934482, 4.5727009509435321, 4.5765681906571221, 4.5802974782738346, 4.5838746480173151, 4.5872864741974215, 4.5905205452465125, 4.5935651871288785, 4.596409425687038, 4.5990429786833156, 4.6014562695513792, 4.6036404561091899, 4.6055874686478884, 4.607290052866011, 4.6087418140469305, 4.6099372596733437, 4.6108718383392207, 4.6115419733658642, 4.6119450899690868, 4.612079635175963, 4.6119450899690753, 4.6115419733658483, 4.6108718383392286, 4.6099372596733303, 4.6087418140469261, 4.6072900528660066, 4.605587468647899, 4.6036404561092024, 4.6014562695513952, 4.5990429786833102, 4.5964094256870478, 4.5935651871288785, 4.5905205452465063, 4.5872864741974269, 4.5838746480173169, 4.5802974782738435, 4.5765681906571061, 4.5727009509435224, 4.5687110517934286, 4.5646151725512505, 4.560431724424892, 4.5561812929047782, 4.5518871877783198, 4.5475761083061075, 4.5432789267331115, 4.5390315869999753, 4.5348761070194108, 4.5308616620088316, 4.5270457130948154, 4.523495129949386, 4.5202872391440465, 4.5175107122198499, 4.5152661907109941, 4.5136665316371243, 4.5128365489592168, 4.5129121272275352, 4.5140385962858325, 4.5163682831830272, 4.5200572010918476, 4.5252608949783006, 4.532129537454459, 4.540802450200494, 4.5514023081377468, 4.5640293544783441, 4.5787560032717165, 4.5956222216259484, 4.6146320592647401, 4.6357516267052681, 4.6589087198303032, 4.6839941590382459, 4.7108647713209182, 4.7393478113849996, 4.7692465099068624, 4.800346365555618, 4.8324217687044033, 4.8652425581673402, 4.898580161339714, 4.9322130422571675, 4.9659312691544475, 4.999540101473098, 5.0328625765351864, 5.0657411419342724, 5.098038427989187, 5.1296372850433691, 5.1604402247142627, 5.1903684053775532, 5.2193602936712029, 5.2473701190126496, 5.274366219991566, 5.3003293623563277, 5.325251089838912, 5.3491321523309505, 5.3719810415191578, 5.3938126522133754, 5.4146470782037035, 5.4345085443474863, 5.4534244714121956, 5.4714246666556363, 5.4885406308859093, 5.5048049715157479, 5.5202509106531163, 5.5349118773378505, 5.5488211734742485, 5.5620117036850658, 5.5745157601247701, 5.5863648541628566, 5.5975895877305151, 5.6082195579783507, 5.6182832896985602, 5.6278081907060908, 5.636820526045538, 5.6453454074912726, 5.6534067953394018, 5.6610275099553409, 5.668229250945541, 5.6750326221712628, 5.6814571611217977, 5.687521371421365, 5.6932427574610722, 5.6986378603314876, 5.7037222943873882, 5.7085107839054956, 5.7130171994056553, 5.7172545932965821, 5.7212352345819841, 5.7249706424254825, 5.7284716184231819, 5.7317482774750559, 5.7348100771787962, 5.7376658456986132, 5.7403238080814925, 5.74279161101152, 5.745076346005602, 5.7471845710644471, 5.7491223307993478, 5.7508951750614026, 5.7525081761029089, 5.7539659443025259, 5.7552726424869398, 5.7564319988816406, 5.7574473187220807, 5.758321494555406, 5.7590570152605371, 5.7596559738117836, 5.7601200738089391, 5.7604506347928099, 5.7606485963625289, 5.7607145211074755, 5.7606815640761893, 5.7605826634440733, 5.7604177305659867, 5.7601866175993335, 5.7598891173527198, 5.7595249630741989, 5.7590938281788597, 5.7585953259156275, 5.7580290089730415, 5.757394369024345, 5.7566908362110691, 5.7559177785655393, 5.7550745013716682, 5.7541602464643296, 5.7531741914668153, 5.7521154489662223, 5.7509830656269889, 5.7497760212420657, 5.7484932277219141, 5.7471335280214397, 5.7456956950043647, 5.7441784302458778, 5.7425803627734338, 5.7409000477457708, 5.7391359650712479, 5.7372865179654342, 5.7353500314493306, 5.7333247507885838, 5.7312088398754666, 5.7290003795548081, 5.7266973658957108, 5.7242977084110196, 5.7217992282274279, 5.7191996562088887, 5.7164966310366845, 5.7136876972506352, 5.7107703032555941, 5.7077417992991197, 5.7045994354260845, 5.7013403594176184, 5.6979616147227299, 5.6944601383912632, 5.6908327590196768, 5.6870761947210102, 5.6831870511332871, 5.679161819481326, 5.6749968747100823, 5.6706884737090411, 5.6662327536502071, 5.6616257304647908, 5.6568632974870017, 5.651941224297004, 5.646855155798673, 5.6416006115722768, 5.6361729855472094, 5.6305675460449098, 5.6247794362479926, 5.618803675158814, 5.6126351591165102, 5.6062686639509378, 5.5996988478595489, 5.5929202551029435, 5.5859273206258804, 5.57871437572018, 5.5712756548605773, 5.5636053038549234, 5.5556973894673058, 5.5475459106852041, 5.5391448118201705, 5.5304879976471657, 5.5215693508065904, 5.5123827517113702, 5.5029221012206895, 5.4931813463618626, 5.4831545094007428, 5.47283572058058, 5.4622192548666888, 5.4512995730510125, 5.4400713675835606, 5.4285296135086423, 5.4166696248881347, 5.4044871170936171, 5.3919782753403531, 5.3791398298166797, 5.3659691377325887, 5.3524642725648794, 5.3386241207150489, 5.324448485712308, 5.3099381999887179, 5.2950952441213026, 5.2799228732727688, 5.2644257503689307, 5.2486100853192479, 5.2324837793190611, 5.2160565729660764, 5.1993401965769026, 5.1823485207076141, 5.1650977044668434, 5.1476063387681092, 5.1298955812084106, 5.1119892787999053, 5.0939140743308293, 5.0756994917203357, 5.0573779953777755, 5.0389850183147598, 5.0205589536178277, 5.0021411039058084, 4.9837755836046433, 4.9655091693057507, 4.9473910941606931, 4.929472783226033, 4.9118075279177322, 4.8944500992589299, 4.8774563013873706, 4.8608824687870511, 4.8447849128588221, 4.8292193256658642, 4.8142401508776134, 4.7998999339755564, 4.786248665553158, 4.7733331329161794, 4.7611962960552017, 4.7498767043297958, 4.7394079698034393, 4.7298183120802086, 4.7211301877279723, 4.713360014993591, 4.7065180016203776, 4.6915692407365146, 4.6847525012767983, 4.6854123534549021, 4.6925705782140934, 4.7050657325655854, 4.7216889281216714, 4.7412935099069946, 4.762868100974373, 4.785573105251637, 4.8087475103904032, 4.8318954180070159, 4.8546613038491362, 4.8768010616714275, 4.8981535742018947, 4.91861553793699, 4.9381207842912751, 4.9566243783053805, 4.9740912226376484, 4.9904886161284878, 5.0057821030761849, 5.0199339261894318, 5.0329034188629285, 5.0446487193899472, 5.0551292527695191, 5.0643085024911914, 5.0721566834009248, 5.0786530238921328, 5.0837874652931152, 5.0875616810978332, 5.0899894014779843, 5.0910960939071801, 5.0909180959674272, 5.0895013215962068, 5.0868996696536399, 5.0831732577525406, 5.0783865893796003, 5.0726067427687793, 5.0659016493063476, 5.0583385099500635, 5.0499823816934333, 5.0408949530965543, 5.031133518295376, 5.020750152281634, 5.0097910860250652, 4.9982962775958129, 4.9862991743163523, 4.9738266607305812, 4.9608991875401962, 4.9475310774351104, 4.9337310047906469, 4.9195026473891357, 4.9048455094793466, 4.8897559163871307, 4.8742281812320272, 4.8582559436890174, 4.8418336786894693, 4.8249583689330224, 4.8076313285026808, 4.7898601551703548, 4.7716607756718421, 4.7530595310353005, 4.7340952280248105, 4.7148210584992967, 4.6953062623018456, 4.6756373834542542, 4.6559189473016973, 4.6362733723233651, 4.6168399300158667, 4.5977725853693974, 4.5792365942420714, 4.5614038057689994, 4.5444467177378156, 4.5285314556188601, 4.5138099808193628, 4.5004119643108815, 4.4884368678289137, 4.4779468357593899, 4.4689610002031142, 4.4614517319914304, 4.4553432362429701, 4.4505127099408215, 4.4467940788699742, 4.4439841449426609, 4.4418508332742936, 4.4401431534757076, 4.4386024901443752, 4.4369749066429787, 4.435024262074557, 4.4325460687895468, 4.4293821101907094, 4.4254358390663793, 4.4206884190427242, 4.4152148854817241, 4.409199226945951, 4.4029462072937395, 4.3968865473107455, 4.3915709336020265, 4.3876477481216059, 4.385820184644369, 4.3867813402231572, 4.391131282831549, 4.3992872250365984, 4.4114044813156292, 4.4273285168919472, 4.4465943663447449, 4.4684789239717713, 4.4920975348649455, 4.5165244739604411, 4.5409118121125767, 4.5645839226193123, 4.5870931221911002, 4.6082318909241229, 4.6280057671702499, 4.6465770053264821, 4.6641922762153296, 4.6811083504580733, 4.6975281210769726, 4.7135558959302548, 4.7291763328720702, 4.7442566531460528, 4.7585677723853994, 4.7718173912302655, 4.7836872168652214, 4.7938673436632051, 4.8020830512287942, 4.8081121816084433, 4.8117939624920503, 4.8130319137760944, 4.812205820272788, 4.8097394115399847, 4.8056685616018102, 4.8000537491132365, 4.7929805153835421, 4.7845590731178502, 4.7749222982927604, 4.7642214657421063, 4.7526194088274867, 4.7402812497389437, 4.7273633722986839, 4.7140017852428082, 4.7003013505531976, 4.686327460145967, 4.6721016076239055, 4.6576019290849251, 4.6427692168216526, 4.6275182077138268, 4.6117532065186433, 4.5953864350457216, 4.5783570127607813, 4.560648256113037, 4.5423010680007803, 4.5234215605936505, 4.5041816653497593, 4.4848122694222425, 4.46558930587722, 4.4468141284817264, 4.428790304383841, 4.4117995184895022, 4.3960794647207209, 4.3818063196726902, 4.3690836739566024, 4.3579387734526795, 4.3483258190386209, 4.3401351264415622, 4.3332063352665022, 4.3273436486657451, 4.322331243184057, 4.3179473968867255, 4.3139764020325764, 4.3102178331468544, 4.3064931513094491, 4.3026499058953753, 4.2985639475320365, 4.294140114057754, 4.2893118262414989, 4.2840399620739751, 4.2783112915107822, 4.2721366641734448, 4.2655490606109234, 4.2586015483649229, 4.2513651292599723, 4.2439264245108532, 4.2363851193290119, 4.2288510787002886, 4.2214410510815847, 4.2142748971214061, 4.2074713159187169, 4.201143090517979, 4.1953919343769455, 4.1903030863994637, 4.1859398665886172, 4.182338458537588, 4.1795032193740731, 4.1774028241125851, 4.1759675245497005, 4.1750877428091835, 4.1746141325452815, 4.1743591389340384, 4.1740999890073862, 4.1735829660254335, 4.1725287842127203, 4.1706388987681233, 4.167602670906021, 4.1631054632284359, 4.1568379652744447, 4.1485073338779994, 4.1378510583745038, 4.1246547869615675, 4.1087755999884781, 4.0901722451051521, 4.0689434135453588, 4.0453738644278383, 4.0199856194556176, 3.9935871307078501, 3.9673072976813728, 3.9425946574538475, 3.921158118035931, 3.9048294082302135, 3.8953442191226828, 3.8940693714978538, 3.9017377267845754, 3.9182714598027073, 3.9427592416270025, 3.9736032469038305, 4.0087913615195037, 4.0462114432071914, 4.0839255340308442, 4.1203541151163474, 4.1543606576424059, 4.185255490939511, 4.2127490545304376, 4.2368819911195601, 4.2579506581683919, 4.2764372853540715, 4.2929470787516264, 4.3081507933771253, 4.3227303169411799, 4.3373259083223514, 4.3524860530268787, 4.3686234450907762, 4.3859823204655299, 4.404622370236936, 4.4244224325756951, 4.4451036030862987, 4.4662675245634347, 4.4874428085677112, 4.508131714419771, 4.527850419335822, 4.5461587527077718, 4.5626781282744338, 4.5770987524561413, 4.5891786045479313, 4.5987371788182632, 4.6056468013898266, 4.6098238004327232, 4.6112211723116241], [4.5849767012410503, 4.5835617622216214, 4.5793626193531525, 4.5725158692154162, 4.5632466554059121, 4.5518614496078307, 4.5387324223119103, 4.5242707555320614, 4.5088887240664857, 4.4929537252721774, 4.476740547130551, 4.4603899818952328, 4.4438819710819537, 4.4270301033693285, 4.4095021941878754, 4.3908694866899847, 4.3706849297105927, 4.3485886355506675, 4.3244349989432047, 4.2984295570960906, 4.2712531964925144, 4.244137590315499, 4.2188445657238827, 4.1975056108999507, 4.1823096681235601, 4.1750891486149353, 4.176920289508061, 4.1878779789319793, 4.2070356367190129, 4.2326986152357682, 4.2627686545723895, 4.295109408522813, 4.3278193836757488, 4.3593801214497256, 4.388696002938933, 4.4150632299439714, 4.4381048812138877, 4.4576982728295311, 4.4739091012770533, 4.4869380323724037, 4.4970801470189565, 4.5046951586417627, 4.5101855341955766, 4.5139797732601377, 4.5165186262132693, 4.5182426922749599, 4.5195804977607938, 4.520936747221965, 4.5226809244472861, 4.5251367653572272, 4.5285733079570427, 4.53319823797327, 4.5391541064911163, 4.5465177354407951, 4.5553028043401484, 4.5654652908259843, 4.5769111752833744, 4.5895056552462989, 4.6030830629110993, 4.6174567303896605, 4.6324281764769681, 4.647795161954396, 4.6633583446602325, 4.678926434402281, 4.6943198845958598, 4.7093732552375247, 4.7239364411213236, 4.7378749857146083, 4.7510697028642204, 4.7634158139028102, 4.7748217842780285, 4.7852080175212777, 4.794505539588199, 4.8026547862703497, 4.8096045923121666, 4.8153114740923941, 4.819739298757872, 4.8228594416923496, 4.8246515510145098, 4.8251050617766236, 4.8242216321128817, 4.8220187054840791, 4.8185344310872535, 4.8138341872169796, 4.8080189310611425, 4.8012355135483427, 4.7936889063671266, 4.7856559332124942, 4.7774995142858812, 4.769681570399384, 4.7627715948525164, 4.7574466199366796, 4.7544772345672337, 4.754694096840562, 4.7589309206326131, 4.7679440289281807, 4.7823153978211161, 4.8023543407980727, 4.8280194927006077, 4.8588835394640313, 4.8941555736330793, 4.9327612342362039, 4.9734643946304971, 5.0150031816658567, 5.0562120019580092, 5.0961093237405342, 5.1339434234988417, 5.1691996276331604, 5.2015793852160259, 5.2309633398173769, 5.2573688963184919, 5.2809095631064276, 5.3017600929961706, 5.3201289174639967, 5.3362377528256726, 5.3503074192503757, 5.3625486150125061, 5.3731564054492305, 5.38230735440301, 5.3901584427509004, 5.3968471286603128, 5.402492083137191, 5.4071942756648017, 5.411038190511622, 5.4140930303873205, 5.4164138170210849, 5.4180423338130064, 5.4190078788117768, 5.4193278106734546, 5.4192626096670855, 5.4190668506904327, 5.4187400654091817, 5.4182814717257681, 5.4176899714629503, 5.4169641471093612, 5.4161022576155906, 5.4151022332261203, 5.4139616693292432, 5.4126778193043572, 5.411247586342534, 5.4096675142140604, 5.4079337769534206, 5.4060421674306864, 5.4039880847751158, 5.4017665206164587, 5.3993720441070527, 5.396798785688615, 5.3940404195672329, 5.3910901448616544, 5.3879406653933462, 5.3845841680900675, 5.3810122999821361, 5.3772161437788411, 5.373186192023832, 5.3689123198447559, 5.3643837563311472, 5.3595890546002769, 5.3545160606426672, 5.349151881077959, 5.3434828500016698, 5.3374944951633179, 5.331171503791551, 5.3244976884720217, 5.3174559535950197, 5.3100282630231579, 5.3021956097919496, 5.2939379888497857, 5.2852343740779277, 5.2760627011084047, 5.2663998577889997, 5.2562216845353316, 5.2455029872700143, 5.2342175661868033, 5.2223382642029499, 5.2098370396819051, 5.1966850688302602, 5.1828528840973469, 5.168310555934216, 5.1530279263871668, 5.1369749041917787, 5.1201218322538677, 5.1024399395955733, 5.0839018909143014, 5.0644824477192891, 5.0441592553930095, 5.0229137702325239, 5.0007323392458298, 4.9776074428256738, 4.9535391059304867, 4.928536476542158, 4.9026195603814848, 4.8758210876033683, 4.8481884700403794, 4.819785786347845, 4.7906957073845398, 4.7610212462671511, 4.7308871885876691, 4.7004410312240887, 4.6698532371937391, 4.6393166044338221, 4.609044554365946, 4.5792681776936996, 4.5502319349083722, 4.5221879993760146, 4.4953893490035215, 4.4700818497750952, 4.446495716020114, 4.4248368579691695, 4.4052787144117351, 4.3879551964555175, 4.3729553238700323, 4.3603200159817757, 4.3500413158294524, 4.3420641030799425, 4.3362901200893118, 4.3325839301685836, 4.3307802758765757, 4.3306922253844791, 4.3321194905078659, 4.3348563620677751, 4.3386988188438007, 4.343450503273794, 4.348927398543748, 4.3549611702312818, 4.3614012396708581, 4.3681157303845648, 4.374991473221522, 4.3819332738995183, 4.3888626440741465, 4.3957161800848459, 4.4024437479213603, 4.409006603503884, 4.4153755476493348, 4.4215291874874847, 4.4274523519858811, 4.4331346892411299, 4.4385694573607957, 4.443752508806643, 4.4486814595204986, 4.4533550284542676, 4.4577725297161761, 4.4619334979119341, 4.4658374269432866, 4.469483603151108, 4.4728710149399715, 4.4759983226545925, 4.4788638743048761, 4.4814657546182364, 4.4838018567347468, 4.485869967586078, 4.4876678595712072, 4.4891933825394172, 4.4904445513063527, 4.4914196249677332, 4.4921171751493754, 4.4925361410605964, 4.4926758698238771, 4.4925361410605866, 4.4921171751493665, 4.4914196249677367, 4.4904445513063402, 4.4891933825394172, 4.4876678595712072, 4.4858699675860887, 4.4838018567347575, 4.481465754618247, 4.4788638743048699, 4.4759983226546005, 4.4728710149399742, 4.4694836031511072, 4.4658374269432946, 4.4619334979119332, 4.4577725297161841, 4.4533550284542534, 4.4486814595204871, 4.4437525088066199, 4.4385694573607983, 4.4331346892411352, 4.4274523519858882, 4.4215291874874856, 4.415375547649325, 4.40900660350386, 4.4024437479213487, 4.3957161800848681, 4.388862644074111, 4.3819332738995032, 4.3749914732214972, 4.3681157303845417, 4.3614012396708635, 4.3549611702312907, 4.3489273985437285, 4.3434505032737958, 4.3386988188438407, 4.334856362067776, 4.3321194905078544, 4.3306922253844995, 4.330780275876589, 4.3325839301685773, 4.336290120089326, 4.3420641030799354, 4.3500413158294435, 4.3603200159817881, 4.3729553238700341, 4.387955196455513, 4.40527871441172, 4.4248368579691721, 4.4464957160200766, 4.4700818497750907, 4.4953893490035419, 4.5221879993760377, 4.5502319349083429, 4.5792681776936917, 4.609044554365969, 4.6393166044338416, 4.6698532371937596, 4.7004410312241101, 4.7308871885876815, 4.7610212462671688, 4.7906957073845362, 4.8197857863478362, 4.8481884700403768, 4.8758210876033807, 4.9026195603814742, 4.9285364765421598, 4.9535391059305125, 4.9776074428256898, 5.0007323392458076, 5.0229137702325239, 5.0441592553930104, 5.0644824477192643, 5.0839018909142908, 5.1024399395955635, 5.1201218322538775, 5.1369749041917832, 5.1530279263871659, 5.1683105559342266, 5.1828528840973505, 5.1966850688302575, 5.2098370396819229, 5.2223382642029703, 5.2342175661868175, 5.2455029872700223, 5.2562216845353333, 5.2663998577889952, 5.2760627011084162, 5.2852343740779437, 5.2939379888497946, 5.3021956097919567, 5.3100282630231703, 5.3174559535950294, 5.324497688472035, 5.3311715037915501, 5.3374944951633241, 5.3434828500016849, 5.3491518810779688, 5.3545160606426814, 5.359589054600292, 5.3643837563311436, 5.3689123198447666, 5.3731861920238293, 5.3772161437788357, 5.3810122999821415, 5.3845841680900648, 5.3879406653933239, 5.3910901448616508, 5.3940404195672205, 5.3967987856886159, 5.3993720441070439, 5.4017665206164649, 5.4039880847751096, 5.4060421674306571, 5.4079337769534153, 5.4096675142140489, 5.4112475863425349, 5.4126778193043545, 5.4139616693292369, 5.4151022332261167, 5.4161022576155977, 5.4169641471093497, 5.4176899714629583, 5.4182814717257699, 5.4187400654091746, 5.4190668506904274, 5.419262609667082, 5.4193278106734732, 5.4192952146327276, 5.4191974021087406, 5.419034299872159, 5.4188057857944285, 5.4185116887279161, 5.418151788338224, 5.417725814888434, 5.417233448974935, 5.4166743212146988, 5.4160480118841656, 5.4153540505088644, 5.4145919154040705, 5.4137610331656596, 5.4128607781114617, 5.4118904716722174, 5.4108493817319463, 5.4097367219175547, 5.4085516508370697, 5.4072932712661048, 5.4059606292826174, 5.4045527133486964, 5.4030684533400883, 5.4015067195225237, 5.3998663214744589, 5.3981460069566189, 5.3963444607274589, 5.3944603033051859, 5.3924920896755717, 5.3904383079464013, 5.3882973779484891, 5.3860676497836932, 5.3837474023205054, 5.3813348416383509, 5.3788280994215274, 5.3762252313038914, 5.3735242151667295, 5.3707229493913129, 5.3678192510692204, 5.364810854173192, 5.3616954076924594, 5.3584704737372144, 5.3551335256165977, 5.3516819458973606, 5.34811302444938, 5.3444239564868958, 5.3406118406144234, 5.3366736768887506, 5.332606364909493, 5.3284067019526802, 5.324071381163983, 5.3195969898304298, 5.3149800077525784, 5.3102168057414616, 5.3053036442684629, 5.3002366722999872, 5.29501192635297, 5.2896253298118081, 5.2840726925535302, 5.2783497109323942, 5.2724519681834323, 5.2663749353106724, 5.2601139725342501, 5.2536643313803681, 5.2470211575066088, 5.2401794943684425, 5.233134287842363, 5.2258803919372543, 5.2184125757377355, 5.2107255317414376, 5.2028138857679274, 5.1946722086367982, 5.1862950298323902, 5.1776768533939066, 5.1688121762931951, 5.159695509585978, 5.1503214026478767, 5.1406844708318422, 5.1307794269103821, 5.1206011166909642, 5.1101445592188659, 5.0994049920041249, 5.0883779217300784, 5.0770591809174093, 5.0654449910270065, 5.0535320324891186, 5.0413175221371107, 5.02879929850587, 5.0159759154171741, 5.0028467442198572, 4.9894120849735675, 4.9756732867575888, 4.961632877147907, 4.9472947007281753, 4.9326640662810517, 4.9177479020405768, 4.902554918067044, 4.8870957744328418, 4.8713832534770622, 4.8554324338988097, 4.8392608639153316, 4.822888730121587, 4.8063390180565797, 4.7896376598319872, 4.7728136635256293, 4.7558992184196285, 4.7389297696036987, 4.7219440550110416, 4.7049840976585289, 4.688095145775832, 4.6713255536888179, 4.6547265968254568, 4.6383522150897925, 4.6222586801399048, 4.6065041838354039, 4.5911483472882706, 4.5762516525303703, 4.5618748017414505, 4.5480780121630149, 4.5349202581215975, 4.5224584748320096, 4.510746741651122, 4.4998354649969947, 4.4897705830325618, 4.4805928152436048, 4.4723369800751316, 4.4650314027280826, 4.4586974330434224, 4.4533490901622734, 4.4432445476143512, 4.4417950583171946, 4.448223029916802, 4.4613385072195149, 4.4797219473983176, 4.501907161602599, 4.5265288490643361, 4.5524175141055094, 4.5786419117079324, 4.6045100798635907, 4.6295437739016565, 4.6534398499845029, 4.6760285763265657, 4.6972349999798997, 4.7170463870446868, 4.7354866564726743, 4.7525975175068904, 4.7684254427041353, 4.783013417808168, 4.7963964246021069, 4.8085997181085274, 4.819639092102026, 4.8295224581596354, 4.8382521841190389, 4.8458277474850888, 4.8522483601638866, 4.8575153143084453, 4.8616338846654665, 4.8646146988000147, 4.866474550597081, 4.8672366825926332, 4.8669305981791595, 4.8655914861342193, 4.8632593490185245, 4.8599779263775069, 4.8557934962783094, 4.8507536273136722, 4.8449059401642831, 4.838296924890642, 4.8309708484630658, 4.8229687772358965, 4.814327731307662, 4.8050799819025167, 4.795252498819905, 4.7848665523563323, 4.773937472637094, 4.7624745687902603, 4.7504812106782461, 4.7379550768374656, 4.7248885737279984, 4.7112694332060752, 4.697081497082638, 4.6823056994126588, 4.6669212583572222, 4.6509070895171067, 4.6342434508662596, 4.6169138249836141, 4.5989070362501936, 4.5802195880431622, 4.5608581867638938, 4.5408423950407508, 4.5202073253709614, 4.4990062483426128, 4.4773129481484952, 4.4552236157719278, 4.4328580323990439, 4.4103597698131782, 4.3878951300505582, 4.3656505734695363, 4.3438284515261252, 4.3226409731563216, 4.302302490229585, 4.2830203772655357, 4.2649849823087935, 4.2483593094202421, 4.2332692242401952, 4.2197950211704818, 4.2079651342032607, 4.1977526123370481, 4.1890747356274991, 4.1817958589000233, 4.1757332872461861, 4.1706657599302588, 4.1663439843370353, 4.1625026363181945, 4.1588733226208117, 4.1551981598907233, 4.1512438228468653, 4.14681610113671, 4.1417751216602037, 4.1360513739336326, 4.1296624438873941, 4.1227298341598519, 4.1154943572654679, 4.1083273225363746, 4.1017332342616859, 4.0963383747649571, 4.0928592168554561, 4.0920461546339153, 4.0946025506761474, 4.1010867105471593, 4.1118134710476664, 4.1267789048158567, 4.1456316531054469, 4.167705049664451, 4.1921075867837505, 4.2178520364590675, 4.2439932174247872, 4.2697448077136935, 4.294554936668824, 4.3181331741552871, 4.3404327700894321, 4.3615989838256946, 4.3818971057606682, 4.4016336150964817, 4.4210821550289428, 4.4404234679097998, 4.4597055318067147, 4.4788270743580929, 4.4975444946397412, 4.5154990634413252, 4.5322583422501532, 4.5473636657291552, 4.5603750901589946, 4.5709069169107091, 4.5786503919688508, 4.5833842281465609, 4.5849767012410503, 4.5839140695744529, 4.5807433959539887, 4.5755168249708849, 4.5683225654163175, 4.5592858601674839, 4.5485686223405652, 4.5363665454843698, 4.5229028084377756, 4.5084181035440114, 4.4931574805863423, 4.477355221701683, 4.4612194593491612, 4.4449184135326094, 4.4285699578856672, 4.4122358152336814, 4.3959211506071156, 4.379579770062807, 4.3631245997409653, 4.3464426305408228, 4.3294130798577335, 4.3119271618234256, 4.2939076011655857, 4.2753259062707967, 4.2562154640497729, 4.2366787584215944, 4.2168874676918584, 4.1970748743591075, 4.1775209015180073, 4.1585310897824943, 4.1404117888171754, 4.1234445437852845, 4.1078629005664506, 4.0938345149551001, 4.0814505655216697, 4.0707232354362599, 4.0615907445080017, 4.0539283748419255, 4.0475633371178095, 4.0422912168816962, 4.0378920355505752, 4.034144497345741, 4.0308375998854054, 4.0277793302188138, 4.0248025756783461, 4.0217686301738924, 4.0185687886047123, 4.0151245299452381, 4.011386731310572, 4.0073342633038944, 4.0029722146767508, 3.9983298965826832, 3.9934586915349422, 3.9884297432243638, 3.983331431925782, 3.9782665467746656, 3.9733490512160401, 3.9687003422011138, 3.9644449280943808, 3.9607054950537153, 3.9575973956501271, 3.9552226730078623, 3.9536638217636786, 3.952977573150573, 3.953189062156635, 3.9542867756290061, 3.9562186788364935, 3.958889867004836, 3.962161988532046, 3.9658545486863077, 3.969748046671155, 3.9735887516039274, 3.9770948126333616, 3.9799633502372664, 3.9818782073646202, 3.9825181587579421, 3.9815655838323121, 3.9787158953038819, 3.9736883693946434, 3.9662394236210772, 3.9561797980601066, 3.9433974411595742, 3.9278880327105283, 3.9097947182255974, 3.8894573220234356, 3.8674684011442939, 3.8447283083581847, 3.8224837162759409, 3.8023250597918787, 3.7861121744151354, 3.7758015804536229, 3.7731718061828863, 3.7794864878521928, 3.7951839149818083, 3.819704645664959, 3.8515373099180747, 3.8884812931754009, 3.9280385434712173, 3.9678075215564408, 4.0057767739716095, 4.0404765602723884, 4.0710035857810096, 4.0969627991785336, 4.1183718773904499, 4.1355609095756511, 4.1490838424747665, 4.1596458517662622, 4.1680435936494691, 4.1751125834306313, 4.1816764957421935, 4.1884958363094027, 4.1962171280279108, 4.2053273039253032, 4.2161201365814822, 4.2286812626953152, 4.2428954893483795, 4.2584754870572903, 4.2750063700818872, 4.2919977232924538, 4.3089342332893068, 4.3253179737310914, 4.3406985317954323, 4.3546903314656698, 4.3669788616684722, 4.3773187554198323, 4.3855269297523307, 4.3914736296694032, 4.3950735725762904, 4.3962787132036478], [4.3290456029062456, 4.3272954109467126, 4.3221058254681752, 4.313659510324789, 4.3022582186931428, 4.2883136378827897, 4.2723266397766668, 4.2548517159308883, 4.2364473316142695, 4.2176175802437372, 4.1987539220982324, 4.1800866142167203, 4.1616537233332753, 4.1432926164515225, 4.1246560991397168, 4.1052538851342915, 4.0845198942029608, 4.0619062792864753, 4.0370047106351619, 4.0096921650236013, 3.9802894917058325, 3.9497041970249231, 3.919506221309673, 3.8918683265074034, 3.8693133069417298, 3.8542697378287532, 3.8485382787585838, 3.8528543831677613, 3.8667248351496784, 3.8885967809689568, 3.9162649271687475, 3.9473399896982837, 3.9796259602146415, 4.0113386255765144, 4.0411759087349317, 4.0682888243473467, 4.0922044237596653, 4.1127375582256809, 4.1299114722486809, 4.1438947762582403, 4.1549551760108745, 4.1634271065554449, 4.1696895051907896, 4.17415017355877, 4.1772338373479663, 4.1793717808927022, 4.1809916799607159, 4.1825069353980524, 4.1843054054723456, 4.1867379252759154, 4.1901073574207599, 4.1946591073341182, 4.2005740384730048, 4.2079645427980443, 4.2168741969188588, 4.2272810295536987, 4.2391040206521957, 4.2522121212049537, 4.2664348776391758, 4.2815736858460633, 4.2974127752730436, 4.3137291975874827, 4.3303013209050008, 4.3469155648909865, 4.3633713199270954, 4.3794841547321672, 4.3950875245269758, 4.4100332494439067, 4.4241910499300214, 4.4374474142850495, 4.4497040448291205, 4.4608760932649538, 4.4708903599463357, 4.4796836010074319, 4.4872010647655038, 4.4933953662307813, 4.4982258068079952, 4.501658255669982, 4.5036657297335605, 4.5042298399935845, 4.5033433113885337, 4.5010138274140044, 4.4972694914019273, 4.4921662190299392, 4.4857973559028954, 4.478305709485479, 4.4698979366883771, 4.4608607585413083, 4.4515776955271242, 4.4425438711466647, 4.4343749520687465, 4.4278047210187204, 4.4236646855517199, 4.4228394718627744, 4.4261947051154156, 4.4344804200996331, 4.448222205624039, 4.4676214996746779, 4.4924910770919455, 4.5222474803754613, 4.5559682284369414, 4.5925028477584666, 4.6306113615405238, 4.6690986208773309, 4.7069189175476414, 4.7432381966542767, 4.7774543782737622, 4.8091851437194544, 4.8382357850372388, 4.8645586619787249, 4.8882126373552914, 4.9093273708701624, 4.9280745311690062, 4.9446461273349591, 4.9592391579946868, 4.9720453798803712, 4.9832449638626164, 4.9930029521699453, 5.0014676399014526, 5.0087702137755441, 5.0150251626927771, 5.0203311194251183, 5.0247719019091264, 5.0284176016677025, 5.0313256222346192, 5.0335416080332758, 5.0351002288650575, 5.0360258008002168, 5.0363327336874022, 5.0362720853648018, 5.0360900114597991, 5.0357861247791247, 5.0353597787269369, 5.0348100653884815, 5.034135812836058, 5.0333355816458925, 5.0324076606115025, 5.0313500616356839, 5.0301605137802801, 5.0288364564492882, 5.0273750316780603, 5.0257730754975372, 5.0240271083403476, 5.0221333244510884, 5.0200875802619356, 5.017885381690208, 5.0155218703138349, 5.0129918083773468, 5.0102895625799251, 5.0074090865967236, 5.0043439022834102, 5.0010870795163322, 4.9976312146226594, 4.9939684073587687, 4.9900902364029029, 4.9859877333365832, 4.9816513551027821, 4.9770709549465959, 4.9722357518668501, 4.9671342986372906, 4.9617544484940082, 4.9560833206350452, 4.9501072647388487, 4.9438118247859801, 4.9371817025637448, 4.9302007213532804, 4.9228517904449642, 4.9151168713098512, 4.9069769464758126, 4.8984119924284633, 4.8894009581860631, 4.8799217515959965, 4.8699512358811274, 4.8594652395408131, 4.8484385833980825, 4.8368451293994275, 4.8246578567303002, 4.8118489719257811, 4.7983900609399175, 4.7842522925990281, 4.7694066844945775, 4.7538244441519062, 4.737477400194134, 4.7203385401250735, 4.7023826731483007, 4.6835872379230015, 4.6639332760410177, 4.6434065918969054, 4.6219991179752258, 4.5997105007112866, 4.5765499151440547, 4.5525381055830598, 4.527709633375073, 4.5021152905424779, 4.475824608758785, 4.4489283565642141, 4.4215408746080316, 4.3938020512236378, 4.3658786930447224, 4.3379650043981064, 4.3102818642666474, 4.2830745922840681, 4.2566089379033594, 4.2311651202955929, 4.2070298961994137, 4.1844868351359095, 4.1638052197424607, 4.1452282331554429, 4.1289613036287527, 4.1151616027017255, 4.1039296974162029, 4.0953042179863752, 4.0892601263918928, 4.0857107954017362, 4.0845136924508827, 4.0854790796193754, 4.0883808534232058, 4.092968497494839, 4.098979118310492, 4.1061486602715567, 4.1142216121505797, 4.1229587740821465, 4.1321429080414074, 4.1415823115555614, 4.151112515375341, 4.1605964059776728, 4.1699231184663388, 4.1790060461296044, 4.1877802831692703, 4.1961997697685707, 4.2042343541894107, 4.2118669325251439, 4.2190907778183666, 4.2259071289025387, 4.2323230762965984, 4.2383497574307292, 4.2440008554734634, 4.2492913838717659, 4.2542367311886808, 4.2588519368119115, 4.2631511666575976, 4.2671473583370201, 4.2708520067811042, 4.2742750635777691, 4.2774249259303705, 4.2803084939555269, 4.2829312778365258, 4.2852975390256898, 4.2874104521731677, 4.2892722767117428, 4.2908845290277213, 4.2922481478951617, 4.293363647351109, 4.2942312524621462, 4.2948510144980405, 4.295222902914154, 4.2953468722807164, 4.2952229029141442, 4.2948510144980352, 4.2942312524621471, 4.2933636473510992, 4.2922481478951662, 4.2908845290277249, 4.2892722767117535, 4.2874104521731775, 4.285297539025696, 4.2829312778365214, 4.2803084939555331, 4.2774249259303785, 4.27427506357777, 4.2708520067811122, 4.2671473583370192, 4.263151166657603, 4.2588519368119018, 4.2542367311886728, 4.2492913838717392, 4.2440008554734616, 4.2383497574307363, 4.2323230762966038, 4.2259071289025396, 4.2190907778183551, 4.2118669325251199, 4.2042343541894018, 4.1961997697685902, 4.187780283169233, 4.1790060461295928, 4.1699231184663121, 4.160596405977647, 4.1511125153753472, 4.141582311555573, 4.1321429080413843, 4.1229587740821501, 4.1142216121506205, 4.106148660271554, 4.0989791183104813, 4.0929684974948568, 4.0883808534232191, 4.0854790796193701, 4.0845136924508969, 4.0857107954017255, 4.0892601263918831, 4.0953042179863912, 4.1039296974162003, 4.1151616027017237, 4.1289613036287411, 4.1452282331554438, 4.1638052197424305, 4.1844868351358988, 4.2070298961994324, 4.2311651202956133, 4.2566089379033318, 4.2830745922840565, 4.3102818642666696, 4.3379650043981259, 4.3658786930447357, 4.3938020512236617, 4.4215408746080431, 4.4489283565642337, 4.4758246087587832, 4.5021152905424717, 4.527709633375065, 4.5525381055830731, 4.5765499151440405, 4.5997105007112884, 4.6219991179752524, 4.6434065918969143, 4.6639332760409991, 4.6835872379230015, 4.7023826731483025, 4.7203385401250504, 4.7374774001941207, 4.7538244441518902, 4.7694066844945882, 4.7842522925990316, 4.7983900609399202, 4.8118489719257918, 4.8246578567303047, 4.8368451293994212, 4.8484385833980994, 4.8594652395408282, 4.8699512358811372, 4.8799217515960027, 4.8894009581860622, 4.8984119924284597, 4.9069769464758233, 4.9151168713098672, 4.9228517904449713, 4.9302007213532857, 4.9371817025637563, 4.9438118247859872, 4.9501072647388611, 4.9560833206350443, 4.9617544484940126, 4.9671342986373066, 4.9722357518668598, 4.9770709549466083, 4.9816513551027954, 4.9859877333365805, 4.9900902364029136, 4.993968407358766, 4.997631214622654, 5.0010870795163376, 5.0043439022834075, 5.0074090865967031, 5.0102895625799224, 5.0129918083773291, 5.0155218703138349, 5.0178853816902009, 5.0200875802619409, 5.0221333244510831, 5.0240271083403165, 5.0257730754975345, 5.0273750316780497, 5.0288364564492918, 5.0301605137802756, 5.031350061635675, 5.032407660611498, 5.0333355816458951, 5.0341358128360465, 5.0348100653884913, 5.0353597787269377, 5.0357861247791158, 5.036090011459792, 5.0362720853647982, 5.0363327336874226, 5.0363024132189258, 5.0362114316814157, 5.0360597286584659, 5.0358472033888066, 5.0355737146650856, 5.035239080692147, 5.0348430789046912, 5.0343854457437347, 5.033865876391781, 5.0332840244667523, 5.0326395016736738, 5.0319318774143147, 5.0311606783537988, 5.0303253879443623, 5.0294254459050878, 5.0284602476573443, 5.0274291437153691, 5.0263314390312956, 5.0251663922937357, 5.0239332151798148, 5.0226310715588953, 5.0212590766483558, 5.0198162961199335, 5.0183017451558616, 5.0167143874544164, 5.0150531341834705, 5.0133168428819816, 5.0115043163077004, 5.0096143012312435, 5.0076454871753393, 5.0055965050986044, 5.0034659260232779, 5.0012522596066491, 4.9989539526556515, 4.9965693875840733, 4.9940968808130908, 4.9915346811145307, 4.9888809678978348, 4.9861338494410345, 4.9832913610670442, 4.9803514632669916, 4.9773120397717809, 4.9741708955754698, 4.9709257549127859, 4.9675742591954108, 4.9641139649112711, 4.9605423414931753, 4.9568567691636787, 4.9530545367644834, 4.9491328395803338, 4.9450887771689622, 4.9409193512110736, 4.9366214633960164, 4.9321919133619563, 4.9276273967120474, 4.9229245031317372, 4.9180797146357014, 4.9130894039783266, 4.9079498332650378, 4.9026571528090335, 4.897207400283194, 4.8915965002243809, 4.8858202639559645, 4.8798743900020298, 4.8737544650790996, 4.8674559657598619, 4.8609742609189066, 4.8543046150821505, 4.8474421928194458, 4.8403820643358451, 4.8331192124372908, 4.825648541067479, 4.8179648856358863, 4.8100630253829237, 4.801937698055541, 4.7935836171970916, 4.7849954923868934, 4.7761680528001449, 4.7670960744940185, 4.7577744118645233, 4.7481980337566263, 4.7383620647496949, 4.7282618321791858, 4.7178929194909625, 4.7072512265596549, 4.6963330376282322, 4.6851350975480264, 4.6736546970053183, 4.661889767416131, 4.6498389861453866, 4.6375018926570766, 4.6248790161231383, 4.6119720149013483, 4.5987838281309967, 4.5853188394809523, 4.5715830528076484, 4.5575842791329446, 4.543332333925191, 4.5288392431521833, 4.5141194559656048, 4.4991900611732216, 4.484071003852125, 4.4687852975669671, 4.4533592266893036, 4.43782253229507, 4.4222085740787023, 4.4065544597112654, 4.3909011321487297, 4.3752934046372607, 4.3597799326556945, 4.3444131118791534, 4.3292488915488612, 4.3143464934950666, 4.2997680285817017, 4.2855780045950134, 4.2718427226260784, 4.258629562792235, 4.2460061646346361, 4.2340395125796952, 4.2227949422447271, 4.2123350888106765, 4.2027188038236822, 4.1940000712291123, 4.1862269567762498, 4.1794406267874731, 4.1736744723500872, 4.1689533730749497, 4.1652931306184007, 4.1606930566021596, 4.1653017748901338, 4.1780883168093563, 4.197519788597778, 4.2218180713615174, 4.2492101245634926, 4.2781176678123023, 4.3072644228942263, 4.33570753114806, 4.3628150618040777, 4.3882141551270983, 4.4117294912761498, 4.4333246367006467, 4.4530525263661467, 4.4710170074530486, 4.4873449201628866, 4.5021670999080845, 4.515606407422168, 4.52777102248871, 4.5387515212067555, 4.5486205628982264, 4.5574342833807728, 4.5652347104951376, 4.5720526890629536, 4.5779109360593413, 4.5828269530146342, 4.5868156092526666, 4.5898912812437729, 4.5920694923846179, 4.5933680447596714, 4.5938076702275881, 4.5934122529954315, 4.5922086906646173, 4.5902264670369188, 4.5874970095986818, 4.5840528995212502, 4.5799269940708953, 4.5751515120768689, 4.5697571237496826, 4.5637720774745931, 4.5572213886931872, 4.5501261098217878, 4.5425026953687784, 4.5343624729198684, 4.5257112283558367, 4.5165489124385418, 4.5068694756655265, 4.4966608389878262, 4.4859050095613009, 4.4745783530924763, 4.4626520374444567, 4.4500926658068947, 4.4368631216157528, 4.4229236510982801, 4.4082332121803978, 4.392751119667424, 4.3764390149551389, 4.3592631826195696, 4.3411972243658159, 4.3222250810908971, 4.3023443643363395, 4.2815699176185689, 4.2599374753784067, 4.2375072235784774, 4.2143669948892208, 4.1906347600679101, 4.1664600168896841, 4.1420236443587344, 4.1175358012922256, 4.0932315229403304, 4.0693638202416746, 4.0461943156053692, 4.0239817418073649, 4.0029689517188096, 3.9833693833745252, 3.9653541357356086, 3.9490408798614505, 3.9344857256102568, 3.9216788892107823, 3.9105446057368192, 3.9009452775533533, 3.8926894324908954, 3.8855427609552886, 3.8792413576395437, 3.8735063213602379, 3.8680590402259556, 3.8626367570055513, 3.8570083048190682, 3.8509901537644589, 3.8444630387514684, 3.8373893646352997, 3.8298312128652272, 3.8219680052447051, 3.8141116420367824, 3.8067152532537607, 3.8003698503462346, 3.7957818116691566, 3.7937244446933871, 3.7949602914462841, 3.8001383538201159, 3.8096812173340653, 3.8236875005971052, 3.8418792127342374, 3.8636163786567059, 3.8879828458593342, 3.9139247060660436, 3.9404068569459851, 3.9665509765572255, 3.9917287513073072, 4.0156005409019171, 4.0381040248112416, 4.0594055962902891, 4.0798293987613725, 4.0997772427877299, 4.119649630667495, 4.1397752688624934, 4.1603543587060567, 4.1814196392012324, 4.2028182775564193, 4.2242166359651385, 4.2451279347461295, 4.2649595057904683, 4.2830723015997592, 4.2988422894382428, 4.3117132052104292, 4.3212335422640056, 4.3270763259426559, 4.3290456029062456, 4.3277313973200284, 4.3238158538315563, 4.3173806216772208, 4.3085627433825255, 4.2975545879371637, 4.2846012199246939, 4.2699936703898871, 4.2540572799232192, 4.2371353674185395, 4.219569611474995, 4.2016793582055509, 4.1837423500335928, 4.1659790794938161, 4.1485422861833685, 4.1315123041333086, 4.1148982641433154, 4.0986446752529675, 4.0826426427167339, 4.0667448459908497, 4.0507833092861318, 4.0345888900689655, 4.0180112694571601, 4.0009380667624468, 3.9833115526287814, 3.965141350803993, 3.9465115630854255, 3.9275810031578904, 3.9085757531930208, 3.8897740865480217, 3.8714848641196147, 3.8540216285465787, 3.8376755154254476, 3.8226904905158747, 3.8092441288506205, 3.7974361958904539, 3.7872859043997806, 3.7787372670623802, 3.7716708022316401, 3.7659192074756431, 3.7612845369103072, 3.7575547887032648, 3.754518430745569, 3.7519760666735609, 3.7497490264089275, 3.7476850821042853, 3.7456617302882296, 3.7435875712421467, 3.7414023003340304, 3.7390757461676403, 3.7366062815511119, 3.7340188193176687, 3.7313625004188595, 3.7287080941967772, 3.7261450641353475, 3.7237782087285574, 3.7217237680184621, 3.7201048935523304, 3.7190464144579112, 3.7186688953042806, 3.7190820700249017, 3.7203778439177952, 3.7226231708532596, 3.7258532183427882, 3.7300653084817679, 3.7352141473183504, 3.7412088131790222, 3.7479118604214903, 3.7551407177611007, 3.7626713436406365, 3.7702438809408192, 3.7775698705852823, 3.7843404755993419, 3.790235159961171, 3.7949303707378594, 3.7981079833232374, 3.7994635738980183, 3.7987149628728947, 3.7956119117410867, 3.7899483372754403, 3.781578903185022, 3.7704422908208715, 3.756593672897242, 3.7402485747214143, 3.7218387836131233, 3.7020772999704636, 3.6820223798408236, 3.6631199157036316, 3.6471903925570874, 3.6363178363658721, 3.6326059965605784, 3.6378053320487127, 3.6528837097588913, 3.6776835779295554, 3.710821736855634, 3.7499066370423857, 3.7920061628224602, 3.834190246777065, 3.8739682551438088, 3.9095258277637188, 3.939767220834296, 3.964229164380733, 3.9829409707563492, 3.9962844600906795, 4.0048799698707382, 4.0095039584823766, 4.0110320877861021, 4.0103971783383985, 4.008551449940728, 4.0064252118174846, 4.0048786379735963, 4.0046485797884834, 4.0062972837286246, 4.0101727885371616, 4.0163903235477614, 4.0248400040893468, 4.0352198827026253, 4.0470873974575596, 4.0599187232978471, 4.0731654406155373, 4.0863006763743632, 4.0988508915757764, 4.1104132258327128, 4.1206608369157305, 4.1293398020813443, 4.1362611831568303, 4.1412912695310471, 4.1443422125901614, 4.14536451111542], [4.0692689753012727, 4.0672040431834873, 4.0610920251304616, 4.0511799930514494, 4.0378733032208531, 4.0217193216030473, 4.0033750821940428, 3.9835564510248949, 3.9629722259601419, 3.9422522531180451, 3.9218813103561629, 3.9021490837013162, 3.8831222397402749, 3.8646398861942108, 3.8463307509573474, 3.8276499681085934, 3.8079349960754469, 3.7864829095413675, 3.7626538587828846, 3.7360060352605267, 3.7064629039145172, 3.6744993608143575, 3.6413065737343735, 3.6088600774065505, 3.5797937062735903, 3.5570115303626428, 3.5430779756328055, 3.5395760067500168, 3.5467018707230591, 3.5632760012190592, 3.5871363656831616, 3.6157049902640503, 3.6464963035901428, 3.6774375789039602, 3.7069916736925324, 3.7341403192533065, 3.7582976932218415, 3.7792058117985032, 3.7968397858632512, 3.8113334425457315, 3.8229259385030017, 3.8319257317462037, 3.8386871825815594, 3.8435953955096172, 3.8470557445941553, 3.8494854215582097, 3.8513051685117992, 3.8529300890193854, 3.854759089213764, 3.8571630916097259, 3.860472668458403, 3.8649661152642145, 3.8708591763359306, 3.8782976047506317, 3.8873534857711403, 3.8980258188514063, 3.9102453239644115, 3.9238829199050569, 3.9387609155083521, 3.9546657266412231, 3.9713609026829437, 3.9885993909121176, 4.0061342295931892, 4.023727173323131, 4.0411550570113688, 4.0582139555423531, 4.0747213740429507, 4.0905168067514444, 4.1054610414308828, 4.1194345779532942, 4.132335491998413, 4.1440770234066449, 4.1545851155851103, 4.1637960856484639, 4.1716545696456109, 4.1781118659303731, 4.1831247936841027, 4.1866551931936486, 4.1886702196778369, 4.1891436226222707, 4.188058255926892, 4.1854101262972412, 4.1812143487244118, 4.1755134200797288, 4.1683882116046505, 4.1599719636690891, 4.1504672592587859, 4.1401653465795141, 4.1294661568109436, 4.1188958450733963, 4.1091167481136006, 4.100922697175597, 4.0952115347995885, 4.0929278483020095, 4.0949738310809218, 4.1020953584606925, 4.1147620451782672, 4.1330695053960858, 4.1566931093418225, 4.1849115682020974, 4.2166983468860053, 4.2508580513628997, 4.2861733771470885, 4.3215303142925023, 4.356001842629424, 4.3888858031613109, 4.419704429096269, 4.4481784885973861, 4.474189000213924, 4.4977364564727775, 4.5189036815109125, 4.5378251952032933, 4.5546637312923393, 4.5695933059005034, 4.5827876937653569, 4.5944130659539768, 4.6046236618088106, 4.6135595726240384, 4.6213459292671963, 4.6280929754188458, 4.6338966605894134, 4.6388395028106908, 4.642991555131263, 4.6464113693418367, 4.6491468908937543, 4.6512362458901757, 4.6527083983179294, 4.6535836663256394, 4.653874092503048, 4.6538185454255565, 4.6536517970426248, 4.6533735255830342, 4.6529831936937374, 4.6524800468329204, 4.6518631110097965, 4.651131189860223, 4.6502828610445919, 4.649316471950824, 4.6482301346824961, 4.64702172030848, 4.645688852347547, 4.6442288994573717, 4.6426389672949755, 4.6409158895106399, 4.6390562178355745, 4.6370562112182405, 4.6349118239625007, 4.6326186928160729, 4.630172122955015, 4.6275670728075173, 4.6247981376563061, 4.6218595319585258, 4.6187450703196316, 4.6154481470575242, 4.6119617142947433, 4.6082782585187898, 4.6043897755556111, 4.6002877439094316, 4.5959630964335849, 4.5914061903131671, 4.5866067753625233, 4.5815539606708304, 4.5762361796674211, 4.5706411537304481, 4.5647558545272791, 4.5585664653601379, 4.5520583418965206, 4.5452159727998653, 4.5380229409450381, 4.5304618861165764, 4.5225144703524212, 4.5141613474249178, 4.5053821383578558, 4.496155415379353, 4.4864586973237968, 4.4762684602451897, 4.4655601679111676, 4.454308327941451, 4.4424865806608862, 4.4300678292876956, 4.4170244218925117, 4.4033283976625119, 4.3889518123876634, 4.3738671607299207, 4.3580479156764556, 4.341469208491894, 4.3241086752586995, 4.3059474983985861, 4.2869716728993223, 4.267173526621475, 4.2465535210528182, 4.2251223519369008, 4.2029033567280099, 4.1799352159506888, 4.1562749062556366, 4.132000822410947, 4.1072159324489546, 4.0820507649142694, 4.056665952296953, 4.0312539766066608, 4.0060396928059063, 3.9812791600873241, 3.9572563112811188, 3.9342770608963411, 3.9126606134642024, 3.892727996362638, 3.8747881957972514, 3.8591226844384168, 3.8459695285876649, 3.8355085646208886, 3.8278492495668841, 3.8230226544688581, 3.8209786680565632, 3.8215888639482993, 3.8246547678388492, 3.8299205839477541, 3.8370889355620315, 3.8458379296755547, 3.8558378904729271, 3.8667663762681048, 3.8783205122068685, 3.8902261364856598, 3.9022436848619124, 3.9141710704809096, 3.9258440305290283, 3.9371345124629529, 3.9479476823403425, 3.9582180847881094, 3.9679053962214401, 3.9769901125684841, 3.9854694155638763, 3.993353376751636, 4.000661589651382, 4.0074202685355651, 4.0136598153342229, 4.0194128317580429, 4.024712539027461, 4.0295915600387486, 4.0340810162198766, 4.0382098920250318, 4.0420046227153605, 4.0454888648759857, 4.0486834134081544, 4.051606233120113, 4.0542725772752668, 4.0566951694074733, 4.0588844283117336, 4.0608487193408882, 4.062594617984951, 4.0641271741963596, 4.0654501680739852, 4.0665663493602615, 4.0674776547662628, 4.0681853984522593, 4.068690432084983, 4.0689932718008315, 4.0690941901587907, 4.0689932718008217, 4.0686904320849804, 4.0681853984522558, 4.0674776547662548, 4.066566349360266, 4.0654501680739896, 4.0641271741963694, 4.0625946179849599, 4.0608487193408891, 4.05888442831173, 4.0566951694074795, 4.0542725772752766, 4.0516062331201148, 4.0486834134081597, 4.0454888648759839, 4.0420046227153641, 4.0382098920250256, 4.0340810162198704, 4.029591560038722, 4.0247125390274592, 4.0194128317580518, 4.0136598153342291, 4.0074202685355633, 4.0006615896513686, 3.9933533767516103, 3.9854694155638706, 3.9769901125685019, 3.9679053962214019, 3.9582180847880974, 3.9479476823403155, 3.937134512462928, 3.9258440305290314, 3.9141710704809216, 3.9022436848618893, 3.8902261364856692, 3.8783205122069102, 3.866766376268103, 3.8558378904729165, 3.8458379296755725, 3.8370889355620448, 3.8299205839477493, 3.8246547678388629, 3.8215888639482856, 3.8209786680565516, 3.8230226544688759, 3.8278492495668828, 3.8355085646208895, 3.8459695285876538, 3.8591226844384185, 3.8747881957972239, 3.8927279963626256, 3.9126606134642214, 3.9342770608963624, 3.9572563112810943, 3.981279160087313, 4.0060396928059294, 4.0312539766066759, 4.0566659522969646, 4.0820507649142908, 4.107215932448967, 4.1320008224109648, 4.156274906255633, 4.1799352159506835, 4.2029033567280001, 4.2251223519369177, 4.2465535210528023, 4.2671735266214794, 4.2869716728993454, 4.305947498398595, 4.324108675258679, 4.3414692084918913, 4.3580479156764591, 4.3738671607299011, 4.388951812387651, 4.403328397662496, 4.417024421892525, 4.4300678292876983, 4.4424865806608889, 4.4543083279414608, 4.4655601679111721, 4.4762684602451825, 4.486458697323811, 4.4961554153793681, 4.5053821383578656, 4.5141613474249214, 4.5225144703524194, 4.530461886116572, 4.538022940945047, 4.5452159727998804, 4.5520583418965277, 4.5585664653601405, 4.5647558545272879, 4.5706411537304543, 4.5762361796674318, 4.5815539606708269, 4.5866067753625259, 4.5914061903131769, 4.5959630964335929, 4.6002877439094405, 4.6043897755556227, 4.608278258518788, 4.6119617142947495, 4.6154481470575224, 4.6187450703196298, 4.6218595319585294, 4.6247981376563025, 4.627567072807496, 4.6301721229550159, 4.6326186928160551, 4.6349118239624989, 4.6370562112182316, 4.639056217835579, 4.6409158895106328, 4.6426389672949444, 4.6442288994573699, 4.6456888523475346, 4.6470217203084818, 4.6482301346824944, 4.649316471950816, 4.6502828610445883, 4.6511311898602248, 4.6518631110097814, 4.6524800468329284, 4.6529831936937347, 4.6533735255830244, 4.6536517970426186, 4.6538185454255512, 4.6538740925030693, 4.6538463220356538, 4.6537629939333662, 4.6536240580787185, 4.6534294308853301, 4.6531789952116904, 4.6528726002403458, 4.6525100613225217, 4.6520911597874077, 4.6516156427160604, 4.6510832226799579, 4.6504935774431226, 4.6498463496279161, 4.6491411463435881, 4.6483775387775275, 4.6475550617480659, 4.6466732132184347, 4.6457314537711749, 4.6447292060422214, 4.6436658541135625, 4.6425407428642691, 4.6413531772778667, 4.6401024217062732, 4.6387876990884864, 4.6374081901230486, 4.6359630323935175, 4.6344513194452084, 4.6328720998127748, 4.6312243759963563, 4.6295071033860884, 4.6277191891330043, 4.6258594909652357, 4.6239268159480922, 4.6219199191870377, 4.6198375024720759, 4.617678212861982, 4.6154406412080204, 4.6131233206152933, 4.6107247248412238, 4.608243266629982, 4.6056772959824688, 4.6030250983615524, 4.6002848928316649, 4.5974548301339757, 4.5945329906967727, 4.5915173825827749, 4.5884059393743613, 4.5851965179994343, 4.5818868965008264, 4.5784747717530943, 4.5749577571318349, 4.5713333801416329, 4.5675990800106963, 4.5637522052612303, 4.5597900112671725, 4.5557096578127698, 4.5515082066684629, 4.5471826192028901, 4.5427297540545011, 4.5381463648885472, 4.5334290982714815, 4.5285744916989037, 4.5235789718194184, 4.5184388529042279, 4.5131503356186027, 4.5077095061623789, 4.5021123358541502, 4.4963546812478299, 4.4904322848808294, 4.4843407767697316, 4.4780756767842487, 4.4716323980497688, 4.4650062515493918, 4.458192452119313, 4.4511861260579648, 4.4439823205978284, 4.4365760155212151, 4.4289621372361268, 4.4211355756679067, 4.413091204363762, 4.4048239042538988, 4.3963285915616348, 4.3876002504075187, 4.3786339707081678, 4.3694249920263921, 4.359968754089186, 4.3502609547459103, 4.3402976161965201, 4.3300751603683478, 4.3195904943635401, 4.3088411069290204, 4.2978251769129932, 4.2865416946614747, 4.2749905972650337, 4.2631729184823195, 4.2510909540326782, 4.2387484427510298, 4.2261507638221998, 4.2133051499437055, 4.2002209157889876, 4.186909700540677, 4.1733857225236521, 4.1596660430719803, 4.145770835709599, 4.1317236555045849, 4.1175517020827384, 4.1032860682762573, 4.0889619647762911, 4.0746189095142551, 4.0603008688975253, 4.0460563365836268, 4.0319383343318886, 4.0180043187902283, 4.0043159780427775, 3.9909389025641913, 3.9779421170897851, 3.965397462988121, 3.9533788251310558, 3.9419612030286197, 3.9312196330555444, 3.9212279767258287, 3.9120575987984481, 3.9037759679924551, 3.896445221590136, 3.8901207424488535, 3.8848498021479694, 3.8806703264360989, 3.8776098382574617, 3.8756846290987879, 3.8767055367446241, 3.8873956048030003, 3.9063836175536633, 3.9317158513040478, 3.9612146519154408, 3.9928100642570583, 4.0247671936152054, 4.0557884268665196, 4.0850130684347246, 4.1119545583765671, 4.1364125827005696, 4.1583854473932602, 4.1779957663988112, 4.1954336466877455, 4.2109165655192928, 4.224663020362283, 4.2368765994297659, 4.2477374786541384, 4.2573989674766324, 4.2659873381367523, 4.2736036798803063, 4.2803269018284302, 4.2862172822371338, 4.2913201535549579, 4.295669446707838, 4.2992909136208395, 4.3022049173667849, 4.3044287327456763, 4.3059783411880943, 4.3068697350705287, 4.3071197691414778, 4.3067466117103219, 4.3057698565006515, 4.3042103587344744, 4.3020898573517661, 4.2994304405762449, 4.2962539055112616, 4.2925810551067336, 4.2884309684583384, 4.283820273518951, 4.2787624452491366, 4.2732671471622501, 4.2673396301913504, 4.2609801998061894, 4.254183760324568, 4.2469394443764701, 4.2392303355051277, 4.2310332929578092, 4.2223188898789283, 4.213051479406424, 4.2031894076012204, 4.1926853976536309, 4.1814871362497898, 4.1695381000324154, 4.1567786672059928, 4.143147565668106, 4.1285837133267567, 4.1130285067064936, 4.0964286081612613, 4.0787392669700138, 4.0599281817269084, 4.0399798669680376, 4.0189004225866922, 3.9967225185387241, 3.9735103011180692, 3.9493638074332575, 3.9244223556789146, 3.8988662830271639, 3.8729163611134561, 3.8468302660296745, 3.8208956466693778, 3.7954196381530121, 3.7707150938381071, 3.7470843108623075, 3.7248015143555446, 3.704095736261428, 3.6851358737206223, 3.6680195763070036, 3.6527671944599054, 3.6393213998161222, 3.6275523932400402, 3.6172679963885424, 3.6082274997373229, 3.6001579787753832, 3.5927718878689845, 3.5857850391703363, 3.5789344795843396, 3.5719961891730354, 3.5648028390888817, 3.5572619693229939, 3.5493747749064002, 3.5412551109846127, 3.5331472297277031, 3.5254390874625621, 3.5186659311402928, 3.5134967949367173, 3.5106956112882641, 3.511050566849681, 3.5152718443902389, 3.5238693391000799, 3.5370354810505011, 3.554567317604874, 3.5758588133736717, 3.5999759364255124, 3.6257998258592328, 3.6522005372726447, 3.6781970255958512, 3.7030697234578094, 3.7264120915531911, 3.748126018987417, 3.7683764353565232, 3.7875225667889465, 3.8060401303501816, 3.824443998635493, 3.843216744820861, 3.8627458563301174, 3.8832713427404597, 3.9048457286097378, 3.927309572548515, 3.9502868282788333, 3.973204219306937, 3.9953360554025128, 4.0158704733434654, 4.0339868542628183, 4.0489304986009955, 4.0600721213001325, 4.0669460612662727, 4.0692689753012727, 4.0677184851882515, 4.0631076877943766, 4.0555584524734298, 4.0452727753841007, 4.0325291723747592, 4.0176745831165235, 4.0011103613436001, 3.9832721932383719, 3.9646053679839985, 3.9455381423436324, 3.9264565163555702, 3.907683409996328, 3.8894642108513162, 3.8719593891842718, 3.8552437851199715, 3.8393115160302598, 3.8240852537846801, 3.809428742682841, 3.7951616797893584, 3.7810763053372534, 3.766955167325075, 3.7525895098163748, 3.7377976048536175, 3.7224421356316948, 3.7064454854214737, 3.6898015506544524, 3.672582561938488, 3.6549394733790108, 3.6370948791536457, 3.6193281981384788, 3.6019539836064904, 3.5852954687131113, 3.5696565273526559, 3.5552957645846619, 3.5424062184455609, 3.531103158143833, 3.5214209618094325, 3.5133184693730435, 3.5066909450277861, 3.5013861057568545, 3.497221617253043, 3.4940018854232089, 3.491532653124469, 3.4896326287581072, 3.4881419739163366, 3.4869278915316757, 3.4858877802884654, 3.4849504906033313, 3.4840761811277603, 3.4832551785632266, 3.4825061233306269, 3.4818735634757569, 3.4814250538576919, 3.4812477356845815, 3.4814443180201504, 3.4821283617717516, 3.4834187809960131, 3.4854335281023845, 3.4882825180979657, 3.492059967134967, 3.4968364603585087, 3.50265120371163, 3.5095050274668202, 3.5173547663014793, 3.5261096156995957, 3.535629942928781, 3.5457288172476713, 3.5561762450097318, 3.5667057970475256, 3.5770230544543136, 3.5868151278897598, 3.595760462170134, 3.6035382357688213, 3.6098368938242196, 3.6143616869628277, 3.6168414959501614, 3.6170356801653583, 3.6147421856222546, 3.6098086846922826, 3.6021490844911286, 3.5917682723280322, 3.5787982732185508, 3.5635486268404781, 3.5465718699081306, 3.5287400934177473, 3.5113188232383803, 3.4960089141861834, 3.4849084208764038, 3.4803354388747922, 3.4844710298851185, 3.4988500955373283, 3.523839342745716, 3.558328520178637, 3.5998261439148003, 3.6449682179575693, 3.6902338661166878, 3.7325804370759568, 3.7698071145665675, 3.8006252750734961, 3.8245306794704885, 3.8415972819067687, 3.8522786864856693, 3.8572572698277412, 3.8573474516595314, 3.8534424547539503, 3.8464881507364814, 3.837467694920639, 3.8273833771844514, 3.8172263606304844, 3.8079306370798305, 3.8003142798418299, 3.7950176159557443, 3.7924520467615328, 3.7927728224721382, 3.7958836507272866, 3.8014725100406284, 3.8090699592079194, 3.818116736342323, 3.8280276580316026, 3.8382426486607799, 3.8482608941840368, 3.8576585977084186, 3.8660935887758439, 3.8733010624175188, 3.8790845092036763, 3.8833050656284418, 3.885871543737812, 3.8867325574291276], [3.809625706630813, 3.8072773156203428, 3.8003425605879322, 3.7891489884571281, 3.7742275568031527, 3.7562828517807278, 3.7361421020933734, 3.7146834311064847, 3.692751475681602, 3.6710740872152541, 3.6501941538569227, 3.6304256882543235, 3.6118362290466508, 3.5942519498449435, 3.577279664915296, 3.5603410424728126, 3.5427175428829845, 3.5236087082601681, 3.5022106847023915, 3.4778253496490885, 3.4500109046840817, 3.4187775165548082, 3.3848094564801152, 3.3496534357462053, 3.3157614406492968, 3.2862552346559162, 3.2643507254873358, 3.2525644222777998, 3.2520188616847876, 3.2621813541181193, 3.2811425058214763, 3.3062436347238631, 3.334734843228317, 3.3642357763012196, 3.3929419640050078, 3.4196368754007196, 3.4436013516664974, 3.4644922851119464, 3.4822304191291518, 3.4969124555550644, 3.5087488508068354, 3.5180228887114606, 3.5250652171799541, 3.5302385271317029, 3.5339281102902089, 3.5365350984290385, 3.5384700997289769, 3.5401457176862259, 3.5419671225663052, 3.5443204914170829, 3.5475597482539172, 3.5519925838638771, 3.5578671418048797, 3.5653609399001387, 3.5745734944084453, 3.5855237217338383, 3.5981525754924397, 3.6123306615231354, 3.6278699135654429, 3.6445379429314362, 3.6620734749145334, 3.6802013581557573, 3.6986459222665511, 3.7171418690725622, 3.7354423154028282, 3.7533239830128053, 3.7705898095711374, 3.7870694215534555, 3.8026179771069772, 3.8171138790807317, 3.8304558034053175, 3.8425594108169334, 3.8533540296059341, 3.8627795262958839, 3.8707835272264242, 3.8773191204251232, 3.8823431551624812, 3.8858152663814209, 3.8876977826203554, 3.8879567286514609, 3.8865642063994774, 3.8835025255857123, 3.8787705486119157, 3.8723927904305353, 3.8644318315242159, 3.8550044880077956, 3.8443018239009583, 3.8326123314867506, 3.8203462746005252, 3.8080571796075606, 3.7964538956695448, 3.7863941432895056, 3.7788493657144011, 3.7748329850022739, 3.775291699657549, 3.7809722682101126, 3.7922906578860127, 3.8092391659046618, 3.8313627009339832, 3.8578162575470936, 3.8874893084976314, 3.9191623388571775, 3.951655596672675, 3.9839403472530823, 4.0152005754171478, 4.0448489739354709, 4.0725100432718193, 4.0979850254509298, 4.1212108005447678, 4.1422206851276382, 4.161111198859941, 4.178016093776729, 4.1930873162804749, 4.2064818201461822, 4.2183529448967718, 4.22884515816357, 4.238091163374647, 4.2462106000420539, 4.2533097678084291, 4.2594819711880518, 4.2648082083983248, 4.2693580199919712, 4.2731903781620835, 4.2763545423028573, 4.278890836272093, 4.2808313221749312, 4.2822003576073397, 4.2830150304950445, 4.283285469589786, 4.2832352997147716, 4.2830847005186401, 4.2828334030163342, 4.2824809579920062, 4.2820267346328267, 4.2814699186066028, 4.2808095095730003, 4.2800443181156957, 4.2791729620794596, 4.27819386229325, 4.2771052376571639, 4.2759050995679022, 4.2745912456536059, 4.2731612527863527, 4.2716124693354196, 4.2699420066224842, 4.2681467295340987, 4.2662232462445298, 4.2641678969965762, 4.2619767418844248, 4.2596455475787174, 4.2571697729286662, 4.2545445533735782, 4.2517646840913601, 4.2488246018084492, 4.2457183651933299, 4.2424396337537038, 4.2389816451568354, 4.235337190894179, 4.2314985902147875, 4.22745766225857, 4.2232056963312097, 4.2187334202786779, 4.214030966941416, 4.2090878387003343, 4.2038928701683282, 4.1984341891384549, 4.1926991759736953, 4.1866744217210456, 4.1803456853577634, 4.1736978507400488, 4.1667148840309025, 4.1593797926469689, 4.1516745870976433, 4.1435802475098287, 4.1350766971590582, 4.1261427859875095, 4.1167562879092099, 4.1068939167191276, 4.0965313666716421, 4.085643385323003, 4.0742038880854627, 4.0621861261685375, 4.0495629222279081, 4.0363069911380194, 4.0223913668572591, 4.007789960329502, 3.9924782776531669, 3.9764343321314977, 3.9596397879054006, 3.942081376041382, 3.9237526252481283, 3.9046559474478628, 3.8848051113188427, 3.8642281221436274, 3.8429705007224766, 3.821098914181166, 3.7987050536365361, 3.7759095751078799, 3.7528658202178353, 3.7297629157590846, 3.7068277265227434, 3.6843250236193095, 3.6625551615333047, 3.6418485719141933, 3.6225565254715004, 3.6050379226204941, 3.5896423607026513, 3.5766903574706514, 3.5664522948247455, 3.5591282353029059, 3.55483108101649, 3.5535754408716453, 3.5552739852846393, 3.5597420681811385, 3.5667101844859039, 3.5758426842048308, 3.5867603446470953, 3.599064073822241, 3.61235719957538, 3.626264377044607, 3.6404459315260529, 3.6546072483439036, 3.6685034774997405, 3.6819402626437174, 3.6947714229102862, 3.7068945501168726, 3.7182453910854703, 3.7287917240344788, 3.7385272561693959, 3.7474658982217717, 3.7556366276591935, 3.763079041526141, 3.7698396212638925, 3.7759686806157715, 3.7815179377990673, 3.786538638613103, 3.7910801530247955, 3.7951889701059391, 3.7989080221383391, 3.8022762763093176, 3.8053285404493393, 3.8080954369903104, 3.8106035063652905, 3.8128754072811208, 3.8149301866550305, 3.8167835965741448, 3.8184484395009703, 3.8199349262082638, 3.821251033674304, 3.8224028524872651, 3.8233949152621332, 3.8242304992231548, 3.8249118974924974, 3.825440654793022, 3.825817764250659, 3.8260438228014655, 3.8261191433983939, 3.8260438228014557, 3.8258177642506577, 3.8254406547930166, 3.8249118974924925, 3.8242304992231615, 3.8233949152621385, 3.8224028524872748, 3.8212510336743089, 3.8199349262082629, 3.8184484395009699, 3.8167835965741488, 3.8149301866550402, 3.812875407281124, 3.8106035063652981, 3.8080954369903082, 3.8053285404493389, 3.8022762763093136, 3.7989080221383347, 3.7951889701059147, 3.7910801530247928, 3.7865386386131106, 3.7815179377990749, 3.7759686806157702, 3.7698396212638814, 3.7630790415261193, 3.7556366276591904, 3.7474658982217885, 3.7385272561693581, 3.7287917240344699, 3.7182453910854427, 3.70689455011685, 3.694771422910291, 3.6819402626437272, 3.6685034774997143, 3.6546072483439098, 3.6404459315260933, 3.6262643770446017, 3.6123571995753698, 3.5990640738222575, 3.5867603446471081, 3.5758426842048263, 3.5667101844859155, 3.5597420681811256, 3.5552739852846273, 3.5535754408716604, 3.5548310810164887, 3.5591282353029099, 3.5664522948247379, 3.5766903574706523, 3.5896423607026282, 3.6050379226204798, 3.6225565254715164, 3.6418485719142102, 3.662555161533283, 3.684325023619297, 3.7068277265227647, 3.7297629157590975, 3.7528658202178447, 3.7759095751078973, 3.7987050536365503, 3.8210989141811842, 3.8429705007224753, 3.8642281221436252, 3.8848051113188333, 3.9046559474478757, 3.923752625248115, 3.9420813760413869, 3.9596397879054233, 3.9764343321315039, 3.9924782776531496, 4.0077899603294975, 4.0223913668572626, 4.036306991137999, 4.0495629222278957, 4.0621861261685215, 4.0742038880854761, 4.0856433853230056, 4.0965313666716465, 4.1068939167191356, 4.1167562879092126, 4.1261427859875042, 4.1350766971590716, 4.1435802475098393, 4.1516745870976521, 4.1593797926469742, 4.1667148840308998, 4.1736978507400417, 4.1803456853577723, 4.186674421721059, 4.1926991759737016, 4.1984341891384549, 4.2038928701683327, 4.2090878387003396, 4.2140309669414213, 4.2187334202786726, 4.2232056963312115, 4.2274576622585789, 4.2314985902147946, 4.2353371908941897, 4.2389816451568434, 4.2424396337537029, 4.2457183651933379, 4.2488246018084466, 4.2517646840913565, 4.2545445533735791, 4.2571697729286635, 4.2596455475786961, 4.261976741884423, 4.2641678969965584, 4.2662232462445289, 4.2681467295340934, 4.2699420066224887, 4.2716124693354134, 4.2731612527863243, 4.274591245653605, 4.2759050995678871, 4.2771052376571657, 4.2781938622932456, 4.2791729620794516, 4.280044318115694, 4.2808095095730003, 4.2814699186065903, 4.2820267346328347, 4.2824809579920009, 4.2828334030163253, 4.2830847005186348, 4.2832352997147636, 4.283285469589809, 4.2832603872209205, 4.2831851261685046, 4.2830596445802938, 4.2828838726531888, 4.2826577125588212, 4.282381038339337, 4.282053695773306, 4.2816755022109971, 4.2812462463790144, 4.2807656881542533, 4.280233558306108, 4.2796495582070175, 4.2790133595103983, 4.2783246037958929, 4.2775829021807352, 4.2767878348968207, 4.2759389508326917, 4.275035767039653, 4.2740777682008062, 4.2730644060627538, 4.2719950988278077, 4.2708692305068965, 4.2696861502311263, 4.2684451715209759, 4.2671455715121454, 4.2657865901360932, 4.2643674292546976, 4.2628872517464567, 4.2613451805437172, 4.2597402976187215, 4.2580716429168808, 4.2563382132355647, 4.2545389610467979, 4.252672793261981, 4.2507385699362956, 4.248735102911871, 4.2466611543969783, 4.2445154354798635, 4.2422966045751016, 4.2400032658008433, 4.2376339672854186, 4.2351871994010466, 4.2326613929241139, 4.2300549171199435, 4.2273660777517481, 4.2245931150124569, 4.2217342013795873, 4.2187874393932834, 4.2157508593581081, 4.212622416970274, 4.2093999908723854, 4.2060813801393868, 4.2026643016998326, 4.1991463876986588, 4.1955251828088196, 4.1917981415015397, 4.1879626252865396, 4.1840158999373136, 4.1799551327182423, 4.1757773896352468, 4.17147963273512, 4.1670587174835312, 4.1625113902580395, 4.1578342859975708, 4.1530239260592872, 4.1480767163400065, 4.1429889457318154, 4.1377567849905521, 4.1323762861108886, 4.1268433823152302, 4.1211538887816035, 4.1153035042549808, 4.1092878137083808, 4.1031022922456142, 4.0967423104657454, 4.0902031415417435, 4.0834799703013962, 4.0765679046400383, 4.0694619896388726, 4.0621572248139257, 4.054648584975669, 4.0469310452407443, 4.0389996108045674, 4.0308493521543669, 4.0224754464815469, 4.0138732261316941, 4.0050382350178895, 3.9959662940074541, 3.9866535763792736, 3.977096694529803, 3.9672927991783569, 3.9572396923808704, 3.9469359556968993, 3.9363810948587119, 3.925575702252456, 3.9145216384236412, 3.9032222336464426, 3.891682510328649, 3.8799094266369423, 3.8679121411947528, 3.8557022980015558, 3.8432943298147952, 3.8307057771005644, 3.8179576182681574, 3.805074605243433, 3.7920855964997209, 3.779023877468048, 3.7659274558322173, 3.752839316651142, 3.739807619660346, 3.7268858186533396, 3.7141326807557329, 3.7016121819581538, 3.6893932548009016, 3.6775493649648401, 3.6661578960913834, 3.6552993267667158, 3.6450561905081367, 3.6355118188816542, 3.6267488794374363, 3.6188477335720699, 3.6118846539968348, 3.6059299561736307, 3.6010461115601862, 3.5972859213102462, 3.5946908357075702, 3.5932895057877201, 3.5930966484237779, 3.599694345656347, 3.6162898302872981, 3.6410660710591003, 3.6715729883609995, 3.7052202864520312, 3.7396958747290867, 3.7732106802914536, 3.8045645755107147, 3.8330869616218548, 3.8585179098103897, 3.8808798652105629, 3.9003671352347187, 3.9172625228869302, 3.931880261538006, 3.9445301990345056, 3.9554974357700665, 3.9650324127740944, 3.9733476633949127, 3.9806185788856303, 3.9869864273211184, 3.9925624978520133, 3.9974326664008721, 4.0016619524295951, 4.0052988089865851, 4.0083789967249404, 4.0109289619711257, 4.0129686849787323, 4.0145139964716936, 4.0155783834861696, 4.0161743218931596, 4.0163141840763865, 4.0160107767756399, 4.0152775667024194, 4.0141286508655529, 4.0125785253625752, 4.0106417014804885, 4.0083322120365485, 4.0056630446017172, 4.0026455320688834, 3.9992887252877081, 3.9955987673999709, 3.991578285174822, 3.9872258091193, 3.9825352314382259, 3.9774953090684302, 3.9720892180526906, 3.9662941655243547, 3.9600810666468922, 3.9534142961282495, 3.9462515275537573, 3.9385436789049022, 3.9302349893785511, 3.9212632610560183, 3.9115603090493636, 3.9010526752281263, 3.8896626729579706, 3.8773098424416266, 3.8639129065484834, 3.8493923228351825, 3.8336735250138707, 3.8166909313064803, 3.7983927615333228, 3.7787466422301099, 3.7577458827414758, 3.7354161708268649, 3.7118222654208468, 3.6870740684981822, 3.6613312636014874, 3.63480555847153, 3.607759521185737, 3.5805011163414466, 3.5533733799870659, 3.5267392308144347, 3.5009621501562433, 3.4763842522566732, 3.4533039311056015, 3.4319556233281947, 3.4124941356803693, 3.394985430161813, 3.3794048521271001, 3.3656427425831081, 3.3535164430369742, 3.3427870797977413, 3.3331793007600252, 3.3244023115261694, 3.316171010238278, 3.3082265991134676, 3.3003565997422304, 3.2924145803754041, 3.284339993739477, 3.2761782011078613, 3.2680998919872333, 3.2604175855858966, 3.2535947203223272, 3.2482403139099669, 3.2450802184084933, 3.2448963125419303, 3.2484298098063107, 3.2562557364899498, 3.2686510894612648, 3.2854929293332527, 3.3062249952426126, 3.3299155293662301, 3.3553985169880143, 3.3814603631719531, 3.4070206105408896, 3.4312643534915219, 3.4537072626864211, 3.4741974908920912, 3.4928725064120982, 3.5100916559591391, 3.526360969818755, 3.5422602311787665, 3.5583767373282305, 3.5752465642885247, 3.5933024318424893, 3.6128271123607165, 3.6339125556161846, 3.6564273738350588, 3.6799984468296976, 3.7040146562232388, 3.7276599626998883, 3.7499776992931708, 3.7699590838861843, 3.7866406476769998, 3.7991925244775322, 3.8069844221718228, 3.809625706630813, 3.807862301999303, 3.8026297131190492, 3.7940993770466065, 3.7825515455965752, 3.7683650553688834, 3.7520001724776044, 3.7339739383399535, 3.7148293302370368, 3.6951014351654226, 3.6752849076773795, 3.655806800073587, 3.637007548393024, 3.6191310557252887, 3.6023231310496602, 3.5866364919509315, 3.5720402388272148, 3.5584319820940378, 3.545651357469501, 3.5334942336961763, 3.5217273429642577, 3.5101032935217988, 3.4983759709545912, 3.4863162387324129, 3.4737276460489368, 3.4604615678262216, 3.4464308648028634, 3.4316208086719766, 3.4160957547788291, 3.3999999893525961, 3.3835514685053387, 3.3670278946862946, 3.3507457149086513, 3.3350339743514859, 3.3202061654418404, 3.3065338767622992, 3.294225888935622, 3.2834153687109975, 3.2741562524226242, 3.2664282434884537, 3.2601485263485279, 3.2551875975001305, 3.2513865693701183, 3.248573756484697, 3.2465790598256801, 3.2452453943044239, 3.2444370020928561, 3.2440448953529724, 3.2439898781267891, 3.2442236490474694, 3.2447284361232631, 3.2455155097392354, 3.2466227967757186, 3.2481117024636585, 3.2500631535750699, 3.2525728174310329, 3.2557454333800644, 3.2596882218465471, 3.2645034126419157, 3.2702800556439673, 3.2770854319358795, 3.2849565507443628, 3.293892365542046, 3.3038474333447567, 3.314727737428496, 3.326389270275107, 3.338639728484921, 3.3512433325869639, 3.3639284084941652, 3.3763970271985722, 3.3883357670388063, 3.3994265893963282, 3.40935692111012, 3.4178282973557574, 3.4245632948327769, 3.4293109276852274, 3.4318511498937059, 3.4319995939391186, 3.4296141885298055, 3.4246058657704692, 3.4169562044097321, 3.4067455014858847, 3.3941951736768066, 3.3797279315293762, 3.3640465432741502, 3.3482249877194823, 3.3337915260294118, 3.3227601993145361, 3.3175407112703716, 3.3206467939644715, 3.3341671741034671, 3.3590900056945396, 3.3947408404866302, 3.4386627857781056, 3.4870967569071509, 3.5358783115722461, 3.5813352165879353, 3.6208379928591792, 3.6529173394781473, 3.6770784952927191, 3.6935007357861807, 3.7027571987264984, 3.7056134539648755, 3.7029101671405491, 3.6955115274321297, 3.6842957956082079, 3.6701664955828992, 3.6540664936117824, 3.636980765833477, 3.6199176634469281, 3.6038642130224745, 3.5897189050820275, 3.5782141433101713, 3.5698468193297255, 3.5648358494239796, 3.5631187028246689, 3.5643874368553985, 3.5681536229266513, 3.5738254157586207, 3.5807804226263871, 3.5884232050041041, 3.596222934622749, 3.6037322324269176, 3.6105913669071619, 3.616522926901041, 3.6213215918567356, 3.6248425120148293, 3.6269906439858595, 3.6277124411156749], [3.5552505336700135, 3.5526516739293164, 3.5449986749666871, 3.5327141884111741, 3.5164731127102176, 3.4971517969732759, 3.4757510968694114, 3.4532992787476822, 3.43074946298265, 3.4088899153057826, 3.3882815462775135, 3.3692278666756486, 3.3517735170297671, 3.3357223870409625, 3.32066611961339, 3.3060168625870459, 3.291042449945135, 3.2749066467944812, 3.2567216031027075, 3.2356244216091481, 3.2108939594439203, 3.1821242259163789, 3.149459317183068, 3.1138604737643725, 3.0773126397176771, 3.0428078594197734, 3.0139380215589791, 2.9940794005111484, 2.9854364071646668, 2.9884090891111148, 3.0016125282681965, 3.0224760129566444, 3.048045073656326, 3.0756229423622852, 3.1031030339996395, 3.1290353467424481, 3.1525413967596201, 3.1731770266723145, 3.1908004389026852, 3.2054681189896872, 3.2173616967117549, 3.2267406336310809, 3.23391368231926, 3.2392227053981184, 3.2430337931370961, 3.2457319133461318, 3.2477163647638867, 3.2493951170663387, 3.2511768091910707, 3.253459838521231, 3.2566186580990042, 3.2609880963216322, 3.2668471475074892, 3.2744041296025728, 3.2837852378767063, 3.2950282584937596, 3.3080825551125388, 3.3228155278114646, 3.3390247729250424, 3.3564543707451411, 3.3748132670791544, 3.3937936606412373, 3.4130876141251845, 3.4324006449613322, 3.4514616672590228, 3.4700292159481529, 3.4878943043565154, 3.504880518839617, 3.5208420526971209, 3.5356603643945093, 3.5492400566434088, 3.5615044528643556, 3.5723912254536421, 3.5818483247140831, 3.5898303780005318, 3.596295679273998, 3.6012038702874105, 3.6045144252981349, 3.6061860908790218, 3.6061775008780952, 3.6044492834103199, 3.6009680990955797, 3.5957131879547779, 3.5886861324297321, 3.5799246154532933, 3.56952087194386, 3.5576451455135571, 3.544573548274323, 3.5307180237698277, 3.5166534573630988, 3.5031335315720882, 3.4910835890651515, 3.4815575319790724, 3.4756495326584771, 3.474362419066146, 3.4784521562130042, 3.488285402960337, 3.5037539225066072, 3.5242773904369198, 3.5488972497387317, 3.5764328296823815, 3.6056534955585446, 3.6354240831166313, 3.6647992543190155, 3.6930635024857503, 3.7197280439566729, 3.7445011803727026, 3.7672472553025544, 3.7879448162287286, 3.8066498670888218, 3.8234665072003078, 3.8385250516450178, 3.8519666450548953, 3.8639330208933549, 3.8745600899334254, 3.8839742428373247, 3.8922904963267535, 3.8996118394066674, 3.9060293226634792, 3.9116225765517494, 3.9164605490058069, 3.9206023264298886, 3.9240979527228959, 3.926989194859646, 3.9293102256284187, 3.9310882080762299, 3.9323437746609571, 3.9330913988888598, 3.9333396595967987, 3.9332948377207608, 3.9331602966887398, 3.9329358100549929, 3.9326209996285546, 3.9322153342964583, 3.931718128367276, 3.9311285394255031, 3.9304455656850616, 3.9296680428270259, 3.9287946403039209, 3.9278238570899044, 3.9267540168529931, 3.9255832625218972, 3.9243095502173495, 3.9229306425128043, 3.9214441009872254, 3.9198472780268032, 3.9181373078298805, 3.9163110965635788, 3.9143653116165136, 3.9122963698873878, 3.9101004250430824, 3.9077733536761028, 3.9053107402849889, 3.9027078609962782, 3.8999596659418496, 3.8970607602004841, 3.8940053832082242, 3.890787386539019, 3.8874002099551772, 3.8838368556266429, 3.8800898604206493, 3.8761512661693054, 3.8720125878324363, 3.8676647794903509, 3.8630981981248036, 3.8583025651824738, 3.8532669259634087, 3.8479796069440333, 3.842428171233232, 3.8365993724796508, 3.8304791077045275, 3.824052369739217, 3.817303200212665, 3.8102146443775733, 3.8027687095055591, 3.7949463291471055, 3.7867273362713987, 3.778090449214814, 3.7690132755174486, 3.7594723401738586, 3.7494431466268536, 3.7389002810674268, 3.7278175733474259, 3.7161683311463203, 3.7039256680331194, 3.6910629507819706, 3.6775543967380488, 3.6633758581093532, 3.6485058365485621, 3.6329267778308765, 3.616626702019039, 3.5996012279246972, 3.5818560499146548, 3.5634099172623404, 3.544298147296669, 3.5245766683733457, 3.5043265310171345, 3.483658738969952, 3.4627191310351786, 3.4416928880736042, 3.4208080537381989, 3.4003372621409977, 3.3805966987678273, 3.3619412422621249, 3.3447548219226322, 3.3294353599526008, 3.3163743037620224, 3.3059316802189618, 3.2984087027111268, 3.2940209950433093, 3.2928761424807593, 3.2949592339560305, 3.3001291643890704, 3.3081268238986947, 3.3185942838846154, 3.331102229190352, 3.3451816727387773, 3.3603556926587217, 3.3761675167473277, 3.3922024598627898, 3.4081026038696618, 3.4235743473722269, 3.4383898303314235, 3.4523836971529498, 3.4654467569424821, 3.4775179444246636, 3.4885756990545533, 3.4986295588590228, 3.507712471163142, 3.5158740849202648, 3.5231751165558616, 3.5296827673757076, 3.5354671040173744, 3.5405982812933092, 3.545144477639377, 3.5491704182037993, 3.5527363728554047, 3.5558975316886716, 3.5587036762604196, 3.561199079310688, 3.5634225783976823, 3.5654077795149064, 3.5671833554376886, 3.5687734104968012, 3.5701978889760722, 3.5714730086608015, 3.5726117044760124, 3.5736240698626363, 3.5745177857146793, 3.5752985284740664, 3.575970350448241, 3.5765360266511741, 3.5769973635183927, 3.5773554657497857, 3.5776109583141698, 3.5777641613288154, 3.5778152161233967, 3.5777641613288051, 3.5776109583141724, 3.5773554657497795, 3.5769973635183905, 3.5765360266511821, 3.5759703504482476, 3.5752985284740757, 3.5745177857146855, 3.5736240698626336, 3.572611704476012, 3.5714730086608042, 3.570197888976085, 3.5687734104968047, 3.5671833554376935, 3.5654077795149033, 3.5634225783976823, 3.5611990793106885, 3.5587036762604165, 3.5558975316886468, 3.5527363728554002, 3.5491704182038069, 3.5451444776393823, 3.5405982812933088, 3.5354671040173642, 3.5296827673756868, 3.5231751165558616, 3.5158740849202808, 3.5077124711631056, 3.4986295588590153, 3.488575699054528, 3.4775179444246413, 3.4654467569424869, 3.4523836971529596, 3.438389830331396, 3.4235743473722375, 3.4081026038697004, 3.3922024598627827, 3.3761675167473189, 3.3603556926587386, 3.3451816727387884, 3.3311022291903463, 3.3185942838846265, 3.3081268238986801, 3.3001291643890536, 3.2949592339560456, 3.2928761424807553, 3.2940209950433146, 3.2984087027111197, 3.3059316802189636, 3.3163743037620024, 3.3294353599525883, 3.3447548219226477, 3.3619412422621395, 3.3805966987678078, 3.4003372621409858, 3.4208080537382206, 3.4416928880736153, 3.4627191310351848, 3.483658738969968, 3.5043265310171465, 3.5245766683733644, 3.5442981472966646, 3.5634099172623395, 3.5818560499146468, 3.5996012279247092, 3.616626702019027, 3.6329267778308814, 3.6485058365485816, 3.663375858109359, 3.6775543967380315, 3.6910629507819697, 3.7039256680331216, 3.7161683311463034, 3.7278175733474153, 3.7389002810674086, 3.7494431466268634, 3.759472340173859, 3.7690132755174526, 3.7780904492148233, 3.7867273362714031, 3.7949463291470953, 3.8027687095055716, 3.8102146443775853, 3.8173032002126721, 3.8240523697392206, 3.8304791077045226, 3.8365993724796463, 3.8424281712332409, 3.8479796069440435, 3.8532669259634154, 3.8583025651824729, 3.8630981981248076, 3.8676647794903558, 3.8720125878324425, 3.8761512661692978, 3.8800898604206502, 3.8838368556266505, 3.8874002099551834, 3.890787386539027, 3.8940053832082304, 3.8970607602004828, 3.8999596659418536, 3.9027078609962764, 3.9053107402849863, 3.9077733536761037, 3.9101004250430798, 3.9122963698873696, 3.9143653116165131, 3.9163110965635606, 3.9181373078298791, 3.9198472780267997, 3.9214441009872303, 3.9229306425127972, 3.9243095502173215, 3.925583262521898, 3.9267540168529798, 3.9278238570899067, 3.92879464030392, 3.9296680428270183, 3.9304455656850603, 3.9311285394255004, 3.9317181283672635, 3.9322153342964636, 3.9326209996285502, 3.9329358100549849, 3.9331602966887336, 3.9332948377207555, 3.9333396595968204, 3.9333172508209744, 3.933250012751615, 3.9331379101501698, 3.93298088424257, 3.9327788526542009, 3.9325317093187553, 3.9322393243609706, 3.9319015439524838, 3.9315181901408129, 3.9310890606513196, 3.9306139286612924, 3.9300925425460029, 3.9295246255959553, 3.9289098757051679, 3.9282479650292967, 3.9275385396132054, 3.9267812189871427, 3.9259755957307623, 3.9251212350037159, 3.9242176740425574, 3.9232644216217682, 3.9222609574790512, 3.9212067317027475, 3.9201011640803749, 3.9189436434071432, 3.9177335267524609, 3.9164701386836578, 3.9151527704443554, 3.9137806790866425, 3.9123530865547935, 3.9108691787186727, 3.9093281043548713, 3.9077289740736787, 3.9060708591896787, 3.9043527905332636, 3.9025737572016928, 3.9007327052464298, 3.8988285362948907, 3.8968601061036918, 3.8948262230411963, 3.8927256464968045, 3.8905570852138918, 3.8883191955447098, 3.8860105796239623, 3.8836297834593152, 3.8811752949359546, 3.8786455417335826, 3.8760388891539219, 3.8733536378570448, 3.8705880215056117, 3.8677402043162328, 3.8648082785183369, 3.861790261720996, 3.8586840941898108, 3.8554876360365484, 3.8521986643261066, 3.8488148701064051, 3.8453338553697618, 3.8417531299552818, 3.8380701084059869, 3.8342821067966755, 3.8303863395527245, 3.8263799162848686, 3.8222598386693201, 3.8180229974104507, 3.81366616932839, 3.8091860146246019, 3.8045790743862353, 3.7998417684033208, 3.7949703933846255, 3.7899611216743381, 3.7848100005891596, 3.7795129525156446, 3.7740657759316196, 3.7684641475422977, 3.7627036257530269, 3.7567796557357216, 3.7506875763874006, 3.7444226295243936, 3.7379799717090902, 3.7313546891643932, 3.7245418162979584, 3.7175363584329664, 3.7103333194238584, 3.7029277349286263, 3.6953147122074435, 3.6874894774283749, 3.6794474315755594, 3.6711842161797246, 3.6626957902176929, 3.6539785196560279, 3.6450292812387741, 3.6358455822335243, 3.6264256979448066, 3.616768828868214, 3.6068752793762338, 3.5967466597788009, 3.5863861134648953, 3.5757985705755582, 3.5649910292487164, 3.5539728648738214, 3.542756166949796, 3.5313561020074147, 3.519791299581871, 3.508084256356379, 3.4962617512999206, 3.4843552618668605, 3.4724013681162309, 3.4604421279842676, 3.4485254030068311, 3.4367051097114465, 3.4250413679488338, 3.4136005139804819, 3.402454943668233, 3.3916827502082287, 3.3813671221796451, 3.3715954719249663, 3.3624582720660854, 3.3540475897391713, 3.3464553240370019, 3.3397711718584349, 3.3340803699798265, 3.3294612851331755, 3.3259829470190354, 3.3237026388484869, 3.322663673339421, 3.322893486453196, 3.3244021745752743, 3.336427646599045, 3.3585962219227508, 3.3885293397257592, 3.4232266857946172, 3.4597220643750286, 3.4955739579535354, 3.5290850938626028, 3.5592886510703199, 3.5858032863272369, 3.6086510628314037, 3.6280945687690522, 3.6445145813537381, 3.6583286830963253, 3.6699425712497602, 3.6797243018790882, 3.6879932483242466, 3.695017819793454, 3.7010180002228665, 3.7061702620812089, 3.7106134145163709, 3.7144545779433957, 3.7177748563406001, 3.7206344965648439, 3.7230774450578945, 3.7251352778021203, 3.7268305145290537, 3.7281793474945966, 3.7291938263836859, 3.7298835478786825, 3.7302569027273047, 3.7303219353433983, 3.7300868712500224, 3.7295603661742369, 3.7287515275600871, 3.727669755017522, 3.7263244411698673, 3.7247245688971033, 3.7228782354488352, 3.7207921285936107, 3.7184709750686551, 3.7159169772157492, 3.713129249888746, 3.7101032665338534, 3.7068303207896429, 3.7032970080721181, 3.6994847304586509, 3.6953692278659451, 3.6909201391693203, 3.6861005987193876, 3.6808668768992709, 3.6751680781952882, 3.6689459170168632, 3.6621346004990576, 3.6546608590368894, 3.6464441795232241, 3.6373973131921113, 3.6274271492249257, 3.6164360658400296, 3.6043238904226467, 3.5909906158325673, 3.5763400257987117, 3.5602843702029454, 3.5427501903453478, 3.5236853121260561, 3.5030668884206739, 3.4809101713626767, 3.457277431318651, 3.432286130959239, 3.4061151558421425, 3.3790076748120872, 3.3512691579216223, 3.3232593245208895, 3.2953774023086888, 3.2680410372142483, 3.2416603685061096, 3.2166099158448569, 3.1932016951675477, 3.1716631164689724, 3.1521226125854098, 3.1346047275144291, 3.1190348776975352, 3.1052525930308557, 3.0930310831080146, 3.0821006232771948, 3.0721734832034677, 3.0629687502781779, 3.0542361907181053, 3.045779009327001, 3.037475821680748, 3.029302182174507, 3.0213514727379578, 3.0138537106038248, 3.007188798901498, 3.0018880630721032, 2.9986152511427604, 2.9981170504012224, 3.0011360152679996, 3.0082880569776731, 3.0199224820353479, 3.0359999963933944, 3.0560325859211264, 3.0791182108222137, 3.1040721871065244, 3.1296202925023895, 3.1545970436225628, 3.1780976517861728, 3.1995573747743893, 3.2187603830142075, 3.2357982460946491, 3.2510024276423368, 3.2648702025926215, 3.2779953790845515, 3.2910082367947462, 3.3045245991896226, 3.3191016831020912, 3.3351975885462126, 3.353131558389093, 3.3730435219522286, 3.3948542993103881, 3.418232196039535, 3.4425764062663076, 3.4670299928444637, 3.4905320616350455, 3.5119090056841542, 3.5299917317744445, 3.5437365894341659, 3.5523280553930405, 3.5552505336700135, 3.5532988650498365, 3.5475215492453951, 3.5381480289364546, 3.5255480481043122, 3.5102111808503511, 3.4927167620715109, 3.4736955181162297, 3.4537865662024014, 3.4335951677885883, 3.4136567987581916, 3.3944116143296874, 3.3761908960761615, 3.3592145779282419, 3.3435972643800915, 3.3293595735572863, 3.3164419773920994, 3.3047191492211585, 3.2940137538138812, 3.2841093619557395, 3.2747626433874872, 3.265715206340194, 3.2567054775624023, 3.2474809220003569, 3.2378107289568203, 3.2274988555699076, 3.2163970164730213, 3.2044168439772922, 3.1915400501708215, 3.1778250847295268, 3.1634086347288548, 3.1485005123058833, 3.1333711387906074, 3.1183319529707179, 3.1037104552498991, 3.0898228841090747, 3.0769482796374321, 3.0653076108849513, 3.0550506929334516, 3.0462520704858234, 3.0389153693404705, 3.0329842822494406, 3.0283576459871946, 3.0249060170211037, 3.0224875999290965, 3.0209620752700856, 3.0202015817313721, 3.0200986805847037, 3.0205715075356148, 3.0215665040138755, 3.0230591591957667, 3.0250531385364741, 3.0275780726596664, 3.0306861698851097, 3.0344477236284901, 3.0389455311559104, 3.0442682352545543, 3.0505026522430807, 3.0577252585343393, 3.0659931643495058, 3.0753350855073593, 3.0857429974393979, 3.0971652741885989, 3.1095021315637972, 3.1226040716113141, 3.1362737553501394, 3.1502713398659741, 3.1643228697970205, 3.1781309021586872, 3.1913862582178378, 3.2037797016364369, 3.2150124587492672, 3.2248047977637642, 3.2329023085858295, 3.2390800043012291, 3.2431448450392284, 3.2449377439061799, 3.2443365705291964, 3.2412621705165572, 3.235690031681842, 3.2276709855651178, 3.2173651608376455, 3.2050939510851526, 3.1914140810741896, 3.1772139414674561, 3.163821695186579, 3.1530927618971809, 3.147409597698593, 3.1494909191725693, 3.1619101580866498, 3.1863272056080718, 3.2226648729830725, 3.268677738202094, 3.3202946239008364, 3.3726721523170489, 3.4214237185441352, 3.4634404987076084, 3.4970890504261383, 3.5219507644295733, 3.5383931065537086, 3.5471815206351058, 3.5492141953777603, 3.5453790836755998, 3.5365013073587419, 3.5233470410519048, 3.5066574720244104, 3.4871936490935833, 3.4657771587289186, 3.4433133644585223, 3.4207857510022164, 3.3992143746159265, 3.379580059507945, 3.3627275948572155, 3.3492713057180898, 3.3395292005449821, 3.3335043592390816, 3.3309169944130623, 3.3312749807980229, 3.3339616706987307, 3.3383199942693094, 3.3437186505041461, 3.3495949331739334, 3.3554756887262376, 3.3609816361077454, 3.365821179128011, 3.3697790421979739, 3.3727036229197114, 3.3744955517816537, 3.3750988724480808], [3.3108811700887957, 3.308057155179323, 3.2997681504988998, 3.2865481645731238, 3.2692351069706835, 3.2488896846134505, 3.2266845404375508, 3.2037785369995788, 3.1811988724756435, 3.1597525246053317, 3.1399783441807507, 3.122137910881698, 3.1062338681082067, 3.0920418916255805, 3.079145311897252, 3.0669664530415388, 3.0547935347751265, 3.0418058484233392, 3.027103537968622, 3.009752766586522, 2.988862810880911, 2.9637172492107382, 2.9339812916785744, 2.8999891507215461, 2.8630620185891917, 2.8257139745052124, 2.791517333677946, 2.7644440550215554, 2.7477809411102108, 2.7430999430518965, 2.7498594394975284, 2.7658207105692716, 2.7879388723405563, 2.8132146667921543, 2.8392064795791634, 2.8641894441536149, 2.8870928294057343, 2.9073503551825297, 2.9247463406708536, 2.9392922614844355, 2.9511400384267414, 2.9605265085121379, 2.967740609241762, 2.9731055562599265, 2.9769700065619755, 2.9797038001427434, 2.9816950869412087, 2.9833465209965424, 2.9850688873621505, 2.9872711702607693, 2.9903467811263944, 2.994656478011307, 3.0005093670467256, 3.0081441353337901, 3.0177131200785694, 3.0292717832479736, 3.0427755491810355, 3.0580848560096934, 3.0749779202525476, 3.0931694606387818, 3.112332786150124, 3.1321223982648472, 3.152194574649374, 3.1722241214671145, 3.1919163630534944, 3.2110142587886616, 3.2293011530314937, 3.2466000228953464, 3.2627702120994106, 3.2777025894639684, 3.29131392019567, 3.3035410492756907, 3.3143353129217061, 3.3236574415845554, 3.3314731072667993, 3.33774920115364, 3.3424509024414544, 3.3455396128320243, 3.3469718816494933, 3.3466995340625267, 3.3446713408961326, 3.3408367333006108, 3.3351522629663157, 3.3275917161028024, 3.3181609512201122, 3.3069185325199824, 3.2940028690074028, 3.2796655316284751, 3.2643083165358462, 3.2485181451717993, 3.2330892050323743, 3.2190170984162605, 3.2074480968689301, 3.1995721175306948, 3.196463890962804, 3.1989007271135432, 3.2072066315239494, 3.2211759226032388, 3.2401065683185384, 3.2629330890588242, 3.2884135071080762, 3.3153133878154337, 3.3425441004767609, 3.3692385780385581, 3.3947705939498904, 3.4187352139102809, 3.4409093815422698, 3.4612071866922403, 3.4796385596561255, 3.4962753268839784, 3.5112254520840076, 3.5246146632560174, 3.5365740463025146, 3.5472321259802921, 3.556710149075351, 3.5651195558879381, 3.5725608874962629, 3.5791235939719233, 3.5848863761083551, 3.5899178155091209, 3.5942771340333706, 3.5980149825963044, 3.6011741987495336, 3.6037904981852353, 3.6058930816315731, 3.6075051486021663, 3.6086443152594101, 3.6093229367026831, 3.6095483352801021, 3.6095085901693289, 3.6093892908495824, 3.6091902451546742, 3.6089111321266341, 3.6085515009899392, 3.6081107697071113, 3.6075882231069603, 3.6069830105746039, 3.6062941432894338, 3.605520490994639, 3.6046607782789493, 3.6037135803484022, 3.6026773182622804, 3.6015502536049913, 3.6003304825605338, 3.5990159293542723, 3.5976043390206609, 3.5960932694530552, 3.594480082685731, 3.5927619353539049, 3.5909357682725909, 3.5889982950683659, 3.5869459897937399, 3.5847750734465427, 3.5824814993105623, 3.5800609370272869, 3.5775087553016376, 3.5748200031378192, 3.5719893894950765, 3.5690112612473568, 3.5658795793253337, 3.5625878929159107, 3.5591293115926685, 3.5554964752514886, 3.5516815217316355, 3.5476760520125428, 3.5434710928958602, 3.5390570571103224, 3.5344237008195707, 3.5295600785726364, 3.5244544958209287, 3.5190944592395965, 3.5134666252458473, 3.5075567473138141, 3.5013496229600656, 3.4948290416357501, 3.4879777352361181, 3.4807773335561243, 3.4732083278243602, 3.4652500464829696, 3.4568806487144266, 3.4480771429187147, 3.4388154395102406, 3.4290704501380538, 3.4188162488592497, 3.4080263150457712, 3.3966738830147758, 3.3847324296568977, 3.3721763387617631, 3.3589817892590728, 3.3451279239680147, 3.330598365102083, 3.315383151609415, 3.2994811795333359, 3.2829032269024441, 3.2656756345823688, 3.2478446874635201, 3.2294816875572909, 3.2106886213313026, 3.191604186573811, 3.1724097501618993, 3.1533345560388351, 3.1346592075047903, 3.1167161518803059, 3.0998856786455025, 3.0845859250041427, 3.0712557124630759, 3.0603298446711267, 3.0522078195944014, 3.0472186085722854, 3.0455858579645323, 3.0473990112454863, 3.0525958515158926, 3.0609605085703859, 3.072138242728415, 3.085665024435758, 3.1010070732576822, 3.1176039600012322, 3.1349089634414491, 3.1524218568042497, 3.1697115170399619, 3.1864279654528369, 3.2023051298594982, 3.2171565518608891, 3.2308665055056096, 3.2433787519206936, 3.2546846636982414, 3.2648119025691651, 3.2738143421575576, 3.2817635473127931, 3.2887418605990724, 3.2948369886114897, 3.3001379006024751, 3.3047318243994281, 3.3087021291691285, 3.3121269061754091, 3.3150780872547698, 3.3176209702110362, 3.3198140474071201, 3.3217090570341345, 3.3233511954920991, 3.3247794442541951, 3.3260269760306298, 3.327121613610204, 3.3280863210461988, 3.3289397114047672, 3.3296965585631813, 3.3303683028954079, 3.3309635423954762, 3.3314885020732841, 3.3319474754636764, 3.3323432329196545, 3.3326773920825254, 3.3329507465742547, 3.3331635495658891, 3.3333157494504673, 3.3334071753961716, 3.3334376710788987, 3.3334071753961649, 3.3333157494504704, 3.3331635495658833, 3.3329507465742534, 3.3326773920825339, 3.3323432329196612, 3.3319474754636853, 3.3314885020732876, 3.3309635423954731, 3.3303683028954083, 3.3296965585631857, 3.3289397114047805, 3.3280863210462024, 3.3271216136102093, 3.3260269760306298, 3.324779444254192, 3.3233511954920991, 3.3217090570341341, 3.3198140474070956, 3.31762097021103, 3.3150780872547783, 3.3121269061754144, 3.3087021291691299, 3.3047318243994193, 3.3001379006024587, 3.2948369886114901, 3.2887418605990848, 3.2817635473127607, 3.2738143421575492, 3.2648119025691429, 3.2546846636982227, 3.2433787519206949, 3.2308665055056185, 3.2171565518608611, 3.202305129859508, 3.1864279654528724, 3.1697115170399561, 3.1524218568042395, 3.1349089634414669, 3.1176039600012442, 3.1010070732576773, 3.0856650244357686, 3.0721382427284003, 3.0609605085703695, 3.0525958515159073, 3.0473990112454823, 3.045585857964539, 3.0472186085722783, 3.0522078195944014, 3.0603298446711076, 3.0712557124630631, 3.0845859250041587, 3.0998856786455158, 3.1167161518802895, 3.1346592075047783, 3.1533345560388542, 3.1724097501619095, 3.1916041865738167, 3.210688621331319, 3.2294816875573003, 3.2478446874635374, 3.2656756345823674, 3.2829032269024427, 3.299481179533327, 3.3153831516094265, 3.3305983651020683, 3.3451279239680201, 3.358981789259091, 3.3721763387617671, 3.3847324296568826, 3.396673883014774, 3.4080263150457752, 3.4188162488592342, 3.4290704501380427, 3.4388154395102246, 3.4480771429187245, 3.4568806487144261, 3.4652500464829727, 3.4732083278243682, 3.4807773335561274, 3.487977735236111, 3.4948290416357621, 3.5013496229600749, 3.5075567473138207, 3.5134666252458504, 3.5190944592395916, 3.5244544958209247, 3.5295600785726458, 3.5344237008195813, 3.539057057110325, 3.5434710928958566, 3.5476760520125437, 3.5516815217316409, 3.5554964752514926, 3.5591293115926623, 3.5625878929159116, 3.5658795793253404, 3.569011261247363, 3.5719893894950845, 3.5748200031378237, 3.5775087553016371, 3.5800609370272887, 3.5824814993105627, 3.5847750734465404, 3.5869459897937412, 3.5889982950683628, 3.5909357682725727, 3.5927619353539049, 3.5944800826857124, 3.5960932694530556, 3.5976043390206556, 3.5990159293542767, 3.6003304825605262, 3.6015502536049637, 3.6026773182622809, 3.6037135803483888, 3.6046607782789519, 3.6055204909946377, 3.606294143289428, 3.6069830105746039, 3.6075882231069598, 3.6081107697071002, 3.6085515009899458, 3.6089111321266301, 3.6091902451546636, 3.6093892908495757, 3.6095085901693236, 3.609548335280123, 3.6095284645582257, 3.6094688424129777, 3.6093694388940611, 3.6092302040461499, 3.609051067851285, 3.6088319401481956, 3.6085727105284415, 3.6082732482086937, 3.6079334018791642, 3.6075529995279751, 3.6071318482407171, 3.606669733974976, 3.6061664213091098, 3.6056216531650795, 3.6050351505041851, 3.6044066119953255, 3.6037357136549066, 3.603022108457675, 3.6022654259171945, 3.6014652716357172, 3.6006212268212421, 3.5997328477718815, 3.5987996653254264, 3.5978211842730432, 3.5967968827359336, 3.5957262115029507, 3.5946085933283451, 3.5934434221869798, 3.5922300624861458, 3.5909678482315561, 3.5896560821456061, 3.5882940347357937, 3.5868809433111943, 3.5854160109446367, 3.5838984053776506, 3.5823272578664715, 3.580701661965624, 3.5790206722467497, 3.5772833029494517, 3.5754885265613452, 3.5736352723243017, 3.5717224246630948, 3.5697488215339779, 3.5677132526891491, 3.5656144578542479, 3.5634511248150083, 3.5612218874101047, 3.5589253234267755, 3.5565599523959661, 3.5541242332841154, 3.5516165620786806, 3.5490352692653446, 3.5463786171946019, 3.5436447973366896, 3.5408319274240294, 3.5379380484817742, 3.5349611217475427, 3.5318990254838063, 3.5287495516868028, 3.5255104026991746, 3.5221791877352393, 3.518753419330872, 3.5152305097340921, 3.5116077672555392, 3.5078823926047726, 3.504051475242222, 3.5001119897858337, 3.4960607925178455, 3.4918946180486179, 3.487610076204636, 3.4832036492222294, 3.478671689344186, 3.4740104169347505, 3.4692159192505447, 3.4642841500299655, 3.4592109300931773, 3.4539919491785156, 3.4486227692813656, 3.4430988298063316, 3.4374154548969877, 3.4315678633672833, 3.425551181728375, 3.4193604608839787, 3.4129906971562591, 3.4064368584075364, 3.399693916135536, 3.3927568845495237, 3.3856208677744979, 3.3782811164867161, 3.3707330954514276, 3.3629725636127596, 3.3549956685729811, 3.3467990574884716, 3.3383800065952243, 3.3297365717479939, 3.3208677624981884, 3.3117737423273614, 3.3024560576704038, 3.2929178982703728, 3.2831643911635173, 3.2732029301480727, 3.263043541877741, 3.2526992886706609, 3.2421867066509775, 3.2315262758559697, 3.2207429163549874, 3.2098665011557119, 3.1989323726597525, 3.1879818446536343, 3.1770626663337351, 3.1662294188125331, 3.1555438082221254, 3.1450748133724513, 3.1348986405941344, 3.1250984347689519, 3.1157636946988232, 3.1069893441028138, 3.0988744178983558, 3.0915203380940257, 3.0850287752548451, 3.0794991200393826, 3.0750256236837954, 3.0716943042241494, 3.0695797531165829, 3.0687420100655185, 3.0692236970376827, 3.0710476105861551, 3.0742149608848286, 3.0914522546407093, 3.1187308436477532, 3.1530010349603117, 3.1907054657931719, 3.2286079129218708, 3.2643082825209326, 3.2963713868620075, 3.324187959133921, 3.3477301262287291, 3.3673146398508842, 3.3834227068711917, 3.3965824569209553, 3.4073016214118126, 3.4160344364709045, 3.4231694437731144, 3.4290288949134307, 3.4338739275888464, 3.4379121293279304, 3.441305660391107, 3.4441790274145827, 3.4466261113876517, 3.4487163213695906, 3.4504998749284113, 3.4520122619100566, 3.4532779669219695, 3.4543135281726469, 3.4551300064602133, 3.4557349329253841, 3.4561337994281831, 3.4563311513560127, 3.4563313390275865, 3.4561389802211999, 3.4557591824391074, 3.4551975692059589, 3.4544601500247882, 3.4535530687174627, 3.4524822599332108, 3.4512530387922489, 3.4498696440796324, 3.448334751209206, 3.4466489673945127, 3.4448103181094321, 3.4428137310124995, 3.4406505210500358, 3.4383078784805008, 3.4357683601299254, 3.4330093833945012, 3.4300027224886844, 3.4267140073867668, 3.4231022280657291, 3.4191192503391785, 3.4147093551593124, 3.4098088212183075, 3.4043455815450985, 3.3982389991561384, 3.391399825260152, 3.3837304264622898, 3.3751253949008544, 3.3654726865284448, 3.3546554656827703, 3.3425548643389016, 3.3290538844139985, 3.3140426693623883, 3.2974253302416701, 3.2791284101431031, 3.2591108862857063, 3.2373753227578788, 3.2139793963624652, 3.1890465523114648, 3.1627740824214667, 3.1354365887265461, 3.1073827759673884, 3.0790239806081243, 3.0508138837871455, 3.0232203926132217, 2.996692409997606, 2.971625671845552, 2.948332512449737, 2.9270200156781754, 2.9077795679156853, 2.8905887619543744, 2.8753245248633701, 2.8617848231089877, 2.8497156452208041, 2.8388401655390449, 2.8288877944571231, 2.8196218569038174, 2.8108655632233837, 2.8025264701404589, 2.7946195677551757, 2.7872883046177463, 2.7808211530925036, 2.7756587435534219, 2.7723835856579537, 2.7716821765479001, 2.7742701879707208, 2.7807783969315749, 2.7916117372377558, 2.8068132669615657, 2.8259790325853684, 2.8482655530185985, 2.8725032085998921, 2.8973874830275825, 2.9216896273367978, 2.9444268565089642, 2.9649571622266357, 2.9829967105167481, 2.9985806831312636, 3.0119951807682699, 3.0237027702604871, 3.0342749346568425, 3.0443364066275871, 3.0545210850347448, 3.0654366681830094, 3.0776342163453871, 3.0915786583196434, 3.1076164272942246, 3.1259372669741654, 3.146529611100723, 3.1691335766031181, 3.1932022249188727, 3.217887913602921, 3.2420717988795902, 3.2644467926023784, 3.2836481147469856, 3.298408385391618, 3.3077060420527018, 3.3108811700887957, 3.3087601134346496, 3.3024982200725193, 3.2923922979629379, 3.2789134795785859, 3.2626720096808359, 3.2443698764066125, 3.2247458169932863, 3.2045196403983174, 3.1843435328503142, 3.1647664466709062, 3.1462144062970632, 3.1289859551207142, 3.1132593069690331, 3.0991066725221965, 3.0865115575566202, 3.0753859894433333, 3.0655859912849839, 3.0569247631984875, 3.049183776282764, 3.0421223529604671, 3.0354864030460522, 3.0290169254893469, 3.0224587585555018, 3.0155699100145013, 3.0081316285761925, 2.9999591680953932, 2.9909129205674794, 2.980909241688094, 2.9699298904334874, 2.9580286328819425, 2.9453333568674713, 2.9320421721232215, 2.9184125591959891, 2.9047436889675775, 2.8913533869522308, 2.8785525066112996, 2.8666202757319073, 2.8557841698574498, 2.8462069965715724, 2.8379824046070921, 2.8311384218446576, 2.8256473336272925, 2.821439516560809, 2.8184187782373842, 2.8164771621055245, 2.8155078188201812, 2.8154152016141309, 2.8161223719099877, 2.8175755464578081, 2.819746186671563, 2.8226309668900234, 2.8262499136876906, 2.830642931942295, 2.8358648643499569, 2.841979198112667, 2.8490505540959008, 2.8571361778214537, 2.8662767937326086, 2.8764873646076992, 2.8877484805268359, 2.8999992359887847, 2.9131324837879529, 2.9269932341699483, 2.9413806800843205, 2.9560538998083077, 2.9707407887680279, 2.9851493070906727, 2.998979805588307, 3.0119370875681155, 3.0237409997894895, 3.0341346871752735, 3.0428901151796959, 3.0498109724936819, 3.0547335462072835, 3.0575265835190311, 3.0580915381697382, 3.0563650080178895, 3.0523256926960505, 3.0460089299728539, 3.0375328504292374, 3.0271413005947925, 3.0152693775341346, 3.0026362075714084, 2.9903632509725044, 2.9800992350537183, 2.9740980134980721, 2.9751435190411089, 2.9861745162216273, 3.0095093129454389, 3.0458021475975134, 3.0932288732579849, 3.147547373463313, 3.2032309647278954, 3.2550869015978998, 3.299457358479239, 3.3345518039700526, 3.360096215107081, 3.3767360861658648, 3.3855117530117447, 3.3875189182665233, 3.3837397423107944, 3.3749901018486632, 3.3619337707091361, 3.3451309352378167, 3.3251021058427948, 3.3023957105290265, 3.2776493106165501, 3.2516327243125041, 3.2252594842843005, 3.1995547177705252, 3.1755758012202113, 3.1542969003166572, 3.1364844466396327, 3.1225987410191558, 3.1127505163281515, 3.1067221168078683, 3.1040408905340495, 3.1040785107210396, 3.1061488901753456, 3.1095859295560468, 3.1137938054835717, 3.1182715360731748, 3.1226182293095293, 3.1265263848833924, 3.1297694865707091, 3.1321882956263911, 3.1336785608501967, 3.134181616262429], [3.0497260102223667, 3.0468637323324774, 3.0384906628360722, 3.025223783169237, 3.0080112056123998, 2.9880177478140739, 2.9664833876959471, 2.944580032463604, 2.9232945570796325, 2.9033571444771362, 2.8852180892724135, 2.8690622424104975, 2.8548442181475884, 2.84232932474925, 2.8311309628196892, 2.8207409887290744, 2.8105534226809654, 2.7998840717839113, 2.787990270222199, 2.7740971811777957, 2.7574406723102798, 2.7373415013320215, 2.7133294504832453, 2.6853335186360359, 2.6539342745355605, 2.6206232848567748, 2.5879326260430426, 2.5592336768126187, 2.5380690618311696, 2.52715128541415, 2.5274898928345735, 2.5381452536777407, 2.5567166712704652, 2.580208825789791, 2.6058047448763895, 2.6312960754592352, 2.6551855406318232, 2.6765963109816728, 2.6951148275352947, 2.7106405553274389, 2.7232705635603258, 2.7332215706969962, 2.7407822408555318, 2.7462866563239832, 2.7501010665401004, 2.7526178196638722, 2.7542519483005012, 2.7554370635260983, 2.7566181505740137, 2.758239762557388, 2.7607291412166477, 2.7644750092619863, 2.76980407197011, 2.7769583709428618, 2.7860771970590865, 2.7971869963815674, 2.8102015187174545, 2.8249326081641164, 2.8411100291549261, 2.8584071436798726, 2.8764685229538247, 2.8949357882609186, 2.9134689163143705, 2.9317615247253839, 2.9495498856303568, 2.9666163403394217, 2.982788310347277, 2.9979342574477514, 3.0119578445828088, 3.0247913084882425, 3.0363887721878791, 3.0467199627921433, 3.0557645892651091, 3.0635074847942549, 3.0699345253556496, 3.0750292911361026, 3.0787704316273317, 3.0811297220150928, 3.0820708553811436, 3.0815491038203988, 3.0795121072689358, 3.0759022195029888, 3.070661063338251, 3.0637372201238606, 3.0550982774286561, 3.0447487078923503, 3.032755081390369, 3.0192795998339816, 3.0046213726123203, 2.9892615651766432, 2.9739030771683752, 2.9594882290945188, 2.9471717455530482, 2.9382268508897504, 2.9338766973356365, 2.9350740906076682, 2.9422890238094705, 2.9553816684639833, 2.9736165873511538, 2.9958167543807517, 3.0205979462680652, 3.0466014020024939, 3.072662556966923, 3.0978940775380672, 3.121695412868982, 3.1437162750994117, 3.1638006527166809, 3.1819297058580758, 3.1981730257792678, 3.2126513318855658, 3.2255101031828404, 3.2369021513905603, 3.2469768571004169, 3.2558740578346161, 3.2637210181117577, 3.2706313436902552, 3.2767050567010312, 3.2820293137019854, 3.2866794361294254, 3.2907200497901323, 3.2942062136103134, 3.2971844712462763, 3.2996937922831444, 3.3017663895805565, 3.3034284106119318, 3.3047005065374191, 3.305598285300023, 3.3061326555506034, 3.3063100675175647, 3.3062785020652674, 3.3061837502973264, 3.3060256457797688, 3.3058039104518078, 3.3055181536146923, 3.3051678705065939, 3.3047524404535604, 3.3042711245840324, 3.3037230630910384, 3.3031072720231154, 3.302422639581585, 3.3016679218981877, 3.3008417382630353, 3.2999425657692094, 3.2989687333349225, 3.2979184150605172, 3.296789622870941, 3.295580198389966, 3.2942878039850751, 3.2929099129157526, 3.2914437985106009, 3.2898865222898701, 3.2882349209423172, 3.2864855920549969, 3.2846348784844932, 3.2826788512472187, 3.2806132907943319, 3.27843366652412, 3.2761351143714963, 3.2737124123004091, 3.2711599535104692, 3.2684717171550925, 3.2656412363547913, 3.2626615632763607, 3.2595252310388458, 3.2562242121997302, 3.2527498735738725, 3.2490929271436975, 3.2452433768371649, 3.2411904609830713, 3.2369225903090588, 3.2324272814326398, 3.2276910859212697, 3.222699515178165, 3.2174369616638416, 3.2118866173142764, 3.2060303904965743, 3.199848823492498, 3.1933210133739007, 3.186424540297407, 3.1791354087885497, 3.1714280096140004, 3.1632751124919016, 3.1546479033282453, 3.1455160840878751, 3.1358480590338718, 3.1256112381386374, 3.11477249721192, 3.1032988448775991, 3.091158358984754, 3.0783214690953087, 3.0647626765654765, 3.0504628177895476, 3.0354119864152835, 3.0196132318188846, 3.0030871361793445, 2.9858773300740062, 2.968056921946387, 2.9497356726000277, 2.9310675248590705, 2.9122577905085572, 2.893568910112752, 2.8753232802769091, 2.8579012850810597, 2.8417325355246228, 2.8272786241710013, 2.8150066438158334, 2.8053543805770604, 2.7986902972804746, 2.7952736509658913, 2.7952215391890083, 2.798489548658083, 2.8048706169837621, 2.8140130926210674, 2.8254548828005439, 2.8386673698307665, 2.8531014384153295, 2.8682286835912914, 2.8835730835946705, 2.89873116743283, 2.9133811145204409, 2.9272828019407457, 2.9402714837899309, 2.952247742160802, 2.9631658853617164, 2.9730223513967289, 2.9818450826286593, 2.9896843608723627, 2.9966052552080353, 3.0026816243200369, 3.0079915025249533, 3.0126136534416124, 3.0166250717941856, 3.0200992331285903, 3.0231049205273322, 3.0257054889478932, 3.0279584573071165, 3.0299153438991531, 3.0316216815593688, 3.0331171653267468, 3.0344358977396908, 3.035606705988847, 3.0366535116200097, 3.0375957379416327, 3.0384487432766432, 3.0392242701398757, 3.0399309016670508, 3.0405745174318746, 3.0411587413586987, 3.0416853749024364, 3.0421548091117434, 3.0425664096637561, 3.0429188694809719, 3.0432105241133014, 3.0434396256841478, 3.043604571842379, 3.0437040868184599, 3.043737352340655, 3.0437040868184524, 3.0436045718423812, 3.0434396256841443, 3.0432105241132996, 3.0429188694809786, 3.0425664096637606, 3.042154809111751, 3.0416853749024395, 3.0411587413586942, 3.0405745174318755, 3.0399309016670548, 3.0392242701398851, 3.0384487432766467, 3.0375957379416354, 3.0366535116200088, 3.0356067059888461, 3.0344358977396917, 3.033117165326745, 3.0316216815593493, 3.0299153438991486, 3.0279584573071228, 3.0257054889478989, 3.023104920527333, 3.0200992331285827, 3.0166250717941727, 3.0126136534416146, 3.0079915025249644, 3.0026816243200112, 2.9966052552080309, 2.9896843608723431, 2.9818450826286456, 2.9730223513967311, 2.9631658853617227, 2.9522477421607793, 2.940271483789938, 2.9272828019407764, 2.9133811145204338, 2.8987311674328216, 2.8835730835946878, 2.868228683591302, 2.8531014384153242, 2.8386673698307758, 2.8254548828005319, 2.8140130926210505, 2.8048706169837732, 2.7984895486580763, 2.7952215391890145, 2.7952736509658864, 2.7986902972804768, 2.8053543805770431, 2.8150066438158219, 2.8272786241710159, 2.8417325355246339, 2.8579012850810419, 2.8753232802768967, 2.8935689101127688, 2.9122577905085705, 2.9310675248590785, 2.9497356726000401, 2.9680569219463941, 2.9858773300740213, 3.0030871361793436, 3.0196132318188824, 3.0354119864152782, 3.0504628177895592, 3.0647626765654645, 3.0783214690953127, 3.0911583589847726, 3.1032988448776022, 3.1147724972119053, 3.1256112381386352, 3.1358480590338726, 3.1455160840878627, 3.1546479033282355, 3.1632751124918905, 3.1714280096140097, 3.1791354087885502, 3.1864245402974101, 3.1933210133739078, 3.1998488234924989, 3.2060303904965695, 3.2118866173142848, 3.2174369616638487, 3.2226995151781694, 3.2276910859212724, 3.2324272814326349, 3.2369225903090557, 3.2411904609830771, 3.2452433768371725, 3.249092927143701, 3.252749873573868, 3.2562242121997338, 3.2595252310388503, 3.2626615632763638, 3.2656412363547878, 3.2684717171550925, 3.2711599535104741, 3.2737124123004118, 3.2761351143715025, 3.2784336665241223, 3.2806132907943315, 3.2826788512472218, 3.2846348784844923, 3.2864855920549942, 3.2882349209423176, 3.2898865222898701, 3.2914437985105862, 3.2929099129157531, 3.2942878039850609, 3.2955801983899633, 3.2967896228709384, 3.2979184150605194, 3.2989687333349185, 3.2999425657691885, 3.3008417382630348, 3.3016679218981779, 3.3024226395815859, 3.303107272023114, 3.3037230630910317, 3.3042711245840319, 3.3047524404535595, 3.305167870506585, 3.3055181536146976, 3.3058039104518051, 3.3060256457797621, 3.3061837502973206, 3.3062785020652634, 3.3063100675175803, 3.3062942863584963, 3.3062469339924139, 3.3061679837406022, 3.3060573910981925, 3.3059150936733399, 3.3057410111019263, 3.3055350449377006, 3.3052970785171354, 3.3050269767989158, 3.3047245861777395, 3.3043897342716386, 3.304022229682432, 3.3036218617285336, 3.3031884001496596, 3.3027215947822577, 3.3022211752049833, 3.3016868503532169, 3.3011183081016244, 3.3005152148132937, 3.2998772148547983, 3.2992039300749014, 3.2984949592464545, 3.2977498774691512, 3.2969682355316907, 3.2961495592316656, 3.2952933486507905, 3.2943990773840226, 3.2934661917194954, 3.2924941097676315, 3.2914822205364467, 3.2904298829503764, 3.2893364248097154, 3.2882011416876908, 3.287023295761863, 3.2858021145759637, 3.2845367897291982, 3.2832264754884233, 3.2818702873194501, 3.2804673003328384, 3.2790165476397384, 3.2775170186129929, 3.2759676570479375, 3.2743673592182083, 3.2727149718203568, 3.2710092898019099, 3.2692490540663734, 3.2674329490492577, 3.265559600158531, 3.2636275710728389, 3.2616353608908022, 3.259581401124509, 3.2574640525305778, 3.2552816017718413, 3.2530322579033433, 3.2507141486762339, 3.2483253166540917, 3.2458637151363012, 3.24332720388482, 3.2407135446508861, 3.238020396500747, 3.2352453109408152, 3.2323857268453073, 3.2294389651928577, 3.2264022236215366, 3.2232725708177719, 3.2200469407585866, 3.2167221268354544, 3.2132947758945889, 3.2097613822402176, 3.206118281658199, 3.2023616455327839, 3.1984874751463304, 3.1944915962723992, 3.1903696541975131, 3.1861171093358531, 3.181729233635906, 3.1772011080184344, 3.17252762113382, 3.167703469782488, 3.162723161408743, 3.1575810191550411, 3.1522711900535545, 3.1467876570363162, 3.1411242555642289, 3.1352746958145783, 3.1292325915224373, 3.122991496751589, 3.116544952070003, 3.1098865418295283, 3.103009964495373, 3.0959091182375564, 3.0885782042803731, 3.0810118507990119, 3.0732052604447557, 3.0651543848559686, 3.0568561297475201, 3.048308594335432, 3.0395113489044587, 3.0304657542076949, 3.0211753260280236, 3.0116461475454166, 3.0018873310316438, 2.9919115287147662, 2.9817354902779072, 2.9713806612378755, 2.9608738122485616, 2.9502476840814844, 2.93954162659975, 2.92880220250913, 2.9180837182433641, 2.9074486354352356, 2.8969678077310648, 2.8867204802391213, 2.8767939840245096, 2.8672830574434713, 2.8582887316084795, 2.8499167307152815, 2.8422753607781615, 2.8354728931133049, 2.8296144909562035, 2.824798776415566, 2.821114186099221, 2.818635310926922, 2.8174194514226034, 2.81750363669296, 2.8189023473690042, 2.8216061470964422, 2.8255813650232358, 2.8444593793546318, 2.8716013240759679, 2.9035950892427307, 2.937088197587888, 2.9694508310762209, 2.9990099449247203, 3.024956216729028, 3.0471070009481123, 3.0656619658768931, 3.0810132091127174, 3.0936201997328112, 3.1039374266203419, 3.1123779904990152, 3.1192990870272745, 3.1249996379405043, 3.1297240093090806, 3.1336683278626367, 3.1369875210930749, 3.139802151075803, 3.1422046328242978, 3.1442646987514493, 3.146034101361761, 3.1475506022931428, 3.1488413147258751, 3.1499254683959235, 3.1508166624634364, 3.1515246661583594, 3.1520568223037144, 3.1524191048611301, 3.1526168782943764, 3.1526554034041316, 3.1525401310283958, 3.1522768214646439, 3.1518715236362778, 3.1513304439862697, 3.1506597309779369, 3.1498651970621481, 3.1489519961553984, 3.1479242711471849, 3.1467847827590485, 3.1455345282246956, 3.1441723557360199, 3.1426945783945506, 3.1410945895077353, 3.1393624794890593, 3.1374846533894023, 3.1354434472673001, 3.1332167412862284, 3.1307775677316299, 3.1280937132257551, 3.1251273164869153, 3.121834466286761, 3.1181648091258607, 3.1140611829795501, 3.1094593027491553, 3.1042875353566384, 3.0984668183367439, 3.0919107958333125, 3.0845262703425318, 3.0762140969982315, 3.0668706781520392, 3.0563902460336858, 3.0446681440584986, 3.0316053225288297, 3.0171142368025179, 3.0011262553029372, 2.9836005279103679, 2.9645340117381447, 2.9439719933791748, 2.9220180050411879, 2.8988415730166008, 2.8746818844485227, 2.8498453857100201, 2.8246957145682323, 2.7996353301133463, 2.7750796851538726, 2.7514265038426529, 2.7290242056449103, 2.7081442366252682, 2.6889616975443165, 2.6715472312771822, 2.6558710729753026, 2.6418181121793709, 2.6292113438582687, 2.6178404904793195, 2.6074928062616802, 2.5979838096774523, 2.5891865011882054, 2.5810581012460787, 2.5736631760053377, 2.5671910311896711, 2.5619634876186472, 2.5584270224645751, 2.5571218029641618, 2.5586211267271186, 2.5634402943153813, 2.5719249075974284, 2.5841425536681046, 2.5998117581960107, 2.618299070421414, 2.6386954568646264, 2.6599542539575829, 2.6810504878880663, 2.7011178990561975, 2.7195351880114247, 2.735955508957606, 2.7502907821113642, 2.7626694977320567, 2.7733850113936742, 2.7828455483746315, 2.7915311824469997, 2.7999588191179141, 2.808653923868329, 2.8181268092675547, 2.8288509797444803, 2.8412407614735109, 2.8556250320288683, 2.8722136579796538, 2.891054188596677, 2.9119797259119222, 2.9345554837662902, 2.9580402111391439, 2.9813851534337439, 3.0032913021315526, 3.022331553371747, 3.0371220727766559, 3.0465082708543747, 3.0497260102223667, 3.0475757983109681, 3.0412443593173846, 3.0310780221045053, 3.0176173555823924, 3.001545735913393, 2.9836253656437104, 2.964629510438888, 2.9452808618174586, 2.9262044277548389, 2.9078995167472454, 2.8907307253645116, 2.8749341060635856, 2.8606329017553112, 2.8478573779851044, 2.8365646572349137, 2.8266562092396827, 2.8179921602278175, 2.8104025839715705, 2.803696429554507, 2.797668861273547, 2.7921076980469923, 2.786799473172084, 2.7815354685765001, 2.7761179416609916, 2.7703666544450085, 2.7641257123329961, 2.7572705968242723, 2.7497151132689788, 2.7414177692357056, 2.7323868753985767, 2.7226834738808696, 2.7124211292751195, 2.7017617521562403, 2.6909070228120329, 2.680085633614909, 2.6695373633358264, 2.659495737189105, 2.6501714809997199, 2.6417389727960128, 2.6343273958678761, 2.6280174343137497, 2.6228433711830359, 2.6187996121603372, 2.6158501450919744, 2.6139393093111498, 2.6130024242594434, 2.6129751862050297, 2.6138011517641031, 2.6154369891912537, 2.6178554436478993, 2.62104612442702, 2.6250143017843079, 2.629777932265092, 2.6353631483955779, 2.6417984785408168, 2.6491081215266132, 2.6573046903778419, 2.6663819474742505, 2.6763081529707198, 2.6870207033985816, 2.6984227109191981, 2.7103820395653111, 2.7227330698465444, 2.735281134758663, 2.7478092148480284, 2.7600861700372303, 2.7718755895970841, 2.7829443020967051, 2.7930697100329009, 2.8020453683045088, 2.8096845581307446, 2.8158219623808032, 2.8203138856079244, 2.8230377734716283, 2.8238920980001185, 2.8227980478463874, 2.8197049860022969, 2.8146024182845388, 2.8075423451387413, 2.7986773267162737, 2.7883210012599915, 2.777037879850468, 2.7657647896491584, 2.7559509223604515, 2.7496676954151136, 2.7495790688886137, 2.7586029977397906, 2.7791266135156238, 2.8118928919242689, 2.8551191089599914, 2.904595457113528, 2.9549567233949952, 3.0013871220579187, 3.0407477927207487, 3.0717440875101434, 3.0944499992374324, 3.1096802895704543, 3.1185004690952862, 3.1219401903590223, 3.1208662289986959, 3.1159517531776864, 3.1076945378020402, 3.0964569693225488, 3.082515069812048, 3.066111625489135, 3.0475113928541964, 3.0270556704974831, 3.0052103055682418, 2.9825967940479088, 2.9599929357207011, 2.9382910088988492, 2.9184106114559252, 2.9011794704897071, 2.8872119777384655, 2.8768216773341426, 2.8699940196817297, 2.8664233798379493, 2.8655960184257783, 2.8668896817985741, 2.8696634724239627, 2.8733228660285035, 2.8773566492374743, 2.8813504090754765, 2.884984247094672, 2.8880220861405461, 2.8902981425462397, 2.8917041482358345, 2.8921793327766818], [2.784931322257735, 2.7820595908717149, 2.7736888565290294, 2.7605170053779111, 2.743593686929636, 2.7241688633256329, 2.7035211139670006, 2.6828025442554821, 2.6629310033573663, 2.6445419711371274, 2.6279921488346365, 2.6133948898799426, 2.600667097251089, 2.5895738946196931, 2.5797652231388577, 2.5708038873842334, 2.5621869394634542, 2.5533628359367326, 2.5437469604445586, 2.5327388485851197, 2.5197462221825133, 2.5042237556756124, 2.4857378253055842, 2.4640705811240595, 2.4393732656159082, 2.4123618383500744, 2.3845081794230079, 2.3581183240403925, 2.3361408715715508, 2.3215960970805605, 2.3167248281554884, 2.3222301052524412, 2.3370469645384544, 2.35877219414103, 2.3844667025348518, 2.411395416392272, 2.4374477956338185, 2.4612356321030675, 2.4819954845404806, 2.4994238909725421, 2.5135219216236955, 2.5244781716065554, 2.5325922949871416, 2.5382305864732366, 2.5418031611705314, 2.5437535820398494, 2.5445537384025605, 2.5446985281837313, 2.5446964160733367, 2.5450534945494168, 2.5462505082034941, 2.54871443479374, 2.5527883390203252, 2.5587047279505071, 2.5665678872969773, 2.5763493226111822, 2.5878977268255521, 2.6009616964853994, 2.6152208073598149, 2.6303194418010305, 2.6458981219910704, 2.6616186295961111, 2.6771811696274157, 2.6923336117519034, 2.7068740415604555, 2.7206484058269593, 2.7335450702095185, 2.7454878300682477, 2.756428512033859, 2.7663399037237983, 2.7752094182228588, 2.7830336596101004, 2.7898139004101479, 2.7955523945473906, 2.8002494115681658, 2.8039008739563305, 2.806496498459869, 2.8080183786354631, 2.8084399981789083, 2.8077257363197248, 2.8058310252166745, 2.8027034567789633, 2.7982853282496558, 2.7925183790277726, 2.7853518161556678, 2.7767551391013092, 2.7667376804692108, 2.7553769710808065, 2.742857569287001, 2.7295200636247294, 2.7159154144448543, 2.7028516060294736, 2.6914082487788331, 2.6828849646249537, 2.6786520012428419, 2.6799001317166855, 2.6873433711395176, 2.7009845787968239, 2.7200593028702738, 2.743199911239222, 2.7687516177747682, 2.7951066067927268, 2.8209428999716657, 2.8453271466779166, 2.8677050660589787, 2.8878294784365455, 2.905670285952819, 2.9213329836137913, 2.9349961806859395, 2.9468688120142579, 2.9571634633520696, 2.9660813055524593, 2.9738046962181803, 2.9804944974601661, 2.986290092761485, 2.991310810237207, 2.9956579667366743, 2.9994170801934374, 3.0026600061203235, 3.0054468795119691, 3.0078278157212321, 3.0098443634604641, 3.0115307230819277, 3.012914751929197, 3.0140187808231373, 3.0148602646221985, 3.0154522869913221, 3.0158039359794651, 3.0159205632417101, 3.0158988774924529, 3.0158337754872093, 3.0157251227585737, 3.0155726945425183, 3.0153761747951693, 3.0151351548049803, 3.0148491313886088, 3.0145175046555739, 3.014139575322746, 3.0137145415559727, 3.0132414953118345, 3.0127194181479817, 3.0121471764653984, 3.0115235161409304, 3.0108470565017802, 3.01011628358799, 3.0093295426406921, 3.0084850297468666, 3.0075807825615879, 3.0066146700191672, 3.0055843809336578, 3.0044874113760942, 3.0033210507028336, 3.0020823660932705, 3.0007681854380248, 2.9993750783995261, 2.9978993354452506, 2.9963369446298245, 2.994683565875746, 2.9929345024730423, 2.9910846694856108, 2.9891285587166401, 2.9870601998471455, 2.984873117319903, 2.9825602824977224, 2.9801140605789289, 2.9775261517073019, 2.9747875256688285, 2.9718883495275237, 2.9688179075205441, 2.9655645125160057, 2.962115408342874, 2.9584566623437851, 2.9545730475958143, 2.9504479144136333, 2.9460630510272043, 2.9413985337555753, 2.9364325676388683, 2.9311413194233538, 2.925498746125319, 2.9194764242729541, 2.9130433875264603, 2.9061659839490854, 2.8988077690529863, 2.8909294572584274, 2.8824889630431847, 2.8734415743504242, 2.8637403153214693, 2.8533365736214669, 2.8421810897894608, 2.8302254318940792, 2.8174241069878296, 2.8037374882749933, 2.7891357574241908, 2.7736040645208622, 2.7571490771417158, 2.7398070010214255, 2.7216529769496187, 2.7028114583771012, 2.6834667266678176, 2.6638721105911474, 2.6443558095533679, 2.6253206390317554, 2.6072347993533653, 2.5906112727091815, 2.5759749892914914, 2.5638195179518268, 2.5545582812152188, 2.5484781606685076, 2.5457045592108472, 2.5461855771415882, 2.5496989889620556, 2.5558804135293043, 2.5642663550260045, 2.5743432653900458, 2.5855939912791297, 2.5975353172679307, 2.6097435646379892, 2.6218681704504823, 2.6336351676229723, 2.6448433813813494, 2.655356185453158, 2.6650911841324705, 2.6740095240714865, 2.682105902530548, 2.6893998285096927, 2.6959283347746283, 2.701740115750646, 2.706890946329807, 2.7114401868105698, 2.7154481723284469, 2.7189743015991286, 2.7220756666546686, 2.7248060947135739, 2.7272155011272807, 2.7293494764935722, 2.7312490508639442, 2.7329505935719896, 2.7344858190079799, 2.7358818772354052, 2.737161514286758, 2.7383432908520744, 2.7394418503912594, 2.7404682288943309, 2.7414301989534229, 2.7423326407960369, 2.7431779326999535, 2.7439663529438092, 2.7446964852687636, 2.7453656198103138, 2.7459701416404423, 2.7465058994399141, 2.7469685473776617, 2.7473538539705427, 2.7476579724912247, 2.7478776683410548, 2.7480104996733097, 2.7480549484145897, 2.748010499673303, 2.7478776683410548, 2.747657972491222, 2.7473538539705396, 2.7469685473776666, 2.7465058994399176, 2.7459701416404494, 2.7453656198103182, 2.7446964852687614, 2.7439663529438114, 2.743177932699957, 2.7423326407960453, 2.7414301989534238, 2.7404682288943349, 2.7394418503912581, 2.7383432908520726, 2.7371615142867576, 2.7358818772354034, 2.7344858190079635, 2.7329505935719869, 2.7312490508639486, 2.7293494764935757, 2.7272155011272812, 2.7248060947135686, 2.7220756666546557, 2.7189743015991299, 2.7154481723284563, 2.7114401868105475, 2.7068909463298034, 2.7017401157506309, 2.6959283347746177, 2.6893998285096954, 2.6821059025305529, 2.6740095240714679, 2.6650911841324754, 2.6553561854531829, 2.6448433813813441, 2.6336351676229661, 2.6218681704504982, 2.6097435646379976, 2.5975353172679267, 2.5855939912791368, 2.5743432653900351, 2.5642663550259903, 2.5558804135293118, 2.5496989889620494, 2.5461855771415953, 2.5457045592108427, 2.5484781606685076, 2.5545582812152037, 2.5638195179518171, 2.5759749892915047, 2.5906112727091917, 2.6072347993533462, 2.6253206390317438, 2.6443558095533812, 2.6638721105911647, 2.6834667266678296, 2.7028114583771141, 2.7216529769496263, 2.7398070010214406, 2.7571490771417149, 2.7736040645208595, 2.7891357574241891, 2.8037374882750017, 2.8174241069878203, 2.8302254318940805, 2.8421810897894755, 2.8533365736214695, 2.8637403153214569, 2.873441574350422, 2.8824889630431865, 2.8909294572584159, 2.8988077690529801, 2.9061659839490752, 2.9130433875264679, 2.919476424272955, 2.9254987461253217, 2.9311413194233582, 2.9364325676388709, 2.9413985337555735, 2.9460630510272097, 2.9504479144136382, 2.9545730475958165, 2.9584566623437882, 2.9621154083428705, 2.9655645125160035, 2.9688179075205481, 2.9718883495275294, 2.9747875256688316, 2.9775261517073002, 2.9801140605789316, 2.9825602824977242, 2.9848731173199052, 2.9870601998471424, 2.989128558716641, 2.991084669485613, 2.9929345024730449, 2.9946835658757496, 2.9963369446298285, 2.9978993354452523, 2.9993750783995297, 3.0007681854380222, 3.0020823660932674, 3.0033210507028323, 3.0044874113760933, 3.0055843809336484, 3.0066146700191667, 3.0075807825615772, 3.0084850297468693, 3.009329542640689, 3.0101162835879927, 3.0108470565017775, 3.0115235161409162, 3.0121471764653975, 3.0127194181479733, 3.0132414953118354, 3.0137145415559714, 3.0141395753227425, 3.0145175046555734, 3.0148491313886074, 3.015135154804971, 3.0153761747951737, 3.0155726945425148, 3.0157251227585684, 3.0158337754872058, 3.0158988774924484, 3.0159205632417208, 3.015909721608705, 3.0158771892416434, 3.0158229437235597, 3.0157469476499106, 3.0156491485639569, 3.0155294788660045, 3.0153878556963738, 3.0152241807913933, 3.0150383403121173, 3.0148302046453517, 3.0145996281760334, 3.0143464490304468, 3.0140704887892262, 3.0137715521694708, 3.0134494266745939, 3.0131038822108795, 3.0127346706694373, 3.0123415254721824, 3.0119241610800396, 3.0114822724621204, 3.01101553452335, 3.0105236014892962, 3.0100061062454384, 3.0094626596287339, 3.0088928496690497, 3.0082962407773355, 3.0076723728781465, 3.007020760482614, 3.0063408916990446, 3.0056322271770695, 3.0048941989814528, 3.0041262093912002, 3.0033276296195144, 3.0024977984495407, 3.0016360207803512, 3.0007415660779451, 2.9998136667246644, 2.9988515162607245, 2.9978542675106183, 2.99682103058701, 2.9957508707640121, 2.9946428062109782, 2.9934958055779206, 2.9923087854223658, 2.9910806074674037, 2.9898100756794022, 2.9884959331537377, 2.9871368587957701, 2.9857314637835803, 2.9842782877983565, 2.9827757950073082, 2.9812223697835636, 2.9796163121462591, 2.9779558329038052, 2.976239048482201, 2.9744639754201101, 2.9726285245114594, 2.9707304945766597, 2.9687675658426942, 2.9667372929132267, 2.9646370973100589, 2.9624642595682511, 2.9602159108692723, 2.9578890241980638, 2.9554804050143293, 2.9529866814313035, 2.9504042939025132, 2.9477294844231454, 2.9449582852633198, 2.942086507261775, 2.9391097277242575, 2.9360232779895878, 2.9328222307497702, 2.9295013872396702, 2.9260552644470308, 2.9224780825371814, 2.918763752739217, 2.914905866004827, 2.9108976828276432, 2.9067321247042823, 2.9024017678291241, 2.8978988397477736, 2.893215219852042, 2.8883424447848833, 2.8832717200437314, 2.8779939393253144, 2.872499713452743, 2.8667794110655245, 2.8608232136415412, 2.8546211878555372, 2.8481633787599199, 2.8414399277959075, 2.83444122019282, 2.8271580668714908, 2.8195819265033122, 2.8117051738412697, 2.803521420769076, 2.7950258966181085, 2.786215894059612, 2.7770912861370927, 2.7676551185721459, 2.7579142791256155, 2.7478802422706168, 2.7375698824590211, 2.7270063425820341, 2.7162199356391321, 2.7052490470680488, 2.69414099280243, 2.6829527743944368, 2.6717516584016523, 2.6606154941887037, 2.6496326744519849, 2.638901638841411, 2.6285298261134811, 2.6186319973713479, 2.6093278845418695, 2.6007391652474059, 2.5929858262350689, 2.5861820480672191, 2.5804318161161048, 2.575824526576683, 2.5724308994859371, 2.570299522906049, 2.5694543264506229, 2.5698932171580617, 2.5715880124455022, 2.5744856862604628, 2.5785108226717588, 2.5963380062522603, 2.6202714883157583, 2.6470496500148948, 2.6739995877813674, 2.69933116329904, 2.7220800523225228, 2.7418943006829806, 2.7588068950414173, 2.7730573080732479, 2.7849727287092336, 2.7948978343795057, 2.8031577026788308, 2.810041067399375, 2.8157950936348395, 2.8206261751508439, 2.824703558901049, 2.8281640424633965, 2.8311168364509025, 2.833648157064661, 2.8358253664016342, 2.8377006058418566, 2.8393139280123254, 2.8406959582432103, 2.8418701251861371, 2.8428545018587621, 2.8436632974388694, 2.8443080386110564, 2.8447984777675757, 2.8451432638769658, 2.845350410172129, 2.8454275908094733, 2.8453822962476831, 2.845221874330321, 2.8449534810433228, 2.8445839618019124, 2.8441196810433103, 2.8435663149734109, 2.8429286196101975, 2.8422101838168912, 2.8414131748226374, 2.8405380817709998, 2.8395834610859514, 2.8385456858846081, 2.8374187002827225, 2.8361937782477011, 2.8348592856827333, 2.8334004437263292, 2.8317990908882029, 2.8300334416957305, 2.8280778400838829, 2.8259025069327914, 2.8234732830669773, 2.8207513718374173, 2.8176930893201471, 2.8142496354475761, 2.8103669063818817, 2.8059853775456869, 2.8010400983882677, 2.7954608545923434, 2.7891725712506852, 2.7820960513828674, 2.7741491670390257, 2.7652486428276291, 2.7553125895911958, 2.7442639517871719, 2.7320350148452275, 2.7185730633446936, 2.7038471693950434, 2.687855905864541, 2.6706355117117857, 2.6522676965958722, 2.6328859027588929, 2.6126785329538773, 2.5918875379383475, 2.5708009893876111, 2.5497389597820042, 2.5290331880848349, 2.5090024428819402, 2.4899268324435586, 2.4720251017481556, 2.4554388536701581, 2.440226576730391, 2.4263686455389406, 2.4137826070007788, 2.4023465981280956, 2.3919279551815267, 2.3824139384786012, 2.3737417131622651, 2.3659248821305874, 2.3590736232524425, 2.3534047415663455, 2.349237008035026, 2.3469668250645066, 2.34702077850188, 2.349786203855242, 2.3555286238846906, 2.3643136346953417, 2.3759559232111984, 2.3900147273075825, 2.4058420465943313, 2.4226723128769021, 2.4397289105704254, 2.4563204700087544, 2.4719080043052708, 2.4861367962248222, 2.4988377920348479, 2.5100086733376905, 2.5197850407020441, 2.5284094657455851, 2.5362027740376969, 2.543539144684638, 2.5508248907485291, 2.558479995947474, 2.5669212607052576, 2.5765458276576045, 2.5877135348470768, 2.6007257807105564, 2.6157975539243394, 2.6330187841416706, 2.6523027235430625, 2.6733244370437159, 2.6954622210607084, 2.7177660717887417, 2.738982980963522, 2.757660434779027, 2.772325088744156, 2.7817033397856799, 2.784931322257735, 2.7827735324685965, 2.7764370012224608, 2.7663159059249129, 2.7530151813208157, 2.7372809487448126, 2.7199194397635642, 2.701718100264733, 2.6833813703968277, 2.6654890474226942, 2.6484788652829501, 2.6326494002375056, 2.6181763589949401, 2.6051350122410843, 2.5935231481455356, 2.5832812254352753, 2.5743084690221285, 2.5664750372843552, 2.5596310715706618, 2.5536135984964563, 2.5482521229728241, 2.5433735098631618, 2.5388065192465787, 2.5343861856348067, 2.5299581224905423, 2.5253827734077019, 2.520539594925284, 2.5153311189845091, 2.5096867884579392, 2.503566380457805, 2.4969627352735264, 2.4899034130898765, 2.4824508373639347, 2.4747004909996764, 2.4667768440305702, 2.4588269261726929, 2.4510117980449526, 2.4434965635751973, 2.4364399111405728, 2.4299843704735045, 2.4242484508343298, 2.419321566945468, 2.4152622172202634, 2.4120993625064031, 2.4098364867450588, 2.4084575003645079, 2.40793351570046, 2.4082295677209236, 2.4093105207395022, 2.4111456278720009, 2.4137114393671917, 2.4169929543649009, 2.4209830661326426, 2.4256804678767443, 2.4310862771309996, 2.437199713532368, 2.4440132333763116, 2.4515075815628617, 2.4596472556433673, 2.4683768708732652, 2.4776188537704504, 2.4872727672354462, 2.4972163894710357, 2.5073084545420441, 2.5173927498906856, 2.5273030950605793, 2.5368686291291027, 2.5459188288401955, 2.5542877623302149, 2.5618172349054746, 2.568358675238946, 2.5737738164119124, 2.5779344322605895, 2.5807216006477813, 2.5820252109142268, 2.581744770343704, 2.5797930836874503, 2.5761052040865167, 2.5706563255414463, 2.5634940952969574, 2.5547929714314952, 2.5449396450629838, 2.5346559016978563, 2.525151105788793, 2.5182582600137557, 2.516436355130498, 2.5224452239388877, 2.5385339998791174, 2.5652990695757056, 2.6008822104773701, 2.6412867557353379, 2.6818034033421068, 2.7185825075871035, 2.7494210017925456, 2.7736555641014426, 2.7916221199748286, 2.8041162956374532, 2.8120326105672455, 2.8161802032455765, 2.8172148503711982, 2.8156321301746257, 2.811787057143269, 2.8059225588998298, 2.7981996036573444, 2.7887272409365198, 2.7775932542620483, 2.7648967508675817, 2.7507833029667133, 2.7354812402850697, 2.7193343822343286, 2.7028224488173334, 2.6865573248561345, 2.6712442512942904, 2.6576047764651309, 2.6462727379031676, 2.6376897988289283, 2.6320332974865557, 2.6291998077047691, 2.628846488976182, 2.6304713305035765, 2.6335040071795941, 2.6373833564435345, 2.6416092514096166, 2.6457680788333962, 2.6495378397092546, 2.6526808683829697, 2.6550311476512745, 2.6564811080708748, 2.6569708243102559], [2.5290994876318531, 2.5261482289049666, 2.5175853829840293, 2.504230611443647, 2.4872850843573873, 2.4681258623509006, 2.448094289877945, 2.4283299952288164, 2.4096803982979571, 2.3926845680340487, 2.377607477317127, 2.3644951981925435, 2.3532295012699582, 2.3435721187007292, 2.3351976146251996, 2.3277175607969882, 2.3206990303029569, 2.3136794931739857, 2.3061795138979351, 2.2977148052500573, 2.2878102364321169, 2.2760202012386062, 2.2619621480848329, 2.245372616290072, 2.226196459176228, 2.2047166951591093, 2.1817181931429266, 2.1586450935513013, 2.1376588791789102, 2.1214587450759534, 2.1127589075049591, 2.1134974236434059, 2.1241136667026432, 2.1433232262836004, 2.1685502596698858, 2.1967486923766164, 2.2251620220838597, 2.2517425481066535, 2.2752250498851079, 2.2949969372119972, 2.3109071271711419, 2.3230959096413475, 2.3318738685221643, 2.3376482593706549, 2.3408845438689019, 2.3420895393967642, 2.3418046265150529, 2.3405999678763298, 2.3390631360884391, 2.3377782191989818, 2.3372947398244226, 2.3380894967051082, 2.3405279211900383, 2.3448334421320833, 2.3510725633820653, 2.3591597779102718, 2.3688813096163948, 2.3799320239451314, 2.3919574076440506, 2.4045928284316953, 2.4174946417618361, 2.4303607990763472, 2.4429412700910857, 2.4550402346261673, 2.4665126037442002, 2.4772572912163442, 2.4872091386849671, 2.4963307865643789, 2.5046052426441077, 2.5120294959845544, 2.5186092575458896, 2.52435475528263, 2.5292774375845153, 2.5333874161943588, 2.5366914867747647, 2.5391915882924025, 2.5408835936728345, 2.5417563608298739, 2.541791016004209, 2.5409604944688926, 2.5392294346745041, 2.5365546226309337, 2.5328863308495144, 2.528171113658892, 2.5223569362264064, 2.5154019540811539, 2.5072888254719321, 2.4980470557518215, 2.4877862776042354, 2.4767429111429928, 2.4653400146633726, 2.4542532448921999, 2.4444625668049831, 2.4372504497824412, 2.4340923650821065, 2.4363977017807419, 2.4451249109036568, 2.4604037395870666, 2.4813676392827366, 2.5063280028081576, 2.5332237296974536, 2.5601202243212784, 2.5855467130201335, 2.6086024661122442, 2.6288897415104651, 2.6463714285343851, 2.6612271875097653, 2.6737421042179648, 2.6842336388698733, 2.6930098377138281, 2.7003489320182203, 2.7064919276034272, 2.7116423029435399, 2.7159691373352044, 2.7196115550797808, 2.7226833651023816, 2.7252773607811775, 2.7274690688626522, 2.7293199043678875, 2.7308797678988235, 2.732189153383711, 2.7332808414319589, 2.7341812490308341, 2.7349114971875612, 2.7354882477741249, 2.735924350887561, 2.7362293351327116, 2.7364097655054311, 2.7364694869025974, 2.736457046088268, 2.7364196924911268, 2.7363573324839949, 2.7362698094706679, 2.7361569030537631, 2.7360183278580017, 2.7358537319969614, 2.7356626951677354, 2.7354447263538915, 2.7351992611129097, 2.7349256584197459, 2.7346231970330268, 2.7342910713448796, 2.7339283866693167, 2.7335341539169749, 2.7331072835966843, 2.7326465790750532, 2.7321507290161948, 2.7316182989118603, 2.7310477216000311, 2.730437286655623, 2.7297851285201493, 2.7290892132189066, 2.7283473234925366, 2.7275570421451425, 2.7267157333832226, 2.7258205218872638, 2.7248682693206958, 2.7238555479386517, 2.7227786109101881, 2.7216333589117694, 2.7204153024860802, 2.7191195195875153, 2.7177406076523543, 2.7162726294378934, 2.7147090517680175, 2.7130426762036182, 2.7112655605231408, 2.7093689297524786, 2.707343075324887, 2.7051772407839194, 2.7028594922703797, 2.7003765718669333, 2.6977137317258415, 2.6948545467980773, 2.6917807039498087, 2.6884717653450063, 2.6849049042636239, 2.6810546121209433, 2.6768923765060162, 2.6723863317836547, 2.6675008865061094, 2.6621963359778715, 2.6564284743802067, 2.6501482296562613, 2.6433013568784456, 2.6358282433232225, 2.6276639024608777, 2.6187382661667389, 2.6089769261691789, 2.5983025278321277, 2.5866370807495822, 2.5739055165027751, 2.5600408828175354, 2.544991593001487, 2.5287311120828733, 2.5112702993437011, 2.4926722659486362, 2.47306896754076, 2.452677789973674, 2.4318151580094103, 2.4109029498896413, 2.3904627451625946, 2.3710933996733248, 2.3534298204039485, 2.3380852525247402, 2.3255849723960176, 2.3163039339378138, 2.3104221981438058, 2.3079085219780984, 2.3085351706669384, 2.3119187679353823, 2.3175761497778735, 2.3249826173234309, 2.3336223581583386, 2.3430252606075461, 2.352788812911883, 2.3625869465742229, 2.3721692094170699, 2.3813538593872554, 2.3900179063915767, 2.3980862836661236, 2.4055215126314788, 2.4123145781689446, 2.4184772847825471, 2.4240360914972734, 2.4290272792671868, 2.433493245379883, 2.4374797104853152, 2.4410336415804839, 2.4442017234426969, 2.4470292428619222, 2.4495592799908139, 2.451832127165074, 2.4538848770309212, 2.4557511388752258, 2.4574608551381649, 2.4590401997576805, 2.4605115468118175, 2.4618935024080923, 2.4632009953861078, 2.4644454235676552, 2.4656348523839662, 2.466774262066826, 2.4678658385095034, 2.4689093016412493, 2.4699022639292645, 2.4708406105869791, 2.4717188923389677, 2.4725307212297873, 2.4732691599787553, 2.4739270957479187, 2.4744975898499426, 2.4749741958021021, 2.4753512391539547, 2.4756240536055105, 2.4757891690293397, 2.4758444480733472, 2.4757891690293325, 2.4756240536055092, 2.4753512391539534, 2.4749741958021003, 2.4744975898499493, 2.47392709574792, 2.4732691599787624, 2.4725307212297918, 2.4717188923389672, 2.4708406105869809, 2.4699022639292676, 2.4689093016412542, 2.4678658385095034, 2.4667742620668283, 2.4656348523839666, 2.4644454235676552, 2.463200995386106, 2.4618935024080901, 2.4605115468118051, 2.4590401997576774, 2.4574608551381663, 2.4557511388752298, 2.4538848770309212, 2.4518321271650714, 2.4495592799908041, 2.4470292428619231, 2.4442017234427049, 2.4410336415804652, 2.4374797104853108, 2.4334932453798719, 2.4290272792671792, 2.4240360914972747, 2.4184772847825506, 2.4123145781689295, 2.4055215126314815, 2.3980862836661427, 2.3900179063915719, 2.3813538593872501, 2.3721692094170841, 2.3625869465742295, 2.3527888129118804, 2.3430252606075515, 2.3336223581583289, 2.324982617323418, 2.3175761497778797, 2.3119187679353752, 2.3085351706669459, 2.3079085219780948, 2.3104221981438036, 2.3163039339378009, 2.3255849723960091, 2.3380852525247544, 2.3534298204039592, 2.3710933996733017, 2.3904627451625817, 2.4109029498896537, 2.4318151580094334, 2.4526777899736905, 2.4730689675407711, 2.4926722659486433, 2.5112702993437157, 2.5287311120828737, 2.5449915930014839, 2.5600408828175354, 2.5739055165027818, 2.5866370807495755, 2.598302527832129, 2.6089769261691922, 2.6187382661667429, 2.6276639024608675, 2.6358282433232199, 2.6433013568784447, 2.6501482296562529, 2.6564284743802018, 2.6621963359778653, 2.6675008865061165, 2.6723863317836551, 2.6768923765060197, 2.6810546121209455, 2.6849049042636262, 2.6884717653450054, 2.6917807039498132, 2.6948545467980791, 2.6977137317258446, 2.7003765718669364, 2.702859492270377, 2.7051772407839154, 2.707343075324891, 2.7093689297524817, 2.7112655605231417, 2.7130426762036173, 2.7147090517680188, 2.7162726294378925, 2.7177406076523547, 2.7191195195875149, 2.7204153024860802, 2.7216333589117689, 2.7227786109101908, 2.723855547938653, 2.724868269320698, 2.7258205218872646, 2.7267157333832275, 2.7275570421451389, 2.7283473234925335, 2.7290892132189049, 2.7297851285201467, 2.7304372866556164, 2.7310477216000297, 2.7316182989118545, 2.732150729016197, 2.7326465790750518, 2.7331072835966852, 2.7335341539169735, 2.733928386669306, 2.7342910713448778, 2.7346231970330224, 2.7349256584197463, 2.7351992611129097, 2.7354447263538875, 2.735662695167735, 2.7358537319969591, 2.7360183278579973, 2.7361569030537649, 2.736269809470667, 2.7363573324839909, 2.7364196924911255, 2.7364570460882622, 2.7364694869026036, 2.7364632673451728, 2.7364446033020893, 2.736413478649093, 2.736369866472959, 2.7363137290120374, 2.7362450175727169, 2.7361636724215699, 2.7360696226525008, 2.7359627860285047, 2.7358430687975197, 2.7357103654813826, 2.7355645586372157, 2.7354055185901385, 2.735233103136395, 2.7350471572154618, 2.7348475125498597, 2.7346339872511898, 2.7344063853907503, 2.7341644965327183, 2.7339080952282502, 2.7336369404677989, 2.7333507750898285, 2.7330493251428489, 2.7327322991981489, 2.7323993876101489, 2.7320502617207709, 2.7316845730045873, 2.7313019521502344, 2.7309020080742403, 2.7304843268623094, 2.7300484706330521, 2.729593976318538, 2.7291203543558287, 2.7286270872828982, 2.7281136282316578, 2.7275793993108124, 2.7270237898698548, 2.7264461546353331, 2.7258458117094375, 2.7252220404203809, 2.7245740790129465, 2.7239011221664935, 2.723202318327048, 2.7224767668384291, 2.7217235148565333, 2.7209415540291997, 2.7201298169228698, 2.7192871731755757, 2.7184124253539665, 2.7175043044904417, 2.716561465274304, 2.7155824808689646, 2.7145658373246668, 2.7135099275541839, 2.7124130448360515, 2.7112733758076217, 2.7100889929071035, 2.7088578462213162, 2.7075777546925273, 2.7062463966352639, 2.7048612995108821, 2.7034198289049076, 2.7019191766499806, 2.7003563480345441, 2.6987281480366465, 2.6970311665204489, 2.6952617623343715, 2.693416046250535, 2.6914898626896071, 2.6894787701806666, 2.6873780205153266, 2.6851825365688256, 2.6828868887792194, 2.6804852703014284, 2.6779714708863165, 2.675338849579278, 2.672580306389635, 2.6696882531557411, 2.6666545839234077, 2.6634706452730788, 2.6601272071782489, 2.6566144351611363, 2.6529218647389818, 2.649038379433053, 2.6449521939545004, 2.640650844594469, 2.6361211893452996, 2.6313494208739123, 2.6263210961717469, 2.6210211875261606, 2.6154341604015241, 2.609544084884587, 2.6033347885241116, 2.5967900596511222, 2.5898939115497539, 2.5826309190701573, 2.5749866403005934, 2.5669481365495344, 2.5585046038596362, 2.5496481282231493, 2.5403745741370178, 2.5306846115704227, 2.5205848791962269, 2.5100892712147331, 2.4992203207129782, 2.4880106339294383, 2.476504307167442, 2.4647582322975468, 2.4528431697377755, 2.4408444427514144, 2.428862088551385, 2.4170102960067998, 2.4054159732918818, 2.3942163275859678, 2.3835554065532656, 2.373579647022364, 2.3644325930841759, 2.3562490698153185, 2.3491492101918494, 2.3432328089778567, 2.3385744983548302, 2.3352201938392154, 2.3331851463169464, 2.3324537716327352, 2.3329812395414282, 2.3346966209108682, 2.3375072456113832, 2.3413038341859083, 2.3573806243534809, 2.3778870443467621, 2.3999354546604756, 2.4214967902967612, 2.4413910563653234, 2.45908197593337, 2.4744466998587966, 2.4875938326778817, 2.4987420633039861, 2.5081477158682102, 2.5160653903584915, 2.5227288393974829, 2.5283433699424465, 2.5330844028156498, 2.5370990799268562, 2.5405092003552725, 2.5434145774969052, 2.5458963632231408, 2.5480201297009857, 2.5498386263902271, 2.5513941923751617, 2.5527208331449529, 2.5538459830969358, 2.5547919794033831, 2.5555772739908948, 2.5562174103115587, 2.5567257911300629, 2.5571142629004404, 2.5573935414203972, 2.5575735022583475, 2.5576633579252515, 2.5576717419506503, 2.5576067180115905, 2.5574757301649971, 2.5572855081547128, 2.5570419397862616, 2.556749920533627, 2.556413188878242, 2.5560341543692693, 2.5556137240057075, 2.5551511312422415, 2.5546437706797938, 2.554087040307305, 2.5534741920149671, 2.5527961900307488, 2.552041575986268, 2.5511963385578005, 2.550243785121562, 2.549164412681884, 2.5479357755421352, 2.546532347855095, 2.5449253803730381, 2.543082752486669, 2.5409688230882943, 2.5385442870435693, 2.5357660482901867, 2.5325871260417312, 2.5289566175663518, 2.5248197498751122, 2.5201180637203553, 2.5147897867733611, 2.5087704686138732, 2.5019939675230662, 2.4943938963013159, 2.4859056481296213, 2.4764691282964422, 2.4660323049576895, 2.4545556503492807, 2.4420174588731469, 2.4284198860707895, 2.4137953439215396, 2.3982126187569874, 2.3817817801166012, 2.3646566908516369, 2.347033818718312, 2.3291462176287481, 2.3112521000237365, 2.2936183776191128, 2.2765007692375767, 2.2601232566737832, 2.2446604145059674, 2.2302261143770075, 2.2168712100119579, 2.2045912570554966, 2.1933435474565011, 2.1830711946794419, 2.173730955714297, 2.1653209047162494, 2.1579037743630489, 2.1516215622381836, 2.1466969169916794, 2.1434173240204761, 2.1420999748200971, 2.1430390979044756, 2.1464432679491732, 2.1523760684959208, 2.1607163678044645, 2.1711515201640275, 2.1832077825609852, 2.1963106251939575, 2.2098588932585548, 2.2232948252841225, 2.2361566210364634, 2.248108152071822, 2.2589475358787041, 2.2686003641798003, 2.277104240479098, 2.2845900548581635, 2.2912634145977098, 2.2973877706743409, 2.3032694524904915, 2.3092441162609973, 2.3156639111016433, 2.3228847647036166, 2.3312533163605029, 2.3410928531733806, 2.3526868205390792, 2.3662569692680413, 2.3819314139936858, 2.3996972288019287, 2.4193351906348233, 2.4403435126070732, 2.4618728990646113, 2.4827107700969524, 2.5013551159880167, 2.5161964259565646, 2.5257826391007616, 2.5290994876318531, 2.5268813167618474, 2.5203904293594377, 2.5100933853307392, 2.4966919434324977, 2.4810264650718503, 2.463970926706776, 2.4463403032162647, 2.4288253447027159, 2.4119603233342861, 2.396120155330288, 2.381537656662382, 2.368330496147633, 2.3565294852512384, 2.3461032189757143, 2.3369771763695177, 2.3290474586895211, 2.3221903353777078, 2.3162689754866048, 2.3111385226460506, 2.3066503055415692, 2.3026556307721018, 2.2990093533428051, 2.2955732724595075, 2.2922193354813527, 2.2888326191041068, 2.2853140641442828, 2.2815829462470849, 2.2775790560596532, 2.2732645340914437, 2.2686252603633705, 2.2636716462719466, 2.2584386305505961, 2.2529846611273676, 2.2473894687922549, 2.2417505208808879, 2.2361781864492354, 2.2307898344909169, 2.2257032905152982, 2.2210302468573166, 2.2168703088177524, 2.2133063268014759, 2.2104015074854027, 2.2081985424429269, 2.2067206954796847, 2.2059745148677217, 2.2059536379381246, 2.2066430623458322, 2.2080232711452514, 2.2100736954668014, 2.212775146215578, 2.2161110127951575, 2.2200671884521084, 2.2246308244748358, 2.2297881329236207, 2.2355215472363574, 2.241806609376225, 2.2486089768896211, 2.2558819280758451, 2.2635646849375366, 2.2715817734085917, 2.2798435080810862, 2.2882475418069199, 2.2966812818964311, 2.3050248670029947, 2.3131543393089222, 2.3209446425245859, 2.3282721236626109, 2.3350163030998896, 2.3410607870011884, 2.3462933150476979, 2.3506050590078962, 2.3538894215111479, 2.3560407550087912, 2.3569536786698211, 2.3565241012936609, 2.3546537958503593, 2.3512616099132813, 2.3463063631909424, 2.339829277226428, 2.3320268211971942, 2.3233654224503049, 2.3147398028015105, 2.3076408277425902, 2.304218771534623, 2.3070239739779028, 2.3182183399512204, 2.3384111390395721, 2.3658877325637371, 2.3970595710296294, 2.4279530319371667, 2.4556015738110375, 2.4785349527297749, 2.4964973926411189, 2.5099193986435648, 2.5194883839469977, 2.5259011142189824, 2.52975589513487, 2.5315235836969365, 2.5315543939441949, 2.5300971696360222, 2.5273206298130337, 2.5233329067469956, 2.518198902265409, 2.5119563623161838, 2.504632080122787, 2.4962596949041709, 2.4869002134126439, 2.4766654776119221, 2.4657430603926604, 2.4544183385610547, 2.4430861534791415, 2.4322419738335976, 2.4224434625408926, 2.4142404837291531, 2.408084724723488, 2.4042436830892147, 2.4027483554004103, 2.4033935418877759, 2.4057886152851617, 2.40943760942484, 2.413821148385487, 2.4184596019920148, 2.4229494878342659, 2.4269757215990784, 2.4303074679831589, 2.4327858177685266, 2.4343096164983287, 2.4348234114349783], [2.2854004725328698, 2.2822905034269554, 2.2733270654437749, 2.2595231204559378, 2.2423086875575957, 2.2232370101126033, 2.2037209504528947, 2.1848677194392572, 2.1674272923012561, 2.1518243012905334, 2.1382270798681993, 2.1266178172682522, 2.1168473858205084, 2.1086734615465881, 2.101786949666328, 2.0958318770552729, 2.0904217040750126, 2.0851530301136378, 2.0796168454385473, 2.0734077300930398, 2.0661323313095594, 2.0574197818941253, 2.0469383746568512, 2.0344247875692663, 2.0197342330965924, 2.0029210129204666, 1.9843561657067235, 1.9648762998848812, 1.9459271828854299, 1.929614585378107, 1.9185262573575967, 1.9152118246743108, 1.9213825477516522, 1.9371749401513492, 1.9609439215414113, 1.9897704533180667, 2.0203804979070155, 2.0499594940941268, 2.076555629629131, 2.0990930281981082, 2.1171782988309467, 2.1308669816711592, 2.1404756992609615, 2.1464611686891808, 2.149355825326106, 2.1497408151813042, 2.1482378193259195, 2.1455045625585312, 2.1422227225056338, 2.1390714823412504, 2.1366857593532775, 2.1356048255608009, 2.1362227347124878, 2.1387540043894311, 2.1432247196928436, 2.1494916226608596, 2.1572833044037787, 2.1662521533384713, 2.1760250599864808, 2.1862441716583563, 2.196593842695413, 2.2068141310551166, 2.2167036758471834, 2.226115571133076, 2.2349495041252654, 2.2431425840417765, 2.250660394630243, 2.2574890775518845, 2.26362875343023, 2.2690882870436231, 2.2738812493852363, 2.2780228697303913, 2.2815277651012345, 2.2844082556253862, 2.2866731061505545, 2.2883265686886749, 2.2893676334286694, 2.289789428022349, 2.2895787377427697, 2.288715657107697, 2.2871734332630149, 2.2849186329120474, 2.2819118731074708, 2.2781095245468737, 2.2734670568327102, 2.267945091791308, 2.2615198107022567, 2.2542001476497782, 2.246055113864073, 2.237255261487888, 2.2281316535679774, 2.2192514262863474, 2.2114970971156591, 2.206112980725865, 2.2046490989975172, 2.2087153641970478, 2.2195115895096138, 2.2372636928767093, 2.260887189263582, 2.2881781101160281, 2.3164917592671741, 2.3435103514667488, 2.3677012400364763, 2.3883680746446432, 2.4054483571420775, 2.4192507876836764, 2.4302436163808316, 2.4389218687070362, 2.4457395943224407, 2.4510837601184052, 2.4552706432721969, 2.4585524733345703, 2.4611275603230487, 2.4631506159111041, 2.4647419023263266, 2.4659948126078799, 2.4669819231285319, 2.4677597247194476, 2.4683722758793318, 2.4688540044004919, 2.4692318481525883, 2.4695268878337595, 2.4697555905983841, 2.469930755439691, 2.4700622289315053, 2.4701574425911428, 2.4702218097279065, 2.4702590092653969, 2.4702711758833629, 2.4702664796150779, 2.4702523743200313, 2.4702288104159309, 2.4701957048916787, 2.4701529407415541, 2.4701003661631105, 2.4700377935086104, 2.4699649979766534, 2.4698817160271394, 2.4697876434989232, 2.4696824334054854, 2.469565693379141, 2.4694369827292726, 2.4692958090742083, 2.4691416244996303, 2.468973821189028, 2.4687917264626562, 2.4685945971520176, 2.4683816132247878, 2.4681518705621284, 2.4679043727748327, 2.4676380219264518, 2.4673516080109463, 2.4670437970077055, 2.4667131173080841, 2.4663579442741534, 2.4659764826509303, 2.4655667465069517, 2.4651265363237282, 2.4646534127904158, 2.4641446667843208, 2.4635972849286194, 2.4630079100135145, 2.462372795442203, 2.461687752716613, 2.4609480908040826, 2.4601485460220553, 2.4592832008372034, 2.4583453896931236, 2.4573275896505895, 2.4562212932402354, 2.4550168604840232, 2.4537033465343896, 2.4522683008082846, 2.4506975328610898, 2.448974839567815, 2.4470816874858237, 2.4449968436205176, 2.4426959472992307, 2.4401510156356818, 2.4373298753898709, 2.4341955152860772, 2.4307053556423042, 2.4268104373826356, 2.4224545414670966, 2.41757326437842, 2.412093098214708, 2.4059305987568718, 2.3989917762549835, 2.391171917119693, 2.3823561458280564, 2.3724211689090278, 2.3612388046598527, 2.3486820776208446, 2.3346348046844216, 2.319005636971966, 2.3017473067486636, 2.2828811583916928, 2.2625256892694789, 2.2409256567670277, 2.218475509065589, 2.1957282671012615, 2.1733800722948673, 2.152223336943452, 2.1330688928675143, 2.1166484097001446, 2.1035182542595221, 2.0939892048819821, 2.0880999023235098, 2.0856379847051234, 2.0861983009689289, 2.0892590502873318, 2.0942565400794289, 2.1006452271677181, 2.1079375423315816, 2.1157243127941698, 2.1236800618057114, 2.1315583914553033, 2.1391820318208543, 2.1464309050069126, 2.1532303073190957, 2.1595403272373601, 2.1653469468322433, 2.1706548734972815, 2.1754819414140552, 2.1798548378302618, 2.1838058953260582, 2.187370712837708, 2.190586404247175, 2.1934903122652161, 2.1961190614728614, 2.1985078554751096, 2.2006899486863705, 2.2026962436738389, 2.20455498090283, 2.2062914998745438, 2.2079280596615867, 2.2094837132633698, 2.2109742344554437, 2.2124120982519693, 2.213806517051141, 2.215163534279661, 2.2164861761803376, 2.2177746605806652, 2.2190266593235601, 2.2202376088015683, 2.2214010609527395, 2.2225090653435156, 2.2235525717189333, 2.2245218417151156, 2.225406858311838, 2.2261977220056446, 2.2268850235149524, 2.2274601839697787, 2.2279157548649868, 2.2282456714508418, 2.2284454546039352, 2.2285123575034795, 2.2284454546039298, 2.2282456714508414, 2.2279157548649859, 2.2274601839697752, 2.2268850235149569, 2.2261977220056455, 2.2254068583118438, 2.2245218417151182, 2.2235525717189333, 2.2225090653435182, 2.2214010609527426, 2.2202376088015709, 2.2190266593235597, 2.217774660580667, 2.2164861761803385, 2.2151635342796605, 2.2138065170511392, 2.2124120982519662, 2.2109742344554344, 2.2094837132633671, 2.207928059661588, 2.2062914998745464, 2.2045549809028309, 2.2026962436738371, 2.2006899486863629, 2.1985078554751092, 2.1961190614728685, 2.1934903122652005, 2.190586404247171, 2.1873707128376991, 2.183805895326052, 2.1798548378302645, 2.1754819414140592, 2.170654873497269, 2.1653469468322459, 2.1595403272373757, 2.1532303073190922, 2.1464309050069081, 2.1391820318208667, 2.1315583914553105, 2.1236800618057097, 2.1157243127941743, 2.1079375423315749, 2.1006452271677074, 2.0942565400794324, 2.0892590502873252, 2.0861983009689338, 2.0856379847051194, 2.0880999023235076, 2.0939892048819693, 2.1035182542595154, 2.1166484097001601, 2.1330688928675259, 2.1522233369434254, 2.1733800722948571, 2.1957282671012739, 2.2184755090656156, 2.2409256567670464, 2.26252568926949, 2.2828811583916964, 2.3017473067486787, 2.3190056369719683, 2.3346348046844194, 2.3486820776208446, 2.3612388046598576, 2.372421168909022, 2.3823561458280578, 2.3911719171197019, 2.3989917762549857, 2.4059305987568638, 2.4120930982147049, 2.4175732643784196, 2.4224545414670899, 2.4268104373826334, 2.4307053556422997, 2.4341955152860826, 2.4373298753898704, 2.4401510156356832, 2.4426959472992311, 2.4449968436205189, 2.4470816874858232, 2.4489748395678168, 2.4506975328610885, 2.4522683008082837, 2.4537033465343931, 2.4550168604840232, 2.4562212932402336, 2.4573275896505908, 2.4583453896931244, 2.4592832008372043, 2.4601485460220553, 2.4609480908040831, 2.4616877527166121, 2.4623727954422026, 2.4630079100135149, 2.4635972849286207, 2.4641446667843185, 2.4646534127904181, 2.4651265363237274, 2.4655667465069517, 2.4659764826509307, 2.4663579442741561, 2.4667131173080805, 2.4670437970077024, 2.4673516080109441, 2.4676380219264495, 2.4679043727748282, 2.4681518705621261, 2.4683816132247829, 2.4685945971520202, 2.4687917264626562, 2.4689738211890284, 2.4691416244996303, 2.4692958090742008, 2.4694369827292699, 2.4695656933791383, 2.4696824334054863, 2.4697876434989214, 2.4698817160271367, 2.4699649979766529, 2.4700377935086073, 2.4701003661631069, 2.470152940741555, 2.4701957048916769, 2.4702288104159278, 2.4702523743200318, 2.4702664796150757, 2.4702711758833669, 2.4702688281944032, 2.4702617822308781, 2.4702500292940641, 2.4702335548567582, 2.4702123385190524, 2.4701863539461444, 2.4701555687879364, 2.4701199445798383, 2.4700794366243803, 2.4700339938531264, 2.4699835586680297, 2.4699280667615215, 2.4698674469143436, 2.469801620770228, 2.4697305025860739, 2.4696539989564132, 2.4695720085107009, 2.4694844215818863, 2.4693911198442984, 2.4692919759191776, 2.4691868529453207, 2.4690756041128936, 2.4689580721574291, 2.4688340888113895, 2.4687034742101015, 2.4685660362484776, 2.4684215698850975, 2.4682698563891079, 2.4681106625257536, 2.4679437396754116, 2.4677688228807781, 2.4675856298161349, 2.4673938596723697, 2.4671931919504768, 2.4669832851555635, 2.4667637753830625, 2.4665342747874259, 2.4662943699230278, 2.4660436199458386, 2.4657815546633786, 2.4655076724191574, 2.4652214377963615, 2.4649222791242442, 2.4646095857687422, 2.4642827051871996, 2.4639409397248322, 2.4635835431284634, 2.4632097167505251, 2.4628186054134145, 2.4624092929014205, 2.4619807970439247, 2.4615320643499792, 2.4610619641500784, 2.4605692821966296, 2.460052713669413, 2.4595108555270815, 2.4589421981395145, 2.4583451161294803, 2.4577178583446488, 2.4570585368734186, 2.4563651150093522, 2.4556353940599469, 2.454866998885747, 2.4540573620450323, 2.4532037064088468, 2.4523030260988707, 2.4513520655896808, 2.4503472968042534, 2.449284894020662, 2.4481607063966209, 2.4469702279094143, 2.4457085645017993, 2.4443703982207996, 2.4429499481383621, 2.4414409278516271, 2.439836499379882, 2.4381292233075906, 2.4363110050740877, 2.4343730373849382, 2.4323057388264138, 2.4300986889113365, 2.427740559983965, 2.4252190466782859, 2.4225207939749835, 2.4196313253610064, 2.4165349731857342, 2.4132148140626857, 2.4096526131178666, 2.4058287820769655, 2.4017223576538558, 2.3973110084932996, 2.3925710810674685, 2.3874776974482139, 2.3820049207686784, 2.3761260073960995, 2.3698137682346347, 2.3630410649297717, 2.355781469665815, 2.3480101191433351, 2.3397047933425652, 2.3308472466691659, 2.321424811567748, 2.3114322809409997, 2.3008740538794443, 2.2897664976551879, 2.2781404367731954, 2.2660436277319156, 2.2535430191185402, 2.2407265372860041, 2.2277040887273785, 2.2146074458258984, 2.2015886995417255, 2.1888170360790791, 2.1764737333163473, 2.1647454728479421, 2.1538163037952209, 2.1438588363984485, 2.1350254362470498, 2.1274402835525303, 2.1211931215640942, 2.1163353385725689, 2.1128787376899409, 2.1107970045742306, 2.1100295544910135, 2.1104871880086233, 2.1120588471009158, 2.1146187479856282, 2.1180332541089895, 2.1320715185933228, 2.1493089351106214, 2.1673023280848676, 2.1845456179738845, 2.2002662238453583, 2.2141707883763475, 2.2262415399955349, 2.2366007911523567, 2.2454300728828929, 2.2529256591224578, 2.2592760595413179, 2.2646519516929997, 2.2692027971398421, 2.2730568502389392, 2.2763227506362225, 2.2790917403693745, 2.2814400176479706, 2.283430993226911, 2.2851173479700853, 2.2865428569770261, 2.2877439775414072, 2.2887512122992626, 2.2895902643803234, 2.2902830029528025, 2.2908482575736366, 2.291302459247861, 2.2916601454340526, 2.2919343454894108, 2.2921368622106222, 2.2922784641732954, 2.2923690025102617, 2.2924174646325173, 2.2924319762407417, 2.2924197618528601, 2.2923870730263003, 2.2923390925024885, 2.2922798216430182, 2.2922119577377931, 2.2921367670080723, 2.2920539583563544, 2.2919615620926002, 2.2918558169616667, 2.291731067805483, 2.2915796751287383, 2.2913919367418751, 2.2911560205915928, 2.2908579069358299, 2.2904813372608137, 2.2900077668545968, 2.2894163178126474, 2.2886837295111779, 2.2877843042794881, 2.2866898471609618, 2.2853696003035715, 2.2837901747093228, 2.2819154848804368, 2.2797066954559151, 2.2771221934247463, 2.2741176051735357, 2.2706458847548099, 2.2666575086118876, 2.2621008227231907, 2.2569226006390593, 2.2510688845870201, 2.2444861953019482, 2.2371232067924471, 2.2289329853492048, 2.2198758808518821, 2.2099231233625187, 2.1990611075745496, 2.1872962303784078, 2.1746599755255445, 2.1612137190190603, 2.1470524863392786, 2.132306686373445, 2.117140769323854, 2.1017479189328938, 2.0863403860898071, 2.0711359153007107, 2.0563417843143941, 2.0421389942634849, 2.0286697487563581, 2.0160312353376293, 2.0042777711984132, 1.9934317771484198, 1.9835021875453862, 1.9745072068410083, 1.9664970715806915, 1.9595717938171264, 1.9538888286934939, 1.9496564281206668, 1.9471104717101013, 1.9464760704036506, 1.9479198865610012, 1.9515035505678089, 1.9571505992703939, 1.9646371565600511, 1.9736101164431552, 1.9836283271822279, 1.9942159045316015, 2.0049149520066383, 2.0153276887523091, 2.0251431616271076, 2.0341487328767327, 2.0422297309958868, 2.0493617187738473, 2.0555993469650979, 2.0610645400812109, 2.0659354412294588, 2.0704364753316513, 2.0748291984538292, 2.079403287842247, 2.0844670432990071, 2.0903370290228516, 2.097326830022483, 2.1057350544519653, 2.1158322762155044, 2.1278451447590094, 2.1419332475556119, 2.1581512580867179, 2.1763878874639002, 2.1962785901157971, 2.2171054212079735, 2.2377241005345208, 2.2565816628825686, 2.2718823347096393, 2.2819060575044192, 2.2854004725328698, 2.2830620618778688, 2.2762541231112743, 2.2655592400371396, 2.2518291044052177, 2.2360421323935946, 2.2191629075306096, 2.2020348814083244, 2.1853214956142364, 2.1694933878228166, 2.1548479212949232, 2.1415443155213478, 2.1296409509346401, 2.1191271002232996, 2.1099464189367487, 2.1020127481555009, 2.0952201795342464, 2.0894495002380826, 2.0845726974186083, 2.0804566013639181, 2.0769662211400393, 2.0739679637104156, 2.0713327272878859, 2.0689387832810966, 2.0666743609104605, 2.0644398830263393, 2.0621498415008048, 2.0597343285910945, 2.0571402494911641, 2.054332230409325, 2.051293209948609, 2.0480246662345429, 2.0445463970371205, 2.0408957452489571, 2.0371261579680633, 2.0333049930524787, 2.0295105472344108, 2.0258283724980273, 2.0223470609070584, 2.0191537915005258, 2.016330019273993, 2.0139477193112372, 2.0120665616422344, 2.0107322833818397, 2.0099763617367561, 2.0098169067857512, 2.0102605242938134, 2.011304778712717, 2.0129408339608443, 2.0151558670996588, 2.0179349261192114, 2.0212620178720324, 2.0251203437843803, 2.0294917296965207, 2.0343554067504965, 2.0396863818005779, 2.0454536812957311, 2.0516187583435355, 2.0581343188963261, 2.0649437544987954, 2.071981275624815, 2.0791727354472807, 2.086437035180023, 2.0936879240532678, 2.1008359602717213, 2.1077903880950988, 2.1144607076816739, 2.1207577604621912, 2.1265942132223215, 2.1318843897642736, 2.136543465829662, 2.1404861149741405, 2.143624786703767, 2.1458679487624197, 2.1471188991459011, 2.147276267583611, 2.1462382795478803, 2.1439145556025552, 2.1402520422755971, 2.1352857422616625, 2.1292289037370615, 2.1226152205513809, 2.1164808400045385, 2.1124984249500329, 2.1128454957032337, 2.1195389388473189, 2.1333106330858076, 2.1528203790873262, 2.1751083409667928, 2.1970214660359502, 2.2163910091709522, 2.2322949554743703, 2.2447040213400391, 2.2540254800174337, 2.2607893765782898, 2.2654925847157861, 2.2685432703944945, 2.2702541642573801, 2.270854487755531, 2.27050633726504, 2.2693200163207097, 2.267366828818524, 2.2646894947753187, 2.2613109447942494, 2.257242431582116, 2.2524919384208388, 2.2470738442937077, 2.2410206859410788, 2.2343975063192878, 2.2273184797471104, 2.219964008279796, 2.2125941893419214, 2.2055518716077223, 2.1992468287161326, 2.1941143115884438, 2.1905486455077749, 2.1888249211916233, 2.1890331851296638, 2.1910507407676838, 2.1945647929312782, 2.199136311300256, 2.2042802711901399, 2.2095361750016451, 2.2145134172919692, 2.2189094285058455, 2.2225073615161772, 2.2251627307641022, 2.2267869897282591, 2.2273332603578933], [2.0585558750235191, 2.0552095660748626, 2.0456603232531334, 2.0312205572675981, 2.0136367174545899, 1.9946557654297628, 1.9757171066782804, 1.9578332112360597, 1.9416170928762986, 1.9273743445294516, 1.9151958759487653, 1.9050249504740826, 1.8966990207456931, 1.8899765762445049, 1.8845579024708659, 1.8801039365585472, 1.8762536706673394, 1.8726389905919238, 1.868895954409304, 1.8646724358043647, 1.8596331501850181, 1.8534641148723408, 1.8458796344170814, 1.8366361583100219, 1.8255590079308683, 1.8125898871199762, 1.7978643054912324, 1.7818257141791951, 1.7653712238072856, 1.7499931138704299, 1.737825979602091, 1.7314527728295026, 1.7333405454845623, 1.7449704028092472, 1.7660584620725968, 1.7944118810632428, 1.82660988287382, 1.859096573575366, 1.8890531924802227, 1.9147342721921194, 1.935364512855196, 1.9508508653377301, 1.9615015703103744, 1.9678301283657558, 1.9704479696127213, 1.970020819427887, 1.9672594745708005, 1.9629197129298332, 1.9577919995756488, 1.9526691616786493, 1.9482903494851755, 1.9452714166029841, 1.944041113542949, 1.9448038624476092, 1.9475414217971712, 1.9520515801638276, 1.9580098743119687, 1.9650359056349793, 1.9727493302522041, 1.9808080571812354, 1.9889281971553878, 1.9968895241871683, 2.0045315386320941, 2.0117446818935361, 2.0184599655872915, 2.024638973428055, 2.0302651911195899, 2.0353369709939972, 2.0398620781608923, 2.043853600273295, 2.0473269538544452, 2.0502977306650396, 2.0527801636318368, 2.0547860347025519, 2.0563238877313936, 2.0573984449077591, 2.0580101551884118, 2.0581548292519876, 2.0578233403489712, 2.0570013978792816, 2.0556694360438277, 2.0538027116506412, 2.0513717857881453, 2.0483436935948323, 2.0446843160479355, 2.0403628050278546, 2.0353594449013523, 2.0296791405384806, 2.0233738554548411, 2.0165786735930626, 2.0095670861087349, 2.0028296356508131, 1.997171503643578, 1.9938006722160553, 1.9943312922898127, 2.0005706590304229, 2.0139679141865119, 2.0348082239141978, 2.0616214062834337, 2.0914084782745594, 2.1207250173304679, 2.1468805698335673, 2.1685019260252725, 2.1853842726276986, 2.1980255237648452, 2.2071983651699001, 2.2136868812979498, 2.2181681780692446, 2.2211810913046675, 2.2231354373779397, 2.2243350181864643, 2.2250018654854182, 2.2252970535219005, 2.2253370469093237, 2.2252059737243126, 2.2249646199594539, 2.2246569391347051, 2.2243147366142488, 2.2239610349625405, 2.2236124937443416, 2.2232811532977523, 2.2229756948514146, 2.2227023535434287, 2.2224655810704079, 2.2222685264304474, 2.2221133831653148, 2.2220016371996034, 2.2219342390566226, 2.2219117166456157, 2.2219127230585407, 2.2219157390800039, 2.2219207550100259, 2.2219277545207139, 2.2219367144112807, 2.2219476042586059, 2.2219603859568284, 2.2219750131372296, 2.2219914304573831, 2.2220095727458751, 2.2220293639861328, 2.2220507161193845, 2.2220735276432149, 2.2220976819775897, 2.2221230455653629, 2.2221494656682768, 2.2221767678124524, 2.2222047528296156, 2.2222331934303416, 2.2222618302345989, 2.222290367171551, 2.2223184661444835, 2.222345740838191, 2.2223717495235578, 2.2223959866872001, 2.2224178732819961, 2.2224367453558465, 2.2224518407694931, 2.2224622836587171, 2.2224670662287305, 2.2224650273872362, 2.2224548276240395, 2.2224349194256092, 2.2224035123672619, 2.22235853184901, 2.2222975702249799, 2.2222178288130228, 2.2221160489492853, 2.2219884298588113, 2.2218305306322126, 2.2216371530098589, 2.2214022009566521, 2.2211185121343502, 2.2207776553142162, 2.2203696864852929, 2.2198828548678362, 2.2193032482036705, 2.2186143645428151, 2.2177965952801735, 2.2168266014659856, 2.2156765625565291, 2.2143132740769671, 2.2126970686862268, 2.2107805348396865, 2.208507010300484, 2.2058088368869488, 2.2026053824283149, 2.198800872691598, 2.1942821401247872, 2.1889165019589685, 2.182550146427185, 2.1750076545298871, 2.1660936348467095, 2.1555979011765554, 2.1433061291620294, 2.129018338837386, 2.1125775429513767, 2.0939099252284894, 2.0730752438868829, 2.0503212308068512, 2.026128946847551, 2.0012297092399884, 1.9765730480136656, 1.95323440062335, 1.9322719228497733, 1.9145661465006021, 1.9006896664910551, 1.8908456115142098, 1.8848865412960349, 1.8823957065252426, 1.8827962704202315, 1.8854556362293338, 1.8897647839077101, 1.8951867817314785, 1.9012783543786875, 1.9076924237170785, 1.9141695586788487, 1.9205244368664975, 1.9266312496150115, 1.9324101959558082, 1.9378159929140648, 1.9428286083649664, 1.9474460533898368, 1.9516789196866542, 1.9555463164781663, 1.959072888403226, 1.9622866453625958, 1.965217388635129, 1.9678955662983197, 1.970351432077422, 1.9726144149191571, 1.9747126327077882, 1.9766725038321524, 1.9785184259577762, 1.9802725033481416, 1.9819543131762298, 1.9835807080175996, 1.9851656564958904, 1.9867201271178969, 1.9882520218763799, 1.9897661663807467, 1.991264362276153, 1.9927455057450689, 1.9942057732081799, 1.9956388722491762, 1.9970363525930634, 1.9983879689752557, 1.9996820852138832, 2.0009061069408709, 2.0020469293727543, 2.0030913862329145, 2.0040266864096306, 2.0048408260163453, 2.0055229650351474, 2.0060637594798201, 2.0064556418316082, 2.0066930442339554, 2.0067725604884479, 2.006693044233951, 2.0064556418316073, 2.0060637594798201, 2.0055229650351443, 2.0048408260163488, 2.0040266864096301, 2.0030913862329198, 2.002046929372757, 2.0009061069408722, 1.9996820852138852, 1.9983879689752579, 1.9970363525930657, 1.9956388722491765, 1.9942057732081819, 1.99274550574507, 1.9912643622761528, 1.9897661663807449, 1.988252021876376, 1.9867201271178889, 1.9851656564958895, 1.9835807080176007, 1.9819543131762336, 1.9802725033481419, 1.9785184259577737, 1.9766725038321458, 1.9747126327077889, 1.9726144149191633, 1.970351432077408, 1.9678955662983164, 1.9652173886351216, 1.9622866453625916, 1.9590728884032274, 1.9555463164781686, 1.9516789196866442, 1.9474460533898383, 1.9428286083649791, 1.9378159929140606, 1.9324101959558029, 1.9266312496150222, 1.920524436866504, 1.914169558678847, 1.9076924237170825, 1.9012783543786811, 1.8951867817314698, 1.889764783907713, 1.8854556362293273, 1.8827962704202357, 1.8823957065252404, 1.8848865412960329, 1.8908456115141969, 1.9006896664910489, 1.9145661465006187, 1.9322719228497849, 1.9532344006233195, 1.9765730480136545, 2.00122970924, 2.0261289468475829, 2.0503212308068721, 2.073075243886894, 2.0939099252284925, 2.11257754295139, 2.1290183388373896, 2.1433061291620268, 2.1555979011765558, 2.1660936348467139, 2.1750076545298835, 2.1825501464271873, 2.1889165019589751, 2.1942821401247881, 2.1988008726915935, 2.2026053824283118, 2.205808836886948, 2.20850701030048, 2.2107805348396874, 2.2126970686862246, 2.2143132740769698, 2.2156765625565269, 2.2168266014659865, 2.2177965952801721, 2.218614364542816, 2.2193032482036719, 2.2198828548678349, 2.2203696864852889, 2.2207776553142149, 2.2211185121343524, 2.221402200956653, 2.2216371530098566, 2.2218305306322139, 2.2219884298588095, 2.2221160489492853, 2.2222178288130232, 2.222297570224979, 2.2223585318490087, 2.2224035123672605, 2.2224349194256101, 2.2224548276240399, 2.2224650273872322, 2.2224670662287309, 2.2224622836587149, 2.2224518407694926, 2.2224367453558465, 2.2224178732820001, 2.2223959866871961, 2.2223717495235542, 2.2223457408381879, 2.2223184661444808, 2.2222903671715493, 2.2222618302345971, 2.222233193430339, 2.2222047528296187, 2.222176767812452, 2.2221494656682768, 2.2221230455653633, 2.2220976819775853, 2.2220735276432122, 2.2220507161193823, 2.2220293639861319, 2.2220095727458751, 2.2219914304573818, 2.2219750131372291, 2.2219603859568258, 2.2219476042586037, 2.2219367144112803, 2.2219277545207134, 2.2219207550100237, 2.2219157390800053, 2.2219127230585376, 2.2219117166456162, 2.2219122199424497, 2.2219137293113769, 2.2219162431831818, 2.2219197589275428, 2.2219242728304249, 2.221929780062228, 2.2219362746365174, 2.2219437493589105, 2.2219521957658435, 2.2219616040528338, 2.2219719629916121, 2.2219832598356275, 2.2219954802131627, 2.2220086080074202, 2.2220226252225728, 2.2220375118348472, 2.2220532456275777, 2.2220698020090275, 2.2220871538114864, 2.2221052710703342, 2.2221241207811624, 2.2221436666333694, 2.22216386871788, 2.2221846832069532, 2.2222060620034472, 2.2222279523566586, 2.2222502964419313, 2.2222730309002716, 2.2222960863344525, 2.2223193867572792, 2.2223428489874641, 2.2223663819878454, 2.2223898861404168, 2.2224132524517661, 2.2224363616818072, 2.2224590833882374, 2.2224812748779086, 2.2225027800555242, 2.2225234281589747, 2.2225430323694289, 2.2225613882828816, 2.2225782722283367, 2.2225934394162112, 2.2226066218984761, 2.2226175263200059, 2.2226258314381302, 2.2226311853846519, 2.2226332026416356, 2.2226314606986208, 2.2226254963552003, 2.2226148016284166, 2.2225988192195478, 2.222576937489162, 2.2225484848831587, 2.2225127237452575, 2.2224688434434938, 2.2224159527290865, 2.2223530712359585, 2.2222791200174492, 2.2221929110039613, 2.2220931352504252, 2.2219783498260597, 2.2218469631803046, 2.2216972187978645, 2.221527176932736, 2.2213346941845438, 2.2211174006520378, 2.2208726743659115, 2.2205976126679956, 2.2202890001647706, 2.2199432728410371, 2.2195564778743515, 2.2191242286427215, 2.2186416543685668, 2.2181033437917947, 2.2175032822166942, 2.2168347812338354, 2.2160904003844775, 2.2152618600166702, 2.2143399445888123, 2.2133143957196135, 2.2121737943796402, 2.2109054317913315, 2.2094951688798079, 2.207927284535804, 2.2061843135626562, 2.2042468760475078, 2.2020935011010168, 2.1997004495518233, 2.1970415423812395, 2.1940880045813014, 2.1908083378737375, 2.1871682405010189, 2.1831305982421108, 2.1786555780118158, 2.1737008638566739, 2.1682220846445359, 2.16217349270361, 2.1555089620356025, 2.1481833817137992, 2.1401545219347939, 2.1313854430344175, 2.1218474965617582, 2.1115239263462104, 2.1004140105845961, 2.0885375893442175, 2.0759396961390895, 2.0626948661635609, 2.04891054784723, 2.0347289326879316, 2.0203264861921819, 2.0059105580508838, 1.9917127066398184, 1.977978791818312, 1.9649564202487584, 1.9528808652097556, 1.9419609912618323, 1.9323668652164672, 1.924220558994707, 1.9175911694697454, 1.9124944086840316, 1.9088964212777655, 1.9067209256257853, 1.9058584554523843, 1.9061764239835273, 1.9075288966418553, 1.9097652545120496, 1.9127372677081413, 1.9247205234218223, 1.9390256994721722, 1.9536380308391674, 1.9674453402098941, 1.9799367904616643, 1.9909529423393582, 2.000519615239579, 2.0087493796770999, 2.015787358827593, 2.0217832892977921, 2.026878245502068, 2.0311992003315842, 2.034857594996891, 2.0379498425221976, 2.04055867092656, 2.0427547479451422, 2.0445983155349188, 2.0461407120660837, 2.0474257359667773, 2.0484908412881668, 2.0493681720399293, 2.0500854483649698, 2.0506667190557435, 2.0511329943315744, 2.0515027715503784, 2.0517924652211676, 2.0520167515350991, 2.0521888366855192, 2.0523206574757809, 2.0524230220788211, 2.0525056982855832, 2.0525774561430996, 2.0526460715321253, 2.052718296963151, 2.0527998056699825, 2.0528951149333516, 2.053007494443202, 2.0531388653667499, 2.0532896955833779, 2.0534588962273639, 2.0536437242050454, 2.0538396946935515, 2.0540405067788603, 2.0542379843674716, 2.0544220333554493, 2.0545806148306545, 2.0546997329084351, 2.0547634347560306, 2.0547538195441115, 2.0546510525578912, 2.054433380569233, 2.0540771448529322, 2.0535567889416386, 2.052844859359126, 2.0519119991541572, 2.0507269361001796, 2.0492564699838209, 2.0474654665812126, 2.0453168698698421, 2.0427717489470707, 2.0397894022524996, 2.0363275492237389, 2.0323426485593634, 2.0277903926848362, 2.0226264392512179, 2.0168074512509206, 2.0102925252080577, 2.003045087935226, 1.9950353306085948, 1.9862432163466155, 1.9766620344774011, 1.9663023720144106, 1.9551962257611137, 1.9434007933706279, 1.9310012850476912, 1.9181119437902745, 1.9048744342840391, 1.8914529557028781, 1.8780259249469571, 1.8647748578923515, 1.8518720097325425, 1.8394691456378041, 1.8276901548599005, 1.8166298204185707, 1.8063598531273117, 1.7969415099947166, 1.7884421707728748, 1.7809516361959716, 1.7745930762051465, 1.7695238441049215, 1.7659230312408249, 1.7639657029700946, 1.7637877907130577, 1.7654494676118371, 1.7689068256963276, 1.7740003965556286, 1.78046445846116, 1.7879548728798813, 1.7960880751753392, 1.8044818529393121, 1.8127899610017477, 1.8207261166374704, 1.8280766461254816, 1.8347037002963993, 1.840542118116393, 1.8455929718541015, 1.8499161051009354, 1.8536230419400685, 1.856870786171378, 1.8598563659624365, 1.8628115419738109, 1.8659968881737246, 1.8696944821306218, 1.8741987157085864, 1.879805227866862, 1.8867985216658378, 1.895439103852274, 1.9059503727553309, 1.9185032367963866, 1.9331921463268555, 1.9499907786874346, 1.9686729301392836, 1.9886924723266044, 2.0090456784193584, 2.0281899947774775, 2.0441355531208294, 2.0547971967556773, 2.0585558750235191, 2.0560382023485611, 2.0487641676466031, 2.0375000137511372, 2.0233170657235586, 2.0073700992026056, 1.9907103806038231, 1.9741758513313983, 1.9583606969587868, 1.9436401159755299, 1.9302198981800069, 1.9181877933913738, 1.9075548700354008, 1.898283957577563, 1.8903071071933666, 1.8835355844407478, 1.8778656546538897, 1.8731824741168941, 1.8693634095504557, 1.8662813500526507, 1.8638081055076403, 1.8618177587019362, 1.860189778407267, 1.8588117341296, 1.8575815239787807, 1.8564090990835389, 1.8552177221995214, 1.8539448279906874, 1.8525425587785869, 1.8509780370341773, 1.8492334106687167, 1.8473056756557273, 1.8452062489657111, 1.8429602393479023, 1.8406053500643123, 1.8381903515141202, 1.8357730863793986, 1.8334180160046269, 1.8311933801877536, 1.8291681140462304, 1.8274087309861009, 1.8259764236055307, 1.8249246400434909, 1.8242973539161655, 1.8241281638946163, 1.8244402474976265, 1.8252470743345073, 1.8265536809371137, 1.8283582427044855, 1.8306536597302503, 1.8334289029527566, 1.8366699360756167, 1.8403601216533509, 1.8444801188986679, 1.8490073695368545, 1.8539153332895093, 1.859172668025594, 1.8647425484203657, 1.8705822837353112, 1.87664333760916, 1.8828717816602574, 1.8892091429312272, 1.8955935445185883, 1.9019609976755818, 1.9082466861094765, 1.9143860880335961, 1.9203158037554331, 1.9259739890942991, 1.9313003307684076, 1.9362355343824043, 1.9407203283591927, 1.9446940243549964, 1.948092733412073, 1.9508474533402498, 1.9528824878518929, 1.9541151687310392, 1.9544588806932219, 1.9538333559714074, 1.952189661171468, 1.9495623769802379, 1.9461656611688081, 1.9425419286295302, 1.939723028468114, 1.9392423717307259, 1.9427176939269766, 1.9509378949834364, 1.9631042691447123, 1.9771361506345579, 1.990841776231981, 2.0028175613472365, 2.0125583480643288, 2.0201324156870966, 2.0258471787405066, 2.0300510865570027, 2.0330497941111654, 2.0350840234450116, 2.0363330148905177, 2.0369256511369485, 2.0369520100724143, 2.0364730746724633, 2.0355283199418417, 2.0341415733888448, 2.0323257131797456, 2.0300867734843533, 2.0274280040469783, 2.0243544221762502, 2.0208783961519057, 2.017026771325614, 2.0128499143442093, 2.0084326726451671, 2.0039064380875913, 1.9994600835130272, 1.9953455180590258, 1.991871536629096, 1.9893790143873784, 1.9881936289264326, 1.9885608141947924, 1.9905796201284303, 1.9941603570750028, 1.9990266547242388, 2.0047645416782647, 2.0108998959065252, 2.0169755081765079, 2.0226050952925978, 2.0274965607722852, 2.0314498024519012, 2.0343400092772175, 2.0360967344306644, 2.0366856674610037], [1.852195519072271, 1.8487946258593388, 1.8391676344146535, 1.8247994894705317, 1.8075394430033391, 1.7891034810010584, 1.7708256387616399, 1.7536315254603287, 1.7381116378629669, 1.7246022482791419, 1.7132421621023672, 1.7040097138815444, 1.6967526794480017, 1.6912187555585094, 1.6870874851400648, 1.6840007401063664, 1.6815883734142654, 1.6794869906865491, 1.67735155089935, 1.6748608907707936, 1.6717190859807782, 1.6676549787761688, 1.6624225143320264, 1.6558050447541317, 1.6476277425368842, 1.6377838716367275, 1.6262827481858411, 1.613328791087228, 1.5994391051682515, 1.5855947661930003, 1.5733873100189522, 1.5650590889583234, 1.5632671883656419, 1.5704200529582848, 1.5876793962338447, 1.6141386556652859, 1.6468380864062551, 1.681749793202215, 1.715096189640225, 1.744221799297329, 1.7677648866054745, 1.7853749602613072, 1.7973183156120938, 1.8041682658430083, 1.8066274735173091, 1.8054562125266398, 1.8014617708943539, 1.7955073812001399, 1.7885078214039538, 1.7813909815001936, 1.7750222482415126, 1.7701093324619219, 1.7671199949927425, 1.7662438375821901, 1.7674110122640974, 1.7703568111098689, 1.7747062037878958, 1.7800524838021801, 1.7860145039579733, 1.7922688923408345, 1.7985615083348416, 1.8047052367261183, 1.8105706834791166, 1.8160744451926045, 1.8211676842880042, 1.825826290013737, 1.8300430060119601, 1.8338214337025573, 1.8371716227703287, 1.8401069135072925, 1.8426417212250192, 1.8447900050948711, 1.8465642197108305, 1.8479745975590367, 1.849028651465596, 1.8497308183296008, 1.8500821908061207, 1.8500803044560286, 1.8497189669773599, 1.8489881368073602, 1.8478738851060972, 1.846358514522108, 1.8444209706615284, 1.8420377849237621, 1.8391849585031368, 1.8358414829104976, 1.8319956652245715, 1.8276561940708393, 1.8228710795711016, 1.8177593171201534, 1.8125621364549904, 1.8077216742977664, 1.8039905154191342, 1.8025551249350458, 1.8051014053084586, 1.8136529920756139, 1.829944796603306, 1.8542989373151957, 1.8846402574908938, 1.9167898784677169, 1.9462631289952406, 1.9701405497181659, 1.9876128349753739, 1.9993470155053126, 2.0066017148176716, 2.0106432854794472, 2.0125047695919012, 2.0129467903161666, 2.0124989501515054, 2.0115183333729556, 2.0102409988034244, 2.0088208434161219, 2.0073569542859016, 2.0059122000078515, 2.0045256510166252, 2.0032208127797766, 2.0020110694730509, 2.0009032840572565, 1.9999001826679084, 1.9990019366283536, 1.9982072135290401, 1.9975138758787714, 1.9969194451017978, 1.9964214089102521, 1.9960174239644786, 1.9957054484669534, 1.9954838278243594, 1.9953513487462504, 1.9953072718113387, 1.9953119090804599, 1.9953258278364538, 1.9953490489367531, 1.995381607181725, 1.9954235513706489, 1.9954749443779212, 1.9955358632472695, 1.9956063993009707, 1.9956866582601342, 1.995776760371023, 1.9958768405312712, 1.9959870484080833, 1.9961075485390505, 1.9962385204036768, 1.9963801584514083, 1.9965326720685643, 1.9966962854626467, 1.9968712374381379, 1.9970577810316814, 1.9972561829679283, 1.9974667228886613, 1.9976896922972944, 1.9979253931482079, 1.9981741359946552, 1.9984362375897236, 1.9987120178111526, 1.9990017957517698, 1.9993058847810992, 1.999624586339334, 1.9999581821695804, 2.0003069246256189, 2.0006710246070729, 2.0010506365674354, 2.0014458399068085, 2.0018566158944879, 2.0022828190564033, 2.0027241416980766, 2.0031800699002393, 2.0036498289019189, 2.0041323152510526, 2.0046260124229165, 2.0051288857424718, 2.0056382513454634, 2.0061506125095971, 2.0066614548968231, 2.0071649899666713, 2.007653832917998, 2.0081185978360478, 2.0085473880797085, 2.0089251541390722, 2.0092328840290015, 2.0094465826186538, 2.0095359861439244, 2.0094629468706717, 2.0091794115271, 2.008624908064149, 2.0077234532395325, 2.0063798072126353, 2.0044750462677614, 2.0018615270422644, 1.9983575168796621, 1.9937421269996889, 1.9877517898446895, 1.9800804544991515, 1.9703869679811949, 1.9583146167771353, 1.9435289516938277, 1.9257795026919537, 1.9049866309460677, 1.8813442233150977, 1.8554121534010988, 1.8281556283296558, 1.8008860132641256, 1.7750844746511882, 1.7521436817709262, 1.73311326235091, 1.7185414701227366, 1.7084585232320988, 1.7024803795614387, 1.6999703694440176, 1.7001963600326722, 1.702447140634828, 1.7060997115079146, 1.7106461775453632, 1.7156943285274564, 1.7209544582881959, 1.7262210913481699, 1.7313545933533181, 1.7362650066120653, 1.7408988706719248, 1.7452289717200922, 1.7492466181131181, 1.7529559465500251, 1.7563697903009561, 1.7595067133008655, 1.7623888948836637, 1.7650406234543978, 1.7674872182233985, 1.7697542460103923, 1.7718669368101492, 1.7738497295521307, 1.7757259004122128, 1.7775172419050649, 1.7792437731491912, 1.7809234711170201, 1.7825720200078659, 1.7842025815053328, 1.7858255928118298, 1.7874486020786364, 1.7890761521960648, 1.7907097238950738, 1.792347747799075, 1.7939856925886244, 1.7956162330277725, 1.7972294975640908, 1.7988133909337078, 1.800353983083218, 1.8018359521434388, 1.8032430664666181, 1.8045586890687342, 1.8057662872703018, 1.8068499308384967, 1.8077947633228828, 1.8085874332920795, 1.8092164745319315, 1.8096726266826131, 1.8099490900476634, 1.8100417102567601, 1.8099490900476605, 1.8096726266826122, 1.8092164745319319, 1.8085874332920762, 1.8077947633228861, 1.8068499308384967, 1.8057662872703069, 1.8045586890687364, 1.8032430664666181, 1.8018359521434404, 1.8003539830832203, 1.7988133909337087, 1.7972294975640906, 1.7956162330277738, 1.7939856925886257, 1.7923477477990744, 1.7907097238950715, 1.7890761521960621, 1.7874486020786304, 1.785825592811829, 1.7842025815053328, 1.782572020007869, 1.7809234711170212, 1.7792437731491892, 1.7775172419050598, 1.7757259004122137, 1.7738497295521363, 1.7718669368101374, 1.7697542460103888, 1.7674872182233918, 1.7650406234543943, 1.7623888948836639, 1.7595067133008675, 1.7563697903009465, 1.7529559465500251, 1.7492466181131294, 1.7452289717200888, 1.7408988706719219, 1.7362650066120748, 1.7313545933533219, 1.7262210913481688, 1.7209544582881988, 1.7156943285274509, 1.7106461775453561, 1.7060997115079166, 1.7024471406348234, 1.7001963600326757, 1.6999703694440149, 1.7024803795614374, 1.7084585232320877, 1.7185414701227313, 1.7331132623509264, 1.752143681770939, 1.7750844746511532, 1.8008860132641145, 1.8281556283296678, 1.8554121534011365, 1.8813442233151203, 1.9049866309460775, 1.9257795026919573, 1.9435289516938403, 1.9583146167771381, 1.9703869679811929, 1.9800804544991517, 1.9877517898446935, 1.9937421269996864, 1.9983575168796639, 2.0018615270422688, 2.0044750462677592, 2.0063798072126344, 2.0077234532395294, 2.0086249080641494, 2.0091794115270964, 2.0094629468706744, 2.0095359861439226, 2.0094465826186552, 2.009232884028997, 2.0089251541390722, 2.0085473880797067, 2.0081185978360478, 2.0076538329179989, 2.0071649899666686, 2.0066614548968174, 2.006150612509594, 2.0056382513454651, 2.0051288857424732, 2.0046260124229134, 2.0041323152510522, 2.0036498289019158, 2.0031800699002389, 2.0027241416980766, 2.0022828190564024, 2.0018566158944857, 2.0014458399068062, 2.0010506365674372, 2.0006710246070729, 2.0003069246256144, 1.9999581821695807, 1.9996245863393303, 1.9993058847810972, 1.9990017957517694, 1.9987120178111539, 1.9984362375897196, 1.9981741359946519, 1.9979253931482046, 1.997689692297292, 1.9974667228886596, 1.997256182967927, 1.9970577810316807, 1.9968712374381417, 1.9966962854626471, 1.9965326720685637, 1.9963801584514098, 1.9962385204036746, 1.9961075485390478, 1.9959870484080822, 1.9958768405312712, 1.9957767603710239, 1.995686658260132, 1.9956063993009709, 1.9955358632472673, 1.9954749443779192, 1.9954235513706482, 1.9953816071817236, 1.995349048936752, 1.9953258278364547, 1.9953119090804579, 1.9953072718113383, 1.9953095902709475, 1.9953165470239127, 1.9953281461925827, 1.9953443946473175, 1.9953653020060638, 1.9953908806336869, 1.9954211456409783, 1.9954561148831127, 1.9954958089574524, 1.9955402512005291, 1.995589467683903, 1.9956434872086475, 1.9957023412981123, 1.9957660641886772, 1.9958346928179629, 1.9959082668100647, 1.9959868284572659, 1.9960704226976527, 1.9961590970877918, 1.9962529017698536, 1.9963518894321117, 1.9964561152620179, 1.9965656368904821, 1.9966805143263022, 1.9968008098792007, 1.9969265880697689, 1.9970579155247727, 1.9971948608554539, 1.997337494516767, 1.9974858886448241, 1.997640116869734, 1.9978002541004043, 1.9979663762777675, 1.9981385600921535, 1.9983168826600237, 1.9985014211549064, 1.998692252386391, 1.9988894523203768, 1.9990930955329058, 1.9993032545888836, 1.999519999335762, 1.9997433961010143, 1.9999735067806992, 2.0002103878047137, 2.0004540889623343, 2.0007046520694374, 2.000962109456188, 2.0012264822511225, 2.0014977784340333, 2.0017759906263501, 2.002061093583142, 2.0023530413458488, 2.0026517640088675, 2.0029571640464519, 2.0032691121384638, 2.0035874424246085, 2.0039119471063342, 2.004242370303559, 2.0045784010595367, 2.0049196653710983, 2.0052657171029451, 2.005616027623121, 2.005969973971963, 2.0063268253478275, 2.0066857276597792, 2.0070456858583157, 2.0074055437109339, 2.0077639606371527, 2.0081193851581021, 2.0084700244466638, 2.0088138093847827, 2.0091483544436164, 2.0094709115977278, 2.0097783173661545, 2.0100669319388191, 2.0103325691962075, 2.0105704162626714, 2.0107749410505633, 2.0109397860551375, 2.0110576464540224, 2.0111201303581572, 2.0111175988664902, 2.0110389834161189, 2.0108715778234481, 2.0106008024280326, 2.0102099379447429, 2.0096798270985388, 2.0089885429901755, 2.008111024604355, 2.0070186821679949, 2.0056789785185694, 2.0040549976656394, 2.0021050188364473, 1.9997821240959366, 1.9970338807896324, 1.9938021572130982, 1.9900231515095084, 1.9856277397879496, 1.9805422788231408, 1.9746900287550941, 1.9679933866739026, 1.960377133918717, 1.9517728848922835, 1.9421248651634284, 1.9313970207930584, 1.9195812506194041, 1.906706251826038, 1.8928460951121757, 1.8781272581658703, 1.8627325524352196, 1.8469003241040975, 1.8309176397904923, 1.8151069547062491, 1.7998069350408048, 1.7853494157457044, 1.7720355351056662, 1.7601145186852083, 1.7497681857599132, 1.7411031093478566, 1.7341508297755497, 1.728875065925322, 1.725183868940384, 1.7229442879029657, 1.7219973076492594, 1.7221713729811978, 1.7232934954010557, 1.7251975628198191, 1.7277299382437952, 1.7378035874935098, 1.7495761479827125, 1.7614101793417447, 1.7724812052950263, 1.7824454423210856, 1.7912169504628406, 1.7988366419552386, 1.8054007732973929, 1.8110239569183495, 1.8158210818605216, 1.819899212179495, 1.8233545785483785, 1.8262720626391502, 1.8287258188668545, 1.8307803438714056, 1.8324916554554409, 1.8339084255134663, 1.8350730046027826, 1.8360223214612454, 1.8367886615624336, 1.8374003368097631, 1.8378822601860265, 1.8382564380516508, 1.8385423906414589, 1.8387575090628094, 1.8389173551678915, 1.8390359092065953, 1.8391257691691447, 1.8391983051375385, 1.8392637716978859, 1.8393313814407195, 1.839409342723439, 1.8395048651352177, 1.8396241364468719, 1.8397722752115802, 1.8399532635722176, 1.8401698651902529, 1.8404235334965611, 1.8407143156297079, 1.8410407574229137, 1.8413998145847943, 1.8417867747568304, 1.8421951944113393, 1.8426168535873213, 1.8430417302896775, 1.8434579950679619, 1.8438520249367714, 1.8442084345077501, 1.8445101210840709, 1.8447383196218246, 1.8448726629702479, 1.8448912427162321, 1.8447706663019945, 1.8444861068592491, 1.8440113433954031, 1.8433187905689636, 1.8423795193101122, 1.8411632720221933, 1.8396384791255711, 1.83777228740861, 1.8355306152002051, 1.8328782549539497, 1.8297790505868783, 1.8261961848840811, 1.8220926212767097, 1.8174317537253395, 1.8121783270241638, 1.8062996953152199, 1.7997674853152652, 1.792559717370197, 1.7846634049215224, 1.7760775932607664, 1.7668167045736924, 1.7569139263313178, 1.7464242235801186, 1.7354264012581373, 1.7240235439183034, 1.7123411933887542, 1.7005228702353106, 1.6887230474571264, 1.6770984017249362, 1.6657989276209098, 1.654961015614522, 1.6447045481784688, 1.6351352631908129, 1.6263521290094036, 1.6184576316742423, 1.6115672715206646, 1.6058138367382848, 1.601342660365487, 1.5982962408502006, 1.596789958084831, 1.5968841578206905, 1.5985601683845772, 1.6017075840988073, 1.6061271234671342, 1.6115486735033087, 1.6176597917621898, 1.6241377135309587, 1.6306783340885778, 1.6370179424096629, 1.6429463278237935, 1.6483121553450995, 1.653022731466117, 1.6570405398440542, 1.6603785610487389, 1.6630957572368565, 1.6652934414514815, 1.6671126751782572, 1.6687323734793416, 1.6703674353517031, 1.6722659532331323, 1.674704414125078, 1.6779798451295664, 1.6823981539275117, 1.688258506488719, 1.6958343712653345, 1.705352486691172, 1.7169707844419018, 1.7307542748483382, 1.746643325273862, 1.7644022997093294, 1.7835327114155057, 1.803145639732519, 1.8218313384559057, 1.8376439932611868, 1.8483767324396749, 1.852195519072271, 1.8496354851344181, 1.8422866623967642, 1.831034822338875, 1.8170589685236278, 1.8015519298728135, 1.7855292556403606, 1.7697540913208534, 1.7547470376352874, 1.7408349649057919, 1.7282051414896811, 1.7169489232693855, 1.7070917623318718, 1.698612100618857, 1.6914531172752596, 1.6855306745631782, 1.6807396222269422, 1.6769595502435788, 1.6740603413574293, 1.6719074681522266, 1.6703668245865939, 1.6693088841358024, 1.6686120552920449, 1.6681652033740637, 1.6678693922105112, 1.6676389558488323, 1.6674020369516795, 1.6671007296281852, 1.6666909472537179, 1.6661421074982812, 1.665436693320093, 1.6645697147630778, 1.6635480656828439, 1.662389745077745, 1.6611228973232808, 1.6597846218656784, 1.6584195128110348, 1.6570779130532569, 1.6558139046437621, 1.654683102613745, 1.6537403658956331, 1.6530375765185563, 1.652621656657562, 1.6525329845664385, 1.6528043322805681, 1.6534603845454996, 1.6545178207752425, 1.6559858654113648, 1.6578671527199456, 1.6601587219475795, 1.6628529631771969, 1.6659383706843467, 1.6694000199186421, 1.673219753209076, 1.677376123887292, 1.6818441968490807, 1.6865953279983066, 1.6915970432074956, 1.696813112283899, 1.7022038720104296, 1.7077268040397706, 1.7133373278468025, 1.7189897338422755, 1.7246381616642483, 1.7302375244535393, 1.7357442892292778, 1.7411170418680511, 1.746316787541131, 1.751306959320778, 1.7560531263100985, 1.7605224080384485, 1.7646826179272366, 1.7685011859328692, 1.7719439721898091, 1.7749742282731682, 1.7775522904537846, 1.7796372958897275, 1.7811936422420129, 1.7822075050123269, 1.7827223809619825, 1.7829039936450946, 1.7831305690150479, 1.7840471830186679, 1.786427941273272, 1.7907329838266117, 1.7966563251252465, 1.8032404822101371, 1.8094983676665033, 1.8148606741359734, 1.8191802749365995, 1.8225420816822224, 1.8251049327322806, 1.8270234087636625, 1.8284221885012115, 1.8293937740292912, 1.8300037760404504, 1.8302972959768895, 1.8303043609609719, 1.8300440758385428, 1.8295276999676986, 1.8287609710502362, 1.8277459834250851, 1.8264828927354664, 1.8249716975013146, 1.8232143484456542, 1.821217455107456, 1.8189958848288326, 1.8165775574183598, 1.8140096827417951, 1.8113664849281013, 1.8087579761675849, 1.8063384240938605, 1.8043116925572245, 1.8029287944800017, 1.8024715911720817, 1.8032173576970878, 1.8053841358526992, 1.8090670610685449, 1.8141871736048663, 1.8204776039136088, 1.8275200337756119, 1.8348209762849816, 1.8418984264649978, 1.8483483075073968, 1.853875205922026, 1.8582900471386288, 1.8614877246153636, 1.8634186153122563, 1.8640637401374098], [1.7804650419764454, 1.7792647516539195, 1.7748766869531829, 1.7658048483742652, 1.7514406424719065, 1.7327646671717201, 1.7118296215204358, 1.6908369628491948, 1.671510634828153, 1.6548978231409466, 1.6414328799896438, 1.6310961893311444, 1.6235769274056453, 1.6184058617202361, 1.6150514151795605, 1.6129824581476768, 1.61170451925744, 1.6107765942618522, 1.609815039968254, 1.6084898538546044, 1.6065173889467697, 1.6036525281688256, 1.5996827179868816, 1.594426136616695, 1.5877367123427875, 1.579519753298126, 1.5697635388469819, 1.5585939168692029, 1.5463592919927751, 1.5337487075618916, 1.5219288105537554, 1.5126468226456766, 1.5081856397033078, 1.5110116726708611, 1.5230287287109374, 1.5446383533755161, 1.5741654418957114, 1.6081792217265956, 1.6426167071431834, 1.6739943994751065, 1.7000635005976645, 1.7198200697731714, 1.7331697884138324, 1.7405564940196216, 1.7427035654815333, 1.7404846265975411, 1.7348804732191152, 1.7269664531824913, 1.7178831315195802, 1.7087639199765099, 1.7006231588003546, 1.6942371518792056, 1.6900626958527682, 1.6882235524313784, 1.6885643928535548, 1.6907451434698686, 1.6943409104599192, 1.6989221508027335, 1.7041053170334302, 1.7095763072145282, 1.7150945807265541, 1.7204862358879627, 1.7256323766829937, 1.7304566948671067, 1.7349142714789068, 1.7389823560367645, 1.7426531957054758, 1.745928672202175, 1.7488164023311457, 1.7513269621187906, 1.7534719422092611, 1.7552626010073902, 1.7567089372393407, 1.7578190498432249, 1.7585986897213912, 1.7590509362083249, 1.7591759531956415, 1.758970798018787, 1.7584292729549622, 1.7575418274574495, 1.7562955429821754, 1.7546742672623443, 1.7526590203931356, 1.7502288863320714, 1.7473627559067706, 1.7440425438780967, 1.7402589335892171, 1.736021420506255, 1.7313755948923468, 1.7264324180865145, 1.7214167780865417, 1.7167452471810798, 1.7131427701913149, 1.7117958368748507, 1.7144941002251892, 1.7236022098526129, 1.7415441565852854, 1.7695048763964605, 1.8057543006699099, 1.8452073505556623, 1.8815096991687692, 1.9101599494342363, 1.9298763166414472, 1.9417558814919571, 1.9477940742971203, 1.9499070939392991, 1.9495720367386746, 1.9478098254438554, 1.9452841940375916, 1.9424104219406746, 1.9394408935748828, 1.9365245487387923, 1.9337458606652689, 1.9311496655556122, 1.9287567548693147, 1.9265735987047465, 1.9245983866096803, 1.9228247688225708, 1.9212441630394954, 1.9198471660059699, 1.9186244064119415, 1.9175670496575679, 1.9166670867777083, 1.9159174909638066, 1.9153122944862655, 1.9148466195009999, 1.9145166839659411, 1.9143197960560341, 1.9142543453941905, 1.9142624170396234, 1.9142866461688224, 1.9143270754070083, 1.9143837759510467, 1.9144568478017299, 1.9145464200888243, 1.9146526514887561, 1.9147757307345823, 1.9149158772176622, 1.9150733416800083, 1.9152484069959077, 1.9154413890404025, 1.9156526376415899, 1.9158825376119852, 1.9161315098529035, 1.9164000125232943, 1.9166885422617361, 1.9169976354469027, 1.9173278694768889, 1.9176798640423318, 1.9180542823608331, 1.9184518323309945, 1.9188732675528528, 1.9193193881469524, 1.9197910412859365, 1.920289121329382, 1.9208145694237384, 1.9213683723922477, 1.9219515606936726, 1.92256520516995, 1.9232104122286873, 1.9238883170123622, 1.924600073986519, 1.9253468442266273, 1.926129778489035, 1.9269499949024051, 1.9278085497969308, 1.9287063997785663, 1.9296443526268952, 1.9306230039132279, 1.9316426553521922, 1.9327032097552994, 1.9338040359671911, 1.9349437952301818, 1.9361202179020911, 1.9373298161694914, 1.9385675141242316, 1.9398261710179276, 1.9410959663207317, 1.9423636059649145, 1.943611297380859, 1.9448154261781818, 1.9459448492879321, 1.9469586982140983, 1.9478035629208945, 1.9484099050809807, 1.9486875362230427, 1.9485200063553447, 1.9477578092042203, 1.9462104693656255, 1.9436379138622513, 1.9397421664844168, 1.9341614977132167, 1.9264708730149041, 1.9161948839418539, 1.9028418779884801, 1.8859692836138016, 1.8652871596958589, 1.8407955305589738, 1.8129284436116091, 1.7826492932801838, 1.7514271794429654, 1.7210497091690036, 1.6933006482156738, 1.6696121321350543, 1.6508257534365967, 1.6371387210538892, 1.6282160467145066, 1.623386943745118, 1.6218409483698173, 1.6227743090789746, 1.6254751474195048, 1.6293584511102281, 1.6339687114553527, 1.6389657960598689, 1.6441046140745295, 1.6492145193461165, 1.6541811975152754, 1.6589319103924329, 1.6634240270905467, 1.6676363812922674, 1.6715628952653634, 1.6752079462000056, 1.6785830342537025, 1.6817044032212076, 1.6845913467368796, 1.6872650000581086, 1.6897474698723436, 1.6920611943808346, 1.6942284557827414, 1.6962709896619916, 1.6982096526846804, 1.7000641230008373, 1.701852617941243, 1.7035916217729419, 1.7052956228995888, 1.7069768652009363, 1.7086451222652062, 1.7103075060327642, 1.7119683227461102, 1.713628989012947, 1.7152880192317581, 1.7169410927164233, 1.7185812048389268, 1.720198901770867, 1.7217825934257123, 1.7233189345033137, 1.7247932596004776, 1.7261900555573964, 1.7274934527812811, 1.7286877172625639, 1.7297577262330202, 1.7306894126208929, 1.7314701662593717, 1.7320891828008362, 1.7325377541186593, 1.7328094963647696, 1.7329005136372797, 1.7328094963647664, 1.7325377541186584, 1.732089182800838, 1.731470166259369, 1.7306894126208965, 1.7297577262330188, 1.7286877172625681, 1.7274934527812826, 1.7261900555573972, 1.7247932596004789, 1.7233189345033153, 1.7217825934257129, 1.720198901770867, 1.7185812048389273, 1.716941092716425, 1.7152880192317581, 1.7136289890129452, 1.7119683227461067, 1.7103075060327591, 1.7086451222652053, 1.7069768652009372, 1.7052956228995928, 1.7035916217729423, 1.701852617941241, 1.7000641230008333, 1.6982096526846808, 1.696270989661997, 1.6942284557827303, 1.6920611943808304, 1.6897474698723383, 1.687265000058104, 1.6845913467368814, 1.6817044032212101, 1.6785830342536951, 1.6752079462000053, 1.6715628952653732, 1.6676363812922639, 1.6634240270905443, 1.6589319103924418, 1.6541811975152805, 1.649214519346115, 1.6441046140745326, 1.6389657960598647, 1.6339687114553458, 1.6293584511102297, 1.6254751474194997, 1.6227743090789781, 1.6218409483698148, 1.6233869437451172, 1.6282160467144962, 1.6371387210538855, 1.6508257534366129, 1.6696121321350663, 1.6933006482156363, 1.7210497091689925, 1.751427179442979, 1.7826492932802289, 1.812928443611638, 1.840795530558984, 1.8652871596958618, 1.8859692836138164, 1.9028418779884839, 1.916194883941851, 1.9264708730149054, 1.9341614977132198, 1.9397421664844143, 1.9436379138622533, 1.9462104693656279, 1.9477578092042176, 1.9485200063553458, 1.9486875362230398, 1.9484099050809809, 1.9478035629208919, 1.9469586982141027, 1.9459448492879323, 1.9448154261781818, 1.9436112973808537, 1.9423636059649145, 1.9410959663207292, 1.9398261710179276, 1.9385675141242338, 1.9373298161694881, 1.936120217902084, 1.9349437952301787, 1.9338040359671922, 1.932703209755301, 1.9316426553521895, 1.9306230039132284, 1.9296443526268909, 1.928706399778565, 1.9278085497969308, 1.9269499949024036, 1.926129778489031, 1.9253468442266242, 1.9246000739865203, 1.9238883170123622, 1.9232104122286811, 1.9225652051699502, 1.9219515606936692, 1.9213683723922457, 1.9208145694237384, 1.9202891213293845, 1.9197910412859325, 1.9193193881469501, 1.9188732675528486, 1.9184518323309925, 1.9180542823608326, 1.9176798640423298, 1.9173278694768885, 1.916997635446906, 1.9166885422617377, 1.9164000125232938, 1.9161315098529061, 1.9158825376119843, 1.915652637641587, 1.9154413890404018, 1.9152484069959077, 1.9150733416800094, 1.91491587721766, 1.9147757307345814, 1.9146526514887539, 1.9145464200888227, 1.9144568478017288, 1.9143837759510465, 1.9143270754070076, 1.914286646168823, 1.9142624170396203, 1.9142543453941878, 1.9142583808475102, 1.9142704898684177, 1.9142906804421187, 1.9143189658852011, 1.9143553648574361, 1.914399901378284, 1.9144526048480568, 1.9145135100736159, 1.9145826572985576, 1.914660092237825, 1.9147458661165717, 1.9148400357131445, 1.9149426634060127, 1.9150538172244838, 1.9151735709029074, 1.9153020039380952, 1.9154392016496582, 1.915585255242922, 1.9157402618738475, 1.9159043247155907, 1.9160775530259941, 1.9162600622154722, 1.9164519739142887, 1.9166534160385524, 1.9168645228537378, 1.9170854350344784, 1.9173162997194675, 1.9175572705596065, 1.9178085077577336, 1.9180701780977547, 1.9183424549608075, 1.9186255183255569, 1.9189195547495919, 1.9192247573281311, 1.9195413256258163, 1.919869465576848, 1.9202093893478456, 1.9205613151570085, 1.9209254670423144, 1.9213020745703271, 1.921691372475848, 1.9220936002213762, 1.9225090014634683, 1.9229378234113337, 1.9233803160606155, 1.9238367312828435, 1.9243073217479509, 1.9247923396539148, 1.9252920352333882, 1.9258066550027131, 1.9263364397131637, 1.926881621958056, 1.9274424233819754, 1.9280190514299487, 1.9286116955643109, 1.929220522865571, 1.9298456729199998, 1.9304872518807468, 1.9311453255709878, 1.9318199114757784, 1.9325109694440328, 1.9332183908923077, 1.9339419862671738, 1.9346814704821003, 1.9354364459968749, 1.9362063831510326, 1.9369905972969967, 1.937788222200844, 1.9385981790878122, 1.9394191406031949, 1.9402494888346222, 1.9410872663965397, 1.9419301194081726, 1.9427752310001145, 1.9436192437578084, 1.9444581692500538, 1.9452872824942931, 1.9461009988769526, 1.9468927306767141, 1.947654719935703, 1.9483778439980541, 1.9490513896047461, 1.9496627910296773, 1.9501973274134765, 1.9506377742761007, 1.9509640042814673, 1.9511525328580355, 1.951176005490465, 1.9510026257344961, 1.9505955267419697, 1.9499120949521855, 1.9489032634386181, 1.947512805234082, 1.945676675018037, 1.9433224721566027, 1.9403691304241673, 1.9367269804148965, 1.9322983789322463, 1.9269791522292565, 1.9206611493064996, 1.9132362336789717, 1.9046020349699657, 1.8946697044125906, 1.8833737338250509, 1.870683571817388, 1.8566162904786334, 1.8412489538913688, 1.8247287239824543, 1.8072783031241972, 1.789194309075123, 1.7708368326896597, 1.7526098109384747, 1.7349337477902365, 1.7182142285374191, 1.7028109487557022, 1.6890121038040442, 1.6770178491991234, 1.6669345195578527, 1.6587790672676548, 1.6524914259526877, 1.6479516117570023, 1.6449983712067255, 1.6434468154503994, 1.6431033945337434, 1.6437774602965514, 1.6452893633688443, 1.6474754712116519, 1.6501907052252602, 1.6603450126954069, 1.6717712571913166, 1.6831063897719525, 1.6936848596496716, 1.7032355374807424, 1.7116945212937984, 1.7190992512029988, 1.72553164671904, 1.7310887974218943, 1.7358685593058796, 1.7399630055086206, 1.7434559090873063, 1.7464222206896867, 1.7489284712161803, 1.7510335483427175, 1.7527895720927471, 1.7542427405611583, 1.7554340927480059, 1.756400173690166, 1.7571736051545706, 1.7577835725347704, 1.7582562404274009, 1.7586151084883594, 1.7588813171442121, 1.7590739104220274, 1.7592100610183601, 1.7593052609764102, 1.7593734800600274, 1.7594272931008419, 1.7594779772017188, 1.7595355796369596, 1.7596089575219418, 1.7597057907622491, 1.7598325703690607, 1.7599945648861055, 1.7601957683577847, 1.7604388339238977, 1.7607249976967538, 1.7610539980043427, 1.7614239953109323, 1.7618314981049017, 1.7622712997334937, 1.7627364305501079, 1.7632181288304063, 1.7637058327507336, 1.7641871943786032, 1.7646481151994762, 1.7650728013132873, 1.7654438351998978, 1.7657422599857264, 1.7659476715343967, 1.7660383134902424, 1.7659911706502409, 1.7657820567239406, 1.7653856936394563, 1.7647757810419873, 1.7639250564948541, 1.7628053491455908, 1.7613876323076891, 1.7596420836162587, 1.7575381652549671, 1.7550447413396786, 1.7521302549720263, 1.7487629937428724, 1.7449114793954137, 1.7405450244657947, 1.7356345050315238, 1.7301534025242564, 1.7240791662366615, 1.7173949378248472, 1.7100916547452767, 1.7021705054304435, 1.693645640032738, 1.6845469450753932, 1.6749225743935277, 1.6648408115540201, 1.6543907574888936, 1.6436813456622303, 1.6328383461551779, 1.6219993697984807, 1.611307404950725, 1.6009039988662994, 1.5909236199162571, 1.5814907486710517, 1.5727206567323693, 1.5647236540053784, 1.5576111048761418, 1.5515002540886094, 1.5465144606696122, 1.5427762458451137, 1.5403926450342709, 1.5394351809824742, 1.5399193099673993, 1.5417892714536123, 1.5449132061941691, 1.5490904812917377, 1.554069587381814, 1.5595722495589064, 1.5653184713943371, 1.5710481012199442, 1.5765364180638637, 1.5816032474051092, 1.5861165899620131, 1.5899924735482267, 1.5931928367217838, 1.5957229698140063, 1.597629600001726, 1.5990002544650828, 1.5999641261745869, 1.6006942982640502, 1.6014108243616849, 1.6023837792061058, 1.6039349667223775, 1.6064365063697112, 1.6103040348990063, 1.6159817561564938, 1.6239159229811644, 1.6345121774887279, 1.6480699241846952, 1.6646834642103323, 1.684097953924109, 1.7055204388584042, 1.7274403322000036, 1.7476384300035668, 1.763689855670161, 1.7740668166862577, 1.7791047627184897, 1.7804650419764454, 1.779579153245227, 1.7764610063249926, 1.7701440876376402, 1.759996249648617, 1.746245209050407, 1.729887330871734, 1.712243927200813, 1.6945489458803313, 1.6777390482981047, 1.6624187382241211, 1.6489131343199463, 1.6373426939377145, 1.6276894118472636, 1.6198465925335022, 1.6136538390542221, 1.6089212116112581, 1.6054460204870757, 1.6030246264920209, 1.601460717307621, 1.6005709589824293, 1.6001886176806301, 1.6001655999382249, 1.6003732868332474, 1.6007024895529482, 1.6010628084057135, 1.6013816279245128, 1.6016029284582955, 1.6016860429888267, 1.6016044400587797, 1.6013445718076342, 1.600904791344326, 1.6002943166350114, 1.5995321991959233, 1.5986462457246475, 1.5976718400756156, 1.5966506222583419, 1.5956290003662108, 1.594656499268196, 1.5937839835188554, 1.5930618263501422, 1.5925381253813251, 1.5922570820029058, 1.5922576597162359, 1.592572614600009, 1.5932279504978897, 1.5942427990785337, 1.5956296706520676, 1.597394976656539, 1.5995396983937824, 1.6020600740344839, 1.604948196817513, 1.6081924562480014, 1.6117778018629119, 1.6156858554284736, 1.61989493305895, 1.6243800575438001, 1.6291130410450565, 1.6340627012494091, 1.6391952451784606, 1.644474820995131, 1.649864206090081, 1.6553255747600488, 1.6608212737073922, 1.6663145284549448, 1.6717700062170056, 1.6771541666709069, 1.682435336247706, 1.6875834381830164, 1.6925692931681415, 1.6973633664198513, 1.7019337670611394, 1.7062431945208276, 1.7102443685871394, 1.7138732964976513, 1.7170396424879206, 1.7196138913489709, 1.7214131396213883, 1.7221940756009229, 1.7216778537037647, 1.7196573779776163, 1.7162389681809846, 1.7121400575645322, 1.7086717962291882, 1.7070794228119854, 1.7077549610738443, 1.7101972510998087, 1.7135841416989863, 1.7172385760182425, 1.720752374666298, 1.723928303377761, 1.7266934870067696, 1.7290371234269788, 1.7309749460746553, 1.7325312493565104, 1.7337305856385044, 1.7345943459606996, 1.7351396776451506, 1.7353794764941808, 1.73532286524014, 1.734975912330174, 1.7343425208144281, 1.7334255137125114, 1.7322280043949052, 1.7307551900433302, 1.7290167518996544, 1.7270300864935291, 1.7248246141712935, 1.7224473838246723, 1.719970056934186, 1.7174970142794972, 1.7151736557162722, 1.7131928381571226, 1.7117958410443264, 1.7112626811432277, 1.7118861483015846, 1.7139264526059625, 1.7175504637346031, 1.7227702230572552, 1.7294040486671842, 1.7370816015910382, 1.7452979831294795, 1.7534992494289798, 1.7611680829972038, 1.7678826691946135, 1.7733386431021261, 1.7773405231063084, 1.7797770516784752, 1.7805944365762114], [1.8048882098754191, 1.8086894487797547, 1.8186307680070664, 1.8301568991266985, 1.8359300318419272, 1.8284482204881529, 1.8049470077324505, 1.7700244224634476, 1.7322809312050964, 1.698809119959009, 1.6728453482979007, 1.6545884172126948, 1.6427807293035117, 1.6357910431897229, 1.6321131894504191, 1.6305211688086485, 1.630073286557935, 1.6300654298415231, 1.6299758671085325, 1.6294165990383165, 1.6280951124445986, 1.6257864726029008, 1.6223147865159495, 1.6175433904365966, 1.6113739744781297, 1.6037560141184761, 1.5947091969084179, 1.584362711695513, 1.5730154651465398, 1.5612185417707654, 1.5498718291483939, 1.5403056888151128, 1.5342839963779742, 1.5338304776451932, 1.5407914570983006, 1.5561700580518618, 1.5794952320817162, 1.6086382703947144, 1.6403050745922712, 1.6709735516531747, 1.697756187525445, 1.7188241224359793, 1.733393662097088, 1.7414896553275443, 1.7436869808608289, 1.740921819463757, 1.7343724283947619, 1.7253677602842092, 1.7152829634394366, 1.7054073140348083, 1.6968041414649331, 1.6902032319450269, 1.6859605698634264, 1.6840929708115566, 1.6843659924597902, 1.6864000608432153, 1.6897648138308741, 1.6940461670195819, 1.6988842451186088, 1.7039881417878004, 1.709135678700469, 1.7141652680482675, 1.7189648085650417, 1.7234604953125259, 1.7276069363021824, 1.7313790533949962, 1.734765756663692, 1.7377651642518408, 1.7403810744944477, 1.742620406698465, 1.74449136717745, 1.7460021448319352, 1.7471599852008932, 1.7479705296473376, 1.7484373366886716, 1.7485615264503418, 1.7483415084249128, 1.7477727690316289, 1.7468477110080682, 1.7455555539925882, 1.7438823282505436, 1.7418110265235636, 1.7393220305964048, 1.7363940127164126, 1.7330056496251278, 1.7291387156467084, 1.7247835022892306, 1.7199481443770566, 1.7146744694892748, 1.7090646369219562, 1.7033252932829219, 1.6978391287379333, 1.6932761350014862, 1.6907530438467033, 1.6920239043524961, 1.6996052244708566, 1.71657157509959, 1.7455778606583394, 1.7868997743050743, 1.8365292605606378, 1.8866888814620402, 1.9295000770371686, 1.960677698824123, 1.9801371319550081, 1.9902126296442659, 1.9937685970075554, 1.9932216013285833, 1.9903015824154315, 1.9861418240536044, 1.981445528482072, 1.9766319860658945, 1.9719416344320058, 1.9675053140246517, 1.9633880203777456, 1.9596159459669671, 1.9561929976901098, 1.9531108111303253, 1.9503547813359841, 1.9479076626369227, 1.9457516877625278, 1.9438697872023334, 1.9422462645073721, 1.9408671458872404, 1.9397203384975465, 1.9387956802873818, 1.9380849325232452, 1.9375817464546403, 1.9372816233678263, 1.9371818796200002, 1.9371952430751984, 1.9372353569112262, 1.9373022916173153, 1.9373961649351141, 1.9375171422483728, 1.9376654371288298, 1.9378413120386315, 1.9380450791894388, 1.9382771015582128, 1.938537794059167, 1.9388276248709444, 1.9391471169168, 1.9394968494947289, 1.9398774600521214, 1.9402896460977748, 1.9407341672403748, 1.9412118473387516, 1.9417235767440044, 1.9422703146064535, 1.9428530912120232, 1.9434730103013564, 1.9441312513109641, 1.9448290714577452, 1.9455678075655851, 1.9463488775039464, 1.9471737810717531, 1.9480441001138527, 1.9489614975982863, 1.9499277153082657, 1.9509445697076651, 1.9520139454179664, 1.9531377855903675, 1.954318078259734, 1.9555568375144059, 1.9568560779923101, 1.9582177807974648, 1.9596438483945882, 1.9611360453476492, 1.9626959208726364, 1.9643247080153778, 1.9660231927594167, 1.9677915444128904, 1.9696290960782328, 1.9715340606971792, 1.9735031638561156, 1.9755311689439248, 1.9776102630139709, 1.979729262379301, 1.981872585067157, 1.9840189222599305, 1.9861395223283458, 1.9881959789169565, 1.9901373894509773, 1.9918967247198118, 1.9933862293710396, 1.9944916686002743, 1.99506526969773, 1.994917317112568, 1.9938066114506685, 1.991430498262228, 1.9874160550626141, 1.9813154607997099, 1.9726106681461029, 1.9607350948469653, 1.9451223130926774, 1.9252915868875526, 1.9009740324284645, 1.8722672631156403, 1.8397804786201761, 1.8047061098157888, 1.7687507979429917, 1.733899414800756, 1.7020643731388601, 1.6747408140335442, 1.6527914191335598, 1.6364165381602975, 1.6252779586145079, 1.6186954651956906, 1.6158392239215567, 1.6158743660259409, 1.6180477801161366, 1.6217269375671055, 1.6264067881586171, 1.6316991372933718, 1.6373146316951881, 1.6430433616849403, 1.6487370981780669, 1.6542943380743702, 1.6596483348650506, 1.6647578283503339, 1.6696000240027387, 1.6741653595164836, 1.6784536479502608, 1.6824712588444992, 1.6862290696541486, 1.6897409813591673, 1.6930228420777835, 1.6960916616154027, 1.6989650298751937, 1.7016606748621692, 1.7041961133805521, 1.7065883608963688, 1.7088536775304277, 1.7110073355749003, 1.7130634008317842, 1.7150345257721851, 1.7169317571396669, 1.7187643641617805, 1.7205396958996, 1.7222630773428194, 1.7239377535771903, 1.7255648897383091, 1.7271436316843563, 1.7286712286785793, 1.7301432153010508, 1.7315536458070619, 1.7328953707085708, 1.734160342880678, 1.7353399392431212, 1.7364252841058425, 1.7374075614805573, 1.738278305777714, 1.7390296629655073, 1.7396546170727258, 1.7401471795111616, 1.7405025407986343, 1.740717185708156, 1.7407889735952082, 1.7407171857081523, 1.7405025407986316, 1.740147179511164, 1.7396546170727227, 1.73902966296551, 1.7382783057777129, 1.737407561480562, 1.7364252841058445, 1.7353399392431228, 1.7341603428806793, 1.7328953707085726, 1.7315536458070619, 1.730143215301049, 1.7286712286785801, 1.727143631684358, 1.7255648897383096, 1.7239377535771865, 1.722263077342814, 1.720539695899596, 1.7187643641617802, 1.7169317571396663, 1.7150345257721886, 1.7130634008317849, 1.7110073355748978, 1.7088536775304237, 1.7065883608963681, 1.7041961133805579, 1.7016606748621579, 1.6989650298751893, 1.6960916616153987, 1.6930228420777786, 1.6897409813591697, 1.6862290696541511, 1.6824712588444921, 1.678453647950261, 1.674165359516492, 1.6696000240027351, 1.6647578283503324, 1.6596483348650597, 1.654294338074376, 1.6487370981780658, 1.643043361684942, 1.6373146316951841, 1.6316991372933642, 1.6264067881586182, 1.6217269375671, 1.6180477801161419, 1.6158743660259391, 1.615839223921556, 1.6186954651956831, 1.6252779586145047, 1.6364165381603111, 1.6527914191335709, 1.6747408140335081, 1.7020643731388492, 1.7338994148007689, 1.768750797943047, 1.8047061098158257, 1.8397804786201892, 1.8722672631156443, 1.9009740324284843, 1.9252915868875604, 1.9451223130926731, 1.9607350948469691, 1.9726106681461062, 1.9813154607997077, 1.9874160550626145, 1.9914304982622311, 1.9938066114506663, 1.9949173171125691, 1.9950652696977274, 1.9944916686002747, 1.9933862293710385, 1.9918967247198172, 1.990137389450978, 1.9881959789169545, 1.9861395223283407, 1.9840189222599296, 1.981872585067153, 1.9797292623793012, 1.9776102630139736, 1.9755311689439192, 1.9735031638561065, 1.971534060697175, 1.9696290960782339, 1.9677915444128931, 1.9660231927594145, 1.964324708015377, 1.9626959208726305, 1.9611360453476476, 1.959643848394589, 1.958217780797463, 1.9568560779923065, 1.9555568375144015, 1.9543180782597371, 1.9531377855903675, 1.9520139454179593, 1.9509445697076646, 1.9499277153082595, 1.9489614975982832, 1.9480441001138529, 1.947173781071756, 1.9463488775039419, 1.9455678075655825, 1.944829071457741, 1.9441312513109614, 1.9434730103013571, 1.9428530912120208, 1.9422703146064551, 1.9417235767440086, 1.9412118473387538, 1.9407341672403728, 1.9402896460977779, 1.9398774600521216, 1.9394968494947258, 1.9391471169168009, 1.9388276248709442, 1.9385377940591684, 1.9382771015582105, 1.9380450791894381, 1.9378413120386284, 1.9376654371288293, 1.9375171422483701, 1.9373961649351137, 1.9373022916173157, 1.9372353569112271, 1.9371952430751957, 1.9371818796199962, 1.9371885607213146, 1.9372086082404569, 1.9372420348271258, 1.9372888615778194, 1.9373491180563127, 1.9374228423222615, 1.9375100809679067, 1.9376108891627564, 1.937725330706165, 1.9378534780877121, 1.9379954125552061, 1.9381512241901164, 1.9383210119902363, 1.9385048839593177, 1.9387029572033605, 1.9389153580331437, 1.939142222072622, 1.9393836943726939, 1.9396399295296229, 1.9399110918075124, 1.9401973552639742, 1.9404989038780687, 1.9408159316792493, 1.9411486428762472, 1.9414972519841824, 1.9418619839481615, 1.9422430742614798, 1.9426407690758885, 1.9430553253012823, 1.9434870106916144, 1.9439361039134662, 1.9444028945928993, 1.9448876833358826, 1.9453907817165694, 1.9459125122269305, 1.9464532081802874, 1.9470132135601022, 1.9475928828039446, 1.9481925805112172, 1.9488126810613111, 1.9494535681267287, 1.9501156340635935, 1.9507992791588571, 1.9515049107106774, 1.9522329419144, 1.9529837905225913, 1.9537578772422819, 1.9545556238270558, 1.9553774508146207, 1.9562237748528317, 1.9570950055478984, 1.9579915417578351, 1.9589137672417898, 1.9598620455613647, 1.9608367141129706, 1.9618380771504929, 1.9628663976342684, 1.9639218877150055, 1.9650046976296114, 1.9661149027482963, 1.9672524884685221, 1.9684173325999819, 1.9696091848242965, 1.9708276427424658, 1.9720721239400234, 1.9733418334024848, 1.9746357254998907, 1.9759524596259204, 1.9772903484215356, 1.9786472973321512, 1.9800207340369609, 1.9814075260464015, 1.9828038844842224, 1.98420525175217, 1.9856061704148289, 1.9870001302400573, 1.9883793898887792, 1.9897347692749705, 1.9910554081273562, 1.9923284858055088, 1.9935388969989245, 1.9946688776359303, 1.995697575254304, 1.9966005583888728, 1.9973492604333196, 1.9979103552437896, 1.9982450648997601, 1.998308405100397, 1.998048381412159, 1.9974051609558408, 1.9963102602868148, 1.9946858124786275, 1.9924440060442867, 1.9894868262537533, 1.985706275635037, 1.9809853031148854, 1.9751997252597711, 1.9682214682935701, 1.9599234789485069, 1.9501866204766634, 1.9389087545277646, 1.9260159746553402, 1.9114755763374824, 1.895309823150831, 1.8776089537014045, 1.8585412977743099, 1.838358035832083, 1.8173902798451007, 1.7960369549964077, 1.7747434253401881, 1.7539726740098165, 1.7341726187408524, 1.7157442325801395, 1.699015131992428, 1.6842221498408902, 1.6715044983677636, 1.6609070594881465, 1.6523917018543268, 1.6458536565219481, 1.6411399128265516, 1.638067114550894, 1.6364372424810483, 1.6360501950197213, 1.6367130534366843, 1.6382462757377607, 1.6404873111798663, 1.6432922129350482, 1.6465358057735151, 1.6579079904351126, 1.6702718936583425, 1.682467124928438, 1.6939100974522896, 1.7043480201403818, 1.7137077268361474, 1.7220084920767511, 1.7293136573736991, 1.7357046057488361, 1.7412672386020498, 1.7460853088026045, 1.750237440741953, 1.7537960801738615, 1.7568274092089267, 1.7593917036069577, 1.7615438550327465, 1.7633339170830111, 1.7648076090285165, 1.7660067521787208, 1.7669696354407494, 1.7677313172821982, 1.7683238755740023, 1.7687766173793862, 1.7691162593009371, 1.7693670865475442, 1.7695510961358938, 1.7696881270625719, 1.7697959781619954, 1.7698905128498958, 1.7699857490807251, 1.7700939325802576, 1.7702255916618772, 1.7703895725833561, 1.7705930553280032, 1.7708415507839097, 1.7711388814380111, 1.7714871487997053, 1.7718866917307126, 1.7723360406033399, 1.7728318726662384, 1.7733689741104299, 1.7739402140625313, 1.7745365350814604, 1.7751469637266899, 1.7757586434658232, 1.7763568906977678, 1.776925273113056, 1.7774457081372637, 1.7778985779472793, 1.7782628566325955, 1.7785162445811993, 1.7786353051447708, 1.7785955990822022, 1.7783718131617139, 1.7779378805688064, 1.7772670923700593, 1.7763322011866367, 1.7751055204339186, 1.7735590250147704, 1.7716644622748654, 1.7693934854138316, 1.7667178254579448, 1.7636095223502066, 1.7600412406050479, 1.7559867000303129, 1.7514212566786662, 1.7463226724839642, 1.7406721124422337, 1.7344554034953847, 1.7276645765047973, 1.7202996882918677, 1.7123708810409437, 1.7039005789112027, 1.6949256472223961, 1.6854992550440757, 1.675692104046286, 1.665592643541163, 1.6553059223462787, 1.644950871848625, 1.6346560926225226, 1.6245546058641538, 1.6147784405597609, 1.6054542008052253, 1.5967007120762964, 1.588629353724853, 1.5813467726476929, 1.574958573857512, 1.569571708845086, 1.5652930861260286, 1.5622227042567989, 1.5604412969813424, 1.5599945884851421, 1.560877972085168, 1.5630259541337703, 1.5663096926258302, 1.5705437444356125, 1.5755006136306371, 1.5809298526007216, 1.5865778821072802, 1.5922053200137252, 1.5975999401270566, 1.6025848149668405, 1.6070222999949912, 1.6108151360987326, 1.6139061399793548, 1.6162778743289554, 1.6179534995022913, 1.6189998186621735, 1.6195333971470751, 1.6197305760008387, 1.6198421838686949, 1.6202137121819828, 1.6213115004799756, 1.6237547055593553, 1.6283505454886509, 1.6361241242089832, 1.6483184442547769, 1.6663037545337298, 1.6912637602449829, 1.7234356845944581, 1.7607476896741867, 1.7974309540587219, 1.824778442690705, 1.836039605834384, 1.8319437433112264, 1.8200712038937932, 1.8091476376637599, 1.8048882098754191, 1.8077613911466817, 1.8155648915496394, 1.8257742634673741, 1.8342146131200006, 1.835939461746303, 1.827245238871531, 1.8077214083184092, 1.7804466574495306, 1.7500919153858467, 1.7207366828237882, 1.6948633382692306, 1.6734656674952038, 1.656574849230904, 1.6437395077882722, 1.6343319439344346, 1.6277084226898293, 1.6232801807546404, 1.6205378634818222, 1.6190542409431183, 1.618477922255577, 1.6185240683292128, 1.6189647486904424, 1.6196200171979216, 1.6203500779821964, 1.6210486084446345, 1.6216371782442836, 1.6220606515448723, 1.6222834407828595, 1.6222864753902797, 1.6220647505768926, 1.6216253263441738, 1.6209856543392056, 1.6201721199657928, 1.6192186999317701, 1.6181656519239627, 1.6170581740155461, 1.6159449968064361, 1.6148769002791112, 1.6139051777652007, 1.6130800978435578, 1.6124494371391764, 1.6120571685263743, 1.6119423868927385, 1.6121385373413253, 1.6126729804240172, 1.6135668906611211, 1.6148354453529068, 1.6164882282986177, 1.6185297540283936, 1.620960016181282, 1.6237749786395361, 1.6269669562205575, 1.6305248667591667, 1.6344343708457896, 1.6386779425260207, 1.6432349291567143, 1.6480816594337526, 1.6531916463414289, 1.6585359097153036, 1.6640834157816344, 1.6698016029378229, 1.6756569374636536, 1.6816154210190972, 1.6876429522796701, 1.6937054235442501, 1.6997684020045061, 1.7057961929484722, 1.7117499912664202, 1.7175846728670978, 1.7232435223908624, 1.7286497897424313, 1.7336933699654407, 1.7382101323417445, 1.7419508028130506, 1.7445370931271327, 1.7454087916776468, 1.743786064743049, 1.7387216287885536, 1.7293969502078719, 1.7158171135906606, 1.6996753679953205, 1.6843766838436434, 1.6734025310606833, 1.6682995327884855, 1.6683716862637281, 1.6718732612389688, 1.6771392596591188, 1.6830139861699056, 1.6888255115351005, 1.6942315287290368, 1.6990823550357683, 1.7033306939440622, 1.7069792775999471, 1.7100525054858409, 1.7125818120295646, 1.7145985011379121, 1.7161305294897751, 1.7172013458267725, 1.7178298008332891, 1.7180306379856702, 1.7178153479650715, 1.717193324043895, 1.7161733510036095, 1.714765525898192, 1.712983759361705, 1.7108490436160646, 1.7083936889423637, 1.7056667006775545, 1.7027403504631597, 1.699717720843811, 1.6967404835730202, 1.6939953301100215, 1.6917163162576592, 1.6901791562319606, 1.6896828724034094, 1.6905153266307933, 1.6929032548841372, 1.6969546374200675, 1.7026091137740675, 1.709615521165859, 1.7175496575301916, 1.725870623344496, 1.7339983792228311, 1.7413881916470604, 1.7475829667149805, 1.7522371104492203, 1.7551173119712578, 1.7560915236869159], [1.8164673053304647, 1.8190161887198082, 1.8265109197921454, 1.8383616518441195, 1.8530871545289413, 1.8674449742041299, 1.8753367779436652, 1.867928287175519, 1.8381449083015595, 1.7891551478877359, 1.7355770421361665, 1.691756631544354, 1.6627446343493815, 1.6464188148163432, 1.6386213925854334, 1.6357855240222479, 1.6354644260321853, 1.6361205927778899, 1.6368188888431947, 1.6369934975690328, 1.6362981337008917, 1.6345160831138943, 1.6315086488009816, 1.6271880439463129, 1.6215069205294426, 1.6144609322058319, 1.6061035209916728, 1.5965738611519835, 1.58613946437332, 1.5752534927100823, 1.5646215515775508, 1.5552611641240612, 1.5485179511787821, 1.5459808139267992, 1.549233518930595, 1.5594263598475195, 1.5767695707404401, 1.6001862094467911, 1.6273747504948144, 1.6553288485657025, 1.6810762938163619, 1.7022922458010019, 1.7175897496105823, 1.7265139529332967, 1.7293789949039144, 1.7270670332755538, 1.7208385952591323, 1.7121524587992254, 1.7024834262207749, 1.6931453117866437, 1.6851483167381782, 1.6791230543572455, 1.6753240521357278, 1.6736980090892402, 1.6739845686003823, 1.6758171211108692, 1.6788027892048292, 1.6825745940178316, 1.6868184940935693, 1.6912821823589941, 1.6957727930854871, 1.700149106756808, 1.7043119128039994, 1.7081945893943105, 1.7117548621713694, 1.7149680476161588, 1.7178217423238746, 1.7203117682788742, 1.7224391403668169, 1.7242078315754841, 1.7256231424115944, 1.7266905176569372, 1.7274146880925298, 1.7277990443867925, 1.7278451745446373, 1.7275525158608365, 1.7269180884286082, 1.7259362913970897, 1.7245987570813135, 1.722894273869412, 1.720808809616988, 1.7183256972866729, 1.7154260909093744, 1.7120898737283732, 1.7082973200955178, 1.704032008911426, 1.6992858097427239, 1.6940672958353968, 1.6884158117631956, 1.6824248299752527, 1.6762804082481033, 1.6703236521048017, 1.665149597621191, 1.6617560686954309, 1.6617455108742976, 1.6675365873260184, 1.6824164019325725, 1.7100346130680499, 1.7527954340652299, 1.8092223150590372, 1.8722489883566029, 1.931345424055029, 1.9778478504668551, 2.0085903933428861, 2.0252270468882392, 2.0314823440560867, 2.0310409274412868, 2.0267132457335473, 2.020380603318094, 2.0132090419723894, 2.0058831553545531, 1.9987850062536476, 1.9921140025747412, 1.9859623187499558, 1.9803608259167962, 1.9753065544934676, 1.9707789141564342, 1.9667491649609736, 1.9631858665842667, 1.9600579425282685, 1.957336337946354, 1.9549948559582493, 1.9530105222509557, 1.9513636873052636, 1.9500379914569645, 1.9490202674858752, 1.9483004250425959, 1.947871342937155, 1.9477287842991027, 1.947748713482006, 1.9478085376166587, 1.9479083665896799, 1.9480483839746443, 1.9482288476768792, 1.9484500908377045, 1.9487125229997171, 1.9490166315347301, 1.9493629833360686, 1.9497522267765763, 1.9501850939332894, 1.9506624030783639, 1.9511850614348061, 1.9517540681925718, 1.9523705177782882, 1.9530356033667298, 1.9537506206169499, 1.9545169716083193, 1.9553361689415856, 1.9562098399575432, 1.9571397310090619, 1.9581277117011315, 1.9591757789859194, 1.9602860609650592, 1.961460820206371, 1.9627024563247264, 1.9640135075036431, 1.9653966505399536, 1.9668546988739422, 1.9683905979130913, 1.9700074167599864, 1.9717083352010008, 1.973496624485837, 1.9753756200067811, 1.9773486834434599, 1.9794191512363273, 1.981590265342023, 1.9838650810438749, 1.9862463450570205, 1.988736335173922, 1.9913366500993299, 1.9940479347434925, 1.9968695218411494, 1.9997989650427646, 2.0028314312056725, 2.0059589100377688, 2.0091691869743444, 2.012444509613414, 2.0157598586438255, 2.0190807106480815, 2.0223601527241009, 2.0255351791502276, 2.0285219725464563, 2.0312099552958656, 2.033454409194646, 2.0350675348048854, 2.03580801228473, 2.0353695214627323, 2.0333694108677651, 2.0293399382051467, 2.0227263883214701, 2.0128989002461606, 1.9991875301912643, 1.9809515222030147, 1.957691130918831, 1.9291997321261714, 1.8957327657953023, 1.8581422058921346, 1.817906283715947, 1.7769975897354793, 1.7375903699803956, 1.7016869093493745, 1.6707905759654227, 1.6457309744924136, 1.6266703357957011, 1.6132445591777322, 1.6047596203330998, 1.6003759825210098, 1.5992456505519632, 1.6005953196903546, 1.6037652267370999, 1.6082181413939334, 1.6135314134906118, 1.6193813061380016, 1.625525272158904, 1.6317851753349932, 1.6380327620946222, 1.6441777274535225, 1.6501582376104549, 1.6559335725876134, 1.6614785041323183, 1.6667790477740492, 1.6718292797209022, 1.6766289668857881, 1.6811818115914865, 1.6854941576834146, 1.6895740413036897, 1.6934304982524506, 1.6970730619519363, 1.7005114028393409, 1.7037550727034234, 1.7068133269993822, 1.7096950052799966, 1.7124084551482497, 1.7149614890027587, 1.7173613656454858, 1.719614790799719, 1.7217279319430081, 1.7237064437537244, 1.7255555010370527, 1.7272798363553068, 1.7288837798404662, 1.7303712988975448, 1.7317460357758334, 1.7330113413242414, 1.7341703036614537, 1.7352257709620182, 1.7361803680477301, 1.7370365069356888, 1.7377963918882668, 1.7384620198051983, 1.7390351769802153, 1.7395174333154764, 1.7399101350624369, 1.7402143970611261, 1.7404310953081099, 1.7405608605202632, 1.7406040731962464, 1.7405608605202585, 1.7404310953081055, 1.740214397061129, 1.7399101350624331, 1.7395174333154777, 1.7390351769802126, 1.7384620198052017, 1.7377963918882688, 1.737036506935691, 1.7361803680477317, 1.735225770962022, 1.7341703036614526, 1.7330113413242381, 1.7317460357758341, 1.7303712988975464, 1.7288837798404679, 1.7272798363553017, 1.7255555010370478, 1.7237064437537222, 1.7217279319430072, 1.7196147907997179, 1.7173613656454891, 1.7149614890027589, 1.7124084551482477, 1.7096950052799926, 1.7068133269993802, 1.7037550727034305, 1.7005114028393293, 1.697073061951931, 1.693430498252448, 1.6895740413036844, 1.6854941576834177, 1.6811818115914898, 1.6766289668857817, 1.6718292797209029, 1.6667790477740569, 1.6614785041323152, 1.6559335725876134, 1.6501582376104635, 1.6441777274535285, 1.6380327620946222, 1.6317851753349941, 1.6255252721589015, 1.6193813061379947, 1.6135314134906125, 1.6082181413939278, 1.6037652267371052, 1.6005953196903537, 1.5992456505519621, 1.6003759825210044, 1.6047596203330992, 1.6132445591777429, 1.6266703357957104, 1.6457309744923816, 1.6707905759654116, 1.7016869093493887, 1.7375903699804556, 1.7769975897355219, 1.8179062837159639, 1.8581422058921382, 1.8957327657953307, 1.9291997321261849, 1.9576911309188247, 1.9809515222030212, 1.9991875301912665, 2.0128989002461579, 2.0227263883214683, 2.029339938205152, 2.0333694108677647, 2.0353695214627323, 2.0358080122847282, 2.0350675348048846, 2.0334544091946452, 2.0312099552958727, 2.0285219725464581, 2.0255351791502254, 2.0223601527240942, 2.0190807106480801, 2.015759858643821, 2.0124445096134136, 2.0091691869743484, 2.0059589100377608, 2.002831431205661, 1.9997989650427581, 1.9968695218411512, 1.9940479347434958, 1.9913366500993273, 1.9887363351739196, 1.9862463450570131, 1.9838650810438723, 1.9815902653420228, 1.9794191512363244, 1.9773486834434542, 1.9753756200067756, 1.9734966244858416, 1.9717083352010005, 1.9700074167599773, 1.9683905979130902, 1.9668546988739348, 1.9653966505399503, 1.9640135075036431, 1.9627024563247284, 1.9614608202063653, 1.9602860609650561, 1.9591757789859139, 1.9581277117011286, 1.9571397310090648, 1.9562098399575409, 1.9553361689415896, 1.9545169716083244, 1.9537506206169528, 1.9530356033667275, 1.9523705177782928, 1.9517540681925756, 1.9511850614348023, 1.9506624030783668, 1.9501850939332896, 1.9497522267765774, 1.9493629833360671, 1.9490166315347288, 1.9487125229997138, 1.9484500908377045, 1.9482288476768754, 1.9480483839746439, 1.9479083665896808, 1.9478085376166625, 1.9477487134820037, 1.9477287842990956, 1.9477387479070161, 1.9477686452137182, 1.9478184956751929, 1.9478883317418134, 1.9479781988939104, 1.9480881556915202, 1.9482182738382492, 1.9483686382591763, 1.9485393471926928, 1.9487305122961518, 1.9489422587651772, 1.9491747254663974, 1.9494280650833884, 1.9497024442754938, 1.9499980438491911, 1.9503150589414895, 1.9506536992148673, 1.9510141890631456, 1.9513967678274033, 1.9518016900210726, 1.9522292255631766, 1.952679660018358, 1.9531532948420647, 1.9536504476293488, 1.9541714523649045, 1.9547166596719243, 1.9552864370569756, 1.9558811691473463, 1.9565012579169223, 1.9571471228959263, 1.9578192013592017, 1.9585179484865507, 1.9592438374879511, 1.9599973596850171, 1.9607790245387897, 1.9615893596123355, 1.9624289104547896, 1.9632982403911676, 1.964197930200001, 1.9651285776578067, 1.966090796925881, 1.9670852177513871, 1.9681124844495852, 1.9691732546292964, 1.9702681976170078, 1.9713979925282472, 1.9725633259260718, 1.9737648889970087, 1.9750033741631088, 1.9762794710355891, 1.9775938615997557, 1.9789472145026918, 1.9803401782937364, 1.9817733734427949, 1.9832473829319803, 1.9847627411817814, 1.9863199210325595, 1.9879193184545028, 1.989561234603932, 1.9912458547782033, 1.9929732237449931, 1.9947432168318651, 1.9965555060564733, 1.9984095204544619, 2.0003043996174927, 2.0022389392851472, 2.0042115276377284, 2.0062200707085429, 2.0082619050694714, 2.0103336956391922, 2.0124313161143266, 2.0145497091283509, 2.0166827227984836, 2.0188229198297032, 2.0209613548124272, 2.0230873147901698, 2.0251880176088615, 2.027248262031069, 2.0292500231688626, 2.031171986554491, 2.0329890142715459, 2.0346715372157997, 2.0361848690369961, 2.0374884400336288, 2.0385349537788904, 2.0392694762680112, 2.0396284778140572, 2.0395388629020363, 2.038917044026737, 2.0376681435178439, 2.0356854436134633, 2.0328502500129124, 2.0290323867923696, 2.0240915972549289, 2.0178801781904916, 2.0102472103617925, 2.0010447445575985, 1.9901362312941058, 1.9774073092369466, 1.9627787614614023, 1.9462209958846493, 1.9277688308602239, 1.9075347534380753, 1.8857183220439373, 1.862609218514083, 1.8385818255603059, 1.8140802264256157, 1.7895941082718216, 1.765627872607896, 1.7426668107027461, 1.7211449853381589, 1.701419185086851, 1.6837520519947535, 1.6683056285707574, 1.6551446819731068, 1.6442477277582266, 1.635522947144104, 1.6288261626021769, 1.6239785135243938, 1.6207821972314167, 1.6190333836607775, 1.6185320293902532, 1.6190887481818881, 1.6205291436999534, 1.6226961119589642, 1.6254506230473469, 1.6286714362144514, 1.6322541216384729, 1.6443510144922628, 1.6572456468293573, 1.6699533426987792, 1.6819575410283738, 1.6930160607027309, 1.7030414920635282, 1.7120306272829351, 1.7200239820230143, 1.7270830894025822, 1.7332780645746839, 1.7386810136845561, 1.7433627165343235, 1.7473911028746385, 1.7508306760347503, 1.7537424047186747, 1.756183816716685, 1.7582091522176067, 1.7598695067516634, 1.7612129358400634, 1.7622845172627257, 1.7631263793870458, 1.7637777093018261, 1.7642747551411364, 1.7646508347461727, 1.7649363590387619, 1.765158874201415, 1.7653431227397722, 1.765511120250687, 1.7656822424997831, 1.7658733162917786, 1.766098707512175, 1.7663704004534431, 1.766698063894969, 1.7670891011577812, 1.7675486832957701, 1.7680797665322514, 1.7686830968512535, 1.7693572061775078, 1.7700984057225788, 1.7709007827521768, 1.7717562071853914, 1.7726543540448205, 1.7735827468552834, 1.7745268257021278, 1.7754700419215483, 1.7763939794625028, 1.7772785010190573, 1.7781019152783069, 1.7788411602410921, 1.77947199668714, 1.7799692055522114, 1.7803067832741022, 1.7804581299993549, 1.7803962268321101, 1.7800937999414197, 1.7795234712245387, 1.7786578972819886, 1.777469900673984, 1.7759325998182074, 1.774019546512561, 1.7717048829871644, 1.7689635336474685, 1.7657714502379234, 1.7621059328882687, 1.7579460530801048, 1.7532732074178596, 1.7480718322999933, 1.7423303078455135, 1.7360420729496624, 1.7292069598971751, 1.7218327340997428, 1.7139367900883395, 1.7055479080105709, 1.6967079175401738, 1.6874730551891941, 1.6779147503521912, 1.6681195566121219, 1.6581879850162038, 1.6482321202847872, 1.6383721185265714, 1.6287319718337878, 1.6194352099270977, 1.6106013767268936, 1.6023440427725899, 1.5947707125362549, 1.5879842940341997, 1.582085005699281, 1.5771710157045808, 1.5733360702607668, 1.5706630539811441, 1.5692137384685765, 1.5690165002610197, 1.5700549241541486, 1.572260428791717, 1.5755111902567556, 1.5796380016629863, 1.5844359317342414, 1.5896793827016393, 1.5951377539862754, 1.6005893503730511, 1.6058321045543593, 1.6106907193370628, 1.6150206885030041, 1.6187102165175178, 1.6216813640462966, 1.6238919222532329, 1.6253397207757594, 1.6260714701231793, 1.6261990157075463, 1.6259272610665656, 1.6256002408460137, 1.6257749274443014, 1.6273352582360456, 1.6316562529045597, 1.640801343071514, 1.6576332397044395, 1.6854411198056343, 1.7262409761994937, 1.777150953696599, 1.8274127760257046, 1.8626724479307137, 1.8757795095465537, 1.8707888725086366, 1.8566525915135272, 1.8408490553391679, 1.8277277865404038, 1.8193327917225695, 1.8164673053304647, 1.8183809162529252, 1.8240361445684576, 1.8331177980515052, 1.8448973570356804, 1.8579142014480656, 1.8695760112403164, 1.8759368170930886, 1.8722424053354516, 1.8548391127494623, 1.8238462789584156, 1.7841543105037683, 1.7430735845116345, 1.7066511867169782, 1.6778207272003982, 1.6568466126193007, 1.6425937337015122, 1.633525746371757, 1.6282101672759781, 1.625487850660748, 1.6244830149247085, 1.6245576541068207, 1.6252567582235531, 1.6262606839419382, 1.6273482191419768, 1.6283693771131129, 1.6292258442063134, 1.6298570864835233, 1.6302305184704555, 1.6303345423529332, 1.6301735935174406, 1.6297645712714388, 1.6291342076062214, 1.6283170507154878, 1.6273538295320618, 1.6262900327332734, 1.6251745888355793, 1.6240585784727, 1.622993948532196, 1.6220322312361275, 1.6212232986144919, 1.6206142022698637, 1.6202481577968382, 1.6201637312880444, 1.6203942720684643, 1.6209676131187212, 1.6219060324598007, 1.6232264402908034, 1.6249407334053825, 1.6270562449231321, 1.6295762162110634, 1.6325002289798078, 1.6358245562941327, 1.6395424171065884, 1.6436441445289303, 1.6481172983648051, 1.6529467637395006, 1.6581148782029416, 1.6636016196602175, 1.6693848686594659, 1.6754407334176882, 1.6817438966537335, 1.6882679105455776, 1.6949853281129792, 1.7018675104684242, 1.7088838788107967, 1.7160002692504697, 1.7231758676858873, 1.730357904288069, 1.7374728029056281, 1.7444117163733797, 1.7510072456345716, 1.7569966871168587, 1.7619660093447054, 1.7652704061503313, 1.7659390356276452, 1.7626103815430159, 1.7536350843502686, 1.7376085777309491, 1.7145411755928546, 1.6871671749267283, 1.6607749074811575, 1.6406310025655841, 1.6291580940038928, 1.6255938328391142, 1.6276181060729467, 1.6328902298278791, 1.6396861230671491, 1.6469262025678293, 1.654001778432256, 1.6605995779875982, 1.6665767882638238, 1.6718833758333354, 1.6765169396746042, 1.680497485412382, 1.6838537504457667, 1.6866160458353021, 1.688812725889175, 1.6904686706412337, 1.6916048986292576, 1.6922388443361123, 1.6923850743812852, 1.6920563586935766, 1.6912651020865854, 1.6900252019139557, 1.6883544400105406, 1.6862775437449422, 1.6838300545867437, 1.6810631054523419, 1.678049099493059, 1.6748880579430787, 1.6717140090349198, 1.6687001809495587, 1.6660609557277832, 1.6640476975025704, 1.6629350907932201, 1.662995197370007, 1.6644588395249826, 1.6674684392439463, 1.6720320672079454, 1.6779924462126206, 1.6850236089793253, 1.6926603782855809, 1.7003545363844546, 1.7075424320569041, 1.7137068319207163, 1.7184213660594523, 1.721374847229044, 1.7223800853371203], [1.8181560184114844, 1.8194759520442074, 1.8234174863331218, 1.8299079857217797, 1.8387534554601437, 1.8494733753319452, 1.8609284656516065, 1.8705598458341135, 1.8731606769165323, 1.8601666187596642, 1.8234018142141455, 1.7662473489002295, 1.7079270012623475, 1.666067576395261, 1.6433572150542846, 1.6338503724060676, 1.6313249186888898, 1.6317535399538752, 1.6329375964643753, 1.633760462939299, 1.6336758475335476, 1.632425328767021, 1.6298944750457696, 1.6260434938745891, 1.6208775323752174, 1.6144394598160721, 1.6068173855064121, 1.5981639207466833, 1.5887262195028629, 1.5788856911221374, 1.5692035491028886, 1.5604620436867895, 1.5536806930290716, 1.5500740740644976, 1.5509110320085251, 1.5572510344204147, 1.5695884252464642, 1.5875209651305808, 1.6096173052643004, 1.6336096076084399, 1.6568755620252333, 1.6770139397695694, 1.6922917672036157, 1.7018510433243761, 1.7056944654156512, 1.7045310051671663, 1.6995539366432788, 1.6921953952197197, 1.683887751100247, 1.6758636411209564, 1.6690257031816607, 1.663901948972287, 1.6606781876636039, 1.6592793136348527, 1.659466103690697, 1.6609219570158233, 1.6633168747347522, 1.6663469069901866, 1.6697534620067376, 1.6733287874117153, 1.676913351851524, 1.6803893355941799, 1.6836728988069123, 1.6867067030505585, 1.6894533683244932, 1.6918900792025786, 1.6940043075731848, 1.6957905102908437, 1.6972476272208454, 1.6983772106618513, 1.6991820389717214, 1.6996650936846447, 1.6998288048856296, 1.6996744918866096, 1.6992019448893558, 1.6984091087688082, 1.6972918432407866, 1.6958437456162692, 1.6940560344757822, 1.6919175067021566, 1.689414598866394, 1.6865316106519941, 1.6832511885572969, 1.6795552317145395, 1.6754264832634977, 1.6708512349011515, 1.6658238394955518, 1.6603541633330947, 1.6544798223493162, 1.6482862001548164, 1.6419390709114075, 1.6357373979496015, 1.6301975689843144, 1.6261838725967392, 1.6250986844238304, 1.6291251132337317, 1.6414399931654873, 1.6661302437830816, 1.707253634298566, 1.7664446504197253, 1.8396477965883085, 1.9160859795211254, 1.9825644780502669, 2.0303622586209999, 2.0581775612837983, 2.0698031835635815, 2.0704599972860547, 2.0646219547508284, 2.0554243186920496, 2.0448319884850688, 2.0339881255469647, 2.0235158583226145, 2.0137278133754157, 2.0047583612678967, 1.9966431303368555, 1.9893655192717192, 1.9828834004773881, 1.9771441848162783, 1.9720931303132072, 1.9676777636574652, 1.9638500874462692, 1.9605675456487877, 1.9577933116069139, 1.9554962252888717, 1.9536505681263971, 1.9522357831548944, 1.9512362013030038, 1.9506408075621748, 1.9504430652244218, 1.9504713905553011, 1.9505564221285745, 1.9506983268988229, 1.9508973838328061, 1.951153984975577, 1.9514686369473162, 1.9518419628752617, 1.9522747047657456, 1.952767726322123, 1.9533220162145033, 1.9539386918072486, 1.9546190033489628, 1.955364338628752, 1.9561762280989696, 1.9570563504618388, 1.9580065387105479, 1.9590287866082849, 1.9601252555778055, 1.9612982819595626, 1.9625503845778929, 1.9638842725294681, 1.9653028530760692, 1.9668092394810046, 1.9684067585739027, 1.9700989577573897, 1.9718896110769277, 1.9737827238566255, 1.9757825352497036, 1.9778935178540871, 1.9801203732864443, 1.9824680222757238, 1.9849415874064806, 1.9875463660838411, 1.9902877905662582, 1.9931713709691308, 1.9962026159143076, 1.9993869238992406, 2.0027294363712427, 2.0062348407641459, 2.0099071081929836, 2.013749145849848, 2.017762338077822, 2.0219459422047263, 2.0262962949854173, 2.0308057723170556, 2.0354614280651648, 2.0402432166612301, 2.0451216780477961, 2.0500549324753274, 2.054984797649694, 2.0598318051551732, 2.0644888647091735, 2.0688133193227358, 2.0726171810221876, 2.0756554863102621, 2.0776130461535338, 2.0780905123516171, 2.0765918081377062, 2.0725167523612411, 2.0651652196952925, 2.0537621496324632, 2.0375150858491398, 2.0157153427921015, 1.9878866440624336, 1.9539675586008778, 1.9144869241544176, 1.8706652186649597, 1.8243708207560549, 1.7778979126635128, 1.733606974655564, 1.6935385545846915, 1.6591266990040221, 1.6310874668809952, 1.6094776900025929, 1.5938609207324306, 1.5835045164597705, 1.5775526376610007, 1.575150440556915, 1.575518175148197, 1.5779856529821561, 1.5820003044871878, 1.587120153153659, 1.5929997287894844, 1.5993738823588735, 1.6060422034715625, 1.6128552801895399, 1.619703190883834, 1.6265061742849145, 1.6332072254908701, 1.6397663033936043, 1.6461558414162918, 1.6523572899856178, 1.6583584651202838, 1.6641515227584835, 1.6697314186333578, 1.6750947472974356, 1.6802388813581111, 1.6851613537190204, 1.6898594423304294, 1.6943299292435621, 1.6985690140968281, 1.7025723668663983, 1.706335306077116, 1.7098530870460029, 1.7131212806506764, 1.716136217391204, 1.7188954652586841, 1.7213983045031289, 1.72364615925094, 1.7256429463227896, 1.7273953063293606, 1.7289126912175401, 1.730207295088281, 1.7312938297174159, 1.7321891607078448, 1.7329118324637298, 1.7334815184953247, 1.7339184369882921, 1.7342427700649428, 1.7344741195145299, 1.734631023330512, 1.7347305477437081, 1.734787960058203, 1.7348164796260925, 1.73482709844177, 1.7348284593683176, 1.7348267788504048, 1.7348258018117149, 1.7348267788503984, 1.734828459368311, 1.7348270984417735, 1.734816479626087, 1.734787960058203, 1.7347305477437056, 1.7346310233305158, 1.7344741195145326, 1.7342427700649456, 1.7339184369882936, 1.7334815184953285, 1.7329118324637278, 1.7321891607078395, 1.7312938297174159, 1.7302072950882825, 1.7289126912175421, 1.7273953063293555, 1.7256429463227845, 1.7236461592509376, 1.7213983045031296, 1.7188954652586821, 1.7161362173912076, 1.7131212806506764, 1.7098530870460011, 1.7063353060771118, 1.702572366866395, 1.698569014096835, 1.6943299292435487, 1.6898594423304234, 1.6851613537190191, 1.6802388813581051, 1.6750947472974387, 1.6697314186333625, 1.6641515227584782, 1.6583584651202841, 1.6523572899856245, 1.6461558414162878, 1.6397663033936043, 1.6332072254908787, 1.6265061742849218, 1.619703190883834, 1.6128552801895402, 1.6060422034715611, 1.5993738823588659, 1.5929997287894839, 1.5871201531536527, 1.582000304487194, 1.5779856529821541, 1.5755181751481957, 1.5751504405569114, 1.5775526376609996, 1.5835045164597785, 1.5938609207324372, 1.6094776900025662, 1.6310874668809856, 1.6591266990040341, 1.6935385545847528, 1.7336069746556104, 1.7778979126635301, 1.8243708207560574, 1.870665218664995, 1.914486924154436, 1.9539675586008682, 1.9878866440624456, 2.0157153427921037, 2.0375150858491367, 2.0537621496324578, 2.065165219695301, 2.0725167523612438, 2.0765918081377035, 2.0780905123516153, 2.077613046153532, 2.0756554863102612, 2.0726171810221961, 2.0688133193227394, 2.0644888647091699, 2.0598318051551634, 2.0549847976496922, 2.0500549324753217, 2.0451216780477943, 2.040243216661235, 2.0354614280651551, 2.0308057723170401, 2.0262962949854093, 2.0219459422047286, 2.0177623380778273, 2.0137491458498449, 2.0099071081929805, 2.0062348407641348, 2.0027294363712382, 1.9993869238992417, 1.9962026159143036, 1.9931713709691237, 1.9902877905662506, 1.9875463660838466, 1.9849415874064791, 1.9824680222757123, 1.9801203732864423, 1.9778935178540762, 1.9757825352496976, 1.9737827238566241, 1.9718896110769308, 1.9700989577573826, 1.9684067585738989, 1.9668092394809975, 1.965302853076067, 1.9638842725294725, 1.9625503845778887, 1.9612982819595681, 1.9601252555778117, 1.9590287866082896, 1.9580065387105436, 1.957056350461845, 1.9561762280989765, 1.9553643386287474, 1.9546190033489665, 1.9539386918072488, 1.9533220162145055, 1.9527677263221217, 1.9522747047657436, 1.951841962875257, 1.9514686369473175, 1.9511539849755728, 1.9508973838328061, 1.9506983268988249, 1.9505564221285792, 1.9504713905552977, 1.950443065224412, 1.9504572263984747, 1.9504997198019056, 1.9505705750909579, 1.9506698417341917, 1.9507975890747256, 1.9509539064173436, 1.9511389031404265, 1.9513527088326892, 1.9515954734546521, 1.9518673675247347, 1.9521685823298955, 1.9524993301605933, 1.9528598445699008, 1.9532503806564248, 1.9536712153707478, 1.9541226478448031, 1.9546049997436623, 1.9551186156390481, 1.9556638634034962, 1.956241134624104, 1.956850845034602, 1.9574934349639337, 1.9581693697992446, 1.9588791404611723, 1.9596232638881723, 1.9604022835265449, 1.9612167698221112, 1.9620673207085373, 1.9629545620864794, 1.9638791482867324, 1.9648417625093986, 1.9658431172293434, 1.9668839545569836, 1.9679650465411269, 1.9690871953985631, 1.9702512336522811, 1.9714580241573365, 1.9727084599894202, 1.9740034641674329, 1.975343989176179, 1.9767310162494518, 1.9781655543676677, 1.9796486389155306, 1.981181329936996, 1.982764709913267, 1.9843998809777819, 1.9860879614668576, 1.9878300816879759, 1.9896273787671974, 1.9914809904138293, 1.9933920474126108, 1.9953616646210706, 1.9973909302116439, 1.9994808928530636, 2.0016325464727256, 2.0038468121796873, 2.0061245168551007, 2.0084663678306525, 2.0108729229754267, 2.0133445553926874, 2.0158814117894637, 2.0184833634190782, 2.0211499483060416, 2.0238803032407469, 2.0266730837720881, 2.029526370125962, 2.0324375566304607, 2.0354032218303657, 2.0384189760193285, 2.0414792824063617, 2.0445772475626982, 2.0477043761718918, 2.0508502844404837, 2.0540023658428046, 2.0571454022094628, 2.0602611125881438, 2.0633276319032681, 2.0663189113619129, 2.0692040330055526, 2.0719464320862979, 2.0745030234642883, 2.0768232325359217, 2.078847938048543, 2.0805083444779107, 2.081724816598292, 2.0824057298041145, 2.082446418066259, 2.0817283383889515, 2.0801186169479524, 2.0774701971012033, 2.0736228701405066, 2.0684055291116108, 2.0616400317905081, 2.0531470713107471, 2.0427544045744721, 2.0303076461294571, 2.0156835656300682, 1.9988054098418202, 1.9796592159546229, 1.9583094545167306, 1.9349117673594469, 1.9097202392367265, 1.8830867726230258, 1.8554508762952413, 1.8273195302052005, 1.799238533790616, 1.7717584634861008, 1.7453995609636264, 1.720620162209197, 1.6977925537874476, 1.6771886309965625, 1.6589758904742535, 1.6432226183014005, 1.6299099976645293, 1.6189483929790331, 1.6101951934448167, 1.6034721166426769, 1.5985805547328324, 1.595314209841993, 1.5934688026827302, 1.5928490097663195, 1.5932729981756819, 1.594575015776484, 1.5966064985082005, 1.5992361104387984, 1.6023490634442372, 1.6058459895240231, 1.609641570202033, 1.6221470618905154, 1.635316427072983, 1.6483139068151287, 1.6606781396949166, 1.6721730729939606, 1.6826950490880039, 1.6922167026196246, 1.7007537548945153, 1.7083456627972882, 1.7150445116581745, 1.7209087485373367, 1.7259997140052155, 1.7303797551036726, 1.7341111984492785, 1.7372557614872199, 1.7398741612191408, 1.7420257905889911, 1.7437684008475767, 1.7451577697174467, 1.7462473593614714, 1.7470879805534334, 1.7477274836106598, 1.7482104951624282, 1.7485782148056142, 1.7488682789390966, 1.7491146920521448, 1.7493478195740875, 1.7495944317691061, 1.7498777853863807, 1.7502177288375156, 1.7506308173330944, 1.7511304263083831, 1.7517268542087761, 1.752427408909264, 1.7532364753833123, 1.7541555654443368, 1.7551833532435333, 1.7563157025481435, 1.757545693509488, 1.7588636575559917, 1.7602572291493177, 1.7617114224049539, 1.7632087390491997, 1.7647293119821765, 1.7662510860346279, 1.7677500346047745, 1.7692004080382873, 1.7705750071719537, 1.7718454736632456, 1.772982587757453, 1.7739565640804342, 1.7747373368515715, 1.7752948274536129, 1.775599189371986, 1.775621027904777, 1.7753315945509118, 1.774702958473263, 1.7737081598522191, 1.7723213523131967, 1.7705179440022005, 1.7682747493824031, 1.7655701664866936, 1.7623843971594304, 1.7586997306007519, 1.7545009129588829, 1.7497756272492897, 1.74451510769763, 1.7387149095944039, 1.7323758485047247, 1.7255051095761915, 1.718117507124572, 1.7102368455185479, 1.7018972947602822, 1.6931446505892027, 1.6840373056865499, 1.6746467267646765, 1.6650572280344962, 1.655364873394447, 1.6456754429535128, 1.6361015662536293, 1.6267593320337252, 1.6177648773092157, 1.6092315538962223, 1.6012681818735652, 1.5939785801085107, 1.587462053589251, 1.5818139651680994, 1.5771251564776509, 1.5734790360302515, 1.5709457267019817, 1.5695736510313638, 1.5693800053074494, 1.57034230427528, 1.572393231851092, 1.5754203413825152, 1.5792709586983302, 1.5837613967151989, 1.5886887181251372, 1.5938430083034416, 1.5990184144293349, 1.6040218608733032, 1.6086791143894379, 1.6128385650765558, 1.6163736521940564, 1.6191853633657456, 1.6212068489017959, 1.6224132215577842, 1.6228415476007385, 1.6226296866695262, 1.6220892411192587, 1.6218386819191968, 1.6230358649010992, 1.6277458777899576, 1.6393794832497086, 1.6627099248750494, 1.7019957883276469, 1.7556084081572947, 1.8111567122848458, 1.8519489696138385, 1.8708168622912353, 1.8722060580882427, 1.8640908028916279, 1.8525568236416201, 1.8410635432219813, 1.8313114479673063, 1.8240647021781147, 1.819640379821251, 1.8181560184114844, 1.8191460120165956, 1.822103201693843, 1.8269797493881619, 1.8336614756810439, 1.8419054414243246, 1.8512296795881382, 1.8607329958601682, 1.8688336935560845, 1.8729832457949582, 1.8696034990481538, 1.8548065182895364, 1.8264379714040393, 1.7866737349283277, 1.7423802033445905, 1.7016656154294345, 1.6697123566254048, 1.6476299519938391, 1.6339382009999459, 1.6263609187451391, 1.6228251045942559, 1.6217672859605428, 1.6221121220792485, 1.6231569619725503, 1.6244579956767606, 1.6257434865854621, 1.6268539378973568, 1.6277026748423278, 1.6282504171293581, 1.6284890110520776, 1.6284310270799478, 1.628103067837841, 1.6275413999550836, 1.6267890220092005, 1.6258936005375426, 1.6249059122171299, 1.6238785658557742, 1.6228648697568848, 1.6219177744872775, 1.6210888672240438, 1.6204274263469018, 1.6199795657888363, 1.6197875085991991, 1.6198890287432812, 1.6203170904805941, 1.6210996978762664, 1.6222599463235807, 1.6238162473143942, 1.6257826810535199, 1.6281694220776823, 1.6309831825657242, 1.6342276264306141, 1.6379037226646174, 1.642010025490046, 1.6465428877008148, 1.6514966283565942, 1.6568636837106674, 1.6626347691103953, 1.6687990689816998, 1.6753444520321454, 1.6822576795607298, 1.6895245351320805, 1.6971297500248579, 1.7050565222350438, 1.7132853111849589, 1.7217914073549589, 1.7305404786060743, 1.7394808071702808, 1.7485301380098532, 1.7575538058083044, 1.7663289525649333, 1.7744872994832168, 1.7814272421810304, 1.7861893655105407, 1.7873102937028253, 1.7827351401389748, 1.7700104566433039, 1.7471421180701385, 1.7143146939842353, 1.675540968244658, 1.6380216166472146, 1.6085593343249471, 1.5902079138248579, 1.5821206928921498, 1.5815568759694203, 1.5856784069821472, 1.5923162879551889, 1.6000436838478496, 1.6080022447648474, 1.6157084253254053, 1.6229073810256696, 1.6294773815012022, 1.6353713499798506, 1.6405823692159283, 1.6451237771956004, 1.649017897854737, 1.6522898178077452, 1.6549641021950492, 1.6570632325630021, 1.6586070751828914, 1.6596129984041286, 1.6600964431269658, 1.6600718644775718, 1.6595540357242133, 1.6585597539586558, 1.6571100186055447, 1.6552327690512376, 1.6529662607509916, 1.6503631170691297, 1.647494995816666, 1.6444576265467277, 1.6413756763640548, 1.6384064695162819, 1.6357410419709688, 1.6336004671352649, 1.6322250931452109, 1.6318546909912321, 1.632698987875997, 1.6349008822072901, 1.6384983669724755, 1.6433944202460935, 1.6493448119265977, 1.6559704470225642, 1.6627940570196109, 1.6692936467445816, 1.6749607478212327, 1.6793521513480181, 1.6821283765740882, 1.6830777079402606], [1.8087232596094276, 1.8093354405543112, 1.8111710296765091, 1.81422536444989, 1.8184819394469767, 1.8238876984168078, 1.8302863978861426, 1.8372515858242782, 1.843693012779331, 1.8470138994638174, 1.841707067515113, 1.8187698786491064, 1.7716091542324723, 1.7103935629647697, 1.6594695361003924, 1.6309010582993113, 1.619610713377607, 1.6170647362731521, 1.6177220322866439, 1.6188586261296511, 1.6192967859920628, 1.6185796136030459, 1.6165655744706662, 1.6132480154224387, 1.6086805538565359, 1.6029515052028596, 1.596182331185195, 1.5885395485689116, 1.5802556649884116, 1.5716566605635058, 1.5631927941317587, 1.5554663169147609, 1.549244005907191, 1.5454352227140671, 1.5450110813149118, 1.5488449684306493, 1.5574789418510848, 1.5708671233435783, 1.5881971924559688, 1.6079019524901084, 1.6279103186858601, 1.6460729921763639, 1.6606107776127934, 1.6704353824854561, 1.6752685564247116, 1.6755702142562658, 1.6723345784488406, 1.6668256297448933, 1.6603177679514947, 1.6538938379795858, 1.6483304120672395, 1.6440723793347909, 1.6412751684962676, 1.6398821211621997, 1.6397075135228945, 1.640506485843845, 1.6420245545791288, 1.6440273247323482, 1.6463147875322905, 1.6487253349702904, 1.6511338316765516, 1.6534468319637445, 1.6555968750793166, 1.6575369286926518, 1.6592354839868273, 1.6606724701828233, 1.6618359776360649, 1.6627196965776785, 1.6633209512059444, 1.6636392096705248, 1.6636749640070423, 1.6634288918096642, 1.6629012291730993, 1.662091300415552, 1.6609971638480208, 1.6596153446109985, 1.6579406359522724, 1.6559659601019063, 1.6536822901923396, 1.6510786469019669, 1.6481421996860803, 1.6448585255953128, 1.6412121133958457, 1.6371872543393504, 1.6327695453194784, 1.6279483645849957, 1.6227208962625088, 1.6170986294576788, 1.611117824824416, 1.6048563600421668, 1.5984608381085073, 1.5921901416756024, 1.5864850016433911, 1.5820774766732701, 1.5801576785970439, 1.5826104604893652, 1.5923010797666486, 1.6132776681932353, 1.6504995067793862, 1.7083356577495723, 1.787199531170057, 1.8796220902985956, 1.9703191381981646, 2.0432869686119099, 2.0903016455044234, 2.1126577927790295, 2.1167969145046572, 2.1096737209706959, 2.0966149257570876, 2.0810619943935413, 2.0650158429754075, 2.0495449797814778, 2.035164737729843, 2.0220800628129663, 2.0103299226226485, 1.9998697573076729, 1.9906172689099528, 1.9824772013694276, 1.9753543038656669, 1.9691597421268627, 1.9638139353417801, 1.959247491285051, 1.9554011741338071, 1.9522254234756757, 1.949679709063656, 1.9477318747296002, 1.9463575518744953, 1.9455396829129372, 1.9452681736770019, 1.9453076386478685, 1.9454261178670009, 1.9456238646126074, 1.945901302211507, 1.9462590258394736, 1.9466978050523056, 1.9472185870583332, 1.9478225007453616, 1.9485108614775126, 1.9492851766790094, 1.9501471522235236, 1.9510986996473207, 1.9521419442046652, 1.9532792337803033, 1.954513148671144, 1.955846512240961, 1.957282402442754, 1.9588241641884965, 1.9604754225254952, 1.9622400965512992, 1.9641224139611322, 1.9661269260723468, 1.9682585231033165, 1.9705224493968654, 1.9729243181626135, 1.9754701251604343, 1.9781662605487746, 1.9810195178602272, 1.98403709872585, 1.9872266115225143, 1.9905960615324825, 1.994153829437693, 1.9979086339662122, 2.0018694731892266, 2.0060455372356523, 2.0104460829165043, 2.015080257759895, 2.0199568570263384, 2.0250839921050185, 2.0304686419070777, 2.0361160499788094, 2.0420289184452587, 2.0482063348066757, 2.0546423481654896, 2.0613240866962936, 2.0682292771929984, 2.0753229898214722, 2.0825533872840825, 2.0898462101862365, 2.0970976865669595, 2.1041655284015164, 2.1108577004241647, 2.1169187687114266, 2.1220139447800159, 2.1257115695806319, 2.1274659168655377, 2.1266040501969337, 2.122323184546794, 2.1137084146650955, 2.099783862586631, 2.0796110294363239, 2.0524425879323118, 2.0179237026883374, 1.9763051503956208, 1.9286012006680759, 1.8766108232902776, 1.8227468869543546, 1.7696885079537239, 1.7199535817693647, 1.6755282747632241, 1.6376592827444394, 1.606836506550944, 1.5829208682483544, 1.5653401913788301, 1.5532852405438096, 1.5458665650836299, 1.542220218350697, 1.5415675000009155, 1.5432406626731905, 1.5466868138179208, 1.5514597034445228, 1.5572060085583326, 1.5636501299634815, 1.570579670347656, 1.5778325860399287, 1.5852863211762438, 1.5928488730147399, 1.6004515729579278, 1.6080433137562959, 1.6155859563353792, 1.6230506789066137, 1.6304150697127129, 1.637660804467705, 1.6447717865025533, 1.651732660487383, 1.6585276391634562, 1.6651396069315971, 1.6715494844729821, 1.6777358545660115, 1.6836748602436591, 1.6893403913885627, 1.6947045736115358, 1.6997385628398749, 1.7044136302038972, 1.7087024955619878, 1.7125808370716951, 1.7160288731454341, 1.7190328879013863, 1.7215865581964556, 1.7236919447260881, 1.7253600339145021, 1.7266107598123981, 1.7274724901705629, 1.7279810192971263, 1.7281781621795338, 1.7281100810116581, 1.7278254915388129, 1.7273738918008379, 1.726803933330149, 1.7261620208233472, 1.7254911878605446, 1.7248302597708047, 1.7242132847911831, 1.7236691936091113, 1.7232216356201875, 1.7228889367908189, 1.7226841271728932, 1.7226149939942306, 1.7226841271728859, 1.7228889367908098, 1.7232216356201915, 1.7236691936091058, 1.7242132847911813, 1.7248302597708018, 1.7254911878605479, 1.7261620208233506, 1.7268039333301519, 1.7273738918008412, 1.7278254915388178, 1.7281100810116559, 1.7281781621795271, 1.7279810192971263, 1.727472490170564, 1.726610759812401, 1.7253600339144961, 1.7236919447260812, 1.7215865581964536, 1.7190328879013865, 1.716028873145431, 1.7125808370717002, 1.7087024955619876, 1.7044136302038959, 1.69973856283987, 1.6947045736115316, 1.6893403913885698, 1.6836748602436451, 1.677735854566005, 1.6715494844729832, 1.6651396069315902, 1.6585276391634607, 1.6517326604873885, 1.6447717865025477, 1.6376608044677061, 1.6304150697127182, 1.6230506789066084, 1.6155859563353816, 1.6080433137563053, 1.6004515729579358, 1.5928488730147412, 1.5852863211762434, 1.5778325860399283, 1.5705796703476489, 1.5636501299634804, 1.5572060085583264, 1.551459703444529, 1.5466868138179202, 1.54324066267319, 1.5415675000009141, 1.542220218350697, 1.5458665650836352, 1.5532852405438147, 1.5653401913788085, 1.5829208682483453, 1.6068365065509549, 1.637659282744496, 1.6755282747632703, 1.7199535817693816, 1.7696885079537266, 1.8227468869543983, 1.8766108232903016, 1.9286012006680662, 1.9763051503956395, 2.0179237026883396, 2.0524425879323074, 2.0796110294363124, 2.0997838625866461, 2.1137084146651031, 2.1223231845467874, 2.1266040501969314, 2.1274659168655354, 2.1257115695806315, 2.1220139447800257, 2.1169187687114315, 2.1108577004241589, 2.1041655284015039, 2.0970976865669559, 2.0898462101862272, 2.0825533872840807, 2.0753229898214789, 2.0682292771929833, 2.0613240866962714, 2.0546423481654781, 2.048206334806677, 2.042028918445264, 2.0361160499788054, 2.0304686419070728, 2.0250839921050039, 2.0199568570263331, 2.0150802577598959, 2.0104460829164985, 2.0060455372356434, 2.0018694731892155, 1.9979086339662198, 1.9941538294376913, 1.990596061532466, 1.9872266115225123, 1.9840370987258373, 1.9810195178602199, 1.978166260548774, 1.9754701251604367, 1.9729243181626048, 1.9705224493968618, 1.9682585231033083, 1.9661269260723444, 1.9641224139611397, 1.9622400965512958, 1.9604754225255037, 1.9588241641885034, 1.9572824024427606, 1.9558465122409567, 1.9545131486711516, 1.9532792337803144, 1.9521419442046597, 1.951098699647325, 1.9501471522235221, 1.9492851766790125, 1.9485108614775108, 1.9478225007453602, 1.9472185870583278, 1.9466978050523078, 1.9462590258394665, 1.9459013022115064, 1.9456238646126094, 1.9454261178670069, 1.9453076386478656, 1.9452681736769883, 1.9452879039188891, 1.9453471098544797, 1.9454458371359236, 1.9455841619247654, 1.9457621910039775, 1.9459800619348619, 1.946237943258903, 1.9465360347446916, 1.9468745676800052, 1.947253805209096, 1.9476740427153436, 1.9481356082492196, 1.9486388630016667, 1.9491842018227072, 1.9497720537852694, 1.9504028827938051, 1.9510771882373623, 1.9517955056865599, 1.9525584076334477, 1.9533665042731301, 1.9542204443259084, 1.9551209158977354, 1.9560686473765199, 1.95706440836163, 1.9581090106223642, 1.9592033090809244, 1.9603482028143047, 1.9615446360681137, 1.9627935992739156, 1.9640961300601159, 1.9654533142444834, 1.9668662867936184, 1.9683362327324325, 1.9698643879830195, 1.9714520401087547, 1.9731005289346277, 1.9748112470099146, 1.9765856398724964, 1.9784252060673921, 1.9803314968630554, 1.9823061155986901, 1.9843507165846288, 1.9864670034626437, 1.9886567269177127, 1.9909216816121968, 1.9932637021914197, 1.9956846581817276, 1.998186447570943, 2.0007709888230529, 2.0034402110350595, 2.006196041891382, 2.0090403930095744, 2.0119751421984957, 2.0150021120641224, 2.0181230442968516, 2.0213395688548279, 2.0246531671172354, 2.0280651279151449, 2.0315764951534536, 2.0351880055077074, 2.0389000144116189, 2.0427124082374606, 2.0466245002054935, 2.0506349071351733, 2.0547414036608016, 2.0589407499740902, 2.0632284885188841, 2.0675987043492272, 2.0720437430721943, 2.0765538794447944, 2.081116928800439, 2.0857177925890804, 2.090337928492167, 2.0949547349277231, 2.0995408394518393, 2.1040632808269923, 2.1084825757006156, 2.1127516633886096, 2.1168147268262532, 2.1206058951777731, 2.1240478449722073, 2.1270503332909909, 2.1295087200279443, 2.1313025682293931, 2.1322944534983725, 2.1323291662732604, 2.1312335538973981, 2.1288173195970685, 2.1248751653769538, 2.1191907219261465, 2.1115427295949498, 2.1017138906111406, 2.0895026677241213, 2.0747380221826712, 2.0572966409353559, 2.0371216077131087, 2.0142407876395243, 1.9887825521122802, 1.9609860662648919, 1.9312034166200331, 1.899891540685706, 1.8675932549312142, 1.8349084678428154, 1.8024585070402539, 1.7708478822459666, 1.740628332052967, 1.7122694997577408, 1.6861392138493936, 1.6624945270339337, 1.6414828912502391, 1.6231515144648581, 1.6074622515131196, 1.5943093062376996, 1.5835374014382571, 1.5749586910885309, 1.5683673540484244, 1.5635513905373128, 1.5603015796779289, 1.5584178386389356, 1.5577133727762651, 1.5580170559951743, 1.559174466038729, 1.5610479493083331, 1.5635160249257487, 1.5664723713870659, 1.5698245787928902, 1.5734927986169542, 1.5774083820695477, 1.5900938510100051, 1.6033519686250921, 1.616472503540819, 1.6290400862073333, 1.64082202353583, 1.6516976511189012, 1.66161478121827, 1.670563225170389, 1.6785588631160555, 1.6856341357680467, 1.6918323881344643, 1.6972044757199016, 1.7018066561987659, 1.7056991724136865, 1.708945173722872, 1.7116097763843992, 1.7137591625323929, 1.7154596807545701, 1.7167769506757899, 1.7177749960515298, 1.718515440062804, 1.7190567961227861, 1.7194538805232071, 1.7197573624567333, 1.720013454873625, 1.7202637383334902, 1.7205451009446338, 1.7208897714253226, 1.7213254194486325, 1.7218752974639806, 1.7225584005641581, 1.7233896250140412, 1.7243799111181777, 1.7255363616032895, 1.7268623321695298, 1.7283574959635766, 1.7300178881769952, 1.7318359405563915, 1.7338005181504876, 1.7358969719651809, 1.7381072212482958, 1.7404098778428061, 1.7427804224877763, 1.7451914392885182, 1.7476129101275644, 1.7500125659738894, 1.7523562873724725, 1.7546085423785687, 1.7567328472956256, 1.7586922340971192, 1.7604497084836974, 1.7619686840584801, 1.7632133808218695, 1.7641491796947573, 1.7647429286405538, 1.7649631997853521, 1.7647805004582455, 1.7641674441666908, 1.7630988901986275, 1.761552062919173, 1.759506664055154, 1.7569449934543448, 1.7538520959877859, 1.7502159543067266, 1.7460277487607854, 1.7412822064183413, 1.735978060079437, 1.7301186345108217, 1.7237125697758253, 1.7167746793392431, 1.7093269226211587, 1.7013994474151632, 1.693031627768725, 1.6842729901507867, 1.675183890358138, 1.6658357842843856, 1.656310938956751, 1.6467014685146413, 1.6371076617227502, 1.6276356912832419, 1.618394940815062, 1.6094953113043198, 1.6010449169693532, 1.5931484947284253, 1.5859066079574526, 1.579415363058124, 1.5737659903908079, 1.569043432985858, 1.5653231857236178, 1.5626660858187214, 1.5611114706175753, 1.5606698478782868, 1.5613166743943685, 1.5629888037950082, 1.5655846271885778, 1.5689680785153424, 1.5729758119384287, 1.5774262586545034, 1.5821290790154974, 1.5868937262148748, 1.5915363044316833, 1.5958844900135918, 1.5997808991199505, 1.6030859503051296, 1.6056821626710869, 1.6074833622112119, 1.6084552721256959, 1.6086600514112663, 1.6083494220672789, 1.6081529503535354, 1.6094377558904234, 1.6149078197859612, 1.6292435072113469, 1.658488185818819, 1.7052641302188332, 1.7608251774642583, 1.8074909738403988, 1.8346414110730249, 1.8444743093990419, 1.843984090642566, 1.8387742078739873, 1.8320502478738392, 1.8254023062511364, 1.8195676690952352, 1.8148758783648788, 1.8114703517364599, 1.8094115736319285, 1.8087232596094276, 1.8091821839907296, 1.8105556254707957, 1.8128318367618732, 1.8159848098838307, 1.8199623448531177, 1.8246639123467805, 1.8299007948398458, 1.8353259534509385, 1.8403153765065818, 1.8437827627972907, 1.8439380050518834, 1.8381131387139238, 1.8230454484936387, 1.7962739405981674, 1.7587090887068946, 1.7162025346500502, 1.6770744737154395, 1.6471870541310736, 1.6277487053043407, 1.616844748706209, 1.6117337843329882, 1.6100931722644201, 1.6103126037437161, 1.6113848839848606, 1.6127192967039381, 1.613988247318956, 1.6150234695931847, 1.6157512348758445, 1.6161533865954096, 1.6162442978930656, 1.6160573277301173, 1.6156368485399764, 1.6150335054814315, 1.614301327266104, 1.6134958789992229, 1.6126729863734328, 1.6118877640530134, 1.611193805350301, 1.6106424672962798, 1.6102822327466724, 1.6101581589818816, 1.6103114357334807, 1.6107790779872162, 1.6115937728424106, 1.6127838877501168, 1.614373632510415, 1.6163833525767177, 1.6188299194159386, 1.6217271771790409, 1.6250864049421199, 1.6289167601610068, 1.6332256803144611, 1.6380192335506745, 1.643302422487545, 1.6490794550865009, 1.6553539999922176, 1.6621294386642922, 1.669409111047703, 1.67719652307542, 1.6854954390001977, 1.6943097119189408, 1.7036425978390368, 1.7134951269399838, 1.7238628262286542, 1.7347296260759113, 1.7460570175988435, 1.7577652717454046, 1.7697015328465073, 1.7815866377524676, 1.7929288167553672, 1.8028900688178768, 1.8100976049627651, 1.8124293188135292, 1.8069107409347125, 1.7900757666207079, 1.7593237549048952, 1.7153390684163841, 1.6639297670660345, 1.6144782446222814, 1.5751671415562416, 1.549384914062844, 1.5360497876833779, 1.5320204611188206, 1.5340536436658494, 1.5396223428407296, 1.5470074333104316, 1.5551257893944863, 1.5633284617498888, 1.5712425783430592, 1.5786639602048465, 1.5854888318982889, 1.5916718145898647, 1.5972005476632662, 1.6020805350727494, 1.6063262016824775, 1.609955710098478, 1.6129880642827403, 1.6154416217898511, 1.6173334979240124, 1.6186795656042621, 1.61949489114668, 1.6197945324607184, 1.6195946820283715, 1.6189141732201362, 1.617776389613111, 1.6162116228299328, 1.6142599103808297, 1.6119743418603898, 1.6094247359074214, 1.6067014446647938, 1.6039188213198974, 1.6012175849401942, 1.5987649593292086, 1.5967511273967403, 1.5953803875420842, 1.5948556646776144, 1.595355983938554, 1.5970083062154781, 1.5998575490636702, 1.6038409430995468, 1.6087739368256597, 1.6143535943020755, 1.6201816575512158, 1.625804360401617, 1.6307617996213306, 1.6346379975038838, 1.6371040891817601, 1.637950138311663], [1.7828537731001122, 1.7830072462413784, 1.7834752706564825, 1.7842807112308199, 1.7854611709579258, 1.7870654912105071, 1.7891415488999356, 1.7917019713143389, 1.7946357379549793, 1.7974889709017927, 1.7989431979239043, 1.7957029632263135, 1.7808981984815884, 1.7452765189850725, 1.6894658702286227, 1.6355773072778776, 1.6034396330835146, 1.590872588734733, 1.5880342002041061, 1.588380686987481, 1.5889619925330352, 1.5886766312139096, 1.5871975895770709, 1.5844962421052007, 1.5806539579138632, 1.5757945831325832, 1.5700666845601188, 1.5636471252922919, 1.5567547110676809, 1.5496690121544594, 1.5427510469449091, 1.5364614971448249, 1.5313692989181511, 1.5281395305218981, 1.527486199620639, 1.5300764131829001, 1.5363827520446527, 1.5465042811667029, 1.5600091178867479, 1.5758745317052787, 1.5925881014863068, 1.6084148906444358, 1.6217569667510157, 1.6314833643542983, 1.6371225790901409, 1.6388721864383258, 1.63745042545497, 1.6338600499097531, 1.6291454257623763, 1.6242057316779304, 1.6196936045198531, 1.6159952654177552, 1.6132670855826099, 1.6114983010274582, 1.6105758229329186, 1.6103375345357891, 1.6106095977135304, 1.6112289231759565, 1.6120543274357864, 1.6129701825497307, 1.6138856831593571, 1.6147319324332821, 1.615458231208988, 1.616028351263032, 1.6164171765521818, 1.6166078578548091, 1.6165894957179017, 1.6163553033644043, 1.6159011769049574, 1.615224596707409, 1.614323790284077, 1.6131970974926233, 1.6118424900706845, 1.6102572081061881, 1.6084374855159629, 1.6063783450314393, 1.6040734509467489, 1.6015150155605078, 1.5986937636520395, 1.5955989695888755, 1.5922185953599313, 1.5885395773400188, 1.5845483385586301, 1.5802316473962232, 1.5755780121084988, 1.5705799081610079, 1.5652373061190372, 1.5595632411894935, 1.5535926059569682, 1.5473960601229384, 1.5411021014622532, 1.5349321817778212, 1.5292566162053967, 1.5246832303889311, 1.5221959794209559, 1.523364640238358, 1.5306393830517626, 1.5476967828297252, 1.5796496700349874, 1.6325748539791172, 1.7113208859149369, 1.8148269002690371, 1.9311562451075126, 2.0389435168092778, 2.1184303154373998, 2.162280372662182, 2.1755370460087873, 2.1683213290370666, 2.1498963768755428, 2.1266470334856371, 2.1023290770779237, 2.0789096941840994, 2.057295246007004, 2.0378123757583921, 2.0204913199450418, 2.0052227825208142, 1.9918413097012841, 1.980167925011848, 1.9700308092169898, 1.9612744099509571, 1.9537626132272652, 1.9473789944547173, 1.9420257474330507, 1.9376221250220538, 1.9341028155334643, 1.9314164614759828, 1.9295244138757317, 1.928399758243132, 1.92802662145439, 1.928081329328732, 1.9282455828306542, 1.928519772227083, 1.9289045500667972, 1.9294008343496925, 1.9300098129896799, 1.9307329495974517, 1.9315719906159314, 1.9325289738482427, 1.9336062384238737, 1.9348064362547763, 1.9361325450366598, 1.9375878828550661, 1.9391761244551124, 1.9409013192341402, 1.9427679110091285, 1.9447807596016871, 1.9469451642658622, 1.9492668889574956, 1.9517521894063816, 1.9544078418974076, 1.9572411735921804, 1.9602600941179109, 1.9634731280095488, 1.9668894473999603, 1.9705189040952444, 1.9743720598285113, 1.9784602130239148, 1.982795419788447, 1.9873905060289325, 1.9922590664997535, 1.9974154451323709, 2.0028746890607407, 2.0086524661763914, 2.01476493261092, 2.0212285319675982, 2.028059702031177, 2.0352744565846961, 2.0428877992052534, 2.0509129116735418, 2.059360040863361, 2.0682349834064215, 2.077537035570526, 2.0872562350904098, 2.0973696708263647, 2.1078365747012011, 2.1185918402497017, 2.1295375399587204, 2.1405319552161934, 2.1513756205268022, 2.1617939781285473, 2.1714165448879252, 2.179753177809443, 2.1861693295896019, 2.1898644067672128, 2.189860721492678, 2.1850149688919736, 2.1740686890484593, 2.1557561710724893, 2.1289830093553208, 2.0930703312884478, 2.048026319568832, 1.9947667116724328, 1.9351835658220709, 1.8719864797251211, 1.8083207802620729, 1.7472669542764052, 1.6913811200244284, 1.6424094437770875, 1.6012224867801219, 1.567928196603015, 1.5420791033728141, 1.5228939999198845, 1.5094442199663938, 1.5007858749617091, 1.4960402497302445, 1.4944339171885441, 1.4953117215052725, 1.4981336490010722, 1.5024634578433778, 1.5079540870699784, 1.5143327362760788, 1.521387090045438, 1.5289532965911847, 1.5369058241984137, 1.5451490720179941, 1.5536105055275367, 1.5622350584767801, 1.5709805542956692, 1.579813929105131, 1.5887080741462487, 1.5976391521689575, 1.6065842780323201, 1.615519488177261, 1.6244179572040467, 1.6332484530369351, 1.6419740551092894, 1.6505511917013955, 1.6589290806768604, 1.6670496784284894, 1.6748482493526391, 1.6822546562041836, 1.6891954343117661, 1.6955966465773991, 1.7013874234289261, 1.70650398196283, 1.7108938091812014, 1.7145196095300004, 1.7173625819540563, 1.7194246249183187, 1.7207291737663222, 1.7213205396059892, 1.7212618122712757, 1.7206315726655372, 1.7195197953463468, 1.7180233869610517, 1.7162417951019804, 1.714273048026447, 1.7122104726564324, 1.7101402135839932, 1.7081395624958109, 1.7062760201625951, 1.7046069575149192, 1.7031797166734812, 1.7020319910826214, 1.7011923385292171, 1.7006807047573715, 1.7005088632106666, 1.7006807047573618, 1.7011923385292038, 1.7020319910826252, 1.7031797166734763, 1.704606957514915, 1.7062760201625915, 1.7081395624958131, 1.7101402135839958, 1.7122104726564349, 1.7142730480264516, 1.7162417951019873, 1.7180233869610502, 1.7195197953463368, 1.7206315726655368, 1.7212618122712764, 1.7213205396059914, 1.7207291737663137, 1.7194246249183116, 1.717362581954055, 1.7145196095300022, 1.7108938091811978, 1.7065039819628358, 1.7013874234289259, 1.6955966465773962, 1.6891954343117617, 1.6822546562041789, 1.674848249352646, 1.6670496784284741, 1.6589290806768537, 1.6505511917013982, 1.641974055109281, 1.6332484530369407, 1.6244179572040534, 1.6155194881772565, 1.606584278032321, 1.5976391521689612, 1.5887080741462429, 1.5798139291051336, 1.5709805542956785, 1.5622350584767886, 1.5536105055275391, 1.5451490720179943, 1.5369058241984135, 1.5289532965911781, 1.5213870900454347, 1.514332736276073, 1.5079540870699839, 1.5024634578433778, 1.4981336490010704, 1.4953117215052729, 1.4944339171885448, 1.4960402497302474, 1.5007858749617118, 1.5094442199663785, 1.5228939999198758, 1.5420791033728223, 1.567928196603066, 1.6012224867801654, 1.6424094437771037, 1.6913811200244295, 1.747266954276453, 1.808320780262104, 1.8719864797251078, 1.9351835658220977, 1.9947667116724359, 2.0480263195688257, 2.0930703312884265, 2.1289830093553501, 2.1557561710725088, 2.1740686890484411, 2.1850149688919727, 2.1898607214926726, 2.1898644067672115, 2.186169329589613, 2.1797531778094492, 2.1714165448879159, 2.1617939781285314, 2.1513756205267978, 2.1405319552161819, 2.1295375399587164, 2.118591840249711, 2.1078365747011789, 2.0973696708263327, 2.0872562350903934, 2.077537035570526, 2.0682349834064309, 2.059360040863357, 2.0509129116735334, 2.0428877992052317, 2.0352744565846881, 2.0280597020311775, 2.0212285319675898, 2.0147649326109076, 2.0086524661763741, 2.0028746890607496, 1.9974154451323689, 1.9922590664997317, 1.9873905060289299, 1.9827954197884301, 1.9784602130239028, 1.9743720598285097, 1.9705189040952473, 1.9668894473999492, 1.963473128009543, 1.9602600941179, 1.9572411735921771, 1.9544078418974173, 1.9517521894063774, 1.9492668889575078, 1.9469451642658706, 1.9447807596016964, 1.9427679110091216, 1.9409013192341511, 1.9391761244551271, 1.937587882855059, 1.9361325450366671, 1.9348064362547759, 1.9336062384238781, 1.9325289738482407, 1.9315719906159303, 1.9307329495974435, 1.9300098129896839, 1.9294008343496833, 1.9289045500667961, 1.9285197722270859, 1.9282455828306613, 1.928081329328728, 1.928026621454372, 1.9280539719824594, 1.9281360475607241, 1.9282729202136148, 1.9284647101228829, 1.9287115858394301, 1.9290137645802734, 1.929371512611068, 1.929785145714777, 1.930255029747129, 1.9307815812794749, 1.9313652683300118, 1.9320066111840619, 1.9327061833044068, 1.9334646123323904, 1.9342825811808437, 1.9351608292193452, 1.9361001535525937, 1.9371014103923738, 1.9381655165231326, 1.9392934508609503, 1.9404862561056713, 1.9417450404846168, 1.9430709795859358, 1.9444653182793745, 1.945929372719974, 1.9474645324298472, 1.9490722624513201, 1.9507541055627122, 1.9525116845456423, 1.9543467044901535, 1.9562609551207548, 1.9582563131218973, 1.9603347444373607, 1.9624983065118076, 1.9647491504364079, 1.9670895229519447, 1.9695217682538391, 1.97204832953137, 1.9746717501606645, 1.9773946744544346, 1.9802198478520998, 1.9831501164122856, 1.9861884254411051, 1.9893378170592073, 1.9926014264709844, 1.9959824766553245, 1.9994842711422298, 2.0031101844765415, 2.0068636498931935, 2.0107481436384087, 2.0147671652633665, 2.0189242130890426, 2.0232227538892302, 2.0276661856583869, 2.0322577921169129, 2.0370006873532249, 2.0418977487022962, 2.0469515356052219, 2.0521641917782971, 2.0575373275285687, 2.0630718784795916, 2.0687679363029234, 2.0746245462769752, 2.080639465607943, 2.0868088754380407, 2.0931270383371454, 2.0995858918304129, 2.1061745671838739, 2.1128788212960692, 2.1196803682123262, 2.1265560956179757, 2.1334771508859958, 2.140407881155316, 2.1473046129426856, 2.1541142595657909, 2.1607727500361458, 2.1672032822111253, 2.1733144173543204, 2.1789980546726588, 2.1841273550135396, 2.1885547249997037, 2.1921100285140236, 2.1945992627974942, 2.1958040206724911, 2.195482154104103, 2.1933701472197455, 2.1891877804987399, 2.1826456932254219, 2.1734563888052869, 2.1613490301124472, 2.1460879948607543, 2.1274945793644426, 2.1054704736125229, 2.0800207739474148, 2.0512735313051413, 2.0194924043889215, 1.9850791622793595, 1.9485637349991265, 1.9105812184024453, 1.8718374121751227, 1.833066592626843, 1.7949867125289241, 1.7582576447303706, 1.723447335023832, 1.6910090575080186, 1.6612708773944407, 1.6344364731432093, 1.6105950609636213, 1.5897374713049828, 1.5717753958984653, 1.5565612621730718, 1.5439068662294269, 1.5335996068899076, 1.5254157811727413, 1.5191308653133351, 1.5145270074080437, 1.5113981209678553, 1.5095530285110801, 1.5088170962869776, 1.5090327547144471, 1.5100592355571754, 1.5117717901702199, 1.5140605913446759, 1.5168294681569576, 1.5199945799299577, 1.5234831015298032, 1.5272319665946343, 1.5311866964958138, 1.5438483530888758, 1.5570214887785667, 1.5701022592598568, 1.5827143812720941, 1.5946269119814016, 1.6057020740968544, 1.6158626283403976, 1.6250716869467139, 1.6333203194246213, 1.6406199556100167, 1.6469976696913047, 1.6524931257313007, 1.6571564170477051, 1.6610463283975585, 1.6642287478140974, 1.6667750888511321, 1.668760674628972, 1.6702630945719619, 1.6713605802581291, 1.6721304630985996, 1.6726477775224324, 1.6729840628696735, 1.673206399414108, 1.6733766929477136, 1.6735512017959857, 1.6737802827621979, 1.6741083199897622, 1.6745737936747522, 1.6752094436638763, 1.6760424853702773, 1.677094840998981, 1.6783833566512227, 1.6799199844782235, 1.6817119179001101, 1.6837616764346133, 1.6860671444956843, 1.6886215753357809, 1.6914135768690022, 1.6944271001864064, 1.6976414539130189, 1.7010313679317937, 1.7045671282525365, 1.7082148009060136, 1.7119365568686411, 1.7156911025834174, 1.7194342123004445, 1.7231193500672581, 1.7266983616961962, 1.7301222113040713, 1.7333417337252575, 1.7363083735719524, 1.7389748838831043, 1.7412959617199397, 1.7432288040106478, 1.7447335735852274, 1.7457737718956425, 1.7463165208006826, 1.7463327606990189, 1.7457973761759744, 1.7446892633568951, 1.7429913555972263, 1.7406906262356974, 1.7377780890206502, 1.7342488184381708, 1.7301020132587077, 1.7253411267074492, 1.7199740851085565, 1.7140136128873096, 1.7074776746153988, 1.7003900335939914, 1.6927809107716856, 1.684687707604567, 1.6761557327403835, 1.6672388475477955, 1.6579999238320675, 1.6485109950013155, 1.6388529874688367, 1.6291149500412951, 1.6193927598661926, 1.6097873706470889, 1.6004027663674314, 1.5913438619123659, 1.5827146120053859, 1.5746165176383353, 1.5671475453885146, 1.5604012340995788, 1.5544655378891019, 1.5494208539556478, 1.5453367986893047, 1.5422676438456113, 1.5402468199847468, 1.5392813648723576, 1.5393474497365851, 1.5403880354554671, 1.5423133029586715, 1.545003903568313, 1.5483164855503189, 1.5520905496061237, 1.5561555595381156, 1.5603373792890063, 1.564463458557197, 1.5683666833430643, 1.5718884547316208, 1.5748825252956353, 1.5772228750835215, 1.5788225257905535, 1.5796780137890272, 1.5799709810351075, 1.5802913229100215, 1.5820945408878115, 1.5884879322679659, 1.6049296270343767, 1.6375099570269727, 1.6853540838828285, 1.7345045986736487, 1.769617846432129, 1.7878306817380789, 1.7945842404663095, 1.7954994278286764, 1.7939747158743991, 1.7916874878189573, 1.7893803602470062, 1.7873500497433963, 1.7856949146082264, 1.7844315242007243, 1.7835477339204446, 1.7830261118945785, 1.7828537731001122, 1.782968518414936, 1.7833140830900724, 1.7838940865850246, 1.7847131799646032, 1.7857743692790691, 1.7870738666039594, 1.7885915459962169, 1.7902735945028365, 1.7920014254193981, 1.7935369300882724, 1.7944290071143643, 1.7938640969372366, 1.7904610337025111, 1.7820961558925317, 1.7660785398928707, 1.7403094550895819, 1.7056734341123545, 1.6676979241065504, 1.6341483193716537, 1.6100123619006597, 1.5955739312434647, 1.5883938486240254, 1.5856876106958591, 1.5853640238666826, 1.5861151885363398, 1.5872043094087844, 1.5882495043739477, 1.5890736366752338, 1.5896131509896343, 1.5898659297841806, 1.589862300028694, 1.5896491343495742, 1.5892811884906173, 1.5888163818993044, 1.5883131991203168, 1.587829213055981, 1.5874201896086113, 1.5871394895081687, 1.5870376273039861, 1.5871619284930329, 1.5875562699806731, 1.5882609108818058, 1.5893124281621152, 1.5907437697945253, 1.5925844305643182, 1.5948607453986119, 1.5975962847832788, 1.6008123287275415, 1.6045283914931319, 1.6087627697305269, 1.6135330915937811, 1.6188568526959872, 1.6247519344728589, 1.6312371091158806, 1.6383325398558359, 1.6460602828802693, 1.6544447839018996, 1.6635133334446399, 1.6732963926008027, 1.683827612188709, 1.6951432197047851, 1.7072801992133355, 1.7202722677189379, 1.7341419347627136, 1.7488857157573707, 1.7644475342557719, 1.7806720571831858, 1.7972247759505651, 1.8134595224108137, 1.8282106321298266, 1.8395001654403205, 1.8442177956853985, 1.8380195975964519, 1.8160245792011249, 1.7750275415331367, 1.7168852640957248, 1.6502028559288999, 1.5870907252002671, 1.5369450404022857, 1.5030506052553161, 1.4837887874392559, 1.4755230733204296, 1.4746286822764532, 1.4782780596350382, 1.4845094366188918, 1.4920457904593707, 1.5000870151799823, 1.5081451898891289, 1.5159301665496578, 1.5232747613588693, 1.5300872583419782, 1.5363216830659034, 1.5419593310762596, 1.54699734566159, 1.5514417014749948, 1.5553029528456914, 1.5585937341536789, 1.5613273907360123, 1.5635173625223566, 1.5651770957461113, 1.5663203555923375, 1.5669618756393349, 1.5671183208049047, 1.5668095658949639, 1.566060304419614, 1.5649020015307582, 1.5633751872991317, 1.5615320459176656, 1.5594391843677786, 1.5571803513722702, 1.5548587174260191, 1.5525981218225839, 1.5505424650151278, 1.5488522297467313, 1.5476970524770775, 1.5472434812722364, 1.5476377015144851, 1.5489841717521722, 1.5513226870487009, 1.5546079862903439, 1.558696984727177, 1.56334835035764, 1.5682371334076557, 1.5729839025801389, 1.5771944250769476, 1.5805036016972576, 1.5826168547196082, 1.5833432879536211], [1.7371647053282882, 1.7369866749713823, 1.7364693176281918, 1.7356621704358584, 1.7346455088547927, 1.7335266098203128, 1.7324335750035662, 1.7315044271832312, 1.7308648543467777, 1.730576364973021, 1.7305065250024569, 1.7299987660951757, 1.7270702889163103, 1.7168267049401034, 1.6904938026653613, 1.6431895121551756, 1.5912891777105138, 1.5581695242385407, 1.5448654518256981, 1.5414035466162901, 1.5409803277302714, 1.5407283629655018, 1.5396947886778389, 1.537664939547849, 1.5346828053272092, 1.5308777776882176, 1.5264091710390162, 1.5214549100818575, 1.5162169892916832, 1.5109332919098868, 1.5058910694790828, 1.5014385658627878, 1.4979903544088669, 1.4960200110713786, 1.4960318081649311, 1.4985029524909892, 1.5037922403940276, 1.5120226174643641, 1.5229639514136044, 1.5359615293446884, 1.5499608946057934, 1.5636563366967786, 1.5757398315327884, 1.5851745312792576, 1.5913969113192983, 1.594380530801718, 1.5945548535180281, 1.5926286483153393, 1.5893914620715259, 1.5855546336258368, 1.5816610830682247, 1.5780613853325569, 1.5749353134299173, 1.5723345898149987, 1.5702283514724733, 1.568541172350346, 1.5671802858822916, 1.566052661544334, 1.5650742408201308, 1.564173853974772, 1.5632939084672115, 1.5623893454837445, 1.5614258294235401, 1.560377737287715, 1.5592262478158523, 1.5579576651387674, 1.5565620172973289, 1.5550319206922036, 1.5533616792436591, 1.5515465798976869, 1.5495823468405618, 1.547464721152858, 1.5451891383493868, 1.5427504821799272, 1.540142898755595, 1.5373596604690694, 1.5343930744963123, 1.5312344362906898, 1.5278740349929743, 1.5243012259170143, 1.5205045964517367, 1.5164722676709186, 1.5121923974553655, 1.5076539863673186, 1.5028481417755184, 1.4977700398787317, 1.4924219572436752, 1.4868179525447711, 1.4809911134912619, 1.4750048226671062, 1.4689703689593576, 1.4630746473240162, 1.4576239713137427, 1.4531136203324959, 1.4503381245913554, 1.4505643553375624, 1.455795460750738, 1.4691467039860666, 1.4952968302918299, 1.5407765881240558, 1.613352502528524, 1.7189979501379877, 1.8551931898046401, 2.0037961919950456, 2.13403508951304, 2.2201084092076746, 2.2562922621258088, 2.2538256793253217, 2.2285676288033418, 2.1930821757907739, 2.1550469925756301, 2.1184261990694377, 2.0849510952125034, 2.0551694332277903, 2.029058716951651, 2.0063522498813215, 1.9867021477839195, 1.9697561472479406, 1.9551907083469713, 1.9427227276794534, 1.9321112531114231, 1.9231548968439569, 1.9156877314442429, 1.909574983038496, 1.9047091033358732, 1.9010064451877979, 1.8984045997206787, 1.8968603822240797, 1.8963484308335019, 1.8964238295207325, 1.8966502285421569, 1.8970282379259067, 1.8975588782236226, 1.8982435862998839, 1.8990842235011141, 1.9000830862684086, 1.9012429192767779, 1.9025669312020976, 1.9040588132350733, 1.9057227604804874, 1.9075634963961154, 1.9095863004439422, 1.9117970391383339, 1.9142022006900319, 1.9168089334492713, 1.919625088353585, 1.9226592655763277, 1.9259208655494406, 1.9294201444940349, 1.9331682745247223, 1.9371774082924398, 1.9414607479781079, 1.9460326182318861, 1.9509085423429287, 1.9561053204890579, 1.9616411083127125, 1.9675354932330962, 1.9738095647560343, 1.9804859734666069, 1.987588971233452, 1.9951444222084849, 2.0031797701883236, 2.0117239424282087, 2.0208071625465602, 2.0304606350246623, 2.0407160500487671, 2.051604838815424, 2.063157084282389, 2.0753999586087057, 2.0883555135826208, 2.1020375911510776, 2.1164475445229463, 2.1315683635829532, 2.1473566810719809, 2.1637320031760483, 2.1805623763984658, 2.1976456108359521, 2.2146852074059034, 2.2312604293879308, 2.2467907645539427, 2.2604967225615709, 2.2713620026129475, 2.2781070288354863, 2.2791907280803101, 2.2728649523047877, 2.2573102688554023, 2.2308755989660187, 2.1924181582510869, 2.1416903901900279, 2.0796605874556864, 2.0086213885439861, 1.9319799982084069, 1.8537436302496415, 1.77785362712507, 1.7075888853374555, 1.6452089517552, 1.5918834423384514, 1.5478426850367994, 1.5126374782769563, 1.4854094862747169, 1.4651145066696327, 1.4506793419869926, 1.4410969701555167, 1.4354746181064342, 1.433050406015566, 1.4331913536698857, 1.4353817610678028, 1.4392076780865612, 1.44434075902821, 1.4505232013022507, 1.457554494961381, 1.4652801600612095, 1.4735823643698283, 1.4823721858692678, 1.4915832430172968, 1.5011664187523481, 1.5110854276607435, 1.5213130067582277, 1.5318275429396411, 1.5426099823446191, 1.5536408991249298, 1.5648976352983555, 1.5763514622865695, 1.5879647613769894, 1.5996882772812713, 1.6114585672447492, 1.6231958458853541, 1.6348025064461169, 1.6461626692973641, 1.6571431479085437, 1.66759620481744, 1.6773643681580852, 1.6862873743412332, 1.6942109968426167, 1.7009971499228043, 1.7065342916149322, 1.7107468910799961, 1.7136026689363899, 1.7151165239080497, 1.7153505123725188, 1.7144098569587924, 1.7124355795950854, 1.7095948322239223, 1.7060702316604666, 1.7020494692562802, 1.6977162124372429, 1.6932429409401908, 1.6887859693588632, 1.6844825786930018, 1.6804499541071858, 1.6767855094975039, 1.6735681532429783, 1.6708600848114172, 1.6687087800005547, 1.6671489009128859, 1.6662039406503515, 1.665887474837382, 1.6662039406503391, 1.667148900912867, 1.6687087800005582, 1.670860084811411, 1.6735681532429696, 1.6767855094975006, 1.6804499541071878, 1.684482578693006, 1.6887859693588649, 1.693242940940197, 1.6977162124372522, 1.7020494692562802, 1.7060702316604517, 1.7095948322239209, 1.7124355795950843, 1.7144098569587951, 1.7153505123725092, 1.715116523908043, 1.7136026689363884, 1.7107468910799974, 1.7065342916149278, 1.7009971499228118, 1.6942109968426156, 1.6862873743412312, 1.6773643681580808, 1.6675962048174346, 1.6571431479085508, 1.6461626692973452, 1.6348025064461118, 1.6231958458853595, 1.6114585672447403, 1.5996882772812788, 1.5879647613769985, 1.5763514622865664, 1.5648976352983572, 1.5536408991249293, 1.5426099823446129, 1.531827542939644, 1.5213130067582368, 1.511085427660753, 1.5011664187523532, 1.4915832430172959, 1.4823721858692693, 1.4735823643698227, 1.4652801600612053, 1.4575544949613743, 1.450523201302256, 1.4443407590282105, 1.4392076780865606, 1.435381761067805, 1.4331913536698866, 1.4330504060155678, 1.4354746181064351, 1.4410969701555061, 1.4506793419869843, 1.4651145066696383, 1.4854094862747584, 1.5126374782769931, 1.5478426850368128, 1.5918834423384507, 1.645208951755248, 1.7075888853374879, 1.7778536271250531, 1.8537436302496744, 1.9319799982084123, 2.0086213885439763, 2.0796605874556495, 2.1416903901900799, 2.1924181582511277, 2.2308755989659779, 2.2573102688554063, 2.2728649523047784, 2.2791907280803057, 2.2781070288354961, 2.2713620026129533, 2.260496722561558, 2.2467907645539187, 2.2312604293879237, 2.2146852074058874, 2.1976456108359463, 2.1805623763984756, 2.1637320031760159, 2.1473566810719324, 2.131568363582927, 2.1164475445229454, 2.10203759115109, 2.0883555135826142, 2.0753999586086929, 2.0631570842823574, 2.0516048388154107, 2.040716050048768, 2.0304606350246486, 2.0208071625465434, 2.0117239424281834, 2.0031797701883369, 1.995144422208482, 1.9875889712334212, 1.9804859734666023, 1.9738095647560105, 1.9675354932330804, 1.961641108312709, 1.9561053204890611, 1.9509085423429136, 1.9460326182318803, 1.9414607479780921, 1.9371774082924371, 1.9331682745247356, 1.9294201444940304, 1.9259208655494566, 1.9226592655763379, 1.9196250883535979, 1.916808933449262, 1.9142022006900448, 1.9117970391383521, 1.9095863004439335, 1.9075634963961245, 1.9057227604804878, 1.9040588132350798, 1.9025669312020961, 1.9012429192767772, 1.9000830862683988, 1.8990842235011203, 1.8982435862998721, 1.8975588782236201, 1.8970282379259107, 1.8966502285421662, 1.8964238295207274, 1.8963484308334777, 1.8963861249455722, 1.8964992459179359, 1.8966879097421625, 1.8969523100149925, 1.8972927183553365, 1.8977094849895257, 1.8982030395062719, 1.8987738917833119, 1.8994226330880224, 1.9001499373545285, 1.9009565626405891, 1.9018433527674778, 1.9028112391466774, 1.9038612427972674, 1.9049944765584756, 1.9062121475015625, 1.9075155595457782, 1.9089061162830434, 1.9103853240157114, 1.9119547950116762, 1.913616250981399, 1.9153715267797566, 1.917222574335455, 1.91917146681045, 1.9212204029888749, 1.9233717118945628, 1.9256278576335661, 1.9279914444552153, 1.9304652220216059, 1.9330520908712812, 1.9357551080576696, 1.9385774929354485, 1.9415226330607527, 1.9445940901606127, 1.9477956061154504, 1.9511311088831769, 1.9546047182765678, 1.9582207514829058, 1.9619837281900954, 1.9658983751511638, 1.9699696299808385, 1.9742026439333968, 1.9786027833534401, 1.9831756294267409, 1.987926975775703, 1.9928628233487711, 1.9979893719344035, 2.0033130074906502, 2.0088402843107205, 2.0145779008413358, 2.0205326677244786, 2.0267114663378258, 2.0331211957547102, 2.0397687056189553, 2.0466607119203006, 2.0538036920477847, 2.0612037547732034, 2.0688664799536722, 2.0767967217244254, 2.0849983677513673, 2.0934740457108032, 2.1022247665383076, 2.1112494921245393, 2.1205446130345837, 2.1301033194992005, 2.1399148464279216, 2.1499635706175124, 2.160227935856915, 2.1706791795421898, 2.181279833164937, 2.191981969289289, 2.2027251703631396, 2.2134342012839814, 2.2240163799315478, 2.2343586603483891, 2.2443244749999098, 2.2537504292597506, 2.2624430069381578, 2.2701755339679823, 2.2766857604267519, 2.2816745575331843, 2.2848063782603902, 2.2857122795578859, 2.2839964180660504, 2.279246959050703, 2.27105221227121, 2.2590224518156039, 2.2428172239290394, 2.2221769770662303, 2.1969566302048902, 2.1671574242533516, 2.1329524058489375, 2.0947005799516036, 2.0529454940194309, 2.0083959139339598, 1.9618890831160605, 1.9143401990156412, 1.8666843538954527, 1.8198185144185324, 1.7745507918498955, 1.7315624489275734, 1.6913854076539878, 1.6543952441612131, 1.6208174410720368, 1.5907433672998648, 1.5641520920111405, 1.5409345012147637, 1.5209169650779601, 1.5038827155757304, 1.4895899348402288, 1.4777862177547125, 1.4682195286060236, 1.4606460403185728, 1.4548353676318679, 1.4505737282917703, 1.4476655286748739, 1.4459338023103157, 1.4452198517888422, 1.4453823687997196, 1.4462962398833998, 1.4478511894319477, 1.4499503666933693, 1.4525089490016627, 1.4554528076055226, 1.4587172636492975, 1.4622459485332346, 1.4659897737259846, 1.46990600904194, 1.4823407379775584, 1.4952454431856121, 1.5081062532627554, 1.5205806686901393, 1.5324390453513141, 1.5435274528467247, 1.5537444224251644, 1.5630265828652004, 1.571339876098959, 1.5786741673898745, 1.5850398073632881, 1.5904652009334386, 1.5949947803232334, 1.5986870215036577, 1.6016123186650817, 1.603850658674727, 1.6054891271481635, 1.6066193353649909, 1.6073348865296813, 1.6077290045951311, 1.6078924338347811, 1.6079116885510736, 1.6078676963483403, 1.6078348416026758, 1.6078803832781068, 1.6080641964560991, 1.6084387713435015, 1.6090493969274802, 1.6099344575255601, 1.6111257773229015, 1.6126489585970505, 1.6145236719514351, 1.6167638701814016, 1.619377910484235, 1.6223685820701355, 1.6257330475379947, 1.6294627164575548, 1.6335430782357743, 1.6379535282372588, 1.6426672258498551, 1.64765102522643, 1.6528655182836045, 1.658265224826345, 1.6637989563174227, 1.6694103681694701, 1.6750387013608401, 1.6806196989945581, 1.686086668799972, 1.6913716502684069, 1.6964066366370969, 1.7011247982838984, 1.7054616555341762, 1.7093561549075633, 1.7127516123012847, 1.7155964980084679, 1.7178450502620208, 1.719457714904971, 1.7204014180189648, 1.7206496856128146, 1.720182629936382, 1.7189868260450254, 1.7170551053448642, 1.7143862953075981, 1.7109849364256724, 1.7068610085779217, 1.7020296988568708, 1.6965112409820202, 1.6903308520482845, 1.683518784939442, 1.676110503837851, 1.6681469757395715, 1.6596750530701492, 1.6507479024470488, 1.6414254144128111, 1.6317745118675393, 1.6218692654976306, 1.6117907279981394, 1.6016264200401613, 1.5914694417129158, 1.5814172399835265, 1.5715701240058375, 1.5620296661177615, 1.5528971331698118, 1.5442720415845863, 1.5362508191803412, 1.5289254144538331, 1.5223815752028651, 1.5166964906497244, 1.5119356035445595, 1.5081486491818199, 1.5053652997288407, 1.5035910699834751, 1.5028042588637325, 1.5029545963639819, 1.5039639590627563, 1.5057291045489964, 1.5081259851413482, 1.5110149439251743, 1.5142460292085365, 1.5176637925596537, 1.5211112461468708, 1.5244331711882668, 1.5274798464466179, 1.5301139655530493, 1.5322271854544258, 1.533781086972819, 1.534906161607853, 1.5361316619987777, 1.5388786775156134, 1.5463133292398965, 1.5639082838354941, 1.5965846644299202, 1.6400180854765094, 1.6792936599090404, 1.7045403632555636, 1.7174156384711612, 1.7232663883559558, 1.7259696901230352, 1.7275225736025468, 1.7287936959270522, 1.7300953526613889, 1.7314845403990426, 1.7329068808022348, 1.7342652405776624, 1.7354541485650181, 1.7363784635866464, 1.7369641776093123, 1.7371647053282882, 1.7370306590203608, 1.7366348130812979, 1.7359957378677053, 1.7351433082668499, 1.7341169249933477, 1.7329626810439711, 1.7317290595517298, 1.7304604321482884, 1.7291869930975161, 1.7279085533422878, 1.7265674505829076, 1.7250022936624165, 1.7228695487071954, 1.7195176133857968, 1.713813599592493, 1.7040034034303599, 1.6879113598261357, 1.6640782349222125, 1.6339496919583423, 1.6029346810304943, 1.577443991863718, 1.5605226183408731, 1.551255281747461, 1.5471161958744277, 1.5458270999302262, 1.545885851732115, 1.5464461747765381, 1.5470806133650978, 1.5475993332187066, 1.5479394318688897, 1.548103197044937, 1.5481250938055615, 1.5480544969873495, 1.5479467848998387, 1.5478587977333493, 1.5478465448697489, 1.5479640553951337, 1.548262802854298, 1.5487914200928774, 1.5495955709637834, 1.5507179246503542, 1.5521982178404317, 1.55407340724137, 1.556377919508287, 1.5591440032539536, 1.5624021821682237, 1.5661818020970781, 1.5705116601974523, 1.5754207023049183, 1.5809387760095033, 1.5870974314279849, 1.5939307682698924, 1.6014763347253265, 1.6097760883607588, 1.6188774280695513, 1.6288342942218068, 1.6397083039632692, 1.6515698277631237, 1.6644988004183969, 1.6785848567915334, 1.6939260215965877, 1.710624542253246, 1.7287773205991317, 1.7484564071677822, 1.7696715789580078, 1.7923012890565246, 1.8159694707870102, 1.8398345897819126, 1.8622514741711744, 1.8802936312979326, 1.8892561380489412, 1.8826111278533562, 1.8534171334255143, 1.798079977398567, 1.7210112950562741, 1.6352527378500428, 1.5562612096154436, 1.4942095448461814, 1.451610508135472, 1.4258922561867307, 1.4127710039675845, 1.4082316002830519, 1.4091879241495864, 1.413482728156511, 1.419681207312546, 1.4268547836474879, 1.4344122569053741, 1.4419817511367723, 1.4493322369924273, 1.4563225799284274, 1.4628687946528049, 1.4689230715998631, 1.4744603502511755, 1.4794697279736557, 1.4839489815806977, 1.4879011106803015, 1.4913322127510948, 1.4942502543963718, 1.4966644657827541, 1.4985851900783991, 1.5000240879804927, 1.5009946421048799, 1.5015129347156801, 1.5015986890331638, 1.5012765706157023, 1.5005777404412952, 1.4995416329148086, 1.4982178962078154, 1.4966683743001223, 1.4949689253975891, 1.4932107584614855, 1.4915008338759079, 1.4899607344434884, 1.4887233078194093, 1.4879263752770873, 1.4877029804788626, 1.4881681039210286, 1.4894025407922133, 1.4914356748175936, 1.4942299605965126, 1.49767067349395, 1.5015644638578871, 1.505649175247064, 1.5096153342065119, 1.5131372071506659, 1.5159091193142951, 1.5176815099807723, 1.5182912140623883], [1.8490428839406021, 1.8487276359548215, 1.847795759259379, 1.8462884085103461, 1.844272471601752, 1.8418373451085004, 1.8390892279126332, 1.8361416737402165, 1.8330996861981927, 1.8300304898038895, 1.8269036199890847, 1.8234579563334701, 1.8188982292477824, 1.8112350357255269, 1.7961658243491039, 1.766930088680039, 1.7213149717688219, 1.6747007710933042, 1.6467346833671226, 1.6370192792847738, 1.6357349921146411, 1.6365044011824645, 1.6368362196841226, 1.6360451888087486, 1.6340934138855998, 1.6311421839136346, 1.6274031630159067, 1.6230984769280008, 1.6184583458562414, 1.6137308569282696, 1.6091944605469211, 1.6051686709996569, 1.6020191580747529, 1.6001525048615901, 1.5999947274514104, 1.6019476051175703, 1.6063198274630048, 1.6132378213968523, 1.6225541180700891, 1.6337853076541127, 1.6461177016223922, 1.6585060148130701, 1.6698562174215195, 1.6792422519393502, 1.6860832111544215, 1.6902208695085177, 1.6918810252518357, 1.6915494737396952, 1.689818638367848, 1.6872561454721335, 1.6843228678669604, 1.6813424368879106, 1.6785083978781523, 1.6759110266756134, 1.6735692617310691, 1.6714591440069171, 1.6695353140266989, 1.6677453579881623, 1.6660382972284269, 1.6643688923887838, 1.6626992541054786, 1.6609988864221286, 1.65924392625122, 1.6574160535507465, 1.6555013433076602, 1.6534891983886113, 1.6513714225135439, 1.6491414477400217, 1.6467937078839476, 1.64432313931519, 1.6417247878354968, 1.6389935013940014, 1.6361236912305182, 1.6331091476003903, 1.6299429000415897, 1.6266171160680727, 1.6231230363208551, 1.619450948867601, 1.6155902109908469, 1.6115293341520589, 1.6072561579165905, 1.6027581530508932, 1.5980229151578744, 1.5930389418092921, 1.5877968339659736, 1.5822911357190728, 1.5765231396706838, 1.570505162111083, 1.5642670705179835, 1.5578662871902289, 1.5514031957693992, 1.5450449981362435, 1.5390628451506343, 1.533889825990147, 1.5302115055105896, 1.5291061884945139, 1.5322574688352775, 1.5422602064152318, 1.5630115198662, 1.6000652649736509, 1.660524172646987, 1.7514705676805238, 1.87554130553433, 2.0239636169532456, 2.173046637281308, 2.2930242297734633, 2.3653991765140159, 2.3909407292969278, 2.3825961989857962, 2.3549442355826735, 2.3188567493587025, 2.2808974912884925, 2.2444884300106747, 2.2111583330544908, 2.1814126911308667, 2.1552492572771627, 2.1324391878941995, 2.112672184801883, 2.0956276399523301, 2.0810070354309147, 2.0685466861664747, 2.0580208891200864, 2.0492406893342898, 2.0420509119223862, 2.0363267733239661, 2.0319706965779787, 2.028909606642455, 2.0270928109539272, 2.0264904923106242, 2.0265794099173271, 2.0268464023241628, 2.0272921895883163, 2.0279179761357495, 2.0287254572862095, 2.0297168284449452, 2.0308947970176736, 2.0322625971196073, 2.0338240071633882, 2.0355833704221271, 2.0375456186743373, 2.0397162990420035, 2.0421016041367168, 2.0447084056207778, 2.0475442912793635, 2.050617605670479, 2.0539374943787498, 2.0575139518332306, 2.0613578725538924, 2.065481105557101, 2.0698965114597869, 2.0746180215618661, 2.0796606978271135, 2.0850407921966947, 2.0907758030105845, 2.0968845254221611, 2.103387091496872, 2.1103049940785512, 2.1176610863541598, 2.1254795461619751, 2.1337857902265398, 2.1426063183395674, 2.1519684606076557, 2.1618999916857202, 2.1724285636680163, 2.1835808930569893, 2.1953816157580461, 2.2078516958655232, 2.2210062373439192, 2.2348515006607368, 2.2493808672091329, 2.2645694220050814, 2.2803667407848596, 2.2966873769567631, 2.3133984614047267, 2.3303037844568473, 2.3471237821792905, 2.3634710994368739, 2.3788220130000912, 2.3924852094228113, 2.4035715306249661, 2.4109716161696269, 2.4133529335237371, 2.4091928410648191, 2.3968680205708806, 2.3748187891519903, 2.3417938233789961, 2.2971524721910153, 2.241161468789191, 2.1751876157446537, 2.1016862642844805, 2.0239380380008907, 1.9455809937064343, 1.8700722079325549, 1.8002374393253731, 1.7380170610644676, 1.6844284231486508, 1.6396920458313118, 1.6034400680440783, 1.5749353388178733, 1.5532573154152334, 1.5374380299282266, 1.5265493563713863, 1.5197512285405379, 1.5163123320774008, 1.5156133551243403, 1.5171403552696092, 1.5204733466201632, 1.5252732687714716, 1.5312691289067955, 1.5382462155757162, 1.5460357389436112, 1.5545059427824326, 1.5635545717215233, 1.5731025038846898, 1.5830883357486183, 1.5934637095789961, 1.6041891908666088, 1.615230527029345, 1.6265551466868249, 1.6381287911724542, 1.6499122084717561, 1.6618578872786829, 1.6739068682962404, 1.6859857432488243, 1.6980040387150186, 1.7098522765353819, 1.7214010928593706, 1.7325018626678599, 1.7429892859098566, 1.7526863105238968, 1.7614115665518331, 1.7689891538638145, 1.7752601898004663, 1.7800950561644782, 1.7834049044404829, 1.785150816250417, 1.7853491731254749, 1.7840722840877103, 1.7814440620484173, 1.7776313519495905, 1.7728321869811912, 1.76726262269158, 1.7611438119659417, 1.7546906863221177, 1.7481031257304145, 1.7415599751731075, 1.7352158180846184, 1.7292001085312139, 1.7236181070513934, 1.7185530347485085, 1.7140689155044198, 1.7102136758037925, 1.7070221831126688, 1.7045190060878888, 1.7027207625466172, 1.7016379811333442, 1.7012764416561537, 1.7016379811333309, 1.702720762546597, 1.7045190060878919, 1.7070221831126628, 1.7102136758037825, 1.7140689155044164, 1.7185530347485098, 1.7236181070513978, 1.729200108531215, 1.7352158180846269, 1.741559975173119, 1.7481031257304174, 1.754690686322099, 1.7611438119659406, 1.7672626226915764, 1.7728321869811925, 1.7776313519495781, 1.7814440620484135, 1.7840722840877021, 1.7853491731254731, 1.7851508162504124, 1.7834049044404878, 1.7800950561644777, 1.775260189800465, 1.7689891538638092, 1.7614115665518271, 1.7526863105239052, 1.7429892859098377, 1.7325018626678532, 1.7214010928593761, 1.7098522765353721, 1.6980040387150259, 1.6859857432488332, 1.6739068682962361, 1.6618578872786844, 1.6499122084717566, 1.6381287911724474, 1.6265551466868291, 1.6152305270293545, 1.6041891908666193, 1.5934637095790012, 1.5830883357486178, 1.5731025038846917, 1.563554571721518, 1.5545059427824275, 1.5460357389436044, 1.5382462155757219, 1.5312691289067957, 1.5252732687714698, 1.5204733466201659, 1.5171403552696099, 1.5156133551243403, 1.5163123320774006, 1.5197512285405315, 1.5265493563713788, 1.53743802992823, 1.5532573154152676, 1.5749353388179037, 1.6034400680440883, 1.6396920458313116, 1.684428423148691, 1.7380170610644974, 1.8002374393253606, 1.8700722079325882, 1.9455809937064399, 2.0239380380008827, 2.1016862642844392, 2.1751876157447212, 2.2411614687892514, 2.2971524721909473, 2.3417938233790063, 2.374818789151977, 2.3968680205708668, 2.409192841064816, 2.4133529335237398, 2.4109716161696197, 2.4035715306249492, 2.3924852094228051, 2.3788220130000761, 2.3634710994368677, 2.3471237821793012, 2.3303037844568126, 2.3133984614046743, 2.2966873769567342, 2.2803667407848565, 2.264569422005096, 2.2493808672091244, 2.2348515006607244, 2.2210062373438855, 2.2078516958655077, 2.1953816157580452, 2.1835808930569733, 2.1724285636679959, 2.1618999916856918, 2.1519684606076712, 2.1426063183395607, 2.1337857902265034, 2.125479546161968, 2.1176610863541332, 2.1103049940785317, 2.1033870914968684, 2.0968845254221642, 2.0907758030105668, 2.0850407921966871, 2.0796606978270962, 2.0746180215618626, 2.0698965114598029, 2.0654811055570952, 2.0613578725539115, 2.057513951833243, 2.0539374943787658, 2.0506176056704688, 2.04754429127938, 2.0447084056208014, 2.042101604136707, 2.0397162990420132, 2.0375456186743364, 2.0355833704221347, 2.0338240071633855, 2.0322625971196073, 2.0308947970176616, 2.0297168284449509, 2.0287254572861957, 2.0279179761357455, 2.0272921895883229, 2.026846402324173, 2.0265794099173218, 2.0264904923105957, 2.0265349449376076, 2.026668348421591, 2.0268908396631948, 2.0272026471355096, 2.0276040913427491, 2.028095585463241, 2.0286776361776533, 2.0293508446836692, 2.0301159078984363, 2.0309736198500321, 2.0319248732598205, 2.0329706613170311, 2.0341120796472558, 2.035350328476083, 2.036686714989318, 2.0381226558902075, 2.0396596801540929, 2.0412994319800313, 2.0430436739376026, 2.0448942903060687, 2.0468532906020767, 2.0489228132888422, 2.051105129657977, 2.0534026478727592, 2.0558179171562636, 2.058353632104637, 2.0610126370998536, 2.0637979307895642, 2.0667126705935055, 2.0697601771865752, 2.0729439388973656, 2.0762676159461564, 2.0797350444307785, 2.0833502399481487, 2.0871174007160769, 2.0910409100308089, 2.0951253378628474, 2.0993754413517829, 2.1037961639139158, 2.1083926326178135, 2.1131701534139427, 2.1181342037240181, 2.12329042179543, 2.1286445921121873, 2.1342026260125739, 2.1399705365006145, 2.1459544060397793, 2.1521603458851986, 2.1585944452319747, 2.1652627081288767, 2.1721709757165262, 2.1793248308890227, 2.1867294819360557, 2.1943896210858052, 2.2023092531243931, 2.2104914884023095, 2.2189382935384763, 2.2276501919854934, 2.2366259053236432, 2.2458619246996001, 2.2553520002385898, 2.2650865345656728, 2.2750518648355302, 2.2852294160019859, 2.2955947066230511, 2.306116187561754, 2.316753893882689, 2.3274578916123785, 2.3381665045818165, 2.3488043133372942, 2.3592799294356266, 2.3694835660490554, 2.3792844517584437, 2.388528171060762, 2.3970340648542168, 2.4045928889920472, 2.4109650097294861, 2.4158795099353956, 2.419034683568273, 2.420100496073307, 2.4187236643771728, 2.4145360310916661, 2.4071668324894984, 2.3962592421690778, 2.3814911700003245, 2.36259968887809, 2.3394076752286805, 2.3118503765754359, 2.2799988333510455, 2.244076618231186, 2.2044664594886241, 2.1617041517061653, 2.1164587206794767, 2.0694998628618979, 2.0216557833546793, 1.9737661884729736, 1.9266359232496031, 1.8809944062837443, 1.8374647401532713, 1.7965445476407769, 1.7585986803105018, 1.7238623777511681, 1.6924524614017298, 1.6643837692645476, 1.6395881703259916, 1.6179339595226272, 1.5992440407079143, 1.5833119111019169, 1.5699149764967113, 1.5588251134346269, 1.5498166508409217, 1.542672088287143, 1.5371859285060794, 1.5331670052037172, 1.5304396565046876, 1.528844046643955, 1.5282358853972056, 1.5284857433318215, 1.5294781150647072, 1.5311103439048104, 1.5332914897377072, 1.5359411972186563, 1.5389886023694941, 1.542371301516082, 1.5460343961912641, 1.5499296203108124, 1.5540145508897265, 1.5582519002236597, 1.5715698690569633, 1.5852912053989034, 1.598937948787551, 1.6121791369772258, 1.6247835019785546, 1.6365889988580262, 1.6474835091569697, 1.6573928226358132, 1.6662732393799977, 1.674106983533532, 1.6808992021389331, 1.6866757280511868, 1.6914810756359615, 1.6953763509666071, 1.6984369182912351, 1.7007497852212281, 1.7024107573530909, 1.7035214720028273, 1.704186452054312, 1.7045103266743269, 1.7045953495267818, 1.7045393127676709, 1.7044339135261652, 1.7043635860232258, 1.7044047732050569, 1.7046255811458013, 1.7050857396296188, 1.7058367833323789, 1.7069223684673638, 1.7083786474133305, 1.7102346363042504, 1.7125125256878506, 1.7152279005070175, 1.7183898517008906, 1.7220009769815159, 1.7260572824078162, 1.7305480089519985, 1.7354554189825961, 1.7407545859872318, 1.7464132362774694, 1.7523916931179002, 1.7586429710130722, 1.7651130603381795, 1.7717414301699603, 1.7784617607798054, 1.7852028982539883, 1.7918900042049994, 1.7984458559979548, 1.8047922397298271, 1.8108513712019139, 1.8165472801774856, 1.8218070999853029, 1.8265622165578319, 1.8307492460295023, 1.8343108255496239, 1.8371962157648793, 1.8393617240114037, 1.840770964100098, 1.8413949720584057, 1.8412121983302334, 1.8402083970113172, 1.8383764328601067, 1.8357160277945115, 1.832233470520205, 1.8279413154309476, 1.8228580991467105, 1.8170081039512285, 1.8104211958794727, 1.8031327603716429, 1.7951837496542071, 1.7866208431705299, 1.7774967058705649, 1.7678703101097903, 1.7578072673094693, 1.7473800983826444, 1.7366683611152571, 1.7257585524924568, 1.7147437179920799, 1.7037227293624162, 1.6927992341630838, 1.6820803252024488, 1.6716750110900553, 1.6616925734256531, 1.652240859709095, 1.643424486104051, 1.6353428337577984, 1.6280876585614965, 1.6217401443977282, 1.6163673434427952, 1.612018153052418, 1.6087192186794363, 1.6064713368894619, 1.6052469784497367, 1.6049894200556325, 1.6056136907943017, 1.607009187117693, 1.6090434904876312, 1.6115667214664766, 1.6144157329810049, 1.6174176072723681, 1.6203923182592457, 1.6231552106684828, 1.6255215958400693, 1.6273194803555406, 1.6284251380438619, 1.6288562931522776, 1.6289997310383502, 1.6301118693832133, 1.635179126398389, 1.6494268922092028, 1.6775295100908287, 1.7161346014248027, 1.7532646612452525, 1.780401012607437, 1.7975957793864772, 1.8083258408678611, 1.8155645288960103, 1.8210702482006749, 1.8257340301861307, 1.8299554023813456, 1.8338746903203291, 1.8374993900162901, 1.8407722053302236, 1.8436092943851019, 1.8459230004522094, 1.8476357031912343, 1.8486879695240526, 1.8490428839406021, 1.8488059795829515, 1.8481000716377063, 1.8469394434555673, 1.8453473848553155, 1.8433551716664709, 1.841000197236188, 1.8383229046844263, 1.8353621117419907, 1.8321481760783791, 1.8286931051650619, 1.8249760376095299, 1.8209213860622491, 1.8163653327477864, 1.8110048835724095, 1.8043249487940518, 1.7955115678163061, 1.7834053041167599, 1.7666612476381902, 1.7444271426090832, 1.717670485236197, 1.690154487067014, 1.6670492911960797, 1.6516032045034628, 1.6436107969241953, 1.6408469576660092, 1.6409758063418332, 1.642368897482424, 1.6441085206121753, 1.6457546255475197, 1.6471380654474337, 1.6482292237680172, 1.6490649998635345, 1.6497109439835222, 1.6502425088333474, 1.6507361754631189, 1.651265513309391, 1.6518996321868187, 1.6527027512083543, 1.6537342632548762, 1.6550490062970578, 1.6566976196941363, 1.6587269446715274, 1.6611804646498338, 1.6640987943008074, 1.6675202275277452, 1.6714813503888724, 1.6760177190812406, 1.6811645977631446, 1.6869577474465354, 1.6934342557464919, 1.7006333973166035, 1.7085975146907773, 1.7173729062005114, 1.7270106973327441, 1.7375676478444375, 1.74910679910251, 1.761697778342564, 1.7754164221296946, 1.790343115246092, 1.8065587873098654, 1.8241367398557986, 1.8431271826778346, 1.8635292178590952, 1.8852415848440878, 1.90797836160465, 1.9311292782488239, 1.9535393725868735, 1.9731905752493268, 1.9868183100180892, 1.989646628223521, 1.975721215716727, 1.9395912388036749, 1.8796182734648967, 1.801198068995397, 1.7163216043287681, 1.6383321489938278, 1.576096136130779, 1.5321553460183923, 1.5045917005436229, 1.4897135630584655, 1.4838188676646815, 1.4839079376301054, 1.4877882474075976, 1.4939437707245495, 1.5013586498764218, 1.5093648693989774, 1.5175287550883876, 1.525571895057354, 1.5333178399720178, 1.5406567566170408, 1.547522157524164, 1.5538756231723452, 1.5596967831487794, 1.5649767592445016, 1.5697138991038955, 1.5739110397473606, 1.5775738082161022, 1.5807096414847877, 1.5833273225266904, 1.5854369052208737, 1.5870499511328704, 1.5881800344152082, 1.5888434920453243, 1.5890604077978254, 1.5888558203504681, 1.5882611378737022, 1.5873157212445201, 1.5860685626625675, 1.5845799327236449, 1.5829227947930531, 1.5811836920165931, 1.5794627074630463, 1.5778720008340636, 1.5765323704837302, 1.5755673286431433, 1.5750943732957032, 1.5752135474009823, 1.5759940099941179, 1.5774601368044945, 1.5795794409959203, 1.5822550791620207, 1.5853255885012265, 1.5885736152457652, 1.5917438240956339, 1.5945682929246678, 1.5967960307362912, 1.5982222817056242, 1.5987132071341363], [1.9645867122052447, 1.9641204688423335, 1.9627343836241045, 1.9604662734935838, 1.9573783989737841, 1.953555173835321, 1.9490981764306008, 1.9441174070938394, 1.9387175680574336, 1.9329768363204765, 1.9269117338710344, 1.9204126523827709, 1.9131153529815943, 1.9041383431018346, 1.8915849473828139, 1.8719007229090285, 1.8405433641017204, 1.7983140051905648, 1.759698114348637, 1.739287579799057, 1.7342434390425128, 1.7352730953272131, 1.7369925405315481, 1.7375908672289084, 1.7367722452788299, 1.7347162344200178, 1.7317106202014385, 1.7280469579505655, 1.7240032998079071, 1.7198525820936588, 1.7158762751238723, 1.7123761063087446, 1.7096801795021959, 1.7081400576558219, 1.7081148056233761, 1.7099380347556359, 1.7138660349984136, 1.7200104265479212, 1.7282676951212079, 1.7382681609570705, 1.7493724283564223, 1.7607365214499873, 1.7714443677903384, 1.7806755078438068, 1.787854437216186, 1.7927317158255636, 1.7953760423803926, 1.7960934994956761, 1.7953138388897636, 1.7934845653355438, 1.7909977751360182, 1.7881552576647017, 1.7851640313910526, 1.7821497964235387, 1.7791772436498374, 1.7762700589542932, 1.7734272116273238, 1.7706346735332121, 1.7678730501251789, 1.7651220828065499, 1.7623629936361092, 1.7595794626205334, 1.7567578076863106, 1.7538867453045097, 1.7509569652356558, 1.7479606536449164, 1.7448910351674911, 1.7417419659963544, 1.7385075881911312, 1.7351820439639203, 1.7317592435113052, 1.7282326783666349, 1.7245952726352884, 1.7208392659368172, 1.7169561239492834, 1.7129364749681297, 1.7087700738972549, 1.7044457987908528, 1.6999516898476761, 1.6952750472184763, 1.6904026130240322, 1.685320875949323, 1.6800165557294549, 1.674477352915682, 1.6686930913555831, 1.6626574444041324, 1.6563705328855292, 1.6498428320333391, 1.6431010558688379, 1.6361970480760604, 1.629221273149428, 1.6223233865368252, 1.6157437415833036, 1.6098618045057551, 1.6052705653962192, 1.6028902490276407, 1.6041391648061316, 1.6111806745161115, 1.6272510168564049, 1.6570113670117357, 1.7066917293670305, 1.7834177479529523, 1.8926280284696253, 2.032779546472594, 2.1895144407891185, 2.336394681718081, 2.4470019458769934, 2.5092308007075181, 2.52781050880386, 2.5160132635966765, 2.4871358333252815, 2.4508196923581145, 2.4129107188158767, 2.376522694621348, 2.3430995602809332, 2.3131586105800857, 2.2867408927526718, 2.2636642745896394, 2.2436587581331198, 2.2264356704462687, 2.2117210448865432, 2.1992701525004374, 2.1888724287932058, 2.1803517530438956, 2.1735647004827383, 2.1683981290602707, 2.1647667915048561, 2.1626113104266516, 2.1618966727910762, 2.1620024291761082, 2.1623199813780039, 2.1628501799523971, 2.1635944472133941, 2.1645547843330184, 2.1657337813129249, 2.1671346298587779, 2.168761139191731, 2.1706177548326306, 2.1727095803901859, 2.1750424023749053, 2.1776227180396543, 2.1804577662193942, 2.1835555610932449, 2.1869249287294332, 2.1905755461771355, 2.194517982743768, 2.1987637429215825, 2.2033253101928181, 2.2082161906308455, 2.2134509547963597, 2.2190452758764678, 2.2250159612815064, 2.2313809739496886, 2.2381594383363299, 2.2453716243859545, 2.2530389005801288, 2.2611836442498867, 2.2698290935293977, 2.2789991203222235, 2.2887178970927877, 2.2990094217177131, 2.3098968534453457, 2.3214015984833933, 2.3335420649770238, 2.3463319831189198, 2.359778155725385, 2.3738774667660079, 2.3886129293600038, 2.4039485009727777, 2.419822334366712, 2.436138074733639, 2.4527537699895277, 2.469467958230922, 2.4860025789724274, 2.5019825969481571, 2.5169127416558816, 2.5301527088435574, 2.5408937286004214, 2.5481417390592109, 2.5507155093813663, 2.5472714965063288, 2.536369756196172, 2.5165944816008485, 2.4867353667020065, 2.4460190840563203, 2.3943543806530805, 2.3325275695499101, 2.2622733073429022, 2.1861648936465725, 2.1073217509558262, 2.0289986667798705, 1.9541662348859958, 1.8851892227321279, 1.8236636065076661, 1.7704127796788363, 1.7255992923916457, 1.6888933835119591, 1.6596481220683659, 1.6370499789167339, 1.620232068765429, 1.6083499559788463, 1.6006263362842332, 1.5963728034629556, 1.5949963056923255, 1.5959962966779444, 1.5989568596878938, 1.6035366157044244, 1.6094581264661543, 1.6164977424069018, 1.6244763517645211, 1.6332511844790523, 1.642708650043994, 1.6527580958538597, 1.6633263301064503, 1.6743527406365093, 1.685784846068989, 1.6975741320518198, 1.7096720507460654, 1.7220260967099716, 1.7345759191723102, 1.7472494927488633, 1.7599594489319488, 1.7725997701245944, 1.7850431629366841, 1.7971395464524789, 1.8087161918043984, 1.8195800966620423, 1.8295231270061978, 1.8383302627082283, 1.8457909136620165, 1.8517127409657774, 1.8559367969370126, 1.8583522303979565, 1.8589084736583765, 1.8576229011251952, 1.8545824983819117, 1.8499390268505298, 1.8438982877876646, 1.8367050814845005, 1.8286260633984852, 1.8199327944151833, 1.8108869113168993, 1.8017286769006726, 1.7926694227239817, 1.7838877521656236, 1.7755289296941892, 1.7677066645294102, 1.7605064662142633, 1.7539898431765866, 1.7481987703070796, 1.743160019346266, 1.7388890962189889, 1.7353936481809338, 1.7326762877852169, 1.7307368336710363, 1.7295739961825438, 1.7291865454063391, 1.7295739961825285, 1.7307368336710154, 1.7326762877852202, 1.735393648180928, 1.738889096218978, 1.7431600193462622, 1.7481987703070809, 1.7539898431765919, 1.7605064662142635, 1.767706664529419, 1.7755289296942021, 1.7838877521656269, 1.7926694227239588, 1.8017286769006708, 1.8108869113168939, 1.819932794415184, 1.8286260633984699, 1.8367050814845005, 1.8438982877876484, 1.8499390268505234, 1.8545824983819075, 1.8576229011251952, 1.8589084736583761, 1.8583522303979549, 1.85593679693701, 1.8517127409657714, 1.8457909136620261, 1.8383302627082099, 1.8295231270061889, 1.8195800966620477, 1.8087161918043884, 1.797139546452486, 1.7850431629366923, 1.7725997701245899, 1.7599594489319506, 1.7472494927488635, 1.7345759191723029, 1.7220260967099754, 1.7096720507460765, 1.6975741320518305, 1.6857848460689961, 1.6743527406365075, 1.663326330106452, 1.6527580958538537, 1.6427086500439885, 1.6332511844790452, 1.624476351764528, 1.6164977424069022, 1.6094581264661527, 1.6035366157044286, 1.5989568596878958, 1.5959962966779431, 1.5949963056923231, 1.596372803462953, 1.6006263362842257, 1.6083499559788483, 1.6202320687654566, 1.6370499789167585, 1.6596481220683745, 1.6888933835119575, 1.7255992923916759, 1.7704127796788616, 1.8236636065076564, 1.8851892227321585, 1.9541662348860014, 2.0289986667798612, 2.1073217509557853, 2.1861648936466489, 2.2622733073429733, 2.3325275695498244, 2.3943543806530991, 2.4460190840563025, 2.4867353667019816, 2.5165944816008268, 2.5363697561961707, 2.5472714965063337, 2.5507155093813623, 2.5481417390592052, 2.5408937286004072, 2.5301527088435516, 2.5169127416558905, 2.5019825969481237, 2.4860025789723776, 2.4694679582308923, 2.4527537699895254, 2.4361380747336536, 2.419822334366704, 2.4039485009727612, 2.3886129293599652, 2.373877466765991, 2.3597781557253841, 2.3463319831189025, 2.333542064977002, 2.3214015984833591, 2.3098968534453639, 2.2990094217177059, 2.2887178970927486, 2.2789991203222155, 2.269829093529367, 2.261183644249865, 2.2530389005801243, 2.2453716243859581, 2.2381594383363099, 2.2313809739496797, 2.2250159612814864, 2.2190452758764634, 2.2134509547963779, 2.2082161906308388, 2.2033253101928403, 2.1987637429215958, 2.1945179827437871, 2.1905755461771217, 2.1869249287294528, 2.1835555610932724, 2.1804577662193823, 2.1776227180396668, 2.1750424023749049, 2.1727095803901952, 2.1706177548326275, 2.1687611391917287, 2.1671346298587655, 2.1657337813129343, 2.1645547843330029, 2.1635944472133892, 2.1628501799524051, 2.1623199813780158, 2.1620024291761029, 2.1618966727910416, 2.1619495436735527, 2.1621082100425641, 2.1623728331577392, 2.1627436821015587, 2.1632211342539058, 2.1638056759559494, 2.1644979033628373, 2.1652985234845725, 2.1662083554140485, 2.1672283317405547, 2.1683595001471372, 2.1696030251889251, 2.1709601902491182, 2.1724323996679598, 2.1740211810392287, 2.1757281876665377, 2.177555201170406, 2.1795041342345942, 2.1815770334770246, 2.1837760824274195, 2.1861036045905458, 2.1885620665675858, 2.1911540812032002, 2.1938824107198709, 2.1967499697908526, 2.1997598284951341, 2.2029152150856603, 2.2062195184884628, 2.2096762904339093, 2.2132892471026451, 2.2170622701463798, 2.2209994069160253, 2.2251048696992899, 2.2293830337317164, 2.2338384337019273, 2.2384757584189314, 2.2432998432493756, 2.2483156598586946, 2.25352830270656, 2.2589429716453258, 2.2645649498515601, 2.2703995761830282, 2.2764522108866454, 2.2827281933930403, 2.289232790704367, 2.2959711346192173, 2.3029481457259724, 2.3101684417358195, 2.3176362273042823, 2.3253551620031323, 2.3333282025407667, 2.3415574146834763, 2.3500437495946378, 2.3587867784783945, 2.3677843784877899, 2.3770323618399156, 2.3865240389855167, 2.3962497055331307, 2.4061960414818335, 2.4163454102395074, 2.4266750440191527, 2.4371561016804839, 2.4477525851614224, 2.4584201016686009, 2.4691044612229489, 2.4797401036087323, 2.4902483560386215, 2.5005355339263668, 2.5104909132439501, 2.5199846254055438, 2.5288655558961604, 2.5369593672606254, 2.544066816409289, 2.5499625952790765, 2.5543949906757994, 2.5570867287089998, 2.5577374326102293, 2.5560281656432684, 2.5516285331130928, 2.5442067537051267, 2.5334429526060869, 2.5190456526751874, 2.5007710341659664, 2.4784440126874512, 2.4519796018779347, 2.4214024790468365, 2.3868622948269622, 2.3486422114596497, 2.307158538785377, 2.2629502005369853, 2.2166580215549652, 2.1689952654780931, 2.120712172039676, 2.0725581407329288, 2.0252454747876349, 1.9794181902061341, 1.9356284363612775, 1.8943218177358012, 1.8558316379242863, 1.8203810460910239, 1.7880913907923097, 1.7589948035849765, 1.7330490858291969, 1.7101532510855764, 1.6901624695472248, 1.6729015759023067, 1.6581766742839279, 1.6457846705499821, 1.635520774214444, 1.6271841466747894, 1.6205819435521289, 1.615532023751969, 1.611864591785773, 1.6094230156048535, 1.6080640290492973, 1.6076574923567819, 1.6080858499432999, 1.6092433939945932, 1.6110354162105629, 1.6133773084640404, 1.6161936558663459, 1.6194173522526929, 1.6229887578128048, 1.6268549109089696, 1.6309688005120584, 1.6352887016882389, 1.6397775738037821, 1.6444025192761231, 1.658817169409446, 1.6735781765632236, 1.6882340588657132, 1.7024594809733606, 1.7160173995972083, 1.728734430689534, 1.7404851647039936, 1.7511823908033821, 1.7607710887544914, 1.7692246870674762, 1.776542542887481, 1.7827479307032907, 1.7878860732400244, 1.7920219357502822, 1.7952376514455539, 1.7976295609679023, 1.7993049371280283, 1.8003785284723477, 1.8009690907989409, 1.801196084284878, 1.8011766974507744, 1.8010233227946524, 1.8008415600709076, 1.8007287704305952, 1.8007731558772164, 1.8010532995866972, 1.8016380767227178, 1.8025868329371799, 1.8039497272572429, 1.8057681448644265, 1.8080751003911977, 1.8108955711002137, 1.8142467195734151, 1.8181379858746933, 1.8225710486576598, 1.8275396727798321, 1.8330294771640119, 1.8390176703095817, 1.8454728111802507, 1.8523546591355409, 1.8596141770029233, 1.8671937453434522, 1.8750276329886246, 1.8830427494208788, 1.8911596800298107, 1.8992939783432106, 1.9073576635206455, 1.9152608505429898, 1.9229134280100215, 1.9302266963942105, 1.9371148882810263, 1.9434965098376147, 1.949295466105363, 1.9544419574077037, 1.9588731559832655, 1.9625336876851136, 1.9653759516496092, 1.9673603114685694, 1.9684551863592803, 1.9686370628131722, 1.9678904390943712, 1.966207709143692, 1.9635889903426047, 1.9600419014821104, 1.9555813023656907, 1.9502290131801485, 1.9440135381287815, 1.9369698218864371, 1.9291390675898019, 1.9205686402771196, 1.9113120695991264, 1.901429150668505, 1.8909861233443825, 1.8800558901423829, 1.8687182142082599, 1.8570598249223491, 1.8451743534145384, 1.8331620265711939, 1.8211290670084705, 1.8091867755136186, 1.7974503047397656, 1.7860371576991778, 1.7750654500868734, 1.7646519544019352, 1.7549098998034016, 1.7459464530477913, 1.7378597833189497, 1.730735648847469, 1.7246435512372422, 1.7196326684506857, 1.7157279496255038, 1.7129268656745569, 1.7111972998654335, 1.7104769106224453, 1.710674032740656, 1.7116698709271057, 1.7133214629311129, 1.7154647187486829, 1.7179168289286684, 1.720477538719174, 1.7229293582389174, 1.7250381661873779, 1.7265590665068937, 1.7272607924305248, 1.727002285991214, 1.7259392012889192, 1.7250054270382913, 1.7267734259934107, 1.7360484779701013, 1.7575947398926353, 1.7899048419830952, 1.8240883498786022, 1.8525289361495698, 1.8736537603665189, 1.8891781909449765, 1.9011478395572694, 1.9110009936810675, 1.919579900297665, 1.9273238540845286, 1.9344266224003124, 1.9409375311124166, 1.94682391512637, 1.9520110215410291, 1.956408675576357, 1.9599291692584939, 1.9624984345238541, 1.964061910739914, 1.9645867122052447, 1.9642365794495449, 1.9631902797018765, 1.9614601825188953, 1.959067033083516, 1.9560397689558313, 1.9524146178509727, 1.948233040539131, 1.9435381605065298, 1.9383694163372531, 1.9327551976770849, 1.9267031007275663, 1.9201871183782784, 1.9131305926099387, 1.9053833119938519, 1.8966914282160543, 1.8866618622847326, 1.8747334981859598, 1.8601956071796213, 1.8423498690315832, 1.8209684508124178, 1.7970869968853509, 1.7735952756047955, 1.7544453444882875, 1.7423560561717317, 1.7372662425098446, 1.7371179287231271, 1.739563732533502, 1.7429210434182438, 1.7462677656247816, 1.7492093031387088, 1.7516443221422437, 1.7536123753769708, 1.7552109631969255, 1.7565548942146028, 1.757758110344384, 1.758926548579208, 1.7601560979334943, 1.7615327372789036, 1.7631334907795102, 1.7650276006342975, 1.7672776806663464, 1.7699407809995016, 1.7730693648050921, 1.7767122227852075, 1.7809153542505847, 1.7857228375314624, 1.7911777031027385, 1.7973228131240431, 1.8042017421375744, 1.8118596450919313, 1.8203440890091618, 1.829705810271758, 1.839999335443214, 1.8512833615506241, 1.8636207190978935, 1.8770776176350592, 1.8917216674115289, 1.9076178300704303, 1.9248208947281258, 1.9433621764937654, 1.9632267077855097, 1.9843150031230847, 2.0063803274953673, 2.0289284614827627, 2.051063757526923, 2.0712680941410269, 2.0871218999819225, 2.0950464223884229, 2.0902979914383826, 2.0676553029483151, 2.0232659051003856, 1.9574206473009115, 1.8764973252813668, 1.7916775662754301, 1.7144656052289002, 1.6523648513083562, 1.6076303497685951, 1.5787219776049159, 1.5624289350817322, 1.5553686909426745, 1.5546769908442888, 1.558174591957403, 1.5642986366714962, 1.571966211989529, 1.5804424945450934, 1.589235702129574, 1.5980202309848701, 1.6065827837247082, 1.6147854501035395, 1.6225406940279792, 1.6297944994979476, 1.6365150431646136, 1.6426850961518182, 1.6482969458390409, 1.6533490301126197, 1.657843747209782, 1.6617860855839357, 1.6651828397304764, 1.6680422596469289, 1.6703740367925477, 1.6721895666196369, 1.673502452305613, 1.6743292292904028, 1.6746902970198891, 1.6746110430129364, 1.6741231340571157, 1.673265928244593, 1.6720879275176006, 1.6706481415281027, 1.6690171695725819, 1.6672777312426943, 1.6655242974647022, 1.6638614101574487, 1.6624002605646366, 1.6612531637741905, 1.6605257641817319, 1.6603071658929256, 1.6606586989439931, 1.661602638943614, 1.6631127489256228, 1.6651088033746597, 1.6674570848930488, 1.6699781114375518, 1.6724616340891629, 1.6746875119670395, 1.6764498002388253, 1.6775806180259019, 1.6779702670437706], [2.083700219140364, 2.0830613716838133, 2.0811577361165106, 2.0780283453310271, 2.073738722263947, 2.068379852446049, 2.062064117914622, 2.0549169827561196, 2.0470638435695552, 2.0386115493397097, 2.0296228605360702, 2.0200786524157506, 2.0098156402317535, 1.9984151217782622, 1.9850034011375832, 1.9679453673913185, 1.9446775931261802, 1.9130423351581509, 1.8766426744534113, 1.8484593091087413, 1.8372099296818629, 1.8372962989361505, 1.8403970539443308, 1.8426071876114853, 1.8430429425801407, 1.8418859827293075, 1.8395528295005805, 1.8364524878059088, 1.83294306092215, 1.8293422597786753, 1.8259471321860006, 1.8230504582105014, 1.8209500889247856, 1.8199492019223154, 1.8203453054414407, 1.8224058409577766, 1.8263295836646869, 1.8321966110680545, 1.8399156082709744, 1.8491842886465024, 1.8594829869829059, 1.8701178828056111, 1.8803158331431291, 1.8893511497169653, 1.8966670785090645, 1.9019533751301529, 1.9051590922039958, 1.9064463587511107, 1.9061110165832578, 1.9045004344649958, 1.9019498776576453, 1.8987452058388152, 1.8951090495359915, 1.8912027865595433, 1.8871365005431973, 1.882981232800556, 1.8787803133925034, 1.874558451063008, 1.8703283916876878, 1.866095482340127, 1.861860635928815, 1.8576221657371221, 1.8533768656266565, 1.8491206093587869, 1.84484865570156, 1.8405557807494717, 1.8362363133296153, 1.8318841191730579, 1.8274925603359489, 1.8230544446157624, 1.8185619728449063, 1.8140066881901011, 1.8093794298030441, 1.8046702926618405, 1.7998685958261917, 1.7949628624367746, 1.7899408166228978, 1.7847894051861239, 1.7794948558078421, 1.7740427890771275, 1.7684184096143489, 1.7626068131282644, 1.7565934631283606, 1.7503649158621748, 1.7439099088911267, 1.7372209837600063, 1.7302968960501657, 1.7231461916520245, 1.715792519620106, 1.7082825457533182, 1.7006977832803782, 1.6931723534227447, 1.6859197554250385, 1.6792733357114986, 1.6737474965384997, 1.6701298793461457, 1.6696184046749585, 1.674019106280713, 1.6860145177508346, 1.709480188116228, 1.7497291153530297, 1.813336247138337, 1.9068164072431613, 2.0332110121807125, 2.1867014890844567, 2.3488560577992774, 2.4929103527171237, 2.5965545118907389, 2.6524362851778855, 2.6673436520924434, 2.6541749823865426, 2.6251245331922153, 2.5889915426684724, 2.5512061913499755, 2.5147552525270269, 2.4810955306925115, 2.4508066498995826, 2.4239988266112253, 2.4005500044423167, 2.3802375782458789, 2.3628088181064779, 2.3480168888085129, 2.3356380607040848, 2.3254789168691894, 2.3173784491763643, 2.3112077307489622, 2.3068686244585441, 2.3042923092223631, 2.3034380343146181, 2.3035647558813142, 2.3039452531637798, 2.3045805253412461, 2.3054722424816814, 2.3066227526840684, 2.3080350920503667, 2.3097129974542838, 2.3116609220541617, 2.3138840534704173, 2.3163883345091114, 2.319180486261966, 2.3222680333395771, 2.3256593309017379, 2.3293635930174279, 2.3333909217229598, 2.3377523359214387, 2.3424597989801361, 2.34752624350411, 2.3529655912731551, 2.3587927656936398, 2.3650236932892152, 2.3716752896868587, 2.3787654241690688, 2.3863128550749062, 2.3943371260210702, 2.4028584099285033, 2.4118972839947372, 2.4214744137974491, 2.4316101183540284, 2.4423237798145898, 2.4536330510775501, 2.4655528014473687, 2.4780937238927176, 2.4912605068692679, 2.505049448466655, 2.51944536048729, 2.5344175752038272, 2.5499148293784279, 2.5658587621794942, 2.5821357331257575, 2.5985866563916242, 2.6149945815212141, 2.6310698646688895, 2.6464330250480605, 2.660595847808735, 2.6729420785401876, 2.6827102638187492, 2.6889829962296941, 2.6906889589015686, 2.6866263826993908, 2.6755179850676205, 2.6561066671773443, 2.6272962212805684, 2.5883303507195845, 2.5389866764186548, 2.4797442777263994, 2.4118724437172059, 2.3373949745538942, 2.2589133110700499, 2.1793153790804767, 2.1014360969183703, 2.0277501575511554, 1.9601611468823845, 1.8999139158298182, 1.847618874407563, 1.8033527933962872, 1.7667949212899998, 1.7373647638778047, 1.714340759696511, 1.6969511491418905, 1.6844367333498949, 1.6760896948926187, 1.6712741893272138, 1.6694342232715387, 1.6700933635205752, 1.672849663847364, 1.6773681477241726, 1.6833723538835157, 1.6906358451125456, 1.6989741642645211, 1.7082374496664576, 1.7183037530574339, 1.729073003767353, 1.7404615091164883, 1.7523968570235686, 1.7648130829401125, 1.7776459747579056, 1.790828415305616, 1.8042857043476277, 1.8179308644635124, 1.8316600223830397, 1.845348072645385, 1.8588449730067076, 1.8719731815573568, 1.8845269012377259, 1.8962739076771631, 1.9069607418297836, 1.916321879638859, 1.9240930860761605, 1.9300285021286432, 1.9339201636409282, 1.9356177792537692, 1.935045960434387, 1.932215977114919, 1.9272296853622262, 1.9202745051678562, 1.9116099362159669, 1.9015476415487984, 1.8904281656274178, 1.87859763087589, 1.8663872913206998, 1.8540978564854482, 1.8419893736097093, 1.8302764706495316, 1.8191280906766087, 1.8086705281233146, 1.7989925492187984, 1.7901515402970858, 1.7821798769591946, 1.7750909679465448, 1.7688846546641284, 1.7635518214287296, 1.7590781910997977, 1.7554473534592843, 1.752643110542774, 1.7506512348414254, 1.7494607317640933, 1.7490646834929238, 1.7494607317640785, 1.7506512348414029, 1.752643110542778, 1.7554473534592778, 1.7590781910997855, 1.7635518214287256, 1.7688846546641295, 1.7750909679465503, 1.7821798769591946, 1.790151540297096, 1.7989925492188124, 1.8086705281233184, 1.8191280906765821, 1.8302764706495303, 1.8419893736097019, 1.8540978564854487, 1.8663872913206818, 1.8785976308758932, 1.8904281656273945, 1.901547641548788, 1.9116099362159633, 1.9202745051678514, 1.9272296853622266, 1.9322159771149188, 1.935045960434385, 1.9356177792537619, 1.9339201636409402, 1.9300285021286252, 1.9240930860761496, 1.9163218796388641, 1.9069607418297747, 1.8962739076771713, 1.8845269012377355, 1.8719731815573526, 1.8588449730067098, 1.8453480726453857, 1.8316600223830315, 1.8179308644635181, 1.8042857043476415, 1.7908284153056291, 1.7776459747579141, 1.764813082940111, 1.7523968570235724, 1.7404615091164832, 1.7290730037673452, 1.7183037530574266, 1.7082374496664647, 1.698974164264522, 1.6906358451125436, 1.683372353883521, 1.6773681477241753, 1.6728496638473607, 1.6700933635205724, 1.6694342232715393, 1.6712741893272056, 1.6760896948926201, 1.6844367333499166, 1.6969511491419098, 1.7143407596965168, 1.7373647638778029, 1.7667949212900242, 1.8033527933963109, 1.8476188744075543, 1.8999139158298459, 1.9601611468823912, 2.0277501575511505, 2.101436096918329, 2.1793153790805571, 2.2589133110701276, 2.3373949745537979, 2.4118724437172316, 2.4797442777263785, 2.5389866764186193, 2.5883303507195423, 2.6272962212805613, 2.6561066671773665, 2.6755179850676369, 2.6866263826993877, 2.6906889589015588, 2.6889829962296905, 2.6827102638187581, 2.6729420785401619, 2.6605958478086906, 2.6464330250480339, 2.6310698646688868, 2.6149945815212292, 2.5985866563916145, 2.5821357331257411, 2.565858762179452, 2.549914829378408, 2.5344175752038263, 2.5194453604872691, 2.5050494484666288, 2.4912605068692293, 2.4780937238927363, 2.4655528014473602, 2.4536330510775053, 2.4423237798145809, 2.4316101183539933, 2.4214744137974211, 2.4118972839947324, 2.4028584099285064, 2.3943371260210475, 2.3863128550748955, 2.3787654241690444, 2.3716752896868547, 2.365023693289237, 2.3587927656936327, 2.3529655912731813, 2.3475262435041264, 2.3424597989801588, 2.3377523359214241, 2.3333909217229842, 2.3293635930174599, 2.3256593309017237, 2.3222680333395895, 2.3191804862619665, 2.3163883345091234, 2.3138840534704146, 2.3116609220541617, 2.3097129974542692, 2.3080350920503778, 2.306622752684051, 2.3054722424816765, 2.304580525341255, 2.3039452531637923, 2.3035647558813075, 2.3034380343145782, 2.3035013864697422, 2.3036915056038252, 2.3040085798081331, 2.304452922851659, 2.305024974604903, 2.3057253016296757, 2.3065545979313242, 2.3075136858688139, 2.30860351721648, 2.3098251743695344, 2.3111798716842791, 2.3126689569411294, 2.3142939129166895, 2.3160563590478302, 2.317958053168014, 2.3200008932914002, 2.3221869194163869, 2.3245183153147204, 2.3269974102656006, 2.3296266806869608, 2.3324087516085643, 2.3353463979194315, 2.3384425453114033, 2.341700270827646, 2.3451228029062987, 2.3487135207924918, 2.3524759531689181, 2.356413775829254, 2.3605308081878369, 2.3648310083840691, 2.3693184666986431, 2.373997396949036, 2.3788721254763683, 2.3839470772685818, 2.3892267586886402, 2.3947157361853089, 2.400418610260775, 2.4063399838455419, 2.412484424091017, 2.4188564164242266, 2.4254603095177312, 2.4323002496089878, 2.4393801023448272, 2.446703360036711, 2.4542730318723804, 2.4620915142479562, 2.4701604379451112, 2.4784804883874445, 2.4870511946575542, 2.4958706823474102, 2.5049353846478177, 2.5142397053689338, 2.5237756268374394, 2.5335322548623944, 2.5434952922419809, 2.5536464316591641, 2.5639626583730797, 2.5744154529771519, 2.5849698848426286, 2.595583587919561, 2.6062056126406175, 2.6167751511575283, 2.6272201385332794, 2.637455740429921, 2.6473827489831634, 2.6568859237524709, 2.6658323347043846, 2.6740697898866959, 2.6814254622678702, 2.6877048681073648, 2.6926913921972915, 2.6961466009366122, 2.6978116279458493, 2.6974099515911059, 2.6946518989837465, 2.6892411932189697, 2.6808837939679284, 2.6692991500888499, 2.6542337745090907, 2.6354767635284242, 2.6128765283120341, 2.5863576212528239, 2.5559361843665078, 2.5217323016683038, 2.4839774901603939, 2.4430157863754269, 2.3992974060756271, 2.353364736772626, 2.3058313566036874, 2.2573556928113936, 2.2086116552520179, 2.1602589548381315, 2.1129157705589416, 2.0671359862850531, 2.0233924911735093, 1.9820671864049697, 1.943447530354278, 1.9077288108389676, 1.8750209243170006, 1.8453582752362614, 1.8187114461686205, 1.7949994687669648, 1.7741017807295993, 1.7558692283672068, 1.7401337280461053, 1.72671640993651, 1.7154342256559292, 1.7061051090712458, 1.6985518439260234, 1.6926048226288981, 1.6881038870791025, 1.6848994332004883, 1.6828529425622558, 1.6818370819552453, 1.6817354883793685, 1.682442334635516, 1.683861750740939, 1.6859071591882657, 1.6885005677249223, 1.6915718516729616, 1.6950580485440272, 1.6989026804866818, 1.7030551145870008, 1.7074699669084596, 1.7121065531207964, 1.7169283863911928, 1.7219027216958569, 1.7270001446966028, 1.7427792780859728, 1.7588568563524409, 1.774798356683176, 1.7902774170378228, 1.8050460705813052, 1.8189153300702416, 1.8317428872460728, 1.8434255441433611, 1.8538946398680416, 1.8631132195082369, 1.8710740536009598, 1.8777978903666919, 1.8833315334595437, 1.887745503546669, 1.8911311758576881, 1.8935973962426225, 1.8952666684550143, 1.8962710740315887, 1.8967481293891035, 1.8968367990096091, 1.8966738682503128, 1.8963908383080581, 1.8961114472945171, 1.8959498557267671, 1.8960094724069168, 1.8963823458051763, 1.8971490113664267, 1.898378667773059, 1.9001295534598011, 1.9024494052882099, 1.9053759004323423, 1.908937006701563, 1.913151192991114, 1.9180274783993205, 1.9235653245510442, 1.929754399938221, 1.936574266781915, 1.9439940589347338, 1.9519722322050914, 1.9604564743964599, 1.9693838594750523, 1.9786813171985715, 1.98826646587666, 1.9980488229207196, 2.0079313686440248, 2.0178123984234104, 2.0275875630584377, 2.0371519732307197, 2.0464022362283978, 2.0552383036709139, 2.0635650364459441, 2.0712934326279924, 2.0783415085386463, 2.0846348643005124, 2.0901069962450967, 2.0946994349020494, 2.0983617878628338, 2.1010517536531874, 2.102735150375493, 2.1033859770210435, 2.1029865016303608, 2.1015273533308099, 2.0990075872393503, 2.0954346927109593, 2.0908245249532094, 2.0852011547523777, 2.0785966474109419, 2.0710507964345735, 2.0626108470631301, 2.0533312474284635, 2.0432734601136078, 2.0325058545318644, 2.021103682279584, 2.0091491158215584, 1.996731308667421, 1.9839464161877565, 1.9708975040034848, 1.9576942683638126, 1.9444525013241805, 1.9312932513641015, 1.918341652588325, 1.9057254153616294, 1.8935729802596357, 1.8820113312511162, 1.8711634466199176, 1.8611453509070117, 1.8520627389740314, 1.8440071934451101, 1.8370521145996099, 1.8312486089851154, 1.8266216978012921, 1.8231672560887684, 1.8208500374182717, 1.8196029649211938, 1.8193276042016657, 1.81989543087941, 1.8211492279411012, 1.8229037528780463, 1.8249447638985292, 1.8270257215382646, 1.8288623814392291, 1.830128214321461, 1.830461240686998, 1.8295130668241111, 1.8271183723983377, 1.8237449337142879, 1.8213840838736304, 1.8243887033616706, 1.8379394891852339, 1.8627450259265721, 1.8928325864550417, 1.9213813321973556, 1.9454670513053474, 1.9652236435965091, 1.9817461314477736, 1.996058580485937, 2.0088694545753332, 2.0205992543615876, 2.0314576080429494, 2.0415102179762523, 2.0507288982932286, 2.0590291466590536, 2.0662993387119397, 2.0724233038094475, 2.0772964434154235, 2.080835289901056, 2.0829812216434238, 2.083700219140364, 2.0832206186978981, 2.0817859239497705, 2.0794087703535968, 2.0761110950602548, 2.0719248950104272, 2.0668923381422717, 2.0610646132153283, 2.0544990805201024, 2.0472545483116122, 2.039384746679723, 2.0309302101605238, 2.0219087676084664, 2.0123047015617042, 2.002056511189906, 1.9910433955356204, 1.9790717204194526, 1.965866233186546, 1.9510793425473747, 1.9343492911561979, 1.9154647333314598, 1.8947046559880176, 1.8733269132927381, 1.8538462710592571, 1.8393912169541808, 1.8320095684587583, 1.8313679714750144, 1.8352694948630985, 1.8412150487681729, 1.8474342969731146, 1.8530287625793411, 1.8577046159240931, 1.8614869352513659, 1.8645344150955805, 1.8670432915577264, 1.8692049501644665, 1.8711906797341238, 1.8731486241051611, 1.8752055479898477, 1.8774700797242918, 1.8800360587418505, 1.8829855098091952, 1.8863911464442162, 1.8903184505410473, 1.8948274160184955, 1.8999740419349924, 1.9058116420362894, 1.9123920145914306, 1.9197664927715554, 1.9279868721438103, 1.9371061861238199, 1.9471792683626878, 1.9582629963450948, 1.9704160426251183, 1.983697853331152, 1.9981664037184481, 2.0138740108600062, 2.0308600586595182, 2.049138829419471, 2.0686796291937619, 2.0893749138874647, 2.1109900878349386, 2.1330862196582263, 2.1549050358267223, 2.175207115581872, 2.1920663622333367, 2.2026607528891318, 2.2031807952044371, 2.1891062676525315, 2.1561970584695116, 2.1023528457500489, 2.0297346475203759, 1.9455666512777539, 1.8602647448064629, 1.7836613493052302, 1.7219134937553071, 1.6768106075584703, 1.6469864854902454, 1.6296002133337273, 1.6215703919557456, 1.6201965690668894, 1.6233514447310409, 1.6294574456299102, 1.6373861368528635, 1.6463482120139634, 1.655799604802785, 1.6653692759184273, 1.6748065301604371, 1.6839436674626569, 1.6926699165690589, 1.7009133945308761, 1.70862867534879, 1.7157882465114334, 1.7223766544737256, 1.728386514176167, 1.7338158191058073, 1.7386661688775402, 1.7429416553494317, 1.7466482335153348, 1.7497934620857352, 1.7523865390320317, 1.7544385848446558, 1.755963144206292, 1.7569768870707037, 1.7575004934779805, 1.7575597026275618, 1.7571864948586422, 1.7564203538790948, 1.7553095244090451, 1.7539121365788035, 1.7522970139111242, 1.7505439208524074, 1.7487429482656278, 1.7469926979678407, 1.7453969352152907, 1.74405946192929, 1.7430771534912997, 1.7425314143958226, 1.7424787276598463, 1.742941436147134, 1.7439002844151941, 1.7452904171170571, 1.7470023381689044, 1.7488887257459043, 1.7507770421107622, 1.7524867755471401, 1.753849176963119, 1.7547267527058663, 1.7550296834487584], [2.2073835336389922, 2.2065436891114918, 2.204038744926399, 2.1999133231705121, 2.1942438125100581, 2.1871388969018049, 2.1787365167199315, 2.1691956562661669, 2.1586826381922646, 2.1473526262089306, 2.1353270772739781, 2.122666534139285, 2.1093352729879276, 2.0951500325037089, 2.0797009043890271, 2.0622385410142297, 2.0415864997811908, 2.016431793489295, 1.987103734542172, 1.9594880233252241, 1.9439993441535439, 1.9428321095600589, 1.9478584467134294, 1.9523689421654404, 1.954392003621346, 1.9541547938088106, 1.952357218433616, 1.9496411059019925, 1.9465104899332049, 1.9433613139113095, 1.9405218787256198, 1.9382827917592387, 1.9369142382046247, 1.9366714804249825, 1.9377890741886739, 1.9404638116612869, 1.9448269760049803, 1.9509086362145955, 1.9586004466663394, 1.9676278128992855, 1.9775450533266716, 1.9877651465261954, 1.9976267102248877, 2.0064867688302668, 2.0138151958000527, 2.0192634808769379, 2.022689894066624, 2.0241402101483228, 2.0237982088099229, 2.0219260933529819, 2.0188115320020206, 2.0147299713383147, 2.0099233388953408, 2.0045918294610239, 1.9988941513817955, 1.9929521810935555, 1.9868572209682076, 1.9806762459508824, 1.974457384201681, 1.9682343957189088, 1.9620301787338139, 1.9558594430827796, 1.9497307154461894, 1.9436478287420893, 1.9376110219702003, 1.931617749416696, 1.925663274206848, 1.9197411020448183, 1.9138432963857128, 1.9079607054884429, 1.9020831239858103, 1.8961994060699618, 1.8902975435829248, 1.8843647198373632, 1.8783873486217546, 1.8723511074404766, 1.8662409745902402, 1.8600412812748091, 1.8537357928478677, 1.8473078378455781, 1.8407405103611241, 1.8340169814912139, 1.8271209705087439, 1.8200374482904933, 1.8127536776793085, 1.8052607429339704, 1.7975557909056405, 1.7896453118298064, 1.7815499456436843, 1.7733115380649243, 1.7650035311355596, 1.7567463180863305, 1.7487300126841798, 1.7412483009059689, 1.7347487984392027, 1.7299077202178483, 1.7277394856356301, 1.7297540196260635, 1.7381723177406725, 1.7561945687169092, 1.7882624888319352, 1.8401278500785623, 1.9182914009023944, 2.0280842581810936, 2.1698139480399421, 2.3340214416186758, 2.5000230192427297, 2.6423303602546269, 2.7424146410592196, 2.7959505861912555, 2.810435721071697, 2.7980404328167419, 2.7700619244828903, 2.7347678697307609, 2.6974145318150251, 2.6610175359521979, 2.6271409344028851, 2.5964833196480073, 2.5692585968887069, 2.5454264180936432, 2.5248256485219525, 2.5072491428903954, 2.4924842788459252, 2.4803340135437226, 2.470627121659585, 2.463222607364191, 2.4580111377796237, 2.4549151063353136, 2.4538882218248625, 2.4540408896853578, 2.4544992772435075, 2.4552645376176869, 2.4563385966103151, 2.4577241585399965, 2.4594247142480405, 2.4614445511083467, 2.4637887647996743, 2.4664632725139537, 2.4694748271654143, 2.4728310320299625, 2.4765403550673057, 2.4806121419598401, 2.4850566266145293, 2.4898849375184611, 2.4951090978741068, 2.5007420168586334, 2.5067974686057064, 2.5132900545608656, 2.5202351436597858, 2.5276487832483117, 2.5355475717257718, 2.5439484814319182, 2.5528686171862827, 2.562324891955611, 2.5723335961661875, 2.5829098309552898, 2.5940667678735156, 2.6058146878894002, 2.6181597406543666, 2.6311023505221121, 2.644635178518187, 2.6587405292572108, 2.6733870690472457, 2.6885256971979712, 2.7040843892528836, 2.7199618130305994, 2.7360195139225274, 2.752072487903007, 2.7678780296227239, 2.7831228891452899, 2.7974090367976343, 2.8102387756735725, 2.8210006164064234, 2.8289582891661604, 2.83324651656583, 2.8328785998197592, 2.8267721658565401, 2.8137999676685945, 2.7928714655327842, 2.7630469001565516, 2.7236778815220735, 2.6745575690902101, 2.6160519336326922, 2.5491764267219308, 2.4755855490808671, 2.3974595080986383, 2.3172992165768322, 2.237668312895468, 2.1609365118083455, 2.0890753948756826, 2.0235381997702895, 1.9652291797571297, 1.9145465217459872, 1.8714717594333425, 1.835678121626634, 1.8066364952965777, 1.7837061594216563, 1.7662049922119043, 1.7534590937394803, 1.7448346375254438, 1.7397558379042579, 1.7377128878209041, 1.7382631487625169, 1.7410281312410514, 1.7456880927213052, 1.751975486856767, 1.7596680432638778, 1.7685819282824224, 1.778565209891797, 1.7894916988660314, 1.8012551418212679, 1.8137636837962954, 1.8269344874761355, 1.8406883869802511, 1.8549444643646695, 1.8696144683772262, 1.8845970523910793, 1.8997718987841052, 1.9149939276365409, 1.9300879628669247, 1.9448444449606699, 1.9590170166616545, 1.9723230224367203, 1.9844480795303638, 1.9950557948945831, 2.0038033060242784, 2.0103625366046662, 2.0144458993251138, 2.0158338269156171, 2.0144003234735699, 2.01013216009886, 2.0031377807626072, 1.993643541621327, 1.9819772685382848, 1.9685416159014109, 1.9537815811348238, 1.9381512431175019, 1.9220842632264226, 1.9059712561718307, 1.8901453650083548, 1.8748757854895237, 1.8603678980975915, 1.8467681590612632, 1.8341718756808276, 1.822632270219416, 1.8121696479639975, 1.8027799024364179, 1.7944419429381973, 1.787123890339936, 1.7807880584969218, 1.7753948369728341, 1.7709056357884396, 1.7672850628782995, 1.7645024941021858, 1.7625331740349592, 1.7613589597339678, 1.7609687928725239, 1.7613589597339516, 1.7625331740349361, 1.7645024941021903, 1.7672850628782928, 1.7709056357884274, 1.7753948369728281, 1.7807880584969231, 1.7871238903399416, 1.7944419429381984, 1.8027799024364288, 1.8121696479640126, 1.8226322702194191, 1.8341718756807983, 1.8467681590612606, 1.8603678980975822, 1.8748757854895226, 1.890145365008334, 1.905971256171836, 1.922084263226391, 1.9381512431174877, 1.95378158113482, 1.9685416159014006, 1.9819772685382866, 1.9936435416213281, 2.0031377807626072, 2.0101321600988524, 2.0144003234735837, 2.0158338269156011, 2.0144458993250982, 2.0103625366046689, 2.003803306024269, 1.9950557948945926, 1.9844480795303714, 1.9723230224367159, 1.9590170166616547, 1.9448444449606688, 1.930087962866915, 1.9149939276365482, 1.8997718987841181, 1.8845970523910931, 1.869614468377236, 1.8549444643646673, 1.8406883869802559, 1.8269344874761297, 1.8137636837962863, 1.8012551418212588, 1.789491698866039, 1.7785652098917992, 1.76858192828242, 1.7596680432638843, 1.7519754868567685, 1.7456880927213001, 1.7410281312410461, 1.7382631487625206, 1.7377128878208956, 1.7397558379042573, 1.7448346375254618, 1.7534590937394963, 1.7662049922119072, 1.7837061594216541, 1.8066364952965945, 1.8356781216266529, 1.8714717594333359, 1.9145465217460127, 1.9652291797571342, 2.0235381997702873, 2.0890753948756489, 2.1609365118084205, 2.2376683128955466, 2.3172992165767337, 2.3974595080986694, 2.4755855490808423, 2.549176426721885, 2.6160519336326331, 2.6745575690902004, 2.7236778815221196, 2.7630469001565965, 2.7928714655327864, 2.8137999676685923, 2.826772165856541, 2.8328785998197676, 2.8332465165658185, 2.8289582891661329, 2.8210006164064039, 2.8102387756735712, 2.7974090367976441, 2.7831228891452788, 2.767878029622707, 2.7520724879029643, 2.7360195139225074, 2.7199618130305976, 2.7040843892528628, 2.6885256971979445, 2.6733870690472004, 2.6587405292572321, 2.6446351785181772, 2.6311023505220601, 2.6181597406543582, 2.6058146878893607, 2.5940667678734854, 2.5829098309552831, 2.5723335961661888, 2.5623248919555852, 2.5528686171862711, 2.5439484814318893, 2.5355475717257687, 2.5276487832483379, 2.5202351436597774, 2.5132900545608967, 2.5067974686057233, 2.50074201685866, 2.49510909787409, 2.4898849375184877, 2.4850566266145684, 2.4806121419598246, 2.4765403550673204, 2.4728310320299611, 2.4694748271654272, 2.4664632725139493, 2.4637887647996717, 2.4614445511083258, 2.4594247142480525, 2.4577241585399729, 2.4563385966103093, 2.4552645376176976, 2.454499277243523, 2.4540408896853498, 2.453888221824815, 2.4539645457004378, 2.454193588586425, 2.4545755643055425, 2.4551108293776638, 2.4557998832382952, 2.4566433685347326, 2.4576420714900458, 2.4587969223220463, 2.4601089957006246, 2.4615795112228169, 2.4632098338813178, 2.4650014744964519, 2.4669560900767271, 2.4690754840661899, 2.4713616064303197, 2.4738165535229255, 2.4764425676677133, 2.4792420363770282, 2.4822174911168839, 2.4853716055130715, 2.4887071928771838, 2.492227202909588, 2.4959347174148196, 2.499832944839862, 2.5039252134124124, 2.508214962623748, 2.5127057327591276, 2.5174011521320967, 2.5223049216242535, 2.5274207960704391, 2.5327525619573907, 2.5383040108196222, 2.5440789076222825, 2.5500809533097879, 2.5563137405739029, 2.5627807017492117, 2.569485047580415, 2.5764296954154444, 2.5836171851663927, 2.5910495811363514, 2.5987283575364213, 2.6066542652134159, 2.6148271767636282, 2.6232459068361167, 2.6319080040143921, 2.640809510227085, 2.6499446831683962, 2.6593056767314578, 2.6688821739795276, 2.6786609667349173, 2.6886254754859582, 2.6987552030549002, 2.7090251154063765, 2.7194049432045775, 2.7298583983784965, 2.7403423011983552, 2.7508056154172333, 2.7611883921566558, 2.7714206277466449, 2.7814210470448812, 2.791095832300674, 2.8003373288585314, 2.8090227733678876, 2.8170131080592955, 2.8241519662413705, 2.8302649393129009, 2.8351592635400138, 2.8386240940685896, 2.8404315614231237, 2.8403388279411743, 2.8380913723823817, 2.8334277228340108, 2.8260858222047873, 2.8158111379282862, 2.8023665102815736, 2.78554356827506, 2.7651753319323786, 2.7411493790207797, 2.7134207097717651, 2.6820232343728296, 2.6470786832377584, 2.6088017477207188, 2.5675004353200057, 2.5235709791248988, 2.4774871508203296, 2.4297844259895811, 2.38104004597482, 2.3318505080083551, 2.2828083053563497, 2.2344797803767635, 2.1873857451776466, 2.1419861160589835, 2.0986692827802229, 2.0577463875206092, 2.0194502059775714, 1.9839379623938287, 1.9512971964567167, 1.9215537279930697, 1.8946808091020788, 1.8706086764518508, 1.8492338817793432, 1.8304279547457436, 1.8140451166005394, 1.7999289021329477, 1.7879176554711269, 1.777848942410106, 1.7695629715729744, 1.7629051439770707, 1.7577278610054266, 1.7538917194593726, 1.7512662135564252, 1.7497300507448195, 1.7491711734381832, 1.74948656385767, 1.7505818951251377, 1.7523710791385332, 1.7547757508278807, 1.75772471916816, 1.7611534077231004, 1.765003301348447, 1.7692214108024449, 1.7737597632001705, 1.7785749233206785, 1.7836275485668653, 1.7888819787417838, 1.7943058606216862, 1.7998698064729866, 1.8055470850970132, 1.8230258106311659, 1.8407642043165899, 1.8583346519939679, 1.8754019790421919, 1.8917007758500344, 1.9070207900126817, 1.9211979134167119, 1.9341088704852722, 1.9456681804187719, 1.9558263375883971, 1.964568447949862, 1.9719127901263487, 1.9779089508124277, 1.9826353285196836, 1.9861959199388686, 1.9887164086499676, 1.9903396699945604, 1.9912208852905289, 1.9915225150750377, 1.9914094059366272, 1.9910442938634945, 1.9905839208244931, 1.9901759093833149, 1.9899564559481804, 1.9900488210698908, 1.9905625267685814, 1.9915931233360908, 1.9932223635882096, 1.995518619264891, 1.9985373879198671, 2.0023217641313331, 2.0069027815297682, 2.0122995683306337, 2.0185192962378427, 2.0255569390440269, 2.0333948916193476, 2.0420025307127601, 2.051335823969143, 2.0613371099650886, 2.0719351765360252, 2.0830457539545435, 2.0945725114281153, 2.1064085999277378, 2.1184387247857899, 2.1305416647266524, 2.1425930901200374, 2.1544684839159065, 2.166045944584658, 2.1772086582766974, 2.1878468681197658, 2.1978592360487461, 2.2071535749917763, 2.2156470116885409, 2.2232657083219909, 2.229944313541333, 2.2356253250868416, 2.2402585280814971, 2.243800631434087, 2.2462151693961641, 2.2474726769562992, 2.2475510963131482, 2.2464363345410514, 2.2441228738051415, 2.2406143356599193, 2.2359239175238734, 2.2300746475307065, 2.2230994375487292, 2.2150409470422598, 2.2059512972573945, 2.1958916921153144, 2.1849320072309069, 2.1731504015938587, 2.1606329892996659, 2.1474735842710015, 2.1337735030294422, 2.1196413835536627, 2.105192956268199, 2.0905506896752213, 2.0758432299948337, 2.0612045611345646, 2.0467728255380169, 2.0326887630923629, 2.0190937391011694, 2.0061273405903708, 1.9939245254093787, 1.9826123195481, 1.9723060874018166, 1.9631054570976088, 1.9550900667040514, 1.9483153880609143, 1.9428089480570068, 1.9385672619241554, 1.9355536889792293, 1.9336972104154799, 1.9328918287342152, 1.9329959330053958, 1.933830599947159, 1.9351754466124538, 1.9367604042165689, 1.9382519589041212, 1.9392340762220259, 1.9391904752818541, 1.9375151118628153, 1.9336315977994512, 1.92741100573673, 1.9201460205438556, 1.9157801064975422, 1.920182937755444, 1.9363987415777417, 1.9611300021004061, 1.9883576862227994, 2.0141318165823137, 2.0372174593030525, 2.0577745515171051, 2.076345365491727, 2.0934322735214859, 2.1093837412822158, 2.1243907695347048, 2.1385129904088056, 2.1517094257942824, 2.1638684629683542, 2.1748364693994167, 2.1844443553363142, 2.1925302439308654, 2.1989559486332504, 2.203615814504829, 2.2064383997584445, 2.2073835336389922, 2.2067531400365969, 2.2048667650446827, 2.201739430013713, 2.1973979318329318, 2.1918826771437248, 2.1852488768618872, 2.1775662185474562, 2.1689164123330271, 2.159388436281783, 2.1490717498421219, 2.138048068155276, 2.1263824226043551, 2.114114189429523, 2.1012486571061375, 2.0877497264981493, 2.0735348198174255, 2.0584745548327255, 2.0424031332024954, 2.0251520416752884, 2.0066305203089572, 1.9869876484140423, 1.9668821237193999, 1.947800931372196, 1.9321472200244889, 1.9226137793324121, 1.9207590088875826, 1.9258542698309671, 1.9352972404132132, 1.9461784964272086, 1.9564727010820735, 1.9652494724482357, 1.9723393719946498, 1.9779515876809157, 1.9824252551517692, 1.9861068863889777, 1.9893032573701412, 1.9922705528111972, 1.9952180579315966, 1.9983162380772341, 2.0017050574904074, 2.0055011430996554, 2.0098035371957232, 2.0146981901237715, 2.0202614450054401, 2.0265627502361028, 2.0336667813310179, 2.04163509182075, 2.0505273521816441, 2.0604021756148354, 2.071317464339772, 2.0833301307291046, 2.0964949405971796, 2.1108620719164986, 2.1264727534085992, 2.1433520046042851, 2.1614969887639455, 2.1808587463359066, 2.2013140345605735, 2.2226226439689776, 2.2443640640982259, 2.2658463975870822, 2.2859818037787174, 2.3031306426441613, 2.3149387399635395, 2.3182398257554713, 2.3091731933297517, 2.2837441332590185, 2.2390168238216206, 2.1747892479823165, 2.0949457962644549, 2.007285683637785, 1.9213522923420849, 1.8453834908563971, 1.7842370481327876, 1.7391546631920163, 1.7088124769188999, 1.6906500127753166, 1.6818609418157038, 1.6799238458310293, 1.6827934548063346, 1.6889064943881953, 1.6971108704612652, 1.7065768910131105, 1.7167160388920191, 1.7271152934983531, 1.7374872379641524, 1.7476334460549559, 1.7574181400706685, 1.7667494511391715, 1.7755661726415062, 1.7838284320640589, 1.7915111419086955, 1.7985994200170434, 1.8050854101465359, 1.810966105507793, 1.8162418995451233, 1.8209156738652421, 1.8249922934530749, 1.8284784216449559, 1.8313825968876114, 1.8337155334799977, 1.8354906213411852, 1.8367246064332157, 1.8374384340636642, 1.8376582315415964, 1.8374163937582484, 1.8367527142099194, 1.8357154739893735, 1.834362362433019, 1.8327610573523463, 1.8309892451446297, 1.8291338211199222, 1.827288993187224, 1.8255530380369764, 1.8240235512319911, 1.8227912106150463, 1.8219323416447311, 1.8215009127519002, 1.8215209415122453, 1.8219805657789754, 1.8228291176875113, 1.8239783406832091, 1.8253083803766192, 1.8266784217462664, 1.8279409905874708, 1.8289581861453523, 1.829617646043594, 1.8298459693599443], [2.3382484830941084, 2.3371718866185125, 2.3339597218551389, 2.3286664162823172, 2.3213866910441139, 2.3122580339003123, 2.3014587953002383, 2.2891996584484775, 2.2757082367102082, 2.2612084220412183, 2.2458969634667563, 2.2299192578317659, 2.2133447582152792, 2.1961405103866847, 2.178140675686425, 2.1590150932278922, 2.1382669870585191, 2.1153896713020188, 2.0905892754223809, 2.0667547521090994, 2.0513317106975202, 2.0506851641967891, 2.0598512457814802, 2.0689425775599002, 2.0737860118109759, 2.0747795970020557, 2.0733610895385359, 2.0707237774844502, 2.0676812194668348, 2.0647791575427852, 2.062403074850903, 2.0608464672060456, 2.0603477949850535, 2.0611062360133028, 2.063282679373831, 2.0669896995121566, 2.072273310540325, 2.0790899087269588, 2.0872835333206905, 2.09657060931755, 2.1065403450944875, 2.1166773495106481, 2.1264078830576252, 2.135163410207626, 2.1424479464610853, 2.1478930147145081, 2.1512877771880645, 2.1525803399291235, 2.1518550171941766, 2.1492956266334833, 2.1451454665638767, 2.1396718519823299, 2.133139214333275, 2.1257915061457764, 2.1178426688360275, 2.1094731268645304, 2.1008302581607254, 2.0920311560816254, 2.083166465815288, 2.0743045029883684, 2.0654951906823, 2.0567735794905744, 2.0481628610407046, 2.0396768707919173, 2.0313221207413772, 2.0230994221109526, 2.0150051627369949, 2.0070323006595263, 1.9991711285680969, 1.9914098557812758, 1.983735046667201, 1.9761319475123666, 1.9685847280908015, 1.9610766596513469, 1.9535902477117282, 1.9461073358978338, 1.9386091961019076, 1.931076620520094, 1.923490032846352, 1.9158296393548833, 1.9080756463117801, 1.900208578915481, 1.8922097499814183, 1.8840619456740604, 1.8757504234617943, 1.8672643581907369, 1.8585989318377083, 1.8497583502653134, 1.8407601999293157, 1.8316417496074644, 1.8224690875187002, 1.8133504075674516, 1.8044553834401686, 1.7960434801835405, 1.7885053460638232, 1.7824231694773465, 1.7786579814697334, 1.7784737230993046, 1.7837074882534985, 1.7969874295012114, 1.8219722833666867, 1.8635159316427241, 1.9275146367057534, 2.019971526464575, 2.1446755428847535, 2.2993779704779347, 2.4721362943652543, 2.6417132059045887, 2.7846774834932502, 2.8853897216769289, 2.9409933084783142, 2.9586993413308296, 2.9497136630886547, 2.9245873361326007, 2.891291529506578, 2.8551103188773377, 2.8192364219452939, 2.785444885784786, 2.7546250678904878, 2.7271444031217591, 2.7030792110004405, 2.6823547689153449, 2.6648277738462611, 2.6503336805354052, 2.6387131815960485, 2.6298265599305859, 2.6235611471409803, 2.6198349804327874, 2.6185984550812735, 2.6187826889196497, 2.6193358149282178, 2.6202591069259316, 2.6215546890123993, 2.6232255369609776, 2.6252754797382165, 2.6277092006933032, 2.6305322377903457, 2.6337509820548362, 2.6373726731600775, 2.6414053907820456, 2.6458580399790086, 2.6507403283994311, 2.6560627325480328, 2.661836449639182, 2.668073330679976, 2.6747857893319962, 2.6819866797319749, 2.6896891347489067, 2.6979063540413284, 2.7066513286497318, 2.7159364856107824, 2.7257732320657273, 2.7361713734091113, 2.7471383740063806, 2.7586784217162768, 2.7707912487177357, 2.7834706508141003, 2.796702635435607, 2.8104631151189143, 2.8247150487827963, 2.8394049186662964, 2.8544584182687367, 2.8697752193384112, 2.8852226892918043, 2.900628452794765, 2.9157717450989886, 2.9303736078853113, 2.9440861546841139, 2.95648141205446, 2.9670406569037295, 2.9751457464099897, 2.9800746794584603, 2.9810044907986488, 2.9770254219749179, 2.9671708564515948, 2.950467297912728, 2.9260071167182993, 2.8930433136517966, 2.8510999321903272, 2.800084606592955, 2.7403829145859135, 2.6729106970128287, 2.5991034366505104, 2.5208326045772345, 2.4402556663575656, 2.3596237715759281, 2.2810823077184326, 2.2064999974563286, 2.1373523063402882, 2.0746692444905999, 2.0190424040131703, 1.970675903034548, 1.9294622993619281, 1.8950662793653605, 1.8670035825956524, 1.8447078992277786, 1.8275829225838305, 1.815039786259669, 1.8065218064843376, 1.8015191109328894, 1.7995757430796282, 1.800291499148186, 1.8033202967386501, 1.8083664150017293, 1.8151795458525015, 1.8235492740133978, 1.8332993588477391, 1.8442820117138001, 1.8563722352285583, 1.8694622029308952, 1.883455599868213, 1.8982618107317393, 1.9137898304008087, 1.9299417842898221, 1.9466059890672029, 1.9636495683947195, 1.9809107763840466, 1.9981913864618757, 2.0152497823566993, 2.0317957322694911, 2.0474881984396411, 2.0619378482171609, 2.0747160499297692, 2.0853718718704926, 2.0934577701827783, 2.0985631582084228, 2.1003530183564756, 2.0986065808308885, 2.0932495696086093, 2.0843733876796193, 2.0722363477483454, 2.0572454484201903, 2.0399213067672677, 2.0208523489595689, 2.0006461085468468, 1.979885087828694, 1.9590925312319134, 1.9387105827763416, 1.9190906184200625, 1.9004936816258995, 1.883098082576574, 1.8670111849616118, 1.852282885802887, 1.8389189867040758, 1.8268933401647656, 1.8161582153530194, 1.8066527272512554, 1.7983094227712968, 1.7910592497270965, 1.7848351855577345, 1.7795748034382211, 1.7752220269933749, 1.771728286659533, 1.7690532501263534, 1.7671652611801876, 1.7660415877734281, 1.7656685516474504, 1.7660415877734112, 1.7671652611801643, 1.7690532501263592, 1.7717282866595261, 1.7752220269933623, 1.7795748034382135, 1.7848351855577351, 1.7910592497271032, 1.7983094227712983, 1.806652727251266, 1.8161582153530342, 1.8268933401647682, 1.8389189867040434, 1.8522828858028855, 1.8670111849616013, 1.8830980825765733, 1.9004936816258757, 1.9190906184200698, 1.9387105827763051, 1.9590925312318954, 1.9798850878286907, 2.0006461085468281, 2.020852348959572, 2.0399213067672708, 2.0572454484201925, 2.0722363477483374, 2.0843733876796362, 2.0932495696085978, 2.0986065808308689, 2.1003530183564751, 2.0985631582084152, 2.0934577701827868, 2.0853718718704992, 2.0747160499297643, 2.0619378482171604, 2.0474881984396398, 2.0317957322694822, 2.015249782356705, 1.9981913864618919, 1.9809107763840619, 1.9636495683947317, 1.9466059890671992, 1.9299417842898281, 1.9137898304008019, 1.8982618107317282, 1.8834555998682043, 1.8694622029309043, 1.8563722352285603, 1.844282011713797, 1.8332993588477493, 1.8235492740134018, 1.8151795458524951, 1.8083664150017218, 1.8033202967386566, 1.8002914991481778, 1.7995757430796246, 1.8015191109329018, 1.8065218064843505, 1.8150397862596708, 1.8275829225838278, 1.8447078992277897, 1.8670035825956683, 1.8950662793653554, 1.9294622993619517, 1.9706759030345511, 2.0190424040131698, 2.0746692444905679, 2.1373523063403526, 2.206499997456401, 2.2810823077183366, 2.35962377157596, 2.4402556663575412, 2.5208326045771878, 2.5991034366504384, 2.6729106970128154, 2.7403829145859797, 2.800084606593034, 2.851099932190337, 2.8930433136518077, 2.9260071167183059, 2.9504672979127342, 2.9671708564516122, 2.9770254219749255, 2.9810044907986466, 2.9800746794584607, 2.9751457464099973, 2.9670406569037211, 2.9564814120544454, 2.9440861546840766, 2.9303736078852936, 2.9157717450989868, 2.900628452794745, 2.8852226892917749, 2.8697752193383663, 2.8544584182687589, 2.8394049186662875, 2.8247150487827377, 2.8104631151189019, 2.7967026354355591, 2.7834706508140652, 2.7707912487177286, 2.758678421716279, 2.7471383740063509, 2.7361713734090962, 2.7257732320656949, 2.7159364856107779, 2.7066513286497615, 2.6979063540413195, 2.6896891347489427, 2.6819866797319936, 2.6747857893320268, 2.6680733306799533, 2.6618364496392131, 2.6560627325480781, 2.650740328399412, 2.6458580399790268, 2.6414053907820443, 2.6373726731600944, 2.6337509820548308, 2.6305322377903422, 2.6277092006932792, 2.6252754797382307, 2.6232255369609496, 2.6215546890123917, 2.6202591069259435, 2.6193358149282338, 2.6187826889196377, 2.6185984550812136, 2.6186905606689685, 2.6189669536699123, 2.6194278627351975, 2.6200736687389776, 2.620904904451324, 2.6219222540581901, 2.623126552506128, 2.6245187846424192, 2.6261000841134754, 2.6278717319756422, 2.6298351549643093, 2.6319919233559461, 2.6343437483470273, 2.636892478860414, 2.6396400976759899, 2.6425887167650348, 2.645740571689907, 2.6490980149094798, 2.6526635078058156, 2.6564396112204665, 2.6604289742589384, 2.6646343210832564, 2.6690584353734281, 2.6737041420934307, 2.678574286140913, 2.6836717074024197, 2.68899921166603, 2.6945595367654258, 2.7003553132401663, 2.7063890186972679, 2.7126629249460636, 2.7191790368486664, 2.725939021686373, 2.7329441276799562, 2.7401950901234637, 2.7476920233905098, 2.7554342968550967, 2.7634203925271903, 2.7716477419472696, 2.7801125396066202, 2.7888095298707816, 2.7977317640903454, 2.8068703242856587, 2.8162140095201966, 2.825748980833116, 2.8354583604291252, 2.8453217807445221, 2.8553148790845295, 2.8654087338113787, 2.8755692386447151, 2.8857564126131359, 2.8959236446998675, 2.9060168744113528, 2.9159737125493499, 2.9257225105998774, 2.9351813926041967, 2.9442572703984418, 2.9528448719408553, 2.9608258232986726, 2.9680678378438703, 2.974424081268098, 2.9797327978601298, 2.9838173014100384, 2.9864864519103036, 2.9875357550386159, 2.9867492325649581, 2.9839022147927174, 2.9787651965889812, 2.9711088716120968, 2.960710410153339, 2.9473609706472552, 2.930874331644199, 2.9110964018877001, 2.8879152183872931, 2.8612708897189458, 2.8311648044350295, 2.7976673276773516, 2.7609231796851943, 2.7211537509188504, 2.6786557728397069, 2.6337960277571431, 2.5870021228792437, 2.5387497315410457, 2.4895470647947104, 2.4399176232115889, 2.3903824458470866, 2.341443095215884, 2.2935664942078264, 2.2471724887144453, 2.2026246922453376, 2.1602248276265108, 2.120210464384721, 2.0827557951294038, 2.0479749204620461, 2.0159270236511877, 1.9866228044401553, 1.9600315886857289, 1.936088616683548, 1.9147021185475757, 1.8957598938651217, 1.8791352136252122, 1.8646919482679167, 1.8522888936603419, 1.8417833167562661, 1.8330337763639044, 1.8259022945079342, 1.8202559633043007, 1.8159680739225095, 1.8129188505764857, 1.8109958655745297, 1.8100942028164078, 1.8101164278601887, 1.8109724135490681, 1.8125790616571453, 1.8148599533475169, 1.8177449545437305, 1.8211697966127423, 1.8250756479894528, 1.8294086884561964, 1.8341196946219449, 1.8391636426193378, 1.8444993320520058, 1.8500890336857043, 1.855898162203397, 1.8618949744637845, 1.868050293056694, 1.8743372544850825, 1.8807310809831805, 1.9003330848161717, 1.9201658682277984, 1.9397975597305361, 1.9588746896430154, 1.977105955132487, 1.9942522399927201, 2.0101209519054963, 2.024563128254536, 2.0374721080727838, 2.048782868942034, 2.0584713802520009, 2.0665535263918926, 2.0730833092361434, 2.0781501602589101, 2.0818752949601969, 2.0844071404282101, 2.0859159669391678, 2.0865879512628402, 2.0866189783409252, 2.0862085320674639, 2.0855540228730303, 2.0848458480352932, 2.0842633899347618, 2.0839720458670277, 2.084121271034113, 2.0848435214881631, 2.0862539171323045, 2.0884504101449668, 2.0915142391621755, 2.0955104684247727, 2.1004884469092158, 2.106482068851137, 2.1135097691593674, 2.1215742416380547, 2.1306619223112739, 2.1407423322239918, 2.1517674208984974, 2.1636710887997266, 2.1763690888578018, 2.1897595065349722, 2.2037239888318374, 2.2181298313653386, 2.2328329406429637, 2.2476815743361782, 2.2625206415894694, 2.2771962396977994, 2.2915600357049262, 2.3054730899921156, 2.3188087719143819, 2.3314545295316962, 2.3433124277012474, 2.3542985334603124, 2.3643413748466928, 2.3733798042417056, 2.3813606453950227, 2.3882364920592853, 2.3939639639839827, 2.3985026285681053, 2.40181468252747, 2.4038653756853354, 2.4046240634428262, 2.4040657060395532, 2.4021725967095322, 2.3989360977293379, 2.3943581893112911, 2.3884526841622575, 2.3812460210633892, 2.3727776141157175, 2.3630997911735965, 2.3522773982523022, 2.3403871719018392, 2.327516987284548, 2.3137650774219356, 2.2992392924973495, 2.2840564324254662, 2.2683416470191435, 2.2522278617713893, 2.2358551584487851, 2.2193700217471934, 2.2029243575028445, 2.1866741934046035, 2.1707779869411254, 2.1553944838760435, 2.14068009149136, 2.1267857547502538, 2.1138533544241489, 2.1020116894903311, 2.0913721637882556, 2.0820243619952952, 2.0740317528037449, 2.0674277671370418, 2.0622124321262607, 2.0583495693121323, 2.0557642723597516, 2.0543399595488538, 2.0539137427994225, 2.054268153454184, 2.0551164237946353, 2.0560777421872611, 2.0566391703215618, 2.056105864302284, 2.0535620736524995, 2.047930152585987, 2.0383645768352072, 2.0253760725208663, 2.0125787462866844, 2.006760654972779, 2.0133346679527122, 2.0314580441964534, 2.055927217766214, 2.0820357809638308, 2.1073786410318833, 2.1312250217699749, 2.1536006830160215, 2.1747523081897753, 2.1949173591142688, 2.214244098569496, 2.2327732421499968, 2.2504437210035571, 2.2671092600990392, 2.2825615330862856, 2.296557678956102, 2.3088491709823735, 2.3192078174937412, 2.3274445847532945, 2.3334186295947115, 2.3370369900880865, 2.3382484830941084, 2.3374404509380393, 2.3350225158944879, 2.3310141246740281, 2.3254505383447808, 2.3183859562968832, 2.3098959302759483, 2.3000778082097879, 2.2890483531893153, 2.276938320350312, 2.2638844447759467, 2.2500198025783811, 2.2354637381804752, 2.2203125039244824, 2.2046315457255461, 2.1884501804495202, 2.1717594852824802, 2.1545148494234398, 2.1366462208903516, 2.1180821635728497, 2.0987989645795766, 2.0789127517714259, 2.058836092409547, 2.0395038045479752, 2.0225981431227651, 2.0105393815349895, 2.005866533241937, 2.0099250904728354, 2.021706468850577, 2.0381080699708161, 2.0555547904555254, 2.0714901428216672, 2.0847790860789792, 2.0953289740167174, 2.1035653147369815, 2.1100699318739964, 2.1154023494369416, 2.1200363217383007, 2.1243514283481271, 2.1286453657678517, 2.1331510602339017, 2.1380524984775522, 2.1434975538266596, 2.1496077836575926, 2.1564856941179174, 2.1642200223665546, 2.1728894819013935, 2.1825652720798319, 2.1933125069176009, 2.2051905751167098, 2.2182522929751114, 2.2325415367090415, 2.2480888170010678, 2.264903956085504, 2.2829646099096061, 2.3021988062380143, 2.3224589182684849, 2.3434835905335736, 2.3648432582287704, 2.3858645875349147, 2.4055306944747366, 2.4223600199332886, 2.4342818883438855, 2.4385572079935587, 2.4318413943277117, 2.4105387245840713, 2.3715963467528183, 2.3137279747404653, 2.2386810437092288, 2.1517641666288996, 2.0609456211278037, 1.9746904161628787, 1.8996671371190887, 1.8395012311432311, 1.794873045038947, 1.7644318013658309, 1.7458373046845066, 1.7365357840428448, 1.7341938684112841, 1.7368722925418572, 1.7430481087107359, 1.7515671832406283, 1.7615748151356871, 1.7724476624971843, 1.7837358961834551, 1.7951174410237873, 1.8063632035603079, 1.8173112660646882, 1.8278480037370697, 1.8378943842567024, 1.8473960788179498, 1.8563163501738813, 1.8646309562395289, 1.8723245172561556, 1.8793879503038029, 1.8858166888443424, 1.8916094874798419, 1.8967676716037467, 1.9012947343972486, 1.9051962142252858, 1.9084798070569464, 1.9111556831374961, 1.9132369859832266, 1.9147404953912144, 1.9156874345511292, 1.9161043941018177, 1.9160243324372233, 1.9154875910923077, 1.9145428363982566, 1.9132478045681538, 1.9116696895586804, 1.9098849768398516, 1.9079785006646017, 1.906041500697909, 1.9041684923046218, 1.9024528601052879, 1.9009812480753883, 1.8998270498017693, 1.8990435762271964, 1.8986577453694453, 1.898665325973377, 1.8990287942535118, 1.8996786686010241, 1.9005187591188366, 1.9014351623034786, 1.9023081635840251, 1.90302563040717, 1.9034961205223035, 1.9036598747270261], [2.4810386716244826, 2.4796800134444128, 2.4756258978289774, 2.4689444232709867, 2.4597558429591189, 2.4482376888766444, 2.4346243162208459, 2.4191976379258766, 2.4022687328435115, 2.384152879883505, 2.3651421638562162, 2.3454796667794446, 2.3253378535015599, 2.3048021733457409, 2.28386072604928, 2.2624050116331604, 2.240262856457186, 2.2173333444519026, 2.1940202539058098, 2.1723673052663428, 2.1579122725934776, 2.1586685240657046, 2.1748731690360446, 2.1938384165922247, 2.2054057455181502, 2.209170994502661, 2.208265543383678, 2.2053114277495047, 2.2018850338666587, 2.1988676614593712, 2.1967616975468784, 2.1958703136060893, 2.1963862314395191, 2.198430584087562, 2.2020651516570844, 2.2072903520123348, 2.214036249142493, 2.2221518813699208, 2.2313975829541, 2.2414444520810894, 2.2518839249139893, 2.2622483398055926, 2.2720409021709225, 2.280771488380279, 2.2879938618159379, 2.2933399116786433, 2.2965468188105098, 2.2974734399439987, 2.2961032703420918, 2.292533581039919, 2.2869532272500268, 2.2796139203559482, 2.270800447229167, 2.260804362915148, 2.2499038073545297, 2.2383501848953662, 2.2263610602111399, 2.2141179143586918, 2.2017672447165761, 2.1894236645147775, 2.1771739682964668, 2.1650814526888276, 2.1531900545819416, 2.1415280718814489, 2.1301113694111189, 2.1189460576129306, 2.1080306791769789, 2.0973579613054696, 2.0869161985602624, 2.0766903298158179, 2.0666627670881859, 2.0568140266003123, 2.0471232049228187, 2.0375683362357844, 2.028126661102724, 2.0187748328210713, 2.0094890845063902, 2.0002453786510705, 1.9910195611079931, 1.9817875435139445, 1.9725255424855646, 1.9632104111267563, 1.9538201094526861, 1.9443343767268075, 1.9347356925978993, 1.9250106485342586, 1.9151519011380178, 1.9051609514998997, 1.8950521001655249, 1.8848580806884465, 1.8746380981795452, 1.8644893241664109, 1.8545633688415362, 1.8450899224715136, 1.8364106920410073, 1.8290280007302764, 1.8236739153787063, 1.8214071803552148, 1.8237454804906492, 1.8328368256924119, 1.8516597799914076, 1.884205266560945, 1.9355129637284476, 2.0112970318092862, 2.1167373278169199, 2.2540409853005796, 2.4190480023289589, 2.5987246683651177, 2.7726364853243317, 2.9196119411983377, 3.0258496545893601, 3.0886342368794937, 3.1140624263565027, 3.1121001964740551, 3.0925833651363339, 3.0633292244402299, 3.0298115817719005, 2.9955467929696682, 2.962642006214367, 2.9322727402285258, 2.9050330578362655, 2.8811711512668556, 2.8607402216133075, 2.8436921584273773, 2.8299344457453306, 2.8193641109991185, 2.8118876126816206, 2.807432221182661, 2.805952267452108, 2.8061732954775915, 2.8068368007210607, 2.807944044838496, 2.8094971243034461, 2.811498960503731, 2.8139532849066495, 2.8168646182750154, 2.8202382425524846, 2.8240801636164048, 2.8283970625987438, 2.83319623288528, 2.8384854991863282, 2.8442731142143938, 2.8505676274505318, 2.8573777192157115, 2.8647119917094841, 2.8725787068042559, 2.8809854581047487, 2.8899387620310844, 2.8994435493786126, 2.9095025348516823, 2.9201154373852476, 2.9312780185703353, 2.94298090015279, 2.9552081143892122, 2.9679353331430538, 2.981127713301059, 2.9947372879675753, 3.0086998260010063, 3.0229310784881775, 3.0373223323783471, 3.0517352027322975, 3.0659956217130526, 3.0798870326969463, 3.0931428825876304, 3.1054386382339385, 3.1163837495070741, 3.1255142575888146, 3.1322871126889766, 3.1360777170197403, 3.1361827145564845, 3.1318305299604465, 3.1222024683153777, 3.1064670976971089, 3.0838298526234071, 3.0535980173441333, 3.0152583021477577, 2.968560272287323, 2.9135946213325901, 2.8508519940138823, 2.7812474100680236, 2.706098690049183, 2.6270548663479794, 2.545980869121661, 2.4648147653174317, 2.385420087158276, 2.3094561259372175, 2.2382835905276681, 2.1729139922005154, 2.114001714708253, 2.0618706330184859, 2.0165636065458101, 1.9779029917277708, 1.9455524059486813, 1.9190730424363118, 1.89797086860482, 1.8817334644790038, 1.8698568902259447, 1.8618638789108051, 1.857315009706487, 1.8558145210357611, 1.8570122330973451, 1.8606027782855348, 1.8663230558708845, 1.8739485706209225, 1.8832890985949859, 1.8941839491887329, 1.9064969563571508, 1.9201112273801271, 1.9349235984824593, 1.9508386889578309, 1.9677624080927052, 1.9855947550849145, 2.0042217692572346, 2.0235065500120437, 2.0432793931487718, 2.0633273071222606, 2.0833835042669708, 2.1031179219046354, 2.1221304008223369, 2.1399487607213263, 2.1560345027471994, 2.1697989718721762, 2.1806321821029204, 2.1879448288458474, 2.1912211978156719, 2.1900771124710952, 2.1843137313006125, 2.1739563304873988, 2.1592684514232303, 2.1407362815427273, 2.1190247695367552, 2.0949135108504482, 2.0692245390914774, 2.0427545643182476, 2.0162212591050768, 1.9902284669977914, 1.9652505276831682, 1.9416325627144491, 1.9196019722494433, 1.8992862980347522, 1.8807334378004907, 1.8639313848897074, 1.8488258184217745, 1.8353347837038987, 1.8233603283276005, 1.8127973286340935, 1.8035399185065346, 1.795485983600364, 1.7885401624814046, 1.7826157392426056, 1.7776357436411776, 1.7735335078983945, 1.7702528703783931, 1.7677481675687623, 1.7659841169717534, 1.7649356634246112, 1.7645878383171403, 1.7649356634245956, 1.7659841169717303, 1.7677481675687683, 1.7702528703783857, 1.7735335078983843, 1.7776357436411685, 1.7826157392426063, 1.7885401624814112, 1.7954859836003656, 1.8035399185065457, 1.8127973286341081, 1.8233603283276016, 1.8353347837038665, 1.8488258184217712, 1.8639313848896975, 1.8807334378004894, 1.899286298034728, 1.9196019722494508, 1.9416325627144098, 1.9652505276831476, 1.9902284669977874, 2.0162212591050528, 2.0427545643182499, 2.0692245390914819, 2.0949135108504531, 2.1190247695367459, 2.1407362815427486, 2.1592684514232254, 2.173956330487373, 2.1843137313006094, 2.1900771124710898, 2.191221197815679, 2.1879448288458523, 2.1806321821029155, 2.169798971872174, 2.156034502747199, 2.1399487607213157, 2.1221304008223449, 2.1031179219046514, 2.083383504266989, 2.0633273071222749, 2.0432793931487696, 2.0235065500120508, 2.0042217692572275, 1.9855947550848998, 1.9677624080926941, 1.9508386889578404, 1.9349235984824633, 1.9201112273801237, 1.9064969563571641, 1.8941839491887389, 1.8832890985949788, 1.8739485706209134, 1.8663230558708954, 1.8606027782855263, 1.8570122330973409, 1.8558145210357724, 1.8573150097064963, 1.8618638789108035, 1.8698568902259411, 1.8817334644790105, 1.8979708686048351, 1.9190730424363069, 1.9455524059487046, 1.9779029917277731, 2.016563606545811, 2.0618706330184606, 2.1140017147083094, 2.1729139922005793, 2.2382835905275833, 2.3094561259372468, 2.3854200871582489, 2.4648147653173855, 2.5459808691215837, 2.6270548663479678, 2.7060986900492714, 2.7812474100681279, 2.8508519940139028, 2.9135946213326145, 2.9685602722873399, 3.0152583021477626, 3.0535980173441888, 3.0838298526234689, 3.1064670976971369, 3.1222024683153817, 3.1318305299604412, 3.1361827145564831, 3.1360777170197349, 3.132287112688954, 3.1255142575888017, 3.1163837495070741, 3.1054386382339234, 3.0931428825876011, 3.0798870326969072, 3.0659956217130739, 3.0517352027322855, 3.037322332378289, 3.0229310784881638, 3.0086998260009565, 2.994737287967538, 2.9811277133010488, 2.9679353331430556, 2.955208114389178, 2.9429809001527731, 2.9312780185702989, 2.9201154373852414, 2.9095025348517165, 2.8994435493786028, 2.8899387620311261, 2.88098545810477, 2.8725787068042896, 2.8647119917094579, 2.8573777192157448, 2.8505676274505842, 2.8442731142143716, 2.8384854991863486, 2.8331962328852778, 2.828397062598762, 2.8240801636164008, 2.8202382425524823, 2.816864618274987, 2.8139532849066686, 2.8114989605036973, 2.8094971243034355, 2.8079440448385107, 2.8068368007210802, 2.8061732954775747, 2.8059522674520396, 2.8060627697021387, 2.8063943459638887, 2.8069472044594965, 2.8077216911771767, 2.8087182882759083, 2.8099376118064043, 2.8113804087021048, 2.8130475529796595, 2.8149400410727496, 2.8170589862060225, 2.8194056116990525, 2.8219812430692039, 2.8247872987813318, 2.8278252794674685, 2.8310967554136788, 2.8346033520801823, 2.8383467333882493, 2.8423285824699311, 2.8465505795337553, 2.851014376452996, 2.8557215676319943, 2.8606736566440474, 2.8658720180700348, 2.8713178538952406, 2.8770121437356386, 2.8829555880776048, 2.8891485436127748, 2.8955909496390264, 2.9022822443760736, 2.9092212699123072, 2.9164061643562298, 2.9238342396101382, 2.9315018430226325, 2.9394042010050021, 2.9475352425239074, 2.9558874002079598, 2.9644513866428426, 2.9732159432784018, 2.9821675592551653, 2.9912901573833879, 3.0005647445027375, 3.0099690235456897, 3.0194769648465485, 3.0290583346436382, 3.0386781793504145, 3.0482962651076169, 3.0578664734374899, 3.0673361556112706, 3.0766454507092535, 3.0857265754261651, 3.0945030975744903, 3.1028892100938306, 3.1107890282964341, 3.1180959401463406, 3.1246920476022821, 3.130447746376269, 3.1352215016495224, 3.1388598879244478, 3.1411979715969278, 3.1420601239898835, 3.1412613591121334, 3.1386092924918678, 3.1339068129042991, 3.1269555452125837, 3.117560157366202, 3.1055335256544465, 3.0907027182283406, 3.0729156877744059, 3.0520484823156355, 3.0280126934698726, 3.0007627722956043, 2.9703027652433303, 2.9366919699544249, 2.9000489963355554, 2.8605537540599237, 2.8184469800786536, 2.7740270680137447, 2.7276441554367028, 2.6796916459014852, 2.6305955641430723, 2.5808023361259465, 2.5307657240647661, 2.4809337110618284, 2.4317361128106434, 2.3835735997289227, 2.3368086579941707, 2.2917588260081443, 2.2486923403700727, 2.207826137030243, 2.1693259977737664, 2.1333085206885203, 2.0998445291286019, 2.0689635135652993, 2.040658716812092, 2.0148925153048118, 1.9916018070296935, 1.9707031810971363, 1.9520977075842543, 1.9356752440832479, 1.9213182044575687, 1.9089047744272041, 1.8983115878536447, 1.8894158978883875, 1.88209728984211, 1.8762389892437923, 1.871728820570898, 1.8684598708628155, 1.8663309089896882, 1.8652466066196891, 1.8651176015722539, 1.8658604387441902, 1.8673974184713029, 1.8696563772458785, 1.8725704212588594, 1.8760776293252759, 1.880120738380517, 1.8846468218811905, 1.8896069690603106, 1.8949559710234258, 1.9006520180747948, 1.9066564113777349, 1.9129332910324468, 1.9194493818521605, 1.9261737574967943, 1.9330776231466495, 1.9401341165405706, 1.9473181269370228, 1.9546061313650651, 1.97687971263304, 1.9993668819426411, 2.0216183528542047, 2.0432502879722496, 2.0639342137658394, 2.083391760176788, 2.1013926172844219, 2.1177543685559099, 2.1323431435842823, 2.1450743093217017, 2.1559126613606776, 2.1648717659722019, 2.1720122353399796, 2.1774388072551587, 2.1812961733582514, 2.1837635834631914, 2.1850483609687097, 2.1853785890659427, 2.1849953449527431, 2.1841449381236, 2.1830716240496297, 2.1820112078350506, 2.1811858346778288, 2.180800110631647, 2.1810385390879601, 2.1820641226314139, 2.184017883882881, 2.1870190088937869, 2.1911653097271833, 2.1965337308280311, 2.2031806768362885, 2.2111420089176783, 2.220432636062379, 2.2310457128394772, 2.2429515425138824, 2.2560963702898271, 2.2704013295136569, 2.2857618642696669, 2.3020479818091588, 2.3191056727023747, 2.3367597623128917, 2.3548183179860094, 2.3730785386807267, 2.3913338206591552, 2.4093814633816768, 2.4270303027781481, 2.4441074811249068, 2.4604636137923381, 2.4759757950188459, 2.4905481680095649, 2.5041101147539755, 2.516612433938624, 2.528022114793131, 2.5383164454106906, 2.5474772073934191, 2.5554856195155891, 2.5623185313640651, 2.5679461684993412, 2.5723315255435031, 2.575431317469846, 2.5771982487373246, 2.5775842540831477, 2.5765443074543253, 2.5740403860729542, 2.5700452105863736, 2.5645454517759054, 2.5575441884364234, 2.5490625066963482, 2.5391402344846048, 2.5278358935569605, 2.5152260159379942, 2.5014040064895253, 2.4864787378746498, 2.4705730419477216, 2.4538222192254926, 2.4363726340553038, 2.4183804062713454, 2.4000101585962397, 2.3814337391067153, 2.3628288136400037, 2.3443772153197382, 2.3262629462673052, 2.3086697473049873, 2.2917781820016576, 2.2757622195627976, 2.2607853457692815, 2.2469962810810808, 2.234524435389508, 2.2234752677247318, 2.2139257247834112, 2.2059198734229435, 2.1994646820537112, 2.1945256032947924, 2.1910211181126726, 2.1888146553528514, 2.1877012049488336, 2.1873843912705841, 2.1874378190070431, 2.1872430840096242, 2.1859002146719271, 2.1821290332285779, 2.1742612822113703, 2.1606284799743465, 2.1409097233882082, 2.1184991867396379, 2.1013106811381035, 2.0971428844956446, 2.1074339076217066, 2.1277889091731463, 2.1529290283598805, 2.1794326722189798, 2.2057271852158284, 2.231307884937404, 2.2561352437885036, 2.2803109239559167, 2.3039276509629225, 2.32700545375971, 2.3494684683190843, 2.3711427273880252, 2.391767844741016, 2.4110198972601848, 2.4285428098170576, 2.4439835841140796, 2.4570248472793312, 2.4674081628970934, 2.4749441344817988, 2.4795098450067017, 2.4810386716244826, 2.4800189916236239, 2.476968031982334, 2.4719114750575302, 2.4648964201492052, 2.4559961901216458, 2.4453142705052504, 2.4329855830910945, 2.4191738788277131, 2.4040649583497848, 2.3878564051856377, 2.3707452585760516, 2.3529153799934668, 2.334526167021902, 2.3157038806236896, 2.2965364045157743, 2.2770719912630608, 2.2573226905877846, 2.2372739150305936, 2.2169032235852022, 2.1962141749213249, 2.1752951005703238, 2.1544168248426838, 2.1341829030062076, 2.1157270075871537, 2.1008875483387071, 2.0921591330455471, 2.0921042970617112, 2.1021096584051353, 2.1211329804488184, 2.14568627689092, 2.1714031380603029, 2.1948911357720391, 2.2145160786179825, 2.2300986169014569, 2.2422454374556811, 2.251819069915983, 2.2596548704764672, 2.2664548785004519, 2.2727720097267632, 2.2790294787350716, 2.2855486399105525, 2.2925746622714098, 2.3002969986391548, 2.3088645696942431, 2.3183964750790502, 2.3289891108921577, 2.3407203571090491, 2.3536512077026788, 2.3678249132956402, 2.3832633941528636, 2.3999603402128038, 2.4178700177133998, 2.4368903262516799, 2.4568380948480435, 2.4774140272380598, 2.4981542926676248, 2.5183659671766709, 2.5370453262217807, 2.5527831623793573, 2.5636726807540922, 2.5672564118140908, 2.5605798120163739, 2.540451537071053, 2.5040124450103987, 2.4496303138595539, 2.377921191403658, 2.2924227656676237, 2.199367395010944, 2.1063799357603323, 2.02060625838278, 1.9471672086630731, 1.8885500744568737, 1.8449126134873606, 1.8148581004949107, 1.7962355817501598, 1.7867303104242127, 1.7842045780496758, 1.7868453361728989, 1.7931934945639691, 1.802113924640218, 1.812743096018701, 1.8244339234459936, 1.8367065133826328, 1.8492075842746509, 1.8616785184558586, 1.873930887956101, 1.8858280202054301, 1.8972712592500849, 1.9081897951727822, 1.9185331694749137, 1.9282657734836925, 1.937362827772654, 1.9458074639034582, 1.9535886310887283, 1.9606996261719631, 1.9671371015381052, 1.9729004470358387, 1.9779914724022281, 1.982414338739402, 1.9861757031691116, 1.9892850510859252, 1.9917551960872211, 1.9936029288730164, 1.9948497930224856, 1.995522957163874, 1.9956561391812953, 1.9952905184385441, 1.9944755467874205, 1.9932695396841078, 1.9917398981046479, 1.9899627855922097, 1.9880220710516388, 1.9860073580083732, 1.9840109677465969, 1.9821238385589737, 1.980430451862464, 1.9790030918533885, 1.9778959650610506, 1.9771399067116366, 1.9767385248858738, 1.9766666225895626, 1.9768715524001983, 1.9772777973509237, 1.9777945834988899, 1.9783258056889352, 1.9787810998935393, 1.9790866229580666, 1.9791940642791181], [2.646450851065691, 2.6448291532005372, 2.6399874221067736, 2.6319998079932994, 2.6210011837906899, 2.6071971823517943, 2.5908675796180565, 2.5723582111398562, 2.5520605307857736, 2.5303820013644853, 2.5077130337159819, 2.4843964255552025, 2.4607036760302479, 2.4368204892951959, 2.412842922354514, 2.3887882045654218, 2.3646346362013282, 2.3404340307364162, 2.3166127268564765, 2.2947220402204018, 2.2789534244935439, 2.2773859340635605, 2.2968739919885413, 2.3291971725293252, 2.3551108409919839, 2.3668474983013161, 2.3684860436667363, 2.3655277213413397, 2.3613804635868085, 2.357759032263155, 2.3554706416988251, 2.3548815916587418, 2.356139338617568, 2.3592681817003274, 2.3642060414275563, 2.3708157375777712, 2.3788877390192953, 2.3881437842841402, 2.3982464652582056, 2.408816079269378, 2.4194520957848216, 2.4297535003198067, 2.4393320906976448, 2.4478166975990652, 2.4548526625997615, 2.4601053455873196, 2.4632749435025092, 2.464122709532381, 2.4625006144533748, 2.4583730906289514, 2.4518224919805349, 2.4430366001080035, 2.4322826649028211, 2.4198754140185694, 2.4061460517489177, 2.3914169068141504, 2.3759836699487633, 2.360105069624622, 2.343998659870838, 2.3278409985726376, 2.3117705902561667, 2.2958922909195785, 2.2802822469878725, 2.2649927730759063, 2.2500568298126695, 2.2354919422312531, 2.2213035141999011, 2.2074875616851193, 2.1940329224216453, 2.1809230136576194, 2.168137211540206, 2.1556519210898806, 2.1434413981887328, 2.1314783767512724, 2.1197345464854878, 2.1081809200483823, 2.0967881232957266, 2.0855266388969942, 2.0743670319884839, 2.0632801869561295, 2.0522375871870948, 2.0412116752052532, 2.0301763397861503, 2.0191075906078568, 2.0079845014740951, 1.9967905326956823, 1.9855153855475034, 1.9741576022031757, 1.9627282109393447, 1.9512558397754183, 1.9397938977346569, 1.9284306732153975, 1.9173035523111848, 1.9066190517617674, 1.8966810284293723, 1.8879302902727229, 1.8809998493416269, 1.8767910045431198, 1.8765756719197255, 1.8821283044244126, 1.895882901821131, 1.9210903109077457, 1.9619074238570273, 2.023271442842165, 2.1103049737218833, 2.2269331960840941, 2.3735769855973783, 2.5444966275766312, 2.7264917356253715, 2.9010285147403727, 3.0499173043232144, 3.161393387515357, 3.2327252765407319, 3.2685224409869811, 3.2770222991317355, 3.2668674514928013, 3.2453559670012826, 3.2179302925661486, 3.1883314071071953, 3.1589811822996205, 3.1313692189191746, 3.106364198541776, 3.0844392494916155, 3.065825768416687, 3.0506147239102313, 3.0388217858244482, 3.0304283767438043, 3.0254069383901534, 3.0237358003925578, 3.0239863324983975, 3.0247382110192227, 3.0259922761395575, 3.0277499064915214, 3.0300129857413469, 3.0327838539754488, 3.0360652419781653, 3.0398601858377536, 3.0441719185778786, 3.0490037346608343, 3.0543588222252116, 3.060240056765295, 3.0666497486151316, 3.0735893350093813, 3.0810590056453151, 3.0890572484961334, 3.0975803001166025, 3.1066214817874802, 3.1161703995569701, 3.1262119825670776, 3.1367253300424185, 3.1476823331013239, 3.1590460333352275, 3.1707686762861695, 3.1827894151365799, 3.1950316190439918, 3.2073997429979748, 3.2197757238216713, 3.2320148827647328, 3.243941342762414, 3.2553430127109211, 3.2659662579980786, 3.2755104728815532, 3.2836229031121027, 3.2898942420206305, 3.2938557414546183, 3.2949788331102461, 3.2926785236256997, 3.2863220632245427, 3.2752445175305489, 3.2587727867220866, 3.2362591803738061, 3.2071247344992728, 3.1709109647449956, 3.1273367287100431, 3.0763545726452071, 3.018198871171716, 2.9534169499015044, 2.8828749487385839, 2.8077328874617904, 2.7293880708470537, 2.6493916920209983, 2.5693487590673261, 2.490814725402442, 2.4152024708803563, 2.343710569161507, 2.2772790518908952, 2.2165736091869732, 2.1619947209926265, 2.1137054289869068, 2.0716705023346154, 2.035700275449468, 2.0054938547790284, 1.9806781264221593, 1.9608406241793188, 1.9455556085180215, 1.934403592435415, 1.9269850648581366, 1.9229293885330163, 1.9218998789076656, 1.9235959827266069, 1.9277533293462072, 1.9341422634289021, 1.9425653076828329, 1.9528538599168008, 1.9648643036327509, 1.9784736052744971, 1.9935743820007172, 2.0100693495417703, 2.0278650001080787, 2.0468643184134949, 2.0669583274599783, 2.0880162792957417, 2.1098743924926704, 2.1323232199473585, 2.1550940477176526, 2.1778452178409378, 2.2001499575297507, 2.2214881558395603, 2.2412454316748298, 2.2587235102424561, 2.2731659235238646, 2.2838018185930054, 2.289907738986213, 2.2908826470687171, 2.2863260458732202, 2.2761046755638752, 2.2603922033808783, 2.2396701933641379, 2.2146870740350346, 2.1863821421750531, 2.15578996290356, 2.1239437914540611, 2.0917941942093274, 2.0601526837413302, 2.0296628423370877, 2.0007955749976869, 1.9738619546531841, 1.9490364624762133, 1.9263844429074459, 1.9058893402279198, 1.8874770598317907, 1.8710362315292013, 1.8564341355457021, 1.8435286275988099, 1.8321766704796645, 1.8222401529191243, 1.8135896383197101, 1.8061065958978553, 1.7996845616136712, 1.7942295758779634, 1.7896601584312253, 1.7859070106171206, 1.7829125808126536, 1.7806305878541682, 1.779025567310347, 1.7780724839042259, 1.7777564380881337, 1.7780724839042092, 1.7790255673103235, 1.7806305878541751, 1.7829125808126454, 1.7859070106171093, 1.7896601584312157, 1.7942295758779649, 1.7996845616136781, 1.806106595897857, 1.8135896383197205, 1.8222401529191379, 1.8321766704796638, 1.8435286275987766, 1.8564341355456999, 1.8710362315291922, 1.8874770598317896, 1.9058893402278947, 1.9263844429074535, 1.9490364624761725, 1.9738619546531624, 2.000795574997682, 2.0296628423370615, 2.0601526837413324, 2.0917941942093341, 2.1239437914540686, 2.1557899629035497, 2.1863821421750775, 2.2146870740350351, 2.239670193364105, 2.260392203380869, 2.2761046755638739, 2.286326045873226, 2.2908826470687162, 2.2899077389862068, 2.2838018185930022, 2.2731659235238659, 2.2587235102424428, 2.2412454316748374, 2.2214881558395771, 2.2001499575297698, 2.177845217840956, 2.1550940477176477, 2.1323232199473674, 2.1098743924926615, 2.0880162792957253, 2.0669583274599677, 2.0468643184135042, 2.0278650001080836, 2.0100693495417663, 1.9935743820007337, 1.978473605274504, 1.9648643036327427, 1.9528538599167893, 1.9425653076828462, 1.9341422634288925, 1.9277533293462012, 1.9235959827266147, 1.9218998789076713, 1.9229293885330121, 1.9269850648581319, 1.9344035924354159, 1.9455556085180337, 1.9608406241793135, 1.9806781264221807, 2.0054938547790284, 2.035700275449472, 2.071670502334594, 2.1137054289869517, 2.1619947209926775, 2.2165736091869008, 2.2772790518909178, 2.3437105691614821, 2.4152024708803119, 2.4908147254023696, 2.5693487590673136, 2.6493916920210907, 2.7293880708471741, 2.8077328874618184, 2.8828749487386145, 2.9534169499015315, 3.018198871171724, 3.0763545726453052, 3.127336728710163, 3.1709109647450573, 3.2071247344992848, 3.2362591803737888, 3.2587727867220941, 3.27524451753056, 3.2863220632245511, 3.2926785236257001, 3.294978833110247, 3.2938557414546166, 3.2898942420206079, 3.2836229031120818, 3.2755104728815647, 3.2659662579980706, 3.2553430127108722, 3.2439413427624029, 3.2320148827646857, 3.2197757238216345, 3.207399742997965, 3.195031619043994, 3.1827894151365457, 3.1707686762861509, 3.159046033335188, 3.1476823331013168, 3.1367253300424567, 3.1262119825670664, 3.1161703995570118, 3.1066214817875015, 3.0975803001166411, 3.089057248496105, 3.0810590056453542, 3.073589335009439, 3.0666497486151072, 3.0602400567653181, 3.0543588222252112, 3.0490037346608534, 3.0441719185778746, 3.0398601858377501, 3.0360652419781355, 3.0327838539754679, 3.0300129857413109, 3.0277499064915103, 3.0259922761395721, 3.0247382110192471, 3.0239863324983811, 3.0237358003924779, 3.0238610572033027, 3.0242368581505534, 3.0248632939759568, 3.0257405132265678, 3.0268687181814382, 3.0282481590676937, 3.0298791264840439, 3.031761941924676, 3.0338969462696865, 3.0362844860797109, 3.0389248975035708, 3.0418184875741399, 3.044965512633627, 3.0483661535909441, 3.0520204876736807, 3.0559284562911131, 3.0600898285768774, 3.0645041601268614, 3.0691707463889042, 3.07408857009889, 3.0792562420917671, 3.0846719347394504, 3.0903333071917798, 3.096237421515144, 3.1023806487319767, 3.1087585636773278, 3.1153658274942941, 3.1221960564973648, 3.129241676041441, 3.1364937579508947, 3.1439418399902088, 3.1515737257997123, 3.1593752636922248, 3.167330102710435, 3.1754194244016887, 3.1836216488857523, 3.1919121140004658, 3.2002627266245463, 3.2086415857368333, 3.2170125774011904, 3.2253349427131841, 3.2335628208564287, 3.2416447708340206, 3.249523277236591, 3.257134247622695, 3.2644065117924561, 3.271261336467012, 3.2776119726912523, 3.2833632576563336, 3.2884112975685027, 3.2926432635820606, 3.295937338505615, 3.2981628577163331, 3.2991806930834322, 3.2988439331685289, 3.2969989158253474, 3.2934866696836282, 3.2881448178367227, 3.2808099892212241, 3.2713207695296092, 3.2595212030197507, 3.245264828590869, 3.2284191978834311, 3.2088707806677288, 3.1865301152770154, 3.1613370124530364, 3.1332655741994264, 3.1023287506942312, 3.068582134311145, 3.032126686527151, 2.9931101160488196, 2.9517266776990798, 2.9082152410580808, 2.8628555812008352, 2.815962962836112, 2.7678812121968073, 2.7189745848468498, 2.6696188290282565, 2.6201919024608786, 2.571064818953519, 2.5225930783284602, 2.4751090729481144, 2.4289157750238264, 2.3842819023173032, 2.3414386482521392, 2.3005779573578735, 2.261852237510102, 2.2253753324998571, 2.1912245345037245, 2.1594433954294345, 2.1300450959319441, 2.1030161468065316, 2.0783202245435586, 2.0559019763512545, 2.0356906658007317, 2.0176035652111182, 2.001549032737548, 1.9874292395004556, 1.9751425344154954, 1.9645854516252155, 1.9556543779662616, 1.9482469063242511, 1.9422629057358014, 1.9376053414055412, 1.9341808780798868, 1.9319002990445633, 1.9306787708725908, 1.9304359813329821, 1.9310961748761921, 1.9325881070548123, 1.9348449362712274, 1.9378040684637778, 1.9414069678101014, 1.9455989442644475, 1.9503289267652175, 1.9555492292365253, 1.9612153150502087, 1.967285564385276, 1.9737210478973679, 1.9804853092649215, 1.9875441584856848, 1.9948654772353152, 2.0024190371463044, 2.0101763315037053, 2.0181104205654909, 2.0261957904888508, 2.034408225664269, 2.0427246941204231, 2.0680836767131274, 2.0936443213986093, 2.1189284734982952, 2.1435130562189171, 2.1670255378625085, 2.1891430958275833, 2.2095940125512099, 2.228160058943331, 2.2446789094676154, 2.2590459391244821, 2.2712150194239049, 2.2811981156593437, 2.2890635806261423, 2.2949330654658318, 2.2989769760401479, 2.3014084443485703, 2.3024758884954983, 2.302454395841397, 2.3016363437392671, 2.3003218162374388, 2.2988094357544746, 2.2973881836179153, 2.2963306417458793, 2.2958878842283461, 2.2962860278515218, 2.2977242566288156, 2.3003739952627864, 2.3043788314804874, 2.3098547747210865, 2.3168904778857846, 2.3255471266096448, 2.3358578053193964, 2.3478262730727191, 2.361425219367308, 2.3765942156413513, 2.3932377239998557, 2.4112236566308631, 2.4303830751582063, 2.4505116492118848, 2.471373425623602, 2.4927072686515288, 2.5142360121091798, 2.5356779430935639, 2.556759779212924, 2.577229903056562, 2.596870384471893, 2.6155063345756058, 2.6330114215123714, 2.6493088917216707, 2.6643680748545528, 2.6781969689457061, 2.6908319812410988, 2.7023261628249724, 2.7127373069764431, 2.7221171202968328, 2.7305023906330628, 2.7379087397960293, 2.7443272208097063, 2.7497237351959258, 2.7540410207738129, 2.7572027955205294, 2.759119532731408, 2.7596952811198125, 2.7588349269687242, 2.7564513222763534, 2.752471771069569, 2.7468434709040626, 2.739537638735444, 2.7305521960087393, 2.7199130303331063, 2.7076739738775517, 2.6939157281563535, 2.6787440132089806, 2.6622872249721889, 2.6446938528179977, 2.6261298495019623, 2.6067760704905214, 2.5868258216184685, 2.5664824846003271, 2.54595713759042, 2.5254660577018853, 2.5052279854384221, 2.4854610454914345, 2.466379250193151, 2.4481885556520653, 2.4310824898465024, 2.4152374185698364, 2.4008075471268397, 2.3879197542943014, 2.3766682918460216, 2.3671092173905732, 2.3592541047099735, 2.3530620165436615, 2.3484278166614336, 2.3451634775019548, 2.3429669136842466, 2.3413700230399006, 2.3396550857267338, 2.3367315723757121, 2.3309915115256983, 2.3202586088745134, 2.3021920906038593, 2.275820398070235, 2.244348084376667, 2.2164983040069521, 2.201971578659963, 2.204265658902695, 2.2199220152175223, 2.2433235728585919, 2.2701923540063635, 2.298180718651115, 2.3262682589899746, 2.35412591890712, 2.3817155988584009, 2.4090771254845365, 2.4362216436904456, 2.4630796484563637, 2.4894782615088351, 2.5151376690166067, 2.5396836813395924, 2.5626750280206165, 2.5836422237317254, 2.6021315214710614, 2.6177448520419544, 2.6301668362602419, 2.6391738010297328, 2.6446260675786277, 2.646450851065691, 2.6452338391550181, 2.6415913173755645, 2.6355509594507636, 2.6271653043194751, 2.6165191511865182, 2.60373608251582, 2.5889815920996955, 2.5724610500296956, 2.5544119840101653, 2.5350915135855718, 2.5147608350246884, 2.4936691473406687, 2.4720392880452549, 2.4500567796171207, 2.42786326337073, 2.4055547111427993, 2.3831845837339154, 2.3607723983793121, 2.3383190888248291, 2.3158322106897731, 2.2933665577396525, 2.2710889166643131, 2.2493781500264318, 2.2289689618496911, 2.2111280769473431, 2.197794989373528, 2.1915134972031907, 2.1948866947586119, 2.2094313194490294, 2.2343099322007309, 2.2660425915585951, 2.2998066277761882, 2.3314179408155273, 2.358521019508566, 2.3805535291698749, 2.3980747141993475, 2.4120999694621701, 2.4236890117096506, 2.433763510172775, 2.4430595324026516, 2.4521402188982204, 2.4614274625192758, 2.4712342534894205, 2.4817912344228481, 2.4932661596198096, 2.5057767552114729, 2.5193978188465036, 2.5341631728254659, 2.5500626682048964, 2.567033968124746, 2.584948363336661, 2.6035894230344137, 2.6226229295439163, 2.641556455559555, 2.6596874746511325, 2.676040718688661, 2.6892997194850681, 2.6977456443512859, 2.6992301378321937, 2.6912275995998538, 2.6710302623767763, 2.636149823400983, 2.5849434187500799, 2.5173647791512042, 2.4355767991732984, 2.3440627827810818, 2.2489959287064156, 2.1569912434702085, 2.0737333438434784, 2.003034243204866, 1.9465833672281141, 1.9042757515015987, 1.8748119939547814, 1.8562941391909469, 1.8466734115977281, 1.8440226142141916, 1.8466668903594625, 1.8532217907147082, 1.8625802407927361, 1.8738766342146025, 1.8864445236391258, 1.8997762587126727, 1.9134880470735169, 1.9272913025825824, 1.9409699085875629, 1.9543625468109684, 1.9673491473789322, 1.9798405911123438, 1.9917709313505469, 2.0030915464944608, 2.0137667638480936, 2.0237706031233609, 2.0330843740630078, 2.0416949297035907, 2.0495934282624888, 2.0567744957313603, 2.0632357107334296, 2.0689773551924726, 2.0740023904562821, 2.0783166297937519, 2.0819290853008394, 2.0848524704938578, 2.0871038392252403, 2.0887053367908637, 2.0896850298502954, 2.0900777677391469, 2.0899260088910157, 2.0892805230169813, 2.0882008541216699, 2.08675540468127, 2.0850209827648389, 2.0830816492015836, 2.0810267205873902, 2.078947835925864, 2.0769350876914192, 2.0750723535749453, 2.0734321339889696, 2.0720703794542605, 2.0710219441400342, 2.0702973813459344, 2.0698817606016338, 2.0697360091586394, 2.0698009692155233, 2.0700039595850361, 2.0702672104366857, 2.0705171883178806, 2.0706936210756677, 2.0707570135581688], [2.8454126648226521, 2.8438275976834606, 2.839081835252149, 2.8312099097157382, 2.820287590195889, 2.8064513586329678, 2.7899129484073431, 2.7709620589308424, 2.7499542168012776, 2.7272854695658957, 2.7033592791570356, 2.6785524086016381, 2.6531857597296962, 2.6275040864830874, 2.6016669046320744, 2.5757536958089462, 2.5497926589465938, 2.5238402812253908, 2.4981836709384755, 2.4738334072376071, 2.4535967281604312, 2.443695614669096, 2.4532395228141732, 2.4847024607929713, 2.5227967223309999, 2.5489068613468073, 2.5596017824872757, 2.5606304480949404, 2.557565630642467, 2.5536534933965069, 2.5504854504603665, 2.5487702954393008, 2.5487740924749271, 2.5505313572796093, 2.5539408183824337, 2.5588100731757057, 2.5648817112616764, 2.5718568238722215, 2.5794220842809858, 2.587279235258054, 2.5951698903700926, 2.602885680291084, 2.6102564365882763, 2.6171178644493254, 2.6232713961438128, 2.6284557411715257, 2.6323465283404976, 2.634588057648545, 2.634846610476306, 2.6328662601118227, 2.6285093054459705, 2.6217717940452183, 2.6127744966868733, 2.6017365582976586, 2.5889413292407624, 2.5747025594762905, 2.5593361543849911, 2.5431396728834725, 2.526379541864197, 2.5092847380154435, 2.4920452544403373, 2.4748137272970712, 2.4577088891192833, 2.4408198689264919, 2.4242106827596399, 2.4079245153783417, 2.3919875797081507, 2.3764124650351759, 2.3612009622308618, 2.3463463982007582, 2.3318355335274616, 2.3176500852618909, 2.3037679368281401, 2.2901640929051372, 2.2768114313785306, 2.2636812985185291, 2.2507439883331628, 2.2379691431023585, 2.2253261097864718, 2.2127842866253218, 2.2003134961579862, 2.1878844255891603, 2.1754691836147915, 2.1630420355441435, 2.1505803973341608, 2.138066196171891, 2.125487743625035, 2.1128423215472627, 2.1001397570819114, 2.0874073698383304, 2.0746968232703744, 2.0620936187110637, 2.0497302531711079, 2.0378044411406981, 2.0266042912745021, 2.0165429233666909, 2.0082056388836378, 2.0024131996087187, 2.0003044812012005, 2.0034395671770815, 2.0139178920801801, 2.0344912139942228, 2.068622038316029, 2.120389458125659, 2.1940819899699031, 2.2932810089000206, 2.4193321384518436, 2.5694679069288049, 2.7354732370844101, 2.904191475981051, 3.0605142432051657, 3.1917342801792499, 3.2908604389134219, 3.3572541346083233, 3.3949473453313206, 3.4101803049617616, 3.4094164059458669, 3.3982462389665988, 3.3810209923570484, 3.3609015576925683, 3.340075278929981, 3.3200005955522016, 3.3016197564146395, 3.2855234787421366, 3.2720704622589629, 3.2614706761820966, 3.2538416335951168, 3.2492451780514724, 3.2477102438101584, 3.2479424209933558, 3.2486388905148771, 3.2497994548074507, 3.2514237459905231, 3.2535111668308874, 3.2560608057827878, 3.2590713237370421, 3.2625408093332471, 3.266466598842781, 3.2708450556920217, 3.2756713036547667, 3.2809389065760217, 3.2866394861987187, 3.2927622682231572, 3.2992935451626417, 3.3062160428525864, 3.3135081756843348, 3.3211431738114663, 3.3290880638269571, 3.3373024828979281, 3.3457373053080013, 3.3543330601624013, 3.3630181201539657, 3.371706644483516, 3.3802962652219288, 3.388665516853862, 3.3966710250742906, 3.404144495108381, 3.4108895742564544, 3.4166787106163676, 3.4212501925539058, 3.4243056334303774, 3.4255082638174552, 3.4244825065146896, 3.4208154309265044, 3.4140607983606786, 3.4037464944999187, 3.3893861640498018, 3.3704957684361703, 3.3466155264272626, 3.3173372193674631, 3.2823361193092522, 3.2414058497926934, 3.1944934108358058, 3.1417305800490212, 3.08345721230598, 3.0202319057959008, 2.9528263264829335, 2.8822012537236419, 2.8094649281789335, 2.7358170748146238, 2.6624843940259839, 2.5906547471649346, 2.5214173386023329, 2.4557149241445075, 2.3943118322023258, 2.3377789656504095, 2.2864945627747737, 2.240657768387103, 2.2003111801205684, 2.1653684336829775, 2.1356433669934338, 2.1108780982590836, 2.0907682357934596, 2.0749842442224633, 2.063188634369062, 2.0550490960746122, 2.0502479684916959, 2.0484885752865893, 2.0494989824144385, 2.0530336998903342, 2.0588737749815809, 2.0668256329391648, 2.0767189259526901, 2.0884035591038779, 2.1017459776848453, 2.1166247253791295, 2.1329252191394645, 2.1505336369194032, 2.1693297840944719, 2.1891788029908361, 2.2099216326868762, 2.2313642352800414, 2.2532658088460233, 2.2753265383272598, 2.2971759195637524, 2.3183633302465845, 2.3383532622247087, 2.3565283270682458, 2.3722035292582606, 2.3846549719582879, 2.3931646798708703, 2.397080313420108, 2.3958843934298786, 2.3892631728044824, 2.3771621133451499, 2.3598148709291853, 2.3377367969371035, 2.3116815850319448, 2.2825684121510217, 2.2513935698858258, 2.2191428432128641, 2.1867184408012621, 2.1548887013033999, 2.1242625144400078, 2.0952854187958661, 2.0682516019117534, 2.0433254259766183, 2.0205669462547684, 1.9999573906034183, 1.9814221268275694, 1.9648499290663235, 1.9501082559540421, 1.9370547973624856, 1.9255458159266294, 1.9154418954653822, 1.9066116870096566, 1.8989341689308963, 1.8922998452377409, 1.8866112150317633, 1.8817827658313928, 1.8777406773038186, 1.874422369855542, 1.8717759929054845, 1.8697599183305929, 1.868342283346599, 1.8675006120173803, 1.8672215340326408, 1.8675006120173649, 1.8683422833465755, 1.8697599183306013, 1.8717759929054758, 1.8744223698555318, 1.8777406773038074, 1.8817827658313939, 1.88661121503177, 1.8922998452377437, 1.8989341689309056, 1.9066116870096699, 1.9154418954653796, 1.9255458159265988, 1.9370547973624821, 1.9501082559540355, 1.9648499290663233, 1.9814221268275445, 1.9999573906034218, 2.0205669462547329, 2.0433254259765987, 2.0682516019117485, 2.0952854187958421, 2.1242625144400087, 2.154888701303407, 2.1867184408012705, 2.2191428432128553, 2.2513935698858512, 2.2825684121510252, 2.3116815850319075, 2.3377367969370901, 2.3598148709291871, 2.3771621133451539, 2.3892631728044749, 2.3958843934298719, 2.3970803134201013, 2.3931646798708752, 2.3846549719582768, 2.3722035292582682, 2.3565283270682649, 2.3383532622247292, 2.3183633302465987, 2.2971759195637484, 2.2753265383272669, 2.2532658088460154, 2.2313642352800231, 2.2099216326868625, 2.1891788029908459, 2.1693297840944767, 2.150533636919397, 2.1329252191394796, 2.116624725379137, 2.1017459776848351, 2.0884035591038654, 2.076718925952707, 2.0668256329391537, 2.0588737749815746, 2.0530336998903391, 2.0494989824144429, 2.048488575286584, 2.0502479684916914, 2.0550490960746095, 2.0631886343690735, 2.0749842442224598, 2.0907682357934805, 2.1108780982590818, 2.1356433669934387, 2.1653684336829611, 2.2003111801206043, 2.2406577683871438, 2.2864945627747137, 2.3377789656504291, 2.3943118322023009, 2.455714924144468, 2.5214173386022707, 2.5906547471649271, 2.6624843940260687, 2.7358170748147366, 2.8094649281789588, 2.8822012537236734, 2.9528263264829637, 3.0202319057959097, 3.0834572123060893, 3.1417305800491682, 3.1944934108358884, 3.2414058497927125, 3.2823361193092291, 3.3173372193674782, 3.3466155264272865, 3.3704957684362102, 3.3893861640498173, 3.4037464944999232, 3.4140607983606932, 3.4208154309264964, 3.4244825065147002, 3.4255082638174583, 3.4243056334303774, 3.4212501925538823, 3.4166787106163614, 3.4108895742564203, 3.4041444951083597, 3.3966710250742862, 3.3886655168538615, 3.3802962652219, 3.3717066444835, 3.3630181201539346, 3.3543330601623924, 3.3457373053080293, 3.3373024828979165, 3.3290880638269931, 3.3211431738114854, 3.3135081756843614, 3.3062160428525593, 3.2992935451626786, 3.2927622682232078, 3.2866394861986943, 3.2809389065760484, 3.275671303654764, 3.2708450556920359, 3.2664665988427766, 3.2625408093332409, 3.2590713237370115, 3.2560608057828078, 3.2535111668308492, 3.2514237459905138, 3.249799454807464, 3.2486388905149006, 3.2479424209933394, 3.2477102438100829, 3.2478263306927513, 3.248174540409873, 3.2487547188828279, 3.2495666050116823, 3.2506098241754455, 3.2518838790378202, 3.253388137563316, 3.2551218181204895, 3.2570839715192594, 3.2592734597985569, 3.2616889315501809, 3.2643287935302059, 3.2671911782759655, 3.2702739074095701, 3.2735744502725326, 3.2770898774953938, 3.2808168090667791, 3.2847513564244633, 3.2888890580475394, 3.2932248079864435, 3.2977527767270383, 3.3024663237410259, 3.3073579010391287, 3.3124189470119534, 3.31763976981359, 3.3230094195303601, 3.3285155483729967, 3.3341442581462664, 3.3398799342878447, 3.3457050658380001, 3.3516000508083645, 3.3575429865704636, 3.3635094450992291, 3.3694722331894615, 3.3754011381350821, 3.381262659833725, 3.3870197308774497, 3.3926314269274123, 3.3980526705755931, 3.4032339329846097, 3.408120938892389, 3.4126543820909441, 3.4167696602428261, 3.420396639899784, 3.4234594648140737, 3.4258764230655303, 3.4275598911051919, 3.4284163754588581, 3.4283466754104341, 3.4272461923219364, 3.4250054131126335, 3.4215105965224932, 3.4166446907740209, 3.4102885097149827, 3.4023221910317387, 3.3926269542160998, 3.3810871672337739, 3.3675927189620229, 3.3520416792870176, 3.3343432103944175, 3.3144206717084534, 3.2922148380240226, 3.267687127008625, 3.240822710263628, 3.2116333638016035, 3.1801599016083291, 3.1464740324416685, 3.1106794873334822, 3.0729122848930821, 3.0333400338418461, 2.9921602162919192, 2.9495974486561387, 2.9058997759009269, 2.861334114189181, 2.8161810113459333, 2.7707289387070708, 2.7252683573539294, 2.6800858135825898, 2.6354583117184642, 2.5916481881305353, 2.5488986714197175, 2.507430264557144, 2.4674380302516732, 2.4290898061207042, 2.3925253258490495, 2.3578561799394526, 2.3251665171097073, 2.2945143657994116, 2.2659334443559378, 2.2394353271282368, 2.2150118401430969, 2.1926375722594749, 2.1722724036225514, 2.1538639710276408, 2.1373500078940983, 2.1226605137557044, 2.109719723691398, 2.0984478614621516, 2.0887626710926157, 2.0805807302486454, 2.0738185551772981, 2.0683935114447682, 2.0642245475285774, 2.0612327698008048, 2.0593418778716135, 2.0584784789151511, 2.0585722986982766, 2.059556305767249, 2.0613667637713817, 2.063943225329425, 2.0672284792631994, 2.0711684614924493, 2.075712138448734, 2.0808113705446698, 2.0864207620452588, 2.092497502628262, 2.09900120499305, 2.105893742070196, 2.1131390866904773, 2.1207031559797955, 2.1285536622435286, 2.1366599716802464, 2.1449929719075307, 2.1535249489843933, 2.1622294743634773, 2.1710813019976096, 2.1800562756484885, 2.1891312462986878, 2.2167382979564705, 2.24449520239834, 2.2719068501654447, 2.2985326136538902, 2.3239845167192397, 2.3479279477451094, 2.3700835802117362, 2.3902294400298598, 2.408202421021941, 2.4238989134885029, 2.4372744904893269, 2.448342735927231, 2.4571732909887025, 2.4638890863285146, 2.4686625964254261, 2.4717108829266192, 2.4732892397777717, 2.4736834194236099, 2.4732006615447135, 2.4721599882534466, 2.4708823962401034, 2.4696816177247882, 2.4688560300680056, 2.4686820988145413, 2.469409493916241, 2.4712577801095894, 2.4744143935574421, 2.4790335017916587, 2.4852353078290093, 2.4931053943742132, 2.5026937968386642, 2.5140136306885843, 2.5270392675000179, 2.5417042441647051, 2.557899287883004, 2.5754710262892355, 2.594222097687787, 2.6139134408867224, 2.6342694820771722, 2.6549867088317178, 2.67574571454574, 2.6962262404391546, 2.7161241217702408, 2.7351684939410164, 2.7531372846031426, 2.7698690311219871, 2.7852694603957451, 2.7993119854060646, 2.8120321520176397, 2.8235169093626191, 2.8338901996844275, 2.8432966670756121, 2.8518852630141027, 2.8597942525737237, 2.8671387109077302, 2.8740011556842617, 2.8804255681627149, 2.8864147539102722, 2.8919307887899115, 2.8968981693490856, 2.9012092132200564, 2.9047312113046093, 2.9073148048141113, 2.9088030424689038, 2.9090405704778646, 2.9078824287011571, 2.9052019784879306, 2.9008975742624155, 2.8948977081490774, 2.8871644937366652, 2.8776954952744664, 2.8665240342813458, 2.8537182010438173, 2.8393788534927391, 2.8236368973220234, 2.8066501129631485, 2.7885997369082496, 2.7696869300433486, 2.7501291880625569, 2.7301566810894036, 2.7100084604646728, 2.6899284451732419, 2.670161099077708, 2.6509467295203542, 2.6325163710952904, 2.6150862556009358, 2.5988518969120911, 2.5839818191685677, 2.5706109019421972, 2.5588331697646263, 2.5486935639918369, 2.5401777321098837, 2.5331980601454647, 2.5275729484376832, 2.5229946239343493, 2.5189788275353711, 2.5147889183993866, 2.5093324332841371, 2.5010550485302492, 2.4879402651987803, 2.4679084654435761, 2.440112575404215, 2.4072205722944147, 2.3767648059693491, 2.358075934569515, 2.3560570505678111, 2.3689143518154503, 2.3915115720273645, 2.4191292994955242, 2.4487864966588488, 2.4789872004637035, 2.5091264038347219, 2.5390341954509519, 2.5687053222478493, 2.5981537732008366, 2.6273374780565972, 2.6561213038295763, 2.6842636625372593, 2.711421451658286, 2.7371716475522554, 2.7610473631436911, 2.7825831386066455, 2.8013606701665186, 2.817044459782605, 2.8293987734946326, 2.8382828953686081, 2.8436289696937838, 2.8454126648226521, 2.8442233736892892, 2.8406564317526235, 2.8347175566544349, 2.8264252898893427, 2.8158221112318444, 2.8029857415046071, 2.7880375712846335, 2.7711457317440216, 2.7525215266129641, 2.7324094450188205, 2.7110723475817755, 2.6887742939835091, 2.6657636862762453, 2.642259008083963, 2.6184386984742463, 2.5944359283013489, 2.5703385209390532, 2.5461941600654843, 2.5220214539307646, 2.4978284365355545, 2.4736417168173688, 2.4495516643963349, 2.4257812224559832, 2.4027863232264863, 2.3813895924669315, 2.3629262113819376, 2.3493286138449827, 2.3429978665751485, 2.3462702618036539, 2.3604478517112537, 2.3848117778764846, 2.4164126704170403, 2.4510446186573103, 2.4847944059948697, 2.5151204371658635, 2.5410256746286572, 2.5626348430468706, 2.5806538520070132, 2.5959696768553062, 2.6094307240393579, 2.6217565869237673, 2.6335184778686833, 2.6451503716680267, 2.6569692149820066, 2.6691942155918169, 2.681961308458729, 2.6953316159210168, 2.709293703967147, 2.7237596227283309, 2.7385545980993391, 2.7534000797021223, 2.7678898410264048, 2.7814591897699645, 2.7933484009403187, 2.8025637047447693, 2.8078431539499573, 2.8076410098020395, 2.8001528274782022, 2.7834122412070301, 2.7554939586005811, 2.7148453002435478, 2.6607284148694363, 2.5936839469365376, 2.5158488456060244, 2.4309354901560214, 2.3437673456181094, 2.2594593596967596, 2.1825165522125078, 2.1161641786480607, 2.0620885382312952, 2.020566791108898, 1.9908301300027906, 1.9714853280765865, 1.9608760898585884, 1.9573367498299257, 1.9593407201342186, 1.9655685056343539, 1.974923596460507, 1.9865192999700987, 1.9996522796532894, 2.0137722878754993, 2.0284531340863703, 2.043367146246688, 2.0582638044586301, 2.0729524202347278, 2.087288383566162, 2.101162395123692, 2.1144921178427998, 2.1272157508122902, 2.1392871120876613, 2.1506718981374866, 2.161344858806022, 2.1712876859388666, 2.1804874616369139, 2.1889355499325163, 2.1966268451924291, 2.2035593132979132, 2.209733778901815, 2.2151539247802758, 2.2198264781171804, 2.2237615638347665, 2.2269732068957691, 2.2294799637151073, 2.2313056571450671, 2.2324801795978266, 2.2330403145220501, 2.2330305077965229, 2.2325034984834491, 2.2315206947652571, 2.2301521593053466, 2.228476054177579, 2.2265773962815842, 2.2245459985010867, 2.2224735282338797, 2.2204497088766209, 2.2185578204448833, 2.2168698116435399, 2.2154414938782265, 2.2143084131435313, 2.2134830483422121, 2.2129539296315399, 2.2126870912919112, 2.2126299822542594, 2.2127175967366459, 2.2128802235556102, 2.2130519184556721, 2.2131786396352062, 2.2132249858268103], [3.0629218329331396, 3.061417763074278, 3.0568983475195437, 3.0493502751140507, 3.0387764427460922, 3.0252252080312072, 3.0088171660357004, 2.9897606266915489, 2.9683503813516512, 2.9449493598636409, 2.9199575118076422, 2.8937750500724886, 2.8667674643487873, 2.8392380814943343, 2.8114119071147292, 2.7834339036799807, 2.7553881304049712, 2.7273554887386968, 2.6995561581325638, 2.6726848198484912, 2.6486496186035335, 2.6319169349363083, 2.6306428698590549, 2.6531004056983485, 2.6951984697033908, 2.7367445981540279, 2.7622572819297218, 2.7719895985469241, 2.7725244596814611, 2.7692566590052667, 2.7652194387137268, 2.7618602124570959, 2.7597670321709153, 2.7590826142822427, 2.7597139041715448, 2.7614406526029329, 2.7639818739693154, 2.7670485744976872, 2.7703925785198904, 2.7738488394290157, 2.7773605583894936, 2.780974317249608, 2.7847983722028409, 2.7889304418095242, 2.7933760905686178, 2.7979866433804017, 2.8024406077355661, 2.8062763218328612, 2.8089642932813064, 2.8099949671069728, 2.8089562641684425, 2.8055833920332995, 2.7997754066163898, 2.7915831655341625, 2.7811787502483982, 2.7688171641548727, 2.7547988303008553, 2.739438058940793, 2.7230395977825674, 2.7058832300905857, 2.6882152048534791, 2.6702448502123879, 2.6521447534774998, 2.6340531511747227, 2.6160775019799276, 2.5982985264324236, 2.5807742523047335, 2.5635437953318769, 2.5466307381287097, 2.5300460572928145, 2.5137906020687555, 2.4978571579477125, 2.4822321432720234, 2.4668969921767934, 2.4518292770886703, 2.4370036212317236, 2.422392447934842, 2.407966610128998, 2.3936959410384944, 2.3795497662611487, 2.3654974186992384, 2.3515088016919465, 2.3375550529044755, 2.3236093730008776, 2.3096481001936335, 2.2956521362839659, 2.281608864373132, 2.2675147465986805, 2.2533788568764637, 2.2392276951362091, 2.2251117541951131, 2.2111144782370968, 2.1973644737198796, 2.1840521182067913, 2.1714520596693929, 2.1599534826474551, 2.1501003547679352, 2.1426439523083838, 2.1386093541370892, 2.1393754188529615, 2.1467624589941288, 2.1631109290855215, 2.1913148483710154, 2.2347435821545503, 2.2969502315728252, 2.3810477139049153, 2.4886878872760692, 2.6187743154994325, 2.7663789946465323, 2.9226152461587018, 3.0760399742871165, 3.215331145435969, 3.3320502418100397, 3.4221749547699494, 3.4859453608758804, 3.5265628815388101, 3.5486261972583786, 3.5569100825223559, 3.5556634518682602, 3.5483353241157638, 3.5375620775331083, 3.5252768921531148, 3.5128551100767802, 3.5012524512003216, 3.4911196005634362, 3.4828902200311527, 3.4768450739899777, 3.4731565114443175, 3.4719172609395068, 3.4721079404043551, 3.4726794674021582, 3.4736302915790049, 3.4749577747994556, 3.4766581086653132, 3.4787261966988634, 3.4811554988150868, 3.4839378349810968, 3.4870631442067994, 3.4905191942239764, 3.4942912363998642, 3.4983615995992094, 3.5027092158863158, 3.5073090701629397, 3.5121315651390312, 3.5171417924819486, 3.5222987007132862, 3.5275541505509476, 3.5328518491349392, 3.5381261561952075, 3.5433007580643592, 3.5482872099628886, 3.5529833537457525, 3.5572716279921086, 3.561017300747265, 3.5640666732966508, 3.5662453270095966, 3.5673565153977984, 3.5671798406803807, 3.5654703983360387, 3.5619586233337648, 3.5563511253182121, 3.5483328519905331, 3.5375709621341027, 3.5237208102522635, 3.506434427639662, 3.4853718105725888, 3.4602151746465246, 3.430686087662961, 3.3965650440754098, 3.3577126022875112, 3.3140907094206495, 3.2657823566180912, 3.2130073425624661, 3.1561317922003029, 3.0956692906995906, 3.0322721120823455, 2.9667120277293524, 2.8998514490732838, 2.8326069753929159, 2.765908518545245, 2.7006578220685742, 2.6376902383432466, 2.5777430709381579, 2.5214327664805696, 2.4692419825655292, 2.4215163205336232, 2.3784695051603837, 2.3401951406070673, 2.3066828994836484, 2.2778370574883842, 2.2534955729979913, 2.2334483214798766, 2.2174535350273978, 2.2052519008060845, 2.196578100814857, 2.1911698155896424, 2.1887743697034487, 2.1891532800880014, 2.1920849958643469, 2.1973661068150232, 2.2048112607882153, 2.2142519790552537, 2.225534500889927, 2.2385167301073396, 2.2530643013967144, 2.2690457372032009, 2.2863266318252267, 2.3047627857245794, 2.3241922307387064, 2.3444261514927103, 2.3652388403020499, 2.3863570462070203, 2.4074494161447442, 2.4281171885816502, 2.4478878683553313, 2.4662142114830123, 2.4824813215983745, 2.4960247465567691, 2.5061618291757677, 2.5122368949047025, 2.5136780425062399, 2.5100596727386359, 2.5011613672823305, 2.4870117086805918, 2.4679064620143274, 2.4443947594471687, 2.417233687061171, 2.3873188345691583, 2.3556034296435038, 2.3230199944163896, 2.2904159944604561, 2.2585100964345672, 2.2278703663393333, 2.1989116064244718, 2.1719067609010581, 2.1470068199303425, 2.1242643602024844, 2.1036571355935374, 2.0851094741849705, 2.0685103638541276, 2.0537279155949308, 2.0406203942156433, 2.0290442649268594, 2.0188597973403994, 2.0099347611105287, 2.0021466882491978, 1.9953840977572692, 1.9895469972468509, 1.98454690320421, 1.9803065602596208, 1.9767594908409638, 1.9738494688061188, 1.9715299823305836, 1.9697637306107969, 1.9685221841147309, 1.9677852277068926, 1.967540898793108, 1.9677852277068764, 1.9685221841147078, 1.9697637306108065, 1.9715299823305763, 1.9738494688061106, 1.9767594908409507, 1.9803065602596219, 1.9845469032042169, 1.9895469972468556, 1.9953840977572788, 2.0021466882492098, 2.0099347611105234, 2.0188597973403684, 2.0290442649268581, 2.0406203942156393, 2.0537279155949313, 2.0685103638541009, 2.0851094741849718, 2.1036571355935068, 2.1242643602024658, 2.1470068199303363, 2.171906760901035, 2.1989116064244723, 2.2278703663393404, 2.2585100964345766, 2.2904159944604459, 2.3230199944164176, 2.3556034296435082, 2.3873188345691183, 2.4172336870611573, 2.4443947594471727, 2.4679064620143305, 2.4870117086805785, 2.5011613672823252, 2.5100596727386248, 2.5136780425062479, 2.5122368949046927, 2.5061618291757712, 2.4960247465567886, 2.4824813215983954, 2.4662142114830239, 2.4478878683553247, 2.4281171885816573, 2.4074494161447353, 2.3863570462070003, 2.3652388403020344, 2.3444261514927209, 2.32419223073871, 2.304762785724574, 2.2863266318252444, 2.2690457372032093, 2.2530643013967029, 2.2385167301073232, 2.2255345008899461, 2.2142519790552408, 2.2048112607882069, 2.1973661068150276, 2.1920849958643513, 2.1891532800879956, 2.1887743697034439, 2.1911698155896393, 2.1965781008148682, 2.2052519008060809, 2.21745353502742, 2.2334483214798739, 2.2534955729980006, 2.2778370574883726, 2.3066828994836777, 2.3401951406071015, 2.378469505160334, 2.4215163205336396, 2.4692419825655074, 2.5214327664805349, 2.577743070938106, 2.6376902383432439, 2.7006578220686537, 2.7659085185453471, 2.8326069753929364, 2.8998514490733123, 2.9667120277293808, 3.0322721120823557, 3.0956692906997039, 3.1561317922004588, 3.2130073425625576, 3.2657823566181126, 3.314090709420618, 3.3577126022875365, 3.3965650440754449, 3.4306860876630236, 3.4602151746465553, 3.4853718105725986, 3.5064344276396944, 3.5237208102522688, 3.5375709621341462, 3.5483328519905237, 3.556351125318221, 3.5619586233337697, 3.5654703983360387, 3.5671798406803639, 3.5673565153977957, 3.5662453270095975, 3.5640666732966535, 3.5610173007472459, 3.5572716279920975, 3.5529833537457316, 3.5482872099628779, 3.5433007580643801, 3.5381261561951964, 3.5328518491349632, 3.5275541505509644, 3.5222987007133026, 3.517141792481929, 3.5121315651390543, 3.5073090701629788, 3.5027092158862918, 3.498361599599229, 3.4942912363998602, 3.4905191942239866, 3.4870631442067967, 3.4839378349810897, 3.4811554988150619, 3.4787261966988763, 3.4766581086652812, 3.4749577747994485, 3.4736302915790152, 3.4726794674021773, 3.4721079404043396, 3.4719172609394411, 3.4720126090385177, 3.4722984988857024, 3.4727744654406538, 3.473439727988084, 3.4742931816234854, 3.4753333852475499, 3.4765585459838872, 3.4779664999104813, 3.4795546889706417, 3.4813201339045374, 3.4832594030194706, 3.4853685765922959, 3.4876432066752772, 3.4900782720540597, 3.4926681280869509, 3.4954064511349463, 3.49828617727725, 3.5012994349946371, 3.5044374714949709, 3.5076905723540626, 3.5110479741527989, 3.5144977698046831, 3.5180268062976854, 3.5216205746177982, 3.5252630916798817, 3.528936774176358, 3.5326223043622829, 3.536298487935694, 3.5399421043485773, 3.5435277501050879, 3.5470276758740682, 3.5504116185702359, 3.5536466299533371, 3.556696903761007, 3.5595236039403102, 3.5620846971788498, 3.5643347936683454, 3.5662250008603982, 3.5677027959003604, 3.5687119234415885, 3.5691923266398948, 3.569080120285792, 3.5683076162168201, 3.5668034123224883, 3.5644925575458224, 3.5612968062210451, 3.5571349757670916, 3.5519234220595797, 3.5455766465914906, 3.5380080486440475, 3.5291308339579333, 3.5188590886465252, 3.5071090231707585, 3.4938003859690148, 3.4788580397341593, 3.4622136853572218, 3.4438077093339059, 3.4235911202142937, 3.4015275288766729, 3.3775951166217943, 3.3517885250618686, 3.3241205934142419, 3.2946238630891322, 3.2633517673520887, 3.2303794262468868, 3.1958039745169415, 3.1597443632982825, 3.1223405947093767, 3.0837523714908017, 3.0441571703324213, 3.0037477758075681, 2.9627293398732606, 2.9213160575221933, 2.8797275702704717, 2.8381852239523195, 2.7969083145133533, 2.7561104545759294, 2.7159961846735614, 2.6767579371134045, 2.6385734389262874, 2.6016036151906752, 2.5659910272599546, 2.5318588540946929, 2.4993104007767473, 2.4684290977385808, 2.4392789381733881, 2.4119052899085687, 2.3863360116969177, 2.3625828020001798, 2.3406427102630469, 2.3204997455834135, 2.3021265247431915, 2.2854859099314728, 2.270532595456682, 2.2572146116952729, 2.2454747229977765, 2.2352517039545567, 2.2264814851085037, 2.219098164808555, 2.2130348884163267, 2.2082245995674534, 2.2046006707445609, 2.2020974221604579, 2.2006505390081506, 2.2001973976339211, 2.2006773112551876, 2.2020317055796426, 2.2042042341808505, 2.2071408428272665, 2.2107897912065528, 2.2151016396873033, 2.2200292079508959, 2.2255275115379018, 2.2315536816007726, 2.238066872454529, 2.2450281608713505, 2.2524004404814377, 2.2601483141164143, 2.2682379864632285, 2.2766371589818251, 2.28531492867311, 2.2942416919618793, 2.3033890546754066, 2.3127297488501011, 2.3222375568783815, 2.3318872433158133, 2.3416544944969289, 2.3515158659584787, 2.3814424040276672, 2.4114474463930007, 2.4410197723992058, 2.4697046433010477, 2.4971043753309403, 2.522880094801137, 2.5467534642481926, 2.5685075589279864, 2.5879865501177477, 2.605094290606381, 2.6197921850588304, 2.6320967980868493, 2.642077509779218, 2.6498542438048918, 2.6555949818937576, 2.6595125598395319, 2.6618601981149386, 2.662925375977943, 2.6630219649391429, 2.6624809000256815, 2.6616399762406391, 2.6608335280044484, 2.6603827455591635, 2.6605872225090912, 2.6617180702108652, 2.6640126498184133, 2.6676707257035637, 2.6728516773970505, 2.6796723393952235, 2.6882050679982279, 2.6984757491313878, 2.7104616433078625, 2.7240891939883589, 2.7392321808427345, 2.7557108498150669, 2.773292855645888, 2.7916969546857162, 2.810600323885617, 2.8296501010081729, 2.8484792190646031, 2.8667258825588151, 2.8840552197978893, 2.9001809294092733, 2.9148843318906361, 2.9280283053774125, 2.9395641784577022, 2.949530666651865, 2.9580451362151692, 2.9652885696351592, 2.971486349474727, 2.9768872516580358, 2.9817428692515753, 2.9862892046374201, 2.9907315471511979, 2.9952331530224114, 2.9999077686615578, 3.0048157278455832, 3.0099631982220632, 3.0153041130547589, 3.0207443509737968, 3.0261477752673818, 3.031343783349965, 3.0361360301809994, 3.0403119746200482, 3.0436528641951197, 3.0459437375529657, 3.0469830029366509, 3.0465911605810598, 3.0446182854864805, 3.0409499743393651, 3.0355115772451535, 3.0282706655040195, 3.0192378119218937, 3.0084658623423648, 2.9960479433847622, 2.9821144761942988, 2.9668294514771243, 2.9503861758285708, 2.9330026360768811, 2.9149165609683534, 2.8963802003863779, 2.8776548001337559, 2.8590047288915281, 2.8406912116756242, 2.8229656339662856, 2.8060623904653186, 2.7901912442850887, 2.7755291116441612, 2.7622110604167855, 2.7503200637602867, 2.7398746260408946, 2.7308127331696967, 2.7229696252010513, 2.7160457013277863, 2.7095598819934561, 2.7027845697944901, 2.6946657117523083, 2.683757307629739, 2.6682674962717323, 2.6464444237453066, 2.6176465209306001, 2.5841302793494183, 2.552245240873916, 2.5304931742360344, 2.5245777598347723, 2.5343711042210595, 2.5556763848007011, 2.5836859728697066, 2.6148837718140485, 2.6472578732794476, 2.6798550635182607, 2.7123125835408755, 2.7445377767740524, 2.7765199857857517, 2.8082267999572301, 2.8395491606923988, 2.8702761444234506, 2.9000912965277887, 2.9285878597289274, 2.9553012163559949, 2.9797545515620172, 3.0015098086084944, 3.0202127643331003, 3.0356208610724518, 3.047606458525034, 3.0561354651685457, 3.0612291095544135, 3.0629218329331396, 3.0617935815354538, 3.0584006670640234, 3.0527222910102734, 3.0447353337111629, 3.0344292321065138, 3.0218223508036521, 3.0069763615469629, 2.9900054573977393, 2.9710782608423183, 2.9504118181548766, 2.928258706873665, 2.9048895779039454, 2.880574095012252, 2.8555631506733476, 2.8300745992914567, 2.8042838715190386, 2.7783200441953442, 2.7522674843049257, 2.7261731962959952, 2.7000605270646654, 2.6739509168887188, 2.6478968607028834, 2.6220309021066992, 2.596636495954026, 2.5722447886627244, 2.5497521956235776, 2.5305297982773487, 2.5164516185539716, 2.5097182083312473, 2.512355066208189, 2.5254218153266272, 2.5482826962847978, 2.5784828149008572, 2.6124702632253323, 2.646755682123644, 2.678808204739501, 2.7073289553547082, 2.7320349569321647, 2.7532686762261003, 2.7716538135468292, 2.787870261194541, 2.8025355135302288, 2.8161554811049827, 2.8291122755650537, 2.8416678467409593, 2.8539717298888245, 2.8660670725027648, 2.8778923435247723, 2.8892777574002828, 2.8999362881248127, 2.9094497517860094, 2.9172511867077371, 2.9226059772339181, 2.9245961393813329, 2.9221151222504274, 2.913884315781075, 2.8985064725691481, 2.8745735004041526, 2.8408429142239457, 2.7964837316931401, 2.7413651979877116, 2.6763237653487364, 2.6033112960304821, 2.5253276889392753, 2.446095449284083, 2.3695317890538892, 2.2991653639162495, 2.2376708028719987, 2.1866369834724075, 2.1465840203665567, 2.117160134138095, 2.0974179654486553, 2.0860853330181035, 2.081781741821036, 2.0831659150332489, 2.0890209596921414, 2.0982926006067784, 2.1100966171771485, 2.1237085865617003, 2.1385451284336248, 2.1541424254274157, 2.1701352739702142, 2.186238258711942, 2.2022296407843074, 2.2179379962306554, 2.2332313690269379, 2.2480085961713856, 2.2621924449883859, 2.2757242294747488, 2.2885596171801228, 2.300665386809615, 2.3120169426266055, 2.3225964319706986, 2.3323913460361725, 2.3413935117517708, 2.349598404833813, 2.3570047316145439, 2.3636142407448442, 2.3694317358567765, 2.37446526705931, 2.3787264828564436, 2.3822311246520713, 2.3849996432186789, 2.3870579100454381, 2.3884379860430074, 2.3891788955484206, 2.3893273352503406, 2.388938226599961, 2.3880749986866863, 2.3868094701485734, 2.3852211889070323, 2.3833960944093828, 2.3814243964983715, 2.379397625036193, 2.3774048985856324, 2.3755285857423525, 2.373839676476944, 2.3723933196116764, 2.3712250840472153, 2.3703485307467447, 2.3697546122629829, 2.3694132373185708, 2.3692770657211053, 2.3692872755727317, 2.369380729416855, 2.3694977201512173, 2.3695893493537303, 2.3696236040055831], [3.2991999783272767, 3.2978339542206871, 3.2937094944347187, 3.2867575667704676, 3.2768943733551223, 3.2640599652991766, 3.2482576572507638, 3.2295839010868455, 3.2082407763040517, 3.1845280409842753, 3.1588171605710751, 3.1315139808284607, 3.1030184774072955, 3.073689293101415, 3.0438187259683041, 3.0136222741390508, 2.9832479556558416, 2.952817471920671, 2.9225295603134502, 2.892896265006228, 2.8652564844669874, 2.8427736004069892, 2.8318059538418767, 2.8416325344545674, 2.8772594837650303, 2.9274496399797272, 2.9703054724885312, 2.9945922398483802, 3.0031526412904572, 3.0027674815959426, 2.9985023908039898, 2.9931468670959225, 2.9879911065165561, 2.983497830340605, 2.9797009693279306, 2.9764283329985353, 2.9734369634920501, 2.9705094954740412, 2.9675296584982327, 2.9645357255099039, 2.9617403461847123, 2.9595043910521177, 2.958261644316162, 2.958407383383034, 2.9601796140244039, 2.9635682503525791, 2.9682801925066205, 2.9737698145359626, 2.9793233262705465, 2.9841708080563243, 2.9875961302590621, 2.9890214531159871, 2.9880547683008891, 2.9845006069019338, 2.9783420168905774, 2.9697051659300424, 2.9588173433803275, 2.94596641674854, 2.9314665192337874, 2.9156319162297302, 2.8987590341843017, 2.8811155361040313, 2.8629348955598992, 2.8444149129701612, 2.8257188297198512, 2.8069779863785773, 2.7882952588261274, 2.7697487515498969, 2.7513954187079954, 2.7332744230735089, 2.7154101391995882, 2.6978147700591979, 2.6804905852161922, 2.663431810809584, 2.6466262130198714, 2.6300564214122373, 2.6137010395605138, 2.5975355896671015, 2.5815333369225, 2.5656660390908037, 2.5499046680556336, 2.5342201535283655, 2.5185842055648857, 2.5029702828785694, 2.4873547893618415, 2.4717186033205136, 2.456049074801951, 2.4403426688612222, 2.4246084903060345, 2.408873002959945, 2.3931863592159197, 2.3776308893885876, 2.3623324698238943, 2.3474756942153885, 2.33332400311998, 2.3202461462388149, 2.3087504739539031, 2.2995283963887259, 2.2935075580413291, 2.2919132274056713, 2.2963320800352949, 2.3087645426727543, 2.3316387140221417, 2.3677404583194508, 2.4199949851295997, 2.491029250479369, 2.5824796511282924, 2.6941185385766979, 2.8230566369572179, 2.9634462094902401, 3.1070754307152377, 3.2448780339467196, 3.3688453076232623, 3.473546483314454, 3.5567058180269138, 3.6188351835387138, 3.6623318090291757, 3.6905080667384933, 3.7068399346028102, 3.7145121491936881, 3.7162125942123243, 3.7140897097894143, 3.7097963713317896, 3.704568228499046, 3.6993069462151205, 3.6946542147447015, 3.6910513315933073, 3.6887836043107414, 3.6880105989064713, 3.688134859071539, 3.688506638355979, 3.6891229143104312, 3.6899785865413532, 3.6910663813614972, 3.6923767165403878, 3.693897524414699, 3.695614031150865, 3.6975084895192833, 3.6995598621549206, 3.7017434519706867, 3.7040304761890326, 3.7063875804155075, 3.7087762893498226, 3.7111523912087745, 3.7134652538116653, 3.7156570717014743, 3.7176620457989022, 3.7194055001215824, 3.7208029442888408, 3.7217590961547029, 3.7221668862853017, 3.7219064754501012, 3.7208443281559318, 3.7188323997764732, 3.7157075121548124, 3.7112910125724521, 3.7053888332001854, 3.6977920915131408, 3.6882783948125648, 3.6766140310696063, 3.6625572396590034, 3.6458627537033417, 3.6262877839535594, 3.6035995648349188, 3.5775844990881542, 3.5480588126994359, 3.5148804649263123, 3.4779618544013569, 3.4372826362290367, 3.3929017427798431, 3.3449675196671, 3.2937247928686437, 3.239517717788003, 3.1827874598643371, 3.1240641292041622, 3.0639529150632274, 3.0031149791482883, 2.9422442785019962, 2.8820419946783673, 2.8231905522638168, 2.7663292573949652, 2.7120333671811543, 2.6607979579491583, 2.6130273786240399, 2.5690304582469468, 2.529021080201316, 2.4931233108734014, 2.4613800123042613, 2.4337637769652858, 2.410189071567157, 2.3905246245501175, 2.3746052941169382, 2.3622428711844732, 2.3532354752025366, 2.3473753722765651, 2.3444551762032377, 2.3442724830909665, 2.3466330431969191, 2.3513525959038817, 2.3582574925805795, 2.3671842143219117, 2.3779778634456141, 2.390489674631588, 2.4045735589305455, 2.4200816670732372, 2.4368589442696069, 2.4547366557445938, 2.473524902270523, 2.4930042328899082, 2.5129166155943765, 2.532956263787141, 2.5527611489067805, 2.5719064528636677, 2.5899016898174851, 2.6061936634082006, 2.6201776600059983, 2.631219078229531, 2.6386867988919978, 2.6419978199551597, 2.640670061730054, 2.6343772239413994, 2.6229970240443707, 2.6066431895082438, 2.5856731235794963, 2.560667339653123, 2.5323825919746663, 2.5016862978184706, 2.4694834585662462, 2.4366477725894891, 2.4039661816252935, 2.372101917890709, 2.3415767662388638, 2.3127699195136144, 2.285929001915965, 2.2611884613013458, 2.2385911376425369, 2.2181098879737045, 2.1996672855229611, 2.1831523769933621, 2.1684341869464756, 2.1553721061758417, 2.1438235415106481, 2.1336492990444444, 2.1247171763297956, 2.1169041933838537, 2.1100978256545146, 2.1041965315629483, 2.0991098020877192, 2.0947579041528321, 2.0910714443326461, 2.0879908439795343, 2.0854657899799007, 2.0834547054115746, 2.0819242699375944, 2.0808490095406285, 2.080210968110634, 2.0799994685841199, 2.0802109681106176, 2.080849009540604, 2.0819242699376055, 2.0834547054115662, 2.0854657899798927, 2.0879908439795183, 2.0910714443326488, 2.0947579041528379, 2.0991098020877228, 2.1041965315629576, 2.1100978256545257, 2.1169041933838475, 2.1247171763297654, 2.1336492990444418, 2.1438235415106455, 2.1553721061758435, 2.1684341869464503, 2.1831523769933594, 2.1996672855229358, 2.218109887973688, 2.2385911376425294, 2.2611884613013222, 2.285929001915965, 2.3127699195136229, 2.3415767662388736, 2.3721019178906966, 2.4039661816253206, 2.4366477725894935, 2.4694834585662031, 2.5016862978184573, 2.5323825919746725, 2.5606673396531257, 2.5856731235794777, 2.6066431895082367, 2.6229970240443556, 2.634377223941414, 2.6406700617300469, 2.6419978199551593, 2.6386867988920173, 2.6312190782295506, 2.6201776600060049, 2.6061936634081939, 2.5899016898174918, 2.5719064528636579, 2.5527611489067605, 2.5329562637871277, 2.5129166155943863, 2.4930042328899118, 2.4735249022705181, 2.4547366557446102, 2.4368589442696154, 2.4200816670732235, 2.404573558930529, 2.3904896746316093, 2.3779778634456012, 2.3671842143219015, 2.3582574925805826, 2.3513525959038821, 2.3466330431969107, 2.3442724830909616, 2.3444551762032297, 2.3473753722765758, 2.3532354752025353, 2.3622428711844954, 2.3746052941169347, 2.3905246245501273, 2.4101890715671472, 2.4337637769653098, 2.4613800123042893, 2.4931233108733615, 2.5290210802013275, 2.5690304582469246, 2.6130273786240088, 2.6607979579491152, 2.7120333671811574, 2.7663292573950331, 2.8231905522639091, 2.8820419946783873, 2.9422442785020175, 3.0031149791483154, 3.0639529150632399, 3.1240641292042728, 3.182787459864497, 3.2395177177880989, 3.2937247928686681, 3.3449675196670703, 3.3929017427798742, 3.4372826362290794, 3.4779618544014359, 3.5148804649263563, 3.548058812699451, 3.5775844990882035, 3.603599564834937, 3.6262877839536305, 3.6458627537033252, 3.6625572396590229, 3.6766140310696431, 3.6882783948125706, 3.697792091513143, 3.7053888332002041, 3.7112910125724632, 3.7157075121548182, 3.7188323997764687, 3.720844328155926, 3.7219064754500959, 3.7221668862852879, 3.7217590961547122, 3.7208029442888315, 3.7194055001215922, 3.7176620457989129, 3.7156570717014734, 3.7134652538116524, 3.7111523912087878, 3.7087762893498435, 3.7063875804154902, 3.7040304761890477, 3.7017434519706813, 3.6995598621549237, 3.697508489519282, 3.695614031150857, 3.6938975244146852, 3.6923767165403993, 3.6910663813614759, 3.6899785865413555, 3.6891229143104356, 3.6885066383559955, 3.6881348590715284, 3.6880105989064234, 3.6880727486454963, 3.6882589341419409, 3.6885683623927008, 3.688999705581812, 3.6895510918403187, 3.6902200922618693, 3.6910037041269623, 3.691898330277235, 3.6928997545698561, 3.6940031133329954, 3.6952028627367008, 3.6964927419880413, 3.697865732258335, 3.6993140112515803, 3.7008289033306228, 3.7024008251283367, 3.7040192265901521, 3.7056725274198286, 3.7073480489349624, 3.7090319413840231, 3.7107091068354836, 3.7123631178195931, 3.7139761319931583, 3.7155288032050242, 3.7170001894674267, 3.7183676584923582, 3.7196067916314628, 3.7206912872679312, 3.7215928649505372, 3.7222811718383686, 3.7227236933390069, 3.7228856701760553, 3.7227300245146542, 3.7222172982034518, 3.7213056066566605, 3.7199506123940234, 3.7181055227719151, 3.715721116962297, 3.7127458077508475, 3.7091257442094334, 3.7048049617223526, 3.6997255861743108, 3.6938280993011623, 3.6870516722091273, 3.6793345738331094, 3.670614660563662, 3.6608299523678798, 3.6499192993905538, 3.6378231411975892, 3.6244843584588375, 3.6098492139390399, 3.5938683761646555, 3.5764980150970174, 3.5577009546428791, 3.5374478620041656, 3.5157184488919553, 3.49250265475608, 3.4678017777165793, 3.4416295151650349, 3.4140128734226547, 3.3849929047648484, 3.3546252308968394, 3.3229803148744281, 3.2901434486562513, 3.2562144309900196, 3.2213069199914193, 3.1855474562496635, 3.1490741650304073, 3.1120351594754312, 3.0745866797926489, 3.0368910154515429, 2.9991142675070961, 2.9614240156610276, 2.9239869589811769, 2.8869666000374421, 2.8505210395330089, 2.8148009425400673, 2.7799477286596188, 2.7460920274761449, 2.7133524283590376, 2.6818345407943496, 2.6516303688250238, 2.6228179915331205, 2.5954615313789691, 2.5696113840133656, 2.5453046771090562, 2.5225659218547558, 2.5014078189203786, 2.4818321807077055, 2.4638309332610087, 2.4473871639756379, 2.432476184881716, 2.4190665854461715, 2.4071212532519026, 2.396598345325256, 2.3874521970956204, 2.3796341598523871, 2.3730933610118821, 2.3677773844790799, 2.3636328708657031, 2.3606060393218793, 2.3586431342844061, 2.3576908015834315, 2.3576963991348503, 2.3586082479276778, 2.3603758292518209, 2.3629499341473279, 2.3662827709380343, 2.3703280364813613, 2.3750409564522936, 2.3803782996139895, 2.3862983706296133, 2.3927609855610328, 2.3997274337884726, 2.4071604296860856, 2.415024057002368, 2.4232837085317716, 2.4319060233215719, 2.4408588233403061, 2.4501110512397437, 2.4596327105694327, 2.4693948095523144, 2.479369309297522, 2.4895290771137528, 2.4998478453888477, 2.5103001763211865, 2.5208614326210093, 2.5315077541488984, 2.5637298343393295, 2.5959304684583202, 2.6275862898718434, 2.658235733740101, 2.6874815158076983, 2.7149926374869797, 2.7405048742761942, 2.7638192703406905, 2.7847987853765095, 2.8033637549651975, 2.819487098270073, 2.8331901735693195, 2.8445398668373079, 2.8536470035441366, 2.8606656483336494, 2.8657924548972571, 2.8692650640063802, 2.8713586648392235, 2.8723801938611482, 2.8726601378854881, 2.8725423922442515, 2.8723729737181438, 2.8724885257646053, 2.8732054742387385, 2.8748104487096358, 2.877552264393993, 2.8816354519816443, 2.8872150962183003, 2.8943926378908995, 2.9032123180907785, 2.9136580873247997, 2.9256510402369491, 2.9390477339078833, 2.9536400568996943, 2.9691575757478557, 2.9852734184299807, 3.0016146756103521, 3.0177779378015628, 3.033349913229737, 3.0479321430463902, 3.0611678090463474, 3.0727677673695108, 3.0825325210934524, 3.0903670729626826, 3.0962865118279117, 3.1004116018914827, 3.1029552123453215, 3.1042017499419923, 3.1044825381387469, 3.1041502135209158, 3.1035547711986027, 3.1030231046965557, 3.1028430045962332, 3.1032518073858464, 3.1044293365224642, 3.1064944786847888, 3.1095046544253502, 3.1134575083468725, 3.1182942894141723, 3.1239045579099654, 3.130131999825156, 3.1367812275596272, 3.1436254880987646, 3.1504151885937333, 3.1568870957233224, 3.1627739866891105, 3.1678144467517422, 3.1717624413168419, 3.1743962566592687, 3.1755264127111849, 3.1750022055808538, 3.172716629353741, 3.1686095417763278, 3.1626690582320895, 3.1549312647358763, 3.1454784191992182, 3.1344358532154, 3.1219677937716286, 3.1082723018412866, 3.0935754832605897, 3.0781250785295917, 3.0621834924946563, 3.0460202885919991, 3.0299041462070515, 3.0140942580434378, 2.9988311146970554, 2.9843265662605085, 2.9707529386551488, 2.9582307811158985, 2.9468144919826784, 2.9364745806584192, 2.9270746844346904, 2.9183408215367863, 2.9098202800624735, 2.9008296064595944, 2.8903993558825896, 2.8772462144650248, 2.8598547598330528, 2.8368372183701376, 2.8077948917402393, 2.7746708569491165, 2.7427199945364764, 2.7193502270830279, 2.710466121708595, 2.7173496541799858, 2.737051438780024, 2.7650938887660672, 2.7976412019596912, 2.832195023392357, 2.8674041350317196, 2.9026510613904546, 2.9377056155282659, 2.9724970601768472, 3.0069785744043287, 3.0410507120732548, 3.0745217354751437, 3.1070938067410694, 3.1383708961295564, 3.167886725981703, 3.1951497691757185, 3.2196984958919588, 3.2411557852882771, 3.2592693037567084, 3.2739267328485422, 3.2851411477254828, 3.2930104647728813, 3.297662381163537, 3.2991999783272767, 3.298175594696461, 3.2950838024074645, 3.2898729984870489, 3.2824709148012361, 3.2728029462413071, 3.2608134939229734, 3.2464866370499363, 3.2298623986761448, 3.2110455745599511, 3.1902054845831431, 3.1675667793237352, 3.1433931287167254, 3.1179667895212613, 3.091567440995826, 3.0644533188869207, 3.0368468248675944, 3.0089258023763819, 2.9808208759894161, 2.9526188602605679, 2.9243723399508514, 2.896116097245125, 2.8678920347068373, 2.8397854336049404, 2.8119763541460703, 2.7848096795235708, 2.7588835370726348, 2.7351448678138333, 2.7149585953057898, 2.7000841440344936, 2.692468603215294, 2.6937965351555881, 2.7048719351181463, 2.7251093488664822, 2.7524859533349582, 2.7840748086497542, 2.8168833174322865, 2.8485471830049578, 2.8776196120380741, 2.9034961100541725, 2.9261628880896735, 2.9459316387413614, 2.9632376759371919, 2.9785131189491221, 2.9921182786243854, 3.0043096037152281, 3.0152270956318419, 3.0248901643676596, 3.0331957354848904, 3.0399156985990321, 3.0446929598332679, 3.0470369669411301, 3.0463210469204878, 3.0417855034915551, 3.0325522378810454, 3.0176584577148624, 2.9961181499976242, 2.9670191401437993, 2.9296589263176913, 2.883712327796645, 2.8294081370092599, 2.767673924427049, 2.7001964030256671, 2.6293505963896751, 2.557981336788326, 2.489068972445327, 2.4253562365173993, 2.3690301308091031, 2.3215310071424113, 2.2835133028478709, 2.2549343206147427, 2.2352196390001855, 2.2234510295829888, 2.2185369646617774, 2.2193450967086683, 2.2247921181823576, 2.2338960960914074, 2.245800322692352, 2.2597779405606624, 2.275225018673813, 2.2916476780335726, 2.3086469662465108, 2.3259037076601445, 2.3431645262964875, 2.3602295752784461, 2.3769421100349666, 2.3931798259359476, 2.4088477777152377, 2.423872661919356, 2.4381982445547083, 2.4517817354743099, 2.4645909378973769, 2.4766020297224354, 2.4877978598850796, 2.4981666665477475, 2.5077011439683696, 2.516397801515907, 2.5242565717221437, 2.5312806347339056, 2.5374764342643785, 2.5428538652135115, 2.5474266154957821, 2.5512126441010414, 2.5542347737432509, 2.5565213693077968, 2.5581070624411058, 2.5590334680288604, 2.5593498204552305, 2.5591134376896196, 2.5583899018177161, 2.5572528294601522, 2.555783099999628, 2.554067420320544, 2.5521961388575107, 2.550260284785304, 2.5483479019429263, 2.5465398666775552, 2.5449055104007061, 2.5434984881476903, 2.5423534141382391, 2.5414837943693476, 2.5408817035127909, 2.5405194753469993, 2.5403534218489341, 2.5403293062387, 2.5403890223174934, 2.5404777280260111, 2.5405505831428332, 2.5405782657194376], [3.5535563111338955, 3.5523969682338126, 3.5488715678617839, 3.5428493997874551, 3.5341484591767882, 3.5225818452267688, 3.5080089635033578, 3.4903804719854632, 3.4697670114560548, 3.4463656143682266, 3.4204832970696604, 3.3925028405373965, 3.3628393281140796, 3.3318968083721834, 3.3000330313158148, 3.2675381652386033, 3.2346328713429062, 3.201494697557246, 3.1683333789536241, 3.1355621367999609, 3.104162363468161, 3.0764026545630552, 3.0570050559337623, 3.0540366580113827, 3.076305748432044, 3.1234704731706491, 3.1784863581094491, 3.2206469801152342, 3.2428011211481258, 3.2492714388406925, 3.2466125652020121, 3.2394875323751666, 3.2304464845584744, 3.2206537780615805, 3.210511832552787, 3.2000584129810248, 3.1892121627582815, 3.1779336604920845, 3.1663339878474321, 3.1547365658411621, 3.1436852451215991, 3.1338919967122401, 3.1261287748030839, 3.1210845384131125, 3.1192216591963593, 3.1206686806463217, 3.1251764320602771, 3.1321458890261336, 3.140716535094402, 3.1498902817623802, 3.1586616194262698, 3.1661289268597388, 3.1715714173964979, 3.1744869812029748, 3.1745949752452742, 3.1718132020265064, 3.1662198560895449, 3.1580100659084644, 3.1474541107193397, 3.1348615588604902, 3.1205531562188948, 3.1048405802317101, 3.0880131677842768, 3.0703302784484663, 3.0520178826279043, 3.0332681034728113, 3.0142406722696267, 2.9950655043017531, 2.9758458258578404, 2.9566614666421716, 2.9375720727390289, 2.9186200978966146, 2.8998335023136601, 2.8812281357171918, 2.8628098118527245, 2.8445760998929703, 2.8265178688159911, 2.8086206265537266, 2.7908656989191942, 2.773231295622451, 2.7556935133400655, 2.7382273298380744, 2.7208076495054208, 2.7034104703143802, 2.6860142563097189, 2.6686016196134275, 2.6511614433366852, 2.633691613852764, 2.616202580209499, 2.5987220230250618, 2.5813009980847945, 2.5640220233969, 2.5470097026687126, 2.5304446173045312, 2.5145813553884824, 2.4997716387540461, 2.4864934749099592, 2.4753869434934588, 2.4672963556234766, 2.4633166620843734, 2.4648385022881834, 2.4735804307085321, 2.4915881115190803, 2.5211692579818137, 2.564723318404138, 2.6244250446790138, 2.7017456920309018, 2.7968594228238595, 2.9080828962002085, 3.0315890134561512, 3.1616349384809141, 3.2913807394854464, 3.4140948509671603, 3.524326249157526, 3.6186408071919249, 3.6957571799117201, 3.7561924927183816, 3.8016706108747691, 3.8345277792477024, 3.8572499205886035, 3.8721770748485049, 3.8813515693151719, 3.8864662375268892, 3.8888714115243239, 3.8896102055965787, 3.8894627571137184, 3.8889885805370383, 3.8885616765878575, 3.8883961563453409, 3.8884331433624104, 3.8885426784953485, 3.8887204659014172, 3.8889592854483532, 3.8892489017788763, 3.8895759363392957, 3.8899237017784585, 3.8902719980520803, 3.8905968695830775, 3.8908703229561583, 3.891060004901445, 3.8911288407922111, 3.8910346345968971, 3.8907296322506282, 3.8901600518235075, 3.8892655857460885, 3.887978882812984, 3.8862250208276503, 3.8839209846960636, 3.8809751696333805, 3.8772869350199159, 3.8727462413925409, 3.8672334110921271, 3.8606190621168461, 3.8527642745129498, 3.84352105873658, 3.832733205117635, 3.8202376018027384, 3.8058661138728924, 3.7894481168078817, 3.7708137707491765, 3.7497981053897673, 3.7262459559796115, 3.700017746320567, 3.6709960530283756, 3.6390928066587702, 3.6042568919217253, 3.56648180684497, 3.525812939053016, 3.4823539298263286, 3.4362715398897135, 3.3877984224614783, 3.3372332643207234, 3.2849378836884315, 3.2313310737489926, 3.1768792390867797, 3.1220841625949101, 3.0674685256691578, 3.0135600435894623, 2.9608752333782573, 2.9099038773068879, 2.8610951733510497, 2.814846385666478, 2.7714945519602412, 2.7313115095980831, 2.6945022099635638, 2.6612060370810808, 2.6315006567932664, 2.6054078082827878, 2.5829004090543455, 2.5639103664858411, 2.5483365568916603, 2.5360525282160884, 2.5269135880040379, 2.5207630406247472, 2.5174374274963482, 2.5167706960206351, 2.5185972752201513, 2.5227540693534345, 2.5290813973978565, 2.5374229095805516, 2.5476245060332134, 2.559532271538524, 2.5729894291880409, 2.5878323104626229, 2.6038853470458503, 2.6209551197479368, 2.6388235635828505, 2.6572405385244373, 2.6759161463220988, 2.694513415285432, 2.7126422874601399, 2.7298562059191696, 2.7456529595515069, 2.7594816965291518, 2.7707580103005029, 2.7788885413668778, 2.7833054480599531, 2.7835093157967759, 2.7791167652381876, 2.769906674033543, 2.7558573193192863, 2.7371667152591632, 2.7142504727966799, 2.6877154588620331, 2.6583123843955465, 2.6268747196808713, 2.5942536779691028, 2.5612588188149488, 2.5286114461396059, 2.4969144437074777, 2.4666386874118613, 2.4381235660664928, 2.4115877742529817, 2.3871463007258584, 2.3648300644730242, 2.3446055464300328, 2.3263927126711748, 2.3100803369408407, 2.295538431506627, 2.2826278852195401, 2.2712076238234018, 2.2611396986122085, 2.2522927204091552, 2.2445440216352788, 2.2377808743403369, 2.2319010318146497, 2.2268128043899096, 2.2224348303616019, 2.218695661950457, 2.2155332536431009, 2.2128944151510552, 2.2107342723713441, 2.2090157658896743, 2.2077092066287087, 2.2067919012733119, 2.2062478553381539, 2.2060675585722986, 2.2062478553381362, 2.2067919012732871, 2.2077092066287212, 2.2090157658896659, 2.210734272371337, 2.2128944151510379, 2.2155332536431049, 2.2186956619504632, 2.2224348303616082, 2.2268128043899189, 2.2319010318146604, 2.2377808743403276, 2.2445440216352495, 2.2522927204091507, 2.2611396986122081, 2.2712076238234054, 2.2826278852195143, 2.2955384315066212, 2.3100803369408212, 2.3263927126711605, 2.3446055464300226, 2.3648300644730047, 2.387146300725858, 2.4115877742529901, 2.4381235660665008, 2.4666386874118493, 2.4969144437075048, 2.5286114461396112, 2.5612588188149061, 2.5942536779690881, 2.6268747196808802, 2.6583123843955483, 2.6877154588620114, 2.714250472796671, 2.7371667152591437, 2.7558573193193054, 2.7699066740335381, 2.779116765238185, 2.7835093157967958, 2.7833054480599717, 2.7788885413668796, 2.7707580103004941, 2.7594816965291575, 2.7456529595514949, 2.7298562059191505, 2.7126422874601248, 2.6945134152854457, 2.6759161463220988, 2.6572405385244298, 2.6388235635828647, 2.6209551197479466, 2.603885347045837, 2.5878323104626055, 2.5729894291880635, 2.5595322715385103, 2.5476245060332015, 2.5374229095805521, 2.5290813973978565, 2.5227540693534243, 2.518597275220146, 2.5167706960206235, 2.5174374274963576, 2.5207630406247419, 2.5269135880040592, 2.5360525282160822, 2.5483365568916705, 2.5639103664858349, 2.5829004090543632, 2.6054078082828096, 2.6315006567932313, 2.6612060370810884, 2.6945022099635429, 2.7313115095980542, 2.7714945519602079, 2.8148463856664825, 2.861095173351111, 2.9099038773069692, 2.9608752333782768, 3.0135600435894792, 3.0674685256691867, 3.1220841625949252, 3.1768792390868805, 3.2313310737491392, 3.2849378836885239, 3.3372332643207505, 3.3877984224614477, 3.4362715398897463, 3.4823539298263766, 3.5258129390531026, 3.5664818068450197, 3.6042568919217444, 3.6390928066588297, 3.6709960530284018, 3.700017746320662, 3.7262459559795884, 3.7497981053897944, 3.7708137707492342, 3.7894481168078955, 3.8058661138729102, 3.8202376018027775, 3.8327332051176537, 3.8435210587365876, 3.852764274512956, 3.860619062116847, 3.8672334110921369, 3.8727462413925267, 3.8772869350199155, 3.8809751696333712, 3.8839209846960587, 3.8862250208276583, 3.8879788828129662, 3.8892655857460916, 3.890160051823504, 3.8907296322506291, 3.891034634596886, 3.8911288407922231, 3.8910600049014388, 3.8908703229561517, 3.8905968695830806, 3.8902719980520706, 3.8899237017784558, 3.8895759363392997, 3.8892489017788634, 3.8889592854483621, 3.8887204659014181, 3.8885426784953618, 3.8884331433624042, 3.8883961563453151, 3.8884146797453192, 3.8884698966732572, 3.8885607456992193, 3.8886854523946726, 3.888841521268307, 3.889025724484283, 3.8892340873723725, 3.8894618707456736, 3.8897035500479653, 3.8899527913629108, 3.8902024243302047, 3.8904444120297503, 3.8906698179160144, 3.890868769909515, 3.8910304217845089, 3.8911429120287147, 3.8911933203966114, 3.8911676224307756, 3.8910506422887852, 3.8908260042854805, 3.8904760836455416, 3.8899819570568086, 3.8893233537257341, 3.8884786077593727, 3.8874246128380374, 3.8861367802962765, 3.8845890018997471, 3.8827536187902485, 3.8806013982696372, 3.8781015203051732, 3.87522157585913, 3.8719275793730246, 3.8681839979643806, 3.8639538001158327, 3.8591985268434814, 3.8538783885136234, 3.8479523906203852, 3.8413784919280851, 3.8341137984004208, 3.8261147962680382, 3.8173376274024933, 3.807738409842925, 3.7972736058454042, 3.7859004391596618, 3.7735773623753133, 3.7602645740891569, 3.745924584330365, 3.7305228251240488, 3.7140283012994653, 3.6964142746690043, 3.6776589725692381, 3.6577463095175697, 3.6366666084832167, 3.6144173060974589, 3.5910036241579602, 3.5664391881441961, 3.5407465723036577, 3.5139577503370929, 3.4861144309282706, 3.4572682584571419, 3.4274808612702969, 3.3968237328930355, 3.3653779355347759, 3.3332336200550885, 3.3004893620888494, 3.2672513200269759, 3.2336322267657609, 3.199750233234151, 3.1657276273757713, 3.1316894571571416, 3.0977620900191045, 3.0640717437375291, 3.0307430247644311, 2.997897509706235, 2.965652403696204, 2.9341193061562332, 2.9034031100241462, 2.8736010552172555, 2.8448019512228848, 2.8170855775837955, 2.7905222649924322, 2.7651726540207107, 2.7410876234257593, 2.7183083756682147, 2.6968666638768788, 2.6767851420415458, 2.6580778187032958, 2.6407505937885722, 2.6248018583943713, 2.6102231381661909, 2.5969997622670724, 2.5851115416939177, 2.5745334427030593, 2.5652362432536919, 2.5571871625537734, 2.5503504559084771, 2.5446879690692681, 2.5401596481027151, 2.5367240024216953, 2.5343385200252531, 2.532960035176655, 2.5325450497179669, 2.5330500099851858, 2.5344315418717622, 2.5366466470059477, 2.539652863286364, 2.5434083931771969, 2.5478722032221506, 2.5530040982153026, 2.558764773381093, 2.5651158477826783, 2.5720198820074556, 2.5794403829851245, 2.5873417985805975, 2.5956895043834138, 2.6044497848866377, 2.6135898110210913, 2.6230776157827767, 2.6328820694676636, 2.6429728558092571, 2.6533204501003209, 2.6638961001735884, 2.674671810915497, 2.6856203327955064, 2.6967151547084089, 2.7079305012539567, 2.7192413344128172, 2.7306233594273572, 2.7649650151781366, 2.799146788388823, 2.8326418604067665, 2.8649945748207863, 2.8958239668205175, 2.9248248154985901, 2.9517654593600779, 2.9764824027195012, 2.9988725122290343, 3.0188841613804125, 3.0365088906210187, 3.0517749699115475, 3.0647437346865911, 3.0755088471062479, 3.0841978855999024, 3.0909750625630972, 3.0960435519571603, 3.0996459455958378, 3.102061730373654, 3.1036012836118361, 3.1045965579175361, 3.1053892003530037, 3.1063171969625398, 3.1077012044266645, 3.1098315597350474, 3.1129566393087966, 3.1172728858527812, 3.1229165364451794, 3.1299569367330964, 3.1383913406360837, 3.1481412626109488, 3.1590507297911756, 3.1708871080009398, 3.1833454594116506, 3.1960575224831822, 3.2086062736587078, 3.2205465454319122, 3.2314313142229216, 3.2408421244616283, 3.2484209094590688, 3.2538995402581516, 3.2571231295124381, 3.2580636623488202, 3.2568218969741047, 3.2536173711125382, 3.2487682737595152, 3.2426643956324739, 3.2357370332649054, 3.2284295410780341, 3.2211713998653906, 3.214357527239692, 3.2083334207894678, 3.2033858257342245, 3.1997380552635994, 3.197548854959487, 3.1969137199134243, 3.197867750216405, 3.200389381169146, 3.2044045840558297, 3.209791360294977, 3.2163845241653717, 3.223980878605345, 3.2323449349707132, 3.2412153168151616, 3.2503119294663598, 3.2593438845025071, 3.2680180571477133, 3.2760480428380232, 3.2831631844803248, 3.289117279404179, 3.2936965547567953, 3.2967265250864908, 3.2980774113289457, 3.2976678948316036, 3.2954670876602976, 3.2914947046150163, 3.285819509080008, 3.2785561650677089, 3.269860658743343, 3.2599244570828616, 3.2489675555742727, 3.2372305385339963, 3.2249657405004823, 3.2124275570994065, 3.1998619049500294, 3.1874947624624168, 3.1755196205050793, 3.1640835134776299, 3.1532710685647056, 3.1430857025761822, 3.1334267675423289, 3.1240613059547777, 3.1145897003049665, 3.1044072875641406, 3.0926719913466396, 3.0783067976949852, 3.0601025223827047, 3.0370382513437977, 3.0089546609919475, 2.9775455451205417, 2.9470970634178579, 2.9238338371996635, 2.9133819006436212, 2.9180174393644807, 2.9361272865114647, 2.9639505726544355, 2.9976418527034694, 3.0343377312183013, 3.0722859327104137, 3.1105652010190039, 3.1487548682308488, 3.1866813017829312, 3.2242518580293043, 3.2613541581317533, 3.2977992416115232, 3.3332956512296148, 3.3674487354365903, 3.3997830884561422, 3.4297858323166439, 3.4569650593659458, 3.4809128910128693, 3.5013588977205301, 3.5181997179502909, 3.5314957768776702, 3.5414347170110165, 3.5482702280601122, 3.5522510404396619, 3.5535563111338955, 3.552687302477429, 3.5500501952014316, 3.545559468685926, 3.5390878003112949, 3.5304870105649928, 3.5196136575663766, 3.506355735260553, 3.4906564569449703, 3.4725313106763109, 3.4520755833927859, 3.4294612385283814, 3.4049240043178974, 3.3787432593518969, 3.3512183391468904, 3.3226450406828998, 3.2932954870091429, 3.2634034667350682, 3.2331562799360709, 3.20269332071994, 3.1721112805977065, 3.14147599898175, 3.1108415465859705, 3.0802779456957152, 3.0499097134389905, 3.0199675791323055, 2.9908541521488519, 2.9632191035608804, 2.9380281638361705, 2.9165919084389849, 2.9005002038921561, 2.8914047082851195, 2.8906351151046925, 2.8987392983426039, 2.9151522362535167, 2.9382055169706751, 2.9655212708914567, 2.9946032103828841, 3.0233456654853117, 3.0502882048833784, 3.0746180735879549, 3.0960245772392074, 3.1145132057150899, 3.1302437085934582, 3.1434136710825831, 3.1541847997413397, 3.1626406385061223, 3.1687644344855892, 3.1724288970292314, 3.1733929674489865, 3.1713035538269811, 3.1657023996324547, 3.1560399813472952, 3.1416996457847888, 3.1220359906285235, 3.0964314015241237, 3.0643730898336692, 3.0255492508025439, 2.9799567182149849, 2.9280043222443157, 2.8705882830903571, 2.8091123340191309, 2.745430270740111, 2.681704383116096, 2.6201966409943211, 2.5630318590573351, 2.5119828932188346, 2.4683214168845953, 2.4327569134958091, 2.4054610327065937, 2.3861548806449555, 2.3742286775065384, 2.3688657491232941, 2.369151458486388, 2.3741575134151396, 2.3829999438506482, 2.3948738459553165, 2.4090700615677898, 2.4249791827831975, 2.4420875194305398, 2.4599685750347891, 2.4782725089435917, 2.4967151804952854, 2.5150677145715896, 2.5331470752956706, 2.5508078430059853, 2.5679352145118521, 2.5844391505873667, 2.6002495493892019, 2.6153123100426514, 2.6295861537090288, 2.6430400815217108, 2.6556513646657636, 2.6674039785731365, 2.6782874090674085, 2.6882957725125944, 2.6974272042466612, 2.705683479705371, 2.7130698406318023, 2.7195950046020734, 2.7252713396837036, 2.7301151872179061, 2.734147314226826, 2.7373934724822813, 2.7398850335358205, 2.7416596578187131, 2.7427619413890705, 2.7432439666759012, 2.7431656651103555, 2.7425948824355708, 2.7416070256804983, 2.7402841695526954, 2.7387135155566029, 2.736985135581314, 2.7351889972850043, 2.7334113614135647, 2.7317307547213714, 2.7302138417134274, 2.7289116214951452, 2.7278564355765678, 2.727060263306238, 2.726514688297772, 2.726192743276405, 2.7260526037261608, 2.726042841056874, 2.7261087103532797, 2.7261987791707512, 2.7262711315014561, 2.7262984149990492], [3.8240026133214893, 3.8231262340339369, 3.8204283732757589, 3.8157146796309718, 3.8086990483019356, 3.7990547359095923, 3.7864746621048582, 3.7707303245493122, 3.7517180995644464, 3.7294838327000917, 3.7042214466524217, 3.6762474289809086, 3.645958422489247, 3.6137820420446998, 3.580131089171414, 3.5453695683599031, 3.5097973221168064, 3.4736611793922521, 3.4372073683191595, 3.4008071764488386, 3.3652216357240672, 3.332120517364336, 3.3049789739551163, 3.290159862182473, 3.2966464077738866, 3.3307821679818423, 3.3860768167096054, 3.4422380645051756, 3.4814772363282538, 3.49983149010195, 3.5022167162258562, 3.4947323752368269, 3.481656254699844, 3.4653862998173608, 3.4470983400627113, 3.4273286316090732, 3.406369051831184, 3.3845189989847126, 3.362236928538846, 3.3402105376641549, 3.3193507621401701, 3.3007150103861544, 3.2853753089406621, 3.2742598099272442, 3.2680036137209534, 3.2668424107501206, 3.2705705012768016, 3.278567971172988, 3.2898860543351427, 3.3033692715195992, 3.3177893448523008, 3.3319683742435546, 3.344875262548431, 3.3556874713420219, 3.3638177536449634, 3.3689111082195784, 3.3708202423680254, 3.3695684862851132, 3.3653080299807874, 3.3582793695932747, 3.348775664079362, 3.3371137873893444, 3.3236124356846766, 3.3085767431646671, 3.2922883928049651, 3.275000057775495, 3.256933056584836, 3.2382772553631232, 3.2191924386998894, 3.1998105564677473, 3.1802384177539591, 3.1605605367323131, 3.1408419388057549, 3.1211308121297323, 3.1014609445759058, 3.0818539243133358, 3.0623211079446859, 3.0428653772479666, 3.0234827170220973, 3.0041636546301294, 2.9848946084001846, 2.9656591985455556, 2.9464395819453717, 2.9272178821381489, 2.9079777993783336, 2.8887065038442223, 2.8693969394755672, 2.8500506980428417, 2.8306816646259607, 2.811320688343983, 2.7920215970551627, 2.7728689515009797, 2.7539880194853184, 2.7355575343164555, 2.7178258623979947, 2.7011312006600998, 2.6859262799092121, 2.672807637326021, 2.6625486385508741, 2.6561337861434362, 2.6547890832312935, 2.659998996318679, 2.6734948622790724, 2.6971932886297711, 2.7330588680026717, 2.7828686597966952, 2.8478738978059814, 2.9283932578000651, 3.0234278227845492, 3.1304373130212491, 3.2454192438781733, 3.3633545039675385, 3.4789397154337709, 3.5873945511292105, 3.6850981127813873, 3.7698953691973771, 3.8410604672922046, 3.8990192626046989, 3.9449720267647153, 3.9805309561792566, 4.007434902890453, 4.0273575467548035, 4.0417976202173334, 4.0520292840520229, 4.0590907545041306, 4.0637937826154893, 4.0667418934013302, 4.0683497537164941, 4.0688592292004335, 4.0687986562245033, 4.0686152593881104, 4.0683039910572454, 4.0678563922150319, 4.0672605232670227, 4.0665008676949679, 4.0655582091724938, 4.064409483055301, 4.0630276035601032, 4.0613812684750412, 4.059434743930014, 4.0571476326391682, 4.0544746301371228, 4.0513652749176439, 4.04776370007942, 4.0436083961365625, 4.0388319970940643, 4.0333611047476481, 4.0271161694556978, 4.0200114493254109, 4.0119550738088092, 4.0028492419961337, 3.9925905902464898, 3.9810707679262527, 3.968177263534423, 3.9537945258575697, 3.9378054253163457, 3.9200930985236471, 3.9005432132941418, 3.8790466808900135, 3.855502826133967, 3.8298230032968701, 3.8019346158804126, 3.7717854616709219, 3.7393482817455115, 3.7046253456307738, 3.6676528580769414, 3.6285049308108377, 3.5872968312867304, 3.5441872065755882, 3.4993789906563348, 3.4531187425703038, 3.4056942335637976, 3.3574302019043802, 3.3086823183107499, 3.2598295419817269, 3.211265182511565, 3.1633871002099183, 3.1165875610685188, 3.0712433009716795, 3.0277063407958327, 2.9862960309226567, 2.9472926985497896, 2.9109331376003071, 2.8774080355899567, 2.8468612911763445, 2.8193910544812981, 2.7950522294922653, 2.7738601186650653, 2.7557948640985153, 2.7408063432470211, 2.7288192034678205, 2.7197377610543985, 2.7134505392547577, 2.7098342696263567, 2.7087572269969349, 2.7100818070736601, 2.7136662857864748, 2.7193657206544994, 2.7270319679317754, 2.7365127972207857, 2.7476500908505685, 2.7602771229142089, 2.774214928013051, 2.7892677994899171, 2.805218009820976, 2.8218199317166555, 2.838793867419859, 2.8558200736451531, 2.8725337020950228, 2.8885216488727652, 2.9033225865277599, 2.9164316743008447, 2.927311502344832, 2.9354105897199747, 2.9401900851236435, 2.9411581268233373, 2.9379096492847339, 2.9301675326585821, 2.9178193631958615, 2.900943335303062, 2.8798175275292084, 2.8549091055999276, 2.8268435526379929, 2.7963578711731811, 2.7642447044567833, 2.7312956093022884, 2.6982510272376024, 2.6657622717727563, 2.6343679246782647, 2.6044842905785139, 2.576407593941461, 2.5503246212114425, 2.5263283964344949, 2.5044359462630745, 2.4846059526965161, 2.4667548694014361, 2.4507707459311727, 2.4365245043477506, 2.4238787427389417, 2.4126943279297302, 2.4028351231169056, 2.3941712110325999, 2.3865809482434273, 2.3799521417972254, 2.3741825888819497, 2.3691801711983635, 2.3648626522840344, 2.361157289549451, 2.3580003433809433, 2.3553365426799604, 2.3531185487003667, 2.3513064460103612, 2.349867279913342, 2.348774652905568, 2.3480083880624583, 2.3475542640930973, 2.3474038247600846, 2.3475542640930791, 2.3480083880624325, 2.3487746529055817, 2.3498672799133322, 2.3513064460103541, 2.3531185487003485, 2.3553365426799635, 2.3580003433809527, 2.3611572895494564, 2.3648626522840419, 2.3691801711983747, 2.3741825888819363, 2.3799521417971947, 2.3865809482434237, 2.3941712110326026, 2.4028351231169065, 2.412694327929704, 2.4238787427389337, 2.4365245043477355, 2.4507707459311598, 2.4667548694014254, 2.4846059526964992, 2.5044359462630714, 2.5263283964345065, 2.5503246212114505, 2.5764075939414477, 2.604484290578541, 2.6343679246782701, 2.6657622717727105, 2.6982510272375917, 2.7312956093022969, 2.7642447044567846, 2.7963578711731558, 2.8268435526379849, 2.8549091055999027, 2.8798175275292293, 2.9009433353030589, 2.9178193631958544, 2.9301675326586021, 2.9379096492847507, 2.9411581268233293, 2.9401900851236342, 2.9354105897199805, 2.9273115023448208, 2.9164316743008243, 2.9033225865277417, 2.8885216488727767, 2.8725337020950237, 2.8558200736451482, 2.8387938674198714, 2.8218199317166657, 2.8052180098209614, 2.7892677994898998, 2.7742149280130741, 2.7602771229141938, 2.7476500908505566, 2.7365127972207834, 2.7270319679317776, 2.7193657206544883, 2.713666285786466, 2.7100818070736485, 2.7087572269969438, 2.7098342696263531, 2.7134505392547807, 2.7197377610543882, 2.7288192034678342, 2.7408063432470171, 2.7557948640985281, 2.7738601186650826, 2.7950522294922386, 2.8193910544813048, 2.8468612911763227, 2.8774080355899314, 2.9109331376002805, 2.9472926985497976, 2.9862960309227127, 3.0277063407959015, 3.0712433009716942, 3.1165875610685303, 3.1633871002099418, 3.2112651825115841, 3.2598295419818157, 3.3086823183108831, 3.3574302019044677, 3.4056942335638238, 3.4531187425702776, 3.4993789906563646, 3.5441872065756361, 3.5872968312868188, 3.6285049308108914, 3.667652858076961, 3.7046253456308373, 3.7393482817455457, 3.7717854616710316, 3.8019346158803859, 3.8298230032969043, 3.8555028261340425, 3.8790466808900312, 3.9005432132941742, 3.9200930985237021, 3.9378054253163741, 3.9537945258575804, 3.9681772635344394, 3.9810707679262585, 3.992590590246512, 4.0028492419961168, 4.0119550738087977, 4.0200114493254038, 4.0271161694556801, 4.0333611047476534, 4.0388319970940278, 4.0436083961365767, 4.0477637000794058, 4.051365274917627, 4.0544746301371219, 4.0571476326391771, 4.0594347439300096, 4.0613812684750235, 4.0630276035601121, 4.0644094830552895, 4.0655582091725053, 4.066500867694967, 4.06726052326702, 4.0678563922150488, 4.0683039910572409, 4.068615259388122, 4.0687986562245024, 4.0688592292004335, 4.0688289793742962, 4.0687378316724834, 4.0685845903838098, 4.0683672591946189, 4.0680830360255742, 4.0677283058625235, 4.0672986316419184, 4.0667887432722614, 4.0661925248936157, 4.0655030005020238, 4.0647123180919902, 4.0638117325002048, 4.0627915871674345, 4.0616412950722642, 4.0603493191332962, 4.0589031524223333, 4.0572892985836804, 4.0554932529115, 4.0534994846015451, 4.0512914207616397, 4.0488514328409906, 4.0461608262193236, 4.0431998337838175, 4.0399476144114024, 4.0363822573718995, 4.0324807937633933, 4.0282192161913839, 4.0235725080012585, 4.0185146834675658, 4.013018840431025, 4.0070572269487057, 4.0006013235836289, 3.9936219429965276, 3.9860893485127198, 3.977973393310231, 3.969243681807217, 3.9598697547043926, 3.949821298959006, 3.9390683837142868, 3.9275817228819245, 3.9153329646629627, 3.9022950077854093, 3.8884423436426281, 3.8737514228168322, 3.8582010436890357, 3.841772759959043, 3.8244513029591323, 3.8062250136431306, 3.7870862781125152, 3.7670319595218582, 3.746063818239695, 3.7241889112644495, 3.7014199611661649, 3.6777756842943754, 3.6532810677186602, 3.6279675843976107, 3.6018733364541458, 3.5750431172074442, 3.5475283837828528, 3.5193871337094356, 3.4906836808882775, 3.4614883286355829, 3.4318769401139648, 3.4019304092593918, 3.3717340382064402, 3.3413768300650233, 3.3109507086045737, 3.2805496788058504, 3.2502689442481749, 3.2202039987902262, 3.1904497109114542, 3.1610994193486137, 3.1322440582822195, 3.103971329311892, 3.0763649358650209, 3.0495038935908405, 3.0234619278062933, 2.9983069663025534, 2.9741007329207996, 2.9508984443941109, 2.9287486101434967, 2.9076929321230369, 2.8877662995133679, 2.8689968711281968, 2.8514062368668758, 2.8350096484339917, 2.8198163088447123, 2.8058297099278859, 2.7930480070806492, 2.7814644208820005, 2.7710676557708358, 2.7618423267973338, 2.7537693863918289, 2.7468265441244237, 2.7409886734991296, 2.7362282008939669, 2.7325154728006069, 2.7298190984949717, 2.728106266175919, 2.7273430314227012, 2.7274945775391641, 2.7285254479713652, 2.7303997515047538, 2.7330813413746804, 2.7365339697613456, 2.7407214194004452, 2.7456076142270671, 2.7511567110931061, 2.7573331746673602, 2.7641018376472948, 2.7714279483919282, 2.779277208030063, 2.7876157990169697, 2.7964104070044802, 2.8056282377652302, 2.8152370307676531, 2.8252050708445378, 2.8355011992310217, 2.8460948250734854, 2.8569559383307852, 2.8680551248035298, 2.8793635838413092, 2.8908531490901082, 2.902496312459256, 2.9142662513071587, 2.9261368586754006, 2.9380827762392627, 2.9500794294974217, 2.9861405945937141, 3.0218567594298693, 3.0567131220447781, 3.0902798474335076, 3.1222152328284207, 3.1522640835251283, 3.1802510351268145, 3.2060695704041695, 3.2296683442675889, 3.2510369480978341, 3.270193312788487, 3.2871745757269806, 3.3020325170463116, 3.3148337560867578, 3.3256639640038728, 3.3346345642096651, 3.3418899051920494, 3.3476127959892485, 3.3520266120005409, 3.3553928343152939, 3.3580037232049671, 3.3601706474137139, 3.3622092139771067, 3.3644226588765722, 3.3670849562870524, 3.370424862418989, 3.3746117596693512, 3.3797438433717844, 3.3858389985107369, 3.3928286940283292, 3.4005553644518121, 3.4087739840707876, 3.4171587546086268, 3.4253158813630535, 3.4328031615425583, 3.4391564496570517, 3.4439219936335683, 3.4466922965963169, 3.4471418619532637, 3.4450583403529653, 3.4403646051202679, 3.4331283246815349, 3.4235575332626325, 3.4119830562880735, 3.3988307890904563, 3.3845881988522133, 3.3697697451956237, 3.3548852696985714, 3.3404141286725877, 3.3267863709464711, 3.3143709608811629, 3.3034701293658295, 3.2943184539164858, 3.2870851604835081, 3.2818782884736648, 3.2787496477859124, 3.2776998278512584, 3.2786828321279211, 3.281610174757168, 3.286354477205359, 3.2927527415568942, 3.3006095587825603, 3.3097005412541862, 3.3197762552799928, 3.3305668776689235, 3.3417877171911257, 3.353145635947822, 3.3643462880122463, 3.3751019761939602, 3.3851398261153713, 3.3942099025368542, 3.4020928552186867, 3.40860668454008, 3.4136122584647022, 3.4170172843827409, 3.4187785299309397, 3.4189021825783521, 3.4174423261149571, 3.4144975838821185, 3.4102060284606037, 3.4047384842727348, 3.3982903543817513, 3.3910720875206892, 3.383298366596339, 3.3751760435266509, 3.3668907625934099, 3.3585921004766459, 3.3503769072291893, 3.3422703830103888, 3.334204354527555, 3.3259924451368557, 3.3173028811793901, 3.3076326406112804, 3.2962936018289559, 3.282435501863509, 3.2651545763278005, 3.243765155620892, 3.2183099965073039, 3.1902670889150255, 3.1630885546970711, 3.1418547785870627, 3.1316054328237595, 3.135160560329338, 3.152120731458647, 3.1797036888543699, 3.2143975217301932, 3.253185135759018, 3.2939780994454022, 3.3355335391483929, 3.3771942264642525, 3.4186366842539297, 3.459683666881606, 3.5001800194981536, 3.5399168591443133, 3.5785915772630608, 3.6157970236065005, 3.6510373088395838, 3.6837683349348631, 3.7134583437963777, 3.7396586510798628, 3.762069767268398, 3.7805863493238849, 3.795307950391412, 3.8065109299884052, 3.814587113508094, 3.8199628585086307, 3.8230154912920762, 3.8240026133214893, 3.8233462002427365, 3.821335310300725, 3.817849752233947, 3.8127047495723678, 3.8056730349088492, 3.7965131325588319, 3.7850008705864813, 3.7709602716009156, 3.754289547152712, 3.734978286781288, 3.7131132072570576, 3.6888718042609798, 3.6625054295472199, 3.6343150987680723, 3.6046242615157174, 3.5737527006808909, 3.5419948748131351, 3.5096047824904004, 3.4767882409438515, 3.4437026417425152, 3.4104639100944647, 3.3771605311298969, 3.3438749807085348, 3.3107134726782803, 3.2778452252643846, 3.2455518173976596, 3.2142846410406167, 3.1847226485730835, 3.1578126410516565, 3.1347617041034077, 3.1169430895346908, 3.1056870926803359, 3.1019718693834086, 3.1061002768254862, 3.1175034662743148, 3.1347877544961822, 3.1560263048096013, 3.179168763641024, 3.202399786618483, 3.2243396770044317, 3.2440789052204169, 3.2611019523506064, 3.2751669254868836, 3.2861875758768138, 3.2941394550043883, 3.2989946566519479, 3.3006813957815222, 3.2990625958678219, 3.2939285458670584, 3.285000535378606, 3.2719441917902863, 3.2543926104109548, 3.2319800907007017, 3.2043871996368112, 3.1713967858151206, 3.1329583206624689, 3.0892546221491375, 3.0407611535557653, 2.9882848500918877, 2.9329685188764136, 2.8762499812545306, 2.8197729695716061, 2.7652580516679097, 2.714353080714246, 2.6684894680751317, 2.6287698519702714, 2.5959045142415809, 2.5702014383212566, 2.5516029031116494, 2.5397537133601511, 2.5340839088555298, 2.5338910985077523, 2.5384122925356531, 2.5468801773945855, 2.5585628656054582, 2.5727887720063829, 2.5889595259013727, 2.6065541011782951, 2.6251270425560937, 2.6443031092186833, 2.6637700558400601, 2.6832707355965018, 2.7025952827637312, 2.7215738173850625, 2.7400698962418275, 2.7579747919722593, 2.7752025952702626, 2.7916860865928319, 2.8073733006269346, 2.8222246994723879, 2.8362108725749908, 2.8493106885792798, 2.8615098337181601, 2.8727996814203243, 2.8831764474993533, 2.8926405940071591, 2.9011964522573623, 2.9088520414203245, 2.9156190632802375, 2.9215130560064027, 2.9265536898759708, 2.9307651854900985, 2.9341768298302622, 2.9368235572435215, 2.9387465510255324, 2.939993806936247, 2.9406205835560444, 2.940689647528095, 2.9402712071949768, 2.9394424199108911, 2.938286361513768, 2.9368903667723556, 2.9353436922445435, 2.9337345207830214, 2.932146418371643, 2.9306544611237575, 2.9293213577838824, 2.9281939792683147, 2.9273007473464676, 2.9266503086945854, 2.9262318179933176, 2.9260169802839817, 2.9259637816249278, 2.9260216046776635, 2.9261372232839689, 2.9262610328432164, 2.9263528231497222, 2.9263864421864252], [4.106850863513646, 4.1063337025874862, 4.1046939321578204, 4.1016777967680893, 4.0968986082872352, 4.0898879866630429, 4.0801603682781309, 4.0672821850785921, 4.0509346781726601, 4.0309590831065272, 4.007375836177455, 3.980375087118595, 3.9502823819180923, 3.917508631315525, 3.882495890008006, 3.8456700591926669, 3.8074098834375989, 3.7680409256307636, 3.7278664282367298, 3.68725759292755, 3.6468480775788676, 3.6079127517526288, 3.5730355791612958, 3.5470588473312525, 3.5376700133730781, 3.5534221335880964, 3.5965515503529057, 3.6552001866056552, 3.7084683683973476, 3.7419705691969436, 3.7538665178932473, 3.7490952492536946, 3.7332659445665533, 3.7104174358397248, 3.6830129117872725, 3.6525105056388187, 3.6198872232941759, 3.5859973676280283, 3.5517808473874677, 3.5183503429633083, 3.4869799705562103, 3.4590175460424195, 3.4357482159802117, 3.4182429079808889, 3.4072251894155405, 3.402982892145765, 3.4053384111313152, 3.4136780733620484, 3.4270300974370533, 3.4441742618746929, 3.4637644955806186, 3.4844472120328378, 3.5049620858321804, 3.5242169662348015, 3.5413337512528336, 3.5556665027063397, 3.5667963075584521, 3.5745091437905554, 3.5787633772543326, 3.5796528311194864, 3.5773700706297964, 3.5721730472561166, 3.5643568541389725, 3.5542312311039632, 3.5421036781364701, 3.5282675677281081, 3.5129944255030607, 3.4965295009676338, 3.4790898092496532, 3.4608639383856823, 3.4420130492856824, 3.4226726250001698, 3.4029546407683582, 3.3829499219674339, 3.3627305331809105, 3.3423521001000225, 3.321856009789431, 3.3012714671032781, 3.2806174086778372, 3.2599042935170441, 3.2391358029142179, 3.2183104941516527, 3.1974234636479317, 3.1764680873568518, 3.1554379205212184, 3.1343288565649061, 3.1131416671601291, 3.0918850734727976, 3.0705795332517587, 3.0492619703166426, 3.0279917216776657, 3.0068580305810038, 2.9859894651981413, 2.9655656800711747, 2.9458319377602891, 2.9271167314506559, 2.9098526302296874, 2.8946000069844424, 2.8820724619495945, 2.8731613432701373, 2.8689546092991218, 2.8707422960922853, 2.879997277598406, 2.8983167166135133, 2.9273085396082634, 2.9684115942256502, 3.0226515601532542, 3.0903590568631625, 3.1709077721646874, 3.2625557094148885, 3.3624719484210224, 3.4669900163787837, 3.5720541755594604, 3.6737504452775664, 3.7687817452759078, 3.8547747527132397, 3.9303758242488245, 3.9951644679774572, 4.0494539996166337, 4.0940536111204517, 4.1300467282510969, 4.1586143582700847, 4.1809106351391847, 4.1979848681797582, 4.2107390713515578, 4.2199094553861904, 4.2260621836714778, 4.2295961749742634, 4.2307480495879251, 4.2305941458076708, 4.230130733562703, 4.2293527023800941, 4.2282515091213586, 4.2268151401076057, 4.2250280594261369, 4.2228711448230385, 4.220321613089312, 4.217352937432211, 4.213934760003748, 4.2100328035493888, 4.2056087870695755, 4.2006203514527494, 4.19502100227312, 4.1887600783357604, 4.1817827561112537, 4.1740301019073431, 4.1654391854529482, 4.1559432704716199, 4.145472099713329, 4.1339522936975239, 4.1213078839329933, 4.1074610024341247, 4.0923327496969666, 4.0758442626273617, 4.0579180018915348, 4.0384792743822295, 4.0174580005848242, 3.9947907281959103, 3.9704228821006353, 3.9443112266004801, 3.9164264986639687, 3.8867561513478295, 3.8553071251940487, 3.8221085436199513, 3.7872142078530904, 3.7507047500608137, 3.7126892925332018, 3.6733064587894737, 3.6327245916911322, 3.5911410558655179, 3.5487805376318429, 3.5058923043989907, 3.462746444634007, 3.4196291747492586, 3.3768373649189827, 3.3346724954048939, 3.2934343019015389, 3.2534143971418761, 3.2148901627789148, 3.1781191891343554, 3.1433345022293437, 3.1107407616008169, 3.0805115446583762, 3.0527877606854599, 3.027677166951336, 3.0052548967945851, 2.9855648593593731, 2.9686218353823151, 2.9544140735315203, 2.9429061861057342, 2.9340421490053332, 2.9277482256764, 2.9239356549363569, 2.9225029652008985, 2.9233378002137771, 2.9263181623092454, 2.931312997788055, 2.9381820654533737, 2.9467750450535708, 2.9569298597707872, 2.9684702096118456, 2.9812023455044168, 2.9949111631819418, 3.0093557685791046, 3.0242647695855007, 3.0393316882016523, 3.0542110635364481, 3.0685160219199279, 3.0818183030889932, 3.0936519071522772, 3.1035215965139589, 3.1109173574682849, 3.1153354966665434, 3.1163062414244833, 3.1134265281806783, 3.1063952294209729, 3.095046678832138, 3.0793774359219213, 3.0595612342221106, 3.0359482649002176, 3.0090472934147248, 2.9794921022498273, 2.947996606879713, 2.9153048990126291, 2.8821429307407218, 2.8491775569287503, 2.8169866431702038, 2.7860415910584058, 2.7567015525996221, 2.7292171871516877, 2.7037411593178939, 2.6803425682314104, 2.6590229146484257, 2.6397318226918323, 2.6223813609803148, 2.6068583469758742, 2.5930344245218753, 2.5807739759936759, 2.5699400882173471, 2.5603988642136293, 2.5520223888280489, 2.5446906382468026, 2.5382925879503073, 2.5327267319238334, 2.5279011846222108, 2.5237334998498668, 2.520150308888137, 2.5170868541611928, 2.5144864740916848, 2.5123000788529706, 2.5104856446879582, 2.5090077455699364, 2.5078371345535282, 2.5069503826310586, 2.5063295798079315, 2.5059621010671149, 2.505840438616139, 2.5059621010670949, 2.5063295798079039, 2.5069503826310742, 2.5078371345535166, 2.5090077455699302, 2.5104856446879356, 2.512300078852975, 2.5144864740916946, 2.5170868541611999, 2.5201503088881463, 2.5237334998498762, 2.5279011846221948, 2.5327267319238027, 2.5382925879503033, 2.5446906382468089, 2.5520223888280524, 2.5603988642136004, 2.5699400882173342, 2.5807739759936665, 2.5930344245218624, 2.6068583469758613, 2.6223813609802997, 2.6397318226918287, 2.6590229146484377, 2.6803425682314188, 2.7037411593178793, 2.7292171871517152, 2.7567015525996275, 2.7860415910583605, 2.8169866431701944, 2.8491775569287601, 2.8821429307407223, 2.9153048990126047, 2.947996606879705, 2.9794921022498011, 3.0090472934147479, 3.0359482649002154, 3.0595612342220986, 3.0793774359219412, 3.0950466788321558, 3.1063952294209565, 3.1134265281806663, 3.1163062414244855, 3.115335496666531, 3.1109173574682676, 3.1035215965139389, 3.0936519071522897, 3.081818303088991, 3.068516021919919, 3.0542110635364561, 3.0393316882016621, 3.0242647695854834, 3.0093557685790855, 2.9949111631819649, 2.9812023455043999, 2.9684702096118296, 2.9569298597707867, 2.9467750450535704, 2.9381820654533608, 2.9313129977880483, 2.9263181623092276, 2.923337800213786, 2.9225029652008936, 2.9239356549363817, 2.9277482256763934, 2.9340421490053501, 2.9429061861057342, 2.9544140735315279, 2.9686218353823275, 2.9855648593593509, 3.0052548967945891, 3.0276771669513134, 3.0527877606854323, 3.0805115446583589, 3.1107407616008325, 3.143334502229393, 3.1781191891344176, 3.2148901627789286, 3.2534143971418827, 3.2934343019015615, 3.3346724954049156, 3.3768373649190595, 3.4196291747493777, 3.4627464446340834, 3.50589230439902, 3.5487805376318162, 3.5911410558655454, 3.6327245916911783, 3.6733064587895585, 3.7126892925332533, 3.7507047500608359, 3.7872142078531561, 3.8221085436199842, 3.8553071251941642, 3.8867561513478037, 3.9164264986640096, 3.9443112266005653, 3.9704228821006566, 3.9947907281959503, 4.0174580005848899, 4.0384792743822624, 4.0579180018915491, 4.0758442626273883, 4.0923327496969755, 4.1074610024341576, 4.1213078839329782, 4.1339522936975097, 4.1454720997133219, 4.1559432704715933, 4.1654391854529527, 4.1740301019072925, 4.181782756111275, 4.1887600783357364, 4.1950210022730836, 4.2006203514527538, 4.2056087870695835, 4.2100328035493835, 4.213934760003724, 4.2173529374322234, 4.2203216130893004, 4.2228711448230625, 4.2250280594261298, 4.2268151401076173, 4.2282515091213861, 4.2293527023800896, 4.2301307335627119, 4.230594145807677, 4.2307480495879508, 4.2306711362700211, 4.2304400092068892, 4.2300535067486393, 4.229509691751808, 4.2288058500305574, 4.2279384882724411, 4.2269033315029887, 4.2256953202104928, 4.2243086072678251, 4.2227365548172315, 4.2209717313129005, 4.2190059089477838, 4.2168300617243162, 4.2144343644628011, 4.2118081930790279, 4.2089401265006376, 4.2058179506327722, 4.2024286648246649, 4.1987584913340603, 4.1947928883289034, 4.1905165670107714, 4.1859135134895444, 4.1809670160820058, 4.1756596987450569, 4.169973561395433, 4.1638900278956479, 4.1573900025120976, 4.1504539356662251, 4.1430618998031656, 4.1351936761920332, 4.1268288534428619, 4.1179469384793901, 4.1085274806335876, 4.0985502094311874, 4.0879951865082536, 4.0768429719393708, 4.0650748050596244, 4.0526727996305363, 4.0396201529236215, 4.0259013679837139, 4.0115024879829519, 3.9964113411841562, 3.9806177946174768, 3.9641140141224152, 3.9468947279496129, 3.9289574906424267, 3.9103029434623271, 3.8909350671793379, 3.8708614226556732, 3.8500933743121104, 3.8286462913154979, 3.8065397211730945, 3.7837975303923965, 3.7604480069782045, 3.7365239198117219, 3.7120625303935753, 3.6871055530455465, 3.6616990604538668, 3.6358933323808049, 3.6097426464687414, 3.5833050112748599, 3.5566418429745914, 3.5298175885247773, 3.5028992994213564, 3.4759561614934507, 3.4490589873724753, 3.4222796793345367, 3.3956906710720962, 3.3693643575867958, 3.3433725227658653, 3.317785774303379, 3.2926729954404941, 3.2681008225400361, 3.2441331567931222, 3.2208307174123472, 3.198250642536892, 3.1764461428040676, 3.1554662111805634, 3.1353553912465801, 3.1161536047400684, 3.0978960378381704, 3.0806130844261652, 3.0643303435104596, 3.0490686669978762, 3.0348442533060469, 3.0216687816995766, 3.0095495818570961, 2.9984898329687764, 2.9884887866182144, 2.9795420078120745, 2.971641628749869, 2.9647766102703885, 2.9589330063297243, 2.9540942273495174, 2.9502412987972413, 2.947353111898809, 2.9454066639324932, 2.9443772860835122, 2.9442388573517912, 2.9449640034838653, 2.9465242803404297, 2.948890341509474, 2.9520320903261594, 2.9559188167676314, 2.9605193199482764, 2.9658020171562676, 2.9717350405417826, 2.9782863226954395, 2.9854236724464829, 2.9931148422630747, 3.0013275886577482, 3.0100297269885359, 3.0191891820082257, 3.028774035446117, 3.038752571818419, 3.0490933235497146, 3.0597651163585198, 3.0707371157113905, 3.0819788749881907, 3.0934603858288918, 3.1051521309506014, 3.1170251395392787, 3.129051045133791, 3.1412021457388919, 3.1534514657275357, 3.1657728189319001, 3.1781408721744824, 3.1905312083660893, 3.2276067622204141, 3.2641041351749052, 3.2995449143823086, 3.3335534140765817, 3.3658573191495371, 3.396281139055179, 3.4247330151531039, 3.4511865793531524, 3.4756603811796212, 3.4981977334181322, 3.5188496536622975, 3.5376629839266713, 3.5546748898459977, 3.5699139219902696, 3.5834068024540238, 3.5951892094331721, 3.605318195887365, 3.613883606815532, 3.6210160224611023, 3.6268893434609328, 3.6317170416367253, 3.6357421360517361, 3.6392218959631446, 3.6424089374721236, 3.6455306823441664, 3.6487691134464373, 3.65224250818504, 3.6559905107850836, 3.6599636446339767, 3.6640182298600537, 3.6679176372702447, 3.6713407773419497, 3.6738985396736252, 3.6751584062270601, 3.6746765619900947, 3.6720355508968918, 3.6668840867266992, 3.6589744172571383, 3.6481921224344029, 3.6345737703147716, 3.6183095307755591, 3.5997303347329934, 3.5792818229908248, 3.5574894263636954, 3.5349199308520087, 3.5121446692672871, 3.4897082934456236, 3.4681053995808089, 3.4477656021804961, 3.4290463358994021, 3.4122318628265202, 3.3975366559113982, 3.3851113959003878, 3.3750501088242828, 3.3673973521753044, 3.3621547388484818, 3.3592864179275423, 3.3587233911020329, 3.360366733059339, 3.3640899131046398, 3.3697404953697236, 3.3771415366262558, 3.3860930112498937, 3.3963735766423806, 3.4077429518136286, 3.4199451186312899, 3.432712472077486, 3.4457709472093079, 3.4588460433736565, 3.4716695597646932, 3.4839867611171624, 3.4955636184033385, 3.5061937249766961, 3.5157044781700137, 3.5239621398399033, 3.5308754421286106, 3.5363974785597558, 3.5405257052620187, 3.5432999621688928, 3.5447985002881683, 3.5451320614960018, 3.5444360969336528, 3.5428612259625609, 3.540562028238913, 3.5376842271772588, 3.5343502685635224, 3.530643238719219, 3.5265890427034399, 3.5221368689524835, 3.5171384072127694, 3.5113274760910649, 3.5043044284172153, 3.4955352067418937, 3.4843848002141233, 3.4702195261435063, 3.4526263939393198, 3.4317888571564645, 3.4089798370465321, 3.3869442174192814, 3.3697333126560549, 3.3616570998469388, 3.3656934165914985, 3.3823927051312213, 3.4100382002821097, 3.4457461144012584, 3.4866118008832752, 3.5303493829654751, 3.5754254101941911, 3.6209205652659056, 3.6663172932565637, 3.7113095781853604, 3.7556618302767788, 3.7991148310175258, 3.8413304981181757, 3.8818695623965764, 3.9201995812022252, 3.9557317450951377, 3.9878825655829901, 4.0161512921179323, 4.0401979483706754, 4.0599034636288893, 4.0753953560208451, 4.0870303236488965, 4.0953362932812274, 4.1009264751544805, 4.1044030818055743, 4.1062677098067217, 4.106850863513646, 4.1064642136088167, 4.1052521539771742, 4.1030626860585588, 4.0996568434817959, 4.094729861079335, 4.0879396614973462, 4.0789407633268544, 4.0674205213264401, 4.0531335405274103, 4.0359296214240699, 4.015771073214899, 3.9927367710195329, 3.9670126313532235, 3.938870619126754, 3.9086402871089692, 3.8766777089782689, 3.8433364139379345, 3.8089438482890285, 3.7737854572930156, 3.7380971638967728, 3.7020661239470143, 3.6658392611898751, 3.6295391567619175, 3.5932871893752063, 3.5572340935941416, 3.5215979001052524, 3.4867079552613469, 3.4530506663766278, 3.4213072219061047, 3.3923662030664938, 3.3672875342835495, 3.3471949906564737, 3.333090931099751, 3.3256223682776196, 3.324869304471787, 3.3302442050758945, 3.3405588942013384, 3.3542412003278979, 3.3696163484099091, 3.38515263550399, 3.3996086621486654, 3.4120743362408374, 3.4219352612601828, 3.4288000048279845, 3.4324214343410282, 3.432629770057019, 3.4292840172237624, 3.4222420933728657, 3.4113473853179328, 3.3964290627476172, 3.3773139503551581, 3.3538483130510635, 3.3259281030129597, 3.2935358463299118, 3.256781363788452, 3.2159420435775967, 3.1714967432947341, 3.1241461613801631, 3.0748124185497638, 3.0246123095912547, 2.9748024992586433, 2.9267003641221838, 2.8815898971721259, 2.8406262652519971, 2.8047536570283813, 2.7746484234366138, 2.7506940004378175, 2.7329875381069106, 2.7213725418520789, 2.7154885172085264, 2.7148279286015753, 2.7187921863473292, 2.7267408959686823, 2.7380313083496088, 2.7520471722677509, 2.7682177437878046, 2.7860285540347132, 2.8050258288693528, 2.8248163831022244, 2.845064548476667, 2.8654873623146044, 2.8858489183189091, 2.9059545008360672, 2.9256449020474453, 2.9447911568049787, 2.9632898140515205, 2.9810587867203218, 2.998033773839011, 3.0141652209043466, 3.0294157708840075, 3.0437581535528544, 3.0571734617894162, 3.0696497675411578, 3.0811810357870644, 3.0917663009217509, 3.1014090758464756, 3.1101169692072004, 3.1179014903027218, 3.1247780239025151, 3.1307659582540879, 3.1358889486135975, 3.1401752953682722, 3.143658409925068, 3.1463773328064022, 3.1483772568220667, 3.1497099941730293, 3.1504343108947062, 3.1506160370191871, 3.150327849139027, 3.1496486177006471, 3.1486622192477078, 3.1474557391058084, 3.1461170368195526, 3.1447317165268895, 3.1433796342905453, 3.1421311749471257, 3.1410436264846444, 3.1401580496254775, 3.1394970625996392, 3.1390639194487617, 3.1388431490662256, 3.1388028510632924, 3.1388985378595771, 3.1390782045179551, 3.1392881347545183, 3.139478842000333, 3.1396105137572614, 3.1396573763120648], [4.3963962198873761, 4.396303040242354, 4.3959200630443753, 4.3949461610747811, 4.3929101474883714, 4.3892165250496058, 4.3832073218047718, 4.3742348294853892, 4.3617363048903268, 4.3452989650638845, 4.3247036406184645, 4.2999390762543319, 4.2711853044779797, 4.2387716009918632, 4.2031198376597985, 4.1646862340213184, 4.1239139698521416, 4.0812077703899146, 4.0369421611791942, 3.9915207237415844, 3.9455175968163312, 3.8999562138407757, 3.8568036407986019, 3.8197231759154162, 3.7948401593010481, 3.7903950340723633, 3.8130164655204202, 3.8602262538271646, 3.9166764041191398, 3.9627764153715073, 3.9872367303203617, 3.9894737509432341, 3.974206555090023, 3.9467025053034615, 3.9110296752833245, 3.8700196402488238, 3.8257115050130701, 3.7797703219789582, 3.733756351258509, 3.6892472497358892, 3.6478445984643444, 3.6111013582792229, 3.5804075534894273, 3.5568692978974346, 3.5412098285932001, 3.5337110209018592, 3.5342024222375006, 3.5420949967881121, 3.5564502307500963, 3.5760722150609858, 3.5996100061169822, 3.6256589255260261, 3.6528516954308232, 3.6799329461002745, 3.7058134043348723, 3.7296027444363076, 3.75062241076049, 3.7684014735638298, 3.7826596177766598, 3.7932816797919022, 3.8002878582547321, 3.803803027380944, 3.8040276894064835, 3.8012121986589733, 3.7956350980499769, 3.7875857929304866, 3.7773513607862497, 3.765207039118057, 3.7514098128901452, 3.7361944982486239, 3.7197717557453132, 3.7023275362193271, 3.6840235458707147, 3.6649984010112933, 3.6453692200959109, 3.6252334674549664, 3.6046709187722277, 3.5837456634042457, 3.5625080945692424, 3.5409968670066032, 3.5192408247572544, 3.4972609209861591, 3.4750721688603305, 3.4526856788620179, 3.4301108548610002, 3.4073578399633062, 3.3844403246112877, 3.3613788544044541, 3.3382048040238064, 3.3149652161049592, 3.2917287382569378, 3.2685929237264388, 3.2456931837879699, 3.2232136791101214, 3.201400390261159, 3.1805764780797627, 3.1611597790737527, 3.1436818047571031, 3.1288068338594313, 3.1173485066184634, 3.1102796934747965, 3.1087293819948734, 3.1139582337070628, 3.1273030763846394, 3.1500812630020776, 3.1834503581337392, 3.228228628418472, 3.2846973423572354, 3.3524235463237648, 3.4301541412244969, 3.515828990114795, 3.6067365097992798, 3.699794341521323, 3.7918966031260011, 3.8802477922976424, 3.9626121019972342, 4.0374397184826352, 4.1038711231949918, 4.1616496003620576, 4.2109835669605271, 4.2523964527437368, 4.2865900046822611, 4.3143339869793769, 4.3363852575584607, 4.3534332067881651, 4.3660659341235588, 4.3747511491617912, 4.3798265575470063, 4.3814957092724081, 4.3812662515202074, 4.3805763604497532, 4.3794214808367791, 4.3777940149186696, 4.375683314583199, 4.3730756719946831, 4.3699543102625862, 4.3662993762732567, 4.3620879383663809, 4.3572939921474934, 4.3518884783876635, 4.3458393176871661, 4.3391114673482329, 4.3316670067335625, 4.3234652582421322, 4.3144629519154618, 4.3046144425479271, 4.2938719889799692, 4.2821861059466162, 4.2695059993522761, 4.2557800960711472, 4.2409566792026769, 4.2249846390287367, 4.207814348573188, 4.189398670498262, 4.1696940989442535, 4.1486620356647084, 4.1262701943418358, 4.1024941202091982, 4.0773188040949817, 4.0507403608672252, 4.0227677322842483, 3.9934243638888485, 3.9627497954592479, 3.9308010954612915, 3.8976540629047123, 3.8634041160679948, 3.8281667877818975, 3.7920777523358686, 3.7552923202659301, 3.7179843546048352, 3.6803445853311034, 3.6425783268390215, 3.6049026346576252, 3.5675429701948702, 3.5307294733285852, 3.494692969432263, 3.4596608572574108, 3.4258530348654621, 3.3934780211527151, 3.3627294201075904, 3.3337828544876147, 3.3067934668292125, 3.2818940510729977, 3.2591938405340355, 3.2387779404651011, 3.2207073587933395, 3.2050195589231167, 3.1917294352465055, 3.1808305958399874, 3.1722968276790717, 3.1660836169210285, 3.162129599345155, 3.1603578227248148, 3.1606767126407163, 3.1629806452376714, 3.1671500443971019, 3.173050937111344, 3.1805339207044385, 3.1894325210446177, 3.1995609551254347, 3.2107113583346854, 3.2226506010076337, 3.2351169050729318, 3.2478165831096524, 3.2604213590295674, 3.2725668856875116, 3.2838532336350861, 3.2938482563035536, 3.3020947922954709, 3.3081225813611366, 3.311465476058236, 3.3116839678645476, 3.3083922009215776, 3.3012875866940088, 3.2901800361803, 3.2750169750761011, 3.2559000304561505, 3.2330898390867184, 3.2069968938553854, 3.178158495828729, 3.1472042272679444, 3.1148142964359748, 3.0816761186098827, 3.0484443696119818, 3.0157086139418747, 2.9839708759664152, 2.9536336896931541, 2.924997646526331, 2.898266489642495, 2.873557409406406, 2.8509142670885366, 2.8303218428054691, 2.8117197006924215, 2.7950147634205016, 2.7800921140886219, 2.7668238652798691, 2.7550761520365397, 2.7447144334880118, 2.7356073486605612, 2.72762938693019, 2.7206626203835995, 2.7145977172430333, 2.709334421486103, 2.7047816494610006, 2.7008573227740613, 2.6974880294556907, 2.6946085827862891, 2.6921615289832141, 2.6900966407180134, 2.6883704225377909, 2.6869456461009178, 2.6857909271460163, 2.6848803518199928, 2.6841931569955224, 2.6837134671940621, 2.6834300894403773, 2.683336366610912, 2.6834300894403555, 2.6837134671940341, 2.684193156995542, 2.6848803518199804, 2.6857909271460132, 2.6869456461008934, 2.6883704225377945, 2.6900966407180236, 2.6921615289832239, 2.6946085827862953, 2.6974880294556995, 2.7008573227740413, 2.70478164946097, 2.7093344214861017, 2.7145977172430413, 2.7206626203836026, 2.727629386930158, 2.7356073486605448, 2.7447144334880051, 2.7550761520365308, 2.7668238652798514, 2.7800921140886081, 2.7950147634204976, 2.811719700692433, 2.8303218428054766, 2.8509142670885215, 2.8735574094064367, 2.8982664896424981, 2.924997646526283, 2.9536336896931497, 2.9839708759664272, 3.0157086139418765, 3.0484443696119548, 3.0816761186098756, 3.114814296435946, 3.1472042272679688, 3.1781584958287299, 3.206996893855373, 3.2330898390867397, 3.2559000304561665, 3.2750169750760767, 3.2901800361802866, 3.3012875866940092, 3.3083922009215625, 3.3116839678645302, 3.3114654760582156, 3.3081225813611512, 3.302094792295466, 3.2938482563035452, 3.2838532336350914, 3.2725668856875272, 3.2604213590295519, 3.2478165831096359, 3.2351169050729522, 3.2226506010076155, 3.2107113583346694, 3.1995609551254307, 3.1894325210446173, 3.1805339207044261, 3.1730509371113356, 3.1671500443970819, 3.162980645237679, 3.1606767126407114, 3.1603578227248419, 3.162129599345147, 3.1660836169210462, 3.1722968276790735, 3.1808305958399918, 3.1917294352465144, 3.2050195589231016, 3.2207073587933408, 3.2387779404650763, 3.259193840534012, 3.2818940510729857, 3.3067934668292285, 3.3337828544876595, 3.3627294201076463, 3.3934780211527231, 3.4258530348654603, 3.4596608572574326, 3.494692969432291, 3.5307294733286487, 3.5675429701949715, 3.6049026346576922, 3.6425783268390499, 3.680344585331083, 3.7179843546048588, 3.75529232026597, 3.7920777523359401, 3.8281667877819472, 3.8634041160680175, 3.8976540629047713, 3.9308010954613213, 3.962749795459362, 3.9934243638888263, 4.0227677322842892, 4.0507403608673069, 4.0773188040950048, 4.1024941202092382, 4.1262701943419087, 4.1486620356647457, 4.1696940989442703, 4.1893986704982913, 4.2078143485732022, 4.2249846390287757, 4.2409566792026618, 4.2557800960711285, 4.2695059993522708, 4.2821861059465842, 4.2938719889799755, 4.3046144425478667, 4.3144629519154938, 4.3234652582421003, 4.3316670067335181, 4.3391114673482418, 4.3458393176871715, 4.3518884783876537, 4.3572939921474623, 4.3620879383664004, 4.3662993762732469, 4.3699543102626199, 4.3730756719946733, 4.3756833145832177, 4.377794014918706, 4.3794214808367737, 4.3805763604497621, 4.3812662515202154, 4.3814957092724525, 4.3813810162955455, 4.3810366094091266, 4.3804615050430167, 4.3796540649156572, 4.3786119975760336, 4.3773323606408656, 4.3758115638046959, 4.3740453727248712, 4.3720289139048152, 4.3697566807234578, 4.367222540781019, 4.3644197447556579, 4.3613409369891754, 4.3579781680428358, 4.3543229094887188, 4.3503660712244123, 4.3460980216214304, 4.3415086108379013, 4.3365871976478614, 4.3313226801549849, 4.3257035307736738, 4.319717835873421, 4.3133533404896642, 4.3065974985036428, 4.2994375286957105, 4.291860477061153, 4.2838532857609435, 4.2754028690515904, 4.2664961964991841, 4.2571203837326141, 4.2472627909258103, 4.2369111291232091, 4.2260535744277092, 4.2146788899626664, 4.2027765553926368, 4.1903369036469282, 4.1773512643291077, 4.1638121131240045, 4.1497132263215599, 4.135049839377948, 4.1198188082244052, 4.1040187718138998, 4.0876503141838327, 4.0707161240932361, 4.0532211500952098, 4.0351727487136255, 4.0165808232376721, 3.9974579505142631, 3.9778194930351503, 3.9576836935742086, 3.9370717496521204, 3.9160078651863097, 3.8945192768366108, 3.8726362527810516, 3.8503920619577134, 3.8278229121802276, 3.8049678559789193, 3.7818686635307137, 3.7585696626004106, 3.7351175460239743, 3.7115611478972004, 3.6879511902739504, 3.6643400028165343, 3.6407812184407859, 3.6173294485604823, 3.5940399420192004, 3.5709682322050664, 3.5481697771420175, 3.5256995975440324, 3.5036119178858787, 3.4819598154911073, 3.4607948824595036, 3.4401669049637476, 3.4201235640435024, 3.4007101615307325, 3.3819693741707555, 3.3639410383764075, 3.3466619673890072, 3.3301658019412783, 3.3144828948456686, 3.2996402292821845, 3.2856613699549717, 3.2725664457385122, 3.2603721619541215, 3.2490918400141844, 3.2387354818541403, 3.2293098563338298, 3.2208186046418903, 3.2132623616627942, 3.2066388902747396, 3.2009432256139365, 3.1961678264774966, 3.1923027312154719, 3.1893357156863531, 3.1872524511060432, 3.1860366598926664, 3.1856702679033164, 3.1861335517500411, 3.1874052801782127, 3.1894628487757686, 3.192282407554166, 3.1958389811989454, 3.2001065820210823, 3.2050583158535617, 3.210666481320807, 3.2169026630681143, 3.223737819666658, 3.2311423670084327, 3.2390862580759445, 3.2475390600103013, 3.25647002941131, 3.2658481867820646, 3.2756423909840091, 3.2858214144907718, 3.2963540201298405, 3.3072090398744223, 3.3183554561041158, 3.3297624855889958, 3.3413996662748833, 3.3532369467617253, 3.3652447781748784, 3.3773942079393469, 3.3896569747811127, 3.4020056041078179, 3.4144135027635234, 3.4268550520208865, 3.4393056975667129, 3.4517420351649766, 3.4887500382159682, 3.5249123917703917, 3.5598215464197223, 3.5931921889997538, 3.6248564653682296, 3.6547500238640955, 3.6828905763853426, 3.7093517615711562, 3.7342356375730414, 3.7576471020029589, 3.7796730412855108, 3.8003682189184871, 3.8197489785589145, 3.837794870449688, 3.8544573703331255, 3.8696739974762386, 3.8833854233931095, 3.8955527007392603, 3.9061716514590641, 3.9152818167283669, 3.9229681798982079, 3.9293550018797667, 3.9345923367029254, 3.9388368780418577, 3.9422295367298661, 3.9448724898541974, 3.9468084186294763, 3.948004385022168, 3.9483424122526247, 3.9476184017808689, 3.9455505223655174, 3.9417975542867794, 3.9359867526572123, 3.9277495583383857, 3.9167620284366724, 3.9027854644120605, 3.8857018190119952, 3.8655385096060026, 3.8424785072304544, 3.8168538894699657, 3.7891239178361529, 3.7598413589186865, 3.7296124969186879, 3.6990566974770687, 3.6687705422890016, 3.6392998866880841, 3.6111212687757179, 3.5846324122617688, 3.560150402447142, 3.5379155399550162, 3.5180987953006384, 3.5008110330862086, 3.486112581085111, 3.4740221592339342, 3.4645245787496433, 3.4575769372941849, 3.4531132667880637, 3.4510477466762413, 3.4512766938082602, 3.4536795971324281, 3.4581194943805276, 3.4644429978432543, 3.4724802721485402, 3.4820452503544463, 3.4929363452977729, 3.5049378697524771, 3.5178223206675687, 3.5313536100189067, 3.5452912401762888, 3.5593953300299388, 3.5734323064208824, 3.5871809919450084, 3.6004387532996684, 3.6130273310657248, 3.6247979566849717, 3.6356353765659319, 3.6454604443586849, 3.6542310050038767, 3.6619408705108452, 3.6686167688258626, 3.6743132249565784, 3.6791054001689378, 3.6830799652188029, 3.6863241157127762, 3.6889128571938032, 3.6908947126624421, 3.6922760784383843, 3.6930046629690461, 3.6929529552885567, 3.6919037876537888, 3.6895422787782848, 3.6854624681895785, 3.6792034061065699, 3.6703378242662756, 3.6586423110058255, 3.6443679148831016, 3.6285800037134384, 3.6134276249106878, 3.6020803958263219, 3.5980988650688013, 3.6043444161393703, 3.622002603804737, 3.6503424464288647, 3.6872856056980168, 3.7302992543648679, 3.7770930352163612, 3.8259304335106679, 3.8756389002690748, 3.9254754206778601, 3.974960514155665, 4.0237337825144426, 4.0714466797942626, 4.1176929584617366, 4.1619742692841282, 4.2036995364924383, 4.2422172671562057, 4.2768776381727864, 4.3071157708679122, 4.3325407694561369, 4.3530102002286526, 4.3686702174571561, 4.3799489272778924, 4.3875027126844959, 4.3921272579553534, 4.3946521128861251, 4.3958378705029002, 4.3962899616654099, 4.3963962198873761, 4.3963278436376756, 4.3960627715327565, 4.395424579748517, 4.3941307696507188, 4.3918105912443677, 4.3880305376355393, 4.3823270461206336, 4.3742446889611353, 4.3633765973339145, 4.349402502883815, 4.3321191673728432, 4.3114585389244438, 4.2874907958797337, 4.2604121169018612, 4.2305197944837749, 4.1981793864339121, 4.1637894606646135, 4.1277490825314542, 4.0904318836585976, 4.0521688939864848, 4.0132408246873252, 3.9738794674355975, 3.934277397538172, 3.8946051147295546, 3.8550348780646937, 3.8157704570468134, 3.7770814292644141, 3.7393390715127102, 3.7030479875460856, 3.6688635243252619, 3.6375809664423628, 3.6100813751407572, 3.5872250576778981, 3.5697002009563539, 3.5578584564596492, 3.5515892027676603, 3.5502831689940022, 3.5529067161842529, 3.5581635663177873, 3.5646879596018333, 3.5712105619497025, 3.5766619322901203, 3.5802089750228672, 3.5812409417709468, 3.5793283221544856, 3.5741745487952401, 3.5655732337789883, 3.5533770050771798, 3.5374795423775045, 3.5178100243480475, 3.4943381738091062, 3.4670877064195942, 3.4361557561828855, 3.4017355112872174, 3.3641387924502073, 3.3238147531804945, 3.2813605160924531, 3.2375196946867022, 3.1931656787553249, 3.1492684241726603, 3.1068461404830847, 3.0669062251503094, 3.0303823032199615, 2.9980755227617362, 2.9706078425215967, 2.9483929585635593, 2.9316273174931635, 2.9203002410228969, 2.914219403744053, 2.9130463101187911, 2.9163361186375534, 2.9235769045858735, 2.9342247947261306, 2.9477329027576848, 2.9635733178174197, 2.9812523805126374, 3.0003200874780687, 3.0203747471789892, 3.0410640546000498, 3.0620836508502371, 3.0831740597015709, 3.1041166986989301, 3.1247294792318794, 3.1448623535239388, 3.1643930419564352, 3.1832230803775814, 3.2012742598824002, 3.2184854857993224, 3.2348100532076227, 3.2502133188322402, 3.2646707400506578, 3.2781662482470835, 3.2906909238285085, 3.3022419423877358, 3.3128217647098355, 3.3224375468044203, 3.3311007493512697, 3.3388269284164167, 3.3456356906553966, 3.3515507960951636, 3.3566003896273675, 3.3608173382088484, 3.3642396441678559, 3.3669108958158165, 3.3688807048847389, 3.3702050667127548, 3.3709465647933428, 3.3711743283460156, 3.3709636430166796, 3.3703951146871218, 3.3695532993144663, 3.368524742243177, 3.3673954216598929, 3.3662476628885467, 3.3651566784186651, 3.3641869824410429, 3.3633890120992955, 3.3627963410459678, 3.362423875374116, 3.3622673650207271, 3.3623044441312349, 3.3624972444453376, 3.3627964318567112, 3.3631463302448834, 3.3634906497822743, 3.363778251951397, 3.3639683702772185, 3.3640347611180501], [4.5724121009685303, 4.572607260075527, 4.5730941982155979, 4.5735835654140606, 4.5736144697026822, 4.5725877132847419, 4.5698132980104145, 4.5645703498007739, 4.5561743088536764, 4.5440428578245289, 4.5277501456687803, 4.5070597119530884, 4.4819304203821337, 4.4524956221472349, 4.4190217431220624, 4.3818567123497187, 4.3413804238887348, 4.2979695351894076, 4.2519893535400914, 4.2038290488903742, 4.1540058413300303, 4.1033808456102587, 4.0535483734237152, 4.0074476678569173, 3.9700871143697776, 3.948732459938717, 3.9509706178192374, 3.9792638073278748, 4.0251362366499084, 4.0712287244472192, 4.1018862766507791, 4.1106986864719435, 4.0991751449021505, 4.0720062461257003, 4.0339421129526736, 3.988791649783364, 3.9394663375947068, 3.8882910304517804, 3.8372713418149438, 3.7882438167432171, 3.7429188240268632, 3.7028488324507136, 3.6693575722034235, 3.6434614073058689, 3.6258065049294599, 3.6166358893721982, 3.6157911833805367, 3.6227464932781976, 3.6366673378215628, 3.6564856281466085, 3.6809817510895977, 3.7088659537383224, 3.7388528439033548, 3.7697245611741237, 3.8003798852836055, 3.8298681585966547, 3.8574083338484013, 3.8823946279119008, 3.9043910875889147, 3.9231178148315262, 3.9384316734114364, 3.9503040747406573, 3.9587980154715035, 3.9640460172309275, 3.9662300882519528, 3.965564350890693, 3.9622805933087921, 3.9566167193863477, 3.948807882769124, 3.9390799837631616, 3.9276451627575195, 3.9146989224706497, 3.9004185376489882, 3.8849624524582369, 3.8684704137602193, 3.8510641368770941, 3.832848345843026, 3.8139120708162926, 3.7943301207889459, 3.7741646802565718, 3.75346700483591, 3.7322792139188605, 3.710636199397598, 3.6885676893738713, 3.6661005256031185, 3.6432612341396222, 3.6200789909665003, 3.596589108693125, 3.5728371965027175, 3.5488841722649496, 3.5248123303377006, 3.5007326857174501, 3.4767938155377505, 3.4531923871904469, 3.4301854749429768, 3.408104589330188, 3.3873710287482983, 3.3685116524104299, 3.3521734076397296, 3.3391338821480758, 3.3303038184998237, 3.3267160875140753, 3.3294944703876297, 3.3397954675452723, 3.3587182633224426, 3.3871830062037316, 3.425786210803476, 3.4746533207851806, 3.5333189514285595, 3.6006697054936194, 3.6749775570676544, 3.7540322787595999, 3.8353544536791087, 3.9164468826319792, 3.9950321732767371, 4.0692320017045613, 4.1376642515316355, 4.1994580216808997, 4.2542043012889659, 4.3018678852440226, 4.3426849409319335, 4.3770643230238679, 4.4055031076956466, 4.4285203537639752, 4.4466087477665797, 4.460201476520302, 4.4696508661953018, 4.4752154472097425, 4.4770526926974021, 4.4767966837890514, 4.4760274428711897, 4.4747413285230362, 4.4729322757505976, 4.4705918026813567, 4.467709021213075, 4.4642706529144141, 4.4602610518718908, 4.4556622365961829, 4.4504539335402988, 4.444613635236955, 4.4381166765469375, 4.430936332994027, 4.4230439456669002, 4.4144090776510945, 4.404999707422764, 4.3947824650477481, 4.3837229173623378, 4.3717859085275732, 4.3589359623887658, 4.3451377528973483, 4.3303566483796088, 4.3145593346091147, 4.2977145203750098, 4.2797937274560738, 4.2607721645546208, 4.2406296817336679, 4.2193517982261159, 4.1969307921266994, 4.1733668354933027, 4.1486691528861259, 4.1228571755376917, 4.0959616574541302, 4.0680257141499867, 4.0391057398599939, 4.0092721554622557, 3.9786099375458264, 3.9472188795930498, 3.9152135396304786, 3.8827228352629435, 3.8498892569219065, 3.8168676833034607, 3.7838237989363352, 3.7509321318372524, 3.7183737482291614, 3.686333659983998, 3.6549980173644192, 3.6245511733055644, 3.5951727146082351, 3.5670345590119394, 3.5402982146462119, 3.5151122897835947, 3.4916103266636553, 3.4699090144110616, 3.4501068141110554, 3.4322830055114681, 3.4164971412337035, 3.4027888722944759, 3.3911780894294421, 3.3816653090758506, 3.3742322214624951, 3.3688423112885548, 3.3654414589010884, 3.3639584315368811, 3.3643051799164629, 3.3663768652658965, 3.3700515560204005, 3.3751895527744296, 3.3816323257727876, 3.3892010831788011, 3.3976950327418258, 3.4068894566451635, 3.4165337911158309, 3.426349989221833, 3.4360315446639578, 3.4452436589289785, 3.4536251294895015, 3.4607925993969793, 3.4663478056339629, 3.4698883547429751, 3.4710222992142086, 3.4693863596928392, 3.4646670407962619, 3.4566231782553594, 3.44510775180692, 3.4300862776758962, 3.4116489529604657, 3.3900141154062102, 3.3655215442608371, 3.3386155347837758, 3.309819246212566, 3.2797031830106844, 3.2488514912550706, 3.2178298560697529, 3.1871581987763618, 3.1572903019924929, 3.1286012383697668, 3.1013823321771308, 3.0758425391287054, 3.0521146649156994, 3.0302647290880973, 3.0103029276399402, 2.992194944990096, 2.9758727164757324, 2.9612440764188119, 2.9482010050140959, 2.9366263952278477, 2.9263994006588603, 2.9173995077681809, 2.9095095149732679, 2.9026176102830692, 2.8966187296696564, 2.8914153587226115, 2.8869179162167891, 2.883044833823865, 2.8797224234950751, 2.8768846041194669, 2.8744725422854938, 2.8724342482834251, 2.8707241575996263, 2.8693027196823127, 2.8681360093033317, 2.8671953710165101, 2.8664571036877851, 2.8659021895547516, 2.8655160705313909, 2.86528847331184, 2.8652132840940707, 2.8652884733118156, 2.8655160705313625, 2.8659021895547703, 2.8664571036877691, 2.8671953710165052, 2.8681360093033041, 2.8693027196823189, 2.8707241575996392, 2.8724342482834357, 2.8744725422854986, 2.8768846041194776, 2.8797224234950543, 2.8830448338238326, 2.8869179162167868, 2.8914153587226212, 2.8966187296696613, 2.9026176102830412, 2.9095095149732488, 2.9173995077681769, 2.9263994006588527, 2.9366263952278313, 2.9482010050140866, 2.961244076418807, 2.9758727164757444, 2.9921949449901044, 3.0103029276399238, 3.0302647290881284, 3.052114664915702, 3.0758425391286575, 3.1013823321771299, 3.1286012383697761, 3.1572903019924978, 3.1871581987763355, 3.2178298560697449, 3.2488514912550399, 3.2797031830107093, 3.3098192462125651, 3.3386155347837634, 3.3655215442608561, 3.3900141154062258, 3.411648952960439, 3.4300862776758807, 3.4451077518069204, 3.4566231782553452, 3.4646670407962463, 3.4693863596928161, 3.4710222992142241, 3.4698883547429684, 3.4663478056339541, 3.4607925993969779, 3.4536251294895166, 3.4452436589289599, 3.4360315446639436, 3.426349989221849, 3.4165337911158127, 3.4068894566451462, 3.3976950327418232, 3.389201083178802, 3.3816323257727752, 3.3751895527744198, 3.3700515560203788, 3.3663768652659036, 3.3643051799164549, 3.3639584315369082, 3.365441458901079, 3.3688423112885744, 3.3742322214624938, 3.3816653090758542, 3.3911780894294465, 3.4027888722944639, 3.4164971412337004, 3.4322830055114424, 3.4501068141110327, 3.4699090144110558, 3.4916103266636762, 3.5151122897836338, 3.540298214646258, 3.5670345590119457, 3.5951727146082306, 3.6245511733055826, 3.6549980173644476, 3.6863336599840522, 3.7183737482292472, 3.7509321318373101, 3.7838237989363614, 3.8168676833034434, 3.8498892569219287, 3.8827228352629795, 3.9152135396305399, 3.9472188795930969, 3.9786099375458517, 4.0092721554623107, 4.0391057398600179, 4.0680257141500906, 4.0959616574541098, 4.1228571755377326, 4.1486691528862014, 4.1733668354933258, 4.1969307921267376, 4.2193517982261843, 4.2406296817337044, 4.2607721645546413, 4.2797937274561031, 4.2977145203750231, 4.3145593346091538, 4.3303566483795901, 4.3451377528973314, 4.3589359623887578, 4.3717859085275439, 4.3837229173623458, 4.3947824650476841, 4.4049997074228004, 4.4144090776510616, 4.423043945666854, 4.4309363329940386, 4.4381166765469464, 4.4446136352369514, 4.4504539335402651, 4.4556622365962042, 4.4602610518718784, 4.4642706529144522, 4.4677090212130635, 4.4705918026813807, 4.4729322757506385, 4.47474132852303, 4.4760274428712004, 4.4767966837890674, 4.4770526926974528, 4.4769247181664014, 4.4765405465479242, 4.4758994342805742, 4.4750001438197415, 4.4738409462516024, 4.4724196250082118, 4.470733480737791, 4.4687793374017568, 4.4665535496837601, 4.464052011812595, 4.461270167914722, 4.45820302402762, 4.4548451619192946, 4.4511907548721936, 4.4472335856034695, 4.4429670665048073, 4.4383842623960525, 4.4334779159949269, 4.4282404763148095, 4.4226641302054901, 4.4167408372547499, 4.4104623682697248, 4.4038203475531477, 4.3968062991785164, 4.3894116974619957, 4.381628021806411, 4.3734468160724846, 4.3648597526031621, 4.3558587009911118, 4.3464358016371785, 4.336583544095431, 4.3262948501443867, 4.3155631614551142, 4.3043825316530926, 4.2927477224859425, 4.2806543037191389, 4.2680987562807191, 4.2550785780730163, 4.2415923917549927, 4.2276400536855192, 4.2132227631011077, 4.1983431704803875, 4.1830054839383326, 4.1672155723784163, 4.1509810640358396, 4.134311438952186, 4.1172181138557464, 4.0997145178658689, 4.081816157416343, 4.0635406687904387, 4.0449078566948833, 4.0259397173642606, 4.0066604447907332, 3.9870964188132874, 3.9672761739813467, 3.9472303483216735, 3.926991611389699, 3.9065945712729624, 3.8860756605231868, 3.8654730013295331, 3.8448262505940316, 3.8241764259234974, 3.8035657139085779, 3.7830372623966029, 3.7626349587888996, 3.7424031966765003, 3.7223866333800046, 3.702629941155247, 3.6831775549738692, 3.6640734198705447, 3.6453607408709412, 3.6270817384700416, 3.6092774125244973, 3.5919873172541377, 3.5752493498235332, 3.5590995547022253, 3.5435719456881181, 3.5286983471323219, 3.5145082555364282, 3.5010287223156347, 3.4882842581409994, 3.4762967589048639, 3.4650854530028825, 3.4546668693016507, 3.4450548248696551, 3.4362604313009162, 3.428292118249809, 3.4211556726368286, 3.4148542918667455, 3.4093886493357082, 3.4047569704749665, 3.4009551176011934, 3.3979766818957824, 3.3958130809259641, 3.3944536602410285, 3.3938857977153174, 3.3940950094750386, 3.3950650564154321, 3.3967780504990954, 3.3992145602096602, 3.4023537147169263, 3.4061733064863513, 3.4106498922296389, 3.4157588922460937, 3.4214746883358127, 3.4277707205808681, 3.4346195833804329, 3.4419931211910364, 3.4498625244639536, 3.4581984262837366, 3.466971000197995, 3.476150059685196, 3.4857051596412378, 3.4956057001704242, 3.5058210328531385, 3.5163205695252424, 3.5270738934547761, 3.5380508726378723, 3.5492217747657775, 3.5605573832443516, 3.5720291134793056, 3.5836091284843277, 3.5952704527270214, 3.6069870830094048, 3.6187340950853502, 3.6304877446575357, 3.642225561368214, 3.6539264344101432, 3.6886181930067146, 3.7223616577074039, 3.7548387456824712, 3.7858602726454356, 3.8153549390642012, 3.8433493539951629, 3.8699416224412526, 3.8952717144090432, 3.9194919478023551, 3.942740548596515, 3.9651205831812364, 3.9866857731164074, 4.007433925730771, 4.0273079915272607, 4.0462040823958265, 4.0639851330706627, 4.0804982750027552, 4.0955934870737876, 4.109140810585262, 4.121043493484132, 4.1312449356404546, 4.1397282160517852, 4.1465081522156861, 4.1516170508066184, 4.1550863280439962, 4.1569268416078451, 4.1571110188195259, 4.1555597149834345, 4.1521362642365958, 4.1466494595234158, 4.1388662498579416, 4.1285337803871966, 4.1154090589590053, 4.0992931356643156, 4.0800654777024778, 4.0577135553504089, 4.0323528571702596, 4.0042337832722579, 3.9737339799709761, 3.9413372117174679, 3.907602165841761, 3.8731260565095527, 3.838508220506049, 3.8043181386758875, 3.7710708379956315, 3.7392109212196414, 3.7091049642161584, 3.6810409719258566, 3.6552330567420244, 3.6318294208687165, 3.6109219423758359, 3.5925560342991631, 3.5767398504156898, 3.5634522770520767, 3.552649443237736, 3.5442696950074661, 3.5382371226984253, 3.5344638181226697, 3.532851087532336, 3.5332898697990127, 3.5356606169371929, 3.5398328920288793, 3.5456649305832695, 3.5530033958233078, 3.5616835352919485, 3.5715299138280376, 3.5823578549368564, 3.5939756683535098, 3.6061876771803552, 3.6187979861448509, 3.6316148578068996, 3.6444554918093908, 3.6571509399865598, 3.6695508434834938, 3.6815276519020697, 3.692979981730407, 3.7038347922925778, 3.7140480999564072, 3.7236040108857793, 3.7325119231262907, 3.7408018234687503, 3.748517677061082, 3.7557089741441052, 3.7624205596461611, 3.7686809384461131, 3.7744893501660841, 3.7798021011722511, 3.7845190380898601, 3.7884718372543014, 3.7914172698126358, 3.7930411903767198, 3.7929830505247324, 3.7908960137228638, 3.7865619798286385, 3.7800771949537619, 3.7720992255604848, 3.7640854613891297, 3.7583668878255621, 3.7578629243467385, 3.7653766778752948, 3.7827246080820047, 3.8101847608037045, 3.8465814228803352, 3.8898754080536935, 3.9378521881084616, 3.9885904938494341, 4.0406392158627584, 4.092988850336293, 4.1449508870554457, 4.1960221648944573, 4.2457705502904046, 4.2937537339788667, 4.3394728698124618, 4.3823602762395284, 4.4217998770964799, 4.4571772494370068, 4.4879519752648145, 4.5137393080975148, 4.5343834300704504, 4.5500038247603785, 4.5610013454722909, 4.5680204889235556, 4.5718755449009345, 4.57345625395536, 4.5736306890001366, 4.5731596322750834, 4.57263040853333, 4.5724121009685303, 4.5725599705843614, 4.5729473441182318, 4.5734076898266691, 4.5736709761063343, 4.5733758057368759, 4.5720877356138798, 4.5693242937401877, 4.5645863339167283, 4.5573940502015642, 4.5473244910353001, 4.5340462171033211, 4.5173463281767328, 4.497145772715367, 4.4735006343497616, 4.446589544480835, 4.4166898168704272, 4.3841466621949712, 4.34934051742332, 4.312657114683601, 4.2744637480016259, 4.2350937488409697, 4.194839873624101, 4.1539563827964816, 4.1126690916148885, 4.0711924681555738, 4.029752698183886, 3.9886152142468725, 3.9481141636752053, 3.9086794148620436, 3.8708540188743146, 3.8352922580109583, 3.8027272524432809, 3.7739002223354823, 3.7494532510236547, 3.7298031187986274, 3.715029375678919, 3.7048149601556757, 3.6984647225411416, 3.6949995044954118, 3.6932956248973725, 3.6922272350999461, 3.6907765155103864, 3.688095943679583, 3.6835256259525173, 3.6765794109216556, 3.6669155926682624, 3.6543048151477686, 3.6386029768824959, 3.6197327351653215, 3.5976743581288484, 3.572465039425623, 3.5442049493665624, 3.5130678512594327, 3.4793138090721278, 3.4433012543894916, 3.4054954977497505, 3.3664707819752118, 3.326903341657856, 3.2875537851535848, 3.2492384837792967, 3.2127914053934385, 3.1790196561801545, 3.1486574646455296, 3.1223240335302407, 3.1004903430680604, 3.0834586395272257, 3.0713563061879601, 3.0641435960672552, 3.0616328226620788, 3.0635154175451782, 3.0693928927185734, 3.0788080869992012, 3.0912738855876341, 3.1062976020905126, 3.1234001715832731, 3.1421300773215757, 3.1620724654220229, 3.1828541997307997, 3.204145718557962, 3.2256605336834787, 3.2471531139845582, 3.2684157635539659, 3.2892749662415559, 3.3095875422733463, 3.329236856174016, 3.3481292308835333, 3.3661906594825539, 3.3833638604040654, 3.3996056909319834, 3.4148849138130428, 3.4291802999994947, 3.4424790444890001, 3.454775470059479, 3.4660699939691697, 3.4763683343371419, 3.4856809351206612, 3.4940225907446814, 3.5014122529958134, 3.5078730033338981, 3.5134321728751639, 3.5181215895764675, 3.5219779272412821, 3.525043123603504, 3.5273648248309373, 3.528996801538987, 3.5299992675223262, 3.5304390183001884, 3.5303892945171471, 3.5299292685333459, 3.5291430553535648, 3.5281181660418897, 3.5269433572090176, 3.525705886571604, 3.5244882610967463, 3.5233646549972208, 3.5223972681082127, 3.521632973962816, 3.5211006515414609, 3.5208095874290728, 3.520749265575553, 3.5208907316421207, 3.5211895434728566, 3.5215901254901794, 3.5220311650545817, 3.5224515526187021, 3.5227962947305111, 3.5230218262915609, 3.5231002103357545], [4.7248846674955862, 4.7253016677452209, 4.7264626959283547, 4.7281016753488512, 4.7297885749864337, 4.7309514326343818, 4.730909863806847, 4.7289204541693062, 4.724231972384163, 4.7161451964748311, 4.7040694019141123, 4.6875664748290218, 4.6663750425533381, 4.6404108776696145, 4.6097450445651829, 4.5745662441342674, 4.5351373531086816, 4.4917580667916717, 4.4447468836130604, 4.3944584338825035, 4.3413588033708468, 4.286193720320159, 4.2302991199558297, 4.1760996105899277, 4.1277471714417855, 4.0915166344501657, 4.0748971815505017, 4.0829881943269211, 4.1130018166310514, 4.1523798910565839, 4.185003585208114, 4.1999853162511176, 4.194589938088038, 4.1714723072134516, 4.1351110247619554, 4.0898403652375928, 4.0392681759521496, 3.9863164163112916, 3.9334099854223212, 3.8826289068894067, 3.8357832309072144, 3.7944234612343943, 3.7598133788839183, 3.7328912358043485, 3.7142389008302201, 3.7040705567544814, 3.7022450822917459, 3.7083005557037958, 3.7215058629655533, 3.7409229910199575, 3.7654736585062265, 3.794004836429949, 3.8253489367041702, 3.8583757018229603, 3.8920339857491184, 3.925382636430701, 3.9576105635332421, 3.9880467870218763, 4.0161617931479388, 4.0415618589710194, 4.0639781455125563, 4.0832523241133192, 4.0993203288567539, 4.1121955674414226, 4.121952621101979, 4.1287121613985454, 4.1326275371075942, 4.1338732553134196, 4.1326354038986821, 4.129103936923407, 4.1234666638848001, 4.1159047401653712, 4.106589440181601, 4.0956799986032522, 4.0833223216059578, 4.0696483940644264, 4.054776235996802, 4.0388102898150606, 4.0218421474602781, 4.003951552516039, 3.9852076366904416, 3.9656703728169265, 3.9453922481668782, 3.9244201829529857, 3.9027977400122573, 3.8805676933005149, 3.8577750453018678, 3.8344706066339418, 3.8107152741962218, 3.7865851651686979, 3.7621777792164486, 3.7376193637874047, 3.713073636776306, 3.6887519608321346, 3.6649249408168223, 3.6419351988329671, 3.6202107310869542, 3.6002777269423727, 3.582771003503098, 3.5684392869355275, 3.5581415423128835, 3.5528296415592249, 3.5535122796835887, 3.5611958188552233, 3.5768003661490977, 3.6010543714309815, 3.6343781465982086, 3.6767744824390882, 3.7277501059283082, 3.7862915783501343, 3.8509110370482884, 3.9197617622651126, 3.9908056247561783, 4.0620008992066197, 4.1314751432149848, 4.1976548203174389, 4.2593373289011192, 4.3157060833514036, 4.3663002934398607, 4.4109560239436139, 4.4497346888363847, 4.4828514854031623, 4.5106116093445792, 4.5333579162282849, 4.5514306805855567, 4.5651383181318064, 4.5747371384666655, 4.5804180643736787, 4.5822985105787382, 4.5820337645598403, 4.5812385857503015, 4.5799101544846659, 4.5780437801025498, 4.5756329146028429, 4.5726691727252087, 4.5691423594341138, 4.56504050606795, 4.560349916713073, 4.5550552266657691, 4.5491394751478111, 4.5425841947560697, 4.535369520423318, 4.5274743209686381, 4.5188763565812478, 4.5095524658238624, 4.4994787859251737, 4.4886310102446032, 4.4769846868105461, 4.4645155617174135, 4.4511999708988954, 4.4370152833206822, 4.4219403979281218, 4.4059562956977194, 4.389046646832127, 4.3711984714869825, 4.3524028503775298, 4.3326556791975319, 4.3119584579847761, 4.2903191034322727, 4.2677527687458605, 4.2442826520905204, 4.2199407711151835, 4.1947686776940438, 4.1688180841183753, 4.1421513697958723, 4.1148419363721089, 4.0869743793686419, 4.0586444462289091, 4.029958754268316, 4.001034247577028, 3.97199737939482, 3.9429830157109027, 3.9141330664799652, 3.8855948623852248, 3.8575193068295519, 3.8300588440254439, 3.8033652938326479, 3.7775876115540692, 3.752869635530431, 3.7293478865604479, 3.7071494806312097, 3.6863902102011386, 3.6671728396362222, 3.6495856479509055, 3.6337012375390518, 3.6195756120498048, 3.6072475109564626, 3.5967379736667078, 3.5880500931058275, 3.5811689083215259, 3.576061378420432, 3.5726763765286278, 3.5709446428878762, 3.570778641059003, 3.5720722709803061, 3.5747004079490745, 3.5785182582480513, 3.5833605510971731, 3.5890406238655688, 3.5953495038267871, 3.60205514529388, 3.6089020445056685, 3.6156115226307044, 3.621883032794039, 3.6273968986976137, 3.6318189136038912, 3.6348071978049514, 3.6360216063632116, 3.6351357756222638, 3.6318515862168357, 3.6259154126298232, 3.6171350662906177, 3.6053958979817824, 3.5906742125031119, 3.5730460789914202, 3.5526898824381679, 3.5298815788403863, 3.5049825185834673, 3.4784207291137674, 3.4506674827189459, 3.4222116101292617, 3.3935342209306141, 3.3650862369298489, 3.3372705279551558, 3.3104296293489806, 3.2848392018698451, 3.2607067176079223, 3.2381744043005294, 3.2173252711837876, 3.1981910366618611, 3.1807609190710413, 3.1649904698486693, 3.1508098674346217, 3.1381313115659903, 3.1268553400968759, 3.1168760268425606, 3.1080851112356971, 3.1003751657601684, 3.0936419339182399, 3.0877859783412509, 3.0827137727420162, 3.0783383582537636, 3.0745796682475843, 3.0713646085800423, 3.0686269639705412, 3.066307186687367, 3.0643521112775649, 3.0627146287427305, 3.0613533452026589, 3.0602322434669502, 3.0593203607970891, 3.0585914922273987, 3.0580239258929267, 3.057600214675555, 3.0573069869574123, 3.0571347982141943, 3.0570780244747175, 3.0571347982141699, 3.0573069869573795, 3.057600214675575, 3.0580239258929107, 3.058591492227396, 3.059320360797058, 3.060232243466956, 3.0613533452026722, 3.0627146287427416, 3.0643521112775693, 3.0663071866873759, 3.0686269639705177, 3.0713646085800104, 3.0745796682475812, 3.0783383582537742, 3.0827137727420189, 3.0877859783412194, 3.0936419339182191, 3.1003751657601679, 3.1080851112356922, 3.1168760268425424, 3.1268553400968639, 3.1381313115659824, 3.150809867434635, 3.164990469848675, 3.1807609190710249, 3.1981910366618918, 3.2173252711837885, 3.2381744043004823, 3.2607067176079227, 3.2848392018698518, 3.310429629348985, 3.3372705279551309, 3.3650862369298467, 3.3935342209305843, 3.4222116101292848, 3.450667482718945, 3.4784207291137546, 3.5049825185834855, 3.5298815788404028, 3.5526898824381408, 3.5730460789914043, 3.5906742125031106, 3.6053958979817677, 3.6171350662906079, 3.6259154126298023, 3.6318515862168517, 3.6351357756222522, 3.6360216063632058, 3.6348071978049452, 3.6318189136039054, 3.6273968986975995, 3.6218830327940266, 3.6156115226307168, 3.6089020445056508, 3.6020551452938654, 3.595349503826784, 3.5890406238655705, 3.5833605510971607, 3.578518258248041, 3.5747004079490519, 3.5720722709803119, 3.5707786410589972, 3.5709446428879028, 3.5726763765286198, 3.5760613784204489, 3.5811689083215286, 3.5880500931058279, 3.5967379736667131, 3.6072475109564519, 3.6195756120497995, 3.6337012375390261, 3.6495856479508837, 3.6671728396362173, 3.6863902102011612, 3.7071494806312471, 3.7293478865604879, 3.7528696355304358, 3.7775876115540612, 3.8033652938326674, 3.830058844025475, 3.8575193068295985, 3.8855948623853003, 3.9141330664800171, 3.9429830157109307, 3.9719973793948076, 4.0010342475770448, 4.0299587542683488, 4.0586444462289588, 4.0869743793686828, 4.1148419363721347, 4.142151369795922, 4.1688180841183966, 4.1947686776941389, 4.2199407711151657, 4.2442826520905594, 4.267752768745928, 4.2903191034322923, 4.3119584579848045, 4.332655679197595, 4.352402850377568, 4.3711984714870056, 4.3890466468321501, 4.4059562956977336, 4.4219403979281591, 4.4370152833206671, 4.4511999708988803, 4.4645155617174055, 4.4769846868105168, 4.4886310102446121, 4.4994787859251124, 4.5095524658238961, 4.5188763565812184, 4.5274743209685928, 4.5353695204233295, 4.5425841947560803, 4.5491394751478076, 4.5550552266657371, 4.560349916713097, 4.5650405060679384, 4.569142359434152, 4.572669172725198, 4.5756329146028669, 4.5780437801025897, 4.5799101544846588, 4.581238585750314, 4.5820337645598546, 4.5822985105787897, 4.5821661618763052, 4.5817689369809154, 4.5811063000986696, 4.580177360145786, 4.5789808736254942, 4.5775152486917774, 4.5757785504346202, 4.5737685074331429, 4.5714825196308304, 4.5689176675978329, 4.5660707232530822, 4.5629381621282343, 4.5595161772634274, 4.5558006948312908, 4.5517873915930345, 4.5474717142953685, 4.542848901121757, 4.537914005313465, 4.5326619210798986, 4.5270874119151454, 4.5211851414361064, 4.5149497068544573, 4.5083756751881321, 4.5014576223050904, 4.4941901748856736, 4.4865680553689282, 4.4785861299316521, 4.4702394595255717, 4.4615233539709038, 4.4524334290738876, 4.4429656666988659, 4.4331164776876841, 4.4228827674729958, 4.4122620041844058, 4.4012522889923833, 4.3898524283792355, 4.3780620079644423, 4.3658814674507926, 4.3533121761895295, 4.3403565087981555, 4.3270179201983483, 4.3133010193726546, 4.2992116410805039, 4.2847569147104343, 4.2699453293971779, 4.2547867944826416, 4.2392926943692926, 4.2234759367866461, 4.2073509934847255, 4.1909339323710793, 4.1742424401329323, 4.1572958344251196, 4.1401150647663014, 4.1227227013654977, 4.1051429112048652, 4.0874014208239942, 4.0695254653931325, 4.0515437238233467, 4.0334862398343629, 4.0153843290904261, 3.9972704727121702, 3.9791781976745271, 3.9611419448088627, 3.9431969253251293, 3.9253789669678687, 3.9077243510964528, 3.8902696421464671, 3.8730515110663655, 3.8561065544400766, 3.839471111089102, 3.8231810780002462, 3.8072717274421404, 3.7917775271172096, 3.7767319651433873, 3.7621673815737897, 3.7481148080465827, 3.7346038170122879, 3.7216623818162216, 3.7093167487253238, 3.6975913217862582, 3.6865085611886879, 3.6760888955924189, 3.6663506486639772, 3.6573099798616839, 3.6489808393129959, 3.6413749364527197, 3.634501721929714, 3.6283683821580062, 3.62297984577532, 3.6183388011926638, 3.6144457243574992, 3.6112989158279221, 3.6088945462478383, 3.6072267093337032, 3.6062874815269175, 3.6060669875225524, 3.6065534709661815, 3.6077333696949259, 3.6095913949989256, 3.6121106144808661, 3.6152725381936963, 3.619057207838297, 3.623443288894864, 3.6284081656473761, 3.6339280391287243, 3.639978028069863, 3.6465322729711218, 3.6535640434279748, 3.6610458488373476, 3.6689495525799183, 3.6772464897218557, 3.6859075882032402, 3.6949034933872151, 3.7042046957284538, 3.7137816611929391, 3.7236049639194415, 3.7336454204682474, 3.7438742248538399, 3.7542630834139734, 3.764784348433539, 3.7754111493213647, 3.78611752004038, 3.796878521417709, 3.8076703569197683, 3.8184704804668645, 3.8292576948901806, 3.8400122396962071, 3.850715866905531, 3.8823626715474018, 3.9130498708178036, 3.9425509196016497, 3.9707672689872959, 3.9977118219800301, 4.0234845375786481, 4.0482432166841251, 4.0721727441207731, 4.0954557859990146, 4.1182473332571847, 4.1406547508846092, 4.162724300921453, 4.1844345331073027, 4.2056964739952463, 4.2263601357294265, 4.2462264447025273, 4.2650632286578407, 4.2826234320865053, 4.2986633528183313, 4.3129585442447711, 4.3253152310693732, 4.3355756948560931, 4.3436170436986314, 4.3493439263771814, 4.3526768610085389, 4.3535387008533108, 4.3518421975078976, 4.3474815754005789, 4.3403305133812067, 4.3302480051554948, 4.3170923392556331, 4.3007420337320026, 4.2811211648526655, 4.2582253894046058, 4.2321443602987507, 4.2030764185702658, 4.171332505073523, 4.1373280265919563, 4.1015635429353061, 4.0645970837986809, 4.027012170626957, 3.9893859420909634, 3.9522611934523506, 3.9161249235373523, 3.8813945375611145, 3.8484115446656499, 3.817441647371977, 3.7886796198716484, 3.7622572628744977, 3.7382528888923532, 3.7167011060984132, 3.6976020264354057, 3.6809293552759659, 3.6666370905641177, 3.6546647593269026, 3.6449412544954423, 3.6373874180138959, 3.631917561654157, 3.6284401375893682, 3.6268577764505792, 3.6270669078996076, 3.6289571714255917, 3.6324108145258647, 3.6373022613930042, 3.6434980164391364, 3.6508570417571899, 3.6592317144718094, 3.6684694280650234, 3.6784148515050181, 3.6889128030183, 3.6998116346910006, 3.7109669640027483, 3.7222455338675169, 3.7335289388911943, 3.7447169269122647, 3.7557299748104715, 3.7665108476897613, 3.7770248805433324, 3.7872587691408968, 3.797217718342202, 3.8069208667740093, 3.8163949828181165, 3.8256665069038811, 3.8347521041559807, 3.8436480061967133, 3.852318598242543, 3.8606850172904217, 3.8686150884666439, 3.8759169245111651, 3.8823401945041827, 3.8875916597585491, 3.8913749979698404, 3.8934680840554963, 3.8938502870533278, 3.8928806663999107, 3.891495338160766, 3.8913366484225236, 3.8946766158329318, 3.9040243298874273, 3.9214722393426458, 3.9480635693205004, 3.9835267783044999, 4.0265012537392417, 4.0750650476687245, 4.1272571759361405, 4.1814013102908785, 4.2362100598864005, 4.2907438603840626, 4.3443078868532519, 4.396342623852898, 4.4463353134900458, 4.4937622613697075, 4.538064268723935, 4.5786544030730552, 4.6149550432151729, 4.6464577010491226, 4.6727945212795863, 4.6938061885484998, 4.7095896305021325, 4.7205122118861258, 4.7271869114258447, 4.730412744775319, 4.7310927318111249, 4.7301451376551009, 4.7284219923556297, 4.7266437213390962, 4.7253527766629562, 4.7248846674955862, 4.7251988552771369, 4.7260909674936693, 4.7274108262616714, 4.728912342912853, 4.7302607721806007, 4.7310444986826425, 4.7307924008518434, 4.7289973450345055, 4.7251454113322833, 4.7187491637129755, 4.7093819321025965, 4.6967090772775633, 4.6805119649867777, 4.6607011197843473, 4.6373166905376904, 4.6105165413014442, 4.5805543931629984, 4.5477519310854211, 4.5124693451614162, 4.4750784161519812, 4.4359412618069571, 4.3953966216516402, 4.3537544111198523, 4.3112984096945395, 4.2682963776504081, 4.2250164922453868, 4.1817485319009746, 4.138827458314057, 4.096655750652932, 4.0557190392564255, 4.0165877067293367, 3.9798962618042424, 3.9462941451453126, 3.9163678015361922, 3.8905443223961402, 3.8689984395523327, 3.8515907649016947, 3.837859982940163, 3.8270749878353669, 3.818332279019192, 3.8106701275862664, 3.8031703920008781, 3.7950292783559814, 3.7855923478076896, 3.7743598436478711, 3.7609732203658828, 3.7451935658831905, 3.7268798253133819, 3.7059714313628258, 3.6824772275263311, 3.6564707290292437, 3.6280906693851769, 3.5975451730388857, 3.5651175631723331, 3.5311716399428357, 3.4961542233355143, 3.4605928888151896, 3.4250872048513212, 3.3902924660540852, 3.3568959012928761, 3.3255865268610898, 3.2970210156722044, 3.2717889047752067, 3.2503809122422544, 3.2331639225602724, 3.2203653311572507, 3.2120680933998278, 3.2082163051271388, 3.2086297816732992, 3.2130251583389948, 3.2210406280589714, 3.2322615361847107, 3.2462445352226892, 3.2625386852685296, 3.2807026005406912, 3.3003173667317349, 3.3209954229690539, 3.342385901088174, 3.3641770625447385, 3.3860965052276368, 3.4079097676914056, 3.4294178711791297, 3.4504542362666104, 3.4708813083518275, 3.4905871344957724, 3.5094820577774373, 3.5274956352346303, 3.5445738404203646, 3.5606765793974526, 3.5757755271217628, 3.589852277227485, 3.6028967901222693, 3.6149061203006405, 3.6258834024974234, 3.6358370766528449, 3.6447803327901758, 3.652730758142984, 3.6597101696338652, 3.6657446146099568, 3.6708645211104698, 3.6751049754569358, 3.6785060992419312, 3.6811134895849187, 3.6829786757781364, 3.6841595324671381, 3.6847205751559797, 3.684733049704616, 3.6842747161333542, 3.6834292220108433, 3.6822849663544153, 3.6809333760207124, 3.6794665570580114, 3.677974345392979, 3.6765408627173337, 3.6752407774318452, 3.6741355640053408, 3.6732701292106129, 3.6726702106170754, 3.6723409346034619, 3.6722668395690841, 3.6724135291774189, 3.6727309382727644, 3.673157999049744, 3.6736283194944086, 3.6740763582164053, 3.674443517026039, 3.6746835790333741, 3.67476698795782], [4.8537877235484244, 4.8543595598744043, 4.8559955064484654, 4.8584588811972624, 4.8613625307313812, 4.8641818108904715, 4.86627603109023, 4.8669199942839843, 4.8653456836362556, 4.8607916856373166, 4.8525552224684994, 4.8400396463820217, 4.8227898732252186, 4.8005099910852342, 4.773060897653215, 4.7404403367380157, 4.7027519681345709, 4.6601734171395179, 4.612935822872438, 4.5613304333334987, 4.5057631105118352, 4.4468866705025105, 4.3858519075710287, 4.3247170868437701, 4.2669968744915128, 4.2181139684822018, 4.1850450286476528, 4.1740320102845052, 4.1861764501431642, 4.2140100709718604, 4.2437783657255892, 4.2626443375937404, 4.2640321044393348, 4.2476283908814967, 4.2165853290593533, 4.1750564365889717, 4.1269705430902555, 4.0756727939140287, 4.0239370841210862, 3.9740677654201741, 3.927982107569953, 3.8872511014963513, 3.8531085465526895, 3.8264459413111087, 3.8078083890855852, 3.7974012220902322, 3.7951113698282284, 3.8005430289219415, 3.8130644019539877, 3.8318610582802761, 3.8559914223757112, 3.8844405344170871, 3.9161691534953467, 3.9501562268398613, 3.9854335995339212, 4.0211125459091521, 4.0564022658521139, 4.0906209186937001, 4.1232000752889313, 4.1536836637237009, 4.1817225746003608, 4.2070660904556458, 4.2295512276671881, 4.249090948881479, 4.2656620413225115, 4.2792932815284619, 4.2900543367227453, 4.2980456991103129, 4.3033898190640105, 4.3062234994144521, 4.306691535638878, 4.3049415332555254, 4.3011198005770837, 4.2953681981423957, 4.2878218217275235, 4.2786074003760559, 4.2678423015346745, 4.2556340499208893, 4.2420802835960068, 4.2272690887993551, 4.2112796737970974, 4.1941833610293555, 4.1760448961564247, 4.1569240923191435, 4.1368778481807684, 4.115962599170305, 4.0942372826101643, 4.0717669183945899, 4.0486269260842676, 4.0249083138524151, 4.0007238798419458, 3.9762155544563162, 3.9515629712881735, 3.9269932681588076, 3.9027919658288219, 3.8793145229999912, 3.8569977931465766, 3.836370088842401, 3.8180578924770425, 3.8027864872000512, 3.7913710516154624, 3.7846943201002743, 3.7836671472402368, 3.7891697083716762, 3.8019740306553103, 3.8226531408896944, 3.8514876968232143, 3.8883859853220724, 3.9328353842896524, 3.983900724536598, 4.0402768151942636, 4.1003904476592252, 4.1625353286529823, 4.2250159416281035, 4.2862759062724294, 4.3449926022401222, 4.400129695733721, 4.450948992422683, 4.496989939967718, 4.5380281195892636, 4.5740237573026059, 4.6050689712989605, 4.631339478170502, 4.6530537274025336, 4.6704403625435162, 4.6837135993712726, 4.6930554499276935, 4.6986035244627695, 4.7004432399079485, 4.7001816331966575, 4.6993960961881127, 4.6980844813453828, 4.6962432198321995, 4.6938673374525335, 4.6909504776701088, 4.6874849324156465, 4.6834616815924788, 4.6788704423982059, 4.6736997297866916, 4.6679369295943678, 4.6615683860598596, 4.6545795056479422, 4.6469548792711199, 4.6386784251485, 4.6297335546671032, 4.6201033636874049, 4.6097708517569522, 4.5987191716483595, 4.5869319114930578, 4.5743934115353735, 4.5610891171437045, 4.5470059691764382, 4.5321328320821488, 4.5164609591904918, 4.4999844935185074, 4.4827010010424857, 4.4646120317888727, 4.4457237022688547, 4.4260472907522868, 4.40559983469256, 4.3844047173305682, 4.3624922282235481, 4.3399000802696275, 4.3166738638740316, 4.292867417386689, 4.2685430920121386, 4.2437718892185563, 4.2186334494386148, 4.1932158726842923, 4.1676153547053056, 4.1419356265255445, 4.11628719055701, 4.090786352860782, 4.0655540582688037, 4.0407145426414672, 4.0163938241010957, 3.9927180621547178, 3.9698118197009129, 3.9477962675102938, 3.9267873734644358, 3.9068941193135722, 3.8882167858190351, 3.8708453428835412, 3.8548579748439189, 3.8403197628657431, 3.8272815368668707, 3.8157788992325368, 3.805831412487882, 3.7974419338019416, 3.7905960714553899, 3.7852617329350271, 3.7813887317997845, 3.7789084215546822, 3.7777333300983615, 3.7777567784898611, 3.7788524834052932, 3.780874164229858, 3.7836552035960755, 3.7870084442747967, 3.7907262449247909, 3.7945809604456531, 3.7983260560625385, 3.8016981020791585, 3.8044199200968687, 3.8062051503192196, 3.8067644702016619, 3.8058136038001011, 3.8030831084291057, 3.7983297081738856, 3.7913486732356061, 3.7819864488643544, 3.7701524660169827, 3.7558288811235236, 3.739076960614748, 3.7200389976002546, 3.6989350374099583, 3.6760542586220182, 3.651741517639596, 3.6263801937819689, 3.6003729410654568, 3.5741221683305429, 3.5480119971419817, 3.5223931202654235, 3.497571488866789, 3.4738012044712181, 3.4512814855470082, 3.4301571912853461, 3.4105221497209071, 3.3924244501986802, 3.3758728927467958, 3.3608438992491401, 3.3472883437653844, 3.335137919699509, 3.3243108078856265, 3.3147165301778738, 3.3062599638446915, 3.2988445543464624, 3.2923748021868993, 3.2867581188445598, 3.2819061525979607, 3.2777356819385615, 3.2741691658410277, 3.2711350290927714, 3.2685677490034379, 3.2664077982773754, 3.2646014883030254, 3.2631007479104888, 3.2618628648598285, 3.2608502109036639, 3.2600299660869561, 3.2593738538514598, 3.2588578953292222, 3.2584621887837044, 3.2581707183384605, 3.2579711947998589, 3.2578549304198443, 3.2578167487692626, 3.257854930419819, 3.2579711947998291, 3.2581707183384854, 3.2584621887836906, 3.2588578953292187, 3.2593738538514274, 3.2600299660869609, 3.2608502109036781, 3.2618628648598418, 3.2631007479104928, 3.2646014883030352, 3.2664077982773509, 3.2685677490034055, 3.2711350290927674, 3.2741691658410415, 3.2777356819385663, 3.2819061525979278, 3.2867581188445358, 3.2923748021869037, 3.2988445543464566, 3.3062599638446724, 3.3147165301778658, 3.3243108078856221, 3.3351379196995206, 3.3472883437653911, 3.3608438992491232, 3.3758728927468247, 3.3924244501986776, 3.4105221497208609, 3.4301571912853501, 3.4512814855470131, 3.473801204471223, 3.4975714888667704, 3.5223931202654204, 3.5480119971419537, 3.5741221683305651, 3.6003729410654537, 3.6263801937819578, 3.6517415176396155, 3.6760542586220359, 3.6989350374099277, 3.7200389976002377, 3.7390769606147485, 3.7558288811235112, 3.7701524660169694, 3.7819864488643309, 3.7913486732356221, 3.7983297081738741, 3.8030831084290999, 3.80581360380009, 3.8067644702016792, 3.8062051503192063, 3.8044199200968616, 3.8016981020791674, 3.7983260560625212, 3.7945809604456375, 3.7907262449247874, 3.7870084442748029, 3.7836552035960662, 3.7808741642298491, 3.7788524834052661, 3.7777567784898638, 3.7777333300983531, 3.7789084215547075, 3.7813887317997792, 3.7852617329350449, 3.7905960714553926, 3.7974419338019403, 3.8058314124878829, 3.8157788992325306, 3.8272815368668631, 3.8403197628657191, 3.8548579748438958, 3.8708453428835421, 3.8882167858190608, 3.9068941193136055, 3.9267873734644718, 3.9477962675102942, 3.9698118197008974, 3.9927180621547338, 4.0163938241011294, 4.0407145426415045, 4.0655540582688658, 4.0907863528608308, 4.1162871905570357, 4.141935626525532, 4.1676153547053181, 4.1932158726843189, 4.2186334494386557, 4.2437718892185918, 4.2685430920121643, 4.2928674173867369, 4.3166738638740458, 4.339900080269711, 4.3624922282235392, 4.384404717330602, 4.405599834692616, 4.4260472907523081, 4.4457237022688751, 4.4646120317889313, 4.4827010010425195, 4.4999844935185287, 4.516460959190514, 4.5321328320821568, 4.5470059691764737, 4.5610891171436849, 4.5743934115353602, 4.5869319114930507, 4.5987191716483311, 4.6097708517569664, 4.6201033636873508, 4.6297335546671361, 4.6386784251484743, 4.6469548792710773, 4.6545795056479493, 4.6615683860598747, 4.6679369295943642, 4.6736997297866578, 4.678870442398229, 4.683461681592469, 4.6874849324156829, 4.6909504776700999, 4.6938673374525566, 4.6962432198322412, 4.6980844813453757, 4.699396096188126, 4.7001816331966717, 4.7004432399079974, 4.7003124561018605, 4.699919980707536, 4.6992654423346227, 4.6983482237950183, 4.697167464807511, 4.6957220658066428, 4.6940106928766863, 4.6920317838395214, 4.689783555528936, 4.6872640122909974, 4.6844709557538371, 4.6814019959157536, 4.6780545636048467, 4.6744259243660649, 4.6705131938356956, 4.6663133546647941, 4.6618232750549442, 4.6570397289689947, 4.6519594180811046, 4.6465789955261769, 4.6408950915060769, 4.6349043408062744, 4.6286034122704045, 4.6219890402688231, 4.6150580581926608, 4.6078074339881301, 4.6002343077336905, 4.5923360312462078, 4.5841102096827573, 4.5755547450843865, 4.5666678817824904, 4.5574482535645702, 4.54789493246557, 4.5380074790210427, 4.5277859937841685, 4.5172311698745542, 4.5063443462882322, 4.4951275616621107, 4.4835836081443521, 4.4717160849843474, 4.4595294514170387, 4.4470290783750928, 4.434221298530086, 4.4211134541254147, 4.4077139420372271, 4.3940322554695515, 4.3800790216737173, 4.3658660350642329, 4.3514062851001789, 4.3367139783006721, 4.3218045537770182, 4.3066946916842275, 4.2914023140283071, 4.275946577308634, 4.2603478565321184, 4.2446277202008798, 4.2288088959540291, 4.2129152266343679, 4.1969716166474234, 4.1810039685885663, 4.1650391102281263, 4.1491047120620488, 4.1332291957609621, 4.1174416339695465, 4.1017716420335315, 4.0862492623447402, 4.0709048421082823, 4.0557689054335269, 4.0408720207417677, 4.0262446645568675, 4.0119170828047821, 3.9979191507887193, 3.9842802330302778, 3.9710290441704426, 3.9581935121080201, 3.9458006445196512, 3.9338763998528359, 3.9224455638140752, 3.9115316322907132, 3.9011567015495632, 3.8913413664487524, 3.8821046272864543, 3.8734638057936981, 3.8654344706601833, 3.8580303728648686, 3.8512633909743128, 3.845143486464615, 3.8396786690315237, 3.8348749717671717, 3.83073643601614, 3.8272651056629039, 3.8244610305662086, 3.8223222788256677, 3.8208449575538954, 3.8200232418296585, 3.8198494115150941, 3.8203138956462634, 3.8214053241307075, 3.8231105865219801, 3.8254148976761466, 3.8283018701297871, 3.8317535930716922, 3.8357507178035348, 3.8402725496026142, 3.8452971459013492, 3.8508014206900594, 3.8567612550233088, 3.8631516134673949, 3.8699466662680884, 3.877119916941044, 3.8846443348955484, 3.892492492594716, 3.9006367066391694, 3.9090491820330189, 3.9177021587621828, 3.9265680596829169, 3.9356196385946598, 3.9448301272558801, 3.9541733800021865, 3.9636240145483219, 3.9731575475015259, 3.9827505230910618, 3.9923806336260821, 4.0020268302384006, 4.0116694225435419, 4.0212901659678888, 4.030872335634494, 4.0404007858769164, 4.068536874652505, 4.0958020944479507, 4.1220523523992325, 4.1472636197172656, 4.1715115101241764, 4.1949446463987083, 4.2177549777982666, 4.2401480520711461, 4.262315697479532, 4.2844128513080015, 4.3065395773052817, 4.3287287660011904, 4.350939640281636, 4.3730569522896712, 4.3948955746514526, 4.4162099746213492, 4.4367077612151586, 4.4560661163444779, 4.4739495297425949, 4.4900269737040794, 4.5039866119137679, 4.5155464356426984, 4.5244598758692156, 4.5305163609330874, 4.5335377942430632, 4.5333727904163519, 4.5298910256348544, 4.5229800954276378, 4.5125467956810743, 4.4985238157483138, 4.4808816083947338, 4.4596439009354167, 4.4349042004249153, 4.4068399919596892, 4.3757213422164645, 4.3419113739532298, 4.3058574530807867, 4.2680736198329354, 4.2291163809353067, 4.1895570670215116, 4.1499543138692134, 4.1108298400554206, 4.0726497645501434, 4.0358125417010493, 4.0006434874054957, 3.9673950364246968, 3.9362513913155457, 3.9073360773817996, 3.8807210213525818, 3.8564360209476649, 3.8344777767531473, 3.8148179521860852, 3.7974099754716963, 3.7821944860836187, 3.7691034586475816, 3.7580631193804326, 3.7489958158685601, 3.7418210219479247, 3.7364556650744891, 3.7328139607020754, 3.7308069311165926, 3.7303417771099632, 3.7313212603741381, 3.7336432419563761, 3.7372005062926639, 3.7418809797111749, 3.7475684255583501, 3.7541436644469686, 3.7614863276288739, 3.7694771052400498, 3.7780004013543342, 3.7869472576024075, 3.7962183604720496, 3.8057269085168604, 3.8154010885845477, 3.8251858981383333, 3.8350440559414274, 3.844955766521184, 3.8549171441490429, 3.8649371575925779, 3.8750330252178373, 3.885224069759535, 3.8955241352919536, 3.9059327849170788, 3.9164256586482069, 3.9269446200630496, 3.9373887317599312, 3.9476077881800777, 3.9574012532980931, 3.9665271500397328, 3.9747277271830215, 3.9817810657833559, 3.9875884182014305, 3.9923020509423082, 3.9964814726846956, 4.0012324558025067, 4.0082412191732733, 4.0196004586451686, 4.037387654002405, 4.0631089612518556, 4.0972617458703722, 4.1392419162829164, 4.1876155688181278, 4.2405687941308665, 4.2963100950011341, 4.3533044326544106, 4.4103392808689819, 4.4664833383351743, 4.5210014063286872, 4.5732680665542471, 4.6227019864044872, 4.6687294556259946, 4.7107788589187392, 4.7483038391785861, 4.7808294048556297, 4.8080113516629295, 4.829695843743937, 4.8459645201607824, 4.8571526145199062, 4.8638335438697808, 4.8667716144955113, 4.866852012240698, 4.8650014183475241, 4.8621123454201394, 4.8589805000553774, 4.8562592107174956, 4.8544302744611123, 4.8537877235484244, 4.8542179478900875, 4.8554649776004384, 4.8573983239996599, 4.8598022391146731, 4.8623791917391044, 4.8647563319468938, 4.8664961697708913, 4.8671125004192834, 4.866092031450842, 4.8629212197230052, 4.8571166388443956, 4.8482560324236896, 4.8360064099583733, 4.8201454323126818, 4.8005730737143422, 4.7773120393789252, 4.7504973081485602, 4.7203569664460385, 4.6871877583753863, 4.6513292553839154, 4.6131402665069041, 4.5729802904235486, 4.5311977582742236, 4.48812579340541, 4.4440853616947598, 4.399395003545111, 4.3543857105425845, 4.3094187616870689, 4.2649033155645881, 4.221309258298124, 4.1791695228056112, 4.1390655479195946, 4.1015908615072121, 4.0672920367266103, 4.0365935866592464, 4.0097217933492546, 3.9866479502874781, 3.9670697366333614, 3.9504392120623883, 3.9360310942485892, 3.9230327176955693, 3.9106330604215351, 3.8980930419002786, 3.884788898983015, 3.8702296635462536, 3.8540554054352669, 3.8360245271541249, 3.8159972690348534, 3.7939203040572194, 3.7698150064091145, 3.7437701894383268, 3.7159389144917077, 3.6865382581081252, 3.6558505378644983, 3.6242243231861879, 3.5920735435228623, 3.5598731500893357, 3.5281501130467166, 3.4974690643541813, 3.4684126155394592, 3.4415572229342613, 3.4174463150029508, 3.3965630712497754, 3.3793055847232369, 3.3659670388920508, 3.3567229710062993, 3.3516267774138568, 3.3506135307744502, 3.3535111485894524, 3.3600571708123219, 3.3699189856910921, 3.3827153036724371, 3.3980369519283555, 3.4154655313948732, 3.4345890200096205, 3.4550139176046941, 3.4763739439309669, 3.498335593615602, 3.5206010222505699, 3.5429088062815284, 3.5650331135106539, 3.5867817683266523, 3.6079936192401401, 3.6285355328199564, 3.6482992586223211, 3.6671983402012276, 3.6851651902359062, 3.702148403355487, 3.7181103471994947, 3.7330250488490906, 3.7468763780637317, 3.7596565189299787, 3.7713647159846779, 3.7820062782690922, 3.7915918240223849, 3.8001367489397402, 3.8076609013790028, 3.8141884479666519, 3.8197479121833666, 3.8243723661807243, 3.8280997518350079, 3.8309733004852, 3.8330420116767687, 3.8343611395387036, 3.8349926215618444, 3.8350053695336404, 3.8344753280466164, 3.8334851951419355, 3.8321236961030145, 3.830484309783976, 3.8286633719282088, 3.8267575255667547, 3.8248605562016369, 3.8230597363243284, 3.8214319015694409, 3.8200395751890506, 3.8189275297049168, 3.8181202045678129, 3.8176203704048661, 3.817409337362851, 3.8174488537866984, 3.8176846522374062, 3.818051402604612, 3.8184786593209181, 3.8188972684101641, 3.8192456456933126, 3.8194753517259215, 3.819555462470372], [4.9587689739453982, 4.9594320478654952, 4.9613526385881253, 4.9643255861489708, 4.9680119571614192, 4.9719453623124412, 4.9755439705927911, 4.9781303121746783, 4.9789601025390997, 4.9772596435352936, 4.9722691457110368, 4.9632871628181006, 4.9497100033588266, 4.9310601470550601, 4.9069995863149112, 4.8773273064138829, 4.8419640735990717, 4.800931582071839, 4.7543365547007417, 4.7023740817121888, 4.6453694469663409, 4.5838849655663365, 4.5189266197441, 4.4522848277425675, 4.3870033012511485, 4.3278213455861909, 4.2811040911625531, 4.2534034246649934, 4.2481559846954804, 4.2620809382262141, 4.2849795070585461, 4.3044230109521182, 4.3114424132648184, 4.3027420089012791, 4.2794188911575572, 4.2447010112105108, 4.2023239787240421, 4.1557634369404743, 4.1079990699979634, 4.0615048477098483, 4.01830011613926, 3.9799975126637319, 3.9478338622124389, 3.9226891603612906, 3.9051027832884584, 3.8952941336381053, 3.8931913554747251, 3.8984684774501139, 3.9105891097806555, 3.9288537250535494, 3.9524473726903722, 3.9804850808789798, 4.0120528800257809, 4.046243115661901, 4.0821833781766106, 4.1190589081735993, 4.1561287321206875, 4.192736057611345, 4.2283136317182102, 4.2623848594253548, 4.2945615088064715, 4.3245388096605826, 4.3520886952152784, 4.3770518536518441, 4.3993291579981788, 4.4188729385346051, 4.4356784588491669, 4.4497758608381206, 4.4612227591590656, 4.4700975940692853, 4.4764937939116773, 4.4805147543237771, 4.4822696093702268, 4.4818697486351615, 4.4794260220993731, 4.4750465696380113, 4.4688352126457866, 4.4608903502976922, 4.4513043112267585, 4.4401631221461084, 4.4275466676051014, 4.4135292292954524, 4.3981804088975736, 4.381566455249394, 4.3637520344695089, 4.3448025002689734, 4.3247867404030353, 4.3037806928016273, 4.2818716391825475, 4.2591633912171893, 4.2357824788174838, 4.2118854231726059, 4.1876671164817338, 4.1633702194188773, 4.1392953059021238, 4.1158112106363784, 4.0933646496582821, 4.0724876832366563, 4.0538010006551861, 4.0380104092864242, 4.0258934684731162, 4.0182731805940266, 4.0159763727948912, 4.0197762021007595, 4.0303212478356585, 4.0480576667764003, 4.0731550291391434, 4.1054493036152762, 4.144416419363476, 4.1891858880677191, 4.2385964710120705, 4.2912867987874881, 4.3458061542790345, 4.4007269306028416, 4.4547416004693732, 4.5067324274583074, 4.5558093363265693, 4.6013179289037041, 4.6428240110720385, 4.6800827695274272, 4.713000384967974, 4.741594263221244, 4.7659560407704795, 4.7862196493430433, 4.8025352870237397, 4.815049201482605, 4.8238886808555979, 4.8291514599770693, 4.830898775774088, 4.8306474563677231, 4.829892953550825, 4.8286336365890499, 4.8268667978625395, 4.8245886685254575, 4.8217944409360065, 4.8184782983648331, 4.8146334526319814, 4.8102521904671169, 4.8053259295293946, 4.7998452851563496, 4.7938001490479252, 4.7871797812056096, 4.7799729165611664, 4.7721678878128619, 4.7637527660547052, 4.7547155208143312, 4.7450442011052987, 4.7347271390408112, 4.7237531774275912, 4.7121119225632278, 4.6997940231680353, 4.686791475990848, 4.6730979581197358, 4.6587091853851446, 4.643623295467818, 4.6278412533887634, 4.6113672759834596, 4.5942092707353144, 4.5763792829843979, 4.5578939440631201, 4.5387749113694973, 4.5190492898316084, 4.4987500227027368, 4.4779162382394473, 4.4565935376476009, 4.4348342088434212, 4.4126973501690419, 4.3902488883490021, 4.3675614757595884, 4.3447142536014285, 4.3217924698549375, 4.2988869439745852, 4.2760933740869049, 4.2535114869068789, 4.2312440355000911, 4.2093956551811607, 4.1880715929698171, 4.1673763308221634, 4.1474121269897415, 4.1282775030318026, 4.1100657059421311, 4.0928631753658271, 4.0767480448651803, 4.0617887036702669, 4.048042441450761, 4.0355541936472523, 4.0243553991784422, 4.0144629763919264, 4.0058784175143973, 3.9985869972084007, 3.9925570878181986, 3.9877395731402507, 3.9840673547292393, 3.9814549504281231, 3.9797981944740957, 3.97897406250708, 3.978840663141578, 3.9792374601168272, 3.9799858144499209, 3.9808899626914096, 3.9817385723940761, 3.9823070349866656, 3.9823606636526874, 3.9816589525201547, 3.9799610157768806, 3.9770322541490675, 3.972652187039333, 3.9666232422716852, 3.9587801206273259, 3.9489991681144625, 3.937207024521364, 3.9233877090549494, 3.9075872904327, 3.8899153983331076, 3.8705430745476654, 3.8496968166689642, 3.8276490866949731, 3.8047059719358831, 3.7811930205113296, 3.7574404662890748, 3.7337690758899451, 3.7104776985503487, 3.6878333176315565, 3.6660640513859457, 3.6453551957435382, 3.625848098008202, 3.6076414316558685, 3.590794320427368, 3.5753307270645496, 3.5612445587096877, 3.5485050227333508, 3.537061870247669, 3.5268502711051357, 3.5177951610739422, 3.5098149821537508, 3.5028247982317762, 3.4967388112027553, 3.4914723297855637, 3.4869432578123947, 3.4830731740286334, 3.4797880743510237, 3.4770188424720923, 3.4747015074807921, 3.4727773390867225, 3.471192822945151, 3.4698995510104704, 3.4688540550800298, 3.4680176058438321, 3.4673559948400787, 3.4668393126703831, 3.4664417335663327, 3.4661413138109456, 3.4659198095033554, 3.4657625176064442, 3.4656581430498208, 3.4655986937896577, 3.4655794050867659, 3.4655986937896324, 3.4656581430497879, 3.4657625176064681, 3.4659198095033399, 3.466141313810942, 3.4664417335663025, 3.4668393126703925, 3.467355994840096, 3.468017605843845, 3.4688540550800329, 3.4698995510104815, 3.4711928229451283, 3.4727773390866896, 3.4747015074807899, 3.477018842472106, 3.4797880743510294, 3.4830731740286001, 3.4869432578123702, 3.4914723297855681, 3.4967388112027509, 3.5028247982317575, 3.5098149821537454, 3.517795161073936, 3.5268502711051468, 3.5370618702476713, 3.5485050227333303, 3.5612445587097179, 3.5753307270645482, 3.5907943204273218, 3.6076414316558738, 3.625848098008206, 3.6453551957435431, 3.6660640513859293, 3.6878333176315543, 3.7104776985503212, 3.7337690758899651, 3.757440466289073, 3.7811930205113202, 3.8047059719359018, 3.8276490866949926, 3.8496968166689349, 3.8705430745476499, 3.889915398333109, 3.9075872904326872, 3.9233877090549396, 3.9372070245213386, 3.9489991681144825, 3.9587801206273125, 3.966623242271679, 3.9726521870393183, 3.9770322541490817, 3.9799610157768663, 3.9816589525201533, 3.9823606636526954, 3.9823070349866501, 3.9817385723940633, 3.9808899626914047, 3.9799858144499267, 3.9792374601168188, 3.9788406631415683, 3.978974062507052, 3.979798194474097, 3.9814549504281165, 3.9840673547292687, 3.9877395731402423, 3.9925570878182128, 3.9985869972084047, 4.0058784175144, 4.0144629763919291, 4.0243553991784333, 4.0355541936472452, 4.0480424414507379, 4.0617887036702447, 4.0767480448651838, 4.0928631753658475, 4.1100657059421586, 4.1282775030318346, 4.1474121269897424, 4.1673763308221465, 4.1880715929698322, 4.2093956551811926, 4.2312440355001248, 4.2535114869069348, 4.2760933740869458, 4.2988869439746127, 4.3217924698549277, 4.3447142536014436, 4.3675614757596115, 4.3902488883490394, 4.4126973501690756, 4.4348342088434451, 4.4565935376476427, 4.4779162382394615, 4.498750022702815, 4.5190492898316004, 4.5387749113695319, 4.5578939440631689, 4.5763792829844148, 4.5942092707353321, 4.6113672759835111, 4.627841253388798, 4.6436232954678403, 4.6587091853851588, 4.6730979581197438, 4.6867914759908746, 4.699794023168014, 4.7121119225632144, 4.7237531774275805, 4.7347271390407926, 4.7450442011053156, 4.7547155208142753, 4.763752766054739, 4.7721678878128388, 4.7799729165611264, 4.7871797812056176, 4.7938001490479394, 4.7998452851563425, 4.8053259295293671, 4.81025219046714, 4.8146334526319672, 4.8184782983648686, 4.8217944409359994, 4.8245886685254789, 4.8268667978625812, 4.8286336365890445, 4.8298929535508375, 4.8306474563677382, 4.8308987757741306, 4.8307731318359988, 4.8303961167627056, 4.8297674812445033, 4.8288868113248009, 4.8277535307460031, 4.8263669042473136, 4.8247260418264313, 4.8228299039827593, 4.8206773079609535, 4.8182669350184355, 4.8155973387418456, 4.8126669544410055, 4.8094741096509246, 4.8060170357734062, 4.8022938808920674, 4.7983027237946212, 4.7940415892368735, 4.7895084644811527, 4.7847013171430453, 4.7796181143756327, 4.7742568434182857, 4.768615533533767, 4.7626922793526099, 4.7564852656345327, 4.7499927934543837, 4.7432133078070571, 4.7361454266178704, 4.7287879711335785, 4.7211399976559214, 4.713200830566163, 4.704970096572044, 4.6964477600932151, 4.6876341596814841, 4.6785300453530905, 4.669136616688415, 4.6594555615333944, 4.6494890951123446, 4.6392399993400328, 4.6287116620941333, 4.6179081161862392, 4.6068340777457299, 4.595494983704195, 4.5838970280492992, 4.5720471964914777, 4.5599532991710614, 4.5476240010128404, 4.5350688493249187, 4.5222982982248316, 4.5093237294725981, 4.4961574692864135, 4.4828128007228143, 4.4693039712106239, 4.4556461948449124, 4.4418556490677688, 4.4279494653933495, 4.4139457138679195, 4.3998633809985277, 4.3857223409335422, 4.3715433197317211, 4.3573478526180072, 4.3431582341902759, 4.3289974616099531, 4.3148891708856381, 4.3008575664311124, 4.2869273441595617, 4.2731236084490618, 4.2594717833924562, 4.2459975188140993, 4.2327265916054406, 4.2196848029925906, 4.2068978724041806, 4.1943913286546444, 4.1821903991965925, 4.1703198982242533, 4.1588041144273857, 4.1476666992039029, 4.1369305561365239, 4.1266177325257072, 4.1167493137490814, 4.1073453211869522, 4.0984246144142942, 4.0900047983143084, 4.0821021357189808, 4.0747314661278473, 4.0679061309989164, 4.061637906051689, 4.0559369409631749, 4.0508117067873686, 4.046268951375108, 4.0423136630294021, 4.038949042585779, 4.0361764840763668, 4.0339955641032139, 4.0324040400224614, 4.0313978570228075, 4.0309711641612465, 4.0311163394101497, 4.031824023752054, 4.0330831643478939, 4.0348810667868049, 4.0372034564045354, 4.040034548631052, 4.0433571282906646, 4.0471526377343343, 4.0514012736250073, 4.0560820921296115, 4.0611731221893841, 4.066651486446168, 4.072493529298157, 4.078674951443392, 4.085170950147238, 4.0919563643418719, 4.0990058235392919, 4.106293899412063, 4.1137952587797528, 4.1214848166313001, 4.1293378877255087, 4.1373303352434476, 4.1454387149235448, 4.153640413097464, 4.1619137770618444, 4.1702382362735788, 4.1785944129405417, 4.186964220699724, 4.1953309502235436, 4.2036793407749009, 4.2119956369329827, 4.2202676299343453, 4.2447193302001667, 4.2684835840612534, 4.2914795420457699, 4.313733310862232, 4.3353558592112922, 4.3565164400233281, 4.3774144939699324, 4.3982525656798854, 4.4192120856263504, 4.4404331574887097, 4.4619988989294246, 4.4839244879085749, 4.5061508639285002, 4.5285429652307059, 4.5508923629507692, 4.5729240961906434, 4.5943073574858007, 4.6146694097359164, 4.63361177102699, 4.6507273712804311, 4.6656171821469403, 4.6779048587815728, 4.6872482669714639, 4.6933473741060769, 4.6959487381405225, 4.6948475499469575, 4.6898886731490901, 4.6809682302075366, 4.6680369461129994, 4.6511057378666756, 4.6302530917809763, 4.6056328375086988, 4.5774802635038077, 4.5461143330688945, 4.5119341511886244, 4.475408742120826, 4.4370604134536151, 4.397443193014281, 4.3571187196183043, 4.316632338052206, 4.2764919475526728, 4.2371514970471322, 4.1990001263747425, 4.1623570544834045, 4.1274715933144721, 4.0945272113336584, 4.0636483893715392, 4.0349090507622138, 4.0083415295412772, 3.9839452882874156, 3.9616948520289235, 3.9415466495622256, 3.923444631438203, 3.9073246619522783, 3.893117766369985, 3.8807523636904095, 3.8701556394198162, 3.8612542207942839, 3.8539743153871782, 3.8482414677236978, 3.8439800801629822, 3.8411128351487371, 3.839560146066515, 3.839239752673306, 3.8400665632544073, 3.8419528280269937, 3.8448087057585663, 3.8485432574221932, 3.8530658669799425, 3.8582880508765314, 3.8641255762396352, 3.8705007656408803, 3.8773448267360706, 3.8846000116908952, 3.8922213875107636, 3.9001779873068458, 3.9084531164385155, 3.9170436076407213, 3.9259578558755961, 3.935212516203809, 3.9448278160081998, 3.9548215176102475, 3.9652016740744354, 3.9759584631439804, 3.9870555883628889, 3.9984220487523259, 4.0099455707555887, 4.0214697657375709, 4.0327982242926357, 4.0437103141705633, 4.0539951770672058, 4.0635114362988043, 4.0722783207629316, 4.0805955601244541, 4.0891703076625756, 4.0991997454055458, 4.1123318882610533, 4.1304370399856145, 4.15519947933746, 4.1876624746223108, 4.2279336104339889, 4.2751908579806468, 4.3279585076994707, 4.3844889705493459, 4.4430832222209036, 4.5022703189083471, 4.5608544999511764, 4.6178796192586349, 4.6725612829601149, 4.7242210264979789, 4.7722406055246562, 4.8160433277665069, 4.8551025729381587, 4.8889730580504995, 4.9173366074077149, 4.940051109642682, 4.9571899233155685, 4.9690603550282351, 4.9761943385348006, 4.9793110880662352, 4.9792581466734624, 4.9769416269845355, 4.9732572785918405, 4.969031577071422, 4.9649777536054991, 4.9616673149872774, 4.9595144185545035, 4.9587689739453982, 4.9592675257317564, 4.9607265890746204, 4.9630363415529981, 4.9660138066784176, 4.9694036778363504, 4.9728808542327254, 4.9760558610358165, 4.9784843278171742, 4.9796814235889748, 4.9791415529904093, 4.9763627356343649, 4.9708740481953599, 4.9622635361464464, 4.9502033833493355, 4.9344691106062069, 4.9149502647113357, 4.8916513540505751, 4.8646833857914604, 4.8342478664877433, 4.8006161901419908, 4.7641077637775506, 4.7250700191112642, 4.6838627950421952, 4.6408486769002257, 4.5963899396317878, 4.5508518654356562, 4.5046113883349328, 4.4580691806085531, 4.4116623527817671, 4.365873893575154, 4.3212340390739952, 4.278308440799794, 4.2376690753498512, 4.1998470440583384, 4.1652718326361207, 4.1342079683484423, 4.1067045859653515, 4.0825730965075513, 4.0614016147055327, 4.0426040800393048, 4.0254918438835707, 4.0093504547771381, 3.9935059978578087, 3.9773716515683799, 3.9604724860706573, 3.9424520206830813, 3.9230665954248427, 3.9021736489906167, 3.8797186239533232, 3.8557234349823606, 3.8302778371818142, 3.8035338468683646, 3.7757025970270899, 3.747052565863993, 3.7179079065721083, 3.6886455685675852, 3.6596900099119503, 3.6315045557931165, 3.6045788610812584, 3.579412471850246, 3.5564951048112157, 3.5362848906802489, 3.5191863452109957, 3.5055301238835703, 3.495556596953902, 3.489404925904124, 3.487108682357392, 3.4885982466513359, 3.4937094127657278, 3.5021969599753899, 3.513751534780249, 3.5280180578667077, 3.5446140030188324, 3.5631462147248718, 3.5832253466090598, 3.6044774279335816, 3.6265524369297468, 3.6491300424785322, 3.6719228600350089, 3.6946776623354118, 3.7171750090288782, 3.7392277337024296, 3.7606786719857417, 3.7813979466719045, 3.8012800565084821, 3.8202409516130826, 3.838215224019319, 3.8551534979043525, 3.8710200702722504, 3.8857908281142595, 3.8994514508128555, 3.911995895211938, 3.9234251538759901, 3.9337462733043909, 3.942971617166724, 3.9511183590522263, 3.9582081890091851, 3.9642672175971345, 3.9693260596847058, 3.9734200772257129, 3.9765897552358345, 3.9788811777512594, 3.9803465604296759, 3.9810447836944602, 3.9810418554259881, 3.9804112163442298, 3.9792337864653318, 3.9775976404478435, 3.9755971974090958, 3.9733318217548872, 3.9709037606191169, 3.9684153943552292, 3.965965850042517, 3.9636471204816379, 3.9615399330891168, 3.9597097088964484, 3.9582030217011805, 3.9570449910894254, 3.9562380053039998, 3.9557620659040715, 3.9555768847798052, 3.9556256677692461, 3.9558403192161942, 3.9561476309806207, 3.9564759035826143, 3.9567613998799067, 3.956954052757288, 3.9570219267269757], [5.0409615377242627, 5.0416603042110575, 5.0436984564801293, 5.0469014844255078, 5.0509787578216212, 5.0555253523383143, 5.060027325429294, 5.0638725045631992, 5.0663684881693625, 5.0667685566440772, 5.0643046260859599, 5.0582245556973158, 5.0478295521536953, 5.032506683890051, 5.0117520630450212, 4.9851821726000125, 4.9525338335416738, 4.9136569409792363, 4.8685079872494752, 4.8171565912940428, 4.7598223024443795, 4.6969653673323579, 4.6294617455198468, 4.5588921128723721, 4.4879444673107223, 4.4208225763029025, 4.3633138948562564, 4.3218731629307703, 4.3011925471194745, 4.3009893795748795, 4.3145883176101787, 4.3314048939284175, 4.3417344873206343, 4.3400530995406807, 4.3252583181871129, 4.2991360161226693, 4.2647254411665054, 4.2252764933810232, 4.1837638068051994, 4.1427255888945709, 4.1042446991776664, 4.069975335568528, 4.0411766264414508, 4.0187431792112065, 4.0032336595457334, 3.9949008580992738, 3.9937256494514424, 3.9994553613690269, 4.0116454953407317, 4.0297028412802209, 4.0529277896169038, 4.0805538770889607, 4.1117830911267887, 4.1458160220817941, 4.1818764748577939, 4.2192305723594732, 4.2572006859626432, 4.2951747215384657, 4.3326113932772135, 4.3690421538527922, 4.404070438340991, 4.4373688369230821, 4.468674750089157, 4.4977850088647422, 4.5245498680527279, 4.5488667072289823, 4.5706737054205924, 4.5899436930920388, 4.6066783304388093, 4.6209027145502928, 4.6326604797436426, 4.6420094249057051, 4.6490176783870787, 4.6537603941046868, 4.6563169612149267, 4.6567687032179901, 4.6551970399124531, 4.651682086599787, 4.6463016688175935, 4.6391307372448569, 4.630241175966078, 4.6197020077822639, 4.6075800125253439, 4.5939407881718601, 4.5788502996407745, 4.5623769759361057, 4.5445944317494416, 4.525584903025444, 4.5054434944787918, 4.4842833361751167, 4.4622417294239591, 4.4394873199273528, 4.4162282557195658, 4.3927211531150538, 4.3692804880482532, 4.3462877369502149, 4.3241992035317764, 4.3035509989082907, 4.2849591430749108, 4.2691123330512468, 4.256754755091734, 4.2486566485683772, 4.2455714204925386, 4.2481801415578158, 4.2570271666776875, 4.2724539572596303, 4.2945410298031605, 4.3230691301596895, 4.3575092200624468, 4.3970463991137514, 4.4406363470666737, 4.4870861327085532, 4.5351464453288468, 4.5836009258011474, 4.6313404532401989, 4.6774148660311319, 4.7210599327949963, 4.7617018857875131, 4.7989446199423513, 4.8325456411838408, 4.8623864350843835, 4.8884417287569804, 4.9107506796206666, 4.9293917086932622, 4.944461680037552, 4.9560594496359798, 4.9642734255187904, 4.9691726254818791, 4.9708007177683795, 4.9705631866471247, 4.9698501753433781, 4.9686604328187451, 4.9669918833343258, 4.9648416406215095, 4.9622060280862996, 4.9590806054130345, 4.9554602020337635, 4.9513389580319416, 4.9467103731480444, 4.9415673646453397, 4.9359023348883841, 4.9297072495604937, 4.9229737275226686, 4.9156931433664095, 4.907856743752915, 4.8994557786426105, 4.890481648502174, 4.8809260685255502, 4.8707812508051065, 4.8600401052443951, 4.8486964597918973, 4.8367453002963359, 4.8241830299272133, 4.8110077476547408, 4.7972195447480184, 4.782820817603354, 4.767816594475109, 4.7522148728346618, 4.7360269631419811, 4.7192678337944987, 4.7019564509311804, 4.6841161056548337, 4.6657747201237481, 4.6469651229053648, 4.6277252830364457, 4.6080984914641832, 4.5881334780140772, 4.5678844518301576, 4.5474110534185685, 4.5267782070743987, 4.506055863625412, 4.4853186251231172, 4.4646452453456567, 4.4441180027291933, 4.4238219455342698, 4.4038440125856306, 4.3842720366446875, 4.365193641212973, 4.3466950451193656, 4.3288597924128256, 4.3117674276599915, 4.295492138573108, 4.2801013888374273, 4.2656545640203518, 4.2522016525437847, 4.2397819820116043, 4.2284230289081997, 4.2181393171338506, 4.2089314183984126, 4.2007850656090211, 4.1936703895547165, 4.1875412899037254, 4.1823349542591375, 4.177971544142193, 4.174354074516204, 4.1713685238257643, 4.168884224148516, 4.1667545951412182, 4.1648182995933869, 4.1629009104687871, 4.1608171863949801, 4.1583740509856177, 4.1553743569179149, 4.1516214840400139, 4.1469247683857891, 4.1411056841550282, 4.1340046050928976, 4.1254878615578292, 4.115454696767479, 4.103843627567672, 4.0906376526402575, 4.0758677455725758, 4.0596141379806836, 4.0420050447352596, 4.0232127002969325, 4.0034468371548773, 3.9829460063183184, 3.9619673720382669, 3.9407757689831788, 3.9196328642687788, 3.8987872131802983, 3.8784658508149681, 3.8588678527580589, 3.8401600644552429, 3.8224749779020759, 3.8059105538202327, 3.7905316634749844, 3.7763727601212529, 3.7634413792482873, 3.7517220968446741, 3.7411806311927505, 3.7317678425116161, 3.7234234550975844, 3.7160793908718484, 3.7096626571438378, 3.7040977732874976, 3.6993087511624907, 3.6952206638730751, 3.6917608487614761, 3.6888597953970832, 3.6864517696111214, 3.6844752219058834, 3.6828730240734346, 3.6815925725085172, 3.6805857911315112, 3.6798090614673615, 3.679223102502267, 3.6787928185848515, 3.6784871298976571, 3.678278796879372, 3.6781442473901138, 3.6780634133140837, 3.6780195816242847, 3.6779992636189873, 3.6779920850209176, 3.6779906988449977, 3.6779907223402906, 3.6779906988449729, 3.6779920850208834, 3.6779992636190144, 3.6780195816242687, 3.6780634133140784, 3.6781442473900832, 3.6782787968793818, 3.6784871298976736, 3.678792818584868, 3.6792231025022688, 3.6798090614673717, 3.6805857911314845, 3.6815925725084848, 3.682873024073436, 3.6844752219059007, 3.6864517696111294, 3.6888597953970512, 3.6917608487614513, 3.6952206638730796, 3.699308751162488, 3.7040977732874802, 3.7096626571438325, 3.7160793908718421, 3.7234234550975995, 3.7317678425116161, 3.74118063119273, 3.7517220968447047, 3.7634413792482819, 3.7763727601212049, 3.7905316634749879, 3.8059105538202336, 3.822474977902083, 3.8401600644552314, 3.8588678527580567, 3.8784658508149445, 3.8987872131803187, 3.9196328642687726, 3.9407757689831717, 3.9619673720382869, 3.9829460063183388, 4.0034468371548497, 4.0232127002969165, 4.0420050447352605, 4.0596141379806667, 4.0758677455725678, 4.0906376526402353, 4.1038436275676897, 4.1154546967674639, 4.1254878615578239, 4.1340046050928789, 4.141105684155046, 4.1469247683857766, 4.1516214840400183, 4.155374356917914, 4.1583740509856044, 4.1608171863949694, 4.1629009104687809, 4.1648182995933949, 4.166754595141211, 4.1688842241485053, 4.1713685238257394, 4.174354074516204, 4.1779715441421867, 4.1823349542591668, 4.1875412899037183, 4.1936703895547298, 4.2007850656090255, 4.2089314183984143, 4.2181393171338541, 4.228423028908197, 4.2397819820115981, 4.2522016525437607, 4.2656545640203261, 4.2801013888374291, 4.2954921385731337, 4.3117674276600226, 4.3288597924128567, 4.3466950451193638, 4.3651936412129544, 4.3842720366447026, 4.4038440125856635, 4.4238219455342973, 4.4441180027292431, 4.4646452453456948, 4.4853186251231429, 4.5060558636254031, 4.5267782070744058, 4.547411053418589, 4.5678844518301869, 4.5881334780141092, 4.6080984914642125, 4.6277252830364874, 4.6469651229053728, 4.6657747201238191, 4.6841161056548293, 4.7019564509312106, 4.7192678337945422, 4.7360269631419936, 4.7522148728346743, 4.7678165944751596, 4.7828208176033895, 4.7972195447480406, 4.8110077476547524, 4.8241830299272159, 4.8367453002963625, 4.8486964597918742, 4.8600401052443853, 4.8707812508050949, 4.8809260685255316, 4.89048164850219, 4.8994557786425634, 4.9078567437529443, 4.9156931433663864, 4.9229737275226322, 4.9297072495605008, 4.9359023348883966, 4.9415673646453353, 4.9467103731480151, 4.9513389580319629, 4.9554602020337502, 4.9590806054130629, 4.9622060280862916, 4.9648416406215308, 4.9669918833343685, 4.9686604328187407, 4.9698501753433941, 4.9705631866471363, 4.9708007177684186, 4.97068196508895, 4.9703256525215256, 4.9697316168664321, 4.9688995874175168, 4.9678291879059175, 4.9665199392295616, 4.9649712629750606, 4.9631824857428501, 4.9611528442862429, 4.9588814914784765, 4.9563675031220136, 4.95360988561663, 4.9506075845038762, 4.9473594939054051, 4.9438644668743619, 4.9401213266781072, 4.9361288790311084, 4.9318859252946012, 4.9273912766609191, 4.9226437693360641, 4.9176422807326476, 4.9123857466827614, 4.9068731796772296, 4.9011036881300623, 4.895076496666924, 4.8887909674260044, 4.8822466223550807, 4.8754431664807889, 4.8683805121171826, 4.8610588039719458, 4.8534784450972595, 4.8456401236224638, 4.8375448401928569, 4.8291939360265967, 4.8205891214875063, 4.8117325050582496, 4.8026266225822294, 4.7932744666289393, 4.783679515819756, 4.7738457639367038, 4.7637777486212043, 4.7534805794518604, 4.7429599651785486, 4.7322222398721365, 4.7212743877387275, 4.710124066332062, 4.698779627890306, 4.6872501385116179, 4.6755453948790349, 4.6636759382389181, 4.6516530653383379, 4.6394888360271018, 4.6271960772368734, 4.6147883830577303, 4.6022801106475981, 4.5896863717249152, 4.5770230194171431, 4.5643066302636148, 4.5515544811995126, 4.5387845213817872, 4.5260153387550917, 4.5132661212952048, 4.5005566129132957, 4.4879070640475494, 4.4753381770201441, 4.462871046284234, 4.4505270937389749, 4.4383279993388802, 4.4262956272754348, 4.4144519480570352, 4.4028189568600222, 4.3914185885673902, 4.3802726299527928, 4.3694026295040853, 4.3588298054121601, 4.3485749522793933, 4.3386583471242828, 4.3290996552757699, 4.3199178367632998, 4.3111310538161298, 4.302756580087399, 4.2948107122161403, 4.2873086843350432, 4.2802645861218211, 4.2736912849781001, 4.2676003529071824, 4.2620019986417024, 4.2569050055566073, 4.2523166758796922, 4.2482427816952884, 4.2446875232104393, 4.2416534947349822, 4.2391416588003805, 4.2371513288175002, 4.2356801606483216, 4.2347241534318982, 4.234277659975354, 4.2343334069764929, 4.2348825253012512, 4.23591459048491, 4.2374176735630726, 4.2393784022680476, 4.2417820325421332, 4.2446125302286726, 4.2478526626959567, 4.2514841000367909, 4.2554875253627333, 4.2598427535807923, 4.2645288579046916, 4.2695243032134425, 4.2748070852319344, 4.2803548743730024, 4.2861451629566805, 4.2921554144078602, 4.298363212939611, 4.3047464121540946, 4.3112832809451271, 4.3179526450661436, 4.3247340227378093, 4.331607752714115, 4.3385551133018359, 4.345558430939251, 4.3526011770795758, 4.3596680522949152, 4.3667450567083765, 4.3738195460758353, 4.3808802730640304, 4.3879174135065586, 4.4088105548013106, 4.4292739048471006, 4.4492639597152781, 4.4688285937854371, 4.488085514084541, 4.5071976649609207, 4.5263481522359266, 4.5457166946765089, 4.5654589254603311, 4.5856892341001849, 4.6064673715320827, 4.6277887759470353, 4.6495784923017069, 4.6716885935005283, 4.6938990885224552, 4.7159223468036107, 4.7374110211188949, 4.7579692858570564, 4.7771669369252105, 4.7945555787986986, 4.8096858413329784, 4.8221244209629512, 4.8314698008912833, 4.8373657895409607, 4.8395124691271816, 4.8376746449799271, 4.8316882798242018, 4.8214655553862311, 4.8069990654980819, 4.7883652460456041, 4.7657266161215341, 4.7393319273862762, 4.7095130804834815, 4.6766777911312314, 4.6412974871342971, 4.6038906817452423, 4.5650028978801416, 4.5251848854483026, 4.484971204692946, 4.4448611718855329, 4.4053037287141992, 4.3666871405442995, 4.3293337216281564, 4.2934991753019789, 4.259375715269651, 4.2270979264477182, 4.1967503052164865, 4.1683755353847909, 4.1419827472928512, 4.1175552214090212, 4.0950571982790755, 4.0744396236395364, 4.0556447838316059, 4.0386098739551102, 4.0232695957566396, 4.0095579119612577, 3.9974090962847497, 3.9867582200858567, 3.9775412123054905, 3.9696946221802265, 3.9631552059931847, 3.9578594505288525, 3.953743136796747, 3.9507410372873402, 3.9487868275543403, 3.9478132772263201, 3.9477527657728668, 3.948538143965155, 3.9501039330228793, 3.9523878206142316, 3.9553323775934897, 3.9588868837201896, 3.9630091172625876, 3.9676669353463017, 3.9728394522285817, 3.9785176141614289, 3.9847039744157056, 3.9914114919238468, 3.9986612127351968, 4.0064787456665032, 4.0148895134229754, 4.0239128515823541, 4.0335551484917218, 4.0438023859068277, 4.0546126821972779, 4.065909802706221, 4.0775791479618571, 4.0894685287610972, 4.1013971235466125, 4.1131772905425379, 4.1246549366587493, 4.1357738086079108, 4.1466652188644018, 4.1577543431894597, 4.1698553736477137, 4.1842044798268816, 4.2023677759571347, 4.2259873376790038, 4.2564047663645344, 4.2942943818186956, 4.3394687800718064, 4.3909407118522079, 4.4471887617605272, 4.5064869842291371, 4.5671709001315559, 4.6277844189248851, 4.6871189347312718, 4.7441861449587162, 4.7981660501072616, 4.8483586656610269, 4.8941543712456168, 4.9350277618458085, 4.9705531622804262, 5.0004353864164157, 5.024546214457887, 5.0429556297317797, 5.0559476968876664, 5.0640143319492372, 5.0678254756444918, 5.0681798085518706, 5.0659443319125623, 5.0619926439741061, 5.0571504432413086, 5.0521535896885563, 5.0476203108385249, 5.0440360230114027, 5.0417473708553775, 5.0409615377242627, 5.041486759326312, 5.0430325410394996, 5.0455089018038093, 5.0487649322579022, 5.0525879518070393, 5.0567034280704748, 5.0607766555657054, 5.0644172946410162, 5.0671877974498756, 5.0686164404090785, 5.0682151191062479, 5.0655012801240469, 5.0600224836121184, 5.0513813042066413, 5.0392578119664968, 5.0234269145699617, 5.0037684539842395, 4.9802690389320485, 4.9530159160315952, 4.9221844257739971, 4.888021478869832, 4.8508278686840391, 4.8109420999954189, 4.7687278734939822, 4.7245665782891786, 4.6788552499718534, 4.6320095260384697, 4.5844701868109068, 4.5367108975572465, 4.4892438051567778, 4.442618868708891, 4.3974126022060336, 4.3542028373199742, 4.3135286877569579, 4.2758391448403774, 4.2414387330911145, 4.2104424358448425, 4.1827523736893744, 4.1580643015727725, 4.1359040141661847, 4.115685450186497, 4.0967772106267155, 4.0785641017531118, 4.06049434808165, 4.0421088280269588, 4.0230536319453343, 4.0030801355581911, 3.9820375716470919, 3.9598624356968544, 3.9365677708166928, 3.9122340279071257, 3.8870020883166791, 3.8610682523972719, 3.8346805091977418, 3.8081351459257258, 3.7817726745768594, 3.7559721133255666, 3.7311428470109358, 3.7077135967348065, 3.6861184385144146, 3.6667802910749994, 3.6500927840922914, 3.6364018401959939, 3.6259885700523569, 3.6190551191187526, 3.6157148858341444, 3.615988077147025, 3.6198029554432503, 3.627002474488223, 3.6373554211482952, 3.6505707705604311, 3.6663137755538306, 3.6842223452024032, 3.7039224784095106, 3.7250418383204682, 3.747220910332195, 3.7701215209084147, 3.793432767210946, 3.8168746011942889, 3.8401994263692631, 3.8631921124576487, 3.8856688295296684, 3.907475066492121, 3.9284831442545989, 3.9485894732416282, 3.9677117460802815, 3.9857862039444845, 4.0027650713522398, 4.0186142196307033, 4.033311093183765, 4.0468429139592672, 4.0592051667462954, 4.0704003597811758, 4.0804370503374869, 4.0893291224219261, 4.0970953024276016, 4.103758897782912, 4.1093477425271931, 4.1138943316815624, 4.117436122634925, 4.1200159759848232, 4.1216826999103144, 4.1224916509597485, 4.1225053301933912, 4.1217938975296571, 4.1204355102497443, 4.1185163762270811, 4.1161304019731455, 4.1133783145050247, 4.1103661494989181, 4.1072030312245369, 4.1039982259134309, 4.1008575298512762, 4.0978791519643778, 4.0951493571619775, 4.0927382343132388, 4.0906960206816692, 4.0890504324526971, 4.0878054041824425, 4.0869415254043604, 4.0864182914206069, 4.0861780820016014, 4.0861515789756879, 4.086264164319263, 4.0864427292729362, 4.0866222840620043, 4.0867517850000734, 4.0867986787192798], [5.1026225474217979, 5.1033121670725663, 5.1053323121305905, 5.1085363234891528, 5.112678385880046, 5.1174126082826028, 5.1222938978900219, 5.1267824136321458, 5.1302533162250921, 5.1320130131577093, 5.1313221121415653, 5.1274239679411968, 5.1195763235716196, 5.1070825210219448, 5.0893185128302942, 5.0657527311906358, 5.0359578162825311, 4.9996161052136614, 4.9565244123474717, 4.906607916072673, 4.8499580734841761, 4.7869154994701493, 4.7182243772122838, 4.6452842300802537, 4.5705007376839468, 4.4976551429797187, 4.4320331198639096, 4.3798222483388507, 4.346304927794896, 4.3331646645464561, 4.3366366519296617, 4.3484828643750451, 4.3595162970930188, 4.3630349478239436, 4.356113958031254, 4.338955772882894, 4.313566734737325, 4.2826479732926312, 4.2489339247925528, 4.2148821750013532, 4.1825630226525128, 4.1536413389846958, 4.1293939069341459, 4.110738045825034, 4.0982636630180851, 4.0922673559664702, 4.0927888044971104, 4.0996493768790403, 4.1124921143879982, 4.1308216973838192, 4.154042811206903, 4.1814954794860153, 4.212486290496364, 4.2463148795023988, 4.2822954487077061, 4.3197734493838542, 4.358137796039613, 4.3968291323647701, 4.4353447385071094, 4.4732406791056549, 4.5101317609449278, 4.5456898144804745, 4.5796407472048157, 4.6117607474934594, 4.6418719507112218, 4.6698378181522342, 4.6955584253848972, 4.7189658102693519, 4.7400194921310579, 4.7587022417860378, 4.7750161566171601, 4.7889790749438967, 4.8006213487845981, 4.8099829831141383, 4.8171111422965849, 4.8220580200355538, 4.8248790675430087, 4.8256315753791377, 4.8243736073405241, 4.8211632897136036, 4.8160584660577666, 4.8091167363490577, 4.8003959096766371, 4.7899549115313906, 4.7778551996394256, 4.7641627555099451, 4.7489507310583079, 4.7323028386300674, 4.714317575052859, 4.6951133608013702, 4.6748346465936734, 4.6536589817096399, 4.6318049383505313, 4.6095406298590618, 4.5871923334644471, 4.5651524215674311, 4.543885424227609, 4.523930620133946, 4.5058991554708276, 4.4904634452083672, 4.4783367005192778, 4.4702410618155417, 4.466864178836313, 4.4688062057488089, 4.4765218411295917, 4.4902646630611507, 4.5100427211054654, 4.5355942493481418, 4.5663899389429519, 4.6016636997570481, 4.6404683519409904, 4.6817478367619092, 4.7244147900187903, 4.7674223719527902, 4.8098217712260842, 4.8508007146782468, 4.889702325221676, 4.9260267826945201, 4.9594200082541446, 4.9896540697284584, 5.0166035526273109, 5.0402211978179361, 5.0605150394310821, 5.0775283210614592, 5.0913227344148098, 5.1019650318009386, 5.1095167818841789, 5.1140269175724313, 5.1155267164953431, 5.1153038918919673, 5.1146350898433708, 5.1135193280453874, 5.1119549774011279, 5.1099397742698258, 5.1074708378815279, 5.104544693184577, 5.1011572994647354, 5.0973040851489877, 5.092979989278076, 5.0881795101952028, 5.0828967620663059, 5.0771255398970565, 5.0708593937656223, 5.0640917130229504, 5.0568158212387946, 5.0490250826773195, 5.0407130210716886, 5.0318734514291954, 5.0225006255248026, 5.0125893916381772, 5.0021353689383599, 4.9911351367235666, 4.9795864384737154, 4.967488400357265, 4.9548417634605251, 4.9416491285528901, 4.9279152116823672, 4.9136471082978055, 4.8988545629243641, 4.8835502406868603, 4.867749996183826, 4.8514731343888933, 4.8347426574103718, 4.8175854901065316, 4.8000326767663344, 4.78211954036819, 4.7638857953614746, 4.7453756045396114, 4.7266375704292969, 4.7077246517703566, 4.6886939961432557, 4.6696066806618486, 4.6505273539031586, 4.6315237739119892, 4.6126662391692959, 4.5940269118207295, 4.5756790351533976, 4.5576960501997714, 4.5401506193234118, 4.5231135675808174, 4.5066527554180444, 4.4908318987320239, 4.4757093543885045, 4.4613368908724009, 4.447758464813286, 4.4350090247119933, 4.4231133633728987, 4.4120850404808927, 4.4019253966599123, 4.3926226804738508, 4.3841513104723937, 4.3764712958228458, 4.3695278415506866, 4.3632511680766761, 4.3575565795714022, 4.3523448214083595, 4.3475027731242077, 4.3429045288695134, 4.3384129209847249, 4.333881542271607, 4.3291573165596562, 4.3240836529072038, 4.3185041939436921, 4.3122671317668706, 4.3052300149997125, 4.2972649095837596, 4.2882637077553811, 4.2781433115375647, 4.2668503589462441, 4.2543651247990297, 4.2407042254204166, 4.2259217969784313, 4.2101089045857361, 4.1933910697888122, 4.1759239650728883, 4.1578874953093203, 4.13947864309546, 4.1209035736278823, 4.1023695567638088, 4.084077260705083, 4.0662139062015612, 4.0489476556319239, 4.0324234680005029, 4.0167605012413725, 4.0020510073665214, 3.9883605584700654, 3.9757293698746898, 3.9641744515198689, 3.9536923155557759, 3.9442619894562672, 3.9358481211527017, 3.928404007632285, 3.9218744245640833, 3.9161981771538885, 3.9113103288232516, 3.9071440932469792, 3.90363239673407, 3.9007091325949776, 3.8983101380943186, 3.89637392905649, 3.8948422283440145, 3.8936603232890077, 3.8927772845654856, 3.8921460755940966, 3.8917235778427077, 3.8914705536537602, 3.8913515647020205, 3.8913348609832834, 3.8913922524177629, 3.8914989727284914, 3.8916335432176949, 3.8917776423748429, 3.8919159858756358, 3.892036220421184, 3.8921288339836551, 3.8921870843227846, 3.8922069470819523, 3.8921870843227584, 3.8921288339836209, 3.8920362204212098, 3.8919159858756203, 3.8917776423748367, 3.8916335432176665, 3.8914989727285039, 3.8913922524177793, 3.8913348609833025, 3.89135156470202, 3.891470553653769, 3.8917235778426806, 3.8921460755940682, 3.8927772845654856, 3.8936603232890246, 3.8948422283440221, 3.8963739290564563, 3.8983101380942919, 3.9007091325949816, 3.9036323967340683, 3.907144093246961, 3.9113103288232476, 3.9161981771538845, 3.9218744245640957, 3.9284040076322837, 3.9358481211526821, 3.9442619894562991, 3.9536923155557666, 3.9641744515198258, 3.9757293698746956, 3.9883605584700645, 4.0020510073665303, 4.0167605012413654, 4.0324234680005011, 4.0489476556319, 4.0662139062015807, 4.0840772607050795, 4.1023695567638008, 4.1209035736279045, 4.139478643095484, 4.1578874953092928, 4.175923965072875, 4.193391069788813, 4.2101089045857201, 4.2259217969784277, 4.2407042254203935, 4.2543651247990466, 4.2668503589462281, 4.278143311537562, 4.2882637077553607, 4.2972649095837721, 4.3052300149996992, 4.3122671317668777, 4.3185041939436921, 4.3240836529071904, 4.32915731655965, 4.3338815422716035, 4.338412920984732, 4.342904528869509, 4.3475027731241997, 4.3523448214083356, 4.3575565795714022, 4.3632511680766672, 4.3695278415507151, 4.376471295822844, 4.3841513104724061, 4.3926226804738535, 4.4019253966599141, 4.4120850404808953, 4.4231133633728952, 4.4350090247119853, 4.4477584648132638, 4.4613368908723761, 4.4757093543885107, 4.4908318987320488, 4.5066527554180711, 4.5231135675808405, 4.5401506193234082, 4.5576960501997528, 4.5756790351534109, 4.5940269118207606, 4.6126662391693207, 4.6315237739120336, 4.6505273539031924, 4.6696066806618717, 4.6886939961432512, 4.7077246517703646, 4.7266375704293173, 4.7453756045396318, 4.763885795361503, 4.7821195403682175, 4.8000326767663726, 4.817585490106536, 4.8347426574104349, 4.8514731343888897, 4.8677499961838571, 4.8835502406868985, 4.8988545629243783, 4.9136471082978135, 4.9279152116824072, 4.9416491285529229, 4.9548417634605499, 4.9674884003572695, 4.9795864384737181, 4.9911351367235905, 5.0021353689383385, 5.0125893916381692, 5.0225006255247893, 5.0318734514291821, 5.0407130210717064, 5.0490250826772751, 5.0568158212388212, 5.0640917130229317, 5.0708593937655868, 5.0771255398970601, 5.0828967620663201, 5.0881795101951948, 5.0929799892780485, 5.0973040851490072, 5.1011572994647185, 5.1045446931846037, 5.107470837881519, 5.1099397742698418, 5.1119549774011706, 5.1135193280453839, 5.1146350898433868, 5.1153038918919815, 5.1155267164953759, 5.1154153149449817, 5.1150810750717044, 5.1145238915218814, 5.1137435897498849, 5.1127399275859942, 5.1115125974365183, 5.110061229119844, 5.1083853933452446, 5.1064846058405138, 5.1043583321370436, 5.10200599302049, 5.0994269706569222, 5.0966206154046754, 5.0935862533218801, 5.090323194380761, 5.0868307413988578, 5.0831081996976764, 5.0791548874973564, 5.0749701470572059, 5.0705533565682668, 5.0659039428033505, 5.061021394528133, 5.0559052766748671, 5.0505552452743157, 5.0449710631428237, 5.0391526163130784, 5.0330999311948741, 5.0268131924467792, 5.0202927615335993, 5.0135391959391367, 5.0065532689957282, 4.9993359902861254, 4.9918886265645668, 4.9842127231359701, 4.9763101256227396, 4.9681830020400559, 4.9598338650898022, 4.9512655945744957, 4.9424814598204083, 4.9334851419896601, 4.9242807561506501, 4.9148728729633673, 4.9052665398285367, 4.8954673013362449, 4.8854812188424104, 4.8753148889894469, 4.8649754609819515, 4.8544706524176018, 4.8438087634695641, 4.8329986892093109, 4.8220499298571777, 4.8109725987444056, 4.7997774277715823, 4.7884757701491383, 4.7770796002117768, 4.7656015101032132, 4.7540547031379372, 4.7424529836585032, 4.7308107432206672, 4.7191429429558172, 4.7074650919803043, 4.6957932217421812, 4.6841438562229625, 4.6725339779360846, 4.6609809896961742, 4.6495026721615913, 4.6381171371883427, 4.6268427770656135, 4.6156982097403096, 4.6047022201737109, 4.593873698010146, 4.5832315717746379, 4.5727947398531956, 4.5625819985460137, 4.5526119675179277, 4.5429030130060548, 4.5334731691765855, 4.5243400580538031, 4.5155208084737843, 4.5070319745429046, 4.4988894541062745, 4.4911084077540933, 4.4837031789154667, 4.4766872156076172, 4.4700729944233908, 4.4638719473560906, 4.4580943920688201, 4.4527494662263454, 4.4478450665096476, 4.4433877929383137, 4.4393828991191819, 4.4358342490367004, 4.4327442809851361, 4.4301139792247843, 4.4279428539210954, 4.4262289298881097, 4.4249687446203918, 4.4241573560411975, 4.4237883603349264, 4.4238539201568168, 4.4243448034268127, 4.4252504328176494, 4.4265589459357155, 4.4282572660739481, 4.430331183282636, 4.4327654453650132, 4.4355438582570086, 4.4386493950992083, 4.4420643131576787, 4.4457702776011736, 4.449748490999907, 4.4539798272789124, 4.4584449687442271, 4.463124544701782, 4.4679992701167475, 4.473050082713284, 4.4782582768981216, 4.4836056329059364, 4.4890745396107894, 4.4946481095284376, 4.5003102846443639, 4.5060459318438202, 4.5118409268852231, 4.5176822260476701, 4.5235579247871254, 4.5294573029531566, 4.5353708563390365, 4.5412903145598396, 4.5590199236624027, 4.5766218361636746, 4.594061791090601, 4.6113815791381398, 4.6286798452210745, 4.6460907577407511, 4.6637626650136346, 4.681838292772821, 4.7004374233315964, 4.719642474699171, 4.7394870422379958, 4.7599472923739716, 4.780936079362867, 4.8022997384605262, 4.8238176283528391, 4.8452045905609786, 4.8661165131543127, 4.8861590995349822, 4.9048997465820703, 4.9218821579953778, 4.9366430155158039, 4.9487297772565002, 4.9577185388482174, 4.9632309203453806, 4.9649491225375746, 4.9626285722218473, 4.9561078558530056, 4.9453158344287713, 4.930275886993881, 4.9111071554256718, 4.888022530927552, 4.861323040401774, 4.8313883584450128, 4.7986634367153513, 4.7636416787474634, 4.7268455945469166, 4.6888063066424577, 4.6500435201874692, 4.6110475426811739, 4.5722646500671331, 4.5340866208351187, 4.4968447118959007, 4.4608078425693023, 4.4261843683092827, 4.3931266015070527, 4.361737168871203, 4.3320763511162443, 4.30416968646957, 4.2780152915387246, 4.2535905273279564, 4.2308577926952111, 4.2097693515086947, 4.1902711908740535, 4.1723059690479189, 4.1558151486369193, 4.1407404296755033, 4.1270246039550997, 4.1146119512177819, 4.1034482929461102, 4.0934808127008022, 4.0846577444560506, 4.0769280225369133, 4.0702409783524418, 4.0645461595154924, 4.0597933353467042, 4.0559327383358852, 4.0529155732251123, 4.0506948036275006, 4.0492262006269293, 4.0484696092730292, 4.0483903585635517, 4.0489607102331302, 4.0501612137631566, 4.0519818121182869, 4.0544225275126085, 4.057493551552068, 4.0612145715505452, 4.0656131863614693, 4.0707223020422845, 4.0765764515594043, 4.0832070561853904, 4.0906367446554359, 4.0988729800874166, 4.1079014326656766, 4.1176798074375132, 4.1281332322028241, 4.1391528777139825, 4.1506002545340817, 4.1623205743924014, 4.1741694667686495, 4.1860576185790856, 4.1980163468273819, 4.2102817828273169, 4.2233841822386857, 4.238211923103802, 4.2560032747415919, 4.2782184791441242, 4.3062786051151178, 4.3412266346104502, 4.383432622653519, 4.4324693358336473, 4.4872065169786479, 4.5460637036918685, 4.6073024726329903, 4.669257143836842, 4.7304629107771756, 4.7896931202382076, 4.8459411246418718, 4.8983817657268229, 4.9463365688594783, 4.9892547346897222, 5.0267127222422694, 5.0584289348617899, 5.0842861486347006, 5.1043525315394493, 5.1188924322070042, 5.1283605668142949, 5.1333773097123281, 5.1346874004032399, 5.1331081371854301, 5.1294749530904067, 5.1245918366095218, 5.1191918611809726, 5.1139101025137821, 5.1092684365101242, 5.1056697633596801, 5.1033982955036405, 5.1026225474217979, 5.1031408165055687, 5.1046717328270361, 5.107143155487635, 5.1104334091972552, 5.1143695408877727, 5.1187257016395815, 5.123222437032724, 5.1275278089674048, 5.1312613095774839, 5.1340014140894974, 5.1352973146052285, 5.1346848712127766, 5.131706152249059, 5.1259312160979835, 5.1169801695604864, 5.1045431962407131, 5.088396317262105, 5.0684111663865776, 5.0445579497235151, 5.0169018268845207, 4.9855939561481017, 4.9508591768938146, 4.912982629552749, 4.8722975142024882, 4.8291757268314708, 4.7840223903194046, 4.7372744134945783, 4.6894022372710911, 4.6409129178441582, 4.5923517397969649, 4.5442988273083742, 4.4973570494467525, 4.4521283238858365, 4.4091775771260124, 4.3689871007655263, 4.3319081182822989, 4.298119541402829, 4.2676043925865201, 4.2401512088741686, 4.2153815958193048, 4.1927982748364405, 4.1718432235405603, 4.1519545073610624, 4.1326129172875499, 4.1133739033788199, 4.0938845824350798, 4.0738885250072618, 4.0532222632259547, 4.0318073561254542, 4.0096409956924015, 3.9867870538095813, 3.9633684794693962, 3.9395611943624758, 3.915589122195839, 3.891719688832437, 3.8682590025467598, 3.8455459323876764, 3.8239444274870444, 3.8038336486322013, 3.785595801021818, 3.7696019377607852, 3.7561964038121132, 3.7456809496247083, 3.7382997943450955, 3.7342269997599096, 3.7335573927761994, 3.7363019508271993, 3.7423880892886747, 3.7516647456846388, 3.7639116396463503, 3.7788516878079101, 3.7961653259956423, 3.8155054532393229, 3.836511840615624, 3.8588240933026685, 3.8820925565522622, 3.9059868600601004, 3.9302020591695039, 3.954462532178002, 3.9785239240334866, 4.0021734934885735, 4.0252292359915227, 4.0475381333954896, 4.0689738383734788, 4.0894340480797471, 4.1088377667337372, 4.1271226059673483, 4.144242227984436, 4.1601640009641745, 4.1748669086017323, 4.1883397353986389, 4.2005795351157449, 4.2115903804218169, 4.2213823859677069, 4.2299709937705945, 4.2373765078920806, 4.2436238640503232, 4.2487426182041004, 4.2527671355548637, 4.2557369571388595, 4.2576973146252755, 4.2586997546115137, 4.2588028213592439, 4.2580727316662754, 4.256583958124442, 4.2544196188973942, 4.2516715559400824, 4.2484399730200417, 4.2448325048352489, 4.2409626044341833, 4.2369471732166923, 4.2329034194475916, 4.2289450172526033, 4.2251777428653527, 4.2216948763053539, 4.2185727564354938, 4.2158669436618172, 4.2136094566997429, 4.211807494129415, 4.2104439264624869, 4.2094796635441529, 4.2088577919157482, 4.2085091711803262, 4.2083590103463457, 4.2083338384869178, 4.2083682490433718, 4.2084108300228467, 4.2084287795374538], [5.1466331913512455, 5.1472803713545101, 5.1491812860372592, 5.1522133339325116, 5.1561700107032307, 5.1607585108285399, 5.1655980016700767, 5.1702199989794781, 5.1740723481328157, 5.1765280996595378, 5.1769000132327321, 5.1744605598428643, 5.1684662568481849, 5.1581842179887083, 5.1429182524652326, 5.1220320115224842, 5.09496776447941, 5.0612614569216454, 5.0205577339780376, 4.9726325767531208, 4.9174361212747453, 4.8551739132246299, 4.7864498586179076, 4.7124932114516049, 4.6354713997741674, 4.5588241866011403, 4.4874151539266149, 4.4271153463384678, 4.3834198248853653, 4.3592233697463207, 4.3529323072438144, 4.3585529701833066, 4.3680861983287746, 4.3745771607637867, 4.3739104819180774, 4.3649005180813214, 4.3484249411713556, 4.3264332863681272, 4.3012221462234947, 4.2750185216167917, 4.2497819572412627, 4.2271310282849646, 4.208331192261813, 4.1943101240460736, 4.1856848734671246, 4.182794460087357, 4.1857354163821947, 4.1943990065699692, 4.2085089904747282, 4.2276586905817153, 4.2513460990916041, 4.2790059142426786, 4.3100376846352226, 4.343829591336771, 4.3797777396719617, 4.4173011181562032, 4.4558525887284457, 4.494926398202014, 4.5340627562900524, 4.572850027099463, 4.6109250458966944, 4.6479720164363805, 4.6837203780905385, 4.7179419648033285, 4.7504477148392859, 4.7810841343024082, 4.8097296696744456, 4.8362911052405, 4.8607000696491927, 4.8829097110976747, 4.9028915817307617, 4.9206327578228812, 4.9361332123074639, 4.9494034495003065, 4.9604624078581283, 4.9693356348827891, 4.9760537385148824, 4.9806511213590401, 4.9831650077301006, 4.9836347787488595, 4.9821016375234839, 4.9786086347952025, 4.9732010951948249, 4.9659274952022194, 4.9568408554916559, 4.9460007216146824, 4.9334758162695893, 4.9193474510818227, 4.9037137818507333, 4.8866949727517728, 4.8684392939834922, 4.8491301033991032, 4.8289935434188749, 4.8083066071824403, 4.7874049825768692, 4.7666897684738405, 4.7466317913421809, 4.7277718794877934, 4.7107151655442561, 4.6961174220018558, 4.6846617624292044, 4.6770249320793518, 4.67383395639383, 4.6756160259356037, 4.6827468176475087, 4.6954043602480562, 4.7135362878878464, 4.7368472853498496, 4.7648105918293009, 4.7967031646237386, 4.8316596517725614, 4.8687369836596508, 4.9069800894054483, 4.9454801582895671, 4.9834194470965834, 5.0200999151195145, 5.0549559993683442, 5.0875540019318137, 5.1175816513580479, 5.1448315574206935, 5.1691818096988786, 5.1905761994489605, 5.2090057247067225, 5.2244923246592778, 5.2370752478224238, 5.2468000963941828, 5.2537103812811532, 5.2578413322782467, 5.2592157001092668, 5.2590068221929043, 5.2583799216202927, 5.2573341999518055, 5.2558683332537957, 5.2539804823965968, 5.2516683076693012, 5.2489289879096352, 5.2457592443999062, 5.2421553698351966, 5.2381132627223144, 5.233628467614122, 5.2286962216345705, 5.2233115077855068, 5.2174691155665789, 5.2111637094632455, 5.2043899058780596, 5.1971423590852686, 5.1894158567794548, 5.181205425763725, 5.1725064482713465, 5.1633147893443088, 5.1536269355865434, 5.143440145472522, 5.132752611217259, 5.1215636319911368, 5.1098737980009883, 5.0976851846356048, 5.0850015555051735, 5.0718285727747601, 5.0581740127067434, 5.0440479837917263, 5.0294631442586688, 5.0144349151305088, 4.9989816843367461, 4.9831249967294671, 4.966889724193928, 4.9503042094284373, 4.9334003764145953, 4.9162138001542646, 4.8987837279396871, 4.8811530442989746, 4.8633681718530442, 4.8454789006760048, 4.8275381393941776, 4.8096015822231095, 4.7917272874298131, 4.7739751643273962, 4.756406367837509, 4.7390826018627541, 4.7220653351415951, 4.7054149358501869, 4.6891897338844348, 4.6734450224245467, 4.6582320129633681, 4.6435967604010235, 4.6295790770088789, 4.6162114560228433, 4.6035180273329201, 4.5915135692359073, 4.5802026015747055, 4.5695785868954149, 4.5596232676181367, 4.5503061687236901, 4.5415842971563318, 4.533402070991607, 4.5256915132543067, 4.5183727467637409, 4.511354826980976, 4.5045369487672575, 4.4978100592209476, 4.4910589011705406, 4.4841644992093306, 4.4770070812509237, 4.4694694027352213, 4.4614404078349494, 4.4528191234150754, 4.4435186396134974, 4.4334699898621475, 4.4226257085440412, 4.4109628228598394, 4.398485033465775, 4.3852238614162165, 4.3712385895380992, 4.3566149032634875, 4.3414622331587251, 4.3259099085545341, 4.3101023354109298, 4.2941934977071572, 4.2783411380540972, 4.2627009921243388, 4.2474214310963063, 4.2326388110046933, 4.2184737471392095, 4.2050284378172869, 4.1923850677886474, 4.1806052381927659, 4.1697303050388932, 4.15978246532383, 4.1507664092118413, 4.1426713554143637, 4.135473300599223, 4.1291373372764699, 4.1236199233739486, 4.1188710166517666, 4.1148360152862145, 4.1114574705464983, 4.1086765575663273, 4.1064343055907511, 4.1046726000484153, 4.1033349759439162, 4.1023672260903608, 4.1017178493294395, 4.1013383637735696, 4.1011835088149668, 4.1012113576344635, 4.1013833595532665, 4.1016643290574519, 4.1020223958594615, 4.102428928052456, 4.1028584383283002, 4.1032884813904484, 4.1036995491099857, 4.1040749686293791, 4.1044008074990828, 4.1046657890053471, 4.104861220090438, 4.1049809336466661, 4.1050212464589775, 4.1049809336466367, 4.104861220090406, 4.104665789005371, 4.104400807499065, 4.1040749686293747, 4.1036995491099555, 4.1032884813904609, 4.1028584383283162, 4.1024289280524746, 4.1020223958594606, 4.1016643290574653, 4.1013833595532381, 4.101211357634436, 4.1011835088149713, 4.1013383637735839, 4.1017178493294484, 4.102367226090327, 4.1033349759438895, 4.1046726000484206, 4.1064343055907511, 4.1086765575663096, 4.1114574705464948, 4.1148360152862056, 4.118871016651779, 4.1236199233739459, 4.1291373372764495, 4.1354733005992559, 4.1426713554143531, 4.1507664092118004, 4.1597824653238344, 4.1697303050388905, 4.1806052381927774, 4.1923850677886438, 4.2050284378172851, 4.2184737471391882, 4.2326388110047164, 4.2474214310963019, 4.26270099212433, 4.2783411380541185, 4.2941934977071829, 4.3101023354109067, 4.3259099085545198, 4.3414622331587278, 4.356614903263468, 4.3712385895380965, 4.385223861416196, 4.3984850334657937, 4.4109628228598226, 4.4226257085440404, 4.4334699898621244, 4.4435186396135125, 4.452819123415062, 4.4614404078349574, 4.4694694027352178, 4.4770070812509122, 4.4841644992093235, 4.4910589011705362, 4.4978100592209582, 4.5045369487672549, 4.5113548269809716, 4.5183727467637187, 4.5256915132543067, 4.533402070991599, 4.5415842971563558, 4.5503061687236883, 4.5596232676181492, 4.5695785868954193, 4.5802026015747108, 4.591513569235909, 4.6035180273329201, 4.6162114560228398, 4.6295790770088594, 4.6435967604010004, 4.6582320129633743, 4.6734450224245689, 4.6891897338844579, 4.70541493585021, 4.7220653351415889, 4.739082601862739, 4.7564063678375215, 4.7739751643274255, 4.7917272874298362, 4.8096015822231468, 4.8275381393942105, 4.8454789006760306, 4.8633681718530433, 4.8811530442989808, 4.8987837279397031, 4.9162138001542832, 4.9334003764146184, 4.9503042094284604, 4.9668897241939636, 4.9831249967294688, 4.9989816843368073, 5.0144349151305079, 5.029463144258699, 5.0440479837917565, 5.0581740127067567, 5.0718285727747681, 5.085001555505217, 5.0976851846356332, 5.1098737980010123, 5.1215636319911404, 5.132752611217259, 5.1434401454725398, 5.153626935586523, 5.1633147893443017, 5.1725064482713368, 5.1812054257637108, 5.1894158567794761, 5.1971423590852313, 5.2043899058780845, 5.2111637094632322, 5.2174691155665505, 5.2233115077855121, 5.228696221634582, 5.233628467614114, 5.2381132627222913, 5.2421553698352126, 5.2457592443998928, 5.2489289879096628, 5.251668307669294, 5.253980482396611, 5.2558683332538338, 5.2573341999518028, 5.2583799216203113, 5.2590068221929167, 5.2592157001092943, 5.2591112703650227, 5.2587979581856361, 5.2582756949797496, 5.2575443672575686, 5.2566038178758996, 5.2554538477845725, 5.2540942182761343, 5.2525246537435155, 5.2507448449491188, 5.2487544528109291, 5.2465531127104521, 5.2441404393287652, 5.2415160320169196, 5.2386794807067085, 5.2356303723687017, 5.2323682980234647, 5.2288928603124978, 5.225203681633503, 5.2213004128461993, 5.2171827425516852, 5.2128504069482124, 5.2083032002648872, 5.2035409857738149, 5.1985637073763371, 5.1933714017611274, 5.1879642111253705, 5.1823423964492612, 5.176506351310473, 5.1704566162211814, 5.1641938934668836, 5.1577190624207789, 5.1510331953036959, 5.1441375733539374, 5.1370337033659874, 5.1297233345509081, 5.1222084756655404, 5.1144914123502794, 5.1065747246096613, 5.0984613043612574, 5.0901543729722531, 5.0816574986958924, 5.0729746139105254, 5.0641100320591903, 5.0550684641772854, 5.0458550348908675, 5.0364752977585017, 5.0269352498251374, 5.0172413452474709, 5.0074005078463646, 4.9974201424344145, 4.9873081447640377, 4.9770729099360249, 4.9667233391067604, 4.9562688443292631, 4.945719351364632, 4.935085300299086, 4.9243776438051761, 4.9136078428897827, 4.902787859975966, 4.8919301491735112, 4.8810476436018027, 4.8701537396386145, 4.8592622779826522, 4.8483875214298182, 4.837544129281965, 4.8267471283225927, 4.816011880316533, 4.8053540460100752, 4.7947895456332654, 4.7843345159305439, 4.7740052637726809, 4.763818216431198, 4.7537898686260807, 4.7439367264886458, 4.7342752486122617, 4.7248217843976565, 4.7155925099327147, 4.7066033616807736, 4.6978699682864633, 4.6894075808436595, 4.6812310020050054, 4.6733545143476638, 4.6657918084453183, 4.6585559111306996, 4.6516591144648176, 4.6451129059632601, 4.6389279006569657, 4.6331137755946283, 4.6276792074150519, 4.6226318136410454, 4.6179780983573888, 4.6137234029481675, 4.6098718625682862, 4.60642636901812, 4.6033885406771251, 4.6007587001226362, 4.5985358600274955, 4.5967177178766958, 4.595300659983022, 4.5942797752044147, 4.5936488786752454, 4.5934005457603178, 4.5935261563218885, 4.594015949261812, 4.5948590871595973, 4.5960437306797237, 4.5975571222669842, 4.5993856784917613, 4.6015150902518709, 4.603930429887277, 4.6066162641226409, 4.6095567716246011, 4.6127358638518867, 4.6161373077869801, 4.6197448490758894, 4.6235423340667001, 4.6275138292327469, 4.6316437364924736, 4.635916902994472, 4.6403187240248736, 4.6448352378091835, 4.6494532111234745, 4.6541602147919532, 4.6589446883296528, 4.6637959931807247, 4.6687044542031, 4.6736613892503929, 4.6786591268991007, 4.693835652401412, 4.7091994170931342, 4.7246991534367382, 4.7403466442065048, 4.7562010448133432, 4.7723514207201498, 4.788899228068483, 4.8059419724052344, 4.8235587716272104, 4.8417981311375353, 4.8606679653211744, 4.8801277770736045, 4.9000829112953008, 4.920380886220709, 4.9408099286626843, 4.961099947021621, 4.9809262269458046, 4.9999160983120818, 5.0176586856359364, 5.0337176262878431, 5.0476463548715662, 5.0590052597000668, 5.0673797775189868, 5.07239835482339, 5.0737491919299309, 5.0711947892321332, 5.0645834946352597, 5.0538574560751011, 5.0390565729701677, 5.0203182030912554, 4.9978725354017675, 4.9720337214029406, 4.9431870976550547, 4.911773131537708, 4.8782690428732396, 4.8431693271816441, 4.806966557149762, 4.7701338149802766, 4.7331099002669221, 4.6962881033408115, 4.6600089035563217, 4.6245565269609425, 4.5901589468360831, 4.5569906749600708, 4.5251775814592099, 4.494802981829733, 4.4659143113265101, 4.4385298353831946, 4.4126449896960285, 4.3882380825925766, 4.3652752117003777, 4.3437143407940466, 4.3235085506915683, 4.3046085232205575, 4.2869643441620697, 4.27052672454146, 4.2552477440147287, 4.2410812188594376, 4.2279827927192155, 4.2159098423685695, 4.2048212841663117, 4.1946773597619771, 4.1854394717729875, 4.1770701310281551, 4.1695330659356156, 4.1627935309342785, 4.1568188343621069, 4.1515790862262296, 4.1470481435117206, 4.1432047054990502, 4.1400334852823431, 4.1375263579837798, 4.1356833631421894, 4.1345134207759511, 4.1340346101155268, 4.1342738592700305, 4.1352659051534868, 4.1370514075642992, 4.1396741410045106, 4.1431772447453765, 4.1475985894319436, 4.1529654239005289, 4.1592886107036762, 4.1665569620691594, 4.1747324767858149, 4.1837476857330689, 4.1935068676096385, 4.203893592340977, 4.2147877903329798, 4.2260960312778604, 4.2377982627747199, 4.250011733147792, 4.2630666308033964, 4.2775770063633907, 4.2944763379326094, 4.3149768663538905, 4.3404190473488518, 4.3720140956434586, 4.410541976367095, 4.4561136680499702, 4.508096421695301, 4.5652279657857608, 4.6258585185204453, 4.6882177064836572, 4.7506232329447018, 4.8115989090246822, 4.869913216486105, 4.9245691248653376, 4.9747754157839568, 5.0199200762371596, 5.059555493608956, 5.0933967118796541, 5.1213285429620354, 5.1434145637587276, 5.1599006025989471, 5.1712068924588186, 5.1779061137918507, 5.1806882090107695, 5.1803160730989122, 5.1775781165087285, 5.1732438596119463, 5.1680273642576164, 5.1625610902684445, 5.157380450172985, 5.1529175121064501, 5.1495012415787471, 5.1473613640615135, 5.1466331913512455, 5.1471195479446497, 5.1485598152989116, 5.1508970810482815, 5.1540348913547653, 5.1578351448687982, 5.1621157322802018, 5.1666485024687132, 5.1711582730350294, 5.1753236878553901, 5.1787807209375059, 5.1811294965737051, 5.1819448139461937, 5.1807903300903941, 5.1772358095264837, 5.1708762791478371, 5.1613514557593723, 5.1483635702688932, 5.1316917920853244, 5.1112018827448242, 5.0868504119654103, 5.0586837076503457, 5.026832502500679, 4.9915038177773381, 4.9529718802886258, 4.911569766116739, 4.8676830310956039, 4.8217458882737922, 4.7742396066192878, 4.7256918254409683, 4.6766745321215728, 4.6277977354476949, 4.5796956780643727, 4.5330031246863047, 4.4883211111896282, 4.4461744892065926, 4.4069670271066235, 4.3709425178954397, 4.3381608978952242, 4.3084959765379267, 4.2816564597027869, 4.2572262433967865, 4.2347156476521519, 4.2136138314088596, 4.1934341554727901, 4.1737476148053752, 4.1542031114696183, 4.1345361249369965, 4.1145687994178974, 4.0942047425519048, 4.0734213359037241, 4.0522615301017391, 4.0308262471715128, 4.0092678035993812, 3.9877842534393579, 3.9666142241652516, 3.9460316499426824, 3.9263397687609083, 3.9078638207011984, 3.8909420504669283, 3.8759148644973642, 3.8631123008612902, 3.8528403054454379, 3.8453666238141997, 3.8409073588627365, 3.8396153564076032, 3.8415715267998771, 3.8467799824408608, 3.8551674966486926, 3.8665873292825177, 3.8808269988569779, 3.897619189399915, 3.9166547234701059, 3.9375964389596807, 3.9600928701640714, 3.9837908187281563, 4.0083461577101653, 4.0334324906701209, 4.0587475448626309, 4.084017385430859, 4.1089986835639625, 4.1334793562828809, 4.1572779277303109, 4.1802419545393503, 4.2022458246382932, 4.2231881917009355, 4.2429892556679558, 4.261588049738565, 4.2789398497893272, 4.2950137851173054, 4.3097907001192945, 4.3232612945029159, 4.3354245538820697, 4.3462864719535661, 4.3558590586485018, 4.3641596245476117, 4.3712103293713742, 4.3770379805440367, 4.381674065792577, 4.3851550006686981, 4.387522567008757, 4.388824511010375, 4.3891152592752771, 4.3884566975809989, 4.3869189404596511, 4.3845810006929868, 4.3815312482996154, 4.3778675313586541, 4.3736968202041568, 4.3691342373935544, 4.3643013542427882, 4.3593236760025826, 4.3543273052056666, 4.3494348655675674, 4.3447608803987032, 4.3404069162306715, 4.336456904572497, 4.3329731195229009, 4.3299932954398539, 4.3275293041357283, 4.3255676754972061, 4.3240720547315634, 4.3229874723151305, 4.3222460943233374, 4.3217739540974804, 4.32149806401367, 4.3213532769883924, 4.3212883058823719, 4.3212704002593227], [5.1831202421658631, 5.1837039696644949, 5.1854212219425726, 5.1881694111554149, 5.1917750773007674, 5.1959907787682926, 5.2004919247041563, 5.2048746339503706, 5.2086558367348132, 5.2112767917358589, 5.2121109243478845, 5.2104763908741347, 5.2056530925766102, 5.19690314032482, 5.1834932181342444, 5.1647171663458717, 5.1399176466612468, 5.1085071535757782, 5.0699910300788176, 5.0239986155284395, 4.970333211775773, 4.9090568657170861, 4.8406304564289799, 4.7661283367001239, 4.6875280968110982, 4.6080191209342738, 4.5321589764837569, 4.4655619722564559, 4.4137862697355033, 4.3804666622543422, 4.365535923388042, 4.3648500945102402, 4.3717555049492249, 4.3796086158552043, 4.3836850385532413, 4.3817572996582363, 4.37366787828444, 4.3605529228934836, 4.3441515580746275, 4.3263406206159232, 4.3088727189126743, 4.2932512097473996, 4.2806843010252216, 4.2720808121843419, 4.2680667238757968, 4.2690119111035276, 4.2750618493169084, 4.2861715625356753, 4.3021400852780181, 4.3226440961338151, 4.3472695904305674, 4.3755406744510505, 4.4069448262906157, 4.4409542581970136, 4.4770432942097402, 4.5147019127852595, 4.553445778602816, 4.59282319681021, 4.632419472920164, 4.6718591645072678, 4.7108066806767912, 4.7489656349703111, 4.786077297589749, 4.821918431399844, 4.8562987382853562, 4.8890580910577075, 4.9200636825388653, 4.9492071878943413, 4.9764020082296447, 5.0015806420485474, 5.0246922153993392, 5.045700190422246, 5.0645802646775495, 5.0813184693318645, 5.0959094724257463, 5.1083550935973365, 5.1186630384882701, 5.1268458644221102, 5.1329201937186166, 5.1369061971455823, 5.138827377488516, 5.1387106919866401, 5.1365870622756065, 5.1324923311409263, 5.1264687361083769, 5.1185669794348554, 5.1088489803671964, 5.0973913954249017, 5.0842899812603548, 5.0696648458025324, 5.0536665782822823, 5.0364831568374404, 5.0183473922779349, 4.9995444682575041, 4.9804188774125748, 4.9613797387269871, 4.9429031445945233, 4.9255298906631406, 4.9098567911879902, 4.8965199167318501, 4.8861686603265015, 4.8794306519181827, 4.8768691892193674, 4.8789368279117218, 4.8859306352220493, 4.8979557513389675, 4.9149037392258643, 4.9364504418695017, 4.9620749230630494, 4.9910972924614745, 5.0227298530233506, 5.0561339936805467, 5.0904750377768364, 5.1249686877370628, 5.1589151447862571, 5.1917196348809469, 5.2229002855762214, 5.2520857262600158, 5.2790053874557952, 5.3034754226324745, 5.3253827184439615, 5.3446688314937152, 5.3613150621841443, 5.3753293460900693, 5.3867352479867927, 5.395563081804168, 5.4018430303467735, 5.4056000743882819, 5.4068505359602144, 5.4066549389419825, 5.4060679272337389, 5.4050888405336375, 5.4037165838896621, 5.40194963609928, 5.3997860616139093, 5.3972235260940629, 5.3942593157992924, 5.3908903610376644, 5.3871132639383701, 5.3829243308440722, 5.3783196096582833, 5.3732949325083785, 5.3678459641160554, 5.3619682562848121, 5.3556573089304207, 5.3489086380860966, 5.3417178513098849, 5.3340807309073952, 5.3259933253495424, 5.3174520492200701, 5.3084537919574988, 5.2989960355647687, 5.2890769813432215, 5.278695685556146, 5.267852203749948, 5.2565477432383316, 5.2447848230007184, 5.2325674399468642, 5.2199012401572169, 5.206793693327632, 5.1932542682202039, 5.1792946064629248, 5.1649286915478463, 5.1501730093638924, 5.1350466960761514, 5.1195716686473443, 5.1037727328019944, 5.0876776627922142, 5.0713172469519323, 5.054725292761618, 5.0379385850138858, 5.0209967907089537, 5.0039423045438021, 4.9868200293282445, 4.9696770863811839, 4.9525624519588334, 4.9355265170488742, 4.9186205694343466, 4.901896198776039, 4.8854046275623242, 4.8691959730911227, 4.8533184481412164, 4.8378175105996499, 4.8227349749857611, 4.8081081014843186, 4.7939686807199431, 4.7803421350141999, 4.7672466592279328, 4.754692426463655, 4.7426808858527689, 4.7312041813441565, 4.7202447217817989, 4.7097749335222252, 4.6997572272472983, 4.6901442102510362, 4.680879174007802, 4.671896883839497, 4.663124692487461, 4.654483991779891, 4.645892005806763, 4.6372639146011236, 4.628515279068786, 4.6195647160073108, 4.6103367473090326, 4.6007647213932747, 4.5907936799119575, 4.5803830219193031, 4.5695088045737569, 4.558165517674591, 4.546367181933447, 4.5341476495379736, 4.5215600299583993, 4.5086752213670014, 4.4955795933416773, 4.4823719326844671, 4.469159823284703, 4.4560556755100054, 4.4431726449174018, 4.4306206812809767, 4.4185029275178884, 4.4069126477026712, 4.3959308100156145, 4.3856243913784345, 4.37604541280571, 4.3672306640672094, 4.359202037161463, 4.3519673622466115, 4.3455216270162227, 4.339848459467432, 4.334921762096716, 4.33070739989172, 4.327164862296522, 4.3242488382367057, 4.3219106614822342, 4.3200995998947889, 4.3187639757631979, 4.317852115243114, 4.3173131329576364, 4.3170975633630047, 4.317157853923403, 4.3174487368925698, 4.3179274969736765, 4.3185541516856052, 4.3192915602104742, 4.3201054750765984, 4.3209645494307711, 4.3218403110088746, 4.3227071123160963, 4.3235420650399101, 4.3243249653689855, 4.3250382156993794, 4.3256667471717565, 4.3261979465974534, 4.3266215905785614, 4.326929788995586, 4.3271169395042968, 4.327179694235447, 4.3271169395042657, 4.3269297889955585, 4.3266215905785836, 4.3261979465974374, 4.3256667471717529, 4.3250382156993545, 4.3243249653689997, 4.3235420650399305, 4.322707112316122, 4.321840311008871, 4.3209645494307809, 4.3201054750765717, 4.3192915602104502, 4.3185541516856079, 4.3179274969736952, 4.3174487368925787, 4.317157853923371, 4.3170975633629798, 4.3173131329576417, 4.3178521152431131, 4.3187639757631819, 4.320099599894788, 4.3219106614822262, 4.3242488382367181, 4.3271648622965184, 4.3307073998917023, 4.3349217620967462, 4.3398484594674196, 4.3455216270161845, 4.3519673622466133, 4.3592020371614604, 4.3672306640672218, 4.3760454128057074, 4.3856243913784319, 4.3959308100155958, 4.4069126477026952, 4.4185029275178875, 4.4306206812809732, 4.4431726449174249, 4.4560556755100302, 4.4691598232846834, 4.4823719326844564, 4.4955795933416791, 4.5086752213669818, 4.5215600299584002, 4.5341476495379531, 4.5463671819334674, 4.5581655176745723, 4.5695088045737551, 4.5803830219192809, 4.5907936799119717, 4.6007647213932614, 4.6103367473090442, 4.6195647160073072, 4.6285152790687789, 4.6372639146011183, 4.6458920058067559, 4.6544839917799008, 4.6631246924874601, 4.671896883839489, 4.6808791740077789, 4.6901442102510345, 4.6997572272472903, 4.7097749335222492, 4.7202447217818033, 4.7312041813441681, 4.742680885852776, 4.7546924264636612, 4.7672466592279328, 4.7803421350141972, 4.7939686807199395, 4.8081081014843017, 4.8227349749857371, 4.8378175105996561, 4.8533184481412404, 4.8691959730911449, 4.8854046275623464, 4.9018961987760337, 4.9186205694343288, 4.9355265170488822, 4.9525624519588609, 4.9696770863812034, 4.9868200293282836, 5.0039423045438323, 5.0209967907089741, 5.0379385850138831, 5.0547252927616215, 5.0713172469519465, 5.0876776627922311, 5.1037727328020166, 5.1195716686473673, 5.1350466960761825, 5.1501730093638933, 5.1649286915479031, 5.1792946064629266, 5.1932542682202349, 5.2067936933276604, 5.219901240157232, 5.232567439946866, 5.2447848230007574, 5.2565477432383556, 5.267852203749972, 5.278695685556146, 5.2890769813432232, 5.2989960355647838, 5.3084537919574828, 5.3174520492200603, 5.3259933253495291, 5.3340807309073881, 5.3417178513099071, 5.3489086380860611, 5.3556573089304411, 5.3619682562848014, 5.367845964116027, 5.3732949325083785, 5.378319609658293, 5.3829243308440642, 5.3871132639383461, 5.3908903610376804, 5.3942593157992773, 5.3972235260940886, 5.3997860616139022, 5.4019496360992942, 5.4037165838896959, 5.4050888405336304, 5.4060679272337531, 5.4066549389419949, 5.4068505359602383, 5.4067527454389497, 5.4064593593176706, 5.4059703341156089, 5.4052855980042507, 5.4044050517672364, 5.4033285701465044, 5.4020560035754492, 5.4005871803024892, 5.3989219089067788, 5.397059981209904, 5.3950011755862413, 5.3927452606760777, 5.3902919995053615, 5.3876411540157232, 5.3847924900091986, 5.3817457825112207, 5.3785008215560586, 5.3750574183973967, 5.3714154121482167, 5.367574676851703, 5.363535128984906, 5.3592967353963026, 5.3548595216777812, 5.3502235809678709, 5.3453890831856796, 5.3403562846896184, 5.3351255383552516, 5.3296973040641138, 5.3240721595927987, 5.3182508118897971, 5.3122341087237945, 5.3060230506851118, 5.2996188035184559, 5.2930227107615941, 5.2862363066608156, 5.2792613293304953, 5.2720997341192879, 5.2647537071420771, 5.2572256789309728, 5.2495183381547337, 5.2416346453513647, 5.2335778466118779, 5.2253514871504319, 5.216959424688338, 5.208405842576191, 5.1996952625709127, 5.1908325571815048, 5.1818229614897353, 5.1726720843489167, 5.1633859188570925, 5.1539708519982081, 5.1444336733388125, 5.1347815826651519, 5.1250221964406162, 5.1151635529624686, 5.105214116092224, 5.0951827774336635, 5.0850788568313741, 5.0749121010621012, 5.0646926805922732, 5.0544311842769378, 5.0441386118772993, 5.0338263642797951, 5.0235062313022993, 5.0131903769822763, 5.002891322246791, 4.9926219248761177, 4.9823953566812653, 4.9722250778296573, 4.9621248082665401, 4.9521084961956285, 4.9421902835999552, 4.9323844688035532, 4.9227054660962004, 4.9131677624658927, 4.9037858715102489, 4.8945742846251106, 4.8855474195978994, 4.8767195667651766, 4.8681048329277452, 4.8597170832518781, 4.8515698814225372, 4.8436764283538203, 4.8360494998022521, 4.8287013832684602, 4.8216438146165341, 4.8148879148797432, 4.8084441277639387, 4.8023221583967537, 4.796530913910205, 4.7910784464733718, 4.7859718994231875, 4.7812174571607633, 4.7768202994948874, 4.7727845611215951, 4.7691132969196763, 4.7658084537291892, 4.7628708492463883, 4.7603001586267633, 4.7580949093280447, 4.7562524846510374, 4.7547691363471962, 4.7536400065565987, 4.752859159222961, 4.7524196210006311, 4.752313431528342, 4.752531702795558, 4.7530646871740982, 4.7539018535337583, 4.7550319707101725, 4.756443197449256, 4.7581231778203783, 4.7600591409749731, 4.762238004029852, 4.7646464767816425, 4.7672711669105183, 4.7700986843118347, 4.7731157432038094, 4.7763092606970226, 4.7796664505791959, 4.7831749111611943, 4.7868227061485724, 4.7905984376395434, 4.7944913105053759, 4.7984911875740961, 4.8025886352114497, 4.8067749590670603, 4.8110422299256319, 4.8242621802868157, 4.8380002101437176, 4.8521658264971546, 4.8667211353589268, 4.8816694932839546, 4.8970422155722888, 4.9128847735400845, 4.9292435352066279, 4.9461537044039154, 4.9636287792894809, 4.9816516272987865, 5.0001671681376907, 5.0190766527201038, 5.0382335930761242, 5.0574414992716781, 5.0764536766614645, 5.0949753956527495, 5.1126687383594858, 5.1291603344759249, 5.1440520198117952, 5.1569342007324757, 5.1674014195323146, 5.175069335371, 5.1795921112702796, 5.1806790689362909, 5.1781094599737258, 5.1717443021930833, 5.161534423138054, 5.1475241117339987, 5.1298500774291194, 5.1087357360407317, 5.0844811693598615, 5.057449425536424, 5.028050114058253, 4.9967214672543827, 4.9639121515381825, 4.9300640882277484, 4.8955973805093889, 4.8608981626630907, 4.8263098364229169, 4.7921277951884571, 4.7585974142530123, 4.7259148433182316, 4.6942299940550187, 4.663651067656394, 4.6342499977210583, 4.6060682675995546, 4.5791226731557346, 4.5534107204303931, 4.5289154578339135, 4.5056096355277413, 4.4834591571820948, 4.462425841696616, 4.4424695473390683, 4.4235497316643704, 4.4056265311897649, 4.3886614483745552, 4.3726177325627891, 4.3574605380416411, 4.3431569374164658, 4.3296758626739553, 4.3169880397187654, 4.3050659746152329, 4.2938840408183543, 4.2834187058570103, 4.27364892277902, 4.2645566959061272, 4.2561278120516191, 4.2483527076743357, 4.2412274202303948, 4.2347545494430898, 4.2289441329528259, 4.2238143227747651, 4.2193917363179372, 4.2157113505694515, 4.2128158124386932, 4.210754053957789, 4.2095791296169764, 4.2093452362380752, 4.2101039358700172, 4.2118996834808504, 4.2147648712581898, 4.2187147525722404, 4.2237428195704227, 4.2298175027079932, 4.2368814619815849, 4.2448552570010332, 4.2536477773487835, 4.2631763371737037, 4.2733994306264247, 4.2843641202703404, 4.2962668235495922, 4.3095196922496717, 4.3248045267374895, 4.3430847095718459, 4.3655403066360048, 4.3934034983233605, 4.4277080072767419, 4.4690168990975669, 4.5172260619965714, 4.5715231347184613, 4.630515050165199, 4.6924645297615992, 4.755543874463517, 4.818033650010408, 4.8784382238737569, 4.9355280003372179, 4.9883354956929917, 5.0361321252514974, 5.0784038779256528, 5.1148341827696848, 5.1452946634799641, 5.1698399616744704, 5.1887011118316622, 5.2022724835775902, 5.211089373938659, 5.2157961212501371, 5.2171072568175827, 5.2157659747950627, 5.2125046930209198, 5.208011746814579, 5.2029067130587094, 5.1977250630328475, 5.1929112789004526, 5.1888185253896637, 5.1857125072688444, 5.1837771689033687, 5.1831202421658631, 5.1835589399425901, 5.1848604277384451, 5.1869804007712004, 5.1898434468208805, 5.1933408890025454, 5.1973281694744822, 5.2016221858386951, 5.2059991085377879, 5.2101933028717404, 5.2138980295292203, 5.2167685738805458, 5.2184283290712674, 5.2184781143911687, 5.2165086536719176, 5.2121157048139581, 5.2049168900137754, 5.194568919237458, 5.1807837210604539, 5.1633420622418802, 5.1421035644081599, 5.117012562004196, 5.0880998826101385, 5.0554812314657518, 5.0193532945773489, 4.9799888423356462, 4.9377319721151407, 4.8929941790509073, 4.8462512391092725, 4.7980400206485472, 4.7489534560640507, 4.6996312209959221, 4.6507434768711295, 4.6029656531521823, 4.5569438968039488, 4.5132534127708377, 4.4723548919306566, 4.4345565333569494, 4.3999896535388929, 4.368603863784994, 4.3401836371113935, 4.3143831644356956, 4.2907725102164651, 4.2688865071938586, 4.2482687756144779, 4.2285059057504828, 4.2092499739858003, 4.1902301482470978, 4.1712556829822889, 4.1522131140571696, 4.1330602329269288, 4.1138188037894663, 4.0945672719735295, 4.0754340679667562, 4.0565916132356685, 4.0382507939315948, 4.0206554710460773, 4.0040765183544256, 3.9888049038804847, 3.975143443083474, 3.9633970405594505, 3.9538614858168275, 3.9468111525391572, 3.9424862331200772, 3.9410803752196579, 3.9427297265859913, 3.9475043993164758, 3.9554032169006414, 3.9663523179723921, 3.9802078014504767, 3.9967621732682752, 4.0157539677415279, 4.0368796298221179, 4.0598065972130204, 4.0841865220375313, 4.1096677002603688, 4.1359059934725968, 4.162573784579207, 4.1893667626596178, 4.2160085503278966, 4.2422533510103584, 4.2678868986324519, 4.2927260431470629, 4.3166173128556213, 4.3394347714050365, 4.3610774459555541, 4.3814665534586013, 4.4005427016944223, 4.4182631955033393, 4.4345995390901258, 4.4495351933415499, 4.4630636226198499, 4.4751866476647484, 4.485913108928786, 4.4952578366299623, 4.5032409188099827, 4.5098872555693923, 4.5152263853481882, 4.5192925666308845, 4.5221250948648937, 4.5237688288272428, 4.5242748924120013, 4.5237015062530803, 4.5221148884673825, 4.51959014531535, 4.5162120516880542, 4.5120756000209541, 4.5072861777526336, 4.5019592223966534, 4.4962192054589964, 4.4901978181029847, 4.4840312782143963, 4.4778567534081786, 4.4718079959702992, 4.4660104056779293, 4.460575859540425, 4.4555977522576224, 4.4511467535061371, 4.4472677869771964, 4.4439786597572262, 4.4412706219322819, 4.439110933831099, 4.4374472933327693, 4.4362137646796853, 4.4353376860397065, 4.4347469370382662, 4.4343769259812484, 4.4341767019944864, 4.4341136934405174], [5.2163309580711035, 5.2168400712496972, 5.2183388503797916, 5.220740819177899, 5.2238993217252547, 5.2276041513046323, 5.2315776606751623, 5.2354711401180687, 5.2388623881885845, 5.2412554424012638, 5.2420833459726008, 5.2407145810129832, 5.2364634123127676, 5.2286039263081401, 5.2163871459063129, 5.1990604385573533, 5.1758887338079651, 5.1461780606690573, 5.1093038273889873, 5.0647492821835591, 5.0121637685897653, 4.9514553282674107, 4.8829361942738236, 4.8075378949600713, 4.7270943162886958, 4.644638647816091, 4.5645599147500597, 4.4923450087299939, 4.4336223935377959, 4.3925316306267197, 4.3700755375655911, 4.3635270487771445, 4.3674558204442215, 4.3757686483193501, 4.3835331052465483, 4.3878170248584576, 4.38760352745419, 4.3832481088811148, 4.375881734626315, 4.3669489949429856, 4.3579128816350652, 4.3500916165660479, 4.3445822136397654, 4.3422352439301584, 4.3436578632457055, 4.3492317310267206, 4.3591384125942074, 4.3733881648666362, 4.391849705582608, 4.4142794152683402, 4.4403488774660547, 4.4696699662837203, 4.5018169459903943, 4.5363452859845799, 4.5728071130785626, 4.6107634087955658, 4.6497932015300574, 4.6895000978200914, 4.7295165461004878, 4.7695062373168051, 4.8091650291327896, 4.8482207438548475, 4.8864321432139057, 4.9235873325907029, 4.9595017980043181, 4.9940162342916921, 5.0269942840363697, 5.0583202745594615, 5.0878970145386342, 5.1156436920423252, 5.1414939012122982, 5.165393814697997, 5.1873005124856792, 5.2071804743050212, 5.2250082417949919, 5.2407652576487003, 5.2544388917293139, 5.2660216684605352, 5.2755107155210643, 5.2829074609352382, 5.2882176139734467, 5.2914514747213035, 5.2926246274499622, 5.291759083472777, 5.288884949002898, 5.2840427009787732, 5.2772861563012139, 5.2686862135505503, 5.258335425560694, 5.2463534189117649, 5.2328931034185686, 5.2181475008991649, 5.2023568584761932, 5.1858154920441413, 5.1688775346145635, 5.1519604636644827, 5.1355449991571298, 5.1201697803908663, 5.1064192583720356, 5.0949036103731622, 5.0862303022289881, 5.0809682172637309, 5.0796069148371812, 5.0825152624663428, 5.0899049280188908, 5.1018045126744678, 5.1180491112027138, 5.1382878319906942, 5.1620087677084312, 5.1885778722261904, 5.2172859952219328, 5.2473974907049907, 5.2781944170413455, 5.309012014342926, 5.3392632777003186, 5.3684524560715143, 5.3961788050006891, 5.4221327633504313, 5.4460869683315432, 5.4678843378980817, 5.487425027372236, 5.5046535686343301, 5.5195470325704479, 5.53210467421692, 5.542339242123318, 5.5502699523973327, 5.5559170262973288, 5.5592976480718921, 5.5604231988321322, 5.5602406691528445, 5.5596928954167764, 5.5587793248226927, 5.5574990403618187, 5.5558507673598374, 5.5538328827386145, 5.5514434271017361, 5.5486801197747564, 5.5455403769602798, 5.5420213331962449, 5.5381198663288798, 5.5338326262408986, 5.5291560675934717, 5.5240864868647002, 5.5186200639810616, 5.5127529088525513, 5.5064811131290075, 5.4998008074960483, 5.4927082248237369, 5.4851997694627013, 5.4772720929585219, 5.4689221764136313, 5.4601474196716238, 5.4509457374284125, 5.4413156622804406, 5.4312564546109661, 5.4207682190734943, 5.4098520272701354, 5.3985100460290765, 5.3867456704611039, 5.3745636607228464, 5.361970281126311, 5.3489734399193836, 5.33558282771628, 5.3218100521874998, 5.3076687662298756, 5.2931747864391641, 5.2783461983056892, 5.2632034441688864, 5.2477693896065949, 5.232069363625417, 5.216131167776771, 5.1999850491764432, 5.1836636323750716, 5.1672018051467878, 5.1506365535517, 5.1340067421190128, 5.1173528357087257, 5.1007165605635745, 5.0841405032704206, 5.067667647821076, 5.0513408526888659, 5.0352022718131781, 5.0192927255813826, 5.0036510302868136, 4.9883132970735335, 4.9733122140027008, 4.9586763275199379, 4.9444293421956429, 4.9305894600585178, 4.9171687830444792, 4.9041728039234291, 4.8916000124011614, 4.8794416437641139, 4.8676815972446201, 4.8562965500094259, 4.8452562900625438, 4.834524287126845, 4.8240585144605657, 4.8138125263350151, 4.8037367854105577, 4.7937802215080652, 4.78389198853964, 4.7740233702025305, 4.7641297684023574, 4.7541726926058558, 4.7441216551364054, 4.7339558687616456, 4.7236656407295463, 4.7132533633547515, 4.7027340163508224, 4.6921351204018444, 4.6814961137934556, 4.6708671618619491, 4.6603074490466136, 4.6498830412612913, 4.6396644378760916, 4.6297239541676065, 4.6201330842211332, 4.6109599901376033, 4.602267246937183, 4.5941099462048136, 4.5865342288052453, 4.5795762818589978, 4.5732618013995614, 4.5676058928145471, 4.5626133584053878, 4.558279306159104, 4.5545900060899829, 4.5515239194474866, 4.5490528303832898, 4.5471430177622372, 4.5457564151617076, 4.5448517183782817, 4.5443854108707118, 4.5443126877629751, 4.5445882678317426, 4.5451670900992323, 4.5460048972159681, 4.5470587118565176, 4.5482872150517926, 4.5496510369695429, 4.5511129713613414, 4.5526381249370669, 4.5541940124988907, 4.5557506079249919, 4.5572803601674261, 4.5587581824160974, 4.5601614215519835, 4.5614698140197349, 4.5626654333193324, 4.5637326334720534, 4.564657992059634, 4.5654302557730766, 4.56604029082862, 4.5664810401096174, 4.566747488460396, 4.5668366371836964, 4.5667474884603676, 4.566481040109589, 4.5660402908286395, 4.5654302557730615, 4.5646579920596313, 4.5637326334720303, 4.5626654333193466, 4.5614698140197554, 4.5601614215520083, 4.5587581824160877, 4.5572803601674359, 4.5557506079249688, 4.5541940124988685, 4.5526381249370731, 4.5511129713613583, 4.5496510369695535, 4.5482872150517615, 4.54705871185649, 4.5460048972159708, 4.5451670900992358, 4.5445882678317293, 4.544312687762976, 4.5443854108707047, 4.5448517183782897, 4.5457564151616969, 4.5471430177622185, 4.5490528303833218, 4.5515239194474706, 4.5545900060899474, 4.5582793061591058, 4.5626133584053807, 4.5676058928145595, 4.5732618013995632, 4.5795762818589978, 4.5865342288052311, 4.5941099462048403, 4.6022672469371786, 4.6109599901375997, 4.6201330842211581, 4.6297239541676358, 4.6396644378760739, 4.6498830412612859, 4.6603074490466136, 4.6708671618619269, 4.6814961137934636, 4.6921351204018249, 4.702734016350842, 4.7132533633547347, 4.7236656407295499, 4.7339558687616243, 4.744121655136416, 4.7541726926058443, 4.7641297684023698, 4.774023370202527, 4.7838919885396347, 4.7937802215080616, 4.8037367854105524, 4.8138125263350258, 4.8240585144605683, 4.8345242871268415, 4.8452562900625242, 4.8562965500094215, 4.8676815972446148, 4.8794416437641335, 4.8916000124011658, 4.9041728039234371, 4.9171687830444837, 4.9305894600585249, 4.9444293421956482, 4.9586763275199353, 4.9733122140027, 4.9883132970735184, 5.0036510302867896, 5.0192927255813853, 5.0352022718131977, 5.0513408526888846, 5.0676676478210938, 5.0841405032704126, 5.1007165605635585, 5.1173528357087354, 5.1340067421190376, 5.1506365535517205, 5.1672018051468207, 5.1836636323750982, 5.1999850491764645, 5.2161311677767754, 5.2320693636254205, 5.2477693896066047, 5.2632034441689024, 5.2783461983057132, 5.2931747864391925, 5.307668766229904, 5.3218100521875034, 5.3355828277163253, 5.3489734399193853, 5.3619702811263412, 5.3745636607228739, 5.3867456704611136, 5.3985100460290818, 5.4098520272701727, 5.4207682190735138, 5.4312564546109856, 5.4413156622804371, 5.4509457374284125, 5.4601474196716371, 5.4689221764136118, 5.4772720929585104, 5.4851997694626897, 5.4927082248237307, 5.4998008074960687, 5.5064811131289737, 5.5127529088525726, 5.5186200639810528, 5.52408648686467, 5.5291560675934699, 5.5338326262409074, 5.5381198663288753, 5.5420213331962271, 5.5455403769602922, 5.5486801197747413, 5.551443427101761, 5.5538328827386074, 5.5558507673598516, 5.5574990403618507, 5.5587793248226838, 5.5596928954167915, 5.5602406691528508, 5.5604231988321571, 5.5603319409450709, 5.5600581582983173, 5.559601824075358, 5.558962894049694, 5.5581413072867196, 5.557136987127925, 5.5559498424576068, 5.5545797692544125, 5.5530266524285796, 5.5512903679475194, 5.5493707852510532, 5.5472677699591735, 5.5449811868746144, 5.5425109032825759, 5.5398567925504931, 5.5370187380300955, 5.5339966372647522, 5.5307904065036437, 5.5273999855261495, 5.5238253427775463, 5.5200664808176807, 5.5161234420839627, 5.5119963149699087, 5.5076852402176142, 5.503190417625448, 5.4985121130681058, 5.4936506658269399, 5.4886064962271472, 5.4833801135769153, 5.4779721244028501, 5.4723832409737616, 5.4666142901040091, 5.4606662222256999, 5.4545401207170512, 5.4482372114721835, 5.4417588726958037, 5.4351066449033034, 5.4282822411054177, 5.4212875571525911, 5.4141246822125222, 5.4067959093516382, 5.3993037461866527, 5.3916509255716516, 5.3838404162804867, 5.3758754336429, 5.367759450087374, 5.3594962055423068, 5.3510897176412433, 5.3425442916761545, 5.3338645302371051, 5.3250553424746752, 5.3161219529161654, 5.307069909763892, 5.2979050925989357, 5.2886337194116173, 5.2792623528745315, 5.2697979057714663, 5.2602476454922558, 5.2506191974996428, 5.2409205476719762, 5.231160043422558, 5.2213463934935707, 5.2114886663219879, 5.2015962868710979, 5.1916790318227646, 5.1817470230224894, 5.1718107190721785, 5.1618809049642573, 5.1519686796544599, 5.1420854414727684, 5.1322428712764303, 5.1224529132545458, 5.1127277533007591, 5.1030797948798421, 5.093521632323621, 5.0840660215057003, 5.0747258478590602, 5.0655140917181809, 5.0564437909879469, 5.0475280011651122, 5.038779752764329, 5.0302120062302116, 5.0218376044502833, 5.0136692230198276, 5.0057193184480289, 4.998000074538858, 4.9905233472235082, 4.9833006081698432, 4.976342887541545, 4.9696607163316688, 4.9632640687419762, 4.9571623051305815, 4.951364116094374, 4.9458774682944986, 4.9407095526711755, 4.9358667357197028, 4.9313545145228712, 4.9271774762408489, 4.9233392627580077, 4.9198425411676023, 4.9166889807427596, 4.9138792369932682, 4.911412943341225, 4.9092887108669432, 4.9075041364768435, 4.9060558197317752, 4.9049393884465511, 4.9041495330335509, 4.9036800494167956, 4.9035238901929867, 4.9036732235645655, 4.9041194994225545, 4.9048535218183149, 4.9058655269361715, 4.9071452655687251, 4.9086820890065663, 4.910465037186488, 4.9124829279014079, 4.9147244458591457, 4.9171782303905784, 4.9198329606457785, 4.9226774371825117, 4.9257006589379078, 4.9288918946829892, 4.9322407481833501, 4.9357372164261823, 4.9393717404184159, 4.9431352482091739, 4.9551169403405124, 4.9679854527476541, 4.9815869084712867, 4.99581177710962, 5.0105888098443581, 5.0258763527654935, 5.0416522706387497, 5.0579034878768212, 5.0746158658151739, 5.0917648654049383, 5.1093072407482101, 5.1271738900844444, 5.1452639527652746, 5.1634402650871412, 5.1815263488108325, 5.1993051751951151, 5.2165199961120967, 5.2328775370363694, 5.2480537853616491, 5.2617024724235462, 5.2734661429276191, 5.2829894503986488, 5.2899340448018357, 5.2939941704730424, 5.2949119115797947, 5.2924909429884162, 5.2866076857894129, 5.2772189294947589, 5.26436525051502, 5.2481698995980031, 5.2288332125270678, 5.2066229783183564, 5.1818615370780465, 5.1549106381916907, 5.1261552384110241, 5.0959874410280603, 5.0647916714214736, 5.0329319698924317, 5.0007419955182213, 4.9685180197884291, 4.9365148909598053, 4.9049447053163799, 4.8739777512424123, 4.8437452017668221, 4.8143430132840335, 4.7858365262086258, 4.7582653377352413, 4.7316481089176134, 4.7059870628276252, 4.6812720171796451, 4.6574838676610133, 4.6345974951613842, 4.6125841116150559, 4.5914130872580801, 4.5710533194116962, 4.5514742121433951, 4.5326463397269272, 4.5145418666240245, 4.4971347941051212, 4.480401099471182, 4.4643188285400512, 4.4488681956955078, 4.4340317382012611, 4.4197945623469099, 4.4061447080007143, 4.3930736450310492, 4.3805768997500287, 4.3686547921998704, 4.3573132462624793, 4.3465646151002648, 4.3364284455984761, 4.3269320888716676, 4.3181110513571515, 4.3100089744793699, 4.3026771321964858, 4.2961733465753538, 4.2905602432406971, 4.2859028023044079, 4.2822652076240519, 4.2797070603802672, 4.2782791065511176, 4.2780187399331862, 4.2789456956847989, 4.2810585616325714, 4.2843330259967178, 4.2887231655350728, 4.2941675484369508, 4.300602413171621, 4.3079844991641263, 4.316325852929948, 4.3257414335341648, 4.3365066569153052, 4.3491153190844924, 4.3643188951845717, 4.3831190589795792, 4.4066834901730436, 4.4361699627428983, 4.4724793012909139, 4.5160021843573634, 4.5664493200390552, 4.6228334030409268, 4.6836092186251674, 4.7469136158064291, 4.8108196623901938, 4.8735372840118227, 4.9335332276551034, 4.9895783916664209, 5.0407472839546603, 5.0863947310564122, 5.1261271312289169, 5.1597764379023232, 5.1873781759190107, 5.2091510280529709, 5.2254744979985137, 5.2368620311403289, 5.2439288453214719, 5.2473557447306982, 5.2478516956730488, 5.2461185569789572, 5.2428210401877573, 5.2385639679537581, 5.2338775909352684, 5.2292104896066611, 5.2249286812033704, 5.2213190682704784, 5.2185952689209572, 5.216904053546858, 5.2163309580711035, 5.2167136390126227, 5.2178504357767483, 5.2197071666234249, 5.2222254198198863, 5.2253205198000074, 5.2288789454753211, 5.2327554795154345, 5.2367704584148029, 5.2407075799696612, 5.2443127934984872, 5.2472948295896087, 5.2493278984916767, 5.2500569798192505, 5.2491059304828003, 5.246088358849164, 5.2406208795842808, 5.232338026704431, 5.2209078288744806, 5.2060469081541552, 5.1875339990869263, 5.165221009749275, 5.1390411239016878, 5.1090138945920316, 5.0752476989105899, 5.0379402028309137, 4.9973775369189513, 4.9539326602854876, 4.9080628959171131, 4.8603059230056722, 4.8112727536842623, 4.7616356284889836, 4.712108633092333, 4.6634194731596539, 4.6162724270190072, 4.5713049081197346, 4.5290427533771807, 4.4898613609773896, 4.4539601219639291, 4.4213556795322013, 4.3918957547180986, 4.3652908164451709, 4.3411572982538393, 4.3190644992700467, 4.2985779676291846, 4.2792944064965841, 4.2608659280927066, 4.2430138992365443, 4.2255341836380413, 4.2082962332159877, 4.1912384254185362, 4.1743615834033303, 4.1577220089371503, 4.1414247733815852, 4.1256175344773949, 4.1104848011568409, 4.0962423494879179, 4.0831313835354877, 4.0714120192303227, 4.0613557350534597, 4.0532365707125031, 4.0473210525908154, 4.0438570647881145, 4.0430621395921502, 4.0451118739587759, 4.0501293460598173, 4.0581764677343122, 4.069248137445113, 4.0832698496913267, 4.1000990943208047, 4.1195304920047642, 4.1413042249690548, 4.1651169999584123, 4.1906345733210779, 4.2175048001945301, 4.2453702364003432, 4.2738794941704352, 4.3026967886650898, 4.3315093664036892, 4.3600327412323976, 4.3880138528028594, 4.4152323949271484, 4.4415006365041245, 4.4666620838982061, 4.4905893226844711, 4.5131813413589681, 4.5343605913856804, 4.5540699857598712, 4.5722699883143081, 4.5889359019757201, 4.6040554278157062, 4.617626538340172, 4.629655687424612, 4.640156364546236, 4.6491479911636953, 4.656655150898283, 4.6627071412481484, 4.6673378316833141, 4.6705858099524251, 4.6724947942057282, 4.6731142820928753, 4.6725003984628586, 4.6707168900114837, 4.6678361979036067, 4.6639405183485749, 4.6591227375176985, 4.6534871034422496, 4.6471494774468436, 4.6402369965806161, 4.6328869829468369, 4.6252449627008954, 4.6174617125725623, 4.6096893376718899, 4.602076498174875, 4.5947630340511294, 4.5878743683018559, 4.5815161762351115, 4.5757698655038137, 4.570689398086488, 4.5662998915975379, 4.5625982697396577, 4.5595560131971418, 4.5571238274862989, 4.5552378313487338, 4.5538267103555219, 4.5528191944423826, 4.552151208201809, 4.5517720983680929, 4.5516494456451113], [5.233969915683816, 5.2344022956674436, 5.2356749759726693, 5.2377138355782673, 5.2403929476375808, 5.2435312773885547, 5.2468886261213541, 5.2501613714322826, 5.252978672520654, 5.2548998779170457, 5.2554138679821047, 5.2539409687438603, 5.2498378891542457, 5.2424058955139756, 5.230902224343466, 5.2145546796103774, 5.1925796444280854, 5.1642045877024847, 5.1286978173744728, 5.0854109636445255, 5.0338435604728922, 4.97374370414762, 4.90526226416819, 4.8291755376777763, 4.747172263080456, 4.662150073861417, 4.5783743523047526, 4.5012496900977661, 4.436456117270513, 4.3884749226962745, 4.3590590327799603, 4.346551338876818, 4.3465761617212184, 4.3537012928145957, 4.3630944370266409, 4.37145935404501, 4.3771743258667142, 4.3799502299995883, 4.3803503613710228, 4.3793701492622512, 4.3781401524977337, 4.3777441823239833, 4.3791218258177276, 4.3830255133624316, 4.3900101501454563, 4.4004410845550872, 4.4145118228669649, 4.4322664681044772, 4.4536239457193547, 4.4784022436976985, 4.506341544374135, 4.5371255108364217, 4.5704002513922415, 4.605790688279936, 4.6429142274439181, 4.6813917701016337, 4.7208562218077068, 4.7609587380853595, 4.8013729972480377, 4.841797813584428, 4.8819584026918568, 4.9216065915831528, 4.9605202354653173, 4.9985020662876867, 5.0353781596664051, 5.0709961697708916, 5.1052234482405252, 5.1379451342972589, 5.1690622793268615, 5.1984900502520173, 5.2261560416514374, 5.251998716281677, 5.275965986889414, 5.298013948437438, 5.3181057686591018, 5.3362107458358228, 5.3523035455794821, 5.3663636329991826, 5.3783749227948157, 5.3883256774252226, 5.3962086923957422, 5.4020218176499242, 5.4057688745671193, 5.4074610383627393, 5.4071187644030356, 5.4047743419416232, 5.4004751568317308, 5.3942877312333524, 5.3863025769499933, 5.3766398418338541, 5.3654556365069697, 5.3529487923075756, 5.3393676144382756, 5.3250159574371789, 5.3102576775423014, 5.2955182438107906, 5.2812820807278475, 5.2680841631369786, 5.2564946033675906, 5.2470955664497758, 5.2404508729434776, 5.2370700368169958, 5.2373700153299518, 5.2416392410636696, 5.2500091130428972, 5.2624376812537932, 5.2787086703385855, 5.2984465303415975, 5.3211454775790799, 5.3462082205622776, 5.3729888264576182, 5.4008341894680632, 5.4291196359357636, 5.4572758941456856, 5.4848064549118538, 5.511295846376882, 5.5364103326477938, 5.5598929987067303, 5.5815552064138512, 5.6012661517259907, 5.6189418682722119, 5.6345346174756408, 5.6480232474283829, 5.6594048218145954, 5.6686876212439588, 5.6758854932163887, 5.6810134586888994, 5.6840844574277822, 5.6851071176433319, 5.6849350049524041, 5.6844185025190264, 5.6835571182545754, 5.6823500353336556, 5.6807961172160697, 5.6788939147538677, 5.676641675460778, 5.6740373550412624, 5.6710786312985855, 5.667762920562823, 5.664087396797302, 5.6600490135651, 5.6556445290515338, 5.6508705343588561, 5.6457234853016667, 5.6401997379455286, 5.6342955881402297, 5.6280073153045738, 5.6213312307219505, 5.6142637305992311, 5.6068013541328829, 5.5989408468054096, 5.5906792291070451, 5.5820138708396811, 5.5729425711054521, 5.5634636440203558, 5.5535760101071903, 5.543279293224975, 5.5325739227719888, 5.5214612407575041, 5.5099436131761612, 5.4980245449294074, 5.4857087973287078, 5.4730025069788537, 5.4599133045810619, 5.4464504319154114, 5.4326248549655833, 5.4184493708369379, 5.4039387058048991, 5.3891096015158908, 5.3739808860647713, 5.3585735264006171, 5.3429106582848114, 5.3270175898568795, 5.310921774779608, 5.2946527509510375, 5.2782420409166519, 5.2617230104091215, 5.2451306819112569, 5.2285015007994806, 5.2118730525012209, 5.1952837301985388, 5.178772353944594, 5.162377743622498, 5.146138249960436, 5.130091249795294, 5.1142726139161798, 5.0987161580630582, 5.0834530899394039, 5.0685114673310663, 5.0539156845020132, 5.0396860058377495, 5.0258381670812371, 5.0123830652945278, 4.999326558702438, 4.9866693966454756, 4.9744072978023208, 4.9625311914627419, 4.95102763180713, 4.9398793888018728, 4.9290662114792525, 4.9185657501895239, 4.9083546142230814, 4.8984095305250177, 4.8887085587965435, 4.8792323090173415, 4.8699651003818936, 4.86089599690757, 4.8520196555167061, 4.843336927931837, 4.8348551685120604, 4.8265882159024232, 4.8185560361092969, 4.810784036803299, 4.8033020852535468, 4.7961432830647182, 4.7893425676545114, 4.7829352214157232, 4.7769553736702584, 4.771434577590651, 4.7664005348442675, 4.761876026133443, 4.757878087890874, 4.7544174561686026, 4.7514982801659862, 4.7491180914769799, 4.7472680021205882, 4.7459330953232088, 4.7450929679234601, 4.7447223818212727, 4.7447919834838679, 4.7452690543757665, 4.746118260514252, 4.7473023754378456, 4.7487829571004241, 4.7505209651197573, 4.752477310094914, 4.7546133311939469, 4.7568912018312348, 4.7592742660190499, 4.761727309960408, 4.7642167747529616, 4.7667109168131949, 4.7691799229222358, 4.7715959867506248, 4.773933353432259, 4.7761683383104021, 4.7782793254342018, 4.780246750792374, 4.7820530746708547, 4.7836827469349439, 4.7851221684856204, 4.7863596516294464, 4.7873853816404788, 4.788191381377076, 4.7887714804472976, 4.7891212900865163, 4.7892381846165399, 4.7891212900864906, 4.7887714804472719, 4.7881913813770938, 4.7873853816404637, 4.7863596516294438, 4.7851221684856036, 4.783682746934959, 4.7820530746708751, 4.7802467507923998, 4.778279325434192, 4.7761683383104128, 4.7739333534322377, 4.771595986750607, 4.7691799229222447, 4.7667109168132082, 4.764216774752974, 4.7617273099603787, 4.7592742660190277, 4.7568912018312322, 4.7546133311939522, 4.7524773100949078, 4.7505209651197573, 4.7487829571004161, 4.7473023754378518, 4.7461182605142351, 4.7452690543757461, 4.744791983483899, 4.7447223818212576, 4.7450929679234282, 4.7459330953232062, 4.7472680021205784, 4.7491180914769933, 4.7514982801659942, 4.7544174561686008, 4.7578780878908642, 4.7618760261334723, 4.7664005348442702, 4.7714345775906466, 4.7769553736702859, 4.7829352214157508, 4.7893425676544927, 4.7961432830647182, 4.8033020852535477, 4.8107840368032786, 4.8185560361093112, 4.8265882159024063, 4.83485516851208, 4.8433369279318219, 4.8520196555167106, 4.8608959969075514, 4.8699651003819007, 4.8792323090173291, 4.8887085587965604, 4.8984095305250159, 4.908354614223077, 4.9185657501895239, 4.9290662114792454, 4.9398793888018862, 4.9510276318071336, 4.9625311914627401, 4.9744072978023057, 4.986669396645472, 4.9993265587024345, 5.012383065294542, 5.0258381670812469, 5.0396860058377539, 5.0539156845020177, 5.0685114673310778, 5.0834530899394084, 5.0987161580630556, 5.1142726139161798, 5.1300912497952877, 5.1461382499604129, 5.162377743622498, 5.1787723539446118, 5.1952837301985548, 5.2118730525012378, 5.2285015007994753, 5.2451306819112462, 5.2617230104091295, 5.2782420409166697, 5.2946527509510553, 5.3109217747796418, 5.3270175898569079, 5.3429106582848309, 5.3585735264006198, 5.3739808860647758, 5.3891096015159015, 5.4039387058049169, 5.4184493708369565, 5.4326248549656055, 5.446450431915439, 5.4599133045810655, 5.4730025069788955, 5.4857087973287113, 5.498024544929434, 5.5099436131761887, 5.5214612407575139, 5.5325739227719959, 5.5432792932250115, 5.5535760101072098, 5.5634636440203797, 5.5729425711054494, 5.5820138708396794, 5.5906792291070566, 5.5989408468053936, 5.6068013541328714, 5.6142637305992196, 5.6213312307219443, 5.6280073153045915, 5.6342955881402039, 5.6401997379455464, 5.6457234853016578, 5.6508705343588304, 5.6556445290515303, 5.6600490135651063, 5.6640873967972967, 5.6677629205628071, 5.6710786312985944, 5.67403735504125, 5.6766416754607993, 5.6788939147538589, 5.6807961172160839, 5.682350035333684, 5.6835571182545692, 5.6844185025190388, 5.6849350049524121, 5.6851071176433523, 5.6850210675519879, 5.6847629100944737, 5.6843326238221632, 5.6837301733271755, 5.6829555097522491, 5.6820085715059108, 5.6808892851827926, 5.6795975666911165, 5.6781333225877546, 5.6764964516231604, 5.6746868464969609, 5.6727043958266448, 5.6705489863311271, 5.6682205052311811, 5.6657188428691798, 5.6630438955501763, 5.6601955686071008, 5.6571737796916928, 5.6539784622946065, 5.6506095694962726, 5.6470670779508634, 5.6433509921056304, 5.6394613486582106, 5.6353982212520783, 5.6311617254136195, 5.6267520237306865, 5.622169331273982, 5.6174139212616812, 5.6124861309671745, 5.6073863678696192, 5.6021151160457237, 5.5966729428010114, 5.5910605055381311, 5.5852785588586071, 5.5793279618935596, 5.5732096858582869, 5.5669248218239105, 5.5604745886990488, 5.5538603414119896, 5.5470835792834281, 5.5401459545784588, 5.5330492812235708, 5.5257955436748443, 5.518386905919666, 5.5108257205940454, 5.5031145381939499, 5.495256116358747, 5.4872534292006154, 5.4791096766530192, 5.4708282938070578, 5.4624129602033324, 5.453867609042681, 5.4451964362768948, 5.4364039095361525, 5.4274947768478787, 5.4184740750962748, 5.4093471381687017, 5.4001196047310955, 5.3907974255692039, 5.381386870428682, 5.3718945342815978, 5.3623273429414668, 5.352692557944855, 5.3429977806098776, 5.3332509551786549, 5.3234603709423771, 5.3136346632441267, 5.3037828132465137, 5.2939141463469364, 5.284038329116818, 5.2741653646361568, 5.2643055860899519, 5.2544696484890432, 5.2446685183751001, 5.2349134613669008, 5.2252160274055219, 5.2155880335571494, 5.2060415442358563, 5.1965888487149261, 5.187242435804948, 5.178014965589079, 5.1689192381225375, 5.1599681590242916, 5.1511747019143854, 5.1425518676799253, 5.1341126405895139, 5.1258699413158375, 5.1178365769733238, 5.1100251883283043, 5.1024481943976436, 5.095117734710561, 5.0880456095754427, 5.0812432187596359, 5.0747214990589313, 5.0684908613040314, 5.0625611274152185, 5.0569414681821359, 5.0516403424997911, 5.0466654388410594, 5.0420236197818689, 5.0377208704189904, 5.0337622515274782, 5.0301518582942677, 5.0268927854349643, 5.0239870994501663, 5.0214358187062995, 5.019238901933293, 5.0173952456191131, 5.0159026906499129, 5.0147580383986199, 5.0139570763050791, 5.0134946128235187, 5.0133645214416811, 5.013559793305177, 5.014072597815928, 5.01489435042033, 5.0160157866644486, 5.0174270414770836, 5.0191177325467642, 5.0210770465927865, 5.0232938272909884, 5.0257566636069875, 5.0284539773081844, 5.0313741084745089, 5.0345053979004941, 5.0378362653766713, 5.0413552829527628, 5.0450512424136358, 5.0570932195308895, 5.0703567075448914, 5.0846030026007911, 5.0996336174567967, 5.1152898461339271, 5.1314485715228564, 5.1480154629561632, 5.1649166596904283, 5.1820898521786196, 5.1994754416970252, 5.2170082443653429, 5.234610044375283, 5.2521832053412334, 5.2696055124183232, 5.2867264246125423, 5.3033649444313866, 5.3193093368706927, 5.3343189291108004, 5.3481281776293814, 5.3604530891479518, 5.3709999242779043, 5.3794759083133039, 5.3856014450179366, 5.3891231089948892, 5.3898265174774123, 5.3875480878169348, 5.3821846974271983, 5.3737003878891185, 5.3621294858009589, 5.3475758244124254, 5.3302081040488183, 5.3102517811211101, 5.2879781806660358, 5.2636917482961731, 5.2377164691770943, 5.2103824756393724, 5.1820137502762407, 5.1529176323278207, 5.1233765865643122, 5.0936424338250745, 5.0639330051285389, 5.0344309918943972, 5.0052846364855048, 4.9766098415250806, 4.9484932657166887, 4.9209960051415704, 4.8941575173343068, 4.8679995169453205, 4.8425296453420872, 4.8177447843539971, 4.7936339421071716, 4.7701806847902501, 4.7473651224193656, 4.7251654805620324, 4.7035593053938634, 4.6825243583424569, 4.6620392606678944, 4.6420839490402166, 4.6226400015099438, 4.6036908898647484, 4.5852222095209374, 4.5672219318672207, 4.5496807162431203, 4.5325923092881277, 4.5159540480623273, 4.4997674700216459, 4.4840390177422504, 4.4687808095948629, 4.4540114300727902, 4.4397566762168585, 4.4260501809438484, 4.4129338217254084, 4.4004578157871741, 4.3886804025912518, 4.3776670224210861, 4.3674889176484157, 4.3582211115891178, 4.3499397594173681, 4.3427189173633289, 4.3366268424715706, 4.3317220199747943, 4.3280492268198403, 4.3256360904373077, 4.3244908075398127, 4.3246019644912508, 4.3259417544329617, 4.3284742922220882, 4.3321710948289809, 4.3370359075542302, 4.3431405081756509, 4.3506712685462849, 4.3599823034000096, 4.3716444603208808, 4.3864708901382805, 4.4054927695010759, 4.4298595580299951, 4.4606547268869114, 4.4986521319662156, 4.5440778215228601, 4.5964612317269617, 4.6546368909982663, 4.716898885996005, 4.7812503405601365, 4.8456647537825415, 4.9082928669050441, 4.9675872933313912, 5.0223515033888475, 5.0717368653561259, 5.1152126405930085, 5.1525267246488031, 5.1836663412511355, 5.2088214190785784, 5.228349917446609, 5.2427434235288333, 5.2525919686913936, 5.258548269428001, 5.2612927688299056, 5.2615015066927615, 5.2598188444913774, 5.2568365200880418, 5.2530796503184201, 5.248999407875508, 5.2449713806137641, 5.2412981821253686, 5.2382147298078268, 5.23589468310767, 5.2344567569348976, 5.233969915683816, 5.2342949961425882, 5.2352614625611995, 5.2368426082227195, 5.2389926721855176, 5.2416450472238854, 5.2447099421905916, 5.2480716827202087, 5.2515859006434491, 5.2550769319537087, 5.258335808306267, 5.2611192764794756, 5.2631502994166031, 5.2641204657433995, 5.2636946488632219, 5.2615181059892562, 5.2572259979922995, 5.2504550642711223, 5.2408569394965063, 5.2281123970854004, 5.2119456928152248, 5.1921381920956389, 5.168540600536276, 5.1410833504949132, 5.1097849650606859, 5.0747584426542227, 5.0362157935254208, 4.9944707453709158, 4.9499392922118242, 4.9031372269262761, 4.85467319761245, 4.8052353799275771, 4.7555698536227871, 4.70644950271521, 4.6586338780953085, 4.6128228151667336, 4.5696091194348574, 4.529437416445445, 4.492576400406282, 4.4591097715107058, 4.4289475084282239, 4.4018549219986109, 4.3774935777806112, 4.3554666568759028, 4.3353618375474801, 4.3167867634491692, 4.2993947035601048, 4.282900284029747, 4.2670867173496418, 4.251806680297447, 4.2369790590894301, 4.2225834405157938, 4.2086537136658526, 4.1952716200500157, 4.1825606385860272, 4.1706802492848327, 4.1598203872258326, 4.1501957652251988, 4.1420396963439021, 4.1355970758245961, 4.1311162787403628, 4.1288398869375973, 4.1289943646453304, 4.1317790360371385, 4.1373549496795317, 4.1458344055239964, 4.1572720288023817, 4.1716582675955971, 4.1889160498681175, 4.2089010694308717, 4.2314058138785402, 4.2561670578925135, 4.2828761883214757, 4.3111914624179031, 4.3407511662343445, 4.3711866469923928, 4.4021343240584843, 4.4332460007173289, 4.464197057170936, 4.4946923604542324, 4.52446994602027, 4.5533026893942017, 4.5809982888946399, 4.6073979268140945, 4.6323739777961475, 4.6558271030265539, 4.6776830203474873, 4.6978891843459536, 4.7164115547787064, 4.733231581408063, 4.7483434910575708, 4.7617519292702317, 4.77346998396908, 4.7835176008926483, 4.7919203888475685, 4.7987088054328941, 4.8039177092884175, 4.8075862616329612, 4.8097581564927552, 4.8104821542878327, 4.8098128861482641, 4.8078118854507563, 4.8045487878323536, 4.8001026210489792, 4.794563081916789, 4.7880316706770349, 4.7806225263350717, 4.7724627843866898, 4.7636922670771638, 4.7544623234148364, 4.7449336692278745, 4.735273142637884, 4.7256493894434479, 4.716227621549451, 4.7071637369262698, 4.6985982304728804, 4.6906504346792142, 4.68341367983823, 4.6769519352361888, 4.671298378420472, 4.6664561501874546, 4.66240131608021, 4.6590878094600443, 4.6564539163987941, 4.654429710013229, 4.6529447675221549, 4.6519355066117782, 4.651351544706305, 4.6511605948346153], [5.2394567411030009, 5.2398211572329272, 5.2408929573374161, 5.2426071206671043, 5.2448530805594027, 5.2474716162431889, 5.2502508805436108, 5.2529219373641824, 5.2551542734638108, 5.256551815291556, 5.2566500103233604, 5.2549145140133957, 5.2507419603019567, 5.2434632096029752, 5.2323494204930272, 5.2166213813099276, 5.1954629202642426, 5.1680401002378984, 5.1335295599202349, 5.0911620514998672, 5.0402910557763132, 4.9805008548535863, 4.9117715988713435, 4.8347154620606343, 4.7508775465368824, 4.6630433531065583, 4.5754053694257042, 4.4933493125474779, 4.4226357156520191, 4.3680141465114817, 4.3317779758102866, 4.313056737376221, 4.3083150359778903, 4.3127499684072408, 4.3217794698051595, 4.3319840079322756, 4.3413695173651705, 4.3491714354686346, 4.3554815976529033, 4.360884295642232, 4.366178118488901, 4.3721925956850827, 4.3796811679343577, 4.3892671089448418, 4.4014229740887556, 4.4164698905680009, 4.4345878729331325, 4.4558317841323634, 4.480149759189465, 4.5074022261774873, 4.5373804171994472, 4.5698236925874243, 4.6044352550538212, 4.640895995899303, 4.6788763392068828, 4.7180460525212577, 4.7580820796325387, 4.7986745221699412, 4.8395309497155532, 4.8803792520544302, 4.9209692628015489, 4.9610733834592295, 5.0004864244634177, 5.0390248588190447, 5.0765256581395617, 5.1128448533540318, 5.1478559353682538, 5.1814481861810702, 5.21352500932311, 5.2440023104675078, 5.2728069647528759, 5.299875396609667, 5.3251522904207711, 5.3485894458438246, 5.3701447897565471, 5.3897815572691723, 5.407467656839728, 5.4231752390409209, 5.4368804947996381, 5.4485637167894234, 5.458209666866904, 5.4658083026192354, 5.4713559265564484, 5.4748568311386014, 5.476325519885882, 5.4757895865689026, 5.4732933269644688, 5.4689021354288121, 5.462707694511062, 5.4548338915301233, 5.4454432825411168, 5.4347437640314578, 5.4229949037817358, 5.4105131329358782, 5.3976747373002443, 5.3849153575365243, 5.3727245935442021, 5.3616344091433934, 5.3522004533723599, 5.3449762233925053, 5.3404811733716215, 5.3391652713889304, 5.3413738214879807, 5.3473172017009389, 5.3570501478709289, 5.3704641515973215, 5.3872945655545577, 5.4071415689461197, 5.4295018713288847, 5.4538065077411737, 5.4794596248363998, 5.5058737484300684, 5.5324983395978995, 5.5588400422970139, 5.5844744942364422, 5.6090506565182965, 5.6322892306899792, 5.6539769221837535, 5.6739581951152429, 5.6921258773994721, 5.7084116278004418, 5.7227769429300679, 5.7352051029125812, 5.7456942437282237, 5.7542516000290282, 5.7608888741224042, 5.7656186419215736, 5.7684516927171909, 5.7693952065094445, 5.769231100770047, 5.7687386311129298, 5.7679173409823052, 5.7667664719978839, 5.7652849678037139, 5.763471479515923, 5.76132437282953, 5.7588417368603126, 5.7560213948153409, 5.7528609166032094, 5.7493576335094474, 5.7455086550819816, 5.7413108883840831, 5.736761059790517, 5.7318557395143905, 5.7265913690670596, 5.7209642918643286, 5.7149707872017448, 5.7086071078301472, 5.7018695213646886, 5.6947543557633189, 5.6872580491048899, 5.6793772038878592, 5.6711086460554343, 5.6624494889270558, 5.6533972021870085, 5.6439496860347074, 5.63410535054948, 5.6238632002549203, 5.6132229237850755, 5.6021849884590456, 5.5907507394535374, 5.5789225031310412, 5.566703693927546, 5.5540989240311935, 5.5411141148897434, 5.527756609373502, 5.5140352831881909, 5.4999606538882873, 5.4855449855821856, 5.470802387156902, 5.4557489015853466, 5.4404025836239844, 5.4247835629708137, 5.4089140897500219, 5.39281855902862, 5.3765235109745202, 5.3600576032479816, 5.3434515523012811, 5.3267380404624385, 5.3099515860207482, 5.2931283740283561, 5.2763060462045761, 5.2595234491855978, 5.2428203414114707, 5.2262370601810977, 5.2098141518261887, 5.1935919695324415, 5.1776102450376698, 5.161907642209326, 5.1465213022812426, 5.1314863922284459, 5.1168356692751917, 5.1025990757496711, 5.0888033792878238, 5.0754718736105229, 5.0626241546166089, 5.0502759852214201, 5.0384392601274479, 5.0271220784803514, 5.0163289281460326, 5.0060609802245466, 4.9963164865802501, 4.9870912669061918, 4.9783792655585266, 4.9701731525920154, 4.9624649386623201, 4.9552465703101563, 4.9485104711173022, 4.9422499957105313, 4.9364597677453759, 4.9311358797298244, 4.9262759414324853, 4.9218789739748665, 4.9179451576108866, 4.9144754516162017, 4.9114711136258968, 4.908933152307787, 4.9068617508502976, 4.9052556991377863, 4.9041118698175872, 4.9034247681936165, 4.9031861787263784, 4.9033849227235837, 4.9040067334252164, 4.9050342468804411, 4.9064471003705057, 4.9082221250227605, 4.9103336158470086, 4.912753660666958, 4.9154525091466654, 4.9183989640396204, 4.9215607786066702, 4.924905046538858, 4.9283985733880398, 4.9320082212234384, 4.9357012208045425, 4.9394454478733021, 4.9432096621462662, 4.9469637092013237, 4.950678686706981, 4.9543270773596877, 4.9578828515164286, 4.961321542879265, 4.9646203007561702, 4.9677579224295521, 4.970714869054377, 4.9734732683140459, 4.9760169068142073, 4.9783312149163494, 4.9804032464191694, 4.9822216552031833, 4.9837766706675897, 4.9850600735177029, 4.9860651732055254, 4.9867867880891188, 4.9872212291558942, 4.987366287950632, 4.987221229155872, 4.9867867880890966, 4.9860651732055414, 4.9850600735176922, 4.9837766706675852, 4.9822216552031708, 4.9804032464191854, 4.978331214916369, 4.9760169068142339, 4.9734732683140335, 4.9707148690543859, 4.9677579224295352, 4.9646203007561551, 4.9613215428792765, 4.9578828515164419, 4.9543270773597001, 4.9506786867069552, 4.9469637092013032, 4.9432096621462582, 4.9394454478733056, 4.9357012208045381, 4.9320082212234402, 4.9283985733880336, 4.9249050465388633, 4.9215607786066515, 4.9183989640396026, 4.9154525091466965, 4.9127536606669384, 4.9103336158469784, 4.9082221250227525, 4.9064471003704888, 4.9050342468804526, 4.9040067334252297, 4.9033849227235793, 4.903186178726374, 4.9034247681936494, 4.9041118698175872, 4.9052556991377791, 4.9068617508503243, 4.9089331523078146, 4.9114711136258817, 4.9144754516162061, 4.9179451576108866, 4.9218789739748452, 4.9262759414325048, 4.9311358797298093, 4.9364597677453954, 4.942249995710517, 4.9485104711173076, 4.9552465703101429, 4.9624649386623254, 4.9701731525920056, 4.9783792655585435, 4.9870912669061926, 4.9963164865802527, 5.0060609802245493, 5.0163289281460219, 5.0271220784803603, 5.0384392601274532, 5.0502759852214192, 5.0626241546165964, 5.0754718736105175, 5.0888033792878211, 5.1025990757496817, 5.1168356692752024, 5.1314863922284486, 5.1465213022812444, 5.1619076422093384, 5.1776102450376769, 5.1935919695324388, 5.2098141518261887, 5.2262370601810915, 5.2428203414114538, 5.2595234491855951, 5.2763060462045903, 5.2931283740283686, 5.3099515860207624, 5.3267380404624323, 5.3434515523012722, 5.3600576032479887, 5.3765235109745317, 5.3928185590286404, 5.4089140897500556, 5.4247835629708394, 5.4404025836240013, 5.4557489015853537, 5.4708023871569074, 5.4855449855821981, 5.4999606538883059, 5.514035283188214, 5.527756609373526, 5.5411141148897665, 5.5540989240311971, 5.5667036939275825, 5.5789225031310448, 5.5907507394535632, 5.6021849884590722, 5.6132229237850852, 5.6238632002549283, 5.6341053505495129, 5.6439496860347189, 5.6533972021870289, 5.6624494889270549, 5.6711086460554334, 5.6793772038878716, 5.6872580491048774, 5.694754355763302, 5.7018695213646771, 5.7086071078301401, 5.714970787201759, 5.720964291864302, 5.7265913690670764, 5.7318557395143834, 5.7367610597904921, 5.7413108883840813, 5.7455086550819825, 5.749357633509443, 5.7528609166031988, 5.7560213948153454, 5.758841736860302, 5.7613243728295487, 5.763471479515915, 5.7652849678037263, 5.766766471997907, 5.7679173409822999, 5.7687386311129361, 5.7692311007700567, 5.7693952065094658, 5.7693131593780418, 5.7690670105830986, 5.7686567379967721, 5.7680823049876597, 5.7673436607933724, 5.7664407410433691, 5.7653734684319558, 5.7641417535431945, 5.7627454958281952, 5.7611845847369043, 5.7594589010051473, 5.7575683180992918, 5.7555127038202398, 5.7532919220688727, 5.7509058347753825, 5.7483543039947005, 5.7456371941711506, 5.7427543745742859, 5.7397057219098482, 5.7364911231082401, 5.7331104782936553, 5.7295637039374077, 5.7258507361992068, 5.7219715344585245, 5.7179260850412321, 5.7137144051438664, 5.7093365469596149, 5.7047926020094479, 5.7000827056821066, 5.6952070419866061, 5.6901658485204649, 5.6849594216572008, 5.6795881219565851, 5.6740523798006688, 5.6683527012584989, 5.6624896741825443, 5.6564639745390499, 5.6502763729750187, 5.6439277416231954, 5.6374190611466695, 5.6307514280246327, 5.6239260620786, 5.6169443142402233, 5.6098076745587022, 5.6025177804469379, 5.5950764251628264, 5.5874855665228731, 5.5797473358423275, 5.5718640470960796, 5.5638382062915941, 5.5556725210446372, 5.5473699103455063, 5.5389335145017027, 5.5303667052396435, 5.5216730959461771, 5.5128565520258714, 5.5039212013470271, 5.4948714447453835, 5.485711966548612, 5.4764477450805016, 5.4670840630971522, 5.4576265181007182, 5.4480810324701689, 5.4384538633386779, 5.428751612140891, 5.4189812337414747, 5.4091500450485697, 5.3992657330027409, 5.3893363618220942, 5.3793703793711005, 5.3693766225082262, 5.3593643212543212, 5.3493431016103088, 5.3393229868395347, 5.3293143970164465, 5.3193281466312845, 5.3093754400286528, 5.2994678644474487, 5.2896173804213955, 5.2798363092939447, 5.2701373175981532, 5.2605333980535409, 5.2510378469377024, 5.241664237601583, 5.2324263899139796, 5.2233383354456162, 5.2144142782342389, 5.2056685510123275, 5.1971155668270583, 5.1887697660408332, 5.1806455587659537, 5.1727572628643292, 5.1651190377264875, 5.1577448141358992, 5.1506482206245083, 5.143842506826239, 5.137340464443235, 5.1311543465437017, 5.1252957860141724, 5.119775714084871, 5.1146042799344551, 5.1097907724532288, 5.1053435453001157, 5.1012699464240772, 5.0975762532316811, 5.0942676145669665, 5.0913480006248175, 5.0888201618449704, 5.0866855977279855, 5.0849445363810588, 5.0835959254393259, 5.0826374348230923, 5.0820654715861702, 5.0818752068915005, 5.0820606149221188, 5.0826145233078792, 5.0835286744240342, 5.0847937967086221, 5.086399684953161, 5.0883352883559789, 5.0905888049905945, 5.0931477812407771, 5.0959992146872448, 5.0991296589041948, 5.1025253286333152, 5.1061722038481783, 5.110056131300956, 5.1141629222506904, 5.1276799609411405, 5.1427067746904092, 5.1589019966715632, 5.1759640612552253, 5.1936367259729019, 5.2117093007205018, 5.2300127285411104, 5.2484128126510798, 5.2668018037915472, 5.2850893517150119, 5.3031935743215666, 5.3210327697743969, 5.3385181231803402, 5.3555476481472848, 5.372001546309118, 5.3877391471150364, 5.4025975844236704, 5.4163923544648771, 5.4289198633558495, 5.4399619990132164, 5.4492926473090328, 5.4566859205395151, 5.4619256926063455, 5.4648158632901502, 5.4651906323505681, 5.4629239815556785, 5.457937561656566, 5.4502062728341443, 5.4397610074989462, 5.4266882746344587, 5.4111267139204191, 5.3932607974277671, 5.3733122682226044, 5.3515300466216784, 5.3281794257162334, 5.3035313724700925, 5.2778526583290173, 5.2513973850321491, 5.2244002755512433, 5.1970718966304013, 5.1695957943000295, 5.1421273755775649, 5.1147942679205798, 5.0876978339011885, 5.0609155064791169, 5.0345036306384792, 5.0085005390977333, 4.9829296429934526, 4.9578023744520356, 4.933120870777687, 4.9088803359622055, 4.8850710527100913, 4.86168004698437, 4.8386924279561052, 4.8160924403902134, 4.7938642752606597, 4.7719926889997897, 4.7504634832623669, 4.7292638961594378, 4.7083829530533654, 4.6878118204129242, 4.6675441999400098, 4.6475767921163493, 4.6279098483540695, 4.6085478190092442, 4.5895000906939805, 4.5707817908904946, 4.5524146213993228, 4.5344276655565245, 4.5168580986796689, 4.4997517184173494, 4.4831632033538771, 4.4671560061876132, 4.4518017937273564, 4.4371793611378081, 4.4233729730797986, 4.4104701198582354, 4.3985587223456832, 4.3877238755176471, 4.3780442883930597, 4.3695886619721538, 4.3624123539500594, 4.3565548211735559, 4.3520385222704716, 4.3488702155944772, 4.3470458999956536, 4.3465609815005433, 4.3474275011183101, 4.3497002004184067, 4.3535124298545291, 4.3591208260352099, 4.3669536342898567, 4.3776512260103893, 4.3920796925339047, 4.4112927307661813, 4.436419539058118, 4.4684737954964646, 4.5081118369076298, 4.5554047387324541, 4.6097052084682613, 4.6696666532898803, 4.7334143940696265, 4.798810507088322, 4.8637283580639874, 4.9262688810439235, 4.9848890816142521, 5.0384485732597337, 5.0861984144710473, 5.1277386662677484, 5.1629643526621116, 5.192010908132735, 5.2152035467110238, 5.2330112637665938, 5.2460048564635526, 5.2548184427327165, 5.2601145866137866, 5.2625537049884477, 5.2627686494736317, 5.2613451863649692, 5.2588086500609421, 5.2556164943446966, 5.2521559693421276, 5.2487458106100924, 5.245640674393905, 5.2430370702672162, 5.2410796806346465, 5.2398671611109844, 5.2394567411030009, 5.2397308034226242, 5.2405459323962216, 5.2418806346435165, 5.2436980377008595, 5.2459443672279562, 5.2485469247966199, 5.2514116862777058, 5.2544206875720363, 5.2574294163449133, 5.2602644820043309, 5.2627218852503237, 5.2645662444260823, 5.2655313481793486, 5.2653223820147925, 5.2636201120017256, 5.2600871994314407, 5.2543766711212427, 5.2461423967216581, 5.2350512511387377, 5.2207964962232909, 5.203111828004606, 5.1817855193726103, 5.1566741389646822, 5.1277154163869794, 5.0949399001685274, 5.0584810528352753, 5.0185832861200641, 4.9756071267998241, 4.9300302472897437, 4.8824426092092539, 4.8335336659438646, 4.7840697389163944, 4.7348605984936576, 4.6867160637870748, 4.6403958830584235, 4.5965586575826185, 4.5557172214363186, 4.51820783661557, 4.4841784655149102, 4.4535976984349519, 4.4262817856805059, 4.4019339774450135, 4.380188914862333, 4.360655284990548, 4.3429518106887866, 4.3267340433084165, 4.3117116032167075, 4.2976570327787371, 4.2844081914486818, 4.2718662654338413, 4.2599912079293274, 4.2487959820205141, 4.2383404999545382, 4.2287257272073244, 4.2200880845990678, 4.2125940429461526, 4.2064346548586986, 4.2018196968165293, 4.1989710933747055, 4.1981153591114388, 4.1994749184992948, 4.2032583420500105, 4.2096497545551506, 4.2187979036138676, 4.2308055891823351, 4.2457203062369624, 4.2635270026426326, 4.2841437745280579, 4.3074211054779052, 4.3331449254035084, 4.3610433687554346, 4.3907967159915398, 4.4220496751685605, 4.4544249558186024, 4.4875370315715948, 4.5210050767180192, 4.5544642637728874, 4.5875748768753368, 4.6200289792780449, 4.6515546298788548, 4.6819178456795685, 4.7109226420269144, 4.7384095517995766, 4.7642530387701747, 4.7883581940285556, 4.8106570529830526, 4.8311048074392433, 4.8496761227581278, 4.8663617108415407, 4.8811652593921195, 4.8941007779252788, 4.9051903911395138, 4.9144625892913183, 4.9219509314662773, 4.9276931892170026, 4.9317309130616129, 4.9341094010108879, 4.9348780449221383, 4.9340910255010861, 4.9318083187491819, 4.9280969643600638, 4.9230325291028425, 4.9167006752607172, 4.9091987162649886, 4.9006370106031385, 4.8911400143831676, 4.8808467880622883, 4.8699107411499112, 4.8584984088389298, 4.8467870950982981, 4.834961294102345, 4.8232079172417786, 4.8117104997863542, 4.8006427234569315, 4.7901617436336403, 4.7804019222328948, 4.7714696102000209, 4.7634395771961904, 4.7563535469635738, 4.7502210812890828, 4.7450227969883318, 4.7407156418542904, 4.7372397386187055, 4.7345261607592111, 4.7325049431292321, 4.731112648937625, 4.7302988947648243, 4.7300313539546455], [5.2346378581091528, 5.2349516626385899, 5.2358737807339866, 5.2373457091807012, 5.2392679218286391, 5.2414969611275843, 5.2438416120140694, 5.2460584025415633, 5.2478467389553396, 5.2488440349862522, 5.2486212300339581, 5.2466791059395979, 5.2424458134139149, 5.2352760300286523, 5.2244522425603845, 5.2091888681149694, 5.188640445868856, 5.1619161558816993, 5.1281047294154396, 5.0863166975741336, 5.0357550049586361, 4.9758297575754185, 4.9063360192329775, 4.8277093257085522, 4.741350879949799, 4.6499589333470759, 4.5577113948183081, 4.4700578350823674, 4.392908603166557, 4.3312777521092531, 4.2878798362188313, 4.2624210546560501, 4.2520005060855386, 4.2523432019938134, 4.2591554074319138, 4.2690338733372224, 4.2797863067766873, 4.290328445913441, 4.3003936684084616, 4.3102233240174526, 4.3203161658182179, 4.33125468742415, 4.3435981256145979, 4.3578241253707883, 4.374302447306655, 4.3932882252494778, 4.4149263575008195, 4.43926175935185, 4.4662523502499658, 4.4957829960305151, 4.5276794142585217, 4.5617214818965497, 4.5976556087629623, 4.6352059576206068, 4.6740843627128159, 4.7139988548118001, 4.7546607550304598, 4.7957903534878952, 4.8371212391542793, 4.8784033895198213, 4.9194051599018556, 4.9599143308680702, 4.9997383788723049, 5.0387041315585783, 5.0766569577987077, 5.1134596260656737, 5.1489909456809508, 5.1831442858541203, 5.2158260487746402, 5.2469541563525954, 5.2764565961448451, 5.3042700608206648, 5.3303387072769262, 5.3546130561156584, 5.3770490494918297, 5.3976072851441783, 5.4162524465532869, 5.4329529534584289, 5.4476808632277747, 5.4604120615851368, 5.4711267906087775, 5.4798105721770005, 5.4864555952069107, 5.4910626436374104, 5.4936436468340375, 5.4942249315398639, 5.4928512398663107, 5.4895905447305582, 5.484539634720913, 5.4778303458203439, 5.4696361796032882, 5.4601788618257494, 5.4497341653158013, 5.4386360647412815, 5.4272780475566087, 5.4161102409531816, 5.4056310196257868, 5.3963720355993781, 5.3888762422064307, 5.3836694877413427, 5.3812275347947258, 5.3819416822905239, 5.3860871759803617, 5.3937989139393574, 5.4050583327868713, 5.4196938032515423, 5.4373946862512881, 5.4577369477962696, 5.4802164843070047, 5.50428547415535, 5.5293872441031269, 5.5549861186147842, 5.5805901247648819, 5.6057658557968963, 5.6301459570099306, 5.6534304480671489, 5.6753834343547398, 5.6958267723869591, 5.7146320583585499, 5.7317120147635068, 5.7470120394638702, 5.7605024045316835, 5.7721713715061505, 5.7820193297722531, 5.7900539594738678, 5.7962863591372358, 5.8007280497607052, 5.8033887616152935, 5.8042749195632233, 5.8041171183302191, 5.8036435708164715, 5.8028538461671273, 5.8017472282631628, 5.8003227187041295, 5.7985790410325482, 5.7965146462489443, 5.7941277196800653, 5.7914161892772622, 5.78837773543711, 5.7850098024487968, 5.7813096116899976, 5.7772741767045881, 5.7729003203128553, 5.7681846939164965, 5.7631237991768325, 5.7577140122568622, 5.7519516108309556, 5.74583280407857, 5.739353765887147, 5.7325106715002727, 5.7252997378520565, 5.7177172678332875, 5.7097596987358123, 5.7014236551161384, 5.692706006313399, 5.683603928839136, 5.6741149738368817, 5.6642371397793614, 5.653968950531155, 5.6433095388565393, 5.6322587353886666, 5.620817163002215, 5.6089863364406556, 5.5967687669430228, 5.5841680714903585, 5.5711890861500679, 5.5578379828325968, 5.5441223885941868, 5.5300515064158269, 5.51563623616837, 5.5008892942344669, 5.4858253300048272, 5.4704610372007334, 5.4548152577049045, 5.4389090753110807, 5.4227658965419172, 5.406411515441282, 5.3898741590352, 5.3731845099869275, 5.3563757028648133, 5.3394832904088982, 5.3225451762465914, 5.3056015106839176, 5.2886945465081343, 5.2718684521954229, 5.2551690805407389, 5.2386436915260921, 5.2223406292271939, 5.2063089537245135, 5.1905980303253427, 5.175257079900117, 5.1603346957553127, 5.1458783341617469, 5.1319337873691824, 5.1185446495882543, 5.1057517879151852, 5.0935928314080057, 5.0821016923778481, 5.0713081343169835, 5.0612374006333383, 5.0519099174031759, 5.0433410816250426, 5.0355411439408133, 5.0285151915251145, 5.022263232944697, 5.0167803824431605, 5.0120571365763444, 5.0080797317246519, 5.0048305670974713, 5.0022886747615614, 5.000430216278831, 4.9992289849348701, 4.9986568933741129, 4.9986844286721004, 4.9992810602716036, 5.0004155904615342, 5.0020564417754665, 5.0041718803850657, 5.0067301788416536, 5.0096997250338324, 5.013049086744199, 5.0167470426019865, 5.0207625905666635, 5.0250649444710547, 5.0296235278103385, 5.0344079721334918, 5.0393881253263908, 5.0445340729977781, 5.0498161742660077, 5.055205111630162, 5.0606719533538884, 5.0661882259220103, 5.0717259936299817, 5.0772579421834223, 5.0827574632680683, 5.0881987373235527, 5.0935568121590862, 5.0988076755247285, 5.1039283202513879, 5.1088968010591405, 5.1136922825804128, 5.1182950785365202, 5.1226866823320032, 5.1268497895922183, 5.1307683133638839, 5.13442739283464, 5.1378133965101487, 5.1409139208251098, 5.1437177851660518, 5.146215024253892, 5.1483968787831547, 5.1502557851448003, 5.1517853649784868, 5.1529804152093419, 5.1538368991285015, 5.1543519389771992, 5.1545238103933935, 5.154351938977177, 5.153836899128482, 5.1529804152093526, 5.1517853649784779, 5.1502557851447985, 5.1483968787831458, 5.146215024253908, 5.143717785166074, 5.1409139208251347, 5.1378133965101336, 5.1344273928346507, 5.1307683133638671, 5.1268497895922112, 5.1226866823320192, 5.1182950785365318, 5.1136922825804252, 5.1088968010591165, 5.1039283202513674, 5.0988076755247187, 5.0935568121590915, 5.0881987373235544, 5.0827574632680701, 5.0772579421834161, 5.0717259936299817, 5.0661882259219881, 5.0606719533538733, 5.0552051116301913, 5.0498161742659837, 5.0445340729977488, 5.0393881253263793, 5.034407972133474, 5.0296235278103527, 5.0250649444710698, 5.0207625905666573, 5.0167470426019873, 5.0130490867442363, 5.0096997250338369, 5.0067301788416492, 5.0041718803850923, 5.0020564417754922, 5.0004155904615182, 4.9992810602716125, 4.9986844286720995, 4.9986568933740863, 4.9992289849348959, 5.0004302162788177, 5.0022886747615818, 5.0048305670974589, 5.0080797317246581, 5.0120571365763338, 5.0167803824431623, 5.022263232944689, 5.0285151915251314, 5.0355411439408169, 5.0433410816250461, 5.0519099174031812, 5.0612374006333267, 5.0713081343169888, 5.0821016923778553, 5.0935928314080074, 5.1057517879151799, 5.1185446495882481, 5.1319337873691806, 5.1458783341617504, 5.1603346957553251, 5.1752570799001152, 5.1905980303253463, 5.2063089537245286, 5.2223406292271983, 5.2386436915260859, 5.2551690805407434, 5.2718684521954255, 5.2886945465081183, 5.3056015106839105, 5.3225451762466012, 5.339483290408908, 5.3563757028648258, 5.373184509986924, 5.3898741590351973, 5.4064115154412891, 5.4227658965419234, 5.4389090753111011, 5.4548152577049391, 5.4704610372007574, 5.4858253300048414, 5.5008892942344714, 5.5156362361683771, 5.5300515064158358, 5.5441223885942037, 5.5578379828326172, 5.5711890861500857, 5.584168071490379, 5.5967687669430299, 5.6089863364406893, 5.6208171630022159, 5.6322587353886897, 5.6433095388565677, 5.6539689505311665, 5.6642371397793765, 5.6741149738369119, 5.6836039288391449, 5.6927060063134158, 5.7014236551161384, 5.7097596987358123, 5.7177172678333026, 5.7252997378520494, 5.7325106715002541, 5.7393537658871372, 5.745832804078562, 5.7519516108309663, 5.7577140122568409, 5.7631237991768494, 5.7681846939164885, 5.7729003203128268, 5.7772741767045881, 5.7813096116899931, 5.7850098024487941, 5.788377735437102, 5.791416189277264, 5.7941277196800556, 5.796514646248963, 5.7985790410325384, 5.8003227187041437, 5.8017472282631797, 5.8028538461671193, 5.8036435708164751, 5.8041171183302289, 5.804274919563249, 5.8041960242416124, 5.8039593298761281, 5.8035648113202623, 5.8030124268483707, 5.8023021184335271, 5.8014338121377147, 5.8004074186144337, 5.7992228337252572, 5.7978799392710121, 5.7963786038396705, 5.7947186837718077, 5.7929000242461308, 5.7909224604868026, 5.7887858190950849, 5.7864899195077424, 5.7840345755849327, 5.7814195973309426, 5.7786447927503772, 5.7757099698441312, 5.772614938748486, 5.7693595140210716, 5.7659435170784876, 5.7623667787903079, 5.758629142233163, 5.7547304656115097, 5.7506706253494384, 5.7464495193595964, 5.7420670704950751, 5.7375232301906891, 5.7328179823003174, 5.7279513471369441, 5.7229233857227619, 5.7177342042570762, 5.7123839588097152, 5.7068728602480654, 5.7012011794065449, 5.695369252506965, 5.6893774868394038, 5.6832263667124776, 5.6769164596828707, 5.6704484230744816, 5.6638230107961229, 5.6570410804693658, 5.6501036008755987, 5.643011659733479, 5.6357664718160212, 5.6283693874180889, 5.6208219011831613, 5.6131256612989127, 5.6052824790692704, 5.5972943388707339, 5.5891634084988002, 5.5808920499091066, 5.5724828303555309, 5.5639385339261942, 5.5552621734742038, 5.5464570029374771, 5.537526530038309, 5.52847452934766, 5.5193050556950789, 5.5100224578982244, 5.5006313927788106, 5.4911368394248354, 5.4815441136479262, 5.4718588825767762, 5.4620871793136017, 5.4522354175702716, 5.4423104061844478, 5.432319363402387, 5.4222699307970625, 5.4121701866727454, 5.4020286587874002, 5.3918543362037763, 5.3816566800585459, 5.3714456330160054, 5.361231627150354, 5.3510255899773105, 5.3408389483331566, 5.3306836297772628, 5.3205720611744294, 5.310517164094847, 5.3005323466552472, 5.2906314914141435, 5.2808289389290426, 5.2711394665845077, 5.2615782623090741, 5.2521608928170167, 5.2429032660386374, 5.2338215874421437, 5.2249323100023597, 5.2162520776355787, 5.2077976619997406, 5.199585892651565, 5.1916335806590448, 5.1839574358893969, 5.1765739783236304, 5.1694994438934598, 5.1627496854863697, 5.1563400699211028, 5.1502853718517141, 5.1445996657124944, 5.1392962169597238, 5.1343873739974484, 5.1298844622852204, 5.1257976822122728, 5.1221360123777897, 5.1189071199373757, 5.116117279657626, 5.1137713032590124, 5.1118724805237861, 5.1104225334969264, 5.1094215849188682, 5.1088681417997917, 5.1087590947845056, 5.1090897336673908, 5.109853779111714, 5.1110434303096843, 5.112649428005402, 5.1146611319961437, 5.1170666119429846, 5.1198527500647621, 5.1230053540716405, 5.1265092785179176, 5.1303485526277059, 5.1345065125712068, 5.138965936144877, 5.1437091778364765, 5.1487183023300629, 5.1651599679697515, 5.1833472532056177, 5.2028188705844389, 5.2231562189722629, 5.2439954771753321, 5.2650324241743744, 5.2860211740693908, 5.3067684188931219, 5.327124813976611, 5.3469749431343931, 5.3662269917029795, 5.3848029328796914, 5.402629756665462, 5.4196320660602817, 5.4357262320528239, 5.4508162227502996, 5.4647911815440517, 5.4775248024664354, 5.4888765186297137, 5.4986944678358007, 5.5068201210210699, 5.5130943550180245, 5.5173646301763242, 5.5194928117443434, 5.5193630721944933, 5.5168892512521763, 5.5120210488813717, 5.5047484935248896, 5.4951042622181747, 5.4831636178684073, 5.4690419491711815, 5.4528901214658472, 5.4348880426647126, 5.4152369921599606, 5.3941513361408981, 5.3718502551614433, 5.3485500455012129, 5.3244574404451583, 5.2997642520899122, 5.2746434808966285, 5.2492468985236247, 5.2237039937406244, 5.1981220892243361, 5.1725873903114916, 5.1471667119831892, 5.121909640994339, 5.0968509183780029, 5.0720128659559469, 5.0474077225493241, 5.0230397965063789, 4.9989073778466366, 4.9750043841386269, 4.9513217386960688, 4.9278484980788972, 4.9045727589228072, 4.8814823826645855, 4.8585655816220514, 4.8358114118302318, 4.8132102175391953, 4.790754069656872, 4.7684372357995191, 4.7462567129962787, 4.7242128454202845, 4.7023100387214809, 4.6805575696572577, 4.6589704749612224, 4.6375704872296053, 4.6163869688331012, 4.5954577786445325, 4.574829992227234, 4.5545603858741881, 4.5347155904868677, 4.515371824635622, 4.4966141288130892, 4.4785350458383002, 4.4612327257614401, 4.4448084768461262, 4.4293638362070924, 4.4149972936570867, 4.4018008708267056, 4.3898568379067466, 4.3792349494197476, 4.3699907092190688, 4.3621653464154173, 4.3557884074153534, 4.3508841382470234, 4.3474831021785523, 4.345640635703079, 4.3454635605629743, 4.3471456502878043, 4.3510101473064253, 4.3575535704474078, 4.3674789734499058, 4.3816997679147445, 4.4012905147963348, 4.4273645515275044, 4.4608760612994622, 4.5023766633082536, 4.5517919872732362, 4.6082989767006568, 4.6703607956432265, 4.7359182986523338, 4.8026769894974128, 4.8684011923385926, 4.9311428873878116, 4.9893730121105646, 5.0420212962397075, 5.0884514465863502, 5.1284015204577633, 5.1619123048178208, 5.1892571184499809, 5.2108789546788108, 5.2273364315981716, 5.2392580865139715, 5.2473041327791226, 5.2521350154809907, 5.2543864051743441, 5.2546504055859033, 5.2534626808559794, 5.2512949998516234, 5.2485524511536141, 5.245574387454238, 5.2426380591783692, 5.2399639025993796, 5.2377215388498861, 5.2360356857766268, 5.2349913530421563, 5.2346378581091528, 5.2348739209531088, 5.2355761779470651, 5.2367265695768381, 5.2382941229476607, 5.2402336747890148, 5.2424841543186851, 5.2449665044063432, 5.2475813517812426, 5.2502065745032436, 5.2526949561128129, 5.2548721577516782, 5.2565352773816603, 5.2574522928524425, 5.2573626959862727, 5.2559796114371, 5.252993652168108, 5.2480786920244675, 5.2408996392425413, 5.2311221825203189, 5.218424367363995, 5.2025097595018224, 5.183121874408525, 5.160059497008465, 5.1331924672875582, 5.1024774324174516, 5.067972918192603, 5.0298528074675248, 4.9884169114002219, 4.9440968182459599, 4.8974547304060128, 4.8491727816694787, 4.8000306628850087, 4.7508705490518919, 4.7025503986307262, 4.6558894123704784, 4.6116120959575309, 4.5702990024527219, 4.5323519944005621, 4.4979795040488844, 4.4672033550740036, 4.4398844613701041, 4.4157614648822241, 4.3944949621149512, 4.3757104750130038, 4.3590351752901562, 4.3441257324546187, 4.3306867962216176, 4.3184811305478377, 4.3073331990234216, 4.2971281841705862, 4.2878082152136781, 4.2793671795644794, 4.2718450482746011, 4.2653222403287794, 4.2599142226630189, 4.255766300525182, 4.2530483907937926, 4.2519494803683244, 4.2526714461539905, 4.2554219494427388, 4.2604062146018711, 4.2678176573087594, 4.2778275325038315, 4.2905740080615855, 4.3061513060558614, 4.3245997480076923, 4.3458976479027571, 4.3699559774238841, 4.3966165605780532, 4.4256542471483966, 4.4567831058526775, 4.4896662349011587, 4.5239283878534691, 4.5591703268349741, 4.5949836887723148, 4.6309651937387688, 4.6667292135798846, 4.7019180047847948, 4.7362092332338506, 4.769320725782352, 4.8010126352119427, 4.831087380391101, 4.8593878196224649, 4.8857941420824602, 4.9102199369873727, 4.9326078414934615, 4.9529250933713129, 4.9711592364391679, 4.9873141545366089, 5.0014065485019339, 5.0134629221385225, 5.0235171073301164, 5.0316083338204916, 5.0377798335542705, 5.0420779605087622, 5.0445518022496767, 5.0452532567713098, 5.0442375454344672, 5.0415641280703678, 5.0372979778202627, 5.0315111595451327, 5.0242846355839852, 5.0157101958860757, 5.0058923767900847, 4.99495019624222, 4.9830184973339593, 4.9702486633403193, 4.9568084547925206, 4.9428807327586686, 4.9286608822769251, 4.9143528425226357, 4.9001637860912197, 4.8862976595116434, 4.8729479804779299, 4.8602904542447494, 4.8484760873317452, 4.8376255095939671, 4.8278251469034554, 4.8191257170620512, 4.8115432740868744, 4.8050627412591904, 4.7996435994908397, 4.7952271781433806, 4.7917448589537601, 4.7891264587146418, 4.7873080927867964, 4.7862389171242672, 4.7858862753134499], [5.2197465194348478, 5.2200333853514529, 5.2208762388103276, 5.2222212738740694, 5.2239769248860695, 5.2260111068555775, 5.2281475001194933, 5.2301610265631213, 5.2317727034046335, 5.2326440941410803, 5.2323716032200878, 5.2304808835032555, 5.2264216541494202, 5.2195632872795823, 5.2091916668788176, 5.1945081455777569, 5.1746320759108011, 5.1486096017934173, 5.1154334754028508, 5.0740819582619405, 5.0235895392369843, 4.9631676694676221, 4.8923973853926164, 4.8115109120726238, 4.7217536013765065, 4.6257555277489777, 4.5277426989528928, 4.4333301728344416, 4.348684892442348, 4.279139890308107, 4.227785196756713, 4.1947615260056352, 4.1776280354832602, 4.172513493277715, 4.1753852491921117, 4.1829187420107337, 4.1928359825460229, 4.2038543297368349, 4.2154522186094967, 4.2276033576726624, 4.2405540614511157, 4.2546644708108872, 4.2703078390565885, 4.2878134389002058, 4.3074387224857817, 4.329359491573479, 4.3536703258322813, 4.3803903840793206, 4.4094717324088286, 4.4408086636196229, 4.4742472368011583, 4.5095946629318728, 4.5466283368674345, 4.5851043737186004, 4.6247655178052369, 4.6653482952409711, 4.70658929522095, 4.7482304944663829, 4.7900235802840916, 4.8317332734118148, 4.8731396953232515, 4.9140398607579661, 4.9542484020228121, 4.9935976463468732, 5.0319371721690835, 5.0691329665920604, 5.1050662966726561, 5.139632394056397, 5.1727390377190918, 5.2043051048733293, 5.2342591466064325, 5.2625380333130778, 5.2890857059315737, 5.3138520626017893, 5.336792006693786, 5.3578646811692128, 5.3770329158270318, 5.3942629180077653, 5.4095242435860396, 5.4227900932663484, 5.4340379888348167, 5.443250894332837, 5.4504188568388257, 5.4555412487107411, 5.4586296947806741, 5.4597117598463729, 5.4588354480583332, 5.4560745190239315, 5.4515345469558198, 5.4453595301493136, 5.4377386918573967, 5.428912899751305, 5.4191798810042693, 5.4088971537683195, 5.3984813884716738, 5.3884028354600035, 5.3791736086167621, 5.3713290916788834, 5.3654025830199368, 5.3618944685695151, 5.361238531327972, 5.3637691597881281, 5.3696938337630353, 5.3790750365277944, 5.3918245671103353, 5.4077113017948024, 5.4263812394837396, 5.4473867321947216, 5.4702206218894709, 5.4943507892641232, 5.5192512769720086, 5.5444273653218543, 5.5694333644157048, 5.5938831156003568, 5.6174540752361404, 5.6398863351684465, 5.6609780697799303, 5.6805787918881609, 5.6985815576686258, 5.7149149726274908, 5.7295355754051602, 5.7424209453214399, 5.7535637040106771, 5.7629664593802028, 5.7706376632382419, 5.7765883120231987, 5.7808294033720777, 5.78337006169183, 5.7842162572954674, 5.7840639435115975, 5.7836068668027423, 5.7828446215630898, 5.78177653334303, 5.780401661209603, 5.7787188010924622, 5.7767264901569826, 5.7744230122579578, 5.7718064045399853, 5.7688744652639041, 5.7656247629500399, 5.7620546469446268, 5.7581612595269052, 5.7539415496912065, 5.7493922887497204, 5.7445100879190258, 5.739291418066478, 5.7337326318083104, 5.7278299881669881, 5.7215796800087366, 5.7149778644988523, 5.7080206968247724, 5.7007043674511166, 5.6930251431829895, 5.6849794123228552, 5.6765637342166961, 5.6677748934877838, 5.6586099592598602, 5.6490663496681668, 5.6391419019479052, 5.6288349483760953, 5.6181443983187673, 5.6070698266046293, 5.5956115684029424, 5.5837708207285166, 5.5715497506261977, 5.5589516100021159, 5.5459808569624993, 5.5326432833965731, 5.5189461483894693, 5.5048983168775498, 5.4905104027555716, 5.4757949154133767, 5.4607664084158323, 5.4454416287446072, 5.4298396646900366, 5.4139820901206797, 5.3978931024646535, 5.3815996513172344, 5.3651315541452025, 5.3485215951022704, 5.3318056025068277, 5.3150225000824749, 5.2982143266377326, 5.2814262184896119, 5.2647063486428634, 5.2481058165578176, 5.2316784823134519, 5.2154807391459803, 5.1995712187652918, 5.1840104245773944, 5.1688602890258792, 5.1541836527612457, 5.140043665297588, 5.1265031092525, 5.1136236531928265, 5.1014650414979261, 5.0900842334337728, 5.0795345076768736, 5.0698645526521187, 5.0611175669992949, 5.0533303979476152, 5.0465327479953288, 5.0407464816812491, 5.0359850640290196, 5.0322531601364933, 5.0295464211802443, 5.027851475783792, 5.0271461374344817, 5.0273998288410375, 5.0285742134203577, 5.0306240132959728, 5.0334979831739126, 5.0371400011348761, 5.0414902315189742, 5.0464863122358645, 5.0520645192601297, 5.058160864682212, 5.0647120910621677, 5.0716565332936199, 5.0789348288775962, 5.0864904675177502, 5.09427018042848, 5.1022241779956969, 5.1103062509547055, 5.118473754799326, 5.1266874996831717, 5.1349115687799101, 5.1431130872296285, 5.1512619617813682, 5.1593306084477648, 5.1672936822768811, 5.1751278200422499, 5.1828114035013355, 5.1903243480424273, 5.197647919142196, 5.2047645771261841, 5.2116578492651797, 5.218312227213727, 5.2247130871481309, 5.2308466296246348, 5.2366998360864248, 5.2422604390384944, 5.2475169031228779, 5.2524584146201194, 5.2570748772332134, 5.2613569123528539, 5.2652958623331667, 5.2688837956130232, 5.2721135127902183, 5.2749785529889479, 5.2774732000559021, 5.2795924882760206, 5.2813322074198528, 5.282688907023096, 5.2836598998600088, 5.2842432646103239, 5.2844378477387153, 5.2842432646103052, 5.2836598998599955, 5.2826889070231013, 5.2813322074198439, 5.2795924882760197, 5.2774732000558977, 5.2749785529889621, 5.2721135127902388, 5.2688837956130463, 5.2652958623331507, 5.2613569123528618, 5.2570748772332028, 5.2524584146201132, 5.2475169031228912, 5.2422604390385033, 5.2366998360864372, 5.2308466296246134, 5.2247130871481149, 5.218312227213711, 5.211657849265185, 5.2047645771261939, 5.1976479191421996, 5.1903243480424228, 5.1828114035013311, 5.1751278200422277, 5.1672936822768669, 5.1593306084477932, 5.1512619617813415, 5.1431130872296036, 5.1349115687798941, 5.1266874996831486, 5.1184737547993393, 5.1103062509547241, 5.1022241779956881, 5.0942701804284853, 5.086490467517792, 5.0789348288775988, 5.0716565332936163, 5.0647120910621934, 5.0581608646822378, 5.0520645192601155, 5.0464863122358761, 5.0414902315189725, 5.0371400011348459, 5.0334979831739446, 5.0306240132959656, 5.0285742134203817, 5.0273998288410251, 5.0271461374344888, 5.0278514757837849, 5.0295464211802434, 5.0322531601364862, 5.0359850640290356, 5.0407464816812553, 5.046532747995335, 5.0533303979476205, 5.0611175669992798, 5.0698645526521213, 5.0795345076768825, 5.0900842334337764, 5.1014650414979235, 5.1136236531928185, 5.1265031092525017, 5.1400436652975889, 5.154183652761259, 5.1688602890258739, 5.1840104245773952, 5.1995712187653105, 5.2154807391459865, 5.2316784823134421, 5.2481058165578212, 5.2647063486428696, 5.2814262184895986, 5.2982143266377211, 5.3150225000824767, 5.3318056025068365, 5.3485215951022811, 5.3651315541452016, 5.3815996513172379, 5.3978931024646615, 5.413982090120677, 5.4298396646900597, 5.4454416287446419, 5.4607664084158563, 5.4757949154133847, 5.4905104027555733, 5.5048983168775552, 5.5189461483894791, 5.5326432833965935, 5.5459808569625171, 5.5589516100021283, 5.5715497506262146, 5.5837708207285255, 5.5956115684029726, 5.6070698266046284, 5.6181443983187878, 5.6288349483761237, 5.6391419019479159, 5.6490663496681837, 5.6586099592598877, 5.6677748934877874, 5.6765637342167112, 5.6849794123228605, 5.6930251431829895, 5.7007043674511308, 5.708020696824768, 5.7149778644988301, 5.7215796800087286, 5.7278299881669756, 5.7337326318083148, 5.7392914180664576, 5.7445100879190418, 5.7493922887497106, 5.7539415496911763, 5.7581612595269087, 5.762054646944617, 5.7656247629500408, 5.7688744652638979, 5.7718064045399817, 5.7744230122579481, 5.7767264901569986, 5.7787188010924515, 5.7804016612096163, 5.7817765333430433, 5.7828446215630809, 5.7836068668027405, 5.784063943511609, 5.7842162572954976, 5.784140105262364, 5.7839116397649075, 5.7835308326514259, 5.7829976371453427, 5.7823119880595719, 5.7814738020978016, 5.7804829782430307, 5.7793393982346473, 5.7780429271349574, 5.7765934139873307, 5.7749906925668588, 5.7732345822262134, 5.7713248888385458, 5.7692614058402434, 5.7670439153760942, 5.7646721895499944, 5.7621459917848226, 5.759465078294606, 5.7566291996736165, 5.7536381026065531, 5.7504915317039389, 5.747189231468548, 5.743730948398249, 5.7401164332301695, 5.7363454433337502, 5.7324177452584806, 5.7283331174438565, 5.7240913530989719, 5.7196922632602183, 5.7151356800356918, 5.7104214600453664, 5.7055494880670095, 5.7005196808984078, 5.6953319914468903, 5.6899864130576328, 5.6844829840936457, 5.678821792779984, 5.6730029823265324, 5.6670267563433461, 5.6608933845639795, 5.6546032088931844, 5.6481566497944771, 5.6415542130363514, 5.6347964968138013, 5.6278841992647326, 5.6208181263993966, 5.6135992004631889, 5.6062284687521124, 5.5987071129012858, 5.5910364586660606, 5.5832179862159226, 5.5752533409603897, 5.5671443449254729, 5.5588930086978818, 5.5505015439533203, 5.5419723765822448, 5.5333081604242187, 5.5245117916194664, 5.5155864235805749, 5.5065354825842165, 5.4973626839758341, 5.4880720489735229, 5.4786679220502004, 5.4691549888621251, 5.4595382946833251, 5.4498232632907291, 5.4400157162333, 5.4301218924004555, 5.4201484677893719, 5.4101025753496739, 5.3999918247634913, 5.3898243219944266, 5.3796086884137635, 5.369354079284399, 5.3590702013534033, 5.3487673292731959, 5.3384563205387296, 5.3281486285949597, 5.3178563137347217, 5.3075920513744395, 5.2973691372618248, 5.2872014891401671, 5.2771036443662753, 5.2670907529563014, 5.2571785655170951, 5.2473834155107282, 5.2377221953002744, 5.2282123254345514, 5.2188717166535472, 5.2097187241337961, 5.2007720935469663, 5.1920508985771558, 5.1835744696332346, 5.1753623136032703, 5.1674340246301416, 5.1598091860379682, 5.1525072637100564, 5.1455474914066492, 5.1389487487131209, 5.1327294325215407, 5.1269073231683846, 5.1214994465689072, 5.1165219339020744, 5.111989880597581, 5.1079172065541032, 5.1043165196642049, 5.1011989848302992, 5.0985742007206722, 5.096450086525306, 5.0948327809273133, 5.0937265553993889, 5.0931337437682949, 5.0930546897613382, 5.093487713964759, 5.0944291012857699, 5.0958731096326959, 5.0978120001140832, 5.1002360886283284, 5.1031338182766506, 5.1064918516036668, 5.1102951812619581, 5.1145272573265146, 5.1191701291600564, 5.1242045994648118, 5.1296103879560793, 5.1353663019618283, 5.1414504111962422, 5.1478402239684975, 5.1686141918296791, 5.1913116499636089, 5.2153313433182511, 5.2401209940195779, 5.265197114195419, 5.2901549368000902, 5.314669719390742, 5.3384914366348291, 5.3614350862443843, 5.3833686465805863, 5.4042003250222397, 5.4238662773221566, 5.4423195599561494, 5.4595207488049455, 5.475430428656102, 5.490003615832145, 5.5031860968371209, 5.5149126232578158, 5.5251068742816623, 5.5336830658731451, 5.5405490396992105, 5.5456106025374527, 5.5487768124464987, 5.5499658316478362, 5.549110901975677, 5.5461659620389145, 5.5411104288026474, 5.5339527176759917, 5.5247321743330673, 5.5135192300141602, 5.5004137542632803, 5.4855417445825045, 5.4690506399456957, 5.4511036560115089, 5.4318736017960969, 5.4115366460819132, 5.3902664606741109, 5.3682290872883129, 5.3455787701180757, 5.3224548830159328, 5.2989799732528642, 5.2752588540168261, 5.2513786117084607, 5.2274093537445498, 5.2034055063535041, 5.1794074755888779, 5.1554435031150074, 5.1315315756967408, 5.1076812788515387, 5.0838955169464422, 5.0601720514861377, 5.0365048348775767, 5.0128851378939752, 4.989302485356844, 4.9657454265418277, 4.9422021750090153, 4.9186611574933385, 4.8951115136183478, 4.8715435878363795, 4.8479494523255457, 4.8243234946287039, 4.8006630965578774, 4.776969421240854, 4.753248313125721, 4.7295113014047008, 4.7057766810125905, 4.68207062776189, 4.6584282863517865, 4.6348947534135831, 4.6115258643073931, 4.5883886842390424, 4.5655616036783782, 4.5431339470769636, 4.521205023974483, 4.4998825832986906, 4.479280674403884, 4.4595169704466757, 4.4407096686810776, 4.4229741460075118, 4.4064196160075619, 4.3911461081548087, 4.3772421774933141, 4.3647838646315886, 4.3538355741209465, 4.3444537325380175, 4.3366943173853647, 4.3306255675500704, 4.3263472781414416, 4.3240178173073414, 4.3238890005938178, 4.3263466983593943, 4.3319510120166527, 4.3414639239489095, 4.3558455872974191, 4.3761961302697596, 4.4036237094659629, 4.439037584941314, 4.4828978332242144, 4.5349894509942157, 4.5943047720176526, 4.6590939269168556, 4.7270821875090769, 4.7957880861834807, 4.8628454001195474, 4.9262484608980746, 4.9844851061011628, 5.0365651389844057, 5.0819761527914773, 5.1206021020574974, 5.1526316977834199, 5.1784725046744002, 5.1986775884311003, 5.2138860767485609, 5.2247764620145833, 5.2320307447893057, 5.236307623951669, 5.2382232779487943, 5.2383385682669648, 5.2371516539104412, 5.2350950598979384, 5.2325362509150199, 5.2297807735760236, 5.2270770756514144, 5.2246221946366243, 5.222567622722905, 5.2210247855096759, 5.220069702676521, 5.2197465194348478, 5.2199623399860364, 5.2206045747474752, 5.2216573213545541, 5.2230933428910138, 5.2248729901021447, 5.2269427383820535, 5.2292333911036621, 5.2316580230771734, 5.2341097645770827, 5.2364595570825712, 5.2385540453564756, 5.2402138044854629, 5.241232131816191, 5.241374658410761, 5.2403800485453589, 5.2379620551956307, 5.2338131820360676, 5.2276101679617843, 5.2190214606009881, 5.2077167845537664, 5.1933788418512039, 5.175717106670656, 5.1544835864321463, 5.1294902983696025, 5.1006280230242531, 5.067885603716844, 5.031368628472995, 4.9913157524079086, 4.9481102534428745, 4.9022838220797684, 4.8545093405115907, 4.8055798551672408, 4.7563723903682229, 4.7077977498586536, 4.6607406396301103, 4.6159974749338719, 4.5742210012503781, 4.5358804653942268, 4.5012433309838213, 4.4703801762167359, 4.4431898268425849, 4.41943837392735, 4.398804331743646, 4.380922802281769, 4.3654234782860568, 4.3519597548176723, 4.3402283984931573, 4.3299807469043117, 4.3210272048636176, 4.3132370017958399, 4.3065349851725747, 4.3008968444044307, 4.2963437299846836, 4.292936836788412, 4.2907721950950775, 4.2899756664360993, 4.2906979687061195, 4.293109447967419, 4.2973942674409917, 4.3037436960964204, 4.3123482520908798, 4.3233885920564008, 4.3370252330815715, 4.3533874373691726, 4.3725618532654149, 4.3945817493095456, 4.419417848509589, 4.4469718163364691, 4.4770733401286513, 4.509481450571994, 4.5438903065361602, 4.5799391587298119, 4.6172257153069438, 4.6553217454403777, 4.6937895444241295, 4.7321978756906606, 4.7701361859621265, 4.8072262076941845, 4.8431304468467475, 4.8775574329724707, 4.9102639275243307, 4.9410545135847741, 4.9697791179646886, 4.9963290551341526, 5.0206321526926043, 5.0426474444264429, 5.0623598218906078, 5.0797749365065714, 5.0949145532549309, 5.107812480732699, 5.118511143062654, 5.1270588164451398, 5.1335075249130053, 5.1379115731364644, 5.1403266857511714, 5.1408097195444942, 5.1394189140578916, 5.1362146451136788, 5.1312606420653504, 5.1246256210463841, 5.1163852713305582, 5.1066245087933595, 5.0954398789221216, 5.0829419527405681, 5.0692575152205031, 5.0545313025906324, 5.0389270106308963, 5.0226272814019381, 5.0058323932698441, 4.9887574401190484, 4.9716278976426889, 4.9546736366256257, 4.9381216424714109, 4.9221879110567421, 4.9070691767786423, 4.8929352488754683, 4.8799227523855588, 4.8681309729114801, 4.8576202963126471, 4.8484134470597731, 4.840499411612984, 4.8338396403401021, 4.8283758988397301, 4.8240390134655442, 4.8207577297758393, 4.8184669603933266, 4.8171148128271986, 4.8166679289378607], [5.1934761988526033, 5.1937638489350988, 5.1946102731682666, 5.1959653478485963, 5.1977437250923773, 5.1998221568219289, 5.2020358207234114, 5.2041737184215098, 5.2059732323689385, 5.207113940902782, 5.2072108014173981, 5.2058068247030995, 5.2023653929725118, 5.1962624497733501, 5.1867789692917112, 5.173094497848111, 5.1542833231456981, 5.1293162356873525, 5.0970732836087125, 5.0563768357130812, 5.0060599370430587, 4.9450917883886198, 4.8727872344025505, 4.7891224863839126, 4.695149910185398, 4.5934324783764628, 4.4883037290598295, 4.3856628215810396, 4.2920777663769121, 4.2133090752251885, 4.15283881938071, 4.1111577433272046, 4.0861464908307656, 4.0742146888480262, 4.0715319027172114, 4.0748654684582064, 4.0819156602222639, 4.0912866108016255, 4.102284871251543, 4.1146847426702244, 4.1285294750102546, 4.1439884784601073, 4.1612661975810434, 4.180549974044987, 4.2019839408175104, 4.2256586890920858, 4.2516096374404206, 4.2798197250557513, 4.3102239961254671, 4.342714894737294, 4.3771478039389642, 4.413346704268875, 4.45110993847688, 4.4902160589126012, 4.5304296774067767, 4.5715071806897125, 4.6132021409198636, 4.6552702477993844, 4.6974736127664318, 4.7395843383517162, 4.781387297028159, 4.8226821149126984, 4.8632844000290341, 4.9030262887767524, 4.9417564065211863, 4.9793393494152296, 5.0156547964734308, 5.0505963558788238, 5.0840702399231166, 5.1159938510519956, 5.1462943490093842, 5.1749072574051995, 5.2017751581289531, 5.2268465145040501, 5.250074659269651, 5.2714169815442578, 5.2908343478766442, 5.3082907962257284, 5.3237535480130269, 5.3371933918653207, 5.3485855026592199, 5.3579107699297381, 5.3651577189069517, 5.3703251128092981, 5.3734253227189726, 5.3744885360458801, 5.3735678391743313, 5.3707451457122142, 5.3661378393349892, 5.3599058510396684, 5.352258690584546, 5.3434617064563827, 5.3338405798024109, 5.3237828108271685, 5.3137348043188748, 5.3041932012649831, 5.2956894391711771, 5.2887672290128522, 5.2839537084146695, 5.2817263414617042, 5.2824789181362739, 5.2864908953543148, 5.293904462803793, 5.3047129142146199, 5.3187622379742923, 5.3357656820792361, 5.3553289482543098, 5.3769821591156042, 5.4002141404684982, 5.4245048877772426, 5.4493531007333376, 5.4742970017011174, 5.4989279465649954, 5.5228973473034397, 5.5459180543144209, 5.5677616106683416, 5.5882527758816423, 5.6072625298911678, 5.6247005034841244, 5.6405075080441502, 5.6546485957146091, 5.667106888914442, 5.6778782783409456, 5.6869669954639761, 5.6943820098856666, 5.7001341742075553, 5.7042340307922785, 5.7066901993808887, 5.7075082770731242, 5.7073614431587192, 5.7069208157438176, 5.7061860181906052, 5.705156424033186, 5.7038311588908686, 5.7022091031830495, 5.700288895681866, 5.6980689379498592, 5.6955473997207342, 5.6927222252935366, 5.6895911410212081, 5.6861516639886949, 5.6824011119867164, 5.6783366149035199, 5.673955127668207, 5.6692534448972172, 5.6642282174090948, 5.658875970790116, 5.6531931262108586, 5.647176023710486, 5.6408209481858211, 5.6341241583397279, 5.6270819188642616, 5.6196905361535281, 5.6119463978603923, 5.6038460166328186, 5.5953860783824929, 5.5865634954581305, 5.5773754651117207, 5.5678195336596525, 5.5578936667523742, 5.5475963261717069, 5.5369265535767322, 5.525884061612631, 5.5144693327822978, 5.5026837264540358, 5.4905295943404839, 5.4780104047272591, 5.465130875656282, 5.4518971171692359, 5.4383167825923575, 5.4243992286853908, 5.4101556842825671, 5.3955994268152727, 5.3807459658188792, 5.3656132321823877, 5.3502217714949634, 5.3345949393689951, 5.3187590960723838, 5.3027437971753271, 5.2865819762113793, 5.270310114564551, 5.2539683929330829, 5.2376008177944318, 5.2212553153252941, 5.2049837842435656, 5.1888420980768881, 5.1728900464810748, 5.1571912045047501, 5.1418127182143545, 5.126824994968155, 5.1123012869879751, 5.0983171578667577, 5.0849498234183281, 5.0722773609720369, 5.0603777849648859, 5.0493279915707996, 5.0392025811521552, 5.0300725744376296, 5.0220040463231026, 5.0150567097002741, 5.0092824902272568, 5.0047241407901772, 5.0014139507649737, 4.9993726092024735, 4.9986082818758586, 4.9991159590303864, 5.0008771232034057, 5.0038597745572044, 5.0080188351845569, 5.0132969347009482, 5.0196255585038534, 5.0269265190788071, 5.0351136915597641, 5.0440949392287191, 5.0537741442740014, 5.0640532548994504, 5.0748342621056217, 5.0860210277617774, 5.0975208989356071, 5.1092460603571759, 5.1211145956189279, 5.1330512464936753, 5.1449878770279565, 5.1568636636265381, 5.1686250434230274, 5.1802254605175664, 5.1916249532545518, 5.202789626020607, 5.2136910466835706, 5.2243056064892537, 5.2346138736949808, 5.244599966105195, 5.2542509615240816, 5.2635563593557251, 5.2725076014465291, 5.2810976559256746, 5.2893206643181383, 5.2971716495608767, 5.3046462806767991, 5.3117406886526926, 5.3184513274112648, 5.3247748735498019, 5.3307081586264706, 5.336248128118525, 5.3413918216678917, 5.3461363698078204, 5.3504790029743656, 5.3544170692135529, 5.3579480575709368, 5.3610696246783975, 5.3637796225242491, 5.3660761258023584, 5.3679574575850042, 5.3694222123558708, 5.3704692756788948, 5.3710978399734275, 5.37130741602311, 5.3710978399734106, 5.3704692756788877, 5.3694222123558717, 5.367957457584998, 5.3660761258023593, 5.3637796225242527, 5.3610696246784109, 5.3579480575709537, 5.354417069213576, 5.3504790029743514, 5.3461363698078248, 5.3413918216678864, 5.3362481281185268, 5.3307081586264848, 5.3247748735498055, 5.3184513274112755, 5.3117406886526757, 5.3046462806767849, 5.2971716495608581, 5.2893206643181427, 5.2810976559256879, 5.2725076014465291, 5.263556359355718, 5.2542509615240753, 5.244599966105171, 5.2346138736949692, 5.224305606489283, 5.2136910466835404, 5.2027896260205848, 5.1916249532545287, 5.1802254605175406, 5.168625043423039, 5.1568636636265612, 5.1449878770279449, 5.1330512464936877, 5.1211145956189723, 5.1092460603571821, 5.0975208989356036, 5.0860210277618023, 5.074834262105643, 5.064053254899437, 5.0537741442740147, 5.0440949392287155, 5.0351136915597312, 5.0269265190788452, 5.0196255585038472, 5.0132969347009722, 5.0080188351845445, 5.0038597745572106, 5.0008771232034048, 4.9991159590303802, 4.9986082818758533, 4.9993726092024868, 5.0014139507649844, 5.0047241407901861, 5.0092824902272621, 5.0150567097002536, 5.0220040463231017, 5.0300725744376393, 5.0392025811521615, 5.0493279915708023, 5.0603777849648779, 5.0722773609720404, 5.0849498234183192, 5.0983171578667719, 5.1123012869879645, 5.126824994968155, 5.141812718214374, 5.1571912045047554, 5.1728900464810641, 5.1888420980768917, 5.2049837842435736, 5.2212553153252834, 5.2376008177944176, 5.2539683929330785, 5.270310114564559, 5.2865819762113899, 5.302743797175328, 5.3187590960723927, 5.3345949393689995, 5.3502217714949554, 5.3656132321824126, 5.3807459658189138, 5.3955994268152931, 5.4101556842825742, 5.424399228685389, 5.4383167825923646, 5.4518971171692447, 5.4651308756563051, 5.478010404727276, 5.4905295943404901, 5.5026837264540465, 5.514469332782312, 5.5258840616126541, 5.5369265535767269, 5.5475963261717212, 5.5578936667524026, 5.5678195336596614, 5.5773754651117429, 5.5865634954581562, 5.5953860783824929, 5.6038460166328292, 5.6119463978604003, 5.6196905361535263, 5.6270819188642776, 5.6341241583397279, 5.6408209481857963, 5.6471760237104824, 5.6531931262108452, 5.6588759707901151, 5.6642282174090779, 5.6692534448972332, 5.6739551276681954, 5.678336614903488, 5.6824011119867208, 5.6861516639886815, 5.6895911410212081, 5.6927222252935321, 5.6955473997207307, 5.6980689379498566, 5.7002888956818802, 5.7022091031830344, 5.7038311588908845, 5.705156424033194, 5.7061860181905937, 5.7069208157438096, 5.7073614431587298, 5.7075082770731589, 5.7074348645212627, 5.7072146168731468, 5.7068475041855473, 5.7063334766678722, 5.7056724648544144, 5.7048643798466241, 5.703909113625941, 5.7028065394382876, 5.7015565122513632, 5.7001588692868648, 5.6986134306286793, 5.6969199999097686, 5.6950783650796986, 5.6930882992558622, 5.6909495616609833, 5.6886618986503059, 5.6862250448323071, 5.6836387242863307, 5.6809026518820769, 5.6780165347055123, 5.6749800735956448, 5.6717929647986463, 5.6684549017450561, 5.6649655769557539, 5.6613246840849314, 5.6575319201066554, 5.6535869876535552, 5.6494895975159602, 5.6452394713112906, 5.6408363443334775, 5.6362799685929224, 5.6315701160587412, 5.6267065821155118, 5.6216891892475847, 5.6165177909646644, 5.6111922759840205, 5.6057125726845412, 5.6000786538500407, 5.5942905417189612, 5.5883483133596465, 5.5822521063914321, 5.5760021250713825, 5.5695986467702197, 5.5630420288592513, 5.5563327160334905, 5.5494712480952622, 5.5424582682252792, 5.5352945317677253, 5.5279809155575936, 5.5205184278183186, 5.5129082186590121, 5.5051515912005069, 5.4972500133593174, 5.489205130318302, 5.4810187777124515, 5.4726929955565291, 5.464230042939513, 5.4556324135095258, 5.4469028517678071, 5.4380443701884342, 5.4290602671740942, 5.4199541458526435, 5.4107299337123749, 5.4013919030638835, 5.3919446923080843, 5.382393327975616, 5.3727432474913597, 5.3630003225994267, 5.3531708833678486, 5.3432617426696867, 5.3332802210154098, 5.3232341715845219, 5.3131320052761506, 5.3029827155665465, 5.2927959029271099, 5.2825817985193817, 5.2723512868437004, 5.2621159269763966, 5.2518879719860507, 5.2416803860748225, 5.2315068589440115, 5.2213818168383499, 5.2113204296787945, 5.2013386136519291, 5.1914530285875298, 5.1816810694235889, 5.172040851036309, 5.1625511856983124, 5.1532315524294514, 5.144102057518726, 5.135183385529384, 5.1264967401521959, 5.1180637743483031, 5.109906509323876, 5.1020472420070773, 5.0945084408536125, 5.0873126299910254, 5.0804822619248364, 5.0740395792676898, 5.0680064662141744, 5.062404290766211, 5.0572537390071481, 5.0525746430246858, 5.0483858043801613, 5.0447048153092346, 5.0415478801014766, 5.0389296393352856, 5.0368629998283652, 5.0353589732880195, 5.0344265267044701, 5.0340724475108507, 5.0343012264330582, 5.0351149607630719, 5.0365132805159742, 5.0384932995696765, 5.0410495934527004, 5.0441742049405978, 5.0478566780686833, 5.0520841205772546, 5.0568412941996383, 5.0621107316000256, 5.0678728781915607, 5.0741062565309685, 5.0807876505171023, 5.0878923062302821, 5.0953941459484522, 5.1032659916775005, 5.1114797944354233, 5.137884232229915, 5.1663207574609737, 5.1960221715977006, 5.226281068831649, 5.2564792480024636, 5.2861036268886954, 5.314750010893631, 5.3421173626578229, 5.3679956743996957, 5.3922503634159593, 5.4148055643172395, 5.4356280201697027, 5.4547126435562605, 5.4720703124711516, 5.4877181080162369, 5.5016719764816608, 5.5139416756760653, 5.5245278089490624, 5.5334207290749449, 5.5406010845428746, 5.5460417679018352, 5.5497110028759877, 5.5515762743334562, 5.5516087687237157, 5.5497879617315382, 5.5461059752841715, 5.5405713370904595, 5.5332118184483452, 5.524076100809638, 5.5132341234215785, 5.5007760829426591, 5.4868101774141422, 5.4714592964813118, 5.4548569440693289, 5.4371427295430612, 5.4184577748457077, 5.398940360044044, 5.378722074884168, 5.3579246694529612, 5.3366577142198519, 5.315017099301949, 5.2930843332744235, 5.2709265487364521, 5.2485970874404808, 5.2261365216271738, 5.2035739677640755, 5.1809285605026476, 5.1582109743264111, 5.1354249043179507, 5.1125684426252338, 5.0896353112825707, 5.0666159335686007, 5.043498344283365, 5.0202689539448695, 4.9969131930139312, 4.9734160701091827, 4.949762683062759, 4.9259387238403693, 4.9019310179576845, 4.8777281361087699, 4.8533211102200138, 4.8287042779359801, 4.8038762685229823, 4.7788411293125437, 4.7536095752725727, 4.7282003255555152, 4.7026414708045676, 4.676971794972224, 4.6512419573165413, 4.6255154264647054, 4.5998690516699359, 4.5743931593563465, 4.5491910780732994, 4.5243780234964124, 4.5000793171843805, 4.476427966844267, 4.4535616987079116, 4.4316196001307393, 4.4107385987362475, 4.3910500712278662, 4.3726769419136531, 4.3557317045316335, 4.3403158925960819, 4.3265216470501295, 4.3144361950447987, 4.3041502524811586, 4.2957715491331347, 4.2894447315504527, 4.2853785969747271, 4.2838805750920033, 4.2853960876041457, 4.2905463586467336, 4.3001522983712199, 4.3152252884917326, 4.3369012983016395, 4.3662985745608838, 4.4042976341294562, 4.4512767475495503, 4.5068752027135046, 4.5698755890762035, 4.6382715044109801, 4.7095200039260137, 4.780903983074082, 4.849893151181079, 4.9144107566400042, 4.972966235794761, 5.0246658839852207, 5.0691418827479371, 5.1064432340908095, 5.1369210654003519, 5.1611265038012943, 5.1797280724858119, 5.1934488853108647, 5.2030209441171138, 5.2091531099002397, 5.2125096251630287, 5.2136966812567813, 5.2132551059266534, 5.2116576827683687, 5.2093099105217524, 5.2065532096308607, 5.2036697303896995, 5.2008880414819654, 5.1983890947306755, 5.1963119750686921, 5.1947590518145015, 5.1938002443033335, 5.1934761988526033, 5.1936925682417092, 5.1943368931451479, 5.1953946337585251, 5.1968409275144136, 5.1986396586100865, 5.2007421848863915, 5.2030857556932419, 5.2055916695390412, 5.2081632390821904, 5.2106836535264636, 5.2130138544362596, 5.214990569612497, 5.2164246797039677, 5.2171001219926527, 5.2167735633940717, 5.2151750983106488, 5.2120102450711485, 5.2069635263169429, 5.1997039232173217, 5.1898924896933671, 5.1771923975255412, 5.1612816478356747, 5.1418686117917565, 5.118710424208766, 5.0916340057435505, 5.0605590825102409, 5.0255219640963347, 4.9866980285790916, 4.9444199251797576, 4.8991876485873238, 4.851666216517871, 4.8026671400604517, 4.7531115969602018, 4.703976270842599, 4.656226726434797, 4.6107468843492754, 4.5682752811741318, 4.5293583025434607, 4.4943273160632318, 4.4633015668323042, 4.4362134963270119, 4.4128494040901449, 4.3928969446708521, 4.3759917357556128, 4.361757558544614, 4.3498372751787615, 4.3399138982656575, 4.3317228331448021, 4.3250571258834425, 4.319767745759437, 4.3157607344617803, 4.3129926677029742, 4.3114654411774396, 4.3112209932699352, 4.3123362465579644, 4.3149182956759429, 4.3190996843434339, 4.3250334906560912, 4.3328878718567569, 4.342839708084993, 4.3550670342875266, 4.3697400675252664, 4.3870108269381403, 4.4070015994756417, 4.4297928042373993, 4.4554111107175611, 4.4838189128834864, 4.5149063852062348, 4.5484872901272499, 4.5842994388604978, 4.6220102437601334, 4.6612272063365427, 4.7015125663467696, 4.7424008149307708, 4.7834174510687948, 4.8240972917354279, 4.8640008282340927, 4.9027274965351229, 4.9399252074424789, 4.9752959670333468, 5.0085978310131232, 5.0396437317038352, 5.0682978797874911, 5.0944704874842959, 5.118111514016741, 5.1392040315306033, 5.1577576809302546, 5.1738025561621672, 5.1873837379242715, 5.1985566017115996, 5.2073829529408613, 5.2139279922629305, 5.2182580836260071, 5.2204392818607745, 5.2205365710994789, 5.2186137660695504, 5.2147340315079944, 5.2089609773168144, 5.2013602856696011, 5.1920018184369265, 5.180962136772906, 5.1683273378438468, 5.1541960758865102, 5.1386825871232649, 5.1219194840565754, 5.1040600310183963, 5.0852795698863815, 5.0657757461984207, 5.0457672068667758, 5.0254905153886549, 5.0051951672050592, 4.9851367842106367, 4.9655688060010341, 4.9467332430085724, 4.9288512679278353, 4.9121145486796403, 4.8966782305381864, 4.8826563413984676, 4.8701201367691276, 4.8590995626308811, 4.8495876554067809, 4.8415473813138439, 4.8349201904279617, 4.8296354473671128, 4.8256198974939739, 4.8228064112514559, 4.8211413858004271, 4.8205903394105167], [5.1530991868562825, 5.1534169386021436, 5.1543548211564483, 5.1558661862955875, 5.1578715214786097, 5.1602558071761058, 5.1628648263480761, 5.1655004305881658, 5.1679147619035914, 5.1698034189910027, 5.1707975436515694, 5.1704547926592879, 5.1682491681314087, 5.1635597376347615, 5.1556584469630513, 5.1436976292441932, 5.1266986445852964, 5.1035446739778614, 5.0729835346537575, 5.0336511157891124, 4.984133176311051, 4.9230923879294233, 4.8494953384525239, 4.7629711010333153, 4.6642998144625389, 4.5559427806486301, 4.4423845684111294, 4.3299404196447773, 4.2257652001380857, 4.1362124219315382, 4.0652306931515012, 4.0136245046560814, 3.9794886919338421, 3.9594002250286993, 3.9496596379278004, 3.947112073757582, 3.9494679104489387, 3.9552746586100231, 3.9637293117979073, 3.9744626516121642, 3.9873588118944401, 4.0024275249690042, 4.0197240235926373, 4.0393041832055347, 4.0612025109202277, 4.0854233348203124, 4.1119387058765779, 4.1406891695920205, 4.1715854568907762, 4.2045103389898122, 4.2393205432203382, 4.2758489019218153, 4.3139069479388068, 4.3532880886479006, 4.3937713642682148, 4.4351256757876172, 4.4771142807285065, 4.5194993115038224, 4.5620460696649232, 4.6045268811391757, 4.6467243506875331, 4.6884339162915101, 4.7294656659333238, 4.7696454330971134, 4.8088152292350301, 4.8468331000470846, 4.8835725084123993, 4.9189213521675033, 4.9527807222528191, 4.9850634987555003, 5.0156928715404829, 5.0446008605345209, 5.0717268998978158, 5.097016541411814, 5.1204203261708887, 5.1418928705238907, 5.1613922123503793, 5.1788794671514919, 5.1943188498577806, 5.207678127201536, 5.2189295760932692, 5.228051534240965, 5.2350306379740195, 5.2398648454604526, 5.2425673362735958, 5.2431713537986013, 5.241736006575846, 5.2383529581828618, 5.233153802361814, 5.2263177331865442, 5.2180788789475381, 5.2087323871003282, 5.1986380621812307, 5.1882201338077305, 5.1779616616965765, 5.1683922803315783, 5.1600685463743359, 5.1535471161571094, 5.1493522742261559, 5.1479407347562525, 5.1496677930266301, 5.1547594197687481, 5.1632944774412284, 5.1751998545494162, 5.1902592364885836, 5.2081339792348196, 5.2283927072334686, 5.2505452488453042, 5.2740764910473503, 5.2984765225120656, 5.3232646950727984, 5.3480065858137547, 5.3723239894510257, 5.3958988582777661, 5.4184725123224968, 5.4398415312076063, 5.4598516143628038, 5.4783904590558361, 5.4953804350676441, 5.5107715814948355, 5.5245352409743953, 5.5366584875670348, 5.5471393938271385, 5.5559831122730134, 5.5631987071575182, 5.5687966553492592, 5.5727869330498692, 5.5751776125413555, 5.5759739063438367, 5.5758331060567743, 5.5754105905436502, 5.5747060161600039, 5.5737188112087086, 5.5724481775208785, 5.5708930927015636, 5.5690523130721106, 5.5669243773516124, 5.5645076111293044, 5.5618001321911059, 5.5587998567735113, 5.5555045068310651, 5.5519116184143202, 5.5480185512708653, 5.5438224997927108, 5.5393205054519328, 5.5345094708797919, 5.5293861757631291, 5.5239472947502612, 5.518189417577382, 5.5121090716490073, 5.5057027473266347, 5.4989669262053269, 5.4918981126821462, 5.4844928691467549, 5.4767478551535502, 5.4686598709620649, 5.4602259058632665, 5.4514431917393811, 5.4423092623351605, 5.4328220187490164, 5.4229798016804862, 5.4127814709976212, 5.4022264932104518, 5.3913150374551178, 5.3800480806031619, 5.3684275221130608, 5.3564563092286939, 5.3441385731033355, 5.3314797763785471, 5.318486872675126, 5.3051684783467357, 5.2915350567020054, 5.2775991147082335, 5.2633754119393696, 5.2488811812113001, 5.2341363599479207, 5.2191638308261563, 5.203989669645841, 5.1886433976429629, 5.1731582346034131, 5.1575713481219072, 5.141924093182892, 5.1262622349115397, 5.110636145860818, 5.0951009675828987, 5.0797167245144088, 5.0645483764422217, 5.0496657940937935, 5.0351436408284949, 5.0210611421492235, 5.0075017239996908, 4.9945525007977807, 4.9823035951459769, 4.9708472734518168, 4.9602768855777262, 4.9506856023842474, 4.9421649528321154, 4.9348031722283681, 4.9286833851302516, 4.9238816599909638, 4.9204649871935295, 4.9184892466953523, 4.9179972448206195, 4.91901691027312, 4.9215597455724982, 4.9256196302995763, 4.9311720655440991, 4.9381739341199857, 4.9465638285820184, 4.9562629699009069, 4.9671767058410383, 4.9791965424428373, 4.9922026278556801, 5.006066578494913, 5.020654516115588, 5.0358301730842214, 5.0514579229173373, 5.0674056037762831, 5.0835470225818815, 5.0997640543016178, 5.1159482817592128, 5.1320021528887176, 5.1478396618643796, 5.1633865857323107, 5.1785803275916296, 5.1933694303693132, 5.2077128319019819, 5.2215789330444418, 5.2349445469185545, 5.2477937904314507, 5.2601169700596202, 5.2719095037436876, 5.2831709104928271, 5.293903889650883, 5.3041135032015108, 5.3138064672438938, 5.3229905529507446, 5.3316740928933228, 5.3398655854668728, 5.3475733881063832, 5.3548054888567007, 5.3615693454630771, 5.3678717812955128, 5.3737189279598665, 5.3791162052414689, 5.3840683299698764, 5.3885793463981617, 5.392652671697757, 5.3962911511337337, 5.3994971183783491, 5.4022724572251866, 5.4046186616755598, 5.4065368919815002, 5.4080280247519923, 5.409092695667499, 5.4097313337142721, 5.4099441861554656, 5.4097313337142587, 5.4090926956674972, 5.4080280247519879, 5.4065368919814967, 5.4046186616755634, 5.4022724572251928, 5.3994971183783589, 5.3962911511337488, 5.3926526716977738, 5.3885793463981493, 5.3840683299698799, 5.3791162052414689, 5.3737189279598692, 5.3678717812955288, 5.361569345463078, 5.3548054888567123, 5.347573388106369, 5.3398655854668622, 5.3316740928932989, 5.3229905529507482, 5.3138064672439143, 5.3041135032015125, 5.2939038896508741, 5.2831709104928182, 5.2719095037436627, 5.2601169700596104, 5.2477937904314746, 5.2349445469185225, 5.221578933044424, 5.2077128319019579, 5.1933694303692821, 5.178580327591642, 5.1633865857323338, 5.1478396618643636, 5.1320021528887354, 5.1159482817592608, 5.099764054301624, 5.0835470225818771, 5.0674056037763071, 5.051457922917356, 5.0358301730842072, 5.0206545161156022, 5.0060665784949059, 4.9922026278556419, 4.9791965424428799, 4.967176705841033, 4.9562629699009335, 4.9465638285820068, 4.9381739341199937, 4.9311720655441045, 4.9256196302995656, 4.9215597455724955, 4.9190169102731298, 4.9179972448206319, 4.9184892466953629, 4.920464987193534, 4.9238816599909399, 4.9286833851302454, 4.9348031722283769, 4.9421649528321225, 4.9506856023842545, 4.9602768855777173, 4.9708472734518212, 4.9823035951459644, 4.9945525007977931, 5.0075017239996775, 5.0210611421492235, 5.0351436408285144, 5.0496657940938015, 5.0645483764422083, 5.0797167245144141, 5.0951009675829093, 5.1106361458608101, 5.1262622349115183, 5.1419240931828805, 5.1575713481219161, 5.1731582346034219, 5.1886433976429673, 5.2039896696458534, 5.219163830826159, 5.2341363599479065, 5.248881181211325, 5.2633754119394061, 5.2775991147082504, 5.2915350567020081, 5.3051684783467321, 5.3184868726751322, 5.3314797763785569, 5.3441385731033595, 5.3564563092287081, 5.3684275221130617, 5.380048080603169, 5.3913150374551346, 5.4022264932104704, 5.4127814709976123, 5.4229798016804969, 5.4328220187490466, 5.4423092623351694, 5.4514431917394042, 5.4602259058632887, 5.4686598709620604, 5.4767478551535573, 5.4844928691467647, 5.491898112682148, 5.4989669262053447, 5.5057027473266373, 5.5121090716489798, 5.5181894175773802, 5.5239472947502426, 5.529386175763122, 5.5345094708797777, 5.5393205054519479, 5.5438224997926984, 5.5480185512708315, 5.5519116184143273, 5.5555045068310474, 5.5587998567735157, 5.5618001321911024, 5.5645076111292946, 5.5669243773516097, 5.5690523130721257, 5.5708930927015485, 5.572448177520898, 5.5737188112087095, 5.5747060161599915, 5.5754105905436395, 5.5758331060567832, 5.5759739063438767, 5.575903510139181, 5.575692311448547, 5.5753402800705771, 5.5748473657653319, 5.5742134983978158, 5.5734385881400161, 5.5725225257321283, 5.5714651828038768, 5.570266412257241, 5.5689260487126555, 5.5674439090198042, 5.565819792835704, 5.5640534832721134, 5.5621447476153705, 5.5600933381212387, 5.5578989928883784, 5.5555614368141972, 5.5530803826368054, 5.5504555320678834, 5.5476865770214969, 5.5447732009431796, 5.5417150802462825, 5.5385118858613094, 5.5351632849045158, 5.5316689424740737, 5.5280285235810176, 5.5242416952238713, 5.5203081286157909, 5.5162275015747415, 5.5119995010870566, 5.5076238260557364, 5.5031001902461085, 5.4984283254420552, 5.4936079848270483, 5.4886389466048158, 5.483521017876634, 5.4782540387918859, 5.4728378869911207, 5.4672724823607801, 5.461557792120951, 5.4556938362688996, 5.4496806934009356, 5.4435185069392631, 5.4372074917890156, 5.4307479414544577, 5.4241402356428745, 5.4173848483877309, 5.4104823567229081, 5.4034334499418275, 5.3962389394759445, 5.3888997694287744, 5.3814170278023896, 5.3737919584538645, 5.3660259738198315, 5.3581206684476106, 5.3500778333708698, 5.3418994713668964, 5.3335878131324526, 5.3251453344111299, 5.316574774104561, 5.3078791533947456, 5.2990617959002586, 5.2901263488838648, 5.2810768055201356, 5.2719175282246269, 5.2626532730331679, 5.2532892150091506, 5.2438309746394269, 5.2342846451638891, 5.2246568207615436, 5.2149546254941095, 5.2051857428805679, 5.1953584459466873, 5.1854816275596445, 5.1755648308207887, 5.1656182792481973, 5.1556529064355203, 5.145680384825269, 5.1357131531814639, 5.1257644422918123, 5.1158482983702243, 5.105979603570904, 5.0961740929634649, 5.0864483672567644, 5.0768199005007704, 5.0673070419378954, 5.0579290111268644, 5.0487058854178066, 5.0396585788278383, 5.0308088113477796, 5.0221790677123002, 5.0137925446864937, 5.005673085969244, 4.9978451038884693, 4.990333487170906, 4.9831634942123362, 4.9763606314536126, 4.969950516689587, 4.963958727397447, 4.9584106344704457, 4.9533312220805277, 4.9487448947606705, 4.9446752731936892, 4.9411449806042613, 4.9381754220700893, 4.9357865594772496, 4.9339966852335309, 4.9328221982046294, 4.932277385631318, 4.9323742150089771, 4.9331221400429115, 4.9345279248236382, 4.9365954902785756, 4.9393257867493281, 4.9427166962050091, 4.9467629671435294, 4.9514561846514251, 4.9567847774122029, 4.962734062684194, 4.9692863294406813, 4.9764209590018735, 4.9841145816244863, 4.9923412666764531, 5.0010727432480238, 5.0102786473623215, 5.0199267913713275, 5.0299834506833339, 5.0404136626712956, 5.0735838458384492, 5.1088024418988462, 5.1451017930652814, 5.1815921183850087, 5.2175032753254005, 5.2522077150621582, 5.2852261898358783, 5.3162198976164143, 5.3449735644608065, 5.3713737493676685, 5.3953858363109521, 5.4170321463524047, 5.4363726309453435, 5.4534888348927346, 5.4684712806931293, 5.4814101007929574, 5.4923885796702079, 5.50147920904476, 5.5087418601895042, 5.5142237029290424, 5.5179605294989003, 5.5199791617008804, 5.5203006287873455, 5.5189438042461791, 5.5159291887956376, 5.5112825325030403, 5.505038008438202, 5.4972406886933616, 5.4879481323539068, 5.4772309713883711, 5.4651724679684195, 5.4518671062900079, 5.4374183633933058, 5.4219358674497942, 5.4055321916404742, 5.3883195438233118, 5.3704065973500583, 5.3518956708968899, 5.3328804118334361, 5.3134440765271593, 5.2936584399725923, 5.2735833128684746, 5.2532666013564286, 5.2327448154195206, 5.2120439166639478, 5.1911803934570795, 5.1701624587131292, 5.1489912800798123, 5.1276621710020489, 5.1061656916062388, 5.0844886286040794, 5.0626148420944643, 5.0405259834189744, 5.0182021017087761, 4.9956221673357408, 4.9727645482078477, 4.9496074798299476, 4.9261295723618499, 4.9023103975391242, 4.878131195174829, 4.8535757328399605, 4.8286313429890084, 4.8032901490476707, 4.7775504757220375, 4.7514184191907187, 4.7249095304626039, 4.6980505411145357, 4.6708810366171853, 4.6434549609620772, 4.6158418204048823, 4.5881274473366034, 4.5604141910678182, 4.5328204235321854, 4.5054792861296784, 4.4785366586973332, 4.4521484000899196, 4.4264769869752874, 4.4016877566548898, 4.3779450346127087, 4.3554084939944566, 4.3342301528805933, 4.3145524728688844, 4.2965080923040144, 4.280221826154806, 4.2658157050446253, 4.2534180040914116, 4.2431773844734808, 4.2352833213007193, 4.2299936903762587, 4.2276693496418334, 4.2288132406625696, 4.2341073849994837, 4.2444349581820653, 4.2608673606560687, 4.2845911445653337, 4.3167530259389739, 4.3582204690933963, 4.4092930357752342, 4.4694445404196443, 4.5372001017619796, 4.6102260187764541, 4.6856324511538769, 4.7603995544601787, 4.8317927419111335, 4.8976561278237778, 4.9565400815356249, 5.0076835039621663, 5.0509048388578783, 5.0864570315314079, 5.1148854043793399, 5.1369083883321274, 5.1533268838999016, 5.1649601801627263, 5.1726033124643811, 5.1770004206624023, 5.1788295132605748, 5.17869515227523, 5.1771265515336475, 5.174579314643788, 5.1714395453876483, 5.1680294013160077, 5.1646133891494248, 5.1614048617556225, 5.1585722984054216, 5.1562450476551867, 5.1545182926508675, 5.1534570649604401, 5.1530991868562825, 5.1533380876903037, 5.1540503355499192, 5.1552223983174228, 5.1568311640836164, 5.1588431118275393, 5.1612131681359976, 5.1638832706479754, 5.166780668877009, 5.1698160058641447, 5.1728812401437798, 5.1758474870160844, 5.1785628812185962, 5.1808505897734234, 5.182507133987678, 5.1833012132891945, 5.182973260915305, 5.1812360027480455, 5.1777763361428422, 5.1722588951876824, 5.1643317203796029, 5.1536344979846813, 5.1398098634490683, 5.1225182480357816, 5.1014566454854515, 5.0763814243250467, 5.0471348364095983, 5.0136741039942523, 4.9761008820641051, 4.9346875719849521, 4.8898956629418961, 4.8423804643297856, 4.7929768799178447, 4.742662817929145, 4.6925005805199413, 4.6435615438010984, 4.596844234055057, 4.5531987431866918, 4.5132699464094514, 4.4774680377254397, 4.4459687554835163, 4.4187394479069475, 4.3955827691559159, 4.3761882476164269, 4.3601829976938911, 4.347175448506583, 4.336788974513885, 4.3286848740093689, 4.322575852954059, 4.3182320194726236, 4.31548157673907, 4.3142081745016467, 4.3143464616463296, 4.315876923160805, 4.3188206662910167, 4.3232344750972018, 4.3292061837458089, 4.3368502180009907, 4.3463030112424699, 4.357717910380277, 4.3712591499994558, 4.3870944987088825, 4.4053862827683989, 4.4262806799146341, 4.4498954528727328, 4.4763066413405888, 4.5055351123153242, 4.5375342140997086, 4.5721800031106339, 4.6092655287210738, 4.6485004109496559, 4.6895164244100442, 4.7318790752425812, 4.7751043557233679, 4.8186791477804949, 4.8620832733807555, 4.9048110508978002, 4.9463904227226356, 4.9863981999147198, 5.0244706008451381, 5.0603089060270277, 5.0936805980140516, 5.1244167362426944, 5.1524065139410329, 5.1775899784997819, 5.1999498110091649, 5.2195029041164922, 5.2362922936064162, 5.2503798204361392, 5.2618397460901685, 5.2707534239605263, 5.2772050440996843, 5.2812784144504112, 5.2830547125529268, 5.2826111311531943, 5.2800203428206798, 5.2753507170980898, 5.2686672341197038, 5.2600330469790988, 5.2495116478243595, 5.2371695864997765, 5.2230796727540048, 5.2073245614814763, 5.1900005742937072, 5.17122155113052, 5.1511224569491088, 5.1298623992310324, 5.1076266553203684, 5.0846272819355853, 5.0611019023179411, 5.0373103572653788, 5.0135290748480505, 4.9900432556618224, 4.9671372624508763, 4.9450839012982986, 4.924133528866979, 4.9045040577234005, 4.8863729163983205, 4.86987183973726, 4.8550850429987049, 4.8420509278152117, 4.8307670549941522, 4.8211977706580313, 4.8132836393916243, 4.8069517402846786, 4.8021259074795237, 4.7987361128038053, 4.7967263525768784, 4.7960605759489718], [5.0761883076770529, 5.0765583362306614, 5.0776544305667155, 5.0794341090916193, 5.0818248723384496, 5.0847216401735844, 5.0879831252124932, 5.091427095415634, 5.0948244533391902, 5.0978920254196591, 5.1002839121676065, 5.1015812035079344, 5.101279825637616, 5.0987762866002404, 5.0933511892810941, 5.0841507028518453, 5.0701669481000939, 5.0502198447950102, 5.022946017111634, 4.9868057556343688, 4.9401277719334589, 4.8812237545192971, 4.8086176033080816, 4.7214369237641067, 4.6199828175621471, 4.5063940932496198, 4.3851436536244437, 4.2629378008852736, 4.1476627982485095, 4.0465209047341508, 3.9641700682162977, 3.901852913087227, 3.8578634783213053, 3.8288466424024583, 3.8111248732327385, 3.8015521067273794, 3.7978337625828051, 3.7984897946257483, 3.8026627081997462, 3.809904221169873, 3.8200017159377389, 3.8328591820900031, 3.8484255961541551, 3.8666571230468576, 3.8875001960769895, 3.9108857287632772, 3.9367281532545939, 3.964925779920633, 3.9953609279468867, 4.0278994739170662, 4.0623900829300768, 4.098663607248664, 4.1365331141132238, 4.175794853831305, 4.2162302842721564, 4.257609082820883, 4.2996929333360816, 4.3422397876622858, 4.3850082695616104, 4.4277619053828259, 4.4702729172166196, 4.5123253859521872, 4.5537176698938504, 4.5942640385478208, 4.6337955435658484, 4.6721601958813865, 4.7092225490530675, 4.7448628051592756, 4.7789755639752283, 4.8114683318731961, 4.8422598971618145, 4.8712786662904701, 4.8984610428272415, 4.9237499201265598, 4.947093350351758, 4.9684434477792241, 4.9877555834774592, 5.0049879316046164, 5.0201014344821626, 5.0330602636794168, 5.0438328664885841, 5.0523936995509251, 5.0587257610995042, 5.0628240359414285, 5.0646999566010482, 5.0643869514334954, 5.0619470851777368, 5.0574786870256716, 5.0511246940505652, 5.0430812065033583, 5.0336054597886637, 5.0230220893033861, 5.0117262512568113, 5.0001819525948692, 4.988913954779977, 4.9784919773891136, 4.9695067316677672, 4.9625385590423488, 4.9581209802255302, 4.9567029520205104, 4.9586146436105762, 4.9640416707253019, 4.9730117577093802, 4.9853958625121972, 5.0009233608934851, 5.0192085870113941, 5.0397844506114202, 5.0621383103482973, 5.0857457470465288, 5.1100990449484582, 5.1347286339012213, 5.1592170956550385, 5.1832063561810804, 5.2063992920099285, 5.2285572094811137, 5.2494946111874583, 5.2690724566022151, 5.2871908493665591, 5.3037818081315153, 5.3188025385539222, 5.3322294362006133, 5.3440529145777802, 5.3542730625784767, 5.3628960817743891, 5.3699314265932738, 5.3753895612902314, 5.3792802503325481, 5.3816113087407595, 5.3823877529337532, 5.3822535727624672, 5.3818509271086405, 5.3811795008149028, 5.3802387694995044, 5.3790280008912008, 5.377546256728106, 5.3757923952497046, 5.3737650743214473, 5.3714627552399223, 5.3688837072773605, 5.3660260130339674, 5.3628875746788403, 5.359466121170791, 5.3557592165658878, 5.3517642695288892, 5.3474785441850088, 5.3428991724616637, 5.3380231680893777, 5.3328474424503405, 5.3273688224833702, 5.3215840708784476, 5.315489908816982, 5.3090830415429044, 5.3023601870775821, 5.295318108423098, 5.2879536496332245, 5.280263776166227, 5.272245619973206, 5.2638965298158071, 5.255214127350154, 5.2461963695581071, 5.2368416181524164, 5.2271487166282959, 5.2171170756791634, 5.2067467677380481, 5.1960386314446652, 5.1849943868731634, 5.1736167623786473, 5.1619096339336261, 5.1498781778182714, 5.137529037501011, 5.1248705054853474, 5.1119127208003778, 5.0986678826643486, 5.085150480639844, 5.0713775413113025, 5.0573688911344439, 5.0431474346111287, 5.0287394463135939, 5.0141748744904913, 4.9994876530146692, 4.9847160172482248, 4.9699028179850098, 4.9550958259631326, 4.9403480175103445, 4.9257178296955662, 4.9112693709311479, 4.8970725703516349, 4.8832032465706883, 4.8697430737175651, 4.8567794201670553, 4.8444050333523938, 4.8327175428156997, 4.8218187535960588, 4.8118137036434749, 4.8028094626718527, 4.7949136562208539, 4.7882327081261886, 4.7828698073852163, 4.7789226216074967, 4.7764807985464941, 4.7756233188616619, 4.7764157859548479, 4.7789077606077059, 4.7831302668654754, 4.789093608496743, 4.7967856397132964, 4.8061706273289158, 4.8171888226600856, 4.8297568299659073, 4.8437688153874729, 4.8590985491445924, 4.8756022186194095, 4.8931218963423833, 4.9114895005066836, 4.9305310516047571, 4.9500710108590198, 4.9699364860854365, 4.9899611080267752, 5.0099884124654839, 5.0298746064008748, 5.0494906451684898, 5.0687235963965609, 5.0874773115492999, 5.1056724630198529, 5.1232460322227018, 5.1401503511889528, 5.1563518072906085, 5.1718293192828773, 5.186572684753803, 5.2005808863907044, 5.2138604291937245, 5.2264237646100122, 5.2382878418691039, 5.2494728125142656, 5.2600009018246059, 5.2698954507669882, 5.2791801243276995, 5.2878782764033998, 5.2960124576291259, 5.3036040502858519, 5.310673013449013, 5.3172377215163795, 5.3233148799196837, 5.3289195029582901, 5.3340649401057858, 5.3387629386919446, 5.3430237324414067, 5.3468561468827636, 5.3502677140727704, 5.3532647903816244, 5.3558526722385187, 5.3580357057404484, 5.3598173868830568, 5.3612004498939534, 5.3621869417473453, 5.3627782814336058, 5.3629753029643048, 5.3627782814335969, 5.3621869417473489, 5.3612004498939454, 5.3598173868830594, 5.3580357057404528, 5.3558526722385276, 5.3532647903816297, 5.3502677140727828, 5.3468561468827733, 5.3430237324413978, 5.3387629386919464, 5.3340649401057929, 5.3289195029582954, 5.3233148799196961, 5.3172377215163769, 5.310673013449021, 5.3036040502858421, 5.296012457629117, 5.2878782764033714, 5.2791801243277003, 5.2698954507670122, 5.2600009018246077, 5.2494728125142593, 5.2382878418690932, 5.2264237646099856, 5.2138604291937174, 5.2005808863907284, 5.1865726847537701, 5.1718293192828622, 5.1563518072905827, 5.1401503511889208, 5.1232460322227151, 5.1056724630198751, 5.0874773115492804, 5.0687235963965813, 5.0494906451685395, 5.029874606400881, 5.0099884124654785, 4.9899611080267983, 4.9699364860854534, 4.9500710108590029, 4.9305310516047731, 4.9114895005066712, 4.8931218963423442, 4.8756022186194548, 4.8590985491445897, 4.8437688153875031, 4.8297568299658966, 4.8171888226600927, 4.8061706273289264, 4.7967856397132831, 4.7890936084967368, 4.7831302668654825, 4.7789077606077237, 4.7764157859548568, 4.7756233188616664, 4.7764807985464657, 4.7789226216074852, 4.782869807385226, 4.7882327081261993, 4.7949136562208663, 4.8028094626718438, 4.8118137036434829, 4.821818753596042, 4.8327175428157139, 4.8444050333523796, 4.8567794201670544, 4.8697430737175837, 4.8832032465706927, 4.8970725703516216, 4.9112693709311541, 4.9257178296955786, 4.9403480175103374, 4.9550958259631095, 4.9699028179849929, 4.9847160172482337, 4.9994876530146781, 5.0141748744904975, 5.028739446313609, 5.0431474346111322, 5.0573688911344252, 5.07137754131133, 5.0851504806398786, 5.0986678826643637, 5.1119127208003778, 5.1248705054853421, 5.1375290375010181, 5.1498781778182794, 5.1619096339336501, 5.1736167623786606, 5.1849943868731589, 5.1960386314446696, 5.2067467677380668, 5.2171170756791803, 5.2271487166282835, 5.2368416181524244, 5.2461963695581364, 5.2552141273501602, 5.2638965298158356, 5.2722456199732246, 5.2802637761662217, 5.2879536496332271, 5.2953181084231113, 5.3023601870775856, 5.3090830415429213, 5.3154899088169874, 5.321584070878421, 5.3273688224833693, 5.3328474424503183, 5.3380231680893706, 5.3428991724616504, 5.347478544185023, 5.3517642695288723, 5.3557592165658532, 5.3594661211708026, 5.362887574678818, 5.3660260130339719, 5.3688837072773605, 5.3714627552399126, 5.3737650743214482, 5.3757923952497171, 5.3775462567280892, 5.3790280008912186, 5.3802387694995017, 5.3811795008148895, 5.3818509271086237, 5.3822535727624752, 5.3823877529337958, 5.3823206663983756, 5.3821193968109773, 5.3817839142528472, 5.3813141689431312, 5.3807100913644135, 5.3799715924395244, 5.3790985637605022, 5.3780908778703456, 5.3769483885990663, 5.3756709314560185, 5.3742583240797286, 5.3727103667478335, 5.3710268429492496, 5.3692075200217504, 5.3672521498574115, 5.3651604696797763, 5.3629322028963955, 5.3605670600306423, 5.3580647397375882, 5.3554249299091916, 5.3526473088730917, 5.3497315466922659, 5.3466773065713582, 5.3434842463761596, 5.340152020274747, 5.3366802805077631, 5.3330686792970425, 5.3293168709016818, 5.3254245138325675, 5.3213912732360615, 5.3172168234587271, 5.3129008508063702, 5.3084430565111465, 5.3038431599218567, 5.2991009019329685, 5.2942160486705045, 5.2891883954524008, 5.2840177710438887, 5.2787040422284868, 5.2732471187175207, 5.2676469584228061, 5.2619035731169914, 5.2560170345106121, 5.2499874807735232, 5.2438151235326984, 5.2375002553781229, 5.2310432579119936, 5.224444610377172, 5.2177048989032579, 5.210824826409878, 5.2038052232090024, 5.1966470583497131, 5.189351451749773, 5.18191968716022, 5.1743532260099006, 5.1666537221777151, 5.1588230377401016, 5.1508632597424784, 5.1427767180402855, 5.1345660042560102, 5.1262339918946633, 5.1177838576570922, 5.1092191039864563, 5.100543582875809, 5.0917615209588716, 5.0828775458945117, 5.0738967140458779, 5.0648245394390479, 5.0556670239713286, 5.0464306888176793, 5.037122606962221, 5.0277504367539487, 5.0183224563554552, 5.0088475989180328, 4.9993354882770511, 4.9897964749163268, 4.9802416719003837, 4.9706829904187533, 4.9611331745250471, 4.9516058345889604, 4.9421154789073949, 4.9326775428470579, 4.9233084148114372, 4.9140254582432217, 4.904847028791993, 4.8957924856927599, 4.8868821963239366, 4.8781375328371093, 4.8695808596879537, 4.8612355108429544, 4.8531257554023153, 4.8452767503633378, 4.8377144792614404, 4.8304656754693678, 4.8235577290161409, 4.8170185759124564, 4.81087656913967, 4.8051603306858528, 4.7998985842915038, 4.7951199689052473, 4.7908528332461247, 4.7871250123182856, 4.783963587225462, 4.7813946301730175, 4.7794429371184091, 4.7781317511156383, 4.777482479980991, 4.7775144124640931, 4.7782444376117619, 4.7796867724422212, 4.781852703372282, 4.7847503470392558, 4.7883844362039385, 4.7927561362996594, 4.7978628978828217, 4.8036983497470844, 4.8102522367779006, 4.8175104057685472, 4.8254548414065068, 4.8340637535049655, 4.8433117153331464, 4.8531698516396808, 4.8636060737077802, 4.8745853575850884, 4.886070060540427, 4.8980202698559605, 4.9103941773103266, 4.923148472166325, 4.9632465367480183, 5.0051493216752583, 5.0476783323120271, 5.08976869581541, 5.1305224072520526, 5.1692352413900018, 5.2053999394768899, 5.2386913573620788, 5.268940280549173, 5.2961020644340815, 5.3202248553292009, 5.3414205169770419, 5.3598399344916627, 5.3756532762236677, 5.3890350871431707, 5.4001537022051131, 5.4091643128508355, 5.4162050066152014, 5.4213951598454599, 5.4248356495821488, 5.4266104345225452, 5.4267891230460128, 5.4254301950563981, 5.4225845768818255, 5.4182992912146402, 5.4126209248411277, 5.4055986828559686, 5.3972868343262883, 5.3877464031929927, 5.3770460185534601, 5.3652619063459284, 5.3524770736449856, 5.338779800065284, 5.324261601284169, 5.3090148621206028, 5.2931303481169003, 5.276694795172113, 5.2597887492153088, 5.242484787010441, 5.2248462009695125, 5.206926181491867, 5.1887674852749042, 5.1704025413060108, 5.1518539201871052, 5.1331350777395341, 5.1142512797425992, 5.0952006194564499, 5.0759750510190162, 5.0565613775334457, 5.0369421505191188, 5.0170964556226858, 4.9970005767741199, 4.9766285464695246, 4.9559526030885586, 4.9349435868838905, 4.9135713144504756, 4.8918049770727992, 4.8696136113131754, 4.8469666904116568, 4.823834882278482, 4.8001910137295978, 4.7760112707344682, 4.7512766504218025, 4.7259746621506542, 4.7001012521206444, 4.6736628992580753, 4.6466788006377833, 4.6191830345160607, 4.5912265611470762, 4.5628788998491165, 4.5342293098491062, 4.505387306949566, 4.476482372013737, 4.4476627529292303, 4.4190933286844114, 4.3909525887479699, 4.3634288760764894, 4.3367161385282502, 4.3110095218010915, 4.2865012104960485, 4.2633769815663616, 4.2418139832715003, 4.2219803081543956, 4.2040370110281629, 4.1881433502727354, 4.1744662030734796, 4.1631947809951297, 4.1545618321784028, 4.1488722162261329, 4.1465386607707391, 4.1481220561322543, 4.1543691564569034, 4.1662337284577298, 4.1848589826638145, 4.2114931261888806, 4.247313278966935, 4.2931548870974847, 4.3491879702845377, 4.4146351416515301, 4.4876549798182728, 4.5654805300894656, 4.6448043167438637, 4.7222912213453681, 4.7950512553869009, 4.8609434483282037, 4.9186720809505147, 4.967715847536093, 5.0081648078651062, 5.040533394321761, 5.0655925331559164, 5.0842389996534703, 5.0974036150140529, 5.1059920270746284, 5.1108497311768035, 5.1127437750135494, 5.1123553340586874, 5.1102790764230264, 5.1070266046799198, 5.1030322229883485, 5.0986599052958201, 5.0942107328789694, 5.0899303109800202, 5.0860158248524652, 5.0826224934689037, 5.0798692468237761, 5.0778435022453339, 5.0766049525742094, 5.0761883076770529, 5.0764663585502277, 5.0772964016035358, 5.0786659563968364, 5.0805537175794298, 5.0829288023582837, 5.0857497065920185, 5.0889629811202859, 5.0925016460501649, 5.0962833688863016, 5.1002084430488859, 5.1041576169256313, 5.1079898406662849, 5.1115400191161076, 5.1146168855038185, 5.1170011430448712, 5.1184440622888987, 5.1186667731609905, 5.1173605549061696, 5.1141885068914164, 5.1087890790074457, 5.1007820482501014, 5.0897776349685664, 5.0753895300273397, 5.0572526018752519, 5.0350458907852351, 5.0085210692459716, 4.9775357351274669, 4.9420896247591859, 4.9023601176770732, 4.8587315032416463, 4.8118109422147262, 4.7624237077442011, 4.7115819919528104, 4.6604257532433344, 4.61014024497468, 4.5618613356283371, 4.5165841170357783, 4.4750905905590628, 4.4379079442642002, 4.405301553774235, 4.3772990601097206, 4.353736266132195, 4.3343134431010482, 4.3186517035060152, 4.3063421238106505, 4.2969838445494553, 4.2902103820294792, 4.2857053829272083, 4.2832100363186472, 4.2825245717666105, 4.2835060206096998, 4.2860639546260337, 4.2901554101977899, 4.2957797463900675, 4.3029738055511464, 4.3118074469283849, 4.3223792960656207, 4.3348123832795995, 4.3492492274574035, 4.3658458603729136, 4.3847642948020562, 4.4061630364540205, 4.4301854446464857, 4.4569460692968308, 4.4865155196800286, 4.5189049077310548, 4.554051371386981, 4.5918065066405402, 4.6319295985944713, 4.6740872509062408, 4.7178603513888575, 4.7627583611554281, 4.8082398535115445, 4.8537372883035541, 4.8986834035295663, 4.9425364698851562, 4.9848019921329314, 5.0250491412981582, 5.0629210778197411, 5.0981391818475466, 5.1305018910224574, 5.1598792791555859, 5.1862046845074099, 5.2094646593529692, 5.2296883337192153, 5.2469370374039102, 5.2612947637784391, 5.272859825066508, 5.2817378616768362, 5.2880362332156023, 5.2918597322297174, 5.2933075150258349, 5.2924711270998674, 5.2894335042707921, 5.284268846362699, 5.2770432815575621, 5.2678162609902026, 5.2566426403384288, 5.2435754141810449, 5.2286690661492221, 5.2119834800531128, 5.1935883214476162, 5.1735677439978973, 5.1520252013483265, 5.1290880576180777, 5.1049115980263498, 5.0796819616398317, 5.0536174729409682, 5.0269678634712829, 5.0000109731316815, 4.9730467172417194, 4.946388396300045, 4.9203517816038129, 4.8952427766161639, 4.8713447584131035, 4.8489068719290209, 4.8281345290818916, 4.8091831419199309, 4.7921557280623537, 4.7771045424602754, 4.7640364056950562, 4.7529210022000958, 4.7437011690453135, 4.7363041044494505, 4.7306524753107695, 4.726674551219249, 4.7243126877807926, 4.7235296808792864], [4.9292892355557321, 4.9296992371225077, 4.9309169232271453, 4.9329048900643944, 4.9355992977809588, 4.9389075951624113, 4.9427052793327579, 4.9468316242038028, 4.9510842756668136, 4.9552125626958299, 4.9589093093464198, 4.961800853265526, 4.9634348878857972, 4.9632656668635802, 4.9606360854186979, 4.954756279615566, 4.9446788519913945, 4.9292720010160451, 4.907194345155073, 4.8768801386971017, 4.8365523385631244, 4.784294954700183, 4.7182345312505003, 4.6368954735962031, 4.5397814037762547, 4.4281501706095465, 4.3057533973913662, 4.1790573089948344, 4.0564060367987738, 3.9460601817946785, 3.8539194802385941, 3.7821887508089462, 3.7296322959846417, 3.6929556080850219, 3.6683410927207523, 3.6524737391912514, 3.6429416499311844, 3.6382105210237263, 3.6374122460755181, 3.6401071902963777, 3.6460924383396449, 3.6552729396309571, 3.6675869119891558, 3.6829693383304942, 3.7013383310929968, 3.7225929939049522, 3.7466155229289368, 3.7732736284658484, 3.8024216831095501, 3.8339004177415501, 3.8675357032681346, 3.9031371925252176, 3.940497537305959, 3.9793926807286528, 4.0195834558823895, 4.0608184653450081, 4.102838013396898, 4.1453787327073695, 4.1881784924145133, 4.2309811853248096, 4.2735410516590493, 4.3156262858265562, 4.3570217725243507, 4.3975308939312017, 4.4369764305984321, 4.475200639411991, 4.5120646315143711, 4.5474471931839702, 4.5812431970433574, 4.613361744034103, 4.6437241627252579, 4.6722619755330186, 4.6989149243712687, 4.7236291333608342, 4.746355475004866, 4.767048199610505, 4.785663886163646, 4.8021607764490204, 4.8164985627510593, 4.8286387123864438, 4.8385454285131066, 4.8461873642393876, 4.8515402229006899, 4.8545903866186109, 4.8553397106403171, 4.8538115922704401, 4.850058357064964, 4.8441698854298876, 4.8362832136208453, 4.826592572599532, 4.81535897712482, 4.8029180708373822, 4.7896845331190248, 4.7761510687902851, 4.7628799838297322, 4.7504857663980289, 4.739608066818052, 4.7308760015843516, 4.7248665912615522, 4.7220619533784012, 4.7228110429424364, 4.7273017538470752, 4.7355478457928006, 4.7473926742785144, 4.7625287216148866, 4.7805292799226065, 4.8008870030716144, 4.8230537156071138, 4.8464766971858309, 4.8706282043842704, 4.8950267212304359, 4.9192499254544284, 4.9429403941944727, 4.965805612393031, 4.9876139746999515, 5.0081883238089375, 5.0273982780962392, 5.0451522712521975, 5.0613899202249684, 5.0760750864749564, 5.0891898077254645, 5.1007291483632882, 5.1106969357537855, 5.1191023050238433, 5.1259569555118754, 5.1312730193831859, 5.1350614504302774, 5.1373308543880736, 5.1380866983492144, 5.1379586537228521, 5.1375744169024093, 5.1369336792914746, 5.1360359273268505, 5.1348804436389104, 5.1334663087062058, 5.1317924030336606, 5.129857409893992, 5.127659818680864, 5.1251979289331473, 5.1224698550998333, 5.1194735321278975, 5.1162067219664626, 5.112667021096958, 5.1088518692102856, 5.1047585591723816, 5.1003842484342563, 5.0957259720639465, 5.0907806575990211, 5.0855451419413749, 5.0800161905431427, 5.0741905191592487, 5.0680648184751913, 5.0616357819513187, 5.0549001372621198, 5.0478546817502341, 5.0404963223573809, 5.0328221205424004, 5.0248293427465791, 5.016515517020629, 5.0078784964843059, 4.9989165303492271, 4.9896283432967889, 4.9800132240653783, 4.9700711241633311, 4.9598027676823397, 4.9492097732418987, 4.9382947891400111, 4.9270616428198579, 4.9155155057754119, 4.9036630750101864, 4.8915127721170881, 4.8790749609575537, 4.8663621847696712, 4.8533894233111097, 4.8401743703249389, 4.826737731182261, 4.8131035399773134, 4.7992994946012262, 4.7853573073625819, 4.7713130675268953, 4.7572076106710925, 4.7430868879628383, 4.7290023263463778, 4.7150111681284352, 4.7011767756080012, 4.6875688832068496, 4.6742637760961481, 4.6613443706928086, 4.6489001687957838, 4.6370270538108658, 4.6258268948280508, 4.615406922732201, 4.6058788426076411, 4.597357649099993, 4.5899601168298982, 4.5838029471087554, 4.5790005656833221, 4.5756625843807139, 4.573890962310891, 4.5737769291088108, 4.5753977622661957, 4.5788135408012929, 4.5840640254416085, 4.5911658375959981, 4.6001101218019826, 4.6108608753811904, 4.6233541118861217, 4.6374979902613678, 4.6531739902561027, 4.6702391497075899, 4.6885293063986424, 4.7078632135893121, 4.7280473321680416, 4.7488810513693362, 4.7701620601859345, 4.7916915862875431, 4.8132792385376009, 4.834747229987908, 4.8559338148991618, 4.876695838741413, 4.8969103668071536, 4.9164754183417498, 4.9353098838872471, 4.9533527407808418, 4.9705617044434565, 4.9869114619769963, 5.0023916316894699, 5.0170045802321015, 5.0307632110419753, 5.0436888165500138, 5.0558090645074705, 5.0671561676289141, 5.0777652667803599, 5.0876730418651253, 5.0969165516554069, 5.1055322940355321, 5.1135554712014208, 5.1210194399129358, 5.1279553244834322, 5.1343917693743242, 5.1403548086356601, 5.1458678306441126, 5.1509516183381372, 5.155624447206038, 5.1599022254603932, 5.1637986630037123, 5.16732545785929, 5.1704924906515695, 5.1733080194342396, 5.1757788686693313, 5.1779106074527377, 5.1797077131717186, 5.181173717680168, 5.182311333810155, 5.1831225606217632, 5.1836087662532648, 5.1837707475903922, 5.1836087662532613, 5.1831225606217712, 5.1823113338101434, 5.1811737176801733, 5.1797077131717231, 5.1779106074527474, 5.1757788686693349, 5.1733080194342467, 5.1704924906515766, 5.1673254578592838, 5.1637986630037123, 5.1599022254604012, 5.155624447206046, 5.1509516183381496, 5.1458678306441072, 5.1403548086356672, 5.1343917693743188, 5.1279553244834259, 5.1210194399129083, 5.1135554712014235, 5.1055322940355543, 5.0969165516554078, 5.0876730418651173, 5.0777652667803475, 5.0671561676288892, 5.055809064507466, 5.0436888165500351, 5.0307632110419442, 5.0170045802320891, 5.0023916316894441, 4.9869114619769661, 4.970561704443468, 4.9533527407808622, 4.9353098838872285, 4.9164754183417703, 4.8969103668072016, 4.8766958387414174, 4.8559338148991573, 4.8347472299879284, 4.8132792385376186, 4.791691586287528, 4.7701620601859469, 4.748881051369322, 4.728047332167999, 4.7078632135893583, 4.6885293063986389, 4.6702391497076237, 4.653173990256092, 4.6374979902613749, 4.6233541118861359, 4.6108608753811771, 4.6001101218019773, 4.5911658375960025, 4.5840640254416316, 4.5788135408013009, 4.5753977622661974, 4.5737769291087806, 4.5738909623108777, 4.5756625843807219, 4.579000565683331, 4.583802947108766, 4.5899601168298885, 4.597357649100001, 4.6058788426076243, 4.6154069227322143, 4.6258268948280357, 4.6370270538108649, 4.6489001687958016, 4.661344370692813, 4.6742637760961321, 4.6875688832068532, 4.7011767756080127, 4.715011168128429, 4.7290023263463548, 4.7430868879628187, 4.7572076106711014, 4.7713130675269042, 4.7853573073625881, 4.7992994946012431, 4.8131035399773152, 4.8267377311822424, 4.8401743703249656, 4.8533894233111434, 4.8663621847696854, 4.8790749609575546, 4.8915127721170801, 4.9036630750101953, 4.9155155057754225, 4.9270616428198828, 4.9382947891400244, 4.9492097732418934, 4.9598027676823442, 4.9700711241633488, 4.9800132240653934, 4.9896283432967738, 4.9989165303492333, 5.0078784964843344, 5.0165155170206335, 5.0248293427466066, 5.0328221205424164, 5.0404963223573747, 5.047854681750235, 5.0549001372621349, 5.0616357819513231, 5.0680648184752108, 5.074190519159254, 5.0800161905431169, 5.0855451419413749, 5.090780657598998, 5.0957259720639367, 5.1003842484342465, 5.104758559172395, 5.1088518692102678, 5.1126670210969243, 5.1162067219664742, 5.1194735321278744, 5.1224698550998369, 5.1251979289331455, 5.1276598186808542, 5.1298574098939946, 5.1317924030336703, 5.1334663087061916, 5.1348804436389281, 5.1360359273268505, 5.1369336792914631, 5.1375744169023907, 5.1379586537228583, 5.1380866983492579, 5.1380226794487633, 5.13783061221715, 5.1375104650871926, 5.1370621855255054, 5.1364857001505708, 5.1357809148989677, 5.1349477152409122, 5.1339859664456364, 5.1328955138983341, 5.1316761834706277, 5.1303277819459607, 5.1288500975025926, 5.1272429002565065, 5.1255059428675249, 5.1236389612112907, 5.1216416751212055, 5.1195137892041176, 5.1172549937340452, 5.1148649656288843, 5.1123433695157603, 5.1096898588896362, 5.1069040773728309, 5.1039856600816966, 5.1009342351074576, 5.097749425120198, 5.0944308491041044, 5.0909781242338772, 5.0873908679020543, 5.083668699909131, 5.0798112448280746, 5.0758181345560249, 5.0716890110676589, 5.0674235293850902, 5.063021360780759, 5.0584821962303597, 5.0538057501354974, 5.0489917643355167, 5.044040012430921, 5.0389503044412072, 5.0337224918223633, 5.0283564728712165, 5.0228521985440757, 5.017209678721759, 5.0114289889521384, 5.0055102777059712, 4.9994537741818021, 4.993259796699669, 4.9869287617244691, 4.9804611935625989, 4.9738577347773765, 4.9671191573712479, 4.9602463747850356, 4.953240454765921, 4.946102633158306, 4.9388343286729093, 4.931437158690982, 4.9239129561607982, 4.9162637876453665, 4.908491972577818, 4.9006001037821045, 4.8925910693132026, 4.8844680756683294, 4.8762346724167323, 4.8678947782884228, 4.8594527087561135, 4.8509132051327146, 4.8422814651964003, 4.8335631753380559, 4.8247645442096143, 4.8158923378279015, 4.8069539160642707, 4.7979572704188298, 4.7889110629431917, 4.7798246661345862, 4.7707082035779642, 4.7615725910593278, 4.7524295778141061, 4.7432917875083165, 4.7341727584759496, 4.7250869826562552, 4.7160499425861779, 4.7070781457101996, 4.6981891551700299, 4.689401616131982, 4.6807352766048744, 4.6722110015919025, 4.6638507793170456, 4.655677718165089, 4.6477160328865859, 4.6399910185425624, 4.632529010610666, 4.6253573296457571, 4.6185042088948416, 4.6119987033136791, 4.6058705785288447, 4.6001501784442365, 4.5948682704074795, 4.5900558671433282, 4.5857440250255284, 4.5819636187036741, 4.578745092626856, 4.5761181906058557, 4.5741116652269165, 4.5727529696563121, 4.5720679351441609, 4.5720804383203708, 4.57281206315196, 4.5742817631666952, 4.5765055302036446, 4.5794960764943058, 4.5832625372652513, 4.5878102012520667, 4.5931402764876026, 4.5992496984569762, 4.6061309871723957, 4.613772158919887, 4.6221566973645389, 4.6312635874066199, 4.6410674136868533, 4.6515385240021665, 4.6626432561719673, 4.6743442251637841, 4.686600665613498, 4.6993688233388493, 4.7126023881100485, 4.7262529588641371, 4.7402705317821168, 4.7546040012099633, 4.7989827220831405, 4.8443622457254971, 4.8894639764975878, 4.9331885806680198, 4.9746639385303633, 5.0132599574409893, 5.0485764669951552, 5.0804131098886529, 5.1087301354525323, 5.1336073088435841, 5.1552058211784741, 5.1737358790424537, 5.1894309461397219, 5.202528493214726, 5.2132565057260596, 5.2218247607832344, 5.2284198755526665, 5.2332032381435729, 5.236311083614698, 5.2378561274007618, 5.2379302938588044, 5.2366081714534944, 5.2339508901297203, 5.2300101574040667, 5.2248322164973926, 5.2184615113891821, 5.2109438676610651, 5.2023290297910831, 5.1926724376869489, 5.1820361772421073, 5.1704890984130749, 5.1581061546121632, 5.1449670729519568, 5.1311545100553531, 5.1167518779067374, 5.1018410357116055, 5.0865000364924438, 5.0708010931380434, 5.054808891772554, 5.0385793358221376, 5.0221587576218516, 5.0055835909682687, 4.9888804617381188, 4.9720666271216745, 4.955150678178792, 4.9381334149318059, 4.9210088066543953, 4.903764960365339, 4.8863850355522249, 4.8688480607034741, 4.8511296255226428, 4.8332024403733316, 4.8150367706302575, 4.7966007676550788, 4.7778607298088565, 4.7587813361743807, 4.7393259024645378, 4.7194567128935452, 4.6991354834477033, 4.6783240107447597, 4.6569850561073203, 4.635083506065234, 4.6125878376624625, 4.5894718991323264, 4.5657169933916624, 4.5413142234774888, 4.5162670262626641, 4.490593785239021, 4.4643303776944947, 4.4375324803329423, 4.4102774354946419, 4.3826654734713397, 4.3548201006005849, 4.3268875021103499, 4.2990348746091378, 4.2714476934341317, 4.2443260283394713, 4.2178801373068469, 4.1923256812750287, 4.1678790028648054, 4.1447529959665284, 4.1231541653995549, 4.1032815515207117, 4.085328294984345, 4.0694867605432634, 4.0559583241704722, 4.0449691036674897, 4.0367929349668774, 4.0317824698658633, 4.0304078942902395, 4.0332997244466338, 4.0412866680650845, 4.0554113841030128, 4.0768975868743729, 4.1070362199661998, 4.1469657318177431, 4.197352670481048, 4.2580357602194585, 4.3277574977198086, 4.4041249883097402, 4.4838756474053172, 4.5633901951701246, 4.6392778798741938, 4.7088392241391688, 4.7702941933163263, 4.8227787241149507, 4.8661881563082883, 4.9009607479611779, 4.9278694326387882, 4.9478554478777834, 4.9619112624641168, 4.9710063852533777, 4.9760451268780299, 4.9778458811800865, 4.977133835105068, 4.9745415230136452, 4.9706136602390893, 4.9658141035670145, 4.9605336893884493, 4.9550982396184313, 4.9497763304317672, 4.9447865842139622, 4.9403043329602845, 4.9364675490318257, 4.9333819673621511, 4.9311253423123205, 4.9297507970663208, 4.9292892355557321, 4.9295971971637211, 4.9305173952198071, 4.9320386367065563, 4.9341418250605162, 4.936799300968036, 4.9399739261851598, 4.9436179182644482, 4.9476714479855914, 4.9520610164121672, 4.956697635107397, 4.9614748414537617, 4.9662665916639384, 4.9709250875973883, 4.9752786109179885, 4.9791294610108565, 4.9822521237513708, 4.9843918399530294, 4.9852637993761348, 4.9845532634754646, 4.9819170222365416, 4.9769867196892559, 4.9693747348270909, 4.9586834628763672, 4.9445189677429173, 4.9265099996787853, 4.9043331826016061, 4.8777446261906778, 4.8466171534860711, 4.8109806609066155, 4.7710609293912674, 4.727309889277107, 4.6804187205113932, 4.6313053550563197, 4.5810709299757093, 4.5309257062695485, 4.4820927127547749, 4.4357043312625875, 4.392710278940652, 4.3538132405907977, 4.3194413661341153, 4.2897577047207225, 4.2646987765499702, 4.2440302153291247, 4.2274071927136303, 4.2144300434529587, 4.2046894258538927, 4.1977990245797621, 4.1934164463585697, 4.1912544140193155, 4.1910848477397762, 4.1927382788115146, 4.1961005835609866, 4.2011084719308025, 4.2077446393591176, 4.2160330437663571, 4.2260344115809891, 4.2378417995094138, 4.2515758316069485, 4.2673790906484932, 4.285409076618742, 4.3058291723168853, 4.3287972021856111, 4.3544514583680751, 4.3828945036413014, 4.4141756168465571, 4.4482733481217052, 4.4850801740709851, 4.524391529357092, 4.5659013907132877, 4.6092060158281232, 4.6538164240721276, 4.6991789190235611, 4.7447016737653218, 4.7897844367972047, 4.8338480028488275, 4.8763603090852472, 4.9168567692698639, 4.9549535231171644, 4.9903533877104564, 5.0228452258163081, 5.052298059613908, 5.0786515292308509, 5.1019042751111812, 5.1221016047469687, 5.1393234865196922, 5.1536735774154678, 5.1652696909352454, 5.1742358737564587, 5.1806960913835525, 5.1847694181825865, 5.1865665737219917, 5.1861876316110358, 5.1837207365660403, 5.179241690044341, 5.1728142967093165, 5.1644913975126778, 5.1543165460252611, 5.1423263093382232, 5.1285531901737436, 5.1130291694616101, 5.0957898550186043, 5.0768791885854849, 5.0563546075281023, 5.03429247809839, 5.0107935170304749, 4.9859878058028242, 4.960038892936331, 4.9331463980546948, 4.9055465073081077, 4.8775098146640277, 4.849336141618334, 4.8213462647398, 4.7938708731813762, 4.7672375110276448, 4.7417566494079439, 4.7177082892462074, 4.6953305434517363, 4.6748114565395751, 4.6562849166163653, 4.6398309784549285, 4.6254803558292341, 4.6132223627598821, 4.6030152618646447, 4.5947978418794619, 4.5885010785490223, 4.584058885635514, 4.5814171769942194, 4.5805406845927399], [4.7794723582909935, 4.779916380512212, 4.7812377987506922, 4.7834042794801643, 4.7863606314473808, 4.7900268235442409, 4.794295146171069, 4.7990264391373589, 4.804045267262766, 4.8091338666969046, 4.8140246061496983, 4.818390604126165, 4.8218340154027315, 4.823871354962419, 4.8239150915417444, 4.8212506816655001, 4.8150083755691924, 4.8041298140952682, 4.7873312470543574, 4.7630692240956733, 4.7295226133851269, 4.6846191493008806, 4.6261569848997963, 4.552098059403189, 4.4611205269816843, 4.3534622247625272, 4.2318949188546302, 4.102336159344512, 3.9733733982283277, 3.8543272385062366, 3.7525399201437457, 3.6714314708167501, 3.6104018338548949, 3.5662587575460272, 3.535007280740416, 3.5131050087519728, 3.4979774001126009, 3.4880135072494425, 3.4823318308626705, 3.4805108613324234, 3.4823723138784204, 3.4878376996314935, 3.4968480613503647, 3.5093276827083111, 3.5251736848943662, 3.544258017620932, 3.5664332778846206, 3.5915378086037419, 3.6193983394359184, 3.6498301429213478, 3.6826355401937696, 3.7176018637134085, 3.7544998925594761, 3.7930834899785815, 3.8330908167525504, 3.8742471518945432, 3.9162690767707651, 3.9588695964636571, 4.0017636883708123, 4.0446737719329766, 4.0873346638847012, 4.1294976948418975, 4.1709337903267896, 4.211435441817529, 4.2508175968762325, 4.2889175743667511, 4.325594159595787, 4.3607260575072377, 4.3942098849181592, 4.4259578712556991, 4.4558954172151104, 4.483958637237075, 4.5100919886073552, 4.5342460700793579, 4.556375657991369, 4.5764380389211343, 4.5943916954653137, 4.6101954058398977, 4.6238078284712856, 4.6351876590339121, 4.6442944684530918, 4.6510903543679953, 4.6555425622277617, 4.6576272503375904, 4.6573345776125814, 4.6546752715929056, 4.6496887711000863, 4.6424529124366822, 4.6330949181742085, 4.6218031350342237, 4.6088385477528151, 4.5945445937535236, 4.579353290729788, 4.5637852992489831, 4.5484414687057129, 4.5339838772871701, 4.5211055443902142, 4.5104898735479431, 4.5027632129353634, 4.4984461402886655, 4.4979104543210759, 4.5013487440080899, 4.5087615815297601, 4.519964215603717, 4.5346110147855487, 4.5522328754224848, 4.572281151680845, 4.5941716276555145, 4.6173233319976523, 4.6411889737414764, 4.6652758096378353, 4.6891573818230041, 4.7124775927093685, 4.7349490301400401, 4.756347461082477, 4.7765041513327224, 4.7952972937552261, 4.8126434440474402, 4.8284895299208905, 4.8428057403123033, 4.8555794166937929, 4.8668099482101796, 4.8765046017719662, 4.884675183241348, 4.8913354146451313, 4.8964989159517938, 4.9001776920409172, 4.9023810419208607, 4.9031148254998698, 4.9029927016989179, 4.9026262292460352, 4.9020151051844607, 4.9011588252360703, 4.9000566847900195, 4.8987077803168058, 4.8971110112367668, 4.8952650822825898, 4.8931685064041845, 4.890819608275299, 4.8882165284717694, 4.8853572284041853, 4.8822394960994178, 4.8788609529422811, 4.8752190615008368, 4.8713111345800719, 4.8671343456647556, 4.8626857409350981, 4.8579622530620314, 4.8529607170142333, 4.8476778881389757, 4.8421104628089058, 4.8362551019639453, 4.8301084579147497, 4.8236672048172649, 4.8169280732753847, 4.8098878895789694, 4.8025436201414173, 4.7948924217610642, 4.7869316983968861, 4.7786591652189996, 4.7700729207693975, 4.7611715281471012, 4.7519541062135859, 4.7424204318980587, 4.7325710547641568, 4.7224074250809149, 4.7119320367127049, 4.7011485862055027, 4.6900621494885693, 4.678679377629293, 4.6670087130574389, 4.6550606276049074, 4.6428478835699032, 4.6303858187894438, 4.6176926563673355, 4.6047898392269015, 4.5917023890026858, 4.5784592879156722, 4.5650938811429986, 4.5516442957520242, 4.5381538704627253, 4.5246715882850674, 4.5112525014015548, 4.4979581344976216, 4.4848568490736103, 4.4720241471258753, 4.459542888038059, 4.4475033877255328, 4.4360033642675463, 4.4251476898052324, 4.4150479048770981, 4.4058214492630645, 4.397590563615994, 4.3904808196181788, 4.3846192441171166, 4.3801320156523182, 4.3771417307931735, 4.3757642631829707, 4.3761052699349996, 4.3782564369724577, 4.382291594888299, 4.3882628765592742, 4.3961971225987835, 4.4060927654852593, 4.4179174323711212, 4.4316064953502421, 4.4470627632174526, 4.4641574500523884, 4.4827324762422522, 4.5026040633183433, 4.5235674847484493, 4.5454027419279477, 4.5678808594136822, 4.5907704454068963, 4.6138441484823041, 4.6368846608293595, 4.6596899683252602, 4.6820776211364796, 4.7038878853065693, 4.7249857253000842, 4.74526165010756, 4.7646315239241064, 4.7830354921956229, 4.8004362035638515, 4.8168165190829138, 4.8321768949809858, 4.8465326081642424, 4.8599109688103468, 4.8723486356679082, 4.8838891202871508, 4.894580538734016, 4.9044736449419286, 4.9136201595482589, 4.9220713920833603, 4.9298771425540417, 4.9370848603522868, 4.9437390334506439, 4.9498807784045633, 4.9555476011781749, 4.9607732997128267, 4.9655879810172969, 4.9700181680109035, 4.9740869741072853, 4.9778143263792565, 4.9812172209367684, 4.9843099967815707, 4.9871046168061666, 4.9896109467492122, 4.991837024788623, 4.9937893160521609, 4.9954729476638278, 4.9968919210446536, 4.9980492990696499, 4.9989473663777027, 4.9995877616618989, 4.9999715811631589, 5.0000994528743501, 4.9999715811631544, 4.9995877616619078, 4.9989473663776911, 4.9980492990696561, 4.9968919210446598, 4.9954729476638375, 4.9937893160521636, 4.9918370247886292, 4.9896109467492158, 4.9871046168061586, 4.9843099967815689, 4.9812172209367773, 4.9778143263792636, 4.9740869741072951, 4.9700181680108972, 4.9655879810173005, 4.9607732997128231, 4.9555476011781705, 4.9498807784045358, 4.9437390334506421, 4.937084860352309, 4.92987714255404, 4.9220713920833523, 4.9136201595482483, 4.9044736449419064, 4.8945805387340133, 4.8838891202871713, 4.8723486356678798, 4.8599109688103361, 4.8465326081642184, 4.8321768949809574, 4.8168165190829226, 4.8004362035638692, 4.7830354921956042, 4.7646315239241268, 4.7452616501076061, 4.7249857253000886, 4.7038878853065658, 4.6820776211365009, 4.6596899683252753, 4.6368846608293417, 4.6138441484823147, 4.5907704454068838, 4.5678808594136378, 4.5454027419279948, 4.5235674847484457, 4.5026040633183779, 4.4827324762422416, 4.4641574500523946, 4.4470627632174704, 4.4316064953502261, 4.4179174323711141, 4.406092765485262, 4.3961971225988092, 4.3882628765592804, 4.382291594888299, 4.3782564369724213, 4.3761052699349827, 4.3757642631829814, 4.3771417307931824, 4.3801320156523298, 4.3846192441171068, 4.3904808196181841, 4.3975905636159771, 4.4058214492630761, 4.415047904877083, 4.4251476898052307, 4.4360033642675631, 4.4475033877255372, 4.4595428880380412, 4.4720241471258788, 4.4848568490736209, 4.4979581344976172, 4.5112525014015326, 4.5246715882850497, 4.538153870462736, 4.551644295752034, 4.5650938811430075, 4.5784592879156882, 4.5917023890026885, 4.604789839226882, 4.6176926563673595, 4.6303858187894766, 4.6428478835699183, 4.6550606276049074, 4.6670087130574309, 4.6786793776293001, 4.690062149488579, 4.7011485862055276, 4.7119320367127164, 4.7224074250809069, 4.7325710547641586, 4.7424204318980756, 4.751954106213601, 4.761171528147087, 4.7700729207694028, 4.7786591652190245, 4.7869316983968897, 4.7948924217610882, 4.8025436201414351, 4.8098878895789641, 4.8169280732753856, 4.82366720481728, 4.8301084579147533, 4.836255101963963, 4.8421104628089129, 4.8476778881389508, 4.8529607170142359, 4.8579622530620084, 4.8626857409350865, 4.8671343456647422, 4.8713111345800844, 4.87521906150082, 4.8788609529422491, 4.8822394960994302, 4.8853572284041658, 4.888216528471772, 4.8908196082752928, 4.8931685064041748, 4.8952650822825916, 4.8971110112367784, 4.898707780316788, 4.9000566847900373, 4.9011588252360649, 4.9020151051844501, 4.9026262292460157, 4.9029927016989259, 4.9031148254999097, 4.9030537668924152, 4.9028705800509895, 4.9025652319401782, 4.9021376675735251, 4.9015878101225434, 4.9009155610703479, 4.9001208004110177, 4.8992033868953051, 4.8981631583244543, 4.8969999318941282, 4.8957135045899873, 4.8943036536376168, 4.8927701370092294, 4.8911126939906246, 4.8893310458111081, 4.8874248963406863, 4.885393932858479, 4.883237826896857, 4.8809562351664706, 4.8785488005680993, 4.8760151532962368, 4.8733549120423918, 4.8705676853047191, 4.8676530728114278, 4.8646106670674154, 4.8614400550327712, 4.8581408199436371, 4.8547125432858929, 4.8511548069342316, 4.847467195469096, 4.8436492986851958, 4.839700714307158, 4.8356210509282471, 4.8314099311900547, 4.8270669952215126, 4.8225919043586361, 4.8179843451661428, 4.8132440337854439, 4.808370720633981, 4.8033641954836224, 4.7982242929480403, 4.7929508984095257, 4.787543954420638, 4.7820034676155236, 4.776329516170752, 4.7705222578558919, 4.7645819387185222, 4.7585089024499654, 4.7523036004812464, 4.7459666028613627, 4.7394986099729426, 4.7329004651433184, 4.7261731682111385, 4.7193178901118342, 4.7123359885471618, 4.7052290248063979, 4.6979987818077706, 4.6906472834312938, 4.6831768152124758, 4.6755899464682509, 4.6678895539237555, 4.6600788469064733, 4.6521613941707756, 4.6441411524090119, 4.6360224964992724, 4.6278102515278263, 4.6195097266132876, 4.611126750541418, 4.6026677092014801, 4.5941395847889872, 4.5855499967123112, 4.5769072441050387, 4.5682203498060554, 4.5594991056217573, 4.550754118630671, 4.541996858227817, 4.533239703535104, 4.5244959907245015, 4.5157800597103783, 4.5071072995694372, 4.4984941919371346, 4.4899583515130557, 4.481518562681587, 4.4731948111209876, 4.4650083091381774, 4.4569815133243544, 4.4491381329904041, 4.4415031277055856, 4.4341026921430391, 4.4269642263292379, 4.4201162893167831, 4.4135885342531989, 4.4074116228174507, 4.4016171170482083, 4.3962373467050408, 4.3913052504995891, 4.3868541898131923, 4.3829177338983447, 4.3795294160431757, 4.3767224607707362, 4.3745294828482404, 4.3729821596884495, 4.3721108796298518, 4.3719443695618407, 4.3725093063957674, 4.3738299179338727, 4.3759275797189741, 4.3788204154100088, 4.3825229090659299, 4.3870455383824751, 4.3923944383525244, 4.3985711049639002, 4.405572148359103, 4.4133891043355922, 4.4220083121375424, 4.4314108651951987, 4.4415726398186459, 4.4524644049077029, 4.4640520135577404, 4.4762966751148232, 4.4891553038586789, 4.5025809381823381, 4.5165232219944293, 4.5309289382046236, 4.5457425826493107, 4.5609069657416503, 4.5763638285390789, 4.5920544598215898, 4.6399475944517476, 4.687908726543208, 4.7345990466984142, 4.77893345410717, 4.8201157103242807, 4.8576346823579479, 4.8912326397605712, 4.9208580089705025, 4.9466133074870617, 4.9687058366759178, 4.987405448240299, 5.0030110713450533, 5.0158259324477292, 5.0261404379430008, 5.0342213105633498, 5.0403055537154646, 5.0445979877346465, 5.0472713396348823, 5.0484681038009978, 5.0483035911128269, 5.0468697366657063, 5.0442393429258159, 5.0404705037722382, 5.0356109960194875, 5.0297024496135183, 5.0227841255951216, 5.0148961500118947, 5.0060820776074095, 4.99639069392554, 4.9858770083027322, 4.974602440539746, 4.9626342565083776, 4.950044357243244, 4.9369075668336873, 4.9232995921419214, 4.9092948391060727, 4.8949642652382774, 4.8803734271595642, 4.8655808487639529, 4.8506367943611082, 4.8355824869895745, 4.820449769923477, 4.8052611732867918, 4.7900303204196808, 4.7747625915541292, 4.7594559554113198, 4.7441018814147595, 4.728686254488121, 4.7131902287392551, 4.6975909736082579, 4.681862284442337, 4.6659750475185273, 4.6498975662674331, 4.6335957702599861, 4.6170333411033635, 4.6001717996593872, 4.5829706069351968, 4.5653873365849318, 4.5473779800940735, 4.5288974461459235, 4.5099003129710127, 4.4903418860580864, 4.470179602734607, 4.4493748090206342, 4.4278949121356774, 4.4057158837132171, 4.3828250543531766, 4.3592241007542665, 4.3349320847044197, 4.3099883625786237, 4.2844551501702011, 4.2584195073986315, 4.2319945079266894, 4.205319386467492, 4.1785585157155571, 4.1518991556312415, 4.1255480355539627, 4.0997269648594452, 4.0746678081911361, 4.0506072947363903, 4.0277822505894854, 4.0064259509722042, 3.9867663977926244, 3.9690274582819165, 3.9534339700794785, 3.9402221210340436, 3.9296565825613876, 3.9220558350640742, 3.9178265108209072, 3.9175057805894307, 3.9218069608317441, 3.9316567373534643, 3.9482025537106789, 3.9727580293416316, 4.0066495982754571, 4.0509412268953877, 4.1060586775219834, 4.1714077301542192, 4.2451460228438656, 4.3242626494825727, 4.4050064371603881, 4.4835335821073574, 4.5565373574855377, 4.6216550837849502, 4.6775815200591664, 4.7239478391288969, 4.7610819494642245, 4.7897524318070168, 4.8109548982480703, 4.825759703881852, 4.8352162879576355, 4.840300366424696, 4.8418897019345764, 4.8407571445979745, 4.837573177241695, 4.8329131267877434, 4.8272662581882058, 4.8210452669788859, 4.8145954436977583, 4.8082031910678342, 4.8021037750482138, 4.7964882772194608, 4.7915097453855475, 4.7872885438619379, 4.783916901276025, 4.7814626493603107, 4.7799721438265266, 4.7794723582909935, 4.7798057686852937, 4.7808027616664166, 4.7824535077681647, 4.7847412422464171, 4.7876416936883119, 4.7911222884406612, 4.7951411358132887, 4.7996458012350462, 4.8045718773300559, 4.8098413663691391, 4.8153608919143318, 4.8210197630099128, 4.8266879215145648, 4.8322138130289929, 4.8374222358646666, 4.8421122429951495, 4.8460552024392642, 4.8489931669498665, 4.8506377705382961, 4.8506699646101907, 4.8487410373953841, 4.8444755308342451, 4.837476874555624, 4.8273367752335812, 4.8136495800358317, 4.7960328797343612, 4.7741553807419788, 4.7477723587834131, 4.71676761022524, 4.6811986430736363, 4.6413390742266234, 4.5977094574943882, 4.5510862169165085, 4.5024794329414082, 4.4530749442480424, 4.4041442725087654, 4.3569350590484799, 4.3125614797774654, 4.2719152906026627, 4.2356128441828576, 4.2039837008944563, 4.1770962701804857, 4.1548088617310652, 4.136832195920193, 4.1227912045704853, 4.112277979783113, 4.1048920830833557, 4.1002678733286242, 4.0980906176223071, 4.0981040429969511, 4.1001120369558226, 4.1039767925048638, 4.1096151027973233, 4.1169939122238457, 4.1261257044506738, 4.1370638773526602, 4.1498979179105886, 4.1647479398898044, 4.1817579839807522, 4.2010874176480044, 4.2228998363509307, 4.2473490908008857, 4.2745624700470612, 4.3046216528250101, 4.3375427451825797, 4.3732574313797397, 4.411597797300745, 4.4522875350561426, 4.4949418378361559, 4.5390772983545249, 4.5841316623393142, 4.6294916651643501, 4.6745257947674839, 4.7186180383936973, 4.7611986755532261, 4.801768931112715, 4.8399175521040538, 4.8753287712868634, 4.9077823464309489, 4.93714720857571, 4.9633706510476934, 4.9864649982779383, 5.0064934297616199, 5.0235562333842196, 5.0377783348540275, 5.0492985694672141, 5.0582608650790304, 5.0648072989221058, 5.0690728665321121, 5.0711817414254421, 5.0712447908448404, 5.069358129524618, 5.0656025272680756, 5.0600435280305067, 5.0527321820193771, 5.0437063340492214, 5.0329924482677004, 5.0206079791350158, 5.0065643187938891, 4.9908703587599677, 4.9735366955078879, 4.9545804807438962, 4.934030863703736, 4.9119348916945356, 4.8883636264808983, 4.8634181037913393, 4.8372346252324361, 4.8099887502983663, 4.7818972846035939, 4.7532175779561916, 4.7242435877988394, 4.6952984484987166, 4.6667237028298114, 4.6388658467943351, 4.6120613231247836, 4.5866214628152271, 4.562819018597148, 4.5408778039622675, 4.5209665572955116, 4.5031975715049217, 4.4876299881542909, 4.4742770807790206, 4.4631164430899917, 4.4541017988646159, 4.4471751507997261, 4.4422781348326144, 4.4393616773639888, 4.4383933039223447], [4.6273366725738017, 4.6278078597124583, 4.6292123838371015, 4.6315228035420866, 4.6346922765699405, 4.6386528698508469, 4.64331312752911, 4.6485548168109387, 4.6542287271715201, 4.6601493360812318, 4.6660880679210726, 4.6717647555106154, 4.6768367594907261, 4.680885006966963, 4.6833959852333917, 4.6837385037621431, 4.6811339141190942, 4.6746186814172601, 4.662999228975977, 4.6448018337713171, 4.618226896289956, 4.5811301689739992, 4.5310772046867109, 4.4655523172559137, 4.3824372003706342, 4.2808601751901509, 4.1623597095435603, 4.0319262305558112, 3.8980494634305196, 3.7710050996653961, 3.6597608192550801, 3.5692666081959716, 3.4998000298314182, 3.4483571419709644, 3.4107367441954866, 3.3830999940115491, 3.3626496759811069, 3.3476641242966712, 3.3372386512764352, 3.330976323037222, 3.3287380564720013, 3.3304786066265448, 3.3361570318624172, 3.3456989730884117, 3.3589891592512817, 3.3758779320654786, 3.3961914693178192, 3.4197402501240513, 3.4463237402420117, 3.4757313818623814, 3.5077410378391476, 3.5421163787376484, 3.5786045832987217, 3.6169353587236008, 3.6568218293851258, 3.6979633973118089, 3.740050313436126, 3.7827694518119799, 3.8258106595718862, 3.8688730515616307, 3.9116707038402079, 3.9539373408981722, 3.9954297739515456, 4.0359300040344417, 4.0752460345836941, 4.1132115338199124, 4.1496845456096976, 4.1845454725551132, 4.2176945539818993, 4.2490490425903058, 4.2785402546535618, 4.3061106363327548, 4.3317109578205333, 4.3552977209348045, 4.3768308464451087, 4.3962716958601487, 4.4135814790253063, 4.4287201036764978, 4.4416455358425404, 4.4523137601814486, 4.4606794560692951, 4.4666975368309023, 4.4703257327832802, 4.4715284283472823, 4.4702819804764484, 4.4665817364143017, 4.460450913804813, 4.4519513799071078, 4.4411961395913426, 4.4283629865197867, 4.4137082754336365, 4.3975791566988311, 4.3804219571704301, 4.3627838553618776, 4.3453048296493355, 4.3286973464901788, 4.3137126364888729, 4.3010947060474418, 4.2915261206546038, 4.2855723444539651, 4.2836330700669567, 4.2859087072924371, 4.2923877784821149, 4.302856953378499, 4.3169310463913577, 4.3340968262391746, 4.3537628493056353, 4.3753078787762609, 4.3981222805124078, 4.4216392626125343, 4.4453551768319324, 4.4688398453841565, 4.4917388658468482, 4.5137701710653531, 4.5347169844674955, 4.5544189283844476, 4.5727625816869502, 4.5896723489089712, 4.6051021473981217, 4.6190281557554265, 4.6314426885578834, 4.642349152645747, 4.6517579809924019, 4.6596834153204894, 4.6661410056071757, 4.6711457043605487, 4.6747104499624532, 4.6768451526620236, 4.6775560168159087, 4.6774395501840731, 4.6770900508541349, 4.6765072206829963, 4.6756905633047214, 4.6746393849530667, 4.6733527956425132, 4.671829710736378, 4.670068852941065, 4.6680687547743505, 4.6658277615665149, 4.6633440350639388, 4.6606155577177582, 4.6576401377522529, 4.6544154151248724, 4.6509388685026911, 4.6472078234022343, 4.6432194616566473, 4.6389708323984706, 4.63445886477116, 4.6296803826099051, 4.6246321213649253, 4.6193107475735484, 4.6137128812282668, 4.6078351214299609, 4.6016740757638797, 4.5952263938900604, 4.5884888058978932, 4.5814581660404681, 4.5741315025351108, 4.5665060741952148, 4.5585794347427129, 4.5503495057423331, 4.5418146591962962, 4.5329738109415461, 4.5238265260997137, 4.5143731379391241, 4.5046148816195872, 4.4945540443952039, 4.4841941339479154, 4.4735400666026859, 4.4625983772305737, 4.4513774526595995, 4.439887790374601, 4.4281422841738616, 4.4161565382370771, 4.4039492107156892, 4.3915423874455897, 4.3789619856569724, 4.3662381865668252, 4.3534058944209164, 4.3405052178426509, 4.327581967167319, 4.3146881587228325, 4.3018825136909253, 4.2892309351928732, 4.2768069425647646, 4.2646920364386247, 4.2529759623176702, 4.2417568340162806, 4.2311410719490583, 4.2212431052923076, 4.2121847821975917, 4.2040944294325833, 4.1971055032010396, 4.1913547777925029, 4.1869800295696296, 4.1841171919985882, 4.1828969840600978, 4.1834410499133385, 4.1858576916205417, 4.1902373271958027, 4.1966478596893904, 4.2051301941613666, 4.2156941814050919, 4.2283152924147247, 4.2429323282939304, 4.2594464406432584, 4.2777216746896514, 4.2975871533081271, 4.3188409016112939, 4.3412551808320812, 4.3645830721510253, 4.3885659423243082, 4.4129413479939892, 4.4374509043416541, 4.4618476597299548, 4.4859025775895303, 4.5094098203722757, 4.5321906441918571, 4.5540958317511198, 4.5750067015128844, 4.5948348222406343, 4.6135206277389997, 4.6310311649531384, 4.6473572213088312, 4.6625100686371495, 4.6765180368897896, 4.6894230970180262, 4.7012775941778528, 4.7121412341107636, 4.7220783901828662, 4.7311557680026111, 4.7394404396502017, 4.7469982404448219, 4.7538925074460776, 4.7601831298341741, 4.7659258761114156, 4.7711719608770391, 4.7759678139761075, 4.7803550164440916, 4.7843703703121534, 4.7880460725739917, 4.7914099671195141, 4.794485851975093, 4.797293822597668, 4.7998506351411319, 4.8021700764904072, 4.8042633304084097, 4.8061393313591987, 4.8078050994617589, 4.809266051614113, 4.8105262851281632, 4.8115888312621689, 4.8124558768560668, 4.8131289528982188, 4.8136090893062526, 4.8138969355206092, 4.8139928467118027, 4.8138969355206074, 4.8136090893062633, 4.8131289528982064, 4.8124558768560739, 4.811588831262176, 4.8105262851281747, 4.8092660516141157, 4.8078050994617643, 4.8061393313591996, 4.8042633304084053, 4.8021700764904045, 4.7998506351411443, 4.797293822597676, 4.7944858519751028, 4.7914099671195061, 4.7880460725739953, 4.7843703703121525, 4.7803550164440907, 4.7759678139760826, 4.7711719608770373, 4.7659258761114378, 4.7601831298341715, 4.7538925074460714, 4.7469982404448112, 4.7394404396501812, 4.7311557680026093, 4.7220783901828831, 4.7121412341107387, 4.7012775941778422, 4.6894230970180022, 4.6765180368897621, 4.6625100686371566, 4.6473572213088472, 4.6310311649531197, 4.6135206277390193, 4.594834822240677, 4.575006701512887, 4.5540958317511153, 4.5321906441918767, 4.5094098203722925, 4.4859025775895134, 4.4618476597299637, 4.4374509043416408, 4.4129413479939448, 4.3885659423243553, 4.3645830721510217, 4.3412551808321185, 4.3188409016112832, 4.2975871533081325, 4.2777216746896718, 4.2594464406432433, 4.2429323282939206, 4.2283152924147238, 4.2156941814051221, 4.2051301941613728, 4.1966478596893904, 4.1902373271957618, 4.1858576916205212, 4.1834410499133439, 4.1828969840601093, 4.184117191998598, 4.186980029569618, 4.1913547777925118, 4.1971055032010218, 4.204094429432593, 4.2121847821975766, 4.2212431052923058, 4.2311410719490743, 4.2417568340162868, 4.2529759623176542, 4.2646920364386274, 4.2768069425647735, 4.2892309351928706, 4.3018825136909014, 4.3146881587228121, 4.327581967167327, 4.3405052178426606, 4.3534058944209253, 4.3662381865668429, 4.3789619856569733, 4.3915423874455675, 4.4039492107157141, 4.41615653823711, 4.4281422841738722, 4.4398877903746001, 4.4513774526595915, 4.4625983772305799, 4.4735400666026948, 4.4841941339479376, 4.4945540443952163, 4.5046148816195766, 4.5143731379391268, 4.5238265260997332, 4.5329738109415612, 4.5418146591962811, 4.5503495057423358, 4.5585794347427351, 4.5665060741952184, 4.5741315025351383, 4.5814581660404832, 4.5884888058978888, 4.5952263938900586, 4.6016740757638965, 4.6078351214299644, 4.6137128812282828, 4.6193107475735529, 4.6246321213649013, 4.629680382609906, 4.634458864771136, 4.6389708323984582, 4.6432194616566322, 4.6472078234022485, 4.6509388685026742, 4.6544154151248414, 4.6576401377522654, 4.6606155577177359, 4.6633440350639415, 4.6658277615665131, 4.6680687547743425, 4.6700688529410668, 4.6718297107363842, 4.6733527956424989, 4.6746393849530854, 4.675690563304717, 4.6765072206829865, 4.6770900508541162, 4.6774395501840802, 4.6775560168159496, 4.677497786688658, 4.6773230848453498, 4.6770318769211094, 4.6766241057070799, 4.676099691249533, 4.6754585309896237, 4.6747004999449571, 4.6738254509336103, 4.6728332148423917, 4.6717236009413998, 4.6704963972464393, 4.6691513709321084, 4.6676882687980434, 4.6661068177918228, 4.6644067255914425, 4.6625876812517255, 4.6606493559187614, 4.6585914036170637, 4.6564134621147675, 4.6541151538730192, 4.6516960870847344, 4.649155856810947, 4.6464940462217195, 4.6437102279494091, 4.6408039655641531, 4.6377748151806601, 4.6346223272074276, 4.6313460482493243, 4.6279455231769093, 4.6244202973756785, 4.6207699191898488, 4.6169939425772357, 4.6130919299923034, 4.6090634555164876, 4.6049081082556285, 4.6006254960274982, 4.5962152493623618, 4.5916770258430502, 4.5870105148118059, 4.5822154424741344, 4.5772915774323524, 4.5722387366824728, 4.567056792113295, 4.5617456775464493, 4.5563053963615214, 4.5507360297513682, 4.5450377456575533, 4.5392108084381402, 4.533255589323808, 4.5271725777215774, 4.5209623934290857, 4.5146257998261206, 4.5081637181129572, 4.5015772426692431, 4.4948676576098139, 4.4880364546173501, 4.4810853521335474, 4.474016315994259, 4.4668315815932829, 4.4595336776623293, 4.4521254517530009, 4.4446100975052962, 4.4369911837844764, 4.4292726857618048, 4.421459018008961, 4.4135550696638894, 4.4055662417144683, 4.3974984864273869, 4.389358348930112, 4.3811530109254182, 4.3728903364873419, 4.3645789198474825, 4.3562281350348799, 4.3478481871778083, 4.3394501652125692, 4.3310460956700796, 4.3226489971264046, 4.3142729348074429, 4.3059330747283333, 4.2976457366276897, 4.289428444821354, 4.2812999759545098, 4.2732804024719524, 4.2653911304567078, 4.257654930312051, 4.2500959585779041, 4.2427397689929212, 4.2356133107343883, 4.2287449116055731, 4.2221642437949241, 4.215902269720945, 4.2099911654066258, 4.204464218816212, 4.1993557006466906, 4.1947007052130143, 4.1905349593179171, 4.1868945973646623, 4.1838159014752652, 4.1813350060217322, 4.1794875667748554, 4.1783083958243292, 4.1778310645165115, 4.1780874778795027, 4.1791074253286444, 4.1809181138356388, 4.1835436911460242, 4.1870047679847255, 4.1913179494269563, 4.1964953866487651, 4.2025443610335325, 4.2094669130123208, 4.2172595279913319, 4.2259128912065123, 4.2354117223157575, 4.2457346989753919, 4.2568544765830678, 4.2687378088480905, 4.2813457709729539, 4.2946340841065087, 4.3085535365077048, 4.3230504936922358, 4.3380674868895293, 4.3535438665597193, 4.3694165056525307, 4.385620535832583, 4.4020900991154521, 4.4187590972889916, 4.4355619221097191, 4.4861388686226213, 4.5357405238879984, 4.5830206050504696, 4.6269650713487485, 4.6669058111715733, 4.7024922035077585, 4.7336369400960283, 4.7604516220529121, 4.7831837375663717, 4.8021619601938266, 4.817752721976138, 4.8303282720605969, 4.8402448983427719, 4.8478293689817562, 4.8533716012944685, 4.8571218096878548, 4.8592907349829906, 4.8600519072146025, 4.8595451915021757, 4.8578810951920133, 4.8551454761891435, 4.8514043979282304, 4.8467089394538565, 4.8410998032792971, 4.8346115813298889, 4.8272765504853847, 4.8191278816913998, 4.8102021653776914, 4.8005411834458398, 4.7901928943555987, 4.7792116407084935, 4.767657634454177, 4.7555958187447338, 4.7430942426763121, 4.7302221113986151, 4.7170476863217985, 4.7036362070975759, 4.6900479893298472, 4.6763368220121944, 4.6625487503438121, 4.6487212874678692, 4.63488305749995, 4.6210538360729796, 4.6072449265137312, 4.5934597913458246, 4.5796948503780817, 4.5659403573495876, 4.552181275321205, 4.5383980846809653, 4.5245674746599471, 4.5106628877455783, 4.4966549048144389, 4.4825114761035678, 4.4681980186338652, 4.4536774140533062, 4.4389099519818025, 4.4238532728246929, 4.4084623707082269, 4.3926897216320064, 4.3764856039428786, 4.3597986774372481, 4.3425768832004845, 4.3247687179030736, 4.3063249227396767, 4.2872006075284679, 4.2673578038424083, 4.2467684070056491, 4.2254174257599004, 4.2033064120289083, 4.1804568947966274, 4.1569135969180486, 4.1327471788492876, 4.1080562373133107, 4.0829682984970805, 4.0576395916533698, 4.0322534735646087, 4.0070174955934563, 3.9821592555174798, 3.957921343865586, 3.9345558654309283, 3.9123191808367808, 3.8914676686572474, 3.872255464928513, 3.8549353115637306, 3.839763852370695, 3.8270129405209015, 3.8169886776360848, 3.810059766674033, 3.8066958768355463, 3.8075143282417225, 3.8133284524256261, 3.8251824637955236, 3.8443457076245595, 3.8722272138639671, 3.910169322217099, 3.9591030533116403, 4.0191115486097608, 4.0890394575024045, 4.1663477825039976, 4.2473653117557788, 4.3279111930924303, 4.4040638107617527, 4.4727831553963791, 4.5322033101586534, 4.5815946701890331, 4.6211194723766349, 4.6515239448072609, 4.6738642033105071, 4.6893057039754122, 4.6989970240388779, 4.7040015667798336, 4.7052679309452312, 4.7036231664239301, 4.6997780427150744, 4.6943376574132811, 4.6878136741685532, 4.6806363372866002, 4.6731654729817516, 4.6657002415643252, 4.6584876601920726, 4.6517300088509925, 4.6455912453446766, 4.6402025347171483, 4.6356669689994847, 4.6320635257799836, 4.6294502930214607, 4.6278669733407698, 4.6273366725738017, 4.6276903935997149, 4.6287487665058658, 4.6305033226362209, 4.6329396208008813, 4.6360367584569007, 4.6397666900846852, 4.6440933556319042, 4.6489716229036446, 4.6543460488782626, 4.6601494661370007, 4.666301401961082, 4.6727063393240069, 4.6792518313471962, 4.6858064844947487, 4.692217832113144, 4.6983101309573971, 4.7038821323208158, 4.7087049110824815, 4.7125198870181908, 4.715037251670938, 4.7159351310071447, 4.7148599789092929, 4.711428915323137, 4.7052349906324178, 4.6958566468061127, 4.6828728884664512, 4.6658857462305718, 4.6445513107925569, 4.6186196795256222, 4.5879823374012441, 4.5527227054162429, 4.513162151217613, 4.4698906205061082, 4.4237698051177405, 4.375899161168193, 4.3275419978599308, 4.2800191347283469, 4.2345878338155831, 4.1923294171115995, 4.1540672221135599, 4.1203278233746108, 4.0913465376852249, 4.0671079502528453, 4.0474067836914198, 4.0319143518855345, 4.0202394208879451, 4.0119771864794869, 4.0067444408367603, 4.0042019666755193, 4.0040666943406515, 4.0061165350008645, 4.010190508049801, 4.0161861804621823, 4.0240557666119239, 4.03380162087839, 4.045471339062912, 4.0591522777029772, 4.0749650026334923, 4.0930549965990224, 4.1135819118097379, 4.1367057814200434, 4.1625699404218732, 4.1912809695567725, 4.2228867378490049, 4.2573544797009042, 4.2945516158516215, 4.3342324646870711, 4.3760338433161206, 4.4194816797447265, 4.4640092016138526, 4.5089853280960401, 4.5537500468382728, 4.5976523108725598, 4.6400856816724581, 4.6805176214386917, 4.7185097497481721, 4.7537280952157284, 4.7859439502193872, 4.8150270662078345, 4.8409334906843444, 4.8636903962424451, 4.8833799386734675, 4.9001236819989327, 4.9140685924361325, 4.9253751289506642, 4.9342075924593445, 4.9407266478259961, 4.9450837886192938, 4.9474174505222202, 4.9478504706297892, 4.9464886155614529, 4.9434199454638303, 4.9387148327800059, 4.9324265074182891, 4.9245920498992213, 4.9152337992277584, 4.9043611815025097, 4.891972997592779, 4.8780602320175017, 4.8626094579217369, 4.845606911029404, 4.8270432837290702, 4.8069192433917109, 4.7852516013728765, 4.7620799479958178, 4.737473426338477, 4.711537154549057, 4.6844176449493, 4.6563064434292771, 4.6274411698403206, 4.5981032263117791, 4.5686116901224132, 4.5393133249678606, 4.5105691877574987, 4.4827388867851763, 4.4561640357717645, 4.4311527193526148, 4.4079667512946026, 4.3868131530949164, 4.3678406775258258, 4.3511414825047314, 4.3367573792221012, 4.3246895619006702, 4.3149104428801586, 4.3073761671411832, 4.30203851443909, 4.2988551399471984, 4.2977973833098986], [4.4736399906979338, 4.4741310809457664, 4.475596821811914, 4.478014350387598, 4.4813446431365334, 4.4855311091083951, 4.4904975571257637, 4.4961454595577619, 4.5023503917009551, 4.5089574635844922, 4.5157754731914519, 4.522569387879587, 4.5290505937209495, 4.5348641294974277, 4.5395718353792409, 4.5426300017845085, 4.5433597466000162, 4.5409081204675594, 4.5341982008815913, 4.5218680094693449, 4.5022026929293881, 4.4730752878312856, 4.431933704698455, 4.3759107763510006, 4.3021874617538867, 4.2087716550934813, 4.0957636976042258, 3.9668103504063601, 3.8298234823594246, 3.6957673597557346, 3.5753490727709902, 3.4754151776916151, 3.3974610790280817, 3.3388254126210426, 3.2950921786270793, 3.2620482538751134, 3.2365964965397267, 3.2168554392654554, 3.201877687530752, 3.1912925419236569, 3.1850134298110544, 3.1830458425245323, 3.1853837715292297, 3.1919681495458581, 3.202681528756107, 3.2173593887806287, 3.2358054512291212, 3.2578042709503472, 3.2831286030058298, 3.3115416730145459, 3.3427958278896912, 3.3766294872712157, 3.4127641834487159, 3.4509030278186597, 3.4907313650288696, 3.5319198062740798, 3.5741293600325852, 3.6170180525348314, 3.6602482677932251, 3.7034940255414224, 3.7464475215017199, 3.788824433784705, 3.8303677070280702, 3.8708497245388371, 3.9100729425991356, 3.9478691774747094, 3.9840978028718896, 4.0186431397246274, 4.0514113115155865, 4.082326808233895, 4.1113289609674899, 4.1383684853614895, 4.1634042117072418, 4.186400086030015, 4.2073225022590544, 4.2261380112575839, 4.242811448316484, 4.2573045264823408, 4.2695749584892075, 4.2795761946606348, 4.2872578972555333, 4.2925673119721806, 4.2954517419058025, 4.2958623729060523, 4.2937597327107229, 4.2891210743404615, 4.2819499342603118, 4.2722879963419791, 4.2602291550548621, 4.2459352759817994, 4.2296525725010206, 4.2117267662915072, 4.192614360638709, 4.1728866203324815, 4.1532225298538368, 4.1343874771939362, 4.1171960148451872, 4.1024598507134655, 4.0909258148020644, 4.0832119880140576, 4.0797522083704854, 4.0807587343035419, 4.0862096848800151, 4.0958628076266637, 4.1092917586011239, 4.12593710297066, 4.1451626758082671, 4.1663087994503663, 4.1887363483687663, 4.2118586982492241, 4.2351612846054492, 4.2582103385229253, 4.2806532832581494, 4.3022134466186746, 4.3226814458416971, 4.3419050880396126, 4.3597790807102985, 4.3762353651653356, 4.3912345118336509, 4.4047583529736416, 4.4168038591458751, 4.4273781684563849, 4.436494630539058, 4.4441697128401989, 4.4504206219056162, 4.4552635080581311, 4.4587121423463776, 4.4607769765589724, 4.4614645186661495, 4.4613534198972147, 4.4610200255306234, 4.4604640415155332, 4.4596849782005892, 4.4586821509974346, 4.4574546813383762, 4.4560014979562439, 4.4543213385247471, 4.4524127517063334, 4.4502740996655561, 4.4479035611166999, 4.4452991349876037, 4.4424586447937795, 4.4393797438347331, 4.4360599213376117, 4.4324965096962403, 4.4286866929715725, 4.4246275168451206, 4.4203159002432519, 4.4157486488797977, 4.4109224709992789, 4.4058339956392816, 4.4004797937751299, 4.3948564027563117, 4.388960354498078, 4.382788207952089, 4.3763365864459205, 4.3696022205562945, 4.3625819972627689, 4.355273016220206, 4.3476726540877975, 4.3397786379619712, 4.3315891290785657, 4.3231028180768947, 4.3143190332534163, 4.3052378633727448, 4.2958602967495265, 4.2861883784574593, 4.2762253876609053, 4.2659760371871105, 4.2554466975588108, 4.244645647766788, 4.2335833550671342, 4.2222727860118807, 4.2107297507342443, 4.1989732821732249, 4.1870260513899797, 4.1749148193410095, 4.1626709243652158, 4.1503308031285231, 4.1379365407654243, 4.1255364433558617, 4.1131856225779009, 4.1009465782780916, 4.0888897597179881, 4.0770940803354012, 4.0656473540108475, 4.0546466131549721, 4.0441982606710551, 4.0344179994213709, 4.0254304749062966, 4.0173685604082872, 4.0103722101502566, 4.0045868066869001, 4.0001609356913681, 3.9972435365560335, 3.9959804027242565, 3.9965100428631799, 3.9989589633326439, 4.0034364928193407, 4.0100293382755527, 4.0187961317225724, 4.0297622918001155, 4.0429155719117595, 4.0582026873767809, 4.0755273971775594, 4.0947503551179638, 4.1156909395841144, 4.1381311270158418, 4.1618213056087798, 4.1864877527607165, 4.2118413454407531, 4.2375869588478547, 4.2634329517073892, 4.289100143707806, 4.3143297590220664, 4.33888992735851, 4.3625804818409302, 4.3852359500079636, 4.4067267806234005, 4.4269589696518299, 4.4458723347502973, 4.4634377363905688, 4.479653558016194, 4.4945417437976598, 4.5081436586751042, 4.5205159896902076, 4.5317268573338367, 4.5418522563708326, 4.5509729011533517, 4.5591715129495904, 4.5665305570938095, 4.5731304156492536, 4.5790479659934249, 4.5843555262041544, 4.5891201231686152, 4.5934030378346584, 4.5972595829838454, 4.6007390715102412, 4.6038849367935661, 4.6067349708728047, 4.609321650407801, 4.6116725246231542, 4.6138106434020081, 4.6157550073492608, 4.6175210249227501, 4.6191209646232672, 4.6205643927416213, 4.6218585893022652, 4.6230089366403364, 4.6240192765337529, 4.6248922330119271, 4.6256294989120539, 4.6262320849792005, 4.626700530842049, 4.6270350775663722, 4.6272358017240975, 4.6273027110404508, 4.6272358017240975, 4.6270350775663838, 4.6267005308420348, 4.6262320849792085, 4.625629498912061, 4.6248922330119377, 4.6240192765337547, 4.6230089366403408, 4.6218585893022608, 4.6205643927416178, 4.6191209646232636, 4.6175210249227625, 4.6157550073492706, 4.6138106434020161, 4.6116725246231471, 4.609321650407801, 4.6067349708728065, 4.6038849367935679, 4.6007390715102163, 4.5972595829838427, 4.5934030378346788, 4.5891201231686125, 4.5843555262041482, 4.5790479659934142, 4.5731304156492367, 4.5665305570938104, 4.5591715129496029, 4.5509729011533295, 4.5418522563708237, 4.5317268573338163, 4.5205159896901845, 4.5081436586751105, 4.4945417437976714, 4.479653558016178, 4.4634377363905857, 4.4458723347503382, 4.4269589696518317, 4.4067267806233943, 4.3852359500079814, 4.3625804818409444, 4.3388899273584949, 4.3143297590220744, 4.2891001437077936, 4.2634329517073448, 4.2375869588479027, 4.2118413454407468, 4.1864877527607556, 4.1618213056087692, 4.1381311270158463, 4.1156909395841392, 4.0947503551179469, 4.0755273971775487, 4.0582026873767783, 4.0429155719117924, 4.0297622918001235, 4.0187961317225716, 4.0100293382755101, 4.0034364928193185, 3.9989589633326497, 3.996510042863191, 3.9959804027242671, 3.9972435365560228, 4.0001609356913761, 4.0045868066868824, 4.0103722101502663, 4.0173685604082721, 4.0254304749062966, 4.0344179994213869, 4.0441982606710605, 4.0546466131549561, 4.0656473540108511, 4.0770940803354119, 4.0888897597179854, 4.1009465782780694, 4.1131856225778796, 4.1255364433558706, 4.1379365407654358, 4.150330803128532, 4.1626709243652318, 4.1749148193410113, 4.1870260513899602, 4.1989732821732479, 4.2107297507342754, 4.2222727860118923, 4.2335833550671325, 4.2446456477667782, 4.255446697558817, 4.2659760371871194, 4.2762253876609257, 4.2861883784574717, 4.295860296749515, 4.3052378633727457, 4.314319033253434, 4.3231028180769089, 4.3315891290785524, 4.3397786379619747, 4.3476726540878214, 4.3552730162202078, 4.3625819972627928, 4.3696022205563088, 4.3763365864459169, 4.3827882079520881, 4.3889603544980922, 4.3948564027563153, 4.4004797937751459, 4.4058339956392851, 4.4109224709992567, 4.4157486488798003, 4.4203159002432288, 4.4246275168451081, 4.42868669297156, 4.432496509696251, 4.4360599213375931, 4.4393797438347011, 4.4424586447937919, 4.445299134987585, 4.4479035611167053, 4.4502740996655525, 4.4524127517063263, 4.4543213385247524, 4.4560014979562528, 4.4574546813383602, 4.4586821509974515, 4.4596849782005856, 4.4604640415155217, 4.4610200255306074, 4.4613534198972218, 4.4614645186661921, 4.461408972379143, 4.4612423216512287, 4.4609645308994681, 4.4605755408779526, 4.4600752687665226, 4.4594636082959971, 4.4587404299110389, 4.4579055809713921, 4.4569588859932558, 4.4559001469328496, 4.4547291435138581, 4.4534456336014872, 4.452049353625763, 4.4505400190575877, 4.4489173249405685, 4.4471809464830052, 4.445330539714325, 4.4433657422107178, 4.4412861738954028, 4.439091437919954, 4.4367811216319595, 4.4343547976375204, 4.4318120249657884, 4.4291523503437009, 4.4263753095911005, 4.4234804291457648, 4.420467227729902, 4.4173352181696881, 4.4140839093817714, 4.4107128085407128, 4.4072214234427598, 4.4036092650835181, 4.3998758504676063, 4.396020705670673, 4.3920433691750089, 4.3879433955032523, 4.3837203591749887, 4.3793738590147013, 4.3749035228406257, 4.3703090125672714, 4.3655900297572323, 4.3607463216591853, 4.3557776877744701, 4.3506839869952527, 4.3454651453628079, 4.3401211644961952, 4.3346521307469663, 4.3290582251383691, 4.3233397341521664, 4.3174970614300365, 4.3115307404612055, 4.3054414483324779, 4.2992300206207599, 4.2928974675132903, 4.2864449912446094, 4.2798740049439434, 4.2731861529896777, 4.2663833329725742, 4.2594677193699653, 4.2524417890371664, 4.2453083486220473, 4.23807056400842, 4.2307319918923483, 4.2232966135901329, 4.2157688711714894, 4.208153705999929, 4.2004565997506376, 4.1926836179566598, 4.1848414561130678, 4.1769374883382415, 4.1689798185572009, 4.1609773341272618, 4.1529397617742028, 4.1448777256438101, 4.1368028071999374, 4.1287276066125926, 4.1206658051787857, 4.1126322282032648, 4.1046429076333375, 4.096715143593892, 4.0888675638015384, 4.0811201796542544, 4.0734944375927293, 4.0660132641141109, 4.0587011025937203, 4.0515839398327893, 4.0446893200147729, 4.0380463435171627, 4.0316856478084286, 4.0256393674641204, 4.0199410701834992, 4.0146256655887758, 4.0097292835665286, 4.0052891189829021, 4.0013432397937647, 3.9979303559028434, 3.9950895466120682, 3.9928599451860434, 3.9912803799252856, 3.9903889722243999, 3.9902226933812872, 3.9908168834085225, 3.9922047367562166, 3.994416761641626, 3.9974802215403682, 4.001418569245442, 4.0062508856542571, 4.0119913369936588, 4.0186486654190947, 4.0262257287159366, 4.0347191050727362, 4.0441187784992012, 4.0544079193538405, 4.0655627726049639, 4.0775526638792972, 4.0903401301297251, 4.1038811779802158, 4.1181256686548497, 4.1330178240603717, 4.1484968442992516, 4.1644976228740411, 4.1809515423364356, 4.1977873303265349, 4.2149319540046326, 4.2323115298939182, 4.2498522261632559, 4.2674811353626438, 4.2851270974817544, 4.3374972038020152, 4.3877684031609778, 4.4346505355689851, 4.4772614834793867, 4.5151107320905588, 4.548041738179621, 4.5761547269093521, 4.5997273562724637, 4.6191443214253729, 4.6348410489465728, 4.6472623712015304, 4.6568346183097127, 4.6639485298169561, 4.6689502531532341, 4.6721380251819689, 4.6737626319738039, 4.6740302431159026, 4.6731066428762311, 4.6711222075916483, 4.6681772106656672, 4.664347189229888, 4.6596881986600236, 4.6542418306750131, 4.6480398931496367, 4.6411086576310794, 4.6334725836059549, 4.6251574338486012, 4.6161927071769879, 4.6066133357545906, 4.5964606236616659, 4.5857824399377467, 4.5746327193756189, 4.5630703638414811, 4.5511576713501505, 4.5389584454316081, 4.5265359503650462, 4.5139508769456, 4.5012594686521012, 4.4885119311951716, 4.4757512127144778, 4.4630122015796969, 4.4503213483426824, 4.4376966820364725, 4.4251481619342528, 4.4126782860453435, 4.400282867656947, 4.3879518905691066, 4.3756703608546221, 4.363419086039209, 4.3511753294237998, 4.3389133059025742, 4.3266045044544805, 4.3142178403226668, 4.3017196560041677, 4.2890736041673465, 4.2762404573887629, 4.2631778991917653, 4.2498403583661206, 4.236178953989147, 4.222141621866049, 4.2076734939843776, 4.1927176005175886, 4.1772159581508852, 4.1611110980198873, 4.144348070158836, 4.1268769378304109, 4.1086557434516111, 4.0896538876496669, 4.0698558149792632, 4.049264846368926, 4.0279069439588246, 4.0058341455871211, 3.9831273729293626, 3.9598983096654541, 3.9362900741664575, 3.9124764825884508, 3.8886598155537175, 3.8650671609690974, 3.8419455969273346, 3.8195566883366223, 3.7981709863180528, 3.778063434531052, 3.7595108057090805, 3.7427925269374294, 3.7281965103172321, 3.7160318579409592, 3.7066504388477335, 3.7004790507678669, 3.6980626081350114, 3.7001155838603523, 3.7075724783363189, 3.7216172708880753, 3.7436572482403645, 3.775193804825836, 3.8175458070251533, 3.8714212522137554, 3.9364227533268497, 4.0106824025772898, 4.0908625614967491, 4.1726395344632357, 4.2515356236019706, 4.3237635619754986, 4.3867638006598595, 4.4393192473194407, 4.4813434308529345, 4.5135250252789119, 4.5369797737917095, 4.5529850655504083, 4.5628106030115072, 4.5676274675701602, 4.5684700969807333, 4.5662292404909488, 4.5616606221476621, 4.5554000293498813, 4.5479797955422665, 4.5398442888619481, 4.5313635032996427, 4.5228446018731585, 4.5145415915982765, 4.5066634152256029, 4.4993807412989542, 4.4928316865431137, 4.4871266461796528, 4.4823523540411374, 4.4785752512098709, 4.4758442103077964, 4.474192641209342, 4.4736399906979338, 4.4740085807327024, 4.4751119877978134, 4.4769430401240529, 4.4794895095140514, 4.4827336993476967, 4.4866518694934392, 4.4912134996846227, 4.4963803931284945, 4.5021056220922864, 4.5083323168811926, 4.5149922989315066, 4.5220045577047978, 4.5292735698603828, 4.5366874582511914, 4.5441159885366202, 4.5514084042497922, 4.5583911096429954, 4.5648652276916231, 4.5706040943150725, 4.5753508076409473, 4.5788160440615089, 4.5806764941065135, 4.5805744741739698, 4.5781195437527495, 4.5728932969186564, 4.564458866864495, 4.5523769955906319, 4.5362306110147887, 4.5156594582916592, 4.4904051151090592, 4.4603643770307659, 4.4256454793264108, 4.3866174566687448, 4.343939505491452, 4.2985566039537924, 4.2516518598935242, 4.204555548302884, 4.1586232353739643, 4.1151059233489766, 4.0750387612427836, 4.0391694693353264, 4.007935602912962, 3.9814865242995152, 3.959736584995472, 3.9424328383374978, 3.9292227633972967, 3.9197124435668518, 3.9135108976561677, 3.9102602860811912, 3.9096540594789886, 3.9114460169715226, 3.9154531842464819, 3.921554869242474, 3.9296895301259807, 3.9398503803839753, 3.952080042958614, 3.9664640792940027, 3.9831228722477285, 4.0022011513707278, 4.0238544467672908, 4.048231986126078, 4.0754560449350699, 4.1055985230801886, 4.1386564805321608, 4.174529347959119, 4.2130012617286194, 4.2537321364724194, 4.2962604250235472, 4.3400189686690673, 4.3843631520902173, 4.4286082706518508, 4.4720712392840269, 4.5141110448176871, 4.5541628530351836, 4.5917622107990557, 4.6265578249621635, 4.6583133754301995, 4.6869002898524919, 4.7122841774288098, 4.7345077287366584, 4.7536725231872463, 4.7699215746843366, 4.7834237854415864, 4.7943608964983921, 4.8029170818356244, 4.8092710406316321, 4.8135902789963625, 4.8160272065426559, 4.8167166721775185, 4.8157746007937519, 4.8132974486471332, 4.8093622574319701, 4.8040271480947974, 4.7973321516792735, 4.7893003247300925, 4.7799391409608862, 4.7692421893126333, 4.7571912411973036, 4.7437587758075654, 4.7289110698055046, 4.7126119628471388, 4.6948273979291235, 4.6755307987019545, 4.6547092773258489, 4.6323705599859313, 4.6085503707190698, 4.5833198336237144, 4.556792257013524, 4.5291284843267245, 4.500539884479104, 4.4712880663464754, 4.441680589925487, 4.4120623355142454, 4.3828027589402501, 4.3542799222862252, 4.3268628103573779, 4.30089386777904, 4.2766737934578769, 4.2544503577418391, 4.2344124123774813, 4.2166894803925468, 4.2013565196269109, 4.188442810658568, 4.1779435265019167, 4.1698324183827555, 4.1640741537503905, 4.1606350883050753, 4.1594915591495347], [4.3192517850446022, 4.3197555421903884, 4.3212606554680031, 4.3237484295751809, 4.3271869626609361, 4.3315300060438062, 4.3367153108254133, 4.3426623911018298, 4.349269592949959, 4.3564102998047813, 4.3639280208791025, 4.3716299900321491, 4.3792787348096232, 4.3865808423793373, 4.3931718310625794, 4.3985956154924111, 4.402276529971398, 4.4034813060565661, 4.4012679989090389, 4.3944192041666694, 4.3813593956622574, 4.3600638466578872, 4.3279850848085912, 4.2820609077427925, 4.2189325309605632, 4.135576305504661, 4.0305486357067535, 3.9057566514853876, 3.7679318261001686, 3.6282456595122308, 3.4991117810321013, 3.389657821076633, 3.3030536943533741, 3.2372350286157681, 3.1876020256953139, 3.1494859040413905, 3.1193934044778846, 3.0952156091879206, 3.0759299129632094, 3.0611863662660577, 3.0509615507049914, 3.0453293666078656, 3.0443372805708599, 3.0479575201926403, 3.0560825962514873, 3.0685413762705851, 3.0851201214052972, 3.105580015744422, 3.1296679405570687, 3.1571205565843208, 3.187663495333839, 3.2210080634908329, 3.2568477352310885, 3.2948561653985386, 3.3346877401199038, 3.375980961548291, 3.4183643572527398, 3.4614641821106393, 3.5049129671662382, 3.5483579525494204, 3.5914685776168658, 3.6339424325327649, 3.6755093415331377, 3.7159334990687709, 3.7550137824522127, 3.792582502931753, 3.8285029307726326, 3.8626659486203523, 3.8949861658525431, 3.925397780326485, 3.9538504165160275, 3.9803051109009253, 4.0047305636129247, 4.0270997337865415, 4.0473868266376982, 4.0655647034374391, 4.0816027409673801, 4.0954651742095738, 4.1071099744816078, 4.1164883446291842, 4.1235449528674586, 4.128219076574057, 4.1304468846336579, 4.1301651471131517, 4.127316714932312, 4.1218581437298933, 4.1137698195676542, 4.1030688418402228, 4.089824681428782, 4.0741772044839282, 4.0563559890322338, 4.0366989582481505, 4.0156672925457579, 3.9938525818650832, 3.9719716242495751, 3.9508446743266896, 3.9313547642692868, 3.9143891075884487, 3.9007680747062472, 3.8911715818385955, 3.8860753009913309, 3.8857084947400429, 3.8900412083242841, 3.8988021627164868, 3.9115221441915011, 3.9275931191031073, 3.9463318658836823, 3.9670384231998073, 3.9890429546880606, 4.0117383301132579, 4.0345987676032351, 4.057186796484145, 4.0791516043299199, 4.1002218161597286, 4.1201952727344144, 4.1389277216503313, 4.1563216984843221, 4.1723163494455804, 4.1868785591640467, 4.1999954874320915, 4.2116684612809161, 4.2219080853870681, 4.2307303997564745, 4.2381539099167425, 4.2441973280876066, 4.2488778852432167, 4.2522100983235323, 4.254204901173515, 4.2548690707320507, 4.2547630399405332, 4.2544448506728481, 4.2539142123479978, 4.2531706409970704, 4.2522134597754393, 4.2510417997077754, 4.2496546006931464, 4.2480506128075755, 4.2462283979499817, 4.2441863318883444, 4.2419226067736151, 4.2394352342021895, 4.2367220489200639, 4.233780713279768, 4.2306087225749645, 4.2272034114009847, 4.2235619612084605, 4.2196814092437593, 4.2155586590977068, 4.211190493115442, 4.2065735869573295, 4.2017045266400599, 4.1965798284350431, 4.1911959620519879, 4.1855493775948096, 4.1796365368438799, 4.1734539494924254, 4.1669982150493956, 4.1602660712141555, 4.1532544496335166, 4.1459605400669597, 4.138381864114276, 4.1305163598000876, 4.122362478462569, 4.1139192955587793, 4.1051866371731451, 4.0961652242005133, 4.0868568363616804, 4.0772644983971222, 4.0673926909601317, 4.0572475888886013, 4.0468373296525826, 4.036172314836949, 4.0252655474945351, 4.0141330080589652, 4.0027940711922136, 3.9912719654016677, 3.9795942764213352, 3.9677934941265867, 3.9559076010326564, 3.9439806980979952, 3.9320636604730343, 3.9202148118616416, 3.9085006011481798, 3.8969962587596689, 3.8857864027907953, 3.8749655562068877, 3.8646385265679926, 3.8549205889851579, 3.8459374019849366, 3.8378245755248623, 3.8307268018925091, 3.8247964554387774, 3.8201915683248999, 3.8170730993945128, 3.8156014347878622, 3.8159320946599391, 3.8182106722228877, 3.8225670995925118, 3.8291094174335636, 3.8379173167527432, 3.8490358122505901, 3.8624694847255685, 3.8781777800282491, 3.8960718586945231, 3.9160134413233272, 3.9378159842345219, 3.9612483517839578, 3.9860409408801774, 4.0118939848299027, 4.0384875491537313, 4.0654925634938843, 4.0925821370552828, 4.1194423942629914, 4.1457821418326581, 4.1713408234242548, 4.1958944083261738, 4.2192590665084788, 4.2412926757571663, 4.2618943657170147, 4.281002415791221, 4.2985908854956305, 4.3146653712341871, 4.3292582618000059, 4.3424238177111274, 4.3542333381870213, 4.3647706138972726, 4.3741278008470026, 4.3824017955676426, 4.3896911465242336, 4.3960935019153338, 4.4017035691955302, 4.4066115453713666, 4.4109019677837331, 4.4146529310577174, 4.4179356156886707, 4.4208140760973071, 4.4233452399393451, 4.4255790752590061, 4.4275588872056213, 4.4293217111332508, 4.4308987737528795, 4.4323159984795213, 4.4335945351473205, 4.4347512978413581, 4.4357994977196524, 4.4367491603995557, 4.4376076197881824, 4.4383799821829584, 4.4390695560873077, 4.4396782445134635, 4.4402068976078102, 4.4406556242664612, 4.4410240620338985, 4.4413116050264385, 4.4415175899163595, 4.44164144017968, 4.4416827688720364, 4.4416414401796827, 4.441517589916371, 4.4413116050264243, 4.4410240620339074, 4.4406556242664683, 4.4402068976078226, 4.4396782445134635, 4.4390695560873104, 4.4383799821829539, 4.4376076197881824, 4.436749160399553, 4.4357994977196666, 4.434751297841367, 4.4335945351473276, 4.4323159984795124, 4.4308987737528778, 4.4293217111332543, 4.4275588872056248, 4.4255790752589821, 4.4233452399393425, 4.4208140760973285, 4.4179356156886698, 4.4146529310577129, 4.4109019677837242, 4.4066115453713532, 4.4017035691955346, 4.3960935019153453, 4.3896911465242141, 4.3824017955676364, 4.3741278008469822, 4.3647706138972513, 4.3542333381870231, 4.3424238177111389, 4.3292582617999864, 4.3146653712342049, 4.2985908854956678, 4.2810024157912219, 4.2618943657170094, 4.2412926757571832, 4.2192590665084913, 4.1958944083261596, 4.171340823424261, 4.1457821418326448, 4.1194423942629452, 4.0925821370553299, 4.065492563493879, 4.0384875491537695, 4.0118939848298929, 3.9860409408801809, 3.9612483517839876, 3.9378159842345051, 3.9160134413233174, 3.8960718586945196, 3.8781777800282868, 3.8624694847255738, 3.8490358122505852, 3.8379173167526952, 3.8291094174335401, 3.8225670995925181, 3.8182106722228979, 3.8159320946599489, 3.8156014347878515, 3.8170730993945212, 3.8201915683248808, 3.8247964554387854, 3.8307268018924945, 3.837824575524861, 3.8459374019849504, 3.8549205889851619, 3.8646385265679775, 3.8749655562068881, 3.885786402790806, 3.896996258759664, 3.9085006011481576, 3.9202148118616216, 3.9320636604730437, 3.943980698098005, 3.9559076010326653, 3.9677934941266013, 3.9795942764213379, 3.9912719654016495, 4.0027940711922341, 4.0141330080589954, 4.0252655474945485, 4.0361723148369464, 4.0468373296525719, 4.0572475888886057, 4.0673926909601414, 4.0772644983971436, 4.0868568363616902, 4.0961652242005027, 4.105186637173146, 4.1139192955587953, 4.1223624784625823, 4.1305163598000734, 4.1383818641142787, 4.1459605400669801, 4.1532544496335193, 4.1602660712141795, 4.1669982150494089, 4.173453949492421, 4.1796365368438781, 4.1855493775948247, 4.1911959620519896, 4.1965798284350582, 4.2017045266400661, 4.2065735869573082, 4.2111904931154438, 4.2155586590976837, 4.2196814092437478, 4.2235619612084498, 4.2272034114009935, 4.2306087225749476, 4.2337807132797387, 4.2367220489200763, 4.2394352342021699, 4.2419226067736178, 4.2441863318883417, 4.2462283979499746, 4.2480506128075799, 4.2496546006931535, 4.2510417997077603, 4.2522134597754553, 4.2531706409970651, 4.2539142123479881, 4.2544448506728321, 4.2547630399405376, 4.2548690707320924, 4.254816058353784, 4.2546570089775457, 4.2543918858946297, 4.2540206279757928, 4.2535431497493876, 4.2529593415117413, 4.2522690694710041, 4.2514721759250813, 4.2505684794755396, 4.2495577752794667, 4.2484398353410473, 4.2472144088455828, 4.2458812225386096, 4.2444399811536879, 4.2428903678918726, 4.241232044957437, 4.239464654154002, 4.2375878175461219, 4.2356011381917362, 4.2335042009520976, 4.2312965733845802, 4.228977806727106, 4.2265474369815497, 4.2240049861046458, 4.2213499633167624, 4.2185818665385719, 4.2157001839675248, 4.2127043958062309, 4.2095939761572572, 4.2063683950989743, 4.2030271209586729, 4.1995696228013619, 4.195995373153413, 4.1923038509826061, 4.1884945449571473, 4.1845669570097774, 4.1805206062334905, 4.1763550331393402, 4.1720698043082223, 4.167664517471998, 4.1631388070624773, 4.1584923502685776, 4.1537248736477839, 4.1488361603391306, 4.1438260579310908, 4.1386944870399871, 4.1334414506605501, 4.1280670443539282, 4.1225714673437039, 4.1169550345953745, 4.1112181899602485, 4.1053615204703462, 4.0993857718758893, 4.0932918655233062, 4.0870809166767952, 4.0807542543924935, 4.0743134430587631, 4.06776030572252, 4.0610969493238374, 4.0543257919664555, 4.0474495923532157, 4.0404714815166916, 4.0333949969750877, 4.0262241194395125, 4.0189633121943551, 4.0116175632617868, 4.0041924304497849, 3.9966940893631513, 3.9891293844345599, 3.9815058829998455, 3.9738319324038285, 3.966116720073162, 3.9583703364333536, 3.9506038404743657, 3.9428293276830559, 3.9350599999577631, 3.9273102370001309, 3.9195956685402913, 3.9119332465901513, 3.904341316737951, 3.8968396872906803, 3.8894496948430155, 3.8821942645997547, 3.8750979635054903, 3.8681870439469281, 3.8614894754877427, 3.8550349617890802, 3.8488549395611376, 3.8429825561035962, 3.837452621733155, 3.8323015331907127, 3.8275671639859676, 3.8232887176038846, 3.8195065395918553, 3.8162618848003258, 3.8135966364976253, 3.8115529747477153, 3.810172992362765, 3.8094982579352865, 3.8095693269333539, 3.810425203604034, 3.8121027584535936, 3.8146361083194229, 3.8180559684494035, 3.82238898847163, 3.8276570865488324, 3.8338767982296522, 3.841058658375077, 3.8492066358806101, 3.8583176415752716, 3.8683811295046553, 3.8793788106872626, 3.8912844963005666, 3.9040640841095744, 3.9176756978553868, 3.9320699844301727, 3.9471905681823616, 3.9629746559128129, 3.9793537803509875, 3.9962546644860208, 4.0136001843968021, 4.0313104044756845, 4.0493036563909515, 4.0674976319358862, 4.085810460108747, 4.104161740306103, 4.1224735062565045, 4.1406710990473306, 4.1938970725432263, 4.2438616455605702, 4.2894011252602589, 4.3298246314448834, 4.3648604613482487, 4.3945675833391871, 4.4192377537612968, 4.4393056741752908, 4.4552760533930877, 4.4676698928145857, 4.4769883850926337, 4.4836910675350801, 4.4881845437005321, 4.4908185004582082, 4.4918864378172625, 4.4916292321951143, 4.4902402510584052, 4.48787119315244, 4.4846381509995537, 4.4806276046358313, 4.4759021845704261, 4.4705061120870084, 4.4644702563580605, 4.4578167561465403, 4.450563151065472, 4.4427259622003978, 4.4343236604273413, 4.4253789667009231, 4.4159204436050983, 4.4059833613990911, 4.3956098529523668, 4.3848484074165519, 4.3737527884649268, 4.3623804953250804, 4.350790909680498, 4.3390432856027816, 4.3271947409720539, 4.3152983968950043, 4.3034017876458153, 4.2915456303746566, 4.2797630050950231, 4.2680789556267786, 4.2565104854406499, 4.2450668921637842, 4.2337503631611666, 4.2225567430567343, 4.2114763820132506, 4.2004949797674715, 4.1895943529203938, 4.1787530696748814, 4.1679469150521982, 4.1571491688796964, 4.146330697230308, 4.1354598746771343, 4.1245023692617622, 4.1134208343358738, 4.1021745614829683, 4.0907191567106667, 4.0790063081569858, 4.0669837177095944, 4.0545952710584023, 4.041781520409228, 4.0284805507267745, 4.0146292929768421, 4.0001653351432047, 3.9850292623461798, 3.9691675297192743, 3.9525358346842649, 3.935102908612679, 3.9168545927649596, 3.8977980032202089, 3.877965530357486, 3.8574183693670969, 3.8362492507654893, 3.8145840465718712, 3.7925819801561547, 3.7704342734001939, 3.7483612250691833, 3.7266079232782001, 3.7054390409626432, 3.68513343291339, 3.665979536625203, 3.6482728752418154, 3.6323172732363451, 3.6184317187875532, 3.6069650904887669, 3.5983210477097693, 3.5929948837182044, 3.5916223199965245, 3.5950358603935069, 3.6043158213524147, 3.6208093216185517, 3.6460729241299612, 3.6816820548649591, 3.7288631228776756, 3.7879695530944488, 3.8579466892061274, 3.9360518796611124, 4.0180852041616753, 4.0991607544320265, 4.1747278260016945, 4.2414030771925377, 4.29732598589466, 4.3420436939964251, 4.3761275673982221, 4.4007404126533434, 4.4172859421823887, 4.4271792409863799, 4.4317228804836368, 4.4320559085267668, 4.4291454119052203, 4.423799172519959, 4.4166864233959506, 4.4083598071839116, 4.3992753966708777, 4.3898097057927394, 4.3802736379726079, 4.3709237441822495, 4.3619712818679908, 4.3535895415257198, 4.3459198278601585, 4.3390763908911971, 4.3331505188660673, 4.3282139367089574, 4.3243216021252167, 4.3215139547025103, 4.3198186487224124, 4.3192517850446022, 4.3196298224477525, 4.3207619633962144, 4.3226422255718546, 4.3252604101965986, 4.3286017603272784, 4.332646483670656, 4.3373691407936246, 4.3427378993538222, 4.3487136542909539, 4.3552490126661896, 4.3622871398840743, 4.3697604612876368, 4.3775892095974127, 4.3856798045769283, 4.393923047197454, 4.4021921075417865, 4.4103402856629677, 4.4181985307985734, 4.425572721689198, 4.4322407466428198, 4.4379494868428333, 4.4424119140679501, 4.4453046813582864, 4.4462668298395132, 4.4449005693883032, 4.4407755103841833, 4.4334381856664971, 4.4224290944713536, 4.4073096082499816, 4.3877005629664492, 4.3633327979581846, 4.3341069287613028, 4.3001552838512849, 4.26189402157034, 4.2200498789361491, 4.1756464357487442, 4.1299413087721319, 4.0843180008111988, 4.0401503543165145, 3.9986674810490013, 3.9608475746392875, 3.9273596424929518, 3.8985574412298631, 3.8745163620217689, 3.8550964321185424, 3.8400139127805439, 3.8289080759438119, 3.8213955620061806, 3.8171098982699614, 3.8157272131643474, 3.8169808646326731, 3.8206680687334815, 3.8266512155925194, 3.834855828244685, 3.8452663269796372, 3.8579200484892868, 3.8728993995135572, 3.8903216325128671, 3.9103255493646865, 3.9330545123196279, 3.9586355172531213, 3.9871547880053892, 4.0186313441737003, 4.0529911324060999, 4.0900453176422005, 4.1294768323289333, 4.1708389137428616, 4.2135679332484886, 4.2570104813159935, 4.3004619437757947, 4.3432114584439043, 4.3845869014460304, 4.4239937901141637, 4.4609435664388428, 4.4950690790021541, 4.526127487738723, 4.5539926773310526, 4.5786402843471201, 4.6001286345863575, 4.6185784711613804, 4.63415361988688, 4.6470439388375206, 4.6574511989812217, 4.6655780187818943, 4.6716196373258372, 4.6757581299436426, 4.6781586055472228, 4.6789669349166205, 4.67830861082677, 4.676288410816289, 4.6729906069326885, 4.6684795359974833, 4.662800405441974, 4.6559802629828795, 4.6480291042182831, 4.6389411320650993, 4.6286962171665698, 4.6172616397426802, 4.6045942206179049, 4.5906429707521896, 4.5753524011860103, 4.5586666335169674, 4.5405344274317567, 4.5209151874350706, 4.4997859166128862, 4.4771489444264478, 4.4530400682195888, 4.4275365263382334, 4.4007639935824887, 4.3729016057858097, 4.3441839443383694, 4.3148990115534529, 4.2853815531325266, 4.2560016376745047, 4.2271491203775016, 4.199215363827677, 4.1725741846902, 4.1475642725118034, 4.1244751876756087, 4.1035385038550549, 4.0849248423597277, 4.0687466467251641, 4.0550657628459836, 4.0439043613496883, 4.035257514443634, 4.0291057862741475, 4.0254264302465703, 4.0242021133693671], [4.1650998244945967, 4.1656093876008704, 4.1671331353307046, 4.1696560696798324, 4.1731526106747641, 4.1775856996396739, 4.1829054952620019, 4.1890476019050951, 4.1959307337277636, 4.2034536656592429, 4.2114912459605023, 4.2198891348997885, 4.2284567756969045, 4.2369578772846097, 4.245097366322419, 4.2525033140370327, 4.2587017267835838, 4.2630812945620127, 4.264844292774109, 4.2629391546562818, 4.2559707360279306, 4.242088390229739, 4.2188650005592665, 4.1832122356164856, 4.1314428769467426, 4.0596948414246539, 3.9650179834893344, 3.8472852981441328, 3.7113842387483671, 3.5679684603492308, 3.4308774014672925, 3.3118501033348444, 3.2163084127305153, 3.143178876989924, 3.0877777669785038, 3.0449061865087685, 3.0105595102890312, 2.9823116668764968, 2.9590156538220604, 2.9403267250482927, 2.9262906537482789, 2.9170665466356547, 2.9127751247342388, 2.9134380133135211, 2.9189719710158752, 2.9292092946178672, 2.9439250704696924, 2.9628604724470318, 2.9857377522880375, 3.0122667578567275, 3.0421450777169388, 3.0750547490204068, 3.1106583672314221, 3.1485967974490086, 3.1884898074487684, 3.2299400412776431, 3.2725399837858782, 3.3158810268004393, 3.3595634755219299, 3.4032063150870062, 3.4464557369277258, 3.4889917247470619, 3.5305323403870319, 3.5708356644764505, 3.6096995927808551, 3.6469598486360186, 3.6824866470482962, 3.71618045231385, 3.7479672293143924, 3.7777935199174562, 3.8056215975745293, 3.8314248778225735, 3.8551836977346912, 3.8768815273326926, 3.8965016417683627, 3.914024264349762, 3.9294241862238604, 3.9426688776921828, 3.9537171280591412, 3.9625182853489864, 3.9690122142505375, 3.9731301501753031, 3.9747966982140692, 3.9739333044515384, 3.9704636052025877, 3.9643211210765297, 3.9554597793743862, 3.9438676765280518, 3.9295842709434048, 3.9127207512539903, 3.8934825844380532, 3.8721921807331161, 3.8493082852181097, 3.8254373600269589, 3.8013313244264531, 3.7778662356954125, 3.7559984858068107, 3.7366991427572271, 3.7208726479024175, 3.7092716398787942, 3.7024230133211788, 3.7005795837194406, 3.7037065451392293, 3.7115038598215939, 3.7234576911177362, 3.7389087144231721, 3.7571239089539588, 3.7773607681525641, 3.7989171467213882, 3.8211644148902506, 3.8435650119617848, 3.8656774492715513, 3.8871524600623504, 3.9077237536589937, 3.9271961450470303, 3.9454330291284303, 3.962344444250165, 3.977876403215145, 3.9920017726188584, 4.0047127288498992, 4.0160146759452555, 4.0259214425369176, 4.034451554762331, 4.0416253891796616, 4.0474630309992552, 4.0519826899575131, 4.0551995541420558, 4.0571249886136558, 4.0577660098306643, 4.0576647461860738, 4.0573608593470363, 4.056854061667611, 4.0561438739753344, 4.0552296259399769, 4.0541104566168373, 4.0527853151909845, 4.0512529619586868, 4.0495119695907462, 4.0475607247330956, 4.0453974300107935, 4.0430201065146338, 4.0404265968621971, 4.0376145689430416, 4.03458152047223, 4.0313247844998559, 4.0278415360441873, 4.0241288000433295, 4.0201834608494638, 4.0160022735227434, 4.0115818772211682, 4.006918811024593, 4.0020095325825515, 3.9968504400304412, 3.9914378976832903, 3.9857682660893969, 3.9798379371080785, 3.9736433747696025, 3.9671811627801232, 3.9604480596535199, 3.9534410625839982, 3.9461574813217415, 3.9385950234775664, 3.9307518928633471, 3.9226269026725737, 3.9142196055173359, 3.9055304425665405, 3.8965609142662507, 3.8873137753666738, 3.8777932572176623, 3.8680053205194938, 3.8579579419043006, 3.8476614378571443, 3.8371288295299437, 3.8263762519136488, 3.8154234105591978, 3.804294088504816, 3.7930167051846846, 3.7816249277534144, 3.7701583333228523, 3.758663117918561, 3.7471928443354483, 3.7358092163096925, 3.7245828603200346, 3.7135940886966496, 3.7029336084072306, 3.6927031288625214, 3.6830158094549712, 3.6739964736888711, 3.6657815024115665, 3.6585183050368659, 3.6523642565876759, 3.6474849823944382, 3.6440518745836625, 3.6422387388675466, 3.6422175006156916, 3.6441529493775171, 3.648196573241735, 3.6544796284444461, 3.6631057014254185, 3.6741431410634351, 3.6876178536503321, 3.7035070430858998, 3.7217345221208804, 3.7421681970360345, 3.7646202243241129, 3.7888501519437545, 3.814571103150628, 3.8414587671978735, 3.8691626697110157, 3.8973189518964606, 3.9255637318947842, 3.9535460786018328, 3.9809397025599536, 4.0074526433162649, 4.0328344748175899, 4.0568808187834566, 4.0794352105912086, 4.10038857176633, 4.1196766893821666, 4.1372761806734006, 4.153199437161982, 4.1674890099052853, 4.1802118323749964, 4.1914535957391292, 4.2013135060373941, 4.2098995732892153, 4.2173245146065232, 4.2237022993726203, 4.2291453246343496, 4.2337621816857745, 4.2376559582729287, 4.2409230125699136, 4.2436521528246507, 4.2459241584180525, 4.2478115824701383, 4.249378781896846, 4.2506821271415234, 4.2517703501281039, 4.2526849949744383, 4.253460941482837, 4.2541269763166216, 4.2547063910698171, 4.2552175901686127, 4.2556746947615443, 4.2560881315117758, 4.2564651975552064, 4.2568105948794237, 4.2571269290541256, 4.2574151686369746, 4.2576750627228774, 4.2579055150221459, 4.2581049135708913, 4.2582714157121977, 4.2584031883645777, 4.2584986038308061, 4.2585563915193303, 4.2585757459699023, 4.258556391519333, 4.2584986038308177, 4.2584031883645643, 4.2582714157122066, 4.2581049135708966, 4.2579055150221592, 4.2576750627228783, 4.2574151686369754, 4.2571269290541176, 4.2568105948794255, 4.2564651975552028, 4.25608813151179, 4.255674694761554, 4.2552175901686171, 4.2547063910698073, 4.254126976316619, 4.2534609414828424, 4.2526849949744445, 4.2517703501280817, 4.2506821271415189, 4.2493787818968638, 4.2478115824701348, 4.2459241584180489, 4.2436521528246418, 4.2409230125699011, 4.2376559582729323, 4.2337621816857824, 4.2291453246343318, 4.2237022993726159, 4.2173245146065028, 4.2098995732891993, 4.2013135060373967, 4.191453595739139, 4.1802118323749795, 4.1674890099053004, 4.1531994371620193, 4.1372761806734033, 4.1196766893821612, 4.1003885717663433, 4.0794352105912219, 4.0568808187834406, 4.0328344748175953, 4.0074526433162534, 3.9809397025599065, 3.953546078601879, 3.925563731894778, 3.8973189518965006, 3.869162669711006, 3.8414587671978779, 3.8145711031506582, 3.7888501519437376, 3.7646202243240996, 3.7421681970360279, 3.7217345221209217, 3.7035070430859052, 3.687617853650325, 3.674143141063384, 3.6631057014253909, 3.6544796284444501, 3.6481965732417478, 3.644152949377526, 3.6422175006156801, 3.6422387388675532, 3.6440518745836443, 3.6474849823944462, 3.6523642565876617, 3.6585183050368668, 3.6657815024115799, 3.6739964736888759, 3.6830158094549543, 3.6927031288625245, 3.7029336084072395, 3.7135940886966452, 3.7245828603200137, 3.7358092163096694, 3.747192844335459, 3.7586631179185708, 3.7701583333228608, 3.7816249277534295, 3.7930167051846873, 3.8042940885047978, 3.8154234105592195, 3.8263762519136799, 3.8371288295299539, 3.8476614378571434, 3.85795794190429, 3.8680053205195, 3.8777932572176721, 3.8873137753666969, 3.8965609142662596, 3.9055304425665285, 3.9142196055173364, 3.9226269026725893, 3.93075189286336, 3.9385950234775513, 3.946157481321745, 3.9534410625840199, 3.9604480596535216, 3.9671811627801477, 3.9736433747696154, 3.9798379371080745, 3.9857682660893947, 3.9914378976833031, 3.9968504400304461, 4.0020095325825658, 4.0069188110245983, 4.0115818772211487, 4.0160022735227461, 4.0201834608494407, 4.0241288000433206, 4.0278415360441775, 4.0313247844998665, 4.0345815204722122, 4.0376145689430141, 4.0404265968622086, 4.0430201065146161, 4.0453974300107953, 4.0475607247330938, 4.0495119695907391, 4.0512529619586939, 4.0527853151909916, 4.0541104566168231, 4.0552296259399929, 4.0561438739753291, 4.0568540616676012, 4.0573608593470185, 4.0576647461860782, 4.0577660098307051, 4.0577153809555258, 4.05756348174019, 4.0573102744284109, 4.0569556961379627, 4.0564996589281934, 4.0559420498955525, 4.0552827312983508, 4.0545215407113604, 4.0536582912121419, 4.0526927716010714, 4.0516247466568434, 4.0504539574301699, 4.0491801215783711, 4.0478029337443884, 4.046322065983337, 4.0447371682411042, 4.0430478688892952, 4.0412537753215574, 4.0393544746168217, 4.0373495342761201, 4.0352385030385776, 4.0330209117854041, 4.0306962745394497, 4.0282640895691175, 4.025723840607208, 4.0230749981950904, 4.020317021164483, 4.0174493582694124, 4.0144714499834029, 4.0113827304771377, 4.0081826297935867, 4.0048705762398562, 4.0014459990159272, 3.9979083311029839, 3.9942570124352765, 3.9904914933831255, 3.9866112385753731, 3.9826157310938215, 3.9785044770737903, 3.9742770107488998, 3.9699328999815009, 3.9654717523226202, 3.9608932216513493, 3.9561970154453792, 3.9513829027410212, 3.946450722844014, 3.941400394859115, 3.9362319281108995, 3.9309454335344318, 3.9255411361202799, 3.9200193885049361, 3.9143806858044585, 3.9086256817955611, 3.9027552065559243, 3.8967702856823112, 3.8906721612124886, 3.8844623143832799, 3.8781424903652311, 3.871714725118494, 3.8651813745220038, 3.8585451459312008, 3.8518091323228538, 3.844976849187133, 3.8380522743247369, 3.8310398907041092, 3.8239447325238913, 3.8167724346148701, 3.809529285295413, 3.8022222827709449, 3.7948591951327755, 3.7874486239698921, 3.7800000715517612, 3.7725240114727607, 3.7650319625652542, 3.7575365657878859, 3.7500516636744643, 3.7425923817856437, 3.7351752114383951, 3.727818092792472, 3.7205404971504246, 3.7133635070726232, 3.7063098926244966, 3.6994041817570347, 3.6926727224760221, 3.6861437340871235, 3.6798473444123818, 3.6738156094763634, 3.6680825117608529, 3.6626839327503116, 3.6576575951504506, 3.6530429698914371, 3.6488811428517423, 3.6452146361989692, 3.6420871793781573, 3.6395434251307104, 3.6376286065456171, 3.6363881320675313, 3.6358671166591829, 3.6361098489599288, 3.6371591963158396, 3.6390559519700876, 3.6418381314591652, 3.6455402282943234, 3.6501924422105727, 3.6558198964976754, 3.6624418640028193, 3.6700710241045424, 3.6787127750688988, 3.6883646274692516, 3.699015704564494, 3.7106463744962657, 3.7232280367675452, 3.7367230816607369, 3.7510850361168893, 3.7662589032975178, 3.7821816958861452, 3.7987831555288865, 3.8159866431282699, 3.8337101774682365, 3.8518675933434046, 3.8703697854088754, 3.8891260006911663, 3.9080451412968471, 3.9270370393892882, 3.9460136688791669, 3.9648902622675832, 3.9835863063679335, 4.0020263968046379, 4.0551470994856897, 4.1038556011426159, 4.1471857333144886, 4.1846892612331894, 4.2163412580805018, 4.2424227373648202, 4.2634073537566346, 4.2798671507822679, 4.2924024415102906, 4.3015946336010984, 4.307977838921607, 4.3120243783574059, 4.314139761008124, 4.3146636468496196, 4.3138742749324592, 4.3119946668444653, 4.3091995436267165, 4.3056223350077136, 4.3013619482674468, 4.2964891392962761, 4.2910524245341879, 4.2850835163147094, 4.2786022758138511, 4.2716211719822264, 4.2641492220278092, 4.2561953765673319, 4.2477713053702786, 4.2388935405713219, 4.2295849445174616, 4.2198754887622689, 4.2098023575666943, 4.1994094210060497, 4.188746156025843, 4.1778661247225246, 4.1668251439265038, 4.1556792955228037, 4.1444829305192759, 4.1332868107278173, 4.1221365107223811, 4.1110711717207726, 4.1001226617002562, 4.0893151566100672, 4.0786651202616788, 4.0681816290403363, 4.0578669646159842, 4.0477173846299062, 4.0377239778860572, 4.0278735157744681, 4.0181492236646719, 4.0085314126584919, 3.9989979312397179, 3.9895244161453958, 3.9800843407835425, 3.970648876791377, 3.9611865993524829, 3.9516630795117536, 3.9420404170173442, 3.9322767753830901, 3.9223259871306273, 3.9121373017009202, 3.901655351344524, 3.8908204112083671, 3.8795690283608351, 3.8678350898112135, 3.8555513904942202, 3.8426517471732868, 3.8290736815115896, 3.8147616634726851, 3.7996708635539056, 3.7837713091086074, 3.76705227814108, 3.749526698235544, 3.7312352568912326, 3.712249884113723, 3.6926762528865216, 3.6726549730097586, 3.6523612414761617, 3.6320028655659296, 3.6118167933230043, 3.5920645627613235, 3.5730274041607073, 3.5550020874090613, 3.538298990777891, 3.5232442722875033, 3.5101884271246577, 3.4995238316351789, 3.4917138798592564, 3.4873355061658198, 3.4871342889364954, 3.4920853716771245, 3.5034421387716472, 3.5227368376810473, 3.5516764865444239, 3.5918675352975171, 3.6443332137114459, 3.7088904703744618, 3.7836168175011813, 3.8647485513034021, 3.9472392745951406, 4.0258457096094649, 4.0962607068756265, 4.1558033398004053, 4.2034963759961297, 4.2397003590259139, 4.2655941484967101, 4.282716468532489, 4.2926534085520576, 4.2968668062819599, 4.2966232568751002, 4.2929822899825796, 4.2868134812026764, 4.2788242065369904, 4.2695884943032487, 4.2595727819523459, 4.2491572728370093, 4.2386529633978167, 4.2283149556354811, 4.2183527989489322, 4.2089385499011662, 4.2002131166633072, 4.1922913230387779, 4.1852660089816167, 4.1792113883143625, 4.174185810482423, 4.1702340191498406, 4.1673889627286824, 4.1656731869890651, 4.1650998244945967, 4.1654821695438944, 4.1666275809094842, 4.1685311313274616, 4.1711844224954504, 4.1745753064028772, 4.178687496268596, 4.1835000677362153, 4.1889868505243975, 4.195115709735, 4.2018477143211506, 4.2091361876329669, 4.2169256313266148, 4.2251505091386496, 4.2337338711067805, 4.2425857919994172, 4.2516015906271125, 4.260659790586522, 4.2696197800519187, 4.2783191321315206, 4.2865705638270262, 4.2941585494754788, 4.3008356762261082, 4.3063189515876399, 4.3102864674975221, 4.3123751144080176, 4.3121804395441847, 4.3092602517324767, 4.3031441388509908, 4.2933515425675814, 4.2794211547556147, 4.2609537312030241, 4.2376684341712902, 4.2094691120625631, 4.1765116494387104, 4.139257900180163, 4.098498286507148, 4.0553270844727809, 4.0110636871957812, 3.9671282497651785, 3.9248954489101542, 3.8855583230876176, 3.8500308662982667, 3.818904847361051, 3.7924597900944672, 3.770712319311599, 3.7534858716034329, 3.7404834916360321, 3.731351981356013, 3.725731814674015, 3.7232919899190753, 3.7237517637515145, 3.7268922662475124, 3.732560924971505, 3.7406709777089331, 3.7511975157773101, 3.7641706980530589, 3.7796661290195686, 3.7977919710143548, 3.8186722179464549, 3.8424257523293841, 3.8691413840181368, 3.8988500210211194, 3.9314963397076861, 3.966913545473576, 4.0048056435972432, 4.0447416176509599, 4.0861647102061003, 4.1284176284167708, 4.1707814304858699, 4.2125229436882421, 4.252943746103802, 4.2914236060259192, 4.3274528082460071, 4.3606504215989954, 4.3907684089542736, 4.4176837722538878, 4.4413822341576461, 4.4619372561686417, 4.4794877330387832, 4.4942168404597949, 4.506333564164609, 4.5160576117607576, 4.5236077980937308, 4.5291936103960913, 4.5330094637806981, 4.5352310973430878, 4.5360135852658914, 4.535490505784689, 4.5337738962155951, 4.5309547079187578, 4.527103552629085, 4.5222715979146644, 4.516491524672265, 4.5097785052131583, 4.5021311989332204, 4.4935327961201796, 4.4839521710575942, 4.4733452344907461, 4.4616566029796916, 4.4488217276033657, 4.4347696440618414, 4.4194265154265322, 4.4027201301053775, 4.3845854811110856, 4.3649714770420083, 4.3438487095926881, 4.321218020841183, 4.2971193803330907, 4.271640318515205, 4.2449229133027595, 4.2171681573446067, 4.1886365256212983, 4.1596437897479772, 4.1305516216087819, 4.1017532595991746, 4.0736553552141572, 4.0466578858722739, 4.0211345036157686, 3.9974157348917525, 3.9757770164686552, 3.9564327456149004, 3.9395365403882359, 3.9251869795574188, 3.9134374056529375, 3.9043080183892016, 3.8977984489577246, 3.8938992086756525, 3.8926007435355228], [4.0121177316565797, 4.0126268737606852, 4.0141504118106353, 4.0166765498034724, 4.0201851857078807, 4.0246472310210493, 4.0300236190398069, 4.0362639522400325, 4.0433047087362715, 4.0510668827053165, 4.0594528673093455, 4.0683422914955329, 4.0775863799781682, 4.0870001978187585, 4.0963518366063711, 4.1053471546146447, 4.1136080405416307, 4.1206412646292891, 4.1257937740920658, 4.1281888768760808, 4.126636653245435, 4.1195127705052021, 4.1046069254008852, 4.0789650799859372, 4.0388065958042736, 3.979710421466025, 3.897421751689202, 3.7896717218235807, 3.6588905410629144, 3.5142722190376614, 3.370448779617023, 3.2419243042470818, 3.1370433102258941, 3.0562990958175758, 2.9951349886447352, 2.9477727968080472, 2.9095648417874198, 2.877653147595431, 2.8506965088351714, 2.828326373437192, 2.8106566564971556, 2.7979460589837934, 2.7904088327475312, 2.7881360172209622, 2.7910851877419729, 2.7991041521999915, 2.811964653476172, 2.8293922285838331, 2.8510862897801963, 2.8767297986645066, 2.9059908672541468, 2.9385197965754282, 2.9739450369316396, 3.0118708164632628, 3.0518781143081104, 3.0935295342954596, 3.1363776692679606, 3.1799758662666395, 3.2238899653794721, 3.2677095743561142, 3.311057684207936, 3.3535978234302841, 3.3950383830416753, 3.4351341349353572, 3.4736852589712957, 3.5105343708480179, 3.5455621110155011, 3.5786818386384431, 3.6098339034378002, 3.6389798697970352, 3.6660969635096099, 3.6911729164810283, 3.7142013066197377, 3.7351774321902758, 3.7540947220506831, 3.7709416638648818, 3.7856992295369585, 3.7983387890436848, 3.8088205295875137, 3.8170924364430521, 3.8230899456614256, 3.8267364478437669, 3.8279449067831983, 3.8266209550305081, 3.8226679337417599, 3.8159944413675366, 3.8065250159253941, 3.7942145500835625, 3.7790668538736067, 3.7611573399390124, 3.7406590061003304, 3.7178696573728729, 3.6932366796318159, 3.6673738968739404, 3.6410636664025802, 3.6152372455619362, 3.5909285338792274, 3.5692010699724652, 3.5510551021295242, 3.537328705429875, 3.5286113709057831, 3.5251877192618895, 3.5270224649556718, 3.5337876173855811, 3.5449230040304776, 3.5597150459727565, 3.5773777730567984, 3.5971234485380106, 3.6182156433366188, 3.6400029257335893, 3.6619351535730349, 3.6835663220330876, 3.7045483590643422, 3.7246197539549217, 3.743591988380961, 3.7613357794595634, 3.7777683311778434, 3.7928421873440827, 3.8065358767659676, 3.8188462998318333, 3.8297826792810827, 3.8393618468308759, 3.8476046312871843, 3.8545331319961087, 3.8601686907225581, 3.8645304074578619, 3.8676340770889555, 3.8694914524430262, 3.8701097644622005, 3.8700129722933578, 3.8697225007156009, 3.8692380645580982, 3.8685591886834061, 3.8676852082205184, 3.8666152689171609, 3.8653483276368186, 3.8638831530355149, 3.8622183264616692, 3.860352243132795, 3.8582831136534876, 3.8560089659521273, 3.8535276477264082, 3.8508368295057656, 3.8479340084535139, 3.8448165130554632, 3.8414815088622509, 3.8379260054808522, 3.8341468650410473, 3.8301408123972052, 3.8259044473669812, 3.821434259353035, 3.8167266447486199, 3.8117779275869763, 3.8065843839642479, 3.8011422708452773, 3.7954478599513206, 3.7894974775324983, 3.7832875509442729, 3.7768146630808768, 3.770075615867972, 3.7630675041862638, 3.7557878017866848, 3.7482344609683729, 3.7404060280237634, 3.73230177670853, 3.7239218622709576, 3.7152674988672598, 3.7063411634963019, 3.6971468298959516, 3.6876902361464938, 3.6779791899993213, 3.6680239161700494, 3.6578374499651121, 3.6474360816003508, 3.6368398553535437, 3.6260731271841169, 3.6151651835400749, 3.6041509226179631, 3.593071597169462, 3.5819756148570088, 3.5709193879037384, 3.5599682180947099, 3.5491971957803115, 3.5386920821381009, 3.5285501323485264, 3.5188808034389081, 3.5098062744704892, 3.5014616889544508, 3.4939950108552318, 3.4875663679334532, 3.482346742016305, 3.4785158585779334, 3.4762591322803016, 3.4757635461803398, 3.4772123857094348, 3.4807788191042159, 3.4866184163605483, 3.4948608275940596, 3.5056009915611748, 3.5188904011970474, 3.5347290928348274, 3.5530591208212585, 3.5737602994979558, 3.5966489150889545, 3.6214799191334919, 3.6479528209436558, 3.6757211305069726, 3.7044048169897068, 3.733604904229201, 3.7629190831334944, 3.7919571240423964, 3.8203549341259189, 3.8477863090592681, 3.8739717321343283, 3.8986839212684075, 3.9217501585074608, 3.9430517126322293, 3.9625208567638919, 3.9801360823100222, 3.995916127067066, 4.0099133877606263, 4.0222071985911736, 4.0328973491809217, 4.0420981051829594, 4.0499328947696611, 4.0565297410098102, 4.0620174562103317, 4.0665225690318385, 4.070166926185613, 4.0730658945740235, 4.0753270835290598, 4.0770495073382929, 4.0783231130435489, 4.0792286056549498, 4.0798375110725633, 4.0802124252431797, 4.0804074058434434, 4.0804684697818461, 4.0804341659397769, 4.080336197826961, 4.0802000752784382, 4.0800457780689108, 4.0798884174689052, 4.0797388844204194, 4.0796044752509184, 4.0794894877463923, 4.0793957820199234, 4.0793233019841493, 4.0792705543917354, 4.0792350433715372, 4.0792136591729946, 4.0792030204541145, 4.0791997699172473, 4.0792008234290558, 4.0792035729661222, 4.0792060438239766, 4.0792070065292041, 4.0792060438239801, 4.0792035729661382, 4.0792008234290389, 4.0791997699172589, 4.0792030204541225, 4.0792136591730053, 4.0792350433715363, 4.0792705543917362, 4.0793233019841413, 4.0793957820199243, 4.0794894877463888, 4.0796044752509353, 4.0797388844204301, 4.0798884174689105, 4.0800457780689001, 4.0802000752784338, 4.0803361978269699, 4.080434165939784, 4.0804684697818239, 4.0804074058434381, 4.0802124252431957, 4.079837511072558, 4.0792286056549463, 4.07832311304354, 4.077049507338284, 4.0753270835290651, 4.0730658945740297, 4.0701669261855988, 4.0665225690318358, 4.0620174562103122, 4.0565297410097969, 4.049932894769662, 4.0420981051829665, 4.0328973491809057, 4.0222071985911878, 4.0099133877606592, 3.9959161270670673, 3.9801360823100165, 3.9625208567639056, 3.9430517126322409, 3.9217501585074457, 3.8986839212684115, 3.873971732134315, 3.8477863090592241, 3.8203549341259637, 3.7919571240423906, 3.7629190831335384, 3.7336049042291926, 3.7044048169897099, 3.6757211305070063, 3.647952820943642, 3.6214799191334768, 3.5966489150889451, 3.5737602994980007, 3.5530591208212647, 3.5347290928348198, 3.5188904011969928, 3.5056009915611437, 3.4948608275940614, 3.4866184163605602, 3.4807788191042235, 3.4772123857094241, 3.4757635461803496, 3.4762591322802843, 3.4785158585779414, 3.4823467420162926, 3.4875663679334528, 3.4939950108552447, 3.501461688954453, 3.5098062744704728, 3.5188808034389103, 3.5285501323485349, 3.5386920821380978, 3.5491971957802892, 3.5599682180946877, 3.5709193879037491, 3.5819756148570181, 3.5930715971694713, 3.6041509226179769, 3.615165183540078, 3.6260731271840982, 3.6368398553535655, 3.6474360816003766, 3.6578374499651218, 3.6680239161700467, 3.6779791899993102, 3.6876902361464987, 3.6971468298959591, 3.7063411634963219, 3.7152674988672691, 3.7239218622709451, 3.7323017767085291, 3.7404060280237781, 3.7482344609683849, 3.7557878017866679, 3.7630675041862669, 3.7700756158679916, 3.7768146630808794, 3.783287550944296, 3.7894974775325094, 3.7954478599513175, 3.8011422708452747, 3.8065843839642621, 3.811777927586979, 3.816726644748635, 3.8214342593530386, 3.8259044473669626, 3.8301408123972078, 3.8341468650410238, 3.8379260054808415, 3.8414815088622403, 3.8448165130554717, 3.8479340084534956, 3.8508368295057389, 3.8535276477264229, 3.85600896595211, 3.858283113653489, 3.8603522431327915, 3.8622183264616621, 3.8638831530355193, 3.8653483276368248, 3.8666152689171476, 3.8676852082205331, 3.8685591886834008, 3.8692380645580888, 3.8697225007155867, 3.8700129722933623, 3.8701097644622395, 3.8700613712628837, 3.8699161787489551, 3.8696741481838708, 3.8693352150445892, 3.8688992890786436, 3.8683662543849726, 3.867735969519781, 3.8670082676280271, 3.8661829566024006, 3.8652598192717686, 3.86423861362085, 3.863119073043821, 3.8619009066345789, 3.8605837995171366, 3.8591674132193332, 3.8576513860943358, 3.8560353337942761, 3.8543188498010941, 3.8525015060201766, 3.8505828534434903, 3.8485624228879756, 3.8464397258180676, 3.8442142552601108, 3.8418854868176391, 3.8394528797983352, 3.8369158784633504, 3.8342739134116166, 3.831526403112151, 3.8286727555998916, 3.8257123703508991, 3.8226446403546532, 3.8194689544034737, 3.8161846996202433, 3.8127912642482498, 3.8092880407283984, 3.8056744290929312, 3.8019498407057353, 3.7981137023837621, 3.7941654609361422, 3.7901045881616522, 3.7859305863491453, 3.7816429943283292, 3.7772413941247951, 3.7727254182756615, 3.7680947578693456, 3.7633491713767597, 3.7584884943485815, 3.7535126500586964, 3.7484216611810295, 3.7432156625939195, 3.7378949154140062, 3.7324598223696093, 3.7269109446315087, 3.7212490202281692, 3.7154749841808679, 3.709589990503678, 3.7035954362213541, 3.6974929875685634, 3.6912846085402853, 3.6849725919728269, 3.6785595933406761, 3.6720486674598662, 3.6654433082925486, 3.658747492047346, 3.65196572376896, 3.6451030876024757, 3.6381653009074966, 3.6311587723774092, 3.6240906642945427, 3.61696895901447, 3.6098025297270029, 3.6026012154793392, 3.5953759003704695, 3.5881385967296233, 3.5809025319745365, 3.5736822387024123, 3.5664936473959741, 3.5593541809255291, 3.5522828497904788, 3.5453003467705373, 3.5384291393419836, 3.5316935578599438, 3.5251198771110506, 3.5187363884042138, 3.5125734588982072, 3.5066635743643069, 3.5010413610704729, 3.4957435819584046, 3.4908091017966436, 3.4862788155534172, 3.4821955338847204, 3.4786038194139608, 3.4755497674449898, 3.4730807249544711, 3.4712449422144278, 3.4700911522673157, 3.4696680747685336, 3.4700238424840473, 3.4712053510125043, 3.4732575351079511, 3.4762225782879095, 3.4801390661571956, 3.485041097948403, 3.4909573750030449, 3.4979102890715845, 3.5059150371142782, 3.5149787924256812, 3.5250999640488017, 3.5362675772583865, 3.5484608070986496, 3.5616486943459473, 3.5757900687441513, 3.5908336979758948, 3.6067186728067582, 3.6233750295398162, 3.6407246008788343, 3.6586820761400527, 3.6771562421754425, 3.6960513680439204, 3.7152686899987568, 3.734707949206165, 3.7542689330529102, 3.773852971990018, 3.7933643474510528, 3.8127115721227902, 3.8318085112365039, 3.850575322006291, 3.8689391972381575, 3.9210006878934305, 3.9675666171761828, 4.0079328395289666, 4.0419311906719742, 4.0697946876744071, 4.0920172084396151, 4.1092323573817051, 4.1221216705575099, 4.1313523780246619, 4.137539893299091, 4.1412286750540819, 4.14288553397774, 4.1429006730511029, 4.1415930794022362, 4.1392180255142934, 4.1359752986935732, 4.1320173758077301, 4.1274571479196416, 4.1223750333703588, 4.1168254463044871, 4.1108426472751507, 4.1044460197662946, 4.0976448096008937, 4.0904423458879693, 4.082839741007513, 4.0748390489116346, 4.0664458494317879, 4.0576712234152676, 4.0485330901320182, 4.0390568941084073, 4.0292756519509423, 4.019229398517405, 4.0089641029358072, 3.9985301549357537, 3.9879805470485552, 3.9773688950586759, 3.966747445016146, 3.9561652087583847, 3.9456663513816297, 3.9352889252137402, 3.9250640087337842, 3.9150152696421983, 3.9051589332675496, 3.8955041046369487, 3.8860533678119342, 3.8768035711470521, 3.8677467022434575, 3.8588707606140824, 3.8501605476727092, 3.8415983103858422, 3.8331641945192922, 3.8248364838584363, 3.8165916215030085, 3.8084040272609152, 3.8002457406869006, 3.792085932226279, 3.7838903353045388, 3.7756206602981099, 3.7672340574431424, 3.758682700178543, 3.7499135633675484, 3.740868472299081, 3.7314844980845869, 3.7216947724334126, 3.7114297887998151, 3.7006192460971943, 3.6891944737233029, 3.6770914504872305, 3.6642543932929543, 3.6506398430195626, 3.6362211154794633, 3.6209929178020746, 3.6049758618237924, 3.5882205469478166, 3.5708108502595115, 3.55286606878144, 3.5345416249494739, 3.516028185648211, 3.4975492649466964, 3.4793576804416659, 3.4617316051866966, 3.4449713899887198, 3.4293988114689884, 3.4153609110506955, 3.4032410827334871, 3.3934804147597766, 3.386612174180037, 3.3833110579941654, 3.38445512885828, 3.3911901515738898, 3.4049709276121369, 3.4275315071343946, 3.4607124132706923, 3.5060708508267764, 3.5642607995741731, 3.6343264086447737, 3.7132522176073244, 3.7961679876003291, 3.8773249674166936, 3.9514608129474946, 4.0148960857240334, 4.0659295868428211, 4.1045733026191007, 4.1319632367635215, 4.149770960185597, 4.1597788577277726, 4.1636398084044517, 4.1627756139919914, 4.1583583435275866, 4.1513320766310313, 4.1424491534724108, 4.1323075911259375, 4.1213839863848989, 4.1100602764036687, 4.098644593177645, 4.0873871423862447, 4.0764921693946619, 4.0661269713995836, 4.0564287352120783, 4.0475097967748317, 4.0394617589131698, 4.0323587753903265, 4.0262602108608636, 4.021212813549341, 4.0172524855627314, 4.014405700124791, 4.0126905917963027, 4.0121177316565797, 4.0124997202660957, 4.0136443613390904, 4.0155476357418323, 4.0182026955743311, 4.0215996408399937, 4.0257252079647463, 4.0305623708860976, 4.036089854950089, 4.042281562795857, 4.0491059095980573, 4.0565250622803681, 4.0644940734063155, 4.0729598952180295, 4.0818602526103209, 4.0911223457059096, 4.1006613433915957, 4.1103786193391487, 4.1201596730159507, 4.1298716723894238, 4.1393605565228402, 4.1484476515819289, 4.1569257929700791, 4.1645550241366394, 4.1710580794525596, 4.17611608035849, 4.1793652092667291, 4.1803955966813948, 4.1787542604267589, 4.1739546083904724, 4.1654955831427039, 4.15289364573262, 4.1357299339511666, 4.1137124539761567, 4.0867486454405837, 4.0550174371904362, 4.0190237119113155, 3.9796151527204708, 3.9379453562216873, 3.8953793574363171, 3.8533552864743559, 3.8132313544981753, 3.776152880178008, 3.7429666019302297, 3.7141931221249807, 3.6900511707240811, 3.6705163682836068, 3.6553945555969465, 3.644393508090404, 3.6371832593233626, 3.6334412683340465, 3.6328827916851374, 3.63527889065299, 3.6404650158548031, 3.6483427078184154, 3.6588761547380968, 3.6720845005328808, 3.6880300994293442, 3.7068024906051011, 3.7284978066194134, 3.7531936995212418, 3.7809206915694009, 3.8116320606314558, 3.845175726699372, 3.8812727105857916, 3.9195070674985333, 3.9593312963593514, 4.0000889448158725, 4.0410528440802009, 4.0814740038119464, 4.120633776543877, 4.1578912991374368, 4.1927196087540217, 4.224726655398471, 4.2536606987733965, 4.2794023164373467, 4.3019468814989859, 4.3213818003584068, 4.3378623101879441, 4.3515886461404945, 4.3627862868397518, 4.3716900295156975, 4.3785319478257438, 4.3835328557421533, 4.3868966925518436, 4.3888071909777189, 4.3894262310584562, 4.3888933693826102, 4.3873261350228185, 4.3848207817656544, 4.3814532722006412, 4.3772803401994587, 4.3723405350004532, 4.366655194899872, 4.3602293344229412, 4.3530524587753785, 4.345099346012689, 4.3363308628515238, 4.3266949058738478, 4.3161275866552034, 4.3045548065302119, 4.2918943921231261, 4.278058982096951, 4.2629598618086293, 4.2465119256934303, 4.2286398945614279, 4.209285812719636, 4.1884176862658551, 4.1660388951637097, 4.1421977293643222, 4.1169960982163945, 4.0905962056262828, 4.0632238579050268, 4.0351671706227172, 4.0067698335118429, 3.9784187824706443, 3.9505270244949822, 3.9235132797931271, 3.8977808083050904, 3.8736980640460486, 3.8515835667515788, 3.8316966470022567, 3.8142346977055883, 3.7993365083742101, 3.7870904019834746, 3.777545377040076, 3.770723304594592, 3.7666303749429408, 3.765266322487232], [3.8611988213603374, 3.8617021171152537, 3.8632090075641488, 3.8657104071948849, 3.8691908531502253, 3.8736280116498976, 3.8789919572127567, 3.885244186063304, 3.8923363003629943, 3.9002082627192705, 3.9087860650459985, 3.917978573754894, 3.9276731914866869, 3.9377297942057807, 3.9479721307586724, 3.9581754631282684, 3.9680486103968406, 3.9772076418632194, 3.9851371299710543, 3.9911330389914075, 3.9942191172506996, 3.9930269233406506, 3.9856312090530257, 3.9693450781700479, 3.9405209741112257, 3.8945060933995839, 3.8260927290204476, 3.7310101703430902, 3.6088144788991232, 3.4661939725209705, 3.3175214903622274, 3.1798695469021157, 3.0651844931510537, 2.9763178403656974, 2.9092194524588351, 2.8575378487768495, 2.8158411932076803, 2.7806978708935586, 2.7504781317939337, 2.7247434156115373, 2.7036646826339559, 2.6876101745679182, 2.6769072946973047, 2.6717379588257342, 2.6721193744643643, 2.6779291625209378, 2.6889453372161416, 2.7048833962594716, 2.7254223993860132, 2.7502186095836736, 2.7789091542764814, 2.8111098146311271, 2.8464111565038759, 2.8843763832274441, 2.9245429981309337, 2.9664289800666914, 3.0095429704507106, 3.0533971249505738, 3.0975208766860685, 3.141473871307487, 3.1848566689550153, 3.2273183224866258, 3.2685604927977105, 3.308338239306257, 3.3464579631133682, 3.3827731651010136, 3.4171787291514799, 3.4496043882248624, 3.4800079190097231, 3.508368474894878, 3.5346803330949061, 3.5589472157124784, 3.5811772536960147, 3.6013785985097231, 3.6195556469307415, 3.63570582639352, 3.6498168883606135, 3.6618646727732309, 3.6718113364482354, 3.6796040824049117, 3.6851744868400456, 3.6884385979562215, 3.6892980781693976, 3.687642778870277, 3.6833552710133404, 3.6763179927425793, 3.6664237891183475, 3.6535906571215522, 3.6377813874153295, 3.6190283925408191, 3.5974631839588942, 3.5733485791846595, 3.5471097636991527, 3.5193580267387681, 3.490898961769783, 3.4627162473791984, 3.4359240981617822, 3.4116869742687395, 3.3911137092142107, 3.3751424639756058, 3.364438980252269, 3.359329996324683, 3.3597855770530018, 3.3654513308456653, 3.3757191821618924, 3.3898180969459246, 3.4069055958804668, 3.4261455925590618, 3.4467650163460779, 3.4680880253187736, 3.4895508630116012, 3.5107023442716758, 3.5311951262296484, 3.5507720994928174, 3.5692510616334325, 3.5865097070290712, 3.6024720652975457, 3.6170968844233666, 3.6303680517248229, 3.6422869189416254, 3.6528662905301355, 3.6621258013362539, 3.6700884187209422, 3.6767778336706902, 3.682216542557212, 3.6864244588723825, 3.6894179289757294, 3.6912090563688933, 3.6918052652156925, 3.6917126578476518, 3.6914347413733699, 3.6909712326997188, 3.6903216600668425, 3.6894853631528282, 3.6884614932452271, 3.6872490135038976, 3.6858466993489047, 3.6842531390153197, 3.6824667343269111, 3.6804857017513601, 3.678308073812433, 3.6759317009472032, 3.6733542539145083, 3.6705732268757085, 3.6675859412931358, 3.6643895508126274, 3.6609810473255577, 3.6573572684371869, 3.6535149066041761, 3.649450520247278, 3.6451605471923099, 3.6406413208503259, 3.6358890896112408, 3.6309000400000122, 3.6256703242305068, 3.6201960928900965, 3.6144735336014895, 3.6084989166371861, 3.6022686486104978, 3.5957793355346821, 3.5890278567334208, 3.5820114513014509, 3.5747278190570166, 3.5671752381990949, 3.5593527021813989, 3.5512600786453352, 3.5428982936082249, 3.5342695444818788, 3.5253775458866463, 3.5162278126201403, 3.5068279845116397, 3.4971881982185824, 3.4873215112566709, 3.4772443836428857, 3.4669772223935307, 3.4565449936539761, 3.4459779063059859, 3.4353121693314819, 3.4245908227862012, 3.4138646386919089, 3.4031930831702164, 3.3926453243590386, 3.3823012616841517, 3.372252540523065, 3.3626035018775871, 3.3534719992017217, 3.3449899941361081, 3.3373038201744532, 3.3305739795245661, 3.3249743158909708, 3.3206903880873329, 3.3179168611976855, 3.3168537397711986, 3.3177012986617855, 3.3206536292127744, 3.3258908177870574, 3.3335699127817362, 3.3438150114234189, 3.3567069958044793, 3.3722736447855217, 3.3904810100697631, 3.4112270299271215, 3.4343383230838858, 3.4595709309752563, 3.4866154555391144, 3.5151066004388882, 3.544636626422919, 3.5747717590602641, 3.6050702257215232, 3.6351004166263485, 3.6644576939087217, 3.6927786004406653, 3.7197515946320339, 3.745123882756749, 3.7687043571970364, 3.7903630126702663, 3.8100274640502252, 3.8276773178638868, 3.8433371671287992, 3.857068912483455, 3.8689639933445248, 3.8791359708340281, 3.8877137628054586, 3.8948357058775702, 3.9006445179585931, 3.9052831594742301, 3.9088915406730083, 3.9116039921012078, 3.9135474009670044, 3.9148399131081373, 3.9155901047035369, 3.9158965366047864, 3.915847614902404, 3.9155216925132104, 3.9149873571880409, 3.9143038608578546, 3.9135216534299806, 3.9126829909955614, 3.9118225940171767, 3.9109683355954723, 3.910141943552695, 3.9093597030017451, 3.9086331484484687, 3.9079697364395982, 3.9073734914187379, 3.9068456188650438, 3.9063850810142848, 3.9059891315330786, 3.9056538064504243, 3.9053743694574417, 3.905145710366599, 3.9049626960801445, 3.9048204738511147, 3.9047147269372302, 3.9046418829501182, 3.9045992753030503, 3.9045852581695302, 3.9045992753030552, 3.9046418829501319, 3.9047147269372133, 3.9048204738511259, 3.9049626960801498, 3.9051457103666101, 3.9053743694574408, 3.9056538064504238, 3.9059891315330693, 3.9063850810142866, 3.9068456188650398, 3.9073734914187535, 3.9079697364396075, 3.9086331484484709, 3.9093597030017357, 3.9101419435526901, 3.9109683355954816, 3.9118225940171865, 3.9126829909955401, 3.9135216534299748, 3.9143038608578706, 3.9149873571880365, 3.9155216925132086, 3.9158476149023964, 3.9158965366047802, 3.9155901047035453, 3.9148399131081404, 3.913547400966995, 3.9116039921012096, 3.9088915406729909, 3.9052831594742199, 3.9006445179585927, 3.8948357058775747, 3.8877137628054435, 3.87913597083404, 3.8689639933445537, 3.8570689124834567, 3.8433371671287939, 3.8276773178638965, 3.8100274640502341, 3.7903630126702503, 3.7687043571970409, 3.7451238827567357, 3.7197515946319917, 3.6927786004407084, 3.664457693908715, 3.6351004166263938, 3.605070225721513, 3.5747717590602672, 3.544636626422955, 3.5151066004388736, 3.4866154555390989, 3.4595709309752452, 3.4343383230839346, 3.411227029927125, 3.3904810100697547, 3.3722736447854627, 3.3567069958044482, 3.3438150114234233, 3.33356991278175, 3.3258908177870632, 3.3206536292127606, 3.3177012986617949, 3.3168537397711817, 3.3179168611976917, 3.3206903880873186, 3.3249743158909699, 3.3305739795245786, 3.3373038201744571, 3.3449899941360952, 3.3534719992017239, 3.3626035018775964, 3.3722525405230641, 3.3823012616841313, 3.3926453243590182, 3.4031930831702266, 3.4138646386919187, 3.4245908227862114, 3.4353121693314947, 3.4459779063059885, 3.4565449936539596, 3.4669772223935507, 3.4772443836429137, 3.487321511256682, 3.4971881982185815, 3.5068279845116281, 3.5162278126201452, 3.5253775458866548, 3.5342695444818997, 3.5428982936082338, 3.5512600786453241, 3.5593527021813989, 3.5671752381991078, 3.5747278190570282, 3.5820114513014376, 3.5890278567334213, 3.5957793355347003, 3.6022686486105, 3.6084989166372079, 3.6144735336014993, 3.6201960928900947, 3.625670324230502, 3.6309000400000242, 3.6358890896112457, 3.6406413208503379, 3.6451605471923156, 3.6494505202472616, 3.6535149066041783, 3.6573572684371651, 3.6609810473255471, 3.6643895508126181, 3.6675859412931455, 3.6705732268756925, 3.6733542539144821, 3.6759317009472161, 3.6783080738124161, 3.6804857017513615, 3.6824667343269066, 3.6842531390153135, 3.6858466993489105, 3.6872490135039024, 3.6884614932452151, 3.6894853631528433, 3.6903216600668372, 3.6909712326997108, 3.6914347413733553, 3.6917126578476553, 3.6918052652157303, 3.6917589643618935, 3.6916200485778727, 3.6913884782051127, 3.6910641871770782, 3.6906470830659925, 3.6901370471492623, 3.6895339344967399, 3.6888375740794861, 3.6880477689018765, 3.6871642961589082, 3.6861869074206046, 3.6851153288460829, 3.683949261430028, 3.682688381285065, 3.6813323399631579, 3.6798807648205294, 3.6783332594304654, 3.6766894040490619, 3.6749487561395444, 3.6731108509619252, 3.6711752022338167, 3.6691413028713589, 3.6670086258181516, 3.664776624971366, 3.6624447362159964, 3.6600123785782173, 3.657478955510816, 3.6548438563240535, 3.6521064577779736, 3.6492661258525625, 3.6463222177141388, 3.6432740838988638, 3.6401210707353751, 3.6368625230315832, 3.6334977870521237, 3.6300262138171178, 3.6264471627541157, 3.6227600057397686, 3.6189641315701997, 3.6150589509034794, 3.6110439017219895, 3.6069184553656508, 3.602682123194155, 3.5983344639393104, 3.5938750918164879, 3.5893036854687068, 3.5846199978251168, 3.5798238669620583, 3.5749152280630163, 3.5698941265821049, 3.5647607327246345, 3.559515357368042, 3.5541584695558415, 3.5486907157083585, 3.5431129407042525, 3.5374262109985524, 3.531631839953302, 3.5257314155697843, 3.519726830820245, 3.5136203167895719, 3.5074144788456993, 3.5011123360661722, 3.4947173641548903, 3.4882335420858173, 3.4816654027116867, 3.4750180875698287, 3.4682974061082632, 3.4615098995359519, 3.4546629094758314, 3.4477646515594702, 3.4408242940520362, 3.4338520415271634, 3.4268592235244912, 3.4198583880117623, 3.412863399336727, 3.4058895401854876, 3.3989536168604855, 3.3920740669484486, 3.3852710681601139, 3.3785666467881788, 3.3719847838409884, 3.3655515164678009, 3.3592950317941597, 3.353245749734965, 3.3474363907569233, 3.3419020239244031, 3.336680089906733, 3.3318103929647833, 3.3273350553079357, 3.3232984266526531, 3.3197469413762728, 3.3167289154002719, 3.3142942749309681, 3.3124942095099188, 3.3113807425672408, 3.3110062139185663, 3.311422670476758, 3.3126811639369786, 3.3148309573729802, 3.3179186465608779, 3.3219872063729037, 3.3270749776426936, 3.3332146153059878, 3.3404320240923981, 3.3487453132373837, 3.3581638061770462, 3.3686871445246633, 3.3803045273408086, 3.3929941263671766, 3.4067227151736219, 3.4214455448800276, 3.4371064912802098, 3.4536384880553976, 3.4709642488125199, 3.4889972676140295, 3.5076430743666078, 3.5268007088572064, 3.5463643663377558, 3.5662251592023622, 3.5862729341239294, 3.6063980823841248, 3.6264932831028043, 3.646455124381764, 3.6661855555005651, 3.6855931334950762, 3.7045940388589949, 3.7231128468661487, 3.741083052299083, 3.791175268597045, 3.8348115675440617, 3.8716003955723184, 3.9016724584621483, 3.9255117286238201, 3.9438013594431611, 3.9573034988346891, 3.9667765295919337, 3.9729247450901357, 3.9763724282825463, 3.9776544576471258, 3.9772170852158633, 3.9754243263777709, 3.972566964276258, 3.9688723509453636, 3.9645139990183598, 3.9596204776023107, 3.9542834360432479, 3.9485647484944142, 3.9425028513305369, 3.9361183698251532, 3.9294191236965301, 3.9224045785830493, 3.9150697822883056, 3.9074087972819025, 3.8994176186580543, 3.8910965521304215, 3.8824520210636688, 3.8734977754237767, 3.8642554884293032, 3.8547547473676342, 3.8450324715064181, 3.8351318195829687, 3.8251006787432247, 3.8149898524615673, 3.8048510834373652, 3.7947350558219175, 3.7846895175543427, 3.7747576477125451, 3.7649767669163707, 3.7553774537928546, 3.7459830912924974, 3.7368098276891915, 3.7278669026157143, 3.7191572618286397, 3.7106783675865715, 3.7024231051476009, 3.6943806891993969, 3.6865374853011015, 3.6788776783552377, 3.6713837403330052, 3.6640366707576435, 3.6568160040516249, 3.6496995965522325, 3.6426632220850785, 3.6356800181913815, 3.6287198354918435, 3.6217485505164637, 3.6147274080228051, 3.6076124627728059, 3.6003541932915559, 3.5928973614939652, 3.5851811922257886, 3.5771399453827262, 3.5687039495932775, 3.5598011592340009, 3.5503592840306868, 3.5403085205167408, 3.5295848848589619, 3.51813410509597, 3.5059159769364037, 3.4929090224725465, 3.4791152204700651, 3.4645645097548514, 3.4493187179792546, 3.4334745553146835, 3.4171653572746643, 3.4005613828925987, 3.3838686892331586, 3.3673269184977555, 3.3512067489696262, 3.3358082671231886, 3.3214620990588912, 3.3085357630871592, 3.2974482953132869, 3.2886965645275725, 3.2828963826521931, 3.2808395884137092, 3.2835629859639957, 3.292413650798482, 3.3090747978219253, 3.3354876226087447, 3.3735796808528411, 3.4247254400542451, 3.488975681171655, 3.5643185019505603, 3.6464468766675813, 3.7294222364535918, 3.8071089441238977, 3.874685246123589, 3.9294927885637483, 3.9710032272017344, 4.0002103850454427, 4.0188977257601435, 4.0290657990194596, 4.0325939701078033, 4.0310922910478295, 4.0258702058822484, 4.0179625184092167, 4.0081757847388442, 3.9971362900505381, 3.9853317875393719, 3.9731449066881748, 3.960878688076674, 3.9487755926974417, 3.9370314582499484, 3.9258056977174305, 3.9152287753397328, 3.9054077434664696, 3.8964304120231108, 3.8883685556389911, 3.8812804372751022, 3.8752128341789218, 3.8702026850885787, 3.8662784307760081, 3.8634610883764511, 3.8617650796554348, 3.8611988213603374, 3.8615763905436258, 3.8627080236176696, 3.8645904617686702, 3.8672181559303604, 3.8705830910139452, 3.8746745412319541, 3.8794787574614435, 3.8849785871844307, 3.891153026574377, 3.8979767025966314, 3.9054192803632448, 3.9134447872159934, 3.9220108398926148, 3.9310677544647312, 3.9405575103830386, 3.9504125299196087, 3.9605542227816746, 3.9708912333502626, 3.9813173162321132, 3.991708757162554, 4.0019212551726948, 4.0117861955972254, 4.0211062833691082, 4.0296505892058097, 4.0371492118290799, 4.0432880084253133, 4.0477042280049496, 4.0499844260309832, 4.0496667407273916, 4.0462503949718096, 4.0392159380641033, 4.0280598387262501, 4.0123459395114871, 3.9917732474773322, 3.966254150571868, 3.9359900232465441, 3.9015246380125328, 3.8637537562955622, 3.8238755493289922, 3.7832817315539589, 3.7434086349619751, 3.7055819702220045, 3.6708910280737514, 3.6401166009105363, 3.6137183405293465, 3.591870656235288, 3.5745275700021475, 3.56149678300776, 3.5525084226791805, 3.5472706352209715, 3.5455097220610527, 3.5469959139681051, 3.5515573023552256, 3.5590845358630725, 3.5695282899551946, 3.5828907156800462, 3.5992113895172744, 3.6185479204466708, 3.640951452225226, 3.6664378944643348, 3.6949567954014415, 3.7263611466354742, 3.760382699686931, 3.7966180203771871, 3.8345299418604548, 3.873466995296861, 3.9127000317759384, 3.951471456166145, 3.9890495006985236, 4.0247788439338548, 4.0581200201400458, 4.0886729874169889, 4.1161838485929882, 4.1405368944829757, 4.161736111259974, 4.1798808869425557, 4.19514015199527, 4.2077280849244456, 4.2178832655850185, 4.225852074132102, 4.2318763495598857, 4.2361848492316092, 4.238987832033315, 4.2404740437835802, 4.2408094418039859, 4.2401371015153071, 4.2385778661206626, 4.2362314110372319, 4.2331774888210933, 4.2294771956933603, 4.2251741588546388, 4.2202955876372465, 4.2148531647275522, 4.2088437796125566, 4.2022501280977123, 4.1950412217857798, 4.1871728718817938, 4.1785882341517588, 4.1692185271871427, 4.1589840642645024, 4.1477957686251434, 4.1355573695655643, 4.1221684963087597, 4.1075288889006005, 4.091543917498627, 4.074131527733579, 4.0552305943129996, 4.0348104562570315, 4.0128811259587582, 3.9895033333712666, 3.9647972390952693, 3.9389484112931776, 3.9122096175254595, 3.8848972324394966, 3.8573816534809939, 3.8300720031199482, 3.8033964175590622, 3.7777801307415659, 3.7536240973729766, 3.7312868823385203, 3.711071958252957, 3.6932215512548163, 3.6779170231468177, 3.6652847530810049, 3.6554057817907739, 3.6483271790094332, 3.6440731499482557, 3.6426542037943244], [3.7676959981096001, 3.7681750085901689, 3.7696092514020503, 3.7719902869639998, 3.7753038011781874, 3.7795292237038369, 3.7846391714559764, 3.7905986878997853, 3.7973642289819618, 3.8048823166290946, 3.8130877360096092, 3.8219010862841118, 3.8312253957257867, 3.8409413642726551, 3.8509005736495747, 3.8609156662014694, 3.8707459752656717, 3.8800762980026602, 3.8884853055715762, 3.8953983343854022, 3.9000169135785647, 3.9012146495431903, 3.8973875525131128, 3.8862515762064018, 3.8646043732598541, 3.8281411442987863, 3.7715807900559071, 3.6896241644969408, 3.5793875808835445, 3.4441509102083252, 3.2958899851479289, 3.1524495185672015, 3.029313734351097, 2.9328634853162781, 2.8606320227268496, 2.8061082663717452, 2.7630023805324178, 2.7270534298563351, 2.6960826654376753, 2.6693810955503374, 2.6470485083840343, 2.6294992516858331, 2.6171607962178758, 2.6103267651575335, 2.6091132568981892, 2.6134728236693432, 2.6232319970349658, 2.6381306655489469, 2.6578523344838958, 2.6820421580825511, 2.7103144736980513, 2.7422538411851001, 2.7774139906809507, 2.8153182923342999, 2.8554639661332235, 2.8973307143379086, 2.9403931310049694, 2.9841353448072749, 3.0280659701782633, 3.071731538117735, 3.1147270184255644, 3.1567026540616494, 3.1973669402673184, 3.2364860773861248, 3.2738805489933762, 3.3094196219897571, 3.3430145647218863, 3.3746112807022808, 3.4041829066637419, 3.4317227625766531, 3.4572378932463561, 3.4807433197083295, 3.5022570284007442, 3.521795665883523, 3.539370872713191, 3.554986177241287, 3.5686343743857565, 3.5802953328895954, 3.58993420587954, 3.5975000639276367, 3.6029250290771522, 3.6061240653612252, 3.6069956796156259, 3.6054239084109021, 3.6012821118898724, 3.5944392548384294, 3.584769506838037, 3.5721660905807915, 3.5565602692456149, 3.5379460653906452, 3.5164105798022587, 3.4921684560307864, 3.4655970191011161, 3.4372660389208325, 3.4079534889676482, 3.378637202818072, 3.3504535021647501, 3.3246189935400978, 3.3023208302234477, 3.2845915834992359, 3.2721931397615003, 3.265535214907509, 3.2646463106829082, 3.2692008001350743, 3.2785911893841631, 3.2920252267655479, 3.3086259695220095, 3.3275178373281005, 3.3478895481545772, 3.3690322280760991, 3.3903559911768206, 3.4113905740038528, 3.4317758239392031, 3.451246896311897, 3.4696176690999225, 3.4867646013605906, 3.5026122481527668, 3.5171209401886427, 3.530276698254927, 3.5420832119156516, 3.5525556033853025, 3.5617156689646698, 3.5695883057914375, 3.576198867590235, 3.5815712358442866, 3.5857264349431546, 3.5886816579535399, 3.5904496026027939, 3.5910380450248396, 3.5909468649553684, 3.590673228151628, 3.590216844833523, 3.5895772320581671, 3.5887537137678023, 3.5877454208826105, 3.5865512914637017, 3.5851700709811096, 3.5836003127300757, 3.5818403784494959, 3.579888439207521, 3.5777424766327313, 3.5754002845827419, 3.5728594713609763, 3.570117462608501, 3.5671715050232518, 3.5640186710817199, 3.5606558649690352, 3.5570798299570718, 3.5532871575090184, 3.5492742984352237, 3.5450375764762367, 3.5405732047513174, 3.5358773055796364, 3.5309459342627165, 3.5257751075104933, 3.5203608373002671, 3.5146991710820954, 3.5087862393854552, 3.5026183120450716, 3.4961918644483458, 3.4895036554177619, 3.4825508185794143, 3.4753309693367154, 3.4678423298676746, 3.4600838748941714, 3.4520555013353249, 3.4437582253466905, 3.4351944106617585, 3.4263680325770483, 3.4172849823465814, 3.4079534171447641, 3.3983841610886563, 3.3885911630280319, 3.3785920168457046, 3.3684085497674121, 3.3580674835355926, 3.3476011720906009, 3.3370484174216166, 3.3264553622350919, 3.315876453733178, 3.3053754667264186, 3.2950265661188172, 3.2849153780698268, 3.2751400254621115, 3.2658120663984986, 3.2570572542625422, 3.2490160147532614, 3.2418435102315941, 3.2357091365885693, 3.2307952757745033, 3.2272951126951832, 3.2254093245597764, 3.2253414715329578, 3.227291968012207, 3.231450601686916, 3.23798769758461, 3.2470441957110805, 3.2587211138887064, 3.2730690808281482, 3.290078815149553, 3.309673551611986, 3.3317044317251856, 3.3559497467236636, 3.3821186329211352, 3.409859391395532, 3.4387720901465397, 3.4684245902391053, 3.4983707119024015, 3.5281690033845137, 3.5574005413947583, 3.5856843771596205, 3.6126896010754157, 3.6381434552810061, 3.6618353913465418, 3.6836173753321884, 3.7034010360425835, 3.7211524160666309, 3.7368851273616195, 3.7506526595887557, 3.7625404735436616, 3.7726583663795767, 3.7811334462204784, 3.7881039191612365, 3.7937137813334454, 3.7981084258927877, 3.8014311181513856, 3.8038202577809304, 3.8054073301597144, 3.8063154446507239, 3.8066583615938021, 3.806539918635333, 3.8060537781538883, 3.8052834292088002, 3.8043023885356644, 3.8031745550194413, 3.8019546805352205, 3.8006889270277573, 3.7994154853194892, 3.7981652355826387, 3.7969624328981286, 3.7958254040651092, 3.7947672440100937, 3.793796501926999, 3.7929178487847057, 3.7921327191508545, 3.791439921458823, 3.7908362119205932, 3.7903168282768922, 3.7898759804768365, 3.7895072961884195, 3.7892042197459199, 3.7889603637348883, 3.7887698128886029, 3.7886273803242334, 3.7885288163804991, 3.7884709704426083, 3.7884519061644086, 3.7884709704426101, 3.7885288163805133, 3.7886273803242183, 3.7887698128886145, 3.788960363734895, 3.7892042197459315, 3.7895072961884178, 3.7898759804768369, 3.7903168282768838, 3.7908362119205963, 3.7914399214588173, 3.7921327191508691, 3.7929178487847151, 3.793796501927003, 3.7947672440100848, 3.7958254040651043, 3.7969624328981371, 3.7981652355826476, 3.7994154853194688, 3.800688927027752, 3.8019546805352342, 3.8031745550194369, 3.804302388535663, 3.8052834292087936, 3.806053778153883, 3.8065399186353401, 3.8066583615938039, 3.806315444650715, 3.805407330159714, 3.8038202577809144, 3.8014311181513771, 3.798108425892786, 3.7937137813334494, 3.7881039191612227, 3.7811334462204895, 3.7726583663796038, 3.7625404735436634, 3.7506526595887513, 3.7368851273616297, 3.7211524160666394, 3.7034010360425698, 3.6836173753321924, 3.6618353913465307, 3.6381434552809644, 3.6126896010754574, 3.5856843771596156, 3.5574005413948, 3.5281690033845039, 3.498370711902405, 3.4684245902391426, 3.4387720901465251, 3.4098593913955146, 3.3821186329211228, 3.3559497467237152, 3.3317044317251905, 3.309673551611974, 3.2900788151494917, 3.2730690808281158, 3.2587211138887082, 3.2470441957110951, 3.2379876975846154, 3.2314506016869045, 3.2272919680122167, 3.22534147153294, 3.2254093245597812, 3.2272951126951703, 3.2307952757745046, 3.2357091365885799, 3.2418435102315968, 3.2490160147532468, 3.2570572542625444, 3.2658120663985062, 3.2751400254621093, 3.2849153780698068, 3.2950265661187976, 3.3053754667264301, 3.3158764537331868, 3.3264553622351012, 3.3370484174216286, 3.3476011720906036, 3.3580674835355775, 3.3684085497674325, 3.3785920168457313, 3.3885911630280425, 3.3983841610886545, 3.4079534171447525, 3.4172849823465863, 3.4263680325770571, 3.435194410661778, 3.4437582253466998, 3.4520555013353129, 3.4600838748941718, 3.4678423298676888, 3.4753309693367274, 3.4825508185794014, 3.4895036554177636, 3.4961918644483641, 3.5026183120450729, 3.5087862393854756, 3.5146991710821052, 3.5203608373002635, 3.5257751075104879, 3.5309459342627272, 3.53587730557964, 3.5405732047513299, 3.5450375764762407, 3.5492742984352059, 3.5532871575090206, 3.5570798299570496, 3.560655864969025, 3.5640186710817092, 3.5671715050232606, 3.5701174626084837, 3.5728594713609501, 3.5754002845827544, 3.5777424766327153, 3.5798884392075219, 3.5818403784494914, 3.5836003127300695, 3.5851700709811154, 3.5865512914637074, 3.5877454208825985, 3.5887537137678169, 3.5895772320581618, 3.5902168448335154, 3.5906732281516138, 3.590946864955372, 3.591038045024876, 3.5909924578650445, 3.5908556825877973, 3.5906276778082615, 3.5903083745808004, 3.5898976764428969, 3.589395459477644, 3.5888015723960112, 3.5881158366396262, 3.5873380465059879, 3.5864679692980523, 3.5855053455001835, 3.5844498889831882, 3.5833012872413259, 3.5820592016648978, 3.5807232678518215, 3.5792930959628579, 3.577768271125116, 3.5761483538891854, 3.5744328807458787, 3.5726213647096707, 3.570713295975128, 3.5687081426557383, 3.5666053516135574, 3.564404349389465, 3.5621045432456828, 3.5597053223322752, 3.5572060589914334, 3.5546061102139435, 3.5519048192648559, 3.5491015174960365, 3.5461955263653282, 3.5431861596847161, 3.5400727261212879, 3.5368545319778493, 3.5335308842819271, 3.5301010942161066, 3.5265644809243573, 3.5229203757338028, 3.5191681268342334, 3.5153071044625195, 3.5113367066437333, 3.507256365544638, 3.5030655545026548, 3.4987637957970863, 3.494350669237813, 3.489825821651833, 3.4851889773570042, 3.4804399497195035, 3.4755786539004805, 3.4706051209065185, 3.4655195130685197, 3.460322141084065, 3.455013482768984, 3.4495942036757743, 3.4440651797479327, 3.4384275221919358, 3.4326826047600791, 3.4268320936509524, 3.4208779802443483, 3.414822616900171, 3.4086687560598268, 3.4024195928969094, 3.3960788117701344, 3.3896506367329065, 3.383139886353133, 3.3765520330877208, 3.3698932674429218, 3.3631705671262071, 3.3563917713620701, 3.3495656604940067, 3.3427020409313353, 3.3358118354139226, 3.3289071784603625, 3.3220015167292756, 3.3151097138564039, 3.3082481591255939, 3.3014348790859902, 3.2946896509356596, 3.2880341161471658, 3.2814918924119674, 3.2750886815215652, 3.2688523702860643, 3.2628131210138775, 3.2570034474446752, 3.2514582713536022, 3.2462149543372636, 3.2413132985811828, 3.2367955097176524, 3.232706114260667, 3.2290918235972019, 3.2260013361913651, 3.2234850695913626, 3.2215948141090922, 3.2203833007599036, 3.2199036773022076, 3.2202088880972095, 3.2213509560894962, 3.2233801685463623, 3.2263441722892914, 3.2302869889610135, 3.2352479662748062, 3.2412606869850658, 3.2483518632076511, 3.2565402493208571, 3.2658356115397131, 3.276237795867921, 3.2877359379834776, 3.3003078582378245, 3.3139196819763996, 3.3285257196328795, 3.344068632528868, 3.360479899313416, 3.377680585045046, 3.3955824008492614, 3.4140890278381408, 3.4330976656292704, 3.4525007543792849, 3.4721878106752166, 3.4920473125663576, 3.5119685678346033, 3.5318435022949597, 3.5515683111611267, 3.5710449256653893, 3.5901822583594418, 3.6088972028890312, 3.6271153765805302, 3.6447716060472719, 3.6618101665114051, 3.7088031964404697, 3.7491049667522511, 3.7825683441794165, 3.8095039413211831, 3.8305089345134142, 3.8463228073134719, 3.8577216635779221, 3.8654497643679693, 3.8701809352077534, 3.8725011903159148, 3.8729049962125313, 3.8717994597732441, 3.8695125433737076, 3.8663028614852033, 3.862369649195549, 3.8578621760102498, 3.8528882982452388, 3.8475220825439891, 3.8418105548164934, 3.8357796778440285, 3.8294396668558317, 3.8227897350587101, 3.8158223329447138, 3.8085269142934886, 3.8008932333539591, 3.7929141551012364, 3.7845879458184641, 3.7759200057084721, 3.7669240091855984, 3.7576224316141369, 3.7480464625104251, 3.7382353328200799, 3.728235115253459, 3.7180970885497451, 3.7078757851851916, 3.6976268636102398, 3.6874049571988943, 3.6772616503972824, 3.6672437173082124, 3.6573917302604184, 3.647739108702873, 3.6383116363370309, 3.6291274317295725, 3.6201973195299133, 3.6115255197226581, 3.6031105534674195, 3.5949462567600241, 3.58702279659797, 3.579327596617992, 3.5718460977163495, 3.5645623012432308, 3.557459065512584, 3.5505181486198287, 3.5437200105533715, 3.5370434045423527, 3.530464801221985, 3.5239576995996407, 3.5174918862915461, 3.5110327095193341, 3.5045404373932176, 3.4979697715164808, 3.491269587261677, 3.4843829713570003, 3.4772476255648592, 3.4697967017540861, 3.46196012762503, 3.4536664722941368, 3.444845384969716, 3.4354306158655192, 3.4253635942620346, 3.4145974930410556, 3.4031016527284623, 3.3908661747495055, 3.3779064311064428, 3.3642671889174429, 3.3500260310904868, 3.3352957905033698, 3.3202258273199723, 3.3050021882111134, 3.2898470073012942, 3.2750179483341584, 3.2608090420958491, 3.2475549236741417, 3.2356411708350374, 3.2255240633717412, 3.2177633263036585, 3.2130706266702562, 3.212373436228452, 3.2168860175248848, 3.2281634732528608, 3.2480886193852445, 3.2787094449129492, 3.3218307242063601, 3.3783195536477209, 3.4472672190169757, 3.5254176262938217, 3.6073821697418422, 3.6868194796148579, 3.7580870572161245, 3.8175032526477648, 3.8636928557831838, 3.8971402966428399, 3.9194253758716164, 3.9325400336744427, 3.9384459698959615, 3.9388593199616229, 3.9351862882883659, 3.9285377564284243, 3.9197752219064288, 3.9095625498915068, 3.8984123524711065, 3.8867235133958995, 3.8748099127731095, 3.8629217174570272, 3.8512608688481968, 3.8399922437926324, 3.8292516820220226, 3.8191517900027474, 3.8097861897463199, 3.8012326904922928, 3.7935557163770866, 3.7868082158705181, 3.7810332006858713, 3.7762650061960286, 3.7725303267322845, 3.7698490533323326, 3.7682349253303449, 3.7676959981096001, 3.7680553426826919, 3.7691323289385466, 3.7709237854790554, 3.7734243302914989, 3.7766262273706301, 3.7805191881084612, 3.7850901191513535, 3.7903228182915898, 3.7961976193218678, 3.8026909854885971, 3.8097750490651143, 3.8174170914443399, 3.8255789538334883, 3.8342163629374189, 3.8432781487873009, 3.8527053230301922, 3.8624299756000209, 3.8723739360782026, 3.8824471339978501, 3.8925455814157948, 3.9025488940838016, 3.9123172692863109, 3.9216878566654847, 3.9304705051982367, 3.9384429627352104, 3.9453457687137448, 3.9508773465100457, 3.9546902014989929, 3.9563896847321209, 3.955537472137701, 3.9516626326033197, 3.944283665313562, 3.9329447244372022, 3.917267775879429, 3.8970190056646663, 3.8721822492473423, 3.843025515815838, 3.8101414652987171, 3.7744427413208688, 3.7371012911617925, 3.699436432061749, 3.6627736662974093, 3.6283067629197543, 3.5969938448829377, 3.5695053327346424, 3.5462245551003151, 3.5272884123668615, 3.5126497443000697, 3.5021444139154658, 3.4955513600321875, 3.4926397059928416, 3.493201481693279, 3.4970710665941991, 3.5041334009606855, 3.5143229503122457, 3.5276149231087346, 3.5440097673495501, 3.5635117926495377, 3.5861030381766632, 3.6117142634932424, 3.6401960504300162, 3.6712941501619252, 3.7046338985022058, 3.7397182125690263, 3.7759420187247672, 3.8126230421070133, 3.8490453870505887, 3.884509343326195, 3.9183794192413473, 3.9501232424752195, 3.9793364012962931, 4.0057516067402377, 4.0292336515135574, 4.0497637287205572, 4.0674174798365215, 4.0823408574937963, 4.09472694619466, 4.1047957268497646, 4.1127777176287044, 4.1189016328696706, 4.12338570448222, 4.1264320625727056, 4.1282235023304601, 4.1289220027418407, 4.1286684548988948, 4.1275831669567706, 4.1257668179418161, 4.1233016234462205, 4.1202525495905906, 4.1166684682196397, 4.1125831886849573, 4.1080163329440165, 4.1029740442141396, 4.0974495379065132, 4.0914235194716859, 4.0848645091798179, 4.077729130428474, 4.0699624372351604, 4.0614983789534698, 4.0522605260784808, 4.0421632093261319, 4.0311132524182502, 4.0190125023383079, 4.0057613714226816, 3.9912635922866184, 3.9754323348612495, 3.9581977288448318, 3.9395156610592084, 3.9193774707787803, 3.8978198599514751, 3.8749340089923336, 3.8508726138070331, 3.8258534333493173, 3.8001580615056483, 3.7741250816797796, 3.7481375195461881, 3.7226054648370042, 3.6979456733775509, 3.6745606294031758, 3.6528197358861569, 3.6330449295440355, 3.6155021778852148, 3.6003992330650845, 3.5878889642392888, 3.5780767914482348, 3.5710303160304293, 3.5667891852179596, 3.5653734617806387], [3.7085028767396184, 3.7089495914857729, 3.7102868110880642, 3.7125057012364775, 3.7155913349343832, 3.7195223807565974, 3.724270649819978, 3.7298004787153265, 3.7360679097468998, 3.7430196056212628, 3.7505913995881515, 3.758706328573246, 3.7672719177591989, 3.7761763673425293, 3.785283115145579, 3.7944229795560092, 3.8033826742052224, 3.8118878493024351, 3.8195778376694274, 3.8259678110781672, 3.8303919289122903, 3.8319182958785558, 3.8292238435178794, 3.8204174827385287, 3.8028116482467715, 3.7726870469216967, 3.725214788803433, 3.6549384769378719, 3.5574922908602642, 3.4329926084644846, 3.289757560379869, 3.1442468693718686, 3.0143179842171279, 2.9104382430272091, 2.8328971315572931, 2.7757492911911767, 2.7319995043345293, 2.6964222169084109, 2.6660901726449784, 2.6398526395410653, 2.6176173785835899, 2.5997723934773136, 2.5868124378094199, 2.5791391957264986, 2.57698253402509, 2.5803939092048376, 2.5892741618796267, 2.6034104602585311, 2.6225084227333149, 2.6462141293665442, 2.6741264093287698, 2.7058027185163809, 2.740762710257818, 2.7784929681166637, 2.8184549870330544, 2.8600969216256065, 2.9028682882925159, 2.9462359628287649, 2.9896995356531297, 3.032804299982403, 3.0751506847677934, 3.1163996041409807, 3.1562738072412402, 3.1945557679470431, 3.2310829133485881, 3.2657410671872924, 3.2984569254624461, 3.3291902406143654, 3.357926216838115, 3.3846684476752245, 3.4094325792487163, 3.4322407675950113, 3.4531169175416139, 3.4720826398759361, 3.4891538376687001, 3.5043378260627822, 3.5176308981481168, 3.5290162697759895, 3.5384623670974711, 3.545921462676767, 3.5513287212375046, 3.5546017877553968, 3.5556411427985042, 3.5543315665979409, 3.5505451959066887, 3.5441468220358434, 3.535002248415906, 3.5229906644991806, 3.5080220297318743, 3.4900602815455239, 3.469152620250052, 3.4454639864371606, 3.4193139751622206, 3.391210844763497, 3.3618743817155914, 3.3322371663840666, 3.3034138146472123, 3.276631706543887, 3.2531252374168749, 3.2340071948048443, 3.2201413154437883, 3.2120441290274462, 3.209838560900482, 3.2132678079530246, 3.2217615125556103, 3.2345341068137832, 3.2506913758057672, 3.2693252967497157, 3.2895854502479707, 3.3107237331085058, 3.3321151683471646, 3.3532606247454182, 3.3737778068850401, 3.3933859741026691, 3.4118883909725275, 3.4291550747078077, 3.4451072516507621, 3.4597041272032856, 3.4729320692903394, 3.4847960281059809, 3.4953128892169474, 3.5045064234069314, 3.5124035130910611, 3.5190313749309552, 3.5244155456813502, 3.5285784448896851, 3.5315383699999994, 3.533308815477338, 3.5338980379976186, 3.5338067180027783, 3.5335326573225201, 3.5330755538713321, 3.5324349041836425, 3.5316100034422258, 3.5305999455456463, 3.5294036232420893, 3.5280197283671209, 3.5264467522321103, 3.5246829862215963, 3.5227265226698545, 3.5205752561016017, 3.5182268849364746, 3.5156789137773146, 3.5129286564203426, 3.509973239752656, 3.5068096087278589, 3.5034345326441798, 3.4998446129865894, 3.4960362931369664, 3.4920058703073833, 3.4877495101078408, 3.4832632642281713, 3.4785430917898901, 3.4735848850130533, 3.4683844999463687, 3.4629377931262111, 3.4572406651665588, 3.4512891124366787, 3.4450792881616854, 3.4386075744825435, 3.4318706672414105, 3.4248656755160116, 3.4175902382155363, 3.4100426603714267, 3.4022220721073646, 3.3941286136555737, 3.3857636501910533, 3.3771300206781896, 3.3682323253456548, 3.3590772568098508, 3.3496739802157722, 3.3400345680168528, 3.3301744951060863, 3.3201131998539477, 3.309874716090051, 3.2994883800357626, 3.2889896144610029, 3.2784207896631345, 3.2678321569531574, 3.2572828448455775, 3.2468419006901978, 3.2365893506507382, 3.2266172383321052, 3.2170305866835096, 3.2079482089499427, 3.1995032726537471, 3.1918434966616349, 3.1851308369472116, 3.1795404944043795, 3.1752590620699719, 3.1724816249359522, 3.1714076401279505, 3.1722354664060588, 3.175155487229167, 3.1803418863572785, 3.1879432897193274, 3.1980726749061033, 3.210797152715601, 3.2261284149321807, 3.2440147807168604, 3.2643358186139801, 3.286900436022747, 3.3114490943943071, 3.3376604358648643, 3.3651621381140187, 3.3935453205324047, 3.4223813928192088, 3.4512399475506301, 3.4797062046369658, 3.5073966302973991, 3.5339716452649301, 3.5591447423745013, 3.5826877738866987, 3.6044325705723419, 3.6242693648571107, 3.6421426835985518, 3.658045452670891, 3.6720120347377181, 3.6841108325070171, 3.6944369630163623, 3.7031053704462495, 3.7102446148053478, 3.7159914631434288, 3.720486323730301, 3.7238695021151367, 3.7262782184029533, 3.7278443032843556, 3.7286924818263536, 3.7289391546266257, 3.7286915921911294, 3.7280474676510558, 3.7270946632869806, 3.7259112965170802, 3.7245659202915071, 3.7231178608469797, 3.7216176624168575, 3.7201076138249269, 3.7186223360800321, 3.7171894133400327, 3.7158300521387062, 3.7145597557658152, 3.7133890023263336, 3.7123239164067776, 3.7113669255428854, 3.710517393869889, 3.7097722264773378, 3.7091264390924388, 3.7085736887731549, 3.7081067622861164, 3.7077180197561344, 3.707399791979729, 3.7071447304804321, 3.7069461099325816, 3.7067980829916629, 3.7066958878411214, 3.7066360089090731, 3.7066162912360046, 3.7066360089090757, 3.7066958878411334, 3.7067980829916491, 3.7069461099325909, 3.7071447304804388, 3.7073997919797392, 3.7077180197561335, 3.708106762286115, 3.7085736887731469, 3.7091264390924432, 3.7097722264773347, 3.7105173938699036, 3.7113669255428929, 3.7123239164067803, 3.7133890023263247, 3.7145597557658108, 3.7158300521387138, 3.717189413340042, 3.718622336080013, 3.7201076138249221, 3.7216176624168709, 3.7231178608469753, 3.7245659202915053, 3.725911296517074, 3.7270946632869748, 3.728047467651062, 3.728691592191133, 3.7289391546266173, 3.7286924818263549, 3.7278443032843396, 3.7262782184029466, 3.7238695021151336, 3.7204863237303036, 3.7159914631434141, 3.7102446148053576, 3.7031053704462757, 3.694436963016364, 3.6841108325070131, 3.672012034737727, 3.6580454526708976, 3.6421426835985384, 3.6242693648571138, 3.6044325705723335, 3.5826877738866596, 3.5591447423745413, 3.5339716452649248, 3.5073966302974391, 3.4797062046369565, 3.4512399475506319, 3.4223813928192457, 3.3935453205323927, 3.3651621381140009, 3.3376604358648518, 3.3114490943943604, 3.2869004360227536, 3.2643358186139677, 3.2440147807167983, 3.2261284149321496, 3.2107971527156032, 3.1980726749061175, 3.1879432897193309, 3.1803418863572657, 3.1751554872291767, 3.1722354664060415, 3.1714076401279554, 3.1724816249359407, 3.1752590620699732, 3.1795404944043906, 3.1851308369472138, 3.1918434966616216, 3.1995032726537489, 3.2079482089499494, 3.2170305866835078, 3.2266172383320861, 3.2365893506507191, 3.2468419006902067, 3.2572828448455868, 3.267832156953165, 3.2784207896631461, 3.2889896144610056, 3.2994883800357484, 3.3098747160900706, 3.3201131998539757, 3.3301744951060965, 3.3400345680168519, 3.349673980215762, 3.359077256809857, 3.3682323253456619, 3.3771300206782069, 3.3857636501910617, 3.3941286136555622, 3.4022220721073646, 3.4100426603714391, 3.4175902382155505, 3.4248656755159974, 3.4318706672414128, 3.4386075744825617, 3.4450792881616867, 3.4512891124366973, 3.4572406651665695, 3.4629377931262102, 3.4683844999463642, 3.4735848850130662, 3.4785430917898932, 3.4832632642281842, 3.4877495101078435, 3.4920058703073678, 3.4960362931369668, 3.4998446129865686, 3.5034345326441723, 3.5068096087278482, 3.5099732397526662, 3.5129286564203279, 3.5156789137772906, 3.5182268849364862, 3.5205752561015866, 3.522726522669855, 3.5246829862215927, 3.5264467522321046, 3.5280197283671257, 3.5294036232420964, 3.5305999455456334, 3.5316100034422413, 3.5324349041836385, 3.5330755538713237, 3.5335326573225068, 3.5338067180027828, 3.5338980379976541, 3.5338523809802096, 3.5337153953410763, 3.5334870373285461, 3.5331672340532103, 3.5327558835333481, 3.5322528547596006, 3.5316579877801639, 3.5309710938074317, 3.5301919553480392, 3.5293203263585275, 3.5283559324287515, 3.527298470995996, 3.5261476115930011, 3.5249029961337621, 3.5235642392408901, 3.5221309286196125, 3.5206026254834235, 3.5189788650373157, 3.5172591570251055, 3.515442986348511, 3.5135298137651008, 3.5115190766751594, 3.5094101900068773, 3.5072025472105257, 3.5048955213743964, 3.5024884664753886, 3.4999807187793519, 3.4973715984070601, 3.4946604110844088, 3.4918464500963178, 3.4889289984660419, 3.4859073313844244, 3.4827807189152833, 3.4795484290064427, 3.4762097308380571, 3.472763898544339, 3.4692102153468904, 3.4655479781429293, 3.4617765025950074, 3.4578951287739321, 3.4539032274118346, 3.4498002068266049, 3.4455855205867647, 3.4412586759902446, 3.4368192434393019, 3.4322668667997673, 3.427601274842266, 3.4228222938708535, 3.4179298616542093, 3.4129240427841832, 3.4078050455971307, 3.4025732408045517, 3.3972291819906726, 3.3917736281469368, 3.3862075684251627, 3.3805322493038195, 3.3747492043732383, 3.3688602869587396, 3.3628677058097947, 3.3567740640947346, 3.3505824019475279, 3.3442962428186167, 3.337919643884292, 3.3314572507655802, 3.3249143568005639, 3.3182969670969196, 3.3116118675682022, 3.3048666991196805, 3.2980700371012444, 3.2912314760766592, 3.2843617198732908, 3.2774726767651834, 3.2705775595050421, 3.2636909897500592, 3.2568291062199961, 3.2500096756766683, 3.2432522055185591, 3.2365780564380708, 3.2300105531864975, 3.22357509103314, 3.2172992349862533, 3.2112128082693281, 3.205347965919878, 3.1997392487095562, 3.1944236118930984, 3.1894404225972104, 3.1848314189982014, 3.1806406238444209, 3.1769142044161929, 3.1737002707410413, 3.1710486038769803, 3.169010306422166, 3.1676373682010333, 3.1669821414051658, 3.1670967214180252, 3.1680322321981085, 3.1698380184704678, 3.1725607510858267, 3.1762434566832147, 3.1809244881082721, 3.1866364576796404, 3.193405161059268, 3.2012485247865894, 3.2101756150291658, 3.2201857482970908, 3.231267746274407, 3.2433993761095312, 3.2565470141600401, 3.2706655651535228, 3.2856986600850306, 3.3015791452375169, 3.3182298620609489, 3.3355647040645673, 3.3534899233202085, 3.3719056466492838, 3.3907075510590805, 3.4097886403212696, 3.4290410603471475, 3.4483578904806795, 3.4676348509563355, 3.4867718731783079, 3.5056744885431192, 3.5242550024216732, 3.5424334317476283, 3.5601381965306014, 3.5773065667335056, 3.5938848756978525, 3.6098285192262063, 3.6535362632051931, 3.6907284416158128, 3.721418964115613, 3.7460039870897912, 3.7651055070880157, 3.7794459407766272, 3.7897596755188365, 3.7967378073630522, 3.8009984092381495, 3.8030743987097586, 3.8034124357862806, 3.8023780560344851, 3.8002638445819104, 3.7972986865832277, 3.7936569873856514, 3.7894673114693673, 3.7848202258150496, 3.779775321243247, 3.7743674772823157, 3.7686124689675116, 3.7625120121350357, 3.7560583232192726, 3.7492382406580029, 3.7420369245331817, 3.7344411235107775, 3.7264419764803423, 3.7180373025014872, 3.7092333279484171, 3.700045804675991, 3.690500487553702, 3.6806329630647832, 3.6704878512545536, 3.660117438604698, 3.6495798359518243, 3.6389367891541826, 3.6282512963526976, 3.6175852002341307, 3.6069969236930528, 3.5965395015277566, 3.5862590303632444, 3.5761936171579589, 3.5663728584343009, 3.5568178336558538, 3.5475415526482905, 3.5385497632021226, 3.5298420037919511, 3.5214127784932452, 3.5132527356418026, 3.5053497462015937, 3.4976897991054803, 3.4902576558240552, 3.4830372322667165, 3.4760117006217151, 3.469163325423918, 3.462473066199931, 3.4559199932367797, 3.4494805734965643, 3.4431278908465051, 3.4368308691016383, 3.4305535684298407, 3.4242546259602102, 3.4178869103855742, 3.4113974582402911, 3.4047277564191183, 3.3978144311360023, 3.3905903972662528, 3.3829865127811338, 3.3749337692432402, 3.3663660292530242, 3.3572232935225794, 3.3474554427223304, 3.3370263527126736, 3.325918229141354, 3.3141359553537812, 3.3017112075962087, 3.2887060802332675, 3.2752160023907533, 3.2613718401177687, 3.2473412888158322, 3.233329989611657, 3.2195832631655357, 3.2063899444503008, 3.1940904968010115, 3.1830923039874763, 3.1738955854672684, 3.1671332921058619, 3.1636266461553704, 3.1644528540700954, 3.171010008776967, 3.1850430037116082, 3.208563464149023, 3.2435692457464116, 3.2914844055874006, 3.3523612302208523, 3.4241317607230064, 3.5024174234480348, 3.5812847989648935, 3.6547568462470053, 3.7183094535114449, 3.7696175730259127, 3.8084070554428191, 3.8357886731715278, 3.8535325057662906, 3.8635370553281367, 3.8675364509316119, 3.8669861812733055, 3.8630515713945535, 3.8566426979368496, 3.8484630943211879, 3.8390566343000239, 3.8288467758605318, 3.8181671435826336, 3.8072843980623023, 3.796414915936591, 3.7857367761837266, 3.7753983094097534, 3.7655241904485783, 3.7562198071216644, 3.7475744374830064, 3.7396636131102032, 3.7325509296346207, 3.7262894796691617, 3.7209230206257189, 3.7164869451359421, 3.7130090907204667, 3.7105104047901158, 3.7090054685321285, 3.7085028767396184, 3.7088380009973458, 3.7098422414368475, 3.7115121767735699, 3.7138420243718131, 3.7168235210258973, 3.7204457589407172, 3.7246949794129325, 3.7295543268651583, 3.7350035655824443, 3.7410187606198715, 3.7475719227536555, 3.7546306148887307, 3.7621575138664656, 3.7701099169966259, 3.7784391767496679, 3.787090039827163, 3.79599985830595, 3.8050976309417912, 3.8143028225185169, 3.8235238993586664, 3.832656511604545, 3.8415812507716294, 3.8501609195046145, 3.8582372774655256, 3.8656272848969104, 3.872118970656155, 3.8774672266657584, 3.8813901013400511, 3.8835665529388792, 3.8836371340070888, 3.8812096680170769, 3.8758725183427036, 3.8672182691180437, 3.8548801047086285, 3.8385813529802411, 3.8181951396955083, 3.7938060562746636, 3.7657604413163508, 3.7346888506092406, 3.701486530482418, 3.6672467340258335, 3.6331555538585261, 3.6003699773320363, 3.5699066934974386, 3.5425647973565741, 3.518893451026377, 3.4992018995855747, 3.4835996528842768, 3.47205141210992, 3.4644333072467055, 3.4605815114597402, 3.4603288799383929, 3.4635286124592279, 3.4700657978100411, 3.4798584016431979, 3.4928493322885945, 3.5089911365001405, 3.5282249699203536, 3.5504559151512822, 3.5755274600716507, 3.6031987857752501, 3.6331290666498521, 3.6648728063373195, 3.6978889907592136, 3.7315645350807709, 3.7652495993762605, 3.7982996866187233, 3.8301179075448477, 3.8601909320513768, 3.8881138602087324, 3.9136018894326092, 3.9364893439408393, 3.956718637397874, 3.9743227195396713, 3.9894045730066465, 4.002116686731533, 4.0126425060851112, 4.0211809430127508, 4.0279342923369637, 4.0330994005268073, 4.0368616532866115, 4.0393912364735449, 4.0408411231107362, 4.041346298460474, 4.0410238199764361, 4.0399733973953156, 4.0382782584223209, 4.0360061324840375, 4.033210238080386, 4.0299301997486161, 4.0261928508602534, 4.022012900923996, 4.0173934631408565, 4.0123264517633528, 4.0067928711605241, 4.0007630309338209, 3.9941967352559797, 3.9870435108437983, 3.9792429572880561, 3.9707253259775537, 3.9614124588419162, 3.9512192435719338, 3.9400557639668943, 3.9278303362339915, 3.9144536151381937, 3.8998439157308948, 3.8839338131255277, 3.8666779417413339, 3.8480617101745285, 3.8281103855018435, 3.806897710096373, 3.7845529507984796, 3.7612651254396678, 3.7372831964058499, 3.7129113371568891, 3.6884989803556607, 3.664426172209188, 3.6410856210006806, 3.6188635169012309, 3.5981215094400372, 3.5791820484054186, 3.5623186567072507, 3.5477517766651467, 3.5356498511003887, 3.5261344893986593, 3.5192880672780928, 3.5151619546202726, 3.5137837119152722]]
Ek= [[0.087206284989999994, 0.087263526820000006, 0.087435223879999996, 0.087721290859999995, 0.088121585459999999, 0.088635908289999996, 0.089264002620000005, 0.090005554139999999, 0.090860190600000001, 0.091827481480000001, 0.092906937450000004, 0.094098009859999998, 0.095400090140000005, 0.096812509029999994, 0.098334535890000005, 0.099965377689999996, 0.1017041781, 0.1035500164, 0.1055019062, 0.10755879409999999, 0.1097195582, 0.1119830064, 0.114347875, 0.1168128262, 0.11937644610000001, 0.12203724270000001, 0.124793643, 0.12764399030000001, 0.13058654140000001, 0.13361946280000001, 0.13674082800000001, 0.1399486127, 0.1432406913, 0.14661483210000001, 0.1500686926, 0.15359981389999999, 0.15720561550000001, 0.16088338869999999, 0.1646302902, 0.1684433353, 0.1723193895, 0.17625516129999999, 0.1802471927, 0.18429185040000001, 0.18838531559999999, 0.1925235736, 0.19670240280000001, 0.2009173631, 0.2051637835, 0.20943675010000001, 0.21373109279999999, 0.2180413725, 0.22236186820000001, 0.22668656449999999, 0.23100914010000001, 0.23532295659999999, 0.23962105049999999, 0.24389612699999999, 0.24814055730000001, 0.2523463809, 0.25650531399999998, 0.26060876509999997, 0.26464786029999998, 0.26861347949999997, 0.27249630670000002, 0.27628689449999999, 0.27997574689999999, 0.28355341969999998, 0.2870106409, 0.29033844860000002, 0.29352834680000001, 0.29657247289999999, 0.29946377190000001, 0.3021961695, 0.30476473399999998, 0.30716581539999999, 0.30939715239999999, 0.31145793649999998, 0.31334882819999998, 0.31507192020000002, 0.31663065280000002, 0.31802968390000003, 0.31927472620000003, 0.32037236200000002, 0.32132984840000001, 0.3221549252, 0.32285563449999999, 0.32344015970000001, 0.32391668820000002, 0.32429329950000002, 0.32457787780000003, 0.3247780482, 0.32490113310000002, 0.32495412480000002, 0.32494367299999999, 0.3248760812, 0.32475731209999997, 0.3245929971, 0.32438845020000001, 0.32414868330000002, 0.32387842210000001, 0.32358212289999999, 0.32326398740000001, 0.32292797829999997, 0.32257783210000002, 0.32221707220000001, 0.32184901980000002, 0.32147680369999998, 0.32110336969999997, 0.32073148820000003, 0.32036376160000002, 0.3200026299, 0.31965037680000002, 0.31930913420000001, 0.3189808865, 0.31866747499999998, 0.31837060039999998, 0.31809182660000002, 0.31783258330000003, 0.3175941679, 0.31737774839999999, 0.3171843647, 0.31701493060000002, 0.31687023520000002, 0.31675094409999999, 0.31665760040000002, 0.31659062580000003, 0.31655032090000002, 0.31653686599999997, 0.31654656390000002, 0.31657565389999998, 0.31662412449999999, 0.31669195659999999, 0.31677912339999997, 0.31688559020000001, 0.3170113148, 0.317156247, 0.3173203288, 0.31750349410000001, 0.31770566890000002, 0.31792677089999999, 0.31816670959999999, 0.31842538609999999, 0.31870269299999998, 0.31899851400000001, 0.31931272430000002, 0.31964518990000002, 0.31999576769999999, 0.32036430510000002, 0.32075063999999998, 0.3211546005, 0.32157600469999997, 0.32201466020000002, 0.32247036420000003, 0.32294290310000001, 0.32343205219999999, 0.32393757509999999, 0.32445922399999999, 0.32499673880000002, 0.325549847, 0.32611826350000001, 0.32670168979999997, 0.32729981390000001, 0.32791230999999998, 0.32853883769999997, 0.32917904209999999, 0.32983255299999997, 0.33049898449999998, 0.33117793470000001, 0.33186898529999997, 0.33257170079999998, 0.33328562859999999, 0.33401029840000002, 0.33474522150000002, 0.33548989070000002, 0.33624378020000001, 0.33700634460000001, 0.3377770195, 0.33855522049999998, 0.3393403438, 0.3401317653, 0.34092884159999998, 0.3417309093, 0.3425372861, 0.3433472702, 0.344160142, 0.34497516389999999, 0.34579158189999998, 0.34660862660000002, 0.3474255141, 0.3482414486, 0.34905562350000002, 0.34986722380000002, 0.35067542870000001, 0.35147941430000001, 0.3522783565, 0.35307143439999999, 0.35385783380000002, 0.35463675080000001, 0.3554073962, 0.35616899899999999, 0.356920811, 0.35766211120000002, 0.35839220929999999, 0.35911045050000001, 0.35981621889999998, 0.3605089414, 0.36118809099999999, 0.36185318929999999, 0.36250380920000003, 0.36313957689999998, 0.36376017249999998, 0.36436533129999998, 0.3649548433, 0.36552855290000003, 0.3660863573, 0.36662820509999999, 0.36715409360000001, 0.3676640658, 0.36815820780000003, 0.36863664429999998, 0.36909953550000002, 0.36954707250000002, 0.36997947320000002, 0.3703969781, 0.37079984589999998, 0.37118834909999998, 0.37156276999999999, 0.37192339619999998, 0.37227051700000002, 0.37260441900000002, 0.37292538269999997, 0.37323367829999998, 0.37352956269999998, 0.373813275, 0.37408503399999998, 0.37434503390000001, 0.37459344090000002, 0.37483039010000002, 0.3750559812, 0.37527027569999999, 0.37547329289999998, 0.3756650071, 0.37584534419999999, 0.37601417990000002, 0.37617133809999997, 0.37631659099999998, 0.37644966140000002, 0.37657022670000001, 0.37667792709999998, 0.37677237629999999, 0.37685317670000001, 0.37691993750000002, 0.37697229630000001, 0.37700994059999998, 0.37703262910000002, 0.37704020929999998, 0.37703262900000001, 0.37700994030000001, 0.37697229589999998, 0.37691993699999998, 0.37685317600000001, 0.37677237559999999, 0.37667792630000002, 0.37657022579999999, 0.3764496604, 0.37631659000000001, 0.37617133699999999, 0.37601417879999999, 0.375845343, 0.37566500590000002, 0.37547329169999999, 0.37527027439999999, 0.3750559799, 0.37483038870000002, 0.37459343960000002, 0.37434503250000001, 0.37408503269999999, 0.3738132737, 0.37352956129999998, 0.37323367699999999, 0.37292538139999998, 0.37260441770000002, 0.37227051570000003, 0.37192339489999998, 0.37156276869999999, 0.37118834789999999, 0.37079984469999999, 0.37039697690000001, 0.36997947209999998, 0.36954707139999998, 0.36909953439999998, 0.36863664330000001, 0.3681582068, 0.36766406480000002, 0.36715409259999998, 0.36662820419999997, 0.36608635639999998, 0.36552855200000001, 0.36495484249999999, 0.36436533049999997, 0.36376017179999998, 0.36313957619999998, 0.36250380850000002, 0.36185318859999999, 0.36118809029999999, 0.36050894080000001, 0.35981621829999999, 0.35911044990000002, 0.3583922088, 0.35766211069999998, 0.35692081060000003, 0.3561689985, 0.35540739580000003, 0.35463675039999998, 0.35385783339999999, 0.35307143410000003, 0.35227835619999998, 0.35147941399999999, 0.35067542839999999, 0.34986722349999999, 0.3490556232, 0.34824144839999999, 0.34742551389999998, 0.3466086263, 0.34579158170000002, 0.34497516369999998, 0.34416014179999999, 0.34334726999999998, 0.34253728589999999, 0.34173090919999999, 0.34092884140000002, 0.34013176519999999, 0.33934034359999998, 0.33855522040000002, 0.33777701939999999, 0.3370063445, 0.3362437801, 0.33548989060000001, 0.33474522140000001, 0.33401029830000001, 0.33328562859999999, 0.33257170069999997, 0.33186898520000002, 0.33117793470000001, 0.33049898449999998, 0.32983255299999997, 0.32917904209999999, 0.32853883769999997, 0.32791230989999998, 0.32729981390000001, 0.32670168979999997, 0.32611826350000001, 0.325549847, 0.32499673880000002, 0.32445922399999999, 0.32393757509999999, 0.32343205209999998, 0.32294290310000001, 0.32247036420000003, 0.32201466010000002, 0.32157600460000002, 0.3211546005, 0.32075063999999998, 0.32036430510000002, 0.31999576769999999, 0.31964518990000002, 0.31931272430000002, 0.31899851400000001, 0.31870269299999998, 0.31842538609999999, 0.31816670959999999, 0.31792677089999999, 0.31770566890000002, 0.31750349410000001, 0.3173203288, 0.317156247, 0.3170113148, 0.31688559020000001, 0.31677912339999997, 0.31669195659999999, 0.31662412449999999, 0.31657565389999998, 0.31654656390000002, 0.31653686599999997, 0.31654171489999999, 0.31655625990000003, 0.31658049510000003, 0.31661441070000002, 0.3166579933, 0.31671122540000002, 0.31677408569999999, 0.31684654899999998, 0.31692858619999997, 0.31702016440000003, 0.31712124679999998, 0.31723179270000001, 0.31735175770000001, 0.31748109330000002, 0.31761974739999999, 0.31776766369999998, 0.3179247825, 0.31809103979999998, 0.31826636809999997, 0.31845069599999998, 0.31864394810000002, 0.3188460454, 0.319056905, 0.31927644020000001, 0.31950456049999998, 0.31974117169999999, 0.31998617579999999, 0.320239471, 0.3205009519, 0.3207705092, 0.32104802999999998, 0.32133339770000002, 0.32162649209999999, 0.32192718949999999, 0.32223536209999998, 0.32255087919999997, 0.32287360590000003, 0.3232034043, 0.32354013269999998, 0.32388364609999998, 0.32423379600000002, 0.32459043069999999, 0.32495339499999998, 0.32532253049999998, 0.32569767560000001, 0.32607866559999998, 0.32646533249999998, 0.32685750559999999, 0.32725501080000002, 0.32765767150000003, 0.32806530810000001, 0.32847773819999998, 0.32889477680000001, 0.32931623640000002, 0.32974192689999998, 0.33017165599999998, 0.33060522889999999, 0.33104244890000001, 0.33148311720000001, 0.33192703289999997, 0.33237399340000001, 0.33282379470000001, 0.33327623090000003, 0.33373109499999998, 0.33418817880000001, 0.33464727290000001, 0.33510816710000002, 0.33557065050000001, 0.33603451179999999, 0.33649953919999998, 0.33696552089999998, 0.33743224500000002, 0.33789950000000002, 0.33836707490000001, 0.33883475940000002, 0.33930234419999999, 0.33976962100000002, 0.34023638299999998, 0.34070242519999999, 0.34116754440000002, 0.34163153940000002, 0.34209421159999998, 0.34255536510000001, 0.3430148066, 0.34347234640000002, 0.3439277979, 0.34438097849999999, 0.3448317092, 0.34527981540000002, 0.34572512700000002, 0.34616747850000001, 0.34660670919999997, 0.34704266389999999, 0.34747519240000002, 0.34790415029999999, 0.34832939889999998, 0.34875080549999998, 0.34916824349999998, 0.3495815927, 0.3499907391, 0.35039557560000001, 0.3507960014, 0.35119192269999999, 0.35158325260000001, 0.35196991080000001, 0.35235182409999999, 0.35272892620000001, 0.3531011577, 0.35346846630000001, 0.35383080610000001, 0.35418813850000003, 0.3545404311, 0.35488765859999999, 0.35522980170000001, 0.35556684779999997, 0.35589879019999998, 0.3562256285, 0.35654736790000002, 0.3568640193, 0.35717559910000002, 0.35748212889999997, 0.35778363530000001, 0.3580801495, 0.35837170740000002, 0.35865834930000001, 0.35894011910000001, 0.359217065, 0.35948923840000002, 0.36027768659999998, 0.36102532479999999, 0.36173397270000002, 0.36240558430000003, 0.36304219809999999, 0.36364589380000001, 0.36421875469999998, 0.36476283640000001, 0.36528014209999998, 0.36577260290000002, 0.3662420629, 0.36669026900000001, 0.36711886370000002, 0.36752938140000002, 0.36792324589999997, 0.36830177019999999, 0.36866615759999999, 0.3690175027, 0.36935679329999999, 0.36968491120000002, 0.37000263329999999, 0.37031063060000002, 0.37060946589999999, 0.37089958839999998, 0.37118132440000001, 0.37145486319999999, 0.37172023370000001, 0.37197726980000001, 0.37222555670000002, 0.37246434810000001, 0.37269243600000002, 0.3729079428, 0.37310797839999998, 0.37328806219999999, 0.37344112089999998, 0.37355572539999998, 0.37361301759999999, 0.37358177570000001, 0.37341255769999998, 0.37303768990000002, 0.37238997029999998, 0.37143360069999998, 0.37016984149999999, 0.3686140899, 0.36677828019999997, 0.3646682248, 0.36228714039999999, 0.35963940439999997, 0.35673286409999999, 0.35357961840000002, 0.35019563300000001, 0.3465996744, 0.34281201659999999, 0.33885324960000002, 0.33474336129999999, 0.33050113520000002, 0.32614382689999999, 0.32168705050000002, 0.31714480389999999, 0.31252957570000001, 0.30785249269999998, 0.3031234793, 0.29835141529999998, 0.29354428100000002, 0.2887092872, 0.28385298980000001, 0.27898138729999999, 0.2741000053, 0.26921396759999999, 0.26432805679999999, 0.25944676550000001, 0.25457433930000001, 0.24971481340000001, 0.24487204339999999, 0.2400497311, 0.2352514466, 0.23048064679999999, 0.22574069099999999, 0.22103485370000001, 0.2163663357, 0.21173827319999999, 0.20715374519999999, 0.2026157794, 0.1981273573, 0.19369141810000001, 0.1893108614, 0.18498854940000001, 0.1807273083, 0.1765299293, 0.17239916850000001, 0.1683377469, 0.1643483499, 0.1604336261, 0.1565961863, 0.15283860160000001, 0.14916340210000001, 0.1455730747, 0.14207006089999999, 0.13865675499999999, 0.1353355014, 0.1321085927, 0.12897826679999999, 0.12594670490000001, 0.12301602859999999, 0.120188298, 0.1174655092, 0.1148495917, 0.11234240619999999, 0.1099457425, 0.1076613173, 0.1054907721, 0.1034356712, 0.1014974998, 0.099677662139999998, 0.097977479980000004, 0.096398190839999995, 0.094940946550000002, 0.093606811920000005, 0.092396763379999997, 0.091311687890000007, 0.090352381869999998, 0.089519550229999995, 0.088813805570000001, 0.088235667480000002, 0.087785561870000001, 0.08746382053, 0.087270680749999996, 0.087206284989999994, 0.087249216229999996, 0.087377987140000002, 0.087592529200000005, 0.087892728160000003, 0.088278423970000006, 0.088749410649999999, 0.089305436119999998, 0.089946202049999993, 0.090671363630000001, 0.091480529300000002, 0.092373260459999995, 0.093349071170000006, 0.094407427720000006, 0.095547748299999999, 0.096769402500000004, 0.098071710820000005, 0.099453944190000004, 0.1009153233, 0.1024550182, 0.10407214720000001, 0.10576577669999999, 0.10753492000000001, 0.1093785369, 0.1112955323, 0.1132847558, 0.11534500070000001, 0.11747500249999999, 0.1196734386, 0.1219389268, 0.1242700239, 0.12666522520000001, 0.12912296270000001, 0.13164160420000001, 0.13421945190000001, 0.13685474110000001, 0.13954563880000001, 0.1422902425, 0.14508657899999999, 0.1479326027, 0.15082619480000001, 0.15376516170000001, 0.15674723400000001, 0.1597700655, 0.16283123220000001, 0.16592823139999999, 0.16905848130000001, 0.17221932039999999, 0.1754080076, 0.17862172230000001, 0.18185756459999999, 0.18511255709999999, 0.1883836455, 0.19166770129999999, 0.194961524, 0.1982618448, 0.2015653305, 0.20486858860000001, 0.2081681732, 0.211460592, 0.21474231420000001, 0.21800977990000001, 0.22125940990000001, 0.22448761780000001, 0.2276908225, 0.23086546199999999, 0.23400800860000001, 0.23711498510000001, 0.24018298160000001, 0.24320867360000001, 0.24618884020000001, 0.249120383, 0.25200034449999997, 0.25482592679999999, 0.25759450950000001, 0.26030366620000001, 0.2629511799, 0.26553505710000003, 0.26805353869999998, 0.27050510989999998, 0.27288850599999998, 0.27520271629999998, 0.27744698509999999, 0.27962080859999999, 0.28172393010000002, 0.28375633150000001, 0.28571822270000002, 0.28761002790000001, 0.28943237049999998, 0.29118605609999998, 0.29287205399999999, 0.2944914783, 0.29604556770000001, 0.2975356663, 0.29896320339999999, 0.30032967490000001, 0.3016366251, 0.30288562920000001, 0.30407827790000003, 0.3052161625, 0.3063008619, 0.30733393060000003, 0.3083168892, 0.3092512147, 0.31013833400000002, 0.31097961709999999, 0.31177637279999998, 0.31252984480000001, 0.3132412088, 0.31391157159999999, 0.31454196919999999, 0.31513336759999999, 0.3156866626, 0.31620268140000002, 0.31668218390000002, 0.31712586459999997, 0.31753435489999998, 0.31790822520000001, 0.31824798780000002, 0.3185540993, 0.31882696329999999, 0.31906693289999999, 0.31927431309999998, 0.31944936330000001, 0.31959229900000002, 0.31970329400000003, 0.31978248199999998, 0.31982995720000001, 0.31984577600000003], [0.087206286450000003, 0.087263528280000002, 0.087435225340000006, 0.087721292320000005, 0.088121586929999995, 0.088635909760000006, 0.089264004090000001, 0.090005555599999995, 0.090860192069999998, 0.091827482949999997, 0.092906938920000001, 0.094098011329999995, 0.095400091610000001, 0.096812510510000005, 0.098334537360000002, 0.099965379169999993, 0.1017041796, 0.1035500179, 0.10550190769999999, 0.10755879560000001, 0.1097195596, 0.1119830079, 0.1143478765, 0.1168128277, 0.1193764476, 0.12203724420000001, 0.12479364449999999, 0.1276439918, 0.13058654289999999, 0.1336194644, 0.13674082949999999, 0.13994861419999999, 0.14324069280000001, 0.14661483359999999, 0.15006869410000001, 0.15359981549999999, 0.15720561699999999, 0.1608833902, 0.16463029179999999, 0.16844333680000001, 0.1723193911, 0.17625516290000001, 0.1802471943, 0.18429185200000001, 0.18838531720000001, 0.19252357519999999, 0.1967024044, 0.20091736469999999, 0.2051637851, 0.20943675170000001, 0.21373109439999999, 0.21804137409999999, 0.2223618698, 0.22668656619999999, 0.2310091417, 0.23532295819999999, 0.23962105210000001, 0.24389612860000001, 0.2481405589, 0.25234638259999997, 0.25650531570000001, 0.2606087668, 0.2646478619, 0.2686134812, 0.27249630829999999, 0.27628689620000002, 0.27997574850000001, 0.28355342140000001, 0.28701064250000002, 0.29033845029999999, 0.29352834849999998, 0.29657247460000002, 0.29946377359999998, 0.30219617119999997, 0.30476473570000001, 0.30716581710000002, 0.30939715410000002, 0.31145793820000001, 0.31334882990000001, 0.3150719219, 0.3166306545, 0.3180296856, 0.3192747279, 0.3203723637, 0.32132985009999998, 0.32215492690000003, 0.32285563620000002, 0.32344016139999998, 0.32391669000000001, 0.32429330119999999, 0.3245778795, 0.32477804999999998, 0.32490113479999999, 0.3249541265, 0.32494367470000002, 0.32487608289999997, 0.3247573138, 0.32459299879999998, 0.32438845189999999, 0.32414868489999998, 0.32387842379999998, 0.32358212450000001, 0.32326398909999998, 0.3229279799, 0.32257783369999998, 0.32221707389999998, 0.32184902139999999, 0.3214768053, 0.3211033713, 0.32073148979999999, 0.32036376319999998, 0.32000263150000002, 0.31965037839999999, 0.31930913570000002, 0.31898088810000003, 0.31866747649999999, 0.31837060189999999, 0.31809182819999998, 0.31783258479999998, 0.31759416950000002, 0.31737774990000001, 0.31718436620000001, 0.31701493209999998, 0.31687023669999997, 0.3167509456, 0.31665760189999997, 0.31659062729999998, 0.31655032249999998, 0.31653686749999999, 0.31654656539999998, 0.31657565539999999, 0.31662412610000001, 0.31669195820000001, 0.31677912489999999, 0.31688559170000002, 0.31701131630000001, 0.31715624850000002, 0.31732033030000001, 0.31750349560000002, 0.31770567039999997, 0.31792677250000001, 0.31816671120000001, 0.31842538770000001, 0.31870269449999999, 0.31899851559999998, 0.31931272589999998, 0.31964519149999998, 0.3199957692, 0.32036430659999998, 0.3207506416, 0.32115460210000002, 0.32157600619999999, 0.32201466169999998, 0.32247036579999999, 0.32294290469999998, 0.32343205380000001, 0.32393757670000001, 0.32445922560000001, 0.32499674039999998, 0.32554984869999998, 0.32611826510000003, 0.32670169139999999, 0.32729981549999998, 0.32791231160000001, 0.3285388394, 0.32917904380000002, 0.3298325547, 0.33049898620000001, 0.33117793639999998, 0.331868987, 0.33257170250000001, 0.33328563039999998, 0.33401030009999999, 0.3347452232, 0.33548989239999999, 0.33624378189999998, 0.33700634639999999, 0.33777702129999998, 0.33855522230000001, 0.33934034549999997, 0.34013176709999998, 0.34092884340000001, 0.34173091119999999, 0.34253728789999999, 0.34334727199999998, 0.34416014379999998, 0.34497516579999998, 0.34579158380000002, 0.34660862840000001, 0.34742551599999999, 0.34824145049999999, 0.34905562540000001, 0.34986722570000001, 0.3506754306, 0.35147941620000001, 0.3522783585, 0.35307143639999999, 0.35385783570000001, 0.35463675280000001, 0.35540739809999999, 0.35616900089999998, 0.356920813, 0.35766211310000001, 0.35839221129999999, 0.3591104524, 0.35981622079999998, 0.3605089434, 0.36118809289999998, 0.36185319119999998, 0.36250381120000003, 0.36313957879999997, 0.36376017440000002, 0.36436533319999997, 0.36495484519999999, 0.36552855470000001, 0.36608635919999999, 0.36662820699999998, 0.36715409539999999, 0.36766406759999998, 0.3681582095, 0.36863664610000002, 0.36909953719999999, 0.36954707419999999, 0.36997947489999999, 0.37039697980000003, 0.3707998475, 0.3711883507, 0.3715627715, 0.3719233978, 0.37227051849999998, 0.37260442049999998, 0.37292538419999999, 0.3732336799, 0.3735295642, 0.37381327650000001, 0.3740850355, 0.37434503540000003, 0.37459344239999998, 0.37483039150000003, 0.37505598270000001, 0.3752702772, 0.3754732945, 0.37566500870000002, 0.37584534580000001, 0.37601418149999999, 0.3761713398, 0.37631659270000001, 0.37644966320000001, 0.3765702286, 0.37667792909999998, 0.37677237829999999, 0.37685317880000002, 0.37691993979999999, 0.37697229869999999, 0.37700994310000002, 0.37703263170000001, 0.37704021199999999, 0.37703263180000002, 0.37700994329999998, 0.37697229910000002, 0.37691994029999998, 0.37685317940000002, 0.3767723791, 0.37667792989999999, 0.37657022950000002, 0.37644966419999998, 0.37631659379999999, 0.37617134089999998, 0.37601418269999998, 0.375845347, 0.37566500990000001, 0.3754732958, 0.3752702785, 0.37505598400000001, 0.37483039289999998, 0.37459344379999998, 0.37434503670000002, 0.3740850369, 0.37381327790000002, 0.37352956549999999, 0.3732336812, 0.37292538549999998, 0.37260442179999997, 0.37227051979999998, 0.37192339899999999, 0.3715627728, 0.37118835189999999, 0.37079984869999999, 0.37039698090000001, 0.36997947599999997, 0.36954707530000003, 0.36909953829999997, 0.36863664709999999, 0.36815821059999998, 0.3676640686, 0.36715409630000001, 0.3666282079, 0.36608636010000001, 0.36552855560000003, 0.364954846, 0.36436533399999999, 0.36376017519999998, 0.36313957949999998, 0.36250381189999997, 0.36185319179999997, 0.36118809349999997, 0.360508944, 0.35981622140000002, 0.359110453, 0.35839221180000003, 0.3576621136, 0.35692081349999999, 0.35616900140000002, 0.35540739850000003, 0.35463675319999999, 0.35385783609999999, 0.35307143670000002, 0.35227835880000002, 0.35147941649999997, 0.35067543089999997, 0.34986722590000002, 0.34905562559999997, 0.34824145080000002, 0.34742551620000001, 0.34660862860000002, 0.34579158399999999, 0.34497516589999999, 0.344160144, 0.3433472722, 0.342537288, 0.3417309113, 0.34092884350000002, 0.34013176719999999, 0.33934034569999999, 0.33855522240000002, 0.33777702139999999, 0.3370063465, 0.33624378199999999, 0.3354898925, 0.33474522330000001, 0.3340103002, 0.33328563039999998, 0.33257170260000002, 0.331868987, 0.33117793649999999, 0.33049898620000001, 0.3298325547, 0.32917904380000002, 0.3285388394, 0.32791231160000001, 0.32729981559999999, 0.32670169139999999, 0.32611826519999998, 0.32554984869999998, 0.32499674039999998, 0.32445922560000001, 0.32393757670000001, 0.32343205380000001, 0.32294290469999998, 0.32247036579999999, 0.32201466179999999, 0.32157600619999999, 0.32115460210000002, 0.3207506416, 0.32036430669999999, 0.31999576930000001, 0.31964519149999998, 0.31931272589999998, 0.31899851559999998, 0.31870269449999999, 0.31842538770000001, 0.31816671120000001, 0.31792677250000001, 0.31770567049999998, 0.31750349570000003, 0.31732033030000001, 0.31715624850000002, 0.31701131630000001, 0.31688559170000002, 0.31677912489999999, 0.31669195820000001, 0.31662412610000001, 0.31657565539999999, 0.31654656539999998, 0.31653686749999999, 0.31654171640000001, 0.31655626139999998, 0.31658049659999998, 0.31661441229999998, 0.31665799490000002, 0.31671122699999998, 0.3167740872, 0.31684655049999999, 0.31692858769999999, 0.31702016589999998, 0.31712124829999999, 0.31723179429999998, 0.31735175929999998, 0.31748109489999998, 0.3176197489, 0.3177676653, 0.31792478400000002, 0.31809104129999999, 0.3182663697, 0.31845069749999999, 0.31864394959999998, 0.31884604690000001, 0.31905690650000001, 0.31927644170000002, 0.3195045621, 0.31974117330000001, 0.31998617740000002, 0.32023947260000002, 0.32050095350000002, 0.32077051070000001, 0.3210480315, 0.32133339929999999, 0.32162649370000002, 0.32192719110000001, 0.3222353637, 0.32255088079999999, 0.32287360749999999, 0.32320340590000002, 0.3235401343, 0.3238836477, 0.32423379769999999, 0.32459043230000001, 0.3249533966, 0.32532253210000001, 0.32569767729999999, 0.32607866730000001, 0.32646533420000001, 0.32685750730000002, 0.3272550125, 0.3276576732, 0.32806530979999998, 0.32847773990000001, 0.32889477849999998, 0.32931623809999999, 0.32974192860000001, 0.33017165770000001, 0.33060523069999997, 0.33104245069999999, 0.33148311889999998, 0.3319270346, 0.33237399519999999, 0.33282379649999999, 0.33327623270000001, 0.33373109690000002, 0.3341881806, 0.3346472747, 0.33510816900000001, 0.3355706524, 0.33603451369999998, 0.33649954110000002, 0.33696552279999997, 0.33743224690000001, 0.33789950190000001, 0.3383670768, 0.33883476140000002, 0.33930234609999999, 0.33976962290000001, 0.34023638499999997, 0.3407024273, 0.34116754640000002, 0.34163154150000002, 0.34209421369999998, 0.34255536710000001, 0.34301480870000001, 0.34347234850000002, 0.34392780010000001, 0.3443809806, 0.34483171130000001, 0.34527981759999998, 0.34572512919999998, 0.34616748069999997, 0.3466067115, 0.34704266610000001, 0.34747519469999999, 0.34790415260000002, 0.3483294012, 0.34875080780000001, 0.34916824590000001, 0.34958159509999998, 0.34999074149999998, 0.35039557799999999, 0.35079600379999998, 0.35119192519999998, 0.35158325499999998, 0.35196991319999998, 0.35235182650000002, 0.3527289287, 0.35310116019999999, 0.35346846879999999, 0.3538308087, 0.35418814100000001, 0.35454043369999999, 0.35488766109999997, 0.35522980430000001, 0.35556685040000002, 0.35589879279999997, 0.3562256311, 0.35654737050000002, 0.356864022, 0.35717560180000002, 0.35748213159999997, 0.35778363800000001, 0.3580801522, 0.35837171020000003, 0.35865835200000001, 0.35894012190000002, 0.35921706780000001, 0.35948924119999998, 0.3602776895, 0.36102532770000001, 0.36173397559999998, 0.36240558719999999, 0.36304220110000002, 0.36364589679999998, 0.36421875770000001, 0.36476283939999998, 0.36528014520000002, 0.365772606, 0.36624206590000002, 0.36669027199999998, 0.3671188668, 0.3675293845, 0.36792324900000001, 0.36830177330000002, 0.36866616070000002, 0.36901750589999999, 0.36935679640000002, 0.3696849143, 0.37000263639999997, 0.37031063380000001, 0.37060946909999998, 0.37089959150000001, 0.3711813276, 0.37145486630000002, 0.3717202369, 0.371977273, 0.3722255599, 0.3724643513, 0.37269243930000001, 0.3729079461, 0.37310798169999998, 0.37328806549999999, 0.37344112419999997, 0.37355572869999998, 0.37361302099999999, 0.37358177920000002, 0.37341256119999999, 0.37303769349999999, 0.3723899738, 0.37143360409999998, 0.37016984479999998, 0.36861409309999998, 0.36677828330000001, 0.36466822770000001, 0.36228714319999999, 0.35963940709999997, 0.35673286669999998, 0.3535796209, 0.35019563539999998, 0.34659967670000003, 0.34281201890000002, 0.33885325179999998, 0.33474336339999999, 0.33050113720000002, 0.32614382889999999, 0.32168705240000001, 0.31714480579999998, 0.3125295776, 0.30785249460000003, 0.30312348119999999, 0.29835141720000002, 0.2935442828, 0.28870928899999998, 0.28385299159999999, 0.27898138909999998, 0.27410000699999998, 0.26921396930000002, 0.26432805850000002, 0.25944676719999998, 0.25457434099999998, 0.24971481509999999, 0.24487204509999999, 0.24004973269999999, 0.23525144819999999, 0.2304806485, 0.2257406927, 0.2210348553, 0.2163663374, 0.2117382749, 0.20715374680000001, 0.20261578099999999, 0.19812735889999999, 0.19369141970000001, 0.189310863, 0.184988551, 0.18072730989999999, 0.17652993089999999, 0.1723991701, 0.1683377485, 0.16434835149999999, 0.1604336277, 0.15659618789999999, 0.15283860320000001, 0.1491634037, 0.14557307620000001, 0.1420700624, 0.13865675650000001, 0.135335503, 0.13210859429999999, 0.12897826840000001, 0.1259467064, 0.12301603010000001, 0.12018829960000001, 0.11746551080000001, 0.1148495932, 0.11234240769999999, 0.109945744, 0.1076613188, 0.1054907736, 0.10343567269999999, 0.1014975013, 0.099677663619999995, 0.097977481460000002, 0.096398192310000005, 0.09494094803, 0.093606813390000002, 0.092396764849999993, 0.091311689360000003, 0.090352383329999994, 0.089519551690000004, 0.088813807039999998, 0.088235668939999998, 0.087785563329999997, 0.087463821989999996, 0.087270682210000006, 0.087206286450000003, 0.087249217690000005, 0.087377988599999998, 0.087592530660000001, 0.087892729619999999, 0.088278425430000002, 0.088749412109999995, 0.089305437579999994, 0.089946203520000004, 0.090671365099999998, 0.091480530769999999, 0.092373261930000006, 0.093349072640000003, 0.094407429190000003, 0.095547749769999996, 0.096769403970000001, 0.098071712300000002, 0.099453945670000002, 0.1009153248, 0.1024550197, 0.10407214870000001, 0.10576577819999999, 0.10753492150000001, 0.1093785384, 0.1112955338, 0.1132847573, 0.1153450022, 0.11747500399999999, 0.11967344019999999, 0.1219389283, 0.1242700254, 0.12666522669999999, 0.1291229642, 0.1316416057, 0.1342194535, 0.1368547426, 0.1395456403, 0.14229024409999999, 0.14508658059999999, 0.14793260429999999, 0.1508261964, 0.1537651632, 0.1567472355, 0.15977006699999999, 0.16283123369999999, 0.1659282329, 0.16905848279999999, 0.17221932200000001, 0.17540800919999999, 0.17862172379999999, 0.18185756619999999, 0.18511255870000001, 0.1883836471, 0.19166770289999999, 0.19496152559999999, 0.1982618464, 0.20156533209999999, 0.20486859020000001, 0.20816817479999999, 0.2114605936, 0.21474231590000001, 0.2180097815, 0.2212594115, 0.2244876194, 0.22769082409999999, 0.23086546359999999, 0.23400801020000001, 0.2371149867, 0.24018298320000001, 0.2432086752, 0.24618884190000001, 0.24912038459999999, 0.25200034609999999, 0.25482592850000002, 0.25759451119999999, 0.26030366780000003, 0.26295118159999997, 0.26553505869999999, 0.26805354040000001, 0.27050511160000001, 0.2728885077, 0.27520271800000001, 0.27744698680000002, 0.27962081030000002, 0.28172393179999999, 0.2837563333, 0.28571822450000001, 0.28761002959999998, 0.28943237220000001, 0.29118605780000001, 0.29287205570000002, 0.29449148000000003, 0.29604556949999999, 0.29753566799999998, 0.29896320510000002, 0.30032967669999999, 0.30163662679999997, 0.30288563099999999, 0.30407827970000001, 0.30521616429999998, 0.30630086359999997, 0.30733393240000001, 0.30831689089999997, 0.30925121649999998, 0.31013833569999999, 0.31097961880000002, 0.31177637450000001, 0.31252984649999999, 0.31324121059999999, 0.31391157330000002, 0.31454197090000002, 0.31513336930000002, 0.31568666429999998, 0.31620268309999999, 0.3166821856, 0.3171258663, 0.31753435660000001, 0.31790822680000003, 0.31824798939999999, 0.31855410099999998, 0.31882696500000002, 0.31906693460000002, 0.31927431480000001, 0.31944936499999999, 0.3195923007, 0.3197032957, 0.3197824836, 0.31982995879999998, 0.3198457777], [0.37553781279999998, 0.37553754090000002, 0.37553672739999999, 0.37553537879999999, 0.37553350610000003, 0.3755311247, 0.37552825429999998, 0.3755249189, 0.375521147, 0.37551697160000003, 0.37551242979999999, 0.37550756330000001, 0.37550241810000001, 0.37549704449999999, 0.37549149710000002, 0.37548583479999997, 0.37548012089999999, 0.37547442279999999, 0.37546881189999998, 0.37546336390000001, 0.37545815850000003, 0.37545327919999999, 0.37544881349999998, 0.37544485249999998, 0.37544149110000002, 0.37543882740000001, 0.37543696329999998, 0.37543600360000001, 0.37543605629999999, 0.37543723239999999, 0.37543964569999999, 0.37544341240000001, 0.37544865150000001, 0.37545548400000001, 0.37546403299999997, 0.3754744237, 0.37548678289999998, 0.37550123899999999, 0.37551792179999999, 0.37553696219999999, 0.37555849219999998, 0.37558264460000002, 0.37560955280000002, 0.37563935059999998, 0.3756721723, 0.37570815210000003, 0.37574742430000002, 0.37579012290000002, 0.37583638130000002, 0.3758863328, 0.37594010950000001, 0.37599784269999997, 0.37605966299999999, 0.3761256992, 0.37619607900000002, 0.37627092870000001, 0.37635037249999997, 0.37643453300000002, 0.37652353059999999, 0.37661748350000002, 0.3767165073, 0.37682071509999998, 0.37693021739999999, 0.37704512130000001, 0.37716553089999999, 0.37729154679999999, 0.37742326580000002, 0.3775607809, 0.37770418080000001, 0.37785354970000001, 0.37800896699999997, 0.3781705071, 0.37833823859999999, 0.37851222449999999, 0.37869252139999998, 0.37887917929999998, 0.37907224099999998, 0.37927174149999998, 0.37947770759999999, 0.37969015719999999, 0.37990909890000002, 0.38013453089999999, 0.38036644040000001, 0.38060480279999997, 0.38084958089999998, 0.38110072369999998, 0.3813581654, 0.38162182439999998, 0.38189160170000003, 0.38216738, 0.38244902159999999, 0.38273636750000001, 0.38302923490000002, 0.38332741580000002, 0.38363067490000002, 0.38393874709999998, 0.38425133519999999, 0.38456810740000003, 0.3848886943, 0.38521268609999998, 0.3855396291, 0.38586902220000002, 0.3862003135, 0.38653289590000001, 0.38686610329999999, 0.38719920540000002, 0.38753140349999998, 0.38786182429999999, 0.38818951439999999, 0.3885134321, 0.38883243820000002, 0.38914528170000001, 0.38945057919999998, 0.3897467771, 0.39003208480000001, 0.39030433959999999, 0.39056072539999998, 0.39079716060000003, 0.39100704650000001, 0.39117968409999998, 0.39130329689999999, 0.39137866580000003, 0.39142151219999999, 0.3914466291, 0.39146216299999997, 0.39147204800000002, 0.39147820659999999, 0.3914816015, 0.39148268819999998, 0.39148158090000001, 0.3914782235, 0.39147251020000001, 0.39146426550000002, 0.39145324679999999, 0.39143914950000003, 0.39142161600000003, 0.39140025010000001, 0.39137463719999999, 0.39134437150000001, 0.3913090857, 0.3912684817, 0.3912223554, 0.39117061250000001, 0.3911132718, 0.39105045700000002, 0.39098238060000001, 0.39090932210000001, 0.39083160690000002, 0.39074958710000002, 0.39066362519999998, 0.39057408300000002, 0.39048131349999998, 0.39038565530000002, 0.39028742970000002, 0.3901869396, 0.3900844684, 0.38998028039999999, 0.38987462150000002, 0.38976771980000002, 0.38965978639999999, 0.38955101650000001, 0.38944159010000001, 0.38933167330000001, 0.38922141850000003, 0.38911096579999999, 0.38900044340000001, 0.38888996860000002, 0.3887796483, 0.38866957940000002, 0.38855985009999999, 0.38845053959999998, 0.38834171940000001, 0.38823345320000002, 0.38812579790000001, 0.38801880360000002, 0.38791251440000002, 0.3878069683, 0.38770219810000001, 0.38759823170000002, 0.38749509209999999, 0.38739279770000001, 0.38729136320000002, 0.38719079919999999, 0.38709111280000003, 0.3869923079, 0.38689438520000002, 0.38679734259999998, 0.38670117529999998, 0.38660587610000002, 0.3865114355, 0.38641784200000001, 0.38632508209999999, 0.38623314040000001, 0.3861420002, 0.38605164310000001, 0.38596204919999999, 0.3858731976, 0.38578506639999999, 0.38569763229999998, 0.38561087129999999, 0.38552475889999999, 0.38543926940000001, 0.38535437680000001, 0.38527005469999998, 0.3851862761, 0.3851030138, 0.38502024029999998, 0.38493792809999999, 0.38485604969999998, 0.3847745776, 0.38469348450000002, 0.38461274350000002, 0.38453232809999999, 0.38445221239999999, 0.3843723711, 0.38429277979999998, 0.38421341520000002, 0.3841342552, 0.38405527900000003, 0.38397646759999998, 0.38389780400000001, 0.38381927310000002, 0.38374086270000002, 0.38366256339999999, 0.3835843692, 0.38350627780000002, 0.38342829160000003, 0.38335041790000002, 0.38327266970000001, 0.38319506689999999, 0.38311763669999999, 0.38304041509999998, 0.38296344809999999, 0.38288679260000003, 0.38281051869999999, 0.38273471110000001, 0.38265947090000002, 0.38258491820000001, 0.38251119420000002, 0.38243846390000003, 0.3823669187, 0.38229677950000002, 0.38222829879999998, 0.38216176400000001, 0.38209749850000002, 0.38203586309999998, 0.38197725589999998, 0.38192210980000002, 0.38187088819999998, 0.38182407699999998, 0.38178217380000001, 0.38174567240000001, 0.38171504519999999, 0.38169072120000003, 0.38167306480000002, 0.38166235430000001, 0.38165876430000001, 0.38166235440000001, 0.38167306519999999, 0.38169072170000001, 0.38171504579999999, 0.38174567320000002, 0.38178217469999998, 0.38182407810000002, 0.38187088940000002, 0.38192211110000002, 0.38197725729999998, 0.3820358646, 0.38209750009999999, 0.38216176569999999, 0.38222830060000001, 0.3822967813, 0.38236692059999999, 0.38243846580000002, 0.38251119620000001, 0.38258492030000002, 0.38265947300000003, 0.38273471329999997, 0.38281052090000001, 0.38288679479999999, 0.38296345030000001, 0.3830404174, 0.38311763900000001, 0.38319506920000002, 0.38327267209999999, 0.38335042019999999, 0.383428294, 0.38350628019999999, 0.38358437159999997, 0.38366256589999997, 0.38374086509999999, 0.3838192755, 0.38389780639999999, 0.38397647000000001, 0.3840552814, 0.38413425759999997, 0.3842134176, 0.38429278220000002, 0.38437237349999998, 0.38445221480000003, 0.38453233050000002, 0.3846127459, 0.38469348679999998, 0.38477457990000002, 0.384856052, 0.38493793040000002, 0.38502024260000001, 0.38510301609999997, 0.38518627840000003, 0.385270057, 0.38535437909999998, 0.38543927169999997, 0.38552476120000001, 0.38561087360000001, 0.3856976345, 0.3857850686, 0.38587319990000002, 0.38596205150000001, 0.38605164530000002, 0.38614200250000003, 0.38623314269999998, 0.38632508430000001, 0.38641784429999998, 0.38651143780000002, 0.38660587829999998, 0.38670117749999999, 0.3867973448, 0.38689438749999999, 0.38699231020000002, 0.38709111509999999, 0.38719080150000001, 0.38729136549999998, 0.38739279999999998, 0.38749509430000001, 0.38759823399999999, 0.38770220039999997, 0.38780697060000002, 0.38791251669999999, 0.38801880589999999, 0.38812580019999998, 0.38823345549999999, 0.38834172169999998, 0.3884505419, 0.38855985240000002, 0.3886695818, 0.38877965060000003, 0.388889971, 0.38900044579999998, 0.38911096810000001, 0.3892214208, 0.38933167559999998, 0.38944159239999998, 0.38955101869999997, 0.3896597886, 0.38976772199999998, 0.38987462369999998, 0.3899802825, 0.39008447039999999, 0.3901869416, 0.39028743170000002, 0.39038565710000001, 0.39048131530000002, 0.39057408469999999, 0.3906636268, 0.39074958859999998, 0.39083160830000002, 0.3909093233, 0.39098238159999998, 0.39105045789999998, 0.39111327239999999, 0.391170613, 0.39122235570000002, 0.3912684817, 0.39130908549999999, 0.39134437109999998, 0.3913746367, 0.39140024940000001, 0.39142161520000002, 0.3914391485, 0.39145324570000001, 0.39146426429999998, 0.39147250900000002, 0.3914782222, 0.39148157950000001, 0.39148268679999998, 0.39148213389999997, 0.3914804657, 0.39147765449999999, 0.39147365410000001, 0.39146840030000002, 0.39146181149999998, 0.39145378990000002, 0.39144422270000001, 0.3914329842, 0.39141993850000001, 0.39140494329999997, 0.39138785399999998, 0.39136852840000003, 0.39134683300000001, 0.39132264760000002, 0.39129587110000003, 0.39126642579999998, 0.3912342607, 0.39119935350000001, 0.3911617107, 0.39112136650000001, 0.39107838039999998, 0.39103283389999999, 0.39098482690000003, 0.39093447349999999, 0.3908818986, 0.39082723409999998, 0.3907706165, 0.39071218390000001, 0.3906520745, 0.39059042500000002, 0.39052736910000002, 0.39046303729999998, 0.39039755590000003, 0.39033104699999999, 0.39026362799999997, 0.39019541140000003, 0.39012650539999999, 0.39005701329999998, 0.3899870339, 0.3899166617, 0.38984598660000003, 0.38977509449999997, 0.3897040672, 0.38963298270000002, 0.38956191509999999, 0.38949093509999999, 0.3894201095, 0.38934950210000002, 0.38927917319999999, 0.38920918030000001, 0.3891395775, 0.38907041619999999, 0.38900174500000001, 0.38893360960000001, 0.38886605340000002, 0.38879911690000002, 0.38873283850000001, 0.38866725400000002, 0.38860239699999999, 0.38853829890000002, 0.38847498899999999, 0.38841249449999998, 0.38835084069999998, 0.3882900507, 0.38823014620000001, 0.38817114660000002, 0.3881130699, 0.38805593220000001, 0.38799974819999999, 0.38794453070000001, 0.38789029130000002, 0.38783703990000001, 0.38778478509999997, 0.38773353389999998, 0.38768329219999997, 0.38763406439999998, 0.3875858539, 0.38753866250000002, 0.3874924911, 0.38744733939999998, 0.38740320610000001, 0.38736008849999998, 0.38731798309999999, 0.3872768855, 0.38723679010000001, 0.38719769059999998, 0.38715957960000003, 0.38712244880000002, 0.38708628940000001, 0.38705109139999999, 0.38701684419999999, 0.3869835365, 0.38695115629999999, 0.38691969069999999, 0.3868891263, 0.38685944900000002, 0.38683064430000003, 0.38680269680000001, 0.38677559080000001, 0.3867493099, 0.38672383729999998, 0.38669915560000001, 0.38667524720000002, 0.38665209389999999, 0.3866296769, 0.38660797749999998, 0.38658697609999998, 0.38656665309999999, 0.38654698850000002, 0.386527962, 0.38650955310000001, 0.38649174069999997, 0.386474504, 0.38645782150000002, 0.38644167169999999, 0.38642603289999999, 0.3864108832, 0.38639620060000002, 0.38638196279999998, 0.38636814759999999, 0.38635473240000001, 0.38634169470000002, 0.38632901190000002, 0.38631666110000001, 0.3863046195, 0.38629286429999998, 0.38628137239999999, 0.38624824619999998, 0.38621665779999997, 0.38618597910000002, 0.38615557859999999, 0.38612482120000002, 0.38609306669999999, 0.38605966860000002, 0.38602397119999998, 0.38598530689999999, 0.38594299209999999, 0.38589632309999999, 0.38584457090000002, 0.385786976, 0.38572274169999998, 0.38565102779999999, 0.38557094409999998, 0.38548154270000001, 0.38538181129999999, 0.38527066669999999, 0.38514694770000002, 0.38500940989999999, 0.38485671919999997, 0.3846874461, 0.3845000596, 0.3842929189, 0.3840642648, 0.38381220830000001, 0.38353472109999998, 0.38322962929999999, 0.38289462149999998, 0.38252728530000002, 0.38212520309999998, 0.38168616129999999, 0.381208573, 0.38069230399999998, 0.38014024200000002, 0.37956116699999998, 0.37897449100000002, 0.3784159574, 0.37793758189999999, 0.37758903240000002, 0.3773870205, 0.3773103001, 0.3773236331, 0.37739680419999999, 0.37750892289999999, 0.37764648690000002, 0.3778008055, 0.37796615090000002, 0.37813860459999998, 0.37831535509999997, 0.3784942624, 0.37867357089999998, 0.37885170029999998, 0.37902706419999999, 0.37919787849999997, 0.37936191450000001, 0.3795161433, 0.37965620919999998, 0.37977572650000002, 0.3798656916, 0.37991511770000003, 0.37991466959999998, 0.37986241030000001, 0.37976559469999999, 0.37963600419999999, 0.37948463900000001, 0.37931970650000002, 0.37914682929999999, 0.37896980029999999, 0.37879122370000001, 0.37861294410000002, 0.37843631370000003, 0.37826235619999998, 0.37809186769999997, 0.37792548069999998, 0.37776370500000001, 0.37760695430000002, 0.37745556530000002, 0.37730980959999999, 0.3771699033, 0.37703601380000001, 0.37690826509999997, 0.37678674159999997, 0.376671492, 0.37656253200000001, 0.37645984690000001, 0.37636339400000002, 0.37627310479999998, 0.37618888709999998, 0.37611062670000001, 0.37603818960000002, 0.3759714234, 0.3759101594, 0.37585421419999998, 0.37580339130000001, 0.37575748260000003, 0.37571627010000003, 0.37567952760000001, 0.37564702169999997, 0.3756185138, 0.37559376090000002, 0.37557251759999999, 0.3755545367, 0.37553957100000002, 0.37552737429999999, 0.37551770249999999, 0.3755103145, 0.37550497399999999, 0.37550144959999998, 0.3754995163, 0.3754989561, 0.3754995592, 0.37550112450000001, 0.37550346029999998, 0.37550638530000002, 0.37550972900000001, 0.37551333240000001, 0.37551704850000001, 0.37552074270000002, 0.3755242936, 0.37552759299999999, 0.37553054650000001, 0.37553307349999998, 0.37553510800000001, 0.37553659830000002, 0.37553750730000002, 0.37553781279999998, 0.37553760899999999, 0.37553700179999999, 0.37553600320000002, 0.3755346329, 0.37553291919999998, 0.37553089769999998, 0.37552861240000002, 0.37552611520000001, 0.3755234657, 0.37552073159999999, 0.3755179884, 0.37551531960000001, 0.3755128163, 0.37551057739999999, 0.37550870980000001, 0.3755073276, 0.37550655290000001, 0.37550651499999999, 0.37550735079999997, 0.37550920450000003, 0.37551222719999999, 0.3755165774, 0.37552242009999998, 0.37552992709999999, 0.37553927669999998, 0.37555065310000002, 0.37556424659999998, 0.37558025280000001, 0.37559887250000001, 0.37562031130000001, 0.37564477880000002, 0.37567248809999998, 0.3757036554, 0.375738499, 0.37577723829999998, 0.37582009309999997, 0.37586728250000001, 0.37591902329999999, 0.3759755286, 0.37603700649999999, 0.37610365750000002, 0.3761756732, 0.37625323290000001, 0.3763365011, 0.37642562470000002, 0.37652072819999999, 0.37662191049999999, 0.37672923940000003, 0.37684274600000001, 0.37696241870000002, 0.37708819560000001, 0.37721995629999999, 0.37735751299999998, 0.37750059949999998, 0.37764886019999999, 0.37780183709999998, 0.37795895639999999, 0.3781195148, 0.37828266529999999, 0.37844740510000002, 0.37861256630000001, 0.37877681229999999, 0.3789386428, 0.37909641090000001, 0.3792483566, 0.37939265929999999, 0.37952750899999999, 0.37965119390000002, 0.37976219589999999, 0.3798592804, 0.3799415673, 0.38000857020000001, 0.3800601971, 0.38009671579999998, 0.38011869190000003, 0.38012691269999999, 0.38012230959999999, 0.38010588899999997, 0.38007867610000001, 0.380041674, 0.37999583679999999, 0.37994205349999999, 0.37988114119999999, 0.37981384419999997, 0.379740837, 0.37966272919999999, 0.37958007220000001, 0.379493366, 0.37940306550000003, 0.3793095876, 0.3792133164, 0.37911460889999998, 0.37901379959999998, 0.37891120480000001, 0.37880712630000002, 0.3787018546, 0.37859567170000002, 0.37848885370000002, 0.37838167280000001, 0.37827439889999998, 0.37816730160000001, 0.37806065049999998, 0.37795471730000002, 0.37784977520000002, 0.37774610050000001, 0.37764397179999998, 0.37754367059999999, 0.37744548059999999, 0.37734968749999998, 0.37725657779999999, 0.37716643849999998, 0.37707955539999999, 0.37699621179999998, 0.3769166873, 0.37684125600000001, 0.37677018470000001, 0.37670373089999998, 0.37664214109999999, 0.37658564880000001, 0.37653447249999999, 0.37648881369999998, 0.37644885519999999, 0.3764147592, 0.37638666599999998, 0.37636469239999998, 0.37634893019999999, 0.37633944619999998, 0.3763362804], [0.375537817, 0.37553754509999998, 0.3755367315, 0.375535383, 0.37553351029999998, 0.37553112890000001, 0.37552825839999998, 0.37552492300000001, 0.37552115120000001, 0.37551697569999998, 0.37551243400000001, 0.37550756749999997, 0.37550242220000002, 0.37549704859999999, 0.37549150120000002, 0.37548583889999998, 0.375480125, 0.37547442689999999, 0.37546881599999998, 0.37546336800000002, 0.37545816250000003, 0.37545328319999999, 0.37544881749999998, 0.37544485649999998, 0.37544149500000001, 0.37543883140000001, 0.37543696720000003, 0.3754360075, 0.37543606019999998, 0.37543723629999998, 0.37543964949999997, 0.3754434163, 0.37544865529999999, 0.37545548769999998, 0.3754640367, 0.37547442739999998, 0.37548678660000001, 0.37550124270000002, 0.37551792550000002, 0.37553696580000001, 0.3755584958, 0.37558264819999998, 0.37560955629999998, 0.37563935409999999, 0.37567217580000001, 0.37570815559999998, 0.37574742779999998, 0.37579012630000003, 0.37583638470000003, 0.3758863361, 0.3759401128, 0.37599784609999998, 0.37605966619999998, 0.37612570239999998, 0.37619608230000001, 0.37627093189999999, 0.37635037570000002, 0.3764345362, 0.37652353370000002, 0.37661748649999999, 0.37671651029999997, 0.37682071820000002, 0.37693022040000002, 0.37704512429999998, 0.37716553380000001, 0.37729154970000001, 0.37742326869999998, 0.37756078370000001, 0.37770418360000002, 0.37785355250000002, 0.37800896979999998, 0.3781705098, 0.37833824129999999, 0.37851222709999999, 0.37869252399999997, 0.37887918189999997, 0.37907224360000003, 0.37927174400000002, 0.37947771009999998, 0.37969015969999997, 0.3799091014, 0.38013453330000002, 0.38036644269999997, 0.3806048051, 0.38084958320000001, 0.381100726, 0.38135816769999997, 0.38162182659999999, 0.38189160389999999, 0.38216738220000002, 0.38244902380000001, 0.38273636960000001, 0.38302923690000001, 0.38332741780000001, 0.38363067690000002, 0.38393874900000002, 0.38425133709999998, 0.38456810930000002, 0.38488869619999999, 0.38521268800000003, 0.38553963089999999, 0.385869024, 0.38620031529999999, 0.38653289769999999, 0.38686610500000002, 0.3871992071, 0.38753140520000001, 0.38786182609999997, 0.38818951610000002, 0.38851343389999998, 0.38883243989999999, 0.38914528349999999, 0.38945058100000002, 0.38974677899999999, 0.39003208680000001, 0.39030434180000001, 0.39056072780000001, 0.39079716329999997, 0.39100704959999999, 0.39117968739999998, 0.39130329990000001, 0.39137866789999998, 0.39142151349999998, 0.39144662969999999, 0.3914621633, 0.39147204800000002, 0.3914782067, 0.39148160170000001, 0.3914826884, 0.39148158109999998, 0.39147822380000002, 0.39147251059999999, 0.3914642659, 0.39145324739999998, 0.39143915029999998, 0.391421617, 0.3914002513, 0.3913746387, 0.39134437319999998, 0.3913090877, 0.39126848400000003, 0.39122235799999999, 0.39117061539999998, 0.39111327489999997, 0.39105046030000001, 0.39098238410000002, 0.39090932579999998, 0.39083161080000001, 0.39074959110000002, 0.39066362929999998, 0.39057408719999998, 0.39048131780000001, 0.39038565959999999, 0.39028743420000001, 0.39018694409999999, 0.39008447289999998, 0.38998028499999998, 0.38987462610000001, 0.38976772440000002, 0.38965979109999999, 0.38955102120000001, 0.38944159480000001, 0.38933167800000001, 0.38922142320000003, 0.38911097049999999, 0.38900044820000002, 0.38888997339999998, 0.38877965310000001, 0.38866958419999997, 0.3885598549, 0.38845054439999999, 0.38834172420000002, 0.38823345809999998, 0.38812580279999997, 0.38801880849999998, 0.38791251920000003, 0.38780697310000001, 0.38770220300000002, 0.38759823659999998, 0.3874950969, 0.38739280259999997, 0.38729136809999998, 0.38719080410000001, 0.38709111769999999, 0.38699231280000002, 0.38689439009999999, 0.3867973475, 0.38670118019999999, 0.38660588099999998, 0.38651144040000002, 0.38641784689999997, 0.38632508700000001, 0.38623314539999998, 0.38614200520000003, 0.38605164800000003, 0.38596205410000001, 0.38587320260000002, 0.3857850713, 0.3856976372, 0.38561087630000002, 0.3855247638, 0.38543927430000002, 0.38535438179999998, 0.3852700597, 0.38518628110000003, 0.38510301870000002, 0.38502024530000001, 0.38493793310000002, 0.38485605470000001, 0.38477458250000002, 0.38469348949999999, 0.38461274849999999, 0.38453233310000001, 0.38445221740000002, 0.38437237600000002, 0.38429278480000001, 0.38421342019999999, 0.38413426010000001, 0.38405528389999999, 0.38397647260000001, 0.38389780890000003, 0.38381927799999999, 0.38374086759999998, 0.38366256830000001, 0.38358437410000001, 0.38350628269999998, 0.38342829649999999, 0.38335042270000003, 0.38327267450000002, 0.3831950717, 0.38311764149999999, 0.38304041989999998, 0.38296345279999999, 0.38288679730000003, 0.3828105235, 0.38273471580000001, 0.38265947560000002, 0.3825849228, 0.38251119880000001, 0.38243846840000001, 0.38236692319999999, 0.38229678389999999, 0.38222830320000001, 0.38216176829999998, 0.38209750269999998, 0.38203586719999999, 0.38197725989999998, 0.38192211370000001, 0.38187089200000002, 0.38182408070000001, 0.38178217730000003, 0.38174567590000003, 0.38171504849999999, 0.38169072440000001, 0.38167306779999999, 0.38166235710000002, 0.3816587669, 0.3816623569, 0.38167306750000002, 0.38169072389999997, 0.38171504779999998, 0.38174567510000001, 0.38178217640000001, 0.38182407959999998, 0.38187089079999997, 0.38192211240000001, 0.38197725850000003, 0.38203586569999998, 0.38209750110000001, 0.38216176660000001, 0.38222830140000003, 0.382296782, 0.3823669213, 0.38243846640000001, 0.38251119680000001, 0.38258492080000001, 0.38265947350000001, 0.3827347136, 0.38281052129999998, 0.38288679510000001, 0.38296345059999998, 0.38304041760000002, 0.38311763920000003, 0.38319506930000002, 0.3832726722, 0.38335042029999999, 0.383428294, 0.38350628019999999, 0.38358437159999997, 0.38366256589999997, 0.3837408652, 0.38381927560000001, 0.38389780649999999, 0.38397647019999998, 0.38405528150000001, 0.38413425769999998, 0.38421341780000001, 0.38429278239999998, 0.38437237369999999, 0.38445221499999999, 0.38453233069999998, 0.38461274610000001, 0.38469348710000001, 0.38477458019999999, 0.38485605229999997, 0.38493793069999999, 0.38502024289999998, 0.3851030164, 0.3851862788, 0.38527005739999998, 0.38535437950000001, 0.385439272, 0.38552476149999998, 0.38561087399999999, 0.38569763489999997, 0.38578506899999998, 0.3858732003, 0.38596205179999998, 0.3860516457, 0.3861420029, 0.38623314310000001, 0.38632508469999999, 0.3864178446, 0.38651143809999999, 0.38660587870000002, 0.38670117790000003, 0.38679734519999998, 0.38689438780000002, 0.38699231049999999, 0.38709111540000002, 0.38719080179999998, 0.38729136580000001, 0.38739280030000001, 0.38749509459999998, 0.38759823430000001, 0.3877022007, 0.38780697079999998, 0.3879125169, 0.38801880620000001, 0.38812580050000001, 0.38823345570000001, 0.38834172189999999, 0.38845054210000002, 0.38855985250000002, 0.38866958190000001, 0.38877965069999998, 0.38888997110000001, 0.38900044579999998, 0.38911096810000001, 0.3892214208, 0.38933167569999999, 0.38944159249999999, 0.38955101889999999, 0.38965978880000002, 0.3897677222, 0.389874624, 0.38998028289999997, 0.39008447089999998, 0.39018694209999999, 0.39028743220000001, 0.39038565780000001, 0.39048131600000002, 0.39057408560000001, 0.39066362770000002, 0.3907495896, 0.39083160950000001, 0.3909093246, 0.3909823831, 0.3910504595, 0.39111327420000003, 0.39117061489999999, 0.39122235770000002, 0.39126848390000002, 0.39130908780000001, 0.39134437350000001, 0.39137463919999999, 0.391400252, 0.39142161790000002, 0.39143915130000001, 0.39145324850000002, 0.39146426709999999, 0.39147251179999998, 0.39147822510000002, 0.39148158240000003, 0.3914826897, 0.39148213679999999, 0.39148046860000002, 0.39147765740000001, 0.39147365699999997, 0.39146840309999997, 0.39146181429999999, 0.39145379270000003, 0.39144422550000002, 0.3914329869, 0.39141994120000001, 0.39140494599999998, 0.39138785659999997, 0.39136853100000002, 0.39134683549999999, 0.39132264999999999, 0.39129587339999999, 0.391266428, 0.39123426280000001, 0.39119935550000001, 0.39116171259999999, 0.39112136829999999, 0.39107838210000001, 0.39103283550000001, 0.39098482849999999, 0.390934475, 0.3908819, 0.39082723539999997, 0.39077061769999999, 0.3907121851, 0.39065207559999998, 0.39059042599999999, 0.39052737009999999, 0.3904630382, 0.39039755679999999, 0.39033104790000001, 0.39026362879999998, 0.39019541219999998, 0.39012650609999999, 0.39005701399999998, 0.3899870346, 0.3899166624, 0.38984598720000002, 0.38977509510000002, 0.38970406790000001, 0.38963298340000002, 0.38956191579999999, 0.38949093569999998, 0.38942011009999999, 0.38934950270000002, 0.3892791739, 0.38920918100000002, 0.3891395782, 0.38907041689999999, 0.38900174570000001, 0.38893361040000002, 0.38886605419999998, 0.38879911769999997, 0.38873283930000002, 0.38866725479999997, 0.3886023978, 0.38853829969999998, 0.38847498990000001, 0.3884124954, 0.3883508416, 0.38829005170000003, 0.38823014709999998, 0.38817114759999999, 0.38811307090000002, 0.38805593319999998, 0.38799974920000002, 0.38794453179999999, 0.3878902924, 0.38783704099999999, 0.38778478620000001, 0.38773353510000003, 0.38768329340000002, 0.38763406560000002, 0.38758585509999999, 0.38753866370000001, 0.3874924924, 0.38744734069999998, 0.3874032074, 0.38736008979999997, 0.38731798439999998, 0.38727688690000001, 0.38723679150000001, 0.38719769199999998, 0.38715958099999997, 0.38712245029999998, 0.38708629080000001, 0.3870510929, 0.3870168457, 0.38698353810000002, 0.3869511578, 0.3869196922, 0.38688912790000002, 0.38685945059999999, 0.38683064589999999, 0.38680269849999999, 0.38677559249999999, 0.38674931159999998, 0.38672383900000001, 0.38669915739999999, 0.386675249, 0.38665209569999998, 0.38662967879999999, 0.38660797930000002, 0.38658697790000002, 0.38656665499999998, 0.38654699040000001, 0.386527964, 0.386509555, 0.38649174269999997, 0.386474506, 0.38645782350000002, 0.38644167369999999, 0.38642603489999999, 0.38641088530000001, 0.38639620270000002, 0.38638196489999999, 0.3863681497, 0.38635473460000003, 0.38634169689999998, 0.38632901409999998, 0.38631666329999997, 0.38630462170000002, 0.3862928665, 0.38628137470000001, 0.3862482485, 0.38621666020000001, 0.3861859815, 0.38615558109999998, 0.38612482370000001, 0.38609306929999998, 0.38605967120000001, 0.38602397389999998, 0.38598530959999999, 0.38594299479999999, 0.3858963259, 0.38584457379999998, 0.38578697890000002, 0.3857227446, 0.38565103080000002, 0.38557094710000001, 0.38548154569999998, 0.38538181430000001, 0.38527066970000001, 0.3851469508, 0.38500941300000002, 0.38485672230000001, 0.38468744919999998, 0.38450006269999998, 0.38429292209999999, 0.38406426789999998, 0.3838122115, 0.38353472420000001, 0.38322963240000002, 0.38289462460000001, 0.3825272884, 0.38212520620000001, 0.38168616430000002, 0.38120857600000002, 0.3806923069, 0.38014024489999998, 0.37956116979999999, 0.37897449360000002, 0.37841595989999999, 0.37793758440000003, 0.37758903490000001, 0.37738702299999999, 0.37731030259999998, 0.37732363569999999, 0.37739680679999998, 0.37750892549999998, 0.37764648960000002, 0.3778008082, 0.37796615360000002, 0.37813860719999998, 0.37831535770000002, 0.378494265, 0.37867357350000003, 0.37885170289999998, 0.37902706670000003, 0.37919788100000001, 0.37936191699999999, 0.37951614569999997, 0.37965621150000001, 0.3797757289, 0.37986569409999998, 0.37991512030000002, 0.37991467249999999, 0.3798624135, 0.37976559809999999, 0.37963600759999999, 0.37948464250000002, 0.37931970999999998, 0.3791468328, 0.3789698038, 0.37879122720000002, 0.37861294750000002, 0.37843631719999998, 0.37826235959999999, 0.37809187109999998, 0.37792548419999999, 0.37776370840000001, 0.37760695779999998, 0.37745556879999997, 0.3773098131, 0.37716990680000001, 0.37703601739999998, 0.37690826869999999, 0.3767867452, 0.37667149570000003, 0.37656253569999998, 0.37645985059999998, 0.37636339769999999, 0.37627310850000001, 0.37618889080000001, 0.37611063049999999, 0.37603819329999999, 0.37597142719999999, 0.37591016319999998, 0.37585421810000003, 0.37580339509999999, 0.37575748640000001, 0.37571627400000002, 0.3756795315, 0.37564702560000002, 0.37561851769999999, 0.37559376490000002, 0.37557252159999999, 0.37555454069999999, 0.37553957510000002, 0.3755273784, 0.37551770649999999, 0.3755103186, 0.3755049781, 0.37550145369999999, 0.37549952040000001, 0.37549896020000001, 0.37549956340000001, 0.37550112860000001, 0.37550346439999999, 0.37550638939999997, 0.37550973319999997, 0.37551333660000003, 0.37551705260000001, 0.37552074689999998, 0.37552429780000002, 0.37552759720000001, 0.37553055070000002, 0.3755330777, 0.37553511220000002, 0.37553660249999998, 0.37553751149999998, 0.375537817, 0.37553761320000001, 0.37553700600000001, 0.37553600729999997, 0.37553463710000001, 0.37553292329999999, 0.37553090189999999, 0.37552861659999998, 0.37552611930000002, 0.37552346980000001, 0.3755207357, 0.37551799260000002, 0.37551532370000001, 0.3755128204, 0.3755105816, 0.37550871390000001, 0.3755073317, 0.37550655700000002, 0.37550651909999999, 0.37550735499999999, 0.37550920859999998, 0.3755122313, 0.3755165815, 0.37552242419999998, 0.3755299312, 0.37553928079999999, 0.37555065720000003, 0.37556425059999998, 0.37558025680000001, 0.37559887650000001, 0.37562031530000001, 0.37564478280000002, 0.37567249209999998, 0.3757036594, 0.37573850289999999, 0.37577724219999997, 0.37582009709999997, 0.3758672864, 0.37591902719999998, 0.37597553249999999, 0.37603701029999997, 0.37610366140000001, 0.37617567709999999, 0.37625323669999999, 0.37633650499999999, 0.3764256285, 0.37652073200000002, 0.37662191430000003, 0.37672924320000001, 0.37684274979999999, 0.37696242250000001, 0.37708819929999998, 0.37721996000000002, 0.3773575166, 0.3775006031, 0.37764886380000001, 0.3778018407, 0.37795896010000002, 0.37811951849999997, 0.37828266890000001, 0.37844740869999999, 0.37861256989999997, 0.37877681590000001, 0.37893864640000002, 0.37909641449999998, 0.37924836020000002, 0.37939266290000001, 0.37952751260000001, 0.37965119759999999, 0.37976219960000002, 0.37985928410000003, 0.37994157109999999, 0.38000857389999998, 0.38006020080000003, 0.38009671960000002, 0.38011869570000001, 0.38012691650000002, 0.38012231340000002, 0.38010589280000001, 0.38007867989999999, 0.38004167779999998, 0.37999584060000002, 0.37994205730000002, 0.37988114499999998, 0.37981384800000001, 0.37974084079999998, 0.37966273299999997, 0.3795800761, 0.37949336979999998, 0.37940306940000001, 0.37930959139999998, 0.37921332019999998, 0.37911461270000002, 0.37901380350000002, 0.3789112087, 0.37880713020000001, 0.37870185849999999, 0.37859567560000001, 0.37848885760000001, 0.3783816767, 0.37827440289999997, 0.37816730549999999, 0.37806065449999998, 0.37795472120000001, 0.37784977920000001, 0.37774610450000001, 0.37764397579999998, 0.37754367459999999, 0.37744548459999999, 0.37734969149999997, 0.37725658179999999, 0.37716644259999998, 0.37707955939999999, 0.37699621579999998, 0.3769166914, 0.37684126010000002, 0.37677018870000001, 0.37670373489999998, 0.37664214509999999, 0.37658565290000001, 0.3765344766, 0.37648881779999999, 0.37644885929999999, 0.37641476330000001, 0.37638667009999999, 0.37636469639999998, 0.37634893429999999, 0.37633945029999999, 0.3763362844], [0.38615851709999999, 0.38615724620000003, 0.38615342609999997, 0.38614705760000001, 0.38613813800000002, 0.3861266639, 0.38611263109999999, 0.38609603469999998, 0.38607686940000002, 0.3860551297, 0.38603081030000003, 0.38600390610000002, 0.38597441290000001, 0.38594232740000001, 0.38590764779999998, 0.3858703745, 0.38583050990000001, 0.38578805960000001, 0.38574303250000003, 0.38569544150000001, 0.38564530419999998, 0.38559264339999999, 0.38553748780000002, 0.38547987299999997, 0.38541984169999999, 0.38535744519999998, 0.38529274359999999, 0.38522580699999998, 0.38515671680000002, 0.38508556589999998, 0.3850124607, 0.38493752129999997, 0.38486088369999999, 0.3847827003, 0.384703142, 0.3846223989, 0.38454068289999999, 0.38445822860000001, 0.38437529570000001, 0.38429217090000001, 0.38420917020000001, 0.38412664120000001, 0.3840449655, 0.38396456210000002, 0.38388588979999999, 0.38380945059999999, 0.38373579349999998, 0.38366551760000001, 0.38359927640000002, 0.38353778150000001, 0.38348180710000002, 0.383432194, 0.3833898536, 0.38335577199999998, 0.3833310137, 0.38331672420000001, 0.38331413199999997, 0.38332454919999998, 0.38334937009999998, 0.38339006710000001, 0.38344818359999999, 0.38352532210000001, 0.38362312790000003, 0.38374326539999998, 0.38388738729999999, 0.38405709580000003, 0.38425389269999999, 0.38447912140000001, 0.38473389749999998, 0.38501903170000001, 0.3853349459, 0.38568158720000001, 0.38605834480000001, 0.38646397649999997, 0.38689655319999999, 0.38735342960000002, 0.38783124759999998, 0.38832597930000001, 0.38883300970000001, 0.38934725879999998, 0.38986333629999997, 0.39037571799999998, 0.39080875790000003, 0.39084924920000003, 0.39088826440000002, 0.39092582190000003, 0.39096194229999998, 0.39099664830000003, 0.39102996470000001, 0.39106191800000001, 0.39109253659999998, 0.39112185030000002, 0.39114989020000002, 0.39117668919999998, 0.39120228080000002, 0.39122670009999999, 0.39124998300000002, 0.39127216650000002, 0.39129328860000001, 0.3913133882, 0.39133250559999999, 0.39135068210000001, 0.39136796099999999, 0.39138438720000002, 0.39140000870000002, 0.39141487699999999, 0.39142904890000002, 0.39144258840000001, 0.39145556999999997, 0.39146808399999999, 0.39148024390000002, 0.39149220000000001, 0.39150416059999998, 0.39151643110000001, 0.3915294855, 0.39154410740000001, 0.39156168019999998, 0.39158481119999999, 0.39161859869999999, 0.39167223449999999, 0.39175600269999999, 0.3918676706, 0.39199013329999999, 0.39210731380000002, 0.39220991150000001, 0.39229299870000001, 0.39235384670000001, 0.39239089890000001, 0.39240333550000001, 0.39240180209999997, 0.39239724710000001, 0.39238980620000002, 0.39237970430000002, 0.39236725259999999, 0.39235284310000001, 0.39233693889999999, 0.39232005889999999, 0.39230275539999998, 0.39228558679999997, 0.3922690848, 0.39225372310000001, 0.39223988990000003, 0.39222787009999999, 0.39221784079999999, 0.39220987670000002, 0.39220396569999999, 0.39220002819999999, 0.39219793759999999, 0.39219753839999999, 0.3921986609, 0.39220113210000002, 0.39220478320000002, 0.39220945439999999, 0.3922149975, 0.3922212772, 0.39222817129999998, 0.39223557060000003, 0.39224337799999998, 0.39225150800000003, 0.39225988550000002, 0.39226844500000002, 0.39227712990000002, 0.39228589120000001, 0.39229468719999999, 0.3923034822, 0.3923122463, 0.39232095430000002, 0.39232958559999997, 0.39233812309999999, 0.3923465532, 0.392354865, 0.39236305030000002, 0.39237110269999997, 0.3923790177, 0.39238679259999998, 0.39239442549999998, 0.3924019158, 0.39240926380000002, 0.3924164705, 0.39242353740000002, 0.39243046640000001, 0.39243725979999999, 0.39244392020000002, 0.39245045039999998, 0.3924568531, 0.39246313119999998, 0.39246928780000001, 0.3924753258, 0.3924812479, 0.39248705699999997, 0.39249275589999999, 0.39249834700000003, 0.39250383300000002, 0.39250921630000002, 0.39251449900000002, 0.39251968329999998, 0.39252477120000001, 0.39252976449999999, 0.39253466510000001, 0.39253947439999998, 0.39254419400000001, 0.39254882530000001, 0.39255336950000003, 0.39255782769999997, 0.392562201, 0.39256649020000001, 0.39257069620000001, 0.39257481970000002, 0.39257886130000003, 0.39258282160000002, 0.39258670099999998, 0.39259050000000001, 0.39259421880000001, 0.3925978577, 0.39260141679999999, 0.39260489640000001, 0.39260829650000001, 0.39261161709999998, 0.39261485820000003, 0.3926180198, 0.39262110169999997, 0.39262410380000001, 0.39262702589999998, 0.39262986789999998, 0.3926326296, 0.39263531060000001, 0.39263791079999999, 0.39264042980000002, 0.39264286739999998, 0.39264522330000001, 0.39264749719999997, 0.39264968859999999, 0.3926517974, 0.39265382329999998, 0.39265576569999999, 0.39265762459999998, 0.3926593994, 0.39266108999999999, 0.39266269599999998, 0.39266421699999998, 0.3926656529, 0.39266700329999998, 0.39266826789999998, 0.39266944650000002, 0.39267053889999998, 0.39267154469999999, 0.39267246389999999, 0.39267329610000001, 0.39267404119999999, 0.39267469910000002, 0.39267526949999998, 0.39267575249999997, 0.39267614769999998, 0.3926764553, 0.39267667499999998, 0.3926768068, 0.39267685079999998, 0.3926768068, 0.39267667499999998, 0.3926764553, 0.39267614779999999, 0.39267575249999997, 0.39267526959999999, 0.39267469919999998, 0.3926740413, 0.39267329620000002, 0.392672464, 0.39267154479999999, 0.39267053899999999, 0.39266944669999998, 0.3926682681, 0.39266700339999999, 0.39266565310000001, 0.3926642172, 0.39266269619999999, 0.39266109020000001, 0.39265939960000001, 0.39265762479999999, 0.39265576600000002, 0.3926538235, 0.39265179770000003, 0.39264968890000002, 0.39264749739999999, 0.39264522359999998, 0.39264286770000001, 0.39264043009999999, 0.39263791110000001, 0.39263531099999999, 0.39263262989999997, 0.39262986830000002, 0.39262702630000001, 0.39262410419999999, 0.39262110210000001, 0.39261802019999997, 0.39261485870000001, 0.39261161760000002, 0.39260829699999999, 0.3926048969, 0.39260141729999998, 0.39259785819999998, 0.39259421929999999, 0.39259050049999999, 0.39258670150000002, 0.39258282210000001, 0.39257886190000002, 0.39257482030000002, 0.39257069680000001, 0.3925664908, 0.39256220159999999, 0.39255782830000002, 0.39255337010000002, 0.39254882600000002, 0.39254419470000002, 0.39253947509999998, 0.39253466570000001, 0.39252976519999999, 0.39252477180000001, 0.39251968399999998, 0.39251449970000002, 0.39250921700000002, 0.39250383379999998, 0.39249834779999998, 0.39249275659999999, 0.39248705779999998, 0.39248124870000001, 0.39247532660000001, 0.39246928869999997, 0.3924631321, 0.39245685390000001, 0.39245045119999999, 0.39244392109999998, 0.39243726070000001, 0.39243046729999997, 0.39242353829999999, 0.39241647149999997, 0.39240926479999999, 0.39240191679999997, 0.3923944265, 0.39238679360000001, 0.39237901879999998, 0.3923711037, 0.3923630514, 0.39235486609999998, 0.39234655429999998, 0.39233812420000003, 0.39232958670000001, 0.39232095550000001, 0.39231224749999999, 0.39230348339999999, 0.39229468839999998, 0.3922858924, 0.39227713110000001, 0.39226844620000001, 0.3922598867, 0.39225150920000001, 0.39224337920000002, 0.39223557180000002, 0.39222817250000003, 0.39222127839999998, 0.39221499869999998, 0.39220945550000003, 0.3922047843, 0.39220113309999999, 0.39219866190000002, 0.39219753930000001, 0.3921979384, 0.3922000289, 0.39220396629999998, 0.39220987709999999, 0.39221784110000002, 0.3922278702, 0.39223988980000002, 0.39225372289999999, 0.39226908440000002, 0.39228558619999998, 0.39230275489999999, 0.3923200584, 0.39233693850000001, 0.39235284279999999, 0.39236725239999998, 0.3923797041, 0.39238980610000002, 0.392397247, 0.39240180200000002, 0.39240333550000001, 0.39240256779999999, 0.39240027659999999, 0.39239649659999998, 0.39239128569999998, 0.3923847244, 0.39237691479999998, 0.39236797960000003, 0.39235806070000001, 0.39234731630000003, 0.3923359186, 0.39232404949999999, 0.39231189640000003, 0.39229964639999998, 0.39228748120000001, 0.39227557089999998, 0.39226406850000001, 0.39225310540000002, 0.39224278769999998, 0.39223319410000002, 0.39222437560000001, 0.39221635640000002, 0.39220913610000002, 0.39220269320000001, 0.39219698829999999, 0.3921919686, 0.39218757069999999, 0.39218372489999997, 0.39218035740000001, 0.39217739309999999, 0.39217475740000002, 0.39217237780000003, 0.39217018460000003, 0.39216811229999998, 0.39216609940000002, 0.39216408930000002, 0.39216202989999999, 0.39215987400000002, 0.39215757880000002, 0.3921551063, 0.39215242249999999, 0.39214949729999998, 0.3921463046, 0.39214282160000002, 0.39213902849999999, 0.39213490880000001, 0.39213044819999998, 0.39212563509999998, 0.39212045969999998, 0.39211491430000001, 0.39210899300000002, 0.392102691, 0.39209600509999998, 0.39208893309999998, 0.39208147389999998, 0.3920736272, 0.3920653932, 0.39205677290000002, 0.39204776800000002, 0.39203838029999999, 0.392028612, 0.39201846579999999, 0.39200794439999997, 0.39199705080000002, 0.39198578810000001, 0.39197415940000002, 0.391962168, 0.39194981709999999, 0.39193710999999998, 0.39192405000000002, 0.39191064019999999, 0.39189688389999999, 0.39188278409999999, 0.39186834399999998, 0.39185356640000002, 0.39183845439999998, 0.39182301060000002, 0.39180723789999999, 0.3917911389, 0.39177471609999998, 0.3917579719, 0.39174090890000002, 0.39172352910000002, 0.39170583489999999, 0.39168782829999998, 0.3916695113, 0.39165088580000001, 0.39163195379999999, 0.39161271689999999, 0.3915931768, 0.39157333529999999, 0.39155319360000002, 0.3915327535, 0.39151201619999998, 0.39149098300000001, 0.39146965519999999, 0.39144803410000001, 0.3914261208, 0.39140391619999998, 0.39138142149999999, 0.39135863770000001, 0.39133556559999999, 0.3913122061, 0.39128856000000001, 0.39126462810000001, 0.39124041120000003, 0.39121590979999998, 0.39119112480000001, 0.39116605650000003, 0.39114070569999998, 0.39111507290000003, 0.39108915849999998, 0.39106296309999999, 0.39103648699999999, 0.3910097307, 0.39098269450000001, 0.39095537879999998, 0.39092778389999999, 0.39089991019999998, 0.3908717578, 0.39084332700000002, 0.39081461820000002, 0.3907856314, 0.39075636689999999, 0.390726825, 0.39069700559999998, 0.39066690910000001, 0.3906365356, 0.3906058852, 0.39051227379999998, 0.39041617519999999, 0.39031759259999999, 0.39021653039999998, 0.39011299389999998, 0.39000699080000001, 0.38989853130000002, 0.38978763, 0.38967430619999999, 0.38955858599999998, 0.38944050349999998, 0.389320102, 0.38919743629999998, 0.389072574, 0.38894559680000002, 0.38881660179999999, 0.3886857017, 0.38855302419999999, 0.3884187107, 0.3882829123, 0.38814578579999998, 0.38800748619999997, 0.38786815949999998, 0.38772793319999999, 0.38758690800000001, 0.38744514990000001, 0.38730268400000001, 0.38715949150000001, 0.38701551000000001, 0.38687063579999997, 0.38672473010000002, 0.38657762620000002, 0.3864291379, 0.38627906750000002, 0.38612721439999997, 0.38597338129999997, 0.3858173801, 0.38565903680000002, 0.38549819489999998, 0.3853347184, 0.38516849409999998, 0.38499943409999998, 0.38482747769999998, 0.3846525945, 0.38447478709999999, 0.38429409530000003, 0.38411060120000001, 0.38392443580000002, 0.38373578759999999, 0.3835449145, 0.38335215979999998, 0.38315797530000001, 0.38296295460000002, 0.38276788340000001, 0.38257381769999999, 0.38238220779999998, 0.38219509769999999, 0.38201544859999997, 0.38184764069999999, 0.3816981579, 0.38157616179999998, 0.38149284449999998, 0.38145778460000002, 0.38147319149999998, 0.3815321035, 0.38162304759999999, 0.3817353396, 0.38186109169999999, 0.38199499930000003, 0.38213358149999999, 0.38227453639999998, 0.38241630900000001, 0.38255782129999999, 0.38269830649999997, 0.38283720529999998, 0.38297410170000001, 0.38310868040000001, 0.38324069910000003, 0.38336997029999997, 0.38349634770000002, 0.3836197174, 0.38373999149999999, 0.38385710280000002, 0.38397100179999999, 0.38408165350000001, 0.3841890355, 0.38429313599999998, 0.3843939529, 0.3844914921, 0.38458576700000002, 0.38467679719999998, 0.38476460810000002, 0.38484923009999999, 0.38493069800000002, 0.38500905050000001, 0.38508432970000001, 0.3851565803, 0.38522584970000001, 0.38529218700000001, 0.38535564319999999, 0.38541627020000002, 0.38547412079999999, 0.38552924840000002, 0.38558170650000001, 0.38563154820000001, 0.38567882660000002, 0.38572359389999999, 0.38576590119999998, 0.38580579879999999, 0.38584333520000003, 0.38587855760000001, 0.38591151130000001, 0.38594223989999998, 0.38597078460000001, 0.3859971847, 0.38602147710000001, 0.38604369630000002, 0.38606387419999999, 0.38608204039999999, 0.38609822150000001, 0.38611244169999998, 0.38612472240000001, 0.38613508210000003, 0.3861435366, 0.38615009890000002, 0.386154779, 0.38615758420000001, 0.38615851709999999, 0.38615805460000002, 0.38615666329999998, 0.38615434380000002, 0.38615109479999998, 0.38614691490000003, 0.38614180199999998, 0.38613575360000002, 0.38612876689999998, 0.38612083879999998, 0.3861119656, 0.3861021436, 0.38609136840000002, 0.38607963569999998, 0.38606694089999999, 0.38605327919999999, 0.38603864589999998, 0.38602303599999999, 0.38600644490000002, 0.38598886789999998, 0.38597030069999999, 0.38595073940000002, 0.38593018039999999, 0.38590862110000002, 0.38588605929999997, 0.38586249410000001, 0.38583792550000001, 0.38581235520000001, 0.38578578619999998, 0.38575822370000001, 0.38572967470000002, 0.38570014899999999, 0.38566965939999998, 0.38563822170000001, 0.38560585559999999, 0.38557258519999998, 0.38553843939999999, 0.38550345250000001, 0.38546766529999998, 0.3854311258, 0.38539388990000001, 0.38535602289999998, 0.38531760059999998, 0.38527871089999999, 0.38523945520000002, 0.38519995080000002, 0.3851603327, 0.3851207566, 0.3850814018, 0.38504247489999999, 0.38500421379999999, 0.38496689249999999, 0.38493082690000002, 0.38489638069999998, 0.3848639734, 0.38483408790000001, 0.3848072796, 0.38478418669999997, 0.38476553949999998, 0.38475217070000001, 0.38474502329999999, 0.3847451556, 0.38475374109999999, 0.38477205930000002, 0.38480147479999999, 0.38484340020000002, 0.38489924170000001, 0.38497032460000002, 0.3850578046, 0.38516257209999999, 0.38528516299999999, 0.38542568890000001, 0.38558380190000002, 0.38575869779999999, 0.3859491571, 0.3861536149, 0.38637024580000001, 0.38659705150000001, 0.38683194259999998, 0.38707280649999998, 0.38731756220000002, 0.38756420130000002, 0.38781081750000002, 0.38805562710000002, 0.3882969838, 0.38853338720000002, 0.38876348849999998, 0.3889860939, 0.38920016499999999, 0.3893084678, 0.38935661659999998, 0.3894041473, 0.38945101989999997, 0.38949719459999999, 0.38954263119999999, 0.38958728999999997, 0.38963113110000003, 0.38967411499999999, 0.3897162025, 0.38975735459999999, 0.38979753249999999, 0.38983669830000001, 0.38987481410000002, 0.38991184290000003, 0.38994774830000001, 0.38998249439999999, 0.39001604629999997, 0.39004836990000002, 0.39007943179999999, 0.39010919989999998, 0.39013764290000003, 0.39016473070000002, 0.39019043440000001, 0.39021472639999999, 0.3902375803, 0.39025897110000002, 0.3902788754, 0.390297271, 0.39031413739999998, 0.3903294558, 0.39034320900000002, 0.39035538130000003, 0.39036595889999998, 0.39037492979999999, 0.3903822837, 0.39038801220000002, 0.39039210870000002, 0.39039456849999998, 0.39039538870000001], [0.38615851940000001, 0.3861572465, 0.38615342650000001, 0.38614705799999999, 0.3861381384, 0.38612666429999998, 0.38611263150000003, 0.38609603510000001, 0.3860768698, 0.38605513009999998, 0.3860308107, 0.38600390649999999, 0.38597441329999999, 0.38594232779999998, 0.38590764830000002, 0.38587037489999998, 0.38583051039999999, 0.3857880601, 0.38574303300000001, 0.385695442, 0.38564530470000002, 0.38559264389999998, 0.38553748830000001, 0.38547987350000001, 0.38541984229999998, 0.38535744570000002, 0.38529274409999997, 0.38522580760000003, 0.38515671740000001, 0.38508556649999998, 0.3850124613, 0.38493752190000002, 0.38486088429999998, 0.384782701, 0.38470314259999999, 0.3846223996, 0.38454068359999999, 0.38445822930000001, 0.38437529640000001, 0.38429217170000002, 0.38420917100000002, 0.38412664190000001, 0.38404496630000001, 0.38396456289999997, 0.3838858906, 0.3838094514, 0.38373579429999999, 0.38366551840000002, 0.38359927719999998, 0.38353778230000002, 0.38348180799999998, 0.38343219480000001, 0.38338985440000001, 0.3833557729, 0.38333101460000002, 0.38331672509999998, 0.38331413289999999, 0.38332455009999999, 0.38334937099999999, 0.38339006799999997, 0.3834481844, 0.38352532299999997, 0.38362312879999999, 0.38374326619999999, 0.38388738820000001, 0.38405709659999998, 0.3842538935, 0.38447912220000002, 0.38473389829999999, 0.38501903240000002, 0.38533494660000001, 0.38568158790000001, 0.38605834550000001, 0.38646397710000002, 0.38689655379999999, 0.38735343010000001, 0.38783124800000002, 0.38832597969999999, 0.38883300999999998, 0.38934725910000001, 0.38986333649999999, 0.3903757182, 0.390808761, 0.39084925240000001, 0.39088826760000001, 0.390925825, 0.39096194540000001, 0.3909966513, 0.39102996769999998, 0.39106192099999998, 0.39109253960000001, 0.39112185319999998, 0.39114989319999999, 0.3911766921, 0.39120228369999999, 0.39122670300000001, 0.39124998589999999, 0.39127216939999998, 0.39129329140000002, 0.39131339110000002, 0.3913325084, 0.39135068499999998, 0.3913679638, 0.39138439009999998, 0.39140001159999999, 0.39141487990000001, 0.39142905179999998, 0.39144259129999998, 0.39145557289999999, 0.39146808690000001, 0.391480247, 0.39149220309999999, 0.39150416380000003, 0.39151643429999999, 0.3915294889, 0.39154411099999997, 0.39156168409999997, 0.39158481540000001, 0.39161860329999998, 0.3916722393, 0.39175600719999998, 0.39186767430000002, 0.39199013620000001, 0.39210731609999999, 0.3922099134, 0.39229300030000003, 0.39235384820000002, 0.39239090040000002, 0.39240333690000001, 0.39240180349999998, 0.39239724840000001, 0.39238980750000002, 0.39237970550000001, 0.39236725360000002, 0.39235284390000003, 0.39233693959999999, 0.39232005930000002, 0.3923027556, 0.39228558689999998, 0.39226908519999998, 0.39225372380000001, 0.39223989079999999, 0.39222787129999998, 0.39221784230000001, 0.39220987839999999, 0.39220396759999998, 0.39220003019999999, 0.39219793980000001, 0.39219754080000002, 0.39219866330000003, 0.3922011346, 0.3922047857, 0.39220945699999998, 0.3922150002, 0.3922212799, 0.39222817409999999, 0.39223557339999998, 0.39224338079999999, 0.39225151079999998, 0.39225988820000002, 0.39226844770000002, 0.39227713260000002, 0.39228589390000002, 0.39229468989999999, 0.3923034849, 0.392312249, 0.39232095700000003, 0.39232958820000002, 0.39233812569999998, 0.3923465558, 0.39235486759999999, 0.3923630528, 0.39237110520000001, 0.39237902019999998, 0.39238679500000001, 0.39239442790000001, 0.39240191819999998, 0.3924092662, 0.39241647289999998, 0.39242353969999999, 0.39243046869999998, 0.39243726210000002, 0.39244392249999999, 0.3924504526, 0.39245685530000002, 0.3924631334, 0.39246929000000003, 0.3924753279, 0.39248125, 0.39248705909999998, 0.39249275789999999, 0.39249834909999998, 0.39250383509999998, 0.39250921830000002, 0.39251450100000002, 0.39251968520000002, 0.3925247731, 0.39252976639999998, 0.392534667, 0.39253947630000002, 0.3925441959, 0.39254882720000001, 0.39255337140000002, 0.39255782960000002, 0.39256220279999998, 0.39256649199999999, 0.392570698, 0.3925748215, 0.39257886310000001, 0.39258282329999999, 0.39258670270000001, 0.39259050169999998, 0.39259422049999998, 0.39259785930000002, 0.39260141850000002, 0.39260489809999999, 0.39260829809999997, 0.3926116187, 0.39261485979999999, 0.39261802130000001, 0.39262110319999999, 0.39262410530000003, 0.39262702739999999, 0.3926298694, 0.39263263110000002, 0.39263531210000002, 0.3926379123, 0.39264043129999998, 0.3926428689, 0.39264522470000002, 0.39264749859999998, 0.39264969, 0.39265179880000001, 0.39265382459999998, 0.3926557671, 0.39265762589999997, 0.3926594008, 0.39266109129999999, 0.39266269729999997, 0.39266421829999998, 0.39266565419999999, 0.39266700450000003, 0.39266826919999998, 0.39266944780000002, 0.39267054010000002, 0.39267154589999997, 0.39267246509999998, 0.3926732973, 0.39267404239999998, 0.39267470030000001, 0.39267527070000002, 0.39267575360000001, 0.39267614890000002, 0.39267645639999998, 0.39267667610000001, 0.39267680789999998, 0.39267685190000001, 0.39267680789999998, 0.39267667610000001, 0.39267645639999998, 0.39267614880000001, 0.39267575360000001, 0.39267527070000002, 0.3926747002, 0.39267404230000003, 0.39267329719999999, 0.39267246500000003, 0.39267154580000002, 0.39267054000000001, 0.3926694476, 0.39266826900000001, 0.39266700440000002, 0.39266565399999998, 0.39266421810000002, 0.39266269710000001, 0.39266109110000003, 0.39265940049999998, 0.39265762570000001, 0.39265576689999998, 0.39265382440000002, 0.39265179859999999, 0.39264968979999998, 0.39264749830000001, 0.39264522439999999, 0.39264286859999997, 0.3926404309, 0.39263791190000003, 0.39263531169999999, 0.39263263069999998, 0.39262986909999997, 0.39262702710000003, 0.39262410489999999, 0.39262110280000001, 0.39261802089999998, 0.39261485940000002, 0.39261161830000002, 0.3926082977, 0.3926048976, 0.39260141799999998, 0.39259785879999998, 0.39259421999999999, 0.3925905012, 0.39258670220000003, 0.39258282280000001, 0.39257886250000001, 0.39257482090000001, 0.3925706974, 0.39256649139999999, 0.39256220219999999, 0.39255782900000002, 0.39255337080000002, 0.39254882660000001, 0.39254419530000001, 0.39253947569999997, 0.3925346663, 0.39252976579999999, 0.3925247724, 0.39251968450000002, 0.3925145002, 0.39250921760000002, 0.39250383430000002, 0.39249834830000002, 0.39249275719999999, 0.39248705830000002, 0.39248124919999999, 0.39247532709999999, 0.39246928920000002, 0.39246313259999999, 0.3924568544, 0.39245045169999998, 0.39244392160000002, 0.3924372612, 0.39243046780000002, 0.39242353880000003, 0.39241647190000001, 0.39240926529999998, 0.39240191720000001, 0.39239442689999998, 0.39238679399999998, 0.39237901920000001, 0.39237110409999998, 0.39236305170000002, 0.39235486650000001, 0.39234655470000002, 0.3923381246, 0.39232958709999999, 0.39232095589999999, 0.39231224780000001, 0.39230348370000001, 0.3922946887, 0.39228589270000003, 0.39227713139999998, 0.39226844649999998, 0.39225988699999997, 0.39225150949999998, 0.3922433796, 0.39223557209999999, 0.39222817290000001, 0.39222127870000001, 0.39221499900000001, 0.3922094559, 0.39220478469999998, 0.39220113359999997, 0.39219866240000001, 0.3921975399, 0.392197939, 0.3922000296, 0.39220396699999999, 0.3922098779, 0.39221784199999998, 0.39222787120000002, 0.3922398909, 0.39225372400000003, 0.39226908560000001, 0.39228558749999998, 0.39230275619999999, 0.39232005980000001, 0.39233694000000002, 0.39235284419999999, 0.39236725379999998, 0.39237970560000002, 0.39238980759999997, 0.39239724850000002, 0.39240180349999998, 0.39240333700000002, 0.3924025693, 0.39240027799999999, 0.39239649799999998, 0.39239128719999999, 0.3923847258, 0.39237691619999998, 0.39236798099999998, 0.39235806200000001, 0.39234731760000002, 0.3923359199, 0.39232405079999999, 0.39231189760000001, 0.39229964750000001, 0.39228748229999999, 0.39227557190000001, 0.39226406949999998, 0.39225310629999999, 0.39224278849999999, 0.39223319490000003, 0.39222437630000001, 0.39221635700000002, 0.39220913670000002, 0.3922026938, 0.392196989, 0.3921919693, 0.39218757139999999, 0.39218372569999999, 0.39218035820000002, 0.39217739400000001, 0.39217475839999999, 0.3921723788, 0.39217018570000001, 0.39216811350000003, 0.39216610070000002, 0.39216409060000001, 0.39216203129999999, 0.39215987540000002, 0.39215758029999997, 0.39215510780000001, 0.392152424, 0.3921494989, 0.39214630630000002, 0.39214282319999999, 0.39213903030000002, 0.3921349106, 0.39213045000000002, 0.39212563690000002, 0.39212046150000002, 0.3921149162, 0.39210899490000001, 0.39210269289999999, 0.39209600709999998, 0.39208893509999998, 0.39208147599999998, 0.3920736292, 0.3920653952, 0.39205677500000002, 0.39204777010000003, 0.3920383824, 0.39202861410000001, 0.3920184679, 0.39200794659999999, 0.39199705299999998, 0.39198579030000003, 0.39197416159999998, 0.39196217020000002, 0.3919498193, 0.3919371123, 0.39192405219999998, 0.39191064250000002, 0.39189688620000002, 0.39188278640000002, 0.3918683463, 0.39185356869999999, 0.3918384567, 0.39182301289999999, 0.39180724020000002, 0.39179114120000003, 0.3917747184, 0.39175797429999998, 0.39174091119999999, 0.3917235315, 0.39170583720000002, 0.39168783060000001, 0.39166951360000002, 0.39165088819999999, 0.39163195610000001, 0.39161271930000002, 0.39159317919999997, 0.39157333760000002, 0.39155319599999999, 0.39153275589999997, 0.3915120185, 0.39149098539999999, 0.39146965760000002, 0.39144803649999999, 0.39142612310000002, 0.39140391860000001, 0.39138142390000003, 0.39135864009999999, 0.39133556800000002, 0.39131220849999998, 0.39128856239999998, 0.39126463049999999, 0.3912404136, 0.39121591220000002, 0.39119112719999999, 0.3911660589, 0.39114070820000002, 0.3911150753, 0.39108916100000002, 0.39106296550000003, 0.39103648940000002, 0.39100973309999998, 0.39098269689999998, 0.39095538120000001, 0.39092778639999998, 0.39089991260000001, 0.39087176019999997, 0.3908433295, 0.3908146206, 0.39078563379999998, 0.39075636940000003, 0.39072682739999998, 0.39069700810000002, 0.39066691149999999, 0.39063653799999998, 0.39060588759999998, 0.39051227630000002, 0.39041617760000003, 0.39031759500000002, 0.39021653280000002, 0.39011299640000002, 0.39000699319999999, 0.38989853369999999, 0.38978763239999997, 0.38967430860000002, 0.38955858840000002, 0.38944050590000001, 0.38932010439999998, 0.38919743870000001, 0.38907257639999998, 0.38894559919999999, 0.38881660420000003, 0.38868570409999997, 0.38855302660000002, 0.38841871309999998, 0.38828291469999998, 0.38814578820000001, 0.38800748860000001, 0.3878681618, 0.38772793550000001, 0.38758691039999998, 0.38744515219999998, 0.38730268629999998, 0.38715949389999998, 0.38701551229999998, 0.38687063799999999, 0.38672473229999998, 0.38657762849999999, 0.38642914010000001, 0.38627906979999999, 0.3861272167, 0.38597338349999999, 0.38581738230000001, 0.38565903899999998, 0.3854981971, 0.38533472060000001, 0.3851684963, 0.3849994363, 0.38482747989999999, 0.38465259670000002, 0.3844747892, 0.38429409739999998, 0.38411060330000002, 0.38392443790000003, 0.3837357897, 0.3835449165, 0.38335216179999998, 0.38315797730000001, 0.3829629564, 0.38276788519999999, 0.38257381940000001, 0.3823822093, 0.38219509909999999, 0.38201544970000001, 0.3818476415, 0.38169815829999998, 0.381576162, 0.3814928454, 0.38145778609999997, 0.38147319349999997, 0.38153210589999997, 0.38162305019999998, 0.3817353423, 0.3818610945, 0.38199500209999998, 0.3821335843, 0.38227453919999999, 0.38241631180000002, 0.3825578241, 0.38269830919999998, 0.38283720809999999, 0.38297410440000001, 0.38310868300000001, 0.38324070180000003, 0.38336997299999998, 0.38349635030000001, 0.38361972, 0.38373999399999997, 0.3838571053, 0.38397100429999997, 0.38408165599999999, 0.38418903789999997, 0.38429313840000001, 0.38439395529999998, 0.38449149449999998, 0.38458576929999999, 0.38467679939999999, 0.38476461029999998, 0.38484923230000001, 0.38493070019999998, 0.38500905270000002, 0.38508433180000001, 0.3851565824, 0.38522585170000001, 0.38529218910000002, 0.38535564519999999, 0.38541627220000002, 0.38547412279999999, 0.38552925030000001, 0.38558170829999999, 0.3856315501, 0.38567882850000001, 0.38572359569999998, 0.38576590300000002, 0.38580580050000002, 0.3858433369, 0.38587855929999998, 0.38591151299999998, 0.38594224150000001, 0.38597078629999998, 0.38599718640000003, 0.38602147869999998, 0.38604369789999998, 0.38606387580000001, 0.38608204190000001, 0.38609822300000002, 0.38611244319999999, 0.38612472390000002, 0.38613508359999998, 0.38614353810000002, 0.38615010039999997, 0.38615478050000002, 0.38615758569999997, 0.38615851940000001, 0.38615805710000001, 0.38615666580000002, 0.38615434630000001, 0.38615109730000002, 0.38614691740000001, 0.38614180450000002, 0.3861357561, 0.38612876940000002, 0.38612084130000002, 0.38611196819999999, 0.38610214609999999, 0.38609137090000001, 0.38607963820000002, 0.38606694339999997, 0.38605328179999998, 0.38603864840000002, 0.38602303859999998, 0.38600644750000002, 0.38598887050000003, 0.38597030329999998, 0.38595074190000001, 0.38593018299999998, 0.38590862370000001, 0.38588606190000002, 0.3858624967, 0.38583792820000001, 0.38581235790000001, 0.38578578889999998, 0.38575822630000001, 0.38572967730000002, 0.38570015169999999, 0.38566966209999998, 0.38563822440000001, 0.3856058584, 0.38557258799999999, 0.38553844209999999, 0.38550345520000001, 0.38546766809999999, 0.38543112860000001, 0.38539389270000002, 0.38535602569999999, 0.38531760339999999, 0.3852787137, 0.38523945809999999, 0.38519995359999998, 0.38516033550000001, 0.38512075940000001, 0.38508140470000002, 0.3850424778, 0.38500421670000001, 0.38496689540000001, 0.38493082979999999, 0.38489638370000001, 0.38486397639999997, 0.38483409079999997, 0.38480728260000002, 0.38478418959999999, 0.3847655425, 0.38475217369999998, 0.38474502630000001, 0.38474515860000003, 0.38475374410000002, 0.3847720623, 0.38480147780000001, 0.3848434033, 0.38489924479999998, 0.3849703276, 0.38505780760000002, 0.38516257510000002, 0.38528516600000001, 0.38542569189999998, 0.38558380489999999, 0.38575870070000001, 0.38594916000000001, 0.38615361780000002, 0.38637024860000002, 0.38659705430000002, 0.38683194539999999, 0.38707280919999998, 0.38731756490000002, 0.38756420400000002, 0.38781082010000001, 0.38805562970000002, 0.38829698639999999, 0.38853338970000001, 0.38876349100000002, 0.38898609639999998, 0.38920016740000002, 0.3893084698, 0.38935661849999997, 0.38940414919999999, 0.38945102190000003, 0.38949719649999998, 0.38954263309999998, 0.38958729190000002, 0.38963113300000002, 0.38967411699999999, 0.38971620439999999, 0.38975735649999999, 0.38979753439999998, 0.3898367002, 0.38987481600000001, 0.38991184490000003, 0.3899477502, 0.38998249639999999, 0.39001604829999997, 0.39004837180000002, 0.39007943369999998, 0.39010920180000003, 0.39013764480000002, 0.39016473260000001, 0.3901904363, 0.39021472829999998, 0.39023758219999999, 0.39025897310000002, 0.39027887729999999, 0.39029727289999999, 0.39031413939999998, 0.3903294578, 0.39034321090000001, 0.39035538320000002, 0.39036596080000002, 0.39037493169999998, 0.39038228559999999, 0.39038801410000001, 0.39039211060000001, 0.39039457039999997, 0.39039539070000001], [0.38615851969999998, 0.38615982939999999, 0.38616376499999999, 0.38617032060000001, 0.38617949039999999, 0.38619126640000001, 0.38620563819999998, 0.386222593, 0.38624211549999998, 0.38626418810000002, 0.38628879049999998, 0.38631589999999999, 0.38634549089999998, 0.38637753530000002, 0.38641200219999999, 0.38644885779999999, 0.38648806559999999, 0.3865295862, 0.3865733771, 0.38661939319999999, 0.38666758610000002, 0.3867179047, 0.38677029480000003, 0.38682469940000003, 0.38688105839999998, 0.38693930920000003, 0.38699938610000001, 0.38706122079999999, 0.38712474260000002, 0.38718987799999999, 0.38725655120000002, 0.38732468419999999, 0.38739419670000003, 0.38746500649999999, 0.38753702960000003, 0.3876101804, 0.38768437160000002, 0.38775951460000002, 0.38783551999999999, 0.38791229719999998, 0.38798975479999998, 0.38806780120000001, 0.3881463443, 0.38822529189999999, 0.38830455190000002, 0.38838403269999999, 0.38846364300000003, 0.38854329250000003, 0.38862289169999997, 0.3887023523, 0.38878158740000002, 0.38886051170000002, 0.38893904159999998, 0.38901709550000002, 0.38909459390000001, 0.38917145959999999, 0.3892476178, 0.38932299650000002, 0.38939752620000001, 0.38947114059999999, 0.38954377610000002, 0.38961537260000001, 0.38968587290000001, 0.38975522340000002, 0.38982337369999998, 0.38989027700000001, 0.38995589000000003, 0.39002017290000002, 0.3900830898, 0.390144608, 0.39020469870000002, 0.39026333670000002, 0.39032050029999998, 0.39037617149999998, 0.39043033560000001, 0.3904829816, 0.39053410189999999, 0.39058369189999997, 0.3906317507, 0.39067828020000001, 0.39072328550000002, 0.39076677440000002, 0.3908789332, 0.39136774629999999, 0.39183732380000003, 0.39228337229999999, 0.39270224250000002, 0.3930909957, 0.39344743209999999, 0.39377008569999999, 0.39405818929999997, 0.39431161809999998, 0.39453081740000001, 0.39471672140000003, 0.39487066850000002, 0.39499431829999998, 0.39508957230000002, 0.39515850289999999, 0.39520328910000002, 0.39522616249999998, 0.39522936130000003, 0.39521509339999999, 0.39518550689999998, 0.39514266780000001, 0.39508854380000002, 0.39502499299999999, 0.39495375739999999, 0.39487645929999998, 0.39479460090000001, 0.39470956600000001, 0.39462262310000001, 0.39453493000000001, 0.39444753910000002, 0.39436140320000002, 0.39427738130000001, 0.39419624510000001, 0.39411868459999999, 0.39404531409999999, 0.39397667800000002, 0.39391325560000001, 0.39385546599999999, 0.39380367259999999, 0.3937581866, 0.39371927109999999, 0.3936871435, 0.39366197829999999, 0.39364390910000002, 0.39363303020000001, 0.39362939769999999, 0.39363026159999998, 0.3936328583, 0.39363720149999998, 0.3936433144, 0.39365122829999999, 0.39366098230000002, 0.39367262269999997, 0.39368620240000002, 0.39370177989999999, 0.39371941929999998, 0.39373918959999998, 0.3937611647, 0.39378542259999999, 0.39381204600000003, 0.39384112129999999, 0.39387273900000003, 0.39390699299999998, 0.393943981, 0.39398380360000002, 0.39402656470000003, 0.39407237070000001, 0.39412133049999998, 0.39417355520000003, 0.39422915819999998, 0.39428825449999999, 0.39435096120000002, 0.39441739689999999, 0.39448768220000002, 0.39456193940000001, 0.39464029309999998, 0.39472287, 0.39480979939999999, 0.39490121340000001, 0.39499724749999998, 0.39509804100000001, 0.395203737, 0.39531448340000003, 0.39543043329999999, 0.39555174510000002, 0.39567858340000001, 0.39581111920000001, 0.39594953040000003, 0.39609400220000002, 0.39624472770000002, 0.39640190780000001, 0.39656575189999999, 0.396736478, 0.3969143128, 0.39709949189999999, 0.39729225979999999, 0.39749287010000001, 0.39770158500000002, 0.39791867520000002, 0.39814441960000002, 0.39837910459999998, 0.39862302379999998, 0.3988764769, 0.39913976849999999, 0.39941320749999998, 0.399697105, 0.3999917731, 0.40029752289999998, 0.40061466210000002, 0.40094349280000002, 0.40128430879999999, 0.40163739250000002, 0.40200301170000002, 0.40238141589999998, 0.40277283310000001, 0.40317746500000001, 0.40359548369999998, 0.40402702689999997, 0.40447219369999998, 0.40493104019999998, 0.4054035755, 0.40588975719999998, 0.40638948759999999, 0.40690261020000001, 0.40742890609999999, 0.40796809179999999, 0.4085198162, 0.40908365940000002, 0.4096591316, 0.41024567249999999, 0.41084265170000001, 0.4114493696, 0.4120650589, 0.41268888710000001, 0.41331995900000001, 0.4139573198, 0.4145999594, 0.41524681610000003, 0.4158967811, 0.41654870290000001, 0.4172013926, 0.41785362799999998, 0.41850415889999998, 0.41915171200000001, 0.41979499510000001, 0.42043270220000001, 0.42106351739999998, 0.42168611960000002, 0.42229918649999998, 0.4229013982, 0.42349144150000001, 0.42406801300000002, 0.42462982290000001, 0.42517559840000002, 0.42570408700000001, 0.4262140599, 0.42670431559999999, 0.42717368300000003, 0.4276210252, 0.42804524329999999, 0.4284452802, 0.42882012419999999, 0.42916881369999998, 0.42949044130000003, 0.42978415809999998, 0.43004917850000002, 0.4302847843, 0.43049032929999997, 0.43066524350000002, 0.43080903720000002, 0.43092130410000001, 0.43100172510000001, 0.43105007020000002, 0.4310662006, 0.43105007010000002, 0.43100172489999999, 0.4309213039, 0.4308090369, 0.43066524319999999, 0.4304903289, 0.43028478380000001, 0.43004917799999998, 0.42978415749999999, 0.42949044060000002, 0.42916881299999998, 0.42882012339999998, 0.42844527939999999, 0.42804524249999998, 0.42762102429999999, 0.427173682, 0.42670431460000002, 0.42621405890000003, 0.42570408599999998, 0.42517559739999999, 0.42462982199999999, 0.4240680121, 0.42349144059999999, 0.42290139729999998, 0.42229918560000002, 0.4216861187, 0.42106351650000001, 0.42043270129999999, 0.4197949943, 0.41915171109999999, 0.41850415810000002, 0.41785362710000001, 0.41720139169999998, 0.4165487021, 0.41589678019999998, 0.41524681520000001, 0.41459995849999998, 0.41395731889999998, 0.41331995799999999, 0.41268888619999999, 0.41206505799999998, 0.41144936859999998, 0.41084265069999998, 0.41024567150000002, 0.40965913050000002, 0.40908365829999999, 0.40851981510000002, 0.40796809070000001, 0.40742890500000001, 0.40690260900000003, 0.4063894864, 0.40588975599999999, 0.40540357430000001, 0.40493103889999998, 0.40447219239999999, 0.40402702559999998, 0.40359548239999998, 0.40317746360000001, 0.4027728317, 0.40238141449999998, 0.40200301020000001, 0.40163739100000001, 0.40128430729999998, 0.4009434912, 0.4006146605, 0.40029752120000001, 0.39999177139999997, 0.39969710330000002, 0.3994132057, 0.39913976670000001, 0.39887647510000002, 0.39862302199999999, 0.39837910269999999, 0.39814441769999998, 0.39791867330000003, 0.39770158309999998, 0.39749286820000002, 0.39729225779999999, 0.39709948979999998, 0.39691431069999999, 0.3967364759, 0.39656574979999998, 0.3964019057, 0.39624472560000001, 0.39609400010000001, 0.39594952820000001, 0.3958111171, 0.3956785813, 0.39555174300000001, 0.3954304313, 0.39531448139999997, 0.395203735, 0.39509803900000001, 0.39499724559999999, 0.39490121150000002, 0.3948097975, 0.39472286820000002, 0.39464029140000001, 0.39456193769999998, 0.39448768049999999, 0.39441739520000002, 0.3943509596, 0.39428825290000002, 0.39422915660000002, 0.39417355370000001, 0.39412132900000002, 0.39407236919999999, 0.39402656330000002, 0.39398380230000002, 0.39394397959999999, 0.39390699169999999, 0.39387273769999998, 0.3938411201, 0.39381204479999998, 0.3937854214, 0.39376116350000001, 0.3937391885, 0.3937194181, 0.39370177880000001, 0.39368620129999998, 0.3936726217, 0.39366098119999998, 0.39365122720000001, 0.39364331339999997, 0.39363720050000001, 0.39363285720000002, 0.3936302606, 0.39362939670000002, 0.39362982860000001, 0.39363112589999999, 0.39363329349999998, 0.39363633920000002, 0.39364027410000002, 0.39364511260000001, 0.39365087180000002, 0.39365757239999999, 0.39366523790000002, 0.39367389460000002, 0.39368357230000001, 0.39369430309999998, 0.39370612230000002, 0.39371906769999998, 0.3937331798, 0.39374850150000001, 0.3937650781, 0.39378295670000002, 0.39380218690000002, 0.39382281949999998, 0.39384490719999998, 0.3938685039, 0.39389366440000001, 0.39392044440000001, 0.39394890030000002, 0.39397908850000002, 0.3940110657, 0.39404488840000002, 0.39408061239999997, 0.39411829349999999, 0.39415798619999998, 0.3941997445, 0.3942436211, 0.39428966789999997, 0.39433793560000002, 0.39438847370000002, 0.39444133069999998, 0.39449655379999998, 0.39455418949999999, 0.39461428329999998, 0.39467687959999997, 0.39474202250000001, 0.39480975530000001, 0.39488012080000001, 0.39495316180000001, 0.39502892070000001, 0.39510743980000002, 0.3951887617, 0.39527292920000001, 0.39535998519999999, 0.39544997329999998, 0.39554293750000002, 0.39563892239999998, 0.39573797329999999, 0.39584013620000003, 0.39594545799999997, 0.39605398629999999, 0.3961657696, 0.39628085709999999, 0.39639929899999998, 0.39652114640000002, 0.39664645100000001, 0.39677526540000002, 0.39690764290000002, 0.39704363770000001, 0.39718330419999998, 0.39732669770000001, 0.3974738739, 0.39762488880000002, 0.39777979879999997, 0.39793866049999999, 0.39810153030000001, 0.3982684648, 0.39843952049999998, 0.3986147532, 0.39879421860000003, 0.39897797149999997, 0.39916606599999999, 0.39935855529999997, 0.39955549150000003, 0.39975692509999999, 0.39996290550000002, 0.40017348009999998, 0.40038869449999998, 0.40060859230000001, 0.4008332147, 0.40106260049999998, 0.4012967858, 0.40153580370000003, 0.4017796844, 0.40202845459999997, 0.40228213769999999, 0.40254075340000001, 0.40280431750000001, 0.40307284160000001, 0.40334633330000003, 0.4036247959, 0.40390822780000002, 0.4041966233, 0.40448997129999997, 0.40478825619999997, 0.40509145740000002, 0.40539954880000001, 0.40571249970000001, 0.40603027380000001, 0.40635282960000002, 0.4066801203, 0.4070120941, 0.40734869359999998, 0.40768985629999999, 0.40803551440000002, 0.40838559520000001, 0.40874002079999999, 0.40909870840000001, 0.40946157020000001, 0.40982851399999998, 0.41019944270000003, 0.41057425510000001, 0.4109528455, 0.41133510410000002, 0.41172091750000001, 0.41211016830000002, 0.4125027356, 0.4128984953, 0.41329732019999998, 0.41369908010000001, 0.4141036421, 0.414510871, 0.41574717319999999, 0.41700241329999999, 0.41827266140000002, 0.41955391790000002, 0.42084215489999999, 0.42213335219999998, 0.42342352690000001, 0.42470875590000001, 0.4259851918, 0.4272490712, 0.42849671550000001, 0.42972452389999999, 0.43092895850000001, 0.43210651830000002, 0.43325370410000003, 0.43436696860000001, 0.4354426515, 0.43647689439999998, 0.4374655294, 0.43840393620000001, 0.43928685610000001, 0.44010815120000002, 0.4408604941, 0.44153497050000001, 0.44212057999999999, 0.44260362860000002, 0.4429670403, 0.44318967790000002, 0.44324589269999998, 0.44310571370000001, 0.44273629240000001, 0.4421052197, 0.4411857964, 0.43996312659999998, 0.43843871350000002, 0.43663140859999999, 0.43457446309999997, 0.43231046449999999, 0.42988641430000002, 0.42735022490000002, 0.42474873740000002, 0.42212673709999998, 0.41952635230000002, 0.41698638630000001, 0.41454137460000001, 0.41222039869999999, 0.41004589470000002, 0.40803280260000002, 0.40618836670000003, 0.40451271370000003, 0.4030000956, 0.40164050600000001, 0.40042133639999999, 0.39932881590000002, 0.39834910350000002, 0.39746901629999998, 0.39667644860000001, 0.3959605578, 0.3953117967, 0.39472185250000003, 0.39418353810000001, 0.39369066409999998, 0.39323790879999998, 0.39282069660000002, 0.39243508830000001, 0.39207768529999998, 0.3917455473, 0.39143612259999999, 0.3911471889, 0.3908768044, 0.39062326559999999, 0.39038507360000002, 0.39016090419999999, 0.38994958410000002, 0.38975007, 0.38956143160000001, 0.38938283680000002, 0.38921353930000002, 0.389052868, 0.38890021790000001, 0.38875504239999997, 0.38861684670000002, 0.38848518180000002, 0.38835963969999998, 0.38823984900000003, 0.38812547120000002, 0.38801619700000001, 0.38791174410000001, 0.38781185400000001, 0.38771629000000002, 0.38762483530000003, 0.38753729129999998, 0.38745347549999998, 0.38737322089999998, 0.38729637420000002, 0.38722279469999998, 0.38715235349999999, 0.38708493259999999, 0.38702042390000002, 0.38695872850000002, 0.38689975580000002, 0.38684342350000001, 0.3867896562, 0.38673838560000001, 0.38668954950000001, 0.38664309130000002, 0.3865989601, 0.38655710980000002, 0.38651749870000002, 0.38648008969999997, 0.3864448492, 0.38641174740000001, 0.38638075760000001, 0.38635185620000001, 0.3863250225, 0.3863002378, 0.38627748629999997, 0.38625675370000001, 0.3862380279, 0.38622129840000002, 0.3862065563, 0.38619379390000003, 0.38618300500000002, 0.38617418440000001, 0.38616732799999998, 0.38616243280000001, 0.38615949649999998, 0.38615851969999998, 0.38615901139999997, 0.38616049050000001, 0.38616295560000002, 0.38616640619999998, 0.38617084200000001, 0.38617626230000002, 0.38618266649999999, 0.38619005369999998, 0.3861984229, 0.38620777299999998, 0.38621810249999999, 0.38622941, 0.38624169380000001, 0.38625495199999998, 0.38626918249999997, 0.3862843829, 0.38630055079999998, 0.38631768319999998, 0.3863357771, 0.38635482920000003, 0.38637483569999997, 0.38639579280000003, 0.38641769609999999, 0.38644054100000003, 0.38646432250000001, 0.3864890352, 0.38651467350000002, 0.38654123109999999, 0.38656870160000001, 0.38659707780000002, 0.38662635229999998, 0.3866565173, 0.38668756430000001, 0.38671948439999998, 0.38675226829999998, 0.38678590600000001, 0.3868203872, 0.38685570070000003, 0.38689183519999998, 0.38692877840000001, 0.38696651780000002, 0.38700503990000001, 0.38704433110000003, 0.38708437680000002, 0.38712516190000001, 0.3871666708, 0.38720888710000001, 0.38725179389999997, 0.38729537359999999, 0.38733960789999999, 0.38738447799999998, 0.38742996439999999, 0.38747604679999997, 0.38752270449999998, 0.3875699158, 0.38761765869999998, 0.38766591030000003, 0.38771464709999998, 0.387763845, 0.38781347910000002, 0.38786352400000002, 0.38791395350000002, 0.38796474079999999, 0.38801585859999999, 0.38806727860000001, 0.38811897220000002, 0.38817090999999998, 0.3882230619, 0.3882753974, 0.38832788530000001, 0.38838049349999998, 0.38843318980000002, 0.38848594110000001, 0.38853871369999998, 0.38859147350000001, 0.38864418589999999, 0.38869681550000001, 0.38874932670000001, 0.38880168310000002, 0.38885384820000002, 0.38890578479999999, 0.38895745529999998, 0.38900882170000001, 0.38905984580000003, 0.38911048879999999, 0.38916071190000001, 0.38921047580000001, 0.38925974099999999, 0.38940481809999999, 0.38959932110000001, 0.38978309039999998, 0.38995568460000002, 0.39011679869999999, 0.39026625599999998, 0.39040399980000001, 0.39053008439999998, 0.390644665, 0.3907479875, 0.39084037900000002, 0.3909222363, 0.39099401709999998, 0.39105622890000002, 0.39110942050000003, 0.39115417279999998, 0.39119108990000001, 0.39122079209999999, 0.39124390799999997, 0.39126106840000002, 0.39127290050000002, 0.39128002210000001, 0.39128303720000002, 0.39128253229999999, 0.39127907220000002, 0.39127319710000003, 0.3912654203, 0.39125622560000001, 0.39124606579999999, 0.3912353609, 0.39122449710000001, 0.39121382560000001, 0.39120366210000002, 0.391194286, 0.39118594029999998, 0.39117883060000003, 0.39117312580000002, 0.39116895699999998, 0.39116641819999998, 0.3911655657], [0.386158522, 0.3861598342, 0.38616376990000001, 0.38617032550000002, 0.38617949530000001, 0.38619127130000003, 0.3862056431, 0.38622259780000001, 0.38624212029999999, 0.38626419290000003, 0.38628879529999999, 0.3863159048, 0.38634549569999999, 0.38637754010000003, 0.38641200689999999, 0.38644886249999999, 0.38648807029999999, 0.3865295909, 0.38657338190000001, 0.38661939789999999, 0.38666759090000002, 0.3867179094, 0.38677029950000003, 0.38682470400000002, 0.38688106309999998, 0.38693931380000002, 0.3869993907, 0.38706122539999999, 0.38712474720000001, 0.38718988259999998, 0.38725655580000001, 0.38732468869999997, 0.38739420120000001, 0.38746501100000003, 0.38753703410000001, 0.38761018479999998, 0.387684376, 0.387759519, 0.38783552440000002, 0.3879123015, 0.3879897591, 0.38806780549999997, 0.38814634860000002, 0.38822529610000001, 0.38830455609999998, 0.38838403690000001, 0.38846364719999998, 0.38854329659999998, 0.38862289579999998, 0.3887023564, 0.38878159150000002, 0.38886051579999997, 0.38893904569999999, 0.38901709950000002, 0.38909459790000001, 0.38917146349999998, 0.38924762169999999, 0.3893230003, 0.38939752999999999, 0.38947114440000002, 0.3895437799, 0.38961537639999999, 0.38968587669999999, 0.38975522709999999, 0.3898233774, 0.38989028060000003, 0.38995589359999999, 0.39002017649999998, 0.39008309330000002, 0.39014461150000002, 0.39020470219999998, 0.39026334019999998, 0.3903205038, 0.39037617489999998, 0.39043033900000002, 0.390482985, 0.39053410519999998, 0.39058369520000003, 0.390631754, 0.3906782835, 0.3907232887, 0.3907667776, 0.3908789332, 0.39136774629999999, 0.39183732389999998, 0.3922833724, 0.39270224269999998, 0.39309099590000002, 0.39344743240000002, 0.39377008600000002, 0.39405818970000001, 0.39431161850000002, 0.3945308179, 0.39471672200000002, 0.39487066910000002, 0.39499431889999997, 0.39508957300000003, 0.39515850359999999, 0.39520328980000002, 0.39522616329999999, 0.39522936209999998, 0.39521509420000001, 0.39518550769999999, 0.39514266869999998, 0.39508854469999999, 0.39502499390000001, 0.39495375830000001, 0.3948764602, 0.39479460189999999, 0.39470956689999998, 0.39462262399999998, 0.39453493090000002, 0.39444753999999999, 0.39436140409999998, 0.39427738229999998, 0.39419624599999997, 0.39411868550000001, 0.39404531500000001, 0.393976679, 0.39391325659999998, 0.39385546700000001, 0.39380367350000001, 0.39375818759999998, 0.39371927200000001, 0.39368714440000002, 0.39366197920000001, 0.39364390999999999, 0.39363303109999997, 0.39362939860000001, 0.3936302626, 0.39363285920000002, 0.39363720250000001, 0.39364331540000003, 0.39365122920000001, 0.39366098319999998, 0.3936726237, 0.39368620329999998, 0.39370178080000001, 0.3937194202, 0.3937391905, 0.39376116560000002, 0.39378542360000002, 0.39381204689999999, 0.3938411222, 0.39387273989999999, 0.3939069939, 0.39394398180000001, 0.39398380449999998, 0.39402656559999999, 0.39407237150000002, 0.39412133119999998, 0.39417355599999998, 0.39422915889999999, 0.39428825519999999, 0.39435096190000002, 0.39441739749999999, 0.39448768280000002, 0.39456194, 0.39464029369999998, 0.39472287049999999, 0.39480979980000003, 0.39490121379999998, 0.39499724790000001, 0.39509804129999998, 0.39520373730000002, 0.3953144837, 0.39543043350000001, 0.39555174529999998, 0.39567858350000001, 0.39581111930000001, 0.39594953040000003, 0.39609400220000002, 0.39624472770000002, 0.39640190790000002, 0.3965657521, 0.39673647820000002, 0.39691431300000002, 0.39709949210000001, 0.39729226010000002, 0.39749287049999998, 0.3977015854, 0.39791867559999999, 0.39814442, 0.39837910510000002, 0.39862302440000003, 0.39887647739999998, 0.39913976909999999, 0.39941320809999997, 0.3996971057, 0.39999177380000001, 0.40029752359999998, 0.40061466289999997, 0.40094349359999998, 0.40128430970000001, 0.40163739339999999, 0.40200301259999999, 0.40238141690000001, 0.40277283400000002, 0.40317746599999998, 0.40359548470000001, 0.4040270279, 0.40447219470000001, 0.40493104130000002, 0.40540357659999998, 0.40588975830000001, 0.40638948870000002, 0.40690261129999999, 0.40742890720000002, 0.40796809290000002, 0.40851981729999998, 0.4090836605, 0.40965913269999998, 0.41024567360000003, 0.41084265269999998, 0.41144937059999998, 0.41206505999999998, 0.41268888819999999, 0.41331995999999999, 0.41395732079999997, 0.41459996040000002, 0.4152468171, 0.41589678200000002, 0.41654870379999998, 0.41720139340000001, 0.41785362879999999, 0.41850415969999999, 0.41915171270000001, 0.41979499580000001, 0.4204327028, 0.42106351800000003, 0.42168612010000001, 0.42229918700000002, 0.42290139869999999, 0.42349144189999999, 0.4240680134, 0.42462982319999998, 0.42517559859999998, 0.42570408710000002, 0.42621406000000001, 0.42670431559999999, 0.42717368300000003, 0.42762102530000001, 0.42804524350000001, 0.42844528040000002, 0.4288201244, 0.42916881400000001, 0.4294904417, 0.42978415860000002, 0.43004917910000001, 0.43028478489999999, 0.43049032999999998, 0.43066524430000003, 0.43080903799999998, 0.43092130499999998, 0.43100172609999998, 0.4310500712, 0.43106620169999998, 0.4310500713, 0.43100172619999999, 0.43092130519999999, 0.4308090383, 0.4306652446, 0.43049033040000001, 0.43028478539999998, 0.4300491796, 0.42978415920000002, 0.4294904423, 0.42916881470000001, 0.42882012520000001, 0.42844528120000003, 0.42804524430000002, 0.42762102619999998, 0.42717368389999999, 0.42670431660000002, 0.42621406099999998, 0.42570408809999999, 0.42517559960000001, 0.4246298241, 0.42406801430000002, 0.42349144280000001, 0.42290139960000001, 0.42229918789999998, 0.42168612100000002, 0.42106351879999998, 0.42043270370000002, 0.41979499669999998, 0.41915171359999998, 0.41850416060000001, 0.4178536296, 0.41720139429999997, 0.41654870469999999, 0.41589678289999998, 0.41524681800000002, 0.41459996129999999, 0.41395732169999999, 0.41331996090000001, 0.41268888910000001, 0.4120650609, 0.4114493716, 0.4108426537, 0.4102456746, 0.40965913370000001, 0.40908366149999997, 0.4085198183, 0.407968094, 0.40742890840000001, 0.40690261239999997, 0.40638948990000001, 0.4058897595, 0.40540357780000003, 0.4049310425, 0.40447219600000001, 0.40402702930000001, 0.40359548610000001, 0.40317746739999999, 0.40277283549999998, 0.40238141830000002, 0.4020030141, 0.4016373949, 0.40128431120000002, 0.4009434952, 0.4006146645, 0.40029752530000001, 0.39999177549999998, 0.39969710739999997, 0.39941320990000001, 0.39913977090000002, 0.39887647929999998, 0.39862302620000001, 0.39837910700000001, 0.39814442189999999, 0.39791867749999998, 0.3977015874, 0.39749287249999998, 0.39729226210000002, 0.39709949420000001, 0.39691431510000003, 0.39673648030000003, 0.39656575420000001, 0.39640191000000002, 0.39624472989999998, 0.39609400439999998, 0.39594953249999998, 0.39581112140000002, 0.39567858560000002, 0.39555174729999998, 0.39543043550000001, 0.3953144857, 0.39520373920000001, 0.39509804320000003, 0.39499724980000001, 0.39490121569999997, 0.39480980170000002, 0.39472287230000003, 0.39464029540000001, 0.39456194169999997, 0.39448768449999999, 0.39441739920000002, 0.39435096349999998, 0.39428825680000001, 0.39422916050000001, 0.39417355749999999, 0.39412133269999999, 0.39407237290000002, 0.39402656699999999, 0.39398380589999998, 0.39394398320000001, 0.3939069952, 0.39387274109999998, 0.3938411235, 0.39381204819999999, 0.39378542480000001, 0.39376116680000001, 0.39373919169999999, 0.39371942129999998, 0.39370178189999999, 0.39368620440000002, 0.39367262469999997, 0.39366098430000002, 0.39365123029999999, 0.3936433164, 0.39363720349999998, 0.39363286019999999, 0.39363026359999997, 0.39362939959999999, 0.39362983150000003, 0.39363112890000002, 0.3936332964, 0.39363634209999998, 0.39364027709999999, 0.39364511549999998, 0.39365087479999999, 0.39365757540000001, 0.39366524079999998, 0.39367389759999999, 0.39368357520000002, 0.3936943061, 0.39370612529999999, 0.39371907070000001, 0.39373318280000003, 0.39374850449999999, 0.39376508100000002, 0.39378295969999999, 0.39380218979999998, 0.3938228225, 0.39384491020000001, 0.39386850680000002, 0.39389366730000003, 0.39392044739999998, 0.39394890319999998, 0.39397909149999999, 0.39401106870000002, 0.39404489129999998, 0.39408061529999999, 0.39411829640000001, 0.39415798909999999, 0.39419974730000001, 0.39424362400000001, 0.39428967079999999, 0.39433793849999998, 0.39438847659999998, 0.39444133349999999, 0.39449655659999999, 0.3945541923, 0.39461428599999998, 0.39467688239999998, 0.39474202520000001, 0.39480975800000001, 0.39488012350000001, 0.39495316450000001, 0.39502892340000001, 0.39510744250000002, 0.3951887644, 0.3952729318, 0.39535998779999998, 0.39544997589999997, 0.39554294000000001, 0.39563892490000002, 0.39573797579999997, 0.39584013870000001, 0.39594546050000001, 0.39605398879999998, 0.39616577200000003, 0.39628085950000003, 0.39639930140000001, 0.3965211488, 0.39664645329999998, 0.39677526769999999, 0.39690764519999999, 0.39704363990000002, 0.39718330639999999, 0.39732669990000002, 0.39747387610000001, 0.39762489099999998, 0.39777980089999998, 0.39793866249999998, 0.39810153230000001, 0.39826846690000001, 0.39843952249999998, 0.3986147552, 0.39879422050000002, 0.39897797330000001, 0.39916606789999998, 0.39935855720000002, 0.39955549330000001, 0.39975692689999998, 0.3999629072, 0.40017348180000001, 0.4003886962, 0.40060859389999998, 0.40083321630000002, 0.4010626021, 0.40129678730000001, 0.40153580519999998, 0.40177968580000001, 0.40202845599999998, 0.40228213909999999, 0.40254075480000001, 0.40280431880000001, 0.40307284290000001, 0.40334633460000002, 0.40362479709999999, 0.40390822900000001, 0.40419662439999998, 0.40448997240000001, 0.40478825730000001, 0.40509145839999999, 0.40539954979999998, 0.40571250069999998, 0.40603027470000003, 0.40635283039999998, 0.40668012120000002, 0.40701209490000001, 0.40734869439999999, 0.40768985699999999, 0.40803551519999998, 0.40838559590000001, 0.40874002149999999, 0.409098709, 0.40946157080000001, 0.40982851450000002, 0.41019944320000001, 0.41057425559999999, 0.41095284589999997, 0.4113351046, 0.41172091789999998, 0.4121101687, 0.41250273599999998, 0.41289849560000003, 0.41329732050000001, 0.41369908030000002, 0.41410364230000002, 0.41451087120000002, 0.4157471734, 0.4170024135, 0.41827266159999998, 0.41955391819999999, 0.42084215520000001, 0.4221333525, 0.42342352719999998, 0.42470875629999999, 0.42598519229999998, 0.42724907169999998, 0.428496716, 0.42972452449999998, 0.430928959, 0.43210651890000001, 0.43325370470000002, 0.43436696920000001, 0.4354426522, 0.43647689499999998, 0.43746552999999999, 0.43840393690000001, 0.43928685680000001, 0.44010815190000002, 0.44086049469999999, 0.44153497120000001, 0.44212058069999999, 0.44260362930000002, 0.44296704100000001, 0.44318967860000003, 0.44324589339999998, 0.44310571450000003, 0.44273629320000002, 0.44210522060000002, 0.44118579740000002, 0.43996312770000001, 0.4384387146, 0.43663140989999999, 0.43457446440000003, 0.432310466, 0.42988641589999999, 0.42735022649999999, 0.42474873899999999, 0.42212673880000001, 0.41952635420000001, 0.41698638830000001, 0.41454137670000002, 0.41222040090000001, 0.41004589699999999, 0.408032805, 0.4061883691, 0.40451271620000001, 0.40300009819999999, 0.4016405086, 0.4004213391, 0.39932881869999998, 0.39834910620000002, 0.39746901899999998, 0.39667645130000001, 0.3959605605, 0.3953117994, 0.39472185520000003, 0.39418354080000001, 0.39369066670000002, 0.39323791139999997, 0.39282069920000001, 0.3924350908, 0.39207768780000002, 0.39174554979999998, 0.39143612509999998, 0.39114719139999998, 0.39087680679999998, 0.39062326809999998, 0.39038507610000001, 0.39016090669999998, 0.3899495865, 0.38975007249999999, 0.38956143409999999, 0.38938283930000001, 0.38921354180000001, 0.38905287049999998, 0.3889002204, 0.38875504490000001, 0.3886168492, 0.38848518430000001, 0.38835964229999997, 0.38823985160000002, 0.38812547380000001, 0.38801619970000001, 0.38791174680000001, 0.38781185670000001, 0.38771629279999997, 0.38762483809999998, 0.38753729409999998, 0.38745347829999999, 0.3873732238, 0.38729637709999998, 0.3872227976, 0.38715235650000002, 0.38708493560000001, 0.38702042689999999, 0.38695873149999999, 0.38689975879999999, 0.38684342649999998, 0.38678965929999998, 0.38673838869999999, 0.38668955259999999, 0.38664309450000001, 0.38659896329999999, 0.38655711300000001, 0.3865175019, 0.38648009290000002, 0.38644485239999998, 0.38641175059999999, 0.3863807608, 0.38635185950000001, 0.38632502569999999, 0.3863002411, 0.38627748960000002, 0.38625675700000001, 0.3862380312, 0.38622130180000003, 0.3862065596, 0.38619379720000002, 0.38618300830000002, 0.3861741877, 0.38616733139999998, 0.38616243610000001, 0.38615949979999997, 0.386158522, 0.38615901390000001, 0.38616049299999999, 0.38616295810000001, 0.38616640870000002, 0.3861708445, 0.3861762648, 0.38618266899999998, 0.38619005620000002, 0.38619842539999999, 0.38620777540000001, 0.38621810499999998, 0.38622941249999998, 0.38624169629999999, 0.38625495450000003, 0.38626918490000001, 0.38628438539999999, 0.38630055320000001, 0.38631768560000002, 0.38633577959999998, 0.3863548316, 0.38637483810000001, 0.3863957952, 0.38641769850000002, 0.3864405434, 0.38646432489999999, 0.38648903759999997, 0.38651467589999999, 0.38654123350000003, 0.38656870389999998, 0.38659708009999999, 0.38662635470000001, 0.38665651960000003, 0.38668756659999998, 0.3867194867, 0.3867522706, 0.38678590839999999, 0.38682038949999997, 0.386855703, 0.3868918375, 0.38692878069999997, 0.38696651999999998, 0.38700504219999998, 0.38704433329999999, 0.38708437899999998, 0.38712516409999997, 0.38716667300000002, 0.38720888930000003, 0.38725179609999999, 0.38729537580000001, 0.38733961010000001, 0.38738448019999999, 0.38742996660000001, 0.38747604899999999, 0.38752270659999999, 0.3875699179, 0.38761766079999999, 0.38766591239999998, 0.38771464919999998, 0.3877638471, 0.38781348119999998, 0.38786352600000001, 0.38791395550000002, 0.38796474289999999, 0.38801586059999998, 0.38806728060000001, 0.38811897420000002, 0.38817091199999998, 0.3882230639, 0.3882753994, 0.38832788730000001, 0.38838049549999998, 0.38843319180000002, 0.388485943, 0.38853871569999998, 0.38859147550000001, 0.38864418779999998, 0.38869681750000001, 0.3887493286, 0.38880168510000002, 0.38885385020000002, 0.38890578669999998, 0.38895745720000002, 0.38900882370000001, 0.38905984770000002, 0.38911049079999999, 0.3891607138, 0.3892104777, 0.38925974289999998, 0.38940482040000002, 0.38959932349999998, 0.3897830927, 0.38995568689999999, 0.39011680100000001, 0.39026625819999999, 0.39040400209999998, 0.39053008659999999, 0.39064466710000001, 0.39074798970000002, 0.39084038110000002, 0.39092223850000002, 0.39099401919999999, 0.39105623099999998, 0.39110942269999999, 0.39115417489999998, 0.39119109200000002, 0.3912207942, 0.39124391009999998, 0.39126107049999997, 0.39127290260000003, 0.39128002410000001, 0.39128303930000002, 0.39128253439999999, 0.39127907420000002, 0.39127319919999998, 0.39126542240000001, 0.39125622770000001, 0.39124606789999999, 0.391235363, 0.39122449920000002, 0.39121382770000002, 0.39120366420000002, 0.39119428810000001, 0.39118594229999998, 0.39117883269999998, 0.39117312780000002, 0.39116895909999999, 0.39116642029999998, 0.39116556769999999], [0.47110437040000003, 0.47110600899999999, 0.47111092669999999, 0.47111912830000002, 0.471130622, 0.47114541910000002, 0.47116353389999999, 0.47118498330000003, 0.47120978679999997, 0.47123796610000002, 0.47126954459999998, 0.47130454729999999, 0.47134300010000002, 0.4713849296, 0.47143036220000001, 0.47147932380000002, 0.47153183910000002, 0.47158793110000002, 0.47164761999999999, 0.47171092279999999, 0.47177785230000002, 0.47184841630000002, 0.47192261670000002, 0.47200044829999999, 0.47208189789999999, 0.47216694349999999, 0.47225555209999998, 0.47234767950000001, 0.47244326800000003, 0.4725422453, 0.47264452270000001, 0.47274999299999998, 0.47285852839999998, 0.47296997860000001, 0.47308416780000001, 0.4732008915, 0.47331991400000001, 0.47344096400000002, 0.4735637305, 0.47368785839999999, 0.47381294270000002, 0.47393852289999999, 0.47406407610000001, 0.47361568910000001, 0.47310607560000001, 0.4725929492, 0.47207646320000002, 0.47155675330000002, 0.47103393840000002, 0.47050812130000003, 0.46997938859999999, 0.4694478117, 0.46891344670000001, 0.46837633569999998, 0.46783650630000001, 0.46729397290000002, 0.46674873690000002, 0.46620078700000001, 0.46565010000000001, 0.46509664140000001, 0.4645403656, 0.46398121689999999, 0.46341912969999999, 0.46285402980000001, 0.46228583439999998, 0.4617144534, 0.46113978999999999, 0.46056174189999999, 0.45998020210000001, 0.45939505990000001, 0.4588062027, 0.45821351659999998, 0.45761688859999999, 0.4570162076, 0.45641136659999998, 0.45580226429999998, 0.45518880709999998, 0.45457091170000002, 0.45394850669999998, 0.45332153590000002, 0.45268996, 0.45205376000000003, 0.45141293960000001, 0.4507675283, 0.45011758400000002, 0.4494631966, 0.44880449039999998, 0.44814162749999997, 0.44747481059999999, 0.4468042861, 0.44613034660000001, 0.44545333399999998, 0.44477364200000002, 0.44409171829999999, 0.44340806710000003, 0.44272325130000001, 0.4420378941, 0.44135268100000002, 0.44066836120000002, 0.43998574950000002, 0.4393057266, 0.43862924120000002, 0.43795731030000001, 0.43729102060000002, 0.43663152849999998, 0.43598006140000001, 0.43533791760000001, 0.43470646619999997, 0.43408714749999999, 0.43348147139999998, 0.4328910165, 0.43231742769999998, 0.43176241259999998, 0.43122773650000001, 0.43071521600000001, 0.43022670959999998, 0.42976410679999999, 0.4293293138, 0.42892423530000001, 0.42855075469999998, 0.42821070919999998, 0.42790586339999998, 0.427637879, 0.42740828380000001, 0.42721843990000002, 0.42706951240000002, 0.4269624413, 0.42689791700000002, 0.42687636159999998, 0.42688811030000001, 0.42692333919999997, 0.42698199619999999, 0.42706399490000002, 0.42716921590000001, 0.42729750729999999, 0.42744868619999998, 0.4276225407, 0.42781883100000001, 0.42803729169999999, 0.42827763359999999, 0.42853954579999998, 0.42882269740000001, 0.42912673959999997, 0.42945130739999998, 0.42979602140000001, 0.43016048909999999, 0.43054430649999997, 0.43094705890000001, 0.43136832209999998, 0.43180766329999998, 0.4322646409, 0.4327388056, 0.43322969989999999, 0.43373685849999999, 0.43425980730000002, 0.43479806339999999, 0.43535113460000002, 0.4359185176, 0.4364996981, 0.43709414889999998, 0.4377013287, 0.43832068099999999, 0.43895163209999999, 0.4395935896, 0.4402459407, 0.44090805030000002, 0.441579259, 0.44225888140000003, 0.44294620369999999, 0.44364048220000002, 0.44434094089999998, 0.44504676990000003, 0.44575712360000003, 0.44647111900000003, 0.44718783420000002, 0.44790630780000001, 0.4486255374, 0.44934447979999997, 0.45006205119999998, 0.45077712800000003, 0.45148854869999999, 0.45219511600000001, 0.45289560070000001, 0.45358874659999998, 0.4542732759, 0.45494789670000002, 0.45561131160000001, 0.45626222750000001, 0.45689936689999999, 0.45752148030000001, 0.45812735980000002, 0.45871585300000001, 0.4592858776, 0.45983643619999998, 0.46036663, 0.46087567149999997, 0.46136289600000002, 0.46182777050000001, 0.46226990000000001, 0.46268903140000001, 0.46308505319999999, 0.46345799360000001, 0.46380801360000001, 0.46413539949999999, 0.46444055090000003, 0.46472396919999998, 0.4649862427, 0.46522803270000002, 0.46545005890000002, 0.46565308519999998, 0.46583790670000003, 0.46600533779999997, 0.46615620089999998, 0.46629131810000002, 0.46641150320000002, 0.46651755550000001, 0.4666102553, 0.4666903603, 0.46675860340000003, 0.46681569150000002, 0.46686230470000001, 0.46689909699999999, 0.46692669679999999, 0.46694570819999998, 0.46695671259999999, 0.4669602706, 0.46695692379999998, 0.46694719689999997, 0.46693160010000001, 0.4669106308, 0.46688477569999998, 0.46685451309999998, 0.46682031390000001, 0.46678264390000002, 0.4667419646, 0.46669873499999998, 0.46665341160000001, 0.46660644940000001, 0.4665583022, 0.46650942200000001, 0.46646025880000003, 0.46641125929999999, 0.46636286570000002, 0.46631551409999999, 0.4662696314, 0.46622563389999999, 0.46618392310000001, 0.46614488320000003, 0.4661088773, 0.46607624380000001, 0.46604729230000003, 0.46602230039999998, 0.46600150979999999, 0.46598512320000002, 0.46597330149999999, 0.46596616130000001, 0.4659637734, 0.46596616140000002, 0.4659733016, 0.46598512339999998, 0.46600151000000001, 0.4660223007, 0.4660472927, 0.46607624419999999, 0.46610887779999999, 0.46614488370000001, 0.4661839237, 0.46622563449999999, 0.4662696321, 0.4663155148, 0.46636286649999997, 0.4664112601, 0.46646025959999998, 0.46650942290000003, 0.46655830320000002, 0.46660645039999998, 0.46665341259999998, 0.46669873610000001, 0.46674196579999999, 0.466782645, 0.46682031509999999, 0.46685451430000002, 0.46688477699999997, 0.46691063199999999, 0.46693160140000001, 0.46694719820000002, 0.46695692509999998, 0.46696027200000001, 0.4669567141, 0.46694570969999999, 0.4669266983, 0.4668990985, 0.46686230620000002, 0.46681569299999998, 0.46675860499999999, 0.46669036190000002, 0.46661025690000002, 0.46651755709999998, 0.46641150479999999, 0.46629131969999998, 0.46615620250000001, 0.4660053394, 0.4658379084, 0.4656530868, 0.46545006049999998, 0.46522803429999998, 0.46498624430000002, 0.46472397090000001, 0.4644405526, 0.46413540110000001, 0.46380801519999998, 0.46345799519999997, 0.46308505480000001, 0.46268903300000003, 0.46226990159999998, 0.46182777209999998, 0.46136289759999999, 0.46087567299999999, 0.4603666314, 0.45983643759999998, 0.4592858789, 0.4587158542, 0.45812736100000001, 0.45752148149999999, 0.45689936799999997, 0.45626222859999999, 0.45561131259999998, 0.45494789769999999, 0.45427327680000001, 0.4535887475, 0.45289560159999998, 0.45219511680000002, 0.4514885495, 0.45077712879999998, 0.45006205189999998, 0.44934448049999998, 0.44862553799999999, 0.44790630840000001, 0.44718783490000003, 0.44647111960000002, 0.44575712420000002, 0.44504677040000001, 0.44434094140000002, 0.44364048270000001, 0.44294620420000003, 0.44225888190000001, 0.44157925949999999, 0.4409080507, 0.44024594109999998, 0.43959358999999998, 0.43895163250000002, 0.43832068140000002, 0.43770132899999997, 0.4370941492, 0.43649969840000002, 0.43591851790000002, 0.43535113479999998, 0.43479806370000001, 0.43425980749999998, 0.43373685870000001, 0.4332297001, 0.43273880570000001, 0.43226464100000001, 0.43180766339999999, 0.4313683223, 0.43094705900000002, 0.43054430659999998, 0.4301604892, 0.42979602150000001, 0.42945130749999999, 0.42912673969999998, 0.42882269750000002, 0.42853954589999999, 0.42827763369999999, 0.42803729169999999, 0.42781883100000001, 0.4276225407, 0.42744868619999998, 0.42729750729999999, 0.42716921590000001, 0.42706399499999997, 0.42698199619999999, 0.42692333919999997, 0.42688811030000001, 0.42687636159999998, 0.4268822364, 0.42689985720000001, 0.4269292133, 0.42697028669999998, 0.42702305260000001, 0.42708747920000001, 0.42716352800000001, 0.42725115419999998, 0.42735030670000002, 0.4274609284, 0.42758295670000002, 0.42771632380000002, 0.42786095670000002, 0.42801677809999999, 0.42818370630000002, 0.42836165590000003, 0.42855053789999997, 0.42875026030000002, 0.42896072839999999, 0.42918184500000001, 0.42941351100000003, 0.42965562550000003, 0.42990808629999999, 0.43017078990000002, 0.43044363229999999, 0.4307265086, 0.43101931370000002, 0.43132194219999997, 0.43163428910000001, 0.43195624910000002, 0.4322877175, 0.43262858999999998, 0.43297876270000002, 0.43333813240000002, 0.43370659659999999, 0.43408405319999999, 0.4344704009, 0.43486553900000002, 0.43526936760000001, 0.43568178699999999, 0.43610269829999998, 0.43653200289999999, 0.4369696025, 0.43741539909999999, 0.43786929450000001, 0.4383311909, 0.43880098989999999, 0.43927859299999999, 0.43976390110000002, 0.44025681420000001, 0.44075723179999998, 0.44126505199999999, 0.4417801717, 0.44230248620000001, 0.4428318892, 0.44336827229999998, 0.44391152499999997, 0.44446153399999999, 0.44501818360000001, 0.4455813549, 0.44615092550000002, 0.44672676960000002, 0.44730875749999999, 0.44789675480000002, 0.44849062299999998, 0.44909021809999999, 0.44969539110000001, 0.45030598690000001, 0.45092184439999999, 0.45154279559999999, 0.45216866550000001, 0.45279927129999997, 0.4534344219, 0.45407391730000002, 0.45471754800000003, 0.45536509419999999, 0.456016325, 0.45667099750000001, 0.4573288559, 0.45798963030000001, 0.45865303559999998, 0.45931876980000003, 0.45998651280000002, 0.46065592430000002, 0.46132664179999999, 0.46199827789999998, 0.4626704177, 0.46334261510000002, 0.4640143887, 0.46468521680000002, 0.46535453129999999, 0.46602171019999999, 0.46668606820000003, 0.46734684539999999, 0.4680031919, 0.46865414989999998, 0.46929862919999998, 0.46993537699999999, 0.4705629382, 0.47117960549999999, 0.47178335630000001, 0.47237177629999999, 0.4729419722, 0.47349048440000002, 0.4740132265, 0.47450550489999999, 0.47496220140000001, 0.4753782184, 0.47574922479999998, 0.47607257539999998, 0.47634805629999999, 0.47657805739999998, 0.47676705000000003, 0.47692064000000001, 0.47704463120000001, 0.47714437949999999, 0.4772244839, 0.47728872210000001, 0.47734011859999997, 0.47738106250000001, 0.4774134317, 0.47743870199999999, 0.47745803730000003, 0.47747236030000001, 0.477482407, 0.47748876870000001, 0.47749192369999999, 0.4774922613, 0.4774792947, 0.47744964290000003, 0.47740688840000001, 0.47735319269999998, 0.47728987709999998, 0.4772177359, 0.47713721320000002, 0.47704850469999999, 0.47695161650000001, 0.47684639600000001, 0.47673254520000002, 0.4766096185, 0.47647700640000001, 0.476333905, 0.47617926649999998, 0.47601172520000001, 0.47582948980000001, 0.47563018870000001, 0.47541064719999998, 0.47516657379999999, 0.47489212629999999, 0.47457934369999999, 0.47421748879999998, 0.47379250719999999, 0.47328715519999998, 0.47268283249999998, 0.47196426139999997, 0.47112678520000001, 0.47018317739999999, 0.46916556539999998, 0.46812102100000003, 0.46710315969999999, 0.46616275029999998, 0.4653394045, 0.46465619949999998, 0.4641186987, 0.46371817840000001, 0.46343705369999999, 0.46325414149999999, 0.46314840880000002, 0.46310103029999999, 0.46309619060000001, 0.46312115679999999, 0.4631660058, 0.46322323520000003, 0.4632873636, 0.46335456739999997, 0.46342236320000002, 0.46348933609999998, 0.4635549075, 0.46361913850000003, 0.4636825638, 0.46374605340000002, 0.46381069959999999, 0.46387772519999998, 0.46394841260000003, 0.46402404850000001, 0.46410588320000001, 0.46419510110000001, 0.46429280000000001, 0.46439997840000002, 0.46451752670000002, 0.46464622350000001, 0.46478673370000001, 0.46493960880000001, 0.46510528839999998, 0.46528410190000002, 0.46547627050000001, 0.46568190840000001, 0.46590102420000001, 0.4661335204, 0.46637919210000001, 0.46663772399999998, 0.46690868530000001, 0.46719152200000003, 0.46748554580000001, 0.46778991959999999, 0.46810363700000002, 0.46842549680000001, 0.4687540691, 0.46908765270000002, 0.46942422220000002, 0.4697613658, 0.47009621369999999, 0.47042536779999999, 0.47074484659999999, 0.47105007770000001, 0.47133598510000002, 0.4715972316, 0.47182866340000001, 0.47202594060000003, 0.47218622389999998, 0.472308687, 0.47239463370000001, 0.47244716399999998, 0.47247054040000003, 0.4724695008, 0.47244870979999998, 0.4724124173, 0.47236430530000001, 0.47230745969999999, 0.47224441299999997, 0.47217721670000001, 0.47210751940000001, 0.47203664020000002, 0.47196563190000002, 0.47189533290000002, 0.4718264103, 0.47175939389999999, 0.47169470359999999, 0.47163267079999999, 0.471573556, 0.4715175627, 0.47146484849999998, 0.47141553400000002, 0.47136971030000002, 0.47132744519999997, 0.47128878749999997, 0.47125377169999999, 0.47122242060000002, 0.47119474900000002, 0.47117076489999998, 0.47115047230000001, 0.47113387200000001, 0.47112096320000002, 0.47111174430000002, 0.47110621380000001, 0.47110437040000003, 0.47110559930000001, 0.47110928590000001, 0.47111543, 0.47112403139999998, 0.47113508939999998, 0.47114860330000002, 0.4711645719, 0.47118299340000003, 0.47120386559999999, 0.47122718520000001, 0.471252948, 0.47128114850000002, 0.47131177950000003, 0.47134483179999997, 0.47138029390000002, 0.47141815139999999, 0.47145838629999998, 0.47150097670000002, 0.47154589540000003, 0.4715931095, 0.47164257879999999, 0.47169425479999999, 0.47174807860000001, 0.47180397909999999, 0.47186187039999999, 0.471921649, 0.4719831894, 0.47204633979999999, 0.47211091589999998, 0.47217669359999997, 0.4722433989, 0.47231069590000002, 0.47237817119999997, 0.47244531309999999, 0.4725114856, 0.47257589439999997, 0.47263754419999998, 0.47269518459999998, 0.47274724480000002, 0.47279176090000002, 0.47282630339999998, 0.47284792910000001, 0.47285320120000002, 0.47283834029999999, 0.47279958290000001, 0.47273376649999999, 0.47263904289999997, 0.472515458, 0.47236511219999999, 0.47219180509999997, 0.4720003492, 0.47179585969999999, 0.47158323520000001, 0.47136688069999999, 0.47115061940000003, 0.4709377146, 0.47073094059999998, 0.47053266440000002, 0.47034492249999998, 0.4701694844, 0.4700079029, 0.46986155149999997, 0.46973165230000002, 0.46961929489999998, 0.46952544930000001, 0.46945097320000001, 0.4693966155, 0.46936301660000002, 0.46935070620000002, 0.46936009969999998, 0.4693914931, 0.46944505720000002, 0.46952083150000001, 0.46961871910000003, 0.46973848070000002, 0.46987973160000002, 0.4700419388, 0.47022442060000003, 0.47042634820000001, 0.47064675, 0.47088451840000001, 0.47113841890000002, 0.47140710289999999, 0.47168912169999999, 0.47198294369999999, 0.47228697269999997, 0.47259956850000001, 0.47291906700000003, 0.47324380170000002, 0.47357212409999999, 0.4739024235, 0.47423314459999999, 0.4745628046, 0.47489000599999998, 0.47521344840000002, 0.47553193700000002, 0.47584438810000002, 0.4761498327, 0.47644741670000001, 0.47673639960000003, 0.47701615079999998, 0.47728614470000003, 0.47754595420000001, 0.47779524309999999, 0.4780337583, 0.47826132160000001, 0.47847782059999999, 0.478683201, 0.47887745790000003, 0.4790606281, 0.479232783, 0.4793940216, 0.47954446429999997, 0.47968424720000002, 0.47981351729999999, 0.47993242739999997, 0.48004113250000002, 0.4801397865, 0.4802285382, 0.48030752970000001, 0.4803768934, 0.48043675029999999, 0.48048720830000002, 0.48052836090000001, 0.48056028610000001, 0.48058304530000001, 0.48059668290000002, 0.48060122579999998], [0.47110437249999998, 0.47110601120000001, 0.4711109288, 0.47111913039999997, 0.47113062410000001, 0.47114542120000003, 0.47116353599999999, 0.47118498539999998, 0.47120978899999999, 0.47123796829999998, 0.47126954679999999, 0.4713045495, 0.47134300239999999, 0.47138493180000002, 0.47143036440000002, 0.47147932599999998, 0.47153184139999998, 0.47158793339999999, 0.47164762230000001, 0.47171092510000001, 0.47177785459999999, 0.47184841859999999, 0.47192261899999999, 0.47200045060000001, 0.47208190030000002, 0.47216694590000002, 0.47225555450000001, 0.47234768189999998, 0.47244327050000001, 0.47254224779999998, 0.4726445252, 0.47274999540000001, 0.47285853090000002, 0.4729699812, 0.4730841703, 0.47320089399999998, 0.47331991649999999, 0.4734409665, 0.47356373299999999, 0.47368786089999998, 0.4738129452, 0.47393852539999998, 0.47406407859999999, 0.47361568910000001, 0.47310607560000001, 0.47259294930000001, 0.47207646330000003, 0.47155675339999997, 0.47103393859999998, 0.47050812149999999, 0.46997938880000001, 0.46944781190000001, 0.46891344699999998, 0.4683763359, 0.46783650650000003, 0.46729397319999999, 0.46674873719999999, 0.46620078729999997, 0.46565010029999998, 0.46509664169999998, 0.46454036599999998, 0.46398121720000002, 0.46341913010000002, 0.46285403019999999, 0.46228583480000002, 0.46171445379999998, 0.46113979049999998, 0.46056174239999997, 0.45998020249999999, 0.4593950604, 0.45880620319999998, 0.45821351710000002, 0.45761688909999998, 0.4570162082, 0.45641136719999997, 0.45580226480000002, 0.45518880769999998, 0.45457091230000002, 0.45394850730000003, 0.45332153650000001, 0.4526899606, 0.45205376069999997, 0.45141294030000001, 0.45076752889999999, 0.45011758470000002, 0.44946319730000001, 0.44880449109999998, 0.44814162819999998, 0.4474748113, 0.44680428680000001, 0.44613034730000001, 0.44545333479999999, 0.44477364279999998, 0.4440917191, 0.44340806799999999, 0.44272325219999997, 0.44203789500000001, 0.44135268189999999, 0.4406683622, 0.43998575039999999, 0.43930572759999997, 0.43862924219999999, 0.43795731139999999, 0.4372910217, 0.43663152960000001, 0.4359800626, 0.4353379188, 0.43470646740000002, 0.43408714869999998, 0.43348147269999998, 0.4328910178, 0.43231742909999998, 0.43176241409999999, 0.43122773800000003, 0.43071521750000002, 0.43022671109999999, 0.42976410840000001, 0.42932931540000002, 0.42892423689999998, 0.4285507563, 0.42821071090000001, 0.42790586520000001, 0.42763788079999998, 0.42740828559999999, 0.42721844170000001, 0.4270695142, 0.42696244309999998, 0.4268979188, 0.42687636340000001, 0.4268881122, 0.42692334110000002, 0.42698199799999997, 0.42706399680000001, 0.4271692178, 0.42729750909999997, 0.42744868809999997, 0.42762254249999998, 0.42781883279999999, 0.42803729350000003, 0.42827763549999998, 0.42853954770000002, 0.4288226993, 0.42912674150000002, 0.42945130929999997, 0.4297960233, 0.43016049099999998, 0.43054430840000002, 0.4309470607, 0.43136832400000003, 0.43180766520000002, 0.43226464279999999, 0.43273880749999999, 0.43322970189999999, 0.43373686039999998, 0.43425980920000001, 0.43479806539999999, 0.43535113650000001, 0.4359185196, 0.4364997001, 0.43709415080000003, 0.4377013307, 0.43832068299999999, 0.43895163409999999, 0.4395935916, 0.4402459427, 0.44090805230000002, 0.44157926110000001, 0.44225888340000002, 0.44294620579999999, 0.44364048430000003, 0.44434094299999999, 0.44504677199999998, 0.44575712569999998, 0.44647112109999998, 0.44718783639999998, 0.44790630999999997, 0.4486255395, 0.44934448199999999, 0.4500620534, 0.4507771303, 0.45148855100000002, 0.45219511829999998, 0.45289560309999999, 0.45358874900000001, 0.45427327830000003, 0.45494789920000001, 0.4556113141, 0.4562622301, 0.45689936949999999, 0.45752148300000001, 0.45812736259999998, 0.45871585580000002, 0.45928588040000001, 0.45983643909999999, 0.46036663300000003, 0.46087567460000001, 0.4613628991, 0.4618277737, 0.4622699032, 0.46268903459999999, 0.46308505659999999, 0.4634579969, 0.46380801710000003, 0.46413540289999999, 0.46444055449999999, 0.4647239728, 0.46498624630000002, 0.46522803629999998, 0.46545006249999998, 0.46565308890000001, 0.46583791050000001, 0.4660053415, 0.46615620460000001, 0.4662913219, 0.466411507, 0.4665175593, 0.46661025909999998, 0.46669036409999998, 0.46675860720000001, 0.46681569519999999, 0.46686230839999998, 0.46689910070000001, 0.46692670050000001, 0.4669457119, 0.46695671630000002, 0.46696027420000003, 0.4669569274, 0.46694720049999999, 0.46693160360000002, 0.46691063430000002, 0.46688477919999999, 0.46685451649999998, 0.46682031730000001, 0.46678264720000001, 0.46674196800000001, 0.46669873830000003, 0.4666534148, 0.4666064526, 0.46655830529999998, 0.46650942499999998, 0.4664602618, 0.46641126220000001, 0.46636286859999998, 0.4663155169, 0.4662696342, 0.46622563659999999, 0.4661839257, 0.46614488580000002, 0.46610887989999999, 0.46607624619999999, 0.4660472947, 0.4660223027, 0.46600151200000001, 0.46598512539999998, 0.4659733036, 0.46596616340000002, 0.4659637754, 0.46596616330000001, 0.46597330349999999, 0.46598512520000002, 0.46600151179999999, 0.46602230239999998, 0.46604729430000003, 0.46607624580000001, 0.46610887940000001, 0.46614488520000003, 0.46618392510000001, 0.46622563589999999, 0.4662696335, 0.46631551609999999, 0.46636286780000002, 0.4664112614, 0.46646026089999998, 0.46650942410000001, 0.4665583043, 0.46660645160000003, 0.46665341370000002, 0.46669873719999999, 0.46674196680000002, 0.46678264600000002, 0.46682031610000002, 0.46685451529999999, 0.46688477789999999, 0.46691063300000002, 0.46693160230000003, 0.46694719909999999, 0.46695692599999999, 0.46696027289999997, 0.46695671490000001, 0.4669457105, 0.46692669910000001, 0.46689909930000001, 0.46686230690000002, 0.46681569369999998, 0.4667586057, 0.46669036250000001, 0.46661025750000001, 0.46651755769999997, 0.46641150539999998, 0.46629132029999998, 0.46615620299999999, 0.46600533989999998, 0.46583790889999999, 0.46565308729999999, 0.46545006090000002, 0.46522803470000001, 0.4649862447, 0.46472397119999997, 0.46444055290000003, 0.46413540129999997, 0.4638080154, 0.46345799529999998, 0.46308505490000001, 0.46268903300000003, 0.46226990169999999, 0.46182777209999998, 0.46136289759999999, 0.46087567309999999, 0.46036663160000002, 0.4598364378, 0.45928587910000002, 0.45871585450000002, 0.45812736129999998, 0.45752148190000003, 0.45689936840000001, 0.45626222900000002, 0.45561131310000003, 0.45494789819999998, 0.45427327740000001, 0.45358874809999999, 0.45289560220000002, 0.45219511750000002, 0.45148855020000001, 0.45077712959999999, 0.45006205269999999, 0.44934448129999999, 0.44862553890000001, 0.44790630930000003, 0.44718783579999999, 0.44647112049999998, 0.44575712509999998, 0.44504677149999999, 0.4443409425, 0.44364048379999999, 0.44294620530000001, 0.44225888299999999, 0.44157926060000002, 0.44090805189999999, 0.44024594230000003, 0.43959359120000002, 0.43895163370000001, 0.43832068270000002, 0.43770133039999998, 0.4370941505, 0.43649969979999997, 0.43591851929999997, 0.43535113619999999, 0.43479806519999997, 0.434259809, 0.43373686020000002, 0.43322970170000002, 0.43273880729999997, 0.43226464260000003, 0.43180766500000001, 0.43136832390000002, 0.43094706059999999, 0.4305443082, 0.43016049090000003, 0.42979602319999999, 0.42945130920000002, 0.42912674140000001, 0.42882269919999999, 0.42853954760000001, 0.42827763540000002, 0.42803729350000003, 0.42781883279999999, 0.42762254249999998, 0.42744868800000002, 0.42729750909999997, 0.4271692178, 0.42706399680000001, 0.42698199799999997, 0.42692334110000002, 0.4268881122, 0.42687636340000001, 0.42688223819999999, 0.42689985899999999, 0.42692921509999998, 0.42697028860000003, 0.42702305439999999, 0.42708748099999999, 0.4271635298, 0.42725115600000002, 0.4273503085, 0.42746093019999998, 0.4275829585, 0.42771632549999999, 0.4278609585, 0.42801677989999998, 0.4281837081, 0.42836165770000001, 0.42855053970000001, 0.4287502621, 0.42896073019999997, 0.42918184679999999, 0.4294135127, 0.4296556272, 0.42990808800000002, 0.43017079159999999, 0.43044363400000002, 0.43072651020000002, 0.43101931529999998, 0.4313219439, 0.43163429069999998, 0.43195625069999999, 0.43228771910000002, 0.43262859149999999, 0.43297876429999999, 0.43333813399999999, 0.43370659810000001, 0.4340840547, 0.43447040240000001, 0.43486554049999998, 0.43526936900000002, 0.4356817885, 0.43610269979999999, 0.43653200440000001, 0.43696960400000001, 0.4374154005, 0.43786929590000001, 0.43833119230000001, 0.4388009913, 0.4392785944, 0.43976390240000002, 0.44025681560000002, 0.44075723309999998, 0.44126505329999999, 0.441780173, 0.44230248750000001, 0.44283189049999999, 0.44336827359999997, 0.44391152620000002, 0.44446153529999999, 0.4450181849, 0.44558135609999999, 0.44615092670000001, 0.44672677080000001, 0.44730875869999998, 0.44789675600000001, 0.44849062410000001, 0.44909021929999998, 0.44969539219999999, 0.4503059881, 0.45092184549999997, 0.45154279670000003, 0.45216866659999999, 0.45279927240000001, 0.45343442290000002, 0.45407391829999999, 0.454717549, 0.45536509520000001, 0.45601632600000003, 0.45667099849999998, 0.45732885690000002, 0.45798963129999998, 0.4586530365, 0.45931877069999999, 0.45998651369999999, 0.46065592519999998, 0.46132664270000001, 0.4619982788, 0.46267041860000002, 0.46334261599999998, 0.46401438950000001, 0.46468521759999998, 0.4653545321, 0.46602171100000001, 0.46668606899999998, 0.4673468462, 0.46800319270000001, 0.46865415069999999, 0.46929862999999999, 0.4699353778, 0.47056293900000001, 0.47117960619999999, 0.47178335700000001, 0.4723717771, 0.47294197300000002, 0.47349048519999998, 0.47401322740000001, 0.4745055058, 0.47496220239999998, 0.47537821949999998, 0.47574922600000003, 0.47607257689999999, 0.47634805790000001, 0.47657805920000001, 0.47676705190000002, 0.47692064200000001, 0.47704463330000002, 0.47714438170000001, 0.47722448610000001, 0.47728872449999998, 0.47734012100000001, 0.47738106489999999, 0.47741343409999998, 0.47743870449999998, 0.47745803980000001, 0.47747236279999999, 0.47748240949999998, 0.4774887713, 0.47749192629999998, 0.47749226389999999, 0.4774792974, 0.47744964550000002, 0.47740689110000001, 0.47735319549999999, 0.47728987989999999, 0.47721773880000001, 0.47713721609999998, 0.4770485076, 0.47695161940000003, 0.47684639890000002, 0.47673254819999999, 0.47660962150000002, 0.47647700939999998, 0.47633390799999997, 0.47617926960000001, 0.47601172819999998, 0.47582949289999998, 0.47563019169999998, 0.47541065020000001, 0.47516657680000002, 0.47489212920000001, 0.4745793465, 0.47421749149999998, 0.47379250969999998, 0.4732871575, 0.47268283449999998, 0.4719642631, 0.47112678670000002, 0.47018317850000002, 0.4691655663, 0.46812102169999997, 0.46710316039999999, 0.46616275109999999, 0.46533940530000001, 0.4646562004, 0.46411869970000003, 0.46371817949999999, 0.46343705489999998, 0.46325414279999999, 0.46314841010000002, 0.46310103159999999, 0.46309619190000001, 0.46312115799999998, 0.46316600699999999, 0.46322323640000002, 0.46328736469999998, 0.46335456850000001, 0.46342236419999999, 0.46348933710000001, 0.46355490840000002, 0.46361913939999999, 0.46368256460000001, 0.46374605419999998, 0.46381070029999999, 0.46387772579999997, 0.46394841320000002, 0.4640240491, 0.46410588380000001, 0.46419510159999999, 0.4642928006, 0.46439997890000001, 0.46451752730000001, 0.4646462241, 0.4647867342, 0.4649396093, 0.46510528890000002, 0.46528410250000002, 0.46547627110000001, 0.465681909, 0.46590102480000001, 0.466133521, 0.4663791927, 0.46663772469999998, 0.46690868600000002, 0.46719152269999997, 0.46748554660000002, 0.4677899203, 0.46810363770000002, 0.46842549760000002, 0.46875406980000001, 0.46908765340000003, 0.46942422299999997, 0.4697613665, 0.47009621439999999, 0.4704253685, 0.47074484729999999, 0.47105007840000002, 0.47133598589999998, 0.47159723240000001, 0.47182866429999998, 0.4720259416, 0.47218622510000002, 0.47230868840000001, 0.47239463520000002, 0.4724471656, 0.4724705421, 0.47246950269999999, 0.47244871170000002, 0.4724124193, 0.47236430740000002, 0.47230746179999999, 0.47224441509999998, 0.47217721880000002, 0.47210752150000002, 0.47203664239999998, 0.47196563400000002, 0.47189533500000003, 0.47182641240000001, 0.47175939610000001, 0.4716947058, 0.471632673, 0.47157355820000002, 0.47151756490000002, 0.47146485059999999, 0.47141553609999998, 0.47136971249999998, 0.47132744739999999, 0.47128878969999999, 0.4712537738, 0.47122242279999998, 0.47119475109999998, 0.4711707671, 0.47115047440000002, 0.47113387410000002, 0.47112096530000003, 0.47111174639999998, 0.47110621590000001, 0.47110437249999998, 0.47110560140000002, 0.47110928800000001, 0.47111543220000002, 0.47112403349999998, 0.4711350916, 0.47114860549999998, 0.471164574, 0.47118299559999999, 0.4712038677, 0.47122718730000002, 0.47125295020000002, 0.47128115059999998, 0.47131178159999998, 0.47134483389999998, 0.47138029599999998, 0.47141815349999999, 0.47145838839999998, 0.47150097880000003, 0.47154589749999998, 0.4715931116, 0.47164258100000001, 0.4716942569, 0.47174808070000002, 0.4718039812, 0.4718618725, 0.47192165110000001, 0.47198319150000001, 0.4720463419, 0.47211091799999999, 0.47217669569999998, 0.4722434009, 0.47231069799999997, 0.47237817329999998, 0.47244531519999999, 0.4725114876, 0.47257589649999998, 0.47263754629999999, 0.47269518659999998, 0.47274724680000002, 0.47279176290000002, 0.47282630530000003, 0.47284793110000001, 0.47285320310000001, 0.47283834219999998, 0.4727995847, 0.47273376830000002, 0.47263904470000001, 0.47251545979999998, 0.47236511390000002, 0.4721918068, 0.47200035089999998, 0.47179586140000002, 0.47158323689999998, 0.47136688230000001, 0.47115062099999999, 0.47093771629999998, 0.4707309422, 0.47053266599999999, 0.47034492410000001, 0.47016948609999998, 0.47000790450000002, 0.4698615531, 0.46973165389999999, 0.46961929650000001, 0.46952545089999997, 0.46945097489999998, 0.46939661719999998, 0.46936301829999999, 0.4693507079, 0.46936010140000001, 0.46939149479999998, 0.46944505889999999, 0.4695208333, 0.4696187208, 0.4697384825, 0.4698797334, 0.47004194059999999, 0.47022442240000001, 0.4704263501, 0.47064675189999999, 0.47088452019999999, 0.47113842080000001, 0.47140710479999998, 0.47168912359999998, 0.47198294559999998, 0.47228697469999997, 0.47259957050000001, 0.47291906900000003, 0.47324380379999997, 0.4735721262, 0.4739024255, 0.4742331467, 0.47456280670000001, 0.47489000809999998, 0.47521345050000002, 0.47553193910000002, 0.47584439029999998, 0.47614983490000001, 0.47644741899999998, 0.47673640179999999, 0.47701615310000001, 0.47728614699999999, 0.47754595649999998, 0.4777952453, 0.47803376060000002, 0.47826132380000003, 0.47847782290000002, 0.47868320330000003, 0.47887746019999999, 0.47906063040000002, 0.47923278530000002, 0.47939402390000002, 0.4795444666, 0.47968424949999999, 0.47981351960000002, 0.4799324297, 0.4800411349, 0.48013978880000002, 0.48022854050000002, 0.48030753199999998, 0.48037689569999997, 0.48043675260000002, 0.48048721059999999, 0.48052836319999997, 0.48056028839999998, 0.48058304759999998, 0.48059668529999999, 0.4806012281], [0.48735643169999998, 0.48734672070000001, 0.48731760969999999, 0.48726916450000002, 0.48720149429999998, 0.4871147508, 0.48700912680000003, 0.48688485520000002, 0.48674220689999997, 0.48658148870000001, 0.48640304140000001, 0.48620723700000001, 0.48599447629999998, 0.4857651858, 0.48551981529999999, 0.4852588343, 0.48498272949999999, 0.48469200169999999, 0.48438716250000002, 0.48406873169999998, 0.48373723429999999, 0.4833931977, 0.48303714930000002, 0.48266961349999998, 0.48229111019999998, 0.48190215159999999, 0.4815032413, 0.48109487159999997, 0.48067752260000002, 0.48025166000000002, 0.47981773480000001, 0.47937618129999998, 0.47892741680000001, 0.47847184069999998, 0.47800983390000001, 0.47754175809999999, 0.47706795610000002, 0.47658875090000002, 0.47610444600000001, 0.47561532560000003, 0.4751216539, 0.47462367630000002, 0.47412161889999999, 0.47418900959999999, 0.47431265309999998, 0.4744342506, 0.47455295130000003, 0.47466780260000002, 0.47477774270000001, 0.4748815971, 0.47497807910000001, 0.47506579739999999, 0.47514327280000002, 0.47520896979999999, 0.47526134339999998, 0.4752989058, 0.47532031340000003, 0.4753244693, 0.4753106366, 0.4752785477, 0.47522849579999998, 0.4751613918, 0.47507877650000002, 0.4749827828, 0.47487605440000002, 0.47476163179999997, 0.4746428224, 0.47452306820000001, 0.47440582440000001, 0.47429445260000003, 0.4741921322, 0.47410178860000002, 0.47402603510000002, 0.47396712689999998, 0.4739269237, 0.47390686100000001, 0.47390792929999997, 0.47393066230000003, 0.47397513489999998, 0.4740409726, 0.47412737310000003, 0.47423314100000002, 0.47435673389999999, 0.47449632050000001, 0.47464984580000003, 0.4748151021, 0.4749898005, 0.47517164109999999, 0.4753583764, 0.47554786640000002, 0.4757381228, 0.4759273423, 0.47611392790000001, 0.47629649969999999, 0.47647389649999999, 0.47664516979999999, 0.47680957210000002, 0.47696654040000003, 0.47711567859999998, 0.47725673769999999, 0.47738959609999998, 0.47751424100000001, 0.47763074999999999, 0.47773927570000002, 0.47784002990000002, 0.4779332718, 0.47801929570000001, 0.47809842149999998, 0.4781709864, 0.47823733740000002, 0.47829782570000001, 0.47835280099999999, 0.47840260769999998, 0.47844758129999998, 0.47848804540000001, 0.47852430940000001, 0.4785566664, 0.47858539169999997, 0.4786107416, 0.47863295259999999, 0.47865223979999999, 0.47866879740000001, 0.4786827971, 0.47869438860000002, 0.47870369889999997, 0.47871083199999998, 0.47871586910000002, 0.47871886809999997, 0.47871986389999999, 0.47871988090000001, 0.47871993280000003, 0.47872002159999999, 0.47872015080000002, 0.47872032520000002, 0.4787205511, 0.4787208362, 0.4787211898, 0.47872162260000001, 0.47872214689999998, 0.4787227765, 0.47872352709999999, 0.47872441599999999, 0.47872546220000001, 0.47872668680000002, 0.47872811269999999, 0.47872976499999997, 0.4787316707, 0.47873385950000003, 0.47873636310000001, 0.47873921600000002, 0.47874245529999998, 0.47874612090000002, 0.47875025580000002, 0.47875490599999998, 0.47876012099999998, 0.47876595389999999, 0.47877246159999998, 0.47877970489999999, 0.47878774899999998, 0.4787966635, 0.47880652299999998, 0.47881740680000001, 0.47882940000000002, 0.47884259309999999, 0.47885708269999999, 0.47887297159999997, 0.47889036909999999, 0.47890939179999997, 0.47893016300000002, 0.47895281379999999, 0.47897748289999997, 0.4790043168, 0.47903347010000003, 0.47906510569999999, 0.47909939410000002, 0.47913651410000002, 0.47917665189999997, 0.47922000059999997, 0.47926676000000001, 0.4793171349, 0.47937133440000002, 0.47942957000000003, 0.4794920533, 0.47955899429999999, 0.4796305978, 0.47970706019999998, 0.47978856580000001, 0.47987528210000002, 0.47996735550000003, 0.4800649058, 0.48016802110000001, 0.48027675260000002, 0.48039110889999997, 0.48051105199999999, 0.48063649260000002, 0.48076728749999997, 0.4809032372, 0.48104408609999999, 0.48118952320000002, 0.48133918539999998, 0.48149266210000002, 0.48164950140000001, 0.48180921780000002, 0.48197130069999999, 0.48213522349999999, 0.48230045370000002, 0.48246646129999998, 0.48263272820000003, 0.48279875550000001, 0.4829640704, 0.48312823110000003, 0.4832908313, 0.4834515023, 0.48360991440000001, 0.48376577710000002, 0.4839188385, 0.48406888329999997, 0.48421573080000002, 0.48435923240000001, 0.4844992682, 0.4846357442, 0.48476858909999998, 0.48489775140000002, 0.48502319579999997, 0.48514490119999998, 0.48526285759999999, 0.48537706359999999, 0.48548752480000001, 0.48559425140000001, 0.48569725689999999, 0.48579655630000002, 0.4858921651, 0.48598409809999998, 0.48607236879999999, 0.48615698839999999, 0.48623796540000003, 0.4863153053, 0.48638901039999999, 0.48645907929999999, 0.4865255074, 0.48658828669999998, 0.48664740569999998, 0.4867028504, 0.48675460409999999, 0.48680264769999998, 0.48684696080000001, 0.48688752149999998, 0.48692430720000002, 0.4869572955, 0.48698646420000002, 0.48701179230000002, 0.48703326009999998, 0.4870508503, 0.48706454780000003, 0.4870743407, 0.48708022000000001, 0.4870821803, 0.4870802199, 0.48707434059999999, 0.48706454770000002, 0.48705085009999999, 0.48703325990000002, 0.48701179210000001, 0.48698646400000001, 0.48695729529999998, 0.486924307, 0.48688752120000001, 0.48684696059999999, 0.48680264760000003, 0.48675460390000003, 0.48670285029999999, 0.48664740560000003, 0.48658828650000002, 0.48652550729999999, 0.48645907919999998, 0.48638901029999998, 0.4863153053, 0.48623796530000002, 0.48615698829999998, 0.48607236879999999, 0.48598409809999998, 0.4858921651, 0.48579655630000002, 0.48569725699999999, 0.48559425150000002, 0.48548752480000001, 0.48537706359999999, 0.48526285759999999, 0.48514490129999999, 0.48502319589999998, 0.48489775140000002, 0.48476858919999999, 0.4846357442, 0.4844992682, 0.48435923240000001, 0.48421573080000002, 0.48406888329999997, 0.4839188385, 0.48376577710000002, 0.4836099143, 0.48345150219999999, 0.4832908313, 0.48312823100000002, 0.48296407019999998, 0.48279875529999999, 0.48263272800000001, 0.48246646100000001, 0.4823004534, 0.48213522320000002, 0.48197130030000002, 0.48180921739999999, 0.48164950099999998, 0.48149266159999998, 0.48133918479999999, 0.48118952250000002, 0.48104408539999999, 0.48090323639999999, 0.48076728660000001, 0.4806364917, 0.48051105109999998, 0.48039110800000001, 0.4802767516, 0.48016802019999999, 0.48006490489999998, 0.47996735470000002, 0.47987528130000001, 0.47978856510000001, 0.47970705949999998, 0.47963059720000001, 0.47955899369999999, 0.4794920527, 0.47942956939999998, 0.47937133389999997, 0.47931713440000001, 0.47926675949999997, 0.4792200002, 0.47917665139999999, 0.47913651369999999, 0.47909939369999999, 0.47906510530000002, 0.4790334698, 0.47900431650000003, 0.4789774826, 0.47895281350000002, 0.4789301628, 0.47890939160000001, 0.47889036889999997, 0.47887297140000001, 0.47885708249999998, 0.47884259299999998, 0.47882939990000001, 0.4788174067, 0.47880652280000002, 0.47879666339999999, 0.47878774889999998, 0.47877970479999998, 0.47877246150000002, 0.47876595389999999, 0.47876012089999997, 0.47875490590000003, 0.47875025570000002, 0.47874612090000002, 0.47874245529999998, 0.47873921600000002, 0.47873636310000001, 0.47873385950000003, 0.4787316707, 0.47872976490000002, 0.47872811269999999, 0.47872668680000002, 0.47872546220000001, 0.47872441599999999, 0.47872352709999999, 0.4787227765, 0.47872214689999998, 0.47872162260000001, 0.4787211898, 0.4787208362, 0.4787205511, 0.47872032520000002, 0.47872015080000002, 0.4787200217, 0.47871993289999998, 0.47871988100000001, 0.47871986389999999, 0.47871987240000002, 0.47871989790000002, 0.47871994029999998, 0.47871999939999998, 0.47872007509999998, 0.47872016719999999, 0.47872027519999999, 0.47872039890000001, 0.47872053790000002, 0.47872069169999998, 0.4787208597, 0.4787210415, 0.47872123640000003, 0.47872144379999998, 0.47872166290000001, 0.47872189300000001, 0.47872213340000003, 0.47872238299999997, 0.47872264120000002, 0.47872290699999998, 0.47872317939999998, 0.4787234574, 0.47872374000000001, 0.47872402609999998, 0.47872431479999999, 0.47872460480000001, 0.47872489509999999, 0.47872518450000001, 0.47872547180000002, 0.47872575589999999, 0.47872603549999998, 0.47872630960000001, 0.47872657689999998, 0.47872683630000001, 0.47872708650000001, 0.47872732639999999, 0.47872755490000002, 0.47872777090000002, 0.47872797319999999, 0.47872816089999998, 0.4787283329, 0.47872848829999998, 0.47872862620000001, 0.47872874580000002, 0.47872884640000002, 0.47872892719999999, 0.47872898790000001, 0.47872902789999999, 0.47872904700000002, 0.47872904490000001, 0.47872902179999999, 0.4787289777, 0.47872891299999998, 0.47872882839999997, 0.47872872459999999, 0.47872860270000001, 0.47872846419999998, 0.47872831059999998, 0.47872814419999998, 0.47872796719999999, 0.47872778269999999, 0.47872759399999998, 0.47872740499999999, 0.47872722029999998, 0.47872704500000002, 0.4787268851, 0.47872674739999999, 0.4787266396, 0.4787265704, 0.47872654980000001, 0.47872658899999998, 0.47872670080000002, 0.47872689969999999, 0.47872720190000001, 0.47872762600000002, 0.47872819300000002, 0.47872892680000001, 0.47872985439999999, 0.47873100670000002, 0.47873241890000001, 0.47873413110000002, 0.47873618950000002, 0.47873864690000001, 0.47874156429999998, 0.47874501200000003, 0.47874907179999998, 0.47875383859999998, 0.47875942370000002, 0.47876595760000001, 0.47877359409999998, 0.47878251599999999, 0.47879294100000003, 0.4788051304, 0.4788193993, 0.47883613069999997, 0.4788557926, 0.47887896120000001, 0.47890635040000001, 0.47893884959999999, 0.47897757400000002, 0.47902392560000001, 0.47907967010000002, 0.47914702329999997, 0.47922873910000002, 0.47932816950000001, 0.47944924760000002, 0.47959630530000003, 0.47977363210000001, 0.4799847324, 0.48023141009999998, 0.48051303070000001, 0.48082635439999999, 0.48116606849999999, 0.48152574279999999, 0.48189877819999999, 0.4822790636, 0.48266129810000002, 0.48304106749999998, 0.48341478830000001, 0.4837796016, 0.48413325820000003, 0.4844740173, 0.48480056090000001, 0.4851119257, 0.48540744689999998, 0.48568671289999998, 0.48594952590000001, 0.48619586910000001, 0.48683802100000001, 0.4873430131, 0.48772500810000002, 0.4879995674, 0.48818144390000001, 0.48828349360000001, 0.48831631640000001, 0.48828829680000002, 0.48820582200000001, 0.4880735504, 0.48789466879999999, 0.48767111530000001, 0.48740376530000001, 0.48709258970000002, 0.48673679930000002, 0.48633499619999998, 0.4858853595, 0.48538589970000001, 0.484834828, 0.48423109949999998, 0.48357519500000001, 0.48287019609999998, 0.48212314569999998, 0.48134650699999998, 0.48055916250000003, 0.47978586379999999, 0.4790538869, 0.47838693199999999, 0.4777990875, 0.47729280340000002, 0.47686173040000002, 0.47649551959999997, 0.47618358579999998, 0.47591697109999997, 0.4756888346, 0.47549428310000003, 0.47532998869999998, 0.47519379620000002, 0.4750843837, 0.4750009885, 0.4749431885, 0.4749107293, 0.47490338710000002, 0.47492086360000002, 0.47496270860000001, 0.47502826869999998, 0.4751166611, 0.47522676759999999, 0.47535724680000002, 0.47550655829999999, 0.47567299429999998, 0.47585471229999998, 0.47604976539999999, 0.47625612540000001, 0.47647169909999998, 0.47669433300000003, 0.47692181020000002, 0.47715183799999999, 0.47738202930000001, 0.47760987919999998, 0.4778327423, 0.47804781489999998, 0.47825213080000001, 0.47844257899999998, 0.47861595600000001, 0.4787690624, 0.47889885030000001, 0.47900261760000001, 0.47907823100000002, 0.47912434180000002, 0.4791405494, 0.47912747369999997, 0.4790867157, 0.47902071829999998, 0.47893256270000001, 0.47882574680000001, 0.47870398669999997, 0.47857106599999999, 0.4784307431, 0.47828671439999998, 0.4781426238, 0.47800211050000002, 0.47786888319999998, 0.47774681219999998, 0.477640026, 0.4775529925, 0.47749055280000002, 0.47745785639999999, 0.47746014069999998, 0.47750230490000001, 0.47758829609999998, 0.47772043720000001, 0.47789892750000001, 0.4781217371, 0.47838495170000001, 0.47868341580000001, 0.47901142959999998, 0.47936330659999998, 0.47973372339999998, 0.48011788249999998, 0.48051154870000001, 0.4809110157, 0.48131304260000002, 0.48171478509999999, 0.4821137311, 0.48250764709999999, 0.48289453440000002, 0.48327259550000001, 0.48364020769999999, 0.48399590349999999, 0.4843383557, 0.48466636569999999, 0.48497885419999998, 0.48527485339999998, 0.48555350050000001, 0.48581403109999999, 0.48605577319999999, 0.486278141, 0.4864806283, 0.4866628026, 0.48682429869999999, 0.4869648117, 0.48708409200000002, 0.48718193869999998, 0.48725819539999998, 0.48731274479999998, 0.48734550609999999, 0.48735643169999998, 0.48734914750000002, 0.48732730000000002, 0.48729090470000003, 0.48723998800000001, 0.48717458790000001, 0.48709475489999998, 0.48700055380000001, 0.48689206460000001, 0.48676938469999997, 0.4866326306, 0.48648193989999999, 0.48631747339999998, 0.48613941729999999, 0.48594798519999999, 0.48574342009999999, 0.4855259965, 0.48529602199999999, 0.48505383940000002, 0.48479982760000001, 0.4845344036, 0.48425802350000002, 0.48397118360000002, 0.4836744221, 0.48336831959999998, 0.48305350130000002, 0.4827306381, 0.48240044980000002, 0.48206370720000002, 0.48172123709999998, 0.48137392779999999, 0.48102273649999999, 0.48066870020000002, 0.48031294930000001, 0.47995672610000001, 0.47960140969999998, 0.47924854750000001, 0.47889989770000002, 0.47855748100000001, 0.47822364439999998, 0.47790113420000002, 0.47759316619999997, 0.4773034733, 0.47703628520000002, 0.47679617559999998, 0.4765877047, 0.4764148319, 0.47628020319999997, 0.47618457009999998, 0.47612662909999998, 0.47610337619999998, 0.47611079220000002, 0.476144552, 0.47620054309999998, 0.47627514069999999, 0.47636529439999997, 0.47646850419999998, 0.47658274719999999, 0.47670639279999999, 0.4768381223, 0.47697686169999998, 0.47712172679999998, 0.4772719802, 0.47742699779999997, 0.47758624319999998, 0.47774924759999998, 0.47791559480000001, 0.47808490930000003, 0.47825684670000002, 0.47843108719999999, 0.47860732979999998, 0.47878528739999998, 0.47896468450000002, 0.47914525330000002, 0.47932673279999999, 0.4795088663, 0.47969140090000001, 0.4798740863, 0.48005667429999999, 0.48023891880000003, 0.48042057519999998, 0.48060140060000001, 0.4807811541, 0.48095959719999998, 0.48113649419999999, 0.48131161230000002, 0.48148472310000001, 0.4816556025, 0.4818240319, 0.48198979920000001, 0.4821526988, 0.48231253359999998, 0.4824691149, 0.4826222637, 0.48277181149999998, 0.4829176006, 0.4830594856, 0.48319733279999999, 0.48333102169999997, 0.4834604448, 0.48358550769999997, 0.48370612950000003, 0.4838222425, 0.48393379209999998, 0.48404073600000003, 0.48414304429999999, 0.48424069850000001, 0.48433369059999998, 0.48442202270000001, 0.48450570570000001, 0.4845847586, 0.48465920689999997, 0.48472908240000001, 0.48479442140000001, 0.4848552639, 0.48491165279999998, 0.48496363240000001, 0.48501124779999999, 0.48505454399999998, 0.48509356469999998, 0.48512835199999998, 0.48515894539999999, 0.48518538109999998, 0.48520769180000001, 0.48522590599999998, 0.48524004720000002, 0.48525013439999998, 0.48525618120000003, 0.48525819590000002], [0.48735643210000001, 0.48734672109999999, 0.48731761010000002, 0.4872691649, 0.48720149470000002, 0.48711475110000002, 0.4870091272, 0.4868848556, 0.4867422072, 0.48658148899999998, 0.48640304169999998, 0.48620723739999999, 0.4859944766, 0.48576518619999998, 0.48551981560000002, 0.48525883460000002, 0.48498272990000002, 0.48469200200000001, 0.48438716279999999, 0.484068732, 0.48373723460000001, 0.48339319809999998, 0.48303714959999999, 0.48266961380000001, 0.48229111050000001, 0.48190215190000002, 0.48150324160000002, 0.4810948719, 0.48067752279999998, 0.48025166029999999, 0.47981773500000002, 0.4793761815, 0.47892741700000002, 0.4784718409, 0.47800983400000002, 0.47754175830000001, 0.47706795619999998, 0.47658875099999998, 0.47610444610000002, 0.47561532560000003, 0.475121654, 0.47462367640000003, 0.47412161889999999, 0.47418901200000002, 0.47431265560000002, 0.47443425299999997, 0.4745529537, 0.474667805, 0.47477774499999997, 0.47488159940000002, 0.47497808139999997, 0.4750657995, 0.47514327490000002, 0.4752089719, 0.47526134539999998, 0.4752989077, 0.47532031520000001, 0.47532447100000003, 0.47531063829999998, 0.47527854940000003, 0.47522849740000001, 0.47516139340000002, 0.47507877799999998, 0.47498278430000002, 0.47487605589999998, 0.47476163339999999, 0.47464282390000001, 0.47452306979999997, 0.47440582599999997, 0.47429445419999999, 0.47419213380000003, 0.47410179019999998, 0.47402603679999999, 0.47396712860000001, 0.47392692539999998, 0.47390686269999999, 0.473907931, 0.473930664, 0.47397513670000002, 0.47404097439999998, 0.47412737500000002, 0.47423314280000001, 0.47435673569999998, 0.4744963224, 0.47464984770000002, 0.47481510389999998, 0.47498980239999999, 0.47517164299999998, 0.4753583784, 0.47554786840000002, 0.4757381248, 0.47592734440000001, 0.47611392990000001, 0.47629650169999999, 0.4764738986, 0.4766451719, 0.47680957419999997, 0.47696654249999998, 0.47711568069999999, 0.4772567398, 0.4773895983, 0.47751424310000001, 0.47763075220000001, 0.47773927779999997, 0.47784003209999998, 0.47793327400000002, 0.47801929789999997, 0.4780984237, 0.47817098860000001, 0.47823733959999998, 0.47829782790000003, 0.47835280320000001, 0.4784026099, 0.4784475835, 0.47848804760000002, 0.47852431159999997, 0.4785566685, 0.47858539379999998, 0.47861074380000002, 0.4786329547, 0.47865224200000001, 0.47866879950000002, 0.47868279930000002, 0.47869439079999998, 0.47870370099999998, 0.47871083409999998, 0.47871587119999998, 0.47871887019999998, 0.47871986599999999, 0.47871988310000002, 0.47871993499999999, 0.47872002380000001, 0.47872015299999998, 0.47872032730000003, 0.47872055320000001, 0.47872083840000001, 0.47872119200000002, 0.47872162470000001, 0.47872214899999999, 0.47872277860000001, 0.4787235292, 0.47872441809999999, 0.47872546430000001, 0.47872668889999997, 0.47872811479999999, 0.47872976699999997, 0.47873167280000001, 0.47873386150000002, 0.47873636520000001, 0.47873921809999997, 0.47874245729999998, 0.47874612290000002, 0.47875025780000002, 0.47875490799999998, 0.47876012299999998, 0.47876595589999998, 0.47877246359999998, 0.47877970679999998, 0.47878775089999998, 0.47879666539999999, 0.47880652480000002, 0.47881740859999999, 0.4788294018, 0.47884259489999997, 0.47885708440000002, 0.4788729733, 0.47889037080000002, 0.47890939339999999, 0.47893016459999999, 0.47895281540000001, 0.47897748439999999, 0.47900431830000001, 0.47903347159999998, 0.4790651071, 0.47909939550000002, 0.47913651540000002, 0.47917665310000002, 0.47922000180000002, 0.47926676109999999, 0.47931713599999998, 0.47937133539999999, 0.47942957089999999, 0.47949205420000002, 0.4795589951, 0.4796305985, 0.47970706089999998, 0.4797885663, 0.47987528260000001, 0.4799673559, 0.48006490610000002, 0.48016802130000003, 0.48027675269999998, 0.48039110889999997, 0.4805110521, 0.48063649279999998, 0.48076728769999999, 0.48090323750000002, 0.48104408650000002, 0.48118952370000001, 0.48133918599999997, 0.48149266280000003, 0.48164950220000002, 0.48180921859999998, 0.4819713015, 0.48213522450000001, 0.48230045459999998, 0.48246646230000001, 0.48263272930000001, 0.48279875659999999, 0.48296407149999998, 0.48312823230000002, 0.48329083249999999, 0.48345150349999999, 0.4836099156, 0.4837657783, 0.48391883969999999, 0.48406888450000002, 0.48421573210000002, 0.48435923359999999, 0.48449926939999999, 0.48463574539999998, 0.48476859030000002, 0.48489775260000001, 0.48502319700000002, 0.48514490240000002, 0.48526285870000002, 0.48537706460000002, 0.48548752579999999, 0.48559425239999998, 0.48569725790000001, 0.48579655729999999, 0.48589216600000001, 0.485984099, 0.4860723696, 0.48615698909999999, 0.48623796609999997, 0.486315306, 0.48638901099999998, 0.48645907989999998, 0.486525508, 0.48658828710000002, 0.48664740610000001, 0.48670285079999998, 0.48675460440000001, 0.486802648, 0.48684696100000002, 0.48688752159999998, 0.48692430730000003, 0.48695729560000001, 0.48698646429999998, 0.48701179230000002, 0.48703326019999998, 0.48705085040000001, 0.48706454799999999, 0.48707434090000001, 0.48708022020000002, 0.48708218060000003, 0.48708022020000002, 0.48707434090000001, 0.48706454809999999, 0.48705085050000002, 0.4870332604, 0.48701179249999998, 0.48698646449999999, 0.48695729580000002, 0.48692430759999999, 0.4868875218, 0.48684696119999998, 0.48680264820000002, 0.48675460459999997, 0.48670285099999999, 0.48664740629999997, 0.48658828729999998, 0.4865255081, 0.48645907999999999, 0.48638901109999999, 0.486315306, 0.48623796609999997, 0.4861569892, 0.4860723696, 0.485984099, 0.48589216600000001, 0.48579655719999998, 0.48569725790000001, 0.48559425239999998, 0.48548752579999999, 0.48537706460000002, 0.48526285860000001, 0.48514490230000001, 0.48502319690000001, 0.4848977525, 0.48476859030000002, 0.48463574529999998, 0.48449926929999998, 0.48435923359999999, 0.48421573200000001, 0.48406888450000002, 0.48391883969999999, 0.4837657783, 0.4836099156, 0.4834515036, 0.4832908326, 0.48312823240000002, 0.4829640717, 0.48279875680000001, 0.48263272950000002, 0.48246646259999998, 0.48230045490000001, 0.48213522479999998, 0.48197130189999998, 0.48180921910000002, 0.48164950270000001, 0.48149266330000001, 0.48133918660000002, 0.4811895243, 0.48104408720000003, 0.48090323829999998, 0.4807672885, 0.48063649359999999, 0.48051105300000002, 0.4803911099, 0.48027675359999999, 0.48016802219999999, 0.48006490689999998, 0.47996735670000001, 0.47987528330000001, 0.47978856710000001, 0.47970706159999998, 0.47963059920000001, 0.4795589958, 0.47949205480000001, 0.47942957139999998, 0.47937133599999998, 0.47931713650000002, 0.47926676159999998, 0.47922000219999999, 0.47917665349999999, 0.4791365158, 0.47909939579999999, 0.47906510740000002, 0.47903347190000001, 0.47900431859999998, 0.47897748470000001, 0.47895281560000003, 0.47893016490000001, 0.47890939360000001, 0.47889037099999998, 0.47887297350000002, 0.47885708459999998, 0.47884259509999999, 0.47882940200000002, 0.47881740880000001, 0.47880652489999997, 0.4787966655, 0.47878775099999998, 0.47877970689999999, 0.47877246359999998, 0.47876595599999999, 0.47876012299999998, 0.47875490799999998, 0.47875025780000002, 0.47874612300000002, 0.47874245739999999, 0.47873921809999997, 0.47873636520000001, 0.47873386159999998, 0.47873167280000001, 0.47872976699999997, 0.47872811479999999, 0.47872668889999997, 0.47872546430000001, 0.47872441809999999, 0.4787235292, 0.47872277860000001, 0.47872214899999999, 0.47872162470000001, 0.47872119190000001, 0.47872083840000001, 0.47872055320000001, 0.47872032730000003, 0.47872015289999997, 0.47872002380000001, 0.47871993499999999, 0.47871988310000002, 0.47871986599999999, 0.47871987449999998, 0.47871989999999998, 0.47871994239999999, 0.47872000149999999, 0.47872007719999998, 0.4787201693, 0.4787202773, 0.47872040100000002, 0.47872054000000003, 0.47872069379999999, 0.47872086190000002, 0.47872104370000002, 0.47872123859999999, 0.47872144589999999, 0.47872166500000002, 0.47872189520000002, 0.47872213549999998, 0.47872238519999999, 0.47872264339999998, 0.47872290909999998, 0.47872318149999998, 0.4787234595, 0.47872374210000002, 0.47872402829999999, 0.4787243169, 0.47872460700000002, 0.4787248972, 0.47872518660000002, 0.47872547389999998, 0.478725758, 0.4787260377, 0.47872631180000003, 0.47872657909999999, 0.47872683849999997, 0.47872708870000003, 0.4787273286, 0.47872755709999998, 0.47872777309999998, 0.47872797540000001, 0.47872816309999999, 0.47872833510000001, 0.47872849049999999, 0.47872862840000002, 0.47872874799999998, 0.47872884859999998, 0.4787289294, 0.47872899009999997, 0.47872903010000001, 0.47872904919999998, 0.47872904710000003, 0.478729024, 0.47872897990000002, 0.47872891519999999, 0.47872883059999999, 0.4787287268, 0.47872860499999997, 0.4787284664, 0.47872831290000001, 0.4787281464, 0.47872796950000002, 0.47872778500000002, 0.4787275963, 0.47872740730000002, 0.47872722249999999, 0.47872704729999999, 0.47872688740000002, 0.47872674970000001, 0.47872664180000002, 0.47872657270000002, 0.47872655209999998, 0.4787265913, 0.47872670309999998, 0.47872690200000001, 0.47872720419999998, 0.47872762829999999, 0.47872819529999999, 0.47872892909999998, 0.47872985670000001, 0.47873100899999999, 0.47873242119999998, 0.47873413349999999, 0.4787361919, 0.47873864929999999, 0.4787415666, 0.4787450144, 0.4787490741, 0.47875384100000001, 0.4787594261, 0.47876595989999998, 0.47877359650000001, 0.47878251840000002, 0.4787929434, 0.47880513279999998, 0.47881940169999998, 0.47883613310000001, 0.47885579499999997, 0.47887896359999998, 0.47890635269999998, 0.47893885200000003, 0.47897757629999999, 0.47902392789999998, 0.47907967239999999, 0.4791470256, 0.47922874129999998, 0.47932817170000003, 0.47944924970000002, 0.47959630739999998, 0.47977363420000002, 0.47998473429999999, 0.48023141200000002, 0.48051303239999998, 0.48082635610000002, 0.48116607010000001, 0.48152574440000001, 0.48189877980000001, 0.48227906520000002, 0.4826612998, 0.4830410691, 0.48341478999999998, 0.48377960330000003, 0.48413326000000001, 0.48447401909999999, 0.4848005628, 0.48511192759999999, 0.48540744889999998, 0.48568671489999998, 0.48594952800000002, 0.48619587130000003, 0.48683802339999999, 0.48734301549999998, 0.48772501060000001, 0.4879995701, 0.48818144660000001, 0.48828349640000002, 0.48831631920000002, 0.48828829959999998, 0.48820582489999997, 0.48807355340000003, 0.48789467180000001, 0.48767111819999998, 0.48740376819999998, 0.48709259269999999, 0.48673680219999998, 0.4863349991, 0.48588536249999997, 0.48538590259999997, 0.48483483090000001, 0.4842311024, 0.48357519789999998, 0.482870199, 0.4821231486, 0.48134651000000001, 0.4805591655, 0.47978586699999998, 0.4790538902, 0.4783869355, 0.47779909100000001, 0.47729280699999999, 0.4768617342, 0.47649552340000001, 0.47618358960000001, 0.47591697490000001, 0.47568883839999998, 0.4754942868, 0.47532999240000001, 0.47519379979999998, 0.47508438720000001, 0.4750009919, 0.4749431918, 0.47491073239999998, 0.47490338999999998, 0.47492086639999997, 0.47496271109999999, 0.47502827110000001, 0.47511666330000002, 0.47522676959999999, 0.4753572485, 0.47550655980000001, 0.47567299559999998, 0.47585471350000003, 0.47604976630000001, 0.47625612610000001, 0.47647169960000002, 0.47669433329999999, 0.47692181039999998, 0.47715183839999997, 0.4773820298, 0.47760987989999998, 0.47783274310000001, 0.47804781600000001, 0.478252132, 0.47844258039999998, 0.47861595759999997, 0.47876906429999999, 0.47889885230000001, 0.47900261970000002, 0.47907823329999999, 0.4791243442, 0.479140552, 0.47912747639999997, 0.4790867184, 0.47902072109999999, 0.47893256550000002, 0.47882574970000003, 0.47870398959999999, 0.4785710688, 0.47843074590000001, 0.47828671709999998, 0.4781426265, 0.47800211320000002, 0.47786888579999998, 0.47774681470000002, 0.47764002840000003, 0.47755299490000003, 0.47749055499999998, 0.47745785839999999, 0.47746014260000003, 0.47750230669999999, 0.47758829780000001, 0.47772043870000003, 0.47789892890000002, 0.4781217385, 0.478384953, 0.478683417, 0.47901143080000003, 0.47936330780000003, 0.47973372450000001, 0.48011788360000002, 0.48051154979999999, 0.48091101670000003, 0.4813130437, 0.48171478610000001, 0.48211373210000003, 0.48250764800000001, 0.48289453529999998, 0.48327259630000002, 0.48364020839999999, 0.48399590419999999, 0.4843383564, 0.48466636639999999, 0.48497885480000003, 0.48527485399999998, 0.485553501, 0.48581403159999997, 0.48605577370000003, 0.48627814139999997, 0.48648062869999997, 0.48666280299999998, 0.48682429900000002, 0.48696481209999998, 0.48708409229999999, 0.48718193910000002, 0.48725819570000001, 0.48731274520000001, 0.48734550640000002, 0.48735643210000001, 0.4873491479, 0.4873273004, 0.4872909051, 0.48723998839999999, 0.48717458819999998, 0.48709475530000002, 0.48700055419999999, 0.48689206499999999, 0.48676938510000001, 0.48663263099999998, 0.48648194030000003, 0.48631747380000001, 0.48613941770000002, 0.48594798560000002, 0.48574342050000002, 0.48552599699999999, 0.48529602259999999, 0.48505383990000001, 0.4847998282, 0.48453440419999999, 0.48425802410000002, 0.48397118430000002, 0.48367442290000001, 0.4833683204, 0.48305350209999998, 0.48273063900000002, 0.48240045069999998, 0.48206370809999999, 0.4817212381, 0.48137392880000002, 0.48102273760000003, 0.4806687013, 0.4803129505, 0.4799567273, 0.47960141090000002, 0.47924854880000001, 0.47889989900000002, 0.4785574823, 0.47822364579999999, 0.47790113560000003, 0.47759316769999999, 0.47730347480000002, 0.47703628679999999, 0.47679617730000001, 0.47658770649999999, 0.47641483369999998, 0.47628020500000001, 0.47618457199999997, 0.47612663109999998, 0.47610337829999999, 0.47611079420000002, 0.47614455410000001, 0.47620054519999999, 0.4762751428, 0.47636529649999998, 0.47646850629999998, 0.4765827493, 0.4767063949, 0.4768381243, 0.47697686369999998, 0.47712172879999998, 0.4772719822, 0.47742699979999997, 0.47758624509999997, 0.47774924949999997, 0.4779155967, 0.47808491110000001, 0.4782568485, 0.47843108909999998, 0.47860733150000001, 0.47878528920000002, 0.47896468619999999, 0.47914525499999999, 0.47932673440000001, 0.47950886790000002, 0.47969140240000002, 0.47987408780000002, 0.4800566758, 0.48023892029999998, 0.48042057659999998, 0.4806014019, 0.48078115539999999, 0.48095959849999997, 0.48113649530000002, 0.4813116134, 0.48148472409999998, 0.48165560340000002, 0.48182403289999998, 0.48198980000000002, 0.48215269960000001, 0.48231253429999998, 0.4824691156, 0.48262226429999999, 0.48277181200000002, 0.48291760119999999, 0.48305948599999998, 0.48319733320000002, 0.48333102210000001, 0.48346044510000002, 0.483585508, 0.4837061298, 0.48382224289999998, 0.48393379240000001, 0.4840407364, 0.48414304479999998, 0.48424069889999999, 0.48433369110000002, 0.4844220233, 0.48450570640000001, 0.48458475919999999, 0.48465920759999997, 0.48472908310000001, 0.48479442210000001, 0.48485526470000001, 0.48491165359999999, 0.48496363329999997, 0.48501124870000001, 0.4850545449, 0.4850935656, 0.4851283529, 0.4851589463, 0.48518538210000001, 0.48520769289999999, 0.48522590700000001, 0.4852400482, 0.4852501354, 0.48525618230000001, 0.485258197], [0.50716871109999995, 0.50715606660000001, 0.50711817339999998, 0.50705515140000001, 0.50696719940000001, 0.50685459259999999, 0.50671768049999999, 0.50655688350000005, 0.50637268840000005, 0.50616564470000003, 0.50593635930000003, 0.50568549159999998, 0.50541374800000005, 0.50512187620000004, 0.50481065989999996, 0.5044809133, 0.50413347539999998, 0.50376920520000001, 0.50338897660000004, 0.50299367390000005, 0.5025841875, 0.50216141030000006, 0.50172623439999997, 0.50127954799999996, 0.50082223339999998, 0.50035516489999998, 0.49987920759999999, 0.49939521689999999, 0.49890403770000002, 0.49840650530000002, 0.49790344580000001, 0.4973956779, 0.4968840148, 0.496369267, 0.49585224529999999, 0.49533376480000002, 0.49481465009999998, 0.49429573989999998, 0.49377789399999999, 0.49326199990000003, 0.49274898099999997, 0.49223980589999999, 0.49173549779999998, 0.49123714590000001, 0.49074591719999999, 0.49026306920000001, 0.4897899624, 0.48932807360000002, 0.48887900709999998, 0.4884445046, 0.4880264493, 0.48762686500000002, 0.4872479039, 0.48689182240000001, 0.48656093859999999, 0.48625757180000001, 0.48598396059999999, 0.48574216460000003, 0.48553395510000003, 0.48536070819999999, 0.48522331460000001, 0.48512212170000002, 0.48505691909999998, 0.48502696979999999, 0.48503108369999998, 0.48506771850000002, 0.4851350928, 0.48523129729999998, 0.48535438959999999, 0.4855024698, 0.48567373229999999, 0.48586649659999998, 0.48607921929999998, 0.48631049329999998, 0.4865590347, 0.48682366389999998, 0.48710328110000001, 0.48739683979999998, 0.48770331989999999, 0.4880217006, 0.48835093660000001, 0.48868993700000002, 0.48903754939999999, 0.48939254920000003, 0.48975363550000001, 0.49011943419999998, 0.49048850719999998, 0.49085936879999997, 0.49123050639999999, 0.49160040579999997, 0.49196757829999999, 0.49233058790000001, 0.49258954729999999, 0.49251343019999999, 0.49243922020000003, 0.49236677359999997, 0.49229594560000001, 0.4922265911, 0.49215856569999999, 0.49209172680000002, 0.49202593569999997, 0.4919610586, 0.49189696929999999, 0.4918335513, 0.49177070099999998, 0.49170833089999999, 0.49164637329999999, 0.49158478449999998, 0.49152354860000003, 0.49146268279999999, 0.49140224129999999, 0.4913423193, 0.49128305700000002, 0.49122464179999997, 0.4911673097, 0.49111134490000002, 0.49105707710000002, 0.49100487780000002, 0.49095515270000001, 0.4909083333, 0.4908648659, 0.49082519949999998, 0.49078977280000002, 0.490759, 0.49073325829999997, 0.49071287489999998, 0.49069811679999997, 0.49068918109999998, 0.49068618889999999, 0.4906867768, 0.49068854090000003, 0.49069148309999999, 0.49069560639999998, 0.4907009148, 0.49070741369999998, 0.49071510969999999, 0.49072401040000002, 0.49073412490000001, 0.49074546320000001, 0.49075803680000002, 0.49077185820000002, 0.49078694150000002, 0.49080330170000003, 0.49082095510000001, 0.49083991960000001, 0.49086021410000003, 0.49088185870000001, 0.49090487519999998, 0.49092928629999999, 0.49095511629999999, 0.49098239069999999, 0.49101113610000002, 0.49104138079999998, 0.4910731539, 0.49110648620000003, 0.4911414093, 0.49117795619999999, 0.49121616089999998, 0.49125605830000002, 0.4912976845, 0.49134107599999999, 0.49138627019999997, 0.49143330470000002, 0.49148221759999999, 0.49153304679999998, 0.49158582979999998, 0.49164060339999999, 0.49169740319999999, 0.49175626319999999, 0.49181721519999999, 0.49188028769999997, 0.49194550570000001, 0.49201288939999999, 0.49208245319999999, 0.49215420450000003, 0.49222814209999999, 0.49230425490000002, 0.4923825201, 0.49246290050000002, 0.49254534329999999, 0.49262977650000001, 0.49271610669999999, 0.49280421619999998, 0.49289395930000002, 0.49298515910000001, 0.49307760430000003, 0.4931710453, 0.49326519149999998, 0.49335970829999998, 0.4934542153, 0.49354828579999999, 0.49364144770000001, 0.4937331868, 0.49382295269999998, 0.4939101682, 0.49399424149999999, 0.49407458240000002, 0.49415062059999998, 0.49422182590000002, 0.49428772850000002, 0.49434793710000002, 0.49440215370000001, 0.49445018299999999, 0.49449193489999999, 0.49452742179999998, 0.49455674919999998, 0.49458010299999999, 0.49459773420000003, 0.49460994209999998, 0.49461705950000001, 0.4946194384, 0.49461743809999997, 0.49461141669999997, 0.49460172340000003, 0.494588694, 0.49457264810000001, 0.49455388690000002, 0.49453269309999998, 0.49450933070000003, 0.49448404600000001, 0.49445706839999998, 0.49442861160000001, 0.49439887539999999, 0.49436804629999997, 0.49433629959999997, 0.49430380010000002, 0.49427070379999999, 0.49423715839999999, 0.49420330470000001, 0.49416927729999999, 0.49413520550000001, 0.49410121400000001, 0.49406742329999997, 0.49403395030000002, 0.49400090870000002, 0.49396840959999999, 0.493936561, 0.49390546880000002, 0.49387523630000002, 0.4938459644, 0.49381775179999998, 0.49379069409999998, 0.4937648845, 0.49374041289999998, 0.49371736589999998, 0.49369582620000002, 0.4936758725, 0.49365757859999998, 0.49364101339999999, 0.49362623999999999, 0.49361331580000001, 0.49360229119999999, 0.49359321, 0.4935861084, 0.49358101519999997, 0.49357795100000001, 0.49357692819999999, 0.49357795100000001, 0.49358101519999997, 0.4935861084, 0.4935932099, 0.49360229119999999, 0.4936133157, 0.49362623999999999, 0.49364101329999999, 0.49365757859999998, 0.4936758725, 0.49369582620000002, 0.49371736589999998, 0.49374041289999998, 0.49376488439999999, 0.49379069409999998, 0.49381775169999997, 0.4938459644, 0.49387523630000002, 0.49390546880000002, 0.493936561, 0.49396840959999999, 0.49400090880000003, 0.49403395030000002, 0.49406742329999997, 0.49410121410000002, 0.49413520560000002, 0.4941692774, 0.49420330480000002, 0.4942371586, 0.49427070410000001, 0.49430380039999999, 0.4943362999, 0.4943680466, 0.49439887580000003, 0.4944286121, 0.49445706890000002, 0.4944840466, 0.49450933130000002, 0.49453269379999998, 0.49455388760000002, 0.49457264890000002, 0.49458869490000001, 0.49460172429999999, 0.49461141780000001, 0.49461743930000002, 0.49461943959999999, 0.49461706080000001, 0.49460994349999998, 0.49459773569999999, 0.49458010450000001, 0.49455675049999998, 0.49452742290000001, 0.49449193590000001, 0.4944501838, 0.49440215430000001, 0.4943479375, 0.49428772879999999, 0.49422182609999998, 0.49415062059999998, 0.4940745822, 0.49399424120000002, 0.49391016770000001, 0.4938229522, 0.49373318620000001, 0.49364144700000001, 0.49354828499999998, 0.49345421439999998, 0.49335970730000001, 0.49326519050000001, 0.49317104430000003, 0.4930776033, 0.49298515809999999, 0.49289395819999998, 0.4928042151, 0.49271610560000001, 0.49262977530000002, 0.49254534210000001, 0.49246289939999999, 0.49238251890000001, 0.49230425379999998, 0.4922281409, 0.49215420329999998, 0.492082452, 0.4920128882, 0.49194550450000002, 0.49188028649999999, 0.491817214, 0.49175626210000001, 0.49169740200000001, 0.4916406022, 0.4915858287, 0.4915330457, 0.49148221650000001, 0.49143330359999998, 0.49138626909999999, 0.49134107490000001, 0.49129768340000002, 0.49125605719999998, 0.4912161598, 0.49117795510000001, 0.49114140820000002, 0.49110648509999999, 0.49107315280000002, 0.4910413797, 0.4910111351, 0.49098238960000001, 0.49095511530000002, 0.49092928530000002, 0.49090487420000001, 0.49088185769999998, 0.49086021299999999, 0.49083991859999998, 0.49082095409999998, 0.49080330059999999, 0.49078694049999999, 0.49077185719999999, 0.49075803569999998, 0.49074546209999997, 0.49073412379999998, 0.49072400939999999, 0.49071510870000001, 0.49070741270000001, 0.49070091380000003, 0.49069560540000001, 0.49069148210000002, 0.4906885399, 0.49068677570000002, 0.49068618790000001, 0.49068648180000002, 0.49068736349999997, 0.49068883299999999, 0.49069089020000001, 0.49069353519999998, 0.49069676779999999, 0.4907005881, 0.4907049959, 0.49070999119999997, 0.49071557389999998, 0.4907217438, 0.49072850089999998, 0.490735845, 0.49074377609999997, 0.49075229380000002, 0.49076139810000002, 0.49077108879999998, 0.49078136560000002, 0.49079222830000002, 0.49080367670000002, 0.4908157105, 0.49082832939999999, 0.49084153320000001, 0.49085532129999998, 0.49086969359999999, 0.4908846496, 0.49090018889999998, 0.49091631099999999, 0.49093301550000001, 0.49095030179999999, 0.49096816939999999, 0.49098661770000002, 0.49100564610000003, 0.49102525390000001, 0.49104544039999998, 0.49106620490000003, 0.49108754650000003, 0.49110946439999997, 0.49113195780000002, 0.49115502560000002, 0.4911786669, 0.4912028806, 0.49122766559999997, 0.49125302069999999, 0.49127894459999999, 0.49130543599999998, 0.49133249359999998, 0.49136011590000001, 0.4913883013, 0.49141704829999999, 0.491446355, 0.49147621990000001, 0.49150664090000001, 0.49153761610000002, 0.49156914350000003, 0.49160122090000002, 0.49163384609999999, 0.49166701670000001, 0.49170073019999999, 0.49173498409999999, 0.49176977560000001, 0.49180510199999999, 0.49184096030000002, 0.49187734750000001, 0.49191426030000002, 0.49195169550000001, 0.49198964950000001, 0.49202811870000002, 0.49206709949999999, 0.49210658779999999, 0.49214657960000002, 0.49218707070000001, 0.49222805660000002, 0.49226953289999997, 0.49231149480000003, 0.49235393729999999, 0.49239685550000001, 0.49244024390000002, 0.49248409720000003, 0.49252840980000001, 0.49257317569999998, 0.49261838899999999, 0.49266404339999997, 0.49271013260000002, 0.49275665000000002, 0.49280358880000003, 0.49285094200000001, 0.49289870260000002, 0.49294686329999998, 0.49299541660000001, 0.49304435499999999, 0.49309367079999999, 0.4931433563, 0.49319340360000002, 0.49324380480000002, 0.49329455189999999, 0.49334563720000002, 0.49339705270000001, 0.49344879069999997, 0.49350084360000002, 0.49355320409999998, 0.49360586480000002, 0.49365881900000003, 0.49371206010000002, 0.49376558180000002, 0.49381937850000002, 0.4938734447, 0.49392777560000001, 0.49398236680000002, 0.49403721430000003, 0.49409231460000003, 0.49414766469999999, 0.4942032616, 0.49425910280000002, 0.49431518590000001, 0.49437150839999999, 0.49442806769999997, 0.49448486089999999, 0.49454188449999997, 0.49459913459999999, 0.49465660620000002, 0.49471429350000001, 0.49477218969999998, 0.4948302866, 0.49488857489999999, 0.49494704379999999, 0.4950056813, 0.49506447419999999, 0.49524163180000003, 0.49541959279999997, 0.49559783229999999, 0.49577578459999999, 0.49595286919999998, 0.49612850749999998, 0.49630213159999997, 0.49647318550000002, 0.49664112430000001, 0.49680541030000003, 0.49696551020000002, 0.49712089240000001, 0.4972710253, 0.49741537679999998, 0.49755341400000003, 0.49768460409999998, 0.49780841510000001, 0.49792431700000001, 0.49803178269999998, 0.49813028809999998, 0.49821931130000002, 0.49829832969999999, 0.49836681430000002, 0.498424219, 0.49846996269999999, 0.49850339980000002, 0.4985237743, 0.49853014579999999, 0.49852127629999998, 0.49849545629999997, 0.4984502509, 0.49838216149999998, 0.49828628019999999, 0.49815624590000002, 0.4979852078, 0.49776852240000002, 0.49750724400000002, 0.49720906599999998, 0.49688513049999999, 0.49654581650000001, 0.49619863510000001, 0.4958481917, 0.49549695110000003, 0.49514602829999999, 0.4947957764, 0.49444617289999998, 0.4940970623, 0.49374830269999997, 0.49339985219999999, 0.49305181860000002, 0.49270448579999998, 0.4923583272, 0.492014012, 0.49167240849999999, 0.49133458670000002, 0.49100182329999997, 0.49067560850000003, 0.49035765619999999, 0.49004991609999998, 0.48975458770000002, 0.48947413140000001, 0.48921127380000001, 0.48896899980000003, 0.48875052250000001, 0.48855921899999999, 0.48839852420000002, 0.4882717734, 0.48818200090000002, 0.48813171039999997, 0.48812265510000002, 0.4881556708, 0.4882306032, 0.48834634859999998, 0.48850099650000001, 0.48869204049999998, 0.4889166096, 0.4891716814, 0.48945425209999999, 0.4897614548, 0.4900906304, 0.49043935970000002, 0.49080546889999999, 0.49118701770000001, 0.49158227809999999, 0.491989709, 0.49240792919999998, 0.49283569259999999, 0.49327186470000001, 0.49371540200000003, 0.4941653338, 0.49462074649999999, 0.49508077010000001, 0.49554456679999997, 0.49601132069999998, 0.49648022949999998, 0.49695049740000002, 0.49742132820000001, 0.49789192049999997, 0.4983614623, 0.49882912750000002, 0.49929407149999999, 0.49975542899999997, 0.50021231050000003, 0.50066380089999996, 0.50110895740000005, 0.50154680829999998, 0.50197635279999997, 0.50239656079999995, 0.50280637419999996, 0.50320470809999995, 0.50359045400000002, 0.50396248320000003, 0.50431965199999995, 0.50466080749999997, 0.50498479510000005, 0.5052904667, 0.50557669080000001, 0.50584236230000001, 0.50608641499999996, 0.50630783290000003, 0.50650566299999999, 0.50667902779999996, 0.50682713759999998, 0.50694930179999997, 0.50704493939999995, 0.50711358870000001, 0.50715491410000002, 0.50716871109999995, 0.5071596142, 0.50713235079999996, 0.50708701489999997, 0.50702376019999995, 0.50694280020000004, 0.50684440659999996, 0.50672890719999997, 0.50659668319999995, 0.50644816690000005, 0.50628383809999999, 0.50610422089999996, 0.50590988010000004, 0.50570141749999997, 0.50547946789999998, 0.50524469540000005, 0.50499778930000006, 0.50473946020000005, 0.50447043599999997, 0.50419145870000004, 0.50390328009999996, 0.5036066588, 0.50330235670000001, 0.50299113610000001, 0.50267375660000002, 0.50235097230000003, 0.5020235301, 0.50169216630000002, 0.50135760569999999, 0.50102055889999997, 0.5006817214, 0.50034177170000005, 0.50000137030000003, 0.49966115859999999, 0.499321758, 0.49898376919999998, 0.49864777189999998, 0.4983143236, 0.49798396020000002, 0.497657195, 0.49733451899999997, 0.49701640079999998, 0.4967032864, 0.49639559970000002, 0.49609374220000002, 0.49579809330000002, 0.495509011, 0.49522683150000002, 0.4949518698, 0.49468442029999998, 0.49442475660000001, 0.49417313219999998, 0.49392978069999999, 0.49369491630000001, 0.49346873400000002, 0.49325141010000001, 0.4930431025, 0.492843951, 0.49265407760000002, 0.49247358689999998, 0.4923025667, 0.49214108760000003, 0.49198920410000002, 0.49184695410000001, 0.4917143598, 0.49159142779999998, 0.49147814899999998, 0.49137449919999998, 0.49128043919999997, 0.49119591489999997, 0.49112085760000002, 0.4910551843, 0.49099879749999997, 0.49095158570000003, 0.49091342339999999, 0.49088417130000001, 0.4908636764, 0.49085177209999997, 0.49084827850000001, 0.49085300250000002, 0.49086573770000003, 0.49088626480000003, 0.49091435169999997, 0.4909497538, 0.49099221380000002, 0.49104146230000001, 0.49109721769999998, 0.49115918679999998, 0.49122706449999998, 0.49130053499999998, 0.49137927100000001, 0.49146293489999998, 0.4915511789, 0.49164364560000001, 0.49173996809999998, 0.49183977080000002, 0.4919426704, 0.49204827550000002, 0.49215618849999998, 0.49226600549999999, 0.49237731750000002, 0.49248971130000002, 0.49260277009999998, 0.49271607519999999, 0.49282920650000001, 0.49294174390000001, 0.49305326840000002, 0.49316336360000002, 0.49327161689999999, 0.49337762080000003, 0.49348097439999999, 0.4935812852, 0.49367816990000002, 0.49377125669999999, 0.4938601862, 0.49394461360000003, 0.49402420940000003, 0.4940986617, 0.49416767709999998, 0.49423098259999998, 0.49428832649999999, 0.49433947979999998, 0.49438423770000001, 0.49442242019999999, 0.49445387340000002, 0.49447847020000002, 0.49449611100000002, 0.49450672420000003, 0.49451026669999998], [0.50716871340000003, 0.5071560718, 0.50711817859999997, 0.5070551566, 0.50696720449999999, 0.50685459769999996, 0.50671768569999998, 0.50655688860000003, 0.50637269350000003, 0.50616564980000001, 0.5059363644, 0.50568549669999996, 0.50541375310000003, 0.50512188130000002, 0.50481066500000005, 0.50448091829999997, 0.50413348039999994, 0.50376921019999998, 0.50338898160000001, 0.50299367890000002, 0.50258419249999997, 0.50216141530000002, 0.50172623940000005, 0.50127955300000004, 0.50082223839999995, 0.50035516989999995, 0.49987921260000001, 0.49939522190000002, 0.49890404269999999, 0.49840651029999999, 0.49790345079999998, 0.49739568290000002, 0.49688401980000002, 0.49636927199999997, 0.49585225030000002, 0.49533376979999999, 0.4948146551, 0.49429574500000001, 0.49377789909999997, 0.493262005, 0.49274898620000002, 0.49223981100000003, 0.49173550290000001, 0.49123715109999999, 0.49074592249999999, 0.49026307450000001, 0.4897899678, 0.48932807900000003, 0.4888790126, 0.48844451010000001, 0.48802645490000002, 0.48762687059999998, 0.48724790969999998, 0.48689182819999999, 0.48656094449999998, 0.48625757780000001, 0.48598396669999999, 0.48574217079999998, 0.48553396129999998, 0.48536071450000001, 0.48522332089999998, 0.48512212809999999, 0.48505692550000001, 0.48502697620000002, 0.48503109020000001, 0.4850677249, 0.48513509919999998, 0.4852313036, 0.48535439590000001, 0.48550247610000002, 0.48567373860000002, 0.48586650269999998, 0.48607922549999999, 0.48631049939999998, 0.4865590407, 0.48682366980000003, 0.48710328689999999, 0.48739684560000002, 0.48770332560000001, 0.48802170630000002, 0.48835094220000003, 0.48868994249999997, 0.4890375548, 0.48939255450000002, 0.48975364069999999, 0.49011943930000001, 0.4904885122, 0.49085937369999999, 0.4912305112, 0.49160041059999998, 0.49196758299999999, 0.49233059239999999, 0.49258954890000001, 0.49251343180000001, 0.49243922179999999, 0.4923667752, 0.49229594719999997, 0.49222659270000002, 0.49215856720000001, 0.49209172829999998, 0.49202593719999999, 0.49196106010000001, 0.49189697069999999, 0.4918335526, 0.49177070229999997, 0.49170833219999999, 0.49164637449999998, 0.49158478560000002, 0.4915235496, 0.49146268380000002, 0.49140224220000001, 0.49134232010000001, 0.49128305770000003, 0.49122464249999997, 0.49116731029999999, 0.4911113453, 0.49105707749999999, 0.49100487809999999, 0.49095515290000002, 0.49090833340000001, 0.4908648659, 0.49082519959999998, 0.49078977289999998, 0.49075900010000001, 0.49073325839999998, 0.49071287520000001, 0.4906981171, 0.49068918140000001, 0.49068618920000001, 0.49068677710000003, 0.49068854119999999, 0.49069148340000002, 0.49069560670000001, 0.49070091510000002, 0.49070741400000001, 0.49071511000000001, 0.49072401069999999, 0.49073412509999997, 0.49074546349999998, 0.49075803709999999, 0.49077185849999999, 0.49078694179999999, 0.490803302, 0.49082095549999999, 0.49083991989999998, 0.49086021439999999, 0.49088185909999998, 0.4909048755, 0.49092928670000002, 0.49095511670000003, 0.49098239100000002, 0.4910111365, 0.49104138110000001, 0.49107315429999998, 0.49110648649999999, 0.49114140969999998, 0.49117795660000002, 0.4912161612, 0.4912560587, 0.49129768489999998, 0.49134107640000002, 0.49138627060000001, 0.4914333051, 0.49148221809999998, 0.49153304730000003, 0.49158583020000002, 0.49164060380000002, 0.49169740369999998, 0.49175626369999997, 0.49181721569999998, 0.49188028820000002, 0.49194550619999999, 0.49201288999999998, 0.49208245379999999, 0.49215420510000002, 0.49222814269999998, 0.49230425560000002, 0.4923825208, 0.49246290129999998, 0.492545344, 0.49262977730000002, 0.49271610760000001, 0.4928042171, 0.49289396019999998, 0.49298516009999999, 0.49307760540000001, 0.49317104649999999, 0.49326519270000002, 0.49335970950000002, 0.4934542166, 0.4935482873, 0.49364144929999998, 0.49373318840000002, 0.49382295450000002, 0.49391016999999998, 0.49399424349999999, 0.49407458450000002, 0.49415062279999999, 0.4942218283, 0.4942877309, 0.49434793960000001, 0.49440215640000001, 0.49445018569999999, 0.4944919378, 0.4945274247, 0.4945567522, 0.49458010610000003, 0.49459773730000001, 0.49460994520000001, 0.4946170627, 0.49461944159999999, 0.49461744140000002, 0.49461142000000002, 0.49460172670000002, 0.4945886974, 0.49457265150000002, 0.49455389030000002, 0.49453269649999998, 0.49450933419999998, 0.49448404950000002, 0.49445707189999999, 0.49442861519999998, 0.49439887890000001, 0.49436804979999999, 0.49433630319999999, 0.4943038038, 0.49427070750000002, 0.49423716210000002, 0.49420330829999998, 0.49416928100000002, 0.49413520919999998, 0.49410121779999999, 0.49406742710000001, 0.49403395410000001, 0.49400091260000001, 0.49396841349999998, 0.49393656489999999, 0.49390547270000001, 0.49387524030000002, 0.49384596850000001, 0.49381775579999998, 0.49379069819999999, 0.49376488860000001, 0.49374041699999999, 0.4937173701, 0.49369583039999998, 0.49367587670000002, 0.4936575829, 0.49364101760000001, 0.49362624430000002, 0.49361332009999997, 0.49360229550000001, 0.49359321430000003, 0.49358611279999998, 0.4935810196, 0.49357795539999999, 0.49357693260000002, 0.49357795539999999, 0.4935810196, 0.49358611279999998, 0.49359321430000003, 0.49360229550000001, 0.49361332009999997, 0.49362624440000002, 0.49364101770000002, 0.4936575829, 0.49367587680000002, 0.49369583049999999, 0.4937173701, 0.4937404171, 0.49376488860000001, 0.49379069819999999, 0.49381775579999998, 0.49384596850000001, 0.49387524030000002, 0.49390547270000001, 0.49393656489999999, 0.49396841339999997, 0.4940009125, 0.494033954, 0.494067427, 0.49410121759999998, 0.49413520909999997, 0.4941692808, 0.49420330820000002, 0.49423716179999999, 0.49427070719999999, 0.49430380350000003, 0.49433630280000002, 0.49436804950000002, 0.49439887850000003, 0.49442861469999999, 0.4944570714, 0.49448404899999998, 0.49450933359999999, 0.49453269579999998, 0.49455388960000002, 0.4945726506, 0.49458869649999998, 0.4946017258, 0.494611419, 0.49461744029999999, 0.4946194404, 0.4946170614, 0.49460994380000001, 0.49459773579999999, 0.49458010460000001, 0.49455675090000001, 0.49452742360000002, 0.49449193679999998, 0.49445018489999998, 0.49440215570000001, 0.49434793919999998, 0.49428773059999997, 0.49422182809999998, 0.4941506229, 0.49407458469999999, 0.49399424380000001, 0.49391017050000002, 0.49382295500000001, 0.49373318910000003, 0.49364144999999998, 0.49354828810000001, 0.49345421750000001, 0.49335971049999999, 0.49326519369999999, 0.49317104750000001, 0.49307760639999998, 0.49298516120000002, 0.49289396140000002, 0.49280421819999998, 0.49271610869999999, 0.4926297784, 0.49254534519999998, 0.49246290240000001, 0.49238252189999998, 0.49230425680000001, 0.49222814390000003, 0.4921542062, 0.49208245499999997, 0.49201289110000002, 0.49194550739999998, 0.4918802894, 0.49181721680000001, 0.49175626490000002, 0.49169740480000002, 0.49164060500000001, 0.49158583140000001, 0.49153304840000001, 0.49148221920000001, 0.49143330629999998, 0.49138627169999999, 0.4913410775, 0.49129768600000001, 0.49125605979999998, 0.49121616229999998, 0.49117795759999999, 0.4911414107, 0.49110648759999997, 0.49107315530000001, 0.49104138219999999, 0.49101113749999997, 0.4909823921, 0.4909551177, 0.49092928769999999, 0.49090487659999998, 0.49088186010000001, 0.49086021540000002, 0.49083992100000001, 0.49082095650000002, 0.49080330300000002, 0.49078694280000001, 0.49077185960000003, 0.49075803810000002, 0.49074546450000001, 0.49073412620000001, 0.49072401170000002, 0.49071511099999998, 0.49070741499999998, 0.4907009161, 0.49069560769999998, 0.4906914845, 0.49068854220000002, 0.4906867781, 0.49068619019999998, 0.49068648409999999, 0.4906873658, 0.49068883530000001, 0.49069089259999998, 0.4906935375, 0.49069677020000002, 0.49070059040000003, 0.49070499820000002, 0.4907099935, 0.4907155762, 0.49072174610000002, 0.4907285032, 0.49073584739999998, 0.4907437784, 0.49075229609999999, 0.49076140039999999, 0.4907710911, 0.49078136789999999, 0.49079223059999999, 0.49080367899999999, 0.49081571280000003, 0.49082833180000002, 0.49084153549999998, 0.49085532370000001, 0.49086969590000001, 0.49088465190000002, 0.4909001912, 0.49091631330000002, 0.49093301779999998, 0.49095030410000001, 0.49096817170000001, 0.49098661999999998, 0.49100564829999999, 0.49102525619999998, 0.4910454427, 0.49106620709999999, 0.4910875488, 0.4911094667, 0.49113196009999999, 0.49115502789999999, 0.49117866919999997, 0.49120288290000003, 0.4912276679, 0.4912530229, 0.49127894690000001, 0.49130543830000001, 0.4913324959, 0.49136011819999997, 0.49138830360000002, 0.49141705050000001, 0.49144635730000003, 0.49147622210000003, 0.49150664309999997, 0.49153761829999998, 0.49156914569999999, 0.49160122309999998, 0.49163384830000001, 0.49166701889999997, 0.49170073240000001, 0.49173498630000001, 0.49176977779999997, 0.49180510420000001, 0.49184096249999998, 0.49187734970000002, 0.49191426249999998, 0.49195169770000002, 0.49198965169999997, 0.49202812089999998, 0.49206710170000001, 0.49210659000000001, 0.49214658179999998, 0.49218707290000002, 0.49222805889999999, 0.4922695352, 0.49231149699999999, 0.49235393960000001, 0.49239685770000002, 0.49244024619999999, 0.49248409949999999, 0.49252841200000003, 0.49257317789999999, 0.49261839120000001, 0.4926640457, 0.49271013489999999, 0.49275665229999999, 0.49280359099999999, 0.49285094429999998, 0.49289870489999998, 0.49294686560000001, 0.49299541889999998, 0.49304435730000001, 0.49309367320000003, 0.49314335860000003, 0.49319340589999999, 0.49324380709999999, 0.49329455430000002, 0.49334563949999999, 0.49339705499999997, 0.4934487931, 0.49350084599999999, 0.49355320650000001, 0.49360586719999999, 0.4936588214, 0.49371206249999999, 0.4937655843, 0.49381938089999999, 0.49387344719999998, 0.49392777809999999, 0.4939823693, 0.49403721680000001, 0.49409231710000001, 0.49414766719999997, 0.49420326409999998, 0.4942591053, 0.4943151885, 0.49437151099999999, 0.49442807030000002, 0.49448486339999997, 0.49454188710000002, 0.49459913709999997, 0.4946566087, 0.494714296, 0.49477219220000002, 0.49483028909999999, 0.49488857739999997, 0.49494704630000003, 0.49500568389999999, 0.49506447669999998, 0.49524163430000001, 0.49541959540000002, 0.49559783480000003, 0.49577578709999998, 0.49595287170000002, 0.49612851009999998, 0.49630213410000001, 0.49647318810000002, 0.49664112690000001, 0.49680541290000002, 0.49696551280000001, 0.49712089510000002, 0.497271028, 0.49741537959999998, 0.49755341689999999, 0.497684607, 0.49780841799999997, 0.49792431999999998, 0.49803178570000001, 0.49813029110000001, 0.49821931429999999, 0.49829833280000002, 0.4983668175, 0.49842422219999999, 0.49846996589999998, 0.49850340310000002, 0.4985237776, 0.49853014909999999, 0.49852127959999998, 0.49849545969999998, 0.49845025430000001, 0.49838216480000003, 0.49828628339999997, 0.49815624889999999, 0.49798521070000001, 0.49776852519999998, 0.49750724670000002, 0.49720906869999998, 0.4968851333, 0.49654581930000002, 0.49619863800000003, 0.49584819460000001, 0.49549695389999998, 0.4951460312, 0.49479577920000001, 0.49444617569999999, 0.49409706510000001, 0.49374830549999998, 0.493399855, 0.49305182130000003, 0.49270448849999998, 0.4923583299, 0.4920140147, 0.49167241109999998, 0.49133458930000001, 0.49100182590000002, 0.49067561110000002, 0.49035765879999998, 0.49004991869999998, 0.48975459030000001, 0.48947413400000001, 0.48921127640000001, 0.48896900250000003, 0.48875052520000001, 0.4885592218, 0.48839852700000003, 0.48827177630000002, 0.48818200389999999, 0.48813171350000001, 0.4881226582, 0.48815567389999998, 0.48823060639999999, 0.48834635180000002, 0.4885009998, 0.48869204389999998, 0.488916613, 0.48917168480000001, 0.48945425539999998, 0.4897614582, 0.49009063380000001, 0.49043936310000003, 0.49080547229999999, 0.49118702110000001, 0.4915822815, 0.4919897124, 0.49240793249999998, 0.49283569589999998, 0.49327186810000001, 0.49371540539999997, 0.4941653372, 0.49462074989999999, 0.49508077350000002, 0.49554457019999998, 0.49601132409999998, 0.49648023289999998, 0.49695050079999997, 0.49742133160000002, 0.49789192389999998, 0.49836146580000001, 0.49882913089999997, 0.4992940749, 0.49975543239999998, 0.50021231389999998, 0.50066380440000002, 0.5011089608, 0.50154681170000004, 0.50197635620000003, 0.50239656430000001, 0.50280637760000002, 0.50320471150000001, 0.50359045739999997, 0.50396248659999998, 0.50431965540000001, 0.50466081090000003, 0.5049847985, 0.50529047010000006, 0.50557669419999995, 0.50584236569999996, 0.50608641840000002, 0.50630783629999998, 0.50650566640000005, 0.50667903120000002, 0.50682714100000004, 0.50694930520000003, 0.50704494280000001, 0.50711359209999995, 0.50715491749999997, 0.50716871340000003, 0.5071596169, 0.50713235349999997, 0.50708701759999997, 0.50702376289999995, 0.50694280290000004, 0.50684440929999997, 0.50672890979999996, 0.50659668589999995, 0.50644816960000005, 0.5062838408, 0.50610422359999996, 0.50590988280000004, 0.50570142009999997, 0.50547947059999998, 0.50524469809999994, 0.50499779190000005, 0.50473946280000004, 0.50447043859999996, 0.50419146130000003, 0.50390328269999995, 0.50360666139999999, 0.5033023593, 0.50299113870000001, 0.50267375910000001, 0.50235097490000002, 0.50202353259999999, 0.5016921688, 0.50135760819999997, 0.50102056139999995, 0.50068172389999999, 0.50034177420000003, 0.5000013727, 0.49966116100000002, 0.49932176039999998, 0.49898377160000001, 0.4986477742, 0.49831432599999997, 0.49798396249999999, 0.49765719730000002, 0.4973345213, 0.4970164031, 0.49670328870000002, 0.49639560199999999, 0.49609374439999998, 0.49579809559999999, 0.49550901320000001, 0.49522683369999998, 0.49495187210000002, 0.49468442260000001, 0.49442475879999997, 0.49417313439999999, 0.4939297829, 0.49369491850000002, 0.49346873619999998, 0.49325141230000003, 0.49304310470000001, 0.49284395310000001, 0.49265407970000002, 0.49247358899999999, 0.49230256880000001, 0.49214108969999998, 0.49198920610000002, 0.49184695610000001, 0.49171436190000001, 0.49159142979999998, 0.49147815099999997, 0.49137450119999998, 0.49128044119999997, 0.49119591689999997, 0.49112085960000001, 0.4910551863, 0.49099879950000003, 0.49095158770000003, 0.49091342539999999, 0.4908841732, 0.49086367829999999, 0.49085177400000002, 0.4908482804, 0.49085300440000001, 0.49086573960000002, 0.49088626670000002, 0.49091435369999997, 0.49094975569999999, 0.49099221570000001, 0.4910414642, 0.49109721960000002, 0.49115918870000003, 0.49122706649999998, 0.49130053689999997, 0.4913792729, 0.49146293680000003, 0.4915511809, 0.4916436475, 0.49173997000000003, 0.49183977280000002, 0.49194267229999999, 0.49204827750000002, 0.49215619049999998, 0.49226600749999999, 0.49237731950000002, 0.49248971320000001, 0.49260277200000002, 0.49271607709999998, 0.4928292084, 0.4929417458, 0.49305327030000001, 0.49316336560000001, 0.49327161879999998, 0.49337762270000002, 0.49348097639999999, 0.49358128709999999, 0.49367817190000002, 0.49377125859999998, 0.49386018819999999, 0.49394461550000002, 0.49402421140000002, 0.49409866359999999, 0.49416767909999998, 0.49423098459999998, 0.49428832849999998, 0.49433948179999998, 0.49438423970000001, 0.49442242219999999, 0.49445387540000002, 0.49447847220000002, 0.49449611300000001, 0.49450672620000002, 0.49451026869999998], [0.50716871399999996, 0.50716370799999999, 0.50714870339999996, 0.50712373389999998, 0.50708885650000002, 0.50704415049999996, 0.50698971680000005, 0.50692567749999995, 0.50685217469999999, 0.50676937030000002, 0.50667744400000003, 0.50657659330000004, 0.50646703179999997, 0.50634898809999995, 0.506222705, 0.50608843790000002, 0.50594645400000005, 0.50579703099999995, 0.50564045619999998, 0.50547702520000004, 0.50530704100000001, 0.50513081309999996, 0.50494865629999997, 0.50476089000000002, 0.5045678375, 0.50436982480000003, 0.50416717990000004, 0.50396023239999999, 0.50374931219999997, 0.50353474939999998, 0.50331687300000005, 0.50309601079999999, 0.50287248839999998, 0.50264662879999999, 0.50241875170000005, 0.50218917279999997, 0.50195820349999998, 0.5017261502, 0.50149331360000005, 0.50125998869999999, 0.50102646370000004, 0.50079301990000002, 0.50055993109999997, 0.50032746340000001, 0.50009587450000004, 0.49986541330000001, 0.49963632009999998, 0.49940882549999999, 0.49918315050000001, 0.49895950649999998, 0.49873809450000001, 0.49851910529999999, 0.49830271920000002, 0.49808910579999999, 0.49787842399999999, 0.49767082200000001, 0.49746643689999998, 0.497265395, 0.49706781189999999, 0.49687379230000001, 0.49668342989999997, 0.49649680800000001, 0.49631399929999998, 0.49613506610000002, 0.49596006040000001, 0.49578902419999998, 0.49562198969999999, 0.49545897929999999, 0.49530000600000001, 0.4951450738, 0.49499417750000002, 0.4948473035, 0.4947044297, 0.4945655256, 0.49443055320000001, 0.49429946670000002, 0.49417221300000003, 0.49404873179999997, 0.49392895619999999, 0.49381281249999998, 0.49370022089999999, 0.49359109550000002, 0.49348534449999998, 0.49338287060000002, 0.49328357099999998, 0.49318733799999998, 0.49309405880000001, 0.49300361619999999, 0.49291588819999999, 0.49283074900000001, 0.49274806859999998, 0.4926677136, 0.492688077, 0.49303878960000003, 0.4933815889, 0.4937154715, 0.49403957479999999, 0.49435318010000001, 0.49465571089999999, 0.49494672670000001, 0.4952259141, 0.4954930749, 0.49574811359999998, 0.49599102309999998, 0.4962218712, 0.49644078699999999, 0.49664794810000001, 0.49684356950000003, 0.49702789260000002, 0.49720117629999999, 0.49736368939999998, 0.497515704, 0.49765748990000003, 0.49778931030000001, 0.49791141840000003, 0.49802405500000002, 0.49812744619999999, 0.49822180230000002, 0.49830731659999999, 0.49838416530000001, 0.4984525071, 0.49851248269999998, 0.49856421579999999, 0.49860781250000002, 0.49864336209999999, 0.4986709372, 0.49869059389999998, 0.498702372, 0.49870629529999999, 0.49870749310000001, 0.4987109508, 0.49871620290000002, 0.49872229420000003, 0.49872770249999998, 0.49873086020000001, 0.49873113470000002, 0.4987288741, 0.49872467129999998, 0.49871897529999998, 0.49871206689999997, 0.49870411650000002, 0.49869523049999998, 0.4986854785, 0.498674909, 0.49866355810000002, 0.4986514541, 0.49863862069999998, 0.49862507909999998, 0.49861084859999999, 0.49859594829999998, 0.49858039650000002, 0.49856421210000001, 0.4985474144, 0.49853002359999998, 0.49851206050000002, 0.49849354750000002, 0.4984745082, 0.49845496750000001, 0.4984349522, 0.49841449100000002, 0.49839361459999998, 0.49837235600000002, 0.49835075080000002, 0.49832883729999999, 0.49830665689999998, 0.49828425450000002, 0.49826167859999998, 0.498238982, 0.4982162222, 0.49819346170000001, 0.4981707688, 0.49814821840000001, 0.49812589229999998, 0.49810388039999998, 0.49808228160000001, 0.49806120479999999, 0.49804077019999998, 0.49802111049999997, 0.49800237289999999, 0.4979847201, 0.49796833280000002, 0.49795341139999999, 0.49794017870000001, 0.49792888159999998, 0.4979197943, 0.49791322059999998, 0.49790949629999998, 0.4979089914, 0.49791211200000002, 0.4979193012, 0.4979310388, 0.49794783970000001, 0.49797024960000003, 0.49799883880000001, 0.49803419240000002, 0.49807689779999997, 0.4981275282, 0.49818662470000002, 0.49825467629999998, 0.49833209979999998, 0.49841922239999997, 0.49851626729999998, 0.49862334559999999, 0.498740454, 0.49886747869999998, 0.4990042053, 0.4991503323, 0.49930548720000001, 0.49946924329999998, 0.49964113529999998, 0.4998206738, 0.50000735659999995, 0.50020067810000002, 0.50040013559999996, 0.50060523359999998, 0.50081548649999996, 0.50103041930000003, 0.50124956740000004, 0.50147247539999995, 0.50169869540000001, 0.50192778510000002, 0.50215930539999998, 0.5023928178, 0.50262788280000004, 0.50286405680000001, 0.50310089089999999, 0.50333792860000004, 0.50357470419999995, 0.50381074219999999, 0.50404555529999995, 0.50427864479999995, 0.50450949960000002, 0.50473759669999996, 0.50496240120000002, 0.50518336760000004, 0.50539994030000002, 0.50561155599999996, 0.5058176446, 0.50601763209999995, 0.50621094290000002, 0.50639700269999999, 0.50657524170000001, 0.50674509779999999, 0.50690602029999998, 0.50705747369999998, 0.5071989415, 0.50732993010000005, 0.50744997270000003, 0.50755863320000005, 0.50765550979999996, 0.50774023879999997, 0.50781249770000003, 0.50787200799999999, 0.5079185383, 0.50795190609999996, 0.50797197979999997, 0.50797867990000001, 0.50797197979999997, 0.50795190609999996, 0.5079185383, 0.50787200799999999, 0.50781249770000003, 0.50774023879999997, 0.50765550979999996, 0.50755863320000005, 0.50744997270000003, 0.50732993010000005, 0.5071989415, 0.50705747369999998, 0.50690602029999998, 0.50674509779999999, 0.50657524170000001, 0.50639700269999999, 0.50621094290000002, 0.50601763209999995, 0.5058176446, 0.50561155599999996, 0.50539994040000003, 0.50518336760000004, 0.50496240130000003, 0.50473759679999997, 0.50450949970000003, 0.50427864489999996, 0.50404555539999996, 0.5038107423, 0.50357470439999996, 0.50333792879999995, 0.50310089120000001, 0.50286405710000004, 0.50262788309999995, 0.50239281820000004, 0.50215930580000001, 0.50192778559999995, 0.50169869590000005, 0.50147247589999999, 0.50124956799999998, 0.50103041999999998, 0.50081548720000002, 0.50060523440000004, 0.50040013640000003, 0.50020067909999999, 0.50000735770000004, 0.49982067489999998, 0.49964113650000003, 0.49946924459999997, 0.49930548870000002, 0.49915033390000002, 0.49900420670000001, 0.49886747990000002, 0.49874045500000003, 0.4986233464, 0.49851626780000002, 0.49841922280000001, 0.4983321, 0.49825467629999998, 0.49818662450000001, 0.49812752780000003, 0.49807689719999998, 0.49803419170000002, 0.49799883789999999, 0.4979702486, 0.49794783860000003, 0.49793103760000001, 0.4979192999, 0.49791211060000001, 0.49790898989999999, 0.49790949470000001, 0.49791321900000002, 0.49791979269999997, 0.49792887990000001, 0.49794017689999998, 0.49795340970000002, 0.49796833099999999, 0.49798471830000002, 0.49800237110000001, 0.49802110869999999, 0.49804076829999999, 0.4980612029, 0.49808227970000002, 0.49810387849999999, 0.49812589039999999, 0.49814821650000002, 0.49817076690000001, 0.49819345970000001, 0.4982162202, 0.49823898010000001, 0.49826167659999998, 0.49828425259999998, 0.49830665499999999, 0.4983288354, 0.49835074899999998, 0.49837235419999998, 0.4983936128, 0.49841448919999998, 0.49843495040000002, 0.49845496569999997, 0.49847450640000002, 0.49849354579999999, 0.49851205879999999, 0.4985300218, 0.49854741270000003, 0.49856421039999999, 0.49858039469999998, 0.4985959465, 0.49861084690000002, 0.4986250773, 0.49863861900000001, 0.49865145239999997, 0.49866355639999999, 0.49867490739999998, 0.49868547689999998, 0.49869522900000002, 0.49870411510000001, 0.49871206559999998, 0.4987189742, 0.49872467040000001, 0.4987288735, 0.49873113470000002, 0.49873086090000002, 0.49872770389999999, 0.49872229550000002, 0.4987162041, 0.49871095189999998, 0.49870749409999998, 0.49870629640000003, 0.49870689909999999, 0.49870868959999998, 0.49871161009999998, 0.49871555029999998, 0.49872032199999999, 0.49872562440000001, 0.49873101130000003, 0.49873591589999999, 0.49873979959999998, 0.49874237259999998, 0.49874366409999998, 0.49874388629999999, 0.49874327670000002, 0.49874202680000002, 0.49874027370000001, 0.4987381119, 0.4987356067, 0.49873280380000001, 0.49872973609999999, 0.49872642820000002, 0.49872289889999999, 0.49871916309999997, 0.49871523309999999, 0.49871111950000002, 0.49870683129999999, 0.49870237699999997, 0.49869776440000002, 0.49869300080000001, 0.49868809349999998, 0.49868304949999998, 0.49867787590000001, 0.49867257990000002, 0.4986671688, 0.49866165010000002, 0.49865603149999999, 0.49865032100000001, 0.4986445269, 0.4986386579, 0.49863272289999999, 0.49862673140000002, 0.49862069320000002, 0.49861461880000002, 0.49860851880000001, 0.49860240480000001, 0.4985962887, 0.49859018300000002, 0.49858410089999999, 0.49857805649999998, 0.4985720642, 0.49856613960000001, 0.49856029889999998, 0.49855455920000002, 0.49854893859999999, 0.49854345620000001, 0.49853813209999998, 0.49853298769999999, 0.4985280453, 0.4985233288, 0.4985188633, 0.4985146754, 0.49851079320000002, 0.49850724660000001, 0.49850406720000001, 0.49850128859999998, 0.49849894630000002, 0.49849707799999998, 0.49849572399999997, 0.4984949266, 0.4984947314, 0.49849518650000002, 0.49849634310000002, 0.49849825599999997, 0.49850098339999999, 0.49850458730000002, 0.49850913400000002, 0.4985146942, 0.49852134339999998, 0.49852916250000001, 0.49853823759999999, 0.49854866110000001, 0.498560532, 0.49857395609999999, 0.4985890469, 0.49860592590000002, 0.4986247238, 0.49864558040000001, 0.4986686461, 0.49869408230000001, 0.49872206200000002, 0.49875277169999999, 0.49878641099999999, 0.498823195, 0.49886335430000001, 0.49890713660000002, 0.49895480809999998, 0.4990066541, 0.49906298059999998, 0.49912411540000001, 0.49919040910000001, 0.4992622363, 0.49933999639999999, 0.4994241143, 0.49951504099999999, 0.49961325350000002, 0.49971925439999998, 0.4998335713, 0.49995675470000001, 0.50008937590000002, 0.50023202359999996, 0.50038529929999997, 0.5005498115, 0.50072616889999999, 0.50091497220000003, 0.50111680439999995, 0.5013322201, 0.50156173400000004, 0.50180580850000001, 0.50206484119999994, 0.50233915259999995, 0.50262897510000004, 0.50293444239999996, 0.50325558179999996, 0.50359230830000001, 0.50394442129999995, 0.50431160389999996, 0.50469342480000001, 0.50508934230000002, 0.50549870939999997, 0.50679959009999997, 0.50818927950000004, 0.50963533539999994, 0.51109460549999997, 0.51250425820000001, 0.51377160440000003, 0.51479400990000002, 0.51553005839999999, 0.51601882369999996, 0.51631595620000004, 0.51645778610000004, 0.51646333980000003, 0.51634247099999997, 0.51610113830000004, 0.51574421839999995, 0.51527697809999995, 0.51470585859999995, 0.51403888620000004, 0.51328585419999995, 0.5124583399, 0.51156957520000002, 0.51063417359999996, 0.50966771310000003, 0.50868618450000003, 0.50770534, 0.5067400071, 0.50580346170000001, 0.50490696400000001, 0.50405954980000001, 0.5032681323, 0.50253792119999996, 0.50187310340000002, 0.50127763069999998, 0.50075572749999997, 0.50031135439999996, 0.4999458692, 0.49965481099999998, 0.49942715640000002, 0.49924864009999997, 0.49910604510000001, 0.498989346, 0.49889176159999998, 0.49880898429999998, 0.49873837589999997, 0.4986783601, 0.49862801350000002, 0.49858680170000003, 0.49855441169999998, 0.49853064740000003, 0.49851536419999998, 0.49850843039999998, 0.49850970550000001, 0.4985190283, 0.4985362129, 0.4985610486, 0.4985933018, 0.49863271980000001, 0.49867903470000002, 0.4987319677, 0.498791233, 0.49885654109999999, 0.49892760229999999, 0.49900412929999999, 0.49908583909999998, 0.4991724555, 0.49926371019999999, 0.49935934399999998, 0.49945910809999999, 0.49956276459999999, 0.49967008689999998, 0.49978086059999999, 0.49989488310000002, 0.50001196429999994, 0.50013192630000003, 0.50025460330000004, 0.50037984170000005, 0.50050749989999999, 0.50063744779999997, 0.50076956640000003, 0.50090374790000003, 0.50103989469999999, 0.50117791909999998, 0.50131774269999996, 0.50145929560000002, 0.50160251600000005, 0.50174734850000002, 0.50189374399999998, 0.50204165789999999, 0.50219104950000004, 0.50234187969999999, 0.50249411020000001, 0.50264770130000003, 0.50280261000000004, 0.50295878790000004, 0.50311617860000002, 0.50327471530000001, 0.50343431780000003, 0.5035948898, 0.50375631519999997, 0.50391845550000003, 0.50408114589999997, 0.50424419229999995, 0.50440736809999998, 0.5045704111, 0.50473302070000003, 0.50489485599999995, 0.50505553430000005, 0.50521462959999996, 0.50537167329999999, 0.50552615499999998, 0.50567752450000003, 0.5058251949, 0.50596854749999998, 0.50610693689999997, 0.50623969800000002, 0.50636615350000003, 0.50648562259999996, 0.50659743000000002, 0.50670091579999998, 0.50679544499999996, 0.50688041790000005, 0.50695527900000004, 0.50701952650000004, 0.50707272059999997, 0.50711449070000003, 0.5071445416, 0.50716265900000002, 0.50716871399999996, 0.50716457459999997, 0.50715218709999998, 0.5071316266, 0.50710301999999996, 0.50706654269999996, 0.50702241609999998, 0.50697090499999997, 0.50691231439999995, 0.50684698510000004, 0.50677529030000001, 0.50669763069999996, 0.50661442980000004, 0.50652612929999996, 0.50643318429999995, 0.50633605849999996, 0.50623521950000006, 0.50613113480000005, 0.50602426710000004, 0.50591507130000002, 0.50580399060000003, 0.50569145390000003, 0.50557787330000004, 0.50546364219999995, 0.5053491336, 0.50523469919999997, 0.50512066879999995, 0.50500735009999997, 0.50489502860000002, 0.50478396820000004, 0.50467441219999998, 0.50456658369999996, 0.50446068720000004, 0.50435690950000001, 0.50425542150000002, 0.50415637930000001, 0.50405992560000001, 0.50396619170000001, 0.5038752983, 0.50378735730000002, 0.50370247319999994, 0.50362074420000003, 0.50354226329999996, 0.50346711980000003, 0.50339540019999995, 0.50332718890000006, 0.50326256960000004, 0.50320162560000004, 0.50314444079999998, 0.50309110040000005, 0.50304169099999996, 0.50299630179999999, 0.50295502439999995, 0.50291795340000001, 0.50288518670000004, 0.50285682549999999, 0.50283297490000001, 0.50281374329999995, 0.50279924320000002, 0.50278959020000002, 0.50278490360000005, 0.50278530590000003, 0.50279092219999999, 0.50280188029999995, 0.50281830949999995, 0.50284034070000005, 0.50286810479999999, 0.50290173240000002, 0.50294135240000004, 0.50298709090000004, 0.50303906980000002, 0.50309740540000003, 0.50316220619999996, 0.50323357170000005, 0.50331158970000001, 0.50339633480000001, 0.5034878652, 0.50358622119999996, 0.50369142209999995, 0.50380346369999995, 0.50392231620000005, 0.50404792109999996, 0.50418018949999999, 0.50431899950000003, 0.50446419480000004, 0.50461558259999995, 0.50477293339999996, 0.50493597970000004, 0.50510441589999999, 0.50527789950000002, 0.50545605140000005, 0.50563845809999997, 0.50582467360000005, 0.50601422259999995, 0.50620660289999997, 0.50640128979999999, 0.50659773959999999, 0.50679539350000002, 0.50699368199999995, 0.5071920285, 0.50738985380000001, 0.50758657959999998, 0.50778163170000001, 0.50797444349999998, 0.50816445880000005, 0.50835113389999997, 0.50853393999999996, 0.50871236460000002, 0.5088859134, 0.50905411069999995, 0.50921650110000005, 0.50937264940000004, 0.50952214179999999, 0.50966458579999996, 0.50979961080000002, 0.50992686850000002, 0.51004603270000004, 0.51015679979999995, 0.51025888929999996, 0.51035204359999997, 0.51043602840000002, 0.51051063320000001, 0.51057567140000004, 0.5106309805, 0.51067642260000001, 0.51071188440000004, 0.51073727749999998, 0.51075253860000003, 0.51075762989999995], [0.50716871620000004, 0.50716370860000004, 0.50714870400000001, 0.50712373450000003, 0.50708885709999996, 0.50704415110000001, 0.50698971739999998, 0.5069256781, 0.50685217530000004, 0.50676937089999996, 0.50667744459999997, 0.50657659389999998, 0.50646703240000002, 0.5063489887, 0.50622270560000004, 0.50608843839999995, 0.50594645449999998, 0.5057970316, 0.50564045680000003, 0.50547702579999998, 0.50530704159999995, 0.50513081360000001, 0.50494865680000001, 0.50476089049999995, 0.50456783800000005, 0.50436982529999996, 0.50416718039999997, 0.50396023280000002, 0.5037493126, 0.50353474970000001, 0.50331687329999997, 0.50309601110000002, 0.50287248870000001, 0.50264662910000002, 0.50241875199999997, 0.50218917299999999, 0.50195820369999999, 0.50172615030000001, 0.50149331379999995, 0.5012599888, 0.50102646370000004, 0.50079301990000002, 0.50055993109999997, 0.50032746350000001, 0.50009587460000005, 0.49986541350000002, 0.49963632029999999, 0.4994088257, 0.49918315079999998, 0.49895950680000001, 0.49873809479999998, 0.49851910570000002, 0.4983027196, 0.49808910629999997, 0.49787842450000003, 0.4976708225, 0.49746643750000002, 0.4972653957, 0.49706781259999999, 0.49687379300000001, 0.49668343059999998, 0.49649680880000002, 0.49631400009999999, 0.49613506699999999, 0.49596006139999999, 0.49578902520000001, 0.49562199070000001, 0.49545898030000002, 0.49530000709999999, 0.49514507489999998, 0.49499417870000001, 0.49484730469999999, 0.49470443089999999, 0.4945655269, 0.49443055450000001, 0.49429946809999997, 0.49417221430000002, 0.49404873319999998, 0.4939289576, 0.49381281389999998, 0.4937002224, 0.49359109699999998, 0.49348534599999999, 0.49338287209999998, 0.49328357249999999, 0.49318733949999999, 0.49309406039999998, 0.49300361780000002, 0.49291588980000001, 0.49283075059999998, 0.4927480702, 0.49266771520000002, 0.49268808149999999, 0.493038794, 0.49338159329999998, 0.49371547580000003, 0.4940395789, 0.49435318420000002, 0.49465571489999999, 0.4949467307, 0.4952259181, 0.49549307889999999, 0.49574811749999997, 0.49599102690000002, 0.49622187499999998, 0.49644079070000002, 0.4966479519, 0.49684357330000001, 0.49702789629999999, 0.49720117990000001, 0.4973636931, 0.49751570769999998, 0.49765749349999999, 0.49778931389999997, 0.49791142199999999, 0.49802405859999999, 0.49812744990000002, 0.49822180589999998, 0.49830732020000001, 0.49838416899999999, 0.49845251070000002, 0.4985124863, 0.49856421940000001, 0.49860781609999999, 0.49864336580000002, 0.49867094080000002, 0.4986905975, 0.49870237560000003, 0.49870629890000001, 0.49870749669999997, 0.49871095440000002, 0.49871620639999997, 0.49872229750000002, 0.4987277054, 0.49873086249999998, 0.49873113629999999, 0.49872887519999998, 0.49872467209999999, 0.49871897589999997, 0.49871206740000001, 0.49870411679999999, 0.49869523069999999, 0.49868547860000001, 0.49867490910000001, 0.49866355820000002, 0.4986514541, 0.49863862069999998, 0.49862507909999998, 0.4986108487, 0.49859594829999998, 0.49858039650000002, 0.49856421220000002, 0.49854741450000001, 0.49853002359999998, 0.49851206059999997, 0.49849354759999998, 0.4984745082, 0.49845496750000001, 0.49843495230000001, 0.49841449110000002, 0.49839361469999999, 0.49837235610000002, 0.49835075089999997, 0.49832883729999999, 0.49830665689999998, 0.49828425450000002, 0.49826167859999998, 0.498238982, 0.4982162222, 0.49819346170000001, 0.4981707689, 0.49814821850000002, 0.49812589239999999, 0.49810388049999998, 0.49808228180000003, 0.49806120500000001, 0.4980407704, 0.4980211108, 0.49800237320000001, 0.49798472040000002, 0.4979683332, 0.49795341189999998, 0.4979401792, 0.49792888210000003, 0.49791979489999999, 0.49791322129999999, 0.49790949699999998, 0.49790899220000001, 0.49791211289999998, 0.49791930220000002, 0.49793103999999999, 0.49794784089999999, 0.49797025099999997, 0.49799884030000002, 0.49803419409999999, 0.4980768995, 0.49812753009999999, 0.49818662679999998, 0.49825467849999999, 0.49833210220000002, 0.4984192248, 0.49851626980000002, 0.49862334829999999, 0.49874045680000001, 0.4988674816, 0.49900420839999998, 0.49915033539999998, 0.4993054904, 0.49946924650000002, 0.49964113859999998, 0.4998206771, 0.50000736000000001, 0.50020068159999997, 0.50040013910000003, 0.50060523710000004, 0.50081549010000004, 0.50103042289999999, 0.50124957110000001, 0.50147247910000003, 0.50169869909999998, 0.5019277889, 0.50215930909999995, 0.50239282159999998, 0.50262788660000002, 0.5028640607, 0.50310089479999998, 0.50333793240000002, 0.50357470810000005, 0.50381074609999998, 0.50404555920000005, 0.50427864870000005, 0.50450950360000002, 0.50473760069999996, 0.50496240520000002, 0.50518337160000004, 0.50539994440000002, 0.50561155999999996, 0.5058176486, 0.50601763609999995, 0.50621094700000002, 0.50639700679999999, 0.50657524580000002, 0.50674510189999999, 0.50690602439999999, 0.50705747779999999, 0.50719894570000001, 0.50732993429999995, 0.50744997690000004, 0.50755863729999995, 0.50765551399999997, 0.50774024299999998, 0.50781250190000005, 0.5078720122, 0.50791854250000001, 0.50795191029999998, 0.50797198399999999, 0.50797868400000001, 0.50797198399999999, 0.50795191029999998, 0.50791854250000001, 0.5078720122, 0.50781250190000005, 0.50774024299999998, 0.50765551399999997, 0.50755863729999995, 0.50744997690000004, 0.50732993429999995, 0.50719894570000001, 0.50705747779999999, 0.50690602439999999, 0.50674510189999999, 0.50657524580000002, 0.50639700679999999, 0.50621094690000001, 0.50601763609999995, 0.5058176486, 0.50561155999999996, 0.50539994430000001, 0.50518337150000003, 0.50496240510000001, 0.50473760059999995, 0.50450950350000001, 0.50427864860000005, 0.50404555910000004, 0.50381074589999997, 0.50357470790000003, 0.5033379322, 0.50310089449999995, 0.50286406039999998, 0.50262788629999999, 0.50239282129999996, 0.50215930870000003, 0.50192778839999996, 0.50169869860000005, 0.50147247849999999, 0.50124957049999996, 0.50103042229999994, 0.50081548939999998, 0.50060523629999998, 0.50040013819999996, 0.5002006806, 0.50000735900000004, 0.49982067600000002, 0.49964113729999998, 0.49946924520000002, 0.49930548899999999, 0.49915033390000002, 0.49900420699999998, 0.49886748050000002, 0.49874045579999998, 0.49862334749999998, 0.49851626929999998, 0.49841922440000003, 0.498332102, 0.49825467849999999, 0.49818662699999999, 0.49812753050000003, 0.4980769001, 0.4980341948, 0.49799884109999998, 0.49797025189999999, 0.49794784199999997, 0.49793104119999998, 0.49791930350000002, 0.49791211429999999, 0.49790899370000002, 0.4979094986, 0.49791322290000001, 0.49791979660000002, 0.4979288838, 0.49794018089999997, 0.49795341360000001, 0.49796833499999998, 0.49798472230000002, 0.498002375, 0.49802111269999999, 0.49804077229999999, 0.4980612069, 0.49808228360000001, 0.49810388239999998, 0.49812589429999998, 0.49814822040000001, 0.4981707708, 0.4981934636, 0.49821622409999999, 0.49823898389999999, 0.49826168050000003, 0.49828425640000001, 0.49830665880000002, 0.49832883919999998, 0.49835075270000001, 0.49837235790000001, 0.49839361650000003, 0.49841449290000001, 0.49843495409999999, 0.49845496929999999, 0.49847450999999998, 0.49849354940000001, 0.49851206240000001, 0.49853002540000002, 0.49854741629999999, 0.4985642139, 0.49858039830000001, 0.49859595010000002, 0.49861085040000003, 0.49862508080000001, 0.49863862240000001, 0.49865145579999998, 0.49866355979999999, 0.49867491079999998, 0.49868548019999998, 0.4986952322, 0.4987041183, 0.4987120686, 0.49871897700000001, 0.49872467300000001, 0.49872887580000003, 0.49873113629999999, 0.49873086179999998, 0.49872770399999999, 0.49872229620000003, 0.49871620529999999, 0.49871095329999998, 0.49870749559999999, 0.49870629789999998, 0.49870690070000001, 0.49870869109999999, 0.4987116117, 0.49871555179999999, 0.49872032360000002, 0.49872562609999999, 0.49873101320000002, 0.49873591789999999, 0.4987398019, 0.49874237519999998, 0.49874366689999999, 0.49874388930000002, 0.49874327979999999, 0.49874203, 0.4987402769, 0.4987381152, 0.49873561, 0.49873280720000002, 0.49872973949999999, 0.49872643169999997, 0.4987229024, 0.49871916659999999, 0.4987152366, 0.49871112290000003, 0.4987068348, 0.49870238049999999, 0.49869776789999998, 0.49869300430000002, 0.49868809689999999, 0.49868305289999998, 0.49867787940000002, 0.49867258339999998, 0.49866717230000002, 0.49866165359999998, 0.498656035, 0.49865032450000002, 0.49864453040000001, 0.49863866140000002, 0.4986327264, 0.49862673489999998, 0.49862069669999998, 0.49861462220000002, 0.49860852230000002, 0.49860240830000002, 0.49859629220000001, 0.49859018649999998, 0.49858410440000001, 0.49857805989999998, 0.49857206770000001, 0.49856614310000003, 0.49856030229999998, 0.49855456259999997, 0.49854894199999999, 0.49854345960000002, 0.49853813559999999, 0.49853299109999999, 0.49852804880000001, 0.4985233322, 0.49851886670000001, 0.4985146788, 0.49851079659999997, 0.49850725000000001, 0.49850407070000002, 0.49850129199999998, 0.49849894970000003, 0.49849708139999999, 0.49849572730000002, 0.49849493, 0.49849473480000001, 0.49849518980000002, 0.49849634650000002, 0.49849825939999998, 0.49850098669999998, 0.49850459060000002, 0.49850913730000002, 0.49851469749999999, 0.49852134669999998, 0.49852916580000001, 0.49853824089999998, 0.49854866440000001, 0.4985605353, 0.49857395939999999, 0.49858905009999999, 0.49860592920000002, 0.49862472699999999, 0.4986455836, 0.49866864929999999, 0.49869408539999999, 0.49872206520000001, 0.49875277480000002, 0.49878641419999997, 0.49882319809999998, 0.49886335739999998, 0.4989071397, 0.49895481120000001, 0.49900665719999998, 0.49906298360000001, 0.49912411839999998, 0.49919041209999998, 0.49926223920000001, 0.4993399993, 0.49942411720000002, 0.49951504390000001, 0.49961325629999997, 0.49971925719999999, 0.499833574, 0.49995675740000001, 0.50008937860000002, 0.50023202629999997, 0.50038530189999997, 0.50054981399999998, 0.50072617139999998, 0.50091497460000001, 0.50111680680000004, 0.50133222249999998, 0.50156173630000001, 0.50180581069999997, 0.50206484340000002, 0.50233915470000001, 0.50262897719999999, 0.50293444440000001, 0.50325558380000002, 0.50359231019999995, 0.50394442319999999, 0.5043116057, 0.50469342660000005, 0.50508934400000005, 0.5054987111, 0.5067995917, 0.50818928109999995, 0.50963533689999996, 0.51109460689999997, 0.51250425970000002, 0.51377160580000003, 0.51479401150000004, 0.51553006020000003, 0.51601882570000002, 0.51631595829999999, 0.5164577883, 0.5164633421, 0.51634247330000005, 0.51610114070000002, 0.51574422080000004, 0.51527698060000005, 0.51470586119999995, 0.51403888870000003, 0.51328585680000005, 0.51245834260000001, 0.51156957790000002, 0.51063417629999996, 0.50966771590000004, 0.50868618740000004, 0.50770534290000002, 0.50674001000000002, 0.50580346460000003, 0.50490696700000004, 0.50405955270000002, 0.50326813530000003, 0.50253792399999997, 0.50187310610000002, 0.50127763319999996, 0.50075572960000003, 0.50031135609999999, 0.49994587039999999, 0.49965481160000003, 0.49942715679999999, 0.49924864079999998, 0.49910604609999998, 0.4989893473, 0.49889176299999999, 0.4988089859, 0.4987383775, 0.49867836180000003, 0.4986280152, 0.4985868034, 0.49855441350000002, 0.49853064920000001, 0.49851536600000002, 0.49850843230000003, 0.4985097074, 0.49851903019999999, 0.4985362149, 0.4985610506, 0.4985933038, 0.49863272190000002, 0.49867903679999998, 0.49873196990000002, 0.49879123520000002, 0.49885654330000001, 0.49892760460000002, 0.49900413160000001, 0.49908584150000002, 0.49917245789999998, 0.49926371260000002, 0.49935934650000002, 0.49945911069999999, 0.49956276719999998, 0.49967008959999998, 0.49978086329999999, 0.49989488589999997, 0.50001196709999995, 0.50013192910000004, 0.50025460610000005, 0.50037984459999996, 0.5005075028, 0.50063745069999999, 0.50076956939999995, 0.50090375090000006, 0.50103989770000001, 0.50117792210000001, 0.50131774569999998, 0.50145929869999994, 0.50160251899999997, 0.50174735159999995, 0.501893747, 0.50204166100000003, 0.50219105259999997, 0.50234188280000003, 0.50249411330000004, 0.50264770439999995, 0.50280261309999996, 0.50295879099999996, 0.50311618160000005, 0.50327471830000003, 0.50343432079999995, 0.50359489270000002, 0.50375631809999999, 0.50391845840000005, 0.50408114879999999, 0.50424419519999997, 0.50440737089999998, 0.50457041380000001, 0.50473302340000004, 0.50489485869999995, 0.50505553690000005, 0.50521463219999996, 0.50537167589999998, 0.50552615759999997, 0.50567752700000002, 0.50582519729999997, 0.50596854989999995, 0.50610693920000005, 0.50623970029999998, 0.5063661558, 0.50648562480000003, 0.50659743219999998, 0.50670091799999994, 0.50679544720000003, 0.50688042010000001, 0.50695528109999999, 0.5070195287, 0.50707272270000003, 0.50711449279999998, 0.50714454369999995, 0.50716266099999996, 0.50716871620000004, 0.50716457729999997, 0.50715218979999999, 0.5071316293, 0.50710302269999996, 0.50706654539999996, 0.50702241879999999, 0.50697090779999998, 0.50691231719999996, 0.50684698790000005, 0.50677529320000003, 0.50669763359999997, 0.50661443269999995, 0.50652613229999999, 0.50643318729999998, 0.50633606149999999, 0.50623522259999998, 0.50613113789999997, 0.50602427029999997, 0.50591507449999995, 0.50580399389999997, 0.50569145719999997, 0.50557787669999998, 0.50546364560000001, 0.50534913709999996, 0.50523470270000004, 0.50512067240000003, 0.50500735370000005, 0.50489503219999998, 0.50478397200000003, 0.50467441599999996, 0.50456658759999995, 0.50446069110000002, 0.5043569135, 0.50425542550000002, 0.5041563832, 0.50405992960000001, 0.50396619570000001, 0.5038753024, 0.50378736150000003, 0.50370247739999996, 0.50362074840000004, 0.50354226749999997, 0.50346712410000005, 0.50339540449999998, 0.50332719319999997, 0.50326257389999995, 0.50320162999999996, 0.50314444520000001, 0.50309110479999997, 0.5030416955, 0.50299630630000003, 0.50295502889999999, 0.50291795790000005, 0.50288519119999997, 0.50285683000000003, 0.50283297940000005, 0.5028137479, 0.50279924769999995, 0.50278959469999995, 0.50278490809999998, 0.50278531039999996, 0.50279092670000003, 0.50280188479999999, 0.5028183141, 0.50284034519999998, 0.50286810930000003, 0.50290173689999995, 0.50294135689999997, 0.50298709539999997, 0.50303907430000006, 0.50309740989999996, 0.5031622107, 0.50323357609999997, 0.50331159420000005, 0.50339633910000003, 0.50348786950000002, 0.50358622549999998, 0.50369142639999998, 0.50380346799999998, 0.50392232039999996, 0.50404792529999998, 0.5041801937, 0.50431900360000004, 0.50446419880000004, 0.50461558669999995, 0.50477293739999995, 0.50493598360000003, 0.50510441979999998, 0.5052779033, 0.50545605510000002, 0.50563846180000005, 0.50582467730000003, 0.50601422610000002, 0.50620660640000004, 0.50640129330000005, 0.50659774300000004, 0.50679539689999997, 0.50699368519999999, 0.50719203170000005, 0.50738985700000006, 0.50758658270000001, 0.50778163470000004, 0.50797444650000001, 0.50816446169999996, 0.50835113679999999, 0.50853394279999997, 0.50871236740000003, 0.5088859161, 0.50905411339999995, 0.50921650370000004, 0.50937265200000004, 0.50952214429999998, 0.50966458830000005, 0.50979961330000001, 0.509926871, 0.51004603510000002, 0.51015680220000004, 0.51025889170000005, 0.51035204590000005, 0.51043603069999999, 0.51051063549999998, 0.51057567370000001, 0.51063098279999997, 0.51067642489999998, 0.5107118866, 0.51073727970000005, 0.5107525409, 0.51075763220000003]]
omp= [-3.0, -2.98828125, -2.9765625, -2.96484375, -2.953125, -2.94140625, -2.9296875, -2.91796875, -2.90625, -2.89453125, -2.8828125, -2.87109375, -2.859375, -2.84765625, -2.8359375, -2.82421875, -2.8125, -2.80078125, -2.7890625, -2.77734375, -2.765625, -2.75390625, -2.7421875, -2.73046875, -2.71875, -2.70703125, -2.6953125, -2.68359375, -2.671875, -2.66015625, -2.6484375, -2.63671875, -2.625, -2.61328125, -2.6015625, -2.58984375, -2.578125, -2.56640625, -2.5546875, -2.54296875, -2.53125, -2.51953125, -2.5078125, -2.49609375, -2.484375, -2.47265625, -2.4609375, -2.44921875, -2.4375, -2.42578125, -2.4140625, -2.40234375, -2.390625, -2.37890625, -2.3671875, -2.35546875, -2.34375, -2.33203125, -2.3203125, -2.30859375, -2.296875, -2.28515625, -2.2734375, -2.26171875, -2.25, -2.23828125, -2.2265625, -2.21484375, -2.203125, -2.19140625, -2.1796875, -2.16796875, -2.15625, -2.14453125, -2.1328125, -2.12109375, -2.109375, -2.09765625, -2.0859375, -2.07421875, -2.0625, -2.05078125, -2.0390625, -2.02734375, -2.015625, -2.00390625, -1.9921875, -1.98046875, -1.96875, -1.95703125, -1.9453125, -1.93359375, -1.921875, -1.91015625, -1.8984375, -1.88671875, -1.875, -1.86328125, -1.8515625, -1.83984375, -1.828125, -1.81640625, -1.8046875, -1.79296875, -1.78125, -1.76953125, -1.7578125, -1.74609375, -1.734375, -1.72265625, -1.7109375, -1.69921875, -1.6875, -1.67578125, -1.6640625, -1.65234375, -1.640625, -1.62890625, -1.6171875, -1.60546875, -1.59375, -1.58203125, -1.5703125, -1.55859375, -1.546875, -1.53515625, -1.5234375, -1.51171875, -1.5, -1.48828125, -1.4765625, -1.46484375, -1.453125, -1.44140625, -1.4296875, -1.41796875, -1.40625, -1.39453125, -1.3828125, -1.37109375, -1.359375, -1.34765625, -1.3359375, -1.32421875, -1.3125, -1.30078125, -1.2890625, -1.27734375, -1.265625, -1.25390625, -1.2421875, -1.23046875, -1.21875, -1.20703125, -1.1953125, -1.18359375, -1.171875, -1.16015625, -1.1484375, -1.13671875, -1.125, -1.11328125, -1.1015625, -1.08984375, -1.078125, -1.06640625, -1.0546875, -1.04296875, -1.03125, -1.01953125, -1.0078125, -0.99609375, -0.984375, -0.97265625, -0.9609375, -0.94921875, -0.9375, -0.92578125, -0.9140625, -0.90234375, -0.890625, -0.87890625, -0.8671875, -0.85546875, -0.84375, -0.83203125, -0.8203125, -0.80859375, -0.796875, -0.78515625, -0.7734375, -0.76171875, -0.75, -0.73828125, -0.7265625, -0.71484375, -0.703125, -0.69140625, -0.6796875, -0.66796875, -0.65625, -0.64453125, -0.6328125, -0.62109375, -0.609375, -0.59765625, -0.5859375, -0.57421875, -0.5625, -0.55078125, -0.5390625, -0.52734375, -0.515625, -0.50390625, -0.4921875, -0.48046875, -0.46875, -0.45703125, -0.4453125, -0.43359375, -0.421875, -0.41015625, -0.3984375, -0.38671875, -0.375, -0.36328125, -0.3515625, -0.33984375, -0.328125, -0.31640625, -0.3046875, -0.29296875, -0.28125, -0.26953125, -0.2578125, -0.24609375, -0.234375, -0.22265625, -0.2109375, -0.19921875, -0.1875, -0.17578125, -0.1640625, -0.15234375, -0.140625, -0.12890625, -0.1171875, -0.10546875, -0.09375, -0.08203125, -0.0703125, -0.05859375, -0.046875, -0.03515625, -0.0234375, -0.01171875, 0.0, 0.01171875, 0.0234375, 0.03515625, 0.046875, 0.05859375, 0.0703125, 0.08203125, 0.09375, 0.10546875, 0.1171875, 0.12890625, 0.140625, 0.15234375, 0.1640625, 0.17578125, 0.1875, 0.19921875, 0.2109375, 0.22265625, 0.234375, 0.24609375, 0.2578125, 0.26953125, 0.28125, 0.29296875, 0.3046875, 0.31640625, 0.328125, 0.33984375, 0.3515625, 0.36328125, 0.375, 0.38671875, 0.3984375, 0.41015625, 0.421875, 0.43359375, 0.4453125, 0.45703125, 0.46875, 0.48046875, 0.4921875, 0.50390625, 0.515625, 0.52734375, 0.5390625, 0.55078125, 0.5625, 0.57421875, 0.5859375, 0.59765625, 0.609375, 0.62109375, 0.6328125, 0.64453125, 0.65625, 0.66796875, 0.6796875, 0.69140625, 0.703125, 0.71484375, 0.7265625, 0.73828125, 0.75, 0.76171875, 0.7734375, 0.78515625, 0.796875, 0.80859375, 0.8203125, 0.83203125, 0.84375, 0.85546875, 0.8671875, 0.87890625, 0.890625, 0.90234375, 0.9140625, 0.92578125, 0.9375, 0.94921875, 0.9609375, 0.97265625, 0.984375, 0.99609375, 1.0078125, 1.01953125, 1.03125, 1.04296875, 1.0546875, 1.06640625, 1.078125, 1.08984375, 1.1015625, 1.11328125, 1.125, 1.13671875, 1.1484375, 1.16015625, 1.171875, 1.18359375, 1.1953125, 1.20703125, 1.21875, 1.23046875, 1.2421875, 1.25390625, 1.265625, 1.27734375, 1.2890625, 1.30078125, 1.3125, 1.32421875, 1.3359375, 1.34765625, 1.359375, 1.37109375, 1.3828125, 1.39453125, 1.40625, 1.41796875, 1.4296875, 1.44140625, 1.453125, 1.46484375, 1.4765625, 1.48828125, 1.5, 1.51171875, 1.5234375, 1.53515625, 1.546875, 1.55859375, 1.5703125, 1.58203125, 1.59375, 1.60546875, 1.6171875, 1.62890625, 1.640625, 1.65234375, 1.6640625, 1.67578125, 1.6875, 1.69921875, 1.7109375, 1.72265625, 1.734375, 1.74609375, 1.7578125, 1.76953125, 1.78125, 1.79296875, 1.8046875, 1.81640625, 1.828125, 1.83984375, 1.8515625, 1.86328125, 1.875, 1.88671875, 1.8984375, 1.91015625, 1.921875, 1.93359375, 1.9453125, 1.95703125, 1.96875, 1.98046875, 1.9921875, 2.00390625, 2.015625, 2.02734375, 2.0390625, 2.05078125, 2.0625, 2.07421875, 2.0859375, 2.09765625, 2.109375, 2.12109375, 2.1328125, 2.14453125, 2.15625, 2.16796875, 2.1796875, 2.19140625, 2.203125, 2.21484375, 2.2265625, 2.23828125, 2.25, 2.26171875, 2.2734375, 2.28515625, 2.296875, 2.30859375, 2.3203125, 2.33203125, 2.34375, 2.35546875, 2.3671875, 2.37890625, 2.390625, 2.40234375, 2.4140625, 2.42578125, 2.4375, 2.44921875, 2.4609375, 2.47265625, 2.484375, 2.49609375, 2.5078125, 2.51953125, 2.53125, 2.54296875, 2.5546875, 2.56640625, 2.578125, 2.58984375, 2.6015625, 2.61328125, 2.625, 2.63671875, 2.6484375, 2.66015625, 2.671875, 2.68359375, 2.6953125, 2.70703125, 2.71875, 2.73046875, 2.7421875, 2.75390625, 2.765625, 2.77734375, 2.7890625, 2.80078125, 2.8125, 2.82421875, 2.8359375, 2.84765625, 2.859375, 2.87109375, 2.8828125, 2.89453125, 2.90625, 2.91796875, 2.9296875, 2.94140625, 2.953125, 2.96484375, 2.9765625, 2.98828125, 3.0]
muLDA= 6.45686236984
mu= 7.220028